From d31791684475171675aafcd59f0ada48d5187045 Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Tue, 15 Dec 2020 10:54:41 +0000 Subject: [PATCH 001/196] Removed jblas --- nearest_correlation_matrices/NcmNag.java | 237 +++++++++++++++-------- 1 file changed, 159 insertions(+), 78 deletions(-) diff --git a/nearest_correlation_matrices/NcmNag.java b/nearest_correlation_matrices/NcmNag.java index af3feb6..31f86f4 100644 --- a/nearest_correlation_matrices/NcmNag.java +++ b/nearest_correlation_matrices/NcmNag.java @@ -1,79 +1,103 @@ -import java.lang.Math; -import org.jblas.DoubleMatrix; -import org.jblas.Eigen; import com.nag.routines.G02.G02AA; -//import org.tc33.jheatchart.HeatChart; +import com.nag.routines.F01.F01CK; +import com.nag.routines.F08.F08NA; +import com.nag.routines.F06.F06RC; + +import java.lang.Math; +import java.util.Arrays; import java.io.File; import java.io.IOException; import java.io.FileWriter; -//import java.awt.Color; public class NcmNag { public static void main(String[] args) { - DoubleMatrix P = new DoubleMatrix( - new double[][] { { 59.875, 42.734, 47.938, 60.359, 54.016, 69.625, 61.500, 62.125 }, - { 53.188, 49.000, 39.500, Double.NaN, 34.750, Double.NaN, 83.000, 44.500 }, - { 55.750, 50.000, 38.938, Double.NaN, 30.188, Double.NaN, 70.875, 29.938 }, - { 65.500, 51.063, 45.563, 69.313, 48.250, 62.375, 85.250, Double.NaN }, - { 69.938, 47.000, 52.313, 71.016, Double.NaN, 59.359, 61.188, 48.219 }, - { 61.500, 44.188, 53.438, 57.000, 35.313, 55.813, 51.500, 62.188 }, - { 59.230, 48.210, 62.190, 61.390, 54.310, 70.170, 61.750, 91.080 }, - { 61.230, 48.700, 60.300, 68.580, 61.250, 70.340, Double.NaN, Double.NaN }, - { 52.900, 52.690, 54.230, Double.NaN, 68.170, 70.600, 57.870, 88.640 }, - { 57.370, 59.040, 59.870, 62.090, 61.620, 66.470, 65.370, 85.840 } }); - - DoubleMatrix G = cor_bar(P); + double[][] P = new double[][] { { 59.875, 42.734, 47.938, 60.359, 54.016, 69.625, 61.500, 62.125 }, + { 53.188, 49.000, 39.500, Double.NaN, 34.750, Double.NaN, 83.000, 44.500 }, + { 55.750, 50.000, 38.938, Double.NaN, 30.188, Double.NaN, 70.875, 29.938 }, + { 65.500, 51.063, 45.563, 69.313, 48.250, 62.375, 85.250, Double.NaN }, + { 69.938, 47.000, 52.313, 71.016, Double.NaN, 59.359, 61.188, 48.219 }, + { 61.500, 44.188, 53.438, 57.000, 35.313, 55.813, 51.500, 62.188 }, + { 59.230, 48.210, 62.190, 61.390, 54.310, 70.170, 61.750, 91.080 }, + { 61.230, 48.700, 60.300, 68.580, 61.250, 70.340, Double.NaN, Double.NaN }, + { 52.900, 52.690, 54.230, Double.NaN, 68.170, 70.600, 57.870, 88.640 }, + { 57.370, 59.040, 59.870, 62.090, 61.620, 66.470, 65.370, 85.840 } }; + + double[][] G = cor_bar(P); System.out.println("The approximate correlation matrix"); - printMatrix(G.toArray2()); + printMatrix(G); System.out.println(); + F08NA f08na = new F08NA(); + String jobvl = "N"; + String jobvr = "N"; + int n = G[0].length; + double[] G1d = convert2DTo1D(G); + int lda = G.length; + double[] wr = new double[n]; + double[] wi = new double[n]; + int ldvl = 1; + double[] vl = new double[ldvl]; + int ldvr = 1; + double[] vr = new double[ldvr]; + int lwork = 3 * n; + double[] work = new double[lwork]; + int info = 0; + f08na.eval(jobvl, jobvr, n, G1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, info); + System.out.print("Sorted eigenvalues of G: "); - printVector(Eigen.symmetricEigenvalues(G).toArray()); + Arrays.sort(wr); + printVector(wr); System.out.println(); // Call NAG routine G02AA and print the result G02AA g02aa = new G02AA(); - int n = G.rows; + G1d = convert2DTo1D(G); + n = G.length; int ldg = n; int ldx = n; double errtol = 0.0; int maxits = 0; int maxit = 0; - double[] x_arr1d = new double[ldx * n]; + double[] X1d = new double[ldx * n]; int iter = 0; int feval = 0; double nrmgrd = 0.0; int ifail = 0; - g02aa.eval(G.toArray(), ldg, n, errtol, maxits, maxit, x_arr1d, ldx, iter, feval, nrmgrd, ifail); + g02aa.eval(G1d, ldg, n, errtol, maxits, maxit, X1d, ldx, iter, feval, nrmgrd, ifail); - double[][] x_arr2d = convert1DTo2D(x_arr1d, ldx); - DoubleMatrix X = new DoubleMatrix(x_arr2d); + double[][] X = convert1DTo2D(X1d, ldx); iter = g02aa.getITER(); System.out.println("Nearest correlation matrix"); - printMatrix(X.toArray2()); + printMatrix(X); System.out.println(); + jobvl = "N"; + jobvr = "N"; + n = X[0].length; + lda = X.length; + wr = new double[n]; + wi = new double[n]; + ldvl = 1; + vl = new double[ldvl]; + ldvr = 1; + vr = new double[ldvr]; + lwork = 3 * n; + work = new double[lwork]; + info = 0; + f08na.eval(jobvl, jobvr, n, X1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, info); + System.out.print("Sorted eigenvalues of X: "); - printVector(Eigen.symmetricEigenvalues(X).toArray()); + Arrays.sort(wr); + printVector(wr); System.out.println(); - // HeatChart heatchart = new HeatChart(matrixAbs(X.sub(G)).toArray2()); - - // heatchart.setTitle("|G-X| for G02AA"); - // //heatchart.setXAxisLabel(String.format("Iterations: %d, ||G-X||F = %.4f", iter, X.sub(G).norm2())); - // //heatchart.setYAxisLabel("Y axis"); - // //heatchart.setChartMargin(40); - // heatchart.setHighValueColour(Color.BLUE); - - // heatchart.saveToFile(new File("|G-X| for G02AA.png")); - try { FileWriter writer = new FileWriter(new File("g02aa.d")); writer.write(iter + "\n"); @@ -91,7 +115,6 @@ public static void main(String[] args) { e.printStackTrace(); } - } /** @@ -100,22 +123,20 @@ public static void main(String[] args) { * @param P * @return */ - public static DoubleMatrix cov_bar(DoubleMatrix P) { + public static double[][] cov_bar(double[][] P) { - DoubleMatrix xi, xj; + double[] xi, xj; boolean[] xib, xjb, notp; - - int n = P.columns; + int n = P[0].length; + double[][] S = new double[n][n]; int notpFalseCount; - DoubleMatrix S = DoubleMatrix.zeros(n, n); - for (int i = 0; i < n; i++) { // Take the ith column - xi = P.getColumn(i); + xi = getMatrixColumn(P, i); for (int j = 0; j < i + 1; j++) { // Take the jth column, where j <= i - xj = P.getColumn(j); + xj = getMatrixColumn(P, j); // Set mask such that all NaNs are true xib = getNanMask(xi); @@ -123,8 +144,8 @@ public static DoubleMatrix cov_bar(DoubleMatrix P) { notp = addBoolArrOr(xib, xjb); - S.put(i, j, matrixMaskedDot(xi.sub(matrixMaskedMean(xi, notp)), (xj.sub(matrixMaskedMean(xj, notp))), - notp)); + S[i][j] = matrixMaskedDot(vectorSubScalar(xi, vectorMaskedMean(xi, notp)), + vectorSubScalar(xj, vectorMaskedMean(xj, notp)), notp); // Take the sum over !notp to normalize notpFalseCount = 0; @@ -133,11 +154,10 @@ public static DoubleMatrix cov_bar(DoubleMatrix P) { notpFalseCount++; } } - S.put(i, j, 1.0 / (notpFalseCount - 1) * S.get(i, j)); - S.put(j, i, S.get(i,j)); + S[i][j] = 1.0 / (notpFalseCount - 1) * S[i][j]; + S[j][i] = S[i][j]; } } - return S; } @@ -146,14 +166,31 @@ public static DoubleMatrix cov_bar(DoubleMatrix P) { * * @param P */ - public static DoubleMatrix cor_bar(DoubleMatrix P) { - DoubleMatrix S, D; + public static double[][] cor_bar(double[][] P) { + double[][] S, D; S = cov_bar(P); - D = DoubleMatrix.diag(getMatrixSQRT(S.diag()).rdiv(1.0)); - return D.mmul(S.mmul(D)); + D = getMatrixFromDiag(vectorRightDiv(vectorSqrt(getMatrixDiag(S)), 1.0)); + + F01CK f01ck = new F01CK(); + double[] S_ = new double[S.length * S[0].length]; + double[] S1d = convert2DTo1D(S); + double[] D1d = convert2DTo1D(D); + int n = S.length; + int p = n; + int m = n; + double[] z = new double[0]; + int iz = 0; + int opt = 1; + int ifail = 0; + f01ck.eval(S_, S1d, D1d, n, p, m, z, iz, opt, ifail); + + double[] D_ = new double[n * n]; + f01ck.eval(D_, D1d, S_, n, p, m, z, iz, opt, ifail); + + return convert1DTo2D(D_, n); } - public static double matrixMaskedDot(DoubleMatrix a, DoubleMatrix b, boolean[] mask) { + public static double matrixMaskedDot(double[] a, double[] b, boolean[] mask) { if ((a.length != b.length) || (a.length != mask.length) || (b.length != mask.length)) { System.out.println("Arrays a(" + a.length + "), b(" + b.length + ") and mask(" + mask.length + ") need to have the same length."); @@ -163,42 +200,77 @@ public static double matrixMaskedDot(DoubleMatrix a, DoubleMatrix b, boolean[] m double r = 0; for (int i = 0; i < a.length; i++) { if (!mask[i]) { - r += a.get(i) * b.get(i); + r += a[i] * b[i]; } } return r; } - public static DoubleMatrix getMatrixSQRT(DoubleMatrix a) { - DoubleMatrix t = new DoubleMatrix(); - t.copy(a); - for (int i = 0; i < t.rows; i++) { - for (int j = 0; j < t.columns; j++) { - t.put(i, j, Math.sqrt(t.get(i, j))); - } + public static double[] vectorSqrt(double[] a) { + double[] t = new double[a.length]; + for (int i = 0; i < t.length; i++) { + t[i] = Math.sqrt(a[i]); } return t; } - public static double matrixMaskedMean(DoubleMatrix a, boolean[] mask) { + public static double[] getMatrixDiag(double[][] a) { + double[] diag = new double[a.length]; + for (int i = 0; i < diag.length; i++) { + diag[i] = a[i][i]; + } + return diag; + } + + public static double[][] getMatrixFromDiag(double[] diag) { + double[][] t = new double[diag.length][diag.length]; + for (int i = 0; i < t.length; i++) { + t[i][i] = diag[i]; + } + return t; + } + + public static double[] vectorRightDiv(double[] a, double s) { + double[] t = new double[a.length]; + for (int i = 0; i < t.length; i++) { + t[i] = s / a[i]; + } + return t; + } + + public static double[] getMatrixColumn(double[][] a, int col) { + double[] t = new double[a.length]; + for (int i = 0; i < t.length; i++) { + t[i] = a[i][col]; + } + return t; + } + + public static double vectorMaskedMean(double[] a, boolean[] mask) { double sum = 0; int n = a.length; - for (int i = 0; i < a.length; i++) { if (mask[i]) { n--; } else { - sum += a.get(i); + sum += a[i]; } } - return sum / n; } - public static boolean[] getNanMask(DoubleMatrix a) { + public static double[] vectorSubScalar(double[] a, double s) { + double[] t = new double[a.length]; + for (int i = 0; i < t.length; i++) { + t[i] = a[i] - s; + } + return t; + } + + public static boolean[] getNanMask(double[] a) { boolean[] t = new boolean[a.length]; for (int i = 0; i < t.length; i++) { - if (Double.isNaN(a.get(i))) { + if (Double.isNaN(a[i])) { t[i] = true; } else { t[i] = false; @@ -220,15 +292,24 @@ public static boolean[] addBoolArrOr(boolean[] a, boolean[] b) { return t; } - public static DoubleMatrix matrixAbs(DoubleMatrix a) { - DoubleMatrix b = new DoubleMatrix(a.toArray2()); - - for (int i = 0; i < b.rows; i++) { - for (int j = 0; j < b.columns; j++) { - b.put(i, j, Math.abs(b.get(i, j))); + public static double[][] matrixAbs(double[][] a) { + double[][] b = new double[a.length][a[0].length]; + for (int i = 0; i < b.length; i++) { + for (int j = 0; j < b[0].length; j++) { + b[i][j] = Math.abs(a[i][j]); } } + return b; + } + public static double[] convert2DTo1D(double[][] a) { + double[] b = new double[a.length * a[0].length]; + int n = a.length; + for (int i = 0; i < a.length; i++) { + for (int j = 0; j < a[0].length; j++) { + b[i + j * n] = a[i][j]; + } + } return b; } @@ -236,9 +317,9 @@ public static double[][] convert1DTo2D(double[] a, int n) { double[][] b = new double[n][a.length / n]; for (int i = 0; i < b.length; i++) { for (int j = 0; j < b[0].length; j++) { - b[i][j] = a[i + j*n]; + b[i][j] = a[i + j * n]; } - } + } return b; } From f7fb57db2748e218ce75c5ed367db99308308bb3 Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Tue, 15 Dec 2020 13:40:51 +0000 Subject: [PATCH 002/196] Added G02AB to NcmNag --- nearest_correlation_matrices/NcmNag.java | 138 ++++++++++++++++++++--- nearest_correlation_matrices/g02aa.d | 2 +- nearest_correlation_matrices/g02ab.d | 10 ++ 3 files changed, 133 insertions(+), 17 deletions(-) create mode 100644 nearest_correlation_matrices/g02ab.d diff --git a/nearest_correlation_matrices/NcmNag.java b/nearest_correlation_matrices/NcmNag.java index 31f86f4..e29187e 100644 --- a/nearest_correlation_matrices/NcmNag.java +++ b/nearest_correlation_matrices/NcmNag.java @@ -1,4 +1,5 @@ import com.nag.routines.G02.G02AA; +import com.nag.routines.G02.G02AB; import com.nag.routines.F01.F01CK; import com.nag.routines.F08.F08NA; import com.nag.routines.F06.F06RC; @@ -12,6 +13,9 @@ public class NcmNag { public static void main(String[] args) { + // Initialize our P matrix of observations + + // Define a 2-d array and use Double.NaN to set elements as NaNs double[][] P = new double[][] { { 59.875, 42.734, 47.938, 60.359, 54.016, 69.625, 61.500, 62.125 }, { 53.188, 49.000, 39.500, Double.NaN, 34.750, Double.NaN, 83.000, 44.500 }, { 55.750, 50.000, 38.938, Double.NaN, 30.188, Double.NaN, 70.875, 29.938 }, @@ -23,12 +27,16 @@ public static void main(String[] args) { { 52.900, 52.690, 54.230, Double.NaN, 68.170, 70.600, 57.870, 88.640 }, { 57.370, 59.040, 59.870, 62.090, 61.620, 66.470, 65.370, 85.840 } }; + // Compute the approximate correlation matrix + double[][] G = cor_bar(P); System.out.println("The approximate correlation matrix"); printMatrix(G); System.out.println(); + // Compute the eigenvalues of our (indefinite) G. + F08NA f08na = new F08NA(); String jobvl = "N"; String jobvr = "N"; @@ -52,6 +60,10 @@ public static void main(String[] args) { System.out.println(); + // Nearest Correlation Matrices + + // Using G02AA to comput the nearest correlation matrix in the Frobenius norm + // Call NAG routine G02AA and print the result G02AA g02aa = new G02AA(); G1d = convert2DTo1D(G); @@ -69,7 +81,6 @@ public static void main(String[] args) { g02aa.eval(G1d, ldg, n, errtol, maxits, maxit, X1d, ldx, iter, feval, nrmgrd, ifail); double[][] X = convert1DTo2D(X1d, ldx); - iter = g02aa.getITER(); System.out.println("Nearest correlation matrix"); @@ -98,22 +109,82 @@ public static void main(String[] args) { System.out.println(); - try { - FileWriter writer = new FileWriter(new File("g02aa.d")); - writer.write(iter + "\n"); - writer.write(X.sub(G).norm2() + "\n"); - for (int i = 0; i < X.rows; i++) { - for (int j = 0; j < X.columns; j++) { - writer.write(matrixAbs(X.sub(G)).get(i, j) + " "); - } - writer.write("\n"); - } - writer.close(); + double[][] X_G = matrixSub(X, G); + F06RC f06rc = new F06RC(); + String norm = "F"; + String uplo = "U"; + n = X_G[0].length; + double[] X_G1d = convert2DTo1D(X_G); + lda = X_G.length; + work = new double[n]; + double X_G_norm = f06rc.eval(norm, uplo, n, X_G1d, lda, work); - } catch (IOException e) { - System.out.println(e.getMessage()); - e.printStackTrace(); - } + printDataToFile("g02aa.d", iter, X_G, X_G_norm); + + // Weighting rows and columns of elements + + // Use corrmat_nearest_bounded to compute the nearest correlation matrix with row and column weighting + + // Define an arrray of weights + double[] W = new double[] { 10, 10, 10, 1, 1, 1, 1, 1 }; + + // Set up and call the NAG routine using weights and a minimum eigenvalue + G02AB g02ab = new G02AB(); + G1d = convert2DTo1D(G); + ldg = G.length; + n = G[0].length; + String opt = "B"; + double alpha = 0.001; + errtol = 0.0; + maxits = 0; + maxit = 0; + ldx = n; + X1d = new double[ldx * n]; + iter = 0; + feval = 0; + nrmgrd = 0; + ifail = 0; + g02ab.eval(G1d, ldg, n, opt, alpha, W, errtol, maxits, maxit, X1d, ldx, iter, feval, nrmgrd, ifail); + + X = convert1DTo2D(X1d, ldx); + iter = g02ab.getITER(); + + System.out.println("Nearest correlation matrix using row and column weighting"); + printMatrix(X); + + System.out.println(); + + jobvl = "N"; + jobvr = "N"; + n = X[0].length; + lda = X.length; + wr = new double[n]; + wi = new double[n]; + ldvl = 1; + vl = new double[ldvl]; + ldvr = 1; + vr = new double[ldvr]; + lwork = 3 * n; + work = new double[lwork]; + info = 0; + f08na.eval(jobvl, jobvr, n, X1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, info); + + System.out.print("Sorted eigenvalues of X: "); + Arrays.sort(wr); + printVector(wr); + + System.out.println(); + + X_G = matrixSub(X, G); + norm = "F"; + uplo = "U"; + n = X_G[0].length; + X_G1d = convert2DTo1D(X_G); + lda = X_G.length; + work = new double[n]; + X_G_norm = f06rc.eval(norm, uplo, n, X_G1d, lda, work); + + printDataToFile("g02ab.d", iter, X_G, X_G_norm); } @@ -190,6 +261,26 @@ public static double[][] cor_bar(double[][] P) { return convert1DTo2D(D_, n); } + private static void printDataToFile(String fileName, int iter, double[][] X_G, double X_G_norm) { + double[][] absX_G = matrixAbs(X_G); + try { + FileWriter writer = new FileWriter(new File(fileName)); + writer.write(iter + "\n"); + writer.write(X_G_norm + "\n"); + for (int i = 0; i < X_G.length; i++) { + for (int j = 0; j < X_G[0].length; j++) { + writer.write(absX_G[i][j] + " "); + } + writer.write("\n"); + } + writer.close(); + + } catch (IOException e) { + System.out.println(e.getMessage()); + e.printStackTrace(); + } + } + public static double matrixMaskedDot(double[] a, double[] b, boolean[] mask) { if ((a.length != b.length) || (a.length != mask.length) || (b.length != mask.length)) { System.out.println("Arrays a(" + a.length + "), b(" + b.length + ") and mask(" + mask.length @@ -267,6 +358,21 @@ public static double[] vectorSubScalar(double[] a, double s) { return t; } + public static double[][] matrixSub(double[][] a, double[][] b) { + if (a.length != b.length) { + System.out.println("Arrays a(" + a.length + ") and b(" + b.length + ") need to have the same length."); + System.exit(-1); + } + + double[][] t = new double[a.length][a[0].length]; + for (int i = 0; i < t.length; i++) { + for (int j = 0; j < t[0].length; j++) { + t[i][j] = a[i][j] - b[i][j]; + } + } + return t; + } + public static boolean[] getNanMask(double[] a) { boolean[] t = new boolean[a.length]; for (int i = 0; i < t.length; i++) { diff --git a/nearest_correlation_matrices/g02aa.d b/nearest_correlation_matrices/g02aa.d index 0c6f7b6..cfc36c3 100644 --- a/nearest_correlation_matrices/g02aa.d +++ b/nearest_correlation_matrices/g02aa.d @@ -1,5 +1,5 @@ 3 -0.2959969817070776 +0.29599698170707767 0.0 0.013815700430991396 7.366710963886136E-4 0.036355403035060796 0.020347797081572264 0.018640792841438603 0.010277120331962028 0.03313079901499458 0.013815700430991396 0.0 1.836163361564891E-4 0.01707632265088571 0.009011302957805278 0.009183190094823324 0.004646613030236557 0.015279544615574847 7.366710963885859E-4 1.8361633615646133E-4 0.0 0.014293377437387234 0.022160907986847334 0.003755895897555317 0.008723271763466434 0.020341681222662555 diff --git a/nearest_correlation_matrices/g02ab.d b/nearest_correlation_matrices/g02ab.d new file mode 100644 index 0000000..8452e13 --- /dev/null +++ b/nearest_correlation_matrices/g02ab.d @@ -0,0 +1,10 @@ +4 +0.35242289412737055 +0.0 1.2127569472830668E-5 7.195785961366941E-6 0.0020380323174505888 3.353434369396486E-4 0.0014591400671755128 2.2543497516351596E-4 8.70026951811792E-4 +1.2127569472830668E-5 0.0 3.369772301364815E-6 0.0010287283953216153 2.060553508251295E-4 7.060499939423037E-4 1.297118899992733E-4 4.693987256225163E-4 +7.195785961394696E-6 3.3697723013925707E-6 0.0 3.160618061278653E-4 3.3451678969231846E-4 5.464856907405058E-4 1.323187488347921E-4 1.8281093738392595E-4 +0.0020380323174505888 0.0010287283953215876 3.1606180612789303E-4 2.220446049250313E-16 0.09562569837460166 0.10161736192678424 0.04974559326544381 0.14048758269561082 +3.353434369396495E-4 2.060553508251295E-4 3.3451678969231846E-4 0.09562569837460161 2.220446049250313E-16 0.009591829656776296 0.05135556336768282 0.11827727452119174 +0.0014591400671755128 7.060499939423037E-4 5.464856907405058E-4 0.10161736192678424 0.009591829656776296 2.220446049250313E-16 1.4712946889589712E-4 0.021750337132225628 +2.2543497516351596E-4 1.297118899992733E-4 1.323187488346811E-4 0.04974559326544381 0.05135556336768282 1.4712946889589712E-4 1.1102230246251565E-16 0.05672380746719485 +8.70026951811792E-4 4.6939872562246077E-4 1.8281093738381493E-4 0.14048758269561076 0.11827727452119163 0.021750337132225517 0.0567238074671948 2.220446049250313E-16 From 9007751d2441b7980fb39fafa139c674caa742a0 Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Tue, 15 Dec 2020 14:11:59 +0000 Subject: [PATCH 003/196] Added G02AJ to NcmNag --- nearest_correlation_matrices/NcmNag.java | 103 +++++++++++++++++++++-- nearest_correlation_matrices/g02aj.d | 10 +++ 2 files changed, 105 insertions(+), 8 deletions(-) create mode 100644 nearest_correlation_matrices/g02aj.d diff --git a/nearest_correlation_matrices/NcmNag.java b/nearest_correlation_matrices/NcmNag.java index e29187e..38fe116 100644 --- a/nearest_correlation_matrices/NcmNag.java +++ b/nearest_correlation_matrices/NcmNag.java @@ -1,5 +1,7 @@ import com.nag.routines.G02.G02AA; import com.nag.routines.G02.G02AB; +import com.nag.routines.G02.G02AJ; +import com.nag.routines.G02.G02AN; import com.nag.routines.F01.F01CK; import com.nag.routines.F08.F08NA; import com.nag.routines.F06.F06RC; @@ -62,7 +64,7 @@ public static void main(String[] args) { // Nearest Correlation Matrices - // Using G02AA to comput the nearest correlation matrix in the Frobenius norm + // Using G02AA to compute the nearest correlation matrix in the Frobenius norm // Call NAG routine G02AA and print the result G02AA g02aa = new G02AA(); @@ -123,7 +125,7 @@ public static void main(String[] args) { // Weighting rows and columns of elements - // Use corrmat_nearest_bounded to compute the nearest correlation matrix with row and column weighting + // Use G02AB to compute the nearest correlation matrix with row and column weighting // Define an arrray of weights double[] W = new double[] { 10, 10, 10, 1, 1, 1, 1, 1 }; @@ -186,6 +188,86 @@ public static void main(String[] args) { printDataToFile("g02ab.d", iter, X_G, X_G_norm); + // Weighting Individual Elements + + // Use G02AJ to compute the nearest correlation matrix with element-wise weighting + + // Set up a matrix of weights + n = P[0].length; + double[][] H = new double[n][n]; + for (int i = 0; i < n; i++) { + for (int j = 0; j < n; j++) { + if ((i < 3) && (j < 3)) { + H[i][j] = 100.0; + } else { + H[i][j] = 1; + } + } + } + printMatrix(H); + + System.out.println(); + + // Call the NAG routine specifying a minimum eigenvalue + G02AJ g02aj = new G02AJ(); + G1d = convert2DTo1D(G); + ldg = G.length; + n = G[0].length; + alpha = 0.001; + double[] H1d = convert2DTo1D(H); + int ldh = H.length; + errtol = 0; + maxit = 0; + ldx = n; + X1d = new double[ldx * n]; + iter = 0; + double norm2 = 0; + ifail = 0; + g02aj.eval(G1d, ldg, n, alpha, H1d, ldh, errtol, maxit, X1d, ldx, iter, norm2, ifail); + + X = convert1DTo2D(X1d, ldx); + iter = g02aj.getITER(); + + System.out.println("Nearest correlation matrix using element-wise weighting"); + printMatrix(X); + + System.out.println(); + + jobvl = "N"; + jobvr = "N"; + n = X[0].length; + lda = X.length; + wr = new double[n]; + wi = new double[n]; + ldvl = 1; + vl = new double[ldvl]; + ldvr = 1; + vr = new double[ldvr]; + lwork = 3 * n; + work = new double[lwork]; + info = 0; + f08na.eval(jobvl, jobvr, n, X1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, info); + + System.out.print("Sorted eigenvalues of X: "); + Arrays.sort(wr); + Arrays.sort(wi); + printComplexVector(wr, wi); + + System.out.println(); + + X_G = matrixSub(X, G); + norm = "F"; + uplo = "U"; + n = X_G[0].length; + X_G1d = convert2DTo1D(X_G); + lda = X_G.length; + work = new double[n]; + X_G_norm = f06rc.eval(norm, uplo, n, X_G1d, lda, work); + + printDataToFile("g02aj.d", iter, X_G, X_G_norm); + + + } /** @@ -261,7 +343,7 @@ public static double[][] cor_bar(double[][] P) { return convert1DTo2D(D_, n); } - private static void printDataToFile(String fileName, int iter, double[][] X_G, double X_G_norm) { + public static void printDataToFile(String fileName, int iter, double[][] X_G, double X_G_norm) { double[][] absX_G = matrixAbs(X_G); try { FileWriter writer = new FileWriter(new File(fileName)); @@ -432,7 +514,7 @@ public static double[][] convert1DTo2D(double[] a, int n) { public static void printMatrix(double[][] a) { for (int i = 0; i < a.length; i++) { for (int j = 0; j < a[0].length; j++) { - System.out.printf("%7.4f ", a[i][j]); + System.out.printf("%8.4f ", a[i][j]); } System.out.println(); } @@ -440,14 +522,19 @@ public static void printMatrix(double[][] a) { public static void printVector(double[] a) { for (int i = 0; i < a.length; i++) { - System.out.printf("%7.4f ", a[i]); + System.out.printf("%8.4f ", a[i]); } System.out.println(); } - public static void printVector(boolean[] a) { - for (int i = 0; i < a.length; i++) { - System.out.printf("%5b ", a[i]); + public static void printComplexVector(double[] r, double[] i) { + if (r.length != i.length) { + System.out.println("Arrays r(" + r.length + ") and i(" + i.length + ") need to have the same length."); + System.exit(-1); + } + + for (int j = 0; j < r.length; j++) { + System.out.printf("%8.4f%+.4fj", r[j], i[j]); } System.out.println(); } diff --git a/nearest_correlation_matrices/g02aj.d b/nearest_correlation_matrices/g02aj.d new file mode 100644 index 0000000..ecba532 --- /dev/null +++ b/nearest_correlation_matrices/g02aj.d @@ -0,0 +1,10 @@ +137 +0.29813714558068405 +0.0 5.0774791747476566E-5 2.4257860863907688E-6 0.03883768090546469 0.01913091780902494 0.02182932325873077 0.009871667427618344 0.03391663346423762 +5.0774791747476566E-5 0.0 5.503563289266378E-7 0.01871022317530996 0.008532716981371091 0.011049620489291478 0.004524701072025905 0.01598436411198806 +2.4257860864185243E-6 5.503563289543933E-7 0.0 0.013678853424153398 0.02254722256391717 0.004645537805086086 0.0088138047601527 0.020155469272188364 +0.03883768090546469 0.01871022317530993 0.01367885342415337 2.220446049250313E-16 0.09025842648427793 0.012778743855946103 0.038178346548194964 0.10114967989476942 +0.01913091780902494 0.008532716981371091 0.02254722256391717 0.09025842648427787 2.220446049250313E-16 0.008578555196780191 0.04861770043460839 0.11827887145189964 +0.02182932325873077 0.011049620489291478 0.004645537805086086 0.012778743855946104 0.008578555196780191 2.220446049250313E-16 0.0017968276748464712 0.0033987779249069483 +0.009871667427618344 0.004524701072025905 0.008813804760152588 0.038178346548194964 0.04861770043460839 0.0017968276748464712 1.1102230246251565E-16 0.04880165619041976 +0.03391663346423762 0.015984364111988003 0.020155469272188253 0.10114967989476936 0.11827887145189953 0.0033987779249068373 0.04880165619041971 2.220446049250313E-16 From 692d133932071170d0750d82ce72807222ae3446 Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Tue, 15 Dec 2020 14:20:50 +0000 Subject: [PATCH 004/196] Added G02AN to NcmNag --- nearest_correlation_matrices/NcmNag.java | 64 +++++++++++++++++++++++- nearest_correlation_matrices/g02an.d | 10 ++++ 2 files changed, 73 insertions(+), 1 deletion(-) create mode 100644 nearest_correlation_matrices/g02an.d diff --git a/nearest_correlation_matrices/NcmNag.java b/nearest_correlation_matrices/NcmNag.java index 38fe116..60ab83f 100644 --- a/nearest_correlation_matrices/NcmNag.java +++ b/nearest_correlation_matrices/NcmNag.java @@ -266,7 +266,69 @@ public static void main(String[] args) { printDataToFile("g02aj.d", iter, X_G, X_G_norm); - + // Fixing a Block of Elements + + // Use G02AN to compute the nearest correlation matrix with fixed leading block + + // Call the NAG routine fixing the top 3-by-3 block + G02AN g02an = new G02AN(); + G1d = convert2DTo1D(G); + ldg = G.length; + n = G[0].length; + int k = 3; + errtol = 0; + double eigtol = 0; + ldx = n; + X1d = new double[ldx * n]; + alpha = 0.001; + iter = 0; + double eigmin = 0; + norm2 = 0; + ifail = 0; + g02an.eval(G1d, ldg, n, k, errtol, eigtol, X1d, ldx, alpha, iter, eigmin, norm2, ifail); + + X = convert1DTo2D(X1d, ldx); + iter = g02an.getITER(); + alpha = g02an.getALPHA(); + + System.out.println("Nearest correlation matrix with fixed leading block"); + printMatrix(X); + + System.out.println(); + + jobvl = "N"; + jobvr = "N"; + n = X[0].length; + lda = X.length; + wr = new double[n]; + wi = new double[n]; + ldvl = 1; + vl = new double[ldvl]; + ldvr = 1; + vr = new double[ldvr]; + lwork = 3 * n; + work = new double[lwork]; + info = 0; + f08na.eval(jobvl, jobvr, n, X1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, info); + + System.out.print("Sorted eigenvalues of X: "); + Arrays.sort(wr); + printVector(wr); + + System.out.printf("Value of alpha returned: %.4f\n", alpha); + + System.out.println(); + + X_G = matrixSub(X, G); + norm = "F"; + uplo = "U"; + n = X_G[0].length; + X_G1d = convert2DTo1D(X_G); + lda = X_G.length; + work = new double[n]; + X_G_norm = f06rc.eval(norm, uplo, n, X_G1d, lda, work); + + printDataToFile("g02an.d", iter, X_G, X_G_norm); } diff --git a/nearest_correlation_matrices/g02an.d b/nearest_correlation_matrices/g02an.d new file mode 100644 index 0000000..264585c --- /dev/null +++ b/nearest_correlation_matrices/g02an.d @@ -0,0 +1,10 @@ +27 +0.6842232923771067 +0.0 0.0 0.0 0.11534559633486957 0.0012824395878200104 0.12238688028701034 0.014500765854245638 0.031829946184179364 +0.0 0.0 0.0 0.048787650504719254 0.08127435463151922 0.05467773570274814 0.057453523816818036 0.0849278682546235 +2.7755575615628914E-17 2.7755575615628914E-17 0.0 0.026536575688402134 0.15336648242727113 0.055367887554946565 0.12360320370123046 0.18035708804084039 +0.11534559633486957 0.04878765050471923 0.02653657568840216 2.220446049250313E-16 0.06090091010680207 0.0025226758036557776 0.1292057674820426 0.06429138896868497 +0.0012824395878200095 0.08127435463151922 0.15336648242727113 0.060900910106802014 2.220446049250313E-16 0.13321909433413714 0.06595534587259971 0.19905384725423392 +0.12238688028701034 0.05467773570274814 0.055367887554946565 0.0025226758036557793 0.13321909433413714 2.220446049250313E-16 0.009847716092804867 0.11943272126977661 +0.014500765854245638 0.057453523816818036 0.12360320370123035 0.1292057674820426 0.06595534587259971 0.009847716092804867 1.1102230246251565E-16 0.07976313672648783 +0.031829946184179364 0.08492786825462345 0.18035708804084027 0.06429138896868491 0.1990538472542338 0.1194327212697765 0.07976313672648788 2.220446049250313E-16 From c2b4daac835e06171509581077d00a6a4325365a Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Tue, 15 Dec 2020 14:23:30 +0000 Subject: [PATCH 005/196] Remvoed unneeded files for Ncm --- nearest_correlation_matrices/ncm_nag.pdf | Bin 147054 -> 0 bytes nearest_correlation_matrices/temp.ipynb | 92 ----------------------- nearest_correlation_matrices/temp.java | 25 ------ nearest_correlation_matrices/temp.txt | 1 - 4 files changed, 118 deletions(-) delete mode 100644 nearest_correlation_matrices/ncm_nag.pdf delete mode 100644 nearest_correlation_matrices/temp.ipynb delete mode 100644 nearest_correlation_matrices/temp.java delete mode 100644 nearest_correlation_matrices/temp.txt diff --git a/nearest_correlation_matrices/ncm_nag.pdf b/nearest_correlation_matrices/ncm_nag.pdf deleted file mode 100644 index 488174efc3320cc9e913fc9d6a8b57e2652d0d52..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 147054 zcma&MQ*bU!)UBIj#kOtRwr$(Coj10ftk||~uGqG1?C+d97kk&)7ynJytm?j+-Bsh6 zqX(Iys5l)HJsULH(cSeMG&2(+BcX$_H8d|TgSeHgtC=%{xUG?^nW&kGgQ*#VteL%q zt0f^57ZV3RKeUUhvzd_{wCBc%mP|aZ7;Nt&%?GDXhV*)E8KyW$B%u?ru>(NFJUlf5 zl9=M*(W$4(yVAm>;3D^XT{Z;mPQI-^uG48@(PxsOtFM zO9%?2Tk8cJ!0hkE`|F;doLe%C^81kgPO?3eoZ`y;^YixjaA=|pg#onRGFp$!Nileg zPYR7d%@E3)%SeaezkD7+&RcfKuMY?p$A3+^i7?2W%H5Y*N#8Yc&=!PJCcmNc(kKBm z)8AI!k2_0Zxq3dX1qF_Rx`}OtE-+gr4_sr(<2{`QVtB%L|1l z&1%#wgD88R6Uj*0T2X^w>*wb!%H}mtoHuS4k@DlvVN!L^D>8VdR2*)PRQY$18h5~e zj56(O+-JL}FxciGye`{p!@!T$XR^`E>xSHwn`s%~v*D_nlVQEe6lGa$j>|ocW(p0; 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"cells": [ - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "\n", - "np.set_printoptions(precision=4, suppress=True)" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [], - "source": [ - "G_X = []\n", - "with open(\"g02aa.d\", 'r') as g02aa:\n", - " lines = [line.split() for line in g02aa]\n", - " itr = int(lines[0][0])\n", - " norm = float(lines[1][0])\n", - " G_X = lines[2:]\n" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [ - { - "output_type": "display_data", - "data": { - "image/png": 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0RlWtBFYOLTtx4PUqusPaE9X9DLDfVNtypCxJUiMMZUmSGmEoS5LUCENZkqRGGMqSJDXCUJYkqRGGsiRJjTCUJUlqhKEsSVIjDGVJkhphKEuS1AhDWZKkRhjKkiQ1YlrfErU4YYcHLN1cfdH92KJkvrswYz+5/c757sKs7LzdsvnuwqzcubHmuwsztn7DXfPdhRmrhbvbFzRHypIkNcJQliSpEYayJEmNMJQlSWqEoSxJUiMMZUmSGmEoS5LUCENZkqRGGMqSJDXCUJYkqRGGsiRJjTCUJUlqhKEsSVIjDGVJkhphKEuS1AhDWZKkMZIckuTqJGuSnDDB+gOTXJpkQ5IjJli/Q5LvJnn3ZG0ZypIkjZBkMXAKcCiwHDg6yfKhYtcBxwIfGLGZNwD/MZX2DGVJkkZbAaypqmuqaj1wFnD4YIGquraqLgfuGq6c5HHAzwOfnkpjhrIkaUu2a5KLB6YXDa3fDbh+YH5tv2xSSRYB7wD+fKqdWTLVgpIktWDpssXsttsOc7Kta+Gmqtp/TJFMsKymuPmXAiur6vpkos3cm6EsSdJoa4E9BuZ3B26YYt0nAE9J8lJgO2BZktuq6l4Xi21iKEuSNNoqYN8kewPfBY4CnjuVilX1u5teJzkW2H9cIIPnlCVJGqmqNgDHA+cBVwHnVNXqJCclOQwgyQFJ1gJHAqcmWT3T9hwpS5I0RlWtBFYOLTtx4PUqusPa47ZxBnDGZG05UpYkqRGGsiRJjTCUJUlqhKEsSVIjDGVJkhphKEuS1AhDWZKkRhjKkiQ1wlCWJKkRhrIkSY0wlCVJaoShLElSIwxlSZIaYShLktQIQ1mSpEYYypIkNcJQliSpEYayJEmNMJQlSWqEoSxJUiMMZUmSGmEoS5LUCENZkqRGLJlO4XV33sWa79+2ufqyWe2y/bL57sKsLErmuwuzsuM2S+e7CzP25vOvne8uzMrLnrT3fHdhVr57y+3z3YUZO3XV9fPdhRn7/m13zHcXtkiOlCVJaoShLElSIwxlSZIaYShLktQIQ1mSpEYYypIkjZHkkCRXJ1mT5IQJ1h+Y5NIkG5IcMbD80UkuTLI6yeVJfmeytgxlSZJGSLIYOAU4FFgOHJ1k+VCx64BjgQ8MLf8Z8PyqejhwCPC3SR44rr1p3acsSdIWZgWwpqquAUhyFnA4cOWmAlV1bb/ursGKVfVfA69vSHIj8CDgR6Mac6QsSdqS7Zrk4oHpRUPrdwMGnwKztl82LUlWAMuAb40r50hZkrSgbLV0MXv9wg5zsq0L4Kaq2n9MkYkep1jTaSPJg4H3A8dU1V3jyjpSliRptLXAHgPzuwM3TLVykh2ATwB/VVVfmay8oSxJ0mirgH2T7J1kGXAUcO5UKvblPwz8U1V9cCp1DGVJkkaoqg3A8cB5wFXAOVW1OslJSQ4DSHJAkrXAkcCpSVb31X8bOBA4NslX++nR49rznLIkSWNU1Upg5dCyEwder6I7rD1c75+Bf55OW46UJUlqhKEsSVIjDGVJkhphKEuS1AhDWZKkRhjKkiQ1wlCWJKkRhrIkSY0wlCVJaoShLElSIwxlSZIaYShLktQIQ1mSpEYYypIkNcJQliSpEYayJEmNMJQlSWqEoSxJUiMMZUmSGmEoS5LUCENZkqRGGMqSJDXCUJYkqRGGsiRJjTCUJUlqhKEsSVIjDGVJkhphKEuS1AhDWZKkRhjKkiSNkeSQJFcnWZPkhAnWH5jk0iQbkhwxtO6YJN/sp2Mma8tQliRphCSLgVOAQ4HlwNFJlg8Vuw44FvjAUN2dgdcCjwdWAK9NstO49gxlSZJGWwGsqaprqmo9cBZw+GCBqrq2qi4H7hqq+yzgM1V1c1XdAnwGOGRcY0um07PFi8KO2yydTpVmbL108Xx3YVZ+cvud892FWXnz+dfOdxdm7ISD953vLszKujs3zncXZuX29Qu3/2t/+NP57sKMrd+wcPf7HNsNuH5gfi3dyHemdXcbV2FaoSxJ0nzbaski9vm5beZqc7smuXhg/rSqOm1gPhPUqSlue9p1DWVJ0pbspqraf8z6tcAeA/O7AzdMcdtrgYOG6n5+XAXPKUuSNNoqYN8keydZBhwFnDvFuucBz0yyU3+B1zP7ZSMZypIkjVBVG4Dj6cL0KuCcqlqd5KQkhwEkOSDJWuBI4NQkq/u6NwNvoAv2VcBJ/bKRPHwtSdIYVbUSWDm07MSB16voDk1PVPd04PSptuVIWZKkRhjKkiQ1wlCWJKkRhrIkSY0wlCVJaoShLElSIwxlSZIaYShLktQIQ1mSpEYYypIkNcJQliSpEYayJEmNMJQlSWqEoSxJUiMMZUmSGmEoS5LUCENZkqRGGMqSJDXCUJYkqRGGsiRJjTCUJUlqhKEsSVIjDGVJkhphKEuS1AhDWZKkRhjKkiQ1wlCWJKkRhrIkSY0wlCVJaoShLEnSGEkOSXJ1kjVJTphg/VZJzu7XX5Rkr3750iRnJrkiyVVJXjVZW4ayJEkjJFkMnAIcCiwHjk6yfKjYC4Fbqmof4GTgLf3yI4GtquqRwOOAF28K7FEMZUmSRlsBrKmqa6pqPXAWcPhQmcOBM/vXHwIOThKggG2TLAEeAKwHfjyuMUNZkqTRdgOuH5hf2y+bsExVbQBuBXahC+ifAt8DrgPeXlU3j2tsydz0WZKk+8bWSxbxKw/aZq42t2uSiwfmT6uq0wbmM0GdGpofVWYFsBH4RWAn4ItJPltV14zqjKEsSdqS3VRV+49ZvxbYY2B+d+CGEWXW9oeqdwRuBp4LfKqq7gRuTHIBsD8wMpQ9fC1J0mirgH2T7J1kGXAUcO5QmXOBY/rXRwCfq6qiO2T9tHS2BX4N+Ma4xgxlSZJG6M8RHw+cB1wFnFNVq5OclOSwvtj7gF2SrAFeAWy6beoUYDvg63Th/o9Vdfm49jx8LUnSGFW1Elg5tOzEgdfr6G5/Gq5320TLx3GkLElSIwxlSZIaYShLktQIQ1mSpEZM60KvBBYtmugeaW1uO2+3bL67MCsve9Le892FGVt358b57sKsbL108Xx3YVb2e8iO892FGfuX5z9uvrswYwf+/bbz3YUtkiNlSZIaYShLktQIQ1mSpEYYypIkNcJQliSpEYayJEmNMJQlSWqEoSxJUiMMZUmSGmEoS5LUCENZkqRGGMqSJDXCUJYkqRGGsiRJjTCUJUlqhKEsSVIjDGVJkhphKEuS1AhDWZKkRhjKkiQ1wlCWJKkRhrIkSY0wlCVJaoShLElSIwxlSZLGSHJIkquTrElywgTrt0pydr/+oiR7DazbL8mFSVYnuSLJ1uPaMpQlSRohyWLgFOBQYDlwdJLlQ8VeCNxSVfsAJwNv6esuAf4ZeElVPRw4CLhzXHuGsiRJo60A1lTVNVW1HjgLOHyozOHAmf3rDwEHJwnwTODyqvoaQFX9sKo2jmvMUJYkabTdgOsH5tf2yyYsU1UbgFuBXYCHApXkvCSXJnnlZI0tmZMuS5J0H9lq8SL22n7budrcrkkuHpg/rapOG5jPBHVqaH5UmSXAk4EDgJ8B5ye5pKrOH9UZQ1mStCW7qar2H7N+LbDHwPzuwA0jyqztzyPvCNzcL/+PqroJIMlK4LHAyFD28LUkSaOtAvZNsneSZcBRwLlDZc4FjulfHwF8rqoKOA/YL8k2fVg/FbhyXGOOlCVJGqGqNiQ5ni5gFwOnV9XqJCcBF1fVucD7gPcnWUM3Qj6qr3tLknfSBXsBK6vqE+PaM5QlSRqjqlYCK4eWnTjweh1w5Ii6/0x3W9SUePhakqRGGMqSJDXCUJYkqRGGsiRJjTCUJUlqhKEsSVIjDGVJkhphKEuS1AhDWZKkRhjKkiQ1wlCWJKkRhrIkSY0wlCVJaoShLElSI6b11Y0JbL10Yeb40sWZ7y7Myp0ba767MCvfveX2+e7CjN2+fuN8d2FW9nvIjvPdhVlJFu7/3a9ff+t8d2HGFvrf/UK1MBNWkqT7IUNZkqRGGMqSJDXCUJYkqRGGsiRJjTCUJUlqhKEsSVIjDGVJkhphKEuS1AhDWZKkRhjKkiQ1wlCWJKkRhrIkSY0wlCVJaoShLEnSGEkOSXJ1kjVJTphg/VZJzu7XX5Rkr6H1D0lyW5I/m6wtQ1mSpBGSLAZOAQ4FlgNHJ1k+VOyFwC1VtQ9wMvCWofUnA5+cSnuGsiRJo60A1lTVNVW1HjgLOHyozOHAmf3rDwEHJwlAkucA1wCrp9KYoSxJ0mi7AdcPzK/tl01Ypqo2ALcCuyTZFvgL4PVTbWzJrLoqSdJ9bPGisMv2y+Zqc7smuXhg/rSqOm1gPhPUqaH5UWVeD5xcVbf1A+dJGcqSpC3ZTVW1/5j1a4E9BuZ3B24YUWZtkiXAjsDNwOOBI5K8FXggcFeSdVX17lGNGcqSJI22Ctg3yd7Ad4GjgOcOlTkXOAa4EDgC+FxVFfCUTQWSvA64bVwgg6EsSdJIVbUhyfHAecBi4PSqWp3kJODiqjoXeB/w/iRr6EbIR820PUNZkqQxqmolsHJo2YkDr9cBR06yjddNpS2vvpYkqRGGsiRJjTCUJUlqhKEsSVIjDGVJkhphKEuS1AhDWZKkRhjKkiQ1wlCWJKkRhrIkSY0wlCVJaoShLElSIwxlSZIaYShLktQIQ1mSpEYYypIkNcJQliSpEYayJEmNMJQlSWqEoSxJUiMMZUmSGmEoS5LUCENZkqRGLJlO4Q0bixtvvWNz9WWz2nm7ZfPdhVlZv+Gu+e7CrJy66vr57sKMrf3hT+e7C7PyL89/3Hx3YVa+fv2t892FGXv0Xg+c7y7M2DbLFs93F7ZIjpQlSWqEoSxJUiMMZUmSGmEoS5LUCENZkqRGGMqSJI2R5JAkVydZk+SECdZvleTsfv1FSfbqlz8jySVJruj/fdpkbRnKkiSNkGQxcApwKLAcODrJ8qFiLwRuqap9gJOBt/TLbwJ+o6oeCRwDvH+y9gxlSZJGWwGsqaprqmo9cBZw+FCZw4Ez+9cfAg5Okqq6rKpu6JevBrZOstW4xgxlSZJG2w0YfPrR2n7ZhGWqagNwK7DLUJnfAi6rqrFP4JrWE70kSZpvSxcv4kHbjx1wTseuSS4emD+tqk4bmM8EdWpofmyZJA+nO6T9zMk6YyhLkrZkN1XV/mPWrwX2GJjfHbhhRJm1SZYAOwI3AyTZHfgw8Pyq+tZknfHwtSRJo60C9k2yd5JlwFHAuUNlzqW7kAvgCOBzVVVJHgh8AnhVVV0wlcYMZUmSRujPER8PnAdcBZxTVauTnJTksL7Y+4BdkqwBXgFsum3qeGAf4DVJvtpPPzeuPQ9fS5I0RlWtBFYOLTtx4PU64MgJ6r0ReON02nKkLElSIwxlSZIaYShLktQIQ1mSpEYYypIkNcJQliSpEYayJEmNMJQlSWqEoSxJUiMMZUmSGmEoS5LUCENZkqRGGMqSJDXCUJYkqRGGsiRJjTCUJUlqhKEsSVIjDGVJkhphKEuS1AhDWZKkRhjKkiQ1wlCWJKkRhrIkSY0wlCVJaoShLElSIwxlSZIaYShLktQIQ1mSpEYYypIkNcJQliRpjCSHJLk6yZokJ0ywfqskZ/frL0qy18C6V/XLr07yrMnaMpQlSRohyWLgFOBQYDlwdJLlQ8VeCNxSVfsAJwNv6esuB44CHg4cAryn395IhrIkSaOtANZU1TVVtR44Czh8qMzhwJn96w8BBydJv/ysqrqjqr4NrOm3N5KhLEnSaLsB1w/Mr+2XTVimqjYAtwK7TLHuPSyZTs9WX37ZTct32+4706kjaX5t/6L57oEWqD3nuwOjfPWyS87bedslu87R5rZOcvHA/GlVddrAfCaoU0Pzo8pMpe49TCuUq+pB0ykvSdJcq6pD7sPm1gJ7DMzvDtwwoszaJEuAHYGbp1j3Hjx8LUnSaKuAfZPsnWQZ3YVb5w6VORc4pn99BPC5qqp++VH91dl7A/sC/zmusWmNlCVJ2pJU1YYkxwPnAYuB06tqdZKTgIur6lzgfcD7k6yhGyEf1dddneQc4EpgA3BcVW0c1166MJckSfPNw9eSJDXCUBZJzkjy8fnux+aQ5KAk1062rEULue+SZsZQvg8Nh1+Szyd5933Y/qj2Xg48775KaFq6AAAIk0lEQVTqx1QkOS7J5Ul+3E8XJnn2fdDuw/rf0/VJ1vf/firJb032JJ5ptpMkX0/yjqHlT05ye5IXz1Vbs5XkpUm+nWRdkkuSPGWS8q9Ksqr/vf0gyceSPGKozPZJ/jbJd/qf98tJDphgWw9Ocma/nXVJrkzy1Nn0T2qZoXw/0F8ROGNVdWtV/Wiu+jNH1gJ/ATwW2B/4HPCRJPttrgaTPAe4DNgKeD7dlZJH0F1B+df98jnRX5n518BLkuzat/8rwEeBd1bVqXPV1mwk+R3gXcDfAI8Bvgx8MslDxlQ7CHgP8ETgaXQXuHw2yc4DZf4P8Cy6K1YfCXy6L/P/HqyQ5IHABXT3ej4beBjwMuDGWfZPaldVOd1HE3AG8PGB1zU07UX3BvRK4FvA7cAVwPOGtvN54L3A24Ef0F2yfwjwReAWuqv/zgMeNtT2vdqboF9bAX8L/DewDvgK8OQJ2n8P3RvhTXRvkm8HFg2UObCvexvd020uAh4xy/13M/DiadY5CLh2CsseBawH/nLEdrIZ/h4WAf/V78efB64B3s/dF2BOqe+b+W/2IuAfhpZ9E3jTNLaxHbAR+I1+/gF0QX34ULlLgDcOzP8NcMHm7p+TU0uTI+X583LgQuAfgQf30/XAG+kebn4c3cPP3wScOsGh2+fRBfhT6EZ129KF6Qq6N+5bgY8NjKJHtTfsrcDvAL9HN/K4AvhUkgcPlftdujfWJwLHA3/c16O/ef6jwJfowu7xdKOZjf36Y5PU4DepjJNkcZKj6N7cvzyVOjPwLrqAfNNEK6tqzm9TqKq76ILnOGAlcC3wws3RVpJXJ7ltkukpQ3WWAY+jG8UO+jTd732qtqf7AHJLP7+E7taSdUPlbgeePDD/HOCi/tt3bkzy1STH988Unsv+Sc3wPuV5UlW3JlkP/Kyqvg+QZFvgFcAzq+qLfdFvJ1lB98b9iYFNfLuq/nRg/qrB7Sd5AfBjupD+0kTtDevb/0Pg96vqE/2yl9AdgjwO+KuB4ldW1Yn96/9K8gfAwcD/BXYAHgh8rKq+1Zf5xkDdW4GrgTtH7yFI8ki6DxJb0424f7OqrhhXZyaS7Ak8FTi2D0qSLAK+R/dhB+Bfq+qYEZuYjbOA/033BKCnVffA+2lJ8nLgz+mOWgB8pqr+fKjY3wPnTLKp7w7N70oXnv89tPy/gadPo4vvAr5K97ukqn6S5ELgr5J8Hfg+cDTwBLoH9m/yS8BL6b51583Ao+n2FcC757B/UjMM5bYspwugTyUZHC0tpRtFDbpkcCbJLwNvoBuVPohuZLIImM65tV/u27pg04Kq2ti/gQ5/VdnlQ/M3AD/X17k5yRnAeUnOB84HPlhVmx7Y/mHgw1Poz9V0b8QPBH4LODPJQVX19Wn8TFPxyP7fi4aWP6n/98t9X+4hyRuBv5xk2/9fVX1+zPq/o/t/uDOTPBN3jEcAf1xVHxpVoKpupjv8PxMTPed3Sn1N8k660e+T654PTfhfwOl01w5sBC6l+0D32IEyi+gezvCqfv6yJPvSfUAcvGBxxv2TWuPh67Zs+n38Bl0YbZoeDjxzqOxPh+Y/RhfGL6YL5sfQHV6ezkVgmx6ePtEb2vCy4VFuMfD3VFUv6PvxBeAwutH0pF/wfY8NVq2vqjVVtemN+avAn0xnG1O0ff/vhoG276qqNXSjzwcBX5ug3t/SXXw0bhr5SL0kr6W7kOyJdL/P42bY/0dy7w9Jw21N+/A13c++EfiFoeU/x71HpxO1eTLdCPhpVXXN4Lqq+lZVPZXulMQeVbWC7gPhtweKfY/uSUiDruLuD5qz6p/UIkfK82s93eG3Ta4E7gD2rKrPTXUjSXahC4Djqurf+2WP5d6/3+H2hq3pyzyZ7qKjTV/w/QTgA1PtzyZV9TW6MHtLkk/SXWl73nS3M2ARc3gF9IBNI+8nc8/Dp3D3KPpeoVxVN3H3IeNpSfJC4AS6UxWXJXkr8Jok76qqn01jOwF+Bfhgf3RldVX97gRFp334uqrWJ7kEeAbwwYFVzwD+dZJ+vYvuUYMHVdU3RpWrqp8CP02yE93V2K8cWH0B3c826KHAd2bbP6lVhvL8uhZY0V/wdBvd4cW3A2/v32y/QDeS+DXgrrrn14kNuoUuHP4gyfV039f5NgZGfqPa23QOFbo3yCTvBd6c5Ca6Ucuf0F0Z/J6p/lDpHrz+Yrpbib5Ld25wP7orxknym3QXVB1cVcPnMTdt481059CvpxvJPpfuArY5v1e5qq5I8lHgHf3FQ1+gG/nvR3eO/8aqWjtX7SX5dbr9+byBawf+AXg13X47eRqb24vuC9jvdY/voFkcvn4n3TN9/5MuJF8C/CJdyAOQ7rnAx1fVr/bzp9Adnn4OcEuSTSPZ26rqtr7Ms+g+ZH0D2Ifu7/VqugsRNzkZ+HKSvwTOpjv680d0+2nK/ZMWlPm+/HtLmhi49aiffyjdxS8/4563RL2Mu0fNPwA+AzxjoN7ngXcPbftpdCO+df2/z6IL3mPHtTfcL+55S9QdjL4larj9wW38PPBvdIF8B3Ad3VXdS/v1xw62P2ZffaevfyPwWeBZQ2Wmsp2DmNotUcvoRmmX9/vnx3SHnv8M2GkO/wYO6H8vfzLBuj/t99lWU+073amOMzfz3+1L6T7Q3UF3LcOBQ+tfR3+Bej8/fOvdpul1A2V+m+62vzvoDlO/G9hxgrafTXeUYh3d1fF/xNDtaZP1z8lpIU1+IYUWrCSvpzsn+6iqGj4qsKnMQcAZVbXXuGUtmkrfk7wa2FhVb5mHLkqaY17opYXs1+kOm04YyFuIR3Dvi6EkLVCeU9aCVZOcR90SVNVz57sPkuaOI2Xd311Ld458smUtupaF23dJM+A5ZUmSGuFIWZKkRhjKkiQ1wlCWJKkRhrIkSY0wlCVJaoShLElSIwxlSZIa8f8D1EH4kNg2KHsAAAAASUVORK5CYII=\n", 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", - "image/svg+xml": "\n\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n" - }, - "metadata": {} - } - ], - "source": [ - "fig1, ax1 = plt.subplots(figsize=(14, 7))\n", - "cax1 = ax1.imshow(np.array(G_X, dtype=np.float32), interpolation='none', cmap=plt.cm.Blues,\n", - " vmin=0, vmax=0.2)\n", - "cbar = fig1.colorbar(cax1, ticks = np.linspace(0.0, 0.2, 11, endpoint=True), \n", - " boundaries=np.linspace(0.0, 0.2, 11, endpoint=True))\n", - "cbar.mappable.set_clim([0, 0.2])\n", - "ax1.tick_params(axis='both', which='both', \n", - " bottom='off', top='off', left='off', right='off', \n", - " labelbottom='off', labelleft='off')\n", - "ax1.set_title(r'$|G-X|$ for corrmat_nearest', fontsize=16)\n", - "plt.xlabel(\n", - " r'Iterations: {0}, $||G-X||_F = {1:.4f}$'.format(itr, norm),\n", - " fontsize=14,\n", - ")\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ] -} \ No newline at end of file diff --git a/nearest_correlation_matrices/temp.java b/nearest_correlation_matrices/temp.java deleted file mode 100644 index 3b0a2d8..0000000 --- a/nearest_correlation_matrices/temp.java +++ /dev/null @@ -1,25 +0,0 @@ -import org.jblas.DoubleMatrix; - -public class temp { - public static void main(String[] args) { - DoubleMatrix P = new DoubleMatrix( - new double[][] { { 59.875, 42.734, 47.938, 60.359, 54.016, 69.625, 61.500, 62.125 }, - { 53.188, 49.000, 39.500, Double.NaN, 34.750, Double.NaN, 83.000, 44.500 }, - { 55.750, 50.000, 38.938, Double.NaN, 30.188, Double.NaN, 70.875, 29.938 }, - { 65.500, 51.063, 45.563, 69.313, 48.250, 62.375, 85.250, Double.NaN }, - { 69.938, 47.000, 52.313, 71.016, Double.NaN, 59.359, 61.188, 48.219 }, - { 61.500, 44.188, 53.438, 57.000, 35.313, 55.813, 51.500, 62.188 }, - { 59.230, 48.210, 62.190, 61.390, 54.310, 70.170, 61.750, 91.080 }, - { 61.230, 48.700, 60.300, 68.580, 61.250, 70.340, Double.NaN, Double.NaN }, - { 52.900, 52.690, 54.230, Double.NaN, 68.170, 70.600, 57.870, 88.640 }, - { 57.370, 59.040, 59.870, 62.090, 61.620, 66.470, 65.370, 85.840 } }); - - //P.print(); - - DoubleMatrix x = new DoubleMatrix(new double[][]{{1d, 2d, 3d}, {4d, 5d, 6d}, {7d, 8d, 9d}}); - - //System.out.println(x.toString().replace(';', '\n')); - x.diag().div(1).print(); - x.diag().rdiv(1).print(); - } -} diff --git a/nearest_correlation_matrices/temp.txt b/nearest_correlation_matrices/temp.txt deleted file mode 100644 index 12d12c0..0000000 --- a/nearest_correlation_matrices/temp.txt +++ /dev/null @@ -1 +0,0 @@ -[59.875000, 42.734000, 47.938000, 60.359000, 54.016000, 69.625000, 61.500000, 62.125000; 53.188000, 49.000000, 39.500000, NaN, 34.750000, NaN, 83.000000, 44.500000; 55.750000, 50.000000, 38.938000, NaN, 30.188000, NaN, 70.875000, 29.938000; 65.500000, 51.063000, 45.563000, 69.313000, 48.250000, 62.375000, 85.250000, NaN; 69.938000, 47.000000, 52.313000, 71.016000, NaN, 59.359000, 61.188000, 48.219000; 61.500000, 44.188000, 53.438000, 57.000000, 35.313000, 55.813000, 51.500000, 62.188000; 59.230000, 48.210000, 62.190000, 61.390000, 54.310000, 70.170000, 61.750000, 91.080000; 61.230000, 48.700000, 60.300000, 68.580000, 61.250000, 70.340000, NaN, NaN; 52.900000, 52.690000, 54.230000, NaN, 68.170000, 70.600000, 57.870000, 88.640000; 57.370000, 59.040000, 59.870000, 62.090000, 61.620000, 66.470000, 65.370000, 85.840000] From a1caadc00586ff8895e0260237811820f28d8c70 Mon Sep 17 00:00:00 2001 From: "U-NAGNTD\\christos.efstathiou" Date: Tue, 15 Dec 2020 21:42:23 +0200 Subject: [PATCH 006/196] Updated gitignore --- .gitignore | 2 ++ nearest_correlation_matrices/ncm_nag.ipynb | 33 +++++++++++++++++----- 2 files changed, 28 insertions(+), 7 deletions(-) diff --git a/.gitignore b/.gitignore index 9af7884..17c8d35 100644 --- a/.gitignore +++ b/.gitignore @@ -1 +1,3 @@ .class +myvenv +.ipynb_checkpoints diff --git a/nearest_correlation_matrices/ncm_nag.ipynb b/nearest_correlation_matrices/ncm_nag.ipynb index 9797e34..203d782 100644 --- a/nearest_correlation_matrices/ncm_nag.ipynb +++ b/nearest_correlation_matrices/ncm_nag.ipynb @@ -266,7 +266,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 29, "metadata": { "nbpresent": { "id": "af5081b7-3d9a-47f5-8dc1-69fcc57821c0" @@ -291,7 +291,7 @@ " # Apply the mask to xi\n", " xim = np.ma.masked_array(xi, mask=notp)\n", " # Apply the mask to xj\n", - " xjm = np.ma.masked_array(xj, mask=notp) \n", + " xjm = np.ma.masked_array(xj, mask=notp)\n", " S[i, j] = np.ma.dot(xim - np.mean(xim), xjm - np.mean(xjm))\n", " # Take the sum over ~notp to normalize\n", " S[i, j] = 1.0 / (sum(~notp) - 1) * S[i, j]\n", @@ -301,7 +301,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 30, "metadata": { "nbpresent": { "id": "80b820b1-7c3b-4c96-a4a6-09b5ef00dacb" @@ -312,8 +312,8 @@ "def cor_bar(P):\n", " \"\"\"Returns an approximate sample correlation matrix\"\"\"\n", " S = cov_bar(P)\n", - " D = np.diag(1.0 / np.sqrt(np.diag(S)))\n", - " return D @ S @ D \n" + " D = np.diag(1.0 / np.sqrt(np.diag(S)))xi\n", + " return D @ S @ D " ] }, { @@ -329,7 +329,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 31, "metadata": { "nbpresent": { "id": "f417663e-badf-45d3-8f98-0647907657de" @@ -372,7 +372,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 35, "metadata": { "nbpresent": { "id": "b1c83af0-e6ca-42cc-a0ca-50276ebe4f67" @@ -1118,6 +1118,25 @@ "\n", "**https://www.nag.com/nag-library-python ** \n" ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "``` java\n", + "public class Hello {\n", + " public static void main(String[] args) {\n", + " }\n", + "}\n", + "```" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { From 90d5760640609a1708df9a601387c416ed4cbe94 Mon Sep 17 00:00:00 2001 From: "U-NAGNTD\\christos.efstathiou" Date: Wed, 16 Dec 2020 16:31:31 +0200 Subject: [PATCH 007/196] Added G02AA to jupyter notebook --- nearest_correlation_matrices/G.d | 8 + nearest_correlation_matrices/G_eigen.d | 1 + nearest_correlation_matrices/NcmNag.java | 44 ++- nearest_correlation_matrices/X_G02AA.d | 8 + nearest_correlation_matrices/X_eigen_G02AA.d | 1 + nearest_correlation_matrices/g02aa.d | 16 +- nearest_correlation_matrices/g02ab.d | 18 +- nearest_correlation_matrices/g02aj.d | 18 +- nearest_correlation_matrices/ncm_nag.ipynb | 295 ++++++++++++++----- 9 files changed, 307 insertions(+), 102 deletions(-) create mode 100755 nearest_correlation_matrices/G.d create mode 100755 nearest_correlation_matrices/G_eigen.d create mode 100755 nearest_correlation_matrices/X_G02AA.d create mode 100755 nearest_correlation_matrices/X_eigen_G02AA.d diff --git a/nearest_correlation_matrices/G.d b/nearest_correlation_matrices/G.d new file mode 100755 index 0000000..5d286c9 --- /dev/null +++ b/nearest_correlation_matrices/G.d @@ -0,0 +1,8 @@ +1.0 -0.3250029917945835 0.18814425997629136 0.5759508639629596 0.00640355776080848 -0.6111098444919633 -0.07240613328341335 -0.15893528307270638 +-0.3250029917945835 1.0 0.20484152654833515 0.24360955555978517 0.40582420357130317 0.273020298287851 0.2868805375451461 0.4240671568750279 +0.1881442599762914 0.20484152654833518 1.0 -0.1325040936108396 0.7657991363667153 0.27646640778981524 -0.617183266829168 0.9005703206682636 +0.5759508639629596 0.24360955555978514 -0.13250409361083962 0.9999999999999998 0.30409424292463905 0.012596382998409861 0.645158339588759 -0.32102379456595537 +0.006403557760808479 0.40582420357130317 0.7657991363667153 0.304094242924639 1.0000000000000002 0.6651979348683132 -0.3293323685112022 0.9939281510877161 +-0.6111098444919633 0.273020298287851 0.27646640778981524 0.012596382998409863 0.6651979348683132 0.9999999999999998 0.049172233461315856 0.5963589524568644 +-0.07240613328341335 0.2868805375451461 -0.6171832668291679 0.645158339588759 -0.3293323685112022 0.049172233461315856 0.9999999999999999 -0.39827829557224775 +-0.15893528307270638 0.42406715687502783 0.9005703206682635 -0.3210237945659553 0.993928151087716 0.5963589524568643 -0.3982782955722478 1.0000000000000002 diff --git a/nearest_correlation_matrices/G_eigen.d b/nearest_correlation_matrices/G_eigen.d new file mode 100755 index 0000000..ffbb905 --- /dev/null +++ b/nearest_correlation_matrices/G_eigen.d @@ -0,0 +1 @@ +-0.24977745860993417 -0.015972279592768625 0.08945238623840102 0.2191673628508196 0.7072035937038217 1.7533864538965915 1.9610814370428227 3.53545850447024 diff --git a/nearest_correlation_matrices/NcmNag.java b/nearest_correlation_matrices/NcmNag.java index 60ab83f..9178664 100644 --- a/nearest_correlation_matrices/NcmNag.java +++ b/nearest_correlation_matrices/NcmNag.java @@ -34,6 +34,7 @@ public static void main(String[] args) { double[][] G = cor_bar(P); System.out.println("The approximate correlation matrix"); printMatrix(G); + printMatrixToFile(G, "G.d"); System.out.println(); @@ -55,10 +56,11 @@ public static void main(String[] args) { double[] work = new double[lwork]; int info = 0; f08na.eval(jobvl, jobvr, n, G1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, info); + Arrays.sort(wr); System.out.print("Sorted eigenvalues of G: "); - Arrays.sort(wr); printVector(wr); + printVectorToFile(wr, "G_eigen.d"); System.out.println(); @@ -87,6 +89,7 @@ public static void main(String[] args) { System.out.println("Nearest correlation matrix"); printMatrix(X); + printMatrixToFile(X, "X_G02AA.d"); System.out.println(); @@ -104,10 +107,11 @@ public static void main(String[] args) { work = new double[lwork]; info = 0; f08na.eval(jobvl, jobvr, n, X1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, info); + Arrays.sort(wr); System.out.print("Sorted eigenvalues of X: "); - Arrays.sort(wr); printVector(wr); + printVectorToFile(wr, "X_eigen_G02AA.d"); System.out.println(); @@ -339,7 +343,6 @@ public static void main(String[] args) { * @return */ public static double[][] cov_bar(double[][] P) { - double[] xi, xj; boolean[] xib, xjb, notp; int n = P[0].length; @@ -349,6 +352,7 @@ public static double[][] cov_bar(double[][] P) { for (int i = 0; i < n; i++) { // Take the ith column xi = getMatrixColumn(P, i); + for (int j = 0; j < i + 1; j++) { // Take the jth column, where j <= i xj = getMatrixColumn(P, j); @@ -359,6 +363,7 @@ public static double[][] cov_bar(double[][] P) { notp = addBoolArrOr(xib, xjb); + // S[i][j] = (xi - mean(xi)) * (xj - mean(xj)) S[i][j] = matrixMaskedDot(vectorSubScalar(xi, vectorMaskedMean(xi, notp)), vectorSubScalar(xj, vectorMaskedMean(xj, notp)), notp); @@ -384,8 +389,10 @@ public static double[][] cov_bar(double[][] P) { public static double[][] cor_bar(double[][] P) { double[][] S, D; S = cov_bar(P); + // D = 1.0 / SQRT(S) D = getMatrixFromDiag(vectorRightDiv(vectorSqrt(getMatrixDiag(S)), 1.0)); + // S_ = S * D F01CK f01ck = new F01CK(); double[] S_ = new double[S.length * S[0].length]; double[] S1d = convert2DTo1D(S); @@ -399,6 +406,7 @@ public static double[][] cor_bar(double[][] P) { int ifail = 0; f01ck.eval(S_, S1d, D1d, n, p, m, z, iz, opt, ifail); + // D_ = D * S_ double[] D_ = new double[n * n]; f01ck.eval(D_, D1d, S_, n, p, m, z, iz, opt, ifail); @@ -582,6 +590,36 @@ public static void printMatrix(double[][] a) { } } + public static void printMatrixToFile(double[][] a, String fileName) { + try { + FileWriter writer = new FileWriter(new File(fileName)); + for (int i = 0; i < a.length; i++) { + for (int j = 0; j < a[0].length; j++) { + writer.write(a[i][j] + " "); + } + writer.write("\n"); + } + writer.close(); + } catch (IOException e) { + System.out.println(e.getMessage()); + e.printStackTrace(); + } + } + + public static void printVectorToFile(double[] a, String fileName) { + try { + FileWriter writer = new FileWriter(new File(fileName)); + for (int i = 0; i < a.length; i++) { + writer.write(a[i] + " "); + } + writer.write("\n"); + writer.close(); + } catch (IOException e) { + System.out.println(e.getMessage()); + e.printStackTrace(); + } + } + public static void printVector(double[] a) { for (int i = 0; i < a.length; i++) { System.out.printf("%8.4f ", a[i]); diff --git a/nearest_correlation_matrices/X_G02AA.d b/nearest_correlation_matrices/X_G02AA.d new file mode 100755 index 0000000..9d5299b --- /dev/null +++ b/nearest_correlation_matrices/X_G02AA.d @@ -0,0 +1,8 @@ +1.0 -0.3111872913635921 0.18888093107267998 0.5395954609278987 0.02675135484238073 -0.5924690516505247 -0.06212901295145131 -0.19206608208770093 +-0.3111872913635921 1.0 0.20502514288449164 0.22653323290889946 0.41483550652910844 0.28220348838267434 0.2915271505753827 0.40878761225945304 +0.18888093107267998 0.20502514288449164 1.0 -0.14679747104822682 0.7879600443535626 0.2727105118922599 -0.6084599950657016 0.880228639445601 +0.5395954609278987 0.22653323290889946 -0.14679747104822682 1.0 0.21370691586815335 0.0014877170535466597 0.606865984410564 -0.22076449149682695 +0.02675135484238073 0.41483550652910844 0.7879600443535626 0.21370691586815335 1.0 0.658027173714172 -0.2811733178595378 0.8762364775845148 +-0.5924690516505247 0.28220348838267434 0.2727105118922599 0.0014877170535466597 0.658027173714172 1.0 0.047885300489080775 0.593152378069519 +-0.06212901295145131 0.2915271505753827 -0.6084599950657016 0.606865984410564 -0.2811733178595378 0.047885300489080775 1.0 -0.446982409442484 +-0.19206608208770093 0.40878761225945304 0.880228639445601 -0.22076449149682695 0.8762364775845148 0.593152378069519 -0.446982409442484 1.0 diff --git a/nearest_correlation_matrices/X_eigen_G02AA.d b/nearest_correlation_matrices/X_eigen_G02AA.d new file mode 100755 index 0000000..2824faf --- /dev/null +++ b/nearest_correlation_matrices/X_eigen_G02AA.d @@ -0,0 +1 @@ +-6.173883426196985E-17 2.550377090501583E-17 0.038046493282210325 0.17308760612514437 0.6893558332540384 1.7117146722540244 1.9217270612302262 3.4660683338543565 diff --git a/nearest_correlation_matrices/g02aa.d b/nearest_correlation_matrices/g02aa.d index cfc36c3..55ed396 100644 --- a/nearest_correlation_matrices/g02aa.d +++ b/nearest_correlation_matrices/g02aa.d @@ -1,10 +1,10 @@ 3 -0.29599698170707767 -0.0 0.013815700430991396 7.366710963886136E-4 0.036355403035060796 0.020347797081572264 0.018640792841438603 0.010277120331962028 0.03313079901499458 -0.013815700430991396 0.0 1.836163361564891E-4 0.01707632265088571 0.009011302957805278 0.009183190094823324 0.004646613030236557 0.015279544615574847 +0.2959969817070778 +0.0 0.013815700430991396 7.366710963886136E-4 0.03635540303506091 0.02034779708157225 0.018640792841438603 0.010277120331962035 0.03313079901499455 +0.013815700430991396 0.0 1.836163361564891E-4 0.01707632265088571 0.009011302957805278 0.009183190094823324 0.004646613030236613 0.015279544615574847 7.366710963885859E-4 1.8361633615646133E-4 0.0 0.014293377437387234 0.022160907986847334 0.003755895897555317 0.008723271763466434 0.020341681222662555 -0.036355403035060796 0.017076322650885684 0.014293377437387206 2.220446049250313E-16 0.09038732705648564 0.01110866594486322 0.03829235517819496 0.10025930306912842 -0.020347797081572264 0.009011302957805278 0.022160907986847334 0.09038732705648558 2.220446049250313E-16 0.007170761154141281 0.048159050651664315 0.11769167350320131 -0.018640792841438603 0.009183190094823324 0.003755895897555317 0.011108665944863223 0.007170761154141281 2.220446049250313E-16 0.0012869329722350817 0.0032065743873453956 -0.010277120331962028 0.004646613030236557 0.008723271763466323 0.03829235517819496 0.048159050651664315 0.0012869329722350817 1.1102230246251565E-16 0.048704113870236265 -0.03313079901499458 0.015279544615574792 0.020341681222662444 0.10025930306912836 0.1176916735032012 0.0032065743873452845 0.04870411387023621 2.220446049250313E-16 +0.03635540303506091 0.017076322650885684 0.014293377437387206 2.220446049250313E-16 0.0903873270564857 0.011108665944863202 0.03829235517819496 0.10025930306912842 +0.02034779708157225 0.009011302957805278 0.022160907986847334 0.09038732705648564 2.220446049250313E-16 0.007170761154141281 0.04815905065166437 0.11769167350320131 +0.018640792841438603 0.009183190094823324 0.003755895897555317 0.011108665944863204 0.007170761154141281 2.220446049250313E-16 0.0012869329722350817 0.0032065743873453956 +0.010277120331962035 0.004646613030236613 0.008723271763466323 0.03829235517819496 0.04815905065166437 0.0012869329722350817 1.1102230246251565E-16 0.048704113870236265 +0.03313079901499455 0.015279544615574792 0.020341681222662444 0.10025930306912836 0.1176916735032012 0.0032065743873452845 0.04870411387023621 2.220446049250313E-16 diff --git a/nearest_correlation_matrices/g02ab.d b/nearest_correlation_matrices/g02ab.d index 8452e13..85f882b 100644 --- a/nearest_correlation_matrices/g02ab.d +++ b/nearest_correlation_matrices/g02ab.d @@ -1,10 +1,10 @@ 4 -0.35242289412737055 -0.0 1.2127569472830668E-5 7.195785961366941E-6 0.0020380323174505888 3.353434369396486E-4 0.0014591400671755128 2.2543497516351596E-4 8.70026951811792E-4 -1.2127569472830668E-5 0.0 3.369772301364815E-6 0.0010287283953216153 2.060553508251295E-4 7.060499939423037E-4 1.297118899992733E-4 4.693987256225163E-4 -7.195785961394696E-6 3.3697723013925707E-6 0.0 3.160618061278653E-4 3.3451678969231846E-4 5.464856907405058E-4 1.323187488347921E-4 1.8281093738392595E-4 -0.0020380323174505888 0.0010287283953215876 3.1606180612789303E-4 2.220446049250313E-16 0.09562569837460166 0.10161736192678424 0.04974559326544381 0.14048758269561082 -3.353434369396495E-4 2.060553508251295E-4 3.3451678969231846E-4 0.09562569837460161 2.220446049250313E-16 0.009591829656776296 0.05135556336768282 0.11827727452119174 -0.0014591400671755128 7.060499939423037E-4 5.464856907405058E-4 0.10161736192678424 0.009591829656776296 2.220446049250313E-16 1.4712946889589712E-4 0.021750337132225628 -2.2543497516351596E-4 1.297118899992733E-4 1.323187488346811E-4 0.04974559326544381 0.05135556336768282 1.4712946889589712E-4 1.1102230246251565E-16 0.05672380746719485 -8.70026951811792E-4 4.6939872562246077E-4 1.8281093738381493E-4 0.14048758269561076 0.11827727452119163 0.021750337132225517 0.0567238074671948 2.220446049250313E-16 +0.3524228941273674 +0.0 1.2127569472830668E-5 7.195785961727763E-6 0.002038032317451921 3.353434369406643E-4 0.001459140067176179 2.2543497516450128E-4 8.700269518134296E-4 +1.2127569472830668E-5 0.0 3.3697723013370595E-6 0.0010287283953215043 2.0605535082529602E-4 7.060499939418041E-4 1.2971188999805205E-4 4.693987256226828E-4 +7.195785961755519E-6 3.369772301364815E-6 0.0 3.1606180612731016E-4 3.3451678969276255E-4 5.464856907395066E-4 1.3231874883401495E-4 1.8281093738581333E-4 +0.002038032317451921 0.0010287283953214765 3.160618061273379E-4 2.220446049250313E-16 0.09562569837460122 0.10161736192678256 0.0497455932654437 0.14048758269560868 +3.3534343694066517E-4 2.0605535082529602E-4 3.3451678969276255E-4 0.09562569837460116 2.220446049250313E-16 0.009591829656777184 0.05135556336768127 0.11827727452119219 +0.001459140067176179 7.060499939418041E-4 5.464856907395066E-4 0.10161736192678256 0.009591829656777184 2.220446049250313E-16 1.4712946889805512E-4 0.021750337132225628 +2.2543497516450128E-4 1.2971188999805205E-4 1.3231874883390393E-4 0.0497455932654437 0.05135556336768127 1.4712946889805512E-4 1.1102230246251565E-16 0.05672380746719463 +8.700269518134296E-4 4.693987256226273E-4 1.828109373857023E-4 0.14048758269560863 0.11827727452119208 0.021750337132225517 0.056723807467194576 2.220446049250313E-16 diff --git a/nearest_correlation_matrices/g02aj.d b/nearest_correlation_matrices/g02aj.d index ecba532..ee927b2 100644 --- a/nearest_correlation_matrices/g02aj.d +++ b/nearest_correlation_matrices/g02aj.d @@ -1,10 +1,10 @@ 137 -0.29813714558068405 -0.0 5.0774791747476566E-5 2.4257860863907688E-6 0.03883768090546469 0.01913091780902494 0.02182932325873077 0.009871667427618344 0.03391663346423762 -5.0774791747476566E-5 0.0 5.503563289266378E-7 0.01871022317530996 0.008532716981371091 0.011049620489291478 0.004524701072025905 0.01598436411198806 -2.4257860864185243E-6 5.503563289543933E-7 0.0 0.013678853424153398 0.02254722256391717 0.004645537805086086 0.0088138047601527 0.020155469272188364 -0.03883768090546469 0.01871022317530993 0.01367885342415337 2.220446049250313E-16 0.09025842648427793 0.012778743855946103 0.038178346548194964 0.10114967989476942 -0.01913091780902494 0.008532716981371091 0.02254722256391717 0.09025842648427787 2.220446049250313E-16 0.008578555196780191 0.04861770043460839 0.11827887145189964 -0.02182932325873077 0.011049620489291478 0.004645537805086086 0.012778743855946104 0.008578555196780191 2.220446049250313E-16 0.0017968276748464712 0.0033987779249069483 -0.009871667427618344 0.004524701072025905 0.008813804760152588 0.038178346548194964 0.04861770043460839 0.0017968276748464712 1.1102230246251565E-16 0.04880165619041976 -0.03391663346423762 0.015984364111988003 0.020155469272188253 0.10114967989476936 0.11827887145189953 0.0033987779249068373 0.04880165619041971 2.220446049250313E-16 +0.29813714558068444 +0.0 5.0774791750307635E-5 2.425786085669124E-6 0.03883768090546136 0.019130917809027575 0.02182932325871967 0.00987166742762663 0.03391663346423357 +5.0774791750307635E-5 0.0 5.503563274000811E-7 0.018710223175318536 0.008532716981402788 0.011049620489332113 0.004524701071976667 0.015984364111987615 +2.4257860856968794E-6 5.503563274278367E-7 0.0 0.013678853424135107 0.022547222563915392 0.004645537805090194 0.008813804760212207 0.02015546927216605 +0.03883768090546136 0.018710223175318508 0.013678853424135079 2.220446049250313E-16 0.09025842648426527 0.012778743855939181 0.038178346548207065 0.10114967989476989 +0.019130917809027575 0.008532716981402788 0.022547222563915392 0.09025842648426521 2.220446049250313E-16 0.008578555196769533 0.04861770043459507 0.1182788714519033 +0.02182932325871967 0.011049620489332113 0.004645537805090194 0.012778743855939183 0.008578555196769533 2.220446049250313E-16 0.0017968276748671075 0.00339877792490062 +0.00987166742762663 0.004524701071976667 0.008813804760212096 0.038178346548207065 0.04861770043459507 0.0017968276748671075 1.1102230246251565E-16 0.04880165619044008 +0.03391663346423357 0.01598436411198756 0.020155469272165938 0.10114967989476983 0.11827887145190319 0.003398777924900509 0.048801656190440024 2.220446049250313E-16 diff --git a/nearest_correlation_matrices/ncm_nag.ipynb b/nearest_correlation_matrices/ncm_nag.ipynb index 203d782..4a67786 100644 --- a/nearest_correlation_matrices/ncm_nag.ipynb +++ b/nearest_correlation_matrices/ncm_nag.ipynb @@ -188,12 +188,12 @@ } }, "source": [ - "### Import required modules and set print options" + "### Import required modules, set print options and define read_data_file function" ] }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": { "nbpresent": { "id": "bbde4683-adc6-4094-891a-5487f24b873e" @@ -202,7 +202,7 @@ "outputs": [], "source": [ "import numpy as np\n", - "from naginterfaces.library import correg as nl_correg\n", + "#from naginterfaces.library import correg as nl_correg\n", "import matplotlib.pyplot as plt\n", "# Set the print precision\n", "np.set_printoptions(precision=4, suppress=True)" @@ -210,7 +210,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -218,6 +218,38 @@ "%matplotlib inline" ] }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [], + "source": [ + "def read_matrix_file(fname):\n", + " with open(fname) as fdata:\n", + " a = np.array([line.split() for line in fdata], dtype = np.float64)\n", + " return a" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": {}, + "outputs": [], + "source": [ + "def read_data_file(fname):\n", + " with open(fname) as fdata:\n", + " for i, line in enumerate(fdata):\n", + " if i == 0:\n", + " itr = float(line)\n", + " elif i == 1:\n", + " norm = float(line)\n", + " elif i == 2:\n", + " a = np.array([float(lts) for lts in line.split()], dtype = np.float64)\n", + " else:\n", + " a = np.vstack([a, [float(lts) for lts in line.split()]])\n", + " return itr, norm, a" + ] + }, { "cell_type": "markdown", "metadata": { @@ -230,27 +262,26 @@ ] }, { - "cell_type": "code", - "execution_count": 3, + "cell_type": "markdown", "metadata": { "nbpresent": { "id": "ffa06d72-354c-45f8-95d8-95d411e89091" } }, - "outputs": [], "source": [ - "# Define a 2-d array and use np.nan to set elements as NaNs\n", - "P = np.array([[59.875, 42.734, 47.938, 60.359, 54.016, 69.625, 61.500, 62.125],\n", - " [53.188, 49.000, 39.500, np.nan, 34.750, np.nan, 83.000, 44.500],\n", - " [55.750, 50.000, 38.938, np.nan, 30.188, np.nan, 70.875, 29.938],\n", - " [65.500, 51.063, 45.563, 69.313, 48.250, 62.375, 85.250, np.nan],\n", - " [69.938, 47.000, 52.313, 71.016, np.nan, 59.359, 61.188, 48.219],\n", - " [61.500, 44.188, 53.438, 57.000, 35.313, 55.813, 51.500, 62.188],\n", - " [59.230, 48.210, 62.190, 61.390, 54.310, 70.170, 61.750, 91.080],\n", - " [61.230, 48.700, 60.300, 68.580, 61.250, 70.340, np.nan, np.nan],\n", - " [52.900, 52.690, 54.230, np.nan, 68.170, 70.600, 57.870, 88.640],\n", - " [57.370, 59.040, 59.870, 62.090, 61.620, 66.470, 65.370, 85.840]])\n", - "m, n = P.shape" + "```java\n", + "// Define a 2-d array and use Double.NaN to set elements as NaNs\n", + "double[][] P = new double[][] { { 59.875, 42.734, 47.938, 60.359, 54.016, 69.625, 61.500, 62.125 },\n", + " { 53.188, 49.000, 39.500, Double.NaN, 34.750, Double.NaN, 83.000, 44.500 },\n", + " { 55.750, 50.000, 38.938, Double.NaN, 30.188, Double.NaN, 70.875, 29.938 },\n", + " { 65.500, 51.063, 45.563, 69.313, 48.250, 62.375, 85.250, Double.NaN },\n", + " { 69.938, 47.000, 52.313, 71.016, Double.NaN, 59.359, 61.188, 48.219 },\n", + " { 61.500, 44.188, 53.438, 57.000, 35.313, 55.813, 51.500, 62.188 },\n", + " { 59.230, 48.210, 62.190, 61.390, 54.310, 70.170, 61.750, 91.080 },\n", + " { 61.230, 48.700, 60.300, 68.580, 61.250, 70.340, Double.NaN, Double.NaN },\n", + " { 52.900, 52.690, 54.230, Double.NaN, 68.170, 70.600, 57.870, 88.640 },\n", + " { 57.370, 59.040, 59.870, 62.090, 61.620, 66.470, 65.370, 85.840 } };\n", + "```" ] }, { @@ -265,55 +296,91 @@ ] }, { - "cell_type": "code", - "execution_count": 29, + "cell_type": "markdown", "metadata": { "nbpresent": { "id": "af5081b7-3d9a-47f5-8dc1-69fcc57821c0" } }, - "outputs": [], "source": [ - "def cov_bar(P):\n", - " \"\"\"Returns an approximate sample covariance matrix\"\"\"\n", - " # P.shape returns a tuple (m, n) that we unpack to _m and n\n", - " _m, n = P.shape # pylint: disable=unused-variable\n", - " # Initialize an n-by-n zero matrix\n", - " S = np.zeros((n, n))\n", - " for i in range(n): \n", - " # Take the ith column\n", - " xi = P[:, i]\n", - " for j in range(i+1):\n", - " # Take the jth column, where j <= i\n", - " xj = P[:, j] \n", - " # Set mask such that all NaNs are True\n", - " notp = np.isnan(xi) | np.isnan(xj) \n", - " # Apply the mask to xi\n", - " xim = np.ma.masked_array(xi, mask=notp)\n", - " # Apply the mask to xj\n", - " xjm = np.ma.masked_array(xj, mask=notp)\n", - " S[i, j] = np.ma.dot(xim - np.mean(xim), xjm - np.mean(xjm))\n", - " # Take the sum over ~notp to normalize\n", - " S[i, j] = 1.0 / (sum(~notp) - 1) * S[i, j]\n", - " S[j, i] = S[i, j]\n", - " return S" + "```java\n", + "public static double[][] cov_bar(double[][] P) {\n", + " double[] xi, xj;\n", + " boolean[] xib, xjb, notp;\n", + " int n = P[0].length;\n", + " double[][] S = new double[n][n];\n", + " int notpFalseCount;\n", + " \n", + " for (int i = 0; i < n; i++) {\n", + " // Take the ith column\n", + " xi = getMatrixColumn(P, i);\n", + " \n", + " for (int j = 0; j < i + 1; j++) {\n", + " // Take the jth column, where j <= i\n", + " xj = getMatrixColumn(P, j);\n", + " \n", + " // Set mask such that all NaNs are true\n", + " xib = getNanMask(xi);\n", + " xjb = getNanMask(xj);\n", + " \n", + " notp = addBoolArrOr(xib, xjb);\n", + " \n", + " // S[i][j] = (xi - mean(xi)) * (xj - mean(xj))\n", + " S[i][j] = matrixMaskedDot(vectorSubScalar(xi, vectorMaskedMean(xi, notp)),\n", + " vectorSubScalar(xj, vectorMaskedMean(xj, notp)), notp);\n", + " \n", + " // Take the sum over !notp to normalize\n", + " notpFalseCount = 0;\n", + " for (boolean b : notp) {\n", + " if (!b) {\n", + " notpFalseCount++;\n", + " }\n", + " }\n", + " S[i][j] = 1.0 / (notpFalseCount - 1) * S[i][j];\n", + " S[j][i] = S[i][j];\n", + " }\n", + " }\n", + " return S;\n", + "}\n", + "```" ] }, { - "cell_type": "code", - "execution_count": 30, + "cell_type": "markdown", "metadata": { "nbpresent": { "id": "80b820b1-7c3b-4c96-a4a6-09b5ef00dacb" } }, - "outputs": [], "source": [ - "def cor_bar(P):\n", - " \"\"\"Returns an approximate sample correlation matrix\"\"\"\n", - " S = cov_bar(P)\n", - " D = np.diag(1.0 / np.sqrt(np.diag(S)))xi\n", - " return D @ S @ D " + "```java\n", + "public static double[][] cor_bar(double[][] P) {\n", + " double[][] S, D;\n", + " S = cov_bar(P);\n", + " // D = 1.0 / SQRT(S)\n", + " D = getMatrixFromDiag(vectorRightDiv(vectorSqrt(getMatrixDiag(S)), 1.0));\n", + "\n", + " // S_ = S * D\n", + " F01CK f01ck = new F01CK();\n", + " double[] S_ = new double[S.length * S[0].length];\n", + " double[] S1d = convert2DTo1D(S);\n", + " double[] D1d = convert2DTo1D(D);\n", + " int n = S.length;\n", + " int p = n;\n", + " int m = n;\n", + " double[] z = new double[0];\n", + " int iz = 0;\n", + " int opt = 1;\n", + " int ifail = 0;\n", + " f01ck.eval(S_, S1d, D1d, n, p, m, z, iz, opt, ifail);\n", + " \n", + " // D_ = D * S_\n", + " double[] D_ = new double[n * n];\n", + " f01ck.eval(D_, D1d, S_, n, p, m, z, iz, opt, ifail);\n", + " \n", + " return convert1DTo2D(D_, n);\n", + "}\n", + "```" ] }, { @@ -327,13 +394,23 @@ "### Compute the *approximate* correlation matrix" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "```java\n", + "double[][] G = cor_bar(P);\n", + "```" + ] + }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 64, "metadata": { "nbpresent": { "id": "f417663e-badf-45d3-8f98-0647907657de" - } + }, + "scrolled": true }, "outputs": [ { @@ -353,7 +430,7 @@ } ], "source": [ - "G = cor_bar(P)\n", + "G = read_matrix_file(\"G.d\")\n", "print(\"The approximate correlation matrix \\n{}\".format(G))" ] }, @@ -370,9 +447,34 @@ "* We see below that our matrix $G$ is not a mathematically true correlation matrix." ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "```java\n", + "F08NA f08na = new F08NA();\n", + "String jobvl = \"N\";\n", + "String jobvr = \"N\";\n", + "int n = G[0].length;\n", + "double[] G1d = convert2DTo1D(G);\n", + "int lda = G.length;\n", + "double[] wr = new double[n];\n", + "double[] wi = new double[n];\n", + "int ldvl = 1;\n", + "double[] vl = new double[ldvl];\n", + "int ldvr = 1;\n", + "double[] vr = new double[ldvr];\n", + "int lwork = 3 * n;\n", + "double[] work = new double[lwork];\n", + "int info = 0;\n", + "f08na.eval(jobvl, jobvr, n, G1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, info);\n", + "Arrays.sort(wr);\n", + "```" + ] + }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 66, "metadata": { "nbpresent": { "id": "b1c83af0-e6ca-42cc-a0ca-50276ebe4f67" @@ -383,12 +485,13 @@ "name": "stdout", "output_type": "stream", "text": [ - "Sorted eigenvalues of G [-0.2498 -0.016 0.0895 0.2192 0.7072 1.7534 1.9611 3.5355]\n" + "Sorted eigenvalues of G [[-0.2498 -0.016 0.0895 0.2192 0.7072 1.7534 1.9611 3.5355]]\n" ] } ], "source": [ - "print(\"Sorted eigenvalues of G {}\".format(np.sort(np.linalg.eig(G)[0])))" + "G_eigen = read_matrix_file(\"G_eigen.d\")\n", + "print(\"Sorted eigenvalues of G {}\".format(G_eigen))" ] }, { @@ -440,9 +543,35 @@ "## Using corrmat_nearest to compute the nearest correlation matrix in the Frobenius norm" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "```java\n", + "// Call NAG routine G02AA and print the result\n", + "G02AA g02aa = new G02AA();\n", + "G1d = convert2DTo1D(G);\n", + "n = G.length;\n", + "int ldg = n;\n", + "int ldx = n;\n", + "double errtol = 0.0;\n", + "int maxits = 0;\n", + "int maxit = 0;\n", + "double[] X1d = new double[ldx * n];\n", + "int iter = 0;\n", + "int feval = 0;\n", + "double nrmgrd = 0.0;\n", + "int ifail = 0;\n", + "g02aa.eval(G1d, ldg, n, errtol, maxits, maxit, X1d, ldx, iter, feval, nrmgrd, ifail);\n", + "\n", + "double[][] X = convert1DTo2D(X1d, ldx);\n", + "iter = g02aa.getITER();\n", + "```" + ] + }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 67, "metadata": { "nbpresent": { "id": "9d1819cb-4c08-4d0b-8cbe-d9de4ab61a0f" @@ -466,14 +595,35 @@ } ], "source": [ - "# \"Call NAG routine library.correg.corrmat_nearest and print the result\n", - "X, itr, _, _ = nl_correg.corrmat_nearest(G)\n", + "X = read_matrix_file(\"X_G02AA.d\")\n", "print(\"Nearest correlation matrix\\n{}\".format(X))" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "```java\n", + "jobvl = \"N\";\n", + "jobvr = \"N\";\n", + "n = X[0].length;\n", + "lda = X.length;\n", + "wr = new double[n];\n", + "wi = new double[n];\n", + "ldvl = 1;\n", + "vl = new double[ldvl];\n", + "ldvr = 1;\n", + "vr = new double[ldvr];\n", + "lwork = 3 * n;\n", + "work = new double[lwork];\n", + "info = 0;\n", + "f08na.eval(jobvl, jobvr, n, X1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, info);\n", + "```" + ] + }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 70, "metadata": { "nbpresent": { "id": "9737d750-04fe-4a91-933c-a799449e427e" @@ -484,21 +634,18 @@ "name": "stdout", "output_type": "stream", "text": [ - "Sorted eigenvalues of X [-0.0000 0.0000 0.0380 0.1731 0.6894 1.7117 1.9217 3.4661 ]\n" + "Sorted eigenvalues of X [[-0. 0. 0.038 0.1731 0.6894 1.7117 1.9217 3.4661]]\n" ] } ], "source": [ - "print(\"Sorted eigenvalues of X [{0}]\".format(\n", - " ''.join(\n", - " ['{:.4f} '.format(x) for x in np.sort(np.linalg.eig(X)[0])]\n", - " )\n", - "))" + "X_eigen = read_matrix_file(\"X_eigen_G02AA.d\")\n", + "print(\"Sorted eigenvalues of X {}\".format(X_eigen))" ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 79, "metadata": { "nbpresent": { "id": "85008295-2019-4aae-8de4-10440d7b1192" @@ -507,7 +654,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -519,9 +666,11 @@ } ], "source": [ + "itr, norm, X_G = read_data_file(\"g02aa.d\")\n", + "\n", "# Plot the difference between G and X as a small shaded square for each element\n", "fig1, ax1 = plt.subplots(figsize=(14, 7))\n", - "cax1 = ax1.imshow(abs(X-G), interpolation='none', cmap=plt.cm.Blues, \n", + "cax1 = ax1.imshow(X_G, interpolation='none', cmap=plt.cm.Blues, \n", " vmin=0, vmax=0.2)\n", "cbar = fig1.colorbar(cax1, ticks = np.linspace(0.0, 0.2, 11, endpoint=True), \n", " boundaries=np.linspace(0.0, 0.2, 11, endpoint=True))\n", @@ -531,7 +680,7 @@ " labelbottom='off', labelleft='off')\n", "ax1.set_title(r'$|G-X|$ for corrmat_nearest', fontsize=16)\n", "plt.xlabel(\n", - " r'Iterations: {0}, $||G-X||_F = {1:.4f}$'.format(itr, np.linalg.norm(X-G)),\n", + " r'Iterations: {0}, $||G-X||_F = {1:.4f}$'.format(itr, norm),\n", " fontsize=14,\n", ")\n", "plt.show()" From fbc6a813f61dd59b357eb8cb086e2d21c5a8c207 Mon Sep 17 00:00:00 2001 From: "U-NAGNTD\\christos.efstathiou" Date: Wed, 16 Dec 2020 16:51:49 +0200 Subject: [PATCH 008/196] Added G02AB to jupyter --- nearest_correlation_matrices/NcmNag.java | 4 +- nearest_correlation_matrices/X_G02AB.d | 8 ++ nearest_correlation_matrices/X_eigen_G02AB.d | 1 + nearest_correlation_matrices/ncm_nag.ipynb | 118 ++++++++++++------- 4 files changed, 87 insertions(+), 44 deletions(-) create mode 100755 nearest_correlation_matrices/X_G02AB.d create mode 100755 nearest_correlation_matrices/X_eigen_G02AB.d diff --git a/nearest_correlation_matrices/NcmNag.java b/nearest_correlation_matrices/NcmNag.java index 9178664..383d8a1 100644 --- a/nearest_correlation_matrices/NcmNag.java +++ b/nearest_correlation_matrices/NcmNag.java @@ -157,6 +157,7 @@ public static void main(String[] args) { System.out.println("Nearest correlation matrix using row and column weighting"); printMatrix(X); + printMatrixToFile(X, "X_G02AB.d"); System.out.println(); @@ -174,10 +175,11 @@ public static void main(String[] args) { work = new double[lwork]; info = 0; f08na.eval(jobvl, jobvr, n, X1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, info); + Arrays.sort(wr); System.out.print("Sorted eigenvalues of X: "); - Arrays.sort(wr); printVector(wr); + printVectorToFile(wr, "X_eigen_G02AB.d"); System.out.println(); diff --git a/nearest_correlation_matrices/X_G02AB.d b/nearest_correlation_matrices/X_G02AB.d new file mode 100755 index 0000000..383aa7b --- /dev/null +++ b/nearest_correlation_matrices/X_G02AB.d @@ -0,0 +1,8 @@ +1.0 -0.32499086422511064 0.18813706419032963 0.5739128316455077 0.006738901197749145 -0.6096507044247871 -0.07218069830824884 -0.1598053100245198 +-0.32499086422511064 1.0 0.20483815677603381 0.24258082716446366 0.40603025892212846 0.2737263482817928 0.28701024943514414 0.4235977581494052 +0.18813706419032963 0.20483815677603381 1.0 -0.13218803180471228 0.766133653156408 0.27591992209907573 -0.617050948080334 0.9003875097308778 +0.5739128316455077 0.24258082716446366 -0.13218803180471228 1.0 0.20846854455003783 -0.0890209789283727 0.5954127463233153 -0.18053621187034669 +0.006738901197749145 0.40603025892212846 0.766133653156408 0.20846854455003783 1.0 0.6556061052115361 -0.2779768051435209 0.875650876566524 +-0.6096507044247871 0.2737263482817928 0.27591992209907573 -0.0890209789283727 0.6556061052115361 1.0 0.0490251039924178 0.5746086153246388 +-0.07218069830824884 0.28701024943514414 -0.617050948080334 0.5954127463233153 -0.2779768051435209 0.0490251039924178 1.0 -0.4550021030394424 +-0.1598053100245198 0.4235977581494052 0.9003875097308778 -0.18053621187034669 0.875650876566524 0.5746086153246388 -0.4550021030394424 1.0 diff --git a/nearest_correlation_matrices/X_eigen_G02AB.d b/nearest_correlation_matrices/X_eigen_G02AB.d new file mode 100755 index 0000000..b9f32aa --- /dev/null +++ b/nearest_correlation_matrices/X_eigen_G02AB.d @@ -0,0 +1 @@ +9.999999999997552E-4 9.99999999999841E-4 0.030520719790230445 0.1646165705339852 0.676371387352591 1.771620208378711 1.8909924571529526 3.4638786567915307 diff --git a/nearest_correlation_matrices/ncm_nag.ipynb b/nearest_correlation_matrices/ncm_nag.ipynb index 4a67786..1067fcf 100644 --- a/nearest_correlation_matrices/ncm_nag.ipynb +++ b/nearest_correlation_matrices/ncm_nag.ipynb @@ -99,7 +99,7 @@ "* We compute each covariance with observations that are available for *both* the *i*th and *j*th variable.\n", "\n", "\n", - "* For example NAG routine **library.correg.coeffs_pearson_miss_case**.\n", + "* For example NAG routine **G02BB**.\n", "\n", "\n", "* We then compute the correlation matrix as before.\n", @@ -188,7 +188,7 @@ } }, "source": [ - "### Import required modules, set print options and define read_data_file function" + "### Import required modules, set print options and define the read_file functions" ] }, { @@ -527,7 +527,7 @@ "* It is globally and quadratically (fast!) convergent.\n", "\n", "\n", - "* This is implemented in NAG routine **library.correg.corrmat_nearest**.\n", + "* This is implemented in NAG routine **G02AA**.\n", "\n", "\n" ] @@ -540,7 +540,7 @@ } }, "source": [ - "## Using corrmat_nearest to compute the nearest correlation matrix in the Frobenius norm" + "## Using G02AA to compute the nearest correlation matrix in the Frobenius norm" ] }, { @@ -571,7 +571,7 @@ }, { "cell_type": "code", - "execution_count": 67, + "execution_count": 82, "metadata": { "nbpresent": { "id": "9d1819cb-4c08-4d0b-8cbe-d9de4ab61a0f" @@ -645,7 +645,7 @@ }, { "cell_type": "code", - "execution_count": 79, + "execution_count": 88, "metadata": { "nbpresent": { "id": "85008295-2019-4aae-8de4-10440d7b1192" @@ -654,7 +654,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -678,7 +678,7 @@ "ax1.tick_params(axis='both', which='both', \n", " bottom='off', top='off', left='off', right='off', \n", " labelbottom='off', labelleft='off')\n", - "ax1.set_title(r'$|G-X|$ for corrmat_nearest', fontsize=16)\n", + "ax1.set_title(r'$|G-X|$ for G02AA', fontsize=16)\n", "plt.xlabel(\n", " r'Iterations: {0}, $||G-X||_F = {1:.4f}$'.format(itr, norm),\n", " fontsize=14,\n", @@ -718,7 +718,7 @@ "* Perhaps we wish to preserve part of the correlation matrix?\n", "\n", "\n", - "* We could solve the *weighted* problem, NAG routine **library.correg.corrmat_nearest_bounded**\n", + "* We could solve the *weighted* problem, NAG routine **G02AB**\n", "\n", "\n", "$$ \\Large \\|W^{\\frac{1}{2}} (G-X) W^{\\frac{1}{2}} \\|_F$$ \n", @@ -739,31 +739,48 @@ } }, "source": [ - "### Use corrmat_nearest_bounded to compute the nearest correlation matrix with row and column weighting" + "### Use G02AB to compute the nearest correlation matrix with row and column weighting" ] }, { - "cell_type": "code", - "execution_count": 11, + "cell_type": "markdown", "metadata": { "nbpresent": { - "id": "0f8ff272-e0f6-417e-8e2e-650964663d0f" + "id": "0a7c5d11-13ec-4f52-b222-c6540fcdd67c" } }, - "outputs": [], "source": [ - "# Define an array of weights\n", - "W = np.array([10, 10, 10, 1, 1, 1, 1, 1], dtype = np.float64)" + "```java\n", + "// Define an arrray of weights\n", + "double[] W = new double[] { 10, 10, 10, 1, 1, 1, 1, 1 };\n", + "\n", + "// Set up and call the NAG routine using weights and a minimum eigenvalue\n", + "G02AB g02ab = new G02AB();\n", + "G1d = convert2DTo1D(G);\n", + "ldg = G.length;\n", + "n = G[0].length;\n", + "String opt = \"B\";\n", + "double alpha = 0.001;\n", + "errtol = 0.0;\n", + "maxits = 0;\n", + "maxit = 0;\n", + "ldx = n;\n", + "X1d = new double[ldx * n];\n", + "iter = 0;\n", + "feval = 0;\n", + "nrmgrd = 0;\n", + "ifail = 0;\n", + "g02ab.eval(G1d, ldg, n, opt, alpha, W, errtol, maxits, maxit, X1d, ldx, iter, feval, nrmgrd, ifail);\n", + "\n", + "X = convert1DTo2D(X1d, ldx);\n", + "iter = g02ab.getITER();\n", + "```" ] }, { "cell_type": "code", - "execution_count": 12, - "metadata": { - "nbpresent": { - "id": "0a7c5d11-13ec-4f52-b222-c6540fcdd67c" - } - }, + "execution_count": 84, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -782,41 +799,54 @@ } ], "source": [ - "# Set up and call the NAG routine using weights and a minimum eigenvalue\n", - "opt = 'B'\n", - "alpha = 0.001\n", - "X, itr, _, _ = nl_correg.corrmat_nearest_bounded(G, opt, alpha, W)\n", + "X = read_matrix_file(\"X_G02AB.d\")\n", "print(\"Nearest correlation matrix using row and column weighting\\n{}\".format(X))" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "```java\n", + "jobvl = \"N\";\n", + "jobvr = \"N\";\n", + "n = X[0].length;\n", + "lda = X.length;\n", + "wr = new double[n];\n", + "wi = new double[n];\n", + "ldvl = 1;\n", + "vl = new double[ldvl];\n", + "ldvr = 1;\n", + "vr = new double[ldvr];\n", + "lwork = 3 * n;\n", + "work = new double[lwork];\n", + "info = 0;\n", + "f08na.eval(jobvl, jobvr, n, X1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, info);\n", + "Arrays.sort(wr);\n", + "```" + ] + }, { "cell_type": "code", - "execution_count": 13, - "metadata": { - "nbpresent": { - "id": "4db463c7-773f-41ec-84a0-ece179fa37da" - } - }, + "execution_count": 86, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Sorted eigenvalues of X [0.0010 0.0010 0.0305 0.1646 0.6764 1.7716 1.8910 3.4639 ]\n" + "Sorted eigenvalues of X [[0.001 0.001 0.0305 0.1646 0.6764 1.7716 1.891 3.4639]]\n" ] } ], "source": [ - "print(\"Sorted eigenvalues of X [{0}]\".format(\n", - " ''.join(\n", - " ['{:.4f} '.format(x) for x in np.sort(np.linalg.eig(X)[0])]\n", - " )\n", - "))" + "X_eigen = read_matrix_file(\"X_eigen_G02AB.d\")\n", + "print(\"Sorted eigenvalues of X {}\".format(X_eigen))" ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 89, "metadata": { "nbpresent": { "id": "f769cb44-ca59-43ad-a0b6-29e394f2557e" @@ -825,7 +855,7 @@ "outputs": [ { "data": { - "image/png": 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1zwS+D1wGfBf4blV9Zrr2POctSdIQTHb77Ko6oef5cu47r91b5h7gZbNpy563JEkdY/KWJKljTN6SJHWMyVuSpI5xwpo2K9Nfil+jNMN9EDRCXT723Y282+x5S5LUMSZvSZI6xuQtSVLHmLwlSeoYk7ckSR1j8pYkqWNM3pIkdYzJW5KkjjF5S5LUMSZvSZI6xuQtSVLHmLwlSeoYk7ckSR1j8pYkqWNM3pIkdYzJW5KkjjF5S5LUMSZvSZI6xuQtSVLHzJi8k5yc5OYkl2+KgCRJ0vQG6XmfAhw84jgkSdKAZkzeVfVV4NZNEIskSRqA57wlSeqYoSXvJMcmWZFkxZq1a4ZVrSRpM7Zm7RomPvvbx7HjjmlLMLTkXVVLq2pxVS1euGDhsKqVJG3GFi5YyMRnf/tYOu6YxiXJwUmuTrIqyfGTbH9WkouTbEhyeN+2xyT5QpIrk1yRZI/p2nLYXJKkOUoyDzgJOARYBByVZFFfseuBY4CPTlLFB4F3VNXjgCXAzdO1N8hPxT4GXADsk2R1kpfOtI8kSVuYJcCqqrqmqtYDpwGH9Raoqmur6lLg3t71bZKfX1XnteXWVdUd0zU2f6ZoquqoWf4BkiQ92CxIsqJneWnfKYJdgBt6llcDTxmw7l8HfpLkk8CewBeB46vqnql2mDF5S5LURfO3ns/Oj955KHX9DNZW1eKhVPZA84FnAk+iGVo/nWZ4/QNT7eA5b0mS5u5GYLee5V3bdYNYDVzSDrlvAD4FPHm6HUzekiTN3XJg7yR7JtkGOBI4exb77phk4qdazwaumG4Hk7ckSXPU9piPA84FrgTOqKqVSU5McihAkgOSrAaOAN6fZGW77z3Aa4AvJbkMCPAf07XnOW9JkoagqpYBy/rWndDzfDnNcPpk+54HPGHQtux5S5LUMSZvSZI6xuQtSVLHmLwlSeoYk7ckSR1j8pYkqWNM3pIkdYzJW5KkjjF5S5LUMSZvSZI6xuQtSVLHmLwlSeoYk7ckSR3jXcW0WUky7hAkabNnz1uSpI4xeUuS1DEmb0mSOsbkLUlSx5i8JUnqGJO3JEkdY/KWJKljTN6SJHWMyVuSpI4xeUuS1DEmb0mSOsbkLUlSx5i8JUnqGJO3JEkdY/KWJKljTN6SJA1BkoOTXJ1kVZLjJ9n+rCQXJ9mQ5PBJtj8iyeok/z5TWyZvSZLmKMk84CTgEGARcFSSRX3FrgeOAT46RTVvBr46SHsmb0mS5m4JsKqqrqmq9cBpwGG9Barq2qq6FLi3f+ck+wOPAr4wSGMmb0mSZrYgyYqex7F923cBbuhZXt2um1GSrYB/AV4zaDDzBy0oSVKXbL3NPHbZ5RFDqetaWFtVi4dS2QO9HFhWVauTDLTDjMk7yW7AB2m68wUsrar3zCVKSZIeZG4EdutZ3rVdN4inAc9M8nLgYcA2SdZV1QMmvU0YpOe9Afjbqro4ycOBi5KcV1VXDBiUJEkPdsuBvZPsSZO0jwReOMiOVfUnE8+THAMsni5xwwDnvKvqpqq6uH3+M+BKBhzHlyRpS1BVG4DjgHNp8uQZVbUyyYlJDgVIckCS1cARwPuTrNzY9mZ1zjvJHsCTgAsn2XYscCzAbo95zMbGI0nqkDVr15BkRc+qpVW1dGwBjVFVLQOW9a07oef5cprh9OnqOAU4Zaa2Bk7eSR4GfAJ4VVX9dJIGlwJLAfbff3ENWq8kqbsWLljI9dddN6qJXJrCQD8VS7I1TeL+SFV9crQhSZKk6cyYvNPMW/8AcGVVvWv0IUmSpOkM0vN+OvCnwLOTXNI+fmfEcUmSpCnMeM67qr4ODParcUmSNHJeHlWSpI4xeUuS1DEmb0mSOsbkLUlSx5i8JUnqGJO3JEkdY/KWJKljTN6SJHWMyVuSpI4xeUuS1DEmb0mSOsbkLUlSx5i8JUnqGJO3JEkdY/KWJKljTN6SJHWMyVuSpI4xeUuS1DHzR1FpAffeW6OoeuSScUcwN+n6H9Bh//i5q8Ydwpysu/uecYcwJ0fvt8u4Q9hoL/vginGHsNFW3fTTcYewRbLnLUlSx5i8JUnqGJO3JEkdY/KWJKljTN6SJHWMyVuSpCFIcnCSq5OsSnL8JNufleTiJBuSHN6zfr8kFyRZmeTSJH88U1smb0mS5ijJPOAk4BBgEXBUkkV9xa4HjgE+2rf+DuDFVfV44GDgX5PsOF17I/mdtyRJW5glwKqqugYgyWnAYcAVEwWq6tp22729O1bV93qe/zDJzcBC4CdTNWbPW5KkmS1IsqLncWzf9l2AG3qWV7frZiXJEmAb4PvTlbPnLUl6UNp263ns8cuPGEpd34C1VbV4KJVNIcmjgQ8BR1fVvdOVtectSdLc3Qjs1rO8a7tuIEkeAZwD/ENVfWum8iZvSZLmbjmwd5I9k2wDHAmcPciObfmzgA9W1ZmD7GPyliRpjqpqA3AccC5wJXBGVa1McmKSQwGSHJBkNXAE8P4kK9vd/wh4FnBMkkvax37Ttec5b0mShqCqlgHL+tad0PN8Oc1wev9+HwY+PJu27HlLktQxJm9JkjrG5C1JUseYvCVJ6hiTtyRJHTNj8k7ykCTfTvLd9o4nb9oUgUmSpMkN8lOxu4FnV9W6JFsDX0/yuUGuACNJkoZvxuRdVQWsaxe3bh81yqAkSdLUBjrnnWRekkuAm4HzqurC0YYlSZKmMlDyrqp7qmo/mivDLEmyb3+ZJMdO3Cpt7do1w45TkrQZ2nDH7cxwq0yNwKwuj1pVP0nyFeBg4PK+bUuBpQBP3n+xw+qStAWYv90OrP/Jj0d6q0w90CCzzRcm2bF9/lDgucBVow5MkiRNbpCe96OBU5PMo0n2Z1TVZ0cbliRJmsogs80vBZ60CWKRJEkD8AprkiR1jMlbkqSOMXlLktQxJm9JkjrG5C1JUseYvCVJ6hiTtyRJHWPyliSpY0zekiR1jMlbkqSOMXlLktQxJm9JkjrG5C1JUseYvCVJ6hiTtyRJHWPyliRpCJIcnOTqJKuSHD/J9mcluTjJhiSH9207Osl/t4+jZ2rL5C1J0hwlmQecBBwCLAKOSrKor9j1wDHAR/v2fSTwBuApwBLgDUl2mq49k7ckSXO3BFhVVddU1XrgNOCw3gJVdW1VXQrc27fv84HzqurWqroNOA84eLrG5g8v7vsE2GqrjKJqPcj94+euGncIG+0thzx23CHMyR13bxh3CHNy5Q9/Nu4QNtruu+4w7hA22vVbzxt3CJuLXYAbepZX0/SkN3bfXabbYSTJW5Kkcdt2/lbs9UvbDau6BUlW9Cwvraqlw6p8tkzekiTNbG1VLZ5m+43Abj3Lu7brBnEjcGDfvudPt4PnvCVJmrvlwN5J9kyyDXAkcPaA+54LPC/JTu1Etee166Zk8pYkaY6qagNwHE3SvRI4o6pWJjkxyaEASQ5Isho4Anh/kpXtvrcCb6b5ArAcOLFdNyWHzSVJGoKqWgYs61t3Qs/z5TRD4pPtezJw8qBt2fOWJKljTN6SJHWMyVuSpI4xeUuS1DEmb0mSOsbkLUlSx5i8JUnqGJO3JEkdY/KWJKljTN6SJHWMyVuSpI4xeUuS1DEmb0mSOsbkLUlSx5i8JUnqmIGTd5J5Sb6T5LOjDEiSJE1vNj3vVwJXjioQSZI0mIGSd5Jdgd8F/nO04UiSpJkM2vP+V+DvgHunKpDk2CQrkqxYs3bNUIKTJG3e1q/7CROf/e3j2HHHtCWYP1OBJL8H3FxVFyU5cKpyVbUUWAqw//6La2gRSpI2W9s8bEfuuOWmxeOOY0szSM/76cChSa4FTgOeneTDI41KkiRNacbkXVWvrapdq2oP4Ejgy1X1opFHJkmSJuXvvCVJ6pgZz3n3qqrzgfNHEokkSRqIPW9JkjrG5C1JUseYvCVJ6hiTtyRJHWPyliSpY0zekiQNQZKDk1ydZFWS4yfZvm2S09vtFybZo12/dZJTk1yW5Mokr52pLZO3JElzlGQecBJwCLAIOCrJor5iLwVuq6q9gHcDb2vXHwFsW1W/AewPvGwisU/F5C1J0twtAVZV1TVVtZ7mcuKH9ZU5DDi1fX4mcFCSAAVsn2Q+8FBgPfDT6RozeUuSNHe7ADf0LK9u101apqo2ALcDO9Mk8p8DNwHXA++sqluna2xWV1iTJKkrHjJ/K/ZZuN2wqluQZEXP8tL2bprDsAS4B/gVYCfga0m+WFXXTLWDyVuSpJmtrarpbn16I7Bbz/Ku7brJyqxuh8h3AG4BXgh8vqp+Adyc5BvAYmDK5O2wuSRJc7cc2DvJnkm2obkL59l9Zc4Gjm6fH05zl86iGSp/NkCS7YGnAldN15jJW5KkOWrPYR8HnAtcCZxRVSuTnJjk0LbYB4Cdk6wCXg1M/JzsJOBhSVbSfAn4r6q6dLr2HDaXJGkIqmoZsKxv3Qk9z++i+VlY/37rJls/HXvekiR1jMlbkqSOMXlLktQxJm9JkjpmJBPWCmhmv3dPc6U6jcu6u+8Zdwgb7Y67N4w7hDnZbttuz1/df8+dxh3CRjtp5yeMO4SN9nvvHdpFUDQL9rwlSeoYk7ckSR1j8pYkqWNM3pIkdYzJW5KkjjF5S5LUMSZvSZI6xuQtSVLHmLwlSeoYk7ckSR1j8pYkqWNM3pIkdYzJW5KkjjF5S5LUMSZvSZI6xuQtSVLHmLwlSeoYk7ckSR1j8pYkqWPmD1IoybXAz4B7gA1VtXiUQUmSpKkNlLxbv11Va0cWiSRJGojD5pIkdcygybuALyS5KMmxowxIkiRNb9Bh82dU1Y1Jfgk4L8lVVfXV3gJtUj8WYLfHPGbIYUqSNke33rKGJCt6Vi2tqqVjC2gLMVDPu6pubP+9GTgLWDJJmaVVtbiqFi9YsHC4UUqSNkuP3HkhE5/97WOLTdxJDk5ydZJVSY6fZPu2SU5vt1+YZI+ebU9IckGSlUkuS/KQ6dqaMXkn2T7JwyeeA88DLp/tHyVJ0oNVknnAScAhwCLgqCSL+oq9FLitqvYC3g28rd13PvBh4C+r6vHAgcAvpmtvkJ73o4CvJ/ku8G3gnKr6/MB/kSRJD35LgFVVdU1VrQdOAw7rK3MYcGr7/EzgoCSh6RRfWlXfBaiqW6rqnukam/Gcd1VdAzxxdn+DJElblF2AG3qWVwNPmapMVW1IcjuwM/DrQCU5F1gInFZVb5+usdn8zluSpM7Ydt5W7PHw7YdV3YIRTsybDzwDOAC4A/hSkouq6kvT7SBJkqa3doari94I7NazvGu7brIyq9vz3DsAt9D00r86cSG0JMuAJwNTJm8v0iJJ0twtB/ZOsmeSbYAjgbP7ypwNHN0+Pxz4clUVcC7wG0m2a5P6bwFXTNeYPW9JkuaoPYd9HE0ingecXFUrk5wIrKiqs4EPAB9Ksgq4lSbBU1W3JXkXzReAApZV1TnTtWfyliRpCKpqGbCsb90JPc/vAo6YYt8P0/xcbCAOm0uS1DEmb0mSOsbkLUlSx5i8JUnqGJO3JEkdY/KWJKljTN6SJHWMyVuSpI4xeUuS1DEmb0mSOsbkLUlSx5i8JUnqGJO3JEkdY/KWJKljRnJL0ABJRlG1HuSO3m+XcYew0a784c/GHcKc7L/nTuMOYYv1vR93971z14Z7xh3CFsmetyRJHWPyliSpY0zekiR1jMlbkqSOMXlLktQxJm9JkjrG5C1JUseYvCVJ6hiTtyRJHWPyliSpY0zekiR1jMlbkqSOMXlLktQxJm9JkjrG5C1J0hAkOTjJ1UlWJTl+ku3bJjm93X5hkj36tj8mybokr5mpLZO3JElzlGQecBJwCLAIOCrJor5iLwVuq6q9gHcDb+vb/i7gc4O0Z/KWJGnulgCrquqaqloPnAYc1lfmMODU9vmZwEFJApDkBcAPgJWDNGbyliRp7nYBbuhZXt2um7RMVW0Abgd2TvIw4O+BNw3a2Pw5hSpJ0mZq3lZh54dvM6zqFiRZ0bO8tKqWDqnuNwLvrqp1bUd8RgMl7yQ7Av8J7AsU8GdVdcFGBilJUtesrarF02y/EditZ3nXdt1kZVYnmQ/sANwCPAU4PMnbgR2Be5PcVVX/PlVjg/a83wN8vqoOT7INsN2A+0mStCVYDuydZE+aJH0k8MK+MmcDR5I+dHQAABHDSURBVAMXAIcDX66qAp45USDJG4F10yVuGCB5J9kBeBZwDEB7In79YH+LJEkPflW1IclxwLnAPODkqlqZ5ERgRVWdDXwA+FCSVcCtNAl+owzS894TWAP8V5InAhcBr6yqn/cWSnIscCzAbo95zMbGI0nqkNtvvYURngvulKpaBizrW3dCz/O7gCNmqOONg7Q1yGzz+cCTgfdV1ZOAnwMP+PF5VS2tqsVVtXjhgoWDtC1J6rgdHrkzE5/97WOLTNyb2iDJezWwuqoubJfPpEnmkiRpDGZM3lX1I+CGJPu0qw4CrhhpVJIkaUqDzjb/a+Aj7Uzza4CXjC4kSZI0nYGSd1VdAkz3+zZJkrSJeHlUSZI6xuQtSVLHmLwlSeoYk7ckSR1j8pYkqWNM3pIkdYzJW5KkjjF5S5LUMSZvSZI6xuQtSVLHmLwlSeoYk7ckSR1j8pYkqWNM3pIkdYzJW5KkjjF5S5LUMSZvSZI6xuQtSVLHzB9FpQVU1SiqHrkk4w5hi/ayD64Ydwgbbfdddxh3CHNy0s5PGHcIc/K9H/9s3CFstGfsvWDcIWy0h287kjSiGdjzliSpY0zekiR1jMlbkqSOMXlLktQxJm9JkjrG5C1J0hAkOTjJ1UlWJTl+ku3bJjm93X5hkj3a9c9NclGSy9p/nz1TWyZvSZLmKMk84CTgEGARcFSSRX3FXgrcVlV7Ae8G3tauXwv8flX9BnA08KGZ2jN5S5I0d0uAVVV1TVWtB04DDusrcxhwavv8TOCgJKmq71TVD9v1K4GHJtl2usZM3pIkzd0uwA09y6vbdZOWqaoNwO3Azn1l/hC4uKrunq4xL40jSXpQ2nreVix8+LQd2NlYkKT3EpBLq2rpsCoHSPJ4mqH0581U1uQtSdLM1lbV4mm23wjs1rO8a7tusjKrk8wHdgBuAUiyK3AW8OKq+v5MwThsLknS3C0H9k6yZ5JtgCOBs/vKnE0zIQ3gcODLVVVJdgTOAY6vqm8M0pjJW5KkOWrPYR8HnAtcCZxRVSuTnJjk0LbYB4Cdk6wCXg1M/JzsOGAv4IQkl7SPX5quPYfNJUkagqpaBizrW3dCz/O7gCMm2e8twFtm05Y9b0mSOsbkLUlSx5i8JUnqGJO3JEkdY/KWJKljZkzeSfbpmbp+SZKfJnnVpghOkiQ90Iw/Fauqq4H94H/umnIjzVVgJEnSGMx22Pwg4PtVdd0ogpEkSTObbfI+EvjYKAKRJEmDGTh5t9dqPRT4+BTbj02yIsmKtWvXDCs+SdJmbM3aNUx89rePY8cd05ZgNpdHPYTmHqM/nmxje2u0pQBP3n9xDSE2SdJmbuGChVx/3XXT3W1LIzCbYfOjcMhckqSxGyh5J9keeC7wydGGI0mSZjLQsHlV/RzYecSxSJKkAXiFNUmSOsbkLUlSx5i8JUnqGJO3JEkdY/KWJKljTN6SJHWMyVuSpI4xeUuS1DEmb0mSOsbkLUlSx5i8JUnqGJO3JEkdY/KWJKljTN6SJHWMyVuSpI4xeUuSNARJDk5ydZJVSY6fZPu2SU5vt1+YZI+eba9t11+d5PkztWXyliRpjpLMA04CDgEWAUclWdRX7KXAbVW1F/Bu4G3tvouAI4HHAwcD723rm5LJW5KkuVsCrKqqa6pqPXAacFhfmcOAU9vnZwIHJUm7/rSquruqfgCsauubkslbkqS52wW4oWd5dbtu0jJVtQG4Hdh5wH3vZ/4cg53Udy6+aO1222x13SjqBhYAa0dU96bQ5fi7HDuMOP7LRlXxfUYa/2dfNqqaAd874zTq2HcfYd1zcsl3Ljr3kdvPXzCk6h6SZEXP8tKqWjqkumdtJMm7qhaOol6AJCuqavGo6h+1Lsff5djB+Mepy7FDt+PvcuxzVVUHb8LmbgR261netV03WZnVSeYDOwC3DLjv/ThsLknS3C0H9k6yZ5JtaCagnd1X5mzg6Pb54cCXq6ra9Ue2s9H3BPYGvj1dYyPpeUuStCWpqg1JjgPOBeYBJ1fVyiQnAiuq6mzgA8CHkqwCbqVJ8LTlzgCuADYAr6iqe6Zrr4vJe2znGIaky/F3OXYw/nHqcuzQ7fi7HHunVNUyYFnfuhN6nt8FHDHFvv8E/NOgbaXpsUuSpK7wnLckSR3TqeQ906XnNmdJTk5yc5LLxx3LbCXZLclXklyRZGWSV447ptlI8pAk307y3Tb+N407ptlKMi/Jd5J8dtyxzFaSa5NcluSSvp/abPaS7JjkzCRXJbkyydPGHdOgkuzTHvOJx0+TvGrccWk4OjNs3l4q7nvAc2l+wL4cOKqqrhhrYANK8ixgHfDBqtp33PHMRpJHA4+uqouTPBy4CHhBh459gO2ral2SrYGvA6+sqm+NObSBJXk1sBh4RFX93rjjmY0k1wKLq6pzv5NOcirwtar6z3YG8XZV9ZNxxzVb7efnjcBTqmpU1+DQJtSlnvcgl57bbFXVV2lmF3ZOVd1UVRe3z38GXMkMV//ZnFRjXbu4dfvoxrdWIMmuwO8C/znuWLYkSXYAnkUzQ5iqWt/FxN06CPi+ifvBo0vJe9aXj9PwtXfBeRJw4XgjmZ122PkS4GbgvKrqUvz/CvwdcO+4A9lIBXwhyUVJjh13MLOwJ7AG+K/2lMV/Jtl+3EFtpCOBj407CA1Pl5K3xizJw4BPAK+qqp+OO57ZqKp7qmo/misXLUnSiVMXSX4PuLmqLhp3LHPwjKp6Ms3dll7RnkLqgvnAk4H3VdWTgJ8DnZprA9AO9x8KfHzcsWh4upS8Z335OA1Pe674E8BHquqT445nY7XDnl+hue1eFzwdOLQ9b3wa8OwkHx5vSLNTVTe2/94MnMUMd0vajKwGVveM0pxJk8y75hDg4qr68bgD0fB0KXkPcuk5jUA74esDwJVV9a5xxzNbSRYm2bF9/lCaSY9XjTeqwVTVa6tq16rag+Y9/+WqetGYwxpYku3bSY60Q87PAzrxi4uq+hFwQ5J92lUH0VwBq2uOwiHzB53OXGFtqkvPjTmsgSX5GHAgsCDJauANVfWB8UY1sKcDfwpc1p43BnhdezWhLng0cGo743Yr4Iyq6txPrjrqUcBZzfc/5gMfrarPjzekWflr4CNth+Ea4CVjjmdW2i9MzwVGe884bXKd+amYJElqdGnYXJIkYfKWJKlzTN6SJHWMyVuSpI4xeUuS1DEmb0mSOsbkLUlSx5i8NbAkp3TxftKDSHJgewnSaddtjrocu6SNY/LeDPUnySTnJ/n3Tdj+VO29EthsL82Z5LVJalMcqySPa1+nG5Ksb/89L8nR7ZXchtVOklye5F1965+R5M4km82Vs5K8PMkPktzV3kHsmTOUf0WSS5P8tH1ckOR3+8q8sX1Nex8/6ivz2iTL2zrWJPnMdDee2ZTvE2lUTN5bkPYSjxutqm7fXO9nnOSpwLHApZugrRcA3wG2BV4M7AU8n+bGLa9t1w9FNZdA/CfgZUkWtO3vA3waeFdVvX9Ybc1Fkj8G3gO8leaWsd8EPpfkMdPsthr4e5qbfSwGvgx8KskT+spdTXOJ24nHb/RtPxB4L/CbwLOBDcAXkzxykjg32ftEGqmq8rGZPYBTgM/2PK++xx5AaO7x/H3gTuAy4EV99ZwPvA94J819iZfT3E3ra8BtwK0014p/XF/bD2hvkri2pbnP9I+Bu4Bv0dz6sb/999J8oK+luZf2O4Gteso8q913HXA78G1g31kerx3a4/DbbZv/vhHH/EDg2gHWPRFYT3Nt98nqyQjeD1sB32uP46NorrH9odnGPuL37IXAf/St+2/gn2dZz63Ay3qW3whcPss6HgbcA/z+sN8nPnxsLg973pu/VwIXAP/FfT2PG4C3AC8FXgEsAv4ZeH//sCPNMHeAZ9L0ErenSbpLaD7gbwc+09Mrn6q9fm8H/hj4M5qe1mXA55M8uq/cn9D0hH4TOA54VbsfSebT9CC/TpMUn9LGdk+7/Zh2eHOPGY7RUuDMqvrKDOWG4T3A8qp662Qbq2roNwuoqntpEvcrgGXAD2he+6FL8rok62Z4PLNvn22A/YEv9FX3BZrXfZB25yU5kibxfrNv868m+WE7JH9akl+dobqH03zhua1v/aZ8n0gj1Zm7im2pqur2JOuBO6q5ReHEnYJeDTyvqr7WFv1BkiU0H/Dn9FTxg6r6257lK3vrT/IS4Kc0yfzrk7XXr23/r4A/r6pz2nV/STNk+QrgH3uKX1FVJ7TPv5fkL2hurfgx4BHAjsBnqur7bZneW3XeTjNk+oupjk9b315sgnPxSXYHfgs4umfdVsCPgO3aVZ+oqqMn2X2uTgP+jeaYPbuq1s+2giSvpnnfrG1XnVNV/9BX7P8CZ8xQ1Y19ywto7vTXf7/oHwPPmSGm36D5svgQmtGXP6iqy3qKXAgcQ/O++CWa99Y3kzy+qm6Zotr3AJe09U60s8neJ9KmYPLupkU0H3afT9Lb09sauLav7EW9C0l+DXgzTS93IU0PZStgunOT/X6tbesbEyuq6p4kF7Sx9eo/t/hDmg9hqurWJKcA5yb5EvAlmp7R9e32s4CzpgqiPff7Vprh+ikT/BBNnGv9dt/6id7lN2m+bNxPkrcA/Umy329X1fnTbP83mv+vOwP3zhjp5PYFXllVn5iqQFXdSjN0valcDexHM6R9OM2tWw+sqsvbeD7XWzjJt2hOGxwNPODe8u3EvmfQvCcmRnA29ftEGjmHzbtp4nX7fZoPvonH44Hn9ZX9ed/yZ2mS9stoEviTaIa15zSZrUf/sHH/h2XR876rqpe0cXwVOBS4OsnzB2zraTS9vpVJNiTZQNMzfnm7PLSJY62Ht/9umFhRVfdW1SrgFprj+t1J9vtX4HEzPPq/EPyPJG8A/pDm7/05zemHjbEvTY90ShszbE7Tk7+H5nx8r0fRjEpMqarWV9Wqqrqoql7bxvc305RfB6wE9p4k9ncDR9GMTFzTs2lTv0+kkbPn3Q3raYYlJ1wB3A3sXlVfHrSSJDsDjwVePnHeL8mTeeD7oL+9ft9vyzy9fU7786inAR8dNJ4JVfVdmqT3tiSfo+lVnTvArp8CVvSt+y+aiVJvbWMcpsvbf58BrOrbNvHTpAck76pay31D1bOS5KXA8TSnSC5J8nbg9UneU1V3zKKeAPsAn2iecmlVvXiSorMeNq+q9UkuAp4LfLxn03NpZuDPxlZMM1s/yUNo3sNf6Vv/Hpq5FL9dVVf17bap3yfSyJm8u+FaYEk7cWsdzbDmO4F3th/KX6WZ6PNU4N6qWjpFPbfRJJG/SHIDsAvwDnp6klO1106aAqCqfp7kfTTJdi3NBKq/oelpvXfQPyrJnjQjAGfTJIRfBZ5AM0OeJH9AMxHvoKrqP89KNT9bu99P15L8vI338v7yc1VVlyX5NPAv7SStr9KMJDyB5lzyzVW1eljtJfkdmuP5op65Df8BvI7muL17FtXtSTP/4GnTFZrDsPm7gA8l+TbN6ZS/BH6F5ssAAEmOA46rqse2y/+HZn7GDTSjGi+kmUT5uz37vBP4DHA9zemW19NMujy1p8xJwJ8CLwBuS/LL7aZ1VbVuU79PpE3BYfNueCdN7+AKmp98PYbmQ+yNwGtohhHPoxla/cFUlbQJ+I9pks3lwEltPXcP0F6/vwdOp+nBXNLWeXBV3TSLv+sO4Ndpemvfo/lA/gjwtnb7DjS9xa1nUecDzGLW+iD+iCa+44CLaX5+93c0IwVPHEL9ACQ5gKYHfHxV/U9vtqruonl9XjPL4d596ZusOExVdTrNLwn+keb98Azgd6rqup5iC2hezwm/DHyY5rz3l4ADgEP6znPvSjO58WrgkzTv1af21ftymuT/JeCmnsdrhvX3SZubjOCXLdJmJcmbaCZDPbGq+kcZJsocCJxSVXtMt25zNEjsSV4H/KKq3jGGECUNmT1vbQl+B3jFVIl7CzHSnrekTctz3nrQq6oDxh3DuFXVC8cdg6ThsectNa6l+UnXTOs2R9fS3dglbQTPeUuS1DH2vCVJ6hiTtyRJHWPyliSpY0zekiR1jMlbkqSOMXlLktQxJm9Jkjrm/wcmfH9n15z93wAAAABJRU5ErkJggg==\n", 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\n", "text/plain": [ "
" ] @@ -837,8 +867,10 @@ } ], "source": [ + "itr, norm, X_G = read_data_file(\"g02ab.d\")\n", + "\n", "fig1, ax1 = plt.subplots(figsize=(14, 7))\n", - "cax1 = ax1.imshow(abs(X-G), interpolation='none', cmap=plt.cm.Blues, vmin=0, \n", + "cax1 = ax1.imshow(X_G, interpolation='none', cmap=plt.cm.Blues, vmin=0, \n", " vmax=0.2)\n", "cbar = fig1.colorbar(cax1, ticks = np.linspace(0.0, 0.2, 11, endpoint=True), \n", " boundaries=np.linspace(0.0, 0.2, 11, endpoint=True))\n", @@ -847,9 +879,9 @@ " bottom='off', top='off', left='off', right='off', \n", " labelbottom='off', labelleft='off')\n", "\n", - "ax1.set_title(r'$|G-X|$ for corrmat_nearest_bounded', fontsize=16)\n", + "ax1.set_title(r'$|G-X|$ for G02AB', fontsize=16)\n", "plt.xlabel(\n", - " r'Iterations: {0}, $||G-X||_F = {1:.4f}$'.format(itr, np.linalg.norm(X-G)),\n", + " r'Iterations: {0}, $||G-X||_F = {1:.4f}$'.format(itr, norm),\n", " fontsize=14,\n", ") \n", "plt.show()" From 15681f1ed5c4f1a5db2f2a45f6daed7e4bbed826 Mon Sep 17 00:00:00 2001 From: "U-NAGNTD\\christos.efstathiou" Date: Wed, 16 Dec 2020 17:58:47 +0200 Subject: [PATCH 009/196] Added G02AJ to Jupyter Notebook --- nearest_correlation_matrices/H_G02AJ.d | 8 ++ nearest_correlation_matrices/NcmNag.java | 20 +-- nearest_correlation_matrices/X_G02AJ.d | 8 ++ nearest_correlation_matrices/X_eigen_G02AJ.d | 1 + nearest_correlation_matrices/ncm_nag.ipynb | 127 ++++++++++++++----- 5 files changed, 115 insertions(+), 49 deletions(-) create mode 100755 nearest_correlation_matrices/H_G02AJ.d create mode 100755 nearest_correlation_matrices/X_G02AJ.d create mode 100755 nearest_correlation_matrices/X_eigen_G02AJ.d diff --git a/nearest_correlation_matrices/H_G02AJ.d b/nearest_correlation_matrices/H_G02AJ.d new file mode 100755 index 0000000..06b2a26 --- /dev/null +++ b/nearest_correlation_matrices/H_G02AJ.d @@ -0,0 +1,8 @@ +100.0 100.0 100.0 1.0 1.0 1.0 1.0 1.0 +100.0 100.0 100.0 1.0 1.0 1.0 1.0 1.0 +100.0 100.0 100.0 1.0 1.0 1.0 1.0 1.0 +1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 +1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 +1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 +1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 +1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 diff --git a/nearest_correlation_matrices/NcmNag.java b/nearest_correlation_matrices/NcmNag.java index 383d8a1..613044d 100644 --- a/nearest_correlation_matrices/NcmNag.java +++ b/nearest_correlation_matrices/NcmNag.java @@ -211,6 +211,7 @@ public static void main(String[] args) { } } printMatrix(H); + printMatrixToFile(H, "H_G02AJ.d"); System.out.println(); @@ -236,6 +237,7 @@ public static void main(String[] args) { System.out.println("Nearest correlation matrix using element-wise weighting"); printMatrix(X); + printMatrixToFile(X, "X_G02AJ.d"); System.out.println(); @@ -253,11 +255,11 @@ public static void main(String[] args) { work = new double[lwork]; info = 0; f08na.eval(jobvl, jobvr, n, X1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, info); + Arrays.sort(wr); System.out.print("Sorted eigenvalues of X: "); - Arrays.sort(wr); - Arrays.sort(wi); - printComplexVector(wr, wi); + printVector(wr); + printVectorToFile(wr, "X_eigen_G02AJ.d"); System.out.println(); @@ -628,16 +630,4 @@ public static void printVector(double[] a) { } System.out.println(); } - - public static void printComplexVector(double[] r, double[] i) { - if (r.length != i.length) { - System.out.println("Arrays r(" + r.length + ") and i(" + i.length + ") need to have the same length."); - System.exit(-1); - } - - for (int j = 0; j < r.length; j++) { - System.out.printf("%8.4f%+.4fj", r[j], i[j]); - } - System.out.println(); - } } diff --git a/nearest_correlation_matrices/X_G02AJ.d b/nearest_correlation_matrices/X_G02AJ.d new file mode 100755 index 0000000..a8d3ca0 --- /dev/null +++ b/nearest_correlation_matrices/X_G02AJ.d @@ -0,0 +1,8 @@ +1.0 -0.3250537665863338 0.1881418341902057 0.5371131830574982 0.025534475569836054 -0.5892805212332436 -0.06253446585578672 -0.19285191653693995 +-0.3250537665863338 1.0 0.20484097619200775 0.22489933238446663 0.41435692055270595 0.28406991877718313 0.29140523861712275 0.40808279276304027 +0.1881418341902057 0.20484097619200775 1.0 -0.1461829470349747 0.7883463589306307 0.27182086998472504 -0.6083694620689558 0.8804148513960975 +0.5371131830574982 0.22489933238446663 -0.1461829470349747 1.0 0.21383581644037378 -1.8236085752931886E-4 0.606979993040552 -0.21987411467118548 +0.025534475569836054 0.41435692055270595 0.7883463589306307 0.21383581644037378 1.0 0.6566193796715437 -0.2807146680766071 0.8756492796358128 +-0.5892805212332436 0.28406991877718313 0.27182086998472504 -1.8236085752931886E-4 0.6566193796715437 1.0 0.04737540578644875 0.5929601745319638 +-0.06253446585578672 0.29140523861712275 -0.6083694620689558 0.606979993040552 -0.2807146680766071 0.04737540578644875 1.0 -0.44707995176268783 +-0.19285191653693995 0.40808279276304027 0.8804148513960975 -0.21987411467118548 0.8756492796358128 0.5929601745319638 -0.44707995176268783 1.0 diff --git a/nearest_correlation_matrices/X_eigen_G02AJ.d b/nearest_correlation_matrices/X_eigen_G02AJ.d new file mode 100755 index 0000000..10d308d --- /dev/null +++ b/nearest_correlation_matrices/X_eigen_G02AJ.d @@ -0,0 +1 @@ +9.999999999997702E-4 9.999999999999124E-4 0.037510930964740785 0.1733826335965124 0.6881675924398503 1.7105895508241635 1.9223622895788683 3.465987002595862 diff --git a/nearest_correlation_matrices/ncm_nag.ipynb b/nearest_correlation_matrices/ncm_nag.ipynb index 1067fcf..4f9f571 100644 --- a/nearest_correlation_matrices/ncm_nag.ipynb +++ b/nearest_correlation_matrices/ncm_nag.ipynb @@ -618,12 +618,13 @@ "work = new double[lwork];\n", "info = 0;\n", "f08na.eval(jobvl, jobvr, n, X1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, info);\n", + "Arrays.sort(wr);\n", "```" ] }, { "cell_type": "code", - "execution_count": 70, + "execution_count": 95, "metadata": { "nbpresent": { "id": "9737d750-04fe-4a91-933c-a799449e427e" @@ -915,7 +916,7 @@ "* However, this is a more “difficult” problem, and more computationally expensive. \n", "\n", "\n", - "* This is implemented in the NAG routine **library.correg.corrmat_h_weight**.\n", + "* This is implemented in the NAG routine **G02AJ**.\n", "\n", "\n" ] @@ -928,12 +929,32 @@ } }, "source": [ - "### Use corrmat_h_weight to compute the nearest correlation matrix with element-wise weighting" + "### Use G02AJ to compute the nearest correlation matrix with element-wise weighting" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "```java\n", + "// Set up a matrix of weights\n", + "n = P[0].length;\n", + "double[][] H = new double[n][n];\n", + "for (int i = 0; i < n; i++) {\n", + " for (int j = 0; j < n; j++) {\n", + " if ((i < 3) && (j < 3)) {\n", + " H[i][j] = 100.0;\n", + " } else {\n", + " H[i][j] = 1;\n", + " }\n", + " }\n", + "}\n", + "```" ] }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 90, "metadata": { "nbpresent": { "id": "d477130b-e56d-4bab-b0bd-3a1ddf2c328d" @@ -953,26 +974,47 @@ " [ 1., 1., 1., 1., 1., 1., 1., 1.]])" ] }, - "execution_count": 15, + "execution_count": 90, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "# Set up a matrix of weights\n", - "H = np.ones([n, n])\n", - "H[:3, :3] = 100\n", + "H = read_matrix_file(\"H_G02AJ.d\")\n", "H" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "```java\n", + "// Call the NAG routine specifying a minimum eigenvalue\n", + "G02AJ g02aj = new G02AJ();\n", + "G1d = convert2DTo1D(G);\n", + "ldg = G.length;\n", + "n = G[0].length;\n", + "alpha = 0.001;\n", + "double[] H1d = convert2DTo1D(H);\n", + "int ldh = H.length;\n", + "errtol = 0;\n", + "maxit = 0;\n", + "ldx = n;\n", + "X1d = new double[ldx * n];\n", + "iter = 0;\n", + "double norm2 = 0;\n", + "ifail = 0;\n", + "g02aj.eval(G1d, ldg, n, alpha, H1d, ldh, errtol, maxit, X1d, ldx, iter, norm2, ifail);\n", + "\n", + "X = convert1DTo2D(X1d, ldx);\n", + "iter = g02aj.getITER();\n", + "```" + ] + }, { "cell_type": "code", - "execution_count": 16, - "metadata": { - "nbpresent": { - "id": "59164e07-d021-4b2f-8dc8-c526c7e4223c" - } - }, + "execution_count": 91, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -991,40 +1033,55 @@ } ], "source": [ - "# \"Call the NAG routine specifying a minimum eigenvalue \n", - "alpha = 0.001\n", - "X, itr, _ = nl_correg.corrmat_h_weight(G, alpha, H, maxit=200)\n", + "X = read_matrix_file(\"X_G02AJ.d\")\n", "print(\"Nearest correlation matrix using element-wise weighting\\n{}\".format(X))" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "```java\n", + "jobvl = \"N\";\n", + "jobvr = \"N\";\n", + "n = X[0].length;\n", + "lda = X.length;\n", + "wr = new double[n];\n", + "wi = new double[n];\n", + "ldvl = 1;\n", + "vl = new double[ldvl];\n", + "ldvr = 1;\n", + "vr = new double[ldvr];\n", + "lwork = 3 * n;\n", + "work = new double[lwork];\n", + "info = 0;\n", + "f08na.eval(jobvl, jobvr, n, X1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, info);\n", + "Arrays.sort(wr);\n", + "Arrays.sort(wi);\n", + "```" + ] + }, { "cell_type": "code", - "execution_count": 17, - "metadata": { - "nbpresent": { - "id": "a5652370-f1f9-4b64-b5e6-9d5869e82366" - } - }, + "execution_count": 124, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Sorted eigenvalues of X [0.0010-0.0000j 0.0010+0.0000j 0.0375+0.0000j 0.1734+0.0000j 0.6882+0.0000j 1.7106+0.0000j 1.9224+0.0000j 3.4660+0.0000j ]\n" + "Sorted eigenvalues of X [[0.001 0.001 0.0375 0.1734 0.6882 1.7106 1.9224 3.466 ]]\n" ] } ], "source": [ - "print(\"Sorted eigenvalues of X [{0}]\".format(\n", - " ''.join(\n", - " ['{:.4f} '.format(x) for x in np.sort(np.linalg.eig(X)[0])]\n", - " )\n", - "))" + "X_eigen = read_matrix_file(\"X_eigen_G02AJ.d\")\n", + "print(\"Sorted eigenvalues of X {}\".format(X_eigen))" ] }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 125, "metadata": { "nbpresent": { "id": "e07e5a46-5f1d-49ef-9ae7-20b944efd9fb" @@ -1033,7 +1090,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] @@ -1045,8 +1102,10 @@ } ], "source": [ + "itr, norm, X_G = read_data_file(\"g02ab.d\")\n", + "\n", "fig1, ax1 = plt.subplots(figsize=(14, 7))\n", - "cax1 = ax1.imshow(abs(X-G), interpolation='none', cmap=plt.cm.Blues, vmin=0, \n", + "cax1 = ax1.imshow(X_G, interpolation='none', cmap=plt.cm.Blues, vmin=0, \n", " vmax=0.2)\n", "cbar = fig1.colorbar(cax1, ticks = np.linspace(0.0, 0.2, 11, endpoint=True), \n", " boundaries=np.linspace(0.0, 0.2, 11, endpoint=True))\n", @@ -1055,9 +1114,9 @@ " bottom='off', top='off', left='off', right='off', \n", " labelbottom='off', labelleft='off')\n", "\n", - "ax1.set_title(r'$|G-X|$ for corrmat_h_weight', fontsize=16)\n", + "ax1.set_title(r'$|G-X|$ for G02AJ', fontsize=16)\n", "plt.xlabel(\n", - " r'Iterations: {0}, $||G-X||_F = {1:.4f}$'.format(itr, np.linalg.norm(X-G)),\n", + " r'Iterations: {0}, $||G-X||_F = {1:.4f}$'.format(itr, norm),\n", " fontsize=14,\n", ") \n", "plt.show()" From 55a721af9826df8a4f8fb083fae7bf3f9914ab4e Mon Sep 17 00:00:00 2001 From: "U-NAGNTD\\christos.efstathiou" Date: Wed, 16 Dec 2020 18:19:36 +0200 Subject: [PATCH 010/196] Added G02AN to Jupyter Notebook --- nearest_correlation_matrices/NcmNag.java | 5 +- nearest_correlation_matrices/X_G02AN.d | 8 ++ nearest_correlation_matrices/X_eigen_G02AN.d | 1 + nearest_correlation_matrices/alpha_G02AN.d | 1 + nearest_correlation_matrices/ncm_nag.ipynb | 125 +++++++++++++------ 5 files changed, 101 insertions(+), 39 deletions(-) create mode 100755 nearest_correlation_matrices/X_G02AN.d create mode 100755 nearest_correlation_matrices/X_eigen_G02AN.d create mode 100755 nearest_correlation_matrices/alpha_G02AN.d diff --git a/nearest_correlation_matrices/NcmNag.java b/nearest_correlation_matrices/NcmNag.java index 613044d..291862b 100644 --- a/nearest_correlation_matrices/NcmNag.java +++ b/nearest_correlation_matrices/NcmNag.java @@ -301,6 +301,7 @@ public static void main(String[] args) { System.out.println("Nearest correlation matrix with fixed leading block"); printMatrix(X); + printMatrixToFile(X, "X_G02AN.d"); System.out.println(); @@ -318,12 +319,14 @@ public static void main(String[] args) { work = new double[lwork]; info = 0; f08na.eval(jobvl, jobvr, n, X1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, info); + Arrays.sort(wr); System.out.print("Sorted eigenvalues of X: "); - Arrays.sort(wr); printVector(wr); + printVectorToFile(wr, "X_eigen_G02AN.d"); System.out.printf("Value of alpha returned: %.4f\n", alpha); + printVectorToFile(new double[]{alpha}, "alpha_G02AN.d"); System.out.println(); diff --git a/nearest_correlation_matrices/X_G02AN.d b/nearest_correlation_matrices/X_G02AN.d new file mode 100755 index 0000000..9197e94 --- /dev/null +++ b/nearest_correlation_matrices/X_G02AN.d @@ -0,0 +1,8 @@ +1.0 -0.3250029917945835 0.18814425997629136 0.46060526762809 0.00512111817298847 -0.4887229642049529 -0.05790536742916771 -0.12710533688852702 +-0.3250029917945835 1.0 0.20484152654833515 0.1948219050550659 0.32454984893978395 0.21834256258510287 0.22942701372832805 0.3391392886204044 +0.18814425997629136 0.20484152654833515 1.0 -0.10596751792243746 0.6124326539394441 0.22109852023486867 -0.49358006312793756 0.7202132326274232 +0.46060526762809 0.1948219050550659 -0.10596751792243746 1.0 0.24319333281783698 0.010073707194754084 0.5159525721067164 -0.2567324055972704 +0.00512111817298847 0.32454984893978395 0.6124326539394441 0.24319333281783698 1.0 0.5319788405341761 -0.26337702263860246 0.7948743038334822 +-0.4887229642049529 0.21834256258510287 0.22109852023486867 0.010073707194754084 0.5319788405341761 1.0 0.03932451736851099 0.4769262311870878 +-0.05790536742916771 0.22942701372832805 -0.49358006312793756 0.5159525721067164 -0.26337702263860246 0.03932451736851099 1.0 -0.3185151588457599 +-0.12710533688852702 0.3391392886204044 0.7202132326274232 -0.2567324055972704 0.7948743038334822 0.4769262311870878 -0.3185151588457599 1.0 diff --git a/nearest_correlation_matrices/X_eigen_G02AN.d b/nearest_correlation_matrices/X_eigen_G02AN.d new file mode 100755 index 0000000..26ccdd2 --- /dev/null +++ b/nearest_correlation_matrices/X_eigen_G02AN.d @@ -0,0 +1 @@ +1.4134713692893524E-9 0.13753724988136337 0.2743711328835331 0.3803668326795735 0.7768482873688412 1.6263475038033162 1.768932428977788 3.0355965629921156 diff --git a/nearest_correlation_matrices/alpha_G02AN.d b/nearest_correlation_matrices/alpha_G02AN.d new file mode 100755 index 0000000..ca71ea2 --- /dev/null +++ b/nearest_correlation_matrices/alpha_G02AN.d @@ -0,0 +1 @@ +0.20026985555887222 diff --git a/nearest_correlation_matrices/ncm_nag.ipynb b/nearest_correlation_matrices/ncm_nag.ipynb index 4f9f571..a35ca6f 100644 --- a/nearest_correlation_matrices/ncm_nag.ipynb +++ b/nearest_correlation_matrices/ncm_nag.ipynb @@ -1135,7 +1135,7 @@ "* We probably really wish to *fix* our leading block of true correlations, so it does not change at all.\n", "\n", "\n", - "* We have the NAG routine **library.correg.corrmat_shrinking**.\n", + "* We have the NAG routine **G02AN**.\n", "\n", "\n", "* This routine fixes a leading block, which we require to be positive definite.\n", @@ -1170,17 +1170,41 @@ } }, "source": [ - "### Use corrmat_shrinking to compute the nearest correlation matrix with fixed leading block" + "### Use G02AN to compute the nearest correlation matrix with fixed leading block" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "```java\n", + "// Call the NAG routine fixing the top 3-by-3 block\n", + "G02AN g02an = new G02AN();\n", + "G1d = convert2DTo1D(G);\n", + "ldg = G.length;\n", + "n = G[0].length;\n", + "int k = 3;\n", + "errtol = 0;\n", + "double eigtol = 0;\n", + "ldx = n;\n", + "X1d = new double[ldx * n];\n", + "alpha = 0.001;\n", + "iter = 0;\n", + "double eigmin = 0;\n", + "norm2 = 0;\n", + "ifail = 0; \n", + "g02an.eval(G1d, ldg, n, k, errtol, eigtol, X1d, ldx, alpha, iter, eigmin, norm2, ifail);\n", + "\n", + "X = convert1DTo2D(X1d, ldx);\n", + "iter = g02an.getITER();\n", + "alpha = g02an.getALPHA();\n", + "```" ] }, { "cell_type": "code", - "execution_count": 19, - "metadata": { - "nbpresent": { - "id": "9e7248c0-f11a-4cd7-8454-3545797ad928" - } - }, + "execution_count": 127, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -1199,12 +1223,54 @@ } ], "source": [ - "# Call the NAG routine fixing the top 3-by-3 block\n", - "k = 3\n", - "X, alpha, itr, _, _ = nl_correg.corrmat_shrinking(G, k)\n", + "X = read_matrix_file(\"X_G02AN.d\")\n", "print(\"Nearest correlation matrix with fixed leading block \\n{}\".format(X))" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "```java\n", + "jobvl = \"N\";\n", + "jobvr = \"N\";\n", + "n = X[0].length;\n", + "lda = X.length;\n", + "wr = new double[n];\n", + "wi = new double[n];\n", + "ldvl = 1;\n", + "vl = new double[ldvl];\n", + "ldvr = 1;\n", + "vr = new double[ldvr];\n", + "lwork = 3 * n;\n", + "work = new double[lwork];\n", + "info = 0;\n", + "f08na.eval(jobvl, jobvr, n, X1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, info);\n", + "Arrays.sort(wr);\n", + "```" + ] + }, + { + "cell_type": "code", + "execution_count": 133, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Sorted eigenvalues of X [[0. 0.1375 0.2744 0.3804 0.7768 1.6263 1.7689 3.0356]]\n", + "Value of alpha returned: [0.2003]\n" + ] + } + ], + "source": [ + "X_eigen = read_matrix_file(\"X_eigen_G02AN.d\")\n", + "print(\"Sorted eigenvalues of X {}\".format(X_eigen))\n", + "alpha = read_matrix_file(\"alpha_G02AN.d\")\n", + "print(\"Value of alpha returned: {}\".format(alpha[0]))" + ] + }, { "cell_type": "code", "execution_count": 20, @@ -1234,7 +1300,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 134, "metadata": { "nbpresent": { "id": "4dfd2936-1a71-4f33-b4df-8f271e6caae4" @@ -1243,7 +1309,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] @@ -1255,8 +1321,10 @@ } ], "source": [ + "itr, norm, X_G = read_data_file(\"g02an.d\")\n", + "\n", "fig1, ax1 = plt.subplots(figsize=(14, 7))\n", - "cax1 = ax1.imshow(abs(X-G), interpolation='none', cmap=plt.cm.Blues, vmin=0, \n", + "cax1 = ax1.imshow(X_G, interpolation='none', cmap=plt.cm.Blues, vmin=0, \n", " vmax=0.2)\n", "cbar = fig1.colorbar(cax1, ticks = np.linspace(0.0, 0.2, 11, endpoint=True),\n", " boundaries=np.linspace(0.0, 0.2, 11, endpoint=True))\n", @@ -1265,9 +1333,9 @@ " bottom='off', top='off', left='off', right='off', \n", " labelbottom='off', labelleft='off')\n", "\n", - "ax1.set_title(r'$|G-X|$ for corrmat_shrinking', fontsize=16)\n", + "ax1.set_title(r'$|G-X|$ for G02AN', fontsize=16)\n", "plt.xlabel(\n", - " r'Iterations: {0}, $||G-X||_F = {1:.4f}$'.format(itr, np.linalg.norm(X-G)),\n", + " r'Iterations: {0}, $||G-X||_F = {1:.4f}$'.format(itr, norm),\n", " fontsize=14,\n", ") \n", "plt.show()" @@ -1283,7 +1351,7 @@ "source": [ "# Fixing Arbitrary Elements\n", "\n", - "* The routine **library.correg.corrmat_target** fixes arbitrary elements by finding the smallest α, such that *X* is a true correlation matrix in:\n", + "* The routine **G02AP** fixes arbitrary elements by finding the smallest α, such that *X* is a true correlation matrix in:\n", "\n", "\n", "$$ X = \\large \\alpha T+(1-\\alpha)G, \\quad T = H \\circ G, \\quad h_{ij} \\in [0,1] $$\n", @@ -1353,30 +1421,11 @@ "collapsed": true }, "source": [ - "# More on using the NAG Library for *Python*:\n", + "# More on using the NAG Library for *Java*:\n", "\n", "\n", - "**https://www.nag.com/nag-library-python ** \n" + "**https://www.nag.com/content/nag-library-for-java** \n" ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "``` java\n", - "public class Hello {\n", - " public static void main(String[] args) {\n", - " }\n", - "}\n", - "```" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { From 1ffe316ed4ef0e9644cce62fccfcb1a39ac05e35 Mon Sep 17 00:00:00 2001 From: "U-NAGNTD\\christos.efstathiou" Date: Thu, 17 Dec 2020 11:34:13 +0200 Subject: [PATCH 011/196] Moved data files to data folder and added final touches to Ncm --- nearest_correlation_matrices/NcmNag.java | 20 ++- nearest_correlation_matrices/Readme.md | 3 +- nearest_correlation_matrices/{ => data}/G.d | 0 .../{g02aa.d => data/G02AA.d} | 0 .../{g02ab.d => data/G02AB.d} | 0 .../{g02aj.d => data/G02AJ.d} | 0 .../{g02an.d => data/G02AN.d} | 0 .../{ => data}/G_eigen.d | 0 .../{ => data}/H_G02AJ.d | 0 .../{ => data}/X_G02AA.d | 0 .../{ => data}/X_G02AB.d | 0 .../{ => data}/X_G02AJ.d | 0 .../{ => data}/X_G02AN.d | 0 .../{ => data}/X_eigen_G02AA.d | 0 .../{ => data}/X_eigen_G02AB.d | 0 .../{ => data}/X_eigen_G02AJ.d | 0 .../{ => data}/X_eigen_G02AN.d | 0 .../{ => data}/alpha_G02AN.d | 0 nearest_correlation_matrices/ncm_nag.ipynb | 124 +++++++----------- nearest_correlation_matrices/output.txt | 70 ++++++++++ .../|G-X| for G02AA.png | Bin 7234 -> 0 bytes 21 files changed, 135 insertions(+), 82 deletions(-) rename nearest_correlation_matrices/{ => data}/G.d (100%) rename nearest_correlation_matrices/{g02aa.d => data/G02AA.d} (100%) mode change 100644 => 100755 rename nearest_correlation_matrices/{g02ab.d => data/G02AB.d} (100%) mode change 100644 => 100755 rename nearest_correlation_matrices/{g02aj.d => data/G02AJ.d} (100%) mode change 100644 => 100755 rename nearest_correlation_matrices/{g02an.d => data/G02AN.d} (100%) mode change 100644 => 100755 rename nearest_correlation_matrices/{ => data}/G_eigen.d (100%) rename nearest_correlation_matrices/{ => data}/H_G02AJ.d (100%) rename nearest_correlation_matrices/{ => data}/X_G02AA.d (100%) rename nearest_correlation_matrices/{ => data}/X_G02AB.d (100%) rename nearest_correlation_matrices/{ => data}/X_G02AJ.d (100%) rename nearest_correlation_matrices/{ => data}/X_G02AN.d (100%) rename nearest_correlation_matrices/{ => data}/X_eigen_G02AA.d (100%) rename nearest_correlation_matrices/{ => data}/X_eigen_G02AB.d (100%) rename nearest_correlation_matrices/{ => data}/X_eigen_G02AJ.d (100%) rename nearest_correlation_matrices/{ => data}/X_eigen_G02AN.d (100%) rename nearest_correlation_matrices/{ => data}/alpha_G02AN.d (100%) create mode 100755 nearest_correlation_matrices/output.txt delete mode 100644 nearest_correlation_matrices/|G-X| for G02AA.png diff --git a/nearest_correlation_matrices/NcmNag.java b/nearest_correlation_matrices/NcmNag.java index 291862b..f3c30c8 100644 --- a/nearest_correlation_matrices/NcmNag.java +++ b/nearest_correlation_matrices/NcmNag.java @@ -13,6 +13,8 @@ import java.io.FileWriter; public class NcmNag { + + public static String dataFolder = "data"; public static void main(String[] args) { // Initialize our P matrix of observations @@ -64,6 +66,7 @@ public static void main(String[] args) { System.out.println(); + // Nearest Correlation Matrices // Using G02AA to compute the nearest correlation matrix in the Frobenius norm @@ -125,7 +128,8 @@ public static void main(String[] args) { work = new double[n]; double X_G_norm = f06rc.eval(norm, uplo, n, X_G1d, lda, work); - printDataToFile("g02aa.d", iter, X_G, X_G_norm); + printDataToFile("G02AA.d", iter, X_G, X_G_norm); + // Weighting rows and columns of elements @@ -192,7 +196,8 @@ public static void main(String[] args) { work = new double[n]; X_G_norm = f06rc.eval(norm, uplo, n, X_G1d, lda, work); - printDataToFile("g02ab.d", iter, X_G, X_G_norm); + printDataToFile("G02AB.d", iter, X_G, X_G_norm); + // Weighting Individual Elements @@ -272,8 +277,9 @@ public static void main(String[] args) { work = new double[n]; X_G_norm = f06rc.eval(norm, uplo, n, X_G1d, lda, work); - printDataToFile("g02aj.d", iter, X_G, X_G_norm); + printDataToFile("G02AJ.d", iter, X_G, X_G_norm); + // Fixing a Block of Elements // Use G02AN to compute the nearest correlation matrix with fixed leading block @@ -339,7 +345,7 @@ public static void main(String[] args) { work = new double[n]; X_G_norm = f06rc.eval(norm, uplo, n, X_G1d, lda, work); - printDataToFile("g02an.d", iter, X_G, X_G_norm); + printDataToFile("G02AN.d", iter, X_G, X_G_norm); } @@ -423,7 +429,7 @@ public static double[][] cor_bar(double[][] P) { public static void printDataToFile(String fileName, int iter, double[][] X_G, double X_G_norm) { double[][] absX_G = matrixAbs(X_G); try { - FileWriter writer = new FileWriter(new File(fileName)); + FileWriter writer = new FileWriter(new File(dataFolder + File.separator + fileName)); writer.write(iter + "\n"); writer.write(X_G_norm + "\n"); for (int i = 0; i < X_G.length; i++) { @@ -599,7 +605,7 @@ public static void printMatrix(double[][] a) { public static void printMatrixToFile(double[][] a, String fileName) { try { - FileWriter writer = new FileWriter(new File(fileName)); + FileWriter writer = new FileWriter(new File(dataFolder + File.separator + fileName)); for (int i = 0; i < a.length; i++) { for (int j = 0; j < a[0].length; j++) { writer.write(a[i][j] + " "); @@ -615,7 +621,7 @@ public static void printMatrixToFile(double[][] a, String fileName) { public static void printVectorToFile(double[] a, String fileName) { try { - FileWriter writer = new FileWriter(new File(fileName)); + FileWriter writer = new FileWriter(new File(dataFolder + File.separator + fileName)); for (int i = 0; i < a.length; i++) { writer.write(a[i] + " "); } diff --git a/nearest_correlation_matrices/Readme.md b/nearest_correlation_matrices/Readme.md index f5d71c9..32e96c4 100644 --- a/nearest_correlation_matrices/Readme.md +++ b/nearest_correlation_matrices/Readme.md @@ -2,4 +2,5 @@ * [ncm_whitepaper_2019.pdf](./ncm_whitepaper_2019.pdf) Nearest Correlation Matrices whitepaper * [ncm_nag.ipynb](./ncm_nag.ipynb) Nearest Correlation Matrices Tutorial - +* [NcmNag.java](./NcmNag.java) Nearest Correlation Matrices Java Source File +* [output.txt](./output.txt) Output of NcmNag.java diff --git a/nearest_correlation_matrices/G.d b/nearest_correlation_matrices/data/G.d similarity index 100% rename from nearest_correlation_matrices/G.d rename to nearest_correlation_matrices/data/G.d diff --git a/nearest_correlation_matrices/g02aa.d b/nearest_correlation_matrices/data/G02AA.d old mode 100644 new mode 100755 similarity index 100% rename from nearest_correlation_matrices/g02aa.d rename to nearest_correlation_matrices/data/G02AA.d diff --git a/nearest_correlation_matrices/g02ab.d b/nearest_correlation_matrices/data/G02AB.d old mode 100644 new mode 100755 similarity index 100% rename from nearest_correlation_matrices/g02ab.d rename to nearest_correlation_matrices/data/G02AB.d diff --git a/nearest_correlation_matrices/g02aj.d b/nearest_correlation_matrices/data/G02AJ.d old mode 100644 new mode 100755 similarity index 100% rename from nearest_correlation_matrices/g02aj.d rename to nearest_correlation_matrices/data/G02AJ.d diff --git a/nearest_correlation_matrices/g02an.d b/nearest_correlation_matrices/data/G02AN.d old mode 100644 new mode 100755 similarity index 100% rename from nearest_correlation_matrices/g02an.d rename to nearest_correlation_matrices/data/G02AN.d diff --git a/nearest_correlation_matrices/G_eigen.d b/nearest_correlation_matrices/data/G_eigen.d similarity index 100% rename from nearest_correlation_matrices/G_eigen.d rename to nearest_correlation_matrices/data/G_eigen.d diff --git a/nearest_correlation_matrices/H_G02AJ.d b/nearest_correlation_matrices/data/H_G02AJ.d similarity index 100% rename from nearest_correlation_matrices/H_G02AJ.d rename to nearest_correlation_matrices/data/H_G02AJ.d diff --git a/nearest_correlation_matrices/X_G02AA.d b/nearest_correlation_matrices/data/X_G02AA.d similarity index 100% rename from nearest_correlation_matrices/X_G02AA.d rename to nearest_correlation_matrices/data/X_G02AA.d diff --git a/nearest_correlation_matrices/X_G02AB.d b/nearest_correlation_matrices/data/X_G02AB.d similarity index 100% rename from nearest_correlation_matrices/X_G02AB.d rename to nearest_correlation_matrices/data/X_G02AB.d diff --git a/nearest_correlation_matrices/X_G02AJ.d b/nearest_correlation_matrices/data/X_G02AJ.d similarity index 100% rename from nearest_correlation_matrices/X_G02AJ.d rename to nearest_correlation_matrices/data/X_G02AJ.d diff --git a/nearest_correlation_matrices/X_G02AN.d b/nearest_correlation_matrices/data/X_G02AN.d similarity index 100% rename from nearest_correlation_matrices/X_G02AN.d rename to nearest_correlation_matrices/data/X_G02AN.d diff --git a/nearest_correlation_matrices/X_eigen_G02AA.d b/nearest_correlation_matrices/data/X_eigen_G02AA.d similarity index 100% rename from nearest_correlation_matrices/X_eigen_G02AA.d rename to nearest_correlation_matrices/data/X_eigen_G02AA.d diff --git a/nearest_correlation_matrices/X_eigen_G02AB.d b/nearest_correlation_matrices/data/X_eigen_G02AB.d similarity index 100% rename from nearest_correlation_matrices/X_eigen_G02AB.d rename to nearest_correlation_matrices/data/X_eigen_G02AB.d diff --git a/nearest_correlation_matrices/X_eigen_G02AJ.d b/nearest_correlation_matrices/data/X_eigen_G02AJ.d similarity index 100% rename from nearest_correlation_matrices/X_eigen_G02AJ.d rename to nearest_correlation_matrices/data/X_eigen_G02AJ.d diff --git a/nearest_correlation_matrices/X_eigen_G02AN.d b/nearest_correlation_matrices/data/X_eigen_G02AN.d similarity index 100% rename from nearest_correlation_matrices/X_eigen_G02AN.d rename to nearest_correlation_matrices/data/X_eigen_G02AN.d diff --git a/nearest_correlation_matrices/alpha_G02AN.d b/nearest_correlation_matrices/data/alpha_G02AN.d similarity index 100% rename from nearest_correlation_matrices/alpha_G02AN.d rename to nearest_correlation_matrices/data/alpha_G02AN.d diff --git a/nearest_correlation_matrices/ncm_nag.ipynb b/nearest_correlation_matrices/ncm_nag.ipynb index a35ca6f..759f6b9 100644 --- a/nearest_correlation_matrices/ncm_nag.ipynb +++ b/nearest_correlation_matrices/ncm_nag.ipynb @@ -10,9 +10,10 @@ "source": [ "# Nearest Correlation Matrices\n", "\n", - "This notebook looks at computing *nearest correlation matrices* using the NAG Library for *Python*.\n", + "This notebook looks at computing *nearest correlation matrices* using the NAG Library for *Java*.\n", "\n", - "\n" + "All the calculations happen in the [NcmNag.java](./NcmNag.java) file and they are presented here using *Python*.\n", + "For a better understanding, it is suggested to have open NcmNag.java to look up the different functions used." ] }, { @@ -177,7 +178,7 @@ "S_{3,4} & = \\large \\frac{1}{6} (v_1 - \\bar{v}_1 )^T(v_2 - \\bar{v}_2) \n", "\\end{align*}\n", "\n", - "* Let's compute this in Python.\n" + "* Let's compute this in Java.\n" ] }, { @@ -188,12 +189,12 @@ } }, "source": [ - "### Import required modules, set print options and define the read_file functions" + "### Import required modules, set print options and define the read_file functions for *Python*" ] }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": { "nbpresent": { "id": "bbde4683-adc6-4094-891a-5487f24b873e" @@ -202,45 +203,47 @@ "outputs": [], "source": [ "import numpy as np\n", - "#from naginterfaces.library import correg as nl_correg\n", "import matplotlib.pyplot as plt\n", + "from pathlib import Path\n", "# Set the print precision\n", "np.set_printoptions(precision=4, suppress=True)" ] }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Select the display backend for Jupyter:\n", - "%matplotlib inline" + "%matplotlib inline\n", + "# Set the data folder path\n", + "data_folder = Path(\"data\")" ] }, { "cell_type": "code", - "execution_count": 63, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def read_matrix_file(fname):\n", - " with open(fname) as fdata:\n", + " with open(data_folder / fname) as fdata:\n", " a = np.array([line.split() for line in fdata], dtype = np.float64)\n", " return a" ] }, { "cell_type": "code", - "execution_count": 78, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def read_data_file(fname):\n", - " with open(fname) as fdata:\n", + " with open(data_folder / fname) as fdata:\n", " for i, line in enumerate(fdata):\n", " if i == 0:\n", - " itr = float(line)\n", + " itr = int(line)\n", " elif i == 1:\n", " norm = float(line)\n", " elif i == 2:\n", @@ -405,7 +408,7 @@ }, { "cell_type": "code", - "execution_count": 64, + "execution_count": 5, "metadata": { "nbpresent": { "id": "f417663e-badf-45d3-8f98-0647907657de" @@ -474,7 +477,7 @@ }, { "cell_type": "code", - "execution_count": 66, + "execution_count": 6, "metadata": { "nbpresent": { "id": "b1c83af0-e6ca-42cc-a0ca-50276ebe4f67" @@ -485,13 +488,13 @@ "name": "stdout", "output_type": "stream", "text": [ - "Sorted eigenvalues of G [[-0.2498 -0.016 0.0895 0.2192 0.7072 1.7534 1.9611 3.5355]]\n" + "Sorted eigenvalues of G [-0.2498 -0.016 0.0895 0.2192 0.7072 1.7534 1.9611 3.5355]\n" ] } ], "source": [ "G_eigen = read_matrix_file(\"G_eigen.d\")\n", - "print(\"Sorted eigenvalues of G {}\".format(G_eigen))" + "print(\"Sorted eigenvalues of G {}\".format(G_eigen[0]))" ] }, { @@ -571,7 +574,7 @@ }, { "cell_type": "code", - "execution_count": 82, + "execution_count": 7, "metadata": { "nbpresent": { "id": "9d1819cb-4c08-4d0b-8cbe-d9de4ab61a0f" @@ -624,7 +627,7 @@ }, { "cell_type": "code", - "execution_count": 95, + "execution_count": 8, "metadata": { "nbpresent": { "id": "9737d750-04fe-4a91-933c-a799449e427e" @@ -635,18 +638,18 @@ "name": "stdout", "output_type": "stream", "text": [ - "Sorted eigenvalues of X [[-0. 0. 0.038 0.1731 0.6894 1.7117 1.9217 3.4661]]\n" + "Sorted eigenvalues of X [-0. 0. 0.038 0.1731 0.6894 1.7117 1.9217 3.4661]\n" ] } ], "source": [ "X_eigen = read_matrix_file(\"X_eigen_G02AA.d\")\n", - "print(\"Sorted eigenvalues of X {}\".format(X_eigen))" + "print(\"Sorted eigenvalues of X {}\".format(X_eigen[0]))" ] }, { "cell_type": "code", - "execution_count": 88, + "execution_count": 9, "metadata": { "nbpresent": { "id": "85008295-2019-4aae-8de4-10440d7b1192" @@ -655,7 +658,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -667,7 +670,7 @@ } ], "source": [ - "itr, norm, X_G = read_data_file(\"g02aa.d\")\n", + "itr, norm, X_G = read_data_file(\"G02AA.d\")\n", "\n", "# Plot the difference between G and X as a small shaded square for each element\n", "fig1, ax1 = plt.subplots(figsize=(14, 7))\n", @@ -780,7 +783,7 @@ }, { "cell_type": "code", - "execution_count": 84, + "execution_count": 10, "metadata": {}, "outputs": [ { @@ -829,25 +832,25 @@ }, { "cell_type": "code", - "execution_count": 86, + "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Sorted eigenvalues of X [[0.001 0.001 0.0305 0.1646 0.6764 1.7716 1.891 3.4639]]\n" + "Sorted eigenvalues of X [0.001 0.001 0.0305 0.1646 0.6764 1.7716 1.891 3.4639]\n" ] } ], "source": [ "X_eigen = read_matrix_file(\"X_eigen_G02AB.d\")\n", - "print(\"Sorted eigenvalues of X {}\".format(X_eigen))" + "print(\"Sorted eigenvalues of X {}\".format(X_eigen[0]))" ] }, { "cell_type": "code", - "execution_count": 89, + "execution_count": 12, "metadata": { "nbpresent": { "id": "f769cb44-ca59-43ad-a0b6-29e394f2557e" @@ -856,7 +859,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -868,7 +871,7 @@ } ], "source": [ - "itr, norm, X_G = read_data_file(\"g02ab.d\")\n", + "itr, norm, X_G = read_data_file(\"G02AB.d\")\n", "\n", "fig1, ax1 = plt.subplots(figsize=(14, 7))\n", "cax1 = ax1.imshow(X_G, interpolation='none', cmap=plt.cm.Blues, vmin=0, \n", @@ -954,7 +957,7 @@ }, { "cell_type": "code", - "execution_count": 90, + "execution_count": 13, "metadata": { "nbpresent": { "id": "d477130b-e56d-4bab-b0bd-3a1ddf2c328d" @@ -974,7 +977,7 @@ " [ 1., 1., 1., 1., 1., 1., 1., 1.]])" ] }, - "execution_count": 90, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -1013,7 +1016,7 @@ }, { "cell_type": "code", - "execution_count": 91, + "execution_count": 14, "metadata": {}, "outputs": [ { @@ -1063,25 +1066,25 @@ }, { "cell_type": "code", - "execution_count": 124, + "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Sorted eigenvalues of X [[0.001 0.001 0.0375 0.1734 0.6882 1.7106 1.9224 3.466 ]]\n" + "Sorted eigenvalues of X [0.001 0.001 0.0375 0.1734 0.6882 1.7106 1.9224 3.466 ]\n" ] } ], "source": [ "X_eigen = read_matrix_file(\"X_eigen_G02AJ.d\")\n", - "print(\"Sorted eigenvalues of X {}\".format(X_eigen))" + "print(\"Sorted eigenvalues of X {}\".format(X_eigen[0]))" ] }, { "cell_type": "code", - "execution_count": 125, + "execution_count": 16, "metadata": { "nbpresent": { "id": "e07e5a46-5f1d-49ef-9ae7-20b944efd9fb" @@ -1090,7 +1093,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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" ] @@ -1102,7 +1105,7 @@ } ], "source": [ - "itr, norm, X_G = read_data_file(\"g02ab.d\")\n", + "itr, norm, X_G = read_data_file(\"G02AJ.d\")\n", "\n", "fig1, ax1 = plt.subplots(figsize=(14, 7))\n", "cax1 = ax1.imshow(X_G, interpolation='none', cmap=plt.cm.Blues, vmin=0, \n", @@ -1203,7 +1206,7 @@ }, { "cell_type": "code", - "execution_count": 127, + "execution_count": 17, "metadata": {}, "outputs": [ { @@ -1252,55 +1255,28 @@ }, { "cell_type": "code", - "execution_count": 133, + "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Sorted eigenvalues of X [[0. 0.1375 0.2744 0.3804 0.7768 1.6263 1.7689 3.0356]]\n", + "Sorted eigenvalues of X [0. 0.1375 0.2744 0.3804 0.7768 1.6263 1.7689 3.0356]\n", "Value of alpha returned: [0.2003]\n" ] } ], "source": [ "X_eigen = read_matrix_file(\"X_eigen_G02AN.d\")\n", - "print(\"Sorted eigenvalues of X {}\".format(X_eigen))\n", + "print(\"Sorted eigenvalues of X {}\".format(X_eigen[0]))\n", "alpha = read_matrix_file(\"alpha_G02AN.d\")\n", "print(\"Value of alpha returned: {}\".format(alpha[0]))" ] }, { "cell_type": "code", - "execution_count": 20, - "metadata": { - "nbpresent": { - "id": "3eadfa7e-67da-4128-89cc-641d720a8679" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Sorted eigenvalues of X [0.0000 0.1375 0.2744 0.3804 0.7768 1.6263 1.7689 3.0356 ]\n", - "Value of alpha returned: 0.2003\n" - ] - } - ], - "source": [ - "print(\"Sorted eigenvalues of X [{0}]\".format(\n", - " ''.join(\n", - " ['{:.4f} '.format(x) for x in np.sort(np.linalg.eig(X)[0])]\n", - " )\n", - "))\n", - "print(\"Value of alpha returned: {:.4f}\".format(alpha))" - ] - }, - { - "cell_type": "code", - "execution_count": 134, + "execution_count": 19, "metadata": { "nbpresent": { "id": "4dfd2936-1a71-4f33-b4df-8f271e6caae4" @@ -1309,7 +1285,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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"text/plain": [ "
" ] @@ -1321,7 +1297,7 @@ } ], "source": [ - "itr, norm, X_G = read_data_file(\"g02an.d\")\n", + "itr, norm, X_G = read_data_file(\"G02AN.d\")\n", "\n", "fig1, ax1 = plt.subplots(figsize=(14, 7))\n", "cax1 = ax1.imshow(X_G, interpolation='none', cmap=plt.cm.Blues, vmin=0, \n", diff --git a/nearest_correlation_matrices/output.txt b/nearest_correlation_matrices/output.txt new file mode 100755 index 0000000..08a1ffe --- /dev/null +++ b/nearest_correlation_matrices/output.txt @@ -0,0 +1,70 @@ +The approximate correlation matrix + 1.0000 -0.3250 0.1881 0.5760 0.0064 -0.6111 -0.0724 -0.1589 + -0.3250 1.0000 0.2048 0.2436 0.4058 0.2730 0.2869 0.4241 + 0.1881 0.2048 1.0000 -0.1325 0.7658 0.2765 -0.6172 0.9006 + 0.5760 0.2436 -0.1325 1.0000 0.3041 0.0126 0.6452 -0.3210 + 0.0064 0.4058 0.7658 0.3041 1.0000 0.6652 -0.3293 0.9939 + -0.6111 0.2730 0.2765 0.0126 0.6652 1.0000 0.0492 0.5964 + -0.0724 0.2869 -0.6172 0.6452 -0.3293 0.0492 1.0000 -0.3983 + -0.1589 0.4241 0.9006 -0.3210 0.9939 0.5964 -0.3983 1.0000 + +Sorted eigenvalues of G: -0.2498 -0.0160 0.0895 0.2192 0.7072 1.7534 1.9611 3.5355 + +Nearest correlation matrix + 1.0000 -0.3112 0.1889 0.5396 0.0268 -0.5925 -0.0621 -0.1921 + -0.3112 1.0000 0.2050 0.2265 0.4148 0.2822 0.2915 0.4088 + 0.1889 0.2050 1.0000 -0.1468 0.7880 0.2727 -0.6085 0.8802 + 0.5396 0.2265 -0.1468 1.0000 0.2137 0.0015 0.6069 -0.2208 + 0.0268 0.4148 0.7880 0.2137 1.0000 0.6580 -0.2812 0.8762 + -0.5925 0.2822 0.2727 0.0015 0.6580 1.0000 0.0479 0.5932 + -0.0621 0.2915 -0.6085 0.6069 -0.2812 0.0479 1.0000 -0.4470 + -0.1921 0.4088 0.8802 -0.2208 0.8762 0.5932 -0.4470 1.0000 + +Sorted eigenvalues of X: -0.0000 0.0000 0.0380 0.1731 0.6894 1.7117 1.9217 3.4661 + +Nearest correlation matrix using row and column weighting + 1.0000 -0.3250 0.1881 0.5739 0.0067 -0.6097 -0.0722 -0.1598 + -0.3250 1.0000 0.2048 0.2426 0.4060 0.2737 0.2870 0.4236 + 0.1881 0.2048 1.0000 -0.1322 0.7661 0.2759 -0.6171 0.9004 + 0.5739 0.2426 -0.1322 1.0000 0.2085 -0.0890 0.5954 -0.1805 + 0.0067 0.4060 0.7661 0.2085 1.0000 0.6556 -0.2780 0.8757 + -0.6097 0.2737 0.2759 -0.0890 0.6556 1.0000 0.0490 0.5746 + -0.0722 0.2870 -0.6171 0.5954 -0.2780 0.0490 1.0000 -0.4550 + -0.1598 0.4236 0.9004 -0.1805 0.8757 0.5746 -0.4550 1.0000 + +Sorted eigenvalues of X: 0.0010 0.0010 0.0305 0.1646 0.6764 1.7716 1.8910 3.4639 + +100.0000 100.0000 100.0000 1.0000 1.0000 1.0000 1.0000 1.0000 +100.0000 100.0000 100.0000 1.0000 1.0000 1.0000 1.0000 1.0000 +100.0000 100.0000 100.0000 1.0000 1.0000 1.0000 1.0000 1.0000 + 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 + 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 + 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 + 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 + 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 + +Nearest correlation matrix using element-wise weighting + 1.0000 -0.3251 0.1881 0.5371 0.0255 -0.5893 -0.0625 -0.1929 + -0.3251 1.0000 0.2048 0.2249 0.4144 0.2841 0.2914 0.4081 + 0.1881 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a/nearest_correlation_matrices/ncm_nag.html b/nearest_correlation_matrices/ncm_nag.html new file mode 100644 index 0000000..8cf790b --- /dev/null +++ b/nearest_correlation_matrices/ncm_nag.html @@ -0,0 +1,15412 @@ + + + + + +ncm_nag + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + From ac844e7e550e911313441ad9ed21ca70c9b30bf0 Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 18 Dec 2020 13:20:26 +0000 Subject: [PATCH 015/196] Fixed pdf --- nearest_correlation_matrices/ncm_nag.ipynb | 5 +++-- nearest_correlation_matrices/ncm_nag.pdf | Bin 139877 -> 139788 bytes 2 files changed, 3 insertions(+), 2 deletions(-) diff --git a/nearest_correlation_matrices/ncm_nag.ipynb b/nearest_correlation_matrices/ncm_nag.ipynb index 759f6b9..90bea7f 100644 --- a/nearest_correlation_matrices/ncm_nag.ipynb +++ b/nearest_correlation_matrices/ncm_nag.ipynb @@ -274,7 +274,8 @@ "source": [ "```java\n", "// Define a 2-d array and use Double.NaN to set elements as NaNs\n", - "double[][] P = new double[][] { { 59.875, 42.734, 47.938, 60.359, 54.016, 69.625, 61.500, 62.125 },\n", + "double[][] P = new double[][] {\n", + " { 59.875, 42.734, 47.938, 60.359, 54.016, 69.625, 61.500, 62.125 },\n", " { 53.188, 49.000, 39.500, Double.NaN, 34.750, Double.NaN, 83.000, 44.500 },\n", " { 55.750, 50.000, 38.938, Double.NaN, 30.188, Double.NaN, 70.875, 29.938 },\n", " { 65.500, 51.063, 45.563, 69.313, 48.250, 62.375, 85.250, Double.NaN },\n", @@ -2527,4 +2528,4 @@ }, "nbformat": 4, "nbformat_minor": 1 -} +} \ No newline at end of file diff --git a/nearest_correlation_matrices/ncm_nag.pdf b/nearest_correlation_matrices/ncm_nag.pdf index 85d0af4d0188c278df12c2537285194c7fc3c9dc..55517ab9b0965b4fb03b7d6bfaccde1a8f30f199 100644 GIT binary patch delta 70254 zcmY&?_^SpY;#5NvPGEhti{Lmm1+n{{;R|2Sd4+TLtYq5s zr{Q{Z8$q{zryltJxj_Dv&4u!%)9H2qozmdbU>)$vhR1YBHsql1N0#d4{x3qNuX{D+Mo-a7B-!E!m_BJ7 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z6u;9x4U~0hpRs!6%WVN_-)Nr)>Y}vI0?k9(7l0PGb{o)d*S=(Rqjm={_)_~S;0@Eh z4EVCNyR7zVcLHytwY#lu)4mRT8_@0nzKixvYa@HF-3J?7+PAG;G1=^m4yVX}63c)Q t3T19&b98cLVQmU!Ze(v_Y8VQ0bYXIIcyeWC3NbS|Ff}v^B_%~qMhbfDrqBQY From df1d43b65d5db47c542641c48471e67f3a7cae6e Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 18 Dec 2020 13:55:15 +0000 Subject: [PATCH 016/196] Added "Obtaining a License to README.md" --- README.md | 51 +++++++++++++++++++++++++++++++++++++++++---------- 1 file changed, 41 insertions(+), 10 deletions(-) diff --git a/README.md b/README.md index e25bb4d..5db369e 100644 --- a/README.md +++ b/README.md @@ -26,6 +26,37 @@ The NAG Library for Java Mark 27.1 is available for the following platforms: You can get the NAG Library from [here](https://www.nag.com/content/nag-library). +## Obtaining a license + +Before you can use the NAG Library for Java, you'll need a license. Free trial licenses are available! + +To request a licence key, you first need to know your Kusari *hostid* and email that along with the Product Code to [support@nag.com](mailto:support@nag.com). + +To get your *khostid*: + +### Linux + +* Run the program *khostid* located in the *license/bin/linux_x64* subdirectory of the software distribution. + +* Once you have obtained one of the above licence keys, the easiest way to install it is to store the text in a file, +``` +$HOME/nag.key +``` +or +``` +/opt/NAG/nag.key +``` +or +``` +/usr/local/NAG/nag.key +``` + +### Windows + +* Use the Kusari Installer GUI. Once you have a key, the same GUI can be used to install it. + +More detailed installation instructions are availavle in the [Installer's Note](https://www.nag.com/content/nag-library-mark-27). + ## NAG Library for Java installation ### Linux @@ -35,20 +66,20 @@ To install the NAG Library for Java, you simply have to unzip the distribution f * NAGJava.jar * libnag_jni271.so -The following **must** be in your LD_LIBRARY_PATH environment variable to use the NAG Library for Java: +The following **must** be in your *LD_LIBRARY_PATH* environment variable to use the NAG Library for Java: -The directory containing libnag_jni271.so -The directories lp64/lib and rtl/lib/intel64 of the underlying library NLL6I271BL +* The directory containing *libnag_jni271.so* +* The directories *lp64/lib* and *rtl/lib/intel64* of the underlying library NLL6I271BL It is also recommended that the path to NAGJava.jar is added to your CLASSPATH. -So your LD_LIBRARY_PATH should contain something like: +So your *LD_LIBRARY_PATH* should contain something like: ``` [nagjava_install_dir]/linux_x64:[nll6i271bl_install_dir]/lp64/lib:[nll6i271bl_install_dir]/rtl/lib/intel64 ``` -and your CLASSPATH: +and your *CLASSPATH*: ``` .:[nagjava_install_dir]/jar/NAGJava.jar @@ -63,20 +94,20 @@ To install the NAG Library for Java, you simply have to unzip the distribution f * NAGJava.jar * nag_jni271.dll -The following **must** be in your PATH environment variable to use the NAG Library for Java: +The following **must** be in your *PATH* environment variable to use the NAG Library for Java: -The directory containing nag_jni271.dll -The directories bin and rtl\bin of the underlying library NLW6I271EL +* The directory containing *nag_jni271.dll* +* The directories *bin* and *rtl\bin* of the underlying library NLW6I271EL It is also recommended that the path to NAGJava.jar is added to your CLASSPATH. -So your PATH should contain something like: +So your *PATH* should contain something like: ``` [nagjava_install_dir]\win64;[nlw6i271el_install_dir]\bin;[nlw6i271el_install_dir]\rtl\bin ``` -and your CLASSPATH: +and your *CLASSPATH*: ``` .;[nagjava_install_dir]\jar\NAGJava.jar From 4aac259852ab04f5b7119986904b1100946f5957 Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 18 Dec 2020 13:55:38 +0000 Subject: [PATCH 017/196] Deleted ncm_nag.html --- nearest_correlation_matrices/ncm_nag.html | 15412 -------------------- 1 file changed, 15412 deletions(-) delete mode 100644 nearest_correlation_matrices/ncm_nag.html diff --git a/nearest_correlation_matrices/ncm_nag.html b/nearest_correlation_matrices/ncm_nag.html deleted file mode 100644 index 8cf790b..0000000 --- a/nearest_correlation_matrices/ncm_nag.html +++ /dev/null @@ -1,15412 +0,0 @@ - - - - - -ncm_nag - - - - - - - - - - - - - - - - - - - - - - - -

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - From 5585260606b786334b6406b0b6a652024d13c09c Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 18 Dec 2020 14:07:44 +0000 Subject: [PATCH 018/196] Updated Ncm readme --- nearest_correlation_matrices/Readme.md | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/nearest_correlation_matrices/Readme.md b/nearest_correlation_matrices/Readme.md index 32e96c4..6e923a0 100644 --- a/nearest_correlation_matrices/Readme.md +++ b/nearest_correlation_matrices/Readme.md @@ -1,6 +1,8 @@ # Nearest Correlation Matrices using the NAG Library for Java * [ncm_whitepaper_2019.pdf](./ncm_whitepaper_2019.pdf) Nearest Correlation Matrices whitepaper -* [ncm_nag.ipynb](./ncm_nag.ipynb) Nearest Correlation Matrices Tutorial -* [NcmNag.java](./NcmNag.java) Nearest Correlation Matrices Java Source File +* [NcmNag.java](./NcmNag.java) Nearest Correlation Matrices Java Source File, which outputs data files for *ncm_nag.ipynb* to use. * [output.txt](./output.txt) Output of NcmNag.java +* [ncm_nag.ipynb](./ncm_nag.ipynb) Nearest Correlation Matrices Tutorial, which reads the data files produced from *NcmNag.java* and renders the output using Python +* [ncm_nag.pdf](./ncm_nag.pdf) PDF version of ncm_nag.ipynb, without the Input cells + From 49c0886ad01a4670b680b0fa336fef711724ff7e Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 18 Dec 2020 14:08:33 +0000 Subject: [PATCH 019/196] Updated Ncm notebook image path --- nearest_correlation_matrices/ncm_nag.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/nearest_correlation_matrices/ncm_nag.ipynb b/nearest_correlation_matrices/ncm_nag.ipynb index 90bea7f..0a51df6 100644 --- a/nearest_correlation_matrices/ncm_nag.ipynb +++ b/nearest_correlation_matrices/ncm_nag.ipynb @@ -1365,7 +1365,7 @@ "\n", "* We do this until we converge on a matrix with both properties.\n", "\n", - "\n", + "\n", "\n" ] }, From 8b5cfd586336df45fdd66f7e09167297c0fa9b8c Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 18 Dec 2020 14:11:32 +0000 Subject: [PATCH 020/196] Changed image width to 300px --- nearest_correlation_matrices/ncm_nag.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/nearest_correlation_matrices/ncm_nag.ipynb b/nearest_correlation_matrices/ncm_nag.ipynb index 0a51df6..f7c6983 100644 --- a/nearest_correlation_matrices/ncm_nag.ipynb +++ b/nearest_correlation_matrices/ncm_nag.ipynb @@ -1365,7 +1365,7 @@ "\n", "* We do this until we converge on a matrix with both properties.\n", "\n", - "\n", + "\n", "\n" ] }, From ce88c3c41c63262f3aefe43ba3b54e5714ad308c Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 18 Dec 2020 14:15:26 +0000 Subject: [PATCH 021/196] Update README.md --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 5db369e..e27258c 100644 --- a/README.md +++ b/README.md @@ -30,7 +30,7 @@ You can get the NAG Library from [here](https://www.nag.com/content/nag-library) Before you can use the NAG Library for Java, you'll need a license. Free trial licenses are available! -To request a licence key, you first need to know your Kusari *hostid* and email that along with the Product Code to [support@nag.com](mailto:support@nag.com). +To request a licence key, you first need to know your Kusari *hostid* and email that along with the *Product Code* to [support@nag.com](mailto:support@nag.com). To get your *khostid*: From 4fe0cf187062bff437da328c3e8d91840e2f24e2 Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 18 Dec 2020 14:36:32 +0000 Subject: [PATCH 022/196] Added link to download the Nag Java lib --- README.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/README.md b/README.md index e27258c..0974dd6 100644 --- a/README.md +++ b/README.md @@ -59,6 +59,8 @@ More detailed installation instructions are availavle in the [Installer's Note]( ## NAG Library for Java installation +You can get the NAG Library for Java from [here](https://www.nag.com/content/nag-library-java-download). + ### Linux To install the NAG Library for Java, you simply have to unzip the distribution file and copy two files to convenient locations on your system: From 30dc1141215cf3f553abdfe3877f9a6e3142cc7f Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Tue, 22 Dec 2020 10:19:31 +0000 Subject: [PATCH 023/196] removed _config.yml --- _config.yml | 1 - 1 file changed, 1 deletion(-) delete mode 100644 _config.yml diff --git a/_config.yml b/_config.yml deleted file mode 100644 index 2f7efbe..0000000 --- a/_config.yml +++ /dev/null @@ -1 +0,0 @@ -theme: jekyll-theme-minimal \ No newline at end of file From 66eb4547ebe61e2c222fbccb47e5218618d8990f Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 8 Jan 2021 14:14:31 +0000 Subject: [PATCH 024/196] Added QCQP (unfinished) --- QCQP/Readme.md | 0 QCQP/data/djia_close_price.csv | 31 ++ QCQP/portfolioOptimizationQCQP.java | 520 ++++++++++++++++++++++++++++ 3 files changed, 551 insertions(+) create mode 100644 QCQP/Readme.md create mode 100644 QCQP/data/djia_close_price.csv create mode 100644 QCQP/portfolioOptimizationQCQP.java diff --git a/QCQP/Readme.md b/QCQP/Readme.md new file mode 100644 index 0000000..e69de29 diff --git a/QCQP/data/djia_close_price.csv b/QCQP/data/djia_close_price.csv new file mode 100644 index 0000000..46f1a62 --- /dev/null +++ b/QCQP/data/djia_close_price.csv @@ -0,0 +1,31 @@ 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diff --git a/QCQP/portfolioOptimizationQCQP.java b/QCQP/portfolioOptimizationQCQP.java new file mode 100644 index 0000000..88a5ab4 --- /dev/null +++ b/QCQP/portfolioOptimizationQCQP.java @@ -0,0 +1,520 @@ +import com.nag.routines.G02.G02BX; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RS; +import com.nag.routines.E04.E04RJ; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04PT; +import com.nag.routines.E04.E04PTU; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04RY; + +import java.io.BufferedReader; +import java.io.File; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Map; +import java.util.LinkedHashMap; +import java.util.Arrays; +import java.io.FileWriter; + +public class portfolioOptimizationQCQP { + + public static String dataFile = "data" + File.separator + "djia_close_price.csv"; + + public static void main(String[] args) { + + int i, j; + + // Data Preparation + + // Load stock price data from djia_close_price.csv + String[] dateIndex = new String[0]; + Map closePrice = new LinkedHashMap<>(); + try { + BufferedReader reader = new BufferedReader(new FileReader(dataFile)); + + String line = reader.readLine().substring(1); + dateIndex = line.split(","); + + String[] data; + String key; + double[] values; + + while ((line = reader.readLine()) != null) { + data = line.split(","); + key = data[0]; + values = parseDoubleArr(Arrays.copyOfRange(data, 1, data.length)); + closePrice.put(key, values); + } + reader.close(); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + dataFile); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + dataFile + "\n" + e.getMessage()); + } + + int m = dateIndex.length; + int n = closePrice.size(); + + double[][] data = new double[m][n]; + i = 0; + double[] tempA; + for (Map.Entry entry : closePrice.entrySet()) { + tempA = entry.getValue(); + for (j = 0; j < m; j++) { + data[j][i] = tempA[j]; + } + i++; + } + + // Relative return + double[][] relRtn = new double[m - 1][n]; + + for (j = 0; j < m - 1; j++) { + for (i = 0; i < n; i++) { + relRtn[j][i] = (data[j + 1][i] - data[j][i]) / data[j][i]; + } + } + + // Mean return + double[] r = new double[n]; + double sum; + for (j = 0; j < n; j++) { + sum = 0; + for (i = 0; i < m - 1; i++) { + sum += relRtn[i][j]; + } + r[j] = sum; + r[j] /= m - 1; + } + + // printVectorToFile(r, "r_java.txt"); + + // Covariance matrix + G02BX g02bx = new G02BX(); + String weight = "U"; + n = relRtn.length; + m = relRtn[0].length; + int ldx = n; + double[] x1d = convert2DTo1D(relRtn); + double[] wt = new double[0]; + double[] xbar = new double[m]; + double[] std = new double[m]; + int ldv = m; + double[] v1d = new double[ldv * m]; + double[] r1d = new double[ldv * m]; + int ifail = 0; + g02bx.eval(weight, n, m, x1d, ldx, wt, xbar, std, v1d, ldv, r1d, ifail); + + double[][] V = convert1DTo2D(v1d, m); + + // Classic Mean-Variance Model + + // Efficient Frontier + + int itemsDiag = V.length; + int itemsAboveDiag = (int) (Math.pow(itemsDiag, 2) - itemsDiag) / 2 + itemsDiag; + int[] irowq = new int[itemsAboveDiag]; + int[] icolq = new int[itemsAboveDiag]; + double[] vVal = new double[itemsAboveDiag]; + int c = 0; + // Input for quadratic objective + // Sparsity pattern of upper triangular V + for (i = 0; i < V.length; i++) { + for (j = i; j < V[0].length; j++) { + vVal[c] = V[i][j]; + irowq[c] = i + 1; + icolq[c] = j + 1; + c++; + } + } + + // printVectorToFile(vVal, "vVal_java.txt"); + + n = closePrice.size(); + // Sparsity pattern of r, which is actually dense in this application + int[] idxr = new int[n]; + for (i = 0; i < n; i++) { + idxr[i] = i + 1; + } + + // Input for linear constraint: e'x = 1 + int[] irowa = new int[n]; + Arrays.fill(irowa, 1); + int[] icola = new int[n]; + for (i = 0; i < n; i++) { + icola[i] = i + 1; + } + double[] a = new double[n]; + Arrays.fill(a, 1.0); + double[] bl = new double[1]; + bl[0] = 1.0; + double[] bu = new double[1]; + bu[0] = 1.0; + + // Input for bound constraint: x >= 0 + double[] blx = new double[n]; + Arrays.fill(blx, 0.0); + double[] bux = new double[n]; + Arrays.fill(bux, 1.0e20); + + // Set step for mu + int step = 2001; + + // Initialize output data: absolute risk and return + double[] abRisk = new double[2001]; + double[] abRtn = new double[2001]; + + E04RA e04ra = new E04RA(); + E04RS e04rs = new E04RS(); + E04RJ e04rj = new E04RJ(); + E04RH e04rh = new E04RH(); + E04ZM e04zm = new E04ZM(); + E04PT e04pt = new E04PT(); + MONIT monit = new MONIT(); + E04RZ e04rz = new E04RZ(); + E04RY e04ry = new E04RY(); + + int mu; + long handle = 0; + double[] q = new double[vVal.length]; + int idqc; + int nnzr = nonZeroLength(r); + int nnzq = q.length; + int nclin = bl.length; + int nnza = nonZeroLength(a); + double[] x = new double[n]; + double[] u = new double[0]; + double[] uc = new double[0]; + double[] rinfo = new double[100]; + double[] stats = new double[100]; + int[] iuser = new int[2]; + double[] ruser = new double[1]; + long cpuser = 0; + double[][] x2d; + double[][] VX; + double[][] XVX; + double[][] r2d; + double[][] RX; + + for (mu = 0; mu < step; mu++) { + // Create problem handle + e04ra.eval(handle, n, ifail); + handle = e04ra.getHANDLE(); + + // Set quadratic objective function + // In qcqp standard form q should be 2*mu*V + for (i = 0; i < q.length; i++) { + q[i] = 2.0 * mu * vVal[i]; + } + + nnzq = nonZeroLength(q); + idqc = -1; + ifail = 0; + e04rs.eval(handle, 0.0, nnzr, idxr, invertSignVector(r), nnzq, irowq, icolq, q, idqc, ifail); + + // Set linear constraint e'x = 1 + e04rj.eval(handle, nclin, bl, bu, nnza, irowa, icola, a, 0, ifail); + + // Set bound constraint + e04rh.eval(handle, n, blx, bux, ifail); + + // set options + e04zm.eval(handle, "Print Options = NO", ifail); + e04zm.eval(handle, "Print Level = 1", ifail); + e04zm.eval(handle, "Print File = -1", ifail); + e04zm.eval(handle, "SOCP Scaling = A", ifail); + + // if (mu == 255){ + // // e04ry.eval(handle, 6, "Overview, Objective, Simple bounds, Linear + // constraints bounds, Linear constraints detailed", ifail); + // // e04zm.eval(handle, "Print Options = YES", ifail); + // // e04zm.eval(handle, "Print Level = 3", ifail); + // // e04zm.eval(handle, "Print File = 6", ifail); + // // e04zm.eval(handle, "Print Solution = YES", ifail); + // printVectorToFile(r, "r_java.log"); + // printVectorToFile(q, "q_java.log"); + // } + + // Call socp interior point solver + ifail = -1; + e04pt.eval(handle, n, x, 0, u, 0, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + + ifail = e04pt.getIFAIL(); + if (ifail != 0) { + System.out.println("mu = " + mu); + System.out.println("ifail = " + ifail); + } + + // Compute risk and return from the portfolio + x2d = convert1DTo2D(x, n); + VX = multiplyMatrices(V, x2d); + XVX = multiplyMatrices(invertRowColMatrix(x2d), VX); + abRisk[mu] = Math.sqrt(XVX[0][0]); + + r2d = convert1DTo2D(r, n); + RX = multiplyMatrices(invertRowColMatrix(r2d), x2d); + abRtn[mu] = RX[0][0]; + + // Destroy the handle: + e04rz.eval(handle, ifail); + handle = e04rz.getHANDLE(); + } + + // System.out.println(ab_risk[0]); + // System.out.println(ab_risk[2000]); + // System.out.println(ab_rtn[0]); + // System.out.println(ab_rtn[2000]); + + // Maximizing the Sharpe ratio + + // Input for linear constraint: e'y = lambda + irowa = new int[(n + 1) + n]; + icola = new int[(n + 1) + n]; + a = new double[(n + 1) + n]; + bl = new double[2]; + bu = new double[2]; + blx = new double[n + 1]; + bux = new double[n + 1]; + + Arrays.fill(irowa, 0, n + 1, 1); + for (i = 0; i <= n; i++) { + icola[i] = i + 1; + } + Arrays.fill(a, 0, n, 1.0); + a[n] = -1.0; + bl[0] = 0.0; + bu[0] = 0.0; + + // Input for linear constraint: r'y = 1 + Arrays.fill(irowa, n + 1, irowa.length, 2); + for (i = 0; i < n; i++) { + icola[(n + 1) + i] = i + 1; + } + for (i = 0; i < n; i++) { + a[(n + 1) + i] = r[i]; + } + bl[1] = 1.0; + bu[1] = 1.0; + + // Input for bound constraint: x >= 0 + Arrays.fill(blx, 0.0); + Arrays.fill(bux, 1.0e20); + + ifail = 0; + + // Create problem handle + e04ra.eval(handle, n + 1, ifail); + handle = e04ra.getHANDLE(); + + // Set quadratic objective function + // In qcqp standard form q should be 2*V + for (i = 0; i < q.length; i++) { + q[i] = 2.0 * vVal[i]; + } + idqc = -1; + nnzq = nonZeroLength(q); + e04rs.eval(handle, 0.0, 0, idxr, r, nnzq, irowq, icolq, q, idqc, ifail); + + // Set linear constraints + nclin = bl.length; + nnza = nonZeroLength(a); + e04rj.eval(handle, nclin, bl, bu, nnza, irowa, icola, a, 0, ifail); + + // Set bound constraint + e04rh.eval(handle, blx.length, blx, bux, ifail); + + // Set options + e04zm.eval(handle, "Print Options = YES", ifail); + e04zm.eval(handle, "Print Level = 3", ifail); + e04zm.eval(handle, "Print File = 6", ifail); + e04zm.eval(handle, "SOCP Scaling = A", ifail); + + e04zm.eval(handle, "Print Solution = YES", ifail); + + // e04ry.eval(handle, 6, + // "Overview, Objective, Simple bounds, Linear constraints bounds, Linear constraints detailed", ifail); + + // Call socp interior point solver + x = new double[n + 1]; + e04pt.eval(handle, n + 1, x, 0, u, 0, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + + printVector(x); + + x2d = convert1DTo2D(x, n); + VX = multiplyMatrices(V, x2d); + XVX = multiplyMatrices(invertRowColMatrix(x2d), VX); + double srRisk = Math.sqrt(XVX[0][0]) / x[n]; + + r2d = convert1DTo2D(r, n); + RX = multiplyMatrices(invertRowColMatrix(r2d), x2d); + double srRtn = RX[0][0] / x[n]; + + double[] srX = vectorDivScalar(x, x[n]); + + System.out.println(srRisk); + System.out.println(srRtn); + printVector(srX); + } + + public static class MONIT extends E04PT.Abstract_E04PT_MONIT { + public void eval() { + E04PTU e04ptu = new E04PTU(); + e04ptu.eval(this.HANDLE, this.RINFO, this.STATS, this.IUSER, this.RUSER, this.CPUSER, this.INFORM); + this.INFORM = e04ptu.getINFORM(); + } + } + + public static double[] vectorDivScalar(double[] a, double s) { + double[] t = new double[a.length]; + for (int i = 0; i < t.length; i++) { + t[i] = a[i] / s; + } + return t; + } + + public static double[][] invertRowColMatrix(double[][] a) { + double[][] t = new double[a[0].length][a.length]; + for (int i = 0; i < a.length; i++) { + for (int j = 0; j < a[0].length; j++) { + t[j][i] = a[i][j]; + } + } + return t; + } + + public static double[] invertSignVector(double[] a) { + double[] t = new double[a.length]; + for (int i = 0; i < t.length; i++) { + t[i] = -a[i]; + } + return t; + } + + public static int nonZeroLength(double[] a) { + int c = 0; + for (int i = 0; i < a.length; i++) { + if (a[i] != 0) { + c++; + } + } + return c; + } + + public static double[] parseDoubleArr(String[] a) { + double[] t = new double[a.length]; + for (int i = 0; i < t.length; i++) { + t[i] = Double.parseDouble(a[i]); + } + return t; + } + + public static double[] convert2DTo1D(double[][] a) { + double[] b = new double[a.length * a[0].length]; + int n = a.length; + for (int i = 0; i < a.length; i++) { + for (int j = 0; j < a[0].length; j++) { + b[i + j * n] = a[i][j]; + } + } + return b; + } + + public static double[][] convert1DTo2D(double[] a, int n) { + double[][] b = new double[n][a.length / n]; + + for (int i = 0; i < b.length; i++) { + for (int j = 0; j < b[0].length; j++) { + b[i][j] = a[i + j * n]; + } + } + return b; + } + + public static double sum(double[][] a) { + double sum = 0; + for (int i = 0; i < a.length; i++) { + for (int j = 0; j < a[0].length; j++) { + sum += a[i][j]; + } + } + return sum; + } + + public static double[][] multiplyMatrices(double[][] firstMatrix, double[][] secondMatrix) { + double[][] result = new double[firstMatrix.length][secondMatrix[0].length]; + for (int row = 0; row < result.length; row++) { + for (int col = 0; col < result[row].length; col++) { + result[row][col] = multiplyMatricesCell(firstMatrix, secondMatrix, row, col); + } + } + return result; + } + + private static double multiplyMatricesCell(double[][] firstMatrix, double[][] secondMatrix, int row, int col) { + double cell = 0; + for (int i = 0; i < secondMatrix.length; i++) { + cell += firstMatrix[row][i] * secondMatrix[i][col]; + } + return cell; + } + + public static void printArr(String[] a) { + for (int i = 0; i < a.length; i++) { + System.out.printf("%s ", a[i]); + } + System.out.println(); + } + + public static void printMap(Map map) { + for (Map.Entry entry : map.entrySet()) { + System.out.printf("%4s: ", entry.getKey()); + printVector(entry.getValue()); + } + } + + public static void printMatrix(double[][] a) { + printMatrix(a, a.length, a[0].length); + } + + public static void printMatrix(double[][] a, int row, int col) { + for (int i = 0; i < row; i++) { + for (int j = 0; j < col; j++) { + System.out.printf("%11.4e ", a[i][j]); + } + System.out.println(); + } + } + + public static void printVector(double[] a) { + for (int i = 0; i < a.length; i++) { + System.out.printf("%.3e ", a[i]); + } + System.out.println(); + } + + public static void printVector(int[] a) { + for (int i = 0; i < a.length; i++) { + System.out.printf("%4d ", a[i]); + } + System.out.println(); + } + + public static void printVectorToFile(double[] a, String fileName) { + try { + FileWriter writer = new FileWriter(new File(fileName)); + for (int i = 0; i < a.length; i++) { + writer.write(a[i] + "\n"); + } + writer.close(); + } catch (IOException e) { + System.out.println(e.getMessage()); + e.printStackTrace(); + } + } + +} From cc4908f25b0d8447b8ae0f825b25a4b7ab737fc2 Mon Sep 17 00:00:00 2001 From: "U-NAGNTD\\christos.efstathiou" Date: Fri, 8 Jan 2021 16:42:39 +0200 Subject: [PATCH 025/196] Numerical changes from Bladon --- nearest_correlation_matrices/data/G.d | 16 +++++++-------- nearest_correlation_matrices/data/G02AA.d | 20 +++++++++---------- nearest_correlation_matrices/data/G02AB.d | 20 +++++++++---------- nearest_correlation_matrices/data/G02AJ.d | 20 +++++++++---------- nearest_correlation_matrices/data/G02AN.d | 20 +++++++++---------- nearest_correlation_matrices/data/G_eigen.d | 2 +- nearest_correlation_matrices/data/H_G02AJ.d | 16 +++++++-------- nearest_correlation_matrices/data/X_G02AA.d | 16 +++++++-------- nearest_correlation_matrices/data/X_G02AB.d | 16 +++++++-------- nearest_correlation_matrices/data/X_G02AJ.d | 16 +++++++-------- nearest_correlation_matrices/data/X_G02AN.d | 16 +++++++-------- .../data/X_eigen_G02AA.d | 2 +- .../data/X_eigen_G02AB.d | 2 +- .../data/X_eigen_G02AJ.d | 2 +- .../data/X_eigen_G02AN.d | 2 +- .../data/alpha_G02AN.d | 2 +- nearest_correlation_matrices/ncm_nag.ipynb | 5 +++-- 17 files changed, 97 insertions(+), 96 deletions(-) diff --git a/nearest_correlation_matrices/data/G.d b/nearest_correlation_matrices/data/G.d index 5d286c9..71c5575 100755 --- a/nearest_correlation_matrices/data/G.d +++ b/nearest_correlation_matrices/data/G.d @@ -1,8 +1,8 @@ -1.0 -0.3250029917945835 0.18814425997629136 0.5759508639629596 0.00640355776080848 -0.6111098444919633 -0.07240613328341335 -0.15893528307270638 --0.3250029917945835 1.0 0.20484152654833515 0.24360955555978517 0.40582420357130317 0.273020298287851 0.2868805375451461 0.4240671568750279 -0.1881442599762914 0.20484152654833518 1.0 -0.1325040936108396 0.7657991363667153 0.27646640778981524 -0.617183266829168 0.9005703206682636 -0.5759508639629596 0.24360955555978514 -0.13250409361083962 0.9999999999999998 0.30409424292463905 0.012596382998409861 0.645158339588759 -0.32102379456595537 -0.006403557760808479 0.40582420357130317 0.7657991363667153 0.304094242924639 1.0000000000000002 0.6651979348683132 -0.3293323685112022 0.9939281510877161 --0.6111098444919633 0.273020298287851 0.27646640778981524 0.012596382998409863 0.6651979348683132 0.9999999999999998 0.049172233461315856 0.5963589524568644 --0.07240613328341335 0.2868805375451461 -0.6171832668291679 0.645158339588759 -0.3293323685112022 0.049172233461315856 0.9999999999999999 -0.39827829557224775 --0.15893528307270638 0.42406715687502783 0.9005703206682635 -0.3210237945659553 0.993928151087716 0.5963589524568643 -0.3982782955722478 1.0000000000000002 +1.0 -0.3250029917945835 0.18814425997629136 0.5759508639629596 0.00640355776080848 -0.6111098444919633 -0.07240613328341335 -0.15893528307270638 +-0.3250029917945835 1.0 0.20484152654833515 0.24360955555978517 0.40582420357130317 0.273020298287851 0.2868805375451461 0.4240671568750279 +0.1881442599762914 0.20484152654833518 1.0 -0.1325040936108396 0.7657991363667153 0.27646640778981524 -0.617183266829168 0.9005703206682636 +0.5759508639629596 0.24360955555978514 -0.13250409361083962 0.9999999999999998 0.30409424292463905 0.012596382998409861 0.645158339588759 -0.32102379456595537 +0.006403557760808479 0.40582420357130317 0.7657991363667153 0.304094242924639 1.0000000000000002 0.6651979348683132 -0.3293323685112022 0.9939281510877161 +-0.6111098444919633 0.273020298287851 0.27646640778981524 0.012596382998409863 0.6651979348683132 0.9999999999999998 0.049172233461315856 0.5963589524568644 +-0.07240613328341335 0.2868805375451461 -0.6171832668291679 0.645158339588759 -0.3293323685112022 0.049172233461315856 0.9999999999999999 -0.39827829557224775 +-0.15893528307270638 0.42406715687502783 0.9005703206682635 -0.3210237945659553 0.993928151087716 0.5963589524568643 -0.3982782955722478 1.0000000000000002 diff --git a/nearest_correlation_matrices/data/G02AA.d b/nearest_correlation_matrices/data/G02AA.d index 55ed396..ad79122 100755 --- a/nearest_correlation_matrices/data/G02AA.d +++ b/nearest_correlation_matrices/data/G02AA.d @@ -1,10 +1,10 @@ -3 -0.2959969817070778 -0.0 0.013815700430991396 7.366710963886136E-4 0.03635540303506091 0.02034779708157225 0.018640792841438603 0.010277120331962035 0.03313079901499455 -0.013815700430991396 0.0 1.836163361564891E-4 0.01707632265088571 0.009011302957805278 0.009183190094823324 0.004646613030236613 0.015279544615574847 -7.366710963885859E-4 1.8361633615646133E-4 0.0 0.014293377437387234 0.022160907986847334 0.003755895897555317 0.008723271763466434 0.020341681222662555 -0.03635540303506091 0.017076322650885684 0.014293377437387206 2.220446049250313E-16 0.0903873270564857 0.011108665944863202 0.03829235517819496 0.10025930306912842 -0.02034779708157225 0.009011302957805278 0.022160907986847334 0.09038732705648564 2.220446049250313E-16 0.007170761154141281 0.04815905065166437 0.11769167350320131 -0.018640792841438603 0.009183190094823324 0.003755895897555317 0.011108665944863204 0.007170761154141281 2.220446049250313E-16 0.0012869329722350817 0.0032065743873453956 -0.010277120331962035 0.004646613030236613 0.008723271763466323 0.03829235517819496 0.04815905065166437 0.0012869329722350817 1.1102230246251565E-16 0.048704113870236265 -0.03313079901499455 0.015279544615574792 0.020341681222662444 0.10025930306912836 0.1176916735032012 0.0032065743873452845 0.04870411387023621 2.220446049250313E-16 +3 +0.2959969817070778 +0.0 0.013815700430991396 7.366710963886136E-4 0.03635540303506091 0.02034779708157225 0.018640792841438603 0.010277120331962035 0.03313079901499455 +0.013815700430991396 0.0 1.836163361564891E-4 0.01707632265088571 0.009011302957805278 0.009183190094823324 0.004646613030236613 0.015279544615574847 +7.366710963885859E-4 1.8361633615646133E-4 0.0 0.014293377437387234 0.022160907986847334 0.003755895897555317 0.008723271763466434 0.020341681222662555 +0.03635540303506091 0.017076322650885684 0.014293377437387206 2.220446049250313E-16 0.0903873270564857 0.011108665944863202 0.03829235517819496 0.10025930306912842 +0.02034779708157225 0.009011302957805278 0.022160907986847334 0.09038732705648564 2.220446049250313E-16 0.007170761154141281 0.04815905065166437 0.11769167350320131 +0.018640792841438603 0.009183190094823324 0.003755895897555317 0.011108665944863204 0.007170761154141281 2.220446049250313E-16 0.0012869329722350817 0.0032065743873453956 +0.010277120331962035 0.004646613030236613 0.008723271763466323 0.03829235517819496 0.04815905065166437 0.0012869329722350817 1.1102230246251565E-16 0.048704113870236265 +0.03313079901499455 0.015279544615574792 0.020341681222662444 0.10025930306912836 0.1176916735032012 0.0032065743873452845 0.04870411387023621 2.220446049250313E-16 diff --git a/nearest_correlation_matrices/data/G02AB.d b/nearest_correlation_matrices/data/G02AB.d index 85f882b..52475cd 100755 --- a/nearest_correlation_matrices/data/G02AB.d +++ b/nearest_correlation_matrices/data/G02AB.d @@ -1,10 +1,10 @@ -4 -0.3524228941273674 -0.0 1.2127569472830668E-5 7.195785961727763E-6 0.002038032317451921 3.353434369406643E-4 0.001459140067176179 2.2543497516450128E-4 8.700269518134296E-4 -1.2127569472830668E-5 0.0 3.3697723013370595E-6 0.0010287283953215043 2.0605535082529602E-4 7.060499939418041E-4 1.2971188999805205E-4 4.693987256226828E-4 -7.195785961755519E-6 3.369772301364815E-6 0.0 3.1606180612731016E-4 3.3451678969276255E-4 5.464856907395066E-4 1.3231874883401495E-4 1.8281093738581333E-4 -0.002038032317451921 0.0010287283953214765 3.160618061273379E-4 2.220446049250313E-16 0.09562569837460122 0.10161736192678256 0.0497455932654437 0.14048758269560868 -3.3534343694066517E-4 2.0605535082529602E-4 3.3451678969276255E-4 0.09562569837460116 2.220446049250313E-16 0.009591829656777184 0.05135556336768127 0.11827727452119219 -0.001459140067176179 7.060499939418041E-4 5.464856907395066E-4 0.10161736192678256 0.009591829656777184 2.220446049250313E-16 1.4712946889805512E-4 0.021750337132225628 -2.2543497516450128E-4 1.2971188999805205E-4 1.3231874883390393E-4 0.0497455932654437 0.05135556336768127 1.4712946889805512E-4 1.1102230246251565E-16 0.05672380746719463 -8.700269518134296E-4 4.693987256226273E-4 1.828109373857023E-4 0.14048758269560863 0.11827727452119208 0.021750337132225517 0.056723807467194576 2.220446049250313E-16 +4 +0.3524228941273674 +0.0 1.2127569472830668E-5 7.195785961727763E-6 0.002038032317451921 3.353434369406643E-4 0.001459140067176179 2.2543497516450128E-4 8.700269518134296E-4 +1.2127569472830668E-5 0.0 3.3697723013370595E-6 0.0010287283953215043 2.0605535082529602E-4 7.060499939418041E-4 1.2971188999805205E-4 4.693987256226828E-4 +7.195785961755519E-6 3.369772301364815E-6 0.0 3.1606180612731016E-4 3.3451678969276255E-4 5.464856907395066E-4 1.3231874883401495E-4 1.8281093738581333E-4 +0.002038032317451921 0.0010287283953214765 3.160618061273379E-4 2.220446049250313E-16 0.09562569837460122 0.10161736192678256 0.0497455932654437 0.14048758269560868 +3.3534343694066517E-4 2.0605535082529602E-4 3.3451678969276255E-4 0.09562569837460116 2.220446049250313E-16 0.009591829656777184 0.05135556336768127 0.11827727452119219 +0.001459140067176179 7.060499939418041E-4 5.464856907395066E-4 0.10161736192678256 0.009591829656777184 2.220446049250313E-16 1.4712946889805512E-4 0.021750337132225628 +2.2543497516450128E-4 1.2971188999805205E-4 1.3231874883390393E-4 0.0497455932654437 0.05135556336768127 1.4712946889805512E-4 1.1102230246251565E-16 0.05672380746719463 +8.700269518134296E-4 4.693987256226273E-4 1.828109373857023E-4 0.14048758269560863 0.11827727452119208 0.021750337132225517 0.056723807467194576 2.220446049250313E-16 diff --git a/nearest_correlation_matrices/data/G02AJ.d b/nearest_correlation_matrices/data/G02AJ.d index ee927b2..877abc6 100755 --- a/nearest_correlation_matrices/data/G02AJ.d +++ b/nearest_correlation_matrices/data/G02AJ.d @@ -1,10 +1,10 @@ -137 -0.29813714558068444 -0.0 5.0774791750307635E-5 2.425786085669124E-6 0.03883768090546136 0.019130917809027575 0.02182932325871967 0.00987166742762663 0.03391663346423357 -5.0774791750307635E-5 0.0 5.503563274000811E-7 0.018710223175318536 0.008532716981402788 0.011049620489332113 0.004524701071976667 0.015984364111987615 -2.4257860856968794E-6 5.503563274278367E-7 0.0 0.013678853424135107 0.022547222563915392 0.004645537805090194 0.008813804760212207 0.02015546927216605 -0.03883768090546136 0.018710223175318508 0.013678853424135079 2.220446049250313E-16 0.09025842648426527 0.012778743855939181 0.038178346548207065 0.10114967989476989 -0.019130917809027575 0.008532716981402788 0.022547222563915392 0.09025842648426521 2.220446049250313E-16 0.008578555196769533 0.04861770043459507 0.1182788714519033 -0.02182932325871967 0.011049620489332113 0.004645537805090194 0.012778743855939183 0.008578555196769533 2.220446049250313E-16 0.0017968276748671075 0.00339877792490062 -0.00987166742762663 0.004524701071976667 0.008813804760212096 0.038178346548207065 0.04861770043459507 0.0017968276748671075 1.1102230246251565E-16 0.04880165619044008 -0.03391663346423357 0.01598436411198756 0.020155469272165938 0.10114967989476983 0.11827887145190319 0.003398777924900509 0.048801656190440024 2.220446049250313E-16 +137 +0.29813714558068444 +0.0 5.0774791750307635E-5 2.425786085669124E-6 0.03883768090546136 0.019130917809027575 0.02182932325871967 0.00987166742762663 0.03391663346423357 +5.0774791750307635E-5 0.0 5.503563274000811E-7 0.018710223175318536 0.008532716981402788 0.011049620489332113 0.004524701071976667 0.015984364111987615 +2.4257860856968794E-6 5.503563274278367E-7 0.0 0.013678853424135107 0.022547222563915392 0.004645537805090194 0.008813804760212207 0.02015546927216605 +0.03883768090546136 0.018710223175318508 0.013678853424135079 2.220446049250313E-16 0.09025842648426527 0.012778743855939181 0.038178346548207065 0.10114967989476989 +0.019130917809027575 0.008532716981402788 0.022547222563915392 0.09025842648426521 2.220446049250313E-16 0.008578555196769533 0.04861770043459507 0.1182788714519033 +0.02182932325871967 0.011049620489332113 0.004645537805090194 0.012778743855939183 0.008578555196769533 2.220446049250313E-16 0.0017968276748671075 0.00339877792490062 +0.00987166742762663 0.004524701071976667 0.008813804760212096 0.038178346548207065 0.04861770043459507 0.0017968276748671075 1.1102230246251565E-16 0.04880165619044008 +0.03391663346423357 0.01598436411198756 0.020155469272165938 0.10114967989476983 0.11827887145190319 0.003398777924900509 0.048801656190440024 2.220446049250313E-16 diff --git a/nearest_correlation_matrices/data/G02AN.d b/nearest_correlation_matrices/data/G02AN.d index 264585c..b90c333 100755 --- a/nearest_correlation_matrices/data/G02AN.d +++ b/nearest_correlation_matrices/data/G02AN.d @@ -1,10 +1,10 @@ -27 -0.6842232923771067 -0.0 0.0 0.0 0.11534559633486957 0.0012824395878200104 0.12238688028701034 0.014500765854245638 0.031829946184179364 -0.0 0.0 0.0 0.048787650504719254 0.08127435463151922 0.05467773570274814 0.057453523816818036 0.0849278682546235 -2.7755575615628914E-17 2.7755575615628914E-17 0.0 0.026536575688402134 0.15336648242727113 0.055367887554946565 0.12360320370123046 0.18035708804084039 -0.11534559633486957 0.04878765050471923 0.02653657568840216 2.220446049250313E-16 0.06090091010680207 0.0025226758036557776 0.1292057674820426 0.06429138896868497 -0.0012824395878200095 0.08127435463151922 0.15336648242727113 0.060900910106802014 2.220446049250313E-16 0.13321909433413714 0.06595534587259971 0.19905384725423392 -0.12238688028701034 0.05467773570274814 0.055367887554946565 0.0025226758036557793 0.13321909433413714 2.220446049250313E-16 0.009847716092804867 0.11943272126977661 -0.014500765854245638 0.057453523816818036 0.12360320370123035 0.1292057674820426 0.06595534587259971 0.009847716092804867 1.1102230246251565E-16 0.07976313672648783 -0.031829946184179364 0.08492786825462345 0.18035708804084027 0.06429138896868491 0.1990538472542338 0.1194327212697765 0.07976313672648788 2.220446049250313E-16 +27 +0.6842232923771067 +0.0 0.0 0.0 0.11534559633486957 0.0012824395878200104 0.12238688028701034 0.014500765854245638 0.031829946184179364 +0.0 0.0 0.0 0.048787650504719254 0.08127435463151922 0.05467773570274814 0.057453523816818036 0.0849278682546235 +2.7755575615628914E-17 2.7755575615628914E-17 0.0 0.026536575688402134 0.15336648242727113 0.055367887554946565 0.12360320370123046 0.18035708804084039 +0.11534559633486957 0.04878765050471923 0.02653657568840216 2.220446049250313E-16 0.06090091010680207 0.0025226758036557776 0.1292057674820426 0.06429138896868497 +0.0012824395878200095 0.08127435463151922 0.15336648242727113 0.060900910106802014 2.220446049250313E-16 0.13321909433413714 0.06595534587259971 0.19905384725423392 +0.12238688028701034 0.05467773570274814 0.055367887554946565 0.0025226758036557793 0.13321909433413714 2.220446049250313E-16 0.009847716092804867 0.11943272126977661 +0.014500765854245638 0.057453523816818036 0.12360320370123035 0.1292057674820426 0.06595534587259971 0.009847716092804867 1.1102230246251565E-16 0.07976313672648783 +0.031829946184179364 0.08492786825462345 0.18035708804084027 0.06429138896868491 0.1990538472542338 0.1194327212697765 0.07976313672648788 2.220446049250313E-16 diff --git a/nearest_correlation_matrices/data/G_eigen.d b/nearest_correlation_matrices/data/G_eigen.d index ffbb905..cae4deb 100755 --- a/nearest_correlation_matrices/data/G_eigen.d +++ b/nearest_correlation_matrices/data/G_eigen.d @@ -1 +1 @@ --0.24977745860993417 -0.015972279592768625 0.08945238623840102 0.2191673628508196 0.7072035937038217 1.7533864538965915 1.9610814370428227 3.53545850447024 +-0.24977745860993417 -0.015972279592768625 0.08945238623840102 0.2191673628508196 0.7072035937038217 1.7533864538965915 1.9610814370428227 3.53545850447024 diff --git a/nearest_correlation_matrices/data/H_G02AJ.d b/nearest_correlation_matrices/data/H_G02AJ.d index 06b2a26..65df620 100755 --- a/nearest_correlation_matrices/data/H_G02AJ.d +++ b/nearest_correlation_matrices/data/H_G02AJ.d @@ -1,8 +1,8 @@ -100.0 100.0 100.0 1.0 1.0 1.0 1.0 1.0 -100.0 100.0 100.0 1.0 1.0 1.0 1.0 1.0 -100.0 100.0 100.0 1.0 1.0 1.0 1.0 1.0 -1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 -1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 -1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 -1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 -1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 +100.0 100.0 100.0 1.0 1.0 1.0 1.0 1.0 +100.0 100.0 100.0 1.0 1.0 1.0 1.0 1.0 +100.0 100.0 100.0 1.0 1.0 1.0 1.0 1.0 +1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 +1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 +1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 +1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 +1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 diff --git a/nearest_correlation_matrices/data/X_G02AA.d b/nearest_correlation_matrices/data/X_G02AA.d index 9d5299b..b5deb07 100755 --- a/nearest_correlation_matrices/data/X_G02AA.d +++ b/nearest_correlation_matrices/data/X_G02AA.d @@ -1,8 +1,8 @@ -1.0 -0.3111872913635921 0.18888093107267998 0.5395954609278987 0.02675135484238073 -0.5924690516505247 -0.06212901295145131 -0.19206608208770093 --0.3111872913635921 1.0 0.20502514288449164 0.22653323290889946 0.41483550652910844 0.28220348838267434 0.2915271505753827 0.40878761225945304 -0.18888093107267998 0.20502514288449164 1.0 -0.14679747104822682 0.7879600443535626 0.2727105118922599 -0.6084599950657016 0.880228639445601 -0.5395954609278987 0.22653323290889946 -0.14679747104822682 1.0 0.21370691586815335 0.0014877170535466597 0.606865984410564 -0.22076449149682695 -0.02675135484238073 0.41483550652910844 0.7879600443535626 0.21370691586815335 1.0 0.658027173714172 -0.2811733178595378 0.8762364775845148 --0.5924690516505247 0.28220348838267434 0.2727105118922599 0.0014877170535466597 0.658027173714172 1.0 0.047885300489080775 0.593152378069519 --0.06212901295145131 0.2915271505753827 -0.6084599950657016 0.606865984410564 -0.2811733178595378 0.047885300489080775 1.0 -0.446982409442484 --0.19206608208770093 0.40878761225945304 0.880228639445601 -0.22076449149682695 0.8762364775845148 0.593152378069519 -0.446982409442484 1.0 +1.0 -0.3111872913635921 0.18888093107267998 0.5395954609278987 0.02675135484238073 -0.5924690516505247 -0.06212901295145131 -0.19206608208770093 +-0.3111872913635921 1.0 0.20502514288449164 0.22653323290889946 0.41483550652910844 0.28220348838267434 0.2915271505753827 0.40878761225945304 +0.18888093107267998 0.20502514288449164 1.0 -0.14679747104822682 0.7879600443535626 0.2727105118922599 -0.6084599950657016 0.880228639445601 +0.5395954609278987 0.22653323290889946 -0.14679747104822682 1.0 0.21370691586815335 0.0014877170535466597 0.606865984410564 -0.22076449149682695 +0.02675135484238073 0.41483550652910844 0.7879600443535626 0.21370691586815335 1.0 0.658027173714172 -0.2811733178595378 0.8762364775845148 +-0.5924690516505247 0.28220348838267434 0.2727105118922599 0.0014877170535466597 0.658027173714172 1.0 0.047885300489080775 0.593152378069519 +-0.06212901295145131 0.2915271505753827 -0.6084599950657016 0.606865984410564 -0.2811733178595378 0.047885300489080775 1.0 -0.446982409442484 +-0.19206608208770093 0.40878761225945304 0.880228639445601 -0.22076449149682695 0.8762364775845148 0.593152378069519 -0.446982409442484 1.0 diff --git a/nearest_correlation_matrices/data/X_G02AB.d b/nearest_correlation_matrices/data/X_G02AB.d index 383aa7b..640200b 100755 --- a/nearest_correlation_matrices/data/X_G02AB.d +++ b/nearest_correlation_matrices/data/X_G02AB.d @@ -1,8 +1,8 @@ -1.0 -0.32499086422511064 0.18813706419032963 0.5739128316455077 0.006738901197749145 -0.6096507044247871 -0.07218069830824884 -0.1598053100245198 --0.32499086422511064 1.0 0.20483815677603381 0.24258082716446366 0.40603025892212846 0.2737263482817928 0.28701024943514414 0.4235977581494052 -0.18813706419032963 0.20483815677603381 1.0 -0.13218803180471228 0.766133653156408 0.27591992209907573 -0.617050948080334 0.9003875097308778 -0.5739128316455077 0.24258082716446366 -0.13218803180471228 1.0 0.20846854455003783 -0.0890209789283727 0.5954127463233153 -0.18053621187034669 -0.006738901197749145 0.40603025892212846 0.766133653156408 0.20846854455003783 1.0 0.6556061052115361 -0.2779768051435209 0.875650876566524 --0.6096507044247871 0.2737263482817928 0.27591992209907573 -0.0890209789283727 0.6556061052115361 1.0 0.0490251039924178 0.5746086153246388 --0.07218069830824884 0.28701024943514414 -0.617050948080334 0.5954127463233153 -0.2779768051435209 0.0490251039924178 1.0 -0.4550021030394424 --0.1598053100245198 0.4235977581494052 0.9003875097308778 -0.18053621187034669 0.875650876566524 0.5746086153246388 -0.4550021030394424 1.0 +1.0 -0.32499086422511064 0.18813706419032963 0.5739128316455077 0.006738901197749145 -0.6096507044247871 -0.07218069830824884 -0.1598053100245198 +-0.32499086422511064 1.0 0.20483815677603381 0.24258082716446366 0.40603025892212846 0.2737263482817928 0.28701024943514414 0.4235977581494052 +0.18813706419032963 0.20483815677603381 1.0 -0.13218803180471228 0.766133653156408 0.27591992209907573 -0.617050948080334 0.9003875097308778 +0.5739128316455077 0.24258082716446366 -0.13218803180471228 1.0 0.20846854455003783 -0.0890209789283727 0.5954127463233153 -0.18053621187034669 +0.006738901197749145 0.40603025892212846 0.766133653156408 0.20846854455003783 1.0 0.6556061052115361 -0.2779768051435209 0.875650876566524 +-0.6096507044247871 0.2737263482817928 0.27591992209907573 -0.0890209789283727 0.6556061052115361 1.0 0.0490251039924178 0.5746086153246388 +-0.07218069830824884 0.28701024943514414 -0.617050948080334 0.5954127463233153 -0.2779768051435209 0.0490251039924178 1.0 -0.4550021030394424 +-0.1598053100245198 0.4235977581494052 0.9003875097308778 -0.18053621187034669 0.875650876566524 0.5746086153246388 -0.4550021030394424 1.0 diff --git a/nearest_correlation_matrices/data/X_G02AJ.d b/nearest_correlation_matrices/data/X_G02AJ.d index a8d3ca0..103b2ad 100755 --- a/nearest_correlation_matrices/data/X_G02AJ.d +++ b/nearest_correlation_matrices/data/X_G02AJ.d @@ -1,8 +1,8 @@ -1.0 -0.3250537665863338 0.1881418341902057 0.5371131830574982 0.025534475569836054 -0.5892805212332436 -0.06253446585578672 -0.19285191653693995 --0.3250537665863338 1.0 0.20484097619200775 0.22489933238446663 0.41435692055270595 0.28406991877718313 0.29140523861712275 0.40808279276304027 -0.1881418341902057 0.20484097619200775 1.0 -0.1461829470349747 0.7883463589306307 0.27182086998472504 -0.6083694620689558 0.8804148513960975 -0.5371131830574982 0.22489933238446663 -0.1461829470349747 1.0 0.21383581644037378 -1.8236085752931886E-4 0.606979993040552 -0.21987411467118548 -0.025534475569836054 0.41435692055270595 0.7883463589306307 0.21383581644037378 1.0 0.6566193796715437 -0.2807146680766071 0.8756492796358128 --0.5892805212332436 0.28406991877718313 0.27182086998472504 -1.8236085752931886E-4 0.6566193796715437 1.0 0.04737540578644875 0.5929601745319638 --0.06253446585578672 0.29140523861712275 -0.6083694620689558 0.606979993040552 -0.2807146680766071 0.04737540578644875 1.0 -0.44707995176268783 --0.19285191653693995 0.40808279276304027 0.8804148513960975 -0.21987411467118548 0.8756492796358128 0.5929601745319638 -0.44707995176268783 1.0 +1.0 -0.3250537665863338 0.1881418341902057 0.5371131830574982 0.025534475569836054 -0.5892805212332436 -0.06253446585578672 -0.19285191653693995 +-0.3250537665863338 1.0 0.20484097619200775 0.22489933238446663 0.41435692055270595 0.28406991877718313 0.29140523861712275 0.40808279276304027 +0.1881418341902057 0.20484097619200775 1.0 -0.1461829470349747 0.7883463589306307 0.27182086998472504 -0.6083694620689558 0.8804148513960975 +0.5371131830574982 0.22489933238446663 -0.1461829470349747 1.0 0.21383581644037378 -1.8236085752931886E-4 0.606979993040552 -0.21987411467118548 +0.025534475569836054 0.41435692055270595 0.7883463589306307 0.21383581644037378 1.0 0.6566193796715437 -0.2807146680766071 0.8756492796358128 +-0.5892805212332436 0.28406991877718313 0.27182086998472504 -1.8236085752931886E-4 0.6566193796715437 1.0 0.04737540578644875 0.5929601745319638 +-0.06253446585578672 0.29140523861712275 -0.6083694620689558 0.606979993040552 -0.2807146680766071 0.04737540578644875 1.0 -0.44707995176268783 +-0.19285191653693995 0.40808279276304027 0.8804148513960975 -0.21987411467118548 0.8756492796358128 0.5929601745319638 -0.44707995176268783 1.0 diff --git a/nearest_correlation_matrices/data/X_G02AN.d b/nearest_correlation_matrices/data/X_G02AN.d index 9197e94..a66f3ec 100755 --- a/nearest_correlation_matrices/data/X_G02AN.d +++ b/nearest_correlation_matrices/data/X_G02AN.d @@ -1,8 +1,8 @@ -1.0 -0.3250029917945835 0.18814425997629136 0.46060526762809 0.00512111817298847 -0.4887229642049529 -0.05790536742916771 -0.12710533688852702 --0.3250029917945835 1.0 0.20484152654833515 0.1948219050550659 0.32454984893978395 0.21834256258510287 0.22942701372832805 0.3391392886204044 -0.18814425997629136 0.20484152654833515 1.0 -0.10596751792243746 0.6124326539394441 0.22109852023486867 -0.49358006312793756 0.7202132326274232 -0.46060526762809 0.1948219050550659 -0.10596751792243746 1.0 0.24319333281783698 0.010073707194754084 0.5159525721067164 -0.2567324055972704 -0.00512111817298847 0.32454984893978395 0.6124326539394441 0.24319333281783698 1.0 0.5319788405341761 -0.26337702263860246 0.7948743038334822 --0.4887229642049529 0.21834256258510287 0.22109852023486867 0.010073707194754084 0.5319788405341761 1.0 0.03932451736851099 0.4769262311870878 --0.05790536742916771 0.22942701372832805 -0.49358006312793756 0.5159525721067164 -0.26337702263860246 0.03932451736851099 1.0 -0.3185151588457599 --0.12710533688852702 0.3391392886204044 0.7202132326274232 -0.2567324055972704 0.7948743038334822 0.4769262311870878 -0.3185151588457599 1.0 +1.0 -0.3250029917945835 0.18814425997629136 0.46060526762809 0.00512111817298847 -0.4887229642049529 -0.05790536742916771 -0.12710533688852702 +-0.3250029917945835 1.0 0.20484152654833515 0.1948219050550659 0.32454984893978395 0.21834256258510287 0.22942701372832805 0.3391392886204044 +0.18814425997629136 0.20484152654833515 1.0 -0.10596751792243746 0.6124326539394441 0.22109852023486867 -0.49358006312793756 0.7202132326274232 +0.46060526762809 0.1948219050550659 -0.10596751792243746 1.0 0.24319333281783698 0.010073707194754084 0.5159525721067164 -0.2567324055972704 +0.00512111817298847 0.32454984893978395 0.6124326539394441 0.24319333281783698 1.0 0.5319788405341761 -0.26337702263860246 0.7948743038334822 +-0.4887229642049529 0.21834256258510287 0.22109852023486867 0.010073707194754084 0.5319788405341761 1.0 0.03932451736851099 0.4769262311870878 +-0.05790536742916771 0.22942701372832805 -0.49358006312793756 0.5159525721067164 -0.26337702263860246 0.03932451736851099 1.0 -0.3185151588457599 +-0.12710533688852702 0.3391392886204044 0.7202132326274232 -0.2567324055972704 0.7948743038334822 0.4769262311870878 -0.3185151588457599 1.0 diff --git a/nearest_correlation_matrices/data/X_eigen_G02AA.d b/nearest_correlation_matrices/data/X_eigen_G02AA.d index 2824faf..3b4e8a5 100755 --- a/nearest_correlation_matrices/data/X_eigen_G02AA.d +++ b/nearest_correlation_matrices/data/X_eigen_G02AA.d @@ -1 +1 @@ --6.173883426196985E-17 2.550377090501583E-17 0.038046493282210325 0.17308760612514437 0.6893558332540384 1.7117146722540244 1.9217270612302262 3.4660683338543565 +-6.173883426196985E-17 2.550377090501583E-17 0.038046493282210325 0.17308760612514437 0.6893558332540384 1.7117146722540244 1.9217270612302262 3.4660683338543565 diff --git a/nearest_correlation_matrices/data/X_eigen_G02AB.d b/nearest_correlation_matrices/data/X_eigen_G02AB.d index b9f32aa..0445a93 100755 --- a/nearest_correlation_matrices/data/X_eigen_G02AB.d +++ b/nearest_correlation_matrices/data/X_eigen_G02AB.d @@ -1 +1 @@ -9.999999999997552E-4 9.99999999999841E-4 0.030520719790230445 0.1646165705339852 0.676371387352591 1.771620208378711 1.8909924571529526 3.4638786567915307 +9.999999999997552E-4 9.99999999999841E-4 0.030520719790230445 0.1646165705339852 0.676371387352591 1.771620208378711 1.8909924571529526 3.4638786567915307 diff --git a/nearest_correlation_matrices/data/X_eigen_G02AJ.d b/nearest_correlation_matrices/data/X_eigen_G02AJ.d index 10d308d..ccfa05e 100755 --- a/nearest_correlation_matrices/data/X_eigen_G02AJ.d +++ b/nearest_correlation_matrices/data/X_eigen_G02AJ.d @@ -1 +1 @@ -9.999999999997702E-4 9.999999999999124E-4 0.037510930964740785 0.1733826335965124 0.6881675924398503 1.7105895508241635 1.9223622895788683 3.465987002595862 +9.999999999997702E-4 9.999999999999124E-4 0.037510930964740785 0.1733826335965124 0.6881675924398503 1.7105895508241635 1.9223622895788683 3.465987002595862 diff --git a/nearest_correlation_matrices/data/X_eigen_G02AN.d b/nearest_correlation_matrices/data/X_eigen_G02AN.d index 26ccdd2..0c6eff3 100755 --- a/nearest_correlation_matrices/data/X_eigen_G02AN.d +++ b/nearest_correlation_matrices/data/X_eigen_G02AN.d @@ -1 +1 @@ -1.4134713692893524E-9 0.13753724988136337 0.2743711328835331 0.3803668326795735 0.7768482873688412 1.6263475038033162 1.768932428977788 3.0355965629921156 +1.4134713692893524E-9 0.13753724988136337 0.2743711328835331 0.3803668326795735 0.7768482873688412 1.6263475038033162 1.768932428977788 3.0355965629921156 diff --git a/nearest_correlation_matrices/data/alpha_G02AN.d b/nearest_correlation_matrices/data/alpha_G02AN.d index ca71ea2..9224985 100755 --- a/nearest_correlation_matrices/data/alpha_G02AN.d +++ b/nearest_correlation_matrices/data/alpha_G02AN.d @@ -1 +1 @@ -0.20026985555887222 +0.20026985555887222 diff --git a/nearest_correlation_matrices/ncm_nag.ipynb b/nearest_correlation_matrices/ncm_nag.ipynb index 759f6b9..e031f68 100644 --- a/nearest_correlation_matrices/ncm_nag.ipynb +++ b/nearest_correlation_matrices/ncm_nag.ipynb @@ -274,7 +274,8 @@ "source": [ "```java\n", "// Define a 2-d array and use Double.NaN to set elements as NaNs\n", - "double[][] P = new double[][] { { 59.875, 42.734, 47.938, 60.359, 54.016, 69.625, 61.500, 62.125 },\n", + "double[][] P = new double[][] {\n", + " { 59.875, 42.734, 47.938, 60.359, 54.016, 69.625, 61.500, 62.125 },\n", " { 53.188, 49.000, 39.500, Double.NaN, 34.750, Double.NaN, 83.000, 44.500 },\n", " { 55.750, 50.000, 38.938, Double.NaN, 30.188, Double.NaN, 70.875, 29.938 },\n", " { 65.500, 51.063, 45.563, 69.313, 48.250, 62.375, 85.250, Double.NaN },\n", @@ -1364,7 +1365,7 @@ "\n", "* We do this until we converge on a matrix with both properties.\n", "\n", - "\n", + "\n", "\n" ] }, From b4826be3f89723cb2c239f01ac6c615880eef4d4 Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 8 Jan 2021 16:51:35 +0200 Subject: [PATCH 026/196] Numerical Differences from Bladon --- nearest_correlation_matrices/data/G.d | 0 nearest_correlation_matrices/data/G02AA.d | 0 nearest_correlation_matrices/data/G02AB.d | 0 nearest_correlation_matrices/data/G02AJ.d | 0 nearest_correlation_matrices/data/G02AN.d | 0 nearest_correlation_matrices/data/G_eigen.d | 0 nearest_correlation_matrices/data/H_G02AJ.d | 0 nearest_correlation_matrices/data/X_G02AA.d | 0 nearest_correlation_matrices/data/X_G02AB.d | 0 nearest_correlation_matrices/data/X_G02AJ.d | 0 nearest_correlation_matrices/data/X_G02AN.d | 0 nearest_correlation_matrices/data/X_eigen_G02AA.d | 0 nearest_correlation_matrices/data/X_eigen_G02AB.d | 0 nearest_correlation_matrices/data/X_eigen_G02AJ.d | 0 nearest_correlation_matrices/data/X_eigen_G02AN.d | 0 nearest_correlation_matrices/data/alpha_G02AN.d | 0 nearest_correlation_matrices/output.txt | 0 17 files changed, 0 insertions(+), 0 deletions(-) mode change 100755 => 100644 nearest_correlation_matrices/data/G.d mode change 100755 => 100644 nearest_correlation_matrices/data/G02AA.d mode change 100755 => 100644 nearest_correlation_matrices/data/G02AB.d mode change 100755 => 100644 nearest_correlation_matrices/data/G02AJ.d mode change 100755 => 100644 nearest_correlation_matrices/data/G02AN.d mode change 100755 => 100644 nearest_correlation_matrices/data/G_eigen.d mode change 100755 => 100644 nearest_correlation_matrices/data/H_G02AJ.d mode change 100755 => 100644 nearest_correlation_matrices/data/X_G02AA.d mode change 100755 => 100644 nearest_correlation_matrices/data/X_G02AB.d mode change 100755 => 100644 nearest_correlation_matrices/data/X_G02AJ.d mode change 100755 => 100644 nearest_correlation_matrices/data/X_G02AN.d mode change 100755 => 100644 nearest_correlation_matrices/data/X_eigen_G02AA.d mode change 100755 => 100644 nearest_correlation_matrices/data/X_eigen_G02AB.d mode change 100755 => 100644 nearest_correlation_matrices/data/X_eigen_G02AJ.d mode change 100755 => 100644 nearest_correlation_matrices/data/X_eigen_G02AN.d mode change 100755 => 100644 nearest_correlation_matrices/data/alpha_G02AN.d mode change 100755 => 100644 nearest_correlation_matrices/output.txt diff --git a/nearest_correlation_matrices/data/G.d b/nearest_correlation_matrices/data/G.d old mode 100755 new mode 100644 diff --git a/nearest_correlation_matrices/data/G02AA.d b/nearest_correlation_matrices/data/G02AA.d old mode 100755 new mode 100644 diff --git a/nearest_correlation_matrices/data/G02AB.d b/nearest_correlation_matrices/data/G02AB.d old mode 100755 new mode 100644 diff --git a/nearest_correlation_matrices/data/G02AJ.d b/nearest_correlation_matrices/data/G02AJ.d old mode 100755 new mode 100644 diff --git a/nearest_correlation_matrices/data/G02AN.d b/nearest_correlation_matrices/data/G02AN.d old mode 100755 new mode 100644 diff --git a/nearest_correlation_matrices/data/G_eigen.d b/nearest_correlation_matrices/data/G_eigen.d old mode 100755 new mode 100644 diff --git a/nearest_correlation_matrices/data/H_G02AJ.d b/nearest_correlation_matrices/data/H_G02AJ.d old mode 100755 new mode 100644 diff --git a/nearest_correlation_matrices/data/X_G02AA.d b/nearest_correlation_matrices/data/X_G02AA.d old mode 100755 new mode 100644 diff --git a/nearest_correlation_matrices/data/X_G02AB.d b/nearest_correlation_matrices/data/X_G02AB.d old mode 100755 new mode 100644 diff --git a/nearest_correlation_matrices/data/X_G02AJ.d b/nearest_correlation_matrices/data/X_G02AJ.d old mode 100755 new mode 100644 diff --git a/nearest_correlation_matrices/data/X_G02AN.d b/nearest_correlation_matrices/data/X_G02AN.d old mode 100755 new mode 100644 diff --git a/nearest_correlation_matrices/data/X_eigen_G02AA.d b/nearest_correlation_matrices/data/X_eigen_G02AA.d old mode 100755 new mode 100644 diff --git a/nearest_correlation_matrices/data/X_eigen_G02AB.d b/nearest_correlation_matrices/data/X_eigen_G02AB.d old mode 100755 new mode 100644 diff --git a/nearest_correlation_matrices/data/X_eigen_G02AJ.d b/nearest_correlation_matrices/data/X_eigen_G02AJ.d old mode 100755 new mode 100644 diff --git a/nearest_correlation_matrices/data/X_eigen_G02AN.d b/nearest_correlation_matrices/data/X_eigen_G02AN.d old mode 100755 new mode 100644 diff --git a/nearest_correlation_matrices/data/alpha_G02AN.d b/nearest_correlation_matrices/data/alpha_G02AN.d old mode 100755 new mode 100644 diff --git a/nearest_correlation_matrices/output.txt b/nearest_correlation_matrices/output.txt old mode 100755 new mode 100644 From 7489500e34465b1464ce2b5bfd65d6515f16948c Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 8 Jan 2021 17:11:55 +0200 Subject: [PATCH 027/196] Added workspace.code-workspace to gitingore --- .gitignore | 1 + 1 file changed, 1 insertion(+) diff --git a/.gitignore b/.gitignore index d6068b5..08b4244 100644 --- a/.gitignore +++ b/.gitignore @@ -1,3 +1,4 @@ *.class myvenv .ipynb_checkpoints +workspace.code-workspace From 868869bb2d7000935869443e21d6217633b48b78 Mon Sep 17 00:00:00 2001 From: Christos Date: Mon, 11 Jan 2021 17:08:01 +0200 Subject: [PATCH 028/196] Finished QCQP example --- QCQP/portfolioOptimizationQCQP.java | 334 +++++++++++++++------------- 1 file changed, 185 insertions(+), 149 deletions(-) diff --git a/QCQP/portfolioOptimizationQCQP.java b/QCQP/portfolioOptimizationQCQP.java index 88a5ab4..e21c616 100644 --- a/QCQP/portfolioOptimizationQCQP.java +++ b/QCQP/portfolioOptimizationQCQP.java @@ -7,7 +7,6 @@ import com.nag.routines.E04.E04PT; import com.nag.routines.E04.E04PTU; import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04RY; import java.io.BufferedReader; import java.io.File; @@ -17,6 +16,7 @@ import java.util.Map; import java.util.LinkedHashMap; import java.util.Arrays; +import java.util.ArrayList; import java.io.FileWriter; public class portfolioOptimizationQCQP { @@ -27,6 +27,15 @@ public static void main(String[] args) { int i, j; + E04RA e04ra = new E04RA(); + E04RS e04rs = new E04RS(); + E04RJ e04rj = new E04RJ(); + E04RH e04rh = new E04RH(); + E04ZM e04zm = new E04ZM(); + E04PT e04pt = new E04PT(); + MONIT monit = new MONIT(); + E04RZ e04rz = new E04RZ(); + // Data Preparation // Load stock price data from djia_close_price.csv @@ -62,9 +71,8 @@ public static void main(String[] args) { double[][] data = new double[m][n]; i = 0; - double[] tempA; for (Map.Entry entry : closePrice.entrySet()) { - tempA = entry.getValue(); + double[] tempA = entry.getValue(); for (j = 0; j < m; j++) { data[j][i] = tempA[j]; } @@ -73,7 +81,6 @@ public static void main(String[] args) { // Relative return double[][] relRtn = new double[m - 1][n]; - for (j = 0; j < m - 1; j++) { for (i = 0; i < n; i++) { relRtn[j][i] = (data[j + 1][i] - data[j][i]) / data[j][i]; @@ -82,9 +89,8 @@ public static void main(String[] args) { // Mean return double[] r = new double[n]; - double sum; for (j = 0; j < n; j++) { - sum = 0; + double sum = 0; for (i = 0; i < m - 1; i++) { sum += relRtn[i][j]; } @@ -92,8 +98,6 @@ public static void main(String[] args) { r[j] /= m - 1; } - // printVectorToFile(r, "r_java.txt"); - // Covariance matrix G02BX g02bx = new G02BX(); String weight = "U"; @@ -116,11 +120,11 @@ public static void main(String[] args) { // Efficient Frontier - int itemsDiag = V.length; - int itemsAboveDiag = (int) (Math.pow(itemsDiag, 2) - itemsDiag) / 2 + itemsDiag; - int[] irowq = new int[itemsAboveDiag]; - int[] icolq = new int[itemsAboveDiag]; - double[] vVal = new double[itemsAboveDiag]; + int itemsDiagLength = V.length; + int itemsAboveDiagLength = (int) (Math.pow(itemsDiagLength, 2) - itemsDiagLength) / 2 + itemsDiagLength; + int[] irowq = new int[itemsAboveDiagLength]; + int[] icolq = new int[itemsAboveDiagLength]; + double[] vVal = new double[itemsAboveDiagLength]; int c = 0; // Input for quadratic objective // Sparsity pattern of upper triangular V @@ -133,8 +137,6 @@ public static void main(String[] args) { } } - // printVectorToFile(vVal, "vVal_java.txt"); - n = closePrice.size(); // Sparsity pattern of r, which is actually dense in this application int[] idxr = new int[n]; @@ -144,49 +146,37 @@ public static void main(String[] args) { // Input for linear constraint: e'x = 1 int[] irowa = new int[n]; - Arrays.fill(irowa, 1); int[] icola = new int[n]; - for (i = 0; i < n; i++) { - icola[i] = i + 1; - } double[] a = new double[n]; - Arrays.fill(a, 1.0); double[] bl = new double[1]; - bl[0] = 1.0; double[] bu = new double[1]; + double[] blx = new double[n]; + double[] bux = new double[n]; + + Arrays.fill(irowa, 1); + for (i = 0; i < n; i++) { + icola[i] = i + 1; + } + Arrays.fill(a, 1.0); + bl[0] = 1.0; bu[0] = 1.0; // Input for bound constraint: x >= 0 - double[] blx = new double[n]; - Arrays.fill(blx, 0.0); - double[] bux = new double[n]; + Arrays.fill(blx, 0.0); Arrays.fill(bux, 1.0e20); // Set step for mu int step = 2001; // Initialize output data: absolute risk and return - double[] abRisk = new double[2001]; - double[] abRtn = new double[2001]; - - E04RA e04ra = new E04RA(); - E04RS e04rs = new E04RS(); - E04RJ e04rj = new E04RJ(); - E04RH e04rh = new E04RH(); - E04ZM e04zm = new E04ZM(); - E04PT e04pt = new E04PT(); - MONIT monit = new MONIT(); - E04RZ e04rz = new E04RZ(); - E04RY e04ry = new E04RY(); + ArrayList abRisk = new ArrayList<>(); + ArrayList abRtn = new ArrayList<>(); int mu; long handle = 0; double[] q = new double[vVal.length]; int idqc; - int nnzr = nonZeroLength(r); - int nnzq = q.length; - int nclin = bl.length; - int nnza = nonZeroLength(a); + double[] invertSignR = invertSignVector(r); double[] x = new double[n]; double[] u = new double[0]; double[] uc = new double[0]; @@ -202,6 +192,8 @@ public static void main(String[] args) { double[][] RX; for (mu = 0; mu < step; mu++) { + ifail = 0; + // Create problem handle e04ra.eval(handle, n, ifail); handle = e04ra.getHANDLE(); @@ -212,13 +204,11 @@ public static void main(String[] args) { q[i] = 2.0 * mu * vVal[i]; } - nnzq = nonZeroLength(q); idqc = -1; - ifail = 0; - e04rs.eval(handle, 0.0, nnzr, idxr, invertSignVector(r), nnzq, irowq, icolq, q, idqc, ifail); + e04rs.eval(handle, 0.0, nonZeroLength(invertSignR), idxr, invertSignR, nonZeroLength(q), irowq, icolq, q, idqc, ifail); // Set linear constraint e'x = 1 - e04rj.eval(handle, nclin, bl, bu, nnza, irowa, icola, a, 0, ifail); + e04rj.eval(handle, bl.length, bl, bu, nonZeroLength(a), irowa, icola, a, 0, ifail); // Set bound constraint e04rh.eval(handle, n, blx, bux, ifail); @@ -229,47 +219,30 @@ public static void main(String[] args) { e04zm.eval(handle, "Print File = -1", ifail); e04zm.eval(handle, "SOCP Scaling = A", ifail); - // if (mu == 255){ - // // e04ry.eval(handle, 6, "Overview, Objective, Simple bounds, Linear - // constraints bounds, Linear constraints detailed", ifail); - // // e04zm.eval(handle, "Print Options = YES", ifail); - // // e04zm.eval(handle, "Print Level = 3", ifail); - // // e04zm.eval(handle, "Print File = 6", ifail); - // // e04zm.eval(handle, "Print Solution = YES", ifail); - // printVectorToFile(r, "r_java.log"); - // printVectorToFile(q, "q_java.log"); - // } - // Call socp interior point solver - ifail = -1; + ifail = 1; e04pt.eval(handle, n, x, 0, u, 0, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); ifail = e04pt.getIFAIL(); - if (ifail != 0) { - System.out.println("mu = " + mu); - System.out.println("ifail = " + ifail); - } + if (ifail == 0) { + // Compute risk and return from the portfolio + x2d = convert1DTo2D(x, x.length); + VX = multiplyMatrices(V, x2d); + XVX = multiplyMatrices(invertRowColMatrix(x2d), VX); + + abRisk.add(Math.sqrt(XVX[0][0])); - // Compute risk and return from the portfolio - x2d = convert1DTo2D(x, n); - VX = multiplyMatrices(V, x2d); - XVX = multiplyMatrices(invertRowColMatrix(x2d), VX); - abRisk[mu] = Math.sqrt(XVX[0][0]); + r2d = convert1DTo2D(r, r.length); + RX = multiplyMatrices(invertRowColMatrix(r2d), x2d); - r2d = convert1DTo2D(r, n); - RX = multiplyMatrices(invertRowColMatrix(r2d), x2d); - abRtn[mu] = RX[0][0]; + abRtn.add(RX[0][0]); + } // Destroy the handle: e04rz.eval(handle, ifail); handle = e04rz.getHANDLE(); } - // System.out.println(ab_risk[0]); - // System.out.println(ab_risk[2000]); - // System.out.println(ab_rtn[0]); - // System.out.println(ab_rtn[2000]); - // Maximizing the Sharpe ratio // Input for linear constraint: e'y = lambda @@ -317,48 +290,163 @@ public static void main(String[] args) { q[i] = 2.0 * vVal[i]; } idqc = -1; - nnzq = nonZeroLength(q); - e04rs.eval(handle, 0.0, 0, idxr, r, nnzq, irowq, icolq, q, idqc, ifail); + e04rs.eval(handle, 0.0, 0, idxr, r, nonZeroLength(q), irowq, icolq, q, idqc, ifail); // Set linear constraints - nclin = bl.length; - nnza = nonZeroLength(a); - e04rj.eval(handle, nclin, bl, bu, nnza, irowa, icola, a, 0, ifail); + e04rj.eval(handle, bl.length, bl, bu, nonZeroLength(a), irowa, icola, a, 0, ifail); // Set bound constraint e04rh.eval(handle, blx.length, blx, bux, ifail); // Set options - e04zm.eval(handle, "Print Options = YES", ifail); - e04zm.eval(handle, "Print Level = 3", ifail); - e04zm.eval(handle, "Print File = 6", ifail); + e04zm.eval(handle, "Print Options = NO", ifail); + e04zm.eval(handle, "Print Level = 1", ifail); + e04zm.eval(handle, "Print File = -1", ifail); e04zm.eval(handle, "SOCP Scaling = A", ifail); - e04zm.eval(handle, "Print Solution = YES", ifail); - - // e04ry.eval(handle, 6, - // "Overview, Objective, Simple bounds, Linear constraints bounds, Linear constraints detailed", ifail); - // Call socp interior point solver x = new double[n + 1]; e04pt.eval(handle, n + 1, x, 0, u, 0, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - printVector(x); - x2d = convert1DTo2D(x, n); VX = multiplyMatrices(V, x2d); XVX = multiplyMatrices(invertRowColMatrix(x2d), VX); + double srRisk = Math.sqrt(XVX[0][0]) / x[n]; r2d = convert1DTo2D(r, n); RX = multiplyMatrices(invertRowColMatrix(r2d), x2d); + double srRtn = RX[0][0] / x[n]; - double[] srX = vectorDivScalar(x, x[n]); + double[] srX = new double[n]; + for (i = 0; i < srX.length; i++) { + srX[i] = x[i] / x[n]; + } + + // Portfolio optimization with tracking-error constraint + + // Generate a benchmark portfolio from efficient portfolio that maximize the + // Sharpe ratio + // Perturb x + double[] b = new double[n]; + double sumB = 0; + for (i = 0; i < b.length; i++) { + b[i] = srX[i] + 1.0e-1; + sumB += b[i]; + } + + // Normalize b + for (i = 0; i < b.length; i++) { + b[i] /= sumB; + } + + // Set limit on tracking-error + double tev = 0.000002; + + // Compute risk and return at the benchmark + double[][] b2d = convert1DTo2D(b, n); + double[][] VB = multiplyMatrices(V, b2d); + double[][] BVB = multiplyMatrices(invertRowColMatrix(b2d), VB); + + double bRisk = Math.sqrt(BVB[0][0]); + + r2d = convert1DTo2D(r, n); + double[][] RB = multiplyMatrices(invertRowColMatrix(r2d), b2d); + + double bRtn = RB[0][0]; + + irowa = new int[n]; + icola = new int[n]; + a = new double[n]; + bl = new double[1]; + bu = new double[1]; + + // Input for linear constraint: e'x = 0 + Arrays.fill(irowa, 1); + for (i = 0; i < icola.length; i++) { + icola[i] = i + 1; + } + Arrays.fill(a, 1.0); + bl[0] = 0; + bu[0] = 0; + + // Input for bound constraint: x >= -b + blx = invertSignVector(b); + Arrays.fill(bux, 1.0e20); + + // Initialize output data: TEV risk and return + ArrayList tevRisk = new ArrayList<>(); + ArrayList tevRtn = new ArrayList<>(); + + double[] rMu = new double[n]; + double[][] Vb; + double[] Vb1d; + x = new double[n]; + double[] xb; + double[][] xb2d; + double[][] xbVxb; - System.out.println(srRisk); - System.out.println(srRtn); - printVector(srX); + for (mu = 0; mu < step; mu++) { + ifail = 0; + + // Create problem handle + e04ra.eval(handle, n, ifail); + handle = e04ra.getHANDLE(); + + // Set quadratic objective function + // In qcqp standard form q should be 2*mu*V + for (i = 0; i < q.length; i++) { + q[i] = 2.0 * mu * vVal[i]; + } + Vb = multiplyMatrices(V, b2d); + Vb1d = convert2DTo1D(Vb); + for (i = 0; i < rMu.length; i++) { + rMu[i] = 2.0 * mu * Vb1d[i] - r[i]; + } + idqc = -1; + e04rs.eval(handle, 0.0, nonZeroLength(rMu), idxr, rMu, nonZeroLength(q), irowq, icolq, q, idqc, ifail); + + // Set quadratic constraint + // In qcqp standard form q should be 2*V + for (i = 0; i < q.length; i++) { + q[i] = 2.0 * vVal[i]; + } + idqc = 0; + e04rs.eval(handle, -tev, 0, idxr, rMu, nonZeroLength(q), irowq, icolq, q, idqc, ifail); + + // Set linear constraint e'x = 1 + e04rj.eval(handle, bl.length, bl, bu, nonZeroLength(a), irowa, icola, a, 0, ifail); + + // Set bound constraint + e04rh.eval(handle, blx.length, blx, bux, ifail); + + // Set options + e04zm.eval(handle, "Print Options = NO", ifail); + e04zm.eval(handle, "Print Level = 1", ifail); + e04zm.eval(handle, "Print File = -1", ifail); + e04zm.eval(handle, "SOCP Scaling = A", ifail); + + // Call socp interior point solver + // Mute warnings and do not count results from warnings + ifail = -1; + e04pt.eval(handle, n, x, 0, u, 0, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + + ifail = e04pt.getIFAIL(); + if (ifail == 0) { + // Compute risk and return from the portfolio + xb = addVectors(x, b); + xb2d = convert1DTo2D(xb, xb.length); + xbVxb = multiplyMatrices(invertRowColMatrix(xb2d), multiplyMatrices(V, xb2d)); + tevRisk.add(Math.sqrt(xbVxb[0][0])); + + tevRtn.add(multiplyMatrices(invertRowColMatrix(r2d), xb2d)[0][0]); + } + + // Destroy the handle: + e04rz.eval(handle, ifail); + handle = e04rz.getHANDLE(); + } } public static class MONIT extends E04PT.Abstract_E04PT_MONIT { @@ -369,14 +457,6 @@ public void eval() { } } - public static double[] vectorDivScalar(double[] a, double s) { - double[] t = new double[a.length]; - for (int i = 0; i < t.length; i++) { - t[i] = a[i] / s; - } - return t; - } - public static double[][] invertRowColMatrix(double[][] a) { double[][] t = new double[a[0].length][a.length]; for (int i = 0; i < a.length; i++) { @@ -426,7 +506,6 @@ public static double[] convert2DTo1D(double[][] a) { public static double[][] convert1DTo2D(double[] a, int n) { double[][] b = new double[n][a.length / n]; - for (int i = 0; i < b.length; i++) { for (int j = 0; j < b[0].length; j++) { b[i][j] = a[i + j * n]; @@ -435,14 +514,12 @@ public static double[][] convert1DTo2D(double[] a, int n) { return b; } - public static double sum(double[][] a) { - double sum = 0; - for (int i = 0; i < a.length; i++) { - for (int j = 0; j < a[0].length; j++) { - sum += a[i][j]; - } + public static double[] addVectors(double[] a, double[] b) { + double[] t = new double[a.length]; + for (int i = 0; i < t.length; i++) { + t[i] = a[i] + b[i]; } - return sum; + return t; } public static double[][] multiplyMatrices(double[][] firstMatrix, double[][] secondMatrix) { @@ -463,47 +540,6 @@ private static double multiplyMatricesCell(double[][] firstMatrix, double[][] se return cell; } - public static void printArr(String[] a) { - for (int i = 0; i < a.length; i++) { - System.out.printf("%s ", a[i]); - } - System.out.println(); - } - - public static void printMap(Map map) { - for (Map.Entry entry : map.entrySet()) { - System.out.printf("%4s: ", entry.getKey()); - printVector(entry.getValue()); - } - } - - public static void printMatrix(double[][] a) { - printMatrix(a, a.length, a[0].length); - } - - public static void printMatrix(double[][] a, int row, int col) { - for (int i = 0; i < row; i++) { - for (int j = 0; j < col; j++) { - System.out.printf("%11.4e ", a[i][j]); - } - System.out.println(); - } - } - - public static void printVector(double[] a) { - for (int i = 0; i < a.length; i++) { - System.out.printf("%.3e ", a[i]); - } - System.out.println(); - } - - public static void printVector(int[] a) { - for (int i = 0; i < a.length; i++) { - System.out.printf("%4d ", a[i]); - } - System.out.println(); - } - public static void printVectorToFile(double[] a, String fileName) { try { FileWriter writer = new FileWriter(new File(fileName)); From e40a355133d40845eb624008a289146b56b8ab6a Mon Sep 17 00:00:00 2001 From: Christos Date: Mon, 11 Jan 2021 17:24:51 +0200 Subject: [PATCH 029/196] Added simple_examples --- NAGPythonExamples | 1 + README.md | 2 +- simple_examples/A00AAJE.java | 16 ++ simple_examples/A00ACJE.java | 29 +++ simple_examples/A00ADJE.java | 107 +++++++++ simple_examples/C02AAJE.java | 174 +++++++++++++++ simple_examples/C02ABJE.java | 217 ++++++++++++++++++ simple_examples/C02AFJE.java | 271 ++++++++++++++++++++++ simple_examples/C02AGJE.java | 262 ++++++++++++++++++++++ simple_examples/C02AHJE.java | 61 +++++ simple_examples/C02AJJE.java | 65 ++++++ simple_examples/C02AKJE.java | 62 ++++++ simple_examples/C02ALJE.java | 64 ++++++ simple_examples/C02AMJE.java | 75 +++++++ simple_examples/C02ANJE.java | 80 +++++++ simple_examples/C05AUJE.java | 67 ++++++ simple_examples/C05AWJE.java | 59 +++++ simple_examples/C05AYJE.java | 44 ++++ simple_examples/C05AZJE.java | 65 ++++++ simple_examples/C05BBJE.java | 89 ++++++++ simple_examples/C05MBJE.java | 95 ++++++++ simple_examples/C05QBJE.java | 167 ++++++++++++++ simple_examples/C06BAJE.java | 56 +++++ simple_examples/C06FKJE.java | 91 ++++++++ simple_examples/C09AAJE.java | 158 +++++++++++++ simple_examples/D01BDJE.java | 58 +++++ simple_examples/D01RJJE.java | 184 +++++++++++++++ simple_examples/D01RKJE.java | 173 +++++++++++++++ simple_examples/D01RLJE.java | 196 ++++++++++++++++ simple_examples/D01RMJE.java | 163 ++++++++++++++ simple_examples/D01TCJE.java | 45 ++++ simple_examples/D02NEJE.java | 388 ++++++++++++++++++++++++++++++++ simple_examples/D02TLJE.java | 290 ++++++++++++++++++++++++ simple_examples/D03PCJE.java | 217 ++++++++++++++++++ simple_examples/D03RAJE.java | 307 +++++++++++++++++++++++++ simple_examples/D03RBJE.java | 388 ++++++++++++++++++++++++++++++++ simple_examples/D05BAJE.java | 111 +++++++++ simple_examples/D05BEJE.java | 185 +++++++++++++++ simple_examples/DTFSMJE.java | 54 +++++ simple_examples/E01DAJE.java | 182 +++++++++++++++ simple_examples/E02ALJE.java | 101 +++++++++ simple_examples/E04ABJE.java | 76 +++++++ simple_examples/E04BBJE.java | 81 +++++++ simple_examples/E04CBJE.java | 90 ++++++++ simple_examples/E04FCJE.java | 420 +++++++++++++++++++++++++++++++++++ simple_examples/E04FFJE.java | 140 ++++++++++++ simple_examples/E04GBJE.java | 183 +++++++++++++++ simple_examples/E04GGJE.java | 219 ++++++++++++++++++ simple_examples/E04MTJE.java | 132 +++++++++++ simple_examples/E04MXJE.java | 292 ++++++++++++++++++++++++ simple_examples/E04NCJE.java | 246 ++++++++++++++++++++ simple_examples/E04NFJE.java | 234 +++++++++++++++++++ simple_examples/E04NKJE.java | 295 ++++++++++++++++++++++++ simple_examples/E04NQJE.java | 384 ++++++++++++++++++++++++++++++++ simple_examples/E04PTJE.java | 344 ++++++++++++++++++++++++++++ simple_examples/E04RPJE.java | 199 +++++++++++++++++ simple_examples/E04RSJE.java | 229 +++++++++++++++++++ simple_examples/E04RTJE.java | 225 +++++++++++++++++++ simple_examples/E04SAJE.java | 104 +++++++++ simple_examples/E04TAJE.java | 188 ++++++++++++++++ simple_examples/E04TCJE.java | 263 ++++++++++++++++++++++ simple_examples/E04UCJE.java | 211 ++++++++++++++++++ simple_examples/E04YAJE.java | 112 ++++++++++ simple_examples/F01ADJE.java | 39 ++++ simple_examples/F01CKJE.java | 60 +++++ simple_examples/F01CRJE.java | 47 ++++ simple_examples/F01DGJE.java | 72 ++++++ simple_examples/F01ELJE.java | 89 ++++++++ simple_examples/F01EMJE.java | 106 +++++++++ simple_examples/F02EKJE.java | 227 +++++++++++++++++++ simple_examples/F02FKJE.java | 230 +++++++++++++++++++ simple_examples/F02WGJE.java | 132 +++++++++++ simple_examples/F03BAJE.java | 108 +++++++++ simple_examples/F04AMJE.java | 114 ++++++++++ simple_examples/F04BAJE.java | 144 ++++++++++++ simple_examples/F05AAJE.java | 99 +++++++++ simple_examples/F06CLJE.java | 40 ++++ simple_examples/F07AAJE.java | 90 ++++++++ simple_examples/F07ABJE.java | 134 +++++++++++ simple_examples/F07ADJE.java | 72 ++++++ simple_examples/F07AQJE.java | 99 +++++++++ simple_examples/F07FAJE.java | 79 +++++++ simple_examples/F07FBJE.java | 122 ++++++++++ simple_examples/F08BTJE.java | 228 +++++++++++++++++++ simple_examples/F08FAJE.java | 113 ++++++++++ simple_examples/F08XPJE.java | 297 +++++++++++++++++++++++++ simple_examples/G01ALJE.java | 55 +++++ simple_examples/G02AKJE.java | 68 ++++++ simple_examples/G02BJJE.java | 303 +++++++++++++++++++++++++ simple_examples/G02BRJE.java | 134 +++++++++++ simple_examples/G02DAJE.java | 187 ++++++++++++++++ simple_examples/G02EEJE.java | 184 +++++++++++++++ simple_examples/G02MAJE.java | 130 +++++++++++ simple_examples/G03GAJE.java | 355 +++++++++++++++++++++++++++++ simple_examples/G05KFJE.java | 105 +++++++++ simple_examples/G13AWJE.java | 31 +++ simple_examples/G13MEJE.java | 160 +++++++++++++ simple_examples/G13NAJE.java | 123 ++++++++++ simple_examples/H02BBJE.java | 92 ++++++++ simple_examples/H02DAJE.java | 228 +++++++++++++++++++ simple_examples/M01CCJE.java | 42 ++++ simple_examples/S01BAJE.java | 39 ++++ simple_examples/S10AAJE.java | 40 ++++ simple_examples/S10ABJE.java | 41 ++++ simple_examples/S10ACJE.java | 41 ++++ simple_examples/S14ABJE.java | 71 ++++++ simple_examples/S14ACJE.java | 68 ++++++ simple_examples/S14AFJE.java | 80 +++++++ simple_examples/S17DCJE.java | 69 ++++++ simple_examples/S17DGJE.java | 61 +++++ simple_examples/S30AAJE.java | 109 +++++++++ simple_examples/S30ACJE.java | 129 +++++++++++ simple_examples/X03AAJE.java | 87 ++++++++ simple_examples/X04CBJE.java | 53 +++++ simple_examples/X05ABJE.java | 25 +++ 115 files changed, 15936 insertions(+), 1 deletion(-) create mode 160000 NAGPythonExamples create mode 100644 simple_examples/A00AAJE.java create mode 100644 simple_examples/A00ACJE.java create mode 100644 simple_examples/A00ADJE.java create mode 100644 simple_examples/C02AAJE.java create mode 100644 simple_examples/C02ABJE.java create mode 100644 simple_examples/C02AFJE.java create mode 100644 simple_examples/C02AGJE.java create mode 100644 simple_examples/C02AHJE.java create mode 100644 simple_examples/C02AJJE.java create mode 100644 simple_examples/C02AKJE.java create mode 100644 simple_examples/C02ALJE.java create mode 100644 simple_examples/C02AMJE.java create mode 100644 simple_examples/C02ANJE.java create mode 100644 simple_examples/C05AUJE.java create mode 100644 simple_examples/C05AWJE.java create mode 100644 simple_examples/C05AYJE.java create mode 100644 simple_examples/C05AZJE.java create mode 100644 simple_examples/C05BBJE.java create mode 100644 simple_examples/C05MBJE.java create mode 100644 simple_examples/C05QBJE.java create mode 100644 simple_examples/C06BAJE.java create mode 100644 simple_examples/C06FKJE.java create mode 100644 simple_examples/C09AAJE.java create mode 100644 simple_examples/D01BDJE.java create mode 100644 simple_examples/D01RJJE.java create mode 100644 simple_examples/D01RKJE.java create mode 100644 simple_examples/D01RLJE.java create mode 100644 simple_examples/D01RMJE.java create mode 100644 simple_examples/D01TCJE.java create mode 100644 simple_examples/D02NEJE.java create mode 100644 simple_examples/D02TLJE.java create mode 100644 simple_examples/D03PCJE.java create mode 100644 simple_examples/D03RAJE.java create mode 100644 simple_examples/D03RBJE.java create mode 100644 simple_examples/D05BAJE.java create mode 100644 simple_examples/D05BEJE.java create mode 100644 simple_examples/DTFSMJE.java create mode 100644 simple_examples/E01DAJE.java create mode 100644 simple_examples/E02ALJE.java create mode 100644 simple_examples/E04ABJE.java create mode 100644 simple_examples/E04BBJE.java create mode 100644 simple_examples/E04CBJE.java create mode 100644 simple_examples/E04FCJE.java create mode 100644 simple_examples/E04FFJE.java create mode 100644 simple_examples/E04GBJE.java create mode 100644 simple_examples/E04GGJE.java create mode 100644 simple_examples/E04MTJE.java create mode 100644 simple_examples/E04MXJE.java create mode 100644 simple_examples/E04NCJE.java create mode 100644 simple_examples/E04NFJE.java create mode 100644 simple_examples/E04NKJE.java create mode 100644 simple_examples/E04NQJE.java create mode 100644 simple_examples/E04PTJE.java create mode 100644 simple_examples/E04RPJE.java create mode 100644 simple_examples/E04RSJE.java create mode 100644 simple_examples/E04RTJE.java create mode 100644 simple_examples/E04SAJE.java create mode 100644 simple_examples/E04TAJE.java create mode 100644 simple_examples/E04TCJE.java create mode 100644 simple_examples/E04UCJE.java create mode 100644 simple_examples/E04YAJE.java create mode 100644 simple_examples/F01ADJE.java create mode 100644 simple_examples/F01CKJE.java create mode 100644 simple_examples/F01CRJE.java create mode 100644 simple_examples/F01DGJE.java create mode 100644 simple_examples/F01ELJE.java create mode 100644 simple_examples/F01EMJE.java create mode 100644 simple_examples/F02EKJE.java create mode 100644 simple_examples/F02FKJE.java create mode 100644 simple_examples/F02WGJE.java create mode 100644 simple_examples/F03BAJE.java create mode 100644 simple_examples/F04AMJE.java create mode 100644 simple_examples/F04BAJE.java create mode 100644 simple_examples/F05AAJE.java create mode 100644 simple_examples/F06CLJE.java create mode 100644 simple_examples/F07AAJE.java create mode 100644 simple_examples/F07ABJE.java create mode 100644 simple_examples/F07ADJE.java create mode 100644 simple_examples/F07AQJE.java create mode 100644 simple_examples/F07FAJE.java create mode 100644 simple_examples/F07FBJE.java create mode 100644 simple_examples/F08BTJE.java create mode 100644 simple_examples/F08FAJE.java create mode 100644 simple_examples/F08XPJE.java create mode 100644 simple_examples/G01ALJE.java create mode 100644 simple_examples/G02AKJE.java create mode 100644 simple_examples/G02BJJE.java create mode 100644 simple_examples/G02BRJE.java create mode 100644 simple_examples/G02DAJE.java create mode 100644 simple_examples/G02EEJE.java create mode 100644 simple_examples/G02MAJE.java create mode 100644 simple_examples/G03GAJE.java create mode 100644 simple_examples/G05KFJE.java create mode 100644 simple_examples/G13AWJE.java create mode 100644 simple_examples/G13MEJE.java create mode 100644 simple_examples/G13NAJE.java create mode 100644 simple_examples/H02BBJE.java create mode 100644 simple_examples/H02DAJE.java create mode 100644 simple_examples/M01CCJE.java create mode 100644 simple_examples/S01BAJE.java create mode 100644 simple_examples/S10AAJE.java create mode 100644 simple_examples/S10ABJE.java create mode 100644 simple_examples/S10ACJE.java create mode 100644 simple_examples/S14ABJE.java create mode 100644 simple_examples/S14ACJE.java create mode 100644 simple_examples/S14AFJE.java create mode 100644 simple_examples/S17DCJE.java create mode 100644 simple_examples/S17DGJE.java create mode 100644 simple_examples/S30AAJE.java create mode 100644 simple_examples/S30ACJE.java create mode 100644 simple_examples/X03AAJE.java create mode 100644 simple_examples/X04CBJE.java create mode 100644 simple_examples/X05ABJE.java diff --git a/NAGPythonExamples b/NAGPythonExamples new file mode 160000 index 0000000..c301999 --- /dev/null +++ b/NAGPythonExamples @@ -0,0 +1 @@ +Subproject commit c301999c02afc152546db595f2680265c95a18e5 diff --git a/README.md b/README.md index 0974dd6..d8659fd 100644 --- a/README.md +++ b/README.md @@ -11,7 +11,7 @@ This repository contains examples and demonstrations using the [NAG Library for ## Examples that ship with the product -The NAG Library for Java ships with a set of usage [examples](). +The NAG Library for Java ships with a set of usage [examples](./simple_examples). ## Prerequisites diff --git a/simple_examples/A00AAJE.java b/simple_examples/A00AAJE.java new file mode 100644 index 0000000..65b6c18 --- /dev/null +++ b/simple_examples/A00AAJE.java @@ -0,0 +1,16 @@ +import com.nag.routines.A00.A00AA; + +/** + * A00AA example program text. + */ +public class A00AAJE { + + public static void main(String[] args) { + A00AA a00aa = new A00AA(); + + System.out.println(" A00AAJ Example Program Results\n"); + a00aa.eval(); + + } + +} diff --git a/simple_examples/A00ACJE.java b/simple_examples/A00ACJE.java new file mode 100644 index 0000000..7f44ba3 --- /dev/null +++ b/simple_examples/A00ACJE.java @@ -0,0 +1,29 @@ +import com.nag.routines.A00.A00AC; + +/** + * A00AC example program text. + * @author Mo + */ +public class A00ACJE { + + public static void main(String[] args) { + A00AC a00ac = new A00AC(); + boolean lmok; + + System.out.println(" A00ACJ Example Program Results\n"); + System.out.println(); + + a00ac.eval(); + + lmok = a00ac.eval(); + + if (lmok) { + System.out.println("A valid licence key is available"); + } + else { + System.out.println("No valid licence key was found"); + } + + } + +} diff --git a/simple_examples/A00ADJE.java b/simple_examples/A00ADJE.java new file mode 100644 index 0000000..139c8b9 --- /dev/null +++ b/simple_examples/A00ADJE.java @@ -0,0 +1,107 @@ +import com.nag.routines.A00.A00AD; +import com.nag.routines.X05.X05AA; +import java.util.Arrays; + +/** + * A00AD example program text. + */ +public class A00ADJE { + + public static void main(String[] args) { + + A00AD a00ad = new A00AD(); + X05AA x05aa = new X05AA(); + int i, mkmaj, mkmin; + boolean licval; + String fcomp, hdware, impl, opsys, pcode, prec, vend; + int[] itime = new int[7]; + + // Instantiate arguments + mkmaj = 0; + mkmin = 0; + licval = false; + + // Strings must be length expected by Fortran + fcomp = getBlankString(80); + hdware = getBlankString(80); + impl = getBlankString(80); + opsys = getBlankString(80); + pcode = getBlankString(80); + prec = getBlankString(80); + vend = getBlankString(80); + + System.out.println(" A00ADJ Example Program Results\n"); + + a00ad.eval(impl, prec, pcode, mkmaj, mkmin, hdware, opsys, fcomp, vend, licval); + + // Output scalars must be retrieved manually + impl = a00ad.getIMPL(); + prec = a00ad.getPREC(); + pcode = a00ad.getPCODE(); + mkmaj = a00ad.getMKMAJ(); + mkmin = a00ad.getMKMIN(); + hdware = a00ad.getHDWARE(); + opsys = a00ad.getOPSYS(); + fcomp = a00ad.getFCOMP(); + vend = a00ad.getVEND(); + licval = a00ad.getLICVAL(); + + // Print implementation details + + System.out.println("*** Start of NAG Library implementation details ***"); + System.out.println(); + System.out.println("Implementation title: " + impl.trim()); + System.out.println(" Precision: " + prec.trim()); + System.out.println(" Product code: " + pcode.trim()); + + if (mkmin < 10) { + System.out.printf(" Mark: %2d.%1d\n", mkmaj, mkmin); + } + else { + System.out.printf(" Mark: %2d.%2d\n", mkmaj, mkmin); + } + + if (vend.trim().equals("(self-contained)")) { + System.out.println(" Vendor Library: None"); + } + else { + System.out.println(" Vendor Library: " + vend.trim()); + } + + System.out.println("Applicable to:"); + System.out.println(" hardware: " + hdware.trim()); + System.out.println(" operating system: " + opsys.trim()); + System.out.println(" Fortran compiler: " + fcomp.trim()); + System.out.println("and compatible systems."); + + if (!licval) { + System.out.println(" Licence query: Unsuccessful"); + } + else { + System.out.println(" Licence query: Successful"); + } + + System.out.println(); + System.out.println("*** End of NAG Library implementation details ***"); + + } + + /** + * Returns a new String, filled with spaces to the specified length. + * + * @param len the required length of the String + * @return a blank String of the specified length + */ + public static String getBlankString(int len) { + + if (len > 0) { + char[] arr = new char[len]; + Arrays.fill(arr, ' '); + return new String(arr); + } + + return ""; + + } + +} diff --git a/simple_examples/C02AAJE.java b/simple_examples/C02AAJE.java new file mode 100644 index 0000000..1abc528 --- /dev/null +++ b/simple_examples/C02AAJE.java @@ -0,0 +1,174 @@ +import com.nag.routines.C02.C02AA; +import com.nag.routines.Routine; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X02.X02AL; +import com.nag.types.NAGComplex; +import java.util.Arrays; + +/** + * C02AA example program text. + * @author joed + * @since 27.1.0.0 + */ +public class C02AAJE { + + public static void main(String[] args) { + + System.out.println(" C02AAJ Example Program Results"); + + Routine.setComplex(new NAGComplex()); + exampleBasic(); + examplePolishing(); + + System.out.println(); + + } + + /** Demonstrate a basic problem. */ + public static void exampleBasic() { + + C02AA c02aa = new C02AA(); + int ifail, itmax, n, polish; + NAGComplex[] a, z; + double[] berr, cond; + int[] conv; + + System.out.println(); + System.out.println("Example 1: Basic Problem"); + System.out.println(); + + // Set polynomial degree and instantiate arrays + n = 5; + a = new NAGComplex[n+1]; + berr = new double[n]; + cond = new double[n]; + conv = new int[n]; + z = NAGComplex.createArray(n); + + // Set polynomial coefficients + a[0] = new NAGComplex(5.0, 6.0); + a[1] = new NAGComplex(30.0, 20.0); + a[2] = new NAGComplex(-0.2, -6.0); + a[3] = new NAGComplex(50.0, 100000.0); + a[4] = new NAGComplex(-2.0, 40.0); + a[5] = new NAGComplex(10.0, 1.0); + + // Find roots of the polynomial + itmax = 30; + polish = 1; + ifail = 0; + c02aa.eval(a, n, itmax, polish, z, berr, cond, conv, ifail); + + // Print output + System.out.println(" i z conv berr cond "); + System.out.println(" ---------------------------------------------------"); + for (int i = 0; i < n; i++) { + System.out.printf(" %2d %9.2E, %9.2E %3d %9.2E %9.2E\n", i+1, + z[i].getRe(), z[i].getIm(), conv[i], berr[i], cond[i]); + } + + } + + /** Compare polishing processes on a Wilkinson-style polynomial. */ + public static void examplePolishing() { + + C02AA c02aa = new C02AA(); + X02AJ x02aj = new X02AJ(); + X02AL x02al = new X02AL(); + NAGComplex pz; + double delta, eps, err, fwderr, maxfwderr, maxrelerr, relerr, rmax; + int ifail, itmax, k, n, polish; + NAGComplex[] a, z, zact; + double[] berr, cond; + int[] conv; + boolean[] matched; + + System.out.println(); + System.out.println("Example 2: Polishing Processes"); + System.out.println(); + + // Set polynomial degree and instantiate + n = 10; + a = new NAGComplex[n+1]; + berr = new double[n]; + cond = new double[n]; + conv = new int[n]; + matched = new boolean[n]; + z = new NAGComplex[n]; + zact = new NAGComplex[n]; + + // Set known roots and (instantiate z) + for (int i = 0; i < n; i++) { + zact[i] = new NAGComplex((double) i+1, 0.0); + z[i] = new NAGComplex(); + } + + // Multiply out (z-1)(z-2)...(z-n) for coefficients + for (int i = 0; i < n; i++) { + a[i] = new NAGComplex(); + } + a[n] = new NAGComplex(1.0, 0.0); + for (int i = 0; i < n; i++) { + for (int j = 0; j < n; j++) { + a[j] = a[j+1].subtract(a[j].multiply(zact[i])); + } + a[n] = a[n].negate().multiply(zact[i]); + } + + System.out.println(" polish relerr fwderr "); + System.out.println(" ----------------------------"); + + itmax = 30; + eps = x02aj.eval(); + rmax = x02al.eval(); + + for (polish = 0; polish <= 2; polish++) { + + // Find roots + ifail = 0; + c02aa.eval(a, n, itmax, polish, z, berr, cond, conv, ifail); + + /* Calculate the maximum relative errors of the roots, and the maximum + * forward error evaluating the polynomial at those roots. Errors are + * capped at machine precision. */ + maxrelerr = maxfwderr = eps; + Arrays.fill(matched, false); + + for (int i = 0; i < n; i++) { + + // Evaluate polynomial at this root + pz = a[0].clone(); + for (int j = 1; j <= n; j++) { + pz = z[i].multiply(pz).add(a[j]); + } + + // Match to an expected root + k = 0; + err = rmax; + for (int j = 0; j < n; j++) { + if (!matched[j]) { + delta = z[i].subtract(zact[j]).abs(); + if (delta <= err) { + err = delta; + k = j; + } + } + } + + // Mark as matched and update max errors + matched[k] = true; + relerr = err/zact[k].abs(); + fwderr = pz.abs(); + maxrelerr = Math.max(maxrelerr, relerr); + maxfwderr = Math.max(maxfwderr, fwderr); + + } + + // Print output + System.out.printf(" %2d %10.2E%10.2E\n", polish, maxrelerr, maxfwderr); + + } + + } + +} diff --git a/simple_examples/C02ABJE.java b/simple_examples/C02ABJE.java new file mode 100644 index 0000000..fad5ebb --- /dev/null +++ b/simple_examples/C02ABJE.java @@ -0,0 +1,217 @@ +import com.nag.routines.C02.C02AB; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X02.X02AL; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * C02AB + */ +public class C02ABJE { + + public static void main(String[] args) { + + final boolean polish_example = false; + + Routine.setComplex(new NAGComplex()); + + System.out.println(" C02ABJ Example Program Results"); + + ex1_basic(args); + if (polish_example) { + ex2_polishing(args); + } + } + + public static void ex1_basic(String[] args) { + + int i, ifail, itmax, n = 0, polish; + + NAGComplex[] z = null; + double[] a = null, berr = null, cond = null; + int[] conv = null; + + System.out.println("\n Basic Problem\n"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading in data file + String line = reader.readLine(); + line = reader.readLine(); + line = reader.readLine(); + + // Read polynomial degree and allocate + line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + a = new double[n + 1]; + berr = new double[n]; + cond = new double[n]; + conv = new int[n]; + z = NAGComplex.createArray(n); + + // Read polynomial coefficients + for (i = 0; i <= n; i++) { + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + a[i] = Double.parseDouble(sVal[0]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Find roots of the polynomial + itmax = 30; + polish = 1; + ifail = 0; + C02AB c02ab = new C02AB(); + c02ab.eval(a ,n, itmax, polish, z, berr, cond, conv, ifail); + + // Print output + System.out.println(" i z conv berr cond"); + System.out.println(" -----------------------------------------------------"); + for (i = 0; i < n; i++) { + System.out.printf(" %2d (%10.2E, %9.2E) %3d %9.2E %9.2E\n", i+1, z[i].getRe(), z[i].getIm(), conv[i], berr[i], cond[i]); + } + } + + public static void ex2_polishing(String[] args) { + NAGComplex pz = new NAGComplex(); + double delta, eps, err, fwderr, maxfwderr, maxrelerr, relerr, rmax; + int i, ifail, itmax, j, k, n = 0, polish; + + NAGComplex[] z = null, zact = null; + double[] a = null, berr = null, cond = null; + int[] conv = null; + boolean[] matched = null; + + System.out.println("\n Polishing Processes\n"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading and previous example in data file + for (i = 0; i <= 12; i++) { + reader.readLine(); + } + + // Read polynomial degree and allocate + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + + a = new double[n + 1]; + berr = new double[n]; + cond = new double[n]; + conv = new int[n]; + matched = new boolean[n]; + z = NAGComplex.createArray(n); + zact = NAGComplex.createArray(n); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Set known roots + for (i = 0; i < n; i++) { + zact[i] = new NAGComplex((double) (i + 1), 0.0); + } + + // Multiply out (z-1)(z-2)...(z-n) for coefficients + for (i = 0; i < n; i++) { + a[i] = 0.0; + } + a[n] = 1.0; + for (i = 0; i < n; i++) { + for (j = 0; j < n; j++) { + a[j] = a[j + 1] - a[j] * zact[i].getRe(); + } + a[n] = -a[n] * zact[i].getRe(); + } + + System.out.println(" polish relerr fwderr"); + System.out.println(" ----------------------------"); + + // Use different polish modes + X02AJ x02aj = new X02AJ(); + X02AL x02al = new X02AL(); + for (polish = 0; polish <= 2; polish++) { + + itmax = 30; + eps = x02aj.eval(); + rmax = x02al.eval(); + + // Find roots + ifail = 0; + C02AB c02ab = new C02AB(); + c02ab.eval(a, n , itmax, polish, z, berr, cond, conv, ifail); + + // Calculate the maximum relative errors of the roots, and the maximum + // forward error evaluating the polynomial at those roots. Errors are + // capped at machine precision. + maxrelerr = eps; + maxfwderr = eps; + Arrays.fill(matched, false); + + for (i = 0; i < n; i++) { + // Evaluate polynomial at this root + pz = new NAGComplex(a[0], 0.0); + for (j = 1; j <= n; j++) { + pz = z[i].multiply(pz).add(new NAGComplex(a[j], 0.0)); + } + + // Match to an expected root + k = 0; + err = rmax; + for (j = 0; j < n; j++) { + if (!matched[j]) { + delta = z[i].subtract(zact[j]).abs(); + if (delta <= err) { + err = delta; + k = j; + } + } + } + + // Mark as matched and update max errors + matched[k] = true; + relerr = err/zact[k].abs(); + fwderr = pz.abs(); + maxrelerr = Math.max(maxrelerr, relerr); + maxfwderr = Math.max(maxfwderr, fwderr); + } + + // Print output + System.out.printf(" %2d %10.2E%10.2E\n", polish, maxrelerr, maxfwderr); + + } + } +} diff --git a/simple_examples/C02AFJE.java b/simple_examples/C02AFJE.java new file mode 100644 index 0000000..6043be7 --- /dev/null +++ b/simple_examples/C02AFJE.java @@ -0,0 +1,271 @@ +import com.nag.routines.C02.C02AF; +import com.nag.routines.A02.A02AB; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X02.X02AL; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * C02AF + */ +public class C02AFJE { + + public static final boolean scal = true; + + public static void main(String[] args) { + + System.out.println(" C02AFJ Example Program Results"); + + ex1(args); + + ex2(args); + } + + public static void ex1(String[] args) { + + int i, ifail, n = 0; + + double[][] a = null, z = null; + double[] w = null; + + System.out.println("\n\n Example 1"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading in data file + reader.readLine(); + reader.readLine(); + reader.readLine(); + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + + a = new double[2][n + 1]; + w = new double[4 * (n + 1)]; + z = new double[2][n]; + + for (i = 0; i <= n; i++) { + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + a[0][i] = Double.parseDouble(sVal[0]); + a[1][i] = Double.parseDouble(sVal[1]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = 0; + C02AF c02af = new C02AF(); + double[] a1d = convert2DTo1D(a); + double[] z1d = convert2DTo1D(z); + c02af.eval(a1d, n, scal, z1d, w, ifail); + + z = convert1DTo2D(z1d, 2); + + System.out.println(); + System.out.printf(" Degree of polynomial = %4d\n", n); + System.out.println(); + System.out.println(" Computed roots of polynomial"); + System.out.println(); + + for (i = 0; i < n; i++) { + System.out.printf(" z = %12.4E%+12.4E*i\n", z[0][i], z[1][i]); + } + + } + + public static void ex2(String[] args) { + + double deltac, deltai, di, eps, epsbar, f, r1, r2, r3, rmax; + int i, ifail, j, jmin = 0, n = 0; + + double[][] a = null, abar = null, z = null, zbar = null; + double[] r = null, w = null; + int[] m = null; + + System.out.println("\n\n Example 2"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading and previous example in data file + for (i = 0; i < 12; i++) { + reader.readLine(); + } + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + a = new double[2][n + 1]; + abar = new double[2][n + 1]; + r = new double[n]; + w = new double[4 * (n + 1)]; + z = new double[2][n]; + zbar = new double[2][n]; + m = new int[n]; + + // Read in the coefficients of the original polynomial. + for (i = 0; i <= n; i++) { + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + a[0][i] = Double.parseDouble(sVal[0]); + a[1][i] = Double.parseDouble(sVal[1]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Compute the roots of the original polynomial. + ifail = 0; + C02AF c02af = new C02AF(); + double[] a1d = convert2DTo1D(a); + double[] z1d = convert2DTo1D(z); + c02af.eval(a1d, n, scal, z1d, w, ifail); + + z = convert1DTo2D(z1d, 2); + + // Form the coefficients of the perturbed polynomial. + X02AJ x02aj = new X02AJ(); + eps = x02aj.eval(); + epsbar = 3.0 * eps; + + for (i = 0; i <= n; i++) { + if (a[0][i] != 0.0E0) { + f = 1.0E0 + epsbar; + epsbar = -epsbar; + abar[0][i] = f * a[0][i]; + + if (a[1][i] != 0.0E0) { + abar[1][i] = f * a[1][i]; + } else { + abar[1][i] = 0.0E0; + } + + } else { + + if (a[1][i] != 0.0E0) { + f = 1.0E0 + epsbar; + epsbar = -epsbar; + abar[1][i] = f * a[1][i]; + } else { + abar[1][i] = 0.0E0; + } + } + } + + // Compute the roots of the perturbed polynomial. + ifail = 0; + double[] abar1d = convert2DTo1D(abar); + double[] zbar1d = convert2DTo1D(zbar); + c02af.eval(abar1d, n, scal, zbar1d, w, ifail); + + zbar = convert1DTo2D(zbar1d, 2); + + // Perform error analysis. + + // Initialize markers to 0 (unmarked). + Arrays.fill(m, 0); + X02AL x02al = new X02AL(); + rmax = x02al.eval(); + + // Loop over all unperturbed roots (stored in Z). + A02AB a02ab = new A02AB(); + for (i = 0; i < n; i++) { + deltai = rmax; + r1 = a02ab.eval(z[0][i], z[1][i]); + + // Loop over all perturbed roots (stored in ZBAR). + for (j = 0; j < n; j++) { + // Compare the current unperturbed root to all unmarked + // perturbed roots. + + if (m[j] == 0) { + r2 = a02ab.eval(zbar[0][j], zbar[1][j]); + deltac = Math.abs(r1 - r2); + + if (deltac < deltai) { + deltai = deltac; + jmin = j; + } + } + } + + // Mark the selected perturbed root. + m[jmin] = 1; + + // Compute the relative error. + if (r1 != 0.0E0) { + r3 = a02ab.eval(zbar[0][jmin], zbar[1][jmin]); + di = Math.min(r1, r3); + r[i] = Math.max(deltai / Math.max(di, deltai / rmax), eps); + } else { + r[i] = 0.0E0; + } + } + + System.out.println(); + System.out.printf(" Degree of polynomial = %4d\n", n); + System.out.println(); + System.out.println(" Computed roots of polynomial Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < n; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", z[0][i], z[1][i], r[i]); + } + + } + + public static double[] convert2DTo1D(double[][] a) { + double[] b = new double[a.length * a[0].length]; + int n = a.length; + + for (int i = 0; i < a.length; i++) { + for (int j = 0; j < a[0].length; j++) { + b[i + j*n] = a[i][j]; + } + } + + return b; + } + + public static double[][] convert1DTo2D(double[] a, int n) { + double[][] b = new double[n][a.length / n]; + + for (int i = 0; i < b.length; i++) { + for (int j = 0; j < b[0].length; j++) { + b[i][j] = a[i + j*n]; + } + } + + return b; + } +} diff --git a/simple_examples/C02AGJE.java b/simple_examples/C02AGJE.java new file mode 100644 index 0000000..c58e524 --- /dev/null +++ b/simple_examples/C02AGJE.java @@ -0,0 +1,262 @@ +import com.nag.routines.C02.C02AG; +import com.nag.routines.A02.A02AB; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X02.X02AL; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * C02AG + */ +public class C02AGJE { + + public static final boolean scal = true; + + public static void main(String[] args) { + + System.out.println(" C02AGJ Example Program Results"); + + ex1(args); + + ex2(args); + } + + public static void ex1(String[] args) { + double zi, zr; + int i, ifail, n = 0, nroot; + + double[] a = null, w = null; + double[][] z = null; + + System.out.println("\n\n Example 1\n"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading in data file + reader.readLine(); + reader.readLine(); + reader.readLine(); + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + a = new double[n + 1]; + w = new double[2 * (n + 1)]; + z = new double[2][n]; + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i <= n; i++) { + a[i] = Double.parseDouble(sVal[i]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + System.out.println(); + System.out.printf(" Degree of polynomial = %4d\n", n); + System.out.println(); + + ifail = 0; + C02AG c02ag = new C02AG(); + double[] z1d = convert2DTo1D(z); + c02ag.eval(a, n, scal, z1d, w, ifail); + + z = convert1DTo2D(z1d, 2); + + System.out.println(" Computed roots of polynomial"); + System.out.println(); + + nroot = 0; + + while (nroot < n) { + zr = z[0][nroot]; + zi = z[1][nroot]; + if (zi == 0.0E0) { + System.out.printf(" z = %12.4E\n", zr); + nroot += 1; + } else { + System.out.printf(" z = %12.4E +/- %12.4E*i\n", zr, Math.abs(zi)); + nroot += 2; + } + } + } + + public static void ex2(String[] args) { + + double deltac, deltai, di, eps, epsbar, f, r1, r2, r3, rmax; + int i, ifail, j, jmin = 0, n = 0; + + double[] a = null, abar = null, r = null, w = null; + double[][] z = null, zbar = null; + int[] m = null; + + System.out.println("\n\n Example 2"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading and previous example in data file + for (i = 0; i < 7; i++) { + reader.readLine(); + } + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + + a = new double[n+1]; + abar = new double[n+1]; + r = new double[n]; + w = new double[2 * (n+1)]; + z = new double[2][n]; + zbar = new double[2][n]; + m = new int[n]; + + // Read in the coefficients of the original polynomial. + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i <= n; i++) { + a[i] = Double.parseDouble(sVal[i]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Compute the roots of the original polynomial. + ifail = 0; + C02AG c02ag = new C02AG(); + double[] z1d = convert2DTo1D(z); + c02ag.eval(a, n, scal, z1d ,w, ifail); + + z = convert1DTo2D(z1d, 2); + + // Form the coefficients of the perturbed polynomial. + X02AJ x02aj = new X02AJ(); + eps = x02aj.eval(); + epsbar= 3.0 * eps; + + for (i = 0; i <= n; i++) { + if (a[i] != 0.0) { + f = 1.0 + epsbar; + epsbar = -epsbar; + abar[i] = f * a[i]; + } else { + abar[i] = 0.0E0; + } + } + + // Compute the roots of the perturbed polynomial. + ifail = 0; + double[] zbar1d = convert2DTo1D(zbar); + c02ag.eval(abar, n, scal, zbar1d, w, ifail); + + zbar = convert1DTo2D(zbar1d, 2); + + // Perform error analysis. + + // Initialize markers to 0 (unmarked). + Arrays.fill(m, 0); + + X02AL x02al = new X02AL(); + rmax = x02al.eval(); + + // Loop over all unperturbed roots (stored in Z). + A02AB a02ab = new A02AB(); + for (i = 0; i < n; i++) { + deltai = rmax; + r1 = a02ab.eval(z[0][i], z[1][i]); + + // Loop over all perturbed roots (stored in ZBAR). + for (j = 0; j < n; j++) { + // Compare the current unperturbed root to all unmarked + // perturbed roots. + + if (m[j] == 0) { + r2 = a02ab.eval(zbar[0][i], zbar[1][i]); + deltac = Math.abs(r1-r2); + + if (deltac < deltai) { + deltai = deltac; + jmin = j; + } + } + } + + // Mark the selected perturbed root. + m[jmin] = 1; + + // Compute the relative error. + if (r1 != 0.0E0) { + r3 = a02ab.eval(zbar[0][jmin], zbar[1][jmin]); + di = Math.min(r1, r3); + r[i] = Math.max(deltai / Math.max(di, deltai / rmax), eps); + } else { + r[i] = 0.0; + } + } + + System.out.println(); + System.out.printf(" Degree of polynomial = %4d\n", n); + System.out.println(); + System.out.println(" Computed roots of polynomial Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < n; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", z[0][i], z[1][i], r[i]); + } + } + + public static double[] convert2DTo1D(double[][] a) { + double[] b = new double[a.length * a[0].length]; + int n = a.length; + + for (int i = 0; i < a.length; i++) { + for (int j = 0; j < a[0].length; j++) { + b[i + j * n] = a[i][j]; + } + } + + return b; + } + + public static double[][] convert1DTo2D(double[] a, int n) { + double[][] b = new double[n][a.length / n]; + + for (int i = 0; i < b.length; i++) { + for (int j = 0; j < b[0].length; j++) { + b[i][j] = a[i + j * n]; + } + } + + return b; + } +} diff --git a/simple_examples/C02AHJE.java b/simple_examples/C02AHJE.java new file mode 100644 index 0000000..b1e12cd --- /dev/null +++ b/simple_examples/C02AHJE.java @@ -0,0 +1,61 @@ +import com.nag.routines.C02.C02AH; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AH + */ +public class C02AHJE { + + public static void main(String[] args) { + + double ai = 0, ar = 0, bi = 0, br = 0, ci = 0, cr = 0; + int ifail; + + double[] zlg = new double[2]; + double[] zsm = new double[2]; + + System.out.println(" C02AHJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + ar = Double.parseDouble(sVal[0]); + ai = Double.parseDouble(sVal[1]); + br = Double.parseDouble(sVal[2]); + bi = Double.parseDouble(sVal[3]); + cr = Double.parseDouble(sVal[4]); + ci = Double.parseDouble(sVal[5]); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = -1; + C02AH c02ah = new C02AH(); + c02ah.eval(ar, ai, br, bi, cr, ci, zsm, zlg, ifail); + ifail = c02ah.getIFAIL(); + + if (ifail == 0) { + System.out.println("\n Roots of quadratic equation\n"); + System.out.printf(" z = %12.4E%+14.4E*i\n", zsm[0], zsm[1]); + System.out.printf(" z = %12.4E%+14.4E*i\n", zlg[0], zlg[1]); + } + } +} diff --git a/simple_examples/C02AJJE.java b/simple_examples/C02AJJE.java new file mode 100644 index 0000000..64e3a5e --- /dev/null +++ b/simple_examples/C02AJJE.java @@ -0,0 +1,65 @@ +import com.nag.routines.C02.C02AJ; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AJ + */ +public class C02AJJE { + + public static void main(String[] args) { + + double a = 0, b = 0, c = 0; + int ifail; + + double[] zlg = new double[2]; + double[] zsm = new double[2]; + + System.out.println(" C02AJJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + a = Double.parseDouble(sVal[0]); + b = Double.parseDouble(sVal[1]); + c = Double.parseDouble(sVal[2]); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = -1; + C02AJ c02aj = new C02AJ(); + c02aj.eval(a, b, c, zsm, zlg, ifail); + ifail = c02aj.getIFAIL(); + + if (ifail == 0) { + System.out.println("\n Roots of quadratic equation\n"); + + if (zsm[1] == 0.0E0) { + // 2 real roots. + System.out.printf(" z = %12.4E\n", zsm[0]); + System.out.printf(" z = %12.4E\n", zlg[0]); + } else { + // 2 complex roots. + System.out.printf(" z = %12.4E +/- %12.4E*i", zsm[0], Math.abs(zsm[1])); + } + } + } +} diff --git a/simple_examples/C02AKJE.java b/simple_examples/C02AKJE.java new file mode 100644 index 0000000..4a0579f --- /dev/null +++ b/simple_examples/C02AKJE.java @@ -0,0 +1,62 @@ +import com.nag.routines.C02.C02AK; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AK + */ +public class C02AKJE { + + public static void main(String[] args) { + + double r = 0, s = 0, t = 0, u = 0; + int i, ifail; + + double[] errest = new double[3]; + double[] zeroi = new double[3]; + double[] zeror = new double[3]; + + System.out.println(" C02AKJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + u = Double.parseDouble(sVal[0]); + r = Double.parseDouble(sVal[1]); + s = Double.parseDouble(sVal[2]); + t = Double.parseDouble(sVal[3]); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = 0; + C02AK c02ak = new C02AK(); + c02ak.eval(u, r, s, t, zeror, zeroi, errest, ifail); + + System.out.println(); + System.out.println(" Roots of cubic equation Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < 3; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); + } + } +} diff --git a/simple_examples/C02ALJE.java b/simple_examples/C02ALJE.java new file mode 100644 index 0000000..4f9eac9 --- /dev/null +++ b/simple_examples/C02ALJE.java @@ -0,0 +1,64 @@ +import com.nag.routines.C02.C02AL; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AL + */ +public class C02ALJE { + + public static void main(String[] args) { + + double a = 0, b = 0, c = 0, d = 0, e = 0; + int i, ifail; + + double[] errest = new double[4]; + double[] zeroi = new double[4]; + double[] zeror = new double[4]; + + System.out.println(" C02ALJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + e = Double.parseDouble(sVal[0]); + a = Double.parseDouble(sVal[1]); + b = Double.parseDouble(sVal[2]); + c = Double.parseDouble(sVal[3]); + d = Double.parseDouble(sVal[4]); + + } catch (FileNotFoundException e_exception) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e_exception) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e_exception.getMessage()); + } + + ifail = 0; + C02AL c02al = new C02AL(); + c02al.eval(e, a, b, c, d, zeror, zeroi, errest, ifail); + ifail = c02al.getIFAIL(); + + System.out.println(); + System.out.println(" Roots of quartic equation Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < 4; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); + } + } +} diff --git a/simple_examples/C02AMJE.java b/simple_examples/C02AMJE.java new file mode 100644 index 0000000..f1fffa4 --- /dev/null +++ b/simple_examples/C02AMJE.java @@ -0,0 +1,75 @@ +import com.nag.routines.C02.C02AM; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AM + */ +public class C02AMJE { + + public static void main(String[] args) { + + Routine.setComplex(new NAGComplex()); + + NAGComplex r = null, s = null, t = null, u = null; + int i, ifail; + + double[] errest = new double[3]; + double[] zeroi = new double[3]; + double[] zeror = new double[3]; + + System.out.println(" C02AMJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine().replaceAll("[(),]", ""); + String[] sVal = line.trim().split("\\s+"); + u = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + r = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + s = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + t = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = 0; + C02AM c02am = new C02AM(); + c02am.eval(u, r, s, t, zeror, zeroi, errest, ifail); + + System.out.println(); + System.out.println(" Roots of cubic equation Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < 3; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); + } + } +} diff --git a/simple_examples/C02ANJE.java b/simple_examples/C02ANJE.java new file mode 100644 index 0000000..dc865e2 --- /dev/null +++ b/simple_examples/C02ANJE.java @@ -0,0 +1,80 @@ +import com.nag.routines.C02.C02AN; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AN + */ +public class C02ANJE { + + public static void main(String[] args) { + + Routine.setComplex(new NAGComplex()); + + NAGComplex a = null, b = null, c = null, d = null, e = null; + int i, ifail; + + double[] errest = new double[4]; + double[] zeroi = new double[4]; + double[] zeror = new double[4]; + + System.out.println(" C02ANJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine().replaceAll("[(),]", ""); + String[] sVal = line.trim().split("\\s+"); + e = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + a = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + b = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + c = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + d = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + } catch (FileNotFoundException e_exception) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e_exception) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e_exception.getMessage()); + } + + ifail = 0; + C02AN c02an = new C02AN(); + c02an.eval(e, a, b, c, d, zeror, zeroi, errest, ifail); + ifail = c02an.getIFAIL(); + + System.out.println(); + System.out.println(" Roots of quartic equation Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < 4; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); + } + } +} diff --git a/simple_examples/C05AUJE.java b/simple_examples/C05AUJE.java new file mode 100644 index 0000000..d2b09b1 --- /dev/null +++ b/simple_examples/C05AUJE.java @@ -0,0 +1,67 @@ +import com.nag.routines.C05.C05AU; + +/** + * C05AUJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class C05AUJE{ + + /** + * C05AUJ main program + */ + public static void main(String[] args){ + double a = 0, b = 0, eps, eta, h, x; //placeholders + int ifail; + double[] ruser; + int[] iuser; + + ruser = new double[1]; //need to initialise before passing to wrapper + iuser = new int[1]; + + System.out.println("C05AUJ Example Program Results"); + + x = 1; + h = 0.1; + eps = 0.00001; + eta = 0; + + //Instance of class f to pass to wrapper + f f1 = new f(); + + ifail = -1; + C05AU c05au = new C05AU(x, h, eps, eta, f1, a, b, iuser, ruser, ifail); + c05au.eval(); + + //update values + x = c05au.getX(); + a = c05au.getA(); + b = c05au.getB(); + ifail = c05au.getIFAIL(); + + System.out.println(); + + switch(ifail){ + case 0: + System.out.printf("Root is : \t%.5f\n", x); + System.out.printf("Interval searched is : \t[ %.5f, %.5f]\n", a, b); + break; + case 3: + case 4: + System.out.printf("Final value = %.5f\n", x); + break; + } + } + + /** + * Extends abstract class C05AU.Abstract_C05AU_F. eval() returns the value of the function at a given x. + * eval() must be implemented by the user. + * @return x - e^x + */ + public static class f extends C05AU.Abstract_C05AU_F{ + public double eval(){ + return(this.X - Math.exp(-this.X)); + } + } +} + diff --git a/simple_examples/C05AWJE.java b/simple_examples/C05AWJE.java new file mode 100644 index 0000000..6ea3c9f --- /dev/null +++ b/simple_examples/C05AWJE.java @@ -0,0 +1,59 @@ +import com.nag.routines.C05.C05AW; + +public class C05AWJE{ + + public static void main(String[] args){ + double eps, eta, x; + int ifail, nfmax; + double[] ruser; + int[] iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println("C05AWJ Example Program Results"); + System.out.println(); + + boolean finished = false; + for(int i = 3; i <= 4; i++){ + eps = Math.pow(10, -i); + x = 1; + eta = 0; + nfmax = 200; + + ifail = -1; + f f1 = new f(); + C05AW c05aw = new C05AW(x, eps, eta, f1, nfmax, iuser, ruser, ifail); + c05aw.eval(); + + ifail = c05aw.getIFAIL(); + x = c05aw.getX(); + eps = c05aw.getEPS(); + + switch(ifail){ + case(0): + System.out.printf("With eps = %.2e root = %.5f\n", eps, x); + break; + case(-1): + //exit loop + finished = true; + break; + case(3): + case(4): + System.out.printf("With eps = %.2e root = %.5f\n", eps, x); + break; + } + if(finished){ + break; + } + } + } + + public static class f extends C05AW.Abstract_C05AW_F{ + public double eval(){ + return(Math.exp(-X) - X); + } + } +} + + diff --git a/simple_examples/C05AYJE.java b/simple_examples/C05AYJE.java new file mode 100644 index 0000000..c9ee43b --- /dev/null +++ b/simple_examples/C05AYJE.java @@ -0,0 +1,44 @@ +import com.nag.routines.C05.C05AY; + +/** + * C05AY example program text. + */ +public class C05AYJE { + + public static void main(String[] args) { + + C05AY c05ay = new C05AY(); + OBJFUN f = new OBJFUN(); + double a = 0.0, b = 1.0, eps = 1.0e-5, eta = 0.0, x = 0.0; + int ifail = 0; + int[] iuser = new int[1]; + double[] ruser = new double[1]; + + System.out.println("C05AYJ Example Program Results"); + System.out.println(); + + c05ay.eval(a, b, eps, eta, f, x, iuser, ruser, ifail); + x = c05ay.getX(); + + switch (ifail) { + case 0: + System.out.printf("Zero at x = %12.5f\n", x); + break; + case 2: case 3: + System.out.printf("Final point = %12.5f\n", x); + break; + default: + System.out.println("Unexpected ifail = " + ifail); + } + + } + + private static class OBJFUN extends C05AY.Abstract_C05AY_F { + + public double eval() { + return Math.exp(-X) - X; + } + + } + +} diff --git a/simple_examples/C05AZJE.java b/simple_examples/C05AZJE.java new file mode 100644 index 0000000..7c3e27e --- /dev/null +++ b/simple_examples/C05AZJE.java @@ -0,0 +1,65 @@ +import com.nag.routines.C05.C05AZ; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * C05AZ example program text. + */ +public class C05AZJE { + + public static void main(String[] args) { + double tolx = 0.00001, x = 0.0, y = 1.0, fx; + int ir = 0, ind = 1, ifail = -1; + double[] c = new double[17]; + boolean keepOn = true; + + + C05AZ c05az = new C05AZ(); + fx = fun(x); + int ite = 0; + + System.out.println(" C05AZJ Example Program Results\n"); + System.out.println(" Iterations\n"); + + while (keepOn) { + ++ite; + + c05az.eval(x,y,fx,tolx,ir,c,ind,ifail); + + x = c05az.getX(); + y = c05az.getY(); + tolx = c05az.getTOLX(); + ir = c05az.getIR(); + ind = c05az.getIND(); + ifail = c05az.getIFAIL(); + if (ind == 0) { + keepOn = false; + } + else { + fx = fun(x); + System.out.printf(" X = %7.5f FX = %11.4E IND = %1d\n", x, fx, ind); + } + + } + + switch (ifail) { + case 0: + System.out.println("\n Solution\n"); + System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); + break; + case 4: + case 5: + System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); + break; + default: + System.out.printf("Unexpected error ifail=%d\n",ifail); + } + + } + + private static double fun(double x) { + double res = (Math.expm1(-x) + 1) - x; + return res; + } + +} diff --git a/simple_examples/C05BBJE.java b/simple_examples/C05BBJE.java new file mode 100644 index 0000000..4723773 --- /dev/null +++ b/simple_examples/C05BBJE.java @@ -0,0 +1,89 @@ +import com.nag.routines.C05.C05BB; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C05BBJ Example program text. + * @author willa + * @since 27.1.0.0 + */ +public class C05BBJE{ + + /** + * C05BBJE main program text + */ + public static void main(String[] args){ + NAGComplex w, z; + double resid = 0; + int branch = 0, ifail = 0; //placeholder + boolean offset = false; //placeholder + + //need to initialise first + z = new NAGComplex(); + w = new NAGComplex(); + + System.out.println("C05BBJ Example Program Results"); + + if(args.length != 1){ + System.out.println("Please specify path to data file as input"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + branch = Integer.parseInt(sVal[0]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + offset = Boolean.parseBoolean(sVal[0]); + + System.out.printf("Branch = %d\n", branch); + System.out.printf("Offset = %b\n", offset); + + System.out.println(); + System.out.printf("\t\tZ\t\t\tW(Z)\t\t\t\tRESID\tIFAIL\n"); + System.out.println(); + + while(true){ + line = reader.readLine(); + if(line == null){ + break; + } + sVal = line.split("\\s+"); + + z.setRe(Double.parseDouble(sVal[0])); + z.setIm(Double.parseDouble(sVal[1])); + + ifail = -1; + C05BB c05bb = new C05BB(branch, offset, z, w, resid, ifail); + c05bb.eval(); + + z = (NAGComplex) c05bb.getZ(); + w = (NAGComplex) c05bb.getW(); + resid = c05bb.getRESID(); + ifail = c05bb.getIFAIL(); + + if(ifail < 0){ + break; + } + + System.out.printf("(%.5e, %.5e)\t (%.5e, %.5e)\t %.5e\t %d\n", z.getRe(), z.getIm(), w.getRe(), w.getIm(), resid, ifail); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} diff --git a/simple_examples/C05MBJE.java b/simple_examples/C05MBJE.java new file mode 100644 index 0000000..9b46ff5 --- /dev/null +++ b/simple_examples/C05MBJE.java @@ -0,0 +1,95 @@ +import com.nag.routines.C05.C05MB; +import com.nag.routines.F06.DNRM2; +import com.nag.routines.X02.X02AJ; + +/** + * C05MBJ example program text. + * + * @author joed + * @since 27.0.0.0 + * + */ +public class C05MBJE { + + private static final int n = 4; + + private static class FCN extends C05MB.Abstract_C05MB_FCN { + + public void eval() { + + FVEC[0] = Math.cos(X[2]) - X[0]; + FVEC[1] = Math.sqrt(1.0 - Math.pow(X[3],2)) - X[1]; + FVEC[2] = Math.sin(X[0]) - X[2]; + FVEC[3] = Math.pow(X[1], 2) - X[3]; + + // Set iflag negative to terminate execution for any reason + IFLAG = 0; + + return; + + } + + } + + /** + * C05MBJ example main program. + */ + public static void main(String[] args) { + + C05MB c05mb = new C05MB(); + DNRM2 dnrm2 = new DNRM2(); + X02AJ x02aj = new X02AJ(); + FCN fcn = new FCN(); + long cpuser; + double atol, cndtol, fnorm, machpr, rtol; + int astart, i, ifail, m; + double[] fvec, x; + double[] ruser = new double[1]; + int[] iuser = new int[1]; + + System.out.println("C05MBJ Example Program Results\n"); + + // Get machine precision from X02AJ + machpr = (new X02AJ()).eval(); + + fvec = new double[n]; + x = new double[n]; + + // The following starting values provide a rough solution + x = new double[]{2.0, 0.5, 2.0, 0.5}; + + m = 2; + atol = Math.sqrt(machpr); + rtol = Math.sqrt(machpr); + cndtol = 0.0; + astart = 0; + cpuser = 0; + + ifail = -1; + c05mb.eval(fcn, n, x, fvec, atol, rtol, m, cndtol, astart, iuser, ruser, + cpuser, ifail); + ifail = c05mb.getIFAIL(); + + if (ifail == 0 || ifail == 8 || ifail == 9) { + if (ifail == 0) { + // The NAG name equivalent of dnrm2 is f06ej + fnorm = dnrm2.eval(n, fvec, 1); + System.out.println(); + System.out.printf("Final 2-norm of the residuals = %12.4e\n", fnorm); + System.out.println(); + System.out.println("Final approximate solution"); + } + else { + System.out.println(); + System.out.println("Approximate solution"); + } + System.out.println(); + for (i = 1; i <= n; i++) { + System.out.printf("%12.4f", x[i-1]); + } + System.out.printf("\n"); + } + + } + +} diff --git a/simple_examples/C05QBJE.java b/simple_examples/C05QBJE.java new file mode 100644 index 0000000..4b93405 --- /dev/null +++ b/simple_examples/C05QBJE.java @@ -0,0 +1,167 @@ +import com.nag.routines.C05.C05QB; +import com.nag.routines.F06.DNRM2; +import com.nag.routines.X02.X02AJ; + +/** + * C05QB example program text. + * @author ludovic + */ +public class C05QBJE { + + public static void main(String[] args) { + + C05QB c05qb = new C05QB(); + + System.out.println(" C05QBJ Example Program Results"); + + int n = 9, ifail = -1; + + double xtol, fnorm; + + int[] IUSER = new int[1]; + double[] fvec = new double[n]; + double[] x = new double[n]; + double[] RUSER = new double[1]; + + + FCN fcn = new FCN(); + + for (int i = 0; i < n; ++i) { + x[i] = -1.0; + } + xtol = Math.sqrt((new X02AJ()).eval()); + + c05qb.eval(fcn, n, x, fvec, xtol, IUSER, RUSER, ifail); + + ifail = c05qb.getIFAIL(); + + switch (ifail) { + case (0): + fnorm = (new DNRM2(n, fvec, 1)).eval(); + System.out.println(); + System.out.printf(" Final 2-norm of the residuals = %11.4E\n", fnorm); + System.out.println(); + System.out.println(" Final approximate solution"); + int count = 0; + for (int i = 0; i < n; ++i) { + System.out.printf(" %12.4f", x[i]); + ++count; + if (count == 3) { + System.out.println(); + count = 0; + } + } + break; + case (2): + case (3): + case (4): + System.out.println("Approximate solution"); + count = 0; + for (int i = 0; i < n; ++i) { + System.out.printf(" %12.4f", x[i]); + ++count; + if (count == 3) { + System.out.println(); + count = 0; + } + } + break; + } + + } + + public static class FCN implements C05QB.C05QB_FCN { + + private int N, IFLAG; + private double[] X, FVEC, RUSER; + private int[] IUSER; + + @Override + public void setN(int N) { + this.N = N; + } + + @Override + public int getN() { + return N; + } + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setFVEC(double[] FVEC) { + this.FVEC = FVEC; + } + + @Override + public double[] getFVEC() { + return FVEC; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void eval(int N, double[] X, double[] FVEC, int[] IUSER, double[] RUSER, int IFLAG) { + + /* + * fvec(1:n) = (3.0_nag_wp-2.0_nag_wp*x(1:n))*x(1:n) + 1.0_nag_wp + * fvec(2:n) = fvec(2:n) - x(1:(n-1)) + * fvec(1:(n-1)) = fvec(1:(n-1)) - 2.0_nag_wp*x(2:n) + */ + for (int i = 0; i < N; ++i) { + FVEC[i] = (3.0 - 2.0 * X[i]) * X[i] + 1.0; + /*if (i >= 1) { + FVEC[i] = FVEC[i] - X[i - 1]; + } + if (i < N - 1) { + FVEC[i] = FVEC[i] - 2.0 * X[i + 1]; + }*/ + } + for (int i = 1; i < N; ++i) { + FVEC[i] = FVEC[i] - X[i - 1]; + } + for (int i = 0; i < N-1; ++i) { + FVEC[i] = FVEC[i] - 2.0 * X[i + 1]; + } + + } + + } + +} diff --git a/simple_examples/C06BAJE.java b/simple_examples/C06BAJE.java new file mode 100644 index 0000000..541d4d3 --- /dev/null +++ b/simple_examples/C06BAJE.java @@ -0,0 +1,56 @@ +import com.nag.routines.C06.C06BA; +import com.nag.routines.X01.X01AA; + +/** + * C06BAJ example program text. + * @author willa + */ +public class C06BAJE{ + + public static void main(String[] args){ + int lwork = 16, nout = 6; + int ifail, ncall; + double abserr = 0.0, ans, error, pi = 0.0, r, result = 0.0, seqn, sig; + double[] work; + + C06BA c06ba = new C06BA(); + work = new double[lwork]; + + System.out.println("C06BAJ Example Program Results"); + System.out.println(); + + X01AA x01aa = new X01AA(pi); + pi = x01aa.eval(); + + ans = Math.pow(pi, 2)/12.0; + ncall = 0; + sig = 1.0; + seqn = 0.0; + System.out.println("\t\t\t Estimated\t Actual"); + System.out.println("I\t SEQN \t RESULT\t abs error\t error"); + System.out.println(); + + for(int i = 0; i < 10; i++){ + r = (double) i + 1; + seqn = seqn + sig/Math.pow(r, 2); + + ifail = 0; + c06ba.eval(seqn, ncall, result, abserr, work, lwork, ifail); + + //update variables + ncall = c06ba.getNCALL(); + result = c06ba.getRESULT(); + abserr = c06ba.getABSERR(); + + error = result - ans; + sig = -sig; + + if(i <= 2){ + System.out.printf("%d\t %.4f\t %.4f\t -\t\t %.2e\n", (i + 1), seqn, result, error); + } + else{ + System.out.printf("%d\t %.4f\t %.4f\t %.2e\t %.2e\n", (i + 1), seqn, result, abserr, error); + } + } + } +} diff --git a/simple_examples/C06FKJE.java b/simple_examples/C06FKJE.java new file mode 100644 index 0000000..58db62f --- /dev/null +++ b/simple_examples/C06FKJE.java @@ -0,0 +1,91 @@ +import com.nag.routines.C06.C06FK; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C06FKJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class C06FKJE{ + + /** + * C06FKJE main program + */ + public static void main(String[] args){ + int ifail = 0, n = 0; //placeholder + double[] work, xa, xb, ya, yb; + + work = new double[0]; + xa = new double[0]; + xb = new double[0]; + ya = new double[0]; + yb = new double[0]; //placeholders + + System.out.println("C06FKJ Example Program Results"); + System.out.println(); + + //Supply file path as argument + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //Loop until break... + while(true){ + line = reader.readLine(); + //Break when the end of the file is reached + if(line == null){ + break; + } + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[0]); + + work = new double[n]; + xa = new double[n]; + xb = new double[n]; + ya = new double[n]; + yb = new double[n]; + + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + xa[i] = Double.parseDouble(sVal[0]); + xb[i] = xa[i]; + ya[i] = Double.parseDouble(sVal[1]); + yb[i] = ya[i]; + } + + ifail = 0; + + C06FK c06fk1 = new C06FK(1, xa, ya, n, work, ifail); + c06fk1.eval(); + xa = c06fk1.getX(); + C06FK c06fk2 = new C06FK(2, xb, yb, n, work, ifail); + c06fk2.eval(); + xb = c06fk2.getX(); + + System.out.printf("\tCovolution \tCorrelation\n"); + System.out.println(); + + for(int i = 0; i < n; i++){ + System.out.printf("%d\t%.5f\t\t%.5f\n", i, xa[i], xb[i]); + } + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} diff --git a/simple_examples/C09AAJE.java b/simple_examples/C09AAJE.java new file mode 100644 index 0000000..48c38b6 --- /dev/null +++ b/simple_examples/C09AAJE.java @@ -0,0 +1,158 @@ +import com.nag.routines.C09.C09AA; +import com.nag.routines.C09.C09CC; +import com.nag.routines.C09.C09CD; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C09AAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class C09AAJE{ + + /** + * C09AAJ example main program + */ + public static void main(String[] args){ + int ifail, lenc = 0, n = 0, nf = 0, nnz, nwc = 0, nwlmax = 0, ny; //placeholders + String mode = "", wavnam = "", wtrans; //placeholders + int[] dwtlev, icomm; + double[] c, x, y; + + x = new double[0]; y = new double[0]; //placeholders + + //print error message if no data file given + if(args.length != 1){ + C09AAJE.usage(); + } + + icomm = new int[100]; + + System.out.println("C09AAJ Example Program Results"); + System.out.println(); + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[1]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + wavnam = sVal[1]; + mode = sVal[2]; + + x = new double[n]; + y = new double[n]; + + System.out.printf("Parameters read from file :: \n \tWavelet : %s \tEnd mode : %s \t N = %d\n", wavnam, mode, n); + + System.out.println("Input data \tX : "); + for(int i = 0; i < n; i++){ + line = reader.readLine(); + //Avoid errors with data file format and negative numbers + line = " " + line; + sVal = line.split("\\s+"); + x[i] = Double.parseDouble(sVal[1]); + System.out.printf("%.3f\t", x[i]); + } + System.out.printf("\n"); + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + //Query wavelet filter dimensions + //For Multi-Resolution analysis ,decomposition, wrtrans = 'M' + wtrans = "Multilevel"; + + //ifail: behaviour on error exit + // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft + ifail = 0; + C09AA c09aa = new C09AA(wavnam, wtrans, mode, n, nwlmax, nf, nwc, icomm, ifail); + c09aa.eval(); + + nwc = c09aa.getNWC(); + nwlmax = c09aa.getNWLMAX(); + lenc = nwc; + c = new double[lenc]; + dwtlev = new int[nwlmax + 1]; + + icomm = c09aa.getICOMM(); + ifail = 0; + //Perform discrete wavelet transform + C09CC c09cc = new C09CC(n, x, lenc, c, nwlmax, dwtlev, icomm, ifail); + c09cc.eval(); + + nf = c09aa.getNF(); + nwlmax = c09cc.getNWL(); + dwtlev = c09cc.getDWTLEV(); + c = c09cc.getC(); + + System.out.println(); + System.out.printf("Length of wavelet filter : \t%d\n", nf); + System.out.printf("Number of Levels : \t%d\n", nwlmax); + System.out.printf("Number of coefficients in each level: \n\t\t"); + for(int i = 0; i <= nwlmax; i++){ + System.out.printf("%d\t ", dwtlev[i]); + } + System.out.printf("\n"); + System.out.printf("Total number of wavelength coefficients : %d\n", nwc); + nnz = arraySum(dwtlev); + System.out.println(); + System.out.println("Wavelet coefficients C:"); + for(int i = 0; i < nnz; i++){ + System.out.printf("%.3f ", c[i]); + } + System.out.printf("\n"); + + //Reconstruct original data + ny = n; + + ifail = 0; + lenc = c09cc.getLENC(); + icomm = c09cc.getICOMM(); + C09CD c09cd = new C09CD(nwlmax, lenc, c, ny, y, icomm, ifail); + c09cd.eval(); + + y = c09cd.getY(); + System.out.println(); + System.out.printf("Reconstruction \tY : \n"); + for(int i = 0; i < ny; i++){ + System.out.printf("%.3f ", y[i]); + } + System.out.printf("\n"); + } + + /** + * Finds the sum of all integers in an array + * @param a + * Array to sum + * @return total + */ + private static int arraySum(int[] a){ + int tot = 0; + for(int i = 0; i < a.length; i++){ + tot += a[i]; + } + return tot; + } + + /** + * No arguments supplied when exmaple runs + */ + private static void usage(){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} diff --git a/simple_examples/D01BDJE.java b/simple_examples/D01BDJE.java new file mode 100644 index 0000000..8659cc4 --- /dev/null +++ b/simple_examples/D01BDJE.java @@ -0,0 +1,58 @@ +import com.nag.routines.D01.D01BD; + +/** + * D01BD example program text. + */ +public class D01BDJE { + + public static void main(String[] args) { + + double a = 0.0, b = 1.0; + double epsabs = 0.0, epsrel = 0.0001; + double result = Double.NaN; + double abserr = Double.NaN; + FUN fun = new FUN(); + D01BD d01bd = new D01BD(fun, a, b, epsabs, epsrel, result, abserr); + + d01bd.eval(); + result = d01bd.getRESULT(); + abserr = d01bd.getABSERR(); + + System.out.println(" D01BDJ Example Program Results"); + + System.out.println(); + System.out.printf(" A - lower limit of integration = %10.4f\n",a); + System.out.printf(" B - upper limit of integration = %10.4f\n",b); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.println(); + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.println(); + + if (abserr > Math.max(epsabs,epsrel*Math.abs(result))) { + System.out.println("Warning - requested accuracy may not have been achieved"); + } + + } + + + public static class FUN implements D01BD.D01BD_F { + + private double x; + + public double eval(double x) { + return (x * x * Math.sin(10.0 * Math.PI * x)); + } + + public double getX() { + return x; + } + + public void setX(double d) { + x = d; + } + + } + +} diff --git a/simple_examples/D01RJJE.java b/simple_examples/D01RJJE.java new file mode 100644 index 0000000..9eee98a --- /dev/null +++ b/simple_examples/D01RJJE.java @@ -0,0 +1,184 @@ +import com.nag.routines.D01.D01RJ; +import com.nag.routines.X01.X01AA; +import java.util.Arrays; + +/** + * D01RJ example program text. + * @author Mo + */ +public class D01RJJE { + + public static void main(String[] args) { + + double pi = 0.0; + double a, b, epsabs, epsrel; + double result = Double.NaN; + double abserr = Double.NaN; + double[] rinfo, ruser; + int [] iinfo, iuser; + int ifail, liinfo, lrinfo, maxsub; + long cpuser; // c_ptr + F f = new F(); + + /* Header */ + System.out.println(" D01RJJ Example Program Results"); + + X01AA x01aa = new X01AA(pi); + pi = x01aa.eval(); + a = 0.0; + b = 2.0*pi; + epsabs = 0.0; + epsrel = 0.0001; + maxsub = 20; + lrinfo = 4*maxsub; + liinfo = Math.max(maxsub,4); + + rinfo = new double[lrinfo]; + iinfo = new int[liinfo]; + iuser = new int[0]; + ruser = new double[0]; + + iuser = new int[] {0}; + /* pass constant to f through ruser */ + ruser = new double[] {4.0*Math.pow(pi,2)}; + cpuser = 0L; + + D01RJ d01rj = new D01RJ(); + ifail = -1; + d01rj.eval(f, a, b, epsabs, epsrel, maxsub, result, abserr, + rinfo, iinfo, iuser, ruser, cpuser, ifail); + result = d01rj.getRESULT(); + abserr = d01rj.getABSERR(); + ifail = d01rj.getIFAIL(); + + if (ifail >= 0) { + System.out.println(); + System.out.printf(" A - lower limit of integration = %9.4f\n",a); + System.out.printf(" B - upper limit of integration = %9.4f\n",b); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); + System.out.println(); + if (ifail <= 5) { + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); + System.out.println(); + } + else if (ifail == -1) { + /* User requested exit */ + System.out.printf(" Exit requested from F with IFLAG %4d\n",iuser[0]); + System.out.println(); + } + + } + + } + + public static class F implements D01RJ.D01RJ_F { + + private int NX, IFLAG; + private double[] X, FV, RUSER; + private int[] IUSER; + private long CPUSER; + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setNX(int NX) { + this.NX = NX; + } + + @Override + public int getNX() { + return NX; + } + + @Override + public void setFV(double[] FV) { + this.FV = FV; + } + + @Override + public double[] getFV() { + return FV; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setCPUSER(long CPUSER) { + this.CPUSER = CPUSER; + } + + @Override + public long getCPUSER() { + return CPUSER; + } + + @Override + public void eval(double[] X, int NX, double[] FV, int IFLAG, + int[] IUSER, double[] RUSER, long CPUSER) { + + for (int i = 0; i < NX; i++) { + FV[i] = 0.0; + } + + for (int i = 0; i < NX; i++) { + if (X[i] == 1.0) { + /* An undefined result will be generated. */ + /* Set iflag to force an immediate exit */ + IFLAG = -1; + /* Store chosen value of iflag in iuser */ + IUSER[0] = IFLAG; + } + } + if (IFLAG != -1) { + for (int j = 0; j < NX; j++) { + FV[j] = X[j] * Math.sin(30.0 * X[j])/ + Math.sqrt(1.0 - Math.pow(X[j],2)/RUSER[0]); + } + } + return; + + } + + } + +} diff --git a/simple_examples/D01RKJE.java b/simple_examples/D01RKJE.java new file mode 100644 index 0000000..20c0501 --- /dev/null +++ b/simple_examples/D01RKJE.java @@ -0,0 +1,173 @@ +import com.nag.routines.D01.D01RK; +import com.nag.routines.X01.X01AA; +import java.util.Arrays; + +/** + * D01RK example program text. + * @author Mo + */ +public class D01RKJE { + + public static void main(String[] args) { + + double pi = 0.0; + double a, b, epsabs, epsrel; + double result = Double.NaN; + double abserr = Double.NaN; + double[] rinfo, ruser; + int [] iinfo, iuser; + int ifail, key, liinfo, lrinfo, maxsub; + long cpuser; // c_ptr + F f = new F(); + + /* Header */ + System.out.println(" D01RKJ Example Program Results"); + + key = 6; + X01AA x01aa = new X01AA(pi); + pi = x01aa.eval(); + a = 0.0; + b = 2.0*pi; + epsabs = 0.0; + epsrel = 0.0001; + maxsub = 20; + lrinfo = 4*maxsub; + liinfo = Math.max(maxsub,4); + + rinfo = new double[lrinfo]; + iinfo = new int[liinfo]; + iuser = new int[0]; + ruser = new double[0]; + + iuser = new int[] {0}; + ruser = new double[] {4.0*Math.pow(pi,2)}; + cpuser = 0L; + + D01RK d01rk = new D01RK(); + ifail = -1; + d01rk.eval(f, a, b, key, epsabs, epsrel, maxsub, result, abserr, + rinfo, iinfo, iuser, ruser, cpuser, ifail); + result = d01rk.getRESULT(); + abserr = d01rk.getABSERR(); + ifail = d01rk.getIFAIL(); + + if (ifail >= 0) { + System.out.println(); + System.out.printf(" A - lower limit of integration = %9.4f\n",a); + System.out.printf(" B - upper limit of integration = %9.4f\n",b); + System.out.printf(" KEY - choice of Gaussian rule = %4d\n",key); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); + System.out.println(); + if (ifail <= 5) { + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); + System.out.println(); + } + else if (ifail == -1) { + /* User requested exit */ + System.out.printf(" Exit requested from F \n"); + System.out.println(); + } + + } + + } + + public static class F implements D01RK.D01RK_F { + + private int NX, IFLAG; + private double[] X, FV, RUSER; + private int[] IUSER; + private long CPUSER; + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setNX(int NX) { + this.NX = NX; + } + + @Override + public int getNX() { + return NX; + } + + @Override + public void setFV(double[] FV) { + this.FV = FV; + } + + @Override + public double[] getFV() { + return FV; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setCPUSER(long CPUSER) { + this.CPUSER = CPUSER; + } + + @Override + public long getCPUSER() { + return CPUSER; + } + + @Override + public void eval(double[] X, int NX, double[] FV, int IFLAG, + int[] IUSER, double[] RUSER, long CPUSER) { + + for (int i = 0; i < NX; i++) { + FV[i] = 0.0; + } + + for (int j = 0; j < NX; j++) { + FV[j] = X[j] * Math.sin(30.0 * X[j]) * Math.cos(X[j]); + } + return; + + } + + } + +} diff --git a/simple_examples/D01RLJE.java b/simple_examples/D01RLJE.java new file mode 100644 index 0000000..c8a6d0e --- /dev/null +++ b/simple_examples/D01RLJE.java @@ -0,0 +1,196 @@ +import com.nag.routines.D01.D01RL; +import java.util.Arrays; + +/** + * D01RL example program text. + * @author Mo + */ +public class D01RLJE { + + public static void main(String[] args) { + + double a, b, epsabs, epsrel; + double result = Double.NaN; + double abserr = Double.NaN; + double[] points, rinfo, ruser; + int [] iinfo, iuser; + int ifail, liinfo, lrinfo, maxsub, npts; + long cpuser; // c_ptr + F f = new F(); + + /* Header */ + System.out.println(" D01RLJ Example Program Results"); + + epsabs = 0.0; + epsrel = 0.0001; + a = 0.0; + b = 1.0; + npts = 1; + maxsub = 20; + liinfo = 2*Math.max(maxsub,npts) + npts + 4; + lrinfo = 4*Math.max(maxsub,npts) + npts + 6; + + points = new double[npts]; + rinfo = new double[lrinfo]; + iinfo = new int[liinfo]; + iuser = new int[0]; + ruser = new double[21]; + + points[0] = 1.0/7.0; + iuser = new int[] {0}; + ruser = new double[] {0.0}; + cpuser = 0L; + + D01RL d01rl = new D01RL(); + ifail = -1; + d01rl.eval(f, a, b, npts, points, epsabs, epsrel, maxsub, result, abserr, + rinfo, iinfo, iuser, ruser, cpuser, ifail); + points = d01rl.getPOINTS(); + result = d01rl.getRESULT(); + abserr = d01rl.getABSERR(); + ifail = d01rl.getIFAIL(); + + if (ifail >= 0) { + System.out.println(); + System.out.printf(" A - lower limit of integration = %9.4f\n",a); + System.out.printf(" B - upper limit of integration = %9.4f\n",b); + System.out.printf(" POINT(1) - given break-point = %9.4f\n",points[0]); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); + System.out.println(); + if (ifail <= 5) { + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); + System.out.println(); + } + else if (ifail == -1) { + /* User requested exit */ + System.out.printf(" Exit requested from F"); + System.out.println(); + } + + } + + } + + public static class F implements D01RL.D01RL_F { + + private int NX, IFLAG; + private double[] X, FV, RUSER; + private int[] IUSER; + private long CPUSER; + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setNX(int NX) { + this.NX = NX; + } + + @Override + public int getNX() { + return NX; + } + + @Override + public void setFV(double[] FV) { + this.FV = FV; + } + + @Override + public double[] getFV() { + return FV; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setCPUSER(long CPUSER) { + this.CPUSER = CPUSER; + } + + @Override + public long getCPUSER() { + return CPUSER; + } + + @Override + public void eval(double[] X, int NX, double[] FV, int IFLAG, + int[] IUSER, double[] RUSER, long CPUSER) { + + /*for (int i = 0; i < NX; i++) {*/ + /*FV[i] = 0.0;*/ + /*}*/ + + for (int i = 0; i < NX; i++) { + FV[i] = Math.abs(X[i] - 1.0/7.0); + } + + for (int i = 0; i < NX; i++) { + if (FV[i] == 0.0) { + /* A singular point will be hit. */ + /* Record offending abscissae and abort computation. */ + IFLAG = 0; + for (int k = 0; k < NX; k++) { + if (FV[k] == 0.0) { + IFLAG = IFLAG + 1; + RUSER[IFLAG-1] = X[k]; + } + } + /* Store value of iflag in iuser */ + IUSER[0] = IFLAG; + /* signal abort by setting iflag<0 */ + IFLAG = -IFLAG; + } + } + if (IFLAG == 0) { + /* Safe to evaluate. */ + for (int j = 0; j < NX; j++) { + FV[j] = 1.0/Math.sqrt(FV[j]); + } + } + return; + + } + + } + +} diff --git a/simple_examples/D01RMJE.java b/simple_examples/D01RMJE.java new file mode 100644 index 0000000..6e80b2b --- /dev/null +++ b/simple_examples/D01RMJE.java @@ -0,0 +1,163 @@ +import com.nag.routines.D01.D01RM; +import java.util.Arrays; + +/** + * D01RM example program text. + * @author Mo + */ +public class D01RMJE { + + public static void main(String[] args) { + + double bound, epsabs, epsrel; + double result = Double.NaN; + double abserr = Double.NaN; + double[] rinfo, ruser; + int [] iinfo, iuser; + int ifail, inf, liinfo, lrinfo, maxsub; + long cpuser; // c_ptr + F f = new F(); + + /* Header */ + System.out.println(" D01RMJ Example Program Results"); + + bound = 0.0; + inf = 1; + epsabs = 0.0; + epsrel = 0.0001; + maxsub = 20; + lrinfo = 4*maxsub; + liinfo = Math.max(maxsub,4); + + rinfo = new double[lrinfo]; + iinfo = new int[liinfo]; + iuser = new int[0]; + ruser = new double[0]; + + iuser = new int[] {0}; + ruser = new double[] {0.0}; + cpuser = 0L; + + D01RM d01rm = new D01RM(); + ifail = -1; + d01rm.eval(f, bound, inf, epsabs, epsrel, maxsub, result, abserr, + rinfo, iinfo, iuser, ruser, cpuser, ifail); + result = d01rm.getRESULT(); + abserr = d01rm.getABSERR(); + ifail = d01rm.getIFAIL(); + + if (ifail >= 0) { + System.out.println(); + System.out.printf(" A - lower limit of integration = %9.4f\n",bound); + System.out.println(" B - upper limit of integration = infinity\n"); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); + System.out.println(); + if (ifail <= 5) { + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); + System.out.println(); + } + else if (ifail == -1) { + /* User requested exit */ + System.out.printf(" Exit requested from F \n"); + System.out.println(); + } + + } + + } + + public static class F implements D01RM.D01RM_F { + + private int NX, IFLAG; + private double[] X, FV, RUSER; + private int[] IUSER; + private long CPUSER; + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setNX(int NX) { + this.NX = NX; + } + + @Override + public int getNX() { + return NX; + } + + @Override + public void setFV(double[] FV) { + this.FV = FV; + } + + @Override + public double[] getFV() { + return FV; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setCPUSER(long CPUSER) { + this.CPUSER = CPUSER; + } + + @Override + public long getCPUSER() { + return CPUSER; + } + + @Override + public void eval(double[] X, int NX, double[] FV, int IFLAG, + int[] IUSER, double[] RUSER, long CPUSER) { + + for (int j = 0; j < NX; j++) { + FV[j] = 1.0/((X[j] + 1.0) * Math.sqrt(X[j])); + } + return; + + } + + } + +} diff --git a/simple_examples/D01TCJE.java b/simple_examples/D01TCJE.java new file mode 100644 index 0000000..cde8428 --- /dev/null +++ b/simple_examples/D01TCJE.java @@ -0,0 +1,45 @@ +import com.nag.routines.D01.D01TC; +import java.util.Arrays; + +/** + * D01TC example program text. + * @author Mo + */ +public class D01TCJE { + + public static void main(String[] args) { + + double a, b, c, d; + double[] abscis, weight; + int n, ifail, itype; + + /* Header */ + System.out.println(" D01TCJ Example Program Results"); + + n = 7; + a = 0.0; + b = 1.0; + c = 0.0; + d = 0.0; + itype = -3; + + abscis = new double[n]; + weight = new double[n]; + + D01TC d01tc = new D01TC(); + ifail = 0; + d01tc.eval(itype, a, b, c, d, n, weight, abscis, ifail); + abscis= d01tc.getABSCIS(); + weight = d01tc.getWEIGHT(); + + System.out.println(); + System.out.printf(" Laguerre formula, %2d points\n",n); + System.out.println(); + System.out.println(" Abscissae Weights\n"); + for (int j = 0; j < n; j++) { + System.out.printf("%15.5E %15.5E\n", abscis[j], weight[j]); + } + + } + +} diff --git a/simple_examples/D02NEJE.java b/simple_examples/D02NEJE.java new file mode 100644 index 0000000..3d90bb8 --- /dev/null +++ b/simple_examples/D02NEJE.java @@ -0,0 +1,388 @@ +import com.nag.routines.D02.D02MC; +import com.nag.routines.D02.D02MW; +import com.nag.routines.D02.D02NE; +import com.nag.routines.D02.D02NEZ; +import com.nag.routines.D02.D02NP; +import java.util.Arrays; + +/** + * D02NE example program text. + * @author joed + */ +public class D02NEJE { + + public static final double ALPHA = 0.04; + public static final double BETA = 1.0E4; + public static final double GAMMA = 3.0E7; + public static final int ML = 1; + public static final int MU = 2; + public static final int NEQ1 = 3; + public static final int NEQ2 = 1; + + public static JAC1 jac1 = new JAC1(); + public static JAC2 jac2 = new JAC2(); + public static RES1 res1 = new RES1(); + public static RES2 res2 = new RES2(); + + public static void main(String[] args) { + + System.out.println(" D02NEJ Example Program Results"); + + ex1(); + ex2(); + + } + + private static void ex1() { + + D02MC d02mc = new D02MC(); + D02MW d02mw = new D02MW(); + D02NE d02ne = new D02NE(); + D02NP d02np = new D02NP(); + double h0, hmax, t, tout; + int ifail, ijac, itask, itol, lcom, licom, maxord, neq; + String jceval; // length 8 + double[] atol, com, rtol, y, ydot, ruser; + int[] icom, iuser; + + ruser = new double[1]; + iuser = new int[3]; + + System.out.println(); + System.out.println(" D02NEF Example 1"); + System.out.println(); + + maxord = 5; + + neq = NEQ1; + lcom = 40 + (maxord + 4) * neq + (2 * ML + MU + 1) * neq + + 2 * (neq / (ML + MU + 1) + 1); + licom = 50 + neq; + + atol = new double[neq]; + com = new double[lcom]; + rtol = new double[neq]; + y = new double[neq]; + ydot = new double[neq]; + icom = new int[licom]; + + ijac = 1; + itol = 1; + Arrays.fill(rtol, 1.0E-3); + Arrays.fill(atol, 1.0E-6); + Arrays.fill(ydot, 0.0); + + // String length = 8 + jceval = (ijac == 1) ? "Analytic" : "Numeric "; + + // Set initial values + y[0] = 1.0; + y[1] = 0.0; + y[2] = 0.0; + + // Initialize the problem, specifying that the Jacobian is to be + // evaluated analytically using the provided routine jac. + hmax = 0.0; + h0 = 0.0; + t = 0.0; + tout = 0.02; + ifail = 0; + d02mw.eval( + neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail + ); + ifail = d02mw.getIFAIL(); + + // Specify that the Jacobian is banded. + ifail = 0; + d02np.eval(neq, ML, MU, icom, licom, ifail); + ifail = d02np.getIFAIL(); + + // Use the iuser array to pass the band dimensions through to jac. + // An alternative would be to hard code values for ml and mu in jac. + iuser[0] = ML; + iuser[1] = MU; + iuser[2] = ijac; + + System.out.printf(" t "); + for (int i = 1; i <= neq; i++) { + System.out.printf(" Y(%1d) ", i); + } + System.out.println(); + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + itask = 0; + + // Obtain the solution at 5 equally spaced values of T. + for (int j = 0; j < 5; j++) { + ifail = -1; + d02ne.eval( + neq, t, tout, y, ydot, rtol, atol, itask, res1, jac1, icom, + com, lcom, iuser, ruser, ifail + ); + itask = d02ne.getITASK(); + ifail = d02ne.getIFAIL(); + t = d02ne.getT(); + + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + if (ifail != 0) { + System.out.printf( + " ** D02NEF returned with IFAIL = %5d\n", ifail + ); + break; + } + + tout += 0.02; + d02mc.eval(icom); + + } + + System.out.println(); + System.out.printf( + " The integrator completed task, ITASK = %4d\n", itask + ); + + } + + private static void ex2() { + D02MC d02mc = new D02MC(); + D02MW d02mw = new D02MW(); + D02NE d02ne = new D02NE(); + double h0, hmax, t, tout; + int ifail, ijac, itask, itol, lcom, licom, maxord, neq; + String jceval; // length 8 + double[] atol, com, rtol, y, ydot, ruser; + int[] icom, iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println(); + System.out.println(" D02NEF Example 2"); + System.out.println(); + + maxord = 5; + neq = NEQ2; + lcom = 40 + (maxord + 4) * neq + neq * neq; + licom = 50 + neq; + + atol = new double[neq]; + com = new double[lcom]; + rtol = new double[neq]; + y = new double[neq]; + ydot = new double[neq]; + icom = new int[licom]; + + ijac = 1; + itol = 1; + rtol[0] = 0.0; + atol[0] = 1.0E-8; + ydot[0] = 0.0; + + // String length = 8 + jceval = (ijac == 1) ? "Analytic" : "Numeric "; + + // Initialize the problem, specifying that the Jacobian is to be + // evaluated analytically using the provided routine jac. + y[0] = 2.0; + hmax = 0.0; + h0 = 0.0; + t = 0.0; + tout = 0.2; + + ifail = 0; + d02mw.eval( + neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail + ); + ifail = d02mw.getIFAIL(); + + // Use the iuser array to pass whether numerical or analytic Jacobian + // is to be used. + iuser[0] = ijac; + + System.out.printf(" t "); + for (int i = 1; i <= neq; i++) { + System.out.printf(" y(%1d) ", i); + } + System.out.println(); + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + itask = 0; + + for (int j = 0; j < 5; j++) { + ifail = -1; + d02ne.eval( + neq, t, tout, y, ydot, rtol, atol, itask, res2, jac2, icom, + com, lcom, iuser, ruser, ifail + ); + itask = d02ne.getITASK(); + ifail = d02ne.getIFAIL(); + t = d02ne.getT(); + + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + if (ifail != 0) { + System.out.printf( + " ** D02NEF returned with IFAIL = %5d\n", ifail + ); + break; + } + + tout += 0.2; + d02mc.eval(icom); + + } + + System.out.println(); + System.out.printf( + " The integrator completed task, ITASK = %4d\n", itask + ); + + } + + /** + * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based + * Java index. + * + *

    Fortran array definition: + * a(dimX, *) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + + public static class RES1 extends D02NE.Abstract_D02NE_RES { + + public void eval() { + + this.R[0] = -(ALPHA * this.Y[0]) + (BETA * this.Y[1] * this.Y[2]) + - this.YDOT[0]; + this.R[1] = (ALPHA * this.Y[0]) - (BETA * this.Y[1] * this.Y[2]) + - (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[1]; + this.R[2] = (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[2]; + + } + + } + + public static class JAC1 extends D02NE.Abstract_D02NE_JAC { + + private double[] myjac1( + int neq, int ml, int mu, double t, double[] y, double[] ydot, + double[] pd, double cj + ) { + + int md, ms, pdDim1; + + pdDim1 = (2 * ml) + mu + 1; + + // Main diagonal pdfull(i,i), i=1, neq + md = mu + ml + 1; + pd[getIdx(md, 1, pdDim1)] = -ALPHA - cj; + pd[getIdx(md, 2, pdDim1)] = (-BETA * y[2]) - (2.0 * GAMMA * y[1]) + - cj; + pd[getIdx(md, 3, pdDim1)] = -cj; + + // 1 subdiagonal pdfull(i-1,i), i=2, neq + ms = md + 1; + pd[getIdx(ms, 1, pdDim1)] = ALPHA; + pd[getIdx(ms, 2, pdDim1)] = 2.0 * GAMMA * y[1]; + + // First superdiagonal pdfull(i-1,i), i=2, neq + ms = md - 1; + pd[getIdx(ms, 2, pdDim1)] = BETA * y[2]; + pd[getIdx(ms, 3, pdDim1)] = -BETA * y[1]; + + // Second superdiagonal pdfull(i-2,i), i=3, neq + ms = md - 2; + pd[getIdx(ms, 3, pdDim1)] = BETA * y[1]; + + return pd; + + } + + public void eval() { + D02NEZ d02nez = new D02NEZ(); + int ijac, ml, mu; + + ml = this.IUSER[0]; + mu = this.IUSER[1]; + ijac = this.IUSER[2]; + + if (ijac == 1) { + myjac1( + this.NEQ, ml, mu, this.T, this.Y, this.YDOT, this.PD, + this.CJ + ); + } + else { + d02nez.eval( + this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, + this.IUSER, this.RUSER + ); + } + + } + + } + + public static class RES2 extends D02NE.Abstract_D02NE_RES { + + public void eval() { + this.R[0] = 4.0 - Math.pow(this.Y[0], 2.0) + + (this.T * 0.1E0 * Math.exp(this.Y[0])); + } + + } + + public static class JAC2 extends D02NE.Abstract_D02NE_JAC { + + private void myjac2( + int neq, double t, double[] y, double[] ydot, double[] pd, + double cj + ) { + + pd[0] = -(2.0 * y[0]) + (0.1E0 * t * y[0] * Math.exp(y[0])); + + } + + public void eval() { + D02NEZ d02nez = new D02NEZ(); + int ijac; + + ijac = this.IUSER[0]; + + if (ijac == 1) { + myjac2(this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ); + } + else { + d02nez.eval( + this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, + this.IUSER, this.RUSER + ); + } + + } + + } + +} diff --git a/simple_examples/D02TLJE.java b/simple_examples/D02TLJE.java new file mode 100644 index 0000000..9333518 --- /dev/null +++ b/simple_examples/D02TLJE.java @@ -0,0 +1,290 @@ +import com.nag.routines.D02.D02TL; +import com.nag.routines.D02.D02TV; +import com.nag.routines.D02.D02TX; +import com.nag.routines.D02.D02TY; +import com.nag.routines.D02.D02TZ; +import java.util.Arrays; + +/** + * D02TL example program text. + * @author joed + */ +public class D02TLJE { + + public static final int MMAX = 3, NEQ = 3, NLBC = 3, NRBC = 3; + + public static double omega, sqrofr; + public static int[] m = {1, 3, 2}; + + public static FFUN ffun = new FFUN(); + public static FJAC fjac = new FJAC(); + public static GAFUN gafun = new GAFUN(); + public static GAJAC gajac = new GAJAC(); + public static GBFUN gbfun = new GBFUN(); + public static GBJAC gbjac = new GBJAC(); + public static GUESS guess = new GUESS(); + + public static void main(String[] args) { + + D02TL d02tl = new D02TL(); + D02TV d02tv = new D02TV(); + D02TX d02tx = new D02TX(); + D02TY d02ty = new D02TY(); + D02TZ d02tz = new D02TZ(); + double dx, ermx, r; + int iermx, ifail, ijermx, licomm, lrcomm, mxmesh, ncol, ncont, + nmesh; + double[] mesh, rcomm, tol, y, ruser = new double[1]; + int[] icomm, ipmesh, iuser = new int[2]; + + System.out.println(" D02TLJ Example Program Results"); + System.out.println(); + + ncol = 7; + nmesh = 11; + mxmesh = 51; + + mesh = new double[mxmesh]; + tol = new double[NEQ]; + y = new double[NEQ * MMAX]; + ipmesh = new int[mxmesh]; + + omega = 1.0; + Arrays.fill(tol, 1.0E-4); + + dx = 1.0 / ((double) nmesh - 1); + + mesh[0] = 0.0; + for (int i = 1; i < nmesh - 1; i++) { + mesh[i] = mesh[i - 1] + dx; + } + mesh[nmesh - 1] = 1.0; + + ipmesh[0] = 1; + Arrays.fill(ipmesh, 1, nmesh - 1, 2); + ipmesh[nmesh - 1] = 1; + + // Workspace query to get size of rcomm and icomm + ifail = 0; + d02tv.eval( + NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, ruser, + 0, iuser, 2, ifail + ); + ifail = d02tv.getIFAIL(); + lrcomm = iuser[0]; + licomm = iuser[1]; + rcomm = new double[lrcomm]; + icomm = new int[licomm]; + + // Initialise integrator for given problem + ifail = 0; + d02tv.eval( + NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, rcomm, + lrcomm, icomm, licomm, ifail + ); + ifail = d02tv.getIFAIL(); + + ncont = 3; + r = 1.0E6; + + sqrofr = Math.sqrt(r); + + ermx = 0.0; + iermx = 0; + ijermx = 0; + + for (int j = 0; j < ncont; j++) { + System.out.printf("\n Tolerance = %8.1E R = %10.3E\n", tol[0], r); + + // Solve problem + ifail = -1; + d02tl.eval( + ffun, fjac, gafun, gbfun, gajac, gbjac, guess, rcomm, icomm, + iuser, ruser, ifail + ); + ifail = d02tl.getIFAIL(); + if (ifail != 0) { + System.err.println("D02TL failed with error code " + ifail); + } + + // Extract mesh + ifail = -1; + d02tz.eval( + mxmesh, nmesh, mesh, ipmesh, ermx, iermx, ijermx, rcomm, icomm, + ifail + ); + nmesh = d02tz.getNMESH(); + iermx = d02tz.getIERMX(); + ijermx = d02tz.getIJERMX(); + ermx = d02tz.getERMX(); + ifail = d02tz.getIFAIL(); + if (ifail == 1) { + break; + } + + // Print mesh, error stats + System.out.printf( + "\n" + + " Used a mesh of %4d points\n" + + " Maximum error = %10.2E in interval %4d for component %4d\n" + + "\n", + nmesh, ermx, iermx, ijermx + ); + System.out.printf("\n Mesh points:\n"); + for (int i = 0; i < nmesh; i++) { + System.out.printf("%4d(%1d)%10.3E", i+1, ipmesh[i], mesh[i]); + if ((i+1) % 4 == 0) { + System.out.printf("\n"); + } + } + System.out.printf("\n"); + + // Print solution components on mesh + System.out.printf("\n x f f\' g\n"); + for (int i = 0; i < nmesh; i++) { + ifail = 0; + d02ty.eval(mesh[i], y, NEQ, MMAX, rcomm, icomm, ifail); + ifail = d02ty.getIFAIL(); + System.out.printf( + " %8.3f %9.4f%9.4f%9.4f\n", mesh[i], y[getIdx(1, 0, NEQ)], + y[getIdx(2, 0, NEQ)], y[getIdx(3, 0, NEQ)] + ); + } + + if (j == ncont - 1) { + break; + } + + // Modify continuation parameter + r = 100.0 * r; + sqrofr = Math.sqrt(r); + + // Select mesh for continuation + Arrays.fill(ipmesh, 1, nmesh - 1, 2); + + // Call continuation primer routine + ifail = 0; + d02tx.eval(mxmesh, nmesh, mesh, ipmesh, rcomm, icomm, ifail); + mxmesh = d02tx.getMXMESH(); + nmesh = d02tx.getNMESH(); + ifail = d02tx.getIFAIL(); + + } + + } + + /** + * Converts a 2D Fortran index to the 1D index for its corresponding Java + * array. Assumes y is already zero-based. + * + *

    Fortran array definition: + * a(dimX, 0:*) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return (y * dimX) + (x-1); + } + + /** + * Converts a 3D Fortran index to the 1D index for its corresponding Java + * array. Assumes z is already zero-based. + * + *

    Fortran array definition: + * a(dimX, dimY, 0:*) + * + *

    Conversion: + * a(x, y, z) --> A[result] + */ + private static int getIdx(int x, int y, int z, int dimX, int dimY) { + return (z * dimY * dimX) + ((y-1) * dimX) + (x-1); + } + + public static class FFUN extends D02TL.Abstract_D02TL_FFUN { + + public void eval() { + F[0] = Y[getIdx(2, 0, NEQ)]; + F[1] = -((Y[getIdx(1, 0, NEQ)] * Y[getIdx(2, 2, NEQ)]) + + (Y[getIdx(3, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; + F[2] = ((Y[getIdx(2, 0, NEQ)] * Y[getIdx(3, 0, NEQ)]) + - (Y[getIdx(1, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; + } + + } + + public static class FJAC extends D02TL.Abstract_D02TL_FJAC { + + public void eval() { + DFDY[getIdx(1, 2, 0, NEQ, NEQ)] = 1.0; + DFDY[getIdx(2, 1, 0, NEQ, NEQ)] = -Y[getIdx(2, 2, NEQ)] * sqrofr; + DFDY[getIdx(2, 2, 2, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; + DFDY[getIdx(2, 3, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; + DFDY[getIdx(2, 3, 1, NEQ, NEQ)] = -Y[getIdx(3, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 1, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; + DFDY[getIdx(3, 2, 0, NEQ, NEQ)] = Y[getIdx(3, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 3, 0, NEQ, NEQ)] = Y[getIdx(2, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 3, 1, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; + } + + } + + public static class GAFUN extends D02TL.Abstract_D02TL_GAFUN { + + public void eval() { + GA[0] = YA[getIdx(1, 0, NEQ)]; + GA[1] = YA[getIdx(2, 0, NEQ)]; + GA[2] = YA[getIdx(3, 0, NEQ)] - omega; + } + + } + + public static class GBFUN extends D02TL.Abstract_D02TL_GBFUN { + + public void eval() { + GB[0] = YB[getIdx(1, 0, NEQ)]; + GB[1] = YB[getIdx(2, 0, NEQ)]; + GB[2] = YB[getIdx(3, 0, NEQ)] + omega; + } + + } + + public static class GAJAC extends D02TL.Abstract_D02TL_GAJAC { + + public void eval() { + DGADY[getIdx(1, 1, 0, NLBC, NEQ)] = 1.0; + DGADY[getIdx(2, 2, 0, NLBC, NEQ)] = 1.0; + DGADY[getIdx(3, 3, 0, NLBC, NEQ)] = 1.0; + } + + } + + public static class GBJAC extends D02TL.Abstract_D02TL_GBJAC { + + public void eval() { + DGBDY[getIdx(1, 1, 0, NRBC, NEQ)] = 1.0; + DGBDY[getIdx(2, 2, 0, NRBC, NEQ)] = 1.0; + DGBDY[getIdx(3, 3, 0, NRBC, NEQ)] = 1.0; + } + + } + + public static class GUESS extends D02TL.Abstract_D02TL_GUESS { + + public void eval() { + Y[getIdx(1, 0, NEQ)] = -(X - 0.5) * Math.pow(X * (X - 1.0), 2.0); + Y[getIdx(2, 0, NEQ)] = -X * (X - 1.0) + * (5.0 * X * (X - 1.0) + 1.0); + Y[getIdx(2, 1, NEQ)] = -(2.0 * X - 1.0) + * (10.0 * X * (X - 1.0) + 1.0); + Y[getIdx(2, 2, NEQ)] = -12.0 * (5.0 * X * (X - 1.0) + 1.0); + Y[getIdx(3, 0, NEQ)] = -8.0 * omega * Math.pow(X - 0.5, 3.0); + Y[getIdx(3, 1, NEQ)] = -24.0 * omega * Math.pow(X - 0.5, 2.0); + DYM[0] = Y[getIdx(2, 0, NEQ)]; + DYM[1] = -120.0 * (X - 0.5); + DYM[2] = -56.0 * omega * (X - 0.5); + } + + } + +} diff --git a/simple_examples/D03PCJE.java b/simple_examples/D03PCJE.java new file mode 100644 index 0000000..4901e2e --- /dev/null +++ b/simple_examples/D03PCJE.java @@ -0,0 +1,217 @@ +import com.nag.routines.D03.D03PC; +import com.nag.routines.D03.D03PZ; +import com.nag.routines.X01.X01AA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.lang.StringBuilder; + +/** + * D03PCJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class D03PCJE{ + + /** + * D03PCJE main program + */ + public static void main(String[] args){ + int ifail, ind, intpts = 0, it, itask, itrace = 0, itype = 0, lisave, lrsave, m = 0, neqn, npts = 0, nwk, npde = 2; + double hx, pi, piby2, tout = 0, ts = 0, acc = 0, alpha = 0; + int[] isave, iuser, iwsav; + double[] rsave, u, uout, x, xout, ruser, rwsav; + boolean[] lwsav; + String[] cwsav; + + xout = new double[0]; // placeholders + ruser = new double[1]; + rwsav = new double[1100]; + iuser = new int[1]; + iwsav = new int[505]; + lwsav = new boolean[100]; + cwsav = new String[10]; + + System.out.println("D03PCJ Example Program Results"); + + //Specify path to data file + if(args.length != 1){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + intpts = Integer.parseInt(sVal[0]); + npts = Integer.parseInt(sVal[1]); + itype = Integer.parseInt(sVal[2]); + + xout = new double[intpts]; + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int i = 0; i < intpts; i++){ + xout[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.split("\\s+"); + acc = Double.parseDouble(sVal[0]); + alpha = Double.parseDouble(sVal[1]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + m = Integer.parseInt(sVal[0]); + itrace = Integer.parseInt(sVal[1]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + ts = Double.parseDouble(sVal[0]); + tout = Double.parseDouble(sVal[1]); + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + neqn = npde * npts; + lisave = neqn + 24; + nwk = (10 + (6 * npde)) * neqn; + lrsave = nwk + ((21 + (3 * npde)) * npde) + (7 * npts) + 54; + + rsave = new double[lrsave]; + u = new double[npde * npts]; + uout = new double[npde * intpts * itype]; + x = new double[npts]; + isave = new int[lisave]; + ruser[0] = alpha; + ind = 0; + itask = 1; + + X01AA x01aa = new X01AA(); + pi = x01aa.eval(); + piby2 = 0.5 * pi; + hx = piby2/(double)(npts - 1); + x[0] = 0.0; + x[npts - 1] = 1.0; + for(int i = 1; i < (npts - 1); i++){ + x[i] = Math.sin(hx * (double)(i)); + } + + u = uinit(x, npts, iuser, ruser); + + //Character (80) :: cwsav(10) + //Surely a better way of doing this? + for(int i = 0; i < 10; i++){ + StringBuilder builder = new StringBuilder(""); + for(int j = 0; j < 80; j++){ + builder.append(" "); + } + cwsav[i] = builder.toString(); + } + + for(int i = 0; i <5; i++){ + tout = 10 * tout; + + ifail = 0; + pdedef pdedef1 = new pdedef(); + bndary bndary1 = new bndary(); + D03PC d03pc = new D03PC(npde, m, ts, tout, pdedef1, bndary1, u, npts, x, acc, rsave, lrsave, + isave, lisave, itask, itrace, ind, iuser, ruser, cwsav, lwsav, iwsav, + rwsav, ifail); + d03pc.eval(); + + //update ind + ind = d03pc.getIND(); + + if(i == 0){ + System.out.printf("Accuracy requirement = \t%.5e\n Parameter ALPHA = \t%.3e\n", acc, alpha); + System.out.printf("T / X "); + for(int j = 0; j < xout.length; j++){ + System.out.printf("\t%.4f", xout[j]); + } + System.out.printf("\n"); + } + System.out.println(); + + //Interpolate at required spatial points + ifail = 0; + + D03PZ d03pz = new D03PZ(npde, m, u, npts, x, xout, intpts, itype, uout, ifail); + d03pz.eval(); + + System.out.printf("%.4f \tU(1)", tout); + for(int j = 0; j < intpts; j++){ + System.out.printf("\t%.4f ", uout[j * 2]); + } + System.out.printf("\n"); + System.out.printf("\tU(2)"); + for(int j = 0; j < intpts; j++){ + System.out.printf("\t%.4f ", uout[j * 2 + 1]); + } + System.out.printf("\n"); + System.out.println(); + } + + System.out.printf("Number of Integration steps in time\t\t\t%d\n", isave[0]); + System.out.printf("Number of residual evaluations of resulting ODE system\t%d\n", isave[1]); + System.out.printf("Number of Jacobian evaluations\t\t\t\t%d\n", isave[2]); + System.out.printf("Number of iterations of nonlinear solver\t\t%d\n", isave[4]); + } + + /** + * PDE initial condition + */ + public static double[] uinit(double[] x, int npts, int[] iuser, double[] ruser){ + double alpha = ruser[0]; + double[] u = new double[2 * npts]; + for(int i = 0; i < npts; i++){ + u[2 * i] = 2 * alpha * x[i]; + u[(2 * i) + 1] = 1; + } + return u; + } + + public static class pdedef extends D03PC.Abstract_D03PC_PDEDEF{ + public void eval(){ + double alpha = this.RUSER[0]; + this.Q[0] = 4 * alpha * (this.U[1] + (this.X * this.UX[1])); + this.Q[1] = 0; + this.R[0] = this.X * this.UX[0]; + this.R[1] = this.UX[1] - (this.U[0] * this.U[1]); + this.P[0] = 0; + this.P[1] = 0; + this.P[2] = 0; + this.P[3] = 1 - (this.X * this.X); + } + } + + public static class bndary extends D03PC.Abstract_D03PC_BNDARY{ + public void eval(){ + if(this.IBND == 0){ + this.BETA[0] = 0; + this.BETA[1] = 1; + this.GAMMA[0] = this.U[0]; + this.GAMMA[1] = -this.U[0] * this.U[1]; + } + else{ + this.BETA[0] = 1; + this.BETA[1] = 0; + this.GAMMA[0] = -this.U[0]; + this.GAMMA[1] = this.U[1]; + } + } + } + +} + + + diff --git a/simple_examples/D03RAJE.java b/simple_examples/D03RAJE.java new file mode 100644 index 0000000..03c2e3b --- /dev/null +++ b/simple_examples/D03RAJE.java @@ -0,0 +1,307 @@ +import com.nag.routines.D03.D03RA; +import com.nag.routines.D03.D03RA.D03RA_BNDARY; +import com.nag.routines.D03.D03RA.D03RA_MONITR; +import com.nag.routines.X01.X01AA; +import com.nag.routines.X02.X02AJ; +import java.util.Arrays; + +/** + * D03RA example program text. + * @author joed + */ +public class D03RAJE { + + public static final double ALPHA = 50.0; + public static final double BETA = 300.0; + public static final double XMAX = 1.0; + public static final double XMIN = 0.0; + public static final double YMAX = 1.0; + public static final double YMIN = 0.0; + public static final int ITRACE = 0; + public static final int NPDE = 1; + + public static D03RA d03ra = new D03RA(); + public static PDEDEF pdedef = new PDEDEF(); + public static BNDRY bndry = new BNDRY(); + public static PDEIV pdeiv = new PDEIV(); + public static MONIT monit = new MONIT(); + public static MONITDUMMY monitDummy = new MONITDUMMY(); + + public static void main(String[] args) { + double tols, tolt, tout, ts; + int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, npde, npts, nx, ny; + double[] dt, twant, optr, rwk; + int[] wklens, iwk, opti = new int[4]; + boolean[] lwk; + + // Run examples + System.out.println(" D03RAJ Example Program Results"); + System.out.println(); + + npts = 2000; + npde = NPDE; + + dt = new double[] {0.1e-2, 0.0, 0.0}; + twant = new double[] {0.24, 0.25}; + ts = 0.0; + + ind = 10; + nx = 41; + ny = 41; + tols = 0.5; + tolt = 0.01; + Arrays.fill(opti, 0); + opti[0] = 6; + maxlev = Math.max(opti[0], 3); + + wklens = computeWkspaceLens(maxlev, npde, npts); + lenrwk = wklens[0]; + leniwk = wklens[1]; + lenlwk = wklens[2]; + rwk = new double[lenrwk]; + iwk = new int[leniwk]; + lwk = new boolean[lenlwk]; + + optr = new double[3 * npde]; + Arrays.fill(optr, 1.0); + + for (int i = 0; i < 2; i++) { + tout = twant[i]; + ifail = 0; + if (i == 0) { + // Dummy monitor used to avoid output on first call + d03ra.eval( + npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, + tolt, pdedef, bndry, pdeiv, monitDummy, opti, optr, + rwk, lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail + ); + } + else { + d03ra.eval( + npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, + tolt, pdedef, bndry, pdeiv, monit, opti, optr, rwk, + lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail + ); + } + + ind = d03ra.getIND(); + ifail = d03ra.getIFAIL(); + ts = d03ra.getTS(); + + printStatistics(ts, iwk, maxlev); + + } + + } + + public static class PDEIV extends D03RA.Abstract_D03RA_PDEIV { + + public void eval() { + Arrays.fill(this.U, 1.0); + } + + } + + public static class PDEDEF extends D03RA.Abstract_D03RA_PDEDEF { + + private static final double ACTIV_ENERGY = 20.0; + private static final double DIFFUSION = 0.1; + private static final double HEAT_RELEASE = 1.0; + private static final double REACTION_RATE = 5.0; + + public void eval() { + + double damkohler; + + damkohler = REACTION_RATE * Math.exp(ACTIV_ENERGY) + / (HEAT_RELEASE * ACTIV_ENERGY); + + for (int col = 0; col < this.NPDE; col++) { + for (int row = 0; row < this.NPTS; row++) { + int idx = (col * this.NPTS) + row; + this.RES[idx] = this.UT[idx] + - (DIFFUSION * (this.UXX[idx] + this.UYY[idx])) + - (damkohler + * (1.0e0 + HEAT_RELEASE - this.U[idx]) + * Math.exp(-ACTIV_ENERGY / this.U[idx])); + } + } + + } + + } + + public static class BNDRY extends D03RA.Abstract_D03RA_BNDARY { + + public void eval() { + X02AJ x02aj = new X02AJ(); + double tol; + + // X02AJ returns machine precision + tol = 10.0 * x02aj.eval(); + + for (int i = 0; i < this.NBPTS; i++) { + int j = this.LBND[i] - 1; + + if (Math.abs(this.X[j]) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.UX[idx]; + } + } + else if (Math.abs(this.X[j] - 1.0) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.U[idx] - 1.0; + } + } + else if (Math.abs(this.Y[j]) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.UY[idx]; + } + } + else if (Math.abs(this.Y[j] - 1.0) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.U[idx] - 1.0; + } + } + } + + } + + } + + public static class MONIT extends D03RA.Abstract_D03RA_MONITR { + + public void eval() { + int ipsol, k, level, npts; + + if (TLAST) { + // Print solution + level = this.NLEV - 1; + npts = this.NGPTS[level]; + ipsol = this.LSOL[level]; + k = 0; + for (int i = 0; i < level; i++) { + k += this.NGPTS[i]; + } + + System.out.printf( + " Solution at every 4th grid point in level%10d" + + " at time %8.4f:%n%n", this.NLEV, this.T + ); + System.out.println( + " x y approx u\n" + ); + for (int i = 0; i < npts; i += 4) { + double ix = this.XPTS[k + i]; + double iy = this.YPTS[k + i]; + double isol = this.SOL[ipsol + i]; + System.out.printf( + " %11.4E %11.3E %11.3E%n", + ix, iy, isol + ); + } + System.out.println(); + + } + + } + + } + + public static class MONITDUMMY extends D03RA.Abstract_D03RA_MONITR { + + public void eval() { + return; + } + + } + + public static int[] computeWkspaceLens(int maxlev, int npde, int maxpts) { + int lenrwk, leniwk, lenlwk; + + lenrwk = (2 * maxpts * npde * ((5 * maxlev) + (18 * npde) + 9)) + + (2 * maxpts); + leniwk = (2 * maxpts * (14 + (5 * maxlev))) + + (7 * maxlev) + 2; + lenlwk = (2 * maxpts) + 400; + + return new int[] {lenrwk, leniwk, lenlwk}; + + } + + public static void printStatistics(double ts, int[] iwk, int maxlev) { + int[] istats = new int[4]; + + System.out.printf(" Statistics:%n"); + System.out.printf(" Time = %8.4f%n", ts); + System.out.printf( + " Total number of accepted timesteps =%5d%n", iwk[0] + ); + System.out.printf( + " Total number of rejected timesteps =%5d%n", iwk[1] + ); + System.out.printf( + "%n" + + " Total number (rounded) of%n" + + " Residual Jacobian Newton Lin sys%n" + + " evals evals iters iters%n" + + " At level %n" + ); + + for (int j = 0; j < maxlev; j++) { + if (iwk[j + 2] != 0) { + int idx = 0; + for (int i = j+2; i <= j+2+(3*maxlev); i += maxlev) { + istats[idx++] = iwk[i]; + } + istats = roundStatisics(istats); + System.out.printf("%8d", j + 1); + for (int i = 0; i < 4; i++) { + System.out.printf("%10d", istats[i]); + } + System.out.printf("%n"); + } + } + + System.out.printf( + "%n" + + " Maximum number of %n" + + " Newton iters Lin sys iters %n" + + " At level %n" + ); + + for (int j = 0; j < maxlev; j++) { + if (iwk[j+2] != 0) { + System.out.printf("%8d", j+1); + System.out.printf("%14d", iwk[j+2+(4*maxlev)]); + System.out.printf("%14d", iwk[j+2+(5*maxlev)]); + System.out.printf("%n"); + } + } + System.out.println(); + + } + + public static int[] roundStatisics(int[] istat) { + double lt; + int k; + + lt = Math.log(10.0); + for (int i = 0; i < istat.length; i++) { + // istat = 0 leads to div by 0 error, doesn't need rounding anyway + if (istat[i] != 0) { + k = (int) (Math.log((double) istat[i]) / lt); + k = (int) Math.pow(10, k); + istat[i] = k * ((istat[i] + k/2)/k); + } + } + + return istat; + + } + +} diff --git a/simple_examples/D03RBJE.java b/simple_examples/D03RBJE.java new file mode 100644 index 0000000..97faf1c --- /dev/null +++ b/simple_examples/D03RBJE.java @@ -0,0 +1,388 @@ +import com.nag.routines.D03.D03RB; +import com.nag.routines.D03.D03RZ; +import java.util.Arrays; + +/** + * D03RB example program text. + * @author joed + */ +public class D03RBJE { + + public static final int ITRACE = -1; + public static final int NPDE = 2; + public static final double[] TWANT = {0.25, 1.0}; + + public static boolean do_monitr; + public static int print_stats = 0; + + public static BNDARY bndary = new BNDARY(); + public static INIDOM inidom = new INIDOM(); + public static MONITR monitr = new MONITR(); + public static PDEDEF pdedef = new PDEDEF(); + public static PDEIV pdeiv = new PDEIV(); + + public static void main(String[] args) { + D03RB d03rb = new D03RB(); + double tols, tolt, tout, ts; + int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, mxlev, npts; + boolean[] lwk; + double[] optr, rwk, dt = new double[3]; + int[] iwk, opti = new int[4]; + + System.out.println(" D03RBJ Example Program Results"); + + npts = 3000; + mxlev = 7; + + leniwk = 10 * npts * (5 * mxlev + 14) + 2 + 7 * mxlev; + lenlwk = 20 * npts; + lenrwk = 20 * (npts * NPDE * (5 * mxlev + 9 + 18 * NPDE) + 2 * npts); + + rwk = new double[lenrwk]; + iwk = new int[leniwk]; + lwk = new boolean[lenlwk]; + optr = new double[3 * NPDE]; + + // Specify that we are starting the integration in time + // (ind = 0 normally). + ind = 10; + + ts = 0.0; + dt[0] = 0.001; + dt[1] = 1.0E-7; + dt[2] = 0.0; + tols = 0.1; + tolt = 0.05; + opti[0] = mxlev; + maxlev = opti[0]; + Arrays.fill(opti, 1, 4, 0); + Arrays.fill(optr, 1.0); + + // Call main routine + for (int iout = 1; iout <= 2; iout++) { + do_monitr = (iout == 2); + tout = TWANT[iout - 1]; + + ifail = 0; + d03rb.eval( + NPDE, ts, tout, dt, tols, tolt, inidom, pdedef, bndary, pdeiv, + monitr, opti, optr, rwk, lenrwk, iwk, leniwk, lwk, lenlwk, + ITRACE, ind, ifail + ); + ind = d03rb.getIND(); + ifail = d03rb.getIFAIL(); + ts = d03rb.getTS(); + + if (print_stats != 0) { + System.out.printf(" Statistics:\n"); + System.out.printf(" Time = %8.4f\n", ts); + System.out.printf( + " Total number of accepted timesteps =%5d\n", iwk[0] + ); + System.out.printf( + " Total number of rejected timesteps =%5d\n", iwk[1] + ); + System.out.println( + " Total number of " + + " maximum number of " + ); + System.out.println( + " Residual Jacobian Newton Newton " + ); + System.out.println( + " evals evals iters iters " + ); + System.out.println(" Level "); + + maxlev = opti[0]; + for (int j = 0; j < maxlev; j++) { + if (iwk[j+2] != 0) { + System.out.printf( + "%4d%10d%10d%10d%10d\n", + j+1, + iwk[j + 2 + 0*maxlev], + iwk[j + 2 + 1*maxlev], + iwk[j + 2 + 2*maxlev], + iwk[j + 2 + 4*maxlev] + ); + } + } + System.out.println(); + + } + + } + + } + + public static class PDEIV extends D03RB.Abstract_D03RB_PDEIV { + + public void eval(int NPTS, int NPDE, double T, double[] X, double[] Y, double[] U) { + this.setNPTS(NPTS); + this.setNPDE(NPDE); + this.setT(T); + this.setX(X); + this.setY(Y); + this.setU(U); + this.eval(); + } + + public void eval() { + double eps = 0.001, a; + + for (int i = 1; i <= this.NPTS; i++) { + a = (4.0 * (this.Y[i-1] - this.X[i-1]) - this.T) / (32.0 * eps); + if (a <= 0.0) { + this.U[getIdx(i, 1, this.NPTS)] + = 0.75 - 0.25 / (1.0 + Math.exp(a)); + this.U[getIdx(i, 2, this.NPTS)] + = 0.75 + 0.25 / (1.0 + Math.exp(a)); + } + else { + a = -a; + this.U[getIdx(i, 1, this.NPTS)] + = 0.75 - 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); + this.U[getIdx(i, 2, this.NPTS)] + = 0.75 + 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); + } + } + + } + + } + + public static class INIDOM extends D03RB.Abstract_D03RB_INIDOM { + + public void eval() { + int ifail, leniwk; + int[] icold, ilbndd, irowd, lbndd, llbndd, lrowd; + int[] iwk = new int[122]; + String[] pgrid = new String[11]; + + for (int i = 0; i < 11; i++) { + pgrid[i] = " "; + } + + icold = new int[]{ + 0,1,2,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5, + 6,7,8,9,10,0,1,2,3,4,5,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4, + 5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,0,1,2,3,4, + 5,6,7,8,0,1,2,3,4,5,6,7,8 + }; + + ilbndd = new int[]{ + 1,2,3,4,1,4,1,2,3,4,3,4,1,2,12,23,34,41,14,41,12,23,34,41,43,14, + 21,32 + }; + + irowd = new int[]{0,1,2,3,4,5,6,7,8,9,10}; + + lbndd = new int[]{ + 2,4,15,26,37,46,57,68,79,88,98,99,100,101,102,103,104,96,86,85, + 84,83,82,70,59,48,39,28,17,6,8,9,10,11,12,13,18,29,40,49,60,72, + 73,74,75,76,77,67,56,45,36,25,33,32,42,52,53,43,1,97,105,87,81, + 3,7,71,78,14,31,51,54,34 + }; + + llbndd = new int[]{ + 1,2,11,18,19,24,31,37,42,48,53,55,56,58,59,60,61,62,63,64,65,66, + 67,68,69,70,71,72 + }; + + lrowd = new int[]{1,4,15,26,37,46,57,68,79,88,97}; + + this.NX = 11; + this.NY = 11; + + // Check MAXPTS against rough estimate of NPTS. + this.NPTS = this.NX * this.NY; + if (this.MAXPTS < this.NPTS) { + this.IERR = -1; + return; + } + + this.XMIN = 0.0; + this.YMIN = 0.0; + this.XMAX = 1.0; + this.YMAX = 1.0; + + this.NROWS = 11; + this.NPTS = 105; + this.NBNDS = 28; + this.NBPTS = 72; + + for (int i = 0; i < this.NROWS; i++) { + this.LROW[i] = lrowd[i]; + this.IROW[i] = irowd[i]; + } + + for (int i = 0; i < this.NBNDS; i++) { + this.LLBND[i] = llbndd[i]; + this.ILBND[i] = ilbndd[i]; + } + + for (int i = 0; i < this.NBPTS; i++) { + this.LBND[i] = lbndd[i]; + } + + for (int i = 0; i < this.NPTS; i++) { + this.ICOL[i] = icold[i]; + } + + } + + } + + public static class PDEDEF extends D03RB.Abstract_D03RB_PDEDEF { + + public void eval() { + + double eps = 1E-3; + int n = this.NPTS; // For concise getIdx calls + + for (int i = 1; i <= n; i++) { + this.RES[getIdx(i, 1, n)] + = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 1, n)] + - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 1, n)] + + eps * (this.UXX[getIdx(i, 1, n)] + + this.UYY[getIdx(i, 1, n)]); + this.RES[getIdx(i, 2, n)] + = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 2, n)] + - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 2, n)] + + eps * (this.UXX[getIdx(i, 2, n)] + + this.UYY[getIdx(i, 2, n)]); + this.RES[getIdx(i, 1, n)] + = this.UT[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; + this.RES[getIdx(i, 2, n)] + = this.UT[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; + } + + } + + } + + public static class BNDARY extends D03RB.Abstract_D03RB_BNDARY { + + public void eval() { + + double a, eps = 1E-3; + int i, n = this.NPTS; + + for (int k = this.LLBND[0]; k <= this.NBPTS; k++) { + i = this.LBND[k - 1]; + a = (-4.0 * this.X[i - 1] + 4.0 * this.Y[i - 1] - this.T) + / (32.0 * eps); + + if (a <= 0.0) { + this.RES[getIdx(i, 1, n)] + = 0.75 - 0.25 / (1.0 + Math.exp(a)); + this.RES[getIdx(i, 2, n)] + = 0.75 + 0.25 / (1.0 + Math.exp(a)); + } + else { + a = -a; + this.RES[getIdx(i, 1, n)] + = 0.75 - (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); + this.RES[getIdx(i, 2, n)] + = 0.75 + (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); + } + + this.RES[getIdx(i, 1, n)] + = this.U[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; + this.RES[getIdx(i, 2, n)] + = this.U[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; + + } + + } + + } + + public static class MONITR extends D03RB.Abstract_D03RB_MONITR { + + public void eval() { + + D03RZ d03rz = new D03RZ(); + double aprxU, exctU, aprxV, exctV; + int maxpts = 6000; + int ifail, ipsol, npts; + double[] uex = new double[105*2], x = new double[maxpts], + y = new double[maxpts]; + + for (int level = 0; level < this.NLEV; level++) { + + if (!this.TLAST) { + break; + } + + ipsol = this.LSOL[level]; + + // Get grid information + ifail = -1; + npts = 0; + d03rz.eval( + level + 1, this.NLEV, this.XMIN, this.YMIN, this.DXB, + this.DYB, this.LGRID, this.ISTRUC, npts, x, y, maxpts, + ifail + ); + ifail = d03rz.getIFAIL(); + npts = d03rz.getNPTS(); + + if (ifail != 0) { + this.IERR = 1; + break; + } + + // Skip printing? + if (!do_monitr || (level != 0)) { + continue; + } + + // Get exact solution + pdeiv.eval(npts, this.NPDE, this.T, x, y, uex); + + System.out.println(); + System.out.printf( + " Solution at every 2nd grid point in level %d at" + + " time %8.4f:\n\n", level + 1, this.T + ); + System.out.print( + " x y approx u exact u approx v" + + " exact v\n\n" + ); + + ipsol = this.LSOL[level]; + + for (int i = 0; i < npts; i += 2) { + aprxU = this.SOL[ipsol + i]; + exctU = uex[getIdx(i+1, 1, npts)]; + aprxV = this.SOL[ipsol + npts + i]; + exctV = uex[getIdx(i+1, 2, npts)]; + System.out.printf( + " %9.2f %9.2f %9.2f %9.2f %9.2f %9.2f\n", + x[i], y[i], aprxU, exctU, aprxV, exctV + ); + } + System.out.println(); + + } + + } + + } + + /** + * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based + * Java index. + * + *

    Fortran array definition: + * a(dimX, *) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + +} diff --git a/simple_examples/D05BAJE.java b/simple_examples/D05BAJE.java new file mode 100644 index 0000000..7a8caf7 --- /dev/null +++ b/simple_examples/D05BAJE.java @@ -0,0 +1,111 @@ +import com.nag.routines.D05.D05BA; +import com.nag.routines.X02.X02AJ; + +/** + * D05BAJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class D05BAJE{ + + /** + * D05BAJE main program + */ + public static void main(String[] args){ + double alim, h, hi, si, thresh, tlim, tol; + int ifail, iorder, lwk, nmesh = 6; + String method; + double[] errest, yn, work; + + errest = new double[nmesh]; + yn = new double[nmesh]; + + System.out.println("D05BAJ Example Program Results"); + + method = "A"; + iorder = 6; + alim = 0; + tlim = 20; + h = (tlim - alim) / (double) nmesh; + tol = 0.001; + X02AJ x02aj = new X02AJ(); + thresh = x02aj.eval(); + lwk = 10 * nmesh + 6; + work = new double[lwk]; + + //Loop until the supplied workspace is big enough + //breakflag used to exit loop + boolean breakflag = false; + while(true){ + ifail = 1; + + ck ck1 = new ck(); + cf cf1 = new cf(); + cg cg1 = new cg(); + + D05BA d05ba = new D05BA(ck1, cg1, cf1, method, iorder, alim, tlim, yn, errest, nmesh, + tol, thresh, work, lwk, ifail); + d05ba.eval(); + + //update + ifail = d05ba.getIFAIL(); + lwk = d05ba.getLWK(); + work = d05ba.getWORK(); + + switch(ifail){ + case 5: + lwk = (int) work[0]; + work = new double[lwk]; + break; + case 6: + lwk = (int) work[0]; + work = new double[lwk]; + break; + default: + breakflag = true; + } + + if(breakflag == true){ + break; + } + } + + if(ifail != 0){ + System.out.printf("D05BAJ exited with IFAIL = %d\n", ifail); + } + + System.out.println(); + System.out.printf("Size of workplace = %d\n", lwk); + System.out.printf("Tolerance = %.4e\n", tol); + System.out.println(); + System.out.print("T\tApprox. Sol.\tTrue Sol.\tEst. Error\tActual Error\n"); + for(int i = 0; i < nmesh; i++){ + hi = (double) (i + 1) * h; + si = sol(hi); + System.out.printf("%.2f\t%.5f\t\t%.5f\t\t%.5e\t%.5e\n", (alim + hi), yn[i], si, errest[i], Math.abs((yn[i] - si) / si)); + } + } + + private static double sol(double t){ + return Math.log(t + Math.exp(1)); + } + + public static class ck extends D05BA.Abstract_D05BA_CK{ + public double eval(){ + return Math.exp(-this.T); + } + } + + public static class cf extends D05BA.Abstract_D05BA_CF{ + public double eval(){ + return Math.exp(-this.T); + } + } + + public static class cg extends D05BA.Abstract_D05BA_CG{ + public double eval(){ + return (this.Y + Math.exp(-this.Y)); + } + } +} + diff --git a/simple_examples/D05BEJE.java b/simple_examples/D05BEJE.java new file mode 100644 index 0000000..f98bea3 --- /dev/null +++ b/simple_examples/D05BEJE.java @@ -0,0 +1,185 @@ +import com.nag.routines.D05.D05BE; +import com.nag.routines.X01.X01AA; +import com.nag.routines.X02.X02AJ; + +/** + * D05BEJ example program text. + * @author willa + */ +public class D05BEJE{ + + private static final int iorder = 4; + private static final int nmesh = (int)(Math.pow(2, 6) + (2 * iorder) - 1); + private static final int nout = 6; + private static final int lct = nmesh / 32 + 1; + private static final int lwk = ((2 * iorder) + 6) * nmesh + (8 * iorder * iorder) - (16 * iorder) + 1; + + public static void main(String[] args){ + double err, errmax, h, hi1, soln = 0, t = 0, tlim, tolnl; + int ifail; + double[] work, yn; + int[] nct; + + work = new double[lwk]; + yn = new double[nmesh]; + nct = new int[lct]; + + System.out.println("D05BEJ Example Program Results"); + + X02AJ x02aj = new X02AJ(); + tlim = 7; + tolnl = Math.sqrt(x02aj.eval()); + h = tlim /(double) (nmesh - 1); + yn[0] = 0; + + ifail = 0; + + D05BE d05be = new D05BE(); + ck1 k1 = new ck1(); + cf1 f1 = new cf1(); + cg1 g1 = new cg1(); + d05be.eval(k1, f1, g1, "Initial", iorder, tlim, tolnl, nmesh, yn, work, lwk, nct, ifail); + + //UPDATE + yn = d05be.getYN(); + + System.out.println(); + System.out.println("Example 1"); + System.out.println(); + System.out.printf("The stepsize h = %.4f\n", h); + System.out.println(); + System.out.println("\tT\tApproximate"); + System.out.println("\t\tSolution"); + System.out.println(); + + errmax = 0; + + for(int i = 1; i < nmesh; i++){ + hi1 = (double) i * h; + err = Math.abs(yn[i] - sol1(hi1)); + + if(err > errmax){ + errmax = err; + t = hi1; + soln = yn[i]; + } + + if((i > 4) && (i % 5 == 0)){ + System.out.printf("\t%.4f\t%.4f\n", hi1, yn[i]); + } + } + + System.out.println(); + System.out.printf("The maximum absolute error, %.2e, occured at T = %.4f with solution %.4f\n", errmax, t, soln); + System.out.println(); + + tlim = 5; + h = tlim /(double) (nmesh - 1); + yn[0] = 1; + + ifail = 0; + + ck2 k2 = new ck2(); + cf2 f2 = new cf2(); + cg2 g2 = new cg2(); + d05be.eval(k2, f2, g2, "Subsequent", iorder, tlim, tolnl, nmesh, yn, work, lwk, nct, ifail); + + //UPDATE + yn = d05be.getYN(); + + System.out.println(); + System.out.println("Example 2"); + System.out.println(); + System.out.printf("The stepsize h = %.4f\n", h); + System.out.println(); + System.out.println("\tT\tApproximate"); + System.out.println("\t\tSolution"); + System.out.println(); + + errmax = 0; + + for(int i = 0; i < nmesh; i++){ + hi1 = (double) i * h; + err = Math.abs(yn[i] - sol2(hi1)); + if(err > errmax){ + errmax = err; + t = hi1; + soln = yn[i]; + } + + if((i > 6) && (i % 7 == 0)){ + System.out.printf("\t%.4f\t%.4f\n", hi1, yn[i]); + } + } + + System.out.println(); + System.out.printf("The maximum absolute error, %.2e, occured at T = %.4f with solution %.4f\n", errmax, t, soln); + } + + private static double sol1(double t){ + double c, pi, t1, x = 0; + + //x is dummy variable + X01AA x01aa = new X01AA(x); + pi = x01aa.eval(); + + t1 = 1 + t; + c = 1 / Math.sqrt(2 * pi); + + return (c * (1 / Math.pow(t, 1.5)) * Math.exp((-t1 * t1) / (2 * t))); + } + + private static double sol2(double t){ + return (1 / (1 + t)); + } + + private static class ck1 extends D05BE.Abstract_D05BE_CK{ + public double eval(){ + return (Math.exp(-0.5 * this.T)); + } + } + + private static class ck2 extends D05BE.Abstract_D05BE_CK{ + double pi, x = 0; + + public double eval(){ + X01AA x01aa = new X01AA(x); + pi = x01aa.eval(); + return Math.sqrt(pi); + } + } + + private static class cf1 extends D05BE.Abstract_D05BE_CF{ + double a, pi, t1, x = 0; + + public double eval(){ + X01AA x01aa = new X01AA(x); + pi = x01aa.eval(); + + t1 = 1 + this.T; + a = 1 / Math.sqrt(pi * this.T); + return (-a * Math.exp((-0.5 * t1 * t1) / this.T)); + } + } + + private static class cf2 extends D05BE.Abstract_D05BE_CF{ + double st1; + + public double eval(){ + st1 = Math.sqrt(1 + this.T); + return ((-2 * Math.log(st1 + Math.sqrt(this.T))) / st1); + } + } + + private static class cg1 extends D05BE.Abstract_D05BE_CG{ + public double eval(){ + return this.Y; + } + } + + private static class cg2 extends D05BE.Abstract_D05BE_CG{ + public double eval(){ + return this.Y; + } + } +} diff --git a/simple_examples/DTFSMJE.java b/simple_examples/DTFSMJE.java new file mode 100644 index 0000000..a88b114 --- /dev/null +++ b/simple_examples/DTFSMJE.java @@ -0,0 +1,54 @@ +import com.nag.routines.F01.DTRTTF; +import com.nag.routines.F06.DTFSM; +import com.nag.routines.X04.X04CA; + +/** + * DTFSM example program text. Adapted from f06wbfe.f90 + * @author joed + */ +public class DTFSMJE { + + public static void main(String[] args) { + + double alpha = 4.21; + int ifail = 0, info = 0, m = 6, n = 4; + String side = "L", trans = "N", transr = "N", uplo = "L"; + DTFSM dtfsm = new DTFSM(); + DTRTTF dtrttf = new DTRTTF(); + X04CA x04ca = new X04CA(); + + System.out.println(" DTFSMJ Example Program Results\n"); + + // Set lower triangle of matrix A + double[] a = new double[m*m]; + for (int i = 0; i < m; i++) { + for (int j = 0; j < m; j++) { + a[i*m+j] = (j >= i) ? j+1 : 0; + } + } + + // Set matrix B + double[] b = new double[] { + 3.22, 1.64, 1.87, 5.20, 1.83, -1.10, + 1.37, 1.80, 2.87, -2.99, -2.71, -0.63, + 2.31, 0.38, 2.02, -0.91, -2.81, -0.50, + 0.29, -1.52, -0.80, -3.87, -1.13, 0.81 + }; + + // Convert A to rectangular full packed storage in ar + double[] ar = new double[(m*(m+1))/2]; + info = 0; + dtrttf.eval(transr, uplo, m, a, m, ar, info); + info = dtrttf.getINFO(); + + // Perform the matrix-matrix operation + dtfsm.eval(transr, side, uplo, trans, "N", m, n, alpha, ar, b, m); + + // Print result + ifail = 0; + x04ca.eval("General", " ", m, n, b, m, "The Solution", ifail); + ifail = x04ca.getIFAIL(); + + } + +} diff --git a/simple_examples/E01DAJE.java b/simple_examples/E01DAJE.java new file mode 100644 index 0000000..10c008f --- /dev/null +++ b/simple_examples/E01DAJE.java @@ -0,0 +1,182 @@ +import com.nag.routines.E01.E01DA; +import com.nag.routines.E02.E02DF; + +/** + * E01DA example program text. + */ +public class E01DAJE { + + public static void main(String[] args) { + + int mx = 7, my = 6, ifail = -1; + double[] x = new double[mx]; + double[] y = new double[my]; + double[] f = new double[mx*my]; + double[] lamda = new double[mx+4]; + double[] mu = new double[my+4]; + double[] c = new double[mx*my]; + double[] wrk = new double[(mx+6)*(my+6)]; + + int nx = 6, ny = 6, px = 0, py = 0; + double xlo = 1.0, xhi = 2.0; + double ylo = 0.0, yhi = 1.0; + + E01DA e01da = new E01DA(); + + // Input X, Y and function values on X-Y grid + x[0] = 1.00; + x[1] = 1.10; + x[2] = 1.30; + x[3] = 1.50; + x[4] = 1.60; + x[5] = 1.80; + x[6] = 2.00; + + y[0] = 0.00; + y[1] = 0.10; + y[2] = 0.40; + y[3] = 0.70; + y[4] = 0.90; + y[5] = 1.00; + + // On entry: F[my*(q-1)+r-1] must contain f(q,r), for q=1,2,...,mx + // and r=1,2,...,my. + f[0] = 1.00; + f[1] = 1.10; + f[2] = 1.40; + f[3] = 1.70; + f[4] = 1.90; + f[5] = 2.00; + f[6] = 1.21; + f[7] = 1.31; + f[8] = 1.61; + f[9] = 1.91; + f[10] = 2.11; + f[11] = 2.21; + f[12] = 1.69; + f[13] = 1.79; + f[14] = 2.09; + f[15] = 2.39; + f[16] = 2.59; + f[17] = 2.69; + f[18] = 2.25; + f[19] = 2.35; + f[20] = 2.65; + f[21] = 2.95; + f[22] = 3.15; + f[23] = 3.25; + f[24] = 2.56; + f[25] = 2.66; + f[26] = 2.96; + f[27] = 3.26; + f[28] = 3.46; + f[29] = 3.56; + f[30] = 3.24; + f[31] = 3.34; + f[32] = 3.64; + f[33] = 3.94; + f[34] = 4.14; + f[35] = 4.24; + f[36] = 4.00; + f[37] = 4.10; + f[38] = 4.40; + f[39] = 4.70; + f[40] = 4.90; + f[41] = 5.00; + + System.out.printf(" E01DAJ Example Program Results\n\n"); + e01da.eval(mx, my, x, y, f, px, py, lamda, mu, c, wrk, ifail); + + ifail = e01da.getIFAIL(); + switch (ifail) { + case 0: + System.out.printf(" I Knot LAMDA(I) J Knot MU(j)\n"); + for (int i = 3; i <= Math.max(mx,my); ++i) { + if (i <= mx) { + System.out.printf("%4d %9.4f", i+1, lamda[i]); + } + else { + System.out.printf(" "); + } + if (i <= my) { + System.out.printf("%8d %9.4f\n", i+1, mu[i]); + } + else { + System.out.printf("\n"); + } + } + System.out.printf("\n The B-Spline coefficients:\n"); + for (int i = 0; i < mx*my; ++i) { + System.out.printf("%9.4f", c[i]); + if ((i+1)%8 == 0) { + System.out.printf("\n"); + } + } + System.out.printf("\n"); + break; + default: + System.out.printf("\n Error detected by E01DA: %d\n", ifail); + } + + /* Evaluate the spline on a regular rectangular grid at nx*ny points + over the domain [xlo,xhi] x [ylo,yhi]. */ + px = e01da.getPX(); + py = e01da.getPY(); + int liwrk; + int lwrk = Math.min(4*nx+px, 4*ny+py); + if (4*nx+px > 4*ny+py) { + liwrk = ny + py - 4; + } + else { + liwrk = nx + px - 4; + } + double[] tx = new double[nx]; + double[] ty = new double[ny]; + double[] ff = new double[nx*ny]; + wrk = new double[lwrk]; + int[] iwrk = new int[liwrk]; + + /* Generate nx/ny equispaced x/y co-ordinates */ + double step = (xhi-xlo)/(nx-1); + tx[0] = xlo; + for (int i = 1; i < nx-1; i++) { + tx[i] = tx[i-1] + step; + } + tx[nx-1] = xhi; + + step = (yhi-ylo)/(ny-1); + ty[0] = ylo; + for (int i = 1; i < ny-1; i++) { + ty[i] = ty[i-1] + step; + } + ty[ny-1] = yhi; + + /* Evaluate the spline. */ + E02DF e02df = new E02DF(); + ifail = 0; + e02df.eval(nx,ny,px,py,tx,ty,lamda,mu,c,ff,wrk,lwrk,iwrk,liwrk,ifail); + + ifail = e02df.getIFAIL(); + switch (ifail) { + case 0: + System.out.printf("\n Spline evaluated on a regular mesh (X across, Y down):\n"); + System.out.printf(" "); + for (int i = 0; i < nx; ++i) { + System.out.printf(" %5.2f ", tx[i]); + } + System.out.printf("\n"); + for (int i = 0; i < ny; ++i) { + System.out.printf(" %5.2f ", ty[i]); + for (int j = 0; j < nx; ++j) { + System.out.printf(" %8.3f", ff[ny*j+i]); + } + System.out.printf("\n"); + } + break; + default: + System.out.printf("\n Error detected by E02DF: %d\n", ifail); + } + + } + +} diff --git a/simple_examples/E02ALJE.java b/simple_examples/E02ALJE.java new file mode 100644 index 0000000..372f125 --- /dev/null +++ b/simple_examples/E02ALJE.java @@ -0,0 +1,101 @@ +import com.nag.routines.E02.E02AL; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * E02ALJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class E02ALJE{ + + /** + * E02ALJ Example main program + */ + public static void main(String[] args){ + double dxx, ref = 0, s, t, xx; + int ifail, n = 0, m = 0, neval = 0; //placeholders + double[] a, x, y; + + a = new double[0]; + x = new double[0]; + y = new double[0]; //placeholders + + System.out.println("E02ALJ Example Program Results"); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[1]); + m = Integer.parseInt(sVal[2]); + neval = Integer.parseInt(sVal[3]); + + a = new double[m + 1]; + x = new double[n]; + y = new double[n]; + + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + x[i] = Double.parseDouble(sVal[1]); + y[i] = Double.parseDouble(sVal[2]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + System.exit(-2); + } + + ifail = 0; + E02AL e02al = new E02AL(n, x, y, m, a, ref, ifail); + e02al.eval(); + + //update + ref = e02al.getREF(); + x = e02al.getX(); + y = e02al.getY(); + + + System.out.println(); + System.out.printf(" Polynomial coefficients\n"); + for(int i = 0; i <= m; i++){ + System.out.printf("\t%.4e\n", a[i]); + } + System.out.println(); + System.out.printf(" Reference deviation = %.2e\n", ref); + System.out.println(); + System.out.printf("\tX\tFit\texp(x)\tResidual\n"); + + dxx = 1/(double)(neval - 1); + + for(int j = 0; j < neval; j++){ + xx = (double) j * dxx; + + s = a[m]; + + for(int i = m - 1; i >=0; i--){ + s = s * xx + a[i]; + } + + t = Math.exp(xx); + System.out.printf("\t%.2f\t%.4f\t%.4f\t%.2e\n", xx, s, t, (s - t)); + } + } +} + diff --git a/simple_examples/E04ABJE.java b/simple_examples/E04ABJE.java new file mode 100644 index 0000000..773f1ff --- /dev/null +++ b/simple_examples/E04ABJE.java @@ -0,0 +1,76 @@ +import com.nag.routines.E04.E04AB; + +/** + * E04ABJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class E04ABJE{ + + /** + * E04ABJE main program + */ + public static void main(String[] args){ + double a, b, e1, e2, f = 0, x = 0; //placeholders + int ifail, maxcal; + double[] ruser; + int[] iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println("E04ABJ Example Program Results"); + + //e1 and e2 are set to zero so that E04ABA will reset them to their default values + + e1 = 0; + e2 = 0; + + //The minimum is known to lie in the range (3.5, 5.0) + + a = 3.5; + b = 5.0; + + //Allow 30 calls of FUNCT + + maxcal = 30; + + ifail = -1; + funct funct1 = new funct(); + E04AB e04ab = new E04AB(funct1, e1, e2, a, b, maxcal, x, f, iuser, ruser, ifail); + e04ab.eval(); + + //update + ifail = e04ab.getIFAIL(); + a = e04ab.getA(); + b = e04ab.getB(); + x = e04ab.getX(); + f = e04ab.getF(); + maxcal = e04ab.getMAXCAL(); + + switch(ifail){ + case 0: + System.out.println(); + System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); + System.out.printf("Its estimated position is %.8f,\n", x); + System.out.printf("where the function value is %.4f\n", f); + System.out.printf("%d function evaluations were required\n", maxcal); + break; + case 2: + System.out.println(); + System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); + System.out.printf("Its estimated position is %.8f,\n", x); + System.out.printf("where the function value is %.4f\n", f); + System.out.printf("%d function evaluations were required\n", maxcal); + break; + default: + break; + } + } + + public static class funct extends E04AB.Abstract_E04AB_FUNCT{ + public void eval(){ + FC = Math.sin(this.XC) / this.XC; + } + } +} diff --git a/simple_examples/E04BBJE.java b/simple_examples/E04BBJE.java new file mode 100644 index 0000000..d7032f5 --- /dev/null +++ b/simple_examples/E04BBJE.java @@ -0,0 +1,81 @@ +import com.nag.routines.E04.E04BB; + +/** + * E04BBJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class E04BBJE{ + + /** + * E04BBJE main program + */ + public static void main(String[] args){ + double a, b, e1, e2, f = 0, g = 0, x = 0; //placeholders + int ifail, maxcal; + double[] ruser; + int[] iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println("E04BBJ Example Program Results"); + + //e1 and e2 are set to zero so that E04BBA will reset them to their default values + + e1 = 0; + e2 = 0; + + //The minimum is known to lie in the range (3.5, 5.0) + + a = 3.5; + b = 5.0; + + //Allow 30 calls of FUNCT + + maxcal = 30; + + ifail = -1; + funct funct1 = new funct(); + E04BB e04bb = new E04BB(funct1, e1, e2, a, b, maxcal, x, f, g, iuser, ruser, ifail); + e04bb.eval(); + + //update + a = e04bb.getA(); + b = e04bb.getB(); + maxcal = e04bb.getMAXCAL(); + x = e04bb.getX(); + f = e04bb.getF(); + g = e04bb.getG(); + ifail = e04bb.getIFAIL(); + + switch(ifail){ + case 0: + System.out.println(); + System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); + System.out.printf("Its estimated position is %.8f,\n", x); + System.out.printf("where the function value is %.4f\n", f); + System.out.printf("and the gradient is %.1e (machine dependent)\n", g); + System.out.printf("%d function evaluations were required\n", maxcal); + break; + case 2: + System.out.println(); + System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); + System.out.printf("Its estimated position is %.8f,\n", x); + System.out.printf("where the function value is %.4f\n", f); + System.out.printf("and the gradient is %.1e (machine dependent)\n", g); + System.out.printf("%d function evaluations were required\n", maxcal); + break; + default: + break; + } + } + + public static class funct extends E04BB.Abstract_E04BB_FUNCT{ + public void eval(){ + this.FC = Math.sin(this.XC) / this.XC; + this.GC = (Math.cos(this.XC) - this.FC)/this.XC; + } + } +} + diff --git a/simple_examples/E04CBJE.java b/simple_examples/E04CBJE.java new file mode 100644 index 0000000..fbde674 --- /dev/null +++ b/simple_examples/E04CBJE.java @@ -0,0 +1,90 @@ +import com.nag.routines.E04.E04CB; +import com.nag.routines.E04.E04CBK; +import com.nag.routines.X02.X02AJ; + +/** + * E04CBJ Example Program text + * @author willa + * @since 27.1.0.0 + */ +public class E04CBJE{ + + /** + * E04CBJE main program + */ + public static void main(String[] args){ + int n = 2, ifail, maxcal; + double f = 0, tolf, tolx; //placeholders + boolean monitoring; + int[] iuser; + double[] ruser, x; + + iuser = new int[1]; + ruser = new double[1]; + x = new double[n]; + + System.out.println("E04CBJ Example Program Results"); + + //Set monitoring to true to obtain monitoring information + monitoring = false; + + x[0] = -1.0; + x[1] = 1.0; + X02AJ x02aj = new X02AJ(); + tolf = Math.sqrt(x02aj.eval()); + tolx = Math.sqrt(tolf); + maxcal = 100; + + ifail = 0; + + funct funct1 = new funct(); + if(!monitoring){ + defMonit monit = new defMonit(); + E04CB e04cb = new E04CB(n, x, f, tolf, tolx, funct1, monit, maxcal, iuser, ruser, ifail); + e04cb.eval(); + } + else{ + myMonit monit = new myMonit(); + E04CB e04cb = new E04CB(n, x, f, tolf, tolx, funct1, monit, maxcal, iuser, ruser, ifail); + e04cb.eval(); + } + + System.out.println(); + System.out.printf("The final function value is \t%.4f\n", f); + System.out.printf("at the point\t"); + for(int i = 0; i < n; i++){ + System.out.printf("%.4f\t", x[i]); + } + System.out.printf("\n"); + } + + public static class funct extends E04CB.Abstract_E04CB_FUNCT{ + public void eval(){ + this.FC = Math.exp(this.XC[0]) * ((4 * this.XC[0] * (this.XC[0] + this.XC[1])) + (2 * this.XC[1] * (this.XC[1] + 1) + 1)); + } + } + + public static class myMonit extends E04CB.Abstract_E04CB_MONIT{ + public void eval(){ + System.out.println(); + System.out.printf("There have been %d function calls\n", this.NCALL); + System.out.printf("The smallest function value is %.4f\n", this.FMIN); + System.out.printf("The simplex is\n"); + for(int i = 0; i <= this.N; i++){ + for(int j = 0; j < this.N; j++){ + System.out.printf("%.4f\t", this.SIM[(j * (this.N + 1)) + i]); + } + System.out.printf("\n"); + } + System.out.printf("The standard deviation in function values of the vertices of the simplex is %.4f\n", this.SERROR); + System.out.printf("The linearized volume ratio of the current simplex to the starting one is %.4f\n", this.VRATIO); + } + } + + //This is how to use NAG supplied function as argument + public static class defMonit extends E04CBK implements E04CB.E04CB_MONIT{ + public void eval(){ + super.eval(); + } + } +} diff --git a/simple_examples/E04FCJE.java b/simple_examples/E04FCJE.java new file mode 100644 index 0000000..939f68d --- /dev/null +++ b/simple_examples/E04FCJE.java @@ -0,0 +1,420 @@ +import com.nag.routines.E04.E04FC; +import com.nag.routines.F06.DDOT; +import com.nag.routines.F06.DGEMV; +import com.nag.routines.X02.X02AJ; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.IOException; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * E04FC example program text. + * @author ludovic + */ +public class E04FCJE { + + public static void main(String[] args) { + + BufferedReader dataIn = null; + + try { + E04FC e04fc = new E04FC(); + System.out.println(" E04FCJ Example Program Results"); + dataIn = new BufferedReader(new FileReader(args[0])); + //skip header + dataIn.readLine(); + + int inc1 = 1, liw = 1, m, ldfjac = m = 15, n, ldv = n = 3, nt = 3, + lw = 6 * n + m * n + 2 * m + n * (n - 1) / 2; + String trans = "T"; + + double eta, fsumsq, stepmx, xtol; + eta = fsumsq = stepmx = xtol = Double.NaN; + int ifail, iprint, maxcal, nf, niter; + ifail = iprint = maxcal = nf = niter = 0; + double[] fjac = new double[m * n], + fvec = new double[m], + g = new double[n], + s = new double[n], + v = new double[ldv * n], + w = new double[lw], + x = new double[n], + y = new double[m], + t = new double[m * nt]; + + + int[] iw = new int[liw]; + + for (int i = 0; i < m; ++i) { + String[] line = dataIn.readLine().trim().split("\\s+"); + if (line.length != nt + 1) { + System.err.println("Error in data file - only " + line.length + + " records at line " + (i + 2) + " while expecting " + (nt + 1) + + " elements"); + System.exit(1); + } + y[i] = Double.parseDouble(line[0].replaceAll("D", "E")); // java doesn't know the D format + for (int j = 1; j <= nt; ++j) { + t[i + (j - 1) * m] = Double.parseDouble(line[j].replaceAll("D", "E")); + } + } + + // Set IPRINT to 1 to obtain output from LSQMON at each iteration + iprint = -1; + + maxcal = 400 * n; + eta = 0.5; + xtol = 10.0 * Math.sqrt((new X02AJ()).eval()); + + // We estimate that the minimum will be within 10 units of the starting point + stepmx = 10.0; + + // Set up the starting point + x[0] = 0.5; + x[1] = 1.0; + x[2] = 1.5; + + ifail = -1; + + LSQFUN lsqfun = new LSQFUN(); + lsqfun.t = t; + lsqfun.y = y; + LSQMON lsqmon = new LSQMON(); + + e04fc.eval(m, n, lsqfun, lsqmon, iprint, maxcal, eta, xtol, stepmx, x, fsumsq, + fvec, fjac, ldfjac, s, v, ldv, niter, nf, iw, liw, w, lw, ifail); + + ifail = e04fc.getIFAIL(); + + + switch (ifail) { + case (1): + System.err.println("Unexpected ifail = " + ifail); + break; + default: + System.out.println(); + System.out.printf(" On exit, the sum of squares is %12.4f\n", e04fc.getFSUMSQ()); + System.out.printf(" at the point %12.4f %12.4f %12.4f\n", x[0], x[1], x[2]); + lsqgrd(m, n, fvec, fjac, ldfjac, g); + System.out.print(" The estimated gradient is "); + for (int i = 0; i < n; ++i) { + System.out.printf(" %12.3e\t", g[i]); + } + System.out.println(); + System.out.println(" (machine dependent)"); + System.out.println(" and the residuals are"); + for (int i = 0; i < m; ++i) { + System.out.printf(" %9.1e\n", fvec[i]); + } + } + + + + } + catch (Exception ex) { + Logger.getLogger(E04FCJE.class.getName()).log(Level.SEVERE, null, ex); + } + finally { + try { + dataIn.close(); + } + catch (IOException ex) { + Logger.getLogger(E04FCJE.class.getName()).log(Level.SEVERE, null, ex); + } + } + + + } + + public static void lsqgrd(int m, int n, double[] fvec, double[] fjac, int ldfjac, double[] g) { + DGEMV dgemv = new DGEMV("T", m, n, 1.0, fjac, ldfjac, fvec, 1, 0.0, g, 1); + dgemv.eval(); + for (int i = 0; i < g.length; ++i) { + g[i] = 2.0 * g[i]; + } + } + + public static class LSQFUN implements E04FC.E04FC_LSQFUN { + + public double[] t, y; + int IFLAG, M, N, LW, LIW; + double[] XC, FVEC, W; + int[] IW; + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setM(int M) { + this.M = M; + } + + @Override + public int getM() { + return M; + } + + @Override + public void setN(int N) { + this.N = N; + } + + @Override + public int getN() { + return N; + } + + @Override + public void setXC(double[] XC) { + this.XC = XC; + } + + @Override + public double[] getXC() { + return XC; + } + + @Override + public void setFVEC(double[] FVEC) { + this.FVEC = FVEC; + } + + @Override + public double[] getFVEC() { + return FVEC; + } + + @Override + public void setIW(int[] IW) { + this.IW = IW; + } + + @Override + public int[] getIW() { + return IW; + } + + @Override + public void setLIW(int LIW) { + this.LIW = LIW; + } + + @Override + public int getLIW() { + return LIW; + } + + @Override + public void setW(double[] W) { + this.W = W; + } + + @Override + public double[] getW() { + return W; + } + + @Override + public void setLW(int LW) { + this.LW = LW; + } + + @Override + public int getLW() { + return LW; + } + + @Override + public void eval(int IFLAG, int M, int N, double[] XC, double[] FVEC, + int[] IW, int LIW, double[] W, int LW) { + for (int i = 0; i < M; ++i) { + FVEC[i] = XC[0] + t[i] / (XC[1] * t[i + M] + XC[2] * t[i + 2 * M]) - y[i]; + } + } + + } + + public static class LSQMON implements E04FC.E04FC_LSQMON { + + int M, N, LDFJAC, NITER, NF, IGRADE, LIW, LW; + int[] IW; + double[] XC, FVEC, FJAC, S, W; + + @Override + public void setM(int M) { + this.M = M; + } + + @Override + public int getM() { + return M; + } + + @Override + public void setN(int N) { + this.N = N; + } + + @Override + public int getN() { + return N; + } + + @Override + public void setXC(double[] XC) { + this.XC = XC; + } + + @Override + public double[] getXC() { + return XC; + } + + @Override + public void setFVEC(double[] FVEC) { + this.FVEC = FVEC; + } + + @Override + public double[] getFVEC() { + return FVEC; + } + + @Override + public void setFJAC(double[] FJAC) { + this.FJAC = FJAC; + } + + @Override + public double[] getFJAC() { + return FJAC; + } + + @Override + public void setLDFJAC(int LDFJAC) { + this.LDFJAC = LDFJAC; + } + + @Override + public int getLDFJAC() { + return LDFJAC; + } + + @Override + public void setS(double[] S) { + this.S = S; + } + + @Override + public double[] getS() { + return S; + } + + @Override + public void setIGRADE(int IGRADE) { + this.IGRADE = IGRADE; + } + + @Override + public int getIGRADE() { + return IGRADE; + } + + @Override + public void setNITER(int NITER) { + this.NITER = NITER; + } + + @Override + public int getNITER() { + return NITER; + } + + @Override + public void setNF(int NF) { + this.NF = NF; + } + + @Override + public int getNF() { + return NF; + } + + @Override + public void setIW(int[] IW) { + this.IW = IW; + } + + @Override + public int[] getIW() { + return IW; + } + + @Override + public void setLIW(int LIW) { + this.LIW = LIW; + } + + @Override + public int getLIW() { + return LIW; + } + + @Override + public void setW(double[] W) { + this.W = W; + } + + @Override + public double[] getW() { + return W; + } + + @Override + public void setLW(int LW) { + this.LW = LW; + } + + @Override + public int getLW() { + return LW; + } + + @Override + public void eval(int M, int N, double[] XC, double[] FVEC, double[] FJAC, + int LDFJAC, double[] S, int IGRADE, int NITER, int NF, int[] IW, + int LIW, double[] W, int LW) { + + int ndec = 3; + double fsumsq, gtg; + double[] g = new double[ndec]; + DDOT ddot = new DDOT(M, FVEC, 1, FVEC, 1); + fsumsq = ddot.eval(); + + lsqgrd(M, N, FVEC, FJAC, LDFJAC, g); + + gtg = ddot.eval(N, g, 1, g, 1); + // 99998 Format (1X,1P,E13.5,10X,1P,E9.1,10X,1P,E9.1) + System.out.println(); + System.out.println(" Itn F evals SUMSQ GTG Grade"); + System.out.printf(" %4d %5d %13.5e %9.1e %3d\n", + NITER, NF, fsumsq, gtg, IGRADE); + System.out.println(); + System.out.println(" X G Singular values"); + for (int j = 0; j < N; ++j) { + System.out.printf(" %13.5e %9.1e %9.1e\n",XC[j], g[j], S[j]); + } + + } + + } + +} diff --git a/simple_examples/E04FFJE.java b/simple_examples/E04FFJE.java new file mode 100644 index 0000000..ad81e32 --- /dev/null +++ b/simple_examples/E04FFJE.java @@ -0,0 +1,140 @@ +import com.nag.routines.E04.E04FF; +import com.nag.routines.E04.E04FFU; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RM; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04ZM; +import java.util.Arrays; + +/** + * E04FF example program text. + * @author joed + */ +public class E04FFJE { + + public static void main(String[] args) { + double infbnd = 1.0e20; + double[] lx, rx, ux, x, ruser, pdy, pdz; + double[] rinfo = new double[100], stats = new double[100]; + int ifail, isparse, nnzrd, nres, nvar, pdny, pdnz; + int[] iuser; + int[] icolrd = new int[1], irowrd = new int[1]; + long cpuser, handle; // c_ptr + MONIT monit = new MONIT(); + OBJFUN objfun = new OBJFUN(); + + /* Header */ + System.out.printf(" E04FFJ Example Program Results\n\n"); + + /* Fill problem data structure */ + pdny = 11; + pdnz = 11; + pdy = new double[] { + 4.0e0, 2.0e0, 1.0e0, 5.0e-1, 2.5e-1, 1.67e-1, 1.25e-1, 1.0e-1, + 8.33e-2, 7.14e-2, 6.25e-2 + }; + pdz = new double[] { + 1.957e-1, 1.947e-1, 1.735e-1, 1.6e-1, 8.44e-2, 6.27e-2, 4.56e-2, + 3.42e-2, 3.23e-2, 2.35e-2, 2.46e-2 + }; + nvar = 4; + nres = 11; + + /* Initialize handle */ + E04RA e04ra = new E04RA(); + handle = 0; + ifail = 0; // hard fail + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + /* Define residuals structure */ + E04RM e04rm = new E04RM(); + isparse = 0; // Dense => irowrd and icolrd are not accessed + nnzrd = 1; + ifail = 0; + e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); + + /* Set options */ + E04ZM e04zm = new E04ZM(); + ifail = 0; + e04zm.eval(handle, "DFLS Trust Region Tolerance = 5.0e-6", ifail); + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + + /* Define starting point */ + x = new double[] {0.25, 0.39, 0.415, 0.39}; + rx = new double[nres]; + + /* Define bounds for the second and the fourth variable */ + E04RH e04rh = new E04RH(); + lx = new double[] {-infbnd, 0.2, -infbnd, 0.3}; + ux = new double[] {infbnd, 1.0, infbnd, infbnd}; + ifail = 0; + e04rh.eval(handle, nvar, lx, ux, ifail); + + /* Call the solver */ + E04FF e04ff = new E04FF(); + ifail = -1; + iuser = new int[] {pdny, pdnz}; + ruser = new double[2 * nres]; + cpuser = 0L; + for (int i = 0; i < nres; i++) { + ruser[i] = pdy[i]; + ruser[nres + i] = pdz[i]; + } + e04ff.eval(handle, objfun, monit, nvar, x, nres, rx, rinfo, stats, + iuser, ruser, cpuser, ifail); + + /* Free handle memory */ + E04RZ e04rz = new E04RZ(); + ifail = 0; + e04rz.eval(handle, ifail); + + } + + public static class OBJFUN extends E04FF.Abstract_E04FF_OBJFUN { + + public void eval() { + int pdny, pdnz; + double r1, r2; + double[] pdy, pdz; + + /* Interrupt solver if the dimensions are incorrect */ + if (this.NRES != 11 || this.NVAR != 4) { + this.INFORM = -1; + return; + } + + /* Extract the problem data structure from the workspaces */ + pdny = this.IUSER[0]; + pdnz = this.IUSER[1]; + if (pdny != this.NRES || pdnz != this.NRES) { + this.INFORM = -1; + return; + } + pdy = Arrays.copyOfRange(this.RUSER, 0, pdny); + pdz = Arrays.copyOfRange(this.RUSER, pdny, pdny + pdnz); + + for (int i = 0; i < this.NRES; i++) { + r1 = pdy[i] * (pdy[i] + this.X[1]); + r2 = pdy[i] * (pdy[i] + this.X[2]) + this.X[3]; + this.RX[i] = pdz[i] - (this.X[0] * r1/r2); + } + + } + + } + + public static class MONIT extends E04FF.Abstract_E04FF_MONIT { + + public void eval() { + E04FFU e04ffu = new E04FFU(); + e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, + this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ffu.getINFORM(); + } + + } + +} diff --git a/simple_examples/E04GBJE.java b/simple_examples/E04GBJE.java new file mode 100644 index 0000000..7becf21 --- /dev/null +++ b/simple_examples/E04GBJE.java @@ -0,0 +1,183 @@ +import com.nag.routines.A00.A00AA; +import com.nag.routines.E04.E04GB; +import com.nag.routines.E04.E04HEV; +import com.nag.routines.E04.E04YA; +import com.nag.routines.F06.DDOT; +import com.nag.routines.F06.F06PA; +import com.nag.routines.X02.X02AJ; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * E04GB example program text. + */ +public class E04GBJE { + + public static final int inc1 = 1, liw = 1, m = 15, n = 3, nt = 3; + public static final int ldfjac = m, ldv = n, lw = 7*n + m*n + 2*m + n*n; + public static final String trans = "T"; + public static double[] y; + public static double[] t; + + public static void main(String[] args) { + + double eta, fsumq = 0.0, stepmx, xtol; + int ifail, iprint, maxcal, nf = 0, niter = 0; + double[] fjac = new double[ldfjac * n]; + double[] fvec = new double[m]; + double[] g = new double[n]; + double[] s = new double[n]; + double[] v = new double[ldv * n]; + double[] w = new double[lw * n]; + double[] x = new double[n]; + int[] iw = new int[liw]; + + System.out.println(" E04GBJ Example Program Results"); + + // Data + y = new double[] { + 0.14, 0.18, 0.22, 0.25, 0.29, 0.32, 0.35, 0.39, 0.37, 0.58, 0.73, + 0.96, 1.34, 2.10, 4.39 + }; + + t = new double[m * nt]; + for (int i = 0; i < m; i++) { + t[i] = i + 1.0; + t[m + i] = 15.0 - i; + t[2*m + i] = -Math.abs(i - 7.0) + 8.0; + } + + // Check LSQFUN by calling E04YA at an arbitrary point + E04YA e04ya = new E04YA(); + LSQFUN lsqfun = new LSQFUN(); + x[0] = 0.19; + x[1] = -.34; + x[2] = 0.88; + ifail = 0; + e04ya.eval(m, n, lsqfun, x, fvec, fjac, ldfjac, iw, liw, w, lw, ifail); + + // Continue setting parameters for E04GB + E04GB e04gb = new E04GB(); + LSQMON lsqmon = new LSQMON(); + LSQLIN lsqlin = new LSQLIN(); + iprint = -1; // Set to 1 to obtain output from LSQMON at each iteration + maxcal = 50 * n; + eta = 0.09; // Since E04HEV is being used as LSQLIN + xtol = 10.0 * Math.sqrt((new X02AJ()).eval()); + stepmx = 10.0; + + // Set up the starting point + x[0] = 0.5; + x[1] = 1.0; + x[2] = 1.5; + + ifail = -1; + e04gb.eval(m, n, lsqlin, lsqfun, lsqmon, iprint, maxcal, eta, xtol, + stepmx, x, fsumq, fvec, fjac, ldfjac, s, v, ldv, niter, nf, iw, + liw, w, lw, ifail); + fsumq = e04gb.getFSUMSQ(); + x = e04gb.getX(); + ifail = e04gb.getIFAIL(); + + if (ifail == 0 || ifail >= 2) { + System.out.println(); + System.out.printf(" On exit, the sum of squares is %12.4f\n", fsumq); + System.out.printf(" at the point "); + for (int ii = 0; ii < n; ++ii) { + System.out.printf("%12.4f", x[ii]); + } + System.out.println(); + + lsqmon.lsqgrd(m, n, fvec, fjac, ldfjac, g); + + System.out.print(" The corresponding gradient is"); + for (int ii = 0; ii < n; ++ii) { + System.out.printf("%12.3E", g[ii]); + } + System.out.println(); + System.out.println(" (machine dependent)"); + System.out.println(" and the residuals are"); + for (int ii = 0; ii < m; ++ii) { + System.out.printf(" %9.1E\n", fvec[ii]); + } + System.out.println(); + } + + } + + /** Routine to evaluate the residuals and their 1st derivatives. */ + public static class LSQFUN extends E04GB.Abstract_E04GB_LSQFUN implements E04YA.E04YA_LSQFUN { + + public void eval() { + double denom, dummy; + + for (int i = 0; i < m; i++) { + denom = this.XC[1] * t[i + this.M] + this.XC[2] * t[i + 2*this.M]; + this.FVEC[i] = this.XC[0] + t[i] / denom - y[i]; + + if (this.IFLAG != 0) { + this.FJAC[i] = 1.0; + dummy = -1.0 / (denom * denom); + this.FJAC[i + ldfjac] = t[i] * t[i + this.M] * dummy; + this.FJAC[i + 2*ldfjac] = t[i] * t[i + 2*this.M] * dummy; + } + } + + } + + } + + public static class LSQMON extends E04GB.Abstract_E04GB_LSQMON { + + public static final int ndec = 3; + + /** Monitoring routine. */ + public void eval() { + double fsumsq, gtg; + double[] g = new double[ndec]; + DDOT ddot = new DDOT(); + + fsumsq = ddot.eval(this.M, this.FVEC, inc1, this.FVEC, inc1); + this.lsqgrd(this.M, this.N, this.FVEC, this.FJAC, this.LDFJAC, g); + gtg = ddot.eval(this.N, g, inc1, g, inc1); + + System.out.println(); + System.out.println(" Itn F evals SUMSQ GTG Grade"); + System.out.printf(" %4d %5d %13.5E %9.1E %3d\n", + this.NITER, this.NF, fsumsq, gtg, this.IGRADE); + System.out.println(); + System.out.println(" X G Singular values"); + for (int j = 0; j < n; j++) { + System.out.printf(" %13.5E %9.1E %9.1E\n", + this.XC[j], g[j], this.S[j]); + } + + } + + /** Routine to evaluate gradient of the sum of squares. */ + public void lsqgrd(int m, int n, double[] fvec, double[] fjac, int ldfjac, double[] g) { + F06PA f06pa = new F06PA(trans, m, n, 1.0, fjac, ldfjac, fvec, inc1, 0.0, g, inc1); + f06pa.eval(); + + for (int i = 0; i < n; ++i) { + g[i] = 2.0 * g[i]; + } + + } + + } + + /** Using E04HEV as LSQLIN. */ + private static class LSQLIN extends E04HEV implements E04GB.E04GB_LSQLIN { + + public void eval() { + super.eval(); + } + + } + +} diff --git a/simple_examples/E04GGJE.java b/simple_examples/E04GGJE.java new file mode 100644 index 0000000..8a18c6a --- /dev/null +++ b/simple_examples/E04GGJE.java @@ -0,0 +1,219 @@ +import com.nag.routines.E04.E04FFU; +import com.nag.routines.E04.E04GG; +import com.nag.routines.E04.E04GGV; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RM; +import com.nag.routines.E04.E04RX; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04ZM; + +/** + * E04GG example program text. + */ +public class E04GGJE { + + public static void main(String[] args) { + + final double infbnd = 1.0e20; + + long cpuser = 0, handle = 0; + int ifail, isparse, nnzrd, nres, nvar; + + double[] blx, bux, ruser, rx, x, z; + double[] rinfo = new double[100], stats = new double[100]; + int[] icolrd = new int[1], irowrd = new int[1], iuser = new int[1]; + + /* Header */ + System.out.println(" E04GGJ Example Program Results\n"); + + nvar = 6; + nres = 24; + // ruser = new double[2*nres]; + // Data from Lanczos 3 Problem + ruser = new double[] { + // t(:) = + 0.0e0, 5.0e-2, 1.0e-1, 1.5e-1, 2.0e-1, 2.5e-1, 3.0e-1, 3.5e-1, + 4.0e-1, 4.5e-1, 5.0e-1, 5.5e-1, 6.0e-1, 6.5e-1, 7.0e-1, 7.5e-1, + 8.0e-1, 8.5e-1, 9.0e-1, 9.5e-1, 1.0e0, 1.05e0, 1.10e0, 1.15e0, + // y(:) = + 2.5134, 2.0443, 1.6684, 1.3664, 1.1232, 0.9269, 0.7679, 0.6389, + 0.5338, 0.4479, 0.3776, 0.3197, 0.2720, 0.2325, 0.1997, 0.1723, + 0.1493, 0.1301, 0.1138, 0.1000, 0.0883, 0.0783, 0.0698, 0.0624 + }; + + iuser[0] = 0; + + // Initialize handle + ifail = 0; + E04RA e04ra = new E04RA(); + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + // Define residuals structure, isparse=0 means the residual structure is + // dense => irowrd and icolrd are not accessed + isparse = 0; + nnzrd = 0; + E04RM e04rm = new E04RM(); + e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); + + // Set options + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "BXNL Use Second Derivatives = Yes",ifail); + e04zm.eval(handle, "BXNL Model = Gauss-Newton",ifail); + e04zm.eval(handle, "BXNL Glob Method = Reg",ifail); + // Change printed output verbosity + e04zm.eval(handle, "Print Level = 1",ifail); + + // Define starting point + rx = new double[nres]; + z = new double[nvar]; + // x = new double[nvar]; + x = new double[] { + 1.2, 0.3, 5.6, 5.5, 6.5, 7.6 + }; + + // Define bounds + blx = new double[nvar]; + bux = new double[nvar]; + blx[0] = 0.0; + bux[0] = 1.0; + blx[1] = -1.0; + bux[1] = infbnd; + blx[2] = -1.0; + bux[2] = infbnd; + blx[3] = -1.0; + bux[3] = infbnd; + blx[4] = -1.0; + bux[4] = 1.0; + blx[5] = -1.0; + bux[5] = 10.0; + E04RH e04rh = new E04RH(); + e04rh.eval(handle, nvar, blx, bux, ifail); + + // Call the solver + ifail = -1; + E04GG e04gg = new E04GG(); + LSQFUN lsqfun = new LSQFUN(); + LSQGRD lsqgrd = new LSQGRD(); + LSQHES lsqhes = new LSQHES(); + LSQHPRD lsqhprd = new LSQHPRD(); + MONIT monit = new MONIT(); + + e04gg.eval(handle,lsqfun,lsqgrd,lsqhes,lsqhprd,monit,nvar,x,nres,rx,rinfo,stats,iuser,ruser,cpuser,ifail); + ifail = e04gg.getIFAIL(); + + // Recover latest iterate from handle if available + if (ifail == 0) { + ifail = -1; + E04RX e04rx = new E04RX(); + e04rx.eval(handle,"X",1,nvar,z,ifail); + ifail = e04rx.getIFAIL(); + if (ifail == 0) { + System.out.println("\nSolver stored solution iterate in the handle"); + System.out.print("X: "); + for (int i = 0; i < nvar; i++){ + System.out.printf("%8.2E ", z[i]); + } + System.out.println(); + } + } + + // Free the handle memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + + } + + public static class LSQFUN extends E04GG.Abstract_E04GG_LSQFUN { + + public void eval() { + for (int i = 0; i < this.NRES; i++){ + this.RX[i] = 0.0; + } + + for (int i = 0; i < this.NRES; i++){ + this.RX[i] = this.RUSER[this.NRES + i] - this.X[0] * Math.exp(-this.X[1] * this.RUSER[i]) - + this.X[2] * Math.exp(-this.X[3] * this.RUSER[i]) - this.X[4] * Math.exp(-this.X[5] * this.RUSER[i]); + } + + this.INFORM = 0; + } + } + + public static class LSQGRD extends E04GG.Abstract_E04GG_LSQGRD { + + public void eval() { + int i; + + for (i = 0; i < this.RDX.length; i++) { + this.RDX[i] = 0; + } + + for (i = 0; i < this.NRES; i++) { + this.RDX[i * this.NVAR + 0] = -Math.exp(-this.X[1] * this.RUSER[i]); + this.RDX[i * this.NVAR + 1] = this.RUSER[i] * this.X[0] * Math.exp(-this.X[1] * this.RUSER[i]); + this.RDX[i * this.NVAR + 2] = -Math.exp(-this.X[3] * this.RUSER[i]); + this.RDX[i * this.NVAR + 3] = this.RUSER[i] * this.X[2] * Math.exp(-this.X[3] * this.RUSER[i]); + this.RDX[i * this.NVAR + 4] = -Math.exp(-this.X[5] * this.RUSER[i]); + this.RDX[i * this.NVAR + 5] = this.RUSER[i] * this.X[4] * Math.exp(-this.X[5] * this.RUSER[i]); + } + + this.INFORM = 0; + } + } + + public static class LSQHES extends E04GG.Abstract_E04GG_LSQHES { + + public void eval() { + for (int i = 0; i < this.NVAR * this.NVAR; i++) { + this.HX[i] = 0.0; + } + + double sum21 = 0.0, sum22 = 0.0, sum43 = 0.0, sum44 = 0.0, sum65 = 0.0, sum66 = 0.0; + + for (int i = 0; i < this.NRES; i++){ + sum21 = sum21 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[1] * this.RUSER[i])); + sum22 = sum22 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[0] * Math.exp(-this.X[1] * this.RUSER[i])); + sum43 = sum43 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[3] * this.RUSER[i])); + sum44 = sum44 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[2] * Math.exp(-this.X[3] * this.RUSER[i])); + sum65 = sum65 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[5] * this.RUSER[i])); + sum66 = sum66 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[4] * Math.exp(-this.X[5] * this.RUSER[i])); + } + + this.HX[(2-1) + (1-1) * this.NVAR] = sum21; + this.HX[(1-1) + (2-1) * this.NVAR] = this.HX[(2-1) + (1-1) * this.NVAR]; + this.HX[(2-1) + (2-1) * this.NVAR] = sum22; + this.HX[(4-1) + (3-1) * this.NVAR] = sum43; + this.HX[(3-1) + (4-1) * this.NVAR] = this.HX[(4-1) + (3-1) * this.NVAR]; + this.HX[(4-1) + (4-1) * this.NVAR] = sum44; + this.HX[(6-1) + (5-1) * this.NVAR] = sum65; + this.HX[(5-1) + (6-1) * this.NVAR] = this.HX[(6-1) + (5-1) * this.NVAR]; + this.HX[(6-1) + (6-1) * this.NVAR] = sum66; + + this.INFORM = 0; + } + } + + public static class MONIT extends E04GG.Abstract_E04GG_MONIT { + + public void eval() { + E04FFU e04ffu = new E04FFU(); + e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, + this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ffu.getINFORM(); + } + } + + public static class LSQHPRD extends E04GG.Abstract_E04GG_LSQHPRD { + + public void eval() { + E04GGV e04ggv = new E04GGV(); + e04ggv.eval(this.NVAR, this.X, this.Y, this.NRES, this.HXY, + this.INFORM, this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ggv.getINFORM(); + } + } + +} diff --git a/simple_examples/E04MTJE.java b/simple_examples/E04MTJE.java new file mode 100644 index 0000000..6272e91 --- /dev/null +++ b/simple_examples/E04MTJE.java @@ -0,0 +1,132 @@ +import com.nag.routines.E04.E04MT; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RF; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RJ; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04ZM; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.Arrays; + +/** + * E04MT example program text. + */ +public class E04MTJE { + + public static void main(String[] args) throws IOException { + + System.out.println(" E04MTJ Example Program Results"); + int m = 7; + int n = 7; + int nnza = 41; + int nnzc = 7; + int nnzu = 2*n + 2*m; + + int[] cindex = {1,2,3,4,5,6,7}; + double[] c = {-0.02,-0.20,-0.20,-0.20,-0.20, 0.04, 0.04}; + int[] irowa = {1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3, + 4,4,4,4,4,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7}; + int[] icola = {1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,4,5,6, + 1,2,3,4,5,1,2,5,1,2,3,4,5,6,1,2,3,4,5,6,7}; + double[] a = {1.00, 1.00, 1.00, 1.00, 1.00, 1.00, 1.00, + 0.15, 0.04, 0.02, 0.04, 0.02, 0.01, 0.03, + 0.03, 0.05, 0.08, 0.02, 0.06, 0.01,0.02, + 0.04, 0.01, 0.02, 0.02,0.02, 0.03, 0.01,0.70, + 0.75, 0.80, 0.75, 0.80, 0.97,0.02, 0.06, 0.08, + 0.12, 0.02, 0.01, 0.97}; + double[] bla = {-0.13,-1.0e20,-1.0e20,-1.0e20,-1.0e20, + -0.0992,-0.003}; + double[] bua = {-0.13,-0.0049,-0.0064,-0.0037,-0.0012, + 1.0e20, 0.002}; + double[] xl = {-0.01,-0.1,-0.01,-0.04,-0.1,-0.01,-0.01}; + double[] xu = {0.01,0.15,0.03,0.02,0.05,1.0e20,1.0e20}; + double[] dArrData = new double[nnza+2*m+3*n+nnzc+nnzu]; + + long handle = 0; + int ifail = 0; + E04RA e04ra = new E04RA(handle,n,ifail); + e04ra.eval(); + + handle = e04ra.getHANDLE(); + + int[] icolh = new int[1]; + int[] irowh = new int[1]; + double[] h = new double[1]; + E04RF e04rf = new E04RF(handle,nnzc,cindex,c,0,irowh,icolh,h,ifail); + e04rf.eval(); + handle = e04ra.getHANDLE(); + + E04RH e04rh = new E04RH(handle,n,xl,xu,ifail); + e04rh.eval(); + handle = e04rh.getHANDLE(); + + int idlc = 0; + E04RJ e04rj = new E04RJ(handle,m,bla,bua,nnza,irowa,icola,a,idlc,ifail); + e04rj.eval(); + handle = e04rj.getHANDLE(); + + E04ZM e04zm = new E04ZM(handle,"LPIPM Monitor Frequency = 1",ifail); + e04zm.eval(); + e04zm.setOPTSTR("LPIPM Stop Tolerance = 1.0e-10"); + e04zm.eval(); + e04zm.setOPTSTR("Print Solution = YES"); + e04zm.eval(); + e04zm.setOPTSTR("Print Options = NO"); + e04zm.eval(); + e04zm.setOPTSTR("LPIPM Centrality Correctors = -6"); + e04zm.eval(); + handle = e04zm.getHANDLE(); + + long cpuser = 2; + int[] iuser = {1}; + double[] ruser = new double[1]; + ifail = -1; + MONIT monit = new MONIT(); + double[] x = new double[n], u = new double[nnzu]; + double[] rinfo = new double[100], stats = new double[100]; + System.out.println(); + System.out.println("++++++++++ Use the Primal-Dual algorithm ++++++++++"); + E04MT e04mt = new E04MT(handle,n,x,nnzu,u,rinfo,stats, + monit,iuser,ruser,cpuser,ifail); + e04mt.eval(); + System.out.println(); + System.out.println("++++++++++ Use the Self-Dual algorithm ++++++++++"); + e04zm.setOPTSTR("LPIPM Algorithm = Self-Dual"); + e04zm.eval(); + e04zm.setOPTSTR("LPIPM Stop Tolerance 2 = 1.0e-11"); + e04zm.eval(); + iuser[0] = 2; + e04mt.setIFAIL(-1); + e04mt.setHANDLE(e04zm.getHANDLE()); + e04mt.setIUSER(iuser); + e04mt.eval(); + + } + + public static class MONIT extends E04MT.Abstract_E04MT_MONIT { + + public void eval() { + + double tol = 1.2e-8; + + if (IUSER[0] == 1) { + if ((RINFO[4] < tol) && (RINFO[5] < tol) && (RINFO[6] < tol)) { + System.out.println("Iteration " + Integer.toString((int)STATS[0])); + System.out.printf(" monit() reports good approximate solution (tol = %5.2E):\n", tol); + } + } + else { + if ((RINFO[14] < tol) && (RINFO[15] < tol) && (RINFO[16] < tol) && (RINFO[17] < tol)) { + System.out.println("Iteration " + Integer.toString((int)STATS[0])); + System.out.printf(" monit() reports good approximate solution (tol = %5.2E):\n", tol); + } + } + + } + + } + +} diff --git a/simple_examples/E04MXJE.java b/simple_examples/E04MXJE.java new file mode 100644 index 0000000..642a933 --- /dev/null +++ b/simple_examples/E04MXJE.java @@ -0,0 +1,292 @@ +import com.nag.routines.E04.E04MX; +import com.nag.routines.E04.E04NP; +import com.nag.routines.E04.E04NQ; +import com.nag.routines.E04.E04NS; +import com.nag.routines.E04.E04NT; +import com.nag.routines.X04.X04AC; +import com.nag.routines.X04.X04AD; +import java.util.Arrays; + +/** + * E04MX example program text. + */ +public class E04MXJE { + + public static void main(String[] args) { + + /* Parameters */ + int lencw = 600, leniw = 600, lenrw = 600, mpslst = 1, nin = 7, nout = 6; + boolean readints = false; + String fname = args[0]; + /* Local Scalars */ + double obj, objadd, sinf; + int i, ifail, iobj, lenc, lintvar, m, maxlintvar, maxm, maxn, maxncolh, + maxnnz, maxnnzh, minmax, mode, n, ncolh, ninf, nname, nnz, nnzh, ns; + boolean verboseOutput; + String start; + /* Local Arrays */ + double[] a, bl, bu, c, h, pi, rc, ruser, rw, x; + int[] helast, hs, iccola, iccolh, intvar, irowa, irowh, iuser, iw; + String[] crname, cw; + String[] cuser = new String[1], pnames = new String[5]; + cuser[0] = " "; + for (int j = 0; j < 5; j++) { + pnames[j] = " "; + } + + System.out.println(" E04MXJ Example Program Results"); + + // Initialize + for (int j = 0; j < 5; j++) { + pnames[j] = " "; + } + maxm = 0; + maxn = 0; + maxnnz = 0; + maxnnzh = 0; + maxncolh = 0; + maxlintvar = 0; + + // Open the data file for reading + X04AC x04ac = new X04AC(); + mode = 0; + ifail = 0; + x04ac.eval(nin, fname, mode, ifail); + + // Prep call to E04MX in query mode + E04MX e04mx = new E04MX(); + a = new double[1]; + irowa = new int[1]; + iccola = new int[1]; + bl = new double[1]; + bu = new double[1]; + crname = new String[]{" "}; + h = new double[1]; + irowh = new int[1]; + iccolh = new int[1]; + intvar = new int[1]; + ifail = 0; + + // Placeholders for output only scalars + n = 0; + m = 0; + nnz = 0; + ncolh = 0; + nnzh = 0; + lintvar = 0; + iobj = 0; + nname = 0; + minmax = 0; + + // Make call to E04MX + e04mx.eval(nin, maxn, maxm, maxnnz, maxncolh, maxnnzh, maxlintvar, + mpslst, n, m, nnz, ncolh, nnzh, lintvar, iobj, a, irowa, + iccola, bl, bu, pnames, nname, crname, h, irowh, iccolh, + minmax, intvar, ifail); + + // Get output scalar values + n = e04mx.getN(); + m = e04mx.getM(); + nnz = e04mx.getNNZ(); + ncolh = e04mx.getNCOLH(); + nnzh = e04mx.getNNZH(); + lintvar = e04mx.getLINTVAR(); + iobj = e04mx.getIOBJ(); + nname = e04mx.getNNAME(); + minmax = e04mx.getMINMAX(); + ifail = e04mx.getIFAIL(); + + // Close file + X04AD x04ad = new X04AD(); + ifail = 0; + x04ad.eval(nin, ifail); + + // Set maxm, maxn and maxnnz + maxm = m; + maxn = n; + maxnnz = nnz; + maxnnzh = nnzh; + maxncolh = ncolh; + maxlintvar = (readints) ? lintvar : 1; + + // Allocate memory + irowa = new int[maxnnz]; + iccola = new int[maxn + 1]; + a = new double[maxnnz]; + bl = new double[maxn + maxm]; + bu = new double[maxn + maxm]; + crname = new String[maxn + maxm]; + for (int j = 0; j < (maxn + maxm); j++) { + crname[j] = " "; + } + irowh = new int[maxnnzh]; + iccolh = new int[maxncolh + 1]; + h = new double[maxnnzh]; + intvar = new int[maxlintvar]; + + // Open the data file for reading + mode = 0; + ifail = 0; + x04ac.eval(nin, fname, mode, ifail); + + // Call E04MX to read the problem + ifail = 0; + e04mx.eval(nin, maxn, maxm, maxnnz, maxncolh, maxnnzh, maxlintvar, + mpslst, n, m, nnz, ncolh, nnzh, lintvar, iobj, a, irowa, + iccola, bl, bu, pnames, nname, crname, h, irowh, iccolh, + minmax, intvar, ifail); + n = e04mx.getN(); + m = e04mx.getM(); + nnz = e04mx.getNNZ(); + ncolh = e04mx.getNCOLH(); + nnzh = e04mx.getNNZH(); + lintvar = e04mx.getLINTVAR(); + iobj = e04mx.getIOBJ(); + nname = e04mx.getNNAME(); + minmax = e04mx.getMINMAX(); + ifail = e04mx.getIFAIL(); + + // Close the data file + ifail = 0; + x04ad.eval(nin, ifail); + + /* Data has been read. Set up and run the solver */ + + iw = new int[leniw]; + rw = new double[lenrw]; + cw = new String[lencw]; + for (int j = 0; j < lencw; j++) { + cw[j] = " "; + } + + // Call E04NP to initialize workspace + E04NP e04np = new E04NP(); + ifail = 0; + e04np.eval(cw, lencw, iw, leniw, rw, lenrw, ifail); + + // Call option setter E04NS to change the direction of optimization. + // Minimization is assumed by default. + E04NS e04ns = new E04NS(); + if (minmax == 1) { + ifail = 0; + e04ns.eval("Maximize", cw, iw, rw, ifail); + } + else if (minmax == 0) { + ifail = 0; + e04ns.eval("Feasible Point", cw, iw, rw, ifail); + } + + // Set this to TRUE to cause E04NQ to produce intermediate progress output + verboseOutput = false; + + if (verboseOutput) { + // By default E04NQ does not print monitoring information. Set the print + // file unit or the summary file unit to get information. + E04NT e04nt = new E04NT(); + ifail = 0; + e04nt.eval("Print file", nout, cw, iw, rw, ifail); + } + else { + System.out.printf(" \n Problem contains %3d variables and %3d linear constraints\n", n, m); + } + + // We have no explicit objective vector so set LENC = 0; the objective vector + // is stored in row IOBJ of ACOL. + lenc = 0; + objadd = 0.0; + start = "C"; + + c = new double[Math.max(1, lenc)]; + helast = new int[n + m]; + x = new double[n + m]; + pi = new double[m]; + rc = new double[n + m]; + hs = new int[n + m]; + iuser = new int[ncolh + 1 + nnzh]; + ruser = new double[nnzh]; + + if (ncolh > 0) { + // Store the non zeros of H in ruser for use by qphx + for (int j = 0; j < nnzh; j++) { + ruser[j] = h[j]; + } + // Store iccolh and irowh in iuser for use by qphx + for (int j = 0; j < ncolh + 1; j++) { + iuser[j] = iccolh[j]; + } + for (int j = 0; j < nnzh; j++) { + iuser[j + ncolh + 1] = irowh[j]; + } + + } + + // Call E04NQ to solve the problem + E04NQ e04nq = new E04NQ(); + QPHX qphx = new QPHX(); + ns = 0; + ninf = 0; + sinf = 0.0; + obj = 0.0; + ifail = 0; + e04nq.eval(start, qphx, m, n, nnz, nname, lenc, ncolh, iobj, objadd, + pnames[0], a, irowa, iccola, bl, bu, c, crname, helast, hs, + x, pi, rc, ns, ninf, sinf, obj, cw, lencw, iw, leniw, rw, + lenrw,cuser,iuser,ruser,ifail); + ns = e04nq.getNS(); + ninf = e04nq.getNINF(); + sinf = e04nq.getSINF(); + obj = e04nq.getOBJ(); + ifail = e04nq.getIFAIL(); + + if (!verboseOutput) { + System.out.println(); + System.out.printf(" Final objective value = %11.3E\n", obj); + System.out.printf(" Optimal X = \n"); + System.out.printf(" "); + for (int j = 0; j < n; j++) { + System.out.printf("%9.2f", x[j]); + } + System.out.printf("\n"); + } + + } + + public static class QPHX extends E04NQ.Abstract_E04NQ_QPHX { + + /** + * Subroutine to compute H*x. + * Note: IUSER and RUSER contain the following data: + * RUSER(1:NNZH) = H(1:NNZH) + * IUSER(1:NCOLH+1) = ICCOLH(1:NCOLH+1) + * IUSER(NCOLH+2:NNZH+NCOLH+1) = IROWH(1:NNZH) + */ + public void eval() { + /* Local Scalars */ + int end, icol, idx, irow, start; + + Arrays.fill(HX, 0.0); + + for (icol = 0; icol < this.NCOLH + 1; ++icol) { + + start = this.IUSER[icol] - 1; + end = IUSER[icol+1] - 2; + + for (idx = start; idx < end + 1; ++idx) { + + irow = this.IUSER[this.NCOLH + 1 + idx] - 1; + this.HX[irow] += this.X[icol] * this.RUSER[idx]; + + if (irow != icol) { + this.HX[icol] += this.X[irow] * this.RUSER[idx]; + } + + } + + } + + } + + } + + +} diff --git a/simple_examples/E04NCJE.java b/simple_examples/E04NCJE.java new file mode 100644 index 0000000..d6c3010 --- /dev/null +++ b/simple_examples/E04NCJE.java @@ -0,0 +1,246 @@ +import static java.lang.Math.max; + +import com.nag.routines.E04.E04NC; +import com.nag.routines.E04.E04WB; +import com.nag.routines.F06.DGEMV; +import java.io.BufferedReader; +import java.io.FileReader; +import java.text.NumberFormat; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * E04NC example program text. + * @author ludovic + */ +public class E04NCJE { + + public static void main(String[] args) { + + double one = 1.0; + double zero = 0.0; + int inc1 = 1, lcwsav = 1, liwsav = 610, + llwsav = 120, lrwsav = 475, nin = 5, + nout = 6; + double obj; + int i, ifail, iter, lda, ldc, liwork, + lwork, m, n, nclin, sdc; + double[] a, b, bl, bu, c, + clamda, cvec, work, x; + double[] rwsav = new double[lrwsav]; + int[] istate, iwork, kx; + int[] iwsav = new int[liwsav]; + boolean[] lwsav = new boolean[llwsav]; + String[] cwsav = new String[lcwsav]; + + System.out.println(" E04NCJ Example Program Results"); + try { + + BufferedReader br = new BufferedReader(new FileReader(args[0])); + String line = br.readLine(); // read the header + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + String[] data = line.split("\\s+"); + m = Integer.parseInt(data[0]); + n = Integer.parseInt(data[1]); + nclin = Integer.parseInt(data[2]); + + liwork = n; + ldc = max(1,nclin); + lda = max(1,m); + + if (nclin > 0) { + sdc = n; + } + else { + sdc = 1; + } + + /* This particular example problem is of type LS1, so we allocate + * A(LDA,N), CVEC(1), B(M) and define LWORK as below + */ + if (nclin > 0) { + lwork = 2*n*n + 9*n + 6*nclin; + } + else { + lwork = 9*n; + } + + /* + * 2Ds arrays (size [n,m]) are stored in 1D arrays of size n*m, ordered by column + * ie: + * 1 1 1 + * 2 2 2 + * 3 3 3 + * + * is stored [1,2,3,1,2,3,1,2,3] + */ + istate = new int[n+nclin]; + kx = new int[n]; + iwork = new int[liwork]; + c = new double[ldc*sdc]; + bl = new double[n+nclin]; + bu = new double[n+nclin]; + cvec = new double[1]; + x = new double[n]; + a = new double[lda * n]; + b = new double[m]; + clamda = new double[n+nclin]; + work = new double[lwork]; + + /* + * Extra arrays to initialize: + */ + for (int ii = 0; ii < cwsav.length; ++ii) { + // 80 characters long... + cwsav[ii] + = " "; + } + + for (int ii = 0; ii < lda; ++ii) { + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int jj = 0; jj < n; ++jj) { + a[lda*jj+ii] = Double.parseDouble(data[jj]); + } + } + + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + + for (int ii = 0; ii < m; ++ii) { + b[ii] = Double.parseDouble(data[ii]); + } + + for (int ii = 0; ii < ldc; ++ii) { + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int jj = 0; jj < sdc; ++jj) { + c[ldc*jj+ii] = Double.parseDouble(data[jj]); + } + } + + //bl and bu to complicated to read properly -> hardcoded + line = br.readLine(); + line = br.readLine(); + bl[0] = 0.0; + bl[1] = 0.0; + bl[2] = -1.0E+25; + bl[3] = 0.0; + bl[4] = 0.0; + bl[5] = 0.0; + bl[6] = 0.0; + bl[7] = 0.0; + bl[8] = 0.0; + bl[9] = 2.0; + bl[10] = -1.0E+25; + bl[11] = 1.0; + + line = br.readLine(); + line = br.readLine(); + bu[0] = 2.0; + bu[1] = 2.0; + bu[2] = 2.0; + bu[3] = 2.0; + bu[4] = 2.0; + bu[5] = 2.0; + bu[6] = 2.0; + bu[7] = 2.0; + bu[8] = 2.0; + bu[9] = 1.0E+25; + bu[10] = 2.0; + bu[11] = 4.0; + + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int ii = 0; ii < n; ++ii) { + x[ii] = Double.parseDouble(data[ii]); + } + + // CALL TO E04WBF + ifail = 0; + String routname = "E04NCA"; + E04WB e04wb = new E04WB(routname, cwsav, lcwsav, lwsav, llwsav, iwsav, liwsav, rwsav, + lrwsav, ifail); + e04wb.eval(); + cwsav = e04wb.getCWSAV(); + iwsav = e04wb.getIWSAV(); + lwsav = e04wb.getLWSAV(); + rwsav = e04wb.getRWSAV(); + + // CALL TO E04NCF + ifail = -1; + + /* Java needs these to be initialized, so set it to an impossible value + * to trap possible error later */ + iter = Integer.MIN_VALUE; + obj = Double.NaN; + + E04NC e04nc = new E04NC(m,n,nclin,ldc,lda,c,bl,bu,cvec,istate,kx,x,a,b,iter,obj, + clamda,iwork,liwork,work,lwork,lwsav,iwsav,rwsav,ifail); + e04nc.eval(); + + // Getting ifail's value back + ifail = e04nc.getIFAIL(); + + switch (ifail) { + case 0: + case 1: + case 2: + case 3: + case 4: + case 5: + case 7: + System.out.println("\n Varbl Istate Value Lagr Mult\n"); + + for (i = 0; i < n; ++i) { + System.out.printf(" V %3d %3d %14.3E %12.3E\n",(i+1), istate[i],x[i], clamda[i]); + } + + if (nclin > 0) { + DGEMV dgemv = new DGEMV(); + dgemv.eval("N",nclin,n,one,c,ldc,x,inc1,zero,work,inc1); + System.out.println("\n\n L Con Istate Value Lagr Mult\n"); + for (int ii = 0; ii < nclin; ++ii) { + System.out.printf(" L %3d %3d %14.3E %12.3E\n", + ii+1,istate[ii+n],work[ii],clamda[ii+n]); + } + } + + System.out.printf("\n\n Final objective value = %15.3E\n",e04nc.getOBJ()); + break; + default: + if (ifail > 7) { + System.out.println(" Varbl Istate Value Lagr Mult"); + for (i = 0; i < n; ++i) { + System.out.printf(" V %3d %3d %14.3E %12.3E)\n",(i+1), istate[i],x[i], clamda[i]); + } + + if (nclin > 0) { + DGEMV dgemv = new DGEMV(); + dgemv.eval("N",nclin,n,one,c,ldc,x,inc1,zero,work,inc1); + System.out.println(" L Con Istate Value Lagr Mult"); + for (int ii = 0; ii < nclin; ++ii) { + System.out.printf(" L %3d %3d %14.3E %12.3E\n", + ii+1,istate[ii+n],work[ii],clamda[ii+n]); + } + } + + System.out.printf("Final objective value is: %15.7f\n",e04nc.getOBJ()); + } + else { + System.out.println("E04NC returned with IFAIL = "+e04nc.getIFAIL()); + } + } + } + catch (Exception ex) { + Logger.getLogger(E04NCJE.class.getName()).log(Level.SEVERE, null, ex); + } + + } + +} diff --git a/simple_examples/E04NFJE.java b/simple_examples/E04NFJE.java new file mode 100644 index 0000000..e341f9f --- /dev/null +++ b/simple_examples/E04NFJE.java @@ -0,0 +1,234 @@ +import com.nag.routines.E04.E04NF; +import com.nag.routines.E04.E04NH; +import com.nag.routines.E04.E04WB; +import com.nag.routines.E04.E54NFU; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.text.NumberFormat; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * E04NF example program text. + */ +public class E04NFJE { + + public static void main(String[] args) { + + /* Local Scalars */ + double obj; + int i, ifail, iter, lda, ldh, liwork, lwork, n, nclin, sda; + /* Local Arrays */ + double[] a, ax, bl, bu, clamda, cvec, h, work, x; + int[] istate, iwork; + + try { + + System.out.println(" E04NFJ Example Program Results"); + + if (args.length == 0) { + System.err.println("You need to provide the path to the data file e04nfae.d"); + System.exit(-1); + } + + // Read data from file + DataFile datafile = new DataFile(args[0]); + datafile.read(); + + liwork = 2 * datafile.n + 3; + lda = Math.max(1, datafile.nclin); + + sda = (datafile.nclin > 0) ? datafile.n : 1; + + // This particular example problem is of type QP2 with H stored explicitly, + // so we allocate CVEC(N) and H(LDH,N), and define LDH and LWORK as below + ldh = datafile.n; + + if (datafile.nclin > 0) { + lwork = 2 * datafile.n * datafile.n + 8 * datafile.n + 5 * datafile.nclin; + } + else { + lwork = datafile.n * datafile.n + 8 * datafile.n; + } + + istate = new int[datafile.n + datafile.nclin]; + ax = new double[Math.max(1, datafile.nclin)]; + iwork = new int[liwork]; + // h, bl, bu, cvec, x, a: already read from data file + clamda = new double[datafile.n + datafile.nclin]; + work = new double[lwork]; + + // Init routine + E04WB e04wb = new E04WB(); + int lcwsav = 1, liwsav = 610, llwsav = 120, lrwsav = 475; + String[] cwsav = new String[lcwsav]; + cwsav[0] + = " "; + int[] iwsav = new int[liwsav]; + boolean[] lwsav = new boolean[llwsav]; + double[] rwsav = new double[lrwsav]; + ifail = 0; + e04wb.eval("E04NFA", cwsav, lcwsav, lwsav, llwsav, iwsav, liwsav, rwsav, lrwsav, ifail); + + // Set print level to match E04NFF example output + E04NH e04nh = new E04NH(); + int inform = 0; + e04nh.eval("Print Level = 10", lwsav, iwsav, rwsav, inform); + + // Solve the problem + E04NF e04nf = new E04NF(); + double[] ruser = new double[1]; + int[] iuser = new int[1]; + iter = 0; + obj = Double.NaN; + ifail = 0; + e04nf.eval(datafile.n, datafile.nclin, datafile.a, datafile.lda, datafile.bl, + datafile.bu, datafile.cvec, datafile.h, datafile.ldh, new QPHESS(), istate, + datafile.x, iter, obj, ax, clamda, iwork, liwork, work, lwork, + iuser, ruser, lwsav, iwsav, rwsav, ifail); + + ifail = e04nf.getIFAIL(); + + } + catch (Exception ex) { + Logger.getLogger(E04NFJE.class.getName()).log(Level.SEVERE, null, ex); + } + + } + + /** Using E54NFU as a default. */ + public static class QPHESS extends E54NFU implements E04NF.E04NF_QPHESS { + + public void eval() { + super.eval(); + } + + } + + public static class DataFile { + + public String filename; + public int n, nclin, lda, sda, ldh; + public double[] cvec, a, bl, bu, x, h; + + public DataFile(String filename) { + this.filename = filename; + } + + public void read() throws FileNotFoundException, IOException { + BufferedReader dataIn = new BufferedReader(new FileReader(filename)); + String line = dataIn.readLine(); // skipping header + line = dataIn.readLine().trim(); + String[] lines = line.split(":");//removing comments + String[] dataLine = lines[0].split("\\s+"); + if (dataLine.length != 2) { + System.err.println("Something went wrong when reading the data file" + + " - can't read n and nclin!"); + System.exit(1); + } + n = Integer.parseInt(dataLine[0]); + nclin = Integer.parseInt(dataLine[1]); + + lda = Math.max(1, nclin); + + if (nclin > 0) { + sda = n; + } + else { + sda = 1; + } + ldh = n; + + cvec = new double[n]; + a = new double[lda * sda]; + bl = new double[n + nclin]; + bu = new double[n + nclin]; + x = new double[n]; + h = new double[ldh * n]; + + //reading cvec + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for cvec"); + System.exit(1); + } + + for (int i = 0; i < n; ++i) { + cvec[i] = Double.parseDouble(dataLine[i].trim().replaceAll("D", "E")); + } + + //reading a + for (int i = 0; i < lda; ++i) { + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != sda) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for a"); + System.exit(1); + } + for (int j = 0; j < sda; ++j) { + a[i + j * lda] = Double.parseDouble(dataLine[j].trim().replaceAll("D", "E")); + } + } + + //reading bl + //it's on two lines in the data file, so we need to merge them + line = dataIn.readLine().trim().split(":")[0].trim() + " " + + dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n + nclin) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for bl"); + System.exit(1); + } + for (int i = 0; i < n + nclin; ++i) { + bl[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + //reading bu + //it's on two lines in the data file, so we need to merge them + line = dataIn.readLine().trim().split(":")[0].trim() + " " + + dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n + nclin) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for bu"); + System.exit(1); + } + for (int i = 0; i < n + nclin; ++i) { + bu[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for x"); + System.exit(1); + } + for (int i = 0; i < n; ++i) { + x[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + for (int i = 0; i < ldh; ++i) { + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for h at line " + i); + System.exit(1); + } + for (int j = 0; j < n; ++j) { + h[i + j * ldh] = Double.parseDouble(dataLine[j].replaceAll("D", "E")); + } + } + + + } + } + +} diff --git a/simple_examples/E04NKJE.java b/simple_examples/E04NKJE.java new file mode 100644 index 0000000..604ee66 --- /dev/null +++ b/simple_examples/E04NKJE.java @@ -0,0 +1,295 @@ +import com.nag.routines.E04.E04NK; +import com.nag.routines.E04.E04WB; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * E04NKJ Example Program Text + * @author willa + * @since 27.1.0.0 + */ +public class E04NKJE{ + private static int lcwsav = 1; + private static int liwsav = 380; + private static int llwsav = 20; + private static int lrwsav = 285; + + /** + * E04NKJ Example main program. + */ + public static void main(String[] args){ + double obj, sinf; + int icol, ifail, iobj, jcol, leniz, lenz, m, miniz, minz, n, ncolh, ninf, nname, nnz, ns, i; + String start; + double[] a, bl, bu, clamda, xs, z, ruser, rwsav; + int[] ha, istate, iz, ka, iuser, iwsav; + boolean[] lwsav; + String[] crname, cwsav, names; + + System.out.println("E04NKJ Example Program Results"); + + ruser = new double[1]; + rwsav = new double[lrwsav]; + iuser = new int[1]; + iwsav = new int[liwsav]; + + cwsav = new String[lcwsav]; + //equivalent to ```Character (80) :: cwsav(lcwsav)``` + for(i = 0; i < lcwsav; i++){ + char[] chars = new char[80]; + Arrays.fill(chars, ' '); + cwsav[i] = new String(chars); + } + names = new String[5]; + //names all blank anyway this time + for(i = 0; i < 5; i++){ + char[] chars = new char[8]; + Arrays.fill(chars, ' '); + names[i] = new String(chars); + } + + //dummy arrays + crname = new String[0]; + + n = 7; + m = 8; + nnz = 48; + iobj = 8; + ncolh = 7; + start = "C"; + nname = 15; + + ha = new int[nnz]; + ka = new int[n + 1]; + istate = new int[n + m]; + a = new double[nnz]; + bl = new double[n + m]; + bu = new double[n + m]; + xs = new double[n + m]; + clamda = new double[n + m]; + crname = new String[nname]; + lwsav = new boolean[llwsav]; + + names[0] = " "; + names[1] = " "; + names[2] = " "; + names[3] = " "; + names[4] = " "; + + crname[0] = "...X1..."; + crname[1] = "...X2..."; + crname[2] = "...X3..."; + crname[3] = "...X4..."; + crname[4] = "...X5..."; + crname[5] = "...X6..."; + crname[6] = "...X7..."; + crname[7] = "..ROW1.."; + crname[8] = "..ROW2.."; + crname[9] = "..ROW3.."; + crname[10] = "..ROW4.."; + crname[11] = "..ROW5.."; + crname[12] = "..ROW6.."; + crname[13] = "..ROW7.."; + crname[14] = "..COST.."; + + //Matrix A. Set up KA + jcol = 1; + ka[0] = 1; + + a[0] = 0.02; ha[0] = 7; + a[1] = 0.02; ha[1] = 5; + a[2] = 0.03; ha[2] = 3; + a[3] = 1.00; ha[3] = 1; + a[4] = 0.70; ha[4] = 6; + a[5] = 0.02; ha[5] = 4; + a[6] = 0.15; ha[6] = 2; + a[7] = -200.00; ha[7] = 8; + a[8] = 0.06; ha[8] = 7; + a[9] = 0.75; ha[9] = 6; + a[10] = 0.03; ha[10] = 5; + a[11] = 0.04; ha[11] = 4; + a[12] = 0.05; ha[12] = 3; + a[13] = 0.04; ha[13] = 2; + a[14] = 1.00; ha[14] = 1; + a[15] = -2000.00; ha[15] = 8; + a[16] = 0.02; ha[16] = 2; + a[17] = 1.00; ha[17] = 1; + a[18] = 0.01; ha[18] = 4; + a[19] = 0.08; ha[19] = 3; + a[20] = 0.08; ha[20] = 7; + a[21] = 0.80; ha[21] = 6; + a[22] = -2000.00; ha[22] = 8; + a[23] = 1.00; ha[23] = 1; + a[24] = 0.12; ha[24] = 7; + a[25] = 0.02; ha[25] = 3; + a[26] = 0.02; ha[26] = 4; + a[27] = 0.75; ha[27] = 6; + a[28] = 0.04; ha[28] = 2; + a[29] = -2000.00; ha[29] = 8; + a[30] = 0.01; ha[30] = 5; + a[31] = 0.80; ha[31] = 6; + a[32] = 0.02; ha[32] = 7; + a[33] = 1.00; ha[33] = 1; + a[34] = 0.02; ha[34] = 2; + a[35] = 0.06; ha[35] = 3; + a[36] = 0.02; ha[36] = 4; + a[37] = -2000.00; ha[37] = 8; + a[38] = 1.00; ha[38] = 1; + a[39] = 0.01; ha[39] = 2; + a[40] = 0.01; ha[40] = 3; + a[41] = 0.97; ha[41] = 6; + a[42] = 0.01; ha[42] = 7; + a[43] = 400.00; ha[43] = 8; + a[44] = 0.97; ha[44] = 7; + a[45] = 0.03; ha[45] = 2; + a[46] = 1.00; ha[46] = 1; + a[47] = 400.00; ha[47] = 8; + + ka[1] = 9; + ka[2] = 17; + ka[3] = 24; + ka[4] = 31; + ka[5] = 39; + ka[6] = 45; + ka[7] = 49; + + bl[0] = 0.0; + bl[1] = 0.0; + bl[2] = 4.0e2; + bl[3] = 1.0e2; + bl[4] = 0.0; + bl[5] = 0.0; + bl[6] = 0.0; + bl[7] = 2.0e3; + bl[8] = -1.0e25; + bl[9] = -1.0e25; + bl[10] = -1.0e25; + bl[11] = -1.0e25; + bl[12] = 1.5e3; + bl[13] = 2.5e2; + bl[14] = -1.0e25; + + bu[0] = 2.0e2; + bu[1] = 2.5e3; + bu[2] = 8.0e2; + bu[3] = 7.0e2; + bu[4] = 1.5e3; + bu[5] = 1.0e25; + bu[6] = 1.0e25; + bu[7] = 2.0e3; + bu[8] = 6.0e1; + bu[9] = 1.0e2; + bu[10] = 4.0e1; + bu[11] = 3.0e1; + bu[12] = 1.0e25; + bu[13] = 3.0e2; + bu[14] = 1.0e25; + + istate[0] = 0; + istate[1] = 0; + istate[2] = 0; + istate[3] = 0; + istate[4] = 0; + istate[5] = 0; + istate[6] = 0; + istate[7] = 0; + + xs[0] = 0.0; + xs[1] = 0.0; + xs[2] = 0.0; + xs[3] = 0.0; + xs[4] = 0.0; + xs[5] = 0.0; + xs[6] = 0.0; + xs[7] = 0.0; + + ifail = 0; + E04WB e04wb = new E04WB("E04NKA",cwsav,lcwsav,lwsav,llwsav,iwsav,liwsav,rwsav, + lrwsav,ifail); + e04wb.eval(); + + leniz = 1; + lenz = 1; + iz = new int[leniz]; + z = new double[lenz]; + + QPHX qphx = new QPHX(); + + ifail = 1; + + //placeholders + ns = 0; + miniz = 0; + minz = 0; + ninf = 0; + sinf = 0.0; + obj = 0.0; + + E04NK e04nk = new E04NK(n,m,nnz,iobj,ncolh,qphx,a,ha,ka,bl,bu,start,names,nname, + crname,ns,xs,istate,miniz,minz,ninf,sinf,obj,clamda,iz, + leniz,z,lenz,iuser,ruser,lwsav,iwsav,rwsav,ifail); + e04nk.eval(); + ifail = e04nk.getIFAIL(); + + minz = e04nk.getMINZ(); + miniz = e04nk.getMINIZ(); + + lenz = minz; + leniz = miniz; + + iz = new int[leniz]; + z = new double[lenz]; + + ifail = -1; + + e04nk.eval(n,m,nnz,iobj,ncolh,qphx,a,ha,ka,bl,bu,start,names,nname,crname,ns,xs, + istate,miniz,minz,ninf,sinf,obj,clamda,iz,leniz,z,lenz,iuser,ruser, + lwsav,iwsav,rwsav,ifail); + + //update + ifail = e04nk.getIFAIL(); + obj = e04nk.getOBJ(); + + if(ifail == 0){ + System.out.println(); + System.out.println("\tVariable Istate Value Lagr Mult"); + System.out.println(); + + for(i = 0; i < n; i++){ + System.out.printf("\t%s\t%d\t%.6g\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); + } + + if(m > 0){ + System.out.println(); + System.out.println(); + System.out.println("\tConstrnt Istate Value\t\t Lagr Mult"); + System.out.println(); + + for(i = n; i < n + m - 1; i++){ + System.out.printf("\t%s\t%d\t%.6g\t\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); + } + System.out.printf("\t%s\t%d\t%.6g\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); + } + + System.out.println(); + System.out.println(); + System.out.printf("Final objetive value = %15.7g\n", obj); + } + + } + + public static class QPHX extends E04NK.Abstract_E04NK_QPHX{ + public void eval(){ + this.HX[0] = 2 * this.X[0]; + this.HX[1] = 2 * this.X[1]; + this.HX[2] = 2 * (this.X[2] + this.X[3]); + this.HX[3] = this.HX[2]; + this.HX[4] = 2 * this.X[4]; + this.HX[5] = 2 * (this.X[5] + this.X[6]); + this.HX[6] = this.HX[5]; + } + } +} diff --git a/simple_examples/E04NQJE.java b/simple_examples/E04NQJE.java new file mode 100644 index 0000000..6cf84fe --- /dev/null +++ b/simple_examples/E04NQJE.java @@ -0,0 +1,384 @@ +import com.nag.routines.E04.E04NP; +import com.nag.routines.E04.E04NQ; +import com.nag.routines.E04.E04NT; +import java.io.BufferedReader; +import java.io.File; +import java.io.FileReader; +import java.io.IOException; +import java.util.Arrays; + +/** + * E04NQ example program text. + */ +public class E04NQJE { + + public static final int LENCW = 600; + public static final int LENIW = 600; + public static final int LENRW = 600; + public static final int NIN = 5; + public static final int NOUT = 6; + + public static void main(String[] args) throws IOException { + + /* Local Scalars */ + double obj, objadd, sinf; + int i, icol, ifail, iobj, jcol, lenc, m, n, ncolh, ne, ninf, nname, ns; + boolean verboseOutput; + String prob; // Length = 8 + String start; // Length = 1 + /* Local Arrays */ + double[] acol, bl, bu, c, pi, rc, x; + double[] ruser = new double[1], rw = new double[LENRW]; + int[] helast, hs, inda, loca; + int[] iuser = new int[1], iw = new int[LENIW]; + String[] cuser = new String[1], cw = new String[LENCW]; // Length = 8 + String[] names; // Length = 8 + /* Init String arrays with same length*/ + Arrays.fill(cuser, " "); + Arrays.fill(cw, " "); + + System.out.println(" E04NQJ Example Program Results"); + + /* Read data file */ + + if (args.length != 1) { + usage(); + } + BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); + String line; + + // Skip heading in data file + line = dataIn.readLine(); + + // Read n, m + line = dataIn.readLine(); + String[] data = line.split(":")[0].trim().split("\\s+"); + if (data.length != 2) { + System.out.println("Data file badly formatted - expected 2 ints separated by blank spaces.\n" + + line + "\n"+Arrays.toString(data)); + System.exit(1); + } + n = Integer.parseInt(data[0]); + m = Integer.parseInt(data[1]); + + // Read ne, iobj, ncolh, start, nname + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + if (data.length != 5) { + System.out.println("Data file badly formatted - expected 5 ints separated by blank spaces"); + System.exit(1); + } + ne = Integer.parseInt(data[0]); + iobj = Integer.parseInt(data[1]); + ncolh = Integer.parseInt(data[2]); + start = data[3].replaceAll("'",""); + nname = Integer.parseInt(data[4]); + + // Allocate + inda = new int[ne]; + loca = new int[n+1]; + helast = new int[n+m]; + hs = new int[n+m]; + acol = new double[ne]; + bl = new double[n+m]; + bu = new double[n+m]; + x = new double[n+m]; + pi = new double[m]; + rc = new double[n+m]; + names = new String[nname]; + + // Read names + line = dataIn.readLine(); // skipping blank line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + int nameIndex = 0; + int dataIndex = 0; + while (nameIndex < nname) { + names[nameIndex] = data[dataIndex].replaceAll("'", ""); + ++nameIndex; + ++dataIndex; + if (nameIndex < nname && dataIndex == data.length) { + //need to read one more line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + dataIndex = 0; + } + } + + // Read matrix + line = dataIn.readLine(); // skipping blank line + int locaIndex = 0; + int currentCol = 0; + for (i = 0; i < ne; ++i) { + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + if (data.length != 3) { + System.out.println("The line is not well formatted for input of A:\n\t"+line); + System.exit(1); + } + acol[i] = Double.parseDouble(data[0].replaceAll("d", "e").replaceAll("D", "e")); + inda[i] = Integer.parseInt(data[1]); + if (i == 0) { + loca[locaIndex] = 1;//storing for Fortran use: 1-based + ++locaIndex; + ++currentCol; + } + else { + int tmp = Integer.parseInt(data[2]); + if (tmp != currentCol) { + loca[locaIndex] = i+1; + ++currentCol; + ++locaIndex; + } + } + } + loca[n] = ne + 1; + + // Read bl + line = dataIn.readLine(); // skipping blank line + int blindex = 0; + dataIndex = 0; + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + while (blindex < bl.length) { + bl[blindex] = Double.parseDouble(data[dataIndex].replaceAll("d", "e").replaceAll("D", "e")); + ++blindex; + ++dataIndex; + if (blindex < bl.length && dataIndex == data.length) { + //need to read one more line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + dataIndex = 0; + } + } + + // Read bu + line = dataIn.readLine(); // skipping blank line + int buindex = 0; + dataIndex = 0; + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + while (buindex < bu.length) { + bu[buindex] = Double.parseDouble(data[dataIndex].replaceAll("d", "e").replaceAll("D", "e")); + ++buindex; + ++dataIndex; + if (buindex < bu.length && dataIndex == data.length) { + //need to read one more line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + dataIndex = 0; + } + } + + // Read hs + line = dataIn.readLine(); // skipping blank line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + if (start.equalsIgnoreCase("C")) { + if (data.length != n) { + System.out.println("Wrong format for HS data.\n"); + System.exit(1); + } + } + else { + if (data.length != n+m) { + System.out.println("Wrong format for HS data.\n"); + System.exit(1); + } + } + for (i = 0; i < data.length; ++i) { + hs[i] = Integer.parseInt(data[i]); + } + + // Read x + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + if (data.length != n) { + System.out.println("Wrong format for X data."); + System.exit(1); + } + for (i = 0; i < data.length; ++i) { + x[i] = Double.parseDouble(data[i].replaceAll("d", "e").replaceAll("D", "e")); + } + + /* Done reading data file */ + + System.out.printf(" \n QP problem contains %3d variables and %3d linear constraints\n", n, m); + + /* Call E04NP to initialize E04NQ. */ + E04NP e04np = new E04NP(); + ifail = 0; + e04np.eval(cw,LENCW,iw,LENIW,rw,LENRW,ifail); + + /* Set this to .True. to cause e04nqf to produce intermediate + * progress output. */ + verboseOutput = true; + + if (verboseOutput) { + /* By default e04nqf does not print monitoring + * information. Set the print file unit or the summary + * file unit to get information. */ + E04NT e04nt = new E04NT(); + ifail = 0; + e04nt.eval("Print file", NOUT, cw, iw, rw, ifail); + } + + /* We have no explicit objective vector so set LENC = 0; the + * objective vector is stored in row IOBJ of ACOL. */ + lenc = 0; + c = new double[Math.max(1,lenc)]; + objadd = 0.0; + sinf = 0.0; + obj = Double.NaN; + prob = " "; + + /* Do not allow any elastic variables (i.e. they cannot be + * infeasible). If we'd set optional argument "Elastic mode" to 0, + * we wouldn't need to set the individual elements of array HELAST. */ + + for (int j = 0; j < (n+m); j++) { + helast[j] = 0; + } + + /* Solve the QP problem. */ + + E04NQ e04nq = new E04NQ(); + ifail = 0; + ns = 0; + ninf = 0; + e04nq.eval(start,new QPHX(ncolh),m,n,ne,nname,lenc,ncolh,iobj,objadd,prob,acol, + inda,loca,bl,bu,c,names,helast,hs,x,pi,rc,ns,ninf,sinf,obj,cw,LENCW, + iw,LENIW,rw,LENRW,cuser,iuser,ruser,ifail); + + System.out.println(); + System.out.printf(" Final objective value = %11.3E\n",e04nq.getOBJ()); + System.out.print(" Optimal X = "); + for (i = 0; i < n; ++i) { + System.out.printf("%9.2f ", x[i]); + } + System.out.println(); + + } + + private static void usage() { + System.out.println("Usage:\n" + + "\tjava -cp " + File.separator + "NAGJava.jar" + File.pathSeparator + + ". E04NQJE " + File.separator + "e04nqfe.d"); + System.exit(1); + } + + public static class QPHX implements E04NQ.E04NQ_QPHX { + + private int NCOLHREF; + + public QPHX(int NCOLHREF) { + this.NCOLHREF = NCOLHREF; + } + + // @Override + public void eval(int NCOLH, double[] X, double[] HX, int NSTATE, + String[] CUSER, int[] IUSER, double[] RUSER) { + + if (NCOLH != NCOLHREF) { + System.out.println("NCOLH value is wrong!"); + System.out.println("TEST FAILED"); + System.exit(1); + } + HX[0] = 2.0*X[0]; + HX[1] = 2.0*X[1]; + HX[2] = 2.0*(X[2]+X[3]); + HX[3] = HX[2]; + HX[4] = 2.0*X[4]; + HX[5] = 2.0*(X[5]+X[6]); + HX[6] = HX[5]; + + } + + private String[] CUSER; + private double[] HX,RUSER,X; + private int[] IUSER; + private int NCOLH, NSTATE; + + // @Override + public String[] getCUSER() { + return CUSER; + } + + // @Override + public double[] getHX() { + return HX; + } + + // @Override + public int[] getIUSER() { + return IUSER; + } + + // @Override + public int getNCOLH() { + return NCOLH; + } + + // @Override + public int getNSTATE() { + return NSTATE; + } + + // @Override + public double[] getRUSER() { + return RUSER; + } + + // @Override + public double[] getX() { + return X; + } + + // @Override + public void setCUSER(String[] arg0) { + CUSER = arg0; + + } + + // @Override + public void setHX(double[] arg0) { + HX = arg0; + + } + + // @Override + public void setIUSER(int[] arg0) { + IUSER = arg0; + + } + + // @Override + public void setNCOLH(int arg0) { + NCOLH = arg0; + + } + + // @Override + public void setNSTATE(int arg0) { + NSTATE = arg0; + + } + + // @Override + public void setRUSER(double[] arg0) { + RUSER = arg0; + + } + + // @Override + public void setX(double[] arg0) { + X = arg0; + + } + + } + + + + +} diff --git a/simple_examples/E04PTJE.java b/simple_examples/E04PTJE.java new file mode 100644 index 0000000..75303ac --- /dev/null +++ b/simple_examples/E04PTJE.java @@ -0,0 +1,344 @@ +import com.nag.routines.E04.E04PT; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RB; +import com.nag.routines.E04.E04RE; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RJ; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.F08.DSYEVD; +import java.util.Arrays; + +/** + * E04PTJ example program text. + * @author joed + * @since 27.0.0.0 + */ +public class E04PTJE { + + + /** + * Monitoring function can be used to monitor the progress + * or, for example, to implement bespoke stopping criteria. + */ + private static class MONIT extends E04PT.Abstract_E04PT_MONIT { + + public void eval() { + + double tol = RUSER[0]; + int tolReached = IUSER[1]; + + // If x is close to the solution, print a message + if ((RINFO[14] < tol) && (RINFO[15] < tol) && (RINFO[16] < tol) && (RINFO[17] < tol)) { + if (tolReached == 0) { + System.out.println(); + System.out.printf("monit() reports good approximate solution (tol = %9.2E)\n", tol); + IUSER[1] = 1; + } + } + + } + + } + + + /** + * E04PTJ example main program. + */ + public static void main(String[] args) { + + DSYEVD dsyevd = new DSYEVD(); + E04PT e04pt = new E04PT(); + E04RA e04ra = new E04RA(); + E04RB e04rb = new E04RB(); + E04RE e04re = new E04RE(); + E04RH e04rh = new E04RH(); + E04RJ e04rj = new E04RJ(); + E04RZ e04rz = new E04RZ(); + E04ZM e04zm = new E04ZM(); + MONIT monit = new MONIT(); + + final int nqc = 1; + long cpuser, handle; + double r1; + int i, idgroup, idlc, idxa, ifail, j, liwork, lwork, m, n, na, nnza, nnzp0, + nnzp1, nnzu, nnzuc, nu, nv, nvarc1, nvarc2, rptr, xIdx; + boolean verboseOutput; + String ctype1, ctype2; // Length must be 8 + double[] a, bla, bua, c, f0, f1, lambda0, lambda1, p0, p1, q0, q1, u, uc, + work, x, xl, xu; + double[] rinfo = new double[100], ruser = new double[1], stats = new double[100]; + int[] icola, icolp0, icolp1, idxc1, idxc2, irowa, irowp0, irowp1, iwork; + int[] iuser = new int[2]; + + System.out.println("E04PTJ Example Program Results\n"); + + // Dimensions of the problem + n = 3; + nnzp0 = 6; + nnzp1 = 6; + + // Initialize size of linear constraints in SOCP + m = nqc; + na = n + nqc + 1; + nnza = nqc + n; + + // Initialize size of cone constraints + nvarc1 = 2; + nvarc2 = 2; + + // Set problem data + lwork = Math.max(2*n*n+6*n+1, 120+9*n); + liwork = 5*n + 3; + irowp0 = new int[]{1, 2, 3, 2, 3, 3}; + icolp0 = new int[]{1, 1, 1, 2, 2, 3}; + p0 = new double[]{0.493, 0.382, 0.270, 0.475, 0.448, 0.515}; + irowp1 = new int[]{1, 2, 3, 2, 3, 3}; + icolp1 = new int[]{1, 1, 1, 2, 2, 3}; + p1 = new double[]{0.737, 0.453, 1.002, 0.316, 0.635, 1.590}; + q0 = new double[]{0.847, 0.08, 0.505}; + q1 = new double[]{0.065, 0.428, 0.097}; + r1 = 1.276; + f0 = new double[n*n]; + f1 = new double[n*n]; + lambda0 = new double[n]; + lambda1 = new double[n]; + work = new double[lwork]; + iwork = new int[liwork]; + + // Store full P0 and P1 in F0 and F1 + Arrays.fill(f0, 0.0); + for (i = 0; i < nnzp0; i++) { + f0[getIdx(irowp0[i], icolp0[i], n)] = p0[i]; + } + Arrays.fill(f1, 0.0); + for (i = 0; i < nnzp1; i++) { + f1[getIdx(irowp1[i], icolp1[i], n)] = p1[i]; + } + + // Factorize P0 and P1 via eigenvalue decomposition + ifail = 0; + dsyevd.eval("V", "L", n, f0, n, lambda0, work, lwork, iwork, liwork, ifail); + dsyevd.eval("V", "L", n, f1, n, lambda1, work, lwork, iwork, liwork, ifail); + + // Fomulate F0 and F1 in P0 = F0'*F0, P1 = F1'*F1 + nu = 0; + nv = 0; + for (i = 1; i <= n; i++) { + if (lambda0[i-1] > 0) { + for (j = 1; j <= n; j++) { + f0[getIdx(j,i,n)] *= Math.sqrt(lambda0[i-1]); + } + m++; + nu++; + nnza += n; + } + if (lambda1[i-1] > 0) { + for (j = 1; j <= n; j++) { + f1[getIdx(j,i,n)] *= Math.sqrt(lambda1[i-1]); + } + m++; + nv++; + nnza += n; + } + } + nnza += nu + nv; + na += nu+ nv; + nvarc1 += nu; + nvarc2 += nv; + + // Add two fixed variable for two rotated quadratic cones + na += 2; + m += 2; + nnza += 2; + + // Compute size of multipliers + nnzu = 2*na + 2*m; + nnzuc = nvarc1 + nvarc2; + + // Initialize arrays to build SOCP + icola = new int[nnza]; + irowa = new int[nnza]; + a = new double[nnza]; + bla = new double[m]; + bua = new double[m]; + xl = new double[na]; + xu = new double[na]; + c = new double[na]; + x = new double[na]; + u = new double[nnzu]; + uc = new double[nnzuc]; + idxc1 = new int[nvarc1]; + idxc2 = new int[nvarc2]; + + // Build objective function parameter c + // [x, t1, u, v, y1, y2, t0] + Arrays.fill(c, 0.0); + for (j = 0; j < n; j++) { + c[j] = q0[j]; + } + c[na-1] = 1.0; + + // Build linear constraints parameter A + idxa = 0; + rptr = 0; + // q1 in First row + rptr++; + Arrays.fill(irowa, 0, n, rptr); + for (j = 0; j < n; j++) { + icola[j] = j+1; + a[j] = q1[j]; + } + idxa += n; + + // F0 in F0*x-u=0 row + for (i = 1; i <= n; i++) { + if (lambda0[i-1] > 0) { + rptr += 1; + for (j = 0; j < n; j++) { + irowa[idxa+j] = rptr; + icola[idxa+j] = j+1; + a[idxa+j] = f0[getIdx(j+1,i,n)]; + } + idxa += n; + } + } + // F1 in F1*x-v=0 row + for (i = 1; i <= n; i++) { + if (lambda1[i-1] > 0) { + rptr += 1; + for (j = 0; j < n; j++) { + irowa[idxa+j] = rptr; + icola[idxa+j] = j+1; + a[idxa+j] = f1[getIdx(j+1,i,n)]; + } + idxa += n; + } + } + // Rest of A, a diagonal matrix + for (j = 0; j < m; j++) { + irowa[idxa+j] = j+1; + icola[idxa+j] = n+j+1; + a[idxa+j] = 1.0; + } + for (j = 1; j < (nu+nv+1); j++) { + a[idxa+j] = -1.0; + } + // RHS in linear constraints + Arrays.fill(bla, 0.0); + Arrays.fill(bua, 0.0); + bla[0] = -r1; + bua[0] = -r1; + for (j = (m-nqc); j <= m; j++) { + bla[j-1] = 1.0; + bua[j-1] = 1.0; + } + + // Box constraints, all variables are free + Arrays.fill(xl, -1E+20); + Arrays.fill(xu, 1E+20); + + // Cone constraints + // First cone + idxc1[0] = na; + idxc1[1] = n + 1 + nu + nv + 1; + for (j = 2; j < nvarc1; j++) { + idxc1[j] = n + j; + } + ctype1 = "RQUAD "; + // Second cone + idxc2[0] = n + 1; + idxc2[1] = n + 1 + nu + nv + 2; + for (j = 2; j < nvarc2; j++) { + idxc2[j] = n + nu + j; + } + ctype2 = "RQUAD "; + + // Create the problem handle + handle = 0; + ifail = 0; + e04ra.eval(handle, na, ifail); + handle = e04ra.getHANDLE(); + + // Set objective function + ifail = 0; + e04re.eval(handle, na, c, ifail); + + // Set box constraints + ifail = 0; + e04rh.eval(handle, na, xl, xu, ifail); + + // Set linear constraints + ifail = 0; + idlc = 0; + e04rj.eval(handle, m, bla, bua, nnza, irowa, icola, a, idlc, ifail); + idlc = e04rj.getIDLC(); + + // Set first cone constraint + ifail = 0; + idgroup = 0; + e04rb.eval(handle, ctype1, nvarc1, idxc1, idgroup, ifail); + idgroup = e04rb.getIDGROUP(); + + // Set first cone constraint + ifail = 0; + idgroup = 0; + e04rb.eval(handle, ctype2, nvarc2, idxc2, idgroup, ifail); + idgroup = e04rb.getIDGROUP(); + + // Turn on monitoring + ifail = 0; + e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); + + /* Set this to true to cause e04pt to produce intermediate + * progress output */ + verboseOutput = false; + + if (verboseOutput) { + // Require printing of primal and dual solutions at the end of the solve + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + } + else { + // Turn off printing of intermediate progress output + ifail = 0; + e04zm.eval(handle, "Print Level = 1", ifail); + } + + // Call SOCP interior point solver + cpuser = 0; + iuser[0] = 0; // unused in this example + iuser[1] = 0; + ruser[0] = 1.0E-7; + ifail = -1; + e04pt.eval(handle, na, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, + ruser, cpuser, ifail); + ifail = e04pt.getIFAIL(); + + // Print solution if optimal or suboptimal solution found + if (ifail == 0 || ifail == 50) { + System.out.println(" Optimal X:"); + System.out.println(" x_idx Value "); + for (xIdx = 1; xIdx <= n; xIdx++) { + System.out.printf(" %5d %11.3E\n", xIdx, x[xIdx-1]); + } + } + + // Free the handle memory + ifail = 0; + e04rz.eval(handle, ifail); + + } + + + /** + * Convert from 2D Fortran index to 1D-column major Java index. + * @param x 1-based row index for a 2D array + * @param y 1-based column index for a 2D array + * @return the corresponding 0-based index for a 1D column-major array + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + +} diff --git a/simple_examples/E04RPJE.java b/simple_examples/E04RPJE.java new file mode 100644 index 0000000..d22d3d1 --- /dev/null +++ b/simple_examples/E04RPJE.java @@ -0,0 +1,199 @@ +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RE; +import com.nag.routines.E04.E04RN; +import com.nag.routines.E04.E04RP; +import com.nag.routines.E04.E04RY; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04SV; + +/** + * E04RPJ Example Program Text + * @author willa + * @since 27.1.0.0 + */ + +public class E04RPJE{ + + /** + * E04RPJ Example main program + */ + public static void main(String[] args){ + int blkidx, dimaq, idblk, idlc, idx, idxend, ifail, inform, midx, nblk, nclin, + nnzasum, nnzb, nnzc, nnzh, nnzqsum, nnzu, nnzua, nnzuc, nq, nvar; + double[] a, b, bl, bu, cvec, h, q, x, rdummy, rinfo, stats; + int[] icola, icolb, icolh, icolq, idxc, irowa, irowb, irowh, irowq, nnza, + nnzq, qi, qj, idummy; + long cpuser, handle; + + rdummy = new double[1]; + rinfo = new double[32]; + stats = new double[32]; + idummy = new int[1]; + + System.out.println("E04RPJ Example Program Results"); + System.out.println(); + + //Problem size + nvar = 5; + nnzh = 0; + nclin = 0; + nnzb = 0; + nblk = 2; + + //Initialize handle to an empty problem + E04RA e04ra = new E04RA(); + handle = 0; + ifail = 0; + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + //Linear part of the objective function + cvec = new double[nvar]; + cvec[0] = 1; + cvec[1] = 0; + cvec[2] = 1; + cvec[3] = 0; + cvec[4] = 0; + + //Add the linear objetive function to the problem formulation + ifail = 0; + E04RE e04re = new E04RE(handle, nvar, cvec, ifail); + e04re.eval(); + + //Matrix inequalities + //block 1 + dimaq = 2; + nnzasum = 9; nnzqsum = 8; + idblk = 0; + + nnza = new int[nvar + 1]; + irowa = new int[nnzasum]; + icola = new int[nnzasum]; + a = new double[nnzasum]; + + nnza[0] = 2; + nnza[1] = 2; + nnza[2] = 3; + nnza[3] = 2; + nnza[4] = 0; + nnza[5] = 0; + + a[0] = 1.0; irowa[0] = 1; icola[0] = 1; + a[1] = 1.0; irowa[1] = 2; icola[1] = 2; + a[2] = 2.0; irowa[2] = 1; icola[2] = 1; + a[3] = -2.0; irowa[3] = 1; icola[3] = 2; + a[4] = 6.0; irowa[4] = 1; icola[4] = 1; + a[5] = 5.0; irowa[5] = 1; icola[5] = 2; + a[6] = -4.0; irowa[6] = 2; icola[6] = 2; + a[7] = 3.0; irowa[7] = 1; icola[7] = 2; + a[8] = 8.0; irowa[8] = 2; icola[8] = 2; + + idblk = 0; + ifail = 0; + //Add the linear matrix inequality to the problem formulation + E04RN e04rn = new E04RN(handle,nvar,dimaq,nnza,nnzasum,irowa,icola,a,1, + idummy,idblk,ifail); + e04rn.eval(); + //update + idblk = e04rn.getIDBLK(); + + nq = 6; + + qi = new int[nq]; + qj = new int[nq]; + nnzq = new int[nq]; + irowq = new int[nnzqsum]; + icolq = new int[nnzqsum]; + q = new double[nnzqsum]; + + qi[0] = 1; qj[0] = 4; + qi[1] = 2; qj[1] = 4; + qi[2] = 3; qj[2] = 4; + qi[3] = 1; qj[3] = 5; + qi[4] = 2; qj[4] = 5; + qi[5] = 3; qj[5] = 5; + + nnzq[0] = 1; + nnzq[1] = 2; + nnzq[2] = 1; + nnzq[3] = 1; + nnzq[4] = 2; + nnzq[5] = 1; + + q[0] = 2.0; irowq[0] = 1; icolq[0] = 1; + q[1] = 2.0; irowq[1] = 1; icolq[1] = 1; + q[2] = 1.0; irowq[2] = 1; icolq[2] = 2; + q[3] = 1.0; irowq[3] = 1; icolq[3] = 2; + q[4] = 1.0; irowq[4] = 1; icolq[4] = 2; + q[5] = 1.0; irowq[5] = 1; icolq[5] = 2; + q[6] = 2.0; irowq[6] = 2; icolq[6] = 2; + q[7] = 2.0; irowq[7] = 2; icolq[7] = 2; + + ifail = 0; + //Expand the existing linear matrix inequality with bilnear term + E04RP e04rp = new E04RP(handle,nq,qi,qj,dimaq,nnzq,nnzqsum,irowq,icolq, + q,idblk,ifail); + e04rp.eval(); + + //block 2 + dimaq = 2; + nnzasum = 5; + nnza = new int[nvar + 1]; + irowa = new int[nnzasum]; + icola = new int[nnzasum]; + a = new double[nnzasum]; + + nnza[0] = 2; + nnza[1] = 1; + nnza[2] = 1; + nnza[3] = 1; + nnza[4] = 0; + nnza[5] = 0; + + a[0] = 1.0; irowa[0] = 1; icola[0] = 1; + a[1] = 1.0; irowa[1] = 2; icola[1] = 2; + a[2] = 1.0; irowa[2] = 1; icola[2] = 1; + a[3] = 1.0; irowa[3] = 1; icola[3] = 2; + a[4] = 1.0; irowa[4] = 2; icola[4] = 2; + + idblk = 0; + ifail = 0; + //Add the linear matrix inequality to the problem formulation + e04rn = new E04RN(handle,nvar,dimaq,nnza,nnzasum,irowa,icola,a,1, + idummy,idblk,ifail); + e04rn.eval(); + + System.out.println("Passing SDP problem to solver"); + System.out.println(); + + ifail = 0; + //Print overview of handle + //nout = 6 is default output for fortran + E04RY e04ry = new E04RY(handle,6,"Overview,Matrix Constraints",ifail); + e04ry.eval(); + + //Allocate memory for the solver + x = new double[nvar]; + nnzu = 0; + nnzuc = 0; + nnzua = 0; + inform = 0; + for(int i = 0; i < nvar; i++){ + x[i] = 0.0; + } + + ifail = 0; + E04SV e04sv = new E04SV(handle,nvar,x,nnzu,rdummy,nnzuc,rdummy,nnzua,rdummy, + rinfo,stats,inform,ifail); + e04sv.eval(); + + //Destroy handle + ifail = 0; + E04RZ e04rz = new E04RZ(handle,ifail); + e04rz.eval(); + } + +} + + + diff --git a/simple_examples/E04RSJE.java b/simple_examples/E04RSJE.java new file mode 100644 index 0000000..d614fbb --- /dev/null +++ b/simple_examples/E04RSJE.java @@ -0,0 +1,229 @@ +import com.nag.routines.E04.E04RS; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04PT; +import com.nag.routines.E04.E04RZ; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * E04RS + */ +public class E04RSJE { + + public static void main(String[] args) { + + final int nout = 6; + + long cpuser, handle = 0; + double s = 0.0; + int idqc, ifail, n = 0, nnzq0 = 0, nnzq1 = 0, nnzu, nnzuc, x_idx; + boolean verbose_output; + + double[] q0 = null, q1 = null, r0 = null, r1 = null, u, uc, x; + double[] rinfo = new double[100]; + double[] ruser = new double[1]; + double[] stats = new double[100]; + int[] icolq0 = null, icolq1 = null, idxr0 = null, idxr1 = null, irowq0 = null, irowq1 = null; + int[] iuser = new int[2]; + + System.out.println(" E04RSJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); // skip header + + // Read dimensions of the problem + line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + nnzq0 = Integer.parseInt(sVal[1]); + nnzq1 = Integer.parseInt(sVal[2]); + + // Allocate memory to read data + irowq0 = new int[nnzq0]; + icolq0 = new int[nnzq0]; + q0 = new double[nnzq0]; + irowq1 = new int[nnzq1]; + icolq1 = new int[nnzq1]; + q1 = new double[nnzq1]; + idxr0 = new int[n]; + r0 = new double[n]; + idxr1 = new int[n]; + r1 = new double[n]; + + // Read problem data + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq0; i++) { + irowq0[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq0; i++) { + icolq0[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq0; i++) { + q0[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq1; i++) { + irowq1[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq1; i++) { + icolq1[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq1; i++) { + q1[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < n; i++) { + idxr0[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < n; i++) { + r0[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < n; i++) { + idxr1[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < n; i++) { + r1[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + s = Double.parseDouble(sVal[0]); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Compute size of multipliers + // One quadratic constraint in the model will have + // 2 multipliers for both bounds + nnzu = 2; + // No cone constraint in the model, so set nnzuc to 0 + nnzuc = 0; + + // Allocate memory for final results + x = new double[n]; + u = new double[nnzu]; + uc = new double[nnzuc]; + + // Create the problem handle + ifail = 0; + E04RA e04ra = new E04RA(); + e04ra.eval(handle, n, ifail); + handle = e04ra.getHANDLE(); + + // Set objective function + idqc = -1; + ifail = 0; + E04RS e04rs = new E04RS(); + e04rs.eval(handle, 0.0, n, idxr0, r0, nnzq0, irowq0, icolq0, q0, idqc, ifail); + + // Set quadratic constraint + idqc = 0; + ifail = 0; + e04rs.eval(handle, s, n, idxr1, r1, nnzq1, irowq1, icolq1, q1, idqc, ifail); + + // Turn on monitoring + ifail = 0; + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); + + // Set this to True to cause e04ptf to produce intermediate progress output + verbose_output = false; + + if (verbose_output) { + // Require printing of primal and dual solutions at the end of the solve + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + } else { + // Turn off printing of intermediate progress output + ifail = 0; + e04zm.eval(handle, "Print Level = 1", ifail); + } + + // Call SOCP interior point solver + cpuser = 0; + iuser[0] = nout; + iuser[1] = 0; + ruser[0] = 1.0e-07; + ifail = -1; + E04PT e04pt = new E04PT(); + MONIT monit = new MONIT(); + e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + ifail = e04pt.getIFAIL(); + + // Print solution if optimal or suboptimal solution found + if ((ifail == 0) || (ifail == 50)) { + System.out.println(" Optimal X:"); + System.out.println(" x_idx Value "); + for (x_idx = 0; x_idx < n; x_idx++) { + System.out.printf(" %5d %11.3e\n", x_idx, x[x_idx]); + } + } + + // Free the handle memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + } + + public static class MONIT extends E04PT.Abstract_E04PT_MONIT { + + public void eval() { + double tol; + int nout, tol_reached; + + nout = this.IUSER[0]; + tol_reached = this.IUSER[1]; + tol = this.RUSER[0]; + + // If x is close to the solution, print a message + if ((this.RINFO[14] < tol) && (this.RINFO[15] < tol) && (this.RINFO[16] < tol) && (this.RINFO[17] < tol)) { + if (tol_reached == 0) { + System.out.printf("\n monit() reports good approximate solution (tol =%9.2e)\n", tol); + this.IUSER[1] = 1; + } + } + } + } +} diff --git a/simple_examples/E04RTJE.java b/simple_examples/E04RTJE.java new file mode 100644 index 0000000..dd4bce8 --- /dev/null +++ b/simple_examples/E04RTJE.java @@ -0,0 +1,225 @@ +import com.nag.routines.E04.E04RT; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RJ; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04PT; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04RH; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * E04RT example program text. + */ +public class E04RTJE { + + public static void main(String[] args) { + + final int nout = 6; + + long cpuser, handle = 0; + int i, idlc, idqc, ifail, j, m = 0, n = 0, nnza = 0, nnzu, nnzuc, x_idx; + boolean verbose_output; + + double[] a = null, b = null, r0 = null, u, uc, x, xl = null, xu = null; + double[] lc = new double[3]; + double[] lc_rhs = new double[1]; + double[] rinfo = new double[100]; + double[] ruser = new double[1]; + double[] stats = new double[100]; + int[] icola = null, idxr0 = null, irowa = null; + int[] icollc = new int[3]; + int[] irowlc = new int[3]; + int[] iuser = new int[2]; + + System.out.println(" E04RTJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); // skip header + + // Read dimensions of the problem + line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + m = Integer.parseInt(sVal[1]); + nnza = Integer.parseInt(sVal[2]); + + // Allocate memory to read data + a = new double[nnza]; + icola = new int[nnza]; + irowa = new int[nnza]; + idxr0 = new int[n]; + r0 = new double[n]; + b = new double[m]; + xl = new double[n]; + xu = new double[n]; + + // Read problem data + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < nnza; i++) { + irowa[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < nnza; i++) { + icola[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < nnza; i++) { + a[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < m; i++) { + b[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + xl[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + xu[i] = Double.parseDouble(sVal[i]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Compute -2*b'A as linear term in quadratic function + for (j = 0; j < n; j++) { + r0[j] = 0.0; + idxr0[j] = j + 1; + } + for (i = 0; i < nnza; i++) { + r0[icola[i] - 1] = r0[icola[i] - 1] + a[i] * b[irowa[i] - 1]; + } + + // Compute size of multipliers + // One linear constraint in the model will have + // 2 multipliers for both bounds + nnzu = 2 * n + 2; + // No cone constraint in the model, so set nnzuc to 0 + nnzuc = 0; + + // Allocate memory for final results + x = new double[n]; + u = new double[nnzu]; + uc = new double[nnzuc]; + + // Create the problem handle + ifail = 0; + E04RA e04ra = new E04RA(); + e04ra.eval(handle, n, ifail); + handle = e04ra.getHANDLE(); + + // Set quadratic objective function + idqc = -1; + ifail = 0; + E04RT e04rt = new E04RT(); + e04rt.eval(handle, 0.0, n, idxr0, r0, m, nnza, irowa, icola, a, idqc, ifail); + + // Set box constraints + ifail = 0; + E04RH e04rh = new E04RH(); + e04rh.eval(handle, n, xl, xu, ifail); + + // Set linear constraint: x1 + x2 + x3 = 1 + for (j = 0; j < n; j++) { + irowlc[j] = 1; + icollc[j] = j + 1; + lc[j] = 1.0; + } + lc_rhs[0] = 1.0; + ifail = 0; + idlc = 0; + E04RJ e04rj = new E04RJ(); + e04rj.eval(handle, 1, lc_rhs, lc_rhs, 3, irowlc, icollc, lc, idlc, ifail); + + // Turn on monitoring + ifail = 0; + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); + + // Set this to True to cause e04ptf to produce intermediate progress output + verbose_output = false; + + if (verbose_output) { + // Require printing of primal and dual solutions at the end of the solve + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + } else { + // Turn off printing of intermediate progress output + ifail = 0; + e04zm.eval(handle, "Print Level = 1", ifail); + } + + // Call SOCP interior point solver + cpuser = 0; + iuser[0] = nout; + iuser[1] = 0; + ruser[0] = 1.0e-07; + ifail = -1; + E04PT e04pt = new E04PT(); + MONIT monit = new MONIT(); + e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + ifail = e04pt.getIFAIL(); + + // Print solution if optimal or suboptimal solution found + if ((ifail == 0) || (ifail == 50)) { + System.out.println(" Optimal X:"); + System.out.println(" x_idx Value "); + for (x_idx = 0; x_idx < n; x_idx++) { + System.out.printf(" %5d %11.3e\n", x_idx, x[x_idx]); + } + } + + // Free the handle memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + } + + public static class MONIT extends E04PT.Abstract_E04PT_MONIT { + + public void eval() { + double tol; + int nout, tol_reached; + + nout = this.IUSER[0]; + tol_reached = this.IUSER[1]; + tol = this.RUSER[0]; + + // If x is close to the solution, print a message + if ((this.RINFO[14] < tol) && (this.RINFO[15] < tol) && (this.RINFO[16] < tol) && (this.RINFO[17] < tol)) { + if (tol_reached == 0) { + System.out.printf("\n monit() reports good approximate solution (tol =%9.2e)\n", tol); + this.IUSER[1] = 1; + } + } + } + } + } diff --git a/simple_examples/E04SAJE.java b/simple_examples/E04SAJE.java new file mode 100644 index 0000000..325267b --- /dev/null +++ b/simple_examples/E04SAJE.java @@ -0,0 +1,104 @@ +import com.nag.routines.E04.E04RC; +import com.nag.routines.E04.E04SA; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04PT; +import com.nag.routines.E04.E04PTU; + +/** + * E04SA example program text. + */ +public class E04SAJE { + + public static final String fname = "e04saje.opt"; + public static void main(String[] args) { + + long cpuser, handle = 0; + int ifail, n, nnzu, nnzuc, x_idx; + boolean verbose_output; + String ftype; + + double[] rinfo = new double[100]; + double[] ruser = new double[1]; + double[] stats = new double[100]; + double[] u, uc, x; + int[] iuser = new int[1]; + int[] pinfo = new int[100]; + + System.out.println(" E04SAJ Example Program Results"); + + // Read mps file to a handle + ifail = 0; + ftype = "mps"; + E04SA e04sa = new E04SA(); + e04sa.eval(handle, fname, ftype, pinfo, ifail); + handle = e04sa.getHANDLE(); + + // Get problem size from pinfo + pinfo = e04sa.getPINFO(); + n = pinfo[0]; + nnzu = pinfo[10]; + nnzuc = pinfo[11]; + + // Set all variables as continuous + ifail = 0; + E04RC e04rc = new E04RC(); + + int[] x_idx_Arr = new int[n]; + for (x_idx = 1; x_idx <= n; x_idx++) { + x_idx_Arr[x_idx - 1] = x_idx; + } + + e04rc.eval(handle, "CONT", n, x_idx_Arr, ifail); + + // Allocate memory + x = new double[n]; + u = new double[nnzu]; + uc = new double[nnzuc]; + + // Set this to .True. to cause e04ptf to produce intermediate progress output + verbose_output = false; + + E04ZM e04zm = new E04ZM(); + if (verbose_output) { + // Require printing of primal and dual solutions at the end of the solve + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + } else { + // Turn off printing of intermediate progress output + ifail = 0; + e04zm.eval(handle, "Print Level = 1", ifail); + } + + // Call SOCP interior point solver + cpuser = 0; + ifail = -1; + E04PT e04pt = new E04PT(); + MONIT monit = new MONIT(); + e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + ifail = e04pt.getIFAIL(); + + // Print solution if optimal or suboptimal solution found + if ((ifail == 0) || (ifail == 50)) { + System.out.println(" Optimal X:"); + System.out.println(" x_idx " + " Value "); + for (x_idx = 0; x_idx < n; x_idx++) { + System.out.printf(" %5d %12.5e\n", x_idx, x[x_idx]); + } + } + + // Free the handle memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + } + + public static class MONIT extends E04PT.Abstract_E04PT_MONIT { + + public void eval() { + E04PTU e04ptu = new E04PTU(); + e04ptu.eval(this.HANDLE, this.RINFO, this.STATS, this.IUSER, this.RUSER, this.CPUSER, this.INFORM); + this.INFORM = e04ptu.getINFORM(); + } + } +} diff --git a/simple_examples/E04TAJE.java b/simple_examples/E04TAJE.java new file mode 100644 index 0000000..97cebe2 --- /dev/null +++ b/simple_examples/E04TAJE.java @@ -0,0 +1,188 @@ +import com.nag.routines.E04.E04TA; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RE; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RJ; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04MT; +import com.nag.routines.E04.E04MTU; +import com.nag.routines.E04.E04TD; +import com.nag.routines.E04.E04TE; +import com.nag.routines.E04.E04TJ; +import com.nag.routines.E04.E04RW; +import com.nag.routines.E04.E04RZ; + +import java.util.Arrays; + +/** + * E04TA + */ +public class E04TAJE { + + public static void main(String[] args) { + + final double infbnd = 1.0e20; + + long cpuser, handle; + int idlc, ifail, ioflag, liarr, nclin, nnza, nnzu, nvar; + + double[] a, bla, bua, cvec, ulag, x, xl, xu; + + double[] rinfo = new double[100]; + double[] ruser = new double[1]; + double[] stats = new double[100]; + double[] u = new double[1]; + + int[] icola, irowa; + + int[] iuser = new int[1]; + int[] pinfo = new int[100]; + + System.out.println(" E04TAJ Example Program Results\n"); + System.out.println(" Solve the first LP\n"); + + handle = 0; + cpuser = 0; + + // Initialize the handle + nvar = 2; + ifail = 0; + E04RA e04ra = new E04RA(); + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + // Define the objective function + cvec = new double[nvar]; + cvec[0] = 2.0; + cvec[1] = 4.5; + ifail = 0; + E04RE e04re = new E04RE(); + e04re.eval(handle, nvar, cvec, ifail); + + // Box constraints + xl = new double[nvar]; + xu = new double[nvar]; + Arrays.fill(xl, 0.0); + xu[0] = infbnd; + xu[1] = 100.0; + ifail = 0; + E04RH e04rh = new E04RH(); + e04rh.eval(handle, nvar, xl, xu, ifail); + + // Set the linear constraints + idlc = 0; + nclin = 3; + nnza = 6; + bla = new double[nclin]; + bua = new double[nclin]; + irowa = new int[nnza]; + icola = new int[nnza]; + a = new double[nnza]; + Arrays.fill(bla, -infbnd); + bua = new double[] { + 1500.0, 6000.0, 16000.0 + }; + irowa = new int[] { + 1, 1, 2, 2, 3, 3 + }; + icola = new int[] { + 1, 2, 1, 2, 1, 2 + }; + a = new double[] { + 1.2, 3.0, 6.0, 10.0, 40.0, 80.0 + }; + ifail = 0; + E04RJ e04rj = new E04RJ(); + e04rj.eval(handle, nclin, bla, bua, nnza, irowa, icola, a , idlc, ifail); + + // Optional parameters + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "Task = Max", ifail); + e04zm.eval(handle, "Print Options = No", ifail); + e04zm.eval(handle, "Print Level = 1", ifail); + e04zm.eval(handle, "Print Solution = X", ifail); + + // Call the LP solver + x = new double[nvar + 1]; + nnzu = 0; + ifail = -1; + E04MT e04mt = new E04MT(); + MONIT monit = new MONIT(); + e04mt.eval(handle, nvar, x ,nnzu, u, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + + // Add a variable + ifail = 0; + E04TA e04ta = new E04TA(); + e04ta.eval(handle, 1, nvar, ifail); + nvar = e04ta.getNVAR(); + + // Box constraint on the new variable + ifail = 0; + E04TD e04td = new E04TD(); + e04td.eval(handle, "variable", nvar, 0.0, 50.0, ifail); + + // Add the linear objective component + ifail = 0; + E04TE e04te = new E04TE(); + e04te.eval(handle, 3, 7.0, ifail); + + // Add linear constraints coefficients + E04TJ e04tj = new E04TJ(); + ifail = 0; + e04tj.eval(handle, 1, 3, 5.0, ifail); + ifail = 0; + e04tj.eval(handle, 2, 3, 12.0, ifail); + ifail = 0; + e04tj.eval(handle, 3, 3, 120.0, ifail); + + System.out.println("\n The new variable has been added, solve the handle again\n"); + + // Solve the problem again + ifail = -1; + e04mt.eval(handle, nvar, x, nnzu, u, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + + // Add a linear constraint + nclin = 1; + bla[0] = -infbnd; + bua[0] = 100.0; + nnza = 2; + irowa[0] = 1; + irowa[1] = 1; + icola[0] = 2; + icola[1] = 3; + a[0] = 1.0; + a[1] = 1.0; + idlc = 0; + e04rj.eval(handle, nclin, bla, bua ,nnza, irowa, icola, a ,idlc, ifail); + + System.out.println("\n The new constraint has been added, solve the handle again\n"); + + // Query the problem sizes to request the Lagrangian multipliers for the + // last solve + ioflag = 1; + liarr = 100; + E04RW e04rw = new E04RW(); + e04rw.eval(handle, "pinfo", ioflag, liarr, pinfo, ifail); + nnzu = pinfo[10]; + ulag = new double[nnzu]; + + // Solve the problem again + ifail = -1; + e04mt.eval(handle, nvar, x ,nnzu, ulag, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + + // Free the memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + } + + public static class MONIT extends E04MT.Abstract_E04MT_MONIT { + + public void eval() { + E04MTU e04mtu = new E04MTU(); + e04mtu.eval(this.HANDLE, this.RINFO, this.STATS, this.IUSER, this.RUSER, + this.CPUSER, this.INFORM); + this.INFORM = e04mtu.getINFORM(); + } + } +} diff --git a/simple_examples/E04TCJE.java b/simple_examples/E04TCJE.java new file mode 100644 index 0000000..d28d78b --- /dev/null +++ b/simple_examples/E04TCJE.java @@ -0,0 +1,263 @@ +import com.nag.routines.E04.E04FFU; +import com.nag.routines.E04.E04GG; +import com.nag.routines.E04.E04GGU; +import com.nag.routines.E04.E04GGV; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RM; +import com.nag.routines.E04.E04TB; +import com.nag.routines.E04.E04TC; +import com.nag.routines.E04.E04TD; +import com.nag.routines.E04.E04ZM; +import java.io.BufferedReader; +import java.io.FileReader; +import java.text.NumberFormat; +import java.util.logging.Level; +import java.util.logging.Logger; +import java.util.Arrays; + +/** + * E04TC example program text. + * @author Mo + */ +public class E04TCJE { + + public static void main(String[] args) { + double[] rx, x, udt, udy; + double[] rinfo = new double[100], ruser = new double[0], + stats = new double[100]; + int ifail, isparse, nnzrd, nres, nvar, udnres; + int[] icolrd = new int[0], irowrd = new int[0], iuser = new int[0]; + int[] idx; + long cpuser, handle; // c_ptr + LSQFUN lsqfun = new LSQFUN(); + LSQGRD lsqgrd = new LSQGRD(); + LSQHES lsqhes = new LSQHES(); + LSQHPRD lsqhprd = new LSQHPRD(); + MONIT monit = new MONIT(); + + /* Header */ + System.out.printf(" E04TCJ Example Program Results\n\n"); + try { + + handle = 0L; + cpuser = 0L; + + BufferedReader br = new BufferedReader(new FileReader(args[0])); + String line = br.readLine(); // read the header + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + String[] data = line.split("\\s+"); + + /* Read number of residuals */ + nres = Integer.parseInt(data[0]); + + udnres = nres; + + /* Allocate memory */ + udt = new double[nres]; + udy = new double[nres]; + + /* Read observations */ + + for (int ii = 0; ii < nres; ii += 3) { + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int jj = 0; jj < 3; ++jj) { + udt[ii+jj] = Double.parseDouble(data[jj]); + } + } + + for (int ii = 0; ii < nres; ii += 3) { + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int jj = 0; jj < 3; ++jj) { + udy[ii+jj] = Double.parseDouble(data[jj]); + } + } + + /* try to fit the model */ + /* f(t) = at^2 + bt + c + d sin(omega t) */ + /* To the data {(t_i, y_i)} */ + nvar = 5; + + /* Initialize the NAG optimization handle */ + E04RA e04ra = new E04RA(); + ifail = 0; // hard fail + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + /* Define a dense nonlinear least-squares objective function */ + /* (isparse = 0 => the sparsity pattern of the Jacobian */ + /* doesn't need to be defined) */ + E04RM e04rm = new E04RM(); + isparse = 0; + nnzrd = 1; + e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); + + /* Set some optional parameters to control the output of the solver */ + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "Print Options = No", ifail); + e04zm.eval(handle, "Print Solution = X", ifail); + e04zm.eval(handle, "Print Level = 1", ifail); + + System.out.println("First solve the problem with the outliers"); + System.out.println(); + System.out.println("--------------------------------------------------------"); + + /* Call the solver */ + E04GG e04gg = new E04GG(); + x = new double[nvar]; + for (int ii = 0; ii < nvar; ++ii) { + x[ii] = 1.0; + } + rx = new double[nres]; + iuser = new int[] {udnres}; + ruser = new double[2 * udnres];; + for (int ii = 0; ii < udnres; ii++) { + ruser[ii] = udt[ii]; + ruser[udnres + ii] = udy[ii]; + } + ifail = -1; + e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, + rx, rinfo, stats, iuser, ruser, cpuser, ifail); + + System.out.println("--------------------------------------------------------"); + System.out.println(); + System.out.println("Now remove the outlier residuals from the problem handle"); + System.out.println(); + System.out.println("--------------------------------------------------------"); + + /* Disable the two outlier residuals */ + E04TC e04tc = new E04TC(); + idx = new int[] {10, 20}; + e04tc.eval(handle, "NLS", 2, idx, ifail); + + /* Solve the problem again */ + for (int ii = 0; ii < nvar; ++ii) { + x[ii] = 1.0; + } + ifail = -1; + e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, + rx, rinfo, stats, iuser, ruser, cpuser, ifail); + + System.out.println("--------------------------------------------------------"); + System.out.println(); + System.out.println("Assuming the outliers points are measured again"); + System.out.println("we can enable the residuals and adjust the values"); + System.out.println(); + System.out.println("--------------------------------------------------------"); + + /* Fix the first variable to its known value of 0.3 */ + /* enable the residuals and adjust the values in the data */ + E04TD e04td = new E04TD(); + e04td.eval(handle, "variable", 1, 0.3, 0.3, ifail); + E04TB e04tb = new E04TB(); + e04tb.eval(handle, "NLS", 2, idx, ifail); + udy[9] = -0.515629; + udy[19] = 0.54920; + + /* Solve the problem */ + for (int ii = 0; ii < nvar; ++ii) { + x[ii] = 1.0; + } + ifail = -1; + e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, + rx, rinfo, stats, iuser, ruser, cpuser, ifail); + + } + catch (Exception ex) { + Logger.getLogger(E04TCJE.class.getName()).log(Level.SEVERE, null, ex); + } + + } + + public static class LSQFUN extends E04GG.Abstract_E04GG_LSQFUN { + + public void eval() { + int udnres; + double[] udt, udy; + + /* Unpack the user data from cpuser */ + udnres = this.IUSER[0]; + udt = Arrays.copyOfRange(this.RUSER, 0, udnres); + udy = Arrays.copyOfRange(this.RUSER, udnres, udnres + udnres); + + for (int i = 0; i < this.NRES; i++) { + this.RX[i] = 0.0; + } + + for (int i = 0; i < this.NRES; i++) { + this.RX[i] = (this.X[0] * Math.pow(udt[i],2) + this.X[1] * udt[i] + + this.X[2] + this.X[3] * Math.sin(this.X[4] * udt[i])) - + udy[i]; + } + + this.INFORM = 0; + + } + + } + + public static class LSQGRD extends E04GG.Abstract_E04GG_LSQGRD { + + public void eval() { + int udnres; + double[] udt, udy; + + /* Unpack the user data from cpuser */ + udnres = this.IUSER[0]; + udt = Arrays.copyOfRange(this.RUSER, 0, udnres); + udy = Arrays.copyOfRange(this.RUSER, udnres, udnres + udnres); + + for (int i = 1; i <= this.NRES; i++) { + this.RDX[((i-1)*this.NVAR + 1) - 1] = Math.pow(udt[i-1],2); + this.RDX[((i-1)*this.NVAR + 2) - 1] = udt[i-1]; + this.RDX[((i-1)*this.NVAR + 3) - 1] = 1.0; + this.RDX[((i-1)*this.NVAR + 4) - 1] = Math.sin(this.X[4] * udt[i-1]); + this.RDX[((i-1)*this.NVAR + 5) - 1] = this.X[3] * udt[i-1] * + Math.cos(this.X[4] * udt[i-1]); + + } + + this.INFORM = 0; + + } + + } + + public static class LSQHES extends E04GG.Abstract_E04GG_LSQHES { + + public void eval() { + E04GGU e04ggu = new E04GGU(); + e04ggu.eval(this.NVAR, this.X, this.NRES, this.LAMBDA, this.HX, + this.INFORM, this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ggu.getINFORM(); + } + + } + + public static class LSQHPRD extends E04GG.Abstract_E04GG_LSQHPRD { + + public void eval() { + E04GGV e04ggv = new E04GGV(); + e04ggv.eval(this.NVAR, this.X, this.Y, this.NRES, this.HXY, this.INFORM, + this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ggv.getINFORM(); + } + + } + + public static class MONIT extends E04GG.Abstract_E04GG_MONIT { + + public void eval() { + E04FFU e04ffu = new E04FFU(); + e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, + this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ffu.getINFORM(); + } + + } + +} diff --git a/simple_examples/E04UCJE.java b/simple_examples/E04UCJE.java new file mode 100644 index 0000000..e43d457 --- /dev/null +++ b/simple_examples/E04UCJE.java @@ -0,0 +1,211 @@ +import com.nag.routines.E04.E04UC; +import com.nag.routines.E04.E04WB; +import com.nag.routines.E04.E04UE; +import com.nag.routines.F06.DGEMV; +import java.util.Arrays; + +/** + * E04UC example program text. + * @author joed + */ +public class E04UCJE { + + public static final double ONE = 1.0, ZERO = 0.0; + public static final int INC1 = 1, LCWSAV = 1, LIWSAV = 610, LLWSAV = 120, LRWSAV = 475; + public static CONFUN confun = new CONFUN(); + public static OBJFUN objfun = new OBJFUN(); + + public static void main(String[] args) { + + /* Local Scalars */ + double objf; + int i, ifail, inform, iter, j, lda, ldcj, ldr, liwork, lwork, n, nclin, ncnln, sda, sdcjac; + /* Local Arrays */ + double[] a, bl, bu, c, cjac, clamda, objgrd, r, work, x; + double[] ruser = new double[1], rwsav = new double[LRWSAV]; + int[] istate, iwork; + int[] iuser = new int[1], iwsav = new int[LIWSAV]; + boolean[] lwsav = new boolean[LLWSAV]; + String[] cwsav = new String[LCWSAV]; + Arrays.fill(cwsav, + " "); + + System.out.println(" E04UCJ Example Program Results"); + + /* Set scalars */ + n = 4; + nclin = 1; + ncnln = 2; + liwork = 3*n + nclin + 2*ncnln; + lda = Math.max(1, nclin); + sda = (nclin > 0) ? n : 1; + ldcj = Math.max(1, ncnln); + sdcjac = (ncnln > 0) ? n : 1; + ldr = n; + + if (ncnln == 0 && nclin > 0) { + lwork = 2*n*n + 20*n + 11*nclin; + } + else if (ncnln > 0 && nclin >= 0) { + lwork = 2*n*n + n*nclin + 2*n*ncnln + 20*n + 11*nclin + 21*ncnln; + } + else { + lwork = 20*n; + } + + /* Set arrays */ + istate = new int[n + nclin + ncnln]; + iwork = new int[liwork]; + c = new double[Math.max(1, ncnln)]; + cjac = new double[ldcj * sdcjac]; + clamda = new double[n + nclin + ncnln]; + objgrd = new double[n]; + r = new double[ldr * n]; + work = new double[lwork]; + + a = new double[]{1.0, 1.0, 1.0, 1.0}; + bl = new double[]{1.0, 1.0, 1.0, 1.0, -1.0E+25, -1.0E+25, 25.0}; + bu = new double[]{5.0, 5.0, 5.0, 5.0, 20.0, 40.0, 1.0E+25}; + x = new double[]{1.0, 5.0, 5.0, 1.0}; + + /* Initialise E04UC */ + E04WB e04wb = new E04WB(); + ifail = 0; + e04wb.eval("E04UCA", cwsav, LCWSAV, lwsav, LLWSAV, iwsav, LIWSAV, rwsav, LRWSAV, ifail); + E04UE e04ue = new E04UE(); + inform = 0; + e04ue.eval("Print Level = 10", lwsav, iwsav, rwsav, inform); + + /* Solve the problem */ + E04UC e04uc = new E04UC(); + iter = 0; + objf = 0.0; + ifail = -1; + e04uc.eval(n, nclin, ncnln, lda, ldcj, ldr, a, bl, bu, confun, objfun, iter, istate, c, + cjac, clamda, objf, objgrd, r, x, iwork, liwork, work, lwork, iuser, ruser, + lwsav, iwsav, rwsav, ifail); + iter = e04uc.getITER(); + objf = e04uc.getOBJF(); + ifail = e04uc.getIFAIL(); + + if ((0 >= ifail && ifail <= 6) || ifail == 8) { + System.out.println(); + System.out.println(" Varbl Istate Value Lagr Mult"); + System.out.println(); + + for (i = 0; i < n; i++) { + System.out.printf(" V %3d %3d %13.6G %13.4G\n", i+1, istate[i], x[i], clamda[i]); + } + + if (nclin > 0) { + + /* A*x --> work. + * The NAG name equivalent of DGEMV is F06PA */ + DGEMV dgemv = new DGEMV(); + dgemv.eval("N", nclin, n, ONE, a, lda, x, INC1, ZERO, work, INC1); + + System.out.println(); + System.out.println(); + System.out.println(" L Con Istate Value Lagr Mult"); + System.out.println(); + + for (i = n; i < n+nclin; i++) { + j = i - n; + System.out.printf(" L %3d %3d %13.6G %13.4G\n", j+1, istate[i], work[j], clamda[i]); + } + + } + + if (ncnln > 0) { + System.out.println(); + System.out.println(); + System.out.println(" N Con Istate Value Lagr Mult"); + System.out.println(); + + for (i = n+nclin; i < n+nclin+ncnln; i++) { + j = i - n - nclin; + System.out.printf(" N %3d %3d %13.6G %13.4G\n", j+1, istate[i], c[j], clamda[i]); + } + + } + + System.out.println(); + System.out.println(); + System.out.printf(" Final objective value = %11.7G\n", objf); + + } + + } + + /** Routine to evaluate objective function and its 1st derivatives. */ + public static class OBJFUN extends E04UC.Abstract_E04UC_OBJFUN { + + public void eval() { + + if (MODE == 0 || MODE == 2) { + OBJF = X[0] * X[3] * (X[0]+X[1]+X[2]) + X[2]; + } + + if (MODE == 1 || MODE == 2) { + OBJGRD[0] = X[3] * (X[0]+X[0]+X[1]+X[2]); + OBJGRD[1] = X[0] * X[3]; + OBJGRD[2] = X[0] * X[3] + ONE; + OBJGRD[3] = X[0] * (X[0]+X[1]+X[2]); + } + + } + + } + + /** Routine to evaluate the nonlinear constraints and their 1st derivatives. */ + public static class CONFUN extends E04UC.Abstract_E04UC_CONFUN { + + public void eval() { + + if (NSTATE == 1) { + + /* First call to CONFUN. Set all Jacobian elements to zero. + * Note that this will only work when 'Derivative Level = 3' + * (the default; see Section 11.2). */ + + for (int i = 0; i < CJAC.length; ++i) { + CJAC[i] = 0; + } + + } + + if (NEEDC[0] > 0) { + + if (MODE == 0 || MODE == 2) { + C[0] = X[0]*X[0] + X[1]*X[1] + X[2]*X[2] + X[3]*X[3]; + } + + if (MODE == 1 || MODE == 2) { + CJAC[0] = X[0] + X[0]; + CJAC[LDCJ] = X[1] + X[1]; + CJAC[2*LDCJ] = X[2] + X[2]; + CJAC[3*LDCJ] = X[3] + X[3]; + } + + } + + if (NEEDC[1] > 0) { + + if (MODE == 0 || MODE == 2) { + C[1] = X[0]*X[1]*X[2]*X[3]; + } + + if (MODE == 1 || MODE == 2) { + CJAC[1] = X[1]*X[2]*X[3]; + CJAC[1+LDCJ] = X[0]*X[2]*X[3]; + CJAC[1+2*LDCJ] = X[0]*X[1]*X[3]; + CJAC[1+3*LDCJ] = X[0]*X[1]*X[2]; + } + + } + + } + + } + +} diff --git a/simple_examples/E04YAJE.java b/simple_examples/E04YAJE.java new file mode 100644 index 0000000..72d80da --- /dev/null +++ b/simple_examples/E04YAJE.java @@ -0,0 +1,112 @@ +import com.nag.routines.E04.E04YA; + + +/** + * E04YA example program text. + * @author joed + */ +public class E04YAJE { + + public static LSQFUN lsqfun = new LSQFUN(); + public static final int LIW = 1, MDEC = 15, NDEC = 3; + public static final int LDFJAC = MDEC; + public static final int LW = 3*NDEC + MDEC + MDEC*NDEC; + public static double[] t = new double[MDEC*NDEC], y = new double[MDEC]; + + /** Routine to evaluate the residuals and their 1st derivatives. */ + public static class LSQFUN extends E04YA.Abstract_E04YA_LSQFUN { + + public void eval() { + double denom, dummy; + int i; + + for (i = 0; i < M; i++) { + denom = (XC[1] * t[MDEC + i]) + (XC[2] * t[2*MDEC + i]); + + if (IFLAG != 1) { + FVEC[i] = XC[0] + (t[i]/denom) - y[i]; + } + + if (IFLAG != 0) { + FJAC[i] = 1.0; + dummy = -1.0/(denom*denom); + FJAC[MDEC + i] = t[i] * t[MDEC + i] * dummy; + FJAC[2*MDEC + i] = t[i] * t[2*MDEC + i] * dummy; + } + + } + } + + } + + public static void main(String[] args) { + int i, ifail, m, n; + double[] fjac = new double[LDFJAC*NDEC], fvec = new double[MDEC], + w = new double[LW], x = new double[NDEC]; + int[] iw = new int[LIW]; + + System.out.println(" E04YAJ Example Program Results"); + + n = NDEC; + m = MDEC; + + /* Observations of TJ (J = 1, 2, ..., n) are held in T(I, J) + * (I = 1, 2, ..., m) */ + + y = new double[]{0.14, 0.18, 0.22, 0.25, 0.29, 0.32, 0.35, 0.39, 0.37, + 0.58, 0.73, 0.96, 1.34, 2.10, 4.39}; + for (i = 0; i < m; i++) { + t[i] = i + 1.0; + t[m + i] = 15.0 - i; + t[2*m + i] = -Math.abs(i - 7.0) + 8.0; + } + + /* Set up an arbitrary point at which to check the 1st derivatives */ + + x[0] = 0.19; + x[1] = -1.34; + x[2] = 0.88; + + System.out.println(); + System.out.println("The test point is"); + System.out.printf(" "); + for (i = 0; i < n; i++) { + System.out.printf("%10.5f", x[i]); + } + System.out.printf("\n"); + + E04YA e04ya = new E04YA(); + ifail = -1; + e04ya.eval(m, n, lsqfun, x, fvec, fjac, LDFJAC, iw, LIW, w, LW, ifail); + ifail = e04ya.getIFAIL(); + + if (ifail >= 0 && ifail != 1) { + + switch (ifail) { + case 0: + System.out.println(); + System.out.println("1st derivatives are consistent with residual values"); + break; + case 2: + System.out.println(); + System.out.println("Probable error in calculation of 1st derivatives"); + break; + default: + } + + System.out.println(); + System.out.println("At the test point, LSQFUN gives"); + System.out.println(); + System.out.println(" Residuals 1st derivatives"); + for (i = 0; i < m; i++) { + System.out.printf(" %15.3E", fvec[i]); + System.out.printf("%15.3E", fjac[i]); + System.out.printf("%15.3E", fjac[LDFJAC + i]); + System.out.printf("%15.3E\n", fjac[2*LDFJAC + i]); + } + + } + + } + +} diff --git a/simple_examples/F01ADJE.java b/simple_examples/F01ADJE.java new file mode 100644 index 0000000..4167f71 --- /dev/null +++ b/simple_examples/F01ADJE.java @@ -0,0 +1,39 @@ +import com.nag.routines.F01.F01AD; +import com.nag.routines.X04.X04CA; + + +/** + * F01AD example program text. + * @author joed + */ +public class F01ADJE { + + public static void main(String[] args) { + + int i, ifail, lda, n; + double[] a; + + System.out.println(" F01ADJ Example Program Results"); + System.out.println(); + + n = 4; + lda = n + 1; + a = new double[] { + 5.0, 7.0, 6.0, 5.0, 0.0, + 7.0, 10.0, 8.0, 7.0, 0.0, + 6.0, 8.0, 10.0, 9.0, 0.0, + 5.0, 7.0, 9.0, 10.0, 0.0 + }; + + F01AD f01ad = new F01AD(); + ifail = -1; + f01ad.eval(n, a, lda, ifail); + ifail = f01ad.getIFAIL(); + + /* Print the result matrix A */ + X04CA x04ca = new X04CA(); + x04ca.eval("L", "B", lda, n, a, lda, "Lower triangle of inverse", ifail); + + } + +} diff --git a/simple_examples/F01CKJE.java b/simple_examples/F01CKJE.java new file mode 100644 index 0000000..ed3ffa2 --- /dev/null +++ b/simple_examples/F01CKJE.java @@ -0,0 +1,60 @@ +import com.nag.routines.F01.F01CK; +import com.nag.routines.X04.X04CB; +import java.util.logging.Level; +import java.util.logging.Logger; + + +/** + * F01CK example program text. + * @author ludovic + */ +public class F01CKJE { + + public static void main(String[] args) { + + double[] a, b, c, z; + int n, p, m, iz, opt; + int ifail; + + m = 3; + n = p = 2; + iz = 1; + opt = 1; + a = new double[n * p]; + b = new double[n * m]; + c = new double[m * p]; + z = new double[iz]; + ifail = 0; + + System.out.println(" F01CKJ Example Program Results"); + + // Initialising b and c + + for (int i = 0; i < m; ++i) { + for (int j = 0; j < n; ++j) { + b[j+i*n] = (double) (i+j); + } + for (int j = 0; j < p; ++j) { + c[i+j*m] = (double) (i+j); + } + } + + F01CK f01ck = new F01CK(a, b, c, n, p, m, z, iz, opt, ifail); + f01ck.eval(); + ifail = f01ck.getIFAIL(); + String title = "Matrix A"; + System.out.println(); + System.out.flush(); + ifail = 0; + + String matrix = "G", diag = "N", nolabel = "N", form = "F7.1"; + String[] dummy = {" "}; + int ncols = 80; + int indent = 0; + + (new X04CB()).eval(matrix,diag,n,p,a,n,form,title,nolabel,dummy,nolabel, + dummy,ncols,indent, ifail); + + } + +} diff --git a/simple_examples/F01CRJE.java b/simple_examples/F01CRJE.java new file mode 100644 index 0000000..c10b284 --- /dev/null +++ b/simple_examples/F01CRJE.java @@ -0,0 +1,47 @@ +import com.nag.routines.F01.F01CR; +import java.util.logging.Level; +import java.util.logging.Logger; + + +/** + * F01CR example program text. + * @author ludovic + */ +public class F01CRJE { + + public static void main(String[] args) { + System.out.println(" F01CRJ Example Program Results"); + double[] a; + int m,n,mn,lmove; + int[] move; + int ifail; + n = 7; + m = 3; + mn = m*n; + lmove = (m + n)/2; + a = new double[mn]; + move = new int[lmove]; + ifail = 1; + + for (int i = 0; i < mn; i++) { + a[i] = i+1.0; + } + + F01CR f01cr = new F01CR(a, m, n, mn, move, lmove, ifail); + f01cr.eval(); + + System.out.println(); + int index = 0; + for (int i = 0; i < mn; ++i) { + System.out.printf(" %7.1f",a[i]); + ++index; + if (index == 7) { + System.out.println(); + index = 0; + } + } + System.out.println(); + + } + +} diff --git a/simple_examples/F01DGJE.java b/simple_examples/F01DGJE.java new file mode 100644 index 0000000..107137f --- /dev/null +++ b/simple_examples/F01DGJE.java @@ -0,0 +1,72 @@ +import com.nag.routines.F01.F01DG; +import com.nag.routines.X04.X04CA; + +/** + * F01DG example program text. + * @author joed + * @since 27.0.0.0 + */ +public class F01DGJE { + + /** + * F01DG example main program. + */ + public static void main(String[] args) { + + F01DG f01dg = new F01DG(); + X04CA x04ca = new X04CA(); + double alpha; + int i, ifail, lda, ldb, n; + String side, transa, uplo; // Length 1 + double[] a, b; + + System.out.println("F01DGJ Example Program Results\n"); + + // Values for side, uplo and transa + side = "L"; + uplo = "U"; + transa = "T"; + + // Order of square matrices + n = 4; + lda = n; + ldb = n; + + // Scaling constant alpha + alpha = 0.4; + + // Set input matrices (column-major order) + a = new double[]{ + 1.5, 0.0, 0.0, 0.0, + 2.3, 3.4, 0.0, 0.0, + 6.7, 5.4, 8.1, 0.0, + 1.9, 8.6, 2.0, 5.9 + }; + b = new double[]{ + 3.5, 0.0, 0.0, 0.0, + 2.1, 5.6, 0.0, 0.0, + 4.0, 2.1, 1.7, 0.0, + 2.1, 2.5, 1.1, 7.4 + }; + + /* ifail: behaviour on error exit + * = 0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft */ + ifail = 0; + + // Find B=alpha*A*B + f01dg.eval(side, uplo, transa, n, alpha, a, lda, b, ldb, ifail); + ifail = f01dg.getIFAIL(); + + // Print the solution + if (ifail == 0) { + if (transa.equals("N")) { + x04ca.eval(uplo, "N", n, n, b, n, "Solution matrix B", ifail); + } + else { + x04ca.eval("G", "N", n, n, b, n, "Solution matrix B", ifail); + } + } + + } + +} diff --git a/simple_examples/F01ELJE.java b/simple_examples/F01ELJE.java new file mode 100644 index 0000000..93ffe77 --- /dev/null +++ b/simple_examples/F01ELJE.java @@ -0,0 +1,89 @@ +import com.nag.routines.F01.F01EL; +import com.nag.routines.Routine; +import com.nag.routines.X04.X04CA; +import com.nag.types.NAGComplex; +import com.nag.types.NAGComplexInterface; +import java.util.Arrays; + +/** + * F01EL example program text. + * @author joed + */ +public class F01ELJE { + + public static void main(String[] args) { + + F01EL f01el = new F01EL(); + X04CA x04ca = new X04CA(); + + FCos2 fcos2 = new FCos2(); + double imnorm; + int i, ifail, iflag, lda, n; + double[] a, ruser = new double[1]; + int[] iuser = new int[1]; + + Routine.setComplex(new NAGComplex()); + + System.out.println(" F01ELJ Example Program Results"); + System.out.println(); + + // Problem data + n = 4; + a = new double[] { + 3.0, -1.0, 0.0, 2.0, 0.0, 1.0, 2.0, 1.0, 1.0, 3.0, 2.0, -1.0, 2.0, 1.0, 1.0, 1.0 + }; + + // Find f(A) + lda = n; + iflag = 0; + imnorm = 0; + ifail = 0; + f01el.eval(n, a, lda, fcos2, iuser, ruser, iflag, imnorm, ifail); + + // Print solution + ifail = 0; + x04ca.eval("G", "N", n, n, a, lda, "F(A) = COS(2A)", ifail); + + // Print the norm of the imaginary part to check it is small + System.out.println(); + System.out.println(" Imnorm = " + imnorm); + + } + + public static class FCos2 extends F01EL.Abstract_F01EL_F { + + /* These methods should really be part of an extension of NAGComplex. */ + + private NAGComplex complexCos(NAGComplexInterface z) { + NAGComplex cosz = new NAGComplex(); + cosz.setRe(Math.cos(z.getRe()) * Math.cosh(z.getIm())); + cosz.setIm(-Math.sin(z.getRe()) * Math.sinh(z.getIm())); + return cosz; + } + + private NAGComplex complexMult(NAGComplexInterface a, NAGComplexInterface b) { + NAGComplex ab = new NAGComplex(); + ab.setRe((a.getRe()*b.getRe()) - (a.getIm()*b.getIm())); + ab.setIm((a.getRe()*b.getIm()) + (a.getIm()*b.getRe())); + return ab; + } + + /* Calculate F(A) = COS(2A) */ + + public void eval() { + + NAGComplex two = new NAGComplex(); + two.setRe(2.0); + two.setIm(0.0); + + for (int i = 0; i < this.NZ; i++) { + this.FZ[i] = (NAGComplex) complexCos(complexMult(two, this.Z[i])); + } + + this.IFLAG = 0; + + } + + } + +} diff --git a/simple_examples/F01EMJE.java b/simple_examples/F01EMJE.java new file mode 100644 index 0000000..716a7b5 --- /dev/null +++ b/simple_examples/F01EMJE.java @@ -0,0 +1,106 @@ +import com.nag.routines.F01.F01EM; +import com.nag.routines.X04.X04CA; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +/** + * F01EMJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class F01EMJE{ + + /** + * F01EMJ Example main program + */ + public static void main(String[] args){ + double imnorm = 0; + int ifail, iflag = 0, lda, n; //placeholders + double[] a, ruser; + int[] iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println("F01EMJ Example Program Results"); + System.out.println(); + + //Tell wrapper what type of complex type is going to be used + Routine.setComplex(new NAGComplex()); + + //Problem size + n = 4; + lda = n; + + //Allocate + a = new double[lda * n]; + + //Data + //A = ( 1, 0,-2, 1) + // (-1, 2, 0, 1) + // ( 2, 0, 1, 0) + // ( 1, 0,-2, 2) + a[0] = 1; + a[1] = -1; + a[2] = 2; + a[3] = 1; + a[4] = 0; + a[5] = 2; + a[6] = 0; + a[7] = 0; + a[8] = -2; + a[9] = 0; + a[10] = 1; + a[11] = -1; + a[12] = 1; + a[13] = 1; + a[14] = 0; + a[15] = 2; + + //Find f(A) + ifail = 0; + //Create fexp2 object to pass to wrapper + fexp2 f = new fexp2(); + F01EM f01em = new F01EM(n, a, lda, f, iuser, ruser, iflag, imnorm, ifail); + f01em.eval(); + + //Print solution + ifail = 0; + X04CA x04ca = new X04CA("G", "N", n, n, a, lda, "F(A) = EXP(2A)", ifail); + x04ca.eval(); + + //Print the norm oof the imaginary part to check if it small + System.out.println(); + System.out.printf("Imnorm = %.2f\n", imnorm); + } + + /** + * fexp2 class representing f routine argument + */ + public static class fexp2 extends F01EM.Abstract_F01EM_F{ + public void eval(){ + NAGComplex two = new NAGComplex(2, 0); + NAGComplex twoPowM = new NAGComplex(2, 0); + + twoPowM.setRe(Math.pow(2, this.M)); + + for(int i = 0; i < this.NZ; i++){ + this.FZ[i] = NAGComplex.multiply(twoPowM, this.complexExp(NAGComplex.multiply(two, (NAGComplex) this.Z[i]))); + } + + //Set iflag nonzero to terminate exectuion for any reason + this.IFLAG = 0; + } + + //Raises e ^ z where z is a complex number + //Uses eulers formula; + //c ^ (a + bi) = c^a * ((cos(bln(c))) + isin(bln(c))) + public NAGComplex complexExp(NAGComplex x){ + NAGComplex tmp = new NAGComplex(); + tmp.setRe(Math.cos(x.getIm())); + tmp.setIm(Math.sin(x.getIm())); + NAGComplex ans = NAGComplex.multiply(new NAGComplex(Math.exp(x.getRe()), 0), tmp); + return ans; + } + } +} diff --git a/simple_examples/F02EKJE.java b/simple_examples/F02EKJE.java new file mode 100644 index 0000000..ffdced6 --- /dev/null +++ b/simple_examples/F02EKJE.java @@ -0,0 +1,227 @@ +import com.nag.routines.F02.F02EK; +import com.nag.routines.F12.F12AD; +import com.nag.routines.Routine; +import com.nag.routines.X02.X02AJ; +import com.nag.types.NAGComplex; +import com.nag.types.NAGComplexInterface; +import java.util.Arrays; + +/** + * F02EK example program text. + * @author joed + */ +public class F02EKJE { + + public static MYMONIT mymonit = new MYMONIT(); + public static MYOPTION myoption = new MYOPTION(); + + public static void main(String[] args) { + F02EK f02ek = new F02EK(); + X02AJ x02aj = new X02AJ(); + double h, rho, s, sigma; + int ifail, imon, k, ldv, maxit, mode, n, nconv, ncv, nev, nnz, nx, + prtlvl; + NAGComplex complex = new NAGComplex(); + double[] a, resid, v, ruser = new double[1]; + int[] icolzp, irowix, iuser = new int[4]; + NAGComplex[] w; + + Routine.setComplex(complex); + + System.out.println(" F02EKJ Example Program Results"); + System.out.println(); + + nx = 10; + nev = 4; + ncv = 20; + rho = 10.0; + sigma = 5.5; + + n = nx * nx; + nnz = 3*n - 2; + ldv = n; + + resid = new double[ncv]; + a = new double[nnz]; + icolzp = new int[n + 1]; + irowix = new int[nnz]; + w = (NAGComplex[]) complex.getArrayOfInstances(ncv); + v = new double[ldv * ncv]; + + // Construct A in compressed column storage (CCS) format where: + // A{ i , i } = 2 + i + // A{i+1, i } = 3 + // A{ i , i+1} = rho/(2n+2) - 1 + + h = 1.0 / (double)(n+1); + s = (rho * h / 2.0) - 1.0; + + a[0] = 2.0 + 1.0; + a[1] = 3.0; + icolzp[0] = 1; + irowix[0] = 1; + irowix[1] = 2; + k = 3; + + for (int i = 1; i < n - 1; i++) { + icolzp[i] = k; + irowix[k - 1] = i; + irowix[k] = i + 1; + irowix[k + 1] = i + 2; + a[k - 1] = s; + a[k] = 2.0 + (double)(i + 1); + a[k + 1] = 3.0; + k += 3; + } + + icolzp[n - 1] = k; + icolzp[n] = k + 2; + irowix[k - 1] = n - 1; + irowix[k] = n; + a[k - 1] = s; + a[k] = 2.0 + (double)(n); + + // Set some options via iuser array and return routine argument OPTION + // iuser[0] = print level + // iuser[1] = iteration limit + // iuser[2] > 0 means shifted-invert mode + // iuser[3] > 0 means print monitoring info + + prtlvl = 0; + maxit = 500; + mode = 1; + imon = 1; + + if (prtlvl > 0) { + imon = 0; + } + + iuser[0] = prtlvl; + iuser[1] = maxit; + iuser[2] = mode; + iuser[3] = imon; + + nconv = 0; // placeholder value, nconv is output only + ifail = 0; // hard exit on error + + f02ek.eval( + n, nnz, a, icolzp, irowix, nev, ncv, sigma, mymonit, myoption, + nconv, w, v, ldv, resid, iuser, ruser, ifail + ); + ifail = f02ek.getIFAIL(); + nconv = f02ek.getNCONV(); + + System.out.println(); + System.out.printf( + " The %4d Ritz values of closest to %13.5E are:\n", nconv, sigma + ); + + // Get machine precision + double mp = x02aj.eval(); + + for (int i = 0; i < nconv; i++) { + if (resid[i] > (double)(100*n*mp)) { + System.out.printf( + " %8d ( %13.5E , %13.5E ) %13.5E\n", + i + 1, w[i], resid[i] + ); + } + else { + System.out.printf( + " %8d ( %13.5E , %13.5E )\n", + i + 1, w[i].getRe(), w[i].getIm() + ); + } + } + + } + + public static class MYOPTION extends F02EK.Abstract_F02EK_OPTION { + + public void eval() { + F12AD f12ad = new F12AD(); + int ifail1; + String rec = " "; + + this.ISTAT = 0; + + if (this.IUSER[0] > 0) { + System.out.printf("Print Level=%5d\n", this.IUSER[0]); + ifail1 = 1; + f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[1] > 100) { + System.out.printf("Iteration Limit=%5d\n", this.IUSER[1]); + ifail1 = 1; + f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[2] > 0) { + ifail1 = 1; + f12ad.eval( + "Shifted Inverse Real ", this.ICOMM, this.COMM, ifail1 + ); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + } + + } + + public static class MYMONIT extends F02EK.Abstract_F02EK_MONIT { + + public NAGComplexInterface[] getW() { + return this.W; + } + + public void eval() { + + if (this.IUSER[3] > 0) { + + if (this.NITER == 1 && this.IUSER[2] > 0) { + System.out.printf( + " Arnoldi basis vectors used:%4d\n", this.NCV + ); + System.out.printf( + " The following Ritz values (mu) are related to the\n" + + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" + ); + } + + System.out.println(); + System.out.printf(" Iteration number %4d\n", this.NITER); + System.out.printf( + " Ritz values converged so far (%4d) and their Ritz" + + " estimates:\n", this.NCONV + ); + + for (int i = 0; i < this.NCONV; i++) { + System.out.printf( + " %4d (%13.5E,%13.5E) %13.5E\n", + i + 1, this.W[i].getRe(), this.W[i].getIm(), + this.RZEST[i] + ); + } + + System.out.printf(" Next (unconverged) Ritz value:\n"); + + System.out.printf( + " %4d (%13.5E,%13.5E)\n", + this.NCONV + 1, this.W[NCONV].getRe(), this.W[NCONV].getIm() + ); + + } + + this.ISTAT = 0; + + } + + } + +} diff --git a/simple_examples/F02FKJE.java b/simple_examples/F02FKJE.java new file mode 100644 index 0000000..ecdac2e --- /dev/null +++ b/simple_examples/F02FKJE.java @@ -0,0 +1,230 @@ +import com.nag.routines.F02.F02FK; +import com.nag.routines.F12.F12FD; +import com.nag.routines.X04.X04AB; +import com.nag.routines.X04.X04CA; +import java.util.Arrays; + +/** + * F02FK example program text. + * @author joed + */ +public class F02FKJE { + + public static MYMONIT mymonit = new MYMONIT(); + public static MYOPTION myoption = new MYOPTION(); + + public static void main(String[] args) { + F02FK f02fk = new F02FK(); + X04AB x04ab = new X04AB(); + X04CA x04ca = new X04CA(); + double h2, sigma; + int iset = 1, ifail, imon, k, ldv, lo, maxit, mode, n, nconv, ncv, nev, + nnz, nx, outchn, prtlvl; + double[] a, dPrint, resid, v, w, ruser = new double[1]; + int[] icol, irow, iuser = new int[4]; + + + System.out.println(" F02FKJ Example Program Results"); + System.out.println(); + + nx = 20; + nev = 8; + ncv = 20; + sigma = 1.0; + + // Construct the matrix A in sparse form and store in A. + // The main diagonal of A is full and there are two subdiagonals of A: + // the first and the nx-th. + + n = nx * nx; + nnz = (3 * n) - (2 * nx); + a = new double[nnz]; + irow = new int[nnz]; + icol = new int[nnz]; + + // Zero out A. + Arrays.fill(a, 0.0); + + // Main diagonal of A. + h2 = 1.0 / (double)((nx + 1) * (nx + 1)); + for (int i = 1; i <= n; i++) { + irow[i - 1] = i; + icol[i - 1] = i; + a[i - 1] = 4.0 / h2; + } + + // First subdiagonal of A. + k = n; + for (int i = 1; i <= nx; i++) { + lo = (i - 1) * nx; + for (int j = lo + 1; j <= lo + nx - 1; j++) { + k += 1; + irow[k - 1] = j + 1; + icol[k - 1] = j; + a[k - 1] = -1.0 / h2; + } + } + + // nx-th subdiagonal. + for (int i = 1; i <= nx - 1; i++) { + lo = (i - 1) * nx; + for (int j = lo + 1; j <= lo + nx; j++) { + k += 1; + irow[k - 1] = j + nx; + icol[k - 1] = j; + a[k - 1] = -1.0 / h2; + } + } + + // Set some options via iuser array and routine argument OPTION. + // iuser[0] = print level, + // iuser[1] = iteration limit, + // iuser[2]>0 means shifted-invert mode + // iuser[3]>0 means print monitoring info + + prtlvl = 0; + maxit = 500; + mode = 1; + imon = 0; + + ruser[0] = 1.0; + iuser[0] = prtlvl; + iuser[1] = maxit; + iuser[2] = mode; + iuser[3] = imon; + + // Find eigenvalues of largest magnitude and the corresponding + // eigenvectors. + + ldv = n; + w = new double[ncv]; + v = new double[ldv * ncv]; + resid = new double[n]; + + nconv = 0; // placeholder + + ifail = -1; + f02fk.eval( + n, nnz, a, irow, icol, nev, ncv, sigma, mymonit, myoption, nconv, + w, v, ldv, resid, iuser, ruser, ifail + ); + ifail = f02fk.getIFAIL(); + nconv = f02fk.getNCONV(); + if (ifail != 0) { + System.err.println(" ** F02FK returned with IFAIL = " + ifail); + } + + + + // Print Eigenvalues and the residual norm ||A*x - lambda*x||. + dPrint = new double[nconv * 2]; + for (int i = 1; i <= nconv; i++) { + dPrint[getIdx(i, 1, nconv)] = w[i - 1]; + dPrint[getIdx(i, 2, nconv)] = resid[i - 1]; + } + + System.out.println(); + + ifail = 0; + x04ca.eval( + "G", "N", nconv, 2, dPrint, nconv, " Ritz values and residuals", + ifail + ); + + } + + public static class MYOPTION extends F02FK.Abstract_F02FK_OPTION { + + public void eval() { + F12FD f12fd = new F12FD(); + int ifail1; + String rec = " "; // Required len = 25 + + this.ISTAT = 0; + + if (this.IUSER[0] > 0) { + System.out.printf(" Print Level=%5d\n", this.IUSER[0]); + ifail1 = 1; + f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12fd.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[1] > 100) { + System.out.printf(" Iteration Limit=%5d\n", this.IUSER[1]); + ifail1 = 1; + f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12fd.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[2] > 0) { + ifail1 = 1; + f12fd.eval( + "Shifted Inverse ", this.ICOMM, this.COMM, ifail1 + ); + ifail1 = f12fd.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + } + + } + + public static class MYMONIT extends F02FK.Abstract_F02FK_MONIT { + + public void eval() { + + if (this.IUSER[3] > 0) { + + if (this.NITER == 1 && this.IUSER[2] > 0) { + System.out.printf( + " Arnoldi basis vectors used:%4d\n", this.NCV + ); + System.out.printf( + " The following Ritz values (mu) are related to the\n" + + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" + ); + } + + System.out.println(); + System.out.printf(" Iteration number %4d\n", this.NITER); + System.out.printf( + " Ritz values converged so far(%4d) and their Ritz" + + " estimates:\n", this.NCONV + ); + + for (int i = 0; i < this.NCONV; i++) { + System.out.printf( + " %4d %13.5E %13.5E\n", i+1, this.W[i], this.RZEST[i] + ); + } + + System.out.printf(" Next (uncoverged) Ritz value:\n"); + System.out.printf( + " %4d %13.5E\n", this.NCONV + 1, this.W[this.NCONV + 1] + ); + + } + + this.ISTAT = 0; + + } + + } + + /** + * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based + * Java index. + * + *

    Fortran array definition: + * a(dimX, *) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + +} diff --git a/simple_examples/F02WGJE.java b/simple_examples/F02WGJE.java new file mode 100644 index 0000000..5e077cb --- /dev/null +++ b/simple_examples/F02WGJE.java @@ -0,0 +1,132 @@ +import com.nag.routines.F02.F02WG; +import java.util.Arrays; + +/** + * F02WG example program text. + * @author joed + */ +public class F02WGJE { + + public static AV av = new AV(); + + public static void main(String[] args) { + int ifail, k, ldu, ldv, m, n, nconv, ncv; + double[] resid, sigma, u, v; + double[] ruser = new double[1]; + int[] iuser = new int[1]; + + /* Set up wrappers */ + F02WG f02wg = new F02WG(); + + System.out.println(" F02WGJ Example Program Results\n"); + + /* Set F02WG args */ + m = 100; + n = 500; + k = 4; + ncv = 10; + nconv = 0; + ldu = m; + ldv = n; + resid = new double[ncv]; + sigma = new double[ncv]; + u = new double[ldu * ncv]; + v = new double[ldv * ncv]; + ifail = 0; + + /* Call routine */ + f02wg.eval( + m, // Rows in A + n, // Cols in A + k, // Num. of singular values to be computed + ncv, // Dimension of sigma and resid + av, // Subroutine that returns Ax or (A^T)x + nconv, // [Output] + sigma, // [Output] + u, // [Output] + ldu, // 1st dimension of u + v, // [Output] + ldv, // 1st dimension of v + resid, // [Output] + iuser, + ruser, + ifail + ); + + /* Get non-array output args */ + ifail = f02wg.getIFAIL(); + nconv = f02wg.getNCONV(); + + /* Print results */ + System.out.println(" Singular Value Residual"); + for (int i = 0; i < nconv; i++) { + System.out.printf( + " %10.5f %10.2G\n", sigma[i], resid[i] + ); + } + + } + + public static class AV extends F02WG.Abstract_F02WG_AV { + + public void eval() { + + double H = 1.0 / ((double)(this.M + 1)); + double K = 1.0 / ((double)(this.N + 1)); + + if (this.IFLAG == 1) { + + for (int i = 0; i < this.M; i++) { + this.AX[i] = 0.0; + } + + double S = 0.0; + double T = 0.0; + + for (int j = 0; j < this.N; j++) { + T += K; + S = 0.0; + + for (int i = 0; i < Math.min(j+1, this.M); i++) { + S += H; + this.AX[i] += K * S * (T - 1.0) * this.X[j]; + } + for (int i = j + 1; i < this.M; i++) { + S += H; + this.AX[i] += K * T * (S - 1.0) * this.X[j]; + } + + } + + } + else { + + for (int i = 0; i < this.N; i++) { + this.AX[i] = 0.0; + } + + double S = 0.0; + double T = 0.0; + + for (int j = 0; j < this.N; j++) { + T += K; + S = 0.0; + + for (int i = 0; i < Math.min(j+1, this.M); i++) { + S += H; + this.AX[j] += K * S * (T - 1.0) * this.X[i]; + } + for (int i = j + 1; i < this.M; i++) { + S += H; + this.AX[j] += K * T * (S - 1.0) * this.X[i]; + } + + } + + } + + } + + } + +} diff --git a/simple_examples/F03BAJE.java b/simple_examples/F03BAJE.java new file mode 100644 index 0000000..673ddec --- /dev/null +++ b/simple_examples/F03BAJE.java @@ -0,0 +1,108 @@ +import com.nag.routines.F03.F03BA; +import com.nag.routines.F07.F07AD; +import com.nag.routines.X04.X04CA; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * F03BAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class F03BAJE{ + + /** + * F03BAJ example main program. + */ + public static void main(String[] args){ + double d = 0; + int id = 0, ifail, info = 0, lda = 0, n = 0; + double[] a; + int[] ipiv; + + //Should initialise values so java doesn't give any errors because of try/catch + a = new double[n]; + ipiv = new int[n]; + + System.out.println("F03BAJ Example Program Results"); + + //If file name not given print usage info + if(args.length != 1){ + F03BAJE.usage(); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[1]); + + lda = n; + + //reallocate with values from data file + a = new double[n * lda]; + ipiv = new int[n]; + + //read in matrix + for(int i = 0; i < n; i++){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < n; j++){ + a[i + (j * n)] = Double.parseDouble(sVal[j]); + } + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + F07AD f07ad = new F07AD(n, n, a, lda, ipiv, info); + f07ad.eval(); + + ifail = 0; + + //Print out matrix + System.out.println(); + X04CA x04ca = new X04CA("G", "N", n, n, a, lda, "Array A after factorization", ifail); + x04ca.eval(); + + System.out.println(); + System.out.println("Pivots"); + for(int i = 0; i < n; i++){ + System.out.printf("\t%d ", ipiv[i]); + } + System.out.printf("\n"); + System.out.println(); + + ifail = 0; + + F03BA f03ba = new F03BA(n, a, lda, ipiv, d, id, ifail); + f03ba.eval(); + d = f03ba.getD(); + id = f03ba.getID(); + + System.out.printf("D = \t%.5f ID = \t%d\n", d, id); + System.out.println(); + System.out.printf("Value of determinant = %.5e\n", d * Math.pow(2.0, id)); + + } + + /** + * Print usage information. + */ + private static void usage(){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + +} + diff --git a/simple_examples/F04AMJE.java b/simple_examples/F04AMJE.java new file mode 100644 index 0000000..a498b2b --- /dev/null +++ b/simple_examples/F04AMJE.java @@ -0,0 +1,114 @@ +import com.nag.routines.F04.F04AM; +import com.nag.routines.X02.X02AJ; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * F04AMJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class F04AMJE{ + + /** + * F04AMJ example main program. + */ + public static void main(String[] args){ + int m = 0, n = 0; + int ifail, ir, lda, ldb, ldqr, ldx; + double eps; + double[] a, b, alpha, e, qr, r, x, y, z; + int[] ipiv; + + System.out.println("F04AMJ Example Program Results"); + + if(args.length != 1){ + F04AMJE.usage(); + } + + //declare so try/catch works + a = new double[0]; + b = new double[0]; + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + m = Integer.parseInt(sVal[1]); + n = Integer.parseInt(sVal[2]); + + a = new double[m * n]; + b = new double[m * 1]; + + for(int i = 0; i < m; i++){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < n; j++){ + a[i + (j * m) ] = Double.parseDouble(sVal[j]); + } + for(int j = n; j < m; j++){ + b[i + (j * (m - (n + 1)))] = Double.parseDouble(sVal[j]); + } + } + } + catch(FileNotFoundException err){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException err){ + System.err.println("***FATAL: Can't read " + filename + "\n" + err.getMessage()); + } + //Setting these in try block is more robust but less neat + //May be needed for array sizes~ + ir = 1; + lda = m; + ldb = m; + ldqr = m; + ldx = n; + + alpha = new double[n]; + e = new double[n]; + qr = new double[ldqr * n]; + r = new double[m]; + x = new double[ldx * ir]; + y = new double[n]; + z = new double[n]; + ipiv = new int[n]; + + X02AJ x02aj = new X02AJ(); + eps = x02aj.eval(); + + ifail = 0; + + F04AM f04am = new F04AM(a, lda, x, ldx, b, ldb, m, n, ir, eps, qr, ldqr, alpha, e, y, z, r, ipiv, ifail); + f04am.eval(); + //update any values you want here + x = f04am.getX(); + + System.out.println("Solution"); + for(int i = 0; i < n; i++){ + for(int j = 0; j < ir; j++){ + System.out.printf("%.4f ", x[j + (i * ir)]); + } + System.out.printf("\n"); + } + } + + /** + * No arguments supplied when example runs + */ + private static void usage() { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} + + + + + + diff --git a/simple_examples/F04BAJE.java b/simple_examples/F04BAJE.java new file mode 100644 index 0000000..79c2b01 --- /dev/null +++ b/simple_examples/F04BAJE.java @@ -0,0 +1,144 @@ +import com.nag.routines.F04.F04BA; +import com.nag.routines.X04.X04CA; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * F04BAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class F04BAJE{ + + /** + * F04BAJ example main program. + */ + public static void main(String[] args){ + int n = 0, nrhs = 0, lda = 0, ldb = 0; //placeholder + int ierr, ifail; + double errbnd, rcond; + double a[], b[]; + int ipiv[]; + + a = new double[0]; b = new double[0]; //placeholder + + if(args.length != 1){ + F04BAJE.usage(); + } + + System.out.println("F04BAJ Example Program Results"); + System.out.println(); + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[1]); + nrhs = Integer.parseInt(sVal[2]); + + lda = n; + ldb = n; + + a = new double[lda * n]; + b = new double[ldb * nrhs]; + + line = reader.readLine(); + for(int i = 0; i < lda; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < n; j++){ + a[i + (j * n)] = Double.parseDouble(sVal[j + 1]); + } + } + + line = reader.readLine(); + for(int i = 0; i < ldb; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < nrhs; j++){ + b[i + (j * n)] = Double.parseDouble(sVal[j + 1]); + } + } + + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = 1; + ipiv = new int[n]; + rcond = 0; + errbnd = 0; + F04BA f04ba = new F04BA(n, nrhs, a, lda, ipiv, b, ldb, rcond, errbnd, ifail); + f04ba.eval(); + + ifail = f04ba.getIFAIL(); + rcond = f04ba.getRCOND(); + errbnd = f04ba.getERRBND(); + ipiv = f04ba.getIPIV(); + a = f04ba.getA(); + b = f04ba.getB(); + + if(ifail == 0){ + //Print solution, estimate of condition number and approximate error bound. + ierr = 0; + X04CA x04ca = new X04CA("General", " ", n, nrhs, b, ldb, "Solution", ierr); + x04ca.eval(); + + System.out.println(); + System.out.println("Estimate of condition number"); + System.out.printf("%.1e\n", 1/rcond); + System.out.println(); + System.out.println("Esttimate of error bound for computed solutions"); + System.out.printf("%.1e\n", errbnd); + } + else if(ifail == (n + 1)){ + //Matrix A is numerically singular. Print estimate of reciprocal of condition number and solution. + System.out.println(); + System.out.println("Estimate of reciprocal of condition number"); + System.out.printf("%.1e\n", rcond); + System.out.println(); + + ierr = 0; + X04CA x04ca = new X04CA("General", " ", n, nrhs, b, ldb, "Solution", ierr); + x04ca.eval(); + } + else if(ifail > 0 && ifail <= n){ + //The upper triangular matrix U is exactly singular. Print details of factorization. + System.out.println(); + + ierr = 0; + X04CA x04ca = new X04CA("General", " ", n, n, a, lda, "Details of factorization", ierr); + x04ca.eval(); + + System.out.println(); + System.out.println("Pivot indices"); + for(int i = 0; i < n; i++){ + System.out.printf("%d ", ipiv[i]); + } + System.out.printf("\n"); + } + else{ + System.out.printf(" ** F04BAF returned with IFAIL = %d\n", ifail); + } + + } + + /** + * No arguments supplied when example runs + */ + private static void usage() { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} diff --git a/simple_examples/F05AAJE.java b/simple_examples/F05AAJE.java new file mode 100644 index 0000000..317c269 --- /dev/null +++ b/simple_examples/F05AAJE.java @@ -0,0 +1,99 @@ +import com.nag.routines.F05.F05AA; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * F05AAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class F05AAJE{ + + /** + * F05AAJ example main program. + */ + public static void main(String[] args) { + //Should initialise values to avoid issues with try/catch + int icol = 0, ifail = 0, lda = 0, m = 0, n1 = 0, n2 = 0; + double cc = 0; + double[] a, s; + + //same as ints + a = new double[1]; + s = new double[1]; + System.out.println("F05AAJ Example Program Results"); + System.out.println(); + + //supply data + if(args.length != 1){ + F05AAJE.usage(); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+");; + m = Integer.parseInt(sVal[1]); + n1 = Integer.parseInt(sVal[2]); + n2 = Integer.parseInt(sVal[3]); + lda = m; + + a = new double[lda*n2]; + s = new double[n2]; + + //read in a from data + for(int i = 0; i < n2; i++){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < m; j++){ + a[i + (j * n2)] = Double.parseDouble(sVal[j]); + } + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + //create object then eval + F05AA f05aa = new F05AA(a, lda, m, n1, n2, s, cc, icol, ifail); + f05aa.eval(); + + //update values + n1 = f05aa.getN1(); + n2 = f05aa.getN2(); + cc = f05aa.getCC(); + icol = f05aa.getICOL(); + a = f05aa.getA(); + + System.out.printf("N1 = %d N2 = %d\n", n1, n2); + System.out.println(); + System.out.printf("CC = %.4f ICOL = %d\n", cc, icol); + System.out.println(); + System.out.println("Final Vectors"); + + for(int i = 0; i < n2; i++){ + for(int j = 1; j < m; j++){ + System.out.printf("%.4f ", a[i +(j * n2)]); + } + System.out.printf("\n"); + } + } + + /** + * Print usage information. + */ + private static void usage(){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} + diff --git a/simple_examples/F06CLJE.java b/simple_examples/F06CLJE.java new file mode 100644 index 0000000..ca2ac5e --- /dev/null +++ b/simple_examples/F06CLJE.java @@ -0,0 +1,40 @@ +import com.nag.routines.F06.F06CL; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +/** + * F06CL example program text. + * @author ludovic + */ +public class F06CLJE { + + public static void main(String[] args) { + boolean fail = false; + NAGComplex z1 = new NAGComplex(); + NAGComplex z2 = new NAGComplex(); + NAGComplex z3 = new NAGComplex(); + + System.out.println(" F06CLJ Example Program Results"); + System.out.println(); + + Routine.complex = z1; + + z1.setRe(1.0); + z1.setIm(1.0); + z2.setRe(2.0); + z2.setIm(2.0); + + F06CL f06cl = new F06CL(z1,z2,fail); + z3 = (NAGComplex)f06cl.eval(); + fail = f06cl.getFAIL(); + + if (fail) { + System.err.println(" Something went wrong..."); + } + else { + System.out.println(" " + z1.toString() + "/"+ z2.toString() + " = " + z3.toString()); + } + + } + +} diff --git a/simple_examples/F07AAJE.java b/simple_examples/F07AAJE.java new file mode 100644 index 0000000..26eb5dc --- /dev/null +++ b/simple_examples/F07AAJE.java @@ -0,0 +1,90 @@ +import com.nag.routines.F07.F07AA; +import com.nag.routines.X04.X04CA; +import java.util.Arrays; + +/** + * F07AA example program text. + * @author joed + */ +public class F07AAJE { + + public static void main(String[] args) { + + int i, ifail, info, lda, ldb, n; + double[] a, b; + int[] ipiv; + + System.out.println(" F07AAJ Example Program Results"); + System.out.println(); + + n = 4; + lda = n; + ldb = n; + + a = new double[n*n]; + b = new double[n]; + ipiv = new int[n]; + + a[0+0*n] = 1.80; + a[0+1*n] = 2.88; + a[0+2*n] = 2.05; + a[0+3*n] = -0.89; + a[1+0*n] = 5.25; + a[1+1*n] = -2.95; + a[1+2*n] = -0.95; + a[1+3*n] = -3.80; + a[2+0*n] = 1.58; + a[2+1*n] = -2.69; + a[2+2*n] = -2.90; + a[2+3*n] = -1.04; + a[3+0*n] = -1.11; + a[3+1*n] = -0.66; + a[3+2*n] = -0.59; + a[3+3*n] = 0.80; + + b[0] = 9.52; + b[1] = 24.35; + b[2] = 0.77; + b[3] = -6.22; + + /* Solve the equations Ax = b for x */ + + F07AA f07aa = new F07AA(); + info = 0; + f07aa.eval(n, 1, a, lda, ipiv, b, ldb, info); + info = f07aa.getINFO(); + + if (info == 0) { + + /* Print solution */ + + System.out.println(" Solution"); + for (i = 0; i < n; i++) { + System.out.printf(" %11.4f", b[i]); + } + System.out.printf("\n"); + + /* Print details of factorization */ + + System.out.println(); + X04CA x04ca = new X04CA(); + ifail = 0; + x04ca.eval("General", " ", n, n, a, lda, "Details of factorization", ifail); + + /* Print pivot indices */ + + System.out.println(); + System.out.println(" Pivot indices"); + for (i = 0; i < n; i++) { + System.out.printf(" %11d", ipiv[i]); + } + System.out.printf("\n"); + + } + else { + System.err.printf(" The (%3d,%3d) element of the factor U is zero\n", info, info); + } + + } + +} diff --git a/simple_examples/F07ABJE.java b/simple_examples/F07ABJE.java new file mode 100644 index 0000000..6362739 --- /dev/null +++ b/simple_examples/F07ABJE.java @@ -0,0 +1,134 @@ +import com.nag.routines.F07.DGESVX; +import com.nag.routines.X04.X04CA; + +/** + * F07ABJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class F07ABJE{ + + /** + * F07ABJ example main program + */ + public static void main(String[] args){ + double rcond = 0; + int ifail, info = 0, lda, ldaf, ldb, ldx, n, nrhs; //placeholders + String equed; + double[] a, af, b, berr, c, ferr, r, work, x; + int[] ipiv, iwork; + + System.out.println("F07ABJ Example Program Results"); + System.out.println(); + + //Problem size + n = 4; + nrhs = 2; + lda = n; + ldaf = n; + ldb = n; + ldx = n; + + //Allocate + a = new double[lda * n]; + af = new double[ldaf * n]; + b = new double[ldb * nrhs]; + berr = new double[nrhs]; + c = new double[n]; + ferr = new double[nrhs]; + r = new double[n]; + work = new double[4 * n]; + x = new double[ldx * nrhs]; + ipiv = new int[n]; + iwork = new int[n]; + equed = " "; + + //Matrices A and B + a[0] = 1.8; + a[1] = 525; + a[2] = 1.58; + a[3] = -1.11; + a[4] = 2.88; + a[5] = -295; + a[6] = -2.69; + a[7] = -0.66; + a[8] = 2.05; + a[9] = -95; + a[10] = -2.9; + a[11] = -0.59; + a[12] = -0.89; + a[13] = -380; + a[14] = -1.04; + a[15] = 0.8; + b[0] = 9.52; + b[1] = 2435; + b[2] = 0.77; + b[3] = -6.22; + b[4] = 18.47; + b[5] = 225; + b[6] = -13.28; + b[7] = -6.21; + + //Solve the equations AX = B for X + //The NAG name equivalent of dgesvx is f07abf + DGESVX dgesvx = new DGESVX("Equilibration", "No Transpose", n, nrhs, a, lda, af, ldaf, ipiv, equed, r, + c, b, ldb, x, ldx, rcond, ferr, berr, work, iwork, info); + dgesvx.eval(); + + //Update + info = dgesvx.getINFO(); + equed = dgesvx.getEQUED(); + rcond = dgesvx.getRCOND(); + + if(info == 0 || info == n + 1){ + //Print solution, error bounds, condition number, the form of equilibration and the pivot growth factor + + //ifail: behaviour on error exit + // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft + ifail = 0; + X04CA x04ca = new X04CA("General", " ", n, nrhs, x, ldx, "Solution(s)", ifail); + x04ca.eval(); + + System.out.println(); + System.out.println("Backward errors (machine-dependent)"); + for(int i = 0; i < nrhs; i++){ + System.out.printf(" %.1e ", berr[i]); + } + System.out.println(); + System.out.println(); + System.out.println("Estimated forward error bounds (machine-dependent)"); + for(int i = 0; i < nrhs; i++){ + System.out.printf(" %.1e ", ferr[i]); + } + System.out.println(); + System.out.println(); + if(equed.equals("N")){ + System.out.println("A has not been equilibrated"); + } + else if(equed.equals("R")){ + System.out.println("A has been row scaled as diag(R)*A"); + } + else if(equed.equals("C")){ + System.out.println("A has been column scaled as A*diag(C)"); + } + else if(equed.equals("B")){ + System.out.println("A has been row and column scaled as diag(R)*A*diag(C)"); + } + System.out.println(); + System.out.println("Reciprocal condition number estimate of scaled matrix"); + System.out.printf(" %.1e\n", rcond); + System.out.println(); + System.out.println("Estimate of reciprocal pivot growth factor"); + System.out.printf(" %.1e\n", work[0]); + System.out.println(); + + if(info == n + 1){ + System.out.println(); + System.out.println("The matrix A is singular to working precision"); + } + } + else{ + System.out.println("The (" + info + ", " + info + ")" + " element of the factor U is zero"); + } + } +} diff --git a/simple_examples/F07ADJE.java b/simple_examples/F07ADJE.java new file mode 100644 index 0000000..4450683 --- /dev/null +++ b/simple_examples/F07ADJE.java @@ -0,0 +1,72 @@ +import com.nag.routines.F07.DGETRF; +import com.nag.routines.X04.X04CA; + +/** + * F07ADJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class F07ADJE{ + + /** + * F07ADJ Example main program + */ + public static void main(String[] args){ + int ifail, info = 0, lda, m, n; + double[] a; + int[] ipiv; + + System.out.println("F07ADJ Example Program Results"); + System.out.println(); + + //Problem size (can be read from data file) + m = 4; + n = 4; + lda = m; + + //Data + ipiv = new int[n]; + a = new double[m * n]; + a[0] = 1.8; + a[1] = 5.25; + a[2] = 1.58; + a[3] = -1.11; + a[4] = 2.88; + a[5] = -2.95; + a[6] = -2.69; + a[7] = -0.66; + a[8] = 2.05; + a[9] = -0.95; + a[10] = -2.9; + a[11] = -0.59; + a[12] = -0.89; + a[13] = -3.8; + a[14] = -1.04; + a[15] = 0.8; + + //Factorize A + //The NAG name equivalent of dgetrf is F07ADF + DGETRF dgetrf = new DGETRF(m, n, a, lda, ipiv, info); + dgetrf.eval(); + + //Update + info = dgetrf.getINFO(); + + //ifail: behaviour on error exit + // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft + ifail = 0; + X04CA x04ca = new X04CA("General", " ", m, n, a, lda, "Details of factorization", ifail); + x04ca.eval(); + + //Print pivot indices + System.out.println("IPIV"); + for(int i = 0; i < Math.min(m, n); i++){ + System.out.printf("\t%d", ipiv[i]); + } + System.out.println(); + + if(info != 0){ + System.out.println("The factor U is singular"); + } + } +} diff --git a/simple_examples/F07AQJE.java b/simple_examples/F07AQJE.java new file mode 100644 index 0000000..5ee47e5 --- /dev/null +++ b/simple_examples/F07AQJE.java @@ -0,0 +1,99 @@ +import com.nag.routines.F07.F07AQ; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; +import com.nag.types.NAGComplexF; + +/** + * F07AQ example program text. + * @author joed + * @since 27.1.0.0 + */ +public class F07AQJE { + + public static void main(String[] args) { + + F07AQ f07aq = new F07AQ(); + int info, iter, lda, ldb, ldx, n, r; + NAGComplex[] a, b, work, x; + NAGComplexF[] swork; + double[] rwork; + int[] ipiv; + + System.out.println(" F07AQJ Example Program Results"); + System.out.println(); + + // Set dimensions and instantiate arrays + n = 4; + r = 1; + lda = ldb = ldx = n; + a = new NAGComplex[lda*n]; + b = new NAGComplex[ldb*r]; + work = (NAGComplex[]) (new NAGComplex()).getArrayOfInstances(n*r); + x = (NAGComplex[]) (new NAGComplex()).getArrayOfInstances(ldx*r); + swork = (NAGComplexF[]) (new NAGComplexF()).getArrayOfInstances(n*(n+r)); + ipiv = new int[n]; + rwork = new double[n]; + + // Set A + a[0] = new NAGComplex(-1.34, 2.55); // Column 1 + a[1] = new NAGComplex(-0.17, -1.41); + a[2] = new NAGComplex(-3.29, -2.39); + a[3] = new NAGComplex(2.41, 0.39); + a[4] = new NAGComplex(0.28, 3.17); // Column 2 + a[5] = new NAGComplex(3.31, -0.15); + a[6] = new NAGComplex(-1.91, 4.42); + a[7] = new NAGComplex(-0.56, 1.47); + a[8] = new NAGComplex(-6.39, -2.20); // Column 3 + a[9] = new NAGComplex(-0.15, 1.34); + a[10] = new NAGComplex(-0.14, -1.35); + a[11] = new NAGComplex(-0.83, -0.69); + a[12] = new NAGComplex(0.72, -0.92); // Column 4 + a[13] = new NAGComplex(1.29, 1.38); + a[14] = new NAGComplex(1.72, 1.35); + a[15] = new NAGComplex(-1.96, 0.67); + + // Set B + b[0] = new NAGComplex(26.26,51.78); + b[1] = new NAGComplex( 6.43,-8.68); + b[2] = new NAGComplex(-5.75,25.31); + b[3] = new NAGComplex( 1.16, 2.57); + + // Notify wrappers of complex types + Routine.setComplex(new NAGComplex()); + Routine.setComplexF(new NAGComplexF()); + + // Solve the equations Ax = b for x + iter = info = 0; + f07aq.eval(n, r, a, lda, ipiv, b, ldb, x, ldx, work, swork, rwork, iter, info); + iter = f07aq.getITER(); + info = f07aq.getINFO(); + + if (info == 0) { + + // Print solution + + System.out.println(" Solution"); + for (int i = 0; i < n; i++) { + for (int j = 0; j < r; j++) { + System.out.printf(" (%7.4f,%7.4f)", x[j*n+i].getRe(), x[j*n+i].getIm()); + } + } + System.out.println(); + + // Print pivot indices + + System.out.println(); + System.out.println(" Pivot indices"); + for (int i = 0; i < n; i++) { + System.out.printf(" %11d", ipiv[i]); + } + System.out.println(); + + } + else { + System.out.printf(" The (%3d,%3d) element of the factor U is zero", info, iter); + } + + } + +} diff --git a/simple_examples/F07FAJE.java b/simple_examples/F07FAJE.java new file mode 100644 index 0000000..e516051 --- /dev/null +++ b/simple_examples/F07FAJE.java @@ -0,0 +1,79 @@ +import com.nag.routines.F07.F07FA; +import com.nag.routines.X04.X04CA; + +/** + * F07FA example program text. + * @author saraht + */ +public class F07FAJE { + + public static void main(String[] args) { + + int i, ifail, info, lda, n; + double[] a, b; + + System.out.println(" F07FAJ Example Program Results"); + System.out.println(); + + n = 4; + lda = n; + + a = new double[n*n]; + b = new double[n]; + + /* A = 4.16 -3.12 0.56 -0.10 + 5.03 -0.83 1.18 + 0.76 0.34 + 1.18 */ + + a[0+0*n] = 4.16; + a[0+1*n] = -3.12; + a[0+2*n] = 0.56; + a[0+3*n] = -0.10; + + a[1+1*n] = 5.03; + a[1+2*n] = -0.83; + a[1+3*n] = 1.18; + + a[2+2*n] = 0.76; + a[2+3*n] = 0.34; + + a[3+3*n] = 1.18; + + b[0] = 8.70; + b[1] = -13.35; + b[2] = 1.89; + b[3] = -4.14; + + /* Solve the equations Ax = b for x */ + + F07FA f07fa = new F07FA(); + info = 0; + f07fa.eval("Upper", n, 1, a, lda, b, n, info); + info = f07fa.getINFO(); + + if (info == 0) { + + /* Print solution */ + + System.out.println(" Solution"); + for (i = 0; i < n; i++) { + System.out.printf(" %11.4f", b[i]); + } + System.out.printf("\n"); + + /* Print details of factorization */ + + System.out.println(); + X04CA x04ca = new X04CA(); + ifail = 0; + x04ca.eval("Upper", "Non-unit diagonal", n, n, a, lda, "Cholesky factor U", ifail); + + } + else { + System.err.printf(" The leading minor of order %d is not positive definite \n", info); + } + + } + +} diff --git a/simple_examples/F07FBJE.java b/simple_examples/F07FBJE.java new file mode 100644 index 0000000..09bbd37 --- /dev/null +++ b/simple_examples/F07FBJE.java @@ -0,0 +1,122 @@ +import com.nag.routines.F07.F07FB; +import com.nag.routines.X04.X04CA; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * F07FB example program text. + * @author ludovic + */ +public class F07FBJE { + + public static void main(String[] args) { + String fact,uplo,equed; + int n, nrhs,lda,ldaf,ldb,ldx; + int[] iwork; + double rcond; + double[] a,af,s,b,x,ferr,berr,work; + int info,ifail; + lda = 4; + ldaf = lda; + ldb = lda; + ldx = lda; + nrhs = 2; + n = 4; + a = new double[lda*lda]; + af = new double[ldaf*ldaf]; + b = new double[ldb*nrhs]; + berr = new double[nrhs]; + ferr = new double[nrhs]; + s = new double[lda]; + work = new double[3*lda]; + x = new double[ldx*nrhs]; + iwork = new int[lda]; + info = 1; + rcond = Double.NaN; + fact = "E"; + uplo = "U"; + equed = "Z";//dummy value + /*A = 4.16 -3.12 0.56 -0.10 + 5.03 -0.83 1.18 + 0.76 0.34 + 1.18*/ + a[0] = 4.16; + + a[4] = -3.12; + a[5] = 5.03; + + a[8] = 0.56; + a[9] = -0.83; + a[10] = 0.76; + + a[12] = -0.10; + a[13] = 1.18; + a[14] = 0.34; + a[15] = 1.18; + + /*B= 8.70 8.30 + -13.35 2.13 + 1.89 1.61 + - 4.14 5.00*/ + b[0] = 8.70; + b[1] = -13.35; + b[2] = 1.89; + b[3] = -4.14; + + b[4] = 8.30; + b[5] = 2.13; + b[6] = 1.61; + b[7] = 5.00; + + System.out.println(" F07FBJ Example Program Results"); + System.out.println(); + + F07FB f07fb = new F07FB(fact, uplo, n, nrhs, a, lda, af, ldaf, equed, s, b, + ldb, x, ldx, rcond, ferr, berr, work, iwork, info); + f07fb.eval(); + fact = f07fb.getFACT(); + uplo = f07fb.getUPLO(); + equed = f07fb.getEQUED(); + rcond = f07fb.getRCOND(); + info = f07fb.getINFO(); + + + if ((info == 0) || (info == n+1)) { + ifail = 0; + (new X04CA()).eval("General"," ",n,nrhs,x,ldx,"Solution(s)",ifail); + System.out.println(); + System.out.println(" Backward errors (machine-dependent)"); + System.out.print(" "); + for (int ii = 0; ii < nrhs; ++ii) { + System.out.printf(" %11.1e",berr[ii]); + } + System.out.println("\n"); + System.out.println(" Estimated forward error bounds (machine-dependent)"); + System.out.print(" "); + for (int ii = 0; ii < nrhs; ++ii) { + System.out.printf(" %11.1e",ferr[ii]); + } + System.out.println("\n"); + System.out.println(" Estimate of reciprocal condition number"); + System.out.printf(" %11.1e\n",rcond); + System.out.println(); + if (equed.equalsIgnoreCase("N")) { + System.out.println(" A has not been equilibrated"); + } + else if (equed.equalsIgnoreCase("N")) { + System.out.println(" A has been row and column scaled as diag(S)*A*diag(S)"); + } + + if (info == n+1) { + System.out.println(); + System.out.println(" The matrix A is singular to working precision"); + } + + } + else { + System.out.printf(" The leading minor of order %3d is not positive definite\n"); + } + + } + +} diff --git a/simple_examples/F08BTJE.java b/simple_examples/F08BTJE.java new file mode 100644 index 0000000..43c219b --- /dev/null +++ b/simple_examples/F08BTJE.java @@ -0,0 +1,228 @@ +import static java.lang.Math.*; + +import com.nag.routines.F06.F06JJ; +import com.nag.routines.F06.F06ZJ; +import com.nag.routines.F08.F08AU; +import com.nag.routines.F08.F08BT; +import com.nag.routines.Routine; +import com.nag.routines.X04.X04DB; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.regex.Matcher; +import java.util.regex.Pattern; + +/** + * F08BT example program text. + * @author ludovic + */ +public class F08BTJE { + + public static void main(String[] args) throws FileNotFoundException, IOException { + int incl = 1, nb = 64; + double tol; + int ifail, info = 0, k, lda, ldb, lwork, m, n, nrhs; + NAGComplex[] a, b, tau, work; + double[] rnorm, rwork; + int[] jpvt; + String[] clabs = new String[]{" "}, rlabs = new String[]{" "}; + + // Setup complex constants + NAGComplex one = new NAGComplex(); + NAGComplex zero = new NAGComplex(); + one.setRe(1.0); + one.setIm(0.0); + zero.setRe(0.0); + zero.setIm(0.0); + + // Inform the Routine class of the type of complex in use - can use any complex object + Routine.complex = one; + + System.out.println(" F08BTJ Example Program Results"); + System.out.println(); + + // Read values from data file + BufferedReader br = new BufferedReader(new FileReader(args[0])); + String line = br.readLine(); + line = br.readLine().trim(); + line = br.readLine().trim(); + String[] vals = line.split("\\s+"); + m = Integer.parseInt(vals[0].trim()); + n = Integer.parseInt(vals[1].trim()); + nrhs = Integer.parseInt(vals[2].trim()); + lda = ldb = m; + lwork = (n + 1) * nb; + a = new NAGComplex[lda * n]; + b = new NAGComplex[ldb * nrhs]; + tau = new NAGComplex[n]; + work = new NAGComplex[lwork]; + rnorm = new double[nrhs]; + rwork = new double[2 * n]; + jpvt = new int[n]; + + // Actually initialize the complex arrays + for (int i = 0; i < a.length; ++i) { + a[i] = new NAGComplex(); + } + for (int i = 0; i < b.length; ++i) { + b[i] = new NAGComplex(); + } + for (int i = 0; i < tau.length; ++i) { + tau[i] = new NAGComplex(); + } + for (int i = 0; i < work.length; ++i) { + work[i] = new NAGComplex(); + } + + /* Read A and B from data file */ + + readCompMatrix(br, a, lda, n); + readCompMatrix(br, b, ldb, nrhs); + br.close(); + + /* Initialize JPVT to be zero so that all columns are free */ + + for (int i = 0; i < n; ++i) { + jpvt[i] = 0; + } + + /* Compute the QR factorization of A */ + + F08BT f08bt = new F08BT(m, n, a, lda, jpvt, tau, work, lwork, rwork, info); + f08bt.eval(); + + /* Compute C = (C1) = (Q**H)*B, storing the result in B (C2) */ + + String side = "Left"; + String conjTrans = "Conjugate Transpose"; + F08AU f08au = new F08AU(side, conjTrans, m, nrhs, n, a, lda, tau, b, ldb, work, lwork, info); + f08au.eval(); + a = (NAGComplex[])f08au.getA(); + + /* Choose TOL to reflect the relative accuracy of the input data */ + + tol = 0.01; + + /* Determine and print the rank, K, or R relative to TOL */ + + for (k = 1; k < n + 1; ++k) { + if (abs(a[k - 1 + lda * (k - 1)]) <= tol * abs(a[0])) { + break; + } + } + k = k - 1; + + System.out.println(" Tolerance used to estimate the rank of A"); + System.out.printf(" %11.2E\n", tol); + System.out.println(" Estimated rank of A"); + System.out.printf(" %8d\n", k); + + /* Compute least squares solutions by back-substitution in R(1:K,1:K)*Y = C1 + * storing the result in B */ + + String upDown = "Upper"; + String trans = "No transpose"; + String unit = "Non-Unit"; + F06ZJ f06zj = new F06ZJ(side, upDown, trans, unit, k, nrhs, one, a, lda, b, ldb); + f06zj.eval(); + + /* Compute estimates of the square roots of the residual sums of squares + * (2-norm of each of the columns of C2) */ + + int mMinusK = m - k; + NAGComplex[] btmp = new NAGComplex[b.length]; + for (int i = 0; i < btmp.length; ++i) { + btmp[i] = new NAGComplex(); + } + System.arraycopy(b, k, btmp, 0, b.length - k); + + F06JJ f06jj = new F06JJ(mMinusK, btmp, incl); + rnorm[0] = f06jj.eval(mMinusK, btmp, incl); + System.arraycopy(btmp, 0, b, k, b.length - k); + for (int j = 1; j < nrhs; ++j) { + System.arraycopy(b, k + j * ldb, btmp, 0, b.length - k - j * ldb); + rnorm[j] = f06jj.eval(mMinusK, btmp, incl); + System.arraycopy(btmp,0, b, k + j * ldb, b.length - k - j * ldb); + } + + /* Set the remaining elements of the solutions to zero (to give the + * basic solutions) */ + + for (int i = k; i < n; ++i) { + for (int j = 0; j < nrhs; ++j) { + NAGComplex tmp = new NAGComplex(); + tmp.setRe(0.0); + tmp.setIm(0.0); + b[i + j * ldb] = tmp; + } + } + + /* Permute the least squares solution stored in B to give X = P*Y */ + + for (int j = 0; j < nrhs; j++) { + for (int i = 0; i < n; i++) { + work[jpvt[i] - 1] = b[j*ldb + i]; + } + for (int i = 0; i < n; i++) { + b[j*ldb + i] = work[i]; + } + } + + /* Print least squares solutions */ + + X04DB x04db = new X04DB(); + ifail = 0; + x04db.eval("General"," ",n,nrhs,b,ldb,"Bracketed","F7.4","Least squares solution(s)", + "Integer",rlabs,"Integer",clabs,80,0,ifail); + + /* Print the square roots of the residual sums of squares */ + + System.out.println(); + System.out.println(" Square root(s) of the residual sum(s) of squares"); + System.out.printf(" "); + for (int i = 0; i < nrhs; ++i) { + System.out.printf("%11.2E", rnorm[i]); + } + System.out.println(); + + } + + private static void readCompMatrix(BufferedReader br, NAGComplex[] mat, int row, + int col) throws IOException { + + // matches one complex number (without the brackets...) + String complexPat = "\\(([,0-9\\.\\-\\+\\s]*)\\)"; + String fullPattern = complexPat; + for (int i = 0; i < col -1; ++i) { + fullPattern = fullPattern + "\\s*" + complexPat; + } + fullPattern = fullPattern + ".*"; + Pattern comppat = Pattern.compile(fullPattern); + + for (int i = 0; i < row; ++i) { + String line = br.readLine().trim(); + if (line.equalsIgnoreCase("")) { + line = br.readLine().trim(); + } + Matcher m = comppat.matcher(line.trim()); + if (m.matches()) { + for (int j = 0; j < col; ++j) { + String[] numbers = m.group(j + 1).trim().split(","); + mat[i + j * row].setRe(Double.parseDouble(numbers[0].trim())); + mat[i + j * row].setIm(Double.parseDouble(numbers[1].trim())); + // System.out.print("mat["+i+","+j+"]=("+numbers[0].trim()+","+numbers[1].trim()+") "); + } + // System.out.println(); + } + + + } + } + + private static double abs(NAGComplex z) { + return sqrt(z.getRe() * z.getRe() + z.getIm() * z.getIm()); + } + +} diff --git a/simple_examples/F08FAJE.java b/simple_examples/F08FAJE.java new file mode 100644 index 0000000..028f854 --- /dev/null +++ b/simple_examples/F08FAJE.java @@ -0,0 +1,113 @@ +import com.nag.routines.F08.DDISNA; +import com.nag.routines.F08.F08FA; +import com.nag.routines.F16.F16JQ; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X04.X04CA; +import java.util.Arrays; +import java.util.logging.Level; +import java.util.logging.Logger; + + +/** + * F08FA example program text. + * @author ludovic + */ +public class F08FAJE { + + public static void main(String[] args) { + int n = 4, LWork = n*64, lda = n; + double[] a, w, work,zerrbd,rcondz, colVector; + int info = 0, ifail = 0, k = 0; + a = new double[n * n]; + w = new double[n]; + work = new double[LWork]; + zerrbd = new double[n]; + rcondz = new double[n]; + colVector = new double[n]; + + System.out.println(" F08FAJ Example Program Results\n"); + + //array a : Stored in column major way + + a[0] = 1.0; + a[1] = 2.0; + a[2] = 3.0; + a[3] = 4.0; + + a[4] = 2.0; + a[5] = 2.0; + a[6] = 3.0; + a[7] = 4.0; + + a[8] = 3.0; + a[9] = 3.0; + a[10] = 3.0; + a[11] = 4.0; + + a[12] = 4.0; + a[13] = 4.0; + a[14] = 4.0; + a[15] = 4.0; + + //initializing the info parameter + info = 0; + w[0] = Double.NaN; + w[1] = Double.NaN; + w[2] = Double.NaN; + w[3] = Double.NaN; + F08FA f08fa = new F08FA("V", "U", n, a, n, w, work, LWork, info); + f08fa.eval(); + info = f08fa.getINFO(); + + if (info == 0) { + System.out.println(" Eigenvalues"); + System.out.print(" "); + for (int i = 0; i < n; ++i) { + System.out.printf(" %8.4f",w[i]); + } + System.out.println(); + + // Normalize the eigenvectors: largest element positive + F16JQ f16jq = new F16JQ(); // aka blas_damax_val + for (int i = 0; i < n; i++) { + System.arraycopy(a, 4*i, colVector, 0, 4); // Form vector to evaluate + f16jq.eval(n, colVector, 1, k, 0.0); // Get index of largest (absolute) value + k = f16jq.getK() - 1; // Make index zero based + + // Invert sign of column if largest element is negative + if (a[(4*i)+k] < 0) { + for (int j = 0; j < n; j++) { + a[(4*i)+j] = (-1) * a[(4*i)+j]; + } + } + + } + + (new X04CA()).eval("General"," ",n,n,a,lda,"Eigenvectors",ifail); + + double eps = (new X02AJ()).eval(); + double eerrbd = eps*Math.max(Math.abs(w[0]),Math.abs(w[n-1])); + + (new DDISNA()).eval("Eigenvectors",n,n,w,rcondz,info); + for (int i = 0; i < n; ++i) { + zerrbd[i] = eerrbd/rcondz[i]; + } + + System.out.println(); + System.out.println(" Error estimate for the eigenvalues"); + System.out.printf(" %11.1e\n",eerrbd); + System.out.println(); + System.out.println(" Error estimates for the eigenvectors"); + for (int i = 0; i < n; ++i) { + System.out.printf(" %11.1e",zerrbd[i]); + } + System.out.println(); + + } + else { + System.out.printf(" Failure in DSYEV. INFO =%4d",info); + } + + } + +} diff --git a/simple_examples/F08XPJE.java b/simple_examples/F08XPJE.java new file mode 100644 index 0000000..cc894d3 --- /dev/null +++ b/simple_examples/F08XPJE.java @@ -0,0 +1,297 @@ +import com.nag.routines.F06.F06UA; +import com.nag.routines.F06.F06BN; +import com.nag.routines.F06.ZGEMM; +import com.nag.routines.F08.ZGGESX; +import com.nag.routines.M01.M01DA; +import com.nag.routines.M01.M01ED; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X04.X04DB; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * F08XPJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class F08XPJE{ + + public static boolean chkfac = false; + public static boolean prcond = false; + public static boolean prmat = false; + public static int nb = 64; + + /* + * F08XPJ Example main program + */ + public static void main(String[] args){ + NAGComplex alph, bet; + double abnorm, anorm, bnorm, eps, normd, norme, tol; + int ifail, info = 0, lda, ldb, ldc, ldd, lde, ldvsl, ldvsr, liwork, lwork, n, sdim = 0; + boolean factor; + NAGComplex[] a, alpha, b, beta, c, d, e, vsl, vsr, work, dummy; + double[] rconde, rcondv, rwork; + int[] idum, iwork; + boolean[] bwork; + String[] clabs, rlabs; + + //Placeholders + idum = new int[1]; + rconde = new double[2]; + rcondv = new double[2]; + dummy = NAGComplex.createArray(1); + + System.out.println("F08XPJ Example Program Results"); + System.out.println(); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + //Tell wrappers what time of complex type is going to be used + Routine.setComplex(new NAGComplex()); + + //n declared here for neater code but can be read in from data file + n = 4; + lda = n; + ldb = n; + ldc = n; + ldd = n; + lde = n; + ldvsl = n; + ldvsr = n; + + //Allocate + a = NAGComplex.createArray(lda * n); + alpha = NAGComplex.createArray(n); + b = NAGComplex.createArray(ldb * n); + beta = NAGComplex.createArray(n); + c = NAGComplex.createArray(ldc * n); + d = NAGComplex.createArray(ldd * n); + e = NAGComplex.createArray(lde * n); + vsl = NAGComplex.createArray(ldvsl * n); + vsr = NAGComplex.createArray(ldvsr * n); + rwork = new double[8 * n]; + bwork = new boolean[n]; + clabs = new String[1]; + clabs[0] = " "; + rlabs = new String[1]; + rlabs[0] = " "; + + //Use routine workspace query to get optimal workspace + lwork = -1; + liwork = -1; + //The NAG name equivalent of zggesx is f08xpf + selctg selctg1 = new selctg(); + ZGGESX zggesx = new ZGGESX("Vectors (left)", "Vectors (right)", "Sort", selctg1, "Both reciprocal condition numbers", + n, a, lda, b, ldb, sdim, alpha, beta, vsl, ldvsl, vsr, ldvsr, rconde, rcondv, dummy, lwork, + rwork, idum, liwork, bwork, info); + zggesx.eval(); + + //Make sure that there is a enough workspace for block size nb + lwork = Math.max((n * nb) + (n * n/2), (int) Math.rint(dummy[0].getRe())); + liwork = Math.max(n + 2, idum[0]); + work = NAGComplex.createArray(lwork); + iwork = new int[liwork]; + + //Read in matrices A and B + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); // skip header + line = reader.readLine(); //skip n (set manually for neater code) + String[] sVal; + + for(int i = 0; i < 2; i++){ + for(int j = 0; j < n; j++){ + line = reader.readLine(); + sVal = line.split("\\)"); + for(int k = 0; k < n; k++){ + if(i == 0){ + a[(k * n) + j] = parseComplex(sVal[k]); + } + else{ + b[(k * n) + j] = parseComplex(sVal[k]); + } + } + } + } + + } + catch(FileNotFoundException err){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException err){ + System.err.println("***FATAL: Can't read " + filename + "\n" + err.getMessage()); + } + + if(chkfac){ + for(int i = 0; i < a.length; i++){ + //Copy A and B into D and E respectively + d[i] = a[i]; + e[i] = b[i]; + } + } + + //Find the Forbenius norms of A and B + //The NAG name equivalent of the LAPACK auxiliary zlange is f06uaf + F06UA f06ua = new F06UA(); + anorm = f06ua.eval("Frobenius", n, n, a, lda, rwork); + bnorm = f06ua.eval("Frobenius", n, n, b, ldb, rwork); + + if(prmat){ + //Print matrices A and B + //ifail : behaviour on error exit + // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft + ifail = 0; + X04DB x04db = new X04DB("General", " ", n, n, a, lda, "Bracketed", "F8.4", "Matrix A", "Integer", + rlabs, "Integer", clabs, 80, 0, ifail); + x04db.eval(); + System.out.println(); + + ifail = 0; + x04db = new X04DB("General", " ", n, n, b, ldb, "Bracketed", "F8.4", "Matrix B", "Integer", + rlabs, "Integer", clabs, 80, 0, ifail); + x04db.eval(); + System.out.println(); + } + + factor = true; + //Find the generalized Schur form + //The NAG name equivalent of zggesx is f08xpf + zggesx = new ZGGESX("Vectors (left)", "Vectors (right)", "Sort", selctg1, "Both reciprocal condition numbers", + n, a, lda, b, ldb, sdim, alpha, beta, vsl, ldvsl, vsr, ldvsr, rconde, rcondv, work, lwork, + rwork, iwork, liwork, bwork, info); + zggesx.eval(); + + //update + sdim = zggesx.getSDIM(); + + if(info != 0 && info != (n + 2)){ + System.out.printf("Failure in ZGGESX. INFO = %d\n", info); + factor = false; + } + else if(chkfac){ + //Compute A - Q*S*Z^H from the factorization of (A,B) and store in matrix D + //The NAG name equivalent of zgemm is f06zaf + alph = new NAGComplex(1, 0); + bet = new NAGComplex(0, 0); + ZGEMM zgemm = new ZGEMM("N", "N", n, n, n, alph, vsl, ldvsl, a, lda, bet, c, ldc); + zgemm.eval(); + + alph = new NAGComplex(-1, 0); + bet = new NAGComplex(1, 0); + zgemm = new ZGEMM("N", "C", n, n, n, alph, c, ldc, vsr, ldvsr, bet, d, ldd); + zgemm.eval(); + + //Compute B - Q*T*Z^H from the factorization of (A,B) and store in matrix E + alph = new NAGComplex(1, 0); + bet = new NAGComplex(0, 0); + zgemm = new ZGEMM("N", "N", n, n, n, alph, vsl, ldvsl, b, ldb, bet, c, ldc); + zgemm.eval(); + + alph = new NAGComplex(-1, 0); + bet = new NAGComplex(1, 0); + zgemm = new ZGEMM("N", "C", n, n, n, alph, c, ldc, vsr, ldvsr, bet, e, lde); + zgemm.eval(); + + //Find norms of matrices D and E and warn if either is too large + f06ua = new F06UA("0", ldd, n, d, ldd, rwork); + normd = f06ua.eval(); + X02AJ x02aj = new X02AJ(); + if(normd > Math.pow(x02aj.eval(), 0.75)){ + System.out.println("Norm of A-(Q*S*Z^T) is much greater than 0."); + factor = false; + System.out.println("Schur factorization has failed"); + } + f06ua = new F06UA("0", lde, n, e, lde, rwork); + norme = f06ua.eval(); + if(norme > Math.pow(x02aj.eval(), 0.75)){ + System.out.println("Norm of B-(Q*T*Z^T is much greater than 0."); + factor = false; + } + } + + if(factor){ + //Print eigenvalue details + System.out.printf("Number of eigenvalues for which SELCTG is true = %d\n", sdim); + System.out.println("(dimension of deflating subspaces)"); + + System.out.println(); + //Print selected (finite) generalized eigenvalues + System.out.println("Selected generalized eigenvalues"); + + //Store absolute values of eigenvalues for ranking + for(int i = 0; i < n; i++){ + work[i] = alpha[i].divide(beta[i]); + rwork[i] = NAGComplex.abs(work[i]); + } + + //Rank eigenvalues + ifail = 0; + M01DA m01da = new M01DA(rwork, 1, sdim, "Descending", iwork, ifail); + m01da.eval(); + + //Sort eigevalues in work + M01ED m01ed = new M01ED(work, 1, sdim, iwork, ifail); + m01ed.eval(); + for(int i = 0; i < sdim; i++){ + System.out.printf(" %d\t(%.2f, %.2f)\n", i + 1, work[i].getRe(), work[i].getIm()); + } + + if(info == n + 2){ + System.out.println("*** note that rounding errors mean that leading eigenvalues in"); + System.out.println("the generalized Schur form no longer satisfy SELCTG = TRUE"); + System.out.println(); + } + + if(prcond){ + //Compute the machine precision and sqrt(anorm^2 + bnorm^2) + X02AJ x02aj = new X02AJ(); + eps = x02aj.eval(); + F06BN f06bn = new F06BN(anorm, bnorm); + abnorm = f06bn.eval(); + tol = eps * abnorm; + + //Print out the reciprocal condition numbers and error bound for selected eigenvalues + System.out.println("Reciprocal condition numbers for the average of the selected"); + System.out.println("eigenvalues and their asymptotic error bound"); + System.out.printf("rcond-left = %.1e, rcond-right = %.1e, error = %.1e\n", rcondv[0], rcondv[1], tol/rcondv[1]); + } + } + else{ + System.out.println("Schur factorization has failed"); + } + + } + + /** + * Converts String read in from data file to NAGComplex value. + * @param s + * Complex number string + * @return new NAGComplex representing s + */ + public static NAGComplex parseComplex(String s){ + s = s.trim(); + double re = Double.parseDouble(s.substring(1, 7)); + double im = Double.parseDouble(s.substring(8)); + return new NAGComplex(re, im); + } + + /** + * Class representing function selctg implementing ZGGESX_SELCTG to pass to ZGGESX. + */ + public static class selctg extends ZGGESX.Abstract_ZGGESX_SELCTG{ + public boolean eval(){ + return (NAGComplex.abs((NAGComplex)this.A) < (6 * NAGComplex.abs((NAGComplex)this.B))); + } + } + +} diff --git a/simple_examples/G01ALJE.java b/simple_examples/G01ALJE.java new file mode 100644 index 0000000..672a151 --- /dev/null +++ b/simple_examples/G01ALJE.java @@ -0,0 +1,55 @@ +import com.nag.routines.G01.G01AL; + +/** + * G01ALJ Example Program Text + * @author willa + * @since 27.1.0.0 + */ +public class G01ALJE{ + + /** + * G01ALJ Example main program + */ + public static void main(String[] args){ + int ifail, n; + double[] x, res; + int[] iwrk; + + res = new double[5]; + + System.out.println("G01ALJ Example Program Results"); + System.out.println(); + + //Problem size + n = 12; + + //Allocate + x = new double[n]; + iwrk = new int[n]; + + //Data + x[0] = 12; + x[1] = 9; + x[2] = 2; + x[3] = 5; + x[4] = 6; + x[5] = 8; + x[6] = 2; + x[7] = 7; + x[8] = 3; + x[9] = 1; + x[10] = 11; + x[11] = 10; + + //Calculate summary statistics + ifail = 0; + G01AL g01al = new G01AL(n, x, iwrk, res, ifail); + g01al.eval(); + + System.out.printf("Maximum %.4f\n", res[4]); + System.out.printf("Upper Hinge (75%% quantile) %.4f\n", res[3]); + System.out.printf("Median (50%% quantile) %.4f\n", res[2]); + System.out.printf("Lower Hinge (25%% quantile) %.4f\n", res[1]); + System.out.printf("Minimum %.4f\n", res[0]); + } +} diff --git a/simple_examples/G02AKJE.java b/simple_examples/G02AKJE.java new file mode 100644 index 0000000..8ddaff2 --- /dev/null +++ b/simple_examples/G02AKJE.java @@ -0,0 +1,68 @@ +import com.nag.routines.G02.G02AK; +import com.nag.routines.X04.X04CA; + +/** + * G02AK example program text. + * @author joed + * @since 27.0.0.0 + */ +public class G02AKJE { + + /** + * G02AKJ example main program. + */ + public static void main(String[] args) { + + G02AK g02ak = new G02AK(); + X04CA x04ca = new X04CA(); + double errtol, f, rankerr, ranktol; + int i, ifail, ldg, ldx, maxit, maxits, n, nsub, rank; + double[] g, x; + + System.out.println("G02AKJ Example Program Results\n"); + + // Problem size + n = 4; + ldg = n; + ldx = n; + + // Rank constraint + rank = 2; + + // Matrix G (column-major) + g = new double[]{ + 2.0, -1.0, 0.0, 0.0, + -1.0, 2.0, -1.0, 0.0, + 0.0, -1.0, 2.0, -1.0, + 0.0, 0.0, -1.0, 2.0 + }; + + // Use the defaults for errtol, ranktol, maxits, maxit + errtol = 0.0; + ranktol = 0.0; + maxits = 0; + maxit = 0; + + // Calculate rank constrained nearest correlation matrix + ifail = 0; + x = new double[ldx*n]; + f = 0.0; + rankerr = 0.0; + nsub = 0; + g02ak.eval(g, ldg, n, rank, errtol, ranktol, maxits, maxit, x, ldx, f, + rankerr, nsub, ifail); + nsub = g02ak.getNSUB(); + f = g02ak.getF(); + rankerr = g02ak.getRANKERR(); + + // Display results + ifail = 0; + x04ca.eval("General", " ", n, n, x, ldx, "NCM with rank constraint", ifail); + System.out.println(); + System.out.printf("Number of subproblems solved: %12d\n\n", nsub); + System.out.printf("Squared Frobenius norm of difference: %9.4f\n\n", f); + System.out.printf("Rank error: %35.4f\n", rankerr); + + } + +} diff --git a/simple_examples/G02BJJE.java b/simple_examples/G02BJJE.java new file mode 100644 index 0000000..3de843e --- /dev/null +++ b/simple_examples/G02BJJE.java @@ -0,0 +1,303 @@ +import com.nag.routines.G02.G02BJ; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * G02BJ example program text. + * @author ludovic + */ +public class G02BJJE { + + public static void main(String[] args) { + int i, ifail, ldcnt, ldr, ldssp, ldx, ncases = 0; //, m = 0, n = 0, nvars = 0; + double[] cnt, r, ssp, std, xbar;//, xmiss; + + if (args.length != 1) { + G02BJJE.usage(); + } + + String dataFile = args[0]; + DataHolder data = new DataHolder(); + readDataFile(dataFile, data); + System.out.println(" G02BJJ Example Program Results"); + System.out.println(); + + ldcnt = ldr = ldssp = data.nvars; + ldx = data.n; + cnt = new double[ldcnt * data.nvars]; + r = new double[ldr * data.nvars]; + ssp = new double[ldssp * data.nvars]; + std = new double[data.nvars]; + xbar = new double[data.nvars]; + + + //Display the data + + System.out.printf(" Number of variables (columns) = %5d\n", data.m); + System.out.printf(" Number of cases (rows) = %5d\n", data.n); + System.out.println(); + System.out.println(" Data matrix is:-"); + for (int ii = 0; ii < data.m; ++ii) { + System.out.printf(" %12d",ii+1); + } + System.out.println(); + for (int ii = 0; ii < data.n; ++ii) { + System.out.printf(" %3d ",ii+1); + for (int jj = 0; jj < data.m; ++jj) { + System.out.printf("%12.4f ",data.x[ii + jj * data.n]); + } + System.out.println(); + } + + ifail = 0; + G02BJ g02bj = new G02BJ(data.n, data.m, data.x, ldx, data.miss, data.xmiss, + data.nvars, data.kvar, xbar, std, ssp, ldssp, r, ldr, ncases, cnt, + ldcnt, ifail); + g02bj.eval(); + + data.n = g02bj.getN(); + data.m = g02bj.getM(); + data.x = g02bj.getX(); + ldx = g02bj.getLDX(); + data.miss = g02bj.getMISS(); + data.xmiss = g02bj.getXMISS(); + data.nvars = g02bj.getNVARS(); + data.kvar = g02bj.getKVAR(); + xbar = g02bj.getXBAR(); + std = g02bj.getSTD(); + ssp = g02bj.getSSP(); + ldssp = g02bj.getLDSSP(); + r = g02bj.getR(); + ldr = g02bj.getLDR(); + ncases = g02bj.getNCASES(); + cnt = g02bj.getCNT(); + ldcnt = g02bj.getLDCNT(); + ifail = g02bj.getIFAIL(); + + //Display results + System.out.println(); + System.out.println(" Variable\tMean\tSt.dev."); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %5d %11.4f %11.4f\n",data.kvar[ii], xbar[ii], std[ii]); + } + System.out.println(); + System.out.println(" Sums of squares and cross-products of deviations"); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %12d",data.kvar[ii]); + } + System.out.println(); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %3d",data.kvar[ii]); + for (int jj = 0; jj < data.nvars; ++jj) { + System.out.printf(" %12.4f",ssp[ii + ldssp * jj]); + } + System.out.println(); + } + System.out.println(); + System.out.println(" Correlation coefficients"); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %12d",data.kvar[ii]); + } + System.out.println(); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %3d",data.kvar[ii]); + for (int jj = 0; jj < data.nvars; ++jj) { + System.out.printf(" %12.4f",r[ii + ldr * jj]); + } + System.out.println(); + } + System.out.println(); + System.out.printf(" Minimum number of cases used for any pair of variables: %5d\n", ncases); + System.out.println(); + System.out.println(" Numbers used for each pair are:"); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %12d",data.kvar[ii]); + } + System.out.println(); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %3d",data.kvar[ii]); + for (int jj = 0; jj < data.nvars; ++jj) { + System.out.printf(" %12.4f",cnt[ii + ldcnt * jj]); + } + System.out.println(); + } + System.out.println(); + } + + private static void usage() { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + /** + G02BJF Example Program Data + 5 4 3 :: N, M, NVARS + 3.0 3.0 1.0 2.0 + 6.0 4.0 -1.0 4.0 + 9.0 0.0 5.0 9.0 + 12.0 2.0 0.0 0.0 + -1.0 5.0 4.0 12.0 :: End of X + 1 1 0 1 :: MISS + -1.0 0.0 0.0 0.0 :: XMISS + 4 1 2 :: KVAR + */ + private static void readDataFile(String filename, DataHolder data) { + try { + BufferedReader br = new BufferedReader(new FileReader(filename)); + String line = br.readLine(); // skip header + line = br.readLine(); + String[] sVal = line.split("\\s+"); + data.setN(Integer.parseInt(sVal[0])); + data.setM(Integer.parseInt(sVal[1])); + data.setNvars(Integer.parseInt(sVal[2])); + + data.x = new double[data.n * data.m]; + data.miss = new int[data.m]; + data.xmiss = new double[data.m]; + data.kvar = new int[data.nvars]; + + for (int i = 0; i < data.n; ++i) { + line = br.readLine().trim(); + sVal = line.split("\\s+"); + for (int j = 0; j < data.m; ++j) { + data.x[i + j * data.n] = Double.parseDouble(sVal[j]); + } + } + line = br.readLine().trim(); + sVal = line.split("\\s+"); + for (int j = 0; j < data.m; ++j) { + data.miss[j] = Integer.parseInt(sVal[j]); + } + line = br.readLine().trim(); + sVal = line.split("\\s+"); + for (int j = 0; j < data.m; ++j) { + data.xmiss[j] = Double.parseDouble(sVal[j]); + } + + line = br.readLine().trim(); + sVal = line.split("\\s+"); + for (int j = 0; j < data.nvars; ++j) { + data.kvar[j] = Integer.parseInt(sVal[j]); + } + } + catch (FileNotFoundException ex) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch (IOException ex) { + System.err.println("***FATAL: Can't Read " + filename + "\n" + ex.getMessage()); + System.exit(-3); + } + + } + + private static class DataHolder { + private int n; + private int m; + private int nvars; + private double[] x; + private int[] miss; + private double[] xmiss; + private int[] kvar; + + /** + * @return the n + */ + public int getN() { + return n; + } + + /** + * @param n the n to set + */ + public void setN(int n) { + this.n = n; + } + + /** + * @return the m + */ + public int getM() { + return m; + } + + /** + * @param m the m to set + */ + public void setM(int m) { + this.m = m; + } + + /** + * @return the nvars + */ + public int getNvars() { + return nvars; + } + + /** + * @param nvars the nvars to set + */ + public void setNvars(int nvars) { + this.nvars = nvars; + } + + /** + * @return the x + */ + public double[] getX() { + return x; + } + + /** + * @param x the x to set + */ + public void setX(double[] x) { + this.x = x; + } + + /** + * @return the miss + */ + public int[] getMiss() { + return miss; + } + + /** + * @param miss the miss to set + */ + public void setMiss(int[] miss) { + this.miss = miss; + } + + /** + * @return the xmiss + */ + public double[] getXmiss() { + return xmiss; + } + + /** + * @param xmiss the xmiss to set + */ + public void setXmiss(double[] xmiss) { + this.xmiss = xmiss; + } + + /** + * @return the kvar + */ + public int[] getKvar() { + return kvar; + } + + /** + * @param kvar the kvar to set + */ + public void setKvar(int[] kvar) { + this.kvar = kvar; + } + } +} diff --git a/simple_examples/G02BRJE.java b/simple_examples/G02BRJE.java new file mode 100644 index 0000000..084f478 --- /dev/null +++ b/simple_examples/G02BRJE.java @@ -0,0 +1,134 @@ +import com.nag.routines.G02.G02BR; + +/** + * G02BRJ Example Program Text + * @author willa + * @since 27.1.0.0 + */ +public class G02BRJE{ + + /** + * G02BRJ Example main program + */ + public static void main(String[] args){ + int ifail, itype, ldrr, ldx, m, n, ncases = 0; //placeholder + double[] rr, work1, work2, x, xmiss; + int[] incase, kworka, kworkb, kworkc, miss; + + System.out.println("G02BRJ Example Program Results"); + System.out.println(); + + //Problem size + n = 9; + m = 3; + itype = 0; + + ldrr = m; + ldx = n; + + //Allocate + rr = new double[ldrr * m]; + work1 = new double[n]; + work2 = new double[n]; + x = new double[ldx * m]; + xmiss = new double[m]; + incase = new int[n]; + kworka = new int[n]; + kworkb = new int[n]; + kworkc = new int[n]; + miss = new int[m]; + + //Data + //X = (1.70, 1.00, 0.50) + // (2.80, 4.00, 3.00) + // (0.60, 6.00, 2.50) + // (1.80, 9.00, 6.00) + // (0.99, 4.00, 2.50) + // (1.40, 2.00, 5.50) + // (1.80, 9.00, 7.50) + // (2.50, 7.00, 0.00) + // (0.99, 5.00, 3.00) + x[0] = 1.7; + x[1] = 2.8; + x[2] = 0.6; + x[3] = 1.8; + x[4] = 0.99; + x[5] = 1.4; + x[6] = 1.8; + x[7] = 2.5; + x[8] = 0.99; + x[9] = 1; + x[10] = 4; + x[11] = 6; + x[12] = 9; + x[13] = 4; + x[14] = 2; + x[15] = 9; + x[16] = 7; + x[17] = 5; + x[18] = 0.5; + x[19] = 3; + x[20] = 2.5; + x[21] = 6; + x[22] = 2.5; + x[23] = 5.5; + x[24] = 7.5; + x[25] = 0; + x[26] = 3; + + //Missing value flags + miss[0] = 1; + miss[1] = 0; + miss[2] = 1; + xmiss[0] = 0.99; + xmiss[1] = 0; + xmiss[2] = 0; + + //Display data + System.out.printf("Number of variables (columns) = %d\n", m); + System.out.printf("Number of case (rows) = %d\n", n); + System.out.println(); + System.out.println("Data matrix is:-\n"); + System.out.println(); + for(int i = 0; i < m; i++){ + System.out.printf("\t %d", i + 1); + } + System.out.println(); + for(int i = 0; i < n; i++){ + System.out.printf(" %d\t", i + 1); + for(int j = 0; j < m; j++){ + System.out.printf("%.4f\t", x[(j * n) + i]); + } + System.out.println(); + } + System.out.println(); + + //Calculate correlation coefficients + ifail = 0; + G02BR g02br = new G02BR(n, m, x, ldx, miss, xmiss, itype, rr, ldrr, ncases, incase, kworka, kworkb, kworkc, + work1, work2, ifail); + g02br.eval(); + + //Update + ncases = g02br.getNCASES(); + + //Display results + System.out.println("Matrix of rank correlation coefficients:"); + System.out.println("Upper triangle -- Spearman's"); + System.out.println("Lower triangle -- Kendall's tau"); + System.out.println(); + for(int i = 0; i < m; i++){ + System.out.printf("\t %d", i + 1); + } + System.out.println(); + for(int i = 0; i < m; i++){ + System.out.printf(" %d\t", i + 1); + for(int j = 0; j < m; j++){ + System.out.printf("%.4f\t", rr[(j * m) + i]); + } + System.out.println(); + } + System.out.println(); + System.out.printf("Number of cases actually used: %d\n", ncases); + } +} diff --git a/simple_examples/G02DAJE.java b/simple_examples/G02DAJE.java new file mode 100644 index 0000000..c390197 --- /dev/null +++ b/simple_examples/G02DAJE.java @@ -0,0 +1,187 @@ +import com.nag.routines.G02.G02BU; +import com.nag.routines.G02.G02DA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * G02DAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class G02DAJE{ + + /** + * G02DAJ Example main program + */ + public static void main(String[] args){ + double aic, arsq, en, mult, rsq, rss = 0, sw = 0, tol; + int idf = 0, ifail, ip, irank = 0, ldq, ldx, lwt, m, n; + boolean svd = false; + String mean, weight; + double[] b, cov, h, p, q, res, se, wk, wt, x, y, c, wmean; + int[] isx; + + System.out.println("G02DAJ Example Program Results"); + System.out.println(); + + c = new double[1]; + wmean = new double[1]; + + //Problem size (can be read in from data file + n = 12; + m = 4; + weight = "U"; + mean = "M"; + + if(weight.toLowerCase().equals("w")){ + lwt = n; + } + else{ + lwt = 0; + } + ldx = n; + + x = new double[ldx * m]; + y = new double[n]; + wt = new double[n]; + isx = new int[m]; + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + line = reader.readLine(); //skip n, m, weight, mean + + //Read in data + String[] sVal; + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < m; j++){ + x[(j * n) + i] = Double.parseDouble(sVal[j]); + } + y[i] = Double.parseDouble(sVal[m]); + if(lwt > 0){ + wt[i] = Double.parseDouble(sVal[m + 1]); + } + } + + //Read in variable inclusion flags + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int i = 0; i < m; i++){ + isx[i] = Integer.parseInt(sVal[i]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + System.exit(-2); + } + + //Calcluate IP + ip = 0; + for(int i = 0; i < m; i++){ + if(isx[i] == 1){ + ip++; + } + } + if(mean.toLowerCase().equals("m")){ + ip = ip + 1; + } + + //Allocate + ldq = n; + b = new double[ip]; + cov = new double[((ip * ip) + ip)/2]; + h = new double[n]; + p = new double[ip * ip * (ip + 2)]; + q = new double[ldq * (ip + 1)]; + res = new double[n]; + se = new double[ip]; + wk = new double[ip * ip + (5 * (ip - 1))]; + + //Use suggested value for tolerance + tol = 0.000001; + + //fit general linear regression model + ifail = -1; + G02DA g02da = new G02DA(mean, weight, n, x, ldx, m, isx, ip, y, wt, rss, idf, b, se, cov, res, h, q, + ldq, svd, irank, p, tol, wk, ifail); + g02da.eval(); + ifail = g02da.getIFAIL(); + if(ifail != 0){ + if(ifail != 5){ + System.exit(-3); + } + } + + //Calculate (weighted) total sums of squares, adjusted for mean if required + //If in G02DAF, an intercept is added to the regression by including a comlumn of + //1's in X, rather than by using the MEAN argument then MEAN = "M" should be used + //in this call to G02BUF + ifail = 0; + G02BU g02bu = new G02BU(mean, weight, n, 1, y, n, wt, sw, wmean, c, ifail); + g02bu.eval(); + + idf = g02da.getIDF(); + irank = g02da.getIRANK(); + //Get effective number of observations (=N if there are no zero weights) + en = (double) idf + irank; + + rss = g02da.getRSS(); + //Calculate R-squared, corrected R-Squared and AIC + rsq = 1 - rss/c[0]; + if(mean.toLowerCase().equals("m")){ + mult = (en - 1) / (en - irank); + } + else{ + mult = en / (en - irank); + } + arsq = 1 - mult * (1 - rsq); + aic = en * Math.log(rss/en) + (2 * irank); + + svd = g02da.getSVD(); + //Disply results + if(svd){ + System.out.printf("Model not of full rank, rank = %d", irank); + System.out.println(); + } + System.out.printf("Residual sum of squares = %.4e\n", rss); + System.out.printf("Degrees of freedom = %d\n", idf); + System.out.printf("R-squared = %.4e\n", rsq); + System.out.printf("Adjusted R-squared = %.4e\n", arsq); + System.out.printf("AIC = %.4e\n", aic); + System.out.println(); + System.out.printf("Variable\tParameter estimate\tStandard error\n"); + System.out.println(); + if(ifail == 0){ + for(int i = 0; i < ip; i++){ + System.out.printf(" %d\t\t %.4e\t\t %.4e\n", (i + 1), b[i], se[i]); + } + } + else{ + for(int i = 0; i < ip; i++){ + System.out.printf(" %d\t\t %.4e\n", (i + 1), b[i]); + } + } + System.out.println(); + System.out.printf(" Obs\t\t Residuals\t\t H\n"); + System.out.println(); + for(int i = 0; i < n; i++){ + System.out.printf(" %d\t\t %.4e\t\t %.4e\n", (i + 1), res[i], h[i]); + } + + } +} diff --git a/simple_examples/G02EEJE.java b/simple_examples/G02EEJE.java new file mode 100644 index 0000000..5856fde --- /dev/null +++ b/simple_examples/G02EEJE.java @@ -0,0 +1,184 @@ +import com.nag.routines.G02.G02EE; +import java.io.*; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * G02EE example program text. + */ +public class G02EEJE { + + public static void main(String[] args) throws Exception { + int vnlen = 3; + double chrss, f, fin, rss; + rss = chrss = f = Double.NaN; + int idf = 0, ifail = 0, ifr = 0, istep = 0, ldq, ldx, lwt, m, maxip, n, nterm = 0; + boolean addvar = false; + String mean, weight, newvar; + newvar = " "; + double[] exss, p, q, wk, wt, x, y; + int[] isx; + String[] free, model, vname; + + System.out.println(" G02EEJ Example Program Results\n"); + + BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); + + String line = dataIn.readLine(); + + String[] data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); + + n = Integer.parseInt(data[0]); + m = Integer.parseInt(data[1]); + mean = data[2].substring(1,2); + weight = data[3].substring(1,2); + fin = Double.parseDouble(data[4]); + + if (weight.equalsIgnoreCase("W")) { + lwt = n; + } + else { + lwt = 0; + } + ldx = n; + + x = new double[ldx*m]; + y = new double[n]; + wt = new double[lwt]; + isx = new int[m]; + vname = new String[m]; + + for (int i = 0; i < vname.length;++i) { + StringBuilder tmp = new StringBuilder(); + for (int j = 0; j < vnlen; ++j) { + tmp.append(" "); + } + vname[i] = tmp.toString(); + } + + if (lwt > 0) { + for (int i = 0; i < n; ++i) { + data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); + for (int j = 0; j < m; ++j) { + x[i+j*ldx] = Double.parseDouble(data[j]); + } + y[i] = Double.parseDouble(data[m]); + wt[i] = Double.parseDouble(data[m+1]); + } + } + else { + for (int i = 0; i < n; ++i) { + data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); + for (int j = 0; j < m; ++j) { + x[i+j*ldx] = Double.parseDouble(data[j]); + } + y[i] = Double.parseDouble(data[m]); + } + } + data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); + for (int i = 0; i < m; ++i) { + isx[i] = Integer.parseInt(data[i]); + } + + data = dataIn.readLine().trim().split("::")[0].trim() + .replaceAll("^'","").replaceAll("'$","").split("'\\s+'"); + for (int i = 0; i < m; ++i) { + vname[i] = data[i].substring(0,3); + } + + dataIn.close(); + + maxip = 0; + for (int i = 0; i < m; ++i) { + if (isx[i] > 0) { + ++maxip; + } + } + + if (mean.equalsIgnoreCase("M")) { + maxip += 1; + } + + ldq = n; + model = new String[maxip]; + free = new String[maxip]; + exss = new double[maxip]; + q = new double[ldq*(maxip+2)]; + p = new double[maxip+1]; + wk = new double[2*maxip]; + + for (int i = 0; i < model.length; ++i) { + StringBuilder tmp = new StringBuilder(); + for (int j = 0; j < vnlen; ++j) { + tmp.append(" "); + } + model[i] = tmp.toString(); + } + for (int i = 0; i < free.length; ++i) { + StringBuilder tmp = new StringBuilder(); + for (int j = 0; j < vnlen; ++j) { + tmp.append(" "); + } + free[i] = tmp.toString(); + } + istep = 0; + ifail = -1; + + + G02EE g02ee = new G02EE(istep,mean,weight,n,m,x,ldx,vname,isx,maxip,y,wt,fin, + addvar,newvar,chrss,f,model,nterm,rss,idf,ifr,free,exss,q,ldq,p, + wk,ifail); + for (int i = 0; i < m; ++i) { + g02ee.setIFAIL(0); + g02ee.eval(); + + System.out.printf(" Step %2d\n",g02ee.getISTEP()); + if (!g02ee.getADDVAR()) { + System.out.printf(" No further variables added maximum F =%7.2f\n",g02ee.getF()); + System.out.print(" Free variables: "); + for (int j = 0; j < g02ee.getIFR(); ++j) { + System.out.print(" "+free[j]); + } + System.out.println(); + System.out.println(" Change in residual sums of squares for free variables:"); + for (int j = 0; j < g02ee.getIFR(); ++j) { + System.out.printf(" %9.4f",g02ee.getEXSS()[j]); + } + System.out.println(); + break; + } + else { + System.out.println(" Added variable is "+g02ee.getNEWVAR()); + System.out.printf(" Change in residual sum of squares = %12.4E\n",g02ee.getCHRSS()); + System.out.printf(" F Statistic = %7.2f\n",g02ee.getF()); + System.out.println(); + System.out.print(" Variables in model:"); + for (int j = 0; j < g02ee.getNTERM(); ++j) { + System.out.print(" "+g02ee.getMODEL()[j]); + } + System.out.println("\n"); + System.out.printf(" Residual sum of squares = %13.4E\n",g02ee.getRSS()); + System.out.printf(" Degrees of freedom = %2d\n",g02ee.getIDF()); + System.out.println(); + if (g02ee.getIFR() == 0) { + System.out.println(" No free variables remaining"); + break; + } + System.out.print(" Free variables: "); + for (int j = 0; j < g02ee.getIFR(); ++j) { + System.out.print(" "+free[j]); + } + System.out.println(); + System.out.println(" Change in residual sums of squares for free variables:"); + for (int j = 0; j < g02ee.getIFR(); ++j) { + System.out.printf(" %9.4f",g02ee.getEXSS()[j]); + } + System.out.println(); + + } + + } + + } + +} diff --git a/simple_examples/G02MAJE.java b/simple_examples/G02MAJE.java new file mode 100644 index 0000000..4a8bfcb --- /dev/null +++ b/simple_examples/G02MAJE.java @@ -0,0 +1,130 @@ +import com.nag.routines.G02.G02MA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * G02MAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class G02MAJE{ + + /** + * G02MAJ example main program + */ + public static void main(String[] args){ + int ifail, ip, ldb, ldd, lisx, lropt, m, mnstep, mtype, n, nstep = 0, pred, prey; + double[] b, d, fitsum, ropt, y; + int[] isx; + + isx = new int[0]; //placeholder + + System.out.println("G02MAJ Example Program Results"); + System.out.println(); + + //data (Could also read in from data file) + //Problem size + n = 20; + m = 6; + + //Model Specification + mtype = 1; + pred = 3; + prey = 1; + mnstep = 6; + lisx = 0; + + //Variable inclusion flags aren't needed in this example + ip = m; + + //Optional arguments (using defaults) + lropt = 0; + ropt = new double[lropt]; + + //D and Y + ldd = n; + y = new double[n]; + d = new double[ldd * m]; + + //Read in D and Y from data file (too large to write out) + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + line = reader.readLine(); //skip N, M + line = reader.readLine(); //skip mtype, pred, prey, mnstep, lisx + + String sVal[]; + + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < m; j++){ + d[(j * n) + i] = Double.parseDouble(sVal[j]); + } + y[i] = Double.parseDouble(sVal[m]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + System.exit(-2); + } + + //Allocate output arrays + ldb = ip; + b = new double[ldb * (mnstep + 2)]; + fitsum = new double[6 * (mnstep + 1)]; + + //Call the model fitting routine + ifail = -1; + G02MA g02ma = new G02MA(mtype, pred, prey, n, m, d, ldd, isx, lisx, y, mnstep, ip, nstep, b, ldb, + fitsum, ropt, lropt, ifail); + g02ma.eval(); + ifail = g02ma.getIFAIL(); + if(ifail != 0){ + if(ifail != 112 && ifail != 161 && ifail != 162 && ifail !=163){ + //ifail = 112, 161, 162, 163 are warnings, so no need to terminate + System.exit(-2); + } + } + + //update + nstep = g02ma.getNSTEP(); + + //Display the parameter estimates + System.out.printf(" Step\t\t\tParameter Estimate\n"); + System.out.println("------------------------------------------------------"); + for(int i = 0; i < nstep; i++){ + System.out.printf(" %d", (i + 1)); + for(int j = 0; j < ip; j++){ + System.out.printf("\t%.3f", b[j + (i * nstep)]); + } + System.out.printf("\n"); + } + System.out.println(); + System.out.printf("alpha: %.3f\n", fitsum[nstep * 6]); + System.out.println(); + System.out.printf(" Step Sum\tRSS\t df\t Cp\t Ck\tStep Size\n"); + System.out.println("---------------------------------------------------------"); + for(int k = 0; k < nstep; k++){ + System.out.printf(" %d %.3f\t%.3f %d\t %.3f\t %.3f %.3f\n", (k + 1), fitsum[k * nstep], fitsum[(k * nstep) + 1], + (int)(Math.floor(fitsum[(k + nstep) + 2] + 0.5)), fitsum[(k * nstep) + 3], + fitsum[(k * nstep) + 4], fitsum[(k * nstep) + 5]); + } + System.out.println(); + System.out.printf("sigma^2: %.3f\n", fitsum[(nstep * 6) + 4]); + } +} diff --git a/simple_examples/G03GAJE.java b/simple_examples/G03GAJE.java new file mode 100644 index 0000000..ba20592 --- /dev/null +++ b/simple_examples/G03GAJE.java @@ -0,0 +1,355 @@ +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.Arrays; +import com.nag.routines.G03.G03GA; +import com.nag.routines.X04.X04CA; +import com.nag.routines.Routine; + +/** + * G03GAJ example program text. + * @author willa + * @since 27.0.0.0 + */ +public class G03GAJE{ + + /** + * G03GAJ example main program. + */ + public static void main(String[] args){ + int i, ldx, lprob, riter, lds, sds, ifail = 0; + double[] w, g, s, f; + double tol, loglik = 0; + + if(args.length != 1){ + G03GAJE.usage(); + } + + // Data file name as argument + String filename = args[0]; + // DataHolder object to hold data read in from data file + DataHolder data = new DataHolder(); + + readDataFile(filename, data); + + System.out.println(" G03GAJ Example Program Results"); + System.out.println(); + + // Leading dimensions + ldx = data.n; + lprob = data.n; + + + switch(data.sopt){ + case 1: + s = new double[data.nvar * data.nvar * data.ng]; + lds = data.nvar; + sds = data.nvar; + break; + case 2: + s = new double[data.nvar * data.nvar * 1]; + lds = data.nvar; + sds = data.nvar; + break; + case 3: + s = new double[data.nvar * data.ng * 1]; + lds = data.nvar; + sds = data.ng; + break; + case 4: + s = new double[data.nvar * 1 * 1]; + lds = data.nvar; + sds = 1; + break; + default: + s = new double[1 * 1 * 1]; + lds = 1; + sds = 1; + break; + } + + // Allocate array size + g = new double[data.nvar * data.ng]; + w = new double[data.ng]; + f = new double[data.n * data.ng]; + tol = 0.0; + riter = 5; + + ifail = 0; + + // Create g03ga object with variables from data file + G03GA g03ga = new G03GA(data.n, data.m, data.x, ldx, data.isx, data.nvar, data.ng, data.popt, data.prob, + lprob, data.niter, riter, w, g, data.sopt, s, lds, sds, f, tol, loglik, ifail); + + // Run routine + g03ga.eval(); + + // Update variables + data.n = g03ga.getN(); + data.m = g03ga.getM(); + data.x = g03ga.getX(); + ldx = g03ga.getLDX(); + data.isx = g03ga.getISX(); + data.nvar = g03ga.getNVAR(); + data.ng = g03ga.getNG(); + data.popt = g03ga.getPOPT(); + data.prob = g03ga.getPROB(); + lprob = g03ga.getLPROB(); + data.niter = g03ga.getNITER(); + riter = g03ga.getRITER(); + w = g03ga.getW(); + g = g03ga.getG(); + data.sopt = g03ga.getSOPT(); + s = g03ga.getS(); + lds = g03ga.getLDS(); + sds = g03ga.getSDS(); + f = g03ga.getF(); + tol = g03ga.getTOL(); + loglik = g03ga.getLOGLIK(); + ifail = g03ga.getIFAIL(); + + // Results + X04CA x04ca = new X04CA(); + + System.out.println(); + ifail = 0; + x04ca.eval("g", "n", 1, data.ng, w, 1, "Mixing proportions", ifail); + + System.out.println(); + ifail = 0; + x04ca.eval("g", "n", data.nvar, data.ng, g, data.nvar, "Group means", ifail); + + System.out.println(); + switch(data.sopt){ + case 1: + for(i = 0; i < data.ng; i++){ + ifail = 0; + // Wrapper returns a 1-dimensional array so X04CA has to be called like this to mimic + // calling X04CA along the 3rd dimension + x04ca.eval("g", "n", data.nvar, data.nvar, + Arrays.copyOfRange(s, (i * (data.nvar * data.nvar)), (data.nvar * data.nvar * data.ng)), + lds, "Variance-cavariance matrix", ifail); + } + break; + case 2: + ifail = 0; + x04ca.eval("g", "n", data.nvar, data.nvar, s, lds, "Pooled Variance-covariance matrix", ifail); + break; + case 3: + ifail = 0; + x04ca.eval("g", "n", data.nvar, data.ng, s, lds, "Groupwise Variance", ifail); + break; + case 4: + ifail = 0; + x04ca.eval("g", "n", data.nvar, 1, s, lds, "Pooled Variance", ifail); + break; + case 5: + ifail = 0; + x04ca.eval("g", "n", 1, 1, s, lds, "Overall Variance", ifail); + break; + } + + System.out.println(); + ifail = 0; + x04ca.eval("g", "n", data.n, data.ng, f, data.n, "Densities", ifail); + + System.out.println(); + ifail = 0; + x04ca.eval("g", "n", data.n, data.ng, data.prob, data.n, "Membership probabilities", ifail); + + System.out.println(); + System.out.println("No. iterations: " + data.niter); + System.out.printf("Log-likelihood: %.04f\n", loglik); + } + + /** + * Read data from given filename and puts into DataHolder object + * @param filename + * Name of data file (absolute or relative path) + * @param data + * DataHolder object to store data from data file + */ + public static void readDataFile(String filename, DataHolder data){ + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + // Problem size + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + data.setN(Integer.parseInt(sVal[0])); + data.setM(Integer.parseInt(sVal[1])); + data.setNvar(Integer.parseInt(sVal[2])); + + // Number of groups + line = reader.readLine(); + sVal = line.split("\\s+"); + data.setNg(Integer.parseInt(sVal[0])); + + // Scaling option + line = reader.readLine(); + sVal = line.split("\\s+"); + data.setSopt(Integer.parseInt(sVal[0])); + + // Initial probabilities option + line = reader.readLine(); + sVal = line.split("\\s+"); + data.setPopt(Integer.parseInt(sVal[0])); + + // Maximum number of iterations + line = reader.readLine(); + sVal = line.split("\\s+"); + data.setNiter(Integer.parseInt(sVal[0])); + + // + data.x = new double[data.m * data.n]; + data.prob = new double[data.ng * data.n]; + data.isx = new int[data.m]; + + //Data matrix X + for(int i = 0; i < data.n; ++i){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < data.m; ++j){ + data.x[i + (j * data.n)] = Double.parseDouble(sVal[j]); + } + } + + //Included variables + if(data.nvar != data.m){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int i = 0; i < data.m; ++i){ + data.isx[i] = Integer.parseInt(sVal[i]); + } + } + + + //Optionally read initial probabilities of group memebership (included in example data) + if(data.popt == 2){ + for(int i = 0; i < data.n; ++i){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < data.ng; ++j){ + data.prob[i + (j * data.n)] = Double.parseDouble(sVal[j]); + } + } + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + + } + + /** + * Stores data from data file for later reference + */ + private static class DataHolder{ + private int n; + private int m; + private int nvar; + private int ng; + private int sopt; + private int popt; + private int niter; + private int isx[]; + private double x[]; + private double prob[]; + + public void setN(int n){ + this.n = n; + } + + public int getN(){ + return n; + } + + public void setM(int m){ + this.m = m; + } + + public int getM(){ + return m; + } + + public void setNvar(int nvar){ + this.nvar = nvar; + } + + public int getNvar(){ + return nvar; + } + + public void setNg(int ng){ + this.ng = ng; + } + + public int getNg(){ + return ng; + } + + public void setSopt(int sopt){ + this.sopt = sopt; + } + + public int getSopt(){ + return sopt; + } + + public void setPopt(int popt){ + this.popt = popt; + } + + public int getPopt(){ + return popt; + } + + public void setNiter(int niter){ + this.niter = niter; + } + + public int getNiter(){ + return niter; + } + + public void setIsx(int[] isx){ + this.isx = isx; + } + + public int[] getIsx(){ + return isx; + } + + public void setX(double[] x){ + this.x = x; + } + + public double[] getX(){ + return x; + } + + public void setProb(double[] prob){ + this.prob = prob; + } + + public double[] getProb(){ + return prob; + } + } + + /** + * No arguments supplied when example runs + */ + private static void usage() { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} + diff --git a/simple_examples/G05KFJE.java b/simple_examples/G05KFJE.java new file mode 100644 index 0000000..18ce755 --- /dev/null +++ b/simple_examples/G05KFJE.java @@ -0,0 +1,105 @@ +import com.nag.routines.G05.G05KF; +import com.nag.routines.G05.G05SA; +import com.nag.routines.Routine; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * G05KFJ example program text. + * @author willa + * @since 27.0.0.0 + */ +public class G05KFJE{ + + /** + * G05KFJ example main program. + */ + public static void main(String[] args){ + //genid, subid only initilised so they can be set in try{} without java throwing error + int lseed = 1, nin = 5, nout = 6, genid = 0, n = 0, subid = 0; + int ifail, lstate; + int[] seed, state; + double x[]; + + System.out.println("G05KFJ Example Program Results"); + System.out.println(); + + //No file input given + if(args.length != 1){ + G05KFJE.usage(); + } + + seed = new int[lseed]; + + //Read in data from data fiel + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //Read in the base generator information and seed + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + genid = Integer.parseInt(sVal[0]); + subid = Integer.parseInt(sVal[1]); + seed[0] = Integer.parseInt(sVal[2]); + + //Read in sample size + line = reader.readLine(); + sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[0]); + + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + lstate = 0; + ifail = 0; + state = new int[lstate]; + + //Initial call to get size of STATE array + G05KF g05kf = new G05KF(genid, subid, seed, lseed, state, lstate, ifail); + g05kf.eval(); + + //Update local variables + lstate = g05kf.getLSTATE(); + state = g05kf.getSTATE(); + + //Reallocate STATE + state = new int[lstate]; + + //Update object variables + g05kf.setSTATE(state); + g05kf.eval(); + + //Update local variables + state = g05kf.getSTATE(); + + x = new double[n]; + + //Generate the variates + ifail = 0; + G05SA g05sa = new G05SA(n, state, x, ifail); + g05sa.eval(); + + //Display the variates + for(int i = 0; i < x.length; i++){ + System.out.printf("%.4f\n", x[i]); + } + } + + /** + * Print usage information. + */ + private static void usage(){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} diff --git a/simple_examples/G13AWJE.java b/simple_examples/G13AWJE.java new file mode 100644 index 0000000..9e829bd --- /dev/null +++ b/simple_examples/G13AWJE.java @@ -0,0 +1,31 @@ +import com.nag.routines.G01.G01EW; +import com.nag.routines.G13.G13AW; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * G13AW example program text. + */ +public class G13AWJE { + + public static void main(String[] args) { + + int n = 30, type = 1, p = 1, ifail = 1, method = 1, nsamp = 0; + double[] y = {-217.,-177.,-166.,-136.,-110.,-95.,-64.,-37.,-14.,-25.,-51., + -62.,-73.,-88.,-113.,-120.,-83.,-33.,-19.,21.,17.,44.,44.,78., + 88.,122.,126.,114.,85.,64}; + int[] state = new int[1]; + G13AW g13aw = new G13AW(type, p, n, y, ifail); + System.out.println(" G13AWJ Example Program Results\n"); + double ts = g13aw.eval(); + G01EW g01ew = new G01EW(method,type,n,ts,nsamp,state,ifail); + double pvalue = g01ew.eval(); + ifail = g01ew.getIFAIL(); + if (ifail == 0 || ifail == 201) { + System.out.printf("Dickey-Fuller test statistic = %6.3f\n", ts); + System.out.printf("associated p-value = %6.3f\n", pvalue); + } + + } + +} diff --git a/simple_examples/G13MEJE.java b/simple_examples/G13MEJE.java new file mode 100644 index 0000000..a768a46 --- /dev/null +++ b/simple_examples/G13MEJE.java @@ -0,0 +1,160 @@ +import com.nag.routines.G13.G13ME; + +/** + * G13MEJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class G13MEJE{ + + /** + * G13MEJ main program + */ + public static void main(String[] args){ + double tau; + int ifail, lrcomm, m, nb, pn; + double[] iema, rcomm, sinit, t; + int[] inter, nbVal; + + inter = new int[2]; + + System.out.println("G13MEJ Example Program Results"); + System.out.println(); + + //data (can read in from data file) + //Number of iteration required + m = 2; + + //Decay parameter and interpolation method + tau = 2; + inter[0] = 3; + inter[1] = 2; + + //Initial values + sinit = new double[m + 2]; + sinit[0] = 5; + sinit[1] = 0.5; + sinit[2] = 0.5; + sinit[3] = 0.5; + + //Array of NB values in order + nbVal = new int[3]; + nbVal[0] = 5; + nbVal[1] = 10; + nbVal[2] = 15; + + //First block + double[] t1 = new double[nbVal[0]]; + double[] iema1 = new double[nbVal[0]]; + t1[0] = 7.5; + t1[1] = 8.2; + t1[2] = 18.1; + t1[3] = 22.8; + t1[4] = 25.8; + iema1[0] = 0.6; + iema1[1] = 0.6; + iema1[2] = 0.8; + iema1[3] = 0.1; + iema1[4] = 0.2; + + //Second block + double[] t2 = new double[nbVal[1]]; + double[] iema2 = new double[nbVal[1]]; + t2[0] = 26.8; + t2[1] = 31.1; + t2[2] = 38.4; + t2[3] = 45.9; + t2[4] = 48.2; + t2[5] = 48.9; + t2[6] = 57.9; + t2[7] = 58.5; + t2[8] = 63.9; + t2[9] = 65.2; + iema2[0] = 0.2; + iema2[1] = 0.5; + iema2[2] = 0.7; + iema2[3] = 0.1; + iema2[4] = 0.4; + iema2[5] = 0.7; + iema2[6] = 0.8; + iema2[7] = 0.3; + iema2[8] = 0.2; + iema2[9] = 0.5; + + //Third block + double[] t3 = new double[nbVal[2]]; + double[] iema3 = new double[nbVal[2]]; + t3[0] = 66.6; + t3[1] = 67.4; + t3[2] = 69.3; + t3[3] = 69.9; + t3[4] = 73.0; + t3[5] = 75.6; + t3[6] = 77.0; + t3[7] = 84.7; + t3[8] = 86.8; + t3[9] = 88.0; + t3[10] = 88.5; + t3[11] = 91.0; + t3[12] = 93.0; + t3[13] = 93.7; + t3[14] = 94.0; + iema3[0] = 0.2; + iema3[1] = 0.3; + iema3[2] = 0.8; + iema3[3] = 0.6; + iema3[4] = 0.1; + iema3[5] = 0.7; + iema3[6] = 0.9; + iema3[7] = 0.6; + iema3[8] = 0.3; + iema3[9] = 0.1; + iema3[10] = 0.1; + iema3[11] = 0.4; + iema3[12] = 1.0; + iema3[13] = 1.0; + iema3[14] = 0.1; + + //Print some titles + System.out.printf("\t\t\tIterated\n"); + System.out.println("\t\tTime\t EMA\n"); + System.out.println("--------------------------------"); + + lrcomm = 20 + m; + rcomm = new double[lrcomm]; + + pn = 0; + + //Loop through 3 blocks + for(int i = 0; i < nbVal.length; i++){ + //nb for given block + nb = nbVal[i]; + + //Use data for current block + if(i == 0){ + t = t1; + iema = iema1; + } + else if(i == 1){ + t = t2; + iema = iema2; + } + else{ + t = t3; + iema = iema3; + } + + ifail = 0; + G13ME g13me = new G13ME(nb, iema, t, tau, m, sinit, inter, pn, rcomm, lrcomm, ifail); + g13me.eval(); + pn = g13me.getPN(); + + //Display results for this block of data + for(int j = 0; j < nb; j++){ + System.out.printf("\t%d\t%.1f\t%.3f\n", pn - nb + (j + 1), t[j], iema[j]); + } + System.out.println(); + } + } +} + diff --git a/simple_examples/G13NAJE.java b/simple_examples/G13NAJE.java new file mode 100644 index 0000000..2032eb1 --- /dev/null +++ b/simple_examples/G13NAJE.java @@ -0,0 +1,123 @@ +import com.nag.routines.G13.G13NA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * G13NAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class G13NAJE{ + + /** + * G13NAJ example main program + */ + public static void main(String[] args){ + double beta = 0; + int ctype = 0, ifail, iparam = 0, minss = 0, n = 0, ntau = 0; //placeholder + double[] param, sparam, y; + int[] tau; + + param = new double[1]; + //Placeholder y to be read in from data file + y = new double[0]; + + System.out.println("G13NAJ Example Program Results"); + System.out.println(); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //Read in the problem size + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[0]); + + //Allocate enough size to hold the input series + y = new double[n]; + + //Read in the input series + for(int i = 0; i < 10; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < 10; j++){ + y[(i * 10) + j] = Double.parseDouble(sVal[j]); + } + } + + //Read in the type of change point, penalty and minimum segment size + line = reader.readLine(); + sVal = line.split("\\s+"); + ctype = Integer.parseInt(sVal[0]); + iparam = Integer.parseInt(sVal[1]); + beta = Double.parseDouble(sVal[2]); + minss = Integer.parseInt(sVal[3]); + + //Read in the distribution parameter (if required) + if(iparam == 1){ + line = reader.readLine(); + sVal = line.split("\\s+"); + param[0] = Double.parseDouble(sVal[0]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + System.exit(-2); + } + + //Output arrays + tau = new int[n]; + sparam = new double[(2 * n) + 2]; + + ifail = -1; + + //Call routine to detece change points + G13NA g13na = new G13NA(ctype, n, y, beta, minss, iparam, param, ntau, tau, sparam, ifail); + g13na.eval(); + + //update + ifail = g13na.getIFAIL(); + ctype = g13na.getCTYPE(); + ntau = g13na.getNTAU(); + + if(ifail == 0 || ifail == 200 || ifail == 201){ + //Display the results + if(ctype == 5 || ctype == 6){ + //Exponential or Poisson distribtion + System.out.printf(" -- Charge Points -- Distribution\n"); + System.out.printf(" Number Position Parameter \n"); + System.out.println("====================================="); + for(int i = 0; i < ntau; i++){ + System.out.printf(" %d\t %d\t%.2f", i + 1, tau[i], sparam[i]); + } + + } + else{ + //Normal of Gamma distribution + System.out.printf(" -- Charge Points -- --- Distribution ---\n"); + System.out.printf(" Number Position Parameters\n"); + System.out.println("================================================="); + for(int i = 0; i < ntau; i++){ + System.out.printf(" %d\t %d\t %.2f\t %.2f\n", (i + 1), tau[i], sparam[2 * i], sparam[(2 * i) + 1]); + } + } + } + if(ifail == 200 || ifail == 201){ + System.out.println("Some truncation occured internally to avoid overflow"); + } + } +} diff --git a/simple_examples/H02BBJE.java b/simple_examples/H02BBJE.java new file mode 100644 index 0000000..04f4207 --- /dev/null +++ b/simple_examples/H02BBJE.java @@ -0,0 +1,92 @@ +import com.nag.routines.H.H02BB; + +/** + * H02BBJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class H02BBJE{ + + /** + * H02BBJ example main program + */ + public static void main(String[] args){ + double bigbnd, objmip = 0, tolfes, toliv; + int ifail, intfst, itmax, lda, liwork, lrwork, m, maxdpt, maxnod, msglvl, n; + double[] a, bl, bu, cvec, rwork, x; + int[] intvar, iwork; + + System.out.println("H02BBJ Example Program Results"); + System.out.println(); + + //Data (can be read in from data file) + n = 2; + m = 3; + lda = m; + + a = new double[lda * n]; + bl = new double[m + n]; + bu = new double[m + n]; + cvec = new double[n]; + x = new double[n]; + intvar = new int[n]; + + itmax = 0; + msglvl = 10; + maxnod = 0; + intfst = 0; + maxdpt = 4; + tolfes = 0; + toliv = 0; + + cvec[0] = -3; + cvec[1] = -4; + + //A = ( 2, 5) + // ( 2, -2) + // ( 3, 2) + a[0] = 2; + a[1] = 2; + a[2] = 3; + a[3] = 5; + a[4] = -2; + a[5] = 2; + + bigbnd = 1E+20; + + bl[0] = 0; + bl[1] = 0; + bl[2] = -1E+20; + bl[3] = -1E+20; + bl[4] = 5; + + bu[0] = 1E+20; + bu[1] = 1E+20; + bu[2] = 15; + bu[3] = 5; + bu[4] = 1E+20; + + intvar[0] = 1; + intvar[1] = 1; + + x[0] = 1; + x[1] = 1; + + liwork = ((25 + n + m) * maxdpt) + (5 * n) + m + 4; + //Math.pow() needs to be casted to int in java + lrwork = (maxdpt * (n + 1)) + (2 * (int)Math.pow(Math.min(n, m + 1), 2)) + (14 * n) + (12 * m); + iwork = new int[liwork]; + rwork = new double[lrwork]; + + ifail = 0; + + H02BB h02bb = new H02BB(itmax, msglvl, n, m, a, lda, bl, bu, intvar, cvec, maxnod, intfst, maxdpt, toliv, + tolfes, bigbnd, x, objmip, iwork, liwork, rwork, lrwork, ifail); + h02bb.eval(); + } +} + + + + + diff --git a/simple_examples/H02DAJE.java b/simple_examples/H02DAJE.java new file mode 100644 index 0000000..6e90401 --- /dev/null +++ b/simple_examples/H02DAJE.java @@ -0,0 +1,228 @@ +import com.nag.routines.H.H02DA; +import com.nag.routines.H.H02ZK; +import com.nag.routines.H.H02ZL; +import com.nag.routines.X04.X04CA; +import java.util.Arrays; + +/** + * H02DAJ exmaple program text + * @author willa + * @since 27.1.0.0 + */ +public class H02DAJE{ + + /** + * H02DAJ example main program + */ + public static void main(String[] args){ + double acc, accqp = 0, objmip = 0; + int ifail, ivalue = 0, lda, liopts, lopts, maxit, n, nclin, ncnln, optype = 0; + String cvalue; + double[] a, ax, bl, bu, c, cjac, d, objgrd, x, opts, ruser; + int[] iopts, iuser, varcon; + + System.out.println("H02DAJ Example Program Results"); + System.out.println(); + + opts = new double[100]; + ruser = new double[1]; + iopts = new int[200]; + iuser = new int[1]; + + //Blank 40 character string to represent ```Character (40) :: cvalue``` + char[] ch = new char[40]; + Arrays.fill(ch, ' '); + cvalue = new String(ch); + + n = 8; + nclin = 5; + ncnln = 2; + lda = nclin; + + a = new double[lda * n]; + d = new double[nclin]; + ax = new double[nclin]; + bl = new double[n]; + bu = new double[n]; + varcon = new int[n + nclin + ncnln]; + x = new double[n]; + c = new double[ncnln]; + cjac = new double[ncnln * n]; + objgrd = new double[n]; + + //Set variable types: continuous then binary + varcon[0] = 0; + varcon[1] = 0; + varcon[2] = 0; + varcon[3] = 0; + varcon[4] = 1; + varcon[5] = 1; + varcon[6] = 1; + varcon[7] = 1; + + //Set continuous variable bounds + bl[0] = 0; + bl[1] = 0; + bl[2] = 0; + bl[3] = 0; + bu[0] = 1000; + bu[1] = 1000; + bu[2] = 1000; + bu[3] = 1000; + + //Bounds for binary variables need not be provided + bl[4] = 0; + bl[5] = 0; + bl[6] = 0; + bl[7] = 0; + bu[4] = 1; + bu[5] = 1; + bu[6] = 1; + bu[7] = 1; + + //Set linear constraint, equality first + varcon[n] = 3; + varcon[n + 1] = 4; + varcon[n + 2] = 4; + varcon[n + 3] = 4; + varcon[n + 4] = 4; + + //Set Ax=d then Ax>=d + //( 1, 1, 1, 1, 0, 0, 0, 0) + //(-1, 0, 0, 0, 1, 0, 0, 0) + //( 0,-1, 0, 0, 0, 1, 0, 0) + //( 0, 0,-1, 0, 0, 0, 1, 0) + //( 0, 0, 0,-1, 0, 0, 0, 1) + a[0] = 1; + a[1] = -1; + a[5] = 1; + a[7] = -1; + a[10] = 1; + a[13] = -1; + a[15] = 1; + a[19] = -1; + a[21] = 1; + a[27] = 1; + a[33] = 1; + a[39] = 1; + d[0] = 1; + d[1] = 0; + d[2] = 0; + d[3] = 0; + d[4] = 0; + + //Set constraints supplied by CONFUN, equality first + varcon[n + nclin] = 3; + varcon[n + nclin + 1] = 4; + + liopts = iopts.length; + lopts = opts.length; + + //Initialize communication arrays + ifail = 0; + H02ZK h02zk = new H02ZK("Initialize = H02DAF", iopts, liopts, opts, lopts, ifail); + h02zk.eval(); + + + //Optimization parameters + maxit = 500; + acc = 0.000001; + + //Initial estimate (binary variables need not be given) + x[0] = 1; + x[1] = 1; + x[2] = 1; + x[3] = 1; + x[4] = 0; + x[5] = 0; + x[6] = 0; + x[7] = 0; + + //Portfolio parameters p and rho + iuser[0] = 3; + ruser[0] = 10; + + ifail = 0; + //Create objfun1, confun1 to pass to H02DA representing repsecitve subroutines + objfun objfun1 = new objfun(); + confun confun1 = new confun(); + H02DA h02da = new H02DA(n, nclin, ncnln, a, lda, d, ax, bl, bu, varcon, x, confun1, c, cjac, objfun1, + objgrd, maxit, acc, objmip, iopts, opts, iuser, ruser, ifail); + h02da.eval(); + + //Results + ifail = h02da.getIFAIL(); + if(ifail == 0){ + X04CA x04ca = new X04CA("G", "N", n, 1, x, n, "Final Esimate:", ifail); + x04ca.eval(); + + //Query the accuracy of the mixed integer QP Solver + ifail = -1; + H02ZL h02zl = new H02ZL("QP Accuracy", ivalue, accqp, cvalue, optype, iopts, opts, ifail); + h02zl.eval(); + + //Update values to print + accqp = h02zl.getRVALUE(); + objmip = h02da.getOBJMIP(); + ifail = h02zl.getIFAIL(); + if(ifail == 0){ + System.out.printf("Requested accuracy of QP subproblems\t%.4e\n", accqp); + } + System.out.printf("Optimised value:\t%.3f\n", objmip); + } + else{ + System.out.printf("h02daf returns ifail = %d\n", ifail); + } + } + + /** + * objfun class extending Abstract_H02DA_OBJFUN to represent objfun subroutine for passing to H02DA + */ + public static class objfun extends H02DA.Abstract_H02DA_OBJFUN{ + public void eval(){ + if(this.MODE == 0){ + //Objective value + this.OBJMIP = (this.X[0] * ((4 * this.X[0]) + (3 * this.X[1]) - this.X[2])) + + (this.X[1] * ((3 * this.X[0]) + (6 * this.X[1]) + this.X[2])) + + (this.X[2] * (this.X[1] - this.X[0] + (10 * this.X[2]))); + } + else{ + //Objective gradients for continous varaiables + this.OBJGRD[0] = (8 * this.X[0]) + (6 * this.X[1]) - (2 * this.X[2]); + this.OBJGRD[1] = (6 * this.X[0]) + (12 * this.X[1]) + (2 * this.X[2]); + this.OBJGRD[2] = (2 * (this.X[1] - this.X[0])) + (20 * this.X[2]); + this.OBJGRD[3] = 0; + } + } + } + + /** + * confun class extending Abstract_H02DA_CONFUN to represent confun subroutine for passing to H02DA + */ + public static class confun extends H02DA.Abstract_H02DA_CONFUN{ + public void eval(){ + if(this.MODE == 0){ + //Constraints + int p = this.IUSER[0]; + double rho = this.RUSER[0]; + + //Mean return rho: + this.C[0] = (8 * this.X[0]) + (9 * this.X[1]) + (12 * this.X[2]) + (7 * this.X[3]) - rho; + //Maximum of p assets in portfolio + this.C[1] = p - this.X[4] - this.X[5] - this.X[6] - this.X[7]; + } + else{ + //Jacobian + this.CJAC[0] = 8; + this.CJAC[2] = 9; + this.CJAC[4] = 12; + this.CJAC[6] = 7; + //c[2] does not include continuours varaibles which requries that their derivatives are zero + this.CJAC[1] = 0; + this.CJAC[3] = 0; + this.CJAC[5] = 0; + this.CJAC[7] = 0; + } + } + } +} diff --git a/simple_examples/M01CCJE.java b/simple_examples/M01CCJE.java new file mode 100644 index 0000000..fda5e2f --- /dev/null +++ b/simple_examples/M01CCJE.java @@ -0,0 +1,42 @@ +import com.nag.routines.M01.M01CC; +import java.io.*; + +/** + * M01CC example program text. + */ +public class M01CCJE { + + public static void main(String[] args) throws Exception { + + String[] ch; + String order = "Reverse ASCII"; + int m1,m2,l1,l2; + int ifail = 0; + + BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); + + dataIn.readLine(); + m2 = Integer.parseInt(dataIn.readLine().trim().split(":+")[0].trim()); + ch = new String[m2]; + m1 = 1; + for (int i = m1-1; i < m2; ++i) { + ch[i] = dataIn.readLine(); + } + dataIn.close(); + l1 = 7; + l2 = 12; + + System.out.println(" M01CCJ Example Program Results"); + M01CC m01cc = new M01CC(ch, m1, m2, l1, l2, order, ifail); + m01cc.eval(); + ifail = m01cc.getIFAIL(); + System.out.println(); + System.out.printf(" Records sorted on columns %2d to %2d\n",l1,l2); + System.out.println(); + for (int i = m1-1; i < m2; ++i) { + System.out.println(" "+ch[i]); + } + + } + +} diff --git a/simple_examples/S01BAJE.java b/simple_examples/S01BAJE.java new file mode 100644 index 0000000..4bf2823 --- /dev/null +++ b/simple_examples/S01BAJE.java @@ -0,0 +1,39 @@ +import com.nag.routines.S.S01BA; + +/** + * S01BAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S01BAJE{ + + /** + * S01BAJE main program + */ + public static void main(String[] args){ + double y; + int ifail; + double[] xVal; //data + + //store data + xVal = new double[6]; + xVal[0] = 2.5; + xVal[1] = 0.125; + xVal[2] = -0.906; + xVal[3] = 0.00129; + xVal[4] = -0.00000783; + xVal[5] = 0.000000001; + + System.out.println("S01BAJ Example Program Results"); + System.out.println(); + System.out.printf("\tX\t\tY\n"); + + for(double x : xVal){ + ifail = -1; + S01BA s01ba = new S01BA(x, ifail); + y = s01ba.eval(); + + System.out.printf("\t%.4e\t%.4e\n", x, y); + } + } +} diff --git a/simple_examples/S10AAJE.java b/simple_examples/S10AAJE.java new file mode 100644 index 0000000..2a0878a --- /dev/null +++ b/simple_examples/S10AAJE.java @@ -0,0 +1,40 @@ +import com.nag.routines.S.S10AA; + +/** + * S10AAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S10AAJE{ + + /** + * S10AAJ example main program + */ + public static void main(String[] args){ + double y; + double[] xVal; + int ifail; + + //x values (can be read in from data file) + xVal = new double[4]; + xVal[0] = -20; + xVal[1] = -5.0; + xVal[2] = 0.5; + xVal[3] = 5.0; + + System.out.println("S10AAJ Example Program Results"); + + System.out.println(); + System.out.printf("\tX\t\tY"); + System.out.println(); + + for(double x : xVal){ + ifail = -1; + S10AA s10aa = new S10AA(x, ifail); + y = s10aa.eval(); + ifail = s10aa.getIFAIL(); + + System.out.printf("\t%.3e\t%.3e\n", x, y); + } + } +} diff --git a/simple_examples/S10ABJE.java b/simple_examples/S10ABJE.java new file mode 100644 index 0000000..dd84ab7 --- /dev/null +++ b/simple_examples/S10ABJE.java @@ -0,0 +1,41 @@ +import com.nag.routines.S.S10AB; + +/** + * S10ABJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S10ABJE{ + + /** + * S10ABJ example main program + */ + public static void main(String[] args){ + double y; + double[] xVal; + int ifail; + + //x values (can be read in from data file) + xVal = new double[5]; + xVal[0] = -10; + xVal[1] = -0.5; + xVal[2] = 0; + xVal[3] = 0.5; + xVal[4] = 25.0; + + System.out.println("S10ABJ Example Program Results"); + + System.out.println(); + System.out.printf("\tX\t\tY"); + System.out.println(); + + for(double x : xVal){ + ifail = -1; + S10AB s10ab = new S10AB(x, ifail); + y = s10ab.eval(); + ifail = s10ab.getIFAIL(); + + System.out.printf("\t%.3e\t%.3e\n", x, y); + } + } +} diff --git a/simple_examples/S10ACJE.java b/simple_examples/S10ACJE.java new file mode 100644 index 0000000..cc0c04c --- /dev/null +++ b/simple_examples/S10ACJE.java @@ -0,0 +1,41 @@ +import com.nag.routines.S.S10AC; + +/** + * S10ACJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S10ACJE{ + + /** + * S10ACJ example main program + */ + public static void main(String[] args){ + double y; + double[] xVal; + int ifail; + + //x values (can be read in from data file) + xVal = new double[5]; + xVal[0] = -10; + xVal[1] = -0.5; + xVal[2] = 0; + xVal[3] = 0.5; + xVal[4] = 25.0; + + System.out.println("S10ACJ Example Program Results"); + + System.out.println(); + System.out.printf("\tX\t\tY"); + System.out.println(); + + for(double x : xVal){ + ifail = -1; + S10AC s10ac = new S10AC(x, ifail); + y = s10ac.eval(); + ifail = s10ac.getIFAIL(); + + System.out.printf("\t%.3e\t%.3e\n", x, y); + } + } +} diff --git a/simple_examples/S14ABJE.java b/simple_examples/S14ABJE.java new file mode 100644 index 0000000..673a4b3 --- /dev/null +++ b/simple_examples/S14ABJE.java @@ -0,0 +1,71 @@ +import com.nag.routines.S.S14AB; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * S14ABJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S14ABJE{ + + /** + * S14ABJ example main program + */ + public static void main(String[] args){ + double x, y; + int ifail; + + System.out.println("S14ABJ Example Program Results"); + + //Supply file path as argument + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + System.out.println(); + System.out.printf("\tX\t\tY"); + System.out.println(); + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //loop until break + while(true){ + line = reader.readLine(); + + //if finished looping through file break + if(line == null){ + break; + } + String[] sVal = line.split("\\s+"); + + x = Double.parseDouble(sVal[1]); + + ifail = -1; + S14AB s14ab = new S14AB(x, ifail); + y = s14ab.eval(); + //update ifail + ifail = s14ab.getIFAIL(); + + if(ifail < 0){ + break; + } + System.out.printf("\t%.3e\t%.3e\n", x, y); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} + diff --git a/simple_examples/S14ACJE.java b/simple_examples/S14ACJE.java new file mode 100644 index 0000000..e2fff05 --- /dev/null +++ b/simple_examples/S14ACJE.java @@ -0,0 +1,68 @@ +import com.nag.routines.S.S14AC; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * S14ACJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S14ACJE{ + + /** + * S14ACJ example main program + */ + public static void main(String[] args){ + double f, x; + int ifail; + + System.out.println("S14ACJ Example Program Results"); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + System.out.println(); + System.out.printf("\tX\tpsi(X)-log(X)\n"); + System.out.println(); + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //Loop until break... + while(true){ + line = reader.readLine(); + if(line == null){ + break; + } + String[] sVal = line.split("\\s+"); + + x = Double.parseDouble(sVal[0]); + + ifail = -1; + S14AC s14ac = new S14AC(x, ifail); + f = s14ac.eval(); + ifail = s14ac.getIFAIL(); + + if(ifail < 0){ + break; + } + + System.out.printf("\t%.4f\t%.4f\n", x, f); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} diff --git a/simple_examples/S14AFJE.java b/simple_examples/S14AFJE.java new file mode 100644 index 0000000..9005cc1 --- /dev/null +++ b/simple_examples/S14AFJE.java @@ -0,0 +1,80 @@ +import com.nag.routines.S.S14AF; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * S14AFJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class S14AFJE{ + + /** + * S14AFJ Example main program + */ + public static void main(String[] args){ + NAGComplex y, z; + int ifail, k; + + //Tell the wrapper the type of complex being used before calling a routine + Routine.setComplex(new NAGComplex()); + + y = new NAGComplex(); + z = new NAGComplex(); + + System.out.println("S14AFJ Example Program Results"); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); + + System.out.println(); + System.out.println("\tZ\t\tK\t(d^K/dz^K)psi(Z)"); + System.out.println(); + + //loop until break... + while(true){ + line = reader.readLine(); + + //end of file reached + if(line == null){ + break; + } + + String[] sVal = line.split("\\s+"); + z.setRe(Double.parseDouble(sVal[0])); + z.setIm(Double.parseDouble(sVal[1])); + k = Integer.parseInt(sVal[2]); + + ifail = -1; + S14AF s14af = new S14AF(z, k, ifail); + y = (NAGComplex) s14af.eval(); + ifail = s14af.getIFAIL(); + + //ifail < 0 => error + if(ifail < 0){ + break; + } + System.out.printf("\t(%.1f, %.1f)\t%d\t(%.4e, %.4e)\n", z.getRe(), z.getIm(), k, y.getRe(), y.getIm()); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} diff --git a/simple_examples/S17DCJE.java b/simple_examples/S17DCJE.java new file mode 100644 index 0000000..ba01290 --- /dev/null +++ b/simple_examples/S17DCJE.java @@ -0,0 +1,69 @@ +import com.nag.routines.S.S17DC; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +public class S17DCJE{ + private static int n = 2; + + public static void main(String[] args){ + double fnu; + int ifail, nz = 0; + String scal; + NAGComplex z; + NAGComplex[] cwrk, cy; + + z = new NAGComplex(); + //initiate complex arrays like this to save looping through and doing it manually by looping through + cwrk = NAGComplex.createArray(n); + cy = NAGComplex.createArray(n); + + System.out.println("S17DCF Example Program Results"); + + //Supply file path as argument + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + System.out.println(); + System.out.printf("Calling with N = %d\n", n); + System.out.println(); + System.out.printf("FNU\tZ\t\t\tSCAL\tCY[0]\t\t\tCY[1]\t\t\tNZ"); + System.out.println(); + + while(true){ + line = reader.readLine(); + if(line == null){ + break; + } + String[] sVal = line.split("\\s+"); + fnu = Double.parseDouble(sVal[0]); + z.setRe(Double.parseDouble(sVal[1])); + z.setIm(Double.parseDouble(sVal[2])); + scal = sVal[3].substring(1,2); + + ifail = 0; + S17DC s17dc = new S17DC(fnu, z, n, scal, cy, nz, cwrk, ifail); + s17dc.eval(); + + System.out.printf("%.4f\t(%.4f, %.4f)\t%s\t(%.4f, %.4f)\t(%.4f, %.4f)\t%d\n", fnu, z.getRe(), z.getIm(), scal, cy[0].getRe(), cy[0].getIm(), cy[1].getRe(), cy[1].getIm(), nz); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} + diff --git a/simple_examples/S17DGJE.java b/simple_examples/S17DGJE.java new file mode 100644 index 0000000..b93c9e0 --- /dev/null +++ b/simple_examples/S17DGJE.java @@ -0,0 +1,61 @@ +import com.nag.routines.S.S17DG; +import com.nag.types.NAGComplex; +import java.io.*; +import java.util.regex.Matcher; +import java.util.regex.Pattern; + +/** + * S17DG example program text. + */ +public class S17DGJE { + + public static void main(String[] args) throws Exception { + String deriv,scal; + int ifail = 1; + NAGComplex z,ai; + int nz = -1; + z = new NAGComplex(); + ai = new NAGComplex(); + ai.setRe(Double.NaN); + ai.setIm(Double.NaN); + + System.out.println(" S17DGJ Example Program Results"); + BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); + + dataIn.readLine(); + System.out.println(); + System.out.println(" DERIV Z SCAL AI NZ"); + System.out.println(); + String line = dataIn.readLine(); + Pattern linePatt = Pattern.compile("\\s*'([A-Z]{1})'\\s+\\(\\s*([0-9\\.\\-]+)\\s*," + + "\\s*([0-9\\.\\-]+)\\s*\\)\\s+'([A-Z]{1})'\\s*"); + Matcher m; + S17DG s17dg = new S17DG(); + while (line != null) { + m = linePatt.matcher(line); + if (m.matches()) { + deriv = m.group(1); + z.setRe(Double.parseDouble(m.group(2))); + z.setIm(Double.parseDouble(m.group(3))); + scal = m.group(4); + ifail = 1;// SOFT AND SILENT FAILURE + s17dg.eval(deriv,z,scal,ai,nz,ifail); + if (s17dg.getIFAIL() == 0) { + System.out.printf(" %s (%8.4f,%8.4f) %s (%8.4f,%8.4f) %4d\n", + s17dg.getDERIV(), s17dg.getZ().getRe(), s17dg.getZ().getIm(), s17dg.getSCAL(), + s17dg.getAI().getRe(), s17dg.getAI().getIm(), s17dg.getNZ()); + } + else { + System.err.println("Something went wrong - S17DG returned IFAIL = "+s17dg.getIFAIL()); + System.exit(-1); + } + } + else { + System.out.println("Can't match:\n"+line); + } + line = dataIn.readLine(); + } + + } + +} diff --git a/simple_examples/S30AAJE.java b/simple_examples/S30AAJE.java new file mode 100644 index 0000000..7e01ffe --- /dev/null +++ b/simple_examples/S30AAJE.java @@ -0,0 +1,109 @@ +import com.nag.routines.S.S30AA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * S30AAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S30AAJE{ + + /** + * S30AAJ main program + */ + public static void main(String[] args){ + double q = 0, r = 0, s = 0, sigma = 0; + int ifail, ldp, m = 0, n = 0; + String calput = ""; //placeholders + double[] p, t, x; + + //placeholders + t = new double[0]; + x = new double[0]; + + System.out.println("S30AAJ Example Program Results"); + + //Supply file path as arugment + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + calput = sVal[0].substring(1,2); + + line = reader.readLine(); + sVal = line.split("\\s+"); + s = Double.parseDouble(sVal[0]); + sigma = Double.parseDouble(sVal[1]); + r = Double.parseDouble(sVal[2]); + q = Double.parseDouble(sVal[3]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + m = Integer.parseInt(sVal[0]); + n = Integer.parseInt(sVal[1]); + + t = new double[n]; + x = new double[m]; + + for(int i = 0; i < m; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + x[i] = Double.parseDouble(sVal[0]); + } + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + t[i] = Double.parseDouble(sVal[0]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ldp = m; + p = new double[ldp * n]; + + ifail = 0; + S30AA s30aa = new S30AA(calput, m, n, x, s, t, sigma, r, q, p, ldp, ifail); + s30aa.eval(); + + System.out.println(); + System.out.println("Black-Scholes-Merton formula"); + + if(calput.toLowerCase().equals("c")){ + System.out.println("European Call : "); + } + else if(calput.toLowerCase().equals("p")){ + System.out.println("European Put : "); + } + + System.out.printf(" Spot =\t%.4f\n", s); + System.out.printf(" Volatility =\t%.4f\n", sigma); + System.out.printf(" Rate =\t%.4f\n", r); + System.out.printf(" Dividend =\t%.4f\n", q); + + System.out.println(); + System.out.printf(" Strike\tExpiry\tOption Price\n"); + for(int i = 0; i < m; i++){ + for(int j = 0; j < n; j++){ + System.out.printf(" %.4f\t%.4f\t%.4f\n", x[i], t[j], p[i + (j * 3)]); + } + } + } +} + diff --git a/simple_examples/S30ACJE.java b/simple_examples/S30ACJE.java new file mode 100644 index 0000000..8d994dc --- /dev/null +++ b/simple_examples/S30ACJE.java @@ -0,0 +1,129 @@ +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.Arrays; + +import com.nag.routines.S.S30AC; + +/** + * S30AC example program text. + */ +public class S30ACJE { + + public static void main(String[] args) { + + int i, ifail, mode = 0, n = 0; + String calput; + + double[] k = null, p = null, r = null, s0 = null, sigma = null, t = null; + int[] ivalid = null; + + // Strings must be length expected by Fortran + calput = getBlankString(1); + + /* Header */ + System.out.println(" S30ACJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); // skip header + + System.out.println(); + System.out.println(" SIGMA IVALID"); + System.out.println(); + + line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + calput = sVal[0].replaceAll("\'", ""); + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + mode = Integer.parseInt(sVal[1]); + + line = reader.readLine(); // skip empty line + + p = new double[n]; + k = new double[n]; + s0 = new double[n]; + t = new double[n]; + r = new double[n]; + sigma = new double[n]; + ivalid = new int[n]; + + // Read p, k, s0, t and r from data file + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + p[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + k[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + s0[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + t[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + r[i] = Double.parseDouble(sVal[i]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Find the implied volatilities, sigma + ifail = 0; + S30AC s30ac = new S30AC(); + s30ac.eval(calput, n, p, k, s0, t, r, sigma, mode, ivalid, ifail); + + // Print solution + for (i = 0; i < n; i++) { + System.out.printf(" %12.3E%5d\n", sigma[i], ivalid[i]); + } + + } + + /** + * Returns a new String, filled with spaces to the specified length. + * + * @param len the required length of the String + * @return a blank String of the specified length + */ + public static String getBlankString(int len) { + + if (len > 0) { + char[] arr = new char[len]; + Arrays.fill(arr, ' '); + return new String(arr); + } + + return ""; + + } +} diff --git a/simple_examples/X03AAJE.java b/simple_examples/X03AAJE.java new file mode 100644 index 0000000..b03f1ab --- /dev/null +++ b/simple_examples/X03AAJE.java @@ -0,0 +1,87 @@ +import com.nag.routines.X03.X03AA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * X03AAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class X03AAJE{ + + /** + * X03AAJ example main program. + */ + public static void main(String[] args){ + int n = 3; + double c1 = 0, c2 = 0, d1 = 0, d2 = 0; //placeholder + int ifail, isizea, isizeb, istepa, istepb; + boolean sw; + double[] a, b; + + a = new double[n * n]; + b = new double[n]; + + System.out.println("X03AAF Example Program Results"); + System.out.println(); + + if(args.length != 1){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //stored column wise + //a = (-2, -3, 7) + // ( 2, -5, 3) + // (-9, 1, 0) + for(int i = 0; i < n; i++){ + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + for(int j = 0; j < n; j++){ + a[i + (j * n)] = Double.parseDouble(sVal[j + 1]); + } + } + + line = reader.readLine(); + for(int i = 0; i < n; i++){ + String[] sVal = line.split("\\s+"); + b[i] = Double.parseDouble(sVal[i + 1]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + + c1 = 1; + c2 = 0; + isizea = n; + isizeb = n; + istepa = 1; + istepb = 1; + sw = true; + + ifail = 0; + X03AA x03aa = new X03AA(a , isizea, b, isizeb, n, istepa, istepb, c1, c2, d1, d2, sw, ifail); + x03aa.eval(); + + //update + c1 = x03aa.getC1(); + c2 = x03aa.getC2(); + d1 = x03aa.getD1(); + d2 = x03aa.getD2(); + + System.out.printf("D1 = %.1f D2 = %.1f\n", d1, d2); + } +} diff --git a/simple_examples/X04CBJE.java b/simple_examples/X04CBJE.java new file mode 100644 index 0000000..fa77c3a --- /dev/null +++ b/simple_examples/X04CBJE.java @@ -0,0 +1,53 @@ +import com.nag.routines.X04.X04CB; + +/** + * X04CBJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class X04CBJE{ + + /** + * X04CBJ example main program + */ + public static void main(String[] args){ + int nmax = 5, lda = nmax, ifail, indent, ncols; + double[] a; + + a = new double[lda * nmax]; + + String[] clabs = {"Un ", "Deux ", "Trois ", "Quatre ", "Cinq "}; + String[] rlabs = {"Uno ", "Due ", "Tre ", "Quattro", "Cinque "}; + + System.out.println("X04CBJ Example Program Results"); + System.out.println(); + + //generate an array of data + for(int i = 0; i < nmax; i++){ + for(int j = 0; j < lda; j++){ + a[(i * lda) + j] = (double) ((10 * (j + 1)) + i + 1); + } + } + + ncols = 80; + indent = 0; + + //Print 3 by nmax rectangular matrix with default format and integer row and column labels + ifail = 0; + X04CB x04cb = new X04CB("General", " ", 3, nmax, a, lda, " ", "Example 1", "Integer", rlabs, "Integer", + clabs, ncols, indent, ifail); + x04cb.eval(); + System.out.println(); + + //Print nmax by namx upper triangular matrix with user-supplied format and row and column labels + ifail = 0; + x04cb.eval("Upper", "Non-unit", nmax, nmax, a, lda, "F8.2", "Example 2:", "Character", rlabs, "Character", + clabs, ncols, indent, ifail); + System.out.println(); + + //Print 3 by nmax lower triangular matrix in MATLAB format + //Row and column labelling is ignored + ifail = 0; + x04cb.eval("Lower", "Non-unit", 3, nmax, a, lda, "MATLABF8.2", "A", " ", rlabs, " ", clabs, ncols, indent, ifail); + } +} diff --git a/simple_examples/X05ABJE.java b/simple_examples/X05ABJE.java new file mode 100644 index 0000000..acb3804 --- /dev/null +++ b/simple_examples/X05ABJE.java @@ -0,0 +1,25 @@ +import com.nag.routines.X05.X05AB; + +/** + * X05AB example program text. + */ +public class X05ABJE { + + public static void main(String[] args) { + + int[] itime = new int[7]; + + itime[0] = 1789; + itime[1] = 7; + itime[2] = 14; + itime[3] = 13; + itime[4] = 11; + itime[5] = 48; + itime[6] = 320; + + System.out.println(" X05ABJ Example Program Results"); + System.out.println((new X05AB(itime)).eval()); + + } + +} From a2dbea8986b90c75eebb119a726533dce25f6542 Mon Sep 17 00:00:00 2001 From: Christos Date: Mon, 11 Jan 2021 17:27:28 +0200 Subject: [PATCH 030/196] Modified gitignore --- .gitignore | 1 + 1 file changed, 1 insertion(+) diff --git a/.gitignore b/.gitignore index 08b4244..b188e26 100644 --- a/.gitignore +++ b/.gitignore @@ -2,3 +2,4 @@ myvenv .ipynb_checkpoints workspace.code-workspace +NAGPythonExamples From b273fd95bd65392ecc4ee7ac1e61c1df709ab477 Mon Sep 17 00:00:00 2001 From: Christos Date: Mon, 11 Jan 2021 17:29:28 +0200 Subject: [PATCH 031/196] Removed python examples --- NAGPythonExamples | 1 - 1 file changed, 1 deletion(-) delete mode 160000 NAGPythonExamples diff --git a/NAGPythonExamples b/NAGPythonExamples deleted file mode 160000 index c301999..0000000 --- a/NAGPythonExamples +++ /dev/null @@ -1 +0,0 @@ -Subproject commit c301999c02afc152546db595f2680265c95a18e5 From 109ff34dca1fb67835d510de4916d7d5e255ab2d Mon Sep 17 00:00:00 2001 From: Christos Date: Mon, 11 Jan 2021 17:34:07 +0200 Subject: [PATCH 032/196] Added under dev message --- README.md | 3 +++ 1 file changed, 3 insertions(+) diff --git a/README.md b/README.md index d8659fd..bd4a6e4 100644 --- a/README.md +++ b/README.md @@ -1,5 +1,8 @@ ![NAG Logo](./nag_logo.png) +> ## Important Information +> This repository is still under development. + # Examples using the NAG Library for Java This repository contains examples and demonstrations using the [NAG Library for Java](https://www.nag.com/content/nag-library-for-java). The NAG Library for Java contains 1900+ functions spanning many areas of numerical computing and data science. From d0f7731d48d0d97a9a1e7aadcf7f3f284d1a049f Mon Sep 17 00:00:00 2001 From: Christos Date: Mon, 11 Jan 2021 17:35:05 +0200 Subject: [PATCH 033/196] Added message to the top --- README.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/README.md b/README.md index bd4a6e4..f1d64cd 100644 --- a/README.md +++ b/README.md @@ -1,8 +1,8 @@ -![NAG Logo](./nag_logo.png) - > ## Important Information > This repository is still under development. +![NAG Logo](./nag_logo.png) + # Examples using the NAG Library for Java This repository contains examples and demonstrations using the [NAG Library for Java](https://www.nag.com/content/nag-library-for-java). The NAG Library for Java contains 1900+ functions spanning many areas of numerical computing and data science. From d93aa3eb95b2eb05cd3780532a50d336cd1057fd Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 11:28:20 +0200 Subject: [PATCH 034/196] Added _config.yml from gh-pages branch --- _config.yml | 1 + 1 file changed, 1 insertion(+) create mode 100644 _config.yml diff --git a/_config.yml b/_config.yml new file mode 100644 index 0000000..c741881 --- /dev/null +++ b/_config.yml @@ -0,0 +1 @@ +theme: jekyll-theme-slate \ No newline at end of file From f2a50b68d386e1579e51c9a9311d3b06dbce35f2 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 11:38:49 +0200 Subject: [PATCH 035/196] Added logo without background --- README.md | 2 +- nag_logo-removebg.png | Bin 0 -> 12271 bytes 2 files changed, 1 insertion(+), 1 deletion(-) create mode 100644 nag_logo-removebg.png diff --git a/README.md b/README.md index f1d64cd..4f1479d 100644 --- a/README.md +++ b/README.md @@ -1,7 +1,7 @@ > ## Important Information > This repository is still under development. -![NAG Logo](./nag_logo.png) +![NAG Logo](./nag_logo-removebg.png) # Examples using the NAG Library for Java diff --git a/nag_logo-removebg.png b/nag_logo-removebg.png new file mode 100644 index 0000000000000000000000000000000000000000..68858dc093ab8f0c1f79ee26175e7607acbc159c GIT binary patch literal 12271 zcmVits++lSEfWmR4#iHp`uaAYt2txn_vuvB4>f#7#~wT{El}+ zZI=;pYGNQjK1k0|-b>4AaQ{Je?FSk9*zQ9FsJY7%`H-j1ZB85V@R) zB{Bj;Oq}pzw%Q0Wt|p|YnD8`m^1-~#pEryTz7`)Bd8d7=#^HooSv@KYZg~80?dF3T|2cS}-%D>S{kGq8ZT?8l)DDe~3^BN#EGX3T7k<6-rIv|x zk6*i!+~9*R)~#z8A9L*2?>-#-(#Ws=ICnX@8Qgo8Zb_G}BxP^eb3FXgl@xOQP7cY) z$|c1`79y1^iApIwlb@S!Hf3z=SQc3KQ?r7OpSjt62#2soIE1n2}pRj zj0_vx`Ri8(c3#)2dELvEfiXKrE5Cg8{xe&5ofvWO=+&WVS^99J!9?)N+qnCDthvQiE71wD5QW zr_E*)6`RdcZN4G+k3TOww`%z>`)9652d)ta9U zOxy77*oH0BdBI2;wNO5ryiHix%pE0rjyQ7Bp{-q)? 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zAZ5Em%OG_fw#wf9WAZigiR9ZeD_k+Cw*N`}oc3iK{aEuZco!Q$^xqGMle3Ydv%902 UIV>|P7dHnNECq$Qq6F;!0hAC6$p8QV From 307c3990f4d0cac11be074165e4320f35f535857 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 11:51:05 +0200 Subject: [PATCH 038/196] Updated the Readme file for ncm --- nearest_correlation_matrices/Readme.md | 22 ++++++++++++++++------ 1 file changed, 16 insertions(+), 6 deletions(-) diff --git a/nearest_correlation_matrices/Readme.md b/nearest_correlation_matrices/Readme.md index 6e923a0..d81e243 100644 --- a/nearest_correlation_matrices/Readme.md +++ b/nearest_correlation_matrices/Readme.md @@ -1,8 +1,18 @@ -# Nearest Correlation Matrices using the NAG Library for Java +# Nearest Correlation Matrices -* [ncm_whitepaper_2019.pdf](./ncm_whitepaper_2019.pdf) Nearest Correlation Matrices whitepaper -* [NcmNag.java](./NcmNag.java) Nearest Correlation Matrices Java Source File, which outputs data files for *ncm_nag.ipynb* to use. -* [output.txt](./output.txt) Output of NcmNag.java -* [ncm_nag.ipynb](./ncm_nag.ipynb) Nearest Correlation Matrices Tutorial, which reads the data files produced from *NcmNag.java* and renders the output using Python -* [ncm_nag.pdf](./ncm_nag.pdf) PDF version of ncm_nag.ipynb, without the Input cells +This notebook looks at computing *nearest correlation matrices* using the NAG Library for *Java*. +The source of this example is in [NcmNag.java](./NcmNag.java). + +## Correlation Matrices + +* An $n$ by $n$ matrix is a correlation matrix if: + * it is symmetric + * it has ones on the diagonal + * its eigenvalues are non-negative (positive semidefinite) + + + $$ \Large Ax = \lambda x, \quad x \neq 0$$ + + +* The element in the $i$th row and $j$th column is the correlation between the $i$th and $j$th variables. This could be stock process, for example. From ed0b6efdc6bace3e104bbc09642dec972dfefcb1 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 11:55:50 +0200 Subject: [PATCH 039/196] Added default.html --- _layouts/default.html | 68 +++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 68 insertions(+) create mode 100644 _layouts/default.html diff --git a/_layouts/default.html b/_layouts/default.html new file mode 100644 index 0000000..64b6c3c --- /dev/null +++ b/_layouts/default.html @@ -0,0 +1,68 @@ + + + + + + + + +{% seo %} + + + + +

    + + {% if site.google_analytics %} + + {% endif %} + + From 32a56f2922fcdaadaa0199e659f65c2bec192a29 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 12:07:49 +0200 Subject: [PATCH 040/196] Added default.html for slate theme --- _layouts/default.html | 106 +++++++++++++++++++++--------------------- 1 file changed, 54 insertions(+), 52 deletions(-) diff --git a/_layouts/default.html b/_layouts/default.html index 64b6c3c..d671009 100644 --- a/_layouts/default.html +++ b/_layouts/default.html @@ -1,68 +1,70 @@ - - - + + + + - + + src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"> + + -{% seo %} - - - - -
    -
    -

    {{ site.title | default: site.github.repository_name }}

    - - {% if site.logo %} - Logo - {% endif %} + {% seo %} + -

    {{ site.description | default: site.github.project_tagline }}

    + - {% if site.github.is_project_page %} -

    View the Project on GitHub {{ site.github.repository_nwo }}

    - {% endif %} + +
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    + {% if site.github.is_project_page %} + View on GitHub + {% endif %} - {% if site.github.is_user_page %} -

    View My GitHub Profile

    - {% endif %} +

    {{ site.title | default: site.github.repository_name }}

    +

    {{ site.description | default: site.github.project_tagline }}

    - {% if site.show_downloads %} - - {% endif %} -
    -
    + {% if site.show_downloads %} +
    + Download this project as a .zip file + Download this project as a tar.gz file +
    + {% endif %} +
    +
    - {{ content }} + +
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    + {{ content }} +
    +
    - - + + - + {% if site.google_analytics %} {% endif %} - + + From ae078d2a2789674ce20d2501809af69e8047b586 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 12:13:17 +0200 Subject: [PATCH 041/196] Updated Readme --- nearest_correlation_matrices/Readme.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/nearest_correlation_matrices/Readme.md b/nearest_correlation_matrices/Readme.md index d81e243..fb94aa2 100644 --- a/nearest_correlation_matrices/Readme.md +++ b/nearest_correlation_matrices/Readme.md @@ -6,7 +6,7 @@ The source of this example is in [NcmNag.java](./NcmNag.java). ## Correlation Matrices -* An $n$ by $n$ matrix is a correlation matrix if: +* An $$n$$ by $n$ matrix is a correlation matrix if: * it is symmetric * it has ones on the diagonal * its eigenvalues are non-negative (positive semidefinite) From cce65f683aa48e4d3a4bb8cfe4c48122999bb099 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 12:34:39 +0200 Subject: [PATCH 042/196] Updated Readme (Added all the doc) --- nearest_correlation_matrices/Readme.md | 570 ++++++++++++++++++++++++- 1 file changed, 568 insertions(+), 2 deletions(-) diff --git a/nearest_correlation_matrices/Readme.md b/nearest_correlation_matrices/Readme.md index fb94aa2..08a9a13 100644 --- a/nearest_correlation_matrices/Readme.md +++ b/nearest_correlation_matrices/Readme.md @@ -6,7 +6,7 @@ The source of this example is in [NcmNag.java](./NcmNag.java). ## Correlation Matrices -* An $$n$$ by $n$ matrix is a correlation matrix if: +* An $$n$$ by $$n$$ matrix is a correlation matrix if: * it is symmetric * it has ones on the diagonal * its eigenvalues are non-negative (positive semidefinite) @@ -15,4 +15,570 @@ The source of this example is in [NcmNag.java](./NcmNag.java). $$ \Large Ax = \lambda x, \quad x \neq 0$$ -* The element in the $i$th row and $j$th column is the correlation between the $i$th and $j$th variables. This could be stock process, for example. +* The element in the $$i$$th row and $$j$$th column is the correlation between the $$i$$th and $$j$$th variables. This could be stock process, for example. + +## Empirical Correlation Matrices + +* Empirical correlation matrices are often **not mathematically true** due to inconsistent or missing data. + + +* Thus we are required to find a true correlation matrix, where our input, $$G$$, is an approximate correlation matrix. + + +* In particular we seek the *nearest* correlation matrix, in most cases. + +## Computing Correlation Matrices + +* The vector $$p_i$$, the $$i$$th column of a matrix, $$P$$, holds the $$m$$ observations of the $$i$$th variable, of which there are $$n$$. $$\bar{p}_i$$ is the sample mean. + + +$$ \large S_{ij}=\frac{1}{m-1}(p_i - \bar{p}_i )^T(p_j - \bar{p}_j) $$ + +* $$S$$ is a covariance matrix, with $$S_{ij}$$ the covariance between variables $$i$$ and $$j$$ + + +* $$R$$ is the corresponding correlation matrix, given by: + + +\begin{align*} \large D_S^{1/2} & = \large \textrm{ diag}(s_{11}^{-1/2},s_{22}^{-1/2}, \ldots, s_{nn}^{-1/2}) \nonumber \\ & \\ +\large R & = \large D_S^{1/2} S D_S^{1/2} +\end{align*} + + +## Approximate Correlation Matrices + +* Now, what if we don't have all observations for each variable? + + +* We compute each covariance with observations that are available for *both* the *i*th and *j*th variable. + + +* For example NAG routine **G02BB**. + + +* We then compute the correlation matrix as before. + +# Missing Stock Price Example + +* Prices for 8 stocks on the first working day of 10 consecutive months. + + +| | Stock A | Stock B | Stock C | Stock D | Stock E | Stock F | Stock G | Stock H +| --- | --- | --- | --- | --- | --- | --- | --- | --- | +| **Month 1** | 59.875 | 42.734 | 47.938 | 60.359 | 54.016 | 69.625 | 61.500 | 62.125 | +| **Month 2** | 53.188 | 49.000 | 39.500 | | 34.750 | | 83.000 | 44.500 | +| **Month 3** | 55.750 | 50.000 | 38.938 | | 30.188 | | 70.875 | 29.938 | +| **Month 4** | 65.500 | 51.063 | 45.563 | 69.313 | 48.250 | 62.375 | 85.250 | | +| **Month 5** | 69.938 | 47.000 | 52.313 | 71.016 | | 59.359 | 61.188 | 48.219 | +| **Month 6** | 61.500 | 44.188 | 53.438 | 57.000 | 35.313 | 55.813 | 51.500 | 62.188 | +| **Month 7** | 59.230 | 48.210 | 62.190 | 61.390 | 54.310 | 70.170 | 61.750 | 91.080 | +| **Month 8** | 61.230 | 48.700 | 60.300 | 68.580 | 61.250 | 70.340 | | | +| **Month 9** | 52.900 | 52.690 | 54.230 | | 68.170 | 70.600 | 57.870 | 88.640 | +| **Month 10** | 57.370 | 59.040 | 59.870 | 62.090 | 61.620 | 66.470 | 65.370 | 85.840 | + + +* We will use NaNs where there is missing data. + +* So our $$P = \left[p_1, p_2, \ldots, p_n \right]$$ is: + + +$$ +P=\left[\begin{array}{rrrrrrrr} + 59.875 & 42.734 & {\color{blue}{47.938}} & {\color{blue}{60.359}} & 54.016 & 69.625 & 61.500 & 62.125 \\ + 53.188 & 49.000 & 39.500 & \textrm{NaN} & 34.750 & \textrm{NaN} & 83.000 & 44.500 \\ + 55.750 & 50.000 & 38.938 & \textrm{NaN} & 30.188 & \textrm{NaN} & 70.875 & 29.938 \\ + 65.500 & 51.063 & {\color{blue}{45.563}} & {\color{blue}{69.313}} & 48.250 & 62.375 & 85.250 & \textrm{NaN} \\ + 69.938 & 47.000 & {\color{blue}{52.313}} & {\color{blue}{71.016}} & \textrm{NaN} & 59.359 & 61.188 & 48.219 \\ + 61.500 & 44.188 & {\color{blue}{53.438}} & {\color{blue}{57.000}} & 35.313 & 55.813 & 51.500 & 62.188 \\ + 59.230 & 48.210 & {\color{blue}{62.190}} & {\color{blue}{61.390}} & 54.310 & 70.170 & 61.750 & + 91.080 \\ + 61.230 & 48.700 & {\color{blue}{60.300}} & {\color{blue}{68.580}} & 61.250 & 70.340 & \textrm{NaN} & \textrm{NaN} \\ + 52.900 & 52.690 & 54.230 & \textrm{NaN} & 68.170 & 70.600 & 57.870 & 88.640 \\ + 57.370 & 59.040 & {\color{blue}{59.870}} & {\color{blue}{62.090}} & 61.620 & 66.470 & 65.370 & + 85.840 +\end{array}\right]. +$$ + + +* And to compute the covariance between the 3rd and 4th variables: + + +\begin{align*} +\large v_1^T & = \large [47.938, 45.563, 52.313, 53.438, 62.190, 60.300, 59.870] \\ +\large v_2^T & = \large [60.359, 69.313, 71.016, 57.000, 61.390, 68.580, 62.090] \\ +S_{3,4} & = \large \frac{1}{6} (v_1 - \bar{v}_1 )^T(v_2 - \bar{v}_2) +\end{align*} + +* Let's compute this in Java. + +### Initialize our *P* matrix of observations + +```java +// Define a 2-d array and use Double.NaN to set elements as NaNs +double[][] P = new double[][] { + { 59.875, 42.734, 47.938, 60.359, 54.016, 69.625, 61.500, 62.125 }, + { 53.188, 49.000, 39.500, Double.NaN, 34.750, Double.NaN, 83.000, 44.500 }, + { 55.750, 50.000, 38.938, Double.NaN, 30.188, Double.NaN, 70.875, 29.938 }, + { 65.500, 51.063, 45.563, 69.313, 48.250, 62.375, 85.250, Double.NaN }, + { 69.938, 47.000, 52.313, 71.016, Double.NaN, 59.359, 61.188, 48.219 }, + { 61.500, 44.188, 53.438, 57.000, 35.313, 55.813, 51.500, 62.188 }, + { 59.230, 48.210, 62.190, 61.390, 54.310, 70.170, 61.750, 91.080 }, + { 61.230, 48.700, 60.300, 68.580, 61.250, 70.340, Double.NaN, Double.NaN }, + { 52.900, 52.690, 54.230, Double.NaN, 68.170, 70.600, 57.870, 88.640 }, + { 57.370, 59.040, 59.870, 62.090, 61.620, 66.470, 65.370, 85.840 } }; +``` + +### Compute the covariance, ignoring missing values + +```java +public static double[][] cov_bar(double[][] P) { + double[] xi, xj; + boolean[] xib, xjb, notp; + int n = P[0].length; + double[][] S = new double[n][n]; + int notpFalseCount; + + for (int i = 0; i < n; i++) { + // Take the ith column + xi = getMatrixColumn(P, i); + + for (int j = 0; j < i + 1; j++) { + // Take the jth column, where j <= i + xj = getMatrixColumn(P, j); + + // Set mask such that all NaNs are true + xib = getNanMask(xi); + xjb = getNanMask(xj); + + notp = addBoolArrOr(xib, xjb); + + // S[i][j] = (xi - mean(xi)) * (xj - mean(xj)) + S[i][j] = matrixMaskedDot(vectorSubScalar(xi, vectorMaskedMean(xi, notp)), + vectorSubScalar(xj, vectorMaskedMean(xj, notp)), notp); + + // Take the sum over !notp to normalize + notpFalseCount = 0; + for (boolean b : notp) { + if (!b) { + notpFalseCount++; + } + } + S[i][j] = 1.0 / (notpFalseCount - 1) * S[i][j]; + S[j][i] = S[i][j]; + } + } + return S; +} +``` + +```java +public static double[][] cor_bar(double[][] P) { + double[][] S, D; + S = cov_bar(P); + // D = 1.0 / SQRT(S) + D = getMatrixFromDiag(vectorRightDiv(vectorSqrt(getMatrixDiag(S)), 1.0)); + + // S_ = S * D + F01CK f01ck = new F01CK(); + double[] S_ = new double[S.length * S[0].length]; + double[] S1d = convert2DTo1D(S); + double[] D1d = convert2DTo1D(D); + int n = S.length; + int p = n; + int m = n; + double[] z = new double[0]; + int iz = 0; + int opt = 1; + int ifail = 0; + f01ck.eval(S_, S1d, D1d, n, p, m, z, iz, opt, ifail); + + // D_ = D * S_ + double[] D_ = new double[n * n]; + f01ck.eval(D_, D1d, S_, n, p, m, z, iz, opt, ifail); + + return convert1DTo2D(D_, n); +} +``` + +### Compute the *approximate* correlation matrix + +```java +double[][] G = cor_bar(P); +``` + +### Compute the eigenvalues of our (indefinite) *G*. + +* We see below that our matrix $$G$$ is not a mathematically true correlation matrix. + +```java +F08NA f08na = new F08NA(); +String jobvl = "N"; +String jobvr = "N"; +int n = G[0].length; +double[] G1d = convert2DTo1D(G); +int lda = G.length; +double[] wr = new double[n]; +double[] wi = new double[n]; +int ldvl = 1; +double[] vl = new double[ldvl]; +int ldvr = 1; +double[] vr = new double[ldvr]; +int lwork = 3 * n; +double[] work = new double[lwork]; +int info = 0; +f08na.eval(jobvl, jobvr, n, G1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, info); +Arrays.sort(wr); +``` + +# Nearest Correlation Matrices + +* Our problem now is to solve: + + +$$ +\large +\min \frac{1}{2} \| G-X \|^2_F = +\min \frac{1}{2} \sum_{i=1}^{n} \sum_{i=1}^{n} +\left| G(i,j)-X(i,j) \right| ^2 +$$ + + +* In order to find $$X$$, a true correlation matrix, where $$G$$ is an approximate correlation matrix. + + +* An algorithm by Qi and Sun (2006), applies an inexact Newton method to a dual (unconstrained) formulation of this problem. + + +* Improvements were suggested by Borsdorf and Higham (2010 MSc). + + +* It is globally and quadratically (fast!) convergent. + + +* This is implemented in NAG routine **G02AA**. + +## Using G02AA to compute the nearest correlation matrix in the Frobenius norm + +```java +// Call NAG routine G02AA and print the result +G02AA g02aa = new G02AA(); +G1d = convert2DTo1D(G); +n = G.length; +int ldg = n; +int ldx = n; +double errtol = 0.0; +int maxits = 0; +int maxit = 0; +double[] X1d = new double[ldx * n]; +int iter = 0; +int feval = 0; +double nrmgrd = 0.0; +int ifail = 0; +g02aa.eval(G1d, ldg, n, errtol, maxits, maxit, X1d, ldx, iter, feval, nrmgrd, ifail); + +double[][] X = convert1DTo2D(X1d, ldx); +iter = g02aa.getITER(); +``` + +```java +jobvl = "N"; +jobvr = "N"; +n = X[0].length; +lda = X.length; +wr = new double[n]; +wi = new double[n]; +ldvl = 1; +vl = new double[ldvl]; +ldvr = 1; +vr = new double[ldvr]; +lwork = 3 * n; +work = new double[lwork]; +info = 0; +f08na.eval(jobvl, jobvr, n, X1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, info); +Arrays.sort(wr); +``` + +# Weighting rows and columns of elements + +* Now, we note that for Stocks A to C we have a complete set of observations. + + +$$ +P=\left[\begin{array}{rrrrrrrr} + {\color{blue}{59.875}} & {\color{blue}{42.734}} & {\color{blue}{47.938}} & 60.359 & 54.016 & 69.625 & 61.500 & 62.125 \\ + {\color{blue}{53.188}} & {\color{blue}{49.000}} & {\color{blue}{39.500}} & \textrm{NaN} & 34.750 & \textrm{NaN} & 83.000 & 44.500 \\ + {\color{blue}{55.750}} & {\color{blue}{50.000}} & {\color{blue}{38.938}} & \textrm{NaN} & 30.188 & \textrm{NaN} & 70.875 & 29.938 \\ + {\color{blue}{65.500}} & {\color{blue}{51.063}} & {\color{blue}{45.563}} & 69.313 & 48.250 & 62.375 & 85.250 & \textrm{NaN} \\ + {\color{blue}{69.938}} & {\color{blue}{47.000}} & {\color{blue}{52.313}} & 71.016 & \textrm{NaN} & 59.359 & 61.188 & 48.219 \\ + {\color{blue}{61.500}} & {\color{blue}{44.188}} & {\color{blue}{53.438}} & 57.000 & 35.313 & 55.813 & 51.500 & 62.188 \\ + {\color{blue}{59.230}} & {\color{blue}{48.210}} & {\color{blue}{62.190}} & 61.390 & 54.310 & 70.170 & 61.750 & 91.080 \\ + {\color{blue}{61.230}} & {\color{blue}{48.700}} & {\color{blue}{60.300}} & 68.580 & 61.250 & 70.340 & \textrm{NaN} & \textrm{NaN} \\ + {\color{blue}{52.900}} & {\color{blue}{52.690}} & {\color{blue}{54.230}} & \textrm{NaN} & 68.170 & 70.600 & 57.870 & 88.640 \\ + {\color{blue}{57.370}} & {\color{blue}{59.040}} & {\color{blue}{59.870}} & 62.090 & 61.620 &66.470 & 65.370 & 85.840 +\end{array}\right]. +$$ + + +* Perhaps we wish to preserve part of the correlation matrix? + + +* We could solve the *weighted* problem, NAG routine **G02AB** + + +$$ \Large \|W^{\frac{1}{2}} (G-X) W^{\frac{1}{2}} \|_F$$ + + +* Here $$W$$ is a diagonal matrix. + + +* We can also force the resulting matrix to be positive definite. + +### Use G02AB to compute the nearest correlation matrix with row and column weighting + +```java +// Define an arrray of weights +double[] W = new double[] { 10, 10, 10, 1, 1, 1, 1, 1 }; + +// Set up and call the NAG routine using weights and a minimum eigenvalue +G02AB g02ab = new G02AB(); +G1d = convert2DTo1D(G); +ldg = G.length; +n = G[0].length; +String opt = "B"; +double alpha = 0.001; +errtol = 0.0; +maxits = 0; +maxit = 0; +ldx = n; +X1d = new double[ldx * n]; +iter = 0; +feval = 0; +nrmgrd = 0; +ifail = 0; +g02ab.eval(G1d, ldg, n, opt, alpha, W, errtol, maxits, maxit, X1d, ldx, iter, feval, nrmgrd, ifail); + +X = convert1DTo2D(X1d, ldx); +iter = g02ab.getITER(); +``` + +```java +jobvl = "N"; +jobvr = "N"; +n = X[0].length; +lda = X.length; +wr = new double[n]; +wi = new double[n]; +ldvl = 1; +vl = new double[ldvl]; +ldvr = 1; +vr = new double[ldvr]; +lwork = 3 * n; +work = new double[lwork]; +info = 0; +f08na.eval(jobvl, jobvr, n, X1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, info); +Arrays.sort(wr); +``` + +# Weighting Individual Elements + +* Would it be better to be able to *weight individual elements* in our approximate matrix? + + +* In our example the top left 3 by 3 block of exact correlations, perhaps. + + +* Element-wise weighting means we wish to find the minimum of + + +$$ \Large \|H \circ(G-X) \|_F $$ + + +* So individually $$h_{ij} \times (g_{ij} – x_{ij}).$$ + + +* However, this is a more “difficult” problem, and more computationally expensive. + + +* This is implemented in the NAG routine **G02AJ**. + +### Use G02AJ to compute the nearest correlation matrix with element-wise weighting + +```java +// Set up a matrix of weights +n = P[0].length; +double[][] H = new double[n][n]; +for (int i = 0; i < n; i++) { + for (int j = 0; j < n; j++) { + if ((i < 3) && (j < 3)) { + H[i][j] = 100.0; + } else { + H[i][j] = 1; + } + } +} +``` + +```java +// Call the NAG routine specifying a minimum eigenvalue +G02AJ g02aj = new G02AJ(); +G1d = convert2DTo1D(G); +ldg = G.length; +n = G[0].length; +alpha = 0.001; +double[] H1d = convert2DTo1D(H); +int ldh = H.length; +errtol = 0; +maxit = 0; +ldx = n; +X1d = new double[ldx * n]; +iter = 0; +double norm2 = 0; +ifail = 0; +g02aj.eval(G1d, ldg, n, alpha, H1d, ldh, errtol, maxit, X1d, ldx, iter, norm2, ifail); + +X = convert1DTo2D(X1d, ldx); +iter = g02aj.getITER(); +``` + +```java +jobvl = "N"; +jobvr = "N"; +n = X[0].length; +lda = X.length; +wr = new double[n]; +wi = new double[n]; +ldvl = 1; +vl = new double[ldvl]; +ldvr = 1; +vr = new double[ldvr]; +lwork = 3 * n; +work = new double[lwork]; +info = 0; +f08na.eval(jobvl, jobvr, n, X1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, info); +Arrays.sort(wr); +Arrays.sort(wi); +``` + +# Fixing a Block of Elements + +* We probably really wish to *fix* our leading block of true correlations, so it does not change at all. + + +* We have the NAG routine **G02AN**. + + +* This routine fixes a leading block, which we require to be positive definite. + + +* We apply the *shrinking algorithm* of Higham, Strabić and Šego. The approach is **not** computationally expensive. + + +* What we find is the smallest α, such that *X* is a true correlation matrix: + + +$$ \large X = \alpha \left( +\begin{array}{ll}G_{11} & 0 \\ 0 & I \end{array} \right) +(1-\alpha)G, +\qquad G = \left( +\begin{array}{ll} G_{11} & G_{12} \\ G_{12}^T & G_{22} \end{array} +\right) +$$ + + +* $$G_{11}$$ is the leading $$k$$ by $$k$$ block of the approximate correlation matrix that we wish to fix. + + +* $$\alpha$$ is in the interval $$[0,1]$$. + +### Use G02AN to compute the nearest correlation matrix with fixed leading block + +```java +// Call the NAG routine fixing the top 3-by-3 block +G02AN g02an = new G02AN(); +G1d = convert2DTo1D(G); +ldg = G.length; +n = G[0].length; +int k = 3; +errtol = 0; +double eigtol = 0; +ldx = n; +X1d = new double[ldx * n]; +alpha = 0.001; +iter = 0; +double eigmin = 0; +norm2 = 0; +ifail = 0; +g02an.eval(G1d, ldg, n, k, errtol, eigtol, X1d, ldx, alpha, iter, eigmin, norm2, ifail); + +X = convert1DTo2D(X1d, ldx); +iter = g02an.getITER(); +alpha = g02an.getALPHA(); +``` + +```java +jobvl = "N"; +jobvr = "N"; +n = X[0].length; +lda = X.length; +wr = new double[n]; +wi = new double[n]; +ldvl = 1; +vl = new double[ldvl]; +ldvr = 1; +vr = new double[ldvr]; +lwork = 3 * n; +work = new double[lwork]; +info = 0; +f08na.eval(jobvl, jobvr, n, X1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, info); +Arrays.sort(wr); +``` + +# Fixing Arbitrary Elements + +* The routine **G02AP** fixes arbitrary elements by finding the smallest α, such that *X* is a true correlation matrix in: + + +$$ X = \large \alpha T+(1-\alpha)G, \quad T = H \circ G, \quad h_{ij} \in [0,1] $$ + + +* A "1" in *H* fixes corresponding elements in *G*. + + +* $$0 < h_{ij} < 1$$ weights corresponding element in *G*. + + +* $$\alpha$$ is again in the interval $$[0,1]$$. + +## Alternating Projections + +* First method proposed to solve our original problem, however, it is very slow. + + +* The idea is we alternate projecting onto two sets, which are: + * the set of smeidefinite matrices (S1), and + * matrices with unit diagonal (s2) + + +* We do this until we converge on a matrix with both properties. + + + +## Alternating Projections with Anderson Acceleration + + +* A new approach by Higham and Strabić uses *Anderson Acceleration*, and makes the method worthwhile. + + +* In particular, we will be able to fix elements whilst finding the nearest true correlation matrix in the Frobenius norm. + + +* Our projections are now: + * the set of (semi)definite matrices with some minimum eigenvalue, and + * matrix with elements $$G_{i,j}$$ for some given indices $$i$$ and $$j$$ + + +* To appear in a future NAG Library. + +# More on using the NAG Library for *Java*: + + +**https://www.nag.com/content/nag-library-for-java** From 934662d0713a1aa113badc57d8b176278affd0aa Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 12:45:11 +0200 Subject: [PATCH 043/196] Small fixes --- nearest_correlation_matrices/Readme.md | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/nearest_correlation_matrices/Readme.md b/nearest_correlation_matrices/Readme.md index 08a9a13..90543b4 100644 --- a/nearest_correlation_matrices/Readme.md +++ b/nearest_correlation_matrices/Readme.md @@ -39,10 +39,11 @@ $$ \large S_{ij}=\frac{1}{m-1}(p_i - \bar{p}_i )^T(p_j - \bar{p}_j) $$ * $$R$$ is the corresponding correlation matrix, given by: - +$$ \begin{align*} \large D_S^{1/2} & = \large \textrm{ diag}(s_{11}^{-1/2},s_{22}^{-1/2}, \ldots, s_{nn}^{-1/2}) \nonumber \\ & \\ \large R & = \large D_S^{1/2} S D_S^{1/2} \end{align*} +$$ ## Approximate Correlation Matrices @@ -102,12 +103,13 @@ $$ * And to compute the covariance between the 3rd and 4th variables: - +$$ \begin{align*} \large v_1^T & = \large [47.938, 45.563, 52.313, 53.438, 62.190, 60.300, 59.870] \\ \large v_2^T & = \large [60.359, 69.313, 71.016, 57.000, 61.390, 68.580, 62.090] \\ S_{3,4} & = \large \frac{1}{6} (v_1 - \bar{v}_1 )^T(v_2 - \bar{v}_2) \end{align*} +$$ * Let's compute this in Java. From 69657c9740596cd18db6eb90291253a5c288e7d5 Mon Sep 17 00:00:00 2001 From: Christos Efstathiou <54641824+Brunochris13@users.noreply.github.com> Date: Tue, 12 Jan 2021 12:47:15 +0200 Subject: [PATCH 044/196] Set theme jekyll-theme-minimal --- _config.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_config.yml b/_config.yml index c741881..2f7efbe 100644 --- a/_config.yml +++ b/_config.yml @@ -1 +1 @@ -theme: jekyll-theme-slate \ No newline at end of file +theme: jekyll-theme-minimal \ No newline at end of file From 4aa68503324868a0d1e1866dbb6a4630ef75c9c9 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 12:49:47 +0200 Subject: [PATCH 045/196] Added default.html for minimal --- _layouts/default.html | 106 +++++++++++++++++++++--------------------- 1 file changed, 52 insertions(+), 54 deletions(-) diff --git a/_layouts/default.html b/_layouts/default.html index d671009..64b6c3c 100644 --- a/_layouts/default.html +++ b/_layouts/default.html @@ -1,70 +1,68 @@ - - - - + + + - + - + src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"> + - {% seo %} - +{% seo %} + + + + +
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    - {% endif %} + +
    +
    + {% if site.github.is_project_page %} + View on GitHub + {% endif %} - {% if site.github.is_user_page %} -

    View My GitHub Profile

    - {% endif %} +

    {{ site.title | default: site.github.repository_name }}

    +

    {{ site.description | default: site.github.project_tagline }}

    - {% if site.show_downloads %} - - {% endif %} -
    -
    + {% if site.show_downloads %} +
    + Download this project as a .zip file + Download this project as a tar.gz file +
    + {% endif %} +
    +
    - {{ content }} + +
    +
    + {{ content }} +
    +
    - - + + - + {% if site.google_analytics %} {% endif %} - + + From 8eb95070ca583a70c9beae6f94879c02b75455d7 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 14:43:37 +0200 Subject: [PATCH 048/196] Added style.scss --- docs/assets/style.scss | 8 ++++++++ 1 file changed, 8 insertions(+) create mode 100644 docs/assets/style.scss diff --git a/docs/assets/style.scss b/docs/assets/style.scss new file mode 100644 index 0000000..9e2720a --- /dev/null +++ b/docs/assets/style.scss @@ -0,0 +1,8 @@ +--- +--- + +@import "{{ site.theme }}"; + +.inner { + max-width: 75%; +} From 517aa228310566e10262b558a3415556766b79b2 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 14:50:46 +0200 Subject: [PATCH 049/196] Changed max-width to 15% --- docs/assets/style.scss | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/assets/style.scss b/docs/assets/style.scss index 9e2720a..4155cb8 100644 --- a/docs/assets/style.scss +++ b/docs/assets/style.scss @@ -4,5 +4,5 @@ @import "{{ site.theme }}"; .inner { - max-width: 75%; + max-width: 15%; } From 379695224e22600338cb99b9f8ed11eaa1e9b46a Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 14:52:04 +0200 Subject: [PATCH 050/196] Renamed folders --- {docs/assets => assets/css}/style.scss | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) rename {docs/assets => assets/css}/style.scss (73%) diff --git a/docs/assets/style.scss b/assets/css/style.scss similarity index 73% rename from docs/assets/style.scss rename to assets/css/style.scss index 4155cb8..9e2720a 100644 --- a/docs/assets/style.scss +++ b/assets/css/style.scss @@ -4,5 +4,5 @@ @import "{{ site.theme }}"; .inner { - max-width: 15%; + max-width: 75%; } From 69f9134d7b81dd56025cc9c0c9ae1bedc6d0215a Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 14:53:31 +0200 Subject: [PATCH 051/196] Changed max-width to 65% --- assets/css/style.scss | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/assets/css/style.scss b/assets/css/style.scss index 9e2720a..efbd388 100644 --- a/assets/css/style.scss +++ b/assets/css/style.scss @@ -4,5 +4,5 @@ @import "{{ site.theme }}"; .inner { - max-width: 75%; + max-width: 65%; } From ec308d8adbb8a2d282c4d7b8faf714fe4a68c105 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 15:02:14 +0200 Subject: [PATCH 052/196] Added table centering to css --- assets/css/style.scss | 5 +++++ 1 file changed, 5 insertions(+) diff --git a/assets/css/style.scss b/assets/css/style.scss index efbd388..5dcfad6 100644 --- a/assets/css/style.scss +++ b/assets/css/style.scss @@ -6,3 +6,8 @@ .inner { max-width: 65%; } + +table { + margin-right: auto; + margin-left: auto; +} From 034225adf47319946506d4738a8d35c18d3bb069 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 15:03:53 +0200 Subject: [PATCH 053/196] Added img centering --- assets/css/style.scss | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/assets/css/style.scss b/assets/css/style.scss index 5dcfad6..e39bf97 100644 --- a/assets/css/style.scss +++ b/assets/css/style.scss @@ -7,7 +7,9 @@ max-width: 65%; } -table { +table, img { margin-right: auto; margin-left: auto; } + + From fd79a3da4c20aef7cdd9fee363306d7439b2b114 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 15:05:50 +0200 Subject: [PATCH 054/196] Removed img centering --- assets/css/style.scss | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/assets/css/style.scss b/assets/css/style.scss index e39bf97..45e1b34 100644 --- a/assets/css/style.scss +++ b/assets/css/style.scss @@ -7,7 +7,7 @@ max-width: 65%; } -table, img { +table { margin-right: auto; margin-left: auto; } From 9344dfb92276bb59acef00a69f15b4277b6e2f49 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 15:13:06 +0200 Subject: [PATCH 055/196] Added img to the header --- README.md | 2 +- _layouts/default.html | 3 +++ .../nag_logo-removebg.png | Bin 3 files changed, 4 insertions(+), 1 deletion(-) rename nag_logo-removebg.png => _layouts/nag_logo-removebg.png (100%) diff --git a/README.md b/README.md index 4f1479d..ed97478 100644 --- a/README.md +++ b/README.md @@ -1,7 +1,7 @@ > ## Important Information > This repository is still under development. -![NAG Logo](./nag_logo-removebg.png) + # Examples using the NAG Library for Java diff --git a/_layouts/default.html b/_layouts/default.html index d671009..17cc4b3 100644 --- a/_layouts/default.html +++ b/_layouts/default.html @@ -26,6 +26,9 @@

    {{ site.title | default: site.github.repository_name }}

    {{ site.description | default: site.github.project_tagline }}

    + +
    + {% if site.show_downloads %}
    Download this project as a .zip file diff --git a/nag_logo-removebg.png b/_layouts/nag_logo-removebg.png similarity index 100% rename from nag_logo-removebg.png rename to _layouts/nag_logo-removebg.png From aeb4c75242a5b34ad6a70b3fbeb3e309a5233246 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 15:27:50 +0200 Subject: [PATCH 056/196] Changed img path --- _layouts/default.html | 2 +- .../nag_logo-removebg.png => nag_logo-removebg.png | Bin 2 files changed, 1 insertion(+), 1 deletion(-) rename _layouts/nag_logo-removebg.png => nag_logo-removebg.png (100%) diff --git a/_layouts/default.html b/_layouts/default.html index 17cc4b3..22d6606 100644 --- a/_layouts/default.html +++ b/_layouts/default.html @@ -26,7 +26,7 @@

    {{ site.title | default: site.github.repository_name }}

    {{ site.description | default: site.github.project_tagline }}

    - + NAG Logo
    {% if site.show_downloads %} diff --git a/_layouts/nag_logo-removebg.png b/nag_logo-removebg.png similarity index 100% rename from _layouts/nag_logo-removebg.png rename to nag_logo-removebg.png From 661bf2342094678de2d1832956f57288305029b3 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 15:33:47 +0200 Subject: [PATCH 057/196] Added logo-white --- _layouts/default.html | 2 +- assets/img/logo-white.png | Bin 0 -> 10514 bytes 2 files changed, 1 insertion(+), 1 deletion(-) create mode 100644 assets/img/logo-white.png diff --git a/_layouts/default.html b/_layouts/default.html index 22d6606..1407562 100644 --- a/_layouts/default.html +++ b/_layouts/default.html @@ -26,7 +26,7 @@

    {{ site.title | default: site.github.repository_name }}

    {{ site.description | default: site.github.project_tagline }}

    - NAG Logo + NAG Logo
    {% if site.show_downloads %} diff --git a/assets/img/logo-white.png b/assets/img/logo-white.png new file mode 100644 index 0000000000000000000000000000000000000000..b2b57e23903acbcad5262931981db81b7dc6f483 GIT binary patch literal 10514 zcmZ8nWn5HW&|X4VnkA%bDe3O+MUWB@q#Gm@TskF}?ov`(Kw=Rj1d;BPl#r0_?)UP4 zzr4Tq%ig;u=FH5UGxwS2o=7bX6+CQ8Y!C>9rwUWl0fA8EK_HZ8U<{z8jy@+JxKO~A z4B#){+QL08+-yK{)^9Cs=vAF9>}+&wEUdj<`)njZpl5ZeigLPMbGz9$dQ{ERvZ+f= z4`wC7qNJU=KegoYf-|sDNkOEt>_NJqvLMwbqNK}4a<_WRZ}Fv*al7A+tWrB1d~3-f zM75G?C}iAPfQ#b+3xn8>@gb9s)OZW#EZW&+B3qu7|}E-cNtoC?ZIa;%WiipJxl3SM0L(Ips}WeO<}yJjP#F7z!i= zl@_&gP~|KdGoBv&SrU<>95zdBi$8Tt{(K(?b2ZSxM>0PMw(TZX5w>TgRB-WF>)YxU zZmCAMc?Pg-$}!v5c8qM3y}fw9H(j2|Fagz-43YFIK7KEGF`~jo>M=CfdM`A;(w62R z_-1~y-Kj%At%x91=0d_NOZBq3W3}ygBxRy>z^rk?j+b@XFr=-Xm`yTL?5$ zRm_Nm0Po)ADtkJW=f}tPG5$JEbDuivM)lSQSB>y{(NH$X7pGW>$*7tyuC39o`laLA z{@8&Hm{YT=>vQzC6{M^baS_69#7UT#1OBe|~ay98ph zMV@AQ=!S%=DDA9mVrFZQWNR3v`9S|YhzXqkppaH{w(RLkU)=BZP9#VwsA z)h^$Bf$BalKV)c;wu9vyn8(8Uh_-r)K6R|o{WEJ05Ot`Fo_0U-$(b5>%Tv5Cy7Bg7 z$%+uCC!Xwv&89m05y|~zAcfqU2wbkd_=)-o?wqp|0%+ez{!~HbO*lr*y3@YrX_}we zH@p^OE$Q+suFHqnKNr+I$Jt~Xvnrvd7ISavBJ{b8aAsdJ(F`-oE0$PgsAMyT*v{1o z^#9d?$ed3KPi5pb2+6$qO|~y`+dAOtZBj?%RS~qhzqjNTuH{i~MWVud#z(r!jEz zGC|6=bW+}##t%)30dEdc_@7S?4={7K@AIrRd`$C4;~;+VZ^QM4vw5l$8RT`fps=xa zcR43K$A(ocx`<1BqQp_789OV><*5T5$7=PuYVKhZ|I@c-!9#gh1~XUm^@;-pSu_)@ zLX-|1McGcbFoeSmmD~BEs&MxF(3wluaK+Y+x!u-9+fMGfzd!FSK#HY4_fR;oX>L)y_T8dx z=zYUzob7~%K2<_RU$}y2$-+c_<$BY;b1JO_CEiN19GV(_Jt3CYb9cK;50EB|P_Xk| zdeb*^BC84ElLtjVcGK|*VNWVE1964hHd2}8<}qARr_#UVZz8%WnCJDvOD5}QcZM;` zLfhOshsMiHtW`$bE!_et3(PyIKYlf8re@$>ERvZn+TZ4!G!HQu%4H8627H5A5Sc49 z`tDD;$#}kVyl!X@iFGMd7CNXXfr_IF`bs~grI4C$@GD9=Aw4DuIZPDG-g^}Vr&IGh|bINg+&zqq3r zW=-eJRd@R{?s##MqErR@A< z^SAsa(DGqyo0FsGa|HgC&qu#7;!H(qxrqMtbQbjSNu-|W8Co0oaY3Ms6&xTR^f@K} z*>T-?nznMjV_ZW^SROlnh;!B9==+c_R89Y?LO&9?H@?0)dFq^7<+3*&WxJ=5>R-RV zfNA?d{a<|I@H+oH4_$0(Z)r9l)4AZ)4 z6t;GH85ln$Detp1D+Yt!*sLBRnAgRpn=;=XK1BT8b877!`Ba_Y&#mqvrrk%X}r zG(%4rF=3zLr_y`vM}8)whs{C6^apUvR&-0rX zL=4eKLTXf1Pj*5_X>2X|>Zson2@YEMM5?df@$n+@&gZXBOso_fzi;~O9W1>Hkl z>{XiDJKyNh0=~Y>i5j=!a2#>NfYGQ^_2UkV4DsU+%mLMl#g5q&zTV3~wrS%E=*n#EopS@`n-( zd$AyYgef(`kUp?w$@WDz+c} zF@~Pq>tp?k+eTwJ@M`QI?x$|_{#kxA>ga2O9qp>sbA{uB<_(Ffk34dL<5B{ZojnbOIJPBP0+dBk~d=UKn@s;e~F0c*3LS{Ss(j#6QoEXWnp zocS~HbJ=XEq^}^A#V^FDD<_6qqTg3V2{z**(PX5cD_%B2UiwzXRWzwxuhi;No!8ch z%xNrB93M{A<`c9LSxt()fApvTWFhlSj%GS55pB;nj%LK^56PC>qJ_=j>$o19*<*go z35?r03!jE2$@*m$7fmGD25p)qyW75!u;z4DQdZcWH5rCF!Z0hi(#riFGr z7S2Q=PWcB$2jQpmhW%pSBxx#Q&lB~jcdV7iclu=;#h)t$vu_2+Q~0;5mCB_M6|QS< z=dV+wn=WI7*$(^^7Lb3V%SQ9%+4%eIp-!5iKR+5qtLyzd1{9xc8f`O5VqzK#i#u*@ z8ka{tAANRwZ0|3!<$zlv;hEKg(>5G4x;+*@ptcU5>hDl0&|guUGx+?;KBpIVRBYl8 z56s6vBcgcSi`dg-%4Y?{u-wsPj z_gmc{ZY#XtMZN{r?l39G%Z)(ygcl-ZobzwIC53Jg(0_I)+atbd-S_XvY{#y~;JWx} zz2Z^^uH2O$4T=-^-Me;2=IR>!Dis-fB+0QS&BFZlLnhZ2E{SFp2bj>lEF63Mo%YOx z^fRhamF=off@$>rj%VTzTnX`}=)1>Zyx)`6NX(19wDludM5nb487AI)H-aZ)Enia~zLKSk=sWx6uxGxaeV=OkLMY;@DRDlmVTGMjQ% z2HrDpVM6N&2pH}S^SoQNCmSg7TqeNJ#h`>ffdNdXhHVCP&se6Uxg9Y%3Es5UhTuZx zNF!%ORjWJrjq-)^=3g^<5l{8#t5S$x_;jM$z^(A9E;BQaTE2f4Z9QB#L`I_1Br73C z^%=8xKRszugTn=|j-E7%41EdeGaewmc$hR&E{HE5*KRrUoibR&3$(=GBKX*rq=pzR zPRZ8aZZDT%+cy#lj{dr2{z~Z(h$rkRgFH-2l9ZC(wqgW47QoE{bW#|Gf*IuIi%5fPEOSyX&9DB768&;+o?YGN zQ?w67=UYL07qmXi&gz?n{W-!TIcTd>>9IncBe0G3FChRD2Z}6H29^J`S7VV4s&sBYKwwq$#?fx?Zub|OG2e93wTgOm=UNj3I_^k(S7%lT-7xd#c^K|(mQv*B#+6yJ^H<&; 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    {{ site.title | default: site.github.repository_name }}

    {{ site.description | default: site.github.project_tagline }}

    - NAG Logo + NAG Logo
    {% if site.show_downloads %} From a749824f5d1d52ca400efe011f183678c5cefb7b Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 15:40:02 +0200 Subject: [PATCH 059/196] Made the logo smaller --- _layouts/default.html | 6 +++--- assets/css/style.scss | 5 ++++- 2 files changed, 7 insertions(+), 4 deletions(-) diff --git a/_layouts/default.html b/_layouts/default.html index cf3d781..f767a48 100644 --- a/_layouts/default.html +++ b/_layouts/default.html @@ -23,12 +23,12 @@ View on GitHub {% endif %} + +
    +

    {{ site.title | default: site.github.repository_name }}

    {{ site.description | default: site.github.project_tagline }}

    - NAG Logo -
    - {% if site.show_downloads %}
    Download this project as a .zip file diff --git a/assets/css/style.scss b/assets/css/style.scss index 45e1b34..fd6a795 100644 --- a/assets/css/style.scss +++ b/assets/css/style.scss @@ -12,4 +12,7 @@ table { margin-left: auto; } - +#nag_logo { + border: none; + size: 50%; +} From f02084b34d15e6e0bf0d6628678a993572974f0d Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 15:41:43 +0200 Subject: [PATCH 060/196] Made the logo smaller --- assets/css/style.scss | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/assets/css/style.scss b/assets/css/style.scss index fd6a795..6a9a950 100644 --- a/assets/css/style.scss +++ b/assets/css/style.scss @@ -14,5 +14,7 @@ table { #nag_logo { border: none; - size: 50%; + box-shadow: none; + height: 50%; + width: 50%; } From 5788030b8ea5a0ca69ca638aa45817bb99618d42 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 15:46:03 +0200 Subject: [PATCH 061/196] Made the logo float right --- _layouts/default.html | 10 ++++++---- assets/css/style.scss | 4 ++-- 2 files changed, 8 insertions(+), 6 deletions(-) diff --git a/_layouts/default.html b/_layouts/default.html index f767a48..b7745fa 100644 --- a/_layouts/default.html +++ b/_layouts/default.html @@ -23,12 +23,14 @@ View on GitHub {% endif %} - +
    +

    {{ site.title | default: site.github.repository_name }}

    +

    {{ site.description | default: site.github.project_tagline }}

    + +
    -

    {{ site.title | default: site.github.repository_name }}

    -

    {{ site.description | default: site.github.project_tagline }}

    - {% if site.show_downloads %}
    Download this project as a .zip file diff --git a/assets/css/style.scss b/assets/css/style.scss index 6a9a950..f8a6e52 100644 --- a/assets/css/style.scss +++ b/assets/css/style.scss @@ -15,6 +15,6 @@ table { #nag_logo { border: none; box-shadow: none; - height: 50%; - width: 50%; + max-height: 50%; + max-width: 50%; } From b0bda13e5e545d7d4191b06b915b00c8189eb0b2 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 15:48:47 +0200 Subject: [PATCH 062/196] Made the logo smaller --- _layouts/default.html | 4 ++-- assets/css/style.scss | 4 ++-- 2 files changed, 4 insertions(+), 4 deletions(-) diff --git a/_layouts/default.html b/_layouts/default.html index b7745fa..27e3a74 100644 --- a/_layouts/default.html +++ b/_layouts/default.html @@ -26,8 +26,8 @@

    {{ site.title | default: site.github.repository_name }}

    {{ site.description | default: site.github.project_tagline }}

    - +

    diff --git a/assets/css/style.scss b/assets/css/style.scss index f8a6e52..83dae44 100644 --- a/assets/css/style.scss +++ b/assets/css/style.scss @@ -15,6 +15,6 @@ table { #nag_logo { border: none; box-shadow: none; - max-height: 50%; - max-width: 50%; + max-height: 10%; + max-width: 10%; } From 0a2e091069a2a2e6c3edb9e9568032fd280476fe Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 15:51:18 +0200 Subject: [PATCH 063/196] Made the logo slightly bigger --- _layouts/default.html | 6 +++--- assets/css/style.scss | 4 ++-- 2 files changed, 5 insertions(+), 5 deletions(-) diff --git a/_layouts/default.html b/_layouts/default.html index 27e3a74..c716bbc 100644 --- a/_layouts/default.html +++ b/_layouts/default.html @@ -24,10 +24,10 @@ {% endif %}
    -

    {{ site.title | default: site.github.repository_name }}

    -

    {{ site.description | default: site.github.project_tagline }}

    + alt="NAG Logo">

    +

    {{ site.title | default: site.github.repository_name }}

    +

    {{ site.description | default: site.github.project_tagline }}

    diff --git a/assets/css/style.scss b/assets/css/style.scss index 83dae44..f8cbfb4 100644 --- a/assets/css/style.scss +++ b/assets/css/style.scss @@ -15,6 +15,6 @@ table { #nag_logo { border: none; box-shadow: none; - max-height: 10%; - max-width: 10%; + max-height: 20%; + max-width: 20%; } From 7db5c5d9dae13914650c073e46987f8259c0ce75 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 15:53:22 +0200 Subject: [PATCH 064/196] Added debug styling borders --- _layouts/default.html | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/_layouts/default.html b/_layouts/default.html index c716bbc..2ea3a4e 100644 --- a/_layouts/default.html +++ b/_layouts/default.html @@ -23,8 +23,8 @@ View on GitHub {% endif %} -
    -

    +

    {{ site.title | default: site.github.repository_name }}

    {{ site.description | default: site.github.project_tagline }}

    From 6293417e16a5182a7dc2295cabfd73e587930d04 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 15:56:31 +0200 Subject: [PATCH 065/196] Updated debug style --- _layouts/default.html | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/_layouts/default.html b/_layouts/default.html index 2ea3a4e..7d608de 100644 --- a/_layouts/default.html +++ b/_layouts/default.html @@ -23,8 +23,8 @@ View on GitHub {% endif %} -
    -

    +

    {{ site.title | default: site.github.repository_name }}

    {{ site.description | default: site.github.project_tagline }}

    From 2748722eaf3e61fed7bbf6eadcfb7358ce575280 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 16:04:16 +0200 Subject: [PATCH 066/196] Updated styling --- _layouts/default.html | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_layouts/default.html b/_layouts/default.html index 7d608de..287e024 100644 --- a/_layouts/default.html +++ b/_layouts/default.html @@ -24,7 +24,7 @@ {% endif %}
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    From 59ced1c820d934afea37ebd04ba9043daac2242c Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 16:08:26 +0200 Subject: [PATCH 067/196] Update styling --- _layouts/default.html | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_layouts/default.html b/_layouts/default.html index 287e024..d44d5a0 100644 --- a/_layouts/default.html +++ b/_layouts/default.html @@ -24,7 +24,7 @@ {% endif %}
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    {{ site.title | default: site.github.repository_name }}

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    From 281b82d1e76f24caeb4c6de872fd1031150ed57a Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 16:15:30 +0200 Subject: [PATCH 068/196] Update styling --- _layouts/default.html | 2 +- assets/css/style.scss | 4 ++-- 2 files changed, 3 insertions(+), 3 deletions(-) diff --git a/_layouts/default.html b/_layouts/default.html index d44d5a0..7d608de 100644 --- a/_layouts/default.html +++ b/_layouts/default.html @@ -24,7 +24,7 @@ {% endif %}
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    {{ site.title | default: site.github.repository_name }}

    {{ site.description | default: site.github.project_tagline }}

    diff --git a/assets/css/style.scss b/assets/css/style.scss index f8cbfb4..d9a1e0f 100644 --- a/assets/css/style.scss +++ b/assets/css/style.scss @@ -15,6 +15,6 @@ table { #nag_logo { border: none; box-shadow: none; - max-height: 20%; - max-width: 20%; + max-height: 74px; + max-width: 144.5px; } From e6c9266682005244d107404336f09970ee5bdd96 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 16:17:45 +0200 Subject: [PATCH 069/196] Removed debug borders --- _layouts/default.html | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/_layouts/default.html b/_layouts/default.html index 7d608de..c716bbc 100644 --- a/_layouts/default.html +++ b/_layouts/default.html @@ -23,8 +23,8 @@ View on GitHub {% endif %} -
    -

    +

    {{ site.title | default: site.github.repository_name }}

    {{ site.description | default: site.github.project_tagline }}

    From 8b3bbc8753ef17d17cdb2f0ba44cb324896eaba4 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 16:20:32 +0200 Subject: [PATCH 070/196] Updated Readme --- README.md | 3 +-- 1 file changed, 1 insertion(+), 2 deletions(-) diff --git a/README.md b/README.md index ed97478..cb26580 100644 --- a/README.md +++ b/README.md @@ -1,7 +1,6 @@ > ## Important Information > This repository is still under development. - - +> To see the documentation and a better view of this repository click [here](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/). # Examples using the NAG Library for Java From d48f07f8b68ae5b335f012d4f2d2db4c7359045a Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 17:06:57 +0200 Subject: [PATCH 071/196] Updated ncm Readme with output --- nearest_correlation_matrices/Readme.md | 39 ++++++++++++++- nearest_correlation_matrices/generate_img.py | 48 +++++++++++++++++++ nearest_correlation_matrices/img/G02AA.png | Bin 0 -> 29182 bytes 3 files changed, 86 insertions(+), 1 deletion(-) create mode 100644 nearest_correlation_matrices/generate_img.py create mode 100644 nearest_correlation_matrices/img/G02AA.png diff --git a/nearest_correlation_matrices/Readme.md b/nearest_correlation_matrices/Readme.md index 90543b4..a29c50e 100644 --- a/nearest_correlation_matrices/Readme.md +++ b/nearest_correlation_matrices/Readme.md @@ -1,8 +1,11 @@ +> ## Important Information +> To properly read the documentation click [here](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/). + # Nearest Correlation Matrices This notebook looks at computing *nearest correlation matrices* using the NAG Library for *Java*. -The source of this example is in [NcmNag.java](./NcmNag.java). +The source of this example can be found [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/nearest_correlation_matrices/NcmNag.java). ## Correlation Matrices @@ -208,6 +211,18 @@ public static double[][] cor_bar(double[][] P) { double[][] G = cor_bar(P); ``` +``` +The approximate correlation matrix + 1.0000 -0.3250 0.1881 0.5760 0.0064 -0.6111 -0.0724 -0.1589 + -0.3250 1.0000 0.2048 0.2436 0.4058 0.2730 0.2869 0.4241 + 0.1881 0.2048 1.0000 -0.1325 0.7658 0.2765 -0.6172 0.9006 + 0.5760 0.2436 -0.1325 1.0000 0.3041 0.0126 0.6452 -0.3210 + 0.0064 0.4058 0.7658 0.3041 1.0000 0.6652 -0.3293 0.9939 + -0.6111 0.2730 0.2765 0.0126 0.6652 1.0000 0.0492 0.5964 + -0.0724 0.2869 -0.6172 0.6452 -0.3293 0.0492 1.0000 -0.3983 + -0.1589 0.4241 0.9006 -0.3210 0.9939 0.5964 -0.3983 1.0000 +``` + ### Compute the eigenvalues of our (indefinite) *G*. * We see below that our matrix $$G$$ is not a mathematically true correlation matrix. @@ -232,6 +247,10 @@ f08na.eval(jobvl, jobvr, n, G1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, i Arrays.sort(wr); ``` +``` +Sorted eigenvalues of G: -0.2498 -0.0160 0.0895 0.2192 0.7072 1.7534 1.9611 3.5355 +``` + # Nearest Correlation Matrices * Our problem now is to solve: @@ -282,6 +301,18 @@ double[][] X = convert1DTo2D(X1d, ldx); iter = g02aa.getITER(); ``` +``` +Nearest correlation matrix + 1.0000 -0.3112 0.1889 0.5396 0.0268 -0.5925 -0.0621 -0.1921 + -0.3112 1.0000 0.2050 0.2265 0.4148 0.2822 0.2915 0.4088 + 0.1889 0.2050 1.0000 -0.1468 0.7880 0.2727 -0.6085 0.8802 + 0.5396 0.2265 -0.1468 1.0000 0.2137 0.0015 0.6069 -0.2208 + 0.0268 0.4148 0.7880 0.2137 1.0000 0.6580 -0.2812 0.8762 + -0.5925 0.2822 0.2727 0.0015 0.6580 1.0000 0.0479 0.5932 + -0.0621 0.2915 -0.6085 0.6069 -0.2812 0.0479 1.0000 -0.4470 + -0.1921 0.4088 0.8802 -0.2208 0.8762 0.5932 -0.4470 1.0000 +``` + ```java jobvl = "N"; jobvr = "N"; @@ -300,6 +331,12 @@ f08na.eval(jobvl, jobvr, n, X1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, i Arrays.sort(wr); ``` +``` +Sorted eigenvalues of X: -0.0000 0.0000 0.0380 0.1731 0.6894 1.7117 1.9217 3.4661 +``` + +![$$|G-X|$$ for G02AA](./img/G02AA.png) + # Weighting rows and columns of elements * Now, we note that for Stocks A to C we have a complete set of observations. diff --git a/nearest_correlation_matrices/generate_img.py b/nearest_correlation_matrices/generate_img.py new file mode 100644 index 0000000..289f1a6 --- /dev/null +++ b/nearest_correlation_matrices/generate_img.py @@ -0,0 +1,48 @@ +import numpy as np +import matplotlib.pyplot as plt +from pathlib import Path + +# Set the print precision +np.set_printoptions(precision=4, suppress=True) + +# Set the data folder path +data_folder = Path("data") + +def read_matrix_file(fname): + with open(data_folder / fname) as fdata: + a = np.array([line.split() for line in fdata], dtype = np.float64) + return a + +def read_data_file(fname): + with open(data_folder / fname) as fdata: + for i, line in enumerate(fdata): + if i == 0: + itr = int(line) + elif i == 1: + norm = float(line) + elif i == 2: + a = np.array([float(lts) for lts in line.split()], dtype = np.float64) + else: + a = np.vstack([a, [float(lts) for lts in line.split()]]) + return itr, norm, a + +itr, norm, X_G = read_data_file("G02AA.d") + +# 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    + ```java public static double[][] cor_bar(double[][] P) { double[][] S, D; @@ -211,6 +213,8 @@ public static double[][] cor_bar(double[][] P) { double[][] G = cor_bar(P); ``` +
    + ``` The approximate correlation matrix 1.0000 -0.3250 0.1881 0.5760 0.0064 -0.6111 -0.0724 -0.1589 @@ -247,6 +251,8 @@ f08na.eval(jobvl, jobvr, n, G1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, i Arrays.sort(wr); ``` +
    + ``` Sorted eigenvalues of G: -0.2498 -0.0160 0.0895 0.2192 0.7072 1.7534 1.9611 3.5355 ``` @@ -301,6 +307,8 @@ double[][] X = convert1DTo2D(X1d, ldx); iter = g02aa.getITER(); ``` +
    + ``` Nearest correlation matrix 1.0000 -0.3112 0.1889 0.5396 0.0268 -0.5925 -0.0621 -0.1921 @@ -313,6 +321,8 @@ Nearest correlation matrix -0.1921 0.4088 0.8802 -0.2208 0.8762 0.5932 -0.4470 1.0000 ``` +
    + ```java jobvl = "N"; jobvr = "N"; @@ -331,11 +341,13 @@ f08na.eval(jobvl, jobvr, n, X1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, i Arrays.sort(wr); ``` +
    + ``` Sorted eigenvalues of X: -0.0000 0.0000 0.0380 0.1731 0.6894 1.7117 1.9217 3.4661 ``` -![$$|G-X|$$ for G02AA](./img/G02AA.png) +![$$|G-X|$$ for G02AA](img/G02AA.png) # Weighting rows and columns of elements From dc15db26df16a3667e463e88eb005789b803a10e Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 17:16:03 +0200 Subject: [PATCH 073/196] Updated ncm Readme --- nearest_correlation_matrices/Readme.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/nearest_correlation_matrices/Readme.md b/nearest_correlation_matrices/Readme.md index d6c1b62..148323a 100644 --- a/nearest_correlation_matrices/Readme.md +++ b/nearest_correlation_matrices/Readme.md @@ -347,7 +347,7 @@ Arrays.sort(wr); Sorted eigenvalues of X: -0.0000 0.0000 0.0380 0.1731 0.6894 1.7117 1.9217 3.4661 ``` -![$$|G-X|$$ for G02AA](img/G02AA.png) +![|G-X| for G02AA](img/G02AA.png) # Weighting rows and columns of elements From 13a427fb3c13d68ece8b65d823ee8d1388de62d3 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 17:17:38 +0200 Subject: [PATCH 074/196] Updated ncm Readme --- nearest_correlation_matrices/Readme.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/nearest_correlation_matrices/Readme.md b/nearest_correlation_matrices/Readme.md index 148323a..b2ff310 100644 --- a/nearest_correlation_matrices/Readme.md +++ b/nearest_correlation_matrices/Readme.md @@ -347,7 +347,7 @@ Arrays.sort(wr); Sorted eigenvalues of X: -0.0000 0.0000 0.0380 0.1731 0.6894 1.7117 1.9217 3.4661 ``` -![|G-X| for G02AA](img/G02AA.png) +![\|G-X\| for G02AA](img/G02AA.png) # Weighting rows and columns of elements From f25381c2ed4d6ccad0df425f0780d8e2130ed22c Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 17:27:45 +0200 Subject: [PATCH 075/196] G02AA img to center --- nearest_correlation_matrices/Readme.md | 28 +++++++++++++++++++++++++- 1 file changed, 27 insertions(+), 1 deletion(-) diff --git a/nearest_correlation_matrices/Readme.md b/nearest_correlation_matrices/Readme.md index b2ff310..1c1adf7 100644 --- a/nearest_correlation_matrices/Readme.md +++ b/nearest_correlation_matrices/Readme.md @@ -347,7 +347,10 @@ Arrays.sort(wr); Sorted eigenvalues of X: -0.0000 0.0000 0.0380 0.1731 0.6894 1.7117 1.9217 3.4661 ``` -![\|G-X\| for G02AA](img/G02AA.png) + +

    + +
    # Weighting rows and columns of elements @@ -412,6 +415,23 @@ X = convert1DTo2D(X1d, ldx); iter = g02ab.getITER(); ``` +
    + +``` +Nearest correlation matrix using row and column weighting + 1.0000 -0.3250 0.1881 0.5739 0.0067 -0.6097 -0.0722 -0.1598 + -0.3250 1.0000 0.2048 0.2426 0.4060 0.2737 0.2870 0.4236 + 0.1881 0.2048 1.0000 -0.1322 0.7661 0.2759 -0.6171 0.9004 + 0.5739 0.2426 -0.1322 1.0000 0.2085 -0.0890 0.5954 -0.1805 + 0.0067 0.4060 0.7661 0.2085 1.0000 0.6556 -0.2780 0.8757 + -0.6097 0.2737 0.2759 -0.0890 0.6556 1.0000 0.0490 0.5746 + -0.0722 0.2870 -0.6171 0.5954 -0.2780 0.0490 1.0000 -0.4550 + -0.1598 0.4236 0.9004 -0.1805 0.8757 0.5746 -0.4550 1.0000 + +``` + +
    + ```java jobvl = "N"; jobvr = "N"; @@ -430,6 +450,12 @@ f08na.eval(jobvl, jobvr, n, X1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, i Arrays.sort(wr); ``` +
    + +``` +Sorted eigenvalues of X: 0.0010 0.0010 0.0305 0.1646 0.6764 1.7716 1.8910 3.4639 +``` + # Weighting Individual Elements * Would it be better to be able to *weight individual elements* in our approximate matrix? From 2b4c8de7bf62e61f10fdb3d6c4af7672e1a81f63 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 17:29:32 +0200 Subject: [PATCH 076/196] G02AA img to center (added src) --- nearest_correlation_matrices/Readme.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/nearest_correlation_matrices/Readme.md b/nearest_correlation_matrices/Readme.md index 1c1adf7..8f2ccd8 100644 --- a/nearest_correlation_matrices/Readme.md +++ b/nearest_correlation_matrices/Readme.md @@ -349,7 +349,7 @@ Sorted eigenvalues of X: -0.0000 0.0000 0.0380 0.1731 0.6894 1.7117
    - +
    # Weighting rows and columns of elements From 874da8ae8f3ea4b6261e15292817483949a859bc Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 17:46:47 +0200 Subject: [PATCH 077/196] Updated ncm Readme --- nearest_correlation_matrices/Readme.md | 88 +++++++++++++++++-- nearest_correlation_matrices/generate_img.py | 59 +++++++++++++ nearest_correlation_matrices/img/G02AB.png | Bin 0 -> 28927 bytes nearest_correlation_matrices/img/G02AJ.png | Bin 0 -> 29570 bytes nearest_correlation_matrices/img/G02AN.png | Bin 0 -> 29115 bytes 5 files changed, 141 insertions(+), 6 deletions(-) create mode 100644 nearest_correlation_matrices/img/G02AB.png create mode 100644 nearest_correlation_matrices/img/G02AJ.png create mode 100644 nearest_correlation_matrices/img/G02AN.png diff --git a/nearest_correlation_matrices/Readme.md b/nearest_correlation_matrices/Readme.md index 8f2ccd8..562acea 100644 --- a/nearest_correlation_matrices/Readme.md +++ b/nearest_correlation_matrices/Readme.md @@ -347,7 +347,6 @@ Arrays.sort(wr); Sorted eigenvalues of X: -0.0000 0.0000 0.0380 0.1731 0.6894 1.7117 1.9217 3.4661 ``` -
    @@ -415,7 +414,7 @@ X = convert1DTo2D(X1d, ldx); iter = g02ab.getITER(); ``` -
    +
    ``` Nearest correlation matrix using row and column weighting @@ -430,7 +429,7 @@ Nearest correlation matrix using row and column weighting ``` -
    +
    ```java jobvl = "N"; @@ -450,12 +449,18 @@ f08na.eval(jobvl, jobvr, n, X1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, i Arrays.sort(wr); ``` -
    +
    ``` Sorted eigenvalues of X: 0.0010 0.0010 0.0305 0.1646 0.6764 1.7716 1.8910 3.4639 ``` +
    + +
    + +
    + # Weighting Individual Elements * Would it be better to be able to *weight individual elements* in our approximate matrix? @@ -470,7 +475,7 @@ Sorted eigenvalues of X: 0.0010 0.0010 0.0305 0.1646 0.6764 1.7716 $$ \Large \|H \circ(G-X) \|_F $$ -* So individually $$h_{ij} \times (g_{ij} – x_{ij}).$$ +* So individually $$h_{ij} \times (g_{ij} \minus x_{ij}).$$ * However, this is a more “difficult” problem, and more computationally expensive. @@ -495,6 +500,21 @@ for (int i = 0; i < n; i++) { } ``` +
    + +``` +100.0000 100.0000 100.0000 1.0000 1.0000 1.0000 1.0000 1.0000 +100.0000 100.0000 100.0000 1.0000 1.0000 1.0000 1.0000 1.0000 +100.0000 100.0000 100.0000 1.0000 1.0000 1.0000 1.0000 1.0000 + 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 + 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 + 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 + 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 + 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 +``` + +
    + ```java // Call the NAG routine specifying a minimum eigenvalue G02AJ g02aj = new G02AJ(); @@ -517,6 +537,22 @@ X = convert1DTo2D(X1d, ldx); iter = g02aj.getITER(); ``` +
    + +``` +Nearest correlation matrix using element-wise weighting + 1.0000 -0.3251 0.1881 0.5371 0.0255 -0.5893 -0.0625 -0.1929 + -0.3251 1.0000 0.2048 0.2249 0.4144 0.2841 0.2914 0.4081 + 0.1881 0.2048 1.0000 -0.1462 0.7883 0.2718 -0.6084 0.8804 + 0.5371 0.2249 -0.1462 1.0000 0.2138 -0.0002 0.6070 -0.2199 + 0.0255 0.4144 0.7883 0.2138 1.0000 0.6566 -0.2807 0.8756 + -0.5893 0.2841 0.2718 -0.0002 0.6566 1.0000 0.0474 0.5930 + -0.0625 0.2914 -0.6084 0.6070 -0.2807 0.0474 1.0000 -0.4471 + -0.1929 0.4081 0.8804 -0.2199 0.8756 0.5930 -0.4471 1.0000 +``` + +
    + ```java jobvl = "N"; jobvr = "N"; @@ -533,9 +569,20 @@ work = new double[lwork]; info = 0; f08na.eval(jobvl, jobvr, n, X1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, info); Arrays.sort(wr); -Arrays.sort(wi); ``` +
    + +``` +Sorted eigenvalues of X: 0.0010 0.0010 0.0375 0.1734 0.6882 1.7106 1.9224 3.4660 +``` + +
    + +
    + +
    + # Fixing a Block of Elements * We probably really wish to *fix* our leading block of true correlations, so it does not change at all. @@ -591,6 +638,22 @@ iter = g02an.getITER(); alpha = g02an.getALPHA(); ``` +
    + +``` +Nearest correlation matrix with fixed leading block + 1.0000 -0.3250 0.1881 0.4606 0.0051 -0.4887 -0.0579 -0.1271 + -0.3250 1.0000 0.2048 0.1948 0.3245 0.2183 0.2294 0.3391 + 0.1881 0.2048 1.0000 -0.1060 0.6124 0.2211 -0.4936 0.7202 + 0.4606 0.1948 -0.1060 1.0000 0.2432 0.0101 0.5160 -0.2567 + 0.0051 0.3245 0.6124 0.2432 1.0000 0.5320 -0.2634 0.7949 + -0.4887 0.2183 0.2211 0.0101 0.5320 1.0000 0.0393 0.4769 + -0.0579 0.2294 -0.4936 0.5160 -0.2634 0.0393 1.0000 -0.3185 + -0.1271 0.3391 0.7202 -0.2567 0.7949 0.4769 -0.3185 1.0000 + ``` + +
    + ```java jobvl = "N"; jobvr = "N"; @@ -609,6 +672,19 @@ f08na.eval(jobvl, jobvr, n, X1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, i Arrays.sort(wr); ``` +
    + +``` +Sorted eigenvalues of X: 0.0000 0.1375 0.2744 0.3804 0.7768 1.6263 1.7689 3.0356 +Value of alpha returned: 0.2003 +``` + +
    + +
    + +
    + # Fixing Arbitrary Elements * The routine **G02AP** fixes arbitrary elements by finding the smallest α, such that *X* is a true correlation matrix in: diff --git a/nearest_correlation_matrices/generate_img.py b/nearest_correlation_matrices/generate_img.py index 289f1a6..a16e400 100644 --- a/nearest_correlation_matrices/generate_img.py +++ b/nearest_correlation_matrices/generate_img.py @@ -26,6 +26,7 @@ def read_data_file(fname): a = np.vstack([a, [float(lts) for lts in line.split()]]) return itr, norm, a +# G02AA itr, norm, X_G = read_data_file("G02AA.d") # Plot the difference between G and X as a small shaded square for each element @@ -45,4 +46,62 @@ def read_data_file(fname): ) plt.savefig("./img/G02AA.png") +# G02AB +itr, norm, X_G = read_data_file("G02AB.d") +fig1, ax1 = plt.subplots(figsize=(14, 7)) +cax1 = ax1.imshow(X_G, interpolation='none', cmap=plt.cm.Blues, vmin=0, + vmax=0.2) +cbar = fig1.colorbar(cax1, ticks = np.linspace(0.0, 0.2, 11, endpoint=True), + boundaries=np.linspace(0.0, 0.2, 11, endpoint=True)) +cbar.mappable.set_clim([0, 0.2]) +ax1.tick_params(axis='both', which='both', + bottom='off', top='off', left='off', right='off', + labelbottom='off', labelleft='off') + +ax1.set_title(r'$|G-X|$ for G02AB', fontsize=16) +plt.xlabel( + r'Iterations: {0}, $||G-X||_F = {1:.4f}$'.format(itr, norm), + fontsize=14, +) +plt.savefig("./img/G02AB.png") + +# G02AJ +itr, norm, X_G = read_data_file("G02AJ.d") + +fig1, ax1 = plt.subplots(figsize=(14, 7)) +cax1 = ax1.imshow(X_G, interpolation='none', cmap=plt.cm.Blues, vmin=0, + vmax=0.2) +cbar = fig1.colorbar(cax1, ticks = np.linspace(0.0, 0.2, 11, endpoint=True), + boundaries=np.linspace(0.0, 0.2, 11, endpoint=True)) +cbar.mappable.set_clim([0, 0.2]) +ax1.tick_params(axis='both', which='both', + bottom='off', top='off', left='off', right='off', + labelbottom='off', labelleft='off') + +ax1.set_title(r'$|G-X|$ for G02AJ', fontsize=16) +plt.xlabel( + r'Iterations: {0}, $||G-X||_F = {1:.4f}$'.format(itr, norm), + fontsize=14, +) +plt.savefig("./img/G02AJ.png") + +# G02AN +itr, norm, X_G = read_data_file("G02AN.d") + +fig1, ax1 = plt.subplots(figsize=(14, 7)) +cax1 = ax1.imshow(X_G, interpolation='none', cmap=plt.cm.Blues, vmin=0, + vmax=0.2) +cbar = fig1.colorbar(cax1, ticks = np.linspace(0.0, 0.2, 11, endpoint=True), + boundaries=np.linspace(0.0, 0.2, 11, endpoint=True)) +cbar.mappable.set_clim([0, 0.2]) +ax1.tick_params(axis='both', which='both', + bottom='off', top='off', left='off', right='off', + labelbottom='off', labelleft='off') + +ax1.set_title(r'$|G-X|$ for G02AN', fontsize=16) +plt.xlabel( + r'Iterations: {0}, $||G-X||_F = {1:.4f}$'.format(itr, norm), + fontsize=14, +) +plt.savefig("./img/G02AN.png") diff --git a/nearest_correlation_matrices/img/G02AB.png b/nearest_correlation_matrices/img/G02AB.png new file mode 100644 index 0000000000000000000000000000000000000000..5513727365b68cd55b2c959b9f60abf14acd5ba5 GIT binary patch literal 28927 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z0Xva~=g&g`F1x^z4o=v4q$zD#{SqaEqNb*l)%Ii8E=OVv#CF?E4dA|flN3YH@&$Q$ zHyZmYpFh6=p=hpCU;iSKv zhv&dpU!#(}eI}X#R=XgW;5xJx7|6@Jpi=o6(5_tdcQ5)^d9M!Y8X&AGT5V zu+@Z3VNmy%tQiOLdOVubJ#%KCu)jRoV9TIPdWf|nwTS_bS$`5J#XeQWeY(pgH>WB7 zgAYC!28QQaLbGMcI3#FHnv*^T+-)u>DPdxe!fapU^oy^4zHykh?9R56_-^oG69qQC!qo$mSZnaQasoutzd(WSfa-i|*wVrCwLF)P++vWME1PO=Txc{v5bDqkxN*G8X@T4<=abHlOgcwr>j}k3;OE+*`Jn6>0aPeS`_O6=MsY< ObKuC=v0t6}?*9UOMrq6d literal 0 HcmV?d00001 From 9f5ba9603dc96636a430e295e4a3781d030a67da Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 12 Jan 2021 17:50:10 +0200 Subject: [PATCH 078/196] Small fix --- nearest_correlation_matrices/Readme.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/nearest_correlation_matrices/Readme.md b/nearest_correlation_matrices/Readme.md index 562acea..1e4e742 100644 --- a/nearest_correlation_matrices/Readme.md +++ b/nearest_correlation_matrices/Readme.md @@ -682,7 +682,7 @@ Value of alpha returned: 0.2003
    - +
    # Fixing Arbitrary Elements From 1a7e0ba23282b4b1f163e39e716cd5db55b716a4 Mon Sep 17 00:00:00 2001 From: Christos Date: Wed, 13 Jan 2021 10:52:27 +0200 Subject: [PATCH 079/196] Added link to the logo icon --- _layouts/default.html | 9 ++++++--- 1 file changed, 6 insertions(+), 3 deletions(-) diff --git a/_layouts/default.html b/_layouts/default.html index c716bbc..e32458d 100644 --- a/_layouts/default.html +++ b/_layouts/default.html @@ -24,10 +24,13 @@ {% endif %}
    -

    +

    + + + +

    {{ site.title | default: site.github.repository_name }}

    -

    {{ site.description | default: site.github.project_tagline }}

    +

    {{ site.description | default: site.github.project_tagline }}

    From 203db14806f6fd2a571384d5ae06650f6684c3c9 Mon Sep 17 00:00:00 2001 From: Christos Date: Wed, 13 Jan 2021 10:52:53 +0200 Subject: [PATCH 080/196] Fixed final link and minus latex symbol --- nearest_correlation_matrices/Readme.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/nearest_correlation_matrices/Readme.md b/nearest_correlation_matrices/Readme.md index 1e4e742..618dccb 100644 --- a/nearest_correlation_matrices/Readme.md +++ b/nearest_correlation_matrices/Readme.md @@ -475,7 +475,7 @@ Sorted eigenvalues of X: 0.0010 0.0010 0.0305 0.1646 0.6764 1.7716 $$ \Large \|H \circ(G-X) \|_F $$ -* So individually $$h_{ij} \times (g_{ij} \minus x_{ij}).$$ +* So individually $$h_{ij} \times (g_{ij} \- x_{ij}).$$ * However, this is a more “difficult” problem, and more computationally expensive. @@ -734,4 +734,4 @@ $$ X = \large \alpha T+(1-\alpha)G, \quad T = H \circ G, \quad h_{ij} \in [0,1] # More on using the NAG Library for *Java*: -**https://www.nag.com/content/nag-library-for-java** +**** From a5d39a5b4bfb76a4fd67ac953505f1d14ea9c079 Mon Sep 17 00:00:00 2001 From: Christos Date: Wed, 13 Jan 2021 10:56:20 +0200 Subject: [PATCH 081/196] Fixed minus symbol --- debug.log | 1 + nearest_correlation_matrices/Readme.md | 2 +- 2 files changed, 2 insertions(+), 1 deletion(-) create mode 100644 debug.log diff --git a/debug.log b/debug.log new file mode 100644 index 0000000..49a1365 --- /dev/null +++ b/debug.log @@ -0,0 +1 @@ +[0113/105617.913:ERROR:directory_reader_win.cc(43)] FindFirstFile: The system cannot find the path specified. (0x3) diff --git a/nearest_correlation_matrices/Readme.md b/nearest_correlation_matrices/Readme.md index 618dccb..b589930 100644 --- a/nearest_correlation_matrices/Readme.md +++ b/nearest_correlation_matrices/Readme.md @@ -475,7 +475,7 @@ Sorted eigenvalues of X: 0.0010 0.0010 0.0305 0.1646 0.6764 1.7716 $$ \Large \|H \circ(G-X) \|_F $$ -* So individually $$h_{ij} \times (g_{ij} \- x_{ij}).$$ +* So individually $$h_{ij} \times (g_{ij} - x_{ij}).$$ * However, this is a more “difficult” problem, and more computationally expensive. From a1ba3fb14495af7fafd15dc753a20c1533de8345 Mon Sep 17 00:00:00 2001 From: Christos Date: Wed, 13 Jan 2021 12:19:39 +0200 Subject: [PATCH 082/196] Removed unneeded data files --- nearest_correlation_matrices/NcmNag.java | 13 ------------ nearest_correlation_matrices/data/G.d | 8 -------- nearest_correlation_matrices/data/G02AA.d | 20 +++++++++---------- nearest_correlation_matrices/data/G02AB.d | 20 +++++++++---------- nearest_correlation_matrices/data/G02AJ.d | 20 +++++++++---------- nearest_correlation_matrices/data/G02AN.d | 20 +++++++++---------- nearest_correlation_matrices/data/G_eigen.d | 1 - nearest_correlation_matrices/data/H_G02AJ.d | 8 -------- nearest_correlation_matrices/data/X_G02AA.d | 8 -------- nearest_correlation_matrices/data/X_G02AB.d | 8 -------- nearest_correlation_matrices/data/X_G02AJ.d | 8 -------- nearest_correlation_matrices/data/X_G02AN.d | 8 -------- .../data/X_eigen_G02AA.d | 1 - .../data/X_eigen_G02AB.d | 1 - .../data/X_eigen_G02AJ.d | 1 - .../data/X_eigen_G02AN.d | 1 - .../data/alpha_G02AN.d | 1 - 17 files changed, 40 insertions(+), 107 deletions(-) delete mode 100644 nearest_correlation_matrices/data/G.d delete mode 100644 nearest_correlation_matrices/data/G_eigen.d delete mode 100644 nearest_correlation_matrices/data/H_G02AJ.d delete mode 100644 nearest_correlation_matrices/data/X_G02AA.d delete mode 100644 nearest_correlation_matrices/data/X_G02AB.d delete mode 100644 nearest_correlation_matrices/data/X_G02AJ.d delete mode 100644 nearest_correlation_matrices/data/X_G02AN.d delete mode 100644 nearest_correlation_matrices/data/X_eigen_G02AA.d delete mode 100644 nearest_correlation_matrices/data/X_eigen_G02AB.d delete mode 100644 nearest_correlation_matrices/data/X_eigen_G02AJ.d delete mode 100644 nearest_correlation_matrices/data/X_eigen_G02AN.d delete mode 100644 nearest_correlation_matrices/data/alpha_G02AN.d diff --git a/nearest_correlation_matrices/NcmNag.java b/nearest_correlation_matrices/NcmNag.java index f3c30c8..961c7b2 100644 --- a/nearest_correlation_matrices/NcmNag.java +++ b/nearest_correlation_matrices/NcmNag.java @@ -36,7 +36,6 @@ public static void main(String[] args) { double[][] G = cor_bar(P); System.out.println("The approximate correlation matrix"); printMatrix(G); - printMatrixToFile(G, "G.d"); System.out.println(); @@ -62,7 +61,6 @@ public static void main(String[] args) { System.out.print("Sorted eigenvalues of G: "); printVector(wr); - printVectorToFile(wr, "G_eigen.d"); System.out.println(); @@ -92,7 +90,6 @@ public static void main(String[] args) { System.out.println("Nearest correlation matrix"); printMatrix(X); - printMatrixToFile(X, "X_G02AA.d"); System.out.println(); @@ -114,7 +111,6 @@ public static void main(String[] args) { System.out.print("Sorted eigenvalues of X: "); printVector(wr); - printVectorToFile(wr, "X_eigen_G02AA.d"); System.out.println(); @@ -161,7 +157,6 @@ public static void main(String[] args) { System.out.println("Nearest correlation matrix using row and column weighting"); printMatrix(X); - printMatrixToFile(X, "X_G02AB.d"); System.out.println(); @@ -183,7 +178,6 @@ public static void main(String[] args) { System.out.print("Sorted eigenvalues of X: "); printVector(wr); - printVectorToFile(wr, "X_eigen_G02AB.d"); System.out.println(); @@ -216,7 +210,6 @@ public static void main(String[] args) { } } printMatrix(H); - printMatrixToFile(H, "H_G02AJ.d"); System.out.println(); @@ -242,7 +235,6 @@ public static void main(String[] args) { System.out.println("Nearest correlation matrix using element-wise weighting"); printMatrix(X); - printMatrixToFile(X, "X_G02AJ.d"); System.out.println(); @@ -264,7 +256,6 @@ public static void main(String[] args) { System.out.print("Sorted eigenvalues of X: "); printVector(wr); - printVectorToFile(wr, "X_eigen_G02AJ.d"); System.out.println(); @@ -307,7 +298,6 @@ public static void main(String[] args) { System.out.println("Nearest correlation matrix with fixed leading block"); printMatrix(X); - printMatrixToFile(X, "X_G02AN.d"); System.out.println(); @@ -329,10 +319,8 @@ public static void main(String[] args) { System.out.print("Sorted eigenvalues of X: "); printVector(wr); - printVectorToFile(wr, "X_eigen_G02AN.d"); System.out.printf("Value of alpha returned: %.4f\n", alpha); - printVectorToFile(new double[]{alpha}, "alpha_G02AN.d"); System.out.println(); @@ -346,7 +334,6 @@ public static void main(String[] args) { X_G_norm = f06rc.eval(norm, uplo, n, X_G1d, lda, work); printDataToFile("G02AN.d", iter, X_G, X_G_norm); - } /** diff --git a/nearest_correlation_matrices/data/G.d b/nearest_correlation_matrices/data/G.d deleted file mode 100644 index 71c5575..0000000 --- a/nearest_correlation_matrices/data/G.d +++ /dev/null @@ -1,8 +0,0 @@ -1.0 -0.3250029917945835 0.18814425997629136 0.5759508639629596 0.00640355776080848 -0.6111098444919633 -0.07240613328341335 -0.15893528307270638 --0.3250029917945835 1.0 0.20484152654833515 0.24360955555978517 0.40582420357130317 0.273020298287851 0.2868805375451461 0.4240671568750279 -0.1881442599762914 0.20484152654833518 1.0 -0.1325040936108396 0.7657991363667153 0.27646640778981524 -0.617183266829168 0.9005703206682636 -0.5759508639629596 0.24360955555978514 -0.13250409361083962 0.9999999999999998 0.30409424292463905 0.012596382998409861 0.645158339588759 -0.32102379456595537 -0.006403557760808479 0.40582420357130317 0.7657991363667153 0.304094242924639 1.0000000000000002 0.6651979348683132 -0.3293323685112022 0.9939281510877161 --0.6111098444919633 0.273020298287851 0.27646640778981524 0.012596382998409863 0.6651979348683132 0.9999999999999998 0.049172233461315856 0.5963589524568644 --0.07240613328341335 0.2868805375451461 -0.6171832668291679 0.645158339588759 -0.3293323685112022 0.049172233461315856 0.9999999999999999 -0.39827829557224775 --0.15893528307270638 0.42406715687502783 0.9005703206682635 -0.3210237945659553 0.993928151087716 0.5963589524568643 -0.3982782955722478 1.0000000000000002 diff --git a/nearest_correlation_matrices/data/G02AA.d b/nearest_correlation_matrices/data/G02AA.d index ad79122..55ed396 100644 --- a/nearest_correlation_matrices/data/G02AA.d +++ b/nearest_correlation_matrices/data/G02AA.d @@ -1,10 +1,10 @@ -3 -0.2959969817070778 -0.0 0.013815700430991396 7.366710963886136E-4 0.03635540303506091 0.02034779708157225 0.018640792841438603 0.010277120331962035 0.03313079901499455 -0.013815700430991396 0.0 1.836163361564891E-4 0.01707632265088571 0.009011302957805278 0.009183190094823324 0.004646613030236613 0.015279544615574847 -7.366710963885859E-4 1.8361633615646133E-4 0.0 0.014293377437387234 0.022160907986847334 0.003755895897555317 0.008723271763466434 0.020341681222662555 -0.03635540303506091 0.017076322650885684 0.014293377437387206 2.220446049250313E-16 0.0903873270564857 0.011108665944863202 0.03829235517819496 0.10025930306912842 -0.02034779708157225 0.009011302957805278 0.022160907986847334 0.09038732705648564 2.220446049250313E-16 0.007170761154141281 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52475cd..85f882b 100644 --- a/nearest_correlation_matrices/data/G02AB.d +++ b/nearest_correlation_matrices/data/G02AB.d @@ -1,10 +1,10 @@ -4 -0.3524228941273674 -0.0 1.2127569472830668E-5 7.195785961727763E-6 0.002038032317451921 3.353434369406643E-4 0.001459140067176179 2.2543497516450128E-4 8.700269518134296E-4 -1.2127569472830668E-5 0.0 3.3697723013370595E-6 0.0010287283953215043 2.0605535082529602E-4 7.060499939418041E-4 1.2971188999805205E-4 4.693987256226828E-4 -7.195785961755519E-6 3.369772301364815E-6 0.0 3.1606180612731016E-4 3.3451678969276255E-4 5.464856907395066E-4 1.3231874883401495E-4 1.8281093738581333E-4 -0.002038032317451921 0.0010287283953214765 3.160618061273379E-4 2.220446049250313E-16 0.09562569837460122 0.10161736192678256 0.0497455932654437 0.14048758269560868 -3.3534343694066517E-4 2.0605535082529602E-4 3.3451678969276255E-4 0.09562569837460116 2.220446049250313E-16 0.009591829656777184 0.05135556336768127 0.11827727452119219 -0.001459140067176179 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+++ b/nearest_correlation_matrices/data/G02AJ.d @@ -1,10 +1,10 @@ -137 -0.29813714558068444 -0.0 5.0774791750307635E-5 2.425786085669124E-6 0.03883768090546136 0.019130917809027575 0.02182932325871967 0.00987166742762663 0.03391663346423357 -5.0774791750307635E-5 0.0 5.503563274000811E-7 0.018710223175318536 0.008532716981402788 0.011049620489332113 0.004524701071976667 0.015984364111987615 -2.4257860856968794E-6 5.503563274278367E-7 0.0 0.013678853424135107 0.022547222563915392 0.004645537805090194 0.008813804760212207 0.02015546927216605 -0.03883768090546136 0.018710223175318508 0.013678853424135079 2.220446049250313E-16 0.09025842648426527 0.012778743855939181 0.038178346548207065 0.10114967989476989 -0.019130917809027575 0.008532716981402788 0.022547222563915392 0.09025842648426521 2.220446049250313E-16 0.008578555196769533 0.04861770043459507 0.1182788714519033 -0.02182932325871967 0.011049620489332113 0.004645537805090194 0.012778743855939183 0.008578555196769533 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0.012778743855939181 0.038178346548207065 0.10114967989476989 +0.019130917809027575 0.008532716981402788 0.022547222563915392 0.09025842648426521 2.220446049250313E-16 0.008578555196769533 0.04861770043459507 0.1182788714519033 +0.02182932325871967 0.011049620489332113 0.004645537805090194 0.012778743855939183 0.008578555196769533 2.220446049250313E-16 0.0017968276748671075 0.00339877792490062 +0.00987166742762663 0.004524701071976667 0.008813804760212096 0.038178346548207065 0.04861770043459507 0.0017968276748671075 1.1102230246251565E-16 0.04880165619044008 +0.03391663346423357 0.01598436411198756 0.020155469272165938 0.10114967989476983 0.11827887145190319 0.003398777924900509 0.048801656190440024 2.220446049250313E-16 diff --git a/nearest_correlation_matrices/data/G02AN.d b/nearest_correlation_matrices/data/G02AN.d index b90c333..264585c 100644 --- a/nearest_correlation_matrices/data/G02AN.d +++ b/nearest_correlation_matrices/data/G02AN.d @@ -1,10 +1,10 @@ -27 -0.6842232923771067 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0.05467773570274814 0.055367887554946565 0.0025226758036557793 0.13321909433413714 2.220446049250313E-16 0.009847716092804867 0.11943272126977661 +0.014500765854245638 0.057453523816818036 0.12360320370123035 0.1292057674820426 0.06595534587259971 0.009847716092804867 1.1102230246251565E-16 0.07976313672648783 +0.031829946184179364 0.08492786825462345 0.18035708804084027 0.06429138896868491 0.1990538472542338 0.1194327212697765 0.07976313672648788 2.220446049250313E-16 diff --git a/nearest_correlation_matrices/data/G_eigen.d b/nearest_correlation_matrices/data/G_eigen.d deleted file mode 100644 index cae4deb..0000000 --- a/nearest_correlation_matrices/data/G_eigen.d +++ /dev/null @@ -1 +0,0 @@ --0.24977745860993417 -0.015972279592768625 0.08945238623840102 0.2191673628508196 0.7072035937038217 1.7533864538965915 1.9610814370428227 3.53545850447024 diff --git a/nearest_correlation_matrices/data/H_G02AJ.d b/nearest_correlation_matrices/data/H_G02AJ.d deleted file mode 100644 index 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0.41435692055270595 0.7883463589306307 0.21383581644037378 1.0 0.6566193796715437 -0.2807146680766071 0.8756492796358128 --0.5892805212332436 0.28406991877718313 0.27182086998472504 -1.8236085752931886E-4 0.6566193796715437 1.0 0.04737540578644875 0.5929601745319638 --0.06253446585578672 0.29140523861712275 -0.6083694620689558 0.606979993040552 -0.2807146680766071 0.04737540578644875 1.0 -0.44707995176268783 --0.19285191653693995 0.40808279276304027 0.8804148513960975 -0.21987411467118548 0.8756492796358128 0.5929601745319638 -0.44707995176268783 1.0 diff --git a/nearest_correlation_matrices/data/X_G02AN.d b/nearest_correlation_matrices/data/X_G02AN.d deleted file mode 100644 index a66f3ec..0000000 --- a/nearest_correlation_matrices/data/X_G02AN.d +++ /dev/null @@ -1,8 +0,0 @@ -1.0 -0.3250029917945835 0.18814425997629136 0.46060526762809 0.00512111817298847 -0.4887229642049529 -0.05790536742916771 -0.12710533688852702 --0.3250029917945835 1.0 0.20484152654833515 0.1948219050550659 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a/nearest_correlation_matrices/data/X_eigen_G02AA.d b/nearest_correlation_matrices/data/X_eigen_G02AA.d deleted file mode 100644 index 3b4e8a5..0000000 --- a/nearest_correlation_matrices/data/X_eigen_G02AA.d +++ /dev/null @@ -1 +0,0 @@ --6.173883426196985E-17 2.550377090501583E-17 0.038046493282210325 0.17308760612514437 0.6893558332540384 1.7117146722540244 1.9217270612302262 3.4660683338543565 diff --git a/nearest_correlation_matrices/data/X_eigen_G02AB.d b/nearest_correlation_matrices/data/X_eigen_G02AB.d deleted file mode 100644 index 0445a93..0000000 --- a/nearest_correlation_matrices/data/X_eigen_G02AB.d +++ /dev/null @@ -1 +0,0 @@ -9.999999999997552E-4 9.99999999999841E-4 0.030520719790230445 0.1646165705339852 0.676371387352591 1.771620208378711 1.8909924571529526 3.4638786567915307 diff --git a/nearest_correlation_matrices/data/X_eigen_G02AJ.d b/nearest_correlation_matrices/data/X_eigen_G02AJ.d deleted file mode 100644 index ccfa05e..0000000 --- a/nearest_correlation_matrices/data/X_eigen_G02AJ.d +++ /dev/null @@ -1 +0,0 @@ -9.999999999997702E-4 9.999999999999124E-4 0.037510930964740785 0.1733826335965124 0.6881675924398503 1.7105895508241635 1.9223622895788683 3.465987002595862 diff --git a/nearest_correlation_matrices/data/X_eigen_G02AN.d b/nearest_correlation_matrices/data/X_eigen_G02AN.d deleted file mode 100644 index 0c6eff3..0000000 --- a/nearest_correlation_matrices/data/X_eigen_G02AN.d +++ /dev/null @@ -1 +0,0 @@ -1.4134713692893524E-9 0.13753724988136337 0.2743711328835331 0.3803668326795735 0.7768482873688412 1.6263475038033162 1.768932428977788 3.0355965629921156 diff --git a/nearest_correlation_matrices/data/alpha_G02AN.d b/nearest_correlation_matrices/data/alpha_G02AN.d deleted file mode 100644 index 9224985..0000000 --- a/nearest_correlation_matrices/data/alpha_G02AN.d +++ /dev/null @@ -1 +0,0 @@ -0.20026985555887222 From 8482813f893b19dd77dcfa9eb0d377985d57db40 Mon Sep 17 00:00:00 2001 From: Christos Date: Wed, 13 Jan 2021 12:22:09 +0200 Subject: [PATCH 083/196] Made the title a link --- _layouts/default.html | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/_layouts/default.html b/_layouts/default.html index e32458d..a7cf1aa 100644 --- a/_layouts/default.html +++ b/_layouts/default.html @@ -29,7 +29,9 @@

    -

    {{ site.title | default: site.github.repository_name }}

    + +

    {{ site.title | default: site.github.repository_name }}

    +

    {{ site.description | default: site.github.project_tagline }}

    From 46a62bf6b70b0f89a20f17062e8e75107643554f Mon Sep 17 00:00:00 2001 From: Christos Date: Wed, 13 Jan 2021 12:57:26 +0200 Subject: [PATCH 084/196] Put image in the center --- nearest_correlation_matrices/Readme.md | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/nearest_correlation_matrices/Readme.md b/nearest_correlation_matrices/Readme.md index b589930..dbde38b 100644 --- a/nearest_correlation_matrices/Readme.md +++ b/nearest_correlation_matrices/Readme.md @@ -713,7 +713,9 @@ $$ X = \large \alpha T+(1-\alpha)G, \quad T = H \circ G, \quad h_{ij} \in [0,1] * We do this until we converge on a matrix with both properties. - +
    + +
    ## Alternating Projections with Anderson Acceleration From 3a0cca1e701a515b278b7f2f6f7f27c9e2912c4a Mon Sep 17 00:00:00 2001 From: Christos Date: Wed, 13 Jan 2021 15:13:35 +0200 Subject: [PATCH 085/196] Fixed title link --- _layouts/default.html | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/_layouts/default.html b/_layouts/default.html index a7cf1aa..b5e8733 100644 --- a/_layouts/default.html +++ b/_layouts/default.html @@ -29,9 +29,9 @@

    - -

    {{ site.title | default: site.github.repository_name }}

    -     +

    + {{ site.title | default: site.github.repository_name }} +

    {{ site.description | default: site.github.project_tagline }}

    From 293779b7840a69bfde787dc7142f96f33726abe1 Mon Sep 17 00:00:00 2001 From: Christos Date: Wed, 13 Jan 2021 15:14:38 +0200 Subject: [PATCH 086/196] Deleted ncm notebook --- nearest_correlation_matrices/ncm_nag.ipynb | 2531 -------------------- 1 file changed, 2531 deletions(-) delete mode 100644 nearest_correlation_matrices/ncm_nag.ipynb diff --git a/nearest_correlation_matrices/ncm_nag.ipynb b/nearest_correlation_matrices/ncm_nag.ipynb deleted file mode 100644 index 028cde4..0000000 --- a/nearest_correlation_matrices/ncm_nag.ipynb +++ /dev/null @@ -1,2531 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": { - "nbpresent": { - "id": "94a8239a-e41d-4c24-ae8d-ea3e2132a391" - } - }, - "source": [ - "# Nearest Correlation Matrices\n", - "\n", - "This notebook looks at computing *nearest correlation matrices* using the NAG Library for *Java*.\n", - "\n", - "All the calculations happen in the [NcmNag.java](./NcmNag.java) file and they are presented here using *Python*.\n", - "For a better understanding, it is suggested to have open NcmNag.java to look up the different functions used." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "nbpresent": { - "id": "94a8239a-e41d-4c24-ae8d-ea3e2132a391" - } - }, - "source": [ - "## Correlation Matrices\n", - "\n", - "* An $n$ by $n$ matrix is a correlation matrix if:\n", - " * it is symmetric\n", - " * it has ones on the diagonal \n", - " * its eigenvalues are non-negative (positive semidefinite) \n", - " \n", - " \n", - " $$ \\Large Ax = \\lambda x, \\quad x \\neq 0$$\n", - "\n", - "\n", - "* The element in the $i$th row and $j$th column is the correlation between the $i$th and $j$th variables. This could be stock process, for example.\n" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "nbpresent": { - "id": "5503d511-81d8-4356-b142-3c0b65f21299" - } - }, - "source": [ - "## Empirical Correlation Matrices \n", - "\n", - "* Empirical correlation matrices are often **not mathematically true** due to inconsistent or missing data.\n", - "\n", - "\n", - "* Thus we are required to find a true correlation matrix, where our input, $G$, is an approximate correlation matrix.\n", - "\n", - "\n", - "* In particular we seek the *nearest* correlation matrix, in most cases." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "nbpresent": { - "id": "a5fb9867-8630-4b22-aff5-8fa6d9d634ea" - } - }, - "source": [ - "## Computing Correlation Matrices\n", - "\n", - "* The vector $p_i$, the $i$th column of a matrix, $P$, holds the $m$ observations of the $i$th variable, of which there are $n$. $\\bar{p}_i$ is the sample mean. \n", - "\n", - "\n", - "$$ \\large S_{ij}=\\frac{1}{m-1}(p_i - \\bar{p}_i )^T(p_j - \\bar{p}_j) $$\n", - "\n", - "* $S$ is a covariance matrix, with $S_{ij}$ the covariance between variables $i$ and $j$\n", - "\n", - "\n", - "* $R$ is the corresponding correlation matrix, given by: \n", - "\n", - "\n", - "\\begin{align*} \\large D_S^{1/2} & = \\large \\textrm{ diag}(s_{11}^{-1/2},s_{22}^{-1/2}, \\ldots, s_{nn}^{-1/2}) \\nonumber \\\\ & \\\\\n", - "\\large R & = \\large D_S^{1/2} S D_S^{1/2} \n", - "\\end{align*}\n", - "\n" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "nbpresent": { - "id": "3f5c8aae-0101-4786-a2e0-1d89997a2f8e" - } - }, - "source": [ - "## Approximate Correlation Matrices\n", - "\n", - "* Now, what if we don't have all observations for each variable?\n", - "\n", - "\n", - "* We compute each covariance with observations that are available for *both* the *i*th and *j*th variable.\n", - "\n", - "\n", - "* For example NAG routine **G02BB**.\n", - "\n", - "\n", - "* We then compute the correlation matrix as before.\n", - "\n", - "\n", - "\n" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "nbpresent": { - "id": "d1c9ef9b-e547-4d3b-a3a4-25ca827b9e65" - } - }, - "source": [ - "# Missing Stock Price Example\n", - "\n", - "* Prices for 8 stocks on the first working day of 10 consecutive months.\n", - "\n", - "\n", - "| | Stock A | Stock B | Stock C | Stock D | Stock E | Stock F | Stock G | Stock H\n", - "| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n", - "| **Month 1** | 59.875 | 42.734 | 47.938 | 60.359 | 54.016 | 69.625 | 61.500 | 62.125 |\n", - "| **Month 2** | 53.188 | 49.000 | 39.500 | | 34.750 | | 83.000 | 44.500 |\n", - "| **Month 3** | 55.750 | 50.000 | 38.938 | | 30.188 | | 70.875 | 29.938 |\n", - "| **Month 4** | 65.500 | 51.063 | 45.563 | 69.313 | 48.250 | 62.375 | 85.250 | |\n", - "| **Month 5** | 69.938 | 47.000 | 52.313 | 71.016 | | 59.359 | 61.188 | 48.219 |\n", - "| **Month 6** | 61.500 | 44.188 | 53.438 | 57.000 | 35.313 | 55.813 | 51.500 | 62.188 |\n", - "| **Month 7** | 59.230 | 48.210 | 62.190 | 61.390 | 54.310 | 70.170 | 61.750 | 91.080 |\n", - "| **Month 8** | 61.230 | 48.700 | 60.300 | 68.580 | 61.250 | 70.340 | | |\n", - "| **Month 9** | 52.900 | 52.690 | 54.230 | | 68.170 | 70.600 | 57.870 | 88.640 |\n", - "| **Month 10** | 57.370 | 59.040 | 59.870 | 62.090 | 61.620 | 66.470 | 65.370 | 85.840 |\n", - "\n" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "nbpresent": { - "id": "50dccd74-72ea-465f-988d-55c9d115dc20" - } - }, - "source": [ - "\n", - "* We will use NaNs where there is missing data.\n", - "\n", - "* So our $P = \\left[p_1, p_2, \\ldots, p_n \\right]$ is:\n", - "\n", - "\n", - "$$ \n", - "P=\\left[\\begin{array}{rrrrrrrr}\n", - " 59.875 & 42.734 & {\\color{blue}{47.938}} & {\\color{blue}{60.359}} & 54.016 & 69.625 & 61.500 & 62.125 \\\\\n", - " 53.188 & 49.000 & 39.500 & \\textrm{NaN} & 34.750 & \\textrm{NaN} & 83.000 & 44.500 \\\\\n", - " 55.750 & 50.000 & 38.938 & \\textrm{NaN} & 30.188 & \\textrm{NaN} & 70.875 & 29.938 \\\\\n", - " 65.500 & 51.063 & {\\color{blue}{45.563}} & {\\color{blue}{69.313}} & 48.250 & 62.375 & 85.250 & \\textrm{NaN} \\\\\n", - " 69.938 & 47.000 & {\\color{blue}{52.313}} & {\\color{blue}{71.016}} & \\textrm{NaN} & 59.359 & 61.188 & 48.219 \\\\\n", - " 61.500 & 44.188 & {\\color{blue}{53.438}} & {\\color{blue}{57.000}} & 35.313 & 55.813 & 51.500 & 62.188 \\\\\n", - " 59.230 & 48.210 & {\\color{blue}{62.190}} & {\\color{blue}{61.390}} & 54.310 & 70.170 & 61.750 &\n", - " 91.080 \\\\\n", - " 61.230 & 48.700 & {\\color{blue}{60.300}} & {\\color{blue}{68.580}} & 61.250 & 70.340 & \\textrm{NaN} & \\textrm{NaN} \\\\\n", - " 52.900 & 52.690 & 54.230 & \\textrm{NaN} & 68.170 & 70.600 & 57.870 & 88.640 \\\\\n", - " 57.370 & 59.040 & {\\color{blue}{59.870}} & {\\color{blue}{62.090}} & 61.620 & 66.470 & 65.370 &\n", - " 85.840\n", - "\\end{array}\\right]. \n", - "$$\n", - "\n", - "\n", - "* And to compute the covariance between the 3rd and 4th variables: \n", - "\n", - "\n", - "\\begin{align*} \n", - "\\large v_1^T & = \\large [47.938, 45.563, 52.313, 53.438, 62.190, 60.300, 59.870] \\\\\n", - "\\large v_2^T & = \\large [60.359, 69.313, 71.016, 57.000, 61.390, 68.580, 62.090] \\\\ \n", - "S_{3,4} & = \\large \\frac{1}{6} (v_1 - \\bar{v}_1 )^T(v_2 - \\bar{v}_2) \n", - "\\end{align*}\n", - "\n", - "* Let's compute this in Java.\n" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "nbpresent": { - "id": "d9befd83-b685-483d-b30d-2a3847948ca5" - } - }, - "source": [ - "### Import required modules, set print options and define the read_file functions for *Python*" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "nbpresent": { - "id": "bbde4683-adc6-4094-891a-5487f24b873e" - } - }, - "outputs": [], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "from pathlib import Path\n", - "# Set the print precision\n", - "np.set_printoptions(precision=4, suppress=True)" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "# Select the display backend for Jupyter:\n", - "%matplotlib inline\n", - "# Set the data folder path\n", - "data_folder = Path(\"data\")" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "def read_matrix_file(fname):\n", - " with open(data_folder / fname) as fdata:\n", - " a = np.array([line.split() for line in fdata], dtype = np.float64)\n", - " return a" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "def read_data_file(fname):\n", - " with open(data_folder / fname) as fdata:\n", - " for i, line in enumerate(fdata):\n", - " if i == 0:\n", - " itr = int(line)\n", - " elif i == 1:\n", - " norm = float(line)\n", - " elif i == 2:\n", - " a = np.array([float(lts) for lts in line.split()], dtype = np.float64)\n", - " else:\n", - " a = np.vstack([a, [float(lts) for lts in line.split()]])\n", - " return itr, norm, a" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "nbpresent": { - "id": "f9399cc1-faa3-4ec2-a59d-47f60c08759a" - } - }, - "source": [ - "### Initialize our *P* matrix of observations" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "nbpresent": { - "id": "ffa06d72-354c-45f8-95d8-95d411e89091" - } - }, - "source": [ - "```java\n", - "// Define a 2-d array and use Double.NaN to set elements as NaNs\n", - "double[][] P = new double[][] {\n", - " { 59.875, 42.734, 47.938, 60.359, 54.016, 69.625, 61.500, 62.125 },\n", - " { 53.188, 49.000, 39.500, Double.NaN, 34.750, Double.NaN, 83.000, 44.500 },\n", - " { 55.750, 50.000, 38.938, Double.NaN, 30.188, Double.NaN, 70.875, 29.938 },\n", - " { 65.500, 51.063, 45.563, 69.313, 48.250, 62.375, 85.250, Double.NaN },\n", - " { 69.938, 47.000, 52.313, 71.016, Double.NaN, 59.359, 61.188, 48.219 },\n", - " { 61.500, 44.188, 53.438, 57.000, 35.313, 55.813, 51.500, 62.188 },\n", - " { 59.230, 48.210, 62.190, 61.390, 54.310, 70.170, 61.750, 91.080 },\n", - " { 61.230, 48.700, 60.300, 68.580, 61.250, 70.340, Double.NaN, Double.NaN },\n", - " { 52.900, 52.690, 54.230, Double.NaN, 68.170, 70.600, 57.870, 88.640 },\n", - " { 57.370, 59.040, 59.870, 62.090, 61.620, 66.470, 65.370, 85.840 } };\n", - "```" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "nbpresent": { - "id": "3a438349-5641-4df8-bdf1-a86b6ee757ab" - } - }, - "source": [ - "### Compute the covariance, ignoring missing values" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "nbpresent": { - "id": "af5081b7-3d9a-47f5-8dc1-69fcc57821c0" - } - }, - "source": [ - "```java\n", - "public static double[][] cov_bar(double[][] P) {\n", - " double[] xi, xj;\n", - " boolean[] xib, xjb, notp;\n", - " int n = P[0].length;\n", - " double[][] S = new double[n][n];\n", - " int notpFalseCount;\n", - " \n", - " for (int i = 0; i < n; i++) {\n", - " // Take the ith column\n", - " xi = getMatrixColumn(P, i);\n", - " \n", - " for (int j = 0; j < i + 1; j++) {\n", - " // Take the jth column, where j <= i\n", - " xj = getMatrixColumn(P, j);\n", - " \n", - " // Set mask such that all NaNs are true\n", - " xib = getNanMask(xi);\n", - " xjb = getNanMask(xj);\n", - " \n", - " notp = addBoolArrOr(xib, xjb);\n", - " \n", - " // S[i][j] = (xi - mean(xi)) * (xj - mean(xj))\n", - " S[i][j] = matrixMaskedDot(vectorSubScalar(xi, vectorMaskedMean(xi, notp)),\n", - " vectorSubScalar(xj, vectorMaskedMean(xj, notp)), notp);\n", - " \n", - " // Take the sum over !notp to normalize\n", - " notpFalseCount = 0;\n", - " for (boolean b : notp) {\n", - " if (!b) {\n", - " notpFalseCount++;\n", - " }\n", - " }\n", - " S[i][j] = 1.0 / (notpFalseCount - 1) * S[i][j];\n", - " S[j][i] = S[i][j];\n", - " }\n", - " }\n", - " return S;\n", - "}\n", - "```" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "nbpresent": { - "id": "80b820b1-7c3b-4c96-a4a6-09b5ef00dacb" - } - }, - "source": [ - "```java\n", - "public static double[][] cor_bar(double[][] P) {\n", - " double[][] S, D;\n", - " S = cov_bar(P);\n", - " // D = 1.0 / SQRT(S)\n", - " D = getMatrixFromDiag(vectorRightDiv(vectorSqrt(getMatrixDiag(S)), 1.0));\n", - "\n", - " // S_ = S * D\n", - " F01CK f01ck = new F01CK();\n", - " double[] S_ = new double[S.length * S[0].length];\n", - " double[] S1d = convert2DTo1D(S);\n", - " double[] D1d = convert2DTo1D(D);\n", - " int n = S.length;\n", - " int p = n;\n", - " int m = n;\n", - " double[] z = new double[0];\n", - " int iz = 0;\n", - " int opt = 1;\n", - " int ifail = 0;\n", - " f01ck.eval(S_, S1d, D1d, n, p, m, z, iz, opt, ifail);\n", - " \n", - " // D_ = D * S_\n", - " double[] D_ = new double[n * n];\n", - " f01ck.eval(D_, D1d, S_, n, p, m, z, iz, opt, ifail);\n", - " \n", - " return convert1DTo2D(D_, n);\n", - "}\n", - "```" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "nbpresent": { - "id": "a8b4aa95-2ba3-4f09-8f65-ab45831b1108" - } - }, - "source": [ - "### Compute the *approximate* correlation matrix" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "```java\n", - "double[][] G = cor_bar(P);\n", - "```" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "nbpresent": { - "id": "f417663e-badf-45d3-8f98-0647907657de" - }, - "scrolled": true - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "The approximate correlation matrix \n", - "[[ 1. -0.325 0.1881 0.576 0.0064 -0.6111 -0.0724 -0.1589]\n", - " [-0.325 1. 0.2048 0.2436 0.4058 0.273 0.2869 0.4241]\n", - " [ 0.1881 0.2048 1. -0.1325 0.7658 0.2765 -0.6172 0.9006]\n", - " [ 0.576 0.2436 -0.1325 1. 0.3041 0.0126 0.6452 -0.321 ]\n", - " [ 0.0064 0.4058 0.7658 0.3041 1. 0.6652 -0.3293 0.9939]\n", - " [-0.6111 0.273 0.2765 0.0126 0.6652 1. 0.0492 0.5964]\n", - " [-0.0724 0.2869 -0.6172 0.6452 -0.3293 0.0492 1. -0.3983]\n", - " [-0.1589 0.4241 0.9006 -0.321 0.9939 0.5964 -0.3983 1. ]]\n" - ] - } - ], - "source": [ - "G = read_matrix_file(\"G.d\")\n", - "print(\"The approximate correlation matrix \\n{}\".format(G))" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "nbpresent": { - "id": "f3de275a-ac50-402b-a9e9-fb6f14aef20a" - } - }, - "source": [ - "### Compute the eigenvalues of our (indefinite) *G*.\n", - "\n", - "* We see below that our matrix $G$ is not a mathematically true correlation matrix." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "```java\n", - "F08NA f08na = new F08NA();\n", - "String jobvl = \"N\";\n", - "String jobvr = \"N\";\n", - "int n = G[0].length;\n", - "double[] G1d = convert2DTo1D(G);\n", - "int lda = G.length;\n", - "double[] wr = new double[n];\n", - "double[] wi = new double[n];\n", - "int ldvl = 1;\n", - "double[] vl = new double[ldvl];\n", - "int ldvr = 1;\n", - "double[] vr = new double[ldvr];\n", - "int lwork = 3 * n;\n", - "double[] work = new double[lwork];\n", - "int info = 0;\n", - "f08na.eval(jobvl, jobvr, n, G1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, info);\n", - "Arrays.sort(wr);\n", - "```" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "nbpresent": { - "id": "b1c83af0-e6ca-42cc-a0ca-50276ebe4f67" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Sorted eigenvalues of G [-0.2498 -0.016 0.0895 0.2192 0.7072 1.7534 1.9611 3.5355]\n" - ] - } - ], - "source": [ - "G_eigen = read_matrix_file(\"G_eigen.d\")\n", - "print(\"Sorted eigenvalues of G {}\".format(G_eigen[0]))" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "nbpresent": { - "id": "7b0f8df4-0484-4a23-b5fd-1ff66bd0000d" - } - }, - "source": [ - "# Nearest Correlation Matrices\n", - "\n", - "* Our problem now is to solve:\n", - "\n", - "\n", - "$$ \n", - "\\large \n", - "\\min \\frac{1}{2} \\| G-X \\|^2_F = \n", - "\\min \\frac{1}{2} \\sum_{i=1}^{n} \\sum_{i=1}^{n} \n", - "\\left| G(i,j)-X(i,j) \\right| ^2 \n", - "$$\n", - "\n", - "\n", - "* In order to find $X$, a true correlation matrix, where $G$ is an approximate correlation matrix.\n", - "\n", - "\n", - "* An algorithm by Qi and Sun (2006), applies an inexact Newton method to a dual (unconstrained) formulation of this problem.\n", - "\n", - "\n", - "* Improvements were suggested by Borsdorf and Higham (2010 MSc).\n", - "\n", - "\n", - "* It is globally and quadratically (fast!) convergent.\n", - "\n", - "\n", - "* This is implemented in NAG routine **G02AA**.\n", - "\n", - "\n" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "nbpresent": { - "id": "5fe4edf2-768e-47ef-b5e1-62f64c49ebae" - } - }, - "source": [ - "## Using G02AA to compute the nearest correlation matrix in the Frobenius norm" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "```java\n", - "// Call NAG routine G02AA and print the result\n", - "G02AA g02aa = new G02AA();\n", - "G1d = convert2DTo1D(G);\n", - "n = G.length;\n", - "int ldg = n;\n", - "int ldx = n;\n", - "double errtol = 0.0;\n", - "int maxits = 0;\n", - "int maxit = 0;\n", - "double[] X1d = new double[ldx * n];\n", - "int iter = 0;\n", - "int feval = 0;\n", - "double nrmgrd = 0.0;\n", - "int ifail = 0;\n", - "g02aa.eval(G1d, ldg, n, errtol, maxits, maxit, X1d, ldx, iter, feval, nrmgrd, ifail);\n", - "\n", - "double[][] X = convert1DTo2D(X1d, ldx);\n", - "iter = g02aa.getITER();\n", - "```" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "nbpresent": { - "id": "9d1819cb-4c08-4d0b-8cbe-d9de4ab61a0f" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Nearest correlation matrix\n", - "[[ 1. -0.3112 0.1889 0.5396 0.0268 -0.5925 -0.0621 -0.1921]\n", - " [-0.3112 1. 0.205 0.2265 0.4148 0.2822 0.2915 0.4088]\n", - " [ 0.1889 0.205 1. -0.1468 0.788 0.2727 -0.6085 0.8802]\n", - " [ 0.5396 0.2265 -0.1468 1. 0.2137 0.0015 0.6069 -0.2208]\n", - " [ 0.0268 0.4148 0.788 0.2137 1. 0.658 -0.2812 0.8762]\n", - " [-0.5925 0.2822 0.2727 0.0015 0.658 1. 0.0479 0.5932]\n", - " [-0.0621 0.2915 -0.6085 0.6069 -0.2812 0.0479 1. -0.447 ]\n", - " [-0.1921 0.4088 0.8802 -0.2208 0.8762 0.5932 -0.447 1. ]]\n" - ] - } - ], - "source": [ - "X = read_matrix_file(\"X_G02AA.d\")\n", - "print(\"Nearest correlation matrix\\n{}\".format(X))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "```java\n", - "jobvl = \"N\";\n", - "jobvr = \"N\";\n", - "n = X[0].length;\n", - "lda = X.length;\n", - "wr = new double[n];\n", - "wi = new double[n];\n", - "ldvl = 1;\n", - "vl = new double[ldvl];\n", - "ldvr = 1;\n", - "vr = new double[ldvr];\n", - "lwork = 3 * n;\n", - "work = new double[lwork];\n", - "info = 0;\n", - "f08na.eval(jobvl, jobvr, n, X1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, info);\n", - "Arrays.sort(wr);\n", - "```" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": { - "nbpresent": { - "id": "9737d750-04fe-4a91-933c-a799449e427e" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Sorted eigenvalues of X [-0. 0. 0.038 0.1731 0.6894 1.7117 1.9217 3.4661]\n" - ] - } - ], - "source": [ - "X_eigen = read_matrix_file(\"X_eigen_G02AA.d\")\n", - "print(\"Sorted eigenvalues of X {}\".format(X_eigen[0]))" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": { - "nbpresent": { - "id": "85008295-2019-4aae-8de4-10440d7b1192" - } - }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "itr, norm, X_G = read_data_file(\"G02AA.d\")\n", - "\n", - "# Plot the difference between G and X as a small shaded square for each element\n", - "fig1, ax1 = plt.subplots(figsize=(14, 7))\n", - "cax1 = ax1.imshow(X_G, interpolation='none', cmap=plt.cm.Blues, \n", - " vmin=0, vmax=0.2)\n", - "cbar = fig1.colorbar(cax1, ticks = np.linspace(0.0, 0.2, 11, endpoint=True), \n", - " boundaries=np.linspace(0.0, 0.2, 11, endpoint=True))\n", - "cbar.mappable.set_clim([0, 0.2])\n", - "ax1.tick_params(axis='both', which='both', \n", - " bottom='off', top='off', left='off', right='off', \n", - " labelbottom='off', labelleft='off')\n", - "ax1.set_title(r'$|G-X|$ for G02AA', fontsize=16)\n", - "plt.xlabel(\n", - " r'Iterations: {0}, $||G-X||_F = {1:.4f}$'.format(itr, norm),\n", - " fontsize=14,\n", - ")\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "nbpresent": { - "id": "600de3c9-794b-49c8-87b8-225a1c1c9851" - } - }, - "source": [ - "# Weighting rows and columns of elements\n", - "\n", - "* Now, we note that for Stocks A to C we have a complete set of observations.\n", - "\n", - "\n", - "$$\n", - "P=\\left[\\begin{array}{rrrrrrrr}\n", - " {\\color{blue}{59.875}} & {\\color{blue}{42.734}} & {\\color{blue}{47.938}} & 60.359 & 54.016 & 69.625 & 61.500 & 62.125 \\\\\n", - " {\\color{blue}{53.188}} & {\\color{blue}{49.000}} & {\\color{blue}{39.500}} & \\textrm{NaN} & 34.750 & \\textrm{NaN} & 83.000 & 44.500 \\\\\n", - " {\\color{blue}{55.750}} & {\\color{blue}{50.000}} & {\\color{blue}{38.938}} & \\textrm{NaN} & 30.188 & \\textrm{NaN} & 70.875 & 29.938 \\\\\n", - " {\\color{blue}{65.500}} & {\\color{blue}{51.063}} & {\\color{blue}{45.563}} & 69.313 & 48.250 & 62.375 & 85.250 & \\textrm{NaN} \\\\\n", - " {\\color{blue}{69.938}} & {\\color{blue}{47.000}} & {\\color{blue}{52.313}} & 71.016 & \\textrm{NaN} & 59.359 & 61.188 & 48.219 \\\\\n", - " {\\color{blue}{61.500}} & {\\color{blue}{44.188}} & {\\color{blue}{53.438}} & 57.000 & 35.313 & 55.813 & 51.500 & 62.188 \\\\\n", - " {\\color{blue}{59.230}} & {\\color{blue}{48.210}} & {\\color{blue}{62.190}} & 61.390 & 54.310 & 70.170 & 61.750 & 91.080 \\\\\n", - " {\\color{blue}{61.230}} & {\\color{blue}{48.700}} & {\\color{blue}{60.300}} & 68.580 & 61.250 & 70.340 & \\textrm{NaN} & \\textrm{NaN} \\\\\n", - " {\\color{blue}{52.900}} & {\\color{blue}{52.690}} & {\\color{blue}{54.230}} & \\textrm{NaN} & 68.170 & 70.600 & 57.870 & 88.640 \\\\\n", - " {\\color{blue}{57.370}} & {\\color{blue}{59.040}} & {\\color{blue}{59.870}} & 62.090 & 61.620 &66.470 & 65.370 & 85.840\n", - "\\end{array}\\right].\n", - "$$\n", - "\n", - "\n", - "* Perhaps we wish to preserve part of the correlation matrix?\n", - "\n", - "\n", - "* We could solve the *weighted* problem, NAG routine **G02AB**\n", - "\n", - "\n", - "$$ \\Large \\|W^{\\frac{1}{2}} (G-X) W^{\\frac{1}{2}} \\|_F$$ \n", - "\n", - "\n", - "* Here $W$ is a diagonal matrix.\n", - "\n", - "\n", - "* We can also force the resulting matrix to be positive definite.\n", - "\n" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "nbpresent": { - "id": "cd0ce132-5f43-471c-8641-aa4ab54591a9" - } - }, - "source": [ - "### Use G02AB to compute the nearest correlation matrix with row and column weighting" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "nbpresent": { - "id": "0a7c5d11-13ec-4f52-b222-c6540fcdd67c" - } - }, - "source": [ - "```java\n", - "// Define an arrray of weights\n", - "double[] W = new double[] { 10, 10, 10, 1, 1, 1, 1, 1 };\n", - "\n", - "// Set up and call the NAG routine using weights and a minimum eigenvalue\n", - "G02AB g02ab = new G02AB();\n", - "G1d = convert2DTo1D(G);\n", - "ldg = G.length;\n", - "n = G[0].length;\n", - "String opt = \"B\";\n", - "double alpha = 0.001;\n", - "errtol = 0.0;\n", - "maxits = 0;\n", - "maxit = 0;\n", - "ldx = n;\n", - "X1d = new double[ldx * n];\n", - "iter = 0;\n", - "feval = 0;\n", - "nrmgrd = 0;\n", - "ifail = 0;\n", - "g02ab.eval(G1d, ldg, n, opt, alpha, W, errtol, maxits, maxit, X1d, ldx, iter, feval, nrmgrd, ifail);\n", - "\n", - "X = convert1DTo2D(X1d, ldx);\n", - "iter = g02ab.getITER();\n", - "```" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Nearest correlation matrix using row and column weighting\n", - "[[ 1. -0.325 0.1881 0.5739 0.0067 -0.6097 -0.0722 -0.1598]\n", - " [-0.325 1. 0.2048 0.2426 0.406 0.2737 0.287 0.4236]\n", - " [ 0.1881 0.2048 1. -0.1322 0.7661 0.2759 -0.6171 0.9004]\n", - " [ 0.5739 0.2426 -0.1322 1. 0.2085 -0.089 0.5954 -0.1805]\n", - " [ 0.0067 0.406 0.7661 0.2085 1. 0.6556 -0.278 0.8757]\n", - " [-0.6097 0.2737 0.2759 -0.089 0.6556 1. 0.049 0.5746]\n", - " [-0.0722 0.287 -0.6171 0.5954 -0.278 0.049 1. -0.455 ]\n", - " [-0.1598 0.4236 0.9004 -0.1805 0.8757 0.5746 -0.455 1. ]]\n" - ] - } - ], - "source": [ - "X = read_matrix_file(\"X_G02AB.d\")\n", - "print(\"Nearest correlation matrix using row and column weighting\\n{}\".format(X))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "```java\n", - "jobvl = \"N\";\n", - "jobvr = \"N\";\n", - "n = X[0].length;\n", - "lda = X.length;\n", - "wr = new double[n];\n", - "wi = new double[n];\n", - "ldvl = 1;\n", - "vl = new double[ldvl];\n", - "ldvr = 1;\n", - "vr = new double[ldvr];\n", - "lwork = 3 * n;\n", - "work = new double[lwork];\n", - "info = 0;\n", - "f08na.eval(jobvl, jobvr, n, X1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, info);\n", - "Arrays.sort(wr);\n", - "```" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Sorted eigenvalues of X [0.001 0.001 0.0305 0.1646 0.6764 1.7716 1.891 3.4639]\n" - ] - } - ], - "source": [ - "X_eigen = read_matrix_file(\"X_eigen_G02AB.d\")\n", - "print(\"Sorted eigenvalues of X {}\".format(X_eigen[0]))" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": { - "nbpresent": { - "id": "f769cb44-ca59-43ad-a0b6-29e394f2557e" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "itr, norm, X_G = read_data_file(\"G02AB.d\")\n", - "\n", - "fig1, ax1 = plt.subplots(figsize=(14, 7))\n", - "cax1 = ax1.imshow(X_G, interpolation='none', cmap=plt.cm.Blues, vmin=0, \n", - " vmax=0.2)\n", - "cbar = fig1.colorbar(cax1, ticks = np.linspace(0.0, 0.2, 11, endpoint=True), \n", - " boundaries=np.linspace(0.0, 0.2, 11, endpoint=True))\n", - "cbar.mappable.set_clim([0, 0.2])\n", - "ax1.tick_params(axis='both', which='both', \n", - " bottom='off', top='off', left='off', right='off', \n", - " labelbottom='off', labelleft='off')\n", - "\n", - "ax1.set_title(r'$|G-X|$ for G02AB', fontsize=16)\n", - "plt.xlabel(\n", - " r'Iterations: {0}, $||G-X||_F = {1:.4f}$'.format(itr, norm),\n", - " fontsize=14,\n", - ") \n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "nbpresent": { - "id": "d557be83-a9a7-4634-a737-8174d4096889" - } - }, - "source": [ - "# Weighting Individual Elements\n", - "\n", - "* Would it be better to be able to *weight individual elements* in our approximate matrix?\n", - "\n", - "\n", - "* In our example the top left 3 by 3 block of exact correlations, perhaps.\n", - "\n", - "\n", - "* Element-wise weighting means we wish to find the minimum of\n", - "\n", - "\n", - "$$ \\Large \\|H \\circ(G-X) \\|_F $$ \n", - "\n", - "\n", - "* So individually $h_{ij} \\times (g_{ij} – x_{ij}).$\n", - "\n", - "\n", - "* However, this is a more “difficult” problem, and more computationally expensive. \n", - "\n", - "\n", - "* This is implemented in the NAG routine **G02AJ**.\n", - "\n", - "\n" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "nbpresent": { - "id": "1865afa3-9b32-4bb5-83d0-ddc9c6f709a0" - } - }, - "source": [ - "### Use G02AJ to compute the nearest correlation matrix with element-wise weighting" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "```java\n", - "// Set up a matrix of weights\n", - "n = P[0].length;\n", - "double[][] H = new double[n][n];\n", - "for (int i = 0; i < n; i++) {\n", - " for (int j = 0; j < n; j++) {\n", - " if ((i < 3) && (j < 3)) {\n", - " H[i][j] = 100.0;\n", - " } else {\n", - " H[i][j] = 1;\n", - " }\n", - " }\n", - "}\n", - "```" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": { - "nbpresent": { - "id": "d477130b-e56d-4bab-b0bd-3a1ddf2c328d" - } - }, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[100., 100., 100., 1., 1., 1., 1., 1.],\n", - " [100., 100., 100., 1., 1., 1., 1., 1.],\n", - " [100., 100., 100., 1., 1., 1., 1., 1.],\n", - " [ 1., 1., 1., 1., 1., 1., 1., 1.],\n", - " [ 1., 1., 1., 1., 1., 1., 1., 1.],\n", - " [ 1., 1., 1., 1., 1., 1., 1., 1.],\n", - " [ 1., 1., 1., 1., 1., 1., 1., 1.],\n", - " [ 1., 1., 1., 1., 1., 1., 1., 1.]])" - ] - }, - "execution_count": 13, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "H = read_matrix_file(\"H_G02AJ.d\")\n", - "H" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "```java\n", - "// Call the NAG routine specifying a minimum eigenvalue\n", - "G02AJ g02aj = new G02AJ();\n", - "G1d = convert2DTo1D(G);\n", - "ldg = G.length;\n", - "n = G[0].length;\n", - "alpha = 0.001;\n", - "double[] H1d = convert2DTo1D(H);\n", - "int ldh = H.length;\n", - "errtol = 0;\n", - "maxit = 0;\n", - "ldx = n;\n", - "X1d = new double[ldx * n];\n", - "iter = 0;\n", - "double norm2 = 0;\n", - "ifail = 0;\n", - "g02aj.eval(G1d, ldg, n, alpha, H1d, ldh, errtol, maxit, X1d, ldx, iter, norm2, ifail);\n", - "\n", - "X = convert1DTo2D(X1d, ldx);\n", - "iter = g02aj.getITER();\n", - "```" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Nearest correlation matrix using element-wise weighting\n", - "[[ 1. -0.3251 0.1881 0.5371 0.0255 -0.5893 -0.0625 -0.1929]\n", - " [-0.3251 1. 0.2048 0.2249 0.4144 0.2841 0.2914 0.4081]\n", - " [ 0.1881 0.2048 1. -0.1462 0.7883 0.2718 -0.6084 0.8804]\n", - " [ 0.5371 0.2249 -0.1462 1. 0.2138 -0.0002 0.607 -0.2199]\n", - " [ 0.0255 0.4144 0.7883 0.2138 1. 0.6566 -0.2807 0.8756]\n", - " [-0.5893 0.2841 0.2718 -0.0002 0.6566 1. 0.0474 0.593 ]\n", - " [-0.0625 0.2914 -0.6084 0.607 -0.2807 0.0474 1. -0.4471]\n", - " [-0.1929 0.4081 0.8804 -0.2199 0.8756 0.593 -0.4471 1. ]]\n" - ] - } - ], - "source": [ - "X = read_matrix_file(\"X_G02AJ.d\")\n", - "print(\"Nearest correlation matrix using element-wise weighting\\n{}\".format(X))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "```java\n", - "jobvl = \"N\";\n", - "jobvr = \"N\";\n", - "n = X[0].length;\n", - "lda = X.length;\n", - "wr = new double[n];\n", - "wi = new double[n];\n", - "ldvl = 1;\n", - "vl = new double[ldvl];\n", - "ldvr = 1;\n", - "vr = new double[ldvr];\n", - "lwork = 3 * n;\n", - "work = new double[lwork];\n", - "info = 0;\n", - "f08na.eval(jobvl, jobvr, n, X1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, info);\n", - "Arrays.sort(wr);\n", - "Arrays.sort(wi);\n", - "```" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Sorted eigenvalues of X [0.001 0.001 0.0375 0.1734 0.6882 1.7106 1.9224 3.466 ]\n" - ] - } - ], - "source": [ - "X_eigen = read_matrix_file(\"X_eigen_G02AJ.d\")\n", - "print(\"Sorted eigenvalues of X {}\".format(X_eigen[0]))" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": { - "nbpresent": { - "id": "e07e5a46-5f1d-49ef-9ae7-20b944efd9fb" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "itr, norm, X_G = read_data_file(\"G02AJ.d\")\n", - "\n", - "fig1, ax1 = plt.subplots(figsize=(14, 7))\n", - "cax1 = ax1.imshow(X_G, interpolation='none', cmap=plt.cm.Blues, vmin=0, \n", - " vmax=0.2)\n", - "cbar = fig1.colorbar(cax1, ticks = np.linspace(0.0, 0.2, 11, endpoint=True), \n", - " boundaries=np.linspace(0.0, 0.2, 11, endpoint=True))\n", - "cbar.mappable.set_clim([0, 0.2])\n", - "ax1.tick_params(axis='both', which='both', \n", - " bottom='off', top='off', left='off', right='off', \n", - " labelbottom='off', labelleft='off')\n", - "\n", - "ax1.set_title(r'$|G-X|$ for G02AJ', fontsize=16)\n", - "plt.xlabel(\n", - " r'Iterations: {0}, $||G-X||_F = {1:.4f}$'.format(itr, norm),\n", - " fontsize=14,\n", - ") \n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "nbpresent": { - "id": "39a5aee6-7760-4a9e-a5e3-dee77330a042" - } - }, - "source": [ - "# Fixing a Block of Elements\n", - "\n", - "* We probably really wish to *fix* our leading block of true correlations, so it does not change at all.\n", - "\n", - "\n", - "* We have the NAG routine **G02AN**.\n", - "\n", - "\n", - "* This routine fixes a leading block, which we require to be positive definite.\n", - "\n", - "\n", - "* We apply the *shrinking algorithm* of Higham, Strabić and Šego. The approach is **not** computationally expensive.\n", - "\n", - "\n", - "* What we find is the smallest α, such that *X* is a true correlation matrix:\n", - "\n", - "\n", - "$$ \\large X = \\alpha \\left( \n", - "\\begin{array}{ll}G_{11} & 0 \\\\ 0 & I \\end{array} \\right) +(1-\\alpha)G, \n", - "\\qquad G = \\left( \n", - "\\begin{array}{ll} G_{11} & G_{12} \\\\ G_{12}^T & G_{22} \\end{array} \n", - "\\right) \n", - "$$\n", - "\n", - "\n", - "* $G_{11}$ is the leading $k$ by $k$ block of the approximate correlation matrix that we wish to fix.\n", - "\n", - "\n", - "* $\\alpha$ is in the interval $[0,1]$.\n", - "\n" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "nbpresent": { - "id": "35cec887-bf5b-4bcd-9482-55523b6c1de6" - } - }, - "source": [ - "### Use G02AN to compute the nearest correlation matrix with fixed leading block" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "```java\n", - "// Call the NAG routine fixing the top 3-by-3 block\n", - "G02AN g02an = new G02AN();\n", - "G1d = convert2DTo1D(G);\n", - "ldg = G.length;\n", - "n = G[0].length;\n", - "int k = 3;\n", - "errtol = 0;\n", - "double eigtol = 0;\n", - "ldx = n;\n", - "X1d = new double[ldx * n];\n", - "alpha = 0.001;\n", - "iter = 0;\n", - "double eigmin = 0;\n", - "norm2 = 0;\n", - "ifail = 0; \n", - "g02an.eval(G1d, ldg, n, k, errtol, eigtol, X1d, ldx, alpha, iter, eigmin, norm2, ifail);\n", - "\n", - "X = convert1DTo2D(X1d, ldx);\n", - "iter = g02an.getITER();\n", - "alpha = g02an.getALPHA();\n", - "```" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Nearest correlation matrix with fixed leading block \n", - "[[ 1. -0.325 0.1881 0.4606 0.0051 -0.4887 -0.0579 -0.1271]\n", - " [-0.325 1. 0.2048 0.1948 0.3245 0.2183 0.2294 0.3391]\n", - " [ 0.1881 0.2048 1. -0.106 0.6124 0.2211 -0.4936 0.7202]\n", - " [ 0.4606 0.1948 -0.106 1. 0.2432 0.0101 0.516 -0.2567]\n", - " [ 0.0051 0.3245 0.6124 0.2432 1. 0.532 -0.2634 0.7949]\n", - " [-0.4887 0.2183 0.2211 0.0101 0.532 1. 0.0393 0.4769]\n", - " [-0.0579 0.2294 -0.4936 0.516 -0.2634 0.0393 1. -0.3185]\n", - " [-0.1271 0.3391 0.7202 -0.2567 0.7949 0.4769 -0.3185 1. ]]\n" - ] - } - ], - "source": [ - "X = read_matrix_file(\"X_G02AN.d\")\n", - "print(\"Nearest correlation matrix with fixed leading block \\n{}\".format(X))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "```java\n", - "jobvl = \"N\";\n", - "jobvr = \"N\";\n", - "n = X[0].length;\n", - "lda = X.length;\n", - "wr = new double[n];\n", - "wi = new double[n];\n", - "ldvl = 1;\n", - "vl = new double[ldvl];\n", - "ldvr = 1;\n", - "vr = new double[ldvr];\n", - "lwork = 3 * n;\n", - "work = new double[lwork];\n", - "info = 0;\n", - "f08na.eval(jobvl, jobvr, n, X1d, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, info);\n", - "Arrays.sort(wr);\n", - "```" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Sorted eigenvalues of X [0. 0.1375 0.2744 0.3804 0.7768 1.6263 1.7689 3.0356]\n", - "Value of alpha returned: [0.2003]\n" - ] - } - ], - "source": [ - "X_eigen = read_matrix_file(\"X_eigen_G02AN.d\")\n", - "print(\"Sorted eigenvalues of X {}\".format(X_eigen[0]))\n", - "alpha = read_matrix_file(\"alpha_G02AN.d\")\n", - "print(\"Value of alpha returned: {}\".format(alpha[0]))" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": { - "nbpresent": { - "id": "4dfd2936-1a71-4f33-b4df-8f271e6caae4" - } - }, - "outputs": [ - { - "data": { - "image/png": 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    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "itr, norm, X_G = read_data_file(\"G02AN.d\")\n", - "\n", - "fig1, ax1 = plt.subplots(figsize=(14, 7))\n", - "cax1 = ax1.imshow(X_G, interpolation='none', cmap=plt.cm.Blues, vmin=0, \n", - " vmax=0.2)\n", - "cbar = fig1.colorbar(cax1, ticks = np.linspace(0.0, 0.2, 11, endpoint=True),\n", - " boundaries=np.linspace(0.0, 0.2, 11, endpoint=True))\n", - "cbar.mappable.set_clim([0, 0.2])\n", - "ax1.tick_params(axis='both', which='both', \n", - " bottom='off', top='off', left='off', right='off', \n", - " labelbottom='off', labelleft='off')\n", - "\n", - "ax1.set_title(r'$|G-X|$ for G02AN', fontsize=16)\n", - "plt.xlabel(\n", - " r'Iterations: {0}, $||G-X||_F = {1:.4f}$'.format(itr, norm),\n", - " fontsize=14,\n", - ") \n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "nbpresent": { - "id": "d9a2935a-ef2a-4279-a5a6-385bb10917d9" - } - }, - "source": [ - "# Fixing Arbitrary Elements\n", - "\n", - "* The routine **G02AP** fixes arbitrary elements by finding the smallest α, such that *X* is a true correlation matrix in:\n", - "\n", - "\n", - "$$ X = \\large \\alpha T+(1-\\alpha)G, \\quad T = H \\circ G, \\quad h_{ij} \\in [0,1] $$\n", - "\n", - "\n", - "* A \"1\" in *H* fixes corresponding elements in *G*.\n", - "\n", - "\n", - "* $0 < h_{ij} < 1$ weights corresponding element in *G*.\n", - "\n", - "\n", - "* $\\alpha$ is again in the interval $[0,1]$.\n", - "\n" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "collapsed": true, - "nbpresent": { - "id": "4726f42a-663c-4597-9eb8-ba909dcbff64" - } - }, - "source": [ - "## Alternating Projections\n", - "\n", - "* First method proposed to solve our original problem, however, it is very slow.\n", - "\n", - "\n", - "* The idea is we alternate projecting onto two sets, which are:\n", - " * the set of smeidefinite matrices (S1), and \n", - " * matrices with unit diagonal (s2) \n", - "\n", - "\n", - "* We do this until we converge on a matrix with both properties.\n", - "\n", - "\n", - "\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Alternating Projections with Anderson Acceleration\n", - "\n", - "\n", - "* A new approach by Higham and Strabić uses *Anderson Acceleration*, and makes the method worthwhile.\n", - "\n", - "\n", - "* In particular, we will be able to fix elements whilst finding the nearest true correlation matrix in the Frobenius norm.\n", - "\n", - "\n", - "* Our projections are now:\n", - " * the set of (semi)definite matrices with some minimum eigenvalue, and \n", - " * matrix with elements $G_{i,j}$ for some given indices $i$ and $j$\n", - "\n", - "\n", - "* To appear in a future NAG Library.\n", - "\n", - "\n" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "collapsed": true - }, - "source": [ - "# More on using the NAG Library for *Java*:\n", - "\n", - "\n", - 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0.8, - "width": 0.8, - "x": 0.1, - "y": 0.1 - }, - "content": { - "cell": "ffa06d72-354c-45f8-95d8-95d411e89091", - "part": "whole" - }, - "id": "33244afb-06ee-4315-b1fa-0cf05896758b" - } - } - } - }, - "themes": {} - } - }, - "nbformat": 4, - "nbformat_minor": 1 -} From f9b4871875f72164e9f7d052ee180b2f7a6ea44d Mon Sep 17 00:00:00 2001 From: Christos Date: Wed, 13 Jan 2021 16:28:46 +0200 Subject: [PATCH 087/196] Removed unused function --- nearest_correlation_matrices/generate_img.py | 5 ----- 1 file changed, 5 deletions(-) diff --git a/nearest_correlation_matrices/generate_img.py b/nearest_correlation_matrices/generate_img.py index a16e400..2a74027 100644 --- a/nearest_correlation_matrices/generate_img.py +++ b/nearest_correlation_matrices/generate_img.py @@ -8,11 +8,6 @@ # Set the data folder path data_folder = Path("data") -def read_matrix_file(fname): - with open(data_folder / fname) as fdata: - a = np.array([line.split() for line in fdata], dtype = np.float64) - return a - def read_data_file(fname): with open(data_folder / fname) as fdata: for i, line in enumerate(fdata): From bec859f667d3f3bac0f39b2da4e1283dbde7d083 Mon Sep 17 00:00:00 2001 From: Christos Date: Wed, 13 Jan 2021 16:29:28 +0200 Subject: [PATCH 088/196] Made dataFolder final --- nearest_correlation_matrices/NcmNag.java | 2 +- nearest_correlation_matrices/output.txt | Bin 4334 -> 8672 bytes 2 files changed, 1 insertion(+), 1 deletion(-) diff --git a/nearest_correlation_matrices/NcmNag.java b/nearest_correlation_matrices/NcmNag.java index 961c7b2..70c6ebe 100644 --- a/nearest_correlation_matrices/NcmNag.java +++ b/nearest_correlation_matrices/NcmNag.java @@ -14,7 +14,7 @@ public class NcmNag { - public static String dataFolder = "data"; + public final static String dataFolder = "data"; public static void main(String[] args) { // Initialize our P matrix of observations diff --git a/nearest_correlation_matrices/output.txt b/nearest_correlation_matrices/output.txt index 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zQxV^2&|N@VXbc2k4T&pXy~B;&`<_ODNFpK#4-L|Ap)+Uz-EnNjmEY$*2_s#XD9{iQ zhX%4j7ib6reiDG8<-h8nS-Uf42K6qLqT$IFZy91&gbs$x40Qb6e1ADy@24+^SB&Dv zd4IKCB1h+ zopZLQs*`~T=li-P*Za7UtVn=ETziIw+TNAfjrn-EpbSV@0oE)7$34)+Wv1005da@UBQk zqCg}Ok=R{>#f8qmC_rb4&EDccp-2)&x+zhhAtI8lXdo+efrc>PCjs~;xz7JC008fa zmIb-BKFrCQ>p9E&$L^9#`kcf9kM%p_rCt2Wmn0vO`{U#Ne!9%p=gVon`v_cTj7Kf} E3HXI3 Date: Wed, 13 Jan 2021 16:30:08 +0200 Subject: [PATCH 089/196] Added link to QCQP --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index cb26580..5721b6a 100644 --- a/README.md +++ b/README.md @@ -9,7 +9,7 @@ This repository contains examples and demonstrations using the [NAG Library for ## Directory of GitHub examples * [Nearest Correlation Matrices](./nearest_correlation_matrices) -* [Quadratically constrained quadratic programming and its applications in portfolio optimization]() +* [Quadratically constrained quadratic programming and its applications in portfolio optimization](./QCQP) ## Examples that ship with the product From 18c4ff45f6da08e63b9ae51fbc07577439f56144 Mon Sep 17 00:00:00 2001 From: Christos Date: Wed, 13 Jan 2021 16:30:29 +0200 Subject: [PATCH 090/196] Added data files --- QCQP/data/abRisk.d | 1999 ++++++++++++++++++++++++++ QCQP/data/abRtn.d | 1999 ++++++++++++++++++++++++++ QCQP/data/b.d | 2 + QCQP/data/relRtn.d | 249 ++++ QCQP/data/sr.d | 2 + QCQP/data/tevRisk.d | 2001 +++++++++++++++++++++++++++ QCQP/data/tevRtn.d | 2001 +++++++++++++++++++++++++++ QCQP/portfolioOptimizationQCQP.java | 50 +- 8 files changed, 8297 insertions(+), 6 deletions(-) create mode 100644 QCQP/data/abRisk.d create mode 100644 QCQP/data/abRtn.d create mode 100644 QCQP/data/b.d create mode 100644 QCQP/data/relRtn.d create mode 100644 QCQP/data/sr.d create mode 100644 QCQP/data/tevRisk.d create mode 100644 QCQP/data/tevRtn.d diff --git a/QCQP/data/abRisk.d b/QCQP/data/abRisk.d new file mode 100644 index 0000000..0b9adeb --- /dev/null +++ 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portfolioOptimizationQCQP { + public final static String dataFolder = "data"; + public static String dataFile = "data" + File.separator + "djia_close_price.csv"; public static void main(String[] args) { @@ -87,6 +89,8 @@ public static void main(String[] args) { } } + printMatrixToFile(relRtn, "relRtn.d"); + // Mean return double[] r = new double[n]; for (j = 0; j < n; j++) { @@ -153,16 +157,16 @@ public static void main(String[] args) { double[] blx = new double[n]; double[] bux = new double[n]; - Arrays.fill(irowa, 1); + Arrays.fill(irowa, 1); for (i = 0; i < n; i++) { icola[i] = i + 1; - } - Arrays.fill(a, 1.0); + } + Arrays.fill(a, 1.0); bl[0] = 1.0; bu[0] = 1.0; // Input for bound constraint: x >= 0 - Arrays.fill(blx, 0.0); + Arrays.fill(blx, 0.0); Arrays.fill(bux, 1.0e20); // Set step for mu @@ -205,7 +209,8 @@ public static void main(String[] args) { } idqc = -1; - e04rs.eval(handle, 0.0, nonZeroLength(invertSignR), idxr, invertSignR, nonZeroLength(q), irowq, icolq, q, idqc, ifail); + e04rs.eval(handle, 0.0, nonZeroLength(invertSignR), idxr, invertSignR, nonZeroLength(q), irowq, icolq, q, + idqc, ifail); // Set linear constraint e'x = 1 e04rj.eval(handle, bl.length, bl, bu, nonZeroLength(a), irowa, icola, a, 0, ifail); @@ -243,6 +248,9 @@ public static void main(String[] args) { handle = e04rz.getHANDLE(); } + printVectorToFile(toArray(abRisk), "abRisk.d"); + printVectorToFile(toArray(abRtn), "abRtn.d"); + // Maximizing the Sharpe ratio // Input for linear constraint: e'y = lambda @@ -324,6 +332,8 @@ public static void main(String[] args) { srX[i] = x[i] / x[n]; } + printVectorToFile(new double[]{srRisk, srRtn}, "sr.d"); + // Portfolio optimization with tracking-error constraint // Generate a benchmark portfolio from efficient portfolio that maximize the @@ -447,6 +457,10 @@ public static void main(String[] args) { e04rz.eval(handle, ifail); handle = e04rz.getHANDLE(); } + + printVectorToFile(new double[]{bRisk, bRtn}, "b.d"); + printVectorToFile(toArray(tevRisk), "tevRisk.d"); + printVectorToFile(toArray(tevRtn), "tevRtn.d"); } public static class MONIT extends E04PT.Abstract_E04PT_MONIT { @@ -540,9 +554,17 @@ private static double multiplyMatricesCell(double[][] firstMatrix, double[][] se return cell; } + public static double[] toArray(ArrayList list) { + double[] t = new double[list.size()]; + for (int i = 0; i < t.length; i++) { + t[i] = (double) list.get(i); + } + return t; + } + public static void printVectorToFile(double[] a, String fileName) { try { - FileWriter writer = new FileWriter(new File(fileName)); + FileWriter writer = new FileWriter(new File(dataFolder + File.separator + fileName)); for (int i = 0; i < a.length; i++) { writer.write(a[i] + "\n"); } @@ -553,4 +575,20 @@ public static void printVectorToFile(double[] a, String fileName) { } } + public static void printMatrixToFile(double[][] a, String fileName) { + try { + FileWriter writer = new FileWriter(new File(dataFolder + File.separator + fileName)); + for (int i = 0; i < a.length; i++) { + for (int j = 0; j < a[0].length; j++) { + writer.write(a[i][j] + " "); + } + writer.write("\n"); + } + writer.close(); + } catch (IOException e) { + System.out.println(e.getMessage()); + e.printStackTrace(); + } + } + } From 8dead389ad77a684aa1b584865599369fa25c437 Mon Sep 17 00:00:00 2001 From: Christos Date: Wed, 13 Jan 2021 16:30:44 +0200 Subject: [PATCH 091/196] Added convertion to images --- QCQP/generate_img.py | 102 +++++++++++++++++++++++++++++++++++++++++++ QCQP/img/data.png | Bin 0 -> 146181 bytes QCQP/img/rel_rtn.png | Bin 0 -> 108609 bytes QCQP/img/risk_1.png | Bin 0 -> 23209 bytes QCQP/img/risk_2.png | Bin 0 -> 34478 bytes QCQP/img/risk_3.png | Bin 0 -> 48048 bytes 6 files changed, 102 insertions(+) create mode 100644 QCQP/generate_img.py create mode 100644 QCQP/img/data.png create mode 100644 QCQP/img/rel_rtn.png create mode 100644 QCQP/img/risk_1.png create mode 100644 QCQP/img/risk_2.png create mode 100644 QCQP/img/risk_3.png diff --git a/QCQP/generate_img.py b/QCQP/generate_img.py new file mode 100644 index 0000000..b2c3cc6 --- /dev/null +++ b/QCQP/generate_img.py @@ -0,0 +1,102 @@ +import csv +import numpy as np +import matplotlib.pyplot as plt +from pathlib import Path + +# Set the print precision +np.set_printoptions(precision=4, suppress=True) + +# Set the data folder path +data_folder = Path("data") + +def read_matrix_file(fname): + with open(data_folder / fname) as fdata: + a = np.array([line.split() for line in fdata], dtype = np.float64) + return a + +data_file = "djia_close_price.csv" + +with open(data_folder / data_file) as fdata: + csv_reader = csv.reader(fdata, delimiter=',') + line_count = 0 + close_price = {} + for row in csv_reader: + if line_count == 0: + date_index = row[1:] + line_count += 1 + else: + close_price[row[0]] = np.array(row[1:], dtype=np.float64) + +# Size of data, m: number of observations, n: number of stocks +m = len(date_index) +n = len(close_price) + +# Extract stock closing prices to a numpy array +data = np.zeros(shape=(m, n)) +i = 0 +for stock in close_price: + data[:,i] = close_price[stock] + plt.plot(np.arange(m), data[:,i]) + i += 1 +# Plot closing prices +plt.xlabel('Time (days)') +plt.ylabel('Closing price ($)') +plt.savefig("./img/data.png") +plt.clf() + +# Relative return +rel_rtn = read_matrix_file("relRtn.d") + +# Plot relative return +for i in range(n): + plt.plot(np.arange(m-1),rel_rtn[:,i]) +plt.xlabel('Time (days)') +plt.ylabel('Relative return') +plt.savefig("./img/rel_rtn.png") +plt.clf() + +# Efficient Frontier +ab_risk = read_matrix_file("abRisk.d") +ab_rtn = read_matrix_file("abRtn.d") + +plt.plot(ab_risk*100.0, ab_rtn*100.0) +plt.ylabel('Total Expected Return (%)') +plt.xlabel('Absolute Risk (%)') +plt.savefig("./img/risk_1.png") +plt.clf() + +# Maximizing the Sharpe ratio +sr = read_matrix_file("sr.d") +sr_risk = sr[0][0] +sr_rtn = sr[1][0] + +plt.plot(ab_risk*100.0, ab_rtn*100.0, label='Efficient frontier') +plt.plot([sr_risk*100], [sr_rtn*100], 'rs', label='Portfolio with maximum Sharpe ratio') +plt.plot([sr_risk*100, 0.0], [sr_rtn*100, 0.0], 'r-', label='Capital market line') +plt.axis([min(ab_risk*100), max(ab_risk*100), min(ab_rtn*100), max(ab_rtn*100)]) +plt.ylabel('Total Expected Return (%)') +plt.xlabel('Absolute Risk (%)') +plt.legend() +plt.savefig("./img/risk_2.png") +plt.clf() + +# Portfolio optimization with tracking-error constraint +b = read_matrix_file("b.d") +b_risk = b[0][0] +b_rtn = b[1][0] +tev_risk = read_matrix_file("tevRisk.d") +tev_rtn = read_matrix_file("tevRtn.d") + +plt.figure(figsize=(7.5, 5.5)) +plt.plot(ab_risk*100.0, ab_rtn*100.0, label='Classic efficient frontier') +plt.plot([sr_risk*100], [sr_rtn*100], 'rs', label='Portfolio with maximum Sharpe ratio') +plt.plot([sr_risk*100, 0.0], [sr_rtn*100, 0.0], 'r-', label='Capital market line') +plt.plot(b_risk*100, b_rtn*100, 'r*', label='Benchmark portfolio') +plt.plot(tev_risk*100.0, tev_rtn*100.0, 'seagreen', label='Efficient frontier with tev constraint') + +plt.axis([min(ab_risk*100), max(ab_risk*100), min(tev_rtn*100), max(ab_rtn*100)]) +plt.ylabel('Total Expected Return (%)') +plt.xlabel('Absolute Risk (%)') +plt.legend() +plt.savefig("./img/risk_3.png") +plt.clf() diff --git a/QCQP/img/data.png b/QCQP/img/data.png new file mode 100644 index 0000000000000000000000000000000000000000..54aa4443d90a39eff61c7192e149259684e1b589 GIT binary patch literal 146181 zcmeGE^;=YJ-#?140Ra^d6a;A%0g>(w0}yGE?(XhJ5kU}85D-a0S~`YKVQ3h-YlNXg zy7xKW_w)IFe|Yx(1NO0x>)^N)*Q`0$8Si+-`lzfZLwJ+&CImr*vM*n}h9Im!2!hRD z#|6LPLr(tz{}XbR(sWgIFn9GZayEk$j9eXU9b9d#jPJXfIlEXn*z>T1|5)!^y1F{L z2y<}Q{htfi9h@yVI^y9;;3hX5UuwBP5Rnn)2bLp|Z3V#~NcP3kH=aowGajCA%nqA& zx69?dw}Y=?U3<3Dd;j4pl9Hgi*EVq64&dug3TxujzPh=MRCq{9IXS6$e__0@ru|Ir znRii)aDsC{0D;Q`;`@?Mgi_I+^gJ%;Sr5mKB%y7u{(Kcusi)T;yeEFN z{KZo54s`S1@3{ZJKRk2&fBz($R?CwT=Sm<1DXM!X zow0zFp;OzY67%MzjL2&4zc`wkoA*jcNRa=|d&9%S<6TgY*ZD4@M7y9s)cfBsMn@L1 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--- a/nearest_correlation_matrices/Readme.md +++ b/nearest_correlation_matrices/Readme.md @@ -1,8 +1,8 @@ -> ## Important Information -> To properly read the documentation click [here](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/). - # Nearest Correlation Matrices +# Correct Rendering of this notebook +This file has a lot of Latex and GitHub currently cannot render it on Markdown files. [Here](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/nearest_correlation_matrices/) you can read it clearly. + This notebook looks at computing *nearest correlation matrices* using the NAG Library for *Java*. The source of this example can be found [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/nearest_correlation_matrices/NcmNag.java). From ff16c9f71f8e1a344bce6faa5361ff75259657dd Mon Sep 17 00:00:00 2001 From: Christos Date: Wed, 13 Jan 2021 16:55:30 +0200 Subject: [PATCH 093/196] Small correction --- nearest_correlation_matrices/Readme.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/nearest_correlation_matrices/Readme.md b/nearest_correlation_matrices/Readme.md index e6490a0..34e369b 100644 --- a/nearest_correlation_matrices/Readme.md +++ b/nearest_correlation_matrices/Readme.md @@ -1,10 +1,10 @@ # Nearest Correlation Matrices +This notebook looks at computing *nearest correlation matrices* using the NAG Library for *Java*. + # Correct Rendering of this notebook This file has a lot of Latex and GitHub currently cannot render it on Markdown files. [Here](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/nearest_correlation_matrices/) you can read it clearly. -This notebook looks at computing *nearest correlation matrices* using the NAG Library for *Java*. - The source of this example can be found [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/nearest_correlation_matrices/NcmNag.java). ## Correlation Matrices From 0909f5fdb3e90b9497212e784c2c321c8a19c954 Mon Sep 17 00:00:00 2001 From: Christos Date: Wed, 13 Jan 2021 17:01:31 +0200 Subject: [PATCH 094/196] Added forgotten e04rz --- QCQP/portfolioOptimizationQCQP.java | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/QCQP/portfolioOptimizationQCQP.java b/QCQP/portfolioOptimizationQCQP.java index 2db40b6..06b30bf 100644 --- a/QCQP/portfolioOptimizationQCQP.java +++ b/QCQP/portfolioOptimizationQCQP.java @@ -332,6 +332,10 @@ public static void main(String[] args) { srX[i] = x[i] / x[n]; } + // Destroy the handle: + e04rz.eval(handle, ifail); + handle = e04rz.getHANDLE(); + printVectorToFile(new double[]{srRisk, srRtn}, "sr.d"); // Portfolio optimization with tracking-error constraint From 4791aa8bbf9a745eefbe25ee4dacd6f9a07d8de0 Mon Sep 17 00:00:00 2001 From: Christos Date: Wed, 13 Jan 2021 17:07:18 +0200 Subject: [PATCH 095/196] Added doc for QCQP example --- QCQP/Readme.md | 573 +++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 573 insertions(+) diff --git a/QCQP/Readme.md b/QCQP/Readme.md index e69de29..740dd35 100644 --- a/QCQP/Readme.md +++ b/QCQP/Readme.md @@ -0,0 +1,573 @@ +# Quadratically constrained quadratic programming and its applications in portfolio optimization + +# Correct Rendering of this notebook +This file has a lot of Latex and GitHub currently cannot render it on Markdown files. [Here](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/QCQP/) you can read it clearly. + +The source of this example can be found [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/QCQP/portfolioOptimizationQCQP.java). + +# Introduction + +Quadratically constrained quadratic programming (QCQP) is a type of optimization problem in which both the objective function and the constraints involve quadratic functions. A general QCQP problem has the following form +$$ +\begin{equation} +\begin{array}{ll} +\underset{x\in\Re^n}{\mbox{minimize}} & \frac{1}{2}x^TP_0x+q_0^Tx+r_0\\[0.6ex] +\mbox{subject to} & \frac{1}{2}x^TP_ix+q_i^Tx+r_i\leq0,\quad i=1,\ldots,p. +\end{array} +\end{equation} +$$ +It appears in applications such as modern portfolio theory, machine learning, engineering and control. Convex QCQP is usually handled through conic optimization, or, more precisely, second-order cone programming (SOCP) due to its computational efficiency and ability to detect infeasibility. However, using SOCP to solve convex QCQP is nontrivial task which requires extra amount of effort to transform problem data and add auxiliary variables. In this notebook, we are going to demonstrate how to use the *NAG Optimization Modelling Suite* in the NAG Library to define and solve QCQP in portfolio optimization. + +# Data Preparation + +We consider daily prices for the 30 stocks in the DJIA from March 2018 to March 2019. In practice, the estimation of the mean return $$r$$ and covariance $$V$$ is often a nontrivial task. In this notebook, we estimate those entities using simple sample estimates. + +```java +// Load stock price data from djia_close_price.csv + String[] dateIndex = new String[0]; + Map closePrice = new LinkedHashMap<>(); + try { + BufferedReader reader = new BufferedReader(new FileReader(dataFile)); + + String line = reader.readLine().substring(1); + dateIndex = line.split(","); + + String[] data; + String key; + double[] values; + + while ((line = reader.readLine()) != null) { + data = line.split(","); + key = data[0]; + values = parseDoubleArr(Arrays.copyOfRange(data, 1, data.length)); + closePrice.put(key, values); + } + reader.close(); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + dataFile); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + dataFile + "\n" + e.getMessage()); + } + + int m = dateIndex.length; + int n = closePrice.size(); + + double[][] data = new double[m][n]; + i = 0; + for (Map.Entry entry : closePrice.entrySet()) { + double[] tempA = entry.getValue(); + for (j = 0; j < m; j++) { + data[j][i] = tempA[j]; + } + i++; + } +``` + +
    + +
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    + +For each stock $$i$$, we first estimate the $$j$$th daily relative return as $$relative~return_{i,j} = \frac{closing~price_{i,j+1}-closing~price_{i,j}}{closing~price_{i,j}}.$$ + +```java + // Relative return + double[][] relRtn = new double[m - 1][n]; + for (j = 0; j < m - 1; j++) { + for (i = 0; i < n; i++) { + relRtn[j][i] = (data[j + 1][i] - data[j][i]) / data[j][i]; + } + } +``` +
    + +
    + +
    + +Simply take arithmetic mean of each column of relative return to get mean return $$r$$ for each stock, followed by estimating covariance $$V$$ using numpy. + +```java + // Mean return + double[] r = new double[n]; + for (j = 0; j < n; j++) { + double sum = 0; + for (i = 0; i < m - 1; i++) { + sum += relRtn[i][j]; + } + r[j] = sum; + r[j] /= m - 1; + } + + // Covariance matrix + G02BX g02bx = new G02BX(); + String weight = "U"; + n = relRtn.length; + m = relRtn[0].length; + int ldx = n; + double[] x1d = convert2DTo1D(relRtn); + double[] wt = new double[0]; + double[] xbar = new double[m]; + double[] std = new double[m]; + int ldv = m; + double[] v1d = new double[ldv * m]; + double[] r1d = new double[ldv * m]; + int ifail = 0; + g02bx.eval(weight, n, m, x1d, ldx, wt, xbar, std, v1d, ldv, r1d, ifail); + + double[][] V = convert1DTo2D(v1d, m); +``` + +# Classic Mean-Variance Model +## Efficient Frontier + +One of the major goals of portfolio management is to achieve a certain level of return under a specific risk measurement. Here we demonstrate how to use NAG Library to build efficient frontier by solving classical Markowitz model with long-only constraint (meaning, buy to hold and short selling is not allowed): +$$ +\begin{equation}\label{MV_model} +\begin{array}{ll} +\underset{x\in\Re^n}{\mbox{minimize}} & -r^Tx+\mu x^TVx\\[0.6ex] +\mbox{subject to} & e^Tx = 1,\\[0.6ex] + & x\geq0, +\end{array} +\end{equation} +$$ +where $$e\in\Re^n$$ is vector of all ones and $$\mu$$ is a scalar controling trade-off between return and risk. Note one could build the efficient frontier by varying $$\mu$$ from $$0$$ to a certain value. + +```java +int itemsDiagLength = V.length; + int itemsAboveDiagLength = (int) (Math.pow(itemsDiagLength, 2) - itemsDiagLength) / 2 + itemsDiagLength; + int[] irowq = new int[itemsAboveDiagLength]; + int[] icolq = new int[itemsAboveDiagLength]; + double[] vVal = new double[itemsAboveDiagLength]; + int c = 0; + // Input for quadratic objective + // Sparsity pattern of upper triangular V + for (i = 0; i < V.length; i++) { + for (j = i; j < V[0].length; j++) { + vVal[c] = V[i][j]; + irowq[c] = i + 1; + icolq[c] = j + 1; + c++; + } + } + + n = closePrice.size(); + // Sparsity pattern of r, which is actually dense in this application + int[] idxr = new int[n]; + for (i = 0; i < n; i++) { + idxr[i] = i + 1; + } + + // Input for linear constraint: e'x = 1 + int[] irowa = new int[n]; + int[] icola = new int[n]; + double[] a = new double[n]; + double[] bl = new double[1]; + double[] bu = new double[1]; + double[] blx = new double[n]; + double[] bux = new double[n]; + + Arrays.fill(irowa, 1); + for (i = 0; i < n; i++) { + icola[i] = i + 1; + } + Arrays.fill(a, 1.0); + bl[0] = 1.0; + bu[0] = 1.0; + + // Input for bound constraint: x >= 0 + Arrays.fill(blx, 0.0); + Arrays.fill(bux, 1.0e20); +``` + +The input data is ready, we can easily build the efficient frontier as follows. + +```java +// Set step for mu + int step = 2001; + + // Initialize output data: absolute risk and return + ArrayList abRisk = new ArrayList<>(); + ArrayList abRtn = new ArrayList<>(); + + int mu; + long handle = 0; + double[] q = new double[vVal.length]; + int idqc; + double[] invertSignR = invertSignVector(r); + double[] x = new double[n]; + double[] u = new double[0]; + double[] uc = new double[0]; + double[] rinfo = new double[100]; + double[] stats = new double[100]; + int[] iuser = new int[2]; + double[] ruser = new double[1]; + long cpuser = 0; + double[][] x2d; + double[][] VX; + double[][] XVX; + double[][] r2d; + double[][] RX; + + for (mu = 0; mu < step; mu++) { + ifail = 0; + + // Create problem handle + e04ra.eval(handle, n, ifail); + handle = e04ra.getHANDLE(); + + // Set quadratic objective function + // In qcqp standard form q should be 2*mu*V + for (i = 0; i < q.length; i++) { + q[i] = 2.0 * mu * vVal[i]; + } + + idqc = -1; + e04rs.eval(handle, 0.0, nonZeroLength(invertSignR), idxr, invertSignR, nonZeroLength(q), irowq, icolq, q, + idqc, ifail); + + // Set linear constraint e'x = 1 + e04rj.eval(handle, bl.length, bl, bu, nonZeroLength(a), irowa, icola, a, 0, ifail); + + // Set bound constraint + e04rh.eval(handle, n, blx, bux, ifail); + + // set options + e04zm.eval(handle, "Print Options = NO", ifail); + e04zm.eval(handle, "Print Level = 1", ifail); + e04zm.eval(handle, "Print File = -1", ifail); + e04zm.eval(handle, "SOCP Scaling = A", ifail); + + // Call socp interior point solver + ifail = 1; + e04pt.eval(handle, n, x, 0, u, 0, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + + ifail = e04pt.getIFAIL(); + if (ifail == 0) { + // Compute risk and return from the portfolio + x2d = convert1DTo2D(x, x.length); + VX = multiplyMatrices(V, x2d); + XVX = multiplyMatrices(invertRowColMatrix(x2d), VX); + + abRisk.add(Math.sqrt(XVX[0][0])); + + r2d = convert1DTo2D(r, r.length); + RX = multiplyMatrices(invertRowColMatrix(r2d), x2d); + + abRtn.add(RX[0][0]); + } + + // Destroy the handle: + e04rz.eval(handle, ifail); + handle = e04rz.getHANDLE(); + } +``` + +
    + +
    + +
    + +## Maximizing the Sharpe ratio + +The Sharpe ratio is defined as the ratio of return of portfolio and standard deviation of the portfolio's excess return. It is usually used to measure the efficiency of a portfolio. Find the most efficient portfolio is equivalent to solve the following optimization problem. +$$ +\begin{equation}\label{sr_model} +\begin{array}{ll} +\underset{x\in\Re^n}{\mbox{minimize}} & \frac{\sqrt{x^TVx}}{r^Tx}\\[0.6ex] +\mbox{subject to} & e^Tx = 1,\\[0.6ex] + & x\geq0. +\end{array} +\end{equation} +By replacing $$x$$ with $$\frac{y}{\lambda}, \lambda\gt0$$, model (\ref{sr_model}) is equivalent to +\begin{equation}\label{sr_model_eq} +\begin{array}{ll} +\underset{y\in\Re^n, \lambda\in\Re}{\mbox{minimize}} & y^TVy\\[0.6ex] +\mbox{subject to} & e^Ty = \lambda,\\[0.6ex] + & r^Ty=1, \\ + & y\geq0, \\ + & \lambda\geq0. +\end{array} +\end{equation} +$$ +Problem (\ref{sr_model_eq}) is similar to problem (\ref{MV_model}) in the sense that they both have a quadratic objective function and linear constraints. + +```java +// Input for linear constraint: e'y = lambda + irowa = new int[(n + 1) + n]; + icola = new int[(n + 1) + n]; + a = new double[(n + 1) + n]; + bl = new double[2]; + bu = new double[2]; + blx = new double[n + 1]; + bux = new double[n + 1]; + + Arrays.fill(irowa, 0, n + 1, 1); + for (i = 0; i <= n; i++) { + icola[i] = i + 1; + } + Arrays.fill(a, 0, n, 1.0); + a[n] = -1.0; + bl[0] = 0.0; + bu[0] = 0.0; + + // Input for linear constraint: r'y = 1 + Arrays.fill(irowa, n + 1, irowa.length, 2); + for (i = 0; i < n; i++) { + icola[(n + 1) + i] = i + 1; + } + for (i = 0; i < n; i++) { + a[(n + 1) + i] = r[i]; + } + bl[1] = 1.0; + bu[1] = 1.0; + + // Input for bound constraint: x >= 0 + Arrays.fill(blx, 0.0); + Arrays.fill(bux, 1.0e20); +``` + +Now we can call the NAG SOCP solver as follows. + +```java + ifail = 0; + + // Create problem handle + e04ra.eval(handle, n + 1, ifail); + handle = e04ra.getHANDLE(); + + // Set quadratic objective function + // In qcqp standard form q should be 2*V + for (i = 0; i < q.length; i++) { + q[i] = 2.0 * vVal[i]; + } + idqc = -1; + e04rs.eval(handle, 0.0, 0, idxr, r, nonZeroLength(q), irowq, icolq, q, idqc, ifail); + + // Set linear constraints + e04rj.eval(handle, bl.length, bl, bu, nonZeroLength(a), irowa, icola, a, 0, ifail); + + // Set bound constraint + e04rh.eval(handle, blx.length, blx, bux, ifail); + + // Set options + e04zm.eval(handle, "Print Options = NO", ifail); + e04zm.eval(handle, "Print Level = 1", ifail); + e04zm.eval(handle, "Print File = -1", ifail); + e04zm.eval(handle, "SOCP Scaling = A", ifail); + + // Call socp interior point solver + x = new double[n + 1]; + e04pt.eval(handle, n + 1, x, 0, u, 0, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + + x2d = convert1DTo2D(x, n); + VX = multiplyMatrices(V, x2d); + XVX = multiplyMatrices(invertRowColMatrix(x2d), VX); + + double srRisk = Math.sqrt(XVX[0][0]) / x[n]; + + r2d = convert1DTo2D(r, n); + RX = multiplyMatrices(invertRowColMatrix(r2d), x2d); + + double srRtn = RX[0][0] / x[n]; + + double[] srX = new double[n]; + for (i = 0; i < srX.length; i++) { + srX[i] = x[i] / x[n]; + } + + // Destroy the handle: + e04rz.eval(handle, ifail); + handle = e04rz.getHANDLE(); +``` + +
    + +
    + +
    + +# Portfolio optimization with tracking-error constraint + +To avoid taking unnecessary risk when beating a benchmark, the investors commonly impose a limit on the volatility of the deviation of the active portfolio from the benchmark, which is also known as tracking-error volatility (TEV) \cite{J03}. The model to build efficient frontier in excess-return space is +$$ +\begin{equation}\label{er_tev} +\begin{array}{ll} +\underset{x\in\Re^n}{\mbox{maximize}} & r^Tx\\ +\mbox{subject to} & e^Tx = 0,\\ + & x^TVx\leq tev, +\end{array} +\end{equation} +$$ +where $$tev$$ is a limit on the track-error. Roll \cite{R92} noted that problem (\ref{er_tev}) is totally independent of the benchmark and leads to the unpalatable result that the active portfolio has systematically higher risk than the benchmark and is not optimal. Therefore, in this section we solve a more advanced model by taking absolute risk into account as follows. +$$ +\begin{equation}\label{tev_model} +\begin{array}{ll} +\underset{x\in\Re^n}{\mbox{minimize}} & -r^Tx+\mu (x+b)^TV(x+b)\\ +\mbox{subject to} & e^Tx = 0,\\ + & x^TVx\leq tev,\\ + & x+b\geq0, +\end{array} +\end{equation} +$$ +where $$b$$ is a benchmark portfolio. In this demonstration, it is generated synthetically. Note here we use the same covariance matrix $$V$$ for tev and absolute risk measurement for demonstration purpose. In practice one could use different covariance matrices from different markets. + +```java +// Generate a benchmark portfolio from efficient portfolio that maximize the + // Sharpe ratio + // Perturb x + double[] b = new double[n]; + double sumB = 0; + for (i = 0; i < b.length; i++) { + b[i] = srX[i] + 1.0e-1; + sumB += b[i]; + } + + // Normalize b + for (i = 0; i < b.length; i++) { + b[i] /= sumB; + } + + // Set limit on tracking-error + double tev = 0.000002; + + // Compute risk and return at the benchmark + double[][] b2d = convert1DTo2D(b, n); + double[][] VB = multiplyMatrices(V, b2d); + double[][] BVB = multiplyMatrices(invertRowColMatrix(b2d), VB); + + double bRisk = Math.sqrt(BVB[0][0]); + + r2d = convert1DTo2D(r, n); + double[][] RB = multiplyMatrices(invertRowColMatrix(r2d), b2d); + + double bRtn = RB[0][0]; +``` + +
    + +```java + irowa = new int[n]; + icola = new int[n]; + a = new double[n]; + bl = new double[1]; + bu = new double[1]; + + // Input for linear constraint: e'x = 0 + Arrays.fill(irowa, 1); + for (i = 0; i < icola.length; i++) { + icola[i] = i + 1; + } + Arrays.fill(a, 1.0); + bl[0] = 0; + bu[0] = 0; + + // Input for bound constraint: x >= -b + blx = invertSignVector(b); + Arrays.fill(bux, 1.0e20); +``` + +
    + +```java +// Initialize output data: TEV risk and return + ArrayList tevRisk = new ArrayList<>(); + ArrayList tevRtn = new ArrayList<>(); + + double[] rMu = new double[n]; + double[][] Vb; + double[] Vb1d; + x = new double[n]; + double[] xb; + double[][] xb2d; + double[][] xbVxb; + + for (mu = 0; mu < step; mu++) { + ifail = 0; + + // Create problem handle + e04ra.eval(handle, n, ifail); + handle = e04ra.getHANDLE(); + + // Set quadratic objective function + // In qcqp standard form q should be 2*mu*V + for (i = 0; i < q.length; i++) { + q[i] = 2.0 * mu * vVal[i]; + } + Vb = multiplyMatrices(V, b2d); + Vb1d = convert2DTo1D(Vb); + for (i = 0; i < rMu.length; i++) { + rMu[i] = 2.0 * mu * Vb1d[i] - r[i]; + } + idqc = -1; + e04rs.eval(handle, 0.0, nonZeroLength(rMu), idxr, rMu, nonZeroLength(q), irowq, icolq, q, idqc, ifail); + + // Set quadratic constraint + // In qcqp standard form q should be 2*V + for (i = 0; i < q.length; i++) { + q[i] = 2.0 * vVal[i]; + } + idqc = 0; + e04rs.eval(handle, -tev, 0, idxr, rMu, nonZeroLength(q), irowq, icolq, q, idqc, ifail); + + // Set linear constraint e'x = 1 + e04rj.eval(handle, bl.length, bl, bu, nonZeroLength(a), irowa, icola, a, 0, ifail); + + // Set bound constraint + e04rh.eval(handle, blx.length, blx, bux, ifail); + + // Set options + e04zm.eval(handle, "Print Options = NO", ifail); + e04zm.eval(handle, "Print Level = 1", ifail); + e04zm.eval(handle, "Print File = -1", ifail); + e04zm.eval(handle, "SOCP Scaling = A", ifail); + + // Call socp interior point solver + // Mute warnings and do not count results from warnings + ifail = -1; + e04pt.eval(handle, n, x, 0, u, 0, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + + ifail = e04pt.getIFAIL(); + if (ifail == 0) { + // Compute risk and return from the portfolio + xb = addVectors(x, b); + xb2d = convert1DTo2D(xb, xb.length); + xbVxb = multiplyMatrices(invertRowColMatrix(xb2d), multiplyMatrices(V, xb2d)); + tevRisk.add(Math.sqrt(xbVxb[0][0])); + + tevRtn.add(multiplyMatrices(invertRowColMatrix(r2d), xb2d)[0][0]); + } + + // Destroy the handle: + e04rz.eval(handle, ifail); + handle = e04rz.getHANDLE(); + } +``` + +
    + +
    + +
    + +# Conclusion + +In this notebook, we demonstrated how to use NAG Library to solve various quadratic models in portfolio optimization. Conic optimization is usually a good choice to solve convex QCQP. It is worth pointing out that the versatility of SOCP is not just limited to the QCQP models mentioned here. It covers a lot more problems and constraints. For example, DeMiguel et al. \cite{DGNU09} discussed portfolio optimization with norm constraint, which can be easily transformed into an SOCP problem. We refer readers to the NAG Library documentation \cite{NAGDOC} on SOCP solver and \cite{AG03, LVBL98} for more details. + +# References + +[    1] Jorion Philippe, ``_Portfolio optimization with tracking-error constraints_'', Financial Analysts Journal, vol. 59, number 5, pp. 70--82, 2003. + +[2] Roll Richard, ``_A mean/variance analysis of tracking error_'', The Journal of Portfolio Management, vol. 18, number 4, pp. 13--22, 1992. + +[3] DeMiguel Victor, Garlappi Lorenzo, Nogales Francisco J et al., ``_A generalized approach to portfolio optimization: Improving performance by constraining portfolio norms_'', Management science, vol. 55, number 5, pp. 798--812, 2009. + +[4] Numerical Algorithms Group, ``_NAG documentation_'', 2019. [online](https://www.nag.com/numeric/fl/nagdoc_latest/html/frontmatter/manconts.html) + +[5] Alizadeh Farid and Goldfarb Donald, ``_Second-order cone programming_'', Mathematical programming, vol. 95, number 1, pp. 3--51, 2003. + +[6] Lobo Miguel Sousa, Vandenberghe Lieven, Boyd Stephen et al., ``_Applications of second-order cone programming_'', Linear algebra and its applications, vol. 284, number 1-3, pp. 193--228, 1998. From 250d5d2b77e5e5976a97c098d96ecdf27dcf7c85 Mon Sep 17 00:00:00 2001 From: Christos Date: Wed, 13 Jan 2021 17:13:32 +0200 Subject: [PATCH 096/196] Fixed latex format --- QCQP/Readme.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/QCQP/Readme.md b/QCQP/Readme.md index 740dd35..ed2ee28 100644 --- a/QCQP/Readme.md +++ b/QCQP/Readme.md @@ -8,6 +8,7 @@ The source of this example can be found [here](https://github.com/numericalalgor # Introduction Quadratically constrained quadratic programming (QCQP) is a type of optimization problem in which both the objective function and the constraints involve quadratic functions. A general QCQP problem has the following form + $$ \begin{equation} \begin{array}{ll} @@ -16,6 +17,7 @@ $$ \end{array} \end{equation} $$ + It appears in applications such as modern portfolio theory, machine learning, engineering and control. Convex QCQP is usually handled through conic optimization, or, more precisely, second-order cone programming (SOCP) due to its computational efficiency and ability to detect infeasibility. However, using SOCP to solve convex QCQP is nontrivial task which requires extra amount of effort to transform problem data and add auxiliary variables. In this notebook, we are going to demonstrate how to use the *NAG Optimization Modelling Suite* in the NAG Library to define and solve QCQP in portfolio optimization. # Data Preparation From ccbe4268be8e151d409f1ab59ac8a263d12635c7 Mon Sep 17 00:00:00 2001 From: Christos Date: Wed, 13 Jan 2021 17:25:31 +0200 Subject: [PATCH 097/196] Fixed latex format --- QCQP/Readme.md | 26 ++++++++++++++++++++------ 1 file changed, 20 insertions(+), 6 deletions(-) diff --git a/QCQP/Readme.md b/QCQP/Readme.md index ed2ee28..74a11f7 100644 --- a/QCQP/Readme.md +++ b/QCQP/Readme.md @@ -73,7 +73,9 @@ We consider daily prices for the 30 stocks in the DJIA from March 2018 to March
    -For each stock $$i$$, we first estimate the $$j$$th daily relative return as $$relative~return_{i,j} = \frac{closing~price_{i,j+1}-closing~price_{i,j}}{closing~price_{i,j}}.$$ +For each stock $$i$$, we first estimate the $$j$$th daily relative return as + +$$relative~return_{i,j} = \frac{closing~price_{i,j+1}-closing~price_{i,j}}{closing~price_{i,j}}.$$ ```java // Relative return @@ -127,6 +129,7 @@ Simply take arithmetic mean of each column of relative return to get mean return ## Efficient Frontier One of the major goals of portfolio management is to achieve a certain level of return under a specific risk measurement. Here we demonstrate how to use NAG Library to build efficient frontier by solving classical Markowitz model with long-only constraint (meaning, buy to hold and short selling is not allowed): + $$ \begin{equation}\label{MV_model} \begin{array}{ll} @@ -136,6 +139,7 @@ $$ \end{array} \end{equation} $$ + where $$e\in\Re^n$$ is vector of all ones and $$\mu$$ is a scalar controling trade-off between return and risk. Note one could build the efficient frontier by varying $$\mu$$ from $$0$$ to a certain value. ```java @@ -277,6 +281,7 @@ The input data is ready, we can easily build the efficient frontier as follows. ## Maximizing the Sharpe ratio The Sharpe ratio is defined as the ratio of return of portfolio and standard deviation of the portfolio's excess return. It is usually used to measure the efficiency of a portfolio. Find the most efficient portfolio is equivalent to solve the following optimization problem. + $$ \begin{equation}\label{sr_model} \begin{array}{ll} @@ -285,7 +290,11 @@ $$ & x\geq0. \end{array} \end{equation} -By replacing $$x$$ with $$\frac{y}{\lambda}, \lambda\gt0$$, model (\ref{sr_model}) is equivalent to +$$ + +By replacing $$x$$ with $$\frac{y}{\lambda}, \lambda\gt0$$, model $$(\ref{sr_model})$$ is equivalent to + +$$ \begin{equation}\label{sr_model_eq} \begin{array}{ll} \underset{y\in\Re^n, \lambda\in\Re}{\mbox{minimize}} & y^TVy\\[0.6ex] @@ -296,7 +305,8 @@ By replacing $$x$$ with $$\frac{y}{\lambda}, \lambda\gt0$$, model (\ref{sr_model \end{array} \end{equation} $$ -Problem (\ref{sr_model_eq}) is similar to problem (\ref{MV_model}) in the sense that they both have a quadratic objective function and linear constraints. + +Problem $$(\ref{sr_model_eq})$$ is similar to problem $$(\ref{MV_model})$$ in the sense that they both have a quadratic objective function and linear constraints. ```java // Input for linear constraint: e'y = lambda @@ -395,7 +405,8 @@ Now we can call the NAG SOCP solver as follows. # Portfolio optimization with tracking-error constraint -To avoid taking unnecessary risk when beating a benchmark, the investors commonly impose a limit on the volatility of the deviation of the active portfolio from the benchmark, which is also known as tracking-error volatility (TEV) \cite{J03}. The model to build efficient frontier in excess-return space is +To avoid taking unnecessary risk when beating a benchmark, the investors commonly impose a limit on the volatility of the deviation of the active portfolio from the benchmark, which is also known as tracking-error volatility (TEV) $$\cite{J03}$$. The model to build efficient frontier in excess-return space is + $$ \begin{equation}\label{er_tev} \begin{array}{ll} @@ -405,7 +416,9 @@ $$ \end{array} \end{equation} $$ -where $$tev$$ is a limit on the track-error. Roll \cite{R92} noted that problem (\ref{er_tev}) is totally independent of the benchmark and leads to the unpalatable result that the active portfolio has systematically higher risk than the benchmark and is not optimal. Therefore, in this section we solve a more advanced model by taking absolute risk into account as follows. + +where $$tev$$ is a limit on the track-error. Roll $$\cite{R92}$$ noted that problem $$(\ref{er_tev})$$ is totally independent of the benchmark and leads to the unpalatable result that the active portfolio has systematically higher risk than the benchmark and is not optimal. Therefore, in this section we solve a more advanced model by taking absolute risk into account as follows. + $$ \begin{equation}\label{tev_model} \begin{array}{ll} @@ -416,6 +429,7 @@ $$ \end{array} \end{equation} $$ + where $$b$$ is a benchmark portfolio. In this demonstration, it is generated synthetically. Note here we use the same covariance matrix $$V$$ for tev and absolute risk measurement for demonstration purpose. In practice one could use different covariance matrices from different markets. ```java @@ -558,7 +572,7 @@ where $$b$$ is a benchmark portfolio. In this demonstration, it is generated syn # Conclusion -In this notebook, we demonstrated how to use NAG Library to solve various quadratic models in portfolio optimization. Conic optimization is usually a good choice to solve convex QCQP. It is worth pointing out that the versatility of SOCP is not just limited to the QCQP models mentioned here. It covers a lot more problems and constraints. For example, DeMiguel et al. \cite{DGNU09} discussed portfolio optimization with norm constraint, which can be easily transformed into an SOCP problem. We refer readers to the NAG Library documentation \cite{NAGDOC} on SOCP solver and \cite{AG03, LVBL98} for more details. +In this notebook, we demonstrated how to use NAG Library to solve various quadratic models in portfolio optimization. Conic optimization is usually a good choice to solve convex QCQP. It is worth pointing out that the versatility of SOCP is not just limited to the QCQP models mentioned here. It covers a lot more problems and constraints. For example, DeMiguel et al. $$\cite{DGNU09}$$ discussed portfolio optimization with norm constraint, which can be easily transformed into an SOCP problem. We refer readers to the NAG Library documentation $$\cite{NAGDOC}$$ on SOCP solver and $$\cite{AG03, LVBL98}$$ for more details. # References From fe1ed48f9e0a1f1093c8edc2dc0289f22977bcd2 Mon Sep 17 00:00:00 2001 From: Christos Date: Wed, 13 Jan 2021 17:35:59 +0200 Subject: [PATCH 098/196] Small fix --- README.md | 1 + 1 file changed, 1 insertion(+) diff --git a/README.md b/README.md index 5721b6a..a175af3 100644 --- a/README.md +++ b/README.md @@ -1,5 +1,6 @@ > ## Important Information > This repository is still under development. +> > To see the documentation and a better view of this repository click [here](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/). # Examples using the NAG Library for Java From 4ddfe6b626c56b4ccb717d8f5f4cae57eb78f7a3 Mon Sep 17 00:00:00 2001 From: Christos Date: Thu, 14 Jan 2021 11:19:38 +0200 Subject: [PATCH 099/196] Fixed latex format --- QCQP/Readme.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/QCQP/Readme.md b/QCQP/Readme.md index 74a11f7..2763adc 100644 --- a/QCQP/Readme.md +++ b/QCQP/Readme.md @@ -283,7 +283,7 @@ The input data is ready, we can easily build the efficient frontier as follows. The Sharpe ratio is defined as the ratio of return of portfolio and standard deviation of the portfolio's excess return. It is usually used to measure the efficiency of a portfolio. Find the most efficient portfolio is equivalent to solve the following optimization problem. $$ -\begin{equation}\label{sr_model} +\begin{equation}\label{eq:sr_model} \begin{array}{ll} \underset{x\in\Re^n}{\mbox{minimize}} & \frac{\sqrt{x^TVx}}{r^Tx}\\[0.6ex] \mbox{subject to} & e^Tx = 1,\\[0.6ex] @@ -292,7 +292,7 @@ $$ \end{equation} $$ -By replacing $$x$$ with $$\frac{y}{\lambda}, \lambda\gt0$$, model $$(\ref{sr_model})$$ is equivalent to +By replacing $$x$$ with $$\frac{y}{\lambda}, \lambda\gt0$$, model $$(\ref{eq:sr_model})$$ is equivalent to $$ \begin{equation}\label{sr_model_eq} From c0d13883996d4bb75904142b70206f3dc88874e0 Mon Sep 17 00:00:00 2001 From: Christos Date: Thu, 14 Jan 2021 11:27:23 +0200 Subject: [PATCH 100/196] Fixed latex format --- QCQP/Readme.md | 1 + 1 file changed, 1 insertion(+) diff --git a/QCQP/Readme.md b/QCQP/Readme.md index 2763adc..b5fc09d 100644 --- a/QCQP/Readme.md +++ b/QCQP/Readme.md @@ -283,6 +283,7 @@ The input data is ready, we can easily build the efficient frontier as follows. The Sharpe ratio is defined as the ratio of return of portfolio and standard deviation of the portfolio's excess return. It is usually used to measure the efficiency of a portfolio. Find the most efficient portfolio is equivalent to solve the following optimization problem. $$ +\newcommand{\dd}[1]{\mathrm{d}#1} \begin{equation}\label{eq:sr_model} \begin{array}{ll} \underset{x\in\Re^n}{\mbox{minimize}} & \frac{\sqrt{x^TVx}}{r^Tx}\\[0.6ex] From 81da797f11769c7b17186b58c7ab4583b407e382 Mon Sep 17 00:00:00 2001 From: Christos Date: Thu, 14 Jan 2021 11:31:06 +0200 Subject: [PATCH 101/196] Fixed latex format --- QCQP/Readme.md | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/QCQP/Readme.md b/QCQP/Readme.md index b5fc09d..504a80a 100644 --- a/QCQP/Readme.md +++ b/QCQP/Readme.md @@ -283,14 +283,15 @@ The input data is ready, we can easily build the efficient frontier as follows. The Sharpe ratio is defined as the ratio of return of portfolio and standard deviation of the portfolio's excess return. It is usually used to measure the efficiency of a portfolio. Find the most efficient portfolio is equivalent to solve the following optimization problem. $$ -\newcommand{\dd}[1]{\mathrm{d}#1} -\begin{equation}\label{eq:sr_model} +\begin{equation} +\label{eq:sr_model} \begin{array}{ll} \underset{x\in\Re^n}{\mbox{minimize}} & \frac{\sqrt{x^TVx}}{r^Tx}\\[0.6ex] \mbox{subject to} & e^Tx = 1,\\[0.6ex] & x\geq0. \end{array} \end{equation} +(\ref{eq:sr_model}) $$ By replacing $$x$$ with $$\frac{y}{\lambda}, \lambda\gt0$$, model $$(\ref{eq:sr_model})$$ is equivalent to From 001f68f12076da9858a7bd6807dfb3d8b76f7187 Mon Sep 17 00:00:00 2001 From: Christos Date: Thu, 14 Jan 2021 11:37:57 +0200 Subject: [PATCH 102/196] Fixed latex format --- QCQP/Readme.md | 4 ++-- _layouts/default.html | 11 ++++++++++- 2 files changed, 12 insertions(+), 3 deletions(-) diff --git a/QCQP/Readme.md b/QCQP/Readme.md index 504a80a..1159226 100644 --- a/QCQP/Readme.md +++ b/QCQP/Readme.md @@ -291,13 +291,12 @@ $$ & x\geq0. \end{array} \end{equation} -(\ref{eq:sr_model}) $$ By replacing $$x$$ with $$\frac{y}{\lambda}, \lambda\gt0$$, model $$(\ref{eq:sr_model})$$ is equivalent to $$ -\begin{equation}\label{sr_model_eq} +\begin{equation} \begin{array}{ll} \underset{y\in\Re^n, \lambda\in\Re}{\mbox{minimize}} & y^TVy\\[0.6ex] \mbox{subject to} & e^Ty = \lambda,\\[0.6ex] @@ -305,6 +304,7 @@ $$ & y\geq0, \\ & \lambda\geq0. \end{array} +\label{sr_model_eq} \end{equation} $$ diff --git a/_layouts/default.html b/_layouts/default.html index b5e8733..a182685 100644 --- a/_layouts/default.html +++ b/_layouts/default.html @@ -30,7 +30,8 @@

    - {{ site.title | default: site.github.repository_name }} + {{ + site.title | default: site.github.repository_name }}

    {{ site.description | default: site.github.project_tagline }}

    @@ -75,6 +76,14 @@

    {{ site.description | default: site.github.project_tagl ga('send', 'pageview'); {% endif %} + + From 4a2bac41da039a4e1a89bf62c6901c41e1928657 Mon Sep 17 00:00:00 2001 From: Christos Date: Thu, 14 Jan 2021 11:44:01 +0200 Subject: [PATCH 103/196] Fixed latex format --- QCQP/Readme.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/QCQP/Readme.md b/QCQP/Readme.md index 1159226..fdb3c56 100644 --- a/QCQP/Readme.md +++ b/QCQP/Readme.md @@ -297,6 +297,7 @@ By replacing $$x$$ with $$\frac{y}{\lambda}, \lambda\gt0$$, model $$(\ref{eq:sr_ $$ \begin{equation} +\label{sr_model_eq} \begin{array}{ll} \underset{y\in\Re^n, \lambda\in\Re}{\mbox{minimize}} & y^TVy\\[0.6ex] \mbox{subject to} & e^Ty = \lambda,\\[0.6ex] @@ -304,7 +305,6 @@ $$ & y\geq0, \\ & \lambda\geq0. \end{array} -\label{sr_model_eq} \end{equation} $$ @@ -574,7 +574,7 @@ where $$b$$ is a benchmark portfolio. In this demonstration, it is generated syn # Conclusion -In this notebook, we demonstrated how to use NAG Library to solve various quadratic models in portfolio optimization. Conic optimization is usually a good choice to solve convex QCQP. It is worth pointing out that the versatility of SOCP is not just limited to the QCQP models mentioned here. It covers a lot more problems and constraints. For example, DeMiguel et al. $$\cite{DGNU09}$$ discussed portfolio optimization with norm constraint, which can be easily transformed into an SOCP problem. We refer readers to the NAG Library documentation $$\cite{NAGDOC}$$ on SOCP solver and $$\cite{AG03, LVBL98}$$ for more details. +In this notebook, we demonstrated how to use NAG Library to solve various quadratic models in portfolio optimization. Conic optimization is usually a good choice to solve convex QCQP. It is worth pointing out that the versatility of SOCP is not just limited to the QCQP models mentioned here. It covers a lot more problems and constraints. For example, DeMiguel et al. [3](#cit-DGNU09) discussed portfolio optimization with norm constraint, which can be easily transformed into an SOCP problem. We refer readers to the NAG Library documentation $$\cite{NAGDOC}$$ on SOCP solver and $$\cite{AG03, LVBL98}$$ for more details. # References From 306f32bc45b7207c3cfbe575544ecd0d552514a6 Mon Sep 17 00:00:00 2001 From: Christos Date: Thu, 14 Jan 2021 11:48:53 +0200 Subject: [PATCH 104/196] Fixed latex format --- QCQP/Readme.md | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/QCQP/Readme.md b/QCQP/Readme.md index fdb3c56..b35c5da 100644 --- a/QCQP/Readme.md +++ b/QCQP/Readme.md @@ -407,7 +407,7 @@ Now we can call the NAG SOCP solver as follows. # Portfolio optimization with tracking-error constraint -To avoid taking unnecessary risk when beating a benchmark, the investors commonly impose a limit on the volatility of the deviation of the active portfolio from the benchmark, which is also known as tracking-error volatility (TEV) $$\cite{J03}$$. The model to build efficient frontier in excess-return space is +To avoid taking unnecessary risk when beating a benchmark, the investors commonly impose a limit on the volatility of the deviation of the active portfolio from the benchmark, which is also known as tracking-error volatility (TEV) [[1](#cit-J03)]. The model to build efficient frontier in excess-return space is $$ \begin{equation}\label{er_tev} @@ -419,7 +419,7 @@ $$ \end{equation} $$ -where $$tev$$ is a limit on the track-error. Roll $$\cite{R92}$$ noted that problem $$(\ref{er_tev})$$ is totally independent of the benchmark and leads to the unpalatable result that the active portfolio has systematically higher risk than the benchmark and is not optimal. Therefore, in this section we solve a more advanced model by taking absolute risk into account as follows. +where $$tev$$ is a limit on the track-error. Roll [[2](#cit-R92)] noted that problem $$(\ref{er_tev})$$ is totally independent of the benchmark and leads to the unpalatable result that the active portfolio has systematically higher risk than the benchmark and is not optimal. Therefore, in this section we solve a more advanced model by taking absolute risk into account as follows. $$ \begin{equation}\label{tev_model} @@ -574,7 +574,7 @@ where $$b$$ is a benchmark portfolio. In this demonstration, it is generated syn # Conclusion -In this notebook, we demonstrated how to use NAG Library to solve various quadratic models in portfolio optimization. Conic optimization is usually a good choice to solve convex QCQP. It is worth pointing out that the versatility of SOCP is not just limited to the QCQP models mentioned here. It covers a lot more problems and constraints. For example, DeMiguel et al. [3](#cit-DGNU09) discussed portfolio optimization with norm constraint, which can be easily transformed into an SOCP problem. We refer readers to the NAG Library documentation $$\cite{NAGDOC}$$ on SOCP solver and $$\cite{AG03, LVBL98}$$ for more details. +In this notebook, we demonstrated how to use NAG Library to solve various quadratic models in portfolio optimization. Conic optimization is usually a good choice to solve convex QCQP. It is worth pointing out that the versatility of SOCP is not just limited to the QCQP models mentioned here. It covers a lot more problems and constraints. For example, DeMiguel et al. [[3](#cit-DGNU09)] discussed portfolio optimization with norm constraint, which can be easily transformed into an SOCP problem. We refer readers to the NAG Library documentation [[4](#cit-NAGDOC)] on SOCP solver and [[5](#cit-AG03), [6](#cit-LVBL98)] for more details. # References From b0789a4bb7116f1db3781a9f4397e219f1e7ae9c Mon Sep 17 00:00:00 2001 From: Christos Date: Thu, 14 Jan 2021 12:09:07 +0200 Subject: [PATCH 105/196] Updated README links --- QCQP/Readme.md | 3 +++ README.md | 2 +- nearest_correlation_matrices/Readme.md | 3 +++ 3 files changed, 7 insertions(+), 1 deletion(-) diff --git a/QCQP/Readme.md b/QCQP/Readme.md index b35c5da..88e830b 100644 --- a/QCQP/Readme.md +++ b/QCQP/Readme.md @@ -1,3 +1,6 @@ +> ## Important Information +> This repository can viewed as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/QCQP) or as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/QCQP). + # Quadratically constrained quadratic programming and its applications in portfolio optimization # Correct Rendering of this notebook diff --git a/README.md b/README.md index a175af3..7ff759e 100644 --- a/README.md +++ b/README.md @@ -1,7 +1,7 @@ > ## Important Information > This repository is still under development. > -> To see the documentation and a better view of this repository click [here](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/). +> This repository can viewed as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/) or as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/). # Examples using the NAG Library for Java diff --git a/nearest_correlation_matrices/Readme.md b/nearest_correlation_matrices/Readme.md index 34e369b..b35347b 100644 --- a/nearest_correlation_matrices/Readme.md +++ b/nearest_correlation_matrices/Readme.md @@ -1,3 +1,6 @@ +> ## Important Information +> This repository can viewed as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/) or as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/nearest_correlation_matrices). + # Nearest Correlation Matrices This notebook looks at computing *nearest correlation matrices* using the NAG Library for *Java*. From 06fcded3f82f9d20b63f7caa458972638128f847 Mon Sep 17 00:00:00 2001 From: Christos Date: Thu, 14 Jan 2021 12:14:54 +0200 Subject: [PATCH 106/196] Updated README links --- QCQP/Readme.md | 2 +- nearest_correlation_matrices/Readme.md | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/QCQP/Readme.md b/QCQP/Readme.md index 88e830b..b9ffc0c 100644 --- a/QCQP/Readme.md +++ b/QCQP/Readme.md @@ -1,5 +1,5 @@ > ## Important Information -> This repository can viewed as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/QCQP) or as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/QCQP). +> This repository can viewed as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/QCQP) or as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/QCQP). # Quadratically constrained quadratic programming and its applications in portfolio optimization diff --git a/nearest_correlation_matrices/Readme.md b/nearest_correlation_matrices/Readme.md index b35347b..593a6e6 100644 --- a/nearest_correlation_matrices/Readme.md +++ b/nearest_correlation_matrices/Readme.md @@ -1,5 +1,5 @@ > ## Important Information -> This repository can viewed as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/) or as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/nearest_correlation_matrices). +> This repository can viewed as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/nearest_correlation_matrices) or as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/nearest_correlation_matrices). # Nearest Correlation Matrices From de0547c57969c74f836de8c5c1939e8292c76c66 Mon Sep 17 00:00:00 2001 From: Christos Date: Thu, 14 Jan 2021 12:19:18 +0200 Subject: [PATCH 107/196] Updated README links --- QCQP/Readme.md | 2 ++ nearest_correlation_matrices/Readme.md | 2 ++ 2 files changed, 4 insertions(+) diff --git a/QCQP/Readme.md b/QCQP/Readme.md index b9ffc0c..989f982 100644 --- a/QCQP/Readme.md +++ b/QCQP/Readme.md @@ -1,5 +1,7 @@ > ## Important Information > This repository can viewed as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/QCQP) or as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/QCQP). +> +> See the top directory of this repository for instructions to set up the [NAG Library for Java](https://github.com/numericalalgorithmsgroup/NAGJavaExamples). # Quadratically constrained quadratic programming and its applications in portfolio optimization diff --git a/nearest_correlation_matrices/Readme.md b/nearest_correlation_matrices/Readme.md index 593a6e6..31d7ac8 100644 --- a/nearest_correlation_matrices/Readme.md +++ b/nearest_correlation_matrices/Readme.md @@ -1,5 +1,7 @@ > ## Important Information > This repository can viewed as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/nearest_correlation_matrices) or as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/nearest_correlation_matrices). +> +> See the top directory of this repository for instructions to set up the [NAG Library for Java](https://github.com/numericalalgorithmsgroup/NAGJavaExamples). # Nearest Correlation Matrices From afc82b001348126746409ade0b9de445c0841d93 Mon Sep 17 00:00:00 2001 From: Christos Date: Thu, 14 Jan 2021 17:19:37 +0200 Subject: [PATCH 108/196] Fixed link to examples --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 7ff759e..8124f07 100644 --- a/README.md +++ b/README.md @@ -14,7 +14,7 @@ This repository contains examples and demonstrations using the [NAG Library for ## Examples that ship with the product -The NAG Library for Java ships with a set of usage [examples](./simple_examples). +The NAG Library for Java ships with a set of usage [examples](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/simple_examples). ## Prerequisites From 7511163b80f5364a8b0f80edb71ef863836ad8e8 Mon Sep 17 00:00:00 2001 From: Christos Date: Thu, 14 Jan 2021 17:23:16 +0200 Subject: [PATCH 109/196] Updated Readme file --- nearest_correlation_matrices/Readme.md | 3 --- 1 file changed, 3 deletions(-) diff --git a/nearest_correlation_matrices/Readme.md b/nearest_correlation_matrices/Readme.md index 31d7ac8..7a1e27d 100644 --- a/nearest_correlation_matrices/Readme.md +++ b/nearest_correlation_matrices/Readme.md @@ -7,9 +7,6 @@ This notebook looks at computing *nearest correlation matrices* using the NAG Library for *Java*. -# Correct Rendering of this notebook -This file has a lot of Latex and GitHub currently cannot render it on Markdown files. [Here](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/nearest_correlation_matrices/) you can read it clearly. - The source of this example can be found [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/nearest_correlation_matrices/NcmNag.java). ## Correlation Matrices From 551f45db525337972afeaa3dc5b30578b51fcb65 Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 15 Jan 2021 13:14:44 +0000 Subject: [PATCH 110/196] Simple Examples Synced --- simple_examples/int32/A00AAJE.java | 16 ++ simple_examples/int32/A00ACJE.java | 29 ++ simple_examples/int32/A00ADJE.java | 107 ++++++++ simple_examples/int32/C02AAJE.java | 174 ++++++++++++ simple_examples/int32/C02ABJE.java | 217 +++++++++++++++ simple_examples/int32/C02AFJE.java | 271 +++++++++++++++++++ simple_examples/int32/C02AGJE.java | 262 ++++++++++++++++++ simple_examples/int32/C02AHJE.java | 61 +++++ simple_examples/int32/C02AJJE.java | 65 +++++ simple_examples/int32/C02AKJE.java | 62 +++++ simple_examples/int32/C02ALJE.java | 64 +++++ simple_examples/int32/C02AMJE.java | 75 ++++++ simple_examples/int32/C02ANJE.java | 80 ++++++ simple_examples/int32/C05AUJE.java | 67 +++++ simple_examples/int32/C05AWJE.java | 59 ++++ simple_examples/int32/C05AYJE.java | 44 +++ simple_examples/int32/C05AZJE.java | 65 +++++ simple_examples/int32/C05BBJE.java | 89 ++++++ simple_examples/int32/C05MBJE.java | 95 +++++++ simple_examples/int32/C05QBJE.java | 167 ++++++++++++ simple_examples/int32/C06BAJE.java | 56 ++++ simple_examples/int32/C06FKJE.java | 91 +++++++ simple_examples/int32/C09AAJE.java | 158 +++++++++++ simple_examples/int32/D01BDJE.java | 58 ++++ simple_examples/int32/D01RJJE.java | 184 +++++++++++++ simple_examples/int32/D01RKJE.java | 173 ++++++++++++ simple_examples/int32/D01RLJE.java | 196 ++++++++++++++ simple_examples/int32/D01RMJE.java | 163 +++++++++++ simple_examples/int32/D01TCJE.java | 45 ++++ simple_examples/int32/D02NEJE.java | 388 ++++++++++++++++++++++++++ simple_examples/int32/D02TLJE.java | 290 ++++++++++++++++++++ simple_examples/int32/D03PCJE.java | 217 +++++++++++++++ simple_examples/int32/D03RAJE.java | 307 +++++++++++++++++++++ simple_examples/int32/D03RBJE.java | 388 ++++++++++++++++++++++++++ simple_examples/int32/D05BAJE.java | 111 ++++++++ simple_examples/int32/D05BEJE.java | 185 +++++++++++++ simple_examples/int32/DTFSMJE.java | 54 ++++ simple_examples/int32/E01DAJE.java | 182 +++++++++++++ simple_examples/int32/E02ALJE.java | 101 +++++++ simple_examples/int32/E04ABJE.java | 76 ++++++ simple_examples/int32/E04BBJE.java | 81 ++++++ simple_examples/int32/E04CBJE.java | 90 +++++++ simple_examples/int32/E04FCJE.java | 420 +++++++++++++++++++++++++++++ simple_examples/int32/E04FFJE.java | 140 ++++++++++ simple_examples/int32/E04GBJE.java | 183 +++++++++++++ simple_examples/int32/E04GGJE.java | 219 +++++++++++++++ simple_examples/int32/E04MTJE.java | 132 +++++++++ simple_examples/int32/E04MXJE.java | 292 ++++++++++++++++++++ simple_examples/int32/E04NCJE.java | 246 +++++++++++++++++ simple_examples/int32/E04NFJE.java | 234 ++++++++++++++++ simple_examples/int32/E04NKJE.java | 295 ++++++++++++++++++++ simple_examples/int32/E04NQJE.java | 384 ++++++++++++++++++++++++++ simple_examples/int32/E04PTJE.java | 344 +++++++++++++++++++++++ simple_examples/int32/E04RPJE.java | 199 ++++++++++++++ simple_examples/int32/E04RSJE.java | 229 ++++++++++++++++ simple_examples/int32/E04RTJE.java | 225 ++++++++++++++++ simple_examples/int32/E04SAJE.java | 104 +++++++ simple_examples/int32/E04TAJE.java | 188 +++++++++++++ simple_examples/int32/E04TCJE.java | 263 ++++++++++++++++++ simple_examples/int32/E04UCJE.java | 211 +++++++++++++++ simple_examples/int32/E04YAJE.java | 112 ++++++++ simple_examples/int32/F01ADJE.java | 39 +++ simple_examples/int32/F01CKJE.java | 60 +++++ simple_examples/int32/F01CRJE.java | 47 ++++ simple_examples/int32/F01DGJE.java | 72 +++++ simple_examples/int32/F01ELJE.java | 89 ++++++ simple_examples/int32/F01EMJE.java | 106 ++++++++ simple_examples/int32/F02EKJE.java | 227 ++++++++++++++++ simple_examples/int32/F02FKJE.java | 230 ++++++++++++++++ simple_examples/int32/F02WGJE.java | 132 +++++++++ simple_examples/int32/F03BAJE.java | 108 ++++++++ simple_examples/int32/F04AMJE.java | 114 ++++++++ simple_examples/int32/F04BAJE.java | 144 ++++++++++ simple_examples/int32/F05AAJE.java | 99 +++++++ simple_examples/int32/F06CLJE.java | 40 +++ simple_examples/int32/F07AAJE.java | 90 +++++++ simple_examples/int32/F07ABJE.java | 134 +++++++++ simple_examples/int32/F07ADJE.java | 72 +++++ simple_examples/int32/F07AQJE.java | 99 +++++++ simple_examples/int32/F07FAJE.java | 79 ++++++ simple_examples/int32/F07FBJE.java | 122 +++++++++ simple_examples/int32/F08BTJE.java | 228 ++++++++++++++++ simple_examples/int32/F08FAJE.java | 113 ++++++++ simple_examples/int32/F08XPJE.java | 297 ++++++++++++++++++++ simple_examples/int32/G01ALJE.java | 55 ++++ simple_examples/int32/G02AKJE.java | 68 +++++ simple_examples/int32/G02BJJE.java | 303 +++++++++++++++++++++ simple_examples/int32/G02BRJE.java | 134 +++++++++ simple_examples/int32/G02DAJE.java | 187 +++++++++++++ simple_examples/int32/G02EEJE.java | 184 +++++++++++++ simple_examples/int32/G02MAJE.java | 130 +++++++++ simple_examples/int32/G03GAJE.java | 355 ++++++++++++++++++++++++ simple_examples/int32/G05KFJE.java | 105 ++++++++ simple_examples/int32/G13AWJE.java | 31 +++ simple_examples/int32/G13MEJE.java | 160 +++++++++++ simple_examples/int32/G13NAJE.java | 123 +++++++++ simple_examples/int32/H02BBJE.java | 92 +++++++ simple_examples/int32/H02DAJE.java | 228 ++++++++++++++++ simple_examples/int32/M01CCJE.java | 42 +++ simple_examples/int32/S01BAJE.java | 39 +++ simple_examples/int32/S10AAJE.java | 40 +++ simple_examples/int32/S10ABJE.java | 41 +++ simple_examples/int32/S10ACJE.java | 41 +++ simple_examples/int32/S14ABJE.java | 71 +++++ simple_examples/int32/S14ACJE.java | 68 +++++ simple_examples/int32/S14AFJE.java | 80 ++++++ simple_examples/int32/S17DCJE.java | 69 +++++ simple_examples/int32/S17DGJE.java | 61 +++++ simple_examples/int32/S30AAJE.java | 109 ++++++++ simple_examples/int32/S30ACJE.java | 129 +++++++++ simple_examples/int32/X03AAJE.java | 87 ++++++ simple_examples/int32/X04CBJE.java | 53 ++++ simple_examples/int32/X05ABJE.java | 25 ++ 113 files changed, 15934 insertions(+) create mode 100644 simple_examples/int32/A00AAJE.java create mode 100644 simple_examples/int32/A00ACJE.java create mode 100644 simple_examples/int32/A00ADJE.java create mode 100644 simple_examples/int32/C02AAJE.java create mode 100644 simple_examples/int32/C02ABJE.java create mode 100644 simple_examples/int32/C02AFJE.java create mode 100644 simple_examples/int32/C02AGJE.java create mode 100644 simple_examples/int32/C02AHJE.java create mode 100644 simple_examples/int32/C02AJJE.java create mode 100644 simple_examples/int32/C02AKJE.java create mode 100644 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simple_examples/int32/S10AAJE.java create mode 100644 simple_examples/int32/S10ABJE.java create mode 100644 simple_examples/int32/S10ACJE.java create mode 100644 simple_examples/int32/S14ABJE.java create mode 100644 simple_examples/int32/S14ACJE.java create mode 100644 simple_examples/int32/S14AFJE.java create mode 100644 simple_examples/int32/S17DCJE.java create mode 100644 simple_examples/int32/S17DGJE.java create mode 100644 simple_examples/int32/S30AAJE.java create mode 100644 simple_examples/int32/S30ACJE.java create mode 100644 simple_examples/int32/X03AAJE.java create mode 100644 simple_examples/int32/X04CBJE.java create mode 100644 simple_examples/int32/X05ABJE.java diff --git a/simple_examples/int32/A00AAJE.java b/simple_examples/int32/A00AAJE.java new file mode 100644 index 0000000..65b6c18 --- /dev/null +++ b/simple_examples/int32/A00AAJE.java @@ -0,0 +1,16 @@ +import com.nag.routines.A00.A00AA; + +/** + * A00AA example program text. + */ +public class A00AAJE { + + public static void main(String[] args) { + A00AA a00aa = new A00AA(); + + System.out.println(" A00AAJ Example Program Results\n"); + a00aa.eval(); + + } + +} diff --git a/simple_examples/int32/A00ACJE.java b/simple_examples/int32/A00ACJE.java new file mode 100644 index 0000000..7f44ba3 --- /dev/null +++ b/simple_examples/int32/A00ACJE.java @@ -0,0 +1,29 @@ +import com.nag.routines.A00.A00AC; + +/** + * A00AC example program text. + * @author Mo + */ +public class A00ACJE { + + public static void main(String[] args) { + A00AC a00ac = new A00AC(); + boolean lmok; + + System.out.println(" A00ACJ Example Program Results\n"); + System.out.println(); + + a00ac.eval(); + + lmok = a00ac.eval(); + + if (lmok) { + System.out.println("A valid licence key is available"); + } + else { + System.out.println("No valid licence key was found"); + } + + } + +} diff --git a/simple_examples/int32/A00ADJE.java b/simple_examples/int32/A00ADJE.java new file mode 100644 index 0000000..139c8b9 --- /dev/null +++ b/simple_examples/int32/A00ADJE.java @@ -0,0 +1,107 @@ +import com.nag.routines.A00.A00AD; +import com.nag.routines.X05.X05AA; +import java.util.Arrays; + +/** + * A00AD example program text. + */ +public class A00ADJE { + + public static void main(String[] args) { + + A00AD a00ad = new A00AD(); + X05AA x05aa = new X05AA(); + int i, mkmaj, mkmin; + boolean licval; + String fcomp, hdware, impl, opsys, pcode, prec, vend; + int[] itime = new int[7]; + + // Instantiate arguments + mkmaj = 0; + mkmin = 0; + licval = false; + + // Strings must be length expected by Fortran + fcomp = getBlankString(80); + hdware = getBlankString(80); + impl = getBlankString(80); + opsys = getBlankString(80); + pcode = getBlankString(80); + prec = getBlankString(80); + vend = getBlankString(80); + + System.out.println(" A00ADJ Example Program Results\n"); + + a00ad.eval(impl, prec, pcode, mkmaj, mkmin, hdware, opsys, fcomp, vend, licval); + + // Output scalars must be retrieved manually + impl = a00ad.getIMPL(); + prec = a00ad.getPREC(); + pcode = a00ad.getPCODE(); + mkmaj = a00ad.getMKMAJ(); + mkmin = a00ad.getMKMIN(); + hdware = a00ad.getHDWARE(); + opsys = a00ad.getOPSYS(); + fcomp = a00ad.getFCOMP(); + vend = a00ad.getVEND(); + licval = a00ad.getLICVAL(); + + // Print implementation details + + System.out.println("*** Start of NAG Library implementation details ***"); + System.out.println(); + System.out.println("Implementation title: " + impl.trim()); + System.out.println(" Precision: " + prec.trim()); + System.out.println(" Product code: " + pcode.trim()); + + if (mkmin < 10) { + System.out.printf(" Mark: %2d.%1d\n", mkmaj, mkmin); + } + else { + System.out.printf(" Mark: %2d.%2d\n", mkmaj, mkmin); + } + + if (vend.trim().equals("(self-contained)")) { + System.out.println(" Vendor Library: None"); + } + else { + System.out.println(" Vendor Library: " + vend.trim()); + } + + System.out.println("Applicable to:"); + System.out.println(" hardware: " + hdware.trim()); + System.out.println(" operating system: " + opsys.trim()); + System.out.println(" Fortran compiler: " + fcomp.trim()); + System.out.println("and compatible systems."); + + if (!licval) { + System.out.println(" Licence query: Unsuccessful"); + } + else { + System.out.println(" Licence query: Successful"); + } + + System.out.println(); + System.out.println("*** End of NAG Library implementation details ***"); + + } + + /** + * Returns a new String, filled with spaces to the specified length. + * + * @param len the required length of the String + * @return a blank String of the specified length + */ + public static String getBlankString(int len) { + + if (len > 0) { + char[] arr = new char[len]; + Arrays.fill(arr, ' '); + return new String(arr); + } + + return ""; + + } + +} diff --git a/simple_examples/int32/C02AAJE.java b/simple_examples/int32/C02AAJE.java new file mode 100644 index 0000000..1abc528 --- /dev/null +++ b/simple_examples/int32/C02AAJE.java @@ -0,0 +1,174 @@ +import com.nag.routines.C02.C02AA; +import com.nag.routines.Routine; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X02.X02AL; +import com.nag.types.NAGComplex; +import java.util.Arrays; + +/** + * C02AA example program text. + * @author joed + * @since 27.1.0.0 + */ +public class C02AAJE { + + public static void main(String[] args) { + + System.out.println(" C02AAJ Example Program Results"); + + Routine.setComplex(new NAGComplex()); + exampleBasic(); + examplePolishing(); + + System.out.println(); + + } + + /** Demonstrate a basic problem. */ + public static void exampleBasic() { + + C02AA c02aa = new C02AA(); + int ifail, itmax, n, polish; + NAGComplex[] a, z; + double[] berr, cond; + int[] conv; + + System.out.println(); + System.out.println("Example 1: Basic Problem"); + System.out.println(); + + // Set polynomial degree and instantiate arrays + n = 5; + a = new NAGComplex[n+1]; + berr = new double[n]; + cond = new double[n]; + conv = new int[n]; + z = NAGComplex.createArray(n); + + // Set polynomial coefficients + a[0] = new NAGComplex(5.0, 6.0); + a[1] = new NAGComplex(30.0, 20.0); + a[2] = new NAGComplex(-0.2, -6.0); + a[3] = new NAGComplex(50.0, 100000.0); + a[4] = new NAGComplex(-2.0, 40.0); + a[5] = new NAGComplex(10.0, 1.0); + + // Find roots of the polynomial + itmax = 30; + polish = 1; + ifail = 0; + c02aa.eval(a, n, itmax, polish, z, berr, cond, conv, ifail); + + // Print output + System.out.println(" i z conv berr cond "); + System.out.println(" ---------------------------------------------------"); + for (int i = 0; i < n; i++) { + System.out.printf(" %2d %9.2E, %9.2E %3d %9.2E %9.2E\n", i+1, + z[i].getRe(), z[i].getIm(), conv[i], berr[i], cond[i]); + } + + } + + /** Compare polishing processes on a Wilkinson-style polynomial. */ + public static void examplePolishing() { + + C02AA c02aa = new C02AA(); + X02AJ x02aj = new X02AJ(); + X02AL x02al = new X02AL(); + NAGComplex pz; + double delta, eps, err, fwderr, maxfwderr, maxrelerr, relerr, rmax; + int ifail, itmax, k, n, polish; + NAGComplex[] a, z, zact; + double[] berr, cond; + int[] conv; + boolean[] matched; + + System.out.println(); + System.out.println("Example 2: Polishing Processes"); + System.out.println(); + + // Set polynomial degree and instantiate + n = 10; + a = new NAGComplex[n+1]; + berr = new double[n]; + cond = new double[n]; + conv = new int[n]; + matched = new boolean[n]; + z = new NAGComplex[n]; + zact = new NAGComplex[n]; + + // Set known roots and (instantiate z) + for (int i = 0; i < n; i++) { + zact[i] = new NAGComplex((double) i+1, 0.0); + z[i] = new NAGComplex(); + } + + // Multiply out (z-1)(z-2)...(z-n) for coefficients + for (int i = 0; i < n; i++) { + a[i] = new NAGComplex(); + } + a[n] = new NAGComplex(1.0, 0.0); + for (int i = 0; i < n; i++) { + for (int j = 0; j < n; j++) { + a[j] = a[j+1].subtract(a[j].multiply(zact[i])); + } + a[n] = a[n].negate().multiply(zact[i]); + } + + System.out.println(" polish relerr fwderr "); + System.out.println(" ----------------------------"); + + itmax = 30; + eps = x02aj.eval(); + rmax = x02al.eval(); + + for (polish = 0; polish <= 2; polish++) { + + // Find roots + ifail = 0; + c02aa.eval(a, n, itmax, polish, z, berr, cond, conv, ifail); + + /* Calculate the maximum relative errors of the roots, and the maximum + * forward error evaluating the polynomial at those roots. Errors are + * capped at machine precision. */ + maxrelerr = maxfwderr = eps; + Arrays.fill(matched, false); + + for (int i = 0; i < n; i++) { + + // Evaluate polynomial at this root + pz = a[0].clone(); + for (int j = 1; j <= n; j++) { + pz = z[i].multiply(pz).add(a[j]); + } + + // Match to an expected root + k = 0; + err = rmax; + for (int j = 0; j < n; j++) { + if (!matched[j]) { + delta = z[i].subtract(zact[j]).abs(); + if (delta <= err) { + err = delta; + k = j; + } + } + } + + // Mark as matched and update max errors + matched[k] = true; + relerr = err/zact[k].abs(); + fwderr = pz.abs(); + maxrelerr = Math.max(maxrelerr, relerr); + maxfwderr = Math.max(maxfwderr, fwderr); + + } + + // Print output + System.out.printf(" %2d %10.2E%10.2E\n", polish, maxrelerr, maxfwderr); + + } + + } + +} diff --git a/simple_examples/int32/C02ABJE.java b/simple_examples/int32/C02ABJE.java new file mode 100644 index 0000000..fad5ebb --- /dev/null +++ b/simple_examples/int32/C02ABJE.java @@ -0,0 +1,217 @@ +import com.nag.routines.C02.C02AB; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X02.X02AL; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * C02AB + */ +public class C02ABJE { + + public static void main(String[] args) { + + final boolean polish_example = false; + + Routine.setComplex(new NAGComplex()); + + System.out.println(" C02ABJ Example Program Results"); + + ex1_basic(args); + if (polish_example) { + ex2_polishing(args); + } + } + + public static void ex1_basic(String[] args) { + + int i, ifail, itmax, n = 0, polish; + + NAGComplex[] z = null; + double[] a = null, berr = null, cond = null; + int[] conv = null; + + System.out.println("\n Basic Problem\n"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading in data file + String line = reader.readLine(); + line = reader.readLine(); + line = reader.readLine(); + + // Read polynomial degree and allocate + line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + a = new double[n + 1]; + berr = new double[n]; + cond = new double[n]; + conv = new int[n]; + z = NAGComplex.createArray(n); + + // Read polynomial coefficients + for (i = 0; i <= n; i++) { + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + a[i] = Double.parseDouble(sVal[0]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Find roots of the polynomial + itmax = 30; + polish = 1; + ifail = 0; + C02AB c02ab = new C02AB(); + c02ab.eval(a ,n, itmax, polish, z, berr, cond, conv, ifail); + + // Print output + System.out.println(" i z conv berr cond"); + System.out.println(" -----------------------------------------------------"); + for (i = 0; i < n; i++) { + System.out.printf(" %2d (%10.2E, %9.2E) %3d %9.2E %9.2E\n", i+1, z[i].getRe(), z[i].getIm(), conv[i], berr[i], cond[i]); + } + } + + public static void ex2_polishing(String[] args) { + NAGComplex pz = new NAGComplex(); + double delta, eps, err, fwderr, maxfwderr, maxrelerr, relerr, rmax; + int i, ifail, itmax, j, k, n = 0, polish; + + NAGComplex[] z = null, zact = null; + double[] a = null, berr = null, cond = null; + int[] conv = null; + boolean[] matched = null; + + System.out.println("\n Polishing Processes\n"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading and previous example in data file + for (i = 0; i <= 12; i++) { + reader.readLine(); + } + + // Read polynomial degree and allocate + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + + a = new double[n + 1]; + berr = new double[n]; + cond = new double[n]; + conv = new int[n]; + matched = new boolean[n]; + z = NAGComplex.createArray(n); + zact = NAGComplex.createArray(n); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Set known roots + for (i = 0; i < n; i++) { + zact[i] = new NAGComplex((double) (i + 1), 0.0); + } + + // Multiply out (z-1)(z-2)...(z-n) for coefficients + for (i = 0; i < n; i++) { + a[i] = 0.0; + } + a[n] = 1.0; + for (i = 0; i < n; i++) { + for (j = 0; j < n; j++) { + a[j] = a[j + 1] - a[j] * zact[i].getRe(); + } + a[n] = -a[n] * zact[i].getRe(); + } + + System.out.println(" polish relerr fwderr"); + System.out.println(" ----------------------------"); + + // Use different polish modes + X02AJ x02aj = new X02AJ(); + X02AL x02al = new X02AL(); + for (polish = 0; polish <= 2; polish++) { + + itmax = 30; + eps = x02aj.eval(); + rmax = x02al.eval(); + + // Find roots + ifail = 0; + C02AB c02ab = new C02AB(); + c02ab.eval(a, n , itmax, polish, z, berr, cond, conv, ifail); + + // Calculate the maximum relative errors of the roots, and the maximum + // forward error evaluating the polynomial at those roots. Errors are + // capped at machine precision. + maxrelerr = eps; + maxfwderr = eps; + Arrays.fill(matched, false); + + for (i = 0; i < n; i++) { + // Evaluate polynomial at this root + pz = new NAGComplex(a[0], 0.0); + for (j = 1; j <= n; j++) { + pz = z[i].multiply(pz).add(new NAGComplex(a[j], 0.0)); + } + + // Match to an expected root + k = 0; + err = rmax; + for (j = 0; j < n; j++) { + if (!matched[j]) { + delta = z[i].subtract(zact[j]).abs(); + if (delta <= err) { + err = delta; + k = j; + } + } + } + + // Mark as matched and update max errors + matched[k] = true; + relerr = err/zact[k].abs(); + fwderr = pz.abs(); + maxrelerr = Math.max(maxrelerr, relerr); + maxfwderr = Math.max(maxfwderr, fwderr); + } + + // Print output + System.out.printf(" %2d %10.2E%10.2E\n", polish, maxrelerr, maxfwderr); + + } + } +} diff --git a/simple_examples/int32/C02AFJE.java b/simple_examples/int32/C02AFJE.java new file mode 100644 index 0000000..6043be7 --- /dev/null +++ b/simple_examples/int32/C02AFJE.java @@ -0,0 +1,271 @@ +import com.nag.routines.C02.C02AF; +import com.nag.routines.A02.A02AB; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X02.X02AL; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * C02AF + */ +public class C02AFJE { + + public static final boolean scal = true; + + public static void main(String[] args) { + + System.out.println(" C02AFJ Example Program Results"); + + ex1(args); + + ex2(args); + } + + public static void ex1(String[] args) { + + int i, ifail, n = 0; + + double[][] a = null, z = null; + double[] w = null; + + System.out.println("\n\n Example 1"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading in data file + reader.readLine(); + reader.readLine(); + reader.readLine(); + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + + a = new double[2][n + 1]; + w = new double[4 * (n + 1)]; + z = new double[2][n]; + + for (i = 0; i <= n; i++) { + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + a[0][i] = Double.parseDouble(sVal[0]); + a[1][i] = Double.parseDouble(sVal[1]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = 0; + C02AF c02af = new C02AF(); + double[] a1d = convert2DTo1D(a); + double[] z1d = convert2DTo1D(z); + c02af.eval(a1d, n, scal, z1d, w, ifail); + + z = convert1DTo2D(z1d, 2); + + System.out.println(); + System.out.printf(" Degree of polynomial = %4d\n", n); + System.out.println(); + System.out.println(" Computed roots of polynomial"); + System.out.println(); + + for (i = 0; i < n; i++) { + System.out.printf(" z = %12.4E%+12.4E*i\n", z[0][i], z[1][i]); + } + + } + + public static void ex2(String[] args) { + + double deltac, deltai, di, eps, epsbar, f, r1, r2, r3, rmax; + int i, ifail, j, jmin = 0, n = 0; + + double[][] a = null, abar = null, z = null, zbar = null; + double[] r = null, w = null; + int[] m = null; + + System.out.println("\n\n Example 2"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading and previous example in data file + for (i = 0; i < 12; i++) { + reader.readLine(); + } + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + a = new double[2][n + 1]; + abar = new double[2][n + 1]; + r = new double[n]; + w = new double[4 * (n + 1)]; + z = new double[2][n]; + zbar = new double[2][n]; + m = new int[n]; + + // Read in the coefficients of the original polynomial. + for (i = 0; i <= n; i++) { + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + a[0][i] = Double.parseDouble(sVal[0]); + a[1][i] = Double.parseDouble(sVal[1]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Compute the roots of the original polynomial. + ifail = 0; + C02AF c02af = new C02AF(); + double[] a1d = convert2DTo1D(a); + double[] z1d = convert2DTo1D(z); + c02af.eval(a1d, n, scal, z1d, w, ifail); + + z = convert1DTo2D(z1d, 2); + + // Form the coefficients of the perturbed polynomial. + X02AJ x02aj = new X02AJ(); + eps = x02aj.eval(); + epsbar = 3.0 * eps; + + for (i = 0; i <= n; i++) { + if (a[0][i] != 0.0E0) { + f = 1.0E0 + epsbar; + epsbar = -epsbar; + abar[0][i] = f * a[0][i]; + + if (a[1][i] != 0.0E0) { + abar[1][i] = f * a[1][i]; + } else { + abar[1][i] = 0.0E0; + } + + } else { + + if (a[1][i] != 0.0E0) { + f = 1.0E0 + epsbar; + epsbar = -epsbar; + abar[1][i] = f * a[1][i]; + } else { + abar[1][i] = 0.0E0; + } + } + } + + // Compute the roots of the perturbed polynomial. + ifail = 0; + double[] abar1d = convert2DTo1D(abar); + double[] zbar1d = convert2DTo1D(zbar); + c02af.eval(abar1d, n, scal, zbar1d, w, ifail); + + zbar = convert1DTo2D(zbar1d, 2); + + // Perform error analysis. + + // Initialize markers to 0 (unmarked). + Arrays.fill(m, 0); + X02AL x02al = new X02AL(); + rmax = x02al.eval(); + + // Loop over all unperturbed roots (stored in Z). + A02AB a02ab = new A02AB(); + for (i = 0; i < n; i++) { + deltai = rmax; + r1 = a02ab.eval(z[0][i], z[1][i]); + + // Loop over all perturbed roots (stored in ZBAR). + for (j = 0; j < n; j++) { + // Compare the current unperturbed root to all unmarked + // perturbed roots. + + if (m[j] == 0) { + r2 = a02ab.eval(zbar[0][j], zbar[1][j]); + deltac = Math.abs(r1 - r2); + + if (deltac < deltai) { + deltai = deltac; + jmin = j; + } + } + } + + // Mark the selected perturbed root. + m[jmin] = 1; + + // Compute the relative error. + if (r1 != 0.0E0) { + r3 = a02ab.eval(zbar[0][jmin], zbar[1][jmin]); + di = Math.min(r1, r3); + r[i] = Math.max(deltai / Math.max(di, deltai / rmax), eps); + } else { + r[i] = 0.0E0; + } + } + + System.out.println(); + System.out.printf(" Degree of polynomial = %4d\n", n); + System.out.println(); + System.out.println(" Computed roots of polynomial Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < n; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", z[0][i], z[1][i], r[i]); + } + + } + + public static double[] convert2DTo1D(double[][] a) { + double[] b = new double[a.length * a[0].length]; + int n = a.length; + + for (int i = 0; i < a.length; i++) { + for (int j = 0; j < a[0].length; j++) { + b[i + j*n] = a[i][j]; + } + } + + return b; + } + + public static double[][] convert1DTo2D(double[] a, int n) { + double[][] b = new double[n][a.length / n]; + + for (int i = 0; i < b.length; i++) { + for (int j = 0; j < b[0].length; j++) { + b[i][j] = a[i + j*n]; + } + } + + return b; + } +} diff --git a/simple_examples/int32/C02AGJE.java b/simple_examples/int32/C02AGJE.java new file mode 100644 index 0000000..c58e524 --- /dev/null +++ b/simple_examples/int32/C02AGJE.java @@ -0,0 +1,262 @@ +import com.nag.routines.C02.C02AG; +import com.nag.routines.A02.A02AB; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X02.X02AL; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * C02AG + */ +public class C02AGJE { + + public static final boolean scal = true; + + public static void main(String[] args) { + + System.out.println(" C02AGJ Example Program Results"); + + ex1(args); + + ex2(args); + } + + public static void ex1(String[] args) { + double zi, zr; + int i, ifail, n = 0, nroot; + + double[] a = null, w = null; + double[][] z = null; + + System.out.println("\n\n Example 1\n"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading in data file + reader.readLine(); + reader.readLine(); + reader.readLine(); + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + a = new double[n + 1]; + w = new double[2 * (n + 1)]; + z = new double[2][n]; + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i <= n; i++) { + a[i] = Double.parseDouble(sVal[i]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + System.out.println(); + System.out.printf(" Degree of polynomial = %4d\n", n); + System.out.println(); + + ifail = 0; + C02AG c02ag = new C02AG(); + double[] z1d = convert2DTo1D(z); + c02ag.eval(a, n, scal, z1d, w, ifail); + + z = convert1DTo2D(z1d, 2); + + System.out.println(" Computed roots of polynomial"); + System.out.println(); + + nroot = 0; + + while (nroot < n) { + zr = z[0][nroot]; + zi = z[1][nroot]; + if (zi == 0.0E0) { + System.out.printf(" z = %12.4E\n", zr); + nroot += 1; + } else { + System.out.printf(" z = %12.4E +/- %12.4E*i\n", zr, Math.abs(zi)); + nroot += 2; + } + } + } + + public static void ex2(String[] args) { + + double deltac, deltai, di, eps, epsbar, f, r1, r2, r3, rmax; + int i, ifail, j, jmin = 0, n = 0; + + double[] a = null, abar = null, r = null, w = null; + double[][] z = null, zbar = null; + int[] m = null; + + System.out.println("\n\n Example 2"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading and previous example in data file + for (i = 0; i < 7; i++) { + reader.readLine(); + } + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + + a = new double[n+1]; + abar = new double[n+1]; + r = new double[n]; + w = new double[2 * (n+1)]; + z = new double[2][n]; + zbar = new double[2][n]; + m = new int[n]; + + // Read in the coefficients of the original polynomial. + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i <= n; i++) { + a[i] = Double.parseDouble(sVal[i]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Compute the roots of the original polynomial. + ifail = 0; + C02AG c02ag = new C02AG(); + double[] z1d = convert2DTo1D(z); + c02ag.eval(a, n, scal, z1d ,w, ifail); + + z = convert1DTo2D(z1d, 2); + + // Form the coefficients of the perturbed polynomial. + X02AJ x02aj = new X02AJ(); + eps = x02aj.eval(); + epsbar= 3.0 * eps; + + for (i = 0; i <= n; i++) { + if (a[i] != 0.0) { + f = 1.0 + epsbar; + epsbar = -epsbar; + abar[i] = f * a[i]; + } else { + abar[i] = 0.0E0; + } + } + + // Compute the roots of the perturbed polynomial. + ifail = 0; + double[] zbar1d = convert2DTo1D(zbar); + c02ag.eval(abar, n, scal, zbar1d, w, ifail); + + zbar = convert1DTo2D(zbar1d, 2); + + // Perform error analysis. + + // Initialize markers to 0 (unmarked). + Arrays.fill(m, 0); + + X02AL x02al = new X02AL(); + rmax = x02al.eval(); + + // Loop over all unperturbed roots (stored in Z). + A02AB a02ab = new A02AB(); + for (i = 0; i < n; i++) { + deltai = rmax; + r1 = a02ab.eval(z[0][i], z[1][i]); + + // Loop over all perturbed roots (stored in ZBAR). + for (j = 0; j < n; j++) { + // Compare the current unperturbed root to all unmarked + // perturbed roots. + + if (m[j] == 0) { + r2 = a02ab.eval(zbar[0][i], zbar[1][i]); + deltac = Math.abs(r1-r2); + + if (deltac < deltai) { + deltai = deltac; + jmin = j; + } + } + } + + // Mark the selected perturbed root. + m[jmin] = 1; + + // Compute the relative error. + if (r1 != 0.0E0) { + r3 = a02ab.eval(zbar[0][jmin], zbar[1][jmin]); + di = Math.min(r1, r3); + r[i] = Math.max(deltai / Math.max(di, deltai / rmax), eps); + } else { + r[i] = 0.0; + } + } + + System.out.println(); + System.out.printf(" Degree of polynomial = %4d\n", n); + System.out.println(); + System.out.println(" Computed roots of polynomial Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < n; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", z[0][i], z[1][i], r[i]); + } + } + + public static double[] convert2DTo1D(double[][] a) { + double[] b = new double[a.length * a[0].length]; + int n = a.length; + + for (int i = 0; i < a.length; i++) { + for (int j = 0; j < a[0].length; j++) { + b[i + j * n] = a[i][j]; + } + } + + return b; + } + + public static double[][] convert1DTo2D(double[] a, int n) { + double[][] b = new double[n][a.length / n]; + + for (int i = 0; i < b.length; i++) { + for (int j = 0; j < b[0].length; j++) { + b[i][j] = a[i + j * n]; + } + } + + return b; + } +} diff --git a/simple_examples/int32/C02AHJE.java b/simple_examples/int32/C02AHJE.java new file mode 100644 index 0000000..b1e12cd --- /dev/null +++ b/simple_examples/int32/C02AHJE.java @@ -0,0 +1,61 @@ +import com.nag.routines.C02.C02AH; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AH + */ +public class C02AHJE { + + public static void main(String[] args) { + + double ai = 0, ar = 0, bi = 0, br = 0, ci = 0, cr = 0; + int ifail; + + double[] zlg = new double[2]; + double[] zsm = new double[2]; + + System.out.println(" C02AHJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + ar = Double.parseDouble(sVal[0]); + ai = Double.parseDouble(sVal[1]); + br = Double.parseDouble(sVal[2]); + bi = Double.parseDouble(sVal[3]); + cr = Double.parseDouble(sVal[4]); + ci = Double.parseDouble(sVal[5]); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = -1; + C02AH c02ah = new C02AH(); + c02ah.eval(ar, ai, br, bi, cr, ci, zsm, zlg, ifail); + ifail = c02ah.getIFAIL(); + + if (ifail == 0) { + System.out.println("\n Roots of quadratic equation\n"); + System.out.printf(" z = %12.4E%+14.4E*i\n", zsm[0], zsm[1]); + System.out.printf(" z = %12.4E%+14.4E*i\n", zlg[0], zlg[1]); + } + } +} diff --git a/simple_examples/int32/C02AJJE.java b/simple_examples/int32/C02AJJE.java new file mode 100644 index 0000000..64e3a5e --- /dev/null +++ b/simple_examples/int32/C02AJJE.java @@ -0,0 +1,65 @@ +import com.nag.routines.C02.C02AJ; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AJ + */ +public class C02AJJE { + + public static void main(String[] args) { + + double a = 0, b = 0, c = 0; + int ifail; + + double[] zlg = new double[2]; + double[] zsm = new double[2]; + + System.out.println(" C02AJJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + a = Double.parseDouble(sVal[0]); + b = Double.parseDouble(sVal[1]); + c = Double.parseDouble(sVal[2]); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = -1; + C02AJ c02aj = new C02AJ(); + c02aj.eval(a, b, c, zsm, zlg, ifail); + ifail = c02aj.getIFAIL(); + + if (ifail == 0) { + System.out.println("\n Roots of quadratic equation\n"); + + if (zsm[1] == 0.0E0) { + // 2 real roots. + System.out.printf(" z = %12.4E\n", zsm[0]); + System.out.printf(" z = %12.4E\n", zlg[0]); + } else { + // 2 complex roots. + System.out.printf(" z = %12.4E +/- %12.4E*i", zsm[0], Math.abs(zsm[1])); + } + } + } +} diff --git a/simple_examples/int32/C02AKJE.java b/simple_examples/int32/C02AKJE.java new file mode 100644 index 0000000..4a0579f --- /dev/null +++ b/simple_examples/int32/C02AKJE.java @@ -0,0 +1,62 @@ +import com.nag.routines.C02.C02AK; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AK + */ +public class C02AKJE { + + public static void main(String[] args) { + + double r = 0, s = 0, t = 0, u = 0; + int i, ifail; + + double[] errest = new double[3]; + double[] zeroi = new double[3]; + double[] zeror = new double[3]; + + System.out.println(" C02AKJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + u = Double.parseDouble(sVal[0]); + r = Double.parseDouble(sVal[1]); + s = Double.parseDouble(sVal[2]); + t = Double.parseDouble(sVal[3]); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = 0; + C02AK c02ak = new C02AK(); + c02ak.eval(u, r, s, t, zeror, zeroi, errest, ifail); + + System.out.println(); + System.out.println(" Roots of cubic equation Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < 3; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); + } + } +} diff --git a/simple_examples/int32/C02ALJE.java b/simple_examples/int32/C02ALJE.java new file mode 100644 index 0000000..4f9eac9 --- /dev/null +++ b/simple_examples/int32/C02ALJE.java @@ -0,0 +1,64 @@ +import com.nag.routines.C02.C02AL; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AL + */ +public class C02ALJE { + + public static void main(String[] args) { + + double a = 0, b = 0, c = 0, d = 0, e = 0; + int i, ifail; + + double[] errest = new double[4]; + double[] zeroi = new double[4]; + double[] zeror = new double[4]; + + System.out.println(" C02ALJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + e = Double.parseDouble(sVal[0]); + a = Double.parseDouble(sVal[1]); + b = Double.parseDouble(sVal[2]); + c = Double.parseDouble(sVal[3]); + d = Double.parseDouble(sVal[4]); + + } catch (FileNotFoundException e_exception) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e_exception) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e_exception.getMessage()); + } + + ifail = 0; + C02AL c02al = new C02AL(); + c02al.eval(e, a, b, c, d, zeror, zeroi, errest, ifail); + ifail = c02al.getIFAIL(); + + System.out.println(); + System.out.println(" Roots of quartic equation Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < 4; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); + } + } +} diff --git a/simple_examples/int32/C02AMJE.java b/simple_examples/int32/C02AMJE.java new file mode 100644 index 0000000..f1fffa4 --- /dev/null +++ b/simple_examples/int32/C02AMJE.java @@ -0,0 +1,75 @@ +import com.nag.routines.C02.C02AM; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AM + */ +public class C02AMJE { + + public static void main(String[] args) { + + Routine.setComplex(new NAGComplex()); + + NAGComplex r = null, s = null, t = null, u = null; + int i, ifail; + + double[] errest = new double[3]; + double[] zeroi = new double[3]; + double[] zeror = new double[3]; + + System.out.println(" C02AMJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine().replaceAll("[(),]", ""); + String[] sVal = line.trim().split("\\s+"); + u = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + r = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + s = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + t = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = 0; + C02AM c02am = new C02AM(); + c02am.eval(u, r, s, t, zeror, zeroi, errest, ifail); + + System.out.println(); + System.out.println(" Roots of cubic equation Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < 3; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); + } + } +} diff --git a/simple_examples/int32/C02ANJE.java b/simple_examples/int32/C02ANJE.java new file mode 100644 index 0000000..dc865e2 --- /dev/null +++ b/simple_examples/int32/C02ANJE.java @@ -0,0 +1,80 @@ +import com.nag.routines.C02.C02AN; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AN + */ +public class C02ANJE { + + public static void main(String[] args) { + + Routine.setComplex(new NAGComplex()); + + NAGComplex a = null, b = null, c = null, d = null, e = null; + int i, ifail; + + double[] errest = new double[4]; + double[] zeroi = new double[4]; + double[] zeror = new double[4]; + + System.out.println(" C02ANJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine().replaceAll("[(),]", ""); + String[] sVal = line.trim().split("\\s+"); + e = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + a = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + b = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + c = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + d = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + } catch (FileNotFoundException e_exception) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e_exception) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e_exception.getMessage()); + } + + ifail = 0; + C02AN c02an = new C02AN(); + c02an.eval(e, a, b, c, d, zeror, zeroi, errest, ifail); + ifail = c02an.getIFAIL(); + + System.out.println(); + System.out.println(" Roots of quartic equation Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < 4; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); + } + } +} diff --git a/simple_examples/int32/C05AUJE.java b/simple_examples/int32/C05AUJE.java new file mode 100644 index 0000000..d2b09b1 --- /dev/null +++ b/simple_examples/int32/C05AUJE.java @@ -0,0 +1,67 @@ +import com.nag.routines.C05.C05AU; + +/** + * C05AUJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class C05AUJE{ + + /** + * C05AUJ main program + */ + public static void main(String[] args){ + double a = 0, b = 0, eps, eta, h, x; //placeholders + int ifail; + double[] ruser; + int[] iuser; + + ruser = new double[1]; //need to initialise before passing to wrapper + iuser = new int[1]; + + System.out.println("C05AUJ Example Program Results"); + + x = 1; + h = 0.1; + eps = 0.00001; + eta = 0; + + //Instance of class f to pass to wrapper + f f1 = new f(); + + ifail = -1; + C05AU c05au = new C05AU(x, h, eps, eta, f1, a, b, iuser, ruser, ifail); + c05au.eval(); + + //update values + x = c05au.getX(); + a = c05au.getA(); + b = c05au.getB(); + ifail = c05au.getIFAIL(); + + System.out.println(); + + switch(ifail){ + case 0: + System.out.printf("Root is : \t%.5f\n", x); + System.out.printf("Interval searched is : \t[ %.5f, %.5f]\n", a, b); + break; + case 3: + case 4: + System.out.printf("Final value = %.5f\n", x); + break; + } + } + + /** + * Extends abstract class C05AU.Abstract_C05AU_F. eval() returns the value of the function at a given x. + * eval() must be implemented by the user. + * @return x - e^x + */ + public static class f extends C05AU.Abstract_C05AU_F{ + public double eval(){ + return(this.X - Math.exp(-this.X)); + } + } +} + diff --git a/simple_examples/int32/C05AWJE.java b/simple_examples/int32/C05AWJE.java new file mode 100644 index 0000000..6ea3c9f --- /dev/null +++ b/simple_examples/int32/C05AWJE.java @@ -0,0 +1,59 @@ +import com.nag.routines.C05.C05AW; + +public class C05AWJE{ + + public static void main(String[] args){ + double eps, eta, x; + int ifail, nfmax; + double[] ruser; + int[] iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println("C05AWJ Example Program Results"); + System.out.println(); + + boolean finished = false; + for(int i = 3; i <= 4; i++){ + eps = Math.pow(10, -i); + x = 1; + eta = 0; + nfmax = 200; + + ifail = -1; + f f1 = new f(); + C05AW c05aw = new C05AW(x, eps, eta, f1, nfmax, iuser, ruser, ifail); + c05aw.eval(); + + ifail = c05aw.getIFAIL(); + x = c05aw.getX(); + eps = c05aw.getEPS(); + + switch(ifail){ + case(0): + System.out.printf("With eps = %.2e root = %.5f\n", eps, x); + break; + case(-1): + //exit loop + finished = true; + break; + case(3): + case(4): + System.out.printf("With eps = %.2e root = %.5f\n", eps, x); + break; + } + if(finished){ + break; + } + } + } + + public static class f extends C05AW.Abstract_C05AW_F{ + public double eval(){ + return(Math.exp(-X) - X); + } + } +} + + diff --git a/simple_examples/int32/C05AYJE.java b/simple_examples/int32/C05AYJE.java new file mode 100644 index 0000000..c9ee43b --- /dev/null +++ b/simple_examples/int32/C05AYJE.java @@ -0,0 +1,44 @@ +import com.nag.routines.C05.C05AY; + +/** + * C05AY example program text. + */ +public class C05AYJE { + + public static void main(String[] args) { + + C05AY c05ay = new C05AY(); + OBJFUN f = new OBJFUN(); + double a = 0.0, b = 1.0, eps = 1.0e-5, eta = 0.0, x = 0.0; + int ifail = 0; + int[] iuser = new int[1]; + double[] ruser = new double[1]; + + System.out.println("C05AYJ Example Program Results"); + System.out.println(); + + c05ay.eval(a, b, eps, eta, f, x, iuser, ruser, ifail); + x = c05ay.getX(); + + switch (ifail) { + case 0: + System.out.printf("Zero at x = %12.5f\n", x); + break; + case 2: case 3: + System.out.printf("Final point = %12.5f\n", x); + break; + default: + System.out.println("Unexpected ifail = " + ifail); + } + + } + + private static class OBJFUN extends C05AY.Abstract_C05AY_F { + + public double eval() { + return Math.exp(-X) - X; + } + + } + +} diff --git a/simple_examples/int32/C05AZJE.java b/simple_examples/int32/C05AZJE.java new file mode 100644 index 0000000..7c3e27e --- /dev/null +++ b/simple_examples/int32/C05AZJE.java @@ -0,0 +1,65 @@ +import com.nag.routines.C05.C05AZ; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * C05AZ example program text. + */ +public class C05AZJE { + + public static void main(String[] args) { + double tolx = 0.00001, x = 0.0, y = 1.0, fx; + int ir = 0, ind = 1, ifail = -1; + double[] c = new double[17]; + boolean keepOn = true; + + + C05AZ c05az = new C05AZ(); + fx = fun(x); + int ite = 0; + + System.out.println(" C05AZJ Example Program Results\n"); + System.out.println(" Iterations\n"); + + while (keepOn) { + ++ite; + + c05az.eval(x,y,fx,tolx,ir,c,ind,ifail); + + x = c05az.getX(); + y = c05az.getY(); + tolx = c05az.getTOLX(); + ir = c05az.getIR(); + ind = c05az.getIND(); + ifail = c05az.getIFAIL(); + if (ind == 0) { + keepOn = false; + } + else { + fx = fun(x); + System.out.printf(" X = %7.5f FX = %11.4E IND = %1d\n", x, fx, ind); + } + + } + + switch (ifail) { + case 0: + System.out.println("\n Solution\n"); + System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); + break; + case 4: + case 5: + System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); + break; + default: + System.out.printf("Unexpected error ifail=%d\n",ifail); + } + + } + + private static double fun(double x) { + double res = (Math.expm1(-x) + 1) - x; + return res; + } + +} diff --git a/simple_examples/int32/C05BBJE.java b/simple_examples/int32/C05BBJE.java new file mode 100644 index 0000000..4723773 --- /dev/null +++ b/simple_examples/int32/C05BBJE.java @@ -0,0 +1,89 @@ +import com.nag.routines.C05.C05BB; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C05BBJ Example program text. + * @author willa + * @since 27.1.0.0 + */ +public class C05BBJE{ + + /** + * C05BBJE main program text + */ + public static void main(String[] args){ + NAGComplex w, z; + double resid = 0; + int branch = 0, ifail = 0; //placeholder + boolean offset = false; //placeholder + + //need to initialise first + z = new NAGComplex(); + w = new NAGComplex(); + + System.out.println("C05BBJ Example Program Results"); + + if(args.length != 1){ + System.out.println("Please specify path to data file as input"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + branch = Integer.parseInt(sVal[0]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + offset = Boolean.parseBoolean(sVal[0]); + + System.out.printf("Branch = %d\n", branch); + System.out.printf("Offset = %b\n", offset); + + System.out.println(); + System.out.printf("\t\tZ\t\t\tW(Z)\t\t\t\tRESID\tIFAIL\n"); + System.out.println(); + + while(true){ + line = reader.readLine(); + if(line == null){ + break; + } + sVal = line.split("\\s+"); + + z.setRe(Double.parseDouble(sVal[0])); + z.setIm(Double.parseDouble(sVal[1])); + + ifail = -1; + C05BB c05bb = new C05BB(branch, offset, z, w, resid, ifail); + c05bb.eval(); + + z = (NAGComplex) c05bb.getZ(); + w = (NAGComplex) c05bb.getW(); + resid = c05bb.getRESID(); + ifail = c05bb.getIFAIL(); + + if(ifail < 0){ + break; + } + + System.out.printf("(%.5e, %.5e)\t (%.5e, %.5e)\t %.5e\t %d\n", z.getRe(), z.getIm(), w.getRe(), w.getIm(), resid, ifail); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} diff --git a/simple_examples/int32/C05MBJE.java b/simple_examples/int32/C05MBJE.java new file mode 100644 index 0000000..9b46ff5 --- /dev/null +++ b/simple_examples/int32/C05MBJE.java @@ -0,0 +1,95 @@ +import com.nag.routines.C05.C05MB; +import com.nag.routines.F06.DNRM2; +import com.nag.routines.X02.X02AJ; + +/** + * C05MBJ example program text. + * + * @author joed + * @since 27.0.0.0 + * + */ +public class C05MBJE { + + private static final int n = 4; + + private static class FCN extends C05MB.Abstract_C05MB_FCN { + + public void eval() { + + FVEC[0] = Math.cos(X[2]) - X[0]; + FVEC[1] = Math.sqrt(1.0 - Math.pow(X[3],2)) - X[1]; + FVEC[2] = Math.sin(X[0]) - X[2]; + FVEC[3] = Math.pow(X[1], 2) - X[3]; + + // Set iflag negative to terminate execution for any reason + IFLAG = 0; + + return; + + } + + } + + /** + * C05MBJ example main program. + */ + public static void main(String[] args) { + + C05MB c05mb = new C05MB(); + DNRM2 dnrm2 = new DNRM2(); + X02AJ x02aj = new X02AJ(); + FCN fcn = new FCN(); + long cpuser; + double atol, cndtol, fnorm, machpr, rtol; + int astart, i, ifail, m; + double[] fvec, x; + double[] ruser = new double[1]; + int[] iuser = new int[1]; + + System.out.println("C05MBJ Example Program Results\n"); + + // Get machine precision from X02AJ + machpr = (new X02AJ()).eval(); + + fvec = new double[n]; + x = new double[n]; + + // The following starting values provide a rough solution + x = new double[]{2.0, 0.5, 2.0, 0.5}; + + m = 2; + atol = Math.sqrt(machpr); + rtol = Math.sqrt(machpr); + cndtol = 0.0; + astart = 0; + cpuser = 0; + + ifail = -1; + c05mb.eval(fcn, n, x, fvec, atol, rtol, m, cndtol, astart, iuser, ruser, + cpuser, ifail); + ifail = c05mb.getIFAIL(); + + if (ifail == 0 || ifail == 8 || ifail == 9) { + if (ifail == 0) { + // The NAG name equivalent of dnrm2 is f06ej + fnorm = dnrm2.eval(n, fvec, 1); + System.out.println(); + System.out.printf("Final 2-norm of the residuals = %12.4e\n", fnorm); + System.out.println(); + System.out.println("Final approximate solution"); + } + else { + System.out.println(); + System.out.println("Approximate solution"); + } + System.out.println(); + for (i = 1; i <= n; i++) { + System.out.printf("%12.4f", x[i-1]); + } + System.out.printf("\n"); + } + + } + +} diff --git a/simple_examples/int32/C05QBJE.java b/simple_examples/int32/C05QBJE.java new file mode 100644 index 0000000..4b93405 --- /dev/null +++ b/simple_examples/int32/C05QBJE.java @@ -0,0 +1,167 @@ +import com.nag.routines.C05.C05QB; +import com.nag.routines.F06.DNRM2; +import com.nag.routines.X02.X02AJ; + +/** + * C05QB example program text. + * @author ludovic + */ +public class C05QBJE { + + public static void main(String[] args) { + + C05QB c05qb = new C05QB(); + + System.out.println(" C05QBJ Example Program Results"); + + int n = 9, ifail = -1; + + double xtol, fnorm; + + int[] IUSER = new int[1]; + double[] fvec = new double[n]; + double[] x = new double[n]; + double[] RUSER = new double[1]; + + + FCN fcn = new FCN(); + + for (int i = 0; i < n; ++i) { + x[i] = -1.0; + } + xtol = Math.sqrt((new X02AJ()).eval()); + + c05qb.eval(fcn, n, x, fvec, xtol, IUSER, RUSER, ifail); + + ifail = c05qb.getIFAIL(); + + switch (ifail) { + case (0): + fnorm = (new DNRM2(n, fvec, 1)).eval(); + System.out.println(); + System.out.printf(" Final 2-norm of the residuals = %11.4E\n", fnorm); + System.out.println(); + System.out.println(" Final approximate solution"); + int count = 0; + for (int i = 0; i < n; ++i) { + System.out.printf(" %12.4f", x[i]); + ++count; + if (count == 3) { + System.out.println(); + count = 0; + } + } + break; + case (2): + case (3): + case (4): + System.out.println("Approximate solution"); + count = 0; + for (int i = 0; i < n; ++i) { + System.out.printf(" %12.4f", x[i]); + ++count; + if (count == 3) { + System.out.println(); + count = 0; + } + } + break; + } + + } + + public static class FCN implements C05QB.C05QB_FCN { + + private int N, IFLAG; + private double[] X, FVEC, RUSER; + private int[] IUSER; + + @Override + public void setN(int N) { + this.N = N; + } + + @Override + public int getN() { + return N; + } + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setFVEC(double[] FVEC) { + this.FVEC = FVEC; + } + + @Override + public double[] getFVEC() { + return FVEC; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void eval(int N, double[] X, double[] FVEC, int[] IUSER, double[] RUSER, int IFLAG) { + + /* + * fvec(1:n) = (3.0_nag_wp-2.0_nag_wp*x(1:n))*x(1:n) + 1.0_nag_wp + * fvec(2:n) = fvec(2:n) - x(1:(n-1)) + * fvec(1:(n-1)) = fvec(1:(n-1)) - 2.0_nag_wp*x(2:n) + */ + for (int i = 0; i < N; ++i) { + FVEC[i] = (3.0 - 2.0 * X[i]) * X[i] + 1.0; + /*if (i >= 1) { + FVEC[i] = FVEC[i] - X[i - 1]; + } + if (i < N - 1) { + FVEC[i] = FVEC[i] - 2.0 * X[i + 1]; + }*/ + } + for (int i = 1; i < N; ++i) { + FVEC[i] = FVEC[i] - X[i - 1]; + } + for (int i = 0; i < N-1; ++i) { + FVEC[i] = FVEC[i] - 2.0 * X[i + 1]; + } + + } + + } + +} diff --git a/simple_examples/int32/C06BAJE.java b/simple_examples/int32/C06BAJE.java new file mode 100644 index 0000000..541d4d3 --- /dev/null +++ b/simple_examples/int32/C06BAJE.java @@ -0,0 +1,56 @@ +import com.nag.routines.C06.C06BA; +import com.nag.routines.X01.X01AA; + +/** + * C06BAJ example program text. + * @author willa + */ +public class C06BAJE{ + + public static void main(String[] args){ + int lwork = 16, nout = 6; + int ifail, ncall; + double abserr = 0.0, ans, error, pi = 0.0, r, result = 0.0, seqn, sig; + double[] work; + + C06BA c06ba = new C06BA(); + work = new double[lwork]; + + System.out.println("C06BAJ Example Program Results"); + System.out.println(); + + X01AA x01aa = new X01AA(pi); + pi = x01aa.eval(); + + ans = Math.pow(pi, 2)/12.0; + ncall = 0; + sig = 1.0; + seqn = 0.0; + System.out.println("\t\t\t Estimated\t Actual"); + System.out.println("I\t SEQN \t RESULT\t abs error\t error"); + System.out.println(); + + for(int i = 0; i < 10; i++){ + r = (double) i + 1; + seqn = seqn + sig/Math.pow(r, 2); + + ifail = 0; + c06ba.eval(seqn, ncall, result, abserr, work, lwork, ifail); + + //update variables + ncall = c06ba.getNCALL(); + result = c06ba.getRESULT(); + abserr = c06ba.getABSERR(); + + error = result - ans; + sig = -sig; + + if(i <= 2){ + System.out.printf("%d\t %.4f\t %.4f\t -\t\t %.2e\n", (i + 1), seqn, result, error); + } + else{ + System.out.printf("%d\t %.4f\t %.4f\t %.2e\t %.2e\n", (i + 1), seqn, result, abserr, error); + } + } + } +} diff --git a/simple_examples/int32/C06FKJE.java b/simple_examples/int32/C06FKJE.java new file mode 100644 index 0000000..58db62f --- /dev/null +++ b/simple_examples/int32/C06FKJE.java @@ -0,0 +1,91 @@ +import com.nag.routines.C06.C06FK; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C06FKJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class C06FKJE{ + + /** + * C06FKJE main program + */ + public static void main(String[] args){ + int ifail = 0, n = 0; //placeholder + double[] work, xa, xb, ya, yb; + + work = new double[0]; + xa = new double[0]; + xb = new double[0]; + ya = new double[0]; + yb = new double[0]; //placeholders + + System.out.println("C06FKJ Example Program Results"); + System.out.println(); + + //Supply file path as argument + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //Loop until break... + while(true){ + line = reader.readLine(); + //Break when the end of the file is reached + if(line == null){ + break; + } + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[0]); + + work = new double[n]; + xa = new double[n]; + xb = new double[n]; + ya = new double[n]; + yb = new double[n]; + + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + xa[i] = Double.parseDouble(sVal[0]); + xb[i] = xa[i]; + ya[i] = Double.parseDouble(sVal[1]); + yb[i] = ya[i]; + } + + ifail = 0; + + C06FK c06fk1 = new C06FK(1, xa, ya, n, work, ifail); + c06fk1.eval(); + xa = c06fk1.getX(); + C06FK c06fk2 = new C06FK(2, xb, yb, n, work, ifail); + c06fk2.eval(); + xb = c06fk2.getX(); + + System.out.printf("\tCovolution \tCorrelation\n"); + System.out.println(); + + for(int i = 0; i < n; i++){ + System.out.printf("%d\t%.5f\t\t%.5f\n", i, xa[i], xb[i]); + } + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} diff --git a/simple_examples/int32/C09AAJE.java b/simple_examples/int32/C09AAJE.java new file mode 100644 index 0000000..48c38b6 --- /dev/null +++ b/simple_examples/int32/C09AAJE.java @@ -0,0 +1,158 @@ +import com.nag.routines.C09.C09AA; +import com.nag.routines.C09.C09CC; +import com.nag.routines.C09.C09CD; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C09AAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class C09AAJE{ + + /** + * C09AAJ example main program + */ + public static void main(String[] args){ + int ifail, lenc = 0, n = 0, nf = 0, nnz, nwc = 0, nwlmax = 0, ny; //placeholders + String mode = "", wavnam = "", wtrans; //placeholders + int[] dwtlev, icomm; + double[] c, x, y; + + x = new double[0]; y = new double[0]; //placeholders + + //print error message if no data file given + if(args.length != 1){ + C09AAJE.usage(); + } + + icomm = new int[100]; + + System.out.println("C09AAJ Example Program Results"); + System.out.println(); + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[1]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + wavnam = sVal[1]; + mode = sVal[2]; + + x = new double[n]; + y = new double[n]; + + System.out.printf("Parameters read from file :: \n \tWavelet : %s \tEnd mode : %s \t N = %d\n", wavnam, mode, n); + + System.out.println("Input data \tX : "); + for(int i = 0; i < n; i++){ + line = reader.readLine(); + //Avoid errors with data file format and negative numbers + line = " " + line; + sVal = line.split("\\s+"); + x[i] = Double.parseDouble(sVal[1]); + System.out.printf("%.3f\t", x[i]); + } + System.out.printf("\n"); + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + //Query wavelet filter dimensions + //For Multi-Resolution analysis ,decomposition, wrtrans = 'M' + wtrans = "Multilevel"; + + //ifail: behaviour on error exit + // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft + ifail = 0; + C09AA c09aa = new C09AA(wavnam, wtrans, mode, n, nwlmax, nf, nwc, icomm, ifail); + c09aa.eval(); + + nwc = c09aa.getNWC(); + nwlmax = c09aa.getNWLMAX(); + lenc = nwc; + c = new double[lenc]; + dwtlev = new int[nwlmax + 1]; + + icomm = c09aa.getICOMM(); + ifail = 0; + //Perform discrete wavelet transform + C09CC c09cc = new C09CC(n, x, lenc, c, nwlmax, dwtlev, icomm, ifail); + c09cc.eval(); + + nf = c09aa.getNF(); + nwlmax = c09cc.getNWL(); + dwtlev = c09cc.getDWTLEV(); + c = c09cc.getC(); + + System.out.println(); + System.out.printf("Length of wavelet filter : \t%d\n", nf); + System.out.printf("Number of Levels : \t%d\n", nwlmax); + System.out.printf("Number of coefficients in each level: \n\t\t"); + for(int i = 0; i <= nwlmax; i++){ + System.out.printf("%d\t ", dwtlev[i]); + } + System.out.printf("\n"); + System.out.printf("Total number of wavelength coefficients : %d\n", nwc); + nnz = arraySum(dwtlev); + System.out.println(); + System.out.println("Wavelet coefficients C:"); + for(int i = 0; i < nnz; i++){ + System.out.printf("%.3f ", c[i]); + } + System.out.printf("\n"); + + //Reconstruct original data + ny = n; + + ifail = 0; + lenc = c09cc.getLENC(); + icomm = c09cc.getICOMM(); + C09CD c09cd = new C09CD(nwlmax, lenc, c, ny, y, icomm, ifail); + c09cd.eval(); + + y = c09cd.getY(); + System.out.println(); + System.out.printf("Reconstruction \tY : \n"); + for(int i = 0; i < ny; i++){ + System.out.printf("%.3f ", y[i]); + } + System.out.printf("\n"); + } + + /** + * Finds the sum of all integers in an array + * @param a + * Array to sum + * @return total + */ + private static int arraySum(int[] a){ + int tot = 0; + for(int i = 0; i < a.length; i++){ + tot += a[i]; + } + return tot; + } + + /** + * No arguments supplied when exmaple runs + */ + private static void usage(){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} diff --git a/simple_examples/int32/D01BDJE.java b/simple_examples/int32/D01BDJE.java new file mode 100644 index 0000000..8659cc4 --- /dev/null +++ b/simple_examples/int32/D01BDJE.java @@ -0,0 +1,58 @@ +import com.nag.routines.D01.D01BD; + +/** + * D01BD example program text. + */ +public class D01BDJE { + + public static void main(String[] args) { + + double a = 0.0, b = 1.0; + double epsabs = 0.0, epsrel = 0.0001; + double result = Double.NaN; + double abserr = Double.NaN; + FUN fun = new FUN(); + D01BD d01bd = new D01BD(fun, a, b, epsabs, epsrel, result, abserr); + + d01bd.eval(); + result = d01bd.getRESULT(); + abserr = d01bd.getABSERR(); + + System.out.println(" D01BDJ Example Program Results"); + + System.out.println(); + System.out.printf(" A - lower limit of integration = %10.4f\n",a); + System.out.printf(" B - upper limit of integration = %10.4f\n",b); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.println(); + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.println(); + + if (abserr > Math.max(epsabs,epsrel*Math.abs(result))) { + System.out.println("Warning - requested accuracy may not have been achieved"); + } + + } + + + public static class FUN implements D01BD.D01BD_F { + + private double x; + + public double eval(double x) { + return (x * x * Math.sin(10.0 * Math.PI * x)); + } + + public double getX() { + return x; + } + + public void setX(double d) { + x = d; + } + + } + +} diff --git a/simple_examples/int32/D01RJJE.java b/simple_examples/int32/D01RJJE.java new file mode 100644 index 0000000..9eee98a --- /dev/null +++ b/simple_examples/int32/D01RJJE.java @@ -0,0 +1,184 @@ +import com.nag.routines.D01.D01RJ; +import com.nag.routines.X01.X01AA; +import java.util.Arrays; + +/** + * D01RJ example program text. + * @author Mo + */ +public class D01RJJE { + + public static void main(String[] args) { + + double pi = 0.0; + double a, b, epsabs, epsrel; + double result = Double.NaN; + double abserr = Double.NaN; + double[] rinfo, ruser; + int [] iinfo, iuser; + int ifail, liinfo, lrinfo, maxsub; + long cpuser; // c_ptr + F f = new F(); + + /* Header */ + System.out.println(" D01RJJ Example Program Results"); + + X01AA x01aa = new X01AA(pi); + pi = x01aa.eval(); + a = 0.0; + b = 2.0*pi; + epsabs = 0.0; + epsrel = 0.0001; + maxsub = 20; + lrinfo = 4*maxsub; + liinfo = Math.max(maxsub,4); + + rinfo = new double[lrinfo]; + iinfo = new int[liinfo]; + iuser = new int[0]; + ruser = new double[0]; + + iuser = new int[] {0}; + /* pass constant to f through ruser */ + ruser = new double[] {4.0*Math.pow(pi,2)}; + cpuser = 0L; + + D01RJ d01rj = new D01RJ(); + ifail = -1; + d01rj.eval(f, a, b, epsabs, epsrel, maxsub, result, abserr, + rinfo, iinfo, iuser, ruser, cpuser, ifail); + result = d01rj.getRESULT(); + abserr = d01rj.getABSERR(); + ifail = d01rj.getIFAIL(); + + if (ifail >= 0) { + System.out.println(); + System.out.printf(" A - lower limit of integration = %9.4f\n",a); + System.out.printf(" B - upper limit of integration = %9.4f\n",b); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); + System.out.println(); + if (ifail <= 5) { + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); + System.out.println(); + } + else if (ifail == -1) { + /* User requested exit */ + System.out.printf(" Exit requested from F with IFLAG %4d\n",iuser[0]); + System.out.println(); + } + + } + + } + + public static class F implements D01RJ.D01RJ_F { + + private int NX, IFLAG; + private double[] X, FV, RUSER; + private int[] IUSER; + private long CPUSER; + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setNX(int NX) { + this.NX = NX; + } + + @Override + public int getNX() { + return NX; + } + + @Override + public void setFV(double[] FV) { + this.FV = FV; + } + + @Override + public double[] getFV() { + return FV; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setCPUSER(long CPUSER) { + this.CPUSER = CPUSER; + } + + @Override + public long getCPUSER() { + return CPUSER; + } + + @Override + public void eval(double[] X, int NX, double[] FV, int IFLAG, + int[] IUSER, double[] RUSER, long CPUSER) { + + for (int i = 0; i < NX; i++) { + FV[i] = 0.0; + } + + for (int i = 0; i < NX; i++) { + if (X[i] == 1.0) { + /* An undefined result will be generated. */ + /* Set iflag to force an immediate exit */ + IFLAG = -1; + /* Store chosen value of iflag in iuser */ + IUSER[0] = IFLAG; + } + } + if (IFLAG != -1) { + for (int j = 0; j < NX; j++) { + FV[j] = X[j] * Math.sin(30.0 * X[j])/ + Math.sqrt(1.0 - Math.pow(X[j],2)/RUSER[0]); + } + } + return; + + } + + } + +} diff --git a/simple_examples/int32/D01RKJE.java b/simple_examples/int32/D01RKJE.java new file mode 100644 index 0000000..20c0501 --- /dev/null +++ b/simple_examples/int32/D01RKJE.java @@ -0,0 +1,173 @@ +import com.nag.routines.D01.D01RK; +import com.nag.routines.X01.X01AA; +import java.util.Arrays; + +/** + * D01RK example program text. + * @author Mo + */ +public class D01RKJE { + + public static void main(String[] args) { + + double pi = 0.0; + double a, b, epsabs, epsrel; + double result = Double.NaN; + double abserr = Double.NaN; + double[] rinfo, ruser; + int [] iinfo, iuser; + int ifail, key, liinfo, lrinfo, maxsub; + long cpuser; // c_ptr + F f = new F(); + + /* Header */ + System.out.println(" D01RKJ Example Program Results"); + + key = 6; + X01AA x01aa = new X01AA(pi); + pi = x01aa.eval(); + a = 0.0; + b = 2.0*pi; + epsabs = 0.0; + epsrel = 0.0001; + maxsub = 20; + lrinfo = 4*maxsub; + liinfo = Math.max(maxsub,4); + + rinfo = new double[lrinfo]; + iinfo = new int[liinfo]; + iuser = new int[0]; + ruser = new double[0]; + + iuser = new int[] {0}; + ruser = new double[] {4.0*Math.pow(pi,2)}; + cpuser = 0L; + + D01RK d01rk = new D01RK(); + ifail = -1; + d01rk.eval(f, a, b, key, epsabs, epsrel, maxsub, result, abserr, + rinfo, iinfo, iuser, ruser, cpuser, ifail); + result = d01rk.getRESULT(); + abserr = d01rk.getABSERR(); + ifail = d01rk.getIFAIL(); + + if (ifail >= 0) { + System.out.println(); + System.out.printf(" A - lower limit of integration = %9.4f\n",a); + System.out.printf(" B - upper limit of integration = %9.4f\n",b); + System.out.printf(" KEY - choice of Gaussian rule = %4d\n",key); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); + System.out.println(); + if (ifail <= 5) { + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); + System.out.println(); + } + else if (ifail == -1) { + /* User requested exit */ + System.out.printf(" Exit requested from F \n"); + System.out.println(); + } + + } + + } + + public static class F implements D01RK.D01RK_F { + + private int NX, IFLAG; + private double[] X, FV, RUSER; + private int[] IUSER; + private long CPUSER; + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setNX(int NX) { + this.NX = NX; + } + + @Override + public int getNX() { + return NX; + } + + @Override + public void setFV(double[] FV) { + this.FV = FV; + } + + @Override + public double[] getFV() { + return FV; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setCPUSER(long CPUSER) { + this.CPUSER = CPUSER; + } + + @Override + public long getCPUSER() { + return CPUSER; + } + + @Override + public void eval(double[] X, int NX, double[] FV, int IFLAG, + int[] IUSER, double[] RUSER, long CPUSER) { + + for (int i = 0; i < NX; i++) { + FV[i] = 0.0; + } + + for (int j = 0; j < NX; j++) { + FV[j] = X[j] * Math.sin(30.0 * X[j]) * Math.cos(X[j]); + } + return; + + } + + } + +} diff --git a/simple_examples/int32/D01RLJE.java b/simple_examples/int32/D01RLJE.java new file mode 100644 index 0000000..c8a6d0e --- /dev/null +++ b/simple_examples/int32/D01RLJE.java @@ -0,0 +1,196 @@ +import com.nag.routines.D01.D01RL; +import java.util.Arrays; + +/** + * D01RL example program text. + * @author Mo + */ +public class D01RLJE { + + public static void main(String[] args) { + + double a, b, epsabs, epsrel; + double result = Double.NaN; + double abserr = Double.NaN; + double[] points, rinfo, ruser; + int [] iinfo, iuser; + int ifail, liinfo, lrinfo, maxsub, npts; + long cpuser; // c_ptr + F f = new F(); + + /* Header */ + System.out.println(" D01RLJ Example Program Results"); + + epsabs = 0.0; + epsrel = 0.0001; + a = 0.0; + b = 1.0; + npts = 1; + maxsub = 20; + liinfo = 2*Math.max(maxsub,npts) + npts + 4; + lrinfo = 4*Math.max(maxsub,npts) + npts + 6; + + points = new double[npts]; + rinfo = new double[lrinfo]; + iinfo = new int[liinfo]; + iuser = new int[0]; + ruser = new double[21]; + + points[0] = 1.0/7.0; + iuser = new int[] {0}; + ruser = new double[] {0.0}; + cpuser = 0L; + + D01RL d01rl = new D01RL(); + ifail = -1; + d01rl.eval(f, a, b, npts, points, epsabs, epsrel, maxsub, result, abserr, + rinfo, iinfo, iuser, ruser, cpuser, ifail); + points = d01rl.getPOINTS(); + result = d01rl.getRESULT(); + abserr = d01rl.getABSERR(); + ifail = d01rl.getIFAIL(); + + if (ifail >= 0) { + System.out.println(); + System.out.printf(" A - lower limit of integration = %9.4f\n",a); + System.out.printf(" B - upper limit of integration = %9.4f\n",b); + System.out.printf(" POINT(1) - given break-point = %9.4f\n",points[0]); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); + System.out.println(); + if (ifail <= 5) { + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); + System.out.println(); + } + else if (ifail == -1) { + /* User requested exit */ + System.out.printf(" Exit requested from F"); + System.out.println(); + } + + } + + } + + public static class F implements D01RL.D01RL_F { + + private int NX, IFLAG; + private double[] X, FV, RUSER; + private int[] IUSER; + private long CPUSER; + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setNX(int NX) { + this.NX = NX; + } + + @Override + public int getNX() { + return NX; + } + + @Override + public void setFV(double[] FV) { + this.FV = FV; + } + + @Override + public double[] getFV() { + return FV; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setCPUSER(long CPUSER) { + this.CPUSER = CPUSER; + } + + @Override + public long getCPUSER() { + return CPUSER; + } + + @Override + public void eval(double[] X, int NX, double[] FV, int IFLAG, + int[] IUSER, double[] RUSER, long CPUSER) { + + /*for (int i = 0; i < NX; i++) {*/ + /*FV[i] = 0.0;*/ + /*}*/ + + for (int i = 0; i < NX; i++) { + FV[i] = Math.abs(X[i] - 1.0/7.0); + } + + for (int i = 0; i < NX; i++) { + if (FV[i] == 0.0) { + /* A singular point will be hit. */ + /* Record offending abscissae and abort computation. */ + IFLAG = 0; + for (int k = 0; k < NX; k++) { + if (FV[k] == 0.0) { + IFLAG = IFLAG + 1; + RUSER[IFLAG-1] = X[k]; + } + } + /* Store value of iflag in iuser */ + IUSER[0] = IFLAG; + /* signal abort by setting iflag<0 */ + IFLAG = -IFLAG; + } + } + if (IFLAG == 0) { + /* Safe to evaluate. */ + for (int j = 0; j < NX; j++) { + FV[j] = 1.0/Math.sqrt(FV[j]); + } + } + return; + + } + + } + +} diff --git a/simple_examples/int32/D01RMJE.java b/simple_examples/int32/D01RMJE.java new file mode 100644 index 0000000..6e80b2b --- /dev/null +++ b/simple_examples/int32/D01RMJE.java @@ -0,0 +1,163 @@ +import com.nag.routines.D01.D01RM; +import java.util.Arrays; + +/** + * D01RM example program text. + * @author Mo + */ +public class D01RMJE { + + public static void main(String[] args) { + + double bound, epsabs, epsrel; + double result = Double.NaN; + double abserr = Double.NaN; + double[] rinfo, ruser; + int [] iinfo, iuser; + int ifail, inf, liinfo, lrinfo, maxsub; + long cpuser; // c_ptr + F f = new F(); + + /* Header */ + System.out.println(" D01RMJ Example Program Results"); + + bound = 0.0; + inf = 1; + epsabs = 0.0; + epsrel = 0.0001; + maxsub = 20; + lrinfo = 4*maxsub; + liinfo = Math.max(maxsub,4); + + rinfo = new double[lrinfo]; + iinfo = new int[liinfo]; + iuser = new int[0]; + ruser = new double[0]; + + iuser = new int[] {0}; + ruser = new double[] {0.0}; + cpuser = 0L; + + D01RM d01rm = new D01RM(); + ifail = -1; + d01rm.eval(f, bound, inf, epsabs, epsrel, maxsub, result, abserr, + rinfo, iinfo, iuser, ruser, cpuser, ifail); + result = d01rm.getRESULT(); + abserr = d01rm.getABSERR(); + ifail = d01rm.getIFAIL(); + + if (ifail >= 0) { + System.out.println(); + System.out.printf(" A - lower limit of integration = %9.4f\n",bound); + System.out.println(" B - upper limit of integration = infinity\n"); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); + System.out.println(); + if (ifail <= 5) { + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); + System.out.println(); + } + else if (ifail == -1) { + /* User requested exit */ + System.out.printf(" Exit requested from F \n"); + System.out.println(); + } + + } + + } + + public static class F implements D01RM.D01RM_F { + + private int NX, IFLAG; + private double[] X, FV, RUSER; + private int[] IUSER; + private long CPUSER; + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setNX(int NX) { + this.NX = NX; + } + + @Override + public int getNX() { + return NX; + } + + @Override + public void setFV(double[] FV) { + this.FV = FV; + } + + @Override + public double[] getFV() { + return FV; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setCPUSER(long CPUSER) { + this.CPUSER = CPUSER; + } + + @Override + public long getCPUSER() { + return CPUSER; + } + + @Override + public void eval(double[] X, int NX, double[] FV, int IFLAG, + int[] IUSER, double[] RUSER, long CPUSER) { + + for (int j = 0; j < NX; j++) { + FV[j] = 1.0/((X[j] + 1.0) * Math.sqrt(X[j])); + } + return; + + } + + } + +} diff --git a/simple_examples/int32/D01TCJE.java b/simple_examples/int32/D01TCJE.java new file mode 100644 index 0000000..cde8428 --- /dev/null +++ b/simple_examples/int32/D01TCJE.java @@ -0,0 +1,45 @@ +import com.nag.routines.D01.D01TC; +import java.util.Arrays; + +/** + * D01TC example program text. + * @author Mo + */ +public class D01TCJE { + + public static void main(String[] args) { + + double a, b, c, d; + double[] abscis, weight; + int n, ifail, itype; + + /* Header */ + System.out.println(" D01TCJ Example Program Results"); + + n = 7; + a = 0.0; + b = 1.0; + c = 0.0; + d = 0.0; + itype = -3; + + abscis = new double[n]; + weight = new double[n]; + + D01TC d01tc = new D01TC(); + ifail = 0; + d01tc.eval(itype, a, b, c, d, n, weight, abscis, ifail); + abscis= d01tc.getABSCIS(); + weight = d01tc.getWEIGHT(); + + System.out.println(); + System.out.printf(" Laguerre formula, %2d points\n",n); + System.out.println(); + System.out.println(" Abscissae Weights\n"); + for (int j = 0; j < n; j++) { + System.out.printf("%15.5E %15.5E\n", abscis[j], weight[j]); + } + + } + +} diff --git a/simple_examples/int32/D02NEJE.java b/simple_examples/int32/D02NEJE.java new file mode 100644 index 0000000..34a5b25 --- /dev/null +++ b/simple_examples/int32/D02NEJE.java @@ -0,0 +1,388 @@ +import com.nag.routines.D02.D02MC; +import com.nag.routines.D02.D02MW; +import com.nag.routines.D02.D02NE; +import com.nag.routines.D02.D02NEZ; +import com.nag.routines.D02.D02NP; +import java.util.Arrays; + +/** + * D02NE example program text. + * @author joed + */ +public class D02NEJE { + + public static final double ALPHA = 0.04; + public static final double BETA = 1.0E4; + public static final double GAMMA = 3.0E7; + public static final int ML = 1; + public static final int MU = 2; + public static final int NEQ1 = 3; + public static final int NEQ2 = 1; + + public static JAC1 jac1 = new JAC1(); + public static JAC2 jac2 = new JAC2(); + public static RES1 res1 = new RES1(); + public static RES2 res2 = new RES2(); + + public static void main(String[] args) { + + System.out.println(" D02NEJ Example Program Results"); + + ex1(); + ex2(); + + } + + private static void ex1() { + + D02MC d02mc = new D02MC(); + D02MW d02mw = new D02MW(); + D02NE d02ne = new D02NE(); + D02NP d02np = new D02NP(); + double h0, hmax, t, tout; + int ifail, ijac, itask, itol, lcom, licom, maxord, neq; + String jceval; // length 8 + double[] atol, com, rtol, y, ydot, ruser; + int[] icom, iuser; + + ruser = new double[1]; + iuser = new int[3]; + + System.out.println(); + System.out.println(" D02NEF Example 1"); + System.out.println(); + + maxord = 5; + + neq = NEQ1; + lcom = 40 + (maxord + 4) * neq + (2 * ML + MU + 1) * neq + + 2 * (neq / (ML + MU + 1) + 1); + licom = 50 + neq; + + atol = new double[neq]; + com = new double[lcom]; + rtol = new double[neq]; + y = new double[neq]; + ydot = new double[neq]; + icom = new int[licom]; + + ijac = 1; + itol = 1; + Arrays.fill(rtol, 1.0E-3); + Arrays.fill(atol, 1.0E-6); + Arrays.fill(ydot, 0.0); + + // String length = 8 + jceval = (ijac == 1) ? "Analytic" : "Numeric "; + + // Set initial values + y[0] = 1.0; + y[1] = 0.0; + y[2] = 0.0; + + // Initialize the problem, specifying that the Jacobian is to be + // evaluated analytically using the provided routine jac. + hmax = 0.0; + h0 = 0.0; + t = 0.0; + tout = 0.02; + ifail = 0; + d02mw.eval( + neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail + ); + ifail = d02mw.getIFAIL(); + + // Specify that the Jacobian is banded. + ifail = 0; + d02np.eval(neq, ML, MU, icom, licom, ifail); + ifail = d02np.getIFAIL(); + + // Use the iuser array to pass the band dimensions through to jac. + // An alternative would be to hard code values for ml and mu in jac. + iuser[0] = ML; + iuser[1] = MU; + iuser[2] = ijac; + + System.out.printf(" t "); + for (int i = 1; i <= neq; i++) { + System.out.printf(" Y(%1d) ", i); + } + System.out.println(); + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + itask = 0; + + // Obtain the solution at 5 equally spaced values of T. + for (int j = 0; j < 5; j++) { + ifail = -1; + d02ne.eval( + neq, t, tout, y, ydot, rtol, atol, itask, res1, jac1, icom, + com, lcom, iuser, ruser, ifail + ); + itask = d02ne.getITASK(); + ifail = d02ne.getIFAIL(); + t = d02ne.getT(); + + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + if (ifail != 0) { + System.out.printf( + " ** D02NEF returned with IFAIL = %5d\n", ifail + ); + break; + } + + tout += 0.02; + d02mc.eval(icom); + + } + + System.out.println(); + System.out.printf( + " The integrator completed task, ITASK = %4d\n", itask + ); + + } + + private static void ex2() { + D02MC d02mc = new D02MC(); + D02MW d02mw = new D02MW(); + D02NE d02ne = new D02NE(); + double h0, hmax, t, tout; + int ifail, ijac, itask, itol, lcom, licom, maxord, neq; + String jceval; // length 8 + double[] atol, com, rtol, y, ydot, ruser; + int[] icom, iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println(); + System.out.println(" D02NEF Example 2"); + System.out.println(); + + maxord = 5; + neq = NEQ2; + lcom = 40 + (maxord + 4) * neq + neq * neq; + licom = 50 + neq; + + atol = new double[neq]; + com = new double[lcom]; + rtol = new double[neq]; + y = new double[neq]; + ydot = new double[neq]; + icom = new int[licom]; + + ijac = 1; + itol = 1; + rtol[0] = 0.0; + atol[0] = 1.0E-8; + ydot[0] = 0.0; + + // String length = 8 + jceval = (ijac == 1) ? "Analytic" : "Numeric "; + + // Initialize the problem, specifying that the Jacobian is to be + // evaluated analytically using the provided routine jac. + y[0] = 2.0; + hmax = 0.0; + h0 = 0.0; + t = 0.0; + tout = 0.2; + + ifail = 0; + d02mw.eval( + neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail + ); + ifail = d02mw.getIFAIL(); + + // Use the iuser array to pass whether numerical or analytic Jacobian + // is to be used. + iuser[0] = ijac; + + System.out.printf(" t "); + for (int i = 1; i <= neq; i++) { + System.out.printf(" y(%1d) ", i); + } + System.out.println(); + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + itask = 0; + + for (int j = 0; j < 5; j++) { + ifail = -1; + d02ne.eval( + neq, t, tout, y, ydot, rtol, atol, itask, res2, jac2, icom, + com, lcom, iuser, ruser, ifail + ); + itask = d02ne.getITASK(); + ifail = d02ne.getIFAIL(); + t = d02ne.getT(); + + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + if (ifail != 0) { + System.out.printf( + " ** D02NEF returned with IFAIL = %5d\n", ifail + ); + break; + } + + tout += 0.2; + d02mc.eval(icom); + + } + + System.out.println(); + System.out.printf( + " The integrator completed task, ITASK = %4d\n", itask + ); + + } + + /** + * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based + * Java index. + * + *

    Fortran array definition: + * a(dimX, *) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + + public static class RES1 extends D02NE.Abstract_D02NE_RES { + + public void eval() { + + this.R[0] = -(ALPHA * this.Y[0]) + (BETA * this.Y[1] * this.Y[2]) + - this.YDOT[0]; + this.R[1] = (ALPHA * this.Y[0]) - (BETA * this.Y[1] * this.Y[2]) + - (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[1]; + this.R[2] = (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[2]; + + } + + } + + public static class JAC1 extends D02NE.Abstract_D02NE_JAC { + + private double[] myjac1( + int neq, int ml, int mu, double t, double[] y, double[] ydot, + double[] pd, double cj + ) { + + int md, ms, pdDim1; + + pdDim1 = (2 * ml) + mu + 1; + + // Main diagonal pdfull(i,i), i=1, neq + md = mu + ml + 1; + pd[getIdx(md, 1, pdDim1)] = -ALPHA - cj; + pd[getIdx(md, 2, pdDim1)] = (-BETA * y[2]) - (2.0 * GAMMA * y[1]) + - cj; + pd[getIdx(md, 3, pdDim1)] = -cj; + + // 1 subdiagonal pdfull(i-1,i), i=2, neq + ms = md + 1; + pd[getIdx(ms, 1, pdDim1)] = ALPHA; + pd[getIdx(ms, 2, pdDim1)] = 2.0 * GAMMA * y[1]; + + // First superdiagonal pdfull(i-1,i), i=2, neq + ms = md - 1; + pd[getIdx(ms, 2, pdDim1)] = BETA * y[2]; + pd[getIdx(ms, 3, pdDim1)] = -BETA * y[1]; + + // Second superdiagonal pdfull(i-2,i), i=3, neq + ms = md - 2; + pd[getIdx(ms, 3, pdDim1)] = BETA * y[1]; + + return pd; + + } + + public void eval() { + D02NEZ d02nez = new D02NEZ(); + int ijac, ml, mu; + + ml = this.IUSER[0]; + mu = this.IUSER[1]; + ijac = this.IUSER[2]; + + if (ijac == 1) { + myjac1( + this.NEQ, ml, mu, this.T, this.Y, this.YDOT, this.PD, + this.CJ + ); + } + else { + d02nez.eval( + this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, + this.IUSER, this.RUSER + ); + } + + } + + } + + public static class RES2 extends D02NE.Abstract_D02NE_RES { + + public void eval() { + this.R[0] = 4.0 - Math.pow(this.Y[0], 2.0) + + (this.T * 0.1E0 * Math.exp(this.Y[0])); + } + + } + + public static class JAC2 extends D02NE.Abstract_D02NE_JAC { + + private void myjac2( + int neq, double t, double[] y, double[] ydot, double[] pd, + double cj + ) { + + pd[0] = -(2.0 * y[0]) + (0.1E0 * t * y[0] * Math.exp(y[0])); + + } + + public void eval() { + D02NEZ d02nez = new D02NEZ(); + int ijac; + + ijac = this.IUSER[0]; + + if (ijac == 1) { + myjac2(this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ); + } + else { + d02nez.eval( + this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, + this.IUSER, this.RUSER + ); + } + + } + + } + +} diff --git a/simple_examples/int32/D02TLJE.java b/simple_examples/int32/D02TLJE.java new file mode 100644 index 0000000..601b3ce --- /dev/null +++ b/simple_examples/int32/D02TLJE.java @@ -0,0 +1,290 @@ +import com.nag.routines.D02.D02TL; +import com.nag.routines.D02.D02TV; +import com.nag.routines.D02.D02TX; +import com.nag.routines.D02.D02TY; +import com.nag.routines.D02.D02TZ; +import java.util.Arrays; + +/** + * D02TL example program text. + * @author joed + */ +public class D02TLJE { + + public static final int MMAX = 3, NEQ = 3, NLBC = 3, NRBC = 3; + + public static double omega, sqrofr; + public static int[] m = {1, 3, 2}; + + public static FFUN ffun = new FFUN(); + public static FJAC fjac = new FJAC(); + public static GAFUN gafun = new GAFUN(); + public static GAJAC gajac = new GAJAC(); + public static GBFUN gbfun = new GBFUN(); + public static GBJAC gbjac = new GBJAC(); + public static GUESS guess = new GUESS(); + + public static void main(String[] args) { + + D02TL d02tl = new D02TL(); + D02TV d02tv = new D02TV(); + D02TX d02tx = new D02TX(); + D02TY d02ty = new D02TY(); + D02TZ d02tz = new D02TZ(); + double dx, ermx, r; + int iermx, ifail, ijermx, licomm, lrcomm, mxmesh, ncol, ncont, + nmesh; + double[] mesh, rcomm, tol, y, ruser = new double[1]; + int[] icomm, ipmesh, iuser = new int[2]; + + System.out.println(" D02TLJ Example Program Results"); + System.out.println(); + + ncol = 7; + nmesh = 11; + mxmesh = 51; + + mesh = new double[mxmesh]; + tol = new double[NEQ]; + y = new double[NEQ * MMAX]; + ipmesh = new int[mxmesh]; + + omega = 1.0; + Arrays.fill(tol, 1.0E-4); + + dx = 1.0 / ((double) nmesh - 1); + + mesh[0] = 0.0; + for (int i = 1; i < nmesh - 1; i++) { + mesh[i] = mesh[i - 1] + dx; + } + mesh[nmesh - 1] = 1.0; + + ipmesh[0] = 1; + Arrays.fill(ipmesh, 1, nmesh - 1, 2); + ipmesh[nmesh - 1] = 1; + + // Workspace query to get size of rcomm and icomm + ifail = 0; + d02tv.eval( + NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, ruser, + 0, iuser, 2, ifail + ); + ifail = d02tv.getIFAIL(); + lrcomm = iuser[0]; + licomm = iuser[1]; + rcomm = new double[lrcomm]; + icomm = new int[licomm]; + + // Initialise integrator for given problem + ifail = 0; + d02tv.eval( + NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, rcomm, + lrcomm, icomm, licomm, ifail + ); + ifail = d02tv.getIFAIL(); + + ncont = 3; + r = 1.0E6; + + sqrofr = Math.sqrt(r); + + ermx = 0.0; + iermx = 0; + ijermx = 0; + + for (int j = 0; j < ncont; j++) { + System.out.printf("\n Tolerance = %8.1E R = %10.3E\n", tol[0], r); + + // Solve problem + ifail = -1; + d02tl.eval( + ffun, fjac, gafun, gbfun, gajac, gbjac, guess, rcomm, icomm, + iuser, ruser, ifail + ); + ifail = d02tl.getIFAIL(); + if (ifail != 0) { + System.err.println("D02TL failed with error code " + ifail); + } + + // Extract mesh + ifail = -1; + d02tz.eval( + mxmesh, nmesh, mesh, ipmesh, ermx, iermx, ijermx, rcomm, icomm, + ifail + ); + nmesh = d02tz.getNMESH(); + iermx = d02tz.getIERMX(); + ijermx = d02tz.getIJERMX(); + ermx = d02tz.getERMX(); + ifail = d02tz.getIFAIL(); + if (ifail == 1) { + break; + } + + // Print mesh, error stats + System.out.printf( + "\n" + + " Used a mesh of %4d points\n" + + " Maximum error = %10.2E in interval %4d for component %4d\n" + + "\n", + nmesh, ermx, iermx, ijermx + ); + System.out.printf("\n Mesh points:\n"); + for (int i = 0; i < nmesh; i++) { + System.out.printf("%4d(%1d)%10.3E", i+1, ipmesh[i], mesh[i]); + if ((i+1) % 4 == 0) { + System.out.printf("\n"); + } + } + System.out.printf("\n"); + + // Print solution components on mesh + System.out.printf("\n x f f\' g\n"); + for (int i = 0; i < nmesh; i++) { + ifail = 0; + d02ty.eval(mesh[i], y, NEQ, MMAX, rcomm, icomm, ifail); + ifail = d02ty.getIFAIL(); + System.out.printf( + " %8.3f %9.4f%9.4f%9.4f\n", mesh[i], y[getIdx(1, 0, NEQ)], + y[getIdx(2, 0, NEQ)], y[getIdx(3, 0, NEQ)] + ); + } + + if (j == ncont - 1) { + break; + } + + // Modify continuation parameter + r = 100.0 * r; + sqrofr = Math.sqrt(r); + + // Select mesh for continuation + Arrays.fill(ipmesh, 1, nmesh - 1, 2); + + // Call continuation primer routine + ifail = 0; + d02tx.eval(mxmesh, nmesh, mesh, ipmesh, rcomm, icomm, ifail); + mxmesh = d02tx.getMXMESH(); + nmesh = d02tx.getNMESH(); + ifail = d02tx.getIFAIL(); + + } + + } + + /** + * Converts a 2D Fortran index to the 1D index for its corresponding Java + * array. Assumes y is already zero-based. + * + *

    Fortran array definition: + * a(dimX, 0:*) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return (y * dimX) + (x-1); + } + + /** + * Converts a 3D Fortran index to the 1D index for its corresponding Java + * array. Assumes z is already zero-based. + * + *

    Fortran array definition: + * a(dimX, dimY, 0:*) + * + *

    Conversion: + * a(x, y, z) --> A[result] + */ + private static int getIdx(int x, int y, int z, int dimX, int dimY) { + return (z * dimY * dimX) + ((y-1) * dimX) + (x-1); + } + + public static class FFUN extends D02TL.Abstract_D02TL_FFUN { + + public void eval() { + F[0] = Y[getIdx(2, 0, NEQ)]; + F[1] = -((Y[getIdx(1, 0, NEQ)] * Y[getIdx(2, 2, NEQ)]) + + (Y[getIdx(3, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; + F[2] = ((Y[getIdx(2, 0, NEQ)] * Y[getIdx(3, 0, NEQ)]) + - (Y[getIdx(1, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; + } + + } + + public static class FJAC extends D02TL.Abstract_D02TL_FJAC { + + public void eval() { + DFDY[getIdx(1, 2, 0, NEQ, NEQ)] = 1.0; + DFDY[getIdx(2, 1, 0, NEQ, NEQ)] = -Y[getIdx(2, 2, NEQ)] * sqrofr; + DFDY[getIdx(2, 2, 2, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; + DFDY[getIdx(2, 3, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; + DFDY[getIdx(2, 3, 1, NEQ, NEQ)] = -Y[getIdx(3, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 1, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; + DFDY[getIdx(3, 2, 0, NEQ, NEQ)] = Y[getIdx(3, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 3, 0, NEQ, NEQ)] = Y[getIdx(2, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 3, 1, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; + } + + } + + public static class GAFUN extends D02TL.Abstract_D02TL_GAFUN { + + public void eval() { + GA[0] = YA[getIdx(1, 0, NEQ)]; + GA[1] = YA[getIdx(2, 0, NEQ)]; + GA[2] = YA[getIdx(3, 0, NEQ)] - omega; + } + + } + + public static class GBFUN extends D02TL.Abstract_D02TL_GBFUN { + + public void eval() { + GB[0] = YB[getIdx(1, 0, NEQ)]; + GB[1] = YB[getIdx(2, 0, NEQ)]; + GB[2] = YB[getIdx(3, 0, NEQ)] + omega; + } + + } + + public static class GAJAC extends D02TL.Abstract_D02TL_GAJAC { + + public void eval() { + DGADY[getIdx(1, 1, 0, NLBC, NEQ)] = 1.0; + DGADY[getIdx(2, 2, 0, NLBC, NEQ)] = 1.0; + DGADY[getIdx(3, 3, 0, NLBC, NEQ)] = 1.0; + } + + } + + public static class GBJAC extends D02TL.Abstract_D02TL_GBJAC { + + public void eval() { + DGBDY[getIdx(1, 1, 0, NRBC, NEQ)] = 1.0; + DGBDY[getIdx(2, 2, 0, NRBC, NEQ)] = 1.0; + DGBDY[getIdx(3, 3, 0, NRBC, NEQ)] = 1.0; + } + + } + + public static class GUESS extends D02TL.Abstract_D02TL_GUESS { + + public void eval() { + Y[getIdx(1, 0, NEQ)] = -(X - 0.5) * Math.pow(X * (X - 1.0), 2.0); + Y[getIdx(2, 0, NEQ)] = -X * (X - 1.0) + * (5.0 * X * (X - 1.0) + 1.0); + Y[getIdx(2, 1, NEQ)] = -(2.0 * X - 1.0) + * (10.0 * X * (X - 1.0) + 1.0); + Y[getIdx(2, 2, NEQ)] = -12.0 * (5.0 * X * (X - 1.0) + 1.0); + Y[getIdx(3, 0, NEQ)] = -8.0 * omega * Math.pow(X - 0.5, 3.0); + Y[getIdx(3, 1, NEQ)] = -24.0 * omega * Math.pow(X - 0.5, 2.0); + DYM[0] = Y[getIdx(2, 0, NEQ)]; + DYM[1] = -120.0 * (X - 0.5); + DYM[2] = -56.0 * omega * (X - 0.5); + } + + } + +} diff --git a/simple_examples/int32/D03PCJE.java b/simple_examples/int32/D03PCJE.java new file mode 100644 index 0000000..4901e2e --- /dev/null +++ b/simple_examples/int32/D03PCJE.java @@ -0,0 +1,217 @@ +import com.nag.routines.D03.D03PC; +import com.nag.routines.D03.D03PZ; +import com.nag.routines.X01.X01AA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.lang.StringBuilder; + +/** + * D03PCJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class D03PCJE{ + + /** + * D03PCJE main program + */ + public static void main(String[] args){ + int ifail, ind, intpts = 0, it, itask, itrace = 0, itype = 0, lisave, lrsave, m = 0, neqn, npts = 0, nwk, npde = 2; + double hx, pi, piby2, tout = 0, ts = 0, acc = 0, alpha = 0; + int[] isave, iuser, iwsav; + double[] rsave, u, uout, x, xout, ruser, rwsav; + boolean[] lwsav; + String[] cwsav; + + xout = new double[0]; // placeholders + ruser = new double[1]; + rwsav = new double[1100]; + iuser = new int[1]; + iwsav = new int[505]; + lwsav = new boolean[100]; + cwsav = new String[10]; + + System.out.println("D03PCJ Example Program Results"); + + //Specify path to data file + if(args.length != 1){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + intpts = Integer.parseInt(sVal[0]); + npts = Integer.parseInt(sVal[1]); + itype = Integer.parseInt(sVal[2]); + + xout = new double[intpts]; + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int i = 0; i < intpts; i++){ + xout[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.split("\\s+"); + acc = Double.parseDouble(sVal[0]); + alpha = Double.parseDouble(sVal[1]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + m = Integer.parseInt(sVal[0]); + itrace = Integer.parseInt(sVal[1]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + ts = Double.parseDouble(sVal[0]); + tout = Double.parseDouble(sVal[1]); + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + neqn = npde * npts; + lisave = neqn + 24; + nwk = (10 + (6 * npde)) * neqn; + lrsave = nwk + ((21 + (3 * npde)) * npde) + (7 * npts) + 54; + + rsave = new double[lrsave]; + u = new double[npde * npts]; + uout = new double[npde * intpts * itype]; + x = new double[npts]; + isave = new int[lisave]; + ruser[0] = alpha; + ind = 0; + itask = 1; + + X01AA x01aa = new X01AA(); + pi = x01aa.eval(); + piby2 = 0.5 * pi; + hx = piby2/(double)(npts - 1); + x[0] = 0.0; + x[npts - 1] = 1.0; + for(int i = 1; i < (npts - 1); i++){ + x[i] = Math.sin(hx * (double)(i)); + } + + u = uinit(x, npts, iuser, ruser); + + //Character (80) :: cwsav(10) + //Surely a better way of doing this? + for(int i = 0; i < 10; i++){ + StringBuilder builder = new StringBuilder(""); + for(int j = 0; j < 80; j++){ + builder.append(" "); + } + cwsav[i] = builder.toString(); + } + + for(int i = 0; i <5; i++){ + tout = 10 * tout; + + ifail = 0; + pdedef pdedef1 = new pdedef(); + bndary bndary1 = new bndary(); + D03PC d03pc = new D03PC(npde, m, ts, tout, pdedef1, bndary1, u, npts, x, acc, rsave, lrsave, + isave, lisave, itask, itrace, ind, iuser, ruser, cwsav, lwsav, iwsav, + rwsav, ifail); + d03pc.eval(); + + //update ind + ind = d03pc.getIND(); + + if(i == 0){ + System.out.printf("Accuracy requirement = \t%.5e\n Parameter ALPHA = \t%.3e\n", acc, alpha); + System.out.printf("T / X "); + for(int j = 0; j < xout.length; j++){ + System.out.printf("\t%.4f", xout[j]); + } + System.out.printf("\n"); + } + System.out.println(); + + //Interpolate at required spatial points + ifail = 0; + + D03PZ d03pz = new D03PZ(npde, m, u, npts, x, xout, intpts, itype, uout, ifail); + d03pz.eval(); + + System.out.printf("%.4f \tU(1)", tout); + for(int j = 0; j < intpts; j++){ + System.out.printf("\t%.4f ", uout[j * 2]); + } + System.out.printf("\n"); + System.out.printf("\tU(2)"); + for(int j = 0; j < intpts; j++){ + System.out.printf("\t%.4f ", uout[j * 2 + 1]); + } + System.out.printf("\n"); + System.out.println(); + } + + System.out.printf("Number of Integration steps in time\t\t\t%d\n", isave[0]); + System.out.printf("Number of residual evaluations of resulting ODE system\t%d\n", isave[1]); + System.out.printf("Number of Jacobian evaluations\t\t\t\t%d\n", isave[2]); + System.out.printf("Number of iterations of nonlinear solver\t\t%d\n", isave[4]); + } + + /** + * PDE initial condition + */ + public static double[] uinit(double[] x, int npts, int[] iuser, double[] ruser){ + double alpha = ruser[0]; + double[] u = new double[2 * npts]; + for(int i = 0; i < npts; i++){ + u[2 * i] = 2 * alpha * x[i]; + u[(2 * i) + 1] = 1; + } + return u; + } + + public static class pdedef extends D03PC.Abstract_D03PC_PDEDEF{ + public void eval(){ + double alpha = this.RUSER[0]; + this.Q[0] = 4 * alpha * (this.U[1] + (this.X * this.UX[1])); + this.Q[1] = 0; + this.R[0] = this.X * this.UX[0]; + this.R[1] = this.UX[1] - (this.U[0] * this.U[1]); + this.P[0] = 0; + this.P[1] = 0; + this.P[2] = 0; + this.P[3] = 1 - (this.X * this.X); + } + } + + public static class bndary extends D03PC.Abstract_D03PC_BNDARY{ + public void eval(){ + if(this.IBND == 0){ + this.BETA[0] = 0; + this.BETA[1] = 1; + this.GAMMA[0] = this.U[0]; + this.GAMMA[1] = -this.U[0] * this.U[1]; + } + else{ + this.BETA[0] = 1; + this.BETA[1] = 0; + this.GAMMA[0] = -this.U[0]; + this.GAMMA[1] = this.U[1]; + } + } + } + +} + + + diff --git a/simple_examples/int32/D03RAJE.java b/simple_examples/int32/D03RAJE.java new file mode 100644 index 0000000..88d49aa --- /dev/null +++ b/simple_examples/int32/D03RAJE.java @@ -0,0 +1,307 @@ +import com.nag.routines.D03.D03RA; +import com.nag.routines.D03.D03RA.D03RA_BNDARY; +import com.nag.routines.D03.D03RA.D03RA_MONITR; +import com.nag.routines.X01.X01AA; +import com.nag.routines.X02.X02AJ; +import java.util.Arrays; + +/** + * D03RA example program text. + * @author joed + */ +public class D03RAJE { + + public static final double ALPHA = 50.0; + public static final double BETA = 300.0; + public static final double XMAX = 1.0; + public static final double XMIN = 0.0; + public static final double YMAX = 1.0; + public static final double YMIN = 0.0; + public static final int ITRACE = 0; + public static final int NPDE = 1; + + public static D03RA d03ra = new D03RA(); + public static PDEDEF pdedef = new PDEDEF(); + public static BNDRY bndry = new BNDRY(); + public static PDEIV pdeiv = new PDEIV(); + public static MONIT monit = new MONIT(); + public static MONITDUMMY monitDummy = new MONITDUMMY(); + + public static void main(String[] args) { + double tols, tolt, tout, ts; + int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, npde, npts, nx, ny; + double[] dt, twant, optr, rwk; + int[] wklens, iwk, opti = new int[4]; + boolean[] lwk; + + // Run examples + System.out.println(" D03RAJ Example Program Results"); + System.out.println(); + + npts = 2000; + npde = NPDE; + + dt = new double[] {0.1e-2, 0.0, 0.0}; + twant = new double[] {0.24, 0.25}; + ts = 0.0; + + ind = 10; + nx = 41; + ny = 41; + tols = 0.5; + tolt = 0.01; + Arrays.fill(opti, 0); + opti[0] = 6; + maxlev = Math.max(opti[0], 3); + + wklens = computeWkspaceLens(maxlev, npde, npts); + lenrwk = wklens[0]; + leniwk = wklens[1]; + lenlwk = wklens[2]; + rwk = new double[lenrwk]; + iwk = new int[leniwk]; + lwk = new boolean[lenlwk]; + + optr = new double[3 * npde]; + Arrays.fill(optr, 1.0); + + for (int i = 0; i < 2; i++) { + tout = twant[i]; + ifail = 0; + if (i == 0) { + // Dummy monitor used to avoid output on first call + d03ra.eval( + npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, + tolt, pdedef, bndry, pdeiv, monitDummy, opti, optr, + rwk, lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail + ); + } + else { + d03ra.eval( + npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, + tolt, pdedef, bndry, pdeiv, monit, opti, optr, rwk, + lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail + ); + } + + ind = d03ra.getIND(); + ifail = d03ra.getIFAIL(); + ts = d03ra.getTS(); + + printStatistics(ts, iwk, maxlev); + + } + + } + + public static class PDEIV extends D03RA.Abstract_D03RA_PDEIV { + + public void eval() { + Arrays.fill(this.U, 1.0); + } + + } + + public static class PDEDEF extends D03RA.Abstract_D03RA_PDEDEF { + + private static final double ACTIV_ENERGY = 20.0; + private static final double DIFFUSION = 0.1; + private static final double HEAT_RELEASE = 1.0; + private static final double REACTION_RATE = 5.0; + + public void eval() { + + double damkohler; + + damkohler = REACTION_RATE * Math.exp(ACTIV_ENERGY) + / (HEAT_RELEASE * ACTIV_ENERGY); + + for (int col = 0; col < this.NPDE; col++) { + for (int row = 0; row < this.NPTS; row++) { + int idx = (col * this.NPTS) + row; + this.RES[idx] = this.UT[idx] + - (DIFFUSION * (this.UXX[idx] + this.UYY[idx])) + - (damkohler + * (1.0e0 + HEAT_RELEASE - this.U[idx]) + * Math.exp(-ACTIV_ENERGY / this.U[idx])); + } + } + + } + + } + + public static class BNDRY extends D03RA.Abstract_D03RA_BNDARY { + + public void eval() { + X02AJ x02aj = new X02AJ(); + double tol; + + // X02AJ returns machine precision + tol = 10.0 * x02aj.eval(); + + for (int i = 0; i < this.NBPTS; i++) { + int j = this.LBND[i] - 1; + + if (Math.abs(this.X[j]) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.UX[idx]; + } + } + else if (Math.abs(this.X[j] - 1.0) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.U[idx] - 1.0; + } + } + else if (Math.abs(this.Y[j]) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.UY[idx]; + } + } + else if (Math.abs(this.Y[j] - 1.0) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.U[idx] - 1.0; + } + } + } + + } + + } + + public static class MONIT extends D03RA.Abstract_D03RA_MONITR { + + public void eval() { + int ipsol, k, level, npts; + + if (TLAST) { + // Print solution + level = this.NLEV - 1; + npts = this.NGPTS[level]; + ipsol = this.LSOL[level]; + k = 0; + for (int i = 0; i < level; i++) { + k += this.NGPTS[i]; + } + + System.out.printf( + " Solution at every 4th grid point in level%10d" + + " at time %8.4f:%n%n", this.NLEV, this.T + ); + System.out.println( + " x y approx u\n" + ); + for (int i = 0; i < npts; i += 4) { + double ix = this.XPTS[k + i]; + double iy = this.YPTS[k + i]; + double isol = this.SOL[ipsol + i]; + System.out.printf( + " %11.4E %11.3E %11.3E%n", + ix, iy, isol + ); + } + System.out.println(); + + } + + } + + } + + public static class MONITDUMMY extends D03RA.Abstract_D03RA_MONITR { + + public void eval() { + return; + } + + } + + public static int[] computeWkspaceLens(int maxlev, int npde, int maxpts) { + int lenrwk, leniwk, lenlwk; + + lenrwk = (2 * maxpts * npde * ((5 * maxlev) + (18 * npde) + 9)) + + (2 * maxpts); + leniwk = (2 * maxpts * (14 + (5 * maxlev))) + + (7 * maxlev) + 2; + lenlwk = (2 * maxpts) + 400; + + return new int[] {lenrwk, leniwk, lenlwk}; + + } + + public static void printStatistics(double ts, int[] iwk, int maxlev) { + int[] istats = new int[4]; + + System.out.printf(" Statistics:%n"); + System.out.printf(" Time = %8.4f%n", ts); + System.out.printf( + " Total number of accepted timesteps =%5d%n", iwk[0] + ); + System.out.printf( + " Total number of rejected timesteps =%5d%n", iwk[1] + ); + System.out.printf( + "%n" + + " Total number (rounded) of%n" + + " Residual Jacobian Newton Lin sys%n" + + " evals evals iters iters%n" + + " At level %n" + ); + + for (int j = 0; j < maxlev; j++) { + if (iwk[j + 2] != 0) { + int idx = 0; + for (int i = j+2; i <= j+2+(3*maxlev); i += maxlev) { + istats[idx++] = iwk[i]; + } + istats = roundStatisics(istats); + System.out.printf("%8d", j + 1); + for (int i = 0; i < 4; i++) { + System.out.printf("%10d", istats[i]); + } + System.out.printf("%n"); + } + } + + System.out.printf( + "%n" + + " Maximum number of %n" + + " Newton iters Lin sys iters %n" + + " At level %n" + ); + + for (int j = 0; j < maxlev; j++) { + if (iwk[j+2] != 0) { + System.out.printf("%8d", j+1); + System.out.printf("%14d", iwk[j+2+(4*maxlev)]); + System.out.printf("%14d", iwk[j+2+(5*maxlev)]); + System.out.printf("%n"); + } + } + System.out.println(); + + } + + public static int[] roundStatisics(int[] istat) { + double lt; + int k; + + lt = Math.log(10.0); + for (int i = 0; i < istat.length; i++) { + // istat = 0 leads to div by 0 error, doesn't need rounding anyway + if (istat[i] != 0) { + k = (int) (Math.log((double) istat[i]) / lt); + k = (int) Math.pow(10, k); + istat[i] = k * ((istat[i] + k/2)/k); + } + } + + return istat; + + } + +} diff --git a/simple_examples/int32/D03RBJE.java b/simple_examples/int32/D03RBJE.java new file mode 100644 index 0000000..9b1b482 --- /dev/null +++ b/simple_examples/int32/D03RBJE.java @@ -0,0 +1,388 @@ +import com.nag.routines.D03.D03RB; +import com.nag.routines.D03.D03RZ; +import java.util.Arrays; + +/** + * D03RB example program text. + * @author joed + */ +public class D03RBJE { + + public static final int ITRACE = -1; + public static final int NPDE = 2; + public static final double[] TWANT = {0.25, 1.0}; + + public static boolean do_monitr; + public static int print_stats = 0; + + public static BNDARY bndary = new BNDARY(); + public static INIDOM inidom = new INIDOM(); + public static MONITR monitr = new MONITR(); + public static PDEDEF pdedef = new PDEDEF(); + public static PDEIV pdeiv = new PDEIV(); + + public static void main(String[] args) { + D03RB d03rb = new D03RB(); + double tols, tolt, tout, ts; + int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, mxlev, npts; + boolean[] lwk; + double[] optr, rwk, dt = new double[3]; + int[] iwk, opti = new int[4]; + + System.out.println(" D03RBJ Example Program Results"); + + npts = 3000; + mxlev = 7; + + leniwk = 10 * npts * (5 * mxlev + 14) + 2 + 7 * mxlev; + lenlwk = 20 * npts; + lenrwk = 20 * (npts * NPDE * (5 * mxlev + 9 + 18 * NPDE) + 2 * npts); + + rwk = new double[lenrwk]; + iwk = new int[leniwk]; + lwk = new boolean[lenlwk]; + optr = new double[3 * NPDE]; + + // Specify that we are starting the integration in time + // (ind = 0 normally). + ind = 10; + + ts = 0.0; + dt[0] = 0.001; + dt[1] = 1.0E-7; + dt[2] = 0.0; + tols = 0.1; + tolt = 0.05; + opti[0] = mxlev; + maxlev = opti[0]; + Arrays.fill(opti, 1, 4, 0); + Arrays.fill(optr, 1.0); + + // Call main routine + for (int iout = 1; iout <= 2; iout++) { + do_monitr = (iout == 2); + tout = TWANT[iout - 1]; + + ifail = 0; + d03rb.eval( + NPDE, ts, tout, dt, tols, tolt, inidom, pdedef, bndary, pdeiv, + monitr, opti, optr, rwk, lenrwk, iwk, leniwk, lwk, lenlwk, + ITRACE, ind, ifail + ); + ind = d03rb.getIND(); + ifail = d03rb.getIFAIL(); + ts = d03rb.getTS(); + + if (print_stats != 0) { + System.out.printf(" Statistics:\n"); + System.out.printf(" Time = %8.4f\n", ts); + System.out.printf( + " Total number of accepted timesteps =%5d\n", iwk[0] + ); + System.out.printf( + " Total number of rejected timesteps =%5d\n", iwk[1] + ); + System.out.println( + " Total number of " + + " maximum number of " + ); + System.out.println( + " Residual Jacobian Newton Newton " + ); + System.out.println( + " evals evals iters iters " + ); + System.out.println(" Level "); + + maxlev = opti[0]; + for (int j = 0; j < maxlev; j++) { + if (iwk[j+2] != 0) { + System.out.printf( + "%4d%10d%10d%10d%10d\n", + j+1, + iwk[j + 2 + 0*maxlev], + iwk[j + 2 + 1*maxlev], + iwk[j + 2 + 2*maxlev], + iwk[j + 2 + 4*maxlev] + ); + } + } + System.out.println(); + + } + + } + + } + + public static class PDEIV extends D03RB.Abstract_D03RB_PDEIV { + + public void eval(int NPTS, int NPDE, double T, double[] X, double[] Y, double[] U) { + this.setNPTS(NPTS); + this.setNPDE(NPDE); + this.setT(T); + this.setX(X); + this.setY(Y); + this.setU(U); + this.eval(); + } + + public void eval() { + double eps = 0.001, a; + + for (int i = 1; i <= this.NPTS; i++) { + a = (4.0 * (this.Y[i-1] - this.X[i-1]) - this.T) / (32.0 * eps); + if (a <= 0.0) { + this.U[getIdx(i, 1, this.NPTS)] + = 0.75 - 0.25 / (1.0 + Math.exp(a)); + this.U[getIdx(i, 2, this.NPTS)] + = 0.75 + 0.25 / (1.0 + Math.exp(a)); + } + else { + a = -a; + this.U[getIdx(i, 1, this.NPTS)] + = 0.75 - 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); + this.U[getIdx(i, 2, this.NPTS)] + = 0.75 + 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); + } + } + + } + + } + + public static class INIDOM extends D03RB.Abstract_D03RB_INIDOM { + + public void eval() { + int ifail, leniwk; + int[] icold, ilbndd, irowd, lbndd, llbndd, lrowd; + int[] iwk = new int[122]; + String[] pgrid = new String[11]; + + for (int i = 0; i < 11; i++) { + pgrid[i] = " "; + } + + icold = new int[]{ + 0,1,2,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5, + 6,7,8,9,10,0,1,2,3,4,5,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4, + 5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,0,1,2,3,4, + 5,6,7,8,0,1,2,3,4,5,6,7,8 + }; + + ilbndd = new int[]{ + 1,2,3,4,1,4,1,2,3,4,3,4,1,2,12,23,34,41,14,41,12,23,34,41,43,14, + 21,32 + }; + + irowd = new int[]{0,1,2,3,4,5,6,7,8,9,10}; + + lbndd = new int[]{ + 2,4,15,26,37,46,57,68,79,88,98,99,100,101,102,103,104,96,86,85, + 84,83,82,70,59,48,39,28,17,6,8,9,10,11,12,13,18,29,40,49,60,72, + 73,74,75,76,77,67,56,45,36,25,33,32,42,52,53,43,1,97,105,87,81, + 3,7,71,78,14,31,51,54,34 + }; + + llbndd = new int[]{ + 1,2,11,18,19,24,31,37,42,48,53,55,56,58,59,60,61,62,63,64,65,66, + 67,68,69,70,71,72 + }; + + lrowd = new int[]{1,4,15,26,37,46,57,68,79,88,97}; + + this.NX = 11; + this.NY = 11; + + // Check MAXPTS against rough estimate of NPTS. + this.NPTS = this.NX * this.NY; + if (this.MAXPTS < this.NPTS) { + this.IERR = -1; + return; + } + + this.XMIN = 0.0; + this.YMIN = 0.0; + this.XMAX = 1.0; + this.YMAX = 1.0; + + this.NROWS = 11; + this.NPTS = 105; + this.NBNDS = 28; + this.NBPTS = 72; + + for (int i = 0; i < this.NROWS; i++) { + this.LROW[i] = lrowd[i]; + this.IROW[i] = irowd[i]; + } + + for (int i = 0; i < this.NBNDS; i++) { + this.LLBND[i] = llbndd[i]; + this.ILBND[i] = ilbndd[i]; + } + + for (int i = 0; i < this.NBPTS; i++) { + this.LBND[i] = lbndd[i]; + } + + for (int i = 0; i < this.NPTS; i++) { + this.ICOL[i] = icold[i]; + } + + } + + } + + public static class PDEDEF extends D03RB.Abstract_D03RB_PDEDEF { + + public void eval() { + + double eps = 1E-3; + int n = this.NPTS; // For concise getIdx calls + + for (int i = 1; i <= n; i++) { + this.RES[getIdx(i, 1, n)] + = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 1, n)] + - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 1, n)] + + eps * (this.UXX[getIdx(i, 1, n)] + + this.UYY[getIdx(i, 1, n)]); + this.RES[getIdx(i, 2, n)] + = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 2, n)] + - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 2, n)] + + eps * (this.UXX[getIdx(i, 2, n)] + + this.UYY[getIdx(i, 2, n)]); + this.RES[getIdx(i, 1, n)] + = this.UT[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; + this.RES[getIdx(i, 2, n)] + = this.UT[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; + } + + } + + } + + public static class BNDARY extends D03RB.Abstract_D03RB_BNDARY { + + public void eval() { + + double a, eps = 1E-3; + int i, n = this.NPTS; + + for (int k = this.LLBND[0]; k <= this.NBPTS; k++) { + i = this.LBND[k - 1]; + a = (-4.0 * this.X[i - 1] + 4.0 * this.Y[i - 1] - this.T) + / (32.0 * eps); + + if (a <= 0.0) { + this.RES[getIdx(i, 1, n)] + = 0.75 - 0.25 / (1.0 + Math.exp(a)); + this.RES[getIdx(i, 2, n)] + = 0.75 + 0.25 / (1.0 + Math.exp(a)); + } + else { + a = -a; + this.RES[getIdx(i, 1, n)] + = 0.75 - (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); + this.RES[getIdx(i, 2, n)] + = 0.75 + (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); + } + + this.RES[getIdx(i, 1, n)] + = this.U[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; + this.RES[getIdx(i, 2, n)] + = this.U[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; + + } + + } + + } + + public static class MONITR extends D03RB.Abstract_D03RB_MONITR { + + public void eval() { + + D03RZ d03rz = new D03RZ(); + double aprxU, exctU, aprxV, exctV; + int maxpts = 6000; + int ifail, ipsol, npts; + double[] uex = new double[105*2], x = new double[maxpts], + y = new double[maxpts]; + + for (int level = 0; level < this.NLEV; level++) { + + if (!this.TLAST) { + break; + } + + ipsol = this.LSOL[level]; + + // Get grid information + ifail = -1; + npts = 0; + d03rz.eval( + level + 1, this.NLEV, this.XMIN, this.YMIN, this.DXB, + this.DYB, this.LGRID, this.ISTRUC, npts, x, y, maxpts, + ifail + ); + ifail = d03rz.getIFAIL(); + npts = d03rz.getNPTS(); + + if (ifail != 0) { + this.IERR = 1; + break; + } + + // Skip printing? + if (!do_monitr || (level != 0)) { + continue; + } + + // Get exact solution + pdeiv.eval(npts, this.NPDE, this.T, x, y, uex); + + System.out.println(); + System.out.printf( + " Solution at every 2nd grid point in level %d at" + + " time %8.4f:\n\n", level + 1, this.T + ); + System.out.print( + " x y approx u exact u approx v" + + " exact v\n\n" + ); + + ipsol = this.LSOL[level]; + + for (int i = 0; i < npts; i += 2) { + aprxU = this.SOL[ipsol + i]; + exctU = uex[getIdx(i+1, 1, npts)]; + aprxV = this.SOL[ipsol + npts + i]; + exctV = uex[getIdx(i+1, 2, npts)]; + System.out.printf( + " %9.2f %9.2f %9.2f %9.2f %9.2f %9.2f\n", + x[i], y[i], aprxU, exctU, aprxV, exctV + ); + } + System.out.println(); + + } + + } + + } + + /** + * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based + * Java index. + * + *

    Fortran array definition: + * a(dimX, *) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + +} diff --git a/simple_examples/int32/D05BAJE.java b/simple_examples/int32/D05BAJE.java new file mode 100644 index 0000000..7a8caf7 --- /dev/null +++ b/simple_examples/int32/D05BAJE.java @@ -0,0 +1,111 @@ +import com.nag.routines.D05.D05BA; +import com.nag.routines.X02.X02AJ; + +/** + * D05BAJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class D05BAJE{ + + /** + * D05BAJE main program + */ + public static void main(String[] args){ + double alim, h, hi, si, thresh, tlim, tol; + int ifail, iorder, lwk, nmesh = 6; + String method; + double[] errest, yn, work; + + errest = new double[nmesh]; + yn = new double[nmesh]; + + System.out.println("D05BAJ Example Program Results"); + + method = "A"; + iorder = 6; + alim = 0; + tlim = 20; + h = (tlim - alim) / (double) nmesh; + tol = 0.001; + X02AJ x02aj = new X02AJ(); + thresh = x02aj.eval(); + lwk = 10 * nmesh + 6; + work = new double[lwk]; + + //Loop until the supplied workspace is big enough + //breakflag used to exit loop + boolean breakflag = false; + while(true){ + ifail = 1; + + ck ck1 = new ck(); + cf cf1 = new cf(); + cg cg1 = new cg(); + + D05BA d05ba = new D05BA(ck1, cg1, cf1, method, iorder, alim, tlim, yn, errest, nmesh, + tol, thresh, work, lwk, ifail); + d05ba.eval(); + + //update + ifail = d05ba.getIFAIL(); + lwk = d05ba.getLWK(); + work = d05ba.getWORK(); + + switch(ifail){ + case 5: + lwk = (int) work[0]; + work = new double[lwk]; + break; + case 6: + lwk = (int) work[0]; + work = new double[lwk]; + break; + default: + breakflag = true; + } + + if(breakflag == true){ + break; + } + } + + if(ifail != 0){ + System.out.printf("D05BAJ exited with IFAIL = %d\n", ifail); + } + + System.out.println(); + System.out.printf("Size of workplace = %d\n", lwk); + System.out.printf("Tolerance = %.4e\n", tol); + System.out.println(); + System.out.print("T\tApprox. Sol.\tTrue Sol.\tEst. Error\tActual Error\n"); + for(int i = 0; i < nmesh; i++){ + hi = (double) (i + 1) * h; + si = sol(hi); + System.out.printf("%.2f\t%.5f\t\t%.5f\t\t%.5e\t%.5e\n", (alim + hi), yn[i], si, errest[i], Math.abs((yn[i] - si) / si)); + } + } + + private static double sol(double t){ + return Math.log(t + Math.exp(1)); + } + + public static class ck extends D05BA.Abstract_D05BA_CK{ + public double eval(){ + return Math.exp(-this.T); + } + } + + public static class cf extends D05BA.Abstract_D05BA_CF{ + public double eval(){ + return Math.exp(-this.T); + } + } + + public static class cg extends D05BA.Abstract_D05BA_CG{ + public double eval(){ + return (this.Y + Math.exp(-this.Y)); + } + } +} + diff --git a/simple_examples/int32/D05BEJE.java b/simple_examples/int32/D05BEJE.java new file mode 100644 index 0000000..f98bea3 --- /dev/null +++ b/simple_examples/int32/D05BEJE.java @@ -0,0 +1,185 @@ +import com.nag.routines.D05.D05BE; +import com.nag.routines.X01.X01AA; +import com.nag.routines.X02.X02AJ; + +/** + * D05BEJ example program text. + * @author willa + */ +public class D05BEJE{ + + private static final int iorder = 4; + private static final int nmesh = (int)(Math.pow(2, 6) + (2 * iorder) - 1); + private static final int nout = 6; + private static final int lct = nmesh / 32 + 1; + private static final int lwk = ((2 * iorder) + 6) * nmesh + (8 * iorder * iorder) - (16 * iorder) + 1; + + public static void main(String[] args){ + double err, errmax, h, hi1, soln = 0, t = 0, tlim, tolnl; + int ifail; + double[] work, yn; + int[] nct; + + work = new double[lwk]; + yn = new double[nmesh]; + nct = new int[lct]; + + System.out.println("D05BEJ Example Program Results"); + + X02AJ x02aj = new X02AJ(); + tlim = 7; + tolnl = Math.sqrt(x02aj.eval()); + h = tlim /(double) (nmesh - 1); + yn[0] = 0; + + ifail = 0; + + D05BE d05be = new D05BE(); + ck1 k1 = new ck1(); + cf1 f1 = new cf1(); + cg1 g1 = new cg1(); + d05be.eval(k1, f1, g1, "Initial", iorder, tlim, tolnl, nmesh, yn, work, lwk, nct, ifail); + + //UPDATE + yn = d05be.getYN(); + + System.out.println(); + System.out.println("Example 1"); + System.out.println(); + System.out.printf("The stepsize h = %.4f\n", h); + System.out.println(); + System.out.println("\tT\tApproximate"); + System.out.println("\t\tSolution"); + System.out.println(); + + errmax = 0; + + for(int i = 1; i < nmesh; i++){ + hi1 = (double) i * h; + err = Math.abs(yn[i] - sol1(hi1)); + + if(err > errmax){ + errmax = err; + t = hi1; + soln = yn[i]; + } + + if((i > 4) && (i % 5 == 0)){ + System.out.printf("\t%.4f\t%.4f\n", hi1, yn[i]); + } + } + + System.out.println(); + System.out.printf("The maximum absolute error, %.2e, occured at T = %.4f with solution %.4f\n", errmax, t, soln); + System.out.println(); + + tlim = 5; + h = tlim /(double) (nmesh - 1); + yn[0] = 1; + + ifail = 0; + + ck2 k2 = new ck2(); + cf2 f2 = new cf2(); + cg2 g2 = new cg2(); + d05be.eval(k2, f2, g2, "Subsequent", iorder, tlim, tolnl, nmesh, yn, work, lwk, nct, ifail); + + //UPDATE + yn = d05be.getYN(); + + System.out.println(); + System.out.println("Example 2"); + System.out.println(); + System.out.printf("The stepsize h = %.4f\n", h); + System.out.println(); + System.out.println("\tT\tApproximate"); + System.out.println("\t\tSolution"); + System.out.println(); + + errmax = 0; + + for(int i = 0; i < nmesh; i++){ + hi1 = (double) i * h; + err = Math.abs(yn[i] - sol2(hi1)); + if(err > errmax){ + errmax = err; + t = hi1; + soln = yn[i]; + } + + if((i > 6) && (i % 7 == 0)){ + System.out.printf("\t%.4f\t%.4f\n", hi1, yn[i]); + } + } + + System.out.println(); + System.out.printf("The maximum absolute error, %.2e, occured at T = %.4f with solution %.4f\n", errmax, t, soln); + } + + private static double sol1(double t){ + double c, pi, t1, x = 0; + + //x is dummy variable + X01AA x01aa = new X01AA(x); + pi = x01aa.eval(); + + t1 = 1 + t; + c = 1 / Math.sqrt(2 * pi); + + return (c * (1 / Math.pow(t, 1.5)) * Math.exp((-t1 * t1) / (2 * t))); + } + + private static double sol2(double t){ + return (1 / (1 + t)); + } + + private static class ck1 extends D05BE.Abstract_D05BE_CK{ + public double eval(){ + return (Math.exp(-0.5 * this.T)); + } + } + + private static class ck2 extends D05BE.Abstract_D05BE_CK{ + double pi, x = 0; + + public double eval(){ + X01AA x01aa = new X01AA(x); + pi = x01aa.eval(); + return Math.sqrt(pi); + } + } + + private static class cf1 extends D05BE.Abstract_D05BE_CF{ + double a, pi, t1, x = 0; + + public double eval(){ + X01AA x01aa = new X01AA(x); + pi = x01aa.eval(); + + t1 = 1 + this.T; + a = 1 / Math.sqrt(pi * this.T); + return (-a * Math.exp((-0.5 * t1 * t1) / this.T)); + } + } + + private static class cf2 extends D05BE.Abstract_D05BE_CF{ + double st1; + + public double eval(){ + st1 = Math.sqrt(1 + this.T); + return ((-2 * Math.log(st1 + Math.sqrt(this.T))) / st1); + } + } + + private static class cg1 extends D05BE.Abstract_D05BE_CG{ + public double eval(){ + return this.Y; + } + } + + private static class cg2 extends D05BE.Abstract_D05BE_CG{ + public double eval(){ + return this.Y; + } + } +} diff --git a/simple_examples/int32/DTFSMJE.java b/simple_examples/int32/DTFSMJE.java new file mode 100644 index 0000000..a88b114 --- /dev/null +++ b/simple_examples/int32/DTFSMJE.java @@ -0,0 +1,54 @@ +import com.nag.routines.F01.DTRTTF; +import com.nag.routines.F06.DTFSM; +import com.nag.routines.X04.X04CA; + +/** + * DTFSM example program text. Adapted from f06wbfe.f90 + * @author joed + */ +public class DTFSMJE { + + public static void main(String[] args) { + + double alpha = 4.21; + int ifail = 0, info = 0, m = 6, n = 4; + String side = "L", trans = "N", transr = "N", uplo = "L"; + DTFSM dtfsm = new DTFSM(); + DTRTTF dtrttf = new DTRTTF(); + X04CA x04ca = new X04CA(); + + System.out.println(" DTFSMJ Example Program Results\n"); + + // Set lower triangle of matrix A + double[] a = new double[m*m]; + for (int i = 0; i < m; i++) { + for (int j = 0; j < m; j++) { + a[i*m+j] = (j >= i) ? j+1 : 0; + } + } + + // Set matrix B + double[] b = new double[] { + 3.22, 1.64, 1.87, 5.20, 1.83, -1.10, + 1.37, 1.80, 2.87, -2.99, -2.71, -0.63, + 2.31, 0.38, 2.02, -0.91, -2.81, -0.50, + 0.29, -1.52, -0.80, -3.87, -1.13, 0.81 + }; + + // Convert A to rectangular full packed storage in ar + double[] ar = new double[(m*(m+1))/2]; + info = 0; + dtrttf.eval(transr, uplo, m, a, m, ar, info); + info = dtrttf.getINFO(); + + // Perform the matrix-matrix operation + dtfsm.eval(transr, side, uplo, trans, "N", m, n, alpha, ar, b, m); + + // Print result + ifail = 0; + x04ca.eval("General", " ", m, n, b, m, "The Solution", ifail); + ifail = x04ca.getIFAIL(); + + } + +} diff --git a/simple_examples/int32/E01DAJE.java b/simple_examples/int32/E01DAJE.java new file mode 100644 index 0000000..10c008f --- /dev/null +++ b/simple_examples/int32/E01DAJE.java @@ -0,0 +1,182 @@ +import com.nag.routines.E01.E01DA; +import com.nag.routines.E02.E02DF; + +/** + * E01DA example program text. + */ +public class E01DAJE { + + public static void main(String[] args) { + + int mx = 7, my = 6, ifail = -1; + double[] x = new double[mx]; + double[] y = new double[my]; + double[] f = new double[mx*my]; + double[] lamda = new double[mx+4]; + double[] mu = new double[my+4]; + double[] c = new double[mx*my]; + double[] wrk = new double[(mx+6)*(my+6)]; + + int nx = 6, ny = 6, px = 0, py = 0; + double xlo = 1.0, xhi = 2.0; + double ylo = 0.0, yhi = 1.0; + + E01DA e01da = new E01DA(); + + // Input X, Y and function values on X-Y grid + x[0] = 1.00; + x[1] = 1.10; + x[2] = 1.30; + x[3] = 1.50; + x[4] = 1.60; + x[5] = 1.80; + x[6] = 2.00; + + y[0] = 0.00; + y[1] = 0.10; + y[2] = 0.40; + y[3] = 0.70; + y[4] = 0.90; + y[5] = 1.00; + + // On entry: F[my*(q-1)+r-1] must contain f(q,r), for q=1,2,...,mx + // and r=1,2,...,my. + f[0] = 1.00; + f[1] = 1.10; + f[2] = 1.40; + f[3] = 1.70; + f[4] = 1.90; + f[5] = 2.00; + f[6] = 1.21; + f[7] = 1.31; + f[8] = 1.61; + f[9] = 1.91; + f[10] = 2.11; + f[11] = 2.21; + f[12] = 1.69; + f[13] = 1.79; + f[14] = 2.09; + f[15] = 2.39; + f[16] = 2.59; + f[17] = 2.69; + f[18] = 2.25; + f[19] = 2.35; + f[20] = 2.65; + f[21] = 2.95; + f[22] = 3.15; + f[23] = 3.25; + f[24] = 2.56; + f[25] = 2.66; + f[26] = 2.96; + f[27] = 3.26; + f[28] = 3.46; + f[29] = 3.56; + f[30] = 3.24; + f[31] = 3.34; + f[32] = 3.64; + f[33] = 3.94; + f[34] = 4.14; + f[35] = 4.24; + f[36] = 4.00; + f[37] = 4.10; + f[38] = 4.40; + f[39] = 4.70; + f[40] = 4.90; + f[41] = 5.00; + + System.out.printf(" E01DAJ Example Program Results\n\n"); + e01da.eval(mx, my, x, y, f, px, py, lamda, mu, c, wrk, ifail); + + ifail = e01da.getIFAIL(); + switch (ifail) { + case 0: + System.out.printf(" I Knot LAMDA(I) J Knot MU(j)\n"); + for (int i = 3; i <= Math.max(mx,my); ++i) { + if (i <= mx) { + System.out.printf("%4d %9.4f", i+1, lamda[i]); + } + else { + System.out.printf(" "); + } + if (i <= my) { + System.out.printf("%8d %9.4f\n", i+1, mu[i]); + } + else { + System.out.printf("\n"); + } + } + System.out.printf("\n The B-Spline coefficients:\n"); + for (int i = 0; i < mx*my; ++i) { + System.out.printf("%9.4f", c[i]); + if ((i+1)%8 == 0) { + System.out.printf("\n"); + } + } + System.out.printf("\n"); + break; + default: + System.out.printf("\n Error detected by E01DA: %d\n", ifail); + } + + /* Evaluate the spline on a regular rectangular grid at nx*ny points + over the domain [xlo,xhi] x [ylo,yhi]. */ + px = e01da.getPX(); + py = e01da.getPY(); + int liwrk; + int lwrk = Math.min(4*nx+px, 4*ny+py); + if (4*nx+px > 4*ny+py) { + liwrk = ny + py - 4; + } + else { + liwrk = nx + px - 4; + } + double[] tx = new double[nx]; + double[] ty = new double[ny]; + double[] ff = new double[nx*ny]; + wrk = new double[lwrk]; + int[] iwrk = new int[liwrk]; + + /* Generate nx/ny equispaced x/y co-ordinates */ + double step = (xhi-xlo)/(nx-1); + tx[0] = xlo; + for (int i = 1; i < nx-1; i++) { + tx[i] = tx[i-1] + step; + } + tx[nx-1] = xhi; + + step = (yhi-ylo)/(ny-1); + ty[0] = ylo; + for (int i = 1; i < ny-1; i++) { + ty[i] = ty[i-1] + step; + } + ty[ny-1] = yhi; + + /* Evaluate the spline. */ + E02DF e02df = new E02DF(); + ifail = 0; + e02df.eval(nx,ny,px,py,tx,ty,lamda,mu,c,ff,wrk,lwrk,iwrk,liwrk,ifail); + + ifail = e02df.getIFAIL(); + switch (ifail) { + case 0: + System.out.printf("\n Spline evaluated on a regular mesh (X across, Y down):\n"); + System.out.printf(" "); + for (int i = 0; i < nx; ++i) { + System.out.printf(" %5.2f ", tx[i]); + } + System.out.printf("\n"); + for (int i = 0; i < ny; ++i) { + System.out.printf(" %5.2f ", ty[i]); + for (int j = 0; j < nx; ++j) { + System.out.printf(" %8.3f", ff[ny*j+i]); + } + System.out.printf("\n"); + } + break; + default: + System.out.printf("\n Error detected by E02DF: %d\n", ifail); + } + + } + +} diff --git a/simple_examples/int32/E02ALJE.java b/simple_examples/int32/E02ALJE.java new file mode 100644 index 0000000..372f125 --- /dev/null +++ b/simple_examples/int32/E02ALJE.java @@ -0,0 +1,101 @@ +import com.nag.routines.E02.E02AL; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * E02ALJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class E02ALJE{ + + /** + * E02ALJ Example main program + */ + public static void main(String[] args){ + double dxx, ref = 0, s, t, xx; + int ifail, n = 0, m = 0, neval = 0; //placeholders + double[] a, x, y; + + a = new double[0]; + x = new double[0]; + y = new double[0]; //placeholders + + System.out.println("E02ALJ Example Program Results"); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[1]); + m = Integer.parseInt(sVal[2]); + neval = Integer.parseInt(sVal[3]); + + a = new double[m + 1]; + x = new double[n]; + y = new double[n]; + + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + x[i] = Double.parseDouble(sVal[1]); + y[i] = Double.parseDouble(sVal[2]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + System.exit(-2); + } + + ifail = 0; + E02AL e02al = new E02AL(n, x, y, m, a, ref, ifail); + e02al.eval(); + + //update + ref = e02al.getREF(); + x = e02al.getX(); + y = e02al.getY(); + + + System.out.println(); + System.out.printf(" Polynomial coefficients\n"); + for(int i = 0; i <= m; i++){ + System.out.printf("\t%.4e\n", a[i]); + } + System.out.println(); + System.out.printf(" Reference deviation = %.2e\n", ref); + System.out.println(); + System.out.printf("\tX\tFit\texp(x)\tResidual\n"); + + dxx = 1/(double)(neval - 1); + + for(int j = 0; j < neval; j++){ + xx = (double) j * dxx; + + s = a[m]; + + for(int i = m - 1; i >=0; i--){ + s = s * xx + a[i]; + } + + t = Math.exp(xx); + System.out.printf("\t%.2f\t%.4f\t%.4f\t%.2e\n", xx, s, t, (s - t)); + } + } +} + diff --git a/simple_examples/int32/E04ABJE.java b/simple_examples/int32/E04ABJE.java new file mode 100644 index 0000000..773f1ff --- /dev/null +++ b/simple_examples/int32/E04ABJE.java @@ -0,0 +1,76 @@ +import com.nag.routines.E04.E04AB; + +/** + * E04ABJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class E04ABJE{ + + /** + * E04ABJE main program + */ + public static void main(String[] args){ + double a, b, e1, e2, f = 0, x = 0; //placeholders + int ifail, maxcal; + double[] ruser; + int[] iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println("E04ABJ Example Program Results"); + + //e1 and e2 are set to zero so that E04ABA will reset them to their default values + + e1 = 0; + e2 = 0; + + //The minimum is known to lie in the range (3.5, 5.0) + + a = 3.5; + b = 5.0; + + //Allow 30 calls of FUNCT + + maxcal = 30; + + ifail = -1; + funct funct1 = new funct(); + E04AB e04ab = new E04AB(funct1, e1, e2, a, b, maxcal, x, f, iuser, ruser, ifail); + e04ab.eval(); + + //update + ifail = e04ab.getIFAIL(); + a = e04ab.getA(); + b = e04ab.getB(); + x = e04ab.getX(); + f = e04ab.getF(); + maxcal = e04ab.getMAXCAL(); + + switch(ifail){ + case 0: + System.out.println(); + System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); + System.out.printf("Its estimated position is %.8f,\n", x); + System.out.printf("where the function value is %.4f\n", f); + System.out.printf("%d function evaluations were required\n", maxcal); + break; + case 2: + System.out.println(); + System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); + System.out.printf("Its estimated position is %.8f,\n", x); + System.out.printf("where the function value is %.4f\n", f); + System.out.printf("%d function evaluations were required\n", maxcal); + break; + default: + break; + } + } + + public static class funct extends E04AB.Abstract_E04AB_FUNCT{ + public void eval(){ + FC = Math.sin(this.XC) / this.XC; + } + } +} diff --git a/simple_examples/int32/E04BBJE.java b/simple_examples/int32/E04BBJE.java new file mode 100644 index 0000000..d7032f5 --- /dev/null +++ b/simple_examples/int32/E04BBJE.java @@ -0,0 +1,81 @@ +import com.nag.routines.E04.E04BB; + +/** + * E04BBJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class E04BBJE{ + + /** + * E04BBJE main program + */ + public static void main(String[] args){ + double a, b, e1, e2, f = 0, g = 0, x = 0; //placeholders + int ifail, maxcal; + double[] ruser; + int[] iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println("E04BBJ Example Program Results"); + + //e1 and e2 are set to zero so that E04BBA will reset them to their default values + + e1 = 0; + e2 = 0; + + //The minimum is known to lie in the range (3.5, 5.0) + + a = 3.5; + b = 5.0; + + //Allow 30 calls of FUNCT + + maxcal = 30; + + ifail = -1; + funct funct1 = new funct(); + E04BB e04bb = new E04BB(funct1, e1, e2, a, b, maxcal, x, f, g, iuser, ruser, ifail); + e04bb.eval(); + + //update + a = e04bb.getA(); + b = e04bb.getB(); + maxcal = e04bb.getMAXCAL(); + x = e04bb.getX(); + f = e04bb.getF(); + g = e04bb.getG(); + ifail = e04bb.getIFAIL(); + + switch(ifail){ + case 0: + System.out.println(); + System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); + System.out.printf("Its estimated position is %.8f,\n", x); + System.out.printf("where the function value is %.4f\n", f); + System.out.printf("and the gradient is %.1e (machine dependent)\n", g); + System.out.printf("%d function evaluations were required\n", maxcal); + break; + case 2: + System.out.println(); + System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); + System.out.printf("Its estimated position is %.8f,\n", x); + System.out.printf("where the function value is %.4f\n", f); + System.out.printf("and the gradient is %.1e (machine dependent)\n", g); + System.out.printf("%d function evaluations were required\n", maxcal); + break; + default: + break; + } + } + + public static class funct extends E04BB.Abstract_E04BB_FUNCT{ + public void eval(){ + this.FC = Math.sin(this.XC) / this.XC; + this.GC = (Math.cos(this.XC) - this.FC)/this.XC; + } + } +} + diff --git a/simple_examples/int32/E04CBJE.java b/simple_examples/int32/E04CBJE.java new file mode 100644 index 0000000..fbde674 --- /dev/null +++ b/simple_examples/int32/E04CBJE.java @@ -0,0 +1,90 @@ +import com.nag.routines.E04.E04CB; +import com.nag.routines.E04.E04CBK; +import com.nag.routines.X02.X02AJ; + +/** + * E04CBJ Example Program text + * @author willa + * @since 27.1.0.0 + */ +public class E04CBJE{ + + /** + * E04CBJE main program + */ + public static void main(String[] args){ + int n = 2, ifail, maxcal; + double f = 0, tolf, tolx; //placeholders + boolean monitoring; + int[] iuser; + double[] ruser, x; + + iuser = new int[1]; + ruser = new double[1]; + x = new double[n]; + + System.out.println("E04CBJ Example Program Results"); + + //Set monitoring to true to obtain monitoring information + monitoring = false; + + x[0] = -1.0; + x[1] = 1.0; + X02AJ x02aj = new X02AJ(); + tolf = Math.sqrt(x02aj.eval()); + tolx = Math.sqrt(tolf); + maxcal = 100; + + ifail = 0; + + funct funct1 = new funct(); + if(!monitoring){ + defMonit monit = new defMonit(); + E04CB e04cb = new E04CB(n, x, f, tolf, tolx, funct1, monit, maxcal, iuser, ruser, ifail); + e04cb.eval(); + } + else{ + myMonit monit = new myMonit(); + E04CB e04cb = new E04CB(n, x, f, tolf, tolx, funct1, monit, maxcal, iuser, ruser, ifail); + e04cb.eval(); + } + + System.out.println(); + System.out.printf("The final function value is \t%.4f\n", f); + System.out.printf("at the point\t"); + for(int i = 0; i < n; i++){ + System.out.printf("%.4f\t", x[i]); + } + System.out.printf("\n"); + } + + public static class funct extends E04CB.Abstract_E04CB_FUNCT{ + public void eval(){ + this.FC = Math.exp(this.XC[0]) * ((4 * this.XC[0] * (this.XC[0] + this.XC[1])) + (2 * this.XC[1] * (this.XC[1] + 1) + 1)); + } + } + + public static class myMonit extends E04CB.Abstract_E04CB_MONIT{ + public void eval(){ + System.out.println(); + System.out.printf("There have been %d function calls\n", this.NCALL); + System.out.printf("The smallest function value is %.4f\n", this.FMIN); + System.out.printf("The simplex is\n"); + for(int i = 0; i <= this.N; i++){ + for(int j = 0; j < this.N; j++){ + System.out.printf("%.4f\t", this.SIM[(j * (this.N + 1)) + i]); + } + System.out.printf("\n"); + } + System.out.printf("The standard deviation in function values of the vertices of the simplex is %.4f\n", this.SERROR); + System.out.printf("The linearized volume ratio of the current simplex to the starting one is %.4f\n", this.VRATIO); + } + } + + //This is how to use NAG supplied function as argument + public static class defMonit extends E04CBK implements E04CB.E04CB_MONIT{ + public void eval(){ + super.eval(); + } + } +} diff --git a/simple_examples/int32/E04FCJE.java b/simple_examples/int32/E04FCJE.java new file mode 100644 index 0000000..939f68d --- /dev/null +++ b/simple_examples/int32/E04FCJE.java @@ -0,0 +1,420 @@ +import com.nag.routines.E04.E04FC; +import com.nag.routines.F06.DDOT; +import com.nag.routines.F06.DGEMV; +import com.nag.routines.X02.X02AJ; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.IOException; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * E04FC example program text. + * @author ludovic + */ +public class E04FCJE { + + public static void main(String[] args) { + + BufferedReader dataIn = null; + + try { + E04FC e04fc = new E04FC(); + System.out.println(" E04FCJ Example Program Results"); + dataIn = new BufferedReader(new FileReader(args[0])); + //skip header + dataIn.readLine(); + + int inc1 = 1, liw = 1, m, ldfjac = m = 15, n, ldv = n = 3, nt = 3, + lw = 6 * n + m * n + 2 * m + n * (n - 1) / 2; + String trans = "T"; + + double eta, fsumsq, stepmx, xtol; + eta = fsumsq = stepmx = xtol = Double.NaN; + int ifail, iprint, maxcal, nf, niter; + ifail = iprint = maxcal = nf = niter = 0; + double[] fjac = new double[m * n], + fvec = new double[m], + g = new double[n], + s = new double[n], + v = new double[ldv * n], + w = new double[lw], + x = new double[n], + y = new double[m], + t = new double[m * nt]; + + + int[] iw = new int[liw]; + + for (int i = 0; i < m; ++i) { + String[] line = dataIn.readLine().trim().split("\\s+"); + if (line.length != nt + 1) { + System.err.println("Error in data file - only " + line.length + + " records at line " + (i + 2) + " while expecting " + (nt + 1) + + " elements"); + System.exit(1); + } + y[i] = Double.parseDouble(line[0].replaceAll("D", "E")); // java doesn't know the D format + for (int j = 1; j <= nt; ++j) { + t[i + (j - 1) * m] = Double.parseDouble(line[j].replaceAll("D", "E")); + } + } + + // Set IPRINT to 1 to obtain output from LSQMON at each iteration + iprint = -1; + + maxcal = 400 * n; + eta = 0.5; + xtol = 10.0 * Math.sqrt((new X02AJ()).eval()); + + // We estimate that the minimum will be within 10 units of the starting point + stepmx = 10.0; + + // Set up the starting point + x[0] = 0.5; + x[1] = 1.0; + x[2] = 1.5; + + ifail = -1; + + LSQFUN lsqfun = new LSQFUN(); + lsqfun.t = t; + lsqfun.y = y; + LSQMON lsqmon = new LSQMON(); + + e04fc.eval(m, n, lsqfun, lsqmon, iprint, maxcal, eta, xtol, stepmx, x, fsumsq, + fvec, fjac, ldfjac, s, v, ldv, niter, nf, iw, liw, w, lw, ifail); + + ifail = e04fc.getIFAIL(); + + + switch (ifail) { + case (1): + System.err.println("Unexpected ifail = " + ifail); + break; + default: + System.out.println(); + System.out.printf(" On exit, the sum of squares is %12.4f\n", e04fc.getFSUMSQ()); + System.out.printf(" at the point %12.4f %12.4f %12.4f\n", x[0], x[1], x[2]); + lsqgrd(m, n, fvec, fjac, ldfjac, g); + System.out.print(" The estimated gradient is "); + for (int i = 0; i < n; ++i) { + System.out.printf(" %12.3e\t", g[i]); + } + System.out.println(); + System.out.println(" (machine dependent)"); + System.out.println(" and the residuals are"); + for (int i = 0; i < m; ++i) { + System.out.printf(" %9.1e\n", fvec[i]); + } + } + + + + } + catch (Exception ex) { + Logger.getLogger(E04FCJE.class.getName()).log(Level.SEVERE, null, ex); + } + finally { + try { + dataIn.close(); + } + catch (IOException ex) { + Logger.getLogger(E04FCJE.class.getName()).log(Level.SEVERE, null, ex); + } + } + + + } + + public static void lsqgrd(int m, int n, double[] fvec, double[] fjac, int ldfjac, double[] g) { + DGEMV dgemv = new DGEMV("T", m, n, 1.0, fjac, ldfjac, fvec, 1, 0.0, g, 1); + dgemv.eval(); + for (int i = 0; i < g.length; ++i) { + g[i] = 2.0 * g[i]; + } + } + + public static class LSQFUN implements E04FC.E04FC_LSQFUN { + + public double[] t, y; + int IFLAG, M, N, LW, LIW; + double[] XC, FVEC, W; + int[] IW; + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setM(int M) { + this.M = M; + } + + @Override + public int getM() { + return M; + } + + @Override + public void setN(int N) { + this.N = N; + } + + @Override + public int getN() { + return N; + } + + @Override + public void setXC(double[] XC) { + this.XC = XC; + } + + @Override + public double[] getXC() { + return XC; + } + + @Override + public void setFVEC(double[] FVEC) { + this.FVEC = FVEC; + } + + @Override + public double[] getFVEC() { + return FVEC; + } + + @Override + public void setIW(int[] IW) { + this.IW = IW; + } + + @Override + public int[] getIW() { + return IW; + } + + @Override + public void setLIW(int LIW) { + this.LIW = LIW; + } + + @Override + public int getLIW() { + return LIW; + } + + @Override + public void setW(double[] W) { + this.W = W; + } + + @Override + public double[] getW() { + return W; + } + + @Override + public void setLW(int LW) { + this.LW = LW; + } + + @Override + public int getLW() { + return LW; + } + + @Override + public void eval(int IFLAG, int M, int N, double[] XC, double[] FVEC, + int[] IW, int LIW, double[] W, int LW) { + for (int i = 0; i < M; ++i) { + FVEC[i] = XC[0] + t[i] / (XC[1] * t[i + M] + XC[2] * t[i + 2 * M]) - y[i]; + } + } + + } + + public static class LSQMON implements E04FC.E04FC_LSQMON { + + int M, N, LDFJAC, NITER, NF, IGRADE, LIW, LW; + int[] IW; + double[] XC, FVEC, FJAC, S, W; + + @Override + public void setM(int M) { + this.M = M; + } + + @Override + public int getM() { + return M; + } + + @Override + public void setN(int N) { + this.N = N; + } + + @Override + public int getN() { + return N; + } + + @Override + public void setXC(double[] XC) { + this.XC = XC; + } + + @Override + public double[] getXC() { + return XC; + } + + @Override + public void setFVEC(double[] FVEC) { + this.FVEC = FVEC; + } + + @Override + public double[] getFVEC() { + return FVEC; + } + + @Override + public void setFJAC(double[] FJAC) { + this.FJAC = FJAC; + } + + @Override + public double[] getFJAC() { + return FJAC; + } + + @Override + public void setLDFJAC(int LDFJAC) { + this.LDFJAC = LDFJAC; + } + + @Override + public int getLDFJAC() { + return LDFJAC; + } + + @Override + public void setS(double[] S) { + this.S = S; + } + + @Override + public double[] getS() { + return S; + } + + @Override + public void setIGRADE(int IGRADE) { + this.IGRADE = IGRADE; + } + + @Override + public int getIGRADE() { + return IGRADE; + } + + @Override + public void setNITER(int NITER) { + this.NITER = NITER; + } + + @Override + public int getNITER() { + return NITER; + } + + @Override + public void setNF(int NF) { + this.NF = NF; + } + + @Override + public int getNF() { + return NF; + } + + @Override + public void setIW(int[] IW) { + this.IW = IW; + } + + @Override + public int[] getIW() { + return IW; + } + + @Override + public void setLIW(int LIW) { + this.LIW = LIW; + } + + @Override + public int getLIW() { + return LIW; + } + + @Override + public void setW(double[] W) { + this.W = W; + } + + @Override + public double[] getW() { + return W; + } + + @Override + public void setLW(int LW) { + this.LW = LW; + } + + @Override + public int getLW() { + return LW; + } + + @Override + public void eval(int M, int N, double[] XC, double[] FVEC, double[] FJAC, + int LDFJAC, double[] S, int IGRADE, int NITER, int NF, int[] IW, + int LIW, double[] W, int LW) { + + int ndec = 3; + double fsumsq, gtg; + double[] g = new double[ndec]; + DDOT ddot = new DDOT(M, FVEC, 1, FVEC, 1); + fsumsq = ddot.eval(); + + lsqgrd(M, N, FVEC, FJAC, LDFJAC, g); + + gtg = ddot.eval(N, g, 1, g, 1); + // 99998 Format (1X,1P,E13.5,10X,1P,E9.1,10X,1P,E9.1) + System.out.println(); + System.out.println(" Itn F evals SUMSQ GTG Grade"); + System.out.printf(" %4d %5d %13.5e %9.1e %3d\n", + NITER, NF, fsumsq, gtg, IGRADE); + System.out.println(); + System.out.println(" X G Singular values"); + for (int j = 0; j < N; ++j) { + System.out.printf(" %13.5e %9.1e %9.1e\n",XC[j], g[j], S[j]); + } + + } + + } + +} diff --git a/simple_examples/int32/E04FFJE.java b/simple_examples/int32/E04FFJE.java new file mode 100644 index 0000000..ad81e32 --- /dev/null +++ b/simple_examples/int32/E04FFJE.java @@ -0,0 +1,140 @@ +import com.nag.routines.E04.E04FF; +import com.nag.routines.E04.E04FFU; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RM; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04ZM; +import java.util.Arrays; + +/** + * E04FF example program text. + * @author joed + */ +public class E04FFJE { + + public static void main(String[] args) { + double infbnd = 1.0e20; + double[] lx, rx, ux, x, ruser, pdy, pdz; + double[] rinfo = new double[100], stats = new double[100]; + int ifail, isparse, nnzrd, nres, nvar, pdny, pdnz; + int[] iuser; + int[] icolrd = new int[1], irowrd = new int[1]; + long cpuser, handle; // c_ptr + MONIT monit = new MONIT(); + OBJFUN objfun = new OBJFUN(); + + /* Header */ + System.out.printf(" E04FFJ Example Program Results\n\n"); + + /* Fill problem data structure */ + pdny = 11; + pdnz = 11; + pdy = new double[] { + 4.0e0, 2.0e0, 1.0e0, 5.0e-1, 2.5e-1, 1.67e-1, 1.25e-1, 1.0e-1, + 8.33e-2, 7.14e-2, 6.25e-2 + }; + pdz = new double[] { + 1.957e-1, 1.947e-1, 1.735e-1, 1.6e-1, 8.44e-2, 6.27e-2, 4.56e-2, + 3.42e-2, 3.23e-2, 2.35e-2, 2.46e-2 + }; + nvar = 4; + nres = 11; + + /* Initialize handle */ + E04RA e04ra = new E04RA(); + handle = 0; + ifail = 0; // hard fail + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + /* Define residuals structure */ + E04RM e04rm = new E04RM(); + isparse = 0; // Dense => irowrd and icolrd are not accessed + nnzrd = 1; + ifail = 0; + e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); + + /* Set options */ + E04ZM e04zm = new E04ZM(); + ifail = 0; + e04zm.eval(handle, "DFLS Trust Region Tolerance = 5.0e-6", ifail); + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + + /* Define starting point */ + x = new double[] {0.25, 0.39, 0.415, 0.39}; + rx = new double[nres]; + + /* Define bounds for the second and the fourth variable */ + E04RH e04rh = new E04RH(); + lx = new double[] {-infbnd, 0.2, -infbnd, 0.3}; + ux = new double[] {infbnd, 1.0, infbnd, infbnd}; + ifail = 0; + e04rh.eval(handle, nvar, lx, ux, ifail); + + /* Call the solver */ + E04FF e04ff = new E04FF(); + ifail = -1; + iuser = new int[] {pdny, pdnz}; + ruser = new double[2 * nres]; + cpuser = 0L; + for (int i = 0; i < nres; i++) { + ruser[i] = pdy[i]; + ruser[nres + i] = pdz[i]; + } + e04ff.eval(handle, objfun, monit, nvar, x, nres, rx, rinfo, stats, + iuser, ruser, cpuser, ifail); + + /* Free handle memory */ + E04RZ e04rz = new E04RZ(); + ifail = 0; + e04rz.eval(handle, ifail); + + } + + public static class OBJFUN extends E04FF.Abstract_E04FF_OBJFUN { + + public void eval() { + int pdny, pdnz; + double r1, r2; + double[] pdy, pdz; + + /* Interrupt solver if the dimensions are incorrect */ + if (this.NRES != 11 || this.NVAR != 4) { + this.INFORM = -1; + return; + } + + /* Extract the problem data structure from the workspaces */ + pdny = this.IUSER[0]; + pdnz = this.IUSER[1]; + if (pdny != this.NRES || pdnz != this.NRES) { + this.INFORM = -1; + return; + } + pdy = Arrays.copyOfRange(this.RUSER, 0, pdny); + pdz = Arrays.copyOfRange(this.RUSER, pdny, pdny + pdnz); + + for (int i = 0; i < this.NRES; i++) { + r1 = pdy[i] * (pdy[i] + this.X[1]); + r2 = pdy[i] * (pdy[i] + this.X[2]) + this.X[3]; + this.RX[i] = pdz[i] - (this.X[0] * r1/r2); + } + + } + + } + + public static class MONIT extends E04FF.Abstract_E04FF_MONIT { + + public void eval() { + E04FFU e04ffu = new E04FFU(); + e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, + this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ffu.getINFORM(); + } + + } + +} diff --git a/simple_examples/int32/E04GBJE.java b/simple_examples/int32/E04GBJE.java new file mode 100644 index 0000000..7becf21 --- /dev/null +++ b/simple_examples/int32/E04GBJE.java @@ -0,0 +1,183 @@ +import com.nag.routines.A00.A00AA; +import com.nag.routines.E04.E04GB; +import com.nag.routines.E04.E04HEV; +import com.nag.routines.E04.E04YA; +import com.nag.routines.F06.DDOT; +import com.nag.routines.F06.F06PA; +import com.nag.routines.X02.X02AJ; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * E04GB example program text. + */ +public class E04GBJE { + + public static final int inc1 = 1, liw = 1, m = 15, n = 3, nt = 3; + public static final int ldfjac = m, ldv = n, lw = 7*n + m*n + 2*m + n*n; + public static final String trans = "T"; + public static double[] y; + public static double[] t; + + public static void main(String[] args) { + + double eta, fsumq = 0.0, stepmx, xtol; + int ifail, iprint, maxcal, nf = 0, niter = 0; + double[] fjac = new double[ldfjac * n]; + double[] fvec = new double[m]; + double[] g = new double[n]; + double[] s = new double[n]; + double[] v = new double[ldv * n]; + double[] w = new double[lw * n]; + double[] x = new double[n]; + int[] iw = new int[liw]; + + System.out.println(" E04GBJ Example Program Results"); + + // Data + y = new double[] { + 0.14, 0.18, 0.22, 0.25, 0.29, 0.32, 0.35, 0.39, 0.37, 0.58, 0.73, + 0.96, 1.34, 2.10, 4.39 + }; + + t = new double[m * nt]; + for (int i = 0; i < m; i++) { + t[i] = i + 1.0; + t[m + i] = 15.0 - i; + t[2*m + i] = -Math.abs(i - 7.0) + 8.0; + } + + // Check LSQFUN by calling E04YA at an arbitrary point + E04YA e04ya = new E04YA(); + LSQFUN lsqfun = new LSQFUN(); + x[0] = 0.19; + x[1] = -.34; + x[2] = 0.88; + ifail = 0; + e04ya.eval(m, n, lsqfun, x, fvec, fjac, ldfjac, iw, liw, w, lw, ifail); + + // Continue setting parameters for E04GB + E04GB e04gb = new E04GB(); + LSQMON lsqmon = new LSQMON(); + LSQLIN lsqlin = new LSQLIN(); + iprint = -1; // Set to 1 to obtain output from LSQMON at each iteration + maxcal = 50 * n; + eta = 0.09; // Since E04HEV is being used as LSQLIN + xtol = 10.0 * Math.sqrt((new X02AJ()).eval()); + stepmx = 10.0; + + // Set up the starting point + x[0] = 0.5; + x[1] = 1.0; + x[2] = 1.5; + + ifail = -1; + e04gb.eval(m, n, lsqlin, lsqfun, lsqmon, iprint, maxcal, eta, xtol, + stepmx, x, fsumq, fvec, fjac, ldfjac, s, v, ldv, niter, nf, iw, + liw, w, lw, ifail); + fsumq = e04gb.getFSUMSQ(); + x = e04gb.getX(); + ifail = e04gb.getIFAIL(); + + if (ifail == 0 || ifail >= 2) { + System.out.println(); + System.out.printf(" On exit, the sum of squares is %12.4f\n", fsumq); + System.out.printf(" at the point "); + for (int ii = 0; ii < n; ++ii) { + System.out.printf("%12.4f", x[ii]); + } + System.out.println(); + + lsqmon.lsqgrd(m, n, fvec, fjac, ldfjac, g); + + System.out.print(" The corresponding gradient is"); + for (int ii = 0; ii < n; ++ii) { + System.out.printf("%12.3E", g[ii]); + } + System.out.println(); + System.out.println(" (machine dependent)"); + System.out.println(" and the residuals are"); + for (int ii = 0; ii < m; ++ii) { + System.out.printf(" %9.1E\n", fvec[ii]); + } + System.out.println(); + } + + } + + /** Routine to evaluate the residuals and their 1st derivatives. */ + public static class LSQFUN extends E04GB.Abstract_E04GB_LSQFUN implements E04YA.E04YA_LSQFUN { + + public void eval() { + double denom, dummy; + + for (int i = 0; i < m; i++) { + denom = this.XC[1] * t[i + this.M] + this.XC[2] * t[i + 2*this.M]; + this.FVEC[i] = this.XC[0] + t[i] / denom - y[i]; + + if (this.IFLAG != 0) { + this.FJAC[i] = 1.0; + dummy = -1.0 / (denom * denom); + this.FJAC[i + ldfjac] = t[i] * t[i + this.M] * dummy; + this.FJAC[i + 2*ldfjac] = t[i] * t[i + 2*this.M] * dummy; + } + } + + } + + } + + public static class LSQMON extends E04GB.Abstract_E04GB_LSQMON { + + public static final int ndec = 3; + + /** Monitoring routine. */ + public void eval() { + double fsumsq, gtg; + double[] g = new double[ndec]; + DDOT ddot = new DDOT(); + + fsumsq = ddot.eval(this.M, this.FVEC, inc1, this.FVEC, inc1); + this.lsqgrd(this.M, this.N, this.FVEC, this.FJAC, this.LDFJAC, g); + gtg = ddot.eval(this.N, g, inc1, g, inc1); + + System.out.println(); + System.out.println(" Itn F evals SUMSQ GTG Grade"); + System.out.printf(" %4d %5d %13.5E %9.1E %3d\n", + this.NITER, this.NF, fsumsq, gtg, this.IGRADE); + System.out.println(); + System.out.println(" X G Singular values"); + for (int j = 0; j < n; j++) { + System.out.printf(" %13.5E %9.1E %9.1E\n", + this.XC[j], g[j], this.S[j]); + } + + } + + /** Routine to evaluate gradient of the sum of squares. */ + public void lsqgrd(int m, int n, double[] fvec, double[] fjac, int ldfjac, double[] g) { + F06PA f06pa = new F06PA(trans, m, n, 1.0, fjac, ldfjac, fvec, inc1, 0.0, g, inc1); + f06pa.eval(); + + for (int i = 0; i < n; ++i) { + g[i] = 2.0 * g[i]; + } + + } + + } + + /** Using E04HEV as LSQLIN. */ + private static class LSQLIN extends E04HEV implements E04GB.E04GB_LSQLIN { + + public void eval() { + super.eval(); + } + + } + +} diff --git a/simple_examples/int32/E04GGJE.java b/simple_examples/int32/E04GGJE.java new file mode 100644 index 0000000..8a18c6a --- /dev/null +++ b/simple_examples/int32/E04GGJE.java @@ -0,0 +1,219 @@ +import com.nag.routines.E04.E04FFU; +import com.nag.routines.E04.E04GG; +import com.nag.routines.E04.E04GGV; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RM; +import com.nag.routines.E04.E04RX; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04ZM; + +/** + * E04GG example program text. + */ +public class E04GGJE { + + public static void main(String[] args) { + + final double infbnd = 1.0e20; + + long cpuser = 0, handle = 0; + int ifail, isparse, nnzrd, nres, nvar; + + double[] blx, bux, ruser, rx, x, z; + double[] rinfo = new double[100], stats = new double[100]; + int[] icolrd = new int[1], irowrd = new int[1], iuser = new int[1]; + + /* Header */ + System.out.println(" E04GGJ Example Program Results\n"); + + nvar = 6; + nres = 24; + // ruser = new double[2*nres]; + // Data from Lanczos 3 Problem + ruser = new double[] { + // t(:) = + 0.0e0, 5.0e-2, 1.0e-1, 1.5e-1, 2.0e-1, 2.5e-1, 3.0e-1, 3.5e-1, + 4.0e-1, 4.5e-1, 5.0e-1, 5.5e-1, 6.0e-1, 6.5e-1, 7.0e-1, 7.5e-1, + 8.0e-1, 8.5e-1, 9.0e-1, 9.5e-1, 1.0e0, 1.05e0, 1.10e0, 1.15e0, + // y(:) = + 2.5134, 2.0443, 1.6684, 1.3664, 1.1232, 0.9269, 0.7679, 0.6389, + 0.5338, 0.4479, 0.3776, 0.3197, 0.2720, 0.2325, 0.1997, 0.1723, + 0.1493, 0.1301, 0.1138, 0.1000, 0.0883, 0.0783, 0.0698, 0.0624 + }; + + iuser[0] = 0; + + // Initialize handle + ifail = 0; + E04RA e04ra = new E04RA(); + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + // Define residuals structure, isparse=0 means the residual structure is + // dense => irowrd and icolrd are not accessed + isparse = 0; + nnzrd = 0; + E04RM e04rm = new E04RM(); + e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); + + // Set options + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "BXNL Use Second Derivatives = Yes",ifail); + e04zm.eval(handle, "BXNL Model = Gauss-Newton",ifail); + e04zm.eval(handle, "BXNL Glob Method = Reg",ifail); + // Change printed output verbosity + e04zm.eval(handle, "Print Level = 1",ifail); + + // Define starting point + rx = new double[nres]; + z = new double[nvar]; + // x = new double[nvar]; + x = new double[] { + 1.2, 0.3, 5.6, 5.5, 6.5, 7.6 + }; + + // Define bounds + blx = new double[nvar]; + bux = new double[nvar]; + blx[0] = 0.0; + bux[0] = 1.0; + blx[1] = -1.0; + bux[1] = infbnd; + blx[2] = -1.0; + bux[2] = infbnd; + blx[3] = -1.0; + bux[3] = infbnd; + blx[4] = -1.0; + bux[4] = 1.0; + blx[5] = -1.0; + bux[5] = 10.0; + E04RH e04rh = new E04RH(); + e04rh.eval(handle, nvar, blx, bux, ifail); + + // Call the solver + ifail = -1; + E04GG e04gg = new E04GG(); + LSQFUN lsqfun = new LSQFUN(); + LSQGRD lsqgrd = new LSQGRD(); + LSQHES lsqhes = new LSQHES(); + LSQHPRD lsqhprd = new LSQHPRD(); + MONIT monit = new MONIT(); + + e04gg.eval(handle,lsqfun,lsqgrd,lsqhes,lsqhprd,monit,nvar,x,nres,rx,rinfo,stats,iuser,ruser,cpuser,ifail); + ifail = e04gg.getIFAIL(); + + // Recover latest iterate from handle if available + if (ifail == 0) { + ifail = -1; + E04RX e04rx = new E04RX(); + e04rx.eval(handle,"X",1,nvar,z,ifail); + ifail = e04rx.getIFAIL(); + if (ifail == 0) { + System.out.println("\nSolver stored solution iterate in the handle"); + System.out.print("X: "); + for (int i = 0; i < nvar; i++){ + System.out.printf("%8.2E ", z[i]); + } + System.out.println(); + } + } + + // Free the handle memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + + } + + public static class LSQFUN extends E04GG.Abstract_E04GG_LSQFUN { + + public void eval() { + for (int i = 0; i < this.NRES; i++){ + this.RX[i] = 0.0; + } + + for (int i = 0; i < this.NRES; i++){ + this.RX[i] = this.RUSER[this.NRES + i] - this.X[0] * Math.exp(-this.X[1] * this.RUSER[i]) - + this.X[2] * Math.exp(-this.X[3] * this.RUSER[i]) - this.X[4] * Math.exp(-this.X[5] * this.RUSER[i]); + } + + this.INFORM = 0; + } + } + + public static class LSQGRD extends E04GG.Abstract_E04GG_LSQGRD { + + public void eval() { + int i; + + for (i = 0; i < this.RDX.length; i++) { + this.RDX[i] = 0; + } + + for (i = 0; i < this.NRES; i++) { + this.RDX[i * this.NVAR + 0] = -Math.exp(-this.X[1] * this.RUSER[i]); + this.RDX[i * this.NVAR + 1] = this.RUSER[i] * this.X[0] * Math.exp(-this.X[1] * this.RUSER[i]); + this.RDX[i * this.NVAR + 2] = -Math.exp(-this.X[3] * this.RUSER[i]); + this.RDX[i * this.NVAR + 3] = this.RUSER[i] * this.X[2] * Math.exp(-this.X[3] * this.RUSER[i]); + this.RDX[i * this.NVAR + 4] = -Math.exp(-this.X[5] * this.RUSER[i]); + this.RDX[i * this.NVAR + 5] = this.RUSER[i] * this.X[4] * Math.exp(-this.X[5] * this.RUSER[i]); + } + + this.INFORM = 0; + } + } + + public static class LSQHES extends E04GG.Abstract_E04GG_LSQHES { + + public void eval() { + for (int i = 0; i < this.NVAR * this.NVAR; i++) { + this.HX[i] = 0.0; + } + + double sum21 = 0.0, sum22 = 0.0, sum43 = 0.0, sum44 = 0.0, sum65 = 0.0, sum66 = 0.0; + + for (int i = 0; i < this.NRES; i++){ + sum21 = sum21 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[1] * this.RUSER[i])); + sum22 = sum22 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[0] * Math.exp(-this.X[1] * this.RUSER[i])); + sum43 = sum43 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[3] * this.RUSER[i])); + sum44 = sum44 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[2] * Math.exp(-this.X[3] * this.RUSER[i])); + sum65 = sum65 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[5] * this.RUSER[i])); + sum66 = sum66 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[4] * Math.exp(-this.X[5] * this.RUSER[i])); + } + + this.HX[(2-1) + (1-1) * this.NVAR] = sum21; + this.HX[(1-1) + (2-1) * this.NVAR] = this.HX[(2-1) + (1-1) * this.NVAR]; + this.HX[(2-1) + (2-1) * this.NVAR] = sum22; + this.HX[(4-1) + (3-1) * this.NVAR] = sum43; + this.HX[(3-1) + (4-1) * this.NVAR] = this.HX[(4-1) + (3-1) * this.NVAR]; + this.HX[(4-1) + (4-1) * this.NVAR] = sum44; + this.HX[(6-1) + (5-1) * this.NVAR] = sum65; + this.HX[(5-1) + (6-1) * this.NVAR] = this.HX[(6-1) + (5-1) * this.NVAR]; + this.HX[(6-1) + (6-1) * this.NVAR] = sum66; + + this.INFORM = 0; + } + } + + public static class MONIT extends E04GG.Abstract_E04GG_MONIT { + + public void eval() { + E04FFU e04ffu = new E04FFU(); + e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, + this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ffu.getINFORM(); + } + } + + public static class LSQHPRD extends E04GG.Abstract_E04GG_LSQHPRD { + + public void eval() { + E04GGV e04ggv = new E04GGV(); + e04ggv.eval(this.NVAR, this.X, this.Y, this.NRES, this.HXY, + this.INFORM, this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ggv.getINFORM(); + } + } + +} diff --git a/simple_examples/int32/E04MTJE.java b/simple_examples/int32/E04MTJE.java new file mode 100644 index 0000000..6272e91 --- /dev/null +++ b/simple_examples/int32/E04MTJE.java @@ -0,0 +1,132 @@ +import com.nag.routines.E04.E04MT; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RF; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RJ; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04ZM; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.Arrays; + +/** + * E04MT example program text. + */ +public class E04MTJE { + + public static void main(String[] args) throws IOException { + + System.out.println(" E04MTJ Example Program Results"); + int m = 7; + int n = 7; + int nnza = 41; + int nnzc = 7; + int nnzu = 2*n + 2*m; + + int[] cindex = {1,2,3,4,5,6,7}; + double[] c = {-0.02,-0.20,-0.20,-0.20,-0.20, 0.04, 0.04}; + int[] irowa = {1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3, + 4,4,4,4,4,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7}; + int[] icola = {1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,4,5,6, + 1,2,3,4,5,1,2,5,1,2,3,4,5,6,1,2,3,4,5,6,7}; + double[] a = {1.00, 1.00, 1.00, 1.00, 1.00, 1.00, 1.00, + 0.15, 0.04, 0.02, 0.04, 0.02, 0.01, 0.03, + 0.03, 0.05, 0.08, 0.02, 0.06, 0.01,0.02, + 0.04, 0.01, 0.02, 0.02,0.02, 0.03, 0.01,0.70, + 0.75, 0.80, 0.75, 0.80, 0.97,0.02, 0.06, 0.08, + 0.12, 0.02, 0.01, 0.97}; + double[] bla = {-0.13,-1.0e20,-1.0e20,-1.0e20,-1.0e20, + -0.0992,-0.003}; + double[] bua = {-0.13,-0.0049,-0.0064,-0.0037,-0.0012, + 1.0e20, 0.002}; + double[] xl = {-0.01,-0.1,-0.01,-0.04,-0.1,-0.01,-0.01}; + double[] xu = {0.01,0.15,0.03,0.02,0.05,1.0e20,1.0e20}; + double[] dArrData = new double[nnza+2*m+3*n+nnzc+nnzu]; + + long handle = 0; + int ifail = 0; + E04RA e04ra = new E04RA(handle,n,ifail); + e04ra.eval(); + + handle = e04ra.getHANDLE(); + + int[] icolh = new int[1]; + int[] irowh = new int[1]; + double[] h = new double[1]; + E04RF e04rf = new E04RF(handle,nnzc,cindex,c,0,irowh,icolh,h,ifail); + e04rf.eval(); + handle = e04ra.getHANDLE(); + + E04RH e04rh = new E04RH(handle,n,xl,xu,ifail); + e04rh.eval(); + handle = e04rh.getHANDLE(); + + int idlc = 0; + E04RJ e04rj = new E04RJ(handle,m,bla,bua,nnza,irowa,icola,a,idlc,ifail); + e04rj.eval(); + handle = e04rj.getHANDLE(); + + E04ZM e04zm = new E04ZM(handle,"LPIPM Monitor Frequency = 1",ifail); + e04zm.eval(); + e04zm.setOPTSTR("LPIPM Stop Tolerance = 1.0e-10"); + e04zm.eval(); + e04zm.setOPTSTR("Print Solution = YES"); + e04zm.eval(); + e04zm.setOPTSTR("Print Options = NO"); + e04zm.eval(); + e04zm.setOPTSTR("LPIPM Centrality Correctors = -6"); + e04zm.eval(); + handle = e04zm.getHANDLE(); + + long cpuser = 2; + int[] iuser = {1}; + double[] ruser = new double[1]; + ifail = -1; + MONIT monit = new MONIT(); + double[] x = new double[n], u = new double[nnzu]; + double[] rinfo = new double[100], stats = new double[100]; + System.out.println(); + System.out.println("++++++++++ Use the Primal-Dual algorithm ++++++++++"); + E04MT e04mt = new E04MT(handle,n,x,nnzu,u,rinfo,stats, + monit,iuser,ruser,cpuser,ifail); + e04mt.eval(); + System.out.println(); + System.out.println("++++++++++ Use the Self-Dual algorithm ++++++++++"); + e04zm.setOPTSTR("LPIPM Algorithm = Self-Dual"); + e04zm.eval(); + e04zm.setOPTSTR("LPIPM Stop Tolerance 2 = 1.0e-11"); + e04zm.eval(); + iuser[0] = 2; + e04mt.setIFAIL(-1); + e04mt.setHANDLE(e04zm.getHANDLE()); + e04mt.setIUSER(iuser); + e04mt.eval(); + + } + + public static class MONIT extends E04MT.Abstract_E04MT_MONIT { + + public void eval() { + + double tol = 1.2e-8; + + if (IUSER[0] == 1) { + if ((RINFO[4] < tol) && (RINFO[5] < tol) && (RINFO[6] < tol)) { + System.out.println("Iteration " + Integer.toString((int)STATS[0])); + System.out.printf(" monit() reports good approximate solution (tol = %5.2E):\n", tol); + } + } + else { + if ((RINFO[14] < tol) && (RINFO[15] < tol) && (RINFO[16] < tol) && (RINFO[17] < tol)) { + System.out.println("Iteration " + Integer.toString((int)STATS[0])); + System.out.printf(" monit() reports good approximate solution (tol = %5.2E):\n", tol); + } + } + + } + + } + +} diff --git a/simple_examples/int32/E04MXJE.java b/simple_examples/int32/E04MXJE.java new file mode 100644 index 0000000..642a933 --- /dev/null +++ b/simple_examples/int32/E04MXJE.java @@ -0,0 +1,292 @@ +import com.nag.routines.E04.E04MX; +import com.nag.routines.E04.E04NP; +import com.nag.routines.E04.E04NQ; +import com.nag.routines.E04.E04NS; +import com.nag.routines.E04.E04NT; +import com.nag.routines.X04.X04AC; +import com.nag.routines.X04.X04AD; +import java.util.Arrays; + +/** + * E04MX example program text. + */ +public class E04MXJE { + + public static void main(String[] args) { + + /* Parameters */ + int lencw = 600, leniw = 600, lenrw = 600, mpslst = 1, nin = 7, nout = 6; + boolean readints = false; + String fname = args[0]; + /* Local Scalars */ + double obj, objadd, sinf; + int i, ifail, iobj, lenc, lintvar, m, maxlintvar, maxm, maxn, maxncolh, + maxnnz, maxnnzh, minmax, mode, n, ncolh, ninf, nname, nnz, nnzh, ns; + boolean verboseOutput; + String start; + /* Local Arrays */ + double[] a, bl, bu, c, h, pi, rc, ruser, rw, x; + int[] helast, hs, iccola, iccolh, intvar, irowa, irowh, iuser, iw; + String[] crname, cw; + String[] cuser = new String[1], pnames = new String[5]; + cuser[0] = " "; + for (int j = 0; j < 5; j++) { + pnames[j] = " "; + } + + System.out.println(" E04MXJ Example Program Results"); + + // Initialize + for (int j = 0; j < 5; j++) { + pnames[j] = " "; + } + maxm = 0; + maxn = 0; + maxnnz = 0; + maxnnzh = 0; + maxncolh = 0; + maxlintvar = 0; + + // Open the data file for reading + X04AC x04ac = new X04AC(); + mode = 0; + ifail = 0; + x04ac.eval(nin, fname, mode, ifail); + + // Prep call to E04MX in query mode + E04MX e04mx = new E04MX(); + a = new double[1]; + irowa = new int[1]; + iccola = new int[1]; + bl = new double[1]; + bu = new double[1]; + crname = new String[]{" "}; + h = new double[1]; + irowh = new int[1]; + iccolh = new int[1]; + intvar = new int[1]; + ifail = 0; + + // Placeholders for output only scalars + n = 0; + m = 0; + nnz = 0; + ncolh = 0; + nnzh = 0; + lintvar = 0; + iobj = 0; + nname = 0; + minmax = 0; + + // Make call to E04MX + e04mx.eval(nin, maxn, maxm, maxnnz, maxncolh, maxnnzh, maxlintvar, + mpslst, n, m, nnz, ncolh, nnzh, lintvar, iobj, a, irowa, + iccola, bl, bu, pnames, nname, crname, h, irowh, iccolh, + minmax, intvar, ifail); + + // Get output scalar values + n = e04mx.getN(); + m = e04mx.getM(); + nnz = e04mx.getNNZ(); + ncolh = e04mx.getNCOLH(); + nnzh = e04mx.getNNZH(); + lintvar = e04mx.getLINTVAR(); + iobj = e04mx.getIOBJ(); + nname = e04mx.getNNAME(); + minmax = e04mx.getMINMAX(); + ifail = e04mx.getIFAIL(); + + // Close file + X04AD x04ad = new X04AD(); + ifail = 0; + x04ad.eval(nin, ifail); + + // Set maxm, maxn and maxnnz + maxm = m; + maxn = n; + maxnnz = nnz; + maxnnzh = nnzh; + maxncolh = ncolh; + maxlintvar = (readints) ? lintvar : 1; + + // Allocate memory + irowa = new int[maxnnz]; + iccola = new int[maxn + 1]; + a = new double[maxnnz]; + bl = new double[maxn + maxm]; + bu = new double[maxn + maxm]; + crname = new String[maxn + maxm]; + for (int j = 0; j < (maxn + maxm); j++) { + crname[j] = " "; + } + irowh = new int[maxnnzh]; + iccolh = new int[maxncolh + 1]; + h = new double[maxnnzh]; + intvar = new int[maxlintvar]; + + // Open the data file for reading + mode = 0; + ifail = 0; + x04ac.eval(nin, fname, mode, ifail); + + // Call E04MX to read the problem + ifail = 0; + e04mx.eval(nin, maxn, maxm, maxnnz, maxncolh, maxnnzh, maxlintvar, + mpslst, n, m, nnz, ncolh, nnzh, lintvar, iobj, a, irowa, + iccola, bl, bu, pnames, nname, crname, h, irowh, iccolh, + minmax, intvar, ifail); + n = e04mx.getN(); + m = e04mx.getM(); + nnz = e04mx.getNNZ(); + ncolh = e04mx.getNCOLH(); + nnzh = e04mx.getNNZH(); + lintvar = e04mx.getLINTVAR(); + iobj = e04mx.getIOBJ(); + nname = e04mx.getNNAME(); + minmax = e04mx.getMINMAX(); + ifail = e04mx.getIFAIL(); + + // Close the data file + ifail = 0; + x04ad.eval(nin, ifail); + + /* Data has been read. Set up and run the solver */ + + iw = new int[leniw]; + rw = new double[lenrw]; + cw = new String[lencw]; + for (int j = 0; j < lencw; j++) { + cw[j] = " "; + } + + // Call E04NP to initialize workspace + E04NP e04np = new E04NP(); + ifail = 0; + e04np.eval(cw, lencw, iw, leniw, rw, lenrw, ifail); + + // Call option setter E04NS to change the direction of optimization. + // Minimization is assumed by default. + E04NS e04ns = new E04NS(); + if (minmax == 1) { + ifail = 0; + e04ns.eval("Maximize", cw, iw, rw, ifail); + } + else if (minmax == 0) { + ifail = 0; + e04ns.eval("Feasible Point", cw, iw, rw, ifail); + } + + // Set this to TRUE to cause E04NQ to produce intermediate progress output + verboseOutput = false; + + if (verboseOutput) { + // By default E04NQ does not print monitoring information. Set the print + // file unit or the summary file unit to get information. + E04NT e04nt = new E04NT(); + ifail = 0; + e04nt.eval("Print file", nout, cw, iw, rw, ifail); + } + else { + System.out.printf(" \n Problem contains %3d variables and %3d linear constraints\n", n, m); + } + + // We have no explicit objective vector so set LENC = 0; the objective vector + // is stored in row IOBJ of ACOL. + lenc = 0; + objadd = 0.0; + start = "C"; + + c = new double[Math.max(1, lenc)]; + helast = new int[n + m]; + x = new double[n + m]; + pi = new double[m]; + rc = new double[n + m]; + hs = new int[n + m]; + iuser = new int[ncolh + 1 + nnzh]; + ruser = new double[nnzh]; + + if (ncolh > 0) { + // Store the non zeros of H in ruser for use by qphx + for (int j = 0; j < nnzh; j++) { + ruser[j] = h[j]; + } + // Store iccolh and irowh in iuser for use by qphx + for (int j = 0; j < ncolh + 1; j++) { + iuser[j] = iccolh[j]; + } + for (int j = 0; j < nnzh; j++) { + iuser[j + ncolh + 1] = irowh[j]; + } + + } + + // Call E04NQ to solve the problem + E04NQ e04nq = new E04NQ(); + QPHX qphx = new QPHX(); + ns = 0; + ninf = 0; + sinf = 0.0; + obj = 0.0; + ifail = 0; + e04nq.eval(start, qphx, m, n, nnz, nname, lenc, ncolh, iobj, objadd, + pnames[0], a, irowa, iccola, bl, bu, c, crname, helast, hs, + x, pi, rc, ns, ninf, sinf, obj, cw, lencw, iw, leniw, rw, + lenrw,cuser,iuser,ruser,ifail); + ns = e04nq.getNS(); + ninf = e04nq.getNINF(); + sinf = e04nq.getSINF(); + obj = e04nq.getOBJ(); + ifail = e04nq.getIFAIL(); + + if (!verboseOutput) { + System.out.println(); + System.out.printf(" Final objective value = %11.3E\n", obj); + System.out.printf(" Optimal X = \n"); + System.out.printf(" "); + for (int j = 0; j < n; j++) { + System.out.printf("%9.2f", x[j]); + } + System.out.printf("\n"); + } + + } + + public static class QPHX extends E04NQ.Abstract_E04NQ_QPHX { + + /** + * Subroutine to compute H*x. + * Note: IUSER and RUSER contain the following data: + * RUSER(1:NNZH) = H(1:NNZH) + * IUSER(1:NCOLH+1) = ICCOLH(1:NCOLH+1) + * IUSER(NCOLH+2:NNZH+NCOLH+1) = IROWH(1:NNZH) + */ + public void eval() { + /* Local Scalars */ + int end, icol, idx, irow, start; + + Arrays.fill(HX, 0.0); + + for (icol = 0; icol < this.NCOLH + 1; ++icol) { + + start = this.IUSER[icol] - 1; + end = IUSER[icol+1] - 2; + + for (idx = start; idx < end + 1; ++idx) { + + irow = this.IUSER[this.NCOLH + 1 + idx] - 1; + this.HX[irow] += this.X[icol] * this.RUSER[idx]; + + if (irow != icol) { + this.HX[icol] += this.X[irow] * this.RUSER[idx]; + } + + } + + } + + } + + } + + +} diff --git a/simple_examples/int32/E04NCJE.java b/simple_examples/int32/E04NCJE.java new file mode 100644 index 0000000..d6c3010 --- /dev/null +++ b/simple_examples/int32/E04NCJE.java @@ -0,0 +1,246 @@ +import static java.lang.Math.max; + +import com.nag.routines.E04.E04NC; +import com.nag.routines.E04.E04WB; +import com.nag.routines.F06.DGEMV; +import java.io.BufferedReader; +import java.io.FileReader; +import java.text.NumberFormat; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * E04NC example program text. + * @author ludovic + */ +public class E04NCJE { + + public static void main(String[] args) { + + double one = 1.0; + double zero = 0.0; + int inc1 = 1, lcwsav = 1, liwsav = 610, + llwsav = 120, lrwsav = 475, nin = 5, + nout = 6; + double obj; + int i, ifail, iter, lda, ldc, liwork, + lwork, m, n, nclin, sdc; + double[] a, b, bl, bu, c, + clamda, cvec, work, x; + double[] rwsav = new double[lrwsav]; + int[] istate, iwork, kx; + int[] iwsav = new int[liwsav]; + boolean[] lwsav = new boolean[llwsav]; + String[] cwsav = new String[lcwsav]; + + System.out.println(" E04NCJ Example Program Results"); + try { + + BufferedReader br = new BufferedReader(new FileReader(args[0])); + String line = br.readLine(); // read the header + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + String[] data = line.split("\\s+"); + m = Integer.parseInt(data[0]); + n = Integer.parseInt(data[1]); + nclin = Integer.parseInt(data[2]); + + liwork = n; + ldc = max(1,nclin); + lda = max(1,m); + + if (nclin > 0) { + sdc = n; + } + else { + sdc = 1; + } + + /* This particular example problem is of type LS1, so we allocate + * A(LDA,N), CVEC(1), B(M) and define LWORK as below + */ + if (nclin > 0) { + lwork = 2*n*n + 9*n + 6*nclin; + } + else { + lwork = 9*n; + } + + /* + * 2Ds arrays (size [n,m]) are stored in 1D arrays of size n*m, ordered by column + * ie: + * 1 1 1 + * 2 2 2 + * 3 3 3 + * + * is stored [1,2,3,1,2,3,1,2,3] + */ + istate = new int[n+nclin]; + kx = new int[n]; + iwork = new int[liwork]; + c = new double[ldc*sdc]; + bl = new double[n+nclin]; + bu = new double[n+nclin]; + cvec = new double[1]; + x = new double[n]; + a = new double[lda * n]; + b = new double[m]; + clamda = new double[n+nclin]; + work = new double[lwork]; + + /* + * Extra arrays to initialize: + */ + for (int ii = 0; ii < cwsav.length; ++ii) { + // 80 characters long... + cwsav[ii] + = " "; + } + + for (int ii = 0; ii < lda; ++ii) { + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int jj = 0; jj < n; ++jj) { + a[lda*jj+ii] = Double.parseDouble(data[jj]); + } + } + + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + + for (int ii = 0; ii < m; ++ii) { + b[ii] = Double.parseDouble(data[ii]); + } + + for (int ii = 0; ii < ldc; ++ii) { + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int jj = 0; jj < sdc; ++jj) { + c[ldc*jj+ii] = Double.parseDouble(data[jj]); + } + } + + //bl and bu to complicated to read properly -> hardcoded + line = br.readLine(); + line = br.readLine(); + bl[0] = 0.0; + bl[1] = 0.0; + bl[2] = -1.0E+25; + bl[3] = 0.0; + bl[4] = 0.0; + bl[5] = 0.0; + bl[6] = 0.0; + bl[7] = 0.0; + bl[8] = 0.0; + bl[9] = 2.0; + bl[10] = -1.0E+25; + bl[11] = 1.0; + + line = br.readLine(); + line = br.readLine(); + bu[0] = 2.0; + bu[1] = 2.0; + bu[2] = 2.0; + bu[3] = 2.0; + bu[4] = 2.0; + bu[5] = 2.0; + bu[6] = 2.0; + bu[7] = 2.0; + bu[8] = 2.0; + bu[9] = 1.0E+25; + bu[10] = 2.0; + bu[11] = 4.0; + + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int ii = 0; ii < n; ++ii) { + x[ii] = Double.parseDouble(data[ii]); + } + + // CALL TO E04WBF + ifail = 0; + String routname = "E04NCA"; + E04WB e04wb = new E04WB(routname, cwsav, lcwsav, lwsav, llwsav, iwsav, liwsav, rwsav, + lrwsav, ifail); + e04wb.eval(); + cwsav = e04wb.getCWSAV(); + iwsav = e04wb.getIWSAV(); + lwsav = e04wb.getLWSAV(); + rwsav = e04wb.getRWSAV(); + + // CALL TO E04NCF + ifail = -1; + + /* Java needs these to be initialized, so set it to an impossible value + * to trap possible error later */ + iter = Integer.MIN_VALUE; + obj = Double.NaN; + + E04NC e04nc = new E04NC(m,n,nclin,ldc,lda,c,bl,bu,cvec,istate,kx,x,a,b,iter,obj, + clamda,iwork,liwork,work,lwork,lwsav,iwsav,rwsav,ifail); + e04nc.eval(); + + // Getting ifail's value back + ifail = e04nc.getIFAIL(); + + switch (ifail) { + case 0: + case 1: + case 2: + case 3: + case 4: + case 5: + case 7: + System.out.println("\n Varbl Istate Value Lagr Mult\n"); + + for (i = 0; i < n; ++i) { + System.out.printf(" V %3d %3d %14.3E %12.3E\n",(i+1), istate[i],x[i], clamda[i]); + } + + if (nclin > 0) { + DGEMV dgemv = new DGEMV(); + dgemv.eval("N",nclin,n,one,c,ldc,x,inc1,zero,work,inc1); + System.out.println("\n\n L Con Istate Value Lagr Mult\n"); + for (int ii = 0; ii < nclin; ++ii) { + System.out.printf(" L %3d %3d %14.3E %12.3E\n", + ii+1,istate[ii+n],work[ii],clamda[ii+n]); + } + } + + System.out.printf("\n\n Final objective value = %15.3E\n",e04nc.getOBJ()); + break; + default: + if (ifail > 7) { + System.out.println(" Varbl Istate Value Lagr Mult"); + for (i = 0; i < n; ++i) { + System.out.printf(" V %3d %3d %14.3E %12.3E)\n",(i+1), istate[i],x[i], clamda[i]); + } + + if (nclin > 0) { + DGEMV dgemv = new DGEMV(); + dgemv.eval("N",nclin,n,one,c,ldc,x,inc1,zero,work,inc1); + System.out.println(" L Con Istate Value Lagr Mult"); + for (int ii = 0; ii < nclin; ++ii) { + System.out.printf(" L %3d %3d %14.3E %12.3E\n", + ii+1,istate[ii+n],work[ii],clamda[ii+n]); + } + } + + System.out.printf("Final objective value is: %15.7f\n",e04nc.getOBJ()); + } + else { + System.out.println("E04NC returned with IFAIL = "+e04nc.getIFAIL()); + } + } + } + catch (Exception ex) { + Logger.getLogger(E04NCJE.class.getName()).log(Level.SEVERE, null, ex); + } + + } + +} diff --git a/simple_examples/int32/E04NFJE.java b/simple_examples/int32/E04NFJE.java new file mode 100644 index 0000000..e341f9f --- /dev/null +++ b/simple_examples/int32/E04NFJE.java @@ -0,0 +1,234 @@ +import com.nag.routines.E04.E04NF; +import com.nag.routines.E04.E04NH; +import com.nag.routines.E04.E04WB; +import com.nag.routines.E04.E54NFU; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.text.NumberFormat; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * E04NF example program text. + */ +public class E04NFJE { + + public static void main(String[] args) { + + /* Local Scalars */ + double obj; + int i, ifail, iter, lda, ldh, liwork, lwork, n, nclin, sda; + /* Local Arrays */ + double[] a, ax, bl, bu, clamda, cvec, h, work, x; + int[] istate, iwork; + + try { + + System.out.println(" E04NFJ Example Program Results"); + + if (args.length == 0) { + System.err.println("You need to provide the path to the data file e04nfae.d"); + System.exit(-1); + } + + // Read data from file + DataFile datafile = new DataFile(args[0]); + datafile.read(); + + liwork = 2 * datafile.n + 3; + lda = Math.max(1, datafile.nclin); + + sda = (datafile.nclin > 0) ? datafile.n : 1; + + // This particular example problem is of type QP2 with H stored explicitly, + // so we allocate CVEC(N) and H(LDH,N), and define LDH and LWORK as below + ldh = datafile.n; + + if (datafile.nclin > 0) { + lwork = 2 * datafile.n * datafile.n + 8 * datafile.n + 5 * datafile.nclin; + } + else { + lwork = datafile.n * datafile.n + 8 * datafile.n; + } + + istate = new int[datafile.n + datafile.nclin]; + ax = new double[Math.max(1, datafile.nclin)]; + iwork = new int[liwork]; + // h, bl, bu, cvec, x, a: already read from data file + clamda = new double[datafile.n + datafile.nclin]; + work = new double[lwork]; + + // Init routine + E04WB e04wb = new E04WB(); + int lcwsav = 1, liwsav = 610, llwsav = 120, lrwsav = 475; + String[] cwsav = new String[lcwsav]; + cwsav[0] + = " "; + int[] iwsav = new int[liwsav]; + boolean[] lwsav = new boolean[llwsav]; + double[] rwsav = new double[lrwsav]; + ifail = 0; + e04wb.eval("E04NFA", cwsav, lcwsav, lwsav, llwsav, iwsav, liwsav, rwsav, lrwsav, ifail); + + // Set print level to match E04NFF example output + E04NH e04nh = new E04NH(); + int inform = 0; + e04nh.eval("Print Level = 10", lwsav, iwsav, rwsav, inform); + + // Solve the problem + E04NF e04nf = new E04NF(); + double[] ruser = new double[1]; + int[] iuser = new int[1]; + iter = 0; + obj = Double.NaN; + ifail = 0; + e04nf.eval(datafile.n, datafile.nclin, datafile.a, datafile.lda, datafile.bl, + datafile.bu, datafile.cvec, datafile.h, datafile.ldh, new QPHESS(), istate, + datafile.x, iter, obj, ax, clamda, iwork, liwork, work, lwork, + iuser, ruser, lwsav, iwsav, rwsav, ifail); + + ifail = e04nf.getIFAIL(); + + } + catch (Exception ex) { + Logger.getLogger(E04NFJE.class.getName()).log(Level.SEVERE, null, ex); + } + + } + + /** Using E54NFU as a default. */ + public static class QPHESS extends E54NFU implements E04NF.E04NF_QPHESS { + + public void eval() { + super.eval(); + } + + } + + public static class DataFile { + + public String filename; + public int n, nclin, lda, sda, ldh; + public double[] cvec, a, bl, bu, x, h; + + public DataFile(String filename) { + this.filename = filename; + } + + public void read() throws FileNotFoundException, IOException { + BufferedReader dataIn = new BufferedReader(new FileReader(filename)); + String line = dataIn.readLine(); // skipping header + line = dataIn.readLine().trim(); + String[] lines = line.split(":");//removing comments + String[] dataLine = lines[0].split("\\s+"); + if (dataLine.length != 2) { + System.err.println("Something went wrong when reading the data file" + + " - can't read n and nclin!"); + System.exit(1); + } + n = Integer.parseInt(dataLine[0]); + nclin = Integer.parseInt(dataLine[1]); + + lda = Math.max(1, nclin); + + if (nclin > 0) { + sda = n; + } + else { + sda = 1; + } + ldh = n; + + cvec = new double[n]; + a = new double[lda * sda]; + bl = new double[n + nclin]; + bu = new double[n + nclin]; + x = new double[n]; + h = new double[ldh * n]; + + //reading cvec + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for cvec"); + System.exit(1); + } + + for (int i = 0; i < n; ++i) { + cvec[i] = Double.parseDouble(dataLine[i].trim().replaceAll("D", "E")); + } + + //reading a + for (int i = 0; i < lda; ++i) { + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != sda) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for a"); + System.exit(1); + } + for (int j = 0; j < sda; ++j) { + a[i + j * lda] = Double.parseDouble(dataLine[j].trim().replaceAll("D", "E")); + } + } + + //reading bl + //it's on two lines in the data file, so we need to merge them + line = dataIn.readLine().trim().split(":")[0].trim() + " " + + dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n + nclin) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for bl"); + System.exit(1); + } + for (int i = 0; i < n + nclin; ++i) { + bl[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + //reading bu + //it's on two lines in the data file, so we need to merge them + line = dataIn.readLine().trim().split(":")[0].trim() + " " + + dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n + nclin) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for bu"); + System.exit(1); + } + for (int i = 0; i < n + nclin; ++i) { + bu[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for x"); + System.exit(1); + } + for (int i = 0; i < n; ++i) { + x[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + for (int i = 0; i < ldh; ++i) { + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for h at line " + i); + System.exit(1); + } + for (int j = 0; j < n; ++j) { + h[i + j * ldh] = Double.parseDouble(dataLine[j].replaceAll("D", "E")); + } + } + + + } + } + +} diff --git a/simple_examples/int32/E04NKJE.java b/simple_examples/int32/E04NKJE.java new file mode 100644 index 0000000..604ee66 --- /dev/null +++ b/simple_examples/int32/E04NKJE.java @@ -0,0 +1,295 @@ +import com.nag.routines.E04.E04NK; +import com.nag.routines.E04.E04WB; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * E04NKJ Example Program Text + * @author willa + * @since 27.1.0.0 + */ +public class E04NKJE{ + private static int lcwsav = 1; + private static int liwsav = 380; + private static int llwsav = 20; + private static int lrwsav = 285; + + /** + * E04NKJ Example main program. + */ + public static void main(String[] args){ + double obj, sinf; + int icol, ifail, iobj, jcol, leniz, lenz, m, miniz, minz, n, ncolh, ninf, nname, nnz, ns, i; + String start; + double[] a, bl, bu, clamda, xs, z, ruser, rwsav; + int[] ha, istate, iz, ka, iuser, iwsav; + boolean[] lwsav; + String[] crname, cwsav, names; + + System.out.println("E04NKJ Example Program Results"); + + ruser = new double[1]; + rwsav = new double[lrwsav]; + iuser = new int[1]; + iwsav = new int[liwsav]; + + cwsav = new String[lcwsav]; + //equivalent to ```Character (80) :: cwsav(lcwsav)``` + for(i = 0; i < lcwsav; i++){ + char[] chars = new char[80]; + Arrays.fill(chars, ' '); + cwsav[i] = new String(chars); + } + names = new String[5]; + //names all blank anyway this time + for(i = 0; i < 5; i++){ + char[] chars = new char[8]; + Arrays.fill(chars, ' '); + names[i] = new String(chars); + } + + //dummy arrays + crname = new String[0]; + + n = 7; + m = 8; + nnz = 48; + iobj = 8; + ncolh = 7; + start = "C"; + nname = 15; + + ha = new int[nnz]; + ka = new int[n + 1]; + istate = new int[n + m]; + a = new double[nnz]; + bl = new double[n + m]; + bu = new double[n + m]; + xs = new double[n + m]; + clamda = new double[n + m]; + crname = new String[nname]; + lwsav = new boolean[llwsav]; + + names[0] = " "; + names[1] = " "; + names[2] = " "; + names[3] = " "; + names[4] = " "; + + crname[0] = "...X1..."; + crname[1] = "...X2..."; + crname[2] = "...X3..."; + crname[3] = "...X4..."; + crname[4] = "...X5..."; + crname[5] = "...X6..."; + crname[6] = "...X7..."; + crname[7] = "..ROW1.."; + crname[8] = "..ROW2.."; + crname[9] = "..ROW3.."; + crname[10] = "..ROW4.."; + crname[11] = "..ROW5.."; + crname[12] = "..ROW6.."; + crname[13] = "..ROW7.."; + crname[14] = "..COST.."; + + //Matrix A. Set up KA + jcol = 1; + ka[0] = 1; + + a[0] = 0.02; ha[0] = 7; + a[1] = 0.02; ha[1] = 5; + a[2] = 0.03; ha[2] = 3; + a[3] = 1.00; ha[3] = 1; + a[4] = 0.70; ha[4] = 6; + a[5] = 0.02; ha[5] = 4; + a[6] = 0.15; ha[6] = 2; + a[7] = -200.00; ha[7] = 8; + a[8] = 0.06; ha[8] = 7; + a[9] = 0.75; ha[9] = 6; + a[10] = 0.03; ha[10] = 5; + a[11] = 0.04; ha[11] = 4; + a[12] = 0.05; ha[12] = 3; + a[13] = 0.04; ha[13] = 2; + a[14] = 1.00; ha[14] = 1; + a[15] = -2000.00; ha[15] = 8; + a[16] = 0.02; ha[16] = 2; + a[17] = 1.00; ha[17] = 1; + a[18] = 0.01; ha[18] = 4; + a[19] = 0.08; ha[19] = 3; + a[20] = 0.08; ha[20] = 7; + a[21] = 0.80; ha[21] = 6; + a[22] = -2000.00; ha[22] = 8; + a[23] = 1.00; ha[23] = 1; + a[24] = 0.12; ha[24] = 7; + a[25] = 0.02; ha[25] = 3; + a[26] = 0.02; ha[26] = 4; + a[27] = 0.75; ha[27] = 6; + a[28] = 0.04; ha[28] = 2; + a[29] = -2000.00; ha[29] = 8; + a[30] = 0.01; ha[30] = 5; + a[31] = 0.80; ha[31] = 6; + a[32] = 0.02; ha[32] = 7; + a[33] = 1.00; ha[33] = 1; + a[34] = 0.02; ha[34] = 2; + a[35] = 0.06; ha[35] = 3; + a[36] = 0.02; ha[36] = 4; + a[37] = -2000.00; ha[37] = 8; + a[38] = 1.00; ha[38] = 1; + a[39] = 0.01; ha[39] = 2; + a[40] = 0.01; ha[40] = 3; + a[41] = 0.97; ha[41] = 6; + a[42] = 0.01; ha[42] = 7; + a[43] = 400.00; ha[43] = 8; + a[44] = 0.97; ha[44] = 7; + a[45] = 0.03; ha[45] = 2; + a[46] = 1.00; ha[46] = 1; + a[47] = 400.00; ha[47] = 8; + + ka[1] = 9; + ka[2] = 17; + ka[3] = 24; + ka[4] = 31; + ka[5] = 39; + ka[6] = 45; + ka[7] = 49; + + bl[0] = 0.0; + bl[1] = 0.0; + bl[2] = 4.0e2; + bl[3] = 1.0e2; + bl[4] = 0.0; + bl[5] = 0.0; + bl[6] = 0.0; + bl[7] = 2.0e3; + bl[8] = -1.0e25; + bl[9] = -1.0e25; + bl[10] = -1.0e25; + bl[11] = -1.0e25; + bl[12] = 1.5e3; + bl[13] = 2.5e2; + bl[14] = -1.0e25; + + bu[0] = 2.0e2; + bu[1] = 2.5e3; + bu[2] = 8.0e2; + bu[3] = 7.0e2; + bu[4] = 1.5e3; + bu[5] = 1.0e25; + bu[6] = 1.0e25; + bu[7] = 2.0e3; + bu[8] = 6.0e1; + bu[9] = 1.0e2; + bu[10] = 4.0e1; + bu[11] = 3.0e1; + bu[12] = 1.0e25; + bu[13] = 3.0e2; + bu[14] = 1.0e25; + + istate[0] = 0; + istate[1] = 0; + istate[2] = 0; + istate[3] = 0; + istate[4] = 0; + istate[5] = 0; + istate[6] = 0; + istate[7] = 0; + + xs[0] = 0.0; + xs[1] = 0.0; + xs[2] = 0.0; + xs[3] = 0.0; + xs[4] = 0.0; + xs[5] = 0.0; + xs[6] = 0.0; + xs[7] = 0.0; + + ifail = 0; + E04WB e04wb = new E04WB("E04NKA",cwsav,lcwsav,lwsav,llwsav,iwsav,liwsav,rwsav, + lrwsav,ifail); + e04wb.eval(); + + leniz = 1; + lenz = 1; + iz = new int[leniz]; + z = new double[lenz]; + + QPHX qphx = new QPHX(); + + ifail = 1; + + //placeholders + ns = 0; + miniz = 0; + minz = 0; + ninf = 0; + sinf = 0.0; + obj = 0.0; + + E04NK e04nk = new E04NK(n,m,nnz,iobj,ncolh,qphx,a,ha,ka,bl,bu,start,names,nname, + crname,ns,xs,istate,miniz,minz,ninf,sinf,obj,clamda,iz, + leniz,z,lenz,iuser,ruser,lwsav,iwsav,rwsav,ifail); + e04nk.eval(); + ifail = e04nk.getIFAIL(); + + minz = e04nk.getMINZ(); + miniz = e04nk.getMINIZ(); + + lenz = minz; + leniz = miniz; + + iz = new int[leniz]; + z = new double[lenz]; + + ifail = -1; + + e04nk.eval(n,m,nnz,iobj,ncolh,qphx,a,ha,ka,bl,bu,start,names,nname,crname,ns,xs, + istate,miniz,minz,ninf,sinf,obj,clamda,iz,leniz,z,lenz,iuser,ruser, + lwsav,iwsav,rwsav,ifail); + + //update + ifail = e04nk.getIFAIL(); + obj = e04nk.getOBJ(); + + if(ifail == 0){ + System.out.println(); + System.out.println("\tVariable Istate Value Lagr Mult"); + System.out.println(); + + for(i = 0; i < n; i++){ + System.out.printf("\t%s\t%d\t%.6g\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); + } + + if(m > 0){ + System.out.println(); + System.out.println(); + System.out.println("\tConstrnt Istate Value\t\t Lagr Mult"); + System.out.println(); + + for(i = n; i < n + m - 1; i++){ + System.out.printf("\t%s\t%d\t%.6g\t\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); + } + System.out.printf("\t%s\t%d\t%.6g\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); + } + + System.out.println(); + System.out.println(); + System.out.printf("Final objetive value = %15.7g\n", obj); + } + + } + + public static class QPHX extends E04NK.Abstract_E04NK_QPHX{ + public void eval(){ + this.HX[0] = 2 * this.X[0]; + this.HX[1] = 2 * this.X[1]; + this.HX[2] = 2 * (this.X[2] + this.X[3]); + this.HX[3] = this.HX[2]; + this.HX[4] = 2 * this.X[4]; + this.HX[5] = 2 * (this.X[5] + this.X[6]); + this.HX[6] = this.HX[5]; + } + } +} diff --git a/simple_examples/int32/E04NQJE.java b/simple_examples/int32/E04NQJE.java new file mode 100644 index 0000000..6cf84fe --- /dev/null +++ b/simple_examples/int32/E04NQJE.java @@ -0,0 +1,384 @@ +import com.nag.routines.E04.E04NP; +import com.nag.routines.E04.E04NQ; +import com.nag.routines.E04.E04NT; +import java.io.BufferedReader; +import java.io.File; +import java.io.FileReader; +import java.io.IOException; +import java.util.Arrays; + +/** + * E04NQ example program text. + */ +public class E04NQJE { + + public static final int LENCW = 600; + public static final int LENIW = 600; + public static final int LENRW = 600; + public static final int NIN = 5; + public static final int NOUT = 6; + + public static void main(String[] args) throws IOException { + + /* Local Scalars */ + double obj, objadd, sinf; + int i, icol, ifail, iobj, jcol, lenc, m, n, ncolh, ne, ninf, nname, ns; + boolean verboseOutput; + String prob; // Length = 8 + String start; // Length = 1 + /* Local Arrays */ + double[] acol, bl, bu, c, pi, rc, x; + double[] ruser = new double[1], rw = new double[LENRW]; + int[] helast, hs, inda, loca; + int[] iuser = new int[1], iw = new int[LENIW]; + String[] cuser = new String[1], cw = new String[LENCW]; // Length = 8 + String[] names; // Length = 8 + /* Init String arrays with same length*/ + Arrays.fill(cuser, " "); + Arrays.fill(cw, " "); + + System.out.println(" E04NQJ Example Program Results"); + + /* Read data file */ + + if (args.length != 1) { + usage(); + } + BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); + String line; + + // Skip heading in data file + line = dataIn.readLine(); + + // Read n, m + line = dataIn.readLine(); + String[] data = line.split(":")[0].trim().split("\\s+"); + if (data.length != 2) { + System.out.println("Data file badly formatted - expected 2 ints separated by blank spaces.\n" + + line + "\n"+Arrays.toString(data)); + System.exit(1); + } + n = Integer.parseInt(data[0]); + m = Integer.parseInt(data[1]); + + // Read ne, iobj, ncolh, start, nname + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + if (data.length != 5) { + System.out.println("Data file badly formatted - expected 5 ints separated by blank spaces"); + System.exit(1); + } + ne = Integer.parseInt(data[0]); + iobj = Integer.parseInt(data[1]); + ncolh = Integer.parseInt(data[2]); + start = data[3].replaceAll("'",""); + nname = Integer.parseInt(data[4]); + + // Allocate + inda = new int[ne]; + loca = new int[n+1]; + helast = new int[n+m]; + hs = new int[n+m]; + acol = new double[ne]; + bl = new double[n+m]; + bu = new double[n+m]; + x = new double[n+m]; + pi = new double[m]; + rc = new double[n+m]; + names = new String[nname]; + + // Read names + line = dataIn.readLine(); // skipping blank line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + int nameIndex = 0; + int dataIndex = 0; + while (nameIndex < nname) { + names[nameIndex] = data[dataIndex].replaceAll("'", ""); + ++nameIndex; + ++dataIndex; + if (nameIndex < nname && dataIndex == data.length) { + //need to read one more line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + dataIndex = 0; + } + } + + // Read matrix + line = dataIn.readLine(); // skipping blank line + int locaIndex = 0; + int currentCol = 0; + for (i = 0; i < ne; ++i) { + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + if (data.length != 3) { + System.out.println("The line is not well formatted for input of A:\n\t"+line); + System.exit(1); + } + acol[i] = Double.parseDouble(data[0].replaceAll("d", "e").replaceAll("D", "e")); + inda[i] = Integer.parseInt(data[1]); + if (i == 0) { + loca[locaIndex] = 1;//storing for Fortran use: 1-based + ++locaIndex; + ++currentCol; + } + else { + int tmp = Integer.parseInt(data[2]); + if (tmp != currentCol) { + loca[locaIndex] = i+1; + ++currentCol; + ++locaIndex; + } + } + } + loca[n] = ne + 1; + + // Read bl + line = dataIn.readLine(); // skipping blank line + int blindex = 0; + dataIndex = 0; + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + while (blindex < bl.length) { + bl[blindex] = Double.parseDouble(data[dataIndex].replaceAll("d", "e").replaceAll("D", "e")); + ++blindex; + ++dataIndex; + if (blindex < bl.length && dataIndex == data.length) { + //need to read one more line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + dataIndex = 0; + } + } + + // Read bu + line = dataIn.readLine(); // skipping blank line + int buindex = 0; + dataIndex = 0; + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + while (buindex < bu.length) { + bu[buindex] = Double.parseDouble(data[dataIndex].replaceAll("d", "e").replaceAll("D", "e")); + ++buindex; + ++dataIndex; + if (buindex < bu.length && dataIndex == data.length) { + //need to read one more line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + dataIndex = 0; + } + } + + // Read hs + line = dataIn.readLine(); // skipping blank line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + if (start.equalsIgnoreCase("C")) { + if (data.length != n) { + System.out.println("Wrong format for HS data.\n"); + System.exit(1); + } + } + else { + if (data.length != n+m) { + System.out.println("Wrong format for HS data.\n"); + System.exit(1); + } + } + for (i = 0; i < data.length; ++i) { + hs[i] = Integer.parseInt(data[i]); + } + + // Read x + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + if (data.length != n) { + System.out.println("Wrong format for X data."); + System.exit(1); + } + for (i = 0; i < data.length; ++i) { + x[i] = Double.parseDouble(data[i].replaceAll("d", "e").replaceAll("D", "e")); + } + + /* Done reading data file */ + + System.out.printf(" \n QP problem contains %3d variables and %3d linear constraints\n", n, m); + + /* Call E04NP to initialize E04NQ. */ + E04NP e04np = new E04NP(); + ifail = 0; + e04np.eval(cw,LENCW,iw,LENIW,rw,LENRW,ifail); + + /* Set this to .True. to cause e04nqf to produce intermediate + * progress output. */ + verboseOutput = true; + + if (verboseOutput) { + /* By default e04nqf does not print monitoring + * information. Set the print file unit or the summary + * file unit to get information. */ + E04NT e04nt = new E04NT(); + ifail = 0; + e04nt.eval("Print file", NOUT, cw, iw, rw, ifail); + } + + /* We have no explicit objective vector so set LENC = 0; the + * objective vector is stored in row IOBJ of ACOL. */ + lenc = 0; + c = new double[Math.max(1,lenc)]; + objadd = 0.0; + sinf = 0.0; + obj = Double.NaN; + prob = " "; + + /* Do not allow any elastic variables (i.e. they cannot be + * infeasible). If we'd set optional argument "Elastic mode" to 0, + * we wouldn't need to set the individual elements of array HELAST. */ + + for (int j = 0; j < (n+m); j++) { + helast[j] = 0; + } + + /* Solve the QP problem. */ + + E04NQ e04nq = new E04NQ(); + ifail = 0; + ns = 0; + ninf = 0; + e04nq.eval(start,new QPHX(ncolh),m,n,ne,nname,lenc,ncolh,iobj,objadd,prob,acol, + inda,loca,bl,bu,c,names,helast,hs,x,pi,rc,ns,ninf,sinf,obj,cw,LENCW, + iw,LENIW,rw,LENRW,cuser,iuser,ruser,ifail); + + System.out.println(); + System.out.printf(" Final objective value = %11.3E\n",e04nq.getOBJ()); + System.out.print(" Optimal X = "); + for (i = 0; i < n; ++i) { + System.out.printf("%9.2f ", x[i]); + } + System.out.println(); + + } + + private static void usage() { + System.out.println("Usage:\n" + + "\tjava -cp " + File.separator + "NAGJava.jar" + File.pathSeparator + + ". E04NQJE " + File.separator + "e04nqfe.d"); + System.exit(1); + } + + public static class QPHX implements E04NQ.E04NQ_QPHX { + + private int NCOLHREF; + + public QPHX(int NCOLHREF) { + this.NCOLHREF = NCOLHREF; + } + + // @Override + public void eval(int NCOLH, double[] X, double[] HX, int NSTATE, + String[] CUSER, int[] IUSER, double[] RUSER) { + + if (NCOLH != NCOLHREF) { + System.out.println("NCOLH value is wrong!"); + System.out.println("TEST FAILED"); + System.exit(1); + } + HX[0] = 2.0*X[0]; + HX[1] = 2.0*X[1]; + HX[2] = 2.0*(X[2]+X[3]); + HX[3] = HX[2]; + HX[4] = 2.0*X[4]; + HX[5] = 2.0*(X[5]+X[6]); + HX[6] = HX[5]; + + } + + private String[] CUSER; + private double[] HX,RUSER,X; + private int[] IUSER; + private int NCOLH, NSTATE; + + // @Override + public String[] getCUSER() { + return CUSER; + } + + // @Override + public double[] getHX() { + return HX; + } + + // @Override + public int[] getIUSER() { + return IUSER; + } + + // @Override + public int getNCOLH() { + return NCOLH; + } + + // @Override + public int getNSTATE() { + return NSTATE; + } + + // @Override + public double[] getRUSER() { + return RUSER; + } + + // @Override + public double[] getX() { + return X; + } + + // @Override + public void setCUSER(String[] arg0) { + CUSER = arg0; + + } + + // @Override + public void setHX(double[] arg0) { + HX = arg0; + + } + + // @Override + public void setIUSER(int[] arg0) { + IUSER = arg0; + + } + + // @Override + public void setNCOLH(int arg0) { + NCOLH = arg0; + + } + + // @Override + public void setNSTATE(int arg0) { + NSTATE = arg0; + + } + + // @Override + public void setRUSER(double[] arg0) { + RUSER = arg0; + + } + + // @Override + public void setX(double[] arg0) { + X = arg0; + + } + + } + + + + +} diff --git a/simple_examples/int32/E04PTJE.java b/simple_examples/int32/E04PTJE.java new file mode 100644 index 0000000..75303ac --- /dev/null +++ b/simple_examples/int32/E04PTJE.java @@ -0,0 +1,344 @@ +import com.nag.routines.E04.E04PT; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RB; +import com.nag.routines.E04.E04RE; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RJ; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.F08.DSYEVD; +import java.util.Arrays; + +/** + * E04PTJ example program text. + * @author joed + * @since 27.0.0.0 + */ +public class E04PTJE { + + + /** + * Monitoring function can be used to monitor the progress + * or, for example, to implement bespoke stopping criteria. + */ + private static class MONIT extends E04PT.Abstract_E04PT_MONIT { + + public void eval() { + + double tol = RUSER[0]; + int tolReached = IUSER[1]; + + // If x is close to the solution, print a message + if ((RINFO[14] < tol) && (RINFO[15] < tol) && (RINFO[16] < tol) && (RINFO[17] < tol)) { + if (tolReached == 0) { + System.out.println(); + System.out.printf("monit() reports good approximate solution (tol = %9.2E)\n", tol); + IUSER[1] = 1; + } + } + + } + + } + + + /** + * E04PTJ example main program. + */ + public static void main(String[] args) { + + DSYEVD dsyevd = new DSYEVD(); + E04PT e04pt = new E04PT(); + E04RA e04ra = new E04RA(); + E04RB e04rb = new E04RB(); + E04RE e04re = new E04RE(); + E04RH e04rh = new E04RH(); + E04RJ e04rj = new E04RJ(); + E04RZ e04rz = new E04RZ(); + E04ZM e04zm = new E04ZM(); + MONIT monit = new MONIT(); + + final int nqc = 1; + long cpuser, handle; + double r1; + int i, idgroup, idlc, idxa, ifail, j, liwork, lwork, m, n, na, nnza, nnzp0, + nnzp1, nnzu, nnzuc, nu, nv, nvarc1, nvarc2, rptr, xIdx; + boolean verboseOutput; + String ctype1, ctype2; // Length must be 8 + double[] a, bla, bua, c, f0, f1, lambda0, lambda1, p0, p1, q0, q1, u, uc, + work, x, xl, xu; + double[] rinfo = new double[100], ruser = new double[1], stats = new double[100]; + int[] icola, icolp0, icolp1, idxc1, idxc2, irowa, irowp0, irowp1, iwork; + int[] iuser = new int[2]; + + System.out.println("E04PTJ Example Program Results\n"); + + // Dimensions of the problem + n = 3; + nnzp0 = 6; + nnzp1 = 6; + + // Initialize size of linear constraints in SOCP + m = nqc; + na = n + nqc + 1; + nnza = nqc + n; + + // Initialize size of cone constraints + nvarc1 = 2; + nvarc2 = 2; + + // Set problem data + lwork = Math.max(2*n*n+6*n+1, 120+9*n); + liwork = 5*n + 3; + irowp0 = new int[]{1, 2, 3, 2, 3, 3}; + icolp0 = new int[]{1, 1, 1, 2, 2, 3}; + p0 = new double[]{0.493, 0.382, 0.270, 0.475, 0.448, 0.515}; + irowp1 = new int[]{1, 2, 3, 2, 3, 3}; + icolp1 = new int[]{1, 1, 1, 2, 2, 3}; + p1 = new double[]{0.737, 0.453, 1.002, 0.316, 0.635, 1.590}; + q0 = new double[]{0.847, 0.08, 0.505}; + q1 = new double[]{0.065, 0.428, 0.097}; + r1 = 1.276; + f0 = new double[n*n]; + f1 = new double[n*n]; + lambda0 = new double[n]; + lambda1 = new double[n]; + work = new double[lwork]; + iwork = new int[liwork]; + + // Store full P0 and P1 in F0 and F1 + Arrays.fill(f0, 0.0); + for (i = 0; i < nnzp0; i++) { + f0[getIdx(irowp0[i], icolp0[i], n)] = p0[i]; + } + Arrays.fill(f1, 0.0); + for (i = 0; i < nnzp1; i++) { + f1[getIdx(irowp1[i], icolp1[i], n)] = p1[i]; + } + + // Factorize P0 and P1 via eigenvalue decomposition + ifail = 0; + dsyevd.eval("V", "L", n, f0, n, lambda0, work, lwork, iwork, liwork, ifail); + dsyevd.eval("V", "L", n, f1, n, lambda1, work, lwork, iwork, liwork, ifail); + + // Fomulate F0 and F1 in P0 = F0'*F0, P1 = F1'*F1 + nu = 0; + nv = 0; + for (i = 1; i <= n; i++) { + if (lambda0[i-1] > 0) { + for (j = 1; j <= n; j++) { + f0[getIdx(j,i,n)] *= Math.sqrt(lambda0[i-1]); + } + m++; + nu++; + nnza += n; + } + if (lambda1[i-1] > 0) { + for (j = 1; j <= n; j++) { + f1[getIdx(j,i,n)] *= Math.sqrt(lambda1[i-1]); + } + m++; + nv++; + nnza += n; + } + } + nnza += nu + nv; + na += nu+ nv; + nvarc1 += nu; + nvarc2 += nv; + + // Add two fixed variable for two rotated quadratic cones + na += 2; + m += 2; + nnza += 2; + + // Compute size of multipliers + nnzu = 2*na + 2*m; + nnzuc = nvarc1 + nvarc2; + + // Initialize arrays to build SOCP + icola = new int[nnza]; + irowa = new int[nnza]; + a = new double[nnza]; + bla = new double[m]; + bua = new double[m]; + xl = new double[na]; + xu = new double[na]; + c = new double[na]; + x = new double[na]; + u = new double[nnzu]; + uc = new double[nnzuc]; + idxc1 = new int[nvarc1]; + idxc2 = new int[nvarc2]; + + // Build objective function parameter c + // [x, t1, u, v, y1, y2, t0] + Arrays.fill(c, 0.0); + for (j = 0; j < n; j++) { + c[j] = q0[j]; + } + c[na-1] = 1.0; + + // Build linear constraints parameter A + idxa = 0; + rptr = 0; + // q1 in First row + rptr++; + Arrays.fill(irowa, 0, n, rptr); + for (j = 0; j < n; j++) { + icola[j] = j+1; + a[j] = q1[j]; + } + idxa += n; + + // F0 in F0*x-u=0 row + for (i = 1; i <= n; i++) { + if (lambda0[i-1] > 0) { + rptr += 1; + for (j = 0; j < n; j++) { + irowa[idxa+j] = rptr; + icola[idxa+j] = j+1; + a[idxa+j] = f0[getIdx(j+1,i,n)]; + } + idxa += n; + } + } + // F1 in F1*x-v=0 row + for (i = 1; i <= n; i++) { + if (lambda1[i-1] > 0) { + rptr += 1; + for (j = 0; j < n; j++) { + irowa[idxa+j] = rptr; + icola[idxa+j] = j+1; + a[idxa+j] = f1[getIdx(j+1,i,n)]; + } + idxa += n; + } + } + // Rest of A, a diagonal matrix + for (j = 0; j < m; j++) { + irowa[idxa+j] = j+1; + icola[idxa+j] = n+j+1; + a[idxa+j] = 1.0; + } + for (j = 1; j < (nu+nv+1); j++) { + a[idxa+j] = -1.0; + } + // RHS in linear constraints + Arrays.fill(bla, 0.0); + Arrays.fill(bua, 0.0); + bla[0] = -r1; + bua[0] = -r1; + for (j = (m-nqc); j <= m; j++) { + bla[j-1] = 1.0; + bua[j-1] = 1.0; + } + + // Box constraints, all variables are free + Arrays.fill(xl, -1E+20); + Arrays.fill(xu, 1E+20); + + // Cone constraints + // First cone + idxc1[0] = na; + idxc1[1] = n + 1 + nu + nv + 1; + for (j = 2; j < nvarc1; j++) { + idxc1[j] = n + j; + } + ctype1 = "RQUAD "; + // Second cone + idxc2[0] = n + 1; + idxc2[1] = n + 1 + nu + nv + 2; + for (j = 2; j < nvarc2; j++) { + idxc2[j] = n + nu + j; + } + ctype2 = "RQUAD "; + + // Create the problem handle + handle = 0; + ifail = 0; + e04ra.eval(handle, na, ifail); + handle = e04ra.getHANDLE(); + + // Set objective function + ifail = 0; + e04re.eval(handle, na, c, ifail); + + // Set box constraints + ifail = 0; + e04rh.eval(handle, na, xl, xu, ifail); + + // Set linear constraints + ifail = 0; + idlc = 0; + e04rj.eval(handle, m, bla, bua, nnza, irowa, icola, a, idlc, ifail); + idlc = e04rj.getIDLC(); + + // Set first cone constraint + ifail = 0; + idgroup = 0; + e04rb.eval(handle, ctype1, nvarc1, idxc1, idgroup, ifail); + idgroup = e04rb.getIDGROUP(); + + // Set first cone constraint + ifail = 0; + idgroup = 0; + e04rb.eval(handle, ctype2, nvarc2, idxc2, idgroup, ifail); + idgroup = e04rb.getIDGROUP(); + + // Turn on monitoring + ifail = 0; + e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); + + /* Set this to true to cause e04pt to produce intermediate + * progress output */ + verboseOutput = false; + + if (verboseOutput) { + // Require printing of primal and dual solutions at the end of the solve + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + } + else { + // Turn off printing of intermediate progress output + ifail = 0; + e04zm.eval(handle, "Print Level = 1", ifail); + } + + // Call SOCP interior point solver + cpuser = 0; + iuser[0] = 0; // unused in this example + iuser[1] = 0; + ruser[0] = 1.0E-7; + ifail = -1; + e04pt.eval(handle, na, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, + ruser, cpuser, ifail); + ifail = e04pt.getIFAIL(); + + // Print solution if optimal or suboptimal solution found + if (ifail == 0 || ifail == 50) { + System.out.println(" Optimal X:"); + System.out.println(" x_idx Value "); + for (xIdx = 1; xIdx <= n; xIdx++) { + System.out.printf(" %5d %11.3E\n", xIdx, x[xIdx-1]); + } + } + + // Free the handle memory + ifail = 0; + e04rz.eval(handle, ifail); + + } + + + /** + * Convert from 2D Fortran index to 1D-column major Java index. + * @param x 1-based row index for a 2D array + * @param y 1-based column index for a 2D array + * @return the corresponding 0-based index for a 1D column-major array + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + +} diff --git a/simple_examples/int32/E04RPJE.java b/simple_examples/int32/E04RPJE.java new file mode 100644 index 0000000..d22d3d1 --- /dev/null +++ b/simple_examples/int32/E04RPJE.java @@ -0,0 +1,199 @@ +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RE; +import com.nag.routines.E04.E04RN; +import com.nag.routines.E04.E04RP; +import com.nag.routines.E04.E04RY; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04SV; + +/** + * E04RPJ Example Program Text + * @author willa + * @since 27.1.0.0 + */ + +public class E04RPJE{ + + /** + * E04RPJ Example main program + */ + public static void main(String[] args){ + int blkidx, dimaq, idblk, idlc, idx, idxend, ifail, inform, midx, nblk, nclin, + nnzasum, nnzb, nnzc, nnzh, nnzqsum, nnzu, nnzua, nnzuc, nq, nvar; + double[] a, b, bl, bu, cvec, h, q, x, rdummy, rinfo, stats; + int[] icola, icolb, icolh, icolq, idxc, irowa, irowb, irowh, irowq, nnza, + nnzq, qi, qj, idummy; + long cpuser, handle; + + rdummy = new double[1]; + rinfo = new double[32]; + stats = new double[32]; + idummy = new int[1]; + + System.out.println("E04RPJ Example Program Results"); + System.out.println(); + + //Problem size + nvar = 5; + nnzh = 0; + nclin = 0; + nnzb = 0; + nblk = 2; + + //Initialize handle to an empty problem + E04RA e04ra = new E04RA(); + handle = 0; + ifail = 0; + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + //Linear part of the objective function + cvec = new double[nvar]; + cvec[0] = 1; + cvec[1] = 0; + cvec[2] = 1; + cvec[3] = 0; + cvec[4] = 0; + + //Add the linear objetive function to the problem formulation + ifail = 0; + E04RE e04re = new E04RE(handle, nvar, cvec, ifail); + e04re.eval(); + + //Matrix inequalities + //block 1 + dimaq = 2; + nnzasum = 9; nnzqsum = 8; + idblk = 0; + + nnza = new int[nvar + 1]; + irowa = new int[nnzasum]; + icola = new int[nnzasum]; + a = new double[nnzasum]; + + nnza[0] = 2; + nnza[1] = 2; + nnza[2] = 3; + nnza[3] = 2; + nnza[4] = 0; + nnza[5] = 0; + + a[0] = 1.0; irowa[0] = 1; icola[0] = 1; + a[1] = 1.0; irowa[1] = 2; icola[1] = 2; + a[2] = 2.0; irowa[2] = 1; icola[2] = 1; + a[3] = -2.0; irowa[3] = 1; icola[3] = 2; + a[4] = 6.0; irowa[4] = 1; icola[4] = 1; + a[5] = 5.0; irowa[5] = 1; icola[5] = 2; + a[6] = -4.0; irowa[6] = 2; icola[6] = 2; + a[7] = 3.0; irowa[7] = 1; icola[7] = 2; + a[8] = 8.0; irowa[8] = 2; icola[8] = 2; + + idblk = 0; + ifail = 0; + //Add the linear matrix inequality to the problem formulation + E04RN e04rn = new E04RN(handle,nvar,dimaq,nnza,nnzasum,irowa,icola,a,1, + idummy,idblk,ifail); + e04rn.eval(); + //update + idblk = e04rn.getIDBLK(); + + nq = 6; + + qi = new int[nq]; + qj = new int[nq]; + nnzq = new int[nq]; + irowq = new int[nnzqsum]; + icolq = new int[nnzqsum]; + q = new double[nnzqsum]; + + qi[0] = 1; qj[0] = 4; + qi[1] = 2; qj[1] = 4; + qi[2] = 3; qj[2] = 4; + qi[3] = 1; qj[3] = 5; + qi[4] = 2; qj[4] = 5; + qi[5] = 3; qj[5] = 5; + + nnzq[0] = 1; + nnzq[1] = 2; + nnzq[2] = 1; + nnzq[3] = 1; + nnzq[4] = 2; + nnzq[5] = 1; + + q[0] = 2.0; irowq[0] = 1; icolq[0] = 1; + q[1] = 2.0; irowq[1] = 1; icolq[1] = 1; + q[2] = 1.0; irowq[2] = 1; icolq[2] = 2; + q[3] = 1.0; irowq[3] = 1; icolq[3] = 2; + q[4] = 1.0; irowq[4] = 1; icolq[4] = 2; + q[5] = 1.0; irowq[5] = 1; icolq[5] = 2; + q[6] = 2.0; irowq[6] = 2; icolq[6] = 2; + q[7] = 2.0; irowq[7] = 2; icolq[7] = 2; + + ifail = 0; + //Expand the existing linear matrix inequality with bilnear term + E04RP e04rp = new E04RP(handle,nq,qi,qj,dimaq,nnzq,nnzqsum,irowq,icolq, + q,idblk,ifail); + e04rp.eval(); + + //block 2 + dimaq = 2; + nnzasum = 5; + nnza = new int[nvar + 1]; + irowa = new int[nnzasum]; + icola = new int[nnzasum]; + a = new double[nnzasum]; + + nnza[0] = 2; + nnza[1] = 1; + nnza[2] = 1; + nnza[3] = 1; + nnza[4] = 0; + nnza[5] = 0; + + a[0] = 1.0; irowa[0] = 1; icola[0] = 1; + a[1] = 1.0; irowa[1] = 2; icola[1] = 2; + a[2] = 1.0; irowa[2] = 1; icola[2] = 1; + a[3] = 1.0; irowa[3] = 1; icola[3] = 2; + a[4] = 1.0; irowa[4] = 2; icola[4] = 2; + + idblk = 0; + ifail = 0; + //Add the linear matrix inequality to the problem formulation + e04rn = new E04RN(handle,nvar,dimaq,nnza,nnzasum,irowa,icola,a,1, + idummy,idblk,ifail); + e04rn.eval(); + + System.out.println("Passing SDP problem to solver"); + System.out.println(); + + ifail = 0; + //Print overview of handle + //nout = 6 is default output for fortran + E04RY e04ry = new E04RY(handle,6,"Overview,Matrix Constraints",ifail); + e04ry.eval(); + + //Allocate memory for the solver + x = new double[nvar]; + nnzu = 0; + nnzuc = 0; + nnzua = 0; + inform = 0; + for(int i = 0; i < nvar; i++){ + x[i] = 0.0; + } + + ifail = 0; + E04SV e04sv = new E04SV(handle,nvar,x,nnzu,rdummy,nnzuc,rdummy,nnzua,rdummy, + rinfo,stats,inform,ifail); + e04sv.eval(); + + //Destroy handle + ifail = 0; + E04RZ e04rz = new E04RZ(handle,ifail); + e04rz.eval(); + } + +} + + + diff --git a/simple_examples/int32/E04RSJE.java b/simple_examples/int32/E04RSJE.java new file mode 100644 index 0000000..d614fbb --- /dev/null +++ b/simple_examples/int32/E04RSJE.java @@ -0,0 +1,229 @@ +import com.nag.routines.E04.E04RS; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04PT; +import com.nag.routines.E04.E04RZ; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * E04RS + */ +public class E04RSJE { + + public static void main(String[] args) { + + final int nout = 6; + + long cpuser, handle = 0; + double s = 0.0; + int idqc, ifail, n = 0, nnzq0 = 0, nnzq1 = 0, nnzu, nnzuc, x_idx; + boolean verbose_output; + + double[] q0 = null, q1 = null, r0 = null, r1 = null, u, uc, x; + double[] rinfo = new double[100]; + double[] ruser = new double[1]; + double[] stats = new double[100]; + int[] icolq0 = null, icolq1 = null, idxr0 = null, idxr1 = null, irowq0 = null, irowq1 = null; + int[] iuser = new int[2]; + + System.out.println(" E04RSJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); // skip header + + // Read dimensions of the problem + line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + nnzq0 = Integer.parseInt(sVal[1]); + nnzq1 = Integer.parseInt(sVal[2]); + + // Allocate memory to read data + irowq0 = new int[nnzq0]; + icolq0 = new int[nnzq0]; + q0 = new double[nnzq0]; + irowq1 = new int[nnzq1]; + icolq1 = new int[nnzq1]; + q1 = new double[nnzq1]; + idxr0 = new int[n]; + r0 = new double[n]; + idxr1 = new int[n]; + r1 = new double[n]; + + // Read problem data + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq0; i++) { + irowq0[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq0; i++) { + icolq0[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq0; i++) { + q0[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq1; i++) { + irowq1[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq1; i++) { + icolq1[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq1; i++) { + q1[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < n; i++) { + idxr0[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < n; i++) { + r0[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < n; i++) { + idxr1[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < n; i++) { + r1[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + s = Double.parseDouble(sVal[0]); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Compute size of multipliers + // One quadratic constraint in the model will have + // 2 multipliers for both bounds + nnzu = 2; + // No cone constraint in the model, so set nnzuc to 0 + nnzuc = 0; + + // Allocate memory for final results + x = new double[n]; + u = new double[nnzu]; + uc = new double[nnzuc]; + + // Create the problem handle + ifail = 0; + E04RA e04ra = new E04RA(); + e04ra.eval(handle, n, ifail); + handle = e04ra.getHANDLE(); + + // Set objective function + idqc = -1; + ifail = 0; + E04RS e04rs = new E04RS(); + e04rs.eval(handle, 0.0, n, idxr0, r0, nnzq0, irowq0, icolq0, q0, idqc, ifail); + + // Set quadratic constraint + idqc = 0; + ifail = 0; + e04rs.eval(handle, s, n, idxr1, r1, nnzq1, irowq1, icolq1, q1, idqc, ifail); + + // Turn on monitoring + ifail = 0; + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); + + // Set this to True to cause e04ptf to produce intermediate progress output + verbose_output = false; + + if (verbose_output) { + // Require printing of primal and dual solutions at the end of the solve + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + } else { + // Turn off printing of intermediate progress output + ifail = 0; + e04zm.eval(handle, "Print Level = 1", ifail); + } + + // Call SOCP interior point solver + cpuser = 0; + iuser[0] = nout; + iuser[1] = 0; + ruser[0] = 1.0e-07; + ifail = -1; + E04PT e04pt = new E04PT(); + MONIT monit = new MONIT(); + e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + ifail = e04pt.getIFAIL(); + + // Print solution if optimal or suboptimal solution found + if ((ifail == 0) || (ifail == 50)) { + System.out.println(" Optimal X:"); + System.out.println(" x_idx Value "); + for (x_idx = 0; x_idx < n; x_idx++) { + System.out.printf(" %5d %11.3e\n", x_idx, x[x_idx]); + } + } + + // Free the handle memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + } + + public static class MONIT extends E04PT.Abstract_E04PT_MONIT { + + public void eval() { + double tol; + int nout, tol_reached; + + nout = this.IUSER[0]; + tol_reached = this.IUSER[1]; + tol = this.RUSER[0]; + + // If x is close to the solution, print a message + if ((this.RINFO[14] < tol) && (this.RINFO[15] < tol) && (this.RINFO[16] < tol) && (this.RINFO[17] < tol)) { + if (tol_reached == 0) { + System.out.printf("\n monit() reports good approximate solution (tol =%9.2e)\n", tol); + this.IUSER[1] = 1; + } + } + } + } +} diff --git a/simple_examples/int32/E04RTJE.java b/simple_examples/int32/E04RTJE.java new file mode 100644 index 0000000..dd4bce8 --- /dev/null +++ b/simple_examples/int32/E04RTJE.java @@ -0,0 +1,225 @@ +import com.nag.routines.E04.E04RT; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RJ; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04PT; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04RH; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * E04RT example program text. + */ +public class E04RTJE { + + public static void main(String[] args) { + + final int nout = 6; + + long cpuser, handle = 0; + int i, idlc, idqc, ifail, j, m = 0, n = 0, nnza = 0, nnzu, nnzuc, x_idx; + boolean verbose_output; + + double[] a = null, b = null, r0 = null, u, uc, x, xl = null, xu = null; + double[] lc = new double[3]; + double[] lc_rhs = new double[1]; + double[] rinfo = new double[100]; + double[] ruser = new double[1]; + double[] stats = new double[100]; + int[] icola = null, idxr0 = null, irowa = null; + int[] icollc = new int[3]; + int[] irowlc = new int[3]; + int[] iuser = new int[2]; + + System.out.println(" E04RTJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); // skip header + + // Read dimensions of the problem + line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + m = Integer.parseInt(sVal[1]); + nnza = Integer.parseInt(sVal[2]); + + // Allocate memory to read data + a = new double[nnza]; + icola = new int[nnza]; + irowa = new int[nnza]; + idxr0 = new int[n]; + r0 = new double[n]; + b = new double[m]; + xl = new double[n]; + xu = new double[n]; + + // Read problem data + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < nnza; i++) { + irowa[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < nnza; i++) { + icola[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < nnza; i++) { + a[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < m; i++) { + b[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + xl[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + xu[i] = Double.parseDouble(sVal[i]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Compute -2*b'A as linear term in quadratic function + for (j = 0; j < n; j++) { + r0[j] = 0.0; + idxr0[j] = j + 1; + } + for (i = 0; i < nnza; i++) { + r0[icola[i] - 1] = r0[icola[i] - 1] + a[i] * b[irowa[i] - 1]; + } + + // Compute size of multipliers + // One linear constraint in the model will have + // 2 multipliers for both bounds + nnzu = 2 * n + 2; + // No cone constraint in the model, so set nnzuc to 0 + nnzuc = 0; + + // Allocate memory for final results + x = new double[n]; + u = new double[nnzu]; + uc = new double[nnzuc]; + + // Create the problem handle + ifail = 0; + E04RA e04ra = new E04RA(); + e04ra.eval(handle, n, ifail); + handle = e04ra.getHANDLE(); + + // Set quadratic objective function + idqc = -1; + ifail = 0; + E04RT e04rt = new E04RT(); + e04rt.eval(handle, 0.0, n, idxr0, r0, m, nnza, irowa, icola, a, idqc, ifail); + + // Set box constraints + ifail = 0; + E04RH e04rh = new E04RH(); + e04rh.eval(handle, n, xl, xu, ifail); + + // Set linear constraint: x1 + x2 + x3 = 1 + for (j = 0; j < n; j++) { + irowlc[j] = 1; + icollc[j] = j + 1; + lc[j] = 1.0; + } + lc_rhs[0] = 1.0; + ifail = 0; + idlc = 0; + E04RJ e04rj = new E04RJ(); + e04rj.eval(handle, 1, lc_rhs, lc_rhs, 3, irowlc, icollc, lc, idlc, ifail); + + // Turn on monitoring + ifail = 0; + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); + + // Set this to True to cause e04ptf to produce intermediate progress output + verbose_output = false; + + if (verbose_output) { + // Require printing of primal and dual solutions at the end of the solve + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + } else { + // Turn off printing of intermediate progress output + ifail = 0; + e04zm.eval(handle, "Print Level = 1", ifail); + } + + // Call SOCP interior point solver + cpuser = 0; + iuser[0] = nout; + iuser[1] = 0; + ruser[0] = 1.0e-07; + ifail = -1; + E04PT e04pt = new E04PT(); + MONIT monit = new MONIT(); + e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + ifail = e04pt.getIFAIL(); + + // Print solution if optimal or suboptimal solution found + if ((ifail == 0) || (ifail == 50)) { + System.out.println(" Optimal X:"); + System.out.println(" x_idx Value "); + for (x_idx = 0; x_idx < n; x_idx++) { + System.out.printf(" %5d %11.3e\n", x_idx, x[x_idx]); + } + } + + // Free the handle memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + } + + public static class MONIT extends E04PT.Abstract_E04PT_MONIT { + + public void eval() { + double tol; + int nout, tol_reached; + + nout = this.IUSER[0]; + tol_reached = this.IUSER[1]; + tol = this.RUSER[0]; + + // If x is close to the solution, print a message + if ((this.RINFO[14] < tol) && (this.RINFO[15] < tol) && (this.RINFO[16] < tol) && (this.RINFO[17] < tol)) { + if (tol_reached == 0) { + System.out.printf("\n monit() reports good approximate solution (tol =%9.2e)\n", tol); + this.IUSER[1] = 1; + } + } + } + } + } diff --git a/simple_examples/int32/E04SAJE.java b/simple_examples/int32/E04SAJE.java new file mode 100644 index 0000000..325267b --- /dev/null +++ b/simple_examples/int32/E04SAJE.java @@ -0,0 +1,104 @@ +import com.nag.routines.E04.E04RC; +import com.nag.routines.E04.E04SA; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04PT; +import com.nag.routines.E04.E04PTU; + +/** + * E04SA example program text. + */ +public class E04SAJE { + + public static final String fname = "e04saje.opt"; + public static void main(String[] args) { + + long cpuser, handle = 0; + int ifail, n, nnzu, nnzuc, x_idx; + boolean verbose_output; + String ftype; + + double[] rinfo = new double[100]; + double[] ruser = new double[1]; + double[] stats = new double[100]; + double[] u, uc, x; + int[] iuser = new int[1]; + int[] pinfo = new int[100]; + + System.out.println(" E04SAJ Example Program Results"); + + // Read mps file to a handle + ifail = 0; + ftype = "mps"; + E04SA e04sa = new E04SA(); + e04sa.eval(handle, fname, ftype, pinfo, ifail); + handle = e04sa.getHANDLE(); + + // Get problem size from pinfo + pinfo = e04sa.getPINFO(); + n = pinfo[0]; + nnzu = pinfo[10]; + nnzuc = pinfo[11]; + + // Set all variables as continuous + ifail = 0; + E04RC e04rc = new E04RC(); + + int[] x_idx_Arr = new int[n]; + for (x_idx = 1; x_idx <= n; x_idx++) { + x_idx_Arr[x_idx - 1] = x_idx; + } + + e04rc.eval(handle, "CONT", n, x_idx_Arr, ifail); + + // Allocate memory + x = new double[n]; + u = new double[nnzu]; + uc = new double[nnzuc]; + + // Set this to .True. to cause e04ptf to produce intermediate progress output + verbose_output = false; + + E04ZM e04zm = new E04ZM(); + if (verbose_output) { + // Require printing of primal and dual solutions at the end of the solve + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + } else { + // Turn off printing of intermediate progress output + ifail = 0; + e04zm.eval(handle, "Print Level = 1", ifail); + } + + // Call SOCP interior point solver + cpuser = 0; + ifail = -1; + E04PT e04pt = new E04PT(); + MONIT monit = new MONIT(); + e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + ifail = e04pt.getIFAIL(); + + // Print solution if optimal or suboptimal solution found + if ((ifail == 0) || (ifail == 50)) { + System.out.println(" Optimal X:"); + System.out.println(" x_idx " + " Value "); + for (x_idx = 0; x_idx < n; x_idx++) { + System.out.printf(" %5d %12.5e\n", x_idx, x[x_idx]); + } + } + + // Free the handle memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + } + + public static class MONIT extends E04PT.Abstract_E04PT_MONIT { + + public void eval() { + E04PTU e04ptu = new E04PTU(); + e04ptu.eval(this.HANDLE, this.RINFO, this.STATS, this.IUSER, this.RUSER, this.CPUSER, this.INFORM); + this.INFORM = e04ptu.getINFORM(); + } + } +} diff --git a/simple_examples/int32/E04TAJE.java b/simple_examples/int32/E04TAJE.java new file mode 100644 index 0000000..97cebe2 --- /dev/null +++ b/simple_examples/int32/E04TAJE.java @@ -0,0 +1,188 @@ +import com.nag.routines.E04.E04TA; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RE; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RJ; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04MT; +import com.nag.routines.E04.E04MTU; +import com.nag.routines.E04.E04TD; +import com.nag.routines.E04.E04TE; +import com.nag.routines.E04.E04TJ; +import com.nag.routines.E04.E04RW; +import com.nag.routines.E04.E04RZ; + +import java.util.Arrays; + +/** + * E04TA + */ +public class E04TAJE { + + public static void main(String[] args) { + + final double infbnd = 1.0e20; + + long cpuser, handle; + int idlc, ifail, ioflag, liarr, nclin, nnza, nnzu, nvar; + + double[] a, bla, bua, cvec, ulag, x, xl, xu; + + double[] rinfo = new double[100]; + double[] ruser = new double[1]; + double[] stats = new double[100]; + double[] u = new double[1]; + + int[] icola, irowa; + + int[] iuser = new int[1]; + int[] pinfo = new int[100]; + + System.out.println(" E04TAJ Example Program Results\n"); + System.out.println(" Solve the first LP\n"); + + handle = 0; + cpuser = 0; + + // Initialize the handle + nvar = 2; + ifail = 0; + E04RA e04ra = new E04RA(); + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + // Define the objective function + cvec = new double[nvar]; + cvec[0] = 2.0; + cvec[1] = 4.5; + ifail = 0; + E04RE e04re = new E04RE(); + e04re.eval(handle, nvar, cvec, ifail); + + // Box constraints + xl = new double[nvar]; + xu = new double[nvar]; + Arrays.fill(xl, 0.0); + xu[0] = infbnd; + xu[1] = 100.0; + ifail = 0; + E04RH e04rh = new E04RH(); + e04rh.eval(handle, nvar, xl, xu, ifail); + + // Set the linear constraints + idlc = 0; + nclin = 3; + nnza = 6; + bla = new double[nclin]; + bua = new double[nclin]; + irowa = new int[nnza]; + icola = new int[nnza]; + a = new double[nnza]; + Arrays.fill(bla, -infbnd); + bua = new double[] { + 1500.0, 6000.0, 16000.0 + }; + irowa = new int[] { + 1, 1, 2, 2, 3, 3 + }; + icola = new int[] { + 1, 2, 1, 2, 1, 2 + }; + a = new double[] { + 1.2, 3.0, 6.0, 10.0, 40.0, 80.0 + }; + ifail = 0; + E04RJ e04rj = new E04RJ(); + e04rj.eval(handle, nclin, bla, bua, nnza, irowa, icola, a , idlc, ifail); + + // Optional parameters + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "Task = Max", ifail); + e04zm.eval(handle, "Print Options = No", ifail); + e04zm.eval(handle, "Print Level = 1", ifail); + e04zm.eval(handle, "Print Solution = X", ifail); + + // Call the LP solver + x = new double[nvar + 1]; + nnzu = 0; + ifail = -1; + E04MT e04mt = new E04MT(); + MONIT monit = new MONIT(); + e04mt.eval(handle, nvar, x ,nnzu, u, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + + // Add a variable + ifail = 0; + E04TA e04ta = new E04TA(); + e04ta.eval(handle, 1, nvar, ifail); + nvar = e04ta.getNVAR(); + + // Box constraint on the new variable + ifail = 0; + E04TD e04td = new E04TD(); + e04td.eval(handle, "variable", nvar, 0.0, 50.0, ifail); + + // Add the linear objective component + ifail = 0; + E04TE e04te = new E04TE(); + e04te.eval(handle, 3, 7.0, ifail); + + // Add linear constraints coefficients + E04TJ e04tj = new E04TJ(); + ifail = 0; + e04tj.eval(handle, 1, 3, 5.0, ifail); + ifail = 0; + e04tj.eval(handle, 2, 3, 12.0, ifail); + ifail = 0; + e04tj.eval(handle, 3, 3, 120.0, ifail); + + System.out.println("\n The new variable has been added, solve the handle again\n"); + + // Solve the problem again + ifail = -1; + e04mt.eval(handle, nvar, x, nnzu, u, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + + // Add a linear constraint + nclin = 1; + bla[0] = -infbnd; + bua[0] = 100.0; + nnza = 2; + irowa[0] = 1; + irowa[1] = 1; + icola[0] = 2; + icola[1] = 3; + a[0] = 1.0; + a[1] = 1.0; + idlc = 0; + e04rj.eval(handle, nclin, bla, bua ,nnza, irowa, icola, a ,idlc, ifail); + + System.out.println("\n The new constraint has been added, solve the handle again\n"); + + // Query the problem sizes to request the Lagrangian multipliers for the + // last solve + ioflag = 1; + liarr = 100; + E04RW e04rw = new E04RW(); + e04rw.eval(handle, "pinfo", ioflag, liarr, pinfo, ifail); + nnzu = pinfo[10]; + ulag = new double[nnzu]; + + // Solve the problem again + ifail = -1; + e04mt.eval(handle, nvar, x ,nnzu, ulag, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + + // Free the memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + } + + public static class MONIT extends E04MT.Abstract_E04MT_MONIT { + + public void eval() { + E04MTU e04mtu = new E04MTU(); + e04mtu.eval(this.HANDLE, this.RINFO, this.STATS, this.IUSER, this.RUSER, + this.CPUSER, this.INFORM); + this.INFORM = e04mtu.getINFORM(); + } + } +} diff --git a/simple_examples/int32/E04TCJE.java b/simple_examples/int32/E04TCJE.java new file mode 100644 index 0000000..d28d78b --- /dev/null +++ b/simple_examples/int32/E04TCJE.java @@ -0,0 +1,263 @@ +import com.nag.routines.E04.E04FFU; +import com.nag.routines.E04.E04GG; +import com.nag.routines.E04.E04GGU; +import com.nag.routines.E04.E04GGV; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RM; +import com.nag.routines.E04.E04TB; +import com.nag.routines.E04.E04TC; +import com.nag.routines.E04.E04TD; +import com.nag.routines.E04.E04ZM; +import java.io.BufferedReader; +import java.io.FileReader; +import java.text.NumberFormat; +import java.util.logging.Level; +import java.util.logging.Logger; +import java.util.Arrays; + +/** + * E04TC example program text. + * @author Mo + */ +public class E04TCJE { + + public static void main(String[] args) { + double[] rx, x, udt, udy; + double[] rinfo = new double[100], ruser = new double[0], + stats = new double[100]; + int ifail, isparse, nnzrd, nres, nvar, udnres; + int[] icolrd = new int[0], irowrd = new int[0], iuser = new int[0]; + int[] idx; + long cpuser, handle; // c_ptr + LSQFUN lsqfun = new LSQFUN(); + LSQGRD lsqgrd = new LSQGRD(); + LSQHES lsqhes = new LSQHES(); + LSQHPRD lsqhprd = new LSQHPRD(); + MONIT monit = new MONIT(); + + /* Header */ + System.out.printf(" E04TCJ Example Program Results\n\n"); + try { + + handle = 0L; + cpuser = 0L; + + BufferedReader br = new BufferedReader(new FileReader(args[0])); + String line = br.readLine(); // read the header + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + String[] data = line.split("\\s+"); + + /* Read number of residuals */ + nres = Integer.parseInt(data[0]); + + udnres = nres; + + /* Allocate memory */ + udt = new double[nres]; + udy = new double[nres]; + + /* Read observations */ + + for (int ii = 0; ii < nres; ii += 3) { + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int jj = 0; jj < 3; ++jj) { + udt[ii+jj] = Double.parseDouble(data[jj]); + } + } + + for (int ii = 0; ii < nres; ii += 3) { + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int jj = 0; jj < 3; ++jj) { + udy[ii+jj] = Double.parseDouble(data[jj]); + } + } + + /* try to fit the model */ + /* f(t) = at^2 + bt + c + d sin(omega t) */ + /* To the data {(t_i, y_i)} */ + nvar = 5; + + /* Initialize the NAG optimization handle */ + E04RA e04ra = new E04RA(); + ifail = 0; // hard fail + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + /* Define a dense nonlinear least-squares objective function */ + /* (isparse = 0 => the sparsity pattern of the Jacobian */ + /* doesn't need to be defined) */ + E04RM e04rm = new E04RM(); + isparse = 0; + nnzrd = 1; + e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); + + /* Set some optional parameters to control the output of the solver */ + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "Print Options = No", ifail); + e04zm.eval(handle, "Print Solution = X", ifail); + e04zm.eval(handle, "Print Level = 1", ifail); + + System.out.println("First solve the problem with the outliers"); + System.out.println(); + System.out.println("--------------------------------------------------------"); + + /* Call the solver */ + E04GG e04gg = new E04GG(); + x = new double[nvar]; + for (int ii = 0; ii < nvar; ++ii) { + x[ii] = 1.0; + } + rx = new double[nres]; + iuser = new int[] {udnres}; + ruser = new double[2 * udnres];; + for (int ii = 0; ii < udnres; ii++) { + ruser[ii] = udt[ii]; + ruser[udnres + ii] = udy[ii]; + } + ifail = -1; + e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, + rx, rinfo, stats, iuser, ruser, cpuser, ifail); + + System.out.println("--------------------------------------------------------"); + System.out.println(); + System.out.println("Now remove the outlier residuals from the problem handle"); + System.out.println(); + System.out.println("--------------------------------------------------------"); + + /* Disable the two outlier residuals */ + E04TC e04tc = new E04TC(); + idx = new int[] {10, 20}; + e04tc.eval(handle, "NLS", 2, idx, ifail); + + /* Solve the problem again */ + for (int ii = 0; ii < nvar; ++ii) { + x[ii] = 1.0; + } + ifail = -1; + e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, + rx, rinfo, stats, iuser, ruser, cpuser, ifail); + + System.out.println("--------------------------------------------------------"); + System.out.println(); + System.out.println("Assuming the outliers points are measured again"); + System.out.println("we can enable the residuals and adjust the values"); + System.out.println(); + System.out.println("--------------------------------------------------------"); + + /* Fix the first variable to its known value of 0.3 */ + /* enable the residuals and adjust the values in the data */ + E04TD e04td = new E04TD(); + e04td.eval(handle, "variable", 1, 0.3, 0.3, ifail); + E04TB e04tb = new E04TB(); + e04tb.eval(handle, "NLS", 2, idx, ifail); + udy[9] = -0.515629; + udy[19] = 0.54920; + + /* Solve the problem */ + for (int ii = 0; ii < nvar; ++ii) { + x[ii] = 1.0; + } + ifail = -1; + e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, + rx, rinfo, stats, iuser, ruser, cpuser, ifail); + + } + catch (Exception ex) { + Logger.getLogger(E04TCJE.class.getName()).log(Level.SEVERE, null, ex); + } + + } + + public static class LSQFUN extends E04GG.Abstract_E04GG_LSQFUN { + + public void eval() { + int udnres; + double[] udt, udy; + + /* Unpack the user data from cpuser */ + udnres = this.IUSER[0]; + udt = Arrays.copyOfRange(this.RUSER, 0, udnres); + udy = Arrays.copyOfRange(this.RUSER, udnres, udnres + udnres); + + for (int i = 0; i < this.NRES; i++) { + this.RX[i] = 0.0; + } + + for (int i = 0; i < this.NRES; i++) { + this.RX[i] = (this.X[0] * Math.pow(udt[i],2) + this.X[1] * udt[i] + + this.X[2] + this.X[3] * Math.sin(this.X[4] * udt[i])) - + udy[i]; + } + + this.INFORM = 0; + + } + + } + + public static class LSQGRD extends E04GG.Abstract_E04GG_LSQGRD { + + public void eval() { + int udnres; + double[] udt, udy; + + /* Unpack the user data from cpuser */ + udnres = this.IUSER[0]; + udt = Arrays.copyOfRange(this.RUSER, 0, udnres); + udy = Arrays.copyOfRange(this.RUSER, udnres, udnres + udnres); + + for (int i = 1; i <= this.NRES; i++) { + this.RDX[((i-1)*this.NVAR + 1) - 1] = Math.pow(udt[i-1],2); + this.RDX[((i-1)*this.NVAR + 2) - 1] = udt[i-1]; + this.RDX[((i-1)*this.NVAR + 3) - 1] = 1.0; + this.RDX[((i-1)*this.NVAR + 4) - 1] = Math.sin(this.X[4] * udt[i-1]); + this.RDX[((i-1)*this.NVAR + 5) - 1] = this.X[3] * udt[i-1] * + Math.cos(this.X[4] * udt[i-1]); + + } + + this.INFORM = 0; + + } + + } + + public static class LSQHES extends E04GG.Abstract_E04GG_LSQHES { + + public void eval() { + E04GGU e04ggu = new E04GGU(); + e04ggu.eval(this.NVAR, this.X, this.NRES, this.LAMBDA, this.HX, + this.INFORM, this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ggu.getINFORM(); + } + + } + + public static class LSQHPRD extends E04GG.Abstract_E04GG_LSQHPRD { + + public void eval() { + E04GGV e04ggv = new E04GGV(); + e04ggv.eval(this.NVAR, this.X, this.Y, this.NRES, this.HXY, this.INFORM, + this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ggv.getINFORM(); + } + + } + + public static class MONIT extends E04GG.Abstract_E04GG_MONIT { + + public void eval() { + E04FFU e04ffu = new E04FFU(); + e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, + this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ffu.getINFORM(); + } + + } + +} diff --git a/simple_examples/int32/E04UCJE.java b/simple_examples/int32/E04UCJE.java new file mode 100644 index 0000000..e43d457 --- /dev/null +++ b/simple_examples/int32/E04UCJE.java @@ -0,0 +1,211 @@ +import com.nag.routines.E04.E04UC; +import com.nag.routines.E04.E04WB; +import com.nag.routines.E04.E04UE; +import com.nag.routines.F06.DGEMV; +import java.util.Arrays; + +/** + * E04UC example program text. + * @author joed + */ +public class E04UCJE { + + public static final double ONE = 1.0, ZERO = 0.0; + public static final int INC1 = 1, LCWSAV = 1, LIWSAV = 610, LLWSAV = 120, LRWSAV = 475; + public static CONFUN confun = new CONFUN(); + public static OBJFUN objfun = new OBJFUN(); + + public static void main(String[] args) { + + /* Local Scalars */ + double objf; + int i, ifail, inform, iter, j, lda, ldcj, ldr, liwork, lwork, n, nclin, ncnln, sda, sdcjac; + /* Local Arrays */ + double[] a, bl, bu, c, cjac, clamda, objgrd, r, work, x; + double[] ruser = new double[1], rwsav = new double[LRWSAV]; + int[] istate, iwork; + int[] iuser = new int[1], iwsav = new int[LIWSAV]; + boolean[] lwsav = new boolean[LLWSAV]; + String[] cwsav = new String[LCWSAV]; + Arrays.fill(cwsav, + " "); + + System.out.println(" E04UCJ Example Program Results"); + + /* Set scalars */ + n = 4; + nclin = 1; + ncnln = 2; + liwork = 3*n + nclin + 2*ncnln; + lda = Math.max(1, nclin); + sda = (nclin > 0) ? n : 1; + ldcj = Math.max(1, ncnln); + sdcjac = (ncnln > 0) ? n : 1; + ldr = n; + + if (ncnln == 0 && nclin > 0) { + lwork = 2*n*n + 20*n + 11*nclin; + } + else if (ncnln > 0 && nclin >= 0) { + lwork = 2*n*n + n*nclin + 2*n*ncnln + 20*n + 11*nclin + 21*ncnln; + } + else { + lwork = 20*n; + } + + /* Set arrays */ + istate = new int[n + nclin + ncnln]; + iwork = new int[liwork]; + c = new double[Math.max(1, ncnln)]; + cjac = new double[ldcj * sdcjac]; + clamda = new double[n + nclin + ncnln]; + objgrd = new double[n]; + r = new double[ldr * n]; + work = new double[lwork]; + + a = new double[]{1.0, 1.0, 1.0, 1.0}; + bl = new double[]{1.0, 1.0, 1.0, 1.0, -1.0E+25, -1.0E+25, 25.0}; + bu = new double[]{5.0, 5.0, 5.0, 5.0, 20.0, 40.0, 1.0E+25}; + x = new double[]{1.0, 5.0, 5.0, 1.0}; + + /* Initialise E04UC */ + E04WB e04wb = new E04WB(); + ifail = 0; + e04wb.eval("E04UCA", cwsav, LCWSAV, lwsav, LLWSAV, iwsav, LIWSAV, rwsav, LRWSAV, ifail); + E04UE e04ue = new E04UE(); + inform = 0; + e04ue.eval("Print Level = 10", lwsav, iwsav, rwsav, inform); + + /* Solve the problem */ + E04UC e04uc = new E04UC(); + iter = 0; + objf = 0.0; + ifail = -1; + e04uc.eval(n, nclin, ncnln, lda, ldcj, ldr, a, bl, bu, confun, objfun, iter, istate, c, + cjac, clamda, objf, objgrd, r, x, iwork, liwork, work, lwork, iuser, ruser, + lwsav, iwsav, rwsav, ifail); + iter = e04uc.getITER(); + objf = e04uc.getOBJF(); + ifail = e04uc.getIFAIL(); + + if ((0 >= ifail && ifail <= 6) || ifail == 8) { + System.out.println(); + System.out.println(" Varbl Istate Value Lagr Mult"); + System.out.println(); + + for (i = 0; i < n; i++) { + System.out.printf(" V %3d %3d %13.6G %13.4G\n", i+1, istate[i], x[i], clamda[i]); + } + + if (nclin > 0) { + + /* A*x --> work. + * The NAG name equivalent of DGEMV is F06PA */ + DGEMV dgemv = new DGEMV(); + dgemv.eval("N", nclin, n, ONE, a, lda, x, INC1, ZERO, work, INC1); + + System.out.println(); + System.out.println(); + System.out.println(" L Con Istate Value Lagr Mult"); + System.out.println(); + + for (i = n; i < n+nclin; i++) { + j = i - n; + System.out.printf(" L %3d %3d %13.6G %13.4G\n", j+1, istate[i], work[j], clamda[i]); + } + + } + + if (ncnln > 0) { + System.out.println(); + System.out.println(); + System.out.println(" N Con Istate Value Lagr Mult"); + System.out.println(); + + for (i = n+nclin; i < n+nclin+ncnln; i++) { + j = i - n - nclin; + System.out.printf(" N %3d %3d %13.6G %13.4G\n", j+1, istate[i], c[j], clamda[i]); + } + + } + + System.out.println(); + System.out.println(); + System.out.printf(" Final objective value = %11.7G\n", objf); + + } + + } + + /** Routine to evaluate objective function and its 1st derivatives. */ + public static class OBJFUN extends E04UC.Abstract_E04UC_OBJFUN { + + public void eval() { + + if (MODE == 0 || MODE == 2) { + OBJF = X[0] * X[3] * (X[0]+X[1]+X[2]) + X[2]; + } + + if (MODE == 1 || MODE == 2) { + OBJGRD[0] = X[3] * (X[0]+X[0]+X[1]+X[2]); + OBJGRD[1] = X[0] * X[3]; + OBJGRD[2] = X[0] * X[3] + ONE; + OBJGRD[3] = X[0] * (X[0]+X[1]+X[2]); + } + + } + + } + + /** Routine to evaluate the nonlinear constraints and their 1st derivatives. */ + public static class CONFUN extends E04UC.Abstract_E04UC_CONFUN { + + public void eval() { + + if (NSTATE == 1) { + + /* First call to CONFUN. Set all Jacobian elements to zero. + * Note that this will only work when 'Derivative Level = 3' + * (the default; see Section 11.2). */ + + for (int i = 0; i < CJAC.length; ++i) { + CJAC[i] = 0; + } + + } + + if (NEEDC[0] > 0) { + + if (MODE == 0 || MODE == 2) { + C[0] = X[0]*X[0] + X[1]*X[1] + X[2]*X[2] + X[3]*X[3]; + } + + if (MODE == 1 || MODE == 2) { + CJAC[0] = X[0] + X[0]; + CJAC[LDCJ] = X[1] + X[1]; + CJAC[2*LDCJ] = X[2] + X[2]; + CJAC[3*LDCJ] = X[3] + X[3]; + } + + } + + if (NEEDC[1] > 0) { + + if (MODE == 0 || MODE == 2) { + C[1] = X[0]*X[1]*X[2]*X[3]; + } + + if (MODE == 1 || MODE == 2) { + CJAC[1] = X[1]*X[2]*X[3]; + CJAC[1+LDCJ] = X[0]*X[2]*X[3]; + CJAC[1+2*LDCJ] = X[0]*X[1]*X[3]; + CJAC[1+3*LDCJ] = X[0]*X[1]*X[2]; + } + + } + + } + + } + +} diff --git a/simple_examples/int32/E04YAJE.java b/simple_examples/int32/E04YAJE.java new file mode 100644 index 0000000..72d80da --- /dev/null +++ b/simple_examples/int32/E04YAJE.java @@ -0,0 +1,112 @@ +import com.nag.routines.E04.E04YA; + + +/** + * E04YA example program text. + * @author joed + */ +public class E04YAJE { + + public static LSQFUN lsqfun = new LSQFUN(); + public static final int LIW = 1, MDEC = 15, NDEC = 3; + public static final int LDFJAC = MDEC; + public static final int LW = 3*NDEC + MDEC + MDEC*NDEC; + public static double[] t = new double[MDEC*NDEC], y = new double[MDEC]; + + /** Routine to evaluate the residuals and their 1st derivatives. */ + public static class LSQFUN extends E04YA.Abstract_E04YA_LSQFUN { + + public void eval() { + double denom, dummy; + int i; + + for (i = 0; i < M; i++) { + denom = (XC[1] * t[MDEC + i]) + (XC[2] * t[2*MDEC + i]); + + if (IFLAG != 1) { + FVEC[i] = XC[0] + (t[i]/denom) - y[i]; + } + + if (IFLAG != 0) { + FJAC[i] = 1.0; + dummy = -1.0/(denom*denom); + FJAC[MDEC + i] = t[i] * t[MDEC + i] * dummy; + FJAC[2*MDEC + i] = t[i] * t[2*MDEC + i] * dummy; + } + + } + } + + } + + public static void main(String[] args) { + int i, ifail, m, n; + double[] fjac = new double[LDFJAC*NDEC], fvec = new double[MDEC], + w = new double[LW], x = new double[NDEC]; + int[] iw = new int[LIW]; + + System.out.println(" E04YAJ Example Program Results"); + + n = NDEC; + m = MDEC; + + /* Observations of TJ (J = 1, 2, ..., n) are held in T(I, J) + * (I = 1, 2, ..., m) */ + + y = new double[]{0.14, 0.18, 0.22, 0.25, 0.29, 0.32, 0.35, 0.39, 0.37, + 0.58, 0.73, 0.96, 1.34, 2.10, 4.39}; + for (i = 0; i < m; i++) { + t[i] = i + 1.0; + t[m + i] = 15.0 - i; + t[2*m + i] = -Math.abs(i - 7.0) + 8.0; + } + + /* Set up an arbitrary point at which to check the 1st derivatives */ + + x[0] = 0.19; + x[1] = -1.34; + x[2] = 0.88; + + System.out.println(); + System.out.println("The test point is"); + System.out.printf(" "); + for (i = 0; i < n; i++) { + System.out.printf("%10.5f", x[i]); + } + System.out.printf("\n"); + + E04YA e04ya = new E04YA(); + ifail = -1; + e04ya.eval(m, n, lsqfun, x, fvec, fjac, LDFJAC, iw, LIW, w, LW, ifail); + ifail = e04ya.getIFAIL(); + + if (ifail >= 0 && ifail != 1) { + + switch (ifail) { + case 0: + System.out.println(); + System.out.println("1st derivatives are consistent with residual values"); + break; + case 2: + System.out.println(); + System.out.println("Probable error in calculation of 1st derivatives"); + break; + default: + } + + System.out.println(); + System.out.println("At the test point, LSQFUN gives"); + System.out.println(); + System.out.println(" Residuals 1st derivatives"); + for (i = 0; i < m; i++) { + System.out.printf(" %15.3E", fvec[i]); + System.out.printf("%15.3E", fjac[i]); + System.out.printf("%15.3E", fjac[LDFJAC + i]); + System.out.printf("%15.3E\n", fjac[2*LDFJAC + i]); + } + + } + + } + +} diff --git a/simple_examples/int32/F01ADJE.java b/simple_examples/int32/F01ADJE.java new file mode 100644 index 0000000..4167f71 --- /dev/null +++ b/simple_examples/int32/F01ADJE.java @@ -0,0 +1,39 @@ +import com.nag.routines.F01.F01AD; +import com.nag.routines.X04.X04CA; + + +/** + * F01AD example program text. + * @author joed + */ +public class F01ADJE { + + public static void main(String[] args) { + + int i, ifail, lda, n; + double[] a; + + System.out.println(" F01ADJ Example Program Results"); + System.out.println(); + + n = 4; + lda = n + 1; + a = new double[] { + 5.0, 7.0, 6.0, 5.0, 0.0, + 7.0, 10.0, 8.0, 7.0, 0.0, + 6.0, 8.0, 10.0, 9.0, 0.0, + 5.0, 7.0, 9.0, 10.0, 0.0 + }; + + F01AD f01ad = new F01AD(); + ifail = -1; + f01ad.eval(n, a, lda, ifail); + ifail = f01ad.getIFAIL(); + + /* Print the result matrix A */ + X04CA x04ca = new X04CA(); + x04ca.eval("L", "B", lda, n, a, lda, "Lower triangle of inverse", ifail); + + } + +} diff --git a/simple_examples/int32/F01CKJE.java b/simple_examples/int32/F01CKJE.java new file mode 100644 index 0000000..ed3ffa2 --- /dev/null +++ b/simple_examples/int32/F01CKJE.java @@ -0,0 +1,60 @@ +import com.nag.routines.F01.F01CK; +import com.nag.routines.X04.X04CB; +import java.util.logging.Level; +import java.util.logging.Logger; + + +/** + * F01CK example program text. + * @author ludovic + */ +public class F01CKJE { + + public static void main(String[] args) { + + double[] a, b, c, z; + int n, p, m, iz, opt; + int ifail; + + m = 3; + n = p = 2; + iz = 1; + opt = 1; + a = new double[n * p]; + b = new double[n * m]; + c = new double[m * p]; + z = new double[iz]; + ifail = 0; + + System.out.println(" F01CKJ Example Program Results"); + + // Initialising b and c + + for (int i = 0; i < m; ++i) { + for (int j = 0; j < n; ++j) { + b[j+i*n] = (double) (i+j); + } + for (int j = 0; j < p; ++j) { + c[i+j*m] = (double) (i+j); + } + } + + F01CK f01ck = new F01CK(a, b, c, n, p, m, z, iz, opt, ifail); + f01ck.eval(); + ifail = f01ck.getIFAIL(); + String title = "Matrix A"; + System.out.println(); + System.out.flush(); + ifail = 0; + + String matrix = "G", diag = "N", nolabel = "N", form = "F7.1"; + String[] dummy = {" "}; + int ncols = 80; + int indent = 0; + + (new X04CB()).eval(matrix,diag,n,p,a,n,form,title,nolabel,dummy,nolabel, + dummy,ncols,indent, ifail); + + } + +} diff --git a/simple_examples/int32/F01CRJE.java b/simple_examples/int32/F01CRJE.java new file mode 100644 index 0000000..c10b284 --- /dev/null +++ b/simple_examples/int32/F01CRJE.java @@ -0,0 +1,47 @@ +import com.nag.routines.F01.F01CR; +import java.util.logging.Level; +import java.util.logging.Logger; + + +/** + * F01CR example program text. + * @author ludovic + */ +public class F01CRJE { + + public static void main(String[] args) { + System.out.println(" F01CRJ Example Program Results"); + double[] a; + int m,n,mn,lmove; + int[] move; + int ifail; + n = 7; + m = 3; + mn = m*n; + lmove = (m + n)/2; + a = new double[mn]; + move = new int[lmove]; + ifail = 1; + + for (int i = 0; i < mn; i++) { + a[i] = i+1.0; + } + + F01CR f01cr = new F01CR(a, m, n, mn, move, lmove, ifail); + f01cr.eval(); + + System.out.println(); + int index = 0; + for (int i = 0; i < mn; ++i) { + System.out.printf(" %7.1f",a[i]); + ++index; + if (index == 7) { + System.out.println(); + index = 0; + } + } + System.out.println(); + + } + +} diff --git a/simple_examples/int32/F01DGJE.java b/simple_examples/int32/F01DGJE.java new file mode 100644 index 0000000..107137f --- /dev/null +++ b/simple_examples/int32/F01DGJE.java @@ -0,0 +1,72 @@ +import com.nag.routines.F01.F01DG; +import com.nag.routines.X04.X04CA; + +/** + * F01DG example program text. + * @author joed + * @since 27.0.0.0 + */ +public class F01DGJE { + + /** + * F01DG example main program. + */ + public static void main(String[] args) { + + F01DG f01dg = new F01DG(); + X04CA x04ca = new X04CA(); + double alpha; + int i, ifail, lda, ldb, n; + String side, transa, uplo; // Length 1 + double[] a, b; + + System.out.println("F01DGJ Example Program Results\n"); + + // Values for side, uplo and transa + side = "L"; + uplo = "U"; + transa = "T"; + + // Order of square matrices + n = 4; + lda = n; + ldb = n; + + // Scaling constant alpha + alpha = 0.4; + + // Set input matrices (column-major order) + a = new double[]{ + 1.5, 0.0, 0.0, 0.0, + 2.3, 3.4, 0.0, 0.0, + 6.7, 5.4, 8.1, 0.0, + 1.9, 8.6, 2.0, 5.9 + }; + b = new double[]{ + 3.5, 0.0, 0.0, 0.0, + 2.1, 5.6, 0.0, 0.0, + 4.0, 2.1, 1.7, 0.0, + 2.1, 2.5, 1.1, 7.4 + }; + + /* ifail: behaviour on error exit + * = 0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft */ + ifail = 0; + + // Find B=alpha*A*B + f01dg.eval(side, uplo, transa, n, alpha, a, lda, b, ldb, ifail); + ifail = f01dg.getIFAIL(); + + // Print the solution + if (ifail == 0) { + if (transa.equals("N")) { + x04ca.eval(uplo, "N", n, n, b, n, "Solution matrix B", ifail); + } + else { + x04ca.eval("G", "N", n, n, b, n, "Solution matrix B", ifail); + } + } + + } + +} diff --git a/simple_examples/int32/F01ELJE.java b/simple_examples/int32/F01ELJE.java new file mode 100644 index 0000000..9986c6c --- /dev/null +++ b/simple_examples/int32/F01ELJE.java @@ -0,0 +1,89 @@ +import com.nag.routines.F01.F01EL; +import com.nag.routines.Routine; +import com.nag.routines.X04.X04CA; +import com.nag.types.NAGComplex; +import com.nag.types.NAGComplexInterface; +import java.util.Arrays; + +/** + * F01EL example program text. + * @author joed + */ +public class F01ELJE { + + public static void main(String[] args) { + + F01EL f01el = new F01EL(); + X04CA x04ca = new X04CA(); + + FCos2 fcos2 = new FCos2(); + double imnorm; + int i, ifail, iflag, lda, n; + double[] a, ruser = new double[1]; + int[] iuser = new int[1]; + + Routine.setComplex(new NAGComplex()); + + System.out.println(" F01ELJ Example Program Results"); + System.out.println(); + + // Problem data + n = 4; + a = new double[] { + 3.0, -1.0, 0.0, 2.0, 0.0, 1.0, 2.0, 1.0, 1.0, 3.0, 2.0, -1.0, 2.0, 1.0, 1.0, 1.0 + }; + + // Find f(A) + lda = n; + iflag = 0; + imnorm = 0; + ifail = 0; + f01el.eval(n, a, lda, fcos2, iuser, ruser, iflag, imnorm, ifail); + + // Print solution + ifail = 0; + x04ca.eval("G", "N", n, n, a, lda, "F(A) = COS(2A)", ifail); + + // Print the norm of the imaginary part to check it is small + System.out.println(); + System.out.println(" Imnorm = " + imnorm); + + } + + public static class FCos2 extends F01EL.Abstract_F01EL_F { + + /* These methods should really be part of an extension of NAGComplex. */ + + private NAGComplex complexCos(NAGComplexInterface z) { + NAGComplex cosz = new NAGComplex(); + cosz.setRe(Math.cos(z.getRe()) * Math.cosh(z.getIm())); + cosz.setIm(-Math.sin(z.getRe()) * Math.sinh(z.getIm())); + return cosz; + } + + private NAGComplex complexMult(NAGComplexInterface a, NAGComplexInterface b) { + NAGComplex ab = new NAGComplex(); + ab.setRe((a.getRe()*b.getRe()) - (a.getIm()*b.getIm())); + ab.setIm((a.getRe()*b.getIm()) + (a.getIm()*b.getRe())); + return ab; + } + + /* Calculate F(A) = COS(2A) */ + + public void eval() { + + NAGComplex two = new NAGComplex(); + two.setRe(2.0); + two.setIm(0.0); + + for (int i = 0; i < this.NZ; i++) { + this.FZ[i] = (NAGComplex) complexCos(complexMult(two, this.Z[i])); + } + + this.IFLAG = 0; + + } + + } + +} diff --git a/simple_examples/int32/F01EMJE.java b/simple_examples/int32/F01EMJE.java new file mode 100644 index 0000000..716a7b5 --- /dev/null +++ b/simple_examples/int32/F01EMJE.java @@ -0,0 +1,106 @@ +import com.nag.routines.F01.F01EM; +import com.nag.routines.X04.X04CA; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +/** + * F01EMJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class F01EMJE{ + + /** + * F01EMJ Example main program + */ + public static void main(String[] args){ + double imnorm = 0; + int ifail, iflag = 0, lda, n; //placeholders + double[] a, ruser; + int[] iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println("F01EMJ Example Program Results"); + System.out.println(); + + //Tell wrapper what type of complex type is going to be used + Routine.setComplex(new NAGComplex()); + + //Problem size + n = 4; + lda = n; + + //Allocate + a = new double[lda * n]; + + //Data + //A = ( 1, 0,-2, 1) + // (-1, 2, 0, 1) + // ( 2, 0, 1, 0) + // ( 1, 0,-2, 2) + a[0] = 1; + a[1] = -1; + a[2] = 2; + a[3] = 1; + a[4] = 0; + a[5] = 2; + a[6] = 0; + a[7] = 0; + a[8] = -2; + a[9] = 0; + a[10] = 1; + a[11] = -1; + a[12] = 1; + a[13] = 1; + a[14] = 0; + a[15] = 2; + + //Find f(A) + ifail = 0; + //Create fexp2 object to pass to wrapper + fexp2 f = new fexp2(); + F01EM f01em = new F01EM(n, a, lda, f, iuser, ruser, iflag, imnorm, ifail); + f01em.eval(); + + //Print solution + ifail = 0; + X04CA x04ca = new X04CA("G", "N", n, n, a, lda, "F(A) = EXP(2A)", ifail); + x04ca.eval(); + + //Print the norm oof the imaginary part to check if it small + System.out.println(); + System.out.printf("Imnorm = %.2f\n", imnorm); + } + + /** + * fexp2 class representing f routine argument + */ + public static class fexp2 extends F01EM.Abstract_F01EM_F{ + public void eval(){ + NAGComplex two = new NAGComplex(2, 0); + NAGComplex twoPowM = new NAGComplex(2, 0); + + twoPowM.setRe(Math.pow(2, this.M)); + + for(int i = 0; i < this.NZ; i++){ + this.FZ[i] = NAGComplex.multiply(twoPowM, this.complexExp(NAGComplex.multiply(two, (NAGComplex) this.Z[i]))); + } + + //Set iflag nonzero to terminate exectuion for any reason + this.IFLAG = 0; + } + + //Raises e ^ z where z is a complex number + //Uses eulers formula; + //c ^ (a + bi) = c^a * ((cos(bln(c))) + isin(bln(c))) + public NAGComplex complexExp(NAGComplex x){ + NAGComplex tmp = new NAGComplex(); + tmp.setRe(Math.cos(x.getIm())); + tmp.setIm(Math.sin(x.getIm())); + NAGComplex ans = NAGComplex.multiply(new NAGComplex(Math.exp(x.getRe()), 0), tmp); + return ans; + } + } +} diff --git a/simple_examples/int32/F02EKJE.java b/simple_examples/int32/F02EKJE.java new file mode 100644 index 0000000..3737022 --- /dev/null +++ b/simple_examples/int32/F02EKJE.java @@ -0,0 +1,227 @@ +import com.nag.routines.F02.F02EK; +import com.nag.routines.F12.F12AD; +import com.nag.routines.Routine; +import com.nag.routines.X02.X02AJ; +import com.nag.types.NAGComplex; +import com.nag.types.NAGComplexInterface; +import java.util.Arrays; + +/** + * F02EK example program text. + * @author joed + */ +public class F02EKJE { + + public static MYMONIT mymonit = new MYMONIT(); + public static MYOPTION myoption = new MYOPTION(); + + public static void main(String[] args) { + F02EK f02ek = new F02EK(); + X02AJ x02aj = new X02AJ(); + double h, rho, s, sigma; + int ifail, imon, k, ldv, maxit, mode, n, nconv, ncv, nev, nnz, nx, + prtlvl; + NAGComplex complex = new NAGComplex(); + double[] a, resid, v, ruser = new double[1]; + int[] icolzp, irowix, iuser = new int[4]; + NAGComplex[] w; + + Routine.setComplex(complex); + + System.out.println(" F02EKJ Example Program Results"); + System.out.println(); + + nx = 10; + nev = 4; + ncv = 20; + rho = 10.0; + sigma = 5.5; + + n = nx * nx; + nnz = 3*n - 2; + ldv = n; + + resid = new double[ncv]; + a = new double[nnz]; + icolzp = new int[n + 1]; + irowix = new int[nnz]; + w = (NAGComplex[]) complex.getArrayOfInstances(ncv); + v = new double[ldv * ncv]; + + // Construct A in compressed column storage (CCS) format where: + // A{ i , i } = 2 + i + // A{i+1, i } = 3 + // A{ i , i+1} = rho/(2n+2) - 1 + + h = 1.0 / (double)(n+1); + s = (rho * h / 2.0) - 1.0; + + a[0] = 2.0 + 1.0; + a[1] = 3.0; + icolzp[0] = 1; + irowix[0] = 1; + irowix[1] = 2; + k = 3; + + for (int i = 1; i < n - 1; i++) { + icolzp[i] = k; + irowix[k - 1] = i; + irowix[k] = i + 1; + irowix[k + 1] = i + 2; + a[k - 1] = s; + a[k] = 2.0 + (double)(i + 1); + a[k + 1] = 3.0; + k += 3; + } + + icolzp[n - 1] = k; + icolzp[n] = k + 2; + irowix[k - 1] = n - 1; + irowix[k] = n; + a[k - 1] = s; + a[k] = 2.0 + (double)(n); + + // Set some options via iuser array and return routine argument OPTION + // iuser[0] = print level + // iuser[1] = iteration limit + // iuser[2] > 0 means shifted-invert mode + // iuser[3] > 0 means print monitoring info + + prtlvl = 0; + maxit = 500; + mode = 1; + imon = 1; + + if (prtlvl > 0) { + imon = 0; + } + + iuser[0] = prtlvl; + iuser[1] = maxit; + iuser[2] = mode; + iuser[3] = imon; + + nconv = 0; // placeholder value, nconv is output only + ifail = 0; // hard exit on error + + f02ek.eval( + n, nnz, a, icolzp, irowix, nev, ncv, sigma, mymonit, myoption, + nconv, w, v, ldv, resid, iuser, ruser, ifail + ); + ifail = f02ek.getIFAIL(); + nconv = f02ek.getNCONV(); + + System.out.println(); + System.out.printf( + " The %4d Ritz values of closest to %13.5E are:\n", nconv, sigma + ); + + // Get machine precision + double mp = x02aj.eval(); + + for (int i = 0; i < nconv; i++) { + if (resid[i] > (double)(100*n*mp)) { + System.out.printf( + " %8d ( %13.5E , %13.5E ) %13.5E\n", + i + 1, w[i], resid[i] + ); + } + else { + System.out.printf( + " %8d ( %13.5E , %13.5E )\n", + i + 1, w[i].getRe(), w[i].getIm() + ); + } + } + + } + + public static class MYOPTION extends F02EK.Abstract_F02EK_OPTION { + + public void eval() { + F12AD f12ad = new F12AD(); + int ifail1; + String rec = " "; + + this.ISTAT = 0; + + if (this.IUSER[0] > 0) { + System.out.printf("Print Level=%5d\n", this.IUSER[0]); + ifail1 = 1; + f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[1] > 100) { + System.out.printf("Iteration Limit=%5d\n", this.IUSER[1]); + ifail1 = 1; + f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[2] > 0) { + ifail1 = 1; + f12ad.eval( + "Shifted Inverse Real ", this.ICOMM, this.COMM, ifail1 + ); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + } + + } + + public static class MYMONIT extends F02EK.Abstract_F02EK_MONIT { + + public NAGComplexInterface[] getW() { + return this.W; + } + + public void eval() { + + if (this.IUSER[3] > 0) { + + if (this.NITER == 1 && this.IUSER[2] > 0) { + System.out.printf( + " Arnoldi basis vectors used:%4d\n", this.NCV + ); + System.out.printf( + " The following Ritz values (mu) are related to the\n" + + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" + ); + } + + System.out.println(); + System.out.printf(" Iteration number %4d\n", this.NITER); + System.out.printf( + " Ritz values converged so far (%4d) and their Ritz" + + " estimates:\n", this.NCONV + ); + + for (int i = 0; i < this.NCONV; i++) { + System.out.printf( + " %4d (%13.5E,%13.5E) %13.5E\n", + i + 1, this.W[i].getRe(), this.W[i].getIm(), + this.RZEST[i] + ); + } + + System.out.printf(" Next (unconverged) Ritz value:\n"); + + System.out.printf( + " %4d (%13.5E,%13.5E)\n", + this.NCONV + 1, this.W[NCONV].getRe(), this.W[NCONV].getIm() + ); + + } + + this.ISTAT = 0; + + } + + } + +} diff --git a/simple_examples/int32/F02FKJE.java b/simple_examples/int32/F02FKJE.java new file mode 100644 index 0000000..0dd7ab9 --- /dev/null +++ b/simple_examples/int32/F02FKJE.java @@ -0,0 +1,230 @@ +import com.nag.routines.F02.F02FK; +import com.nag.routines.F12.F12FD; +import com.nag.routines.X04.X04AB; +import com.nag.routines.X04.X04CA; +import java.util.Arrays; + +/** + * F02FK example program text. + * @author joed + */ +public class F02FKJE { + + public static MYMONIT mymonit = new MYMONIT(); + public static MYOPTION myoption = new MYOPTION(); + + public static void main(String[] args) { + F02FK f02fk = new F02FK(); + X04AB x04ab = new X04AB(); + X04CA x04ca = new X04CA(); + double h2, sigma; + int iset = 1, ifail, imon, k, ldv, lo, maxit, mode, n, nconv, ncv, nev, + nnz, nx, outchn, prtlvl; + double[] a, dPrint, resid, v, w, ruser = new double[1]; + int[] icol, irow, iuser = new int[4]; + + + System.out.println(" F02FKJ Example Program Results"); + System.out.println(); + + nx = 20; + nev = 8; + ncv = 20; + sigma = 1.0; + + // Construct the matrix A in sparse form and store in A. + // The main diagonal of A is full and there are two subdiagonals of A: + // the first and the nx-th. + + n = nx * nx; + nnz = (3 * n) - (2 * nx); + a = new double[nnz]; + irow = new int[nnz]; + icol = new int[nnz]; + + // Zero out A. + Arrays.fill(a, 0.0); + + // Main diagonal of A. + h2 = 1.0 / (double)((nx + 1) * (nx + 1)); + for (int i = 1; i <= n; i++) { + irow[i - 1] = i; + icol[i - 1] = i; + a[i - 1] = 4.0 / h2; + } + + // First subdiagonal of A. + k = n; + for (int i = 1; i <= nx; i++) { + lo = (i - 1) * nx; + for (int j = lo + 1; j <= lo + nx - 1; j++) { + k += 1; + irow[k - 1] = j + 1; + icol[k - 1] = j; + a[k - 1] = -1.0 / h2; + } + } + + // nx-th subdiagonal. + for (int i = 1; i <= nx - 1; i++) { + lo = (i - 1) * nx; + for (int j = lo + 1; j <= lo + nx; j++) { + k += 1; + irow[k - 1] = j + nx; + icol[k - 1] = j; + a[k - 1] = -1.0 / h2; + } + } + + // Set some options via iuser array and routine argument OPTION. + // iuser[0] = print level, + // iuser[1] = iteration limit, + // iuser[2]>0 means shifted-invert mode + // iuser[3]>0 means print monitoring info + + prtlvl = 0; + maxit = 500; + mode = 1; + imon = 0; + + ruser[0] = 1.0; + iuser[0] = prtlvl; + iuser[1] = maxit; + iuser[2] = mode; + iuser[3] = imon; + + // Find eigenvalues of largest magnitude and the corresponding + // eigenvectors. + + ldv = n; + w = new double[ncv]; + v = new double[ldv * ncv]; + resid = new double[n]; + + nconv = 0; // placeholder + + ifail = -1; + f02fk.eval( + n, nnz, a, irow, icol, nev, ncv, sigma, mymonit, myoption, nconv, + w, v, ldv, resid, iuser, ruser, ifail + ); + ifail = f02fk.getIFAIL(); + nconv = f02fk.getNCONV(); + if (ifail != 0) { + System.err.println(" ** F02FK returned with IFAIL = " + ifail); + } + + + + // Print Eigenvalues and the residual norm ||A*x - lambda*x||. + dPrint = new double[nconv * 2]; + for (int i = 1; i <= nconv; i++) { + dPrint[getIdx(i, 1, nconv)] = w[i - 1]; + dPrint[getIdx(i, 2, nconv)] = resid[i - 1]; + } + + System.out.println(); + + ifail = 0; + x04ca.eval( + "G", "N", nconv, 2, dPrint, nconv, " Ritz values and residuals", + ifail + ); + + } + + public static class MYOPTION extends F02FK.Abstract_F02FK_OPTION { + + public void eval() { + F12FD f12fd = new F12FD(); + int ifail1; + String rec = " "; // Required len = 25 + + this.ISTAT = 0; + + if (this.IUSER[0] > 0) { + System.out.printf(" Print Level=%5d\n", this.IUSER[0]); + ifail1 = 1; + f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12fd.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[1] > 100) { + System.out.printf(" Iteration Limit=%5d\n", this.IUSER[1]); + ifail1 = 1; + f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12fd.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[2] > 0) { + ifail1 = 1; + f12fd.eval( + "Shifted Inverse ", this.ICOMM, this.COMM, ifail1 + ); + ifail1 = f12fd.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + } + + } + + public static class MYMONIT extends F02FK.Abstract_F02FK_MONIT { + + public void eval() { + + if (this.IUSER[3] > 0) { + + if (this.NITER == 1 && this.IUSER[2] > 0) { + System.out.printf( + " Arnoldi basis vectors used:%4d\n", this.NCV + ); + System.out.printf( + " The following Ritz values (mu) are related to the\n" + + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" + ); + } + + System.out.println(); + System.out.printf(" Iteration number %4d\n", this.NITER); + System.out.printf( + " Ritz values converged so far(%4d) and their Ritz" + + " estimates:\n", this.NCONV + ); + + for (int i = 0; i < this.NCONV; i++) { + System.out.printf( + " %4d %13.5E %13.5E\n", i+1, this.W[i], this.RZEST[i] + ); + } + + System.out.printf(" Next (uncoverged) Ritz value:\n"); + System.out.printf( + " %4d %13.5E\n", this.NCONV + 1, this.W[this.NCONV + 1] + ); + + } + + this.ISTAT = 0; + + } + + } + + /** + * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based + * Java index. + * + *

    Fortran array definition: + * a(dimX, *) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + +} diff --git a/simple_examples/int32/F02WGJE.java b/simple_examples/int32/F02WGJE.java new file mode 100644 index 0000000..36c26c6 --- /dev/null +++ b/simple_examples/int32/F02WGJE.java @@ -0,0 +1,132 @@ +import com.nag.routines.F02.F02WG; +import java.util.Arrays; + +/** + * F02WG example program text. + * @author joed + */ +public class F02WGJE { + + public static AV av = new AV(); + + public static void main(String[] args) { + int ifail, k, ldu, ldv, m, n, nconv, ncv; + double[] resid, sigma, u, v; + double[] ruser = new double[1]; + int[] iuser = new int[1]; + + /* Set up wrappers */ + F02WG f02wg = new F02WG(); + + System.out.println(" F02WGJ Example Program Results\n"); + + /* Set F02WG args */ + m = 100; + n = 500; + k = 4; + ncv = 10; + nconv = 0; + ldu = m; + ldv = n; + resid = new double[ncv]; + sigma = new double[ncv]; + u = new double[ldu * ncv]; + v = new double[ldv * ncv]; + ifail = 0; + + /* Call routine */ + f02wg.eval( + m, // Rows in A + n, // Cols in A + k, // Num. of singular values to be computed + ncv, // Dimension of sigma and resid + av, // Subroutine that returns Ax or (A^T)x + nconv, // [Output] + sigma, // [Output] + u, // [Output] + ldu, // 1st dimension of u + v, // [Output] + ldv, // 1st dimension of v + resid, // [Output] + iuser, + ruser, + ifail + ); + + /* Get non-array output args */ + ifail = f02wg.getIFAIL(); + nconv = f02wg.getNCONV(); + + /* Print results */ + System.out.println(" Singular Value Residual"); + for (int i = 0; i < nconv; i++) { + System.out.printf( + " %10.5f %10.2G\n", sigma[i], resid[i] + ); + } + + } + + public static class AV extends F02WG.Abstract_F02WG_AV { + + public void eval() { + + double H = 1.0 / ((double)(this.M + 1)); + double K = 1.0 / ((double)(this.N + 1)); + + if (this.IFLAG == 1) { + + for (int i = 0; i < this.M; i++) { + this.AX[i] = 0.0; + } + + double S = 0.0; + double T = 0.0; + + for (int j = 0; j < this.N; j++) { + T += K; + S = 0.0; + + for (int i = 0; i < Math.min(j+1, this.M); i++) { + S += H; + this.AX[i] += K * S * (T - 1.0) * this.X[j]; + } + for (int i = j + 1; i < this.M; i++) { + S += H; + this.AX[i] += K * T * (S - 1.0) * this.X[j]; + } + + } + + } + else { + + for (int i = 0; i < this.N; i++) { + this.AX[i] = 0.0; + } + + double S = 0.0; + double T = 0.0; + + for (int j = 0; j < this.N; j++) { + T += K; + S = 0.0; + + for (int i = 0; i < Math.min(j+1, this.M); i++) { + S += H; + this.AX[j] += K * S * (T - 1.0) * this.X[i]; + } + for (int i = j + 1; i < this.M; i++) { + S += H; + this.AX[j] += K * T * (S - 1.0) * this.X[i]; + } + + } + + } + + } + + } + +} diff --git a/simple_examples/int32/F03BAJE.java b/simple_examples/int32/F03BAJE.java new file mode 100644 index 0000000..673ddec --- /dev/null +++ b/simple_examples/int32/F03BAJE.java @@ -0,0 +1,108 @@ +import com.nag.routines.F03.F03BA; +import com.nag.routines.F07.F07AD; +import com.nag.routines.X04.X04CA; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * F03BAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class F03BAJE{ + + /** + * F03BAJ example main program. + */ + public static void main(String[] args){ + double d = 0; + int id = 0, ifail, info = 0, lda = 0, n = 0; + double[] a; + int[] ipiv; + + //Should initialise values so java doesn't give any errors because of try/catch + a = new double[n]; + ipiv = new int[n]; + + System.out.println("F03BAJ Example Program Results"); + + //If file name not given print usage info + if(args.length != 1){ + F03BAJE.usage(); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[1]); + + lda = n; + + //reallocate with values from data file + a = new double[n * lda]; + ipiv = new int[n]; + + //read in matrix + for(int i = 0; i < n; i++){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < n; j++){ + a[i + (j * n)] = Double.parseDouble(sVal[j]); + } + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + F07AD f07ad = new F07AD(n, n, a, lda, ipiv, info); + f07ad.eval(); + + ifail = 0; + + //Print out matrix + System.out.println(); + X04CA x04ca = new X04CA("G", "N", n, n, a, lda, "Array A after factorization", ifail); + x04ca.eval(); + + System.out.println(); + System.out.println("Pivots"); + for(int i = 0; i < n; i++){ + System.out.printf("\t%d ", ipiv[i]); + } + System.out.printf("\n"); + System.out.println(); + + ifail = 0; + + F03BA f03ba = new F03BA(n, a, lda, ipiv, d, id, ifail); + f03ba.eval(); + d = f03ba.getD(); + id = f03ba.getID(); + + System.out.printf("D = \t%.5f ID = \t%d\n", d, id); + System.out.println(); + System.out.printf("Value of determinant = %.5e\n", d * Math.pow(2.0, id)); + + } + + /** + * Print usage information. + */ + private static void usage(){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + +} + diff --git a/simple_examples/int32/F04AMJE.java b/simple_examples/int32/F04AMJE.java new file mode 100644 index 0000000..a498b2b --- /dev/null +++ b/simple_examples/int32/F04AMJE.java @@ -0,0 +1,114 @@ +import com.nag.routines.F04.F04AM; +import com.nag.routines.X02.X02AJ; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * F04AMJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class F04AMJE{ + + /** + * F04AMJ example main program. + */ + public static void main(String[] args){ + int m = 0, n = 0; + int ifail, ir, lda, ldb, ldqr, ldx; + double eps; + double[] a, b, alpha, e, qr, r, x, y, z; + int[] ipiv; + + System.out.println("F04AMJ Example Program Results"); + + if(args.length != 1){ + F04AMJE.usage(); + } + + //declare so try/catch works + a = new double[0]; + b = new double[0]; + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + m = Integer.parseInt(sVal[1]); + n = Integer.parseInt(sVal[2]); + + a = new double[m * n]; + b = new double[m * 1]; + + for(int i = 0; i < m; i++){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < n; j++){ + a[i + (j * m) ] = Double.parseDouble(sVal[j]); + } + for(int j = n; j < m; j++){ + b[i + (j * (m - (n + 1)))] = Double.parseDouble(sVal[j]); + } + } + } + catch(FileNotFoundException err){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException err){ + System.err.println("***FATAL: Can't read " + filename + "\n" + err.getMessage()); + } + //Setting these in try block is more robust but less neat + //May be needed for array sizes~ + ir = 1; + lda = m; + ldb = m; + ldqr = m; + ldx = n; + + alpha = new double[n]; + e = new double[n]; + qr = new double[ldqr * n]; + r = new double[m]; + x = new double[ldx * ir]; + y = new double[n]; + z = new double[n]; + ipiv = new int[n]; + + X02AJ x02aj = new X02AJ(); + eps = x02aj.eval(); + + ifail = 0; + + F04AM f04am = new F04AM(a, lda, x, ldx, b, ldb, m, n, ir, eps, qr, ldqr, alpha, e, y, z, r, ipiv, ifail); + f04am.eval(); + //update any values you want here + x = f04am.getX(); + + System.out.println("Solution"); + for(int i = 0; i < n; i++){ + for(int j = 0; j < ir; j++){ + System.out.printf("%.4f ", x[j + (i * ir)]); + } + System.out.printf("\n"); + } + } + + /** + * No arguments supplied when example runs + */ + private static void usage() { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} + + + + + + diff --git a/simple_examples/int32/F04BAJE.java b/simple_examples/int32/F04BAJE.java new file mode 100644 index 0000000..79c2b01 --- /dev/null +++ b/simple_examples/int32/F04BAJE.java @@ -0,0 +1,144 @@ +import com.nag.routines.F04.F04BA; +import com.nag.routines.X04.X04CA; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * F04BAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class F04BAJE{ + + /** + * F04BAJ example main program. + */ + public static void main(String[] args){ + int n = 0, nrhs = 0, lda = 0, ldb = 0; //placeholder + int ierr, ifail; + double errbnd, rcond; + double a[], b[]; + int ipiv[]; + + a = new double[0]; b = new double[0]; //placeholder + + if(args.length != 1){ + F04BAJE.usage(); + } + + System.out.println("F04BAJ Example Program Results"); + System.out.println(); + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[1]); + nrhs = Integer.parseInt(sVal[2]); + + lda = n; + ldb = n; + + a = new double[lda * n]; + b = new double[ldb * nrhs]; + + line = reader.readLine(); + for(int i = 0; i < lda; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < n; j++){ + a[i + (j * n)] = Double.parseDouble(sVal[j + 1]); + } + } + + line = reader.readLine(); + for(int i = 0; i < ldb; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < nrhs; j++){ + b[i + (j * n)] = Double.parseDouble(sVal[j + 1]); + } + } + + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = 1; + ipiv = new int[n]; + rcond = 0; + errbnd = 0; + F04BA f04ba = new F04BA(n, nrhs, a, lda, ipiv, b, ldb, rcond, errbnd, ifail); + f04ba.eval(); + + ifail = f04ba.getIFAIL(); + rcond = f04ba.getRCOND(); + errbnd = f04ba.getERRBND(); + ipiv = f04ba.getIPIV(); + a = f04ba.getA(); + b = f04ba.getB(); + + if(ifail == 0){ + //Print solution, estimate of condition number and approximate error bound. + ierr = 0; + X04CA x04ca = new X04CA("General", " ", n, nrhs, b, ldb, "Solution", ierr); + x04ca.eval(); + + System.out.println(); + System.out.println("Estimate of condition number"); + System.out.printf("%.1e\n", 1/rcond); + System.out.println(); + System.out.println("Esttimate of error bound for computed solutions"); + System.out.printf("%.1e\n", errbnd); + } + else if(ifail == (n + 1)){ + //Matrix A is numerically singular. Print estimate of reciprocal of condition number and solution. + System.out.println(); + System.out.println("Estimate of reciprocal of condition number"); + System.out.printf("%.1e\n", rcond); + System.out.println(); + + ierr = 0; + X04CA x04ca = new X04CA("General", " ", n, nrhs, b, ldb, "Solution", ierr); + x04ca.eval(); + } + else if(ifail > 0 && ifail <= n){ + //The upper triangular matrix U is exactly singular. Print details of factorization. + System.out.println(); + + ierr = 0; + X04CA x04ca = new X04CA("General", " ", n, n, a, lda, "Details of factorization", ierr); + x04ca.eval(); + + System.out.println(); + System.out.println("Pivot indices"); + for(int i = 0; i < n; i++){ + System.out.printf("%d ", ipiv[i]); + } + System.out.printf("\n"); + } + else{ + System.out.printf(" ** F04BAF returned with IFAIL = %d\n", ifail); + } + + } + + /** + * No arguments supplied when example runs + */ + private static void usage() { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} diff --git a/simple_examples/int32/F05AAJE.java b/simple_examples/int32/F05AAJE.java new file mode 100644 index 0000000..317c269 --- /dev/null +++ b/simple_examples/int32/F05AAJE.java @@ -0,0 +1,99 @@ +import com.nag.routines.F05.F05AA; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * F05AAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class F05AAJE{ + + /** + * F05AAJ example main program. + */ + public static void main(String[] args) { + //Should initialise values to avoid issues with try/catch + int icol = 0, ifail = 0, lda = 0, m = 0, n1 = 0, n2 = 0; + double cc = 0; + double[] a, s; + + //same as ints + a = new double[1]; + s = new double[1]; + System.out.println("F05AAJ Example Program Results"); + System.out.println(); + + //supply data + if(args.length != 1){ + F05AAJE.usage(); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+");; + m = Integer.parseInt(sVal[1]); + n1 = Integer.parseInt(sVal[2]); + n2 = Integer.parseInt(sVal[3]); + lda = m; + + a = new double[lda*n2]; + s = new double[n2]; + + //read in a from data + for(int i = 0; i < n2; i++){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < m; j++){ + a[i + (j * n2)] = Double.parseDouble(sVal[j]); + } + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + //create object then eval + F05AA f05aa = new F05AA(a, lda, m, n1, n2, s, cc, icol, ifail); + f05aa.eval(); + + //update values + n1 = f05aa.getN1(); + n2 = f05aa.getN2(); + cc = f05aa.getCC(); + icol = f05aa.getICOL(); + a = f05aa.getA(); + + System.out.printf("N1 = %d N2 = %d\n", n1, n2); + System.out.println(); + System.out.printf("CC = %.4f ICOL = %d\n", cc, icol); + System.out.println(); + System.out.println("Final Vectors"); + + for(int i = 0; i < n2; i++){ + for(int j = 1; j < m; j++){ + System.out.printf("%.4f ", a[i +(j * n2)]); + } + System.out.printf("\n"); + } + } + + /** + * Print usage information. + */ + private static void usage(){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} + diff --git a/simple_examples/int32/F06CLJE.java b/simple_examples/int32/F06CLJE.java new file mode 100644 index 0000000..ca2ac5e --- /dev/null +++ b/simple_examples/int32/F06CLJE.java @@ -0,0 +1,40 @@ +import com.nag.routines.F06.F06CL; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +/** + * F06CL example program text. + * @author ludovic + */ +public class F06CLJE { + + public static void main(String[] args) { + boolean fail = false; + NAGComplex z1 = new NAGComplex(); + NAGComplex z2 = new NAGComplex(); + NAGComplex z3 = new NAGComplex(); + + System.out.println(" F06CLJ Example Program Results"); + System.out.println(); + + Routine.complex = z1; + + z1.setRe(1.0); + z1.setIm(1.0); + z2.setRe(2.0); + z2.setIm(2.0); + + F06CL f06cl = new F06CL(z1,z2,fail); + z3 = (NAGComplex)f06cl.eval(); + fail = f06cl.getFAIL(); + + if (fail) { + System.err.println(" Something went wrong..."); + } + else { + System.out.println(" " + z1.toString() + "/"+ z2.toString() + " = " + z3.toString()); + } + + } + +} diff --git a/simple_examples/int32/F07AAJE.java b/simple_examples/int32/F07AAJE.java new file mode 100644 index 0000000..26eb5dc --- /dev/null +++ b/simple_examples/int32/F07AAJE.java @@ -0,0 +1,90 @@ +import com.nag.routines.F07.F07AA; +import com.nag.routines.X04.X04CA; +import java.util.Arrays; + +/** + * F07AA example program text. + * @author joed + */ +public class F07AAJE { + + public static void main(String[] args) { + + int i, ifail, info, lda, ldb, n; + double[] a, b; + int[] ipiv; + + System.out.println(" F07AAJ Example Program Results"); + System.out.println(); + + n = 4; + lda = n; + ldb = n; + + a = new double[n*n]; + b = new double[n]; + ipiv = new int[n]; + + a[0+0*n] = 1.80; + a[0+1*n] = 2.88; + a[0+2*n] = 2.05; + a[0+3*n] = -0.89; + a[1+0*n] = 5.25; + a[1+1*n] = -2.95; + a[1+2*n] = -0.95; + a[1+3*n] = -3.80; + a[2+0*n] = 1.58; + a[2+1*n] = -2.69; + a[2+2*n] = -2.90; + a[2+3*n] = -1.04; + a[3+0*n] = -1.11; + a[3+1*n] = -0.66; + a[3+2*n] = -0.59; + a[3+3*n] = 0.80; + + b[0] = 9.52; + b[1] = 24.35; + b[2] = 0.77; + b[3] = -6.22; + + /* Solve the equations Ax = b for x */ + + F07AA f07aa = new F07AA(); + info = 0; + f07aa.eval(n, 1, a, lda, ipiv, b, ldb, info); + info = f07aa.getINFO(); + + if (info == 0) { + + /* Print solution */ + + System.out.println(" Solution"); + for (i = 0; i < n; i++) { + System.out.printf(" %11.4f", b[i]); + } + System.out.printf("\n"); + + /* Print details of factorization */ + + System.out.println(); + X04CA x04ca = new X04CA(); + ifail = 0; + x04ca.eval("General", " ", n, n, a, lda, "Details of factorization", ifail); + + /* Print pivot indices */ + + System.out.println(); + System.out.println(" Pivot indices"); + for (i = 0; i < n; i++) { + System.out.printf(" %11d", ipiv[i]); + } + System.out.printf("\n"); + + } + else { + System.err.printf(" The (%3d,%3d) element of the factor U is zero\n", info, info); + } + + } + +} diff --git a/simple_examples/int32/F07ABJE.java b/simple_examples/int32/F07ABJE.java new file mode 100644 index 0000000..6362739 --- /dev/null +++ b/simple_examples/int32/F07ABJE.java @@ -0,0 +1,134 @@ +import com.nag.routines.F07.DGESVX; +import com.nag.routines.X04.X04CA; + +/** + * F07ABJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class F07ABJE{ + + /** + * F07ABJ example main program + */ + public static void main(String[] args){ + double rcond = 0; + int ifail, info = 0, lda, ldaf, ldb, ldx, n, nrhs; //placeholders + String equed; + double[] a, af, b, berr, c, ferr, r, work, x; + int[] ipiv, iwork; + + System.out.println("F07ABJ Example Program Results"); + System.out.println(); + + //Problem size + n = 4; + nrhs = 2; + lda = n; + ldaf = n; + ldb = n; + ldx = n; + + //Allocate + a = new double[lda * n]; + af = new double[ldaf * n]; + b = new double[ldb * nrhs]; + berr = new double[nrhs]; + c = new double[n]; + ferr = new double[nrhs]; + r = new double[n]; + work = new double[4 * n]; + x = new double[ldx * nrhs]; + ipiv = new int[n]; + iwork = new int[n]; + equed = " "; + + //Matrices A and B + a[0] = 1.8; + a[1] = 525; + a[2] = 1.58; + a[3] = -1.11; + a[4] = 2.88; + a[5] = -295; + a[6] = -2.69; + a[7] = -0.66; + a[8] = 2.05; + a[9] = -95; + a[10] = -2.9; + a[11] = -0.59; + a[12] = -0.89; + a[13] = -380; + a[14] = -1.04; + a[15] = 0.8; + b[0] = 9.52; + b[1] = 2435; + b[2] = 0.77; + b[3] = -6.22; + b[4] = 18.47; + b[5] = 225; + b[6] = -13.28; + b[7] = -6.21; + + //Solve the equations AX = B for X + //The NAG name equivalent of dgesvx is f07abf + DGESVX dgesvx = new DGESVX("Equilibration", "No Transpose", n, nrhs, a, lda, af, ldaf, ipiv, equed, r, + c, b, ldb, x, ldx, rcond, ferr, berr, work, iwork, info); + dgesvx.eval(); + + //Update + info = dgesvx.getINFO(); + equed = dgesvx.getEQUED(); + rcond = dgesvx.getRCOND(); + + if(info == 0 || info == n + 1){ + //Print solution, error bounds, condition number, the form of equilibration and the pivot growth factor + + //ifail: behaviour on error exit + // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft + ifail = 0; + X04CA x04ca = new X04CA("General", " ", n, nrhs, x, ldx, "Solution(s)", ifail); + x04ca.eval(); + + System.out.println(); + System.out.println("Backward errors (machine-dependent)"); + for(int i = 0; i < nrhs; i++){ + System.out.printf(" %.1e ", berr[i]); + } + System.out.println(); + System.out.println(); + System.out.println("Estimated forward error bounds (machine-dependent)"); + for(int i = 0; i < nrhs; i++){ + System.out.printf(" %.1e ", ferr[i]); + } + System.out.println(); + System.out.println(); + if(equed.equals("N")){ + System.out.println("A has not been equilibrated"); + } + else if(equed.equals("R")){ + System.out.println("A has been row scaled as diag(R)*A"); + } + else if(equed.equals("C")){ + System.out.println("A has been column scaled as A*diag(C)"); + } + else if(equed.equals("B")){ + System.out.println("A has been row and column scaled as diag(R)*A*diag(C)"); + } + System.out.println(); + System.out.println("Reciprocal condition number estimate of scaled matrix"); + System.out.printf(" %.1e\n", rcond); + System.out.println(); + System.out.println("Estimate of reciprocal pivot growth factor"); + System.out.printf(" %.1e\n", work[0]); + System.out.println(); + + if(info == n + 1){ + System.out.println(); + System.out.println("The matrix A is singular to working precision"); + } + } + else{ + System.out.println("The (" + info + ", " + info + ")" + " element of the factor U is zero"); + } + } +} diff --git a/simple_examples/int32/F07ADJE.java b/simple_examples/int32/F07ADJE.java new file mode 100644 index 0000000..4450683 --- /dev/null +++ b/simple_examples/int32/F07ADJE.java @@ -0,0 +1,72 @@ +import com.nag.routines.F07.DGETRF; +import com.nag.routines.X04.X04CA; + +/** + * F07ADJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class F07ADJE{ + + /** + * F07ADJ Example main program + */ + public static void main(String[] args){ + int ifail, info = 0, lda, m, n; + double[] a; + int[] ipiv; + + System.out.println("F07ADJ Example Program Results"); + System.out.println(); + + //Problem size (can be read from data file) + m = 4; + n = 4; + lda = m; + + //Data + ipiv = new int[n]; + a = new double[m * n]; + a[0] = 1.8; + a[1] = 5.25; + a[2] = 1.58; + a[3] = -1.11; + a[4] = 2.88; + a[5] = -2.95; + a[6] = -2.69; + a[7] = -0.66; + a[8] = 2.05; + a[9] = -0.95; + a[10] = -2.9; + a[11] = -0.59; + a[12] = -0.89; + a[13] = -3.8; + a[14] = -1.04; + a[15] = 0.8; + + //Factorize A + //The NAG name equivalent of dgetrf is F07ADF + DGETRF dgetrf = new DGETRF(m, n, a, lda, ipiv, info); + dgetrf.eval(); + + //Update + info = dgetrf.getINFO(); + + //ifail: behaviour on error exit + // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft + ifail = 0; + X04CA x04ca = new X04CA("General", " ", m, n, a, lda, "Details of factorization", ifail); + x04ca.eval(); + + //Print pivot indices + System.out.println("IPIV"); + for(int i = 0; i < Math.min(m, n); i++){ + System.out.printf("\t%d", ipiv[i]); + } + System.out.println(); + + if(info != 0){ + System.out.println("The factor U is singular"); + } + } +} diff --git a/simple_examples/int32/F07AQJE.java b/simple_examples/int32/F07AQJE.java new file mode 100644 index 0000000..5ee47e5 --- /dev/null +++ b/simple_examples/int32/F07AQJE.java @@ -0,0 +1,99 @@ +import com.nag.routines.F07.F07AQ; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; +import com.nag.types.NAGComplexF; + +/** + * F07AQ example program text. + * @author joed + * @since 27.1.0.0 + */ +public class F07AQJE { + + public static void main(String[] args) { + + F07AQ f07aq = new F07AQ(); + int info, iter, lda, ldb, ldx, n, r; + NAGComplex[] a, b, work, x; + NAGComplexF[] swork; + double[] rwork; + int[] ipiv; + + System.out.println(" F07AQJ Example Program Results"); + System.out.println(); + + // Set dimensions and instantiate arrays + n = 4; + r = 1; + lda = ldb = ldx = n; + a = new NAGComplex[lda*n]; + b = new NAGComplex[ldb*r]; + work = (NAGComplex[]) (new NAGComplex()).getArrayOfInstances(n*r); + x = (NAGComplex[]) (new NAGComplex()).getArrayOfInstances(ldx*r); + swork = (NAGComplexF[]) (new NAGComplexF()).getArrayOfInstances(n*(n+r)); + ipiv = new int[n]; + rwork = new double[n]; + + // Set A + a[0] = new NAGComplex(-1.34, 2.55); // Column 1 + a[1] = new NAGComplex(-0.17, -1.41); + a[2] = new NAGComplex(-3.29, -2.39); + a[3] = new NAGComplex(2.41, 0.39); + a[4] = new NAGComplex(0.28, 3.17); // Column 2 + a[5] = new NAGComplex(3.31, -0.15); + a[6] = new NAGComplex(-1.91, 4.42); + a[7] = new NAGComplex(-0.56, 1.47); + a[8] = new NAGComplex(-6.39, -2.20); // Column 3 + a[9] = new NAGComplex(-0.15, 1.34); + a[10] = new NAGComplex(-0.14, -1.35); + a[11] = new NAGComplex(-0.83, -0.69); + a[12] = new NAGComplex(0.72, -0.92); // Column 4 + a[13] = new NAGComplex(1.29, 1.38); + a[14] = new NAGComplex(1.72, 1.35); + a[15] = new NAGComplex(-1.96, 0.67); + + // Set B + b[0] = new NAGComplex(26.26,51.78); + b[1] = new NAGComplex( 6.43,-8.68); + b[2] = new NAGComplex(-5.75,25.31); + b[3] = new NAGComplex( 1.16, 2.57); + + // Notify wrappers of complex types + Routine.setComplex(new NAGComplex()); + Routine.setComplexF(new NAGComplexF()); + + // Solve the equations Ax = b for x + iter = info = 0; + f07aq.eval(n, r, a, lda, ipiv, b, ldb, x, ldx, work, swork, rwork, iter, info); + iter = f07aq.getITER(); + info = f07aq.getINFO(); + + if (info == 0) { + + // Print solution + + System.out.println(" Solution"); + for (int i = 0; i < n; i++) { + for (int j = 0; j < r; j++) { + System.out.printf(" (%7.4f,%7.4f)", x[j*n+i].getRe(), x[j*n+i].getIm()); + } + } + System.out.println(); + + // Print pivot indices + + System.out.println(); + System.out.println(" Pivot indices"); + for (int i = 0; i < n; i++) { + System.out.printf(" %11d", ipiv[i]); + } + System.out.println(); + + } + else { + System.out.printf(" The (%3d,%3d) element of the factor U is zero", info, iter); + } + + } + +} diff --git a/simple_examples/int32/F07FAJE.java b/simple_examples/int32/F07FAJE.java new file mode 100644 index 0000000..e516051 --- /dev/null +++ b/simple_examples/int32/F07FAJE.java @@ -0,0 +1,79 @@ +import com.nag.routines.F07.F07FA; +import com.nag.routines.X04.X04CA; + +/** + * F07FA example program text. + * @author saraht + */ +public class F07FAJE { + + public static void main(String[] args) { + + int i, ifail, info, lda, n; + double[] a, b; + + System.out.println(" F07FAJ Example Program Results"); + System.out.println(); + + n = 4; + lda = n; + + a = new double[n*n]; + b = new double[n]; + + /* A = 4.16 -3.12 0.56 -0.10 + 5.03 -0.83 1.18 + 0.76 0.34 + 1.18 */ + + a[0+0*n] = 4.16; + a[0+1*n] = -3.12; + a[0+2*n] = 0.56; + a[0+3*n] = -0.10; + + a[1+1*n] = 5.03; + a[1+2*n] = -0.83; + a[1+3*n] = 1.18; + + a[2+2*n] = 0.76; + a[2+3*n] = 0.34; + + a[3+3*n] = 1.18; + + b[0] = 8.70; + b[1] = -13.35; + b[2] = 1.89; + b[3] = -4.14; + + /* Solve the equations Ax = b for x */ + + F07FA f07fa = new F07FA(); + info = 0; + f07fa.eval("Upper", n, 1, a, lda, b, n, info); + info = f07fa.getINFO(); + + if (info == 0) { + + /* Print solution */ + + System.out.println(" Solution"); + for (i = 0; i < n; i++) { + System.out.printf(" %11.4f", b[i]); + } + System.out.printf("\n"); + + /* Print details of factorization */ + + System.out.println(); + X04CA x04ca = new X04CA(); + ifail = 0; + x04ca.eval("Upper", "Non-unit diagonal", n, n, a, lda, "Cholesky factor U", ifail); + + } + else { + System.err.printf(" The leading minor of order %d is not positive definite \n", info); + } + + } + +} diff --git a/simple_examples/int32/F07FBJE.java b/simple_examples/int32/F07FBJE.java new file mode 100644 index 0000000..09bbd37 --- /dev/null +++ b/simple_examples/int32/F07FBJE.java @@ -0,0 +1,122 @@ +import com.nag.routines.F07.F07FB; +import com.nag.routines.X04.X04CA; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * F07FB example program text. + * @author ludovic + */ +public class F07FBJE { + + public static void main(String[] args) { + String fact,uplo,equed; + int n, nrhs,lda,ldaf,ldb,ldx; + int[] iwork; + double rcond; + double[] a,af,s,b,x,ferr,berr,work; + int info,ifail; + lda = 4; + ldaf = lda; + ldb = lda; + ldx = lda; + nrhs = 2; + n = 4; + a = new double[lda*lda]; + af = new double[ldaf*ldaf]; + b = new double[ldb*nrhs]; + berr = new double[nrhs]; + ferr = new double[nrhs]; + s = new double[lda]; + work = new double[3*lda]; + x = new double[ldx*nrhs]; + iwork = new int[lda]; + info = 1; + rcond = Double.NaN; + fact = "E"; + uplo = "U"; + equed = "Z";//dummy value + /*A = 4.16 -3.12 0.56 -0.10 + 5.03 -0.83 1.18 + 0.76 0.34 + 1.18*/ + a[0] = 4.16; + + a[4] = -3.12; + a[5] = 5.03; + + a[8] = 0.56; + a[9] = -0.83; + a[10] = 0.76; + + a[12] = -0.10; + a[13] = 1.18; + a[14] = 0.34; + a[15] = 1.18; + + /*B= 8.70 8.30 + -13.35 2.13 + 1.89 1.61 + - 4.14 5.00*/ + b[0] = 8.70; + b[1] = -13.35; + b[2] = 1.89; + b[3] = -4.14; + + b[4] = 8.30; + b[5] = 2.13; + b[6] = 1.61; + b[7] = 5.00; + + System.out.println(" F07FBJ Example Program Results"); + System.out.println(); + + F07FB f07fb = new F07FB(fact, uplo, n, nrhs, a, lda, af, ldaf, equed, s, b, + ldb, x, ldx, rcond, ferr, berr, work, iwork, info); + f07fb.eval(); + fact = f07fb.getFACT(); + uplo = f07fb.getUPLO(); + equed = f07fb.getEQUED(); + rcond = f07fb.getRCOND(); + info = f07fb.getINFO(); + + + if ((info == 0) || (info == n+1)) { + ifail = 0; + (new X04CA()).eval("General"," ",n,nrhs,x,ldx,"Solution(s)",ifail); + System.out.println(); + System.out.println(" Backward errors (machine-dependent)"); + System.out.print(" "); + for (int ii = 0; ii < nrhs; ++ii) { + System.out.printf(" %11.1e",berr[ii]); + } + System.out.println("\n"); + System.out.println(" Estimated forward error bounds (machine-dependent)"); + System.out.print(" "); + for (int ii = 0; ii < nrhs; ++ii) { + System.out.printf(" %11.1e",ferr[ii]); + } + System.out.println("\n"); + System.out.println(" Estimate of reciprocal condition number"); + System.out.printf(" %11.1e\n",rcond); + System.out.println(); + if (equed.equalsIgnoreCase("N")) { + System.out.println(" A has not been equilibrated"); + } + else if (equed.equalsIgnoreCase("N")) { + System.out.println(" A has been row and column scaled as diag(S)*A*diag(S)"); + } + + if (info == n+1) { + System.out.println(); + System.out.println(" The matrix A is singular to working precision"); + } + + } + else { + System.out.printf(" The leading minor of order %3d is not positive definite\n"); + } + + } + +} diff --git a/simple_examples/int32/F08BTJE.java b/simple_examples/int32/F08BTJE.java new file mode 100644 index 0000000..43c219b --- /dev/null +++ b/simple_examples/int32/F08BTJE.java @@ -0,0 +1,228 @@ +import static java.lang.Math.*; + +import com.nag.routines.F06.F06JJ; +import com.nag.routines.F06.F06ZJ; +import com.nag.routines.F08.F08AU; +import com.nag.routines.F08.F08BT; +import com.nag.routines.Routine; +import com.nag.routines.X04.X04DB; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.regex.Matcher; +import java.util.regex.Pattern; + +/** + * F08BT example program text. + * @author ludovic + */ +public class F08BTJE { + + public static void main(String[] args) throws FileNotFoundException, IOException { + int incl = 1, nb = 64; + double tol; + int ifail, info = 0, k, lda, ldb, lwork, m, n, nrhs; + NAGComplex[] a, b, tau, work; + double[] rnorm, rwork; + int[] jpvt; + String[] clabs = new String[]{" "}, rlabs = new String[]{" "}; + + // Setup complex constants + NAGComplex one = new NAGComplex(); + NAGComplex zero = new NAGComplex(); + one.setRe(1.0); + one.setIm(0.0); + zero.setRe(0.0); + zero.setIm(0.0); + + // Inform the Routine class of the type of complex in use - can use any complex object + Routine.complex = one; + + System.out.println(" F08BTJ Example Program Results"); + System.out.println(); + + // Read values from data file + BufferedReader br = new BufferedReader(new FileReader(args[0])); + String line = br.readLine(); + line = br.readLine().trim(); + line = br.readLine().trim(); + String[] vals = line.split("\\s+"); + m = Integer.parseInt(vals[0].trim()); + n = Integer.parseInt(vals[1].trim()); + nrhs = Integer.parseInt(vals[2].trim()); + lda = ldb = m; + lwork = (n + 1) * nb; + a = new NAGComplex[lda * n]; + b = new NAGComplex[ldb * nrhs]; + tau = new NAGComplex[n]; + work = new NAGComplex[lwork]; + rnorm = new double[nrhs]; + rwork = new double[2 * n]; + jpvt = new int[n]; + + // Actually initialize the complex arrays + for (int i = 0; i < a.length; ++i) { + a[i] = new NAGComplex(); + } + for (int i = 0; i < b.length; ++i) { + b[i] = new NAGComplex(); + } + for (int i = 0; i < tau.length; ++i) { + tau[i] = new NAGComplex(); + } + for (int i = 0; i < work.length; ++i) { + work[i] = new NAGComplex(); + } + + /* Read A and B from data file */ + + readCompMatrix(br, a, lda, n); + readCompMatrix(br, b, ldb, nrhs); + br.close(); + + /* Initialize JPVT to be zero so that all columns are free */ + + for (int i = 0; i < n; ++i) { + jpvt[i] = 0; + } + + /* Compute the QR factorization of A */ + + F08BT f08bt = new F08BT(m, n, a, lda, jpvt, tau, work, lwork, rwork, info); + f08bt.eval(); + + /* Compute C = (C1) = (Q**H)*B, storing the result in B (C2) */ + + String side = "Left"; + String conjTrans = "Conjugate Transpose"; + F08AU f08au = new F08AU(side, conjTrans, m, nrhs, n, a, lda, tau, b, ldb, work, lwork, info); + f08au.eval(); + a = (NAGComplex[])f08au.getA(); + + /* Choose TOL to reflect the relative accuracy of the input data */ + + tol = 0.01; + + /* Determine and print the rank, K, or R relative to TOL */ + + for (k = 1; k < n + 1; ++k) { + if (abs(a[k - 1 + lda * (k - 1)]) <= tol * abs(a[0])) { + break; + } + } + k = k - 1; + + System.out.println(" Tolerance used to estimate the rank of A"); + System.out.printf(" %11.2E\n", tol); + System.out.println(" Estimated rank of A"); + System.out.printf(" %8d\n", k); + + /* Compute least squares solutions by back-substitution in R(1:K,1:K)*Y = C1 + * storing the result in B */ + + String upDown = "Upper"; + String trans = "No transpose"; + String unit = "Non-Unit"; + F06ZJ f06zj = new F06ZJ(side, upDown, trans, unit, k, nrhs, one, a, lda, b, ldb); + f06zj.eval(); + + /* Compute estimates of the square roots of the residual sums of squares + * (2-norm of each of the columns of C2) */ + + int mMinusK = m - k; + NAGComplex[] btmp = new NAGComplex[b.length]; + for (int i = 0; i < btmp.length; ++i) { + btmp[i] = new NAGComplex(); + } + System.arraycopy(b, k, btmp, 0, b.length - k); + + F06JJ f06jj = new F06JJ(mMinusK, btmp, incl); + rnorm[0] = f06jj.eval(mMinusK, btmp, incl); + System.arraycopy(btmp, 0, b, k, b.length - k); + for (int j = 1; j < nrhs; ++j) { + System.arraycopy(b, k + j * ldb, btmp, 0, b.length - k - j * ldb); + rnorm[j] = f06jj.eval(mMinusK, btmp, incl); + System.arraycopy(btmp,0, b, k + j * ldb, b.length - k - j * ldb); + } + + /* Set the remaining elements of the solutions to zero (to give the + * basic solutions) */ + + for (int i = k; i < n; ++i) { + for (int j = 0; j < nrhs; ++j) { + NAGComplex tmp = new NAGComplex(); + tmp.setRe(0.0); + tmp.setIm(0.0); + b[i + j * ldb] = tmp; + } + } + + /* Permute the least squares solution stored in B to give X = P*Y */ + + for (int j = 0; j < nrhs; j++) { + for (int i = 0; i < n; i++) { + work[jpvt[i] - 1] = b[j*ldb + i]; + } + for (int i = 0; i < n; i++) { + b[j*ldb + i] = work[i]; + } + } + + /* Print least squares solutions */ + + X04DB x04db = new X04DB(); + ifail = 0; + x04db.eval("General"," ",n,nrhs,b,ldb,"Bracketed","F7.4","Least squares solution(s)", + "Integer",rlabs,"Integer",clabs,80,0,ifail); + + /* Print the square roots of the residual sums of squares */ + + System.out.println(); + System.out.println(" Square root(s) of the residual sum(s) of squares"); + System.out.printf(" "); + for (int i = 0; i < nrhs; ++i) { + System.out.printf("%11.2E", rnorm[i]); + } + System.out.println(); + + } + + private static void readCompMatrix(BufferedReader br, NAGComplex[] mat, int row, + int col) throws IOException { + + // matches one complex number (without the brackets...) + String complexPat = "\\(([,0-9\\.\\-\\+\\s]*)\\)"; + String fullPattern = complexPat; + for (int i = 0; i < col -1; ++i) { + fullPattern = fullPattern + "\\s*" + complexPat; + } + fullPattern = fullPattern + ".*"; + Pattern comppat = Pattern.compile(fullPattern); + + for (int i = 0; i < row; ++i) { + String line = br.readLine().trim(); + if (line.equalsIgnoreCase("")) { + line = br.readLine().trim(); + } + Matcher m = comppat.matcher(line.trim()); + if (m.matches()) { + for (int j = 0; j < col; ++j) { + String[] numbers = m.group(j + 1).trim().split(","); + mat[i + j * row].setRe(Double.parseDouble(numbers[0].trim())); + mat[i + j * row].setIm(Double.parseDouble(numbers[1].trim())); + // System.out.print("mat["+i+","+j+"]=("+numbers[0].trim()+","+numbers[1].trim()+") "); + } + // System.out.println(); + } + + + } + } + + private static double abs(NAGComplex z) { + return sqrt(z.getRe() * z.getRe() + z.getIm() * z.getIm()); + } + +} diff --git a/simple_examples/int32/F08FAJE.java b/simple_examples/int32/F08FAJE.java new file mode 100644 index 0000000..028f854 --- /dev/null +++ b/simple_examples/int32/F08FAJE.java @@ -0,0 +1,113 @@ +import com.nag.routines.F08.DDISNA; +import com.nag.routines.F08.F08FA; +import com.nag.routines.F16.F16JQ; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X04.X04CA; +import java.util.Arrays; +import java.util.logging.Level; +import java.util.logging.Logger; + + +/** + * F08FA example program text. + * @author ludovic + */ +public class F08FAJE { + + public static void main(String[] args) { + int n = 4, LWork = n*64, lda = n; + double[] a, w, work,zerrbd,rcondz, colVector; + int info = 0, ifail = 0, k = 0; + a = new double[n * n]; + w = new double[n]; + work = new double[LWork]; + zerrbd = new double[n]; + rcondz = new double[n]; + colVector = new double[n]; + + System.out.println(" F08FAJ Example Program Results\n"); + + //array a : Stored in column major way + + a[0] = 1.0; + a[1] = 2.0; + a[2] = 3.0; + a[3] = 4.0; + + a[4] = 2.0; + a[5] = 2.0; + a[6] = 3.0; + a[7] = 4.0; + + a[8] = 3.0; + a[9] = 3.0; + a[10] = 3.0; + a[11] = 4.0; + + a[12] = 4.0; + a[13] = 4.0; + a[14] = 4.0; + a[15] = 4.0; + + //initializing the info parameter + info = 0; + w[0] = Double.NaN; + w[1] = Double.NaN; + w[2] = Double.NaN; + w[3] = Double.NaN; + F08FA f08fa = new F08FA("V", "U", n, a, n, w, work, LWork, info); + f08fa.eval(); + info = f08fa.getINFO(); + + if (info == 0) { + System.out.println(" Eigenvalues"); + System.out.print(" "); + for (int i = 0; i < n; ++i) { + System.out.printf(" %8.4f",w[i]); + } + System.out.println(); + + // Normalize the eigenvectors: largest element positive + F16JQ f16jq = new F16JQ(); // aka blas_damax_val + for (int i = 0; i < n; i++) { + System.arraycopy(a, 4*i, colVector, 0, 4); // Form vector to evaluate + f16jq.eval(n, colVector, 1, k, 0.0); // Get index of largest (absolute) value + k = f16jq.getK() - 1; // Make index zero based + + // Invert sign of column if largest element is negative + if (a[(4*i)+k] < 0) { + for (int j = 0; j < n; j++) { + a[(4*i)+j] = (-1) * a[(4*i)+j]; + } + } + + } + + (new X04CA()).eval("General"," ",n,n,a,lda,"Eigenvectors",ifail); + + double eps = (new X02AJ()).eval(); + double eerrbd = eps*Math.max(Math.abs(w[0]),Math.abs(w[n-1])); + + (new DDISNA()).eval("Eigenvectors",n,n,w,rcondz,info); + for (int i = 0; i < n; ++i) { + zerrbd[i] = eerrbd/rcondz[i]; + } + + System.out.println(); + System.out.println(" Error estimate for the eigenvalues"); + System.out.printf(" %11.1e\n",eerrbd); + System.out.println(); + System.out.println(" Error estimates for the eigenvectors"); + for (int i = 0; i < n; ++i) { + System.out.printf(" %11.1e",zerrbd[i]); + } + System.out.println(); + + } + else { + System.out.printf(" Failure in DSYEV. INFO =%4d",info); + } + + } + +} diff --git a/simple_examples/int32/F08XPJE.java b/simple_examples/int32/F08XPJE.java new file mode 100644 index 0000000..cc894d3 --- /dev/null +++ b/simple_examples/int32/F08XPJE.java @@ -0,0 +1,297 @@ +import com.nag.routines.F06.F06UA; +import com.nag.routines.F06.F06BN; +import com.nag.routines.F06.ZGEMM; +import com.nag.routines.F08.ZGGESX; +import com.nag.routines.M01.M01DA; +import com.nag.routines.M01.M01ED; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X04.X04DB; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * F08XPJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class F08XPJE{ + + public static boolean chkfac = false; + public static boolean prcond = false; + public static boolean prmat = false; + public static int nb = 64; + + /* + * F08XPJ Example main program + */ + public static void main(String[] args){ + NAGComplex alph, bet; + double abnorm, anorm, bnorm, eps, normd, norme, tol; + int ifail, info = 0, lda, ldb, ldc, ldd, lde, ldvsl, ldvsr, liwork, lwork, n, sdim = 0; + boolean factor; + NAGComplex[] a, alpha, b, beta, c, d, e, vsl, vsr, work, dummy; + double[] rconde, rcondv, rwork; + int[] idum, iwork; + boolean[] bwork; + String[] clabs, rlabs; + + //Placeholders + idum = new int[1]; + rconde = new double[2]; + rcondv = new double[2]; + dummy = NAGComplex.createArray(1); + + System.out.println("F08XPJ Example Program Results"); + System.out.println(); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + //Tell wrappers what time of complex type is going to be used + Routine.setComplex(new NAGComplex()); + + //n declared here for neater code but can be read in from data file + n = 4; + lda = n; + ldb = n; + ldc = n; + ldd = n; + lde = n; + ldvsl = n; + ldvsr = n; + + //Allocate + a = NAGComplex.createArray(lda * n); + alpha = NAGComplex.createArray(n); + b = NAGComplex.createArray(ldb * n); + beta = NAGComplex.createArray(n); + c = NAGComplex.createArray(ldc * n); + d = NAGComplex.createArray(ldd * n); + e = NAGComplex.createArray(lde * n); + vsl = NAGComplex.createArray(ldvsl * n); + vsr = NAGComplex.createArray(ldvsr * n); + rwork = new double[8 * n]; + bwork = new boolean[n]; + clabs = new String[1]; + clabs[0] = " "; + rlabs = new String[1]; + rlabs[0] = " "; + + //Use routine workspace query to get optimal workspace + lwork = -1; + liwork = -1; + //The NAG name equivalent of zggesx is f08xpf + selctg selctg1 = new selctg(); + ZGGESX zggesx = new ZGGESX("Vectors (left)", "Vectors (right)", "Sort", selctg1, "Both reciprocal condition numbers", + n, a, lda, b, ldb, sdim, alpha, beta, vsl, ldvsl, vsr, ldvsr, rconde, rcondv, dummy, lwork, + rwork, idum, liwork, bwork, info); + zggesx.eval(); + + //Make sure that there is a enough workspace for block size nb + lwork = Math.max((n * nb) + (n * n/2), (int) Math.rint(dummy[0].getRe())); + liwork = Math.max(n + 2, idum[0]); + work = NAGComplex.createArray(lwork); + iwork = new int[liwork]; + + //Read in matrices A and B + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); // skip header + line = reader.readLine(); //skip n (set manually for neater code) + String[] sVal; + + for(int i = 0; i < 2; i++){ + for(int j = 0; j < n; j++){ + line = reader.readLine(); + sVal = line.split("\\)"); + for(int k = 0; k < n; k++){ + if(i == 0){ + a[(k * n) + j] = parseComplex(sVal[k]); + } + else{ + b[(k * n) + j] = parseComplex(sVal[k]); + } + } + } + } + + } + catch(FileNotFoundException err){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException err){ + System.err.println("***FATAL: Can't read " + filename + "\n" + err.getMessage()); + } + + if(chkfac){ + for(int i = 0; i < a.length; i++){ + //Copy A and B into D and E respectively + d[i] = a[i]; + e[i] = b[i]; + } + } + + //Find the Forbenius norms of A and B + //The NAG name equivalent of the LAPACK auxiliary zlange is f06uaf + F06UA f06ua = new F06UA(); + anorm = f06ua.eval("Frobenius", n, n, a, lda, rwork); + bnorm = f06ua.eval("Frobenius", n, n, b, ldb, rwork); + + if(prmat){ + //Print matrices A and B + //ifail : behaviour on error exit + // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft + ifail = 0; + X04DB x04db = new X04DB("General", " ", n, n, a, lda, "Bracketed", "F8.4", "Matrix A", "Integer", + rlabs, "Integer", clabs, 80, 0, ifail); + x04db.eval(); + System.out.println(); + + ifail = 0; + x04db = new X04DB("General", " ", n, n, b, ldb, "Bracketed", "F8.4", "Matrix B", "Integer", + rlabs, "Integer", clabs, 80, 0, ifail); + x04db.eval(); + System.out.println(); + } + + factor = true; + //Find the generalized Schur form + //The NAG name equivalent of zggesx is f08xpf + zggesx = new ZGGESX("Vectors (left)", "Vectors (right)", "Sort", selctg1, "Both reciprocal condition numbers", + n, a, lda, b, ldb, sdim, alpha, beta, vsl, ldvsl, vsr, ldvsr, rconde, rcondv, work, lwork, + rwork, iwork, liwork, bwork, info); + zggesx.eval(); + + //update + sdim = zggesx.getSDIM(); + + if(info != 0 && info != (n + 2)){ + System.out.printf("Failure in ZGGESX. INFO = %d\n", info); + factor = false; + } + else if(chkfac){ + //Compute A - Q*S*Z^H from the factorization of (A,B) and store in matrix D + //The NAG name equivalent of zgemm is f06zaf + alph = new NAGComplex(1, 0); + bet = new NAGComplex(0, 0); + ZGEMM zgemm = new ZGEMM("N", "N", n, n, n, alph, vsl, ldvsl, a, lda, bet, c, ldc); + zgemm.eval(); + + alph = new NAGComplex(-1, 0); + bet = new NAGComplex(1, 0); + zgemm = new ZGEMM("N", "C", n, n, n, alph, c, ldc, vsr, ldvsr, bet, d, ldd); + zgemm.eval(); + + //Compute B - Q*T*Z^H from the factorization of (A,B) and store in matrix E + alph = new NAGComplex(1, 0); + bet = new NAGComplex(0, 0); + zgemm = new ZGEMM("N", "N", n, n, n, alph, vsl, ldvsl, b, ldb, bet, c, ldc); + zgemm.eval(); + + alph = new NAGComplex(-1, 0); + bet = new NAGComplex(1, 0); + zgemm = new ZGEMM("N", "C", n, n, n, alph, c, ldc, vsr, ldvsr, bet, e, lde); + zgemm.eval(); + + //Find norms of matrices D and E and warn if either is too large + f06ua = new F06UA("0", ldd, n, d, ldd, rwork); + normd = f06ua.eval(); + X02AJ x02aj = new X02AJ(); + if(normd > Math.pow(x02aj.eval(), 0.75)){ + System.out.println("Norm of A-(Q*S*Z^T) is much greater than 0."); + factor = false; + System.out.println("Schur factorization has failed"); + } + f06ua = new F06UA("0", lde, n, e, lde, rwork); + norme = f06ua.eval(); + if(norme > Math.pow(x02aj.eval(), 0.75)){ + System.out.println("Norm of B-(Q*T*Z^T is much greater than 0."); + factor = false; + } + } + + if(factor){ + //Print eigenvalue details + System.out.printf("Number of eigenvalues for which SELCTG is true = %d\n", sdim); + System.out.println("(dimension of deflating subspaces)"); + + System.out.println(); + //Print selected (finite) generalized eigenvalues + System.out.println("Selected generalized eigenvalues"); + + //Store absolute values of eigenvalues for ranking + for(int i = 0; i < n; i++){ + work[i] = alpha[i].divide(beta[i]); + rwork[i] = NAGComplex.abs(work[i]); + } + + //Rank eigenvalues + ifail = 0; + M01DA m01da = new M01DA(rwork, 1, sdim, "Descending", iwork, ifail); + m01da.eval(); + + //Sort eigevalues in work + M01ED m01ed = new M01ED(work, 1, sdim, iwork, ifail); + m01ed.eval(); + for(int i = 0; i < sdim; i++){ + System.out.printf(" %d\t(%.2f, %.2f)\n", i + 1, work[i].getRe(), work[i].getIm()); + } + + if(info == n + 2){ + System.out.println("*** note that rounding errors mean that leading eigenvalues in"); + System.out.println("the generalized Schur form no longer satisfy SELCTG = TRUE"); + System.out.println(); + } + + if(prcond){ + //Compute the machine precision and sqrt(anorm^2 + bnorm^2) + X02AJ x02aj = new X02AJ(); + eps = x02aj.eval(); + F06BN f06bn = new F06BN(anorm, bnorm); + abnorm = f06bn.eval(); + tol = eps * abnorm; + + //Print out the reciprocal condition numbers and error bound for selected eigenvalues + System.out.println("Reciprocal condition numbers for the average of the selected"); + System.out.println("eigenvalues and their asymptotic error bound"); + System.out.printf("rcond-left = %.1e, rcond-right = %.1e, error = %.1e\n", rcondv[0], rcondv[1], tol/rcondv[1]); + } + } + else{ + System.out.println("Schur factorization has failed"); + } + + } + + /** + * Converts String read in from data file to NAGComplex value. + * @param s + * Complex number string + * @return new NAGComplex representing s + */ + public static NAGComplex parseComplex(String s){ + s = s.trim(); + double re = Double.parseDouble(s.substring(1, 7)); + double im = Double.parseDouble(s.substring(8)); + return new NAGComplex(re, im); + } + + /** + * Class representing function selctg implementing ZGGESX_SELCTG to pass to ZGGESX. + */ + public static class selctg extends ZGGESX.Abstract_ZGGESX_SELCTG{ + public boolean eval(){ + return (NAGComplex.abs((NAGComplex)this.A) < (6 * NAGComplex.abs((NAGComplex)this.B))); + } + } + +} diff --git a/simple_examples/int32/G01ALJE.java b/simple_examples/int32/G01ALJE.java new file mode 100644 index 0000000..672a151 --- /dev/null +++ b/simple_examples/int32/G01ALJE.java @@ -0,0 +1,55 @@ +import com.nag.routines.G01.G01AL; + +/** + * G01ALJ Example Program Text + * @author willa + * @since 27.1.0.0 + */ +public class G01ALJE{ + + /** + * G01ALJ Example main program + */ + public static void main(String[] args){ + int ifail, n; + double[] x, res; + int[] iwrk; + + res = new double[5]; + + System.out.println("G01ALJ Example Program Results"); + System.out.println(); + + //Problem size + n = 12; + + //Allocate + x = new double[n]; + iwrk = new int[n]; + + //Data + x[0] = 12; + x[1] = 9; + x[2] = 2; + x[3] = 5; + x[4] = 6; + x[5] = 8; + x[6] = 2; + x[7] = 7; + x[8] = 3; + x[9] = 1; + x[10] = 11; + x[11] = 10; + + //Calculate summary statistics + ifail = 0; + G01AL g01al = new G01AL(n, x, iwrk, res, ifail); + g01al.eval(); + + System.out.printf("Maximum %.4f\n", res[4]); + System.out.printf("Upper Hinge (75%% quantile) %.4f\n", res[3]); + System.out.printf("Median (50%% quantile) %.4f\n", res[2]); + System.out.printf("Lower Hinge (25%% quantile) %.4f\n", res[1]); + System.out.printf("Minimum %.4f\n", res[0]); + } +} diff --git a/simple_examples/int32/G02AKJE.java b/simple_examples/int32/G02AKJE.java new file mode 100644 index 0000000..8ddaff2 --- /dev/null +++ b/simple_examples/int32/G02AKJE.java @@ -0,0 +1,68 @@ +import com.nag.routines.G02.G02AK; +import com.nag.routines.X04.X04CA; + +/** + * G02AK example program text. + * @author joed + * @since 27.0.0.0 + */ +public class G02AKJE { + + /** + * G02AKJ example main program. + */ + public static void main(String[] args) { + + G02AK g02ak = new G02AK(); + X04CA x04ca = new X04CA(); + double errtol, f, rankerr, ranktol; + int i, ifail, ldg, ldx, maxit, maxits, n, nsub, rank; + double[] g, x; + + System.out.println("G02AKJ Example Program Results\n"); + + // Problem size + n = 4; + ldg = n; + ldx = n; + + // Rank constraint + rank = 2; + + // Matrix G (column-major) + g = new double[]{ + 2.0, -1.0, 0.0, 0.0, + -1.0, 2.0, -1.0, 0.0, + 0.0, -1.0, 2.0, -1.0, + 0.0, 0.0, -1.0, 2.0 + }; + + // Use the defaults for errtol, ranktol, maxits, maxit + errtol = 0.0; + ranktol = 0.0; + maxits = 0; + maxit = 0; + + // Calculate rank constrained nearest correlation matrix + ifail = 0; + x = new double[ldx*n]; + f = 0.0; + rankerr = 0.0; + nsub = 0; + g02ak.eval(g, ldg, n, rank, errtol, ranktol, maxits, maxit, x, ldx, f, + rankerr, nsub, ifail); + nsub = g02ak.getNSUB(); + f = g02ak.getF(); + rankerr = g02ak.getRANKERR(); + + // Display results + ifail = 0; + x04ca.eval("General", " ", n, n, x, ldx, "NCM with rank constraint", ifail); + System.out.println(); + System.out.printf("Number of subproblems solved: %12d\n\n", nsub); + System.out.printf("Squared Frobenius norm of difference: %9.4f\n\n", f); + System.out.printf("Rank error: %35.4f\n", rankerr); + + } + +} diff --git a/simple_examples/int32/G02BJJE.java b/simple_examples/int32/G02BJJE.java new file mode 100644 index 0000000..3de843e --- /dev/null +++ b/simple_examples/int32/G02BJJE.java @@ -0,0 +1,303 @@ +import com.nag.routines.G02.G02BJ; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * G02BJ example program text. + * @author ludovic + */ +public class G02BJJE { + + public static void main(String[] args) { + int i, ifail, ldcnt, ldr, ldssp, ldx, ncases = 0; //, m = 0, n = 0, nvars = 0; + double[] cnt, r, ssp, std, xbar;//, xmiss; + + if (args.length != 1) { + G02BJJE.usage(); + } + + String dataFile = args[0]; + DataHolder data = new DataHolder(); + readDataFile(dataFile, data); + System.out.println(" G02BJJ Example Program Results"); + System.out.println(); + + ldcnt = ldr = ldssp = data.nvars; + ldx = data.n; + cnt = new double[ldcnt * data.nvars]; + r = new double[ldr * data.nvars]; + ssp = new double[ldssp * data.nvars]; + std = new double[data.nvars]; + xbar = new double[data.nvars]; + + + //Display the data + + System.out.printf(" Number of variables (columns) = %5d\n", data.m); + System.out.printf(" Number of cases (rows) = %5d\n", data.n); + System.out.println(); + System.out.println(" Data matrix is:-"); + for (int ii = 0; ii < data.m; ++ii) { + System.out.printf(" %12d",ii+1); + } + System.out.println(); + for (int ii = 0; ii < data.n; ++ii) { + System.out.printf(" %3d ",ii+1); + for (int jj = 0; jj < data.m; ++jj) { + System.out.printf("%12.4f ",data.x[ii + jj * data.n]); + } + System.out.println(); + } + + ifail = 0; + G02BJ g02bj = new G02BJ(data.n, data.m, data.x, ldx, data.miss, data.xmiss, + data.nvars, data.kvar, xbar, std, ssp, ldssp, r, ldr, ncases, cnt, + ldcnt, ifail); + g02bj.eval(); + + data.n = g02bj.getN(); + data.m = g02bj.getM(); + data.x = g02bj.getX(); + ldx = g02bj.getLDX(); + data.miss = g02bj.getMISS(); + data.xmiss = g02bj.getXMISS(); + data.nvars = g02bj.getNVARS(); + data.kvar = g02bj.getKVAR(); + xbar = g02bj.getXBAR(); + std = g02bj.getSTD(); + ssp = g02bj.getSSP(); + ldssp = g02bj.getLDSSP(); + r = g02bj.getR(); + ldr = g02bj.getLDR(); + ncases = g02bj.getNCASES(); + cnt = g02bj.getCNT(); + ldcnt = g02bj.getLDCNT(); + ifail = g02bj.getIFAIL(); + + //Display results + System.out.println(); + System.out.println(" Variable\tMean\tSt.dev."); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %5d %11.4f %11.4f\n",data.kvar[ii], xbar[ii], std[ii]); + } + System.out.println(); + System.out.println(" Sums of squares and cross-products of deviations"); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %12d",data.kvar[ii]); + } + System.out.println(); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %3d",data.kvar[ii]); + for (int jj = 0; jj < data.nvars; ++jj) { + System.out.printf(" %12.4f",ssp[ii + ldssp * jj]); + } + System.out.println(); + } + System.out.println(); + System.out.println(" Correlation coefficients"); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %12d",data.kvar[ii]); + } + System.out.println(); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %3d",data.kvar[ii]); + for (int jj = 0; jj < data.nvars; ++jj) { + System.out.printf(" %12.4f",r[ii + ldr * jj]); + } + System.out.println(); + } + System.out.println(); + System.out.printf(" Minimum number of cases used for any pair of variables: %5d\n", ncases); + System.out.println(); + System.out.println(" Numbers used for each pair are:"); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %12d",data.kvar[ii]); + } + System.out.println(); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %3d",data.kvar[ii]); + for (int jj = 0; jj < data.nvars; ++jj) { + System.out.printf(" %12.4f",cnt[ii + ldcnt * jj]); + } + System.out.println(); + } + System.out.println(); + } + + private static void usage() { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + /** + G02BJF Example Program Data + 5 4 3 :: N, M, NVARS + 3.0 3.0 1.0 2.0 + 6.0 4.0 -1.0 4.0 + 9.0 0.0 5.0 9.0 + 12.0 2.0 0.0 0.0 + -1.0 5.0 4.0 12.0 :: End of X + 1 1 0 1 :: MISS + -1.0 0.0 0.0 0.0 :: XMISS + 4 1 2 :: KVAR + */ + private static void readDataFile(String filename, DataHolder data) { + try { + BufferedReader br = new BufferedReader(new FileReader(filename)); + String line = br.readLine(); // skip header + line = br.readLine(); + String[] sVal = line.split("\\s+"); + data.setN(Integer.parseInt(sVal[0])); + data.setM(Integer.parseInt(sVal[1])); + data.setNvars(Integer.parseInt(sVal[2])); + + data.x = new double[data.n * data.m]; + data.miss = new int[data.m]; + data.xmiss = new double[data.m]; + data.kvar = new int[data.nvars]; + + for (int i = 0; i < data.n; ++i) { + line = br.readLine().trim(); + sVal = line.split("\\s+"); + for (int j = 0; j < data.m; ++j) { + data.x[i + j * data.n] = Double.parseDouble(sVal[j]); + } + } + line = br.readLine().trim(); + sVal = line.split("\\s+"); + for (int j = 0; j < data.m; ++j) { + data.miss[j] = Integer.parseInt(sVal[j]); + } + line = br.readLine().trim(); + sVal = line.split("\\s+"); + for (int j = 0; j < data.m; ++j) { + data.xmiss[j] = Double.parseDouble(sVal[j]); + } + + line = br.readLine().trim(); + sVal = line.split("\\s+"); + for (int j = 0; j < data.nvars; ++j) { + data.kvar[j] = Integer.parseInt(sVal[j]); + } + } + catch (FileNotFoundException ex) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch (IOException ex) { + System.err.println("***FATAL: Can't Read " + filename + "\n" + ex.getMessage()); + System.exit(-3); + } + + } + + private static class DataHolder { + private int n; + private int m; + private int nvars; + private double[] x; + private int[] miss; + private double[] xmiss; + private int[] kvar; + + /** + * @return the n + */ + public int getN() { + return n; + } + + /** + * @param n the n to set + */ + public void setN(int n) { + this.n = n; + } + + /** + * @return the m + */ + public int getM() { + return m; + } + + /** + * @param m the m to set + */ + public void setM(int m) { + this.m = m; + } + + /** + * @return the nvars + */ + public int getNvars() { + return nvars; + } + + /** + * @param nvars the nvars to set + */ + public void setNvars(int nvars) { + this.nvars = nvars; + } + + /** + * @return the x + */ + public double[] getX() { + return x; + } + + /** + * @param x the x to set + */ + public void setX(double[] x) { + this.x = x; + } + + /** + * @return the miss + */ + public int[] getMiss() { + return miss; + } + + /** + * @param miss the miss to set + */ + public void setMiss(int[] miss) { + this.miss = miss; + } + + /** + * @return the xmiss + */ + public double[] getXmiss() { + return xmiss; + } + + /** + * @param xmiss the xmiss to set + */ + public void setXmiss(double[] xmiss) { + this.xmiss = xmiss; + } + + /** + * @return the kvar + */ + public int[] getKvar() { + return kvar; + } + + /** + * @param kvar the kvar to set + */ + public void setKvar(int[] kvar) { + this.kvar = kvar; + } + } +} diff --git a/simple_examples/int32/G02BRJE.java b/simple_examples/int32/G02BRJE.java new file mode 100644 index 0000000..084f478 --- /dev/null +++ b/simple_examples/int32/G02BRJE.java @@ -0,0 +1,134 @@ +import com.nag.routines.G02.G02BR; + +/** + * G02BRJ Example Program Text + * @author willa + * @since 27.1.0.0 + */ +public class G02BRJE{ + + /** + * G02BRJ Example main program + */ + public static void main(String[] args){ + int ifail, itype, ldrr, ldx, m, n, ncases = 0; //placeholder + double[] rr, work1, work2, x, xmiss; + int[] incase, kworka, kworkb, kworkc, miss; + + System.out.println("G02BRJ Example Program Results"); + System.out.println(); + + //Problem size + n = 9; + m = 3; + itype = 0; + + ldrr = m; + ldx = n; + + //Allocate + rr = new double[ldrr * m]; + work1 = new double[n]; + work2 = new double[n]; + x = new double[ldx * m]; + xmiss = new double[m]; + incase = new int[n]; + kworka = new int[n]; + kworkb = new int[n]; + kworkc = new int[n]; + miss = new int[m]; + + //Data + //X = (1.70, 1.00, 0.50) + // (2.80, 4.00, 3.00) + // (0.60, 6.00, 2.50) + // (1.80, 9.00, 6.00) + // (0.99, 4.00, 2.50) + // (1.40, 2.00, 5.50) + // (1.80, 9.00, 7.50) + // (2.50, 7.00, 0.00) + // (0.99, 5.00, 3.00) + x[0] = 1.7; + x[1] = 2.8; + x[2] = 0.6; + x[3] = 1.8; + x[4] = 0.99; + x[5] = 1.4; + x[6] = 1.8; + x[7] = 2.5; + x[8] = 0.99; + x[9] = 1; + x[10] = 4; + x[11] = 6; + x[12] = 9; + x[13] = 4; + x[14] = 2; + x[15] = 9; + x[16] = 7; + x[17] = 5; + x[18] = 0.5; + x[19] = 3; + x[20] = 2.5; + x[21] = 6; + x[22] = 2.5; + x[23] = 5.5; + x[24] = 7.5; + x[25] = 0; + x[26] = 3; + + //Missing value flags + miss[0] = 1; + miss[1] = 0; + miss[2] = 1; + xmiss[0] = 0.99; + xmiss[1] = 0; + xmiss[2] = 0; + + //Display data + System.out.printf("Number of variables (columns) = %d\n", m); + System.out.printf("Number of case (rows) = %d\n", n); + System.out.println(); + System.out.println("Data matrix is:-\n"); + System.out.println(); + for(int i = 0; i < m; i++){ + System.out.printf("\t %d", i + 1); + } + System.out.println(); + for(int i = 0; i < n; i++){ + System.out.printf(" %d\t", i + 1); + for(int j = 0; j < m; j++){ + System.out.printf("%.4f\t", x[(j * n) + i]); + } + System.out.println(); + } + System.out.println(); + + //Calculate correlation coefficients + ifail = 0; + G02BR g02br = new G02BR(n, m, x, ldx, miss, xmiss, itype, rr, ldrr, ncases, incase, kworka, kworkb, kworkc, + work1, work2, ifail); + g02br.eval(); + + //Update + ncases = g02br.getNCASES(); + + //Display results + System.out.println("Matrix of rank correlation coefficients:"); + System.out.println("Upper triangle -- Spearman's"); + System.out.println("Lower triangle -- Kendall's tau"); + System.out.println(); + for(int i = 0; i < m; i++){ + System.out.printf("\t %d", i + 1); + } + System.out.println(); + for(int i = 0; i < m; i++){ + System.out.printf(" %d\t", i + 1); + for(int j = 0; j < m; j++){ + System.out.printf("%.4f\t", rr[(j * m) + i]); + } + System.out.println(); + } + System.out.println(); + System.out.printf("Number of cases actually used: %d\n", ncases); + } +} diff --git a/simple_examples/int32/G02DAJE.java b/simple_examples/int32/G02DAJE.java new file mode 100644 index 0000000..c390197 --- /dev/null +++ b/simple_examples/int32/G02DAJE.java @@ -0,0 +1,187 @@ +import com.nag.routines.G02.G02BU; +import com.nag.routines.G02.G02DA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * G02DAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class G02DAJE{ + + /** + * G02DAJ Example main program + */ + public static void main(String[] args){ + double aic, arsq, en, mult, rsq, rss = 0, sw = 0, tol; + int idf = 0, ifail, ip, irank = 0, ldq, ldx, lwt, m, n; + boolean svd = false; + String mean, weight; + double[] b, cov, h, p, q, res, se, wk, wt, x, y, c, wmean; + int[] isx; + + System.out.println("G02DAJ Example Program Results"); + System.out.println(); + + c = new double[1]; + wmean = new double[1]; + + //Problem size (can be read in from data file + n = 12; + m = 4; + weight = "U"; + mean = "M"; + + if(weight.toLowerCase().equals("w")){ + lwt = n; + } + else{ + lwt = 0; + } + ldx = n; + + x = new double[ldx * m]; + y = new double[n]; + wt = new double[n]; + isx = new int[m]; + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + line = reader.readLine(); //skip n, m, weight, mean + + //Read in data + String[] sVal; + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < m; j++){ + x[(j * n) + i] = Double.parseDouble(sVal[j]); + } + y[i] = Double.parseDouble(sVal[m]); + if(lwt > 0){ + wt[i] = Double.parseDouble(sVal[m + 1]); + } + } + + //Read in variable inclusion flags + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int i = 0; i < m; i++){ + isx[i] = Integer.parseInt(sVal[i]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + System.exit(-2); + } + + //Calcluate IP + ip = 0; + for(int i = 0; i < m; i++){ + if(isx[i] == 1){ + ip++; + } + } + if(mean.toLowerCase().equals("m")){ + ip = ip + 1; + } + + //Allocate + ldq = n; + b = new double[ip]; + cov = new double[((ip * ip) + ip)/2]; + h = new double[n]; + p = new double[ip * ip * (ip + 2)]; + q = new double[ldq * (ip + 1)]; + res = new double[n]; + se = new double[ip]; + wk = new double[ip * ip + (5 * (ip - 1))]; + + //Use suggested value for tolerance + tol = 0.000001; + + //fit general linear regression model + ifail = -1; + G02DA g02da = new G02DA(mean, weight, n, x, ldx, m, isx, ip, y, wt, rss, idf, b, se, cov, res, h, q, + ldq, svd, irank, p, tol, wk, ifail); + g02da.eval(); + ifail = g02da.getIFAIL(); + if(ifail != 0){ + if(ifail != 5){ + System.exit(-3); + } + } + + //Calculate (weighted) total sums of squares, adjusted for mean if required + //If in G02DAF, an intercept is added to the regression by including a comlumn of + //1's in X, rather than by using the MEAN argument then MEAN = "M" should be used + //in this call to G02BUF + ifail = 0; + G02BU g02bu = new G02BU(mean, weight, n, 1, y, n, wt, sw, wmean, c, ifail); + g02bu.eval(); + + idf = g02da.getIDF(); + irank = g02da.getIRANK(); + //Get effective number of observations (=N if there are no zero weights) + en = (double) idf + irank; + + rss = g02da.getRSS(); + //Calculate R-squared, corrected R-Squared and AIC + rsq = 1 - rss/c[0]; + if(mean.toLowerCase().equals("m")){ + mult = (en - 1) / (en - irank); + } + else{ + mult = en / (en - irank); + } + arsq = 1 - mult * (1 - rsq); + aic = en * Math.log(rss/en) + (2 * irank); + + svd = g02da.getSVD(); + //Disply results + if(svd){ + System.out.printf("Model not of full rank, rank = %d", irank); + System.out.println(); + } + System.out.printf("Residual sum of squares = %.4e\n", rss); + System.out.printf("Degrees of freedom = %d\n", idf); + System.out.printf("R-squared = %.4e\n", rsq); + System.out.printf("Adjusted R-squared = %.4e\n", arsq); + System.out.printf("AIC = %.4e\n", aic); + System.out.println(); + System.out.printf("Variable\tParameter estimate\tStandard error\n"); + System.out.println(); + if(ifail == 0){ + for(int i = 0; i < ip; i++){ + System.out.printf(" %d\t\t %.4e\t\t %.4e\n", (i + 1), b[i], se[i]); + } + } + else{ + for(int i = 0; i < ip; i++){ + System.out.printf(" %d\t\t %.4e\n", (i + 1), b[i]); + } + } + System.out.println(); + System.out.printf(" Obs\t\t Residuals\t\t H\n"); + System.out.println(); + for(int i = 0; i < n; i++){ + System.out.printf(" %d\t\t %.4e\t\t %.4e\n", (i + 1), res[i], h[i]); + } + + } +} diff --git a/simple_examples/int32/G02EEJE.java b/simple_examples/int32/G02EEJE.java new file mode 100644 index 0000000..5856fde --- /dev/null +++ b/simple_examples/int32/G02EEJE.java @@ -0,0 +1,184 @@ +import com.nag.routines.G02.G02EE; +import java.io.*; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * G02EE example program text. + */ +public class G02EEJE { + + public static void main(String[] args) throws Exception { + int vnlen = 3; + double chrss, f, fin, rss; + rss = chrss = f = Double.NaN; + int idf = 0, ifail = 0, ifr = 0, istep = 0, ldq, ldx, lwt, m, maxip, n, nterm = 0; + boolean addvar = false; + String mean, weight, newvar; + newvar = " "; + double[] exss, p, q, wk, wt, x, y; + int[] isx; + String[] free, model, vname; + + System.out.println(" G02EEJ Example Program Results\n"); + + BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); + + String line = dataIn.readLine(); + + String[] data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); + + n = Integer.parseInt(data[0]); + m = Integer.parseInt(data[1]); + mean = data[2].substring(1,2); + weight = data[3].substring(1,2); + fin = Double.parseDouble(data[4]); + + if (weight.equalsIgnoreCase("W")) { + lwt = n; + } + else { + lwt = 0; + } + ldx = n; + + x = new double[ldx*m]; + y = new double[n]; + wt = new double[lwt]; + isx = new int[m]; + vname = new String[m]; + + for (int i = 0; i < vname.length;++i) { + StringBuilder tmp = new StringBuilder(); + for (int j = 0; j < vnlen; ++j) { + tmp.append(" "); + } + vname[i] = tmp.toString(); + } + + if (lwt > 0) { + for (int i = 0; i < n; ++i) { + data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); + for (int j = 0; j < m; ++j) { + x[i+j*ldx] = Double.parseDouble(data[j]); + } + y[i] = Double.parseDouble(data[m]); + wt[i] = Double.parseDouble(data[m+1]); + } + } + else { + for (int i = 0; i < n; ++i) { + data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); + for (int j = 0; j < m; ++j) { + x[i+j*ldx] = Double.parseDouble(data[j]); + } + y[i] = Double.parseDouble(data[m]); + } + } + data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); + for (int i = 0; i < m; ++i) { + isx[i] = Integer.parseInt(data[i]); + } + + data = dataIn.readLine().trim().split("::")[0].trim() + .replaceAll("^'","").replaceAll("'$","").split("'\\s+'"); + for (int i = 0; i < m; ++i) { + vname[i] = data[i].substring(0,3); + } + + dataIn.close(); + + maxip = 0; + for (int i = 0; i < m; ++i) { + if (isx[i] > 0) { + ++maxip; + } + } + + if (mean.equalsIgnoreCase("M")) { + maxip += 1; + } + + ldq = n; + model = new String[maxip]; + free = new String[maxip]; + exss = new double[maxip]; + q = new double[ldq*(maxip+2)]; + p = new double[maxip+1]; + wk = new double[2*maxip]; + + for (int i = 0; i < model.length; ++i) { + StringBuilder tmp = new StringBuilder(); + for (int j = 0; j < vnlen; ++j) { + tmp.append(" "); + } + model[i] = tmp.toString(); + } + for (int i = 0; i < free.length; ++i) { + StringBuilder tmp = new StringBuilder(); + for (int j = 0; j < vnlen; ++j) { + tmp.append(" "); + } + free[i] = tmp.toString(); + } + istep = 0; + ifail = -1; + + + G02EE g02ee = new G02EE(istep,mean,weight,n,m,x,ldx,vname,isx,maxip,y,wt,fin, + addvar,newvar,chrss,f,model,nterm,rss,idf,ifr,free,exss,q,ldq,p, + wk,ifail); + for (int i = 0; i < m; ++i) { + g02ee.setIFAIL(0); + g02ee.eval(); + + System.out.printf(" Step %2d\n",g02ee.getISTEP()); + if (!g02ee.getADDVAR()) { + System.out.printf(" No further variables added maximum F =%7.2f\n",g02ee.getF()); + System.out.print(" Free variables: "); + for (int j = 0; j < g02ee.getIFR(); ++j) { + System.out.print(" "+free[j]); + } + System.out.println(); + System.out.println(" Change in residual sums of squares for free variables:"); + for (int j = 0; j < g02ee.getIFR(); ++j) { + System.out.printf(" %9.4f",g02ee.getEXSS()[j]); + } + System.out.println(); + break; + } + else { + System.out.println(" Added variable is "+g02ee.getNEWVAR()); + System.out.printf(" Change in residual sum of squares = %12.4E\n",g02ee.getCHRSS()); + System.out.printf(" F Statistic = %7.2f\n",g02ee.getF()); + System.out.println(); + System.out.print(" Variables in model:"); + for (int j = 0; j < g02ee.getNTERM(); ++j) { + System.out.print(" "+g02ee.getMODEL()[j]); + } + System.out.println("\n"); + System.out.printf(" Residual sum of squares = %13.4E\n",g02ee.getRSS()); + System.out.printf(" Degrees of freedom = %2d\n",g02ee.getIDF()); + System.out.println(); + if (g02ee.getIFR() == 0) { + System.out.println(" No free variables remaining"); + break; + } + System.out.print(" Free variables: "); + for (int j = 0; j < g02ee.getIFR(); ++j) { + System.out.print(" "+free[j]); + } + System.out.println(); + System.out.println(" Change in residual sums of squares for free variables:"); + for (int j = 0; j < g02ee.getIFR(); ++j) { + System.out.printf(" %9.4f",g02ee.getEXSS()[j]); + } + System.out.println(); + + } + + } + + } + +} diff --git a/simple_examples/int32/G02MAJE.java b/simple_examples/int32/G02MAJE.java new file mode 100644 index 0000000..4a8bfcb --- /dev/null +++ b/simple_examples/int32/G02MAJE.java @@ -0,0 +1,130 @@ +import com.nag.routines.G02.G02MA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * G02MAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class G02MAJE{ + + /** + * G02MAJ example main program + */ + public static void main(String[] args){ + int ifail, ip, ldb, ldd, lisx, lropt, m, mnstep, mtype, n, nstep = 0, pred, prey; + double[] b, d, fitsum, ropt, y; + int[] isx; + + isx = new int[0]; //placeholder + + System.out.println("G02MAJ Example Program Results"); + System.out.println(); + + //data (Could also read in from data file) + //Problem size + n = 20; + m = 6; + + //Model Specification + mtype = 1; + pred = 3; + prey = 1; + mnstep = 6; + lisx = 0; + + //Variable inclusion flags aren't needed in this example + ip = m; + + //Optional arguments (using defaults) + lropt = 0; + ropt = new double[lropt]; + + //D and Y + ldd = n; + y = new double[n]; + d = new double[ldd * m]; + + //Read in D and Y from data file (too large to write out) + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + line = reader.readLine(); //skip N, M + line = reader.readLine(); //skip mtype, pred, prey, mnstep, lisx + + String sVal[]; + + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < m; j++){ + d[(j * n) + i] = Double.parseDouble(sVal[j]); + } + y[i] = Double.parseDouble(sVal[m]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + System.exit(-2); + } + + //Allocate output arrays + ldb = ip; + b = new double[ldb * (mnstep + 2)]; + fitsum = new double[6 * (mnstep + 1)]; + + //Call the model fitting routine + ifail = -1; + G02MA g02ma = new G02MA(mtype, pred, prey, n, m, d, ldd, isx, lisx, y, mnstep, ip, nstep, b, ldb, + fitsum, ropt, lropt, ifail); + g02ma.eval(); + ifail = g02ma.getIFAIL(); + if(ifail != 0){ + if(ifail != 112 && ifail != 161 && ifail != 162 && ifail !=163){ + //ifail = 112, 161, 162, 163 are warnings, so no need to terminate + System.exit(-2); + } + } + + //update + nstep = g02ma.getNSTEP(); + + //Display the parameter estimates + System.out.printf(" Step\t\t\tParameter Estimate\n"); + System.out.println("------------------------------------------------------"); + for(int i = 0; i < nstep; i++){ + System.out.printf(" %d", (i + 1)); + for(int j = 0; j < ip; j++){ + System.out.printf("\t%.3f", b[j + (i * nstep)]); + } + System.out.printf("\n"); + } + System.out.println(); + System.out.printf("alpha: %.3f\n", fitsum[nstep * 6]); + System.out.println(); + System.out.printf(" Step Sum\tRSS\t df\t Cp\t Ck\tStep Size\n"); + System.out.println("---------------------------------------------------------"); + for(int k = 0; k < nstep; k++){ + System.out.printf(" %d %.3f\t%.3f %d\t %.3f\t %.3f %.3f\n", (k + 1), fitsum[k * nstep], fitsum[(k * nstep) + 1], + (int)(Math.floor(fitsum[(k + nstep) + 2] + 0.5)), fitsum[(k * nstep) + 3], + fitsum[(k * nstep) + 4], fitsum[(k * nstep) + 5]); + } + System.out.println(); + System.out.printf("sigma^2: %.3f\n", fitsum[(nstep * 6) + 4]); + } +} diff --git a/simple_examples/int32/G03GAJE.java b/simple_examples/int32/G03GAJE.java new file mode 100644 index 0000000..ba20592 --- /dev/null +++ b/simple_examples/int32/G03GAJE.java @@ -0,0 +1,355 @@ +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.Arrays; +import com.nag.routines.G03.G03GA; +import com.nag.routines.X04.X04CA; +import com.nag.routines.Routine; + +/** + * G03GAJ example program text. + * @author willa + * @since 27.0.0.0 + */ +public class G03GAJE{ + + /** + * G03GAJ example main program. + */ + public static void main(String[] args){ + int i, ldx, lprob, riter, lds, sds, ifail = 0; + double[] w, g, s, f; + double tol, loglik = 0; + + if(args.length != 1){ + G03GAJE.usage(); + } + + // Data file name as argument + String filename = args[0]; + // DataHolder object to hold data read in from data file + DataHolder data = new DataHolder(); + + readDataFile(filename, data); + + System.out.println(" G03GAJ Example Program Results"); + System.out.println(); + + // Leading dimensions + ldx = data.n; + lprob = data.n; + + + switch(data.sopt){ + case 1: + s = new double[data.nvar * data.nvar * data.ng]; + lds = data.nvar; + sds = data.nvar; + break; + case 2: + s = new double[data.nvar * data.nvar * 1]; + lds = data.nvar; + sds = data.nvar; + break; + case 3: + s = new double[data.nvar * data.ng * 1]; + lds = data.nvar; + sds = data.ng; + break; + case 4: + s = new double[data.nvar * 1 * 1]; + lds = data.nvar; + sds = 1; + break; + default: + s = new double[1 * 1 * 1]; + lds = 1; + sds = 1; + break; + } + + // Allocate array size + g = new double[data.nvar * data.ng]; + w = new double[data.ng]; + f = new double[data.n * data.ng]; + tol = 0.0; + riter = 5; + + ifail = 0; + + // Create g03ga object with variables from data file + G03GA g03ga = new G03GA(data.n, data.m, data.x, ldx, data.isx, data.nvar, data.ng, data.popt, data.prob, + lprob, data.niter, riter, w, g, data.sopt, s, lds, sds, f, tol, loglik, ifail); + + // Run routine + g03ga.eval(); + + // Update variables + data.n = g03ga.getN(); + data.m = g03ga.getM(); + data.x = g03ga.getX(); + ldx = g03ga.getLDX(); + data.isx = g03ga.getISX(); + data.nvar = g03ga.getNVAR(); + data.ng = g03ga.getNG(); + data.popt = g03ga.getPOPT(); + data.prob = g03ga.getPROB(); + lprob = g03ga.getLPROB(); + data.niter = g03ga.getNITER(); + riter = g03ga.getRITER(); + w = g03ga.getW(); + g = g03ga.getG(); + data.sopt = g03ga.getSOPT(); + s = g03ga.getS(); + lds = g03ga.getLDS(); + sds = g03ga.getSDS(); + f = g03ga.getF(); + tol = g03ga.getTOL(); + loglik = g03ga.getLOGLIK(); + ifail = g03ga.getIFAIL(); + + // Results + X04CA x04ca = new X04CA(); + + System.out.println(); + ifail = 0; + x04ca.eval("g", "n", 1, data.ng, w, 1, "Mixing proportions", ifail); + + System.out.println(); + ifail = 0; + x04ca.eval("g", "n", data.nvar, data.ng, g, data.nvar, "Group means", ifail); + + System.out.println(); + switch(data.sopt){ + case 1: + for(i = 0; i < data.ng; i++){ + ifail = 0; + // Wrapper returns a 1-dimensional array so X04CA has to be called like this to mimic + // calling X04CA along the 3rd dimension + x04ca.eval("g", "n", data.nvar, data.nvar, + Arrays.copyOfRange(s, (i * (data.nvar * data.nvar)), (data.nvar * data.nvar * data.ng)), + lds, "Variance-cavariance matrix", ifail); + } + break; + case 2: + ifail = 0; + x04ca.eval("g", "n", data.nvar, data.nvar, s, lds, "Pooled Variance-covariance matrix", ifail); + break; + case 3: + ifail = 0; + x04ca.eval("g", "n", data.nvar, data.ng, s, lds, "Groupwise Variance", ifail); + break; + case 4: + ifail = 0; + x04ca.eval("g", "n", data.nvar, 1, s, lds, "Pooled Variance", ifail); + break; + case 5: + ifail = 0; + x04ca.eval("g", "n", 1, 1, s, lds, "Overall Variance", ifail); + break; + } + + System.out.println(); + ifail = 0; + x04ca.eval("g", "n", data.n, data.ng, f, data.n, "Densities", ifail); + + System.out.println(); + ifail = 0; + x04ca.eval("g", "n", data.n, data.ng, data.prob, data.n, "Membership probabilities", ifail); + + System.out.println(); + System.out.println("No. iterations: " + data.niter); + System.out.printf("Log-likelihood: %.04f\n", loglik); + } + + /** + * Read data from given filename and puts into DataHolder object + * @param filename + * Name of data file (absolute or relative path) + * @param data + * DataHolder object to store data from data file + */ + public static void readDataFile(String filename, DataHolder data){ + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + // Problem size + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + data.setN(Integer.parseInt(sVal[0])); + data.setM(Integer.parseInt(sVal[1])); + data.setNvar(Integer.parseInt(sVal[2])); + + // Number of groups + line = reader.readLine(); + sVal = line.split("\\s+"); + data.setNg(Integer.parseInt(sVal[0])); + + // Scaling option + line = reader.readLine(); + sVal = line.split("\\s+"); + data.setSopt(Integer.parseInt(sVal[0])); + + // Initial probabilities option + line = reader.readLine(); + sVal = line.split("\\s+"); + data.setPopt(Integer.parseInt(sVal[0])); + + // Maximum number of iterations + line = reader.readLine(); + sVal = line.split("\\s+"); + data.setNiter(Integer.parseInt(sVal[0])); + + // + data.x = new double[data.m * data.n]; + data.prob = new double[data.ng * data.n]; + data.isx = new int[data.m]; + + //Data matrix X + for(int i = 0; i < data.n; ++i){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < data.m; ++j){ + data.x[i + (j * data.n)] = Double.parseDouble(sVal[j]); + } + } + + //Included variables + if(data.nvar != data.m){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int i = 0; i < data.m; ++i){ + data.isx[i] = Integer.parseInt(sVal[i]); + } + } + + + //Optionally read initial probabilities of group memebership (included in example data) + if(data.popt == 2){ + for(int i = 0; i < data.n; ++i){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < data.ng; ++j){ + data.prob[i + (j * data.n)] = Double.parseDouble(sVal[j]); + } + } + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + + } + + /** + * Stores data from data file for later reference + */ + private static class DataHolder{ + private int n; + private int m; + private int nvar; + private int ng; + private int sopt; + private int popt; + private int niter; + private int isx[]; + private double x[]; + private double prob[]; + + public void setN(int n){ + this.n = n; + } + + public int getN(){ + return n; + } + + public void setM(int m){ + this.m = m; + } + + public int getM(){ + return m; + } + + public void setNvar(int nvar){ + this.nvar = nvar; + } + + public int getNvar(){ + return nvar; + } + + public void setNg(int ng){ + this.ng = ng; + } + + public int getNg(){ + return ng; + } + + public void setSopt(int sopt){ + this.sopt = sopt; + } + + public int getSopt(){ + return sopt; + } + + public void setPopt(int popt){ + this.popt = popt; + } + + public int getPopt(){ + return popt; + } + + public void setNiter(int niter){ + this.niter = niter; + } + + public int getNiter(){ + return niter; + } + + public void setIsx(int[] isx){ + this.isx = isx; + } + + public int[] getIsx(){ + return isx; + } + + public void setX(double[] x){ + this.x = x; + } + + public double[] getX(){ + return x; + } + + public void setProb(double[] prob){ + this.prob = prob; + } + + public double[] getProb(){ + return prob; + } + } + + /** + * No arguments supplied when example runs + */ + private static void usage() { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} + diff --git a/simple_examples/int32/G05KFJE.java b/simple_examples/int32/G05KFJE.java new file mode 100644 index 0000000..18ce755 --- /dev/null +++ b/simple_examples/int32/G05KFJE.java @@ -0,0 +1,105 @@ +import com.nag.routines.G05.G05KF; +import com.nag.routines.G05.G05SA; +import com.nag.routines.Routine; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * G05KFJ example program text. + * @author willa + * @since 27.0.0.0 + */ +public class G05KFJE{ + + /** + * G05KFJ example main program. + */ + public static void main(String[] args){ + //genid, subid only initilised so they can be set in try{} without java throwing error + int lseed = 1, nin = 5, nout = 6, genid = 0, n = 0, subid = 0; + int ifail, lstate; + int[] seed, state; + double x[]; + + System.out.println("G05KFJ Example Program Results"); + System.out.println(); + + //No file input given + if(args.length != 1){ + G05KFJE.usage(); + } + + seed = new int[lseed]; + + //Read in data from data fiel + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //Read in the base generator information and seed + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + genid = Integer.parseInt(sVal[0]); + subid = Integer.parseInt(sVal[1]); + seed[0] = Integer.parseInt(sVal[2]); + + //Read in sample size + line = reader.readLine(); + sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[0]); + + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + lstate = 0; + ifail = 0; + state = new int[lstate]; + + //Initial call to get size of STATE array + G05KF g05kf = new G05KF(genid, subid, seed, lseed, state, lstate, ifail); + g05kf.eval(); + + //Update local variables + lstate = g05kf.getLSTATE(); + state = g05kf.getSTATE(); + + //Reallocate STATE + state = new int[lstate]; + + //Update object variables + g05kf.setSTATE(state); + g05kf.eval(); + + //Update local variables + state = g05kf.getSTATE(); + + x = new double[n]; + + //Generate the variates + ifail = 0; + G05SA g05sa = new G05SA(n, state, x, ifail); + g05sa.eval(); + + //Display the variates + for(int i = 0; i < x.length; i++){ + System.out.printf("%.4f\n", x[i]); + } + } + + /** + * Print usage information. + */ + private static void usage(){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} diff --git a/simple_examples/int32/G13AWJE.java b/simple_examples/int32/G13AWJE.java new file mode 100644 index 0000000..9e829bd --- /dev/null +++ b/simple_examples/int32/G13AWJE.java @@ -0,0 +1,31 @@ +import com.nag.routines.G01.G01EW; +import com.nag.routines.G13.G13AW; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * G13AW example program text. + */ +public class G13AWJE { + + public static void main(String[] args) { + + int n = 30, type = 1, p = 1, ifail = 1, method = 1, nsamp = 0; + double[] y = {-217.,-177.,-166.,-136.,-110.,-95.,-64.,-37.,-14.,-25.,-51., + -62.,-73.,-88.,-113.,-120.,-83.,-33.,-19.,21.,17.,44.,44.,78., + 88.,122.,126.,114.,85.,64}; + int[] state = new int[1]; + G13AW g13aw = new G13AW(type, p, n, y, ifail); + System.out.println(" G13AWJ Example Program Results\n"); + double ts = g13aw.eval(); + G01EW g01ew = new G01EW(method,type,n,ts,nsamp,state,ifail); + double pvalue = g01ew.eval(); + ifail = g01ew.getIFAIL(); + if (ifail == 0 || ifail == 201) { + System.out.printf("Dickey-Fuller test statistic = %6.3f\n", ts); + System.out.printf("associated p-value = %6.3f\n", pvalue); + } + + } + +} diff --git a/simple_examples/int32/G13MEJE.java b/simple_examples/int32/G13MEJE.java new file mode 100644 index 0000000..a768a46 --- /dev/null +++ b/simple_examples/int32/G13MEJE.java @@ -0,0 +1,160 @@ +import com.nag.routines.G13.G13ME; + +/** + * G13MEJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class G13MEJE{ + + /** + * G13MEJ main program + */ + public static void main(String[] args){ + double tau; + int ifail, lrcomm, m, nb, pn; + double[] iema, rcomm, sinit, t; + int[] inter, nbVal; + + inter = new int[2]; + + System.out.println("G13MEJ Example Program Results"); + System.out.println(); + + //data (can read in from data file) + //Number of iteration required + m = 2; + + //Decay parameter and interpolation method + tau = 2; + inter[0] = 3; + inter[1] = 2; + + //Initial values + sinit = new double[m + 2]; + sinit[0] = 5; + sinit[1] = 0.5; + sinit[2] = 0.5; + sinit[3] = 0.5; + + //Array of NB values in order + nbVal = new int[3]; + nbVal[0] = 5; + nbVal[1] = 10; + nbVal[2] = 15; + + //First block + double[] t1 = new double[nbVal[0]]; + double[] iema1 = new double[nbVal[0]]; + t1[0] = 7.5; + t1[1] = 8.2; + t1[2] = 18.1; + t1[3] = 22.8; + t1[4] = 25.8; + iema1[0] = 0.6; + iema1[1] = 0.6; + iema1[2] = 0.8; + iema1[3] = 0.1; + iema1[4] = 0.2; + + //Second block + double[] t2 = new double[nbVal[1]]; + double[] iema2 = new double[nbVal[1]]; + t2[0] = 26.8; + t2[1] = 31.1; + t2[2] = 38.4; + t2[3] = 45.9; + t2[4] = 48.2; + t2[5] = 48.9; + t2[6] = 57.9; + t2[7] = 58.5; + t2[8] = 63.9; + t2[9] = 65.2; + iema2[0] = 0.2; + iema2[1] = 0.5; + iema2[2] = 0.7; + iema2[3] = 0.1; + iema2[4] = 0.4; + iema2[5] = 0.7; + iema2[6] = 0.8; + iema2[7] = 0.3; + iema2[8] = 0.2; + iema2[9] = 0.5; + + //Third block + double[] t3 = new double[nbVal[2]]; + double[] iema3 = new double[nbVal[2]]; + t3[0] = 66.6; + t3[1] = 67.4; + t3[2] = 69.3; + t3[3] = 69.9; + t3[4] = 73.0; + t3[5] = 75.6; + t3[6] = 77.0; + t3[7] = 84.7; + t3[8] = 86.8; + t3[9] = 88.0; + t3[10] = 88.5; + t3[11] = 91.0; + t3[12] = 93.0; + t3[13] = 93.7; + t3[14] = 94.0; + iema3[0] = 0.2; + iema3[1] = 0.3; + iema3[2] = 0.8; + iema3[3] = 0.6; + iema3[4] = 0.1; + iema3[5] = 0.7; + iema3[6] = 0.9; + iema3[7] = 0.6; + iema3[8] = 0.3; + iema3[9] = 0.1; + iema3[10] = 0.1; + iema3[11] = 0.4; + iema3[12] = 1.0; + iema3[13] = 1.0; + iema3[14] = 0.1; + + //Print some titles + System.out.printf("\t\t\tIterated\n"); + System.out.println("\t\tTime\t EMA\n"); + System.out.println("--------------------------------"); + + lrcomm = 20 + m; + rcomm = new double[lrcomm]; + + pn = 0; + + //Loop through 3 blocks + for(int i = 0; i < nbVal.length; i++){ + //nb for given block + nb = nbVal[i]; + + //Use data for current block + if(i == 0){ + t = t1; + iema = iema1; + } + else if(i == 1){ + t = t2; + iema = iema2; + } + else{ + t = t3; + iema = iema3; + } + + ifail = 0; + G13ME g13me = new G13ME(nb, iema, t, tau, m, sinit, inter, pn, rcomm, lrcomm, ifail); + g13me.eval(); + pn = g13me.getPN(); + + //Display results for this block of data + for(int j = 0; j < nb; j++){ + System.out.printf("\t%d\t%.1f\t%.3f\n", pn - nb + (j + 1), t[j], iema[j]); + } + System.out.println(); + } + } +} + diff --git a/simple_examples/int32/G13NAJE.java b/simple_examples/int32/G13NAJE.java new file mode 100644 index 0000000..2032eb1 --- /dev/null +++ b/simple_examples/int32/G13NAJE.java @@ -0,0 +1,123 @@ +import com.nag.routines.G13.G13NA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * G13NAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class G13NAJE{ + + /** + * G13NAJ example main program + */ + public static void main(String[] args){ + double beta = 0; + int ctype = 0, ifail, iparam = 0, minss = 0, n = 0, ntau = 0; //placeholder + double[] param, sparam, y; + int[] tau; + + param = new double[1]; + //Placeholder y to be read in from data file + y = new double[0]; + + System.out.println("G13NAJ Example Program Results"); + System.out.println(); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //Read in the problem size + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[0]); + + //Allocate enough size to hold the input series + y = new double[n]; + + //Read in the input series + for(int i = 0; i < 10; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < 10; j++){ + y[(i * 10) + j] = Double.parseDouble(sVal[j]); + } + } + + //Read in the type of change point, penalty and minimum segment size + line = reader.readLine(); + sVal = line.split("\\s+"); + ctype = Integer.parseInt(sVal[0]); + iparam = Integer.parseInt(sVal[1]); + beta = Double.parseDouble(sVal[2]); + minss = Integer.parseInt(sVal[3]); + + //Read in the distribution parameter (if required) + if(iparam == 1){ + line = reader.readLine(); + sVal = line.split("\\s+"); + param[0] = Double.parseDouble(sVal[0]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + System.exit(-2); + } + + //Output arrays + tau = new int[n]; + sparam = new double[(2 * n) + 2]; + + ifail = -1; + + //Call routine to detece change points + G13NA g13na = new G13NA(ctype, n, y, beta, minss, iparam, param, ntau, tau, sparam, ifail); + g13na.eval(); + + //update + ifail = g13na.getIFAIL(); + ctype = g13na.getCTYPE(); + ntau = g13na.getNTAU(); + + if(ifail == 0 || ifail == 200 || ifail == 201){ + //Display the results + if(ctype == 5 || ctype == 6){ + //Exponential or Poisson distribtion + System.out.printf(" -- Charge Points -- Distribution\n"); + System.out.printf(" Number Position Parameter \n"); + System.out.println("====================================="); + for(int i = 0; i < ntau; i++){ + System.out.printf(" %d\t %d\t%.2f", i + 1, tau[i], sparam[i]); + } + + } + else{ + //Normal of Gamma distribution + System.out.printf(" -- Charge Points -- --- Distribution ---\n"); + System.out.printf(" Number Position Parameters\n"); + System.out.println("================================================="); + for(int i = 0; i < ntau; i++){ + System.out.printf(" %d\t %d\t %.2f\t %.2f\n", (i + 1), tau[i], sparam[2 * i], sparam[(2 * i) + 1]); + } + } + } + if(ifail == 200 || ifail == 201){ + System.out.println("Some truncation occured internally to avoid overflow"); + } + } +} diff --git a/simple_examples/int32/H02BBJE.java b/simple_examples/int32/H02BBJE.java new file mode 100644 index 0000000..04f4207 --- /dev/null +++ b/simple_examples/int32/H02BBJE.java @@ -0,0 +1,92 @@ +import com.nag.routines.H.H02BB; + +/** + * H02BBJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class H02BBJE{ + + /** + * H02BBJ example main program + */ + public static void main(String[] args){ + double bigbnd, objmip = 0, tolfes, toliv; + int ifail, intfst, itmax, lda, liwork, lrwork, m, maxdpt, maxnod, msglvl, n; + double[] a, bl, bu, cvec, rwork, x; + int[] intvar, iwork; + + System.out.println("H02BBJ Example Program Results"); + System.out.println(); + + //Data (can be read in from data file) + n = 2; + m = 3; + lda = m; + + a = new double[lda * n]; + bl = new double[m + n]; + bu = new double[m + n]; + cvec = new double[n]; + x = new double[n]; + intvar = new int[n]; + + itmax = 0; + msglvl = 10; + maxnod = 0; + intfst = 0; + maxdpt = 4; + tolfes = 0; + toliv = 0; + + cvec[0] = -3; + cvec[1] = -4; + + //A = ( 2, 5) + // ( 2, -2) + // ( 3, 2) + a[0] = 2; + a[1] = 2; + a[2] = 3; + a[3] = 5; + a[4] = -2; + a[5] = 2; + + bigbnd = 1E+20; + + bl[0] = 0; + bl[1] = 0; + bl[2] = -1E+20; + bl[3] = -1E+20; + bl[4] = 5; + + bu[0] = 1E+20; + bu[1] = 1E+20; + bu[2] = 15; + bu[3] = 5; + bu[4] = 1E+20; + + intvar[0] = 1; + intvar[1] = 1; + + x[0] = 1; + x[1] = 1; + + liwork = ((25 + n + m) * maxdpt) + (5 * n) + m + 4; + //Math.pow() needs to be casted to int in java + lrwork = (maxdpt * (n + 1)) + (2 * (int)Math.pow(Math.min(n, m + 1), 2)) + (14 * n) + (12 * m); + iwork = new int[liwork]; + rwork = new double[lrwork]; + + ifail = 0; + + H02BB h02bb = new H02BB(itmax, msglvl, n, m, a, lda, bl, bu, intvar, cvec, maxnod, intfst, maxdpt, toliv, + tolfes, bigbnd, x, objmip, iwork, liwork, rwork, lrwork, ifail); + h02bb.eval(); + } +} + + + + + diff --git a/simple_examples/int32/H02DAJE.java b/simple_examples/int32/H02DAJE.java new file mode 100644 index 0000000..6e90401 --- /dev/null +++ b/simple_examples/int32/H02DAJE.java @@ -0,0 +1,228 @@ +import com.nag.routines.H.H02DA; +import com.nag.routines.H.H02ZK; +import com.nag.routines.H.H02ZL; +import com.nag.routines.X04.X04CA; +import java.util.Arrays; + +/** + * H02DAJ exmaple program text + * @author willa + * @since 27.1.0.0 + */ +public class H02DAJE{ + + /** + * H02DAJ example main program + */ + public static void main(String[] args){ + double acc, accqp = 0, objmip = 0; + int ifail, ivalue = 0, lda, liopts, lopts, maxit, n, nclin, ncnln, optype = 0; + String cvalue; + double[] a, ax, bl, bu, c, cjac, d, objgrd, x, opts, ruser; + int[] iopts, iuser, varcon; + + System.out.println("H02DAJ Example Program Results"); + System.out.println(); + + opts = new double[100]; + ruser = new double[1]; + iopts = new int[200]; + iuser = new int[1]; + + //Blank 40 character string to represent ```Character (40) :: cvalue``` + char[] ch = new char[40]; + Arrays.fill(ch, ' '); + cvalue = new String(ch); + + n = 8; + nclin = 5; + ncnln = 2; + lda = nclin; + + a = new double[lda * n]; + d = new double[nclin]; + ax = new double[nclin]; + bl = new double[n]; + bu = new double[n]; + varcon = new int[n + nclin + ncnln]; + x = new double[n]; + c = new double[ncnln]; + cjac = new double[ncnln * n]; + objgrd = new double[n]; + + //Set variable types: continuous then binary + varcon[0] = 0; + varcon[1] = 0; + varcon[2] = 0; + varcon[3] = 0; + varcon[4] = 1; + varcon[5] = 1; + varcon[6] = 1; + varcon[7] = 1; + + //Set continuous variable bounds + bl[0] = 0; + bl[1] = 0; + bl[2] = 0; + bl[3] = 0; + bu[0] = 1000; + bu[1] = 1000; + bu[2] = 1000; + bu[3] = 1000; + + //Bounds for binary variables need not be provided + bl[4] = 0; + bl[5] = 0; + bl[6] = 0; + bl[7] = 0; + bu[4] = 1; + bu[5] = 1; + bu[6] = 1; + bu[7] = 1; + + //Set linear constraint, equality first + varcon[n] = 3; + varcon[n + 1] = 4; + varcon[n + 2] = 4; + varcon[n + 3] = 4; + varcon[n + 4] = 4; + + //Set Ax=d then Ax>=d + //( 1, 1, 1, 1, 0, 0, 0, 0) + //(-1, 0, 0, 0, 1, 0, 0, 0) + //( 0,-1, 0, 0, 0, 1, 0, 0) + //( 0, 0,-1, 0, 0, 0, 1, 0) + //( 0, 0, 0,-1, 0, 0, 0, 1) + a[0] = 1; + a[1] = -1; + a[5] = 1; + a[7] = -1; + a[10] = 1; + a[13] = -1; + a[15] = 1; + a[19] = -1; + a[21] = 1; + a[27] = 1; + a[33] = 1; + a[39] = 1; + d[0] = 1; + d[1] = 0; + d[2] = 0; + d[3] = 0; + d[4] = 0; + + //Set constraints supplied by CONFUN, equality first + varcon[n + nclin] = 3; + varcon[n + nclin + 1] = 4; + + liopts = iopts.length; + lopts = opts.length; + + //Initialize communication arrays + ifail = 0; + H02ZK h02zk = new H02ZK("Initialize = H02DAF", iopts, liopts, opts, lopts, ifail); + h02zk.eval(); + + + //Optimization parameters + maxit = 500; + acc = 0.000001; + + //Initial estimate (binary variables need not be given) + x[0] = 1; + x[1] = 1; + x[2] = 1; + x[3] = 1; + x[4] = 0; + x[5] = 0; + x[6] = 0; + x[7] = 0; + + //Portfolio parameters p and rho + iuser[0] = 3; + ruser[0] = 10; + + ifail = 0; + //Create objfun1, confun1 to pass to H02DA representing repsecitve subroutines + objfun objfun1 = new objfun(); + confun confun1 = new confun(); + H02DA h02da = new H02DA(n, nclin, ncnln, a, lda, d, ax, bl, bu, varcon, x, confun1, c, cjac, objfun1, + objgrd, maxit, acc, objmip, iopts, opts, iuser, ruser, ifail); + h02da.eval(); + + //Results + ifail = h02da.getIFAIL(); + if(ifail == 0){ + X04CA x04ca = new X04CA("G", "N", n, 1, x, n, "Final Esimate:", ifail); + x04ca.eval(); + + //Query the accuracy of the mixed integer QP Solver + ifail = -1; + H02ZL h02zl = new H02ZL("QP Accuracy", ivalue, accqp, cvalue, optype, iopts, opts, ifail); + h02zl.eval(); + + //Update values to print + accqp = h02zl.getRVALUE(); + objmip = h02da.getOBJMIP(); + ifail = h02zl.getIFAIL(); + if(ifail == 0){ + System.out.printf("Requested accuracy of QP subproblems\t%.4e\n", accqp); + } + System.out.printf("Optimised value:\t%.3f\n", objmip); + } + else{ + System.out.printf("h02daf returns ifail = %d\n", ifail); + } + } + + /** + * objfun class extending Abstract_H02DA_OBJFUN to represent objfun subroutine for passing to H02DA + */ + public static class objfun extends H02DA.Abstract_H02DA_OBJFUN{ + public void eval(){ + if(this.MODE == 0){ + //Objective value + this.OBJMIP = (this.X[0] * ((4 * this.X[0]) + (3 * this.X[1]) - this.X[2])) + + (this.X[1] * ((3 * this.X[0]) + (6 * this.X[1]) + this.X[2])) + + (this.X[2] * (this.X[1] - this.X[0] + (10 * this.X[2]))); + } + else{ + //Objective gradients for continous varaiables + this.OBJGRD[0] = (8 * this.X[0]) + (6 * this.X[1]) - (2 * this.X[2]); + this.OBJGRD[1] = (6 * this.X[0]) + (12 * this.X[1]) + (2 * this.X[2]); + this.OBJGRD[2] = (2 * (this.X[1] - this.X[0])) + (20 * this.X[2]); + this.OBJGRD[3] = 0; + } + } + } + + /** + * confun class extending Abstract_H02DA_CONFUN to represent confun subroutine for passing to H02DA + */ + public static class confun extends H02DA.Abstract_H02DA_CONFUN{ + public void eval(){ + if(this.MODE == 0){ + //Constraints + int p = this.IUSER[0]; + double rho = this.RUSER[0]; + + //Mean return rho: + this.C[0] = (8 * this.X[0]) + (9 * this.X[1]) + (12 * this.X[2]) + (7 * this.X[3]) - rho; + //Maximum of p assets in portfolio + this.C[1] = p - this.X[4] - this.X[5] - this.X[6] - this.X[7]; + } + else{ + //Jacobian + this.CJAC[0] = 8; + this.CJAC[2] = 9; + this.CJAC[4] = 12; + this.CJAC[6] = 7; + //c[2] does not include continuours varaibles which requries that their derivatives are zero + this.CJAC[1] = 0; + this.CJAC[3] = 0; + this.CJAC[5] = 0; + this.CJAC[7] = 0; + } + } + } +} diff --git a/simple_examples/int32/M01CCJE.java b/simple_examples/int32/M01CCJE.java new file mode 100644 index 0000000..fda5e2f --- /dev/null +++ b/simple_examples/int32/M01CCJE.java @@ -0,0 +1,42 @@ +import com.nag.routines.M01.M01CC; +import java.io.*; + +/** + * M01CC example program text. + */ +public class M01CCJE { + + public static void main(String[] args) throws Exception { + + String[] ch; + String order = "Reverse ASCII"; + int m1,m2,l1,l2; + int ifail = 0; + + BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); + + dataIn.readLine(); + m2 = Integer.parseInt(dataIn.readLine().trim().split(":+")[0].trim()); + ch = new String[m2]; + m1 = 1; + for (int i = m1-1; i < m2; ++i) { + ch[i] = dataIn.readLine(); + } + dataIn.close(); + l1 = 7; + l2 = 12; + + System.out.println(" M01CCJ Example Program Results"); + M01CC m01cc = new M01CC(ch, m1, m2, l1, l2, order, ifail); + m01cc.eval(); + ifail = m01cc.getIFAIL(); + System.out.println(); + System.out.printf(" Records sorted on columns %2d to %2d\n",l1,l2); + System.out.println(); + for (int i = m1-1; i < m2; ++i) { + System.out.println(" "+ch[i]); + } + + } + +} diff --git a/simple_examples/int32/S01BAJE.java b/simple_examples/int32/S01BAJE.java new file mode 100644 index 0000000..4bf2823 --- /dev/null +++ b/simple_examples/int32/S01BAJE.java @@ -0,0 +1,39 @@ +import com.nag.routines.S.S01BA; + +/** + * S01BAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S01BAJE{ + + /** + * S01BAJE main program + */ + public static void main(String[] args){ + double y; + int ifail; + double[] xVal; //data + + //store data + xVal = new double[6]; + xVal[0] = 2.5; + xVal[1] = 0.125; + xVal[2] = -0.906; + xVal[3] = 0.00129; + xVal[4] = -0.00000783; + xVal[5] = 0.000000001; + + System.out.println("S01BAJ Example Program Results"); + System.out.println(); + System.out.printf("\tX\t\tY\n"); + + for(double x : xVal){ + ifail = -1; + S01BA s01ba = new S01BA(x, ifail); + y = s01ba.eval(); + + System.out.printf("\t%.4e\t%.4e\n", x, y); + } + } +} diff --git a/simple_examples/int32/S10AAJE.java b/simple_examples/int32/S10AAJE.java new file mode 100644 index 0000000..2a0878a --- /dev/null +++ b/simple_examples/int32/S10AAJE.java @@ -0,0 +1,40 @@ +import com.nag.routines.S.S10AA; + +/** + * S10AAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S10AAJE{ + + /** + * S10AAJ example main program + */ + public static void main(String[] args){ + double y; + double[] xVal; + int ifail; + + //x values (can be read in from data file) + xVal = new double[4]; + xVal[0] = -20; + xVal[1] = -5.0; + xVal[2] = 0.5; + xVal[3] = 5.0; + + System.out.println("S10AAJ Example Program Results"); + + System.out.println(); + System.out.printf("\tX\t\tY"); + System.out.println(); + + for(double x : xVal){ + ifail = -1; + S10AA s10aa = new S10AA(x, ifail); + y = s10aa.eval(); + ifail = s10aa.getIFAIL(); + + System.out.printf("\t%.3e\t%.3e\n", x, y); + } + } +} diff --git a/simple_examples/int32/S10ABJE.java b/simple_examples/int32/S10ABJE.java new file mode 100644 index 0000000..dd84ab7 --- /dev/null +++ b/simple_examples/int32/S10ABJE.java @@ -0,0 +1,41 @@ +import com.nag.routines.S.S10AB; + +/** + * S10ABJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S10ABJE{ + + /** + * S10ABJ example main program + */ + public static void main(String[] args){ + double y; + double[] xVal; + int ifail; + + //x values (can be read in from data file) + xVal = new double[5]; + xVal[0] = -10; + xVal[1] = -0.5; + xVal[2] = 0; + xVal[3] = 0.5; + xVal[4] = 25.0; + + System.out.println("S10ABJ Example Program Results"); + + System.out.println(); + System.out.printf("\tX\t\tY"); + System.out.println(); + + for(double x : xVal){ + ifail = -1; + S10AB s10ab = new S10AB(x, ifail); + y = s10ab.eval(); + ifail = s10ab.getIFAIL(); + + System.out.printf("\t%.3e\t%.3e\n", x, y); + } + } +} diff --git a/simple_examples/int32/S10ACJE.java b/simple_examples/int32/S10ACJE.java new file mode 100644 index 0000000..cc0c04c --- /dev/null +++ b/simple_examples/int32/S10ACJE.java @@ -0,0 +1,41 @@ +import com.nag.routines.S.S10AC; + +/** + * S10ACJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S10ACJE{ + + /** + * S10ACJ example main program + */ + public static void main(String[] args){ + double y; + double[] xVal; + int ifail; + + //x values (can be read in from data file) + xVal = new double[5]; + xVal[0] = -10; + xVal[1] = -0.5; + xVal[2] = 0; + xVal[3] = 0.5; + xVal[4] = 25.0; + + System.out.println("S10ACJ Example Program Results"); + + System.out.println(); + System.out.printf("\tX\t\tY"); + System.out.println(); + + for(double x : xVal){ + ifail = -1; + S10AC s10ac = new S10AC(x, ifail); + y = s10ac.eval(); + ifail = s10ac.getIFAIL(); + + System.out.printf("\t%.3e\t%.3e\n", x, y); + } + } +} diff --git a/simple_examples/int32/S14ABJE.java b/simple_examples/int32/S14ABJE.java new file mode 100644 index 0000000..673a4b3 --- /dev/null +++ b/simple_examples/int32/S14ABJE.java @@ -0,0 +1,71 @@ +import com.nag.routines.S.S14AB; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * S14ABJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S14ABJE{ + + /** + * S14ABJ example main program + */ + public static void main(String[] args){ + double x, y; + int ifail; + + System.out.println("S14ABJ Example Program Results"); + + //Supply file path as argument + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + System.out.println(); + System.out.printf("\tX\t\tY"); + System.out.println(); + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //loop until break + while(true){ + line = reader.readLine(); + + //if finished looping through file break + if(line == null){ + break; + } + String[] sVal = line.split("\\s+"); + + x = Double.parseDouble(sVal[1]); + + ifail = -1; + S14AB s14ab = new S14AB(x, ifail); + y = s14ab.eval(); + //update ifail + ifail = s14ab.getIFAIL(); + + if(ifail < 0){ + break; + } + System.out.printf("\t%.3e\t%.3e\n", x, y); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} + diff --git a/simple_examples/int32/S14ACJE.java b/simple_examples/int32/S14ACJE.java new file mode 100644 index 0000000..e2fff05 --- /dev/null +++ b/simple_examples/int32/S14ACJE.java @@ -0,0 +1,68 @@ +import com.nag.routines.S.S14AC; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * S14ACJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S14ACJE{ + + /** + * S14ACJ example main program + */ + public static void main(String[] args){ + double f, x; + int ifail; + + System.out.println("S14ACJ Example Program Results"); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + System.out.println(); + System.out.printf("\tX\tpsi(X)-log(X)\n"); + System.out.println(); + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //Loop until break... + while(true){ + line = reader.readLine(); + if(line == null){ + break; + } + String[] sVal = line.split("\\s+"); + + x = Double.parseDouble(sVal[0]); + + ifail = -1; + S14AC s14ac = new S14AC(x, ifail); + f = s14ac.eval(); + ifail = s14ac.getIFAIL(); + + if(ifail < 0){ + break; + } + + System.out.printf("\t%.4f\t%.4f\n", x, f); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} diff --git a/simple_examples/int32/S14AFJE.java b/simple_examples/int32/S14AFJE.java new file mode 100644 index 0000000..9005cc1 --- /dev/null +++ b/simple_examples/int32/S14AFJE.java @@ -0,0 +1,80 @@ +import com.nag.routines.S.S14AF; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * S14AFJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class S14AFJE{ + + /** + * S14AFJ Example main program + */ + public static void main(String[] args){ + NAGComplex y, z; + int ifail, k; + + //Tell the wrapper the type of complex being used before calling a routine + Routine.setComplex(new NAGComplex()); + + y = new NAGComplex(); + z = new NAGComplex(); + + System.out.println("S14AFJ Example Program Results"); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); + + System.out.println(); + System.out.println("\tZ\t\tK\t(d^K/dz^K)psi(Z)"); + System.out.println(); + + //loop until break... + while(true){ + line = reader.readLine(); + + //end of file reached + if(line == null){ + break; + } + + String[] sVal = line.split("\\s+"); + z.setRe(Double.parseDouble(sVal[0])); + z.setIm(Double.parseDouble(sVal[1])); + k = Integer.parseInt(sVal[2]); + + ifail = -1; + S14AF s14af = new S14AF(z, k, ifail); + y = (NAGComplex) s14af.eval(); + ifail = s14af.getIFAIL(); + + //ifail < 0 => error + if(ifail < 0){ + break; + } + System.out.printf("\t(%.1f, %.1f)\t%d\t(%.4e, %.4e)\n", z.getRe(), z.getIm(), k, y.getRe(), y.getIm()); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} diff --git a/simple_examples/int32/S17DCJE.java b/simple_examples/int32/S17DCJE.java new file mode 100644 index 0000000..ba01290 --- /dev/null +++ b/simple_examples/int32/S17DCJE.java @@ -0,0 +1,69 @@ +import com.nag.routines.S.S17DC; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +public class S17DCJE{ + private static int n = 2; + + public static void main(String[] args){ + double fnu; + int ifail, nz = 0; + String scal; + NAGComplex z; + NAGComplex[] cwrk, cy; + + z = new NAGComplex(); + //initiate complex arrays like this to save looping through and doing it manually by looping through + cwrk = NAGComplex.createArray(n); + cy = NAGComplex.createArray(n); + + System.out.println("S17DCF Example Program Results"); + + //Supply file path as argument + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + System.out.println(); + System.out.printf("Calling with N = %d\n", n); + System.out.println(); + System.out.printf("FNU\tZ\t\t\tSCAL\tCY[0]\t\t\tCY[1]\t\t\tNZ"); + System.out.println(); + + while(true){ + line = reader.readLine(); + if(line == null){ + break; + } + String[] sVal = line.split("\\s+"); + fnu = Double.parseDouble(sVal[0]); + z.setRe(Double.parseDouble(sVal[1])); + z.setIm(Double.parseDouble(sVal[2])); + scal = sVal[3].substring(1,2); + + ifail = 0; + S17DC s17dc = new S17DC(fnu, z, n, scal, cy, nz, cwrk, ifail); + s17dc.eval(); + + System.out.printf("%.4f\t(%.4f, %.4f)\t%s\t(%.4f, %.4f)\t(%.4f, %.4f)\t%d\n", fnu, z.getRe(), z.getIm(), scal, cy[0].getRe(), cy[0].getIm(), cy[1].getRe(), cy[1].getIm(), nz); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} + diff --git a/simple_examples/int32/S17DGJE.java b/simple_examples/int32/S17DGJE.java new file mode 100644 index 0000000..b93c9e0 --- /dev/null +++ b/simple_examples/int32/S17DGJE.java @@ -0,0 +1,61 @@ +import com.nag.routines.S.S17DG; +import com.nag.types.NAGComplex; +import java.io.*; +import java.util.regex.Matcher; +import java.util.regex.Pattern; + +/** + * S17DG example program text. + */ +public class S17DGJE { + + public static void main(String[] args) throws Exception { + String deriv,scal; + int ifail = 1; + NAGComplex z,ai; + int nz = -1; + z = new NAGComplex(); + ai = new NAGComplex(); + ai.setRe(Double.NaN); + ai.setIm(Double.NaN); + + System.out.println(" S17DGJ Example Program Results"); + BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); + + dataIn.readLine(); + System.out.println(); + System.out.println(" DERIV Z SCAL AI NZ"); + System.out.println(); + String line = dataIn.readLine(); + Pattern linePatt = Pattern.compile("\\s*'([A-Z]{1})'\\s+\\(\\s*([0-9\\.\\-]+)\\s*," + + "\\s*([0-9\\.\\-]+)\\s*\\)\\s+'([A-Z]{1})'\\s*"); + Matcher m; + S17DG s17dg = new S17DG(); + while (line != null) { + m = linePatt.matcher(line); + if (m.matches()) { + deriv = m.group(1); + z.setRe(Double.parseDouble(m.group(2))); + z.setIm(Double.parseDouble(m.group(3))); + scal = m.group(4); + ifail = 1;// SOFT AND SILENT FAILURE + s17dg.eval(deriv,z,scal,ai,nz,ifail); + if (s17dg.getIFAIL() == 0) { + System.out.printf(" %s (%8.4f,%8.4f) %s (%8.4f,%8.4f) %4d\n", + s17dg.getDERIV(), s17dg.getZ().getRe(), s17dg.getZ().getIm(), s17dg.getSCAL(), + s17dg.getAI().getRe(), s17dg.getAI().getIm(), s17dg.getNZ()); + } + else { + System.err.println("Something went wrong - S17DG returned IFAIL = "+s17dg.getIFAIL()); + System.exit(-1); + } + } + else { + System.out.println("Can't match:\n"+line); + } + line = dataIn.readLine(); + } + + } + +} diff --git a/simple_examples/int32/S30AAJE.java b/simple_examples/int32/S30AAJE.java new file mode 100644 index 0000000..7e01ffe --- /dev/null +++ b/simple_examples/int32/S30AAJE.java @@ -0,0 +1,109 @@ +import com.nag.routines.S.S30AA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * S30AAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S30AAJE{ + + /** + * S30AAJ main program + */ + public static void main(String[] args){ + double q = 0, r = 0, s = 0, sigma = 0; + int ifail, ldp, m = 0, n = 0; + String calput = ""; //placeholders + double[] p, t, x; + + //placeholders + t = new double[0]; + x = new double[0]; + + System.out.println("S30AAJ Example Program Results"); + + //Supply file path as arugment + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + calput = sVal[0].substring(1,2); + + line = reader.readLine(); + sVal = line.split("\\s+"); + s = Double.parseDouble(sVal[0]); + sigma = Double.parseDouble(sVal[1]); + r = Double.parseDouble(sVal[2]); + q = Double.parseDouble(sVal[3]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + m = Integer.parseInt(sVal[0]); + n = Integer.parseInt(sVal[1]); + + t = new double[n]; + x = new double[m]; + + for(int i = 0; i < m; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + x[i] = Double.parseDouble(sVal[0]); + } + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + t[i] = Double.parseDouble(sVal[0]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ldp = m; + p = new double[ldp * n]; + + ifail = 0; + S30AA s30aa = new S30AA(calput, m, n, x, s, t, sigma, r, q, p, ldp, ifail); + s30aa.eval(); + + System.out.println(); + System.out.println("Black-Scholes-Merton formula"); + + if(calput.toLowerCase().equals("c")){ + System.out.println("European Call : "); + } + else if(calput.toLowerCase().equals("p")){ + System.out.println("European Put : "); + } + + System.out.printf(" Spot =\t%.4f\n", s); + System.out.printf(" Volatility =\t%.4f\n", sigma); + System.out.printf(" Rate =\t%.4f\n", r); + System.out.printf(" Dividend =\t%.4f\n", q); + + System.out.println(); + System.out.printf(" Strike\tExpiry\tOption Price\n"); + for(int i = 0; i < m; i++){ + for(int j = 0; j < n; j++){ + System.out.printf(" %.4f\t%.4f\t%.4f\n", x[i], t[j], p[i + (j * 3)]); + } + } + } +} + diff --git a/simple_examples/int32/S30ACJE.java b/simple_examples/int32/S30ACJE.java new file mode 100644 index 0000000..8d994dc --- /dev/null +++ b/simple_examples/int32/S30ACJE.java @@ -0,0 +1,129 @@ +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.Arrays; + +import com.nag.routines.S.S30AC; + +/** + * S30AC example program text. + */ +public class S30ACJE { + + public static void main(String[] args) { + + int i, ifail, mode = 0, n = 0; + String calput; + + double[] k = null, p = null, r = null, s0 = null, sigma = null, t = null; + int[] ivalid = null; + + // Strings must be length expected by Fortran + calput = getBlankString(1); + + /* Header */ + System.out.println(" S30ACJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); // skip header + + System.out.println(); + System.out.println(" SIGMA IVALID"); + System.out.println(); + + line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + calput = sVal[0].replaceAll("\'", ""); + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + mode = Integer.parseInt(sVal[1]); + + line = reader.readLine(); // skip empty line + + p = new double[n]; + k = new double[n]; + s0 = new double[n]; + t = new double[n]; + r = new double[n]; + sigma = new double[n]; + ivalid = new int[n]; + + // Read p, k, s0, t and r from data file + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + p[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + k[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + s0[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + t[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + r[i] = Double.parseDouble(sVal[i]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Find the implied volatilities, sigma + ifail = 0; + S30AC s30ac = new S30AC(); + s30ac.eval(calput, n, p, k, s0, t, r, sigma, mode, ivalid, ifail); + + // Print solution + for (i = 0; i < n; i++) { + System.out.printf(" %12.3E%5d\n", sigma[i], ivalid[i]); + } + + } + + /** + * Returns a new String, filled with spaces to the specified length. + * + * @param len the required length of the String + * @return a blank String of the specified length + */ + public static String getBlankString(int len) { + + if (len > 0) { + char[] arr = new char[len]; + Arrays.fill(arr, ' '); + return new String(arr); + } + + return ""; + + } +} diff --git a/simple_examples/int32/X03AAJE.java b/simple_examples/int32/X03AAJE.java new file mode 100644 index 0000000..b03f1ab --- /dev/null +++ b/simple_examples/int32/X03AAJE.java @@ -0,0 +1,87 @@ +import com.nag.routines.X03.X03AA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * X03AAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class X03AAJE{ + + /** + * X03AAJ example main program. + */ + public static void main(String[] args){ + int n = 3; + double c1 = 0, c2 = 0, d1 = 0, d2 = 0; //placeholder + int ifail, isizea, isizeb, istepa, istepb; + boolean sw; + double[] a, b; + + a = new double[n * n]; + b = new double[n]; + + System.out.println("X03AAF Example Program Results"); + System.out.println(); + + if(args.length != 1){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //stored column wise + //a = (-2, -3, 7) + // ( 2, -5, 3) + // (-9, 1, 0) + for(int i = 0; i < n; i++){ + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + for(int j = 0; j < n; j++){ + a[i + (j * n)] = Double.parseDouble(sVal[j + 1]); + } + } + + line = reader.readLine(); + for(int i = 0; i < n; i++){ + String[] sVal = line.split("\\s+"); + b[i] = Double.parseDouble(sVal[i + 1]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + + c1 = 1; + c2 = 0; + isizea = n; + isizeb = n; + istepa = 1; + istepb = 1; + sw = true; + + ifail = 0; + X03AA x03aa = new X03AA(a , isizea, b, isizeb, n, istepa, istepb, c1, c2, d1, d2, sw, ifail); + x03aa.eval(); + + //update + c1 = x03aa.getC1(); + c2 = x03aa.getC2(); + d1 = x03aa.getD1(); + d2 = x03aa.getD2(); + + System.out.printf("D1 = %.1f D2 = %.1f\n", d1, d2); + } +} diff --git a/simple_examples/int32/X04CBJE.java b/simple_examples/int32/X04CBJE.java new file mode 100644 index 0000000..fa77c3a --- /dev/null +++ b/simple_examples/int32/X04CBJE.java @@ -0,0 +1,53 @@ +import com.nag.routines.X04.X04CB; + +/** + * X04CBJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class X04CBJE{ + + /** + * X04CBJ example main program + */ + public static void main(String[] args){ + int nmax = 5, lda = nmax, ifail, indent, ncols; + double[] a; + + a = new double[lda * nmax]; + + String[] clabs = {"Un ", "Deux ", "Trois ", "Quatre ", "Cinq "}; + String[] rlabs = {"Uno ", "Due ", "Tre ", "Quattro", "Cinque "}; + + System.out.println("X04CBJ Example Program Results"); + System.out.println(); + + //generate an array of data + for(int i = 0; i < nmax; i++){ + for(int j = 0; j < lda; j++){ + a[(i * lda) + j] = (double) ((10 * (j + 1)) + i + 1); + } + } + + ncols = 80; + indent = 0; + + //Print 3 by nmax rectangular matrix with default format and integer row and column labels + ifail = 0; + X04CB x04cb = new X04CB("General", " ", 3, nmax, a, lda, " ", "Example 1", "Integer", rlabs, "Integer", + clabs, ncols, indent, ifail); + x04cb.eval(); + System.out.println(); + + //Print nmax by namx upper triangular matrix with user-supplied format and row and column labels + ifail = 0; + x04cb.eval("Upper", "Non-unit", nmax, nmax, a, lda, "F8.2", "Example 2:", "Character", rlabs, "Character", + clabs, ncols, indent, ifail); + System.out.println(); + + //Print 3 by nmax lower triangular matrix in MATLAB format + //Row and column labelling is ignored + ifail = 0; + x04cb.eval("Lower", "Non-unit", 3, nmax, a, lda, "MATLABF8.2", "A", " ", rlabs, " ", clabs, ncols, indent, ifail); + } +} diff --git a/simple_examples/int32/X05ABJE.java b/simple_examples/int32/X05ABJE.java new file mode 100644 index 0000000..acb3804 --- /dev/null +++ b/simple_examples/int32/X05ABJE.java @@ -0,0 +1,25 @@ +import com.nag.routines.X05.X05AB; + +/** + * X05AB example program text. + */ +public class X05ABJE { + + public static void main(String[] args) { + + int[] itime = new int[7]; + + itime[0] = 1789; + itime[1] = 7; + itime[2] = 14; + itime[3] = 13; + itime[4] = 11; + itime[5] = 48; + itime[6] = 320; + + System.out.println(" X05ABJ Example Program Results"); + System.out.println((new X05AB(itime)).eval()); + + } + +} From 32c0c4676e46cb3dab76efeff27d3be6eca04e9b Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 15 Jan 2021 13:17:28 +0000 Subject: [PATCH 111/196] Removed wrong files --- simple_examples/int32/A00AAJE.java | 16 -- simple_examples/int32/A00ACJE.java | 29 -- simple_examples/int32/A00ADJE.java | 107 -------- simple_examples/int32/C02AAJE.java | 174 ------------ simple_examples/int32/C02ABJE.java | 217 --------------- simple_examples/int32/C02AFJE.java | 271 ------------------- simple_examples/int32/C02AGJE.java | 262 ------------------ simple_examples/int32/C02AHJE.java | 61 ----- simple_examples/int32/C02AJJE.java | 65 ----- simple_examples/int32/C02AKJE.java | 62 ----- simple_examples/int32/C02ALJE.java | 64 ----- simple_examples/int32/C02AMJE.java | 75 ------ simple_examples/int32/C02ANJE.java | 80 ------ simple_examples/int32/C05AUJE.java | 67 ----- simple_examples/int32/C05AWJE.java | 59 ---- simple_examples/int32/C05AYJE.java | 44 --- simple_examples/int32/C05AZJE.java | 65 ----- simple_examples/int32/C05BBJE.java | 89 ------ simple_examples/int32/C05MBJE.java | 95 ------- simple_examples/int32/C05QBJE.java | 167 ------------ simple_examples/int32/C06BAJE.java | 56 ---- simple_examples/int32/C06FKJE.java | 91 ------- simple_examples/int32/C09AAJE.java | 158 ----------- simple_examples/int32/D01BDJE.java | 58 ---- simple_examples/int32/D01RJJE.java | 184 ------------- simple_examples/int32/D01RKJE.java | 173 ------------ simple_examples/int32/D01RLJE.java | 196 -------------- simple_examples/int32/D01RMJE.java | 163 ----------- simple_examples/int32/D01TCJE.java | 45 ---- simple_examples/int32/D02NEJE.java | 388 -------------------------- simple_examples/int32/D02TLJE.java | 290 -------------------- simple_examples/int32/D03PCJE.java | 217 --------------- simple_examples/int32/D03RAJE.java | 307 --------------------- simple_examples/int32/D03RBJE.java | 388 -------------------------- simple_examples/int32/D05BAJE.java | 111 -------- simple_examples/int32/D05BEJE.java | 185 ------------- simple_examples/int32/DTFSMJE.java | 54 ---- simple_examples/int32/E01DAJE.java | 182 ------------- simple_examples/int32/E02ALJE.java | 101 ------- simple_examples/int32/E04ABJE.java | 76 ------ simple_examples/int32/E04BBJE.java | 81 ------ simple_examples/int32/E04CBJE.java | 90 ------- simple_examples/int32/E04FCJE.java | 420 ----------------------------- simple_examples/int32/E04FFJE.java | 140 ---------- simple_examples/int32/E04GBJE.java | 183 ------------- simple_examples/int32/E04GGJE.java | 219 --------------- simple_examples/int32/E04MTJE.java | 132 --------- simple_examples/int32/E04MXJE.java | 292 -------------------- simple_examples/int32/E04NCJE.java | 246 ----------------- simple_examples/int32/E04NFJE.java | 234 ---------------- simple_examples/int32/E04NKJE.java | 295 -------------------- simple_examples/int32/E04NQJE.java | 384 -------------------------- simple_examples/int32/E04PTJE.java | 344 ----------------------- simple_examples/int32/E04RPJE.java | 199 -------------- simple_examples/int32/E04RSJE.java | 229 ---------------- simple_examples/int32/E04RTJE.java | 225 ---------------- simple_examples/int32/E04SAJE.java | 104 ------- simple_examples/int32/E04TAJE.java | 188 ------------- simple_examples/int32/E04TCJE.java | 263 ------------------ simple_examples/int32/E04UCJE.java | 211 --------------- simple_examples/int32/E04YAJE.java | 112 -------- simple_examples/int32/F01ADJE.java | 39 --- simple_examples/int32/F01CKJE.java | 60 ----- simple_examples/int32/F01CRJE.java | 47 ---- simple_examples/int32/F01DGJE.java | 72 ----- simple_examples/int32/F01ELJE.java | 89 ------ simple_examples/int32/F01EMJE.java | 106 -------- simple_examples/int32/F02EKJE.java | 227 ---------------- simple_examples/int32/F02FKJE.java | 230 ---------------- simple_examples/int32/F02WGJE.java | 132 --------- simple_examples/int32/F03BAJE.java | 108 -------- simple_examples/int32/F04AMJE.java | 114 -------- simple_examples/int32/F04BAJE.java | 144 ---------- simple_examples/int32/F05AAJE.java | 99 ------- simple_examples/int32/F06CLJE.java | 40 --- simple_examples/int32/F07AAJE.java | 90 ------- simple_examples/int32/F07ABJE.java | 134 --------- simple_examples/int32/F07ADJE.java | 72 ----- simple_examples/int32/F07AQJE.java | 99 ------- simple_examples/int32/F07FAJE.java | 79 ------ simple_examples/int32/F07FBJE.java | 122 --------- simple_examples/int32/F08BTJE.java | 228 ---------------- simple_examples/int32/F08FAJE.java | 113 -------- simple_examples/int32/F08XPJE.java | 297 -------------------- simple_examples/int32/G01ALJE.java | 55 ---- simple_examples/int32/G02AKJE.java | 68 ----- simple_examples/int32/G02BJJE.java | 303 --------------------- simple_examples/int32/G02BRJE.java | 134 --------- simple_examples/int32/G02DAJE.java | 187 ------------- simple_examples/int32/G02EEJE.java | 184 ------------- simple_examples/int32/G02MAJE.java | 130 --------- simple_examples/int32/G03GAJE.java | 355 ------------------------ simple_examples/int32/G05KFJE.java | 105 -------- simple_examples/int32/G13AWJE.java | 31 --- simple_examples/int32/G13MEJE.java | 160 ----------- simple_examples/int32/G13NAJE.java | 123 --------- simple_examples/int32/H02BBJE.java | 92 ------- simple_examples/int32/H02DAJE.java | 228 ---------------- simple_examples/int32/M01CCJE.java | 42 --- simple_examples/int32/S01BAJE.java | 39 --- simple_examples/int32/S10AAJE.java | 40 --- simple_examples/int32/S10ABJE.java | 41 --- simple_examples/int32/S10ACJE.java | 41 --- simple_examples/int32/S14ABJE.java | 71 ----- simple_examples/int32/S14ACJE.java | 68 ----- simple_examples/int32/S14AFJE.java | 80 ------ simple_examples/int32/S17DCJE.java | 69 ----- simple_examples/int32/S17DGJE.java | 61 ----- simple_examples/int32/S30AAJE.java | 109 -------- simple_examples/int32/S30ACJE.java | 129 --------- simple_examples/int32/X03AAJE.java | 87 ------ simple_examples/int32/X04CBJE.java | 53 ---- simple_examples/int32/X05ABJE.java | 25 -- 113 files changed, 15934 deletions(-) delete mode 100644 simple_examples/int32/A00AAJE.java delete mode 100644 simple_examples/int32/A00ACJE.java delete mode 100644 simple_examples/int32/A00ADJE.java delete mode 100644 simple_examples/int32/C02AAJE.java delete mode 100644 simple_examples/int32/C02ABJE.java delete mode 100644 simple_examples/int32/C02AFJE.java delete mode 100644 simple_examples/int32/C02AGJE.java delete mode 100644 simple_examples/int32/C02AHJE.java delete mode 100644 simple_examples/int32/C02AJJE.java delete mode 100644 simple_examples/int32/C02AKJE.java delete mode 100644 simple_examples/int32/C02ALJE.java delete mode 100644 simple_examples/int32/C02AMJE.java delete mode 100644 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Program Results\n"); - a00aa.eval(); - - } - -} diff --git a/simple_examples/int32/A00ACJE.java b/simple_examples/int32/A00ACJE.java deleted file mode 100644 index 7f44ba3..0000000 --- a/simple_examples/int32/A00ACJE.java +++ /dev/null @@ -1,29 +0,0 @@ -import com.nag.routines.A00.A00AC; - -/** - * A00AC example program text. - * @author Mo - */ -public class A00ACJE { - - public static void main(String[] args) { - A00AC a00ac = new A00AC(); - boolean lmok; - - System.out.println(" A00ACJ Example Program Results\n"); - System.out.println(); - - a00ac.eval(); - - lmok = a00ac.eval(); - - if (lmok) { - System.out.println("A valid licence key is available"); - } - else { - System.out.println("No valid licence key was found"); - } - - } - -} diff --git a/simple_examples/int32/A00ADJE.java b/simple_examples/int32/A00ADJE.java deleted file mode 100644 index 139c8b9..0000000 --- a/simple_examples/int32/A00ADJE.java +++ /dev/null @@ -1,107 +0,0 @@ -import com.nag.routines.A00.A00AD; -import com.nag.routines.X05.X05AA; -import java.util.Arrays; - -/** - * A00AD example program text. - */ -public class A00ADJE { - - public static void main(String[] args) { - - A00AD a00ad = new A00AD(); - X05AA x05aa = new X05AA(); - int i, mkmaj, mkmin; - boolean licval; - String fcomp, hdware, impl, opsys, pcode, prec, vend; - int[] itime = new int[7]; - - // Instantiate arguments - mkmaj = 0; - mkmin = 0; - licval = false; - - // Strings must be length expected by Fortran - fcomp = getBlankString(80); - hdware = getBlankString(80); - impl = getBlankString(80); - opsys = getBlankString(80); - pcode = getBlankString(80); - prec = getBlankString(80); - vend = getBlankString(80); - - System.out.println(" A00ADJ Example Program Results\n"); - - a00ad.eval(impl, prec, pcode, mkmaj, mkmin, hdware, opsys, fcomp, vend, licval); - - // Output scalars must be retrieved manually - impl = a00ad.getIMPL(); - prec = a00ad.getPREC(); - pcode = a00ad.getPCODE(); - mkmaj = a00ad.getMKMAJ(); - mkmin = a00ad.getMKMIN(); - hdware = a00ad.getHDWARE(); - opsys = a00ad.getOPSYS(); - fcomp = a00ad.getFCOMP(); - vend = a00ad.getVEND(); - licval = a00ad.getLICVAL(); - - // Print implementation details - - System.out.println("*** Start of NAG Library implementation details ***"); - System.out.println(); - System.out.println("Implementation title: " + impl.trim()); - System.out.println(" Precision: " + prec.trim()); - System.out.println(" Product code: " + pcode.trim()); - - if (mkmin < 10) { - System.out.printf(" Mark: %2d.%1d\n", mkmaj, mkmin); - } - else { - System.out.printf(" Mark: %2d.%2d\n", mkmaj, mkmin); - } - - if (vend.trim().equals("(self-contained)")) { - System.out.println(" Vendor Library: None"); - } - else { - System.out.println(" Vendor Library: " + vend.trim()); - } - - System.out.println("Applicable to:"); - System.out.println(" hardware: " + hdware.trim()); - System.out.println(" operating system: " + opsys.trim()); - System.out.println(" Fortran compiler: " + fcomp.trim()); - System.out.println("and compatible systems."); - - if (!licval) { - System.out.println(" Licence query: Unsuccessful"); - } - else { - System.out.println(" Licence query: Successful"); - } - - System.out.println(); - System.out.println("*** End of NAG Library implementation details ***"); - - } - - /** - * Returns a new String, filled with spaces to the specified length. - * - * @param len the required length of the String - * @return a blank String of the specified length - */ - public static String getBlankString(int len) { - - if (len > 0) { - char[] arr = new char[len]; - Arrays.fill(arr, ' '); - return new String(arr); - } - - return ""; - - } - -} diff --git a/simple_examples/int32/C02AAJE.java b/simple_examples/int32/C02AAJE.java deleted file mode 100644 index 1abc528..0000000 --- a/simple_examples/int32/C02AAJE.java +++ /dev/null @@ -1,174 +0,0 @@ -import com.nag.routines.C02.C02AA; -import com.nag.routines.Routine; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X02.X02AL; -import com.nag.types.NAGComplex; -import java.util.Arrays; - -/** - * C02AA example program text. - * @author joed - * @since 27.1.0.0 - */ -public class C02AAJE { - - public static void main(String[] args) { - - System.out.println(" C02AAJ Example Program Results"); - - Routine.setComplex(new NAGComplex()); - exampleBasic(); - examplePolishing(); - - System.out.println(); - - } - - /** Demonstrate a basic problem. */ - public static void exampleBasic() { - - C02AA c02aa = new C02AA(); - int ifail, itmax, n, polish; - NAGComplex[] a, z; - double[] berr, cond; - int[] conv; - - System.out.println(); - System.out.println("Example 1: Basic Problem"); - System.out.println(); - - // Set polynomial degree and instantiate arrays - n = 5; - a = new NAGComplex[n+1]; - berr = new double[n]; - cond = new double[n]; - conv = new int[n]; - z = NAGComplex.createArray(n); - - // Set polynomial coefficients - a[0] = new NAGComplex(5.0, 6.0); - a[1] = new NAGComplex(30.0, 20.0); - a[2] = new NAGComplex(-0.2, -6.0); - a[3] = new NAGComplex(50.0, 100000.0); - a[4] = new NAGComplex(-2.0, 40.0); - a[5] = new NAGComplex(10.0, 1.0); - - // Find roots of the polynomial - itmax = 30; - polish = 1; - ifail = 0; - c02aa.eval(a, n, itmax, polish, z, berr, cond, conv, ifail); - - // Print output - System.out.println(" i z conv berr cond "); - System.out.println(" ---------------------------------------------------"); - for (int i = 0; i < n; i++) { - System.out.printf(" %2d %9.2E, %9.2E %3d %9.2E %9.2E\n", i+1, - z[i].getRe(), z[i].getIm(), conv[i], berr[i], cond[i]); - } - - } - - /** Compare polishing processes on a Wilkinson-style polynomial. */ - public static void examplePolishing() { - - C02AA c02aa = new C02AA(); - X02AJ x02aj = new X02AJ(); - X02AL x02al = new X02AL(); - NAGComplex pz; - double delta, eps, err, fwderr, maxfwderr, maxrelerr, relerr, rmax; - int ifail, itmax, k, n, polish; - NAGComplex[] a, z, zact; - double[] berr, cond; - int[] conv; - boolean[] matched; - - System.out.println(); - System.out.println("Example 2: Polishing Processes"); - System.out.println(); - - // Set polynomial degree and instantiate - n = 10; - a = new NAGComplex[n+1]; - berr = new double[n]; - cond = new double[n]; - conv = new int[n]; - matched = new boolean[n]; - z = new NAGComplex[n]; - zact = new NAGComplex[n]; - - // Set known roots and (instantiate z) - for (int i = 0; i < n; i++) { - zact[i] = new NAGComplex((double) i+1, 0.0); - z[i] = new NAGComplex(); - } - - // Multiply out (z-1)(z-2)...(z-n) for coefficients - for (int i = 0; i < n; i++) { - a[i] = new NAGComplex(); - } - a[n] = new NAGComplex(1.0, 0.0); - for (int i = 0; i < n; i++) { - for (int j = 0; j < n; j++) { - a[j] = a[j+1].subtract(a[j].multiply(zact[i])); - } - a[n] = a[n].negate().multiply(zact[i]); - } - - System.out.println(" polish relerr fwderr "); - System.out.println(" ----------------------------"); - - itmax = 30; - eps = x02aj.eval(); - rmax = x02al.eval(); - - for (polish = 0; polish <= 2; polish++) { - - // Find roots - ifail = 0; - c02aa.eval(a, n, itmax, polish, z, berr, cond, conv, ifail); - - /* Calculate the maximum relative errors of the roots, and the maximum - * forward error evaluating the polynomial at those roots. Errors are - * capped at machine precision. */ - maxrelerr = maxfwderr = eps; - Arrays.fill(matched, false); - - for (int i = 0; i < n; i++) { - - // Evaluate polynomial at this root - pz = a[0].clone(); - for (int j = 1; j <= n; j++) { - pz = z[i].multiply(pz).add(a[j]); - } - - // Match to an expected root - k = 0; - err = rmax; - for (int j = 0; j < n; j++) { - if (!matched[j]) { - delta = z[i].subtract(zact[j]).abs(); - if (delta <= err) { - err = delta; - k = j; - } - } - } - - // Mark as matched and update max errors - matched[k] = true; - relerr = err/zact[k].abs(); - fwderr = pz.abs(); - maxrelerr = Math.max(maxrelerr, relerr); - maxfwderr = Math.max(maxfwderr, fwderr); - - } - - // Print output - System.out.printf(" %2d %10.2E%10.2E\n", polish, maxrelerr, maxfwderr); - - } - - } - -} diff --git a/simple_examples/int32/C02ABJE.java b/simple_examples/int32/C02ABJE.java deleted file mode 100644 index fad5ebb..0000000 --- a/simple_examples/int32/C02ABJE.java +++ /dev/null @@ -1,217 +0,0 @@ -import com.nag.routines.C02.C02AB; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X02.X02AL; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.util.Arrays; - -/** - * C02AB - */ -public class C02ABJE { - - public static void main(String[] args) { - - final boolean polish_example = false; - - Routine.setComplex(new NAGComplex()); - - System.out.println(" C02ABJ Example Program Results"); - - ex1_basic(args); - if (polish_example) { - ex2_polishing(args); - } - } - - public static void ex1_basic(String[] args) { - - int i, ifail, itmax, n = 0, polish; - - NAGComplex[] z = null; - double[] a = null, berr = null, cond = null; - int[] conv = null; - - System.out.println("\n Basic Problem\n"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading in data file - String line = reader.readLine(); - line = reader.readLine(); - line = reader.readLine(); - - // Read polynomial degree and allocate - line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - a = new double[n + 1]; - berr = new double[n]; - cond = new double[n]; - conv = new int[n]; - z = NAGComplex.createArray(n); - - // Read polynomial coefficients - for (i = 0; i <= n; i++) { - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - a[i] = Double.parseDouble(sVal[0]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Find roots of the polynomial - itmax = 30; - polish = 1; - ifail = 0; - C02AB c02ab = new C02AB(); - c02ab.eval(a ,n, itmax, polish, z, berr, cond, conv, ifail); - - // Print output - System.out.println(" i z conv berr cond"); - System.out.println(" -----------------------------------------------------"); - for (i = 0; i < n; i++) { - System.out.printf(" %2d (%10.2E, %9.2E) %3d %9.2E %9.2E\n", i+1, z[i].getRe(), z[i].getIm(), conv[i], berr[i], cond[i]); - } - } - - public static void ex2_polishing(String[] args) { - NAGComplex pz = new NAGComplex(); - double delta, eps, err, fwderr, maxfwderr, maxrelerr, relerr, rmax; - int i, ifail, itmax, j, k, n = 0, polish; - - NAGComplex[] z = null, zact = null; - double[] a = null, berr = null, cond = null; - int[] conv = null; - boolean[] matched = null; - - System.out.println("\n Polishing Processes\n"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading and previous example in data file - for (i = 0; i <= 12; i++) { - reader.readLine(); - } - - // Read polynomial degree and allocate - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - - a = new double[n + 1]; - berr = new double[n]; - cond = new double[n]; - conv = new int[n]; - matched = new boolean[n]; - z = NAGComplex.createArray(n); - zact = NAGComplex.createArray(n); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Set known roots - for (i = 0; i < n; i++) { - zact[i] = new NAGComplex((double) (i + 1), 0.0); - } - - // Multiply out (z-1)(z-2)...(z-n) for coefficients - for (i = 0; i < n; i++) { - a[i] = 0.0; - } - a[n] = 1.0; - for (i = 0; i < n; i++) { - for (j = 0; j < n; j++) { - a[j] = a[j + 1] - a[j] * zact[i].getRe(); - } - a[n] = -a[n] * zact[i].getRe(); - } - - System.out.println(" polish relerr fwderr"); - System.out.println(" ----------------------------"); - - // Use different polish modes - X02AJ x02aj = new X02AJ(); - X02AL x02al = new X02AL(); - for (polish = 0; polish <= 2; polish++) { - - itmax = 30; - eps = x02aj.eval(); - rmax = x02al.eval(); - - // Find roots - ifail = 0; - C02AB c02ab = new C02AB(); - c02ab.eval(a, n , itmax, polish, z, berr, cond, conv, ifail); - - // Calculate the maximum relative errors of the roots, and the maximum - // forward error evaluating the polynomial at those roots. Errors are - // capped at machine precision. - maxrelerr = eps; - maxfwderr = eps; - Arrays.fill(matched, false); - - for (i = 0; i < n; i++) { - // Evaluate polynomial at this root - pz = new NAGComplex(a[0], 0.0); - for (j = 1; j <= n; j++) { - pz = z[i].multiply(pz).add(new NAGComplex(a[j], 0.0)); - } - - // Match to an expected root - k = 0; - err = rmax; - for (j = 0; j < n; j++) { - if (!matched[j]) { - delta = z[i].subtract(zact[j]).abs(); - if (delta <= err) { - err = delta; - k = j; - } - } - } - - // Mark as matched and update max errors - matched[k] = true; - relerr = err/zact[k].abs(); - fwderr = pz.abs(); - maxrelerr = Math.max(maxrelerr, relerr); - maxfwderr = Math.max(maxfwderr, fwderr); - } - - // Print output - System.out.printf(" %2d %10.2E%10.2E\n", polish, maxrelerr, maxfwderr); - - } - } -} diff --git a/simple_examples/int32/C02AFJE.java b/simple_examples/int32/C02AFJE.java deleted file mode 100644 index 6043be7..0000000 --- a/simple_examples/int32/C02AFJE.java +++ /dev/null @@ -1,271 +0,0 @@ -import com.nag.routines.C02.C02AF; -import com.nag.routines.A02.A02AB; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X02.X02AL; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.util.Arrays; - -/** - * C02AF - */ -public class C02AFJE { - - public static final boolean scal = true; - - public static void main(String[] args) { - - System.out.println(" C02AFJ Example Program Results"); - - ex1(args); - - ex2(args); - } - - public static void ex1(String[] args) { - - int i, ifail, n = 0; - - double[][] a = null, z = null; - double[] w = null; - - System.out.println("\n\n Example 1"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading in data file - reader.readLine(); - reader.readLine(); - reader.readLine(); - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - - a = new double[2][n + 1]; - w = new double[4 * (n + 1)]; - z = new double[2][n]; - - for (i = 0; i <= n; i++) { - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - a[0][i] = Double.parseDouble(sVal[0]); - a[1][i] = Double.parseDouble(sVal[1]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = 0; - C02AF c02af = new C02AF(); - double[] a1d = convert2DTo1D(a); - double[] z1d = convert2DTo1D(z); - c02af.eval(a1d, n, scal, z1d, w, ifail); - - z = convert1DTo2D(z1d, 2); - - System.out.println(); - System.out.printf(" Degree of polynomial = %4d\n", n); - System.out.println(); - System.out.println(" Computed roots of polynomial"); - System.out.println(); - - for (i = 0; i < n; i++) { - System.out.printf(" z = %12.4E%+12.4E*i\n", z[0][i], z[1][i]); - } - - } - - public static void ex2(String[] args) { - - double deltac, deltai, di, eps, epsbar, f, r1, r2, r3, rmax; - int i, ifail, j, jmin = 0, n = 0; - - double[][] a = null, abar = null, z = null, zbar = null; - double[] r = null, w = null; - int[] m = null; - - System.out.println("\n\n Example 2"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading and previous example in data file - for (i = 0; i < 12; i++) { - reader.readLine(); - } - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - a = new double[2][n + 1]; - abar = new double[2][n + 1]; - r = new double[n]; - w = new double[4 * (n + 1)]; - z = new double[2][n]; - zbar = new double[2][n]; - m = new int[n]; - - // Read in the coefficients of the original polynomial. - for (i = 0; i <= n; i++) { - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - a[0][i] = Double.parseDouble(sVal[0]); - a[1][i] = Double.parseDouble(sVal[1]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Compute the roots of the original polynomial. - ifail = 0; - C02AF c02af = new C02AF(); - double[] a1d = convert2DTo1D(a); - double[] z1d = convert2DTo1D(z); - c02af.eval(a1d, n, scal, z1d, w, ifail); - - z = convert1DTo2D(z1d, 2); - - // Form the coefficients of the perturbed polynomial. - X02AJ x02aj = new X02AJ(); - eps = x02aj.eval(); - epsbar = 3.0 * eps; - - for (i = 0; i <= n; i++) { - if (a[0][i] != 0.0E0) { - f = 1.0E0 + epsbar; - epsbar = -epsbar; - abar[0][i] = f * a[0][i]; - - if (a[1][i] != 0.0E0) { - abar[1][i] = f * a[1][i]; - } else { - abar[1][i] = 0.0E0; - } - - } else { - - if (a[1][i] != 0.0E0) { - f = 1.0E0 + epsbar; - epsbar = -epsbar; - abar[1][i] = f * a[1][i]; - } else { - abar[1][i] = 0.0E0; - } - } - } - - // Compute the roots of the perturbed polynomial. - ifail = 0; - double[] abar1d = convert2DTo1D(abar); - double[] zbar1d = convert2DTo1D(zbar); - c02af.eval(abar1d, n, scal, zbar1d, w, ifail); - - zbar = convert1DTo2D(zbar1d, 2); - - // Perform error analysis. - - // Initialize markers to 0 (unmarked). - Arrays.fill(m, 0); - X02AL x02al = new X02AL(); - rmax = x02al.eval(); - - // Loop over all unperturbed roots (stored in Z). - A02AB a02ab = new A02AB(); - for (i = 0; i < n; i++) { - deltai = rmax; - r1 = a02ab.eval(z[0][i], z[1][i]); - - // Loop over all perturbed roots (stored in ZBAR). - for (j = 0; j < n; j++) { - // Compare the current unperturbed root to all unmarked - // perturbed roots. - - if (m[j] == 0) { - r2 = a02ab.eval(zbar[0][j], zbar[1][j]); - deltac = Math.abs(r1 - r2); - - if (deltac < deltai) { - deltai = deltac; - jmin = j; - } - } - } - - // Mark the selected perturbed root. - m[jmin] = 1; - - // Compute the relative error. - if (r1 != 0.0E0) { - r3 = a02ab.eval(zbar[0][jmin], zbar[1][jmin]); - di = Math.min(r1, r3); - r[i] = Math.max(deltai / Math.max(di, deltai / rmax), eps); - } else { - r[i] = 0.0E0; - } - } - - System.out.println(); - System.out.printf(" Degree of polynomial = %4d\n", n); - System.out.println(); - System.out.println(" Computed roots of polynomial Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < n; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", z[0][i], z[1][i], r[i]); - } - - } - - public static double[] convert2DTo1D(double[][] a) { - double[] b = new double[a.length * a[0].length]; - int n = a.length; - - for (int i = 0; i < a.length; i++) { - for (int j = 0; j < a[0].length; j++) { - b[i + j*n] = a[i][j]; - } - } - - return b; - } - - public static double[][] convert1DTo2D(double[] a, int n) { - double[][] b = new double[n][a.length / n]; - - for (int i = 0; i < b.length; i++) { - for (int j = 0; j < b[0].length; j++) { - b[i][j] = a[i + j*n]; - } - } - - return b; - } -} diff --git a/simple_examples/int32/C02AGJE.java b/simple_examples/int32/C02AGJE.java deleted file mode 100644 index c58e524..0000000 --- a/simple_examples/int32/C02AGJE.java +++ /dev/null @@ -1,262 +0,0 @@ -import com.nag.routines.C02.C02AG; -import com.nag.routines.A02.A02AB; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X02.X02AL; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.util.Arrays; - -/** - * C02AG - */ -public class C02AGJE { - - public static final boolean scal = true; - - public static void main(String[] args) { - - System.out.println(" C02AGJ Example Program Results"); - - ex1(args); - - ex2(args); - } - - public static void ex1(String[] args) { - double zi, zr; - int i, ifail, n = 0, nroot; - - double[] a = null, w = null; - double[][] z = null; - - System.out.println("\n\n Example 1\n"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading in data file - reader.readLine(); - reader.readLine(); - reader.readLine(); - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - a = new double[n + 1]; - w = new double[2 * (n + 1)]; - z = new double[2][n]; - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i <= n; i++) { - a[i] = Double.parseDouble(sVal[i]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - System.out.println(); - System.out.printf(" Degree of polynomial = %4d\n", n); - System.out.println(); - - ifail = 0; - C02AG c02ag = new C02AG(); - double[] z1d = convert2DTo1D(z); - c02ag.eval(a, n, scal, z1d, w, ifail); - - z = convert1DTo2D(z1d, 2); - - System.out.println(" Computed roots of polynomial"); - System.out.println(); - - nroot = 0; - - while (nroot < n) { - zr = z[0][nroot]; - zi = z[1][nroot]; - if (zi == 0.0E0) { - System.out.printf(" z = %12.4E\n", zr); - nroot += 1; - } else { - System.out.printf(" z = %12.4E +/- %12.4E*i\n", zr, Math.abs(zi)); - nroot += 2; - } - } - } - - public static void ex2(String[] args) { - - double deltac, deltai, di, eps, epsbar, f, r1, r2, r3, rmax; - int i, ifail, j, jmin = 0, n = 0; - - double[] a = null, abar = null, r = null, w = null; - double[][] z = null, zbar = null; - int[] m = null; - - System.out.println("\n\n Example 2"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading and previous example in data file - for (i = 0; i < 7; i++) { - reader.readLine(); - } - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - - a = new double[n+1]; - abar = new double[n+1]; - r = new double[n]; - w = new double[2 * (n+1)]; - z = new double[2][n]; - zbar = new double[2][n]; - m = new int[n]; - - // Read in the coefficients of the original polynomial. - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i <= n; i++) { - a[i] = Double.parseDouble(sVal[i]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Compute the roots of the original polynomial. - ifail = 0; - C02AG c02ag = new C02AG(); - double[] z1d = convert2DTo1D(z); - c02ag.eval(a, n, scal, z1d ,w, ifail); - - z = convert1DTo2D(z1d, 2); - - // Form the coefficients of the perturbed polynomial. - X02AJ x02aj = new X02AJ(); - eps = x02aj.eval(); - epsbar= 3.0 * eps; - - for (i = 0; i <= n; i++) { - if (a[i] != 0.0) { - f = 1.0 + epsbar; - epsbar = -epsbar; - abar[i] = f * a[i]; - } else { - abar[i] = 0.0E0; - } - } - - // Compute the roots of the perturbed polynomial. - ifail = 0; - double[] zbar1d = convert2DTo1D(zbar); - c02ag.eval(abar, n, scal, zbar1d, w, ifail); - - zbar = convert1DTo2D(zbar1d, 2); - - // Perform error analysis. - - // Initialize markers to 0 (unmarked). - Arrays.fill(m, 0); - - X02AL x02al = new X02AL(); - rmax = x02al.eval(); - - // Loop over all unperturbed roots (stored in Z). - A02AB a02ab = new A02AB(); - for (i = 0; i < n; i++) { - deltai = rmax; - r1 = a02ab.eval(z[0][i], z[1][i]); - - // Loop over all perturbed roots (stored in ZBAR). - for (j = 0; j < n; j++) { - // Compare the current unperturbed root to all unmarked - // perturbed roots. - - if (m[j] == 0) { - r2 = a02ab.eval(zbar[0][i], zbar[1][i]); - deltac = Math.abs(r1-r2); - - if (deltac < deltai) { - deltai = deltac; - jmin = j; - } - } - } - - // Mark the selected perturbed root. - m[jmin] = 1; - - // Compute the relative error. - if (r1 != 0.0E0) { - r3 = a02ab.eval(zbar[0][jmin], zbar[1][jmin]); - di = Math.min(r1, r3); - r[i] = Math.max(deltai / Math.max(di, deltai / rmax), eps); - } else { - r[i] = 0.0; - } - } - - System.out.println(); - System.out.printf(" Degree of polynomial = %4d\n", n); - System.out.println(); - System.out.println(" Computed roots of polynomial Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < n; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", z[0][i], z[1][i], r[i]); - } - } - - public static double[] convert2DTo1D(double[][] a) { - double[] b = new double[a.length * a[0].length]; - int n = a.length; - - for (int i = 0; i < a.length; i++) { - for (int j = 0; j < a[0].length; j++) { - b[i + j * n] = a[i][j]; - } - } - - return b; - } - - public static double[][] convert1DTo2D(double[] a, int n) { - double[][] b = new double[n][a.length / n]; - - for (int i = 0; i < b.length; i++) { - for (int j = 0; j < b[0].length; j++) { - b[i][j] = a[i + j * n]; - } - } - - return b; - } -} diff --git a/simple_examples/int32/C02AHJE.java b/simple_examples/int32/C02AHJE.java deleted file mode 100644 index b1e12cd..0000000 --- a/simple_examples/int32/C02AHJE.java +++ /dev/null @@ -1,61 +0,0 @@ -import com.nag.routines.C02.C02AH; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AH - */ -public class C02AHJE { - - public static void main(String[] args) { - - double ai = 0, ar = 0, bi = 0, br = 0, ci = 0, cr = 0; - int ifail; - - double[] zlg = new double[2]; - double[] zsm = new double[2]; - - System.out.println(" C02AHJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - ar = Double.parseDouble(sVal[0]); - ai = Double.parseDouble(sVal[1]); - br = Double.parseDouble(sVal[2]); - bi = Double.parseDouble(sVal[3]); - cr = Double.parseDouble(sVal[4]); - ci = Double.parseDouble(sVal[5]); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = -1; - C02AH c02ah = new C02AH(); - c02ah.eval(ar, ai, br, bi, cr, ci, zsm, zlg, ifail); - ifail = c02ah.getIFAIL(); - - if (ifail == 0) { - System.out.println("\n Roots of quadratic equation\n"); - System.out.printf(" z = %12.4E%+14.4E*i\n", zsm[0], zsm[1]); - System.out.printf(" z = %12.4E%+14.4E*i\n", zlg[0], zlg[1]); - } - } -} diff --git a/simple_examples/int32/C02AJJE.java b/simple_examples/int32/C02AJJE.java deleted file mode 100644 index 64e3a5e..0000000 --- a/simple_examples/int32/C02AJJE.java +++ /dev/null @@ -1,65 +0,0 @@ -import com.nag.routines.C02.C02AJ; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AJ - */ -public class C02AJJE { - - public static void main(String[] args) { - - double a = 0, b = 0, c = 0; - int ifail; - - double[] zlg = new double[2]; - double[] zsm = new double[2]; - - System.out.println(" C02AJJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - a = Double.parseDouble(sVal[0]); - b = Double.parseDouble(sVal[1]); - c = Double.parseDouble(sVal[2]); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = -1; - C02AJ c02aj = new C02AJ(); - c02aj.eval(a, b, c, zsm, zlg, ifail); - ifail = c02aj.getIFAIL(); - - if (ifail == 0) { - System.out.println("\n Roots of quadratic equation\n"); - - if (zsm[1] == 0.0E0) { - // 2 real roots. - System.out.printf(" z = %12.4E\n", zsm[0]); - System.out.printf(" z = %12.4E\n", zlg[0]); - } else { - // 2 complex roots. - System.out.printf(" z = %12.4E +/- %12.4E*i", zsm[0], Math.abs(zsm[1])); - } - } - } -} diff --git a/simple_examples/int32/C02AKJE.java b/simple_examples/int32/C02AKJE.java deleted file mode 100644 index 4a0579f..0000000 --- a/simple_examples/int32/C02AKJE.java +++ /dev/null @@ -1,62 +0,0 @@ -import com.nag.routines.C02.C02AK; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AK - */ -public class C02AKJE { - - public static void main(String[] args) { - - double r = 0, s = 0, t = 0, u = 0; - int i, ifail; - - double[] errest = new double[3]; - double[] zeroi = new double[3]; - double[] zeror = new double[3]; - - System.out.println(" C02AKJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - u = Double.parseDouble(sVal[0]); - r = Double.parseDouble(sVal[1]); - s = Double.parseDouble(sVal[2]); - t = Double.parseDouble(sVal[3]); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = 0; - C02AK c02ak = new C02AK(); - c02ak.eval(u, r, s, t, zeror, zeroi, errest, ifail); - - System.out.println(); - System.out.println(" Roots of cubic equation Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < 3; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); - } - } -} diff --git a/simple_examples/int32/C02ALJE.java b/simple_examples/int32/C02ALJE.java deleted file mode 100644 index 4f9eac9..0000000 --- a/simple_examples/int32/C02ALJE.java +++ /dev/null @@ -1,64 +0,0 @@ -import com.nag.routines.C02.C02AL; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AL - */ -public class C02ALJE { - - public static void main(String[] args) { - - double a = 0, b = 0, c = 0, d = 0, e = 0; - int i, ifail; - - double[] errest = new double[4]; - double[] zeroi = new double[4]; - double[] zeror = new double[4]; - - System.out.println(" C02ALJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - e = Double.parseDouble(sVal[0]); - a = Double.parseDouble(sVal[1]); - b = Double.parseDouble(sVal[2]); - c = Double.parseDouble(sVal[3]); - d = Double.parseDouble(sVal[4]); - - } catch (FileNotFoundException e_exception) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e_exception) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e_exception.getMessage()); - } - - ifail = 0; - C02AL c02al = new C02AL(); - c02al.eval(e, a, b, c, d, zeror, zeroi, errest, ifail); - ifail = c02al.getIFAIL(); - - System.out.println(); - System.out.println(" Roots of quartic equation Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < 4; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); - } - } -} diff --git a/simple_examples/int32/C02AMJE.java b/simple_examples/int32/C02AMJE.java deleted file mode 100644 index f1fffa4..0000000 --- a/simple_examples/int32/C02AMJE.java +++ /dev/null @@ -1,75 +0,0 @@ -import com.nag.routines.C02.C02AM; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AM - */ -public class C02AMJE { - - public static void main(String[] args) { - - Routine.setComplex(new NAGComplex()); - - NAGComplex r = null, s = null, t = null, u = null; - int i, ifail; - - double[] errest = new double[3]; - double[] zeroi = new double[3]; - double[] zeror = new double[3]; - - System.out.println(" C02AMJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine().replaceAll("[(),]", ""); - String[] sVal = line.trim().split("\\s+"); - u = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - r = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - s = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - t = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = 0; - C02AM c02am = new C02AM(); - c02am.eval(u, r, s, t, zeror, zeroi, errest, ifail); - - System.out.println(); - System.out.println(" Roots of cubic equation Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < 3; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); - } - } -} diff --git a/simple_examples/int32/C02ANJE.java b/simple_examples/int32/C02ANJE.java deleted file mode 100644 index dc865e2..0000000 --- a/simple_examples/int32/C02ANJE.java +++ /dev/null @@ -1,80 +0,0 @@ -import com.nag.routines.C02.C02AN; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AN - */ -public class C02ANJE { - - public static void main(String[] args) { - - Routine.setComplex(new NAGComplex()); - - NAGComplex a = null, b = null, c = null, d = null, e = null; - int i, ifail; - - double[] errest = new double[4]; - double[] zeroi = new double[4]; - double[] zeror = new double[4]; - - System.out.println(" C02ANJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine().replaceAll("[(),]", ""); - String[] sVal = line.trim().split("\\s+"); - e = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - a = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - b = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - c = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - d = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - } catch (FileNotFoundException e_exception) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e_exception) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e_exception.getMessage()); - } - - ifail = 0; - C02AN c02an = new C02AN(); - c02an.eval(e, a, b, c, d, zeror, zeroi, errest, ifail); - ifail = c02an.getIFAIL(); - - System.out.println(); - System.out.println(" Roots of quartic equation Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < 4; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); - } - } -} diff --git a/simple_examples/int32/C05AUJE.java b/simple_examples/int32/C05AUJE.java deleted file mode 100644 index d2b09b1..0000000 --- a/simple_examples/int32/C05AUJE.java +++ /dev/null @@ -1,67 +0,0 @@ -import com.nag.routines.C05.C05AU; - -/** - * C05AUJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class C05AUJE{ - - /** - * C05AUJ main program - */ - public static void main(String[] args){ - double a = 0, b = 0, eps, eta, h, x; //placeholders - int ifail; - double[] ruser; - int[] iuser; - - ruser = new double[1]; //need to initialise before passing to wrapper - iuser = new int[1]; - - System.out.println("C05AUJ Example Program Results"); - - x = 1; - h = 0.1; - eps = 0.00001; - eta = 0; - - //Instance of class f to pass to wrapper - f f1 = new f(); - - ifail = -1; - C05AU c05au = new C05AU(x, h, eps, eta, f1, a, b, iuser, ruser, ifail); - c05au.eval(); - - //update values - x = c05au.getX(); - a = c05au.getA(); - b = c05au.getB(); - ifail = c05au.getIFAIL(); - - System.out.println(); - - switch(ifail){ - case 0: - System.out.printf("Root is : \t%.5f\n", x); - System.out.printf("Interval searched is : \t[ %.5f, %.5f]\n", a, b); - break; - case 3: - case 4: - System.out.printf("Final value = %.5f\n", x); - break; - } - } - - /** - * Extends abstract class C05AU.Abstract_C05AU_F. eval() returns the value of the function at a given x. - * eval() must be implemented by the user. - * @return x - e^x - */ - public static class f extends C05AU.Abstract_C05AU_F{ - public double eval(){ - return(this.X - Math.exp(-this.X)); - } - } -} - diff --git a/simple_examples/int32/C05AWJE.java b/simple_examples/int32/C05AWJE.java deleted file mode 100644 index 6ea3c9f..0000000 --- a/simple_examples/int32/C05AWJE.java +++ /dev/null @@ -1,59 +0,0 @@ -import com.nag.routines.C05.C05AW; - -public class C05AWJE{ - - public static void main(String[] args){ - double eps, eta, x; - int ifail, nfmax; - double[] ruser; - int[] iuser; - - ruser = new double[1]; - iuser = new int[1]; - - System.out.println("C05AWJ Example Program Results"); - System.out.println(); - - boolean finished = false; - for(int i = 3; i <= 4; i++){ - eps = Math.pow(10, -i); - x = 1; - eta = 0; - nfmax = 200; - - ifail = -1; - f f1 = new f(); - C05AW c05aw = new C05AW(x, eps, eta, f1, nfmax, iuser, ruser, ifail); - c05aw.eval(); - - ifail = c05aw.getIFAIL(); - x = c05aw.getX(); - eps = c05aw.getEPS(); - - switch(ifail){ - case(0): - System.out.printf("With eps = %.2e root = %.5f\n", eps, x); - break; - case(-1): - //exit loop - finished = true; - break; - case(3): - case(4): - System.out.printf("With eps = %.2e root = %.5f\n", eps, x); - break; - } - if(finished){ - break; - } - } - } - - public static class f extends C05AW.Abstract_C05AW_F{ - public double eval(){ - return(Math.exp(-X) - X); - } - } -} - - diff --git a/simple_examples/int32/C05AYJE.java b/simple_examples/int32/C05AYJE.java deleted file mode 100644 index c9ee43b..0000000 --- a/simple_examples/int32/C05AYJE.java +++ /dev/null @@ -1,44 +0,0 @@ -import com.nag.routines.C05.C05AY; - -/** - * C05AY example program text. - */ -public class C05AYJE { - - public static void main(String[] args) { - - C05AY c05ay = new C05AY(); - OBJFUN f = new OBJFUN(); - double a = 0.0, b = 1.0, eps = 1.0e-5, eta = 0.0, x = 0.0; - int ifail = 0; - int[] iuser = new int[1]; - double[] ruser = new double[1]; - - System.out.println("C05AYJ Example Program Results"); - System.out.println(); - - c05ay.eval(a, b, eps, eta, f, x, iuser, ruser, ifail); - x = c05ay.getX(); - - switch (ifail) { - case 0: - System.out.printf("Zero at x = %12.5f\n", x); - break; - case 2: case 3: - System.out.printf("Final point = %12.5f\n", x); - break; - default: - System.out.println("Unexpected ifail = " + ifail); - } - - } - - private static class OBJFUN extends C05AY.Abstract_C05AY_F { - - public double eval() { - return Math.exp(-X) - X; - } - - } - -} diff --git a/simple_examples/int32/C05AZJE.java b/simple_examples/int32/C05AZJE.java deleted file mode 100644 index 7c3e27e..0000000 --- a/simple_examples/int32/C05AZJE.java +++ /dev/null @@ -1,65 +0,0 @@ -import com.nag.routines.C05.C05AZ; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * C05AZ example program text. - */ -public class C05AZJE { - - public static void main(String[] args) { - double tolx = 0.00001, x = 0.0, y = 1.0, fx; - int ir = 0, ind = 1, ifail = -1; - double[] c = new double[17]; - boolean keepOn = true; - - - C05AZ c05az = new C05AZ(); - fx = fun(x); - int ite = 0; - - System.out.println(" C05AZJ Example Program Results\n"); - System.out.println(" Iterations\n"); - - while (keepOn) { - ++ite; - - c05az.eval(x,y,fx,tolx,ir,c,ind,ifail); - - x = c05az.getX(); - y = c05az.getY(); - tolx = c05az.getTOLX(); - ir = c05az.getIR(); - ind = c05az.getIND(); - ifail = c05az.getIFAIL(); - if (ind == 0) { - keepOn = false; - } - else { - fx = fun(x); - System.out.printf(" X = %7.5f FX = %11.4E IND = %1d\n", x, fx, ind); - } - - } - - switch (ifail) { - case 0: - System.out.println("\n Solution\n"); - System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); - break; - case 4: - case 5: - System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); - break; - default: - System.out.printf("Unexpected error ifail=%d\n",ifail); - } - - } - - private static double fun(double x) { - double res = (Math.expm1(-x) + 1) - x; - return res; - } - -} diff --git a/simple_examples/int32/C05BBJE.java b/simple_examples/int32/C05BBJE.java deleted file mode 100644 index 4723773..0000000 --- a/simple_examples/int32/C05BBJE.java +++ /dev/null @@ -1,89 +0,0 @@ -import com.nag.routines.C05.C05BB; -import com.nag.types.NAGComplex; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C05BBJ Example program text. - * @author willa - * @since 27.1.0.0 - */ -public class C05BBJE{ - - /** - * C05BBJE main program text - */ - public static void main(String[] args){ - NAGComplex w, z; - double resid = 0; - int branch = 0, ifail = 0; //placeholder - boolean offset = false; //placeholder - - //need to initialise first - z = new NAGComplex(); - w = new NAGComplex(); - - System.out.println("C05BBJ Example Program Results"); - - if(args.length != 1){ - System.out.println("Please specify path to data file as input"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - branch = Integer.parseInt(sVal[0]); - - line = reader.readLine(); - sVal = line.split("\\s+"); - offset = Boolean.parseBoolean(sVal[0]); - - System.out.printf("Branch = %d\n", branch); - System.out.printf("Offset = %b\n", offset); - - System.out.println(); - System.out.printf("\t\tZ\t\t\tW(Z)\t\t\t\tRESID\tIFAIL\n"); - System.out.println(); - - while(true){ - line = reader.readLine(); - if(line == null){ - break; - } - sVal = line.split("\\s+"); - - z.setRe(Double.parseDouble(sVal[0])); - z.setIm(Double.parseDouble(sVal[1])); - - ifail = -1; - C05BB c05bb = new C05BB(branch, offset, z, w, resid, ifail); - c05bb.eval(); - - z = (NAGComplex) c05bb.getZ(); - w = (NAGComplex) c05bb.getW(); - resid = c05bb.getRESID(); - ifail = c05bb.getIFAIL(); - - if(ifail < 0){ - break; - } - - System.out.printf("(%.5e, %.5e)\t (%.5e, %.5e)\t %.5e\t %d\n", z.getRe(), z.getIm(), w.getRe(), w.getIm(), resid, ifail); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} diff --git a/simple_examples/int32/C05MBJE.java b/simple_examples/int32/C05MBJE.java deleted file mode 100644 index 9b46ff5..0000000 --- a/simple_examples/int32/C05MBJE.java +++ /dev/null @@ -1,95 +0,0 @@ -import com.nag.routines.C05.C05MB; -import com.nag.routines.F06.DNRM2; -import com.nag.routines.X02.X02AJ; - -/** - * C05MBJ example program text. - * - * @author joed - * @since 27.0.0.0 - * - */ -public class C05MBJE { - - private static final int n = 4; - - private static class FCN extends C05MB.Abstract_C05MB_FCN { - - public void eval() { - - FVEC[0] = Math.cos(X[2]) - X[0]; - FVEC[1] = Math.sqrt(1.0 - Math.pow(X[3],2)) - X[1]; - FVEC[2] = Math.sin(X[0]) - X[2]; - FVEC[3] = Math.pow(X[1], 2) - X[3]; - - // Set iflag negative to terminate execution for any reason - IFLAG = 0; - - return; - - } - - } - - /** - * C05MBJ example main program. - */ - public static void main(String[] args) { - - C05MB c05mb = new C05MB(); - DNRM2 dnrm2 = new DNRM2(); - X02AJ x02aj = new X02AJ(); - FCN fcn = new FCN(); - long cpuser; - double atol, cndtol, fnorm, machpr, rtol; - int astart, i, ifail, m; - double[] fvec, x; - double[] ruser = new double[1]; - int[] iuser = new int[1]; - - System.out.println("C05MBJ Example Program Results\n"); - - // Get machine precision from X02AJ - machpr = (new X02AJ()).eval(); - - fvec = new double[n]; - x = new double[n]; - - // The following starting values provide a rough solution - x = new double[]{2.0, 0.5, 2.0, 0.5}; - - m = 2; - atol = Math.sqrt(machpr); - rtol = Math.sqrt(machpr); - cndtol = 0.0; - astart = 0; - cpuser = 0; - - ifail = -1; - c05mb.eval(fcn, n, x, fvec, atol, rtol, m, cndtol, astart, iuser, ruser, - cpuser, ifail); - ifail = c05mb.getIFAIL(); - - if (ifail == 0 || ifail == 8 || ifail == 9) { - if (ifail == 0) { - // The NAG name equivalent of dnrm2 is f06ej - fnorm = dnrm2.eval(n, fvec, 1); - System.out.println(); - System.out.printf("Final 2-norm of the residuals = %12.4e\n", fnorm); - System.out.println(); - System.out.println("Final approximate solution"); - } - else { - System.out.println(); - System.out.println("Approximate solution"); - } - System.out.println(); - for (i = 1; i <= n; i++) { - System.out.printf("%12.4f", x[i-1]); - } - System.out.printf("\n"); - } - - } - -} diff --git a/simple_examples/int32/C05QBJE.java b/simple_examples/int32/C05QBJE.java deleted file mode 100644 index 4b93405..0000000 --- a/simple_examples/int32/C05QBJE.java +++ /dev/null @@ -1,167 +0,0 @@ -import com.nag.routines.C05.C05QB; -import com.nag.routines.F06.DNRM2; -import com.nag.routines.X02.X02AJ; - -/** - * C05QB example program text. - * @author ludovic - */ -public class C05QBJE { - - public static void main(String[] args) { - - C05QB c05qb = new C05QB(); - - System.out.println(" C05QBJ Example Program Results"); - - int n = 9, ifail = -1; - - double xtol, fnorm; - - int[] IUSER = new int[1]; - double[] fvec = new double[n]; - double[] x = new double[n]; - double[] RUSER = new double[1]; - - - FCN fcn = new FCN(); - - for (int i = 0; i < n; ++i) { - x[i] = -1.0; - } - xtol = Math.sqrt((new X02AJ()).eval()); - - c05qb.eval(fcn, n, x, fvec, xtol, IUSER, RUSER, ifail); - - ifail = c05qb.getIFAIL(); - - switch (ifail) { - case (0): - fnorm = (new DNRM2(n, fvec, 1)).eval(); - System.out.println(); - System.out.printf(" Final 2-norm of the residuals = %11.4E\n", fnorm); - System.out.println(); - System.out.println(" Final approximate solution"); - int count = 0; - for (int i = 0; i < n; ++i) { - System.out.printf(" %12.4f", x[i]); - ++count; - if (count == 3) { - System.out.println(); - count = 0; - } - } - break; - case (2): - case (3): - case (4): - System.out.println("Approximate solution"); - count = 0; - for (int i = 0; i < n; ++i) { - System.out.printf(" %12.4f", x[i]); - ++count; - if (count == 3) { - System.out.println(); - count = 0; - } - } - break; - } - - } - - public static class FCN implements C05QB.C05QB_FCN { - - private int N, IFLAG; - private double[] X, FVEC, RUSER; - private int[] IUSER; - - @Override - public void setN(int N) { - this.N = N; - } - - @Override - public int getN() { - return N; - } - - @Override - public void setX(double[] X) { - this.X = X; - } - - @Override - public double[] getX() { - return X; - } - - @Override - public void setFVEC(double[] FVEC) { - this.FVEC = FVEC; - } - - @Override - public double[] getFVEC() { - return FVEC; - } - - @Override - public void setIUSER(int[] IUSER) { - this.IUSER = IUSER; - } - - @Override - public int[] getIUSER() { - return IUSER; - } - - @Override - public void setRUSER(double[] RUSER) { - this.RUSER = RUSER; - } - - @Override - public double[] getRUSER() { - return RUSER; - } - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void eval(int N, double[] X, double[] FVEC, int[] IUSER, double[] RUSER, int IFLAG) { - - /* - * fvec(1:n) = (3.0_nag_wp-2.0_nag_wp*x(1:n))*x(1:n) + 1.0_nag_wp - * fvec(2:n) = fvec(2:n) - x(1:(n-1)) - * fvec(1:(n-1)) = fvec(1:(n-1)) - 2.0_nag_wp*x(2:n) - */ - for (int i = 0; i < N; ++i) { - FVEC[i] = (3.0 - 2.0 * X[i]) * X[i] + 1.0; - /*if (i >= 1) { - FVEC[i] = FVEC[i] - X[i - 1]; - } - if (i < N - 1) { - FVEC[i] = FVEC[i] - 2.0 * X[i + 1]; - }*/ - } - for (int i = 1; i < N; ++i) { - FVEC[i] = FVEC[i] - X[i - 1]; - } - for (int i = 0; i < N-1; ++i) { - FVEC[i] = FVEC[i] - 2.0 * X[i + 1]; - } - - } - - } - -} diff --git a/simple_examples/int32/C06BAJE.java b/simple_examples/int32/C06BAJE.java deleted file mode 100644 index 541d4d3..0000000 --- a/simple_examples/int32/C06BAJE.java +++ /dev/null @@ -1,56 +0,0 @@ -import com.nag.routines.C06.C06BA; -import com.nag.routines.X01.X01AA; - -/** - * C06BAJ example program text. - * @author willa - */ -public class C06BAJE{ - - public static void main(String[] args){ - int lwork = 16, nout = 6; - int ifail, ncall; - double abserr = 0.0, ans, error, pi = 0.0, r, result = 0.0, seqn, sig; - double[] work; - - C06BA c06ba = new C06BA(); - work = new double[lwork]; - - System.out.println("C06BAJ Example Program Results"); - System.out.println(); - - X01AA x01aa = new X01AA(pi); - pi = x01aa.eval(); - - ans = Math.pow(pi, 2)/12.0; - ncall = 0; - sig = 1.0; - seqn = 0.0; - System.out.println("\t\t\t Estimated\t Actual"); - System.out.println("I\t SEQN \t RESULT\t abs error\t error"); - System.out.println(); - - for(int i = 0; i < 10; i++){ - r = (double) i + 1; - seqn = seqn + sig/Math.pow(r, 2); - - ifail = 0; - c06ba.eval(seqn, ncall, result, abserr, work, lwork, ifail); - - //update variables - ncall = c06ba.getNCALL(); - result = c06ba.getRESULT(); - abserr = c06ba.getABSERR(); - - error = result - ans; - sig = -sig; - - if(i <= 2){ - System.out.printf("%d\t %.4f\t %.4f\t -\t\t %.2e\n", (i + 1), seqn, result, error); - } - else{ - System.out.printf("%d\t %.4f\t %.4f\t %.2e\t %.2e\n", (i + 1), seqn, result, abserr, error); - } - } - } -} diff --git a/simple_examples/int32/C06FKJE.java b/simple_examples/int32/C06FKJE.java deleted file mode 100644 index 58db62f..0000000 --- a/simple_examples/int32/C06FKJE.java +++ /dev/null @@ -1,91 +0,0 @@ -import com.nag.routines.C06.C06FK; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C06FKJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class C06FKJE{ - - /** - * C06FKJE main program - */ - public static void main(String[] args){ - int ifail = 0, n = 0; //placeholder - double[] work, xa, xb, ya, yb; - - work = new double[0]; - xa = new double[0]; - xb = new double[0]; - ya = new double[0]; - yb = new double[0]; //placeholders - - System.out.println("C06FKJ Example Program Results"); - System.out.println(); - - //Supply file path as argument - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //Loop until break... - while(true){ - line = reader.readLine(); - //Break when the end of the file is reached - if(line == null){ - break; - } - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[0]); - - work = new double[n]; - xa = new double[n]; - xb = new double[n]; - ya = new double[n]; - yb = new double[n]; - - for(int i = 0; i < n; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - xa[i] = Double.parseDouble(sVal[0]); - xb[i] = xa[i]; - ya[i] = Double.parseDouble(sVal[1]); - yb[i] = ya[i]; - } - - ifail = 0; - - C06FK c06fk1 = new C06FK(1, xa, ya, n, work, ifail); - c06fk1.eval(); - xa = c06fk1.getX(); - C06FK c06fk2 = new C06FK(2, xb, yb, n, work, ifail); - c06fk2.eval(); - xb = c06fk2.getX(); - - System.out.printf("\tCovolution \tCorrelation\n"); - System.out.println(); - - for(int i = 0; i < n; i++){ - System.out.printf("%d\t%.5f\t\t%.5f\n", i, xa[i], xb[i]); - } - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} diff --git a/simple_examples/int32/C09AAJE.java b/simple_examples/int32/C09AAJE.java deleted file mode 100644 index 48c38b6..0000000 --- a/simple_examples/int32/C09AAJE.java +++ /dev/null @@ -1,158 +0,0 @@ -import com.nag.routines.C09.C09AA; -import com.nag.routines.C09.C09CC; -import com.nag.routines.C09.C09CD; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C09AAJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class C09AAJE{ - - /** - * C09AAJ example main program - */ - public static void main(String[] args){ - int ifail, lenc = 0, n = 0, nf = 0, nnz, nwc = 0, nwlmax = 0, ny; //placeholders - String mode = "", wavnam = "", wtrans; //placeholders - int[] dwtlev, icomm; - double[] c, x, y; - - x = new double[0]; y = new double[0]; //placeholders - - //print error message if no data file given - if(args.length != 1){ - C09AAJE.usage(); - } - - icomm = new int[100]; - - System.out.println("C09AAJ Example Program Results"); - System.out.println(); - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[1]); - - line = reader.readLine(); - sVal = line.split("\\s+"); - wavnam = sVal[1]; - mode = sVal[2]; - - x = new double[n]; - y = new double[n]; - - System.out.printf("Parameters read from file :: \n \tWavelet : %s \tEnd mode : %s \t N = %d\n", wavnam, mode, n); - - System.out.println("Input data \tX : "); - for(int i = 0; i < n; i++){ - line = reader.readLine(); - //Avoid errors with data file format and negative numbers - line = " " + line; - sVal = line.split("\\s+"); - x[i] = Double.parseDouble(sVal[1]); - System.out.printf("%.3f\t", x[i]); - } - System.out.printf("\n"); - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - //Query wavelet filter dimensions - //For Multi-Resolution analysis ,decomposition, wrtrans = 'M' - wtrans = "Multilevel"; - - //ifail: behaviour on error exit - // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft - ifail = 0; - C09AA c09aa = new C09AA(wavnam, wtrans, mode, n, nwlmax, nf, nwc, icomm, ifail); - c09aa.eval(); - - nwc = c09aa.getNWC(); - nwlmax = c09aa.getNWLMAX(); - lenc = nwc; - c = new double[lenc]; - dwtlev = new int[nwlmax + 1]; - - icomm = c09aa.getICOMM(); - ifail = 0; - //Perform discrete wavelet transform - C09CC c09cc = new C09CC(n, x, lenc, c, nwlmax, dwtlev, icomm, ifail); - c09cc.eval(); - - nf = c09aa.getNF(); - nwlmax = c09cc.getNWL(); - dwtlev = c09cc.getDWTLEV(); - c = c09cc.getC(); - - System.out.println(); - System.out.printf("Length of wavelet filter : \t%d\n", nf); - System.out.printf("Number of Levels : \t%d\n", nwlmax); - System.out.printf("Number of coefficients in each level: \n\t\t"); - for(int i = 0; i <= nwlmax; i++){ - System.out.printf("%d\t ", dwtlev[i]); - } - System.out.printf("\n"); - System.out.printf("Total number of wavelength coefficients : %d\n", nwc); - nnz = arraySum(dwtlev); - System.out.println(); - System.out.println("Wavelet coefficients C:"); - for(int i = 0; i < nnz; i++){ - System.out.printf("%.3f ", c[i]); - } - System.out.printf("\n"); - - //Reconstruct original data - ny = n; - - ifail = 0; - lenc = c09cc.getLENC(); - icomm = c09cc.getICOMM(); - C09CD c09cd = new C09CD(nwlmax, lenc, c, ny, y, icomm, ifail); - c09cd.eval(); - - y = c09cd.getY(); - System.out.println(); - System.out.printf("Reconstruction \tY : \n"); - for(int i = 0; i < ny; i++){ - System.out.printf("%.3f ", y[i]); - } - System.out.printf("\n"); - } - - /** - * Finds the sum of all integers in an array - * @param a - * Array to sum - * @return total - */ - private static int arraySum(int[] a){ - int tot = 0; - for(int i = 0; i < a.length; i++){ - tot += a[i]; - } - return tot; - } - - /** - * No arguments supplied when exmaple runs - */ - private static void usage(){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} diff --git a/simple_examples/int32/D01BDJE.java b/simple_examples/int32/D01BDJE.java deleted file mode 100644 index 8659cc4..0000000 --- a/simple_examples/int32/D01BDJE.java +++ /dev/null @@ -1,58 +0,0 @@ -import com.nag.routines.D01.D01BD; - -/** - * D01BD example program text. - */ -public class D01BDJE { - - public static void main(String[] args) { - - double a = 0.0, b = 1.0; - double epsabs = 0.0, epsrel = 0.0001; - double result = Double.NaN; - double abserr = Double.NaN; - FUN fun = new FUN(); - D01BD d01bd = new D01BD(fun, a, b, epsabs, epsrel, result, abserr); - - d01bd.eval(); - result = d01bd.getRESULT(); - abserr = d01bd.getABSERR(); - - System.out.println(" D01BDJ Example Program Results"); - - System.out.println(); - System.out.printf(" A - lower limit of integration = %10.4f\n",a); - System.out.printf(" B - upper limit of integration = %10.4f\n",b); - System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); - System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); - System.out.println(); - System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); - System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); - System.out.println(); - - if (abserr > Math.max(epsabs,epsrel*Math.abs(result))) { - System.out.println("Warning - requested accuracy may not have been achieved"); - } - - } - - - public static class FUN implements D01BD.D01BD_F { - - private double x; - - public double eval(double x) { - return (x * x * Math.sin(10.0 * Math.PI * x)); - } - - public double getX() { - return x; - } - - public void setX(double d) { - x = d; - } - - } - -} diff --git a/simple_examples/int32/D01RJJE.java b/simple_examples/int32/D01RJJE.java deleted file mode 100644 index 9eee98a..0000000 --- a/simple_examples/int32/D01RJJE.java +++ /dev/null @@ -1,184 +0,0 @@ -import com.nag.routines.D01.D01RJ; -import com.nag.routines.X01.X01AA; -import java.util.Arrays; - -/** - * D01RJ example program text. - * @author Mo - */ -public class D01RJJE { - - public static void main(String[] args) { - - double pi = 0.0; - double a, b, epsabs, epsrel; - double result = Double.NaN; - double abserr = Double.NaN; - double[] rinfo, ruser; - int [] iinfo, iuser; - int ifail, liinfo, lrinfo, maxsub; - long cpuser; // c_ptr - F f = new F(); - - /* Header */ - System.out.println(" D01RJJ Example Program Results"); - - X01AA x01aa = new X01AA(pi); - pi = x01aa.eval(); - a = 0.0; - b = 2.0*pi; - epsabs = 0.0; - epsrel = 0.0001; - maxsub = 20; - lrinfo = 4*maxsub; - liinfo = Math.max(maxsub,4); - - rinfo = new double[lrinfo]; - iinfo = new int[liinfo]; - iuser = new int[0]; - ruser = new double[0]; - - iuser = new int[] {0}; - /* pass constant to f through ruser */ - ruser = new double[] {4.0*Math.pow(pi,2)}; - cpuser = 0L; - - D01RJ d01rj = new D01RJ(); - ifail = -1; - d01rj.eval(f, a, b, epsabs, epsrel, maxsub, result, abserr, - rinfo, iinfo, iuser, ruser, cpuser, ifail); - result = d01rj.getRESULT(); - abserr = d01rj.getABSERR(); - ifail = d01rj.getIFAIL(); - - if (ifail >= 0) { - System.out.println(); - System.out.printf(" A - lower limit of integration = %9.4f\n",a); - System.out.printf(" B - upper limit of integration = %9.4f\n",b); - System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); - System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); - System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); - System.out.println(); - if (ifail <= 5) { - System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); - System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); - System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); - System.out.println(); - } - else if (ifail == -1) { - /* User requested exit */ - System.out.printf(" Exit requested from F with IFLAG %4d\n",iuser[0]); - System.out.println(); - } - - } - - } - - public static class F implements D01RJ.D01RJ_F { - - private int NX, IFLAG; - private double[] X, FV, RUSER; - private int[] IUSER; - private long CPUSER; - - @Override - public void setX(double[] X) { - this.X = X; - } - - @Override - public double[] getX() { - return X; - } - - @Override - public void setNX(int NX) { - this.NX = NX; - } - - @Override - public int getNX() { - return NX; - } - - @Override - public void setFV(double[] FV) { - this.FV = FV; - } - - @Override - public double[] getFV() { - return FV; - } - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void setIUSER(int[] IUSER) { - this.IUSER = IUSER; - } - - @Override - public int[] getIUSER() { - return IUSER; - } - - @Override - public void setRUSER(double[] RUSER) { - this.RUSER = RUSER; - } - - @Override - public double[] getRUSER() { - return RUSER; - } - - @Override - public void setCPUSER(long CPUSER) { - this.CPUSER = CPUSER; - } - - @Override - public long getCPUSER() { - return CPUSER; - } - - @Override - public void eval(double[] X, int NX, double[] FV, int IFLAG, - int[] IUSER, double[] RUSER, long CPUSER) { - - for (int i = 0; i < NX; i++) { - FV[i] = 0.0; - } - - for (int i = 0; i < NX; i++) { - if (X[i] == 1.0) { - /* An undefined result will be generated. */ - /* Set iflag to force an immediate exit */ - IFLAG = -1; - /* Store chosen value of iflag in iuser */ - IUSER[0] = IFLAG; - } - } - if (IFLAG != -1) { - for (int j = 0; j < NX; j++) { - FV[j] = X[j] * Math.sin(30.0 * X[j])/ - Math.sqrt(1.0 - Math.pow(X[j],2)/RUSER[0]); - } - } - return; - - } - - } - -} diff --git a/simple_examples/int32/D01RKJE.java b/simple_examples/int32/D01RKJE.java deleted file mode 100644 index 20c0501..0000000 --- a/simple_examples/int32/D01RKJE.java +++ /dev/null @@ -1,173 +0,0 @@ -import com.nag.routines.D01.D01RK; -import com.nag.routines.X01.X01AA; -import java.util.Arrays; - -/** - * D01RK example program text. - * @author Mo - */ -public class D01RKJE { - - public static void main(String[] args) { - - double pi = 0.0; - double a, b, epsabs, epsrel; - double result = Double.NaN; - double abserr = Double.NaN; - double[] rinfo, ruser; - int [] iinfo, iuser; - int ifail, key, liinfo, lrinfo, maxsub; - long cpuser; // c_ptr - F f = new F(); - - /* Header */ - System.out.println(" D01RKJ Example Program Results"); - - key = 6; - X01AA x01aa = new X01AA(pi); - pi = x01aa.eval(); - a = 0.0; - b = 2.0*pi; - epsabs = 0.0; - epsrel = 0.0001; - maxsub = 20; - lrinfo = 4*maxsub; - liinfo = Math.max(maxsub,4); - - rinfo = new double[lrinfo]; - iinfo = new int[liinfo]; - iuser = new int[0]; - ruser = new double[0]; - - iuser = new int[] {0}; - ruser = new double[] {4.0*Math.pow(pi,2)}; - cpuser = 0L; - - D01RK d01rk = new D01RK(); - ifail = -1; - d01rk.eval(f, a, b, key, epsabs, epsrel, maxsub, result, abserr, - rinfo, iinfo, iuser, ruser, cpuser, ifail); - result = d01rk.getRESULT(); - abserr = d01rk.getABSERR(); - ifail = d01rk.getIFAIL(); - - if (ifail >= 0) { - System.out.println(); - System.out.printf(" A - lower limit of integration = %9.4f\n",a); - System.out.printf(" B - upper limit of integration = %9.4f\n",b); - System.out.printf(" KEY - choice of Gaussian rule = %4d\n",key); - System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); - System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); - System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); - System.out.println(); - if (ifail <= 5) { - System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); - System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); - System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); - System.out.println(); - } - else if (ifail == -1) { - /* User requested exit */ - System.out.printf(" Exit requested from F \n"); - System.out.println(); - } - - } - - } - - public static class F implements D01RK.D01RK_F { - - private int NX, IFLAG; - private double[] X, FV, RUSER; - private int[] IUSER; - private long CPUSER; - - @Override - public void setX(double[] X) { - this.X = X; - } - - @Override - public double[] getX() { - return X; - } - - @Override - public void setNX(int NX) { - this.NX = NX; - } - - @Override - public int getNX() { - return NX; - } - - @Override - public void setFV(double[] FV) { - this.FV = FV; - } - - @Override - public double[] getFV() { - return FV; - } - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void setIUSER(int[] IUSER) { - this.IUSER = IUSER; - } - - @Override - public int[] getIUSER() { - return IUSER; - } - - @Override - public void setRUSER(double[] RUSER) { - this.RUSER = RUSER; - } - - @Override - public double[] getRUSER() { - return RUSER; - } - - @Override - public void setCPUSER(long CPUSER) { - this.CPUSER = CPUSER; - } - - @Override - public long getCPUSER() { - return CPUSER; - } - - @Override - public void eval(double[] X, int NX, double[] FV, int IFLAG, - int[] IUSER, double[] RUSER, long CPUSER) { - - for (int i = 0; i < NX; i++) { - FV[i] = 0.0; - } - - for (int j = 0; j < NX; j++) { - FV[j] = X[j] * Math.sin(30.0 * X[j]) * Math.cos(X[j]); - } - return; - - } - - } - -} diff --git a/simple_examples/int32/D01RLJE.java b/simple_examples/int32/D01RLJE.java deleted file mode 100644 index c8a6d0e..0000000 --- a/simple_examples/int32/D01RLJE.java +++ /dev/null @@ -1,196 +0,0 @@ -import com.nag.routines.D01.D01RL; -import java.util.Arrays; - -/** - * D01RL example program text. - * @author Mo - */ -public class D01RLJE { - - public static void main(String[] args) { - - double a, b, epsabs, epsrel; - double result = Double.NaN; - double abserr = Double.NaN; - double[] points, rinfo, ruser; - int [] iinfo, iuser; - int ifail, liinfo, lrinfo, maxsub, npts; - long cpuser; // c_ptr - F f = new F(); - - /* Header */ - System.out.println(" D01RLJ Example Program Results"); - - epsabs = 0.0; - epsrel = 0.0001; - a = 0.0; - b = 1.0; - npts = 1; - maxsub = 20; - liinfo = 2*Math.max(maxsub,npts) + npts + 4; - lrinfo = 4*Math.max(maxsub,npts) + npts + 6; - - points = new double[npts]; - rinfo = new double[lrinfo]; - iinfo = new int[liinfo]; - iuser = new int[0]; - ruser = new double[21]; - - points[0] = 1.0/7.0; - iuser = new int[] {0}; - ruser = new double[] {0.0}; - cpuser = 0L; - - D01RL d01rl = new D01RL(); - ifail = -1; - d01rl.eval(f, a, b, npts, points, epsabs, epsrel, maxsub, result, abserr, - rinfo, iinfo, iuser, ruser, cpuser, ifail); - points = d01rl.getPOINTS(); - result = d01rl.getRESULT(); - abserr = d01rl.getABSERR(); - ifail = d01rl.getIFAIL(); - - if (ifail >= 0) { - System.out.println(); - System.out.printf(" A - lower limit of integration = %9.4f\n",a); - System.out.printf(" B - upper limit of integration = %9.4f\n",b); - System.out.printf(" POINT(1) - given break-point = %9.4f\n",points[0]); - System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); - System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); - System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); - System.out.println(); - if (ifail <= 5) { - System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); - System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); - System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); - System.out.println(); - } - else if (ifail == -1) { - /* User requested exit */ - System.out.printf(" Exit requested from F"); - System.out.println(); - } - - } - - } - - public static class F implements D01RL.D01RL_F { - - private int NX, IFLAG; - private double[] X, FV, RUSER; - private int[] IUSER; - private long CPUSER; - - @Override - public void setX(double[] X) { - this.X = X; - } - - @Override - public double[] getX() { - return X; - } - - @Override - public void setNX(int NX) { - this.NX = NX; - } - - @Override - public int getNX() { - return NX; - } - - @Override - public void setFV(double[] FV) { - this.FV = FV; - } - - @Override - public double[] getFV() { - return FV; - } - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void setIUSER(int[] IUSER) { - this.IUSER = IUSER; - } - - @Override - public int[] getIUSER() { - return IUSER; - } - - @Override - public void setRUSER(double[] RUSER) { - this.RUSER = RUSER; - } - - @Override - public double[] getRUSER() { - return RUSER; - } - - @Override - public void setCPUSER(long CPUSER) { - this.CPUSER = CPUSER; - } - - @Override - public long getCPUSER() { - return CPUSER; - } - - @Override - public void eval(double[] X, int NX, double[] FV, int IFLAG, - int[] IUSER, double[] RUSER, long CPUSER) { - - /*for (int i = 0; i < NX; i++) {*/ - /*FV[i] = 0.0;*/ - /*}*/ - - for (int i = 0; i < NX; i++) { - FV[i] = Math.abs(X[i] - 1.0/7.0); - } - - for (int i = 0; i < NX; i++) { - if (FV[i] == 0.0) { - /* A singular point will be hit. */ - /* Record offending abscissae and abort computation. */ - IFLAG = 0; - for (int k = 0; k < NX; k++) { - if (FV[k] == 0.0) { - IFLAG = IFLAG + 1; - RUSER[IFLAG-1] = X[k]; - } - } - /* Store value of iflag in iuser */ - IUSER[0] = IFLAG; - /* signal abort by setting iflag<0 */ - IFLAG = -IFLAG; - } - } - if (IFLAG == 0) { - /* Safe to evaluate. */ - for (int j = 0; j < NX; j++) { - FV[j] = 1.0/Math.sqrt(FV[j]); - } - } - return; - - } - - } - -} diff --git a/simple_examples/int32/D01RMJE.java b/simple_examples/int32/D01RMJE.java deleted file mode 100644 index 6e80b2b..0000000 --- a/simple_examples/int32/D01RMJE.java +++ /dev/null @@ -1,163 +0,0 @@ -import com.nag.routines.D01.D01RM; -import java.util.Arrays; - -/** - * D01RM example program text. - * @author Mo - */ -public class D01RMJE { - - public static void main(String[] args) { - - double bound, epsabs, epsrel; - double result = Double.NaN; - double abserr = Double.NaN; - double[] rinfo, ruser; - int [] iinfo, iuser; - int ifail, inf, liinfo, lrinfo, maxsub; - long cpuser; // c_ptr - F f = new F(); - - /* Header */ - System.out.println(" D01RMJ Example Program Results"); - - bound = 0.0; - inf = 1; - epsabs = 0.0; - epsrel = 0.0001; - maxsub = 20; - lrinfo = 4*maxsub; - liinfo = Math.max(maxsub,4); - - rinfo = new double[lrinfo]; - iinfo = new int[liinfo]; - iuser = new int[0]; - ruser = new double[0]; - - iuser = new int[] {0}; - ruser = new double[] {0.0}; - cpuser = 0L; - - D01RM d01rm = new D01RM(); - ifail = -1; - d01rm.eval(f, bound, inf, epsabs, epsrel, maxsub, result, abserr, - rinfo, iinfo, iuser, ruser, cpuser, ifail); - result = d01rm.getRESULT(); - abserr = d01rm.getABSERR(); - ifail = d01rm.getIFAIL(); - - if (ifail >= 0) { - System.out.println(); - System.out.printf(" A - lower limit of integration = %9.4f\n",bound); - System.out.println(" B - upper limit of integration = infinity\n"); - System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); - System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); - System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); - System.out.println(); - if (ifail <= 5) { - System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); - System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); - System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); - System.out.println(); - } - else if (ifail == -1) { - /* User requested exit */ - System.out.printf(" Exit requested from F \n"); - System.out.println(); - } - - } - - } - - public static class F implements D01RM.D01RM_F { - - private int NX, IFLAG; - private double[] X, FV, RUSER; - private int[] IUSER; - private long CPUSER; - - @Override - public void setX(double[] X) { - this.X = X; - } - - @Override - public double[] getX() { - return X; - } - - @Override - public void setNX(int NX) { - this.NX = NX; - } - - @Override - public int getNX() { - return NX; - } - - @Override - public void setFV(double[] FV) { - this.FV = FV; - } - - @Override - public double[] getFV() { - return FV; - } - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void setIUSER(int[] IUSER) { - this.IUSER = IUSER; - } - - @Override - public int[] getIUSER() { - return IUSER; - } - - @Override - public void setRUSER(double[] RUSER) { - this.RUSER = RUSER; - } - - @Override - public double[] getRUSER() { - return RUSER; - } - - @Override - public void setCPUSER(long CPUSER) { - this.CPUSER = CPUSER; - } - - @Override - public long getCPUSER() { - return CPUSER; - } - - @Override - public void eval(double[] X, int NX, double[] FV, int IFLAG, - int[] IUSER, double[] RUSER, long CPUSER) { - - for (int j = 0; j < NX; j++) { - FV[j] = 1.0/((X[j] + 1.0) * Math.sqrt(X[j])); - } - return; - - } - - } - -} diff --git a/simple_examples/int32/D01TCJE.java b/simple_examples/int32/D01TCJE.java deleted file mode 100644 index cde8428..0000000 --- a/simple_examples/int32/D01TCJE.java +++ /dev/null @@ -1,45 +0,0 @@ -import com.nag.routines.D01.D01TC; -import java.util.Arrays; - -/** - * D01TC example program text. - * @author Mo - */ -public class D01TCJE { - - public static void main(String[] args) { - - double a, b, c, d; - double[] abscis, weight; - int n, ifail, itype; - - /* Header */ - System.out.println(" D01TCJ Example Program Results"); - - n = 7; - a = 0.0; - b = 1.0; - c = 0.0; - d = 0.0; - itype = -3; - - abscis = new double[n]; - weight = new double[n]; - - D01TC d01tc = new D01TC(); - ifail = 0; - d01tc.eval(itype, a, b, c, d, n, weight, abscis, ifail); - abscis= d01tc.getABSCIS(); - weight = d01tc.getWEIGHT(); - - System.out.println(); - System.out.printf(" Laguerre formula, %2d points\n",n); - System.out.println(); - System.out.println(" Abscissae Weights\n"); - for (int j = 0; j < n; j++) { - System.out.printf("%15.5E %15.5E\n", abscis[j], weight[j]); - } - - } - -} diff --git a/simple_examples/int32/D02NEJE.java b/simple_examples/int32/D02NEJE.java deleted file mode 100644 index 34a5b25..0000000 --- a/simple_examples/int32/D02NEJE.java +++ /dev/null @@ -1,388 +0,0 @@ -import com.nag.routines.D02.D02MC; -import com.nag.routines.D02.D02MW; -import com.nag.routines.D02.D02NE; -import com.nag.routines.D02.D02NEZ; -import com.nag.routines.D02.D02NP; -import java.util.Arrays; - -/** - * D02NE example program text. - * @author joed - */ -public class D02NEJE { - - public static final double ALPHA = 0.04; - public static final double BETA = 1.0E4; - public static final double GAMMA = 3.0E7; - public static final int ML = 1; - public static final int MU = 2; - public static final int NEQ1 = 3; - public static final int NEQ2 = 1; - - public static JAC1 jac1 = new JAC1(); - public static JAC2 jac2 = new JAC2(); - public static RES1 res1 = new RES1(); - public static RES2 res2 = new RES2(); - - public static void main(String[] args) { - - System.out.println(" D02NEJ Example Program Results"); - - ex1(); - ex2(); - - } - - private static void ex1() { - - D02MC d02mc = new D02MC(); - D02MW d02mw = new D02MW(); - D02NE d02ne = new D02NE(); - D02NP d02np = new D02NP(); - double h0, hmax, t, tout; - int ifail, ijac, itask, itol, lcom, licom, maxord, neq; - String jceval; // length 8 - double[] atol, com, rtol, y, ydot, ruser; - int[] icom, iuser; - - ruser = new double[1]; - iuser = new int[3]; - - System.out.println(); - System.out.println(" D02NEF Example 1"); - System.out.println(); - - maxord = 5; - - neq = NEQ1; - lcom = 40 + (maxord + 4) * neq + (2 * ML + MU + 1) * neq - + 2 * (neq / (ML + MU + 1) + 1); - licom = 50 + neq; - - atol = new double[neq]; - com = new double[lcom]; - rtol = new double[neq]; - y = new double[neq]; - ydot = new double[neq]; - icom = new int[licom]; - - ijac = 1; - itol = 1; - Arrays.fill(rtol, 1.0E-3); - Arrays.fill(atol, 1.0E-6); - Arrays.fill(ydot, 0.0); - - // String length = 8 - jceval = (ijac == 1) ? "Analytic" : "Numeric "; - - // Set initial values - y[0] = 1.0; - y[1] = 0.0; - y[2] = 0.0; - - // Initialize the problem, specifying that the Jacobian is to be - // evaluated analytically using the provided routine jac. - hmax = 0.0; - h0 = 0.0; - t = 0.0; - tout = 0.02; - ifail = 0; - d02mw.eval( - neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail - ); - ifail = d02mw.getIFAIL(); - - // Specify that the Jacobian is banded. - ifail = 0; - d02np.eval(neq, ML, MU, icom, licom, ifail); - ifail = d02np.getIFAIL(); - - // Use the iuser array to pass the band dimensions through to jac. - // An alternative would be to hard code values for ml and mu in jac. - iuser[0] = ML; - iuser[1] = MU; - iuser[2] = ijac; - - System.out.printf(" t "); - for (int i = 1; i <= neq; i++) { - System.out.printf(" Y(%1d) ", i); - } - System.out.println(); - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - itask = 0; - - // Obtain the solution at 5 equally spaced values of T. - for (int j = 0; j < 5; j++) { - ifail = -1; - d02ne.eval( - neq, t, tout, y, ydot, rtol, atol, itask, res1, jac1, icom, - com, lcom, iuser, ruser, ifail - ); - itask = d02ne.getITASK(); - ifail = d02ne.getIFAIL(); - t = d02ne.getT(); - - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - if (ifail != 0) { - System.out.printf( - " ** D02NEF returned with IFAIL = %5d\n", ifail - ); - break; - } - - tout += 0.02; - d02mc.eval(icom); - - } - - System.out.println(); - System.out.printf( - " The integrator completed task, ITASK = %4d\n", itask - ); - - } - - private static void ex2() { - D02MC d02mc = new D02MC(); - D02MW d02mw = new D02MW(); - D02NE d02ne = new D02NE(); - double h0, hmax, t, tout; - int ifail, ijac, itask, itol, lcom, licom, maxord, neq; - String jceval; // length 8 - double[] atol, com, rtol, y, ydot, ruser; - int[] icom, iuser; - - ruser = new double[1]; - iuser = new int[1]; - - System.out.println(); - System.out.println(" D02NEF Example 2"); - System.out.println(); - - maxord = 5; - neq = NEQ2; - lcom = 40 + (maxord + 4) * neq + neq * neq; - licom = 50 + neq; - - atol = new double[neq]; - com = new double[lcom]; - rtol = new double[neq]; - y = new double[neq]; - ydot = new double[neq]; - icom = new int[licom]; - - ijac = 1; - itol = 1; - rtol[0] = 0.0; - atol[0] = 1.0E-8; - ydot[0] = 0.0; - - // String length = 8 - jceval = (ijac == 1) ? "Analytic" : "Numeric "; - - // Initialize the problem, specifying that the Jacobian is to be - // evaluated analytically using the provided routine jac. - y[0] = 2.0; - hmax = 0.0; - h0 = 0.0; - t = 0.0; - tout = 0.2; - - ifail = 0; - d02mw.eval( - neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail - ); - ifail = d02mw.getIFAIL(); - - // Use the iuser array to pass whether numerical or analytic Jacobian - // is to be used. - iuser[0] = ijac; - - System.out.printf(" t "); - for (int i = 1; i <= neq; i++) { - System.out.printf(" y(%1d) ", i); - } - System.out.println(); - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - itask = 0; - - for (int j = 0; j < 5; j++) { - ifail = -1; - d02ne.eval( - neq, t, tout, y, ydot, rtol, atol, itask, res2, jac2, icom, - com, lcom, iuser, ruser, ifail - ); - itask = d02ne.getITASK(); - ifail = d02ne.getIFAIL(); - t = d02ne.getT(); - - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - if (ifail != 0) { - System.out.printf( - " ** D02NEF returned with IFAIL = %5d\n", ifail - ); - break; - } - - tout += 0.2; - d02mc.eval(icom); - - } - - System.out.println(); - System.out.printf( - " The integrator completed task, ITASK = %4d\n", itask - ); - - } - - /** - * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based - * Java index. - * - *

    Fortran array definition: - * a(dimX, *) - * - *

    Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return ((y-1) * dimX) + (x-1); - } - - public static class RES1 extends D02NE.Abstract_D02NE_RES { - - public void eval() { - - this.R[0] = -(ALPHA * this.Y[0]) + (BETA * this.Y[1] * this.Y[2]) - - this.YDOT[0]; - this.R[1] = (ALPHA * this.Y[0]) - (BETA * this.Y[1] * this.Y[2]) - - (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[1]; - this.R[2] = (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[2]; - - } - - } - - public static class JAC1 extends D02NE.Abstract_D02NE_JAC { - - private double[] myjac1( - int neq, int ml, int mu, double t, double[] y, double[] ydot, - double[] pd, double cj - ) { - - int md, ms, pdDim1; - - pdDim1 = (2 * ml) + mu + 1; - - // Main diagonal pdfull(i,i), i=1, neq - md = mu + ml + 1; - pd[getIdx(md, 1, pdDim1)] = -ALPHA - cj; - pd[getIdx(md, 2, pdDim1)] = (-BETA * y[2]) - (2.0 * GAMMA * y[1]) - - cj; - pd[getIdx(md, 3, pdDim1)] = -cj; - - // 1 subdiagonal pdfull(i-1,i), i=2, neq - ms = md + 1; - pd[getIdx(ms, 1, pdDim1)] = ALPHA; - pd[getIdx(ms, 2, pdDim1)] = 2.0 * GAMMA * y[1]; - - // First superdiagonal pdfull(i-1,i), i=2, neq - ms = md - 1; - pd[getIdx(ms, 2, pdDim1)] = BETA * y[2]; - pd[getIdx(ms, 3, pdDim1)] = -BETA * y[1]; - - // Second superdiagonal pdfull(i-2,i), i=3, neq - ms = md - 2; - pd[getIdx(ms, 3, pdDim1)] = BETA * y[1]; - - return pd; - - } - - public void eval() { - D02NEZ d02nez = new D02NEZ(); - int ijac, ml, mu; - - ml = this.IUSER[0]; - mu = this.IUSER[1]; - ijac = this.IUSER[2]; - - if (ijac == 1) { - myjac1( - this.NEQ, ml, mu, this.T, this.Y, this.YDOT, this.PD, - this.CJ - ); - } - else { - d02nez.eval( - this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, - this.IUSER, this.RUSER - ); - } - - } - - } - - public static class RES2 extends D02NE.Abstract_D02NE_RES { - - public void eval() { - this.R[0] = 4.0 - Math.pow(this.Y[0], 2.0) - + (this.T * 0.1E0 * Math.exp(this.Y[0])); - } - - } - - public static class JAC2 extends D02NE.Abstract_D02NE_JAC { - - private void myjac2( - int neq, double t, double[] y, double[] ydot, double[] pd, - double cj - ) { - - pd[0] = -(2.0 * y[0]) + (0.1E0 * t * y[0] * Math.exp(y[0])); - - } - - public void eval() { - D02NEZ d02nez = new D02NEZ(); - int ijac; - - ijac = this.IUSER[0]; - - if (ijac == 1) { - myjac2(this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ); - } - else { - d02nez.eval( - this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, - this.IUSER, this.RUSER - ); - } - - } - - } - -} diff --git a/simple_examples/int32/D02TLJE.java b/simple_examples/int32/D02TLJE.java deleted file mode 100644 index 601b3ce..0000000 --- a/simple_examples/int32/D02TLJE.java +++ /dev/null @@ -1,290 +0,0 @@ -import com.nag.routines.D02.D02TL; -import com.nag.routines.D02.D02TV; -import com.nag.routines.D02.D02TX; -import com.nag.routines.D02.D02TY; -import com.nag.routines.D02.D02TZ; -import java.util.Arrays; - -/** - * D02TL example program text. - * @author joed - */ -public class D02TLJE { - - public static final int MMAX = 3, NEQ = 3, NLBC = 3, NRBC = 3; - - public static double omega, sqrofr; - public static int[] m = {1, 3, 2}; - - public static FFUN ffun = new FFUN(); - public static FJAC fjac = new FJAC(); - public static GAFUN gafun = new GAFUN(); - public static GAJAC gajac = new GAJAC(); - public static GBFUN gbfun = new GBFUN(); - public static GBJAC gbjac = new GBJAC(); - public static GUESS guess = new GUESS(); - - public static void main(String[] args) { - - D02TL d02tl = new D02TL(); - D02TV d02tv = new D02TV(); - D02TX d02tx = new D02TX(); - D02TY d02ty = new D02TY(); - D02TZ d02tz = new D02TZ(); - double dx, ermx, r; - int iermx, ifail, ijermx, licomm, lrcomm, mxmesh, ncol, ncont, - nmesh; - double[] mesh, rcomm, tol, y, ruser = new double[1]; - int[] icomm, ipmesh, iuser = new int[2]; - - System.out.println(" D02TLJ Example Program Results"); - System.out.println(); - - ncol = 7; - nmesh = 11; - mxmesh = 51; - - mesh = new double[mxmesh]; - tol = new double[NEQ]; - y = new double[NEQ * MMAX]; - ipmesh = new int[mxmesh]; - - omega = 1.0; - Arrays.fill(tol, 1.0E-4); - - dx = 1.0 / ((double) nmesh - 1); - - mesh[0] = 0.0; - for (int i = 1; i < nmesh - 1; i++) { - mesh[i] = mesh[i - 1] + dx; - } - mesh[nmesh - 1] = 1.0; - - ipmesh[0] = 1; - Arrays.fill(ipmesh, 1, nmesh - 1, 2); - ipmesh[nmesh - 1] = 1; - - // Workspace query to get size of rcomm and icomm - ifail = 0; - d02tv.eval( - NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, ruser, - 0, iuser, 2, ifail - ); - ifail = d02tv.getIFAIL(); - lrcomm = iuser[0]; - licomm = iuser[1]; - rcomm = new double[lrcomm]; - icomm = new int[licomm]; - - // Initialise integrator for given problem - ifail = 0; - d02tv.eval( - NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, rcomm, - lrcomm, icomm, licomm, ifail - ); - ifail = d02tv.getIFAIL(); - - ncont = 3; - r = 1.0E6; - - sqrofr = Math.sqrt(r); - - ermx = 0.0; - iermx = 0; - ijermx = 0; - - for (int j = 0; j < ncont; j++) { - System.out.printf("\n Tolerance = %8.1E R = %10.3E\n", tol[0], r); - - // Solve problem - ifail = -1; - d02tl.eval( - ffun, fjac, gafun, gbfun, gajac, gbjac, guess, rcomm, icomm, - iuser, ruser, ifail - ); - ifail = d02tl.getIFAIL(); - if (ifail != 0) { - System.err.println("D02TL failed with error code " + ifail); - } - - // Extract mesh - ifail = -1; - d02tz.eval( - mxmesh, nmesh, mesh, ipmesh, ermx, iermx, ijermx, rcomm, icomm, - ifail - ); - nmesh = d02tz.getNMESH(); - iermx = d02tz.getIERMX(); - ijermx = d02tz.getIJERMX(); - ermx = d02tz.getERMX(); - ifail = d02tz.getIFAIL(); - if (ifail == 1) { - break; - } - - // Print mesh, error stats - System.out.printf( - "\n" - + " Used a mesh of %4d points\n" - + " Maximum error = %10.2E in interval %4d for component %4d\n" - + "\n", - nmesh, ermx, iermx, ijermx - ); - System.out.printf("\n Mesh points:\n"); - for (int i = 0; i < nmesh; i++) { - System.out.printf("%4d(%1d)%10.3E", i+1, ipmesh[i], mesh[i]); - if ((i+1) % 4 == 0) { - System.out.printf("\n"); - } - } - System.out.printf("\n"); - - // Print solution components on mesh - System.out.printf("\n x f f\' g\n"); - for (int i = 0; i < nmesh; i++) { - ifail = 0; - d02ty.eval(mesh[i], y, NEQ, MMAX, rcomm, icomm, ifail); - ifail = d02ty.getIFAIL(); - System.out.printf( - " %8.3f %9.4f%9.4f%9.4f\n", mesh[i], y[getIdx(1, 0, NEQ)], - y[getIdx(2, 0, NEQ)], y[getIdx(3, 0, NEQ)] - ); - } - - if (j == ncont - 1) { - break; - } - - // Modify continuation parameter - r = 100.0 * r; - sqrofr = Math.sqrt(r); - - // Select mesh for continuation - Arrays.fill(ipmesh, 1, nmesh - 1, 2); - - // Call continuation primer routine - ifail = 0; - d02tx.eval(mxmesh, nmesh, mesh, ipmesh, rcomm, icomm, ifail); - mxmesh = d02tx.getMXMESH(); - nmesh = d02tx.getNMESH(); - ifail = d02tx.getIFAIL(); - - } - - } - - /** - * Converts a 2D Fortran index to the 1D index for its corresponding Java - * array. Assumes y is already zero-based. - * - *

    Fortran array definition: - * a(dimX, 0:*) - * - *

    Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return (y * dimX) + (x-1); - } - - /** - * Converts a 3D Fortran index to the 1D index for its corresponding Java - * array. Assumes z is already zero-based. - * - *

    Fortran array definition: - * a(dimX, dimY, 0:*) - * - *

    Conversion: - * a(x, y, z) --> A[result] - */ - private static int getIdx(int x, int y, int z, int dimX, int dimY) { - return (z * dimY * dimX) + ((y-1) * dimX) + (x-1); - } - - public static class FFUN extends D02TL.Abstract_D02TL_FFUN { - - public void eval() { - F[0] = Y[getIdx(2, 0, NEQ)]; - F[1] = -((Y[getIdx(1, 0, NEQ)] * Y[getIdx(2, 2, NEQ)]) - + (Y[getIdx(3, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; - F[2] = ((Y[getIdx(2, 0, NEQ)] * Y[getIdx(3, 0, NEQ)]) - - (Y[getIdx(1, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; - } - - } - - public static class FJAC extends D02TL.Abstract_D02TL_FJAC { - - public void eval() { - DFDY[getIdx(1, 2, 0, NEQ, NEQ)] = 1.0; - DFDY[getIdx(2, 1, 0, NEQ, NEQ)] = -Y[getIdx(2, 2, NEQ)] * sqrofr; - DFDY[getIdx(2, 2, 2, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; - DFDY[getIdx(2, 3, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; - DFDY[getIdx(2, 3, 1, NEQ, NEQ)] = -Y[getIdx(3, 0, NEQ)] * sqrofr; - DFDY[getIdx(3, 1, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; - DFDY[getIdx(3, 2, 0, NEQ, NEQ)] = Y[getIdx(3, 0, NEQ)] * sqrofr; - DFDY[getIdx(3, 3, 0, NEQ, NEQ)] = Y[getIdx(2, 0, NEQ)] * sqrofr; - DFDY[getIdx(3, 3, 1, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; - } - - } - - public static class GAFUN extends D02TL.Abstract_D02TL_GAFUN { - - public void eval() { - GA[0] = YA[getIdx(1, 0, NEQ)]; - GA[1] = YA[getIdx(2, 0, NEQ)]; - GA[2] = YA[getIdx(3, 0, NEQ)] - omega; - } - - } - - public static class GBFUN extends D02TL.Abstract_D02TL_GBFUN { - - public void eval() { - GB[0] = YB[getIdx(1, 0, NEQ)]; - GB[1] = YB[getIdx(2, 0, NEQ)]; - GB[2] = YB[getIdx(3, 0, NEQ)] + omega; - } - - } - - public static class GAJAC extends D02TL.Abstract_D02TL_GAJAC { - - public void eval() { - DGADY[getIdx(1, 1, 0, NLBC, NEQ)] = 1.0; - DGADY[getIdx(2, 2, 0, NLBC, NEQ)] = 1.0; - DGADY[getIdx(3, 3, 0, NLBC, NEQ)] = 1.0; - } - - } - - public static class GBJAC extends D02TL.Abstract_D02TL_GBJAC { - - public void eval() { - DGBDY[getIdx(1, 1, 0, NRBC, NEQ)] = 1.0; - DGBDY[getIdx(2, 2, 0, NRBC, NEQ)] = 1.0; - DGBDY[getIdx(3, 3, 0, NRBC, NEQ)] = 1.0; - } - - } - - public static class GUESS extends D02TL.Abstract_D02TL_GUESS { - - public void eval() { - Y[getIdx(1, 0, NEQ)] = -(X - 0.5) * Math.pow(X * (X - 1.0), 2.0); - Y[getIdx(2, 0, NEQ)] = -X * (X - 1.0) - * (5.0 * X * (X - 1.0) + 1.0); - Y[getIdx(2, 1, NEQ)] = -(2.0 * X - 1.0) - * (10.0 * X * (X - 1.0) + 1.0); - Y[getIdx(2, 2, NEQ)] = -12.0 * (5.0 * X * (X - 1.0) + 1.0); - Y[getIdx(3, 0, NEQ)] = -8.0 * omega * Math.pow(X - 0.5, 3.0); - Y[getIdx(3, 1, NEQ)] = -24.0 * omega * Math.pow(X - 0.5, 2.0); - DYM[0] = Y[getIdx(2, 0, NEQ)]; - DYM[1] = -120.0 * (X - 0.5); - DYM[2] = -56.0 * omega * (X - 0.5); - } - - } - -} diff --git a/simple_examples/int32/D03PCJE.java b/simple_examples/int32/D03PCJE.java deleted file mode 100644 index 4901e2e..0000000 --- a/simple_examples/int32/D03PCJE.java +++ /dev/null @@ -1,217 +0,0 @@ -import com.nag.routines.D03.D03PC; -import com.nag.routines.D03.D03PZ; -import com.nag.routines.X01.X01AA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.lang.StringBuilder; - -/** - * D03PCJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class D03PCJE{ - - /** - * D03PCJE main program - */ - public static void main(String[] args){ - int ifail, ind, intpts = 0, it, itask, itrace = 0, itype = 0, lisave, lrsave, m = 0, neqn, npts = 0, nwk, npde = 2; - double hx, pi, piby2, tout = 0, ts = 0, acc = 0, alpha = 0; - int[] isave, iuser, iwsav; - double[] rsave, u, uout, x, xout, ruser, rwsav; - boolean[] lwsav; - String[] cwsav; - - xout = new double[0]; // placeholders - ruser = new double[1]; - rwsav = new double[1100]; - iuser = new int[1]; - iwsav = new int[505]; - lwsav = new boolean[100]; - cwsav = new String[10]; - - System.out.println("D03PCJ Example Program Results"); - - //Specify path to data file - if(args.length != 1){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - intpts = Integer.parseInt(sVal[0]); - npts = Integer.parseInt(sVal[1]); - itype = Integer.parseInt(sVal[2]); - - xout = new double[intpts]; - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int i = 0; i < intpts; i++){ - xout[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.split("\\s+"); - acc = Double.parseDouble(sVal[0]); - alpha = Double.parseDouble(sVal[1]); - - line = reader.readLine(); - sVal = line.split("\\s+"); - m = Integer.parseInt(sVal[0]); - itrace = Integer.parseInt(sVal[1]); - - line = reader.readLine(); - sVal = line.split("\\s+"); - ts = Double.parseDouble(sVal[0]); - tout = Double.parseDouble(sVal[1]); - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - neqn = npde * npts; - lisave = neqn + 24; - nwk = (10 + (6 * npde)) * neqn; - lrsave = nwk + ((21 + (3 * npde)) * npde) + (7 * npts) + 54; - - rsave = new double[lrsave]; - u = new double[npde * npts]; - uout = new double[npde * intpts * itype]; - x = new double[npts]; - isave = new int[lisave]; - ruser[0] = alpha; - ind = 0; - itask = 1; - - X01AA x01aa = new X01AA(); - pi = x01aa.eval(); - piby2 = 0.5 * pi; - hx = piby2/(double)(npts - 1); - x[0] = 0.0; - x[npts - 1] = 1.0; - for(int i = 1; i < (npts - 1); i++){ - x[i] = Math.sin(hx * (double)(i)); - } - - u = uinit(x, npts, iuser, ruser); - - //Character (80) :: cwsav(10) - //Surely a better way of doing this? - for(int i = 0; i < 10; i++){ - StringBuilder builder = new StringBuilder(""); - for(int j = 0; j < 80; j++){ - builder.append(" "); - } - cwsav[i] = builder.toString(); - } - - for(int i = 0; i <5; i++){ - tout = 10 * tout; - - ifail = 0; - pdedef pdedef1 = new pdedef(); - bndary bndary1 = new bndary(); - D03PC d03pc = new D03PC(npde, m, ts, tout, pdedef1, bndary1, u, npts, x, acc, rsave, lrsave, - isave, lisave, itask, itrace, ind, iuser, ruser, cwsav, lwsav, iwsav, - rwsav, ifail); - d03pc.eval(); - - //update ind - ind = d03pc.getIND(); - - if(i == 0){ - System.out.printf("Accuracy requirement = \t%.5e\n Parameter ALPHA = \t%.3e\n", acc, alpha); - System.out.printf("T / X "); - for(int j = 0; j < xout.length; j++){ - System.out.printf("\t%.4f", xout[j]); - } - System.out.printf("\n"); - } - System.out.println(); - - //Interpolate at required spatial points - ifail = 0; - - D03PZ d03pz = new D03PZ(npde, m, u, npts, x, xout, intpts, itype, uout, ifail); - d03pz.eval(); - - System.out.printf("%.4f \tU(1)", tout); - for(int j = 0; j < intpts; j++){ - System.out.printf("\t%.4f ", uout[j * 2]); - } - System.out.printf("\n"); - System.out.printf("\tU(2)"); - for(int j = 0; j < intpts; j++){ - System.out.printf("\t%.4f ", uout[j * 2 + 1]); - } - System.out.printf("\n"); - System.out.println(); - } - - System.out.printf("Number of Integration steps in time\t\t\t%d\n", isave[0]); - System.out.printf("Number of residual evaluations of resulting ODE system\t%d\n", isave[1]); - System.out.printf("Number of Jacobian evaluations\t\t\t\t%d\n", isave[2]); - System.out.printf("Number of iterations of nonlinear solver\t\t%d\n", isave[4]); - } - - /** - * PDE initial condition - */ - public static double[] uinit(double[] x, int npts, int[] iuser, double[] ruser){ - double alpha = ruser[0]; - double[] u = new double[2 * npts]; - for(int i = 0; i < npts; i++){ - u[2 * i] = 2 * alpha * x[i]; - u[(2 * i) + 1] = 1; - } - return u; - } - - public static class pdedef extends D03PC.Abstract_D03PC_PDEDEF{ - public void eval(){ - double alpha = this.RUSER[0]; - this.Q[0] = 4 * alpha * (this.U[1] + (this.X * this.UX[1])); - this.Q[1] = 0; - this.R[0] = this.X * this.UX[0]; - this.R[1] = this.UX[1] - (this.U[0] * this.U[1]); - this.P[0] = 0; - this.P[1] = 0; - this.P[2] = 0; - this.P[3] = 1 - (this.X * this.X); - } - } - - public static class bndary extends D03PC.Abstract_D03PC_BNDARY{ - public void eval(){ - if(this.IBND == 0){ - this.BETA[0] = 0; - this.BETA[1] = 1; - this.GAMMA[0] = this.U[0]; - this.GAMMA[1] = -this.U[0] * this.U[1]; - } - else{ - this.BETA[0] = 1; - this.BETA[1] = 0; - this.GAMMA[0] = -this.U[0]; - this.GAMMA[1] = this.U[1]; - } - } - } - -} - - - diff --git a/simple_examples/int32/D03RAJE.java b/simple_examples/int32/D03RAJE.java deleted file mode 100644 index 88d49aa..0000000 --- a/simple_examples/int32/D03RAJE.java +++ /dev/null @@ -1,307 +0,0 @@ -import com.nag.routines.D03.D03RA; -import com.nag.routines.D03.D03RA.D03RA_BNDARY; -import com.nag.routines.D03.D03RA.D03RA_MONITR; -import com.nag.routines.X01.X01AA; -import com.nag.routines.X02.X02AJ; -import java.util.Arrays; - -/** - * D03RA example program text. - * @author joed - */ -public class D03RAJE { - - public static final double ALPHA = 50.0; - public static final double BETA = 300.0; - public static final double XMAX = 1.0; - public static final double XMIN = 0.0; - public static final double YMAX = 1.0; - public static final double YMIN = 0.0; - public static final int ITRACE = 0; - public static final int NPDE = 1; - - public static D03RA d03ra = new D03RA(); - public static PDEDEF pdedef = new PDEDEF(); - public static BNDRY bndry = new BNDRY(); - public static PDEIV pdeiv = new PDEIV(); - public static MONIT monit = new MONIT(); - public static MONITDUMMY monitDummy = new MONITDUMMY(); - - public static void main(String[] args) { - double tols, tolt, tout, ts; - int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, npde, npts, nx, ny; - double[] dt, twant, optr, rwk; - int[] wklens, iwk, opti = new int[4]; - boolean[] lwk; - - // Run examples - System.out.println(" D03RAJ Example Program Results"); - System.out.println(); - - npts = 2000; - npde = NPDE; - - dt = new double[] {0.1e-2, 0.0, 0.0}; - twant = new double[] {0.24, 0.25}; - ts = 0.0; - - ind = 10; - nx = 41; - ny = 41; - tols = 0.5; - tolt = 0.01; - Arrays.fill(opti, 0); - opti[0] = 6; - maxlev = Math.max(opti[0], 3); - - wklens = computeWkspaceLens(maxlev, npde, npts); - lenrwk = wklens[0]; - leniwk = wklens[1]; - lenlwk = wklens[2]; - rwk = new double[lenrwk]; - iwk = new int[leniwk]; - lwk = new boolean[lenlwk]; - - optr = new double[3 * npde]; - Arrays.fill(optr, 1.0); - - for (int i = 0; i < 2; i++) { - tout = twant[i]; - ifail = 0; - if (i == 0) { - // Dummy monitor used to avoid output on first call - d03ra.eval( - npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, - tolt, pdedef, bndry, pdeiv, monitDummy, opti, optr, - rwk, lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail - ); - } - else { - d03ra.eval( - npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, - tolt, pdedef, bndry, pdeiv, monit, opti, optr, rwk, - lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail - ); - } - - ind = d03ra.getIND(); - ifail = d03ra.getIFAIL(); - ts = d03ra.getTS(); - - printStatistics(ts, iwk, maxlev); - - } - - } - - public static class PDEIV extends D03RA.Abstract_D03RA_PDEIV { - - public void eval() { - Arrays.fill(this.U, 1.0); - } - - } - - public static class PDEDEF extends D03RA.Abstract_D03RA_PDEDEF { - - private static final double ACTIV_ENERGY = 20.0; - private static final double DIFFUSION = 0.1; - private static final double HEAT_RELEASE = 1.0; - private static final double REACTION_RATE = 5.0; - - public void eval() { - - double damkohler; - - damkohler = REACTION_RATE * Math.exp(ACTIV_ENERGY) - / (HEAT_RELEASE * ACTIV_ENERGY); - - for (int col = 0; col < this.NPDE; col++) { - for (int row = 0; row < this.NPTS; row++) { - int idx = (col * this.NPTS) + row; - this.RES[idx] = this.UT[idx] - - (DIFFUSION * (this.UXX[idx] + this.UYY[idx])) - - (damkohler - * (1.0e0 + HEAT_RELEASE - this.U[idx]) - * Math.exp(-ACTIV_ENERGY / this.U[idx])); - } - } - - } - - } - - public static class BNDRY extends D03RA.Abstract_D03RA_BNDARY { - - public void eval() { - X02AJ x02aj = new X02AJ(); - double tol; - - // X02AJ returns machine precision - tol = 10.0 * x02aj.eval(); - - for (int i = 0; i < this.NBPTS; i++) { - int j = this.LBND[i] - 1; - - if (Math.abs(this.X[j]) <= tol) { - for (int col = 0; col < this.NPDE; col++) { - int idx = (col * this.NPTS) + j; - this.RES[idx] = this.UX[idx]; - } - } - else if (Math.abs(this.X[j] - 1.0) <= tol) { - for (int col = 0; col < this.NPDE; col++) { - int idx = (col * this.NPTS) + j; - this.RES[idx] = this.U[idx] - 1.0; - } - } - else if (Math.abs(this.Y[j]) <= tol) { - for (int col = 0; col < this.NPDE; col++) { - int idx = (col * this.NPTS) + j; - this.RES[idx] = this.UY[idx]; - } - } - else if (Math.abs(this.Y[j] - 1.0) <= tol) { - for (int col = 0; col < this.NPDE; col++) { - int idx = (col * this.NPTS) + j; - this.RES[idx] = this.U[idx] - 1.0; - } - } - } - - } - - } - - public static class MONIT extends D03RA.Abstract_D03RA_MONITR { - - public void eval() { - int ipsol, k, level, npts; - - if (TLAST) { - // Print solution - level = this.NLEV - 1; - npts = this.NGPTS[level]; - ipsol = this.LSOL[level]; - k = 0; - for (int i = 0; i < level; i++) { - k += this.NGPTS[i]; - } - - System.out.printf( - " Solution at every 4th grid point in level%10d" - + " at time %8.4f:%n%n", this.NLEV, this.T - ); - System.out.println( - " x y approx u\n" - ); - for (int i = 0; i < npts; i += 4) { - double ix = this.XPTS[k + i]; - double iy = this.YPTS[k + i]; - double isol = this.SOL[ipsol + i]; - System.out.printf( - " %11.4E %11.3E %11.3E%n", - ix, iy, isol - ); - } - System.out.println(); - - } - - } - - } - - public static class MONITDUMMY extends D03RA.Abstract_D03RA_MONITR { - - public void eval() { - return; - } - - } - - public static int[] computeWkspaceLens(int maxlev, int npde, int maxpts) { - int lenrwk, leniwk, lenlwk; - - lenrwk = (2 * maxpts * npde * ((5 * maxlev) + (18 * npde) + 9)) - + (2 * maxpts); - leniwk = (2 * maxpts * (14 + (5 * maxlev))) - + (7 * maxlev) + 2; - lenlwk = (2 * maxpts) + 400; - - return new int[] {lenrwk, leniwk, lenlwk}; - - } - - public static void printStatistics(double ts, int[] iwk, int maxlev) { - int[] istats = new int[4]; - - System.out.printf(" Statistics:%n"); - System.out.printf(" Time = %8.4f%n", ts); - System.out.printf( - " Total number of accepted timesteps =%5d%n", iwk[0] - ); - System.out.printf( - " Total number of rejected timesteps =%5d%n", iwk[1] - ); - System.out.printf( - "%n" - + " Total number (rounded) of%n" - + " Residual Jacobian Newton Lin sys%n" - + " evals evals iters iters%n" - + " At level %n" - ); - - for (int j = 0; j < maxlev; j++) { - if (iwk[j + 2] != 0) { - int idx = 0; - for (int i = j+2; i <= j+2+(3*maxlev); i += maxlev) { - istats[idx++] = iwk[i]; - } - istats = roundStatisics(istats); - System.out.printf("%8d", j + 1); - for (int i = 0; i < 4; i++) { - System.out.printf("%10d", istats[i]); - } - System.out.printf("%n"); - } - } - - System.out.printf( - "%n" - + " Maximum number of %n" - + " Newton iters Lin sys iters %n" - + " At level %n" - ); - - for (int j = 0; j < maxlev; j++) { - if (iwk[j+2] != 0) { - System.out.printf("%8d", j+1); - System.out.printf("%14d", iwk[j+2+(4*maxlev)]); - System.out.printf("%14d", iwk[j+2+(5*maxlev)]); - System.out.printf("%n"); - } - } - System.out.println(); - - } - - public static int[] roundStatisics(int[] istat) { - double lt; - int k; - - lt = Math.log(10.0); - for (int i = 0; i < istat.length; i++) { - // istat = 0 leads to div by 0 error, doesn't need rounding anyway - if (istat[i] != 0) { - k = (int) (Math.log((double) istat[i]) / lt); - k = (int) Math.pow(10, k); - istat[i] = k * ((istat[i] + k/2)/k); - } - } - - return istat; - - } - -} diff --git a/simple_examples/int32/D03RBJE.java b/simple_examples/int32/D03RBJE.java deleted file mode 100644 index 9b1b482..0000000 --- a/simple_examples/int32/D03RBJE.java +++ /dev/null @@ -1,388 +0,0 @@ -import com.nag.routines.D03.D03RB; -import com.nag.routines.D03.D03RZ; -import java.util.Arrays; - -/** - * D03RB example program text. - * @author joed - */ -public class D03RBJE { - - public static final int ITRACE = -1; - public static final int NPDE = 2; - public static final double[] TWANT = {0.25, 1.0}; - - public static boolean do_monitr; - public static int print_stats = 0; - - public static BNDARY bndary = new BNDARY(); - public static INIDOM inidom = new INIDOM(); - public static MONITR monitr = new MONITR(); - public static PDEDEF pdedef = new PDEDEF(); - public static PDEIV pdeiv = new PDEIV(); - - public static void main(String[] args) { - D03RB d03rb = new D03RB(); - double tols, tolt, tout, ts; - int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, mxlev, npts; - boolean[] lwk; - double[] optr, rwk, dt = new double[3]; - int[] iwk, opti = new int[4]; - - System.out.println(" D03RBJ Example Program Results"); - - npts = 3000; - mxlev = 7; - - leniwk = 10 * npts * (5 * mxlev + 14) + 2 + 7 * mxlev; - lenlwk = 20 * npts; - lenrwk = 20 * (npts * NPDE * (5 * mxlev + 9 + 18 * NPDE) + 2 * npts); - - rwk = new double[lenrwk]; - iwk = new int[leniwk]; - lwk = new boolean[lenlwk]; - optr = new double[3 * NPDE]; - - // Specify that we are starting the integration in time - // (ind = 0 normally). - ind = 10; - - ts = 0.0; - dt[0] = 0.001; - dt[1] = 1.0E-7; - dt[2] = 0.0; - tols = 0.1; - tolt = 0.05; - opti[0] = mxlev; - maxlev = opti[0]; - Arrays.fill(opti, 1, 4, 0); - Arrays.fill(optr, 1.0); - - // Call main routine - for (int iout = 1; iout <= 2; iout++) { - do_monitr = (iout == 2); - tout = TWANT[iout - 1]; - - ifail = 0; - d03rb.eval( - NPDE, ts, tout, dt, tols, tolt, inidom, pdedef, bndary, pdeiv, - monitr, opti, optr, rwk, lenrwk, iwk, leniwk, lwk, lenlwk, - ITRACE, ind, ifail - ); - ind = d03rb.getIND(); - ifail = d03rb.getIFAIL(); - ts = d03rb.getTS(); - - if (print_stats != 0) { - System.out.printf(" Statistics:\n"); - System.out.printf(" Time = %8.4f\n", ts); - System.out.printf( - " Total number of accepted timesteps =%5d\n", iwk[0] - ); - System.out.printf( - " Total number of rejected timesteps =%5d\n", iwk[1] - ); - System.out.println( - " Total number of " - + " maximum number of " - ); - System.out.println( - " Residual Jacobian Newton Newton " - ); - System.out.println( - " evals evals iters iters " - ); - System.out.println(" Level "); - - maxlev = opti[0]; - for (int j = 0; j < maxlev; j++) { - if (iwk[j+2] != 0) { - System.out.printf( - "%4d%10d%10d%10d%10d\n", - j+1, - iwk[j + 2 + 0*maxlev], - iwk[j + 2 + 1*maxlev], - iwk[j + 2 + 2*maxlev], - iwk[j + 2 + 4*maxlev] - ); - } - } - System.out.println(); - - } - - } - - } - - public static class PDEIV extends D03RB.Abstract_D03RB_PDEIV { - - public void eval(int NPTS, int NPDE, double T, double[] X, double[] Y, double[] U) { - this.setNPTS(NPTS); - this.setNPDE(NPDE); - this.setT(T); - this.setX(X); - this.setY(Y); - this.setU(U); - this.eval(); - } - - public void eval() { - double eps = 0.001, a; - - for (int i = 1; i <= this.NPTS; i++) { - a = (4.0 * (this.Y[i-1] - this.X[i-1]) - this.T) / (32.0 * eps); - if (a <= 0.0) { - this.U[getIdx(i, 1, this.NPTS)] - = 0.75 - 0.25 / (1.0 + Math.exp(a)); - this.U[getIdx(i, 2, this.NPTS)] - = 0.75 + 0.25 / (1.0 + Math.exp(a)); - } - else { - a = -a; - this.U[getIdx(i, 1, this.NPTS)] - = 0.75 - 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); - this.U[getIdx(i, 2, this.NPTS)] - = 0.75 + 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); - } - } - - } - - } - - public static class INIDOM extends D03RB.Abstract_D03RB_INIDOM { - - public void eval() { - int ifail, leniwk; - int[] icold, ilbndd, irowd, lbndd, llbndd, lrowd; - int[] iwk = new int[122]; - String[] pgrid = new String[11]; - - for (int i = 0; i < 11; i++) { - pgrid[i] = " "; - } - - icold = new int[]{ - 0,1,2,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5, - 6,7,8,9,10,0,1,2,3,4,5,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4, - 5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,0,1,2,3,4, - 5,6,7,8,0,1,2,3,4,5,6,7,8 - }; - - ilbndd = new int[]{ - 1,2,3,4,1,4,1,2,3,4,3,4,1,2,12,23,34,41,14,41,12,23,34,41,43,14, - 21,32 - }; - - irowd = new int[]{0,1,2,3,4,5,6,7,8,9,10}; - - lbndd = new int[]{ - 2,4,15,26,37,46,57,68,79,88,98,99,100,101,102,103,104,96,86,85, - 84,83,82,70,59,48,39,28,17,6,8,9,10,11,12,13,18,29,40,49,60,72, - 73,74,75,76,77,67,56,45,36,25,33,32,42,52,53,43,1,97,105,87,81, - 3,7,71,78,14,31,51,54,34 - }; - - llbndd = new int[]{ - 1,2,11,18,19,24,31,37,42,48,53,55,56,58,59,60,61,62,63,64,65,66, - 67,68,69,70,71,72 - }; - - lrowd = new int[]{1,4,15,26,37,46,57,68,79,88,97}; - - this.NX = 11; - this.NY = 11; - - // Check MAXPTS against rough estimate of NPTS. - this.NPTS = this.NX * this.NY; - if (this.MAXPTS < this.NPTS) { - this.IERR = -1; - return; - } - - this.XMIN = 0.0; - this.YMIN = 0.0; - this.XMAX = 1.0; - this.YMAX = 1.0; - - this.NROWS = 11; - this.NPTS = 105; - this.NBNDS = 28; - this.NBPTS = 72; - - for (int i = 0; i < this.NROWS; i++) { - this.LROW[i] = lrowd[i]; - this.IROW[i] = irowd[i]; - } - - for (int i = 0; i < this.NBNDS; i++) { - this.LLBND[i] = llbndd[i]; - this.ILBND[i] = ilbndd[i]; - } - - for (int i = 0; i < this.NBPTS; i++) { - this.LBND[i] = lbndd[i]; - } - - for (int i = 0; i < this.NPTS; i++) { - this.ICOL[i] = icold[i]; - } - - } - - } - - public static class PDEDEF extends D03RB.Abstract_D03RB_PDEDEF { - - public void eval() { - - double eps = 1E-3; - int n = this.NPTS; // For concise getIdx calls - - for (int i = 1; i <= n; i++) { - this.RES[getIdx(i, 1, n)] - = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 1, n)] - - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 1, n)] - + eps * (this.UXX[getIdx(i, 1, n)] - + this.UYY[getIdx(i, 1, n)]); - this.RES[getIdx(i, 2, n)] - = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 2, n)] - - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 2, n)] - + eps * (this.UXX[getIdx(i, 2, n)] - + this.UYY[getIdx(i, 2, n)]); - this.RES[getIdx(i, 1, n)] - = this.UT[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; - this.RES[getIdx(i, 2, n)] - = this.UT[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; - } - - } - - } - - public static class BNDARY extends D03RB.Abstract_D03RB_BNDARY { - - public void eval() { - - double a, eps = 1E-3; - int i, n = this.NPTS; - - for (int k = this.LLBND[0]; k <= this.NBPTS; k++) { - i = this.LBND[k - 1]; - a = (-4.0 * this.X[i - 1] + 4.0 * this.Y[i - 1] - this.T) - / (32.0 * eps); - - if (a <= 0.0) { - this.RES[getIdx(i, 1, n)] - = 0.75 - 0.25 / (1.0 + Math.exp(a)); - this.RES[getIdx(i, 2, n)] - = 0.75 + 0.25 / (1.0 + Math.exp(a)); - } - else { - a = -a; - this.RES[getIdx(i, 1, n)] - = 0.75 - (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); - this.RES[getIdx(i, 2, n)] - = 0.75 + (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); - } - - this.RES[getIdx(i, 1, n)] - = this.U[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; - this.RES[getIdx(i, 2, n)] - = this.U[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; - - } - - } - - } - - public static class MONITR extends D03RB.Abstract_D03RB_MONITR { - - public void eval() { - - D03RZ d03rz = new D03RZ(); - double aprxU, exctU, aprxV, exctV; - int maxpts = 6000; - int ifail, ipsol, npts; - double[] uex = new double[105*2], x = new double[maxpts], - y = new double[maxpts]; - - for (int level = 0; level < this.NLEV; level++) { - - if (!this.TLAST) { - break; - } - - ipsol = this.LSOL[level]; - - // Get grid information - ifail = -1; - npts = 0; - d03rz.eval( - level + 1, this.NLEV, this.XMIN, this.YMIN, this.DXB, - this.DYB, this.LGRID, this.ISTRUC, npts, x, y, maxpts, - ifail - ); - ifail = d03rz.getIFAIL(); - npts = d03rz.getNPTS(); - - if (ifail != 0) { - this.IERR = 1; - break; - } - - // Skip printing? - if (!do_monitr || (level != 0)) { - continue; - } - - // Get exact solution - pdeiv.eval(npts, this.NPDE, this.T, x, y, uex); - - System.out.println(); - System.out.printf( - " Solution at every 2nd grid point in level %d at" - + " time %8.4f:\n\n", level + 1, this.T - ); - System.out.print( - " x y approx u exact u approx v" - + " exact v\n\n" - ); - - ipsol = this.LSOL[level]; - - for (int i = 0; i < npts; i += 2) { - aprxU = this.SOL[ipsol + i]; - exctU = uex[getIdx(i+1, 1, npts)]; - aprxV = this.SOL[ipsol + npts + i]; - exctV = uex[getIdx(i+1, 2, npts)]; - System.out.printf( - " %9.2f %9.2f %9.2f %9.2f %9.2f %9.2f\n", - x[i], y[i], aprxU, exctU, aprxV, exctV - ); - } - System.out.println(); - - } - - } - - } - - /** - * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based - * Java index. - * - *

    Fortran array definition: - * a(dimX, *) - * - *

    Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return ((y-1) * dimX) + (x-1); - } - -} diff --git a/simple_examples/int32/D05BAJE.java b/simple_examples/int32/D05BAJE.java deleted file mode 100644 index 7a8caf7..0000000 --- a/simple_examples/int32/D05BAJE.java +++ /dev/null @@ -1,111 +0,0 @@ -import com.nag.routines.D05.D05BA; -import com.nag.routines.X02.X02AJ; - -/** - * D05BAJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class D05BAJE{ - - /** - * D05BAJE main program - */ - public static void main(String[] args){ - double alim, h, hi, si, thresh, tlim, tol; - int ifail, iorder, lwk, nmesh = 6; - String method; - double[] errest, yn, work; - - errest = new double[nmesh]; - yn = new double[nmesh]; - - System.out.println("D05BAJ Example Program Results"); - - method = "A"; - iorder = 6; - alim = 0; - tlim = 20; - h = (tlim - alim) / (double) nmesh; - tol = 0.001; - X02AJ x02aj = new X02AJ(); - thresh = x02aj.eval(); - lwk = 10 * nmesh + 6; - work = new double[lwk]; - - //Loop until the supplied workspace is big enough - //breakflag used to exit loop - boolean breakflag = false; - while(true){ - ifail = 1; - - ck ck1 = new ck(); - cf cf1 = new cf(); - cg cg1 = new cg(); - - D05BA d05ba = new D05BA(ck1, cg1, cf1, method, iorder, alim, tlim, yn, errest, nmesh, - tol, thresh, work, lwk, ifail); - d05ba.eval(); - - //update - ifail = d05ba.getIFAIL(); - lwk = d05ba.getLWK(); - work = d05ba.getWORK(); - - switch(ifail){ - case 5: - lwk = (int) work[0]; - work = new double[lwk]; - break; - case 6: - lwk = (int) work[0]; - work = new double[lwk]; - break; - default: - breakflag = true; - } - - if(breakflag == true){ - break; - } - } - - if(ifail != 0){ - System.out.printf("D05BAJ exited with IFAIL = %d\n", ifail); - } - - System.out.println(); - System.out.printf("Size of workplace = %d\n", lwk); - System.out.printf("Tolerance = %.4e\n", tol); - System.out.println(); - System.out.print("T\tApprox. Sol.\tTrue Sol.\tEst. Error\tActual Error\n"); - for(int i = 0; i < nmesh; i++){ - hi = (double) (i + 1) * h; - si = sol(hi); - System.out.printf("%.2f\t%.5f\t\t%.5f\t\t%.5e\t%.5e\n", (alim + hi), yn[i], si, errest[i], Math.abs((yn[i] - si) / si)); - } - } - - private static double sol(double t){ - return Math.log(t + Math.exp(1)); - } - - public static class ck extends D05BA.Abstract_D05BA_CK{ - public double eval(){ - return Math.exp(-this.T); - } - } - - public static class cf extends D05BA.Abstract_D05BA_CF{ - public double eval(){ - return Math.exp(-this.T); - } - } - - public static class cg extends D05BA.Abstract_D05BA_CG{ - public double eval(){ - return (this.Y + Math.exp(-this.Y)); - } - } -} - diff --git a/simple_examples/int32/D05BEJE.java b/simple_examples/int32/D05BEJE.java deleted file mode 100644 index f98bea3..0000000 --- a/simple_examples/int32/D05BEJE.java +++ /dev/null @@ -1,185 +0,0 @@ -import com.nag.routines.D05.D05BE; -import com.nag.routines.X01.X01AA; -import com.nag.routines.X02.X02AJ; - -/** - * D05BEJ example program text. - * @author willa - */ -public class D05BEJE{ - - private static final int iorder = 4; - private static final int nmesh = (int)(Math.pow(2, 6) + (2 * iorder) - 1); - private static final int nout = 6; - private static final int lct = nmesh / 32 + 1; - private static final int lwk = ((2 * iorder) + 6) * nmesh + (8 * iorder * iorder) - (16 * iorder) + 1; - - public static void main(String[] args){ - double err, errmax, h, hi1, soln = 0, t = 0, tlim, tolnl; - int ifail; - double[] work, yn; - int[] nct; - - work = new double[lwk]; - yn = new double[nmesh]; - nct = new int[lct]; - - System.out.println("D05BEJ Example Program Results"); - - X02AJ x02aj = new X02AJ(); - tlim = 7; - tolnl = Math.sqrt(x02aj.eval()); - h = tlim /(double) (nmesh - 1); - yn[0] = 0; - - ifail = 0; - - D05BE d05be = new D05BE(); - ck1 k1 = new ck1(); - cf1 f1 = new cf1(); - cg1 g1 = new cg1(); - d05be.eval(k1, f1, g1, "Initial", iorder, tlim, tolnl, nmesh, yn, work, lwk, nct, ifail); - - //UPDATE - yn = d05be.getYN(); - - System.out.println(); - System.out.println("Example 1"); - System.out.println(); - System.out.printf("The stepsize h = %.4f\n", h); - System.out.println(); - System.out.println("\tT\tApproximate"); - System.out.println("\t\tSolution"); - System.out.println(); - - errmax = 0; - - for(int i = 1; i < nmesh; i++){ - hi1 = (double) i * h; - err = Math.abs(yn[i] - sol1(hi1)); - - if(err > errmax){ - errmax = err; - t = hi1; - soln = yn[i]; - } - - if((i > 4) && (i % 5 == 0)){ - System.out.printf("\t%.4f\t%.4f\n", hi1, yn[i]); - } - } - - System.out.println(); - System.out.printf("The maximum absolute error, %.2e, occured at T = %.4f with solution %.4f\n", errmax, t, soln); - System.out.println(); - - tlim = 5; - h = tlim /(double) (nmesh - 1); - yn[0] = 1; - - ifail = 0; - - ck2 k2 = new ck2(); - cf2 f2 = new cf2(); - cg2 g2 = new cg2(); - d05be.eval(k2, f2, g2, "Subsequent", iorder, tlim, tolnl, nmesh, yn, work, lwk, nct, ifail); - - //UPDATE - yn = d05be.getYN(); - - System.out.println(); - System.out.println("Example 2"); - System.out.println(); - System.out.printf("The stepsize h = %.4f\n", h); - System.out.println(); - System.out.println("\tT\tApproximate"); - System.out.println("\t\tSolution"); - System.out.println(); - - errmax = 0; - - for(int i = 0; i < nmesh; i++){ - hi1 = (double) i * h; - err = Math.abs(yn[i] - sol2(hi1)); - if(err > errmax){ - errmax = err; - t = hi1; - soln = yn[i]; - } - - if((i > 6) && (i % 7 == 0)){ - System.out.printf("\t%.4f\t%.4f\n", hi1, yn[i]); - } - } - - System.out.println(); - System.out.printf("The maximum absolute error, %.2e, occured at T = %.4f with solution %.4f\n", errmax, t, soln); - } - - private static double sol1(double t){ - double c, pi, t1, x = 0; - - //x is dummy variable - X01AA x01aa = new X01AA(x); - pi = x01aa.eval(); - - t1 = 1 + t; - c = 1 / Math.sqrt(2 * pi); - - return (c * (1 / Math.pow(t, 1.5)) * Math.exp((-t1 * t1) / (2 * t))); - } - - private static double sol2(double t){ - return (1 / (1 + t)); - } - - private static class ck1 extends D05BE.Abstract_D05BE_CK{ - public double eval(){ - return (Math.exp(-0.5 * this.T)); - } - } - - private static class ck2 extends D05BE.Abstract_D05BE_CK{ - double pi, x = 0; - - public double eval(){ - X01AA x01aa = new X01AA(x); - pi = x01aa.eval(); - return Math.sqrt(pi); - } - } - - private static class cf1 extends D05BE.Abstract_D05BE_CF{ - double a, pi, t1, x = 0; - - public double eval(){ - X01AA x01aa = new X01AA(x); - pi = x01aa.eval(); - - t1 = 1 + this.T; - a = 1 / Math.sqrt(pi * this.T); - return (-a * Math.exp((-0.5 * t1 * t1) / this.T)); - } - } - - private static class cf2 extends D05BE.Abstract_D05BE_CF{ - double st1; - - public double eval(){ - st1 = Math.sqrt(1 + this.T); - return ((-2 * Math.log(st1 + Math.sqrt(this.T))) / st1); - } - } - - private static class cg1 extends D05BE.Abstract_D05BE_CG{ - public double eval(){ - return this.Y; - } - } - - private static class cg2 extends D05BE.Abstract_D05BE_CG{ - public double eval(){ - return this.Y; - } - } -} diff --git a/simple_examples/int32/DTFSMJE.java b/simple_examples/int32/DTFSMJE.java deleted file mode 100644 index a88b114..0000000 --- a/simple_examples/int32/DTFSMJE.java +++ /dev/null @@ -1,54 +0,0 @@ -import com.nag.routines.F01.DTRTTF; -import com.nag.routines.F06.DTFSM; -import com.nag.routines.X04.X04CA; - -/** - * DTFSM example program text. Adapted from f06wbfe.f90 - * @author joed - */ -public class DTFSMJE { - - public static void main(String[] args) { - - double alpha = 4.21; - int ifail = 0, info = 0, m = 6, n = 4; - String side = "L", trans = "N", transr = "N", uplo = "L"; - DTFSM dtfsm = new DTFSM(); - DTRTTF dtrttf = new DTRTTF(); - X04CA x04ca = new X04CA(); - - System.out.println(" DTFSMJ Example Program Results\n"); - - // Set lower triangle of matrix A - double[] a = new double[m*m]; - for (int i = 0; i < m; i++) { - for (int j = 0; j < m; j++) { - a[i*m+j] = (j >= i) ? j+1 : 0; - } - } - - // Set matrix B - double[] b = new double[] { - 3.22, 1.64, 1.87, 5.20, 1.83, -1.10, - 1.37, 1.80, 2.87, -2.99, -2.71, -0.63, - 2.31, 0.38, 2.02, -0.91, -2.81, -0.50, - 0.29, -1.52, -0.80, -3.87, -1.13, 0.81 - }; - - // Convert A to rectangular full packed storage in ar - double[] ar = new double[(m*(m+1))/2]; - info = 0; - dtrttf.eval(transr, uplo, m, a, m, ar, info); - info = dtrttf.getINFO(); - - // Perform the matrix-matrix operation - dtfsm.eval(transr, side, uplo, trans, "N", m, n, alpha, ar, b, m); - - // Print result - ifail = 0; - x04ca.eval("General", " ", m, n, b, m, "The Solution", ifail); - ifail = x04ca.getIFAIL(); - - } - -} diff --git a/simple_examples/int32/E01DAJE.java b/simple_examples/int32/E01DAJE.java deleted file mode 100644 index 10c008f..0000000 --- a/simple_examples/int32/E01DAJE.java +++ /dev/null @@ -1,182 +0,0 @@ -import com.nag.routines.E01.E01DA; -import com.nag.routines.E02.E02DF; - -/** - * E01DA example program text. - */ -public class E01DAJE { - - public static void main(String[] args) { - - int mx = 7, my = 6, ifail = -1; - double[] x = new double[mx]; - double[] y = new double[my]; - double[] f = new double[mx*my]; - double[] lamda = new double[mx+4]; - double[] mu = new double[my+4]; - double[] c = new double[mx*my]; - double[] wrk = new double[(mx+6)*(my+6)]; - - int nx = 6, ny = 6, px = 0, py = 0; - double xlo = 1.0, xhi = 2.0; - double ylo = 0.0, yhi = 1.0; - - E01DA e01da = new E01DA(); - - // Input X, Y and function values on X-Y grid - x[0] = 1.00; - x[1] = 1.10; - x[2] = 1.30; - x[3] = 1.50; - x[4] = 1.60; - x[5] = 1.80; - x[6] = 2.00; - - y[0] = 0.00; - y[1] = 0.10; - y[2] = 0.40; - y[3] = 0.70; - y[4] = 0.90; - y[5] = 1.00; - - // On entry: F[my*(q-1)+r-1] must contain f(q,r), for q=1,2,...,mx - // and r=1,2,...,my. - f[0] = 1.00; - f[1] = 1.10; - f[2] = 1.40; - f[3] = 1.70; - f[4] = 1.90; - f[5] = 2.00; - f[6] = 1.21; - f[7] = 1.31; - f[8] = 1.61; - f[9] = 1.91; - f[10] = 2.11; - f[11] = 2.21; - f[12] = 1.69; - f[13] = 1.79; - f[14] = 2.09; - f[15] = 2.39; - f[16] = 2.59; - f[17] = 2.69; - f[18] = 2.25; - f[19] = 2.35; - f[20] = 2.65; - f[21] = 2.95; - f[22] = 3.15; - f[23] = 3.25; - f[24] = 2.56; - f[25] = 2.66; - f[26] = 2.96; - f[27] = 3.26; - f[28] = 3.46; - f[29] = 3.56; - f[30] = 3.24; - f[31] = 3.34; - f[32] = 3.64; - f[33] = 3.94; - f[34] = 4.14; - f[35] = 4.24; - f[36] = 4.00; - f[37] = 4.10; - f[38] = 4.40; - f[39] = 4.70; - f[40] = 4.90; - f[41] = 5.00; - - System.out.printf(" E01DAJ Example Program Results\n\n"); - e01da.eval(mx, my, x, y, f, px, py, lamda, mu, c, wrk, ifail); - - ifail = e01da.getIFAIL(); - switch (ifail) { - case 0: - System.out.printf(" I Knot LAMDA(I) J Knot MU(j)\n"); - for (int i = 3; i <= Math.max(mx,my); ++i) { - if (i <= mx) { - System.out.printf("%4d %9.4f", i+1, lamda[i]); - } - else { - System.out.printf(" "); - } - if (i <= my) { - System.out.printf("%8d %9.4f\n", i+1, mu[i]); - } - else { - System.out.printf("\n"); - } - } - System.out.printf("\n The B-Spline coefficients:\n"); - for (int i = 0; i < mx*my; ++i) { - System.out.printf("%9.4f", c[i]); - if ((i+1)%8 == 0) { - System.out.printf("\n"); - } - } - System.out.printf("\n"); - break; - default: - System.out.printf("\n Error detected by E01DA: %d\n", ifail); - } - - /* Evaluate the spline on a regular rectangular grid at nx*ny points - over the domain [xlo,xhi] x [ylo,yhi]. */ - px = e01da.getPX(); - py = e01da.getPY(); - int liwrk; - int lwrk = Math.min(4*nx+px, 4*ny+py); - if (4*nx+px > 4*ny+py) { - liwrk = ny + py - 4; - } - else { - liwrk = nx + px - 4; - } - double[] tx = new double[nx]; - double[] ty = new double[ny]; - double[] ff = new double[nx*ny]; - wrk = new double[lwrk]; - int[] iwrk = new int[liwrk]; - - /* Generate nx/ny equispaced x/y co-ordinates */ - double step = (xhi-xlo)/(nx-1); - tx[0] = xlo; - for (int i = 1; i < nx-1; i++) { - tx[i] = tx[i-1] + step; - } - tx[nx-1] = xhi; - - step = (yhi-ylo)/(ny-1); - ty[0] = ylo; - for (int i = 1; i < ny-1; i++) { - ty[i] = ty[i-1] + step; - } - ty[ny-1] = yhi; - - /* Evaluate the spline. */ - E02DF e02df = new E02DF(); - ifail = 0; - e02df.eval(nx,ny,px,py,tx,ty,lamda,mu,c,ff,wrk,lwrk,iwrk,liwrk,ifail); - - ifail = e02df.getIFAIL(); - switch (ifail) { - case 0: - System.out.printf("\n Spline evaluated on a regular mesh (X across, Y down):\n"); - System.out.printf(" "); - for (int i = 0; i < nx; ++i) { - System.out.printf(" %5.2f ", tx[i]); - } - System.out.printf("\n"); - for (int i = 0; i < ny; ++i) { - System.out.printf(" %5.2f ", ty[i]); - for (int j = 0; j < nx; ++j) { - System.out.printf(" %8.3f", ff[ny*j+i]); - } - System.out.printf("\n"); - } - break; - default: - System.out.printf("\n Error detected by E02DF: %d\n", ifail); - } - - } - -} diff --git a/simple_examples/int32/E02ALJE.java b/simple_examples/int32/E02ALJE.java deleted file mode 100644 index 372f125..0000000 --- a/simple_examples/int32/E02ALJE.java +++ /dev/null @@ -1,101 +0,0 @@ -import com.nag.routines.E02.E02AL; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * E02ALJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class E02ALJE{ - - /** - * E02ALJ Example main program - */ - public static void main(String[] args){ - double dxx, ref = 0, s, t, xx; - int ifail, n = 0, m = 0, neval = 0; //placeholders - double[] a, x, y; - - a = new double[0]; - x = new double[0]; - y = new double[0]; //placeholders - - System.out.println("E02ALJ Example Program Results"); - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[1]); - m = Integer.parseInt(sVal[2]); - neval = Integer.parseInt(sVal[3]); - - a = new double[m + 1]; - x = new double[n]; - y = new double[n]; - - for(int i = 0; i < n; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - x[i] = Double.parseDouble(sVal[1]); - y[i] = Double.parseDouble(sVal[2]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - System.exit(-2); - } - - ifail = 0; - E02AL e02al = new E02AL(n, x, y, m, a, ref, ifail); - e02al.eval(); - - //update - ref = e02al.getREF(); - x = e02al.getX(); - y = e02al.getY(); - - - System.out.println(); - System.out.printf(" Polynomial coefficients\n"); - for(int i = 0; i <= m; i++){ - System.out.printf("\t%.4e\n", a[i]); - } - System.out.println(); - System.out.printf(" Reference deviation = %.2e\n", ref); - System.out.println(); - System.out.printf("\tX\tFit\texp(x)\tResidual\n"); - - dxx = 1/(double)(neval - 1); - - for(int j = 0; j < neval; j++){ - xx = (double) j * dxx; - - s = a[m]; - - for(int i = m - 1; i >=0; i--){ - s = s * xx + a[i]; - } - - t = Math.exp(xx); - System.out.printf("\t%.2f\t%.4f\t%.4f\t%.2e\n", xx, s, t, (s - t)); - } - } -} - diff --git a/simple_examples/int32/E04ABJE.java b/simple_examples/int32/E04ABJE.java deleted file mode 100644 index 773f1ff..0000000 --- a/simple_examples/int32/E04ABJE.java +++ /dev/null @@ -1,76 +0,0 @@ -import com.nag.routines.E04.E04AB; - -/** - * E04ABJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class E04ABJE{ - - /** - * E04ABJE main program - */ - public static void main(String[] args){ - double a, b, e1, e2, f = 0, x = 0; //placeholders - int ifail, maxcal; - double[] ruser; - int[] iuser; - - ruser = new double[1]; - iuser = new int[1]; - - System.out.println("E04ABJ Example Program Results"); - - //e1 and e2 are set to zero so that E04ABA will reset them to their default values - - e1 = 0; - e2 = 0; - - //The minimum is known to lie in the range (3.5, 5.0) - - a = 3.5; - b = 5.0; - - //Allow 30 calls of FUNCT - - maxcal = 30; - - ifail = -1; - funct funct1 = new funct(); - E04AB e04ab = new E04AB(funct1, e1, e2, a, b, maxcal, x, f, iuser, ruser, ifail); - e04ab.eval(); - - //update - ifail = e04ab.getIFAIL(); - a = e04ab.getA(); - b = e04ab.getB(); - x = e04ab.getX(); - f = e04ab.getF(); - maxcal = e04ab.getMAXCAL(); - - switch(ifail){ - case 0: - System.out.println(); - System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); - System.out.printf("Its estimated position is %.8f,\n", x); - System.out.printf("where the function value is %.4f\n", f); - System.out.printf("%d function evaluations were required\n", maxcal); - break; - case 2: - System.out.println(); - System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); - System.out.printf("Its estimated position is %.8f,\n", x); - System.out.printf("where the function value is %.4f\n", f); - System.out.printf("%d function evaluations were required\n", maxcal); - break; - default: - break; - } - } - - public static class funct extends E04AB.Abstract_E04AB_FUNCT{ - public void eval(){ - FC = Math.sin(this.XC) / this.XC; - } - } -} diff --git a/simple_examples/int32/E04BBJE.java b/simple_examples/int32/E04BBJE.java deleted file mode 100644 index d7032f5..0000000 --- a/simple_examples/int32/E04BBJE.java +++ /dev/null @@ -1,81 +0,0 @@ -import com.nag.routines.E04.E04BB; - -/** - * E04BBJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class E04BBJE{ - - /** - * E04BBJE main program - */ - public static void main(String[] args){ - double a, b, e1, e2, f = 0, g = 0, x = 0; //placeholders - int ifail, maxcal; - double[] ruser; - int[] iuser; - - ruser = new double[1]; - iuser = new int[1]; - - System.out.println("E04BBJ Example Program Results"); - - //e1 and e2 are set to zero so that E04BBA will reset them to their default values - - e1 = 0; - e2 = 0; - - //The minimum is known to lie in the range (3.5, 5.0) - - a = 3.5; - b = 5.0; - - //Allow 30 calls of FUNCT - - maxcal = 30; - - ifail = -1; - funct funct1 = new funct(); - E04BB e04bb = new E04BB(funct1, e1, e2, a, b, maxcal, x, f, g, iuser, ruser, ifail); - e04bb.eval(); - - //update - a = e04bb.getA(); - b = e04bb.getB(); - maxcal = e04bb.getMAXCAL(); - x = e04bb.getX(); - f = e04bb.getF(); - g = e04bb.getG(); - ifail = e04bb.getIFAIL(); - - switch(ifail){ - case 0: - System.out.println(); - System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); - System.out.printf("Its estimated position is %.8f,\n", x); - System.out.printf("where the function value is %.4f\n", f); - System.out.printf("and the gradient is %.1e (machine dependent)\n", g); - System.out.printf("%d function evaluations were required\n", maxcal); - break; - case 2: - System.out.println(); - System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); - System.out.printf("Its estimated position is %.8f,\n", x); - System.out.printf("where the function value is %.4f\n", f); - System.out.printf("and the gradient is %.1e (machine dependent)\n", g); - System.out.printf("%d function evaluations were required\n", maxcal); - break; - default: - break; - } - } - - public static class funct extends E04BB.Abstract_E04BB_FUNCT{ - public void eval(){ - this.FC = Math.sin(this.XC) / this.XC; - this.GC = (Math.cos(this.XC) - this.FC)/this.XC; - } - } -} - diff --git a/simple_examples/int32/E04CBJE.java b/simple_examples/int32/E04CBJE.java deleted file mode 100644 index fbde674..0000000 --- a/simple_examples/int32/E04CBJE.java +++ /dev/null @@ -1,90 +0,0 @@ -import com.nag.routines.E04.E04CB; -import com.nag.routines.E04.E04CBK; -import com.nag.routines.X02.X02AJ; - -/** - * E04CBJ Example Program text - * @author willa - * @since 27.1.0.0 - */ -public class E04CBJE{ - - /** - * E04CBJE main program - */ - public static void main(String[] args){ - int n = 2, ifail, maxcal; - double f = 0, tolf, tolx; //placeholders - boolean monitoring; - int[] iuser; - double[] ruser, x; - - iuser = new int[1]; - ruser = new double[1]; - x = new double[n]; - - System.out.println("E04CBJ Example Program Results"); - - //Set monitoring to true to obtain monitoring information - monitoring = false; - - x[0] = -1.0; - x[1] = 1.0; - X02AJ x02aj = new X02AJ(); - tolf = Math.sqrt(x02aj.eval()); - tolx = Math.sqrt(tolf); - maxcal = 100; - - ifail = 0; - - funct funct1 = new funct(); - if(!monitoring){ - defMonit monit = new defMonit(); - E04CB e04cb = new E04CB(n, x, f, tolf, tolx, funct1, monit, maxcal, iuser, ruser, ifail); - e04cb.eval(); - } - else{ - myMonit monit = new myMonit(); - E04CB e04cb = new E04CB(n, x, f, tolf, tolx, funct1, monit, maxcal, iuser, ruser, ifail); - e04cb.eval(); - } - - System.out.println(); - System.out.printf("The final function value is \t%.4f\n", f); - System.out.printf("at the point\t"); - for(int i = 0; i < n; i++){ - System.out.printf("%.4f\t", x[i]); - } - System.out.printf("\n"); - } - - public static class funct extends E04CB.Abstract_E04CB_FUNCT{ - public void eval(){ - this.FC = Math.exp(this.XC[0]) * ((4 * this.XC[0] * (this.XC[0] + this.XC[1])) + (2 * this.XC[1] * (this.XC[1] + 1) + 1)); - } - } - - public static class myMonit extends E04CB.Abstract_E04CB_MONIT{ - public void eval(){ - System.out.println(); - System.out.printf("There have been %d function calls\n", this.NCALL); - System.out.printf("The smallest function value is %.4f\n", this.FMIN); - System.out.printf("The simplex is\n"); - for(int i = 0; i <= this.N; i++){ - for(int j = 0; j < this.N; j++){ - System.out.printf("%.4f\t", this.SIM[(j * (this.N + 1)) + i]); - } - System.out.printf("\n"); - } - System.out.printf("The standard deviation in function values of the vertices of the simplex is %.4f\n", this.SERROR); - System.out.printf("The linearized volume ratio of the current simplex to the starting one is %.4f\n", this.VRATIO); - } - } - - //This is how to use NAG supplied function as argument - public static class defMonit extends E04CBK implements E04CB.E04CB_MONIT{ - public void eval(){ - super.eval(); - } - } -} diff --git a/simple_examples/int32/E04FCJE.java b/simple_examples/int32/E04FCJE.java deleted file mode 100644 index 939f68d..0000000 --- a/simple_examples/int32/E04FCJE.java +++ /dev/null @@ -1,420 +0,0 @@ -import com.nag.routines.E04.E04FC; -import com.nag.routines.F06.DDOT; -import com.nag.routines.F06.DGEMV; -import com.nag.routines.X02.X02AJ; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.IOException; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * E04FC example program text. - * @author ludovic - */ -public class E04FCJE { - - public static void main(String[] args) { - - BufferedReader dataIn = null; - - try { - E04FC e04fc = new E04FC(); - System.out.println(" E04FCJ Example Program Results"); - dataIn = new BufferedReader(new FileReader(args[0])); - //skip header - dataIn.readLine(); - - int inc1 = 1, liw = 1, m, ldfjac = m = 15, n, ldv = n = 3, nt = 3, - lw = 6 * n + m * n + 2 * m + n * (n - 1) / 2; - String trans = "T"; - - double eta, fsumsq, stepmx, xtol; - eta = fsumsq = stepmx = xtol = Double.NaN; - int ifail, iprint, maxcal, nf, niter; - ifail = iprint = maxcal = nf = niter = 0; - double[] fjac = new double[m * n], - fvec = new double[m], - g = new double[n], - s = new double[n], - v = new double[ldv * n], - w = new double[lw], - x = new double[n], - y = new double[m], - t = new double[m * nt]; - - - int[] iw = new int[liw]; - - for (int i = 0; i < m; ++i) { - String[] line = dataIn.readLine().trim().split("\\s+"); - if (line.length != nt + 1) { - System.err.println("Error in data file - only " + line.length - + " records at line " + (i + 2) + " while expecting " + (nt + 1) - + " elements"); - System.exit(1); - } - y[i] = Double.parseDouble(line[0].replaceAll("D", "E")); // java doesn't know the D format - for (int j = 1; j <= nt; ++j) { - t[i + (j - 1) * m] = Double.parseDouble(line[j].replaceAll("D", "E")); - } - } - - // Set IPRINT to 1 to obtain output from LSQMON at each iteration - iprint = -1; - - maxcal = 400 * n; - eta = 0.5; - xtol = 10.0 * Math.sqrt((new X02AJ()).eval()); - - // We estimate that the minimum will be within 10 units of the starting point - stepmx = 10.0; - - // Set up the starting point - x[0] = 0.5; - x[1] = 1.0; - x[2] = 1.5; - - ifail = -1; - - LSQFUN lsqfun = new LSQFUN(); - lsqfun.t = t; - lsqfun.y = y; - LSQMON lsqmon = new LSQMON(); - - e04fc.eval(m, n, lsqfun, lsqmon, iprint, maxcal, eta, xtol, stepmx, x, fsumsq, - fvec, fjac, ldfjac, s, v, ldv, niter, nf, iw, liw, w, lw, ifail); - - ifail = e04fc.getIFAIL(); - - - switch (ifail) { - case (1): - System.err.println("Unexpected ifail = " + ifail); - break; - default: - System.out.println(); - System.out.printf(" On exit, the sum of squares is %12.4f\n", e04fc.getFSUMSQ()); - System.out.printf(" at the point %12.4f %12.4f %12.4f\n", x[0], x[1], x[2]); - lsqgrd(m, n, fvec, fjac, ldfjac, g); - System.out.print(" The estimated gradient is "); - for (int i = 0; i < n; ++i) { - System.out.printf(" %12.3e\t", g[i]); - } - System.out.println(); - System.out.println(" (machine dependent)"); - System.out.println(" and the residuals are"); - for (int i = 0; i < m; ++i) { - System.out.printf(" %9.1e\n", fvec[i]); - } - } - - - - } - catch (Exception ex) { - Logger.getLogger(E04FCJE.class.getName()).log(Level.SEVERE, null, ex); - } - finally { - try { - dataIn.close(); - } - catch (IOException ex) { - Logger.getLogger(E04FCJE.class.getName()).log(Level.SEVERE, null, ex); - } - } - - - } - - public static void lsqgrd(int m, int n, double[] fvec, double[] fjac, int ldfjac, double[] g) { - DGEMV dgemv = new DGEMV("T", m, n, 1.0, fjac, ldfjac, fvec, 1, 0.0, g, 1); - dgemv.eval(); - for (int i = 0; i < g.length; ++i) { - g[i] = 2.0 * g[i]; - } - } - - public static class LSQFUN implements E04FC.E04FC_LSQFUN { - - public double[] t, y; - int IFLAG, M, N, LW, LIW; - double[] XC, FVEC, W; - int[] IW; - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void setM(int M) { - this.M = M; - } - - @Override - public int getM() { - return M; - } - - @Override - public void setN(int N) { - this.N = N; - } - - @Override - public int getN() { - return N; - } - - @Override - public void setXC(double[] XC) { - this.XC = XC; - } - - @Override - public double[] getXC() { - return XC; - } - - @Override - public void setFVEC(double[] FVEC) { - this.FVEC = FVEC; - } - - @Override - public double[] getFVEC() { - return FVEC; - } - - @Override - public void setIW(int[] IW) { - this.IW = IW; - } - - @Override - public int[] getIW() { - return IW; - } - - @Override - public void setLIW(int LIW) { - this.LIW = LIW; - } - - @Override - public int getLIW() { - return LIW; - } - - @Override - public void setW(double[] W) { - this.W = W; - } - - @Override - public double[] getW() { - return W; - } - - @Override - public void setLW(int LW) { - this.LW = LW; - } - - @Override - public int getLW() { - return LW; - } - - @Override - public void eval(int IFLAG, int M, int N, double[] XC, double[] FVEC, - int[] IW, int LIW, double[] W, int LW) { - for (int i = 0; i < M; ++i) { - FVEC[i] = XC[0] + t[i] / (XC[1] * t[i + M] + XC[2] * t[i + 2 * M]) - y[i]; - } - } - - } - - public static class LSQMON implements E04FC.E04FC_LSQMON { - - int M, N, LDFJAC, NITER, NF, IGRADE, LIW, LW; - int[] IW; - double[] XC, FVEC, FJAC, S, W; - - @Override - public void setM(int M) { - this.M = M; - } - - @Override - public int getM() { - return M; - } - - @Override - public void setN(int N) { - this.N = N; - } - - @Override - public int getN() { - return N; - } - - @Override - public void setXC(double[] XC) { - this.XC = XC; - } - - @Override - public double[] getXC() { - return XC; - } - - @Override - public void setFVEC(double[] FVEC) { - this.FVEC = FVEC; - } - - @Override - public double[] getFVEC() { - return FVEC; - } - - @Override - public void setFJAC(double[] FJAC) { - this.FJAC = FJAC; - } - - @Override - public double[] getFJAC() { - return FJAC; - } - - @Override - public void setLDFJAC(int LDFJAC) { - this.LDFJAC = LDFJAC; - } - - @Override - public int getLDFJAC() { - return LDFJAC; - } - - @Override - public void setS(double[] S) { - this.S = S; - } - - @Override - public double[] getS() { - return S; - } - - @Override - public void setIGRADE(int IGRADE) { - this.IGRADE = IGRADE; - } - - @Override - public int getIGRADE() { - return IGRADE; - } - - @Override - public void setNITER(int NITER) { - this.NITER = NITER; - } - - @Override - public int getNITER() { - return NITER; - } - - @Override - public void setNF(int NF) { - this.NF = NF; - } - - @Override - public int getNF() { - return NF; - } - - @Override - public void setIW(int[] IW) { - this.IW = IW; - } - - @Override - public int[] getIW() { - return IW; - } - - @Override - public void setLIW(int LIW) { - this.LIW = LIW; - } - - @Override - public int getLIW() { - return LIW; - } - - @Override - public void setW(double[] W) { - this.W = W; - } - - @Override - public double[] getW() { - return W; - } - - @Override - public void setLW(int LW) { - this.LW = LW; - } - - @Override - public int getLW() { - return LW; - } - - @Override - public void eval(int M, int N, double[] XC, double[] FVEC, double[] FJAC, - int LDFJAC, double[] S, int IGRADE, int NITER, int NF, int[] IW, - int LIW, double[] W, int LW) { - - int ndec = 3; - double fsumsq, gtg; - double[] g = new double[ndec]; - DDOT ddot = new DDOT(M, FVEC, 1, FVEC, 1); - fsumsq = ddot.eval(); - - lsqgrd(M, N, FVEC, FJAC, LDFJAC, g); - - gtg = ddot.eval(N, g, 1, g, 1); - // 99998 Format (1X,1P,E13.5,10X,1P,E9.1,10X,1P,E9.1) - System.out.println(); - System.out.println(" Itn F evals SUMSQ GTG Grade"); - System.out.printf(" %4d %5d %13.5e %9.1e %3d\n", - NITER, NF, fsumsq, gtg, IGRADE); - System.out.println(); - System.out.println(" X G Singular values"); - for (int j = 0; j < N; ++j) { - System.out.printf(" %13.5e %9.1e %9.1e\n",XC[j], g[j], S[j]); - } - - } - - } - -} diff --git a/simple_examples/int32/E04FFJE.java b/simple_examples/int32/E04FFJE.java deleted file mode 100644 index ad81e32..0000000 --- a/simple_examples/int32/E04FFJE.java +++ /dev/null @@ -1,140 +0,0 @@ -import com.nag.routines.E04.E04FF; -import com.nag.routines.E04.E04FFU; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RH; -import com.nag.routines.E04.E04RM; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04ZM; -import java.util.Arrays; - -/** - * E04FF example program text. - * @author joed - */ -public class E04FFJE { - - public static void main(String[] args) { - double infbnd = 1.0e20; - double[] lx, rx, ux, x, ruser, pdy, pdz; - double[] rinfo = new double[100], stats = new double[100]; - int ifail, isparse, nnzrd, nres, nvar, pdny, pdnz; - int[] iuser; - int[] icolrd = new int[1], irowrd = new int[1]; - long cpuser, handle; // c_ptr - MONIT monit = new MONIT(); - OBJFUN objfun = new OBJFUN(); - - /* Header */ - System.out.printf(" E04FFJ Example Program Results\n\n"); - - /* Fill problem data structure */ - pdny = 11; - pdnz = 11; - pdy = new double[] { - 4.0e0, 2.0e0, 1.0e0, 5.0e-1, 2.5e-1, 1.67e-1, 1.25e-1, 1.0e-1, - 8.33e-2, 7.14e-2, 6.25e-2 - }; - pdz = new double[] { - 1.957e-1, 1.947e-1, 1.735e-1, 1.6e-1, 8.44e-2, 6.27e-2, 4.56e-2, - 3.42e-2, 3.23e-2, 2.35e-2, 2.46e-2 - }; - nvar = 4; - nres = 11; - - /* Initialize handle */ - E04RA e04ra = new E04RA(); - handle = 0; - ifail = 0; // hard fail - e04ra.eval(handle, nvar, ifail); - handle = e04ra.getHANDLE(); - - /* Define residuals structure */ - E04RM e04rm = new E04RM(); - isparse = 0; // Dense => irowrd and icolrd are not accessed - nnzrd = 1; - ifail = 0; - e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); - - /* Set options */ - E04ZM e04zm = new E04ZM(); - ifail = 0; - e04zm.eval(handle, "DFLS Trust Region Tolerance = 5.0e-6", ifail); - ifail = 0; - e04zm.eval(handle, "Print Solution = YES", ifail); - - /* Define starting point */ - x = new double[] {0.25, 0.39, 0.415, 0.39}; - rx = new double[nres]; - - /* Define bounds for the second and the fourth variable */ - E04RH e04rh = new E04RH(); - lx = new double[] {-infbnd, 0.2, -infbnd, 0.3}; - ux = new double[] {infbnd, 1.0, infbnd, infbnd}; - ifail = 0; - e04rh.eval(handle, nvar, lx, ux, ifail); - - /* Call the solver */ - E04FF e04ff = new E04FF(); - ifail = -1; - iuser = new int[] {pdny, pdnz}; - ruser = new double[2 * nres]; - cpuser = 0L; - for (int i = 0; i < nres; i++) { - ruser[i] = pdy[i]; - ruser[nres + i] = pdz[i]; - } - e04ff.eval(handle, objfun, monit, nvar, x, nres, rx, rinfo, stats, - iuser, ruser, cpuser, ifail); - - /* Free handle memory */ - E04RZ e04rz = new E04RZ(); - ifail = 0; - e04rz.eval(handle, ifail); - - } - - public static class OBJFUN extends E04FF.Abstract_E04FF_OBJFUN { - - public void eval() { - int pdny, pdnz; - double r1, r2; - double[] pdy, pdz; - - /* Interrupt solver if the dimensions are incorrect */ - if (this.NRES != 11 || this.NVAR != 4) { - this.INFORM = -1; - return; - } - - /* Extract the problem data structure from the workspaces */ - pdny = this.IUSER[0]; - pdnz = this.IUSER[1]; - if (pdny != this.NRES || pdnz != this.NRES) { - this.INFORM = -1; - return; - } - pdy = Arrays.copyOfRange(this.RUSER, 0, pdny); - pdz = Arrays.copyOfRange(this.RUSER, pdny, pdny + pdnz); - - for (int i = 0; i < this.NRES; i++) { - r1 = pdy[i] * (pdy[i] + this.X[1]); - r2 = pdy[i] * (pdy[i] + this.X[2]) + this.X[3]; - this.RX[i] = pdz[i] - (this.X[0] * r1/r2); - } - - } - - } - - public static class MONIT extends E04FF.Abstract_E04FF_MONIT { - - public void eval() { - E04FFU e04ffu = new E04FFU(); - e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, - this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ffu.getINFORM(); - } - - } - -} diff --git a/simple_examples/int32/E04GBJE.java b/simple_examples/int32/E04GBJE.java deleted file mode 100644 index 7becf21..0000000 --- a/simple_examples/int32/E04GBJE.java +++ /dev/null @@ -1,183 +0,0 @@ -import com.nag.routines.A00.A00AA; -import com.nag.routines.E04.E04GB; -import com.nag.routines.E04.E04HEV; -import com.nag.routines.E04.E04YA; -import com.nag.routines.F06.DDOT; -import com.nag.routines.F06.F06PA; -import com.nag.routines.X02.X02AJ; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * E04GB example program text. - */ -public class E04GBJE { - - public static final int inc1 = 1, liw = 1, m = 15, n = 3, nt = 3; - public static final int ldfjac = m, ldv = n, lw = 7*n + m*n + 2*m + n*n; - public static final String trans = "T"; - public static double[] y; - public static double[] t; - - public static void main(String[] args) { - - double eta, fsumq = 0.0, stepmx, xtol; - int ifail, iprint, maxcal, nf = 0, niter = 0; - double[] fjac = new double[ldfjac * n]; - double[] fvec = new double[m]; - double[] g = new double[n]; - double[] s = new double[n]; - double[] v = new double[ldv * n]; - double[] w = new double[lw * n]; - double[] x = new double[n]; - int[] iw = new int[liw]; - - System.out.println(" E04GBJ Example Program Results"); - - // Data - y = new double[] { - 0.14, 0.18, 0.22, 0.25, 0.29, 0.32, 0.35, 0.39, 0.37, 0.58, 0.73, - 0.96, 1.34, 2.10, 4.39 - }; - - t = new double[m * nt]; - for (int i = 0; i < m; i++) { - t[i] = i + 1.0; - t[m + i] = 15.0 - i; - t[2*m + i] = -Math.abs(i - 7.0) + 8.0; - } - - // Check LSQFUN by calling E04YA at an arbitrary point - E04YA e04ya = new E04YA(); - LSQFUN lsqfun = new LSQFUN(); - x[0] = 0.19; - x[1] = -.34; - x[2] = 0.88; - ifail = 0; - e04ya.eval(m, n, lsqfun, x, fvec, fjac, ldfjac, iw, liw, w, lw, ifail); - - // Continue setting parameters for E04GB - E04GB e04gb = new E04GB(); - LSQMON lsqmon = new LSQMON(); - LSQLIN lsqlin = new LSQLIN(); - iprint = -1; // Set to 1 to obtain output from LSQMON at each iteration - maxcal = 50 * n; - eta = 0.09; // Since E04HEV is being used as LSQLIN - xtol = 10.0 * Math.sqrt((new X02AJ()).eval()); - stepmx = 10.0; - - // Set up the starting point - x[0] = 0.5; - x[1] = 1.0; - x[2] = 1.5; - - ifail = -1; - e04gb.eval(m, n, lsqlin, lsqfun, lsqmon, iprint, maxcal, eta, xtol, - stepmx, x, fsumq, fvec, fjac, ldfjac, s, v, ldv, niter, nf, iw, - liw, w, lw, ifail); - fsumq = e04gb.getFSUMSQ(); - x = e04gb.getX(); - ifail = e04gb.getIFAIL(); - - if (ifail == 0 || ifail >= 2) { - System.out.println(); - System.out.printf(" On exit, the sum of squares is %12.4f\n", fsumq); - System.out.printf(" at the point "); - for (int ii = 0; ii < n; ++ii) { - System.out.printf("%12.4f", x[ii]); - } - System.out.println(); - - lsqmon.lsqgrd(m, n, fvec, fjac, ldfjac, g); - - System.out.print(" The corresponding gradient is"); - for (int ii = 0; ii < n; ++ii) { - System.out.printf("%12.3E", g[ii]); - } - System.out.println(); - System.out.println(" (machine dependent)"); - System.out.println(" and the residuals are"); - for (int ii = 0; ii < m; ++ii) { - System.out.printf(" %9.1E\n", fvec[ii]); - } - System.out.println(); - } - - } - - /** Routine to evaluate the residuals and their 1st derivatives. */ - public static class LSQFUN extends E04GB.Abstract_E04GB_LSQFUN implements E04YA.E04YA_LSQFUN { - - public void eval() { - double denom, dummy; - - for (int i = 0; i < m; i++) { - denom = this.XC[1] * t[i + this.M] + this.XC[2] * t[i + 2*this.M]; - this.FVEC[i] = this.XC[0] + t[i] / denom - y[i]; - - if (this.IFLAG != 0) { - this.FJAC[i] = 1.0; - dummy = -1.0 / (denom * denom); - this.FJAC[i + ldfjac] = t[i] * t[i + this.M] * dummy; - this.FJAC[i + 2*ldfjac] = t[i] * t[i + 2*this.M] * dummy; - } - } - - } - - } - - public static class LSQMON extends E04GB.Abstract_E04GB_LSQMON { - - public static final int ndec = 3; - - /** Monitoring routine. */ - public void eval() { - double fsumsq, gtg; - double[] g = new double[ndec]; - DDOT ddot = new DDOT(); - - fsumsq = ddot.eval(this.M, this.FVEC, inc1, this.FVEC, inc1); - this.lsqgrd(this.M, this.N, this.FVEC, this.FJAC, this.LDFJAC, g); - gtg = ddot.eval(this.N, g, inc1, g, inc1); - - System.out.println(); - System.out.println(" Itn F evals SUMSQ GTG Grade"); - System.out.printf(" %4d %5d %13.5E %9.1E %3d\n", - this.NITER, this.NF, fsumsq, gtg, this.IGRADE); - System.out.println(); - System.out.println(" X G Singular values"); - for (int j = 0; j < n; j++) { - System.out.printf(" %13.5E %9.1E %9.1E\n", - this.XC[j], g[j], this.S[j]); - } - - } - - /** Routine to evaluate gradient of the sum of squares. */ - public void lsqgrd(int m, int n, double[] fvec, double[] fjac, int ldfjac, double[] g) { - F06PA f06pa = new F06PA(trans, m, n, 1.0, fjac, ldfjac, fvec, inc1, 0.0, g, inc1); - f06pa.eval(); - - for (int i = 0; i < n; ++i) { - g[i] = 2.0 * g[i]; - } - - } - - } - - /** Using E04HEV as LSQLIN. */ - private static class LSQLIN extends E04HEV implements E04GB.E04GB_LSQLIN { - - public void eval() { - super.eval(); - } - - } - -} diff --git a/simple_examples/int32/E04GGJE.java b/simple_examples/int32/E04GGJE.java deleted file mode 100644 index 8a18c6a..0000000 --- a/simple_examples/int32/E04GGJE.java +++ /dev/null @@ -1,219 +0,0 @@ -import com.nag.routines.E04.E04FFU; -import com.nag.routines.E04.E04GG; -import com.nag.routines.E04.E04GGV; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RH; -import com.nag.routines.E04.E04RM; -import com.nag.routines.E04.E04RX; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04ZM; - -/** - * E04GG example program text. - */ -public class E04GGJE { - - public static void main(String[] args) { - - final double infbnd = 1.0e20; - - long cpuser = 0, handle = 0; - int ifail, isparse, nnzrd, nres, nvar; - - double[] blx, bux, ruser, rx, x, z; - double[] rinfo = new double[100], stats = new double[100]; - int[] icolrd = new int[1], irowrd = new int[1], iuser = new int[1]; - - /* Header */ - System.out.println(" E04GGJ Example Program Results\n"); - - nvar = 6; - nres = 24; - // ruser = new double[2*nres]; - // Data from Lanczos 3 Problem - ruser = new double[] { - // t(:) = - 0.0e0, 5.0e-2, 1.0e-1, 1.5e-1, 2.0e-1, 2.5e-1, 3.0e-1, 3.5e-1, - 4.0e-1, 4.5e-1, 5.0e-1, 5.5e-1, 6.0e-1, 6.5e-1, 7.0e-1, 7.5e-1, - 8.0e-1, 8.5e-1, 9.0e-1, 9.5e-1, 1.0e0, 1.05e0, 1.10e0, 1.15e0, - // y(:) = - 2.5134, 2.0443, 1.6684, 1.3664, 1.1232, 0.9269, 0.7679, 0.6389, - 0.5338, 0.4479, 0.3776, 0.3197, 0.2720, 0.2325, 0.1997, 0.1723, - 0.1493, 0.1301, 0.1138, 0.1000, 0.0883, 0.0783, 0.0698, 0.0624 - }; - - iuser[0] = 0; - - // Initialize handle - ifail = 0; - E04RA e04ra = new E04RA(); - e04ra.eval(handle, nvar, ifail); - handle = e04ra.getHANDLE(); - - // Define residuals structure, isparse=0 means the residual structure is - // dense => irowrd and icolrd are not accessed - isparse = 0; - nnzrd = 0; - E04RM e04rm = new E04RM(); - e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); - - // Set options - E04ZM e04zm = new E04ZM(); - e04zm.eval(handle, "BXNL Use Second Derivatives = Yes",ifail); - e04zm.eval(handle, "BXNL Model = Gauss-Newton",ifail); - e04zm.eval(handle, "BXNL Glob Method = Reg",ifail); - // Change printed output verbosity - e04zm.eval(handle, "Print Level = 1",ifail); - - // Define starting point - rx = new double[nres]; - z = new double[nvar]; - // x = new double[nvar]; - x = new double[] { - 1.2, 0.3, 5.6, 5.5, 6.5, 7.6 - }; - - // Define bounds - blx = new double[nvar]; - bux = new double[nvar]; - blx[0] = 0.0; - bux[0] = 1.0; - blx[1] = -1.0; - bux[1] = infbnd; - blx[2] = -1.0; - bux[2] = infbnd; - blx[3] = -1.0; - bux[3] = infbnd; - blx[4] = -1.0; - bux[4] = 1.0; - blx[5] = -1.0; - bux[5] = 10.0; - E04RH e04rh = new E04RH(); - e04rh.eval(handle, nvar, blx, bux, ifail); - - // Call the solver - ifail = -1; - E04GG e04gg = new E04GG(); - LSQFUN lsqfun = new LSQFUN(); - LSQGRD lsqgrd = new LSQGRD(); - LSQHES lsqhes = new LSQHES(); - LSQHPRD lsqhprd = new LSQHPRD(); - MONIT monit = new MONIT(); - - e04gg.eval(handle,lsqfun,lsqgrd,lsqhes,lsqhprd,monit,nvar,x,nres,rx,rinfo,stats,iuser,ruser,cpuser,ifail); - ifail = e04gg.getIFAIL(); - - // Recover latest iterate from handle if available - if (ifail == 0) { - ifail = -1; - E04RX e04rx = new E04RX(); - e04rx.eval(handle,"X",1,nvar,z,ifail); - ifail = e04rx.getIFAIL(); - if (ifail == 0) { - System.out.println("\nSolver stored solution iterate in the handle"); - System.out.print("X: "); - for (int i = 0; i < nvar; i++){ - System.out.printf("%8.2E ", z[i]); - } - System.out.println(); - } - } - - // Free the handle memory - ifail = 0; - E04RZ e04rz = new E04RZ(); - e04rz.eval(handle, ifail); - - } - - public static class LSQFUN extends E04GG.Abstract_E04GG_LSQFUN { - - public void eval() { - for (int i = 0; i < this.NRES; i++){ - this.RX[i] = 0.0; - } - - for (int i = 0; i < this.NRES; i++){ - this.RX[i] = this.RUSER[this.NRES + i] - this.X[0] * Math.exp(-this.X[1] * this.RUSER[i]) - - this.X[2] * Math.exp(-this.X[3] * this.RUSER[i]) - this.X[4] * Math.exp(-this.X[5] * this.RUSER[i]); - } - - this.INFORM = 0; - } - } - - public static class LSQGRD extends E04GG.Abstract_E04GG_LSQGRD { - - public void eval() { - int i; - - for (i = 0; i < this.RDX.length; i++) { - this.RDX[i] = 0; - } - - for (i = 0; i < this.NRES; i++) { - this.RDX[i * this.NVAR + 0] = -Math.exp(-this.X[1] * this.RUSER[i]); - this.RDX[i * this.NVAR + 1] = this.RUSER[i] * this.X[0] * Math.exp(-this.X[1] * this.RUSER[i]); - this.RDX[i * this.NVAR + 2] = -Math.exp(-this.X[3] * this.RUSER[i]); - this.RDX[i * this.NVAR + 3] = this.RUSER[i] * this.X[2] * Math.exp(-this.X[3] * this.RUSER[i]); - this.RDX[i * this.NVAR + 4] = -Math.exp(-this.X[5] * this.RUSER[i]); - this.RDX[i * this.NVAR + 5] = this.RUSER[i] * this.X[4] * Math.exp(-this.X[5] * this.RUSER[i]); - } - - this.INFORM = 0; - } - } - - public static class LSQHES extends E04GG.Abstract_E04GG_LSQHES { - - public void eval() { - for (int i = 0; i < this.NVAR * this.NVAR; i++) { - this.HX[i] = 0.0; - } - - double sum21 = 0.0, sum22 = 0.0, sum43 = 0.0, sum44 = 0.0, sum65 = 0.0, sum66 = 0.0; - - for (int i = 0; i < this.NRES; i++){ - sum21 = sum21 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[1] * this.RUSER[i])); - sum22 = sum22 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[0] * Math.exp(-this.X[1] * this.RUSER[i])); - sum43 = sum43 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[3] * this.RUSER[i])); - sum44 = sum44 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[2] * Math.exp(-this.X[3] * this.RUSER[i])); - sum65 = sum65 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[5] * this.RUSER[i])); - sum66 = sum66 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[4] * Math.exp(-this.X[5] * this.RUSER[i])); - } - - this.HX[(2-1) + (1-1) * this.NVAR] = sum21; - this.HX[(1-1) + (2-1) * this.NVAR] = this.HX[(2-1) + (1-1) * this.NVAR]; - this.HX[(2-1) + (2-1) * this.NVAR] = sum22; - this.HX[(4-1) + (3-1) * this.NVAR] = sum43; - this.HX[(3-1) + (4-1) * this.NVAR] = this.HX[(4-1) + (3-1) * this.NVAR]; - this.HX[(4-1) + (4-1) * this.NVAR] = sum44; - this.HX[(6-1) + (5-1) * this.NVAR] = sum65; - this.HX[(5-1) + (6-1) * this.NVAR] = this.HX[(6-1) + (5-1) * this.NVAR]; - this.HX[(6-1) + (6-1) * this.NVAR] = sum66; - - this.INFORM = 0; - } - } - - public static class MONIT extends E04GG.Abstract_E04GG_MONIT { - - public void eval() { - E04FFU e04ffu = new E04FFU(); - e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, - this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ffu.getINFORM(); - } - } - - public static class LSQHPRD extends E04GG.Abstract_E04GG_LSQHPRD { - - public void eval() { - E04GGV e04ggv = new E04GGV(); - e04ggv.eval(this.NVAR, this.X, this.Y, this.NRES, this.HXY, - this.INFORM, this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ggv.getINFORM(); - } - } - -} diff --git a/simple_examples/int32/E04MTJE.java b/simple_examples/int32/E04MTJE.java deleted file mode 100644 index 6272e91..0000000 --- a/simple_examples/int32/E04MTJE.java +++ /dev/null @@ -1,132 +0,0 @@ -import com.nag.routines.E04.E04MT; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RF; -import com.nag.routines.E04.E04RH; -import com.nag.routines.E04.E04RJ; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04ZM; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.util.Arrays; - -/** - * E04MT example program text. - */ -public class E04MTJE { - - public static void main(String[] args) throws IOException { - - System.out.println(" E04MTJ Example Program Results"); - int m = 7; - int n = 7; - int nnza = 41; - int nnzc = 7; - int nnzu = 2*n + 2*m; - - int[] cindex = {1,2,3,4,5,6,7}; - double[] c = {-0.02,-0.20,-0.20,-0.20,-0.20, 0.04, 0.04}; - int[] irowa = {1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3, - 4,4,4,4,4,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7}; - int[] icola = {1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,4,5,6, - 1,2,3,4,5,1,2,5,1,2,3,4,5,6,1,2,3,4,5,6,7}; - double[] a = {1.00, 1.00, 1.00, 1.00, 1.00, 1.00, 1.00, - 0.15, 0.04, 0.02, 0.04, 0.02, 0.01, 0.03, - 0.03, 0.05, 0.08, 0.02, 0.06, 0.01,0.02, - 0.04, 0.01, 0.02, 0.02,0.02, 0.03, 0.01,0.70, - 0.75, 0.80, 0.75, 0.80, 0.97,0.02, 0.06, 0.08, - 0.12, 0.02, 0.01, 0.97}; - double[] bla = {-0.13,-1.0e20,-1.0e20,-1.0e20,-1.0e20, - -0.0992,-0.003}; - double[] bua = {-0.13,-0.0049,-0.0064,-0.0037,-0.0012, - 1.0e20, 0.002}; - double[] xl = {-0.01,-0.1,-0.01,-0.04,-0.1,-0.01,-0.01}; - double[] xu = {0.01,0.15,0.03,0.02,0.05,1.0e20,1.0e20}; - double[] dArrData = new double[nnza+2*m+3*n+nnzc+nnzu]; - - long handle = 0; - int ifail = 0; - E04RA e04ra = new E04RA(handle,n,ifail); - e04ra.eval(); - - handle = e04ra.getHANDLE(); - - int[] icolh = new int[1]; - int[] irowh = new int[1]; - double[] h = new double[1]; - E04RF e04rf = new E04RF(handle,nnzc,cindex,c,0,irowh,icolh,h,ifail); - e04rf.eval(); - handle = e04ra.getHANDLE(); - - E04RH e04rh = new E04RH(handle,n,xl,xu,ifail); - e04rh.eval(); - handle = e04rh.getHANDLE(); - - int idlc = 0; - E04RJ e04rj = new E04RJ(handle,m,bla,bua,nnza,irowa,icola,a,idlc,ifail); - e04rj.eval(); - handle = e04rj.getHANDLE(); - - E04ZM e04zm = new E04ZM(handle,"LPIPM Monitor Frequency = 1",ifail); - e04zm.eval(); - e04zm.setOPTSTR("LPIPM Stop Tolerance = 1.0e-10"); - e04zm.eval(); - e04zm.setOPTSTR("Print Solution = YES"); - e04zm.eval(); - e04zm.setOPTSTR("Print Options = NO"); - e04zm.eval(); - e04zm.setOPTSTR("LPIPM Centrality Correctors = -6"); - e04zm.eval(); - handle = e04zm.getHANDLE(); - - long cpuser = 2; - int[] iuser = {1}; - double[] ruser = new double[1]; - ifail = -1; - MONIT monit = new MONIT(); - double[] x = new double[n], u = new double[nnzu]; - double[] rinfo = new double[100], stats = new double[100]; - System.out.println(); - System.out.println("++++++++++ Use the Primal-Dual algorithm ++++++++++"); - E04MT e04mt = new E04MT(handle,n,x,nnzu,u,rinfo,stats, - monit,iuser,ruser,cpuser,ifail); - e04mt.eval(); - System.out.println(); - System.out.println("++++++++++ Use the Self-Dual algorithm ++++++++++"); - e04zm.setOPTSTR("LPIPM Algorithm = Self-Dual"); - e04zm.eval(); - e04zm.setOPTSTR("LPIPM Stop Tolerance 2 = 1.0e-11"); - e04zm.eval(); - iuser[0] = 2; - e04mt.setIFAIL(-1); - e04mt.setHANDLE(e04zm.getHANDLE()); - e04mt.setIUSER(iuser); - e04mt.eval(); - - } - - public static class MONIT extends E04MT.Abstract_E04MT_MONIT { - - public void eval() { - - double tol = 1.2e-8; - - if (IUSER[0] == 1) { - if ((RINFO[4] < tol) && (RINFO[5] < tol) && (RINFO[6] < tol)) { - System.out.println("Iteration " + Integer.toString((int)STATS[0])); - System.out.printf(" monit() reports good approximate solution (tol = %5.2E):\n", tol); - } - } - else { - if ((RINFO[14] < tol) && (RINFO[15] < tol) && (RINFO[16] < tol) && (RINFO[17] < tol)) { - System.out.println("Iteration " + Integer.toString((int)STATS[0])); - System.out.printf(" monit() reports good approximate solution (tol = %5.2E):\n", tol); - } - } - - } - - } - -} diff --git a/simple_examples/int32/E04MXJE.java b/simple_examples/int32/E04MXJE.java deleted file mode 100644 index 642a933..0000000 --- a/simple_examples/int32/E04MXJE.java +++ /dev/null @@ -1,292 +0,0 @@ -import com.nag.routines.E04.E04MX; -import com.nag.routines.E04.E04NP; -import com.nag.routines.E04.E04NQ; -import com.nag.routines.E04.E04NS; -import com.nag.routines.E04.E04NT; -import com.nag.routines.X04.X04AC; -import com.nag.routines.X04.X04AD; -import java.util.Arrays; - -/** - * E04MX example program text. - */ -public class E04MXJE { - - public static void main(String[] args) { - - /* Parameters */ - int lencw = 600, leniw = 600, lenrw = 600, mpslst = 1, nin = 7, nout = 6; - boolean readints = false; - String fname = args[0]; - /* Local Scalars */ - double obj, objadd, sinf; - int i, ifail, iobj, lenc, lintvar, m, maxlintvar, maxm, maxn, maxncolh, - maxnnz, maxnnzh, minmax, mode, n, ncolh, ninf, nname, nnz, nnzh, ns; - boolean verboseOutput; - String start; - /* Local Arrays */ - double[] a, bl, bu, c, h, pi, rc, ruser, rw, x; - int[] helast, hs, iccola, iccolh, intvar, irowa, irowh, iuser, iw; - String[] crname, cw; - String[] cuser = new String[1], pnames = new String[5]; - cuser[0] = " "; - for (int j = 0; j < 5; j++) { - pnames[j] = " "; - } - - System.out.println(" E04MXJ Example Program Results"); - - // Initialize - for (int j = 0; j < 5; j++) { - pnames[j] = " "; - } - maxm = 0; - maxn = 0; - maxnnz = 0; - maxnnzh = 0; - maxncolh = 0; - maxlintvar = 0; - - // Open the data file for reading - X04AC x04ac = new X04AC(); - mode = 0; - ifail = 0; - x04ac.eval(nin, fname, mode, ifail); - - // Prep call to E04MX in query mode - E04MX e04mx = new E04MX(); - a = new double[1]; - irowa = new int[1]; - iccola = new int[1]; - bl = new double[1]; - bu = new double[1]; - crname = new String[]{" "}; - h = new double[1]; - irowh = new int[1]; - iccolh = new int[1]; - intvar = new int[1]; - ifail = 0; - - // Placeholders for output only scalars - n = 0; - m = 0; - nnz = 0; - ncolh = 0; - nnzh = 0; - lintvar = 0; - iobj = 0; - nname = 0; - minmax = 0; - - // Make call to E04MX - e04mx.eval(nin, maxn, maxm, maxnnz, maxncolh, maxnnzh, maxlintvar, - mpslst, n, m, nnz, ncolh, nnzh, lintvar, iobj, a, irowa, - iccola, bl, bu, pnames, nname, crname, h, irowh, iccolh, - minmax, intvar, ifail); - - // Get output scalar values - n = e04mx.getN(); - m = e04mx.getM(); - nnz = e04mx.getNNZ(); - ncolh = e04mx.getNCOLH(); - nnzh = e04mx.getNNZH(); - lintvar = e04mx.getLINTVAR(); - iobj = e04mx.getIOBJ(); - nname = e04mx.getNNAME(); - minmax = e04mx.getMINMAX(); - ifail = e04mx.getIFAIL(); - - // Close file - X04AD x04ad = new X04AD(); - ifail = 0; - x04ad.eval(nin, ifail); - - // Set maxm, maxn and maxnnz - maxm = m; - maxn = n; - maxnnz = nnz; - maxnnzh = nnzh; - maxncolh = ncolh; - maxlintvar = (readints) ? lintvar : 1; - - // Allocate memory - irowa = new int[maxnnz]; - iccola = new int[maxn + 1]; - a = new double[maxnnz]; - bl = new double[maxn + maxm]; - bu = new double[maxn + maxm]; - crname = new String[maxn + maxm]; - for (int j = 0; j < (maxn + maxm); j++) { - crname[j] = " "; - } - irowh = new int[maxnnzh]; - iccolh = new int[maxncolh + 1]; - h = new double[maxnnzh]; - intvar = new int[maxlintvar]; - - // Open the data file for reading - mode = 0; - ifail = 0; - x04ac.eval(nin, fname, mode, ifail); - - // Call E04MX to read the problem - ifail = 0; - e04mx.eval(nin, maxn, maxm, maxnnz, maxncolh, maxnnzh, maxlintvar, - mpslst, n, m, nnz, ncolh, nnzh, lintvar, iobj, a, irowa, - iccola, bl, bu, pnames, nname, crname, h, irowh, iccolh, - minmax, intvar, ifail); - n = e04mx.getN(); - m = e04mx.getM(); - nnz = e04mx.getNNZ(); - ncolh = e04mx.getNCOLH(); - nnzh = e04mx.getNNZH(); - lintvar = e04mx.getLINTVAR(); - iobj = e04mx.getIOBJ(); - nname = e04mx.getNNAME(); - minmax = e04mx.getMINMAX(); - ifail = e04mx.getIFAIL(); - - // Close the data file - ifail = 0; - x04ad.eval(nin, ifail); - - /* Data has been read. Set up and run the solver */ - - iw = new int[leniw]; - rw = new double[lenrw]; - cw = new String[lencw]; - for (int j = 0; j < lencw; j++) { - cw[j] = " "; - } - - // Call E04NP to initialize workspace - E04NP e04np = new E04NP(); - ifail = 0; - e04np.eval(cw, lencw, iw, leniw, rw, lenrw, ifail); - - // Call option setter E04NS to change the direction of optimization. - // Minimization is assumed by default. - E04NS e04ns = new E04NS(); - if (minmax == 1) { - ifail = 0; - e04ns.eval("Maximize", cw, iw, rw, ifail); - } - else if (minmax == 0) { - ifail = 0; - e04ns.eval("Feasible Point", cw, iw, rw, ifail); - } - - // Set this to TRUE to cause E04NQ to produce intermediate progress output - verboseOutput = false; - - if (verboseOutput) { - // By default E04NQ does not print monitoring information. Set the print - // file unit or the summary file unit to get information. - E04NT e04nt = new E04NT(); - ifail = 0; - e04nt.eval("Print file", nout, cw, iw, rw, ifail); - } - else { - System.out.printf(" \n Problem contains %3d variables and %3d linear constraints\n", n, m); - } - - // We have no explicit objective vector so set LENC = 0; the objective vector - // is stored in row IOBJ of ACOL. - lenc = 0; - objadd = 0.0; - start = "C"; - - c = new double[Math.max(1, lenc)]; - helast = new int[n + m]; - x = new double[n + m]; - pi = new double[m]; - rc = new double[n + m]; - hs = new int[n + m]; - iuser = new int[ncolh + 1 + nnzh]; - ruser = new double[nnzh]; - - if (ncolh > 0) { - // Store the non zeros of H in ruser for use by qphx - for (int j = 0; j < nnzh; j++) { - ruser[j] = h[j]; - } - // Store iccolh and irowh in iuser for use by qphx - for (int j = 0; j < ncolh + 1; j++) { - iuser[j] = iccolh[j]; - } - for (int j = 0; j < nnzh; j++) { - iuser[j + ncolh + 1] = irowh[j]; - } - - } - - // Call E04NQ to solve the problem - E04NQ e04nq = new E04NQ(); - QPHX qphx = new QPHX(); - ns = 0; - ninf = 0; - sinf = 0.0; - obj = 0.0; - ifail = 0; - e04nq.eval(start, qphx, m, n, nnz, nname, lenc, ncolh, iobj, objadd, - pnames[0], a, irowa, iccola, bl, bu, c, crname, helast, hs, - x, pi, rc, ns, ninf, sinf, obj, cw, lencw, iw, leniw, rw, - lenrw,cuser,iuser,ruser,ifail); - ns = e04nq.getNS(); - ninf = e04nq.getNINF(); - sinf = e04nq.getSINF(); - obj = e04nq.getOBJ(); - ifail = e04nq.getIFAIL(); - - if (!verboseOutput) { - System.out.println(); - System.out.printf(" Final objective value = %11.3E\n", obj); - System.out.printf(" Optimal X = \n"); - System.out.printf(" "); - for (int j = 0; j < n; j++) { - System.out.printf("%9.2f", x[j]); - } - System.out.printf("\n"); - } - - } - - public static class QPHX extends E04NQ.Abstract_E04NQ_QPHX { - - /** - * Subroutine to compute H*x. - * Note: IUSER and RUSER contain the following data: - * RUSER(1:NNZH) = H(1:NNZH) - * IUSER(1:NCOLH+1) = ICCOLH(1:NCOLH+1) - * IUSER(NCOLH+2:NNZH+NCOLH+1) = IROWH(1:NNZH) - */ - public void eval() { - /* Local Scalars */ - int end, icol, idx, irow, start; - - Arrays.fill(HX, 0.0); - - for (icol = 0; icol < this.NCOLH + 1; ++icol) { - - start = this.IUSER[icol] - 1; - end = IUSER[icol+1] - 2; - - for (idx = start; idx < end + 1; ++idx) { - - irow = this.IUSER[this.NCOLH + 1 + idx] - 1; - this.HX[irow] += this.X[icol] * this.RUSER[idx]; - - if (irow != icol) { - this.HX[icol] += this.X[irow] * this.RUSER[idx]; - } - - } - - } - - } - - } - - -} diff --git a/simple_examples/int32/E04NCJE.java b/simple_examples/int32/E04NCJE.java deleted file mode 100644 index d6c3010..0000000 --- a/simple_examples/int32/E04NCJE.java +++ /dev/null @@ -1,246 +0,0 @@ -import static java.lang.Math.max; - -import com.nag.routines.E04.E04NC; -import com.nag.routines.E04.E04WB; -import com.nag.routines.F06.DGEMV; -import java.io.BufferedReader; -import java.io.FileReader; -import java.text.NumberFormat; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * E04NC example program text. - * @author ludovic - */ -public class E04NCJE { - - public static void main(String[] args) { - - double one = 1.0; - double zero = 0.0; - int inc1 = 1, lcwsav = 1, liwsav = 610, - llwsav = 120, lrwsav = 475, nin = 5, - nout = 6; - double obj; - int i, ifail, iter, lda, ldc, liwork, - lwork, m, n, nclin, sdc; - double[] a, b, bl, bu, c, - clamda, cvec, work, x; - double[] rwsav = new double[lrwsav]; - int[] istate, iwork, kx; - int[] iwsav = new int[liwsav]; - boolean[] lwsav = new boolean[llwsav]; - String[] cwsav = new String[lcwsav]; - - System.out.println(" E04NCJ Example Program Results"); - try { - - BufferedReader br = new BufferedReader(new FileReader(args[0])); - String line = br.readLine(); // read the header - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - String[] data = line.split("\\s+"); - m = Integer.parseInt(data[0]); - n = Integer.parseInt(data[1]); - nclin = Integer.parseInt(data[2]); - - liwork = n; - ldc = max(1,nclin); - lda = max(1,m); - - if (nclin > 0) { - sdc = n; - } - else { - sdc = 1; - } - - /* This particular example problem is of type LS1, so we allocate - * A(LDA,N), CVEC(1), B(M) and define LWORK as below - */ - if (nclin > 0) { - lwork = 2*n*n + 9*n + 6*nclin; - } - else { - lwork = 9*n; - } - - /* - * 2Ds arrays (size [n,m]) are stored in 1D arrays of size n*m, ordered by column - * ie: - * 1 1 1 - * 2 2 2 - * 3 3 3 - * - * is stored [1,2,3,1,2,3,1,2,3] - */ - istate = new int[n+nclin]; - kx = new int[n]; - iwork = new int[liwork]; - c = new double[ldc*sdc]; - bl = new double[n+nclin]; - bu = new double[n+nclin]; - cvec = new double[1]; - x = new double[n]; - a = new double[lda * n]; - b = new double[m]; - clamda = new double[n+nclin]; - work = new double[lwork]; - - /* - * Extra arrays to initialize: - */ - for (int ii = 0; ii < cwsav.length; ++ii) { - // 80 characters long... - cwsav[ii] - = " "; - } - - for (int ii = 0; ii < lda; ++ii) { - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - for (int jj = 0; jj < n; ++jj) { - a[lda*jj+ii] = Double.parseDouble(data[jj]); - } - } - - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - - for (int ii = 0; ii < m; ++ii) { - b[ii] = Double.parseDouble(data[ii]); - } - - for (int ii = 0; ii < ldc; ++ii) { - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - for (int jj = 0; jj < sdc; ++jj) { - c[ldc*jj+ii] = Double.parseDouble(data[jj]); - } - } - - //bl and bu to complicated to read properly -> hardcoded - line = br.readLine(); - line = br.readLine(); - bl[0] = 0.0; - bl[1] = 0.0; - bl[2] = -1.0E+25; - bl[3] = 0.0; - bl[4] = 0.0; - bl[5] = 0.0; - bl[6] = 0.0; - bl[7] = 0.0; - bl[8] = 0.0; - bl[9] = 2.0; - bl[10] = -1.0E+25; - bl[11] = 1.0; - - line = br.readLine(); - line = br.readLine(); - bu[0] = 2.0; - bu[1] = 2.0; - bu[2] = 2.0; - bu[3] = 2.0; - bu[4] = 2.0; - bu[5] = 2.0; - bu[6] = 2.0; - bu[7] = 2.0; - bu[8] = 2.0; - bu[9] = 1.0E+25; - bu[10] = 2.0; - bu[11] = 4.0; - - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - for (int ii = 0; ii < n; ++ii) { - x[ii] = Double.parseDouble(data[ii]); - } - - // CALL TO E04WBF - ifail = 0; - String routname = "E04NCA"; - E04WB e04wb = new E04WB(routname, cwsav, lcwsav, lwsav, llwsav, iwsav, liwsav, rwsav, - lrwsav, ifail); - e04wb.eval(); - cwsav = e04wb.getCWSAV(); - iwsav = e04wb.getIWSAV(); - lwsav = e04wb.getLWSAV(); - rwsav = e04wb.getRWSAV(); - - // CALL TO E04NCF - ifail = -1; - - /* Java needs these to be initialized, so set it to an impossible value - * to trap possible error later */ - iter = Integer.MIN_VALUE; - obj = Double.NaN; - - E04NC e04nc = new E04NC(m,n,nclin,ldc,lda,c,bl,bu,cvec,istate,kx,x,a,b,iter,obj, - clamda,iwork,liwork,work,lwork,lwsav,iwsav,rwsav,ifail); - e04nc.eval(); - - // Getting ifail's value back - ifail = e04nc.getIFAIL(); - - switch (ifail) { - case 0: - case 1: - case 2: - case 3: - case 4: - case 5: - case 7: - System.out.println("\n Varbl Istate Value Lagr Mult\n"); - - for (i = 0; i < n; ++i) { - System.out.printf(" V %3d %3d %14.3E %12.3E\n",(i+1), istate[i],x[i], clamda[i]); - } - - if (nclin > 0) { - DGEMV dgemv = new DGEMV(); - dgemv.eval("N",nclin,n,one,c,ldc,x,inc1,zero,work,inc1); - System.out.println("\n\n L Con Istate Value Lagr Mult\n"); - for (int ii = 0; ii < nclin; ++ii) { - System.out.printf(" L %3d %3d %14.3E %12.3E\n", - ii+1,istate[ii+n],work[ii],clamda[ii+n]); - } - } - - System.out.printf("\n\n Final objective value = %15.3E\n",e04nc.getOBJ()); - break; - default: - if (ifail > 7) { - System.out.println(" Varbl Istate Value Lagr Mult"); - for (i = 0; i < n; ++i) { - System.out.printf(" V %3d %3d %14.3E %12.3E)\n",(i+1), istate[i],x[i], clamda[i]); - } - - if (nclin > 0) { - DGEMV dgemv = new DGEMV(); - dgemv.eval("N",nclin,n,one,c,ldc,x,inc1,zero,work,inc1); - System.out.println(" L Con Istate Value Lagr Mult"); - for (int ii = 0; ii < nclin; ++ii) { - System.out.printf(" L %3d %3d %14.3E %12.3E\n", - ii+1,istate[ii+n],work[ii],clamda[ii+n]); - } - } - - System.out.printf("Final objective value is: %15.7f\n",e04nc.getOBJ()); - } - else { - System.out.println("E04NC returned with IFAIL = "+e04nc.getIFAIL()); - } - } - } - catch (Exception ex) { - Logger.getLogger(E04NCJE.class.getName()).log(Level.SEVERE, null, ex); - } - - } - -} diff --git a/simple_examples/int32/E04NFJE.java b/simple_examples/int32/E04NFJE.java deleted file mode 100644 index e341f9f..0000000 --- a/simple_examples/int32/E04NFJE.java +++ /dev/null @@ -1,234 +0,0 @@ -import com.nag.routines.E04.E04NF; -import com.nag.routines.E04.E04NH; -import com.nag.routines.E04.E04WB; -import com.nag.routines.E04.E54NFU; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.text.NumberFormat; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * E04NF example program text. - */ -public class E04NFJE { - - public static void main(String[] args) { - - /* Local Scalars */ - double obj; - int i, ifail, iter, lda, ldh, liwork, lwork, n, nclin, sda; - /* Local Arrays */ - double[] a, ax, bl, bu, clamda, cvec, h, work, x; - int[] istate, iwork; - - try { - - System.out.println(" E04NFJ Example Program Results"); - - if (args.length == 0) { - System.err.println("You need to provide the path to the data file e04nfae.d"); - System.exit(-1); - } - - // Read data from file - DataFile datafile = new DataFile(args[0]); - datafile.read(); - - liwork = 2 * datafile.n + 3; - lda = Math.max(1, datafile.nclin); - - sda = (datafile.nclin > 0) ? datafile.n : 1; - - // This particular example problem is of type QP2 with H stored explicitly, - // so we allocate CVEC(N) and H(LDH,N), and define LDH and LWORK as below - ldh = datafile.n; - - if (datafile.nclin > 0) { - lwork = 2 * datafile.n * datafile.n + 8 * datafile.n + 5 * datafile.nclin; - } - else { - lwork = datafile.n * datafile.n + 8 * datafile.n; - } - - istate = new int[datafile.n + datafile.nclin]; - ax = new double[Math.max(1, datafile.nclin)]; - iwork = new int[liwork]; - // h, bl, bu, cvec, x, a: already read from data file - clamda = new double[datafile.n + datafile.nclin]; - work = new double[lwork]; - - // Init routine - E04WB e04wb = new E04WB(); - int lcwsav = 1, liwsav = 610, llwsav = 120, lrwsav = 475; - String[] cwsav = new String[lcwsav]; - cwsav[0] - = " "; - int[] iwsav = new int[liwsav]; - boolean[] lwsav = new boolean[llwsav]; - double[] rwsav = new double[lrwsav]; - ifail = 0; - e04wb.eval("E04NFA", cwsav, lcwsav, lwsav, llwsav, iwsav, liwsav, rwsav, lrwsav, ifail); - - // Set print level to match E04NFF example output - E04NH e04nh = new E04NH(); - int inform = 0; - e04nh.eval("Print Level = 10", lwsav, iwsav, rwsav, inform); - - // Solve the problem - E04NF e04nf = new E04NF(); - double[] ruser = new double[1]; - int[] iuser = new int[1]; - iter = 0; - obj = Double.NaN; - ifail = 0; - e04nf.eval(datafile.n, datafile.nclin, datafile.a, datafile.lda, datafile.bl, - datafile.bu, datafile.cvec, datafile.h, datafile.ldh, new QPHESS(), istate, - datafile.x, iter, obj, ax, clamda, iwork, liwork, work, lwork, - iuser, ruser, lwsav, iwsav, rwsav, ifail); - - ifail = e04nf.getIFAIL(); - - } - catch (Exception ex) { - Logger.getLogger(E04NFJE.class.getName()).log(Level.SEVERE, null, ex); - } - - } - - /** Using E54NFU as a default. */ - public static class QPHESS extends E54NFU implements E04NF.E04NF_QPHESS { - - public void eval() { - super.eval(); - } - - } - - public static class DataFile { - - public String filename; - public int n, nclin, lda, sda, ldh; - public double[] cvec, a, bl, bu, x, h; - - public DataFile(String filename) { - this.filename = filename; - } - - public void read() throws FileNotFoundException, IOException { - BufferedReader dataIn = new BufferedReader(new FileReader(filename)); - String line = dataIn.readLine(); // skipping header - line = dataIn.readLine().trim(); - String[] lines = line.split(":");//removing comments - String[] dataLine = lines[0].split("\\s+"); - if (dataLine.length != 2) { - System.err.println("Something went wrong when reading the data file" - + " - can't read n and nclin!"); - System.exit(1); - } - n = Integer.parseInt(dataLine[0]); - nclin = Integer.parseInt(dataLine[1]); - - lda = Math.max(1, nclin); - - if (nclin > 0) { - sda = n; - } - else { - sda = 1; - } - ldh = n; - - cvec = new double[n]; - a = new double[lda * sda]; - bl = new double[n + nclin]; - bu = new double[n + nclin]; - x = new double[n]; - h = new double[ldh * n]; - - //reading cvec - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for cvec"); - System.exit(1); - } - - for (int i = 0; i < n; ++i) { - cvec[i] = Double.parseDouble(dataLine[i].trim().replaceAll("D", "E")); - } - - //reading a - for (int i = 0; i < lda; ++i) { - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != sda) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for a"); - System.exit(1); - } - for (int j = 0; j < sda; ++j) { - a[i + j * lda] = Double.parseDouble(dataLine[j].trim().replaceAll("D", "E")); - } - } - - //reading bl - //it's on two lines in the data file, so we need to merge them - line = dataIn.readLine().trim().split(":")[0].trim() + " " - + dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n + nclin) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for bl"); - System.exit(1); - } - for (int i = 0; i < n + nclin; ++i) { - bl[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); - } - - //reading bu - //it's on two lines in the data file, so we need to merge them - line = dataIn.readLine().trim().split(":")[0].trim() + " " - + dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n + nclin) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for bu"); - System.exit(1); - } - for (int i = 0; i < n + nclin; ++i) { - bu[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); - } - - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for x"); - System.exit(1); - } - for (int i = 0; i < n; ++i) { - x[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); - } - - for (int i = 0; i < ldh; ++i) { - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for h at line " + i); - System.exit(1); - } - for (int j = 0; j < n; ++j) { - h[i + j * ldh] = Double.parseDouble(dataLine[j].replaceAll("D", "E")); - } - } - - - } - } - -} diff --git a/simple_examples/int32/E04NKJE.java b/simple_examples/int32/E04NKJE.java deleted file mode 100644 index 604ee66..0000000 --- a/simple_examples/int32/E04NKJE.java +++ /dev/null @@ -1,295 +0,0 @@ -import com.nag.routines.E04.E04NK; -import com.nag.routines.E04.E04WB; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.util.Arrays; - -/** - * E04NKJ Example Program Text - * @author willa - * @since 27.1.0.0 - */ -public class E04NKJE{ - private static int lcwsav = 1; - private static int liwsav = 380; - private static int llwsav = 20; - private static int lrwsav = 285; - - /** - * E04NKJ Example main program. - */ - public static void main(String[] args){ - double obj, sinf; - int icol, ifail, iobj, jcol, leniz, lenz, m, miniz, minz, n, ncolh, ninf, nname, nnz, ns, i; - String start; - double[] a, bl, bu, clamda, xs, z, ruser, rwsav; - int[] ha, istate, iz, ka, iuser, iwsav; - boolean[] lwsav; - String[] crname, cwsav, names; - - System.out.println("E04NKJ Example Program Results"); - - ruser = new double[1]; - rwsav = new double[lrwsav]; - iuser = new int[1]; - iwsav = new int[liwsav]; - - cwsav = new String[lcwsav]; - //equivalent to ```Character (80) :: cwsav(lcwsav)``` - for(i = 0; i < lcwsav; i++){ - char[] chars = new char[80]; - Arrays.fill(chars, ' '); - cwsav[i] = new String(chars); - } - names = new String[5]; - //names all blank anyway this time - for(i = 0; i < 5; i++){ - char[] chars = new char[8]; - Arrays.fill(chars, ' '); - names[i] = new String(chars); - } - - //dummy arrays - crname = new String[0]; - - n = 7; - m = 8; - nnz = 48; - iobj = 8; - ncolh = 7; - start = "C"; - nname = 15; - - ha = new int[nnz]; - ka = new int[n + 1]; - istate = new int[n + m]; - a = new double[nnz]; - bl = new double[n + m]; - bu = new double[n + m]; - xs = new double[n + m]; - clamda = new double[n + m]; - crname = new String[nname]; - lwsav = new boolean[llwsav]; - - names[0] = " "; - names[1] = " "; - names[2] = " "; - names[3] = " "; - names[4] = " "; - - crname[0] = "...X1..."; - crname[1] = "...X2..."; - crname[2] = "...X3..."; - crname[3] = "...X4..."; - crname[4] = "...X5..."; - crname[5] = "...X6..."; - crname[6] = "...X7..."; - crname[7] = "..ROW1.."; - crname[8] = "..ROW2.."; - crname[9] = "..ROW3.."; - crname[10] = "..ROW4.."; - crname[11] = "..ROW5.."; - crname[12] = "..ROW6.."; - crname[13] = "..ROW7.."; - crname[14] = "..COST.."; - - //Matrix A. Set up KA - jcol = 1; - ka[0] = 1; - - a[0] = 0.02; ha[0] = 7; - a[1] = 0.02; ha[1] = 5; - a[2] = 0.03; ha[2] = 3; - a[3] = 1.00; ha[3] = 1; - a[4] = 0.70; ha[4] = 6; - a[5] = 0.02; ha[5] = 4; - a[6] = 0.15; ha[6] = 2; - a[7] = -200.00; ha[7] = 8; - a[8] = 0.06; ha[8] = 7; - a[9] = 0.75; ha[9] = 6; - a[10] = 0.03; ha[10] = 5; - a[11] = 0.04; ha[11] = 4; - a[12] = 0.05; ha[12] = 3; - a[13] = 0.04; ha[13] = 2; - a[14] = 1.00; ha[14] = 1; - a[15] = -2000.00; ha[15] = 8; - a[16] = 0.02; ha[16] = 2; - a[17] = 1.00; ha[17] = 1; - a[18] = 0.01; ha[18] = 4; - a[19] = 0.08; ha[19] = 3; - a[20] = 0.08; ha[20] = 7; - a[21] = 0.80; ha[21] = 6; - a[22] = -2000.00; ha[22] = 8; - a[23] = 1.00; ha[23] = 1; - a[24] = 0.12; ha[24] = 7; - a[25] = 0.02; ha[25] = 3; - a[26] = 0.02; ha[26] = 4; - a[27] = 0.75; ha[27] = 6; - a[28] = 0.04; ha[28] = 2; - a[29] = -2000.00; ha[29] = 8; - a[30] = 0.01; ha[30] = 5; - a[31] = 0.80; ha[31] = 6; - a[32] = 0.02; ha[32] = 7; - a[33] = 1.00; ha[33] = 1; - a[34] = 0.02; ha[34] = 2; - a[35] = 0.06; ha[35] = 3; - a[36] = 0.02; ha[36] = 4; - a[37] = -2000.00; ha[37] = 8; - a[38] = 1.00; ha[38] = 1; - a[39] = 0.01; ha[39] = 2; - a[40] = 0.01; ha[40] = 3; - a[41] = 0.97; ha[41] = 6; - a[42] = 0.01; ha[42] = 7; - a[43] = 400.00; ha[43] = 8; - a[44] = 0.97; ha[44] = 7; - a[45] = 0.03; ha[45] = 2; - a[46] = 1.00; ha[46] = 1; - a[47] = 400.00; ha[47] = 8; - - ka[1] = 9; - ka[2] = 17; - ka[3] = 24; - ka[4] = 31; - ka[5] = 39; - ka[6] = 45; - ka[7] = 49; - - bl[0] = 0.0; - bl[1] = 0.0; - bl[2] = 4.0e2; - bl[3] = 1.0e2; - bl[4] = 0.0; - bl[5] = 0.0; - bl[6] = 0.0; - bl[7] = 2.0e3; - bl[8] = -1.0e25; - bl[9] = -1.0e25; - bl[10] = -1.0e25; - bl[11] = -1.0e25; - bl[12] = 1.5e3; - bl[13] = 2.5e2; - bl[14] = -1.0e25; - - bu[0] = 2.0e2; - bu[1] = 2.5e3; - bu[2] = 8.0e2; - bu[3] = 7.0e2; - bu[4] = 1.5e3; - bu[5] = 1.0e25; - bu[6] = 1.0e25; - bu[7] = 2.0e3; - bu[8] = 6.0e1; - bu[9] = 1.0e2; - bu[10] = 4.0e1; - bu[11] = 3.0e1; - bu[12] = 1.0e25; - bu[13] = 3.0e2; - bu[14] = 1.0e25; - - istate[0] = 0; - istate[1] = 0; - istate[2] = 0; - istate[3] = 0; - istate[4] = 0; - istate[5] = 0; - istate[6] = 0; - istate[7] = 0; - - xs[0] = 0.0; - xs[1] = 0.0; - xs[2] = 0.0; - xs[3] = 0.0; - xs[4] = 0.0; - xs[5] = 0.0; - xs[6] = 0.0; - xs[7] = 0.0; - - ifail = 0; - E04WB e04wb = new E04WB("E04NKA",cwsav,lcwsav,lwsav,llwsav,iwsav,liwsav,rwsav, - lrwsav,ifail); - e04wb.eval(); - - leniz = 1; - lenz = 1; - iz = new int[leniz]; - z = new double[lenz]; - - QPHX qphx = new QPHX(); - - ifail = 1; - - //placeholders - ns = 0; - miniz = 0; - minz = 0; - ninf = 0; - sinf = 0.0; - obj = 0.0; - - E04NK e04nk = new E04NK(n,m,nnz,iobj,ncolh,qphx,a,ha,ka,bl,bu,start,names,nname, - crname,ns,xs,istate,miniz,minz,ninf,sinf,obj,clamda,iz, - leniz,z,lenz,iuser,ruser,lwsav,iwsav,rwsav,ifail); - e04nk.eval(); - ifail = e04nk.getIFAIL(); - - minz = e04nk.getMINZ(); - miniz = e04nk.getMINIZ(); - - lenz = minz; - leniz = miniz; - - iz = new int[leniz]; - z = new double[lenz]; - - ifail = -1; - - e04nk.eval(n,m,nnz,iobj,ncolh,qphx,a,ha,ka,bl,bu,start,names,nname,crname,ns,xs, - istate,miniz,minz,ninf,sinf,obj,clamda,iz,leniz,z,lenz,iuser,ruser, - lwsav,iwsav,rwsav,ifail); - - //update - ifail = e04nk.getIFAIL(); - obj = e04nk.getOBJ(); - - if(ifail == 0){ - System.out.println(); - System.out.println("\tVariable Istate Value Lagr Mult"); - System.out.println(); - - for(i = 0; i < n; i++){ - System.out.printf("\t%s\t%d\t%.6g\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); - } - - if(m > 0){ - System.out.println(); - System.out.println(); - System.out.println("\tConstrnt Istate Value\t\t Lagr Mult"); - System.out.println(); - - for(i = n; i < n + m - 1; i++){ - System.out.printf("\t%s\t%d\t%.6g\t\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); - } - System.out.printf("\t%s\t%d\t%.6g\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); - } - - System.out.println(); - System.out.println(); - System.out.printf("Final objetive value = %15.7g\n", obj); - } - - } - - public static class QPHX extends E04NK.Abstract_E04NK_QPHX{ - public void eval(){ - this.HX[0] = 2 * this.X[0]; - this.HX[1] = 2 * this.X[1]; - this.HX[2] = 2 * (this.X[2] + this.X[3]); - this.HX[3] = this.HX[2]; - this.HX[4] = 2 * this.X[4]; - this.HX[5] = 2 * (this.X[5] + this.X[6]); - this.HX[6] = this.HX[5]; - } - } -} diff --git a/simple_examples/int32/E04NQJE.java b/simple_examples/int32/E04NQJE.java deleted file mode 100644 index 6cf84fe..0000000 --- a/simple_examples/int32/E04NQJE.java +++ /dev/null @@ -1,384 +0,0 @@ -import com.nag.routines.E04.E04NP; -import com.nag.routines.E04.E04NQ; -import com.nag.routines.E04.E04NT; -import java.io.BufferedReader; -import java.io.File; -import java.io.FileReader; -import java.io.IOException; -import java.util.Arrays; - -/** - * E04NQ example program text. - */ -public class E04NQJE { - - public static final int LENCW = 600; - public static final int LENIW = 600; - public static final int LENRW = 600; - public static final int NIN = 5; - public static final int NOUT = 6; - - public static void main(String[] args) throws IOException { - - /* Local Scalars */ - double obj, objadd, sinf; - int i, icol, ifail, iobj, jcol, lenc, m, n, ncolh, ne, ninf, nname, ns; - boolean verboseOutput; - String prob; // Length = 8 - String start; // Length = 1 - /* Local Arrays */ - double[] acol, bl, bu, c, pi, rc, x; - double[] ruser = new double[1], rw = new double[LENRW]; - int[] helast, hs, inda, loca; - int[] iuser = new int[1], iw = new int[LENIW]; - String[] cuser = new String[1], cw = new String[LENCW]; // Length = 8 - String[] names; // Length = 8 - /* Init String arrays with same length*/ - Arrays.fill(cuser, " "); - Arrays.fill(cw, " "); - - System.out.println(" E04NQJ Example Program Results"); - - /* Read data file */ - - if (args.length != 1) { - usage(); - } - BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); - String line; - - // Skip heading in data file - line = dataIn.readLine(); - - // Read n, m - line = dataIn.readLine(); - String[] data = line.split(":")[0].trim().split("\\s+"); - if (data.length != 2) { - System.out.println("Data file badly formatted - expected 2 ints separated by blank spaces.\n" - + line + "\n"+Arrays.toString(data)); - System.exit(1); - } - n = Integer.parseInt(data[0]); - m = Integer.parseInt(data[1]); - - // Read ne, iobj, ncolh, start, nname - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - if (data.length != 5) { - System.out.println("Data file badly formatted - expected 5 ints separated by blank spaces"); - System.exit(1); - } - ne = Integer.parseInt(data[0]); - iobj = Integer.parseInt(data[1]); - ncolh = Integer.parseInt(data[2]); - start = data[3].replaceAll("'",""); - nname = Integer.parseInt(data[4]); - - // Allocate - inda = new int[ne]; - loca = new int[n+1]; - helast = new int[n+m]; - hs = new int[n+m]; - acol = new double[ne]; - bl = new double[n+m]; - bu = new double[n+m]; - x = new double[n+m]; - pi = new double[m]; - rc = new double[n+m]; - names = new String[nname]; - - // Read names - line = dataIn.readLine(); // skipping blank line - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - int nameIndex = 0; - int dataIndex = 0; - while (nameIndex < nname) { - names[nameIndex] = data[dataIndex].replaceAll("'", ""); - ++nameIndex; - ++dataIndex; - if (nameIndex < nname && dataIndex == data.length) { - //need to read one more line - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - dataIndex = 0; - } - } - - // Read matrix - line = dataIn.readLine(); // skipping blank line - int locaIndex = 0; - int currentCol = 0; - for (i = 0; i < ne; ++i) { - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - if (data.length != 3) { - System.out.println("The line is not well formatted for input of A:\n\t"+line); - System.exit(1); - } - acol[i] = Double.parseDouble(data[0].replaceAll("d", "e").replaceAll("D", "e")); - inda[i] = Integer.parseInt(data[1]); - if (i == 0) { - loca[locaIndex] = 1;//storing for Fortran use: 1-based - ++locaIndex; - ++currentCol; - } - else { - int tmp = Integer.parseInt(data[2]); - if (tmp != currentCol) { - loca[locaIndex] = i+1; - ++currentCol; - ++locaIndex; - } - } - } - loca[n] = ne + 1; - - // Read bl - line = dataIn.readLine(); // skipping blank line - int blindex = 0; - dataIndex = 0; - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - while (blindex < bl.length) { - bl[blindex] = Double.parseDouble(data[dataIndex].replaceAll("d", "e").replaceAll("D", "e")); - ++blindex; - ++dataIndex; - if (blindex < bl.length && dataIndex == data.length) { - //need to read one more line - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - dataIndex = 0; - } - } - - // Read bu - line = dataIn.readLine(); // skipping blank line - int buindex = 0; - dataIndex = 0; - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - while (buindex < bu.length) { - bu[buindex] = Double.parseDouble(data[dataIndex].replaceAll("d", "e").replaceAll("D", "e")); - ++buindex; - ++dataIndex; - if (buindex < bu.length && dataIndex == data.length) { - //need to read one more line - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - dataIndex = 0; - } - } - - // Read hs - line = dataIn.readLine(); // skipping blank line - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - if (start.equalsIgnoreCase("C")) { - if (data.length != n) { - System.out.println("Wrong format for HS data.\n"); - System.exit(1); - } - } - else { - if (data.length != n+m) { - System.out.println("Wrong format for HS data.\n"); - System.exit(1); - } - } - for (i = 0; i < data.length; ++i) { - hs[i] = Integer.parseInt(data[i]); - } - - // Read x - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - if (data.length != n) { - System.out.println("Wrong format for X data."); - System.exit(1); - } - for (i = 0; i < data.length; ++i) { - x[i] = Double.parseDouble(data[i].replaceAll("d", "e").replaceAll("D", "e")); - } - - /* Done reading data file */ - - System.out.printf(" \n QP problem contains %3d variables and %3d linear constraints\n", n, m); - - /* Call E04NP to initialize E04NQ. */ - E04NP e04np = new E04NP(); - ifail = 0; - e04np.eval(cw,LENCW,iw,LENIW,rw,LENRW,ifail); - - /* Set this to .True. to cause e04nqf to produce intermediate - * progress output. */ - verboseOutput = true; - - if (verboseOutput) { - /* By default e04nqf does not print monitoring - * information. Set the print file unit or the summary - * file unit to get information. */ - E04NT e04nt = new E04NT(); - ifail = 0; - e04nt.eval("Print file", NOUT, cw, iw, rw, ifail); - } - - /* We have no explicit objective vector so set LENC = 0; the - * objective vector is stored in row IOBJ of ACOL. */ - lenc = 0; - c = new double[Math.max(1,lenc)]; - objadd = 0.0; - sinf = 0.0; - obj = Double.NaN; - prob = " "; - - /* Do not allow any elastic variables (i.e. they cannot be - * infeasible). If we'd set optional argument "Elastic mode" to 0, - * we wouldn't need to set the individual elements of array HELAST. */ - - for (int j = 0; j < (n+m); j++) { - helast[j] = 0; - } - - /* Solve the QP problem. */ - - E04NQ e04nq = new E04NQ(); - ifail = 0; - ns = 0; - ninf = 0; - e04nq.eval(start,new QPHX(ncolh),m,n,ne,nname,lenc,ncolh,iobj,objadd,prob,acol, - inda,loca,bl,bu,c,names,helast,hs,x,pi,rc,ns,ninf,sinf,obj,cw,LENCW, - iw,LENIW,rw,LENRW,cuser,iuser,ruser,ifail); - - System.out.println(); - System.out.printf(" Final objective value = %11.3E\n",e04nq.getOBJ()); - System.out.print(" Optimal X = "); - for (i = 0; i < n; ++i) { - System.out.printf("%9.2f ", x[i]); - } - System.out.println(); - - } - - private static void usage() { - System.out.println("Usage:\n" - + "\tjava -cp " + File.separator + "NAGJava.jar" + File.pathSeparator - + ". E04NQJE " + File.separator + "e04nqfe.d"); - System.exit(1); - } - - public static class QPHX implements E04NQ.E04NQ_QPHX { - - private int NCOLHREF; - - public QPHX(int NCOLHREF) { - this.NCOLHREF = NCOLHREF; - } - - // @Override - public void eval(int NCOLH, double[] X, double[] HX, int NSTATE, - String[] CUSER, int[] IUSER, double[] RUSER) { - - if (NCOLH != NCOLHREF) { - System.out.println("NCOLH value is wrong!"); - System.out.println("TEST FAILED"); - System.exit(1); - } - HX[0] = 2.0*X[0]; - HX[1] = 2.0*X[1]; - HX[2] = 2.0*(X[2]+X[3]); - HX[3] = HX[2]; - HX[4] = 2.0*X[4]; - HX[5] = 2.0*(X[5]+X[6]); - HX[6] = HX[5]; - - } - - private String[] CUSER; - private double[] HX,RUSER,X; - private int[] IUSER; - private int NCOLH, NSTATE; - - // @Override - public String[] getCUSER() { - return CUSER; - } - - // @Override - public double[] getHX() { - return HX; - } - - // @Override - public int[] getIUSER() { - return IUSER; - } - - // @Override - public int getNCOLH() { - return NCOLH; - } - - // @Override - public int getNSTATE() { - return NSTATE; - } - - // @Override - public double[] getRUSER() { - return RUSER; - } - - // @Override - public double[] getX() { - return X; - } - - // @Override - public void setCUSER(String[] arg0) { - CUSER = arg0; - - } - - // @Override - public void setHX(double[] arg0) { - HX = arg0; - - } - - // @Override - public void setIUSER(int[] arg0) { - IUSER = arg0; - - } - - // @Override - public void setNCOLH(int arg0) { - NCOLH = arg0; - - } - - // @Override - public void setNSTATE(int arg0) { - NSTATE = arg0; - - } - - // @Override - public void setRUSER(double[] arg0) { - RUSER = arg0; - - } - - // @Override - public void setX(double[] arg0) { - X = arg0; - - } - - } - - - - -} diff --git a/simple_examples/int32/E04PTJE.java b/simple_examples/int32/E04PTJE.java deleted file mode 100644 index 75303ac..0000000 --- a/simple_examples/int32/E04PTJE.java +++ /dev/null @@ -1,344 +0,0 @@ -import com.nag.routines.E04.E04PT; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RB; -import com.nag.routines.E04.E04RE; -import com.nag.routines.E04.E04RH; -import com.nag.routines.E04.E04RJ; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04ZM; -import com.nag.routines.F08.DSYEVD; -import java.util.Arrays; - -/** - * E04PTJ example program text. - * @author joed - * @since 27.0.0.0 - */ -public class E04PTJE { - - - /** - * Monitoring function can be used to monitor the progress - * or, for example, to implement bespoke stopping criteria. - */ - private static class MONIT extends E04PT.Abstract_E04PT_MONIT { - - public void eval() { - - double tol = RUSER[0]; - int tolReached = IUSER[1]; - - // If x is close to the solution, print a message - if ((RINFO[14] < tol) && (RINFO[15] < tol) && (RINFO[16] < tol) && (RINFO[17] < tol)) { - if (tolReached == 0) { - System.out.println(); - System.out.printf("monit() reports good approximate solution (tol = %9.2E)\n", tol); - IUSER[1] = 1; - } - } - - } - - } - - - /** - * E04PTJ example main program. - */ - public static void main(String[] args) { - - DSYEVD dsyevd = new DSYEVD(); - E04PT e04pt = new E04PT(); - E04RA e04ra = new E04RA(); - E04RB e04rb = new E04RB(); - E04RE e04re = new E04RE(); - E04RH e04rh = new E04RH(); - E04RJ e04rj = new E04RJ(); - E04RZ e04rz = new E04RZ(); - E04ZM e04zm = new E04ZM(); - MONIT monit = new MONIT(); - - final int nqc = 1; - long cpuser, handle; - double r1; - int i, idgroup, idlc, idxa, ifail, j, liwork, lwork, m, n, na, nnza, nnzp0, - nnzp1, nnzu, nnzuc, nu, nv, nvarc1, nvarc2, rptr, xIdx; - boolean verboseOutput; - String ctype1, ctype2; // Length must be 8 - double[] a, bla, bua, c, f0, f1, lambda0, lambda1, p0, p1, q0, q1, u, uc, - work, x, xl, xu; - double[] rinfo = new double[100], ruser = new double[1], stats = new double[100]; - int[] icola, icolp0, icolp1, idxc1, idxc2, irowa, irowp0, irowp1, iwork; - int[] iuser = new int[2]; - - System.out.println("E04PTJ Example Program Results\n"); - - // Dimensions of the problem - n = 3; - nnzp0 = 6; - nnzp1 = 6; - - // Initialize size of linear constraints in SOCP - m = nqc; - na = n + nqc + 1; - nnza = nqc + n; - - // Initialize size of cone constraints - nvarc1 = 2; - nvarc2 = 2; - - // Set problem data - lwork = Math.max(2*n*n+6*n+1, 120+9*n); - liwork = 5*n + 3; - irowp0 = new int[]{1, 2, 3, 2, 3, 3}; - icolp0 = new int[]{1, 1, 1, 2, 2, 3}; - p0 = new double[]{0.493, 0.382, 0.270, 0.475, 0.448, 0.515}; - irowp1 = new int[]{1, 2, 3, 2, 3, 3}; - icolp1 = new int[]{1, 1, 1, 2, 2, 3}; - p1 = new double[]{0.737, 0.453, 1.002, 0.316, 0.635, 1.590}; - q0 = new double[]{0.847, 0.08, 0.505}; - q1 = new double[]{0.065, 0.428, 0.097}; - r1 = 1.276; - f0 = new double[n*n]; - f1 = new double[n*n]; - lambda0 = new double[n]; - lambda1 = new double[n]; - work = new double[lwork]; - iwork = new int[liwork]; - - // Store full P0 and P1 in F0 and F1 - Arrays.fill(f0, 0.0); - for (i = 0; i < nnzp0; i++) { - f0[getIdx(irowp0[i], icolp0[i], n)] = p0[i]; - } - Arrays.fill(f1, 0.0); - for (i = 0; i < nnzp1; i++) { - f1[getIdx(irowp1[i], icolp1[i], n)] = p1[i]; - } - - // Factorize P0 and P1 via eigenvalue decomposition - ifail = 0; - dsyevd.eval("V", "L", n, f0, n, lambda0, work, lwork, iwork, liwork, ifail); - dsyevd.eval("V", "L", n, f1, n, lambda1, work, lwork, iwork, liwork, ifail); - - // Fomulate F0 and F1 in P0 = F0'*F0, P1 = F1'*F1 - nu = 0; - nv = 0; - for (i = 1; i <= n; i++) { - if (lambda0[i-1] > 0) { - for (j = 1; j <= n; j++) { - f0[getIdx(j,i,n)] *= Math.sqrt(lambda0[i-1]); - } - m++; - nu++; - nnza += n; - } - if (lambda1[i-1] > 0) { - for (j = 1; j <= n; j++) { - f1[getIdx(j,i,n)] *= Math.sqrt(lambda1[i-1]); - } - m++; - nv++; - nnza += n; - } - } - nnza += nu + nv; - na += nu+ nv; - nvarc1 += nu; - nvarc2 += nv; - - // Add two fixed variable for two rotated quadratic cones - na += 2; - m += 2; - nnza += 2; - - // Compute size of multipliers - nnzu = 2*na + 2*m; - nnzuc = nvarc1 + nvarc2; - - // Initialize arrays to build SOCP - icola = new int[nnza]; - irowa = new int[nnza]; - a = new double[nnza]; - bla = new double[m]; - bua = new double[m]; - xl = new double[na]; - xu = new double[na]; - c = new double[na]; - x = new double[na]; - u = new double[nnzu]; - uc = new double[nnzuc]; - idxc1 = new int[nvarc1]; - idxc2 = new int[nvarc2]; - - // Build objective function parameter c - // [x, t1, u, v, y1, y2, t0] - Arrays.fill(c, 0.0); - for (j = 0; j < n; j++) { - c[j] = q0[j]; - } - c[na-1] = 1.0; - - // Build linear constraints parameter A - idxa = 0; - rptr = 0; - // q1 in First row - rptr++; - Arrays.fill(irowa, 0, n, rptr); - for (j = 0; j < n; j++) { - icola[j] = j+1; - a[j] = q1[j]; - } - idxa += n; - - // F0 in F0*x-u=0 row - for (i = 1; i <= n; i++) { - if (lambda0[i-1] > 0) { - rptr += 1; - for (j = 0; j < n; j++) { - irowa[idxa+j] = rptr; - icola[idxa+j] = j+1; - a[idxa+j] = f0[getIdx(j+1,i,n)]; - } - idxa += n; - } - } - // F1 in F1*x-v=0 row - for (i = 1; i <= n; i++) { - if (lambda1[i-1] > 0) { - rptr += 1; - for (j = 0; j < n; j++) { - irowa[idxa+j] = rptr; - icola[idxa+j] = j+1; - a[idxa+j] = f1[getIdx(j+1,i,n)]; - } - idxa += n; - } - } - // Rest of A, a diagonal matrix - for (j = 0; j < m; j++) { - irowa[idxa+j] = j+1; - icola[idxa+j] = n+j+1; - a[idxa+j] = 1.0; - } - for (j = 1; j < (nu+nv+1); j++) { - a[idxa+j] = -1.0; - } - // RHS in linear constraints - Arrays.fill(bla, 0.0); - Arrays.fill(bua, 0.0); - bla[0] = -r1; - bua[0] = -r1; - for (j = (m-nqc); j <= m; j++) { - bla[j-1] = 1.0; - bua[j-1] = 1.0; - } - - // Box constraints, all variables are free - Arrays.fill(xl, -1E+20); - Arrays.fill(xu, 1E+20); - - // Cone constraints - // First cone - idxc1[0] = na; - idxc1[1] = n + 1 + nu + nv + 1; - for (j = 2; j < nvarc1; j++) { - idxc1[j] = n + j; - } - ctype1 = "RQUAD "; - // Second cone - idxc2[0] = n + 1; - idxc2[1] = n + 1 + nu + nv + 2; - for (j = 2; j < nvarc2; j++) { - idxc2[j] = n + nu + j; - } - ctype2 = "RQUAD "; - - // Create the problem handle - handle = 0; - ifail = 0; - e04ra.eval(handle, na, ifail); - handle = e04ra.getHANDLE(); - - // Set objective function - ifail = 0; - e04re.eval(handle, na, c, ifail); - - // Set box constraints - ifail = 0; - e04rh.eval(handle, na, xl, xu, ifail); - - // Set linear constraints - ifail = 0; - idlc = 0; - e04rj.eval(handle, m, bla, bua, nnza, irowa, icola, a, idlc, ifail); - idlc = e04rj.getIDLC(); - - // Set first cone constraint - ifail = 0; - idgroup = 0; - e04rb.eval(handle, ctype1, nvarc1, idxc1, idgroup, ifail); - idgroup = e04rb.getIDGROUP(); - - // Set first cone constraint - ifail = 0; - idgroup = 0; - e04rb.eval(handle, ctype2, nvarc2, idxc2, idgroup, ifail); - idgroup = e04rb.getIDGROUP(); - - // Turn on monitoring - ifail = 0; - e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); - - /* Set this to true to cause e04pt to produce intermediate - * progress output */ - verboseOutput = false; - - if (verboseOutput) { - // Require printing of primal and dual solutions at the end of the solve - ifail = 0; - e04zm.eval(handle, "Print Solution = YES", ifail); - } - else { - // Turn off printing of intermediate progress output - ifail = 0; - e04zm.eval(handle, "Print Level = 1", ifail); - } - - // Call SOCP interior point solver - cpuser = 0; - iuser[0] = 0; // unused in this example - iuser[1] = 0; - ruser[0] = 1.0E-7; - ifail = -1; - e04pt.eval(handle, na, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, - ruser, cpuser, ifail); - ifail = e04pt.getIFAIL(); - - // Print solution if optimal or suboptimal solution found - if (ifail == 0 || ifail == 50) { - System.out.println(" Optimal X:"); - System.out.println(" x_idx Value "); - for (xIdx = 1; xIdx <= n; xIdx++) { - System.out.printf(" %5d %11.3E\n", xIdx, x[xIdx-1]); - } - } - - // Free the handle memory - ifail = 0; - e04rz.eval(handle, ifail); - - } - - - /** - * Convert from 2D Fortran index to 1D-column major Java index. - * @param x 1-based row index for a 2D array - * @param y 1-based column index for a 2D array - * @return the corresponding 0-based index for a 1D column-major array - */ - private static int getIdx(int x, int y, int dimX) { - return ((y-1) * dimX) + (x-1); - } - -} diff --git a/simple_examples/int32/E04RPJE.java b/simple_examples/int32/E04RPJE.java deleted file mode 100644 index d22d3d1..0000000 --- a/simple_examples/int32/E04RPJE.java +++ /dev/null @@ -1,199 +0,0 @@ -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RE; -import com.nag.routines.E04.E04RN; -import com.nag.routines.E04.E04RP; -import com.nag.routines.E04.E04RY; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04SV; - -/** - * E04RPJ Example Program Text - * @author willa - * @since 27.1.0.0 - */ - -public class E04RPJE{ - - /** - * E04RPJ Example main program - */ - public static void main(String[] args){ - int blkidx, dimaq, idblk, idlc, idx, idxend, ifail, inform, midx, nblk, nclin, - nnzasum, nnzb, nnzc, nnzh, nnzqsum, nnzu, nnzua, nnzuc, nq, nvar; - double[] a, b, bl, bu, cvec, h, q, x, rdummy, rinfo, stats; - int[] icola, icolb, icolh, icolq, idxc, irowa, irowb, irowh, irowq, nnza, - nnzq, qi, qj, idummy; - long cpuser, handle; - - rdummy = new double[1]; - rinfo = new double[32]; - stats = new double[32]; - idummy = new int[1]; - - System.out.println("E04RPJ Example Program Results"); - System.out.println(); - - //Problem size - nvar = 5; - nnzh = 0; - nclin = 0; - nnzb = 0; - nblk = 2; - - //Initialize handle to an empty problem - E04RA e04ra = new E04RA(); - handle = 0; - ifail = 0; - e04ra.eval(handle, nvar, ifail); - handle = e04ra.getHANDLE(); - - //Linear part of the objective function - cvec = new double[nvar]; - cvec[0] = 1; - cvec[1] = 0; - cvec[2] = 1; - cvec[3] = 0; - cvec[4] = 0; - - //Add the linear objetive function to the problem formulation - ifail = 0; - E04RE e04re = new E04RE(handle, nvar, cvec, ifail); - e04re.eval(); - - //Matrix inequalities - //block 1 - dimaq = 2; - nnzasum = 9; nnzqsum = 8; - idblk = 0; - - nnza = new int[nvar + 1]; - irowa = new int[nnzasum]; - icola = new int[nnzasum]; - a = new double[nnzasum]; - - nnza[0] = 2; - nnza[1] = 2; - nnza[2] = 3; - nnza[3] = 2; - nnza[4] = 0; - nnza[5] = 0; - - a[0] = 1.0; irowa[0] = 1; icola[0] = 1; - a[1] = 1.0; irowa[1] = 2; icola[1] = 2; - a[2] = 2.0; irowa[2] = 1; icola[2] = 1; - a[3] = -2.0; irowa[3] = 1; icola[3] = 2; - a[4] = 6.0; irowa[4] = 1; icola[4] = 1; - a[5] = 5.0; irowa[5] = 1; icola[5] = 2; - a[6] = -4.0; irowa[6] = 2; icola[6] = 2; - a[7] = 3.0; irowa[7] = 1; icola[7] = 2; - a[8] = 8.0; irowa[8] = 2; icola[8] = 2; - - idblk = 0; - ifail = 0; - //Add the linear matrix inequality to the problem formulation - E04RN e04rn = new E04RN(handle,nvar,dimaq,nnza,nnzasum,irowa,icola,a,1, - idummy,idblk,ifail); - e04rn.eval(); - //update - idblk = e04rn.getIDBLK(); - - nq = 6; - - qi = new int[nq]; - qj = new int[nq]; - nnzq = new int[nq]; - irowq = new int[nnzqsum]; - icolq = new int[nnzqsum]; - q = new double[nnzqsum]; - - qi[0] = 1; qj[0] = 4; - qi[1] = 2; qj[1] = 4; - qi[2] = 3; qj[2] = 4; - qi[3] = 1; qj[3] = 5; - qi[4] = 2; qj[4] = 5; - qi[5] = 3; qj[5] = 5; - - nnzq[0] = 1; - nnzq[1] = 2; - nnzq[2] = 1; - nnzq[3] = 1; - nnzq[4] = 2; - nnzq[5] = 1; - - q[0] = 2.0; irowq[0] = 1; icolq[0] = 1; - q[1] = 2.0; irowq[1] = 1; icolq[1] = 1; - q[2] = 1.0; irowq[2] = 1; icolq[2] = 2; - q[3] = 1.0; irowq[3] = 1; icolq[3] = 2; - q[4] = 1.0; irowq[4] = 1; icolq[4] = 2; - q[5] = 1.0; irowq[5] = 1; icolq[5] = 2; - q[6] = 2.0; irowq[6] = 2; icolq[6] = 2; - q[7] = 2.0; irowq[7] = 2; icolq[7] = 2; - - ifail = 0; - //Expand the existing linear matrix inequality with bilnear term - E04RP e04rp = new E04RP(handle,nq,qi,qj,dimaq,nnzq,nnzqsum,irowq,icolq, - q,idblk,ifail); - e04rp.eval(); - - //block 2 - dimaq = 2; - nnzasum = 5; - nnza = new int[nvar + 1]; - irowa = new int[nnzasum]; - icola = new int[nnzasum]; - a = new double[nnzasum]; - - nnza[0] = 2; - nnza[1] = 1; - nnza[2] = 1; - nnza[3] = 1; - nnza[4] = 0; - nnza[5] = 0; - - a[0] = 1.0; irowa[0] = 1; icola[0] = 1; - a[1] = 1.0; irowa[1] = 2; icola[1] = 2; - a[2] = 1.0; irowa[2] = 1; icola[2] = 1; - a[3] = 1.0; irowa[3] = 1; icola[3] = 2; - a[4] = 1.0; irowa[4] = 2; icola[4] = 2; - - idblk = 0; - ifail = 0; - //Add the linear matrix inequality to the problem formulation - e04rn = new E04RN(handle,nvar,dimaq,nnza,nnzasum,irowa,icola,a,1, - idummy,idblk,ifail); - e04rn.eval(); - - System.out.println("Passing SDP problem to solver"); - System.out.println(); - - ifail = 0; - //Print overview of handle - //nout = 6 is default output for fortran - E04RY e04ry = new E04RY(handle,6,"Overview,Matrix Constraints",ifail); - e04ry.eval(); - - //Allocate memory for the solver - x = new double[nvar]; - nnzu = 0; - nnzuc = 0; - nnzua = 0; - inform = 0; - for(int i = 0; i < nvar; i++){ - x[i] = 0.0; - } - - ifail = 0; - E04SV e04sv = new E04SV(handle,nvar,x,nnzu,rdummy,nnzuc,rdummy,nnzua,rdummy, - rinfo,stats,inform,ifail); - e04sv.eval(); - - //Destroy handle - ifail = 0; - E04RZ e04rz = new E04RZ(handle,ifail); - e04rz.eval(); - } - -} - - - diff --git a/simple_examples/int32/E04RSJE.java b/simple_examples/int32/E04RSJE.java deleted file mode 100644 index d614fbb..0000000 --- a/simple_examples/int32/E04RSJE.java +++ /dev/null @@ -1,229 +0,0 @@ -import com.nag.routines.E04.E04RS; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04ZM; -import com.nag.routines.E04.E04PT; -import com.nag.routines.E04.E04RZ; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * E04RS - */ -public class E04RSJE { - - public static void main(String[] args) { - - final int nout = 6; - - long cpuser, handle = 0; - double s = 0.0; - int idqc, ifail, n = 0, nnzq0 = 0, nnzq1 = 0, nnzu, nnzuc, x_idx; - boolean verbose_output; - - double[] q0 = null, q1 = null, r0 = null, r1 = null, u, uc, x; - double[] rinfo = new double[100]; - double[] ruser = new double[1]; - double[] stats = new double[100]; - int[] icolq0 = null, icolq1 = null, idxr0 = null, idxr1 = null, irowq0 = null, irowq1 = null; - int[] iuser = new int[2]; - - System.out.println(" E04RSJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); // skip header - - // Read dimensions of the problem - line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - nnzq0 = Integer.parseInt(sVal[1]); - nnzq1 = Integer.parseInt(sVal[2]); - - // Allocate memory to read data - irowq0 = new int[nnzq0]; - icolq0 = new int[nnzq0]; - q0 = new double[nnzq0]; - irowq1 = new int[nnzq1]; - icolq1 = new int[nnzq1]; - q1 = new double[nnzq1]; - idxr0 = new int[n]; - r0 = new double[n]; - idxr1 = new int[n]; - r1 = new double[n]; - - // Read problem data - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq0; i++) { - irowq0[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq0; i++) { - icolq0[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq0; i++) { - q0[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq1; i++) { - irowq1[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq1; i++) { - icolq1[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq1; i++) { - q1[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < n; i++) { - idxr0[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < n; i++) { - r0[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < n; i++) { - idxr1[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < n; i++) { - r1[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - s = Double.parseDouble(sVal[0]); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Compute size of multipliers - // One quadratic constraint in the model will have - // 2 multipliers for both bounds - nnzu = 2; - // No cone constraint in the model, so set nnzuc to 0 - nnzuc = 0; - - // Allocate memory for final results - x = new double[n]; - u = new double[nnzu]; - uc = new double[nnzuc]; - - // Create the problem handle - ifail = 0; - E04RA e04ra = new E04RA(); - e04ra.eval(handle, n, ifail); - handle = e04ra.getHANDLE(); - - // Set objective function - idqc = -1; - ifail = 0; - E04RS e04rs = new E04RS(); - e04rs.eval(handle, 0.0, n, idxr0, r0, nnzq0, irowq0, icolq0, q0, idqc, ifail); - - // Set quadratic constraint - idqc = 0; - ifail = 0; - e04rs.eval(handle, s, n, idxr1, r1, nnzq1, irowq1, icolq1, q1, idqc, ifail); - - // Turn on monitoring - ifail = 0; - E04ZM e04zm = new E04ZM(); - e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); - - // Set this to True to cause e04ptf to produce intermediate progress output - verbose_output = false; - - if (verbose_output) { - // Require printing of primal and dual solutions at the end of the solve - ifail = 0; - e04zm.eval(handle, "Print Solution = YES", ifail); - } else { - // Turn off printing of intermediate progress output - ifail = 0; - e04zm.eval(handle, "Print Level = 1", ifail); - } - - // Call SOCP interior point solver - cpuser = 0; - iuser[0] = nout; - iuser[1] = 0; - ruser[0] = 1.0e-07; - ifail = -1; - E04PT e04pt = new E04PT(); - MONIT monit = new MONIT(); - e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - ifail = e04pt.getIFAIL(); - - // Print solution if optimal or suboptimal solution found - if ((ifail == 0) || (ifail == 50)) { - System.out.println(" Optimal X:"); - System.out.println(" x_idx Value "); - for (x_idx = 0; x_idx < n; x_idx++) { - System.out.printf(" %5d %11.3e\n", x_idx, x[x_idx]); - } - } - - // Free the handle memory - ifail = 0; - E04RZ e04rz = new E04RZ(); - e04rz.eval(handle, ifail); - } - - public static class MONIT extends E04PT.Abstract_E04PT_MONIT { - - public void eval() { - double tol; - int nout, tol_reached; - - nout = this.IUSER[0]; - tol_reached = this.IUSER[1]; - tol = this.RUSER[0]; - - // If x is close to the solution, print a message - if ((this.RINFO[14] < tol) && (this.RINFO[15] < tol) && (this.RINFO[16] < tol) && (this.RINFO[17] < tol)) { - if (tol_reached == 0) { - System.out.printf("\n monit() reports good approximate solution (tol =%9.2e)\n", tol); - this.IUSER[1] = 1; - } - } - } - } -} diff --git a/simple_examples/int32/E04RTJE.java b/simple_examples/int32/E04RTJE.java deleted file mode 100644 index dd4bce8..0000000 --- a/simple_examples/int32/E04RTJE.java +++ /dev/null @@ -1,225 +0,0 @@ -import com.nag.routines.E04.E04RT; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RJ; -import com.nag.routines.E04.E04ZM; -import com.nag.routines.E04.E04PT; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04RH; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * E04RT example program text. - */ -public class E04RTJE { - - public static void main(String[] args) { - - final int nout = 6; - - long cpuser, handle = 0; - int i, idlc, idqc, ifail, j, m = 0, n = 0, nnza = 0, nnzu, nnzuc, x_idx; - boolean verbose_output; - - double[] a = null, b = null, r0 = null, u, uc, x, xl = null, xu = null; - double[] lc = new double[3]; - double[] lc_rhs = new double[1]; - double[] rinfo = new double[100]; - double[] ruser = new double[1]; - double[] stats = new double[100]; - int[] icola = null, idxr0 = null, irowa = null; - int[] icollc = new int[3]; - int[] irowlc = new int[3]; - int[] iuser = new int[2]; - - System.out.println(" E04RTJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); // skip header - - // Read dimensions of the problem - line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - m = Integer.parseInt(sVal[1]); - nnza = Integer.parseInt(sVal[2]); - - // Allocate memory to read data - a = new double[nnza]; - icola = new int[nnza]; - irowa = new int[nnza]; - idxr0 = new int[n]; - r0 = new double[n]; - b = new double[m]; - xl = new double[n]; - xu = new double[n]; - - // Read problem data - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < nnza; i++) { - irowa[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < nnza; i++) { - icola[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < nnza; i++) { - a[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < m; i++) { - b[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - xl[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - xu[i] = Double.parseDouble(sVal[i]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Compute -2*b'A as linear term in quadratic function - for (j = 0; j < n; j++) { - r0[j] = 0.0; - idxr0[j] = j + 1; - } - for (i = 0; i < nnza; i++) { - r0[icola[i] - 1] = r0[icola[i] - 1] + a[i] * b[irowa[i] - 1]; - } - - // Compute size of multipliers - // One linear constraint in the model will have - // 2 multipliers for both bounds - nnzu = 2 * n + 2; - // No cone constraint in the model, so set nnzuc to 0 - nnzuc = 0; - - // Allocate memory for final results - x = new double[n]; - u = new double[nnzu]; - uc = new double[nnzuc]; - - // Create the problem handle - ifail = 0; - E04RA e04ra = new E04RA(); - e04ra.eval(handle, n, ifail); - handle = e04ra.getHANDLE(); - - // Set quadratic objective function - idqc = -1; - ifail = 0; - E04RT e04rt = new E04RT(); - e04rt.eval(handle, 0.0, n, idxr0, r0, m, nnza, irowa, icola, a, idqc, ifail); - - // Set box constraints - ifail = 0; - E04RH e04rh = new E04RH(); - e04rh.eval(handle, n, xl, xu, ifail); - - // Set linear constraint: x1 + x2 + x3 = 1 - for (j = 0; j < n; j++) { - irowlc[j] = 1; - icollc[j] = j + 1; - lc[j] = 1.0; - } - lc_rhs[0] = 1.0; - ifail = 0; - idlc = 0; - E04RJ e04rj = new E04RJ(); - e04rj.eval(handle, 1, lc_rhs, lc_rhs, 3, irowlc, icollc, lc, idlc, ifail); - - // Turn on monitoring - ifail = 0; - E04ZM e04zm = new E04ZM(); - e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); - - // Set this to True to cause e04ptf to produce intermediate progress output - verbose_output = false; - - if (verbose_output) { - // Require printing of primal and dual solutions at the end of the solve - ifail = 0; - e04zm.eval(handle, "Print Solution = YES", ifail); - } else { - // Turn off printing of intermediate progress output - ifail = 0; - e04zm.eval(handle, "Print Level = 1", ifail); - } - - // Call SOCP interior point solver - cpuser = 0; - iuser[0] = nout; - iuser[1] = 0; - ruser[0] = 1.0e-07; - ifail = -1; - E04PT e04pt = new E04PT(); - MONIT monit = new MONIT(); - e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - ifail = e04pt.getIFAIL(); - - // Print solution if optimal or suboptimal solution found - if ((ifail == 0) || (ifail == 50)) { - System.out.println(" Optimal X:"); - System.out.println(" x_idx Value "); - for (x_idx = 0; x_idx < n; x_idx++) { - System.out.printf(" %5d %11.3e\n", x_idx, x[x_idx]); - } - } - - // Free the handle memory - ifail = 0; - E04RZ e04rz = new E04RZ(); - e04rz.eval(handle, ifail); - } - - public static class MONIT extends E04PT.Abstract_E04PT_MONIT { - - public void eval() { - double tol; - int nout, tol_reached; - - nout = this.IUSER[0]; - tol_reached = this.IUSER[1]; - tol = this.RUSER[0]; - - // If x is close to the solution, print a message - if ((this.RINFO[14] < tol) && (this.RINFO[15] < tol) && (this.RINFO[16] < tol) && (this.RINFO[17] < tol)) { - if (tol_reached == 0) { - System.out.printf("\n monit() reports good approximate solution (tol =%9.2e)\n", tol); - this.IUSER[1] = 1; - } - } - } - } - } diff --git a/simple_examples/int32/E04SAJE.java b/simple_examples/int32/E04SAJE.java deleted file mode 100644 index 325267b..0000000 --- a/simple_examples/int32/E04SAJE.java +++ /dev/null @@ -1,104 +0,0 @@ -import com.nag.routines.E04.E04RC; -import com.nag.routines.E04.E04SA; -import com.nag.routines.E04.E04ZM; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04PT; -import com.nag.routines.E04.E04PTU; - -/** - * E04SA example program text. - */ -public class E04SAJE { - - public static final String fname = "e04saje.opt"; - public static void main(String[] args) { - - long cpuser, handle = 0; - int ifail, n, nnzu, nnzuc, x_idx; - boolean verbose_output; - String ftype; - - double[] rinfo = new double[100]; - double[] ruser = new double[1]; - double[] stats = new double[100]; - double[] u, uc, x; - int[] iuser = new int[1]; - int[] pinfo = new int[100]; - - System.out.println(" E04SAJ Example Program Results"); - - // Read mps file to a handle - ifail = 0; - ftype = "mps"; - E04SA e04sa = new E04SA(); - e04sa.eval(handle, fname, ftype, pinfo, ifail); - handle = e04sa.getHANDLE(); - - // Get problem size from pinfo - pinfo = e04sa.getPINFO(); - n = pinfo[0]; - nnzu = pinfo[10]; - nnzuc = pinfo[11]; - - // Set all variables as continuous - ifail = 0; - E04RC e04rc = new E04RC(); - - int[] x_idx_Arr = new int[n]; - for (x_idx = 1; x_idx <= n; x_idx++) { - x_idx_Arr[x_idx - 1] = x_idx; - } - - e04rc.eval(handle, "CONT", n, x_idx_Arr, ifail); - - // Allocate memory - x = new double[n]; - u = new double[nnzu]; - uc = new double[nnzuc]; - - // Set this to .True. to cause e04ptf to produce intermediate progress output - verbose_output = false; - - E04ZM e04zm = new E04ZM(); - if (verbose_output) { - // Require printing of primal and dual solutions at the end of the solve - ifail = 0; - e04zm.eval(handle, "Print Solution = YES", ifail); - } else { - // Turn off printing of intermediate progress output - ifail = 0; - e04zm.eval(handle, "Print Level = 1", ifail); - } - - // Call SOCP interior point solver - cpuser = 0; - ifail = -1; - E04PT e04pt = new E04PT(); - MONIT monit = new MONIT(); - e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - ifail = e04pt.getIFAIL(); - - // Print solution if optimal or suboptimal solution found - if ((ifail == 0) || (ifail == 50)) { - System.out.println(" Optimal X:"); - System.out.println(" x_idx " + " Value "); - for (x_idx = 0; x_idx < n; x_idx++) { - System.out.printf(" %5d %12.5e\n", x_idx, x[x_idx]); - } - } - - // Free the handle memory - ifail = 0; - E04RZ e04rz = new E04RZ(); - e04rz.eval(handle, ifail); - } - - public static class MONIT extends E04PT.Abstract_E04PT_MONIT { - - public void eval() { - E04PTU e04ptu = new E04PTU(); - e04ptu.eval(this.HANDLE, this.RINFO, this.STATS, this.IUSER, this.RUSER, this.CPUSER, this.INFORM); - this.INFORM = e04ptu.getINFORM(); - } - } -} diff --git a/simple_examples/int32/E04TAJE.java b/simple_examples/int32/E04TAJE.java deleted file mode 100644 index 97cebe2..0000000 --- a/simple_examples/int32/E04TAJE.java +++ /dev/null @@ -1,188 +0,0 @@ -import com.nag.routines.E04.E04TA; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RE; -import com.nag.routines.E04.E04RH; -import com.nag.routines.E04.E04RJ; -import com.nag.routines.E04.E04ZM; -import com.nag.routines.E04.E04MT; -import com.nag.routines.E04.E04MTU; -import com.nag.routines.E04.E04TD; -import com.nag.routines.E04.E04TE; -import com.nag.routines.E04.E04TJ; -import com.nag.routines.E04.E04RW; -import com.nag.routines.E04.E04RZ; - -import java.util.Arrays; - -/** - * E04TA - */ -public class E04TAJE { - - public static void main(String[] args) { - - final double infbnd = 1.0e20; - - long cpuser, handle; - int idlc, ifail, ioflag, liarr, nclin, nnza, nnzu, nvar; - - double[] a, bla, bua, cvec, ulag, x, xl, xu; - - double[] rinfo = new double[100]; - double[] ruser = new double[1]; - double[] stats = new double[100]; - double[] u = new double[1]; - - int[] icola, irowa; - - int[] iuser = new int[1]; - int[] pinfo = new int[100]; - - System.out.println(" E04TAJ Example Program Results\n"); - System.out.println(" Solve the first LP\n"); - - handle = 0; - cpuser = 0; - - // Initialize the handle - nvar = 2; - ifail = 0; - E04RA e04ra = new E04RA(); - e04ra.eval(handle, nvar, ifail); - handle = e04ra.getHANDLE(); - - // Define the objective function - cvec = new double[nvar]; - cvec[0] = 2.0; - cvec[1] = 4.5; - ifail = 0; - E04RE e04re = new E04RE(); - e04re.eval(handle, nvar, cvec, ifail); - - // Box constraints - xl = new double[nvar]; - xu = new double[nvar]; - Arrays.fill(xl, 0.0); - xu[0] = infbnd; - xu[1] = 100.0; - ifail = 0; - E04RH e04rh = new E04RH(); - e04rh.eval(handle, nvar, xl, xu, ifail); - - // Set the linear constraints - idlc = 0; - nclin = 3; - nnza = 6; - bla = new double[nclin]; - bua = new double[nclin]; - irowa = new int[nnza]; - icola = new int[nnza]; - a = new double[nnza]; - Arrays.fill(bla, -infbnd); - bua = new double[] { - 1500.0, 6000.0, 16000.0 - }; - irowa = new int[] { - 1, 1, 2, 2, 3, 3 - }; - icola = new int[] { - 1, 2, 1, 2, 1, 2 - }; - a = new double[] { - 1.2, 3.0, 6.0, 10.0, 40.0, 80.0 - }; - ifail = 0; - E04RJ e04rj = new E04RJ(); - e04rj.eval(handle, nclin, bla, bua, nnza, irowa, icola, a , idlc, ifail); - - // Optional parameters - E04ZM e04zm = new E04ZM(); - e04zm.eval(handle, "Task = Max", ifail); - e04zm.eval(handle, "Print Options = No", ifail); - e04zm.eval(handle, "Print Level = 1", ifail); - e04zm.eval(handle, "Print Solution = X", ifail); - - // Call the LP solver - x = new double[nvar + 1]; - nnzu = 0; - ifail = -1; - E04MT e04mt = new E04MT(); - MONIT monit = new MONIT(); - e04mt.eval(handle, nvar, x ,nnzu, u, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - - // Add a variable - ifail = 0; - E04TA e04ta = new E04TA(); - e04ta.eval(handle, 1, nvar, ifail); - nvar = e04ta.getNVAR(); - - // Box constraint on the new variable - ifail = 0; - E04TD e04td = new E04TD(); - e04td.eval(handle, "variable", nvar, 0.0, 50.0, ifail); - - // Add the linear objective component - ifail = 0; - E04TE e04te = new E04TE(); - e04te.eval(handle, 3, 7.0, ifail); - - // Add linear constraints coefficients - E04TJ e04tj = new E04TJ(); - ifail = 0; - e04tj.eval(handle, 1, 3, 5.0, ifail); - ifail = 0; - e04tj.eval(handle, 2, 3, 12.0, ifail); - ifail = 0; - e04tj.eval(handle, 3, 3, 120.0, ifail); - - System.out.println("\n The new variable has been added, solve the handle again\n"); - - // Solve the problem again - ifail = -1; - e04mt.eval(handle, nvar, x, nnzu, u, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - - // Add a linear constraint - nclin = 1; - bla[0] = -infbnd; - bua[0] = 100.0; - nnza = 2; - irowa[0] = 1; - irowa[1] = 1; - icola[0] = 2; - icola[1] = 3; - a[0] = 1.0; - a[1] = 1.0; - idlc = 0; - e04rj.eval(handle, nclin, bla, bua ,nnza, irowa, icola, a ,idlc, ifail); - - System.out.println("\n The new constraint has been added, solve the handle again\n"); - - // Query the problem sizes to request the Lagrangian multipliers for the - // last solve - ioflag = 1; - liarr = 100; - E04RW e04rw = new E04RW(); - e04rw.eval(handle, "pinfo", ioflag, liarr, pinfo, ifail); - nnzu = pinfo[10]; - ulag = new double[nnzu]; - - // Solve the problem again - ifail = -1; - e04mt.eval(handle, nvar, x ,nnzu, ulag, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - - // Free the memory - ifail = 0; - E04RZ e04rz = new E04RZ(); - e04rz.eval(handle, ifail); - } - - public static class MONIT extends E04MT.Abstract_E04MT_MONIT { - - public void eval() { - E04MTU e04mtu = new E04MTU(); - e04mtu.eval(this.HANDLE, this.RINFO, this.STATS, this.IUSER, this.RUSER, - this.CPUSER, this.INFORM); - this.INFORM = e04mtu.getINFORM(); - } - } -} diff --git a/simple_examples/int32/E04TCJE.java b/simple_examples/int32/E04TCJE.java deleted file mode 100644 index d28d78b..0000000 --- a/simple_examples/int32/E04TCJE.java +++ /dev/null @@ -1,263 +0,0 @@ -import com.nag.routines.E04.E04FFU; -import com.nag.routines.E04.E04GG; -import com.nag.routines.E04.E04GGU; -import com.nag.routines.E04.E04GGV; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RM; -import com.nag.routines.E04.E04TB; -import com.nag.routines.E04.E04TC; -import com.nag.routines.E04.E04TD; -import com.nag.routines.E04.E04ZM; -import java.io.BufferedReader; -import java.io.FileReader; -import java.text.NumberFormat; -import java.util.logging.Level; -import java.util.logging.Logger; -import java.util.Arrays; - -/** - * E04TC example program text. - * @author Mo - */ -public class E04TCJE { - - public static void main(String[] args) { - double[] rx, x, udt, udy; - double[] rinfo = new double[100], ruser = new double[0], - stats = new double[100]; - int ifail, isparse, nnzrd, nres, nvar, udnres; - int[] icolrd = new int[0], irowrd = new int[0], iuser = new int[0]; - int[] idx; - long cpuser, handle; // c_ptr - LSQFUN lsqfun = new LSQFUN(); - LSQGRD lsqgrd = new LSQGRD(); - LSQHES lsqhes = new LSQHES(); - LSQHPRD lsqhprd = new LSQHPRD(); - MONIT monit = new MONIT(); - - /* Header */ - System.out.printf(" E04TCJ Example Program Results\n\n"); - try { - - handle = 0L; - cpuser = 0L; - - BufferedReader br = new BufferedReader(new FileReader(args[0])); - String line = br.readLine(); // read the header - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - String[] data = line.split("\\s+"); - - /* Read number of residuals */ - nres = Integer.parseInt(data[0]); - - udnres = nres; - - /* Allocate memory */ - udt = new double[nres]; - udy = new double[nres]; - - /* Read observations */ - - for (int ii = 0; ii < nres; ii += 3) { - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - for (int jj = 0; jj < 3; ++jj) { - udt[ii+jj] = Double.parseDouble(data[jj]); - } - } - - for (int ii = 0; ii < nres; ii += 3) { - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - for (int jj = 0; jj < 3; ++jj) { - udy[ii+jj] = Double.parseDouble(data[jj]); - } - } - - /* try to fit the model */ - /* f(t) = at^2 + bt + c + d sin(omega t) */ - /* To the data {(t_i, y_i)} */ - nvar = 5; - - /* Initialize the NAG optimization handle */ - E04RA e04ra = new E04RA(); - ifail = 0; // hard fail - e04ra.eval(handle, nvar, ifail); - handle = e04ra.getHANDLE(); - - /* Define a dense nonlinear least-squares objective function */ - /* (isparse = 0 => the sparsity pattern of the Jacobian */ - /* doesn't need to be defined) */ - E04RM e04rm = new E04RM(); - isparse = 0; - nnzrd = 1; - e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); - - /* Set some optional parameters to control the output of the solver */ - E04ZM e04zm = new E04ZM(); - e04zm.eval(handle, "Print Options = No", ifail); - e04zm.eval(handle, "Print Solution = X", ifail); - e04zm.eval(handle, "Print Level = 1", ifail); - - System.out.println("First solve the problem with the outliers"); - System.out.println(); - System.out.println("--------------------------------------------------------"); - - /* Call the solver */ - E04GG e04gg = new E04GG(); - x = new double[nvar]; - for (int ii = 0; ii < nvar; ++ii) { - x[ii] = 1.0; - } - rx = new double[nres]; - iuser = new int[] {udnres}; - ruser = new double[2 * udnres];; - for (int ii = 0; ii < udnres; ii++) { - ruser[ii] = udt[ii]; - ruser[udnres + ii] = udy[ii]; - } - ifail = -1; - e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, - rx, rinfo, stats, iuser, ruser, cpuser, ifail); - - System.out.println("--------------------------------------------------------"); - System.out.println(); - System.out.println("Now remove the outlier residuals from the problem handle"); - System.out.println(); - System.out.println("--------------------------------------------------------"); - - /* Disable the two outlier residuals */ - E04TC e04tc = new E04TC(); - idx = new int[] {10, 20}; - e04tc.eval(handle, "NLS", 2, idx, ifail); - - /* Solve the problem again */ - for (int ii = 0; ii < nvar; ++ii) { - x[ii] = 1.0; - } - ifail = -1; - e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, - rx, rinfo, stats, iuser, ruser, cpuser, ifail); - - System.out.println("--------------------------------------------------------"); - System.out.println(); - System.out.println("Assuming the outliers points are measured again"); - System.out.println("we can enable the residuals and adjust the values"); - System.out.println(); - System.out.println("--------------------------------------------------------"); - - /* Fix the first variable to its known value of 0.3 */ - /* enable the residuals and adjust the values in the data */ - E04TD e04td = new E04TD(); - e04td.eval(handle, "variable", 1, 0.3, 0.3, ifail); - E04TB e04tb = new E04TB(); - e04tb.eval(handle, "NLS", 2, idx, ifail); - udy[9] = -0.515629; - udy[19] = 0.54920; - - /* Solve the problem */ - for (int ii = 0; ii < nvar; ++ii) { - x[ii] = 1.0; - } - ifail = -1; - e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, - rx, rinfo, stats, iuser, ruser, cpuser, ifail); - - } - catch (Exception ex) { - Logger.getLogger(E04TCJE.class.getName()).log(Level.SEVERE, null, ex); - } - - } - - public static class LSQFUN extends E04GG.Abstract_E04GG_LSQFUN { - - public void eval() { - int udnres; - double[] udt, udy; - - /* Unpack the user data from cpuser */ - udnres = this.IUSER[0]; - udt = Arrays.copyOfRange(this.RUSER, 0, udnres); - udy = Arrays.copyOfRange(this.RUSER, udnres, udnres + udnres); - - for (int i = 0; i < this.NRES; i++) { - this.RX[i] = 0.0; - } - - for (int i = 0; i < this.NRES; i++) { - this.RX[i] = (this.X[0] * Math.pow(udt[i],2) + this.X[1] * udt[i] + - this.X[2] + this.X[3] * Math.sin(this.X[4] * udt[i])) - - udy[i]; - } - - this.INFORM = 0; - - } - - } - - public static class LSQGRD extends E04GG.Abstract_E04GG_LSQGRD { - - public void eval() { - int udnres; - double[] udt, udy; - - /* Unpack the user data from cpuser */ - udnres = this.IUSER[0]; - udt = Arrays.copyOfRange(this.RUSER, 0, udnres); - udy = Arrays.copyOfRange(this.RUSER, udnres, udnres + udnres); - - for (int i = 1; i <= this.NRES; i++) { - this.RDX[((i-1)*this.NVAR + 1) - 1] = Math.pow(udt[i-1],2); - this.RDX[((i-1)*this.NVAR + 2) - 1] = udt[i-1]; - this.RDX[((i-1)*this.NVAR + 3) - 1] = 1.0; - this.RDX[((i-1)*this.NVAR + 4) - 1] = Math.sin(this.X[4] * udt[i-1]); - this.RDX[((i-1)*this.NVAR + 5) - 1] = this.X[3] * udt[i-1] * - Math.cos(this.X[4] * udt[i-1]); - - } - - this.INFORM = 0; - - } - - } - - public static class LSQHES extends E04GG.Abstract_E04GG_LSQHES { - - public void eval() { - E04GGU e04ggu = new E04GGU(); - e04ggu.eval(this.NVAR, this.X, this.NRES, this.LAMBDA, this.HX, - this.INFORM, this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ggu.getINFORM(); - } - - } - - public static class LSQHPRD extends E04GG.Abstract_E04GG_LSQHPRD { - - public void eval() { - E04GGV e04ggv = new E04GGV(); - e04ggv.eval(this.NVAR, this.X, this.Y, this.NRES, this.HXY, this.INFORM, - this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ggv.getINFORM(); - } - - } - - public static class MONIT extends E04GG.Abstract_E04GG_MONIT { - - public void eval() { - E04FFU e04ffu = new E04FFU(); - e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, - this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ffu.getINFORM(); - } - - } - -} diff --git a/simple_examples/int32/E04UCJE.java b/simple_examples/int32/E04UCJE.java deleted file mode 100644 index e43d457..0000000 --- a/simple_examples/int32/E04UCJE.java +++ /dev/null @@ -1,211 +0,0 @@ -import com.nag.routines.E04.E04UC; -import com.nag.routines.E04.E04WB; -import com.nag.routines.E04.E04UE; -import com.nag.routines.F06.DGEMV; -import java.util.Arrays; - -/** - * E04UC example program text. - * @author joed - */ -public class E04UCJE { - - public static final double ONE = 1.0, ZERO = 0.0; - public static final int INC1 = 1, LCWSAV = 1, LIWSAV = 610, LLWSAV = 120, LRWSAV = 475; - public static CONFUN confun = new CONFUN(); - public static OBJFUN objfun = new OBJFUN(); - - public static void main(String[] args) { - - /* Local Scalars */ - double objf; - int i, ifail, inform, iter, j, lda, ldcj, ldr, liwork, lwork, n, nclin, ncnln, sda, sdcjac; - /* Local Arrays */ - double[] a, bl, bu, c, cjac, clamda, objgrd, r, work, x; - double[] ruser = new double[1], rwsav = new double[LRWSAV]; - int[] istate, iwork; - int[] iuser = new int[1], iwsav = new int[LIWSAV]; - boolean[] lwsav = new boolean[LLWSAV]; - String[] cwsav = new String[LCWSAV]; - Arrays.fill(cwsav, - " "); - - System.out.println(" E04UCJ Example Program Results"); - - /* Set scalars */ - n = 4; - nclin = 1; - ncnln = 2; - liwork = 3*n + nclin + 2*ncnln; - lda = Math.max(1, nclin); - sda = (nclin > 0) ? n : 1; - ldcj = Math.max(1, ncnln); - sdcjac = (ncnln > 0) ? n : 1; - ldr = n; - - if (ncnln == 0 && nclin > 0) { - lwork = 2*n*n + 20*n + 11*nclin; - } - else if (ncnln > 0 && nclin >= 0) { - lwork = 2*n*n + n*nclin + 2*n*ncnln + 20*n + 11*nclin + 21*ncnln; - } - else { - lwork = 20*n; - } - - /* Set arrays */ - istate = new int[n + nclin + ncnln]; - iwork = new int[liwork]; - c = new double[Math.max(1, ncnln)]; - cjac = new double[ldcj * sdcjac]; - clamda = new double[n + nclin + ncnln]; - objgrd = new double[n]; - r = new double[ldr * n]; - work = new double[lwork]; - - a = new double[]{1.0, 1.0, 1.0, 1.0}; - bl = new double[]{1.0, 1.0, 1.0, 1.0, -1.0E+25, -1.0E+25, 25.0}; - bu = new double[]{5.0, 5.0, 5.0, 5.0, 20.0, 40.0, 1.0E+25}; - x = new double[]{1.0, 5.0, 5.0, 1.0}; - - /* Initialise E04UC */ - E04WB e04wb = new E04WB(); - ifail = 0; - e04wb.eval("E04UCA", cwsav, LCWSAV, lwsav, LLWSAV, iwsav, LIWSAV, rwsav, LRWSAV, ifail); - E04UE e04ue = new E04UE(); - inform = 0; - e04ue.eval("Print Level = 10", lwsav, iwsav, rwsav, inform); - - /* Solve the problem */ - E04UC e04uc = new E04UC(); - iter = 0; - objf = 0.0; - ifail = -1; - e04uc.eval(n, nclin, ncnln, lda, ldcj, ldr, a, bl, bu, confun, objfun, iter, istate, c, - cjac, clamda, objf, objgrd, r, x, iwork, liwork, work, lwork, iuser, ruser, - lwsav, iwsav, rwsav, ifail); - iter = e04uc.getITER(); - objf = e04uc.getOBJF(); - ifail = e04uc.getIFAIL(); - - if ((0 >= ifail && ifail <= 6) || ifail == 8) { - System.out.println(); - System.out.println(" Varbl Istate Value Lagr Mult"); - System.out.println(); - - for (i = 0; i < n; i++) { - System.out.printf(" V %3d %3d %13.6G %13.4G\n", i+1, istate[i], x[i], clamda[i]); - } - - if (nclin > 0) { - - /* A*x --> work. - * The NAG name equivalent of DGEMV is F06PA */ - DGEMV dgemv = new DGEMV(); - dgemv.eval("N", nclin, n, ONE, a, lda, x, INC1, ZERO, work, INC1); - - System.out.println(); - System.out.println(); - System.out.println(" L Con Istate Value Lagr Mult"); - System.out.println(); - - for (i = n; i < n+nclin; i++) { - j = i - n; - System.out.printf(" L %3d %3d %13.6G %13.4G\n", j+1, istate[i], work[j], clamda[i]); - } - - } - - if (ncnln > 0) { - System.out.println(); - System.out.println(); - System.out.println(" N Con Istate Value Lagr Mult"); - System.out.println(); - - for (i = n+nclin; i < n+nclin+ncnln; i++) { - j = i - n - nclin; - System.out.printf(" N %3d %3d %13.6G %13.4G\n", j+1, istate[i], c[j], clamda[i]); - } - - } - - System.out.println(); - System.out.println(); - System.out.printf(" Final objective value = %11.7G\n", objf); - - } - - } - - /** Routine to evaluate objective function and its 1st derivatives. */ - public static class OBJFUN extends E04UC.Abstract_E04UC_OBJFUN { - - public void eval() { - - if (MODE == 0 || MODE == 2) { - OBJF = X[0] * X[3] * (X[0]+X[1]+X[2]) + X[2]; - } - - if (MODE == 1 || MODE == 2) { - OBJGRD[0] = X[3] * (X[0]+X[0]+X[1]+X[2]); - OBJGRD[1] = X[0] * X[3]; - OBJGRD[2] = X[0] * X[3] + ONE; - OBJGRD[3] = X[0] * (X[0]+X[1]+X[2]); - } - - } - - } - - /** Routine to evaluate the nonlinear constraints and their 1st derivatives. */ - public static class CONFUN extends E04UC.Abstract_E04UC_CONFUN { - - public void eval() { - - if (NSTATE == 1) { - - /* First call to CONFUN. Set all Jacobian elements to zero. - * Note that this will only work when 'Derivative Level = 3' - * (the default; see Section 11.2). */ - - for (int i = 0; i < CJAC.length; ++i) { - CJAC[i] = 0; - } - - } - - if (NEEDC[0] > 0) { - - if (MODE == 0 || MODE == 2) { - C[0] = X[0]*X[0] + X[1]*X[1] + X[2]*X[2] + X[3]*X[3]; - } - - if (MODE == 1 || MODE == 2) { - CJAC[0] = X[0] + X[0]; - CJAC[LDCJ] = X[1] + X[1]; - CJAC[2*LDCJ] = X[2] + X[2]; - CJAC[3*LDCJ] = X[3] + X[3]; - } - - } - - if (NEEDC[1] > 0) { - - if (MODE == 0 || MODE == 2) { - C[1] = X[0]*X[1]*X[2]*X[3]; - } - - if (MODE == 1 || MODE == 2) { - CJAC[1] = X[1]*X[2]*X[3]; - CJAC[1+LDCJ] = X[0]*X[2]*X[3]; - CJAC[1+2*LDCJ] = X[0]*X[1]*X[3]; - CJAC[1+3*LDCJ] = X[0]*X[1]*X[2]; - } - - } - - } - - } - -} diff --git a/simple_examples/int32/E04YAJE.java b/simple_examples/int32/E04YAJE.java deleted file mode 100644 index 72d80da..0000000 --- a/simple_examples/int32/E04YAJE.java +++ /dev/null @@ -1,112 +0,0 @@ -import com.nag.routines.E04.E04YA; - - -/** - * E04YA example program text. - * @author joed - */ -public class E04YAJE { - - public static LSQFUN lsqfun = new LSQFUN(); - public static final int LIW = 1, MDEC = 15, NDEC = 3; - public static final int LDFJAC = MDEC; - public static final int LW = 3*NDEC + MDEC + MDEC*NDEC; - public static double[] t = new double[MDEC*NDEC], y = new double[MDEC]; - - /** Routine to evaluate the residuals and their 1st derivatives. */ - public static class LSQFUN extends E04YA.Abstract_E04YA_LSQFUN { - - public void eval() { - double denom, dummy; - int i; - - for (i = 0; i < M; i++) { - denom = (XC[1] * t[MDEC + i]) + (XC[2] * t[2*MDEC + i]); - - if (IFLAG != 1) { - FVEC[i] = XC[0] + (t[i]/denom) - y[i]; - } - - if (IFLAG != 0) { - FJAC[i] = 1.0; - dummy = -1.0/(denom*denom); - FJAC[MDEC + i] = t[i] * t[MDEC + i] * dummy; - FJAC[2*MDEC + i] = t[i] * t[2*MDEC + i] * dummy; - } - - } - } - - } - - public static void main(String[] args) { - int i, ifail, m, n; - double[] fjac = new double[LDFJAC*NDEC], fvec = new double[MDEC], - w = new double[LW], x = new double[NDEC]; - int[] iw = new int[LIW]; - - System.out.println(" E04YAJ Example Program Results"); - - n = NDEC; - m = MDEC; - - /* Observations of TJ (J = 1, 2, ..., n) are held in T(I, J) - * (I = 1, 2, ..., m) */ - - y = new double[]{0.14, 0.18, 0.22, 0.25, 0.29, 0.32, 0.35, 0.39, 0.37, - 0.58, 0.73, 0.96, 1.34, 2.10, 4.39}; - for (i = 0; i < m; i++) { - t[i] = i + 1.0; - t[m + i] = 15.0 - i; - t[2*m + i] = -Math.abs(i - 7.0) + 8.0; - } - - /* Set up an arbitrary point at which to check the 1st derivatives */ - - x[0] = 0.19; - x[1] = -1.34; - x[2] = 0.88; - - System.out.println(); - System.out.println("The test point is"); - System.out.printf(" "); - for (i = 0; i < n; i++) { - System.out.printf("%10.5f", x[i]); - } - System.out.printf("\n"); - - E04YA e04ya = new E04YA(); - ifail = -1; - e04ya.eval(m, n, lsqfun, x, fvec, fjac, LDFJAC, iw, LIW, w, LW, ifail); - ifail = e04ya.getIFAIL(); - - if (ifail >= 0 && ifail != 1) { - - switch (ifail) { - case 0: - System.out.println(); - System.out.println("1st derivatives are consistent with residual values"); - break; - case 2: - System.out.println(); - System.out.println("Probable error in calculation of 1st derivatives"); - break; - default: - } - - System.out.println(); - System.out.println("At the test point, LSQFUN gives"); - System.out.println(); - System.out.println(" Residuals 1st derivatives"); - for (i = 0; i < m; i++) { - System.out.printf(" %15.3E", fvec[i]); - System.out.printf("%15.3E", fjac[i]); - System.out.printf("%15.3E", fjac[LDFJAC + i]); - System.out.printf("%15.3E\n", fjac[2*LDFJAC + i]); - } - - } - - } - -} diff --git a/simple_examples/int32/F01ADJE.java b/simple_examples/int32/F01ADJE.java deleted file mode 100644 index 4167f71..0000000 --- a/simple_examples/int32/F01ADJE.java +++ /dev/null @@ -1,39 +0,0 @@ -import com.nag.routines.F01.F01AD; -import com.nag.routines.X04.X04CA; - - -/** - * F01AD example program text. - * @author joed - */ -public class F01ADJE { - - public static void main(String[] args) { - - int i, ifail, lda, n; - double[] a; - - System.out.println(" F01ADJ Example Program Results"); - System.out.println(); - - n = 4; - lda = n + 1; - a = new double[] { - 5.0, 7.0, 6.0, 5.0, 0.0, - 7.0, 10.0, 8.0, 7.0, 0.0, - 6.0, 8.0, 10.0, 9.0, 0.0, - 5.0, 7.0, 9.0, 10.0, 0.0 - }; - - F01AD f01ad = new F01AD(); - ifail = -1; - f01ad.eval(n, a, lda, ifail); - ifail = f01ad.getIFAIL(); - - /* Print the result matrix A */ - X04CA x04ca = new X04CA(); - x04ca.eval("L", "B", lda, n, a, lda, "Lower triangle of inverse", ifail); - - } - -} diff --git a/simple_examples/int32/F01CKJE.java b/simple_examples/int32/F01CKJE.java deleted file mode 100644 index ed3ffa2..0000000 --- a/simple_examples/int32/F01CKJE.java +++ /dev/null @@ -1,60 +0,0 @@ -import com.nag.routines.F01.F01CK; -import com.nag.routines.X04.X04CB; -import java.util.logging.Level; -import java.util.logging.Logger; - - -/** - * F01CK example program text. - * @author ludovic - */ -public class F01CKJE { - - public static void main(String[] args) { - - double[] a, b, c, z; - int n, p, m, iz, opt; - int ifail; - - m = 3; - n = p = 2; - iz = 1; - opt = 1; - a = new double[n * p]; - b = new double[n * m]; - c = new double[m * p]; - z = new double[iz]; - ifail = 0; - - System.out.println(" F01CKJ Example Program Results"); - - // Initialising b and c - - for (int i = 0; i < m; ++i) { - for (int j = 0; j < n; ++j) { - b[j+i*n] = (double) (i+j); - } - for (int j = 0; j < p; ++j) { - c[i+j*m] = (double) (i+j); - } - } - - F01CK f01ck = new F01CK(a, b, c, n, p, m, z, iz, opt, ifail); - f01ck.eval(); - ifail = f01ck.getIFAIL(); - String title = "Matrix A"; - System.out.println(); - System.out.flush(); - ifail = 0; - - String matrix = "G", diag = "N", nolabel = "N", form = "F7.1"; - String[] dummy = {" "}; - int ncols = 80; - int indent = 0; - - (new X04CB()).eval(matrix,diag,n,p,a,n,form,title,nolabel,dummy,nolabel, - dummy,ncols,indent, ifail); - - } - -} diff --git a/simple_examples/int32/F01CRJE.java b/simple_examples/int32/F01CRJE.java deleted file mode 100644 index c10b284..0000000 --- a/simple_examples/int32/F01CRJE.java +++ /dev/null @@ -1,47 +0,0 @@ -import com.nag.routines.F01.F01CR; -import java.util.logging.Level; -import java.util.logging.Logger; - - -/** - * F01CR example program text. - * @author ludovic - */ -public class F01CRJE { - - public static void main(String[] args) { - System.out.println(" F01CRJ Example Program Results"); - double[] a; - int m,n,mn,lmove; - int[] move; - int ifail; - n = 7; - m = 3; - mn = m*n; - lmove = (m + n)/2; - a = new double[mn]; - move = new int[lmove]; - ifail = 1; - - for (int i = 0; i < mn; i++) { - a[i] = i+1.0; - } - - F01CR f01cr = new F01CR(a, m, n, mn, move, lmove, ifail); - f01cr.eval(); - - System.out.println(); - int index = 0; - for (int i = 0; i < mn; ++i) { - System.out.printf(" %7.1f",a[i]); - ++index; - if (index == 7) { - System.out.println(); - index = 0; - } - } - System.out.println(); - - } - -} diff --git a/simple_examples/int32/F01DGJE.java b/simple_examples/int32/F01DGJE.java deleted file mode 100644 index 107137f..0000000 --- a/simple_examples/int32/F01DGJE.java +++ /dev/null @@ -1,72 +0,0 @@ -import com.nag.routines.F01.F01DG; -import com.nag.routines.X04.X04CA; - -/** - * F01DG example program text. - * @author joed - * @since 27.0.0.0 - */ -public class F01DGJE { - - /** - * F01DG example main program. - */ - public static void main(String[] args) { - - F01DG f01dg = new F01DG(); - X04CA x04ca = new X04CA(); - double alpha; - int i, ifail, lda, ldb, n; - String side, transa, uplo; // Length 1 - double[] a, b; - - System.out.println("F01DGJ Example Program Results\n"); - - // Values for side, uplo and transa - side = "L"; - uplo = "U"; - transa = "T"; - - // Order of square matrices - n = 4; - lda = n; - ldb = n; - - // Scaling constant alpha - alpha = 0.4; - - // Set input matrices (column-major order) - a = new double[]{ - 1.5, 0.0, 0.0, 0.0, - 2.3, 3.4, 0.0, 0.0, - 6.7, 5.4, 8.1, 0.0, - 1.9, 8.6, 2.0, 5.9 - }; - b = new double[]{ - 3.5, 0.0, 0.0, 0.0, - 2.1, 5.6, 0.0, 0.0, - 4.0, 2.1, 1.7, 0.0, - 2.1, 2.5, 1.1, 7.4 - }; - - /* ifail: behaviour on error exit - * = 0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft */ - ifail = 0; - - // Find B=alpha*A*B - f01dg.eval(side, uplo, transa, n, alpha, a, lda, b, ldb, ifail); - ifail = f01dg.getIFAIL(); - - // Print the solution - if (ifail == 0) { - if (transa.equals("N")) { - x04ca.eval(uplo, "N", n, n, b, n, "Solution matrix B", ifail); - } - else { - x04ca.eval("G", "N", n, n, b, n, "Solution matrix B", ifail); - } - } - - } - -} diff --git a/simple_examples/int32/F01ELJE.java b/simple_examples/int32/F01ELJE.java deleted file mode 100644 index 9986c6c..0000000 --- a/simple_examples/int32/F01ELJE.java +++ /dev/null @@ -1,89 +0,0 @@ -import com.nag.routines.F01.F01EL; -import com.nag.routines.Routine; -import com.nag.routines.X04.X04CA; -import com.nag.types.NAGComplex; -import com.nag.types.NAGComplexInterface; -import java.util.Arrays; - -/** - * F01EL example program text. - * @author joed - */ -public class F01ELJE { - - public static void main(String[] args) { - - F01EL f01el = new F01EL(); - X04CA x04ca = new X04CA(); - - FCos2 fcos2 = new FCos2(); - double imnorm; - int i, ifail, iflag, lda, n; - double[] a, ruser = new double[1]; - int[] iuser = new int[1]; - - Routine.setComplex(new NAGComplex()); - - System.out.println(" F01ELJ Example Program Results"); - System.out.println(); - - // Problem data - n = 4; - a = new double[] { - 3.0, -1.0, 0.0, 2.0, 0.0, 1.0, 2.0, 1.0, 1.0, 3.0, 2.0, -1.0, 2.0, 1.0, 1.0, 1.0 - }; - - // Find f(A) - lda = n; - iflag = 0; - imnorm = 0; - ifail = 0; - f01el.eval(n, a, lda, fcos2, iuser, ruser, iflag, imnorm, ifail); - - // Print solution - ifail = 0; - x04ca.eval("G", "N", n, n, a, lda, "F(A) = COS(2A)", ifail); - - // Print the norm of the imaginary part to check it is small - System.out.println(); - System.out.println(" Imnorm = " + imnorm); - - } - - public static class FCos2 extends F01EL.Abstract_F01EL_F { - - /* These methods should really be part of an extension of NAGComplex. */ - - private NAGComplex complexCos(NAGComplexInterface z) { - NAGComplex cosz = new NAGComplex(); - cosz.setRe(Math.cos(z.getRe()) * Math.cosh(z.getIm())); - cosz.setIm(-Math.sin(z.getRe()) * Math.sinh(z.getIm())); - return cosz; - } - - private NAGComplex complexMult(NAGComplexInterface a, NAGComplexInterface b) { - NAGComplex ab = new NAGComplex(); - ab.setRe((a.getRe()*b.getRe()) - (a.getIm()*b.getIm())); - ab.setIm((a.getRe()*b.getIm()) + (a.getIm()*b.getRe())); - return ab; - } - - /* Calculate F(A) = COS(2A) */ - - public void eval() { - - NAGComplex two = new NAGComplex(); - two.setRe(2.0); - two.setIm(0.0); - - for (int i = 0; i < this.NZ; i++) { - this.FZ[i] = (NAGComplex) complexCos(complexMult(two, this.Z[i])); - } - - this.IFLAG = 0; - - } - - } - -} diff --git a/simple_examples/int32/F01EMJE.java b/simple_examples/int32/F01EMJE.java deleted file mode 100644 index 716a7b5..0000000 --- a/simple_examples/int32/F01EMJE.java +++ /dev/null @@ -1,106 +0,0 @@ -import com.nag.routines.F01.F01EM; -import com.nag.routines.X04.X04CA; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; - -/** - * F01EMJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class F01EMJE{ - - /** - * F01EMJ Example main program - */ - public static void main(String[] args){ - double imnorm = 0; - int ifail, iflag = 0, lda, n; //placeholders - double[] a, ruser; - int[] iuser; - - ruser = new double[1]; - iuser = new int[1]; - - System.out.println("F01EMJ Example Program Results"); - System.out.println(); - - //Tell wrapper what type of complex type is going to be used - Routine.setComplex(new NAGComplex()); - - //Problem size - n = 4; - lda = n; - - //Allocate - a = new double[lda * n]; - - //Data - //A = ( 1, 0,-2, 1) - // (-1, 2, 0, 1) - // ( 2, 0, 1, 0) - // ( 1, 0,-2, 2) - a[0] = 1; - a[1] = -1; - a[2] = 2; - a[3] = 1; - a[4] = 0; - a[5] = 2; - a[6] = 0; - a[7] = 0; - a[8] = -2; - a[9] = 0; - a[10] = 1; - a[11] = -1; - a[12] = 1; - a[13] = 1; - a[14] = 0; - a[15] = 2; - - //Find f(A) - ifail = 0; - //Create fexp2 object to pass to wrapper - fexp2 f = new fexp2(); - F01EM f01em = new F01EM(n, a, lda, f, iuser, ruser, iflag, imnorm, ifail); - f01em.eval(); - - //Print solution - ifail = 0; - X04CA x04ca = new X04CA("G", "N", n, n, a, lda, "F(A) = EXP(2A)", ifail); - x04ca.eval(); - - //Print the norm oof the imaginary part to check if it small - System.out.println(); - System.out.printf("Imnorm = %.2f\n", imnorm); - } - - /** - * fexp2 class representing f routine argument - */ - public static class fexp2 extends F01EM.Abstract_F01EM_F{ - public void eval(){ - NAGComplex two = new NAGComplex(2, 0); - NAGComplex twoPowM = new NAGComplex(2, 0); - - twoPowM.setRe(Math.pow(2, this.M)); - - for(int i = 0; i < this.NZ; i++){ - this.FZ[i] = NAGComplex.multiply(twoPowM, this.complexExp(NAGComplex.multiply(two, (NAGComplex) this.Z[i]))); - } - - //Set iflag nonzero to terminate exectuion for any reason - this.IFLAG = 0; - } - - //Raises e ^ z where z is a complex number - //Uses eulers formula; - //c ^ (a + bi) = c^a * ((cos(bln(c))) + isin(bln(c))) - public NAGComplex complexExp(NAGComplex x){ - NAGComplex tmp = new NAGComplex(); - tmp.setRe(Math.cos(x.getIm())); - tmp.setIm(Math.sin(x.getIm())); - NAGComplex ans = NAGComplex.multiply(new NAGComplex(Math.exp(x.getRe()), 0), tmp); - return ans; - } - } -} diff --git a/simple_examples/int32/F02EKJE.java b/simple_examples/int32/F02EKJE.java deleted file mode 100644 index 3737022..0000000 --- a/simple_examples/int32/F02EKJE.java +++ /dev/null @@ -1,227 +0,0 @@ -import com.nag.routines.F02.F02EK; -import com.nag.routines.F12.F12AD; -import com.nag.routines.Routine; -import com.nag.routines.X02.X02AJ; -import com.nag.types.NAGComplex; -import com.nag.types.NAGComplexInterface; -import java.util.Arrays; - -/** - * F02EK example program text. - * @author joed - */ -public class F02EKJE { - - public static MYMONIT mymonit = new MYMONIT(); - public static MYOPTION myoption = new MYOPTION(); - - public static void main(String[] args) { - F02EK f02ek = new F02EK(); - X02AJ x02aj = new X02AJ(); - double h, rho, s, sigma; - int ifail, imon, k, ldv, maxit, mode, n, nconv, ncv, nev, nnz, nx, - prtlvl; - NAGComplex complex = new NAGComplex(); - double[] a, resid, v, ruser = new double[1]; - int[] icolzp, irowix, iuser = new int[4]; - NAGComplex[] w; - - Routine.setComplex(complex); - - System.out.println(" F02EKJ Example Program Results"); - System.out.println(); - - nx = 10; - nev = 4; - ncv = 20; - rho = 10.0; - sigma = 5.5; - - n = nx * nx; - nnz = 3*n - 2; - ldv = n; - - resid = new double[ncv]; - a = new double[nnz]; - icolzp = new int[n + 1]; - irowix = new int[nnz]; - w = (NAGComplex[]) complex.getArrayOfInstances(ncv); - v = new double[ldv * ncv]; - - // Construct A in compressed column storage (CCS) format where: - // A{ i , i } = 2 + i - // A{i+1, i } = 3 - // A{ i , i+1} = rho/(2n+2) - 1 - - h = 1.0 / (double)(n+1); - s = (rho * h / 2.0) - 1.0; - - a[0] = 2.0 + 1.0; - a[1] = 3.0; - icolzp[0] = 1; - irowix[0] = 1; - irowix[1] = 2; - k = 3; - - for (int i = 1; i < n - 1; i++) { - icolzp[i] = k; - irowix[k - 1] = i; - irowix[k] = i + 1; - irowix[k + 1] = i + 2; - a[k - 1] = s; - a[k] = 2.0 + (double)(i + 1); - a[k + 1] = 3.0; - k += 3; - } - - icolzp[n - 1] = k; - icolzp[n] = k + 2; - irowix[k - 1] = n - 1; - irowix[k] = n; - a[k - 1] = s; - a[k] = 2.0 + (double)(n); - - // Set some options via iuser array and return routine argument OPTION - // iuser[0] = print level - // iuser[1] = iteration limit - // iuser[2] > 0 means shifted-invert mode - // iuser[3] > 0 means print monitoring info - - prtlvl = 0; - maxit = 500; - mode = 1; - imon = 1; - - if (prtlvl > 0) { - imon = 0; - } - - iuser[0] = prtlvl; - iuser[1] = maxit; - iuser[2] = mode; - iuser[3] = imon; - - nconv = 0; // placeholder value, nconv is output only - ifail = 0; // hard exit on error - - f02ek.eval( - n, nnz, a, icolzp, irowix, nev, ncv, sigma, mymonit, myoption, - nconv, w, v, ldv, resid, iuser, ruser, ifail - ); - ifail = f02ek.getIFAIL(); - nconv = f02ek.getNCONV(); - - System.out.println(); - System.out.printf( - " The %4d Ritz values of closest to %13.5E are:\n", nconv, sigma - ); - - // Get machine precision - double mp = x02aj.eval(); - - for (int i = 0; i < nconv; i++) { - if (resid[i] > (double)(100*n*mp)) { - System.out.printf( - " %8d ( %13.5E , %13.5E ) %13.5E\n", - i + 1, w[i], resid[i] - ); - } - else { - System.out.printf( - " %8d ( %13.5E , %13.5E )\n", - i + 1, w[i].getRe(), w[i].getIm() - ); - } - } - - } - - public static class MYOPTION extends F02EK.Abstract_F02EK_OPTION { - - public void eval() { - F12AD f12ad = new F12AD(); - int ifail1; - String rec = " "; - - this.ISTAT = 0; - - if (this.IUSER[0] > 0) { - System.out.printf("Print Level=%5d\n", this.IUSER[0]); - ifail1 = 1; - f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[1] > 100) { - System.out.printf("Iteration Limit=%5d\n", this.IUSER[1]); - ifail1 = 1; - f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[2] > 0) { - ifail1 = 1; - f12ad.eval( - "Shifted Inverse Real ", this.ICOMM, this.COMM, ifail1 - ); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - } - - } - - public static class MYMONIT extends F02EK.Abstract_F02EK_MONIT { - - public NAGComplexInterface[] getW() { - return this.W; - } - - public void eval() { - - if (this.IUSER[3] > 0) { - - if (this.NITER == 1 && this.IUSER[2] > 0) { - System.out.printf( - " Arnoldi basis vectors used:%4d\n", this.NCV - ); - System.out.printf( - " The following Ritz values (mu) are related to the\n" - + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" - ); - } - - System.out.println(); - System.out.printf(" Iteration number %4d\n", this.NITER); - System.out.printf( - " Ritz values converged so far (%4d) and their Ritz" - + " estimates:\n", this.NCONV - ); - - for (int i = 0; i < this.NCONV; i++) { - System.out.printf( - " %4d (%13.5E,%13.5E) %13.5E\n", - i + 1, this.W[i].getRe(), this.W[i].getIm(), - this.RZEST[i] - ); - } - - System.out.printf(" Next (unconverged) Ritz value:\n"); - - System.out.printf( - " %4d (%13.5E,%13.5E)\n", - this.NCONV + 1, this.W[NCONV].getRe(), this.W[NCONV].getIm() - ); - - } - - this.ISTAT = 0; - - } - - } - -} diff --git a/simple_examples/int32/F02FKJE.java b/simple_examples/int32/F02FKJE.java deleted file mode 100644 index 0dd7ab9..0000000 --- a/simple_examples/int32/F02FKJE.java +++ /dev/null @@ -1,230 +0,0 @@ -import com.nag.routines.F02.F02FK; -import com.nag.routines.F12.F12FD; -import com.nag.routines.X04.X04AB; -import com.nag.routines.X04.X04CA; -import java.util.Arrays; - -/** - * F02FK example program text. - * @author joed - */ -public class F02FKJE { - - public static MYMONIT mymonit = new MYMONIT(); - public static MYOPTION myoption = new MYOPTION(); - - public static void main(String[] args) { - F02FK f02fk = new F02FK(); - X04AB x04ab = new X04AB(); - X04CA x04ca = new X04CA(); - double h2, sigma; - int iset = 1, ifail, imon, k, ldv, lo, maxit, mode, n, nconv, ncv, nev, - nnz, nx, outchn, prtlvl; - double[] a, dPrint, resid, v, w, ruser = new double[1]; - int[] icol, irow, iuser = new int[4]; - - - System.out.println(" F02FKJ Example Program Results"); - System.out.println(); - - nx = 20; - nev = 8; - ncv = 20; - sigma = 1.0; - - // Construct the matrix A in sparse form and store in A. - // The main diagonal of A is full and there are two subdiagonals of A: - // the first and the nx-th. - - n = nx * nx; - nnz = (3 * n) - (2 * nx); - a = new double[nnz]; - irow = new int[nnz]; - icol = new int[nnz]; - - // Zero out A. - Arrays.fill(a, 0.0); - - // Main diagonal of A. - h2 = 1.0 / (double)((nx + 1) * (nx + 1)); - for (int i = 1; i <= n; i++) { - irow[i - 1] = i; - icol[i - 1] = i; - a[i - 1] = 4.0 / h2; - } - - // First subdiagonal of A. - k = n; - for (int i = 1; i <= nx; i++) { - lo = (i - 1) * nx; - for (int j = lo + 1; j <= lo + nx - 1; j++) { - k += 1; - irow[k - 1] = j + 1; - icol[k - 1] = j; - a[k - 1] = -1.0 / h2; - } - } - - // nx-th subdiagonal. - for (int i = 1; i <= nx - 1; i++) { - lo = (i - 1) * nx; - for (int j = lo + 1; j <= lo + nx; j++) { - k += 1; - irow[k - 1] = j + nx; - icol[k - 1] = j; - a[k - 1] = -1.0 / h2; - } - } - - // Set some options via iuser array and routine argument OPTION. - // iuser[0] = print level, - // iuser[1] = iteration limit, - // iuser[2]>0 means shifted-invert mode - // iuser[3]>0 means print monitoring info - - prtlvl = 0; - maxit = 500; - mode = 1; - imon = 0; - - ruser[0] = 1.0; - iuser[0] = prtlvl; - iuser[1] = maxit; - iuser[2] = mode; - iuser[3] = imon; - - // Find eigenvalues of largest magnitude and the corresponding - // eigenvectors. - - ldv = n; - w = new double[ncv]; - v = new double[ldv * ncv]; - resid = new double[n]; - - nconv = 0; // placeholder - - ifail = -1; - f02fk.eval( - n, nnz, a, irow, icol, nev, ncv, sigma, mymonit, myoption, nconv, - w, v, ldv, resid, iuser, ruser, ifail - ); - ifail = f02fk.getIFAIL(); - nconv = f02fk.getNCONV(); - if (ifail != 0) { - System.err.println(" ** F02FK returned with IFAIL = " + ifail); - } - - - - // Print Eigenvalues and the residual norm ||A*x - lambda*x||. - dPrint = new double[nconv * 2]; - for (int i = 1; i <= nconv; i++) { - dPrint[getIdx(i, 1, nconv)] = w[i - 1]; - dPrint[getIdx(i, 2, nconv)] = resid[i - 1]; - } - - System.out.println(); - - ifail = 0; - x04ca.eval( - "G", "N", nconv, 2, dPrint, nconv, " Ritz values and residuals", - ifail - ); - - } - - public static class MYOPTION extends F02FK.Abstract_F02FK_OPTION { - - public void eval() { - F12FD f12fd = new F12FD(); - int ifail1; - String rec = " "; // Required len = 25 - - this.ISTAT = 0; - - if (this.IUSER[0] > 0) { - System.out.printf(" Print Level=%5d\n", this.IUSER[0]); - ifail1 = 1; - f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12fd.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[1] > 100) { - System.out.printf(" Iteration Limit=%5d\n", this.IUSER[1]); - ifail1 = 1; - f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12fd.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[2] > 0) { - ifail1 = 1; - f12fd.eval( - "Shifted Inverse ", this.ICOMM, this.COMM, ifail1 - ); - ifail1 = f12fd.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - } - - } - - public static class MYMONIT extends F02FK.Abstract_F02FK_MONIT { - - public void eval() { - - if (this.IUSER[3] > 0) { - - if (this.NITER == 1 && this.IUSER[2] > 0) { - System.out.printf( - " Arnoldi basis vectors used:%4d\n", this.NCV - ); - System.out.printf( - " The following Ritz values (mu) are related to the\n" - + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" - ); - } - - System.out.println(); - System.out.printf(" Iteration number %4d\n", this.NITER); - System.out.printf( - " Ritz values converged so far(%4d) and their Ritz" - + " estimates:\n", this.NCONV - ); - - for (int i = 0; i < this.NCONV; i++) { - System.out.printf( - " %4d %13.5E %13.5E\n", i+1, this.W[i], this.RZEST[i] - ); - } - - System.out.printf(" Next (uncoverged) Ritz value:\n"); - System.out.printf( - " %4d %13.5E\n", this.NCONV + 1, this.W[this.NCONV + 1] - ); - - } - - this.ISTAT = 0; - - } - - } - - /** - * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based - * Java index. - * - *

    Fortran array definition: - * a(dimX, *) - * - *

    Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return ((y-1) * dimX) + (x-1); - } - -} diff --git a/simple_examples/int32/F02WGJE.java b/simple_examples/int32/F02WGJE.java deleted file mode 100644 index 36c26c6..0000000 --- a/simple_examples/int32/F02WGJE.java +++ /dev/null @@ -1,132 +0,0 @@ -import com.nag.routines.F02.F02WG; -import java.util.Arrays; - -/** - * F02WG example program text. - * @author joed - */ -public class F02WGJE { - - public static AV av = new AV(); - - public static void main(String[] args) { - int ifail, k, ldu, ldv, m, n, nconv, ncv; - double[] resid, sigma, u, v; - double[] ruser = new double[1]; - int[] iuser = new int[1]; - - /* Set up wrappers */ - F02WG f02wg = new F02WG(); - - System.out.println(" F02WGJ Example Program Results\n"); - - /* Set F02WG args */ - m = 100; - n = 500; - k = 4; - ncv = 10; - nconv = 0; - ldu = m; - ldv = n; - resid = new double[ncv]; - sigma = new double[ncv]; - u = new double[ldu * ncv]; - v = new double[ldv * ncv]; - ifail = 0; - - /* Call routine */ - f02wg.eval( - m, // Rows in A - n, // Cols in A - k, // Num. of singular values to be computed - ncv, // Dimension of sigma and resid - av, // Subroutine that returns Ax or (A^T)x - nconv, // [Output] - sigma, // [Output] - u, // [Output] - ldu, // 1st dimension of u - v, // [Output] - ldv, // 1st dimension of v - resid, // [Output] - iuser, - ruser, - ifail - ); - - /* Get non-array output args */ - ifail = f02wg.getIFAIL(); - nconv = f02wg.getNCONV(); - - /* Print results */ - System.out.println(" Singular Value Residual"); - for (int i = 0; i < nconv; i++) { - System.out.printf( - " %10.5f %10.2G\n", sigma[i], resid[i] - ); - } - - } - - public static class AV extends F02WG.Abstract_F02WG_AV { - - public void eval() { - - double H = 1.0 / ((double)(this.M + 1)); - double K = 1.0 / ((double)(this.N + 1)); - - if (this.IFLAG == 1) { - - for (int i = 0; i < this.M; i++) { - this.AX[i] = 0.0; - } - - double S = 0.0; - double T = 0.0; - - for (int j = 0; j < this.N; j++) { - T += K; - S = 0.0; - - for (int i = 0; i < Math.min(j+1, this.M); i++) { - S += H; - this.AX[i] += K * S * (T - 1.0) * this.X[j]; - } - for (int i = j + 1; i < this.M; i++) { - S += H; - this.AX[i] += K * T * (S - 1.0) * this.X[j]; - } - - } - - } - else { - - for (int i = 0; i < this.N; i++) { - this.AX[i] = 0.0; - } - - double S = 0.0; - double T = 0.0; - - for (int j = 0; j < this.N; j++) { - T += K; - S = 0.0; - - for (int i = 0; i < Math.min(j+1, this.M); i++) { - S += H; - this.AX[j] += K * S * (T - 1.0) * this.X[i]; - } - for (int i = j + 1; i < this.M; i++) { - S += H; - this.AX[j] += K * T * (S - 1.0) * this.X[i]; - } - - } - - } - - } - - } - -} diff --git a/simple_examples/int32/F03BAJE.java b/simple_examples/int32/F03BAJE.java deleted file mode 100644 index 673ddec..0000000 --- a/simple_examples/int32/F03BAJE.java +++ /dev/null @@ -1,108 +0,0 @@ -import com.nag.routines.F03.F03BA; -import com.nag.routines.F07.F07AD; -import com.nag.routines.X04.X04CA; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * F03BAJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class F03BAJE{ - - /** - * F03BAJ example main program. - */ - public static void main(String[] args){ - double d = 0; - int id = 0, ifail, info = 0, lda = 0, n = 0; - double[] a; - int[] ipiv; - - //Should initialise values so java doesn't give any errors because of try/catch - a = new double[n]; - ipiv = new int[n]; - - System.out.println("F03BAJ Example Program Results"); - - //If file name not given print usage info - if(args.length != 1){ - F03BAJE.usage(); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[1]); - - lda = n; - - //reallocate with values from data file - a = new double[n * lda]; - ipiv = new int[n]; - - //read in matrix - for(int i = 0; i < n; i++){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int j = 0; j < n; j++){ - a[i + (j * n)] = Double.parseDouble(sVal[j]); - } - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - F07AD f07ad = new F07AD(n, n, a, lda, ipiv, info); - f07ad.eval(); - - ifail = 0; - - //Print out matrix - System.out.println(); - X04CA x04ca = new X04CA("G", "N", n, n, a, lda, "Array A after factorization", ifail); - x04ca.eval(); - - System.out.println(); - System.out.println("Pivots"); - for(int i = 0; i < n; i++){ - System.out.printf("\t%d ", ipiv[i]); - } - System.out.printf("\n"); - System.out.println(); - - ifail = 0; - - F03BA f03ba = new F03BA(n, a, lda, ipiv, d, id, ifail); - f03ba.eval(); - d = f03ba.getD(); - id = f03ba.getID(); - - System.out.printf("D = \t%.5f ID = \t%d\n", d, id); - System.out.println(); - System.out.printf("Value of determinant = %.5e\n", d * Math.pow(2.0, id)); - - } - - /** - * Print usage information. - */ - private static void usage(){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - -} - diff --git a/simple_examples/int32/F04AMJE.java b/simple_examples/int32/F04AMJE.java deleted file mode 100644 index a498b2b..0000000 --- a/simple_examples/int32/F04AMJE.java +++ /dev/null @@ -1,114 +0,0 @@ -import com.nag.routines.F04.F04AM; -import com.nag.routines.X02.X02AJ; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * F04AMJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class F04AMJE{ - - /** - * F04AMJ example main program. - */ - public static void main(String[] args){ - int m = 0, n = 0; - int ifail, ir, lda, ldb, ldqr, ldx; - double eps; - double[] a, b, alpha, e, qr, r, x, y, z; - int[] ipiv; - - System.out.println("F04AMJ Example Program Results"); - - if(args.length != 1){ - F04AMJE.usage(); - } - - //declare so try/catch works - a = new double[0]; - b = new double[0]; - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - m = Integer.parseInt(sVal[1]); - n = Integer.parseInt(sVal[2]); - - a = new double[m * n]; - b = new double[m * 1]; - - for(int i = 0; i < m; i++){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int j = 0; j < n; j++){ - a[i + (j * m) ] = Double.parseDouble(sVal[j]); - } - for(int j = n; j < m; j++){ - b[i + (j * (m - (n + 1)))] = Double.parseDouble(sVal[j]); - } - } - } - catch(FileNotFoundException err){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException err){ - System.err.println("***FATAL: Can't read " + filename + "\n" + err.getMessage()); - } - //Setting these in try block is more robust but less neat - //May be needed for array sizes~ - ir = 1; - lda = m; - ldb = m; - ldqr = m; - ldx = n; - - alpha = new double[n]; - e = new double[n]; - qr = new double[ldqr * n]; - r = new double[m]; - x = new double[ldx * ir]; - y = new double[n]; - z = new double[n]; - ipiv = new int[n]; - - X02AJ x02aj = new X02AJ(); - eps = x02aj.eval(); - - ifail = 0; - - F04AM f04am = new F04AM(a, lda, x, ldx, b, ldb, m, n, ir, eps, qr, ldqr, alpha, e, y, z, r, ipiv, ifail); - f04am.eval(); - //update any values you want here - x = f04am.getX(); - - System.out.println("Solution"); - for(int i = 0; i < n; i++){ - for(int j = 0; j < ir; j++){ - System.out.printf("%.4f ", x[j + (i * ir)]); - } - System.out.printf("\n"); - } - } - - /** - * No arguments supplied when example runs - */ - private static void usage() { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} - - - - - - diff --git a/simple_examples/int32/F04BAJE.java b/simple_examples/int32/F04BAJE.java deleted file mode 100644 index 79c2b01..0000000 --- a/simple_examples/int32/F04BAJE.java +++ /dev/null @@ -1,144 +0,0 @@ -import com.nag.routines.F04.F04BA; -import com.nag.routines.X04.X04CA; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * F04BAJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class F04BAJE{ - - /** - * F04BAJ example main program. - */ - public static void main(String[] args){ - int n = 0, nrhs = 0, lda = 0, ldb = 0; //placeholder - int ierr, ifail; - double errbnd, rcond; - double a[], b[]; - int ipiv[]; - - a = new double[0]; b = new double[0]; //placeholder - - if(args.length != 1){ - F04BAJE.usage(); - } - - System.out.println("F04BAJ Example Program Results"); - System.out.println(); - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[1]); - nrhs = Integer.parseInt(sVal[2]); - - lda = n; - ldb = n; - - a = new double[lda * n]; - b = new double[ldb * nrhs]; - - line = reader.readLine(); - for(int i = 0; i < lda; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int j = 0; j < n; j++){ - a[i + (j * n)] = Double.parseDouble(sVal[j + 1]); - } - } - - line = reader.readLine(); - for(int i = 0; i < ldb; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int j = 0; j < nrhs; j++){ - b[i + (j * n)] = Double.parseDouble(sVal[j + 1]); - } - } - - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = 1; - ipiv = new int[n]; - rcond = 0; - errbnd = 0; - F04BA f04ba = new F04BA(n, nrhs, a, lda, ipiv, b, ldb, rcond, errbnd, ifail); - f04ba.eval(); - - ifail = f04ba.getIFAIL(); - rcond = f04ba.getRCOND(); - errbnd = f04ba.getERRBND(); - ipiv = f04ba.getIPIV(); - a = f04ba.getA(); - b = f04ba.getB(); - - if(ifail == 0){ - //Print solution, estimate of condition number and approximate error bound. - ierr = 0; - X04CA x04ca = new X04CA("General", " ", n, nrhs, b, ldb, "Solution", ierr); - x04ca.eval(); - - System.out.println(); - System.out.println("Estimate of condition number"); - System.out.printf("%.1e\n", 1/rcond); - System.out.println(); - System.out.println("Esttimate of error bound for computed solutions"); - System.out.printf("%.1e\n", errbnd); - } - else if(ifail == (n + 1)){ - //Matrix A is numerically singular. Print estimate of reciprocal of condition number and solution. - System.out.println(); - System.out.println("Estimate of reciprocal of condition number"); - System.out.printf("%.1e\n", rcond); - System.out.println(); - - ierr = 0; - X04CA x04ca = new X04CA("General", " ", n, nrhs, b, ldb, "Solution", ierr); - x04ca.eval(); - } - else if(ifail > 0 && ifail <= n){ - //The upper triangular matrix U is exactly singular. Print details of factorization. - System.out.println(); - - ierr = 0; - X04CA x04ca = new X04CA("General", " ", n, n, a, lda, "Details of factorization", ierr); - x04ca.eval(); - - System.out.println(); - System.out.println("Pivot indices"); - for(int i = 0; i < n; i++){ - System.out.printf("%d ", ipiv[i]); - } - System.out.printf("\n"); - } - else{ - System.out.printf(" ** F04BAF returned with IFAIL = %d\n", ifail); - } - - } - - /** - * No arguments supplied when example runs - */ - private static void usage() { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} diff --git a/simple_examples/int32/F05AAJE.java b/simple_examples/int32/F05AAJE.java deleted file mode 100644 index 317c269..0000000 --- a/simple_examples/int32/F05AAJE.java +++ /dev/null @@ -1,99 +0,0 @@ -import com.nag.routines.F05.F05AA; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * F05AAJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class F05AAJE{ - - /** - * F05AAJ example main program. - */ - public static void main(String[] args) { - //Should initialise values to avoid issues with try/catch - int icol = 0, ifail = 0, lda = 0, m = 0, n1 = 0, n2 = 0; - double cc = 0; - double[] a, s; - - //same as ints - a = new double[1]; - s = new double[1]; - System.out.println("F05AAJ Example Program Results"); - System.out.println(); - - //supply data - if(args.length != 1){ - F05AAJE.usage(); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+");; - m = Integer.parseInt(sVal[1]); - n1 = Integer.parseInt(sVal[2]); - n2 = Integer.parseInt(sVal[3]); - lda = m; - - a = new double[lda*n2]; - s = new double[n2]; - - //read in a from data - for(int i = 0; i < n2; i++){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int j = 0; j < m; j++){ - a[i + (j * n2)] = Double.parseDouble(sVal[j]); - } - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - //create object then eval - F05AA f05aa = new F05AA(a, lda, m, n1, n2, s, cc, icol, ifail); - f05aa.eval(); - - //update values - n1 = f05aa.getN1(); - n2 = f05aa.getN2(); - cc = f05aa.getCC(); - icol = f05aa.getICOL(); - a = f05aa.getA(); - - System.out.printf("N1 = %d N2 = %d\n", n1, n2); - System.out.println(); - System.out.printf("CC = %.4f ICOL = %d\n", cc, icol); - System.out.println(); - System.out.println("Final Vectors"); - - for(int i = 0; i < n2; i++){ - for(int j = 1; j < m; j++){ - System.out.printf("%.4f ", a[i +(j * n2)]); - } - System.out.printf("\n"); - } - } - - /** - * Print usage information. - */ - private static void usage(){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} - diff --git a/simple_examples/int32/F06CLJE.java b/simple_examples/int32/F06CLJE.java deleted file mode 100644 index ca2ac5e..0000000 --- a/simple_examples/int32/F06CLJE.java +++ /dev/null @@ -1,40 +0,0 @@ -import com.nag.routines.F06.F06CL; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; - -/** - * F06CL example program text. - * @author ludovic - */ -public class F06CLJE { - - public static void main(String[] args) { - boolean fail = false; - NAGComplex z1 = new NAGComplex(); - NAGComplex z2 = new NAGComplex(); - NAGComplex z3 = new NAGComplex(); - - System.out.println(" F06CLJ Example Program Results"); - System.out.println(); - - Routine.complex = z1; - - z1.setRe(1.0); - z1.setIm(1.0); - z2.setRe(2.0); - z2.setIm(2.0); - - F06CL f06cl = new F06CL(z1,z2,fail); - z3 = (NAGComplex)f06cl.eval(); - fail = f06cl.getFAIL(); - - if (fail) { - System.err.println(" Something went wrong..."); - } - else { - System.out.println(" " + z1.toString() + "/"+ z2.toString() + " = " + z3.toString()); - } - - } - -} diff --git a/simple_examples/int32/F07AAJE.java b/simple_examples/int32/F07AAJE.java deleted file mode 100644 index 26eb5dc..0000000 --- a/simple_examples/int32/F07AAJE.java +++ /dev/null @@ -1,90 +0,0 @@ -import com.nag.routines.F07.F07AA; -import com.nag.routines.X04.X04CA; -import java.util.Arrays; - -/** - * F07AA example program text. - * @author joed - */ -public class F07AAJE { - - public static void main(String[] args) { - - int i, ifail, info, lda, ldb, n; - double[] a, b; - int[] ipiv; - - System.out.println(" F07AAJ Example Program Results"); - System.out.println(); - - n = 4; - lda = n; - ldb = n; - - a = new double[n*n]; - b = new double[n]; - ipiv = new int[n]; - - a[0+0*n] = 1.80; - a[0+1*n] = 2.88; - a[0+2*n] = 2.05; - a[0+3*n] = -0.89; - a[1+0*n] = 5.25; - a[1+1*n] = -2.95; - a[1+2*n] = -0.95; - a[1+3*n] = -3.80; - a[2+0*n] = 1.58; - a[2+1*n] = -2.69; - a[2+2*n] = -2.90; - a[2+3*n] = -1.04; - a[3+0*n] = -1.11; - a[3+1*n] = -0.66; - a[3+2*n] = -0.59; - a[3+3*n] = 0.80; - - b[0] = 9.52; - b[1] = 24.35; - b[2] = 0.77; - b[3] = -6.22; - - /* Solve the equations Ax = b for x */ - - F07AA f07aa = new F07AA(); - info = 0; - f07aa.eval(n, 1, a, lda, ipiv, b, ldb, info); - info = f07aa.getINFO(); - - if (info == 0) { - - /* Print solution */ - - System.out.println(" Solution"); - for (i = 0; i < n; i++) { - System.out.printf(" %11.4f", b[i]); - } - System.out.printf("\n"); - - /* Print details of factorization */ - - System.out.println(); - X04CA x04ca = new X04CA(); - ifail = 0; - x04ca.eval("General", " ", n, n, a, lda, "Details of factorization", ifail); - - /* Print pivot indices */ - - System.out.println(); - System.out.println(" Pivot indices"); - for (i = 0; i < n; i++) { - System.out.printf(" %11d", ipiv[i]); - } - System.out.printf("\n"); - - } - else { - System.err.printf(" The (%3d,%3d) element of the factor U is zero\n", info, info); - } - - } - -} diff --git a/simple_examples/int32/F07ABJE.java b/simple_examples/int32/F07ABJE.java deleted file mode 100644 index 6362739..0000000 --- a/simple_examples/int32/F07ABJE.java +++ /dev/null @@ -1,134 +0,0 @@ -import com.nag.routines.F07.DGESVX; -import com.nag.routines.X04.X04CA; - -/** - * F07ABJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class F07ABJE{ - - /** - * F07ABJ example main program - */ - public static void main(String[] args){ - double rcond = 0; - int ifail, info = 0, lda, ldaf, ldb, ldx, n, nrhs; //placeholders - String equed; - double[] a, af, b, berr, c, ferr, r, work, x; - int[] ipiv, iwork; - - System.out.println("F07ABJ Example Program Results"); - System.out.println(); - - //Problem size - n = 4; - nrhs = 2; - lda = n; - ldaf = n; - ldb = n; - ldx = n; - - //Allocate - a = new double[lda * n]; - af = new double[ldaf * n]; - b = new double[ldb * nrhs]; - berr = new double[nrhs]; - c = new double[n]; - ferr = new double[nrhs]; - r = new double[n]; - work = new double[4 * n]; - x = new double[ldx * nrhs]; - ipiv = new int[n]; - iwork = new int[n]; - equed = " "; - - //Matrices A and B - a[0] = 1.8; - a[1] = 525; - a[2] = 1.58; - a[3] = -1.11; - a[4] = 2.88; - a[5] = -295; - a[6] = -2.69; - a[7] = -0.66; - a[8] = 2.05; - a[9] = -95; - a[10] = -2.9; - a[11] = -0.59; - a[12] = -0.89; - a[13] = -380; - a[14] = -1.04; - a[15] = 0.8; - b[0] = 9.52; - b[1] = 2435; - b[2] = 0.77; - b[3] = -6.22; - b[4] = 18.47; - b[5] = 225; - b[6] = -13.28; - b[7] = -6.21; - - //Solve the equations AX = B for X - //The NAG name equivalent of dgesvx is f07abf - DGESVX dgesvx = new DGESVX("Equilibration", "No Transpose", n, nrhs, a, lda, af, ldaf, ipiv, equed, r, - c, b, ldb, x, ldx, rcond, ferr, berr, work, iwork, info); - dgesvx.eval(); - - //Update - info = dgesvx.getINFO(); - equed = dgesvx.getEQUED(); - rcond = dgesvx.getRCOND(); - - if(info == 0 || info == n + 1){ - //Print solution, error bounds, condition number, the form of equilibration and the pivot growth factor - - //ifail: behaviour on error exit - // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft - ifail = 0; - X04CA x04ca = new X04CA("General", " ", n, nrhs, x, ldx, "Solution(s)", ifail); - x04ca.eval(); - - System.out.println(); - System.out.println("Backward errors (machine-dependent)"); - for(int i = 0; i < nrhs; i++){ - System.out.printf(" %.1e ", berr[i]); - } - System.out.println(); - System.out.println(); - System.out.println("Estimated forward error bounds (machine-dependent)"); - for(int i = 0; i < nrhs; i++){ - System.out.printf(" %.1e ", ferr[i]); - } - System.out.println(); - System.out.println(); - if(equed.equals("N")){ - System.out.println("A has not been equilibrated"); - } - else if(equed.equals("R")){ - System.out.println("A has been row scaled as diag(R)*A"); - } - else if(equed.equals("C")){ - System.out.println("A has been column scaled as A*diag(C)"); - } - else if(equed.equals("B")){ - System.out.println("A has been row and column scaled as diag(R)*A*diag(C)"); - } - System.out.println(); - System.out.println("Reciprocal condition number estimate of scaled matrix"); - System.out.printf(" %.1e\n", rcond); - System.out.println(); - System.out.println("Estimate of reciprocal pivot growth factor"); - System.out.printf(" %.1e\n", work[0]); - System.out.println(); - - if(info == n + 1){ - System.out.println(); - System.out.println("The matrix A is singular to working precision"); - } - } - else{ - System.out.println("The (" + info + ", " + info + ")" + " element of the factor U is zero"); - } - } -} diff --git a/simple_examples/int32/F07ADJE.java b/simple_examples/int32/F07ADJE.java deleted file mode 100644 index 4450683..0000000 --- a/simple_examples/int32/F07ADJE.java +++ /dev/null @@ -1,72 +0,0 @@ -import com.nag.routines.F07.DGETRF; -import com.nag.routines.X04.X04CA; - -/** - * F07ADJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class F07ADJE{ - - /** - * F07ADJ Example main program - */ - public static void main(String[] args){ - int ifail, info = 0, lda, m, n; - double[] a; - int[] ipiv; - - System.out.println("F07ADJ Example Program Results"); - System.out.println(); - - //Problem size (can be read from data file) - m = 4; - n = 4; - lda = m; - - //Data - ipiv = new int[n]; - a = new double[m * n]; - a[0] = 1.8; - a[1] = 5.25; - a[2] = 1.58; - a[3] = -1.11; - a[4] = 2.88; - a[5] = -2.95; - a[6] = -2.69; - a[7] = -0.66; - a[8] = 2.05; - a[9] = -0.95; - a[10] = -2.9; - a[11] = -0.59; - a[12] = -0.89; - a[13] = -3.8; - a[14] = -1.04; - a[15] = 0.8; - - //Factorize A - //The NAG name equivalent of dgetrf is F07ADF - DGETRF dgetrf = new DGETRF(m, n, a, lda, ipiv, info); - dgetrf.eval(); - - //Update - info = dgetrf.getINFO(); - - //ifail: behaviour on error exit - // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft - ifail = 0; - X04CA x04ca = new X04CA("General", " ", m, n, a, lda, "Details of factorization", ifail); - x04ca.eval(); - - //Print pivot indices - System.out.println("IPIV"); - for(int i = 0; i < Math.min(m, n); i++){ - System.out.printf("\t%d", ipiv[i]); - } - System.out.println(); - - if(info != 0){ - System.out.println("The factor U is singular"); - } - } -} diff --git a/simple_examples/int32/F07AQJE.java b/simple_examples/int32/F07AQJE.java deleted file mode 100644 index 5ee47e5..0000000 --- a/simple_examples/int32/F07AQJE.java +++ /dev/null @@ -1,99 +0,0 @@ -import com.nag.routines.F07.F07AQ; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; -import com.nag.types.NAGComplexF; - -/** - * F07AQ example program text. - * @author joed - * @since 27.1.0.0 - */ -public class F07AQJE { - - public static void main(String[] args) { - - F07AQ f07aq = new F07AQ(); - int info, iter, lda, ldb, ldx, n, r; - NAGComplex[] a, b, work, x; - NAGComplexF[] swork; - double[] rwork; - int[] ipiv; - - System.out.println(" F07AQJ Example Program Results"); - System.out.println(); - - // Set dimensions and instantiate arrays - n = 4; - r = 1; - lda = ldb = ldx = n; - a = new NAGComplex[lda*n]; - b = new NAGComplex[ldb*r]; - work = (NAGComplex[]) (new NAGComplex()).getArrayOfInstances(n*r); - x = (NAGComplex[]) (new NAGComplex()).getArrayOfInstances(ldx*r); - swork = (NAGComplexF[]) (new NAGComplexF()).getArrayOfInstances(n*(n+r)); - ipiv = new int[n]; - rwork = new double[n]; - - // Set A - a[0] = new NAGComplex(-1.34, 2.55); // Column 1 - a[1] = new NAGComplex(-0.17, -1.41); - a[2] = new NAGComplex(-3.29, -2.39); - a[3] = new NAGComplex(2.41, 0.39); - a[4] = new NAGComplex(0.28, 3.17); // Column 2 - a[5] = new NAGComplex(3.31, -0.15); - a[6] = new NAGComplex(-1.91, 4.42); - a[7] = new NAGComplex(-0.56, 1.47); - a[8] = new NAGComplex(-6.39, -2.20); // Column 3 - a[9] = new NAGComplex(-0.15, 1.34); - a[10] = new NAGComplex(-0.14, -1.35); - a[11] = new NAGComplex(-0.83, -0.69); - a[12] = new NAGComplex(0.72, -0.92); // Column 4 - a[13] = new NAGComplex(1.29, 1.38); - a[14] = new NAGComplex(1.72, 1.35); - a[15] = new NAGComplex(-1.96, 0.67); - - // Set B - b[0] = new NAGComplex(26.26,51.78); - b[1] = new NAGComplex( 6.43,-8.68); - b[2] = new NAGComplex(-5.75,25.31); - b[3] = new NAGComplex( 1.16, 2.57); - - // Notify wrappers of complex types - Routine.setComplex(new NAGComplex()); - Routine.setComplexF(new NAGComplexF()); - - // Solve the equations Ax = b for x - iter = info = 0; - f07aq.eval(n, r, a, lda, ipiv, b, ldb, x, ldx, work, swork, rwork, iter, info); - iter = f07aq.getITER(); - info = f07aq.getINFO(); - - if (info == 0) { - - // Print solution - - System.out.println(" Solution"); - for (int i = 0; i < n; i++) { - for (int j = 0; j < r; j++) { - System.out.printf(" (%7.4f,%7.4f)", x[j*n+i].getRe(), x[j*n+i].getIm()); - } - } - System.out.println(); - - // Print pivot indices - - System.out.println(); - System.out.println(" Pivot indices"); - for (int i = 0; i < n; i++) { - System.out.printf(" %11d", ipiv[i]); - } - System.out.println(); - - } - else { - System.out.printf(" The (%3d,%3d) element of the factor U is zero", info, iter); - } - - } - -} diff --git a/simple_examples/int32/F07FAJE.java b/simple_examples/int32/F07FAJE.java deleted file mode 100644 index e516051..0000000 --- a/simple_examples/int32/F07FAJE.java +++ /dev/null @@ -1,79 +0,0 @@ -import com.nag.routines.F07.F07FA; -import com.nag.routines.X04.X04CA; - -/** - * F07FA example program text. - * @author saraht - */ -public class F07FAJE { - - public static void main(String[] args) { - - int i, ifail, info, lda, n; - double[] a, b; - - System.out.println(" F07FAJ Example Program Results"); - System.out.println(); - - n = 4; - lda = n; - - a = new double[n*n]; - b = new double[n]; - - /* A = 4.16 -3.12 0.56 -0.10 - 5.03 -0.83 1.18 - 0.76 0.34 - 1.18 */ - - a[0+0*n] = 4.16; - a[0+1*n] = -3.12; - a[0+2*n] = 0.56; - a[0+3*n] = -0.10; - - a[1+1*n] = 5.03; - a[1+2*n] = -0.83; - a[1+3*n] = 1.18; - - a[2+2*n] = 0.76; - a[2+3*n] = 0.34; - - a[3+3*n] = 1.18; - - b[0] = 8.70; - b[1] = -13.35; - b[2] = 1.89; - b[3] = -4.14; - - /* Solve the equations Ax = b for x */ - - F07FA f07fa = new F07FA(); - info = 0; - f07fa.eval("Upper", n, 1, a, lda, b, n, info); - info = f07fa.getINFO(); - - if (info == 0) { - - /* Print solution */ - - System.out.println(" Solution"); - for (i = 0; i < n; i++) { - System.out.printf(" %11.4f", b[i]); - } - System.out.printf("\n"); - - /* Print details of factorization */ - - System.out.println(); - X04CA x04ca = new X04CA(); - ifail = 0; - x04ca.eval("Upper", "Non-unit diagonal", n, n, a, lda, "Cholesky factor U", ifail); - - } - else { - System.err.printf(" The leading minor of order %d is not positive definite \n", info); - } - - } - -} diff --git a/simple_examples/int32/F07FBJE.java b/simple_examples/int32/F07FBJE.java deleted file mode 100644 index 09bbd37..0000000 --- a/simple_examples/int32/F07FBJE.java +++ /dev/null @@ -1,122 +0,0 @@ -import com.nag.routines.F07.F07FB; -import com.nag.routines.X04.X04CA; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * F07FB example program text. - * @author ludovic - */ -public class F07FBJE { - - public static void main(String[] args) { - String fact,uplo,equed; - int n, nrhs,lda,ldaf,ldb,ldx; - int[] iwork; - double rcond; - double[] a,af,s,b,x,ferr,berr,work; - int info,ifail; - lda = 4; - ldaf = lda; - ldb = lda; - ldx = lda; - nrhs = 2; - n = 4; - a = new double[lda*lda]; - af = new double[ldaf*ldaf]; - b = new double[ldb*nrhs]; - berr = new double[nrhs]; - ferr = new double[nrhs]; - s = new double[lda]; - work = new double[3*lda]; - x = new double[ldx*nrhs]; - iwork = new int[lda]; - info = 1; - rcond = Double.NaN; - fact = "E"; - uplo = "U"; - equed = "Z";//dummy value - /*A = 4.16 -3.12 0.56 -0.10 - 5.03 -0.83 1.18 - 0.76 0.34 - 1.18*/ - a[0] = 4.16; - - a[4] = -3.12; - a[5] = 5.03; - - a[8] = 0.56; - a[9] = -0.83; - a[10] = 0.76; - - a[12] = -0.10; - a[13] = 1.18; - a[14] = 0.34; - a[15] = 1.18; - - /*B= 8.70 8.30 - -13.35 2.13 - 1.89 1.61 - - 4.14 5.00*/ - b[0] = 8.70; - b[1] = -13.35; - b[2] = 1.89; - b[3] = -4.14; - - b[4] = 8.30; - b[5] = 2.13; - b[6] = 1.61; - b[7] = 5.00; - - System.out.println(" F07FBJ Example Program Results"); - System.out.println(); - - F07FB f07fb = new F07FB(fact, uplo, n, nrhs, a, lda, af, ldaf, equed, s, b, - ldb, x, ldx, rcond, ferr, berr, work, iwork, info); - f07fb.eval(); - fact = f07fb.getFACT(); - uplo = f07fb.getUPLO(); - equed = f07fb.getEQUED(); - rcond = f07fb.getRCOND(); - info = f07fb.getINFO(); - - - if ((info == 0) || (info == n+1)) { - ifail = 0; - (new X04CA()).eval("General"," ",n,nrhs,x,ldx,"Solution(s)",ifail); - System.out.println(); - System.out.println(" Backward errors (machine-dependent)"); - System.out.print(" "); - for (int ii = 0; ii < nrhs; ++ii) { - System.out.printf(" %11.1e",berr[ii]); - } - System.out.println("\n"); - System.out.println(" Estimated forward error bounds (machine-dependent)"); - System.out.print(" "); - for (int ii = 0; ii < nrhs; ++ii) { - System.out.printf(" %11.1e",ferr[ii]); - } - System.out.println("\n"); - System.out.println(" Estimate of reciprocal condition number"); - System.out.printf(" %11.1e\n",rcond); - System.out.println(); - if (equed.equalsIgnoreCase("N")) { - System.out.println(" A has not been equilibrated"); - } - else if (equed.equalsIgnoreCase("N")) { - System.out.println(" A has been row and column scaled as diag(S)*A*diag(S)"); - } - - if (info == n+1) { - System.out.println(); - System.out.println(" The matrix A is singular to working precision"); - } - - } - else { - System.out.printf(" The leading minor of order %3d is not positive definite\n"); - } - - } - -} diff --git a/simple_examples/int32/F08BTJE.java b/simple_examples/int32/F08BTJE.java deleted file mode 100644 index 43c219b..0000000 --- a/simple_examples/int32/F08BTJE.java +++ /dev/null @@ -1,228 +0,0 @@ -import static java.lang.Math.*; - -import com.nag.routines.F06.F06JJ; -import com.nag.routines.F06.F06ZJ; -import com.nag.routines.F08.F08AU; -import com.nag.routines.F08.F08BT; -import com.nag.routines.Routine; -import com.nag.routines.X04.X04DB; -import com.nag.types.NAGComplex; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.util.regex.Matcher; -import java.util.regex.Pattern; - -/** - * F08BT example program text. - * @author ludovic - */ -public class F08BTJE { - - public static void main(String[] args) throws FileNotFoundException, IOException { - int incl = 1, nb = 64; - double tol; - int ifail, info = 0, k, lda, ldb, lwork, m, n, nrhs; - NAGComplex[] a, b, tau, work; - double[] rnorm, rwork; - int[] jpvt; - String[] clabs = new String[]{" "}, rlabs = new String[]{" "}; - - // Setup complex constants - NAGComplex one = new NAGComplex(); - NAGComplex zero = new NAGComplex(); - one.setRe(1.0); - one.setIm(0.0); - zero.setRe(0.0); - zero.setIm(0.0); - - // Inform the Routine class of the type of complex in use - can use any complex object - Routine.complex = one; - - System.out.println(" F08BTJ Example Program Results"); - System.out.println(); - - // Read values from data file - BufferedReader br = new BufferedReader(new FileReader(args[0])); - String line = br.readLine(); - line = br.readLine().trim(); - line = br.readLine().trim(); - String[] vals = line.split("\\s+"); - m = Integer.parseInt(vals[0].trim()); - n = Integer.parseInt(vals[1].trim()); - nrhs = Integer.parseInt(vals[2].trim()); - lda = ldb = m; - lwork = (n + 1) * nb; - a = new NAGComplex[lda * n]; - b = new NAGComplex[ldb * nrhs]; - tau = new NAGComplex[n]; - work = new NAGComplex[lwork]; - rnorm = new double[nrhs]; - rwork = new double[2 * n]; - jpvt = new int[n]; - - // Actually initialize the complex arrays - for (int i = 0; i < a.length; ++i) { - a[i] = new NAGComplex(); - } - for (int i = 0; i < b.length; ++i) { - b[i] = new NAGComplex(); - } - for (int i = 0; i < tau.length; ++i) { - tau[i] = new NAGComplex(); - } - for (int i = 0; i < work.length; ++i) { - work[i] = new NAGComplex(); - } - - /* Read A and B from data file */ - - readCompMatrix(br, a, lda, n); - readCompMatrix(br, b, ldb, nrhs); - br.close(); - - /* Initialize JPVT to be zero so that all columns are free */ - - for (int i = 0; i < n; ++i) { - jpvt[i] = 0; - } - - /* Compute the QR factorization of A */ - - F08BT f08bt = new F08BT(m, n, a, lda, jpvt, tau, work, lwork, rwork, info); - f08bt.eval(); - - /* Compute C = (C1) = (Q**H)*B, storing the result in B (C2) */ - - String side = "Left"; - String conjTrans = "Conjugate Transpose"; - F08AU f08au = new F08AU(side, conjTrans, m, nrhs, n, a, lda, tau, b, ldb, work, lwork, info); - f08au.eval(); - a = (NAGComplex[])f08au.getA(); - - /* Choose TOL to reflect the relative accuracy of the input data */ - - tol = 0.01; - - /* Determine and print the rank, K, or R relative to TOL */ - - for (k = 1; k < n + 1; ++k) { - if (abs(a[k - 1 + lda * (k - 1)]) <= tol * abs(a[0])) { - break; - } - } - k = k - 1; - - System.out.println(" Tolerance used to estimate the rank of A"); - System.out.printf(" %11.2E\n", tol); - System.out.println(" Estimated rank of A"); - System.out.printf(" %8d\n", k); - - /* Compute least squares solutions by back-substitution in R(1:K,1:K)*Y = C1 - * storing the result in B */ - - String upDown = "Upper"; - String trans = "No transpose"; - String unit = "Non-Unit"; - F06ZJ f06zj = new F06ZJ(side, upDown, trans, unit, k, nrhs, one, a, lda, b, ldb); - f06zj.eval(); - - /* Compute estimates of the square roots of the residual sums of squares - * (2-norm of each of the columns of C2) */ - - int mMinusK = m - k; - NAGComplex[] btmp = new NAGComplex[b.length]; - for (int i = 0; i < btmp.length; ++i) { - btmp[i] = new NAGComplex(); - } - System.arraycopy(b, k, btmp, 0, b.length - k); - - F06JJ f06jj = new F06JJ(mMinusK, btmp, incl); - rnorm[0] = f06jj.eval(mMinusK, btmp, incl); - System.arraycopy(btmp, 0, b, k, b.length - k); - for (int j = 1; j < nrhs; ++j) { - System.arraycopy(b, k + j * ldb, btmp, 0, b.length - k - j * ldb); - rnorm[j] = f06jj.eval(mMinusK, btmp, incl); - System.arraycopy(btmp,0, b, k + j * ldb, b.length - k - j * ldb); - } - - /* Set the remaining elements of the solutions to zero (to give the - * basic solutions) */ - - for (int i = k; i < n; ++i) { - for (int j = 0; j < nrhs; ++j) { - NAGComplex tmp = new NAGComplex(); - tmp.setRe(0.0); - tmp.setIm(0.0); - b[i + j * ldb] = tmp; - } - } - - /* Permute the least squares solution stored in B to give X = P*Y */ - - for (int j = 0; j < nrhs; j++) { - for (int i = 0; i < n; i++) { - work[jpvt[i] - 1] = b[j*ldb + i]; - } - for (int i = 0; i < n; i++) { - b[j*ldb + i] = work[i]; - } - } - - /* Print least squares solutions */ - - X04DB x04db = new X04DB(); - ifail = 0; - x04db.eval("General"," ",n,nrhs,b,ldb,"Bracketed","F7.4","Least squares solution(s)", - "Integer",rlabs,"Integer",clabs,80,0,ifail); - - /* Print the square roots of the residual sums of squares */ - - System.out.println(); - System.out.println(" Square root(s) of the residual sum(s) of squares"); - System.out.printf(" "); - for (int i = 0; i < nrhs; ++i) { - System.out.printf("%11.2E", rnorm[i]); - } - System.out.println(); - - } - - private static void readCompMatrix(BufferedReader br, NAGComplex[] mat, int row, - int col) throws IOException { - - // matches one complex number (without the brackets...) - String complexPat = "\\(([,0-9\\.\\-\\+\\s]*)\\)"; - String fullPattern = complexPat; - for (int i = 0; i < col -1; ++i) { - fullPattern = fullPattern + "\\s*" + complexPat; - } - fullPattern = fullPattern + ".*"; - Pattern comppat = Pattern.compile(fullPattern); - - for (int i = 0; i < row; ++i) { - String line = br.readLine().trim(); - if (line.equalsIgnoreCase("")) { - line = br.readLine().trim(); - } - Matcher m = comppat.matcher(line.trim()); - if (m.matches()) { - for (int j = 0; j < col; ++j) { - String[] numbers = m.group(j + 1).trim().split(","); - mat[i + j * row].setRe(Double.parseDouble(numbers[0].trim())); - mat[i + j * row].setIm(Double.parseDouble(numbers[1].trim())); - // System.out.print("mat["+i+","+j+"]=("+numbers[0].trim()+","+numbers[1].trim()+") "); - } - // System.out.println(); - } - - - } - } - - private static double abs(NAGComplex z) { - return sqrt(z.getRe() * z.getRe() + z.getIm() * z.getIm()); - } - -} diff --git a/simple_examples/int32/F08FAJE.java b/simple_examples/int32/F08FAJE.java deleted file mode 100644 index 028f854..0000000 --- a/simple_examples/int32/F08FAJE.java +++ /dev/null @@ -1,113 +0,0 @@ -import com.nag.routines.F08.DDISNA; -import com.nag.routines.F08.F08FA; -import com.nag.routines.F16.F16JQ; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X04.X04CA; -import java.util.Arrays; -import java.util.logging.Level; -import java.util.logging.Logger; - - -/** - * F08FA example program text. - * @author ludovic - */ -public class F08FAJE { - - public static void main(String[] args) { - int n = 4, LWork = n*64, lda = n; - double[] a, w, work,zerrbd,rcondz, colVector; - int info = 0, ifail = 0, k = 0; - a = new double[n * n]; - w = new double[n]; - work = new double[LWork]; - zerrbd = new double[n]; - rcondz = new double[n]; - colVector = new double[n]; - - System.out.println(" F08FAJ Example Program Results\n"); - - //array a : Stored in column major way - - a[0] = 1.0; - a[1] = 2.0; - a[2] = 3.0; - a[3] = 4.0; - - a[4] = 2.0; - a[5] = 2.0; - a[6] = 3.0; - a[7] = 4.0; - - a[8] = 3.0; - a[9] = 3.0; - a[10] = 3.0; - a[11] = 4.0; - - a[12] = 4.0; - a[13] = 4.0; - a[14] = 4.0; - a[15] = 4.0; - - //initializing the info parameter - info = 0; - w[0] = Double.NaN; - w[1] = Double.NaN; - w[2] = Double.NaN; - w[3] = Double.NaN; - F08FA f08fa = new F08FA("V", "U", n, a, n, w, work, LWork, info); - f08fa.eval(); - info = f08fa.getINFO(); - - if (info == 0) { - System.out.println(" Eigenvalues"); - System.out.print(" "); - for (int i = 0; i < n; ++i) { - System.out.printf(" %8.4f",w[i]); - } - System.out.println(); - - // Normalize the eigenvectors: largest element positive - F16JQ f16jq = new F16JQ(); // aka blas_damax_val - for (int i = 0; i < n; i++) { - System.arraycopy(a, 4*i, colVector, 0, 4); // Form vector to evaluate - f16jq.eval(n, colVector, 1, k, 0.0); // Get index of largest (absolute) value - k = f16jq.getK() - 1; // Make index zero based - - // Invert sign of column if largest element is negative - if (a[(4*i)+k] < 0) { - for (int j = 0; j < n; j++) { - a[(4*i)+j] = (-1) * a[(4*i)+j]; - } - } - - } - - (new X04CA()).eval("General"," ",n,n,a,lda,"Eigenvectors",ifail); - - double eps = (new X02AJ()).eval(); - double eerrbd = eps*Math.max(Math.abs(w[0]),Math.abs(w[n-1])); - - (new DDISNA()).eval("Eigenvectors",n,n,w,rcondz,info); - for (int i = 0; i < n; ++i) { - zerrbd[i] = eerrbd/rcondz[i]; - } - - System.out.println(); - System.out.println(" Error estimate for the eigenvalues"); - System.out.printf(" %11.1e\n",eerrbd); - System.out.println(); - System.out.println(" Error estimates for the eigenvectors"); - for (int i = 0; i < n; ++i) { - System.out.printf(" %11.1e",zerrbd[i]); - } - System.out.println(); - - } - else { - System.out.printf(" Failure in DSYEV. INFO =%4d",info); - } - - } - -} diff --git a/simple_examples/int32/F08XPJE.java b/simple_examples/int32/F08XPJE.java deleted file mode 100644 index cc894d3..0000000 --- a/simple_examples/int32/F08XPJE.java +++ /dev/null @@ -1,297 +0,0 @@ -import com.nag.routines.F06.F06UA; -import com.nag.routines.F06.F06BN; -import com.nag.routines.F06.ZGEMM; -import com.nag.routines.F08.ZGGESX; -import com.nag.routines.M01.M01DA; -import com.nag.routines.M01.M01ED; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X04.X04DB; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * F08XPJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class F08XPJE{ - - public static boolean chkfac = false; - public static boolean prcond = false; - public static boolean prmat = false; - public static int nb = 64; - - /* - * F08XPJ Example main program - */ - public static void main(String[] args){ - NAGComplex alph, bet; - double abnorm, anorm, bnorm, eps, normd, norme, tol; - int ifail, info = 0, lda, ldb, ldc, ldd, lde, ldvsl, ldvsr, liwork, lwork, n, sdim = 0; - boolean factor; - NAGComplex[] a, alpha, b, beta, c, d, e, vsl, vsr, work, dummy; - double[] rconde, rcondv, rwork; - int[] idum, iwork; - boolean[] bwork; - String[] clabs, rlabs; - - //Placeholders - idum = new int[1]; - rconde = new double[2]; - rcondv = new double[2]; - dummy = NAGComplex.createArray(1); - - System.out.println("F08XPJ Example Program Results"); - System.out.println(); - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - //Tell wrappers what time of complex type is going to be used - Routine.setComplex(new NAGComplex()); - - //n declared here for neater code but can be read in from data file - n = 4; - lda = n; - ldb = n; - ldc = n; - ldd = n; - lde = n; - ldvsl = n; - ldvsr = n; - - //Allocate - a = NAGComplex.createArray(lda * n); - alpha = NAGComplex.createArray(n); - b = NAGComplex.createArray(ldb * n); - beta = NAGComplex.createArray(n); - c = NAGComplex.createArray(ldc * n); - d = NAGComplex.createArray(ldd * n); - e = NAGComplex.createArray(lde * n); - vsl = NAGComplex.createArray(ldvsl * n); - vsr = NAGComplex.createArray(ldvsr * n); - rwork = new double[8 * n]; - bwork = new boolean[n]; - clabs = new String[1]; - clabs[0] = " "; - rlabs = new String[1]; - rlabs[0] = " "; - - //Use routine workspace query to get optimal workspace - lwork = -1; - liwork = -1; - //The NAG name equivalent of zggesx is f08xpf - selctg selctg1 = new selctg(); - ZGGESX zggesx = new ZGGESX("Vectors (left)", "Vectors (right)", "Sort", selctg1, "Both reciprocal condition numbers", - n, a, lda, b, ldb, sdim, alpha, beta, vsl, ldvsl, vsr, ldvsr, rconde, rcondv, dummy, lwork, - rwork, idum, liwork, bwork, info); - zggesx.eval(); - - //Make sure that there is a enough workspace for block size nb - lwork = Math.max((n * nb) + (n * n/2), (int) Math.rint(dummy[0].getRe())); - liwork = Math.max(n + 2, idum[0]); - work = NAGComplex.createArray(lwork); - iwork = new int[liwork]; - - //Read in matrices A and B - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); // skip header - line = reader.readLine(); //skip n (set manually for neater code) - String[] sVal; - - for(int i = 0; i < 2; i++){ - for(int j = 0; j < n; j++){ - line = reader.readLine(); - sVal = line.split("\\)"); - for(int k = 0; k < n; k++){ - if(i == 0){ - a[(k * n) + j] = parseComplex(sVal[k]); - } - else{ - b[(k * n) + j] = parseComplex(sVal[k]); - } - } - } - } - - } - catch(FileNotFoundException err){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException err){ - System.err.println("***FATAL: Can't read " + filename + "\n" + err.getMessage()); - } - - if(chkfac){ - for(int i = 0; i < a.length; i++){ - //Copy A and B into D and E respectively - d[i] = a[i]; - e[i] = b[i]; - } - } - - //Find the Forbenius norms of A and B - //The NAG name equivalent of the LAPACK auxiliary zlange is f06uaf - F06UA f06ua = new F06UA(); - anorm = f06ua.eval("Frobenius", n, n, a, lda, rwork); - bnorm = f06ua.eval("Frobenius", n, n, b, ldb, rwork); - - if(prmat){ - //Print matrices A and B - //ifail : behaviour on error exit - // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft - ifail = 0; - X04DB x04db = new X04DB("General", " ", n, n, a, lda, "Bracketed", "F8.4", "Matrix A", "Integer", - rlabs, "Integer", clabs, 80, 0, ifail); - x04db.eval(); - System.out.println(); - - ifail = 0; - x04db = new X04DB("General", " ", n, n, b, ldb, "Bracketed", "F8.4", "Matrix B", "Integer", - rlabs, "Integer", clabs, 80, 0, ifail); - x04db.eval(); - System.out.println(); - } - - factor = true; - //Find the generalized Schur form - //The NAG name equivalent of zggesx is f08xpf - zggesx = new ZGGESX("Vectors (left)", "Vectors (right)", "Sort", selctg1, "Both reciprocal condition numbers", - n, a, lda, b, ldb, sdim, alpha, beta, vsl, ldvsl, vsr, ldvsr, rconde, rcondv, work, lwork, - rwork, iwork, liwork, bwork, info); - zggesx.eval(); - - //update - sdim = zggesx.getSDIM(); - - if(info != 0 && info != (n + 2)){ - System.out.printf("Failure in ZGGESX. INFO = %d\n", info); - factor = false; - } - else if(chkfac){ - //Compute A - Q*S*Z^H from the factorization of (A,B) and store in matrix D - //The NAG name equivalent of zgemm is f06zaf - alph = new NAGComplex(1, 0); - bet = new NAGComplex(0, 0); - ZGEMM zgemm = new ZGEMM("N", "N", n, n, n, alph, vsl, ldvsl, a, lda, bet, c, ldc); - zgemm.eval(); - - alph = new NAGComplex(-1, 0); - bet = new NAGComplex(1, 0); - zgemm = new ZGEMM("N", "C", n, n, n, alph, c, ldc, vsr, ldvsr, bet, d, ldd); - zgemm.eval(); - - //Compute B - Q*T*Z^H from the factorization of (A,B) and store in matrix E - alph = new NAGComplex(1, 0); - bet = new NAGComplex(0, 0); - zgemm = new ZGEMM("N", "N", n, n, n, alph, vsl, ldvsl, b, ldb, bet, c, ldc); - zgemm.eval(); - - alph = new NAGComplex(-1, 0); - bet = new NAGComplex(1, 0); - zgemm = new ZGEMM("N", "C", n, n, n, alph, c, ldc, vsr, ldvsr, bet, e, lde); - zgemm.eval(); - - //Find norms of matrices D and E and warn if either is too large - f06ua = new F06UA("0", ldd, n, d, ldd, rwork); - normd = f06ua.eval(); - X02AJ x02aj = new X02AJ(); - if(normd > Math.pow(x02aj.eval(), 0.75)){ - System.out.println("Norm of A-(Q*S*Z^T) is much greater than 0."); - factor = false; - System.out.println("Schur factorization has failed"); - } - f06ua = new F06UA("0", lde, n, e, lde, rwork); - norme = f06ua.eval(); - if(norme > Math.pow(x02aj.eval(), 0.75)){ - System.out.println("Norm of B-(Q*T*Z^T is much greater than 0."); - factor = false; - } - } - - if(factor){ - //Print eigenvalue details - System.out.printf("Number of eigenvalues for which SELCTG is true = %d\n", sdim); - System.out.println("(dimension of deflating subspaces)"); - - System.out.println(); - //Print selected (finite) generalized eigenvalues - System.out.println("Selected generalized eigenvalues"); - - //Store absolute values of eigenvalues for ranking - for(int i = 0; i < n; i++){ - work[i] = alpha[i].divide(beta[i]); - rwork[i] = NAGComplex.abs(work[i]); - } - - //Rank eigenvalues - ifail = 0; - M01DA m01da = new M01DA(rwork, 1, sdim, "Descending", iwork, ifail); - m01da.eval(); - - //Sort eigevalues in work - M01ED m01ed = new M01ED(work, 1, sdim, iwork, ifail); - m01ed.eval(); - for(int i = 0; i < sdim; i++){ - System.out.printf(" %d\t(%.2f, %.2f)\n", i + 1, work[i].getRe(), work[i].getIm()); - } - - if(info == n + 2){ - System.out.println("*** note that rounding errors mean that leading eigenvalues in"); - System.out.println("the generalized Schur form no longer satisfy SELCTG = TRUE"); - System.out.println(); - } - - if(prcond){ - //Compute the machine precision and sqrt(anorm^2 + bnorm^2) - X02AJ x02aj = new X02AJ(); - eps = x02aj.eval(); - F06BN f06bn = new F06BN(anorm, bnorm); - abnorm = f06bn.eval(); - tol = eps * abnorm; - - //Print out the reciprocal condition numbers and error bound for selected eigenvalues - System.out.println("Reciprocal condition numbers for the average of the selected"); - System.out.println("eigenvalues and their asymptotic error bound"); - System.out.printf("rcond-left = %.1e, rcond-right = %.1e, error = %.1e\n", rcondv[0], rcondv[1], tol/rcondv[1]); - } - } - else{ - System.out.println("Schur factorization has failed"); - } - - } - - /** - * Converts String read in from data file to NAGComplex value. - * @param s - * Complex number string - * @return new NAGComplex representing s - */ - public static NAGComplex parseComplex(String s){ - s = s.trim(); - double re = Double.parseDouble(s.substring(1, 7)); - double im = Double.parseDouble(s.substring(8)); - return new NAGComplex(re, im); - } - - /** - * Class representing function selctg implementing ZGGESX_SELCTG to pass to ZGGESX. - */ - public static class selctg extends ZGGESX.Abstract_ZGGESX_SELCTG{ - public boolean eval(){ - return (NAGComplex.abs((NAGComplex)this.A) < (6 * NAGComplex.abs((NAGComplex)this.B))); - } - } - -} diff --git a/simple_examples/int32/G01ALJE.java b/simple_examples/int32/G01ALJE.java deleted file mode 100644 index 672a151..0000000 --- a/simple_examples/int32/G01ALJE.java +++ /dev/null @@ -1,55 +0,0 @@ -import com.nag.routines.G01.G01AL; - -/** - * G01ALJ Example Program Text - * @author willa - * @since 27.1.0.0 - */ -public class G01ALJE{ - - /** - * G01ALJ Example main program - */ - public static void main(String[] args){ - int ifail, n; - double[] x, res; - int[] iwrk; - - res = new double[5]; - - System.out.println("G01ALJ Example Program Results"); - System.out.println(); - - //Problem size - n = 12; - - //Allocate - x = new double[n]; - iwrk = new int[n]; - - //Data - x[0] = 12; - x[1] = 9; - x[2] = 2; - x[3] = 5; - x[4] = 6; - x[5] = 8; - x[6] = 2; - x[7] = 7; - x[8] = 3; - x[9] = 1; - x[10] = 11; - x[11] = 10; - - //Calculate summary statistics - ifail = 0; - G01AL g01al = new G01AL(n, x, iwrk, res, ifail); - g01al.eval(); - - System.out.printf("Maximum %.4f\n", res[4]); - System.out.printf("Upper Hinge (75%% quantile) %.4f\n", res[3]); - System.out.printf("Median (50%% quantile) %.4f\n", res[2]); - System.out.printf("Lower Hinge (25%% quantile) %.4f\n", res[1]); - System.out.printf("Minimum %.4f\n", res[0]); - } -} diff --git a/simple_examples/int32/G02AKJE.java b/simple_examples/int32/G02AKJE.java deleted file mode 100644 index 8ddaff2..0000000 --- a/simple_examples/int32/G02AKJE.java +++ /dev/null @@ -1,68 +0,0 @@ -import com.nag.routines.G02.G02AK; -import com.nag.routines.X04.X04CA; - -/** - * G02AK example program text. - * @author joed - * @since 27.0.0.0 - */ -public class G02AKJE { - - /** - * G02AKJ example main program. - */ - public static void main(String[] args) { - - G02AK g02ak = new G02AK(); - X04CA x04ca = new X04CA(); - double errtol, f, rankerr, ranktol; - int i, ifail, ldg, ldx, maxit, maxits, n, nsub, rank; - double[] g, x; - - System.out.println("G02AKJ Example Program Results\n"); - - // Problem size - n = 4; - ldg = n; - ldx = n; - - // Rank constraint - rank = 2; - - // Matrix G (column-major) - g = new double[]{ - 2.0, -1.0, 0.0, 0.0, - -1.0, 2.0, -1.0, 0.0, - 0.0, -1.0, 2.0, -1.0, - 0.0, 0.0, -1.0, 2.0 - }; - - // Use the defaults for errtol, ranktol, maxits, maxit - errtol = 0.0; - ranktol = 0.0; - maxits = 0; - maxit = 0; - - // Calculate rank constrained nearest correlation matrix - ifail = 0; - x = new double[ldx*n]; - f = 0.0; - rankerr = 0.0; - nsub = 0; - g02ak.eval(g, ldg, n, rank, errtol, ranktol, maxits, maxit, x, ldx, f, - rankerr, nsub, ifail); - nsub = g02ak.getNSUB(); - f = g02ak.getF(); - rankerr = g02ak.getRANKERR(); - - // Display results - ifail = 0; - x04ca.eval("General", " ", n, n, x, ldx, "NCM with rank constraint", ifail); - System.out.println(); - System.out.printf("Number of subproblems solved: %12d\n\n", nsub); - System.out.printf("Squared Frobenius norm of difference: %9.4f\n\n", f); - System.out.printf("Rank error: %35.4f\n", rankerr); - - } - -} diff --git a/simple_examples/int32/G02BJJE.java b/simple_examples/int32/G02BJJE.java deleted file mode 100644 index 3de843e..0000000 --- a/simple_examples/int32/G02BJJE.java +++ /dev/null @@ -1,303 +0,0 @@ -import com.nag.routines.G02.G02BJ; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * G02BJ example program text. - * @author ludovic - */ -public class G02BJJE { - - public static void main(String[] args) { - int i, ifail, ldcnt, ldr, ldssp, ldx, ncases = 0; //, m = 0, n = 0, nvars = 0; - double[] cnt, r, ssp, std, xbar;//, xmiss; - - if (args.length != 1) { - G02BJJE.usage(); - } - - String dataFile = args[0]; - DataHolder data = new DataHolder(); - readDataFile(dataFile, data); - System.out.println(" G02BJJ Example Program Results"); - System.out.println(); - - ldcnt = ldr = ldssp = data.nvars; - ldx = data.n; - cnt = new double[ldcnt * data.nvars]; - r = new double[ldr * data.nvars]; - ssp = new double[ldssp * data.nvars]; - std = new double[data.nvars]; - xbar = new double[data.nvars]; - - - //Display the data - - System.out.printf(" Number of variables (columns) = %5d\n", data.m); - System.out.printf(" Number of cases (rows) = %5d\n", data.n); - System.out.println(); - System.out.println(" Data matrix is:-"); - for (int ii = 0; ii < data.m; ++ii) { - System.out.printf(" %12d",ii+1); - } - System.out.println(); - for (int ii = 0; ii < data.n; ++ii) { - System.out.printf(" %3d ",ii+1); - for (int jj = 0; jj < data.m; ++jj) { - System.out.printf("%12.4f ",data.x[ii + jj * data.n]); - } - System.out.println(); - } - - ifail = 0; - G02BJ g02bj = new G02BJ(data.n, data.m, data.x, ldx, data.miss, data.xmiss, - data.nvars, data.kvar, xbar, std, ssp, ldssp, r, ldr, ncases, cnt, - ldcnt, ifail); - g02bj.eval(); - - data.n = g02bj.getN(); - data.m = g02bj.getM(); - data.x = g02bj.getX(); - ldx = g02bj.getLDX(); - data.miss = g02bj.getMISS(); - data.xmiss = g02bj.getXMISS(); - data.nvars = g02bj.getNVARS(); - data.kvar = g02bj.getKVAR(); - xbar = g02bj.getXBAR(); - std = g02bj.getSTD(); - ssp = g02bj.getSSP(); - ldssp = g02bj.getLDSSP(); - r = g02bj.getR(); - ldr = g02bj.getLDR(); - ncases = g02bj.getNCASES(); - cnt = g02bj.getCNT(); - ldcnt = g02bj.getLDCNT(); - ifail = g02bj.getIFAIL(); - - //Display results - System.out.println(); - System.out.println(" Variable\tMean\tSt.dev."); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %5d %11.4f %11.4f\n",data.kvar[ii], xbar[ii], std[ii]); - } - System.out.println(); - System.out.println(" Sums of squares and cross-products of deviations"); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %12d",data.kvar[ii]); - } - System.out.println(); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %3d",data.kvar[ii]); - for (int jj = 0; jj < data.nvars; ++jj) { - System.out.printf(" %12.4f",ssp[ii + ldssp * jj]); - } - System.out.println(); - } - System.out.println(); - System.out.println(" Correlation coefficients"); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %12d",data.kvar[ii]); - } - System.out.println(); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %3d",data.kvar[ii]); - for (int jj = 0; jj < data.nvars; ++jj) { - System.out.printf(" %12.4f",r[ii + ldr * jj]); - } - System.out.println(); - } - System.out.println(); - System.out.printf(" Minimum number of cases used for any pair of variables: %5d\n", ncases); - System.out.println(); - System.out.println(" Numbers used for each pair are:"); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %12d",data.kvar[ii]); - } - System.out.println(); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %3d",data.kvar[ii]); - for (int jj = 0; jj < data.nvars; ++jj) { - System.out.printf(" %12.4f",cnt[ii + ldcnt * jj]); - } - System.out.println(); - } - System.out.println(); - } - - private static void usage() { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - /** - G02BJF Example Program Data - 5 4 3 :: N, M, NVARS - 3.0 3.0 1.0 2.0 - 6.0 4.0 -1.0 4.0 - 9.0 0.0 5.0 9.0 - 12.0 2.0 0.0 0.0 - -1.0 5.0 4.0 12.0 :: End of X - 1 1 0 1 :: MISS - -1.0 0.0 0.0 0.0 :: XMISS - 4 1 2 :: KVAR - */ - private static void readDataFile(String filename, DataHolder data) { - try { - BufferedReader br = new BufferedReader(new FileReader(filename)); - String line = br.readLine(); // skip header - line = br.readLine(); - String[] sVal = line.split("\\s+"); - data.setN(Integer.parseInt(sVal[0])); - data.setM(Integer.parseInt(sVal[1])); - data.setNvars(Integer.parseInt(sVal[2])); - - data.x = new double[data.n * data.m]; - data.miss = new int[data.m]; - data.xmiss = new double[data.m]; - data.kvar = new int[data.nvars]; - - for (int i = 0; i < data.n; ++i) { - line = br.readLine().trim(); - sVal = line.split("\\s+"); - for (int j = 0; j < data.m; ++j) { - data.x[i + j * data.n] = Double.parseDouble(sVal[j]); - } - } - line = br.readLine().trim(); - sVal = line.split("\\s+"); - for (int j = 0; j < data.m; ++j) { - data.miss[j] = Integer.parseInt(sVal[j]); - } - line = br.readLine().trim(); - sVal = line.split("\\s+"); - for (int j = 0; j < data.m; ++j) { - data.xmiss[j] = Double.parseDouble(sVal[j]); - } - - line = br.readLine().trim(); - sVal = line.split("\\s+"); - for (int j = 0; j < data.nvars; ++j) { - data.kvar[j] = Integer.parseInt(sVal[j]); - } - } - catch (FileNotFoundException ex) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch (IOException ex) { - System.err.println("***FATAL: Can't Read " + filename + "\n" + ex.getMessage()); - System.exit(-3); - } - - } - - private static class DataHolder { - private int n; - private int m; - private int nvars; - private double[] x; - private int[] miss; - private double[] xmiss; - private int[] kvar; - - /** - * @return the n - */ - public int getN() { - return n; - } - - /** - * @param n the n to set - */ - public void setN(int n) { - this.n = n; - } - - /** - * @return the m - */ - public int getM() { - return m; - } - - /** - * @param m the m to set - */ - public void setM(int m) { - this.m = m; - } - - /** - * @return the nvars - */ - public int getNvars() { - return nvars; - } - - /** - * @param nvars the nvars to set - */ - public void setNvars(int nvars) { - this.nvars = nvars; - } - - /** - * @return the x - */ - public double[] getX() { - return x; - } - - /** - * @param x the x to set - */ - public void setX(double[] x) { - this.x = x; - } - - /** - * @return the miss - */ - public int[] getMiss() { - return miss; - } - - /** - * @param miss the miss to set - */ - public void setMiss(int[] miss) { - this.miss = miss; - } - - /** - * @return the xmiss - */ - public double[] getXmiss() { - return xmiss; - } - - /** - * @param xmiss the xmiss to set - */ - public void setXmiss(double[] xmiss) { - this.xmiss = xmiss; - } - - /** - * @return the kvar - */ - public int[] getKvar() { - return kvar; - } - - /** - * @param kvar the kvar to set - */ - public void setKvar(int[] kvar) { - this.kvar = kvar; - } - } -} diff --git a/simple_examples/int32/G02BRJE.java b/simple_examples/int32/G02BRJE.java deleted file mode 100644 index 084f478..0000000 --- a/simple_examples/int32/G02BRJE.java +++ /dev/null @@ -1,134 +0,0 @@ -import com.nag.routines.G02.G02BR; - -/** - * G02BRJ Example Program Text - * @author willa - * @since 27.1.0.0 - */ -public class G02BRJE{ - - /** - * G02BRJ Example main program - */ - public static void main(String[] args){ - int ifail, itype, ldrr, ldx, m, n, ncases = 0; //placeholder - double[] rr, work1, work2, x, xmiss; - int[] incase, kworka, kworkb, kworkc, miss; - - System.out.println("G02BRJ Example Program Results"); - System.out.println(); - - //Problem size - n = 9; - m = 3; - itype = 0; - - ldrr = m; - ldx = n; - - //Allocate - rr = new double[ldrr * m]; - work1 = new double[n]; - work2 = new double[n]; - x = new double[ldx * m]; - xmiss = new double[m]; - incase = new int[n]; - kworka = new int[n]; - kworkb = new int[n]; - kworkc = new int[n]; - miss = new int[m]; - - //Data - //X = (1.70, 1.00, 0.50) - // (2.80, 4.00, 3.00) - // (0.60, 6.00, 2.50) - // (1.80, 9.00, 6.00) - // (0.99, 4.00, 2.50) - // (1.40, 2.00, 5.50) - // (1.80, 9.00, 7.50) - // (2.50, 7.00, 0.00) - // (0.99, 5.00, 3.00) - x[0] = 1.7; - x[1] = 2.8; - x[2] = 0.6; - x[3] = 1.8; - x[4] = 0.99; - x[5] = 1.4; - x[6] = 1.8; - x[7] = 2.5; - x[8] = 0.99; - x[9] = 1; - x[10] = 4; - x[11] = 6; - x[12] = 9; - x[13] = 4; - x[14] = 2; - x[15] = 9; - x[16] = 7; - x[17] = 5; - x[18] = 0.5; - x[19] = 3; - x[20] = 2.5; - x[21] = 6; - x[22] = 2.5; - x[23] = 5.5; - x[24] = 7.5; - x[25] = 0; - x[26] = 3; - - //Missing value flags - miss[0] = 1; - miss[1] = 0; - miss[2] = 1; - xmiss[0] = 0.99; - xmiss[1] = 0; - xmiss[2] = 0; - - //Display data - System.out.printf("Number of variables (columns) = %d\n", m); - System.out.printf("Number of case (rows) = %d\n", n); - System.out.println(); - System.out.println("Data matrix is:-\n"); - System.out.println(); - for(int i = 0; i < m; i++){ - System.out.printf("\t %d", i + 1); - } - System.out.println(); - for(int i = 0; i < n; i++){ - System.out.printf(" %d\t", i + 1); - for(int j = 0; j < m; j++){ - System.out.printf("%.4f\t", x[(j * n) + i]); - } - System.out.println(); - } - System.out.println(); - - //Calculate correlation coefficients - ifail = 0; - G02BR g02br = new G02BR(n, m, x, ldx, miss, xmiss, itype, rr, ldrr, ncases, incase, kworka, kworkb, kworkc, - work1, work2, ifail); - g02br.eval(); - - //Update - ncases = g02br.getNCASES(); - - //Display results - System.out.println("Matrix of rank correlation coefficients:"); - System.out.println("Upper triangle -- Spearman's"); - System.out.println("Lower triangle -- Kendall's tau"); - System.out.println(); - for(int i = 0; i < m; i++){ - System.out.printf("\t %d", i + 1); - } - System.out.println(); - for(int i = 0; i < m; i++){ - System.out.printf(" %d\t", i + 1); - for(int j = 0; j < m; j++){ - System.out.printf("%.4f\t", rr[(j * m) + i]); - } - System.out.println(); - } - System.out.println(); - System.out.printf("Number of cases actually used: %d\n", ncases); - } -} diff --git a/simple_examples/int32/G02DAJE.java b/simple_examples/int32/G02DAJE.java deleted file mode 100644 index c390197..0000000 --- a/simple_examples/int32/G02DAJE.java +++ /dev/null @@ -1,187 +0,0 @@ -import com.nag.routines.G02.G02BU; -import com.nag.routines.G02.G02DA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * G02DAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class G02DAJE{ - - /** - * G02DAJ Example main program - */ - public static void main(String[] args){ - double aic, arsq, en, mult, rsq, rss = 0, sw = 0, tol; - int idf = 0, ifail, ip, irank = 0, ldq, ldx, lwt, m, n; - boolean svd = false; - String mean, weight; - double[] b, cov, h, p, q, res, se, wk, wt, x, y, c, wmean; - int[] isx; - - System.out.println("G02DAJ Example Program Results"); - System.out.println(); - - c = new double[1]; - wmean = new double[1]; - - //Problem size (can be read in from data file - n = 12; - m = 4; - weight = "U"; - mean = "M"; - - if(weight.toLowerCase().equals("w")){ - lwt = n; - } - else{ - lwt = 0; - } - ldx = n; - - x = new double[ldx * m]; - y = new double[n]; - wt = new double[n]; - isx = new int[m]; - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - line = reader.readLine(); //skip n, m, weight, mean - - //Read in data - String[] sVal; - for(int i = 0; i < n; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int j = 0; j < m; j++){ - x[(j * n) + i] = Double.parseDouble(sVal[j]); - } - y[i] = Double.parseDouble(sVal[m]); - if(lwt > 0){ - wt[i] = Double.parseDouble(sVal[m + 1]); - } - } - - //Read in variable inclusion flags - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int i = 0; i < m; i++){ - isx[i] = Integer.parseInt(sVal[i]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - System.exit(-2); - } - - //Calcluate IP - ip = 0; - for(int i = 0; i < m; i++){ - if(isx[i] == 1){ - ip++; - } - } - if(mean.toLowerCase().equals("m")){ - ip = ip + 1; - } - - //Allocate - ldq = n; - b = new double[ip]; - cov = new double[((ip * ip) + ip)/2]; - h = new double[n]; - p = new double[ip * ip * (ip + 2)]; - q = new double[ldq * (ip + 1)]; - res = new double[n]; - se = new double[ip]; - wk = new double[ip * ip + (5 * (ip - 1))]; - - //Use suggested value for tolerance - tol = 0.000001; - - //fit general linear regression model - ifail = -1; - G02DA g02da = new G02DA(mean, weight, n, x, ldx, m, isx, ip, y, wt, rss, idf, b, se, cov, res, h, q, - ldq, svd, irank, p, tol, wk, ifail); - g02da.eval(); - ifail = g02da.getIFAIL(); - if(ifail != 0){ - if(ifail != 5){ - System.exit(-3); - } - } - - //Calculate (weighted) total sums of squares, adjusted for mean if required - //If in G02DAF, an intercept is added to the regression by including a comlumn of - //1's in X, rather than by using the MEAN argument then MEAN = "M" should be used - //in this call to G02BUF - ifail = 0; - G02BU g02bu = new G02BU(mean, weight, n, 1, y, n, wt, sw, wmean, c, ifail); - g02bu.eval(); - - idf = g02da.getIDF(); - irank = g02da.getIRANK(); - //Get effective number of observations (=N if there are no zero weights) - en = (double) idf + irank; - - rss = g02da.getRSS(); - //Calculate R-squared, corrected R-Squared and AIC - rsq = 1 - rss/c[0]; - if(mean.toLowerCase().equals("m")){ - mult = (en - 1) / (en - irank); - } - else{ - mult = en / (en - irank); - } - arsq = 1 - mult * (1 - rsq); - aic = en * Math.log(rss/en) + (2 * irank); - - svd = g02da.getSVD(); - //Disply results - if(svd){ - System.out.printf("Model not of full rank, rank = %d", irank); - System.out.println(); - } - System.out.printf("Residual sum of squares = %.4e\n", rss); - System.out.printf("Degrees of freedom = %d\n", idf); - System.out.printf("R-squared = %.4e\n", rsq); - System.out.printf("Adjusted R-squared = %.4e\n", arsq); - System.out.printf("AIC = %.4e\n", aic); - System.out.println(); - System.out.printf("Variable\tParameter estimate\tStandard error\n"); - System.out.println(); - if(ifail == 0){ - for(int i = 0; i < ip; i++){ - System.out.printf(" %d\t\t %.4e\t\t %.4e\n", (i + 1), b[i], se[i]); - } - } - else{ - for(int i = 0; i < ip; i++){ - System.out.printf(" %d\t\t %.4e\n", (i + 1), b[i]); - } - } - System.out.println(); - System.out.printf(" Obs\t\t Residuals\t\t H\n"); - System.out.println(); - for(int i = 0; i < n; i++){ - System.out.printf(" %d\t\t %.4e\t\t %.4e\n", (i + 1), res[i], h[i]); - } - - } -} diff --git a/simple_examples/int32/G02EEJE.java b/simple_examples/int32/G02EEJE.java deleted file mode 100644 index 5856fde..0000000 --- a/simple_examples/int32/G02EEJE.java +++ /dev/null @@ -1,184 +0,0 @@ -import com.nag.routines.G02.G02EE; -import java.io.*; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * G02EE example program text. - */ -public class G02EEJE { - - public static void main(String[] args) throws Exception { - int vnlen = 3; - double chrss, f, fin, rss; - rss = chrss = f = Double.NaN; - int idf = 0, ifail = 0, ifr = 0, istep = 0, ldq, ldx, lwt, m, maxip, n, nterm = 0; - boolean addvar = false; - String mean, weight, newvar; - newvar = " "; - double[] exss, p, q, wk, wt, x, y; - int[] isx; - String[] free, model, vname; - - System.out.println(" G02EEJ Example Program Results\n"); - - BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); - - String line = dataIn.readLine(); - - String[] data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); - - n = Integer.parseInt(data[0]); - m = Integer.parseInt(data[1]); - mean = data[2].substring(1,2); - weight = data[3].substring(1,2); - fin = Double.parseDouble(data[4]); - - if (weight.equalsIgnoreCase("W")) { - lwt = n; - } - else { - lwt = 0; - } - ldx = n; - - x = new double[ldx*m]; - y = new double[n]; - wt = new double[lwt]; - isx = new int[m]; - vname = new String[m]; - - for (int i = 0; i < vname.length;++i) { - StringBuilder tmp = new StringBuilder(); - for (int j = 0; j < vnlen; ++j) { - tmp.append(" "); - } - vname[i] = tmp.toString(); - } - - if (lwt > 0) { - for (int i = 0; i < n; ++i) { - data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); - for (int j = 0; j < m; ++j) { - x[i+j*ldx] = Double.parseDouble(data[j]); - } - y[i] = Double.parseDouble(data[m]); - wt[i] = Double.parseDouble(data[m+1]); - } - } - else { - for (int i = 0; i < n; ++i) { - data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); - for (int j = 0; j < m; ++j) { - x[i+j*ldx] = Double.parseDouble(data[j]); - } - y[i] = Double.parseDouble(data[m]); - } - } - data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); - for (int i = 0; i < m; ++i) { - isx[i] = Integer.parseInt(data[i]); - } - - data = dataIn.readLine().trim().split("::")[0].trim() - .replaceAll("^'","").replaceAll("'$","").split("'\\s+'"); - for (int i = 0; i < m; ++i) { - vname[i] = data[i].substring(0,3); - } - - dataIn.close(); - - maxip = 0; - for (int i = 0; i < m; ++i) { - if (isx[i] > 0) { - ++maxip; - } - } - - if (mean.equalsIgnoreCase("M")) { - maxip += 1; - } - - ldq = n; - model = new String[maxip]; - free = new String[maxip]; - exss = new double[maxip]; - q = new double[ldq*(maxip+2)]; - p = new double[maxip+1]; - wk = new double[2*maxip]; - - for (int i = 0; i < model.length; ++i) { - StringBuilder tmp = new StringBuilder(); - for (int j = 0; j < vnlen; ++j) { - tmp.append(" "); - } - model[i] = tmp.toString(); - } - for (int i = 0; i < free.length; ++i) { - StringBuilder tmp = new StringBuilder(); - for (int j = 0; j < vnlen; ++j) { - tmp.append(" "); - } - free[i] = tmp.toString(); - } - istep = 0; - ifail = -1; - - - G02EE g02ee = new G02EE(istep,mean,weight,n,m,x,ldx,vname,isx,maxip,y,wt,fin, - addvar,newvar,chrss,f,model,nterm,rss,idf,ifr,free,exss,q,ldq,p, - wk,ifail); - for (int i = 0; i < m; ++i) { - g02ee.setIFAIL(0); - g02ee.eval(); - - System.out.printf(" Step %2d\n",g02ee.getISTEP()); - if (!g02ee.getADDVAR()) { - System.out.printf(" No further variables added maximum F =%7.2f\n",g02ee.getF()); - System.out.print(" Free variables: "); - for (int j = 0; j < g02ee.getIFR(); ++j) { - System.out.print(" "+free[j]); - } - System.out.println(); - System.out.println(" Change in residual sums of squares for free variables:"); - for (int j = 0; j < g02ee.getIFR(); ++j) { - System.out.printf(" %9.4f",g02ee.getEXSS()[j]); - } - System.out.println(); - break; - } - else { - System.out.println(" Added variable is "+g02ee.getNEWVAR()); - System.out.printf(" Change in residual sum of squares = %12.4E\n",g02ee.getCHRSS()); - System.out.printf(" F Statistic = %7.2f\n",g02ee.getF()); - System.out.println(); - System.out.print(" Variables in model:"); - for (int j = 0; j < g02ee.getNTERM(); ++j) { - System.out.print(" "+g02ee.getMODEL()[j]); - } - System.out.println("\n"); - System.out.printf(" Residual sum of squares = %13.4E\n",g02ee.getRSS()); - System.out.printf(" Degrees of freedom = %2d\n",g02ee.getIDF()); - System.out.println(); - if (g02ee.getIFR() == 0) { - System.out.println(" No free variables remaining"); - break; - } - System.out.print(" Free variables: "); - for (int j = 0; j < g02ee.getIFR(); ++j) { - System.out.print(" "+free[j]); - } - System.out.println(); - System.out.println(" Change in residual sums of squares for free variables:"); - for (int j = 0; j < g02ee.getIFR(); ++j) { - System.out.printf(" %9.4f",g02ee.getEXSS()[j]); - } - System.out.println(); - - } - - } - - } - -} diff --git a/simple_examples/int32/G02MAJE.java b/simple_examples/int32/G02MAJE.java deleted file mode 100644 index 4a8bfcb..0000000 --- a/simple_examples/int32/G02MAJE.java +++ /dev/null @@ -1,130 +0,0 @@ -import com.nag.routines.G02.G02MA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.util.Arrays; - -/** - * G02MAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class G02MAJE{ - - /** - * G02MAJ example main program - */ - public static void main(String[] args){ - int ifail, ip, ldb, ldd, lisx, lropt, m, mnstep, mtype, n, nstep = 0, pred, prey; - double[] b, d, fitsum, ropt, y; - int[] isx; - - isx = new int[0]; //placeholder - - System.out.println("G02MAJ Example Program Results"); - System.out.println(); - - //data (Could also read in from data file) - //Problem size - n = 20; - m = 6; - - //Model Specification - mtype = 1; - pred = 3; - prey = 1; - mnstep = 6; - lisx = 0; - - //Variable inclusion flags aren't needed in this example - ip = m; - - //Optional arguments (using defaults) - lropt = 0; - ropt = new double[lropt]; - - //D and Y - ldd = n; - y = new double[n]; - d = new double[ldd * m]; - - //Read in D and Y from data file (too large to write out) - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - line = reader.readLine(); //skip N, M - line = reader.readLine(); //skip mtype, pred, prey, mnstep, lisx - - String sVal[]; - - for(int i = 0; i < n; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int j = 0; j < m; j++){ - d[(j * n) + i] = Double.parseDouble(sVal[j]); - } - y[i] = Double.parseDouble(sVal[m]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - System.exit(-2); - } - - //Allocate output arrays - ldb = ip; - b = new double[ldb * (mnstep + 2)]; - fitsum = new double[6 * (mnstep + 1)]; - - //Call the model fitting routine - ifail = -1; - G02MA g02ma = new G02MA(mtype, pred, prey, n, m, d, ldd, isx, lisx, y, mnstep, ip, nstep, b, ldb, - fitsum, ropt, lropt, ifail); - g02ma.eval(); - ifail = g02ma.getIFAIL(); - if(ifail != 0){ - if(ifail != 112 && ifail != 161 && ifail != 162 && ifail !=163){ - //ifail = 112, 161, 162, 163 are warnings, so no need to terminate - System.exit(-2); - } - } - - //update - nstep = g02ma.getNSTEP(); - - //Display the parameter estimates - System.out.printf(" Step\t\t\tParameter Estimate\n"); - System.out.println("------------------------------------------------------"); - for(int i = 0; i < nstep; i++){ - System.out.printf(" %d", (i + 1)); - for(int j = 0; j < ip; j++){ - System.out.printf("\t%.3f", b[j + (i * nstep)]); - } - System.out.printf("\n"); - } - System.out.println(); - System.out.printf("alpha: %.3f\n", fitsum[nstep * 6]); - System.out.println(); - System.out.printf(" Step Sum\tRSS\t df\t Cp\t Ck\tStep Size\n"); - System.out.println("---------------------------------------------------------"); - for(int k = 0; k < nstep; k++){ - System.out.printf(" %d %.3f\t%.3f %d\t %.3f\t %.3f %.3f\n", (k + 1), fitsum[k * nstep], fitsum[(k * nstep) + 1], - (int)(Math.floor(fitsum[(k + nstep) + 2] + 0.5)), fitsum[(k * nstep) + 3], - fitsum[(k * nstep) + 4], fitsum[(k * nstep) + 5]); - } - System.out.println(); - System.out.printf("sigma^2: %.3f\n", fitsum[(nstep * 6) + 4]); - } -} diff --git a/simple_examples/int32/G03GAJE.java b/simple_examples/int32/G03GAJE.java deleted file mode 100644 index ba20592..0000000 --- a/simple_examples/int32/G03GAJE.java +++ /dev/null @@ -1,355 +0,0 @@ -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.util.Arrays; -import com.nag.routines.G03.G03GA; -import com.nag.routines.X04.X04CA; -import com.nag.routines.Routine; - -/** - * G03GAJ example program text. - * @author willa - * @since 27.0.0.0 - */ -public class G03GAJE{ - - /** - * G03GAJ example main program. - */ - public static void main(String[] args){ - int i, ldx, lprob, riter, lds, sds, ifail = 0; - double[] w, g, s, f; - double tol, loglik = 0; - - if(args.length != 1){ - G03GAJE.usage(); - } - - // Data file name as argument - String filename = args[0]; - // DataHolder object to hold data read in from data file - DataHolder data = new DataHolder(); - - readDataFile(filename, data); - - System.out.println(" G03GAJ Example Program Results"); - System.out.println(); - - // Leading dimensions - ldx = data.n; - lprob = data.n; - - - switch(data.sopt){ - case 1: - s = new double[data.nvar * data.nvar * data.ng]; - lds = data.nvar; - sds = data.nvar; - break; - case 2: - s = new double[data.nvar * data.nvar * 1]; - lds = data.nvar; - sds = data.nvar; - break; - case 3: - s = new double[data.nvar * data.ng * 1]; - lds = data.nvar; - sds = data.ng; - break; - case 4: - s = new double[data.nvar * 1 * 1]; - lds = data.nvar; - sds = 1; - break; - default: - s = new double[1 * 1 * 1]; - lds = 1; - sds = 1; - break; - } - - // Allocate array size - g = new double[data.nvar * data.ng]; - w = new double[data.ng]; - f = new double[data.n * data.ng]; - tol = 0.0; - riter = 5; - - ifail = 0; - - // Create g03ga object with variables from data file - G03GA g03ga = new G03GA(data.n, data.m, data.x, ldx, data.isx, data.nvar, data.ng, data.popt, data.prob, - lprob, data.niter, riter, w, g, data.sopt, s, lds, sds, f, tol, loglik, ifail); - - // Run routine - g03ga.eval(); - - // Update variables - data.n = g03ga.getN(); - data.m = g03ga.getM(); - data.x = g03ga.getX(); - ldx = g03ga.getLDX(); - data.isx = g03ga.getISX(); - data.nvar = g03ga.getNVAR(); - data.ng = g03ga.getNG(); - data.popt = g03ga.getPOPT(); - data.prob = g03ga.getPROB(); - lprob = g03ga.getLPROB(); - data.niter = g03ga.getNITER(); - riter = g03ga.getRITER(); - w = g03ga.getW(); - g = g03ga.getG(); - data.sopt = g03ga.getSOPT(); - s = g03ga.getS(); - lds = g03ga.getLDS(); - sds = g03ga.getSDS(); - f = g03ga.getF(); - tol = g03ga.getTOL(); - loglik = g03ga.getLOGLIK(); - ifail = g03ga.getIFAIL(); - - // Results - X04CA x04ca = new X04CA(); - - System.out.println(); - ifail = 0; - x04ca.eval("g", "n", 1, data.ng, w, 1, "Mixing proportions", ifail); - - System.out.println(); - ifail = 0; - x04ca.eval("g", "n", data.nvar, data.ng, g, data.nvar, "Group means", ifail); - - System.out.println(); - switch(data.sopt){ - case 1: - for(i = 0; i < data.ng; i++){ - ifail = 0; - // Wrapper returns a 1-dimensional array so X04CA has to be called like this to mimic - // calling X04CA along the 3rd dimension - x04ca.eval("g", "n", data.nvar, data.nvar, - Arrays.copyOfRange(s, (i * (data.nvar * data.nvar)), (data.nvar * data.nvar * data.ng)), - lds, "Variance-cavariance matrix", ifail); - } - break; - case 2: - ifail = 0; - x04ca.eval("g", "n", data.nvar, data.nvar, s, lds, "Pooled Variance-covariance matrix", ifail); - break; - case 3: - ifail = 0; - x04ca.eval("g", "n", data.nvar, data.ng, s, lds, "Groupwise Variance", ifail); - break; - case 4: - ifail = 0; - x04ca.eval("g", "n", data.nvar, 1, s, lds, "Pooled Variance", ifail); - break; - case 5: - ifail = 0; - x04ca.eval("g", "n", 1, 1, s, lds, "Overall Variance", ifail); - break; - } - - System.out.println(); - ifail = 0; - x04ca.eval("g", "n", data.n, data.ng, f, data.n, "Densities", ifail); - - System.out.println(); - ifail = 0; - x04ca.eval("g", "n", data.n, data.ng, data.prob, data.n, "Membership probabilities", ifail); - - System.out.println(); - System.out.println("No. iterations: " + data.niter); - System.out.printf("Log-likelihood: %.04f\n", loglik); - } - - /** - * Read data from given filename and puts into DataHolder object - * @param filename - * Name of data file (absolute or relative path) - * @param data - * DataHolder object to store data from data file - */ - public static void readDataFile(String filename, DataHolder data){ - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - // Problem size - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - data.setN(Integer.parseInt(sVal[0])); - data.setM(Integer.parseInt(sVal[1])); - data.setNvar(Integer.parseInt(sVal[2])); - - // Number of groups - line = reader.readLine(); - sVal = line.split("\\s+"); - data.setNg(Integer.parseInt(sVal[0])); - - // Scaling option - line = reader.readLine(); - sVal = line.split("\\s+"); - data.setSopt(Integer.parseInt(sVal[0])); - - // Initial probabilities option - line = reader.readLine(); - sVal = line.split("\\s+"); - data.setPopt(Integer.parseInt(sVal[0])); - - // Maximum number of iterations - line = reader.readLine(); - sVal = line.split("\\s+"); - data.setNiter(Integer.parseInt(sVal[0])); - - // - data.x = new double[data.m * data.n]; - data.prob = new double[data.ng * data.n]; - data.isx = new int[data.m]; - - //Data matrix X - for(int i = 0; i < data.n; ++i){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int j = 0; j < data.m; ++j){ - data.x[i + (j * data.n)] = Double.parseDouble(sVal[j]); - } - } - - //Included variables - if(data.nvar != data.m){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int i = 0; i < data.m; ++i){ - data.isx[i] = Integer.parseInt(sVal[i]); - } - } - - - //Optionally read initial probabilities of group memebership (included in example data) - if(data.popt == 2){ - for(int i = 0; i < data.n; ++i){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int j = 0; j < data.ng; ++j){ - data.prob[i + (j * data.n)] = Double.parseDouble(sVal[j]); - } - } - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - - } - - /** - * Stores data from data file for later reference - */ - private static class DataHolder{ - private int n; - private int m; - private int nvar; - private int ng; - private int sopt; - private int popt; - private int niter; - private int isx[]; - private double x[]; - private double prob[]; - - public void setN(int n){ - this.n = n; - } - - public int getN(){ - return n; - } - - public void setM(int m){ - this.m = m; - } - - public int getM(){ - return m; - } - - public void setNvar(int nvar){ - this.nvar = nvar; - } - - public int getNvar(){ - return nvar; - } - - public void setNg(int ng){ - this.ng = ng; - } - - public int getNg(){ - return ng; - } - - public void setSopt(int sopt){ - this.sopt = sopt; - } - - public int getSopt(){ - return sopt; - } - - public void setPopt(int popt){ - this.popt = popt; - } - - public int getPopt(){ - return popt; - } - - public void setNiter(int niter){ - this.niter = niter; - } - - public int getNiter(){ - return niter; - } - - public void setIsx(int[] isx){ - this.isx = isx; - } - - public int[] getIsx(){ - return isx; - } - - public void setX(double[] x){ - this.x = x; - } - - public double[] getX(){ - return x; - } - - public void setProb(double[] prob){ - this.prob = prob; - } - - public double[] getProb(){ - return prob; - } - } - - /** - * No arguments supplied when example runs - */ - private static void usage() { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} - diff --git a/simple_examples/int32/G05KFJE.java b/simple_examples/int32/G05KFJE.java deleted file mode 100644 index 18ce755..0000000 --- a/simple_examples/int32/G05KFJE.java +++ /dev/null @@ -1,105 +0,0 @@ -import com.nag.routines.G05.G05KF; -import com.nag.routines.G05.G05SA; -import com.nag.routines.Routine; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * G05KFJ example program text. - * @author willa - * @since 27.0.0.0 - */ -public class G05KFJE{ - - /** - * G05KFJ example main program. - */ - public static void main(String[] args){ - //genid, subid only initilised so they can be set in try{} without java throwing error - int lseed = 1, nin = 5, nout = 6, genid = 0, n = 0, subid = 0; - int ifail, lstate; - int[] seed, state; - double x[]; - - System.out.println("G05KFJ Example Program Results"); - System.out.println(); - - //No file input given - if(args.length != 1){ - G05KFJE.usage(); - } - - seed = new int[lseed]; - - //Read in data from data fiel - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //Read in the base generator information and seed - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - genid = Integer.parseInt(sVal[0]); - subid = Integer.parseInt(sVal[1]); - seed[0] = Integer.parseInt(sVal[2]); - - //Read in sample size - line = reader.readLine(); - sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[0]); - - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - lstate = 0; - ifail = 0; - state = new int[lstate]; - - //Initial call to get size of STATE array - G05KF g05kf = new G05KF(genid, subid, seed, lseed, state, lstate, ifail); - g05kf.eval(); - - //Update local variables - lstate = g05kf.getLSTATE(); - state = g05kf.getSTATE(); - - //Reallocate STATE - state = new int[lstate]; - - //Update object variables - g05kf.setSTATE(state); - g05kf.eval(); - - //Update local variables - state = g05kf.getSTATE(); - - x = new double[n]; - - //Generate the variates - ifail = 0; - G05SA g05sa = new G05SA(n, state, x, ifail); - g05sa.eval(); - - //Display the variates - for(int i = 0; i < x.length; i++){ - System.out.printf("%.4f\n", x[i]); - } - } - - /** - * Print usage information. - */ - private static void usage(){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} diff --git a/simple_examples/int32/G13AWJE.java b/simple_examples/int32/G13AWJE.java deleted file mode 100644 index 9e829bd..0000000 --- a/simple_examples/int32/G13AWJE.java +++ /dev/null @@ -1,31 +0,0 @@ -import com.nag.routines.G01.G01EW; -import com.nag.routines.G13.G13AW; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * G13AW example program text. - */ -public class G13AWJE { - - public static void main(String[] args) { - - int n = 30, type = 1, p = 1, ifail = 1, method = 1, nsamp = 0; - double[] y = {-217.,-177.,-166.,-136.,-110.,-95.,-64.,-37.,-14.,-25.,-51., - -62.,-73.,-88.,-113.,-120.,-83.,-33.,-19.,21.,17.,44.,44.,78., - 88.,122.,126.,114.,85.,64}; - int[] state = new int[1]; - G13AW g13aw = new G13AW(type, p, n, y, ifail); - System.out.println(" G13AWJ Example Program Results\n"); - double ts = g13aw.eval(); - G01EW g01ew = new G01EW(method,type,n,ts,nsamp,state,ifail); - double pvalue = g01ew.eval(); - ifail = g01ew.getIFAIL(); - if (ifail == 0 || ifail == 201) { - System.out.printf("Dickey-Fuller test statistic = %6.3f\n", ts); - System.out.printf("associated p-value = %6.3f\n", pvalue); - } - - } - -} diff --git a/simple_examples/int32/G13MEJE.java b/simple_examples/int32/G13MEJE.java deleted file mode 100644 index a768a46..0000000 --- a/simple_examples/int32/G13MEJE.java +++ /dev/null @@ -1,160 +0,0 @@ -import com.nag.routines.G13.G13ME; - -/** - * G13MEJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class G13MEJE{ - - /** - * G13MEJ main program - */ - public static void main(String[] args){ - double tau; - int ifail, lrcomm, m, nb, pn; - double[] iema, rcomm, sinit, t; - int[] inter, nbVal; - - inter = new int[2]; - - System.out.println("G13MEJ Example Program Results"); - System.out.println(); - - //data (can read in from data file) - //Number of iteration required - m = 2; - - //Decay parameter and interpolation method - tau = 2; - inter[0] = 3; - inter[1] = 2; - - //Initial values - sinit = new double[m + 2]; - sinit[0] = 5; - sinit[1] = 0.5; - sinit[2] = 0.5; - sinit[3] = 0.5; - - //Array of NB values in order - nbVal = new int[3]; - nbVal[0] = 5; - nbVal[1] = 10; - nbVal[2] = 15; - - //First block - double[] t1 = new double[nbVal[0]]; - double[] iema1 = new double[nbVal[0]]; - t1[0] = 7.5; - t1[1] = 8.2; - t1[2] = 18.1; - t1[3] = 22.8; - t1[4] = 25.8; - iema1[0] = 0.6; - iema1[1] = 0.6; - iema1[2] = 0.8; - iema1[3] = 0.1; - iema1[4] = 0.2; - - //Second block - double[] t2 = new double[nbVal[1]]; - double[] iema2 = new double[nbVal[1]]; - t2[0] = 26.8; - t2[1] = 31.1; - t2[2] = 38.4; - t2[3] = 45.9; - t2[4] = 48.2; - t2[5] = 48.9; - t2[6] = 57.9; - t2[7] = 58.5; - t2[8] = 63.9; - t2[9] = 65.2; - iema2[0] = 0.2; - iema2[1] = 0.5; - iema2[2] = 0.7; - iema2[3] = 0.1; - iema2[4] = 0.4; - iema2[5] = 0.7; - iema2[6] = 0.8; - iema2[7] = 0.3; - iema2[8] = 0.2; - iema2[9] = 0.5; - - //Third block - double[] t3 = new double[nbVal[2]]; - double[] iema3 = new double[nbVal[2]]; - t3[0] = 66.6; - t3[1] = 67.4; - t3[2] = 69.3; - t3[3] = 69.9; - t3[4] = 73.0; - t3[5] = 75.6; - t3[6] = 77.0; - t3[7] = 84.7; - t3[8] = 86.8; - t3[9] = 88.0; - t3[10] = 88.5; - t3[11] = 91.0; - t3[12] = 93.0; - t3[13] = 93.7; - t3[14] = 94.0; - iema3[0] = 0.2; - iema3[1] = 0.3; - iema3[2] = 0.8; - iema3[3] = 0.6; - iema3[4] = 0.1; - iema3[5] = 0.7; - iema3[6] = 0.9; - iema3[7] = 0.6; - iema3[8] = 0.3; - iema3[9] = 0.1; - iema3[10] = 0.1; - iema3[11] = 0.4; - iema3[12] = 1.0; - iema3[13] = 1.0; - iema3[14] = 0.1; - - //Print some titles - System.out.printf("\t\t\tIterated\n"); - System.out.println("\t\tTime\t EMA\n"); - System.out.println("--------------------------------"); - - lrcomm = 20 + m; - rcomm = new double[lrcomm]; - - pn = 0; - - //Loop through 3 blocks - for(int i = 0; i < nbVal.length; i++){ - //nb for given block - nb = nbVal[i]; - - //Use data for current block - if(i == 0){ - t = t1; - iema = iema1; - } - else if(i == 1){ - t = t2; - iema = iema2; - } - else{ - t = t3; - iema = iema3; - } - - ifail = 0; - G13ME g13me = new G13ME(nb, iema, t, tau, m, sinit, inter, pn, rcomm, lrcomm, ifail); - g13me.eval(); - pn = g13me.getPN(); - - //Display results for this block of data - for(int j = 0; j < nb; j++){ - System.out.printf("\t%d\t%.1f\t%.3f\n", pn - nb + (j + 1), t[j], iema[j]); - } - System.out.println(); - } - } -} - diff --git a/simple_examples/int32/G13NAJE.java b/simple_examples/int32/G13NAJE.java deleted file mode 100644 index 2032eb1..0000000 --- a/simple_examples/int32/G13NAJE.java +++ /dev/null @@ -1,123 +0,0 @@ -import com.nag.routines.G13.G13NA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * G13NAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class G13NAJE{ - - /** - * G13NAJ example main program - */ - public static void main(String[] args){ - double beta = 0; - int ctype = 0, ifail, iparam = 0, minss = 0, n = 0, ntau = 0; //placeholder - double[] param, sparam, y; - int[] tau; - - param = new double[1]; - //Placeholder y to be read in from data file - y = new double[0]; - - System.out.println("G13NAJ Example Program Results"); - System.out.println(); - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //Read in the problem size - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[0]); - - //Allocate enough size to hold the input series - y = new double[n]; - - //Read in the input series - for(int i = 0; i < 10; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int j = 0; j < 10; j++){ - y[(i * 10) + j] = Double.parseDouble(sVal[j]); - } - } - - //Read in the type of change point, penalty and minimum segment size - line = reader.readLine(); - sVal = line.split("\\s+"); - ctype = Integer.parseInt(sVal[0]); - iparam = Integer.parseInt(sVal[1]); - beta = Double.parseDouble(sVal[2]); - minss = Integer.parseInt(sVal[3]); - - //Read in the distribution parameter (if required) - if(iparam == 1){ - line = reader.readLine(); - sVal = line.split("\\s+"); - param[0] = Double.parseDouble(sVal[0]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - System.exit(-2); - } - - //Output arrays - tau = new int[n]; - sparam = new double[(2 * n) + 2]; - - ifail = -1; - - //Call routine to detece change points - G13NA g13na = new G13NA(ctype, n, y, beta, minss, iparam, param, ntau, tau, sparam, ifail); - g13na.eval(); - - //update - ifail = g13na.getIFAIL(); - ctype = g13na.getCTYPE(); - ntau = g13na.getNTAU(); - - if(ifail == 0 || ifail == 200 || ifail == 201){ - //Display the results - if(ctype == 5 || ctype == 6){ - //Exponential or Poisson distribtion - System.out.printf(" -- Charge Points -- Distribution\n"); - System.out.printf(" Number Position Parameter \n"); - System.out.println("====================================="); - for(int i = 0; i < ntau; i++){ - System.out.printf(" %d\t %d\t%.2f", i + 1, tau[i], sparam[i]); - } - - } - else{ - //Normal of Gamma distribution - System.out.printf(" -- Charge Points -- --- Distribution ---\n"); - System.out.printf(" Number Position Parameters\n"); - System.out.println("================================================="); - for(int i = 0; i < ntau; i++){ - System.out.printf(" %d\t %d\t %.2f\t %.2f\n", (i + 1), tau[i], sparam[2 * i], sparam[(2 * i) + 1]); - } - } - } - if(ifail == 200 || ifail == 201){ - System.out.println("Some truncation occured internally to avoid overflow"); - } - } -} diff --git a/simple_examples/int32/H02BBJE.java b/simple_examples/int32/H02BBJE.java deleted file mode 100644 index 04f4207..0000000 --- a/simple_examples/int32/H02BBJE.java +++ /dev/null @@ -1,92 +0,0 @@ -import com.nag.routines.H.H02BB; - -/** - * H02BBJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class H02BBJE{ - - /** - * H02BBJ example main program - */ - public static void main(String[] args){ - double bigbnd, objmip = 0, tolfes, toliv; - int ifail, intfst, itmax, lda, liwork, lrwork, m, maxdpt, maxnod, msglvl, n; - double[] a, bl, bu, cvec, rwork, x; - int[] intvar, iwork; - - System.out.println("H02BBJ Example Program Results"); - System.out.println(); - - //Data (can be read in from data file) - n = 2; - m = 3; - lda = m; - - a = new double[lda * n]; - bl = new double[m + n]; - bu = new double[m + n]; - cvec = new double[n]; - x = new double[n]; - intvar = new int[n]; - - itmax = 0; - msglvl = 10; - maxnod = 0; - intfst = 0; - maxdpt = 4; - tolfes = 0; - toliv = 0; - - cvec[0] = -3; - cvec[1] = -4; - - //A = ( 2, 5) - // ( 2, -2) - // ( 3, 2) - a[0] = 2; - a[1] = 2; - a[2] = 3; - a[3] = 5; - a[4] = -2; - a[5] = 2; - - bigbnd = 1E+20; - - bl[0] = 0; - bl[1] = 0; - bl[2] = -1E+20; - bl[3] = -1E+20; - bl[4] = 5; - - bu[0] = 1E+20; - bu[1] = 1E+20; - bu[2] = 15; - bu[3] = 5; - bu[4] = 1E+20; - - intvar[0] = 1; - intvar[1] = 1; - - x[0] = 1; - x[1] = 1; - - liwork = ((25 + n + m) * maxdpt) + (5 * n) + m + 4; - //Math.pow() needs to be casted to int in java - lrwork = (maxdpt * (n + 1)) + (2 * (int)Math.pow(Math.min(n, m + 1), 2)) + (14 * n) + (12 * m); - iwork = new int[liwork]; - rwork = new double[lrwork]; - - ifail = 0; - - H02BB h02bb = new H02BB(itmax, msglvl, n, m, a, lda, bl, bu, intvar, cvec, maxnod, intfst, maxdpt, toliv, - tolfes, bigbnd, x, objmip, iwork, liwork, rwork, lrwork, ifail); - h02bb.eval(); - } -} - - - - - diff --git a/simple_examples/int32/H02DAJE.java b/simple_examples/int32/H02DAJE.java deleted file mode 100644 index 6e90401..0000000 --- a/simple_examples/int32/H02DAJE.java +++ /dev/null @@ -1,228 +0,0 @@ -import com.nag.routines.H.H02DA; -import com.nag.routines.H.H02ZK; -import com.nag.routines.H.H02ZL; -import com.nag.routines.X04.X04CA; -import java.util.Arrays; - -/** - * H02DAJ exmaple program text - * @author willa - * @since 27.1.0.0 - */ -public class H02DAJE{ - - /** - * H02DAJ example main program - */ - public static void main(String[] args){ - double acc, accqp = 0, objmip = 0; - int ifail, ivalue = 0, lda, liopts, lopts, maxit, n, nclin, ncnln, optype = 0; - String cvalue; - double[] a, ax, bl, bu, c, cjac, d, objgrd, x, opts, ruser; - int[] iopts, iuser, varcon; - - System.out.println("H02DAJ Example Program Results"); - System.out.println(); - - opts = new double[100]; - ruser = new double[1]; - iopts = new int[200]; - iuser = new int[1]; - - //Blank 40 character string to represent ```Character (40) :: cvalue``` - char[] ch = new char[40]; - Arrays.fill(ch, ' '); - cvalue = new String(ch); - - n = 8; - nclin = 5; - ncnln = 2; - lda = nclin; - - a = new double[lda * n]; - d = new double[nclin]; - ax = new double[nclin]; - bl = new double[n]; - bu = new double[n]; - varcon = new int[n + nclin + ncnln]; - x = new double[n]; - c = new double[ncnln]; - cjac = new double[ncnln * n]; - objgrd = new double[n]; - - //Set variable types: continuous then binary - varcon[0] = 0; - varcon[1] = 0; - varcon[2] = 0; - varcon[3] = 0; - varcon[4] = 1; - varcon[5] = 1; - varcon[6] = 1; - varcon[7] = 1; - - //Set continuous variable bounds - bl[0] = 0; - bl[1] = 0; - bl[2] = 0; - bl[3] = 0; - bu[0] = 1000; - bu[1] = 1000; - bu[2] = 1000; - bu[3] = 1000; - - //Bounds for binary variables need not be provided - bl[4] = 0; - bl[5] = 0; - bl[6] = 0; - bl[7] = 0; - bu[4] = 1; - bu[5] = 1; - bu[6] = 1; - bu[7] = 1; - - //Set linear constraint, equality first - varcon[n] = 3; - varcon[n + 1] = 4; - varcon[n + 2] = 4; - varcon[n + 3] = 4; - varcon[n + 4] = 4; - - //Set Ax=d then Ax>=d - //( 1, 1, 1, 1, 0, 0, 0, 0) - //(-1, 0, 0, 0, 1, 0, 0, 0) - //( 0,-1, 0, 0, 0, 1, 0, 0) - //( 0, 0,-1, 0, 0, 0, 1, 0) - //( 0, 0, 0,-1, 0, 0, 0, 1) - a[0] = 1; - a[1] = -1; - a[5] = 1; - a[7] = -1; - a[10] = 1; - a[13] = -1; - a[15] = 1; - a[19] = -1; - a[21] = 1; - a[27] = 1; - a[33] = 1; - a[39] = 1; - d[0] = 1; - d[1] = 0; - d[2] = 0; - d[3] = 0; - d[4] = 0; - - //Set constraints supplied by CONFUN, equality first - varcon[n + nclin] = 3; - varcon[n + nclin + 1] = 4; - - liopts = iopts.length; - lopts = opts.length; - - //Initialize communication arrays - ifail = 0; - H02ZK h02zk = new H02ZK("Initialize = H02DAF", iopts, liopts, opts, lopts, ifail); - h02zk.eval(); - - - //Optimization parameters - maxit = 500; - acc = 0.000001; - - //Initial estimate (binary variables need not be given) - x[0] = 1; - x[1] = 1; - x[2] = 1; - x[3] = 1; - x[4] = 0; - x[5] = 0; - x[6] = 0; - x[7] = 0; - - //Portfolio parameters p and rho - iuser[0] = 3; - ruser[0] = 10; - - ifail = 0; - //Create objfun1, confun1 to pass to H02DA representing repsecitve subroutines - objfun objfun1 = new objfun(); - confun confun1 = new confun(); - H02DA h02da = new H02DA(n, nclin, ncnln, a, lda, d, ax, bl, bu, varcon, x, confun1, c, cjac, objfun1, - objgrd, maxit, acc, objmip, iopts, opts, iuser, ruser, ifail); - h02da.eval(); - - //Results - ifail = h02da.getIFAIL(); - if(ifail == 0){ - X04CA x04ca = new X04CA("G", "N", n, 1, x, n, "Final Esimate:", ifail); - x04ca.eval(); - - //Query the accuracy of the mixed integer QP Solver - ifail = -1; - H02ZL h02zl = new H02ZL("QP Accuracy", ivalue, accqp, cvalue, optype, iopts, opts, ifail); - h02zl.eval(); - - //Update values to print - accqp = h02zl.getRVALUE(); - objmip = h02da.getOBJMIP(); - ifail = h02zl.getIFAIL(); - if(ifail == 0){ - System.out.printf("Requested accuracy of QP subproblems\t%.4e\n", accqp); - } - System.out.printf("Optimised value:\t%.3f\n", objmip); - } - else{ - System.out.printf("h02daf returns ifail = %d\n", ifail); - } - } - - /** - * objfun class extending Abstract_H02DA_OBJFUN to represent objfun subroutine for passing to H02DA - */ - public static class objfun extends H02DA.Abstract_H02DA_OBJFUN{ - public void eval(){ - if(this.MODE == 0){ - //Objective value - this.OBJMIP = (this.X[0] * ((4 * this.X[0]) + (3 * this.X[1]) - this.X[2])) - + (this.X[1] * ((3 * this.X[0]) + (6 * this.X[1]) + this.X[2])) - + (this.X[2] * (this.X[1] - this.X[0] + (10 * this.X[2]))); - } - else{ - //Objective gradients for continous varaiables - this.OBJGRD[0] = (8 * this.X[0]) + (6 * this.X[1]) - (2 * this.X[2]); - this.OBJGRD[1] = (6 * this.X[0]) + (12 * this.X[1]) + (2 * this.X[2]); - this.OBJGRD[2] = (2 * (this.X[1] - this.X[0])) + (20 * this.X[2]); - this.OBJGRD[3] = 0; - } - } - } - - /** - * confun class extending Abstract_H02DA_CONFUN to represent confun subroutine for passing to H02DA - */ - public static class confun extends H02DA.Abstract_H02DA_CONFUN{ - public void eval(){ - if(this.MODE == 0){ - //Constraints - int p = this.IUSER[0]; - double rho = this.RUSER[0]; - - //Mean return rho: - this.C[0] = (8 * this.X[0]) + (9 * this.X[1]) + (12 * this.X[2]) + (7 * this.X[3]) - rho; - //Maximum of p assets in portfolio - this.C[1] = p - this.X[4] - this.X[5] - this.X[6] - this.X[7]; - } - else{ - //Jacobian - this.CJAC[0] = 8; - this.CJAC[2] = 9; - this.CJAC[4] = 12; - this.CJAC[6] = 7; - //c[2] does not include continuours varaibles which requries that their derivatives are zero - this.CJAC[1] = 0; - this.CJAC[3] = 0; - this.CJAC[5] = 0; - this.CJAC[7] = 0; - } - } - } -} diff --git a/simple_examples/int32/M01CCJE.java b/simple_examples/int32/M01CCJE.java deleted file mode 100644 index fda5e2f..0000000 --- a/simple_examples/int32/M01CCJE.java +++ /dev/null @@ -1,42 +0,0 @@ -import com.nag.routines.M01.M01CC; -import java.io.*; - -/** - * M01CC example program text. - */ -public class M01CCJE { - - public static void main(String[] args) throws Exception { - - String[] ch; - String order = "Reverse ASCII"; - int m1,m2,l1,l2; - int ifail = 0; - - BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); - - dataIn.readLine(); - m2 = Integer.parseInt(dataIn.readLine().trim().split(":+")[0].trim()); - ch = new String[m2]; - m1 = 1; - for (int i = m1-1; i < m2; ++i) { - ch[i] = dataIn.readLine(); - } - dataIn.close(); - l1 = 7; - l2 = 12; - - System.out.println(" M01CCJ Example Program Results"); - M01CC m01cc = new M01CC(ch, m1, m2, l1, l2, order, ifail); - m01cc.eval(); - ifail = m01cc.getIFAIL(); - System.out.println(); - System.out.printf(" Records sorted on columns %2d to %2d\n",l1,l2); - System.out.println(); - for (int i = m1-1; i < m2; ++i) { - System.out.println(" "+ch[i]); - } - - } - -} diff --git a/simple_examples/int32/S01BAJE.java b/simple_examples/int32/S01BAJE.java deleted file mode 100644 index 4bf2823..0000000 --- a/simple_examples/int32/S01BAJE.java +++ /dev/null @@ -1,39 +0,0 @@ -import com.nag.routines.S.S01BA; - -/** - * S01BAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S01BAJE{ - - /** - * S01BAJE main program - */ - public static void main(String[] args){ - double y; - int ifail; - double[] xVal; //data - - //store data - xVal = new double[6]; - xVal[0] = 2.5; - xVal[1] = 0.125; - xVal[2] = -0.906; - xVal[3] = 0.00129; - xVal[4] = -0.00000783; - xVal[5] = 0.000000001; - - System.out.println("S01BAJ Example Program Results"); - System.out.println(); - System.out.printf("\tX\t\tY\n"); - - for(double x : xVal){ - ifail = -1; - S01BA s01ba = new S01BA(x, ifail); - y = s01ba.eval(); - - System.out.printf("\t%.4e\t%.4e\n", x, y); - } - } -} diff --git a/simple_examples/int32/S10AAJE.java b/simple_examples/int32/S10AAJE.java deleted file mode 100644 index 2a0878a..0000000 --- a/simple_examples/int32/S10AAJE.java +++ /dev/null @@ -1,40 +0,0 @@ -import com.nag.routines.S.S10AA; - -/** - * S10AAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S10AAJE{ - - /** - * S10AAJ example main program - */ - public static void main(String[] args){ - double y; - double[] xVal; - int ifail; - - //x values (can be read in from data file) - xVal = new double[4]; - xVal[0] = -20; - xVal[1] = -5.0; - xVal[2] = 0.5; - xVal[3] = 5.0; - - System.out.println("S10AAJ Example Program Results"); - - System.out.println(); - System.out.printf("\tX\t\tY"); - System.out.println(); - - for(double x : xVal){ - ifail = -1; - S10AA s10aa = new S10AA(x, ifail); - y = s10aa.eval(); - ifail = s10aa.getIFAIL(); - - System.out.printf("\t%.3e\t%.3e\n", x, y); - } - } -} diff --git a/simple_examples/int32/S10ABJE.java b/simple_examples/int32/S10ABJE.java deleted file mode 100644 index dd84ab7..0000000 --- a/simple_examples/int32/S10ABJE.java +++ /dev/null @@ -1,41 +0,0 @@ -import com.nag.routines.S.S10AB; - -/** - * S10ABJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S10ABJE{ - - /** - * S10ABJ example main program - */ - public static void main(String[] args){ - double y; - double[] xVal; - int ifail; - - //x values (can be read in from data file) - xVal = new double[5]; - xVal[0] = -10; - xVal[1] = -0.5; - xVal[2] = 0; - xVal[3] = 0.5; - xVal[4] = 25.0; - - System.out.println("S10ABJ Example Program Results"); - - System.out.println(); - System.out.printf("\tX\t\tY"); - System.out.println(); - - for(double x : xVal){ - ifail = -1; - S10AB s10ab = new S10AB(x, ifail); - y = s10ab.eval(); - ifail = s10ab.getIFAIL(); - - System.out.printf("\t%.3e\t%.3e\n", x, y); - } - } -} diff --git a/simple_examples/int32/S10ACJE.java b/simple_examples/int32/S10ACJE.java deleted file mode 100644 index cc0c04c..0000000 --- a/simple_examples/int32/S10ACJE.java +++ /dev/null @@ -1,41 +0,0 @@ -import com.nag.routines.S.S10AC; - -/** - * S10ACJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S10ACJE{ - - /** - * S10ACJ example main program - */ - public static void main(String[] args){ - double y; - double[] xVal; - int ifail; - - //x values (can be read in from data file) - xVal = new double[5]; - xVal[0] = -10; - xVal[1] = -0.5; - xVal[2] = 0; - xVal[3] = 0.5; - xVal[4] = 25.0; - - System.out.println("S10ACJ Example Program Results"); - - System.out.println(); - System.out.printf("\tX\t\tY"); - System.out.println(); - - for(double x : xVal){ - ifail = -1; - S10AC s10ac = new S10AC(x, ifail); - y = s10ac.eval(); - ifail = s10ac.getIFAIL(); - - System.out.printf("\t%.3e\t%.3e\n", x, y); - } - } -} diff --git a/simple_examples/int32/S14ABJE.java b/simple_examples/int32/S14ABJE.java deleted file mode 100644 index 673a4b3..0000000 --- a/simple_examples/int32/S14ABJE.java +++ /dev/null @@ -1,71 +0,0 @@ -import com.nag.routines.S.S14AB; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * S14ABJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S14ABJE{ - - /** - * S14ABJ example main program - */ - public static void main(String[] args){ - double x, y; - int ifail; - - System.out.println("S14ABJ Example Program Results"); - - //Supply file path as argument - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - System.out.println(); - System.out.printf("\tX\t\tY"); - System.out.println(); - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //loop until break - while(true){ - line = reader.readLine(); - - //if finished looping through file break - if(line == null){ - break; - } - String[] sVal = line.split("\\s+"); - - x = Double.parseDouble(sVal[1]); - - ifail = -1; - S14AB s14ab = new S14AB(x, ifail); - y = s14ab.eval(); - //update ifail - ifail = s14ab.getIFAIL(); - - if(ifail < 0){ - break; - } - System.out.printf("\t%.3e\t%.3e\n", x, y); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} - diff --git a/simple_examples/int32/S14ACJE.java b/simple_examples/int32/S14ACJE.java deleted file mode 100644 index e2fff05..0000000 --- a/simple_examples/int32/S14ACJE.java +++ /dev/null @@ -1,68 +0,0 @@ -import com.nag.routines.S.S14AC; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * S14ACJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S14ACJE{ - - /** - * S14ACJ example main program - */ - public static void main(String[] args){ - double f, x; - int ifail; - - System.out.println("S14ACJ Example Program Results"); - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - System.out.println(); - System.out.printf("\tX\tpsi(X)-log(X)\n"); - System.out.println(); - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //Loop until break... - while(true){ - line = reader.readLine(); - if(line == null){ - break; - } - String[] sVal = line.split("\\s+"); - - x = Double.parseDouble(sVal[0]); - - ifail = -1; - S14AC s14ac = new S14AC(x, ifail); - f = s14ac.eval(); - ifail = s14ac.getIFAIL(); - - if(ifail < 0){ - break; - } - - System.out.printf("\t%.4f\t%.4f\n", x, f); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} diff --git a/simple_examples/int32/S14AFJE.java b/simple_examples/int32/S14AFJE.java deleted file mode 100644 index 9005cc1..0000000 --- a/simple_examples/int32/S14AFJE.java +++ /dev/null @@ -1,80 +0,0 @@ -import com.nag.routines.S.S14AF; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * S14AFJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class S14AFJE{ - - /** - * S14AFJ Example main program - */ - public static void main(String[] args){ - NAGComplex y, z; - int ifail, k; - - //Tell the wrapper the type of complex being used before calling a routine - Routine.setComplex(new NAGComplex()); - - y = new NAGComplex(); - z = new NAGComplex(); - - System.out.println("S14AFJ Example Program Results"); - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); - - System.out.println(); - System.out.println("\tZ\t\tK\t(d^K/dz^K)psi(Z)"); - System.out.println(); - - //loop until break... - while(true){ - line = reader.readLine(); - - //end of file reached - if(line == null){ - break; - } - - String[] sVal = line.split("\\s+"); - z.setRe(Double.parseDouble(sVal[0])); - z.setIm(Double.parseDouble(sVal[1])); - k = Integer.parseInt(sVal[2]); - - ifail = -1; - S14AF s14af = new S14AF(z, k, ifail); - y = (NAGComplex) s14af.eval(); - ifail = s14af.getIFAIL(); - - //ifail < 0 => error - if(ifail < 0){ - break; - } - System.out.printf("\t(%.1f, %.1f)\t%d\t(%.4e, %.4e)\n", z.getRe(), z.getIm(), k, y.getRe(), y.getIm()); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} diff --git a/simple_examples/int32/S17DCJE.java b/simple_examples/int32/S17DCJE.java deleted file mode 100644 index ba01290..0000000 --- a/simple_examples/int32/S17DCJE.java +++ /dev/null @@ -1,69 +0,0 @@ -import com.nag.routines.S.S17DC; -import com.nag.types.NAGComplex; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -public class S17DCJE{ - private static int n = 2; - - public static void main(String[] args){ - double fnu; - int ifail, nz = 0; - String scal; - NAGComplex z; - NAGComplex[] cwrk, cy; - - z = new NAGComplex(); - //initiate complex arrays like this to save looping through and doing it manually by looping through - cwrk = NAGComplex.createArray(n); - cy = NAGComplex.createArray(n); - - System.out.println("S17DCF Example Program Results"); - - //Supply file path as argument - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - System.out.println(); - System.out.printf("Calling with N = %d\n", n); - System.out.println(); - System.out.printf("FNU\tZ\t\t\tSCAL\tCY[0]\t\t\tCY[1]\t\t\tNZ"); - System.out.println(); - - while(true){ - line = reader.readLine(); - if(line == null){ - break; - } - String[] sVal = line.split("\\s+"); - fnu = Double.parseDouble(sVal[0]); - z.setRe(Double.parseDouble(sVal[1])); - z.setIm(Double.parseDouble(sVal[2])); - scal = sVal[3].substring(1,2); - - ifail = 0; - S17DC s17dc = new S17DC(fnu, z, n, scal, cy, nz, cwrk, ifail); - s17dc.eval(); - - System.out.printf("%.4f\t(%.4f, %.4f)\t%s\t(%.4f, %.4f)\t(%.4f, %.4f)\t%d\n", fnu, z.getRe(), z.getIm(), scal, cy[0].getRe(), cy[0].getIm(), cy[1].getRe(), cy[1].getIm(), nz); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} - diff --git a/simple_examples/int32/S17DGJE.java b/simple_examples/int32/S17DGJE.java deleted file mode 100644 index b93c9e0..0000000 --- a/simple_examples/int32/S17DGJE.java +++ /dev/null @@ -1,61 +0,0 @@ -import com.nag.routines.S.S17DG; -import com.nag.types.NAGComplex; -import java.io.*; -import java.util.regex.Matcher; -import java.util.regex.Pattern; - -/** - * S17DG example program text. - */ -public class S17DGJE { - - public static void main(String[] args) throws Exception { - String deriv,scal; - int ifail = 1; - NAGComplex z,ai; - int nz = -1; - z = new NAGComplex(); - ai = new NAGComplex(); - ai.setRe(Double.NaN); - ai.setIm(Double.NaN); - - System.out.println(" S17DGJ Example Program Results"); - BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); - - dataIn.readLine(); - System.out.println(); - System.out.println(" DERIV Z SCAL AI NZ"); - System.out.println(); - String line = dataIn.readLine(); - Pattern linePatt = Pattern.compile("\\s*'([A-Z]{1})'\\s+\\(\\s*([0-9\\.\\-]+)\\s*," - + "\\s*([0-9\\.\\-]+)\\s*\\)\\s+'([A-Z]{1})'\\s*"); - Matcher m; - S17DG s17dg = new S17DG(); - while (line != null) { - m = linePatt.matcher(line); - if (m.matches()) { - deriv = m.group(1); - z.setRe(Double.parseDouble(m.group(2))); - z.setIm(Double.parseDouble(m.group(3))); - scal = m.group(4); - ifail = 1;// SOFT AND SILENT FAILURE - s17dg.eval(deriv,z,scal,ai,nz,ifail); - if (s17dg.getIFAIL() == 0) { - System.out.printf(" %s (%8.4f,%8.4f) %s (%8.4f,%8.4f) %4d\n", - s17dg.getDERIV(), s17dg.getZ().getRe(), s17dg.getZ().getIm(), s17dg.getSCAL(), - s17dg.getAI().getRe(), s17dg.getAI().getIm(), s17dg.getNZ()); - } - else { - System.err.println("Something went wrong - S17DG returned IFAIL = "+s17dg.getIFAIL()); - System.exit(-1); - } - } - else { - System.out.println("Can't match:\n"+line); - } - line = dataIn.readLine(); - } - - } - -} diff --git a/simple_examples/int32/S30AAJE.java b/simple_examples/int32/S30AAJE.java deleted file mode 100644 index 7e01ffe..0000000 --- a/simple_examples/int32/S30AAJE.java +++ /dev/null @@ -1,109 +0,0 @@ -import com.nag.routines.S.S30AA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * S30AAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S30AAJE{ - - /** - * S30AAJ main program - */ - public static void main(String[] args){ - double q = 0, r = 0, s = 0, sigma = 0; - int ifail, ldp, m = 0, n = 0; - String calput = ""; //placeholders - double[] p, t, x; - - //placeholders - t = new double[0]; - x = new double[0]; - - System.out.println("S30AAJ Example Program Results"); - - //Supply file path as arugment - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - calput = sVal[0].substring(1,2); - - line = reader.readLine(); - sVal = line.split("\\s+"); - s = Double.parseDouble(sVal[0]); - sigma = Double.parseDouble(sVal[1]); - r = Double.parseDouble(sVal[2]); - q = Double.parseDouble(sVal[3]); - - line = reader.readLine(); - sVal = line.split("\\s+"); - m = Integer.parseInt(sVal[0]); - n = Integer.parseInt(sVal[1]); - - t = new double[n]; - x = new double[m]; - - for(int i = 0; i < m; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - x[i] = Double.parseDouble(sVal[0]); - } - for(int i = 0; i < n; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - t[i] = Double.parseDouble(sVal[0]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ldp = m; - p = new double[ldp * n]; - - ifail = 0; - S30AA s30aa = new S30AA(calput, m, n, x, s, t, sigma, r, q, p, ldp, ifail); - s30aa.eval(); - - System.out.println(); - System.out.println("Black-Scholes-Merton formula"); - - if(calput.toLowerCase().equals("c")){ - System.out.println("European Call : "); - } - else if(calput.toLowerCase().equals("p")){ - System.out.println("European Put : "); - } - - System.out.printf(" Spot =\t%.4f\n", s); - System.out.printf(" Volatility =\t%.4f\n", sigma); - System.out.printf(" Rate =\t%.4f\n", r); - System.out.printf(" Dividend =\t%.4f\n", q); - - System.out.println(); - System.out.printf(" Strike\tExpiry\tOption Price\n"); - for(int i = 0; i < m; i++){ - for(int j = 0; j < n; j++){ - System.out.printf(" %.4f\t%.4f\t%.4f\n", x[i], t[j], p[i + (j * 3)]); - } - } - } -} - diff --git a/simple_examples/int32/S30ACJE.java b/simple_examples/int32/S30ACJE.java deleted file mode 100644 index 8d994dc..0000000 --- a/simple_examples/int32/S30ACJE.java +++ /dev/null @@ -1,129 +0,0 @@ -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.util.Arrays; - -import com.nag.routines.S.S30AC; - -/** - * S30AC example program text. - */ -public class S30ACJE { - - public static void main(String[] args) { - - int i, ifail, mode = 0, n = 0; - String calput; - - double[] k = null, p = null, r = null, s0 = null, sigma = null, t = null; - int[] ivalid = null; - - // Strings must be length expected by Fortran - calput = getBlankString(1); - - /* Header */ - System.out.println(" S30ACJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); // skip header - - System.out.println(); - System.out.println(" SIGMA IVALID"); - System.out.println(); - - line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - calput = sVal[0].replaceAll("\'", ""); - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - mode = Integer.parseInt(sVal[1]); - - line = reader.readLine(); // skip empty line - - p = new double[n]; - k = new double[n]; - s0 = new double[n]; - t = new double[n]; - r = new double[n]; - sigma = new double[n]; - ivalid = new int[n]; - - // Read p, k, s0, t and r from data file - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - p[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - k[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - s0[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - t[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - r[i] = Double.parseDouble(sVal[i]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Find the implied volatilities, sigma - ifail = 0; - S30AC s30ac = new S30AC(); - s30ac.eval(calput, n, p, k, s0, t, r, sigma, mode, ivalid, ifail); - - // Print solution - for (i = 0; i < n; i++) { - System.out.printf(" %12.3E%5d\n", sigma[i], ivalid[i]); - } - - } - - /** - * Returns a new String, filled with spaces to the specified length. - * - * @param len the required length of the String - * @return a blank String of the specified length - */ - public static String getBlankString(int len) { - - if (len > 0) { - char[] arr = new char[len]; - Arrays.fill(arr, ' '); - return new String(arr); - } - - return ""; - - } -} diff --git a/simple_examples/int32/X03AAJE.java b/simple_examples/int32/X03AAJE.java deleted file mode 100644 index b03f1ab..0000000 --- a/simple_examples/int32/X03AAJE.java +++ /dev/null @@ -1,87 +0,0 @@ -import com.nag.routines.X03.X03AA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * X03AAJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class X03AAJE{ - - /** - * X03AAJ example main program. - */ - public static void main(String[] args){ - int n = 3; - double c1 = 0, c2 = 0, d1 = 0, d2 = 0; //placeholder - int ifail, isizea, isizeb, istepa, istepb; - boolean sw; - double[] a, b; - - a = new double[n * n]; - b = new double[n]; - - System.out.println("X03AAF Example Program Results"); - System.out.println(); - - if(args.length != 1){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //stored column wise - //a = (-2, -3, 7) - // ( 2, -5, 3) - // (-9, 1, 0) - for(int i = 0; i < n; i++){ - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - for(int j = 0; j < n; j++){ - a[i + (j * n)] = Double.parseDouble(sVal[j + 1]); - } - } - - line = reader.readLine(); - for(int i = 0; i < n; i++){ - String[] sVal = line.split("\\s+"); - b[i] = Double.parseDouble(sVal[i + 1]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - - c1 = 1; - c2 = 0; - isizea = n; - isizeb = n; - istepa = 1; - istepb = 1; - sw = true; - - ifail = 0; - X03AA x03aa = new X03AA(a , isizea, b, isizeb, n, istepa, istepb, c1, c2, d1, d2, sw, ifail); - x03aa.eval(); - - //update - c1 = x03aa.getC1(); - c2 = x03aa.getC2(); - d1 = x03aa.getD1(); - d2 = x03aa.getD2(); - - System.out.printf("D1 = %.1f D2 = %.1f\n", d1, d2); - } -} diff --git a/simple_examples/int32/X04CBJE.java b/simple_examples/int32/X04CBJE.java deleted file mode 100644 index fa77c3a..0000000 --- a/simple_examples/int32/X04CBJE.java +++ /dev/null @@ -1,53 +0,0 @@ -import com.nag.routines.X04.X04CB; - -/** - * X04CBJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class X04CBJE{ - - /** - * X04CBJ example main program - */ - public static void main(String[] args){ - int nmax = 5, lda = nmax, ifail, indent, ncols; - double[] a; - - a = new double[lda * nmax]; - - String[] clabs = {"Un ", "Deux ", "Trois ", "Quatre ", "Cinq "}; - String[] rlabs = {"Uno ", "Due ", "Tre ", "Quattro", "Cinque "}; - - System.out.println("X04CBJ Example Program Results"); - System.out.println(); - - //generate an array of data - for(int i = 0; i < nmax; i++){ - for(int j = 0; j < lda; j++){ - a[(i * lda) + j] = (double) ((10 * (j + 1)) + i + 1); - } - } - - ncols = 80; - indent = 0; - - //Print 3 by nmax rectangular matrix with default format and integer row and column labels - ifail = 0; - X04CB x04cb = new X04CB("General", " ", 3, nmax, a, lda, " ", "Example 1", "Integer", rlabs, "Integer", - clabs, ncols, indent, ifail); - x04cb.eval(); - System.out.println(); - - //Print nmax by namx upper triangular matrix with user-supplied format and row and column labels - ifail = 0; - x04cb.eval("Upper", "Non-unit", nmax, nmax, a, lda, "F8.2", "Example 2:", "Character", rlabs, "Character", - clabs, ncols, indent, ifail); - System.out.println(); - - //Print 3 by nmax lower triangular matrix in MATLAB format - //Row and column labelling is ignored - ifail = 0; - x04cb.eval("Lower", "Non-unit", 3, nmax, a, lda, "MATLABF8.2", "A", " ", rlabs, " ", clabs, ncols, indent, ifail); - } -} diff --git a/simple_examples/int32/X05ABJE.java b/simple_examples/int32/X05ABJE.java deleted file mode 100644 index acb3804..0000000 --- a/simple_examples/int32/X05ABJE.java +++ /dev/null @@ -1,25 +0,0 @@ -import com.nag.routines.X05.X05AB; - -/** - * X05AB example program text. - */ -public class X05ABJE { - - public static void main(String[] args) { - - int[] itime = new int[7]; - - itime[0] = 1789; - itime[1] = 7; - itime[2] = 14; - itime[3] = 13; - itime[4] = 11; - itime[5] = 48; - itime[6] = 320; - - System.out.println(" X05ABJ Example Program Results"); - System.out.println((new X05AB(itime)).eval()); - - } - -} From 8baad2aea088d0b62a131b584c04033a775f6184 Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 15 Jan 2021 13:17:55 +0000 Subject: [PATCH 112/196] Simple Examples Synced --- simple_examples/int32/A00AAJE.java | 16 ++ simple_examples/int32/A00ACJE.java | 29 ++ simple_examples/int32/A00ADJE.java | 107 ++++++++ simple_examples/int32/C02AAJE.java | 174 ++++++++++++ simple_examples/int32/C02ABJE.java | 217 +++++++++++++++ simple_examples/int32/C02AFJE.java | 271 +++++++++++++++++++ simple_examples/int32/C02AGJE.java | 262 ++++++++++++++++++ simple_examples/int32/C02AHJE.java | 61 +++++ simple_examples/int32/C02AJJE.java | 65 +++++ simple_examples/int32/C02AKJE.java | 62 +++++ simple_examples/int32/C02ALJE.java | 64 +++++ simple_examples/int32/C02AMJE.java | 75 ++++++ simple_examples/int32/C02ANJE.java | 80 ++++++ simple_examples/int32/C05AUJE.java | 67 +++++ simple_examples/int32/C05AWJE.java | 59 ++++ simple_examples/int32/C05AYJE.java | 44 +++ simple_examples/int32/C05AZJE.java | 65 +++++ simple_examples/int32/C05BBJE.java | 89 ++++++ simple_examples/int32/C05MBJE.java | 95 +++++++ simple_examples/int32/C05QBJE.java | 167 ++++++++++++ simple_examples/int32/C06BAJE.java | 56 ++++ simple_examples/int32/C06FKJE.java | 91 +++++++ simple_examples/int32/C09AAJE.java | 158 +++++++++++ simple_examples/int32/D01BDJE.java | 58 ++++ simple_examples/int32/D01RJJE.java | 184 +++++++++++++ simple_examples/int32/D01RKJE.java | 173 ++++++++++++ simple_examples/int32/D01RLJE.java | 196 ++++++++++++++ simple_examples/int32/D01RMJE.java | 163 +++++++++++ simple_examples/int32/D01TCJE.java | 45 ++++ simple_examples/int32/D02NEJE.java | 388 ++++++++++++++++++++++++++ simple_examples/int32/D02TLJE.java | 290 ++++++++++++++++++++ simple_examples/int32/D03PCJE.java | 217 +++++++++++++++ simple_examples/int32/D03RAJE.java | 307 +++++++++++++++++++++ simple_examples/int32/D03RBJE.java | 388 ++++++++++++++++++++++++++ simple_examples/int32/D05BAJE.java | 111 ++++++++ simple_examples/int32/D05BEJE.java | 185 +++++++++++++ simple_examples/int32/DTFSMJE.java | 54 ++++ simple_examples/int32/E01DAJE.java | 182 +++++++++++++ simple_examples/int32/E02ALJE.java | 101 +++++++ simple_examples/int32/E04ABJE.java | 76 ++++++ simple_examples/int32/E04BBJE.java | 81 ++++++ simple_examples/int32/E04CBJE.java | 90 +++++++ simple_examples/int32/E04FCJE.java | 420 +++++++++++++++++++++++++++++ simple_examples/int32/E04FFJE.java | 140 ++++++++++ simple_examples/int32/E04GBJE.java | 183 +++++++++++++ simple_examples/int32/E04GGJE.java | 219 +++++++++++++++ simple_examples/int32/E04MTJE.java | 132 +++++++++ simple_examples/int32/E04MXJE.java | 292 ++++++++++++++++++++ simple_examples/int32/E04NCJE.java | 246 +++++++++++++++++ simple_examples/int32/E04NFJE.java | 234 ++++++++++++++++ simple_examples/int32/E04NKJE.java | 295 ++++++++++++++++++++ simple_examples/int32/E04NQJE.java | 384 ++++++++++++++++++++++++++ simple_examples/int32/E04PTJE.java | 344 +++++++++++++++++++++++ simple_examples/int32/E04RPJE.java | 199 ++++++++++++++ simple_examples/int32/E04RSJE.java | 229 ++++++++++++++++ simple_examples/int32/E04RTJE.java | 225 ++++++++++++++++ simple_examples/int32/E04SAJE.java | 104 +++++++ simple_examples/int32/E04TAJE.java | 188 +++++++++++++ simple_examples/int32/E04TCJE.java | 263 ++++++++++++++++++ simple_examples/int32/E04UCJE.java | 211 +++++++++++++++ simple_examples/int32/E04YAJE.java | 112 ++++++++ simple_examples/int32/F01ADJE.java | 39 +++ simple_examples/int32/F01CKJE.java | 60 +++++ simple_examples/int32/F01CRJE.java | 47 ++++ simple_examples/int32/F01DGJE.java | 72 +++++ simple_examples/int32/F01ELJE.java | 89 ++++++ simple_examples/int32/F01EMJE.java | 106 ++++++++ simple_examples/int32/F02EKJE.java | 227 ++++++++++++++++ simple_examples/int32/F02FKJE.java | 230 ++++++++++++++++ simple_examples/int32/F02WGJE.java | 132 +++++++++ simple_examples/int32/F03BAJE.java | 108 ++++++++ simple_examples/int32/F04AMJE.java | 114 ++++++++ simple_examples/int32/F04BAJE.java | 144 ++++++++++ simple_examples/int32/F05AAJE.java | 99 +++++++ simple_examples/int32/F06CLJE.java | 40 +++ simple_examples/int32/F07AAJE.java | 90 +++++++ simple_examples/int32/F07ABJE.java | 134 +++++++++ simple_examples/int32/F07ADJE.java | 72 +++++ simple_examples/int32/F07AQJE.java | 99 +++++++ simple_examples/int32/F07FAJE.java | 79 ++++++ simple_examples/int32/F07FBJE.java | 122 +++++++++ simple_examples/int32/F08BTJE.java | 228 ++++++++++++++++ simple_examples/int32/F08FAJE.java | 113 ++++++++ simple_examples/int32/F08XPJE.java | 297 ++++++++++++++++++++ simple_examples/int32/G01ALJE.java | 55 ++++ simple_examples/int32/G02AKJE.java | 68 +++++ simple_examples/int32/G02BJJE.java | 303 +++++++++++++++++++++ simple_examples/int32/G02BRJE.java | 134 +++++++++ simple_examples/int32/G02DAJE.java | 187 +++++++++++++ simple_examples/int32/G02EEJE.java | 184 +++++++++++++ simple_examples/int32/G02MAJE.java | 130 +++++++++ simple_examples/int32/G03GAJE.java | 355 ++++++++++++++++++++++++ simple_examples/int32/G05KFJE.java | 105 ++++++++ simple_examples/int32/G13AWJE.java | 31 +++ simple_examples/int32/G13MEJE.java | 160 +++++++++++ simple_examples/int32/G13NAJE.java | 123 +++++++++ simple_examples/int32/H02BBJE.java | 92 +++++++ simple_examples/int32/H02DAJE.java | 228 ++++++++++++++++ simple_examples/int32/M01CCJE.java | 42 +++ simple_examples/int32/S01BAJE.java | 39 +++ simple_examples/int32/S10AAJE.java | 40 +++ simple_examples/int32/S10ABJE.java | 41 +++ simple_examples/int32/S10ACJE.java | 41 +++ simple_examples/int32/S14ABJE.java | 71 +++++ simple_examples/int32/S14ACJE.java | 68 +++++ simple_examples/int32/S14AFJE.java | 80 ++++++ simple_examples/int32/S17DCJE.java | 69 +++++ simple_examples/int32/S17DGJE.java | 61 +++++ simple_examples/int32/S30AAJE.java | 109 ++++++++ simple_examples/int32/S30ACJE.java | 129 +++++++++ simple_examples/int32/X03AAJE.java | 87 ++++++ simple_examples/int32/X04CBJE.java | 53 ++++ simple_examples/int32/X05ABJE.java | 25 ++ 113 files changed, 15934 insertions(+) create mode 100644 simple_examples/int32/A00AAJE.java create mode 100644 simple_examples/int32/A00ACJE.java create mode 100644 simple_examples/int32/A00ADJE.java create mode 100644 simple_examples/int32/C02AAJE.java create mode 100644 simple_examples/int32/C02ABJE.java create mode 100644 simple_examples/int32/C02AFJE.java create mode 100644 simple_examples/int32/C02AGJE.java create mode 100644 simple_examples/int32/C02AHJE.java create mode 100644 simple_examples/int32/C02AJJE.java create mode 100644 simple_examples/int32/C02AKJE.java create mode 100644 simple_examples/int32/C02ALJE.java create mode 100644 simple_examples/int32/C02AMJE.java create mode 100644 simple_examples/int32/C02ANJE.java create mode 100644 simple_examples/int32/C05AUJE.java create mode 100644 simple_examples/int32/C05AWJE.java create mode 100644 simple_examples/int32/C05AYJE.java create mode 100644 simple_examples/int32/C05AZJE.java create mode 100644 simple_examples/int32/C05BBJE.java create mode 100644 simple_examples/int32/C05MBJE.java create mode 100644 simple_examples/int32/C05QBJE.java create mode 100644 simple_examples/int32/C06BAJE.java create mode 100644 simple_examples/int32/C06FKJE.java create mode 100644 simple_examples/int32/C09AAJE.java create mode 100644 simple_examples/int32/D01BDJE.java create mode 100644 simple_examples/int32/D01RJJE.java create mode 100644 simple_examples/int32/D01RKJE.java create mode 100644 simple_examples/int32/D01RLJE.java create mode 100644 simple_examples/int32/D01RMJE.java create mode 100644 simple_examples/int32/D01TCJE.java create mode 100644 simple_examples/int32/D02NEJE.java create mode 100644 simple_examples/int32/D02TLJE.java create mode 100644 simple_examples/int32/D03PCJE.java create mode 100644 simple_examples/int32/D03RAJE.java create mode 100644 simple_examples/int32/D03RBJE.java create mode 100644 simple_examples/int32/D05BAJE.java create mode 100644 simple_examples/int32/D05BEJE.java create mode 100644 simple_examples/int32/DTFSMJE.java create mode 100644 simple_examples/int32/E01DAJE.java create mode 100644 simple_examples/int32/E02ALJE.java create mode 100644 simple_examples/int32/E04ABJE.java create mode 100644 simple_examples/int32/E04BBJE.java create mode 100644 simple_examples/int32/E04CBJE.java create mode 100644 simple_examples/int32/E04FCJE.java create mode 100644 simple_examples/int32/E04FFJE.java create mode 100644 simple_examples/int32/E04GBJE.java create mode 100644 simple_examples/int32/E04GGJE.java create mode 100644 simple_examples/int32/E04MTJE.java create mode 100644 simple_examples/int32/E04MXJE.java create mode 100644 simple_examples/int32/E04NCJE.java create mode 100644 simple_examples/int32/E04NFJE.java create mode 100644 simple_examples/int32/E04NKJE.java create mode 100644 simple_examples/int32/E04NQJE.java create mode 100644 simple_examples/int32/E04PTJE.java create mode 100644 simple_examples/int32/E04RPJE.java create mode 100644 simple_examples/int32/E04RSJE.java create mode 100644 simple_examples/int32/E04RTJE.java create mode 100644 simple_examples/int32/E04SAJE.java create mode 100644 simple_examples/int32/E04TAJE.java create mode 100644 simple_examples/int32/E04TCJE.java create mode 100644 simple_examples/int32/E04UCJE.java create mode 100644 simple_examples/int32/E04YAJE.java create mode 100644 simple_examples/int32/F01ADJE.java create mode 100644 simple_examples/int32/F01CKJE.java create mode 100644 simple_examples/int32/F01CRJE.java create mode 100644 simple_examples/int32/F01DGJE.java create mode 100644 simple_examples/int32/F01ELJE.java create mode 100644 simple_examples/int32/F01EMJE.java create mode 100644 simple_examples/int32/F02EKJE.java create mode 100644 simple_examples/int32/F02FKJE.java create mode 100644 simple_examples/int32/F02WGJE.java create mode 100644 simple_examples/int32/F03BAJE.java create mode 100644 simple_examples/int32/F04AMJE.java create mode 100644 simple_examples/int32/F04BAJE.java create mode 100644 simple_examples/int32/F05AAJE.java create mode 100644 simple_examples/int32/F06CLJE.java create mode 100644 simple_examples/int32/F07AAJE.java create mode 100644 simple_examples/int32/F07ABJE.java create mode 100644 simple_examples/int32/F07ADJE.java create mode 100644 simple_examples/int32/F07AQJE.java create mode 100644 simple_examples/int32/F07FAJE.java create mode 100644 simple_examples/int32/F07FBJE.java create mode 100644 simple_examples/int32/F08BTJE.java create mode 100644 simple_examples/int32/F08FAJE.java create mode 100644 simple_examples/int32/F08XPJE.java create mode 100644 simple_examples/int32/G01ALJE.java create mode 100644 simple_examples/int32/G02AKJE.java create mode 100644 simple_examples/int32/G02BJJE.java create mode 100644 simple_examples/int32/G02BRJE.java create mode 100644 simple_examples/int32/G02DAJE.java create mode 100644 simple_examples/int32/G02EEJE.java create mode 100644 simple_examples/int32/G02MAJE.java create mode 100644 simple_examples/int32/G03GAJE.java create mode 100644 simple_examples/int32/G05KFJE.java create mode 100644 simple_examples/int32/G13AWJE.java create mode 100644 simple_examples/int32/G13MEJE.java create mode 100644 simple_examples/int32/G13NAJE.java create mode 100644 simple_examples/int32/H02BBJE.java create mode 100644 simple_examples/int32/H02DAJE.java create mode 100644 simple_examples/int32/M01CCJE.java create mode 100644 simple_examples/int32/S01BAJE.java create mode 100644 simple_examples/int32/S10AAJE.java create mode 100644 simple_examples/int32/S10ABJE.java create mode 100644 simple_examples/int32/S10ACJE.java create mode 100644 simple_examples/int32/S14ABJE.java create mode 100644 simple_examples/int32/S14ACJE.java create mode 100644 simple_examples/int32/S14AFJE.java create mode 100644 simple_examples/int32/S17DCJE.java create mode 100644 simple_examples/int32/S17DGJE.java create mode 100644 simple_examples/int32/S30AAJE.java create mode 100644 simple_examples/int32/S30ACJE.java create mode 100644 simple_examples/int32/X03AAJE.java create mode 100644 simple_examples/int32/X04CBJE.java create mode 100644 simple_examples/int32/X05ABJE.java diff --git a/simple_examples/int32/A00AAJE.java b/simple_examples/int32/A00AAJE.java new file mode 100644 index 0000000..65b6c18 --- /dev/null +++ b/simple_examples/int32/A00AAJE.java @@ -0,0 +1,16 @@ +import com.nag.routines.A00.A00AA; + +/** + * A00AA example program text. + */ +public class A00AAJE { + + public static void main(String[] args) { + A00AA a00aa = new A00AA(); + + System.out.println(" A00AAJ Example Program Results\n"); + a00aa.eval(); + + } + +} diff --git a/simple_examples/int32/A00ACJE.java b/simple_examples/int32/A00ACJE.java new file mode 100644 index 0000000..7f44ba3 --- /dev/null +++ b/simple_examples/int32/A00ACJE.java @@ -0,0 +1,29 @@ +import com.nag.routines.A00.A00AC; + +/** + * A00AC example program text. + * @author Mo + */ +public class A00ACJE { + + public static void main(String[] args) { + A00AC a00ac = new A00AC(); + boolean lmok; + + System.out.println(" A00ACJ Example Program Results\n"); + System.out.println(); + + a00ac.eval(); + + lmok = a00ac.eval(); + + if (lmok) { + System.out.println("A valid licence key is available"); + } + else { + System.out.println("No valid licence key was found"); + } + + } + +} diff --git a/simple_examples/int32/A00ADJE.java b/simple_examples/int32/A00ADJE.java new file mode 100644 index 0000000..139c8b9 --- /dev/null +++ b/simple_examples/int32/A00ADJE.java @@ -0,0 +1,107 @@ +import com.nag.routines.A00.A00AD; +import com.nag.routines.X05.X05AA; +import java.util.Arrays; + +/** + * A00AD example program text. + */ +public class A00ADJE { + + public static void main(String[] args) { + + A00AD a00ad = new A00AD(); + X05AA x05aa = new X05AA(); + int i, mkmaj, mkmin; + boolean licval; + String fcomp, hdware, impl, opsys, pcode, prec, vend; + int[] itime = new int[7]; + + // Instantiate arguments + mkmaj = 0; + mkmin = 0; + licval = false; + + // Strings must be length expected by Fortran + fcomp = getBlankString(80); + hdware = getBlankString(80); + impl = getBlankString(80); + opsys = getBlankString(80); + pcode = getBlankString(80); + prec = getBlankString(80); + vend = getBlankString(80); + + System.out.println(" A00ADJ Example Program Results\n"); + + a00ad.eval(impl, prec, pcode, mkmaj, mkmin, hdware, opsys, fcomp, vend, licval); + + // Output scalars must be retrieved manually + impl = a00ad.getIMPL(); + prec = a00ad.getPREC(); + pcode = a00ad.getPCODE(); + mkmaj = a00ad.getMKMAJ(); + mkmin = a00ad.getMKMIN(); + hdware = a00ad.getHDWARE(); + opsys = a00ad.getOPSYS(); + fcomp = a00ad.getFCOMP(); + vend = a00ad.getVEND(); + licval = a00ad.getLICVAL(); + + // Print implementation details + + System.out.println("*** Start of NAG Library implementation details ***"); + System.out.println(); + System.out.println("Implementation title: " + impl.trim()); + System.out.println(" Precision: " + prec.trim()); + System.out.println(" Product code: " + pcode.trim()); + + if (mkmin < 10) { + System.out.printf(" Mark: %2d.%1d\n", mkmaj, mkmin); + } + else { + System.out.printf(" Mark: %2d.%2d\n", mkmaj, mkmin); + } + + if (vend.trim().equals("(self-contained)")) { + System.out.println(" Vendor Library: None"); + } + else { + System.out.println(" Vendor Library: " + vend.trim()); + } + + System.out.println("Applicable to:"); + System.out.println(" hardware: " + hdware.trim()); + System.out.println(" operating system: " + opsys.trim()); + System.out.println(" Fortran compiler: " + fcomp.trim()); + System.out.println("and compatible systems."); + + if (!licval) { + System.out.println(" Licence query: Unsuccessful"); + } + else { + System.out.println(" Licence query: Successful"); + } + + System.out.println(); + System.out.println("*** End of NAG Library implementation details ***"); + + } + + /** + * Returns a new String, filled with spaces to the specified length. + * + * @param len the required length of the String + * @return a blank String of the specified length + */ + public static String getBlankString(int len) { + + if (len > 0) { + char[] arr = new char[len]; + Arrays.fill(arr, ' '); + return new String(arr); + } + + return ""; + + } + +} diff --git a/simple_examples/int32/C02AAJE.java b/simple_examples/int32/C02AAJE.java new file mode 100644 index 0000000..1abc528 --- /dev/null +++ b/simple_examples/int32/C02AAJE.java @@ -0,0 +1,174 @@ +import com.nag.routines.C02.C02AA; +import com.nag.routines.Routine; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X02.X02AL; +import com.nag.types.NAGComplex; +import java.util.Arrays; + +/** + * C02AA example program text. + * @author joed + * @since 27.1.0.0 + */ +public class C02AAJE { + + public static void main(String[] args) { + + System.out.println(" C02AAJ Example Program Results"); + + Routine.setComplex(new NAGComplex()); + exampleBasic(); + examplePolishing(); + + System.out.println(); + + } + + /** Demonstrate a basic problem. */ + public static void exampleBasic() { + + C02AA c02aa = new C02AA(); + int ifail, itmax, n, polish; + NAGComplex[] a, z; + double[] berr, cond; + int[] conv; + + System.out.println(); + System.out.println("Example 1: Basic Problem"); + System.out.println(); + + // Set polynomial degree and instantiate arrays + n = 5; + a = new NAGComplex[n+1]; + berr = new double[n]; + cond = new double[n]; + conv = new int[n]; + z = NAGComplex.createArray(n); + + // Set polynomial coefficients + a[0] = new NAGComplex(5.0, 6.0); + a[1] = new NAGComplex(30.0, 20.0); + a[2] = new NAGComplex(-0.2, -6.0); + a[3] = new NAGComplex(50.0, 100000.0); + a[4] = new NAGComplex(-2.0, 40.0); + a[5] = new NAGComplex(10.0, 1.0); + + // Find roots of the polynomial + itmax = 30; + polish = 1; + ifail = 0; + c02aa.eval(a, n, itmax, polish, z, berr, cond, conv, ifail); + + // Print output + System.out.println(" i z conv berr cond "); + System.out.println(" ---------------------------------------------------"); + for (int i = 0; i < n; i++) { + System.out.printf(" %2d %9.2E, %9.2E %3d %9.2E %9.2E\n", i+1, + z[i].getRe(), z[i].getIm(), conv[i], berr[i], cond[i]); + } + + } + + /** Compare polishing processes on a Wilkinson-style polynomial. */ + public static void examplePolishing() { + + C02AA c02aa = new C02AA(); + X02AJ x02aj = new X02AJ(); + X02AL x02al = new X02AL(); + NAGComplex pz; + double delta, eps, err, fwderr, maxfwderr, maxrelerr, relerr, rmax; + int ifail, itmax, k, n, polish; + NAGComplex[] a, z, zact; + double[] berr, cond; + int[] conv; + boolean[] matched; + + System.out.println(); + System.out.println("Example 2: Polishing Processes"); + System.out.println(); + + // Set polynomial degree and instantiate + n = 10; + a = new NAGComplex[n+1]; + berr = new double[n]; + cond = new double[n]; + conv = new int[n]; + matched = new boolean[n]; + z = new NAGComplex[n]; + zact = new NAGComplex[n]; + + // Set known roots and (instantiate z) + for (int i = 0; i < n; i++) { + zact[i] = new NAGComplex((double) i+1, 0.0); + z[i] = new NAGComplex(); + } + + // Multiply out (z-1)(z-2)...(z-n) for coefficients + for (int i = 0; i < n; i++) { + a[i] = new NAGComplex(); + } + a[n] = new NAGComplex(1.0, 0.0); + for (int i = 0; i < n; i++) { + for (int j = 0; j < n; j++) { + a[j] = a[j+1].subtract(a[j].multiply(zact[i])); + } + a[n] = a[n].negate().multiply(zact[i]); + } + + System.out.println(" polish relerr fwderr "); + System.out.println(" ----------------------------"); + + itmax = 30; + eps = x02aj.eval(); + rmax = x02al.eval(); + + for (polish = 0; polish <= 2; polish++) { + + // Find roots + ifail = 0; + c02aa.eval(a, n, itmax, polish, z, berr, cond, conv, ifail); + + /* Calculate the maximum relative errors of the roots, and the maximum + * forward error evaluating the polynomial at those roots. Errors are + * capped at machine precision. */ + maxrelerr = maxfwderr = eps; + Arrays.fill(matched, false); + + for (int i = 0; i < n; i++) { + + // Evaluate polynomial at this root + pz = a[0].clone(); + for (int j = 1; j <= n; j++) { + pz = z[i].multiply(pz).add(a[j]); + } + + // Match to an expected root + k = 0; + err = rmax; + for (int j = 0; j < n; j++) { + if (!matched[j]) { + delta = z[i].subtract(zact[j]).abs(); + if (delta <= err) { + err = delta; + k = j; + } + } + } + + // Mark as matched and update max errors + matched[k] = true; + relerr = err/zact[k].abs(); + fwderr = pz.abs(); + maxrelerr = Math.max(maxrelerr, relerr); + maxfwderr = Math.max(maxfwderr, fwderr); + + } + + // Print output + System.out.printf(" %2d %10.2E%10.2E\n", polish, maxrelerr, maxfwderr); + + } + + } + +} diff --git a/simple_examples/int32/C02ABJE.java b/simple_examples/int32/C02ABJE.java new file mode 100644 index 0000000..fad5ebb --- /dev/null +++ b/simple_examples/int32/C02ABJE.java @@ -0,0 +1,217 @@ +import com.nag.routines.C02.C02AB; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X02.X02AL; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * C02AB + */ +public class C02ABJE { + + public static void main(String[] args) { + + final boolean polish_example = false; + + Routine.setComplex(new NAGComplex()); + + System.out.println(" C02ABJ Example Program Results"); + + ex1_basic(args); + if (polish_example) { + ex2_polishing(args); + } + } + + public static void ex1_basic(String[] args) { + + int i, ifail, itmax, n = 0, polish; + + NAGComplex[] z = null; + double[] a = null, berr = null, cond = null; + int[] conv = null; + + System.out.println("\n Basic Problem\n"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading in data file + String line = reader.readLine(); + line = reader.readLine(); + line = reader.readLine(); + + // Read polynomial degree and allocate + line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + a = new double[n + 1]; + berr = new double[n]; + cond = new double[n]; + conv = new int[n]; + z = NAGComplex.createArray(n); + + // Read polynomial coefficients + for (i = 0; i <= n; i++) { + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + a[i] = Double.parseDouble(sVal[0]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Find roots of the polynomial + itmax = 30; + polish = 1; + ifail = 0; + C02AB c02ab = new C02AB(); + c02ab.eval(a ,n, itmax, polish, z, berr, cond, conv, ifail); + + // Print output + System.out.println(" i z conv berr cond"); + System.out.println(" -----------------------------------------------------"); + for (i = 0; i < n; i++) { + System.out.printf(" %2d (%10.2E, %9.2E) %3d %9.2E %9.2E\n", i+1, z[i].getRe(), z[i].getIm(), conv[i], berr[i], cond[i]); + } + } + + public static void ex2_polishing(String[] args) { + NAGComplex pz = new NAGComplex(); + double delta, eps, err, fwderr, maxfwderr, maxrelerr, relerr, rmax; + int i, ifail, itmax, j, k, n = 0, polish; + + NAGComplex[] z = null, zact = null; + double[] a = null, berr = null, cond = null; + int[] conv = null; + boolean[] matched = null; + + System.out.println("\n Polishing Processes\n"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading and previous example in data file + for (i = 0; i <= 12; i++) { + reader.readLine(); + } + + // Read polynomial degree and allocate + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + + a = new double[n + 1]; + berr = new double[n]; + cond = new double[n]; + conv = new int[n]; + matched = new boolean[n]; + z = NAGComplex.createArray(n); + zact = NAGComplex.createArray(n); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Set known roots + for (i = 0; i < n; i++) { + zact[i] = new NAGComplex((double) (i + 1), 0.0); + } + + // Multiply out (z-1)(z-2)...(z-n) for coefficients + for (i = 0; i < n; i++) { + a[i] = 0.0; + } + a[n] = 1.0; + for (i = 0; i < n; i++) { + for (j = 0; j < n; j++) { + a[j] = a[j + 1] - a[j] * zact[i].getRe(); + } + a[n] = -a[n] * zact[i].getRe(); + } + + System.out.println(" polish relerr fwderr"); + System.out.println(" ----------------------------"); + + // Use different polish modes + X02AJ x02aj = new X02AJ(); + X02AL x02al = new X02AL(); + for (polish = 0; polish <= 2; polish++) { + + itmax = 30; + eps = x02aj.eval(); + rmax = x02al.eval(); + + // Find roots + ifail = 0; + C02AB c02ab = new C02AB(); + c02ab.eval(a, n , itmax, polish, z, berr, cond, conv, ifail); + + // Calculate the maximum relative errors of the roots, and the maximum + // forward error evaluating the polynomial at those roots. Errors are + // capped at machine precision. + maxrelerr = eps; + maxfwderr = eps; + Arrays.fill(matched, false); + + for (i = 0; i < n; i++) { + // Evaluate polynomial at this root + pz = new NAGComplex(a[0], 0.0); + for (j = 1; j <= n; j++) { + pz = z[i].multiply(pz).add(new NAGComplex(a[j], 0.0)); + } + + // Match to an expected root + k = 0; + err = rmax; + for (j = 0; j < n; j++) { + if (!matched[j]) { + delta = z[i].subtract(zact[j]).abs(); + if (delta <= err) { + err = delta; + k = j; + } + } + } + + // Mark as matched and update max errors + matched[k] = true; + relerr = err/zact[k].abs(); + fwderr = pz.abs(); + maxrelerr = Math.max(maxrelerr, relerr); + maxfwderr = Math.max(maxfwderr, fwderr); + } + + // Print output + System.out.printf(" %2d %10.2E%10.2E\n", polish, maxrelerr, maxfwderr); + + } + } +} diff --git a/simple_examples/int32/C02AFJE.java b/simple_examples/int32/C02AFJE.java new file mode 100644 index 0000000..6043be7 --- /dev/null +++ b/simple_examples/int32/C02AFJE.java @@ -0,0 +1,271 @@ +import com.nag.routines.C02.C02AF; +import com.nag.routines.A02.A02AB; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X02.X02AL; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * C02AF + */ +public class C02AFJE { + + public static final boolean scal = true; + + public static void main(String[] args) { + + System.out.println(" C02AFJ Example Program Results"); + + ex1(args); + + ex2(args); + } + + public static void ex1(String[] args) { + + int i, ifail, n = 0; + + double[][] a = null, z = null; + double[] w = null; + + System.out.println("\n\n Example 1"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading in data file + reader.readLine(); + reader.readLine(); + reader.readLine(); + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + + a = new double[2][n + 1]; + w = new double[4 * (n + 1)]; + z = new double[2][n]; + + for (i = 0; i <= n; i++) { + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + a[0][i] = Double.parseDouble(sVal[0]); + a[1][i] = Double.parseDouble(sVal[1]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = 0; + C02AF c02af = new C02AF(); + double[] a1d = convert2DTo1D(a); + double[] z1d = convert2DTo1D(z); + c02af.eval(a1d, n, scal, z1d, w, ifail); + + z = convert1DTo2D(z1d, 2); + + System.out.println(); + System.out.printf(" Degree of polynomial = %4d\n", n); + System.out.println(); + System.out.println(" Computed roots of polynomial"); + System.out.println(); + + for (i = 0; i < n; i++) { + System.out.printf(" z = %12.4E%+12.4E*i\n", z[0][i], z[1][i]); + } + + } + + public static void ex2(String[] args) { + + double deltac, deltai, di, eps, epsbar, f, r1, r2, r3, rmax; + int i, ifail, j, jmin = 0, n = 0; + + double[][] a = null, abar = null, z = null, zbar = null; + double[] r = null, w = null; + int[] m = null; + + System.out.println("\n\n Example 2"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading and previous example in data file + for (i = 0; i < 12; i++) { + reader.readLine(); + } + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + a = new double[2][n + 1]; + abar = new double[2][n + 1]; + r = new double[n]; + w = new double[4 * (n + 1)]; + z = new double[2][n]; + zbar = new double[2][n]; + m = new int[n]; + + // Read in the coefficients of the original polynomial. + for (i = 0; i <= n; i++) { + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + a[0][i] = Double.parseDouble(sVal[0]); + a[1][i] = Double.parseDouble(sVal[1]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Compute the roots of the original polynomial. + ifail = 0; + C02AF c02af = new C02AF(); + double[] a1d = convert2DTo1D(a); + double[] z1d = convert2DTo1D(z); + c02af.eval(a1d, n, scal, z1d, w, ifail); + + z = convert1DTo2D(z1d, 2); + + // Form the coefficients of the perturbed polynomial. + X02AJ x02aj = new X02AJ(); + eps = x02aj.eval(); + epsbar = 3.0 * eps; + + for (i = 0; i <= n; i++) { + if (a[0][i] != 0.0E0) { + f = 1.0E0 + epsbar; + epsbar = -epsbar; + abar[0][i] = f * a[0][i]; + + if (a[1][i] != 0.0E0) { + abar[1][i] = f * a[1][i]; + } else { + abar[1][i] = 0.0E0; + } + + } else { + + if (a[1][i] != 0.0E0) { + f = 1.0E0 + epsbar; + epsbar = -epsbar; + abar[1][i] = f * a[1][i]; + } else { + abar[1][i] = 0.0E0; + } + } + } + + // Compute the roots of the perturbed polynomial. + ifail = 0; + double[] abar1d = convert2DTo1D(abar); + double[] zbar1d = convert2DTo1D(zbar); + c02af.eval(abar1d, n, scal, zbar1d, w, ifail); + + zbar = convert1DTo2D(zbar1d, 2); + + // Perform error analysis. + + // Initialize markers to 0 (unmarked). + Arrays.fill(m, 0); + X02AL x02al = new X02AL(); + rmax = x02al.eval(); + + // Loop over all unperturbed roots (stored in Z). + A02AB a02ab = new A02AB(); + for (i = 0; i < n; i++) { + deltai = rmax; + r1 = a02ab.eval(z[0][i], z[1][i]); + + // Loop over all perturbed roots (stored in ZBAR). + for (j = 0; j < n; j++) { + // Compare the current unperturbed root to all unmarked + // perturbed roots. + + if (m[j] == 0) { + r2 = a02ab.eval(zbar[0][j], zbar[1][j]); + deltac = Math.abs(r1 - r2); + + if (deltac < deltai) { + deltai = deltac; + jmin = j; + } + } + } + + // Mark the selected perturbed root. + m[jmin] = 1; + + // Compute the relative error. + if (r1 != 0.0E0) { + r3 = a02ab.eval(zbar[0][jmin], zbar[1][jmin]); + di = Math.min(r1, r3); + r[i] = Math.max(deltai / Math.max(di, deltai / rmax), eps); + } else { + r[i] = 0.0E0; + } + } + + System.out.println(); + System.out.printf(" Degree of polynomial = %4d\n", n); + System.out.println(); + System.out.println(" Computed roots of polynomial Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < n; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", z[0][i], z[1][i], r[i]); + } + + } + + public static double[] convert2DTo1D(double[][] a) { + double[] b = new double[a.length * a[0].length]; + int n = a.length; + + for (int i = 0; i < a.length; i++) { + for (int j = 0; j < a[0].length; j++) { + b[i + j*n] = a[i][j]; + } + } + + return b; + } + + public static double[][] convert1DTo2D(double[] a, int n) { + double[][] b = new double[n][a.length / n]; + + for (int i = 0; i < b.length; i++) { + for (int j = 0; j < b[0].length; j++) { + b[i][j] = a[i + j*n]; + } + } + + return b; + } +} diff --git a/simple_examples/int32/C02AGJE.java b/simple_examples/int32/C02AGJE.java new file mode 100644 index 0000000..c58e524 --- /dev/null +++ b/simple_examples/int32/C02AGJE.java @@ -0,0 +1,262 @@ +import com.nag.routines.C02.C02AG; +import com.nag.routines.A02.A02AB; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X02.X02AL; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * C02AG + */ +public class C02AGJE { + + public static final boolean scal = true; + + public static void main(String[] args) { + + System.out.println(" C02AGJ Example Program Results"); + + ex1(args); + + ex2(args); + } + + public static void ex1(String[] args) { + double zi, zr; + int i, ifail, n = 0, nroot; + + double[] a = null, w = null; + double[][] z = null; + + System.out.println("\n\n Example 1\n"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading in data file + reader.readLine(); + reader.readLine(); + reader.readLine(); + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + a = new double[n + 1]; + w = new double[2 * (n + 1)]; + z = new double[2][n]; + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i <= n; i++) { + a[i] = Double.parseDouble(sVal[i]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + System.out.println(); + System.out.printf(" Degree of polynomial = %4d\n", n); + System.out.println(); + + ifail = 0; + C02AG c02ag = new C02AG(); + double[] z1d = convert2DTo1D(z); + c02ag.eval(a, n, scal, z1d, w, ifail); + + z = convert1DTo2D(z1d, 2); + + System.out.println(" Computed roots of polynomial"); + System.out.println(); + + nroot = 0; + + while (nroot < n) { + zr = z[0][nroot]; + zi = z[1][nroot]; + if (zi == 0.0E0) { + System.out.printf(" z = %12.4E\n", zr); + nroot += 1; + } else { + System.out.printf(" z = %12.4E +/- %12.4E*i\n", zr, Math.abs(zi)); + nroot += 2; + } + } + } + + public static void ex2(String[] args) { + + double deltac, deltai, di, eps, epsbar, f, r1, r2, r3, rmax; + int i, ifail, j, jmin = 0, n = 0; + + double[] a = null, abar = null, r = null, w = null; + double[][] z = null, zbar = null; + int[] m = null; + + System.out.println("\n\n Example 2"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading and previous example in data file + for (i = 0; i < 7; i++) { + reader.readLine(); + } + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + + a = new double[n+1]; + abar = new double[n+1]; + r = new double[n]; + w = new double[2 * (n+1)]; + z = new double[2][n]; + zbar = new double[2][n]; + m = new int[n]; + + // Read in the coefficients of the original polynomial. + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i <= n; i++) { + a[i] = Double.parseDouble(sVal[i]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Compute the roots of the original polynomial. + ifail = 0; + C02AG c02ag = new C02AG(); + double[] z1d = convert2DTo1D(z); + c02ag.eval(a, n, scal, z1d ,w, ifail); + + z = convert1DTo2D(z1d, 2); + + // Form the coefficients of the perturbed polynomial. + X02AJ x02aj = new X02AJ(); + eps = x02aj.eval(); + epsbar= 3.0 * eps; + + for (i = 0; i <= n; i++) { + if (a[i] != 0.0) { + f = 1.0 + epsbar; + epsbar = -epsbar; + abar[i] = f * a[i]; + } else { + abar[i] = 0.0E0; + } + } + + // Compute the roots of the perturbed polynomial. + ifail = 0; + double[] zbar1d = convert2DTo1D(zbar); + c02ag.eval(abar, n, scal, zbar1d, w, ifail); + + zbar = convert1DTo2D(zbar1d, 2); + + // Perform error analysis. + + // Initialize markers to 0 (unmarked). + Arrays.fill(m, 0); + + X02AL x02al = new X02AL(); + rmax = x02al.eval(); + + // Loop over all unperturbed roots (stored in Z). + A02AB a02ab = new A02AB(); + for (i = 0; i < n; i++) { + deltai = rmax; + r1 = a02ab.eval(z[0][i], z[1][i]); + + // Loop over all perturbed roots (stored in ZBAR). + for (j = 0; j < n; j++) { + // Compare the current unperturbed root to all unmarked + // perturbed roots. + + if (m[j] == 0) { + r2 = a02ab.eval(zbar[0][i], zbar[1][i]); + deltac = Math.abs(r1-r2); + + if (deltac < deltai) { + deltai = deltac; + jmin = j; + } + } + } + + // Mark the selected perturbed root. + m[jmin] = 1; + + // Compute the relative error. + if (r1 != 0.0E0) { + r3 = a02ab.eval(zbar[0][jmin], zbar[1][jmin]); + di = Math.min(r1, r3); + r[i] = Math.max(deltai / Math.max(di, deltai / rmax), eps); + } else { + r[i] = 0.0; + } + } + + System.out.println(); + System.out.printf(" Degree of polynomial = %4d\n", n); + System.out.println(); + System.out.println(" Computed roots of polynomial Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < n; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", z[0][i], z[1][i], r[i]); + } + } + + public static double[] convert2DTo1D(double[][] a) { + double[] b = new double[a.length * a[0].length]; + int n = a.length; + + for (int i = 0; i < a.length; i++) { + for (int j = 0; j < a[0].length; j++) { + b[i + j * n] = a[i][j]; + } + } + + return b; + } + + public static double[][] convert1DTo2D(double[] a, int n) { + double[][] b = new double[n][a.length / n]; + + for (int i = 0; i < b.length; i++) { + for (int j = 0; j < b[0].length; j++) { + b[i][j] = a[i + j * n]; + } + } + + return b; + } +} diff --git a/simple_examples/int32/C02AHJE.java b/simple_examples/int32/C02AHJE.java new file mode 100644 index 0000000..b1e12cd --- /dev/null +++ b/simple_examples/int32/C02AHJE.java @@ -0,0 +1,61 @@ +import com.nag.routines.C02.C02AH; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AH + */ +public class C02AHJE { + + public static void main(String[] args) { + + double ai = 0, ar = 0, bi = 0, br = 0, ci = 0, cr = 0; + int ifail; + + double[] zlg = new double[2]; + double[] zsm = new double[2]; + + System.out.println(" C02AHJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + ar = Double.parseDouble(sVal[0]); + ai = Double.parseDouble(sVal[1]); + br = Double.parseDouble(sVal[2]); + bi = Double.parseDouble(sVal[3]); + cr = Double.parseDouble(sVal[4]); + ci = Double.parseDouble(sVal[5]); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = -1; + C02AH c02ah = new C02AH(); + c02ah.eval(ar, ai, br, bi, cr, ci, zsm, zlg, ifail); + ifail = c02ah.getIFAIL(); + + if (ifail == 0) { + System.out.println("\n Roots of quadratic equation\n"); + System.out.printf(" z = %12.4E%+14.4E*i\n", zsm[0], zsm[1]); + System.out.printf(" z = %12.4E%+14.4E*i\n", zlg[0], zlg[1]); + } + } +} diff --git a/simple_examples/int32/C02AJJE.java b/simple_examples/int32/C02AJJE.java new file mode 100644 index 0000000..64e3a5e --- /dev/null +++ b/simple_examples/int32/C02AJJE.java @@ -0,0 +1,65 @@ +import com.nag.routines.C02.C02AJ; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AJ + */ +public class C02AJJE { + + public static void main(String[] args) { + + double a = 0, b = 0, c = 0; + int ifail; + + double[] zlg = new double[2]; + double[] zsm = new double[2]; + + System.out.println(" C02AJJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + a = Double.parseDouble(sVal[0]); + b = Double.parseDouble(sVal[1]); + c = Double.parseDouble(sVal[2]); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = -1; + C02AJ c02aj = new C02AJ(); + c02aj.eval(a, b, c, zsm, zlg, ifail); + ifail = c02aj.getIFAIL(); + + if (ifail == 0) { + System.out.println("\n Roots of quadratic equation\n"); + + if (zsm[1] == 0.0E0) { + // 2 real roots. + System.out.printf(" z = %12.4E\n", zsm[0]); + System.out.printf(" z = %12.4E\n", zlg[0]); + } else { + // 2 complex roots. + System.out.printf(" z = %12.4E +/- %12.4E*i", zsm[0], Math.abs(zsm[1])); + } + } + } +} diff --git a/simple_examples/int32/C02AKJE.java b/simple_examples/int32/C02AKJE.java new file mode 100644 index 0000000..4a0579f --- /dev/null +++ b/simple_examples/int32/C02AKJE.java @@ -0,0 +1,62 @@ +import com.nag.routines.C02.C02AK; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AK + */ +public class C02AKJE { + + public static void main(String[] args) { + + double r = 0, s = 0, t = 0, u = 0; + int i, ifail; + + double[] errest = new double[3]; + double[] zeroi = new double[3]; + double[] zeror = new double[3]; + + System.out.println(" C02AKJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + u = Double.parseDouble(sVal[0]); + r = Double.parseDouble(sVal[1]); + s = Double.parseDouble(sVal[2]); + t = Double.parseDouble(sVal[3]); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = 0; + C02AK c02ak = new C02AK(); + c02ak.eval(u, r, s, t, zeror, zeroi, errest, ifail); + + System.out.println(); + System.out.println(" Roots of cubic equation Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < 3; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); + } + } +} diff --git a/simple_examples/int32/C02ALJE.java b/simple_examples/int32/C02ALJE.java new file mode 100644 index 0000000..4f9eac9 --- /dev/null +++ b/simple_examples/int32/C02ALJE.java @@ -0,0 +1,64 @@ +import com.nag.routines.C02.C02AL; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AL + */ +public class C02ALJE { + + public static void main(String[] args) { + + double a = 0, b = 0, c = 0, d = 0, e = 0; + int i, ifail; + + double[] errest = new double[4]; + double[] zeroi = new double[4]; + double[] zeror = new double[4]; + + System.out.println(" C02ALJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + e = Double.parseDouble(sVal[0]); + a = Double.parseDouble(sVal[1]); + b = Double.parseDouble(sVal[2]); + c = Double.parseDouble(sVal[3]); + d = Double.parseDouble(sVal[4]); + + } catch (FileNotFoundException e_exception) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e_exception) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e_exception.getMessage()); + } + + ifail = 0; + C02AL c02al = new C02AL(); + c02al.eval(e, a, b, c, d, zeror, zeroi, errest, ifail); + ifail = c02al.getIFAIL(); + + System.out.println(); + System.out.println(" Roots of quartic equation Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < 4; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); + } + } +} diff --git a/simple_examples/int32/C02AMJE.java b/simple_examples/int32/C02AMJE.java new file mode 100644 index 0000000..f1fffa4 --- /dev/null +++ b/simple_examples/int32/C02AMJE.java @@ -0,0 +1,75 @@ +import com.nag.routines.C02.C02AM; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AM + */ +public class C02AMJE { + + public static void main(String[] args) { + + Routine.setComplex(new NAGComplex()); + + NAGComplex r = null, s = null, t = null, u = null; + int i, ifail; + + double[] errest = new double[3]; + double[] zeroi = new double[3]; + double[] zeror = new double[3]; + + System.out.println(" C02AMJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine().replaceAll("[(),]", ""); + String[] sVal = line.trim().split("\\s+"); + u = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + r = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + s = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + t = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = 0; + C02AM c02am = new C02AM(); + c02am.eval(u, r, s, t, zeror, zeroi, errest, ifail); + + System.out.println(); + System.out.println(" Roots of cubic equation Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < 3; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); + } + } +} diff --git a/simple_examples/int32/C02ANJE.java b/simple_examples/int32/C02ANJE.java new file mode 100644 index 0000000..dc865e2 --- /dev/null +++ b/simple_examples/int32/C02ANJE.java @@ -0,0 +1,80 @@ +import com.nag.routines.C02.C02AN; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AN + */ +public class C02ANJE { + + public static void main(String[] args) { + + Routine.setComplex(new NAGComplex()); + + NAGComplex a = null, b = null, c = null, d = null, e = null; + int i, ifail; + + double[] errest = new double[4]; + double[] zeroi = new double[4]; + double[] zeror = new double[4]; + + System.out.println(" C02ANJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine().replaceAll("[(),]", ""); + String[] sVal = line.trim().split("\\s+"); + e = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + a = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + b = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + c = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + d = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + } catch (FileNotFoundException e_exception) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e_exception) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e_exception.getMessage()); + } + + ifail = 0; + C02AN c02an = new C02AN(); + c02an.eval(e, a, b, c, d, zeror, zeroi, errest, ifail); + ifail = c02an.getIFAIL(); + + System.out.println(); + System.out.println(" Roots of quartic equation Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < 4; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); + } + } +} diff --git a/simple_examples/int32/C05AUJE.java b/simple_examples/int32/C05AUJE.java new file mode 100644 index 0000000..d2b09b1 --- /dev/null +++ b/simple_examples/int32/C05AUJE.java @@ -0,0 +1,67 @@ +import com.nag.routines.C05.C05AU; + +/** + * C05AUJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class C05AUJE{ + + /** + * C05AUJ main program + */ + public static void main(String[] args){ + double a = 0, b = 0, eps, eta, h, x; //placeholders + int ifail; + double[] ruser; + int[] iuser; + + ruser = new double[1]; //need to initialise before passing to wrapper + iuser = new int[1]; + + System.out.println("C05AUJ Example Program Results"); + + x = 1; + h = 0.1; + eps = 0.00001; + eta = 0; + + //Instance of class f to pass to wrapper + f f1 = new f(); + + ifail = -1; + C05AU c05au = new C05AU(x, h, eps, eta, f1, a, b, iuser, ruser, ifail); + c05au.eval(); + + //update values + x = c05au.getX(); + a = c05au.getA(); + b = c05au.getB(); + ifail = c05au.getIFAIL(); + + System.out.println(); + + switch(ifail){ + case 0: + System.out.printf("Root is : \t%.5f\n", x); + System.out.printf("Interval searched is : \t[ %.5f, %.5f]\n", a, b); + break; + case 3: + case 4: + System.out.printf("Final value = %.5f\n", x); + break; + } + } + + /** + * Extends abstract class C05AU.Abstract_C05AU_F. eval() returns the value of the function at a given x. + * eval() must be implemented by the user. + * @return x - e^x + */ + public static class f extends C05AU.Abstract_C05AU_F{ + public double eval(){ + return(this.X - Math.exp(-this.X)); + } + } +} + diff --git a/simple_examples/int32/C05AWJE.java b/simple_examples/int32/C05AWJE.java new file mode 100644 index 0000000..6ea3c9f --- /dev/null +++ b/simple_examples/int32/C05AWJE.java @@ -0,0 +1,59 @@ +import com.nag.routines.C05.C05AW; + +public class C05AWJE{ + + public static void main(String[] args){ + double eps, eta, x; + int ifail, nfmax; + double[] ruser; + int[] iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println("C05AWJ Example Program Results"); + System.out.println(); + + boolean finished = false; + for(int i = 3; i <= 4; i++){ + eps = Math.pow(10, -i); + x = 1; + eta = 0; + nfmax = 200; + + ifail = -1; + f f1 = new f(); + C05AW c05aw = new C05AW(x, eps, eta, f1, nfmax, iuser, ruser, ifail); + c05aw.eval(); + + ifail = c05aw.getIFAIL(); + x = c05aw.getX(); + eps = c05aw.getEPS(); + + switch(ifail){ + case(0): + System.out.printf("With eps = %.2e root = %.5f\n", eps, x); + break; + case(-1): + //exit loop + finished = true; + break; + case(3): + case(4): + System.out.printf("With eps = %.2e root = %.5f\n", eps, x); + break; + } + if(finished){ + break; + } + } + } + + public static class f extends C05AW.Abstract_C05AW_F{ + public double eval(){ + return(Math.exp(-X) - X); + } + } +} + + diff --git a/simple_examples/int32/C05AYJE.java b/simple_examples/int32/C05AYJE.java new file mode 100644 index 0000000..c9ee43b --- /dev/null +++ b/simple_examples/int32/C05AYJE.java @@ -0,0 +1,44 @@ +import com.nag.routines.C05.C05AY; + +/** + * C05AY example program text. + */ +public class C05AYJE { + + public static void main(String[] args) { + + C05AY c05ay = new C05AY(); + OBJFUN f = new OBJFUN(); + double a = 0.0, b = 1.0, eps = 1.0e-5, eta = 0.0, x = 0.0; + int ifail = 0; + int[] iuser = new int[1]; + double[] ruser = new double[1]; + + System.out.println("C05AYJ Example Program Results"); + System.out.println(); + + c05ay.eval(a, b, eps, eta, f, x, iuser, ruser, ifail); + x = c05ay.getX(); + + switch (ifail) { + case 0: + System.out.printf("Zero at x = %12.5f\n", x); + break; + case 2: case 3: + System.out.printf("Final point = %12.5f\n", x); + break; + default: + System.out.println("Unexpected ifail = " + ifail); + } + + } + + private static class OBJFUN extends C05AY.Abstract_C05AY_F { + + public double eval() { + return Math.exp(-X) - X; + } + + } + +} diff --git a/simple_examples/int32/C05AZJE.java b/simple_examples/int32/C05AZJE.java new file mode 100644 index 0000000..7c3e27e --- /dev/null +++ b/simple_examples/int32/C05AZJE.java @@ -0,0 +1,65 @@ +import com.nag.routines.C05.C05AZ; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * C05AZ example program text. + */ +public class C05AZJE { + + public static void main(String[] args) { + double tolx = 0.00001, x = 0.0, y = 1.0, fx; + int ir = 0, ind = 1, ifail = -1; + double[] c = new double[17]; + boolean keepOn = true; + + + C05AZ c05az = new C05AZ(); + fx = fun(x); + int ite = 0; + + System.out.println(" C05AZJ Example Program Results\n"); + System.out.println(" Iterations\n"); + + while (keepOn) { + ++ite; + + c05az.eval(x,y,fx,tolx,ir,c,ind,ifail); + + x = c05az.getX(); + y = c05az.getY(); + tolx = c05az.getTOLX(); + ir = c05az.getIR(); + ind = c05az.getIND(); + ifail = c05az.getIFAIL(); + if (ind == 0) { + keepOn = false; + } + else { + fx = fun(x); + System.out.printf(" X = %7.5f FX = %11.4E IND = %1d\n", x, fx, ind); + } + + } + + switch (ifail) { + case 0: + System.out.println("\n Solution\n"); + System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); + break; + case 4: + case 5: + System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); + break; + default: + System.out.printf("Unexpected error ifail=%d\n",ifail); + } + + } + + private static double fun(double x) { + double res = (Math.expm1(-x) + 1) - x; + return res; + } + +} diff --git a/simple_examples/int32/C05BBJE.java b/simple_examples/int32/C05BBJE.java new file mode 100644 index 0000000..4723773 --- /dev/null +++ b/simple_examples/int32/C05BBJE.java @@ -0,0 +1,89 @@ +import com.nag.routines.C05.C05BB; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C05BBJ Example program text. + * @author willa + * @since 27.1.0.0 + */ +public class C05BBJE{ + + /** + * C05BBJE main program text + */ + public static void main(String[] args){ + NAGComplex w, z; + double resid = 0; + int branch = 0, ifail = 0; //placeholder + boolean offset = false; //placeholder + + //need to initialise first + z = new NAGComplex(); + w = new NAGComplex(); + + System.out.println("C05BBJ Example Program Results"); + + if(args.length != 1){ + System.out.println("Please specify path to data file as input"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + branch = Integer.parseInt(sVal[0]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + offset = Boolean.parseBoolean(sVal[0]); + + System.out.printf("Branch = %d\n", branch); + System.out.printf("Offset = %b\n", offset); + + System.out.println(); + System.out.printf("\t\tZ\t\t\tW(Z)\t\t\t\tRESID\tIFAIL\n"); + System.out.println(); + + while(true){ + line = reader.readLine(); + if(line == null){ + break; + } + sVal = line.split("\\s+"); + + z.setRe(Double.parseDouble(sVal[0])); + z.setIm(Double.parseDouble(sVal[1])); + + ifail = -1; + C05BB c05bb = new C05BB(branch, offset, z, w, resid, ifail); + c05bb.eval(); + + z = (NAGComplex) c05bb.getZ(); + w = (NAGComplex) c05bb.getW(); + resid = c05bb.getRESID(); + ifail = c05bb.getIFAIL(); + + if(ifail < 0){ + break; + } + + System.out.printf("(%.5e, %.5e)\t (%.5e, %.5e)\t %.5e\t %d\n", z.getRe(), z.getIm(), w.getRe(), w.getIm(), resid, ifail); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} diff --git a/simple_examples/int32/C05MBJE.java b/simple_examples/int32/C05MBJE.java new file mode 100644 index 0000000..9b46ff5 --- /dev/null +++ b/simple_examples/int32/C05MBJE.java @@ -0,0 +1,95 @@ +import com.nag.routines.C05.C05MB; +import com.nag.routines.F06.DNRM2; +import com.nag.routines.X02.X02AJ; + +/** + * C05MBJ example program text. + * + * @author joed + * @since 27.0.0.0 + * + */ +public class C05MBJE { + + private static final int n = 4; + + private static class FCN extends C05MB.Abstract_C05MB_FCN { + + public void eval() { + + FVEC[0] = Math.cos(X[2]) - X[0]; + FVEC[1] = Math.sqrt(1.0 - Math.pow(X[3],2)) - X[1]; + FVEC[2] = Math.sin(X[0]) - X[2]; + FVEC[3] = Math.pow(X[1], 2) - X[3]; + + // Set iflag negative to terminate execution for any reason + IFLAG = 0; + + return; + + } + + } + + /** + * C05MBJ example main program. + */ + public static void main(String[] args) { + + C05MB c05mb = new C05MB(); + DNRM2 dnrm2 = new DNRM2(); + X02AJ x02aj = new X02AJ(); + FCN fcn = new FCN(); + long cpuser; + double atol, cndtol, fnorm, machpr, rtol; + int astart, i, ifail, m; + double[] fvec, x; + double[] ruser = new double[1]; + int[] iuser = new int[1]; + + System.out.println("C05MBJ Example Program Results\n"); + + // Get machine precision from X02AJ + machpr = (new X02AJ()).eval(); + + fvec = new double[n]; + x = new double[n]; + + // The following starting values provide a rough solution + x = new double[]{2.0, 0.5, 2.0, 0.5}; + + m = 2; + atol = Math.sqrt(machpr); + rtol = Math.sqrt(machpr); + cndtol = 0.0; + astart = 0; + cpuser = 0; + + ifail = -1; + c05mb.eval(fcn, n, x, fvec, atol, rtol, m, cndtol, astart, iuser, ruser, + cpuser, ifail); + ifail = c05mb.getIFAIL(); + + if (ifail == 0 || ifail == 8 || ifail == 9) { + if (ifail == 0) { + // The NAG name equivalent of dnrm2 is f06ej + fnorm = dnrm2.eval(n, fvec, 1); + System.out.println(); + System.out.printf("Final 2-norm of the residuals = %12.4e\n", fnorm); + System.out.println(); + System.out.println("Final approximate solution"); + } + else { + System.out.println(); + System.out.println("Approximate solution"); + } + System.out.println(); + for (i = 1; i <= n; i++) { + System.out.printf("%12.4f", x[i-1]); + } + System.out.printf("\n"); + } + + } + +} diff --git a/simple_examples/int32/C05QBJE.java b/simple_examples/int32/C05QBJE.java new file mode 100644 index 0000000..4b93405 --- /dev/null +++ b/simple_examples/int32/C05QBJE.java @@ -0,0 +1,167 @@ +import com.nag.routines.C05.C05QB; +import com.nag.routines.F06.DNRM2; +import com.nag.routines.X02.X02AJ; + +/** + * C05QB example program text. + * @author ludovic + */ +public class C05QBJE { + + public static void main(String[] args) { + + C05QB c05qb = new C05QB(); + + System.out.println(" C05QBJ Example Program Results"); + + int n = 9, ifail = -1; + + double xtol, fnorm; + + int[] IUSER = new int[1]; + double[] fvec = new double[n]; + double[] x = new double[n]; + double[] RUSER = new double[1]; + + + FCN fcn = new FCN(); + + for (int i = 0; i < n; ++i) { + x[i] = -1.0; + } + xtol = Math.sqrt((new X02AJ()).eval()); + + c05qb.eval(fcn, n, x, fvec, xtol, IUSER, RUSER, ifail); + + ifail = c05qb.getIFAIL(); + + switch (ifail) { + case (0): + fnorm = (new DNRM2(n, fvec, 1)).eval(); + System.out.println(); + System.out.printf(" Final 2-norm of the residuals = %11.4E\n", fnorm); + System.out.println(); + System.out.println(" Final approximate solution"); + int count = 0; + for (int i = 0; i < n; ++i) { + System.out.printf(" %12.4f", x[i]); + ++count; + if (count == 3) { + System.out.println(); + count = 0; + } + } + break; + case (2): + case (3): + case (4): + System.out.println("Approximate solution"); + count = 0; + for (int i = 0; i < n; ++i) { + System.out.printf(" %12.4f", x[i]); + ++count; + if (count == 3) { + System.out.println(); + count = 0; + } + } + break; + } + + } + + public static class FCN implements C05QB.C05QB_FCN { + + private int N, IFLAG; + private double[] X, FVEC, RUSER; + private int[] IUSER; + + @Override + public void setN(int N) { + this.N = N; + } + + @Override + public int getN() { + return N; + } + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setFVEC(double[] FVEC) { + this.FVEC = FVEC; + } + + @Override + public double[] getFVEC() { + return FVEC; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void eval(int N, double[] X, double[] FVEC, int[] IUSER, double[] RUSER, int IFLAG) { + + /* + * fvec(1:n) = (3.0_nag_wp-2.0_nag_wp*x(1:n))*x(1:n) + 1.0_nag_wp + * fvec(2:n) = fvec(2:n) - x(1:(n-1)) + * fvec(1:(n-1)) = fvec(1:(n-1)) - 2.0_nag_wp*x(2:n) + */ + for (int i = 0; i < N; ++i) { + FVEC[i] = (3.0 - 2.0 * X[i]) * X[i] + 1.0; + /*if (i >= 1) { + FVEC[i] = FVEC[i] - X[i - 1]; + } + if (i < N - 1) { + FVEC[i] = FVEC[i] - 2.0 * X[i + 1]; + }*/ + } + for (int i = 1; i < N; ++i) { + FVEC[i] = FVEC[i] - X[i - 1]; + } + for (int i = 0; i < N-1; ++i) { + FVEC[i] = FVEC[i] - 2.0 * X[i + 1]; + } + + } + + } + +} diff --git a/simple_examples/int32/C06BAJE.java b/simple_examples/int32/C06BAJE.java new file mode 100644 index 0000000..541d4d3 --- /dev/null +++ b/simple_examples/int32/C06BAJE.java @@ -0,0 +1,56 @@ +import com.nag.routines.C06.C06BA; +import com.nag.routines.X01.X01AA; + +/** + * C06BAJ example program text. + * @author willa + */ +public class C06BAJE{ + + public static void main(String[] args){ + int lwork = 16, nout = 6; + int ifail, ncall; + double abserr = 0.0, ans, error, pi = 0.0, r, result = 0.0, seqn, sig; + double[] work; + + C06BA c06ba = new C06BA(); + work = new double[lwork]; + + System.out.println("C06BAJ Example Program Results"); + System.out.println(); + + X01AA x01aa = new X01AA(pi); + pi = x01aa.eval(); + + ans = Math.pow(pi, 2)/12.0; + ncall = 0; + sig = 1.0; + seqn = 0.0; + System.out.println("\t\t\t Estimated\t Actual"); + System.out.println("I\t SEQN \t RESULT\t abs error\t error"); + System.out.println(); + + for(int i = 0; i < 10; i++){ + r = (double) i + 1; + seqn = seqn + sig/Math.pow(r, 2); + + ifail = 0; + c06ba.eval(seqn, ncall, result, abserr, work, lwork, ifail); + + //update variables + ncall = c06ba.getNCALL(); + result = c06ba.getRESULT(); + abserr = c06ba.getABSERR(); + + error = result - ans; + sig = -sig; + + if(i <= 2){ + System.out.printf("%d\t %.4f\t %.4f\t -\t\t %.2e\n", (i + 1), seqn, result, error); + } + else{ + System.out.printf("%d\t %.4f\t %.4f\t %.2e\t %.2e\n", (i + 1), seqn, result, abserr, error); + } + } + } +} diff --git a/simple_examples/int32/C06FKJE.java b/simple_examples/int32/C06FKJE.java new file mode 100644 index 0000000..58db62f --- /dev/null +++ b/simple_examples/int32/C06FKJE.java @@ -0,0 +1,91 @@ +import com.nag.routines.C06.C06FK; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C06FKJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class C06FKJE{ + + /** + * C06FKJE main program + */ + public static void main(String[] args){ + int ifail = 0, n = 0; //placeholder + double[] work, xa, xb, ya, yb; + + work = new double[0]; + xa = new double[0]; + xb = new double[0]; + ya = new double[0]; + yb = new double[0]; //placeholders + + System.out.println("C06FKJ Example Program Results"); + System.out.println(); + + //Supply file path as argument + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //Loop until break... + while(true){ + line = reader.readLine(); + //Break when the end of the file is reached + if(line == null){ + break; + } + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[0]); + + work = new double[n]; + xa = new double[n]; + xb = new double[n]; + ya = new double[n]; + yb = new double[n]; + + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + xa[i] = Double.parseDouble(sVal[0]); + xb[i] = xa[i]; + ya[i] = Double.parseDouble(sVal[1]); + yb[i] = ya[i]; + } + + ifail = 0; + + C06FK c06fk1 = new C06FK(1, xa, ya, n, work, ifail); + c06fk1.eval(); + xa = c06fk1.getX(); + C06FK c06fk2 = new C06FK(2, xb, yb, n, work, ifail); + c06fk2.eval(); + xb = c06fk2.getX(); + + System.out.printf("\tCovolution \tCorrelation\n"); + System.out.println(); + + for(int i = 0; i < n; i++){ + System.out.printf("%d\t%.5f\t\t%.5f\n", i, xa[i], xb[i]); + } + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} diff --git a/simple_examples/int32/C09AAJE.java b/simple_examples/int32/C09AAJE.java new file mode 100644 index 0000000..48c38b6 --- /dev/null +++ b/simple_examples/int32/C09AAJE.java @@ -0,0 +1,158 @@ +import com.nag.routines.C09.C09AA; +import com.nag.routines.C09.C09CC; +import com.nag.routines.C09.C09CD; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C09AAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class C09AAJE{ + + /** + * C09AAJ example main program + */ + public static void main(String[] args){ + int ifail, lenc = 0, n = 0, nf = 0, nnz, nwc = 0, nwlmax = 0, ny; //placeholders + String mode = "", wavnam = "", wtrans; //placeholders + int[] dwtlev, icomm; + double[] c, x, y; + + x = new double[0]; y = new double[0]; //placeholders + + //print error message if no data file given + if(args.length != 1){ + C09AAJE.usage(); + } + + icomm = new int[100]; + + System.out.println("C09AAJ Example Program Results"); + System.out.println(); + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[1]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + wavnam = sVal[1]; + mode = sVal[2]; + + x = new double[n]; + y = new double[n]; + + System.out.printf("Parameters read from file :: \n \tWavelet : %s \tEnd mode : %s \t N = %d\n", wavnam, mode, n); + + System.out.println("Input data \tX : "); + for(int i = 0; i < n; i++){ + line = reader.readLine(); + //Avoid errors with data file format and negative numbers + line = " " + line; + sVal = line.split("\\s+"); + x[i] = Double.parseDouble(sVal[1]); + System.out.printf("%.3f\t", x[i]); + } + System.out.printf("\n"); + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + //Query wavelet filter dimensions + //For Multi-Resolution analysis ,decomposition, wrtrans = 'M' + wtrans = "Multilevel"; + + //ifail: behaviour on error exit + // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft + ifail = 0; + C09AA c09aa = new C09AA(wavnam, wtrans, mode, n, nwlmax, nf, nwc, icomm, ifail); + c09aa.eval(); + + nwc = c09aa.getNWC(); + nwlmax = c09aa.getNWLMAX(); + lenc = nwc; + c = new double[lenc]; + dwtlev = new int[nwlmax + 1]; + + icomm = c09aa.getICOMM(); + ifail = 0; + //Perform discrete wavelet transform + C09CC c09cc = new C09CC(n, x, lenc, c, nwlmax, dwtlev, icomm, ifail); + c09cc.eval(); + + nf = c09aa.getNF(); + nwlmax = c09cc.getNWL(); + dwtlev = c09cc.getDWTLEV(); + c = c09cc.getC(); + + System.out.println(); + System.out.printf("Length of wavelet filter : \t%d\n", nf); + System.out.printf("Number of Levels : \t%d\n", nwlmax); + System.out.printf("Number of coefficients in each level: \n\t\t"); + for(int i = 0; i <= nwlmax; i++){ + System.out.printf("%d\t ", dwtlev[i]); + } + System.out.printf("\n"); + System.out.printf("Total number of wavelength coefficients : %d\n", nwc); + nnz = arraySum(dwtlev); + System.out.println(); + System.out.println("Wavelet coefficients C:"); + for(int i = 0; i < nnz; i++){ + System.out.printf("%.3f ", c[i]); + } + System.out.printf("\n"); + + //Reconstruct original data + ny = n; + + ifail = 0; + lenc = c09cc.getLENC(); + icomm = c09cc.getICOMM(); + C09CD c09cd = new C09CD(nwlmax, lenc, c, ny, y, icomm, ifail); + c09cd.eval(); + + y = c09cd.getY(); + System.out.println(); + System.out.printf("Reconstruction \tY : \n"); + for(int i = 0; i < ny; i++){ + System.out.printf("%.3f ", y[i]); + } + System.out.printf("\n"); + } + + /** + * Finds the sum of all integers in an array + * @param a + * Array to sum + * @return total + */ + private static int arraySum(int[] a){ + int tot = 0; + for(int i = 0; i < a.length; i++){ + tot += a[i]; + } + return tot; + } + + /** + * No arguments supplied when exmaple runs + */ + private static void usage(){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} diff --git a/simple_examples/int32/D01BDJE.java b/simple_examples/int32/D01BDJE.java new file mode 100644 index 0000000..8659cc4 --- /dev/null +++ b/simple_examples/int32/D01BDJE.java @@ -0,0 +1,58 @@ +import com.nag.routines.D01.D01BD; + +/** + * D01BD example program text. + */ +public class D01BDJE { + + public static void main(String[] args) { + + double a = 0.0, b = 1.0; + double epsabs = 0.0, epsrel = 0.0001; + double result = Double.NaN; + double abserr = Double.NaN; + FUN fun = new FUN(); + D01BD d01bd = new D01BD(fun, a, b, epsabs, epsrel, result, abserr); + + d01bd.eval(); + result = d01bd.getRESULT(); + abserr = d01bd.getABSERR(); + + System.out.println(" D01BDJ Example Program Results"); + + System.out.println(); + System.out.printf(" A - lower limit of integration = %10.4f\n",a); + System.out.printf(" B - upper limit of integration = %10.4f\n",b); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.println(); + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.println(); + + if (abserr > Math.max(epsabs,epsrel*Math.abs(result))) { + System.out.println("Warning - requested accuracy may not have been achieved"); + } + + } + + + public static class FUN implements D01BD.D01BD_F { + + private double x; + + public double eval(double x) { + return (x * x * Math.sin(10.0 * Math.PI * x)); + } + + public double getX() { + return x; + } + + public void setX(double d) { + x = d; + } + + } + +} diff --git a/simple_examples/int32/D01RJJE.java b/simple_examples/int32/D01RJJE.java new file mode 100644 index 0000000..9eee98a --- /dev/null +++ b/simple_examples/int32/D01RJJE.java @@ -0,0 +1,184 @@ +import com.nag.routines.D01.D01RJ; +import com.nag.routines.X01.X01AA; +import java.util.Arrays; + +/** + * D01RJ example program text. + * @author Mo + */ +public class D01RJJE { + + public static void main(String[] args) { + + double pi = 0.0; + double a, b, epsabs, epsrel; + double result = Double.NaN; + double abserr = Double.NaN; + double[] rinfo, ruser; + int [] iinfo, iuser; + int ifail, liinfo, lrinfo, maxsub; + long cpuser; // c_ptr + F f = new F(); + + /* Header */ + System.out.println(" D01RJJ Example Program Results"); + + X01AA x01aa = new X01AA(pi); + pi = x01aa.eval(); + a = 0.0; + b = 2.0*pi; + epsabs = 0.0; + epsrel = 0.0001; + maxsub = 20; + lrinfo = 4*maxsub; + liinfo = Math.max(maxsub,4); + + rinfo = new double[lrinfo]; + iinfo = new int[liinfo]; + iuser = new int[0]; + ruser = new double[0]; + + iuser = new int[] {0}; + /* pass constant to f through ruser */ + ruser = new double[] {4.0*Math.pow(pi,2)}; + cpuser = 0L; + + D01RJ d01rj = new D01RJ(); + ifail = -1; + d01rj.eval(f, a, b, epsabs, epsrel, maxsub, result, abserr, + rinfo, iinfo, iuser, ruser, cpuser, ifail); + result = d01rj.getRESULT(); + abserr = d01rj.getABSERR(); + ifail = d01rj.getIFAIL(); + + if (ifail >= 0) { + System.out.println(); + System.out.printf(" A - lower limit of integration = %9.4f\n",a); + System.out.printf(" B - upper limit of integration = %9.4f\n",b); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); + System.out.println(); + if (ifail <= 5) { + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); + System.out.println(); + } + else if (ifail == -1) { + /* User requested exit */ + System.out.printf(" Exit requested from F with IFLAG %4d\n",iuser[0]); + System.out.println(); + } + + } + + } + + public static class F implements D01RJ.D01RJ_F { + + private int NX, IFLAG; + private double[] X, FV, RUSER; + private int[] IUSER; + private long CPUSER; + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setNX(int NX) { + this.NX = NX; + } + + @Override + public int getNX() { + return NX; + } + + @Override + public void setFV(double[] FV) { + this.FV = FV; + } + + @Override + public double[] getFV() { + return FV; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setCPUSER(long CPUSER) { + this.CPUSER = CPUSER; + } + + @Override + public long getCPUSER() { + return CPUSER; + } + + @Override + public void eval(double[] X, int NX, double[] FV, int IFLAG, + int[] IUSER, double[] RUSER, long CPUSER) { + + for (int i = 0; i < NX; i++) { + FV[i] = 0.0; + } + + for (int i = 0; i < NX; i++) { + if (X[i] == 1.0) { + /* An undefined result will be generated. */ + /* Set iflag to force an immediate exit */ + IFLAG = -1; + /* Store chosen value of iflag in iuser */ + IUSER[0] = IFLAG; + } + } + if (IFLAG != -1) { + for (int j = 0; j < NX; j++) { + FV[j] = X[j] * Math.sin(30.0 * X[j])/ + Math.sqrt(1.0 - Math.pow(X[j],2)/RUSER[0]); + } + } + return; + + } + + } + +} diff --git a/simple_examples/int32/D01RKJE.java b/simple_examples/int32/D01RKJE.java new file mode 100644 index 0000000..20c0501 --- /dev/null +++ b/simple_examples/int32/D01RKJE.java @@ -0,0 +1,173 @@ +import com.nag.routines.D01.D01RK; +import com.nag.routines.X01.X01AA; +import java.util.Arrays; + +/** + * D01RK example program text. + * @author Mo + */ +public class D01RKJE { + + public static void main(String[] args) { + + double pi = 0.0; + double a, b, epsabs, epsrel; + double result = Double.NaN; + double abserr = Double.NaN; + double[] rinfo, ruser; + int [] iinfo, iuser; + int ifail, key, liinfo, lrinfo, maxsub; + long cpuser; // c_ptr + F f = new F(); + + /* Header */ + System.out.println(" D01RKJ Example Program Results"); + + key = 6; + X01AA x01aa = new X01AA(pi); + pi = x01aa.eval(); + a = 0.0; + b = 2.0*pi; + epsabs = 0.0; + epsrel = 0.0001; + maxsub = 20; + lrinfo = 4*maxsub; + liinfo = Math.max(maxsub,4); + + rinfo = new double[lrinfo]; + iinfo = new int[liinfo]; + iuser = new int[0]; + ruser = new double[0]; + + iuser = new int[] {0}; + ruser = new double[] {4.0*Math.pow(pi,2)}; + cpuser = 0L; + + D01RK d01rk = new D01RK(); + ifail = -1; + d01rk.eval(f, a, b, key, epsabs, epsrel, maxsub, result, abserr, + rinfo, iinfo, iuser, ruser, cpuser, ifail); + result = d01rk.getRESULT(); + abserr = d01rk.getABSERR(); + ifail = d01rk.getIFAIL(); + + if (ifail >= 0) { + System.out.println(); + System.out.printf(" A - lower limit of integration = %9.4f\n",a); + System.out.printf(" B - upper limit of integration = %9.4f\n",b); + System.out.printf(" KEY - choice of Gaussian rule = %4d\n",key); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); + System.out.println(); + if (ifail <= 5) { + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); + System.out.println(); + } + else if (ifail == -1) { + /* User requested exit */ + System.out.printf(" Exit requested from F \n"); + System.out.println(); + } + + } + + } + + public static class F implements D01RK.D01RK_F { + + private int NX, IFLAG; + private double[] X, FV, RUSER; + private int[] IUSER; + private long CPUSER; + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setNX(int NX) { + this.NX = NX; + } + + @Override + public int getNX() { + return NX; + } + + @Override + public void setFV(double[] FV) { + this.FV = FV; + } + + @Override + public double[] getFV() { + return FV; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setCPUSER(long CPUSER) { + this.CPUSER = CPUSER; + } + + @Override + public long getCPUSER() { + return CPUSER; + } + + @Override + public void eval(double[] X, int NX, double[] FV, int IFLAG, + int[] IUSER, double[] RUSER, long CPUSER) { + + for (int i = 0; i < NX; i++) { + FV[i] = 0.0; + } + + for (int j = 0; j < NX; j++) { + FV[j] = X[j] * Math.sin(30.0 * X[j]) * Math.cos(X[j]); + } + return; + + } + + } + +} diff --git a/simple_examples/int32/D01RLJE.java b/simple_examples/int32/D01RLJE.java new file mode 100644 index 0000000..c8a6d0e --- /dev/null +++ b/simple_examples/int32/D01RLJE.java @@ -0,0 +1,196 @@ +import com.nag.routines.D01.D01RL; +import java.util.Arrays; + +/** + * D01RL example program text. + * @author Mo + */ +public class D01RLJE { + + public static void main(String[] args) { + + double a, b, epsabs, epsrel; + double result = Double.NaN; + double abserr = Double.NaN; + double[] points, rinfo, ruser; + int [] iinfo, iuser; + int ifail, liinfo, lrinfo, maxsub, npts; + long cpuser; // c_ptr + F f = new F(); + + /* Header */ + System.out.println(" D01RLJ Example Program Results"); + + epsabs = 0.0; + epsrel = 0.0001; + a = 0.0; + b = 1.0; + npts = 1; + maxsub = 20; + liinfo = 2*Math.max(maxsub,npts) + npts + 4; + lrinfo = 4*Math.max(maxsub,npts) + npts + 6; + + points = new double[npts]; + rinfo = new double[lrinfo]; + iinfo = new int[liinfo]; + iuser = new int[0]; + ruser = new double[21]; + + points[0] = 1.0/7.0; + iuser = new int[] {0}; + ruser = new double[] {0.0}; + cpuser = 0L; + + D01RL d01rl = new D01RL(); + ifail = -1; + d01rl.eval(f, a, b, npts, points, epsabs, epsrel, maxsub, result, abserr, + rinfo, iinfo, iuser, ruser, cpuser, ifail); + points = d01rl.getPOINTS(); + result = d01rl.getRESULT(); + abserr = d01rl.getABSERR(); + ifail = d01rl.getIFAIL(); + + if (ifail >= 0) { + System.out.println(); + System.out.printf(" A - lower limit of integration = %9.4f\n",a); + System.out.printf(" B - upper limit of integration = %9.4f\n",b); + System.out.printf(" POINT(1) - given break-point = %9.4f\n",points[0]); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); + System.out.println(); + if (ifail <= 5) { + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); + System.out.println(); + } + else if (ifail == -1) { + /* User requested exit */ + System.out.printf(" Exit requested from F"); + System.out.println(); + } + + } + + } + + public static class F implements D01RL.D01RL_F { + + private int NX, IFLAG; + private double[] X, FV, RUSER; + private int[] IUSER; + private long CPUSER; + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setNX(int NX) { + this.NX = NX; + } + + @Override + public int getNX() { + return NX; + } + + @Override + public void setFV(double[] FV) { + this.FV = FV; + } + + @Override + public double[] getFV() { + return FV; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setCPUSER(long CPUSER) { + this.CPUSER = CPUSER; + } + + @Override + public long getCPUSER() { + return CPUSER; + } + + @Override + public void eval(double[] X, int NX, double[] FV, int IFLAG, + int[] IUSER, double[] RUSER, long CPUSER) { + + /*for (int i = 0; i < NX; i++) {*/ + /*FV[i] = 0.0;*/ + /*}*/ + + for (int i = 0; i < NX; i++) { + FV[i] = Math.abs(X[i] - 1.0/7.0); + } + + for (int i = 0; i < NX; i++) { + if (FV[i] == 0.0) { + /* A singular point will be hit. */ + /* Record offending abscissae and abort computation. */ + IFLAG = 0; + for (int k = 0; k < NX; k++) { + if (FV[k] == 0.0) { + IFLAG = IFLAG + 1; + RUSER[IFLAG-1] = X[k]; + } + } + /* Store value of iflag in iuser */ + IUSER[0] = IFLAG; + /* signal abort by setting iflag<0 */ + IFLAG = -IFLAG; + } + } + if (IFLAG == 0) { + /* Safe to evaluate. */ + for (int j = 0; j < NX; j++) { + FV[j] = 1.0/Math.sqrt(FV[j]); + } + } + return; + + } + + } + +} diff --git a/simple_examples/int32/D01RMJE.java b/simple_examples/int32/D01RMJE.java new file mode 100644 index 0000000..6e80b2b --- /dev/null +++ b/simple_examples/int32/D01RMJE.java @@ -0,0 +1,163 @@ +import com.nag.routines.D01.D01RM; +import java.util.Arrays; + +/** + * D01RM example program text. + * @author Mo + */ +public class D01RMJE { + + public static void main(String[] args) { + + double bound, epsabs, epsrel; + double result = Double.NaN; + double abserr = Double.NaN; + double[] rinfo, ruser; + int [] iinfo, iuser; + int ifail, inf, liinfo, lrinfo, maxsub; + long cpuser; // c_ptr + F f = new F(); + + /* Header */ + System.out.println(" D01RMJ Example Program Results"); + + bound = 0.0; + inf = 1; + epsabs = 0.0; + epsrel = 0.0001; + maxsub = 20; + lrinfo = 4*maxsub; + liinfo = Math.max(maxsub,4); + + rinfo = new double[lrinfo]; + iinfo = new int[liinfo]; + iuser = new int[0]; + ruser = new double[0]; + + iuser = new int[] {0}; + ruser = new double[] {0.0}; + cpuser = 0L; + + D01RM d01rm = new D01RM(); + ifail = -1; + d01rm.eval(f, bound, inf, epsabs, epsrel, maxsub, result, abserr, + rinfo, iinfo, iuser, ruser, cpuser, ifail); + result = d01rm.getRESULT(); + abserr = d01rm.getABSERR(); + ifail = d01rm.getIFAIL(); + + if (ifail >= 0) { + System.out.println(); + System.out.printf(" A - lower limit of integration = %9.4f\n",bound); + System.out.println(" B - upper limit of integration = infinity\n"); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); + System.out.println(); + if (ifail <= 5) { + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); + System.out.println(); + } + else if (ifail == -1) { + /* User requested exit */ + System.out.printf(" Exit requested from F \n"); + System.out.println(); + } + + } + + } + + public static class F implements D01RM.D01RM_F { + + private int NX, IFLAG; + private double[] X, FV, RUSER; + private int[] IUSER; + private long CPUSER; + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setNX(int NX) { + this.NX = NX; + } + + @Override + public int getNX() { + return NX; + } + + @Override + public void setFV(double[] FV) { + this.FV = FV; + } + + @Override + public double[] getFV() { + return FV; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setCPUSER(long CPUSER) { + this.CPUSER = CPUSER; + } + + @Override + public long getCPUSER() { + return CPUSER; + } + + @Override + public void eval(double[] X, int NX, double[] FV, int IFLAG, + int[] IUSER, double[] RUSER, long CPUSER) { + + for (int j = 0; j < NX; j++) { + FV[j] = 1.0/((X[j] + 1.0) * Math.sqrt(X[j])); + } + return; + + } + + } + +} diff --git a/simple_examples/int32/D01TCJE.java b/simple_examples/int32/D01TCJE.java new file mode 100644 index 0000000..cde8428 --- /dev/null +++ b/simple_examples/int32/D01TCJE.java @@ -0,0 +1,45 @@ +import com.nag.routines.D01.D01TC; +import java.util.Arrays; + +/** + * D01TC example program text. + * @author Mo + */ +public class D01TCJE { + + public static void main(String[] args) { + + double a, b, c, d; + double[] abscis, weight; + int n, ifail, itype; + + /* Header */ + System.out.println(" D01TCJ Example Program Results"); + + n = 7; + a = 0.0; + b = 1.0; + c = 0.0; + d = 0.0; + itype = -3; + + abscis = new double[n]; + weight = new double[n]; + + D01TC d01tc = new D01TC(); + ifail = 0; + d01tc.eval(itype, a, b, c, d, n, weight, abscis, ifail); + abscis= d01tc.getABSCIS(); + weight = d01tc.getWEIGHT(); + + System.out.println(); + System.out.printf(" Laguerre formula, %2d points\n",n); + System.out.println(); + System.out.println(" Abscissae Weights\n"); + for (int j = 0; j < n; j++) { + System.out.printf("%15.5E %15.5E\n", abscis[j], weight[j]); + } + + } + +} diff --git a/simple_examples/int32/D02NEJE.java b/simple_examples/int32/D02NEJE.java new file mode 100644 index 0000000..34a5b25 --- /dev/null +++ b/simple_examples/int32/D02NEJE.java @@ -0,0 +1,388 @@ +import com.nag.routines.D02.D02MC; +import com.nag.routines.D02.D02MW; +import com.nag.routines.D02.D02NE; +import com.nag.routines.D02.D02NEZ; +import com.nag.routines.D02.D02NP; +import java.util.Arrays; + +/** + * D02NE example program text. + * @author joed + */ +public class D02NEJE { + + public static final double ALPHA = 0.04; + public static final double BETA = 1.0E4; + public static final double GAMMA = 3.0E7; + public static final int ML = 1; + public static final int MU = 2; + public static final int NEQ1 = 3; + public static final int NEQ2 = 1; + + public static JAC1 jac1 = new JAC1(); + public static JAC2 jac2 = new JAC2(); + public static RES1 res1 = new RES1(); + public static RES2 res2 = new RES2(); + + public static void main(String[] args) { + + System.out.println(" D02NEJ Example Program Results"); + + ex1(); + ex2(); + + } + + private static void ex1() { + + D02MC d02mc = new D02MC(); + D02MW d02mw = new D02MW(); + D02NE d02ne = new D02NE(); + D02NP d02np = new D02NP(); + double h0, hmax, t, tout; + int ifail, ijac, itask, itol, lcom, licom, maxord, neq; + String jceval; // length 8 + double[] atol, com, rtol, y, ydot, ruser; + int[] icom, iuser; + + ruser = new double[1]; + iuser = new int[3]; + + System.out.println(); + System.out.println(" D02NEF Example 1"); + System.out.println(); + + maxord = 5; + + neq = NEQ1; + lcom = 40 + (maxord + 4) * neq + (2 * ML + MU + 1) * neq + + 2 * (neq / (ML + MU + 1) + 1); + licom = 50 + neq; + + atol = new double[neq]; + com = new double[lcom]; + rtol = new double[neq]; + y = new double[neq]; + ydot = new double[neq]; + icom = new int[licom]; + + ijac = 1; + itol = 1; + Arrays.fill(rtol, 1.0E-3); + Arrays.fill(atol, 1.0E-6); + Arrays.fill(ydot, 0.0); + + // String length = 8 + jceval = (ijac == 1) ? "Analytic" : "Numeric "; + + // Set initial values + y[0] = 1.0; + y[1] = 0.0; + y[2] = 0.0; + + // Initialize the problem, specifying that the Jacobian is to be + // evaluated analytically using the provided routine jac. + hmax = 0.0; + h0 = 0.0; + t = 0.0; + tout = 0.02; + ifail = 0; + d02mw.eval( + neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail + ); + ifail = d02mw.getIFAIL(); + + // Specify that the Jacobian is banded. + ifail = 0; + d02np.eval(neq, ML, MU, icom, licom, ifail); + ifail = d02np.getIFAIL(); + + // Use the iuser array to pass the band dimensions through to jac. + // An alternative would be to hard code values for ml and mu in jac. + iuser[0] = ML; + iuser[1] = MU; + iuser[2] = ijac; + + System.out.printf(" t "); + for (int i = 1; i <= neq; i++) { + System.out.printf(" Y(%1d) ", i); + } + System.out.println(); + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + itask = 0; + + // Obtain the solution at 5 equally spaced values of T. + for (int j = 0; j < 5; j++) { + ifail = -1; + d02ne.eval( + neq, t, tout, y, ydot, rtol, atol, itask, res1, jac1, icom, + com, lcom, iuser, ruser, ifail + ); + itask = d02ne.getITASK(); + ifail = d02ne.getIFAIL(); + t = d02ne.getT(); + + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + if (ifail != 0) { + System.out.printf( + " ** D02NEF returned with IFAIL = %5d\n", ifail + ); + break; + } + + tout += 0.02; + d02mc.eval(icom); + + } + + System.out.println(); + System.out.printf( + " The integrator completed task, ITASK = %4d\n", itask + ); + + } + + private static void ex2() { + D02MC d02mc = new D02MC(); + D02MW d02mw = new D02MW(); + D02NE d02ne = new D02NE(); + double h0, hmax, t, tout; + int ifail, ijac, itask, itol, lcom, licom, maxord, neq; + String jceval; // length 8 + double[] atol, com, rtol, y, ydot, ruser; + int[] icom, iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println(); + System.out.println(" D02NEF Example 2"); + System.out.println(); + + maxord = 5; + neq = NEQ2; + lcom = 40 + (maxord + 4) * neq + neq * neq; + licom = 50 + neq; + + atol = new double[neq]; + com = new double[lcom]; + rtol = new double[neq]; + y = new double[neq]; + ydot = new double[neq]; + icom = new int[licom]; + + ijac = 1; + itol = 1; + rtol[0] = 0.0; + atol[0] = 1.0E-8; + ydot[0] = 0.0; + + // String length = 8 + jceval = (ijac == 1) ? "Analytic" : "Numeric "; + + // Initialize the problem, specifying that the Jacobian is to be + // evaluated analytically using the provided routine jac. + y[0] = 2.0; + hmax = 0.0; + h0 = 0.0; + t = 0.0; + tout = 0.2; + + ifail = 0; + d02mw.eval( + neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail + ); + ifail = d02mw.getIFAIL(); + + // Use the iuser array to pass whether numerical or analytic Jacobian + // is to be used. + iuser[0] = ijac; + + System.out.printf(" t "); + for (int i = 1; i <= neq; i++) { + System.out.printf(" y(%1d) ", i); + } + System.out.println(); + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + itask = 0; + + for (int j = 0; j < 5; j++) { + ifail = -1; + d02ne.eval( + neq, t, tout, y, ydot, rtol, atol, itask, res2, jac2, icom, + com, lcom, iuser, ruser, ifail + ); + itask = d02ne.getITASK(); + ifail = d02ne.getIFAIL(); + t = d02ne.getT(); + + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + if (ifail != 0) { + System.out.printf( + " ** D02NEF returned with IFAIL = %5d\n", ifail + ); + break; + } + + tout += 0.2; + d02mc.eval(icom); + + } + + System.out.println(); + System.out.printf( + " The integrator completed task, ITASK = %4d\n", itask + ); + + } + + /** + * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based + * Java index. + * + *

    Fortran array definition: + * a(dimX, *) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + + public static class RES1 extends D02NE.Abstract_D02NE_RES { + + public void eval() { + + this.R[0] = -(ALPHA * this.Y[0]) + (BETA * this.Y[1] * this.Y[2]) + - this.YDOT[0]; + this.R[1] = (ALPHA * this.Y[0]) - (BETA * this.Y[1] * this.Y[2]) + - (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[1]; + this.R[2] = (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[2]; + + } + + } + + public static class JAC1 extends D02NE.Abstract_D02NE_JAC { + + private double[] myjac1( + int neq, int ml, int mu, double t, double[] y, double[] ydot, + double[] pd, double cj + ) { + + int md, ms, pdDim1; + + pdDim1 = (2 * ml) + mu + 1; + + // Main diagonal pdfull(i,i), i=1, neq + md = mu + ml + 1; + pd[getIdx(md, 1, pdDim1)] = -ALPHA - cj; + pd[getIdx(md, 2, pdDim1)] = (-BETA * y[2]) - (2.0 * GAMMA * y[1]) + - cj; + pd[getIdx(md, 3, pdDim1)] = -cj; + + // 1 subdiagonal pdfull(i-1,i), i=2, neq + ms = md + 1; + pd[getIdx(ms, 1, pdDim1)] = ALPHA; + pd[getIdx(ms, 2, pdDim1)] = 2.0 * GAMMA * y[1]; + + // First superdiagonal pdfull(i-1,i), i=2, neq + ms = md - 1; + pd[getIdx(ms, 2, pdDim1)] = BETA * y[2]; + pd[getIdx(ms, 3, pdDim1)] = -BETA * y[1]; + + // Second superdiagonal pdfull(i-2,i), i=3, neq + ms = md - 2; + pd[getIdx(ms, 3, pdDim1)] = BETA * y[1]; + + return pd; + + } + + public void eval() { + D02NEZ d02nez = new D02NEZ(); + int ijac, ml, mu; + + ml = this.IUSER[0]; + mu = this.IUSER[1]; + ijac = this.IUSER[2]; + + if (ijac == 1) { + myjac1( + this.NEQ, ml, mu, this.T, this.Y, this.YDOT, this.PD, + this.CJ + ); + } + else { + d02nez.eval( + this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, + this.IUSER, this.RUSER + ); + } + + } + + } + + public static class RES2 extends D02NE.Abstract_D02NE_RES { + + public void eval() { + this.R[0] = 4.0 - Math.pow(this.Y[0], 2.0) + + (this.T * 0.1E0 * Math.exp(this.Y[0])); + } + + } + + public static class JAC2 extends D02NE.Abstract_D02NE_JAC { + + private void myjac2( + int neq, double t, double[] y, double[] ydot, double[] pd, + double cj + ) { + + pd[0] = -(2.0 * y[0]) + (0.1E0 * t * y[0] * Math.exp(y[0])); + + } + + public void eval() { + D02NEZ d02nez = new D02NEZ(); + int ijac; + + ijac = this.IUSER[0]; + + if (ijac == 1) { + myjac2(this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ); + } + else { + d02nez.eval( + this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, + this.IUSER, this.RUSER + ); + } + + } + + } + +} diff --git a/simple_examples/int32/D02TLJE.java b/simple_examples/int32/D02TLJE.java new file mode 100644 index 0000000..601b3ce --- /dev/null +++ b/simple_examples/int32/D02TLJE.java @@ -0,0 +1,290 @@ +import com.nag.routines.D02.D02TL; +import com.nag.routines.D02.D02TV; +import com.nag.routines.D02.D02TX; +import com.nag.routines.D02.D02TY; +import com.nag.routines.D02.D02TZ; +import java.util.Arrays; + +/** + * D02TL example program text. + * @author joed + */ +public class D02TLJE { + + public static final int MMAX = 3, NEQ = 3, NLBC = 3, NRBC = 3; + + public static double omega, sqrofr; + public static int[] m = {1, 3, 2}; + + public static FFUN ffun = new FFUN(); + public static FJAC fjac = new FJAC(); + public static GAFUN gafun = new GAFUN(); + public static GAJAC gajac = new GAJAC(); + public static GBFUN gbfun = new GBFUN(); + public static GBJAC gbjac = new GBJAC(); + public static GUESS guess = new GUESS(); + + public static void main(String[] args) { + + D02TL d02tl = new D02TL(); + D02TV d02tv = new D02TV(); + D02TX d02tx = new D02TX(); + D02TY d02ty = new D02TY(); + D02TZ d02tz = new D02TZ(); + double dx, ermx, r; + int iermx, ifail, ijermx, licomm, lrcomm, mxmesh, ncol, ncont, + nmesh; + double[] mesh, rcomm, tol, y, ruser = new double[1]; + int[] icomm, ipmesh, iuser = new int[2]; + + System.out.println(" D02TLJ Example Program Results"); + System.out.println(); + + ncol = 7; + nmesh = 11; + mxmesh = 51; + + mesh = new double[mxmesh]; + tol = new double[NEQ]; + y = new double[NEQ * MMAX]; + ipmesh = new int[mxmesh]; + + omega = 1.0; + Arrays.fill(tol, 1.0E-4); + + dx = 1.0 / ((double) nmesh - 1); + + mesh[0] = 0.0; + for (int i = 1; i < nmesh - 1; i++) { + mesh[i] = mesh[i - 1] + dx; + } + mesh[nmesh - 1] = 1.0; + + ipmesh[0] = 1; + Arrays.fill(ipmesh, 1, nmesh - 1, 2); + ipmesh[nmesh - 1] = 1; + + // Workspace query to get size of rcomm and icomm + ifail = 0; + d02tv.eval( + NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, ruser, + 0, iuser, 2, ifail + ); + ifail = d02tv.getIFAIL(); + lrcomm = iuser[0]; + licomm = iuser[1]; + rcomm = new double[lrcomm]; + icomm = new int[licomm]; + + // Initialise integrator for given problem + ifail = 0; + d02tv.eval( + NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, rcomm, + lrcomm, icomm, licomm, ifail + ); + ifail = d02tv.getIFAIL(); + + ncont = 3; + r = 1.0E6; + + sqrofr = Math.sqrt(r); + + ermx = 0.0; + iermx = 0; + ijermx = 0; + + for (int j = 0; j < ncont; j++) { + System.out.printf("\n Tolerance = %8.1E R = %10.3E\n", tol[0], r); + + // Solve problem + ifail = -1; + d02tl.eval( + ffun, fjac, gafun, gbfun, gajac, gbjac, guess, rcomm, icomm, + iuser, ruser, ifail + ); + ifail = d02tl.getIFAIL(); + if (ifail != 0) { + System.err.println("D02TL failed with error code " + ifail); + } + + // Extract mesh + ifail = -1; + d02tz.eval( + mxmesh, nmesh, mesh, ipmesh, ermx, iermx, ijermx, rcomm, icomm, + ifail + ); + nmesh = d02tz.getNMESH(); + iermx = d02tz.getIERMX(); + ijermx = d02tz.getIJERMX(); + ermx = d02tz.getERMX(); + ifail = d02tz.getIFAIL(); + if (ifail == 1) { + break; + } + + // Print mesh, error stats + System.out.printf( + "\n" + + " Used a mesh of %4d points\n" + + " Maximum error = %10.2E in interval %4d for component %4d\n" + + "\n", + nmesh, ermx, iermx, ijermx + ); + System.out.printf("\n Mesh points:\n"); + for (int i = 0; i < nmesh; i++) { + System.out.printf("%4d(%1d)%10.3E", i+1, ipmesh[i], mesh[i]); + if ((i+1) % 4 == 0) { + System.out.printf("\n"); + } + } + System.out.printf("\n"); + + // Print solution components on mesh + System.out.printf("\n x f f\' g\n"); + for (int i = 0; i < nmesh; i++) { + ifail = 0; + d02ty.eval(mesh[i], y, NEQ, MMAX, rcomm, icomm, ifail); + ifail = d02ty.getIFAIL(); + System.out.printf( + " %8.3f %9.4f%9.4f%9.4f\n", mesh[i], y[getIdx(1, 0, NEQ)], + y[getIdx(2, 0, NEQ)], y[getIdx(3, 0, NEQ)] + ); + } + + if (j == ncont - 1) { + break; + } + + // Modify continuation parameter + r = 100.0 * r; + sqrofr = Math.sqrt(r); + + // Select mesh for continuation + Arrays.fill(ipmesh, 1, nmesh - 1, 2); + + // Call continuation primer routine + ifail = 0; + d02tx.eval(mxmesh, nmesh, mesh, ipmesh, rcomm, icomm, ifail); + mxmesh = d02tx.getMXMESH(); + nmesh = d02tx.getNMESH(); + ifail = d02tx.getIFAIL(); + + } + + } + + /** + * Converts a 2D Fortran index to the 1D index for its corresponding Java + * array. Assumes y is already zero-based. + * + *

    Fortran array definition: + * a(dimX, 0:*) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return (y * dimX) + (x-1); + } + + /** + * Converts a 3D Fortran index to the 1D index for its corresponding Java + * array. Assumes z is already zero-based. + * + *

    Fortran array definition: + * a(dimX, dimY, 0:*) + * + *

    Conversion: + * a(x, y, z) --> A[result] + */ + private static int getIdx(int x, int y, int z, int dimX, int dimY) { + return (z * dimY * dimX) + ((y-1) * dimX) + (x-1); + } + + public static class FFUN extends D02TL.Abstract_D02TL_FFUN { + + public void eval() { + F[0] = Y[getIdx(2, 0, NEQ)]; + F[1] = -((Y[getIdx(1, 0, NEQ)] * Y[getIdx(2, 2, NEQ)]) + + (Y[getIdx(3, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; + F[2] = ((Y[getIdx(2, 0, NEQ)] * Y[getIdx(3, 0, NEQ)]) + - (Y[getIdx(1, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; + } + + } + + public static class FJAC extends D02TL.Abstract_D02TL_FJAC { + + public void eval() { + DFDY[getIdx(1, 2, 0, NEQ, NEQ)] = 1.0; + DFDY[getIdx(2, 1, 0, NEQ, NEQ)] = -Y[getIdx(2, 2, NEQ)] * sqrofr; + DFDY[getIdx(2, 2, 2, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; + DFDY[getIdx(2, 3, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; + DFDY[getIdx(2, 3, 1, NEQ, NEQ)] = -Y[getIdx(3, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 1, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; + DFDY[getIdx(3, 2, 0, NEQ, NEQ)] = Y[getIdx(3, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 3, 0, NEQ, NEQ)] = Y[getIdx(2, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 3, 1, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; + } + + } + + public static class GAFUN extends D02TL.Abstract_D02TL_GAFUN { + + public void eval() { + GA[0] = YA[getIdx(1, 0, NEQ)]; + GA[1] = YA[getIdx(2, 0, NEQ)]; + GA[2] = YA[getIdx(3, 0, NEQ)] - omega; + } + + } + + public static class GBFUN extends D02TL.Abstract_D02TL_GBFUN { + + public void eval() { + GB[0] = YB[getIdx(1, 0, NEQ)]; + GB[1] = YB[getIdx(2, 0, NEQ)]; + GB[2] = YB[getIdx(3, 0, NEQ)] + omega; + } + + } + + public static class GAJAC extends D02TL.Abstract_D02TL_GAJAC { + + public void eval() { + DGADY[getIdx(1, 1, 0, NLBC, NEQ)] = 1.0; + DGADY[getIdx(2, 2, 0, NLBC, NEQ)] = 1.0; + DGADY[getIdx(3, 3, 0, NLBC, NEQ)] = 1.0; + } + + } + + public static class GBJAC extends D02TL.Abstract_D02TL_GBJAC { + + public void eval() { + DGBDY[getIdx(1, 1, 0, NRBC, NEQ)] = 1.0; + DGBDY[getIdx(2, 2, 0, NRBC, NEQ)] = 1.0; + DGBDY[getIdx(3, 3, 0, NRBC, NEQ)] = 1.0; + } + + } + + public static class GUESS extends D02TL.Abstract_D02TL_GUESS { + + public void eval() { + Y[getIdx(1, 0, NEQ)] = -(X - 0.5) * Math.pow(X * (X - 1.0), 2.0); + Y[getIdx(2, 0, NEQ)] = -X * (X - 1.0) + * (5.0 * X * (X - 1.0) + 1.0); + Y[getIdx(2, 1, NEQ)] = -(2.0 * X - 1.0) + * (10.0 * X * (X - 1.0) + 1.0); + Y[getIdx(2, 2, NEQ)] = -12.0 * (5.0 * X * (X - 1.0) + 1.0); + Y[getIdx(3, 0, NEQ)] = -8.0 * omega * Math.pow(X - 0.5, 3.0); + Y[getIdx(3, 1, NEQ)] = -24.0 * omega * Math.pow(X - 0.5, 2.0); + DYM[0] = Y[getIdx(2, 0, NEQ)]; + DYM[1] = -120.0 * (X - 0.5); + DYM[2] = -56.0 * omega * (X - 0.5); + } + + } + +} diff --git a/simple_examples/int32/D03PCJE.java b/simple_examples/int32/D03PCJE.java new file mode 100644 index 0000000..4901e2e --- /dev/null +++ b/simple_examples/int32/D03PCJE.java @@ -0,0 +1,217 @@ +import com.nag.routines.D03.D03PC; +import com.nag.routines.D03.D03PZ; +import com.nag.routines.X01.X01AA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.lang.StringBuilder; + +/** + * D03PCJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class D03PCJE{ + + /** + * D03PCJE main program + */ + public static void main(String[] args){ + int ifail, ind, intpts = 0, it, itask, itrace = 0, itype = 0, lisave, lrsave, m = 0, neqn, npts = 0, nwk, npde = 2; + double hx, pi, piby2, tout = 0, ts = 0, acc = 0, alpha = 0; + int[] isave, iuser, iwsav; + double[] rsave, u, uout, x, xout, ruser, rwsav; + boolean[] lwsav; + String[] cwsav; + + xout = new double[0]; // placeholders + ruser = new double[1]; + rwsav = new double[1100]; + iuser = new int[1]; + iwsav = new int[505]; + lwsav = new boolean[100]; + cwsav = new String[10]; + + System.out.println("D03PCJ Example Program Results"); + + //Specify path to data file + if(args.length != 1){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + intpts = Integer.parseInt(sVal[0]); + npts = Integer.parseInt(sVal[1]); + itype = Integer.parseInt(sVal[2]); + + xout = new double[intpts]; + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int i = 0; i < intpts; i++){ + xout[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.split("\\s+"); + acc = Double.parseDouble(sVal[0]); + alpha = Double.parseDouble(sVal[1]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + m = Integer.parseInt(sVal[0]); + itrace = Integer.parseInt(sVal[1]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + ts = Double.parseDouble(sVal[0]); + tout = Double.parseDouble(sVal[1]); + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + neqn = npde * npts; + lisave = neqn + 24; + nwk = (10 + (6 * npde)) * neqn; + lrsave = nwk + ((21 + (3 * npde)) * npde) + (7 * npts) + 54; + + rsave = new double[lrsave]; + u = new double[npde * npts]; + uout = new double[npde * intpts * itype]; + x = new double[npts]; + isave = new int[lisave]; + ruser[0] = alpha; + ind = 0; + itask = 1; + + X01AA x01aa = new X01AA(); + pi = x01aa.eval(); + piby2 = 0.5 * pi; + hx = piby2/(double)(npts - 1); + x[0] = 0.0; + x[npts - 1] = 1.0; + for(int i = 1; i < (npts - 1); i++){ + x[i] = Math.sin(hx * (double)(i)); + } + + u = uinit(x, npts, iuser, ruser); + + //Character (80) :: cwsav(10) + //Surely a better way of doing this? + for(int i = 0; i < 10; i++){ + StringBuilder builder = new StringBuilder(""); + for(int j = 0; j < 80; j++){ + builder.append(" "); + } + cwsav[i] = builder.toString(); + } + + for(int i = 0; i <5; i++){ + tout = 10 * tout; + + ifail = 0; + pdedef pdedef1 = new pdedef(); + bndary bndary1 = new bndary(); + D03PC d03pc = new D03PC(npde, m, ts, tout, pdedef1, bndary1, u, npts, x, acc, rsave, lrsave, + isave, lisave, itask, itrace, ind, iuser, ruser, cwsav, lwsav, iwsav, + rwsav, ifail); + d03pc.eval(); + + //update ind + ind = d03pc.getIND(); + + if(i == 0){ + System.out.printf("Accuracy requirement = \t%.5e\n Parameter ALPHA = \t%.3e\n", acc, alpha); + System.out.printf("T / X "); + for(int j = 0; j < xout.length; j++){ + System.out.printf("\t%.4f", xout[j]); + } + System.out.printf("\n"); + } + System.out.println(); + + //Interpolate at required spatial points + ifail = 0; + + D03PZ d03pz = new D03PZ(npde, m, u, npts, x, xout, intpts, itype, uout, ifail); + d03pz.eval(); + + System.out.printf("%.4f \tU(1)", tout); + for(int j = 0; j < intpts; j++){ + System.out.printf("\t%.4f ", uout[j * 2]); + } + System.out.printf("\n"); + System.out.printf("\tU(2)"); + for(int j = 0; j < intpts; j++){ + System.out.printf("\t%.4f ", uout[j * 2 + 1]); + } + System.out.printf("\n"); + System.out.println(); + } + + System.out.printf("Number of Integration steps in time\t\t\t%d\n", isave[0]); + System.out.printf("Number of residual evaluations of resulting ODE system\t%d\n", isave[1]); + System.out.printf("Number of Jacobian evaluations\t\t\t\t%d\n", isave[2]); + System.out.printf("Number of iterations of nonlinear solver\t\t%d\n", isave[4]); + } + + /** + * PDE initial condition + */ + public static double[] uinit(double[] x, int npts, int[] iuser, double[] ruser){ + double alpha = ruser[0]; + double[] u = new double[2 * npts]; + for(int i = 0; i < npts; i++){ + u[2 * i] = 2 * alpha * x[i]; + u[(2 * i) + 1] = 1; + } + return u; + } + + public static class pdedef extends D03PC.Abstract_D03PC_PDEDEF{ + public void eval(){ + double alpha = this.RUSER[0]; + this.Q[0] = 4 * alpha * (this.U[1] + (this.X * this.UX[1])); + this.Q[1] = 0; + this.R[0] = this.X * this.UX[0]; + this.R[1] = this.UX[1] - (this.U[0] * this.U[1]); + this.P[0] = 0; + this.P[1] = 0; + this.P[2] = 0; + this.P[3] = 1 - (this.X * this.X); + } + } + + public static class bndary extends D03PC.Abstract_D03PC_BNDARY{ + public void eval(){ + if(this.IBND == 0){ + this.BETA[0] = 0; + this.BETA[1] = 1; + this.GAMMA[0] = this.U[0]; + this.GAMMA[1] = -this.U[0] * this.U[1]; + } + else{ + this.BETA[0] = 1; + this.BETA[1] = 0; + this.GAMMA[0] = -this.U[0]; + this.GAMMA[1] = this.U[1]; + } + } + } + +} + + + diff --git a/simple_examples/int32/D03RAJE.java b/simple_examples/int32/D03RAJE.java new file mode 100644 index 0000000..88d49aa --- /dev/null +++ b/simple_examples/int32/D03RAJE.java @@ -0,0 +1,307 @@ +import com.nag.routines.D03.D03RA; +import com.nag.routines.D03.D03RA.D03RA_BNDARY; +import com.nag.routines.D03.D03RA.D03RA_MONITR; +import com.nag.routines.X01.X01AA; +import com.nag.routines.X02.X02AJ; +import java.util.Arrays; + +/** + * D03RA example program text. + * @author joed + */ +public class D03RAJE { + + public static final double ALPHA = 50.0; + public static final double BETA = 300.0; + public static final double XMAX = 1.0; + public static final double XMIN = 0.0; + public static final double YMAX = 1.0; + public static final double YMIN = 0.0; + public static final int ITRACE = 0; + public static final int NPDE = 1; + + public static D03RA d03ra = new D03RA(); + public static PDEDEF pdedef = new PDEDEF(); + public static BNDRY bndry = new BNDRY(); + public static PDEIV pdeiv = new PDEIV(); + public static MONIT monit = new MONIT(); + public static MONITDUMMY monitDummy = new MONITDUMMY(); + + public static void main(String[] args) { + double tols, tolt, tout, ts; + int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, npde, npts, nx, ny; + double[] dt, twant, optr, rwk; + int[] wklens, iwk, opti = new int[4]; + boolean[] lwk; + + // Run examples + System.out.println(" D03RAJ Example Program Results"); + System.out.println(); + + npts = 2000; + npde = NPDE; + + dt = new double[] {0.1e-2, 0.0, 0.0}; + twant = new double[] {0.24, 0.25}; + ts = 0.0; + + ind = 10; + nx = 41; + ny = 41; + tols = 0.5; + tolt = 0.01; + Arrays.fill(opti, 0); + opti[0] = 6; + maxlev = Math.max(opti[0], 3); + + wklens = computeWkspaceLens(maxlev, npde, npts); + lenrwk = wklens[0]; + leniwk = wklens[1]; + lenlwk = wklens[2]; + rwk = new double[lenrwk]; + iwk = new int[leniwk]; + lwk = new boolean[lenlwk]; + + optr = new double[3 * npde]; + Arrays.fill(optr, 1.0); + + for (int i = 0; i < 2; i++) { + tout = twant[i]; + ifail = 0; + if (i == 0) { + // Dummy monitor used to avoid output on first call + d03ra.eval( + npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, + tolt, pdedef, bndry, pdeiv, monitDummy, opti, optr, + rwk, lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail + ); + } + else { + d03ra.eval( + npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, + tolt, pdedef, bndry, pdeiv, monit, opti, optr, rwk, + lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail + ); + } + + ind = d03ra.getIND(); + ifail = d03ra.getIFAIL(); + ts = d03ra.getTS(); + + printStatistics(ts, iwk, maxlev); + + } + + } + + public static class PDEIV extends D03RA.Abstract_D03RA_PDEIV { + + public void eval() { + Arrays.fill(this.U, 1.0); + } + + } + + public static class PDEDEF extends D03RA.Abstract_D03RA_PDEDEF { + + private static final double ACTIV_ENERGY = 20.0; + private static final double DIFFUSION = 0.1; + private static final double HEAT_RELEASE = 1.0; + private static final double REACTION_RATE = 5.0; + + public void eval() { + + double damkohler; + + damkohler = REACTION_RATE * Math.exp(ACTIV_ENERGY) + / (HEAT_RELEASE * ACTIV_ENERGY); + + for (int col = 0; col < this.NPDE; col++) { + for (int row = 0; row < this.NPTS; row++) { + int idx = (col * this.NPTS) + row; + this.RES[idx] = this.UT[idx] + - (DIFFUSION * (this.UXX[idx] + this.UYY[idx])) + - (damkohler + * (1.0e0 + HEAT_RELEASE - this.U[idx]) + * Math.exp(-ACTIV_ENERGY / this.U[idx])); + } + } + + } + + } + + public static class BNDRY extends D03RA.Abstract_D03RA_BNDARY { + + public void eval() { + X02AJ x02aj = new X02AJ(); + double tol; + + // X02AJ returns machine precision + tol = 10.0 * x02aj.eval(); + + for (int i = 0; i < this.NBPTS; i++) { + int j = this.LBND[i] - 1; + + if (Math.abs(this.X[j]) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.UX[idx]; + } + } + else if (Math.abs(this.X[j] - 1.0) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.U[idx] - 1.0; + } + } + else if (Math.abs(this.Y[j]) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.UY[idx]; + } + } + else if (Math.abs(this.Y[j] - 1.0) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.U[idx] - 1.0; + } + } + } + + } + + } + + public static class MONIT extends D03RA.Abstract_D03RA_MONITR { + + public void eval() { + int ipsol, k, level, npts; + + if (TLAST) { + // Print solution + level = this.NLEV - 1; + npts = this.NGPTS[level]; + ipsol = this.LSOL[level]; + k = 0; + for (int i = 0; i < level; i++) { + k += this.NGPTS[i]; + } + + System.out.printf( + " Solution at every 4th grid point in level%10d" + + " at time %8.4f:%n%n", this.NLEV, this.T + ); + System.out.println( + " x y approx u\n" + ); + for (int i = 0; i < npts; i += 4) { + double ix = this.XPTS[k + i]; + double iy = this.YPTS[k + i]; + double isol = this.SOL[ipsol + i]; + System.out.printf( + " %11.4E %11.3E %11.3E%n", + ix, iy, isol + ); + } + System.out.println(); + + } + + } + + } + + public static class MONITDUMMY extends D03RA.Abstract_D03RA_MONITR { + + public void eval() { + return; + } + + } + + public static int[] computeWkspaceLens(int maxlev, int npde, int maxpts) { + int lenrwk, leniwk, lenlwk; + + lenrwk = (2 * maxpts * npde * ((5 * maxlev) + (18 * npde) + 9)) + + (2 * maxpts); + leniwk = (2 * maxpts * (14 + (5 * maxlev))) + + (7 * maxlev) + 2; + lenlwk = (2 * maxpts) + 400; + + return new int[] {lenrwk, leniwk, lenlwk}; + + } + + public static void printStatistics(double ts, int[] iwk, int maxlev) { + int[] istats = new int[4]; + + System.out.printf(" Statistics:%n"); + System.out.printf(" Time = %8.4f%n", ts); + System.out.printf( + " Total number of accepted timesteps =%5d%n", iwk[0] + ); + System.out.printf( + " Total number of rejected timesteps =%5d%n", iwk[1] + ); + System.out.printf( + "%n" + + " Total number (rounded) of%n" + + " Residual Jacobian Newton Lin sys%n" + + " evals evals iters iters%n" + + " At level %n" + ); + + for (int j = 0; j < maxlev; j++) { + if (iwk[j + 2] != 0) { + int idx = 0; + for (int i = j+2; i <= j+2+(3*maxlev); i += maxlev) { + istats[idx++] = iwk[i]; + } + istats = roundStatisics(istats); + System.out.printf("%8d", j + 1); + for (int i = 0; i < 4; i++) { + System.out.printf("%10d", istats[i]); + } + System.out.printf("%n"); + } + } + + System.out.printf( + "%n" + + " Maximum number of %n" + + " Newton iters Lin sys iters %n" + + " At level %n" + ); + + for (int j = 0; j < maxlev; j++) { + if (iwk[j+2] != 0) { + System.out.printf("%8d", j+1); + System.out.printf("%14d", iwk[j+2+(4*maxlev)]); + System.out.printf("%14d", iwk[j+2+(5*maxlev)]); + System.out.printf("%n"); + } + } + System.out.println(); + + } + + public static int[] roundStatisics(int[] istat) { + double lt; + int k; + + lt = Math.log(10.0); + for (int i = 0; i < istat.length; i++) { + // istat = 0 leads to div by 0 error, doesn't need rounding anyway + if (istat[i] != 0) { + k = (int) (Math.log((double) istat[i]) / lt); + k = (int) Math.pow(10, k); + istat[i] = k * ((istat[i] + k/2)/k); + } + } + + return istat; + + } + +} diff --git a/simple_examples/int32/D03RBJE.java b/simple_examples/int32/D03RBJE.java new file mode 100644 index 0000000..9b1b482 --- /dev/null +++ b/simple_examples/int32/D03RBJE.java @@ -0,0 +1,388 @@ +import com.nag.routines.D03.D03RB; +import com.nag.routines.D03.D03RZ; +import java.util.Arrays; + +/** + * D03RB example program text. + * @author joed + */ +public class D03RBJE { + + public static final int ITRACE = -1; + public static final int NPDE = 2; + public static final double[] TWANT = {0.25, 1.0}; + + public static boolean do_monitr; + public static int print_stats = 0; + + public static BNDARY bndary = new BNDARY(); + public static INIDOM inidom = new INIDOM(); + public static MONITR monitr = new MONITR(); + public static PDEDEF pdedef = new PDEDEF(); + public static PDEIV pdeiv = new PDEIV(); + + public static void main(String[] args) { + D03RB d03rb = new D03RB(); + double tols, tolt, tout, ts; + int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, mxlev, npts; + boolean[] lwk; + double[] optr, rwk, dt = new double[3]; + int[] iwk, opti = new int[4]; + + System.out.println(" D03RBJ Example Program Results"); + + npts = 3000; + mxlev = 7; + + leniwk = 10 * npts * (5 * mxlev + 14) + 2 + 7 * mxlev; + lenlwk = 20 * npts; + lenrwk = 20 * (npts * NPDE * (5 * mxlev + 9 + 18 * NPDE) + 2 * npts); + + rwk = new double[lenrwk]; + iwk = new int[leniwk]; + lwk = new boolean[lenlwk]; + optr = new double[3 * NPDE]; + + // Specify that we are starting the integration in time + // (ind = 0 normally). + ind = 10; + + ts = 0.0; + dt[0] = 0.001; + dt[1] = 1.0E-7; + dt[2] = 0.0; + tols = 0.1; + tolt = 0.05; + opti[0] = mxlev; + maxlev = opti[0]; + Arrays.fill(opti, 1, 4, 0); + Arrays.fill(optr, 1.0); + + // Call main routine + for (int iout = 1; iout <= 2; iout++) { + do_monitr = (iout == 2); + tout = TWANT[iout - 1]; + + ifail = 0; + d03rb.eval( + NPDE, ts, tout, dt, tols, tolt, inidom, pdedef, bndary, pdeiv, + monitr, opti, optr, rwk, lenrwk, iwk, leniwk, lwk, lenlwk, + ITRACE, ind, ifail + ); + ind = d03rb.getIND(); + ifail = d03rb.getIFAIL(); + ts = d03rb.getTS(); + + if (print_stats != 0) { + System.out.printf(" Statistics:\n"); + System.out.printf(" Time = %8.4f\n", ts); + System.out.printf( + " Total number of accepted timesteps =%5d\n", iwk[0] + ); + System.out.printf( + " Total number of rejected timesteps =%5d\n", iwk[1] + ); + System.out.println( + " Total number of " + + " maximum number of " + ); + System.out.println( + " Residual Jacobian Newton Newton " + ); + System.out.println( + " evals evals iters iters " + ); + System.out.println(" Level "); + + maxlev = opti[0]; + for (int j = 0; j < maxlev; j++) { + if (iwk[j+2] != 0) { + System.out.printf( + "%4d%10d%10d%10d%10d\n", + j+1, + iwk[j + 2 + 0*maxlev], + iwk[j + 2 + 1*maxlev], + iwk[j + 2 + 2*maxlev], + iwk[j + 2 + 4*maxlev] + ); + } + } + System.out.println(); + + } + + } + + } + + public static class PDEIV extends D03RB.Abstract_D03RB_PDEIV { + + public void eval(int NPTS, int NPDE, double T, double[] X, double[] Y, double[] U) { + this.setNPTS(NPTS); + this.setNPDE(NPDE); + this.setT(T); + this.setX(X); + this.setY(Y); + this.setU(U); + this.eval(); + } + + public void eval() { + double eps = 0.001, a; + + for (int i = 1; i <= this.NPTS; i++) { + a = (4.0 * (this.Y[i-1] - this.X[i-1]) - this.T) / (32.0 * eps); + if (a <= 0.0) { + this.U[getIdx(i, 1, this.NPTS)] + = 0.75 - 0.25 / (1.0 + Math.exp(a)); + this.U[getIdx(i, 2, this.NPTS)] + = 0.75 + 0.25 / (1.0 + Math.exp(a)); + } + else { + a = -a; + this.U[getIdx(i, 1, this.NPTS)] + = 0.75 - 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); + this.U[getIdx(i, 2, this.NPTS)] + = 0.75 + 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); + } + } + + } + + } + + public static class INIDOM extends D03RB.Abstract_D03RB_INIDOM { + + public void eval() { + int ifail, leniwk; + int[] icold, ilbndd, irowd, lbndd, llbndd, lrowd; + int[] iwk = new int[122]; + String[] pgrid = new String[11]; + + for (int i = 0; i < 11; i++) { + pgrid[i] = " "; + } + + icold = new int[]{ + 0,1,2,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5, + 6,7,8,9,10,0,1,2,3,4,5,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4, + 5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,0,1,2,3,4, + 5,6,7,8,0,1,2,3,4,5,6,7,8 + }; + + ilbndd = new int[]{ + 1,2,3,4,1,4,1,2,3,4,3,4,1,2,12,23,34,41,14,41,12,23,34,41,43,14, + 21,32 + }; + + irowd = new int[]{0,1,2,3,4,5,6,7,8,9,10}; + + lbndd = new int[]{ + 2,4,15,26,37,46,57,68,79,88,98,99,100,101,102,103,104,96,86,85, + 84,83,82,70,59,48,39,28,17,6,8,9,10,11,12,13,18,29,40,49,60,72, + 73,74,75,76,77,67,56,45,36,25,33,32,42,52,53,43,1,97,105,87,81, + 3,7,71,78,14,31,51,54,34 + }; + + llbndd = new int[]{ + 1,2,11,18,19,24,31,37,42,48,53,55,56,58,59,60,61,62,63,64,65,66, + 67,68,69,70,71,72 + }; + + lrowd = new int[]{1,4,15,26,37,46,57,68,79,88,97}; + + this.NX = 11; + this.NY = 11; + + // Check MAXPTS against rough estimate of NPTS. + this.NPTS = this.NX * this.NY; + if (this.MAXPTS < this.NPTS) { + this.IERR = -1; + return; + } + + this.XMIN = 0.0; + this.YMIN = 0.0; + this.XMAX = 1.0; + this.YMAX = 1.0; + + this.NROWS = 11; + this.NPTS = 105; + this.NBNDS = 28; + this.NBPTS = 72; + + for (int i = 0; i < this.NROWS; i++) { + this.LROW[i] = lrowd[i]; + this.IROW[i] = irowd[i]; + } + + for (int i = 0; i < this.NBNDS; i++) { + this.LLBND[i] = llbndd[i]; + this.ILBND[i] = ilbndd[i]; + } + + for (int i = 0; i < this.NBPTS; i++) { + this.LBND[i] = lbndd[i]; + } + + for (int i = 0; i < this.NPTS; i++) { + this.ICOL[i] = icold[i]; + } + + } + + } + + public static class PDEDEF extends D03RB.Abstract_D03RB_PDEDEF { + + public void eval() { + + double eps = 1E-3; + int n = this.NPTS; // For concise getIdx calls + + for (int i = 1; i <= n; i++) { + this.RES[getIdx(i, 1, n)] + = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 1, n)] + - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 1, n)] + + eps * (this.UXX[getIdx(i, 1, n)] + + this.UYY[getIdx(i, 1, n)]); + this.RES[getIdx(i, 2, n)] + = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 2, n)] + - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 2, n)] + + eps * (this.UXX[getIdx(i, 2, n)] + + this.UYY[getIdx(i, 2, n)]); + this.RES[getIdx(i, 1, n)] + = this.UT[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; + this.RES[getIdx(i, 2, n)] + = this.UT[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; + } + + } + + } + + public static class BNDARY extends D03RB.Abstract_D03RB_BNDARY { + + public void eval() { + + double a, eps = 1E-3; + int i, n = this.NPTS; + + for (int k = this.LLBND[0]; k <= this.NBPTS; k++) { + i = this.LBND[k - 1]; + a = (-4.0 * this.X[i - 1] + 4.0 * this.Y[i - 1] - this.T) + / (32.0 * eps); + + if (a <= 0.0) { + this.RES[getIdx(i, 1, n)] + = 0.75 - 0.25 / (1.0 + Math.exp(a)); + this.RES[getIdx(i, 2, n)] + = 0.75 + 0.25 / (1.0 + Math.exp(a)); + } + else { + a = -a; + this.RES[getIdx(i, 1, n)] + = 0.75 - (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); + this.RES[getIdx(i, 2, n)] + = 0.75 + (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); + } + + this.RES[getIdx(i, 1, n)] + = this.U[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; + this.RES[getIdx(i, 2, n)] + = this.U[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; + + } + + } + + } + + public static class MONITR extends D03RB.Abstract_D03RB_MONITR { + + public void eval() { + + D03RZ d03rz = new D03RZ(); + double aprxU, exctU, aprxV, exctV; + int maxpts = 6000; + int ifail, ipsol, npts; + double[] uex = new double[105*2], x = new double[maxpts], + y = new double[maxpts]; + + for (int level = 0; level < this.NLEV; level++) { + + if (!this.TLAST) { + break; + } + + ipsol = this.LSOL[level]; + + // Get grid information + ifail = -1; + npts = 0; + d03rz.eval( + level + 1, this.NLEV, this.XMIN, this.YMIN, this.DXB, + this.DYB, this.LGRID, this.ISTRUC, npts, x, y, maxpts, + ifail + ); + ifail = d03rz.getIFAIL(); + npts = d03rz.getNPTS(); + + if (ifail != 0) { + this.IERR = 1; + break; + } + + // Skip printing? + if (!do_monitr || (level != 0)) { + continue; + } + + // Get exact solution + pdeiv.eval(npts, this.NPDE, this.T, x, y, uex); + + System.out.println(); + System.out.printf( + " Solution at every 2nd grid point in level %d at" + + " time %8.4f:\n\n", level + 1, this.T + ); + System.out.print( + " x y approx u exact u approx v" + + " exact v\n\n" + ); + + ipsol = this.LSOL[level]; + + for (int i = 0; i < npts; i += 2) { + aprxU = this.SOL[ipsol + i]; + exctU = uex[getIdx(i+1, 1, npts)]; + aprxV = this.SOL[ipsol + npts + i]; + exctV = uex[getIdx(i+1, 2, npts)]; + System.out.printf( + " %9.2f %9.2f %9.2f %9.2f %9.2f %9.2f\n", + x[i], y[i], aprxU, exctU, aprxV, exctV + ); + } + System.out.println(); + + } + + } + + } + + /** + * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based + * Java index. + * + *

    Fortran array definition: + * a(dimX, *) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + +} diff --git a/simple_examples/int32/D05BAJE.java b/simple_examples/int32/D05BAJE.java new file mode 100644 index 0000000..7a8caf7 --- /dev/null +++ b/simple_examples/int32/D05BAJE.java @@ -0,0 +1,111 @@ +import com.nag.routines.D05.D05BA; +import com.nag.routines.X02.X02AJ; + +/** + * D05BAJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class D05BAJE{ + + /** + * D05BAJE main program + */ + public static void main(String[] args){ + double alim, h, hi, si, thresh, tlim, tol; + int ifail, iorder, lwk, nmesh = 6; + String method; + double[] errest, yn, work; + + errest = new double[nmesh]; + yn = new double[nmesh]; + + System.out.println("D05BAJ Example Program Results"); + + method = "A"; + iorder = 6; + alim = 0; + tlim = 20; + h = (tlim - alim) / (double) nmesh; + tol = 0.001; + X02AJ x02aj = new X02AJ(); + thresh = x02aj.eval(); + lwk = 10 * nmesh + 6; + work = new double[lwk]; + + //Loop until the supplied workspace is big enough + //breakflag used to exit loop + boolean breakflag = false; + while(true){ + ifail = 1; + + ck ck1 = new ck(); + cf cf1 = new cf(); + cg cg1 = new cg(); + + D05BA d05ba = new D05BA(ck1, cg1, cf1, method, iorder, alim, tlim, yn, errest, nmesh, + tol, thresh, work, lwk, ifail); + d05ba.eval(); + + //update + ifail = d05ba.getIFAIL(); + lwk = d05ba.getLWK(); + work = d05ba.getWORK(); + + switch(ifail){ + case 5: + lwk = (int) work[0]; + work = new double[lwk]; + break; + case 6: + lwk = (int) work[0]; + work = new double[lwk]; + break; + default: + breakflag = true; + } + + if(breakflag == true){ + break; + } + } + + if(ifail != 0){ + System.out.printf("D05BAJ exited with IFAIL = %d\n", ifail); + } + + System.out.println(); + System.out.printf("Size of workplace = %d\n", lwk); + System.out.printf("Tolerance = %.4e\n", tol); + System.out.println(); + System.out.print("T\tApprox. Sol.\tTrue Sol.\tEst. Error\tActual Error\n"); + for(int i = 0; i < nmesh; i++){ + hi = (double) (i + 1) * h; + si = sol(hi); + System.out.printf("%.2f\t%.5f\t\t%.5f\t\t%.5e\t%.5e\n", (alim + hi), yn[i], si, errest[i], Math.abs((yn[i] - si) / si)); + } + } + + private static double sol(double t){ + return Math.log(t + Math.exp(1)); + } + + public static class ck extends D05BA.Abstract_D05BA_CK{ + public double eval(){ + return Math.exp(-this.T); + } + } + + public static class cf extends D05BA.Abstract_D05BA_CF{ + public double eval(){ + return Math.exp(-this.T); + } + } + + public static class cg extends D05BA.Abstract_D05BA_CG{ + public double eval(){ + return (this.Y + Math.exp(-this.Y)); + } + } +} + diff --git a/simple_examples/int32/D05BEJE.java b/simple_examples/int32/D05BEJE.java new file mode 100644 index 0000000..f98bea3 --- /dev/null +++ b/simple_examples/int32/D05BEJE.java @@ -0,0 +1,185 @@ +import com.nag.routines.D05.D05BE; +import com.nag.routines.X01.X01AA; +import com.nag.routines.X02.X02AJ; + +/** + * D05BEJ example program text. + * @author willa + */ +public class D05BEJE{ + + private static final int iorder = 4; + private static final int nmesh = (int)(Math.pow(2, 6) + (2 * iorder) - 1); + private static final int nout = 6; + private static final int lct = nmesh / 32 + 1; + private static final int lwk = ((2 * iorder) + 6) * nmesh + (8 * iorder * iorder) - (16 * iorder) + 1; + + public static void main(String[] args){ + double err, errmax, h, hi1, soln = 0, t = 0, tlim, tolnl; + int ifail; + double[] work, yn; + int[] nct; + + work = new double[lwk]; + yn = new double[nmesh]; + nct = new int[lct]; + + System.out.println("D05BEJ Example Program Results"); + + X02AJ x02aj = new X02AJ(); + tlim = 7; + tolnl = Math.sqrt(x02aj.eval()); + h = tlim /(double) (nmesh - 1); + yn[0] = 0; + + ifail = 0; + + D05BE d05be = new D05BE(); + ck1 k1 = new ck1(); + cf1 f1 = new cf1(); + cg1 g1 = new cg1(); + d05be.eval(k1, f1, g1, "Initial", iorder, tlim, tolnl, nmesh, yn, work, lwk, nct, ifail); + + //UPDATE + yn = d05be.getYN(); + + System.out.println(); + System.out.println("Example 1"); + System.out.println(); + System.out.printf("The stepsize h = %.4f\n", h); + System.out.println(); + System.out.println("\tT\tApproximate"); + System.out.println("\t\tSolution"); + System.out.println(); + + errmax = 0; + + for(int i = 1; i < nmesh; i++){ + hi1 = (double) i * h; + err = Math.abs(yn[i] - sol1(hi1)); + + if(err > errmax){ + errmax = err; + t = hi1; + soln = yn[i]; + } + + if((i > 4) && (i % 5 == 0)){ + System.out.printf("\t%.4f\t%.4f\n", hi1, yn[i]); + } + } + + System.out.println(); + System.out.printf("The maximum absolute error, %.2e, occured at T = %.4f with solution %.4f\n", errmax, t, soln); + System.out.println(); + + tlim = 5; + h = tlim /(double) (nmesh - 1); + yn[0] = 1; + + ifail = 0; + + ck2 k2 = new ck2(); + cf2 f2 = new cf2(); + cg2 g2 = new cg2(); + d05be.eval(k2, f2, g2, "Subsequent", iorder, tlim, tolnl, nmesh, yn, work, lwk, nct, ifail); + + //UPDATE + yn = d05be.getYN(); + + System.out.println(); + System.out.println("Example 2"); + System.out.println(); + System.out.printf("The stepsize h = %.4f\n", h); + System.out.println(); + System.out.println("\tT\tApproximate"); + System.out.println("\t\tSolution"); + System.out.println(); + + errmax = 0; + + for(int i = 0; i < nmesh; i++){ + hi1 = (double) i * h; + err = Math.abs(yn[i] - sol2(hi1)); + if(err > errmax){ + errmax = err; + t = hi1; + soln = yn[i]; + } + + if((i > 6) && (i % 7 == 0)){ + System.out.printf("\t%.4f\t%.4f\n", hi1, yn[i]); + } + } + + System.out.println(); + System.out.printf("The maximum absolute error, %.2e, occured at T = %.4f with solution %.4f\n", errmax, t, soln); + } + + private static double sol1(double t){ + double c, pi, t1, x = 0; + + //x is dummy variable + X01AA x01aa = new X01AA(x); + pi = x01aa.eval(); + + t1 = 1 + t; + c = 1 / Math.sqrt(2 * pi); + + return (c * (1 / Math.pow(t, 1.5)) * Math.exp((-t1 * t1) / (2 * t))); + } + + private static double sol2(double t){ + return (1 / (1 + t)); + } + + private static class ck1 extends D05BE.Abstract_D05BE_CK{ + public double eval(){ + return (Math.exp(-0.5 * this.T)); + } + } + + private static class ck2 extends D05BE.Abstract_D05BE_CK{ + double pi, x = 0; + + public double eval(){ + X01AA x01aa = new X01AA(x); + pi = x01aa.eval(); + return Math.sqrt(pi); + } + } + + private static class cf1 extends D05BE.Abstract_D05BE_CF{ + double a, pi, t1, x = 0; + + public double eval(){ + X01AA x01aa = new X01AA(x); + pi = x01aa.eval(); + + t1 = 1 + this.T; + a = 1 / Math.sqrt(pi * this.T); + return (-a * Math.exp((-0.5 * t1 * t1) / this.T)); + } + } + + private static class cf2 extends D05BE.Abstract_D05BE_CF{ + double st1; + + public double eval(){ + st1 = Math.sqrt(1 + this.T); + return ((-2 * Math.log(st1 + Math.sqrt(this.T))) / st1); + } + } + + private static class cg1 extends D05BE.Abstract_D05BE_CG{ + public double eval(){ + return this.Y; + } + } + + private static class cg2 extends D05BE.Abstract_D05BE_CG{ + public double eval(){ + return this.Y; + } + } +} diff --git a/simple_examples/int32/DTFSMJE.java b/simple_examples/int32/DTFSMJE.java new file mode 100644 index 0000000..a88b114 --- /dev/null +++ b/simple_examples/int32/DTFSMJE.java @@ -0,0 +1,54 @@ +import com.nag.routines.F01.DTRTTF; +import com.nag.routines.F06.DTFSM; +import com.nag.routines.X04.X04CA; + +/** + * DTFSM example program text. Adapted from f06wbfe.f90 + * @author joed + */ +public class DTFSMJE { + + public static void main(String[] args) { + + double alpha = 4.21; + int ifail = 0, info = 0, m = 6, n = 4; + String side = "L", trans = "N", transr = "N", uplo = "L"; + DTFSM dtfsm = new DTFSM(); + DTRTTF dtrttf = new DTRTTF(); + X04CA x04ca = new X04CA(); + + System.out.println(" DTFSMJ Example Program Results\n"); + + // Set lower triangle of matrix A + double[] a = new double[m*m]; + for (int i = 0; i < m; i++) { + for (int j = 0; j < m; j++) { + a[i*m+j] = (j >= i) ? j+1 : 0; + } + } + + // Set matrix B + double[] b = new double[] { + 3.22, 1.64, 1.87, 5.20, 1.83, -1.10, + 1.37, 1.80, 2.87, -2.99, -2.71, -0.63, + 2.31, 0.38, 2.02, -0.91, -2.81, -0.50, + 0.29, -1.52, -0.80, -3.87, -1.13, 0.81 + }; + + // Convert A to rectangular full packed storage in ar + double[] ar = new double[(m*(m+1))/2]; + info = 0; + dtrttf.eval(transr, uplo, m, a, m, ar, info); + info = dtrttf.getINFO(); + + // Perform the matrix-matrix operation + dtfsm.eval(transr, side, uplo, trans, "N", m, n, alpha, ar, b, m); + + // Print result + ifail = 0; + x04ca.eval("General", " ", m, n, b, m, "The Solution", ifail); + ifail = x04ca.getIFAIL(); + + } + +} diff --git a/simple_examples/int32/E01DAJE.java b/simple_examples/int32/E01DAJE.java new file mode 100644 index 0000000..10c008f --- /dev/null +++ b/simple_examples/int32/E01DAJE.java @@ -0,0 +1,182 @@ +import com.nag.routines.E01.E01DA; +import com.nag.routines.E02.E02DF; + +/** + * E01DA example program text. + */ +public class E01DAJE { + + public static void main(String[] args) { + + int mx = 7, my = 6, ifail = -1; + double[] x = new double[mx]; + double[] y = new double[my]; + double[] f = new double[mx*my]; + double[] lamda = new double[mx+4]; + double[] mu = new double[my+4]; + double[] c = new double[mx*my]; + double[] wrk = new double[(mx+6)*(my+6)]; + + int nx = 6, ny = 6, px = 0, py = 0; + double xlo = 1.0, xhi = 2.0; + double ylo = 0.0, yhi = 1.0; + + E01DA e01da = new E01DA(); + + // Input X, Y and function values on X-Y grid + x[0] = 1.00; + x[1] = 1.10; + x[2] = 1.30; + x[3] = 1.50; + x[4] = 1.60; + x[5] = 1.80; + x[6] = 2.00; + + y[0] = 0.00; + y[1] = 0.10; + y[2] = 0.40; + y[3] = 0.70; + y[4] = 0.90; + y[5] = 1.00; + + // On entry: F[my*(q-1)+r-1] must contain f(q,r), for q=1,2,...,mx + // and r=1,2,...,my. + f[0] = 1.00; + f[1] = 1.10; + f[2] = 1.40; + f[3] = 1.70; + f[4] = 1.90; + f[5] = 2.00; + f[6] = 1.21; + f[7] = 1.31; + f[8] = 1.61; + f[9] = 1.91; + f[10] = 2.11; + f[11] = 2.21; + f[12] = 1.69; + f[13] = 1.79; + f[14] = 2.09; + f[15] = 2.39; + f[16] = 2.59; + f[17] = 2.69; + f[18] = 2.25; + f[19] = 2.35; + f[20] = 2.65; + f[21] = 2.95; + f[22] = 3.15; + f[23] = 3.25; + f[24] = 2.56; + f[25] = 2.66; + f[26] = 2.96; + f[27] = 3.26; + f[28] = 3.46; + f[29] = 3.56; + f[30] = 3.24; + f[31] = 3.34; + f[32] = 3.64; + f[33] = 3.94; + f[34] = 4.14; + f[35] = 4.24; + f[36] = 4.00; + f[37] = 4.10; + f[38] = 4.40; + f[39] = 4.70; + f[40] = 4.90; + f[41] = 5.00; + + System.out.printf(" E01DAJ Example Program Results\n\n"); + e01da.eval(mx, my, x, y, f, px, py, lamda, mu, c, wrk, ifail); + + ifail = e01da.getIFAIL(); + switch (ifail) { + case 0: + System.out.printf(" I Knot LAMDA(I) J Knot MU(j)\n"); + for (int i = 3; i <= Math.max(mx,my); ++i) { + if (i <= mx) { + System.out.printf("%4d %9.4f", i+1, lamda[i]); + } + else { + System.out.printf(" "); + } + if (i <= my) { + System.out.printf("%8d %9.4f\n", i+1, mu[i]); + } + else { + System.out.printf("\n"); + } + } + System.out.printf("\n The B-Spline coefficients:\n"); + for (int i = 0; i < mx*my; ++i) { + System.out.printf("%9.4f", c[i]); + if ((i+1)%8 == 0) { + System.out.printf("\n"); + } + } + System.out.printf("\n"); + break; + default: + System.out.printf("\n Error detected by E01DA: %d\n", ifail); + } + + /* Evaluate the spline on a regular rectangular grid at nx*ny points + over the domain [xlo,xhi] x [ylo,yhi]. */ + px = e01da.getPX(); + py = e01da.getPY(); + int liwrk; + int lwrk = Math.min(4*nx+px, 4*ny+py); + if (4*nx+px > 4*ny+py) { + liwrk = ny + py - 4; + } + else { + liwrk = nx + px - 4; + } + double[] tx = new double[nx]; + double[] ty = new double[ny]; + double[] ff = new double[nx*ny]; + wrk = new double[lwrk]; + int[] iwrk = new int[liwrk]; + + /* Generate nx/ny equispaced x/y co-ordinates */ + double step = (xhi-xlo)/(nx-1); + tx[0] = xlo; + for (int i = 1; i < nx-1; i++) { + tx[i] = tx[i-1] + step; + } + tx[nx-1] = xhi; + + step = (yhi-ylo)/(ny-1); + ty[0] = ylo; + for (int i = 1; i < ny-1; i++) { + ty[i] = ty[i-1] + step; + } + ty[ny-1] = yhi; + + /* Evaluate the spline. */ + E02DF e02df = new E02DF(); + ifail = 0; + e02df.eval(nx,ny,px,py,tx,ty,lamda,mu,c,ff,wrk,lwrk,iwrk,liwrk,ifail); + + ifail = e02df.getIFAIL(); + switch (ifail) { + case 0: + System.out.printf("\n Spline evaluated on a regular mesh (X across, Y down):\n"); + System.out.printf(" "); + for (int i = 0; i < nx; ++i) { + System.out.printf(" %5.2f ", tx[i]); + } + System.out.printf("\n"); + for (int i = 0; i < ny; ++i) { + System.out.printf(" %5.2f ", ty[i]); + for (int j = 0; j < nx; ++j) { + System.out.printf(" %8.3f", ff[ny*j+i]); + } + System.out.printf("\n"); + } + break; + default: + System.out.printf("\n Error detected by E02DF: %d\n", ifail); + } + + } + +} diff --git a/simple_examples/int32/E02ALJE.java b/simple_examples/int32/E02ALJE.java new file mode 100644 index 0000000..372f125 --- /dev/null +++ b/simple_examples/int32/E02ALJE.java @@ -0,0 +1,101 @@ +import com.nag.routines.E02.E02AL; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * E02ALJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class E02ALJE{ + + /** + * E02ALJ Example main program + */ + public static void main(String[] args){ + double dxx, ref = 0, s, t, xx; + int ifail, n = 0, m = 0, neval = 0; //placeholders + double[] a, x, y; + + a = new double[0]; + x = new double[0]; + y = new double[0]; //placeholders + + System.out.println("E02ALJ Example Program Results"); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[1]); + m = Integer.parseInt(sVal[2]); + neval = Integer.parseInt(sVal[3]); + + a = new double[m + 1]; + x = new double[n]; + y = new double[n]; + + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + x[i] = Double.parseDouble(sVal[1]); + y[i] = Double.parseDouble(sVal[2]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + System.exit(-2); + } + + ifail = 0; + E02AL e02al = new E02AL(n, x, y, m, a, ref, ifail); + e02al.eval(); + + //update + ref = e02al.getREF(); + x = e02al.getX(); + y = e02al.getY(); + + + System.out.println(); + System.out.printf(" Polynomial coefficients\n"); + for(int i = 0; i <= m; i++){ + System.out.printf("\t%.4e\n", a[i]); + } + System.out.println(); + System.out.printf(" Reference deviation = %.2e\n", ref); + System.out.println(); + System.out.printf("\tX\tFit\texp(x)\tResidual\n"); + + dxx = 1/(double)(neval - 1); + + for(int j = 0; j < neval; j++){ + xx = (double) j * dxx; + + s = a[m]; + + for(int i = m - 1; i >=0; i--){ + s = s * xx + a[i]; + } + + t = Math.exp(xx); + System.out.printf("\t%.2f\t%.4f\t%.4f\t%.2e\n", xx, s, t, (s - t)); + } + } +} + diff --git a/simple_examples/int32/E04ABJE.java b/simple_examples/int32/E04ABJE.java new file mode 100644 index 0000000..773f1ff --- /dev/null +++ b/simple_examples/int32/E04ABJE.java @@ -0,0 +1,76 @@ +import com.nag.routines.E04.E04AB; + +/** + * E04ABJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class E04ABJE{ + + /** + * E04ABJE main program + */ + public static void main(String[] args){ + double a, b, e1, e2, f = 0, x = 0; //placeholders + int ifail, maxcal; + double[] ruser; + int[] iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println("E04ABJ Example Program Results"); + + //e1 and e2 are set to zero so that E04ABA will reset them to their default values + + e1 = 0; + e2 = 0; + + //The minimum is known to lie in the range (3.5, 5.0) + + a = 3.5; + b = 5.0; + + //Allow 30 calls of FUNCT + + maxcal = 30; + + ifail = -1; + funct funct1 = new funct(); + E04AB e04ab = new E04AB(funct1, e1, e2, a, b, maxcal, x, f, iuser, ruser, ifail); + e04ab.eval(); + + //update + ifail = e04ab.getIFAIL(); + a = e04ab.getA(); + b = e04ab.getB(); + x = e04ab.getX(); + f = e04ab.getF(); + maxcal = e04ab.getMAXCAL(); + + switch(ifail){ + case 0: + System.out.println(); + System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); + System.out.printf("Its estimated position is %.8f,\n", x); + System.out.printf("where the function value is %.4f\n", f); + System.out.printf("%d function evaluations were required\n", maxcal); + break; + case 2: + System.out.println(); + System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); + System.out.printf("Its estimated position is %.8f,\n", x); + System.out.printf("where the function value is %.4f\n", f); + System.out.printf("%d function evaluations were required\n", maxcal); + break; + default: + break; + } + } + + public static class funct extends E04AB.Abstract_E04AB_FUNCT{ + public void eval(){ + FC = Math.sin(this.XC) / this.XC; + } + } +} diff --git a/simple_examples/int32/E04BBJE.java b/simple_examples/int32/E04BBJE.java new file mode 100644 index 0000000..d7032f5 --- /dev/null +++ b/simple_examples/int32/E04BBJE.java @@ -0,0 +1,81 @@ +import com.nag.routines.E04.E04BB; + +/** + * E04BBJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class E04BBJE{ + + /** + * E04BBJE main program + */ + public static void main(String[] args){ + double a, b, e1, e2, f = 0, g = 0, x = 0; //placeholders + int ifail, maxcal; + double[] ruser; + int[] iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println("E04BBJ Example Program Results"); + + //e1 and e2 are set to zero so that E04BBA will reset them to their default values + + e1 = 0; + e2 = 0; + + //The minimum is known to lie in the range (3.5, 5.0) + + a = 3.5; + b = 5.0; + + //Allow 30 calls of FUNCT + + maxcal = 30; + + ifail = -1; + funct funct1 = new funct(); + E04BB e04bb = new E04BB(funct1, e1, e2, a, b, maxcal, x, f, g, iuser, ruser, ifail); + e04bb.eval(); + + //update + a = e04bb.getA(); + b = e04bb.getB(); + maxcal = e04bb.getMAXCAL(); + x = e04bb.getX(); + f = e04bb.getF(); + g = e04bb.getG(); + ifail = e04bb.getIFAIL(); + + switch(ifail){ + case 0: + System.out.println(); + System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); + System.out.printf("Its estimated position is %.8f,\n", x); + System.out.printf("where the function value is %.4f\n", f); + System.out.printf("and the gradient is %.1e (machine dependent)\n", g); + System.out.printf("%d function evaluations were required\n", maxcal); + break; + case 2: + System.out.println(); + System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); + System.out.printf("Its estimated position is %.8f,\n", x); + System.out.printf("where the function value is %.4f\n", f); + System.out.printf("and the gradient is %.1e (machine dependent)\n", g); + System.out.printf("%d function evaluations were required\n", maxcal); + break; + default: + break; + } + } + + public static class funct extends E04BB.Abstract_E04BB_FUNCT{ + public void eval(){ + this.FC = Math.sin(this.XC) / this.XC; + this.GC = (Math.cos(this.XC) - this.FC)/this.XC; + } + } +} + diff --git a/simple_examples/int32/E04CBJE.java b/simple_examples/int32/E04CBJE.java new file mode 100644 index 0000000..fbde674 --- /dev/null +++ b/simple_examples/int32/E04CBJE.java @@ -0,0 +1,90 @@ +import com.nag.routines.E04.E04CB; +import com.nag.routines.E04.E04CBK; +import com.nag.routines.X02.X02AJ; + +/** + * E04CBJ Example Program text + * @author willa + * @since 27.1.0.0 + */ +public class E04CBJE{ + + /** + * E04CBJE main program + */ + public static void main(String[] args){ + int n = 2, ifail, maxcal; + double f = 0, tolf, tolx; //placeholders + boolean monitoring; + int[] iuser; + double[] ruser, x; + + iuser = new int[1]; + ruser = new double[1]; + x = new double[n]; + + System.out.println("E04CBJ Example Program Results"); + + //Set monitoring to true to obtain monitoring information + monitoring = false; + + x[0] = -1.0; + x[1] = 1.0; + X02AJ x02aj = new X02AJ(); + tolf = Math.sqrt(x02aj.eval()); + tolx = Math.sqrt(tolf); + maxcal = 100; + + ifail = 0; + + funct funct1 = new funct(); + if(!monitoring){ + defMonit monit = new defMonit(); + E04CB e04cb = new E04CB(n, x, f, tolf, tolx, funct1, monit, maxcal, iuser, ruser, ifail); + e04cb.eval(); + } + else{ + myMonit monit = new myMonit(); + E04CB e04cb = new E04CB(n, x, f, tolf, tolx, funct1, monit, maxcal, iuser, ruser, ifail); + e04cb.eval(); + } + + System.out.println(); + System.out.printf("The final function value is \t%.4f\n", f); + System.out.printf("at the point\t"); + for(int i = 0; i < n; i++){ + System.out.printf("%.4f\t", x[i]); + } + System.out.printf("\n"); + } + + public static class funct extends E04CB.Abstract_E04CB_FUNCT{ + public void eval(){ + this.FC = Math.exp(this.XC[0]) * ((4 * this.XC[0] * (this.XC[0] + this.XC[1])) + (2 * this.XC[1] * (this.XC[1] + 1) + 1)); + } + } + + public static class myMonit extends E04CB.Abstract_E04CB_MONIT{ + public void eval(){ + System.out.println(); + System.out.printf("There have been %d function calls\n", this.NCALL); + System.out.printf("The smallest function value is %.4f\n", this.FMIN); + System.out.printf("The simplex is\n"); + for(int i = 0; i <= this.N; i++){ + for(int j = 0; j < this.N; j++){ + System.out.printf("%.4f\t", this.SIM[(j * (this.N + 1)) + i]); + } + System.out.printf("\n"); + } + System.out.printf("The standard deviation in function values of the vertices of the simplex is %.4f\n", this.SERROR); + System.out.printf("The linearized volume ratio of the current simplex to the starting one is %.4f\n", this.VRATIO); + } + } + + //This is how to use NAG supplied function as argument + public static class defMonit extends E04CBK implements E04CB.E04CB_MONIT{ + public void eval(){ + super.eval(); + } + } +} diff --git a/simple_examples/int32/E04FCJE.java b/simple_examples/int32/E04FCJE.java new file mode 100644 index 0000000..939f68d --- /dev/null +++ b/simple_examples/int32/E04FCJE.java @@ -0,0 +1,420 @@ +import com.nag.routines.E04.E04FC; +import com.nag.routines.F06.DDOT; +import com.nag.routines.F06.DGEMV; +import com.nag.routines.X02.X02AJ; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.IOException; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * E04FC example program text. + * @author ludovic + */ +public class E04FCJE { + + public static void main(String[] args) { + + BufferedReader dataIn = null; + + try { + E04FC e04fc = new E04FC(); + System.out.println(" E04FCJ Example Program Results"); + dataIn = new BufferedReader(new FileReader(args[0])); + //skip header + dataIn.readLine(); + + int inc1 = 1, liw = 1, m, ldfjac = m = 15, n, ldv = n = 3, nt = 3, + lw = 6 * n + m * n + 2 * m + n * (n - 1) / 2; + String trans = "T"; + + double eta, fsumsq, stepmx, xtol; + eta = fsumsq = stepmx = xtol = Double.NaN; + int ifail, iprint, maxcal, nf, niter; + ifail = iprint = maxcal = nf = niter = 0; + double[] fjac = new double[m * n], + fvec = new double[m], + g = new double[n], + s = new double[n], + v = new double[ldv * n], + w = new double[lw], + x = new double[n], + y = new double[m], + t = new double[m * nt]; + + + int[] iw = new int[liw]; + + for (int i = 0; i < m; ++i) { + String[] line = dataIn.readLine().trim().split("\\s+"); + if (line.length != nt + 1) { + System.err.println("Error in data file - only " + line.length + + " records at line " + (i + 2) + " while expecting " + (nt + 1) + + " elements"); + System.exit(1); + } + y[i] = Double.parseDouble(line[0].replaceAll("D", "E")); // java doesn't know the D format + for (int j = 1; j <= nt; ++j) { + t[i + (j - 1) * m] = Double.parseDouble(line[j].replaceAll("D", "E")); + } + } + + // Set IPRINT to 1 to obtain output from LSQMON at each iteration + iprint = -1; + + maxcal = 400 * n; + eta = 0.5; + xtol = 10.0 * Math.sqrt((new X02AJ()).eval()); + + // We estimate that the minimum will be within 10 units of the starting point + stepmx = 10.0; + + // Set up the starting point + x[0] = 0.5; + x[1] = 1.0; + x[2] = 1.5; + + ifail = -1; + + LSQFUN lsqfun = new LSQFUN(); + lsqfun.t = t; + lsqfun.y = y; + LSQMON lsqmon = new LSQMON(); + + e04fc.eval(m, n, lsqfun, lsqmon, iprint, maxcal, eta, xtol, stepmx, x, fsumsq, + fvec, fjac, ldfjac, s, v, ldv, niter, nf, iw, liw, w, lw, ifail); + + ifail = e04fc.getIFAIL(); + + + switch (ifail) { + case (1): + System.err.println("Unexpected ifail = " + ifail); + break; + default: + System.out.println(); + System.out.printf(" On exit, the sum of squares is %12.4f\n", e04fc.getFSUMSQ()); + System.out.printf(" at the point %12.4f %12.4f %12.4f\n", x[0], x[1], x[2]); + lsqgrd(m, n, fvec, fjac, ldfjac, g); + System.out.print(" The estimated gradient is "); + for (int i = 0; i < n; ++i) { + System.out.printf(" %12.3e\t", g[i]); + } + System.out.println(); + System.out.println(" (machine dependent)"); + System.out.println(" and the residuals are"); + for (int i = 0; i < m; ++i) { + System.out.printf(" %9.1e\n", fvec[i]); + } + } + + + + } + catch (Exception ex) { + Logger.getLogger(E04FCJE.class.getName()).log(Level.SEVERE, null, ex); + } + finally { + try { + dataIn.close(); + } + catch (IOException ex) { + Logger.getLogger(E04FCJE.class.getName()).log(Level.SEVERE, null, ex); + } + } + + + } + + public static void lsqgrd(int m, int n, double[] fvec, double[] fjac, int ldfjac, double[] g) { + DGEMV dgemv = new DGEMV("T", m, n, 1.0, fjac, ldfjac, fvec, 1, 0.0, g, 1); + dgemv.eval(); + for (int i = 0; i < g.length; ++i) { + g[i] = 2.0 * g[i]; + } + } + + public static class LSQFUN implements E04FC.E04FC_LSQFUN { + + public double[] t, y; + int IFLAG, M, N, LW, LIW; + double[] XC, FVEC, W; + int[] IW; + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setM(int M) { + this.M = M; + } + + @Override + public int getM() { + return M; + } + + @Override + public void setN(int N) { + this.N = N; + } + + @Override + public int getN() { + return N; + } + + @Override + public void setXC(double[] XC) { + this.XC = XC; + } + + @Override + public double[] getXC() { + return XC; + } + + @Override + public void setFVEC(double[] FVEC) { + this.FVEC = FVEC; + } + + @Override + public double[] getFVEC() { + return FVEC; + } + + @Override + public void setIW(int[] IW) { + this.IW = IW; + } + + @Override + public int[] getIW() { + return IW; + } + + @Override + public void setLIW(int LIW) { + this.LIW = LIW; + } + + @Override + public int getLIW() { + return LIW; + } + + @Override + public void setW(double[] W) { + this.W = W; + } + + @Override + public double[] getW() { + return W; + } + + @Override + public void setLW(int LW) { + this.LW = LW; + } + + @Override + public int getLW() { + return LW; + } + + @Override + public void eval(int IFLAG, int M, int N, double[] XC, double[] FVEC, + int[] IW, int LIW, double[] W, int LW) { + for (int i = 0; i < M; ++i) { + FVEC[i] = XC[0] + t[i] / (XC[1] * t[i + M] + XC[2] * t[i + 2 * M]) - y[i]; + } + } + + } + + public static class LSQMON implements E04FC.E04FC_LSQMON { + + int M, N, LDFJAC, NITER, NF, IGRADE, LIW, LW; + int[] IW; + double[] XC, FVEC, FJAC, S, W; + + @Override + public void setM(int M) { + this.M = M; + } + + @Override + public int getM() { + return M; + } + + @Override + public void setN(int N) { + this.N = N; + } + + @Override + public int getN() { + return N; + } + + @Override + public void setXC(double[] XC) { + this.XC = XC; + } + + @Override + public double[] getXC() { + return XC; + } + + @Override + public void setFVEC(double[] FVEC) { + this.FVEC = FVEC; + } + + @Override + public double[] getFVEC() { + return FVEC; + } + + @Override + public void setFJAC(double[] FJAC) { + this.FJAC = FJAC; + } + + @Override + public double[] getFJAC() { + return FJAC; + } + + @Override + public void setLDFJAC(int LDFJAC) { + this.LDFJAC = LDFJAC; + } + + @Override + public int getLDFJAC() { + return LDFJAC; + } + + @Override + public void setS(double[] S) { + this.S = S; + } + + @Override + public double[] getS() { + return S; + } + + @Override + public void setIGRADE(int IGRADE) { + this.IGRADE = IGRADE; + } + + @Override + public int getIGRADE() { + return IGRADE; + } + + @Override + public void setNITER(int NITER) { + this.NITER = NITER; + } + + @Override + public int getNITER() { + return NITER; + } + + @Override + public void setNF(int NF) { + this.NF = NF; + } + + @Override + public int getNF() { + return NF; + } + + @Override + public void setIW(int[] IW) { + this.IW = IW; + } + + @Override + public int[] getIW() { + return IW; + } + + @Override + public void setLIW(int LIW) { + this.LIW = LIW; + } + + @Override + public int getLIW() { + return LIW; + } + + @Override + public void setW(double[] W) { + this.W = W; + } + + @Override + public double[] getW() { + return W; + } + + @Override + public void setLW(int LW) { + this.LW = LW; + } + + @Override + public int getLW() { + return LW; + } + + @Override + public void eval(int M, int N, double[] XC, double[] FVEC, double[] FJAC, + int LDFJAC, double[] S, int IGRADE, int NITER, int NF, int[] IW, + int LIW, double[] W, int LW) { + + int ndec = 3; + double fsumsq, gtg; + double[] g = new double[ndec]; + DDOT ddot = new DDOT(M, FVEC, 1, FVEC, 1); + fsumsq = ddot.eval(); + + lsqgrd(M, N, FVEC, FJAC, LDFJAC, g); + + gtg = ddot.eval(N, g, 1, g, 1); + // 99998 Format (1X,1P,E13.5,10X,1P,E9.1,10X,1P,E9.1) + System.out.println(); + System.out.println(" Itn F evals SUMSQ GTG Grade"); + System.out.printf(" %4d %5d %13.5e %9.1e %3d\n", + NITER, NF, fsumsq, gtg, IGRADE); + System.out.println(); + System.out.println(" X G Singular values"); + for (int j = 0; j < N; ++j) { + System.out.printf(" %13.5e %9.1e %9.1e\n",XC[j], g[j], S[j]); + } + + } + + } + +} diff --git a/simple_examples/int32/E04FFJE.java b/simple_examples/int32/E04FFJE.java new file mode 100644 index 0000000..ad81e32 --- /dev/null +++ b/simple_examples/int32/E04FFJE.java @@ -0,0 +1,140 @@ +import com.nag.routines.E04.E04FF; +import com.nag.routines.E04.E04FFU; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RM; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04ZM; +import java.util.Arrays; + +/** + * E04FF example program text. + * @author joed + */ +public class E04FFJE { + + public static void main(String[] args) { + double infbnd = 1.0e20; + double[] lx, rx, ux, x, ruser, pdy, pdz; + double[] rinfo = new double[100], stats = new double[100]; + int ifail, isparse, nnzrd, nres, nvar, pdny, pdnz; + int[] iuser; + int[] icolrd = new int[1], irowrd = new int[1]; + long cpuser, handle; // c_ptr + MONIT monit = new MONIT(); + OBJFUN objfun = new OBJFUN(); + + /* Header */ + System.out.printf(" E04FFJ Example Program Results\n\n"); + + /* Fill problem data structure */ + pdny = 11; + pdnz = 11; + pdy = new double[] { + 4.0e0, 2.0e0, 1.0e0, 5.0e-1, 2.5e-1, 1.67e-1, 1.25e-1, 1.0e-1, + 8.33e-2, 7.14e-2, 6.25e-2 + }; + pdz = new double[] { + 1.957e-1, 1.947e-1, 1.735e-1, 1.6e-1, 8.44e-2, 6.27e-2, 4.56e-2, + 3.42e-2, 3.23e-2, 2.35e-2, 2.46e-2 + }; + nvar = 4; + nres = 11; + + /* Initialize handle */ + E04RA e04ra = new E04RA(); + handle = 0; + ifail = 0; // hard fail + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + /* Define residuals structure */ + E04RM e04rm = new E04RM(); + isparse = 0; // Dense => irowrd and icolrd are not accessed + nnzrd = 1; + ifail = 0; + e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); + + /* Set options */ + E04ZM e04zm = new E04ZM(); + ifail = 0; + e04zm.eval(handle, "DFLS Trust Region Tolerance = 5.0e-6", ifail); + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + + /* Define starting point */ + x = new double[] {0.25, 0.39, 0.415, 0.39}; + rx = new double[nres]; + + /* Define bounds for the second and the fourth variable */ + E04RH e04rh = new E04RH(); + lx = new double[] {-infbnd, 0.2, -infbnd, 0.3}; + ux = new double[] {infbnd, 1.0, infbnd, infbnd}; + ifail = 0; + e04rh.eval(handle, nvar, lx, ux, ifail); + + /* Call the solver */ + E04FF e04ff = new E04FF(); + ifail = -1; + iuser = new int[] {pdny, pdnz}; + ruser = new double[2 * nres]; + cpuser = 0L; + for (int i = 0; i < nres; i++) { + ruser[i] = pdy[i]; + ruser[nres + i] = pdz[i]; + } + e04ff.eval(handle, objfun, monit, nvar, x, nres, rx, rinfo, stats, + iuser, ruser, cpuser, ifail); + + /* Free handle memory */ + E04RZ e04rz = new E04RZ(); + ifail = 0; + e04rz.eval(handle, ifail); + + } + + public static class OBJFUN extends E04FF.Abstract_E04FF_OBJFUN { + + public void eval() { + int pdny, pdnz; + double r1, r2; + double[] pdy, pdz; + + /* Interrupt solver if the dimensions are incorrect */ + if (this.NRES != 11 || this.NVAR != 4) { + this.INFORM = -1; + return; + } + + /* Extract the problem data structure from the workspaces */ + pdny = this.IUSER[0]; + pdnz = this.IUSER[1]; + if (pdny != this.NRES || pdnz != this.NRES) { + this.INFORM = -1; + return; + } + pdy = Arrays.copyOfRange(this.RUSER, 0, pdny); + pdz = Arrays.copyOfRange(this.RUSER, pdny, pdny + pdnz); + + for (int i = 0; i < this.NRES; i++) { + r1 = pdy[i] * (pdy[i] + this.X[1]); + r2 = pdy[i] * (pdy[i] + this.X[2]) + this.X[3]; + this.RX[i] = pdz[i] - (this.X[0] * r1/r2); + } + + } + + } + + public static class MONIT extends E04FF.Abstract_E04FF_MONIT { + + public void eval() { + E04FFU e04ffu = new E04FFU(); + e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, + this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ffu.getINFORM(); + } + + } + +} diff --git a/simple_examples/int32/E04GBJE.java b/simple_examples/int32/E04GBJE.java new file mode 100644 index 0000000..7becf21 --- /dev/null +++ b/simple_examples/int32/E04GBJE.java @@ -0,0 +1,183 @@ +import com.nag.routines.A00.A00AA; +import com.nag.routines.E04.E04GB; +import com.nag.routines.E04.E04HEV; +import com.nag.routines.E04.E04YA; +import com.nag.routines.F06.DDOT; +import com.nag.routines.F06.F06PA; +import com.nag.routines.X02.X02AJ; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * E04GB example program text. + */ +public class E04GBJE { + + public static final int inc1 = 1, liw = 1, m = 15, n = 3, nt = 3; + public static final int ldfjac = m, ldv = n, lw = 7*n + m*n + 2*m + n*n; + public static final String trans = "T"; + public static double[] y; + public static double[] t; + + public static void main(String[] args) { + + double eta, fsumq = 0.0, stepmx, xtol; + int ifail, iprint, maxcal, nf = 0, niter = 0; + double[] fjac = new double[ldfjac * n]; + double[] fvec = new double[m]; + double[] g = new double[n]; + double[] s = new double[n]; + double[] v = new double[ldv * n]; + double[] w = new double[lw * n]; + double[] x = new double[n]; + int[] iw = new int[liw]; + + System.out.println(" E04GBJ Example Program Results"); + + // Data + y = new double[] { + 0.14, 0.18, 0.22, 0.25, 0.29, 0.32, 0.35, 0.39, 0.37, 0.58, 0.73, + 0.96, 1.34, 2.10, 4.39 + }; + + t = new double[m * nt]; + for (int i = 0; i < m; i++) { + t[i] = i + 1.0; + t[m + i] = 15.0 - i; + t[2*m + i] = -Math.abs(i - 7.0) + 8.0; + } + + // Check LSQFUN by calling E04YA at an arbitrary point + E04YA e04ya = new E04YA(); + LSQFUN lsqfun = new LSQFUN(); + x[0] = 0.19; + x[1] = -.34; + x[2] = 0.88; + ifail = 0; + e04ya.eval(m, n, lsqfun, x, fvec, fjac, ldfjac, iw, liw, w, lw, ifail); + + // Continue setting parameters for E04GB + E04GB e04gb = new E04GB(); + LSQMON lsqmon = new LSQMON(); + LSQLIN lsqlin = new LSQLIN(); + iprint = -1; // Set to 1 to obtain output from LSQMON at each iteration + maxcal = 50 * n; + eta = 0.09; // Since E04HEV is being used as LSQLIN + xtol = 10.0 * Math.sqrt((new X02AJ()).eval()); + stepmx = 10.0; + + // Set up the starting point + x[0] = 0.5; + x[1] = 1.0; + x[2] = 1.5; + + ifail = -1; + e04gb.eval(m, n, lsqlin, lsqfun, lsqmon, iprint, maxcal, eta, xtol, + stepmx, x, fsumq, fvec, fjac, ldfjac, s, v, ldv, niter, nf, iw, + liw, w, lw, ifail); + fsumq = e04gb.getFSUMSQ(); + x = e04gb.getX(); + ifail = e04gb.getIFAIL(); + + if (ifail == 0 || ifail >= 2) { + System.out.println(); + System.out.printf(" On exit, the sum of squares is %12.4f\n", fsumq); + System.out.printf(" at the point "); + for (int ii = 0; ii < n; ++ii) { + System.out.printf("%12.4f", x[ii]); + } + System.out.println(); + + lsqmon.lsqgrd(m, n, fvec, fjac, ldfjac, g); + + System.out.print(" The corresponding gradient is"); + for (int ii = 0; ii < n; ++ii) { + System.out.printf("%12.3E", g[ii]); + } + System.out.println(); + System.out.println(" (machine dependent)"); + System.out.println(" and the residuals are"); + for (int ii = 0; ii < m; ++ii) { + System.out.printf(" %9.1E\n", fvec[ii]); + } + System.out.println(); + } + + } + + /** Routine to evaluate the residuals and their 1st derivatives. */ + public static class LSQFUN extends E04GB.Abstract_E04GB_LSQFUN implements E04YA.E04YA_LSQFUN { + + public void eval() { + double denom, dummy; + + for (int i = 0; i < m; i++) { + denom = this.XC[1] * t[i + this.M] + this.XC[2] * t[i + 2*this.M]; + this.FVEC[i] = this.XC[0] + t[i] / denom - y[i]; + + if (this.IFLAG != 0) { + this.FJAC[i] = 1.0; + dummy = -1.0 / (denom * denom); + this.FJAC[i + ldfjac] = t[i] * t[i + this.M] * dummy; + this.FJAC[i + 2*ldfjac] = t[i] * t[i + 2*this.M] * dummy; + } + } + + } + + } + + public static class LSQMON extends E04GB.Abstract_E04GB_LSQMON { + + public static final int ndec = 3; + + /** Monitoring routine. */ + public void eval() { + double fsumsq, gtg; + double[] g = new double[ndec]; + DDOT ddot = new DDOT(); + + fsumsq = ddot.eval(this.M, this.FVEC, inc1, this.FVEC, inc1); + this.lsqgrd(this.M, this.N, this.FVEC, this.FJAC, this.LDFJAC, g); + gtg = ddot.eval(this.N, g, inc1, g, inc1); + + System.out.println(); + System.out.println(" Itn F evals SUMSQ GTG Grade"); + System.out.printf(" %4d %5d %13.5E %9.1E %3d\n", + this.NITER, this.NF, fsumsq, gtg, this.IGRADE); + System.out.println(); + System.out.println(" X G Singular values"); + for (int j = 0; j < n; j++) { + System.out.printf(" %13.5E %9.1E %9.1E\n", + this.XC[j], g[j], this.S[j]); + } + + } + + /** Routine to evaluate gradient of the sum of squares. */ + public void lsqgrd(int m, int n, double[] fvec, double[] fjac, int ldfjac, double[] g) { + F06PA f06pa = new F06PA(trans, m, n, 1.0, fjac, ldfjac, fvec, inc1, 0.0, g, inc1); + f06pa.eval(); + + for (int i = 0; i < n; ++i) { + g[i] = 2.0 * g[i]; + } + + } + + } + + /** Using E04HEV as LSQLIN. */ + private static class LSQLIN extends E04HEV implements E04GB.E04GB_LSQLIN { + + public void eval() { + super.eval(); + } + + } + +} diff --git a/simple_examples/int32/E04GGJE.java b/simple_examples/int32/E04GGJE.java new file mode 100644 index 0000000..8a18c6a --- /dev/null +++ b/simple_examples/int32/E04GGJE.java @@ -0,0 +1,219 @@ +import com.nag.routines.E04.E04FFU; +import com.nag.routines.E04.E04GG; +import com.nag.routines.E04.E04GGV; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RM; +import com.nag.routines.E04.E04RX; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04ZM; + +/** + * E04GG example program text. + */ +public class E04GGJE { + + public static void main(String[] args) { + + final double infbnd = 1.0e20; + + long cpuser = 0, handle = 0; + int ifail, isparse, nnzrd, nres, nvar; + + double[] blx, bux, ruser, rx, x, z; + double[] rinfo = new double[100], stats = new double[100]; + int[] icolrd = new int[1], irowrd = new int[1], iuser = new int[1]; + + /* Header */ + System.out.println(" E04GGJ Example Program Results\n"); + + nvar = 6; + nres = 24; + // ruser = new double[2*nres]; + // Data from Lanczos 3 Problem + ruser = new double[] { + // t(:) = + 0.0e0, 5.0e-2, 1.0e-1, 1.5e-1, 2.0e-1, 2.5e-1, 3.0e-1, 3.5e-1, + 4.0e-1, 4.5e-1, 5.0e-1, 5.5e-1, 6.0e-1, 6.5e-1, 7.0e-1, 7.5e-1, + 8.0e-1, 8.5e-1, 9.0e-1, 9.5e-1, 1.0e0, 1.05e0, 1.10e0, 1.15e0, + // y(:) = + 2.5134, 2.0443, 1.6684, 1.3664, 1.1232, 0.9269, 0.7679, 0.6389, + 0.5338, 0.4479, 0.3776, 0.3197, 0.2720, 0.2325, 0.1997, 0.1723, + 0.1493, 0.1301, 0.1138, 0.1000, 0.0883, 0.0783, 0.0698, 0.0624 + }; + + iuser[0] = 0; + + // Initialize handle + ifail = 0; + E04RA e04ra = new E04RA(); + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + // Define residuals structure, isparse=0 means the residual structure is + // dense => irowrd and icolrd are not accessed + isparse = 0; + nnzrd = 0; + E04RM e04rm = new E04RM(); + e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); + + // Set options + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "BXNL Use Second Derivatives = Yes",ifail); + e04zm.eval(handle, "BXNL Model = Gauss-Newton",ifail); + e04zm.eval(handle, "BXNL Glob Method = Reg",ifail); + // Change printed output verbosity + e04zm.eval(handle, "Print Level = 1",ifail); + + // Define starting point + rx = new double[nres]; + z = new double[nvar]; + // x = new double[nvar]; + x = new double[] { + 1.2, 0.3, 5.6, 5.5, 6.5, 7.6 + }; + + // Define bounds + blx = new double[nvar]; + bux = new double[nvar]; + blx[0] = 0.0; + bux[0] = 1.0; + blx[1] = -1.0; + bux[1] = infbnd; + blx[2] = -1.0; + bux[2] = infbnd; + blx[3] = -1.0; + bux[3] = infbnd; + blx[4] = -1.0; + bux[4] = 1.0; + blx[5] = -1.0; + bux[5] = 10.0; + E04RH e04rh = new E04RH(); + e04rh.eval(handle, nvar, blx, bux, ifail); + + // Call the solver + ifail = -1; + E04GG e04gg = new E04GG(); + LSQFUN lsqfun = new LSQFUN(); + LSQGRD lsqgrd = new LSQGRD(); + LSQHES lsqhes = new LSQHES(); + LSQHPRD lsqhprd = new LSQHPRD(); + MONIT monit = new MONIT(); + + e04gg.eval(handle,lsqfun,lsqgrd,lsqhes,lsqhprd,monit,nvar,x,nres,rx,rinfo,stats,iuser,ruser,cpuser,ifail); + ifail = e04gg.getIFAIL(); + + // Recover latest iterate from handle if available + if (ifail == 0) { + ifail = -1; + E04RX e04rx = new E04RX(); + e04rx.eval(handle,"X",1,nvar,z,ifail); + ifail = e04rx.getIFAIL(); + if (ifail == 0) { + System.out.println("\nSolver stored solution iterate in the handle"); + System.out.print("X: "); + for (int i = 0; i < nvar; i++){ + System.out.printf("%8.2E ", z[i]); + } + System.out.println(); + } + } + + // Free the handle memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + + } + + public static class LSQFUN extends E04GG.Abstract_E04GG_LSQFUN { + + public void eval() { + for (int i = 0; i < this.NRES; i++){ + this.RX[i] = 0.0; + } + + for (int i = 0; i < this.NRES; i++){ + this.RX[i] = this.RUSER[this.NRES + i] - this.X[0] * Math.exp(-this.X[1] * this.RUSER[i]) - + this.X[2] * Math.exp(-this.X[3] * this.RUSER[i]) - this.X[4] * Math.exp(-this.X[5] * this.RUSER[i]); + } + + this.INFORM = 0; + } + } + + public static class LSQGRD extends E04GG.Abstract_E04GG_LSQGRD { + + public void eval() { + int i; + + for (i = 0; i < this.RDX.length; i++) { + this.RDX[i] = 0; + } + + for (i = 0; i < this.NRES; i++) { + this.RDX[i * this.NVAR + 0] = -Math.exp(-this.X[1] * this.RUSER[i]); + this.RDX[i * this.NVAR + 1] = this.RUSER[i] * this.X[0] * Math.exp(-this.X[1] * this.RUSER[i]); + this.RDX[i * this.NVAR + 2] = -Math.exp(-this.X[3] * this.RUSER[i]); + this.RDX[i * this.NVAR + 3] = this.RUSER[i] * this.X[2] * Math.exp(-this.X[3] * this.RUSER[i]); + this.RDX[i * this.NVAR + 4] = -Math.exp(-this.X[5] * this.RUSER[i]); + this.RDX[i * this.NVAR + 5] = this.RUSER[i] * this.X[4] * Math.exp(-this.X[5] * this.RUSER[i]); + } + + this.INFORM = 0; + } + } + + public static class LSQHES extends E04GG.Abstract_E04GG_LSQHES { + + public void eval() { + for (int i = 0; i < this.NVAR * this.NVAR; i++) { + this.HX[i] = 0.0; + } + + double sum21 = 0.0, sum22 = 0.0, sum43 = 0.0, sum44 = 0.0, sum65 = 0.0, sum66 = 0.0; + + for (int i = 0; i < this.NRES; i++){ + sum21 = sum21 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[1] * this.RUSER[i])); + sum22 = sum22 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[0] * Math.exp(-this.X[1] * this.RUSER[i])); + sum43 = sum43 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[3] * this.RUSER[i])); + sum44 = sum44 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[2] * Math.exp(-this.X[3] * this.RUSER[i])); + sum65 = sum65 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[5] * this.RUSER[i])); + sum66 = sum66 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[4] * Math.exp(-this.X[5] * this.RUSER[i])); + } + + this.HX[(2-1) + (1-1) * this.NVAR] = sum21; + this.HX[(1-1) + (2-1) * this.NVAR] = this.HX[(2-1) + (1-1) * this.NVAR]; + this.HX[(2-1) + (2-1) * this.NVAR] = sum22; + this.HX[(4-1) + (3-1) * this.NVAR] = sum43; + this.HX[(3-1) + (4-1) * this.NVAR] = this.HX[(4-1) + (3-1) * this.NVAR]; + this.HX[(4-1) + (4-1) * this.NVAR] = sum44; + this.HX[(6-1) + (5-1) * this.NVAR] = sum65; + this.HX[(5-1) + (6-1) * this.NVAR] = this.HX[(6-1) + (5-1) * this.NVAR]; + this.HX[(6-1) + (6-1) * this.NVAR] = sum66; + + this.INFORM = 0; + } + } + + public static class MONIT extends E04GG.Abstract_E04GG_MONIT { + + public void eval() { + E04FFU e04ffu = new E04FFU(); + e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, + this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ffu.getINFORM(); + } + } + + public static class LSQHPRD extends E04GG.Abstract_E04GG_LSQHPRD { + + public void eval() { + E04GGV e04ggv = new E04GGV(); + e04ggv.eval(this.NVAR, this.X, this.Y, this.NRES, this.HXY, + this.INFORM, this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ggv.getINFORM(); + } + } + +} diff --git a/simple_examples/int32/E04MTJE.java b/simple_examples/int32/E04MTJE.java new file mode 100644 index 0000000..6272e91 --- /dev/null +++ b/simple_examples/int32/E04MTJE.java @@ -0,0 +1,132 @@ +import com.nag.routines.E04.E04MT; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RF; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RJ; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04ZM; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.Arrays; + +/** + * E04MT example program text. + */ +public class E04MTJE { + + public static void main(String[] args) throws IOException { + + System.out.println(" E04MTJ Example Program Results"); + int m = 7; + int n = 7; + int nnza = 41; + int nnzc = 7; + int nnzu = 2*n + 2*m; + + int[] cindex = {1,2,3,4,5,6,7}; + double[] c = {-0.02,-0.20,-0.20,-0.20,-0.20, 0.04, 0.04}; + int[] irowa = {1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3, + 4,4,4,4,4,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7}; + int[] icola = {1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,4,5,6, + 1,2,3,4,5,1,2,5,1,2,3,4,5,6,1,2,3,4,5,6,7}; + double[] a = {1.00, 1.00, 1.00, 1.00, 1.00, 1.00, 1.00, + 0.15, 0.04, 0.02, 0.04, 0.02, 0.01, 0.03, + 0.03, 0.05, 0.08, 0.02, 0.06, 0.01,0.02, + 0.04, 0.01, 0.02, 0.02,0.02, 0.03, 0.01,0.70, + 0.75, 0.80, 0.75, 0.80, 0.97,0.02, 0.06, 0.08, + 0.12, 0.02, 0.01, 0.97}; + double[] bla = {-0.13,-1.0e20,-1.0e20,-1.0e20,-1.0e20, + -0.0992,-0.003}; + double[] bua = {-0.13,-0.0049,-0.0064,-0.0037,-0.0012, + 1.0e20, 0.002}; + double[] xl = {-0.01,-0.1,-0.01,-0.04,-0.1,-0.01,-0.01}; + double[] xu = {0.01,0.15,0.03,0.02,0.05,1.0e20,1.0e20}; + double[] dArrData = new double[nnza+2*m+3*n+nnzc+nnzu]; + + long handle = 0; + int ifail = 0; + E04RA e04ra = new E04RA(handle,n,ifail); + e04ra.eval(); + + handle = e04ra.getHANDLE(); + + int[] icolh = new int[1]; + int[] irowh = new int[1]; + double[] h = new double[1]; + E04RF e04rf = new E04RF(handle,nnzc,cindex,c,0,irowh,icolh,h,ifail); + e04rf.eval(); + handle = e04ra.getHANDLE(); + + E04RH e04rh = new E04RH(handle,n,xl,xu,ifail); + e04rh.eval(); + handle = e04rh.getHANDLE(); + + int idlc = 0; + E04RJ e04rj = new E04RJ(handle,m,bla,bua,nnza,irowa,icola,a,idlc,ifail); + e04rj.eval(); + handle = e04rj.getHANDLE(); + + E04ZM e04zm = new E04ZM(handle,"LPIPM Monitor Frequency = 1",ifail); + e04zm.eval(); + e04zm.setOPTSTR("LPIPM Stop Tolerance = 1.0e-10"); + e04zm.eval(); + e04zm.setOPTSTR("Print Solution = YES"); + e04zm.eval(); + e04zm.setOPTSTR("Print Options = NO"); + e04zm.eval(); + e04zm.setOPTSTR("LPIPM Centrality Correctors = -6"); + e04zm.eval(); + handle = e04zm.getHANDLE(); + + long cpuser = 2; + int[] iuser = {1}; + double[] ruser = new double[1]; + ifail = -1; + MONIT monit = new MONIT(); + double[] x = new double[n], u = new double[nnzu]; + double[] rinfo = new double[100], stats = new double[100]; + System.out.println(); + System.out.println("++++++++++ Use the Primal-Dual algorithm ++++++++++"); + E04MT e04mt = new E04MT(handle,n,x,nnzu,u,rinfo,stats, + monit,iuser,ruser,cpuser,ifail); + e04mt.eval(); + System.out.println(); + System.out.println("++++++++++ Use the Self-Dual algorithm ++++++++++"); + e04zm.setOPTSTR("LPIPM Algorithm = Self-Dual"); + e04zm.eval(); + e04zm.setOPTSTR("LPIPM Stop Tolerance 2 = 1.0e-11"); + e04zm.eval(); + iuser[0] = 2; + e04mt.setIFAIL(-1); + e04mt.setHANDLE(e04zm.getHANDLE()); + e04mt.setIUSER(iuser); + e04mt.eval(); + + } + + public static class MONIT extends E04MT.Abstract_E04MT_MONIT { + + public void eval() { + + double tol = 1.2e-8; + + if (IUSER[0] == 1) { + if ((RINFO[4] < tol) && (RINFO[5] < tol) && (RINFO[6] < tol)) { + System.out.println("Iteration " + Integer.toString((int)STATS[0])); + System.out.printf(" monit() reports good approximate solution (tol = %5.2E):\n", tol); + } + } + else { + if ((RINFO[14] < tol) && (RINFO[15] < tol) && (RINFO[16] < tol) && (RINFO[17] < tol)) { + System.out.println("Iteration " + Integer.toString((int)STATS[0])); + System.out.printf(" monit() reports good approximate solution (tol = %5.2E):\n", tol); + } + } + + } + + } + +} diff --git a/simple_examples/int32/E04MXJE.java b/simple_examples/int32/E04MXJE.java new file mode 100644 index 0000000..642a933 --- /dev/null +++ b/simple_examples/int32/E04MXJE.java @@ -0,0 +1,292 @@ +import com.nag.routines.E04.E04MX; +import com.nag.routines.E04.E04NP; +import com.nag.routines.E04.E04NQ; +import com.nag.routines.E04.E04NS; +import com.nag.routines.E04.E04NT; +import com.nag.routines.X04.X04AC; +import com.nag.routines.X04.X04AD; +import java.util.Arrays; + +/** + * E04MX example program text. + */ +public class E04MXJE { + + public static void main(String[] args) { + + /* Parameters */ + int lencw = 600, leniw = 600, lenrw = 600, mpslst = 1, nin = 7, nout = 6; + boolean readints = false; + String fname = args[0]; + /* Local Scalars */ + double obj, objadd, sinf; + int i, ifail, iobj, lenc, lintvar, m, maxlintvar, maxm, maxn, maxncolh, + maxnnz, maxnnzh, minmax, mode, n, ncolh, ninf, nname, nnz, nnzh, ns; + boolean verboseOutput; + String start; + /* Local Arrays */ + double[] a, bl, bu, c, h, pi, rc, ruser, rw, x; + int[] helast, hs, iccola, iccolh, intvar, irowa, irowh, iuser, iw; + String[] crname, cw; + String[] cuser = new String[1], pnames = new String[5]; + cuser[0] = " "; + for (int j = 0; j < 5; j++) { + pnames[j] = " "; + } + + System.out.println(" E04MXJ Example Program Results"); + + // Initialize + for (int j = 0; j < 5; j++) { + pnames[j] = " "; + } + maxm = 0; + maxn = 0; + maxnnz = 0; + maxnnzh = 0; + maxncolh = 0; + maxlintvar = 0; + + // Open the data file for reading + X04AC x04ac = new X04AC(); + mode = 0; + ifail = 0; + x04ac.eval(nin, fname, mode, ifail); + + // Prep call to E04MX in query mode + E04MX e04mx = new E04MX(); + a = new double[1]; + irowa = new int[1]; + iccola = new int[1]; + bl = new double[1]; + bu = new double[1]; + crname = new String[]{" "}; + h = new double[1]; + irowh = new int[1]; + iccolh = new int[1]; + intvar = new int[1]; + ifail = 0; + + // Placeholders for output only scalars + n = 0; + m = 0; + nnz = 0; + ncolh = 0; + nnzh = 0; + lintvar = 0; + iobj = 0; + nname = 0; + minmax = 0; + + // Make call to E04MX + e04mx.eval(nin, maxn, maxm, maxnnz, maxncolh, maxnnzh, maxlintvar, + mpslst, n, m, nnz, ncolh, nnzh, lintvar, iobj, a, irowa, + iccola, bl, bu, pnames, nname, crname, h, irowh, iccolh, + minmax, intvar, ifail); + + // Get output scalar values + n = e04mx.getN(); + m = e04mx.getM(); + nnz = e04mx.getNNZ(); + ncolh = e04mx.getNCOLH(); + nnzh = e04mx.getNNZH(); + lintvar = e04mx.getLINTVAR(); + iobj = e04mx.getIOBJ(); + nname = e04mx.getNNAME(); + minmax = e04mx.getMINMAX(); + ifail = e04mx.getIFAIL(); + + // Close file + X04AD x04ad = new X04AD(); + ifail = 0; + x04ad.eval(nin, ifail); + + // Set maxm, maxn and maxnnz + maxm = m; + maxn = n; + maxnnz = nnz; + maxnnzh = nnzh; + maxncolh = ncolh; + maxlintvar = (readints) ? lintvar : 1; + + // Allocate memory + irowa = new int[maxnnz]; + iccola = new int[maxn + 1]; + a = new double[maxnnz]; + bl = new double[maxn + maxm]; + bu = new double[maxn + maxm]; + crname = new String[maxn + maxm]; + for (int j = 0; j < (maxn + maxm); j++) { + crname[j] = " "; + } + irowh = new int[maxnnzh]; + iccolh = new int[maxncolh + 1]; + h = new double[maxnnzh]; + intvar = new int[maxlintvar]; + + // Open the data file for reading + mode = 0; + ifail = 0; + x04ac.eval(nin, fname, mode, ifail); + + // Call E04MX to read the problem + ifail = 0; + e04mx.eval(nin, maxn, maxm, maxnnz, maxncolh, maxnnzh, maxlintvar, + mpslst, n, m, nnz, ncolh, nnzh, lintvar, iobj, a, irowa, + iccola, bl, bu, pnames, nname, crname, h, irowh, iccolh, + minmax, intvar, ifail); + n = e04mx.getN(); + m = e04mx.getM(); + nnz = e04mx.getNNZ(); + ncolh = e04mx.getNCOLH(); + nnzh = e04mx.getNNZH(); + lintvar = e04mx.getLINTVAR(); + iobj = e04mx.getIOBJ(); + nname = e04mx.getNNAME(); + minmax = e04mx.getMINMAX(); + ifail = e04mx.getIFAIL(); + + // Close the data file + ifail = 0; + x04ad.eval(nin, ifail); + + /* Data has been read. Set up and run the solver */ + + iw = new int[leniw]; + rw = new double[lenrw]; + cw = new String[lencw]; + for (int j = 0; j < lencw; j++) { + cw[j] = " "; + } + + // Call E04NP to initialize workspace + E04NP e04np = new E04NP(); + ifail = 0; + e04np.eval(cw, lencw, iw, leniw, rw, lenrw, ifail); + + // Call option setter E04NS to change the direction of optimization. + // Minimization is assumed by default. + E04NS e04ns = new E04NS(); + if (minmax == 1) { + ifail = 0; + e04ns.eval("Maximize", cw, iw, rw, ifail); + } + else if (minmax == 0) { + ifail = 0; + e04ns.eval("Feasible Point", cw, iw, rw, ifail); + } + + // Set this to TRUE to cause E04NQ to produce intermediate progress output + verboseOutput = false; + + if (verboseOutput) { + // By default E04NQ does not print monitoring information. Set the print + // file unit or the summary file unit to get information. + E04NT e04nt = new E04NT(); + ifail = 0; + e04nt.eval("Print file", nout, cw, iw, rw, ifail); + } + else { + System.out.printf(" \n Problem contains %3d variables and %3d linear constraints\n", n, m); + } + + // We have no explicit objective vector so set LENC = 0; the objective vector + // is stored in row IOBJ of ACOL. + lenc = 0; + objadd = 0.0; + start = "C"; + + c = new double[Math.max(1, lenc)]; + helast = new int[n + m]; + x = new double[n + m]; + pi = new double[m]; + rc = new double[n + m]; + hs = new int[n + m]; + iuser = new int[ncolh + 1 + nnzh]; + ruser = new double[nnzh]; + + if (ncolh > 0) { + // Store the non zeros of H in ruser for use by qphx + for (int j = 0; j < nnzh; j++) { + ruser[j] = h[j]; + } + // Store iccolh and irowh in iuser for use by qphx + for (int j = 0; j < ncolh + 1; j++) { + iuser[j] = iccolh[j]; + } + for (int j = 0; j < nnzh; j++) { + iuser[j + ncolh + 1] = irowh[j]; + } + + } + + // Call E04NQ to solve the problem + E04NQ e04nq = new E04NQ(); + QPHX qphx = new QPHX(); + ns = 0; + ninf = 0; + sinf = 0.0; + obj = 0.0; + ifail = 0; + e04nq.eval(start, qphx, m, n, nnz, nname, lenc, ncolh, iobj, objadd, + pnames[0], a, irowa, iccola, bl, bu, c, crname, helast, hs, + x, pi, rc, ns, ninf, sinf, obj, cw, lencw, iw, leniw, rw, + lenrw,cuser,iuser,ruser,ifail); + ns = e04nq.getNS(); + ninf = e04nq.getNINF(); + sinf = e04nq.getSINF(); + obj = e04nq.getOBJ(); + ifail = e04nq.getIFAIL(); + + if (!verboseOutput) { + System.out.println(); + System.out.printf(" Final objective value = %11.3E\n", obj); + System.out.printf(" Optimal X = \n"); + System.out.printf(" "); + for (int j = 0; j < n; j++) { + System.out.printf("%9.2f", x[j]); + } + System.out.printf("\n"); + } + + } + + public static class QPHX extends E04NQ.Abstract_E04NQ_QPHX { + + /** + * Subroutine to compute H*x. + * Note: IUSER and RUSER contain the following data: + * RUSER(1:NNZH) = H(1:NNZH) + * IUSER(1:NCOLH+1) = ICCOLH(1:NCOLH+1) + * IUSER(NCOLH+2:NNZH+NCOLH+1) = IROWH(1:NNZH) + */ + public void eval() { + /* Local Scalars */ + int end, icol, idx, irow, start; + + Arrays.fill(HX, 0.0); + + for (icol = 0; icol < this.NCOLH + 1; ++icol) { + + start = this.IUSER[icol] - 1; + end = IUSER[icol+1] - 2; + + for (idx = start; idx < end + 1; ++idx) { + + irow = this.IUSER[this.NCOLH + 1 + idx] - 1; + this.HX[irow] += this.X[icol] * this.RUSER[idx]; + + if (irow != icol) { + this.HX[icol] += this.X[irow] * this.RUSER[idx]; + } + + } + + } + + } + + } + + +} diff --git a/simple_examples/int32/E04NCJE.java b/simple_examples/int32/E04NCJE.java new file mode 100644 index 0000000..d6c3010 --- /dev/null +++ b/simple_examples/int32/E04NCJE.java @@ -0,0 +1,246 @@ +import static java.lang.Math.max; + +import com.nag.routines.E04.E04NC; +import com.nag.routines.E04.E04WB; +import com.nag.routines.F06.DGEMV; +import java.io.BufferedReader; +import java.io.FileReader; +import java.text.NumberFormat; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * E04NC example program text. + * @author ludovic + */ +public class E04NCJE { + + public static void main(String[] args) { + + double one = 1.0; + double zero = 0.0; + int inc1 = 1, lcwsav = 1, liwsav = 610, + llwsav = 120, lrwsav = 475, nin = 5, + nout = 6; + double obj; + int i, ifail, iter, lda, ldc, liwork, + lwork, m, n, nclin, sdc; + double[] a, b, bl, bu, c, + clamda, cvec, work, x; + double[] rwsav = new double[lrwsav]; + int[] istate, iwork, kx; + int[] iwsav = new int[liwsav]; + boolean[] lwsav = new boolean[llwsav]; + String[] cwsav = new String[lcwsav]; + + System.out.println(" E04NCJ Example Program Results"); + try { + + BufferedReader br = new BufferedReader(new FileReader(args[0])); + String line = br.readLine(); // read the header + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + String[] data = line.split("\\s+"); + m = Integer.parseInt(data[0]); + n = Integer.parseInt(data[1]); + nclin = Integer.parseInt(data[2]); + + liwork = n; + ldc = max(1,nclin); + lda = max(1,m); + + if (nclin > 0) { + sdc = n; + } + else { + sdc = 1; + } + + /* This particular example problem is of type LS1, so we allocate + * A(LDA,N), CVEC(1), B(M) and define LWORK as below + */ + if (nclin > 0) { + lwork = 2*n*n + 9*n + 6*nclin; + } + else { + lwork = 9*n; + } + + /* + * 2Ds arrays (size [n,m]) are stored in 1D arrays of size n*m, ordered by column + * ie: + * 1 1 1 + * 2 2 2 + * 3 3 3 + * + * is stored [1,2,3,1,2,3,1,2,3] + */ + istate = new int[n+nclin]; + kx = new int[n]; + iwork = new int[liwork]; + c = new double[ldc*sdc]; + bl = new double[n+nclin]; + bu = new double[n+nclin]; + cvec = new double[1]; + x = new double[n]; + a = new double[lda * n]; + b = new double[m]; + clamda = new double[n+nclin]; + work = new double[lwork]; + + /* + * Extra arrays to initialize: + */ + for (int ii = 0; ii < cwsav.length; ++ii) { + // 80 characters long... + cwsav[ii] + = " "; + } + + for (int ii = 0; ii < lda; ++ii) { + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int jj = 0; jj < n; ++jj) { + a[lda*jj+ii] = Double.parseDouble(data[jj]); + } + } + + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + + for (int ii = 0; ii < m; ++ii) { + b[ii] = Double.parseDouble(data[ii]); + } + + for (int ii = 0; ii < ldc; ++ii) { + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int jj = 0; jj < sdc; ++jj) { + c[ldc*jj+ii] = Double.parseDouble(data[jj]); + } + } + + //bl and bu to complicated to read properly -> hardcoded + line = br.readLine(); + line = br.readLine(); + bl[0] = 0.0; + bl[1] = 0.0; + bl[2] = -1.0E+25; + bl[3] = 0.0; + bl[4] = 0.0; + bl[5] = 0.0; + bl[6] = 0.0; + bl[7] = 0.0; + bl[8] = 0.0; + bl[9] = 2.0; + bl[10] = -1.0E+25; + bl[11] = 1.0; + + line = br.readLine(); + line = br.readLine(); + bu[0] = 2.0; + bu[1] = 2.0; + bu[2] = 2.0; + bu[3] = 2.0; + bu[4] = 2.0; + bu[5] = 2.0; + bu[6] = 2.0; + bu[7] = 2.0; + bu[8] = 2.0; + bu[9] = 1.0E+25; + bu[10] = 2.0; + bu[11] = 4.0; + + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int ii = 0; ii < n; ++ii) { + x[ii] = Double.parseDouble(data[ii]); + } + + // CALL TO E04WBF + ifail = 0; + String routname = "E04NCA"; + E04WB e04wb = new E04WB(routname, cwsav, lcwsav, lwsav, llwsav, iwsav, liwsav, rwsav, + lrwsav, ifail); + e04wb.eval(); + cwsav = e04wb.getCWSAV(); + iwsav = e04wb.getIWSAV(); + lwsav = e04wb.getLWSAV(); + rwsav = e04wb.getRWSAV(); + + // CALL TO E04NCF + ifail = -1; + + /* Java needs these to be initialized, so set it to an impossible value + * to trap possible error later */ + iter = Integer.MIN_VALUE; + obj = Double.NaN; + + E04NC e04nc = new E04NC(m,n,nclin,ldc,lda,c,bl,bu,cvec,istate,kx,x,a,b,iter,obj, + clamda,iwork,liwork,work,lwork,lwsav,iwsav,rwsav,ifail); + e04nc.eval(); + + // Getting ifail's value back + ifail = e04nc.getIFAIL(); + + switch (ifail) { + case 0: + case 1: + case 2: + case 3: + case 4: + case 5: + case 7: + System.out.println("\n Varbl Istate Value Lagr Mult\n"); + + for (i = 0; i < n; ++i) { + System.out.printf(" V %3d %3d %14.3E %12.3E\n",(i+1), istate[i],x[i], clamda[i]); + } + + if (nclin > 0) { + DGEMV dgemv = new DGEMV(); + dgemv.eval("N",nclin,n,one,c,ldc,x,inc1,zero,work,inc1); + System.out.println("\n\n L Con Istate Value Lagr Mult\n"); + for (int ii = 0; ii < nclin; ++ii) { + System.out.printf(" L %3d %3d %14.3E %12.3E\n", + ii+1,istate[ii+n],work[ii],clamda[ii+n]); + } + } + + System.out.printf("\n\n Final objective value = %15.3E\n",e04nc.getOBJ()); + break; + default: + if (ifail > 7) { + System.out.println(" Varbl Istate Value Lagr Mult"); + for (i = 0; i < n; ++i) { + System.out.printf(" V %3d %3d %14.3E %12.3E)\n",(i+1), istate[i],x[i], clamda[i]); + } + + if (nclin > 0) { + DGEMV dgemv = new DGEMV(); + dgemv.eval("N",nclin,n,one,c,ldc,x,inc1,zero,work,inc1); + System.out.println(" L Con Istate Value Lagr Mult"); + for (int ii = 0; ii < nclin; ++ii) { + System.out.printf(" L %3d %3d %14.3E %12.3E\n", + ii+1,istate[ii+n],work[ii],clamda[ii+n]); + } + } + + System.out.printf("Final objective value is: %15.7f\n",e04nc.getOBJ()); + } + else { + System.out.println("E04NC returned with IFAIL = "+e04nc.getIFAIL()); + } + } + } + catch (Exception ex) { + Logger.getLogger(E04NCJE.class.getName()).log(Level.SEVERE, null, ex); + } + + } + +} diff --git a/simple_examples/int32/E04NFJE.java b/simple_examples/int32/E04NFJE.java new file mode 100644 index 0000000..e341f9f --- /dev/null +++ b/simple_examples/int32/E04NFJE.java @@ -0,0 +1,234 @@ +import com.nag.routines.E04.E04NF; +import com.nag.routines.E04.E04NH; +import com.nag.routines.E04.E04WB; +import com.nag.routines.E04.E54NFU; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.text.NumberFormat; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * E04NF example program text. + */ +public class E04NFJE { + + public static void main(String[] args) { + + /* Local Scalars */ + double obj; + int i, ifail, iter, lda, ldh, liwork, lwork, n, nclin, sda; + /* Local Arrays */ + double[] a, ax, bl, bu, clamda, cvec, h, work, x; + int[] istate, iwork; + + try { + + System.out.println(" E04NFJ Example Program Results"); + + if (args.length == 0) { + System.err.println("You need to provide the path to the data file e04nfae.d"); + System.exit(-1); + } + + // Read data from file + DataFile datafile = new DataFile(args[0]); + datafile.read(); + + liwork = 2 * datafile.n + 3; + lda = Math.max(1, datafile.nclin); + + sda = (datafile.nclin > 0) ? datafile.n : 1; + + // This particular example problem is of type QP2 with H stored explicitly, + // so we allocate CVEC(N) and H(LDH,N), and define LDH and LWORK as below + ldh = datafile.n; + + if (datafile.nclin > 0) { + lwork = 2 * datafile.n * datafile.n + 8 * datafile.n + 5 * datafile.nclin; + } + else { + lwork = datafile.n * datafile.n + 8 * datafile.n; + } + + istate = new int[datafile.n + datafile.nclin]; + ax = new double[Math.max(1, datafile.nclin)]; + iwork = new int[liwork]; + // h, bl, bu, cvec, x, a: already read from data file + clamda = new double[datafile.n + datafile.nclin]; + work = new double[lwork]; + + // Init routine + E04WB e04wb = new E04WB(); + int lcwsav = 1, liwsav = 610, llwsav = 120, lrwsav = 475; + String[] cwsav = new String[lcwsav]; + cwsav[0] + = " "; + int[] iwsav = new int[liwsav]; + boolean[] lwsav = new boolean[llwsav]; + double[] rwsav = new double[lrwsav]; + ifail = 0; + e04wb.eval("E04NFA", cwsav, lcwsav, lwsav, llwsav, iwsav, liwsav, rwsav, lrwsav, ifail); + + // Set print level to match E04NFF example output + E04NH e04nh = new E04NH(); + int inform = 0; + e04nh.eval("Print Level = 10", lwsav, iwsav, rwsav, inform); + + // Solve the problem + E04NF e04nf = new E04NF(); + double[] ruser = new double[1]; + int[] iuser = new int[1]; + iter = 0; + obj = Double.NaN; + ifail = 0; + e04nf.eval(datafile.n, datafile.nclin, datafile.a, datafile.lda, datafile.bl, + datafile.bu, datafile.cvec, datafile.h, datafile.ldh, new QPHESS(), istate, + datafile.x, iter, obj, ax, clamda, iwork, liwork, work, lwork, + iuser, ruser, lwsav, iwsav, rwsav, ifail); + + ifail = e04nf.getIFAIL(); + + } + catch (Exception ex) { + Logger.getLogger(E04NFJE.class.getName()).log(Level.SEVERE, null, ex); + } + + } + + /** Using E54NFU as a default. */ + public static class QPHESS extends E54NFU implements E04NF.E04NF_QPHESS { + + public void eval() { + super.eval(); + } + + } + + public static class DataFile { + + public String filename; + public int n, nclin, lda, sda, ldh; + public double[] cvec, a, bl, bu, x, h; + + public DataFile(String filename) { + this.filename = filename; + } + + public void read() throws FileNotFoundException, IOException { + BufferedReader dataIn = new BufferedReader(new FileReader(filename)); + String line = dataIn.readLine(); // skipping header + line = dataIn.readLine().trim(); + String[] lines = line.split(":");//removing comments + String[] dataLine = lines[0].split("\\s+"); + if (dataLine.length != 2) { + System.err.println("Something went wrong when reading the data file" + + " - can't read n and nclin!"); + System.exit(1); + } + n = Integer.parseInt(dataLine[0]); + nclin = Integer.parseInt(dataLine[1]); + + lda = Math.max(1, nclin); + + if (nclin > 0) { + sda = n; + } + else { + sda = 1; + } + ldh = n; + + cvec = new double[n]; + a = new double[lda * sda]; + bl = new double[n + nclin]; + bu = new double[n + nclin]; + x = new double[n]; + h = new double[ldh * n]; + + //reading cvec + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for cvec"); + System.exit(1); + } + + for (int i = 0; i < n; ++i) { + cvec[i] = Double.parseDouble(dataLine[i].trim().replaceAll("D", "E")); + } + + //reading a + for (int i = 0; i < lda; ++i) { + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != sda) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for a"); + System.exit(1); + } + for (int j = 0; j < sda; ++j) { + a[i + j * lda] = Double.parseDouble(dataLine[j].trim().replaceAll("D", "E")); + } + } + + //reading bl + //it's on two lines in the data file, so we need to merge them + line = dataIn.readLine().trim().split(":")[0].trim() + " " + + dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n + nclin) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for bl"); + System.exit(1); + } + for (int i = 0; i < n + nclin; ++i) { + bl[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + //reading bu + //it's on two lines in the data file, so we need to merge them + line = dataIn.readLine().trim().split(":")[0].trim() + " " + + dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n + nclin) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for bu"); + System.exit(1); + } + for (int i = 0; i < n + nclin; ++i) { + bu[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for x"); + System.exit(1); + } + for (int i = 0; i < n; ++i) { + x[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + for (int i = 0; i < ldh; ++i) { + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for h at line " + i); + System.exit(1); + } + for (int j = 0; j < n; ++j) { + h[i + j * ldh] = Double.parseDouble(dataLine[j].replaceAll("D", "E")); + } + } + + + } + } + +} diff --git a/simple_examples/int32/E04NKJE.java b/simple_examples/int32/E04NKJE.java new file mode 100644 index 0000000..604ee66 --- /dev/null +++ b/simple_examples/int32/E04NKJE.java @@ -0,0 +1,295 @@ +import com.nag.routines.E04.E04NK; +import com.nag.routines.E04.E04WB; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * E04NKJ Example Program Text + * @author willa + * @since 27.1.0.0 + */ +public class E04NKJE{ + private static int lcwsav = 1; + private static int liwsav = 380; + private static int llwsav = 20; + private static int lrwsav = 285; + + /** + * E04NKJ Example main program. + */ + public static void main(String[] args){ + double obj, sinf; + int icol, ifail, iobj, jcol, leniz, lenz, m, miniz, minz, n, ncolh, ninf, nname, nnz, ns, i; + String start; + double[] a, bl, bu, clamda, xs, z, ruser, rwsav; + int[] ha, istate, iz, ka, iuser, iwsav; + boolean[] lwsav; + String[] crname, cwsav, names; + + System.out.println("E04NKJ Example Program Results"); + + ruser = new double[1]; + rwsav = new double[lrwsav]; + iuser = new int[1]; + iwsav = new int[liwsav]; + + cwsav = new String[lcwsav]; + //equivalent to ```Character (80) :: cwsav(lcwsav)``` + for(i = 0; i < lcwsav; i++){ + char[] chars = new char[80]; + Arrays.fill(chars, ' '); + cwsav[i] = new String(chars); + } + names = new String[5]; + //names all blank anyway this time + for(i = 0; i < 5; i++){ + char[] chars = new char[8]; + Arrays.fill(chars, ' '); + names[i] = new String(chars); + } + + //dummy arrays + crname = new String[0]; + + n = 7; + m = 8; + nnz = 48; + iobj = 8; + ncolh = 7; + start = "C"; + nname = 15; + + ha = new int[nnz]; + ka = new int[n + 1]; + istate = new int[n + m]; + a = new double[nnz]; + bl = new double[n + m]; + bu = new double[n + m]; + xs = new double[n + m]; + clamda = new double[n + m]; + crname = new String[nname]; + lwsav = new boolean[llwsav]; + + names[0] = " "; + names[1] = " "; + names[2] = " "; + names[3] = " "; + names[4] = " "; + + crname[0] = "...X1..."; + crname[1] = "...X2..."; + crname[2] = "...X3..."; + crname[3] = "...X4..."; + crname[4] = "...X5..."; + crname[5] = "...X6..."; + crname[6] = "...X7..."; + crname[7] = "..ROW1.."; + crname[8] = "..ROW2.."; + crname[9] = "..ROW3.."; + crname[10] = "..ROW4.."; + crname[11] = "..ROW5.."; + crname[12] = "..ROW6.."; + crname[13] = "..ROW7.."; + crname[14] = "..COST.."; + + //Matrix A. Set up KA + jcol = 1; + ka[0] = 1; + + a[0] = 0.02; ha[0] = 7; + a[1] = 0.02; ha[1] = 5; + a[2] = 0.03; ha[2] = 3; + a[3] = 1.00; ha[3] = 1; + a[4] = 0.70; ha[4] = 6; + a[5] = 0.02; ha[5] = 4; + a[6] = 0.15; ha[6] = 2; + a[7] = -200.00; ha[7] = 8; + a[8] = 0.06; ha[8] = 7; + a[9] = 0.75; ha[9] = 6; + a[10] = 0.03; ha[10] = 5; + a[11] = 0.04; ha[11] = 4; + a[12] = 0.05; ha[12] = 3; + a[13] = 0.04; ha[13] = 2; + a[14] = 1.00; ha[14] = 1; + a[15] = -2000.00; ha[15] = 8; + a[16] = 0.02; ha[16] = 2; + a[17] = 1.00; ha[17] = 1; + a[18] = 0.01; ha[18] = 4; + a[19] = 0.08; ha[19] = 3; + a[20] = 0.08; ha[20] = 7; + a[21] = 0.80; ha[21] = 6; + a[22] = -2000.00; ha[22] = 8; + a[23] = 1.00; ha[23] = 1; + a[24] = 0.12; ha[24] = 7; + a[25] = 0.02; ha[25] = 3; + a[26] = 0.02; ha[26] = 4; + a[27] = 0.75; ha[27] = 6; + a[28] = 0.04; ha[28] = 2; + a[29] = -2000.00; ha[29] = 8; + a[30] = 0.01; ha[30] = 5; + a[31] = 0.80; ha[31] = 6; + a[32] = 0.02; ha[32] = 7; + a[33] = 1.00; ha[33] = 1; + a[34] = 0.02; ha[34] = 2; + a[35] = 0.06; ha[35] = 3; + a[36] = 0.02; ha[36] = 4; + a[37] = -2000.00; ha[37] = 8; + a[38] = 1.00; ha[38] = 1; + a[39] = 0.01; ha[39] = 2; + a[40] = 0.01; ha[40] = 3; + a[41] = 0.97; ha[41] = 6; + a[42] = 0.01; ha[42] = 7; + a[43] = 400.00; ha[43] = 8; + a[44] = 0.97; ha[44] = 7; + a[45] = 0.03; ha[45] = 2; + a[46] = 1.00; ha[46] = 1; + a[47] = 400.00; ha[47] = 8; + + ka[1] = 9; + ka[2] = 17; + ka[3] = 24; + ka[4] = 31; + ka[5] = 39; + ka[6] = 45; + ka[7] = 49; + + bl[0] = 0.0; + bl[1] = 0.0; + bl[2] = 4.0e2; + bl[3] = 1.0e2; + bl[4] = 0.0; + bl[5] = 0.0; + bl[6] = 0.0; + bl[7] = 2.0e3; + bl[8] = -1.0e25; + bl[9] = -1.0e25; + bl[10] = -1.0e25; + bl[11] = -1.0e25; + bl[12] = 1.5e3; + bl[13] = 2.5e2; + bl[14] = -1.0e25; + + bu[0] = 2.0e2; + bu[1] = 2.5e3; + bu[2] = 8.0e2; + bu[3] = 7.0e2; + bu[4] = 1.5e3; + bu[5] = 1.0e25; + bu[6] = 1.0e25; + bu[7] = 2.0e3; + bu[8] = 6.0e1; + bu[9] = 1.0e2; + bu[10] = 4.0e1; + bu[11] = 3.0e1; + bu[12] = 1.0e25; + bu[13] = 3.0e2; + bu[14] = 1.0e25; + + istate[0] = 0; + istate[1] = 0; + istate[2] = 0; + istate[3] = 0; + istate[4] = 0; + istate[5] = 0; + istate[6] = 0; + istate[7] = 0; + + xs[0] = 0.0; + xs[1] = 0.0; + xs[2] = 0.0; + xs[3] = 0.0; + xs[4] = 0.0; + xs[5] = 0.0; + xs[6] = 0.0; + xs[7] = 0.0; + + ifail = 0; + E04WB e04wb = new E04WB("E04NKA",cwsav,lcwsav,lwsav,llwsav,iwsav,liwsav,rwsav, + lrwsav,ifail); + e04wb.eval(); + + leniz = 1; + lenz = 1; + iz = new int[leniz]; + z = new double[lenz]; + + QPHX qphx = new QPHX(); + + ifail = 1; + + //placeholders + ns = 0; + miniz = 0; + minz = 0; + ninf = 0; + sinf = 0.0; + obj = 0.0; + + E04NK e04nk = new E04NK(n,m,nnz,iobj,ncolh,qphx,a,ha,ka,bl,bu,start,names,nname, + crname,ns,xs,istate,miniz,minz,ninf,sinf,obj,clamda,iz, + leniz,z,lenz,iuser,ruser,lwsav,iwsav,rwsav,ifail); + e04nk.eval(); + ifail = e04nk.getIFAIL(); + + minz = e04nk.getMINZ(); + miniz = e04nk.getMINIZ(); + + lenz = minz; + leniz = miniz; + + iz = new int[leniz]; + z = new double[lenz]; + + ifail = -1; + + e04nk.eval(n,m,nnz,iobj,ncolh,qphx,a,ha,ka,bl,bu,start,names,nname,crname,ns,xs, + istate,miniz,minz,ninf,sinf,obj,clamda,iz,leniz,z,lenz,iuser,ruser, + lwsav,iwsav,rwsav,ifail); + + //update + ifail = e04nk.getIFAIL(); + obj = e04nk.getOBJ(); + + if(ifail == 0){ + System.out.println(); + System.out.println("\tVariable Istate Value Lagr Mult"); + System.out.println(); + + for(i = 0; i < n; i++){ + System.out.printf("\t%s\t%d\t%.6g\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); + } + + if(m > 0){ + System.out.println(); + System.out.println(); + System.out.println("\tConstrnt Istate Value\t\t Lagr Mult"); + System.out.println(); + + for(i = n; i < n + m - 1; i++){ + System.out.printf("\t%s\t%d\t%.6g\t\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); + } + System.out.printf("\t%s\t%d\t%.6g\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); + } + + System.out.println(); + System.out.println(); + System.out.printf("Final objetive value = %15.7g\n", obj); + } + + } + + public static class QPHX extends E04NK.Abstract_E04NK_QPHX{ + public void eval(){ + this.HX[0] = 2 * this.X[0]; + this.HX[1] = 2 * this.X[1]; + this.HX[2] = 2 * (this.X[2] + this.X[3]); + this.HX[3] = this.HX[2]; + this.HX[4] = 2 * this.X[4]; + this.HX[5] = 2 * (this.X[5] + this.X[6]); + this.HX[6] = this.HX[5]; + } + } +} diff --git a/simple_examples/int32/E04NQJE.java b/simple_examples/int32/E04NQJE.java new file mode 100644 index 0000000..6cf84fe --- /dev/null +++ b/simple_examples/int32/E04NQJE.java @@ -0,0 +1,384 @@ +import com.nag.routines.E04.E04NP; +import com.nag.routines.E04.E04NQ; +import com.nag.routines.E04.E04NT; +import java.io.BufferedReader; +import java.io.File; +import java.io.FileReader; +import java.io.IOException; +import java.util.Arrays; + +/** + * E04NQ example program text. + */ +public class E04NQJE { + + public static final int LENCW = 600; + public static final int LENIW = 600; + public static final int LENRW = 600; + public static final int NIN = 5; + public static final int NOUT = 6; + + public static void main(String[] args) throws IOException { + + /* Local Scalars */ + double obj, objadd, sinf; + int i, icol, ifail, iobj, jcol, lenc, m, n, ncolh, ne, ninf, nname, ns; + boolean verboseOutput; + String prob; // Length = 8 + String start; // Length = 1 + /* Local Arrays */ + double[] acol, bl, bu, c, pi, rc, x; + double[] ruser = new double[1], rw = new double[LENRW]; + int[] helast, hs, inda, loca; + int[] iuser = new int[1], iw = new int[LENIW]; + String[] cuser = new String[1], cw = new String[LENCW]; // Length = 8 + String[] names; // Length = 8 + /* Init String arrays with same length*/ + Arrays.fill(cuser, " "); + Arrays.fill(cw, " "); + + System.out.println(" E04NQJ Example Program Results"); + + /* Read data file */ + + if (args.length != 1) { + usage(); + } + BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); + String line; + + // Skip heading in data file + line = dataIn.readLine(); + + // Read n, m + line = dataIn.readLine(); + String[] data = line.split(":")[0].trim().split("\\s+"); + if (data.length != 2) { + System.out.println("Data file badly formatted - expected 2 ints separated by blank spaces.\n" + + line + "\n"+Arrays.toString(data)); + System.exit(1); + } + n = Integer.parseInt(data[0]); + m = Integer.parseInt(data[1]); + + // Read ne, iobj, ncolh, start, nname + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + if (data.length != 5) { + System.out.println("Data file badly formatted - expected 5 ints separated by blank spaces"); + System.exit(1); + } + ne = Integer.parseInt(data[0]); + iobj = Integer.parseInt(data[1]); + ncolh = Integer.parseInt(data[2]); + start = data[3].replaceAll("'",""); + nname = Integer.parseInt(data[4]); + + // Allocate + inda = new int[ne]; + loca = new int[n+1]; + helast = new int[n+m]; + hs = new int[n+m]; + acol = new double[ne]; + bl = new double[n+m]; + bu = new double[n+m]; + x = new double[n+m]; + pi = new double[m]; + rc = new double[n+m]; + names = new String[nname]; + + // Read names + line = dataIn.readLine(); // skipping blank line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + int nameIndex = 0; + int dataIndex = 0; + while (nameIndex < nname) { + names[nameIndex] = data[dataIndex].replaceAll("'", ""); + ++nameIndex; + ++dataIndex; + if (nameIndex < nname && dataIndex == data.length) { + //need to read one more line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + dataIndex = 0; + } + } + + // Read matrix + line = dataIn.readLine(); // skipping blank line + int locaIndex = 0; + int currentCol = 0; + for (i = 0; i < ne; ++i) { + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + if (data.length != 3) { + System.out.println("The line is not well formatted for input of A:\n\t"+line); + System.exit(1); + } + acol[i] = Double.parseDouble(data[0].replaceAll("d", "e").replaceAll("D", "e")); + inda[i] = Integer.parseInt(data[1]); + if (i == 0) { + loca[locaIndex] = 1;//storing for Fortran use: 1-based + ++locaIndex; + ++currentCol; + } + else { + int tmp = Integer.parseInt(data[2]); + if (tmp != currentCol) { + loca[locaIndex] = i+1; + ++currentCol; + ++locaIndex; + } + } + } + loca[n] = ne + 1; + + // Read bl + line = dataIn.readLine(); // skipping blank line + int blindex = 0; + dataIndex = 0; + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + while (blindex < bl.length) { + bl[blindex] = Double.parseDouble(data[dataIndex].replaceAll("d", "e").replaceAll("D", "e")); + ++blindex; + ++dataIndex; + if (blindex < bl.length && dataIndex == data.length) { + //need to read one more line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + dataIndex = 0; + } + } + + // Read bu + line = dataIn.readLine(); // skipping blank line + int buindex = 0; + dataIndex = 0; + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + while (buindex < bu.length) { + bu[buindex] = Double.parseDouble(data[dataIndex].replaceAll("d", "e").replaceAll("D", "e")); + ++buindex; + ++dataIndex; + if (buindex < bu.length && dataIndex == data.length) { + //need to read one more line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + dataIndex = 0; + } + } + + // Read hs + line = dataIn.readLine(); // skipping blank line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + if (start.equalsIgnoreCase("C")) { + if (data.length != n) { + System.out.println("Wrong format for HS data.\n"); + System.exit(1); + } + } + else { + if (data.length != n+m) { + System.out.println("Wrong format for HS data.\n"); + System.exit(1); + } + } + for (i = 0; i < data.length; ++i) { + hs[i] = Integer.parseInt(data[i]); + } + + // Read x + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + if (data.length != n) { + System.out.println("Wrong format for X data."); + System.exit(1); + } + for (i = 0; i < data.length; ++i) { + x[i] = Double.parseDouble(data[i].replaceAll("d", "e").replaceAll("D", "e")); + } + + /* Done reading data file */ + + System.out.printf(" \n QP problem contains %3d variables and %3d linear constraints\n", n, m); + + /* Call E04NP to initialize E04NQ. */ + E04NP e04np = new E04NP(); + ifail = 0; + e04np.eval(cw,LENCW,iw,LENIW,rw,LENRW,ifail); + + /* Set this to .True. to cause e04nqf to produce intermediate + * progress output. */ + verboseOutput = true; + + if (verboseOutput) { + /* By default e04nqf does not print monitoring + * information. Set the print file unit or the summary + * file unit to get information. */ + E04NT e04nt = new E04NT(); + ifail = 0; + e04nt.eval("Print file", NOUT, cw, iw, rw, ifail); + } + + /* We have no explicit objective vector so set LENC = 0; the + * objective vector is stored in row IOBJ of ACOL. */ + lenc = 0; + c = new double[Math.max(1,lenc)]; + objadd = 0.0; + sinf = 0.0; + obj = Double.NaN; + prob = " "; + + /* Do not allow any elastic variables (i.e. they cannot be + * infeasible). If we'd set optional argument "Elastic mode" to 0, + * we wouldn't need to set the individual elements of array HELAST. */ + + for (int j = 0; j < (n+m); j++) { + helast[j] = 0; + } + + /* Solve the QP problem. */ + + E04NQ e04nq = new E04NQ(); + ifail = 0; + ns = 0; + ninf = 0; + e04nq.eval(start,new QPHX(ncolh),m,n,ne,nname,lenc,ncolh,iobj,objadd,prob,acol, + inda,loca,bl,bu,c,names,helast,hs,x,pi,rc,ns,ninf,sinf,obj,cw,LENCW, + iw,LENIW,rw,LENRW,cuser,iuser,ruser,ifail); + + System.out.println(); + System.out.printf(" Final objective value = %11.3E\n",e04nq.getOBJ()); + System.out.print(" Optimal X = "); + for (i = 0; i < n; ++i) { + System.out.printf("%9.2f ", x[i]); + } + System.out.println(); + + } + + private static void usage() { + System.out.println("Usage:\n" + + "\tjava -cp " + File.separator + "NAGJava.jar" + File.pathSeparator + + ". E04NQJE " + File.separator + "e04nqfe.d"); + System.exit(1); + } + + public static class QPHX implements E04NQ.E04NQ_QPHX { + + private int NCOLHREF; + + public QPHX(int NCOLHREF) { + this.NCOLHREF = NCOLHREF; + } + + // @Override + public void eval(int NCOLH, double[] X, double[] HX, int NSTATE, + String[] CUSER, int[] IUSER, double[] RUSER) { + + if (NCOLH != NCOLHREF) { + System.out.println("NCOLH value is wrong!"); + System.out.println("TEST FAILED"); + System.exit(1); + } + HX[0] = 2.0*X[0]; + HX[1] = 2.0*X[1]; + HX[2] = 2.0*(X[2]+X[3]); + HX[3] = HX[2]; + HX[4] = 2.0*X[4]; + HX[5] = 2.0*(X[5]+X[6]); + HX[6] = HX[5]; + + } + + private String[] CUSER; + private double[] HX,RUSER,X; + private int[] IUSER; + private int NCOLH, NSTATE; + + // @Override + public String[] getCUSER() { + return CUSER; + } + + // @Override + public double[] getHX() { + return HX; + } + + // @Override + public int[] getIUSER() { + return IUSER; + } + + // @Override + public int getNCOLH() { + return NCOLH; + } + + // @Override + public int getNSTATE() { + return NSTATE; + } + + // @Override + public double[] getRUSER() { + return RUSER; + } + + // @Override + public double[] getX() { + return X; + } + + // @Override + public void setCUSER(String[] arg0) { + CUSER = arg0; + + } + + // @Override + public void setHX(double[] arg0) { + HX = arg0; + + } + + // @Override + public void setIUSER(int[] arg0) { + IUSER = arg0; + + } + + // @Override + public void setNCOLH(int arg0) { + NCOLH = arg0; + + } + + // @Override + public void setNSTATE(int arg0) { + NSTATE = arg0; + + } + + // @Override + public void setRUSER(double[] arg0) { + RUSER = arg0; + + } + + // @Override + public void setX(double[] arg0) { + X = arg0; + + } + + } + + + + +} diff --git a/simple_examples/int32/E04PTJE.java b/simple_examples/int32/E04PTJE.java new file mode 100644 index 0000000..75303ac --- /dev/null +++ b/simple_examples/int32/E04PTJE.java @@ -0,0 +1,344 @@ +import com.nag.routines.E04.E04PT; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RB; +import com.nag.routines.E04.E04RE; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RJ; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.F08.DSYEVD; +import java.util.Arrays; + +/** + * E04PTJ example program text. + * @author joed + * @since 27.0.0.0 + */ +public class E04PTJE { + + + /** + * Monitoring function can be used to monitor the progress + * or, for example, to implement bespoke stopping criteria. + */ + private static class MONIT extends E04PT.Abstract_E04PT_MONIT { + + public void eval() { + + double tol = RUSER[0]; + int tolReached = IUSER[1]; + + // If x is close to the solution, print a message + if ((RINFO[14] < tol) && (RINFO[15] < tol) && (RINFO[16] < tol) && (RINFO[17] < tol)) { + if (tolReached == 0) { + System.out.println(); + System.out.printf("monit() reports good approximate solution (tol = %9.2E)\n", tol); + IUSER[1] = 1; + } + } + + } + + } + + + /** + * E04PTJ example main program. + */ + public static void main(String[] args) { + + DSYEVD dsyevd = new DSYEVD(); + E04PT e04pt = new E04PT(); + E04RA e04ra = new E04RA(); + E04RB e04rb = new E04RB(); + E04RE e04re = new E04RE(); + E04RH e04rh = new E04RH(); + E04RJ e04rj = new E04RJ(); + E04RZ e04rz = new E04RZ(); + E04ZM e04zm = new E04ZM(); + MONIT monit = new MONIT(); + + final int nqc = 1; + long cpuser, handle; + double r1; + int i, idgroup, idlc, idxa, ifail, j, liwork, lwork, m, n, na, nnza, nnzp0, + nnzp1, nnzu, nnzuc, nu, nv, nvarc1, nvarc2, rptr, xIdx; + boolean verboseOutput; + String ctype1, ctype2; // Length must be 8 + double[] a, bla, bua, c, f0, f1, lambda0, lambda1, p0, p1, q0, q1, u, uc, + work, x, xl, xu; + double[] rinfo = new double[100], ruser = new double[1], stats = new double[100]; + int[] icola, icolp0, icolp1, idxc1, idxc2, irowa, irowp0, irowp1, iwork; + int[] iuser = new int[2]; + + System.out.println("E04PTJ Example Program Results\n"); + + // Dimensions of the problem + n = 3; + nnzp0 = 6; + nnzp1 = 6; + + // Initialize size of linear constraints in SOCP + m = nqc; + na = n + nqc + 1; + nnza = nqc + n; + + // Initialize size of cone constraints + nvarc1 = 2; + nvarc2 = 2; + + // Set problem data + lwork = Math.max(2*n*n+6*n+1, 120+9*n); + liwork = 5*n + 3; + irowp0 = new int[]{1, 2, 3, 2, 3, 3}; + icolp0 = new int[]{1, 1, 1, 2, 2, 3}; + p0 = new double[]{0.493, 0.382, 0.270, 0.475, 0.448, 0.515}; + irowp1 = new int[]{1, 2, 3, 2, 3, 3}; + icolp1 = new int[]{1, 1, 1, 2, 2, 3}; + p1 = new double[]{0.737, 0.453, 1.002, 0.316, 0.635, 1.590}; + q0 = new double[]{0.847, 0.08, 0.505}; + q1 = new double[]{0.065, 0.428, 0.097}; + r1 = 1.276; + f0 = new double[n*n]; + f1 = new double[n*n]; + lambda0 = new double[n]; + lambda1 = new double[n]; + work = new double[lwork]; + iwork = new int[liwork]; + + // Store full P0 and P1 in F0 and F1 + Arrays.fill(f0, 0.0); + for (i = 0; i < nnzp0; i++) { + f0[getIdx(irowp0[i], icolp0[i], n)] = p0[i]; + } + Arrays.fill(f1, 0.0); + for (i = 0; i < nnzp1; i++) { + f1[getIdx(irowp1[i], icolp1[i], n)] = p1[i]; + } + + // Factorize P0 and P1 via eigenvalue decomposition + ifail = 0; + dsyevd.eval("V", "L", n, f0, n, lambda0, work, lwork, iwork, liwork, ifail); + dsyevd.eval("V", "L", n, f1, n, lambda1, work, lwork, iwork, liwork, ifail); + + // Fomulate F0 and F1 in P0 = F0'*F0, P1 = F1'*F1 + nu = 0; + nv = 0; + for (i = 1; i <= n; i++) { + if (lambda0[i-1] > 0) { + for (j = 1; j <= n; j++) { + f0[getIdx(j,i,n)] *= Math.sqrt(lambda0[i-1]); + } + m++; + nu++; + nnza += n; + } + if (lambda1[i-1] > 0) { + for (j = 1; j <= n; j++) { + f1[getIdx(j,i,n)] *= Math.sqrt(lambda1[i-1]); + } + m++; + nv++; + nnza += n; + } + } + nnza += nu + nv; + na += nu+ nv; + nvarc1 += nu; + nvarc2 += nv; + + // Add two fixed variable for two rotated quadratic cones + na += 2; + m += 2; + nnza += 2; + + // Compute size of multipliers + nnzu = 2*na + 2*m; + nnzuc = nvarc1 + nvarc2; + + // Initialize arrays to build SOCP + icola = new int[nnza]; + irowa = new int[nnza]; + a = new double[nnza]; + bla = new double[m]; + bua = new double[m]; + xl = new double[na]; + xu = new double[na]; + c = new double[na]; + x = new double[na]; + u = new double[nnzu]; + uc = new double[nnzuc]; + idxc1 = new int[nvarc1]; + idxc2 = new int[nvarc2]; + + // Build objective function parameter c + // [x, t1, u, v, y1, y2, t0] + Arrays.fill(c, 0.0); + for (j = 0; j < n; j++) { + c[j] = q0[j]; + } + c[na-1] = 1.0; + + // Build linear constraints parameter A + idxa = 0; + rptr = 0; + // q1 in First row + rptr++; + Arrays.fill(irowa, 0, n, rptr); + for (j = 0; j < n; j++) { + icola[j] = j+1; + a[j] = q1[j]; + } + idxa += n; + + // F0 in F0*x-u=0 row + for (i = 1; i <= n; i++) { + if (lambda0[i-1] > 0) { + rptr += 1; + for (j = 0; j < n; j++) { + irowa[idxa+j] = rptr; + icola[idxa+j] = j+1; + a[idxa+j] = f0[getIdx(j+1,i,n)]; + } + idxa += n; + } + } + // F1 in F1*x-v=0 row + for (i = 1; i <= n; i++) { + if (lambda1[i-1] > 0) { + rptr += 1; + for (j = 0; j < n; j++) { + irowa[idxa+j] = rptr; + icola[idxa+j] = j+1; + a[idxa+j] = f1[getIdx(j+1,i,n)]; + } + idxa += n; + } + } + // Rest of A, a diagonal matrix + for (j = 0; j < m; j++) { + irowa[idxa+j] = j+1; + icola[idxa+j] = n+j+1; + a[idxa+j] = 1.0; + } + for (j = 1; j < (nu+nv+1); j++) { + a[idxa+j] = -1.0; + } + // RHS in linear constraints + Arrays.fill(bla, 0.0); + Arrays.fill(bua, 0.0); + bla[0] = -r1; + bua[0] = -r1; + for (j = (m-nqc); j <= m; j++) { + bla[j-1] = 1.0; + bua[j-1] = 1.0; + } + + // Box constraints, all variables are free + Arrays.fill(xl, -1E+20); + Arrays.fill(xu, 1E+20); + + // Cone constraints + // First cone + idxc1[0] = na; + idxc1[1] = n + 1 + nu + nv + 1; + for (j = 2; j < nvarc1; j++) { + idxc1[j] = n + j; + } + ctype1 = "RQUAD "; + // Second cone + idxc2[0] = n + 1; + idxc2[1] = n + 1 + nu + nv + 2; + for (j = 2; j < nvarc2; j++) { + idxc2[j] = n + nu + j; + } + ctype2 = "RQUAD "; + + // Create the problem handle + handle = 0; + ifail = 0; + e04ra.eval(handle, na, ifail); + handle = e04ra.getHANDLE(); + + // Set objective function + ifail = 0; + e04re.eval(handle, na, c, ifail); + + // Set box constraints + ifail = 0; + e04rh.eval(handle, na, xl, xu, ifail); + + // Set linear constraints + ifail = 0; + idlc = 0; + e04rj.eval(handle, m, bla, bua, nnza, irowa, icola, a, idlc, ifail); + idlc = e04rj.getIDLC(); + + // Set first cone constraint + ifail = 0; + idgroup = 0; + e04rb.eval(handle, ctype1, nvarc1, idxc1, idgroup, ifail); + idgroup = e04rb.getIDGROUP(); + + // Set first cone constraint + ifail = 0; + idgroup = 0; + e04rb.eval(handle, ctype2, nvarc2, idxc2, idgroup, ifail); + idgroup = e04rb.getIDGROUP(); + + // Turn on monitoring + ifail = 0; + e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); + + /* Set this to true to cause e04pt to produce intermediate + * progress output */ + verboseOutput = false; + + if (verboseOutput) { + // Require printing of primal and dual solutions at the end of the solve + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + } + else { + // Turn off printing of intermediate progress output + ifail = 0; + e04zm.eval(handle, "Print Level = 1", ifail); + } + + // Call SOCP interior point solver + cpuser = 0; + iuser[0] = 0; // unused in this example + iuser[1] = 0; + ruser[0] = 1.0E-7; + ifail = -1; + e04pt.eval(handle, na, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, + ruser, cpuser, ifail); + ifail = e04pt.getIFAIL(); + + // Print solution if optimal or suboptimal solution found + if (ifail == 0 || ifail == 50) { + System.out.println(" Optimal X:"); + System.out.println(" x_idx Value "); + for (xIdx = 1; xIdx <= n; xIdx++) { + System.out.printf(" %5d %11.3E\n", xIdx, x[xIdx-1]); + } + } + + // Free the handle memory + ifail = 0; + e04rz.eval(handle, ifail); + + } + + + /** + * Convert from 2D Fortran index to 1D-column major Java index. + * @param x 1-based row index for a 2D array + * @param y 1-based column index for a 2D array + * @return the corresponding 0-based index for a 1D column-major array + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + +} diff --git a/simple_examples/int32/E04RPJE.java b/simple_examples/int32/E04RPJE.java new file mode 100644 index 0000000..d22d3d1 --- /dev/null +++ b/simple_examples/int32/E04RPJE.java @@ -0,0 +1,199 @@ +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RE; +import com.nag.routines.E04.E04RN; +import com.nag.routines.E04.E04RP; +import com.nag.routines.E04.E04RY; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04SV; + +/** + * E04RPJ Example Program Text + * @author willa + * @since 27.1.0.0 + */ + +public class E04RPJE{ + + /** + * E04RPJ Example main program + */ + public static void main(String[] args){ + int blkidx, dimaq, idblk, idlc, idx, idxend, ifail, inform, midx, nblk, nclin, + nnzasum, nnzb, nnzc, nnzh, nnzqsum, nnzu, nnzua, nnzuc, nq, nvar; + double[] a, b, bl, bu, cvec, h, q, x, rdummy, rinfo, stats; + int[] icola, icolb, icolh, icolq, idxc, irowa, irowb, irowh, irowq, nnza, + nnzq, qi, qj, idummy; + long cpuser, handle; + + rdummy = new double[1]; + rinfo = new double[32]; + stats = new double[32]; + idummy = new int[1]; + + System.out.println("E04RPJ Example Program Results"); + System.out.println(); + + //Problem size + nvar = 5; + nnzh = 0; + nclin = 0; + nnzb = 0; + nblk = 2; + + //Initialize handle to an empty problem + E04RA e04ra = new E04RA(); + handle = 0; + ifail = 0; + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + //Linear part of the objective function + cvec = new double[nvar]; + cvec[0] = 1; + cvec[1] = 0; + cvec[2] = 1; + cvec[3] = 0; + cvec[4] = 0; + + //Add the linear objetive function to the problem formulation + ifail = 0; + E04RE e04re = new E04RE(handle, nvar, cvec, ifail); + e04re.eval(); + + //Matrix inequalities + //block 1 + dimaq = 2; + nnzasum = 9; nnzqsum = 8; + idblk = 0; + + nnza = new int[nvar + 1]; + irowa = new int[nnzasum]; + icola = new int[nnzasum]; + a = new double[nnzasum]; + + nnza[0] = 2; + nnza[1] = 2; + nnza[2] = 3; + nnza[3] = 2; + nnza[4] = 0; + nnza[5] = 0; + + a[0] = 1.0; irowa[0] = 1; icola[0] = 1; + a[1] = 1.0; irowa[1] = 2; icola[1] = 2; + a[2] = 2.0; irowa[2] = 1; icola[2] = 1; + a[3] = -2.0; irowa[3] = 1; icola[3] = 2; + a[4] = 6.0; irowa[4] = 1; icola[4] = 1; + a[5] = 5.0; irowa[5] = 1; icola[5] = 2; + a[6] = -4.0; irowa[6] = 2; icola[6] = 2; + a[7] = 3.0; irowa[7] = 1; icola[7] = 2; + a[8] = 8.0; irowa[8] = 2; icola[8] = 2; + + idblk = 0; + ifail = 0; + //Add the linear matrix inequality to the problem formulation + E04RN e04rn = new E04RN(handle,nvar,dimaq,nnza,nnzasum,irowa,icola,a,1, + idummy,idblk,ifail); + e04rn.eval(); + //update + idblk = e04rn.getIDBLK(); + + nq = 6; + + qi = new int[nq]; + qj = new int[nq]; + nnzq = new int[nq]; + irowq = new int[nnzqsum]; + icolq = new int[nnzqsum]; + q = new double[nnzqsum]; + + qi[0] = 1; qj[0] = 4; + qi[1] = 2; qj[1] = 4; + qi[2] = 3; qj[2] = 4; + qi[3] = 1; qj[3] = 5; + qi[4] = 2; qj[4] = 5; + qi[5] = 3; qj[5] = 5; + + nnzq[0] = 1; + nnzq[1] = 2; + nnzq[2] = 1; + nnzq[3] = 1; + nnzq[4] = 2; + nnzq[5] = 1; + + q[0] = 2.0; irowq[0] = 1; icolq[0] = 1; + q[1] = 2.0; irowq[1] = 1; icolq[1] = 1; + q[2] = 1.0; irowq[2] = 1; icolq[2] = 2; + q[3] = 1.0; irowq[3] = 1; icolq[3] = 2; + q[4] = 1.0; irowq[4] = 1; icolq[4] = 2; + q[5] = 1.0; irowq[5] = 1; icolq[5] = 2; + q[6] = 2.0; irowq[6] = 2; icolq[6] = 2; + q[7] = 2.0; irowq[7] = 2; icolq[7] = 2; + + ifail = 0; + //Expand the existing linear matrix inequality with bilnear term + E04RP e04rp = new E04RP(handle,nq,qi,qj,dimaq,nnzq,nnzqsum,irowq,icolq, + q,idblk,ifail); + e04rp.eval(); + + //block 2 + dimaq = 2; + nnzasum = 5; + nnza = new int[nvar + 1]; + irowa = new int[nnzasum]; + icola = new int[nnzasum]; + a = new double[nnzasum]; + + nnza[0] = 2; + nnza[1] = 1; + nnza[2] = 1; + nnza[3] = 1; + nnza[4] = 0; + nnza[5] = 0; + + a[0] = 1.0; irowa[0] = 1; icola[0] = 1; + a[1] = 1.0; irowa[1] = 2; icola[1] = 2; + a[2] = 1.0; irowa[2] = 1; icola[2] = 1; + a[3] = 1.0; irowa[3] = 1; icola[3] = 2; + a[4] = 1.0; irowa[4] = 2; icola[4] = 2; + + idblk = 0; + ifail = 0; + //Add the linear matrix inequality to the problem formulation + e04rn = new E04RN(handle,nvar,dimaq,nnza,nnzasum,irowa,icola,a,1, + idummy,idblk,ifail); + e04rn.eval(); + + System.out.println("Passing SDP problem to solver"); + System.out.println(); + + ifail = 0; + //Print overview of handle + //nout = 6 is default output for fortran + E04RY e04ry = new E04RY(handle,6,"Overview,Matrix Constraints",ifail); + e04ry.eval(); + + //Allocate memory for the solver + x = new double[nvar]; + nnzu = 0; + nnzuc = 0; + nnzua = 0; + inform = 0; + for(int i = 0; i < nvar; i++){ + x[i] = 0.0; + } + + ifail = 0; + E04SV e04sv = new E04SV(handle,nvar,x,nnzu,rdummy,nnzuc,rdummy,nnzua,rdummy, + rinfo,stats,inform,ifail); + e04sv.eval(); + + //Destroy handle + ifail = 0; + E04RZ e04rz = new E04RZ(handle,ifail); + e04rz.eval(); + } + +} + + + diff --git a/simple_examples/int32/E04RSJE.java b/simple_examples/int32/E04RSJE.java new file mode 100644 index 0000000..d614fbb --- /dev/null +++ b/simple_examples/int32/E04RSJE.java @@ -0,0 +1,229 @@ +import com.nag.routines.E04.E04RS; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04PT; +import com.nag.routines.E04.E04RZ; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * E04RS + */ +public class E04RSJE { + + public static void main(String[] args) { + + final int nout = 6; + + long cpuser, handle = 0; + double s = 0.0; + int idqc, ifail, n = 0, nnzq0 = 0, nnzq1 = 0, nnzu, nnzuc, x_idx; + boolean verbose_output; + + double[] q0 = null, q1 = null, r0 = null, r1 = null, u, uc, x; + double[] rinfo = new double[100]; + double[] ruser = new double[1]; + double[] stats = new double[100]; + int[] icolq0 = null, icolq1 = null, idxr0 = null, idxr1 = null, irowq0 = null, irowq1 = null; + int[] iuser = new int[2]; + + System.out.println(" E04RSJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); // skip header + + // Read dimensions of the problem + line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + nnzq0 = Integer.parseInt(sVal[1]); + nnzq1 = Integer.parseInt(sVal[2]); + + // Allocate memory to read data + irowq0 = new int[nnzq0]; + icolq0 = new int[nnzq0]; + q0 = new double[nnzq0]; + irowq1 = new int[nnzq1]; + icolq1 = new int[nnzq1]; + q1 = new double[nnzq1]; + idxr0 = new int[n]; + r0 = new double[n]; + idxr1 = new int[n]; + r1 = new double[n]; + + // Read problem data + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq0; i++) { + irowq0[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq0; i++) { + icolq0[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq0; i++) { + q0[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq1; i++) { + irowq1[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq1; i++) { + icolq1[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq1; i++) { + q1[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < n; i++) { + idxr0[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < n; i++) { + r0[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < n; i++) { + idxr1[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < n; i++) { + r1[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + s = Double.parseDouble(sVal[0]); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Compute size of multipliers + // One quadratic constraint in the model will have + // 2 multipliers for both bounds + nnzu = 2; + // No cone constraint in the model, so set nnzuc to 0 + nnzuc = 0; + + // Allocate memory for final results + x = new double[n]; + u = new double[nnzu]; + uc = new double[nnzuc]; + + // Create the problem handle + ifail = 0; + E04RA e04ra = new E04RA(); + e04ra.eval(handle, n, ifail); + handle = e04ra.getHANDLE(); + + // Set objective function + idqc = -1; + ifail = 0; + E04RS e04rs = new E04RS(); + e04rs.eval(handle, 0.0, n, idxr0, r0, nnzq0, irowq0, icolq0, q0, idqc, ifail); + + // Set quadratic constraint + idqc = 0; + ifail = 0; + e04rs.eval(handle, s, n, idxr1, r1, nnzq1, irowq1, icolq1, q1, idqc, ifail); + + // Turn on monitoring + ifail = 0; + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); + + // Set this to True to cause e04ptf to produce intermediate progress output + verbose_output = false; + + if (verbose_output) { + // Require printing of primal and dual solutions at the end of the solve + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + } else { + // Turn off printing of intermediate progress output + ifail = 0; + e04zm.eval(handle, "Print Level = 1", ifail); + } + + // Call SOCP interior point solver + cpuser = 0; + iuser[0] = nout; + iuser[1] = 0; + ruser[0] = 1.0e-07; + ifail = -1; + E04PT e04pt = new E04PT(); + MONIT monit = new MONIT(); + e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + ifail = e04pt.getIFAIL(); + + // Print solution if optimal or suboptimal solution found + if ((ifail == 0) || (ifail == 50)) { + System.out.println(" Optimal X:"); + System.out.println(" x_idx Value "); + for (x_idx = 0; x_idx < n; x_idx++) { + System.out.printf(" %5d %11.3e\n", x_idx, x[x_idx]); + } + } + + // Free the handle memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + } + + public static class MONIT extends E04PT.Abstract_E04PT_MONIT { + + public void eval() { + double tol; + int nout, tol_reached; + + nout = this.IUSER[0]; + tol_reached = this.IUSER[1]; + tol = this.RUSER[0]; + + // If x is close to the solution, print a message + if ((this.RINFO[14] < tol) && (this.RINFO[15] < tol) && (this.RINFO[16] < tol) && (this.RINFO[17] < tol)) { + if (tol_reached == 0) { + System.out.printf("\n monit() reports good approximate solution (tol =%9.2e)\n", tol); + this.IUSER[1] = 1; + } + } + } + } +} diff --git a/simple_examples/int32/E04RTJE.java b/simple_examples/int32/E04RTJE.java new file mode 100644 index 0000000..dd4bce8 --- /dev/null +++ b/simple_examples/int32/E04RTJE.java @@ -0,0 +1,225 @@ +import com.nag.routines.E04.E04RT; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RJ; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04PT; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04RH; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * E04RT example program text. + */ +public class E04RTJE { + + public static void main(String[] args) { + + final int nout = 6; + + long cpuser, handle = 0; + int i, idlc, idqc, ifail, j, m = 0, n = 0, nnza = 0, nnzu, nnzuc, x_idx; + boolean verbose_output; + + double[] a = null, b = null, r0 = null, u, uc, x, xl = null, xu = null; + double[] lc = new double[3]; + double[] lc_rhs = new double[1]; + double[] rinfo = new double[100]; + double[] ruser = new double[1]; + double[] stats = new double[100]; + int[] icola = null, idxr0 = null, irowa = null; + int[] icollc = new int[3]; + int[] irowlc = new int[3]; + int[] iuser = new int[2]; + + System.out.println(" E04RTJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); // skip header + + // Read dimensions of the problem + line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + m = Integer.parseInt(sVal[1]); + nnza = Integer.parseInt(sVal[2]); + + // Allocate memory to read data + a = new double[nnza]; + icola = new int[nnza]; + irowa = new int[nnza]; + idxr0 = new int[n]; + r0 = new double[n]; + b = new double[m]; + xl = new double[n]; + xu = new double[n]; + + // Read problem data + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < nnza; i++) { + irowa[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < nnza; i++) { + icola[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < nnza; i++) { + a[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < m; i++) { + b[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + xl[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + xu[i] = Double.parseDouble(sVal[i]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Compute -2*b'A as linear term in quadratic function + for (j = 0; j < n; j++) { + r0[j] = 0.0; + idxr0[j] = j + 1; + } + for (i = 0; i < nnza; i++) { + r0[icola[i] - 1] = r0[icola[i] - 1] + a[i] * b[irowa[i] - 1]; + } + + // Compute size of multipliers + // One linear constraint in the model will have + // 2 multipliers for both bounds + nnzu = 2 * n + 2; + // No cone constraint in the model, so set nnzuc to 0 + nnzuc = 0; + + // Allocate memory for final results + x = new double[n]; + u = new double[nnzu]; + uc = new double[nnzuc]; + + // Create the problem handle + ifail = 0; + E04RA e04ra = new E04RA(); + e04ra.eval(handle, n, ifail); + handle = e04ra.getHANDLE(); + + // Set quadratic objective function + idqc = -1; + ifail = 0; + E04RT e04rt = new E04RT(); + e04rt.eval(handle, 0.0, n, idxr0, r0, m, nnza, irowa, icola, a, idqc, ifail); + + // Set box constraints + ifail = 0; + E04RH e04rh = new E04RH(); + e04rh.eval(handle, n, xl, xu, ifail); + + // Set linear constraint: x1 + x2 + x3 = 1 + for (j = 0; j < n; j++) { + irowlc[j] = 1; + icollc[j] = j + 1; + lc[j] = 1.0; + } + lc_rhs[0] = 1.0; + ifail = 0; + idlc = 0; + E04RJ e04rj = new E04RJ(); + e04rj.eval(handle, 1, lc_rhs, lc_rhs, 3, irowlc, icollc, lc, idlc, ifail); + + // Turn on monitoring + ifail = 0; + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); + + // Set this to True to cause e04ptf to produce intermediate progress output + verbose_output = false; + + if (verbose_output) { + // Require printing of primal and dual solutions at the end of the solve + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + } else { + // Turn off printing of intermediate progress output + ifail = 0; + e04zm.eval(handle, "Print Level = 1", ifail); + } + + // Call SOCP interior point solver + cpuser = 0; + iuser[0] = nout; + iuser[1] = 0; + ruser[0] = 1.0e-07; + ifail = -1; + E04PT e04pt = new E04PT(); + MONIT monit = new MONIT(); + e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + ifail = e04pt.getIFAIL(); + + // Print solution if optimal or suboptimal solution found + if ((ifail == 0) || (ifail == 50)) { + System.out.println(" Optimal X:"); + System.out.println(" x_idx Value "); + for (x_idx = 0; x_idx < n; x_idx++) { + System.out.printf(" %5d %11.3e\n", x_idx, x[x_idx]); + } + } + + // Free the handle memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + } + + public static class MONIT extends E04PT.Abstract_E04PT_MONIT { + + public void eval() { + double tol; + int nout, tol_reached; + + nout = this.IUSER[0]; + tol_reached = this.IUSER[1]; + tol = this.RUSER[0]; + + // If x is close to the solution, print a message + if ((this.RINFO[14] < tol) && (this.RINFO[15] < tol) && (this.RINFO[16] < tol) && (this.RINFO[17] < tol)) { + if (tol_reached == 0) { + System.out.printf("\n monit() reports good approximate solution (tol =%9.2e)\n", tol); + this.IUSER[1] = 1; + } + } + } + } + } diff --git a/simple_examples/int32/E04SAJE.java b/simple_examples/int32/E04SAJE.java new file mode 100644 index 0000000..325267b --- /dev/null +++ b/simple_examples/int32/E04SAJE.java @@ -0,0 +1,104 @@ +import com.nag.routines.E04.E04RC; +import com.nag.routines.E04.E04SA; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04PT; +import com.nag.routines.E04.E04PTU; + +/** + * E04SA example program text. + */ +public class E04SAJE { + + public static final String fname = "e04saje.opt"; + public static void main(String[] args) { + + long cpuser, handle = 0; + int ifail, n, nnzu, nnzuc, x_idx; + boolean verbose_output; + String ftype; + + double[] rinfo = new double[100]; + double[] ruser = new double[1]; + double[] stats = new double[100]; + double[] u, uc, x; + int[] iuser = new int[1]; + int[] pinfo = new int[100]; + + System.out.println(" E04SAJ Example Program Results"); + + // Read mps file to a handle + ifail = 0; + ftype = "mps"; + E04SA e04sa = new E04SA(); + e04sa.eval(handle, fname, ftype, pinfo, ifail); + handle = e04sa.getHANDLE(); + + // Get problem size from pinfo + pinfo = e04sa.getPINFO(); + n = pinfo[0]; + nnzu = pinfo[10]; + nnzuc = pinfo[11]; + + // Set all variables as continuous + ifail = 0; + E04RC e04rc = new E04RC(); + + int[] x_idx_Arr = new int[n]; + for (x_idx = 1; x_idx <= n; x_idx++) { + x_idx_Arr[x_idx - 1] = x_idx; + } + + e04rc.eval(handle, "CONT", n, x_idx_Arr, ifail); + + // Allocate memory + x = new double[n]; + u = new double[nnzu]; + uc = new double[nnzuc]; + + // Set this to .True. to cause e04ptf to produce intermediate progress output + verbose_output = false; + + E04ZM e04zm = new E04ZM(); + if (verbose_output) { + // Require printing of primal and dual solutions at the end of the solve + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + } else { + // Turn off printing of intermediate progress output + ifail = 0; + e04zm.eval(handle, "Print Level = 1", ifail); + } + + // Call SOCP interior point solver + cpuser = 0; + ifail = -1; + E04PT e04pt = new E04PT(); + MONIT monit = new MONIT(); + e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + ifail = e04pt.getIFAIL(); + + // Print solution if optimal or suboptimal solution found + if ((ifail == 0) || (ifail == 50)) { + System.out.println(" Optimal X:"); + System.out.println(" x_idx " + " Value "); + for (x_idx = 0; x_idx < n; x_idx++) { + System.out.printf(" %5d %12.5e\n", x_idx, x[x_idx]); + } + } + + // Free the handle memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + } + + public static class MONIT extends E04PT.Abstract_E04PT_MONIT { + + public void eval() { + E04PTU e04ptu = new E04PTU(); + e04ptu.eval(this.HANDLE, this.RINFO, this.STATS, this.IUSER, this.RUSER, this.CPUSER, this.INFORM); + this.INFORM = e04ptu.getINFORM(); + } + } +} diff --git a/simple_examples/int32/E04TAJE.java b/simple_examples/int32/E04TAJE.java new file mode 100644 index 0000000..97cebe2 --- /dev/null +++ b/simple_examples/int32/E04TAJE.java @@ -0,0 +1,188 @@ +import com.nag.routines.E04.E04TA; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RE; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RJ; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04MT; +import com.nag.routines.E04.E04MTU; +import com.nag.routines.E04.E04TD; +import com.nag.routines.E04.E04TE; +import com.nag.routines.E04.E04TJ; +import com.nag.routines.E04.E04RW; +import com.nag.routines.E04.E04RZ; + +import java.util.Arrays; + +/** + * E04TA + */ +public class E04TAJE { + + public static void main(String[] args) { + + final double infbnd = 1.0e20; + + long cpuser, handle; + int idlc, ifail, ioflag, liarr, nclin, nnza, nnzu, nvar; + + double[] a, bla, bua, cvec, ulag, x, xl, xu; + + double[] rinfo = new double[100]; + double[] ruser = new double[1]; + double[] stats = new double[100]; + double[] u = new double[1]; + + int[] icola, irowa; + + int[] iuser = new int[1]; + int[] pinfo = new int[100]; + + System.out.println(" E04TAJ Example Program Results\n"); + System.out.println(" Solve the first LP\n"); + + handle = 0; + cpuser = 0; + + // Initialize the handle + nvar = 2; + ifail = 0; + E04RA e04ra = new E04RA(); + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + // Define the objective function + cvec = new double[nvar]; + cvec[0] = 2.0; + cvec[1] = 4.5; + ifail = 0; + E04RE e04re = new E04RE(); + e04re.eval(handle, nvar, cvec, ifail); + + // Box constraints + xl = new double[nvar]; + xu = new double[nvar]; + Arrays.fill(xl, 0.0); + xu[0] = infbnd; + xu[1] = 100.0; + ifail = 0; + E04RH e04rh = new E04RH(); + e04rh.eval(handle, nvar, xl, xu, ifail); + + // Set the linear constraints + idlc = 0; + nclin = 3; + nnza = 6; + bla = new double[nclin]; + bua = new double[nclin]; + irowa = new int[nnza]; + icola = new int[nnza]; + a = new double[nnza]; + Arrays.fill(bla, -infbnd); + bua = new double[] { + 1500.0, 6000.0, 16000.0 + }; + irowa = new int[] { + 1, 1, 2, 2, 3, 3 + }; + icola = new int[] { + 1, 2, 1, 2, 1, 2 + }; + a = new double[] { + 1.2, 3.0, 6.0, 10.0, 40.0, 80.0 + }; + ifail = 0; + E04RJ e04rj = new E04RJ(); + e04rj.eval(handle, nclin, bla, bua, nnza, irowa, icola, a , idlc, ifail); + + // Optional parameters + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "Task = Max", ifail); + e04zm.eval(handle, "Print Options = No", ifail); + e04zm.eval(handle, "Print Level = 1", ifail); + e04zm.eval(handle, "Print Solution = X", ifail); + + // Call the LP solver + x = new double[nvar + 1]; + nnzu = 0; + ifail = -1; + E04MT e04mt = new E04MT(); + MONIT monit = new MONIT(); + e04mt.eval(handle, nvar, x ,nnzu, u, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + + // Add a variable + ifail = 0; + E04TA e04ta = new E04TA(); + e04ta.eval(handle, 1, nvar, ifail); + nvar = e04ta.getNVAR(); + + // Box constraint on the new variable + ifail = 0; + E04TD e04td = new E04TD(); + e04td.eval(handle, "variable", nvar, 0.0, 50.0, ifail); + + // Add the linear objective component + ifail = 0; + E04TE e04te = new E04TE(); + e04te.eval(handle, 3, 7.0, ifail); + + // Add linear constraints coefficients + E04TJ e04tj = new E04TJ(); + ifail = 0; + e04tj.eval(handle, 1, 3, 5.0, ifail); + ifail = 0; + e04tj.eval(handle, 2, 3, 12.0, ifail); + ifail = 0; + e04tj.eval(handle, 3, 3, 120.0, ifail); + + System.out.println("\n The new variable has been added, solve the handle again\n"); + + // Solve the problem again + ifail = -1; + e04mt.eval(handle, nvar, x, nnzu, u, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + + // Add a linear constraint + nclin = 1; + bla[0] = -infbnd; + bua[0] = 100.0; + nnza = 2; + irowa[0] = 1; + irowa[1] = 1; + icola[0] = 2; + icola[1] = 3; + a[0] = 1.0; + a[1] = 1.0; + idlc = 0; + e04rj.eval(handle, nclin, bla, bua ,nnza, irowa, icola, a ,idlc, ifail); + + System.out.println("\n The new constraint has been added, solve the handle again\n"); + + // Query the problem sizes to request the Lagrangian multipliers for the + // last solve + ioflag = 1; + liarr = 100; + E04RW e04rw = new E04RW(); + e04rw.eval(handle, "pinfo", ioflag, liarr, pinfo, ifail); + nnzu = pinfo[10]; + ulag = new double[nnzu]; + + // Solve the problem again + ifail = -1; + e04mt.eval(handle, nvar, x ,nnzu, ulag, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + + // Free the memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + } + + public static class MONIT extends E04MT.Abstract_E04MT_MONIT { + + public void eval() { + E04MTU e04mtu = new E04MTU(); + e04mtu.eval(this.HANDLE, this.RINFO, this.STATS, this.IUSER, this.RUSER, + this.CPUSER, this.INFORM); + this.INFORM = e04mtu.getINFORM(); + } + } +} diff --git a/simple_examples/int32/E04TCJE.java b/simple_examples/int32/E04TCJE.java new file mode 100644 index 0000000..d28d78b --- /dev/null +++ b/simple_examples/int32/E04TCJE.java @@ -0,0 +1,263 @@ +import com.nag.routines.E04.E04FFU; +import com.nag.routines.E04.E04GG; +import com.nag.routines.E04.E04GGU; +import com.nag.routines.E04.E04GGV; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RM; +import com.nag.routines.E04.E04TB; +import com.nag.routines.E04.E04TC; +import com.nag.routines.E04.E04TD; +import com.nag.routines.E04.E04ZM; +import java.io.BufferedReader; +import java.io.FileReader; +import java.text.NumberFormat; +import java.util.logging.Level; +import java.util.logging.Logger; +import java.util.Arrays; + +/** + * E04TC example program text. + * @author Mo + */ +public class E04TCJE { + + public static void main(String[] args) { + double[] rx, x, udt, udy; + double[] rinfo = new double[100], ruser = new double[0], + stats = new double[100]; + int ifail, isparse, nnzrd, nres, nvar, udnres; + int[] icolrd = new int[0], irowrd = new int[0], iuser = new int[0]; + int[] idx; + long cpuser, handle; // c_ptr + LSQFUN lsqfun = new LSQFUN(); + LSQGRD lsqgrd = new LSQGRD(); + LSQHES lsqhes = new LSQHES(); + LSQHPRD lsqhprd = new LSQHPRD(); + MONIT monit = new MONIT(); + + /* Header */ + System.out.printf(" E04TCJ Example Program Results\n\n"); + try { + + handle = 0L; + cpuser = 0L; + + BufferedReader br = new BufferedReader(new FileReader(args[0])); + String line = br.readLine(); // read the header + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + String[] data = line.split("\\s+"); + + /* Read number of residuals */ + nres = Integer.parseInt(data[0]); + + udnres = nres; + + /* Allocate memory */ + udt = new double[nres]; + udy = new double[nres]; + + /* Read observations */ + + for (int ii = 0; ii < nres; ii += 3) { + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int jj = 0; jj < 3; ++jj) { + udt[ii+jj] = Double.parseDouble(data[jj]); + } + } + + for (int ii = 0; ii < nres; ii += 3) { + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int jj = 0; jj < 3; ++jj) { + udy[ii+jj] = Double.parseDouble(data[jj]); + } + } + + /* try to fit the model */ + /* f(t) = at^2 + bt + c + d sin(omega t) */ + /* To the data {(t_i, y_i)} */ + nvar = 5; + + /* Initialize the NAG optimization handle */ + E04RA e04ra = new E04RA(); + ifail = 0; // hard fail + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + /* Define a dense nonlinear least-squares objective function */ + /* (isparse = 0 => the sparsity pattern of the Jacobian */ + /* doesn't need to be defined) */ + E04RM e04rm = new E04RM(); + isparse = 0; + nnzrd = 1; + e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); + + /* Set some optional parameters to control the output of the solver */ + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "Print Options = No", ifail); + e04zm.eval(handle, "Print Solution = X", ifail); + e04zm.eval(handle, "Print Level = 1", ifail); + + System.out.println("First solve the problem with the outliers"); + System.out.println(); + System.out.println("--------------------------------------------------------"); + + /* Call the solver */ + E04GG e04gg = new E04GG(); + x = new double[nvar]; + for (int ii = 0; ii < nvar; ++ii) { + x[ii] = 1.0; + } + rx = new double[nres]; + iuser = new int[] {udnres}; + ruser = new double[2 * udnres];; + for (int ii = 0; ii < udnres; ii++) { + ruser[ii] = udt[ii]; + ruser[udnres + ii] = udy[ii]; + } + ifail = -1; + e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, + rx, rinfo, stats, iuser, ruser, cpuser, ifail); + + System.out.println("--------------------------------------------------------"); + System.out.println(); + System.out.println("Now remove the outlier residuals from the problem handle"); + System.out.println(); + System.out.println("--------------------------------------------------------"); + + /* Disable the two outlier residuals */ + E04TC e04tc = new E04TC(); + idx = new int[] {10, 20}; + e04tc.eval(handle, "NLS", 2, idx, ifail); + + /* Solve the problem again */ + for (int ii = 0; ii < nvar; ++ii) { + x[ii] = 1.0; + } + ifail = -1; + e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, + rx, rinfo, stats, iuser, ruser, cpuser, ifail); + + System.out.println("--------------------------------------------------------"); + System.out.println(); + System.out.println("Assuming the outliers points are measured again"); + System.out.println("we can enable the residuals and adjust the values"); + System.out.println(); + System.out.println("--------------------------------------------------------"); + + /* Fix the first variable to its known value of 0.3 */ + /* enable the residuals and adjust the values in the data */ + E04TD e04td = new E04TD(); + e04td.eval(handle, "variable", 1, 0.3, 0.3, ifail); + E04TB e04tb = new E04TB(); + e04tb.eval(handle, "NLS", 2, idx, ifail); + udy[9] = -0.515629; + udy[19] = 0.54920; + + /* Solve the problem */ + for (int ii = 0; ii < nvar; ++ii) { + x[ii] = 1.0; + } + ifail = -1; + e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, + rx, rinfo, stats, iuser, ruser, cpuser, ifail); + + } + catch (Exception ex) { + Logger.getLogger(E04TCJE.class.getName()).log(Level.SEVERE, null, ex); + } + + } + + public static class LSQFUN extends E04GG.Abstract_E04GG_LSQFUN { + + public void eval() { + int udnres; + double[] udt, udy; + + /* Unpack the user data from cpuser */ + udnres = this.IUSER[0]; + udt = Arrays.copyOfRange(this.RUSER, 0, udnres); + udy = Arrays.copyOfRange(this.RUSER, udnres, udnres + udnres); + + for (int i = 0; i < this.NRES; i++) { + this.RX[i] = 0.0; + } + + for (int i = 0; i < this.NRES; i++) { + this.RX[i] = (this.X[0] * Math.pow(udt[i],2) + this.X[1] * udt[i] + + this.X[2] + this.X[3] * Math.sin(this.X[4] * udt[i])) - + udy[i]; + } + + this.INFORM = 0; + + } + + } + + public static class LSQGRD extends E04GG.Abstract_E04GG_LSQGRD { + + public void eval() { + int udnres; + double[] udt, udy; + + /* Unpack the user data from cpuser */ + udnres = this.IUSER[0]; + udt = Arrays.copyOfRange(this.RUSER, 0, udnres); + udy = Arrays.copyOfRange(this.RUSER, udnres, udnres + udnres); + + for (int i = 1; i <= this.NRES; i++) { + this.RDX[((i-1)*this.NVAR + 1) - 1] = Math.pow(udt[i-1],2); + this.RDX[((i-1)*this.NVAR + 2) - 1] = udt[i-1]; + this.RDX[((i-1)*this.NVAR + 3) - 1] = 1.0; + this.RDX[((i-1)*this.NVAR + 4) - 1] = Math.sin(this.X[4] * udt[i-1]); + this.RDX[((i-1)*this.NVAR + 5) - 1] = this.X[3] * udt[i-1] * + Math.cos(this.X[4] * udt[i-1]); + + } + + this.INFORM = 0; + + } + + } + + public static class LSQHES extends E04GG.Abstract_E04GG_LSQHES { + + public void eval() { + E04GGU e04ggu = new E04GGU(); + e04ggu.eval(this.NVAR, this.X, this.NRES, this.LAMBDA, this.HX, + this.INFORM, this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ggu.getINFORM(); + } + + } + + public static class LSQHPRD extends E04GG.Abstract_E04GG_LSQHPRD { + + public void eval() { + E04GGV e04ggv = new E04GGV(); + e04ggv.eval(this.NVAR, this.X, this.Y, this.NRES, this.HXY, this.INFORM, + this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ggv.getINFORM(); + } + + } + + public static class MONIT extends E04GG.Abstract_E04GG_MONIT { + + public void eval() { + E04FFU e04ffu = new E04FFU(); + e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, + this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ffu.getINFORM(); + } + + } + +} diff --git a/simple_examples/int32/E04UCJE.java b/simple_examples/int32/E04UCJE.java new file mode 100644 index 0000000..e43d457 --- /dev/null +++ b/simple_examples/int32/E04UCJE.java @@ -0,0 +1,211 @@ +import com.nag.routines.E04.E04UC; +import com.nag.routines.E04.E04WB; +import com.nag.routines.E04.E04UE; +import com.nag.routines.F06.DGEMV; +import java.util.Arrays; + +/** + * E04UC example program text. + * @author joed + */ +public class E04UCJE { + + public static final double ONE = 1.0, ZERO = 0.0; + public static final int INC1 = 1, LCWSAV = 1, LIWSAV = 610, LLWSAV = 120, LRWSAV = 475; + public static CONFUN confun = new CONFUN(); + public static OBJFUN objfun = new OBJFUN(); + + public static void main(String[] args) { + + /* Local Scalars */ + double objf; + int i, ifail, inform, iter, j, lda, ldcj, ldr, liwork, lwork, n, nclin, ncnln, sda, sdcjac; + /* Local Arrays */ + double[] a, bl, bu, c, cjac, clamda, objgrd, r, work, x; + double[] ruser = new double[1], rwsav = new double[LRWSAV]; + int[] istate, iwork; + int[] iuser = new int[1], iwsav = new int[LIWSAV]; + boolean[] lwsav = new boolean[LLWSAV]; + String[] cwsav = new String[LCWSAV]; + Arrays.fill(cwsav, + " "); + + System.out.println(" E04UCJ Example Program Results"); + + /* Set scalars */ + n = 4; + nclin = 1; + ncnln = 2; + liwork = 3*n + nclin + 2*ncnln; + lda = Math.max(1, nclin); + sda = (nclin > 0) ? n : 1; + ldcj = Math.max(1, ncnln); + sdcjac = (ncnln > 0) ? n : 1; + ldr = n; + + if (ncnln == 0 && nclin > 0) { + lwork = 2*n*n + 20*n + 11*nclin; + } + else if (ncnln > 0 && nclin >= 0) { + lwork = 2*n*n + n*nclin + 2*n*ncnln + 20*n + 11*nclin + 21*ncnln; + } + else { + lwork = 20*n; + } + + /* Set arrays */ + istate = new int[n + nclin + ncnln]; + iwork = new int[liwork]; + c = new double[Math.max(1, ncnln)]; + cjac = new double[ldcj * sdcjac]; + clamda = new double[n + nclin + ncnln]; + objgrd = new double[n]; + r = new double[ldr * n]; + work = new double[lwork]; + + a = new double[]{1.0, 1.0, 1.0, 1.0}; + bl = new double[]{1.0, 1.0, 1.0, 1.0, -1.0E+25, -1.0E+25, 25.0}; + bu = new double[]{5.0, 5.0, 5.0, 5.0, 20.0, 40.0, 1.0E+25}; + x = new double[]{1.0, 5.0, 5.0, 1.0}; + + /* Initialise E04UC */ + E04WB e04wb = new E04WB(); + ifail = 0; + e04wb.eval("E04UCA", cwsav, LCWSAV, lwsav, LLWSAV, iwsav, LIWSAV, rwsav, LRWSAV, ifail); + E04UE e04ue = new E04UE(); + inform = 0; + e04ue.eval("Print Level = 10", lwsav, iwsav, rwsav, inform); + + /* Solve the problem */ + E04UC e04uc = new E04UC(); + iter = 0; + objf = 0.0; + ifail = -1; + e04uc.eval(n, nclin, ncnln, lda, ldcj, ldr, a, bl, bu, confun, objfun, iter, istate, c, + cjac, clamda, objf, objgrd, r, x, iwork, liwork, work, lwork, iuser, ruser, + lwsav, iwsav, rwsav, ifail); + iter = e04uc.getITER(); + objf = e04uc.getOBJF(); + ifail = e04uc.getIFAIL(); + + if ((0 >= ifail && ifail <= 6) || ifail == 8) { + System.out.println(); + System.out.println(" Varbl Istate Value Lagr Mult"); + System.out.println(); + + for (i = 0; i < n; i++) { + System.out.printf(" V %3d %3d %13.6G %13.4G\n", i+1, istate[i], x[i], clamda[i]); + } + + if (nclin > 0) { + + /* A*x --> work. + * The NAG name equivalent of DGEMV is F06PA */ + DGEMV dgemv = new DGEMV(); + dgemv.eval("N", nclin, n, ONE, a, lda, x, INC1, ZERO, work, INC1); + + System.out.println(); + System.out.println(); + System.out.println(" L Con Istate Value Lagr Mult"); + System.out.println(); + + for (i = n; i < n+nclin; i++) { + j = i - n; + System.out.printf(" L %3d %3d %13.6G %13.4G\n", j+1, istate[i], work[j], clamda[i]); + } + + } + + if (ncnln > 0) { + System.out.println(); + System.out.println(); + System.out.println(" N Con Istate Value Lagr Mult"); + System.out.println(); + + for (i = n+nclin; i < n+nclin+ncnln; i++) { + j = i - n - nclin; + System.out.printf(" N %3d %3d %13.6G %13.4G\n", j+1, istate[i], c[j], clamda[i]); + } + + } + + System.out.println(); + System.out.println(); + System.out.printf(" Final objective value = %11.7G\n", objf); + + } + + } + + /** Routine to evaluate objective function and its 1st derivatives. */ + public static class OBJFUN extends E04UC.Abstract_E04UC_OBJFUN { + + public void eval() { + + if (MODE == 0 || MODE == 2) { + OBJF = X[0] * X[3] * (X[0]+X[1]+X[2]) + X[2]; + } + + if (MODE == 1 || MODE == 2) { + OBJGRD[0] = X[3] * (X[0]+X[0]+X[1]+X[2]); + OBJGRD[1] = X[0] * X[3]; + OBJGRD[2] = X[0] * X[3] + ONE; + OBJGRD[3] = X[0] * (X[0]+X[1]+X[2]); + } + + } + + } + + /** Routine to evaluate the nonlinear constraints and their 1st derivatives. */ + public static class CONFUN extends E04UC.Abstract_E04UC_CONFUN { + + public void eval() { + + if (NSTATE == 1) { + + /* First call to CONFUN. Set all Jacobian elements to zero. + * Note that this will only work when 'Derivative Level = 3' + * (the default; see Section 11.2). */ + + for (int i = 0; i < CJAC.length; ++i) { + CJAC[i] = 0; + } + + } + + if (NEEDC[0] > 0) { + + if (MODE == 0 || MODE == 2) { + C[0] = X[0]*X[0] + X[1]*X[1] + X[2]*X[2] + X[3]*X[3]; + } + + if (MODE == 1 || MODE == 2) { + CJAC[0] = X[0] + X[0]; + CJAC[LDCJ] = X[1] + X[1]; + CJAC[2*LDCJ] = X[2] + X[2]; + CJAC[3*LDCJ] = X[3] + X[3]; + } + + } + + if (NEEDC[1] > 0) { + + if (MODE == 0 || MODE == 2) { + C[1] = X[0]*X[1]*X[2]*X[3]; + } + + if (MODE == 1 || MODE == 2) { + CJAC[1] = X[1]*X[2]*X[3]; + CJAC[1+LDCJ] = X[0]*X[2]*X[3]; + CJAC[1+2*LDCJ] = X[0]*X[1]*X[3]; + CJAC[1+3*LDCJ] = X[0]*X[1]*X[2]; + } + + } + + } + + } + +} diff --git a/simple_examples/int32/E04YAJE.java b/simple_examples/int32/E04YAJE.java new file mode 100644 index 0000000..72d80da --- /dev/null +++ b/simple_examples/int32/E04YAJE.java @@ -0,0 +1,112 @@ +import com.nag.routines.E04.E04YA; + + +/** + * E04YA example program text. + * @author joed + */ +public class E04YAJE { + + public static LSQFUN lsqfun = new LSQFUN(); + public static final int LIW = 1, MDEC = 15, NDEC = 3; + public static final int LDFJAC = MDEC; + public static final int LW = 3*NDEC + MDEC + MDEC*NDEC; + public static double[] t = new double[MDEC*NDEC], y = new double[MDEC]; + + /** Routine to evaluate the residuals and their 1st derivatives. */ + public static class LSQFUN extends E04YA.Abstract_E04YA_LSQFUN { + + public void eval() { + double denom, dummy; + int i; + + for (i = 0; i < M; i++) { + denom = (XC[1] * t[MDEC + i]) + (XC[2] * t[2*MDEC + i]); + + if (IFLAG != 1) { + FVEC[i] = XC[0] + (t[i]/denom) - y[i]; + } + + if (IFLAG != 0) { + FJAC[i] = 1.0; + dummy = -1.0/(denom*denom); + FJAC[MDEC + i] = t[i] * t[MDEC + i] * dummy; + FJAC[2*MDEC + i] = t[i] * t[2*MDEC + i] * dummy; + } + + } + } + + } + + public static void main(String[] args) { + int i, ifail, m, n; + double[] fjac = new double[LDFJAC*NDEC], fvec = new double[MDEC], + w = new double[LW], x = new double[NDEC]; + int[] iw = new int[LIW]; + + System.out.println(" E04YAJ Example Program Results"); + + n = NDEC; + m = MDEC; + + /* Observations of TJ (J = 1, 2, ..., n) are held in T(I, J) + * (I = 1, 2, ..., m) */ + + y = new double[]{0.14, 0.18, 0.22, 0.25, 0.29, 0.32, 0.35, 0.39, 0.37, + 0.58, 0.73, 0.96, 1.34, 2.10, 4.39}; + for (i = 0; i < m; i++) { + t[i] = i + 1.0; + t[m + i] = 15.0 - i; + t[2*m + i] = -Math.abs(i - 7.0) + 8.0; + } + + /* Set up an arbitrary point at which to check the 1st derivatives */ + + x[0] = 0.19; + x[1] = -1.34; + x[2] = 0.88; + + System.out.println(); + System.out.println("The test point is"); + System.out.printf(" "); + for (i = 0; i < n; i++) { + System.out.printf("%10.5f", x[i]); + } + System.out.printf("\n"); + + E04YA e04ya = new E04YA(); + ifail = -1; + e04ya.eval(m, n, lsqfun, x, fvec, fjac, LDFJAC, iw, LIW, w, LW, ifail); + ifail = e04ya.getIFAIL(); + + if (ifail >= 0 && ifail != 1) { + + switch (ifail) { + case 0: + System.out.println(); + System.out.println("1st derivatives are consistent with residual values"); + break; + case 2: + System.out.println(); + System.out.println("Probable error in calculation of 1st derivatives"); + break; + default: + } + + System.out.println(); + System.out.println("At the test point, LSQFUN gives"); + System.out.println(); + System.out.println(" Residuals 1st derivatives"); + for (i = 0; i < m; i++) { + System.out.printf(" %15.3E", fvec[i]); + System.out.printf("%15.3E", fjac[i]); + System.out.printf("%15.3E", fjac[LDFJAC + i]); + System.out.printf("%15.3E\n", fjac[2*LDFJAC + i]); + } + + } + + } + +} diff --git a/simple_examples/int32/F01ADJE.java b/simple_examples/int32/F01ADJE.java new file mode 100644 index 0000000..4167f71 --- /dev/null +++ b/simple_examples/int32/F01ADJE.java @@ -0,0 +1,39 @@ +import com.nag.routines.F01.F01AD; +import com.nag.routines.X04.X04CA; + + +/** + * F01AD example program text. + * @author joed + */ +public class F01ADJE { + + public static void main(String[] args) { + + int i, ifail, lda, n; + double[] a; + + System.out.println(" F01ADJ Example Program Results"); + System.out.println(); + + n = 4; + lda = n + 1; + a = new double[] { + 5.0, 7.0, 6.0, 5.0, 0.0, + 7.0, 10.0, 8.0, 7.0, 0.0, + 6.0, 8.0, 10.0, 9.0, 0.0, + 5.0, 7.0, 9.0, 10.0, 0.0 + }; + + F01AD f01ad = new F01AD(); + ifail = -1; + f01ad.eval(n, a, lda, ifail); + ifail = f01ad.getIFAIL(); + + /* Print the result matrix A */ + X04CA x04ca = new X04CA(); + x04ca.eval("L", "B", lda, n, a, lda, "Lower triangle of inverse", ifail); + + } + +} diff --git a/simple_examples/int32/F01CKJE.java b/simple_examples/int32/F01CKJE.java new file mode 100644 index 0000000..ed3ffa2 --- /dev/null +++ b/simple_examples/int32/F01CKJE.java @@ -0,0 +1,60 @@ +import com.nag.routines.F01.F01CK; +import com.nag.routines.X04.X04CB; +import java.util.logging.Level; +import java.util.logging.Logger; + + +/** + * F01CK example program text. + * @author ludovic + */ +public class F01CKJE { + + public static void main(String[] args) { + + double[] a, b, c, z; + int n, p, m, iz, opt; + int ifail; + + m = 3; + n = p = 2; + iz = 1; + opt = 1; + a = new double[n * p]; + b = new double[n * m]; + c = new double[m * p]; + z = new double[iz]; + ifail = 0; + + System.out.println(" F01CKJ Example Program Results"); + + // Initialising b and c + + for (int i = 0; i < m; ++i) { + for (int j = 0; j < n; ++j) { + b[j+i*n] = (double) (i+j); + } + for (int j = 0; j < p; ++j) { + c[i+j*m] = (double) (i+j); + } + } + + F01CK f01ck = new F01CK(a, b, c, n, p, m, z, iz, opt, ifail); + f01ck.eval(); + ifail = f01ck.getIFAIL(); + String title = "Matrix A"; + System.out.println(); + System.out.flush(); + ifail = 0; + + String matrix = "G", diag = "N", nolabel = "N", form = "F7.1"; + String[] dummy = {" "}; + int ncols = 80; + int indent = 0; + + (new X04CB()).eval(matrix,diag,n,p,a,n,form,title,nolabel,dummy,nolabel, + dummy,ncols,indent, ifail); + + } + +} diff --git a/simple_examples/int32/F01CRJE.java b/simple_examples/int32/F01CRJE.java new file mode 100644 index 0000000..c10b284 --- /dev/null +++ b/simple_examples/int32/F01CRJE.java @@ -0,0 +1,47 @@ +import com.nag.routines.F01.F01CR; +import java.util.logging.Level; +import java.util.logging.Logger; + + +/** + * F01CR example program text. + * @author ludovic + */ +public class F01CRJE { + + public static void main(String[] args) { + System.out.println(" F01CRJ Example Program Results"); + double[] a; + int m,n,mn,lmove; + int[] move; + int ifail; + n = 7; + m = 3; + mn = m*n; + lmove = (m + n)/2; + a = new double[mn]; + move = new int[lmove]; + ifail = 1; + + for (int i = 0; i < mn; i++) { + a[i] = i+1.0; + } + + F01CR f01cr = new F01CR(a, m, n, mn, move, lmove, ifail); + f01cr.eval(); + + System.out.println(); + int index = 0; + for (int i = 0; i < mn; ++i) { + System.out.printf(" %7.1f",a[i]); + ++index; + if (index == 7) { + System.out.println(); + index = 0; + } + } + System.out.println(); + + } + +} diff --git a/simple_examples/int32/F01DGJE.java b/simple_examples/int32/F01DGJE.java new file mode 100644 index 0000000..107137f --- /dev/null +++ b/simple_examples/int32/F01DGJE.java @@ -0,0 +1,72 @@ +import com.nag.routines.F01.F01DG; +import com.nag.routines.X04.X04CA; + +/** + * F01DG example program text. + * @author joed + * @since 27.0.0.0 + */ +public class F01DGJE { + + /** + * F01DG example main program. + */ + public static void main(String[] args) { + + F01DG f01dg = new F01DG(); + X04CA x04ca = new X04CA(); + double alpha; + int i, ifail, lda, ldb, n; + String side, transa, uplo; // Length 1 + double[] a, b; + + System.out.println("F01DGJ Example Program Results\n"); + + // Values for side, uplo and transa + side = "L"; + uplo = "U"; + transa = "T"; + + // Order of square matrices + n = 4; + lda = n; + ldb = n; + + // Scaling constant alpha + alpha = 0.4; + + // Set input matrices (column-major order) + a = new double[]{ + 1.5, 0.0, 0.0, 0.0, + 2.3, 3.4, 0.0, 0.0, + 6.7, 5.4, 8.1, 0.0, + 1.9, 8.6, 2.0, 5.9 + }; + b = new double[]{ + 3.5, 0.0, 0.0, 0.0, + 2.1, 5.6, 0.0, 0.0, + 4.0, 2.1, 1.7, 0.0, + 2.1, 2.5, 1.1, 7.4 + }; + + /* ifail: behaviour on error exit + * = 0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft */ + ifail = 0; + + // Find B=alpha*A*B + f01dg.eval(side, uplo, transa, n, alpha, a, lda, b, ldb, ifail); + ifail = f01dg.getIFAIL(); + + // Print the solution + if (ifail == 0) { + if (transa.equals("N")) { + x04ca.eval(uplo, "N", n, n, b, n, "Solution matrix B", ifail); + } + else { + x04ca.eval("G", "N", n, n, b, n, "Solution matrix B", ifail); + } + } + + } + +} diff --git a/simple_examples/int32/F01ELJE.java b/simple_examples/int32/F01ELJE.java new file mode 100644 index 0000000..9986c6c --- /dev/null +++ b/simple_examples/int32/F01ELJE.java @@ -0,0 +1,89 @@ +import com.nag.routines.F01.F01EL; +import com.nag.routines.Routine; +import com.nag.routines.X04.X04CA; +import com.nag.types.NAGComplex; +import com.nag.types.NAGComplexInterface; +import java.util.Arrays; + +/** + * F01EL example program text. + * @author joed + */ +public class F01ELJE { + + public static void main(String[] args) { + + F01EL f01el = new F01EL(); + X04CA x04ca = new X04CA(); + + FCos2 fcos2 = new FCos2(); + double imnorm; + int i, ifail, iflag, lda, n; + double[] a, ruser = new double[1]; + int[] iuser = new int[1]; + + Routine.setComplex(new NAGComplex()); + + System.out.println(" F01ELJ Example Program Results"); + System.out.println(); + + // Problem data + n = 4; + a = new double[] { + 3.0, -1.0, 0.0, 2.0, 0.0, 1.0, 2.0, 1.0, 1.0, 3.0, 2.0, -1.0, 2.0, 1.0, 1.0, 1.0 + }; + + // Find f(A) + lda = n; + iflag = 0; + imnorm = 0; + ifail = 0; + f01el.eval(n, a, lda, fcos2, iuser, ruser, iflag, imnorm, ifail); + + // Print solution + ifail = 0; + x04ca.eval("G", "N", n, n, a, lda, "F(A) = COS(2A)", ifail); + + // Print the norm of the imaginary part to check it is small + System.out.println(); + System.out.println(" Imnorm = " + imnorm); + + } + + public static class FCos2 extends F01EL.Abstract_F01EL_F { + + /* These methods should really be part of an extension of NAGComplex. */ + + private NAGComplex complexCos(NAGComplexInterface z) { + NAGComplex cosz = new NAGComplex(); + cosz.setRe(Math.cos(z.getRe()) * Math.cosh(z.getIm())); + cosz.setIm(-Math.sin(z.getRe()) * Math.sinh(z.getIm())); + return cosz; + } + + private NAGComplex complexMult(NAGComplexInterface a, NAGComplexInterface b) { + NAGComplex ab = new NAGComplex(); + ab.setRe((a.getRe()*b.getRe()) - (a.getIm()*b.getIm())); + ab.setIm((a.getRe()*b.getIm()) + (a.getIm()*b.getRe())); + return ab; + } + + /* Calculate F(A) = COS(2A) */ + + public void eval() { + + NAGComplex two = new NAGComplex(); + two.setRe(2.0); + two.setIm(0.0); + + for (int i = 0; i < this.NZ; i++) { + this.FZ[i] = (NAGComplex) complexCos(complexMult(two, this.Z[i])); + } + + this.IFLAG = 0; + + } + + } + +} diff --git a/simple_examples/int32/F01EMJE.java b/simple_examples/int32/F01EMJE.java new file mode 100644 index 0000000..716a7b5 --- /dev/null +++ b/simple_examples/int32/F01EMJE.java @@ -0,0 +1,106 @@ +import com.nag.routines.F01.F01EM; +import com.nag.routines.X04.X04CA; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +/** + * F01EMJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class F01EMJE{ + + /** + * F01EMJ Example main program + */ + public static void main(String[] args){ + double imnorm = 0; + int ifail, iflag = 0, lda, n; //placeholders + double[] a, ruser; + int[] iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println("F01EMJ Example Program Results"); + System.out.println(); + + //Tell wrapper what type of complex type is going to be used + Routine.setComplex(new NAGComplex()); + + //Problem size + n = 4; + lda = n; + + //Allocate + a = new double[lda * n]; + + //Data + //A = ( 1, 0,-2, 1) + // (-1, 2, 0, 1) + // ( 2, 0, 1, 0) + // ( 1, 0,-2, 2) + a[0] = 1; + a[1] = -1; + a[2] = 2; + a[3] = 1; + a[4] = 0; + a[5] = 2; + a[6] = 0; + a[7] = 0; + a[8] = -2; + a[9] = 0; + a[10] = 1; + a[11] = -1; + a[12] = 1; + a[13] = 1; + a[14] = 0; + a[15] = 2; + + //Find f(A) + ifail = 0; + //Create fexp2 object to pass to wrapper + fexp2 f = new fexp2(); + F01EM f01em = new F01EM(n, a, lda, f, iuser, ruser, iflag, imnorm, ifail); + f01em.eval(); + + //Print solution + ifail = 0; + X04CA x04ca = new X04CA("G", "N", n, n, a, lda, "F(A) = EXP(2A)", ifail); + x04ca.eval(); + + //Print the norm oof the imaginary part to check if it small + System.out.println(); + System.out.printf("Imnorm = %.2f\n", imnorm); + } + + /** + * fexp2 class representing f routine argument + */ + public static class fexp2 extends F01EM.Abstract_F01EM_F{ + public void eval(){ + NAGComplex two = new NAGComplex(2, 0); + NAGComplex twoPowM = new NAGComplex(2, 0); + + twoPowM.setRe(Math.pow(2, this.M)); + + for(int i = 0; i < this.NZ; i++){ + this.FZ[i] = NAGComplex.multiply(twoPowM, this.complexExp(NAGComplex.multiply(two, (NAGComplex) this.Z[i]))); + } + + //Set iflag nonzero to terminate exectuion for any reason + this.IFLAG = 0; + } + + //Raises e ^ z where z is a complex number + //Uses eulers formula; + //c ^ (a + bi) = c^a * ((cos(bln(c))) + isin(bln(c))) + public NAGComplex complexExp(NAGComplex x){ + NAGComplex tmp = new NAGComplex(); + tmp.setRe(Math.cos(x.getIm())); + tmp.setIm(Math.sin(x.getIm())); + NAGComplex ans = NAGComplex.multiply(new NAGComplex(Math.exp(x.getRe()), 0), tmp); + return ans; + } + } +} diff --git a/simple_examples/int32/F02EKJE.java b/simple_examples/int32/F02EKJE.java new file mode 100644 index 0000000..3737022 --- /dev/null +++ b/simple_examples/int32/F02EKJE.java @@ -0,0 +1,227 @@ +import com.nag.routines.F02.F02EK; +import com.nag.routines.F12.F12AD; +import com.nag.routines.Routine; +import com.nag.routines.X02.X02AJ; +import com.nag.types.NAGComplex; +import com.nag.types.NAGComplexInterface; +import java.util.Arrays; + +/** + * F02EK example program text. + * @author joed + */ +public class F02EKJE { + + public static MYMONIT mymonit = new MYMONIT(); + public static MYOPTION myoption = new MYOPTION(); + + public static void main(String[] args) { + F02EK f02ek = new F02EK(); + X02AJ x02aj = new X02AJ(); + double h, rho, s, sigma; + int ifail, imon, k, ldv, maxit, mode, n, nconv, ncv, nev, nnz, nx, + prtlvl; + NAGComplex complex = new NAGComplex(); + double[] a, resid, v, ruser = new double[1]; + int[] icolzp, irowix, iuser = new int[4]; + NAGComplex[] w; + + Routine.setComplex(complex); + + System.out.println(" F02EKJ Example Program Results"); + System.out.println(); + + nx = 10; + nev = 4; + ncv = 20; + rho = 10.0; + sigma = 5.5; + + n = nx * nx; + nnz = 3*n - 2; + ldv = n; + + resid = new double[ncv]; + a = new double[nnz]; + icolzp = new int[n + 1]; + irowix = new int[nnz]; + w = (NAGComplex[]) complex.getArrayOfInstances(ncv); + v = new double[ldv * ncv]; + + // Construct A in compressed column storage (CCS) format where: + // A{ i , i } = 2 + i + // A{i+1, i } = 3 + // A{ i , i+1} = rho/(2n+2) - 1 + + h = 1.0 / (double)(n+1); + s = (rho * h / 2.0) - 1.0; + + a[0] = 2.0 + 1.0; + a[1] = 3.0; + icolzp[0] = 1; + irowix[0] = 1; + irowix[1] = 2; + k = 3; + + for (int i = 1; i < n - 1; i++) { + icolzp[i] = k; + irowix[k - 1] = i; + irowix[k] = i + 1; + irowix[k + 1] = i + 2; + a[k - 1] = s; + a[k] = 2.0 + (double)(i + 1); + a[k + 1] = 3.0; + k += 3; + } + + icolzp[n - 1] = k; + icolzp[n] = k + 2; + irowix[k - 1] = n - 1; + irowix[k] = n; + a[k - 1] = s; + a[k] = 2.0 + (double)(n); + + // Set some options via iuser array and return routine argument OPTION + // iuser[0] = print level + // iuser[1] = iteration limit + // iuser[2] > 0 means shifted-invert mode + // iuser[3] > 0 means print monitoring info + + prtlvl = 0; + maxit = 500; + mode = 1; + imon = 1; + + if (prtlvl > 0) { + imon = 0; + } + + iuser[0] = prtlvl; + iuser[1] = maxit; + iuser[2] = mode; + iuser[3] = imon; + + nconv = 0; // placeholder value, nconv is output only + ifail = 0; // hard exit on error + + f02ek.eval( + n, nnz, a, icolzp, irowix, nev, ncv, sigma, mymonit, myoption, + nconv, w, v, ldv, resid, iuser, ruser, ifail + ); + ifail = f02ek.getIFAIL(); + nconv = f02ek.getNCONV(); + + System.out.println(); + System.out.printf( + " The %4d Ritz values of closest to %13.5E are:\n", nconv, sigma + ); + + // Get machine precision + double mp = x02aj.eval(); + + for (int i = 0; i < nconv; i++) { + if (resid[i] > (double)(100*n*mp)) { + System.out.printf( + " %8d ( %13.5E , %13.5E ) %13.5E\n", + i + 1, w[i], resid[i] + ); + } + else { + System.out.printf( + " %8d ( %13.5E , %13.5E )\n", + i + 1, w[i].getRe(), w[i].getIm() + ); + } + } + + } + + public static class MYOPTION extends F02EK.Abstract_F02EK_OPTION { + + public void eval() { + F12AD f12ad = new F12AD(); + int ifail1; + String rec = " "; + + this.ISTAT = 0; + + if (this.IUSER[0] > 0) { + System.out.printf("Print Level=%5d\n", this.IUSER[0]); + ifail1 = 1; + f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[1] > 100) { + System.out.printf("Iteration Limit=%5d\n", this.IUSER[1]); + ifail1 = 1; + f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[2] > 0) { + ifail1 = 1; + f12ad.eval( + "Shifted Inverse Real ", this.ICOMM, this.COMM, ifail1 + ); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + } + + } + + public static class MYMONIT extends F02EK.Abstract_F02EK_MONIT { + + public NAGComplexInterface[] getW() { + return this.W; + } + + public void eval() { + + if (this.IUSER[3] > 0) { + + if (this.NITER == 1 && this.IUSER[2] > 0) { + System.out.printf( + " Arnoldi basis vectors used:%4d\n", this.NCV + ); + System.out.printf( + " The following Ritz values (mu) are related to the\n" + + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" + ); + } + + System.out.println(); + System.out.printf(" Iteration number %4d\n", this.NITER); + System.out.printf( + " Ritz values converged so far (%4d) and their Ritz" + + " estimates:\n", this.NCONV + ); + + for (int i = 0; i < this.NCONV; i++) { + System.out.printf( + " %4d (%13.5E,%13.5E) %13.5E\n", + i + 1, this.W[i].getRe(), this.W[i].getIm(), + this.RZEST[i] + ); + } + + System.out.printf(" Next (unconverged) Ritz value:\n"); + + System.out.printf( + " %4d (%13.5E,%13.5E)\n", + this.NCONV + 1, this.W[NCONV].getRe(), this.W[NCONV].getIm() + ); + + } + + this.ISTAT = 0; + + } + + } + +} diff --git a/simple_examples/int32/F02FKJE.java b/simple_examples/int32/F02FKJE.java new file mode 100644 index 0000000..0dd7ab9 --- /dev/null +++ b/simple_examples/int32/F02FKJE.java @@ -0,0 +1,230 @@ +import com.nag.routines.F02.F02FK; +import com.nag.routines.F12.F12FD; +import com.nag.routines.X04.X04AB; +import com.nag.routines.X04.X04CA; +import java.util.Arrays; + +/** + * F02FK example program text. + * @author joed + */ +public class F02FKJE { + + public static MYMONIT mymonit = new MYMONIT(); + public static MYOPTION myoption = new MYOPTION(); + + public static void main(String[] args) { + F02FK f02fk = new F02FK(); + X04AB x04ab = new X04AB(); + X04CA x04ca = new X04CA(); + double h2, sigma; + int iset = 1, ifail, imon, k, ldv, lo, maxit, mode, n, nconv, ncv, nev, + nnz, nx, outchn, prtlvl; + double[] a, dPrint, resid, v, w, ruser = new double[1]; + int[] icol, irow, iuser = new int[4]; + + + System.out.println(" F02FKJ Example Program Results"); + System.out.println(); + + nx = 20; + nev = 8; + ncv = 20; + sigma = 1.0; + + // Construct the matrix A in sparse form and store in A. + // The main diagonal of A is full and there are two subdiagonals of A: + // the first and the nx-th. + + n = nx * nx; + nnz = (3 * n) - (2 * nx); + a = new double[nnz]; + irow = new int[nnz]; + icol = new int[nnz]; + + // Zero out A. + Arrays.fill(a, 0.0); + + // Main diagonal of A. + h2 = 1.0 / (double)((nx + 1) * (nx + 1)); + for (int i = 1; i <= n; i++) { + irow[i - 1] = i; + icol[i - 1] = i; + a[i - 1] = 4.0 / h2; + } + + // First subdiagonal of A. + k = n; + for (int i = 1; i <= nx; i++) { + lo = (i - 1) * nx; + for (int j = lo + 1; j <= lo + nx - 1; j++) { + k += 1; + irow[k - 1] = j + 1; + icol[k - 1] = j; + a[k - 1] = -1.0 / h2; + } + } + + // nx-th subdiagonal. + for (int i = 1; i <= nx - 1; i++) { + lo = (i - 1) * nx; + for (int j = lo + 1; j <= lo + nx; j++) { + k += 1; + irow[k - 1] = j + nx; + icol[k - 1] = j; + a[k - 1] = -1.0 / h2; + } + } + + // Set some options via iuser array and routine argument OPTION. + // iuser[0] = print level, + // iuser[1] = iteration limit, + // iuser[2]>0 means shifted-invert mode + // iuser[3]>0 means print monitoring info + + prtlvl = 0; + maxit = 500; + mode = 1; + imon = 0; + + ruser[0] = 1.0; + iuser[0] = prtlvl; + iuser[1] = maxit; + iuser[2] = mode; + iuser[3] = imon; + + // Find eigenvalues of largest magnitude and the corresponding + // eigenvectors. + + ldv = n; + w = new double[ncv]; + v = new double[ldv * ncv]; + resid = new double[n]; + + nconv = 0; // placeholder + + ifail = -1; + f02fk.eval( + n, nnz, a, irow, icol, nev, ncv, sigma, mymonit, myoption, nconv, + w, v, ldv, resid, iuser, ruser, ifail + ); + ifail = f02fk.getIFAIL(); + nconv = f02fk.getNCONV(); + if (ifail != 0) { + System.err.println(" ** F02FK returned with IFAIL = " + ifail); + } + + + + // Print Eigenvalues and the residual norm ||A*x - lambda*x||. + dPrint = new double[nconv * 2]; + for (int i = 1; i <= nconv; i++) { + dPrint[getIdx(i, 1, nconv)] = w[i - 1]; + dPrint[getIdx(i, 2, nconv)] = resid[i - 1]; + } + + System.out.println(); + + ifail = 0; + x04ca.eval( + "G", "N", nconv, 2, dPrint, nconv, " Ritz values and residuals", + ifail + ); + + } + + public static class MYOPTION extends F02FK.Abstract_F02FK_OPTION { + + public void eval() { + F12FD f12fd = new F12FD(); + int ifail1; + String rec = " "; // Required len = 25 + + this.ISTAT = 0; + + if (this.IUSER[0] > 0) { + System.out.printf(" Print Level=%5d\n", this.IUSER[0]); + ifail1 = 1; + f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12fd.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[1] > 100) { + System.out.printf(" Iteration Limit=%5d\n", this.IUSER[1]); + ifail1 = 1; + f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12fd.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[2] > 0) { + ifail1 = 1; + f12fd.eval( + "Shifted Inverse ", this.ICOMM, this.COMM, ifail1 + ); + ifail1 = f12fd.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + } + + } + + public static class MYMONIT extends F02FK.Abstract_F02FK_MONIT { + + public void eval() { + + if (this.IUSER[3] > 0) { + + if (this.NITER == 1 && this.IUSER[2] > 0) { + System.out.printf( + " Arnoldi basis vectors used:%4d\n", this.NCV + ); + System.out.printf( + " The following Ritz values (mu) are related to the\n" + + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" + ); + } + + System.out.println(); + System.out.printf(" Iteration number %4d\n", this.NITER); + System.out.printf( + " Ritz values converged so far(%4d) and their Ritz" + + " estimates:\n", this.NCONV + ); + + for (int i = 0; i < this.NCONV; i++) { + System.out.printf( + " %4d %13.5E %13.5E\n", i+1, this.W[i], this.RZEST[i] + ); + } + + System.out.printf(" Next (uncoverged) Ritz value:\n"); + System.out.printf( + " %4d %13.5E\n", this.NCONV + 1, this.W[this.NCONV + 1] + ); + + } + + this.ISTAT = 0; + + } + + } + + /** + * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based + * Java index. + * + *

    Fortran array definition: + * a(dimX, *) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + +} diff --git a/simple_examples/int32/F02WGJE.java b/simple_examples/int32/F02WGJE.java new file mode 100644 index 0000000..36c26c6 --- /dev/null +++ b/simple_examples/int32/F02WGJE.java @@ -0,0 +1,132 @@ +import com.nag.routines.F02.F02WG; +import java.util.Arrays; + +/** + * F02WG example program text. + * @author joed + */ +public class F02WGJE { + + public static AV av = new AV(); + + public static void main(String[] args) { + int ifail, k, ldu, ldv, m, n, nconv, ncv; + double[] resid, sigma, u, v; + double[] ruser = new double[1]; + int[] iuser = new int[1]; + + /* Set up wrappers */ + F02WG f02wg = new F02WG(); + + System.out.println(" F02WGJ Example Program Results\n"); + + /* Set F02WG args */ + m = 100; + n = 500; + k = 4; + ncv = 10; + nconv = 0; + ldu = m; + ldv = n; + resid = new double[ncv]; + sigma = new double[ncv]; + u = new double[ldu * ncv]; + v = new double[ldv * ncv]; + ifail = 0; + + /* Call routine */ + f02wg.eval( + m, // Rows in A + n, // Cols in A + k, // Num. of singular values to be computed + ncv, // Dimension of sigma and resid + av, // Subroutine that returns Ax or (A^T)x + nconv, // [Output] + sigma, // [Output] + u, // [Output] + ldu, // 1st dimension of u + v, // [Output] + ldv, // 1st dimension of v + resid, // [Output] + iuser, + ruser, + ifail + ); + + /* Get non-array output args */ + ifail = f02wg.getIFAIL(); + nconv = f02wg.getNCONV(); + + /* Print results */ + System.out.println(" Singular Value Residual"); + for (int i = 0; i < nconv; i++) { + System.out.printf( + " %10.5f %10.2G\n", sigma[i], resid[i] + ); + } + + } + + public static class AV extends F02WG.Abstract_F02WG_AV { + + public void eval() { + + double H = 1.0 / ((double)(this.M + 1)); + double K = 1.0 / ((double)(this.N + 1)); + + if (this.IFLAG == 1) { + + for (int i = 0; i < this.M; i++) { + this.AX[i] = 0.0; + } + + double S = 0.0; + double T = 0.0; + + for (int j = 0; j < this.N; j++) { + T += K; + S = 0.0; + + for (int i = 0; i < Math.min(j+1, this.M); i++) { + S += H; + this.AX[i] += K * S * (T - 1.0) * this.X[j]; + } + for (int i = j + 1; i < this.M; i++) { + S += H; + this.AX[i] += K * T * (S - 1.0) * this.X[j]; + } + + } + + } + else { + + for (int i = 0; i < this.N; i++) { + this.AX[i] = 0.0; + } + + double S = 0.0; + double T = 0.0; + + for (int j = 0; j < this.N; j++) { + T += K; + S = 0.0; + + for (int i = 0; i < Math.min(j+1, this.M); i++) { + S += H; + this.AX[j] += K * S * (T - 1.0) * this.X[i]; + } + for (int i = j + 1; i < this.M; i++) { + S += H; + this.AX[j] += K * T * (S - 1.0) * this.X[i]; + } + + } + + } + + } + + } + +} diff --git a/simple_examples/int32/F03BAJE.java b/simple_examples/int32/F03BAJE.java new file mode 100644 index 0000000..673ddec --- /dev/null +++ b/simple_examples/int32/F03BAJE.java @@ -0,0 +1,108 @@ +import com.nag.routines.F03.F03BA; +import com.nag.routines.F07.F07AD; +import com.nag.routines.X04.X04CA; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * F03BAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class F03BAJE{ + + /** + * F03BAJ example main program. + */ + public static void main(String[] args){ + double d = 0; + int id = 0, ifail, info = 0, lda = 0, n = 0; + double[] a; + int[] ipiv; + + //Should initialise values so java doesn't give any errors because of try/catch + a = new double[n]; + ipiv = new int[n]; + + System.out.println("F03BAJ Example Program Results"); + + //If file name not given print usage info + if(args.length != 1){ + F03BAJE.usage(); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[1]); + + lda = n; + + //reallocate with values from data file + a = new double[n * lda]; + ipiv = new int[n]; + + //read in matrix + for(int i = 0; i < n; i++){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < n; j++){ + a[i + (j * n)] = Double.parseDouble(sVal[j]); + } + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + F07AD f07ad = new F07AD(n, n, a, lda, ipiv, info); + f07ad.eval(); + + ifail = 0; + + //Print out matrix + System.out.println(); + X04CA x04ca = new X04CA("G", "N", n, n, a, lda, "Array A after factorization", ifail); + x04ca.eval(); + + System.out.println(); + System.out.println("Pivots"); + for(int i = 0; i < n; i++){ + System.out.printf("\t%d ", ipiv[i]); + } + System.out.printf("\n"); + System.out.println(); + + ifail = 0; + + F03BA f03ba = new F03BA(n, a, lda, ipiv, d, id, ifail); + f03ba.eval(); + d = f03ba.getD(); + id = f03ba.getID(); + + System.out.printf("D = \t%.5f ID = \t%d\n", d, id); + System.out.println(); + System.out.printf("Value of determinant = %.5e\n", d * Math.pow(2.0, id)); + + } + + /** + * Print usage information. + */ + private static void usage(){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + +} + diff --git a/simple_examples/int32/F04AMJE.java b/simple_examples/int32/F04AMJE.java new file mode 100644 index 0000000..a498b2b --- /dev/null +++ b/simple_examples/int32/F04AMJE.java @@ -0,0 +1,114 @@ +import com.nag.routines.F04.F04AM; +import com.nag.routines.X02.X02AJ; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * F04AMJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class F04AMJE{ + + /** + * F04AMJ example main program. + */ + public static void main(String[] args){ + int m = 0, n = 0; + int ifail, ir, lda, ldb, ldqr, ldx; + double eps; + double[] a, b, alpha, e, qr, r, x, y, z; + int[] ipiv; + + System.out.println("F04AMJ Example Program Results"); + + if(args.length != 1){ + F04AMJE.usage(); + } + + //declare so try/catch works + a = new double[0]; + b = new double[0]; + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + m = Integer.parseInt(sVal[1]); + n = Integer.parseInt(sVal[2]); + + a = new double[m * n]; + b = new double[m * 1]; + + for(int i = 0; i < m; i++){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < n; j++){ + a[i + (j * m) ] = Double.parseDouble(sVal[j]); + } + for(int j = n; j < m; j++){ + b[i + (j * (m - (n + 1)))] = Double.parseDouble(sVal[j]); + } + } + } + catch(FileNotFoundException err){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException err){ + System.err.println("***FATAL: Can't read " + filename + "\n" + err.getMessage()); + } + //Setting these in try block is more robust but less neat + //May be needed for array sizes~ + ir = 1; + lda = m; + ldb = m; + ldqr = m; + ldx = n; + + alpha = new double[n]; + e = new double[n]; + qr = new double[ldqr * n]; + r = new double[m]; + x = new double[ldx * ir]; + y = new double[n]; + z = new double[n]; + ipiv = new int[n]; + + X02AJ x02aj = new X02AJ(); + eps = x02aj.eval(); + + ifail = 0; + + F04AM f04am = new F04AM(a, lda, x, ldx, b, ldb, m, n, ir, eps, qr, ldqr, alpha, e, y, z, r, ipiv, ifail); + f04am.eval(); + //update any values you want here + x = f04am.getX(); + + System.out.println("Solution"); + for(int i = 0; i < n; i++){ + for(int j = 0; j < ir; j++){ + System.out.printf("%.4f ", x[j + (i * ir)]); + } + System.out.printf("\n"); + } + } + + /** + * No arguments supplied when example runs + */ + private static void usage() { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} + + + + + + diff --git a/simple_examples/int32/F04BAJE.java b/simple_examples/int32/F04BAJE.java new file mode 100644 index 0000000..79c2b01 --- /dev/null +++ b/simple_examples/int32/F04BAJE.java @@ -0,0 +1,144 @@ +import com.nag.routines.F04.F04BA; +import com.nag.routines.X04.X04CA; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * F04BAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class F04BAJE{ + + /** + * F04BAJ example main program. + */ + public static void main(String[] args){ + int n = 0, nrhs = 0, lda = 0, ldb = 0; //placeholder + int ierr, ifail; + double errbnd, rcond; + double a[], b[]; + int ipiv[]; + + a = new double[0]; b = new double[0]; //placeholder + + if(args.length != 1){ + F04BAJE.usage(); + } + + System.out.println("F04BAJ Example Program Results"); + System.out.println(); + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[1]); + nrhs = Integer.parseInt(sVal[2]); + + lda = n; + ldb = n; + + a = new double[lda * n]; + b = new double[ldb * nrhs]; + + line = reader.readLine(); + for(int i = 0; i < lda; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < n; j++){ + a[i + (j * n)] = Double.parseDouble(sVal[j + 1]); + } + } + + line = reader.readLine(); + for(int i = 0; i < ldb; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < nrhs; j++){ + b[i + (j * n)] = Double.parseDouble(sVal[j + 1]); + } + } + + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = 1; + ipiv = new int[n]; + rcond = 0; + errbnd = 0; + F04BA f04ba = new F04BA(n, nrhs, a, lda, ipiv, b, ldb, rcond, errbnd, ifail); + f04ba.eval(); + + ifail = f04ba.getIFAIL(); + rcond = f04ba.getRCOND(); + errbnd = f04ba.getERRBND(); + ipiv = f04ba.getIPIV(); + a = f04ba.getA(); + b = f04ba.getB(); + + if(ifail == 0){ + //Print solution, estimate of condition number and approximate error bound. + ierr = 0; + X04CA x04ca = new X04CA("General", " ", n, nrhs, b, ldb, "Solution", ierr); + x04ca.eval(); + + System.out.println(); + System.out.println("Estimate of condition number"); + System.out.printf("%.1e\n", 1/rcond); + System.out.println(); + System.out.println("Esttimate of error bound for computed solutions"); + System.out.printf("%.1e\n", errbnd); + } + else if(ifail == (n + 1)){ + //Matrix A is numerically singular. Print estimate of reciprocal of condition number and solution. + System.out.println(); + System.out.println("Estimate of reciprocal of condition number"); + System.out.printf("%.1e\n", rcond); + System.out.println(); + + ierr = 0; + X04CA x04ca = new X04CA("General", " ", n, nrhs, b, ldb, "Solution", ierr); + x04ca.eval(); + } + else if(ifail > 0 && ifail <= n){ + //The upper triangular matrix U is exactly singular. Print details of factorization. + System.out.println(); + + ierr = 0; + X04CA x04ca = new X04CA("General", " ", n, n, a, lda, "Details of factorization", ierr); + x04ca.eval(); + + System.out.println(); + System.out.println("Pivot indices"); + for(int i = 0; i < n; i++){ + System.out.printf("%d ", ipiv[i]); + } + System.out.printf("\n"); + } + else{ + System.out.printf(" ** F04BAF returned with IFAIL = %d\n", ifail); + } + + } + + /** + * No arguments supplied when example runs + */ + private static void usage() { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} diff --git a/simple_examples/int32/F05AAJE.java b/simple_examples/int32/F05AAJE.java new file mode 100644 index 0000000..317c269 --- /dev/null +++ b/simple_examples/int32/F05AAJE.java @@ -0,0 +1,99 @@ +import com.nag.routines.F05.F05AA; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * F05AAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class F05AAJE{ + + /** + * F05AAJ example main program. + */ + public static void main(String[] args) { + //Should initialise values to avoid issues with try/catch + int icol = 0, ifail = 0, lda = 0, m = 0, n1 = 0, n2 = 0; + double cc = 0; + double[] a, s; + + //same as ints + a = new double[1]; + s = new double[1]; + System.out.println("F05AAJ Example Program Results"); + System.out.println(); + + //supply data + if(args.length != 1){ + F05AAJE.usage(); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+");; + m = Integer.parseInt(sVal[1]); + n1 = Integer.parseInt(sVal[2]); + n2 = Integer.parseInt(sVal[3]); + lda = m; + + a = new double[lda*n2]; + s = new double[n2]; + + //read in a from data + for(int i = 0; i < n2; i++){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < m; j++){ + a[i + (j * n2)] = Double.parseDouble(sVal[j]); + } + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + //create object then eval + F05AA f05aa = new F05AA(a, lda, m, n1, n2, s, cc, icol, ifail); + f05aa.eval(); + + //update values + n1 = f05aa.getN1(); + n2 = f05aa.getN2(); + cc = f05aa.getCC(); + icol = f05aa.getICOL(); + a = f05aa.getA(); + + System.out.printf("N1 = %d N2 = %d\n", n1, n2); + System.out.println(); + System.out.printf("CC = %.4f ICOL = %d\n", cc, icol); + System.out.println(); + System.out.println("Final Vectors"); + + for(int i = 0; i < n2; i++){ + for(int j = 1; j < m; j++){ + System.out.printf("%.4f ", a[i +(j * n2)]); + } + System.out.printf("\n"); + } + } + + /** + * Print usage information. + */ + private static void usage(){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} + diff --git a/simple_examples/int32/F06CLJE.java b/simple_examples/int32/F06CLJE.java new file mode 100644 index 0000000..ca2ac5e --- /dev/null +++ b/simple_examples/int32/F06CLJE.java @@ -0,0 +1,40 @@ +import com.nag.routines.F06.F06CL; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +/** + * F06CL example program text. + * @author ludovic + */ +public class F06CLJE { + + public static void main(String[] args) { + boolean fail = false; + NAGComplex z1 = new NAGComplex(); + NAGComplex z2 = new NAGComplex(); + NAGComplex z3 = new NAGComplex(); + + System.out.println(" F06CLJ Example Program Results"); + System.out.println(); + + Routine.complex = z1; + + z1.setRe(1.0); + z1.setIm(1.0); + z2.setRe(2.0); + z2.setIm(2.0); + + F06CL f06cl = new F06CL(z1,z2,fail); + z3 = (NAGComplex)f06cl.eval(); + fail = f06cl.getFAIL(); + + if (fail) { + System.err.println(" Something went wrong..."); + } + else { + System.out.println(" " + z1.toString() + "/"+ z2.toString() + " = " + z3.toString()); + } + + } + +} diff --git a/simple_examples/int32/F07AAJE.java b/simple_examples/int32/F07AAJE.java new file mode 100644 index 0000000..26eb5dc --- /dev/null +++ b/simple_examples/int32/F07AAJE.java @@ -0,0 +1,90 @@ +import com.nag.routines.F07.F07AA; +import com.nag.routines.X04.X04CA; +import java.util.Arrays; + +/** + * F07AA example program text. + * @author joed + */ +public class F07AAJE { + + public static void main(String[] args) { + + int i, ifail, info, lda, ldb, n; + double[] a, b; + int[] ipiv; + + System.out.println(" F07AAJ Example Program Results"); + System.out.println(); + + n = 4; + lda = n; + ldb = n; + + a = new double[n*n]; + b = new double[n]; + ipiv = new int[n]; + + a[0+0*n] = 1.80; + a[0+1*n] = 2.88; + a[0+2*n] = 2.05; + a[0+3*n] = -0.89; + a[1+0*n] = 5.25; + a[1+1*n] = -2.95; + a[1+2*n] = -0.95; + a[1+3*n] = -3.80; + a[2+0*n] = 1.58; + a[2+1*n] = -2.69; + a[2+2*n] = -2.90; + a[2+3*n] = -1.04; + a[3+0*n] = -1.11; + a[3+1*n] = -0.66; + a[3+2*n] = -0.59; + a[3+3*n] = 0.80; + + b[0] = 9.52; + b[1] = 24.35; + b[2] = 0.77; + b[3] = -6.22; + + /* Solve the equations Ax = b for x */ + + F07AA f07aa = new F07AA(); + info = 0; + f07aa.eval(n, 1, a, lda, ipiv, b, ldb, info); + info = f07aa.getINFO(); + + if (info == 0) { + + /* Print solution */ + + System.out.println(" Solution"); + for (i = 0; i < n; i++) { + System.out.printf(" %11.4f", b[i]); + } + System.out.printf("\n"); + + /* Print details of factorization */ + + System.out.println(); + X04CA x04ca = new X04CA(); + ifail = 0; + x04ca.eval("General", " ", n, n, a, lda, "Details of factorization", ifail); + + /* Print pivot indices */ + + System.out.println(); + System.out.println(" Pivot indices"); + for (i = 0; i < n; i++) { + System.out.printf(" %11d", ipiv[i]); + } + System.out.printf("\n"); + + } + else { + System.err.printf(" The (%3d,%3d) element of the factor U is zero\n", info, info); + } + + } + +} diff --git a/simple_examples/int32/F07ABJE.java b/simple_examples/int32/F07ABJE.java new file mode 100644 index 0000000..6362739 --- /dev/null +++ b/simple_examples/int32/F07ABJE.java @@ -0,0 +1,134 @@ +import com.nag.routines.F07.DGESVX; +import com.nag.routines.X04.X04CA; + +/** + * F07ABJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class F07ABJE{ + + /** + * F07ABJ example main program + */ + public static void main(String[] args){ + double rcond = 0; + int ifail, info = 0, lda, ldaf, ldb, ldx, n, nrhs; //placeholders + String equed; + double[] a, af, b, berr, c, ferr, r, work, x; + int[] ipiv, iwork; + + System.out.println("F07ABJ Example Program Results"); + System.out.println(); + + //Problem size + n = 4; + nrhs = 2; + lda = n; + ldaf = n; + ldb = n; + ldx = n; + + //Allocate + a = new double[lda * n]; + af = new double[ldaf * n]; + b = new double[ldb * nrhs]; + berr = new double[nrhs]; + c = new double[n]; + ferr = new double[nrhs]; + r = new double[n]; + work = new double[4 * n]; + x = new double[ldx * nrhs]; + ipiv = new int[n]; + iwork = new int[n]; + equed = " "; + + //Matrices A and B + a[0] = 1.8; + a[1] = 525; + a[2] = 1.58; + a[3] = -1.11; + a[4] = 2.88; + a[5] = -295; + a[6] = -2.69; + a[7] = -0.66; + a[8] = 2.05; + a[9] = -95; + a[10] = -2.9; + a[11] = -0.59; + a[12] = -0.89; + a[13] = -380; + a[14] = -1.04; + a[15] = 0.8; + b[0] = 9.52; + b[1] = 2435; + b[2] = 0.77; + b[3] = -6.22; + b[4] = 18.47; + b[5] = 225; + b[6] = -13.28; + b[7] = -6.21; + + //Solve the equations AX = B for X + //The NAG name equivalent of dgesvx is f07abf + DGESVX dgesvx = new DGESVX("Equilibration", "No Transpose", n, nrhs, a, lda, af, ldaf, ipiv, equed, r, + c, b, ldb, x, ldx, rcond, ferr, berr, work, iwork, info); + dgesvx.eval(); + + //Update + info = dgesvx.getINFO(); + equed = dgesvx.getEQUED(); + rcond = dgesvx.getRCOND(); + + if(info == 0 || info == n + 1){ + //Print solution, error bounds, condition number, the form of equilibration and the pivot growth factor + + //ifail: behaviour on error exit + // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft + ifail = 0; + X04CA x04ca = new X04CA("General", " ", n, nrhs, x, ldx, "Solution(s)", ifail); + x04ca.eval(); + + System.out.println(); + System.out.println("Backward errors (machine-dependent)"); + for(int i = 0; i < nrhs; i++){ + System.out.printf(" %.1e ", berr[i]); + } + System.out.println(); + System.out.println(); + System.out.println("Estimated forward error bounds (machine-dependent)"); + for(int i = 0; i < nrhs; i++){ + System.out.printf(" %.1e ", ferr[i]); + } + System.out.println(); + System.out.println(); + if(equed.equals("N")){ + System.out.println("A has not been equilibrated"); + } + else if(equed.equals("R")){ + System.out.println("A has been row scaled as diag(R)*A"); + } + else if(equed.equals("C")){ + System.out.println("A has been column scaled as A*diag(C)"); + } + else if(equed.equals("B")){ + System.out.println("A has been row and column scaled as diag(R)*A*diag(C)"); + } + System.out.println(); + System.out.println("Reciprocal condition number estimate of scaled matrix"); + System.out.printf(" %.1e\n", rcond); + System.out.println(); + System.out.println("Estimate of reciprocal pivot growth factor"); + System.out.printf(" %.1e\n", work[0]); + System.out.println(); + + if(info == n + 1){ + System.out.println(); + System.out.println("The matrix A is singular to working precision"); + } + } + else{ + System.out.println("The (" + info + ", " + info + ")" + " element of the factor U is zero"); + } + } +} diff --git a/simple_examples/int32/F07ADJE.java b/simple_examples/int32/F07ADJE.java new file mode 100644 index 0000000..4450683 --- /dev/null +++ b/simple_examples/int32/F07ADJE.java @@ -0,0 +1,72 @@ +import com.nag.routines.F07.DGETRF; +import com.nag.routines.X04.X04CA; + +/** + * F07ADJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class F07ADJE{ + + /** + * F07ADJ Example main program + */ + public static void main(String[] args){ + int ifail, info = 0, lda, m, n; + double[] a; + int[] ipiv; + + System.out.println("F07ADJ Example Program Results"); + System.out.println(); + + //Problem size (can be read from data file) + m = 4; + n = 4; + lda = m; + + //Data + ipiv = new int[n]; + a = new double[m * n]; + a[0] = 1.8; + a[1] = 5.25; + a[2] = 1.58; + a[3] = -1.11; + a[4] = 2.88; + a[5] = -2.95; + a[6] = -2.69; + a[7] = -0.66; + a[8] = 2.05; + a[9] = -0.95; + a[10] = -2.9; + a[11] = -0.59; + a[12] = -0.89; + a[13] = -3.8; + a[14] = -1.04; + a[15] = 0.8; + + //Factorize A + //The NAG name equivalent of dgetrf is F07ADF + DGETRF dgetrf = new DGETRF(m, n, a, lda, ipiv, info); + dgetrf.eval(); + + //Update + info = dgetrf.getINFO(); + + //ifail: behaviour on error exit + // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft + ifail = 0; + X04CA x04ca = new X04CA("General", " ", m, n, a, lda, "Details of factorization", ifail); + x04ca.eval(); + + //Print pivot indices + System.out.println("IPIV"); + for(int i = 0; i < Math.min(m, n); i++){ + System.out.printf("\t%d", ipiv[i]); + } + System.out.println(); + + if(info != 0){ + System.out.println("The factor U is singular"); + } + } +} diff --git a/simple_examples/int32/F07AQJE.java b/simple_examples/int32/F07AQJE.java new file mode 100644 index 0000000..5ee47e5 --- /dev/null +++ b/simple_examples/int32/F07AQJE.java @@ -0,0 +1,99 @@ +import com.nag.routines.F07.F07AQ; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; +import com.nag.types.NAGComplexF; + +/** + * F07AQ example program text. + * @author joed + * @since 27.1.0.0 + */ +public class F07AQJE { + + public static void main(String[] args) { + + F07AQ f07aq = new F07AQ(); + int info, iter, lda, ldb, ldx, n, r; + NAGComplex[] a, b, work, x; + NAGComplexF[] swork; + double[] rwork; + int[] ipiv; + + System.out.println(" F07AQJ Example Program Results"); + System.out.println(); + + // Set dimensions and instantiate arrays + n = 4; + r = 1; + lda = ldb = ldx = n; + a = new NAGComplex[lda*n]; + b = new NAGComplex[ldb*r]; + work = (NAGComplex[]) (new NAGComplex()).getArrayOfInstances(n*r); + x = (NAGComplex[]) (new NAGComplex()).getArrayOfInstances(ldx*r); + swork = (NAGComplexF[]) (new NAGComplexF()).getArrayOfInstances(n*(n+r)); + ipiv = new int[n]; + rwork = new double[n]; + + // Set A + a[0] = new NAGComplex(-1.34, 2.55); // Column 1 + a[1] = new NAGComplex(-0.17, -1.41); + a[2] = new NAGComplex(-3.29, -2.39); + a[3] = new NAGComplex(2.41, 0.39); + a[4] = new NAGComplex(0.28, 3.17); // Column 2 + a[5] = new NAGComplex(3.31, -0.15); + a[6] = new NAGComplex(-1.91, 4.42); + a[7] = new NAGComplex(-0.56, 1.47); + a[8] = new NAGComplex(-6.39, -2.20); // Column 3 + a[9] = new NAGComplex(-0.15, 1.34); + a[10] = new NAGComplex(-0.14, -1.35); + a[11] = new NAGComplex(-0.83, -0.69); + a[12] = new NAGComplex(0.72, -0.92); // Column 4 + a[13] = new NAGComplex(1.29, 1.38); + a[14] = new NAGComplex(1.72, 1.35); + a[15] = new NAGComplex(-1.96, 0.67); + + // Set B + b[0] = new NAGComplex(26.26,51.78); + b[1] = new NAGComplex( 6.43,-8.68); + b[2] = new NAGComplex(-5.75,25.31); + b[3] = new NAGComplex( 1.16, 2.57); + + // Notify wrappers of complex types + Routine.setComplex(new NAGComplex()); + Routine.setComplexF(new NAGComplexF()); + + // Solve the equations Ax = b for x + iter = info = 0; + f07aq.eval(n, r, a, lda, ipiv, b, ldb, x, ldx, work, swork, rwork, iter, info); + iter = f07aq.getITER(); + info = f07aq.getINFO(); + + if (info == 0) { + + // Print solution + + System.out.println(" Solution"); + for (int i = 0; i < n; i++) { + for (int j = 0; j < r; j++) { + System.out.printf(" (%7.4f,%7.4f)", x[j*n+i].getRe(), x[j*n+i].getIm()); + } + } + System.out.println(); + + // Print pivot indices + + System.out.println(); + System.out.println(" Pivot indices"); + for (int i = 0; i < n; i++) { + System.out.printf(" %11d", ipiv[i]); + } + System.out.println(); + + } + else { + System.out.printf(" The (%3d,%3d) element of the factor U is zero", info, iter); + } + + } + +} diff --git a/simple_examples/int32/F07FAJE.java b/simple_examples/int32/F07FAJE.java new file mode 100644 index 0000000..e516051 --- /dev/null +++ b/simple_examples/int32/F07FAJE.java @@ -0,0 +1,79 @@ +import com.nag.routines.F07.F07FA; +import com.nag.routines.X04.X04CA; + +/** + * F07FA example program text. + * @author saraht + */ +public class F07FAJE { + + public static void main(String[] args) { + + int i, ifail, info, lda, n; + double[] a, b; + + System.out.println(" F07FAJ Example Program Results"); + System.out.println(); + + n = 4; + lda = n; + + a = new double[n*n]; + b = new double[n]; + + /* A = 4.16 -3.12 0.56 -0.10 + 5.03 -0.83 1.18 + 0.76 0.34 + 1.18 */ + + a[0+0*n] = 4.16; + a[0+1*n] = -3.12; + a[0+2*n] = 0.56; + a[0+3*n] = -0.10; + + a[1+1*n] = 5.03; + a[1+2*n] = -0.83; + a[1+3*n] = 1.18; + + a[2+2*n] = 0.76; + a[2+3*n] = 0.34; + + a[3+3*n] = 1.18; + + b[0] = 8.70; + b[1] = -13.35; + b[2] = 1.89; + b[3] = -4.14; + + /* Solve the equations Ax = b for x */ + + F07FA f07fa = new F07FA(); + info = 0; + f07fa.eval("Upper", n, 1, a, lda, b, n, info); + info = f07fa.getINFO(); + + if (info == 0) { + + /* Print solution */ + + System.out.println(" Solution"); + for (i = 0; i < n; i++) { + System.out.printf(" %11.4f", b[i]); + } + System.out.printf("\n"); + + /* Print details of factorization */ + + System.out.println(); + X04CA x04ca = new X04CA(); + ifail = 0; + x04ca.eval("Upper", "Non-unit diagonal", n, n, a, lda, "Cholesky factor U", ifail); + + } + else { + System.err.printf(" The leading minor of order %d is not positive definite \n", info); + } + + } + +} diff --git a/simple_examples/int32/F07FBJE.java b/simple_examples/int32/F07FBJE.java new file mode 100644 index 0000000..09bbd37 --- /dev/null +++ b/simple_examples/int32/F07FBJE.java @@ -0,0 +1,122 @@ +import com.nag.routines.F07.F07FB; +import com.nag.routines.X04.X04CA; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * F07FB example program text. + * @author ludovic + */ +public class F07FBJE { + + public static void main(String[] args) { + String fact,uplo,equed; + int n, nrhs,lda,ldaf,ldb,ldx; + int[] iwork; + double rcond; + double[] a,af,s,b,x,ferr,berr,work; + int info,ifail; + lda = 4; + ldaf = lda; + ldb = lda; + ldx = lda; + nrhs = 2; + n = 4; + a = new double[lda*lda]; + af = new double[ldaf*ldaf]; + b = new double[ldb*nrhs]; + berr = new double[nrhs]; + ferr = new double[nrhs]; + s = new double[lda]; + work = new double[3*lda]; + x = new double[ldx*nrhs]; + iwork = new int[lda]; + info = 1; + rcond = Double.NaN; + fact = "E"; + uplo = "U"; + equed = "Z";//dummy value + /*A = 4.16 -3.12 0.56 -0.10 + 5.03 -0.83 1.18 + 0.76 0.34 + 1.18*/ + a[0] = 4.16; + + a[4] = -3.12; + a[5] = 5.03; + + a[8] = 0.56; + a[9] = -0.83; + a[10] = 0.76; + + a[12] = -0.10; + a[13] = 1.18; + a[14] = 0.34; + a[15] = 1.18; + + /*B= 8.70 8.30 + -13.35 2.13 + 1.89 1.61 + - 4.14 5.00*/ + b[0] = 8.70; + b[1] = -13.35; + b[2] = 1.89; + b[3] = -4.14; + + b[4] = 8.30; + b[5] = 2.13; + b[6] = 1.61; + b[7] = 5.00; + + System.out.println(" F07FBJ Example Program Results"); + System.out.println(); + + F07FB f07fb = new F07FB(fact, uplo, n, nrhs, a, lda, af, ldaf, equed, s, b, + ldb, x, ldx, rcond, ferr, berr, work, iwork, info); + f07fb.eval(); + fact = f07fb.getFACT(); + uplo = f07fb.getUPLO(); + equed = f07fb.getEQUED(); + rcond = f07fb.getRCOND(); + info = f07fb.getINFO(); + + + if ((info == 0) || (info == n+1)) { + ifail = 0; + (new X04CA()).eval("General"," ",n,nrhs,x,ldx,"Solution(s)",ifail); + System.out.println(); + System.out.println(" Backward errors (machine-dependent)"); + System.out.print(" "); + for (int ii = 0; ii < nrhs; ++ii) { + System.out.printf(" %11.1e",berr[ii]); + } + System.out.println("\n"); + System.out.println(" Estimated forward error bounds (machine-dependent)"); + System.out.print(" "); + for (int ii = 0; ii < nrhs; ++ii) { + System.out.printf(" %11.1e",ferr[ii]); + } + System.out.println("\n"); + System.out.println(" Estimate of reciprocal condition number"); + System.out.printf(" %11.1e\n",rcond); + System.out.println(); + if (equed.equalsIgnoreCase("N")) { + System.out.println(" A has not been equilibrated"); + } + else if (equed.equalsIgnoreCase("N")) { + System.out.println(" A has been row and column scaled as diag(S)*A*diag(S)"); + } + + if (info == n+1) { + System.out.println(); + System.out.println(" The matrix A is singular to working precision"); + } + + } + else { + System.out.printf(" The leading minor of order %3d is not positive definite\n"); + } + + } + +} diff --git a/simple_examples/int32/F08BTJE.java b/simple_examples/int32/F08BTJE.java new file mode 100644 index 0000000..43c219b --- /dev/null +++ b/simple_examples/int32/F08BTJE.java @@ -0,0 +1,228 @@ +import static java.lang.Math.*; + +import com.nag.routines.F06.F06JJ; +import com.nag.routines.F06.F06ZJ; +import com.nag.routines.F08.F08AU; +import com.nag.routines.F08.F08BT; +import com.nag.routines.Routine; +import com.nag.routines.X04.X04DB; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.regex.Matcher; +import java.util.regex.Pattern; + +/** + * F08BT example program text. + * @author ludovic + */ +public class F08BTJE { + + public static void main(String[] args) throws FileNotFoundException, IOException { + int incl = 1, nb = 64; + double tol; + int ifail, info = 0, k, lda, ldb, lwork, m, n, nrhs; + NAGComplex[] a, b, tau, work; + double[] rnorm, rwork; + int[] jpvt; + String[] clabs = new String[]{" "}, rlabs = new String[]{" "}; + + // Setup complex constants + NAGComplex one = new NAGComplex(); + NAGComplex zero = new NAGComplex(); + one.setRe(1.0); + one.setIm(0.0); + zero.setRe(0.0); + zero.setIm(0.0); + + // Inform the Routine class of the type of complex in use - can use any complex object + Routine.complex = one; + + System.out.println(" F08BTJ Example Program Results"); + System.out.println(); + + // Read values from data file + BufferedReader br = new BufferedReader(new FileReader(args[0])); + String line = br.readLine(); + line = br.readLine().trim(); + line = br.readLine().trim(); + String[] vals = line.split("\\s+"); + m = Integer.parseInt(vals[0].trim()); + n = Integer.parseInt(vals[1].trim()); + nrhs = Integer.parseInt(vals[2].trim()); + lda = ldb = m; + lwork = (n + 1) * nb; + a = new NAGComplex[lda * n]; + b = new NAGComplex[ldb * nrhs]; + tau = new NAGComplex[n]; + work = new NAGComplex[lwork]; + rnorm = new double[nrhs]; + rwork = new double[2 * n]; + jpvt = new int[n]; + + // Actually initialize the complex arrays + for (int i = 0; i < a.length; ++i) { + a[i] = new NAGComplex(); + } + for (int i = 0; i < b.length; ++i) { + b[i] = new NAGComplex(); + } + for (int i = 0; i < tau.length; ++i) { + tau[i] = new NAGComplex(); + } + for (int i = 0; i < work.length; ++i) { + work[i] = new NAGComplex(); + } + + /* Read A and B from data file */ + + readCompMatrix(br, a, lda, n); + readCompMatrix(br, b, ldb, nrhs); + br.close(); + + /* Initialize JPVT to be zero so that all columns are free */ + + for (int i = 0; i < n; ++i) { + jpvt[i] = 0; + } + + /* Compute the QR factorization of A */ + + F08BT f08bt = new F08BT(m, n, a, lda, jpvt, tau, work, lwork, rwork, info); + f08bt.eval(); + + /* Compute C = (C1) = (Q**H)*B, storing the result in B (C2) */ + + String side = "Left"; + String conjTrans = "Conjugate Transpose"; + F08AU f08au = new F08AU(side, conjTrans, m, nrhs, n, a, lda, tau, b, ldb, work, lwork, info); + f08au.eval(); + a = (NAGComplex[])f08au.getA(); + + /* Choose TOL to reflect the relative accuracy of the input data */ + + tol = 0.01; + + /* Determine and print the rank, K, or R relative to TOL */ + + for (k = 1; k < n + 1; ++k) { + if (abs(a[k - 1 + lda * (k - 1)]) <= tol * abs(a[0])) { + break; + } + } + k = k - 1; + + System.out.println(" Tolerance used to estimate the rank of A"); + System.out.printf(" %11.2E\n", tol); + System.out.println(" Estimated rank of A"); + System.out.printf(" %8d\n", k); + + /* Compute least squares solutions by back-substitution in R(1:K,1:K)*Y = C1 + * storing the result in B */ + + String upDown = "Upper"; + String trans = "No transpose"; + String unit = "Non-Unit"; + F06ZJ f06zj = new F06ZJ(side, upDown, trans, unit, k, nrhs, one, a, lda, b, ldb); + f06zj.eval(); + + /* Compute estimates of the square roots of the residual sums of squares + * (2-norm of each of the columns of C2) */ + + int mMinusK = m - k; + NAGComplex[] btmp = new NAGComplex[b.length]; + for (int i = 0; i < btmp.length; ++i) { + btmp[i] = new NAGComplex(); + } + System.arraycopy(b, k, btmp, 0, b.length - k); + + F06JJ f06jj = new F06JJ(mMinusK, btmp, incl); + rnorm[0] = f06jj.eval(mMinusK, btmp, incl); + System.arraycopy(btmp, 0, b, k, b.length - k); + for (int j = 1; j < nrhs; ++j) { + System.arraycopy(b, k + j * ldb, btmp, 0, b.length - k - j * ldb); + rnorm[j] = f06jj.eval(mMinusK, btmp, incl); + System.arraycopy(btmp,0, b, k + j * ldb, b.length - k - j * ldb); + } + + /* Set the remaining elements of the solutions to zero (to give the + * basic solutions) */ + + for (int i = k; i < n; ++i) { + for (int j = 0; j < nrhs; ++j) { + NAGComplex tmp = new NAGComplex(); + tmp.setRe(0.0); + tmp.setIm(0.0); + b[i + j * ldb] = tmp; + } + } + + /* Permute the least squares solution stored in B to give X = P*Y */ + + for (int j = 0; j < nrhs; j++) { + for (int i = 0; i < n; i++) { + work[jpvt[i] - 1] = b[j*ldb + i]; + } + for (int i = 0; i < n; i++) { + b[j*ldb + i] = work[i]; + } + } + + /* Print least squares solutions */ + + X04DB x04db = new X04DB(); + ifail = 0; + x04db.eval("General"," ",n,nrhs,b,ldb,"Bracketed","F7.4","Least squares solution(s)", + "Integer",rlabs,"Integer",clabs,80,0,ifail); + + /* Print the square roots of the residual sums of squares */ + + System.out.println(); + System.out.println(" Square root(s) of the residual sum(s) of squares"); + System.out.printf(" "); + for (int i = 0; i < nrhs; ++i) { + System.out.printf("%11.2E", rnorm[i]); + } + System.out.println(); + + } + + private static void readCompMatrix(BufferedReader br, NAGComplex[] mat, int row, + int col) throws IOException { + + // matches one complex number (without the brackets...) + String complexPat = "\\(([,0-9\\.\\-\\+\\s]*)\\)"; + String fullPattern = complexPat; + for (int i = 0; i < col -1; ++i) { + fullPattern = fullPattern + "\\s*" + complexPat; + } + fullPattern = fullPattern + ".*"; + Pattern comppat = Pattern.compile(fullPattern); + + for (int i = 0; i < row; ++i) { + String line = br.readLine().trim(); + if (line.equalsIgnoreCase("")) { + line = br.readLine().trim(); + } + Matcher m = comppat.matcher(line.trim()); + if (m.matches()) { + for (int j = 0; j < col; ++j) { + String[] numbers = m.group(j + 1).trim().split(","); + mat[i + j * row].setRe(Double.parseDouble(numbers[0].trim())); + mat[i + j * row].setIm(Double.parseDouble(numbers[1].trim())); + // System.out.print("mat["+i+","+j+"]=("+numbers[0].trim()+","+numbers[1].trim()+") "); + } + // System.out.println(); + } + + + } + } + + private static double abs(NAGComplex z) { + return sqrt(z.getRe() * z.getRe() + z.getIm() * z.getIm()); + } + +} diff --git a/simple_examples/int32/F08FAJE.java b/simple_examples/int32/F08FAJE.java new file mode 100644 index 0000000..028f854 --- /dev/null +++ b/simple_examples/int32/F08FAJE.java @@ -0,0 +1,113 @@ +import com.nag.routines.F08.DDISNA; +import com.nag.routines.F08.F08FA; +import com.nag.routines.F16.F16JQ; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X04.X04CA; +import java.util.Arrays; +import java.util.logging.Level; +import java.util.logging.Logger; + + +/** + * F08FA example program text. + * @author ludovic + */ +public class F08FAJE { + + public static void main(String[] args) { + int n = 4, LWork = n*64, lda = n; + double[] a, w, work,zerrbd,rcondz, colVector; + int info = 0, ifail = 0, k = 0; + a = new double[n * n]; + w = new double[n]; + work = new double[LWork]; + zerrbd = new double[n]; + rcondz = new double[n]; + colVector = new double[n]; + + System.out.println(" F08FAJ Example Program Results\n"); + + //array a : Stored in column major way + + a[0] = 1.0; + a[1] = 2.0; + a[2] = 3.0; + a[3] = 4.0; + + a[4] = 2.0; + a[5] = 2.0; + a[6] = 3.0; + a[7] = 4.0; + + a[8] = 3.0; + a[9] = 3.0; + a[10] = 3.0; + a[11] = 4.0; + + a[12] = 4.0; + a[13] = 4.0; + a[14] = 4.0; + a[15] = 4.0; + + //initializing the info parameter + info = 0; + w[0] = Double.NaN; + w[1] = Double.NaN; + w[2] = Double.NaN; + w[3] = Double.NaN; + F08FA f08fa = new F08FA("V", "U", n, a, n, w, work, LWork, info); + f08fa.eval(); + info = f08fa.getINFO(); + + if (info == 0) { + System.out.println(" Eigenvalues"); + System.out.print(" "); + for (int i = 0; i < n; ++i) { + System.out.printf(" %8.4f",w[i]); + } + System.out.println(); + + // Normalize the eigenvectors: largest element positive + F16JQ f16jq = new F16JQ(); // aka blas_damax_val + for (int i = 0; i < n; i++) { + System.arraycopy(a, 4*i, colVector, 0, 4); // Form vector to evaluate + f16jq.eval(n, colVector, 1, k, 0.0); // Get index of largest (absolute) value + k = f16jq.getK() - 1; // Make index zero based + + // Invert sign of column if largest element is negative + if (a[(4*i)+k] < 0) { + for (int j = 0; j < n; j++) { + a[(4*i)+j] = (-1) * a[(4*i)+j]; + } + } + + } + + (new X04CA()).eval("General"," ",n,n,a,lda,"Eigenvectors",ifail); + + double eps = (new X02AJ()).eval(); + double eerrbd = eps*Math.max(Math.abs(w[0]),Math.abs(w[n-1])); + + (new DDISNA()).eval("Eigenvectors",n,n,w,rcondz,info); + for (int i = 0; i < n; ++i) { + zerrbd[i] = eerrbd/rcondz[i]; + } + + System.out.println(); + System.out.println(" Error estimate for the eigenvalues"); + System.out.printf(" %11.1e\n",eerrbd); + System.out.println(); + System.out.println(" Error estimates for the eigenvectors"); + for (int i = 0; i < n; ++i) { + System.out.printf(" %11.1e",zerrbd[i]); + } + System.out.println(); + + } + else { + System.out.printf(" Failure in DSYEV. INFO =%4d",info); + } + + } + +} diff --git a/simple_examples/int32/F08XPJE.java b/simple_examples/int32/F08XPJE.java new file mode 100644 index 0000000..cc894d3 --- /dev/null +++ b/simple_examples/int32/F08XPJE.java @@ -0,0 +1,297 @@ +import com.nag.routines.F06.F06UA; +import com.nag.routines.F06.F06BN; +import com.nag.routines.F06.ZGEMM; +import com.nag.routines.F08.ZGGESX; +import com.nag.routines.M01.M01DA; +import com.nag.routines.M01.M01ED; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X04.X04DB; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * F08XPJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class F08XPJE{ + + public static boolean chkfac = false; + public static boolean prcond = false; + public static boolean prmat = false; + public static int nb = 64; + + /* + * F08XPJ Example main program + */ + public static void main(String[] args){ + NAGComplex alph, bet; + double abnorm, anorm, bnorm, eps, normd, norme, tol; + int ifail, info = 0, lda, ldb, ldc, ldd, lde, ldvsl, ldvsr, liwork, lwork, n, sdim = 0; + boolean factor; + NAGComplex[] a, alpha, b, beta, c, d, e, vsl, vsr, work, dummy; + double[] rconde, rcondv, rwork; + int[] idum, iwork; + boolean[] bwork; + String[] clabs, rlabs; + + //Placeholders + idum = new int[1]; + rconde = new double[2]; + rcondv = new double[2]; + dummy = NAGComplex.createArray(1); + + System.out.println("F08XPJ Example Program Results"); + System.out.println(); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + //Tell wrappers what time of complex type is going to be used + Routine.setComplex(new NAGComplex()); + + //n declared here for neater code but can be read in from data file + n = 4; + lda = n; + ldb = n; + ldc = n; + ldd = n; + lde = n; + ldvsl = n; + ldvsr = n; + + //Allocate + a = NAGComplex.createArray(lda * n); + alpha = NAGComplex.createArray(n); + b = NAGComplex.createArray(ldb * n); + beta = NAGComplex.createArray(n); + c = NAGComplex.createArray(ldc * n); + d = NAGComplex.createArray(ldd * n); + e = NAGComplex.createArray(lde * n); + vsl = NAGComplex.createArray(ldvsl * n); + vsr = NAGComplex.createArray(ldvsr * n); + rwork = new double[8 * n]; + bwork = new boolean[n]; + clabs = new String[1]; + clabs[0] = " "; + rlabs = new String[1]; + rlabs[0] = " "; + + //Use routine workspace query to get optimal workspace + lwork = -1; + liwork = -1; + //The NAG name equivalent of zggesx is f08xpf + selctg selctg1 = new selctg(); + ZGGESX zggesx = new ZGGESX("Vectors (left)", "Vectors (right)", "Sort", selctg1, "Both reciprocal condition numbers", + n, a, lda, b, ldb, sdim, alpha, beta, vsl, ldvsl, vsr, ldvsr, rconde, rcondv, dummy, lwork, + rwork, idum, liwork, bwork, info); + zggesx.eval(); + + //Make sure that there is a enough workspace for block size nb + lwork = Math.max((n * nb) + (n * n/2), (int) Math.rint(dummy[0].getRe())); + liwork = Math.max(n + 2, idum[0]); + work = NAGComplex.createArray(lwork); + iwork = new int[liwork]; + + //Read in matrices A and B + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); // skip header + line = reader.readLine(); //skip n (set manually for neater code) + String[] sVal; + + for(int i = 0; i < 2; i++){ + for(int j = 0; j < n; j++){ + line = reader.readLine(); + sVal = line.split("\\)"); + for(int k = 0; k < n; k++){ + if(i == 0){ + a[(k * n) + j] = parseComplex(sVal[k]); + } + else{ + b[(k * n) + j] = parseComplex(sVal[k]); + } + } + } + } + + } + catch(FileNotFoundException err){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException err){ + System.err.println("***FATAL: Can't read " + filename + "\n" + err.getMessage()); + } + + if(chkfac){ + for(int i = 0; i < a.length; i++){ + //Copy A and B into D and E respectively + d[i] = a[i]; + e[i] = b[i]; + } + } + + //Find the Forbenius norms of A and B + //The NAG name equivalent of the LAPACK auxiliary zlange is f06uaf + F06UA f06ua = new F06UA(); + anorm = f06ua.eval("Frobenius", n, n, a, lda, rwork); + bnorm = f06ua.eval("Frobenius", n, n, b, ldb, rwork); + + if(prmat){ + //Print matrices A and B + //ifail : behaviour on error exit + // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft + ifail = 0; + X04DB x04db = new X04DB("General", " ", n, n, a, lda, "Bracketed", "F8.4", "Matrix A", "Integer", + rlabs, "Integer", clabs, 80, 0, ifail); + x04db.eval(); + System.out.println(); + + ifail = 0; + x04db = new X04DB("General", " ", n, n, b, ldb, "Bracketed", "F8.4", "Matrix B", "Integer", + rlabs, "Integer", clabs, 80, 0, ifail); + x04db.eval(); + System.out.println(); + } + + factor = true; + //Find the generalized Schur form + //The NAG name equivalent of zggesx is f08xpf + zggesx = new ZGGESX("Vectors (left)", "Vectors (right)", "Sort", selctg1, "Both reciprocal condition numbers", + n, a, lda, b, ldb, sdim, alpha, beta, vsl, ldvsl, vsr, ldvsr, rconde, rcondv, work, lwork, + rwork, iwork, liwork, bwork, info); + zggesx.eval(); + + //update + sdim = zggesx.getSDIM(); + + if(info != 0 && info != (n + 2)){ + System.out.printf("Failure in ZGGESX. INFO = %d\n", info); + factor = false; + } + else if(chkfac){ + //Compute A - Q*S*Z^H from the factorization of (A,B) and store in matrix D + //The NAG name equivalent of zgemm is f06zaf + alph = new NAGComplex(1, 0); + bet = new NAGComplex(0, 0); + ZGEMM zgemm = new ZGEMM("N", "N", n, n, n, alph, vsl, ldvsl, a, lda, bet, c, ldc); + zgemm.eval(); + + alph = new NAGComplex(-1, 0); + bet = new NAGComplex(1, 0); + zgemm = new ZGEMM("N", "C", n, n, n, alph, c, ldc, vsr, ldvsr, bet, d, ldd); + zgemm.eval(); + + //Compute B - Q*T*Z^H from the factorization of (A,B) and store in matrix E + alph = new NAGComplex(1, 0); + bet = new NAGComplex(0, 0); + zgemm = new ZGEMM("N", "N", n, n, n, alph, vsl, ldvsl, b, ldb, bet, c, ldc); + zgemm.eval(); + + alph = new NAGComplex(-1, 0); + bet = new NAGComplex(1, 0); + zgemm = new ZGEMM("N", "C", n, n, n, alph, c, ldc, vsr, ldvsr, bet, e, lde); + zgemm.eval(); + + //Find norms of matrices D and E and warn if either is too large + f06ua = new F06UA("0", ldd, n, d, ldd, rwork); + normd = f06ua.eval(); + X02AJ x02aj = new X02AJ(); + if(normd > Math.pow(x02aj.eval(), 0.75)){ + System.out.println("Norm of A-(Q*S*Z^T) is much greater than 0."); + factor = false; + System.out.println("Schur factorization has failed"); + } + f06ua = new F06UA("0", lde, n, e, lde, rwork); + norme = f06ua.eval(); + if(norme > Math.pow(x02aj.eval(), 0.75)){ + System.out.println("Norm of B-(Q*T*Z^T is much greater than 0."); + factor = false; + } + } + + if(factor){ + //Print eigenvalue details + System.out.printf("Number of eigenvalues for which SELCTG is true = %d\n", sdim); + System.out.println("(dimension of deflating subspaces)"); + + System.out.println(); + //Print selected (finite) generalized eigenvalues + System.out.println("Selected generalized eigenvalues"); + + //Store absolute values of eigenvalues for ranking + for(int i = 0; i < n; i++){ + work[i] = alpha[i].divide(beta[i]); + rwork[i] = NAGComplex.abs(work[i]); + } + + //Rank eigenvalues + ifail = 0; + M01DA m01da = new M01DA(rwork, 1, sdim, "Descending", iwork, ifail); + m01da.eval(); + + //Sort eigevalues in work + M01ED m01ed = new M01ED(work, 1, sdim, iwork, ifail); + m01ed.eval(); + for(int i = 0; i < sdim; i++){ + System.out.printf(" %d\t(%.2f, %.2f)\n", i + 1, work[i].getRe(), work[i].getIm()); + } + + if(info == n + 2){ + System.out.println("*** note that rounding errors mean that leading eigenvalues in"); + System.out.println("the generalized Schur form no longer satisfy SELCTG = TRUE"); + System.out.println(); + } + + if(prcond){ + //Compute the machine precision and sqrt(anorm^2 + bnorm^2) + X02AJ x02aj = new X02AJ(); + eps = x02aj.eval(); + F06BN f06bn = new F06BN(anorm, bnorm); + abnorm = f06bn.eval(); + tol = eps * abnorm; + + //Print out the reciprocal condition numbers and error bound for selected eigenvalues + System.out.println("Reciprocal condition numbers for the average of the selected"); + System.out.println("eigenvalues and their asymptotic error bound"); + System.out.printf("rcond-left = %.1e, rcond-right = %.1e, error = %.1e\n", rcondv[0], rcondv[1], tol/rcondv[1]); + } + } + else{ + System.out.println("Schur factorization has failed"); + } + + } + + /** + * Converts String read in from data file to NAGComplex value. + * @param s + * Complex number string + * @return new NAGComplex representing s + */ + public static NAGComplex parseComplex(String s){ + s = s.trim(); + double re = Double.parseDouble(s.substring(1, 7)); + double im = Double.parseDouble(s.substring(8)); + return new NAGComplex(re, im); + } + + /** + * Class representing function selctg implementing ZGGESX_SELCTG to pass to ZGGESX. + */ + public static class selctg extends ZGGESX.Abstract_ZGGESX_SELCTG{ + public boolean eval(){ + return (NAGComplex.abs((NAGComplex)this.A) < (6 * NAGComplex.abs((NAGComplex)this.B))); + } + } + +} diff --git a/simple_examples/int32/G01ALJE.java b/simple_examples/int32/G01ALJE.java new file mode 100644 index 0000000..672a151 --- /dev/null +++ b/simple_examples/int32/G01ALJE.java @@ -0,0 +1,55 @@ +import com.nag.routines.G01.G01AL; + +/** + * G01ALJ Example Program Text + * @author willa + * @since 27.1.0.0 + */ +public class G01ALJE{ + + /** + * G01ALJ Example main program + */ + public static void main(String[] args){ + int ifail, n; + double[] x, res; + int[] iwrk; + + res = new double[5]; + + System.out.println("G01ALJ Example Program Results"); + System.out.println(); + + //Problem size + n = 12; + + //Allocate + x = new double[n]; + iwrk = new int[n]; + + //Data + x[0] = 12; + x[1] = 9; + x[2] = 2; + x[3] = 5; + x[4] = 6; + x[5] = 8; + x[6] = 2; + x[7] = 7; + x[8] = 3; + x[9] = 1; + x[10] = 11; + x[11] = 10; + + //Calculate summary statistics + ifail = 0; + G01AL g01al = new G01AL(n, x, iwrk, res, ifail); + g01al.eval(); + + System.out.printf("Maximum %.4f\n", res[4]); + System.out.printf("Upper Hinge (75%% quantile) %.4f\n", res[3]); + System.out.printf("Median (50%% quantile) %.4f\n", res[2]); + System.out.printf("Lower Hinge (25%% quantile) %.4f\n", res[1]); + System.out.printf("Minimum %.4f\n", res[0]); + } +} diff --git a/simple_examples/int32/G02AKJE.java b/simple_examples/int32/G02AKJE.java new file mode 100644 index 0000000..8ddaff2 --- /dev/null +++ b/simple_examples/int32/G02AKJE.java @@ -0,0 +1,68 @@ +import com.nag.routines.G02.G02AK; +import com.nag.routines.X04.X04CA; + +/** + * G02AK example program text. + * @author joed + * @since 27.0.0.0 + */ +public class G02AKJE { + + /** + * G02AKJ example main program. + */ + public static void main(String[] args) { + + G02AK g02ak = new G02AK(); + X04CA x04ca = new X04CA(); + double errtol, f, rankerr, ranktol; + int i, ifail, ldg, ldx, maxit, maxits, n, nsub, rank; + double[] g, x; + + System.out.println("G02AKJ Example Program Results\n"); + + // Problem size + n = 4; + ldg = n; + ldx = n; + + // Rank constraint + rank = 2; + + // Matrix G (column-major) + g = new double[]{ + 2.0, -1.0, 0.0, 0.0, + -1.0, 2.0, -1.0, 0.0, + 0.0, -1.0, 2.0, -1.0, + 0.0, 0.0, -1.0, 2.0 + }; + + // Use the defaults for errtol, ranktol, maxits, maxit + errtol = 0.0; + ranktol = 0.0; + maxits = 0; + maxit = 0; + + // Calculate rank constrained nearest correlation matrix + ifail = 0; + x = new double[ldx*n]; + f = 0.0; + rankerr = 0.0; + nsub = 0; + g02ak.eval(g, ldg, n, rank, errtol, ranktol, maxits, maxit, x, ldx, f, + rankerr, nsub, ifail); + nsub = g02ak.getNSUB(); + f = g02ak.getF(); + rankerr = g02ak.getRANKERR(); + + // Display results + ifail = 0; + x04ca.eval("General", " ", n, n, x, ldx, "NCM with rank constraint", ifail); + System.out.println(); + System.out.printf("Number of subproblems solved: %12d\n\n", nsub); + System.out.printf("Squared Frobenius norm of difference: %9.4f\n\n", f); + System.out.printf("Rank error: %35.4f\n", rankerr); + + } + +} diff --git a/simple_examples/int32/G02BJJE.java b/simple_examples/int32/G02BJJE.java new file mode 100644 index 0000000..3de843e --- /dev/null +++ b/simple_examples/int32/G02BJJE.java @@ -0,0 +1,303 @@ +import com.nag.routines.G02.G02BJ; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * G02BJ example program text. + * @author ludovic + */ +public class G02BJJE { + + public static void main(String[] args) { + int i, ifail, ldcnt, ldr, ldssp, ldx, ncases = 0; //, m = 0, n = 0, nvars = 0; + double[] cnt, r, ssp, std, xbar;//, xmiss; + + if (args.length != 1) { + G02BJJE.usage(); + } + + String dataFile = args[0]; + DataHolder data = new DataHolder(); + readDataFile(dataFile, data); + System.out.println(" G02BJJ Example Program Results"); + System.out.println(); + + ldcnt = ldr = ldssp = data.nvars; + ldx = data.n; + cnt = new double[ldcnt * data.nvars]; + r = new double[ldr * data.nvars]; + ssp = new double[ldssp * data.nvars]; + std = new double[data.nvars]; + xbar = new double[data.nvars]; + + + //Display the data + + System.out.printf(" Number of variables (columns) = %5d\n", data.m); + System.out.printf(" Number of cases (rows) = %5d\n", data.n); + System.out.println(); + System.out.println(" Data matrix is:-"); + for (int ii = 0; ii < data.m; ++ii) { + System.out.printf(" %12d",ii+1); + } + System.out.println(); + for (int ii = 0; ii < data.n; ++ii) { + System.out.printf(" %3d ",ii+1); + for (int jj = 0; jj < data.m; ++jj) { + System.out.printf("%12.4f ",data.x[ii + jj * data.n]); + } + System.out.println(); + } + + ifail = 0; + G02BJ g02bj = new G02BJ(data.n, data.m, data.x, ldx, data.miss, data.xmiss, + data.nvars, data.kvar, xbar, std, ssp, ldssp, r, ldr, ncases, cnt, + ldcnt, ifail); + g02bj.eval(); + + data.n = g02bj.getN(); + data.m = g02bj.getM(); + data.x = g02bj.getX(); + ldx = g02bj.getLDX(); + data.miss = g02bj.getMISS(); + data.xmiss = g02bj.getXMISS(); + data.nvars = g02bj.getNVARS(); + data.kvar = g02bj.getKVAR(); + xbar = g02bj.getXBAR(); + std = g02bj.getSTD(); + ssp = g02bj.getSSP(); + ldssp = g02bj.getLDSSP(); + r = g02bj.getR(); + ldr = g02bj.getLDR(); + ncases = g02bj.getNCASES(); + cnt = g02bj.getCNT(); + ldcnt = g02bj.getLDCNT(); + ifail = g02bj.getIFAIL(); + + //Display results + System.out.println(); + System.out.println(" Variable\tMean\tSt.dev."); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %5d %11.4f %11.4f\n",data.kvar[ii], xbar[ii], std[ii]); + } + System.out.println(); + System.out.println(" Sums of squares and cross-products of deviations"); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %12d",data.kvar[ii]); + } + System.out.println(); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %3d",data.kvar[ii]); + for (int jj = 0; jj < data.nvars; ++jj) { + System.out.printf(" %12.4f",ssp[ii + ldssp * jj]); + } + System.out.println(); + } + System.out.println(); + System.out.println(" Correlation coefficients"); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %12d",data.kvar[ii]); + } + System.out.println(); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %3d",data.kvar[ii]); + for (int jj = 0; jj < data.nvars; ++jj) { + System.out.printf(" %12.4f",r[ii + ldr * jj]); + } + System.out.println(); + } + System.out.println(); + System.out.printf(" Minimum number of cases used for any pair of variables: %5d\n", ncases); + System.out.println(); + System.out.println(" Numbers used for each pair are:"); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %12d",data.kvar[ii]); + } + System.out.println(); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %3d",data.kvar[ii]); + for (int jj = 0; jj < data.nvars; ++jj) { + System.out.printf(" %12.4f",cnt[ii + ldcnt * jj]); + } + System.out.println(); + } + System.out.println(); + } + + private static void usage() { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + /** + G02BJF Example Program Data + 5 4 3 :: N, M, NVARS + 3.0 3.0 1.0 2.0 + 6.0 4.0 -1.0 4.0 + 9.0 0.0 5.0 9.0 + 12.0 2.0 0.0 0.0 + -1.0 5.0 4.0 12.0 :: End of X + 1 1 0 1 :: MISS + -1.0 0.0 0.0 0.0 :: XMISS + 4 1 2 :: KVAR + */ + private static void readDataFile(String filename, DataHolder data) { + try { + BufferedReader br = new BufferedReader(new FileReader(filename)); + String line = br.readLine(); // skip header + line = br.readLine(); + String[] sVal = line.split("\\s+"); + data.setN(Integer.parseInt(sVal[0])); + data.setM(Integer.parseInt(sVal[1])); + data.setNvars(Integer.parseInt(sVal[2])); + + data.x = new double[data.n * data.m]; + data.miss = new int[data.m]; + data.xmiss = new double[data.m]; + data.kvar = new int[data.nvars]; + + for (int i = 0; i < data.n; ++i) { + line = br.readLine().trim(); + sVal = line.split("\\s+"); + for (int j = 0; j < data.m; ++j) { + data.x[i + j * data.n] = Double.parseDouble(sVal[j]); + } + } + line = br.readLine().trim(); + sVal = line.split("\\s+"); + for (int j = 0; j < data.m; ++j) { + data.miss[j] = Integer.parseInt(sVal[j]); + } + line = br.readLine().trim(); + sVal = line.split("\\s+"); + for (int j = 0; j < data.m; ++j) { + data.xmiss[j] = Double.parseDouble(sVal[j]); + } + + line = br.readLine().trim(); + sVal = line.split("\\s+"); + for (int j = 0; j < data.nvars; ++j) { + data.kvar[j] = Integer.parseInt(sVal[j]); + } + } + catch (FileNotFoundException ex) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch (IOException ex) { + System.err.println("***FATAL: Can't Read " + filename + "\n" + ex.getMessage()); + System.exit(-3); + } + + } + + private static class DataHolder { + private int n; + private int m; + private int nvars; + private double[] x; + private int[] miss; + private double[] xmiss; + private int[] kvar; + + /** + * @return the n + */ + public int getN() { + return n; + } + + /** + * @param n the n to set + */ + public void setN(int n) { + this.n = n; + } + + /** + * @return the m + */ + public int getM() { + return m; + } + + /** + * @param m the m to set + */ + public void setM(int m) { + this.m = m; + } + + /** + * @return the nvars + */ + public int getNvars() { + return nvars; + } + + /** + * @param nvars the nvars to set + */ + public void setNvars(int nvars) { + this.nvars = nvars; + } + + /** + * @return the x + */ + public double[] getX() { + return x; + } + + /** + * @param x the x to set + */ + public void setX(double[] x) { + this.x = x; + } + + /** + * @return the miss + */ + public int[] getMiss() { + return miss; + } + + /** + * @param miss the miss to set + */ + public void setMiss(int[] miss) { + this.miss = miss; + } + + /** + * @return the xmiss + */ + public double[] getXmiss() { + return xmiss; + } + + /** + * @param xmiss the xmiss to set + */ + public void setXmiss(double[] xmiss) { + this.xmiss = xmiss; + } + + /** + * @return the kvar + */ + public int[] getKvar() { + return kvar; + } + + /** + * @param kvar the kvar to set + */ + public void setKvar(int[] kvar) { + this.kvar = kvar; + } + } +} diff --git a/simple_examples/int32/G02BRJE.java b/simple_examples/int32/G02BRJE.java new file mode 100644 index 0000000..084f478 --- /dev/null +++ b/simple_examples/int32/G02BRJE.java @@ -0,0 +1,134 @@ +import com.nag.routines.G02.G02BR; + +/** + * G02BRJ Example Program Text + * @author willa + * @since 27.1.0.0 + */ +public class G02BRJE{ + + /** + * G02BRJ Example main program + */ + public static void main(String[] args){ + int ifail, itype, ldrr, ldx, m, n, ncases = 0; //placeholder + double[] rr, work1, work2, x, xmiss; + int[] incase, kworka, kworkb, kworkc, miss; + + System.out.println("G02BRJ Example Program Results"); + System.out.println(); + + //Problem size + n = 9; + m = 3; + itype = 0; + + ldrr = m; + ldx = n; + + //Allocate + rr = new double[ldrr * m]; + work1 = new double[n]; + work2 = new double[n]; + x = new double[ldx * m]; + xmiss = new double[m]; + incase = new int[n]; + kworka = new int[n]; + kworkb = new int[n]; + kworkc = new int[n]; + miss = new int[m]; + + //Data + //X = (1.70, 1.00, 0.50) + // (2.80, 4.00, 3.00) + // (0.60, 6.00, 2.50) + // (1.80, 9.00, 6.00) + // (0.99, 4.00, 2.50) + // (1.40, 2.00, 5.50) + // (1.80, 9.00, 7.50) + // (2.50, 7.00, 0.00) + // (0.99, 5.00, 3.00) + x[0] = 1.7; + x[1] = 2.8; + x[2] = 0.6; + x[3] = 1.8; + x[4] = 0.99; + x[5] = 1.4; + x[6] = 1.8; + x[7] = 2.5; + x[8] = 0.99; + x[9] = 1; + x[10] = 4; + x[11] = 6; + x[12] = 9; + x[13] = 4; + x[14] = 2; + x[15] = 9; + x[16] = 7; + x[17] = 5; + x[18] = 0.5; + x[19] = 3; + x[20] = 2.5; + x[21] = 6; + x[22] = 2.5; + x[23] = 5.5; + x[24] = 7.5; + x[25] = 0; + x[26] = 3; + + //Missing value flags + miss[0] = 1; + miss[1] = 0; + miss[2] = 1; + xmiss[0] = 0.99; + xmiss[1] = 0; + xmiss[2] = 0; + + //Display data + System.out.printf("Number of variables (columns) = %d\n", m); + System.out.printf("Number of case (rows) = %d\n", n); + System.out.println(); + System.out.println("Data matrix is:-\n"); + System.out.println(); + for(int i = 0; i < m; i++){ + System.out.printf("\t %d", i + 1); + } + System.out.println(); + for(int i = 0; i < n; i++){ + System.out.printf(" %d\t", i + 1); + for(int j = 0; j < m; j++){ + System.out.printf("%.4f\t", x[(j * n) + i]); + } + System.out.println(); + } + System.out.println(); + + //Calculate correlation coefficients + ifail = 0; + G02BR g02br = new G02BR(n, m, x, ldx, miss, xmiss, itype, rr, ldrr, ncases, incase, kworka, kworkb, kworkc, + work1, work2, ifail); + g02br.eval(); + + //Update + ncases = g02br.getNCASES(); + + //Display results + System.out.println("Matrix of rank correlation coefficients:"); + System.out.println("Upper triangle -- Spearman's"); + System.out.println("Lower triangle -- Kendall's tau"); + System.out.println(); + for(int i = 0; i < m; i++){ + System.out.printf("\t %d", i + 1); + } + System.out.println(); + for(int i = 0; i < m; i++){ + System.out.printf(" %d\t", i + 1); + for(int j = 0; j < m; j++){ + System.out.printf("%.4f\t", rr[(j * m) + i]); + } + System.out.println(); + } + System.out.println(); + System.out.printf("Number of cases actually used: %d\n", ncases); + } +} diff --git a/simple_examples/int32/G02DAJE.java b/simple_examples/int32/G02DAJE.java new file mode 100644 index 0000000..c390197 --- /dev/null +++ b/simple_examples/int32/G02DAJE.java @@ -0,0 +1,187 @@ +import com.nag.routines.G02.G02BU; +import com.nag.routines.G02.G02DA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * G02DAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class G02DAJE{ + + /** + * G02DAJ Example main program + */ + public static void main(String[] args){ + double aic, arsq, en, mult, rsq, rss = 0, sw = 0, tol; + int idf = 0, ifail, ip, irank = 0, ldq, ldx, lwt, m, n; + boolean svd = false; + String mean, weight; + double[] b, cov, h, p, q, res, se, wk, wt, x, y, c, wmean; + int[] isx; + + System.out.println("G02DAJ Example Program Results"); + System.out.println(); + + c = new double[1]; + wmean = new double[1]; + + //Problem size (can be read in from data file + n = 12; + m = 4; + weight = "U"; + mean = "M"; + + if(weight.toLowerCase().equals("w")){ + lwt = n; + } + else{ + lwt = 0; + } + ldx = n; + + x = new double[ldx * m]; + y = new double[n]; + wt = new double[n]; + isx = new int[m]; + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + line = reader.readLine(); //skip n, m, weight, mean + + //Read in data + String[] sVal; + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < m; j++){ + x[(j * n) + i] = Double.parseDouble(sVal[j]); + } + y[i] = Double.parseDouble(sVal[m]); + if(lwt > 0){ + wt[i] = Double.parseDouble(sVal[m + 1]); + } + } + + //Read in variable inclusion flags + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int i = 0; i < m; i++){ + isx[i] = Integer.parseInt(sVal[i]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + System.exit(-2); + } + + //Calcluate IP + ip = 0; + for(int i = 0; i < m; i++){ + if(isx[i] == 1){ + ip++; + } + } + if(mean.toLowerCase().equals("m")){ + ip = ip + 1; + } + + //Allocate + ldq = n; + b = new double[ip]; + cov = new double[((ip * ip) + ip)/2]; + h = new double[n]; + p = new double[ip * ip * (ip + 2)]; + q = new double[ldq * (ip + 1)]; + res = new double[n]; + se = new double[ip]; + wk = new double[ip * ip + (5 * (ip - 1))]; + + //Use suggested value for tolerance + tol = 0.000001; + + //fit general linear regression model + ifail = -1; + G02DA g02da = new G02DA(mean, weight, n, x, ldx, m, isx, ip, y, wt, rss, idf, b, se, cov, res, h, q, + ldq, svd, irank, p, tol, wk, ifail); + g02da.eval(); + ifail = g02da.getIFAIL(); + if(ifail != 0){ + if(ifail != 5){ + System.exit(-3); + } + } + + //Calculate (weighted) total sums of squares, adjusted for mean if required + //If in G02DAF, an intercept is added to the regression by including a comlumn of + //1's in X, rather than by using the MEAN argument then MEAN = "M" should be used + //in this call to G02BUF + ifail = 0; + G02BU g02bu = new G02BU(mean, weight, n, 1, y, n, wt, sw, wmean, c, ifail); + g02bu.eval(); + + idf = g02da.getIDF(); + irank = g02da.getIRANK(); + //Get effective number of observations (=N if there are no zero weights) + en = (double) idf + irank; + + rss = g02da.getRSS(); + //Calculate R-squared, corrected R-Squared and AIC + rsq = 1 - rss/c[0]; + if(mean.toLowerCase().equals("m")){ + mult = (en - 1) / (en - irank); + } + else{ + mult = en / (en - irank); + } + arsq = 1 - mult * (1 - rsq); + aic = en * Math.log(rss/en) + (2 * irank); + + svd = g02da.getSVD(); + //Disply results + if(svd){ + System.out.printf("Model not of full rank, rank = %d", irank); + System.out.println(); + } + System.out.printf("Residual sum of squares = %.4e\n", rss); + System.out.printf("Degrees of freedom = %d\n", idf); + System.out.printf("R-squared = %.4e\n", rsq); + System.out.printf("Adjusted R-squared = %.4e\n", arsq); + System.out.printf("AIC = %.4e\n", aic); + System.out.println(); + System.out.printf("Variable\tParameter estimate\tStandard error\n"); + System.out.println(); + if(ifail == 0){ + for(int i = 0; i < ip; i++){ + System.out.printf(" %d\t\t %.4e\t\t %.4e\n", (i + 1), b[i], se[i]); + } + } + else{ + for(int i = 0; i < ip; i++){ + System.out.printf(" %d\t\t %.4e\n", (i + 1), b[i]); + } + } + System.out.println(); + System.out.printf(" Obs\t\t Residuals\t\t H\n"); + System.out.println(); + for(int i = 0; i < n; i++){ + System.out.printf(" %d\t\t %.4e\t\t %.4e\n", (i + 1), res[i], h[i]); + } + + } +} diff --git a/simple_examples/int32/G02EEJE.java b/simple_examples/int32/G02EEJE.java new file mode 100644 index 0000000..5856fde --- /dev/null +++ b/simple_examples/int32/G02EEJE.java @@ -0,0 +1,184 @@ +import com.nag.routines.G02.G02EE; +import java.io.*; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * G02EE example program text. + */ +public class G02EEJE { + + public static void main(String[] args) throws Exception { + int vnlen = 3; + double chrss, f, fin, rss; + rss = chrss = f = Double.NaN; + int idf = 0, ifail = 0, ifr = 0, istep = 0, ldq, ldx, lwt, m, maxip, n, nterm = 0; + boolean addvar = false; + String mean, weight, newvar; + newvar = " "; + double[] exss, p, q, wk, wt, x, y; + int[] isx; + String[] free, model, vname; + + System.out.println(" G02EEJ Example Program Results\n"); + + BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); + + String line = dataIn.readLine(); + + String[] data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); + + n = Integer.parseInt(data[0]); + m = Integer.parseInt(data[1]); + mean = data[2].substring(1,2); + weight = data[3].substring(1,2); + fin = Double.parseDouble(data[4]); + + if (weight.equalsIgnoreCase("W")) { + lwt = n; + } + else { + lwt = 0; + } + ldx = n; + + x = new double[ldx*m]; + y = new double[n]; + wt = new double[lwt]; + isx = new int[m]; + vname = new String[m]; + + for (int i = 0; i < vname.length;++i) { + StringBuilder tmp = new StringBuilder(); + for (int j = 0; j < vnlen; ++j) { + tmp.append(" "); + } + vname[i] = tmp.toString(); + } + + if (lwt > 0) { + for (int i = 0; i < n; ++i) { + data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); + for (int j = 0; j < m; ++j) { + x[i+j*ldx] = Double.parseDouble(data[j]); + } + y[i] = Double.parseDouble(data[m]); + wt[i] = Double.parseDouble(data[m+1]); + } + } + else { + for (int i = 0; i < n; ++i) { + data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); + for (int j = 0; j < m; ++j) { + x[i+j*ldx] = Double.parseDouble(data[j]); + } + y[i] = Double.parseDouble(data[m]); + } + } + data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); + for (int i = 0; i < m; ++i) { + isx[i] = Integer.parseInt(data[i]); + } + + data = dataIn.readLine().trim().split("::")[0].trim() + .replaceAll("^'","").replaceAll("'$","").split("'\\s+'"); + for (int i = 0; i < m; ++i) { + vname[i] = data[i].substring(0,3); + } + + dataIn.close(); + + maxip = 0; + for (int i = 0; i < m; ++i) { + if (isx[i] > 0) { + ++maxip; + } + } + + if (mean.equalsIgnoreCase("M")) { + maxip += 1; + } + + ldq = n; + model = new String[maxip]; + free = new String[maxip]; + exss = new double[maxip]; + q = new double[ldq*(maxip+2)]; + p = new double[maxip+1]; + wk = new double[2*maxip]; + + for (int i = 0; i < model.length; ++i) { + StringBuilder tmp = new StringBuilder(); + for (int j = 0; j < vnlen; ++j) { + tmp.append(" "); + } + model[i] = tmp.toString(); + } + for (int i = 0; i < free.length; ++i) { + StringBuilder tmp = new StringBuilder(); + for (int j = 0; j < vnlen; ++j) { + tmp.append(" "); + } + free[i] = tmp.toString(); + } + istep = 0; + ifail = -1; + + + G02EE g02ee = new G02EE(istep,mean,weight,n,m,x,ldx,vname,isx,maxip,y,wt,fin, + addvar,newvar,chrss,f,model,nterm,rss,idf,ifr,free,exss,q,ldq,p, + wk,ifail); + for (int i = 0; i < m; ++i) { + g02ee.setIFAIL(0); + g02ee.eval(); + + System.out.printf(" Step %2d\n",g02ee.getISTEP()); + if (!g02ee.getADDVAR()) { + System.out.printf(" No further variables added maximum F =%7.2f\n",g02ee.getF()); + System.out.print(" Free variables: "); + for (int j = 0; j < g02ee.getIFR(); ++j) { + System.out.print(" "+free[j]); + } + System.out.println(); + System.out.println(" Change in residual sums of squares for free variables:"); + for (int j = 0; j < g02ee.getIFR(); ++j) { + System.out.printf(" %9.4f",g02ee.getEXSS()[j]); + } + System.out.println(); + break; + } + else { + System.out.println(" Added variable is "+g02ee.getNEWVAR()); + System.out.printf(" Change in residual sum of squares = %12.4E\n",g02ee.getCHRSS()); + System.out.printf(" F Statistic = %7.2f\n",g02ee.getF()); + System.out.println(); + System.out.print(" Variables in model:"); + for (int j = 0; j < g02ee.getNTERM(); ++j) { + System.out.print(" "+g02ee.getMODEL()[j]); + } + System.out.println("\n"); + System.out.printf(" Residual sum of squares = %13.4E\n",g02ee.getRSS()); + System.out.printf(" Degrees of freedom = %2d\n",g02ee.getIDF()); + System.out.println(); + if (g02ee.getIFR() == 0) { + System.out.println(" No free variables remaining"); + break; + } + System.out.print(" Free variables: "); + for (int j = 0; j < g02ee.getIFR(); ++j) { + System.out.print(" "+free[j]); + } + System.out.println(); + System.out.println(" Change in residual sums of squares for free variables:"); + for (int j = 0; j < g02ee.getIFR(); ++j) { + System.out.printf(" %9.4f",g02ee.getEXSS()[j]); + } + System.out.println(); + + } + + } + + } + +} diff --git a/simple_examples/int32/G02MAJE.java b/simple_examples/int32/G02MAJE.java new file mode 100644 index 0000000..4a8bfcb --- /dev/null +++ b/simple_examples/int32/G02MAJE.java @@ -0,0 +1,130 @@ +import com.nag.routines.G02.G02MA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * G02MAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class G02MAJE{ + + /** + * G02MAJ example main program + */ + public static void main(String[] args){ + int ifail, ip, ldb, ldd, lisx, lropt, m, mnstep, mtype, n, nstep = 0, pred, prey; + double[] b, d, fitsum, ropt, y; + int[] isx; + + isx = new int[0]; //placeholder + + System.out.println("G02MAJ Example Program Results"); + System.out.println(); + + //data (Could also read in from data file) + //Problem size + n = 20; + m = 6; + + //Model Specification + mtype = 1; + pred = 3; + prey = 1; + mnstep = 6; + lisx = 0; + + //Variable inclusion flags aren't needed in this example + ip = m; + + //Optional arguments (using defaults) + lropt = 0; + ropt = new double[lropt]; + + //D and Y + ldd = n; + y = new double[n]; + d = new double[ldd * m]; + + //Read in D and Y from data file (too large to write out) + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + line = reader.readLine(); //skip N, M + line = reader.readLine(); //skip mtype, pred, prey, mnstep, lisx + + String sVal[]; + + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < m; j++){ + d[(j * n) + i] = Double.parseDouble(sVal[j]); + } + y[i] = Double.parseDouble(sVal[m]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + System.exit(-2); + } + + //Allocate output arrays + ldb = ip; + b = new double[ldb * (mnstep + 2)]; + fitsum = new double[6 * (mnstep + 1)]; + + //Call the model fitting routine + ifail = -1; + G02MA g02ma = new G02MA(mtype, pred, prey, n, m, d, ldd, isx, lisx, y, mnstep, ip, nstep, b, ldb, + fitsum, ropt, lropt, ifail); + g02ma.eval(); + ifail = g02ma.getIFAIL(); + if(ifail != 0){ + if(ifail != 112 && ifail != 161 && ifail != 162 && ifail !=163){ + //ifail = 112, 161, 162, 163 are warnings, so no need to terminate + System.exit(-2); + } + } + + //update + nstep = g02ma.getNSTEP(); + + //Display the parameter estimates + System.out.printf(" Step\t\t\tParameter Estimate\n"); + System.out.println("------------------------------------------------------"); + for(int i = 0; i < nstep; i++){ + System.out.printf(" %d", (i + 1)); + for(int j = 0; j < ip; j++){ + System.out.printf("\t%.3f", b[j + (i * nstep)]); + } + System.out.printf("\n"); + } + System.out.println(); + System.out.printf("alpha: %.3f\n", fitsum[nstep * 6]); + System.out.println(); + System.out.printf(" Step Sum\tRSS\t df\t Cp\t Ck\tStep Size\n"); + System.out.println("---------------------------------------------------------"); + for(int k = 0; k < nstep; k++){ + System.out.printf(" %d %.3f\t%.3f %d\t %.3f\t %.3f %.3f\n", (k + 1), fitsum[k * nstep], fitsum[(k * nstep) + 1], + (int)(Math.floor(fitsum[(k + nstep) + 2] + 0.5)), fitsum[(k * nstep) + 3], + fitsum[(k * nstep) + 4], fitsum[(k * nstep) + 5]); + } + System.out.println(); + System.out.printf("sigma^2: %.3f\n", fitsum[(nstep * 6) + 4]); + } +} diff --git a/simple_examples/int32/G03GAJE.java b/simple_examples/int32/G03GAJE.java new file mode 100644 index 0000000..ba20592 --- /dev/null +++ b/simple_examples/int32/G03GAJE.java @@ -0,0 +1,355 @@ +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.Arrays; +import com.nag.routines.G03.G03GA; +import com.nag.routines.X04.X04CA; +import com.nag.routines.Routine; + +/** + * G03GAJ example program text. + * @author willa + * @since 27.0.0.0 + */ +public class G03GAJE{ + + /** + * G03GAJ example main program. + */ + public static void main(String[] args){ + int i, ldx, lprob, riter, lds, sds, ifail = 0; + double[] w, g, s, f; + double tol, loglik = 0; + + if(args.length != 1){ + G03GAJE.usage(); + } + + // Data file name as argument + String filename = args[0]; + // DataHolder object to hold data read in from data file + DataHolder data = new DataHolder(); + + readDataFile(filename, data); + + System.out.println(" G03GAJ Example Program Results"); + System.out.println(); + + // Leading dimensions + ldx = data.n; + lprob = data.n; + + + switch(data.sopt){ + case 1: + s = new double[data.nvar * data.nvar * data.ng]; + lds = data.nvar; + sds = data.nvar; + break; + case 2: + s = new double[data.nvar * data.nvar * 1]; + lds = data.nvar; + sds = data.nvar; + break; + case 3: + s = new double[data.nvar * data.ng * 1]; + lds = data.nvar; + sds = data.ng; + break; + case 4: + s = new double[data.nvar * 1 * 1]; + lds = data.nvar; + sds = 1; + break; + default: + s = new double[1 * 1 * 1]; + lds = 1; + sds = 1; + break; + } + + // Allocate array size + g = new double[data.nvar * data.ng]; + w = new double[data.ng]; + f = new double[data.n * data.ng]; + tol = 0.0; + riter = 5; + + ifail = 0; + + // Create g03ga object with variables from data file + G03GA g03ga = new G03GA(data.n, data.m, data.x, ldx, data.isx, data.nvar, data.ng, data.popt, data.prob, + lprob, data.niter, riter, w, g, data.sopt, s, lds, sds, f, tol, loglik, ifail); + + // Run routine + g03ga.eval(); + + // Update variables + data.n = g03ga.getN(); + data.m = g03ga.getM(); + data.x = g03ga.getX(); + ldx = g03ga.getLDX(); + data.isx = g03ga.getISX(); + data.nvar = g03ga.getNVAR(); + data.ng = g03ga.getNG(); + data.popt = g03ga.getPOPT(); + data.prob = g03ga.getPROB(); + lprob = g03ga.getLPROB(); + data.niter = g03ga.getNITER(); + riter = g03ga.getRITER(); + w = g03ga.getW(); + g = g03ga.getG(); + data.sopt = g03ga.getSOPT(); + s = g03ga.getS(); + lds = g03ga.getLDS(); + sds = g03ga.getSDS(); + f = g03ga.getF(); + tol = g03ga.getTOL(); + loglik = g03ga.getLOGLIK(); + ifail = g03ga.getIFAIL(); + + // Results + X04CA x04ca = new X04CA(); + + System.out.println(); + ifail = 0; + x04ca.eval("g", "n", 1, data.ng, w, 1, "Mixing proportions", ifail); + + System.out.println(); + ifail = 0; + x04ca.eval("g", "n", data.nvar, data.ng, g, data.nvar, "Group means", ifail); + + System.out.println(); + switch(data.sopt){ + case 1: + for(i = 0; i < data.ng; i++){ + ifail = 0; + // Wrapper returns a 1-dimensional array so X04CA has to be called like this to mimic + // calling X04CA along the 3rd dimension + x04ca.eval("g", "n", data.nvar, data.nvar, + Arrays.copyOfRange(s, (i * (data.nvar * data.nvar)), (data.nvar * data.nvar * data.ng)), + lds, "Variance-cavariance matrix", ifail); + } + break; + case 2: + ifail = 0; + x04ca.eval("g", "n", data.nvar, data.nvar, s, lds, "Pooled Variance-covariance matrix", ifail); + break; + case 3: + ifail = 0; + x04ca.eval("g", "n", data.nvar, data.ng, s, lds, "Groupwise Variance", ifail); + break; + case 4: + ifail = 0; + x04ca.eval("g", "n", data.nvar, 1, s, lds, "Pooled Variance", ifail); + break; + case 5: + ifail = 0; + x04ca.eval("g", "n", 1, 1, s, lds, "Overall Variance", ifail); + break; + } + + System.out.println(); + ifail = 0; + x04ca.eval("g", "n", data.n, data.ng, f, data.n, "Densities", ifail); + + System.out.println(); + ifail = 0; + x04ca.eval("g", "n", data.n, data.ng, data.prob, data.n, "Membership probabilities", ifail); + + System.out.println(); + System.out.println("No. iterations: " + data.niter); + System.out.printf("Log-likelihood: %.04f\n", loglik); + } + + /** + * Read data from given filename and puts into DataHolder object + * @param filename + * Name of data file (absolute or relative path) + * @param data + * DataHolder object to store data from data file + */ + public static void readDataFile(String filename, DataHolder data){ + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + // Problem size + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + data.setN(Integer.parseInt(sVal[0])); + data.setM(Integer.parseInt(sVal[1])); + data.setNvar(Integer.parseInt(sVal[2])); + + // Number of groups + line = reader.readLine(); + sVal = line.split("\\s+"); + data.setNg(Integer.parseInt(sVal[0])); + + // Scaling option + line = reader.readLine(); + sVal = line.split("\\s+"); + data.setSopt(Integer.parseInt(sVal[0])); + + // Initial probabilities option + line = reader.readLine(); + sVal = line.split("\\s+"); + data.setPopt(Integer.parseInt(sVal[0])); + + // Maximum number of iterations + line = reader.readLine(); + sVal = line.split("\\s+"); + data.setNiter(Integer.parseInt(sVal[0])); + + // + data.x = new double[data.m * data.n]; + data.prob = new double[data.ng * data.n]; + data.isx = new int[data.m]; + + //Data matrix X + for(int i = 0; i < data.n; ++i){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < data.m; ++j){ + data.x[i + (j * data.n)] = Double.parseDouble(sVal[j]); + } + } + + //Included variables + if(data.nvar != data.m){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int i = 0; i < data.m; ++i){ + data.isx[i] = Integer.parseInt(sVal[i]); + } + } + + + //Optionally read initial probabilities of group memebership (included in example data) + if(data.popt == 2){ + for(int i = 0; i < data.n; ++i){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < data.ng; ++j){ + data.prob[i + (j * data.n)] = Double.parseDouble(sVal[j]); + } + } + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + + } + + /** + * Stores data from data file for later reference + */ + private static class DataHolder{ + private int n; + private int m; + private int nvar; + private int ng; + private int sopt; + private int popt; + private int niter; + private int isx[]; + private double x[]; + private double prob[]; + + public void setN(int n){ + this.n = n; + } + + public int getN(){ + return n; + } + + public void setM(int m){ + this.m = m; + } + + public int getM(){ + return m; + } + + public void setNvar(int nvar){ + this.nvar = nvar; + } + + public int getNvar(){ + return nvar; + } + + public void setNg(int ng){ + this.ng = ng; + } + + public int getNg(){ + return ng; + } + + public void setSopt(int sopt){ + this.sopt = sopt; + } + + public int getSopt(){ + return sopt; + } + + public void setPopt(int popt){ + this.popt = popt; + } + + public int getPopt(){ + return popt; + } + + public void setNiter(int niter){ + this.niter = niter; + } + + public int getNiter(){ + return niter; + } + + public void setIsx(int[] isx){ + this.isx = isx; + } + + public int[] getIsx(){ + return isx; + } + + public void setX(double[] x){ + this.x = x; + } + + public double[] getX(){ + return x; + } + + public void setProb(double[] prob){ + this.prob = prob; + } + + public double[] getProb(){ + return prob; + } + } + + /** + * No arguments supplied when example runs + */ + private static void usage() { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} + diff --git a/simple_examples/int32/G05KFJE.java b/simple_examples/int32/G05KFJE.java new file mode 100644 index 0000000..18ce755 --- /dev/null +++ b/simple_examples/int32/G05KFJE.java @@ -0,0 +1,105 @@ +import com.nag.routines.G05.G05KF; +import com.nag.routines.G05.G05SA; +import com.nag.routines.Routine; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * G05KFJ example program text. + * @author willa + * @since 27.0.0.0 + */ +public class G05KFJE{ + + /** + * G05KFJ example main program. + */ + public static void main(String[] args){ + //genid, subid only initilised so they can be set in try{} without java throwing error + int lseed = 1, nin = 5, nout = 6, genid = 0, n = 0, subid = 0; + int ifail, lstate; + int[] seed, state; + double x[]; + + System.out.println("G05KFJ Example Program Results"); + System.out.println(); + + //No file input given + if(args.length != 1){ + G05KFJE.usage(); + } + + seed = new int[lseed]; + + //Read in data from data fiel + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //Read in the base generator information and seed + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + genid = Integer.parseInt(sVal[0]); + subid = Integer.parseInt(sVal[1]); + seed[0] = Integer.parseInt(sVal[2]); + + //Read in sample size + line = reader.readLine(); + sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[0]); + + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + lstate = 0; + ifail = 0; + state = new int[lstate]; + + //Initial call to get size of STATE array + G05KF g05kf = new G05KF(genid, subid, seed, lseed, state, lstate, ifail); + g05kf.eval(); + + //Update local variables + lstate = g05kf.getLSTATE(); + state = g05kf.getSTATE(); + + //Reallocate STATE + state = new int[lstate]; + + //Update object variables + g05kf.setSTATE(state); + g05kf.eval(); + + //Update local variables + state = g05kf.getSTATE(); + + x = new double[n]; + + //Generate the variates + ifail = 0; + G05SA g05sa = new G05SA(n, state, x, ifail); + g05sa.eval(); + + //Display the variates + for(int i = 0; i < x.length; i++){ + System.out.printf("%.4f\n", x[i]); + } + } + + /** + * Print usage information. + */ + private static void usage(){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} diff --git a/simple_examples/int32/G13AWJE.java b/simple_examples/int32/G13AWJE.java new file mode 100644 index 0000000..9e829bd --- /dev/null +++ b/simple_examples/int32/G13AWJE.java @@ -0,0 +1,31 @@ +import com.nag.routines.G01.G01EW; +import com.nag.routines.G13.G13AW; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * G13AW example program text. + */ +public class G13AWJE { + + public static void main(String[] args) { + + int n = 30, type = 1, p = 1, ifail = 1, method = 1, nsamp = 0; + double[] y = {-217.,-177.,-166.,-136.,-110.,-95.,-64.,-37.,-14.,-25.,-51., + -62.,-73.,-88.,-113.,-120.,-83.,-33.,-19.,21.,17.,44.,44.,78., + 88.,122.,126.,114.,85.,64}; + int[] state = new int[1]; + G13AW g13aw = new G13AW(type, p, n, y, ifail); + System.out.println(" G13AWJ Example Program Results\n"); + double ts = g13aw.eval(); + G01EW g01ew = new G01EW(method,type,n,ts,nsamp,state,ifail); + double pvalue = g01ew.eval(); + ifail = g01ew.getIFAIL(); + if (ifail == 0 || ifail == 201) { + System.out.printf("Dickey-Fuller test statistic = %6.3f\n", ts); + System.out.printf("associated p-value = %6.3f\n", pvalue); + } + + } + +} diff --git a/simple_examples/int32/G13MEJE.java b/simple_examples/int32/G13MEJE.java new file mode 100644 index 0000000..a768a46 --- /dev/null +++ b/simple_examples/int32/G13MEJE.java @@ -0,0 +1,160 @@ +import com.nag.routines.G13.G13ME; + +/** + * G13MEJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class G13MEJE{ + + /** + * G13MEJ main program + */ + public static void main(String[] args){ + double tau; + int ifail, lrcomm, m, nb, pn; + double[] iema, rcomm, sinit, t; + int[] inter, nbVal; + + inter = new int[2]; + + System.out.println("G13MEJ Example Program Results"); + System.out.println(); + + //data (can read in from data file) + //Number of iteration required + m = 2; + + //Decay parameter and interpolation method + tau = 2; + inter[0] = 3; + inter[1] = 2; + + //Initial values + sinit = new double[m + 2]; + sinit[0] = 5; + sinit[1] = 0.5; + sinit[2] = 0.5; + sinit[3] = 0.5; + + //Array of NB values in order + nbVal = new int[3]; + nbVal[0] = 5; + nbVal[1] = 10; + nbVal[2] = 15; + + //First block + double[] t1 = new double[nbVal[0]]; + double[] iema1 = new double[nbVal[0]]; + t1[0] = 7.5; + t1[1] = 8.2; + t1[2] = 18.1; + t1[3] = 22.8; + t1[4] = 25.8; + iema1[0] = 0.6; + iema1[1] = 0.6; + iema1[2] = 0.8; + iema1[3] = 0.1; + iema1[4] = 0.2; + + //Second block + double[] t2 = new double[nbVal[1]]; + double[] iema2 = new double[nbVal[1]]; + t2[0] = 26.8; + t2[1] = 31.1; + t2[2] = 38.4; + t2[3] = 45.9; + t2[4] = 48.2; + t2[5] = 48.9; + t2[6] = 57.9; + t2[7] = 58.5; + t2[8] = 63.9; + t2[9] = 65.2; + iema2[0] = 0.2; + iema2[1] = 0.5; + iema2[2] = 0.7; + iema2[3] = 0.1; + iema2[4] = 0.4; + iema2[5] = 0.7; + iema2[6] = 0.8; + iema2[7] = 0.3; + iema2[8] = 0.2; + iema2[9] = 0.5; + + //Third block + double[] t3 = new double[nbVal[2]]; + double[] iema3 = new double[nbVal[2]]; + t3[0] = 66.6; + t3[1] = 67.4; + t3[2] = 69.3; + t3[3] = 69.9; + t3[4] = 73.0; + t3[5] = 75.6; + t3[6] = 77.0; + t3[7] = 84.7; + t3[8] = 86.8; + t3[9] = 88.0; + t3[10] = 88.5; + t3[11] = 91.0; + t3[12] = 93.0; + t3[13] = 93.7; + t3[14] = 94.0; + iema3[0] = 0.2; + iema3[1] = 0.3; + iema3[2] = 0.8; + iema3[3] = 0.6; + iema3[4] = 0.1; + iema3[5] = 0.7; + iema3[6] = 0.9; + iema3[7] = 0.6; + iema3[8] = 0.3; + iema3[9] = 0.1; + iema3[10] = 0.1; + iema3[11] = 0.4; + iema3[12] = 1.0; + iema3[13] = 1.0; + iema3[14] = 0.1; + + //Print some titles + System.out.printf("\t\t\tIterated\n"); + System.out.println("\t\tTime\t EMA\n"); + System.out.println("--------------------------------"); + + lrcomm = 20 + m; + rcomm = new double[lrcomm]; + + pn = 0; + + //Loop through 3 blocks + for(int i = 0; i < nbVal.length; i++){ + //nb for given block + nb = nbVal[i]; + + //Use data for current block + if(i == 0){ + t = t1; + iema = iema1; + } + else if(i == 1){ + t = t2; + iema = iema2; + } + else{ + t = t3; + iema = iema3; + } + + ifail = 0; + G13ME g13me = new G13ME(nb, iema, t, tau, m, sinit, inter, pn, rcomm, lrcomm, ifail); + g13me.eval(); + pn = g13me.getPN(); + + //Display results for this block of data + for(int j = 0; j < nb; j++){ + System.out.printf("\t%d\t%.1f\t%.3f\n", pn - nb + (j + 1), t[j], iema[j]); + } + System.out.println(); + } + } +} + diff --git a/simple_examples/int32/G13NAJE.java b/simple_examples/int32/G13NAJE.java new file mode 100644 index 0000000..2032eb1 --- /dev/null +++ b/simple_examples/int32/G13NAJE.java @@ -0,0 +1,123 @@ +import com.nag.routines.G13.G13NA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * G13NAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class G13NAJE{ + + /** + * G13NAJ example main program + */ + public static void main(String[] args){ + double beta = 0; + int ctype = 0, ifail, iparam = 0, minss = 0, n = 0, ntau = 0; //placeholder + double[] param, sparam, y; + int[] tau; + + param = new double[1]; + //Placeholder y to be read in from data file + y = new double[0]; + + System.out.println("G13NAJ Example Program Results"); + System.out.println(); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //Read in the problem size + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[0]); + + //Allocate enough size to hold the input series + y = new double[n]; + + //Read in the input series + for(int i = 0; i < 10; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < 10; j++){ + y[(i * 10) + j] = Double.parseDouble(sVal[j]); + } + } + + //Read in the type of change point, penalty and minimum segment size + line = reader.readLine(); + sVal = line.split("\\s+"); + ctype = Integer.parseInt(sVal[0]); + iparam = Integer.parseInt(sVal[1]); + beta = Double.parseDouble(sVal[2]); + minss = Integer.parseInt(sVal[3]); + + //Read in the distribution parameter (if required) + if(iparam == 1){ + line = reader.readLine(); + sVal = line.split("\\s+"); + param[0] = Double.parseDouble(sVal[0]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + System.exit(-2); + } + + //Output arrays + tau = new int[n]; + sparam = new double[(2 * n) + 2]; + + ifail = -1; + + //Call routine to detece change points + G13NA g13na = new G13NA(ctype, n, y, beta, minss, iparam, param, ntau, tau, sparam, ifail); + g13na.eval(); + + //update + ifail = g13na.getIFAIL(); + ctype = g13na.getCTYPE(); + ntau = g13na.getNTAU(); + + if(ifail == 0 || ifail == 200 || ifail == 201){ + //Display the results + if(ctype == 5 || ctype == 6){ + //Exponential or Poisson distribtion + System.out.printf(" -- Charge Points -- Distribution\n"); + System.out.printf(" Number Position Parameter \n"); + System.out.println("====================================="); + for(int i = 0; i < ntau; i++){ + System.out.printf(" %d\t %d\t%.2f", i + 1, tau[i], sparam[i]); + } + + } + else{ + //Normal of Gamma distribution + System.out.printf(" -- Charge Points -- --- Distribution ---\n"); + System.out.printf(" Number Position Parameters\n"); + System.out.println("================================================="); + for(int i = 0; i < ntau; i++){ + System.out.printf(" %d\t %d\t %.2f\t %.2f\n", (i + 1), tau[i], sparam[2 * i], sparam[(2 * i) + 1]); + } + } + } + if(ifail == 200 || ifail == 201){ + System.out.println("Some truncation occured internally to avoid overflow"); + } + } +} diff --git a/simple_examples/int32/H02BBJE.java b/simple_examples/int32/H02BBJE.java new file mode 100644 index 0000000..04f4207 --- /dev/null +++ b/simple_examples/int32/H02BBJE.java @@ -0,0 +1,92 @@ +import com.nag.routines.H.H02BB; + +/** + * H02BBJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class H02BBJE{ + + /** + * H02BBJ example main program + */ + public static void main(String[] args){ + double bigbnd, objmip = 0, tolfes, toliv; + int ifail, intfst, itmax, lda, liwork, lrwork, m, maxdpt, maxnod, msglvl, n; + double[] a, bl, bu, cvec, rwork, x; + int[] intvar, iwork; + + System.out.println("H02BBJ Example Program Results"); + System.out.println(); + + //Data (can be read in from data file) + n = 2; + m = 3; + lda = m; + + a = new double[lda * n]; + bl = new double[m + n]; + bu = new double[m + n]; + cvec = new double[n]; + x = new double[n]; + intvar = new int[n]; + + itmax = 0; + msglvl = 10; + maxnod = 0; + intfst = 0; + maxdpt = 4; + tolfes = 0; + toliv = 0; + + cvec[0] = -3; + cvec[1] = -4; + + //A = ( 2, 5) + // ( 2, -2) + // ( 3, 2) + a[0] = 2; + a[1] = 2; + a[2] = 3; + a[3] = 5; + a[4] = -2; + a[5] = 2; + + bigbnd = 1E+20; + + bl[0] = 0; + bl[1] = 0; + bl[2] = -1E+20; + bl[3] = -1E+20; + bl[4] = 5; + + bu[0] = 1E+20; + bu[1] = 1E+20; + bu[2] = 15; + bu[3] = 5; + bu[4] = 1E+20; + + intvar[0] = 1; + intvar[1] = 1; + + x[0] = 1; + x[1] = 1; + + liwork = ((25 + n + m) * maxdpt) + (5 * n) + m + 4; + //Math.pow() needs to be casted to int in java + lrwork = (maxdpt * (n + 1)) + (2 * (int)Math.pow(Math.min(n, m + 1), 2)) + (14 * n) + (12 * m); + iwork = new int[liwork]; + rwork = new double[lrwork]; + + ifail = 0; + + H02BB h02bb = new H02BB(itmax, msglvl, n, m, a, lda, bl, bu, intvar, cvec, maxnod, intfst, maxdpt, toliv, + tolfes, bigbnd, x, objmip, iwork, liwork, rwork, lrwork, ifail); + h02bb.eval(); + } +} + + + + + diff --git a/simple_examples/int32/H02DAJE.java b/simple_examples/int32/H02DAJE.java new file mode 100644 index 0000000..6e90401 --- /dev/null +++ b/simple_examples/int32/H02DAJE.java @@ -0,0 +1,228 @@ +import com.nag.routines.H.H02DA; +import com.nag.routines.H.H02ZK; +import com.nag.routines.H.H02ZL; +import com.nag.routines.X04.X04CA; +import java.util.Arrays; + +/** + * H02DAJ exmaple program text + * @author willa + * @since 27.1.0.0 + */ +public class H02DAJE{ + + /** + * H02DAJ example main program + */ + public static void main(String[] args){ + double acc, accqp = 0, objmip = 0; + int ifail, ivalue = 0, lda, liopts, lopts, maxit, n, nclin, ncnln, optype = 0; + String cvalue; + double[] a, ax, bl, bu, c, cjac, d, objgrd, x, opts, ruser; + int[] iopts, iuser, varcon; + + System.out.println("H02DAJ Example Program Results"); + System.out.println(); + + opts = new double[100]; + ruser = new double[1]; + iopts = new int[200]; + iuser = new int[1]; + + //Blank 40 character string to represent ```Character (40) :: cvalue``` + char[] ch = new char[40]; + Arrays.fill(ch, ' '); + cvalue = new String(ch); + + n = 8; + nclin = 5; + ncnln = 2; + lda = nclin; + + a = new double[lda * n]; + d = new double[nclin]; + ax = new double[nclin]; + bl = new double[n]; + bu = new double[n]; + varcon = new int[n + nclin + ncnln]; + x = new double[n]; + c = new double[ncnln]; + cjac = new double[ncnln * n]; + objgrd = new double[n]; + + //Set variable types: continuous then binary + varcon[0] = 0; + varcon[1] = 0; + varcon[2] = 0; + varcon[3] = 0; + varcon[4] = 1; + varcon[5] = 1; + varcon[6] = 1; + varcon[7] = 1; + + //Set continuous variable bounds + bl[0] = 0; + bl[1] = 0; + bl[2] = 0; + bl[3] = 0; + bu[0] = 1000; + bu[1] = 1000; + bu[2] = 1000; + bu[3] = 1000; + + //Bounds for binary variables need not be provided + bl[4] = 0; + bl[5] = 0; + bl[6] = 0; + bl[7] = 0; + bu[4] = 1; + bu[5] = 1; + bu[6] = 1; + bu[7] = 1; + + //Set linear constraint, equality first + varcon[n] = 3; + varcon[n + 1] = 4; + varcon[n + 2] = 4; + varcon[n + 3] = 4; + varcon[n + 4] = 4; + + //Set Ax=d then Ax>=d + //( 1, 1, 1, 1, 0, 0, 0, 0) + //(-1, 0, 0, 0, 1, 0, 0, 0) + //( 0,-1, 0, 0, 0, 1, 0, 0) + //( 0, 0,-1, 0, 0, 0, 1, 0) + //( 0, 0, 0,-1, 0, 0, 0, 1) + a[0] = 1; + a[1] = -1; + a[5] = 1; + a[7] = -1; + a[10] = 1; + a[13] = -1; + a[15] = 1; + a[19] = -1; + a[21] = 1; + a[27] = 1; + a[33] = 1; + a[39] = 1; + d[0] = 1; + d[1] = 0; + d[2] = 0; + d[3] = 0; + d[4] = 0; + + //Set constraints supplied by CONFUN, equality first + varcon[n + nclin] = 3; + varcon[n + nclin + 1] = 4; + + liopts = iopts.length; + lopts = opts.length; + + //Initialize communication arrays + ifail = 0; + H02ZK h02zk = new H02ZK("Initialize = H02DAF", iopts, liopts, opts, lopts, ifail); + h02zk.eval(); + + + //Optimization parameters + maxit = 500; + acc = 0.000001; + + //Initial estimate (binary variables need not be given) + x[0] = 1; + x[1] = 1; + x[2] = 1; + x[3] = 1; + x[4] = 0; + x[5] = 0; + x[6] = 0; + x[7] = 0; + + //Portfolio parameters p and rho + iuser[0] = 3; + ruser[0] = 10; + + ifail = 0; + //Create objfun1, confun1 to pass to H02DA representing repsecitve subroutines + objfun objfun1 = new objfun(); + confun confun1 = new confun(); + H02DA h02da = new H02DA(n, nclin, ncnln, a, lda, d, ax, bl, bu, varcon, x, confun1, c, cjac, objfun1, + objgrd, maxit, acc, objmip, iopts, opts, iuser, ruser, ifail); + h02da.eval(); + + //Results + ifail = h02da.getIFAIL(); + if(ifail == 0){ + X04CA x04ca = new X04CA("G", "N", n, 1, x, n, "Final Esimate:", ifail); + x04ca.eval(); + + //Query the accuracy of the mixed integer QP Solver + ifail = -1; + H02ZL h02zl = new H02ZL("QP Accuracy", ivalue, accqp, cvalue, optype, iopts, opts, ifail); + h02zl.eval(); + + //Update values to print + accqp = h02zl.getRVALUE(); + objmip = h02da.getOBJMIP(); + ifail = h02zl.getIFAIL(); + if(ifail == 0){ + System.out.printf("Requested accuracy of QP subproblems\t%.4e\n", accqp); + } + System.out.printf("Optimised value:\t%.3f\n", objmip); + } + else{ + System.out.printf("h02daf returns ifail = %d\n", ifail); + } + } + + /** + * objfun class extending Abstract_H02DA_OBJFUN to represent objfun subroutine for passing to H02DA + */ + public static class objfun extends H02DA.Abstract_H02DA_OBJFUN{ + public void eval(){ + if(this.MODE == 0){ + //Objective value + this.OBJMIP = (this.X[0] * ((4 * this.X[0]) + (3 * this.X[1]) - this.X[2])) + + (this.X[1] * ((3 * this.X[0]) + (6 * this.X[1]) + this.X[2])) + + (this.X[2] * (this.X[1] - this.X[0] + (10 * this.X[2]))); + } + else{ + //Objective gradients for continous varaiables + this.OBJGRD[0] = (8 * this.X[0]) + (6 * this.X[1]) - (2 * this.X[2]); + this.OBJGRD[1] = (6 * this.X[0]) + (12 * this.X[1]) + (2 * this.X[2]); + this.OBJGRD[2] = (2 * (this.X[1] - this.X[0])) + (20 * this.X[2]); + this.OBJGRD[3] = 0; + } + } + } + + /** + * confun class extending Abstract_H02DA_CONFUN to represent confun subroutine for passing to H02DA + */ + public static class confun extends H02DA.Abstract_H02DA_CONFUN{ + public void eval(){ + if(this.MODE == 0){ + //Constraints + int p = this.IUSER[0]; + double rho = this.RUSER[0]; + + //Mean return rho: + this.C[0] = (8 * this.X[0]) + (9 * this.X[1]) + (12 * this.X[2]) + (7 * this.X[3]) - rho; + //Maximum of p assets in portfolio + this.C[1] = p - this.X[4] - this.X[5] - this.X[6] - this.X[7]; + } + else{ + //Jacobian + this.CJAC[0] = 8; + this.CJAC[2] = 9; + this.CJAC[4] = 12; + this.CJAC[6] = 7; + //c[2] does not include continuours varaibles which requries that their derivatives are zero + this.CJAC[1] = 0; + this.CJAC[3] = 0; + this.CJAC[5] = 0; + this.CJAC[7] = 0; + } + } + } +} diff --git a/simple_examples/int32/M01CCJE.java b/simple_examples/int32/M01CCJE.java new file mode 100644 index 0000000..fda5e2f --- /dev/null +++ b/simple_examples/int32/M01CCJE.java @@ -0,0 +1,42 @@ +import com.nag.routines.M01.M01CC; +import java.io.*; + +/** + * M01CC example program text. + */ +public class M01CCJE { + + public static void main(String[] args) throws Exception { + + String[] ch; + String order = "Reverse ASCII"; + int m1,m2,l1,l2; + int ifail = 0; + + BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); + + dataIn.readLine(); + m2 = Integer.parseInt(dataIn.readLine().trim().split(":+")[0].trim()); + ch = new String[m2]; + m1 = 1; + for (int i = m1-1; i < m2; ++i) { + ch[i] = dataIn.readLine(); + } + dataIn.close(); + l1 = 7; + l2 = 12; + + System.out.println(" M01CCJ Example Program Results"); + M01CC m01cc = new M01CC(ch, m1, m2, l1, l2, order, ifail); + m01cc.eval(); + ifail = m01cc.getIFAIL(); + System.out.println(); + System.out.printf(" Records sorted on columns %2d to %2d\n",l1,l2); + System.out.println(); + for (int i = m1-1; i < m2; ++i) { + System.out.println(" "+ch[i]); + } + + } + +} diff --git a/simple_examples/int32/S01BAJE.java b/simple_examples/int32/S01BAJE.java new file mode 100644 index 0000000..4bf2823 --- /dev/null +++ b/simple_examples/int32/S01BAJE.java @@ -0,0 +1,39 @@ +import com.nag.routines.S.S01BA; + +/** + * S01BAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S01BAJE{ + + /** + * S01BAJE main program + */ + public static void main(String[] args){ + double y; + int ifail; + double[] xVal; //data + + //store data + xVal = new double[6]; + xVal[0] = 2.5; + xVal[1] = 0.125; + xVal[2] = -0.906; + xVal[3] = 0.00129; + xVal[4] = -0.00000783; + xVal[5] = 0.000000001; + + System.out.println("S01BAJ Example Program Results"); + System.out.println(); + System.out.printf("\tX\t\tY\n"); + + for(double x : xVal){ + ifail = -1; + S01BA s01ba = new S01BA(x, ifail); + y = s01ba.eval(); + + System.out.printf("\t%.4e\t%.4e\n", x, y); + } + } +} diff --git a/simple_examples/int32/S10AAJE.java b/simple_examples/int32/S10AAJE.java new file mode 100644 index 0000000..2a0878a --- /dev/null +++ b/simple_examples/int32/S10AAJE.java @@ -0,0 +1,40 @@ +import com.nag.routines.S.S10AA; + +/** + * S10AAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S10AAJE{ + + /** + * S10AAJ example main program + */ + public static void main(String[] args){ + double y; + double[] xVal; + int ifail; + + //x values (can be read in from data file) + xVal = new double[4]; + xVal[0] = -20; + xVal[1] = -5.0; + xVal[2] = 0.5; + xVal[3] = 5.0; + + System.out.println("S10AAJ Example Program Results"); + + System.out.println(); + System.out.printf("\tX\t\tY"); + System.out.println(); + + for(double x : xVal){ + ifail = -1; + S10AA s10aa = new S10AA(x, ifail); + y = s10aa.eval(); + ifail = s10aa.getIFAIL(); + + System.out.printf("\t%.3e\t%.3e\n", x, y); + } + } +} diff --git a/simple_examples/int32/S10ABJE.java b/simple_examples/int32/S10ABJE.java new file mode 100644 index 0000000..dd84ab7 --- /dev/null +++ b/simple_examples/int32/S10ABJE.java @@ -0,0 +1,41 @@ +import com.nag.routines.S.S10AB; + +/** + * S10ABJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S10ABJE{ + + /** + * S10ABJ example main program + */ + public static void main(String[] args){ + double y; + double[] xVal; + int ifail; + + //x values (can be read in from data file) + xVal = new double[5]; + xVal[0] = -10; + xVal[1] = -0.5; + xVal[2] = 0; + xVal[3] = 0.5; + xVal[4] = 25.0; + + System.out.println("S10ABJ Example Program Results"); + + System.out.println(); + System.out.printf("\tX\t\tY"); + System.out.println(); + + for(double x : xVal){ + ifail = -1; + S10AB s10ab = new S10AB(x, ifail); + y = s10ab.eval(); + ifail = s10ab.getIFAIL(); + + System.out.printf("\t%.3e\t%.3e\n", x, y); + } + } +} diff --git a/simple_examples/int32/S10ACJE.java b/simple_examples/int32/S10ACJE.java new file mode 100644 index 0000000..cc0c04c --- /dev/null +++ b/simple_examples/int32/S10ACJE.java @@ -0,0 +1,41 @@ +import com.nag.routines.S.S10AC; + +/** + * S10ACJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S10ACJE{ + + /** + * S10ACJ example main program + */ + public static void main(String[] args){ + double y; + double[] xVal; + int ifail; + + //x values (can be read in from data file) + xVal = new double[5]; + xVal[0] = -10; + xVal[1] = -0.5; + xVal[2] = 0; + xVal[3] = 0.5; + xVal[4] = 25.0; + + System.out.println("S10ACJ Example Program Results"); + + System.out.println(); + System.out.printf("\tX\t\tY"); + System.out.println(); + + for(double x : xVal){ + ifail = -1; + S10AC s10ac = new S10AC(x, ifail); + y = s10ac.eval(); + ifail = s10ac.getIFAIL(); + + System.out.printf("\t%.3e\t%.3e\n", x, y); + } + } +} diff --git a/simple_examples/int32/S14ABJE.java b/simple_examples/int32/S14ABJE.java new file mode 100644 index 0000000..673a4b3 --- /dev/null +++ b/simple_examples/int32/S14ABJE.java @@ -0,0 +1,71 @@ +import com.nag.routines.S.S14AB; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * S14ABJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S14ABJE{ + + /** + * S14ABJ example main program + */ + public static void main(String[] args){ + double x, y; + int ifail; + + System.out.println("S14ABJ Example Program Results"); + + //Supply file path as argument + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + System.out.println(); + System.out.printf("\tX\t\tY"); + System.out.println(); + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //loop until break + while(true){ + line = reader.readLine(); + + //if finished looping through file break + if(line == null){ + break; + } + String[] sVal = line.split("\\s+"); + + x = Double.parseDouble(sVal[1]); + + ifail = -1; + S14AB s14ab = new S14AB(x, ifail); + y = s14ab.eval(); + //update ifail + ifail = s14ab.getIFAIL(); + + if(ifail < 0){ + break; + } + System.out.printf("\t%.3e\t%.3e\n", x, y); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} + diff --git a/simple_examples/int32/S14ACJE.java b/simple_examples/int32/S14ACJE.java new file mode 100644 index 0000000..e2fff05 --- /dev/null +++ b/simple_examples/int32/S14ACJE.java @@ -0,0 +1,68 @@ +import com.nag.routines.S.S14AC; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * S14ACJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S14ACJE{ + + /** + * S14ACJ example main program + */ + public static void main(String[] args){ + double f, x; + int ifail; + + System.out.println("S14ACJ Example Program Results"); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + System.out.println(); + System.out.printf("\tX\tpsi(X)-log(X)\n"); + System.out.println(); + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //Loop until break... + while(true){ + line = reader.readLine(); + if(line == null){ + break; + } + String[] sVal = line.split("\\s+"); + + x = Double.parseDouble(sVal[0]); + + ifail = -1; + S14AC s14ac = new S14AC(x, ifail); + f = s14ac.eval(); + ifail = s14ac.getIFAIL(); + + if(ifail < 0){ + break; + } + + System.out.printf("\t%.4f\t%.4f\n", x, f); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} diff --git a/simple_examples/int32/S14AFJE.java b/simple_examples/int32/S14AFJE.java new file mode 100644 index 0000000..9005cc1 --- /dev/null +++ b/simple_examples/int32/S14AFJE.java @@ -0,0 +1,80 @@ +import com.nag.routines.S.S14AF; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * S14AFJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class S14AFJE{ + + /** + * S14AFJ Example main program + */ + public static void main(String[] args){ + NAGComplex y, z; + int ifail, k; + + //Tell the wrapper the type of complex being used before calling a routine + Routine.setComplex(new NAGComplex()); + + y = new NAGComplex(); + z = new NAGComplex(); + + System.out.println("S14AFJ Example Program Results"); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); + + System.out.println(); + System.out.println("\tZ\t\tK\t(d^K/dz^K)psi(Z)"); + System.out.println(); + + //loop until break... + while(true){ + line = reader.readLine(); + + //end of file reached + if(line == null){ + break; + } + + String[] sVal = line.split("\\s+"); + z.setRe(Double.parseDouble(sVal[0])); + z.setIm(Double.parseDouble(sVal[1])); + k = Integer.parseInt(sVal[2]); + + ifail = -1; + S14AF s14af = new S14AF(z, k, ifail); + y = (NAGComplex) s14af.eval(); + ifail = s14af.getIFAIL(); + + //ifail < 0 => error + if(ifail < 0){ + break; + } + System.out.printf("\t(%.1f, %.1f)\t%d\t(%.4e, %.4e)\n", z.getRe(), z.getIm(), k, y.getRe(), y.getIm()); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} diff --git a/simple_examples/int32/S17DCJE.java b/simple_examples/int32/S17DCJE.java new file mode 100644 index 0000000..ba01290 --- /dev/null +++ b/simple_examples/int32/S17DCJE.java @@ -0,0 +1,69 @@ +import com.nag.routines.S.S17DC; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +public class S17DCJE{ + private static int n = 2; + + public static void main(String[] args){ + double fnu; + int ifail, nz = 0; + String scal; + NAGComplex z; + NAGComplex[] cwrk, cy; + + z = new NAGComplex(); + //initiate complex arrays like this to save looping through and doing it manually by looping through + cwrk = NAGComplex.createArray(n); + cy = NAGComplex.createArray(n); + + System.out.println("S17DCF Example Program Results"); + + //Supply file path as argument + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + System.out.println(); + System.out.printf("Calling with N = %d\n", n); + System.out.println(); + System.out.printf("FNU\tZ\t\t\tSCAL\tCY[0]\t\t\tCY[1]\t\t\tNZ"); + System.out.println(); + + while(true){ + line = reader.readLine(); + if(line == null){ + break; + } + String[] sVal = line.split("\\s+"); + fnu = Double.parseDouble(sVal[0]); + z.setRe(Double.parseDouble(sVal[1])); + z.setIm(Double.parseDouble(sVal[2])); + scal = sVal[3].substring(1,2); + + ifail = 0; + S17DC s17dc = new S17DC(fnu, z, n, scal, cy, nz, cwrk, ifail); + s17dc.eval(); + + System.out.printf("%.4f\t(%.4f, %.4f)\t%s\t(%.4f, %.4f)\t(%.4f, %.4f)\t%d\n", fnu, z.getRe(), z.getIm(), scal, cy[0].getRe(), cy[0].getIm(), cy[1].getRe(), cy[1].getIm(), nz); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} + diff --git a/simple_examples/int32/S17DGJE.java b/simple_examples/int32/S17DGJE.java new file mode 100644 index 0000000..b93c9e0 --- /dev/null +++ b/simple_examples/int32/S17DGJE.java @@ -0,0 +1,61 @@ +import com.nag.routines.S.S17DG; +import com.nag.types.NAGComplex; +import java.io.*; +import java.util.regex.Matcher; +import java.util.regex.Pattern; + +/** + * S17DG example program text. + */ +public class S17DGJE { + + public static void main(String[] args) throws Exception { + String deriv,scal; + int ifail = 1; + NAGComplex z,ai; + int nz = -1; + z = new NAGComplex(); + ai = new NAGComplex(); + ai.setRe(Double.NaN); + ai.setIm(Double.NaN); + + System.out.println(" S17DGJ Example Program Results"); + BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); + + dataIn.readLine(); + System.out.println(); + System.out.println(" DERIV Z SCAL AI NZ"); + System.out.println(); + String line = dataIn.readLine(); + Pattern linePatt = Pattern.compile("\\s*'([A-Z]{1})'\\s+\\(\\s*([0-9\\.\\-]+)\\s*," + + "\\s*([0-9\\.\\-]+)\\s*\\)\\s+'([A-Z]{1})'\\s*"); + Matcher m; + S17DG s17dg = new S17DG(); + while (line != null) { + m = linePatt.matcher(line); + if (m.matches()) { + deriv = m.group(1); + z.setRe(Double.parseDouble(m.group(2))); + z.setIm(Double.parseDouble(m.group(3))); + scal = m.group(4); + ifail = 1;// SOFT AND SILENT FAILURE + s17dg.eval(deriv,z,scal,ai,nz,ifail); + if (s17dg.getIFAIL() == 0) { + System.out.printf(" %s (%8.4f,%8.4f) %s (%8.4f,%8.4f) %4d\n", + s17dg.getDERIV(), s17dg.getZ().getRe(), s17dg.getZ().getIm(), s17dg.getSCAL(), + s17dg.getAI().getRe(), s17dg.getAI().getIm(), s17dg.getNZ()); + } + else { + System.err.println("Something went wrong - S17DG returned IFAIL = "+s17dg.getIFAIL()); + System.exit(-1); + } + } + else { + System.out.println("Can't match:\n"+line); + } + line = dataIn.readLine(); + } + + } + +} diff --git a/simple_examples/int32/S30AAJE.java b/simple_examples/int32/S30AAJE.java new file mode 100644 index 0000000..7e01ffe --- /dev/null +++ b/simple_examples/int32/S30AAJE.java @@ -0,0 +1,109 @@ +import com.nag.routines.S.S30AA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * S30AAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S30AAJE{ + + /** + * S30AAJ main program + */ + public static void main(String[] args){ + double q = 0, r = 0, s = 0, sigma = 0; + int ifail, ldp, m = 0, n = 0; + String calput = ""; //placeholders + double[] p, t, x; + + //placeholders + t = new double[0]; + x = new double[0]; + + System.out.println("S30AAJ Example Program Results"); + + //Supply file path as arugment + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + calput = sVal[0].substring(1,2); + + line = reader.readLine(); + sVal = line.split("\\s+"); + s = Double.parseDouble(sVal[0]); + sigma = Double.parseDouble(sVal[1]); + r = Double.parseDouble(sVal[2]); + q = Double.parseDouble(sVal[3]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + m = Integer.parseInt(sVal[0]); + n = Integer.parseInt(sVal[1]); + + t = new double[n]; + x = new double[m]; + + for(int i = 0; i < m; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + x[i] = Double.parseDouble(sVal[0]); + } + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + t[i] = Double.parseDouble(sVal[0]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ldp = m; + p = new double[ldp * n]; + + ifail = 0; + S30AA s30aa = new S30AA(calput, m, n, x, s, t, sigma, r, q, p, ldp, ifail); + s30aa.eval(); + + System.out.println(); + System.out.println("Black-Scholes-Merton formula"); + + if(calput.toLowerCase().equals("c")){ + System.out.println("European Call : "); + } + else if(calput.toLowerCase().equals("p")){ + System.out.println("European Put : "); + } + + System.out.printf(" Spot =\t%.4f\n", s); + System.out.printf(" Volatility =\t%.4f\n", sigma); + System.out.printf(" Rate =\t%.4f\n", r); + System.out.printf(" Dividend =\t%.4f\n", q); + + System.out.println(); + System.out.printf(" Strike\tExpiry\tOption Price\n"); + for(int i = 0; i < m; i++){ + for(int j = 0; j < n; j++){ + System.out.printf(" %.4f\t%.4f\t%.4f\n", x[i], t[j], p[i + (j * 3)]); + } + } + } +} + diff --git a/simple_examples/int32/S30ACJE.java b/simple_examples/int32/S30ACJE.java new file mode 100644 index 0000000..8d994dc --- /dev/null +++ b/simple_examples/int32/S30ACJE.java @@ -0,0 +1,129 @@ +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.Arrays; + +import com.nag.routines.S.S30AC; + +/** + * S30AC example program text. + */ +public class S30ACJE { + + public static void main(String[] args) { + + int i, ifail, mode = 0, n = 0; + String calput; + + double[] k = null, p = null, r = null, s0 = null, sigma = null, t = null; + int[] ivalid = null; + + // Strings must be length expected by Fortran + calput = getBlankString(1); + + /* Header */ + System.out.println(" S30ACJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); // skip header + + System.out.println(); + System.out.println(" SIGMA IVALID"); + System.out.println(); + + line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + calput = sVal[0].replaceAll("\'", ""); + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + mode = Integer.parseInt(sVal[1]); + + line = reader.readLine(); // skip empty line + + p = new double[n]; + k = new double[n]; + s0 = new double[n]; + t = new double[n]; + r = new double[n]; + sigma = new double[n]; + ivalid = new int[n]; + + // Read p, k, s0, t and r from data file + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + p[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + k[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + s0[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + t[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + r[i] = Double.parseDouble(sVal[i]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Find the implied volatilities, sigma + ifail = 0; + S30AC s30ac = new S30AC(); + s30ac.eval(calput, n, p, k, s0, t, r, sigma, mode, ivalid, ifail); + + // Print solution + for (i = 0; i < n; i++) { + System.out.printf(" %12.3E%5d\n", sigma[i], ivalid[i]); + } + + } + + /** + * Returns a new String, filled with spaces to the specified length. + * + * @param len the required length of the String + * @return a blank String of the specified length + */ + public static String getBlankString(int len) { + + if (len > 0) { + char[] arr = new char[len]; + Arrays.fill(arr, ' '); + return new String(arr); + } + + return ""; + + } +} diff --git a/simple_examples/int32/X03AAJE.java b/simple_examples/int32/X03AAJE.java new file mode 100644 index 0000000..b03f1ab --- /dev/null +++ b/simple_examples/int32/X03AAJE.java @@ -0,0 +1,87 @@ +import com.nag.routines.X03.X03AA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * X03AAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class X03AAJE{ + + /** + * X03AAJ example main program. + */ + public static void main(String[] args){ + int n = 3; + double c1 = 0, c2 = 0, d1 = 0, d2 = 0; //placeholder + int ifail, isizea, isizeb, istepa, istepb; + boolean sw; + double[] a, b; + + a = new double[n * n]; + b = new double[n]; + + System.out.println("X03AAF Example Program Results"); + System.out.println(); + + if(args.length != 1){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //stored column wise + //a = (-2, -3, 7) + // ( 2, -5, 3) + // (-9, 1, 0) + for(int i = 0; i < n; i++){ + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + for(int j = 0; j < n; j++){ + a[i + (j * n)] = Double.parseDouble(sVal[j + 1]); + } + } + + line = reader.readLine(); + for(int i = 0; i < n; i++){ + String[] sVal = line.split("\\s+"); + b[i] = Double.parseDouble(sVal[i + 1]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + + c1 = 1; + c2 = 0; + isizea = n; + isizeb = n; + istepa = 1; + istepb = 1; + sw = true; + + ifail = 0; + X03AA x03aa = new X03AA(a , isizea, b, isizeb, n, istepa, istepb, c1, c2, d1, d2, sw, ifail); + x03aa.eval(); + + //update + c1 = x03aa.getC1(); + c2 = x03aa.getC2(); + d1 = x03aa.getD1(); + d2 = x03aa.getD2(); + + System.out.printf("D1 = %.1f D2 = %.1f\n", d1, d2); + } +} diff --git a/simple_examples/int32/X04CBJE.java b/simple_examples/int32/X04CBJE.java new file mode 100644 index 0000000..fa77c3a --- /dev/null +++ b/simple_examples/int32/X04CBJE.java @@ -0,0 +1,53 @@ +import com.nag.routines.X04.X04CB; + +/** + * X04CBJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class X04CBJE{ + + /** + * X04CBJ example main program + */ + public static void main(String[] args){ + int nmax = 5, lda = nmax, ifail, indent, ncols; + double[] a; + + a = new double[lda * nmax]; + + String[] clabs = {"Un ", "Deux ", "Trois ", "Quatre ", "Cinq "}; + String[] rlabs = {"Uno ", "Due ", "Tre ", "Quattro", "Cinque "}; + + System.out.println("X04CBJ Example Program Results"); + System.out.println(); + + //generate an array of data + for(int i = 0; i < nmax; i++){ + for(int j = 0; j < lda; j++){ + a[(i * lda) + j] = (double) ((10 * (j + 1)) + i + 1); + } + } + + ncols = 80; + indent = 0; + + //Print 3 by nmax rectangular matrix with default format and integer row and column labels + ifail = 0; + X04CB x04cb = new X04CB("General", " ", 3, nmax, a, lda, " ", "Example 1", "Integer", rlabs, "Integer", + clabs, ncols, indent, ifail); + x04cb.eval(); + System.out.println(); + + //Print nmax by namx upper triangular matrix with user-supplied format and row and column labels + ifail = 0; + x04cb.eval("Upper", "Non-unit", nmax, nmax, a, lda, "F8.2", "Example 2:", "Character", rlabs, "Character", + clabs, ncols, indent, ifail); + System.out.println(); + + //Print 3 by nmax lower triangular matrix in MATLAB format + //Row and column labelling is ignored + ifail = 0; + x04cb.eval("Lower", "Non-unit", 3, nmax, a, lda, "MATLABF8.2", "A", " ", rlabs, " ", clabs, ncols, indent, ifail); + } +} diff --git a/simple_examples/int32/X05ABJE.java b/simple_examples/int32/X05ABJE.java new file mode 100644 index 0000000..acb3804 --- /dev/null +++ b/simple_examples/int32/X05ABJE.java @@ -0,0 +1,25 @@ +import com.nag.routines.X05.X05AB; + +/** + * X05AB example program text. + */ +public class X05ABJE { + + public static void main(String[] args) { + + int[] itime = new int[7]; + + itime[0] = 1789; + itime[1] = 7; + itime[2] = 14; + itime[3] = 13; + itime[4] = 11; + itime[5] = 48; + itime[6] = 320; + + System.out.println(" X05ABJ Example Program Results"); + System.out.println((new X05AB(itime)).eval()); + + } + +} From 60f521a21a7e62774f57f3630c1216052c0045bd Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 15 Jan 2021 13:21:21 +0000 Subject: [PATCH 113/196] Removed wrong files --- simple_examples/int32/A00AAJE.java | 16 -- simple_examples/int32/A00ACJE.java | 29 -- simple_examples/int32/A00ADJE.java | 107 -------- simple_examples/int32/C02AAJE.java | 174 ------------ simple_examples/int32/C02ABJE.java | 217 --------------- simple_examples/int32/C02AFJE.java | 271 ------------------- simple_examples/int32/C02AGJE.java | 262 ------------------ simple_examples/int32/C02AHJE.java | 61 ----- simple_examples/int32/C02AJJE.java | 65 ----- simple_examples/int32/C02AKJE.java | 62 ----- simple_examples/int32/C02ALJE.java | 64 ----- simple_examples/int32/C02AMJE.java | 75 ------ simple_examples/int32/C02ANJE.java | 80 ------ simple_examples/int32/C05AUJE.java | 67 ----- simple_examples/int32/C05AWJE.java | 59 ---- simple_examples/int32/C05AYJE.java | 44 --- simple_examples/int32/C05AZJE.java | 65 ----- simple_examples/int32/C05BBJE.java | 89 ------ simple_examples/int32/C05MBJE.java | 95 ------- simple_examples/int32/C05QBJE.java | 167 ------------ simple_examples/int32/C06BAJE.java | 56 ---- simple_examples/int32/C06FKJE.java | 91 ------- simple_examples/int32/C09AAJE.java | 158 ----------- simple_examples/int32/D01BDJE.java | 58 ---- simple_examples/int32/D01RJJE.java | 184 ------------- simple_examples/int32/D01RKJE.java | 173 ------------ simple_examples/int32/D01RLJE.java | 196 -------------- simple_examples/int32/D01RMJE.java | 163 ----------- simple_examples/int32/D01TCJE.java | 45 ---- simple_examples/int32/D02NEJE.java | 388 -------------------------- simple_examples/int32/D02TLJE.java | 290 -------------------- simple_examples/int32/D03PCJE.java | 217 --------------- simple_examples/int32/D03RAJE.java | 307 --------------------- simple_examples/int32/D03RBJE.java | 388 -------------------------- simple_examples/int32/D05BAJE.java | 111 -------- simple_examples/int32/D05BEJE.java | 185 ------------- simple_examples/int32/DTFSMJE.java | 54 ---- simple_examples/int32/E01DAJE.java | 182 ------------- simple_examples/int32/E02ALJE.java | 101 ------- simple_examples/int32/E04ABJE.java | 76 ------ simple_examples/int32/E04BBJE.java | 81 ------ simple_examples/int32/E04CBJE.java | 90 ------- simple_examples/int32/E04FCJE.java | 420 ----------------------------- simple_examples/int32/E04FFJE.java | 140 ---------- simple_examples/int32/E04GBJE.java | 183 ------------- simple_examples/int32/E04GGJE.java | 219 --------------- simple_examples/int32/E04MTJE.java | 132 --------- simple_examples/int32/E04MXJE.java | 292 -------------------- simple_examples/int32/E04NCJE.java | 246 ----------------- simple_examples/int32/E04NFJE.java | 234 ---------------- simple_examples/int32/E04NKJE.java | 295 -------------------- simple_examples/int32/E04NQJE.java | 384 -------------------------- simple_examples/int32/E04PTJE.java | 344 ----------------------- simple_examples/int32/E04RPJE.java | 199 -------------- simple_examples/int32/E04RSJE.java | 229 ---------------- simple_examples/int32/E04RTJE.java | 225 ---------------- simple_examples/int32/E04SAJE.java | 104 ------- simple_examples/int32/E04TAJE.java | 188 ------------- simple_examples/int32/E04TCJE.java | 263 ------------------ simple_examples/int32/E04UCJE.java | 211 --------------- simple_examples/int32/E04YAJE.java | 112 -------- simple_examples/int32/F01ADJE.java | 39 --- simple_examples/int32/F01CKJE.java | 60 ----- simple_examples/int32/F01CRJE.java | 47 ---- simple_examples/int32/F01DGJE.java | 72 ----- simple_examples/int32/F01ELJE.java | 89 ------ simple_examples/int32/F01EMJE.java | 106 -------- simple_examples/int32/F02EKJE.java | 227 ---------------- simple_examples/int32/F02FKJE.java | 230 ---------------- simple_examples/int32/F02WGJE.java | 132 --------- simple_examples/int32/F03BAJE.java | 108 -------- simple_examples/int32/F04AMJE.java | 114 -------- simple_examples/int32/F04BAJE.java | 144 ---------- simple_examples/int32/F05AAJE.java | 99 ------- simple_examples/int32/F06CLJE.java | 40 --- simple_examples/int32/F07AAJE.java | 90 ------- simple_examples/int32/F07ABJE.java | 134 --------- simple_examples/int32/F07ADJE.java | 72 ----- simple_examples/int32/F07AQJE.java | 99 ------- simple_examples/int32/F07FAJE.java | 79 ------ simple_examples/int32/F07FBJE.java | 122 --------- simple_examples/int32/F08BTJE.java | 228 ---------------- simple_examples/int32/F08FAJE.java | 113 -------- simple_examples/int32/F08XPJE.java | 297 -------------------- simple_examples/int32/G01ALJE.java | 55 ---- simple_examples/int32/G02AKJE.java | 68 ----- simple_examples/int32/G02BJJE.java | 303 --------------------- simple_examples/int32/G02BRJE.java | 134 --------- simple_examples/int32/G02DAJE.java | 187 ------------- simple_examples/int32/G02EEJE.java | 184 ------------- simple_examples/int32/G02MAJE.java | 130 --------- simple_examples/int32/G03GAJE.java | 355 ------------------------ simple_examples/int32/G05KFJE.java | 105 -------- simple_examples/int32/G13AWJE.java | 31 --- simple_examples/int32/G13MEJE.java | 160 ----------- simple_examples/int32/G13NAJE.java | 123 --------- simple_examples/int32/H02BBJE.java | 92 ------- simple_examples/int32/H02DAJE.java | 228 ---------------- simple_examples/int32/M01CCJE.java | 42 --- simple_examples/int32/S01BAJE.java | 39 --- simple_examples/int32/S10AAJE.java | 40 --- simple_examples/int32/S10ABJE.java | 41 --- simple_examples/int32/S10ACJE.java | 41 --- simple_examples/int32/S14ABJE.java | 71 ----- simple_examples/int32/S14ACJE.java | 68 ----- simple_examples/int32/S14AFJE.java | 80 ------ simple_examples/int32/S17DCJE.java | 69 ----- simple_examples/int32/S17DGJE.java | 61 ----- simple_examples/int32/S30AAJE.java | 109 -------- simple_examples/int32/S30ACJE.java | 129 --------- simple_examples/int32/X03AAJE.java | 87 ------ simple_examples/int32/X04CBJE.java | 53 ---- simple_examples/int32/X05ABJE.java | 25 -- 113 files changed, 15934 deletions(-) delete mode 100644 simple_examples/int32/A00AAJE.java delete mode 100644 simple_examples/int32/A00ACJE.java delete mode 100644 simple_examples/int32/A00ADJE.java delete mode 100644 simple_examples/int32/C02AAJE.java delete mode 100644 simple_examples/int32/C02ABJE.java delete mode 100644 simple_examples/int32/C02AFJE.java delete mode 100644 simple_examples/int32/C02AGJE.java delete mode 100644 simple_examples/int32/C02AHJE.java delete mode 100644 simple_examples/int32/C02AJJE.java delete mode 100644 simple_examples/int32/C02AKJE.java delete mode 100644 simple_examples/int32/C02ALJE.java delete mode 100644 simple_examples/int32/C02AMJE.java delete mode 100644 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Program Results\n"); - a00aa.eval(); - - } - -} diff --git a/simple_examples/int32/A00ACJE.java b/simple_examples/int32/A00ACJE.java deleted file mode 100644 index 7f44ba3..0000000 --- a/simple_examples/int32/A00ACJE.java +++ /dev/null @@ -1,29 +0,0 @@ -import com.nag.routines.A00.A00AC; - -/** - * A00AC example program text. - * @author Mo - */ -public class A00ACJE { - - public static void main(String[] args) { - A00AC a00ac = new A00AC(); - boolean lmok; - - System.out.println(" A00ACJ Example Program Results\n"); - System.out.println(); - - a00ac.eval(); - - lmok = a00ac.eval(); - - if (lmok) { - System.out.println("A valid licence key is available"); - } - else { - System.out.println("No valid licence key was found"); - } - - } - -} diff --git a/simple_examples/int32/A00ADJE.java b/simple_examples/int32/A00ADJE.java deleted file mode 100644 index 139c8b9..0000000 --- a/simple_examples/int32/A00ADJE.java +++ /dev/null @@ -1,107 +0,0 @@ -import com.nag.routines.A00.A00AD; -import com.nag.routines.X05.X05AA; -import java.util.Arrays; - -/** - * A00AD example program text. - */ -public class A00ADJE { - - public static void main(String[] args) { - - A00AD a00ad = new A00AD(); - X05AA x05aa = new X05AA(); - int i, mkmaj, mkmin; - boolean licval; - String fcomp, hdware, impl, opsys, pcode, prec, vend; - int[] itime = new int[7]; - - // Instantiate arguments - mkmaj = 0; - mkmin = 0; - licval = false; - - // Strings must be length expected by Fortran - fcomp = getBlankString(80); - hdware = getBlankString(80); - impl = getBlankString(80); - opsys = getBlankString(80); - pcode = getBlankString(80); - prec = getBlankString(80); - vend = getBlankString(80); - - System.out.println(" A00ADJ Example Program Results\n"); - - a00ad.eval(impl, prec, pcode, mkmaj, mkmin, hdware, opsys, fcomp, vend, licval); - - // Output scalars must be retrieved manually - impl = a00ad.getIMPL(); - prec = a00ad.getPREC(); - pcode = a00ad.getPCODE(); - mkmaj = a00ad.getMKMAJ(); - mkmin = a00ad.getMKMIN(); - hdware = a00ad.getHDWARE(); - opsys = a00ad.getOPSYS(); - fcomp = a00ad.getFCOMP(); - vend = a00ad.getVEND(); - licval = a00ad.getLICVAL(); - - // Print implementation details - - System.out.println("*** Start of NAG Library implementation details ***"); - System.out.println(); - System.out.println("Implementation title: " + impl.trim()); - System.out.println(" Precision: " + prec.trim()); - System.out.println(" Product code: " + pcode.trim()); - - if (mkmin < 10) { - System.out.printf(" Mark: %2d.%1d\n", mkmaj, mkmin); - } - else { - System.out.printf(" Mark: %2d.%2d\n", mkmaj, mkmin); - } - - if (vend.trim().equals("(self-contained)")) { - System.out.println(" Vendor Library: None"); - } - else { - System.out.println(" Vendor Library: " + vend.trim()); - } - - System.out.println("Applicable to:"); - System.out.println(" hardware: " + hdware.trim()); - System.out.println(" operating system: " + opsys.trim()); - System.out.println(" Fortran compiler: " + fcomp.trim()); - System.out.println("and compatible systems."); - - if (!licval) { - System.out.println(" Licence query: Unsuccessful"); - } - else { - System.out.println(" Licence query: Successful"); - } - - System.out.println(); - System.out.println("*** End of NAG Library implementation details ***"); - - } - - /** - * Returns a new String, filled with spaces to the specified length. - * - * @param len the required length of the String - * @return a blank String of the specified length - */ - public static String getBlankString(int len) { - - if (len > 0) { - char[] arr = new char[len]; - Arrays.fill(arr, ' '); - return new String(arr); - } - - return ""; - - } - -} diff --git a/simple_examples/int32/C02AAJE.java b/simple_examples/int32/C02AAJE.java deleted file mode 100644 index 1abc528..0000000 --- a/simple_examples/int32/C02AAJE.java +++ /dev/null @@ -1,174 +0,0 @@ -import com.nag.routines.C02.C02AA; -import com.nag.routines.Routine; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X02.X02AL; -import com.nag.types.NAGComplex; -import java.util.Arrays; - -/** - * C02AA example program text. - * @author joed - * @since 27.1.0.0 - */ -public class C02AAJE { - - public static void main(String[] args) { - - System.out.println(" C02AAJ Example Program Results"); - - Routine.setComplex(new NAGComplex()); - exampleBasic(); - examplePolishing(); - - System.out.println(); - - } - - /** Demonstrate a basic problem. */ - public static void exampleBasic() { - - C02AA c02aa = new C02AA(); - int ifail, itmax, n, polish; - NAGComplex[] a, z; - double[] berr, cond; - int[] conv; - - System.out.println(); - System.out.println("Example 1: Basic Problem"); - System.out.println(); - - // Set polynomial degree and instantiate arrays - n = 5; - a = new NAGComplex[n+1]; - berr = new double[n]; - cond = new double[n]; - conv = new int[n]; - z = NAGComplex.createArray(n); - - // Set polynomial coefficients - a[0] = new NAGComplex(5.0, 6.0); - a[1] = new NAGComplex(30.0, 20.0); - a[2] = new NAGComplex(-0.2, -6.0); - a[3] = new NAGComplex(50.0, 100000.0); - a[4] = new NAGComplex(-2.0, 40.0); - a[5] = new NAGComplex(10.0, 1.0); - - // Find roots of the polynomial - itmax = 30; - polish = 1; - ifail = 0; - c02aa.eval(a, n, itmax, polish, z, berr, cond, conv, ifail); - - // Print output - System.out.println(" i z conv berr cond "); - System.out.println(" ---------------------------------------------------"); - for (int i = 0; i < n; i++) { - System.out.printf(" %2d %9.2E, %9.2E %3d %9.2E %9.2E\n", i+1, - z[i].getRe(), z[i].getIm(), conv[i], berr[i], cond[i]); - } - - } - - /** Compare polishing processes on a Wilkinson-style polynomial. */ - public static void examplePolishing() { - - C02AA c02aa = new C02AA(); - X02AJ x02aj = new X02AJ(); - X02AL x02al = new X02AL(); - NAGComplex pz; - double delta, eps, err, fwderr, maxfwderr, maxrelerr, relerr, rmax; - int ifail, itmax, k, n, polish; - NAGComplex[] a, z, zact; - double[] berr, cond; - int[] conv; - boolean[] matched; - - System.out.println(); - System.out.println("Example 2: Polishing Processes"); - System.out.println(); - - // Set polynomial degree and instantiate - n = 10; - a = new NAGComplex[n+1]; - berr = new double[n]; - cond = new double[n]; - conv = new int[n]; - matched = new boolean[n]; - z = new NAGComplex[n]; - zact = new NAGComplex[n]; - - // Set known roots and (instantiate z) - for (int i = 0; i < n; i++) { - zact[i] = new NAGComplex((double) i+1, 0.0); - z[i] = new NAGComplex(); - } - - // Multiply out (z-1)(z-2)...(z-n) for coefficients - for (int i = 0; i < n; i++) { - a[i] = new NAGComplex(); - } - a[n] = new NAGComplex(1.0, 0.0); - for (int i = 0; i < n; i++) { - for (int j = 0; j < n; j++) { - a[j] = a[j+1].subtract(a[j].multiply(zact[i])); - } - a[n] = a[n].negate().multiply(zact[i]); - } - - System.out.println(" polish relerr fwderr "); - System.out.println(" ----------------------------"); - - itmax = 30; - eps = x02aj.eval(); - rmax = x02al.eval(); - - for (polish = 0; polish <= 2; polish++) { - - // Find roots - ifail = 0; - c02aa.eval(a, n, itmax, polish, z, berr, cond, conv, ifail); - - /* Calculate the maximum relative errors of the roots, and the maximum - * forward error evaluating the polynomial at those roots. Errors are - * capped at machine precision. */ - maxrelerr = maxfwderr = eps; - Arrays.fill(matched, false); - - for (int i = 0; i < n; i++) { - - // Evaluate polynomial at this root - pz = a[0].clone(); - for (int j = 1; j <= n; j++) { - pz = z[i].multiply(pz).add(a[j]); - } - - // Match to an expected root - k = 0; - err = rmax; - for (int j = 0; j < n; j++) { - if (!matched[j]) { - delta = z[i].subtract(zact[j]).abs(); - if (delta <= err) { - err = delta; - k = j; - } - } - } - - // Mark as matched and update max errors - matched[k] = true; - relerr = err/zact[k].abs(); - fwderr = pz.abs(); - maxrelerr = Math.max(maxrelerr, relerr); - maxfwderr = Math.max(maxfwderr, fwderr); - - } - - // Print output - System.out.printf(" %2d %10.2E%10.2E\n", polish, maxrelerr, maxfwderr); - - } - - } - -} diff --git a/simple_examples/int32/C02ABJE.java b/simple_examples/int32/C02ABJE.java deleted file mode 100644 index fad5ebb..0000000 --- a/simple_examples/int32/C02ABJE.java +++ /dev/null @@ -1,217 +0,0 @@ -import com.nag.routines.C02.C02AB; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X02.X02AL; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.util.Arrays; - -/** - * C02AB - */ -public class C02ABJE { - - public static void main(String[] args) { - - final boolean polish_example = false; - - Routine.setComplex(new NAGComplex()); - - System.out.println(" C02ABJ Example Program Results"); - - ex1_basic(args); - if (polish_example) { - ex2_polishing(args); - } - } - - public static void ex1_basic(String[] args) { - - int i, ifail, itmax, n = 0, polish; - - NAGComplex[] z = null; - double[] a = null, berr = null, cond = null; - int[] conv = null; - - System.out.println("\n Basic Problem\n"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading in data file - String line = reader.readLine(); - line = reader.readLine(); - line = reader.readLine(); - - // Read polynomial degree and allocate - line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - a = new double[n + 1]; - berr = new double[n]; - cond = new double[n]; - conv = new int[n]; - z = NAGComplex.createArray(n); - - // Read polynomial coefficients - for (i = 0; i <= n; i++) { - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - a[i] = Double.parseDouble(sVal[0]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Find roots of the polynomial - itmax = 30; - polish = 1; - ifail = 0; - C02AB c02ab = new C02AB(); - c02ab.eval(a ,n, itmax, polish, z, berr, cond, conv, ifail); - - // Print output - System.out.println(" i z conv berr cond"); - System.out.println(" -----------------------------------------------------"); - for (i = 0; i < n; i++) { - System.out.printf(" %2d (%10.2E, %9.2E) %3d %9.2E %9.2E\n", i+1, z[i].getRe(), z[i].getIm(), conv[i], berr[i], cond[i]); - } - } - - public static void ex2_polishing(String[] args) { - NAGComplex pz = new NAGComplex(); - double delta, eps, err, fwderr, maxfwderr, maxrelerr, relerr, rmax; - int i, ifail, itmax, j, k, n = 0, polish; - - NAGComplex[] z = null, zact = null; - double[] a = null, berr = null, cond = null; - int[] conv = null; - boolean[] matched = null; - - System.out.println("\n Polishing Processes\n"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading and previous example in data file - for (i = 0; i <= 12; i++) { - reader.readLine(); - } - - // Read polynomial degree and allocate - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - - a = new double[n + 1]; - berr = new double[n]; - cond = new double[n]; - conv = new int[n]; - matched = new boolean[n]; - z = NAGComplex.createArray(n); - zact = NAGComplex.createArray(n); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Set known roots - for (i = 0; i < n; i++) { - zact[i] = new NAGComplex((double) (i + 1), 0.0); - } - - // Multiply out (z-1)(z-2)...(z-n) for coefficients - for (i = 0; i < n; i++) { - a[i] = 0.0; - } - a[n] = 1.0; - for (i = 0; i < n; i++) { - for (j = 0; j < n; j++) { - a[j] = a[j + 1] - a[j] * zact[i].getRe(); - } - a[n] = -a[n] * zact[i].getRe(); - } - - System.out.println(" polish relerr fwderr"); - System.out.println(" ----------------------------"); - - // Use different polish modes - X02AJ x02aj = new X02AJ(); - X02AL x02al = new X02AL(); - for (polish = 0; polish <= 2; polish++) { - - itmax = 30; - eps = x02aj.eval(); - rmax = x02al.eval(); - - // Find roots - ifail = 0; - C02AB c02ab = new C02AB(); - c02ab.eval(a, n , itmax, polish, z, berr, cond, conv, ifail); - - // Calculate the maximum relative errors of the roots, and the maximum - // forward error evaluating the polynomial at those roots. Errors are - // capped at machine precision. - maxrelerr = eps; - maxfwderr = eps; - Arrays.fill(matched, false); - - for (i = 0; i < n; i++) { - // Evaluate polynomial at this root - pz = new NAGComplex(a[0], 0.0); - for (j = 1; j <= n; j++) { - pz = z[i].multiply(pz).add(new NAGComplex(a[j], 0.0)); - } - - // Match to an expected root - k = 0; - err = rmax; - for (j = 0; j < n; j++) { - if (!matched[j]) { - delta = z[i].subtract(zact[j]).abs(); - if (delta <= err) { - err = delta; - k = j; - } - } - } - - // Mark as matched and update max errors - matched[k] = true; - relerr = err/zact[k].abs(); - fwderr = pz.abs(); - maxrelerr = Math.max(maxrelerr, relerr); - maxfwderr = Math.max(maxfwderr, fwderr); - } - - // Print output - System.out.printf(" %2d %10.2E%10.2E\n", polish, maxrelerr, maxfwderr); - - } - } -} diff --git a/simple_examples/int32/C02AFJE.java b/simple_examples/int32/C02AFJE.java deleted file mode 100644 index 6043be7..0000000 --- a/simple_examples/int32/C02AFJE.java +++ /dev/null @@ -1,271 +0,0 @@ -import com.nag.routines.C02.C02AF; -import com.nag.routines.A02.A02AB; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X02.X02AL; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.util.Arrays; - -/** - * C02AF - */ -public class C02AFJE { - - public static final boolean scal = true; - - public static void main(String[] args) { - - System.out.println(" C02AFJ Example Program Results"); - - ex1(args); - - ex2(args); - } - - public static void ex1(String[] args) { - - int i, ifail, n = 0; - - double[][] a = null, z = null; - double[] w = null; - - System.out.println("\n\n Example 1"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading in data file - reader.readLine(); - reader.readLine(); - reader.readLine(); - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - - a = new double[2][n + 1]; - w = new double[4 * (n + 1)]; - z = new double[2][n]; - - for (i = 0; i <= n; i++) { - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - a[0][i] = Double.parseDouble(sVal[0]); - a[1][i] = Double.parseDouble(sVal[1]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = 0; - C02AF c02af = new C02AF(); - double[] a1d = convert2DTo1D(a); - double[] z1d = convert2DTo1D(z); - c02af.eval(a1d, n, scal, z1d, w, ifail); - - z = convert1DTo2D(z1d, 2); - - System.out.println(); - System.out.printf(" Degree of polynomial = %4d\n", n); - System.out.println(); - System.out.println(" Computed roots of polynomial"); - System.out.println(); - - for (i = 0; i < n; i++) { - System.out.printf(" z = %12.4E%+12.4E*i\n", z[0][i], z[1][i]); - } - - } - - public static void ex2(String[] args) { - - double deltac, deltai, di, eps, epsbar, f, r1, r2, r3, rmax; - int i, ifail, j, jmin = 0, n = 0; - - double[][] a = null, abar = null, z = null, zbar = null; - double[] r = null, w = null; - int[] m = null; - - System.out.println("\n\n Example 2"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading and previous example in data file - for (i = 0; i < 12; i++) { - reader.readLine(); - } - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - a = new double[2][n + 1]; - abar = new double[2][n + 1]; - r = new double[n]; - w = new double[4 * (n + 1)]; - z = new double[2][n]; - zbar = new double[2][n]; - m = new int[n]; - - // Read in the coefficients of the original polynomial. - for (i = 0; i <= n; i++) { - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - a[0][i] = Double.parseDouble(sVal[0]); - a[1][i] = Double.parseDouble(sVal[1]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Compute the roots of the original polynomial. - ifail = 0; - C02AF c02af = new C02AF(); - double[] a1d = convert2DTo1D(a); - double[] z1d = convert2DTo1D(z); - c02af.eval(a1d, n, scal, z1d, w, ifail); - - z = convert1DTo2D(z1d, 2); - - // Form the coefficients of the perturbed polynomial. - X02AJ x02aj = new X02AJ(); - eps = x02aj.eval(); - epsbar = 3.0 * eps; - - for (i = 0; i <= n; i++) { - if (a[0][i] != 0.0E0) { - f = 1.0E0 + epsbar; - epsbar = -epsbar; - abar[0][i] = f * a[0][i]; - - if (a[1][i] != 0.0E0) { - abar[1][i] = f * a[1][i]; - } else { - abar[1][i] = 0.0E0; - } - - } else { - - if (a[1][i] != 0.0E0) { - f = 1.0E0 + epsbar; - epsbar = -epsbar; - abar[1][i] = f * a[1][i]; - } else { - abar[1][i] = 0.0E0; - } - } - } - - // Compute the roots of the perturbed polynomial. - ifail = 0; - double[] abar1d = convert2DTo1D(abar); - double[] zbar1d = convert2DTo1D(zbar); - c02af.eval(abar1d, n, scal, zbar1d, w, ifail); - - zbar = convert1DTo2D(zbar1d, 2); - - // Perform error analysis. - - // Initialize markers to 0 (unmarked). - Arrays.fill(m, 0); - X02AL x02al = new X02AL(); - rmax = x02al.eval(); - - // Loop over all unperturbed roots (stored in Z). - A02AB a02ab = new A02AB(); - for (i = 0; i < n; i++) { - deltai = rmax; - r1 = a02ab.eval(z[0][i], z[1][i]); - - // Loop over all perturbed roots (stored in ZBAR). - for (j = 0; j < n; j++) { - // Compare the current unperturbed root to all unmarked - // perturbed roots. - - if (m[j] == 0) { - r2 = a02ab.eval(zbar[0][j], zbar[1][j]); - deltac = Math.abs(r1 - r2); - - if (deltac < deltai) { - deltai = deltac; - jmin = j; - } - } - } - - // Mark the selected perturbed root. - m[jmin] = 1; - - // Compute the relative error. - if (r1 != 0.0E0) { - r3 = a02ab.eval(zbar[0][jmin], zbar[1][jmin]); - di = Math.min(r1, r3); - r[i] = Math.max(deltai / Math.max(di, deltai / rmax), eps); - } else { - r[i] = 0.0E0; - } - } - - System.out.println(); - System.out.printf(" Degree of polynomial = %4d\n", n); - System.out.println(); - System.out.println(" Computed roots of polynomial Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < n; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", z[0][i], z[1][i], r[i]); - } - - } - - public static double[] convert2DTo1D(double[][] a) { - double[] b = new double[a.length * a[0].length]; - int n = a.length; - - for (int i = 0; i < a.length; i++) { - for (int j = 0; j < a[0].length; j++) { - b[i + j*n] = a[i][j]; - } - } - - return b; - } - - public static double[][] convert1DTo2D(double[] a, int n) { - double[][] b = new double[n][a.length / n]; - - for (int i = 0; i < b.length; i++) { - for (int j = 0; j < b[0].length; j++) { - b[i][j] = a[i + j*n]; - } - } - - return b; - } -} diff --git a/simple_examples/int32/C02AGJE.java b/simple_examples/int32/C02AGJE.java deleted file mode 100644 index c58e524..0000000 --- a/simple_examples/int32/C02AGJE.java +++ /dev/null @@ -1,262 +0,0 @@ -import com.nag.routines.C02.C02AG; -import com.nag.routines.A02.A02AB; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X02.X02AL; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.util.Arrays; - -/** - * C02AG - */ -public class C02AGJE { - - public static final boolean scal = true; - - public static void main(String[] args) { - - System.out.println(" C02AGJ Example Program Results"); - - ex1(args); - - ex2(args); - } - - public static void ex1(String[] args) { - double zi, zr; - int i, ifail, n = 0, nroot; - - double[] a = null, w = null; - double[][] z = null; - - System.out.println("\n\n Example 1\n"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading in data file - reader.readLine(); - reader.readLine(); - reader.readLine(); - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - a = new double[n + 1]; - w = new double[2 * (n + 1)]; - z = new double[2][n]; - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i <= n; i++) { - a[i] = Double.parseDouble(sVal[i]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - System.out.println(); - System.out.printf(" Degree of polynomial = %4d\n", n); - System.out.println(); - - ifail = 0; - C02AG c02ag = new C02AG(); - double[] z1d = convert2DTo1D(z); - c02ag.eval(a, n, scal, z1d, w, ifail); - - z = convert1DTo2D(z1d, 2); - - System.out.println(" Computed roots of polynomial"); - System.out.println(); - - nroot = 0; - - while (nroot < n) { - zr = z[0][nroot]; - zi = z[1][nroot]; - if (zi == 0.0E0) { - System.out.printf(" z = %12.4E\n", zr); - nroot += 1; - } else { - System.out.printf(" z = %12.4E +/- %12.4E*i\n", zr, Math.abs(zi)); - nroot += 2; - } - } - } - - public static void ex2(String[] args) { - - double deltac, deltai, di, eps, epsbar, f, r1, r2, r3, rmax; - int i, ifail, j, jmin = 0, n = 0; - - double[] a = null, abar = null, r = null, w = null; - double[][] z = null, zbar = null; - int[] m = null; - - System.out.println("\n\n Example 2"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading and previous example in data file - for (i = 0; i < 7; i++) { - reader.readLine(); - } - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - - a = new double[n+1]; - abar = new double[n+1]; - r = new double[n]; - w = new double[2 * (n+1)]; - z = new double[2][n]; - zbar = new double[2][n]; - m = new int[n]; - - // Read in the coefficients of the original polynomial. - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i <= n; i++) { - a[i] = Double.parseDouble(sVal[i]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Compute the roots of the original polynomial. - ifail = 0; - C02AG c02ag = new C02AG(); - double[] z1d = convert2DTo1D(z); - c02ag.eval(a, n, scal, z1d ,w, ifail); - - z = convert1DTo2D(z1d, 2); - - // Form the coefficients of the perturbed polynomial. - X02AJ x02aj = new X02AJ(); - eps = x02aj.eval(); - epsbar= 3.0 * eps; - - for (i = 0; i <= n; i++) { - if (a[i] != 0.0) { - f = 1.0 + epsbar; - epsbar = -epsbar; - abar[i] = f * a[i]; - } else { - abar[i] = 0.0E0; - } - } - - // Compute the roots of the perturbed polynomial. - ifail = 0; - double[] zbar1d = convert2DTo1D(zbar); - c02ag.eval(abar, n, scal, zbar1d, w, ifail); - - zbar = convert1DTo2D(zbar1d, 2); - - // Perform error analysis. - - // Initialize markers to 0 (unmarked). - Arrays.fill(m, 0); - - X02AL x02al = new X02AL(); - rmax = x02al.eval(); - - // Loop over all unperturbed roots (stored in Z). - A02AB a02ab = new A02AB(); - for (i = 0; i < n; i++) { - deltai = rmax; - r1 = a02ab.eval(z[0][i], z[1][i]); - - // Loop over all perturbed roots (stored in ZBAR). - for (j = 0; j < n; j++) { - // Compare the current unperturbed root to all unmarked - // perturbed roots. - - if (m[j] == 0) { - r2 = a02ab.eval(zbar[0][i], zbar[1][i]); - deltac = Math.abs(r1-r2); - - if (deltac < deltai) { - deltai = deltac; - jmin = j; - } - } - } - - // Mark the selected perturbed root. - m[jmin] = 1; - - // Compute the relative error. - if (r1 != 0.0E0) { - r3 = a02ab.eval(zbar[0][jmin], zbar[1][jmin]); - di = Math.min(r1, r3); - r[i] = Math.max(deltai / Math.max(di, deltai / rmax), eps); - } else { - r[i] = 0.0; - } - } - - System.out.println(); - System.out.printf(" Degree of polynomial = %4d\n", n); - System.out.println(); - System.out.println(" Computed roots of polynomial Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < n; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", z[0][i], z[1][i], r[i]); - } - } - - public static double[] convert2DTo1D(double[][] a) { - double[] b = new double[a.length * a[0].length]; - int n = a.length; - - for (int i = 0; i < a.length; i++) { - for (int j = 0; j < a[0].length; j++) { - b[i + j * n] = a[i][j]; - } - } - - return b; - } - - public static double[][] convert1DTo2D(double[] a, int n) { - double[][] b = new double[n][a.length / n]; - - for (int i = 0; i < b.length; i++) { - for (int j = 0; j < b[0].length; j++) { - b[i][j] = a[i + j * n]; - } - } - - return b; - } -} diff --git a/simple_examples/int32/C02AHJE.java b/simple_examples/int32/C02AHJE.java deleted file mode 100644 index b1e12cd..0000000 --- a/simple_examples/int32/C02AHJE.java +++ /dev/null @@ -1,61 +0,0 @@ -import com.nag.routines.C02.C02AH; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AH - */ -public class C02AHJE { - - public static void main(String[] args) { - - double ai = 0, ar = 0, bi = 0, br = 0, ci = 0, cr = 0; - int ifail; - - double[] zlg = new double[2]; - double[] zsm = new double[2]; - - System.out.println(" C02AHJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - ar = Double.parseDouble(sVal[0]); - ai = Double.parseDouble(sVal[1]); - br = Double.parseDouble(sVal[2]); - bi = Double.parseDouble(sVal[3]); - cr = Double.parseDouble(sVal[4]); - ci = Double.parseDouble(sVal[5]); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = -1; - C02AH c02ah = new C02AH(); - c02ah.eval(ar, ai, br, bi, cr, ci, zsm, zlg, ifail); - ifail = c02ah.getIFAIL(); - - if (ifail == 0) { - System.out.println("\n Roots of quadratic equation\n"); - System.out.printf(" z = %12.4E%+14.4E*i\n", zsm[0], zsm[1]); - System.out.printf(" z = %12.4E%+14.4E*i\n", zlg[0], zlg[1]); - } - } -} diff --git a/simple_examples/int32/C02AJJE.java b/simple_examples/int32/C02AJJE.java deleted file mode 100644 index 64e3a5e..0000000 --- a/simple_examples/int32/C02AJJE.java +++ /dev/null @@ -1,65 +0,0 @@ -import com.nag.routines.C02.C02AJ; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AJ - */ -public class C02AJJE { - - public static void main(String[] args) { - - double a = 0, b = 0, c = 0; - int ifail; - - double[] zlg = new double[2]; - double[] zsm = new double[2]; - - System.out.println(" C02AJJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - a = Double.parseDouble(sVal[0]); - b = Double.parseDouble(sVal[1]); - c = Double.parseDouble(sVal[2]); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = -1; - C02AJ c02aj = new C02AJ(); - c02aj.eval(a, b, c, zsm, zlg, ifail); - ifail = c02aj.getIFAIL(); - - if (ifail == 0) { - System.out.println("\n Roots of quadratic equation\n"); - - if (zsm[1] == 0.0E0) { - // 2 real roots. - System.out.printf(" z = %12.4E\n", zsm[0]); - System.out.printf(" z = %12.4E\n", zlg[0]); - } else { - // 2 complex roots. - System.out.printf(" z = %12.4E +/- %12.4E*i", zsm[0], Math.abs(zsm[1])); - } - } - } -} diff --git a/simple_examples/int32/C02AKJE.java b/simple_examples/int32/C02AKJE.java deleted file mode 100644 index 4a0579f..0000000 --- a/simple_examples/int32/C02AKJE.java +++ /dev/null @@ -1,62 +0,0 @@ -import com.nag.routines.C02.C02AK; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AK - */ -public class C02AKJE { - - public static void main(String[] args) { - - double r = 0, s = 0, t = 0, u = 0; - int i, ifail; - - double[] errest = new double[3]; - double[] zeroi = new double[3]; - double[] zeror = new double[3]; - - System.out.println(" C02AKJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - u = Double.parseDouble(sVal[0]); - r = Double.parseDouble(sVal[1]); - s = Double.parseDouble(sVal[2]); - t = Double.parseDouble(sVal[3]); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = 0; - C02AK c02ak = new C02AK(); - c02ak.eval(u, r, s, t, zeror, zeroi, errest, ifail); - - System.out.println(); - System.out.println(" Roots of cubic equation Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < 3; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); - } - } -} diff --git a/simple_examples/int32/C02ALJE.java b/simple_examples/int32/C02ALJE.java deleted file mode 100644 index 4f9eac9..0000000 --- a/simple_examples/int32/C02ALJE.java +++ /dev/null @@ -1,64 +0,0 @@ -import com.nag.routines.C02.C02AL; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AL - */ -public class C02ALJE { - - public static void main(String[] args) { - - double a = 0, b = 0, c = 0, d = 0, e = 0; - int i, ifail; - - double[] errest = new double[4]; - double[] zeroi = new double[4]; - double[] zeror = new double[4]; - - System.out.println(" C02ALJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - e = Double.parseDouble(sVal[0]); - a = Double.parseDouble(sVal[1]); - b = Double.parseDouble(sVal[2]); - c = Double.parseDouble(sVal[3]); - d = Double.parseDouble(sVal[4]); - - } catch (FileNotFoundException e_exception) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e_exception) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e_exception.getMessage()); - } - - ifail = 0; - C02AL c02al = new C02AL(); - c02al.eval(e, a, b, c, d, zeror, zeroi, errest, ifail); - ifail = c02al.getIFAIL(); - - System.out.println(); - System.out.println(" Roots of quartic equation Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < 4; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); - } - } -} diff --git a/simple_examples/int32/C02AMJE.java b/simple_examples/int32/C02AMJE.java deleted file mode 100644 index f1fffa4..0000000 --- a/simple_examples/int32/C02AMJE.java +++ /dev/null @@ -1,75 +0,0 @@ -import com.nag.routines.C02.C02AM; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AM - */ -public class C02AMJE { - - public static void main(String[] args) { - - Routine.setComplex(new NAGComplex()); - - NAGComplex r = null, s = null, t = null, u = null; - int i, ifail; - - double[] errest = new double[3]; - double[] zeroi = new double[3]; - double[] zeror = new double[3]; - - System.out.println(" C02AMJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine().replaceAll("[(),]", ""); - String[] sVal = line.trim().split("\\s+"); - u = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - r = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - s = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - t = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = 0; - C02AM c02am = new C02AM(); - c02am.eval(u, r, s, t, zeror, zeroi, errest, ifail); - - System.out.println(); - System.out.println(" Roots of cubic equation Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < 3; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); - } - } -} diff --git a/simple_examples/int32/C02ANJE.java b/simple_examples/int32/C02ANJE.java deleted file mode 100644 index dc865e2..0000000 --- a/simple_examples/int32/C02ANJE.java +++ /dev/null @@ -1,80 +0,0 @@ -import com.nag.routines.C02.C02AN; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AN - */ -public class C02ANJE { - - public static void main(String[] args) { - - Routine.setComplex(new NAGComplex()); - - NAGComplex a = null, b = null, c = null, d = null, e = null; - int i, ifail; - - double[] errest = new double[4]; - double[] zeroi = new double[4]; - double[] zeror = new double[4]; - - System.out.println(" C02ANJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine().replaceAll("[(),]", ""); - String[] sVal = line.trim().split("\\s+"); - e = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - a = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - b = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - c = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - d = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - } catch (FileNotFoundException e_exception) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e_exception) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e_exception.getMessage()); - } - - ifail = 0; - C02AN c02an = new C02AN(); - c02an.eval(e, a, b, c, d, zeror, zeroi, errest, ifail); - ifail = c02an.getIFAIL(); - - System.out.println(); - System.out.println(" Roots of quartic equation Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < 4; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); - } - } -} diff --git a/simple_examples/int32/C05AUJE.java b/simple_examples/int32/C05AUJE.java deleted file mode 100644 index d2b09b1..0000000 --- a/simple_examples/int32/C05AUJE.java +++ /dev/null @@ -1,67 +0,0 @@ -import com.nag.routines.C05.C05AU; - -/** - * C05AUJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class C05AUJE{ - - /** - * C05AUJ main program - */ - public static void main(String[] args){ - double a = 0, b = 0, eps, eta, h, x; //placeholders - int ifail; - double[] ruser; - int[] iuser; - - ruser = new double[1]; //need to initialise before passing to wrapper - iuser = new int[1]; - - System.out.println("C05AUJ Example Program Results"); - - x = 1; - h = 0.1; - eps = 0.00001; - eta = 0; - - //Instance of class f to pass to wrapper - f f1 = new f(); - - ifail = -1; - C05AU c05au = new C05AU(x, h, eps, eta, f1, a, b, iuser, ruser, ifail); - c05au.eval(); - - //update values - x = c05au.getX(); - a = c05au.getA(); - b = c05au.getB(); - ifail = c05au.getIFAIL(); - - System.out.println(); - - switch(ifail){ - case 0: - System.out.printf("Root is : \t%.5f\n", x); - System.out.printf("Interval searched is : \t[ %.5f, %.5f]\n", a, b); - break; - case 3: - case 4: - System.out.printf("Final value = %.5f\n", x); - break; - } - } - - /** - * Extends abstract class C05AU.Abstract_C05AU_F. eval() returns the value of the function at a given x. - * eval() must be implemented by the user. - * @return x - e^x - */ - public static class f extends C05AU.Abstract_C05AU_F{ - public double eval(){ - return(this.X - Math.exp(-this.X)); - } - } -} - diff --git a/simple_examples/int32/C05AWJE.java b/simple_examples/int32/C05AWJE.java deleted file mode 100644 index 6ea3c9f..0000000 --- a/simple_examples/int32/C05AWJE.java +++ /dev/null @@ -1,59 +0,0 @@ -import com.nag.routines.C05.C05AW; - -public class C05AWJE{ - - public static void main(String[] args){ - double eps, eta, x; - int ifail, nfmax; - double[] ruser; - int[] iuser; - - ruser = new double[1]; - iuser = new int[1]; - - System.out.println("C05AWJ Example Program Results"); - System.out.println(); - - boolean finished = false; - for(int i = 3; i <= 4; i++){ - eps = Math.pow(10, -i); - x = 1; - eta = 0; - nfmax = 200; - - ifail = -1; - f f1 = new f(); - C05AW c05aw = new C05AW(x, eps, eta, f1, nfmax, iuser, ruser, ifail); - c05aw.eval(); - - ifail = c05aw.getIFAIL(); - x = c05aw.getX(); - eps = c05aw.getEPS(); - - switch(ifail){ - case(0): - System.out.printf("With eps = %.2e root = %.5f\n", eps, x); - break; - case(-1): - //exit loop - finished = true; - break; - case(3): - case(4): - System.out.printf("With eps = %.2e root = %.5f\n", eps, x); - break; - } - if(finished){ - break; - } - } - } - - public static class f extends C05AW.Abstract_C05AW_F{ - public double eval(){ - return(Math.exp(-X) - X); - } - } -} - - diff --git a/simple_examples/int32/C05AYJE.java b/simple_examples/int32/C05AYJE.java deleted file mode 100644 index c9ee43b..0000000 --- a/simple_examples/int32/C05AYJE.java +++ /dev/null @@ -1,44 +0,0 @@ -import com.nag.routines.C05.C05AY; - -/** - * C05AY example program text. - */ -public class C05AYJE { - - public static void main(String[] args) { - - C05AY c05ay = new C05AY(); - OBJFUN f = new OBJFUN(); - double a = 0.0, b = 1.0, eps = 1.0e-5, eta = 0.0, x = 0.0; - int ifail = 0; - int[] iuser = new int[1]; - double[] ruser = new double[1]; - - System.out.println("C05AYJ Example Program Results"); - System.out.println(); - - c05ay.eval(a, b, eps, eta, f, x, iuser, ruser, ifail); - x = c05ay.getX(); - - switch (ifail) { - case 0: - System.out.printf("Zero at x = %12.5f\n", x); - break; - case 2: case 3: - System.out.printf("Final point = %12.5f\n", x); - break; - default: - System.out.println("Unexpected ifail = " + ifail); - } - - } - - private static class OBJFUN extends C05AY.Abstract_C05AY_F { - - public double eval() { - return Math.exp(-X) - X; - } - - } - -} diff --git a/simple_examples/int32/C05AZJE.java b/simple_examples/int32/C05AZJE.java deleted file mode 100644 index 7c3e27e..0000000 --- a/simple_examples/int32/C05AZJE.java +++ /dev/null @@ -1,65 +0,0 @@ -import com.nag.routines.C05.C05AZ; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * C05AZ example program text. - */ -public class C05AZJE { - - public static void main(String[] args) { - double tolx = 0.00001, x = 0.0, y = 1.0, fx; - int ir = 0, ind = 1, ifail = -1; - double[] c = new double[17]; - boolean keepOn = true; - - - C05AZ c05az = new C05AZ(); - fx = fun(x); - int ite = 0; - - System.out.println(" C05AZJ Example Program Results\n"); - System.out.println(" Iterations\n"); - - while (keepOn) { - ++ite; - - c05az.eval(x,y,fx,tolx,ir,c,ind,ifail); - - x = c05az.getX(); - y = c05az.getY(); - tolx = c05az.getTOLX(); - ir = c05az.getIR(); - ind = c05az.getIND(); - ifail = c05az.getIFAIL(); - if (ind == 0) { - keepOn = false; - } - else { - fx = fun(x); - System.out.printf(" X = %7.5f FX = %11.4E IND = %1d\n", x, fx, ind); - } - - } - - switch (ifail) { - case 0: - System.out.println("\n Solution\n"); - System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); - break; - case 4: - case 5: - System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); - break; - default: - System.out.printf("Unexpected error ifail=%d\n",ifail); - } - - } - - private static double fun(double x) { - double res = (Math.expm1(-x) + 1) - x; - return res; - } - -} diff --git a/simple_examples/int32/C05BBJE.java b/simple_examples/int32/C05BBJE.java deleted file mode 100644 index 4723773..0000000 --- a/simple_examples/int32/C05BBJE.java +++ /dev/null @@ -1,89 +0,0 @@ -import com.nag.routines.C05.C05BB; -import com.nag.types.NAGComplex; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C05BBJ Example program text. - * @author willa - * @since 27.1.0.0 - */ -public class C05BBJE{ - - /** - * C05BBJE main program text - */ - public static void main(String[] args){ - NAGComplex w, z; - double resid = 0; - int branch = 0, ifail = 0; //placeholder - boolean offset = false; //placeholder - - //need to initialise first - z = new NAGComplex(); - w = new NAGComplex(); - - System.out.println("C05BBJ Example Program Results"); - - if(args.length != 1){ - System.out.println("Please specify path to data file as input"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - branch = Integer.parseInt(sVal[0]); - - line = reader.readLine(); - sVal = line.split("\\s+"); - offset = Boolean.parseBoolean(sVal[0]); - - System.out.printf("Branch = %d\n", branch); - System.out.printf("Offset = %b\n", offset); - - System.out.println(); - System.out.printf("\t\tZ\t\t\tW(Z)\t\t\t\tRESID\tIFAIL\n"); - System.out.println(); - - while(true){ - line = reader.readLine(); - if(line == null){ - break; - } - sVal = line.split("\\s+"); - - z.setRe(Double.parseDouble(sVal[0])); - z.setIm(Double.parseDouble(sVal[1])); - - ifail = -1; - C05BB c05bb = new C05BB(branch, offset, z, w, resid, ifail); - c05bb.eval(); - - z = (NAGComplex) c05bb.getZ(); - w = (NAGComplex) c05bb.getW(); - resid = c05bb.getRESID(); - ifail = c05bb.getIFAIL(); - - if(ifail < 0){ - break; - } - - System.out.printf("(%.5e, %.5e)\t (%.5e, %.5e)\t %.5e\t %d\n", z.getRe(), z.getIm(), w.getRe(), w.getIm(), resid, ifail); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} diff --git a/simple_examples/int32/C05MBJE.java b/simple_examples/int32/C05MBJE.java deleted file mode 100644 index 9b46ff5..0000000 --- a/simple_examples/int32/C05MBJE.java +++ /dev/null @@ -1,95 +0,0 @@ -import com.nag.routines.C05.C05MB; -import com.nag.routines.F06.DNRM2; -import com.nag.routines.X02.X02AJ; - -/** - * C05MBJ example program text. - * - * @author joed - * @since 27.0.0.0 - * - */ -public class C05MBJE { - - private static final int n = 4; - - private static class FCN extends C05MB.Abstract_C05MB_FCN { - - public void eval() { - - FVEC[0] = Math.cos(X[2]) - X[0]; - FVEC[1] = Math.sqrt(1.0 - Math.pow(X[3],2)) - X[1]; - FVEC[2] = Math.sin(X[0]) - X[2]; - FVEC[3] = Math.pow(X[1], 2) - X[3]; - - // Set iflag negative to terminate execution for any reason - IFLAG = 0; - - return; - - } - - } - - /** - * C05MBJ example main program. - */ - public static void main(String[] args) { - - C05MB c05mb = new C05MB(); - DNRM2 dnrm2 = new DNRM2(); - X02AJ x02aj = new X02AJ(); - FCN fcn = new FCN(); - long cpuser; - double atol, cndtol, fnorm, machpr, rtol; - int astart, i, ifail, m; - double[] fvec, x; - double[] ruser = new double[1]; - int[] iuser = new int[1]; - - System.out.println("C05MBJ Example Program Results\n"); - - // Get machine precision from X02AJ - machpr = (new X02AJ()).eval(); - - fvec = new double[n]; - x = new double[n]; - - // The following starting values provide a rough solution - x = new double[]{2.0, 0.5, 2.0, 0.5}; - - m = 2; - atol = Math.sqrt(machpr); - rtol = Math.sqrt(machpr); - cndtol = 0.0; - astart = 0; - cpuser = 0; - - ifail = -1; - c05mb.eval(fcn, n, x, fvec, atol, rtol, m, cndtol, astart, iuser, ruser, - cpuser, ifail); - ifail = c05mb.getIFAIL(); - - if (ifail == 0 || ifail == 8 || ifail == 9) { - if (ifail == 0) { - // The NAG name equivalent of dnrm2 is f06ej - fnorm = dnrm2.eval(n, fvec, 1); - System.out.println(); - System.out.printf("Final 2-norm of the residuals = %12.4e\n", fnorm); - System.out.println(); - System.out.println("Final approximate solution"); - } - else { - System.out.println(); - System.out.println("Approximate solution"); - } - System.out.println(); - for (i = 1; i <= n; i++) { - System.out.printf("%12.4f", x[i-1]); - } - System.out.printf("\n"); - } - - } - -} diff --git a/simple_examples/int32/C05QBJE.java b/simple_examples/int32/C05QBJE.java deleted file mode 100644 index 4b93405..0000000 --- a/simple_examples/int32/C05QBJE.java +++ /dev/null @@ -1,167 +0,0 @@ -import com.nag.routines.C05.C05QB; -import com.nag.routines.F06.DNRM2; -import com.nag.routines.X02.X02AJ; - -/** - * C05QB example program text. - * @author ludovic - */ -public class C05QBJE { - - public static void main(String[] args) { - - C05QB c05qb = new C05QB(); - - System.out.println(" C05QBJ Example Program Results"); - - int n = 9, ifail = -1; - - double xtol, fnorm; - - int[] IUSER = new int[1]; - double[] fvec = new double[n]; - double[] x = new double[n]; - double[] RUSER = new double[1]; - - - FCN fcn = new FCN(); - - for (int i = 0; i < n; ++i) { - x[i] = -1.0; - } - xtol = Math.sqrt((new X02AJ()).eval()); - - c05qb.eval(fcn, n, x, fvec, xtol, IUSER, RUSER, ifail); - - ifail = c05qb.getIFAIL(); - - switch (ifail) { - case (0): - fnorm = (new DNRM2(n, fvec, 1)).eval(); - System.out.println(); - System.out.printf(" Final 2-norm of the residuals = %11.4E\n", fnorm); - System.out.println(); - System.out.println(" Final approximate solution"); - int count = 0; - for (int i = 0; i < n; ++i) { - System.out.printf(" %12.4f", x[i]); - ++count; - if (count == 3) { - System.out.println(); - count = 0; - } - } - break; - case (2): - case (3): - case (4): - System.out.println("Approximate solution"); - count = 0; - for (int i = 0; i < n; ++i) { - System.out.printf(" %12.4f", x[i]); - ++count; - if (count == 3) { - System.out.println(); - count = 0; - } - } - break; - } - - } - - public static class FCN implements C05QB.C05QB_FCN { - - private int N, IFLAG; - private double[] X, FVEC, RUSER; - private int[] IUSER; - - @Override - public void setN(int N) { - this.N = N; - } - - @Override - public int getN() { - return N; - } - - @Override - public void setX(double[] X) { - this.X = X; - } - - @Override - public double[] getX() { - return X; - } - - @Override - public void setFVEC(double[] FVEC) { - this.FVEC = FVEC; - } - - @Override - public double[] getFVEC() { - return FVEC; - } - - @Override - public void setIUSER(int[] IUSER) { - this.IUSER = IUSER; - } - - @Override - public int[] getIUSER() { - return IUSER; - } - - @Override - public void setRUSER(double[] RUSER) { - this.RUSER = RUSER; - } - - @Override - public double[] getRUSER() { - return RUSER; - } - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void eval(int N, double[] X, double[] FVEC, int[] IUSER, double[] RUSER, int IFLAG) { - - /* - * fvec(1:n) = (3.0_nag_wp-2.0_nag_wp*x(1:n))*x(1:n) + 1.0_nag_wp - * fvec(2:n) = fvec(2:n) - x(1:(n-1)) - * fvec(1:(n-1)) = fvec(1:(n-1)) - 2.0_nag_wp*x(2:n) - */ - for (int i = 0; i < N; ++i) { - FVEC[i] = (3.0 - 2.0 * X[i]) * X[i] + 1.0; - /*if (i >= 1) { - FVEC[i] = FVEC[i] - X[i - 1]; - } - if (i < N - 1) { - FVEC[i] = FVEC[i] - 2.0 * X[i + 1]; - }*/ - } - for (int i = 1; i < N; ++i) { - FVEC[i] = FVEC[i] - X[i - 1]; - } - for (int i = 0; i < N-1; ++i) { - FVEC[i] = FVEC[i] - 2.0 * X[i + 1]; - } - - } - - } - -} diff --git a/simple_examples/int32/C06BAJE.java b/simple_examples/int32/C06BAJE.java deleted file mode 100644 index 541d4d3..0000000 --- a/simple_examples/int32/C06BAJE.java +++ /dev/null @@ -1,56 +0,0 @@ -import com.nag.routines.C06.C06BA; -import com.nag.routines.X01.X01AA; - -/** - * C06BAJ example program text. - * @author willa - */ -public class C06BAJE{ - - public static void main(String[] args){ - int lwork = 16, nout = 6; - int ifail, ncall; - double abserr = 0.0, ans, error, pi = 0.0, r, result = 0.0, seqn, sig; - double[] work; - - C06BA c06ba = new C06BA(); - work = new double[lwork]; - - System.out.println("C06BAJ Example Program Results"); - System.out.println(); - - X01AA x01aa = new X01AA(pi); - pi = x01aa.eval(); - - ans = Math.pow(pi, 2)/12.0; - ncall = 0; - sig = 1.0; - seqn = 0.0; - System.out.println("\t\t\t Estimated\t Actual"); - System.out.println("I\t SEQN \t RESULT\t abs error\t error"); - System.out.println(); - - for(int i = 0; i < 10; i++){ - r = (double) i + 1; - seqn = seqn + sig/Math.pow(r, 2); - - ifail = 0; - c06ba.eval(seqn, ncall, result, abserr, work, lwork, ifail); - - //update variables - ncall = c06ba.getNCALL(); - result = c06ba.getRESULT(); - abserr = c06ba.getABSERR(); - - error = result - ans; - sig = -sig; - - if(i <= 2){ - System.out.printf("%d\t %.4f\t %.4f\t -\t\t %.2e\n", (i + 1), seqn, result, error); - } - else{ - System.out.printf("%d\t %.4f\t %.4f\t %.2e\t %.2e\n", (i + 1), seqn, result, abserr, error); - } - } - } -} diff --git a/simple_examples/int32/C06FKJE.java b/simple_examples/int32/C06FKJE.java deleted file mode 100644 index 58db62f..0000000 --- a/simple_examples/int32/C06FKJE.java +++ /dev/null @@ -1,91 +0,0 @@ -import com.nag.routines.C06.C06FK; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C06FKJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class C06FKJE{ - - /** - * C06FKJE main program - */ - public static void main(String[] args){ - int ifail = 0, n = 0; //placeholder - double[] work, xa, xb, ya, yb; - - work = new double[0]; - xa = new double[0]; - xb = new double[0]; - ya = new double[0]; - yb = new double[0]; //placeholders - - System.out.println("C06FKJ Example Program Results"); - System.out.println(); - - //Supply file path as argument - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //Loop until break... - while(true){ - line = reader.readLine(); - //Break when the end of the file is reached - if(line == null){ - break; - } - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[0]); - - work = new double[n]; - xa = new double[n]; - xb = new double[n]; - ya = new double[n]; - yb = new double[n]; - - for(int i = 0; i < n; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - xa[i] = Double.parseDouble(sVal[0]); - xb[i] = xa[i]; - ya[i] = Double.parseDouble(sVal[1]); - yb[i] = ya[i]; - } - - ifail = 0; - - C06FK c06fk1 = new C06FK(1, xa, ya, n, work, ifail); - c06fk1.eval(); - xa = c06fk1.getX(); - C06FK c06fk2 = new C06FK(2, xb, yb, n, work, ifail); - c06fk2.eval(); - xb = c06fk2.getX(); - - System.out.printf("\tCovolution \tCorrelation\n"); - System.out.println(); - - for(int i = 0; i < n; i++){ - System.out.printf("%d\t%.5f\t\t%.5f\n", i, xa[i], xb[i]); - } - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} diff --git a/simple_examples/int32/C09AAJE.java b/simple_examples/int32/C09AAJE.java deleted file mode 100644 index 48c38b6..0000000 --- a/simple_examples/int32/C09AAJE.java +++ /dev/null @@ -1,158 +0,0 @@ -import com.nag.routines.C09.C09AA; -import com.nag.routines.C09.C09CC; -import com.nag.routines.C09.C09CD; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C09AAJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class C09AAJE{ - - /** - * C09AAJ example main program - */ - public static void main(String[] args){ - int ifail, lenc = 0, n = 0, nf = 0, nnz, nwc = 0, nwlmax = 0, ny; //placeholders - String mode = "", wavnam = "", wtrans; //placeholders - int[] dwtlev, icomm; - double[] c, x, y; - - x = new double[0]; y = new double[0]; //placeholders - - //print error message if no data file given - if(args.length != 1){ - C09AAJE.usage(); - } - - icomm = new int[100]; - - System.out.println("C09AAJ Example Program Results"); - System.out.println(); - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[1]); - - line = reader.readLine(); - sVal = line.split("\\s+"); - wavnam = sVal[1]; - mode = sVal[2]; - - x = new double[n]; - y = new double[n]; - - System.out.printf("Parameters read from file :: \n \tWavelet : %s \tEnd mode : %s \t N = %d\n", wavnam, mode, n); - - System.out.println("Input data \tX : "); - for(int i = 0; i < n; i++){ - line = reader.readLine(); - //Avoid errors with data file format and negative numbers - line = " " + line; - sVal = line.split("\\s+"); - x[i] = Double.parseDouble(sVal[1]); - System.out.printf("%.3f\t", x[i]); - } - System.out.printf("\n"); - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - //Query wavelet filter dimensions - //For Multi-Resolution analysis ,decomposition, wrtrans = 'M' - wtrans = "Multilevel"; - - //ifail: behaviour on error exit - // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft - ifail = 0; - C09AA c09aa = new C09AA(wavnam, wtrans, mode, n, nwlmax, nf, nwc, icomm, ifail); - c09aa.eval(); - - nwc = c09aa.getNWC(); - nwlmax = c09aa.getNWLMAX(); - lenc = nwc; - c = new double[lenc]; - dwtlev = new int[nwlmax + 1]; - - icomm = c09aa.getICOMM(); - ifail = 0; - //Perform discrete wavelet transform - C09CC c09cc = new C09CC(n, x, lenc, c, nwlmax, dwtlev, icomm, ifail); - c09cc.eval(); - - nf = c09aa.getNF(); - nwlmax = c09cc.getNWL(); - dwtlev = c09cc.getDWTLEV(); - c = c09cc.getC(); - - System.out.println(); - System.out.printf("Length of wavelet filter : \t%d\n", nf); - System.out.printf("Number of Levels : \t%d\n", nwlmax); - System.out.printf("Number of coefficients in each level: \n\t\t"); - for(int i = 0; i <= nwlmax; i++){ - System.out.printf("%d\t ", dwtlev[i]); - } - System.out.printf("\n"); - System.out.printf("Total number of wavelength coefficients : %d\n", nwc); - nnz = arraySum(dwtlev); - System.out.println(); - System.out.println("Wavelet coefficients C:"); - for(int i = 0; i < nnz; i++){ - System.out.printf("%.3f ", c[i]); - } - System.out.printf("\n"); - - //Reconstruct original data - ny = n; - - ifail = 0; - lenc = c09cc.getLENC(); - icomm = c09cc.getICOMM(); - C09CD c09cd = new C09CD(nwlmax, lenc, c, ny, y, icomm, ifail); - c09cd.eval(); - - y = c09cd.getY(); - System.out.println(); - System.out.printf("Reconstruction \tY : \n"); - for(int i = 0; i < ny; i++){ - System.out.printf("%.3f ", y[i]); - } - System.out.printf("\n"); - } - - /** - * Finds the sum of all integers in an array - * @param a - * Array to sum - * @return total - */ - private static int arraySum(int[] a){ - int tot = 0; - for(int i = 0; i < a.length; i++){ - tot += a[i]; - } - return tot; - } - - /** - * No arguments supplied when exmaple runs - */ - private static void usage(){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} diff --git a/simple_examples/int32/D01BDJE.java b/simple_examples/int32/D01BDJE.java deleted file mode 100644 index 8659cc4..0000000 --- a/simple_examples/int32/D01BDJE.java +++ /dev/null @@ -1,58 +0,0 @@ -import com.nag.routines.D01.D01BD; - -/** - * D01BD example program text. - */ -public class D01BDJE { - - public static void main(String[] args) { - - double a = 0.0, b = 1.0; - double epsabs = 0.0, epsrel = 0.0001; - double result = Double.NaN; - double abserr = Double.NaN; - FUN fun = new FUN(); - D01BD d01bd = new D01BD(fun, a, b, epsabs, epsrel, result, abserr); - - d01bd.eval(); - result = d01bd.getRESULT(); - abserr = d01bd.getABSERR(); - - System.out.println(" D01BDJ Example Program Results"); - - System.out.println(); - System.out.printf(" A - lower limit of integration = %10.4f\n",a); - System.out.printf(" B - upper limit of integration = %10.4f\n",b); - System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); - System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); - System.out.println(); - System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); - System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); - System.out.println(); - - if (abserr > Math.max(epsabs,epsrel*Math.abs(result))) { - System.out.println("Warning - requested accuracy may not have been achieved"); - } - - } - - - public static class FUN implements D01BD.D01BD_F { - - private double x; - - public double eval(double x) { - return (x * x * Math.sin(10.0 * Math.PI * x)); - } - - public double getX() { - return x; - } - - public void setX(double d) { - x = d; - } - - } - -} diff --git a/simple_examples/int32/D01RJJE.java b/simple_examples/int32/D01RJJE.java deleted file mode 100644 index 9eee98a..0000000 --- a/simple_examples/int32/D01RJJE.java +++ /dev/null @@ -1,184 +0,0 @@ -import com.nag.routines.D01.D01RJ; -import com.nag.routines.X01.X01AA; -import java.util.Arrays; - -/** - * D01RJ example program text. - * @author Mo - */ -public class D01RJJE { - - public static void main(String[] args) { - - double pi = 0.0; - double a, b, epsabs, epsrel; - double result = Double.NaN; - double abserr = Double.NaN; - double[] rinfo, ruser; - int [] iinfo, iuser; - int ifail, liinfo, lrinfo, maxsub; - long cpuser; // c_ptr - F f = new F(); - - /* Header */ - System.out.println(" D01RJJ Example Program Results"); - - X01AA x01aa = new X01AA(pi); - pi = x01aa.eval(); - a = 0.0; - b = 2.0*pi; - epsabs = 0.0; - epsrel = 0.0001; - maxsub = 20; - lrinfo = 4*maxsub; - liinfo = Math.max(maxsub,4); - - rinfo = new double[lrinfo]; - iinfo = new int[liinfo]; - iuser = new int[0]; - ruser = new double[0]; - - iuser = new int[] {0}; - /* pass constant to f through ruser */ - ruser = new double[] {4.0*Math.pow(pi,2)}; - cpuser = 0L; - - D01RJ d01rj = new D01RJ(); - ifail = -1; - d01rj.eval(f, a, b, epsabs, epsrel, maxsub, result, abserr, - rinfo, iinfo, iuser, ruser, cpuser, ifail); - result = d01rj.getRESULT(); - abserr = d01rj.getABSERR(); - ifail = d01rj.getIFAIL(); - - if (ifail >= 0) { - System.out.println(); - System.out.printf(" A - lower limit of integration = %9.4f\n",a); - System.out.printf(" B - upper limit of integration = %9.4f\n",b); - System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); - System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); - System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); - System.out.println(); - if (ifail <= 5) { - System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); - System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); - System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); - System.out.println(); - } - else if (ifail == -1) { - /* User requested exit */ - System.out.printf(" Exit requested from F with IFLAG %4d\n",iuser[0]); - System.out.println(); - } - - } - - } - - public static class F implements D01RJ.D01RJ_F { - - private int NX, IFLAG; - private double[] X, FV, RUSER; - private int[] IUSER; - private long CPUSER; - - @Override - public void setX(double[] X) { - this.X = X; - } - - @Override - public double[] getX() { - return X; - } - - @Override - public void setNX(int NX) { - this.NX = NX; - } - - @Override - public int getNX() { - return NX; - } - - @Override - public void setFV(double[] FV) { - this.FV = FV; - } - - @Override - public double[] getFV() { - return FV; - } - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void setIUSER(int[] IUSER) { - this.IUSER = IUSER; - } - - @Override - public int[] getIUSER() { - return IUSER; - } - - @Override - public void setRUSER(double[] RUSER) { - this.RUSER = RUSER; - } - - @Override - public double[] getRUSER() { - return RUSER; - } - - @Override - public void setCPUSER(long CPUSER) { - this.CPUSER = CPUSER; - } - - @Override - public long getCPUSER() { - return CPUSER; - } - - @Override - public void eval(double[] X, int NX, double[] FV, int IFLAG, - int[] IUSER, double[] RUSER, long CPUSER) { - - for (int i = 0; i < NX; i++) { - FV[i] = 0.0; - } - - for (int i = 0; i < NX; i++) { - if (X[i] == 1.0) { - /* An undefined result will be generated. */ - /* Set iflag to force an immediate exit */ - IFLAG = -1; - /* Store chosen value of iflag in iuser */ - IUSER[0] = IFLAG; - } - } - if (IFLAG != -1) { - for (int j = 0; j < NX; j++) { - FV[j] = X[j] * Math.sin(30.0 * X[j])/ - Math.sqrt(1.0 - Math.pow(X[j],2)/RUSER[0]); - } - } - return; - - } - - } - -} diff --git a/simple_examples/int32/D01RKJE.java b/simple_examples/int32/D01RKJE.java deleted file mode 100644 index 20c0501..0000000 --- a/simple_examples/int32/D01RKJE.java +++ /dev/null @@ -1,173 +0,0 @@ -import com.nag.routines.D01.D01RK; -import com.nag.routines.X01.X01AA; -import java.util.Arrays; - -/** - * D01RK example program text. - * @author Mo - */ -public class D01RKJE { - - public static void main(String[] args) { - - double pi = 0.0; - double a, b, epsabs, epsrel; - double result = Double.NaN; - double abserr = Double.NaN; - double[] rinfo, ruser; - int [] iinfo, iuser; - int ifail, key, liinfo, lrinfo, maxsub; - long cpuser; // c_ptr - F f = new F(); - - /* Header */ - System.out.println(" D01RKJ Example Program Results"); - - key = 6; - X01AA x01aa = new X01AA(pi); - pi = x01aa.eval(); - a = 0.0; - b = 2.0*pi; - epsabs = 0.0; - epsrel = 0.0001; - maxsub = 20; - lrinfo = 4*maxsub; - liinfo = Math.max(maxsub,4); - - rinfo = new double[lrinfo]; - iinfo = new int[liinfo]; - iuser = new int[0]; - ruser = new double[0]; - - iuser = new int[] {0}; - ruser = new double[] {4.0*Math.pow(pi,2)}; - cpuser = 0L; - - D01RK d01rk = new D01RK(); - ifail = -1; - d01rk.eval(f, a, b, key, epsabs, epsrel, maxsub, result, abserr, - rinfo, iinfo, iuser, ruser, cpuser, ifail); - result = d01rk.getRESULT(); - abserr = d01rk.getABSERR(); - ifail = d01rk.getIFAIL(); - - if (ifail >= 0) { - System.out.println(); - System.out.printf(" A - lower limit of integration = %9.4f\n",a); - System.out.printf(" B - upper limit of integration = %9.4f\n",b); - System.out.printf(" KEY - choice of Gaussian rule = %4d\n",key); - System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); - System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); - System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); - System.out.println(); - if (ifail <= 5) { - System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); - System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); - System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); - System.out.println(); - } - else if (ifail == -1) { - /* User requested exit */ - System.out.printf(" Exit requested from F \n"); - System.out.println(); - } - - } - - } - - public static class F implements D01RK.D01RK_F { - - private int NX, IFLAG; - private double[] X, FV, RUSER; - private int[] IUSER; - private long CPUSER; - - @Override - public void setX(double[] X) { - this.X = X; - } - - @Override - public double[] getX() { - return X; - } - - @Override - public void setNX(int NX) { - this.NX = NX; - } - - @Override - public int getNX() { - return NX; - } - - @Override - public void setFV(double[] FV) { - this.FV = FV; - } - - @Override - public double[] getFV() { - return FV; - } - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void setIUSER(int[] IUSER) { - this.IUSER = IUSER; - } - - @Override - public int[] getIUSER() { - return IUSER; - } - - @Override - public void setRUSER(double[] RUSER) { - this.RUSER = RUSER; - } - - @Override - public double[] getRUSER() { - return RUSER; - } - - @Override - public void setCPUSER(long CPUSER) { - this.CPUSER = CPUSER; - } - - @Override - public long getCPUSER() { - return CPUSER; - } - - @Override - public void eval(double[] X, int NX, double[] FV, int IFLAG, - int[] IUSER, double[] RUSER, long CPUSER) { - - for (int i = 0; i < NX; i++) { - FV[i] = 0.0; - } - - for (int j = 0; j < NX; j++) { - FV[j] = X[j] * Math.sin(30.0 * X[j]) * Math.cos(X[j]); - } - return; - - } - - } - -} diff --git a/simple_examples/int32/D01RLJE.java b/simple_examples/int32/D01RLJE.java deleted file mode 100644 index c8a6d0e..0000000 --- a/simple_examples/int32/D01RLJE.java +++ /dev/null @@ -1,196 +0,0 @@ -import com.nag.routines.D01.D01RL; -import java.util.Arrays; - -/** - * D01RL example program text. - * @author Mo - */ -public class D01RLJE { - - public static void main(String[] args) { - - double a, b, epsabs, epsrel; - double result = Double.NaN; - double abserr = Double.NaN; - double[] points, rinfo, ruser; - int [] iinfo, iuser; - int ifail, liinfo, lrinfo, maxsub, npts; - long cpuser; // c_ptr - F f = new F(); - - /* Header */ - System.out.println(" D01RLJ Example Program Results"); - - epsabs = 0.0; - epsrel = 0.0001; - a = 0.0; - b = 1.0; - npts = 1; - maxsub = 20; - liinfo = 2*Math.max(maxsub,npts) + npts + 4; - lrinfo = 4*Math.max(maxsub,npts) + npts + 6; - - points = new double[npts]; - rinfo = new double[lrinfo]; - iinfo = new int[liinfo]; - iuser = new int[0]; - ruser = new double[21]; - - points[0] = 1.0/7.0; - iuser = new int[] {0}; - ruser = new double[] {0.0}; - cpuser = 0L; - - D01RL d01rl = new D01RL(); - ifail = -1; - d01rl.eval(f, a, b, npts, points, epsabs, epsrel, maxsub, result, abserr, - rinfo, iinfo, iuser, ruser, cpuser, ifail); - points = d01rl.getPOINTS(); - result = d01rl.getRESULT(); - abserr = d01rl.getABSERR(); - ifail = d01rl.getIFAIL(); - - if (ifail >= 0) { - System.out.println(); - System.out.printf(" A - lower limit of integration = %9.4f\n",a); - System.out.printf(" B - upper limit of integration = %9.4f\n",b); - System.out.printf(" POINT(1) - given break-point = %9.4f\n",points[0]); - System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); - System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); - System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); - System.out.println(); - if (ifail <= 5) { - System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); - System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); - System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); - System.out.println(); - } - else if (ifail == -1) { - /* User requested exit */ - System.out.printf(" Exit requested from F"); - System.out.println(); - } - - } - - } - - public static class F implements D01RL.D01RL_F { - - private int NX, IFLAG; - private double[] X, FV, RUSER; - private int[] IUSER; - private long CPUSER; - - @Override - public void setX(double[] X) { - this.X = X; - } - - @Override - public double[] getX() { - return X; - } - - @Override - public void setNX(int NX) { - this.NX = NX; - } - - @Override - public int getNX() { - return NX; - } - - @Override - public void setFV(double[] FV) { - this.FV = FV; - } - - @Override - public double[] getFV() { - return FV; - } - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void setIUSER(int[] IUSER) { - this.IUSER = IUSER; - } - - @Override - public int[] getIUSER() { - return IUSER; - } - - @Override - public void setRUSER(double[] RUSER) { - this.RUSER = RUSER; - } - - @Override - public double[] getRUSER() { - return RUSER; - } - - @Override - public void setCPUSER(long CPUSER) { - this.CPUSER = CPUSER; - } - - @Override - public long getCPUSER() { - return CPUSER; - } - - @Override - public void eval(double[] X, int NX, double[] FV, int IFLAG, - int[] IUSER, double[] RUSER, long CPUSER) { - - /*for (int i = 0; i < NX; i++) {*/ - /*FV[i] = 0.0;*/ - /*}*/ - - for (int i = 0; i < NX; i++) { - FV[i] = Math.abs(X[i] - 1.0/7.0); - } - - for (int i = 0; i < NX; i++) { - if (FV[i] == 0.0) { - /* A singular point will be hit. */ - /* Record offending abscissae and abort computation. */ - IFLAG = 0; - for (int k = 0; k < NX; k++) { - if (FV[k] == 0.0) { - IFLAG = IFLAG + 1; - RUSER[IFLAG-1] = X[k]; - } - } - /* Store value of iflag in iuser */ - IUSER[0] = IFLAG; - /* signal abort by setting iflag<0 */ - IFLAG = -IFLAG; - } - } - if (IFLAG == 0) { - /* Safe to evaluate. */ - for (int j = 0; j < NX; j++) { - FV[j] = 1.0/Math.sqrt(FV[j]); - } - } - return; - - } - - } - -} diff --git a/simple_examples/int32/D01RMJE.java b/simple_examples/int32/D01RMJE.java deleted file mode 100644 index 6e80b2b..0000000 --- a/simple_examples/int32/D01RMJE.java +++ /dev/null @@ -1,163 +0,0 @@ -import com.nag.routines.D01.D01RM; -import java.util.Arrays; - -/** - * D01RM example program text. - * @author Mo - */ -public class D01RMJE { - - public static void main(String[] args) { - - double bound, epsabs, epsrel; - double result = Double.NaN; - double abserr = Double.NaN; - double[] rinfo, ruser; - int [] iinfo, iuser; - int ifail, inf, liinfo, lrinfo, maxsub; - long cpuser; // c_ptr - F f = new F(); - - /* Header */ - System.out.println(" D01RMJ Example Program Results"); - - bound = 0.0; - inf = 1; - epsabs = 0.0; - epsrel = 0.0001; - maxsub = 20; - lrinfo = 4*maxsub; - liinfo = Math.max(maxsub,4); - - rinfo = new double[lrinfo]; - iinfo = new int[liinfo]; - iuser = new int[0]; - ruser = new double[0]; - - iuser = new int[] {0}; - ruser = new double[] {0.0}; - cpuser = 0L; - - D01RM d01rm = new D01RM(); - ifail = -1; - d01rm.eval(f, bound, inf, epsabs, epsrel, maxsub, result, abserr, - rinfo, iinfo, iuser, ruser, cpuser, ifail); - result = d01rm.getRESULT(); - abserr = d01rm.getABSERR(); - ifail = d01rm.getIFAIL(); - - if (ifail >= 0) { - System.out.println(); - System.out.printf(" A - lower limit of integration = %9.4f\n",bound); - System.out.println(" B - upper limit of integration = infinity\n"); - System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); - System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); - System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); - System.out.println(); - if (ifail <= 5) { - System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); - System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); - System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); - System.out.println(); - } - else if (ifail == -1) { - /* User requested exit */ - System.out.printf(" Exit requested from F \n"); - System.out.println(); - } - - } - - } - - public static class F implements D01RM.D01RM_F { - - private int NX, IFLAG; - private double[] X, FV, RUSER; - private int[] IUSER; - private long CPUSER; - - @Override - public void setX(double[] X) { - this.X = X; - } - - @Override - public double[] getX() { - return X; - } - - @Override - public void setNX(int NX) { - this.NX = NX; - } - - @Override - public int getNX() { - return NX; - } - - @Override - public void setFV(double[] FV) { - this.FV = FV; - } - - @Override - public double[] getFV() { - return FV; - } - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void setIUSER(int[] IUSER) { - this.IUSER = IUSER; - } - - @Override - public int[] getIUSER() { - return IUSER; - } - - @Override - public void setRUSER(double[] RUSER) { - this.RUSER = RUSER; - } - - @Override - public double[] getRUSER() { - return RUSER; - } - - @Override - public void setCPUSER(long CPUSER) { - this.CPUSER = CPUSER; - } - - @Override - public long getCPUSER() { - return CPUSER; - } - - @Override - public void eval(double[] X, int NX, double[] FV, int IFLAG, - int[] IUSER, double[] RUSER, long CPUSER) { - - for (int j = 0; j < NX; j++) { - FV[j] = 1.0/((X[j] + 1.0) * Math.sqrt(X[j])); - } - return; - - } - - } - -} diff --git a/simple_examples/int32/D01TCJE.java b/simple_examples/int32/D01TCJE.java deleted file mode 100644 index cde8428..0000000 --- a/simple_examples/int32/D01TCJE.java +++ /dev/null @@ -1,45 +0,0 @@ -import com.nag.routines.D01.D01TC; -import java.util.Arrays; - -/** - * D01TC example program text. - * @author Mo - */ -public class D01TCJE { - - public static void main(String[] args) { - - double a, b, c, d; - double[] abscis, weight; - int n, ifail, itype; - - /* Header */ - System.out.println(" D01TCJ Example Program Results"); - - n = 7; - a = 0.0; - b = 1.0; - c = 0.0; - d = 0.0; - itype = -3; - - abscis = new double[n]; - weight = new double[n]; - - D01TC d01tc = new D01TC(); - ifail = 0; - d01tc.eval(itype, a, b, c, d, n, weight, abscis, ifail); - abscis= d01tc.getABSCIS(); - weight = d01tc.getWEIGHT(); - - System.out.println(); - System.out.printf(" Laguerre formula, %2d points\n",n); - System.out.println(); - System.out.println(" Abscissae Weights\n"); - for (int j = 0; j < n; j++) { - System.out.printf("%15.5E %15.5E\n", abscis[j], weight[j]); - } - - } - -} diff --git a/simple_examples/int32/D02NEJE.java b/simple_examples/int32/D02NEJE.java deleted file mode 100644 index 34a5b25..0000000 --- a/simple_examples/int32/D02NEJE.java +++ /dev/null @@ -1,388 +0,0 @@ -import com.nag.routines.D02.D02MC; -import com.nag.routines.D02.D02MW; -import com.nag.routines.D02.D02NE; -import com.nag.routines.D02.D02NEZ; -import com.nag.routines.D02.D02NP; -import java.util.Arrays; - -/** - * D02NE example program text. - * @author joed - */ -public class D02NEJE { - - public static final double ALPHA = 0.04; - public static final double BETA = 1.0E4; - public static final double GAMMA = 3.0E7; - public static final int ML = 1; - public static final int MU = 2; - public static final int NEQ1 = 3; - public static final int NEQ2 = 1; - - public static JAC1 jac1 = new JAC1(); - public static JAC2 jac2 = new JAC2(); - public static RES1 res1 = new RES1(); - public static RES2 res2 = new RES2(); - - public static void main(String[] args) { - - System.out.println(" D02NEJ Example Program Results"); - - ex1(); - ex2(); - - } - - private static void ex1() { - - D02MC d02mc = new D02MC(); - D02MW d02mw = new D02MW(); - D02NE d02ne = new D02NE(); - D02NP d02np = new D02NP(); - double h0, hmax, t, tout; - int ifail, ijac, itask, itol, lcom, licom, maxord, neq; - String jceval; // length 8 - double[] atol, com, rtol, y, ydot, ruser; - int[] icom, iuser; - - ruser = new double[1]; - iuser = new int[3]; - - System.out.println(); - System.out.println(" D02NEF Example 1"); - System.out.println(); - - maxord = 5; - - neq = NEQ1; - lcom = 40 + (maxord + 4) * neq + (2 * ML + MU + 1) * neq - + 2 * (neq / (ML + MU + 1) + 1); - licom = 50 + neq; - - atol = new double[neq]; - com = new double[lcom]; - rtol = new double[neq]; - y = new double[neq]; - ydot = new double[neq]; - icom = new int[licom]; - - ijac = 1; - itol = 1; - Arrays.fill(rtol, 1.0E-3); - Arrays.fill(atol, 1.0E-6); - Arrays.fill(ydot, 0.0); - - // String length = 8 - jceval = (ijac == 1) ? "Analytic" : "Numeric "; - - // Set initial values - y[0] = 1.0; - y[1] = 0.0; - y[2] = 0.0; - - // Initialize the problem, specifying that the Jacobian is to be - // evaluated analytically using the provided routine jac. - hmax = 0.0; - h0 = 0.0; - t = 0.0; - tout = 0.02; - ifail = 0; - d02mw.eval( - neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail - ); - ifail = d02mw.getIFAIL(); - - // Specify that the Jacobian is banded. - ifail = 0; - d02np.eval(neq, ML, MU, icom, licom, ifail); - ifail = d02np.getIFAIL(); - - // Use the iuser array to pass the band dimensions through to jac. - // An alternative would be to hard code values for ml and mu in jac. - iuser[0] = ML; - iuser[1] = MU; - iuser[2] = ijac; - - System.out.printf(" t "); - for (int i = 1; i <= neq; i++) { - System.out.printf(" Y(%1d) ", i); - } - System.out.println(); - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - itask = 0; - - // Obtain the solution at 5 equally spaced values of T. - for (int j = 0; j < 5; j++) { - ifail = -1; - d02ne.eval( - neq, t, tout, y, ydot, rtol, atol, itask, res1, jac1, icom, - com, lcom, iuser, ruser, ifail - ); - itask = d02ne.getITASK(); - ifail = d02ne.getIFAIL(); - t = d02ne.getT(); - - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - if (ifail != 0) { - System.out.printf( - " ** D02NEF returned with IFAIL = %5d\n", ifail - ); - break; - } - - tout += 0.02; - d02mc.eval(icom); - - } - - System.out.println(); - System.out.printf( - " The integrator completed task, ITASK = %4d\n", itask - ); - - } - - private static void ex2() { - D02MC d02mc = new D02MC(); - D02MW d02mw = new D02MW(); - D02NE d02ne = new D02NE(); - double h0, hmax, t, tout; - int ifail, ijac, itask, itol, lcom, licom, maxord, neq; - String jceval; // length 8 - double[] atol, com, rtol, y, ydot, ruser; - int[] icom, iuser; - - ruser = new double[1]; - iuser = new int[1]; - - System.out.println(); - System.out.println(" D02NEF Example 2"); - System.out.println(); - - maxord = 5; - neq = NEQ2; - lcom = 40 + (maxord + 4) * neq + neq * neq; - licom = 50 + neq; - - atol = new double[neq]; - com = new double[lcom]; - rtol = new double[neq]; - y = new double[neq]; - ydot = new double[neq]; - icom = new int[licom]; - - ijac = 1; - itol = 1; - rtol[0] = 0.0; - atol[0] = 1.0E-8; - ydot[0] = 0.0; - - // String length = 8 - jceval = (ijac == 1) ? "Analytic" : "Numeric "; - - // Initialize the problem, specifying that the Jacobian is to be - // evaluated analytically using the provided routine jac. - y[0] = 2.0; - hmax = 0.0; - h0 = 0.0; - t = 0.0; - tout = 0.2; - - ifail = 0; - d02mw.eval( - neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail - ); - ifail = d02mw.getIFAIL(); - - // Use the iuser array to pass whether numerical or analytic Jacobian - // is to be used. - iuser[0] = ijac; - - System.out.printf(" t "); - for (int i = 1; i <= neq; i++) { - System.out.printf(" y(%1d) ", i); - } - System.out.println(); - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - itask = 0; - - for (int j = 0; j < 5; j++) { - ifail = -1; - d02ne.eval( - neq, t, tout, y, ydot, rtol, atol, itask, res2, jac2, icom, - com, lcom, iuser, ruser, ifail - ); - itask = d02ne.getITASK(); - ifail = d02ne.getIFAIL(); - t = d02ne.getT(); - - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - if (ifail != 0) { - System.out.printf( - " ** D02NEF returned with IFAIL = %5d\n", ifail - ); - break; - } - - tout += 0.2; - d02mc.eval(icom); - - } - - System.out.println(); - System.out.printf( - " The integrator completed task, ITASK = %4d\n", itask - ); - - } - - /** - * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based - * Java index. - * - *

    Fortran array definition: - * a(dimX, *) - * - *

    Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return ((y-1) * dimX) + (x-1); - } - - public static class RES1 extends D02NE.Abstract_D02NE_RES { - - public void eval() { - - this.R[0] = -(ALPHA * this.Y[0]) + (BETA * this.Y[1] * this.Y[2]) - - this.YDOT[0]; - this.R[1] = (ALPHA * this.Y[0]) - (BETA * this.Y[1] * this.Y[2]) - - (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[1]; - this.R[2] = (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[2]; - - } - - } - - public static class JAC1 extends D02NE.Abstract_D02NE_JAC { - - private double[] myjac1( - int neq, int ml, int mu, double t, double[] y, double[] ydot, - double[] pd, double cj - ) { - - int md, ms, pdDim1; - - pdDim1 = (2 * ml) + mu + 1; - - // Main diagonal pdfull(i,i), i=1, neq - md = mu + ml + 1; - pd[getIdx(md, 1, pdDim1)] = -ALPHA - cj; - pd[getIdx(md, 2, pdDim1)] = (-BETA * y[2]) - (2.0 * GAMMA * y[1]) - - cj; - pd[getIdx(md, 3, pdDim1)] = -cj; - - // 1 subdiagonal pdfull(i-1,i), i=2, neq - ms = md + 1; - pd[getIdx(ms, 1, pdDim1)] = ALPHA; - pd[getIdx(ms, 2, pdDim1)] = 2.0 * GAMMA * y[1]; - - // First superdiagonal pdfull(i-1,i), i=2, neq - ms = md - 1; - pd[getIdx(ms, 2, pdDim1)] = BETA * y[2]; - pd[getIdx(ms, 3, pdDim1)] = -BETA * y[1]; - - // Second superdiagonal pdfull(i-2,i), i=3, neq - ms = md - 2; - pd[getIdx(ms, 3, pdDim1)] = BETA * y[1]; - - return pd; - - } - - public void eval() { - D02NEZ d02nez = new D02NEZ(); - int ijac, ml, mu; - - ml = this.IUSER[0]; - mu = this.IUSER[1]; - ijac = this.IUSER[2]; - - if (ijac == 1) { - myjac1( - this.NEQ, ml, mu, this.T, this.Y, this.YDOT, this.PD, - this.CJ - ); - } - else { - d02nez.eval( - this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, - this.IUSER, this.RUSER - ); - } - - } - - } - - public static class RES2 extends D02NE.Abstract_D02NE_RES { - - public void eval() { - this.R[0] = 4.0 - Math.pow(this.Y[0], 2.0) - + (this.T * 0.1E0 * Math.exp(this.Y[0])); - } - - } - - public static class JAC2 extends D02NE.Abstract_D02NE_JAC { - - private void myjac2( - int neq, double t, double[] y, double[] ydot, double[] pd, - double cj - ) { - - pd[0] = -(2.0 * y[0]) + (0.1E0 * t * y[0] * Math.exp(y[0])); - - } - - public void eval() { - D02NEZ d02nez = new D02NEZ(); - int ijac; - - ijac = this.IUSER[0]; - - if (ijac == 1) { - myjac2(this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ); - } - else { - d02nez.eval( - this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, - this.IUSER, this.RUSER - ); - } - - } - - } - -} diff --git a/simple_examples/int32/D02TLJE.java b/simple_examples/int32/D02TLJE.java deleted file mode 100644 index 601b3ce..0000000 --- a/simple_examples/int32/D02TLJE.java +++ /dev/null @@ -1,290 +0,0 @@ -import com.nag.routines.D02.D02TL; -import com.nag.routines.D02.D02TV; -import com.nag.routines.D02.D02TX; -import com.nag.routines.D02.D02TY; -import com.nag.routines.D02.D02TZ; -import java.util.Arrays; - -/** - * D02TL example program text. - * @author joed - */ -public class D02TLJE { - - public static final int MMAX = 3, NEQ = 3, NLBC = 3, NRBC = 3; - - public static double omega, sqrofr; - public static int[] m = {1, 3, 2}; - - public static FFUN ffun = new FFUN(); - public static FJAC fjac = new FJAC(); - public static GAFUN gafun = new GAFUN(); - public static GAJAC gajac = new GAJAC(); - public static GBFUN gbfun = new GBFUN(); - public static GBJAC gbjac = new GBJAC(); - public static GUESS guess = new GUESS(); - - public static void main(String[] args) { - - D02TL d02tl = new D02TL(); - D02TV d02tv = new D02TV(); - D02TX d02tx = new D02TX(); - D02TY d02ty = new D02TY(); - D02TZ d02tz = new D02TZ(); - double dx, ermx, r; - int iermx, ifail, ijermx, licomm, lrcomm, mxmesh, ncol, ncont, - nmesh; - double[] mesh, rcomm, tol, y, ruser = new double[1]; - int[] icomm, ipmesh, iuser = new int[2]; - - System.out.println(" D02TLJ Example Program Results"); - System.out.println(); - - ncol = 7; - nmesh = 11; - mxmesh = 51; - - mesh = new double[mxmesh]; - tol = new double[NEQ]; - y = new double[NEQ * MMAX]; - ipmesh = new int[mxmesh]; - - omega = 1.0; - Arrays.fill(tol, 1.0E-4); - - dx = 1.0 / ((double) nmesh - 1); - - mesh[0] = 0.0; - for (int i = 1; i < nmesh - 1; i++) { - mesh[i] = mesh[i - 1] + dx; - } - mesh[nmesh - 1] = 1.0; - - ipmesh[0] = 1; - Arrays.fill(ipmesh, 1, nmesh - 1, 2); - ipmesh[nmesh - 1] = 1; - - // Workspace query to get size of rcomm and icomm - ifail = 0; - d02tv.eval( - NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, ruser, - 0, iuser, 2, ifail - ); - ifail = d02tv.getIFAIL(); - lrcomm = iuser[0]; - licomm = iuser[1]; - rcomm = new double[lrcomm]; - icomm = new int[licomm]; - - // Initialise integrator for given problem - ifail = 0; - d02tv.eval( - NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, rcomm, - lrcomm, icomm, licomm, ifail - ); - ifail = d02tv.getIFAIL(); - - ncont = 3; - r = 1.0E6; - - sqrofr = Math.sqrt(r); - - ermx = 0.0; - iermx = 0; - ijermx = 0; - - for (int j = 0; j < ncont; j++) { - System.out.printf("\n Tolerance = %8.1E R = %10.3E\n", tol[0], r); - - // Solve problem - ifail = -1; - d02tl.eval( - ffun, fjac, gafun, gbfun, gajac, gbjac, guess, rcomm, icomm, - iuser, ruser, ifail - ); - ifail = d02tl.getIFAIL(); - if (ifail != 0) { - System.err.println("D02TL failed with error code " + ifail); - } - - // Extract mesh - ifail = -1; - d02tz.eval( - mxmesh, nmesh, mesh, ipmesh, ermx, iermx, ijermx, rcomm, icomm, - ifail - ); - nmesh = d02tz.getNMESH(); - iermx = d02tz.getIERMX(); - ijermx = d02tz.getIJERMX(); - ermx = d02tz.getERMX(); - ifail = d02tz.getIFAIL(); - if (ifail == 1) { - break; - } - - // Print mesh, error stats - System.out.printf( - "\n" - + " Used a mesh of %4d points\n" - + " Maximum error = %10.2E in interval %4d for component %4d\n" - + "\n", - nmesh, ermx, iermx, ijermx - ); - System.out.printf("\n Mesh points:\n"); - for (int i = 0; i < nmesh; i++) { - System.out.printf("%4d(%1d)%10.3E", i+1, ipmesh[i], mesh[i]); - if ((i+1) % 4 == 0) { - System.out.printf("\n"); - } - } - System.out.printf("\n"); - - // Print solution components on mesh - System.out.printf("\n x f f\' g\n"); - for (int i = 0; i < nmesh; i++) { - ifail = 0; - d02ty.eval(mesh[i], y, NEQ, MMAX, rcomm, icomm, ifail); - ifail = d02ty.getIFAIL(); - System.out.printf( - " %8.3f %9.4f%9.4f%9.4f\n", mesh[i], y[getIdx(1, 0, NEQ)], - y[getIdx(2, 0, NEQ)], y[getIdx(3, 0, NEQ)] - ); - } - - if (j == ncont - 1) { - break; - } - - // Modify continuation parameter - r = 100.0 * r; - sqrofr = Math.sqrt(r); - - // Select mesh for continuation - Arrays.fill(ipmesh, 1, nmesh - 1, 2); - - // Call continuation primer routine - ifail = 0; - d02tx.eval(mxmesh, nmesh, mesh, ipmesh, rcomm, icomm, ifail); - mxmesh = d02tx.getMXMESH(); - nmesh = d02tx.getNMESH(); - ifail = d02tx.getIFAIL(); - - } - - } - - /** - * Converts a 2D Fortran index to the 1D index for its corresponding Java - * array. Assumes y is already zero-based. - * - *

    Fortran array definition: - * a(dimX, 0:*) - * - *

    Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return (y * dimX) + (x-1); - } - - /** - * Converts a 3D Fortran index to the 1D index for its corresponding Java - * array. Assumes z is already zero-based. - * - *

    Fortran array definition: - * a(dimX, dimY, 0:*) - * - *

    Conversion: - * a(x, y, z) --> A[result] - */ - private static int getIdx(int x, int y, int z, int dimX, int dimY) { - return (z * dimY * dimX) + ((y-1) * dimX) + (x-1); - } - - public static class FFUN extends D02TL.Abstract_D02TL_FFUN { - - public void eval() { - F[0] = Y[getIdx(2, 0, NEQ)]; - F[1] = -((Y[getIdx(1, 0, NEQ)] * Y[getIdx(2, 2, NEQ)]) - + (Y[getIdx(3, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; - F[2] = ((Y[getIdx(2, 0, NEQ)] * Y[getIdx(3, 0, NEQ)]) - - (Y[getIdx(1, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; - } - - } - - public static class FJAC extends D02TL.Abstract_D02TL_FJAC { - - public void eval() { - DFDY[getIdx(1, 2, 0, NEQ, NEQ)] = 1.0; - DFDY[getIdx(2, 1, 0, NEQ, NEQ)] = -Y[getIdx(2, 2, NEQ)] * sqrofr; - DFDY[getIdx(2, 2, 2, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; - DFDY[getIdx(2, 3, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; - DFDY[getIdx(2, 3, 1, NEQ, NEQ)] = -Y[getIdx(3, 0, NEQ)] * sqrofr; - DFDY[getIdx(3, 1, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; - DFDY[getIdx(3, 2, 0, NEQ, NEQ)] = Y[getIdx(3, 0, NEQ)] * sqrofr; - DFDY[getIdx(3, 3, 0, NEQ, NEQ)] = Y[getIdx(2, 0, NEQ)] * sqrofr; - DFDY[getIdx(3, 3, 1, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; - } - - } - - public static class GAFUN extends D02TL.Abstract_D02TL_GAFUN { - - public void eval() { - GA[0] = YA[getIdx(1, 0, NEQ)]; - GA[1] = YA[getIdx(2, 0, NEQ)]; - GA[2] = YA[getIdx(3, 0, NEQ)] - omega; - } - - } - - public static class GBFUN extends D02TL.Abstract_D02TL_GBFUN { - - public void eval() { - GB[0] = YB[getIdx(1, 0, NEQ)]; - GB[1] = YB[getIdx(2, 0, NEQ)]; - GB[2] = YB[getIdx(3, 0, NEQ)] + omega; - } - - } - - public static class GAJAC extends D02TL.Abstract_D02TL_GAJAC { - - public void eval() { - DGADY[getIdx(1, 1, 0, NLBC, NEQ)] = 1.0; - DGADY[getIdx(2, 2, 0, NLBC, NEQ)] = 1.0; - DGADY[getIdx(3, 3, 0, NLBC, NEQ)] = 1.0; - } - - } - - public static class GBJAC extends D02TL.Abstract_D02TL_GBJAC { - - public void eval() { - DGBDY[getIdx(1, 1, 0, NRBC, NEQ)] = 1.0; - DGBDY[getIdx(2, 2, 0, NRBC, NEQ)] = 1.0; - DGBDY[getIdx(3, 3, 0, NRBC, NEQ)] = 1.0; - } - - } - - public static class GUESS extends D02TL.Abstract_D02TL_GUESS { - - public void eval() { - Y[getIdx(1, 0, NEQ)] = -(X - 0.5) * Math.pow(X * (X - 1.0), 2.0); - Y[getIdx(2, 0, NEQ)] = -X * (X - 1.0) - * (5.0 * X * (X - 1.0) + 1.0); - Y[getIdx(2, 1, NEQ)] = -(2.0 * X - 1.0) - * (10.0 * X * (X - 1.0) + 1.0); - Y[getIdx(2, 2, NEQ)] = -12.0 * (5.0 * X * (X - 1.0) + 1.0); - Y[getIdx(3, 0, NEQ)] = -8.0 * omega * Math.pow(X - 0.5, 3.0); - Y[getIdx(3, 1, NEQ)] = -24.0 * omega * Math.pow(X - 0.5, 2.0); - DYM[0] = Y[getIdx(2, 0, NEQ)]; - DYM[1] = -120.0 * (X - 0.5); - DYM[2] = -56.0 * omega * (X - 0.5); - } - - } - -} diff --git a/simple_examples/int32/D03PCJE.java b/simple_examples/int32/D03PCJE.java deleted file mode 100644 index 4901e2e..0000000 --- a/simple_examples/int32/D03PCJE.java +++ /dev/null @@ -1,217 +0,0 @@ -import com.nag.routines.D03.D03PC; -import com.nag.routines.D03.D03PZ; -import com.nag.routines.X01.X01AA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.lang.StringBuilder; - -/** - * D03PCJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class D03PCJE{ - - /** - * D03PCJE main program - */ - public static void main(String[] args){ - int ifail, ind, intpts = 0, it, itask, itrace = 0, itype = 0, lisave, lrsave, m = 0, neqn, npts = 0, nwk, npde = 2; - double hx, pi, piby2, tout = 0, ts = 0, acc = 0, alpha = 0; - int[] isave, iuser, iwsav; - double[] rsave, u, uout, x, xout, ruser, rwsav; - boolean[] lwsav; - String[] cwsav; - - xout = new double[0]; // placeholders - ruser = new double[1]; - rwsav = new double[1100]; - iuser = new int[1]; - iwsav = new int[505]; - lwsav = new boolean[100]; - cwsav = new String[10]; - - System.out.println("D03PCJ Example Program Results"); - - //Specify path to data file - if(args.length != 1){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - intpts = Integer.parseInt(sVal[0]); - npts = Integer.parseInt(sVal[1]); - itype = Integer.parseInt(sVal[2]); - - xout = new double[intpts]; - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int i = 0; i < intpts; i++){ - xout[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.split("\\s+"); - acc = Double.parseDouble(sVal[0]); - alpha = Double.parseDouble(sVal[1]); - - line = reader.readLine(); - sVal = line.split("\\s+"); - m = Integer.parseInt(sVal[0]); - itrace = Integer.parseInt(sVal[1]); - - line = reader.readLine(); - sVal = line.split("\\s+"); - ts = Double.parseDouble(sVal[0]); - tout = Double.parseDouble(sVal[1]); - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - neqn = npde * npts; - lisave = neqn + 24; - nwk = (10 + (6 * npde)) * neqn; - lrsave = nwk + ((21 + (3 * npde)) * npde) + (7 * npts) + 54; - - rsave = new double[lrsave]; - u = new double[npde * npts]; - uout = new double[npde * intpts * itype]; - x = new double[npts]; - isave = new int[lisave]; - ruser[0] = alpha; - ind = 0; - itask = 1; - - X01AA x01aa = new X01AA(); - pi = x01aa.eval(); - piby2 = 0.5 * pi; - hx = piby2/(double)(npts - 1); - x[0] = 0.0; - x[npts - 1] = 1.0; - for(int i = 1; i < (npts - 1); i++){ - x[i] = Math.sin(hx * (double)(i)); - } - - u = uinit(x, npts, iuser, ruser); - - //Character (80) :: cwsav(10) - //Surely a better way of doing this? - for(int i = 0; i < 10; i++){ - StringBuilder builder = new StringBuilder(""); - for(int j = 0; j < 80; j++){ - builder.append(" "); - } - cwsav[i] = builder.toString(); - } - - for(int i = 0; i <5; i++){ - tout = 10 * tout; - - ifail = 0; - pdedef pdedef1 = new pdedef(); - bndary bndary1 = new bndary(); - D03PC d03pc = new D03PC(npde, m, ts, tout, pdedef1, bndary1, u, npts, x, acc, rsave, lrsave, - isave, lisave, itask, itrace, ind, iuser, ruser, cwsav, lwsav, iwsav, - rwsav, ifail); - d03pc.eval(); - - //update ind - ind = d03pc.getIND(); - - if(i == 0){ - System.out.printf("Accuracy requirement = \t%.5e\n Parameter ALPHA = \t%.3e\n", acc, alpha); - System.out.printf("T / X "); - for(int j = 0; j < xout.length; j++){ - System.out.printf("\t%.4f", xout[j]); - } - System.out.printf("\n"); - } - System.out.println(); - - //Interpolate at required spatial points - ifail = 0; - - D03PZ d03pz = new D03PZ(npde, m, u, npts, x, xout, intpts, itype, uout, ifail); - d03pz.eval(); - - System.out.printf("%.4f \tU(1)", tout); - for(int j = 0; j < intpts; j++){ - System.out.printf("\t%.4f ", uout[j * 2]); - } - System.out.printf("\n"); - System.out.printf("\tU(2)"); - for(int j = 0; j < intpts; j++){ - System.out.printf("\t%.4f ", uout[j * 2 + 1]); - } - System.out.printf("\n"); - System.out.println(); - } - - System.out.printf("Number of Integration steps in time\t\t\t%d\n", isave[0]); - System.out.printf("Number of residual evaluations of resulting ODE system\t%d\n", isave[1]); - System.out.printf("Number of Jacobian evaluations\t\t\t\t%d\n", isave[2]); - System.out.printf("Number of iterations of nonlinear solver\t\t%d\n", isave[4]); - } - - /** - * PDE initial condition - */ - public static double[] uinit(double[] x, int npts, int[] iuser, double[] ruser){ - double alpha = ruser[0]; - double[] u = new double[2 * npts]; - for(int i = 0; i < npts; i++){ - u[2 * i] = 2 * alpha * x[i]; - u[(2 * i) + 1] = 1; - } - return u; - } - - public static class pdedef extends D03PC.Abstract_D03PC_PDEDEF{ - public void eval(){ - double alpha = this.RUSER[0]; - this.Q[0] = 4 * alpha * (this.U[1] + (this.X * this.UX[1])); - this.Q[1] = 0; - this.R[0] = this.X * this.UX[0]; - this.R[1] = this.UX[1] - (this.U[0] * this.U[1]); - this.P[0] = 0; - this.P[1] = 0; - this.P[2] = 0; - this.P[3] = 1 - (this.X * this.X); - } - } - - public static class bndary extends D03PC.Abstract_D03PC_BNDARY{ - public void eval(){ - if(this.IBND == 0){ - this.BETA[0] = 0; - this.BETA[1] = 1; - this.GAMMA[0] = this.U[0]; - this.GAMMA[1] = -this.U[0] * this.U[1]; - } - else{ - this.BETA[0] = 1; - this.BETA[1] = 0; - this.GAMMA[0] = -this.U[0]; - this.GAMMA[1] = this.U[1]; - } - } - } - -} - - - diff --git a/simple_examples/int32/D03RAJE.java b/simple_examples/int32/D03RAJE.java deleted file mode 100644 index 88d49aa..0000000 --- a/simple_examples/int32/D03RAJE.java +++ /dev/null @@ -1,307 +0,0 @@ -import com.nag.routines.D03.D03RA; -import com.nag.routines.D03.D03RA.D03RA_BNDARY; -import com.nag.routines.D03.D03RA.D03RA_MONITR; -import com.nag.routines.X01.X01AA; -import com.nag.routines.X02.X02AJ; -import java.util.Arrays; - -/** - * D03RA example program text. - * @author joed - */ -public class D03RAJE { - - public static final double ALPHA = 50.0; - public static final double BETA = 300.0; - public static final double XMAX = 1.0; - public static final double XMIN = 0.0; - public static final double YMAX = 1.0; - public static final double YMIN = 0.0; - public static final int ITRACE = 0; - public static final int NPDE = 1; - - public static D03RA d03ra = new D03RA(); - public static PDEDEF pdedef = new PDEDEF(); - public static BNDRY bndry = new BNDRY(); - public static PDEIV pdeiv = new PDEIV(); - public static MONIT monit = new MONIT(); - public static MONITDUMMY monitDummy = new MONITDUMMY(); - - public static void main(String[] args) { - double tols, tolt, tout, ts; - int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, npde, npts, nx, ny; - double[] dt, twant, optr, rwk; - int[] wklens, iwk, opti = new int[4]; - boolean[] lwk; - - // Run examples - System.out.println(" D03RAJ Example Program Results"); - System.out.println(); - - npts = 2000; - npde = NPDE; - - dt = new double[] {0.1e-2, 0.0, 0.0}; - twant = new double[] {0.24, 0.25}; - ts = 0.0; - - ind = 10; - nx = 41; - ny = 41; - tols = 0.5; - tolt = 0.01; - Arrays.fill(opti, 0); - opti[0] = 6; - maxlev = Math.max(opti[0], 3); - - wklens = computeWkspaceLens(maxlev, npde, npts); - lenrwk = wklens[0]; - leniwk = wklens[1]; - lenlwk = wklens[2]; - rwk = new double[lenrwk]; - iwk = new int[leniwk]; - lwk = new boolean[lenlwk]; - - optr = new double[3 * npde]; - Arrays.fill(optr, 1.0); - - for (int i = 0; i < 2; i++) { - tout = twant[i]; - ifail = 0; - if (i == 0) { - // Dummy monitor used to avoid output on first call - d03ra.eval( - npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, - tolt, pdedef, bndry, pdeiv, monitDummy, opti, optr, - rwk, lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail - ); - } - else { - d03ra.eval( - npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, - tolt, pdedef, bndry, pdeiv, monit, opti, optr, rwk, - lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail - ); - } - - ind = d03ra.getIND(); - ifail = d03ra.getIFAIL(); - ts = d03ra.getTS(); - - printStatistics(ts, iwk, maxlev); - - } - - } - - public static class PDEIV extends D03RA.Abstract_D03RA_PDEIV { - - public void eval() { - Arrays.fill(this.U, 1.0); - } - - } - - public static class PDEDEF extends D03RA.Abstract_D03RA_PDEDEF { - - private static final double ACTIV_ENERGY = 20.0; - private static final double DIFFUSION = 0.1; - private static final double HEAT_RELEASE = 1.0; - private static final double REACTION_RATE = 5.0; - - public void eval() { - - double damkohler; - - damkohler = REACTION_RATE * Math.exp(ACTIV_ENERGY) - / (HEAT_RELEASE * ACTIV_ENERGY); - - for (int col = 0; col < this.NPDE; col++) { - for (int row = 0; row < this.NPTS; row++) { - int idx = (col * this.NPTS) + row; - this.RES[idx] = this.UT[idx] - - (DIFFUSION * (this.UXX[idx] + this.UYY[idx])) - - (damkohler - * (1.0e0 + HEAT_RELEASE - this.U[idx]) - * Math.exp(-ACTIV_ENERGY / this.U[idx])); - } - } - - } - - } - - public static class BNDRY extends D03RA.Abstract_D03RA_BNDARY { - - public void eval() { - X02AJ x02aj = new X02AJ(); - double tol; - - // X02AJ returns machine precision - tol = 10.0 * x02aj.eval(); - - for (int i = 0; i < this.NBPTS; i++) { - int j = this.LBND[i] - 1; - - if (Math.abs(this.X[j]) <= tol) { - for (int col = 0; col < this.NPDE; col++) { - int idx = (col * this.NPTS) + j; - this.RES[idx] = this.UX[idx]; - } - } - else if (Math.abs(this.X[j] - 1.0) <= tol) { - for (int col = 0; col < this.NPDE; col++) { - int idx = (col * this.NPTS) + j; - this.RES[idx] = this.U[idx] - 1.0; - } - } - else if (Math.abs(this.Y[j]) <= tol) { - for (int col = 0; col < this.NPDE; col++) { - int idx = (col * this.NPTS) + j; - this.RES[idx] = this.UY[idx]; - } - } - else if (Math.abs(this.Y[j] - 1.0) <= tol) { - for (int col = 0; col < this.NPDE; col++) { - int idx = (col * this.NPTS) + j; - this.RES[idx] = this.U[idx] - 1.0; - } - } - } - - } - - } - - public static class MONIT extends D03RA.Abstract_D03RA_MONITR { - - public void eval() { - int ipsol, k, level, npts; - - if (TLAST) { - // Print solution - level = this.NLEV - 1; - npts = this.NGPTS[level]; - ipsol = this.LSOL[level]; - k = 0; - for (int i = 0; i < level; i++) { - k += this.NGPTS[i]; - } - - System.out.printf( - " Solution at every 4th grid point in level%10d" - + " at time %8.4f:%n%n", this.NLEV, this.T - ); - System.out.println( - " x y approx u\n" - ); - for (int i = 0; i < npts; i += 4) { - double ix = this.XPTS[k + i]; - double iy = this.YPTS[k + i]; - double isol = this.SOL[ipsol + i]; - System.out.printf( - " %11.4E %11.3E %11.3E%n", - ix, iy, isol - ); - } - System.out.println(); - - } - - } - - } - - public static class MONITDUMMY extends D03RA.Abstract_D03RA_MONITR { - - public void eval() { - return; - } - - } - - public static int[] computeWkspaceLens(int maxlev, int npde, int maxpts) { - int lenrwk, leniwk, lenlwk; - - lenrwk = (2 * maxpts * npde * ((5 * maxlev) + (18 * npde) + 9)) - + (2 * maxpts); - leniwk = (2 * maxpts * (14 + (5 * maxlev))) - + (7 * maxlev) + 2; - lenlwk = (2 * maxpts) + 400; - - return new int[] {lenrwk, leniwk, lenlwk}; - - } - - public static void printStatistics(double ts, int[] iwk, int maxlev) { - int[] istats = new int[4]; - - System.out.printf(" Statistics:%n"); - System.out.printf(" Time = %8.4f%n", ts); - System.out.printf( - " Total number of accepted timesteps =%5d%n", iwk[0] - ); - System.out.printf( - " Total number of rejected timesteps =%5d%n", iwk[1] - ); - System.out.printf( - "%n" - + " Total number (rounded) of%n" - + " Residual Jacobian Newton Lin sys%n" - + " evals evals iters iters%n" - + " At level %n" - ); - - for (int j = 0; j < maxlev; j++) { - if (iwk[j + 2] != 0) { - int idx = 0; - for (int i = j+2; i <= j+2+(3*maxlev); i += maxlev) { - istats[idx++] = iwk[i]; - } - istats = roundStatisics(istats); - System.out.printf("%8d", j + 1); - for (int i = 0; i < 4; i++) { - System.out.printf("%10d", istats[i]); - } - System.out.printf("%n"); - } - } - - System.out.printf( - "%n" - + " Maximum number of %n" - + " Newton iters Lin sys iters %n" - + " At level %n" - ); - - for (int j = 0; j < maxlev; j++) { - if (iwk[j+2] != 0) { - System.out.printf("%8d", j+1); - System.out.printf("%14d", iwk[j+2+(4*maxlev)]); - System.out.printf("%14d", iwk[j+2+(5*maxlev)]); - System.out.printf("%n"); - } - } - System.out.println(); - - } - - public static int[] roundStatisics(int[] istat) { - double lt; - int k; - - lt = Math.log(10.0); - for (int i = 0; i < istat.length; i++) { - // istat = 0 leads to div by 0 error, doesn't need rounding anyway - if (istat[i] != 0) { - k = (int) (Math.log((double) istat[i]) / lt); - k = (int) Math.pow(10, k); - istat[i] = k * ((istat[i] + k/2)/k); - } - } - - return istat; - - } - -} diff --git a/simple_examples/int32/D03RBJE.java b/simple_examples/int32/D03RBJE.java deleted file mode 100644 index 9b1b482..0000000 --- a/simple_examples/int32/D03RBJE.java +++ /dev/null @@ -1,388 +0,0 @@ -import com.nag.routines.D03.D03RB; -import com.nag.routines.D03.D03RZ; -import java.util.Arrays; - -/** - * D03RB example program text. - * @author joed - */ -public class D03RBJE { - - public static final int ITRACE = -1; - public static final int NPDE = 2; - public static final double[] TWANT = {0.25, 1.0}; - - public static boolean do_monitr; - public static int print_stats = 0; - - public static BNDARY bndary = new BNDARY(); - public static INIDOM inidom = new INIDOM(); - public static MONITR monitr = new MONITR(); - public static PDEDEF pdedef = new PDEDEF(); - public static PDEIV pdeiv = new PDEIV(); - - public static void main(String[] args) { - D03RB d03rb = new D03RB(); - double tols, tolt, tout, ts; - int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, mxlev, npts; - boolean[] lwk; - double[] optr, rwk, dt = new double[3]; - int[] iwk, opti = new int[4]; - - System.out.println(" D03RBJ Example Program Results"); - - npts = 3000; - mxlev = 7; - - leniwk = 10 * npts * (5 * mxlev + 14) + 2 + 7 * mxlev; - lenlwk = 20 * npts; - lenrwk = 20 * (npts * NPDE * (5 * mxlev + 9 + 18 * NPDE) + 2 * npts); - - rwk = new double[lenrwk]; - iwk = new int[leniwk]; - lwk = new boolean[lenlwk]; - optr = new double[3 * NPDE]; - - // Specify that we are starting the integration in time - // (ind = 0 normally). - ind = 10; - - ts = 0.0; - dt[0] = 0.001; - dt[1] = 1.0E-7; - dt[2] = 0.0; - tols = 0.1; - tolt = 0.05; - opti[0] = mxlev; - maxlev = opti[0]; - Arrays.fill(opti, 1, 4, 0); - Arrays.fill(optr, 1.0); - - // Call main routine - for (int iout = 1; iout <= 2; iout++) { - do_monitr = (iout == 2); - tout = TWANT[iout - 1]; - - ifail = 0; - d03rb.eval( - NPDE, ts, tout, dt, tols, tolt, inidom, pdedef, bndary, pdeiv, - monitr, opti, optr, rwk, lenrwk, iwk, leniwk, lwk, lenlwk, - ITRACE, ind, ifail - ); - ind = d03rb.getIND(); - ifail = d03rb.getIFAIL(); - ts = d03rb.getTS(); - - if (print_stats != 0) { - System.out.printf(" Statistics:\n"); - System.out.printf(" Time = %8.4f\n", ts); - System.out.printf( - " Total number of accepted timesteps =%5d\n", iwk[0] - ); - System.out.printf( - " Total number of rejected timesteps =%5d\n", iwk[1] - ); - System.out.println( - " Total number of " - + " maximum number of " - ); - System.out.println( - " Residual Jacobian Newton Newton " - ); - System.out.println( - " evals evals iters iters " - ); - System.out.println(" Level "); - - maxlev = opti[0]; - for (int j = 0; j < maxlev; j++) { - if (iwk[j+2] != 0) { - System.out.printf( - "%4d%10d%10d%10d%10d\n", - j+1, - iwk[j + 2 + 0*maxlev], - iwk[j + 2 + 1*maxlev], - iwk[j + 2 + 2*maxlev], - iwk[j + 2 + 4*maxlev] - ); - } - } - System.out.println(); - - } - - } - - } - - public static class PDEIV extends D03RB.Abstract_D03RB_PDEIV { - - public void eval(int NPTS, int NPDE, double T, double[] X, double[] Y, double[] U) { - this.setNPTS(NPTS); - this.setNPDE(NPDE); - this.setT(T); - this.setX(X); - this.setY(Y); - this.setU(U); - this.eval(); - } - - public void eval() { - double eps = 0.001, a; - - for (int i = 1; i <= this.NPTS; i++) { - a = (4.0 * (this.Y[i-1] - this.X[i-1]) - this.T) / (32.0 * eps); - if (a <= 0.0) { - this.U[getIdx(i, 1, this.NPTS)] - = 0.75 - 0.25 / (1.0 + Math.exp(a)); - this.U[getIdx(i, 2, this.NPTS)] - = 0.75 + 0.25 / (1.0 + Math.exp(a)); - } - else { - a = -a; - this.U[getIdx(i, 1, this.NPTS)] - = 0.75 - 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); - this.U[getIdx(i, 2, this.NPTS)] - = 0.75 + 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); - } - } - - } - - } - - public static class INIDOM extends D03RB.Abstract_D03RB_INIDOM { - - public void eval() { - int ifail, leniwk; - int[] icold, ilbndd, irowd, lbndd, llbndd, lrowd; - int[] iwk = new int[122]; - String[] pgrid = new String[11]; - - for (int i = 0; i < 11; i++) { - pgrid[i] = " "; - } - - icold = new int[]{ - 0,1,2,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5, - 6,7,8,9,10,0,1,2,3,4,5,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4, - 5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,0,1,2,3,4, - 5,6,7,8,0,1,2,3,4,5,6,7,8 - }; - - ilbndd = new int[]{ - 1,2,3,4,1,4,1,2,3,4,3,4,1,2,12,23,34,41,14,41,12,23,34,41,43,14, - 21,32 - }; - - irowd = new int[]{0,1,2,3,4,5,6,7,8,9,10}; - - lbndd = new int[]{ - 2,4,15,26,37,46,57,68,79,88,98,99,100,101,102,103,104,96,86,85, - 84,83,82,70,59,48,39,28,17,6,8,9,10,11,12,13,18,29,40,49,60,72, - 73,74,75,76,77,67,56,45,36,25,33,32,42,52,53,43,1,97,105,87,81, - 3,7,71,78,14,31,51,54,34 - }; - - llbndd = new int[]{ - 1,2,11,18,19,24,31,37,42,48,53,55,56,58,59,60,61,62,63,64,65,66, - 67,68,69,70,71,72 - }; - - lrowd = new int[]{1,4,15,26,37,46,57,68,79,88,97}; - - this.NX = 11; - this.NY = 11; - - // Check MAXPTS against rough estimate of NPTS. - this.NPTS = this.NX * this.NY; - if (this.MAXPTS < this.NPTS) { - this.IERR = -1; - return; - } - - this.XMIN = 0.0; - this.YMIN = 0.0; - this.XMAX = 1.0; - this.YMAX = 1.0; - - this.NROWS = 11; - this.NPTS = 105; - this.NBNDS = 28; - this.NBPTS = 72; - - for (int i = 0; i < this.NROWS; i++) { - this.LROW[i] = lrowd[i]; - this.IROW[i] = irowd[i]; - } - - for (int i = 0; i < this.NBNDS; i++) { - this.LLBND[i] = llbndd[i]; - this.ILBND[i] = ilbndd[i]; - } - - for (int i = 0; i < this.NBPTS; i++) { - this.LBND[i] = lbndd[i]; - } - - for (int i = 0; i < this.NPTS; i++) { - this.ICOL[i] = icold[i]; - } - - } - - } - - public static class PDEDEF extends D03RB.Abstract_D03RB_PDEDEF { - - public void eval() { - - double eps = 1E-3; - int n = this.NPTS; // For concise getIdx calls - - for (int i = 1; i <= n; i++) { - this.RES[getIdx(i, 1, n)] - = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 1, n)] - - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 1, n)] - + eps * (this.UXX[getIdx(i, 1, n)] - + this.UYY[getIdx(i, 1, n)]); - this.RES[getIdx(i, 2, n)] - = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 2, n)] - - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 2, n)] - + eps * (this.UXX[getIdx(i, 2, n)] - + this.UYY[getIdx(i, 2, n)]); - this.RES[getIdx(i, 1, n)] - = this.UT[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; - this.RES[getIdx(i, 2, n)] - = this.UT[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; - } - - } - - } - - public static class BNDARY extends D03RB.Abstract_D03RB_BNDARY { - - public void eval() { - - double a, eps = 1E-3; - int i, n = this.NPTS; - - for (int k = this.LLBND[0]; k <= this.NBPTS; k++) { - i = this.LBND[k - 1]; - a = (-4.0 * this.X[i - 1] + 4.0 * this.Y[i - 1] - this.T) - / (32.0 * eps); - - if (a <= 0.0) { - this.RES[getIdx(i, 1, n)] - = 0.75 - 0.25 / (1.0 + Math.exp(a)); - this.RES[getIdx(i, 2, n)] - = 0.75 + 0.25 / (1.0 + Math.exp(a)); - } - else { - a = -a; - this.RES[getIdx(i, 1, n)] - = 0.75 - (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); - this.RES[getIdx(i, 2, n)] - = 0.75 + (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); - } - - this.RES[getIdx(i, 1, n)] - = this.U[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; - this.RES[getIdx(i, 2, n)] - = this.U[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; - - } - - } - - } - - public static class MONITR extends D03RB.Abstract_D03RB_MONITR { - - public void eval() { - - D03RZ d03rz = new D03RZ(); - double aprxU, exctU, aprxV, exctV; - int maxpts = 6000; - int ifail, ipsol, npts; - double[] uex = new double[105*2], x = new double[maxpts], - y = new double[maxpts]; - - for (int level = 0; level < this.NLEV; level++) { - - if (!this.TLAST) { - break; - } - - ipsol = this.LSOL[level]; - - // Get grid information - ifail = -1; - npts = 0; - d03rz.eval( - level + 1, this.NLEV, this.XMIN, this.YMIN, this.DXB, - this.DYB, this.LGRID, this.ISTRUC, npts, x, y, maxpts, - ifail - ); - ifail = d03rz.getIFAIL(); - npts = d03rz.getNPTS(); - - if (ifail != 0) { - this.IERR = 1; - break; - } - - // Skip printing? - if (!do_monitr || (level != 0)) { - continue; - } - - // Get exact solution - pdeiv.eval(npts, this.NPDE, this.T, x, y, uex); - - System.out.println(); - System.out.printf( - " Solution at every 2nd grid point in level %d at" - + " time %8.4f:\n\n", level + 1, this.T - ); - System.out.print( - " x y approx u exact u approx v" - + " exact v\n\n" - ); - - ipsol = this.LSOL[level]; - - for (int i = 0; i < npts; i += 2) { - aprxU = this.SOL[ipsol + i]; - exctU = uex[getIdx(i+1, 1, npts)]; - aprxV = this.SOL[ipsol + npts + i]; - exctV = uex[getIdx(i+1, 2, npts)]; - System.out.printf( - " %9.2f %9.2f %9.2f %9.2f %9.2f %9.2f\n", - x[i], y[i], aprxU, exctU, aprxV, exctV - ); - } - System.out.println(); - - } - - } - - } - - /** - * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based - * Java index. - * - *

    Fortran array definition: - * a(dimX, *) - * - *

    Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return ((y-1) * dimX) + (x-1); - } - -} diff --git a/simple_examples/int32/D05BAJE.java b/simple_examples/int32/D05BAJE.java deleted file mode 100644 index 7a8caf7..0000000 --- a/simple_examples/int32/D05BAJE.java +++ /dev/null @@ -1,111 +0,0 @@ -import com.nag.routines.D05.D05BA; -import com.nag.routines.X02.X02AJ; - -/** - * D05BAJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class D05BAJE{ - - /** - * D05BAJE main program - */ - public static void main(String[] args){ - double alim, h, hi, si, thresh, tlim, tol; - int ifail, iorder, lwk, nmesh = 6; - String method; - double[] errest, yn, work; - - errest = new double[nmesh]; - yn = new double[nmesh]; - - System.out.println("D05BAJ Example Program Results"); - - method = "A"; - iorder = 6; - alim = 0; - tlim = 20; - h = (tlim - alim) / (double) nmesh; - tol = 0.001; - X02AJ x02aj = new X02AJ(); - thresh = x02aj.eval(); - lwk = 10 * nmesh + 6; - work = new double[lwk]; - - //Loop until the supplied workspace is big enough - //breakflag used to exit loop - boolean breakflag = false; - while(true){ - ifail = 1; - - ck ck1 = new ck(); - cf cf1 = new cf(); - cg cg1 = new cg(); - - D05BA d05ba = new D05BA(ck1, cg1, cf1, method, iorder, alim, tlim, yn, errest, nmesh, - tol, thresh, work, lwk, ifail); - d05ba.eval(); - - //update - ifail = d05ba.getIFAIL(); - lwk = d05ba.getLWK(); - work = d05ba.getWORK(); - - switch(ifail){ - case 5: - lwk = (int) work[0]; - work = new double[lwk]; - break; - case 6: - lwk = (int) work[0]; - work = new double[lwk]; - break; - default: - breakflag = true; - } - - if(breakflag == true){ - break; - } - } - - if(ifail != 0){ - System.out.printf("D05BAJ exited with IFAIL = %d\n", ifail); - } - - System.out.println(); - System.out.printf("Size of workplace = %d\n", lwk); - System.out.printf("Tolerance = %.4e\n", tol); - System.out.println(); - System.out.print("T\tApprox. Sol.\tTrue Sol.\tEst. Error\tActual Error\n"); - for(int i = 0; i < nmesh; i++){ - hi = (double) (i + 1) * h; - si = sol(hi); - System.out.printf("%.2f\t%.5f\t\t%.5f\t\t%.5e\t%.5e\n", (alim + hi), yn[i], si, errest[i], Math.abs((yn[i] - si) / si)); - } - } - - private static double sol(double t){ - return Math.log(t + Math.exp(1)); - } - - public static class ck extends D05BA.Abstract_D05BA_CK{ - public double eval(){ - return Math.exp(-this.T); - } - } - - public static class cf extends D05BA.Abstract_D05BA_CF{ - public double eval(){ - return Math.exp(-this.T); - } - } - - public static class cg extends D05BA.Abstract_D05BA_CG{ - public double eval(){ - return (this.Y + Math.exp(-this.Y)); - } - } -} - diff --git a/simple_examples/int32/D05BEJE.java b/simple_examples/int32/D05BEJE.java deleted file mode 100644 index f98bea3..0000000 --- a/simple_examples/int32/D05BEJE.java +++ /dev/null @@ -1,185 +0,0 @@ -import com.nag.routines.D05.D05BE; -import com.nag.routines.X01.X01AA; -import com.nag.routines.X02.X02AJ; - -/** - * D05BEJ example program text. - * @author willa - */ -public class D05BEJE{ - - private static final int iorder = 4; - private static final int nmesh = (int)(Math.pow(2, 6) + (2 * iorder) - 1); - private static final int nout = 6; - private static final int lct = nmesh / 32 + 1; - private static final int lwk = ((2 * iorder) + 6) * nmesh + (8 * iorder * iorder) - (16 * iorder) + 1; - - public static void main(String[] args){ - double err, errmax, h, hi1, soln = 0, t = 0, tlim, tolnl; - int ifail; - double[] work, yn; - int[] nct; - - work = new double[lwk]; - yn = new double[nmesh]; - nct = new int[lct]; - - System.out.println("D05BEJ Example Program Results"); - - X02AJ x02aj = new X02AJ(); - tlim = 7; - tolnl = Math.sqrt(x02aj.eval()); - h = tlim /(double) (nmesh - 1); - yn[0] = 0; - - ifail = 0; - - D05BE d05be = new D05BE(); - ck1 k1 = new ck1(); - cf1 f1 = new cf1(); - cg1 g1 = new cg1(); - d05be.eval(k1, f1, g1, "Initial", iorder, tlim, tolnl, nmesh, yn, work, lwk, nct, ifail); - - //UPDATE - yn = d05be.getYN(); - - System.out.println(); - System.out.println("Example 1"); - System.out.println(); - System.out.printf("The stepsize h = %.4f\n", h); - System.out.println(); - System.out.println("\tT\tApproximate"); - System.out.println("\t\tSolution"); - System.out.println(); - - errmax = 0; - - for(int i = 1; i < nmesh; i++){ - hi1 = (double) i * h; - err = Math.abs(yn[i] - sol1(hi1)); - - if(err > errmax){ - errmax = err; - t = hi1; - soln = yn[i]; - } - - if((i > 4) && (i % 5 == 0)){ - System.out.printf("\t%.4f\t%.4f\n", hi1, yn[i]); - } - } - - System.out.println(); - System.out.printf("The maximum absolute error, %.2e, occured at T = %.4f with solution %.4f\n", errmax, t, soln); - System.out.println(); - - tlim = 5; - h = tlim /(double) (nmesh - 1); - yn[0] = 1; - - ifail = 0; - - ck2 k2 = new ck2(); - cf2 f2 = new cf2(); - cg2 g2 = new cg2(); - d05be.eval(k2, f2, g2, "Subsequent", iorder, tlim, tolnl, nmesh, yn, work, lwk, nct, ifail); - - //UPDATE - yn = d05be.getYN(); - - System.out.println(); - System.out.println("Example 2"); - System.out.println(); - System.out.printf("The stepsize h = %.4f\n", h); - System.out.println(); - System.out.println("\tT\tApproximate"); - System.out.println("\t\tSolution"); - System.out.println(); - - errmax = 0; - - for(int i = 0; i < nmesh; i++){ - hi1 = (double) i * h; - err = Math.abs(yn[i] - sol2(hi1)); - if(err > errmax){ - errmax = err; - t = hi1; - soln = yn[i]; - } - - if((i > 6) && (i % 7 == 0)){ - System.out.printf("\t%.4f\t%.4f\n", hi1, yn[i]); - } - } - - System.out.println(); - System.out.printf("The maximum absolute error, %.2e, occured at T = %.4f with solution %.4f\n", errmax, t, soln); - } - - private static double sol1(double t){ - double c, pi, t1, x = 0; - - //x is dummy variable - X01AA x01aa = new X01AA(x); - pi = x01aa.eval(); - - t1 = 1 + t; - c = 1 / Math.sqrt(2 * pi); - - return (c * (1 / Math.pow(t, 1.5)) * Math.exp((-t1 * t1) / (2 * t))); - } - - private static double sol2(double t){ - return (1 / (1 + t)); - } - - private static class ck1 extends D05BE.Abstract_D05BE_CK{ - public double eval(){ - return (Math.exp(-0.5 * this.T)); - } - } - - private static class ck2 extends D05BE.Abstract_D05BE_CK{ - double pi, x = 0; - - public double eval(){ - X01AA x01aa = new X01AA(x); - pi = x01aa.eval(); - return Math.sqrt(pi); - } - } - - private static class cf1 extends D05BE.Abstract_D05BE_CF{ - double a, pi, t1, x = 0; - - public double eval(){ - X01AA x01aa = new X01AA(x); - pi = x01aa.eval(); - - t1 = 1 + this.T; - a = 1 / Math.sqrt(pi * this.T); - return (-a * Math.exp((-0.5 * t1 * t1) / this.T)); - } - } - - private static class cf2 extends D05BE.Abstract_D05BE_CF{ - double st1; - - public double eval(){ - st1 = Math.sqrt(1 + this.T); - return ((-2 * Math.log(st1 + Math.sqrt(this.T))) / st1); - } - } - - private static class cg1 extends D05BE.Abstract_D05BE_CG{ - public double eval(){ - return this.Y; - } - } - - private static class cg2 extends D05BE.Abstract_D05BE_CG{ - public double eval(){ - return this.Y; - } - } -} diff --git a/simple_examples/int32/DTFSMJE.java b/simple_examples/int32/DTFSMJE.java deleted file mode 100644 index a88b114..0000000 --- a/simple_examples/int32/DTFSMJE.java +++ /dev/null @@ -1,54 +0,0 @@ -import com.nag.routines.F01.DTRTTF; -import com.nag.routines.F06.DTFSM; -import com.nag.routines.X04.X04CA; - -/** - * DTFSM example program text. Adapted from f06wbfe.f90 - * @author joed - */ -public class DTFSMJE { - - public static void main(String[] args) { - - double alpha = 4.21; - int ifail = 0, info = 0, m = 6, n = 4; - String side = "L", trans = "N", transr = "N", uplo = "L"; - DTFSM dtfsm = new DTFSM(); - DTRTTF dtrttf = new DTRTTF(); - X04CA x04ca = new X04CA(); - - System.out.println(" DTFSMJ Example Program Results\n"); - - // Set lower triangle of matrix A - double[] a = new double[m*m]; - for (int i = 0; i < m; i++) { - for (int j = 0; j < m; j++) { - a[i*m+j] = (j >= i) ? j+1 : 0; - } - } - - // Set matrix B - double[] b = new double[] { - 3.22, 1.64, 1.87, 5.20, 1.83, -1.10, - 1.37, 1.80, 2.87, -2.99, -2.71, -0.63, - 2.31, 0.38, 2.02, -0.91, -2.81, -0.50, - 0.29, -1.52, -0.80, -3.87, -1.13, 0.81 - }; - - // Convert A to rectangular full packed storage in ar - double[] ar = new double[(m*(m+1))/2]; - info = 0; - dtrttf.eval(transr, uplo, m, a, m, ar, info); - info = dtrttf.getINFO(); - - // Perform the matrix-matrix operation - dtfsm.eval(transr, side, uplo, trans, "N", m, n, alpha, ar, b, m); - - // Print result - ifail = 0; - x04ca.eval("General", " ", m, n, b, m, "The Solution", ifail); - ifail = x04ca.getIFAIL(); - - } - -} diff --git a/simple_examples/int32/E01DAJE.java b/simple_examples/int32/E01DAJE.java deleted file mode 100644 index 10c008f..0000000 --- a/simple_examples/int32/E01DAJE.java +++ /dev/null @@ -1,182 +0,0 @@ -import com.nag.routines.E01.E01DA; -import com.nag.routines.E02.E02DF; - -/** - * E01DA example program text. - */ -public class E01DAJE { - - public static void main(String[] args) { - - int mx = 7, my = 6, ifail = -1; - double[] x = new double[mx]; - double[] y = new double[my]; - double[] f = new double[mx*my]; - double[] lamda = new double[mx+4]; - double[] mu = new double[my+4]; - double[] c = new double[mx*my]; - double[] wrk = new double[(mx+6)*(my+6)]; - - int nx = 6, ny = 6, px = 0, py = 0; - double xlo = 1.0, xhi = 2.0; - double ylo = 0.0, yhi = 1.0; - - E01DA e01da = new E01DA(); - - // Input X, Y and function values on X-Y grid - x[0] = 1.00; - x[1] = 1.10; - x[2] = 1.30; - x[3] = 1.50; - x[4] = 1.60; - x[5] = 1.80; - x[6] = 2.00; - - y[0] = 0.00; - y[1] = 0.10; - y[2] = 0.40; - y[3] = 0.70; - y[4] = 0.90; - y[5] = 1.00; - - // On entry: F[my*(q-1)+r-1] must contain f(q,r), for q=1,2,...,mx - // and r=1,2,...,my. - f[0] = 1.00; - f[1] = 1.10; - f[2] = 1.40; - f[3] = 1.70; - f[4] = 1.90; - f[5] = 2.00; - f[6] = 1.21; - f[7] = 1.31; - f[8] = 1.61; - f[9] = 1.91; - f[10] = 2.11; - f[11] = 2.21; - f[12] = 1.69; - f[13] = 1.79; - f[14] = 2.09; - f[15] = 2.39; - f[16] = 2.59; - f[17] = 2.69; - f[18] = 2.25; - f[19] = 2.35; - f[20] = 2.65; - f[21] = 2.95; - f[22] = 3.15; - f[23] = 3.25; - f[24] = 2.56; - f[25] = 2.66; - f[26] = 2.96; - f[27] = 3.26; - f[28] = 3.46; - f[29] = 3.56; - f[30] = 3.24; - f[31] = 3.34; - f[32] = 3.64; - f[33] = 3.94; - f[34] = 4.14; - f[35] = 4.24; - f[36] = 4.00; - f[37] = 4.10; - f[38] = 4.40; - f[39] = 4.70; - f[40] = 4.90; - f[41] = 5.00; - - System.out.printf(" E01DAJ Example Program Results\n\n"); - e01da.eval(mx, my, x, y, f, px, py, lamda, mu, c, wrk, ifail); - - ifail = e01da.getIFAIL(); - switch (ifail) { - case 0: - System.out.printf(" I Knot LAMDA(I) J Knot MU(j)\n"); - for (int i = 3; i <= Math.max(mx,my); ++i) { - if (i <= mx) { - System.out.printf("%4d %9.4f", i+1, lamda[i]); - } - else { - System.out.printf(" "); - } - if (i <= my) { - System.out.printf("%8d %9.4f\n", i+1, mu[i]); - } - else { - System.out.printf("\n"); - } - } - System.out.printf("\n The B-Spline coefficients:\n"); - for (int i = 0; i < mx*my; ++i) { - System.out.printf("%9.4f", c[i]); - if ((i+1)%8 == 0) { - System.out.printf("\n"); - } - } - System.out.printf("\n"); - break; - default: - System.out.printf("\n Error detected by E01DA: %d\n", ifail); - } - - /* Evaluate the spline on a regular rectangular grid at nx*ny points - over the domain [xlo,xhi] x [ylo,yhi]. */ - px = e01da.getPX(); - py = e01da.getPY(); - int liwrk; - int lwrk = Math.min(4*nx+px, 4*ny+py); - if (4*nx+px > 4*ny+py) { - liwrk = ny + py - 4; - } - else { - liwrk = nx + px - 4; - } - double[] tx = new double[nx]; - double[] ty = new double[ny]; - double[] ff = new double[nx*ny]; - wrk = new double[lwrk]; - int[] iwrk = new int[liwrk]; - - /* Generate nx/ny equispaced x/y co-ordinates */ - double step = (xhi-xlo)/(nx-1); - tx[0] = xlo; - for (int i = 1; i < nx-1; i++) { - tx[i] = tx[i-1] + step; - } - tx[nx-1] = xhi; - - step = (yhi-ylo)/(ny-1); - ty[0] = ylo; - for (int i = 1; i < ny-1; i++) { - ty[i] = ty[i-1] + step; - } - ty[ny-1] = yhi; - - /* Evaluate the spline. */ - E02DF e02df = new E02DF(); - ifail = 0; - e02df.eval(nx,ny,px,py,tx,ty,lamda,mu,c,ff,wrk,lwrk,iwrk,liwrk,ifail); - - ifail = e02df.getIFAIL(); - switch (ifail) { - case 0: - System.out.printf("\n Spline evaluated on a regular mesh (X across, Y down):\n"); - System.out.printf(" "); - for (int i = 0; i < nx; ++i) { - System.out.printf(" %5.2f ", tx[i]); - } - System.out.printf("\n"); - for (int i = 0; i < ny; ++i) { - System.out.printf(" %5.2f ", ty[i]); - for (int j = 0; j < nx; ++j) { - System.out.printf(" %8.3f", ff[ny*j+i]); - } - System.out.printf("\n"); - } - break; - default: - System.out.printf("\n Error detected by E02DF: %d\n", ifail); - } - - } - -} diff --git a/simple_examples/int32/E02ALJE.java b/simple_examples/int32/E02ALJE.java deleted file mode 100644 index 372f125..0000000 --- a/simple_examples/int32/E02ALJE.java +++ /dev/null @@ -1,101 +0,0 @@ -import com.nag.routines.E02.E02AL; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * E02ALJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class E02ALJE{ - - /** - * E02ALJ Example main program - */ - public static void main(String[] args){ - double dxx, ref = 0, s, t, xx; - int ifail, n = 0, m = 0, neval = 0; //placeholders - double[] a, x, y; - - a = new double[0]; - x = new double[0]; - y = new double[0]; //placeholders - - System.out.println("E02ALJ Example Program Results"); - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[1]); - m = Integer.parseInt(sVal[2]); - neval = Integer.parseInt(sVal[3]); - - a = new double[m + 1]; - x = new double[n]; - y = new double[n]; - - for(int i = 0; i < n; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - x[i] = Double.parseDouble(sVal[1]); - y[i] = Double.parseDouble(sVal[2]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - System.exit(-2); - } - - ifail = 0; - E02AL e02al = new E02AL(n, x, y, m, a, ref, ifail); - e02al.eval(); - - //update - ref = e02al.getREF(); - x = e02al.getX(); - y = e02al.getY(); - - - System.out.println(); - System.out.printf(" Polynomial coefficients\n"); - for(int i = 0; i <= m; i++){ - System.out.printf("\t%.4e\n", a[i]); - } - System.out.println(); - System.out.printf(" Reference deviation = %.2e\n", ref); - System.out.println(); - System.out.printf("\tX\tFit\texp(x)\tResidual\n"); - - dxx = 1/(double)(neval - 1); - - for(int j = 0; j < neval; j++){ - xx = (double) j * dxx; - - s = a[m]; - - for(int i = m - 1; i >=0; i--){ - s = s * xx + a[i]; - } - - t = Math.exp(xx); - System.out.printf("\t%.2f\t%.4f\t%.4f\t%.2e\n", xx, s, t, (s - t)); - } - } -} - diff --git a/simple_examples/int32/E04ABJE.java b/simple_examples/int32/E04ABJE.java deleted file mode 100644 index 773f1ff..0000000 --- a/simple_examples/int32/E04ABJE.java +++ /dev/null @@ -1,76 +0,0 @@ -import com.nag.routines.E04.E04AB; - -/** - * E04ABJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class E04ABJE{ - - /** - * E04ABJE main program - */ - public static void main(String[] args){ - double a, b, e1, e2, f = 0, x = 0; //placeholders - int ifail, maxcal; - double[] ruser; - int[] iuser; - - ruser = new double[1]; - iuser = new int[1]; - - System.out.println("E04ABJ Example Program Results"); - - //e1 and e2 are set to zero so that E04ABA will reset them to their default values - - e1 = 0; - e2 = 0; - - //The minimum is known to lie in the range (3.5, 5.0) - - a = 3.5; - b = 5.0; - - //Allow 30 calls of FUNCT - - maxcal = 30; - - ifail = -1; - funct funct1 = new funct(); - E04AB e04ab = new E04AB(funct1, e1, e2, a, b, maxcal, x, f, iuser, ruser, ifail); - e04ab.eval(); - - //update - ifail = e04ab.getIFAIL(); - a = e04ab.getA(); - b = e04ab.getB(); - x = e04ab.getX(); - f = e04ab.getF(); - maxcal = e04ab.getMAXCAL(); - - switch(ifail){ - case 0: - System.out.println(); - System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); - System.out.printf("Its estimated position is %.8f,\n", x); - System.out.printf("where the function value is %.4f\n", f); - System.out.printf("%d function evaluations were required\n", maxcal); - break; - case 2: - System.out.println(); - System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); - System.out.printf("Its estimated position is %.8f,\n", x); - System.out.printf("where the function value is %.4f\n", f); - System.out.printf("%d function evaluations were required\n", maxcal); - break; - default: - break; - } - } - - public static class funct extends E04AB.Abstract_E04AB_FUNCT{ - public void eval(){ - FC = Math.sin(this.XC) / this.XC; - } - } -} diff --git a/simple_examples/int32/E04BBJE.java b/simple_examples/int32/E04BBJE.java deleted file mode 100644 index d7032f5..0000000 --- a/simple_examples/int32/E04BBJE.java +++ /dev/null @@ -1,81 +0,0 @@ -import com.nag.routines.E04.E04BB; - -/** - * E04BBJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class E04BBJE{ - - /** - * E04BBJE main program - */ - public static void main(String[] args){ - double a, b, e1, e2, f = 0, g = 0, x = 0; //placeholders - int ifail, maxcal; - double[] ruser; - int[] iuser; - - ruser = new double[1]; - iuser = new int[1]; - - System.out.println("E04BBJ Example Program Results"); - - //e1 and e2 are set to zero so that E04BBA will reset them to their default values - - e1 = 0; - e2 = 0; - - //The minimum is known to lie in the range (3.5, 5.0) - - a = 3.5; - b = 5.0; - - //Allow 30 calls of FUNCT - - maxcal = 30; - - ifail = -1; - funct funct1 = new funct(); - E04BB e04bb = new E04BB(funct1, e1, e2, a, b, maxcal, x, f, g, iuser, ruser, ifail); - e04bb.eval(); - - //update - a = e04bb.getA(); - b = e04bb.getB(); - maxcal = e04bb.getMAXCAL(); - x = e04bb.getX(); - f = e04bb.getF(); - g = e04bb.getG(); - ifail = e04bb.getIFAIL(); - - switch(ifail){ - case 0: - System.out.println(); - System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); - System.out.printf("Its estimated position is %.8f,\n", x); - System.out.printf("where the function value is %.4f\n", f); - System.out.printf("and the gradient is %.1e (machine dependent)\n", g); - System.out.printf("%d function evaluations were required\n", maxcal); - break; - case 2: - System.out.println(); - System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); - System.out.printf("Its estimated position is %.8f,\n", x); - System.out.printf("where the function value is %.4f\n", f); - System.out.printf("and the gradient is %.1e (machine dependent)\n", g); - System.out.printf("%d function evaluations were required\n", maxcal); - break; - default: - break; - } - } - - public static class funct extends E04BB.Abstract_E04BB_FUNCT{ - public void eval(){ - this.FC = Math.sin(this.XC) / this.XC; - this.GC = (Math.cos(this.XC) - this.FC)/this.XC; - } - } -} - diff --git a/simple_examples/int32/E04CBJE.java b/simple_examples/int32/E04CBJE.java deleted file mode 100644 index fbde674..0000000 --- a/simple_examples/int32/E04CBJE.java +++ /dev/null @@ -1,90 +0,0 @@ -import com.nag.routines.E04.E04CB; -import com.nag.routines.E04.E04CBK; -import com.nag.routines.X02.X02AJ; - -/** - * E04CBJ Example Program text - * @author willa - * @since 27.1.0.0 - */ -public class E04CBJE{ - - /** - * E04CBJE main program - */ - public static void main(String[] args){ - int n = 2, ifail, maxcal; - double f = 0, tolf, tolx; //placeholders - boolean monitoring; - int[] iuser; - double[] ruser, x; - - iuser = new int[1]; - ruser = new double[1]; - x = new double[n]; - - System.out.println("E04CBJ Example Program Results"); - - //Set monitoring to true to obtain monitoring information - monitoring = false; - - x[0] = -1.0; - x[1] = 1.0; - X02AJ x02aj = new X02AJ(); - tolf = Math.sqrt(x02aj.eval()); - tolx = Math.sqrt(tolf); - maxcal = 100; - - ifail = 0; - - funct funct1 = new funct(); - if(!monitoring){ - defMonit monit = new defMonit(); - E04CB e04cb = new E04CB(n, x, f, tolf, tolx, funct1, monit, maxcal, iuser, ruser, ifail); - e04cb.eval(); - } - else{ - myMonit monit = new myMonit(); - E04CB e04cb = new E04CB(n, x, f, tolf, tolx, funct1, monit, maxcal, iuser, ruser, ifail); - e04cb.eval(); - } - - System.out.println(); - System.out.printf("The final function value is \t%.4f\n", f); - System.out.printf("at the point\t"); - for(int i = 0; i < n; i++){ - System.out.printf("%.4f\t", x[i]); - } - System.out.printf("\n"); - } - - public static class funct extends E04CB.Abstract_E04CB_FUNCT{ - public void eval(){ - this.FC = Math.exp(this.XC[0]) * ((4 * this.XC[0] * (this.XC[0] + this.XC[1])) + (2 * this.XC[1] * (this.XC[1] + 1) + 1)); - } - } - - public static class myMonit extends E04CB.Abstract_E04CB_MONIT{ - public void eval(){ - System.out.println(); - System.out.printf("There have been %d function calls\n", this.NCALL); - System.out.printf("The smallest function value is %.4f\n", this.FMIN); - System.out.printf("The simplex is\n"); - for(int i = 0; i <= this.N; i++){ - for(int j = 0; j < this.N; j++){ - System.out.printf("%.4f\t", this.SIM[(j * (this.N + 1)) + i]); - } - System.out.printf("\n"); - } - System.out.printf("The standard deviation in function values of the vertices of the simplex is %.4f\n", this.SERROR); - System.out.printf("The linearized volume ratio of the current simplex to the starting one is %.4f\n", this.VRATIO); - } - } - - //This is how to use NAG supplied function as argument - public static class defMonit extends E04CBK implements E04CB.E04CB_MONIT{ - public void eval(){ - super.eval(); - } - } -} diff --git a/simple_examples/int32/E04FCJE.java b/simple_examples/int32/E04FCJE.java deleted file mode 100644 index 939f68d..0000000 --- a/simple_examples/int32/E04FCJE.java +++ /dev/null @@ -1,420 +0,0 @@ -import com.nag.routines.E04.E04FC; -import com.nag.routines.F06.DDOT; -import com.nag.routines.F06.DGEMV; -import com.nag.routines.X02.X02AJ; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.IOException; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * E04FC example program text. - * @author ludovic - */ -public class E04FCJE { - - public static void main(String[] args) { - - BufferedReader dataIn = null; - - try { - E04FC e04fc = new E04FC(); - System.out.println(" E04FCJ Example Program Results"); - dataIn = new BufferedReader(new FileReader(args[0])); - //skip header - dataIn.readLine(); - - int inc1 = 1, liw = 1, m, ldfjac = m = 15, n, ldv = n = 3, nt = 3, - lw = 6 * n + m * n + 2 * m + n * (n - 1) / 2; - String trans = "T"; - - double eta, fsumsq, stepmx, xtol; - eta = fsumsq = stepmx = xtol = Double.NaN; - int ifail, iprint, maxcal, nf, niter; - ifail = iprint = maxcal = nf = niter = 0; - double[] fjac = new double[m * n], - fvec = new double[m], - g = new double[n], - s = new double[n], - v = new double[ldv * n], - w = new double[lw], - x = new double[n], - y = new double[m], - t = new double[m * nt]; - - - int[] iw = new int[liw]; - - for (int i = 0; i < m; ++i) { - String[] line = dataIn.readLine().trim().split("\\s+"); - if (line.length != nt + 1) { - System.err.println("Error in data file - only " + line.length - + " records at line " + (i + 2) + " while expecting " + (nt + 1) - + " elements"); - System.exit(1); - } - y[i] = Double.parseDouble(line[0].replaceAll("D", "E")); // java doesn't know the D format - for (int j = 1; j <= nt; ++j) { - t[i + (j - 1) * m] = Double.parseDouble(line[j].replaceAll("D", "E")); - } - } - - // Set IPRINT to 1 to obtain output from LSQMON at each iteration - iprint = -1; - - maxcal = 400 * n; - eta = 0.5; - xtol = 10.0 * Math.sqrt((new X02AJ()).eval()); - - // We estimate that the minimum will be within 10 units of the starting point - stepmx = 10.0; - - // Set up the starting point - x[0] = 0.5; - x[1] = 1.0; - x[2] = 1.5; - - ifail = -1; - - LSQFUN lsqfun = new LSQFUN(); - lsqfun.t = t; - lsqfun.y = y; - LSQMON lsqmon = new LSQMON(); - - e04fc.eval(m, n, lsqfun, lsqmon, iprint, maxcal, eta, xtol, stepmx, x, fsumsq, - fvec, fjac, ldfjac, s, v, ldv, niter, nf, iw, liw, w, lw, ifail); - - ifail = e04fc.getIFAIL(); - - - switch (ifail) { - case (1): - System.err.println("Unexpected ifail = " + ifail); - break; - default: - System.out.println(); - System.out.printf(" On exit, the sum of squares is %12.4f\n", e04fc.getFSUMSQ()); - System.out.printf(" at the point %12.4f %12.4f %12.4f\n", x[0], x[1], x[2]); - lsqgrd(m, n, fvec, fjac, ldfjac, g); - System.out.print(" The estimated gradient is "); - for (int i = 0; i < n; ++i) { - System.out.printf(" %12.3e\t", g[i]); - } - System.out.println(); - System.out.println(" (machine dependent)"); - System.out.println(" and the residuals are"); - for (int i = 0; i < m; ++i) { - System.out.printf(" %9.1e\n", fvec[i]); - } - } - - - - } - catch (Exception ex) { - Logger.getLogger(E04FCJE.class.getName()).log(Level.SEVERE, null, ex); - } - finally { - try { - dataIn.close(); - } - catch (IOException ex) { - Logger.getLogger(E04FCJE.class.getName()).log(Level.SEVERE, null, ex); - } - } - - - } - - public static void lsqgrd(int m, int n, double[] fvec, double[] fjac, int ldfjac, double[] g) { - DGEMV dgemv = new DGEMV("T", m, n, 1.0, fjac, ldfjac, fvec, 1, 0.0, g, 1); - dgemv.eval(); - for (int i = 0; i < g.length; ++i) { - g[i] = 2.0 * g[i]; - } - } - - public static class LSQFUN implements E04FC.E04FC_LSQFUN { - - public double[] t, y; - int IFLAG, M, N, LW, LIW; - double[] XC, FVEC, W; - int[] IW; - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void setM(int M) { - this.M = M; - } - - @Override - public int getM() { - return M; - } - - @Override - public void setN(int N) { - this.N = N; - } - - @Override - public int getN() { - return N; - } - - @Override - public void setXC(double[] XC) { - this.XC = XC; - } - - @Override - public double[] getXC() { - return XC; - } - - @Override - public void setFVEC(double[] FVEC) { - this.FVEC = FVEC; - } - - @Override - public double[] getFVEC() { - return FVEC; - } - - @Override - public void setIW(int[] IW) { - this.IW = IW; - } - - @Override - public int[] getIW() { - return IW; - } - - @Override - public void setLIW(int LIW) { - this.LIW = LIW; - } - - @Override - public int getLIW() { - return LIW; - } - - @Override - public void setW(double[] W) { - this.W = W; - } - - @Override - public double[] getW() { - return W; - } - - @Override - public void setLW(int LW) { - this.LW = LW; - } - - @Override - public int getLW() { - return LW; - } - - @Override - public void eval(int IFLAG, int M, int N, double[] XC, double[] FVEC, - int[] IW, int LIW, double[] W, int LW) { - for (int i = 0; i < M; ++i) { - FVEC[i] = XC[0] + t[i] / (XC[1] * t[i + M] + XC[2] * t[i + 2 * M]) - y[i]; - } - } - - } - - public static class LSQMON implements E04FC.E04FC_LSQMON { - - int M, N, LDFJAC, NITER, NF, IGRADE, LIW, LW; - int[] IW; - double[] XC, FVEC, FJAC, S, W; - - @Override - public void setM(int M) { - this.M = M; - } - - @Override - public int getM() { - return M; - } - - @Override - public void setN(int N) { - this.N = N; - } - - @Override - public int getN() { - return N; - } - - @Override - public void setXC(double[] XC) { - this.XC = XC; - } - - @Override - public double[] getXC() { - return XC; - } - - @Override - public void setFVEC(double[] FVEC) { - this.FVEC = FVEC; - } - - @Override - public double[] getFVEC() { - return FVEC; - } - - @Override - public void setFJAC(double[] FJAC) { - this.FJAC = FJAC; - } - - @Override - public double[] getFJAC() { - return FJAC; - } - - @Override - public void setLDFJAC(int LDFJAC) { - this.LDFJAC = LDFJAC; - } - - @Override - public int getLDFJAC() { - return LDFJAC; - } - - @Override - public void setS(double[] S) { - this.S = S; - } - - @Override - public double[] getS() { - return S; - } - - @Override - public void setIGRADE(int IGRADE) { - this.IGRADE = IGRADE; - } - - @Override - public int getIGRADE() { - return IGRADE; - } - - @Override - public void setNITER(int NITER) { - this.NITER = NITER; - } - - @Override - public int getNITER() { - return NITER; - } - - @Override - public void setNF(int NF) { - this.NF = NF; - } - - @Override - public int getNF() { - return NF; - } - - @Override - public void setIW(int[] IW) { - this.IW = IW; - } - - @Override - public int[] getIW() { - return IW; - } - - @Override - public void setLIW(int LIW) { - this.LIW = LIW; - } - - @Override - public int getLIW() { - return LIW; - } - - @Override - public void setW(double[] W) { - this.W = W; - } - - @Override - public double[] getW() { - return W; - } - - @Override - public void setLW(int LW) { - this.LW = LW; - } - - @Override - public int getLW() { - return LW; - } - - @Override - public void eval(int M, int N, double[] XC, double[] FVEC, double[] FJAC, - int LDFJAC, double[] S, int IGRADE, int NITER, int NF, int[] IW, - int LIW, double[] W, int LW) { - - int ndec = 3; - double fsumsq, gtg; - double[] g = new double[ndec]; - DDOT ddot = new DDOT(M, FVEC, 1, FVEC, 1); - fsumsq = ddot.eval(); - - lsqgrd(M, N, FVEC, FJAC, LDFJAC, g); - - gtg = ddot.eval(N, g, 1, g, 1); - // 99998 Format (1X,1P,E13.5,10X,1P,E9.1,10X,1P,E9.1) - System.out.println(); - System.out.println(" Itn F evals SUMSQ GTG Grade"); - System.out.printf(" %4d %5d %13.5e %9.1e %3d\n", - NITER, NF, fsumsq, gtg, IGRADE); - System.out.println(); - System.out.println(" X G Singular values"); - for (int j = 0; j < N; ++j) { - System.out.printf(" %13.5e %9.1e %9.1e\n",XC[j], g[j], S[j]); - } - - } - - } - -} diff --git a/simple_examples/int32/E04FFJE.java b/simple_examples/int32/E04FFJE.java deleted file mode 100644 index ad81e32..0000000 --- a/simple_examples/int32/E04FFJE.java +++ /dev/null @@ -1,140 +0,0 @@ -import com.nag.routines.E04.E04FF; -import com.nag.routines.E04.E04FFU; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RH; -import com.nag.routines.E04.E04RM; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04ZM; -import java.util.Arrays; - -/** - * E04FF example program text. - * @author joed - */ -public class E04FFJE { - - public static void main(String[] args) { - double infbnd = 1.0e20; - double[] lx, rx, ux, x, ruser, pdy, pdz; - double[] rinfo = new double[100], stats = new double[100]; - int ifail, isparse, nnzrd, nres, nvar, pdny, pdnz; - int[] iuser; - int[] icolrd = new int[1], irowrd = new int[1]; - long cpuser, handle; // c_ptr - MONIT monit = new MONIT(); - OBJFUN objfun = new OBJFUN(); - - /* Header */ - System.out.printf(" E04FFJ Example Program Results\n\n"); - - /* Fill problem data structure */ - pdny = 11; - pdnz = 11; - pdy = new double[] { - 4.0e0, 2.0e0, 1.0e0, 5.0e-1, 2.5e-1, 1.67e-1, 1.25e-1, 1.0e-1, - 8.33e-2, 7.14e-2, 6.25e-2 - }; - pdz = new double[] { - 1.957e-1, 1.947e-1, 1.735e-1, 1.6e-1, 8.44e-2, 6.27e-2, 4.56e-2, - 3.42e-2, 3.23e-2, 2.35e-2, 2.46e-2 - }; - nvar = 4; - nres = 11; - - /* Initialize handle */ - E04RA e04ra = new E04RA(); - handle = 0; - ifail = 0; // hard fail - e04ra.eval(handle, nvar, ifail); - handle = e04ra.getHANDLE(); - - /* Define residuals structure */ - E04RM e04rm = new E04RM(); - isparse = 0; // Dense => irowrd and icolrd are not accessed - nnzrd = 1; - ifail = 0; - e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); - - /* Set options */ - E04ZM e04zm = new E04ZM(); - ifail = 0; - e04zm.eval(handle, "DFLS Trust Region Tolerance = 5.0e-6", ifail); - ifail = 0; - e04zm.eval(handle, "Print Solution = YES", ifail); - - /* Define starting point */ - x = new double[] {0.25, 0.39, 0.415, 0.39}; - rx = new double[nres]; - - /* Define bounds for the second and the fourth variable */ - E04RH e04rh = new E04RH(); - lx = new double[] {-infbnd, 0.2, -infbnd, 0.3}; - ux = new double[] {infbnd, 1.0, infbnd, infbnd}; - ifail = 0; - e04rh.eval(handle, nvar, lx, ux, ifail); - - /* Call the solver */ - E04FF e04ff = new E04FF(); - ifail = -1; - iuser = new int[] {pdny, pdnz}; - ruser = new double[2 * nres]; - cpuser = 0L; - for (int i = 0; i < nres; i++) { - ruser[i] = pdy[i]; - ruser[nres + i] = pdz[i]; - } - e04ff.eval(handle, objfun, monit, nvar, x, nres, rx, rinfo, stats, - iuser, ruser, cpuser, ifail); - - /* Free handle memory */ - E04RZ e04rz = new E04RZ(); - ifail = 0; - e04rz.eval(handle, ifail); - - } - - public static class OBJFUN extends E04FF.Abstract_E04FF_OBJFUN { - - public void eval() { - int pdny, pdnz; - double r1, r2; - double[] pdy, pdz; - - /* Interrupt solver if the dimensions are incorrect */ - if (this.NRES != 11 || this.NVAR != 4) { - this.INFORM = -1; - return; - } - - /* Extract the problem data structure from the workspaces */ - pdny = this.IUSER[0]; - pdnz = this.IUSER[1]; - if (pdny != this.NRES || pdnz != this.NRES) { - this.INFORM = -1; - return; - } - pdy = Arrays.copyOfRange(this.RUSER, 0, pdny); - pdz = Arrays.copyOfRange(this.RUSER, pdny, pdny + pdnz); - - for (int i = 0; i < this.NRES; i++) { - r1 = pdy[i] * (pdy[i] + this.X[1]); - r2 = pdy[i] * (pdy[i] + this.X[2]) + this.X[3]; - this.RX[i] = pdz[i] - (this.X[0] * r1/r2); - } - - } - - } - - public static class MONIT extends E04FF.Abstract_E04FF_MONIT { - - public void eval() { - E04FFU e04ffu = new E04FFU(); - e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, - this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ffu.getINFORM(); - } - - } - -} diff --git a/simple_examples/int32/E04GBJE.java b/simple_examples/int32/E04GBJE.java deleted file mode 100644 index 7becf21..0000000 --- a/simple_examples/int32/E04GBJE.java +++ /dev/null @@ -1,183 +0,0 @@ -import com.nag.routines.A00.A00AA; -import com.nag.routines.E04.E04GB; -import com.nag.routines.E04.E04HEV; -import com.nag.routines.E04.E04YA; -import com.nag.routines.F06.DDOT; -import com.nag.routines.F06.F06PA; -import com.nag.routines.X02.X02AJ; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * E04GB example program text. - */ -public class E04GBJE { - - public static final int inc1 = 1, liw = 1, m = 15, n = 3, nt = 3; - public static final int ldfjac = m, ldv = n, lw = 7*n + m*n + 2*m + n*n; - public static final String trans = "T"; - public static double[] y; - public static double[] t; - - public static void main(String[] args) { - - double eta, fsumq = 0.0, stepmx, xtol; - int ifail, iprint, maxcal, nf = 0, niter = 0; - double[] fjac = new double[ldfjac * n]; - double[] fvec = new double[m]; - double[] g = new double[n]; - double[] s = new double[n]; - double[] v = new double[ldv * n]; - double[] w = new double[lw * n]; - double[] x = new double[n]; - int[] iw = new int[liw]; - - System.out.println(" E04GBJ Example Program Results"); - - // Data - y = new double[] { - 0.14, 0.18, 0.22, 0.25, 0.29, 0.32, 0.35, 0.39, 0.37, 0.58, 0.73, - 0.96, 1.34, 2.10, 4.39 - }; - - t = new double[m * nt]; - for (int i = 0; i < m; i++) { - t[i] = i + 1.0; - t[m + i] = 15.0 - i; - t[2*m + i] = -Math.abs(i - 7.0) + 8.0; - } - - // Check LSQFUN by calling E04YA at an arbitrary point - E04YA e04ya = new E04YA(); - LSQFUN lsqfun = new LSQFUN(); - x[0] = 0.19; - x[1] = -.34; - x[2] = 0.88; - ifail = 0; - e04ya.eval(m, n, lsqfun, x, fvec, fjac, ldfjac, iw, liw, w, lw, ifail); - - // Continue setting parameters for E04GB - E04GB e04gb = new E04GB(); - LSQMON lsqmon = new LSQMON(); - LSQLIN lsqlin = new LSQLIN(); - iprint = -1; // Set to 1 to obtain output from LSQMON at each iteration - maxcal = 50 * n; - eta = 0.09; // Since E04HEV is being used as LSQLIN - xtol = 10.0 * Math.sqrt((new X02AJ()).eval()); - stepmx = 10.0; - - // Set up the starting point - x[0] = 0.5; - x[1] = 1.0; - x[2] = 1.5; - - ifail = -1; - e04gb.eval(m, n, lsqlin, lsqfun, lsqmon, iprint, maxcal, eta, xtol, - stepmx, x, fsumq, fvec, fjac, ldfjac, s, v, ldv, niter, nf, iw, - liw, w, lw, ifail); - fsumq = e04gb.getFSUMSQ(); - x = e04gb.getX(); - ifail = e04gb.getIFAIL(); - - if (ifail == 0 || ifail >= 2) { - System.out.println(); - System.out.printf(" On exit, the sum of squares is %12.4f\n", fsumq); - System.out.printf(" at the point "); - for (int ii = 0; ii < n; ++ii) { - System.out.printf("%12.4f", x[ii]); - } - System.out.println(); - - lsqmon.lsqgrd(m, n, fvec, fjac, ldfjac, g); - - System.out.print(" The corresponding gradient is"); - for (int ii = 0; ii < n; ++ii) { - System.out.printf("%12.3E", g[ii]); - } - System.out.println(); - System.out.println(" (machine dependent)"); - System.out.println(" and the residuals are"); - for (int ii = 0; ii < m; ++ii) { - System.out.printf(" %9.1E\n", fvec[ii]); - } - System.out.println(); - } - - } - - /** Routine to evaluate the residuals and their 1st derivatives. */ - public static class LSQFUN extends E04GB.Abstract_E04GB_LSQFUN implements E04YA.E04YA_LSQFUN { - - public void eval() { - double denom, dummy; - - for (int i = 0; i < m; i++) { - denom = this.XC[1] * t[i + this.M] + this.XC[2] * t[i + 2*this.M]; - this.FVEC[i] = this.XC[0] + t[i] / denom - y[i]; - - if (this.IFLAG != 0) { - this.FJAC[i] = 1.0; - dummy = -1.0 / (denom * denom); - this.FJAC[i + ldfjac] = t[i] * t[i + this.M] * dummy; - this.FJAC[i + 2*ldfjac] = t[i] * t[i + 2*this.M] * dummy; - } - } - - } - - } - - public static class LSQMON extends E04GB.Abstract_E04GB_LSQMON { - - public static final int ndec = 3; - - /** Monitoring routine. */ - public void eval() { - double fsumsq, gtg; - double[] g = new double[ndec]; - DDOT ddot = new DDOT(); - - fsumsq = ddot.eval(this.M, this.FVEC, inc1, this.FVEC, inc1); - this.lsqgrd(this.M, this.N, this.FVEC, this.FJAC, this.LDFJAC, g); - gtg = ddot.eval(this.N, g, inc1, g, inc1); - - System.out.println(); - System.out.println(" Itn F evals SUMSQ GTG Grade"); - System.out.printf(" %4d %5d %13.5E %9.1E %3d\n", - this.NITER, this.NF, fsumsq, gtg, this.IGRADE); - System.out.println(); - System.out.println(" X G Singular values"); - for (int j = 0; j < n; j++) { - System.out.printf(" %13.5E %9.1E %9.1E\n", - this.XC[j], g[j], this.S[j]); - } - - } - - /** Routine to evaluate gradient of the sum of squares. */ - public void lsqgrd(int m, int n, double[] fvec, double[] fjac, int ldfjac, double[] g) { - F06PA f06pa = new F06PA(trans, m, n, 1.0, fjac, ldfjac, fvec, inc1, 0.0, g, inc1); - f06pa.eval(); - - for (int i = 0; i < n; ++i) { - g[i] = 2.0 * g[i]; - } - - } - - } - - /** Using E04HEV as LSQLIN. */ - private static class LSQLIN extends E04HEV implements E04GB.E04GB_LSQLIN { - - public void eval() { - super.eval(); - } - - } - -} diff --git a/simple_examples/int32/E04GGJE.java b/simple_examples/int32/E04GGJE.java deleted file mode 100644 index 8a18c6a..0000000 --- a/simple_examples/int32/E04GGJE.java +++ /dev/null @@ -1,219 +0,0 @@ -import com.nag.routines.E04.E04FFU; -import com.nag.routines.E04.E04GG; -import com.nag.routines.E04.E04GGV; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RH; -import com.nag.routines.E04.E04RM; -import com.nag.routines.E04.E04RX; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04ZM; - -/** - * E04GG example program text. - */ -public class E04GGJE { - - public static void main(String[] args) { - - final double infbnd = 1.0e20; - - long cpuser = 0, handle = 0; - int ifail, isparse, nnzrd, nres, nvar; - - double[] blx, bux, ruser, rx, x, z; - double[] rinfo = new double[100], stats = new double[100]; - int[] icolrd = new int[1], irowrd = new int[1], iuser = new int[1]; - - /* Header */ - System.out.println(" E04GGJ Example Program Results\n"); - - nvar = 6; - nres = 24; - // ruser = new double[2*nres]; - // Data from Lanczos 3 Problem - ruser = new double[] { - // t(:) = - 0.0e0, 5.0e-2, 1.0e-1, 1.5e-1, 2.0e-1, 2.5e-1, 3.0e-1, 3.5e-1, - 4.0e-1, 4.5e-1, 5.0e-1, 5.5e-1, 6.0e-1, 6.5e-1, 7.0e-1, 7.5e-1, - 8.0e-1, 8.5e-1, 9.0e-1, 9.5e-1, 1.0e0, 1.05e0, 1.10e0, 1.15e0, - // y(:) = - 2.5134, 2.0443, 1.6684, 1.3664, 1.1232, 0.9269, 0.7679, 0.6389, - 0.5338, 0.4479, 0.3776, 0.3197, 0.2720, 0.2325, 0.1997, 0.1723, - 0.1493, 0.1301, 0.1138, 0.1000, 0.0883, 0.0783, 0.0698, 0.0624 - }; - - iuser[0] = 0; - - // Initialize handle - ifail = 0; - E04RA e04ra = new E04RA(); - e04ra.eval(handle, nvar, ifail); - handle = e04ra.getHANDLE(); - - // Define residuals structure, isparse=0 means the residual structure is - // dense => irowrd and icolrd are not accessed - isparse = 0; - nnzrd = 0; - E04RM e04rm = new E04RM(); - e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); - - // Set options - E04ZM e04zm = new E04ZM(); - e04zm.eval(handle, "BXNL Use Second Derivatives = Yes",ifail); - e04zm.eval(handle, "BXNL Model = Gauss-Newton",ifail); - e04zm.eval(handle, "BXNL Glob Method = Reg",ifail); - // Change printed output verbosity - e04zm.eval(handle, "Print Level = 1",ifail); - - // Define starting point - rx = new double[nres]; - z = new double[nvar]; - // x = new double[nvar]; - x = new double[] { - 1.2, 0.3, 5.6, 5.5, 6.5, 7.6 - }; - - // Define bounds - blx = new double[nvar]; - bux = new double[nvar]; - blx[0] = 0.0; - bux[0] = 1.0; - blx[1] = -1.0; - bux[1] = infbnd; - blx[2] = -1.0; - bux[2] = infbnd; - blx[3] = -1.0; - bux[3] = infbnd; - blx[4] = -1.0; - bux[4] = 1.0; - blx[5] = -1.0; - bux[5] = 10.0; - E04RH e04rh = new E04RH(); - e04rh.eval(handle, nvar, blx, bux, ifail); - - // Call the solver - ifail = -1; - E04GG e04gg = new E04GG(); - LSQFUN lsqfun = new LSQFUN(); - LSQGRD lsqgrd = new LSQGRD(); - LSQHES lsqhes = new LSQHES(); - LSQHPRD lsqhprd = new LSQHPRD(); - MONIT monit = new MONIT(); - - e04gg.eval(handle,lsqfun,lsqgrd,lsqhes,lsqhprd,monit,nvar,x,nres,rx,rinfo,stats,iuser,ruser,cpuser,ifail); - ifail = e04gg.getIFAIL(); - - // Recover latest iterate from handle if available - if (ifail == 0) { - ifail = -1; - E04RX e04rx = new E04RX(); - e04rx.eval(handle,"X",1,nvar,z,ifail); - ifail = e04rx.getIFAIL(); - if (ifail == 0) { - System.out.println("\nSolver stored solution iterate in the handle"); - System.out.print("X: "); - for (int i = 0; i < nvar; i++){ - System.out.printf("%8.2E ", z[i]); - } - System.out.println(); - } - } - - // Free the handle memory - ifail = 0; - E04RZ e04rz = new E04RZ(); - e04rz.eval(handle, ifail); - - } - - public static class LSQFUN extends E04GG.Abstract_E04GG_LSQFUN { - - public void eval() { - for (int i = 0; i < this.NRES; i++){ - this.RX[i] = 0.0; - } - - for (int i = 0; i < this.NRES; i++){ - this.RX[i] = this.RUSER[this.NRES + i] - this.X[0] * Math.exp(-this.X[1] * this.RUSER[i]) - - this.X[2] * Math.exp(-this.X[3] * this.RUSER[i]) - this.X[4] * Math.exp(-this.X[5] * this.RUSER[i]); - } - - this.INFORM = 0; - } - } - - public static class LSQGRD extends E04GG.Abstract_E04GG_LSQGRD { - - public void eval() { - int i; - - for (i = 0; i < this.RDX.length; i++) { - this.RDX[i] = 0; - } - - for (i = 0; i < this.NRES; i++) { - this.RDX[i * this.NVAR + 0] = -Math.exp(-this.X[1] * this.RUSER[i]); - this.RDX[i * this.NVAR + 1] = this.RUSER[i] * this.X[0] * Math.exp(-this.X[1] * this.RUSER[i]); - this.RDX[i * this.NVAR + 2] = -Math.exp(-this.X[3] * this.RUSER[i]); - this.RDX[i * this.NVAR + 3] = this.RUSER[i] * this.X[2] * Math.exp(-this.X[3] * this.RUSER[i]); - this.RDX[i * this.NVAR + 4] = -Math.exp(-this.X[5] * this.RUSER[i]); - this.RDX[i * this.NVAR + 5] = this.RUSER[i] * this.X[4] * Math.exp(-this.X[5] * this.RUSER[i]); - } - - this.INFORM = 0; - } - } - - public static class LSQHES extends E04GG.Abstract_E04GG_LSQHES { - - public void eval() { - for (int i = 0; i < this.NVAR * this.NVAR; i++) { - this.HX[i] = 0.0; - } - - double sum21 = 0.0, sum22 = 0.0, sum43 = 0.0, sum44 = 0.0, sum65 = 0.0, sum66 = 0.0; - - for (int i = 0; i < this.NRES; i++){ - sum21 = sum21 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[1] * this.RUSER[i])); - sum22 = sum22 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[0] * Math.exp(-this.X[1] * this.RUSER[i])); - sum43 = sum43 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[3] * this.RUSER[i])); - sum44 = sum44 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[2] * Math.exp(-this.X[3] * this.RUSER[i])); - sum65 = sum65 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[5] * this.RUSER[i])); - sum66 = sum66 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[4] * Math.exp(-this.X[5] * this.RUSER[i])); - } - - this.HX[(2-1) + (1-1) * this.NVAR] = sum21; - this.HX[(1-1) + (2-1) * this.NVAR] = this.HX[(2-1) + (1-1) * this.NVAR]; - this.HX[(2-1) + (2-1) * this.NVAR] = sum22; - this.HX[(4-1) + (3-1) * this.NVAR] = sum43; - this.HX[(3-1) + (4-1) * this.NVAR] = this.HX[(4-1) + (3-1) * this.NVAR]; - this.HX[(4-1) + (4-1) * this.NVAR] = sum44; - this.HX[(6-1) + (5-1) * this.NVAR] = sum65; - this.HX[(5-1) + (6-1) * this.NVAR] = this.HX[(6-1) + (5-1) * this.NVAR]; - this.HX[(6-1) + (6-1) * this.NVAR] = sum66; - - this.INFORM = 0; - } - } - - public static class MONIT extends E04GG.Abstract_E04GG_MONIT { - - public void eval() { - E04FFU e04ffu = new E04FFU(); - e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, - this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ffu.getINFORM(); - } - } - - public static class LSQHPRD extends E04GG.Abstract_E04GG_LSQHPRD { - - public void eval() { - E04GGV e04ggv = new E04GGV(); - e04ggv.eval(this.NVAR, this.X, this.Y, this.NRES, this.HXY, - this.INFORM, this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ggv.getINFORM(); - } - } - -} diff --git a/simple_examples/int32/E04MTJE.java b/simple_examples/int32/E04MTJE.java deleted file mode 100644 index 6272e91..0000000 --- a/simple_examples/int32/E04MTJE.java +++ /dev/null @@ -1,132 +0,0 @@ -import com.nag.routines.E04.E04MT; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RF; -import com.nag.routines.E04.E04RH; -import com.nag.routines.E04.E04RJ; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04ZM; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.util.Arrays; - -/** - * E04MT example program text. - */ -public class E04MTJE { - - public static void main(String[] args) throws IOException { - - System.out.println(" E04MTJ Example Program Results"); - int m = 7; - int n = 7; - int nnza = 41; - int nnzc = 7; - int nnzu = 2*n + 2*m; - - int[] cindex = {1,2,3,4,5,6,7}; - double[] c = {-0.02,-0.20,-0.20,-0.20,-0.20, 0.04, 0.04}; - int[] irowa = {1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3, - 4,4,4,4,4,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7}; - int[] icola = {1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,4,5,6, - 1,2,3,4,5,1,2,5,1,2,3,4,5,6,1,2,3,4,5,6,7}; - double[] a = {1.00, 1.00, 1.00, 1.00, 1.00, 1.00, 1.00, - 0.15, 0.04, 0.02, 0.04, 0.02, 0.01, 0.03, - 0.03, 0.05, 0.08, 0.02, 0.06, 0.01,0.02, - 0.04, 0.01, 0.02, 0.02,0.02, 0.03, 0.01,0.70, - 0.75, 0.80, 0.75, 0.80, 0.97,0.02, 0.06, 0.08, - 0.12, 0.02, 0.01, 0.97}; - double[] bla = {-0.13,-1.0e20,-1.0e20,-1.0e20,-1.0e20, - -0.0992,-0.003}; - double[] bua = {-0.13,-0.0049,-0.0064,-0.0037,-0.0012, - 1.0e20, 0.002}; - double[] xl = {-0.01,-0.1,-0.01,-0.04,-0.1,-0.01,-0.01}; - double[] xu = {0.01,0.15,0.03,0.02,0.05,1.0e20,1.0e20}; - double[] dArrData = new double[nnza+2*m+3*n+nnzc+nnzu]; - - long handle = 0; - int ifail = 0; - E04RA e04ra = new E04RA(handle,n,ifail); - e04ra.eval(); - - handle = e04ra.getHANDLE(); - - int[] icolh = new int[1]; - int[] irowh = new int[1]; - double[] h = new double[1]; - E04RF e04rf = new E04RF(handle,nnzc,cindex,c,0,irowh,icolh,h,ifail); - e04rf.eval(); - handle = e04ra.getHANDLE(); - - E04RH e04rh = new E04RH(handle,n,xl,xu,ifail); - e04rh.eval(); - handle = e04rh.getHANDLE(); - - int idlc = 0; - E04RJ e04rj = new E04RJ(handle,m,bla,bua,nnza,irowa,icola,a,idlc,ifail); - e04rj.eval(); - handle = e04rj.getHANDLE(); - - E04ZM e04zm = new E04ZM(handle,"LPIPM Monitor Frequency = 1",ifail); - e04zm.eval(); - e04zm.setOPTSTR("LPIPM Stop Tolerance = 1.0e-10"); - e04zm.eval(); - e04zm.setOPTSTR("Print Solution = YES"); - e04zm.eval(); - e04zm.setOPTSTR("Print Options = NO"); - e04zm.eval(); - e04zm.setOPTSTR("LPIPM Centrality Correctors = -6"); - e04zm.eval(); - handle = e04zm.getHANDLE(); - - long cpuser = 2; - int[] iuser = {1}; - double[] ruser = new double[1]; - ifail = -1; - MONIT monit = new MONIT(); - double[] x = new double[n], u = new double[nnzu]; - double[] rinfo = new double[100], stats = new double[100]; - System.out.println(); - System.out.println("++++++++++ Use the Primal-Dual algorithm ++++++++++"); - E04MT e04mt = new E04MT(handle,n,x,nnzu,u,rinfo,stats, - monit,iuser,ruser,cpuser,ifail); - e04mt.eval(); - System.out.println(); - System.out.println("++++++++++ Use the Self-Dual algorithm ++++++++++"); - e04zm.setOPTSTR("LPIPM Algorithm = Self-Dual"); - e04zm.eval(); - e04zm.setOPTSTR("LPIPM Stop Tolerance 2 = 1.0e-11"); - e04zm.eval(); - iuser[0] = 2; - e04mt.setIFAIL(-1); - e04mt.setHANDLE(e04zm.getHANDLE()); - e04mt.setIUSER(iuser); - e04mt.eval(); - - } - - public static class MONIT extends E04MT.Abstract_E04MT_MONIT { - - public void eval() { - - double tol = 1.2e-8; - - if (IUSER[0] == 1) { - if ((RINFO[4] < tol) && (RINFO[5] < tol) && (RINFO[6] < tol)) { - System.out.println("Iteration " + Integer.toString((int)STATS[0])); - System.out.printf(" monit() reports good approximate solution (tol = %5.2E):\n", tol); - } - } - else { - if ((RINFO[14] < tol) && (RINFO[15] < tol) && (RINFO[16] < tol) && (RINFO[17] < tol)) { - System.out.println("Iteration " + Integer.toString((int)STATS[0])); - System.out.printf(" monit() reports good approximate solution (tol = %5.2E):\n", tol); - } - } - - } - - } - -} diff --git a/simple_examples/int32/E04MXJE.java b/simple_examples/int32/E04MXJE.java deleted file mode 100644 index 642a933..0000000 --- a/simple_examples/int32/E04MXJE.java +++ /dev/null @@ -1,292 +0,0 @@ -import com.nag.routines.E04.E04MX; -import com.nag.routines.E04.E04NP; -import com.nag.routines.E04.E04NQ; -import com.nag.routines.E04.E04NS; -import com.nag.routines.E04.E04NT; -import com.nag.routines.X04.X04AC; -import com.nag.routines.X04.X04AD; -import java.util.Arrays; - -/** - * E04MX example program text. - */ -public class E04MXJE { - - public static void main(String[] args) { - - /* Parameters */ - int lencw = 600, leniw = 600, lenrw = 600, mpslst = 1, nin = 7, nout = 6; - boolean readints = false; - String fname = args[0]; - /* Local Scalars */ - double obj, objadd, sinf; - int i, ifail, iobj, lenc, lintvar, m, maxlintvar, maxm, maxn, maxncolh, - maxnnz, maxnnzh, minmax, mode, n, ncolh, ninf, nname, nnz, nnzh, ns; - boolean verboseOutput; - String start; - /* Local Arrays */ - double[] a, bl, bu, c, h, pi, rc, ruser, rw, x; - int[] helast, hs, iccola, iccolh, intvar, irowa, irowh, iuser, iw; - String[] crname, cw; - String[] cuser = new String[1], pnames = new String[5]; - cuser[0] = " "; - for (int j = 0; j < 5; j++) { - pnames[j] = " "; - } - - System.out.println(" E04MXJ Example Program Results"); - - // Initialize - for (int j = 0; j < 5; j++) { - pnames[j] = " "; - } - maxm = 0; - maxn = 0; - maxnnz = 0; - maxnnzh = 0; - maxncolh = 0; - maxlintvar = 0; - - // Open the data file for reading - X04AC x04ac = new X04AC(); - mode = 0; - ifail = 0; - x04ac.eval(nin, fname, mode, ifail); - - // Prep call to E04MX in query mode - E04MX e04mx = new E04MX(); - a = new double[1]; - irowa = new int[1]; - iccola = new int[1]; - bl = new double[1]; - bu = new double[1]; - crname = new String[]{" "}; - h = new double[1]; - irowh = new int[1]; - iccolh = new int[1]; - intvar = new int[1]; - ifail = 0; - - // Placeholders for output only scalars - n = 0; - m = 0; - nnz = 0; - ncolh = 0; - nnzh = 0; - lintvar = 0; - iobj = 0; - nname = 0; - minmax = 0; - - // Make call to E04MX - e04mx.eval(nin, maxn, maxm, maxnnz, maxncolh, maxnnzh, maxlintvar, - mpslst, n, m, nnz, ncolh, nnzh, lintvar, iobj, a, irowa, - iccola, bl, bu, pnames, nname, crname, h, irowh, iccolh, - minmax, intvar, ifail); - - // Get output scalar values - n = e04mx.getN(); - m = e04mx.getM(); - nnz = e04mx.getNNZ(); - ncolh = e04mx.getNCOLH(); - nnzh = e04mx.getNNZH(); - lintvar = e04mx.getLINTVAR(); - iobj = e04mx.getIOBJ(); - nname = e04mx.getNNAME(); - minmax = e04mx.getMINMAX(); - ifail = e04mx.getIFAIL(); - - // Close file - X04AD x04ad = new X04AD(); - ifail = 0; - x04ad.eval(nin, ifail); - - // Set maxm, maxn and maxnnz - maxm = m; - maxn = n; - maxnnz = nnz; - maxnnzh = nnzh; - maxncolh = ncolh; - maxlintvar = (readints) ? lintvar : 1; - - // Allocate memory - irowa = new int[maxnnz]; - iccola = new int[maxn + 1]; - a = new double[maxnnz]; - bl = new double[maxn + maxm]; - bu = new double[maxn + maxm]; - crname = new String[maxn + maxm]; - for (int j = 0; j < (maxn + maxm); j++) { - crname[j] = " "; - } - irowh = new int[maxnnzh]; - iccolh = new int[maxncolh + 1]; - h = new double[maxnnzh]; - intvar = new int[maxlintvar]; - - // Open the data file for reading - mode = 0; - ifail = 0; - x04ac.eval(nin, fname, mode, ifail); - - // Call E04MX to read the problem - ifail = 0; - e04mx.eval(nin, maxn, maxm, maxnnz, maxncolh, maxnnzh, maxlintvar, - mpslst, n, m, nnz, ncolh, nnzh, lintvar, iobj, a, irowa, - iccola, bl, bu, pnames, nname, crname, h, irowh, iccolh, - minmax, intvar, ifail); - n = e04mx.getN(); - m = e04mx.getM(); - nnz = e04mx.getNNZ(); - ncolh = e04mx.getNCOLH(); - nnzh = e04mx.getNNZH(); - lintvar = e04mx.getLINTVAR(); - iobj = e04mx.getIOBJ(); - nname = e04mx.getNNAME(); - minmax = e04mx.getMINMAX(); - ifail = e04mx.getIFAIL(); - - // Close the data file - ifail = 0; - x04ad.eval(nin, ifail); - - /* Data has been read. Set up and run the solver */ - - iw = new int[leniw]; - rw = new double[lenrw]; - cw = new String[lencw]; - for (int j = 0; j < lencw; j++) { - cw[j] = " "; - } - - // Call E04NP to initialize workspace - E04NP e04np = new E04NP(); - ifail = 0; - e04np.eval(cw, lencw, iw, leniw, rw, lenrw, ifail); - - // Call option setter E04NS to change the direction of optimization. - // Minimization is assumed by default. - E04NS e04ns = new E04NS(); - if (minmax == 1) { - ifail = 0; - e04ns.eval("Maximize", cw, iw, rw, ifail); - } - else if (minmax == 0) { - ifail = 0; - e04ns.eval("Feasible Point", cw, iw, rw, ifail); - } - - // Set this to TRUE to cause E04NQ to produce intermediate progress output - verboseOutput = false; - - if (verboseOutput) { - // By default E04NQ does not print monitoring information. Set the print - // file unit or the summary file unit to get information. - E04NT e04nt = new E04NT(); - ifail = 0; - e04nt.eval("Print file", nout, cw, iw, rw, ifail); - } - else { - System.out.printf(" \n Problem contains %3d variables and %3d linear constraints\n", n, m); - } - - // We have no explicit objective vector so set LENC = 0; the objective vector - // is stored in row IOBJ of ACOL. - lenc = 0; - objadd = 0.0; - start = "C"; - - c = new double[Math.max(1, lenc)]; - helast = new int[n + m]; - x = new double[n + m]; - pi = new double[m]; - rc = new double[n + m]; - hs = new int[n + m]; - iuser = new int[ncolh + 1 + nnzh]; - ruser = new double[nnzh]; - - if (ncolh > 0) { - // Store the non zeros of H in ruser for use by qphx - for (int j = 0; j < nnzh; j++) { - ruser[j] = h[j]; - } - // Store iccolh and irowh in iuser for use by qphx - for (int j = 0; j < ncolh + 1; j++) { - iuser[j] = iccolh[j]; - } - for (int j = 0; j < nnzh; j++) { - iuser[j + ncolh + 1] = irowh[j]; - } - - } - - // Call E04NQ to solve the problem - E04NQ e04nq = new E04NQ(); - QPHX qphx = new QPHX(); - ns = 0; - ninf = 0; - sinf = 0.0; - obj = 0.0; - ifail = 0; - e04nq.eval(start, qphx, m, n, nnz, nname, lenc, ncolh, iobj, objadd, - pnames[0], a, irowa, iccola, bl, bu, c, crname, helast, hs, - x, pi, rc, ns, ninf, sinf, obj, cw, lencw, iw, leniw, rw, - lenrw,cuser,iuser,ruser,ifail); - ns = e04nq.getNS(); - ninf = e04nq.getNINF(); - sinf = e04nq.getSINF(); - obj = e04nq.getOBJ(); - ifail = e04nq.getIFAIL(); - - if (!verboseOutput) { - System.out.println(); - System.out.printf(" Final objective value = %11.3E\n", obj); - System.out.printf(" Optimal X = \n"); - System.out.printf(" "); - for (int j = 0; j < n; j++) { - System.out.printf("%9.2f", x[j]); - } - System.out.printf("\n"); - } - - } - - public static class QPHX extends E04NQ.Abstract_E04NQ_QPHX { - - /** - * Subroutine to compute H*x. - * Note: IUSER and RUSER contain the following data: - * RUSER(1:NNZH) = H(1:NNZH) - * IUSER(1:NCOLH+1) = ICCOLH(1:NCOLH+1) - * IUSER(NCOLH+2:NNZH+NCOLH+1) = IROWH(1:NNZH) - */ - public void eval() { - /* Local Scalars */ - int end, icol, idx, irow, start; - - Arrays.fill(HX, 0.0); - - for (icol = 0; icol < this.NCOLH + 1; ++icol) { - - start = this.IUSER[icol] - 1; - end = IUSER[icol+1] - 2; - - for (idx = start; idx < end + 1; ++idx) { - - irow = this.IUSER[this.NCOLH + 1 + idx] - 1; - this.HX[irow] += this.X[icol] * this.RUSER[idx]; - - if (irow != icol) { - this.HX[icol] += this.X[irow] * this.RUSER[idx]; - } - - } - - } - - } - - } - - -} diff --git a/simple_examples/int32/E04NCJE.java b/simple_examples/int32/E04NCJE.java deleted file mode 100644 index d6c3010..0000000 --- a/simple_examples/int32/E04NCJE.java +++ /dev/null @@ -1,246 +0,0 @@ -import static java.lang.Math.max; - -import com.nag.routines.E04.E04NC; -import com.nag.routines.E04.E04WB; -import com.nag.routines.F06.DGEMV; -import java.io.BufferedReader; -import java.io.FileReader; -import java.text.NumberFormat; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * E04NC example program text. - * @author ludovic - */ -public class E04NCJE { - - public static void main(String[] args) { - - double one = 1.0; - double zero = 0.0; - int inc1 = 1, lcwsav = 1, liwsav = 610, - llwsav = 120, lrwsav = 475, nin = 5, - nout = 6; - double obj; - int i, ifail, iter, lda, ldc, liwork, - lwork, m, n, nclin, sdc; - double[] a, b, bl, bu, c, - clamda, cvec, work, x; - double[] rwsav = new double[lrwsav]; - int[] istate, iwork, kx; - int[] iwsav = new int[liwsav]; - boolean[] lwsav = new boolean[llwsav]; - String[] cwsav = new String[lcwsav]; - - System.out.println(" E04NCJ Example Program Results"); - try { - - BufferedReader br = new BufferedReader(new FileReader(args[0])); - String line = br.readLine(); // read the header - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - String[] data = line.split("\\s+"); - m = Integer.parseInt(data[0]); - n = Integer.parseInt(data[1]); - nclin = Integer.parseInt(data[2]); - - liwork = n; - ldc = max(1,nclin); - lda = max(1,m); - - if (nclin > 0) { - sdc = n; - } - else { - sdc = 1; - } - - /* This particular example problem is of type LS1, so we allocate - * A(LDA,N), CVEC(1), B(M) and define LWORK as below - */ - if (nclin > 0) { - lwork = 2*n*n + 9*n + 6*nclin; - } - else { - lwork = 9*n; - } - - /* - * 2Ds arrays (size [n,m]) are stored in 1D arrays of size n*m, ordered by column - * ie: - * 1 1 1 - * 2 2 2 - * 3 3 3 - * - * is stored [1,2,3,1,2,3,1,2,3] - */ - istate = new int[n+nclin]; - kx = new int[n]; - iwork = new int[liwork]; - c = new double[ldc*sdc]; - bl = new double[n+nclin]; - bu = new double[n+nclin]; - cvec = new double[1]; - x = new double[n]; - a = new double[lda * n]; - b = new double[m]; - clamda = new double[n+nclin]; - work = new double[lwork]; - - /* - * Extra arrays to initialize: - */ - for (int ii = 0; ii < cwsav.length; ++ii) { - // 80 characters long... - cwsav[ii] - = " "; - } - - for (int ii = 0; ii < lda; ++ii) { - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - for (int jj = 0; jj < n; ++jj) { - a[lda*jj+ii] = Double.parseDouble(data[jj]); - } - } - - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - - for (int ii = 0; ii < m; ++ii) { - b[ii] = Double.parseDouble(data[ii]); - } - - for (int ii = 0; ii < ldc; ++ii) { - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - for (int jj = 0; jj < sdc; ++jj) { - c[ldc*jj+ii] = Double.parseDouble(data[jj]); - } - } - - //bl and bu to complicated to read properly -> hardcoded - line = br.readLine(); - line = br.readLine(); - bl[0] = 0.0; - bl[1] = 0.0; - bl[2] = -1.0E+25; - bl[3] = 0.0; - bl[4] = 0.0; - bl[5] = 0.0; - bl[6] = 0.0; - bl[7] = 0.0; - bl[8] = 0.0; - bl[9] = 2.0; - bl[10] = -1.0E+25; - bl[11] = 1.0; - - line = br.readLine(); - line = br.readLine(); - bu[0] = 2.0; - bu[1] = 2.0; - bu[2] = 2.0; - bu[3] = 2.0; - bu[4] = 2.0; - bu[5] = 2.0; - bu[6] = 2.0; - bu[7] = 2.0; - bu[8] = 2.0; - bu[9] = 1.0E+25; - bu[10] = 2.0; - bu[11] = 4.0; - - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - for (int ii = 0; ii < n; ++ii) { - x[ii] = Double.parseDouble(data[ii]); - } - - // CALL TO E04WBF - ifail = 0; - String routname = "E04NCA"; - E04WB e04wb = new E04WB(routname, cwsav, lcwsav, lwsav, llwsav, iwsav, liwsav, rwsav, - lrwsav, ifail); - e04wb.eval(); - cwsav = e04wb.getCWSAV(); - iwsav = e04wb.getIWSAV(); - lwsav = e04wb.getLWSAV(); - rwsav = e04wb.getRWSAV(); - - // CALL TO E04NCF - ifail = -1; - - /* Java needs these to be initialized, so set it to an impossible value - * to trap possible error later */ - iter = Integer.MIN_VALUE; - obj = Double.NaN; - - E04NC e04nc = new E04NC(m,n,nclin,ldc,lda,c,bl,bu,cvec,istate,kx,x,a,b,iter,obj, - clamda,iwork,liwork,work,lwork,lwsav,iwsav,rwsav,ifail); - e04nc.eval(); - - // Getting ifail's value back - ifail = e04nc.getIFAIL(); - - switch (ifail) { - case 0: - case 1: - case 2: - case 3: - case 4: - case 5: - case 7: - System.out.println("\n Varbl Istate Value Lagr Mult\n"); - - for (i = 0; i < n; ++i) { - System.out.printf(" V %3d %3d %14.3E %12.3E\n",(i+1), istate[i],x[i], clamda[i]); - } - - if (nclin > 0) { - DGEMV dgemv = new DGEMV(); - dgemv.eval("N",nclin,n,one,c,ldc,x,inc1,zero,work,inc1); - System.out.println("\n\n L Con Istate Value Lagr Mult\n"); - for (int ii = 0; ii < nclin; ++ii) { - System.out.printf(" L %3d %3d %14.3E %12.3E\n", - ii+1,istate[ii+n],work[ii],clamda[ii+n]); - } - } - - System.out.printf("\n\n Final objective value = %15.3E\n",e04nc.getOBJ()); - break; - default: - if (ifail > 7) { - System.out.println(" Varbl Istate Value Lagr Mult"); - for (i = 0; i < n; ++i) { - System.out.printf(" V %3d %3d %14.3E %12.3E)\n",(i+1), istate[i],x[i], clamda[i]); - } - - if (nclin > 0) { - DGEMV dgemv = new DGEMV(); - dgemv.eval("N",nclin,n,one,c,ldc,x,inc1,zero,work,inc1); - System.out.println(" L Con Istate Value Lagr Mult"); - for (int ii = 0; ii < nclin; ++ii) { - System.out.printf(" L %3d %3d %14.3E %12.3E\n", - ii+1,istate[ii+n],work[ii],clamda[ii+n]); - } - } - - System.out.printf("Final objective value is: %15.7f\n",e04nc.getOBJ()); - } - else { - System.out.println("E04NC returned with IFAIL = "+e04nc.getIFAIL()); - } - } - } - catch (Exception ex) { - Logger.getLogger(E04NCJE.class.getName()).log(Level.SEVERE, null, ex); - } - - } - -} diff --git a/simple_examples/int32/E04NFJE.java b/simple_examples/int32/E04NFJE.java deleted file mode 100644 index e341f9f..0000000 --- a/simple_examples/int32/E04NFJE.java +++ /dev/null @@ -1,234 +0,0 @@ -import com.nag.routines.E04.E04NF; -import com.nag.routines.E04.E04NH; -import com.nag.routines.E04.E04WB; -import com.nag.routines.E04.E54NFU; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.text.NumberFormat; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * E04NF example program text. - */ -public class E04NFJE { - - public static void main(String[] args) { - - /* Local Scalars */ - double obj; - int i, ifail, iter, lda, ldh, liwork, lwork, n, nclin, sda; - /* Local Arrays */ - double[] a, ax, bl, bu, clamda, cvec, h, work, x; - int[] istate, iwork; - - try { - - System.out.println(" E04NFJ Example Program Results"); - - if (args.length == 0) { - System.err.println("You need to provide the path to the data file e04nfae.d"); - System.exit(-1); - } - - // Read data from file - DataFile datafile = new DataFile(args[0]); - datafile.read(); - - liwork = 2 * datafile.n + 3; - lda = Math.max(1, datafile.nclin); - - sda = (datafile.nclin > 0) ? datafile.n : 1; - - // This particular example problem is of type QP2 with H stored explicitly, - // so we allocate CVEC(N) and H(LDH,N), and define LDH and LWORK as below - ldh = datafile.n; - - if (datafile.nclin > 0) { - lwork = 2 * datafile.n * datafile.n + 8 * datafile.n + 5 * datafile.nclin; - } - else { - lwork = datafile.n * datafile.n + 8 * datafile.n; - } - - istate = new int[datafile.n + datafile.nclin]; - ax = new double[Math.max(1, datafile.nclin)]; - iwork = new int[liwork]; - // h, bl, bu, cvec, x, a: already read from data file - clamda = new double[datafile.n + datafile.nclin]; - work = new double[lwork]; - - // Init routine - E04WB e04wb = new E04WB(); - int lcwsav = 1, liwsav = 610, llwsav = 120, lrwsav = 475; - String[] cwsav = new String[lcwsav]; - cwsav[0] - = " "; - int[] iwsav = new int[liwsav]; - boolean[] lwsav = new boolean[llwsav]; - double[] rwsav = new double[lrwsav]; - ifail = 0; - e04wb.eval("E04NFA", cwsav, lcwsav, lwsav, llwsav, iwsav, liwsav, rwsav, lrwsav, ifail); - - // Set print level to match E04NFF example output - E04NH e04nh = new E04NH(); - int inform = 0; - e04nh.eval("Print Level = 10", lwsav, iwsav, rwsav, inform); - - // Solve the problem - E04NF e04nf = new E04NF(); - double[] ruser = new double[1]; - int[] iuser = new int[1]; - iter = 0; - obj = Double.NaN; - ifail = 0; - e04nf.eval(datafile.n, datafile.nclin, datafile.a, datafile.lda, datafile.bl, - datafile.bu, datafile.cvec, datafile.h, datafile.ldh, new QPHESS(), istate, - datafile.x, iter, obj, ax, clamda, iwork, liwork, work, lwork, - iuser, ruser, lwsav, iwsav, rwsav, ifail); - - ifail = e04nf.getIFAIL(); - - } - catch (Exception ex) { - Logger.getLogger(E04NFJE.class.getName()).log(Level.SEVERE, null, ex); - } - - } - - /** Using E54NFU as a default. */ - public static class QPHESS extends E54NFU implements E04NF.E04NF_QPHESS { - - public void eval() { - super.eval(); - } - - } - - public static class DataFile { - - public String filename; - public int n, nclin, lda, sda, ldh; - public double[] cvec, a, bl, bu, x, h; - - public DataFile(String filename) { - this.filename = filename; - } - - public void read() throws FileNotFoundException, IOException { - BufferedReader dataIn = new BufferedReader(new FileReader(filename)); - String line = dataIn.readLine(); // skipping header - line = dataIn.readLine().trim(); - String[] lines = line.split(":");//removing comments - String[] dataLine = lines[0].split("\\s+"); - if (dataLine.length != 2) { - System.err.println("Something went wrong when reading the data file" - + " - can't read n and nclin!"); - System.exit(1); - } - n = Integer.parseInt(dataLine[0]); - nclin = Integer.parseInt(dataLine[1]); - - lda = Math.max(1, nclin); - - if (nclin > 0) { - sda = n; - } - else { - sda = 1; - } - ldh = n; - - cvec = new double[n]; - a = new double[lda * sda]; - bl = new double[n + nclin]; - bu = new double[n + nclin]; - x = new double[n]; - h = new double[ldh * n]; - - //reading cvec - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for cvec"); - System.exit(1); - } - - for (int i = 0; i < n; ++i) { - cvec[i] = Double.parseDouble(dataLine[i].trim().replaceAll("D", "E")); - } - - //reading a - for (int i = 0; i < lda; ++i) { - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != sda) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for a"); - System.exit(1); - } - for (int j = 0; j < sda; ++j) { - a[i + j * lda] = Double.parseDouble(dataLine[j].trim().replaceAll("D", "E")); - } - } - - //reading bl - //it's on two lines in the data file, so we need to merge them - line = dataIn.readLine().trim().split(":")[0].trim() + " " - + dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n + nclin) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for bl"); - System.exit(1); - } - for (int i = 0; i < n + nclin; ++i) { - bl[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); - } - - //reading bu - //it's on two lines in the data file, so we need to merge them - line = dataIn.readLine().trim().split(":")[0].trim() + " " - + dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n + nclin) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for bu"); - System.exit(1); - } - for (int i = 0; i < n + nclin; ++i) { - bu[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); - } - - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for x"); - System.exit(1); - } - for (int i = 0; i < n; ++i) { - x[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); - } - - for (int i = 0; i < ldh; ++i) { - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for h at line " + i); - System.exit(1); - } - for (int j = 0; j < n; ++j) { - h[i + j * ldh] = Double.parseDouble(dataLine[j].replaceAll("D", "E")); - } - } - - - } - } - -} diff --git a/simple_examples/int32/E04NKJE.java b/simple_examples/int32/E04NKJE.java deleted file mode 100644 index 604ee66..0000000 --- a/simple_examples/int32/E04NKJE.java +++ /dev/null @@ -1,295 +0,0 @@ -import com.nag.routines.E04.E04NK; -import com.nag.routines.E04.E04WB; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.util.Arrays; - -/** - * E04NKJ Example Program Text - * @author willa - * @since 27.1.0.0 - */ -public class E04NKJE{ - private static int lcwsav = 1; - private static int liwsav = 380; - private static int llwsav = 20; - private static int lrwsav = 285; - - /** - * E04NKJ Example main program. - */ - public static void main(String[] args){ - double obj, sinf; - int icol, ifail, iobj, jcol, leniz, lenz, m, miniz, minz, n, ncolh, ninf, nname, nnz, ns, i; - String start; - double[] a, bl, bu, clamda, xs, z, ruser, rwsav; - int[] ha, istate, iz, ka, iuser, iwsav; - boolean[] lwsav; - String[] crname, cwsav, names; - - System.out.println("E04NKJ Example Program Results"); - - ruser = new double[1]; - rwsav = new double[lrwsav]; - iuser = new int[1]; - iwsav = new int[liwsav]; - - cwsav = new String[lcwsav]; - //equivalent to ```Character (80) :: cwsav(lcwsav)``` - for(i = 0; i < lcwsav; i++){ - char[] chars = new char[80]; - Arrays.fill(chars, ' '); - cwsav[i] = new String(chars); - } - names = new String[5]; - //names all blank anyway this time - for(i = 0; i < 5; i++){ - char[] chars = new char[8]; - Arrays.fill(chars, ' '); - names[i] = new String(chars); - } - - //dummy arrays - crname = new String[0]; - - n = 7; - m = 8; - nnz = 48; - iobj = 8; - ncolh = 7; - start = "C"; - nname = 15; - - ha = new int[nnz]; - ka = new int[n + 1]; - istate = new int[n + m]; - a = new double[nnz]; - bl = new double[n + m]; - bu = new double[n + m]; - xs = new double[n + m]; - clamda = new double[n + m]; - crname = new String[nname]; - lwsav = new boolean[llwsav]; - - names[0] = " "; - names[1] = " "; - names[2] = " "; - names[3] = " "; - names[4] = " "; - - crname[0] = "...X1..."; - crname[1] = "...X2..."; - crname[2] = "...X3..."; - crname[3] = "...X4..."; - crname[4] = "...X5..."; - crname[5] = "...X6..."; - crname[6] = "...X7..."; - crname[7] = "..ROW1.."; - crname[8] = "..ROW2.."; - crname[9] = "..ROW3.."; - crname[10] = "..ROW4.."; - crname[11] = "..ROW5.."; - crname[12] = "..ROW6.."; - crname[13] = "..ROW7.."; - crname[14] = "..COST.."; - - //Matrix A. Set up KA - jcol = 1; - ka[0] = 1; - - a[0] = 0.02; ha[0] = 7; - a[1] = 0.02; ha[1] = 5; - a[2] = 0.03; ha[2] = 3; - a[3] = 1.00; ha[3] = 1; - a[4] = 0.70; ha[4] = 6; - a[5] = 0.02; ha[5] = 4; - a[6] = 0.15; ha[6] = 2; - a[7] = -200.00; ha[7] = 8; - a[8] = 0.06; ha[8] = 7; - a[9] = 0.75; ha[9] = 6; - a[10] = 0.03; ha[10] = 5; - a[11] = 0.04; ha[11] = 4; - a[12] = 0.05; ha[12] = 3; - a[13] = 0.04; ha[13] = 2; - a[14] = 1.00; ha[14] = 1; - a[15] = -2000.00; ha[15] = 8; - a[16] = 0.02; ha[16] = 2; - a[17] = 1.00; ha[17] = 1; - a[18] = 0.01; ha[18] = 4; - a[19] = 0.08; ha[19] = 3; - a[20] = 0.08; ha[20] = 7; - a[21] = 0.80; ha[21] = 6; - a[22] = -2000.00; ha[22] = 8; - a[23] = 1.00; ha[23] = 1; - a[24] = 0.12; ha[24] = 7; - a[25] = 0.02; ha[25] = 3; - a[26] = 0.02; ha[26] = 4; - a[27] = 0.75; ha[27] = 6; - a[28] = 0.04; ha[28] = 2; - a[29] = -2000.00; ha[29] = 8; - a[30] = 0.01; ha[30] = 5; - a[31] = 0.80; ha[31] = 6; - a[32] = 0.02; ha[32] = 7; - a[33] = 1.00; ha[33] = 1; - a[34] = 0.02; ha[34] = 2; - a[35] = 0.06; ha[35] = 3; - a[36] = 0.02; ha[36] = 4; - a[37] = -2000.00; ha[37] = 8; - a[38] = 1.00; ha[38] = 1; - a[39] = 0.01; ha[39] = 2; - a[40] = 0.01; ha[40] = 3; - a[41] = 0.97; ha[41] = 6; - a[42] = 0.01; ha[42] = 7; - a[43] = 400.00; ha[43] = 8; - a[44] = 0.97; ha[44] = 7; - a[45] = 0.03; ha[45] = 2; - a[46] = 1.00; ha[46] = 1; - a[47] = 400.00; ha[47] = 8; - - ka[1] = 9; - ka[2] = 17; - ka[3] = 24; - ka[4] = 31; - ka[5] = 39; - ka[6] = 45; - ka[7] = 49; - - bl[0] = 0.0; - bl[1] = 0.0; - bl[2] = 4.0e2; - bl[3] = 1.0e2; - bl[4] = 0.0; - bl[5] = 0.0; - bl[6] = 0.0; - bl[7] = 2.0e3; - bl[8] = -1.0e25; - bl[9] = -1.0e25; - bl[10] = -1.0e25; - bl[11] = -1.0e25; - bl[12] = 1.5e3; - bl[13] = 2.5e2; - bl[14] = -1.0e25; - - bu[0] = 2.0e2; - bu[1] = 2.5e3; - bu[2] = 8.0e2; - bu[3] = 7.0e2; - bu[4] = 1.5e3; - bu[5] = 1.0e25; - bu[6] = 1.0e25; - bu[7] = 2.0e3; - bu[8] = 6.0e1; - bu[9] = 1.0e2; - bu[10] = 4.0e1; - bu[11] = 3.0e1; - bu[12] = 1.0e25; - bu[13] = 3.0e2; - bu[14] = 1.0e25; - - istate[0] = 0; - istate[1] = 0; - istate[2] = 0; - istate[3] = 0; - istate[4] = 0; - istate[5] = 0; - istate[6] = 0; - istate[7] = 0; - - xs[0] = 0.0; - xs[1] = 0.0; - xs[2] = 0.0; - xs[3] = 0.0; - xs[4] = 0.0; - xs[5] = 0.0; - xs[6] = 0.0; - xs[7] = 0.0; - - ifail = 0; - E04WB e04wb = new E04WB("E04NKA",cwsav,lcwsav,lwsav,llwsav,iwsav,liwsav,rwsav, - lrwsav,ifail); - e04wb.eval(); - - leniz = 1; - lenz = 1; - iz = new int[leniz]; - z = new double[lenz]; - - QPHX qphx = new QPHX(); - - ifail = 1; - - //placeholders - ns = 0; - miniz = 0; - minz = 0; - ninf = 0; - sinf = 0.0; - obj = 0.0; - - E04NK e04nk = new E04NK(n,m,nnz,iobj,ncolh,qphx,a,ha,ka,bl,bu,start,names,nname, - crname,ns,xs,istate,miniz,minz,ninf,sinf,obj,clamda,iz, - leniz,z,lenz,iuser,ruser,lwsav,iwsav,rwsav,ifail); - e04nk.eval(); - ifail = e04nk.getIFAIL(); - - minz = e04nk.getMINZ(); - miniz = e04nk.getMINIZ(); - - lenz = minz; - leniz = miniz; - - iz = new int[leniz]; - z = new double[lenz]; - - ifail = -1; - - e04nk.eval(n,m,nnz,iobj,ncolh,qphx,a,ha,ka,bl,bu,start,names,nname,crname,ns,xs, - istate,miniz,minz,ninf,sinf,obj,clamda,iz,leniz,z,lenz,iuser,ruser, - lwsav,iwsav,rwsav,ifail); - - //update - ifail = e04nk.getIFAIL(); - obj = e04nk.getOBJ(); - - if(ifail == 0){ - System.out.println(); - System.out.println("\tVariable Istate Value Lagr Mult"); - System.out.println(); - - for(i = 0; i < n; i++){ - System.out.printf("\t%s\t%d\t%.6g\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); - } - - if(m > 0){ - System.out.println(); - System.out.println(); - System.out.println("\tConstrnt Istate Value\t\t Lagr Mult"); - System.out.println(); - - for(i = n; i < n + m - 1; i++){ - System.out.printf("\t%s\t%d\t%.6g\t\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); - } - System.out.printf("\t%s\t%d\t%.6g\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); - } - - System.out.println(); - System.out.println(); - System.out.printf("Final objetive value = %15.7g\n", obj); - } - - } - - public static class QPHX extends E04NK.Abstract_E04NK_QPHX{ - public void eval(){ - this.HX[0] = 2 * this.X[0]; - this.HX[1] = 2 * this.X[1]; - this.HX[2] = 2 * (this.X[2] + this.X[3]); - this.HX[3] = this.HX[2]; - this.HX[4] = 2 * this.X[4]; - this.HX[5] = 2 * (this.X[5] + this.X[6]); - this.HX[6] = this.HX[5]; - } - } -} diff --git a/simple_examples/int32/E04NQJE.java b/simple_examples/int32/E04NQJE.java deleted file mode 100644 index 6cf84fe..0000000 --- a/simple_examples/int32/E04NQJE.java +++ /dev/null @@ -1,384 +0,0 @@ -import com.nag.routines.E04.E04NP; -import com.nag.routines.E04.E04NQ; -import com.nag.routines.E04.E04NT; -import java.io.BufferedReader; -import java.io.File; -import java.io.FileReader; -import java.io.IOException; -import java.util.Arrays; - -/** - * E04NQ example program text. - */ -public class E04NQJE { - - public static final int LENCW = 600; - public static final int LENIW = 600; - public static final int LENRW = 600; - public static final int NIN = 5; - public static final int NOUT = 6; - - public static void main(String[] args) throws IOException { - - /* Local Scalars */ - double obj, objadd, sinf; - int i, icol, ifail, iobj, jcol, lenc, m, n, ncolh, ne, ninf, nname, ns; - boolean verboseOutput; - String prob; // Length = 8 - String start; // Length = 1 - /* Local Arrays */ - double[] acol, bl, bu, c, pi, rc, x; - double[] ruser = new double[1], rw = new double[LENRW]; - int[] helast, hs, inda, loca; - int[] iuser = new int[1], iw = new int[LENIW]; - String[] cuser = new String[1], cw = new String[LENCW]; // Length = 8 - String[] names; // Length = 8 - /* Init String arrays with same length*/ - Arrays.fill(cuser, " "); - Arrays.fill(cw, " "); - - System.out.println(" E04NQJ Example Program Results"); - - /* Read data file */ - - if (args.length != 1) { - usage(); - } - BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); - String line; - - // Skip heading in data file - line = dataIn.readLine(); - - // Read n, m - line = dataIn.readLine(); - String[] data = line.split(":")[0].trim().split("\\s+"); - if (data.length != 2) { - System.out.println("Data file badly formatted - expected 2 ints separated by blank spaces.\n" - + line + "\n"+Arrays.toString(data)); - System.exit(1); - } - n = Integer.parseInt(data[0]); - m = Integer.parseInt(data[1]); - - // Read ne, iobj, ncolh, start, nname - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - if (data.length != 5) { - System.out.println("Data file badly formatted - expected 5 ints separated by blank spaces"); - System.exit(1); - } - ne = Integer.parseInt(data[0]); - iobj = Integer.parseInt(data[1]); - ncolh = Integer.parseInt(data[2]); - start = data[3].replaceAll("'",""); - nname = Integer.parseInt(data[4]); - - // Allocate - inda = new int[ne]; - loca = new int[n+1]; - helast = new int[n+m]; - hs = new int[n+m]; - acol = new double[ne]; - bl = new double[n+m]; - bu = new double[n+m]; - x = new double[n+m]; - pi = new double[m]; - rc = new double[n+m]; - names = new String[nname]; - - // Read names - line = dataIn.readLine(); // skipping blank line - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - int nameIndex = 0; - int dataIndex = 0; - while (nameIndex < nname) { - names[nameIndex] = data[dataIndex].replaceAll("'", ""); - ++nameIndex; - ++dataIndex; - if (nameIndex < nname && dataIndex == data.length) { - //need to read one more line - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - dataIndex = 0; - } - } - - // Read matrix - line = dataIn.readLine(); // skipping blank line - int locaIndex = 0; - int currentCol = 0; - for (i = 0; i < ne; ++i) { - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - if (data.length != 3) { - System.out.println("The line is not well formatted for input of A:\n\t"+line); - System.exit(1); - } - acol[i] = Double.parseDouble(data[0].replaceAll("d", "e").replaceAll("D", "e")); - inda[i] = Integer.parseInt(data[1]); - if (i == 0) { - loca[locaIndex] = 1;//storing for Fortran use: 1-based - ++locaIndex; - ++currentCol; - } - else { - int tmp = Integer.parseInt(data[2]); - if (tmp != currentCol) { - loca[locaIndex] = i+1; - ++currentCol; - ++locaIndex; - } - } - } - loca[n] = ne + 1; - - // Read bl - line = dataIn.readLine(); // skipping blank line - int blindex = 0; - dataIndex = 0; - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - while (blindex < bl.length) { - bl[blindex] = Double.parseDouble(data[dataIndex].replaceAll("d", "e").replaceAll("D", "e")); - ++blindex; - ++dataIndex; - if (blindex < bl.length && dataIndex == data.length) { - //need to read one more line - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - dataIndex = 0; - } - } - - // Read bu - line = dataIn.readLine(); // skipping blank line - int buindex = 0; - dataIndex = 0; - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - while (buindex < bu.length) { - bu[buindex] = Double.parseDouble(data[dataIndex].replaceAll("d", "e").replaceAll("D", "e")); - ++buindex; - ++dataIndex; - if (buindex < bu.length && dataIndex == data.length) { - //need to read one more line - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - dataIndex = 0; - } - } - - // Read hs - line = dataIn.readLine(); // skipping blank line - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - if (start.equalsIgnoreCase("C")) { - if (data.length != n) { - System.out.println("Wrong format for HS data.\n"); - System.exit(1); - } - } - else { - if (data.length != n+m) { - System.out.println("Wrong format for HS data.\n"); - System.exit(1); - } - } - for (i = 0; i < data.length; ++i) { - hs[i] = Integer.parseInt(data[i]); - } - - // Read x - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - if (data.length != n) { - System.out.println("Wrong format for X data."); - System.exit(1); - } - for (i = 0; i < data.length; ++i) { - x[i] = Double.parseDouble(data[i].replaceAll("d", "e").replaceAll("D", "e")); - } - - /* Done reading data file */ - - System.out.printf(" \n QP problem contains %3d variables and %3d linear constraints\n", n, m); - - /* Call E04NP to initialize E04NQ. */ - E04NP e04np = new E04NP(); - ifail = 0; - e04np.eval(cw,LENCW,iw,LENIW,rw,LENRW,ifail); - - /* Set this to .True. to cause e04nqf to produce intermediate - * progress output. */ - verboseOutput = true; - - if (verboseOutput) { - /* By default e04nqf does not print monitoring - * information. Set the print file unit or the summary - * file unit to get information. */ - E04NT e04nt = new E04NT(); - ifail = 0; - e04nt.eval("Print file", NOUT, cw, iw, rw, ifail); - } - - /* We have no explicit objective vector so set LENC = 0; the - * objective vector is stored in row IOBJ of ACOL. */ - lenc = 0; - c = new double[Math.max(1,lenc)]; - objadd = 0.0; - sinf = 0.0; - obj = Double.NaN; - prob = " "; - - /* Do not allow any elastic variables (i.e. they cannot be - * infeasible). If we'd set optional argument "Elastic mode" to 0, - * we wouldn't need to set the individual elements of array HELAST. */ - - for (int j = 0; j < (n+m); j++) { - helast[j] = 0; - } - - /* Solve the QP problem. */ - - E04NQ e04nq = new E04NQ(); - ifail = 0; - ns = 0; - ninf = 0; - e04nq.eval(start,new QPHX(ncolh),m,n,ne,nname,lenc,ncolh,iobj,objadd,prob,acol, - inda,loca,bl,bu,c,names,helast,hs,x,pi,rc,ns,ninf,sinf,obj,cw,LENCW, - iw,LENIW,rw,LENRW,cuser,iuser,ruser,ifail); - - System.out.println(); - System.out.printf(" Final objective value = %11.3E\n",e04nq.getOBJ()); - System.out.print(" Optimal X = "); - for (i = 0; i < n; ++i) { - System.out.printf("%9.2f ", x[i]); - } - System.out.println(); - - } - - private static void usage() { - System.out.println("Usage:\n" - + "\tjava -cp " + File.separator + "NAGJava.jar" + File.pathSeparator - + ". E04NQJE " + File.separator + "e04nqfe.d"); - System.exit(1); - } - - public static class QPHX implements E04NQ.E04NQ_QPHX { - - private int NCOLHREF; - - public QPHX(int NCOLHREF) { - this.NCOLHREF = NCOLHREF; - } - - // @Override - public void eval(int NCOLH, double[] X, double[] HX, int NSTATE, - String[] CUSER, int[] IUSER, double[] RUSER) { - - if (NCOLH != NCOLHREF) { - System.out.println("NCOLH value is wrong!"); - System.out.println("TEST FAILED"); - System.exit(1); - } - HX[0] = 2.0*X[0]; - HX[1] = 2.0*X[1]; - HX[2] = 2.0*(X[2]+X[3]); - HX[3] = HX[2]; - HX[4] = 2.0*X[4]; - HX[5] = 2.0*(X[5]+X[6]); - HX[6] = HX[5]; - - } - - private String[] CUSER; - private double[] HX,RUSER,X; - private int[] IUSER; - private int NCOLH, NSTATE; - - // @Override - public String[] getCUSER() { - return CUSER; - } - - // @Override - public double[] getHX() { - return HX; - } - - // @Override - public int[] getIUSER() { - return IUSER; - } - - // @Override - public int getNCOLH() { - return NCOLH; - } - - // @Override - public int getNSTATE() { - return NSTATE; - } - - // @Override - public double[] getRUSER() { - return RUSER; - } - - // @Override - public double[] getX() { - return X; - } - - // @Override - public void setCUSER(String[] arg0) { - CUSER = arg0; - - } - - // @Override - public void setHX(double[] arg0) { - HX = arg0; - - } - - // @Override - public void setIUSER(int[] arg0) { - IUSER = arg0; - - } - - // @Override - public void setNCOLH(int arg0) { - NCOLH = arg0; - - } - - // @Override - public void setNSTATE(int arg0) { - NSTATE = arg0; - - } - - // @Override - public void setRUSER(double[] arg0) { - RUSER = arg0; - - } - - // @Override - public void setX(double[] arg0) { - X = arg0; - - } - - } - - - - -} diff --git a/simple_examples/int32/E04PTJE.java b/simple_examples/int32/E04PTJE.java deleted file mode 100644 index 75303ac..0000000 --- a/simple_examples/int32/E04PTJE.java +++ /dev/null @@ -1,344 +0,0 @@ -import com.nag.routines.E04.E04PT; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RB; -import com.nag.routines.E04.E04RE; -import com.nag.routines.E04.E04RH; -import com.nag.routines.E04.E04RJ; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04ZM; -import com.nag.routines.F08.DSYEVD; -import java.util.Arrays; - -/** - * E04PTJ example program text. - * @author joed - * @since 27.0.0.0 - */ -public class E04PTJE { - - - /** - * Monitoring function can be used to monitor the progress - * or, for example, to implement bespoke stopping criteria. - */ - private static class MONIT extends E04PT.Abstract_E04PT_MONIT { - - public void eval() { - - double tol = RUSER[0]; - int tolReached = IUSER[1]; - - // If x is close to the solution, print a message - if ((RINFO[14] < tol) && (RINFO[15] < tol) && (RINFO[16] < tol) && (RINFO[17] < tol)) { - if (tolReached == 0) { - System.out.println(); - System.out.printf("monit() reports good approximate solution (tol = %9.2E)\n", tol); - IUSER[1] = 1; - } - } - - } - - } - - - /** - * E04PTJ example main program. - */ - public static void main(String[] args) { - - DSYEVD dsyevd = new DSYEVD(); - E04PT e04pt = new E04PT(); - E04RA e04ra = new E04RA(); - E04RB e04rb = new E04RB(); - E04RE e04re = new E04RE(); - E04RH e04rh = new E04RH(); - E04RJ e04rj = new E04RJ(); - E04RZ e04rz = new E04RZ(); - E04ZM e04zm = new E04ZM(); - MONIT monit = new MONIT(); - - final int nqc = 1; - long cpuser, handle; - double r1; - int i, idgroup, idlc, idxa, ifail, j, liwork, lwork, m, n, na, nnza, nnzp0, - nnzp1, nnzu, nnzuc, nu, nv, nvarc1, nvarc2, rptr, xIdx; - boolean verboseOutput; - String ctype1, ctype2; // Length must be 8 - double[] a, bla, bua, c, f0, f1, lambda0, lambda1, p0, p1, q0, q1, u, uc, - work, x, xl, xu; - double[] rinfo = new double[100], ruser = new double[1], stats = new double[100]; - int[] icola, icolp0, icolp1, idxc1, idxc2, irowa, irowp0, irowp1, iwork; - int[] iuser = new int[2]; - - System.out.println("E04PTJ Example Program Results\n"); - - // Dimensions of the problem - n = 3; - nnzp0 = 6; - nnzp1 = 6; - - // Initialize size of linear constraints in SOCP - m = nqc; - na = n + nqc + 1; - nnza = nqc + n; - - // Initialize size of cone constraints - nvarc1 = 2; - nvarc2 = 2; - - // Set problem data - lwork = Math.max(2*n*n+6*n+1, 120+9*n); - liwork = 5*n + 3; - irowp0 = new int[]{1, 2, 3, 2, 3, 3}; - icolp0 = new int[]{1, 1, 1, 2, 2, 3}; - p0 = new double[]{0.493, 0.382, 0.270, 0.475, 0.448, 0.515}; - irowp1 = new int[]{1, 2, 3, 2, 3, 3}; - icolp1 = new int[]{1, 1, 1, 2, 2, 3}; - p1 = new double[]{0.737, 0.453, 1.002, 0.316, 0.635, 1.590}; - q0 = new double[]{0.847, 0.08, 0.505}; - q1 = new double[]{0.065, 0.428, 0.097}; - r1 = 1.276; - f0 = new double[n*n]; - f1 = new double[n*n]; - lambda0 = new double[n]; - lambda1 = new double[n]; - work = new double[lwork]; - iwork = new int[liwork]; - - // Store full P0 and P1 in F0 and F1 - Arrays.fill(f0, 0.0); - for (i = 0; i < nnzp0; i++) { - f0[getIdx(irowp0[i], icolp0[i], n)] = p0[i]; - } - Arrays.fill(f1, 0.0); - for (i = 0; i < nnzp1; i++) { - f1[getIdx(irowp1[i], icolp1[i], n)] = p1[i]; - } - - // Factorize P0 and P1 via eigenvalue decomposition - ifail = 0; - dsyevd.eval("V", "L", n, f0, n, lambda0, work, lwork, iwork, liwork, ifail); - dsyevd.eval("V", "L", n, f1, n, lambda1, work, lwork, iwork, liwork, ifail); - - // Fomulate F0 and F1 in P0 = F0'*F0, P1 = F1'*F1 - nu = 0; - nv = 0; - for (i = 1; i <= n; i++) { - if (lambda0[i-1] > 0) { - for (j = 1; j <= n; j++) { - f0[getIdx(j,i,n)] *= Math.sqrt(lambda0[i-1]); - } - m++; - nu++; - nnza += n; - } - if (lambda1[i-1] > 0) { - for (j = 1; j <= n; j++) { - f1[getIdx(j,i,n)] *= Math.sqrt(lambda1[i-1]); - } - m++; - nv++; - nnza += n; - } - } - nnza += nu + nv; - na += nu+ nv; - nvarc1 += nu; - nvarc2 += nv; - - // Add two fixed variable for two rotated quadratic cones - na += 2; - m += 2; - nnza += 2; - - // Compute size of multipliers - nnzu = 2*na + 2*m; - nnzuc = nvarc1 + nvarc2; - - // Initialize arrays to build SOCP - icola = new int[nnza]; - irowa = new int[nnza]; - a = new double[nnza]; - bla = new double[m]; - bua = new double[m]; - xl = new double[na]; - xu = new double[na]; - c = new double[na]; - x = new double[na]; - u = new double[nnzu]; - uc = new double[nnzuc]; - idxc1 = new int[nvarc1]; - idxc2 = new int[nvarc2]; - - // Build objective function parameter c - // [x, t1, u, v, y1, y2, t0] - Arrays.fill(c, 0.0); - for (j = 0; j < n; j++) { - c[j] = q0[j]; - } - c[na-1] = 1.0; - - // Build linear constraints parameter A - idxa = 0; - rptr = 0; - // q1 in First row - rptr++; - Arrays.fill(irowa, 0, n, rptr); - for (j = 0; j < n; j++) { - icola[j] = j+1; - a[j] = q1[j]; - } - idxa += n; - - // F0 in F0*x-u=0 row - for (i = 1; i <= n; i++) { - if (lambda0[i-1] > 0) { - rptr += 1; - for (j = 0; j < n; j++) { - irowa[idxa+j] = rptr; - icola[idxa+j] = j+1; - a[idxa+j] = f0[getIdx(j+1,i,n)]; - } - idxa += n; - } - } - // F1 in F1*x-v=0 row - for (i = 1; i <= n; i++) { - if (lambda1[i-1] > 0) { - rptr += 1; - for (j = 0; j < n; j++) { - irowa[idxa+j] = rptr; - icola[idxa+j] = j+1; - a[idxa+j] = f1[getIdx(j+1,i,n)]; - } - idxa += n; - } - } - // Rest of A, a diagonal matrix - for (j = 0; j < m; j++) { - irowa[idxa+j] = j+1; - icola[idxa+j] = n+j+1; - a[idxa+j] = 1.0; - } - for (j = 1; j < (nu+nv+1); j++) { - a[idxa+j] = -1.0; - } - // RHS in linear constraints - Arrays.fill(bla, 0.0); - Arrays.fill(bua, 0.0); - bla[0] = -r1; - bua[0] = -r1; - for (j = (m-nqc); j <= m; j++) { - bla[j-1] = 1.0; - bua[j-1] = 1.0; - } - - // Box constraints, all variables are free - Arrays.fill(xl, -1E+20); - Arrays.fill(xu, 1E+20); - - // Cone constraints - // First cone - idxc1[0] = na; - idxc1[1] = n + 1 + nu + nv + 1; - for (j = 2; j < nvarc1; j++) { - idxc1[j] = n + j; - } - ctype1 = "RQUAD "; - // Second cone - idxc2[0] = n + 1; - idxc2[1] = n + 1 + nu + nv + 2; - for (j = 2; j < nvarc2; j++) { - idxc2[j] = n + nu + j; - } - ctype2 = "RQUAD "; - - // Create the problem handle - handle = 0; - ifail = 0; - e04ra.eval(handle, na, ifail); - handle = e04ra.getHANDLE(); - - // Set objective function - ifail = 0; - e04re.eval(handle, na, c, ifail); - - // Set box constraints - ifail = 0; - e04rh.eval(handle, na, xl, xu, ifail); - - // Set linear constraints - ifail = 0; - idlc = 0; - e04rj.eval(handle, m, bla, bua, nnza, irowa, icola, a, idlc, ifail); - idlc = e04rj.getIDLC(); - - // Set first cone constraint - ifail = 0; - idgroup = 0; - e04rb.eval(handle, ctype1, nvarc1, idxc1, idgroup, ifail); - idgroup = e04rb.getIDGROUP(); - - // Set first cone constraint - ifail = 0; - idgroup = 0; - e04rb.eval(handle, ctype2, nvarc2, idxc2, idgroup, ifail); - idgroup = e04rb.getIDGROUP(); - - // Turn on monitoring - ifail = 0; - e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); - - /* Set this to true to cause e04pt to produce intermediate - * progress output */ - verboseOutput = false; - - if (verboseOutput) { - // Require printing of primal and dual solutions at the end of the solve - ifail = 0; - e04zm.eval(handle, "Print Solution = YES", ifail); - } - else { - // Turn off printing of intermediate progress output - ifail = 0; - e04zm.eval(handle, "Print Level = 1", ifail); - } - - // Call SOCP interior point solver - cpuser = 0; - iuser[0] = 0; // unused in this example - iuser[1] = 0; - ruser[0] = 1.0E-7; - ifail = -1; - e04pt.eval(handle, na, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, - ruser, cpuser, ifail); - ifail = e04pt.getIFAIL(); - - // Print solution if optimal or suboptimal solution found - if (ifail == 0 || ifail == 50) { - System.out.println(" Optimal X:"); - System.out.println(" x_idx Value "); - for (xIdx = 1; xIdx <= n; xIdx++) { - System.out.printf(" %5d %11.3E\n", xIdx, x[xIdx-1]); - } - } - - // Free the handle memory - ifail = 0; - e04rz.eval(handle, ifail); - - } - - - /** - * Convert from 2D Fortran index to 1D-column major Java index. - * @param x 1-based row index for a 2D array - * @param y 1-based column index for a 2D array - * @return the corresponding 0-based index for a 1D column-major array - */ - private static int getIdx(int x, int y, int dimX) { - return ((y-1) * dimX) + (x-1); - } - -} diff --git a/simple_examples/int32/E04RPJE.java b/simple_examples/int32/E04RPJE.java deleted file mode 100644 index d22d3d1..0000000 --- a/simple_examples/int32/E04RPJE.java +++ /dev/null @@ -1,199 +0,0 @@ -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RE; -import com.nag.routines.E04.E04RN; -import com.nag.routines.E04.E04RP; -import com.nag.routines.E04.E04RY; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04SV; - -/** - * E04RPJ Example Program Text - * @author willa - * @since 27.1.0.0 - */ - -public class E04RPJE{ - - /** - * E04RPJ Example main program - */ - public static void main(String[] args){ - int blkidx, dimaq, idblk, idlc, idx, idxend, ifail, inform, midx, nblk, nclin, - nnzasum, nnzb, nnzc, nnzh, nnzqsum, nnzu, nnzua, nnzuc, nq, nvar; - double[] a, b, bl, bu, cvec, h, q, x, rdummy, rinfo, stats; - int[] icola, icolb, icolh, icolq, idxc, irowa, irowb, irowh, irowq, nnza, - nnzq, qi, qj, idummy; - long cpuser, handle; - - rdummy = new double[1]; - rinfo = new double[32]; - stats = new double[32]; - idummy = new int[1]; - - System.out.println("E04RPJ Example Program Results"); - System.out.println(); - - //Problem size - nvar = 5; - nnzh = 0; - nclin = 0; - nnzb = 0; - nblk = 2; - - //Initialize handle to an empty problem - E04RA e04ra = new E04RA(); - handle = 0; - ifail = 0; - e04ra.eval(handle, nvar, ifail); - handle = e04ra.getHANDLE(); - - //Linear part of the objective function - cvec = new double[nvar]; - cvec[0] = 1; - cvec[1] = 0; - cvec[2] = 1; - cvec[3] = 0; - cvec[4] = 0; - - //Add the linear objetive function to the problem formulation - ifail = 0; - E04RE e04re = new E04RE(handle, nvar, cvec, ifail); - e04re.eval(); - - //Matrix inequalities - //block 1 - dimaq = 2; - nnzasum = 9; nnzqsum = 8; - idblk = 0; - - nnza = new int[nvar + 1]; - irowa = new int[nnzasum]; - icola = new int[nnzasum]; - a = new double[nnzasum]; - - nnza[0] = 2; - nnza[1] = 2; - nnza[2] = 3; - nnza[3] = 2; - nnza[4] = 0; - nnza[5] = 0; - - a[0] = 1.0; irowa[0] = 1; icola[0] = 1; - a[1] = 1.0; irowa[1] = 2; icola[1] = 2; - a[2] = 2.0; irowa[2] = 1; icola[2] = 1; - a[3] = -2.0; irowa[3] = 1; icola[3] = 2; - a[4] = 6.0; irowa[4] = 1; icola[4] = 1; - a[5] = 5.0; irowa[5] = 1; icola[5] = 2; - a[6] = -4.0; irowa[6] = 2; icola[6] = 2; - a[7] = 3.0; irowa[7] = 1; icola[7] = 2; - a[8] = 8.0; irowa[8] = 2; icola[8] = 2; - - idblk = 0; - ifail = 0; - //Add the linear matrix inequality to the problem formulation - E04RN e04rn = new E04RN(handle,nvar,dimaq,nnza,nnzasum,irowa,icola,a,1, - idummy,idblk,ifail); - e04rn.eval(); - //update - idblk = e04rn.getIDBLK(); - - nq = 6; - - qi = new int[nq]; - qj = new int[nq]; - nnzq = new int[nq]; - irowq = new int[nnzqsum]; - icolq = new int[nnzqsum]; - q = new double[nnzqsum]; - - qi[0] = 1; qj[0] = 4; - qi[1] = 2; qj[1] = 4; - qi[2] = 3; qj[2] = 4; - qi[3] = 1; qj[3] = 5; - qi[4] = 2; qj[4] = 5; - qi[5] = 3; qj[5] = 5; - - nnzq[0] = 1; - nnzq[1] = 2; - nnzq[2] = 1; - nnzq[3] = 1; - nnzq[4] = 2; - nnzq[5] = 1; - - q[0] = 2.0; irowq[0] = 1; icolq[0] = 1; - q[1] = 2.0; irowq[1] = 1; icolq[1] = 1; - q[2] = 1.0; irowq[2] = 1; icolq[2] = 2; - q[3] = 1.0; irowq[3] = 1; icolq[3] = 2; - q[4] = 1.0; irowq[4] = 1; icolq[4] = 2; - q[5] = 1.0; irowq[5] = 1; icolq[5] = 2; - q[6] = 2.0; irowq[6] = 2; icolq[6] = 2; - q[7] = 2.0; irowq[7] = 2; icolq[7] = 2; - - ifail = 0; - //Expand the existing linear matrix inequality with bilnear term - E04RP e04rp = new E04RP(handle,nq,qi,qj,dimaq,nnzq,nnzqsum,irowq,icolq, - q,idblk,ifail); - e04rp.eval(); - - //block 2 - dimaq = 2; - nnzasum = 5; - nnza = new int[nvar + 1]; - irowa = new int[nnzasum]; - icola = new int[nnzasum]; - a = new double[nnzasum]; - - nnza[0] = 2; - nnza[1] = 1; - nnza[2] = 1; - nnza[3] = 1; - nnza[4] = 0; - nnza[5] = 0; - - a[0] = 1.0; irowa[0] = 1; icola[0] = 1; - a[1] = 1.0; irowa[1] = 2; icola[1] = 2; - a[2] = 1.0; irowa[2] = 1; icola[2] = 1; - a[3] = 1.0; irowa[3] = 1; icola[3] = 2; - a[4] = 1.0; irowa[4] = 2; icola[4] = 2; - - idblk = 0; - ifail = 0; - //Add the linear matrix inequality to the problem formulation - e04rn = new E04RN(handle,nvar,dimaq,nnza,nnzasum,irowa,icola,a,1, - idummy,idblk,ifail); - e04rn.eval(); - - System.out.println("Passing SDP problem to solver"); - System.out.println(); - - ifail = 0; - //Print overview of handle - //nout = 6 is default output for fortran - E04RY e04ry = new E04RY(handle,6,"Overview,Matrix Constraints",ifail); - e04ry.eval(); - - //Allocate memory for the solver - x = new double[nvar]; - nnzu = 0; - nnzuc = 0; - nnzua = 0; - inform = 0; - for(int i = 0; i < nvar; i++){ - x[i] = 0.0; - } - - ifail = 0; - E04SV e04sv = new E04SV(handle,nvar,x,nnzu,rdummy,nnzuc,rdummy,nnzua,rdummy, - rinfo,stats,inform,ifail); - e04sv.eval(); - - //Destroy handle - ifail = 0; - E04RZ e04rz = new E04RZ(handle,ifail); - e04rz.eval(); - } - -} - - - diff --git a/simple_examples/int32/E04RSJE.java b/simple_examples/int32/E04RSJE.java deleted file mode 100644 index d614fbb..0000000 --- a/simple_examples/int32/E04RSJE.java +++ /dev/null @@ -1,229 +0,0 @@ -import com.nag.routines.E04.E04RS; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04ZM; -import com.nag.routines.E04.E04PT; -import com.nag.routines.E04.E04RZ; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * E04RS - */ -public class E04RSJE { - - public static void main(String[] args) { - - final int nout = 6; - - long cpuser, handle = 0; - double s = 0.0; - int idqc, ifail, n = 0, nnzq0 = 0, nnzq1 = 0, nnzu, nnzuc, x_idx; - boolean verbose_output; - - double[] q0 = null, q1 = null, r0 = null, r1 = null, u, uc, x; - double[] rinfo = new double[100]; - double[] ruser = new double[1]; - double[] stats = new double[100]; - int[] icolq0 = null, icolq1 = null, idxr0 = null, idxr1 = null, irowq0 = null, irowq1 = null; - int[] iuser = new int[2]; - - System.out.println(" E04RSJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); // skip header - - // Read dimensions of the problem - line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - nnzq0 = Integer.parseInt(sVal[1]); - nnzq1 = Integer.parseInt(sVal[2]); - - // Allocate memory to read data - irowq0 = new int[nnzq0]; - icolq0 = new int[nnzq0]; - q0 = new double[nnzq0]; - irowq1 = new int[nnzq1]; - icolq1 = new int[nnzq1]; - q1 = new double[nnzq1]; - idxr0 = new int[n]; - r0 = new double[n]; - idxr1 = new int[n]; - r1 = new double[n]; - - // Read problem data - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq0; i++) { - irowq0[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq0; i++) { - icolq0[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq0; i++) { - q0[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq1; i++) { - irowq1[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq1; i++) { - icolq1[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq1; i++) { - q1[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < n; i++) { - idxr0[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < n; i++) { - r0[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < n; i++) { - idxr1[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < n; i++) { - r1[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - s = Double.parseDouble(sVal[0]); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Compute size of multipliers - // One quadratic constraint in the model will have - // 2 multipliers for both bounds - nnzu = 2; - // No cone constraint in the model, so set nnzuc to 0 - nnzuc = 0; - - // Allocate memory for final results - x = new double[n]; - u = new double[nnzu]; - uc = new double[nnzuc]; - - // Create the problem handle - ifail = 0; - E04RA e04ra = new E04RA(); - e04ra.eval(handle, n, ifail); - handle = e04ra.getHANDLE(); - - // Set objective function - idqc = -1; - ifail = 0; - E04RS e04rs = new E04RS(); - e04rs.eval(handle, 0.0, n, idxr0, r0, nnzq0, irowq0, icolq0, q0, idqc, ifail); - - // Set quadratic constraint - idqc = 0; - ifail = 0; - e04rs.eval(handle, s, n, idxr1, r1, nnzq1, irowq1, icolq1, q1, idqc, ifail); - - // Turn on monitoring - ifail = 0; - E04ZM e04zm = new E04ZM(); - e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); - - // Set this to True to cause e04ptf to produce intermediate progress output - verbose_output = false; - - if (verbose_output) { - // Require printing of primal and dual solutions at the end of the solve - ifail = 0; - e04zm.eval(handle, "Print Solution = YES", ifail); - } else { - // Turn off printing of intermediate progress output - ifail = 0; - e04zm.eval(handle, "Print Level = 1", ifail); - } - - // Call SOCP interior point solver - cpuser = 0; - iuser[0] = nout; - iuser[1] = 0; - ruser[0] = 1.0e-07; - ifail = -1; - E04PT e04pt = new E04PT(); - MONIT monit = new MONIT(); - e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - ifail = e04pt.getIFAIL(); - - // Print solution if optimal or suboptimal solution found - if ((ifail == 0) || (ifail == 50)) { - System.out.println(" Optimal X:"); - System.out.println(" x_idx Value "); - for (x_idx = 0; x_idx < n; x_idx++) { - System.out.printf(" %5d %11.3e\n", x_idx, x[x_idx]); - } - } - - // Free the handle memory - ifail = 0; - E04RZ e04rz = new E04RZ(); - e04rz.eval(handle, ifail); - } - - public static class MONIT extends E04PT.Abstract_E04PT_MONIT { - - public void eval() { - double tol; - int nout, tol_reached; - - nout = this.IUSER[0]; - tol_reached = this.IUSER[1]; - tol = this.RUSER[0]; - - // If x is close to the solution, print a message - if ((this.RINFO[14] < tol) && (this.RINFO[15] < tol) && (this.RINFO[16] < tol) && (this.RINFO[17] < tol)) { - if (tol_reached == 0) { - System.out.printf("\n monit() reports good approximate solution (tol =%9.2e)\n", tol); - this.IUSER[1] = 1; - } - } - } - } -} diff --git a/simple_examples/int32/E04RTJE.java b/simple_examples/int32/E04RTJE.java deleted file mode 100644 index dd4bce8..0000000 --- a/simple_examples/int32/E04RTJE.java +++ /dev/null @@ -1,225 +0,0 @@ -import com.nag.routines.E04.E04RT; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RJ; -import com.nag.routines.E04.E04ZM; -import com.nag.routines.E04.E04PT; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04RH; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * E04RT example program text. - */ -public class E04RTJE { - - public static void main(String[] args) { - - final int nout = 6; - - long cpuser, handle = 0; - int i, idlc, idqc, ifail, j, m = 0, n = 0, nnza = 0, nnzu, nnzuc, x_idx; - boolean verbose_output; - - double[] a = null, b = null, r0 = null, u, uc, x, xl = null, xu = null; - double[] lc = new double[3]; - double[] lc_rhs = new double[1]; - double[] rinfo = new double[100]; - double[] ruser = new double[1]; - double[] stats = new double[100]; - int[] icola = null, idxr0 = null, irowa = null; - int[] icollc = new int[3]; - int[] irowlc = new int[3]; - int[] iuser = new int[2]; - - System.out.println(" E04RTJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); // skip header - - // Read dimensions of the problem - line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - m = Integer.parseInt(sVal[1]); - nnza = Integer.parseInt(sVal[2]); - - // Allocate memory to read data - a = new double[nnza]; - icola = new int[nnza]; - irowa = new int[nnza]; - idxr0 = new int[n]; - r0 = new double[n]; - b = new double[m]; - xl = new double[n]; - xu = new double[n]; - - // Read problem data - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < nnza; i++) { - irowa[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < nnza; i++) { - icola[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < nnza; i++) { - a[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < m; i++) { - b[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - xl[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - xu[i] = Double.parseDouble(sVal[i]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Compute -2*b'A as linear term in quadratic function - for (j = 0; j < n; j++) { - r0[j] = 0.0; - idxr0[j] = j + 1; - } - for (i = 0; i < nnza; i++) { - r0[icola[i] - 1] = r0[icola[i] - 1] + a[i] * b[irowa[i] - 1]; - } - - // Compute size of multipliers - // One linear constraint in the model will have - // 2 multipliers for both bounds - nnzu = 2 * n + 2; - // No cone constraint in the model, so set nnzuc to 0 - nnzuc = 0; - - // Allocate memory for final results - x = new double[n]; - u = new double[nnzu]; - uc = new double[nnzuc]; - - // Create the problem handle - ifail = 0; - E04RA e04ra = new E04RA(); - e04ra.eval(handle, n, ifail); - handle = e04ra.getHANDLE(); - - // Set quadratic objective function - idqc = -1; - ifail = 0; - E04RT e04rt = new E04RT(); - e04rt.eval(handle, 0.0, n, idxr0, r0, m, nnza, irowa, icola, a, idqc, ifail); - - // Set box constraints - ifail = 0; - E04RH e04rh = new E04RH(); - e04rh.eval(handle, n, xl, xu, ifail); - - // Set linear constraint: x1 + x2 + x3 = 1 - for (j = 0; j < n; j++) { - irowlc[j] = 1; - icollc[j] = j + 1; - lc[j] = 1.0; - } - lc_rhs[0] = 1.0; - ifail = 0; - idlc = 0; - E04RJ e04rj = new E04RJ(); - e04rj.eval(handle, 1, lc_rhs, lc_rhs, 3, irowlc, icollc, lc, idlc, ifail); - - // Turn on monitoring - ifail = 0; - E04ZM e04zm = new E04ZM(); - e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); - - // Set this to True to cause e04ptf to produce intermediate progress output - verbose_output = false; - - if (verbose_output) { - // Require printing of primal and dual solutions at the end of the solve - ifail = 0; - e04zm.eval(handle, "Print Solution = YES", ifail); - } else { - // Turn off printing of intermediate progress output - ifail = 0; - e04zm.eval(handle, "Print Level = 1", ifail); - } - - // Call SOCP interior point solver - cpuser = 0; - iuser[0] = nout; - iuser[1] = 0; - ruser[0] = 1.0e-07; - ifail = -1; - E04PT e04pt = new E04PT(); - MONIT monit = new MONIT(); - e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - ifail = e04pt.getIFAIL(); - - // Print solution if optimal or suboptimal solution found - if ((ifail == 0) || (ifail == 50)) { - System.out.println(" Optimal X:"); - System.out.println(" x_idx Value "); - for (x_idx = 0; x_idx < n; x_idx++) { - System.out.printf(" %5d %11.3e\n", x_idx, x[x_idx]); - } - } - - // Free the handle memory - ifail = 0; - E04RZ e04rz = new E04RZ(); - e04rz.eval(handle, ifail); - } - - public static class MONIT extends E04PT.Abstract_E04PT_MONIT { - - public void eval() { - double tol; - int nout, tol_reached; - - nout = this.IUSER[0]; - tol_reached = this.IUSER[1]; - tol = this.RUSER[0]; - - // If x is close to the solution, print a message - if ((this.RINFO[14] < tol) && (this.RINFO[15] < tol) && (this.RINFO[16] < tol) && (this.RINFO[17] < tol)) { - if (tol_reached == 0) { - System.out.printf("\n monit() reports good approximate solution (tol =%9.2e)\n", tol); - this.IUSER[1] = 1; - } - } - } - } - } diff --git a/simple_examples/int32/E04SAJE.java b/simple_examples/int32/E04SAJE.java deleted file mode 100644 index 325267b..0000000 --- a/simple_examples/int32/E04SAJE.java +++ /dev/null @@ -1,104 +0,0 @@ -import com.nag.routines.E04.E04RC; -import com.nag.routines.E04.E04SA; -import com.nag.routines.E04.E04ZM; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04PT; -import com.nag.routines.E04.E04PTU; - -/** - * E04SA example program text. - */ -public class E04SAJE { - - public static final String fname = "e04saje.opt"; - public static void main(String[] args) { - - long cpuser, handle = 0; - int ifail, n, nnzu, nnzuc, x_idx; - boolean verbose_output; - String ftype; - - double[] rinfo = new double[100]; - double[] ruser = new double[1]; - double[] stats = new double[100]; - double[] u, uc, x; - int[] iuser = new int[1]; - int[] pinfo = new int[100]; - - System.out.println(" E04SAJ Example Program Results"); - - // Read mps file to a handle - ifail = 0; - ftype = "mps"; - E04SA e04sa = new E04SA(); - e04sa.eval(handle, fname, ftype, pinfo, ifail); - handle = e04sa.getHANDLE(); - - // Get problem size from pinfo - pinfo = e04sa.getPINFO(); - n = pinfo[0]; - nnzu = pinfo[10]; - nnzuc = pinfo[11]; - - // Set all variables as continuous - ifail = 0; - E04RC e04rc = new E04RC(); - - int[] x_idx_Arr = new int[n]; - for (x_idx = 1; x_idx <= n; x_idx++) { - x_idx_Arr[x_idx - 1] = x_idx; - } - - e04rc.eval(handle, "CONT", n, x_idx_Arr, ifail); - - // Allocate memory - x = new double[n]; - u = new double[nnzu]; - uc = new double[nnzuc]; - - // Set this to .True. to cause e04ptf to produce intermediate progress output - verbose_output = false; - - E04ZM e04zm = new E04ZM(); - if (verbose_output) { - // Require printing of primal and dual solutions at the end of the solve - ifail = 0; - e04zm.eval(handle, "Print Solution = YES", ifail); - } else { - // Turn off printing of intermediate progress output - ifail = 0; - e04zm.eval(handle, "Print Level = 1", ifail); - } - - // Call SOCP interior point solver - cpuser = 0; - ifail = -1; - E04PT e04pt = new E04PT(); - MONIT monit = new MONIT(); - e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - ifail = e04pt.getIFAIL(); - - // Print solution if optimal or suboptimal solution found - if ((ifail == 0) || (ifail == 50)) { - System.out.println(" Optimal X:"); - System.out.println(" x_idx " + " Value "); - for (x_idx = 0; x_idx < n; x_idx++) { - System.out.printf(" %5d %12.5e\n", x_idx, x[x_idx]); - } - } - - // Free the handle memory - ifail = 0; - E04RZ e04rz = new E04RZ(); - e04rz.eval(handle, ifail); - } - - public static class MONIT extends E04PT.Abstract_E04PT_MONIT { - - public void eval() { - E04PTU e04ptu = new E04PTU(); - e04ptu.eval(this.HANDLE, this.RINFO, this.STATS, this.IUSER, this.RUSER, this.CPUSER, this.INFORM); - this.INFORM = e04ptu.getINFORM(); - } - } -} diff --git a/simple_examples/int32/E04TAJE.java b/simple_examples/int32/E04TAJE.java deleted file mode 100644 index 97cebe2..0000000 --- a/simple_examples/int32/E04TAJE.java +++ /dev/null @@ -1,188 +0,0 @@ -import com.nag.routines.E04.E04TA; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RE; -import com.nag.routines.E04.E04RH; -import com.nag.routines.E04.E04RJ; -import com.nag.routines.E04.E04ZM; -import com.nag.routines.E04.E04MT; -import com.nag.routines.E04.E04MTU; -import com.nag.routines.E04.E04TD; -import com.nag.routines.E04.E04TE; -import com.nag.routines.E04.E04TJ; -import com.nag.routines.E04.E04RW; -import com.nag.routines.E04.E04RZ; - -import java.util.Arrays; - -/** - * E04TA - */ -public class E04TAJE { - - public static void main(String[] args) { - - final double infbnd = 1.0e20; - - long cpuser, handle; - int idlc, ifail, ioflag, liarr, nclin, nnza, nnzu, nvar; - - double[] a, bla, bua, cvec, ulag, x, xl, xu; - - double[] rinfo = new double[100]; - double[] ruser = new double[1]; - double[] stats = new double[100]; - double[] u = new double[1]; - - int[] icola, irowa; - - int[] iuser = new int[1]; - int[] pinfo = new int[100]; - - System.out.println(" E04TAJ Example Program Results\n"); - System.out.println(" Solve the first LP\n"); - - handle = 0; - cpuser = 0; - - // Initialize the handle - nvar = 2; - ifail = 0; - E04RA e04ra = new E04RA(); - e04ra.eval(handle, nvar, ifail); - handle = e04ra.getHANDLE(); - - // Define the objective function - cvec = new double[nvar]; - cvec[0] = 2.0; - cvec[1] = 4.5; - ifail = 0; - E04RE e04re = new E04RE(); - e04re.eval(handle, nvar, cvec, ifail); - - // Box constraints - xl = new double[nvar]; - xu = new double[nvar]; - Arrays.fill(xl, 0.0); - xu[0] = infbnd; - xu[1] = 100.0; - ifail = 0; - E04RH e04rh = new E04RH(); - e04rh.eval(handle, nvar, xl, xu, ifail); - - // Set the linear constraints - idlc = 0; - nclin = 3; - nnza = 6; - bla = new double[nclin]; - bua = new double[nclin]; - irowa = new int[nnza]; - icola = new int[nnza]; - a = new double[nnza]; - Arrays.fill(bla, -infbnd); - bua = new double[] { - 1500.0, 6000.0, 16000.0 - }; - irowa = new int[] { - 1, 1, 2, 2, 3, 3 - }; - icola = new int[] { - 1, 2, 1, 2, 1, 2 - }; - a = new double[] { - 1.2, 3.0, 6.0, 10.0, 40.0, 80.0 - }; - ifail = 0; - E04RJ e04rj = new E04RJ(); - e04rj.eval(handle, nclin, bla, bua, nnza, irowa, icola, a , idlc, ifail); - - // Optional parameters - E04ZM e04zm = new E04ZM(); - e04zm.eval(handle, "Task = Max", ifail); - e04zm.eval(handle, "Print Options = No", ifail); - e04zm.eval(handle, "Print Level = 1", ifail); - e04zm.eval(handle, "Print Solution = X", ifail); - - // Call the LP solver - x = new double[nvar + 1]; - nnzu = 0; - ifail = -1; - E04MT e04mt = new E04MT(); - MONIT monit = new MONIT(); - e04mt.eval(handle, nvar, x ,nnzu, u, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - - // Add a variable - ifail = 0; - E04TA e04ta = new E04TA(); - e04ta.eval(handle, 1, nvar, ifail); - nvar = e04ta.getNVAR(); - - // Box constraint on the new variable - ifail = 0; - E04TD e04td = new E04TD(); - e04td.eval(handle, "variable", nvar, 0.0, 50.0, ifail); - - // Add the linear objective component - ifail = 0; - E04TE e04te = new E04TE(); - e04te.eval(handle, 3, 7.0, ifail); - - // Add linear constraints coefficients - E04TJ e04tj = new E04TJ(); - ifail = 0; - e04tj.eval(handle, 1, 3, 5.0, ifail); - ifail = 0; - e04tj.eval(handle, 2, 3, 12.0, ifail); - ifail = 0; - e04tj.eval(handle, 3, 3, 120.0, ifail); - - System.out.println("\n The new variable has been added, solve the handle again\n"); - - // Solve the problem again - ifail = -1; - e04mt.eval(handle, nvar, x, nnzu, u, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - - // Add a linear constraint - nclin = 1; - bla[0] = -infbnd; - bua[0] = 100.0; - nnza = 2; - irowa[0] = 1; - irowa[1] = 1; - icola[0] = 2; - icola[1] = 3; - a[0] = 1.0; - a[1] = 1.0; - idlc = 0; - e04rj.eval(handle, nclin, bla, bua ,nnza, irowa, icola, a ,idlc, ifail); - - System.out.println("\n The new constraint has been added, solve the handle again\n"); - - // Query the problem sizes to request the Lagrangian multipliers for the - // last solve - ioflag = 1; - liarr = 100; - E04RW e04rw = new E04RW(); - e04rw.eval(handle, "pinfo", ioflag, liarr, pinfo, ifail); - nnzu = pinfo[10]; - ulag = new double[nnzu]; - - // Solve the problem again - ifail = -1; - e04mt.eval(handle, nvar, x ,nnzu, ulag, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - - // Free the memory - ifail = 0; - E04RZ e04rz = new E04RZ(); - e04rz.eval(handle, ifail); - } - - public static class MONIT extends E04MT.Abstract_E04MT_MONIT { - - public void eval() { - E04MTU e04mtu = new E04MTU(); - e04mtu.eval(this.HANDLE, this.RINFO, this.STATS, this.IUSER, this.RUSER, - this.CPUSER, this.INFORM); - this.INFORM = e04mtu.getINFORM(); - } - } -} diff --git a/simple_examples/int32/E04TCJE.java b/simple_examples/int32/E04TCJE.java deleted file mode 100644 index d28d78b..0000000 --- a/simple_examples/int32/E04TCJE.java +++ /dev/null @@ -1,263 +0,0 @@ -import com.nag.routines.E04.E04FFU; -import com.nag.routines.E04.E04GG; -import com.nag.routines.E04.E04GGU; -import com.nag.routines.E04.E04GGV; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RM; -import com.nag.routines.E04.E04TB; -import com.nag.routines.E04.E04TC; -import com.nag.routines.E04.E04TD; -import com.nag.routines.E04.E04ZM; -import java.io.BufferedReader; -import java.io.FileReader; -import java.text.NumberFormat; -import java.util.logging.Level; -import java.util.logging.Logger; -import java.util.Arrays; - -/** - * E04TC example program text. - * @author Mo - */ -public class E04TCJE { - - public static void main(String[] args) { - double[] rx, x, udt, udy; - double[] rinfo = new double[100], ruser = new double[0], - stats = new double[100]; - int ifail, isparse, nnzrd, nres, nvar, udnres; - int[] icolrd = new int[0], irowrd = new int[0], iuser = new int[0]; - int[] idx; - long cpuser, handle; // c_ptr - LSQFUN lsqfun = new LSQFUN(); - LSQGRD lsqgrd = new LSQGRD(); - LSQHES lsqhes = new LSQHES(); - LSQHPRD lsqhprd = new LSQHPRD(); - MONIT monit = new MONIT(); - - /* Header */ - System.out.printf(" E04TCJ Example Program Results\n\n"); - try { - - handle = 0L; - cpuser = 0L; - - BufferedReader br = new BufferedReader(new FileReader(args[0])); - String line = br.readLine(); // read the header - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - String[] data = line.split("\\s+"); - - /* Read number of residuals */ - nres = Integer.parseInt(data[0]); - - udnres = nres; - - /* Allocate memory */ - udt = new double[nres]; - udy = new double[nres]; - - /* Read observations */ - - for (int ii = 0; ii < nres; ii += 3) { - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - for (int jj = 0; jj < 3; ++jj) { - udt[ii+jj] = Double.parseDouble(data[jj]); - } - } - - for (int ii = 0; ii < nres; ii += 3) { - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - for (int jj = 0; jj < 3; ++jj) { - udy[ii+jj] = Double.parseDouble(data[jj]); - } - } - - /* try to fit the model */ - /* f(t) = at^2 + bt + c + d sin(omega t) */ - /* To the data {(t_i, y_i)} */ - nvar = 5; - - /* Initialize the NAG optimization handle */ - E04RA e04ra = new E04RA(); - ifail = 0; // hard fail - e04ra.eval(handle, nvar, ifail); - handle = e04ra.getHANDLE(); - - /* Define a dense nonlinear least-squares objective function */ - /* (isparse = 0 => the sparsity pattern of the Jacobian */ - /* doesn't need to be defined) */ - E04RM e04rm = new E04RM(); - isparse = 0; - nnzrd = 1; - e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); - - /* Set some optional parameters to control the output of the solver */ - E04ZM e04zm = new E04ZM(); - e04zm.eval(handle, "Print Options = No", ifail); - e04zm.eval(handle, "Print Solution = X", ifail); - e04zm.eval(handle, "Print Level = 1", ifail); - - System.out.println("First solve the problem with the outliers"); - System.out.println(); - System.out.println("--------------------------------------------------------"); - - /* Call the solver */ - E04GG e04gg = new E04GG(); - x = new double[nvar]; - for (int ii = 0; ii < nvar; ++ii) { - x[ii] = 1.0; - } - rx = new double[nres]; - iuser = new int[] {udnres}; - ruser = new double[2 * udnres];; - for (int ii = 0; ii < udnres; ii++) { - ruser[ii] = udt[ii]; - ruser[udnres + ii] = udy[ii]; - } - ifail = -1; - e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, - rx, rinfo, stats, iuser, ruser, cpuser, ifail); - - System.out.println("--------------------------------------------------------"); - System.out.println(); - System.out.println("Now remove the outlier residuals from the problem handle"); - System.out.println(); - System.out.println("--------------------------------------------------------"); - - /* Disable the two outlier residuals */ - E04TC e04tc = new E04TC(); - idx = new int[] {10, 20}; - e04tc.eval(handle, "NLS", 2, idx, ifail); - - /* Solve the problem again */ - for (int ii = 0; ii < nvar; ++ii) { - x[ii] = 1.0; - } - ifail = -1; - e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, - rx, rinfo, stats, iuser, ruser, cpuser, ifail); - - System.out.println("--------------------------------------------------------"); - System.out.println(); - System.out.println("Assuming the outliers points are measured again"); - System.out.println("we can enable the residuals and adjust the values"); - System.out.println(); - System.out.println("--------------------------------------------------------"); - - /* Fix the first variable to its known value of 0.3 */ - /* enable the residuals and adjust the values in the data */ - E04TD e04td = new E04TD(); - e04td.eval(handle, "variable", 1, 0.3, 0.3, ifail); - E04TB e04tb = new E04TB(); - e04tb.eval(handle, "NLS", 2, idx, ifail); - udy[9] = -0.515629; - udy[19] = 0.54920; - - /* Solve the problem */ - for (int ii = 0; ii < nvar; ++ii) { - x[ii] = 1.0; - } - ifail = -1; - e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, - rx, rinfo, stats, iuser, ruser, cpuser, ifail); - - } - catch (Exception ex) { - Logger.getLogger(E04TCJE.class.getName()).log(Level.SEVERE, null, ex); - } - - } - - public static class LSQFUN extends E04GG.Abstract_E04GG_LSQFUN { - - public void eval() { - int udnres; - double[] udt, udy; - - /* Unpack the user data from cpuser */ - udnres = this.IUSER[0]; - udt = Arrays.copyOfRange(this.RUSER, 0, udnres); - udy = Arrays.copyOfRange(this.RUSER, udnres, udnres + udnres); - - for (int i = 0; i < this.NRES; i++) { - this.RX[i] = 0.0; - } - - for (int i = 0; i < this.NRES; i++) { - this.RX[i] = (this.X[0] * Math.pow(udt[i],2) + this.X[1] * udt[i] + - this.X[2] + this.X[3] * Math.sin(this.X[4] * udt[i])) - - udy[i]; - } - - this.INFORM = 0; - - } - - } - - public static class LSQGRD extends E04GG.Abstract_E04GG_LSQGRD { - - public void eval() { - int udnres; - double[] udt, udy; - - /* Unpack the user data from cpuser */ - udnres = this.IUSER[0]; - udt = Arrays.copyOfRange(this.RUSER, 0, udnres); - udy = Arrays.copyOfRange(this.RUSER, udnres, udnres + udnres); - - for (int i = 1; i <= this.NRES; i++) { - this.RDX[((i-1)*this.NVAR + 1) - 1] = Math.pow(udt[i-1],2); - this.RDX[((i-1)*this.NVAR + 2) - 1] = udt[i-1]; - this.RDX[((i-1)*this.NVAR + 3) - 1] = 1.0; - this.RDX[((i-1)*this.NVAR + 4) - 1] = Math.sin(this.X[4] * udt[i-1]); - this.RDX[((i-1)*this.NVAR + 5) - 1] = this.X[3] * udt[i-1] * - Math.cos(this.X[4] * udt[i-1]); - - } - - this.INFORM = 0; - - } - - } - - public static class LSQHES extends E04GG.Abstract_E04GG_LSQHES { - - public void eval() { - E04GGU e04ggu = new E04GGU(); - e04ggu.eval(this.NVAR, this.X, this.NRES, this.LAMBDA, this.HX, - this.INFORM, this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ggu.getINFORM(); - } - - } - - public static class LSQHPRD extends E04GG.Abstract_E04GG_LSQHPRD { - - public void eval() { - E04GGV e04ggv = new E04GGV(); - e04ggv.eval(this.NVAR, this.X, this.Y, this.NRES, this.HXY, this.INFORM, - this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ggv.getINFORM(); - } - - } - - public static class MONIT extends E04GG.Abstract_E04GG_MONIT { - - public void eval() { - E04FFU e04ffu = new E04FFU(); - e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, - this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ffu.getINFORM(); - } - - } - -} diff --git a/simple_examples/int32/E04UCJE.java b/simple_examples/int32/E04UCJE.java deleted file mode 100644 index e43d457..0000000 --- a/simple_examples/int32/E04UCJE.java +++ /dev/null @@ -1,211 +0,0 @@ -import com.nag.routines.E04.E04UC; -import com.nag.routines.E04.E04WB; -import com.nag.routines.E04.E04UE; -import com.nag.routines.F06.DGEMV; -import java.util.Arrays; - -/** - * E04UC example program text. - * @author joed - */ -public class E04UCJE { - - public static final double ONE = 1.0, ZERO = 0.0; - public static final int INC1 = 1, LCWSAV = 1, LIWSAV = 610, LLWSAV = 120, LRWSAV = 475; - public static CONFUN confun = new CONFUN(); - public static OBJFUN objfun = new OBJFUN(); - - public static void main(String[] args) { - - /* Local Scalars */ - double objf; - int i, ifail, inform, iter, j, lda, ldcj, ldr, liwork, lwork, n, nclin, ncnln, sda, sdcjac; - /* Local Arrays */ - double[] a, bl, bu, c, cjac, clamda, objgrd, r, work, x; - double[] ruser = new double[1], rwsav = new double[LRWSAV]; - int[] istate, iwork; - int[] iuser = new int[1], iwsav = new int[LIWSAV]; - boolean[] lwsav = new boolean[LLWSAV]; - String[] cwsav = new String[LCWSAV]; - Arrays.fill(cwsav, - " "); - - System.out.println(" E04UCJ Example Program Results"); - - /* Set scalars */ - n = 4; - nclin = 1; - ncnln = 2; - liwork = 3*n + nclin + 2*ncnln; - lda = Math.max(1, nclin); - sda = (nclin > 0) ? n : 1; - ldcj = Math.max(1, ncnln); - sdcjac = (ncnln > 0) ? n : 1; - ldr = n; - - if (ncnln == 0 && nclin > 0) { - lwork = 2*n*n + 20*n + 11*nclin; - } - else if (ncnln > 0 && nclin >= 0) { - lwork = 2*n*n + n*nclin + 2*n*ncnln + 20*n + 11*nclin + 21*ncnln; - } - else { - lwork = 20*n; - } - - /* Set arrays */ - istate = new int[n + nclin + ncnln]; - iwork = new int[liwork]; - c = new double[Math.max(1, ncnln)]; - cjac = new double[ldcj * sdcjac]; - clamda = new double[n + nclin + ncnln]; - objgrd = new double[n]; - r = new double[ldr * n]; - work = new double[lwork]; - - a = new double[]{1.0, 1.0, 1.0, 1.0}; - bl = new double[]{1.0, 1.0, 1.0, 1.0, -1.0E+25, -1.0E+25, 25.0}; - bu = new double[]{5.0, 5.0, 5.0, 5.0, 20.0, 40.0, 1.0E+25}; - x = new double[]{1.0, 5.0, 5.0, 1.0}; - - /* Initialise E04UC */ - E04WB e04wb = new E04WB(); - ifail = 0; - e04wb.eval("E04UCA", cwsav, LCWSAV, lwsav, LLWSAV, iwsav, LIWSAV, rwsav, LRWSAV, ifail); - E04UE e04ue = new E04UE(); - inform = 0; - e04ue.eval("Print Level = 10", lwsav, iwsav, rwsav, inform); - - /* Solve the problem */ - E04UC e04uc = new E04UC(); - iter = 0; - objf = 0.0; - ifail = -1; - e04uc.eval(n, nclin, ncnln, lda, ldcj, ldr, a, bl, bu, confun, objfun, iter, istate, c, - cjac, clamda, objf, objgrd, r, x, iwork, liwork, work, lwork, iuser, ruser, - lwsav, iwsav, rwsav, ifail); - iter = e04uc.getITER(); - objf = e04uc.getOBJF(); - ifail = e04uc.getIFAIL(); - - if ((0 >= ifail && ifail <= 6) || ifail == 8) { - System.out.println(); - System.out.println(" Varbl Istate Value Lagr Mult"); - System.out.println(); - - for (i = 0; i < n; i++) { - System.out.printf(" V %3d %3d %13.6G %13.4G\n", i+1, istate[i], x[i], clamda[i]); - } - - if (nclin > 0) { - - /* A*x --> work. - * The NAG name equivalent of DGEMV is F06PA */ - DGEMV dgemv = new DGEMV(); - dgemv.eval("N", nclin, n, ONE, a, lda, x, INC1, ZERO, work, INC1); - - System.out.println(); - System.out.println(); - System.out.println(" L Con Istate Value Lagr Mult"); - System.out.println(); - - for (i = n; i < n+nclin; i++) { - j = i - n; - System.out.printf(" L %3d %3d %13.6G %13.4G\n", j+1, istate[i], work[j], clamda[i]); - } - - } - - if (ncnln > 0) { - System.out.println(); - System.out.println(); - System.out.println(" N Con Istate Value Lagr Mult"); - System.out.println(); - - for (i = n+nclin; i < n+nclin+ncnln; i++) { - j = i - n - nclin; - System.out.printf(" N %3d %3d %13.6G %13.4G\n", j+1, istate[i], c[j], clamda[i]); - } - - } - - System.out.println(); - System.out.println(); - System.out.printf(" Final objective value = %11.7G\n", objf); - - } - - } - - /** Routine to evaluate objective function and its 1st derivatives. */ - public static class OBJFUN extends E04UC.Abstract_E04UC_OBJFUN { - - public void eval() { - - if (MODE == 0 || MODE == 2) { - OBJF = X[0] * X[3] * (X[0]+X[1]+X[2]) + X[2]; - } - - if (MODE == 1 || MODE == 2) { - OBJGRD[0] = X[3] * (X[0]+X[0]+X[1]+X[2]); - OBJGRD[1] = X[0] * X[3]; - OBJGRD[2] = X[0] * X[3] + ONE; - OBJGRD[3] = X[0] * (X[0]+X[1]+X[2]); - } - - } - - } - - /** Routine to evaluate the nonlinear constraints and their 1st derivatives. */ - public static class CONFUN extends E04UC.Abstract_E04UC_CONFUN { - - public void eval() { - - if (NSTATE == 1) { - - /* First call to CONFUN. Set all Jacobian elements to zero. - * Note that this will only work when 'Derivative Level = 3' - * (the default; see Section 11.2). */ - - for (int i = 0; i < CJAC.length; ++i) { - CJAC[i] = 0; - } - - } - - if (NEEDC[0] > 0) { - - if (MODE == 0 || MODE == 2) { - C[0] = X[0]*X[0] + X[1]*X[1] + X[2]*X[2] + X[3]*X[3]; - } - - if (MODE == 1 || MODE == 2) { - CJAC[0] = X[0] + X[0]; - CJAC[LDCJ] = X[1] + X[1]; - CJAC[2*LDCJ] = X[2] + X[2]; - CJAC[3*LDCJ] = X[3] + X[3]; - } - - } - - if (NEEDC[1] > 0) { - - if (MODE == 0 || MODE == 2) { - C[1] = X[0]*X[1]*X[2]*X[3]; - } - - if (MODE == 1 || MODE == 2) { - CJAC[1] = X[1]*X[2]*X[3]; - CJAC[1+LDCJ] = X[0]*X[2]*X[3]; - CJAC[1+2*LDCJ] = X[0]*X[1]*X[3]; - CJAC[1+3*LDCJ] = X[0]*X[1]*X[2]; - } - - } - - } - - } - -} diff --git a/simple_examples/int32/E04YAJE.java b/simple_examples/int32/E04YAJE.java deleted file mode 100644 index 72d80da..0000000 --- a/simple_examples/int32/E04YAJE.java +++ /dev/null @@ -1,112 +0,0 @@ -import com.nag.routines.E04.E04YA; - - -/** - * E04YA example program text. - * @author joed - */ -public class E04YAJE { - - public static LSQFUN lsqfun = new LSQFUN(); - public static final int LIW = 1, MDEC = 15, NDEC = 3; - public static final int LDFJAC = MDEC; - public static final int LW = 3*NDEC + MDEC + MDEC*NDEC; - public static double[] t = new double[MDEC*NDEC], y = new double[MDEC]; - - /** Routine to evaluate the residuals and their 1st derivatives. */ - public static class LSQFUN extends E04YA.Abstract_E04YA_LSQFUN { - - public void eval() { - double denom, dummy; - int i; - - for (i = 0; i < M; i++) { - denom = (XC[1] * t[MDEC + i]) + (XC[2] * t[2*MDEC + i]); - - if (IFLAG != 1) { - FVEC[i] = XC[0] + (t[i]/denom) - y[i]; - } - - if (IFLAG != 0) { - FJAC[i] = 1.0; - dummy = -1.0/(denom*denom); - FJAC[MDEC + i] = t[i] * t[MDEC + i] * dummy; - FJAC[2*MDEC + i] = t[i] * t[2*MDEC + i] * dummy; - } - - } - } - - } - - public static void main(String[] args) { - int i, ifail, m, n; - double[] fjac = new double[LDFJAC*NDEC], fvec = new double[MDEC], - w = new double[LW], x = new double[NDEC]; - int[] iw = new int[LIW]; - - System.out.println(" E04YAJ Example Program Results"); - - n = NDEC; - m = MDEC; - - /* Observations of TJ (J = 1, 2, ..., n) are held in T(I, J) - * (I = 1, 2, ..., m) */ - - y = new double[]{0.14, 0.18, 0.22, 0.25, 0.29, 0.32, 0.35, 0.39, 0.37, - 0.58, 0.73, 0.96, 1.34, 2.10, 4.39}; - for (i = 0; i < m; i++) { - t[i] = i + 1.0; - t[m + i] = 15.0 - i; - t[2*m + i] = -Math.abs(i - 7.0) + 8.0; - } - - /* Set up an arbitrary point at which to check the 1st derivatives */ - - x[0] = 0.19; - x[1] = -1.34; - x[2] = 0.88; - - System.out.println(); - System.out.println("The test point is"); - System.out.printf(" "); - for (i = 0; i < n; i++) { - System.out.printf("%10.5f", x[i]); - } - System.out.printf("\n"); - - E04YA e04ya = new E04YA(); - ifail = -1; - e04ya.eval(m, n, lsqfun, x, fvec, fjac, LDFJAC, iw, LIW, w, LW, ifail); - ifail = e04ya.getIFAIL(); - - if (ifail >= 0 && ifail != 1) { - - switch (ifail) { - case 0: - System.out.println(); - System.out.println("1st derivatives are consistent with residual values"); - break; - case 2: - System.out.println(); - System.out.println("Probable error in calculation of 1st derivatives"); - break; - default: - } - - System.out.println(); - System.out.println("At the test point, LSQFUN gives"); - System.out.println(); - System.out.println(" Residuals 1st derivatives"); - for (i = 0; i < m; i++) { - System.out.printf(" %15.3E", fvec[i]); - System.out.printf("%15.3E", fjac[i]); - System.out.printf("%15.3E", fjac[LDFJAC + i]); - System.out.printf("%15.3E\n", fjac[2*LDFJAC + i]); - } - - } - - } - -} diff --git a/simple_examples/int32/F01ADJE.java b/simple_examples/int32/F01ADJE.java deleted file mode 100644 index 4167f71..0000000 --- a/simple_examples/int32/F01ADJE.java +++ /dev/null @@ -1,39 +0,0 @@ -import com.nag.routines.F01.F01AD; -import com.nag.routines.X04.X04CA; - - -/** - * F01AD example program text. - * @author joed - */ -public class F01ADJE { - - public static void main(String[] args) { - - int i, ifail, lda, n; - double[] a; - - System.out.println(" F01ADJ Example Program Results"); - System.out.println(); - - n = 4; - lda = n + 1; - a = new double[] { - 5.0, 7.0, 6.0, 5.0, 0.0, - 7.0, 10.0, 8.0, 7.0, 0.0, - 6.0, 8.0, 10.0, 9.0, 0.0, - 5.0, 7.0, 9.0, 10.0, 0.0 - }; - - F01AD f01ad = new F01AD(); - ifail = -1; - f01ad.eval(n, a, lda, ifail); - ifail = f01ad.getIFAIL(); - - /* Print the result matrix A */ - X04CA x04ca = new X04CA(); - x04ca.eval("L", "B", lda, n, a, lda, "Lower triangle of inverse", ifail); - - } - -} diff --git a/simple_examples/int32/F01CKJE.java b/simple_examples/int32/F01CKJE.java deleted file mode 100644 index ed3ffa2..0000000 --- a/simple_examples/int32/F01CKJE.java +++ /dev/null @@ -1,60 +0,0 @@ -import com.nag.routines.F01.F01CK; -import com.nag.routines.X04.X04CB; -import java.util.logging.Level; -import java.util.logging.Logger; - - -/** - * F01CK example program text. - * @author ludovic - */ -public class F01CKJE { - - public static void main(String[] args) { - - double[] a, b, c, z; - int n, p, m, iz, opt; - int ifail; - - m = 3; - n = p = 2; - iz = 1; - opt = 1; - a = new double[n * p]; - b = new double[n * m]; - c = new double[m * p]; - z = new double[iz]; - ifail = 0; - - System.out.println(" F01CKJ Example Program Results"); - - // Initialising b and c - - for (int i = 0; i < m; ++i) { - for (int j = 0; j < n; ++j) { - b[j+i*n] = (double) (i+j); - } - for (int j = 0; j < p; ++j) { - c[i+j*m] = (double) (i+j); - } - } - - F01CK f01ck = new F01CK(a, b, c, n, p, m, z, iz, opt, ifail); - f01ck.eval(); - ifail = f01ck.getIFAIL(); - String title = "Matrix A"; - System.out.println(); - System.out.flush(); - ifail = 0; - - String matrix = "G", diag = "N", nolabel = "N", form = "F7.1"; - String[] dummy = {" "}; - int ncols = 80; - int indent = 0; - - (new X04CB()).eval(matrix,diag,n,p,a,n,form,title,nolabel,dummy,nolabel, - dummy,ncols,indent, ifail); - - } - -} diff --git a/simple_examples/int32/F01CRJE.java b/simple_examples/int32/F01CRJE.java deleted file mode 100644 index c10b284..0000000 --- a/simple_examples/int32/F01CRJE.java +++ /dev/null @@ -1,47 +0,0 @@ -import com.nag.routines.F01.F01CR; -import java.util.logging.Level; -import java.util.logging.Logger; - - -/** - * F01CR example program text. - * @author ludovic - */ -public class F01CRJE { - - public static void main(String[] args) { - System.out.println(" F01CRJ Example Program Results"); - double[] a; - int m,n,mn,lmove; - int[] move; - int ifail; - n = 7; - m = 3; - mn = m*n; - lmove = (m + n)/2; - a = new double[mn]; - move = new int[lmove]; - ifail = 1; - - for (int i = 0; i < mn; i++) { - a[i] = i+1.0; - } - - F01CR f01cr = new F01CR(a, m, n, mn, move, lmove, ifail); - f01cr.eval(); - - System.out.println(); - int index = 0; - for (int i = 0; i < mn; ++i) { - System.out.printf(" %7.1f",a[i]); - ++index; - if (index == 7) { - System.out.println(); - index = 0; - } - } - System.out.println(); - - } - -} diff --git a/simple_examples/int32/F01DGJE.java b/simple_examples/int32/F01DGJE.java deleted file mode 100644 index 107137f..0000000 --- a/simple_examples/int32/F01DGJE.java +++ /dev/null @@ -1,72 +0,0 @@ -import com.nag.routines.F01.F01DG; -import com.nag.routines.X04.X04CA; - -/** - * F01DG example program text. - * @author joed - * @since 27.0.0.0 - */ -public class F01DGJE { - - /** - * F01DG example main program. - */ - public static void main(String[] args) { - - F01DG f01dg = new F01DG(); - X04CA x04ca = new X04CA(); - double alpha; - int i, ifail, lda, ldb, n; - String side, transa, uplo; // Length 1 - double[] a, b; - - System.out.println("F01DGJ Example Program Results\n"); - - // Values for side, uplo and transa - side = "L"; - uplo = "U"; - transa = "T"; - - // Order of square matrices - n = 4; - lda = n; - ldb = n; - - // Scaling constant alpha - alpha = 0.4; - - // Set input matrices (column-major order) - a = new double[]{ - 1.5, 0.0, 0.0, 0.0, - 2.3, 3.4, 0.0, 0.0, - 6.7, 5.4, 8.1, 0.0, - 1.9, 8.6, 2.0, 5.9 - }; - b = new double[]{ - 3.5, 0.0, 0.0, 0.0, - 2.1, 5.6, 0.0, 0.0, - 4.0, 2.1, 1.7, 0.0, - 2.1, 2.5, 1.1, 7.4 - }; - - /* ifail: behaviour on error exit - * = 0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft */ - ifail = 0; - - // Find B=alpha*A*B - f01dg.eval(side, uplo, transa, n, alpha, a, lda, b, ldb, ifail); - ifail = f01dg.getIFAIL(); - - // Print the solution - if (ifail == 0) { - if (transa.equals("N")) { - x04ca.eval(uplo, "N", n, n, b, n, "Solution matrix B", ifail); - } - else { - x04ca.eval("G", "N", n, n, b, n, "Solution matrix B", ifail); - } - } - - } - -} diff --git a/simple_examples/int32/F01ELJE.java b/simple_examples/int32/F01ELJE.java deleted file mode 100644 index 9986c6c..0000000 --- a/simple_examples/int32/F01ELJE.java +++ /dev/null @@ -1,89 +0,0 @@ -import com.nag.routines.F01.F01EL; -import com.nag.routines.Routine; -import com.nag.routines.X04.X04CA; -import com.nag.types.NAGComplex; -import com.nag.types.NAGComplexInterface; -import java.util.Arrays; - -/** - * F01EL example program text. - * @author joed - */ -public class F01ELJE { - - public static void main(String[] args) { - - F01EL f01el = new F01EL(); - X04CA x04ca = new X04CA(); - - FCos2 fcos2 = new FCos2(); - double imnorm; - int i, ifail, iflag, lda, n; - double[] a, ruser = new double[1]; - int[] iuser = new int[1]; - - Routine.setComplex(new NAGComplex()); - - System.out.println(" F01ELJ Example Program Results"); - System.out.println(); - - // Problem data - n = 4; - a = new double[] { - 3.0, -1.0, 0.0, 2.0, 0.0, 1.0, 2.0, 1.0, 1.0, 3.0, 2.0, -1.0, 2.0, 1.0, 1.0, 1.0 - }; - - // Find f(A) - lda = n; - iflag = 0; - imnorm = 0; - ifail = 0; - f01el.eval(n, a, lda, fcos2, iuser, ruser, iflag, imnorm, ifail); - - // Print solution - ifail = 0; - x04ca.eval("G", "N", n, n, a, lda, "F(A) = COS(2A)", ifail); - - // Print the norm of the imaginary part to check it is small - System.out.println(); - System.out.println(" Imnorm = " + imnorm); - - } - - public static class FCos2 extends F01EL.Abstract_F01EL_F { - - /* These methods should really be part of an extension of NAGComplex. */ - - private NAGComplex complexCos(NAGComplexInterface z) { - NAGComplex cosz = new NAGComplex(); - cosz.setRe(Math.cos(z.getRe()) * Math.cosh(z.getIm())); - cosz.setIm(-Math.sin(z.getRe()) * Math.sinh(z.getIm())); - return cosz; - } - - private NAGComplex complexMult(NAGComplexInterface a, NAGComplexInterface b) { - NAGComplex ab = new NAGComplex(); - ab.setRe((a.getRe()*b.getRe()) - (a.getIm()*b.getIm())); - ab.setIm((a.getRe()*b.getIm()) + (a.getIm()*b.getRe())); - return ab; - } - - /* Calculate F(A) = COS(2A) */ - - public void eval() { - - NAGComplex two = new NAGComplex(); - two.setRe(2.0); - two.setIm(0.0); - - for (int i = 0; i < this.NZ; i++) { - this.FZ[i] = (NAGComplex) complexCos(complexMult(two, this.Z[i])); - } - - this.IFLAG = 0; - - } - - } - -} diff --git a/simple_examples/int32/F01EMJE.java b/simple_examples/int32/F01EMJE.java deleted file mode 100644 index 716a7b5..0000000 --- a/simple_examples/int32/F01EMJE.java +++ /dev/null @@ -1,106 +0,0 @@ -import com.nag.routines.F01.F01EM; -import com.nag.routines.X04.X04CA; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; - -/** - * F01EMJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class F01EMJE{ - - /** - * F01EMJ Example main program - */ - public static void main(String[] args){ - double imnorm = 0; - int ifail, iflag = 0, lda, n; //placeholders - double[] a, ruser; - int[] iuser; - - ruser = new double[1]; - iuser = new int[1]; - - System.out.println("F01EMJ Example Program Results"); - System.out.println(); - - //Tell wrapper what type of complex type is going to be used - Routine.setComplex(new NAGComplex()); - - //Problem size - n = 4; - lda = n; - - //Allocate - a = new double[lda * n]; - - //Data - //A = ( 1, 0,-2, 1) - // (-1, 2, 0, 1) - // ( 2, 0, 1, 0) - // ( 1, 0,-2, 2) - a[0] = 1; - a[1] = -1; - a[2] = 2; - a[3] = 1; - a[4] = 0; - a[5] = 2; - a[6] = 0; - a[7] = 0; - a[8] = -2; - a[9] = 0; - a[10] = 1; - a[11] = -1; - a[12] = 1; - a[13] = 1; - a[14] = 0; - a[15] = 2; - - //Find f(A) - ifail = 0; - //Create fexp2 object to pass to wrapper - fexp2 f = new fexp2(); - F01EM f01em = new F01EM(n, a, lda, f, iuser, ruser, iflag, imnorm, ifail); - f01em.eval(); - - //Print solution - ifail = 0; - X04CA x04ca = new X04CA("G", "N", n, n, a, lda, "F(A) = EXP(2A)", ifail); - x04ca.eval(); - - //Print the norm oof the imaginary part to check if it small - System.out.println(); - System.out.printf("Imnorm = %.2f\n", imnorm); - } - - /** - * fexp2 class representing f routine argument - */ - public static class fexp2 extends F01EM.Abstract_F01EM_F{ - public void eval(){ - NAGComplex two = new NAGComplex(2, 0); - NAGComplex twoPowM = new NAGComplex(2, 0); - - twoPowM.setRe(Math.pow(2, this.M)); - - for(int i = 0; i < this.NZ; i++){ - this.FZ[i] = NAGComplex.multiply(twoPowM, this.complexExp(NAGComplex.multiply(two, (NAGComplex) this.Z[i]))); - } - - //Set iflag nonzero to terminate exectuion for any reason - this.IFLAG = 0; - } - - //Raises e ^ z where z is a complex number - //Uses eulers formula; - //c ^ (a + bi) = c^a * ((cos(bln(c))) + isin(bln(c))) - public NAGComplex complexExp(NAGComplex x){ - NAGComplex tmp = new NAGComplex(); - tmp.setRe(Math.cos(x.getIm())); - tmp.setIm(Math.sin(x.getIm())); - NAGComplex ans = NAGComplex.multiply(new NAGComplex(Math.exp(x.getRe()), 0), tmp); - return ans; - } - } -} diff --git a/simple_examples/int32/F02EKJE.java b/simple_examples/int32/F02EKJE.java deleted file mode 100644 index 3737022..0000000 --- a/simple_examples/int32/F02EKJE.java +++ /dev/null @@ -1,227 +0,0 @@ -import com.nag.routines.F02.F02EK; -import com.nag.routines.F12.F12AD; -import com.nag.routines.Routine; -import com.nag.routines.X02.X02AJ; -import com.nag.types.NAGComplex; -import com.nag.types.NAGComplexInterface; -import java.util.Arrays; - -/** - * F02EK example program text. - * @author joed - */ -public class F02EKJE { - - public static MYMONIT mymonit = new MYMONIT(); - public static MYOPTION myoption = new MYOPTION(); - - public static void main(String[] args) { - F02EK f02ek = new F02EK(); - X02AJ x02aj = new X02AJ(); - double h, rho, s, sigma; - int ifail, imon, k, ldv, maxit, mode, n, nconv, ncv, nev, nnz, nx, - prtlvl; - NAGComplex complex = new NAGComplex(); - double[] a, resid, v, ruser = new double[1]; - int[] icolzp, irowix, iuser = new int[4]; - NAGComplex[] w; - - Routine.setComplex(complex); - - System.out.println(" F02EKJ Example Program Results"); - System.out.println(); - - nx = 10; - nev = 4; - ncv = 20; - rho = 10.0; - sigma = 5.5; - - n = nx * nx; - nnz = 3*n - 2; - ldv = n; - - resid = new double[ncv]; - a = new double[nnz]; - icolzp = new int[n + 1]; - irowix = new int[nnz]; - w = (NAGComplex[]) complex.getArrayOfInstances(ncv); - v = new double[ldv * ncv]; - - // Construct A in compressed column storage (CCS) format where: - // A{ i , i } = 2 + i - // A{i+1, i } = 3 - // A{ i , i+1} = rho/(2n+2) - 1 - - h = 1.0 / (double)(n+1); - s = (rho * h / 2.0) - 1.0; - - a[0] = 2.0 + 1.0; - a[1] = 3.0; - icolzp[0] = 1; - irowix[0] = 1; - irowix[1] = 2; - k = 3; - - for (int i = 1; i < n - 1; i++) { - icolzp[i] = k; - irowix[k - 1] = i; - irowix[k] = i + 1; - irowix[k + 1] = i + 2; - a[k - 1] = s; - a[k] = 2.0 + (double)(i + 1); - a[k + 1] = 3.0; - k += 3; - } - - icolzp[n - 1] = k; - icolzp[n] = k + 2; - irowix[k - 1] = n - 1; - irowix[k] = n; - a[k - 1] = s; - a[k] = 2.0 + (double)(n); - - // Set some options via iuser array and return routine argument OPTION - // iuser[0] = print level - // iuser[1] = iteration limit - // iuser[2] > 0 means shifted-invert mode - // iuser[3] > 0 means print monitoring info - - prtlvl = 0; - maxit = 500; - mode = 1; - imon = 1; - - if (prtlvl > 0) { - imon = 0; - } - - iuser[0] = prtlvl; - iuser[1] = maxit; - iuser[2] = mode; - iuser[3] = imon; - - nconv = 0; // placeholder value, nconv is output only - ifail = 0; // hard exit on error - - f02ek.eval( - n, nnz, a, icolzp, irowix, nev, ncv, sigma, mymonit, myoption, - nconv, w, v, ldv, resid, iuser, ruser, ifail - ); - ifail = f02ek.getIFAIL(); - nconv = f02ek.getNCONV(); - - System.out.println(); - System.out.printf( - " The %4d Ritz values of closest to %13.5E are:\n", nconv, sigma - ); - - // Get machine precision - double mp = x02aj.eval(); - - for (int i = 0; i < nconv; i++) { - if (resid[i] > (double)(100*n*mp)) { - System.out.printf( - " %8d ( %13.5E , %13.5E ) %13.5E\n", - i + 1, w[i], resid[i] - ); - } - else { - System.out.printf( - " %8d ( %13.5E , %13.5E )\n", - i + 1, w[i].getRe(), w[i].getIm() - ); - } - } - - } - - public static class MYOPTION extends F02EK.Abstract_F02EK_OPTION { - - public void eval() { - F12AD f12ad = new F12AD(); - int ifail1; - String rec = " "; - - this.ISTAT = 0; - - if (this.IUSER[0] > 0) { - System.out.printf("Print Level=%5d\n", this.IUSER[0]); - ifail1 = 1; - f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[1] > 100) { - System.out.printf("Iteration Limit=%5d\n", this.IUSER[1]); - ifail1 = 1; - f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[2] > 0) { - ifail1 = 1; - f12ad.eval( - "Shifted Inverse Real ", this.ICOMM, this.COMM, ifail1 - ); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - } - - } - - public static class MYMONIT extends F02EK.Abstract_F02EK_MONIT { - - public NAGComplexInterface[] getW() { - return this.W; - } - - public void eval() { - - if (this.IUSER[3] > 0) { - - if (this.NITER == 1 && this.IUSER[2] > 0) { - System.out.printf( - " Arnoldi basis vectors used:%4d\n", this.NCV - ); - System.out.printf( - " The following Ritz values (mu) are related to the\n" - + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" - ); - } - - System.out.println(); - System.out.printf(" Iteration number %4d\n", this.NITER); - System.out.printf( - " Ritz values converged so far (%4d) and their Ritz" - + " estimates:\n", this.NCONV - ); - - for (int i = 0; i < this.NCONV; i++) { - System.out.printf( - " %4d (%13.5E,%13.5E) %13.5E\n", - i + 1, this.W[i].getRe(), this.W[i].getIm(), - this.RZEST[i] - ); - } - - System.out.printf(" Next (unconverged) Ritz value:\n"); - - System.out.printf( - " %4d (%13.5E,%13.5E)\n", - this.NCONV + 1, this.W[NCONV].getRe(), this.W[NCONV].getIm() - ); - - } - - this.ISTAT = 0; - - } - - } - -} diff --git a/simple_examples/int32/F02FKJE.java b/simple_examples/int32/F02FKJE.java deleted file mode 100644 index 0dd7ab9..0000000 --- a/simple_examples/int32/F02FKJE.java +++ /dev/null @@ -1,230 +0,0 @@ -import com.nag.routines.F02.F02FK; -import com.nag.routines.F12.F12FD; -import com.nag.routines.X04.X04AB; -import com.nag.routines.X04.X04CA; -import java.util.Arrays; - -/** - * F02FK example program text. - * @author joed - */ -public class F02FKJE { - - public static MYMONIT mymonit = new MYMONIT(); - public static MYOPTION myoption = new MYOPTION(); - - public static void main(String[] args) { - F02FK f02fk = new F02FK(); - X04AB x04ab = new X04AB(); - X04CA x04ca = new X04CA(); - double h2, sigma; - int iset = 1, ifail, imon, k, ldv, lo, maxit, mode, n, nconv, ncv, nev, - nnz, nx, outchn, prtlvl; - double[] a, dPrint, resid, v, w, ruser = new double[1]; - int[] icol, irow, iuser = new int[4]; - - - System.out.println(" F02FKJ Example Program Results"); - System.out.println(); - - nx = 20; - nev = 8; - ncv = 20; - sigma = 1.0; - - // Construct the matrix A in sparse form and store in A. - // The main diagonal of A is full and there are two subdiagonals of A: - // the first and the nx-th. - - n = nx * nx; - nnz = (3 * n) - (2 * nx); - a = new double[nnz]; - irow = new int[nnz]; - icol = new int[nnz]; - - // Zero out A. - Arrays.fill(a, 0.0); - - // Main diagonal of A. - h2 = 1.0 / (double)((nx + 1) * (nx + 1)); - for (int i = 1; i <= n; i++) { - irow[i - 1] = i; - icol[i - 1] = i; - a[i - 1] = 4.0 / h2; - } - - // First subdiagonal of A. - k = n; - for (int i = 1; i <= nx; i++) { - lo = (i - 1) * nx; - for (int j = lo + 1; j <= lo + nx - 1; j++) { - k += 1; - irow[k - 1] = j + 1; - icol[k - 1] = j; - a[k - 1] = -1.0 / h2; - } - } - - // nx-th subdiagonal. - for (int i = 1; i <= nx - 1; i++) { - lo = (i - 1) * nx; - for (int j = lo + 1; j <= lo + nx; j++) { - k += 1; - irow[k - 1] = j + nx; - icol[k - 1] = j; - a[k - 1] = -1.0 / h2; - } - } - - // Set some options via iuser array and routine argument OPTION. - // iuser[0] = print level, - // iuser[1] = iteration limit, - // iuser[2]>0 means shifted-invert mode - // iuser[3]>0 means print monitoring info - - prtlvl = 0; - maxit = 500; - mode = 1; - imon = 0; - - ruser[0] = 1.0; - iuser[0] = prtlvl; - iuser[1] = maxit; - iuser[2] = mode; - iuser[3] = imon; - - // Find eigenvalues of largest magnitude and the corresponding - // eigenvectors. - - ldv = n; - w = new double[ncv]; - v = new double[ldv * ncv]; - resid = new double[n]; - - nconv = 0; // placeholder - - ifail = -1; - f02fk.eval( - n, nnz, a, irow, icol, nev, ncv, sigma, mymonit, myoption, nconv, - w, v, ldv, resid, iuser, ruser, ifail - ); - ifail = f02fk.getIFAIL(); - nconv = f02fk.getNCONV(); - if (ifail != 0) { - System.err.println(" ** F02FK returned with IFAIL = " + ifail); - } - - - - // Print Eigenvalues and the residual norm ||A*x - lambda*x||. - dPrint = new double[nconv * 2]; - for (int i = 1; i <= nconv; i++) { - dPrint[getIdx(i, 1, nconv)] = w[i - 1]; - dPrint[getIdx(i, 2, nconv)] = resid[i - 1]; - } - - System.out.println(); - - ifail = 0; - x04ca.eval( - "G", "N", nconv, 2, dPrint, nconv, " Ritz values and residuals", - ifail - ); - - } - - public static class MYOPTION extends F02FK.Abstract_F02FK_OPTION { - - public void eval() { - F12FD f12fd = new F12FD(); - int ifail1; - String rec = " "; // Required len = 25 - - this.ISTAT = 0; - - if (this.IUSER[0] > 0) { - System.out.printf(" Print Level=%5d\n", this.IUSER[0]); - ifail1 = 1; - f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12fd.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[1] > 100) { - System.out.printf(" Iteration Limit=%5d\n", this.IUSER[1]); - ifail1 = 1; - f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12fd.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[2] > 0) { - ifail1 = 1; - f12fd.eval( - "Shifted Inverse ", this.ICOMM, this.COMM, ifail1 - ); - ifail1 = f12fd.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - } - - } - - public static class MYMONIT extends F02FK.Abstract_F02FK_MONIT { - - public void eval() { - - if (this.IUSER[3] > 0) { - - if (this.NITER == 1 && this.IUSER[2] > 0) { - System.out.printf( - " Arnoldi basis vectors used:%4d\n", this.NCV - ); - System.out.printf( - " The following Ritz values (mu) are related to the\n" - + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" - ); - } - - System.out.println(); - System.out.printf(" Iteration number %4d\n", this.NITER); - System.out.printf( - " Ritz values converged so far(%4d) and their Ritz" - + " estimates:\n", this.NCONV - ); - - for (int i = 0; i < this.NCONV; i++) { - System.out.printf( - " %4d %13.5E %13.5E\n", i+1, this.W[i], this.RZEST[i] - ); - } - - System.out.printf(" Next (uncoverged) Ritz value:\n"); - System.out.printf( - " %4d %13.5E\n", this.NCONV + 1, this.W[this.NCONV + 1] - ); - - } - - this.ISTAT = 0; - - } - - } - - /** - * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based - * Java index. - * - *

    Fortran array definition: - * a(dimX, *) - * - *

    Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return ((y-1) * dimX) + (x-1); - } - -} diff --git a/simple_examples/int32/F02WGJE.java b/simple_examples/int32/F02WGJE.java deleted file mode 100644 index 36c26c6..0000000 --- a/simple_examples/int32/F02WGJE.java +++ /dev/null @@ -1,132 +0,0 @@ -import com.nag.routines.F02.F02WG; -import java.util.Arrays; - -/** - * F02WG example program text. - * @author joed - */ -public class F02WGJE { - - public static AV av = new AV(); - - public static void main(String[] args) { - int ifail, k, ldu, ldv, m, n, nconv, ncv; - double[] resid, sigma, u, v; - double[] ruser = new double[1]; - int[] iuser = new int[1]; - - /* Set up wrappers */ - F02WG f02wg = new F02WG(); - - System.out.println(" F02WGJ Example Program Results\n"); - - /* Set F02WG args */ - m = 100; - n = 500; - k = 4; - ncv = 10; - nconv = 0; - ldu = m; - ldv = n; - resid = new double[ncv]; - sigma = new double[ncv]; - u = new double[ldu * ncv]; - v = new double[ldv * ncv]; - ifail = 0; - - /* Call routine */ - f02wg.eval( - m, // Rows in A - n, // Cols in A - k, // Num. of singular values to be computed - ncv, // Dimension of sigma and resid - av, // Subroutine that returns Ax or (A^T)x - nconv, // [Output] - sigma, // [Output] - u, // [Output] - ldu, // 1st dimension of u - v, // [Output] - ldv, // 1st dimension of v - resid, // [Output] - iuser, - ruser, - ifail - ); - - /* Get non-array output args */ - ifail = f02wg.getIFAIL(); - nconv = f02wg.getNCONV(); - - /* Print results */ - System.out.println(" Singular Value Residual"); - for (int i = 0; i < nconv; i++) { - System.out.printf( - " %10.5f %10.2G\n", sigma[i], resid[i] - ); - } - - } - - public static class AV extends F02WG.Abstract_F02WG_AV { - - public void eval() { - - double H = 1.0 / ((double)(this.M + 1)); - double K = 1.0 / ((double)(this.N + 1)); - - if (this.IFLAG == 1) { - - for (int i = 0; i < this.M; i++) { - this.AX[i] = 0.0; - } - - double S = 0.0; - double T = 0.0; - - for (int j = 0; j < this.N; j++) { - T += K; - S = 0.0; - - for (int i = 0; i < Math.min(j+1, this.M); i++) { - S += H; - this.AX[i] += K * S * (T - 1.0) * this.X[j]; - } - for (int i = j + 1; i < this.M; i++) { - S += H; - this.AX[i] += K * T * (S - 1.0) * this.X[j]; - } - - } - - } - else { - - for (int i = 0; i < this.N; i++) { - this.AX[i] = 0.0; - } - - double S = 0.0; - double T = 0.0; - - for (int j = 0; j < this.N; j++) { - T += K; - S = 0.0; - - for (int i = 0; i < Math.min(j+1, this.M); i++) { - S += H; - this.AX[j] += K * S * (T - 1.0) * this.X[i]; - } - for (int i = j + 1; i < this.M; i++) { - S += H; - this.AX[j] += K * T * (S - 1.0) * this.X[i]; - } - - } - - } - - } - - } - -} diff --git a/simple_examples/int32/F03BAJE.java b/simple_examples/int32/F03BAJE.java deleted file mode 100644 index 673ddec..0000000 --- a/simple_examples/int32/F03BAJE.java +++ /dev/null @@ -1,108 +0,0 @@ -import com.nag.routines.F03.F03BA; -import com.nag.routines.F07.F07AD; -import com.nag.routines.X04.X04CA; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * F03BAJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class F03BAJE{ - - /** - * F03BAJ example main program. - */ - public static void main(String[] args){ - double d = 0; - int id = 0, ifail, info = 0, lda = 0, n = 0; - double[] a; - int[] ipiv; - - //Should initialise values so java doesn't give any errors because of try/catch - a = new double[n]; - ipiv = new int[n]; - - System.out.println("F03BAJ Example Program Results"); - - //If file name not given print usage info - if(args.length != 1){ - F03BAJE.usage(); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[1]); - - lda = n; - - //reallocate with values from data file - a = new double[n * lda]; - ipiv = new int[n]; - - //read in matrix - for(int i = 0; i < n; i++){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int j = 0; j < n; j++){ - a[i + (j * n)] = Double.parseDouble(sVal[j]); - } - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - F07AD f07ad = new F07AD(n, n, a, lda, ipiv, info); - f07ad.eval(); - - ifail = 0; - - //Print out matrix - System.out.println(); - X04CA x04ca = new X04CA("G", "N", n, n, a, lda, "Array A after factorization", ifail); - x04ca.eval(); - - System.out.println(); - System.out.println("Pivots"); - for(int i = 0; i < n; i++){ - System.out.printf("\t%d ", ipiv[i]); - } - System.out.printf("\n"); - System.out.println(); - - ifail = 0; - - F03BA f03ba = new F03BA(n, a, lda, ipiv, d, id, ifail); - f03ba.eval(); - d = f03ba.getD(); - id = f03ba.getID(); - - System.out.printf("D = \t%.5f ID = \t%d\n", d, id); - System.out.println(); - System.out.printf("Value of determinant = %.5e\n", d * Math.pow(2.0, id)); - - } - - /** - * Print usage information. - */ - private static void usage(){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - -} - diff --git a/simple_examples/int32/F04AMJE.java b/simple_examples/int32/F04AMJE.java deleted file mode 100644 index a498b2b..0000000 --- a/simple_examples/int32/F04AMJE.java +++ /dev/null @@ -1,114 +0,0 @@ -import com.nag.routines.F04.F04AM; -import com.nag.routines.X02.X02AJ; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * F04AMJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class F04AMJE{ - - /** - * F04AMJ example main program. - */ - public static void main(String[] args){ - int m = 0, n = 0; - int ifail, ir, lda, ldb, ldqr, ldx; - double eps; - double[] a, b, alpha, e, qr, r, x, y, z; - int[] ipiv; - - System.out.println("F04AMJ Example Program Results"); - - if(args.length != 1){ - F04AMJE.usage(); - } - - //declare so try/catch works - a = new double[0]; - b = new double[0]; - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - m = Integer.parseInt(sVal[1]); - n = Integer.parseInt(sVal[2]); - - a = new double[m * n]; - b = new double[m * 1]; - - for(int i = 0; i < m; i++){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int j = 0; j < n; j++){ - a[i + (j * m) ] = Double.parseDouble(sVal[j]); - } - for(int j = n; j < m; j++){ - b[i + (j * (m - (n + 1)))] = Double.parseDouble(sVal[j]); - } - } - } - catch(FileNotFoundException err){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException err){ - System.err.println("***FATAL: Can't read " + filename + "\n" + err.getMessage()); - } - //Setting these in try block is more robust but less neat - //May be needed for array sizes~ - ir = 1; - lda = m; - ldb = m; - ldqr = m; - ldx = n; - - alpha = new double[n]; - e = new double[n]; - qr = new double[ldqr * n]; - r = new double[m]; - x = new double[ldx * ir]; - y = new double[n]; - z = new double[n]; - ipiv = new int[n]; - - X02AJ x02aj = new X02AJ(); - eps = x02aj.eval(); - - ifail = 0; - - F04AM f04am = new F04AM(a, lda, x, ldx, b, ldb, m, n, ir, eps, qr, ldqr, alpha, e, y, z, r, ipiv, ifail); - f04am.eval(); - //update any values you want here - x = f04am.getX(); - - System.out.println("Solution"); - for(int i = 0; i < n; i++){ - for(int j = 0; j < ir; j++){ - System.out.printf("%.4f ", x[j + (i * ir)]); - } - System.out.printf("\n"); - } - } - - /** - * No arguments supplied when example runs - */ - private static void usage() { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} - - - - - - diff --git a/simple_examples/int32/F04BAJE.java b/simple_examples/int32/F04BAJE.java deleted file mode 100644 index 79c2b01..0000000 --- a/simple_examples/int32/F04BAJE.java +++ /dev/null @@ -1,144 +0,0 @@ -import com.nag.routines.F04.F04BA; -import com.nag.routines.X04.X04CA; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * F04BAJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class F04BAJE{ - - /** - * F04BAJ example main program. - */ - public static void main(String[] args){ - int n = 0, nrhs = 0, lda = 0, ldb = 0; //placeholder - int ierr, ifail; - double errbnd, rcond; - double a[], b[]; - int ipiv[]; - - a = new double[0]; b = new double[0]; //placeholder - - if(args.length != 1){ - F04BAJE.usage(); - } - - System.out.println("F04BAJ Example Program Results"); - System.out.println(); - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[1]); - nrhs = Integer.parseInt(sVal[2]); - - lda = n; - ldb = n; - - a = new double[lda * n]; - b = new double[ldb * nrhs]; - - line = reader.readLine(); - for(int i = 0; i < lda; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int j = 0; j < n; j++){ - a[i + (j * n)] = Double.parseDouble(sVal[j + 1]); - } - } - - line = reader.readLine(); - for(int i = 0; i < ldb; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int j = 0; j < nrhs; j++){ - b[i + (j * n)] = Double.parseDouble(sVal[j + 1]); - } - } - - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = 1; - ipiv = new int[n]; - rcond = 0; - errbnd = 0; - F04BA f04ba = new F04BA(n, nrhs, a, lda, ipiv, b, ldb, rcond, errbnd, ifail); - f04ba.eval(); - - ifail = f04ba.getIFAIL(); - rcond = f04ba.getRCOND(); - errbnd = f04ba.getERRBND(); - ipiv = f04ba.getIPIV(); - a = f04ba.getA(); - b = f04ba.getB(); - - if(ifail == 0){ - //Print solution, estimate of condition number and approximate error bound. - ierr = 0; - X04CA x04ca = new X04CA("General", " ", n, nrhs, b, ldb, "Solution", ierr); - x04ca.eval(); - - System.out.println(); - System.out.println("Estimate of condition number"); - System.out.printf("%.1e\n", 1/rcond); - System.out.println(); - System.out.println("Esttimate of error bound for computed solutions"); - System.out.printf("%.1e\n", errbnd); - } - else if(ifail == (n + 1)){ - //Matrix A is numerically singular. Print estimate of reciprocal of condition number and solution. - System.out.println(); - System.out.println("Estimate of reciprocal of condition number"); - System.out.printf("%.1e\n", rcond); - System.out.println(); - - ierr = 0; - X04CA x04ca = new X04CA("General", " ", n, nrhs, b, ldb, "Solution", ierr); - x04ca.eval(); - } - else if(ifail > 0 && ifail <= n){ - //The upper triangular matrix U is exactly singular. Print details of factorization. - System.out.println(); - - ierr = 0; - X04CA x04ca = new X04CA("General", " ", n, n, a, lda, "Details of factorization", ierr); - x04ca.eval(); - - System.out.println(); - System.out.println("Pivot indices"); - for(int i = 0; i < n; i++){ - System.out.printf("%d ", ipiv[i]); - } - System.out.printf("\n"); - } - else{ - System.out.printf(" ** F04BAF returned with IFAIL = %d\n", ifail); - } - - } - - /** - * No arguments supplied when example runs - */ - private static void usage() { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} diff --git a/simple_examples/int32/F05AAJE.java b/simple_examples/int32/F05AAJE.java deleted file mode 100644 index 317c269..0000000 --- a/simple_examples/int32/F05AAJE.java +++ /dev/null @@ -1,99 +0,0 @@ -import com.nag.routines.F05.F05AA; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * F05AAJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class F05AAJE{ - - /** - * F05AAJ example main program. - */ - public static void main(String[] args) { - //Should initialise values to avoid issues with try/catch - int icol = 0, ifail = 0, lda = 0, m = 0, n1 = 0, n2 = 0; - double cc = 0; - double[] a, s; - - //same as ints - a = new double[1]; - s = new double[1]; - System.out.println("F05AAJ Example Program Results"); - System.out.println(); - - //supply data - if(args.length != 1){ - F05AAJE.usage(); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+");; - m = Integer.parseInt(sVal[1]); - n1 = Integer.parseInt(sVal[2]); - n2 = Integer.parseInt(sVal[3]); - lda = m; - - a = new double[lda*n2]; - s = new double[n2]; - - //read in a from data - for(int i = 0; i < n2; i++){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int j = 0; j < m; j++){ - a[i + (j * n2)] = Double.parseDouble(sVal[j]); - } - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - //create object then eval - F05AA f05aa = new F05AA(a, lda, m, n1, n2, s, cc, icol, ifail); - f05aa.eval(); - - //update values - n1 = f05aa.getN1(); - n2 = f05aa.getN2(); - cc = f05aa.getCC(); - icol = f05aa.getICOL(); - a = f05aa.getA(); - - System.out.printf("N1 = %d N2 = %d\n", n1, n2); - System.out.println(); - System.out.printf("CC = %.4f ICOL = %d\n", cc, icol); - System.out.println(); - System.out.println("Final Vectors"); - - for(int i = 0; i < n2; i++){ - for(int j = 1; j < m; j++){ - System.out.printf("%.4f ", a[i +(j * n2)]); - } - System.out.printf("\n"); - } - } - - /** - * Print usage information. - */ - private static void usage(){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} - diff --git a/simple_examples/int32/F06CLJE.java b/simple_examples/int32/F06CLJE.java deleted file mode 100644 index ca2ac5e..0000000 --- a/simple_examples/int32/F06CLJE.java +++ /dev/null @@ -1,40 +0,0 @@ -import com.nag.routines.F06.F06CL; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; - -/** - * F06CL example program text. - * @author ludovic - */ -public class F06CLJE { - - public static void main(String[] args) { - boolean fail = false; - NAGComplex z1 = new NAGComplex(); - NAGComplex z2 = new NAGComplex(); - NAGComplex z3 = new NAGComplex(); - - System.out.println(" F06CLJ Example Program Results"); - System.out.println(); - - Routine.complex = z1; - - z1.setRe(1.0); - z1.setIm(1.0); - z2.setRe(2.0); - z2.setIm(2.0); - - F06CL f06cl = new F06CL(z1,z2,fail); - z3 = (NAGComplex)f06cl.eval(); - fail = f06cl.getFAIL(); - - if (fail) { - System.err.println(" Something went wrong..."); - } - else { - System.out.println(" " + z1.toString() + "/"+ z2.toString() + " = " + z3.toString()); - } - - } - -} diff --git a/simple_examples/int32/F07AAJE.java b/simple_examples/int32/F07AAJE.java deleted file mode 100644 index 26eb5dc..0000000 --- a/simple_examples/int32/F07AAJE.java +++ /dev/null @@ -1,90 +0,0 @@ -import com.nag.routines.F07.F07AA; -import com.nag.routines.X04.X04CA; -import java.util.Arrays; - -/** - * F07AA example program text. - * @author joed - */ -public class F07AAJE { - - public static void main(String[] args) { - - int i, ifail, info, lda, ldb, n; - double[] a, b; - int[] ipiv; - - System.out.println(" F07AAJ Example Program Results"); - System.out.println(); - - n = 4; - lda = n; - ldb = n; - - a = new double[n*n]; - b = new double[n]; - ipiv = new int[n]; - - a[0+0*n] = 1.80; - a[0+1*n] = 2.88; - a[0+2*n] = 2.05; - a[0+3*n] = -0.89; - a[1+0*n] = 5.25; - a[1+1*n] = -2.95; - a[1+2*n] = -0.95; - a[1+3*n] = -3.80; - a[2+0*n] = 1.58; - a[2+1*n] = -2.69; - a[2+2*n] = -2.90; - a[2+3*n] = -1.04; - a[3+0*n] = -1.11; - a[3+1*n] = -0.66; - a[3+2*n] = -0.59; - a[3+3*n] = 0.80; - - b[0] = 9.52; - b[1] = 24.35; - b[2] = 0.77; - b[3] = -6.22; - - /* Solve the equations Ax = b for x */ - - F07AA f07aa = new F07AA(); - info = 0; - f07aa.eval(n, 1, a, lda, ipiv, b, ldb, info); - info = f07aa.getINFO(); - - if (info == 0) { - - /* Print solution */ - - System.out.println(" Solution"); - for (i = 0; i < n; i++) { - System.out.printf(" %11.4f", b[i]); - } - System.out.printf("\n"); - - /* Print details of factorization */ - - System.out.println(); - X04CA x04ca = new X04CA(); - ifail = 0; - x04ca.eval("General", " ", n, n, a, lda, "Details of factorization", ifail); - - /* Print pivot indices */ - - System.out.println(); - System.out.println(" Pivot indices"); - for (i = 0; i < n; i++) { - System.out.printf(" %11d", ipiv[i]); - } - System.out.printf("\n"); - - } - else { - System.err.printf(" The (%3d,%3d) element of the factor U is zero\n", info, info); - } - - } - -} diff --git a/simple_examples/int32/F07ABJE.java b/simple_examples/int32/F07ABJE.java deleted file mode 100644 index 6362739..0000000 --- a/simple_examples/int32/F07ABJE.java +++ /dev/null @@ -1,134 +0,0 @@ -import com.nag.routines.F07.DGESVX; -import com.nag.routines.X04.X04CA; - -/** - * F07ABJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class F07ABJE{ - - /** - * F07ABJ example main program - */ - public static void main(String[] args){ - double rcond = 0; - int ifail, info = 0, lda, ldaf, ldb, ldx, n, nrhs; //placeholders - String equed; - double[] a, af, b, berr, c, ferr, r, work, x; - int[] ipiv, iwork; - - System.out.println("F07ABJ Example Program Results"); - System.out.println(); - - //Problem size - n = 4; - nrhs = 2; - lda = n; - ldaf = n; - ldb = n; - ldx = n; - - //Allocate - a = new double[lda * n]; - af = new double[ldaf * n]; - b = new double[ldb * nrhs]; - berr = new double[nrhs]; - c = new double[n]; - ferr = new double[nrhs]; - r = new double[n]; - work = new double[4 * n]; - x = new double[ldx * nrhs]; - ipiv = new int[n]; - iwork = new int[n]; - equed = " "; - - //Matrices A and B - a[0] = 1.8; - a[1] = 525; - a[2] = 1.58; - a[3] = -1.11; - a[4] = 2.88; - a[5] = -295; - a[6] = -2.69; - a[7] = -0.66; - a[8] = 2.05; - a[9] = -95; - a[10] = -2.9; - a[11] = -0.59; - a[12] = -0.89; - a[13] = -380; - a[14] = -1.04; - a[15] = 0.8; - b[0] = 9.52; - b[1] = 2435; - b[2] = 0.77; - b[3] = -6.22; - b[4] = 18.47; - b[5] = 225; - b[6] = -13.28; - b[7] = -6.21; - - //Solve the equations AX = B for X - //The NAG name equivalent of dgesvx is f07abf - DGESVX dgesvx = new DGESVX("Equilibration", "No Transpose", n, nrhs, a, lda, af, ldaf, ipiv, equed, r, - c, b, ldb, x, ldx, rcond, ferr, berr, work, iwork, info); - dgesvx.eval(); - - //Update - info = dgesvx.getINFO(); - equed = dgesvx.getEQUED(); - rcond = dgesvx.getRCOND(); - - if(info == 0 || info == n + 1){ - //Print solution, error bounds, condition number, the form of equilibration and the pivot growth factor - - //ifail: behaviour on error exit - // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft - ifail = 0; - X04CA x04ca = new X04CA("General", " ", n, nrhs, x, ldx, "Solution(s)", ifail); - x04ca.eval(); - - System.out.println(); - System.out.println("Backward errors (machine-dependent)"); - for(int i = 0; i < nrhs; i++){ - System.out.printf(" %.1e ", berr[i]); - } - System.out.println(); - System.out.println(); - System.out.println("Estimated forward error bounds (machine-dependent)"); - for(int i = 0; i < nrhs; i++){ - System.out.printf(" %.1e ", ferr[i]); - } - System.out.println(); - System.out.println(); - if(equed.equals("N")){ - System.out.println("A has not been equilibrated"); - } - else if(equed.equals("R")){ - System.out.println("A has been row scaled as diag(R)*A"); - } - else if(equed.equals("C")){ - System.out.println("A has been column scaled as A*diag(C)"); - } - else if(equed.equals("B")){ - System.out.println("A has been row and column scaled as diag(R)*A*diag(C)"); - } - System.out.println(); - System.out.println("Reciprocal condition number estimate of scaled matrix"); - System.out.printf(" %.1e\n", rcond); - System.out.println(); - System.out.println("Estimate of reciprocal pivot growth factor"); - System.out.printf(" %.1e\n", work[0]); - System.out.println(); - - if(info == n + 1){ - System.out.println(); - System.out.println("The matrix A is singular to working precision"); - } - } - else{ - System.out.println("The (" + info + ", " + info + ")" + " element of the factor U is zero"); - } - } -} diff --git a/simple_examples/int32/F07ADJE.java b/simple_examples/int32/F07ADJE.java deleted file mode 100644 index 4450683..0000000 --- a/simple_examples/int32/F07ADJE.java +++ /dev/null @@ -1,72 +0,0 @@ -import com.nag.routines.F07.DGETRF; -import com.nag.routines.X04.X04CA; - -/** - * F07ADJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class F07ADJE{ - - /** - * F07ADJ Example main program - */ - public static void main(String[] args){ - int ifail, info = 0, lda, m, n; - double[] a; - int[] ipiv; - - System.out.println("F07ADJ Example Program Results"); - System.out.println(); - - //Problem size (can be read from data file) - m = 4; - n = 4; - lda = m; - - //Data - ipiv = new int[n]; - a = new double[m * n]; - a[0] = 1.8; - a[1] = 5.25; - a[2] = 1.58; - a[3] = -1.11; - a[4] = 2.88; - a[5] = -2.95; - a[6] = -2.69; - a[7] = -0.66; - a[8] = 2.05; - a[9] = -0.95; - a[10] = -2.9; - a[11] = -0.59; - a[12] = -0.89; - a[13] = -3.8; - a[14] = -1.04; - a[15] = 0.8; - - //Factorize A - //The NAG name equivalent of dgetrf is F07ADF - DGETRF dgetrf = new DGETRF(m, n, a, lda, ipiv, info); - dgetrf.eval(); - - //Update - info = dgetrf.getINFO(); - - //ifail: behaviour on error exit - // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft - ifail = 0; - X04CA x04ca = new X04CA("General", " ", m, n, a, lda, "Details of factorization", ifail); - x04ca.eval(); - - //Print pivot indices - System.out.println("IPIV"); - for(int i = 0; i < Math.min(m, n); i++){ - System.out.printf("\t%d", ipiv[i]); - } - System.out.println(); - - if(info != 0){ - System.out.println("The factor U is singular"); - } - } -} diff --git a/simple_examples/int32/F07AQJE.java b/simple_examples/int32/F07AQJE.java deleted file mode 100644 index 5ee47e5..0000000 --- a/simple_examples/int32/F07AQJE.java +++ /dev/null @@ -1,99 +0,0 @@ -import com.nag.routines.F07.F07AQ; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; -import com.nag.types.NAGComplexF; - -/** - * F07AQ example program text. - * @author joed - * @since 27.1.0.0 - */ -public class F07AQJE { - - public static void main(String[] args) { - - F07AQ f07aq = new F07AQ(); - int info, iter, lda, ldb, ldx, n, r; - NAGComplex[] a, b, work, x; - NAGComplexF[] swork; - double[] rwork; - int[] ipiv; - - System.out.println(" F07AQJ Example Program Results"); - System.out.println(); - - // Set dimensions and instantiate arrays - n = 4; - r = 1; - lda = ldb = ldx = n; - a = new NAGComplex[lda*n]; - b = new NAGComplex[ldb*r]; - work = (NAGComplex[]) (new NAGComplex()).getArrayOfInstances(n*r); - x = (NAGComplex[]) (new NAGComplex()).getArrayOfInstances(ldx*r); - swork = (NAGComplexF[]) (new NAGComplexF()).getArrayOfInstances(n*(n+r)); - ipiv = new int[n]; - rwork = new double[n]; - - // Set A - a[0] = new NAGComplex(-1.34, 2.55); // Column 1 - a[1] = new NAGComplex(-0.17, -1.41); - a[2] = new NAGComplex(-3.29, -2.39); - a[3] = new NAGComplex(2.41, 0.39); - a[4] = new NAGComplex(0.28, 3.17); // Column 2 - a[5] = new NAGComplex(3.31, -0.15); - a[6] = new NAGComplex(-1.91, 4.42); - a[7] = new NAGComplex(-0.56, 1.47); - a[8] = new NAGComplex(-6.39, -2.20); // Column 3 - a[9] = new NAGComplex(-0.15, 1.34); - a[10] = new NAGComplex(-0.14, -1.35); - a[11] = new NAGComplex(-0.83, -0.69); - a[12] = new NAGComplex(0.72, -0.92); // Column 4 - a[13] = new NAGComplex(1.29, 1.38); - a[14] = new NAGComplex(1.72, 1.35); - a[15] = new NAGComplex(-1.96, 0.67); - - // Set B - b[0] = new NAGComplex(26.26,51.78); - b[1] = new NAGComplex( 6.43,-8.68); - b[2] = new NAGComplex(-5.75,25.31); - b[3] = new NAGComplex( 1.16, 2.57); - - // Notify wrappers of complex types - Routine.setComplex(new NAGComplex()); - Routine.setComplexF(new NAGComplexF()); - - // Solve the equations Ax = b for x - iter = info = 0; - f07aq.eval(n, r, a, lda, ipiv, b, ldb, x, ldx, work, swork, rwork, iter, info); - iter = f07aq.getITER(); - info = f07aq.getINFO(); - - if (info == 0) { - - // Print solution - - System.out.println(" Solution"); - for (int i = 0; i < n; i++) { - for (int j = 0; j < r; j++) { - System.out.printf(" (%7.4f,%7.4f)", x[j*n+i].getRe(), x[j*n+i].getIm()); - } - } - System.out.println(); - - // Print pivot indices - - System.out.println(); - System.out.println(" Pivot indices"); - for (int i = 0; i < n; i++) { - System.out.printf(" %11d", ipiv[i]); - } - System.out.println(); - - } - else { - System.out.printf(" The (%3d,%3d) element of the factor U is zero", info, iter); - } - - } - -} diff --git a/simple_examples/int32/F07FAJE.java b/simple_examples/int32/F07FAJE.java deleted file mode 100644 index e516051..0000000 --- a/simple_examples/int32/F07FAJE.java +++ /dev/null @@ -1,79 +0,0 @@ -import com.nag.routines.F07.F07FA; -import com.nag.routines.X04.X04CA; - -/** - * F07FA example program text. - * @author saraht - */ -public class F07FAJE { - - public static void main(String[] args) { - - int i, ifail, info, lda, n; - double[] a, b; - - System.out.println(" F07FAJ Example Program Results"); - System.out.println(); - - n = 4; - lda = n; - - a = new double[n*n]; - b = new double[n]; - - /* A = 4.16 -3.12 0.56 -0.10 - 5.03 -0.83 1.18 - 0.76 0.34 - 1.18 */ - - a[0+0*n] = 4.16; - a[0+1*n] = -3.12; - a[0+2*n] = 0.56; - a[0+3*n] = -0.10; - - a[1+1*n] = 5.03; - a[1+2*n] = -0.83; - a[1+3*n] = 1.18; - - a[2+2*n] = 0.76; - a[2+3*n] = 0.34; - - a[3+3*n] = 1.18; - - b[0] = 8.70; - b[1] = -13.35; - b[2] = 1.89; - b[3] = -4.14; - - /* Solve the equations Ax = b for x */ - - F07FA f07fa = new F07FA(); - info = 0; - f07fa.eval("Upper", n, 1, a, lda, b, n, info); - info = f07fa.getINFO(); - - if (info == 0) { - - /* Print solution */ - - System.out.println(" Solution"); - for (i = 0; i < n; i++) { - System.out.printf(" %11.4f", b[i]); - } - System.out.printf("\n"); - - /* Print details of factorization */ - - System.out.println(); - X04CA x04ca = new X04CA(); - ifail = 0; - x04ca.eval("Upper", "Non-unit diagonal", n, n, a, lda, "Cholesky factor U", ifail); - - } - else { - System.err.printf(" The leading minor of order %d is not positive definite \n", info); - } - - } - -} diff --git a/simple_examples/int32/F07FBJE.java b/simple_examples/int32/F07FBJE.java deleted file mode 100644 index 09bbd37..0000000 --- a/simple_examples/int32/F07FBJE.java +++ /dev/null @@ -1,122 +0,0 @@ -import com.nag.routines.F07.F07FB; -import com.nag.routines.X04.X04CA; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * F07FB example program text. - * @author ludovic - */ -public class F07FBJE { - - public static void main(String[] args) { - String fact,uplo,equed; - int n, nrhs,lda,ldaf,ldb,ldx; - int[] iwork; - double rcond; - double[] a,af,s,b,x,ferr,berr,work; - int info,ifail; - lda = 4; - ldaf = lda; - ldb = lda; - ldx = lda; - nrhs = 2; - n = 4; - a = new double[lda*lda]; - af = new double[ldaf*ldaf]; - b = new double[ldb*nrhs]; - berr = new double[nrhs]; - ferr = new double[nrhs]; - s = new double[lda]; - work = new double[3*lda]; - x = new double[ldx*nrhs]; - iwork = new int[lda]; - info = 1; - rcond = Double.NaN; - fact = "E"; - uplo = "U"; - equed = "Z";//dummy value - /*A = 4.16 -3.12 0.56 -0.10 - 5.03 -0.83 1.18 - 0.76 0.34 - 1.18*/ - a[0] = 4.16; - - a[4] = -3.12; - a[5] = 5.03; - - a[8] = 0.56; - a[9] = -0.83; - a[10] = 0.76; - - a[12] = -0.10; - a[13] = 1.18; - a[14] = 0.34; - a[15] = 1.18; - - /*B= 8.70 8.30 - -13.35 2.13 - 1.89 1.61 - - 4.14 5.00*/ - b[0] = 8.70; - b[1] = -13.35; - b[2] = 1.89; - b[3] = -4.14; - - b[4] = 8.30; - b[5] = 2.13; - b[6] = 1.61; - b[7] = 5.00; - - System.out.println(" F07FBJ Example Program Results"); - System.out.println(); - - F07FB f07fb = new F07FB(fact, uplo, n, nrhs, a, lda, af, ldaf, equed, s, b, - ldb, x, ldx, rcond, ferr, berr, work, iwork, info); - f07fb.eval(); - fact = f07fb.getFACT(); - uplo = f07fb.getUPLO(); - equed = f07fb.getEQUED(); - rcond = f07fb.getRCOND(); - info = f07fb.getINFO(); - - - if ((info == 0) || (info == n+1)) { - ifail = 0; - (new X04CA()).eval("General"," ",n,nrhs,x,ldx,"Solution(s)",ifail); - System.out.println(); - System.out.println(" Backward errors (machine-dependent)"); - System.out.print(" "); - for (int ii = 0; ii < nrhs; ++ii) { - System.out.printf(" %11.1e",berr[ii]); - } - System.out.println("\n"); - System.out.println(" Estimated forward error bounds (machine-dependent)"); - System.out.print(" "); - for (int ii = 0; ii < nrhs; ++ii) { - System.out.printf(" %11.1e",ferr[ii]); - } - System.out.println("\n"); - System.out.println(" Estimate of reciprocal condition number"); - System.out.printf(" %11.1e\n",rcond); - System.out.println(); - if (equed.equalsIgnoreCase("N")) { - System.out.println(" A has not been equilibrated"); - } - else if (equed.equalsIgnoreCase("N")) { - System.out.println(" A has been row and column scaled as diag(S)*A*diag(S)"); - } - - if (info == n+1) { - System.out.println(); - System.out.println(" The matrix A is singular to working precision"); - } - - } - else { - System.out.printf(" The leading minor of order %3d is not positive definite\n"); - } - - } - -} diff --git a/simple_examples/int32/F08BTJE.java b/simple_examples/int32/F08BTJE.java deleted file mode 100644 index 43c219b..0000000 --- a/simple_examples/int32/F08BTJE.java +++ /dev/null @@ -1,228 +0,0 @@ -import static java.lang.Math.*; - -import com.nag.routines.F06.F06JJ; -import com.nag.routines.F06.F06ZJ; -import com.nag.routines.F08.F08AU; -import com.nag.routines.F08.F08BT; -import com.nag.routines.Routine; -import com.nag.routines.X04.X04DB; -import com.nag.types.NAGComplex; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.util.regex.Matcher; -import java.util.regex.Pattern; - -/** - * F08BT example program text. - * @author ludovic - */ -public class F08BTJE { - - public static void main(String[] args) throws FileNotFoundException, IOException { - int incl = 1, nb = 64; - double tol; - int ifail, info = 0, k, lda, ldb, lwork, m, n, nrhs; - NAGComplex[] a, b, tau, work; - double[] rnorm, rwork; - int[] jpvt; - String[] clabs = new String[]{" "}, rlabs = new String[]{" "}; - - // Setup complex constants - NAGComplex one = new NAGComplex(); - NAGComplex zero = new NAGComplex(); - one.setRe(1.0); - one.setIm(0.0); - zero.setRe(0.0); - zero.setIm(0.0); - - // Inform the Routine class of the type of complex in use - can use any complex object - Routine.complex = one; - - System.out.println(" F08BTJ Example Program Results"); - System.out.println(); - - // Read values from data file - BufferedReader br = new BufferedReader(new FileReader(args[0])); - String line = br.readLine(); - line = br.readLine().trim(); - line = br.readLine().trim(); - String[] vals = line.split("\\s+"); - m = Integer.parseInt(vals[0].trim()); - n = Integer.parseInt(vals[1].trim()); - nrhs = Integer.parseInt(vals[2].trim()); - lda = ldb = m; - lwork = (n + 1) * nb; - a = new NAGComplex[lda * n]; - b = new NAGComplex[ldb * nrhs]; - tau = new NAGComplex[n]; - work = new NAGComplex[lwork]; - rnorm = new double[nrhs]; - rwork = new double[2 * n]; - jpvt = new int[n]; - - // Actually initialize the complex arrays - for (int i = 0; i < a.length; ++i) { - a[i] = new NAGComplex(); - } - for (int i = 0; i < b.length; ++i) { - b[i] = new NAGComplex(); - } - for (int i = 0; i < tau.length; ++i) { - tau[i] = new NAGComplex(); - } - for (int i = 0; i < work.length; ++i) { - work[i] = new NAGComplex(); - } - - /* Read A and B from data file */ - - readCompMatrix(br, a, lda, n); - readCompMatrix(br, b, ldb, nrhs); - br.close(); - - /* Initialize JPVT to be zero so that all columns are free */ - - for (int i = 0; i < n; ++i) { - jpvt[i] = 0; - } - - /* Compute the QR factorization of A */ - - F08BT f08bt = new F08BT(m, n, a, lda, jpvt, tau, work, lwork, rwork, info); - f08bt.eval(); - - /* Compute C = (C1) = (Q**H)*B, storing the result in B (C2) */ - - String side = "Left"; - String conjTrans = "Conjugate Transpose"; - F08AU f08au = new F08AU(side, conjTrans, m, nrhs, n, a, lda, tau, b, ldb, work, lwork, info); - f08au.eval(); - a = (NAGComplex[])f08au.getA(); - - /* Choose TOL to reflect the relative accuracy of the input data */ - - tol = 0.01; - - /* Determine and print the rank, K, or R relative to TOL */ - - for (k = 1; k < n + 1; ++k) { - if (abs(a[k - 1 + lda * (k - 1)]) <= tol * abs(a[0])) { - break; - } - } - k = k - 1; - - System.out.println(" Tolerance used to estimate the rank of A"); - System.out.printf(" %11.2E\n", tol); - System.out.println(" Estimated rank of A"); - System.out.printf(" %8d\n", k); - - /* Compute least squares solutions by back-substitution in R(1:K,1:K)*Y = C1 - * storing the result in B */ - - String upDown = "Upper"; - String trans = "No transpose"; - String unit = "Non-Unit"; - F06ZJ f06zj = new F06ZJ(side, upDown, trans, unit, k, nrhs, one, a, lda, b, ldb); - f06zj.eval(); - - /* Compute estimates of the square roots of the residual sums of squares - * (2-norm of each of the columns of C2) */ - - int mMinusK = m - k; - NAGComplex[] btmp = new NAGComplex[b.length]; - for (int i = 0; i < btmp.length; ++i) { - btmp[i] = new NAGComplex(); - } - System.arraycopy(b, k, btmp, 0, b.length - k); - - F06JJ f06jj = new F06JJ(mMinusK, btmp, incl); - rnorm[0] = f06jj.eval(mMinusK, btmp, incl); - System.arraycopy(btmp, 0, b, k, b.length - k); - for (int j = 1; j < nrhs; ++j) { - System.arraycopy(b, k + j * ldb, btmp, 0, b.length - k - j * ldb); - rnorm[j] = f06jj.eval(mMinusK, btmp, incl); - System.arraycopy(btmp,0, b, k + j * ldb, b.length - k - j * ldb); - } - - /* Set the remaining elements of the solutions to zero (to give the - * basic solutions) */ - - for (int i = k; i < n; ++i) { - for (int j = 0; j < nrhs; ++j) { - NAGComplex tmp = new NAGComplex(); - tmp.setRe(0.0); - tmp.setIm(0.0); - b[i + j * ldb] = tmp; - } - } - - /* Permute the least squares solution stored in B to give X = P*Y */ - - for (int j = 0; j < nrhs; j++) { - for (int i = 0; i < n; i++) { - work[jpvt[i] - 1] = b[j*ldb + i]; - } - for (int i = 0; i < n; i++) { - b[j*ldb + i] = work[i]; - } - } - - /* Print least squares solutions */ - - X04DB x04db = new X04DB(); - ifail = 0; - x04db.eval("General"," ",n,nrhs,b,ldb,"Bracketed","F7.4","Least squares solution(s)", - "Integer",rlabs,"Integer",clabs,80,0,ifail); - - /* Print the square roots of the residual sums of squares */ - - System.out.println(); - System.out.println(" Square root(s) of the residual sum(s) of squares"); - System.out.printf(" "); - for (int i = 0; i < nrhs; ++i) { - System.out.printf("%11.2E", rnorm[i]); - } - System.out.println(); - - } - - private static void readCompMatrix(BufferedReader br, NAGComplex[] mat, int row, - int col) throws IOException { - - // matches one complex number (without the brackets...) - String complexPat = "\\(([,0-9\\.\\-\\+\\s]*)\\)"; - String fullPattern = complexPat; - for (int i = 0; i < col -1; ++i) { - fullPattern = fullPattern + "\\s*" + complexPat; - } - fullPattern = fullPattern + ".*"; - Pattern comppat = Pattern.compile(fullPattern); - - for (int i = 0; i < row; ++i) { - String line = br.readLine().trim(); - if (line.equalsIgnoreCase("")) { - line = br.readLine().trim(); - } - Matcher m = comppat.matcher(line.trim()); - if (m.matches()) { - for (int j = 0; j < col; ++j) { - String[] numbers = m.group(j + 1).trim().split(","); - mat[i + j * row].setRe(Double.parseDouble(numbers[0].trim())); - mat[i + j * row].setIm(Double.parseDouble(numbers[1].trim())); - // System.out.print("mat["+i+","+j+"]=("+numbers[0].trim()+","+numbers[1].trim()+") "); - } - // System.out.println(); - } - - - } - } - - private static double abs(NAGComplex z) { - return sqrt(z.getRe() * z.getRe() + z.getIm() * z.getIm()); - } - -} diff --git a/simple_examples/int32/F08FAJE.java b/simple_examples/int32/F08FAJE.java deleted file mode 100644 index 028f854..0000000 --- a/simple_examples/int32/F08FAJE.java +++ /dev/null @@ -1,113 +0,0 @@ -import com.nag.routines.F08.DDISNA; -import com.nag.routines.F08.F08FA; -import com.nag.routines.F16.F16JQ; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X04.X04CA; -import java.util.Arrays; -import java.util.logging.Level; -import java.util.logging.Logger; - - -/** - * F08FA example program text. - * @author ludovic - */ -public class F08FAJE { - - public static void main(String[] args) { - int n = 4, LWork = n*64, lda = n; - double[] a, w, work,zerrbd,rcondz, colVector; - int info = 0, ifail = 0, k = 0; - a = new double[n * n]; - w = new double[n]; - work = new double[LWork]; - zerrbd = new double[n]; - rcondz = new double[n]; - colVector = new double[n]; - - System.out.println(" F08FAJ Example Program Results\n"); - - //array a : Stored in column major way - - a[0] = 1.0; - a[1] = 2.0; - a[2] = 3.0; - a[3] = 4.0; - - a[4] = 2.0; - a[5] = 2.0; - a[6] = 3.0; - a[7] = 4.0; - - a[8] = 3.0; - a[9] = 3.0; - a[10] = 3.0; - a[11] = 4.0; - - a[12] = 4.0; - a[13] = 4.0; - a[14] = 4.0; - a[15] = 4.0; - - //initializing the info parameter - info = 0; - w[0] = Double.NaN; - w[1] = Double.NaN; - w[2] = Double.NaN; - w[3] = Double.NaN; - F08FA f08fa = new F08FA("V", "U", n, a, n, w, work, LWork, info); - f08fa.eval(); - info = f08fa.getINFO(); - - if (info == 0) { - System.out.println(" Eigenvalues"); - System.out.print(" "); - for (int i = 0; i < n; ++i) { - System.out.printf(" %8.4f",w[i]); - } - System.out.println(); - - // Normalize the eigenvectors: largest element positive - F16JQ f16jq = new F16JQ(); // aka blas_damax_val - for (int i = 0; i < n; i++) { - System.arraycopy(a, 4*i, colVector, 0, 4); // Form vector to evaluate - f16jq.eval(n, colVector, 1, k, 0.0); // Get index of largest (absolute) value - k = f16jq.getK() - 1; // Make index zero based - - // Invert sign of column if largest element is negative - if (a[(4*i)+k] < 0) { - for (int j = 0; j < n; j++) { - a[(4*i)+j] = (-1) * a[(4*i)+j]; - } - } - - } - - (new X04CA()).eval("General"," ",n,n,a,lda,"Eigenvectors",ifail); - - double eps = (new X02AJ()).eval(); - double eerrbd = eps*Math.max(Math.abs(w[0]),Math.abs(w[n-1])); - - (new DDISNA()).eval("Eigenvectors",n,n,w,rcondz,info); - for (int i = 0; i < n; ++i) { - zerrbd[i] = eerrbd/rcondz[i]; - } - - System.out.println(); - System.out.println(" Error estimate for the eigenvalues"); - System.out.printf(" %11.1e\n",eerrbd); - System.out.println(); - System.out.println(" Error estimates for the eigenvectors"); - for (int i = 0; i < n; ++i) { - System.out.printf(" %11.1e",zerrbd[i]); - } - System.out.println(); - - } - else { - System.out.printf(" Failure in DSYEV. INFO =%4d",info); - } - - } - -} diff --git a/simple_examples/int32/F08XPJE.java b/simple_examples/int32/F08XPJE.java deleted file mode 100644 index cc894d3..0000000 --- a/simple_examples/int32/F08XPJE.java +++ /dev/null @@ -1,297 +0,0 @@ -import com.nag.routines.F06.F06UA; -import com.nag.routines.F06.F06BN; -import com.nag.routines.F06.ZGEMM; -import com.nag.routines.F08.ZGGESX; -import com.nag.routines.M01.M01DA; -import com.nag.routines.M01.M01ED; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X04.X04DB; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * F08XPJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class F08XPJE{ - - public static boolean chkfac = false; - public static boolean prcond = false; - public static boolean prmat = false; - public static int nb = 64; - - /* - * F08XPJ Example main program - */ - public static void main(String[] args){ - NAGComplex alph, bet; - double abnorm, anorm, bnorm, eps, normd, norme, tol; - int ifail, info = 0, lda, ldb, ldc, ldd, lde, ldvsl, ldvsr, liwork, lwork, n, sdim = 0; - boolean factor; - NAGComplex[] a, alpha, b, beta, c, d, e, vsl, vsr, work, dummy; - double[] rconde, rcondv, rwork; - int[] idum, iwork; - boolean[] bwork; - String[] clabs, rlabs; - - //Placeholders - idum = new int[1]; - rconde = new double[2]; - rcondv = new double[2]; - dummy = NAGComplex.createArray(1); - - System.out.println("F08XPJ Example Program Results"); - System.out.println(); - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - //Tell wrappers what time of complex type is going to be used - Routine.setComplex(new NAGComplex()); - - //n declared here for neater code but can be read in from data file - n = 4; - lda = n; - ldb = n; - ldc = n; - ldd = n; - lde = n; - ldvsl = n; - ldvsr = n; - - //Allocate - a = NAGComplex.createArray(lda * n); - alpha = NAGComplex.createArray(n); - b = NAGComplex.createArray(ldb * n); - beta = NAGComplex.createArray(n); - c = NAGComplex.createArray(ldc * n); - d = NAGComplex.createArray(ldd * n); - e = NAGComplex.createArray(lde * n); - vsl = NAGComplex.createArray(ldvsl * n); - vsr = NAGComplex.createArray(ldvsr * n); - rwork = new double[8 * n]; - bwork = new boolean[n]; - clabs = new String[1]; - clabs[0] = " "; - rlabs = new String[1]; - rlabs[0] = " "; - - //Use routine workspace query to get optimal workspace - lwork = -1; - liwork = -1; - //The NAG name equivalent of zggesx is f08xpf - selctg selctg1 = new selctg(); - ZGGESX zggesx = new ZGGESX("Vectors (left)", "Vectors (right)", "Sort", selctg1, "Both reciprocal condition numbers", - n, a, lda, b, ldb, sdim, alpha, beta, vsl, ldvsl, vsr, ldvsr, rconde, rcondv, dummy, lwork, - rwork, idum, liwork, bwork, info); - zggesx.eval(); - - //Make sure that there is a enough workspace for block size nb - lwork = Math.max((n * nb) + (n * n/2), (int) Math.rint(dummy[0].getRe())); - liwork = Math.max(n + 2, idum[0]); - work = NAGComplex.createArray(lwork); - iwork = new int[liwork]; - - //Read in matrices A and B - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); // skip header - line = reader.readLine(); //skip n (set manually for neater code) - String[] sVal; - - for(int i = 0; i < 2; i++){ - for(int j = 0; j < n; j++){ - line = reader.readLine(); - sVal = line.split("\\)"); - for(int k = 0; k < n; k++){ - if(i == 0){ - a[(k * n) + j] = parseComplex(sVal[k]); - } - else{ - b[(k * n) + j] = parseComplex(sVal[k]); - } - } - } - } - - } - catch(FileNotFoundException err){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException err){ - System.err.println("***FATAL: Can't read " + filename + "\n" + err.getMessage()); - } - - if(chkfac){ - for(int i = 0; i < a.length; i++){ - //Copy A and B into D and E respectively - d[i] = a[i]; - e[i] = b[i]; - } - } - - //Find the Forbenius norms of A and B - //The NAG name equivalent of the LAPACK auxiliary zlange is f06uaf - F06UA f06ua = new F06UA(); - anorm = f06ua.eval("Frobenius", n, n, a, lda, rwork); - bnorm = f06ua.eval("Frobenius", n, n, b, ldb, rwork); - - if(prmat){ - //Print matrices A and B - //ifail : behaviour on error exit - // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft - ifail = 0; - X04DB x04db = new X04DB("General", " ", n, n, a, lda, "Bracketed", "F8.4", "Matrix A", "Integer", - rlabs, "Integer", clabs, 80, 0, ifail); - x04db.eval(); - System.out.println(); - - ifail = 0; - x04db = new X04DB("General", " ", n, n, b, ldb, "Bracketed", "F8.4", "Matrix B", "Integer", - rlabs, "Integer", clabs, 80, 0, ifail); - x04db.eval(); - System.out.println(); - } - - factor = true; - //Find the generalized Schur form - //The NAG name equivalent of zggesx is f08xpf - zggesx = new ZGGESX("Vectors (left)", "Vectors (right)", "Sort", selctg1, "Both reciprocal condition numbers", - n, a, lda, b, ldb, sdim, alpha, beta, vsl, ldvsl, vsr, ldvsr, rconde, rcondv, work, lwork, - rwork, iwork, liwork, bwork, info); - zggesx.eval(); - - //update - sdim = zggesx.getSDIM(); - - if(info != 0 && info != (n + 2)){ - System.out.printf("Failure in ZGGESX. INFO = %d\n", info); - factor = false; - } - else if(chkfac){ - //Compute A - Q*S*Z^H from the factorization of (A,B) and store in matrix D - //The NAG name equivalent of zgemm is f06zaf - alph = new NAGComplex(1, 0); - bet = new NAGComplex(0, 0); - ZGEMM zgemm = new ZGEMM("N", "N", n, n, n, alph, vsl, ldvsl, a, lda, bet, c, ldc); - zgemm.eval(); - - alph = new NAGComplex(-1, 0); - bet = new NAGComplex(1, 0); - zgemm = new ZGEMM("N", "C", n, n, n, alph, c, ldc, vsr, ldvsr, bet, d, ldd); - zgemm.eval(); - - //Compute B - Q*T*Z^H from the factorization of (A,B) and store in matrix E - alph = new NAGComplex(1, 0); - bet = new NAGComplex(0, 0); - zgemm = new ZGEMM("N", "N", n, n, n, alph, vsl, ldvsl, b, ldb, bet, c, ldc); - zgemm.eval(); - - alph = new NAGComplex(-1, 0); - bet = new NAGComplex(1, 0); - zgemm = new ZGEMM("N", "C", n, n, n, alph, c, ldc, vsr, ldvsr, bet, e, lde); - zgemm.eval(); - - //Find norms of matrices D and E and warn if either is too large - f06ua = new F06UA("0", ldd, n, d, ldd, rwork); - normd = f06ua.eval(); - X02AJ x02aj = new X02AJ(); - if(normd > Math.pow(x02aj.eval(), 0.75)){ - System.out.println("Norm of A-(Q*S*Z^T) is much greater than 0."); - factor = false; - System.out.println("Schur factorization has failed"); - } - f06ua = new F06UA("0", lde, n, e, lde, rwork); - norme = f06ua.eval(); - if(norme > Math.pow(x02aj.eval(), 0.75)){ - System.out.println("Norm of B-(Q*T*Z^T is much greater than 0."); - factor = false; - } - } - - if(factor){ - //Print eigenvalue details - System.out.printf("Number of eigenvalues for which SELCTG is true = %d\n", sdim); - System.out.println("(dimension of deflating subspaces)"); - - System.out.println(); - //Print selected (finite) generalized eigenvalues - System.out.println("Selected generalized eigenvalues"); - - //Store absolute values of eigenvalues for ranking - for(int i = 0; i < n; i++){ - work[i] = alpha[i].divide(beta[i]); - rwork[i] = NAGComplex.abs(work[i]); - } - - //Rank eigenvalues - ifail = 0; - M01DA m01da = new M01DA(rwork, 1, sdim, "Descending", iwork, ifail); - m01da.eval(); - - //Sort eigevalues in work - M01ED m01ed = new M01ED(work, 1, sdim, iwork, ifail); - m01ed.eval(); - for(int i = 0; i < sdim; i++){ - System.out.printf(" %d\t(%.2f, %.2f)\n", i + 1, work[i].getRe(), work[i].getIm()); - } - - if(info == n + 2){ - System.out.println("*** note that rounding errors mean that leading eigenvalues in"); - System.out.println("the generalized Schur form no longer satisfy SELCTG = TRUE"); - System.out.println(); - } - - if(prcond){ - //Compute the machine precision and sqrt(anorm^2 + bnorm^2) - X02AJ x02aj = new X02AJ(); - eps = x02aj.eval(); - F06BN f06bn = new F06BN(anorm, bnorm); - abnorm = f06bn.eval(); - tol = eps * abnorm; - - //Print out the reciprocal condition numbers and error bound for selected eigenvalues - System.out.println("Reciprocal condition numbers for the average of the selected"); - System.out.println("eigenvalues and their asymptotic error bound"); - System.out.printf("rcond-left = %.1e, rcond-right = %.1e, error = %.1e\n", rcondv[0], rcondv[1], tol/rcondv[1]); - } - } - else{ - System.out.println("Schur factorization has failed"); - } - - } - - /** - * Converts String read in from data file to NAGComplex value. - * @param s - * Complex number string - * @return new NAGComplex representing s - */ - public static NAGComplex parseComplex(String s){ - s = s.trim(); - double re = Double.parseDouble(s.substring(1, 7)); - double im = Double.parseDouble(s.substring(8)); - return new NAGComplex(re, im); - } - - /** - * Class representing function selctg implementing ZGGESX_SELCTG to pass to ZGGESX. - */ - public static class selctg extends ZGGESX.Abstract_ZGGESX_SELCTG{ - public boolean eval(){ - return (NAGComplex.abs((NAGComplex)this.A) < (6 * NAGComplex.abs((NAGComplex)this.B))); - } - } - -} diff --git a/simple_examples/int32/G01ALJE.java b/simple_examples/int32/G01ALJE.java deleted file mode 100644 index 672a151..0000000 --- a/simple_examples/int32/G01ALJE.java +++ /dev/null @@ -1,55 +0,0 @@ -import com.nag.routines.G01.G01AL; - -/** - * G01ALJ Example Program Text - * @author willa - * @since 27.1.0.0 - */ -public class G01ALJE{ - - /** - * G01ALJ Example main program - */ - public static void main(String[] args){ - int ifail, n; - double[] x, res; - int[] iwrk; - - res = new double[5]; - - System.out.println("G01ALJ Example Program Results"); - System.out.println(); - - //Problem size - n = 12; - - //Allocate - x = new double[n]; - iwrk = new int[n]; - - //Data - x[0] = 12; - x[1] = 9; - x[2] = 2; - x[3] = 5; - x[4] = 6; - x[5] = 8; - x[6] = 2; - x[7] = 7; - x[8] = 3; - x[9] = 1; - x[10] = 11; - x[11] = 10; - - //Calculate summary statistics - ifail = 0; - G01AL g01al = new G01AL(n, x, iwrk, res, ifail); - g01al.eval(); - - System.out.printf("Maximum %.4f\n", res[4]); - System.out.printf("Upper Hinge (75%% quantile) %.4f\n", res[3]); - System.out.printf("Median (50%% quantile) %.4f\n", res[2]); - System.out.printf("Lower Hinge (25%% quantile) %.4f\n", res[1]); - System.out.printf("Minimum %.4f\n", res[0]); - } -} diff --git a/simple_examples/int32/G02AKJE.java b/simple_examples/int32/G02AKJE.java deleted file mode 100644 index 8ddaff2..0000000 --- a/simple_examples/int32/G02AKJE.java +++ /dev/null @@ -1,68 +0,0 @@ -import com.nag.routines.G02.G02AK; -import com.nag.routines.X04.X04CA; - -/** - * G02AK example program text. - * @author joed - * @since 27.0.0.0 - */ -public class G02AKJE { - - /** - * G02AKJ example main program. - */ - public static void main(String[] args) { - - G02AK g02ak = new G02AK(); - X04CA x04ca = new X04CA(); - double errtol, f, rankerr, ranktol; - int i, ifail, ldg, ldx, maxit, maxits, n, nsub, rank; - double[] g, x; - - System.out.println("G02AKJ Example Program Results\n"); - - // Problem size - n = 4; - ldg = n; - ldx = n; - - // Rank constraint - rank = 2; - - // Matrix G (column-major) - g = new double[]{ - 2.0, -1.0, 0.0, 0.0, - -1.0, 2.0, -1.0, 0.0, - 0.0, -1.0, 2.0, -1.0, - 0.0, 0.0, -1.0, 2.0 - }; - - // Use the defaults for errtol, ranktol, maxits, maxit - errtol = 0.0; - ranktol = 0.0; - maxits = 0; - maxit = 0; - - // Calculate rank constrained nearest correlation matrix - ifail = 0; - x = new double[ldx*n]; - f = 0.0; - rankerr = 0.0; - nsub = 0; - g02ak.eval(g, ldg, n, rank, errtol, ranktol, maxits, maxit, x, ldx, f, - rankerr, nsub, ifail); - nsub = g02ak.getNSUB(); - f = g02ak.getF(); - rankerr = g02ak.getRANKERR(); - - // Display results - ifail = 0; - x04ca.eval("General", " ", n, n, x, ldx, "NCM with rank constraint", ifail); - System.out.println(); - System.out.printf("Number of subproblems solved: %12d\n\n", nsub); - System.out.printf("Squared Frobenius norm of difference: %9.4f\n\n", f); - System.out.printf("Rank error: %35.4f\n", rankerr); - - } - -} diff --git a/simple_examples/int32/G02BJJE.java b/simple_examples/int32/G02BJJE.java deleted file mode 100644 index 3de843e..0000000 --- a/simple_examples/int32/G02BJJE.java +++ /dev/null @@ -1,303 +0,0 @@ -import com.nag.routines.G02.G02BJ; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * G02BJ example program text. - * @author ludovic - */ -public class G02BJJE { - - public static void main(String[] args) { - int i, ifail, ldcnt, ldr, ldssp, ldx, ncases = 0; //, m = 0, n = 0, nvars = 0; - double[] cnt, r, ssp, std, xbar;//, xmiss; - - if (args.length != 1) { - G02BJJE.usage(); - } - - String dataFile = args[0]; - DataHolder data = new DataHolder(); - readDataFile(dataFile, data); - System.out.println(" G02BJJ Example Program Results"); - System.out.println(); - - ldcnt = ldr = ldssp = data.nvars; - ldx = data.n; - cnt = new double[ldcnt * data.nvars]; - r = new double[ldr * data.nvars]; - ssp = new double[ldssp * data.nvars]; - std = new double[data.nvars]; - xbar = new double[data.nvars]; - - - //Display the data - - System.out.printf(" Number of variables (columns) = %5d\n", data.m); - System.out.printf(" Number of cases (rows) = %5d\n", data.n); - System.out.println(); - System.out.println(" Data matrix is:-"); - for (int ii = 0; ii < data.m; ++ii) { - System.out.printf(" %12d",ii+1); - } - System.out.println(); - for (int ii = 0; ii < data.n; ++ii) { - System.out.printf(" %3d ",ii+1); - for (int jj = 0; jj < data.m; ++jj) { - System.out.printf("%12.4f ",data.x[ii + jj * data.n]); - } - System.out.println(); - } - - ifail = 0; - G02BJ g02bj = new G02BJ(data.n, data.m, data.x, ldx, data.miss, data.xmiss, - data.nvars, data.kvar, xbar, std, ssp, ldssp, r, ldr, ncases, cnt, - ldcnt, ifail); - g02bj.eval(); - - data.n = g02bj.getN(); - data.m = g02bj.getM(); - data.x = g02bj.getX(); - ldx = g02bj.getLDX(); - data.miss = g02bj.getMISS(); - data.xmiss = g02bj.getXMISS(); - data.nvars = g02bj.getNVARS(); - data.kvar = g02bj.getKVAR(); - xbar = g02bj.getXBAR(); - std = g02bj.getSTD(); - ssp = g02bj.getSSP(); - ldssp = g02bj.getLDSSP(); - r = g02bj.getR(); - ldr = g02bj.getLDR(); - ncases = g02bj.getNCASES(); - cnt = g02bj.getCNT(); - ldcnt = g02bj.getLDCNT(); - ifail = g02bj.getIFAIL(); - - //Display results - System.out.println(); - System.out.println(" Variable\tMean\tSt.dev."); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %5d %11.4f %11.4f\n",data.kvar[ii], xbar[ii], std[ii]); - } - System.out.println(); - System.out.println(" Sums of squares and cross-products of deviations"); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %12d",data.kvar[ii]); - } - System.out.println(); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %3d",data.kvar[ii]); - for (int jj = 0; jj < data.nvars; ++jj) { - System.out.printf(" %12.4f",ssp[ii + ldssp * jj]); - } - System.out.println(); - } - System.out.println(); - System.out.println(" Correlation coefficients"); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %12d",data.kvar[ii]); - } - System.out.println(); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %3d",data.kvar[ii]); - for (int jj = 0; jj < data.nvars; ++jj) { - System.out.printf(" %12.4f",r[ii + ldr * jj]); - } - System.out.println(); - } - System.out.println(); - System.out.printf(" Minimum number of cases used for any pair of variables: %5d\n", ncases); - System.out.println(); - System.out.println(" Numbers used for each pair are:"); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %12d",data.kvar[ii]); - } - System.out.println(); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %3d",data.kvar[ii]); - for (int jj = 0; jj < data.nvars; ++jj) { - System.out.printf(" %12.4f",cnt[ii + ldcnt * jj]); - } - System.out.println(); - } - System.out.println(); - } - - private static void usage() { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - /** - G02BJF Example Program Data - 5 4 3 :: N, M, NVARS - 3.0 3.0 1.0 2.0 - 6.0 4.0 -1.0 4.0 - 9.0 0.0 5.0 9.0 - 12.0 2.0 0.0 0.0 - -1.0 5.0 4.0 12.0 :: End of X - 1 1 0 1 :: MISS - -1.0 0.0 0.0 0.0 :: XMISS - 4 1 2 :: KVAR - */ - private static void readDataFile(String filename, DataHolder data) { - try { - BufferedReader br = new BufferedReader(new FileReader(filename)); - String line = br.readLine(); // skip header - line = br.readLine(); - String[] sVal = line.split("\\s+"); - data.setN(Integer.parseInt(sVal[0])); - data.setM(Integer.parseInt(sVal[1])); - data.setNvars(Integer.parseInt(sVal[2])); - - data.x = new double[data.n * data.m]; - data.miss = new int[data.m]; - data.xmiss = new double[data.m]; - data.kvar = new int[data.nvars]; - - for (int i = 0; i < data.n; ++i) { - line = br.readLine().trim(); - sVal = line.split("\\s+"); - for (int j = 0; j < data.m; ++j) { - data.x[i + j * data.n] = Double.parseDouble(sVal[j]); - } - } - line = br.readLine().trim(); - sVal = line.split("\\s+"); - for (int j = 0; j < data.m; ++j) { - data.miss[j] = Integer.parseInt(sVal[j]); - } - line = br.readLine().trim(); - sVal = line.split("\\s+"); - for (int j = 0; j < data.m; ++j) { - data.xmiss[j] = Double.parseDouble(sVal[j]); - } - - line = br.readLine().trim(); - sVal = line.split("\\s+"); - for (int j = 0; j < data.nvars; ++j) { - data.kvar[j] = Integer.parseInt(sVal[j]); - } - } - catch (FileNotFoundException ex) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch (IOException ex) { - System.err.println("***FATAL: Can't Read " + filename + "\n" + ex.getMessage()); - System.exit(-3); - } - - } - - private static class DataHolder { - private int n; - private int m; - private int nvars; - private double[] x; - private int[] miss; - private double[] xmiss; - private int[] kvar; - - /** - * @return the n - */ - public int getN() { - return n; - } - - /** - * @param n the n to set - */ - public void setN(int n) { - this.n = n; - } - - /** - * @return the m - */ - public int getM() { - return m; - } - - /** - * @param m the m to set - */ - public void setM(int m) { - this.m = m; - } - - /** - * @return the nvars - */ - public int getNvars() { - return nvars; - } - - /** - * @param nvars the nvars to set - */ - public void setNvars(int nvars) { - this.nvars = nvars; - } - - /** - * @return the x - */ - public double[] getX() { - return x; - } - - /** - * @param x the x to set - */ - public void setX(double[] x) { - this.x = x; - } - - /** - * @return the miss - */ - public int[] getMiss() { - return miss; - } - - /** - * @param miss the miss to set - */ - public void setMiss(int[] miss) { - this.miss = miss; - } - - /** - * @return the xmiss - */ - public double[] getXmiss() { - return xmiss; - } - - /** - * @param xmiss the xmiss to set - */ - public void setXmiss(double[] xmiss) { - this.xmiss = xmiss; - } - - /** - * @return the kvar - */ - public int[] getKvar() { - return kvar; - } - - /** - * @param kvar the kvar to set - */ - public void setKvar(int[] kvar) { - this.kvar = kvar; - } - } -} diff --git a/simple_examples/int32/G02BRJE.java b/simple_examples/int32/G02BRJE.java deleted file mode 100644 index 084f478..0000000 --- a/simple_examples/int32/G02BRJE.java +++ /dev/null @@ -1,134 +0,0 @@ -import com.nag.routines.G02.G02BR; - -/** - * G02BRJ Example Program Text - * @author willa - * @since 27.1.0.0 - */ -public class G02BRJE{ - - /** - * G02BRJ Example main program - */ - public static void main(String[] args){ - int ifail, itype, ldrr, ldx, m, n, ncases = 0; //placeholder - double[] rr, work1, work2, x, xmiss; - int[] incase, kworka, kworkb, kworkc, miss; - - System.out.println("G02BRJ Example Program Results"); - System.out.println(); - - //Problem size - n = 9; - m = 3; - itype = 0; - - ldrr = m; - ldx = n; - - //Allocate - rr = new double[ldrr * m]; - work1 = new double[n]; - work2 = new double[n]; - x = new double[ldx * m]; - xmiss = new double[m]; - incase = new int[n]; - kworka = new int[n]; - kworkb = new int[n]; - kworkc = new int[n]; - miss = new int[m]; - - //Data - //X = (1.70, 1.00, 0.50) - // (2.80, 4.00, 3.00) - // (0.60, 6.00, 2.50) - // (1.80, 9.00, 6.00) - // (0.99, 4.00, 2.50) - // (1.40, 2.00, 5.50) - // (1.80, 9.00, 7.50) - // (2.50, 7.00, 0.00) - // (0.99, 5.00, 3.00) - x[0] = 1.7; - x[1] = 2.8; - x[2] = 0.6; - x[3] = 1.8; - x[4] = 0.99; - x[5] = 1.4; - x[6] = 1.8; - x[7] = 2.5; - x[8] = 0.99; - x[9] = 1; - x[10] = 4; - x[11] = 6; - x[12] = 9; - x[13] = 4; - x[14] = 2; - x[15] = 9; - x[16] = 7; - x[17] = 5; - x[18] = 0.5; - x[19] = 3; - x[20] = 2.5; - x[21] = 6; - x[22] = 2.5; - x[23] = 5.5; - x[24] = 7.5; - x[25] = 0; - x[26] = 3; - - //Missing value flags - miss[0] = 1; - miss[1] = 0; - miss[2] = 1; - xmiss[0] = 0.99; - xmiss[1] = 0; - xmiss[2] = 0; - - //Display data - System.out.printf("Number of variables (columns) = %d\n", m); - System.out.printf("Number of case (rows) = %d\n", n); - System.out.println(); - System.out.println("Data matrix is:-\n"); - System.out.println(); - for(int i = 0; i < m; i++){ - System.out.printf("\t %d", i + 1); - } - System.out.println(); - for(int i = 0; i < n; i++){ - System.out.printf(" %d\t", i + 1); - for(int j = 0; j < m; j++){ - System.out.printf("%.4f\t", x[(j * n) + i]); - } - System.out.println(); - } - System.out.println(); - - //Calculate correlation coefficients - ifail = 0; - G02BR g02br = new G02BR(n, m, x, ldx, miss, xmiss, itype, rr, ldrr, ncases, incase, kworka, kworkb, kworkc, - work1, work2, ifail); - g02br.eval(); - - //Update - ncases = g02br.getNCASES(); - - //Display results - System.out.println("Matrix of rank correlation coefficients:"); - System.out.println("Upper triangle -- Spearman's"); - System.out.println("Lower triangle -- Kendall's tau"); - System.out.println(); - for(int i = 0; i < m; i++){ - System.out.printf("\t %d", i + 1); - } - System.out.println(); - for(int i = 0; i < m; i++){ - System.out.printf(" %d\t", i + 1); - for(int j = 0; j < m; j++){ - System.out.printf("%.4f\t", rr[(j * m) + i]); - } - System.out.println(); - } - System.out.println(); - System.out.printf("Number of cases actually used: %d\n", ncases); - } -} diff --git a/simple_examples/int32/G02DAJE.java b/simple_examples/int32/G02DAJE.java deleted file mode 100644 index c390197..0000000 --- a/simple_examples/int32/G02DAJE.java +++ /dev/null @@ -1,187 +0,0 @@ -import com.nag.routines.G02.G02BU; -import com.nag.routines.G02.G02DA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * G02DAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class G02DAJE{ - - /** - * G02DAJ Example main program - */ - public static void main(String[] args){ - double aic, arsq, en, mult, rsq, rss = 0, sw = 0, tol; - int idf = 0, ifail, ip, irank = 0, ldq, ldx, lwt, m, n; - boolean svd = false; - String mean, weight; - double[] b, cov, h, p, q, res, se, wk, wt, x, y, c, wmean; - int[] isx; - - System.out.println("G02DAJ Example Program Results"); - System.out.println(); - - c = new double[1]; - wmean = new double[1]; - - //Problem size (can be read in from data file - n = 12; - m = 4; - weight = "U"; - mean = "M"; - - if(weight.toLowerCase().equals("w")){ - lwt = n; - } - else{ - lwt = 0; - } - ldx = n; - - x = new double[ldx * m]; - y = new double[n]; - wt = new double[n]; - isx = new int[m]; - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - line = reader.readLine(); //skip n, m, weight, mean - - //Read in data - String[] sVal; - for(int i = 0; i < n; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int j = 0; j < m; j++){ - x[(j * n) + i] = Double.parseDouble(sVal[j]); - } - y[i] = Double.parseDouble(sVal[m]); - if(lwt > 0){ - wt[i] = Double.parseDouble(sVal[m + 1]); - } - } - - //Read in variable inclusion flags - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int i = 0; i < m; i++){ - isx[i] = Integer.parseInt(sVal[i]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - System.exit(-2); - } - - //Calcluate IP - ip = 0; - for(int i = 0; i < m; i++){ - if(isx[i] == 1){ - ip++; - } - } - if(mean.toLowerCase().equals("m")){ - ip = ip + 1; - } - - //Allocate - ldq = n; - b = new double[ip]; - cov = new double[((ip * ip) + ip)/2]; - h = new double[n]; - p = new double[ip * ip * (ip + 2)]; - q = new double[ldq * (ip + 1)]; - res = new double[n]; - se = new double[ip]; - wk = new double[ip * ip + (5 * (ip - 1))]; - - //Use suggested value for tolerance - tol = 0.000001; - - //fit general linear regression model - ifail = -1; - G02DA g02da = new G02DA(mean, weight, n, x, ldx, m, isx, ip, y, wt, rss, idf, b, se, cov, res, h, q, - ldq, svd, irank, p, tol, wk, ifail); - g02da.eval(); - ifail = g02da.getIFAIL(); - if(ifail != 0){ - if(ifail != 5){ - System.exit(-3); - } - } - - //Calculate (weighted) total sums of squares, adjusted for mean if required - //If in G02DAF, an intercept is added to the regression by including a comlumn of - //1's in X, rather than by using the MEAN argument then MEAN = "M" should be used - //in this call to G02BUF - ifail = 0; - G02BU g02bu = new G02BU(mean, weight, n, 1, y, n, wt, sw, wmean, c, ifail); - g02bu.eval(); - - idf = g02da.getIDF(); - irank = g02da.getIRANK(); - //Get effective number of observations (=N if there are no zero weights) - en = (double) idf + irank; - - rss = g02da.getRSS(); - //Calculate R-squared, corrected R-Squared and AIC - rsq = 1 - rss/c[0]; - if(mean.toLowerCase().equals("m")){ - mult = (en - 1) / (en - irank); - } - else{ - mult = en / (en - irank); - } - arsq = 1 - mult * (1 - rsq); - aic = en * Math.log(rss/en) + (2 * irank); - - svd = g02da.getSVD(); - //Disply results - if(svd){ - System.out.printf("Model not of full rank, rank = %d", irank); - System.out.println(); - } - System.out.printf("Residual sum of squares = %.4e\n", rss); - System.out.printf("Degrees of freedom = %d\n", idf); - System.out.printf("R-squared = %.4e\n", rsq); - System.out.printf("Adjusted R-squared = %.4e\n", arsq); - System.out.printf("AIC = %.4e\n", aic); - System.out.println(); - System.out.printf("Variable\tParameter estimate\tStandard error\n"); - System.out.println(); - if(ifail == 0){ - for(int i = 0; i < ip; i++){ - System.out.printf(" %d\t\t %.4e\t\t %.4e\n", (i + 1), b[i], se[i]); - } - } - else{ - for(int i = 0; i < ip; i++){ - System.out.printf(" %d\t\t %.4e\n", (i + 1), b[i]); - } - } - System.out.println(); - System.out.printf(" Obs\t\t Residuals\t\t H\n"); - System.out.println(); - for(int i = 0; i < n; i++){ - System.out.printf(" %d\t\t %.4e\t\t %.4e\n", (i + 1), res[i], h[i]); - } - - } -} diff --git a/simple_examples/int32/G02EEJE.java b/simple_examples/int32/G02EEJE.java deleted file mode 100644 index 5856fde..0000000 --- a/simple_examples/int32/G02EEJE.java +++ /dev/null @@ -1,184 +0,0 @@ -import com.nag.routines.G02.G02EE; -import java.io.*; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * G02EE example program text. - */ -public class G02EEJE { - - public static void main(String[] args) throws Exception { - int vnlen = 3; - double chrss, f, fin, rss; - rss = chrss = f = Double.NaN; - int idf = 0, ifail = 0, ifr = 0, istep = 0, ldq, ldx, lwt, m, maxip, n, nterm = 0; - boolean addvar = false; - String mean, weight, newvar; - newvar = " "; - double[] exss, p, q, wk, wt, x, y; - int[] isx; - String[] free, model, vname; - - System.out.println(" G02EEJ Example Program Results\n"); - - BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); - - String line = dataIn.readLine(); - - String[] data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); - - n = Integer.parseInt(data[0]); - m = Integer.parseInt(data[1]); - mean = data[2].substring(1,2); - weight = data[3].substring(1,2); - fin = Double.parseDouble(data[4]); - - if (weight.equalsIgnoreCase("W")) { - lwt = n; - } - else { - lwt = 0; - } - ldx = n; - - x = new double[ldx*m]; - y = new double[n]; - wt = new double[lwt]; - isx = new int[m]; - vname = new String[m]; - - for (int i = 0; i < vname.length;++i) { - StringBuilder tmp = new StringBuilder(); - for (int j = 0; j < vnlen; ++j) { - tmp.append(" "); - } - vname[i] = tmp.toString(); - } - - if (lwt > 0) { - for (int i = 0; i < n; ++i) { - data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); - for (int j = 0; j < m; ++j) { - x[i+j*ldx] = Double.parseDouble(data[j]); - } - y[i] = Double.parseDouble(data[m]); - wt[i] = Double.parseDouble(data[m+1]); - } - } - else { - for (int i = 0; i < n; ++i) { - data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); - for (int j = 0; j < m; ++j) { - x[i+j*ldx] = Double.parseDouble(data[j]); - } - y[i] = Double.parseDouble(data[m]); - } - } - data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); - for (int i = 0; i < m; ++i) { - isx[i] = Integer.parseInt(data[i]); - } - - data = dataIn.readLine().trim().split("::")[0].trim() - .replaceAll("^'","").replaceAll("'$","").split("'\\s+'"); - for (int i = 0; i < m; ++i) { - vname[i] = data[i].substring(0,3); - } - - dataIn.close(); - - maxip = 0; - for (int i = 0; i < m; ++i) { - if (isx[i] > 0) { - ++maxip; - } - } - - if (mean.equalsIgnoreCase("M")) { - maxip += 1; - } - - ldq = n; - model = new String[maxip]; - free = new String[maxip]; - exss = new double[maxip]; - q = new double[ldq*(maxip+2)]; - p = new double[maxip+1]; - wk = new double[2*maxip]; - - for (int i = 0; i < model.length; ++i) { - StringBuilder tmp = new StringBuilder(); - for (int j = 0; j < vnlen; ++j) { - tmp.append(" "); - } - model[i] = tmp.toString(); - } - for (int i = 0; i < free.length; ++i) { - StringBuilder tmp = new StringBuilder(); - for (int j = 0; j < vnlen; ++j) { - tmp.append(" "); - } - free[i] = tmp.toString(); - } - istep = 0; - ifail = -1; - - - G02EE g02ee = new G02EE(istep,mean,weight,n,m,x,ldx,vname,isx,maxip,y,wt,fin, - addvar,newvar,chrss,f,model,nterm,rss,idf,ifr,free,exss,q,ldq,p, - wk,ifail); - for (int i = 0; i < m; ++i) { - g02ee.setIFAIL(0); - g02ee.eval(); - - System.out.printf(" Step %2d\n",g02ee.getISTEP()); - if (!g02ee.getADDVAR()) { - System.out.printf(" No further variables added maximum F =%7.2f\n",g02ee.getF()); - System.out.print(" Free variables: "); - for (int j = 0; j < g02ee.getIFR(); ++j) { - System.out.print(" "+free[j]); - } - System.out.println(); - System.out.println(" Change in residual sums of squares for free variables:"); - for (int j = 0; j < g02ee.getIFR(); ++j) { - System.out.printf(" %9.4f",g02ee.getEXSS()[j]); - } - System.out.println(); - break; - } - else { - System.out.println(" Added variable is "+g02ee.getNEWVAR()); - System.out.printf(" Change in residual sum of squares = %12.4E\n",g02ee.getCHRSS()); - System.out.printf(" F Statistic = %7.2f\n",g02ee.getF()); - System.out.println(); - System.out.print(" Variables in model:"); - for (int j = 0; j < g02ee.getNTERM(); ++j) { - System.out.print(" "+g02ee.getMODEL()[j]); - } - System.out.println("\n"); - System.out.printf(" Residual sum of squares = %13.4E\n",g02ee.getRSS()); - System.out.printf(" Degrees of freedom = %2d\n",g02ee.getIDF()); - System.out.println(); - if (g02ee.getIFR() == 0) { - System.out.println(" No free variables remaining"); - break; - } - System.out.print(" Free variables: "); - for (int j = 0; j < g02ee.getIFR(); ++j) { - System.out.print(" "+free[j]); - } - System.out.println(); - System.out.println(" Change in residual sums of squares for free variables:"); - for (int j = 0; j < g02ee.getIFR(); ++j) { - System.out.printf(" %9.4f",g02ee.getEXSS()[j]); - } - System.out.println(); - - } - - } - - } - -} diff --git a/simple_examples/int32/G02MAJE.java b/simple_examples/int32/G02MAJE.java deleted file mode 100644 index 4a8bfcb..0000000 --- a/simple_examples/int32/G02MAJE.java +++ /dev/null @@ -1,130 +0,0 @@ -import com.nag.routines.G02.G02MA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.util.Arrays; - -/** - * G02MAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class G02MAJE{ - - /** - * G02MAJ example main program - */ - public static void main(String[] args){ - int ifail, ip, ldb, ldd, lisx, lropt, m, mnstep, mtype, n, nstep = 0, pred, prey; - double[] b, d, fitsum, ropt, y; - int[] isx; - - isx = new int[0]; //placeholder - - System.out.println("G02MAJ Example Program Results"); - System.out.println(); - - //data (Could also read in from data file) - //Problem size - n = 20; - m = 6; - - //Model Specification - mtype = 1; - pred = 3; - prey = 1; - mnstep = 6; - lisx = 0; - - //Variable inclusion flags aren't needed in this example - ip = m; - - //Optional arguments (using defaults) - lropt = 0; - ropt = new double[lropt]; - - //D and Y - ldd = n; - y = new double[n]; - d = new double[ldd * m]; - - //Read in D and Y from data file (too large to write out) - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - line = reader.readLine(); //skip N, M - line = reader.readLine(); //skip mtype, pred, prey, mnstep, lisx - - String sVal[]; - - for(int i = 0; i < n; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int j = 0; j < m; j++){ - d[(j * n) + i] = Double.parseDouble(sVal[j]); - } - y[i] = Double.parseDouble(sVal[m]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - System.exit(-2); - } - - //Allocate output arrays - ldb = ip; - b = new double[ldb * (mnstep + 2)]; - fitsum = new double[6 * (mnstep + 1)]; - - //Call the model fitting routine - ifail = -1; - G02MA g02ma = new G02MA(mtype, pred, prey, n, m, d, ldd, isx, lisx, y, mnstep, ip, nstep, b, ldb, - fitsum, ropt, lropt, ifail); - g02ma.eval(); - ifail = g02ma.getIFAIL(); - if(ifail != 0){ - if(ifail != 112 && ifail != 161 && ifail != 162 && ifail !=163){ - //ifail = 112, 161, 162, 163 are warnings, so no need to terminate - System.exit(-2); - } - } - - //update - nstep = g02ma.getNSTEP(); - - //Display the parameter estimates - System.out.printf(" Step\t\t\tParameter Estimate\n"); - System.out.println("------------------------------------------------------"); - for(int i = 0; i < nstep; i++){ - System.out.printf(" %d", (i + 1)); - for(int j = 0; j < ip; j++){ - System.out.printf("\t%.3f", b[j + (i * nstep)]); - } - System.out.printf("\n"); - } - System.out.println(); - System.out.printf("alpha: %.3f\n", fitsum[nstep * 6]); - System.out.println(); - System.out.printf(" Step Sum\tRSS\t df\t Cp\t Ck\tStep Size\n"); - System.out.println("---------------------------------------------------------"); - for(int k = 0; k < nstep; k++){ - System.out.printf(" %d %.3f\t%.3f %d\t %.3f\t %.3f %.3f\n", (k + 1), fitsum[k * nstep], fitsum[(k * nstep) + 1], - (int)(Math.floor(fitsum[(k + nstep) + 2] + 0.5)), fitsum[(k * nstep) + 3], - fitsum[(k * nstep) + 4], fitsum[(k * nstep) + 5]); - } - System.out.println(); - System.out.printf("sigma^2: %.3f\n", fitsum[(nstep * 6) + 4]); - } -} diff --git a/simple_examples/int32/G03GAJE.java b/simple_examples/int32/G03GAJE.java deleted file mode 100644 index ba20592..0000000 --- a/simple_examples/int32/G03GAJE.java +++ /dev/null @@ -1,355 +0,0 @@ -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.util.Arrays; -import com.nag.routines.G03.G03GA; -import com.nag.routines.X04.X04CA; -import com.nag.routines.Routine; - -/** - * G03GAJ example program text. - * @author willa - * @since 27.0.0.0 - */ -public class G03GAJE{ - - /** - * G03GAJ example main program. - */ - public static void main(String[] args){ - int i, ldx, lprob, riter, lds, sds, ifail = 0; - double[] w, g, s, f; - double tol, loglik = 0; - - if(args.length != 1){ - G03GAJE.usage(); - } - - // Data file name as argument - String filename = args[0]; - // DataHolder object to hold data read in from data file - DataHolder data = new DataHolder(); - - readDataFile(filename, data); - - System.out.println(" G03GAJ Example Program Results"); - System.out.println(); - - // Leading dimensions - ldx = data.n; - lprob = data.n; - - - switch(data.sopt){ - case 1: - s = new double[data.nvar * data.nvar * data.ng]; - lds = data.nvar; - sds = data.nvar; - break; - case 2: - s = new double[data.nvar * data.nvar * 1]; - lds = data.nvar; - sds = data.nvar; - break; - case 3: - s = new double[data.nvar * data.ng * 1]; - lds = data.nvar; - sds = data.ng; - break; - case 4: - s = new double[data.nvar * 1 * 1]; - lds = data.nvar; - sds = 1; - break; - default: - s = new double[1 * 1 * 1]; - lds = 1; - sds = 1; - break; - } - - // Allocate array size - g = new double[data.nvar * data.ng]; - w = new double[data.ng]; - f = new double[data.n * data.ng]; - tol = 0.0; - riter = 5; - - ifail = 0; - - // Create g03ga object with variables from data file - G03GA g03ga = new G03GA(data.n, data.m, data.x, ldx, data.isx, data.nvar, data.ng, data.popt, data.prob, - lprob, data.niter, riter, w, g, data.sopt, s, lds, sds, f, tol, loglik, ifail); - - // Run routine - g03ga.eval(); - - // Update variables - data.n = g03ga.getN(); - data.m = g03ga.getM(); - data.x = g03ga.getX(); - ldx = g03ga.getLDX(); - data.isx = g03ga.getISX(); - data.nvar = g03ga.getNVAR(); - data.ng = g03ga.getNG(); - data.popt = g03ga.getPOPT(); - data.prob = g03ga.getPROB(); - lprob = g03ga.getLPROB(); - data.niter = g03ga.getNITER(); - riter = g03ga.getRITER(); - w = g03ga.getW(); - g = g03ga.getG(); - data.sopt = g03ga.getSOPT(); - s = g03ga.getS(); - lds = g03ga.getLDS(); - sds = g03ga.getSDS(); - f = g03ga.getF(); - tol = g03ga.getTOL(); - loglik = g03ga.getLOGLIK(); - ifail = g03ga.getIFAIL(); - - // Results - X04CA x04ca = new X04CA(); - - System.out.println(); - ifail = 0; - x04ca.eval("g", "n", 1, data.ng, w, 1, "Mixing proportions", ifail); - - System.out.println(); - ifail = 0; - x04ca.eval("g", "n", data.nvar, data.ng, g, data.nvar, "Group means", ifail); - - System.out.println(); - switch(data.sopt){ - case 1: - for(i = 0; i < data.ng; i++){ - ifail = 0; - // Wrapper returns a 1-dimensional array so X04CA has to be called like this to mimic - // calling X04CA along the 3rd dimension - x04ca.eval("g", "n", data.nvar, data.nvar, - Arrays.copyOfRange(s, (i * (data.nvar * data.nvar)), (data.nvar * data.nvar * data.ng)), - lds, "Variance-cavariance matrix", ifail); - } - break; - case 2: - ifail = 0; - x04ca.eval("g", "n", data.nvar, data.nvar, s, lds, "Pooled Variance-covariance matrix", ifail); - break; - case 3: - ifail = 0; - x04ca.eval("g", "n", data.nvar, data.ng, s, lds, "Groupwise Variance", ifail); - break; - case 4: - ifail = 0; - x04ca.eval("g", "n", data.nvar, 1, s, lds, "Pooled Variance", ifail); - break; - case 5: - ifail = 0; - x04ca.eval("g", "n", 1, 1, s, lds, "Overall Variance", ifail); - break; - } - - System.out.println(); - ifail = 0; - x04ca.eval("g", "n", data.n, data.ng, f, data.n, "Densities", ifail); - - System.out.println(); - ifail = 0; - x04ca.eval("g", "n", data.n, data.ng, data.prob, data.n, "Membership probabilities", ifail); - - System.out.println(); - System.out.println("No. iterations: " + data.niter); - System.out.printf("Log-likelihood: %.04f\n", loglik); - } - - /** - * Read data from given filename and puts into DataHolder object - * @param filename - * Name of data file (absolute or relative path) - * @param data - * DataHolder object to store data from data file - */ - public static void readDataFile(String filename, DataHolder data){ - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - // Problem size - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - data.setN(Integer.parseInt(sVal[0])); - data.setM(Integer.parseInt(sVal[1])); - data.setNvar(Integer.parseInt(sVal[2])); - - // Number of groups - line = reader.readLine(); - sVal = line.split("\\s+"); - data.setNg(Integer.parseInt(sVal[0])); - - // Scaling option - line = reader.readLine(); - sVal = line.split("\\s+"); - data.setSopt(Integer.parseInt(sVal[0])); - - // Initial probabilities option - line = reader.readLine(); - sVal = line.split("\\s+"); - data.setPopt(Integer.parseInt(sVal[0])); - - // Maximum number of iterations - line = reader.readLine(); - sVal = line.split("\\s+"); - data.setNiter(Integer.parseInt(sVal[0])); - - // - data.x = new double[data.m * data.n]; - data.prob = new double[data.ng * data.n]; - data.isx = new int[data.m]; - - //Data matrix X - for(int i = 0; i < data.n; ++i){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int j = 0; j < data.m; ++j){ - data.x[i + (j * data.n)] = Double.parseDouble(sVal[j]); - } - } - - //Included variables - if(data.nvar != data.m){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int i = 0; i < data.m; ++i){ - data.isx[i] = Integer.parseInt(sVal[i]); - } - } - - - //Optionally read initial probabilities of group memebership (included in example data) - if(data.popt == 2){ - for(int i = 0; i < data.n; ++i){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int j = 0; j < data.ng; ++j){ - data.prob[i + (j * data.n)] = Double.parseDouble(sVal[j]); - } - } - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - - } - - /** - * Stores data from data file for later reference - */ - private static class DataHolder{ - private int n; - private int m; - private int nvar; - private int ng; - private int sopt; - private int popt; - private int niter; - private int isx[]; - private double x[]; - private double prob[]; - - public void setN(int n){ - this.n = n; - } - - public int getN(){ - return n; - } - - public void setM(int m){ - this.m = m; - } - - public int getM(){ - return m; - } - - public void setNvar(int nvar){ - this.nvar = nvar; - } - - public int getNvar(){ - return nvar; - } - - public void setNg(int ng){ - this.ng = ng; - } - - public int getNg(){ - return ng; - } - - public void setSopt(int sopt){ - this.sopt = sopt; - } - - public int getSopt(){ - return sopt; - } - - public void setPopt(int popt){ - this.popt = popt; - } - - public int getPopt(){ - return popt; - } - - public void setNiter(int niter){ - this.niter = niter; - } - - public int getNiter(){ - return niter; - } - - public void setIsx(int[] isx){ - this.isx = isx; - } - - public int[] getIsx(){ - return isx; - } - - public void setX(double[] x){ - this.x = x; - } - - public double[] getX(){ - return x; - } - - public void setProb(double[] prob){ - this.prob = prob; - } - - public double[] getProb(){ - return prob; - } - } - - /** - * No arguments supplied when example runs - */ - private static void usage() { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} - diff --git a/simple_examples/int32/G05KFJE.java b/simple_examples/int32/G05KFJE.java deleted file mode 100644 index 18ce755..0000000 --- a/simple_examples/int32/G05KFJE.java +++ /dev/null @@ -1,105 +0,0 @@ -import com.nag.routines.G05.G05KF; -import com.nag.routines.G05.G05SA; -import com.nag.routines.Routine; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * G05KFJ example program text. - * @author willa - * @since 27.0.0.0 - */ -public class G05KFJE{ - - /** - * G05KFJ example main program. - */ - public static void main(String[] args){ - //genid, subid only initilised so they can be set in try{} without java throwing error - int lseed = 1, nin = 5, nout = 6, genid = 0, n = 0, subid = 0; - int ifail, lstate; - int[] seed, state; - double x[]; - - System.out.println("G05KFJ Example Program Results"); - System.out.println(); - - //No file input given - if(args.length != 1){ - G05KFJE.usage(); - } - - seed = new int[lseed]; - - //Read in data from data fiel - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //Read in the base generator information and seed - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - genid = Integer.parseInt(sVal[0]); - subid = Integer.parseInt(sVal[1]); - seed[0] = Integer.parseInt(sVal[2]); - - //Read in sample size - line = reader.readLine(); - sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[0]); - - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - lstate = 0; - ifail = 0; - state = new int[lstate]; - - //Initial call to get size of STATE array - G05KF g05kf = new G05KF(genid, subid, seed, lseed, state, lstate, ifail); - g05kf.eval(); - - //Update local variables - lstate = g05kf.getLSTATE(); - state = g05kf.getSTATE(); - - //Reallocate STATE - state = new int[lstate]; - - //Update object variables - g05kf.setSTATE(state); - g05kf.eval(); - - //Update local variables - state = g05kf.getSTATE(); - - x = new double[n]; - - //Generate the variates - ifail = 0; - G05SA g05sa = new G05SA(n, state, x, ifail); - g05sa.eval(); - - //Display the variates - for(int i = 0; i < x.length; i++){ - System.out.printf("%.4f\n", x[i]); - } - } - - /** - * Print usage information. - */ - private static void usage(){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} diff --git a/simple_examples/int32/G13AWJE.java b/simple_examples/int32/G13AWJE.java deleted file mode 100644 index 9e829bd..0000000 --- a/simple_examples/int32/G13AWJE.java +++ /dev/null @@ -1,31 +0,0 @@ -import com.nag.routines.G01.G01EW; -import com.nag.routines.G13.G13AW; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * G13AW example program text. - */ -public class G13AWJE { - - public static void main(String[] args) { - - int n = 30, type = 1, p = 1, ifail = 1, method = 1, nsamp = 0; - double[] y = {-217.,-177.,-166.,-136.,-110.,-95.,-64.,-37.,-14.,-25.,-51., - -62.,-73.,-88.,-113.,-120.,-83.,-33.,-19.,21.,17.,44.,44.,78., - 88.,122.,126.,114.,85.,64}; - int[] state = new int[1]; - G13AW g13aw = new G13AW(type, p, n, y, ifail); - System.out.println(" G13AWJ Example Program Results\n"); - double ts = g13aw.eval(); - G01EW g01ew = new G01EW(method,type,n,ts,nsamp,state,ifail); - double pvalue = g01ew.eval(); - ifail = g01ew.getIFAIL(); - if (ifail == 0 || ifail == 201) { - System.out.printf("Dickey-Fuller test statistic = %6.3f\n", ts); - System.out.printf("associated p-value = %6.3f\n", pvalue); - } - - } - -} diff --git a/simple_examples/int32/G13MEJE.java b/simple_examples/int32/G13MEJE.java deleted file mode 100644 index a768a46..0000000 --- a/simple_examples/int32/G13MEJE.java +++ /dev/null @@ -1,160 +0,0 @@ -import com.nag.routines.G13.G13ME; - -/** - * G13MEJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class G13MEJE{ - - /** - * G13MEJ main program - */ - public static void main(String[] args){ - double tau; - int ifail, lrcomm, m, nb, pn; - double[] iema, rcomm, sinit, t; - int[] inter, nbVal; - - inter = new int[2]; - - System.out.println("G13MEJ Example Program Results"); - System.out.println(); - - //data (can read in from data file) - //Number of iteration required - m = 2; - - //Decay parameter and interpolation method - tau = 2; - inter[0] = 3; - inter[1] = 2; - - //Initial values - sinit = new double[m + 2]; - sinit[0] = 5; - sinit[1] = 0.5; - sinit[2] = 0.5; - sinit[3] = 0.5; - - //Array of NB values in order - nbVal = new int[3]; - nbVal[0] = 5; - nbVal[1] = 10; - nbVal[2] = 15; - - //First block - double[] t1 = new double[nbVal[0]]; - double[] iema1 = new double[nbVal[0]]; - t1[0] = 7.5; - t1[1] = 8.2; - t1[2] = 18.1; - t1[3] = 22.8; - t1[4] = 25.8; - iema1[0] = 0.6; - iema1[1] = 0.6; - iema1[2] = 0.8; - iema1[3] = 0.1; - iema1[4] = 0.2; - - //Second block - double[] t2 = new double[nbVal[1]]; - double[] iema2 = new double[nbVal[1]]; - t2[0] = 26.8; - t2[1] = 31.1; - t2[2] = 38.4; - t2[3] = 45.9; - t2[4] = 48.2; - t2[5] = 48.9; - t2[6] = 57.9; - t2[7] = 58.5; - t2[8] = 63.9; - t2[9] = 65.2; - iema2[0] = 0.2; - iema2[1] = 0.5; - iema2[2] = 0.7; - iema2[3] = 0.1; - iema2[4] = 0.4; - iema2[5] = 0.7; - iema2[6] = 0.8; - iema2[7] = 0.3; - iema2[8] = 0.2; - iema2[9] = 0.5; - - //Third block - double[] t3 = new double[nbVal[2]]; - double[] iema3 = new double[nbVal[2]]; - t3[0] = 66.6; - t3[1] = 67.4; - t3[2] = 69.3; - t3[3] = 69.9; - t3[4] = 73.0; - t3[5] = 75.6; - t3[6] = 77.0; - t3[7] = 84.7; - t3[8] = 86.8; - t3[9] = 88.0; - t3[10] = 88.5; - t3[11] = 91.0; - t3[12] = 93.0; - t3[13] = 93.7; - t3[14] = 94.0; - iema3[0] = 0.2; - iema3[1] = 0.3; - iema3[2] = 0.8; - iema3[3] = 0.6; - iema3[4] = 0.1; - iema3[5] = 0.7; - iema3[6] = 0.9; - iema3[7] = 0.6; - iema3[8] = 0.3; - iema3[9] = 0.1; - iema3[10] = 0.1; - iema3[11] = 0.4; - iema3[12] = 1.0; - iema3[13] = 1.0; - iema3[14] = 0.1; - - //Print some titles - System.out.printf("\t\t\tIterated\n"); - System.out.println("\t\tTime\t EMA\n"); - System.out.println("--------------------------------"); - - lrcomm = 20 + m; - rcomm = new double[lrcomm]; - - pn = 0; - - //Loop through 3 blocks - for(int i = 0; i < nbVal.length; i++){ - //nb for given block - nb = nbVal[i]; - - //Use data for current block - if(i == 0){ - t = t1; - iema = iema1; - } - else if(i == 1){ - t = t2; - iema = iema2; - } - else{ - t = t3; - iema = iema3; - } - - ifail = 0; - G13ME g13me = new G13ME(nb, iema, t, tau, m, sinit, inter, pn, rcomm, lrcomm, ifail); - g13me.eval(); - pn = g13me.getPN(); - - //Display results for this block of data - for(int j = 0; j < nb; j++){ - System.out.printf("\t%d\t%.1f\t%.3f\n", pn - nb + (j + 1), t[j], iema[j]); - } - System.out.println(); - } - } -} - diff --git a/simple_examples/int32/G13NAJE.java b/simple_examples/int32/G13NAJE.java deleted file mode 100644 index 2032eb1..0000000 --- a/simple_examples/int32/G13NAJE.java +++ /dev/null @@ -1,123 +0,0 @@ -import com.nag.routines.G13.G13NA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * G13NAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class G13NAJE{ - - /** - * G13NAJ example main program - */ - public static void main(String[] args){ - double beta = 0; - int ctype = 0, ifail, iparam = 0, minss = 0, n = 0, ntau = 0; //placeholder - double[] param, sparam, y; - int[] tau; - - param = new double[1]; - //Placeholder y to be read in from data file - y = new double[0]; - - System.out.println("G13NAJ Example Program Results"); - System.out.println(); - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //Read in the problem size - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[0]); - - //Allocate enough size to hold the input series - y = new double[n]; - - //Read in the input series - for(int i = 0; i < 10; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int j = 0; j < 10; j++){ - y[(i * 10) + j] = Double.parseDouble(sVal[j]); - } - } - - //Read in the type of change point, penalty and minimum segment size - line = reader.readLine(); - sVal = line.split("\\s+"); - ctype = Integer.parseInt(sVal[0]); - iparam = Integer.parseInt(sVal[1]); - beta = Double.parseDouble(sVal[2]); - minss = Integer.parseInt(sVal[3]); - - //Read in the distribution parameter (if required) - if(iparam == 1){ - line = reader.readLine(); - sVal = line.split("\\s+"); - param[0] = Double.parseDouble(sVal[0]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - System.exit(-2); - } - - //Output arrays - tau = new int[n]; - sparam = new double[(2 * n) + 2]; - - ifail = -1; - - //Call routine to detece change points - G13NA g13na = new G13NA(ctype, n, y, beta, minss, iparam, param, ntau, tau, sparam, ifail); - g13na.eval(); - - //update - ifail = g13na.getIFAIL(); - ctype = g13na.getCTYPE(); - ntau = g13na.getNTAU(); - - if(ifail == 0 || ifail == 200 || ifail == 201){ - //Display the results - if(ctype == 5 || ctype == 6){ - //Exponential or Poisson distribtion - System.out.printf(" -- Charge Points -- Distribution\n"); - System.out.printf(" Number Position Parameter \n"); - System.out.println("====================================="); - for(int i = 0; i < ntau; i++){ - System.out.printf(" %d\t %d\t%.2f", i + 1, tau[i], sparam[i]); - } - - } - else{ - //Normal of Gamma distribution - System.out.printf(" -- Charge Points -- --- Distribution ---\n"); - System.out.printf(" Number Position Parameters\n"); - System.out.println("================================================="); - for(int i = 0; i < ntau; i++){ - System.out.printf(" %d\t %d\t %.2f\t %.2f\n", (i + 1), tau[i], sparam[2 * i], sparam[(2 * i) + 1]); - } - } - } - if(ifail == 200 || ifail == 201){ - System.out.println("Some truncation occured internally to avoid overflow"); - } - } -} diff --git a/simple_examples/int32/H02BBJE.java b/simple_examples/int32/H02BBJE.java deleted file mode 100644 index 04f4207..0000000 --- a/simple_examples/int32/H02BBJE.java +++ /dev/null @@ -1,92 +0,0 @@ -import com.nag.routines.H.H02BB; - -/** - * H02BBJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class H02BBJE{ - - /** - * H02BBJ example main program - */ - public static void main(String[] args){ - double bigbnd, objmip = 0, tolfes, toliv; - int ifail, intfst, itmax, lda, liwork, lrwork, m, maxdpt, maxnod, msglvl, n; - double[] a, bl, bu, cvec, rwork, x; - int[] intvar, iwork; - - System.out.println("H02BBJ Example Program Results"); - System.out.println(); - - //Data (can be read in from data file) - n = 2; - m = 3; - lda = m; - - a = new double[lda * n]; - bl = new double[m + n]; - bu = new double[m + n]; - cvec = new double[n]; - x = new double[n]; - intvar = new int[n]; - - itmax = 0; - msglvl = 10; - maxnod = 0; - intfst = 0; - maxdpt = 4; - tolfes = 0; - toliv = 0; - - cvec[0] = -3; - cvec[1] = -4; - - //A = ( 2, 5) - // ( 2, -2) - // ( 3, 2) - a[0] = 2; - a[1] = 2; - a[2] = 3; - a[3] = 5; - a[4] = -2; - a[5] = 2; - - bigbnd = 1E+20; - - bl[0] = 0; - bl[1] = 0; - bl[2] = -1E+20; - bl[3] = -1E+20; - bl[4] = 5; - - bu[0] = 1E+20; - bu[1] = 1E+20; - bu[2] = 15; - bu[3] = 5; - bu[4] = 1E+20; - - intvar[0] = 1; - intvar[1] = 1; - - x[0] = 1; - x[1] = 1; - - liwork = ((25 + n + m) * maxdpt) + (5 * n) + m + 4; - //Math.pow() needs to be casted to int in java - lrwork = (maxdpt * (n + 1)) + (2 * (int)Math.pow(Math.min(n, m + 1), 2)) + (14 * n) + (12 * m); - iwork = new int[liwork]; - rwork = new double[lrwork]; - - ifail = 0; - - H02BB h02bb = new H02BB(itmax, msglvl, n, m, a, lda, bl, bu, intvar, cvec, maxnod, intfst, maxdpt, toliv, - tolfes, bigbnd, x, objmip, iwork, liwork, rwork, lrwork, ifail); - h02bb.eval(); - } -} - - - - - diff --git a/simple_examples/int32/H02DAJE.java b/simple_examples/int32/H02DAJE.java deleted file mode 100644 index 6e90401..0000000 --- a/simple_examples/int32/H02DAJE.java +++ /dev/null @@ -1,228 +0,0 @@ -import com.nag.routines.H.H02DA; -import com.nag.routines.H.H02ZK; -import com.nag.routines.H.H02ZL; -import com.nag.routines.X04.X04CA; -import java.util.Arrays; - -/** - * H02DAJ exmaple program text - * @author willa - * @since 27.1.0.0 - */ -public class H02DAJE{ - - /** - * H02DAJ example main program - */ - public static void main(String[] args){ - double acc, accqp = 0, objmip = 0; - int ifail, ivalue = 0, lda, liopts, lopts, maxit, n, nclin, ncnln, optype = 0; - String cvalue; - double[] a, ax, bl, bu, c, cjac, d, objgrd, x, opts, ruser; - int[] iopts, iuser, varcon; - - System.out.println("H02DAJ Example Program Results"); - System.out.println(); - - opts = new double[100]; - ruser = new double[1]; - iopts = new int[200]; - iuser = new int[1]; - - //Blank 40 character string to represent ```Character (40) :: cvalue``` - char[] ch = new char[40]; - Arrays.fill(ch, ' '); - cvalue = new String(ch); - - n = 8; - nclin = 5; - ncnln = 2; - lda = nclin; - - a = new double[lda * n]; - d = new double[nclin]; - ax = new double[nclin]; - bl = new double[n]; - bu = new double[n]; - varcon = new int[n + nclin + ncnln]; - x = new double[n]; - c = new double[ncnln]; - cjac = new double[ncnln * n]; - objgrd = new double[n]; - - //Set variable types: continuous then binary - varcon[0] = 0; - varcon[1] = 0; - varcon[2] = 0; - varcon[3] = 0; - varcon[4] = 1; - varcon[5] = 1; - varcon[6] = 1; - varcon[7] = 1; - - //Set continuous variable bounds - bl[0] = 0; - bl[1] = 0; - bl[2] = 0; - bl[3] = 0; - bu[0] = 1000; - bu[1] = 1000; - bu[2] = 1000; - bu[3] = 1000; - - //Bounds for binary variables need not be provided - bl[4] = 0; - bl[5] = 0; - bl[6] = 0; - bl[7] = 0; - bu[4] = 1; - bu[5] = 1; - bu[6] = 1; - bu[7] = 1; - - //Set linear constraint, equality first - varcon[n] = 3; - varcon[n + 1] = 4; - varcon[n + 2] = 4; - varcon[n + 3] = 4; - varcon[n + 4] = 4; - - //Set Ax=d then Ax>=d - //( 1, 1, 1, 1, 0, 0, 0, 0) - //(-1, 0, 0, 0, 1, 0, 0, 0) - //( 0,-1, 0, 0, 0, 1, 0, 0) - //( 0, 0,-1, 0, 0, 0, 1, 0) - //( 0, 0, 0,-1, 0, 0, 0, 1) - a[0] = 1; - a[1] = -1; - a[5] = 1; - a[7] = -1; - a[10] = 1; - a[13] = -1; - a[15] = 1; - a[19] = -1; - a[21] = 1; - a[27] = 1; - a[33] = 1; - a[39] = 1; - d[0] = 1; - d[1] = 0; - d[2] = 0; - d[3] = 0; - d[4] = 0; - - //Set constraints supplied by CONFUN, equality first - varcon[n + nclin] = 3; - varcon[n + nclin + 1] = 4; - - liopts = iopts.length; - lopts = opts.length; - - //Initialize communication arrays - ifail = 0; - H02ZK h02zk = new H02ZK("Initialize = H02DAF", iopts, liopts, opts, lopts, ifail); - h02zk.eval(); - - - //Optimization parameters - maxit = 500; - acc = 0.000001; - - //Initial estimate (binary variables need not be given) - x[0] = 1; - x[1] = 1; - x[2] = 1; - x[3] = 1; - x[4] = 0; - x[5] = 0; - x[6] = 0; - x[7] = 0; - - //Portfolio parameters p and rho - iuser[0] = 3; - ruser[0] = 10; - - ifail = 0; - //Create objfun1, confun1 to pass to H02DA representing repsecitve subroutines - objfun objfun1 = new objfun(); - confun confun1 = new confun(); - H02DA h02da = new H02DA(n, nclin, ncnln, a, lda, d, ax, bl, bu, varcon, x, confun1, c, cjac, objfun1, - objgrd, maxit, acc, objmip, iopts, opts, iuser, ruser, ifail); - h02da.eval(); - - //Results - ifail = h02da.getIFAIL(); - if(ifail == 0){ - X04CA x04ca = new X04CA("G", "N", n, 1, x, n, "Final Esimate:", ifail); - x04ca.eval(); - - //Query the accuracy of the mixed integer QP Solver - ifail = -1; - H02ZL h02zl = new H02ZL("QP Accuracy", ivalue, accqp, cvalue, optype, iopts, opts, ifail); - h02zl.eval(); - - //Update values to print - accqp = h02zl.getRVALUE(); - objmip = h02da.getOBJMIP(); - ifail = h02zl.getIFAIL(); - if(ifail == 0){ - System.out.printf("Requested accuracy of QP subproblems\t%.4e\n", accqp); - } - System.out.printf("Optimised value:\t%.3f\n", objmip); - } - else{ - System.out.printf("h02daf returns ifail = %d\n", ifail); - } - } - - /** - * objfun class extending Abstract_H02DA_OBJFUN to represent objfun subroutine for passing to H02DA - */ - public static class objfun extends H02DA.Abstract_H02DA_OBJFUN{ - public void eval(){ - if(this.MODE == 0){ - //Objective value - this.OBJMIP = (this.X[0] * ((4 * this.X[0]) + (3 * this.X[1]) - this.X[2])) - + (this.X[1] * ((3 * this.X[0]) + (6 * this.X[1]) + this.X[2])) - + (this.X[2] * (this.X[1] - this.X[0] + (10 * this.X[2]))); - } - else{ - //Objective gradients for continous varaiables - this.OBJGRD[0] = (8 * this.X[0]) + (6 * this.X[1]) - (2 * this.X[2]); - this.OBJGRD[1] = (6 * this.X[0]) + (12 * this.X[1]) + (2 * this.X[2]); - this.OBJGRD[2] = (2 * (this.X[1] - this.X[0])) + (20 * this.X[2]); - this.OBJGRD[3] = 0; - } - } - } - - /** - * confun class extending Abstract_H02DA_CONFUN to represent confun subroutine for passing to H02DA - */ - public static class confun extends H02DA.Abstract_H02DA_CONFUN{ - public void eval(){ - if(this.MODE == 0){ - //Constraints - int p = this.IUSER[0]; - double rho = this.RUSER[0]; - - //Mean return rho: - this.C[0] = (8 * this.X[0]) + (9 * this.X[1]) + (12 * this.X[2]) + (7 * this.X[3]) - rho; - //Maximum of p assets in portfolio - this.C[1] = p - this.X[4] - this.X[5] - this.X[6] - this.X[7]; - } - else{ - //Jacobian - this.CJAC[0] = 8; - this.CJAC[2] = 9; - this.CJAC[4] = 12; - this.CJAC[6] = 7; - //c[2] does not include continuours varaibles which requries that their derivatives are zero - this.CJAC[1] = 0; - this.CJAC[3] = 0; - this.CJAC[5] = 0; - this.CJAC[7] = 0; - } - } - } -} diff --git a/simple_examples/int32/M01CCJE.java b/simple_examples/int32/M01CCJE.java deleted file mode 100644 index fda5e2f..0000000 --- a/simple_examples/int32/M01CCJE.java +++ /dev/null @@ -1,42 +0,0 @@ -import com.nag.routines.M01.M01CC; -import java.io.*; - -/** - * M01CC example program text. - */ -public class M01CCJE { - - public static void main(String[] args) throws Exception { - - String[] ch; - String order = "Reverse ASCII"; - int m1,m2,l1,l2; - int ifail = 0; - - BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); - - dataIn.readLine(); - m2 = Integer.parseInt(dataIn.readLine().trim().split(":+")[0].trim()); - ch = new String[m2]; - m1 = 1; - for (int i = m1-1; i < m2; ++i) { - ch[i] = dataIn.readLine(); - } - dataIn.close(); - l1 = 7; - l2 = 12; - - System.out.println(" M01CCJ Example Program Results"); - M01CC m01cc = new M01CC(ch, m1, m2, l1, l2, order, ifail); - m01cc.eval(); - ifail = m01cc.getIFAIL(); - System.out.println(); - System.out.printf(" Records sorted on columns %2d to %2d\n",l1,l2); - System.out.println(); - for (int i = m1-1; i < m2; ++i) { - System.out.println(" "+ch[i]); - } - - } - -} diff --git a/simple_examples/int32/S01BAJE.java b/simple_examples/int32/S01BAJE.java deleted file mode 100644 index 4bf2823..0000000 --- a/simple_examples/int32/S01BAJE.java +++ /dev/null @@ -1,39 +0,0 @@ -import com.nag.routines.S.S01BA; - -/** - * S01BAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S01BAJE{ - - /** - * S01BAJE main program - */ - public static void main(String[] args){ - double y; - int ifail; - double[] xVal; //data - - //store data - xVal = new double[6]; - xVal[0] = 2.5; - xVal[1] = 0.125; - xVal[2] = -0.906; - xVal[3] = 0.00129; - xVal[4] = -0.00000783; - xVal[5] = 0.000000001; - - System.out.println("S01BAJ Example Program Results"); - System.out.println(); - System.out.printf("\tX\t\tY\n"); - - for(double x : xVal){ - ifail = -1; - S01BA s01ba = new S01BA(x, ifail); - y = s01ba.eval(); - - System.out.printf("\t%.4e\t%.4e\n", x, y); - } - } -} diff --git a/simple_examples/int32/S10AAJE.java b/simple_examples/int32/S10AAJE.java deleted file mode 100644 index 2a0878a..0000000 --- a/simple_examples/int32/S10AAJE.java +++ /dev/null @@ -1,40 +0,0 @@ -import com.nag.routines.S.S10AA; - -/** - * S10AAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S10AAJE{ - - /** - * S10AAJ example main program - */ - public static void main(String[] args){ - double y; - double[] xVal; - int ifail; - - //x values (can be read in from data file) - xVal = new double[4]; - xVal[0] = -20; - xVal[1] = -5.0; - xVal[2] = 0.5; - xVal[3] = 5.0; - - System.out.println("S10AAJ Example Program Results"); - - System.out.println(); - System.out.printf("\tX\t\tY"); - System.out.println(); - - for(double x : xVal){ - ifail = -1; - S10AA s10aa = new S10AA(x, ifail); - y = s10aa.eval(); - ifail = s10aa.getIFAIL(); - - System.out.printf("\t%.3e\t%.3e\n", x, y); - } - } -} diff --git a/simple_examples/int32/S10ABJE.java b/simple_examples/int32/S10ABJE.java deleted file mode 100644 index dd84ab7..0000000 --- a/simple_examples/int32/S10ABJE.java +++ /dev/null @@ -1,41 +0,0 @@ -import com.nag.routines.S.S10AB; - -/** - * S10ABJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S10ABJE{ - - /** - * S10ABJ example main program - */ - public static void main(String[] args){ - double y; - double[] xVal; - int ifail; - - //x values (can be read in from data file) - xVal = new double[5]; - xVal[0] = -10; - xVal[1] = -0.5; - xVal[2] = 0; - xVal[3] = 0.5; - xVal[4] = 25.0; - - System.out.println("S10ABJ Example Program Results"); - - System.out.println(); - System.out.printf("\tX\t\tY"); - System.out.println(); - - for(double x : xVal){ - ifail = -1; - S10AB s10ab = new S10AB(x, ifail); - y = s10ab.eval(); - ifail = s10ab.getIFAIL(); - - System.out.printf("\t%.3e\t%.3e\n", x, y); - } - } -} diff --git a/simple_examples/int32/S10ACJE.java b/simple_examples/int32/S10ACJE.java deleted file mode 100644 index cc0c04c..0000000 --- a/simple_examples/int32/S10ACJE.java +++ /dev/null @@ -1,41 +0,0 @@ -import com.nag.routines.S.S10AC; - -/** - * S10ACJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S10ACJE{ - - /** - * S10ACJ example main program - */ - public static void main(String[] args){ - double y; - double[] xVal; - int ifail; - - //x values (can be read in from data file) - xVal = new double[5]; - xVal[0] = -10; - xVal[1] = -0.5; - xVal[2] = 0; - xVal[3] = 0.5; - xVal[4] = 25.0; - - System.out.println("S10ACJ Example Program Results"); - - System.out.println(); - System.out.printf("\tX\t\tY"); - System.out.println(); - - for(double x : xVal){ - ifail = -1; - S10AC s10ac = new S10AC(x, ifail); - y = s10ac.eval(); - ifail = s10ac.getIFAIL(); - - System.out.printf("\t%.3e\t%.3e\n", x, y); - } - } -} diff --git a/simple_examples/int32/S14ABJE.java b/simple_examples/int32/S14ABJE.java deleted file mode 100644 index 673a4b3..0000000 --- a/simple_examples/int32/S14ABJE.java +++ /dev/null @@ -1,71 +0,0 @@ -import com.nag.routines.S.S14AB; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * S14ABJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S14ABJE{ - - /** - * S14ABJ example main program - */ - public static void main(String[] args){ - double x, y; - int ifail; - - System.out.println("S14ABJ Example Program Results"); - - //Supply file path as argument - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - System.out.println(); - System.out.printf("\tX\t\tY"); - System.out.println(); - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //loop until break - while(true){ - line = reader.readLine(); - - //if finished looping through file break - if(line == null){ - break; - } - String[] sVal = line.split("\\s+"); - - x = Double.parseDouble(sVal[1]); - - ifail = -1; - S14AB s14ab = new S14AB(x, ifail); - y = s14ab.eval(); - //update ifail - ifail = s14ab.getIFAIL(); - - if(ifail < 0){ - break; - } - System.out.printf("\t%.3e\t%.3e\n", x, y); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} - diff --git a/simple_examples/int32/S14ACJE.java b/simple_examples/int32/S14ACJE.java deleted file mode 100644 index e2fff05..0000000 --- a/simple_examples/int32/S14ACJE.java +++ /dev/null @@ -1,68 +0,0 @@ -import com.nag.routines.S.S14AC; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * S14ACJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S14ACJE{ - - /** - * S14ACJ example main program - */ - public static void main(String[] args){ - double f, x; - int ifail; - - System.out.println("S14ACJ Example Program Results"); - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - System.out.println(); - System.out.printf("\tX\tpsi(X)-log(X)\n"); - System.out.println(); - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //Loop until break... - while(true){ - line = reader.readLine(); - if(line == null){ - break; - } - String[] sVal = line.split("\\s+"); - - x = Double.parseDouble(sVal[0]); - - ifail = -1; - S14AC s14ac = new S14AC(x, ifail); - f = s14ac.eval(); - ifail = s14ac.getIFAIL(); - - if(ifail < 0){ - break; - } - - System.out.printf("\t%.4f\t%.4f\n", x, f); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} diff --git a/simple_examples/int32/S14AFJE.java b/simple_examples/int32/S14AFJE.java deleted file mode 100644 index 9005cc1..0000000 --- a/simple_examples/int32/S14AFJE.java +++ /dev/null @@ -1,80 +0,0 @@ -import com.nag.routines.S.S14AF; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * S14AFJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class S14AFJE{ - - /** - * S14AFJ Example main program - */ - public static void main(String[] args){ - NAGComplex y, z; - int ifail, k; - - //Tell the wrapper the type of complex being used before calling a routine - Routine.setComplex(new NAGComplex()); - - y = new NAGComplex(); - z = new NAGComplex(); - - System.out.println("S14AFJ Example Program Results"); - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); - - System.out.println(); - System.out.println("\tZ\t\tK\t(d^K/dz^K)psi(Z)"); - System.out.println(); - - //loop until break... - while(true){ - line = reader.readLine(); - - //end of file reached - if(line == null){ - break; - } - - String[] sVal = line.split("\\s+"); - z.setRe(Double.parseDouble(sVal[0])); - z.setIm(Double.parseDouble(sVal[1])); - k = Integer.parseInt(sVal[2]); - - ifail = -1; - S14AF s14af = new S14AF(z, k, ifail); - y = (NAGComplex) s14af.eval(); - ifail = s14af.getIFAIL(); - - //ifail < 0 => error - if(ifail < 0){ - break; - } - System.out.printf("\t(%.1f, %.1f)\t%d\t(%.4e, %.4e)\n", z.getRe(), z.getIm(), k, y.getRe(), y.getIm()); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} diff --git a/simple_examples/int32/S17DCJE.java b/simple_examples/int32/S17DCJE.java deleted file mode 100644 index ba01290..0000000 --- a/simple_examples/int32/S17DCJE.java +++ /dev/null @@ -1,69 +0,0 @@ -import com.nag.routines.S.S17DC; -import com.nag.types.NAGComplex; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -public class S17DCJE{ - private static int n = 2; - - public static void main(String[] args){ - double fnu; - int ifail, nz = 0; - String scal; - NAGComplex z; - NAGComplex[] cwrk, cy; - - z = new NAGComplex(); - //initiate complex arrays like this to save looping through and doing it manually by looping through - cwrk = NAGComplex.createArray(n); - cy = NAGComplex.createArray(n); - - System.out.println("S17DCF Example Program Results"); - - //Supply file path as argument - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - System.out.println(); - System.out.printf("Calling with N = %d\n", n); - System.out.println(); - System.out.printf("FNU\tZ\t\t\tSCAL\tCY[0]\t\t\tCY[1]\t\t\tNZ"); - System.out.println(); - - while(true){ - line = reader.readLine(); - if(line == null){ - break; - } - String[] sVal = line.split("\\s+"); - fnu = Double.parseDouble(sVal[0]); - z.setRe(Double.parseDouble(sVal[1])); - z.setIm(Double.parseDouble(sVal[2])); - scal = sVal[3].substring(1,2); - - ifail = 0; - S17DC s17dc = new S17DC(fnu, z, n, scal, cy, nz, cwrk, ifail); - s17dc.eval(); - - System.out.printf("%.4f\t(%.4f, %.4f)\t%s\t(%.4f, %.4f)\t(%.4f, %.4f)\t%d\n", fnu, z.getRe(), z.getIm(), scal, cy[0].getRe(), cy[0].getIm(), cy[1].getRe(), cy[1].getIm(), nz); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} - diff --git a/simple_examples/int32/S17DGJE.java b/simple_examples/int32/S17DGJE.java deleted file mode 100644 index b93c9e0..0000000 --- a/simple_examples/int32/S17DGJE.java +++ /dev/null @@ -1,61 +0,0 @@ -import com.nag.routines.S.S17DG; -import com.nag.types.NAGComplex; -import java.io.*; -import java.util.regex.Matcher; -import java.util.regex.Pattern; - -/** - * S17DG example program text. - */ -public class S17DGJE { - - public static void main(String[] args) throws Exception { - String deriv,scal; - int ifail = 1; - NAGComplex z,ai; - int nz = -1; - z = new NAGComplex(); - ai = new NAGComplex(); - ai.setRe(Double.NaN); - ai.setIm(Double.NaN); - - System.out.println(" S17DGJ Example Program Results"); - BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); - - dataIn.readLine(); - System.out.println(); - System.out.println(" DERIV Z SCAL AI NZ"); - System.out.println(); - String line = dataIn.readLine(); - Pattern linePatt = Pattern.compile("\\s*'([A-Z]{1})'\\s+\\(\\s*([0-9\\.\\-]+)\\s*," - + "\\s*([0-9\\.\\-]+)\\s*\\)\\s+'([A-Z]{1})'\\s*"); - Matcher m; - S17DG s17dg = new S17DG(); - while (line != null) { - m = linePatt.matcher(line); - if (m.matches()) { - deriv = m.group(1); - z.setRe(Double.parseDouble(m.group(2))); - z.setIm(Double.parseDouble(m.group(3))); - scal = m.group(4); - ifail = 1;// SOFT AND SILENT FAILURE - s17dg.eval(deriv,z,scal,ai,nz,ifail); - if (s17dg.getIFAIL() == 0) { - System.out.printf(" %s (%8.4f,%8.4f) %s (%8.4f,%8.4f) %4d\n", - s17dg.getDERIV(), s17dg.getZ().getRe(), s17dg.getZ().getIm(), s17dg.getSCAL(), - s17dg.getAI().getRe(), s17dg.getAI().getIm(), s17dg.getNZ()); - } - else { - System.err.println("Something went wrong - S17DG returned IFAIL = "+s17dg.getIFAIL()); - System.exit(-1); - } - } - else { - System.out.println("Can't match:\n"+line); - } - line = dataIn.readLine(); - } - - } - -} diff --git a/simple_examples/int32/S30AAJE.java b/simple_examples/int32/S30AAJE.java deleted file mode 100644 index 7e01ffe..0000000 --- a/simple_examples/int32/S30AAJE.java +++ /dev/null @@ -1,109 +0,0 @@ -import com.nag.routines.S.S30AA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * S30AAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S30AAJE{ - - /** - * S30AAJ main program - */ - public static void main(String[] args){ - double q = 0, r = 0, s = 0, sigma = 0; - int ifail, ldp, m = 0, n = 0; - String calput = ""; //placeholders - double[] p, t, x; - - //placeholders - t = new double[0]; - x = new double[0]; - - System.out.println("S30AAJ Example Program Results"); - - //Supply file path as arugment - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - calput = sVal[0].substring(1,2); - - line = reader.readLine(); - sVal = line.split("\\s+"); - s = Double.parseDouble(sVal[0]); - sigma = Double.parseDouble(sVal[1]); - r = Double.parseDouble(sVal[2]); - q = Double.parseDouble(sVal[3]); - - line = reader.readLine(); - sVal = line.split("\\s+"); - m = Integer.parseInt(sVal[0]); - n = Integer.parseInt(sVal[1]); - - t = new double[n]; - x = new double[m]; - - for(int i = 0; i < m; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - x[i] = Double.parseDouble(sVal[0]); - } - for(int i = 0; i < n; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - t[i] = Double.parseDouble(sVal[0]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ldp = m; - p = new double[ldp * n]; - - ifail = 0; - S30AA s30aa = new S30AA(calput, m, n, x, s, t, sigma, r, q, p, ldp, ifail); - s30aa.eval(); - - System.out.println(); - System.out.println("Black-Scholes-Merton formula"); - - if(calput.toLowerCase().equals("c")){ - System.out.println("European Call : "); - } - else if(calput.toLowerCase().equals("p")){ - System.out.println("European Put : "); - } - - System.out.printf(" Spot =\t%.4f\n", s); - System.out.printf(" Volatility =\t%.4f\n", sigma); - System.out.printf(" Rate =\t%.4f\n", r); - System.out.printf(" Dividend =\t%.4f\n", q); - - System.out.println(); - System.out.printf(" Strike\tExpiry\tOption Price\n"); - for(int i = 0; i < m; i++){ - for(int j = 0; j < n; j++){ - System.out.printf(" %.4f\t%.4f\t%.4f\n", x[i], t[j], p[i + (j * 3)]); - } - } - } -} - diff --git a/simple_examples/int32/S30ACJE.java b/simple_examples/int32/S30ACJE.java deleted file mode 100644 index 8d994dc..0000000 --- a/simple_examples/int32/S30ACJE.java +++ /dev/null @@ -1,129 +0,0 @@ -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.util.Arrays; - -import com.nag.routines.S.S30AC; - -/** - * S30AC example program text. - */ -public class S30ACJE { - - public static void main(String[] args) { - - int i, ifail, mode = 0, n = 0; - String calput; - - double[] k = null, p = null, r = null, s0 = null, sigma = null, t = null; - int[] ivalid = null; - - // Strings must be length expected by Fortran - calput = getBlankString(1); - - /* Header */ - System.out.println(" S30ACJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); // skip header - - System.out.println(); - System.out.println(" SIGMA IVALID"); - System.out.println(); - - line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - calput = sVal[0].replaceAll("\'", ""); - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - mode = Integer.parseInt(sVal[1]); - - line = reader.readLine(); // skip empty line - - p = new double[n]; - k = new double[n]; - s0 = new double[n]; - t = new double[n]; - r = new double[n]; - sigma = new double[n]; - ivalid = new int[n]; - - // Read p, k, s0, t and r from data file - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - p[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - k[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - s0[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - t[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - r[i] = Double.parseDouble(sVal[i]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Find the implied volatilities, sigma - ifail = 0; - S30AC s30ac = new S30AC(); - s30ac.eval(calput, n, p, k, s0, t, r, sigma, mode, ivalid, ifail); - - // Print solution - for (i = 0; i < n; i++) { - System.out.printf(" %12.3E%5d\n", sigma[i], ivalid[i]); - } - - } - - /** - * Returns a new String, filled with spaces to the specified length. - * - * @param len the required length of the String - * @return a blank String of the specified length - */ - public static String getBlankString(int len) { - - if (len > 0) { - char[] arr = new char[len]; - Arrays.fill(arr, ' '); - return new String(arr); - } - - return ""; - - } -} diff --git a/simple_examples/int32/X03AAJE.java b/simple_examples/int32/X03AAJE.java deleted file mode 100644 index b03f1ab..0000000 --- a/simple_examples/int32/X03AAJE.java +++ /dev/null @@ -1,87 +0,0 @@ -import com.nag.routines.X03.X03AA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * X03AAJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class X03AAJE{ - - /** - * X03AAJ example main program. - */ - public static void main(String[] args){ - int n = 3; - double c1 = 0, c2 = 0, d1 = 0, d2 = 0; //placeholder - int ifail, isizea, isizeb, istepa, istepb; - boolean sw; - double[] a, b; - - a = new double[n * n]; - b = new double[n]; - - System.out.println("X03AAF Example Program Results"); - System.out.println(); - - if(args.length != 1){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //stored column wise - //a = (-2, -3, 7) - // ( 2, -5, 3) - // (-9, 1, 0) - for(int i = 0; i < n; i++){ - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - for(int j = 0; j < n; j++){ - a[i + (j * n)] = Double.parseDouble(sVal[j + 1]); - } - } - - line = reader.readLine(); - for(int i = 0; i < n; i++){ - String[] sVal = line.split("\\s+"); - b[i] = Double.parseDouble(sVal[i + 1]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - - c1 = 1; - c2 = 0; - isizea = n; - isizeb = n; - istepa = 1; - istepb = 1; - sw = true; - - ifail = 0; - X03AA x03aa = new X03AA(a , isizea, b, isizeb, n, istepa, istepb, c1, c2, d1, d2, sw, ifail); - x03aa.eval(); - - //update - c1 = x03aa.getC1(); - c2 = x03aa.getC2(); - d1 = x03aa.getD1(); - d2 = x03aa.getD2(); - - System.out.printf("D1 = %.1f D2 = %.1f\n", d1, d2); - } -} diff --git a/simple_examples/int32/X04CBJE.java b/simple_examples/int32/X04CBJE.java deleted file mode 100644 index fa77c3a..0000000 --- a/simple_examples/int32/X04CBJE.java +++ /dev/null @@ -1,53 +0,0 @@ -import com.nag.routines.X04.X04CB; - -/** - * X04CBJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class X04CBJE{ - - /** - * X04CBJ example main program - */ - public static void main(String[] args){ - int nmax = 5, lda = nmax, ifail, indent, ncols; - double[] a; - - a = new double[lda * nmax]; - - String[] clabs = {"Un ", "Deux ", "Trois ", "Quatre ", "Cinq "}; - String[] rlabs = {"Uno ", "Due ", "Tre ", "Quattro", "Cinque "}; - - System.out.println("X04CBJ Example Program Results"); - System.out.println(); - - //generate an array of data - for(int i = 0; i < nmax; i++){ - for(int j = 0; j < lda; j++){ - a[(i * lda) + j] = (double) ((10 * (j + 1)) + i + 1); - } - } - - ncols = 80; - indent = 0; - - //Print 3 by nmax rectangular matrix with default format and integer row and column labels - ifail = 0; - X04CB x04cb = new X04CB("General", " ", 3, nmax, a, lda, " ", "Example 1", "Integer", rlabs, "Integer", - clabs, ncols, indent, ifail); - x04cb.eval(); - System.out.println(); - - //Print nmax by namx upper triangular matrix with user-supplied format and row and column labels - ifail = 0; - x04cb.eval("Upper", "Non-unit", nmax, nmax, a, lda, "F8.2", "Example 2:", "Character", rlabs, "Character", - clabs, ncols, indent, ifail); - System.out.println(); - - //Print 3 by nmax lower triangular matrix in MATLAB format - //Row and column labelling is ignored - ifail = 0; - x04cb.eval("Lower", "Non-unit", 3, nmax, a, lda, "MATLABF8.2", "A", " ", rlabs, " ", clabs, ncols, indent, ifail); - } -} diff --git a/simple_examples/int32/X05ABJE.java b/simple_examples/int32/X05ABJE.java deleted file mode 100644 index acb3804..0000000 --- a/simple_examples/int32/X05ABJE.java +++ /dev/null @@ -1,25 +0,0 @@ -import com.nag.routines.X05.X05AB; - -/** - * X05AB example program text. - */ -public class X05ABJE { - - public static void main(String[] args) { - - int[] itime = new int[7]; - - itime[0] = 1789; - itime[1] = 7; - itime[2] = 14; - itime[3] = 13; - itime[4] = 11; - itime[5] = 48; - itime[6] = 320; - - System.out.println(" X05ABJ Example Program Results"); - System.out.println((new X05AB(itime)).eval()); - - } - -} From 12a9aae933e202af5c9acd2d4290b5e4b7739679 Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 15 Jan 2021 13:23:50 +0000 Subject: [PATCH 114/196] Simple Examples Synced --- simple_examples/D02NEJE.java | 776 +++++++++++++++++------------------ simple_examples/D02TLJE.java | 580 +++++++++++++------------- simple_examples/D03RAJE.java | 614 +++++++++++++-------------- simple_examples/D03RBJE.java | 776 +++++++++++++++++------------------ simple_examples/F01ELJE.java | 178 ++++---- simple_examples/F02EKJE.java | 454 ++++++++++---------- simple_examples/F02FKJE.java | 460 ++++++++++----------- simple_examples/F02WGJE.java | 264 ++++++------ 8 files changed, 2051 insertions(+), 2051 deletions(-) diff --git a/simple_examples/D02NEJE.java b/simple_examples/D02NEJE.java index 3d90bb8..34a5b25 100644 --- a/simple_examples/D02NEJE.java +++ b/simple_examples/D02NEJE.java @@ -1,388 +1,388 @@ -import com.nag.routines.D02.D02MC; -import com.nag.routines.D02.D02MW; -import com.nag.routines.D02.D02NE; -import com.nag.routines.D02.D02NEZ; -import com.nag.routines.D02.D02NP; -import java.util.Arrays; - -/** - * D02NE example program text. - * @author joed - */ -public class D02NEJE { - - public static final double ALPHA = 0.04; - public static final double BETA = 1.0E4; - public static final double GAMMA = 3.0E7; - public static final int ML = 1; - public static final int MU = 2; - public static final int NEQ1 = 3; - public static final int NEQ2 = 1; - - public static JAC1 jac1 = new JAC1(); - public static JAC2 jac2 = new JAC2(); - public static RES1 res1 = new RES1(); - public static RES2 res2 = new RES2(); - - public static void main(String[] args) { - - System.out.println(" D02NEJ Example Program Results"); - - ex1(); - ex2(); - - } - - private static void ex1() { - - D02MC d02mc = new D02MC(); - D02MW d02mw = new D02MW(); - D02NE d02ne = new D02NE(); - D02NP d02np = new D02NP(); - double h0, hmax, t, tout; - int ifail, ijac, itask, itol, lcom, licom, maxord, neq; - String jceval; // length 8 - double[] atol, com, rtol, y, ydot, ruser; - int[] icom, iuser; - - ruser = new double[1]; - iuser = new int[3]; - - System.out.println(); - System.out.println(" D02NEF Example 1"); - System.out.println(); - - maxord = 5; - - neq = NEQ1; - lcom = 40 + (maxord + 4) * neq + (2 * ML + MU + 1) * neq - + 2 * (neq / (ML + MU + 1) + 1); - licom = 50 + neq; - - atol = new double[neq]; - com = new double[lcom]; - rtol = new double[neq]; - y = new double[neq]; - ydot = new double[neq]; - icom = new int[licom]; - - ijac = 1; - itol = 1; - Arrays.fill(rtol, 1.0E-3); - Arrays.fill(atol, 1.0E-6); - Arrays.fill(ydot, 0.0); - - // String length = 8 - jceval = (ijac == 1) ? "Analytic" : "Numeric "; - - // Set initial values - y[0] = 1.0; - y[1] = 0.0; - y[2] = 0.0; - - // Initialize the problem, specifying that the Jacobian is to be - // evaluated analytically using the provided routine jac. - hmax = 0.0; - h0 = 0.0; - t = 0.0; - tout = 0.02; - ifail = 0; - d02mw.eval( - neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail - ); - ifail = d02mw.getIFAIL(); - - // Specify that the Jacobian is banded. - ifail = 0; - d02np.eval(neq, ML, MU, icom, licom, ifail); - ifail = d02np.getIFAIL(); - - // Use the iuser array to pass the band dimensions through to jac. - // An alternative would be to hard code values for ml and mu in jac. - iuser[0] = ML; - iuser[1] = MU; - iuser[2] = ijac; - - System.out.printf(" t "); - for (int i = 1; i <= neq; i++) { - System.out.printf(" Y(%1d) ", i); - } - System.out.println(); - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - itask = 0; - - // Obtain the solution at 5 equally spaced values of T. - for (int j = 0; j < 5; j++) { - ifail = -1; - d02ne.eval( - neq, t, tout, y, ydot, rtol, atol, itask, res1, jac1, icom, - com, lcom, iuser, ruser, ifail - ); - itask = d02ne.getITASK(); - ifail = d02ne.getIFAIL(); - t = d02ne.getT(); - - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - if (ifail != 0) { - System.out.printf( - " ** D02NEF returned with IFAIL = %5d\n", ifail - ); - break; - } - - tout += 0.02; - d02mc.eval(icom); - - } - - System.out.println(); - System.out.printf( - " The integrator completed task, ITASK = %4d\n", itask - ); - - } - - private static void ex2() { - D02MC d02mc = new D02MC(); - D02MW d02mw = new D02MW(); - D02NE d02ne = new D02NE(); - double h0, hmax, t, tout; - int ifail, ijac, itask, itol, lcom, licom, maxord, neq; - String jceval; // length 8 - double[] atol, com, rtol, y, ydot, ruser; - int[] icom, iuser; - - ruser = new double[1]; - iuser = new int[1]; - - System.out.println(); - System.out.println(" D02NEF Example 2"); - System.out.println(); - - maxord = 5; - neq = NEQ2; - lcom = 40 + (maxord + 4) * neq + neq * neq; - licom = 50 + neq; - - atol = new double[neq]; - com = new double[lcom]; - rtol = new double[neq]; - y = new double[neq]; - ydot = new double[neq]; - icom = new int[licom]; - - ijac = 1; - itol = 1; - rtol[0] = 0.0; - atol[0] = 1.0E-8; - ydot[0] = 0.0; - - // String length = 8 - jceval = (ijac == 1) ? "Analytic" : "Numeric "; - - // Initialize the problem, specifying that the Jacobian is to be - // evaluated analytically using the provided routine jac. - y[0] = 2.0; - hmax = 0.0; - h0 = 0.0; - t = 0.0; - tout = 0.2; - - ifail = 0; - d02mw.eval( - neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail - ); - ifail = d02mw.getIFAIL(); - - // Use the iuser array to pass whether numerical or analytic Jacobian - // is to be used. - iuser[0] = ijac; - - System.out.printf(" t "); - for (int i = 1; i <= neq; i++) { - System.out.printf(" y(%1d) ", i); - } - System.out.println(); - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - itask = 0; - - for (int j = 0; j < 5; j++) { - ifail = -1; - d02ne.eval( - neq, t, tout, y, ydot, rtol, atol, itask, res2, jac2, icom, - com, lcom, iuser, ruser, ifail - ); - itask = d02ne.getITASK(); - ifail = d02ne.getIFAIL(); - t = d02ne.getT(); - - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - if (ifail != 0) { - System.out.printf( - " ** D02NEF returned with IFAIL = %5d\n", ifail - ); - break; - } - - tout += 0.2; - d02mc.eval(icom); - - } - - System.out.println(); - System.out.printf( - " The integrator completed task, ITASK = %4d\n", itask - ); - - } - - /** - * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based - * Java index. - * - *

    Fortran array definition: - * a(dimX, *) - * - *

    Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return ((y-1) * dimX) + (x-1); - } - - public static class RES1 extends D02NE.Abstract_D02NE_RES { - - public void eval() { - - this.R[0] = -(ALPHA * this.Y[0]) + (BETA * this.Y[1] * this.Y[2]) - - this.YDOT[0]; - this.R[1] = (ALPHA * this.Y[0]) - (BETA * this.Y[1] * this.Y[2]) - - (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[1]; - this.R[2] = (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[2]; - - } - - } - - public static class JAC1 extends D02NE.Abstract_D02NE_JAC { - - private double[] myjac1( - int neq, int ml, int mu, double t, double[] y, double[] ydot, - double[] pd, double cj - ) { - - int md, ms, pdDim1; - - pdDim1 = (2 * ml) + mu + 1; - - // Main diagonal pdfull(i,i), i=1, neq - md = mu + ml + 1; - pd[getIdx(md, 1, pdDim1)] = -ALPHA - cj; - pd[getIdx(md, 2, pdDim1)] = (-BETA * y[2]) - (2.0 * GAMMA * y[1]) - - cj; - pd[getIdx(md, 3, pdDim1)] = -cj; - - // 1 subdiagonal pdfull(i-1,i), i=2, neq - ms = md + 1; - pd[getIdx(ms, 1, pdDim1)] = ALPHA; - pd[getIdx(ms, 2, pdDim1)] = 2.0 * GAMMA * y[1]; - - // First superdiagonal pdfull(i-1,i), i=2, neq - ms = md - 1; - pd[getIdx(ms, 2, pdDim1)] = BETA * y[2]; - pd[getIdx(ms, 3, pdDim1)] = -BETA * y[1]; - - // Second superdiagonal pdfull(i-2,i), i=3, neq - ms = md - 2; - pd[getIdx(ms, 3, pdDim1)] = BETA * y[1]; - - return pd; - - } - - public void eval() { - D02NEZ d02nez = new D02NEZ(); - int ijac, ml, mu; - - ml = this.IUSER[0]; - mu = this.IUSER[1]; - ijac = this.IUSER[2]; - - if (ijac == 1) { - myjac1( - this.NEQ, ml, mu, this.T, this.Y, this.YDOT, this.PD, - this.CJ - ); - } - else { - d02nez.eval( - this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, - this.IUSER, this.RUSER - ); - } - - } - - } - - public static class RES2 extends D02NE.Abstract_D02NE_RES { - - public void eval() { - this.R[0] = 4.0 - Math.pow(this.Y[0], 2.0) - + (this.T * 0.1E0 * Math.exp(this.Y[0])); - } - - } - - public static class JAC2 extends D02NE.Abstract_D02NE_JAC { - - private void myjac2( - int neq, double t, double[] y, double[] ydot, double[] pd, - double cj - ) { - - pd[0] = -(2.0 * y[0]) + (0.1E0 * t * y[0] * Math.exp(y[0])); - - } - - public void eval() { - D02NEZ d02nez = new D02NEZ(); - int ijac; - - ijac = this.IUSER[0]; - - if (ijac == 1) { - myjac2(this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ); - } - else { - d02nez.eval( - this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, - this.IUSER, this.RUSER - ); - } - - } - - } - -} +import com.nag.routines.D02.D02MC; +import com.nag.routines.D02.D02MW; +import com.nag.routines.D02.D02NE; +import com.nag.routines.D02.D02NEZ; +import com.nag.routines.D02.D02NP; +import java.util.Arrays; + +/** + * D02NE example program text. + * @author joed + */ +public class D02NEJE { + + public static final double ALPHA = 0.04; + public static final double BETA = 1.0E4; + public static final double GAMMA = 3.0E7; + public static final int ML = 1; + public static final int MU = 2; + public static final int NEQ1 = 3; + public static final int NEQ2 = 1; + + public static JAC1 jac1 = new JAC1(); + public static JAC2 jac2 = new JAC2(); + public static RES1 res1 = new RES1(); + public static RES2 res2 = new RES2(); + + public static void main(String[] args) { + + System.out.println(" D02NEJ Example Program Results"); + + ex1(); + ex2(); + + } + + private static void ex1() { + + D02MC d02mc = new D02MC(); + D02MW d02mw = new D02MW(); + D02NE d02ne = new D02NE(); + D02NP d02np = new D02NP(); + double h0, hmax, t, tout; + int ifail, ijac, itask, itol, lcom, licom, maxord, neq; + String jceval; // length 8 + double[] atol, com, rtol, y, ydot, ruser; + int[] icom, iuser; + + ruser = new double[1]; + iuser = new int[3]; + + System.out.println(); + System.out.println(" D02NEF Example 1"); + System.out.println(); + + maxord = 5; + + neq = NEQ1; + lcom = 40 + (maxord + 4) * neq + (2 * ML + MU + 1) * neq + + 2 * (neq / (ML + MU + 1) + 1); + licom = 50 + neq; + + atol = new double[neq]; + com = new double[lcom]; + rtol = new double[neq]; + y = new double[neq]; + ydot = new double[neq]; + icom = new int[licom]; + + ijac = 1; + itol = 1; + Arrays.fill(rtol, 1.0E-3); + Arrays.fill(atol, 1.0E-6); + Arrays.fill(ydot, 0.0); + + // String length = 8 + jceval = (ijac == 1) ? "Analytic" : "Numeric "; + + // Set initial values + y[0] = 1.0; + y[1] = 0.0; + y[2] = 0.0; + + // Initialize the problem, specifying that the Jacobian is to be + // evaluated analytically using the provided routine jac. + hmax = 0.0; + h0 = 0.0; + t = 0.0; + tout = 0.02; + ifail = 0; + d02mw.eval( + neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail + ); + ifail = d02mw.getIFAIL(); + + // Specify that the Jacobian is banded. + ifail = 0; + d02np.eval(neq, ML, MU, icom, licom, ifail); + ifail = d02np.getIFAIL(); + + // Use the iuser array to pass the band dimensions through to jac. + // An alternative would be to hard code values for ml and mu in jac. + iuser[0] = ML; + iuser[1] = MU; + iuser[2] = ijac; + + System.out.printf(" t "); + for (int i = 1; i <= neq; i++) { + System.out.printf(" Y(%1d) ", i); + } + System.out.println(); + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + itask = 0; + + // Obtain the solution at 5 equally spaced values of T. + for (int j = 0; j < 5; j++) { + ifail = -1; + d02ne.eval( + neq, t, tout, y, ydot, rtol, atol, itask, res1, jac1, icom, + com, lcom, iuser, ruser, ifail + ); + itask = d02ne.getITASK(); + ifail = d02ne.getIFAIL(); + t = d02ne.getT(); + + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + if (ifail != 0) { + System.out.printf( + " ** D02NEF returned with IFAIL = %5d\n", ifail + ); + break; + } + + tout += 0.02; + d02mc.eval(icom); + + } + + System.out.println(); + System.out.printf( + " The integrator completed task, ITASK = %4d\n", itask + ); + + } + + private static void ex2() { + D02MC d02mc = new D02MC(); + D02MW d02mw = new D02MW(); + D02NE d02ne = new D02NE(); + double h0, hmax, t, tout; + int ifail, ijac, itask, itol, lcom, licom, maxord, neq; + String jceval; // length 8 + double[] atol, com, rtol, y, ydot, ruser; + int[] icom, iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println(); + System.out.println(" D02NEF Example 2"); + System.out.println(); + + maxord = 5; + neq = NEQ2; + lcom = 40 + (maxord + 4) * neq + neq * neq; + licom = 50 + neq; + + atol = new double[neq]; + com = new double[lcom]; + rtol = new double[neq]; + y = new double[neq]; + ydot = new double[neq]; + icom = new int[licom]; + + ijac = 1; + itol = 1; + rtol[0] = 0.0; + atol[0] = 1.0E-8; + ydot[0] = 0.0; + + // String length = 8 + jceval = (ijac == 1) ? "Analytic" : "Numeric "; + + // Initialize the problem, specifying that the Jacobian is to be + // evaluated analytically using the provided routine jac. + y[0] = 2.0; + hmax = 0.0; + h0 = 0.0; + t = 0.0; + tout = 0.2; + + ifail = 0; + d02mw.eval( + neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail + ); + ifail = d02mw.getIFAIL(); + + // Use the iuser array to pass whether numerical or analytic Jacobian + // is to be used. + iuser[0] = ijac; + + System.out.printf(" t "); + for (int i = 1; i <= neq; i++) { + System.out.printf(" y(%1d) ", i); + } + System.out.println(); + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + itask = 0; + + for (int j = 0; j < 5; j++) { + ifail = -1; + d02ne.eval( + neq, t, tout, y, ydot, rtol, atol, itask, res2, jac2, icom, + com, lcom, iuser, ruser, ifail + ); + itask = d02ne.getITASK(); + ifail = d02ne.getIFAIL(); + t = d02ne.getT(); + + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + if (ifail != 0) { + System.out.printf( + " ** D02NEF returned with IFAIL = %5d\n", ifail + ); + break; + } + + tout += 0.2; + d02mc.eval(icom); + + } + + System.out.println(); + System.out.printf( + " The integrator completed task, ITASK = %4d\n", itask + ); + + } + + /** + * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based + * Java index. + * + *

    Fortran array definition: + * a(dimX, *) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + + public static class RES1 extends D02NE.Abstract_D02NE_RES { + + public void eval() { + + this.R[0] = -(ALPHA * this.Y[0]) + (BETA * this.Y[1] * this.Y[2]) + - this.YDOT[0]; + this.R[1] = (ALPHA * this.Y[0]) - (BETA * this.Y[1] * this.Y[2]) + - (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[1]; + this.R[2] = (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[2]; + + } + + } + + public static class JAC1 extends D02NE.Abstract_D02NE_JAC { + + private double[] myjac1( + int neq, int ml, int mu, double t, double[] y, double[] ydot, + double[] pd, double cj + ) { + + int md, ms, pdDim1; + + pdDim1 = (2 * ml) + mu + 1; + + // Main diagonal pdfull(i,i), i=1, neq + md = mu + ml + 1; + pd[getIdx(md, 1, pdDim1)] = -ALPHA - cj; + pd[getIdx(md, 2, pdDim1)] = (-BETA * y[2]) - (2.0 * GAMMA * y[1]) + - cj; + pd[getIdx(md, 3, pdDim1)] = -cj; + + // 1 subdiagonal pdfull(i-1,i), i=2, neq + ms = md + 1; + pd[getIdx(ms, 1, pdDim1)] = ALPHA; + pd[getIdx(ms, 2, pdDim1)] = 2.0 * GAMMA * y[1]; + + // First superdiagonal pdfull(i-1,i), i=2, neq + ms = md - 1; + pd[getIdx(ms, 2, pdDim1)] = BETA * y[2]; + pd[getIdx(ms, 3, pdDim1)] = -BETA * y[1]; + + // Second superdiagonal pdfull(i-2,i), i=3, neq + ms = md - 2; + pd[getIdx(ms, 3, pdDim1)] = BETA * y[1]; + + return pd; + + } + + public void eval() { + D02NEZ d02nez = new D02NEZ(); + int ijac, ml, mu; + + ml = this.IUSER[0]; + mu = this.IUSER[1]; + ijac = this.IUSER[2]; + + if (ijac == 1) { + myjac1( + this.NEQ, ml, mu, this.T, this.Y, this.YDOT, this.PD, + this.CJ + ); + } + else { + d02nez.eval( + this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, + this.IUSER, this.RUSER + ); + } + + } + + } + + public static class RES2 extends D02NE.Abstract_D02NE_RES { + + public void eval() { + this.R[0] = 4.0 - Math.pow(this.Y[0], 2.0) + + (this.T * 0.1E0 * Math.exp(this.Y[0])); + } + + } + + public static class JAC2 extends D02NE.Abstract_D02NE_JAC { + + private void myjac2( + int neq, double t, double[] y, double[] ydot, double[] pd, + double cj + ) { + + pd[0] = -(2.0 * y[0]) + (0.1E0 * t * y[0] * Math.exp(y[0])); + + } + + public void eval() { + D02NEZ d02nez = new D02NEZ(); + int ijac; + + ijac = this.IUSER[0]; + + if (ijac == 1) { + myjac2(this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ); + } + else { + d02nez.eval( + this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, + this.IUSER, this.RUSER + ); + } + + } + + } + +} diff --git a/simple_examples/D02TLJE.java b/simple_examples/D02TLJE.java index 9333518..601b3ce 100644 --- a/simple_examples/D02TLJE.java +++ b/simple_examples/D02TLJE.java @@ -1,290 +1,290 @@ -import com.nag.routines.D02.D02TL; -import com.nag.routines.D02.D02TV; -import com.nag.routines.D02.D02TX; -import com.nag.routines.D02.D02TY; -import com.nag.routines.D02.D02TZ; -import java.util.Arrays; - -/** - * D02TL example program text. - * @author joed - */ -public class D02TLJE { - - public static final int MMAX = 3, NEQ = 3, NLBC = 3, NRBC = 3; - - public static double omega, sqrofr; - public static int[] m = {1, 3, 2}; - - public static FFUN ffun = new FFUN(); - public static FJAC fjac = new FJAC(); - public static GAFUN gafun = new GAFUN(); - public static GAJAC gajac = new GAJAC(); - public static GBFUN gbfun = new GBFUN(); - public static GBJAC gbjac = new GBJAC(); - public static GUESS guess = new GUESS(); - - public static void main(String[] args) { - - D02TL d02tl = new D02TL(); - D02TV d02tv = new D02TV(); - D02TX d02tx = new D02TX(); - D02TY d02ty = new D02TY(); - D02TZ d02tz = new D02TZ(); - double dx, ermx, r; - int iermx, ifail, ijermx, licomm, lrcomm, mxmesh, ncol, ncont, - nmesh; - double[] mesh, rcomm, tol, y, ruser = new double[1]; - int[] icomm, ipmesh, iuser = new int[2]; - - System.out.println(" D02TLJ Example Program Results"); - System.out.println(); - - ncol = 7; - nmesh = 11; - mxmesh = 51; - - mesh = new double[mxmesh]; - tol = new double[NEQ]; - y = new double[NEQ * MMAX]; - ipmesh = new int[mxmesh]; - - omega = 1.0; - Arrays.fill(tol, 1.0E-4); - - dx = 1.0 / ((double) nmesh - 1); - - mesh[0] = 0.0; - for (int i = 1; i < nmesh - 1; i++) { - mesh[i] = mesh[i - 1] + dx; - } - mesh[nmesh - 1] = 1.0; - - ipmesh[0] = 1; - Arrays.fill(ipmesh, 1, nmesh - 1, 2); - ipmesh[nmesh - 1] = 1; - - // Workspace query to get size of rcomm and icomm - ifail = 0; - d02tv.eval( - NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, ruser, - 0, iuser, 2, ifail - ); - ifail = d02tv.getIFAIL(); - lrcomm = iuser[0]; - licomm = iuser[1]; - rcomm = new double[lrcomm]; - icomm = new int[licomm]; - - // Initialise integrator for given problem - ifail = 0; - d02tv.eval( - NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, rcomm, - lrcomm, icomm, licomm, ifail - ); - ifail = d02tv.getIFAIL(); - - ncont = 3; - r = 1.0E6; - - sqrofr = Math.sqrt(r); - - ermx = 0.0; - iermx = 0; - ijermx = 0; - - for (int j = 0; j < ncont; j++) { - System.out.printf("\n Tolerance = %8.1E R = %10.3E\n", tol[0], r); - - // Solve problem - ifail = -1; - d02tl.eval( - ffun, fjac, gafun, gbfun, gajac, gbjac, guess, rcomm, icomm, - iuser, ruser, ifail - ); - ifail = d02tl.getIFAIL(); - if (ifail != 0) { - System.err.println("D02TL failed with error code " + ifail); - } - - // Extract mesh - ifail = -1; - d02tz.eval( - mxmesh, nmesh, mesh, ipmesh, ermx, iermx, ijermx, rcomm, icomm, - ifail - ); - nmesh = d02tz.getNMESH(); - iermx = d02tz.getIERMX(); - ijermx = d02tz.getIJERMX(); - ermx = d02tz.getERMX(); - ifail = d02tz.getIFAIL(); - if (ifail == 1) { - break; - } - - // Print mesh, error stats - System.out.printf( - "\n" - + " Used a mesh of %4d points\n" - + " Maximum error = %10.2E in interval %4d for component %4d\n" - + "\n", - nmesh, ermx, iermx, ijermx - ); - System.out.printf("\n Mesh points:\n"); - for (int i = 0; i < nmesh; i++) { - System.out.printf("%4d(%1d)%10.3E", i+1, ipmesh[i], mesh[i]); - if ((i+1) % 4 == 0) { - System.out.printf("\n"); - } - } - System.out.printf("\n"); - - // Print solution components on mesh - System.out.printf("\n x f f\' g\n"); - for (int i = 0; i < nmesh; i++) { - ifail = 0; - d02ty.eval(mesh[i], y, NEQ, MMAX, rcomm, icomm, ifail); - ifail = d02ty.getIFAIL(); - System.out.printf( - " %8.3f %9.4f%9.4f%9.4f\n", mesh[i], y[getIdx(1, 0, NEQ)], - y[getIdx(2, 0, NEQ)], y[getIdx(3, 0, NEQ)] - ); - } - - if (j == ncont - 1) { - break; - } - - // Modify continuation parameter - r = 100.0 * r; - sqrofr = Math.sqrt(r); - - // Select mesh for continuation - Arrays.fill(ipmesh, 1, nmesh - 1, 2); - - // Call continuation primer routine - ifail = 0; - d02tx.eval(mxmesh, nmesh, mesh, ipmesh, rcomm, icomm, ifail); - mxmesh = d02tx.getMXMESH(); - nmesh = d02tx.getNMESH(); - ifail = d02tx.getIFAIL(); - - } - - } - - /** - * Converts a 2D Fortran index to the 1D index for its corresponding Java - * array. Assumes y is already zero-based. - * - *

    Fortran array definition: - * a(dimX, 0:*) - * - *

    Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return (y * dimX) + (x-1); - } - - /** - * Converts a 3D Fortran index to the 1D index for its corresponding Java - * array. Assumes z is already zero-based. - * - *

    Fortran array definition: - * a(dimX, dimY, 0:*) - * - *

    Conversion: - * a(x, y, z) --> A[result] - */ - private static int getIdx(int x, int y, int z, int dimX, int dimY) { - return (z * dimY * dimX) + ((y-1) * dimX) + (x-1); - } - - public static class FFUN extends D02TL.Abstract_D02TL_FFUN { - - public void eval() { - F[0] = Y[getIdx(2, 0, NEQ)]; - F[1] = -((Y[getIdx(1, 0, NEQ)] * Y[getIdx(2, 2, NEQ)]) - + (Y[getIdx(3, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; - F[2] = ((Y[getIdx(2, 0, NEQ)] * Y[getIdx(3, 0, NEQ)]) - - (Y[getIdx(1, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; - } - - } - - public static class FJAC extends D02TL.Abstract_D02TL_FJAC { - - public void eval() { - DFDY[getIdx(1, 2, 0, NEQ, NEQ)] = 1.0; - DFDY[getIdx(2, 1, 0, NEQ, NEQ)] = -Y[getIdx(2, 2, NEQ)] * sqrofr; - DFDY[getIdx(2, 2, 2, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; - DFDY[getIdx(2, 3, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; - DFDY[getIdx(2, 3, 1, NEQ, NEQ)] = -Y[getIdx(3, 0, NEQ)] * sqrofr; - DFDY[getIdx(3, 1, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; - DFDY[getIdx(3, 2, 0, NEQ, NEQ)] = Y[getIdx(3, 0, NEQ)] * sqrofr; - DFDY[getIdx(3, 3, 0, NEQ, NEQ)] = Y[getIdx(2, 0, NEQ)] * sqrofr; - DFDY[getIdx(3, 3, 1, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; - } - - } - - public static class GAFUN extends D02TL.Abstract_D02TL_GAFUN { - - public void eval() { - GA[0] = YA[getIdx(1, 0, NEQ)]; - GA[1] = YA[getIdx(2, 0, NEQ)]; - GA[2] = YA[getIdx(3, 0, NEQ)] - omega; - } - - } - - public static class GBFUN extends D02TL.Abstract_D02TL_GBFUN { - - public void eval() { - GB[0] = YB[getIdx(1, 0, NEQ)]; - GB[1] = YB[getIdx(2, 0, NEQ)]; - GB[2] = YB[getIdx(3, 0, NEQ)] + omega; - } - - } - - public static class GAJAC extends D02TL.Abstract_D02TL_GAJAC { - - public void eval() { - DGADY[getIdx(1, 1, 0, NLBC, NEQ)] = 1.0; - DGADY[getIdx(2, 2, 0, NLBC, NEQ)] = 1.0; - DGADY[getIdx(3, 3, 0, NLBC, NEQ)] = 1.0; - } - - } - - public static class GBJAC extends D02TL.Abstract_D02TL_GBJAC { - - public void eval() { - DGBDY[getIdx(1, 1, 0, NRBC, NEQ)] = 1.0; - DGBDY[getIdx(2, 2, 0, NRBC, NEQ)] = 1.0; - DGBDY[getIdx(3, 3, 0, NRBC, NEQ)] = 1.0; - } - - } - - public static class GUESS extends D02TL.Abstract_D02TL_GUESS { - - public void eval() { - Y[getIdx(1, 0, NEQ)] = -(X - 0.5) * Math.pow(X * (X - 1.0), 2.0); - Y[getIdx(2, 0, NEQ)] = -X * (X - 1.0) - * (5.0 * X * (X - 1.0) + 1.0); - Y[getIdx(2, 1, NEQ)] = -(2.0 * X - 1.0) - * (10.0 * X * (X - 1.0) + 1.0); - Y[getIdx(2, 2, NEQ)] = -12.0 * (5.0 * X * (X - 1.0) + 1.0); - Y[getIdx(3, 0, NEQ)] = -8.0 * omega * Math.pow(X - 0.5, 3.0); - Y[getIdx(3, 1, NEQ)] = -24.0 * omega * Math.pow(X - 0.5, 2.0); - DYM[0] = Y[getIdx(2, 0, NEQ)]; - DYM[1] = -120.0 * (X - 0.5); - DYM[2] = -56.0 * omega * (X - 0.5); - } - - } - -} +import com.nag.routines.D02.D02TL; +import com.nag.routines.D02.D02TV; +import com.nag.routines.D02.D02TX; +import com.nag.routines.D02.D02TY; +import com.nag.routines.D02.D02TZ; +import java.util.Arrays; + +/** + * D02TL example program text. + * @author joed + */ +public class D02TLJE { + + public static final int MMAX = 3, NEQ = 3, NLBC = 3, NRBC = 3; + + public static double omega, sqrofr; + public static int[] m = {1, 3, 2}; + + public static FFUN ffun = new FFUN(); + public static FJAC fjac = new FJAC(); + public static GAFUN gafun = new GAFUN(); + public static GAJAC gajac = new GAJAC(); + public static GBFUN gbfun = new GBFUN(); + public static GBJAC gbjac = new GBJAC(); + public static GUESS guess = new GUESS(); + + public static void main(String[] args) { + + D02TL d02tl = new D02TL(); + D02TV d02tv = new D02TV(); + D02TX d02tx = new D02TX(); + D02TY d02ty = new D02TY(); + D02TZ d02tz = new D02TZ(); + double dx, ermx, r; + int iermx, ifail, ijermx, licomm, lrcomm, mxmesh, ncol, ncont, + nmesh; + double[] mesh, rcomm, tol, y, ruser = new double[1]; + int[] icomm, ipmesh, iuser = new int[2]; + + System.out.println(" D02TLJ Example Program Results"); + System.out.println(); + + ncol = 7; + nmesh = 11; + mxmesh = 51; + + mesh = new double[mxmesh]; + tol = new double[NEQ]; + y = new double[NEQ * MMAX]; + ipmesh = new int[mxmesh]; + + omega = 1.0; + Arrays.fill(tol, 1.0E-4); + + dx = 1.0 / ((double) nmesh - 1); + + mesh[0] = 0.0; + for (int i = 1; i < nmesh - 1; i++) { + mesh[i] = mesh[i - 1] + dx; + } + mesh[nmesh - 1] = 1.0; + + ipmesh[0] = 1; + Arrays.fill(ipmesh, 1, nmesh - 1, 2); + ipmesh[nmesh - 1] = 1; + + // Workspace query to get size of rcomm and icomm + ifail = 0; + d02tv.eval( + NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, ruser, + 0, iuser, 2, ifail + ); + ifail = d02tv.getIFAIL(); + lrcomm = iuser[0]; + licomm = iuser[1]; + rcomm = new double[lrcomm]; + icomm = new int[licomm]; + + // Initialise integrator for given problem + ifail = 0; + d02tv.eval( + NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, rcomm, + lrcomm, icomm, licomm, ifail + ); + ifail = d02tv.getIFAIL(); + + ncont = 3; + r = 1.0E6; + + sqrofr = Math.sqrt(r); + + ermx = 0.0; + iermx = 0; + ijermx = 0; + + for (int j = 0; j < ncont; j++) { + System.out.printf("\n Tolerance = %8.1E R = %10.3E\n", tol[0], r); + + // Solve problem + ifail = -1; + d02tl.eval( + ffun, fjac, gafun, gbfun, gajac, gbjac, guess, rcomm, icomm, + iuser, ruser, ifail + ); + ifail = d02tl.getIFAIL(); + if (ifail != 0) { + System.err.println("D02TL failed with error code " + ifail); + } + + // Extract mesh + ifail = -1; + d02tz.eval( + mxmesh, nmesh, mesh, ipmesh, ermx, iermx, ijermx, rcomm, icomm, + ifail + ); + nmesh = d02tz.getNMESH(); + iermx = d02tz.getIERMX(); + ijermx = d02tz.getIJERMX(); + ermx = d02tz.getERMX(); + ifail = d02tz.getIFAIL(); + if (ifail == 1) { + break; + } + + // Print mesh, error stats + System.out.printf( + "\n" + + " Used a mesh of %4d points\n" + + " Maximum error = %10.2E in interval %4d for component %4d\n" + + "\n", + nmesh, ermx, iermx, ijermx + ); + System.out.printf("\n Mesh points:\n"); + for (int i = 0; i < nmesh; i++) { + System.out.printf("%4d(%1d)%10.3E", i+1, ipmesh[i], mesh[i]); + if ((i+1) % 4 == 0) { + System.out.printf("\n"); + } + } + System.out.printf("\n"); + + // Print solution components on mesh + System.out.printf("\n x f f\' g\n"); + for (int i = 0; i < nmesh; i++) { + ifail = 0; + d02ty.eval(mesh[i], y, NEQ, MMAX, rcomm, icomm, ifail); + ifail = d02ty.getIFAIL(); + System.out.printf( + " %8.3f %9.4f%9.4f%9.4f\n", mesh[i], y[getIdx(1, 0, NEQ)], + y[getIdx(2, 0, NEQ)], y[getIdx(3, 0, NEQ)] + ); + } + + if (j == ncont - 1) { + break; + } + + // Modify continuation parameter + r = 100.0 * r; + sqrofr = Math.sqrt(r); + + // Select mesh for continuation + Arrays.fill(ipmesh, 1, nmesh - 1, 2); + + // Call continuation primer routine + ifail = 0; + d02tx.eval(mxmesh, nmesh, mesh, ipmesh, rcomm, icomm, ifail); + mxmesh = d02tx.getMXMESH(); + nmesh = d02tx.getNMESH(); + ifail = d02tx.getIFAIL(); + + } + + } + + /** + * Converts a 2D Fortran index to the 1D index for its corresponding Java + * array. Assumes y is already zero-based. + * + *

    Fortran array definition: + * a(dimX, 0:*) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return (y * dimX) + (x-1); + } + + /** + * Converts a 3D Fortran index to the 1D index for its corresponding Java + * array. Assumes z is already zero-based. + * + *

    Fortran array definition: + * a(dimX, dimY, 0:*) + * + *

    Conversion: + * a(x, y, z) --> A[result] + */ + private static int getIdx(int x, int y, int z, int dimX, int dimY) { + return (z * dimY * dimX) + ((y-1) * dimX) + (x-1); + } + + public static class FFUN extends D02TL.Abstract_D02TL_FFUN { + + public void eval() { + F[0] = Y[getIdx(2, 0, NEQ)]; + F[1] = -((Y[getIdx(1, 0, NEQ)] * Y[getIdx(2, 2, NEQ)]) + + (Y[getIdx(3, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; + F[2] = ((Y[getIdx(2, 0, NEQ)] * Y[getIdx(3, 0, NEQ)]) + - (Y[getIdx(1, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; + } + + } + + public static class FJAC extends D02TL.Abstract_D02TL_FJAC { + + public void eval() { + DFDY[getIdx(1, 2, 0, NEQ, NEQ)] = 1.0; + DFDY[getIdx(2, 1, 0, NEQ, NEQ)] = -Y[getIdx(2, 2, NEQ)] * sqrofr; + DFDY[getIdx(2, 2, 2, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; + DFDY[getIdx(2, 3, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; + DFDY[getIdx(2, 3, 1, NEQ, NEQ)] = -Y[getIdx(3, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 1, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; + DFDY[getIdx(3, 2, 0, NEQ, NEQ)] = Y[getIdx(3, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 3, 0, NEQ, NEQ)] = Y[getIdx(2, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 3, 1, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; + } + + } + + public static class GAFUN extends D02TL.Abstract_D02TL_GAFUN { + + public void eval() { + GA[0] = YA[getIdx(1, 0, NEQ)]; + GA[1] = YA[getIdx(2, 0, NEQ)]; + GA[2] = YA[getIdx(3, 0, NEQ)] - omega; + } + + } + + public static class GBFUN extends D02TL.Abstract_D02TL_GBFUN { + + public void eval() { + GB[0] = YB[getIdx(1, 0, NEQ)]; + GB[1] = YB[getIdx(2, 0, NEQ)]; + GB[2] = YB[getIdx(3, 0, NEQ)] + omega; + } + + } + + public static class GAJAC extends D02TL.Abstract_D02TL_GAJAC { + + public void eval() { + DGADY[getIdx(1, 1, 0, NLBC, NEQ)] = 1.0; + DGADY[getIdx(2, 2, 0, NLBC, NEQ)] = 1.0; + DGADY[getIdx(3, 3, 0, NLBC, NEQ)] = 1.0; + } + + } + + public static class GBJAC extends D02TL.Abstract_D02TL_GBJAC { + + public void eval() { + DGBDY[getIdx(1, 1, 0, NRBC, NEQ)] = 1.0; + DGBDY[getIdx(2, 2, 0, NRBC, NEQ)] = 1.0; + DGBDY[getIdx(3, 3, 0, NRBC, NEQ)] = 1.0; + } + + } + + public static class GUESS extends D02TL.Abstract_D02TL_GUESS { + + public void eval() { + Y[getIdx(1, 0, NEQ)] = -(X - 0.5) * Math.pow(X * (X - 1.0), 2.0); + Y[getIdx(2, 0, NEQ)] = -X * (X - 1.0) + * (5.0 * X * (X - 1.0) + 1.0); + Y[getIdx(2, 1, NEQ)] = -(2.0 * X - 1.0) + * (10.0 * X * (X - 1.0) + 1.0); + Y[getIdx(2, 2, NEQ)] = -12.0 * (5.0 * X * (X - 1.0) + 1.0); + Y[getIdx(3, 0, NEQ)] = -8.0 * omega * Math.pow(X - 0.5, 3.0); + Y[getIdx(3, 1, NEQ)] = -24.0 * omega * Math.pow(X - 0.5, 2.0); + DYM[0] = Y[getIdx(2, 0, NEQ)]; + DYM[1] = -120.0 * (X - 0.5); + DYM[2] = -56.0 * omega * (X - 0.5); + } + + } + +} diff --git a/simple_examples/D03RAJE.java b/simple_examples/D03RAJE.java index 03c2e3b..88d49aa 100644 --- a/simple_examples/D03RAJE.java +++ b/simple_examples/D03RAJE.java @@ -1,307 +1,307 @@ -import com.nag.routines.D03.D03RA; -import com.nag.routines.D03.D03RA.D03RA_BNDARY; -import com.nag.routines.D03.D03RA.D03RA_MONITR; -import com.nag.routines.X01.X01AA; -import com.nag.routines.X02.X02AJ; -import java.util.Arrays; - -/** - * D03RA example program text. - * @author joed - */ -public class D03RAJE { - - public static final double ALPHA = 50.0; - public static final double BETA = 300.0; - public static final double XMAX = 1.0; - public static final double XMIN = 0.0; - public static final double YMAX = 1.0; - public static final double YMIN = 0.0; - public static final int ITRACE = 0; - public static final int NPDE = 1; - - public static D03RA d03ra = new D03RA(); - public static PDEDEF pdedef = new PDEDEF(); - public static BNDRY bndry = new BNDRY(); - public static PDEIV pdeiv = new PDEIV(); - public static MONIT monit = new MONIT(); - public static MONITDUMMY monitDummy = new MONITDUMMY(); - - public static void main(String[] args) { - double tols, tolt, tout, ts; - int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, npde, npts, nx, ny; - double[] dt, twant, optr, rwk; - int[] wklens, iwk, opti = new int[4]; - boolean[] lwk; - - // Run examples - System.out.println(" D03RAJ Example Program Results"); - System.out.println(); - - npts = 2000; - npde = NPDE; - - dt = new double[] {0.1e-2, 0.0, 0.0}; - twant = new double[] {0.24, 0.25}; - ts = 0.0; - - ind = 10; - nx = 41; - ny = 41; - tols = 0.5; - tolt = 0.01; - Arrays.fill(opti, 0); - opti[0] = 6; - maxlev = Math.max(opti[0], 3); - - wklens = computeWkspaceLens(maxlev, npde, npts); - lenrwk = wklens[0]; - leniwk = wklens[1]; - lenlwk = wklens[2]; - rwk = new double[lenrwk]; - iwk = new int[leniwk]; - lwk = new boolean[lenlwk]; - - optr = new double[3 * npde]; - Arrays.fill(optr, 1.0); - - for (int i = 0; i < 2; i++) { - tout = twant[i]; - ifail = 0; - if (i == 0) { - // Dummy monitor used to avoid output on first call - d03ra.eval( - npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, - tolt, pdedef, bndry, pdeiv, monitDummy, opti, optr, - rwk, lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail - ); - } - else { - d03ra.eval( - npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, - tolt, pdedef, bndry, pdeiv, monit, opti, optr, rwk, - lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail - ); - } - - ind = d03ra.getIND(); - ifail = d03ra.getIFAIL(); - ts = d03ra.getTS(); - - printStatistics(ts, iwk, maxlev); - - } - - } - - public static class PDEIV extends D03RA.Abstract_D03RA_PDEIV { - - public void eval() { - Arrays.fill(this.U, 1.0); - } - - } - - public static class PDEDEF extends D03RA.Abstract_D03RA_PDEDEF { - - private static final double ACTIV_ENERGY = 20.0; - private static final double DIFFUSION = 0.1; - private static final double HEAT_RELEASE = 1.0; - private static final double REACTION_RATE = 5.0; - - public void eval() { - - double damkohler; - - damkohler = REACTION_RATE * Math.exp(ACTIV_ENERGY) - / (HEAT_RELEASE * ACTIV_ENERGY); - - for (int col = 0; col < this.NPDE; col++) { - for (int row = 0; row < this.NPTS; row++) { - int idx = (col * this.NPTS) + row; - this.RES[idx] = this.UT[idx] - - (DIFFUSION * (this.UXX[idx] + this.UYY[idx])) - - (damkohler - * (1.0e0 + HEAT_RELEASE - this.U[idx]) - * Math.exp(-ACTIV_ENERGY / this.U[idx])); - } - } - - } - - } - - public static class BNDRY extends D03RA.Abstract_D03RA_BNDARY { - - public void eval() { - X02AJ x02aj = new X02AJ(); - double tol; - - // X02AJ returns machine precision - tol = 10.0 * x02aj.eval(); - - for (int i = 0; i < this.NBPTS; i++) { - int j = this.LBND[i] - 1; - - if (Math.abs(this.X[j]) <= tol) { - for (int col = 0; col < this.NPDE; col++) { - int idx = (col * this.NPTS) + j; - this.RES[idx] = this.UX[idx]; - } - } - else if (Math.abs(this.X[j] - 1.0) <= tol) { - for (int col = 0; col < this.NPDE; col++) { - int idx = (col * this.NPTS) + j; - this.RES[idx] = this.U[idx] - 1.0; - } - } - else if (Math.abs(this.Y[j]) <= tol) { - for (int col = 0; col < this.NPDE; col++) { - int idx = (col * this.NPTS) + j; - this.RES[idx] = this.UY[idx]; - } - } - else if (Math.abs(this.Y[j] - 1.0) <= tol) { - for (int col = 0; col < this.NPDE; col++) { - int idx = (col * this.NPTS) + j; - this.RES[idx] = this.U[idx] - 1.0; - } - } - } - - } - - } - - public static class MONIT extends D03RA.Abstract_D03RA_MONITR { - - public void eval() { - int ipsol, k, level, npts; - - if (TLAST) { - // Print solution - level = this.NLEV - 1; - npts = this.NGPTS[level]; - ipsol = this.LSOL[level]; - k = 0; - for (int i = 0; i < level; i++) { - k += this.NGPTS[i]; - } - - System.out.printf( - " Solution at every 4th grid point in level%10d" - + " at time %8.4f:%n%n", this.NLEV, this.T - ); - System.out.println( - " x y approx u\n" - ); - for (int i = 0; i < npts; i += 4) { - double ix = this.XPTS[k + i]; - double iy = this.YPTS[k + i]; - double isol = this.SOL[ipsol + i]; - System.out.printf( - " %11.4E %11.3E %11.3E%n", - ix, iy, isol - ); - } - System.out.println(); - - } - - } - - } - - public static class MONITDUMMY extends D03RA.Abstract_D03RA_MONITR { - - public void eval() { - return; - } - - } - - public static int[] computeWkspaceLens(int maxlev, int npde, int maxpts) { - int lenrwk, leniwk, lenlwk; - - lenrwk = (2 * maxpts * npde * ((5 * maxlev) + (18 * npde) + 9)) - + (2 * maxpts); - leniwk = (2 * maxpts * (14 + (5 * maxlev))) - + (7 * maxlev) + 2; - lenlwk = (2 * maxpts) + 400; - - return new int[] {lenrwk, leniwk, lenlwk}; - - } - - public static void printStatistics(double ts, int[] iwk, int maxlev) { - int[] istats = new int[4]; - - System.out.printf(" Statistics:%n"); - System.out.printf(" Time = %8.4f%n", ts); - System.out.printf( - " Total number of accepted timesteps =%5d%n", iwk[0] - ); - System.out.printf( - " Total number of rejected timesteps =%5d%n", iwk[1] - ); - System.out.printf( - "%n" - + " Total number (rounded) of%n" - + " Residual Jacobian Newton Lin sys%n" - + " evals evals iters iters%n" - + " At level %n" - ); - - for (int j = 0; j < maxlev; j++) { - if (iwk[j + 2] != 0) { - int idx = 0; - for (int i = j+2; i <= j+2+(3*maxlev); i += maxlev) { - istats[idx++] = iwk[i]; - } - istats = roundStatisics(istats); - System.out.printf("%8d", j + 1); - for (int i = 0; i < 4; i++) { - System.out.printf("%10d", istats[i]); - } - System.out.printf("%n"); - } - } - - System.out.printf( - "%n" - + " Maximum number of %n" - + " Newton iters Lin sys iters %n" - + " At level %n" - ); - - for (int j = 0; j < maxlev; j++) { - if (iwk[j+2] != 0) { - System.out.printf("%8d", j+1); - System.out.printf("%14d", iwk[j+2+(4*maxlev)]); - System.out.printf("%14d", iwk[j+2+(5*maxlev)]); - System.out.printf("%n"); - } - } - System.out.println(); - - } - - public static int[] roundStatisics(int[] istat) { - double lt; - int k; - - lt = Math.log(10.0); - for (int i = 0; i < istat.length; i++) { - // istat = 0 leads to div by 0 error, doesn't need rounding anyway - if (istat[i] != 0) { - k = (int) (Math.log((double) istat[i]) / lt); - k = (int) Math.pow(10, k); - istat[i] = k * ((istat[i] + k/2)/k); - } - } - - return istat; - - } - -} +import com.nag.routines.D03.D03RA; +import com.nag.routines.D03.D03RA.D03RA_BNDARY; +import com.nag.routines.D03.D03RA.D03RA_MONITR; +import com.nag.routines.X01.X01AA; +import com.nag.routines.X02.X02AJ; +import java.util.Arrays; + +/** + * D03RA example program text. + * @author joed + */ +public class D03RAJE { + + public static final double ALPHA = 50.0; + public static final double BETA = 300.0; + public static final double XMAX = 1.0; + public static final double XMIN = 0.0; + public static final double YMAX = 1.0; + public static final double YMIN = 0.0; + public static final int ITRACE = 0; + public static final int NPDE = 1; + + public static D03RA d03ra = new D03RA(); + public static PDEDEF pdedef = new PDEDEF(); + public static BNDRY bndry = new BNDRY(); + public static PDEIV pdeiv = new PDEIV(); + public static MONIT monit = new MONIT(); + public static MONITDUMMY monitDummy = new MONITDUMMY(); + + public static void main(String[] args) { + double tols, tolt, tout, ts; + int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, npde, npts, nx, ny; + double[] dt, twant, optr, rwk; + int[] wklens, iwk, opti = new int[4]; + boolean[] lwk; + + // Run examples + System.out.println(" D03RAJ Example Program Results"); + System.out.println(); + + npts = 2000; + npde = NPDE; + + dt = new double[] {0.1e-2, 0.0, 0.0}; + twant = new double[] {0.24, 0.25}; + ts = 0.0; + + ind = 10; + nx = 41; + ny = 41; + tols = 0.5; + tolt = 0.01; + Arrays.fill(opti, 0); + opti[0] = 6; + maxlev = Math.max(opti[0], 3); + + wklens = computeWkspaceLens(maxlev, npde, npts); + lenrwk = wklens[0]; + leniwk = wklens[1]; + lenlwk = wklens[2]; + rwk = new double[lenrwk]; + iwk = new int[leniwk]; + lwk = new boolean[lenlwk]; + + optr = new double[3 * npde]; + Arrays.fill(optr, 1.0); + + for (int i = 0; i < 2; i++) { + tout = twant[i]; + ifail = 0; + if (i == 0) { + // Dummy monitor used to avoid output on first call + d03ra.eval( + npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, + tolt, pdedef, bndry, pdeiv, monitDummy, opti, optr, + rwk, lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail + ); + } + else { + d03ra.eval( + npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, + tolt, pdedef, bndry, pdeiv, monit, opti, optr, rwk, + lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail + ); + } + + ind = d03ra.getIND(); + ifail = d03ra.getIFAIL(); + ts = d03ra.getTS(); + + printStatistics(ts, iwk, maxlev); + + } + + } + + public static class PDEIV extends D03RA.Abstract_D03RA_PDEIV { + + public void eval() { + Arrays.fill(this.U, 1.0); + } + + } + + public static class PDEDEF extends D03RA.Abstract_D03RA_PDEDEF { + + private static final double ACTIV_ENERGY = 20.0; + private static final double DIFFUSION = 0.1; + private static final double HEAT_RELEASE = 1.0; + private static final double REACTION_RATE = 5.0; + + public void eval() { + + double damkohler; + + damkohler = REACTION_RATE * Math.exp(ACTIV_ENERGY) + / (HEAT_RELEASE * ACTIV_ENERGY); + + for (int col = 0; col < this.NPDE; col++) { + for (int row = 0; row < this.NPTS; row++) { + int idx = (col * this.NPTS) + row; + this.RES[idx] = this.UT[idx] + - (DIFFUSION * (this.UXX[idx] + this.UYY[idx])) + - (damkohler + * (1.0e0 + HEAT_RELEASE - this.U[idx]) + * Math.exp(-ACTIV_ENERGY / this.U[idx])); + } + } + + } + + } + + public static class BNDRY extends D03RA.Abstract_D03RA_BNDARY { + + public void eval() { + X02AJ x02aj = new X02AJ(); + double tol; + + // X02AJ returns machine precision + tol = 10.0 * x02aj.eval(); + + for (int i = 0; i < this.NBPTS; i++) { + int j = this.LBND[i] - 1; + + if (Math.abs(this.X[j]) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.UX[idx]; + } + } + else if (Math.abs(this.X[j] - 1.0) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.U[idx] - 1.0; + } + } + else if (Math.abs(this.Y[j]) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.UY[idx]; + } + } + else if (Math.abs(this.Y[j] - 1.0) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.U[idx] - 1.0; + } + } + } + + } + + } + + public static class MONIT extends D03RA.Abstract_D03RA_MONITR { + + public void eval() { + int ipsol, k, level, npts; + + if (TLAST) { + // Print solution + level = this.NLEV - 1; + npts = this.NGPTS[level]; + ipsol = this.LSOL[level]; + k = 0; + for (int i = 0; i < level; i++) { + k += this.NGPTS[i]; + } + + System.out.printf( + " Solution at every 4th grid point in level%10d" + + " at time %8.4f:%n%n", this.NLEV, this.T + ); + System.out.println( + " x y approx u\n" + ); + for (int i = 0; i < npts; i += 4) { + double ix = this.XPTS[k + i]; + double iy = this.YPTS[k + i]; + double isol = this.SOL[ipsol + i]; + System.out.printf( + " %11.4E %11.3E %11.3E%n", + ix, iy, isol + ); + } + System.out.println(); + + } + + } + + } + + public static class MONITDUMMY extends D03RA.Abstract_D03RA_MONITR { + + public void eval() { + return; + } + + } + + public static int[] computeWkspaceLens(int maxlev, int npde, int maxpts) { + int lenrwk, leniwk, lenlwk; + + lenrwk = (2 * maxpts * npde * ((5 * maxlev) + (18 * npde) + 9)) + + (2 * maxpts); + leniwk = (2 * maxpts * (14 + (5 * maxlev))) + + (7 * maxlev) + 2; + lenlwk = (2 * maxpts) + 400; + + return new int[] {lenrwk, leniwk, lenlwk}; + + } + + public static void printStatistics(double ts, int[] iwk, int maxlev) { + int[] istats = new int[4]; + + System.out.printf(" Statistics:%n"); + System.out.printf(" Time = %8.4f%n", ts); + System.out.printf( + " Total number of accepted timesteps =%5d%n", iwk[0] + ); + System.out.printf( + " Total number of rejected timesteps =%5d%n", iwk[1] + ); + System.out.printf( + "%n" + + " Total number (rounded) of%n" + + " Residual Jacobian Newton Lin sys%n" + + " evals evals iters iters%n" + + " At level %n" + ); + + for (int j = 0; j < maxlev; j++) { + if (iwk[j + 2] != 0) { + int idx = 0; + for (int i = j+2; i <= j+2+(3*maxlev); i += maxlev) { + istats[idx++] = iwk[i]; + } + istats = roundStatisics(istats); + System.out.printf("%8d", j + 1); + for (int i = 0; i < 4; i++) { + System.out.printf("%10d", istats[i]); + } + System.out.printf("%n"); + } + } + + System.out.printf( + "%n" + + " Maximum number of %n" + + " Newton iters Lin sys iters %n" + + " At level %n" + ); + + for (int j = 0; j < maxlev; j++) { + if (iwk[j+2] != 0) { + System.out.printf("%8d", j+1); + System.out.printf("%14d", iwk[j+2+(4*maxlev)]); + System.out.printf("%14d", iwk[j+2+(5*maxlev)]); + System.out.printf("%n"); + } + } + System.out.println(); + + } + + public static int[] roundStatisics(int[] istat) { + double lt; + int k; + + lt = Math.log(10.0); + for (int i = 0; i < istat.length; i++) { + // istat = 0 leads to div by 0 error, doesn't need rounding anyway + if (istat[i] != 0) { + k = (int) (Math.log((double) istat[i]) / lt); + k = (int) Math.pow(10, k); + istat[i] = k * ((istat[i] + k/2)/k); + } + } + + return istat; + + } + +} diff --git a/simple_examples/D03RBJE.java b/simple_examples/D03RBJE.java index 97faf1c..9b1b482 100644 --- a/simple_examples/D03RBJE.java +++ b/simple_examples/D03RBJE.java @@ -1,388 +1,388 @@ -import com.nag.routines.D03.D03RB; -import com.nag.routines.D03.D03RZ; -import java.util.Arrays; - -/** - * D03RB example program text. - * @author joed - */ -public class D03RBJE { - - public static final int ITRACE = -1; - public static final int NPDE = 2; - public static final double[] TWANT = {0.25, 1.0}; - - public static boolean do_monitr; - public static int print_stats = 0; - - public static BNDARY bndary = new BNDARY(); - public static INIDOM inidom = new INIDOM(); - public static MONITR monitr = new MONITR(); - public static PDEDEF pdedef = new PDEDEF(); - public static PDEIV pdeiv = new PDEIV(); - - public static void main(String[] args) { - D03RB d03rb = new D03RB(); - double tols, tolt, tout, ts; - int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, mxlev, npts; - boolean[] lwk; - double[] optr, rwk, dt = new double[3]; - int[] iwk, opti = new int[4]; - - System.out.println(" D03RBJ Example Program Results"); - - npts = 3000; - mxlev = 7; - - leniwk = 10 * npts * (5 * mxlev + 14) + 2 + 7 * mxlev; - lenlwk = 20 * npts; - lenrwk = 20 * (npts * NPDE * (5 * mxlev + 9 + 18 * NPDE) + 2 * npts); - - rwk = new double[lenrwk]; - iwk = new int[leniwk]; - lwk = new boolean[lenlwk]; - optr = new double[3 * NPDE]; - - // Specify that we are starting the integration in time - // (ind = 0 normally). - ind = 10; - - ts = 0.0; - dt[0] = 0.001; - dt[1] = 1.0E-7; - dt[2] = 0.0; - tols = 0.1; - tolt = 0.05; - opti[0] = mxlev; - maxlev = opti[0]; - Arrays.fill(opti, 1, 4, 0); - Arrays.fill(optr, 1.0); - - // Call main routine - for (int iout = 1; iout <= 2; iout++) { - do_monitr = (iout == 2); - tout = TWANT[iout - 1]; - - ifail = 0; - d03rb.eval( - NPDE, ts, tout, dt, tols, tolt, inidom, pdedef, bndary, pdeiv, - monitr, opti, optr, rwk, lenrwk, iwk, leniwk, lwk, lenlwk, - ITRACE, ind, ifail - ); - ind = d03rb.getIND(); - ifail = d03rb.getIFAIL(); - ts = d03rb.getTS(); - - if (print_stats != 0) { - System.out.printf(" Statistics:\n"); - System.out.printf(" Time = %8.4f\n", ts); - System.out.printf( - " Total number of accepted timesteps =%5d\n", iwk[0] - ); - System.out.printf( - " Total number of rejected timesteps =%5d\n", iwk[1] - ); - System.out.println( - " Total number of " - + " maximum number of " - ); - System.out.println( - " Residual Jacobian Newton Newton " - ); - System.out.println( - " evals evals iters iters " - ); - System.out.println(" Level "); - - maxlev = opti[0]; - for (int j = 0; j < maxlev; j++) { - if (iwk[j+2] != 0) { - System.out.printf( - "%4d%10d%10d%10d%10d\n", - j+1, - iwk[j + 2 + 0*maxlev], - iwk[j + 2 + 1*maxlev], - iwk[j + 2 + 2*maxlev], - iwk[j + 2 + 4*maxlev] - ); - } - } - System.out.println(); - - } - - } - - } - - public static class PDEIV extends D03RB.Abstract_D03RB_PDEIV { - - public void eval(int NPTS, int NPDE, double T, double[] X, double[] Y, double[] U) { - this.setNPTS(NPTS); - this.setNPDE(NPDE); - this.setT(T); - this.setX(X); - this.setY(Y); - this.setU(U); - this.eval(); - } - - public void eval() { - double eps = 0.001, a; - - for (int i = 1; i <= this.NPTS; i++) { - a = (4.0 * (this.Y[i-1] - this.X[i-1]) - this.T) / (32.0 * eps); - if (a <= 0.0) { - this.U[getIdx(i, 1, this.NPTS)] - = 0.75 - 0.25 / (1.0 + Math.exp(a)); - this.U[getIdx(i, 2, this.NPTS)] - = 0.75 + 0.25 / (1.0 + Math.exp(a)); - } - else { - a = -a; - this.U[getIdx(i, 1, this.NPTS)] - = 0.75 - 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); - this.U[getIdx(i, 2, this.NPTS)] - = 0.75 + 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); - } - } - - } - - } - - public static class INIDOM extends D03RB.Abstract_D03RB_INIDOM { - - public void eval() { - int ifail, leniwk; - int[] icold, ilbndd, irowd, lbndd, llbndd, lrowd; - int[] iwk = new int[122]; - String[] pgrid = new String[11]; - - for (int i = 0; i < 11; i++) { - pgrid[i] = " "; - } - - icold = new int[]{ - 0,1,2,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5, - 6,7,8,9,10,0,1,2,3,4,5,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4, - 5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,0,1,2,3,4, - 5,6,7,8,0,1,2,3,4,5,6,7,8 - }; - - ilbndd = new int[]{ - 1,2,3,4,1,4,1,2,3,4,3,4,1,2,12,23,34,41,14,41,12,23,34,41,43,14, - 21,32 - }; - - irowd = new int[]{0,1,2,3,4,5,6,7,8,9,10}; - - lbndd = new int[]{ - 2,4,15,26,37,46,57,68,79,88,98,99,100,101,102,103,104,96,86,85, - 84,83,82,70,59,48,39,28,17,6,8,9,10,11,12,13,18,29,40,49,60,72, - 73,74,75,76,77,67,56,45,36,25,33,32,42,52,53,43,1,97,105,87,81, - 3,7,71,78,14,31,51,54,34 - }; - - llbndd = new int[]{ - 1,2,11,18,19,24,31,37,42,48,53,55,56,58,59,60,61,62,63,64,65,66, - 67,68,69,70,71,72 - }; - - lrowd = new int[]{1,4,15,26,37,46,57,68,79,88,97}; - - this.NX = 11; - this.NY = 11; - - // Check MAXPTS against rough estimate of NPTS. - this.NPTS = this.NX * this.NY; - if (this.MAXPTS < this.NPTS) { - this.IERR = -1; - return; - } - - this.XMIN = 0.0; - this.YMIN = 0.0; - this.XMAX = 1.0; - this.YMAX = 1.0; - - this.NROWS = 11; - this.NPTS = 105; - this.NBNDS = 28; - this.NBPTS = 72; - - for (int i = 0; i < this.NROWS; i++) { - this.LROW[i] = lrowd[i]; - this.IROW[i] = irowd[i]; - } - - for (int i = 0; i < this.NBNDS; i++) { - this.LLBND[i] = llbndd[i]; - this.ILBND[i] = ilbndd[i]; - } - - for (int i = 0; i < this.NBPTS; i++) { - this.LBND[i] = lbndd[i]; - } - - for (int i = 0; i < this.NPTS; i++) { - this.ICOL[i] = icold[i]; - } - - } - - } - - public static class PDEDEF extends D03RB.Abstract_D03RB_PDEDEF { - - public void eval() { - - double eps = 1E-3; - int n = this.NPTS; // For concise getIdx calls - - for (int i = 1; i <= n; i++) { - this.RES[getIdx(i, 1, n)] - = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 1, n)] - - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 1, n)] - + eps * (this.UXX[getIdx(i, 1, n)] - + this.UYY[getIdx(i, 1, n)]); - this.RES[getIdx(i, 2, n)] - = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 2, n)] - - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 2, n)] - + eps * (this.UXX[getIdx(i, 2, n)] - + this.UYY[getIdx(i, 2, n)]); - this.RES[getIdx(i, 1, n)] - = this.UT[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; - this.RES[getIdx(i, 2, n)] - = this.UT[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; - } - - } - - } - - public static class BNDARY extends D03RB.Abstract_D03RB_BNDARY { - - public void eval() { - - double a, eps = 1E-3; - int i, n = this.NPTS; - - for (int k = this.LLBND[0]; k <= this.NBPTS; k++) { - i = this.LBND[k - 1]; - a = (-4.0 * this.X[i - 1] + 4.0 * this.Y[i - 1] - this.T) - / (32.0 * eps); - - if (a <= 0.0) { - this.RES[getIdx(i, 1, n)] - = 0.75 - 0.25 / (1.0 + Math.exp(a)); - this.RES[getIdx(i, 2, n)] - = 0.75 + 0.25 / (1.0 + Math.exp(a)); - } - else { - a = -a; - this.RES[getIdx(i, 1, n)] - = 0.75 - (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); - this.RES[getIdx(i, 2, n)] - = 0.75 + (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); - } - - this.RES[getIdx(i, 1, n)] - = this.U[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; - this.RES[getIdx(i, 2, n)] - = this.U[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; - - } - - } - - } - - public static class MONITR extends D03RB.Abstract_D03RB_MONITR { - - public void eval() { - - D03RZ d03rz = new D03RZ(); - double aprxU, exctU, aprxV, exctV; - int maxpts = 6000; - int ifail, ipsol, npts; - double[] uex = new double[105*2], x = new double[maxpts], - y = new double[maxpts]; - - for (int level = 0; level < this.NLEV; level++) { - - if (!this.TLAST) { - break; - } - - ipsol = this.LSOL[level]; - - // Get grid information - ifail = -1; - npts = 0; - d03rz.eval( - level + 1, this.NLEV, this.XMIN, this.YMIN, this.DXB, - this.DYB, this.LGRID, this.ISTRUC, npts, x, y, maxpts, - ifail - ); - ifail = d03rz.getIFAIL(); - npts = d03rz.getNPTS(); - - if (ifail != 0) { - this.IERR = 1; - break; - } - - // Skip printing? - if (!do_monitr || (level != 0)) { - continue; - } - - // Get exact solution - pdeiv.eval(npts, this.NPDE, this.T, x, y, uex); - - System.out.println(); - System.out.printf( - " Solution at every 2nd grid point in level %d at" - + " time %8.4f:\n\n", level + 1, this.T - ); - System.out.print( - " x y approx u exact u approx v" - + " exact v\n\n" - ); - - ipsol = this.LSOL[level]; - - for (int i = 0; i < npts; i += 2) { - aprxU = this.SOL[ipsol + i]; - exctU = uex[getIdx(i+1, 1, npts)]; - aprxV = this.SOL[ipsol + npts + i]; - exctV = uex[getIdx(i+1, 2, npts)]; - System.out.printf( - " %9.2f %9.2f %9.2f %9.2f %9.2f %9.2f\n", - x[i], y[i], aprxU, exctU, aprxV, exctV - ); - } - System.out.println(); - - } - - } - - } - - /** - * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based - * Java index. - * - *

    Fortran array definition: - * a(dimX, *) - * - *

    Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return ((y-1) * dimX) + (x-1); - } - -} +import com.nag.routines.D03.D03RB; +import com.nag.routines.D03.D03RZ; +import java.util.Arrays; + +/** + * D03RB example program text. + * @author joed + */ +public class D03RBJE { + + public static final int ITRACE = -1; + public static final int NPDE = 2; + public static final double[] TWANT = {0.25, 1.0}; + + public static boolean do_monitr; + public static int print_stats = 0; + + public static BNDARY bndary = new BNDARY(); + public static INIDOM inidom = new INIDOM(); + public static MONITR monitr = new MONITR(); + public static PDEDEF pdedef = new PDEDEF(); + public static PDEIV pdeiv = new PDEIV(); + + public static void main(String[] args) { + D03RB d03rb = new D03RB(); + double tols, tolt, tout, ts; + int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, mxlev, npts; + boolean[] lwk; + double[] optr, rwk, dt = new double[3]; + int[] iwk, opti = new int[4]; + + System.out.println(" D03RBJ Example Program Results"); + + npts = 3000; + mxlev = 7; + + leniwk = 10 * npts * (5 * mxlev + 14) + 2 + 7 * mxlev; + lenlwk = 20 * npts; + lenrwk = 20 * (npts * NPDE * (5 * mxlev + 9 + 18 * NPDE) + 2 * npts); + + rwk = new double[lenrwk]; + iwk = new int[leniwk]; + lwk = new boolean[lenlwk]; + optr = new double[3 * NPDE]; + + // Specify that we are starting the integration in time + // (ind = 0 normally). + ind = 10; + + ts = 0.0; + dt[0] = 0.001; + dt[1] = 1.0E-7; + dt[2] = 0.0; + tols = 0.1; + tolt = 0.05; + opti[0] = mxlev; + maxlev = opti[0]; + Arrays.fill(opti, 1, 4, 0); + Arrays.fill(optr, 1.0); + + // Call main routine + for (int iout = 1; iout <= 2; iout++) { + do_monitr = (iout == 2); + tout = TWANT[iout - 1]; + + ifail = 0; + d03rb.eval( + NPDE, ts, tout, dt, tols, tolt, inidom, pdedef, bndary, pdeiv, + monitr, opti, optr, rwk, lenrwk, iwk, leniwk, lwk, lenlwk, + ITRACE, ind, ifail + ); + ind = d03rb.getIND(); + ifail = d03rb.getIFAIL(); + ts = d03rb.getTS(); + + if (print_stats != 0) { + System.out.printf(" Statistics:\n"); + System.out.printf(" Time = %8.4f\n", ts); + System.out.printf( + " Total number of accepted timesteps =%5d\n", iwk[0] + ); + System.out.printf( + " Total number of rejected timesteps =%5d\n", iwk[1] + ); + System.out.println( + " Total number of " + + " maximum number of " + ); + System.out.println( + " Residual Jacobian Newton Newton " + ); + System.out.println( + " evals evals iters iters " + ); + System.out.println(" Level "); + + maxlev = opti[0]; + for (int j = 0; j < maxlev; j++) { + if (iwk[j+2] != 0) { + System.out.printf( + "%4d%10d%10d%10d%10d\n", + j+1, + iwk[j + 2 + 0*maxlev], + iwk[j + 2 + 1*maxlev], + iwk[j + 2 + 2*maxlev], + iwk[j + 2 + 4*maxlev] + ); + } + } + System.out.println(); + + } + + } + + } + + public static class PDEIV extends D03RB.Abstract_D03RB_PDEIV { + + public void eval(int NPTS, int NPDE, double T, double[] X, double[] Y, double[] U) { + this.setNPTS(NPTS); + this.setNPDE(NPDE); + this.setT(T); + this.setX(X); + this.setY(Y); + this.setU(U); + this.eval(); + } + + public void eval() { + double eps = 0.001, a; + + for (int i = 1; i <= this.NPTS; i++) { + a = (4.0 * (this.Y[i-1] - this.X[i-1]) - this.T) / (32.0 * eps); + if (a <= 0.0) { + this.U[getIdx(i, 1, this.NPTS)] + = 0.75 - 0.25 / (1.0 + Math.exp(a)); + this.U[getIdx(i, 2, this.NPTS)] + = 0.75 + 0.25 / (1.0 + Math.exp(a)); + } + else { + a = -a; + this.U[getIdx(i, 1, this.NPTS)] + = 0.75 - 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); + this.U[getIdx(i, 2, this.NPTS)] + = 0.75 + 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); + } + } + + } + + } + + public static class INIDOM extends D03RB.Abstract_D03RB_INIDOM { + + public void eval() { + int ifail, leniwk; + int[] icold, ilbndd, irowd, lbndd, llbndd, lrowd; + int[] iwk = new int[122]; + String[] pgrid = new String[11]; + + for (int i = 0; i < 11; i++) { + pgrid[i] = " "; + } + + icold = new int[]{ + 0,1,2,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5, + 6,7,8,9,10,0,1,2,3,4,5,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4, + 5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,0,1,2,3,4, + 5,6,7,8,0,1,2,3,4,5,6,7,8 + }; + + ilbndd = new int[]{ + 1,2,3,4,1,4,1,2,3,4,3,4,1,2,12,23,34,41,14,41,12,23,34,41,43,14, + 21,32 + }; + + irowd = new int[]{0,1,2,3,4,5,6,7,8,9,10}; + + lbndd = new int[]{ + 2,4,15,26,37,46,57,68,79,88,98,99,100,101,102,103,104,96,86,85, + 84,83,82,70,59,48,39,28,17,6,8,9,10,11,12,13,18,29,40,49,60,72, + 73,74,75,76,77,67,56,45,36,25,33,32,42,52,53,43,1,97,105,87,81, + 3,7,71,78,14,31,51,54,34 + }; + + llbndd = new int[]{ + 1,2,11,18,19,24,31,37,42,48,53,55,56,58,59,60,61,62,63,64,65,66, + 67,68,69,70,71,72 + }; + + lrowd = new int[]{1,4,15,26,37,46,57,68,79,88,97}; + + this.NX = 11; + this.NY = 11; + + // Check MAXPTS against rough estimate of NPTS. + this.NPTS = this.NX * this.NY; + if (this.MAXPTS < this.NPTS) { + this.IERR = -1; + return; + } + + this.XMIN = 0.0; + this.YMIN = 0.0; + this.XMAX = 1.0; + this.YMAX = 1.0; + + this.NROWS = 11; + this.NPTS = 105; + this.NBNDS = 28; + this.NBPTS = 72; + + for (int i = 0; i < this.NROWS; i++) { + this.LROW[i] = lrowd[i]; + this.IROW[i] = irowd[i]; + } + + for (int i = 0; i < this.NBNDS; i++) { + this.LLBND[i] = llbndd[i]; + this.ILBND[i] = ilbndd[i]; + } + + for (int i = 0; i < this.NBPTS; i++) { + this.LBND[i] = lbndd[i]; + } + + for (int i = 0; i < this.NPTS; i++) { + this.ICOL[i] = icold[i]; + } + + } + + } + + public static class PDEDEF extends D03RB.Abstract_D03RB_PDEDEF { + + public void eval() { + + double eps = 1E-3; + int n = this.NPTS; // For concise getIdx calls + + for (int i = 1; i <= n; i++) { + this.RES[getIdx(i, 1, n)] + = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 1, n)] + - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 1, n)] + + eps * (this.UXX[getIdx(i, 1, n)] + + this.UYY[getIdx(i, 1, n)]); + this.RES[getIdx(i, 2, n)] + = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 2, n)] + - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 2, n)] + + eps * (this.UXX[getIdx(i, 2, n)] + + this.UYY[getIdx(i, 2, n)]); + this.RES[getIdx(i, 1, n)] + = this.UT[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; + this.RES[getIdx(i, 2, n)] + = this.UT[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; + } + + } + + } + + public static class BNDARY extends D03RB.Abstract_D03RB_BNDARY { + + public void eval() { + + double a, eps = 1E-3; + int i, n = this.NPTS; + + for (int k = this.LLBND[0]; k <= this.NBPTS; k++) { + i = this.LBND[k - 1]; + a = (-4.0 * this.X[i - 1] + 4.0 * this.Y[i - 1] - this.T) + / (32.0 * eps); + + if (a <= 0.0) { + this.RES[getIdx(i, 1, n)] + = 0.75 - 0.25 / (1.0 + Math.exp(a)); + this.RES[getIdx(i, 2, n)] + = 0.75 + 0.25 / (1.0 + Math.exp(a)); + } + else { + a = -a; + this.RES[getIdx(i, 1, n)] + = 0.75 - (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); + this.RES[getIdx(i, 2, n)] + = 0.75 + (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); + } + + this.RES[getIdx(i, 1, n)] + = this.U[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; + this.RES[getIdx(i, 2, n)] + = this.U[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; + + } + + } + + } + + public static class MONITR extends D03RB.Abstract_D03RB_MONITR { + + public void eval() { + + D03RZ d03rz = new D03RZ(); + double aprxU, exctU, aprxV, exctV; + int maxpts = 6000; + int ifail, ipsol, npts; + double[] uex = new double[105*2], x = new double[maxpts], + y = new double[maxpts]; + + for (int level = 0; level < this.NLEV; level++) { + + if (!this.TLAST) { + break; + } + + ipsol = this.LSOL[level]; + + // Get grid information + ifail = -1; + npts = 0; + d03rz.eval( + level + 1, this.NLEV, this.XMIN, this.YMIN, this.DXB, + this.DYB, this.LGRID, this.ISTRUC, npts, x, y, maxpts, + ifail + ); + ifail = d03rz.getIFAIL(); + npts = d03rz.getNPTS(); + + if (ifail != 0) { + this.IERR = 1; + break; + } + + // Skip printing? + if (!do_monitr || (level != 0)) { + continue; + } + + // Get exact solution + pdeiv.eval(npts, this.NPDE, this.T, x, y, uex); + + System.out.println(); + System.out.printf( + " Solution at every 2nd grid point in level %d at" + + " time %8.4f:\n\n", level + 1, this.T + ); + System.out.print( + " x y approx u exact u approx v" + + " exact v\n\n" + ); + + ipsol = this.LSOL[level]; + + for (int i = 0; i < npts; i += 2) { + aprxU = this.SOL[ipsol + i]; + exctU = uex[getIdx(i+1, 1, npts)]; + aprxV = this.SOL[ipsol + npts + i]; + exctV = uex[getIdx(i+1, 2, npts)]; + System.out.printf( + " %9.2f %9.2f %9.2f %9.2f %9.2f %9.2f\n", + x[i], y[i], aprxU, exctU, aprxV, exctV + ); + } + System.out.println(); + + } + + } + + } + + /** + * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based + * Java index. + * + *

    Fortran array definition: + * a(dimX, *) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + +} diff --git a/simple_examples/F01ELJE.java b/simple_examples/F01ELJE.java index 93ffe77..9986c6c 100644 --- a/simple_examples/F01ELJE.java +++ b/simple_examples/F01ELJE.java @@ -1,89 +1,89 @@ -import com.nag.routines.F01.F01EL; -import com.nag.routines.Routine; -import com.nag.routines.X04.X04CA; -import com.nag.types.NAGComplex; -import com.nag.types.NAGComplexInterface; -import java.util.Arrays; - -/** - * F01EL example program text. - * @author joed - */ -public class F01ELJE { - - public static void main(String[] args) { - - F01EL f01el = new F01EL(); - X04CA x04ca = new X04CA(); - - FCos2 fcos2 = new FCos2(); - double imnorm; - int i, ifail, iflag, lda, n; - double[] a, ruser = new double[1]; - int[] iuser = new int[1]; - - Routine.setComplex(new NAGComplex()); - - System.out.println(" F01ELJ Example Program Results"); - System.out.println(); - - // Problem data - n = 4; - a = new double[] { - 3.0, -1.0, 0.0, 2.0, 0.0, 1.0, 2.0, 1.0, 1.0, 3.0, 2.0, -1.0, 2.0, 1.0, 1.0, 1.0 - }; - - // Find f(A) - lda = n; - iflag = 0; - imnorm = 0; - ifail = 0; - f01el.eval(n, a, lda, fcos2, iuser, ruser, iflag, imnorm, ifail); - - // Print solution - ifail = 0; - x04ca.eval("G", "N", n, n, a, lda, "F(A) = COS(2A)", ifail); - - // Print the norm of the imaginary part to check it is small - System.out.println(); - System.out.println(" Imnorm = " + imnorm); - - } - - public static class FCos2 extends F01EL.Abstract_F01EL_F { - - /* These methods should really be part of an extension of NAGComplex. */ - - private NAGComplex complexCos(NAGComplexInterface z) { - NAGComplex cosz = new NAGComplex(); - cosz.setRe(Math.cos(z.getRe()) * Math.cosh(z.getIm())); - cosz.setIm(-Math.sin(z.getRe()) * Math.sinh(z.getIm())); - return cosz; - } - - private NAGComplex complexMult(NAGComplexInterface a, NAGComplexInterface b) { - NAGComplex ab = new NAGComplex(); - ab.setRe((a.getRe()*b.getRe()) - (a.getIm()*b.getIm())); - ab.setIm((a.getRe()*b.getIm()) + (a.getIm()*b.getRe())); - return ab; - } - - /* Calculate F(A) = COS(2A) */ - - public void eval() { - - NAGComplex two = new NAGComplex(); - two.setRe(2.0); - two.setIm(0.0); - - for (int i = 0; i < this.NZ; i++) { - this.FZ[i] = (NAGComplex) complexCos(complexMult(two, this.Z[i])); - } - - this.IFLAG = 0; - - } - - } - -} +import com.nag.routines.F01.F01EL; +import com.nag.routines.Routine; +import com.nag.routines.X04.X04CA; +import com.nag.types.NAGComplex; +import com.nag.types.NAGComplexInterface; +import java.util.Arrays; + +/** + * F01EL example program text. + * @author joed + */ +public class F01ELJE { + + public static void main(String[] args) { + + F01EL f01el = new F01EL(); + X04CA x04ca = new X04CA(); + + FCos2 fcos2 = new FCos2(); + double imnorm; + int i, ifail, iflag, lda, n; + double[] a, ruser = new double[1]; + int[] iuser = new int[1]; + + Routine.setComplex(new NAGComplex()); + + System.out.println(" F01ELJ Example Program Results"); + System.out.println(); + + // Problem data + n = 4; + a = new double[] { + 3.0, -1.0, 0.0, 2.0, 0.0, 1.0, 2.0, 1.0, 1.0, 3.0, 2.0, -1.0, 2.0, 1.0, 1.0, 1.0 + }; + + // Find f(A) + lda = n; + iflag = 0; + imnorm = 0; + ifail = 0; + f01el.eval(n, a, lda, fcos2, iuser, ruser, iflag, imnorm, ifail); + + // Print solution + ifail = 0; + x04ca.eval("G", "N", n, n, a, lda, "F(A) = COS(2A)", ifail); + + // Print the norm of the imaginary part to check it is small + System.out.println(); + System.out.println(" Imnorm = " + imnorm); + + } + + public static class FCos2 extends F01EL.Abstract_F01EL_F { + + /* These methods should really be part of an extension of NAGComplex. */ + + private NAGComplex complexCos(NAGComplexInterface z) { + NAGComplex cosz = new NAGComplex(); + cosz.setRe(Math.cos(z.getRe()) * Math.cosh(z.getIm())); + cosz.setIm(-Math.sin(z.getRe()) * Math.sinh(z.getIm())); + return cosz; + } + + private NAGComplex complexMult(NAGComplexInterface a, NAGComplexInterface b) { + NAGComplex ab = new NAGComplex(); + ab.setRe((a.getRe()*b.getRe()) - (a.getIm()*b.getIm())); + ab.setIm((a.getRe()*b.getIm()) + (a.getIm()*b.getRe())); + return ab; + } + + /* Calculate F(A) = COS(2A) */ + + public void eval() { + + NAGComplex two = new NAGComplex(); + two.setRe(2.0); + two.setIm(0.0); + + for (int i = 0; i < this.NZ; i++) { + this.FZ[i] = (NAGComplex) complexCos(complexMult(two, this.Z[i])); + } + + this.IFLAG = 0; + + } + + } + +} diff --git a/simple_examples/F02EKJE.java b/simple_examples/F02EKJE.java index ffdced6..3737022 100644 --- a/simple_examples/F02EKJE.java +++ b/simple_examples/F02EKJE.java @@ -1,227 +1,227 @@ -import com.nag.routines.F02.F02EK; -import com.nag.routines.F12.F12AD; -import com.nag.routines.Routine; -import com.nag.routines.X02.X02AJ; -import com.nag.types.NAGComplex; -import com.nag.types.NAGComplexInterface; -import java.util.Arrays; - -/** - * F02EK example program text. - * @author joed - */ -public class F02EKJE { - - public static MYMONIT mymonit = new MYMONIT(); - public static MYOPTION myoption = new MYOPTION(); - - public static void main(String[] args) { - F02EK f02ek = new F02EK(); - X02AJ x02aj = new X02AJ(); - double h, rho, s, sigma; - int ifail, imon, k, ldv, maxit, mode, n, nconv, ncv, nev, nnz, nx, - prtlvl; - NAGComplex complex = new NAGComplex(); - double[] a, resid, v, ruser = new double[1]; - int[] icolzp, irowix, iuser = new int[4]; - NAGComplex[] w; - - Routine.setComplex(complex); - - System.out.println(" F02EKJ Example Program Results"); - System.out.println(); - - nx = 10; - nev = 4; - ncv = 20; - rho = 10.0; - sigma = 5.5; - - n = nx * nx; - nnz = 3*n - 2; - ldv = n; - - resid = new double[ncv]; - a = new double[nnz]; - icolzp = new int[n + 1]; - irowix = new int[nnz]; - w = (NAGComplex[]) complex.getArrayOfInstances(ncv); - v = new double[ldv * ncv]; - - // Construct A in compressed column storage (CCS) format where: - // A{ i , i } = 2 + i - // A{i+1, i } = 3 - // A{ i , i+1} = rho/(2n+2) - 1 - - h = 1.0 / (double)(n+1); - s = (rho * h / 2.0) - 1.0; - - a[0] = 2.0 + 1.0; - a[1] = 3.0; - icolzp[0] = 1; - irowix[0] = 1; - irowix[1] = 2; - k = 3; - - for (int i = 1; i < n - 1; i++) { - icolzp[i] = k; - irowix[k - 1] = i; - irowix[k] = i + 1; - irowix[k + 1] = i + 2; - a[k - 1] = s; - a[k] = 2.0 + (double)(i + 1); - a[k + 1] = 3.0; - k += 3; - } - - icolzp[n - 1] = k; - icolzp[n] = k + 2; - irowix[k - 1] = n - 1; - irowix[k] = n; - a[k - 1] = s; - a[k] = 2.0 + (double)(n); - - // Set some options via iuser array and return routine argument OPTION - // iuser[0] = print level - // iuser[1] = iteration limit - // iuser[2] > 0 means shifted-invert mode - // iuser[3] > 0 means print monitoring info - - prtlvl = 0; - maxit = 500; - mode = 1; - imon = 1; - - if (prtlvl > 0) { - imon = 0; - } - - iuser[0] = prtlvl; - iuser[1] = maxit; - iuser[2] = mode; - iuser[3] = imon; - - nconv = 0; // placeholder value, nconv is output only - ifail = 0; // hard exit on error - - f02ek.eval( - n, nnz, a, icolzp, irowix, nev, ncv, sigma, mymonit, myoption, - nconv, w, v, ldv, resid, iuser, ruser, ifail - ); - ifail = f02ek.getIFAIL(); - nconv = f02ek.getNCONV(); - - System.out.println(); - System.out.printf( - " The %4d Ritz values of closest to %13.5E are:\n", nconv, sigma - ); - - // Get machine precision - double mp = x02aj.eval(); - - for (int i = 0; i < nconv; i++) { - if (resid[i] > (double)(100*n*mp)) { - System.out.printf( - " %8d ( %13.5E , %13.5E ) %13.5E\n", - i + 1, w[i], resid[i] - ); - } - else { - System.out.printf( - " %8d ( %13.5E , %13.5E )\n", - i + 1, w[i].getRe(), w[i].getIm() - ); - } - } - - } - - public static class MYOPTION extends F02EK.Abstract_F02EK_OPTION { - - public void eval() { - F12AD f12ad = new F12AD(); - int ifail1; - String rec = " "; - - this.ISTAT = 0; - - if (this.IUSER[0] > 0) { - System.out.printf("Print Level=%5d\n", this.IUSER[0]); - ifail1 = 1; - f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[1] > 100) { - System.out.printf("Iteration Limit=%5d\n", this.IUSER[1]); - ifail1 = 1; - f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[2] > 0) { - ifail1 = 1; - f12ad.eval( - "Shifted Inverse Real ", this.ICOMM, this.COMM, ifail1 - ); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - } - - } - - public static class MYMONIT extends F02EK.Abstract_F02EK_MONIT { - - public NAGComplexInterface[] getW() { - return this.W; - } - - public void eval() { - - if (this.IUSER[3] > 0) { - - if (this.NITER == 1 && this.IUSER[2] > 0) { - System.out.printf( - " Arnoldi basis vectors used:%4d\n", this.NCV - ); - System.out.printf( - " The following Ritz values (mu) are related to the\n" - + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" - ); - } - - System.out.println(); - System.out.printf(" Iteration number %4d\n", this.NITER); - System.out.printf( - " Ritz values converged so far (%4d) and their Ritz" - + " estimates:\n", this.NCONV - ); - - for (int i = 0; i < this.NCONV; i++) { - System.out.printf( - " %4d (%13.5E,%13.5E) %13.5E\n", - i + 1, this.W[i].getRe(), this.W[i].getIm(), - this.RZEST[i] - ); - } - - System.out.printf(" Next (unconverged) Ritz value:\n"); - - System.out.printf( - " %4d (%13.5E,%13.5E)\n", - this.NCONV + 1, this.W[NCONV].getRe(), this.W[NCONV].getIm() - ); - - } - - this.ISTAT = 0; - - } - - } - -} +import com.nag.routines.F02.F02EK; +import com.nag.routines.F12.F12AD; +import com.nag.routines.Routine; +import com.nag.routines.X02.X02AJ; +import com.nag.types.NAGComplex; +import com.nag.types.NAGComplexInterface; +import java.util.Arrays; + +/** + * F02EK example program text. + * @author joed + */ +public class F02EKJE { + + public static MYMONIT mymonit = new MYMONIT(); + public static MYOPTION myoption = new MYOPTION(); + + public static void main(String[] args) { + F02EK f02ek = new F02EK(); + X02AJ x02aj = new X02AJ(); + double h, rho, s, sigma; + int ifail, imon, k, ldv, maxit, mode, n, nconv, ncv, nev, nnz, nx, + prtlvl; + NAGComplex complex = new NAGComplex(); + double[] a, resid, v, ruser = new double[1]; + int[] icolzp, irowix, iuser = new int[4]; + NAGComplex[] w; + + Routine.setComplex(complex); + + System.out.println(" F02EKJ Example Program Results"); + System.out.println(); + + nx = 10; + nev = 4; + ncv = 20; + rho = 10.0; + sigma = 5.5; + + n = nx * nx; + nnz = 3*n - 2; + ldv = n; + + resid = new double[ncv]; + a = new double[nnz]; + icolzp = new int[n + 1]; + irowix = new int[nnz]; + w = (NAGComplex[]) complex.getArrayOfInstances(ncv); + v = new double[ldv * ncv]; + + // Construct A in compressed column storage (CCS) format where: + // A{ i , i } = 2 + i + // A{i+1, i } = 3 + // A{ i , i+1} = rho/(2n+2) - 1 + + h = 1.0 / (double)(n+1); + s = (rho * h / 2.0) - 1.0; + + a[0] = 2.0 + 1.0; + a[1] = 3.0; + icolzp[0] = 1; + irowix[0] = 1; + irowix[1] = 2; + k = 3; + + for (int i = 1; i < n - 1; i++) { + icolzp[i] = k; + irowix[k - 1] = i; + irowix[k] = i + 1; + irowix[k + 1] = i + 2; + a[k - 1] = s; + a[k] = 2.0 + (double)(i + 1); + a[k + 1] = 3.0; + k += 3; + } + + icolzp[n - 1] = k; + icolzp[n] = k + 2; + irowix[k - 1] = n - 1; + irowix[k] = n; + a[k - 1] = s; + a[k] = 2.0 + (double)(n); + + // Set some options via iuser array and return routine argument OPTION + // iuser[0] = print level + // iuser[1] = iteration limit + // iuser[2] > 0 means shifted-invert mode + // iuser[3] > 0 means print monitoring info + + prtlvl = 0; + maxit = 500; + mode = 1; + imon = 1; + + if (prtlvl > 0) { + imon = 0; + } + + iuser[0] = prtlvl; + iuser[1] = maxit; + iuser[2] = mode; + iuser[3] = imon; + + nconv = 0; // placeholder value, nconv is output only + ifail = 0; // hard exit on error + + f02ek.eval( + n, nnz, a, icolzp, irowix, nev, ncv, sigma, mymonit, myoption, + nconv, w, v, ldv, resid, iuser, ruser, ifail + ); + ifail = f02ek.getIFAIL(); + nconv = f02ek.getNCONV(); + + System.out.println(); + System.out.printf( + " The %4d Ritz values of closest to %13.5E are:\n", nconv, sigma + ); + + // Get machine precision + double mp = x02aj.eval(); + + for (int i = 0; i < nconv; i++) { + if (resid[i] > (double)(100*n*mp)) { + System.out.printf( + " %8d ( %13.5E , %13.5E ) %13.5E\n", + i + 1, w[i], resid[i] + ); + } + else { + System.out.printf( + " %8d ( %13.5E , %13.5E )\n", + i + 1, w[i].getRe(), w[i].getIm() + ); + } + } + + } + + public static class MYOPTION extends F02EK.Abstract_F02EK_OPTION { + + public void eval() { + F12AD f12ad = new F12AD(); + int ifail1; + String rec = " "; + + this.ISTAT = 0; + + if (this.IUSER[0] > 0) { + System.out.printf("Print Level=%5d\n", this.IUSER[0]); + ifail1 = 1; + f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[1] > 100) { + System.out.printf("Iteration Limit=%5d\n", this.IUSER[1]); + ifail1 = 1; + f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[2] > 0) { + ifail1 = 1; + f12ad.eval( + "Shifted Inverse Real ", this.ICOMM, this.COMM, ifail1 + ); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + } + + } + + public static class MYMONIT extends F02EK.Abstract_F02EK_MONIT { + + public NAGComplexInterface[] getW() { + return this.W; + } + + public void eval() { + + if (this.IUSER[3] > 0) { + + if (this.NITER == 1 && this.IUSER[2] > 0) { + System.out.printf( + " Arnoldi basis vectors used:%4d\n", this.NCV + ); + System.out.printf( + " The following Ritz values (mu) are related to the\n" + + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" + ); + } + + System.out.println(); + System.out.printf(" Iteration number %4d\n", this.NITER); + System.out.printf( + " Ritz values converged so far (%4d) and their Ritz" + + " estimates:\n", this.NCONV + ); + + for (int i = 0; i < this.NCONV; i++) { + System.out.printf( + " %4d (%13.5E,%13.5E) %13.5E\n", + i + 1, this.W[i].getRe(), this.W[i].getIm(), + this.RZEST[i] + ); + } + + System.out.printf(" Next (unconverged) Ritz value:\n"); + + System.out.printf( + " %4d (%13.5E,%13.5E)\n", + this.NCONV + 1, this.W[NCONV].getRe(), this.W[NCONV].getIm() + ); + + } + + this.ISTAT = 0; + + } + + } + +} diff --git a/simple_examples/F02FKJE.java b/simple_examples/F02FKJE.java index ecdac2e..0dd7ab9 100644 --- a/simple_examples/F02FKJE.java +++ b/simple_examples/F02FKJE.java @@ -1,230 +1,230 @@ -import com.nag.routines.F02.F02FK; -import com.nag.routines.F12.F12FD; -import com.nag.routines.X04.X04AB; -import com.nag.routines.X04.X04CA; -import java.util.Arrays; - -/** - * F02FK example program text. - * @author joed - */ -public class F02FKJE { - - public static MYMONIT mymonit = new MYMONIT(); - public static MYOPTION myoption = new MYOPTION(); - - public static void main(String[] args) { - F02FK f02fk = new F02FK(); - X04AB x04ab = new X04AB(); - X04CA x04ca = new X04CA(); - double h2, sigma; - int iset = 1, ifail, imon, k, ldv, lo, maxit, mode, n, nconv, ncv, nev, - nnz, nx, outchn, prtlvl; - double[] a, dPrint, resid, v, w, ruser = new double[1]; - int[] icol, irow, iuser = new int[4]; - - - System.out.println(" F02FKJ Example Program Results"); - System.out.println(); - - nx = 20; - nev = 8; - ncv = 20; - sigma = 1.0; - - // Construct the matrix A in sparse form and store in A. - // The main diagonal of A is full and there are two subdiagonals of A: - // the first and the nx-th. - - n = nx * nx; - nnz = (3 * n) - (2 * nx); - a = new double[nnz]; - irow = new int[nnz]; - icol = new int[nnz]; - - // Zero out A. - Arrays.fill(a, 0.0); - - // Main diagonal of A. - h2 = 1.0 / (double)((nx + 1) * (nx + 1)); - for (int i = 1; i <= n; i++) { - irow[i - 1] = i; - icol[i - 1] = i; - a[i - 1] = 4.0 / h2; - } - - // First subdiagonal of A. - k = n; - for (int i = 1; i <= nx; i++) { - lo = (i - 1) * nx; - for (int j = lo + 1; j <= lo + nx - 1; j++) { - k += 1; - irow[k - 1] = j + 1; - icol[k - 1] = j; - a[k - 1] = -1.0 / h2; - } - } - - // nx-th subdiagonal. - for (int i = 1; i <= nx - 1; i++) { - lo = (i - 1) * nx; - for (int j = lo + 1; j <= lo + nx; j++) { - k += 1; - irow[k - 1] = j + nx; - icol[k - 1] = j; - a[k - 1] = -1.0 / h2; - } - } - - // Set some options via iuser array and routine argument OPTION. - // iuser[0] = print level, - // iuser[1] = iteration limit, - // iuser[2]>0 means shifted-invert mode - // iuser[3]>0 means print monitoring info - - prtlvl = 0; - maxit = 500; - mode = 1; - imon = 0; - - ruser[0] = 1.0; - iuser[0] = prtlvl; - iuser[1] = maxit; - iuser[2] = mode; - iuser[3] = imon; - - // Find eigenvalues of largest magnitude and the corresponding - // eigenvectors. - - ldv = n; - w = new double[ncv]; - v = new double[ldv * ncv]; - resid = new double[n]; - - nconv = 0; // placeholder - - ifail = -1; - f02fk.eval( - n, nnz, a, irow, icol, nev, ncv, sigma, mymonit, myoption, nconv, - w, v, ldv, resid, iuser, ruser, ifail - ); - ifail = f02fk.getIFAIL(); - nconv = f02fk.getNCONV(); - if (ifail != 0) { - System.err.println(" ** F02FK returned with IFAIL = " + ifail); - } - - - - // Print Eigenvalues and the residual norm ||A*x - lambda*x||. - dPrint = new double[nconv * 2]; - for (int i = 1; i <= nconv; i++) { - dPrint[getIdx(i, 1, nconv)] = w[i - 1]; - dPrint[getIdx(i, 2, nconv)] = resid[i - 1]; - } - - System.out.println(); - - ifail = 0; - x04ca.eval( - "G", "N", nconv, 2, dPrint, nconv, " Ritz values and residuals", - ifail - ); - - } - - public static class MYOPTION extends F02FK.Abstract_F02FK_OPTION { - - public void eval() { - F12FD f12fd = new F12FD(); - int ifail1; - String rec = " "; // Required len = 25 - - this.ISTAT = 0; - - if (this.IUSER[0] > 0) { - System.out.printf(" Print Level=%5d\n", this.IUSER[0]); - ifail1 = 1; - f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12fd.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[1] > 100) { - System.out.printf(" Iteration Limit=%5d\n", this.IUSER[1]); - ifail1 = 1; - f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12fd.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[2] > 0) { - ifail1 = 1; - f12fd.eval( - "Shifted Inverse ", this.ICOMM, this.COMM, ifail1 - ); - ifail1 = f12fd.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - } - - } - - public static class MYMONIT extends F02FK.Abstract_F02FK_MONIT { - - public void eval() { - - if (this.IUSER[3] > 0) { - - if (this.NITER == 1 && this.IUSER[2] > 0) { - System.out.printf( - " Arnoldi basis vectors used:%4d\n", this.NCV - ); - System.out.printf( - " The following Ritz values (mu) are related to the\n" - + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" - ); - } - - System.out.println(); - System.out.printf(" Iteration number %4d\n", this.NITER); - System.out.printf( - " Ritz values converged so far(%4d) and their Ritz" - + " estimates:\n", this.NCONV - ); - - for (int i = 0; i < this.NCONV; i++) { - System.out.printf( - " %4d %13.5E %13.5E\n", i+1, this.W[i], this.RZEST[i] - ); - } - - System.out.printf(" Next (uncoverged) Ritz value:\n"); - System.out.printf( - " %4d %13.5E\n", this.NCONV + 1, this.W[this.NCONV + 1] - ); - - } - - this.ISTAT = 0; - - } - - } - - /** - * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based - * Java index. - * - *

    Fortran array definition: - * a(dimX, *) - * - *

    Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return ((y-1) * dimX) + (x-1); - } - -} +import com.nag.routines.F02.F02FK; +import com.nag.routines.F12.F12FD; +import com.nag.routines.X04.X04AB; +import com.nag.routines.X04.X04CA; +import java.util.Arrays; + +/** + * F02FK example program text. + * @author joed + */ +public class F02FKJE { + + public static MYMONIT mymonit = new MYMONIT(); + public static MYOPTION myoption = new MYOPTION(); + + public static void main(String[] args) { + F02FK f02fk = new F02FK(); + X04AB x04ab = new X04AB(); + X04CA x04ca = new X04CA(); + double h2, sigma; + int iset = 1, ifail, imon, k, ldv, lo, maxit, mode, n, nconv, ncv, nev, + nnz, nx, outchn, prtlvl; + double[] a, dPrint, resid, v, w, ruser = new double[1]; + int[] icol, irow, iuser = new int[4]; + + + System.out.println(" F02FKJ Example Program Results"); + System.out.println(); + + nx = 20; + nev = 8; + ncv = 20; + sigma = 1.0; + + // Construct the matrix A in sparse form and store in A. + // The main diagonal of A is full and there are two subdiagonals of A: + // the first and the nx-th. + + n = nx * nx; + nnz = (3 * n) - (2 * nx); + a = new double[nnz]; + irow = new int[nnz]; + icol = new int[nnz]; + + // Zero out A. + Arrays.fill(a, 0.0); + + // Main diagonal of A. + h2 = 1.0 / (double)((nx + 1) * (nx + 1)); + for (int i = 1; i <= n; i++) { + irow[i - 1] = i; + icol[i - 1] = i; + a[i - 1] = 4.0 / h2; + } + + // First subdiagonal of A. + k = n; + for (int i = 1; i <= nx; i++) { + lo = (i - 1) * nx; + for (int j = lo + 1; j <= lo + nx - 1; j++) { + k += 1; + irow[k - 1] = j + 1; + icol[k - 1] = j; + a[k - 1] = -1.0 / h2; + } + } + + // nx-th subdiagonal. + for (int i = 1; i <= nx - 1; i++) { + lo = (i - 1) * nx; + for (int j = lo + 1; j <= lo + nx; j++) { + k += 1; + irow[k - 1] = j + nx; + icol[k - 1] = j; + a[k - 1] = -1.0 / h2; + } + } + + // Set some options via iuser array and routine argument OPTION. + // iuser[0] = print level, + // iuser[1] = iteration limit, + // iuser[2]>0 means shifted-invert mode + // iuser[3]>0 means print monitoring info + + prtlvl = 0; + maxit = 500; + mode = 1; + imon = 0; + + ruser[0] = 1.0; + iuser[0] = prtlvl; + iuser[1] = maxit; + iuser[2] = mode; + iuser[3] = imon; + + // Find eigenvalues of largest magnitude and the corresponding + // eigenvectors. + + ldv = n; + w = new double[ncv]; + v = new double[ldv * ncv]; + resid = new double[n]; + + nconv = 0; // placeholder + + ifail = -1; + f02fk.eval( + n, nnz, a, irow, icol, nev, ncv, sigma, mymonit, myoption, nconv, + w, v, ldv, resid, iuser, ruser, ifail + ); + ifail = f02fk.getIFAIL(); + nconv = f02fk.getNCONV(); + if (ifail != 0) { + System.err.println(" ** F02FK returned with IFAIL = " + ifail); + } + + + + // Print Eigenvalues and the residual norm ||A*x - lambda*x||. + dPrint = new double[nconv * 2]; + for (int i = 1; i <= nconv; i++) { + dPrint[getIdx(i, 1, nconv)] = w[i - 1]; + dPrint[getIdx(i, 2, nconv)] = resid[i - 1]; + } + + System.out.println(); + + ifail = 0; + x04ca.eval( + "G", "N", nconv, 2, dPrint, nconv, " Ritz values and residuals", + ifail + ); + + } + + public static class MYOPTION extends F02FK.Abstract_F02FK_OPTION { + + public void eval() { + F12FD f12fd = new F12FD(); + int ifail1; + String rec = " "; // Required len = 25 + + this.ISTAT = 0; + + if (this.IUSER[0] > 0) { + System.out.printf(" Print Level=%5d\n", this.IUSER[0]); + ifail1 = 1; + f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12fd.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[1] > 100) { + System.out.printf(" Iteration Limit=%5d\n", this.IUSER[1]); + ifail1 = 1; + f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12fd.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[2] > 0) { + ifail1 = 1; + f12fd.eval( + "Shifted Inverse ", this.ICOMM, this.COMM, ifail1 + ); + ifail1 = f12fd.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + } + + } + + public static class MYMONIT extends F02FK.Abstract_F02FK_MONIT { + + public void eval() { + + if (this.IUSER[3] > 0) { + + if (this.NITER == 1 && this.IUSER[2] > 0) { + System.out.printf( + " Arnoldi basis vectors used:%4d\n", this.NCV + ); + System.out.printf( + " The following Ritz values (mu) are related to the\n" + + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" + ); + } + + System.out.println(); + System.out.printf(" Iteration number %4d\n", this.NITER); + System.out.printf( + " Ritz values converged so far(%4d) and their Ritz" + + " estimates:\n", this.NCONV + ); + + for (int i = 0; i < this.NCONV; i++) { + System.out.printf( + " %4d %13.5E %13.5E\n", i+1, this.W[i], this.RZEST[i] + ); + } + + System.out.printf(" Next (uncoverged) Ritz value:\n"); + System.out.printf( + " %4d %13.5E\n", this.NCONV + 1, this.W[this.NCONV + 1] + ); + + } + + this.ISTAT = 0; + + } + + } + + /** + * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based + * Java index. + * + *

    Fortran array definition: + * a(dimX, *) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + +} diff --git a/simple_examples/F02WGJE.java b/simple_examples/F02WGJE.java index 5e077cb..36c26c6 100644 --- a/simple_examples/F02WGJE.java +++ b/simple_examples/F02WGJE.java @@ -1,132 +1,132 @@ -import com.nag.routines.F02.F02WG; -import java.util.Arrays; - -/** - * F02WG example program text. - * @author joed - */ -public class F02WGJE { - - public static AV av = new AV(); - - public static void main(String[] args) { - int ifail, k, ldu, ldv, m, n, nconv, ncv; - double[] resid, sigma, u, v; - double[] ruser = new double[1]; - int[] iuser = new int[1]; - - /* Set up wrappers */ - F02WG f02wg = new F02WG(); - - System.out.println(" F02WGJ Example Program Results\n"); - - /* Set F02WG args */ - m = 100; - n = 500; - k = 4; - ncv = 10; - nconv = 0; - ldu = m; - ldv = n; - resid = new double[ncv]; - sigma = new double[ncv]; - u = new double[ldu * ncv]; - v = new double[ldv * ncv]; - ifail = 0; - - /* Call routine */ - f02wg.eval( - m, // Rows in A - n, // Cols in A - k, // Num. of singular values to be computed - ncv, // Dimension of sigma and resid - av, // Subroutine that returns Ax or (A^T)x - nconv, // [Output] - sigma, // [Output] - u, // [Output] - ldu, // 1st dimension of u - v, // [Output] - ldv, // 1st dimension of v - resid, // [Output] - iuser, - ruser, - ifail - ); - - /* Get non-array output args */ - ifail = f02wg.getIFAIL(); - nconv = f02wg.getNCONV(); - - /* Print results */ - System.out.println(" Singular Value Residual"); - for (int i = 0; i < nconv; i++) { - System.out.printf( - " %10.5f %10.2G\n", sigma[i], resid[i] - ); - } - - } - - public static class AV extends F02WG.Abstract_F02WG_AV { - - public void eval() { - - double H = 1.0 / ((double)(this.M + 1)); - double K = 1.0 / ((double)(this.N + 1)); - - if (this.IFLAG == 1) { - - for (int i = 0; i < this.M; i++) { - this.AX[i] = 0.0; - } - - double S = 0.0; - double T = 0.0; - - for (int j = 0; j < this.N; j++) { - T += K; - S = 0.0; - - for (int i = 0; i < Math.min(j+1, this.M); i++) { - S += H; - this.AX[i] += K * S * (T - 1.0) * this.X[j]; - } - for (int i = j + 1; i < this.M; i++) { - S += H; - this.AX[i] += K * T * (S - 1.0) * this.X[j]; - } - - } - - } - else { - - for (int i = 0; i < this.N; i++) { - this.AX[i] = 0.0; - } - - double S = 0.0; - double T = 0.0; - - for (int j = 0; j < this.N; j++) { - T += K; - S = 0.0; - - for (int i = 0; i < Math.min(j+1, this.M); i++) { - S += H; - this.AX[j] += K * S * (T - 1.0) * this.X[i]; - } - for (int i = j + 1; i < this.M; i++) { - S += H; - this.AX[j] += K * T * (S - 1.0) * this.X[i]; - } - - } - - } - - } - - } - -} +import com.nag.routines.F02.F02WG; +import java.util.Arrays; + +/** + * F02WG example program text. + * @author joed + */ +public class F02WGJE { + + public static AV av = new AV(); + + public static void main(String[] args) { + int ifail, k, ldu, ldv, m, n, nconv, ncv; + double[] resid, sigma, u, v; + double[] ruser = new double[1]; + int[] iuser = new int[1]; + + /* Set up wrappers */ + F02WG f02wg = new F02WG(); + + System.out.println(" F02WGJ Example Program Results\n"); + + /* Set F02WG args */ + m = 100; + n = 500; + k = 4; + ncv = 10; + nconv = 0; + ldu = m; + ldv = n; + resid = new double[ncv]; + sigma = new double[ncv]; + u = new double[ldu * ncv]; + v = new double[ldv * ncv]; + ifail = 0; + + /* Call routine */ + f02wg.eval( + m, // Rows in A + n, // Cols in A + k, // Num. of singular values to be computed + ncv, // Dimension of sigma and resid + av, // Subroutine that returns Ax or (A^T)x + nconv, // [Output] + sigma, // [Output] + u, // [Output] + ldu, // 1st dimension of u + v, // [Output] + ldv, // 1st dimension of v + resid, // [Output] + iuser, + ruser, + ifail + ); + + /* Get non-array output args */ + ifail = f02wg.getIFAIL(); + nconv = f02wg.getNCONV(); + + /* Print results */ + System.out.println(" Singular Value Residual"); + for (int i = 0; i < nconv; i++) { + System.out.printf( + " %10.5f %10.2G\n", sigma[i], resid[i] + ); + } + + } + + public static class AV extends F02WG.Abstract_F02WG_AV { + + public void eval() { + + double H = 1.0 / ((double)(this.M + 1)); + double K = 1.0 / ((double)(this.N + 1)); + + if (this.IFLAG == 1) { + + for (int i = 0; i < this.M; i++) { + this.AX[i] = 0.0; + } + + double S = 0.0; + double T = 0.0; + + for (int j = 0; j < this.N; j++) { + T += K; + S = 0.0; + + for (int i = 0; i < Math.min(j+1, this.M); i++) { + S += H; + this.AX[i] += K * S * (T - 1.0) * this.X[j]; + } + for (int i = j + 1; i < this.M; i++) { + S += H; + this.AX[i] += K * T * (S - 1.0) * this.X[j]; + } + + } + + } + else { + + for (int i = 0; i < this.N; i++) { + this.AX[i] = 0.0; + } + + double S = 0.0; + double T = 0.0; + + for (int j = 0; j < this.N; j++) { + T += K; + S = 0.0; + + for (int i = 0; i < Math.min(j+1, this.M); i++) { + S += H; + this.AX[j] += K * S * (T - 1.0) * this.X[i]; + } + for (int i = j + 1; i < this.M; i++) { + S += H; + this.AX[j] += K * T * (S - 1.0) * this.X[i]; + } + + } + + } + + } + + } + +} From 3d697e15011521faf7d2e22b44929c100a6c66ec Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 15 Jan 2021 13:27:24 +0000 Subject: [PATCH 115/196] Simple Examples Synced --- simple_examples/mytemp | 0 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 simple_examples/mytemp diff --git a/simple_examples/mytemp b/simple_examples/mytemp new file mode 100644 index 0000000..e69de29 From 9689d1f7fc7f1571c753b6a5ab5cb8cd4666cce4 Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 15 Jan 2021 13:36:46 +0000 Subject: [PATCH 116/196] Simple Examples Synced --- simple_examples/mytemp | 0 1 file changed, 0 insertions(+), 0 deletions(-) delete mode 100644 simple_examples/mytemp diff --git a/simple_examples/mytemp b/simple_examples/mytemp deleted file mode 100644 index e69de29..0000000 From cc87ce5c606668667eb7bf49bf84b2427308e17c Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 15 Jan 2021 14:08:22 +0000 Subject: [PATCH 117/196] Simple Examples Synced --- simple_examples/{ => int32}/A00AAJE.java | 0 simple_examples/{ => int32}/A00ACJE.java | 0 simple_examples/{ => int32}/A00ADJE.java | 0 simple_examples/{ => int32}/C02AAJE.java | 0 simple_examples/{ => int32}/C02ABJE.java | 0 simple_examples/{ => int32}/C02AFJE.java | 0 simple_examples/{ => int32}/C02AGJE.java | 0 simple_examples/{ => int32}/C02AHJE.java | 0 simple_examples/{ => int32}/C02AJJE.java | 0 simple_examples/{ => int32}/C02AKJE.java | 0 simple_examples/{ => int32}/C02ALJE.java | 0 simple_examples/{ => int32}/C02AMJE.java | 0 simple_examples/{ => int32}/C02ANJE.java | 0 simple_examples/{ => int32}/C05AUJE.java | 0 simple_examples/{ => int32}/C05AWJE.java | 0 simple_examples/{ => int32}/C05AYJE.java | 0 simple_examples/{ => int32}/C05AZJE.java | 0 simple_examples/{ => int32}/C05BBJE.java | 0 simple_examples/{ => int32}/C05MBJE.java | 0 simple_examples/{ => int32}/C05QBJE.java | 0 simple_examples/{ => int32}/C06BAJE.java | 0 simple_examples/{ => int32}/C06FKJE.java | 0 simple_examples/{ => int32}/C09AAJE.java | 0 simple_examples/{ => int32}/D01BDJE.java | 0 simple_examples/{ => int32}/D01RJJE.java | 0 simple_examples/{ => int32}/D01RKJE.java | 0 simple_examples/{ => int32}/D01RLJE.java | 0 simple_examples/{ => int32}/D01RMJE.java | 0 simple_examples/{ => int32}/D01TCJE.java | 0 simple_examples/int32/D02NEJE.java | 388 +++++++++++++++++++++ simple_examples/int32/D02TLJE.java | 290 ++++++++++++++++ simple_examples/{ => int32}/D03PCJE.java | 0 simple_examples/int32/D03RAJE.java | 307 +++++++++++++++++ simple_examples/int32/D03RBJE.java | 388 +++++++++++++++++++++ simple_examples/{ => int32}/D05BAJE.java | 0 simple_examples/{ => int32}/D05BEJE.java | 0 simple_examples/{ => int32}/DTFSMJE.java | 0 simple_examples/{ => int32}/E01DAJE.java | 0 simple_examples/{ => int32}/E02ALJE.java | 0 simple_examples/{ => int32}/E04ABJE.java | 0 simple_examples/{ => int32}/E04BBJE.java | 0 simple_examples/{ => int32}/E04CBJE.java | 0 simple_examples/{ => int32}/E04FCJE.java | 0 simple_examples/{ => int32}/E04FFJE.java | 0 simple_examples/{ => int32}/E04GBJE.java | 0 simple_examples/{ => int32}/E04GGJE.java | 0 simple_examples/{ => int32}/E04MTJE.java | 0 simple_examples/{ => int32}/E04MXJE.java | 0 simple_examples/{ => int32}/E04NCJE.java | 0 simple_examples/{ => int32}/E04NFJE.java | 0 simple_examples/{ => int32}/E04NKJE.java | 0 simple_examples/{ => int32}/E04NQJE.java | 0 simple_examples/{ => int32}/E04PTJE.java | 0 simple_examples/{ => int32}/E04RPJE.java | 0 simple_examples/{ => int32}/E04RSJE.java | 0 simple_examples/{ => int32}/E04RTJE.java | 0 simple_examples/{ => int32}/E04SAJE.java | 0 simple_examples/{ => int32}/E04TAJE.java | 0 simple_examples/{ => int32}/E04TCJE.java | 0 simple_examples/{ => int32}/E04UCJE.java | 0 simple_examples/{ => int32}/E04YAJE.java | 0 simple_examples/{ => int32}/F01ADJE.java | 0 simple_examples/{ => int32}/F01CKJE.java | 0 simple_examples/{ => int32}/F01CRJE.java | 0 simple_examples/{ => int32}/F01DGJE.java | 0 simple_examples/int32/F01ELJE.java | 89 +++++ simple_examples/{ => int32}/F01EMJE.java | 0 simple_examples/int32/F02EKJE.java | 227 +++++++++++++ simple_examples/int32/F02FKJE.java | 230 +++++++++++++ simple_examples/int32/F02WGJE.java | 132 +++++++ simple_examples/{ => int32}/F03BAJE.java | 0 simple_examples/{ => int32}/F04AMJE.java | 0 simple_examples/{ => int32}/F04BAJE.java | 0 simple_examples/{ => int32}/F05AAJE.java | 0 simple_examples/{ => int32}/F06CLJE.java | 0 simple_examples/{ => int32}/F07AAJE.java | 0 simple_examples/{ => int32}/F07ABJE.java | 0 simple_examples/{ => int32}/F07ADJE.java | 0 simple_examples/{ => int32}/F07AQJE.java | 0 simple_examples/{ => int32}/F07FAJE.java | 0 simple_examples/{ => int32}/F07FBJE.java | 0 simple_examples/{ => int32}/F08BTJE.java | 0 simple_examples/{ => int32}/F08FAJE.java | 0 simple_examples/{ => int32}/F08XPJE.java | 0 simple_examples/{ => int32}/G01ALJE.java | 0 simple_examples/{ => int32}/G02AKJE.java | 0 simple_examples/{ => int32}/G02BJJE.java | 0 simple_examples/{ => int32}/G02BRJE.java | 0 simple_examples/{ => int32}/G02DAJE.java | 0 simple_examples/{ => int32}/G02EEJE.java | 0 simple_examples/{ => int32}/G02MAJE.java | 0 simple_examples/{ => int32}/G03GAJE.java | 0 simple_examples/{ => int32}/G05KFJE.java | 0 simple_examples/{ => int32}/G13AWJE.java | 0 simple_examples/{ => int32}/G13MEJE.java | 0 simple_examples/{ => int32}/G13NAJE.java | 0 simple_examples/{ => int32}/H02BBJE.java | 0 simple_examples/{ => int32}/H02DAJE.java | 0 simple_examples/{ => int32}/M01CCJE.java | 0 simple_examples/{ => int32}/S01BAJE.java | 0 simple_examples/{ => int32}/S10AAJE.java | 0 simple_examples/{ => int32}/S10ABJE.java | 0 simple_examples/{ => int32}/S10ACJE.java | 0 simple_examples/{ => int32}/S14ABJE.java | 0 simple_examples/{ => int32}/S14ACJE.java | 0 simple_examples/{ => int32}/S14AFJE.java | 0 simple_examples/{ => int32}/S17DCJE.java | 0 simple_examples/{ => int32}/S17DGJE.java | 0 simple_examples/{ => int32}/S30AAJE.java | 0 simple_examples/{ => int32}/S30ACJE.java | 0 simple_examples/{ => int32}/X03AAJE.java | 0 simple_examples/{ => int32}/X04CBJE.java | 0 simple_examples/{ => int32}/X05ABJE.java | 0 simple_examples/int64/A00AAJE.java | 14 + simple_examples/int64/A00ADJE.java | 113 ++++++ simple_examples/int64/C05AYJE.java | 45 +++ simple_examples/int64/C05AZJE.java | 65 ++++ simple_examples/int64/C05MBJE.java | 104 ++++++ simple_examples/int64/C05QBJE.java | 178 ++++++++++ simple_examples/int64/D01BDJE.java | 57 ++++ simple_examples/int64/D02NEJE.java | 393 +++++++++++++++++++++ simple_examples/int64/DTFSMJE.java | 61 ++++ simple_examples/int64/E01DAJE.java | 177 ++++++++++ simple_examples/int64/E04FCJE.java | 415 +++++++++++++++++++++++ simple_examples/int64/E04MTJE.java | 134 ++++++++ simple_examples/int64/E04NFJE.java | 223 ++++++++++++ simple_examples/int64/E04UCJE.java | 207 +++++++++++ simple_examples/int64/F02EKJE.java | 230 +++++++++++++ simple_examples/withdrawn/D02TKJE.java | 290 ++++++++++++++++ 129 files changed, 4757 insertions(+) rename simple_examples/{ => int32}/A00AAJE.java (100%) rename simple_examples/{ => int32}/A00ACJE.java (100%) rename simple_examples/{ => int32}/A00ADJE.java (100%) rename simple_examples/{ => int32}/C02AAJE.java (100%) rename simple_examples/{ => int32}/C02ABJE.java (100%) rename simple_examples/{ => int32}/C02AFJE.java (100%) rename simple_examples/{ => int32}/C02AGJE.java (100%) rename simple_examples/{ => int32}/C02AHJE.java (100%) rename simple_examples/{ => int32}/C02AJJE.java (100%) rename simple_examples/{ => int32}/C02AKJE.java (100%) rename simple_examples/{ => int32}/C02ALJE.java (100%) rename simple_examples/{ => int32}/C02AMJE.java (100%) rename simple_examples/{ => int32}/C02ANJE.java (100%) rename simple_examples/{ => int32}/C05AUJE.java (100%) rename simple_examples/{ => int32}/C05AWJE.java (100%) rename simple_examples/{ => int32}/C05AYJE.java (100%) rename simple_examples/{ => int32}/C05AZJE.java (100%) rename simple_examples/{ => int32}/C05BBJE.java (100%) rename simple_examples/{ => int32}/C05MBJE.java (100%) rename simple_examples/{ => int32}/C05QBJE.java (100%) rename simple_examples/{ => int32}/C06BAJE.java (100%) rename simple_examples/{ => int32}/C06FKJE.java (100%) rename simple_examples/{ => int32}/C09AAJE.java (100%) rename simple_examples/{ => int32}/D01BDJE.java (100%) rename simple_examples/{ => int32}/D01RJJE.java (100%) rename simple_examples/{ => int32}/D01RKJE.java (100%) rename simple_examples/{ => int32}/D01RLJE.java (100%) rename simple_examples/{ => int32}/D01RMJE.java (100%) rename simple_examples/{ => int32}/D01TCJE.java (100%) create mode 100644 simple_examples/int32/D02NEJE.java create mode 100644 simple_examples/int32/D02TLJE.java rename simple_examples/{ => int32}/D03PCJE.java (100%) create mode 100644 simple_examples/int32/D03RAJE.java create mode 100644 simple_examples/int32/D03RBJE.java rename simple_examples/{ => int32}/D05BAJE.java (100%) rename simple_examples/{ => int32}/D05BEJE.java (100%) rename simple_examples/{ => int32}/DTFSMJE.java (100%) rename simple_examples/{ => int32}/E01DAJE.java (100%) rename simple_examples/{ => int32}/E02ALJE.java (100%) rename simple_examples/{ => int32}/E04ABJE.java (100%) rename simple_examples/{ => int32}/E04BBJE.java (100%) rename simple_examples/{ => int32}/E04CBJE.java (100%) rename simple_examples/{ => int32}/E04FCJE.java (100%) rename simple_examples/{ => int32}/E04FFJE.java (100%) rename simple_examples/{ => int32}/E04GBJE.java (100%) rename simple_examples/{ => int32}/E04GGJE.java (100%) rename simple_examples/{ => int32}/E04MTJE.java (100%) rename simple_examples/{ => int32}/E04MXJE.java (100%) rename simple_examples/{ => int32}/E04NCJE.java (100%) rename simple_examples/{ => int32}/E04NFJE.java (100%) rename simple_examples/{ => int32}/E04NKJE.java (100%) rename simple_examples/{ => int32}/E04NQJE.java (100%) rename simple_examples/{ => int32}/E04PTJE.java (100%) rename simple_examples/{ => int32}/E04RPJE.java (100%) rename simple_examples/{ => int32}/E04RSJE.java (100%) rename simple_examples/{ => int32}/E04RTJE.java (100%) rename simple_examples/{ => int32}/E04SAJE.java (100%) rename simple_examples/{ => int32}/E04TAJE.java (100%) rename simple_examples/{ => int32}/E04TCJE.java (100%) rename simple_examples/{ => int32}/E04UCJE.java (100%) rename simple_examples/{ => int32}/E04YAJE.java (100%) rename simple_examples/{ => int32}/F01ADJE.java (100%) rename simple_examples/{ => int32}/F01CKJE.java (100%) rename simple_examples/{ => int32}/F01CRJE.java (100%) rename simple_examples/{ => int32}/F01DGJE.java (100%) create mode 100644 simple_examples/int32/F01ELJE.java rename simple_examples/{ => int32}/F01EMJE.java (100%) create mode 100644 simple_examples/int32/F02EKJE.java create mode 100644 simple_examples/int32/F02FKJE.java create mode 100644 simple_examples/int32/F02WGJE.java rename simple_examples/{ => int32}/F03BAJE.java (100%) rename simple_examples/{ => int32}/F04AMJE.java (100%) rename simple_examples/{ => int32}/F04BAJE.java (100%) rename simple_examples/{ => int32}/F05AAJE.java (100%) rename simple_examples/{ => int32}/F06CLJE.java (100%) rename simple_examples/{ => int32}/F07AAJE.java (100%) rename simple_examples/{ => int32}/F07ABJE.java (100%) rename simple_examples/{ => int32}/F07ADJE.java (100%) rename simple_examples/{ => int32}/F07AQJE.java (100%) rename simple_examples/{ => int32}/F07FAJE.java (100%) rename simple_examples/{ => int32}/F07FBJE.java (100%) rename simple_examples/{ => int32}/F08BTJE.java (100%) rename simple_examples/{ => int32}/F08FAJE.java (100%) rename simple_examples/{ => int32}/F08XPJE.java (100%) rename simple_examples/{ => int32}/G01ALJE.java (100%) rename simple_examples/{ => int32}/G02AKJE.java (100%) rename simple_examples/{ => int32}/G02BJJE.java (100%) rename simple_examples/{ => int32}/G02BRJE.java (100%) rename simple_examples/{ => int32}/G02DAJE.java (100%) rename simple_examples/{ => int32}/G02EEJE.java (100%) rename simple_examples/{ => int32}/G02MAJE.java (100%) rename simple_examples/{ => int32}/G03GAJE.java (100%) rename simple_examples/{ => int32}/G05KFJE.java (100%) rename simple_examples/{ => int32}/G13AWJE.java (100%) rename simple_examples/{ => int32}/G13MEJE.java (100%) rename simple_examples/{ => int32}/G13NAJE.java (100%) rename simple_examples/{ => int32}/H02BBJE.java (100%) rename simple_examples/{ => int32}/H02DAJE.java (100%) rename simple_examples/{ => int32}/M01CCJE.java (100%) rename simple_examples/{ => int32}/S01BAJE.java (100%) rename simple_examples/{ => int32}/S10AAJE.java (100%) rename simple_examples/{ => int32}/S10ABJE.java (100%) rename simple_examples/{ => int32}/S10ACJE.java (100%) rename simple_examples/{ => int32}/S14ABJE.java (100%) rename simple_examples/{ => int32}/S14ACJE.java (100%) rename simple_examples/{ => int32}/S14AFJE.java (100%) rename simple_examples/{ => int32}/S17DCJE.java (100%) rename simple_examples/{ => int32}/S17DGJE.java (100%) rename simple_examples/{ => int32}/S30AAJE.java (100%) rename simple_examples/{ => int32}/S30ACJE.java (100%) rename simple_examples/{ => int32}/X03AAJE.java (100%) rename simple_examples/{ => int32}/X04CBJE.java (100%) rename simple_examples/{ => int32}/X05ABJE.java (100%) create mode 100644 simple_examples/int64/A00AAJE.java create mode 100644 simple_examples/int64/A00ADJE.java create mode 100644 simple_examples/int64/C05AYJE.java create mode 100644 simple_examples/int64/C05AZJE.java create mode 100644 simple_examples/int64/C05MBJE.java create mode 100644 simple_examples/int64/C05QBJE.java create mode 100644 simple_examples/int64/D01BDJE.java create mode 100644 simple_examples/int64/D02NEJE.java create mode 100644 simple_examples/int64/DTFSMJE.java create mode 100644 simple_examples/int64/E01DAJE.java create mode 100644 simple_examples/int64/E04FCJE.java create mode 100644 simple_examples/int64/E04MTJE.java create mode 100644 simple_examples/int64/E04NFJE.java create mode 100644 simple_examples/int64/E04UCJE.java create mode 100644 simple_examples/int64/F02EKJE.java create mode 100644 simple_examples/withdrawn/D02TKJE.java diff --git a/simple_examples/A00AAJE.java b/simple_examples/int32/A00AAJE.java similarity index 100% rename from simple_examples/A00AAJE.java rename to simple_examples/int32/A00AAJE.java diff --git a/simple_examples/A00ACJE.java b/simple_examples/int32/A00ACJE.java similarity index 100% rename from simple_examples/A00ACJE.java rename to simple_examples/int32/A00ACJE.java diff --git a/simple_examples/A00ADJE.java b/simple_examples/int32/A00ADJE.java similarity index 100% rename from simple_examples/A00ADJE.java rename to simple_examples/int32/A00ADJE.java diff --git a/simple_examples/C02AAJE.java b/simple_examples/int32/C02AAJE.java similarity index 100% rename from simple_examples/C02AAJE.java rename to simple_examples/int32/C02AAJE.java diff --git a/simple_examples/C02ABJE.java b/simple_examples/int32/C02ABJE.java similarity index 100% rename from simple_examples/C02ABJE.java rename to simple_examples/int32/C02ABJE.java diff --git a/simple_examples/C02AFJE.java b/simple_examples/int32/C02AFJE.java similarity index 100% rename from simple_examples/C02AFJE.java rename to simple_examples/int32/C02AFJE.java diff --git a/simple_examples/C02AGJE.java b/simple_examples/int32/C02AGJE.java similarity index 100% rename from simple_examples/C02AGJE.java rename to simple_examples/int32/C02AGJE.java diff --git a/simple_examples/C02AHJE.java b/simple_examples/int32/C02AHJE.java similarity index 100% rename from simple_examples/C02AHJE.java rename to simple_examples/int32/C02AHJE.java diff --git a/simple_examples/C02AJJE.java b/simple_examples/int32/C02AJJE.java similarity index 100% rename from simple_examples/C02AJJE.java rename to simple_examples/int32/C02AJJE.java diff --git a/simple_examples/C02AKJE.java b/simple_examples/int32/C02AKJE.java similarity index 100% rename from simple_examples/C02AKJE.java rename to simple_examples/int32/C02AKJE.java diff --git a/simple_examples/C02ALJE.java b/simple_examples/int32/C02ALJE.java similarity index 100% rename from simple_examples/C02ALJE.java rename to simple_examples/int32/C02ALJE.java diff --git a/simple_examples/C02AMJE.java b/simple_examples/int32/C02AMJE.java similarity index 100% rename from simple_examples/C02AMJE.java rename to simple_examples/int32/C02AMJE.java diff --git a/simple_examples/C02ANJE.java b/simple_examples/int32/C02ANJE.java similarity index 100% rename from simple_examples/C02ANJE.java rename to simple_examples/int32/C02ANJE.java diff --git a/simple_examples/C05AUJE.java b/simple_examples/int32/C05AUJE.java similarity index 100% rename from simple_examples/C05AUJE.java rename to simple_examples/int32/C05AUJE.java diff --git a/simple_examples/C05AWJE.java b/simple_examples/int32/C05AWJE.java similarity index 100% rename from simple_examples/C05AWJE.java rename to simple_examples/int32/C05AWJE.java diff --git a/simple_examples/C05AYJE.java b/simple_examples/int32/C05AYJE.java similarity index 100% rename from simple_examples/C05AYJE.java rename to simple_examples/int32/C05AYJE.java diff --git a/simple_examples/C05AZJE.java b/simple_examples/int32/C05AZJE.java similarity index 100% rename from simple_examples/C05AZJE.java rename to simple_examples/int32/C05AZJE.java diff --git a/simple_examples/C05BBJE.java b/simple_examples/int32/C05BBJE.java similarity index 100% rename from simple_examples/C05BBJE.java rename to simple_examples/int32/C05BBJE.java diff --git a/simple_examples/C05MBJE.java b/simple_examples/int32/C05MBJE.java similarity index 100% rename from simple_examples/C05MBJE.java rename to simple_examples/int32/C05MBJE.java diff --git a/simple_examples/C05QBJE.java b/simple_examples/int32/C05QBJE.java similarity index 100% rename from simple_examples/C05QBJE.java rename to simple_examples/int32/C05QBJE.java diff --git a/simple_examples/C06BAJE.java b/simple_examples/int32/C06BAJE.java similarity index 100% rename from simple_examples/C06BAJE.java rename to simple_examples/int32/C06BAJE.java diff --git a/simple_examples/C06FKJE.java b/simple_examples/int32/C06FKJE.java similarity index 100% rename from simple_examples/C06FKJE.java rename to simple_examples/int32/C06FKJE.java diff --git a/simple_examples/C09AAJE.java b/simple_examples/int32/C09AAJE.java similarity index 100% rename from simple_examples/C09AAJE.java rename to simple_examples/int32/C09AAJE.java diff --git a/simple_examples/D01BDJE.java b/simple_examples/int32/D01BDJE.java similarity index 100% rename from simple_examples/D01BDJE.java rename to simple_examples/int32/D01BDJE.java diff --git a/simple_examples/D01RJJE.java b/simple_examples/int32/D01RJJE.java similarity index 100% rename from simple_examples/D01RJJE.java rename to simple_examples/int32/D01RJJE.java diff --git a/simple_examples/D01RKJE.java b/simple_examples/int32/D01RKJE.java similarity index 100% rename from simple_examples/D01RKJE.java rename to simple_examples/int32/D01RKJE.java diff --git a/simple_examples/D01RLJE.java b/simple_examples/int32/D01RLJE.java similarity index 100% rename from simple_examples/D01RLJE.java rename to simple_examples/int32/D01RLJE.java diff --git a/simple_examples/D01RMJE.java b/simple_examples/int32/D01RMJE.java similarity index 100% rename from simple_examples/D01RMJE.java rename to simple_examples/int32/D01RMJE.java diff --git a/simple_examples/D01TCJE.java b/simple_examples/int32/D01TCJE.java similarity index 100% rename from simple_examples/D01TCJE.java rename to simple_examples/int32/D01TCJE.java diff --git a/simple_examples/int32/D02NEJE.java b/simple_examples/int32/D02NEJE.java new file mode 100644 index 0000000..34a5b25 --- /dev/null +++ b/simple_examples/int32/D02NEJE.java @@ -0,0 +1,388 @@ +import com.nag.routines.D02.D02MC; +import com.nag.routines.D02.D02MW; +import com.nag.routines.D02.D02NE; +import com.nag.routines.D02.D02NEZ; +import com.nag.routines.D02.D02NP; +import java.util.Arrays; + +/** + * D02NE example program text. + * @author joed + */ +public class D02NEJE { + + public static final double ALPHA = 0.04; + public static final double BETA = 1.0E4; + public static final double GAMMA = 3.0E7; + public static final int ML = 1; + public static final int MU = 2; + public static final int NEQ1 = 3; + public static final int NEQ2 = 1; + + public static JAC1 jac1 = new JAC1(); + public static JAC2 jac2 = new JAC2(); + public static RES1 res1 = new RES1(); + public static RES2 res2 = new RES2(); + + public static void main(String[] args) { + + System.out.println(" D02NEJ Example Program Results"); + + ex1(); + ex2(); + + } + + private static void ex1() { + + D02MC d02mc = new D02MC(); + D02MW d02mw = new D02MW(); + D02NE d02ne = new D02NE(); + D02NP d02np = new D02NP(); + double h0, hmax, t, tout; + int ifail, ijac, itask, itol, lcom, licom, maxord, neq; + String jceval; // length 8 + double[] atol, com, rtol, y, ydot, ruser; + int[] icom, iuser; + + ruser = new double[1]; + iuser = new int[3]; + + System.out.println(); + System.out.println(" D02NEF Example 1"); + System.out.println(); + + maxord = 5; + + neq = NEQ1; + lcom = 40 + (maxord + 4) * neq + (2 * ML + MU + 1) * neq + + 2 * (neq / (ML + MU + 1) + 1); + licom = 50 + neq; + + atol = new double[neq]; + com = new double[lcom]; + rtol = new double[neq]; + y = new double[neq]; + ydot = new double[neq]; + icom = new int[licom]; + + ijac = 1; + itol = 1; + Arrays.fill(rtol, 1.0E-3); + Arrays.fill(atol, 1.0E-6); + Arrays.fill(ydot, 0.0); + + // String length = 8 + jceval = (ijac == 1) ? "Analytic" : "Numeric "; + + // Set initial values + y[0] = 1.0; + y[1] = 0.0; + y[2] = 0.0; + + // Initialize the problem, specifying that the Jacobian is to be + // evaluated analytically using the provided routine jac. + hmax = 0.0; + h0 = 0.0; + t = 0.0; + tout = 0.02; + ifail = 0; + d02mw.eval( + neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail + ); + ifail = d02mw.getIFAIL(); + + // Specify that the Jacobian is banded. + ifail = 0; + d02np.eval(neq, ML, MU, icom, licom, ifail); + ifail = d02np.getIFAIL(); + + // Use the iuser array to pass the band dimensions through to jac. + // An alternative would be to hard code values for ml and mu in jac. + iuser[0] = ML; + iuser[1] = MU; + iuser[2] = ijac; + + System.out.printf(" t "); + for (int i = 1; i <= neq; i++) { + System.out.printf(" Y(%1d) ", i); + } + System.out.println(); + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + itask = 0; + + // Obtain the solution at 5 equally spaced values of T. + for (int j = 0; j < 5; j++) { + ifail = -1; + d02ne.eval( + neq, t, tout, y, ydot, rtol, atol, itask, res1, jac1, icom, + com, lcom, iuser, ruser, ifail + ); + itask = d02ne.getITASK(); + ifail = d02ne.getIFAIL(); + t = d02ne.getT(); + + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + if (ifail != 0) { + System.out.printf( + " ** D02NEF returned with IFAIL = %5d\n", ifail + ); + break; + } + + tout += 0.02; + d02mc.eval(icom); + + } + + System.out.println(); + System.out.printf( + " The integrator completed task, ITASK = %4d\n", itask + ); + + } + + private static void ex2() { + D02MC d02mc = new D02MC(); + D02MW d02mw = new D02MW(); + D02NE d02ne = new D02NE(); + double h0, hmax, t, tout; + int ifail, ijac, itask, itol, lcom, licom, maxord, neq; + String jceval; // length 8 + double[] atol, com, rtol, y, ydot, ruser; + int[] icom, iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println(); + System.out.println(" D02NEF Example 2"); + System.out.println(); + + maxord = 5; + neq = NEQ2; + lcom = 40 + (maxord + 4) * neq + neq * neq; + licom = 50 + neq; + + atol = new double[neq]; + com = new double[lcom]; + rtol = new double[neq]; + y = new double[neq]; + ydot = new double[neq]; + icom = new int[licom]; + + ijac = 1; + itol = 1; + rtol[0] = 0.0; + atol[0] = 1.0E-8; + ydot[0] = 0.0; + + // String length = 8 + jceval = (ijac == 1) ? "Analytic" : "Numeric "; + + // Initialize the problem, specifying that the Jacobian is to be + // evaluated analytically using the provided routine jac. + y[0] = 2.0; + hmax = 0.0; + h0 = 0.0; + t = 0.0; + tout = 0.2; + + ifail = 0; + d02mw.eval( + neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail + ); + ifail = d02mw.getIFAIL(); + + // Use the iuser array to pass whether numerical or analytic Jacobian + // is to be used. + iuser[0] = ijac; + + System.out.printf(" t "); + for (int i = 1; i <= neq; i++) { + System.out.printf(" y(%1d) ", i); + } + System.out.println(); + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + itask = 0; + + for (int j = 0; j < 5; j++) { + ifail = -1; + d02ne.eval( + neq, t, tout, y, ydot, rtol, atol, itask, res2, jac2, icom, + com, lcom, iuser, ruser, ifail + ); + itask = d02ne.getITASK(); + ifail = d02ne.getIFAIL(); + t = d02ne.getT(); + + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + if (ifail != 0) { + System.out.printf( + " ** D02NEF returned with IFAIL = %5d\n", ifail + ); + break; + } + + tout += 0.2; + d02mc.eval(icom); + + } + + System.out.println(); + System.out.printf( + " The integrator completed task, ITASK = %4d\n", itask + ); + + } + + /** + * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based + * Java index. + * + *

    Fortran array definition: + * a(dimX, *) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + + public static class RES1 extends D02NE.Abstract_D02NE_RES { + + public void eval() { + + this.R[0] = -(ALPHA * this.Y[0]) + (BETA * this.Y[1] * this.Y[2]) + - this.YDOT[0]; + this.R[1] = (ALPHA * this.Y[0]) - (BETA * this.Y[1] * this.Y[2]) + - (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[1]; + this.R[2] = (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[2]; + + } + + } + + public static class JAC1 extends D02NE.Abstract_D02NE_JAC { + + private double[] myjac1( + int neq, int ml, int mu, double t, double[] y, double[] ydot, + double[] pd, double cj + ) { + + int md, ms, pdDim1; + + pdDim1 = (2 * ml) + mu + 1; + + // Main diagonal pdfull(i,i), i=1, neq + md = mu + ml + 1; + pd[getIdx(md, 1, pdDim1)] = -ALPHA - cj; + pd[getIdx(md, 2, pdDim1)] = (-BETA * y[2]) - (2.0 * GAMMA * y[1]) + - cj; + pd[getIdx(md, 3, pdDim1)] = -cj; + + // 1 subdiagonal pdfull(i-1,i), i=2, neq + ms = md + 1; + pd[getIdx(ms, 1, pdDim1)] = ALPHA; + pd[getIdx(ms, 2, pdDim1)] = 2.0 * GAMMA * y[1]; + + // First superdiagonal pdfull(i-1,i), i=2, neq + ms = md - 1; + pd[getIdx(ms, 2, pdDim1)] = BETA * y[2]; + pd[getIdx(ms, 3, pdDim1)] = -BETA * y[1]; + + // Second superdiagonal pdfull(i-2,i), i=3, neq + ms = md - 2; + pd[getIdx(ms, 3, pdDim1)] = BETA * y[1]; + + return pd; + + } + + public void eval() { + D02NEZ d02nez = new D02NEZ(); + int ijac, ml, mu; + + ml = this.IUSER[0]; + mu = this.IUSER[1]; + ijac = this.IUSER[2]; + + if (ijac == 1) { + myjac1( + this.NEQ, ml, mu, this.T, this.Y, this.YDOT, this.PD, + this.CJ + ); + } + else { + d02nez.eval( + this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, + this.IUSER, this.RUSER + ); + } + + } + + } + + public static class RES2 extends D02NE.Abstract_D02NE_RES { + + public void eval() { + this.R[0] = 4.0 - Math.pow(this.Y[0], 2.0) + + (this.T * 0.1E0 * Math.exp(this.Y[0])); + } + + } + + public static class JAC2 extends D02NE.Abstract_D02NE_JAC { + + private void myjac2( + int neq, double t, double[] y, double[] ydot, double[] pd, + double cj + ) { + + pd[0] = -(2.0 * y[0]) + (0.1E0 * t * y[0] * Math.exp(y[0])); + + } + + public void eval() { + D02NEZ d02nez = new D02NEZ(); + int ijac; + + ijac = this.IUSER[0]; + + if (ijac == 1) { + myjac2(this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ); + } + else { + d02nez.eval( + this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, + this.IUSER, this.RUSER + ); + } + + } + + } + +} diff --git a/simple_examples/int32/D02TLJE.java b/simple_examples/int32/D02TLJE.java new file mode 100644 index 0000000..601b3ce --- /dev/null +++ b/simple_examples/int32/D02TLJE.java @@ -0,0 +1,290 @@ +import com.nag.routines.D02.D02TL; +import com.nag.routines.D02.D02TV; +import com.nag.routines.D02.D02TX; +import com.nag.routines.D02.D02TY; +import com.nag.routines.D02.D02TZ; +import java.util.Arrays; + +/** + * D02TL example program text. + * @author joed + */ +public class D02TLJE { + + public static final int MMAX = 3, NEQ = 3, NLBC = 3, NRBC = 3; + + public static double omega, sqrofr; + public static int[] m = {1, 3, 2}; + + public static FFUN ffun = new FFUN(); + public static FJAC fjac = new FJAC(); + public static GAFUN gafun = new GAFUN(); + public static GAJAC gajac = new GAJAC(); + public static GBFUN gbfun = new GBFUN(); + public static GBJAC gbjac = new GBJAC(); + public static GUESS guess = new GUESS(); + + public static void main(String[] args) { + + D02TL d02tl = new D02TL(); + D02TV d02tv = new D02TV(); + D02TX d02tx = new D02TX(); + D02TY d02ty = new D02TY(); + D02TZ d02tz = new D02TZ(); + double dx, ermx, r; + int iermx, ifail, ijermx, licomm, lrcomm, mxmesh, ncol, ncont, + nmesh; + double[] mesh, rcomm, tol, y, ruser = new double[1]; + int[] icomm, ipmesh, iuser = new int[2]; + + System.out.println(" D02TLJ Example Program Results"); + System.out.println(); + + ncol = 7; + nmesh = 11; + mxmesh = 51; + + mesh = new double[mxmesh]; + tol = new double[NEQ]; + y = new double[NEQ * MMAX]; + ipmesh = new int[mxmesh]; + + omega = 1.0; + Arrays.fill(tol, 1.0E-4); + + dx = 1.0 / ((double) nmesh - 1); + + mesh[0] = 0.0; + for (int i = 1; i < nmesh - 1; i++) { + mesh[i] = mesh[i - 1] + dx; + } + mesh[nmesh - 1] = 1.0; + + ipmesh[0] = 1; + Arrays.fill(ipmesh, 1, nmesh - 1, 2); + ipmesh[nmesh - 1] = 1; + + // Workspace query to get size of rcomm and icomm + ifail = 0; + d02tv.eval( + NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, ruser, + 0, iuser, 2, ifail + ); + ifail = d02tv.getIFAIL(); + lrcomm = iuser[0]; + licomm = iuser[1]; + rcomm = new double[lrcomm]; + icomm = new int[licomm]; + + // Initialise integrator for given problem + ifail = 0; + d02tv.eval( + NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, rcomm, + lrcomm, icomm, licomm, ifail + ); + ifail = d02tv.getIFAIL(); + + ncont = 3; + r = 1.0E6; + + sqrofr = Math.sqrt(r); + + ermx = 0.0; + iermx = 0; + ijermx = 0; + + for (int j = 0; j < ncont; j++) { + System.out.printf("\n Tolerance = %8.1E R = %10.3E\n", tol[0], r); + + // Solve problem + ifail = -1; + d02tl.eval( + ffun, fjac, gafun, gbfun, gajac, gbjac, guess, rcomm, icomm, + iuser, ruser, ifail + ); + ifail = d02tl.getIFAIL(); + if (ifail != 0) { + System.err.println("D02TL failed with error code " + ifail); + } + + // Extract mesh + ifail = -1; + d02tz.eval( + mxmesh, nmesh, mesh, ipmesh, ermx, iermx, ijermx, rcomm, icomm, + ifail + ); + nmesh = d02tz.getNMESH(); + iermx = d02tz.getIERMX(); + ijermx = d02tz.getIJERMX(); + ermx = d02tz.getERMX(); + ifail = d02tz.getIFAIL(); + if (ifail == 1) { + break; + } + + // Print mesh, error stats + System.out.printf( + "\n" + + " Used a mesh of %4d points\n" + + " Maximum error = %10.2E in interval %4d for component %4d\n" + + "\n", + nmesh, ermx, iermx, ijermx + ); + System.out.printf("\n Mesh points:\n"); + for (int i = 0; i < nmesh; i++) { + System.out.printf("%4d(%1d)%10.3E", i+1, ipmesh[i], mesh[i]); + if ((i+1) % 4 == 0) { + System.out.printf("\n"); + } + } + System.out.printf("\n"); + + // Print solution components on mesh + System.out.printf("\n x f f\' g\n"); + for (int i = 0; i < nmesh; i++) { + ifail = 0; + d02ty.eval(mesh[i], y, NEQ, MMAX, rcomm, icomm, ifail); + ifail = d02ty.getIFAIL(); + System.out.printf( + " %8.3f %9.4f%9.4f%9.4f\n", mesh[i], y[getIdx(1, 0, NEQ)], + y[getIdx(2, 0, NEQ)], y[getIdx(3, 0, NEQ)] + ); + } + + if (j == ncont - 1) { + break; + } + + // Modify continuation parameter + r = 100.0 * r; + sqrofr = Math.sqrt(r); + + // Select mesh for continuation + Arrays.fill(ipmesh, 1, nmesh - 1, 2); + + // Call continuation primer routine + ifail = 0; + d02tx.eval(mxmesh, nmesh, mesh, ipmesh, rcomm, icomm, ifail); + mxmesh = d02tx.getMXMESH(); + nmesh = d02tx.getNMESH(); + ifail = d02tx.getIFAIL(); + + } + + } + + /** + * Converts a 2D Fortran index to the 1D index for its corresponding Java + * array. Assumes y is already zero-based. + * + *

    Fortran array definition: + * a(dimX, 0:*) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return (y * dimX) + (x-1); + } + + /** + * Converts a 3D Fortran index to the 1D index for its corresponding Java + * array. Assumes z is already zero-based. + * + *

    Fortran array definition: + * a(dimX, dimY, 0:*) + * + *

    Conversion: + * a(x, y, z) --> A[result] + */ + private static int getIdx(int x, int y, int z, int dimX, int dimY) { + return (z * dimY * dimX) + ((y-1) * dimX) + (x-1); + } + + public static class FFUN extends D02TL.Abstract_D02TL_FFUN { + + public void eval() { + F[0] = Y[getIdx(2, 0, NEQ)]; + F[1] = -((Y[getIdx(1, 0, NEQ)] * Y[getIdx(2, 2, NEQ)]) + + (Y[getIdx(3, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; + F[2] = ((Y[getIdx(2, 0, NEQ)] * Y[getIdx(3, 0, NEQ)]) + - (Y[getIdx(1, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; + } + + } + + public static class FJAC extends D02TL.Abstract_D02TL_FJAC { + + public void eval() { + DFDY[getIdx(1, 2, 0, NEQ, NEQ)] = 1.0; + DFDY[getIdx(2, 1, 0, NEQ, NEQ)] = -Y[getIdx(2, 2, NEQ)] * sqrofr; + DFDY[getIdx(2, 2, 2, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; + DFDY[getIdx(2, 3, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; + DFDY[getIdx(2, 3, 1, NEQ, NEQ)] = -Y[getIdx(3, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 1, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; + DFDY[getIdx(3, 2, 0, NEQ, NEQ)] = Y[getIdx(3, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 3, 0, NEQ, NEQ)] = Y[getIdx(2, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 3, 1, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; + } + + } + + public static class GAFUN extends D02TL.Abstract_D02TL_GAFUN { + + public void eval() { + GA[0] = YA[getIdx(1, 0, NEQ)]; + GA[1] = YA[getIdx(2, 0, NEQ)]; + GA[2] = YA[getIdx(3, 0, NEQ)] - omega; + } + + } + + public static class GBFUN extends D02TL.Abstract_D02TL_GBFUN { + + public void eval() { + GB[0] = YB[getIdx(1, 0, NEQ)]; + GB[1] = YB[getIdx(2, 0, NEQ)]; + GB[2] = YB[getIdx(3, 0, NEQ)] + omega; + } + + } + + public static class GAJAC extends D02TL.Abstract_D02TL_GAJAC { + + public void eval() { + DGADY[getIdx(1, 1, 0, NLBC, NEQ)] = 1.0; + DGADY[getIdx(2, 2, 0, NLBC, NEQ)] = 1.0; + DGADY[getIdx(3, 3, 0, NLBC, NEQ)] = 1.0; + } + + } + + public static class GBJAC extends D02TL.Abstract_D02TL_GBJAC { + + public void eval() { + DGBDY[getIdx(1, 1, 0, NRBC, NEQ)] = 1.0; + DGBDY[getIdx(2, 2, 0, NRBC, NEQ)] = 1.0; + DGBDY[getIdx(3, 3, 0, NRBC, NEQ)] = 1.0; + } + + } + + public static class GUESS extends D02TL.Abstract_D02TL_GUESS { + + public void eval() { + Y[getIdx(1, 0, NEQ)] = -(X - 0.5) * Math.pow(X * (X - 1.0), 2.0); + Y[getIdx(2, 0, NEQ)] = -X * (X - 1.0) + * (5.0 * X * (X - 1.0) + 1.0); + Y[getIdx(2, 1, NEQ)] = -(2.0 * X - 1.0) + * (10.0 * X * (X - 1.0) + 1.0); + Y[getIdx(2, 2, NEQ)] = -12.0 * (5.0 * X * (X - 1.0) + 1.0); + Y[getIdx(3, 0, NEQ)] = -8.0 * omega * Math.pow(X - 0.5, 3.0); + Y[getIdx(3, 1, NEQ)] = -24.0 * omega * Math.pow(X - 0.5, 2.0); + DYM[0] = Y[getIdx(2, 0, NEQ)]; + DYM[1] = -120.0 * (X - 0.5); + DYM[2] = -56.0 * omega * (X - 0.5); + } + + } + +} diff --git a/simple_examples/D03PCJE.java b/simple_examples/int32/D03PCJE.java similarity index 100% rename from simple_examples/D03PCJE.java rename to simple_examples/int32/D03PCJE.java diff --git a/simple_examples/int32/D03RAJE.java b/simple_examples/int32/D03RAJE.java new file mode 100644 index 0000000..88d49aa --- /dev/null +++ b/simple_examples/int32/D03RAJE.java @@ -0,0 +1,307 @@ +import com.nag.routines.D03.D03RA; +import com.nag.routines.D03.D03RA.D03RA_BNDARY; +import com.nag.routines.D03.D03RA.D03RA_MONITR; +import com.nag.routines.X01.X01AA; +import com.nag.routines.X02.X02AJ; +import java.util.Arrays; + +/** + * D03RA example program text. + * @author joed + */ +public class D03RAJE { + + public static final double ALPHA = 50.0; + public static final double BETA = 300.0; + public static final double XMAX = 1.0; + public static final double XMIN = 0.0; + public static final double YMAX = 1.0; + public static final double YMIN = 0.0; + public static final int ITRACE = 0; + public static final int NPDE = 1; + + public static D03RA d03ra = new D03RA(); + public static PDEDEF pdedef = new PDEDEF(); + public static BNDRY bndry = new BNDRY(); + public static PDEIV pdeiv = new PDEIV(); + public static MONIT monit = new MONIT(); + public static MONITDUMMY monitDummy = new MONITDUMMY(); + + public static void main(String[] args) { + double tols, tolt, tout, ts; + int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, npde, npts, nx, ny; + double[] dt, twant, optr, rwk; + int[] wklens, iwk, opti = new int[4]; + boolean[] lwk; + + // Run examples + System.out.println(" D03RAJ Example Program Results"); + System.out.println(); + + npts = 2000; + npde = NPDE; + + dt = new double[] {0.1e-2, 0.0, 0.0}; + twant = new double[] {0.24, 0.25}; + ts = 0.0; + + ind = 10; + nx = 41; + ny = 41; + tols = 0.5; + tolt = 0.01; + Arrays.fill(opti, 0); + opti[0] = 6; + maxlev = Math.max(opti[0], 3); + + wklens = computeWkspaceLens(maxlev, npde, npts); + lenrwk = wklens[0]; + leniwk = wklens[1]; + lenlwk = wklens[2]; + rwk = new double[lenrwk]; + iwk = new int[leniwk]; + lwk = new boolean[lenlwk]; + + optr = new double[3 * npde]; + Arrays.fill(optr, 1.0); + + for (int i = 0; i < 2; i++) { + tout = twant[i]; + ifail = 0; + if (i == 0) { + // Dummy monitor used to avoid output on first call + d03ra.eval( + npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, + tolt, pdedef, bndry, pdeiv, monitDummy, opti, optr, + rwk, lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail + ); + } + else { + d03ra.eval( + npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, + tolt, pdedef, bndry, pdeiv, monit, opti, optr, rwk, + lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail + ); + } + + ind = d03ra.getIND(); + ifail = d03ra.getIFAIL(); + ts = d03ra.getTS(); + + printStatistics(ts, iwk, maxlev); + + } + + } + + public static class PDEIV extends D03RA.Abstract_D03RA_PDEIV { + + public void eval() { + Arrays.fill(this.U, 1.0); + } + + } + + public static class PDEDEF extends D03RA.Abstract_D03RA_PDEDEF { + + private static final double ACTIV_ENERGY = 20.0; + private static final double DIFFUSION = 0.1; + private static final double HEAT_RELEASE = 1.0; + private static final double REACTION_RATE = 5.0; + + public void eval() { + + double damkohler; + + damkohler = REACTION_RATE * Math.exp(ACTIV_ENERGY) + / (HEAT_RELEASE * ACTIV_ENERGY); + + for (int col = 0; col < this.NPDE; col++) { + for (int row = 0; row < this.NPTS; row++) { + int idx = (col * this.NPTS) + row; + this.RES[idx] = this.UT[idx] + - (DIFFUSION * (this.UXX[idx] + this.UYY[idx])) + - (damkohler + * (1.0e0 + HEAT_RELEASE - this.U[idx]) + * Math.exp(-ACTIV_ENERGY / this.U[idx])); + } + } + + } + + } + + public static class BNDRY extends D03RA.Abstract_D03RA_BNDARY { + + public void eval() { + X02AJ x02aj = new X02AJ(); + double tol; + + // X02AJ returns machine precision + tol = 10.0 * x02aj.eval(); + + for (int i = 0; i < this.NBPTS; i++) { + int j = this.LBND[i] - 1; + + if (Math.abs(this.X[j]) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.UX[idx]; + } + } + else if (Math.abs(this.X[j] - 1.0) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.U[idx] - 1.0; + } + } + else if (Math.abs(this.Y[j]) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.UY[idx]; + } + } + else if (Math.abs(this.Y[j] - 1.0) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.U[idx] - 1.0; + } + } + } + + } + + } + + public static class MONIT extends D03RA.Abstract_D03RA_MONITR { + + public void eval() { + int ipsol, k, level, npts; + + if (TLAST) { + // Print solution + level = this.NLEV - 1; + npts = this.NGPTS[level]; + ipsol = this.LSOL[level]; + k = 0; + for (int i = 0; i < level; i++) { + k += this.NGPTS[i]; + } + + System.out.printf( + " Solution at every 4th grid point in level%10d" + + " at time %8.4f:%n%n", this.NLEV, this.T + ); + System.out.println( + " x y approx u\n" + ); + for (int i = 0; i < npts; i += 4) { + double ix = this.XPTS[k + i]; + double iy = this.YPTS[k + i]; + double isol = this.SOL[ipsol + i]; + System.out.printf( + " %11.4E %11.3E %11.3E%n", + ix, iy, isol + ); + } + System.out.println(); + + } + + } + + } + + public static class MONITDUMMY extends D03RA.Abstract_D03RA_MONITR { + + public void eval() { + return; + } + + } + + public static int[] computeWkspaceLens(int maxlev, int npde, int maxpts) { + int lenrwk, leniwk, lenlwk; + + lenrwk = (2 * maxpts * npde * ((5 * maxlev) + (18 * npde) + 9)) + + (2 * maxpts); + leniwk = (2 * maxpts * (14 + (5 * maxlev))) + + (7 * maxlev) + 2; + lenlwk = (2 * maxpts) + 400; + + return new int[] {lenrwk, leniwk, lenlwk}; + + } + + public static void printStatistics(double ts, int[] iwk, int maxlev) { + int[] istats = new int[4]; + + System.out.printf(" Statistics:%n"); + System.out.printf(" Time = %8.4f%n", ts); + System.out.printf( + " Total number of accepted timesteps =%5d%n", iwk[0] + ); + System.out.printf( + " Total number of rejected timesteps =%5d%n", iwk[1] + ); + System.out.printf( + "%n" + + " Total number (rounded) of%n" + + " Residual Jacobian Newton Lin sys%n" + + " evals evals iters iters%n" + + " At level %n" + ); + + for (int j = 0; j < maxlev; j++) { + if (iwk[j + 2] != 0) { + int idx = 0; + for (int i = j+2; i <= j+2+(3*maxlev); i += maxlev) { + istats[idx++] = iwk[i]; + } + istats = roundStatisics(istats); + System.out.printf("%8d", j + 1); + for (int i = 0; i < 4; i++) { + System.out.printf("%10d", istats[i]); + } + System.out.printf("%n"); + } + } + + System.out.printf( + "%n" + + " Maximum number of %n" + + " Newton iters Lin sys iters %n" + + " At level %n" + ); + + for (int j = 0; j < maxlev; j++) { + if (iwk[j+2] != 0) { + System.out.printf("%8d", j+1); + System.out.printf("%14d", iwk[j+2+(4*maxlev)]); + System.out.printf("%14d", iwk[j+2+(5*maxlev)]); + System.out.printf("%n"); + } + } + System.out.println(); + + } + + public static int[] roundStatisics(int[] istat) { + double lt; + int k; + + lt = Math.log(10.0); + for (int i = 0; i < istat.length; i++) { + // istat = 0 leads to div by 0 error, doesn't need rounding anyway + if (istat[i] != 0) { + k = (int) (Math.log((double) istat[i]) / lt); + k = (int) Math.pow(10, k); + istat[i] = k * ((istat[i] + k/2)/k); + } + } + + return istat; + + } + +} diff --git a/simple_examples/int32/D03RBJE.java b/simple_examples/int32/D03RBJE.java new file mode 100644 index 0000000..9b1b482 --- /dev/null +++ b/simple_examples/int32/D03RBJE.java @@ -0,0 +1,388 @@ +import com.nag.routines.D03.D03RB; +import com.nag.routines.D03.D03RZ; +import java.util.Arrays; + +/** + * D03RB example program text. + * @author joed + */ +public class D03RBJE { + + public static final int ITRACE = -1; + public static final int NPDE = 2; + public static final double[] TWANT = {0.25, 1.0}; + + public static boolean do_monitr; + public static int print_stats = 0; + + public static BNDARY bndary = new BNDARY(); + public static INIDOM inidom = new INIDOM(); + public static MONITR monitr = new MONITR(); + public static PDEDEF pdedef = new PDEDEF(); + public static PDEIV pdeiv = new PDEIV(); + + public static void main(String[] args) { + D03RB d03rb = new D03RB(); + double tols, tolt, tout, ts; + int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, mxlev, npts; + boolean[] lwk; + double[] optr, rwk, dt = new double[3]; + int[] iwk, opti = new int[4]; + + System.out.println(" D03RBJ Example Program Results"); + + npts = 3000; + mxlev = 7; + + leniwk = 10 * npts * (5 * mxlev + 14) + 2 + 7 * mxlev; + lenlwk = 20 * npts; + lenrwk = 20 * (npts * NPDE * (5 * mxlev + 9 + 18 * NPDE) + 2 * npts); + + rwk = new double[lenrwk]; + iwk = new int[leniwk]; + lwk = new boolean[lenlwk]; + optr = new double[3 * NPDE]; + + // Specify that we are starting the integration in time + // (ind = 0 normally). + ind = 10; + + ts = 0.0; + dt[0] = 0.001; + dt[1] = 1.0E-7; + dt[2] = 0.0; + tols = 0.1; + tolt = 0.05; + opti[0] = mxlev; + maxlev = opti[0]; + Arrays.fill(opti, 1, 4, 0); + Arrays.fill(optr, 1.0); + + // Call main routine + for (int iout = 1; iout <= 2; iout++) { + do_monitr = (iout == 2); + tout = TWANT[iout - 1]; + + ifail = 0; + d03rb.eval( + NPDE, ts, tout, dt, tols, tolt, inidom, pdedef, bndary, pdeiv, + monitr, opti, optr, rwk, lenrwk, iwk, leniwk, lwk, lenlwk, + ITRACE, ind, ifail + ); + ind = d03rb.getIND(); + ifail = d03rb.getIFAIL(); + ts = d03rb.getTS(); + + if (print_stats != 0) { + System.out.printf(" Statistics:\n"); + System.out.printf(" Time = %8.4f\n", ts); + System.out.printf( + " Total number of accepted timesteps =%5d\n", iwk[0] + ); + System.out.printf( + " Total number of rejected timesteps =%5d\n", iwk[1] + ); + System.out.println( + " Total number of " + + " maximum number of " + ); + System.out.println( + " Residual Jacobian Newton Newton " + ); + System.out.println( + " evals evals iters iters " + ); + System.out.println(" Level "); + + maxlev = opti[0]; + for (int j = 0; j < maxlev; j++) { + if (iwk[j+2] != 0) { + System.out.printf( + "%4d%10d%10d%10d%10d\n", + j+1, + iwk[j + 2 + 0*maxlev], + iwk[j + 2 + 1*maxlev], + iwk[j + 2 + 2*maxlev], + iwk[j + 2 + 4*maxlev] + ); + } + } + System.out.println(); + + } + + } + + } + + public static class PDEIV extends D03RB.Abstract_D03RB_PDEIV { + + public void eval(int NPTS, int NPDE, double T, double[] X, double[] Y, double[] U) { + this.setNPTS(NPTS); + this.setNPDE(NPDE); + this.setT(T); + this.setX(X); + this.setY(Y); + this.setU(U); + this.eval(); + } + + public void eval() { + double eps = 0.001, a; + + for (int i = 1; i <= this.NPTS; i++) { + a = (4.0 * (this.Y[i-1] - this.X[i-1]) - this.T) / (32.0 * eps); + if (a <= 0.0) { + this.U[getIdx(i, 1, this.NPTS)] + = 0.75 - 0.25 / (1.0 + Math.exp(a)); + this.U[getIdx(i, 2, this.NPTS)] + = 0.75 + 0.25 / (1.0 + Math.exp(a)); + } + else { + a = -a; + this.U[getIdx(i, 1, this.NPTS)] + = 0.75 - 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); + this.U[getIdx(i, 2, this.NPTS)] + = 0.75 + 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); + } + } + + } + + } + + public static class INIDOM extends D03RB.Abstract_D03RB_INIDOM { + + public void eval() { + int ifail, leniwk; + int[] icold, ilbndd, irowd, lbndd, llbndd, lrowd; + int[] iwk = new int[122]; + String[] pgrid = new String[11]; + + for (int i = 0; i < 11; i++) { + pgrid[i] = " "; + } + + icold = new int[]{ + 0,1,2,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5, + 6,7,8,9,10,0,1,2,3,4,5,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4, + 5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,0,1,2,3,4, + 5,6,7,8,0,1,2,3,4,5,6,7,8 + }; + + ilbndd = new int[]{ + 1,2,3,4,1,4,1,2,3,4,3,4,1,2,12,23,34,41,14,41,12,23,34,41,43,14, + 21,32 + }; + + irowd = new int[]{0,1,2,3,4,5,6,7,8,9,10}; + + lbndd = new int[]{ + 2,4,15,26,37,46,57,68,79,88,98,99,100,101,102,103,104,96,86,85, + 84,83,82,70,59,48,39,28,17,6,8,9,10,11,12,13,18,29,40,49,60,72, + 73,74,75,76,77,67,56,45,36,25,33,32,42,52,53,43,1,97,105,87,81, + 3,7,71,78,14,31,51,54,34 + }; + + llbndd = new int[]{ + 1,2,11,18,19,24,31,37,42,48,53,55,56,58,59,60,61,62,63,64,65,66, + 67,68,69,70,71,72 + }; + + lrowd = new int[]{1,4,15,26,37,46,57,68,79,88,97}; + + this.NX = 11; + this.NY = 11; + + // Check MAXPTS against rough estimate of NPTS. + this.NPTS = this.NX * this.NY; + if (this.MAXPTS < this.NPTS) { + this.IERR = -1; + return; + } + + this.XMIN = 0.0; + this.YMIN = 0.0; + this.XMAX = 1.0; + this.YMAX = 1.0; + + this.NROWS = 11; + this.NPTS = 105; + this.NBNDS = 28; + this.NBPTS = 72; + + for (int i = 0; i < this.NROWS; i++) { + this.LROW[i] = lrowd[i]; + this.IROW[i] = irowd[i]; + } + + for (int i = 0; i < this.NBNDS; i++) { + this.LLBND[i] = llbndd[i]; + this.ILBND[i] = ilbndd[i]; + } + + for (int i = 0; i < this.NBPTS; i++) { + this.LBND[i] = lbndd[i]; + } + + for (int i = 0; i < this.NPTS; i++) { + this.ICOL[i] = icold[i]; + } + + } + + } + + public static class PDEDEF extends D03RB.Abstract_D03RB_PDEDEF { + + public void eval() { + + double eps = 1E-3; + int n = this.NPTS; // For concise getIdx calls + + for (int i = 1; i <= n; i++) { + this.RES[getIdx(i, 1, n)] + = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 1, n)] + - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 1, n)] + + eps * (this.UXX[getIdx(i, 1, n)] + + this.UYY[getIdx(i, 1, n)]); + this.RES[getIdx(i, 2, n)] + = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 2, n)] + - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 2, n)] + + eps * (this.UXX[getIdx(i, 2, n)] + + this.UYY[getIdx(i, 2, n)]); + this.RES[getIdx(i, 1, n)] + = this.UT[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; + this.RES[getIdx(i, 2, n)] + = this.UT[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; + } + + } + + } + + public static class BNDARY extends D03RB.Abstract_D03RB_BNDARY { + + public void eval() { + + double a, eps = 1E-3; + int i, n = this.NPTS; + + for (int k = this.LLBND[0]; k <= this.NBPTS; k++) { + i = this.LBND[k - 1]; + a = (-4.0 * this.X[i - 1] + 4.0 * this.Y[i - 1] - this.T) + / (32.0 * eps); + + if (a <= 0.0) { + this.RES[getIdx(i, 1, n)] + = 0.75 - 0.25 / (1.0 + Math.exp(a)); + this.RES[getIdx(i, 2, n)] + = 0.75 + 0.25 / (1.0 + Math.exp(a)); + } + else { + a = -a; + this.RES[getIdx(i, 1, n)] + = 0.75 - (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); + this.RES[getIdx(i, 2, n)] + = 0.75 + (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); + } + + this.RES[getIdx(i, 1, n)] + = this.U[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; + this.RES[getIdx(i, 2, n)] + = this.U[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; + + } + + } + + } + + public static class MONITR extends D03RB.Abstract_D03RB_MONITR { + + public void eval() { + + D03RZ d03rz = new D03RZ(); + double aprxU, exctU, aprxV, exctV; + int maxpts = 6000; + int ifail, ipsol, npts; + double[] uex = new double[105*2], x = new double[maxpts], + y = new double[maxpts]; + + for (int level = 0; level < this.NLEV; level++) { + + if (!this.TLAST) { + break; + } + + ipsol = this.LSOL[level]; + + // Get grid information + ifail = -1; + npts = 0; + d03rz.eval( + level + 1, this.NLEV, this.XMIN, this.YMIN, this.DXB, + this.DYB, this.LGRID, this.ISTRUC, npts, x, y, maxpts, + ifail + ); + ifail = d03rz.getIFAIL(); + npts = d03rz.getNPTS(); + + if (ifail != 0) { + this.IERR = 1; + break; + } + + // Skip printing? + if (!do_monitr || (level != 0)) { + continue; + } + + // Get exact solution + pdeiv.eval(npts, this.NPDE, this.T, x, y, uex); + + System.out.println(); + System.out.printf( + " Solution at every 2nd grid point in level %d at" + + " time %8.4f:\n\n", level + 1, this.T + ); + System.out.print( + " x y approx u exact u approx v" + + " exact v\n\n" + ); + + ipsol = this.LSOL[level]; + + for (int i = 0; i < npts; i += 2) { + aprxU = this.SOL[ipsol + i]; + exctU = uex[getIdx(i+1, 1, npts)]; + aprxV = this.SOL[ipsol + npts + i]; + exctV = uex[getIdx(i+1, 2, npts)]; + System.out.printf( + " %9.2f %9.2f %9.2f %9.2f %9.2f %9.2f\n", + x[i], y[i], aprxU, exctU, aprxV, exctV + ); + } + System.out.println(); + + } + + } + + } + + /** + * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based + * Java index. + * + *

    Fortran array definition: + * a(dimX, *) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + +} diff --git a/simple_examples/D05BAJE.java b/simple_examples/int32/D05BAJE.java similarity index 100% rename from simple_examples/D05BAJE.java rename to simple_examples/int32/D05BAJE.java diff --git a/simple_examples/D05BEJE.java b/simple_examples/int32/D05BEJE.java similarity index 100% rename from simple_examples/D05BEJE.java rename to simple_examples/int32/D05BEJE.java diff --git a/simple_examples/DTFSMJE.java b/simple_examples/int32/DTFSMJE.java similarity index 100% rename from simple_examples/DTFSMJE.java rename to simple_examples/int32/DTFSMJE.java diff --git a/simple_examples/E01DAJE.java b/simple_examples/int32/E01DAJE.java similarity index 100% rename from simple_examples/E01DAJE.java rename to simple_examples/int32/E01DAJE.java diff --git a/simple_examples/E02ALJE.java b/simple_examples/int32/E02ALJE.java similarity index 100% rename from simple_examples/E02ALJE.java rename to simple_examples/int32/E02ALJE.java diff --git a/simple_examples/E04ABJE.java b/simple_examples/int32/E04ABJE.java similarity index 100% rename from simple_examples/E04ABJE.java rename to simple_examples/int32/E04ABJE.java diff --git a/simple_examples/E04BBJE.java b/simple_examples/int32/E04BBJE.java similarity index 100% rename from simple_examples/E04BBJE.java rename to simple_examples/int32/E04BBJE.java diff --git a/simple_examples/E04CBJE.java b/simple_examples/int32/E04CBJE.java similarity index 100% rename from simple_examples/E04CBJE.java rename to simple_examples/int32/E04CBJE.java diff --git a/simple_examples/E04FCJE.java b/simple_examples/int32/E04FCJE.java similarity index 100% rename from simple_examples/E04FCJE.java rename to simple_examples/int32/E04FCJE.java diff --git a/simple_examples/E04FFJE.java b/simple_examples/int32/E04FFJE.java similarity index 100% rename from simple_examples/E04FFJE.java rename to simple_examples/int32/E04FFJE.java diff --git a/simple_examples/E04GBJE.java b/simple_examples/int32/E04GBJE.java similarity index 100% rename from simple_examples/E04GBJE.java rename to simple_examples/int32/E04GBJE.java diff --git a/simple_examples/E04GGJE.java b/simple_examples/int32/E04GGJE.java similarity index 100% rename from simple_examples/E04GGJE.java rename to simple_examples/int32/E04GGJE.java diff --git a/simple_examples/E04MTJE.java b/simple_examples/int32/E04MTJE.java similarity index 100% rename from simple_examples/E04MTJE.java rename to simple_examples/int32/E04MTJE.java diff --git a/simple_examples/E04MXJE.java b/simple_examples/int32/E04MXJE.java similarity index 100% rename from simple_examples/E04MXJE.java rename to simple_examples/int32/E04MXJE.java diff --git a/simple_examples/E04NCJE.java b/simple_examples/int32/E04NCJE.java similarity index 100% rename from simple_examples/E04NCJE.java rename to simple_examples/int32/E04NCJE.java diff --git a/simple_examples/E04NFJE.java b/simple_examples/int32/E04NFJE.java similarity index 100% rename from simple_examples/E04NFJE.java rename to simple_examples/int32/E04NFJE.java diff --git a/simple_examples/E04NKJE.java b/simple_examples/int32/E04NKJE.java similarity index 100% rename from simple_examples/E04NKJE.java rename to simple_examples/int32/E04NKJE.java diff --git a/simple_examples/E04NQJE.java b/simple_examples/int32/E04NQJE.java similarity index 100% rename from simple_examples/E04NQJE.java rename to simple_examples/int32/E04NQJE.java diff --git a/simple_examples/E04PTJE.java b/simple_examples/int32/E04PTJE.java similarity index 100% rename from simple_examples/E04PTJE.java rename to simple_examples/int32/E04PTJE.java diff --git a/simple_examples/E04RPJE.java b/simple_examples/int32/E04RPJE.java similarity index 100% rename from simple_examples/E04RPJE.java rename to simple_examples/int32/E04RPJE.java diff --git a/simple_examples/E04RSJE.java b/simple_examples/int32/E04RSJE.java similarity index 100% rename from simple_examples/E04RSJE.java rename to simple_examples/int32/E04RSJE.java diff --git a/simple_examples/E04RTJE.java b/simple_examples/int32/E04RTJE.java similarity index 100% rename from simple_examples/E04RTJE.java rename to simple_examples/int32/E04RTJE.java diff --git a/simple_examples/E04SAJE.java b/simple_examples/int32/E04SAJE.java similarity index 100% rename from simple_examples/E04SAJE.java rename to simple_examples/int32/E04SAJE.java diff --git a/simple_examples/E04TAJE.java b/simple_examples/int32/E04TAJE.java similarity index 100% rename from simple_examples/E04TAJE.java rename to simple_examples/int32/E04TAJE.java diff --git a/simple_examples/E04TCJE.java b/simple_examples/int32/E04TCJE.java similarity index 100% rename from simple_examples/E04TCJE.java rename to simple_examples/int32/E04TCJE.java diff --git a/simple_examples/E04UCJE.java b/simple_examples/int32/E04UCJE.java similarity index 100% rename from simple_examples/E04UCJE.java rename to simple_examples/int32/E04UCJE.java diff --git a/simple_examples/E04YAJE.java b/simple_examples/int32/E04YAJE.java similarity index 100% rename from simple_examples/E04YAJE.java rename to simple_examples/int32/E04YAJE.java diff --git a/simple_examples/F01ADJE.java b/simple_examples/int32/F01ADJE.java similarity index 100% rename from simple_examples/F01ADJE.java rename to simple_examples/int32/F01ADJE.java diff --git a/simple_examples/F01CKJE.java b/simple_examples/int32/F01CKJE.java similarity index 100% rename from simple_examples/F01CKJE.java rename to simple_examples/int32/F01CKJE.java diff --git a/simple_examples/F01CRJE.java b/simple_examples/int32/F01CRJE.java similarity index 100% rename from simple_examples/F01CRJE.java rename to simple_examples/int32/F01CRJE.java diff --git a/simple_examples/F01DGJE.java b/simple_examples/int32/F01DGJE.java similarity index 100% rename from simple_examples/F01DGJE.java rename to simple_examples/int32/F01DGJE.java diff --git a/simple_examples/int32/F01ELJE.java b/simple_examples/int32/F01ELJE.java new file mode 100644 index 0000000..9986c6c --- /dev/null +++ b/simple_examples/int32/F01ELJE.java @@ -0,0 +1,89 @@ +import com.nag.routines.F01.F01EL; +import com.nag.routines.Routine; +import com.nag.routines.X04.X04CA; +import com.nag.types.NAGComplex; +import com.nag.types.NAGComplexInterface; +import java.util.Arrays; + +/** + * F01EL example program text. + * @author joed + */ +public class F01ELJE { + + public static void main(String[] args) { + + F01EL f01el = new F01EL(); + X04CA x04ca = new X04CA(); + + FCos2 fcos2 = new FCos2(); + double imnorm; + int i, ifail, iflag, lda, n; + double[] a, ruser = new double[1]; + int[] iuser = new int[1]; + + Routine.setComplex(new NAGComplex()); + + System.out.println(" F01ELJ Example Program Results"); + System.out.println(); + + // Problem data + n = 4; + a = new double[] { + 3.0, -1.0, 0.0, 2.0, 0.0, 1.0, 2.0, 1.0, 1.0, 3.0, 2.0, -1.0, 2.0, 1.0, 1.0, 1.0 + }; + + // Find f(A) + lda = n; + iflag = 0; + imnorm = 0; + ifail = 0; + f01el.eval(n, a, lda, fcos2, iuser, ruser, iflag, imnorm, ifail); + + // Print solution + ifail = 0; + x04ca.eval("G", "N", n, n, a, lda, "F(A) = COS(2A)", ifail); + + // Print the norm of the imaginary part to check it is small + System.out.println(); + System.out.println(" Imnorm = " + imnorm); + + } + + public static class FCos2 extends F01EL.Abstract_F01EL_F { + + /* These methods should really be part of an extension of NAGComplex. */ + + private NAGComplex complexCos(NAGComplexInterface z) { + NAGComplex cosz = new NAGComplex(); + cosz.setRe(Math.cos(z.getRe()) * Math.cosh(z.getIm())); + cosz.setIm(-Math.sin(z.getRe()) * Math.sinh(z.getIm())); + return cosz; + } + + private NAGComplex complexMult(NAGComplexInterface a, NAGComplexInterface b) { + NAGComplex ab = new NAGComplex(); + ab.setRe((a.getRe()*b.getRe()) - (a.getIm()*b.getIm())); + ab.setIm((a.getRe()*b.getIm()) + (a.getIm()*b.getRe())); + return ab; + } + + /* Calculate F(A) = COS(2A) */ + + public void eval() { + + NAGComplex two = new NAGComplex(); + two.setRe(2.0); + two.setIm(0.0); + + for (int i = 0; i < this.NZ; i++) { + this.FZ[i] = (NAGComplex) complexCos(complexMult(two, this.Z[i])); + } + + this.IFLAG = 0; + + } + + } + +} diff --git a/simple_examples/F01EMJE.java b/simple_examples/int32/F01EMJE.java similarity index 100% rename from simple_examples/F01EMJE.java rename to simple_examples/int32/F01EMJE.java diff --git a/simple_examples/int32/F02EKJE.java b/simple_examples/int32/F02EKJE.java new file mode 100644 index 0000000..3737022 --- /dev/null +++ b/simple_examples/int32/F02EKJE.java @@ -0,0 +1,227 @@ +import com.nag.routines.F02.F02EK; +import com.nag.routines.F12.F12AD; +import com.nag.routines.Routine; +import com.nag.routines.X02.X02AJ; +import com.nag.types.NAGComplex; +import com.nag.types.NAGComplexInterface; +import java.util.Arrays; + +/** + * F02EK example program text. + * @author joed + */ +public class F02EKJE { + + public static MYMONIT mymonit = new MYMONIT(); + public static MYOPTION myoption = new MYOPTION(); + + public static void main(String[] args) { + F02EK f02ek = new F02EK(); + X02AJ x02aj = new X02AJ(); + double h, rho, s, sigma; + int ifail, imon, k, ldv, maxit, mode, n, nconv, ncv, nev, nnz, nx, + prtlvl; + NAGComplex complex = new NAGComplex(); + double[] a, resid, v, ruser = new double[1]; + int[] icolzp, irowix, iuser = new int[4]; + NAGComplex[] w; + + Routine.setComplex(complex); + + System.out.println(" F02EKJ Example Program Results"); + System.out.println(); + + nx = 10; + nev = 4; + ncv = 20; + rho = 10.0; + sigma = 5.5; + + n = nx * nx; + nnz = 3*n - 2; + ldv = n; + + resid = new double[ncv]; + a = new double[nnz]; + icolzp = new int[n + 1]; + irowix = new int[nnz]; + w = (NAGComplex[]) complex.getArrayOfInstances(ncv); + v = new double[ldv * ncv]; + + // Construct A in compressed column storage (CCS) format where: + // A{ i , i } = 2 + i + // A{i+1, i } = 3 + // A{ i , i+1} = rho/(2n+2) - 1 + + h = 1.0 / (double)(n+1); + s = (rho * h / 2.0) - 1.0; + + a[0] = 2.0 + 1.0; + a[1] = 3.0; + icolzp[0] = 1; + irowix[0] = 1; + irowix[1] = 2; + k = 3; + + for (int i = 1; i < n - 1; i++) { + icolzp[i] = k; + irowix[k - 1] = i; + irowix[k] = i + 1; + irowix[k + 1] = i + 2; + a[k - 1] = s; + a[k] = 2.0 + (double)(i + 1); + a[k + 1] = 3.0; + k += 3; + } + + icolzp[n - 1] = k; + icolzp[n] = k + 2; + irowix[k - 1] = n - 1; + irowix[k] = n; + a[k - 1] = s; + a[k] = 2.0 + (double)(n); + + // Set some options via iuser array and return routine argument OPTION + // iuser[0] = print level + // iuser[1] = iteration limit + // iuser[2] > 0 means shifted-invert mode + // iuser[3] > 0 means print monitoring info + + prtlvl = 0; + maxit = 500; + mode = 1; + imon = 1; + + if (prtlvl > 0) { + imon = 0; + } + + iuser[0] = prtlvl; + iuser[1] = maxit; + iuser[2] = mode; + iuser[3] = imon; + + nconv = 0; // placeholder value, nconv is output only + ifail = 0; // hard exit on error + + f02ek.eval( + n, nnz, a, icolzp, irowix, nev, ncv, sigma, mymonit, myoption, + nconv, w, v, ldv, resid, iuser, ruser, ifail + ); + ifail = f02ek.getIFAIL(); + nconv = f02ek.getNCONV(); + + System.out.println(); + System.out.printf( + " The %4d Ritz values of closest to %13.5E are:\n", nconv, sigma + ); + + // Get machine precision + double mp = x02aj.eval(); + + for (int i = 0; i < nconv; i++) { + if (resid[i] > (double)(100*n*mp)) { + System.out.printf( + " %8d ( %13.5E , %13.5E ) %13.5E\n", + i + 1, w[i], resid[i] + ); + } + else { + System.out.printf( + " %8d ( %13.5E , %13.5E )\n", + i + 1, w[i].getRe(), w[i].getIm() + ); + } + } + + } + + public static class MYOPTION extends F02EK.Abstract_F02EK_OPTION { + + public void eval() { + F12AD f12ad = new F12AD(); + int ifail1; + String rec = " "; + + this.ISTAT = 0; + + if (this.IUSER[0] > 0) { + System.out.printf("Print Level=%5d\n", this.IUSER[0]); + ifail1 = 1; + f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[1] > 100) { + System.out.printf("Iteration Limit=%5d\n", this.IUSER[1]); + ifail1 = 1; + f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[2] > 0) { + ifail1 = 1; + f12ad.eval( + "Shifted Inverse Real ", this.ICOMM, this.COMM, ifail1 + ); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + } + + } + + public static class MYMONIT extends F02EK.Abstract_F02EK_MONIT { + + public NAGComplexInterface[] getW() { + return this.W; + } + + public void eval() { + + if (this.IUSER[3] > 0) { + + if (this.NITER == 1 && this.IUSER[2] > 0) { + System.out.printf( + " Arnoldi basis vectors used:%4d\n", this.NCV + ); + System.out.printf( + " The following Ritz values (mu) are related to the\n" + + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" + ); + } + + System.out.println(); + System.out.printf(" Iteration number %4d\n", this.NITER); + System.out.printf( + " Ritz values converged so far (%4d) and their Ritz" + + " estimates:\n", this.NCONV + ); + + for (int i = 0; i < this.NCONV; i++) { + System.out.printf( + " %4d (%13.5E,%13.5E) %13.5E\n", + i + 1, this.W[i].getRe(), this.W[i].getIm(), + this.RZEST[i] + ); + } + + System.out.printf(" Next (unconverged) Ritz value:\n"); + + System.out.printf( + " %4d (%13.5E,%13.5E)\n", + this.NCONV + 1, this.W[NCONV].getRe(), this.W[NCONV].getIm() + ); + + } + + this.ISTAT = 0; + + } + + } + +} diff --git a/simple_examples/int32/F02FKJE.java b/simple_examples/int32/F02FKJE.java new file mode 100644 index 0000000..0dd7ab9 --- /dev/null +++ b/simple_examples/int32/F02FKJE.java @@ -0,0 +1,230 @@ +import com.nag.routines.F02.F02FK; +import com.nag.routines.F12.F12FD; +import com.nag.routines.X04.X04AB; +import com.nag.routines.X04.X04CA; +import java.util.Arrays; + +/** + * F02FK example program text. + * @author joed + */ +public class F02FKJE { + + public static MYMONIT mymonit = new MYMONIT(); + public static MYOPTION myoption = new MYOPTION(); + + public static void main(String[] args) { + F02FK f02fk = new F02FK(); + X04AB x04ab = new X04AB(); + X04CA x04ca = new X04CA(); + double h2, sigma; + int iset = 1, ifail, imon, k, ldv, lo, maxit, mode, n, nconv, ncv, nev, + nnz, nx, outchn, prtlvl; + double[] a, dPrint, resid, v, w, ruser = new double[1]; + int[] icol, irow, iuser = new int[4]; + + + System.out.println(" F02FKJ Example Program Results"); + System.out.println(); + + nx = 20; + nev = 8; + ncv = 20; + sigma = 1.0; + + // Construct the matrix A in sparse form and store in A. + // The main diagonal of A is full and there are two subdiagonals of A: + // the first and the nx-th. + + n = nx * nx; + nnz = (3 * n) - (2 * nx); + a = new double[nnz]; + irow = new int[nnz]; + icol = new int[nnz]; + + // Zero out A. + Arrays.fill(a, 0.0); + + // Main diagonal of A. + h2 = 1.0 / (double)((nx + 1) * (nx + 1)); + for (int i = 1; i <= n; i++) { + irow[i - 1] = i; + icol[i - 1] = i; + a[i - 1] = 4.0 / h2; + } + + // First subdiagonal of A. + k = n; + for (int i = 1; i <= nx; i++) { + lo = (i - 1) * nx; + for (int j = lo + 1; j <= lo + nx - 1; j++) { + k += 1; + irow[k - 1] = j + 1; + icol[k - 1] = j; + a[k - 1] = -1.0 / h2; + } + } + + // nx-th subdiagonal. + for (int i = 1; i <= nx - 1; i++) { + lo = (i - 1) * nx; + for (int j = lo + 1; j <= lo + nx; j++) { + k += 1; + irow[k - 1] = j + nx; + icol[k - 1] = j; + a[k - 1] = -1.0 / h2; + } + } + + // Set some options via iuser array and routine argument OPTION. + // iuser[0] = print level, + // iuser[1] = iteration limit, + // iuser[2]>0 means shifted-invert mode + // iuser[3]>0 means print monitoring info + + prtlvl = 0; + maxit = 500; + mode = 1; + imon = 0; + + ruser[0] = 1.0; + iuser[0] = prtlvl; + iuser[1] = maxit; + iuser[2] = mode; + iuser[3] = imon; + + // Find eigenvalues of largest magnitude and the corresponding + // eigenvectors. + + ldv = n; + w = new double[ncv]; + v = new double[ldv * ncv]; + resid = new double[n]; + + nconv = 0; // placeholder + + ifail = -1; + f02fk.eval( + n, nnz, a, irow, icol, nev, ncv, sigma, mymonit, myoption, nconv, + w, v, ldv, resid, iuser, ruser, ifail + ); + ifail = f02fk.getIFAIL(); + nconv = f02fk.getNCONV(); + if (ifail != 0) { + System.err.println(" ** F02FK returned with IFAIL = " + ifail); + } + + + + // Print Eigenvalues and the residual norm ||A*x - lambda*x||. + dPrint = new double[nconv * 2]; + for (int i = 1; i <= nconv; i++) { + dPrint[getIdx(i, 1, nconv)] = w[i - 1]; + dPrint[getIdx(i, 2, nconv)] = resid[i - 1]; + } + + System.out.println(); + + ifail = 0; + x04ca.eval( + "G", "N", nconv, 2, dPrint, nconv, " Ritz values and residuals", + ifail + ); + + } + + public static class MYOPTION extends F02FK.Abstract_F02FK_OPTION { + + public void eval() { + F12FD f12fd = new F12FD(); + int ifail1; + String rec = " "; // Required len = 25 + + this.ISTAT = 0; + + if (this.IUSER[0] > 0) { + System.out.printf(" Print Level=%5d\n", this.IUSER[0]); + ifail1 = 1; + f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12fd.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[1] > 100) { + System.out.printf(" Iteration Limit=%5d\n", this.IUSER[1]); + ifail1 = 1; + f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12fd.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[2] > 0) { + ifail1 = 1; + f12fd.eval( + "Shifted Inverse ", this.ICOMM, this.COMM, ifail1 + ); + ifail1 = f12fd.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + } + + } + + public static class MYMONIT extends F02FK.Abstract_F02FK_MONIT { + + public void eval() { + + if (this.IUSER[3] > 0) { + + if (this.NITER == 1 && this.IUSER[2] > 0) { + System.out.printf( + " Arnoldi basis vectors used:%4d\n", this.NCV + ); + System.out.printf( + " The following Ritz values (mu) are related to the\n" + + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" + ); + } + + System.out.println(); + System.out.printf(" Iteration number %4d\n", this.NITER); + System.out.printf( + " Ritz values converged so far(%4d) and their Ritz" + + " estimates:\n", this.NCONV + ); + + for (int i = 0; i < this.NCONV; i++) { + System.out.printf( + " %4d %13.5E %13.5E\n", i+1, this.W[i], this.RZEST[i] + ); + } + + System.out.printf(" Next (uncoverged) Ritz value:\n"); + System.out.printf( + " %4d %13.5E\n", this.NCONV + 1, this.W[this.NCONV + 1] + ); + + } + + this.ISTAT = 0; + + } + + } + + /** + * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based + * Java index. + * + *

    Fortran array definition: + * a(dimX, *) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + +} diff --git a/simple_examples/int32/F02WGJE.java b/simple_examples/int32/F02WGJE.java new file mode 100644 index 0000000..36c26c6 --- /dev/null +++ b/simple_examples/int32/F02WGJE.java @@ -0,0 +1,132 @@ +import com.nag.routines.F02.F02WG; +import java.util.Arrays; + +/** + * F02WG example program text. + * @author joed + */ +public class F02WGJE { + + public static AV av = new AV(); + + public static void main(String[] args) { + int ifail, k, ldu, ldv, m, n, nconv, ncv; + double[] resid, sigma, u, v; + double[] ruser = new double[1]; + int[] iuser = new int[1]; + + /* Set up wrappers */ + F02WG f02wg = new F02WG(); + + System.out.println(" F02WGJ Example Program Results\n"); + + /* Set F02WG args */ + m = 100; + n = 500; + k = 4; + ncv = 10; + nconv = 0; + ldu = m; + ldv = n; + resid = new double[ncv]; + sigma = new double[ncv]; + u = new double[ldu * ncv]; + v = new double[ldv * ncv]; + ifail = 0; + + /* Call routine */ + f02wg.eval( + m, // Rows in A + n, // Cols in A + k, // Num. of singular values to be computed + ncv, // Dimension of sigma and resid + av, // Subroutine that returns Ax or (A^T)x + nconv, // [Output] + sigma, // [Output] + u, // [Output] + ldu, // 1st dimension of u + v, // [Output] + ldv, // 1st dimension of v + resid, // [Output] + iuser, + ruser, + ifail + ); + + /* Get non-array output args */ + ifail = f02wg.getIFAIL(); + nconv = f02wg.getNCONV(); + + /* Print results */ + System.out.println(" Singular Value Residual"); + for (int i = 0; i < nconv; i++) { + System.out.printf( + " %10.5f %10.2G\n", sigma[i], resid[i] + ); + } + + } + + public static class AV extends F02WG.Abstract_F02WG_AV { + + public void eval() { + + double H = 1.0 / ((double)(this.M + 1)); + double K = 1.0 / ((double)(this.N + 1)); + + if (this.IFLAG == 1) { + + for (int i = 0; i < this.M; i++) { + this.AX[i] = 0.0; + } + + double S = 0.0; + double T = 0.0; + + for (int j = 0; j < this.N; j++) { + T += K; + S = 0.0; + + for (int i = 0; i < Math.min(j+1, this.M); i++) { + S += H; + this.AX[i] += K * S * (T - 1.0) * this.X[j]; + } + for (int i = j + 1; i < this.M; i++) { + S += H; + this.AX[i] += K * T * (S - 1.0) * this.X[j]; + } + + } + + } + else { + + for (int i = 0; i < this.N; i++) { + this.AX[i] = 0.0; + } + + double S = 0.0; + double T = 0.0; + + for (int j = 0; j < this.N; j++) { + T += K; + S = 0.0; + + for (int i = 0; i < Math.min(j+1, this.M); i++) { + S += H; + this.AX[j] += K * S * (T - 1.0) * this.X[i]; + } + for (int i = j + 1; i < this.M; i++) { + S += H; + this.AX[j] += K * T * (S - 1.0) * this.X[i]; + } + + } + + } + + } + + } + +} diff --git a/simple_examples/F03BAJE.java b/simple_examples/int32/F03BAJE.java similarity index 100% rename from simple_examples/F03BAJE.java rename to simple_examples/int32/F03BAJE.java diff --git a/simple_examples/F04AMJE.java b/simple_examples/int32/F04AMJE.java similarity index 100% rename from simple_examples/F04AMJE.java rename to simple_examples/int32/F04AMJE.java diff --git a/simple_examples/F04BAJE.java b/simple_examples/int32/F04BAJE.java similarity index 100% rename from simple_examples/F04BAJE.java rename to simple_examples/int32/F04BAJE.java diff --git a/simple_examples/F05AAJE.java b/simple_examples/int32/F05AAJE.java similarity index 100% rename from simple_examples/F05AAJE.java rename to simple_examples/int32/F05AAJE.java diff --git a/simple_examples/F06CLJE.java b/simple_examples/int32/F06CLJE.java similarity index 100% rename from simple_examples/F06CLJE.java rename to simple_examples/int32/F06CLJE.java diff --git a/simple_examples/F07AAJE.java b/simple_examples/int32/F07AAJE.java similarity index 100% rename from simple_examples/F07AAJE.java rename to simple_examples/int32/F07AAJE.java diff --git a/simple_examples/F07ABJE.java b/simple_examples/int32/F07ABJE.java similarity index 100% rename from simple_examples/F07ABJE.java rename to simple_examples/int32/F07ABJE.java diff --git a/simple_examples/F07ADJE.java b/simple_examples/int32/F07ADJE.java similarity index 100% rename from simple_examples/F07ADJE.java rename to simple_examples/int32/F07ADJE.java diff --git a/simple_examples/F07AQJE.java b/simple_examples/int32/F07AQJE.java similarity index 100% rename from simple_examples/F07AQJE.java rename to simple_examples/int32/F07AQJE.java diff --git a/simple_examples/F07FAJE.java b/simple_examples/int32/F07FAJE.java similarity index 100% rename from simple_examples/F07FAJE.java rename to simple_examples/int32/F07FAJE.java diff --git a/simple_examples/F07FBJE.java b/simple_examples/int32/F07FBJE.java similarity index 100% rename from simple_examples/F07FBJE.java rename to simple_examples/int32/F07FBJE.java diff --git a/simple_examples/F08BTJE.java b/simple_examples/int32/F08BTJE.java similarity index 100% rename from simple_examples/F08BTJE.java rename to simple_examples/int32/F08BTJE.java diff --git a/simple_examples/F08FAJE.java b/simple_examples/int32/F08FAJE.java similarity index 100% rename from simple_examples/F08FAJE.java rename to simple_examples/int32/F08FAJE.java diff --git a/simple_examples/F08XPJE.java b/simple_examples/int32/F08XPJE.java similarity index 100% rename from simple_examples/F08XPJE.java rename to simple_examples/int32/F08XPJE.java diff --git a/simple_examples/G01ALJE.java b/simple_examples/int32/G01ALJE.java similarity index 100% rename from simple_examples/G01ALJE.java rename to simple_examples/int32/G01ALJE.java diff --git a/simple_examples/G02AKJE.java b/simple_examples/int32/G02AKJE.java similarity index 100% rename from simple_examples/G02AKJE.java rename to simple_examples/int32/G02AKJE.java diff --git a/simple_examples/G02BJJE.java b/simple_examples/int32/G02BJJE.java similarity index 100% rename from simple_examples/G02BJJE.java rename to simple_examples/int32/G02BJJE.java diff --git a/simple_examples/G02BRJE.java b/simple_examples/int32/G02BRJE.java similarity index 100% rename from simple_examples/G02BRJE.java rename to simple_examples/int32/G02BRJE.java diff --git a/simple_examples/G02DAJE.java b/simple_examples/int32/G02DAJE.java similarity index 100% rename from simple_examples/G02DAJE.java rename to simple_examples/int32/G02DAJE.java diff --git a/simple_examples/G02EEJE.java b/simple_examples/int32/G02EEJE.java similarity index 100% rename from simple_examples/G02EEJE.java rename to simple_examples/int32/G02EEJE.java diff --git a/simple_examples/G02MAJE.java b/simple_examples/int32/G02MAJE.java similarity index 100% rename from simple_examples/G02MAJE.java rename to simple_examples/int32/G02MAJE.java diff --git a/simple_examples/G03GAJE.java b/simple_examples/int32/G03GAJE.java similarity index 100% rename from simple_examples/G03GAJE.java rename to simple_examples/int32/G03GAJE.java diff --git a/simple_examples/G05KFJE.java b/simple_examples/int32/G05KFJE.java similarity index 100% rename from simple_examples/G05KFJE.java rename to simple_examples/int32/G05KFJE.java diff --git a/simple_examples/G13AWJE.java b/simple_examples/int32/G13AWJE.java similarity index 100% rename from simple_examples/G13AWJE.java rename to simple_examples/int32/G13AWJE.java diff --git a/simple_examples/G13MEJE.java b/simple_examples/int32/G13MEJE.java similarity index 100% rename from simple_examples/G13MEJE.java rename to simple_examples/int32/G13MEJE.java diff --git a/simple_examples/G13NAJE.java b/simple_examples/int32/G13NAJE.java similarity index 100% rename from simple_examples/G13NAJE.java rename to simple_examples/int32/G13NAJE.java diff --git a/simple_examples/H02BBJE.java b/simple_examples/int32/H02BBJE.java similarity index 100% rename from simple_examples/H02BBJE.java rename to simple_examples/int32/H02BBJE.java diff --git a/simple_examples/H02DAJE.java b/simple_examples/int32/H02DAJE.java similarity index 100% rename from simple_examples/H02DAJE.java rename to simple_examples/int32/H02DAJE.java diff --git a/simple_examples/M01CCJE.java b/simple_examples/int32/M01CCJE.java similarity index 100% rename from simple_examples/M01CCJE.java rename to simple_examples/int32/M01CCJE.java diff --git a/simple_examples/S01BAJE.java b/simple_examples/int32/S01BAJE.java similarity index 100% rename from simple_examples/S01BAJE.java rename to simple_examples/int32/S01BAJE.java diff --git a/simple_examples/S10AAJE.java b/simple_examples/int32/S10AAJE.java similarity index 100% rename from simple_examples/S10AAJE.java rename to simple_examples/int32/S10AAJE.java diff --git a/simple_examples/S10ABJE.java b/simple_examples/int32/S10ABJE.java similarity index 100% rename from simple_examples/S10ABJE.java rename to simple_examples/int32/S10ABJE.java diff --git a/simple_examples/S10ACJE.java b/simple_examples/int32/S10ACJE.java similarity index 100% rename from simple_examples/S10ACJE.java rename to simple_examples/int32/S10ACJE.java diff --git a/simple_examples/S14ABJE.java b/simple_examples/int32/S14ABJE.java similarity index 100% rename from simple_examples/S14ABJE.java rename to simple_examples/int32/S14ABJE.java diff --git a/simple_examples/S14ACJE.java b/simple_examples/int32/S14ACJE.java similarity index 100% rename from simple_examples/S14ACJE.java rename to simple_examples/int32/S14ACJE.java diff --git a/simple_examples/S14AFJE.java b/simple_examples/int32/S14AFJE.java similarity index 100% rename from simple_examples/S14AFJE.java rename to simple_examples/int32/S14AFJE.java diff --git a/simple_examples/S17DCJE.java b/simple_examples/int32/S17DCJE.java similarity index 100% rename from simple_examples/S17DCJE.java rename to simple_examples/int32/S17DCJE.java diff --git a/simple_examples/S17DGJE.java b/simple_examples/int32/S17DGJE.java similarity index 100% rename from simple_examples/S17DGJE.java rename to simple_examples/int32/S17DGJE.java diff --git a/simple_examples/S30AAJE.java b/simple_examples/int32/S30AAJE.java similarity index 100% rename from simple_examples/S30AAJE.java rename to simple_examples/int32/S30AAJE.java diff --git a/simple_examples/S30ACJE.java b/simple_examples/int32/S30ACJE.java similarity index 100% rename from simple_examples/S30ACJE.java rename to simple_examples/int32/S30ACJE.java diff --git a/simple_examples/X03AAJE.java b/simple_examples/int32/X03AAJE.java similarity index 100% rename from simple_examples/X03AAJE.java rename to simple_examples/int32/X03AAJE.java diff --git a/simple_examples/X04CBJE.java b/simple_examples/int32/X04CBJE.java similarity index 100% rename from simple_examples/X04CBJE.java rename to simple_examples/int32/X04CBJE.java diff --git a/simple_examples/X05ABJE.java b/simple_examples/int32/X05ABJE.java similarity index 100% rename from simple_examples/X05ABJE.java rename to simple_examples/int32/X05ABJE.java diff --git a/simple_examples/int64/A00AAJE.java b/simple_examples/int64/A00AAJE.java new file mode 100644 index 0000000..490c163 --- /dev/null +++ b/simple_examples/int64/A00AAJE.java @@ -0,0 +1,14 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.A00.A00AA; +import com.nag.routines.Routine; + +public class A00AAJE { + + public static void main (String[] args) throws NAGBadIntegerException { + Routine.init(); + A00AA a00aa = new A00AA(); + System.out.println(" A00AAJ Example Program Results\n"); + a00aa.eval(); + } + +} diff --git a/simple_examples/int64/A00ADJE.java b/simple_examples/int64/A00ADJE.java new file mode 100644 index 0000000..8250321 --- /dev/null +++ b/simple_examples/int64/A00ADJE.java @@ -0,0 +1,113 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.A00.A00AD; +import com.nag.routines.Routine; +import java.util.Arrays; + +public class A00ADJE { + + /* Parameters */ + public static final int MSGLEN = 15; + + /** A00ADJ Example Program */ + public static void main (String[] args) throws NAGBadIntegerException { + /* Local Scalars */ + int i; + long mkmaj, mkmin; + boolean licval; + String fcomp = getBlankString(80), hdware = getBlankString(80), + impl = getBlankString(80), opsys = getBlankString(80), + pcode = getBlankString(80), prec = getBlankString(80), + vend = getBlankString(80); + /* Local Arrays */ + int[] itime = new int[7]; + String[] msg = new String[MSGLEN]; + + // Instantiate arguments + mkmaj = 0; + mkmin = 0; + licval = false; + // Strings must be length expected by Fortran + fcomp = getBlankString(80); + hdware = getBlankString(80); + impl = getBlankString(80); + opsys = getBlankString(80); + pcode = getBlankString(80); + prec = getBlankString(80); + vend = getBlankString(80); + for (i = 0; i < MSGLEN; i++) msg[i] = getBlankString(102); + + Routine.init(); + System.out.println(" A00ADJ Example Program Results\n"); + + A00AD a00ad = new A00AD(); + a00ad.eval(impl, prec, pcode, mkmaj, mkmin, hdware, opsys, fcomp, vend, licval); + impl = a00ad.getIMPL(); + prec = a00ad.getPREC(); + pcode = a00ad.getPCODE(); + mkmaj = a00ad.getMKMAJ(); + mkmin = a00ad.getMKMIN(); + hdware = a00ad.getHDWARE(); + opsys = a00ad.getOPSYS(); + fcomp = a00ad.getFCOMP(); + vend = a00ad.getVEND(); + licval = a00ad.getLICVAL(); + + /* Print implementation details */ + + System.out.println("*** Start of NAG Library implementation details ***"); + System.out.println(); + System.out.println("Implementation title: " + impl.trim()); + System.out.println(" Precision: " + prec.trim()); + System.out.println(" Product code: " + pcode.trim()); + + if (mkmin < 10) { + System.out.printf(" Mark: %2d.%1d\n", mkmaj, mkmin); + } + else { + System.out.printf(" Mark: %2d.%2d\n", mkmaj, mkmin); + } + + if (vend.trim().equals("(self-contained)")) { + System.out.println(" Vendor Library: None"); + } + else { + System.out.println(" Vendor Library: " + vend.trim()); + } + + System.out.println("Applicable to:"); + System.out.println(" hardware: " + hdware.trim()); + System.out.println(" operating system: " + opsys.trim()); + System.out.println(" Fortran compiler: " + fcomp.trim()); + System.out.println("and compatible systems."); + + if (!licval) { + System.out.println(" Licence query: Unsuccessful"); + } + else { + System.out.println(" Licence query: Successful"); + } + + System.out.println(); + System.out.println("*** End of NAG Library implementation details ***"); + + } + + /** + * Returns a new String, filled with spaces to the specified length + * + * @param len the required length of the String + * @returns a String of spaces of the specified length + */ + public static String getBlankString(int len) { + + if (len > 0) { + char[] arr = new char[len]; + Arrays.fill(arr, ' '); + return new String(arr); + } + + return ""; + + } + +} diff --git a/simple_examples/int64/C05AYJE.java b/simple_examples/int64/C05AYJE.java new file mode 100644 index 0000000..a3bd5f1 --- /dev/null +++ b/simple_examples/int64/C05AYJE.java @@ -0,0 +1,45 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.C05.C05AY; +import com.nag.routines.Routine; + + +public class C05AYJE { + + public static void main(String[] args) throws NAGBadIntegerException { + + C05AY c05ay = new C05AY(); + OBJFUN f = new OBJFUN(); + double a = 0.0, b = 1.0, eps = 1.0e-5, eta = 0.0, x = 0.0; + long ifail = 0; + long[] iuser = new long[1]; + double[] ruser = new double[1]; + + System.out.println("C05AYJ Example Program Results"); + System.out.println(); + + Routine.init(); + c05ay.eval(a, b, eps, eta, f, x, iuser, ruser, ifail); + x = c05ay.getX(); + + switch ((int)ifail) { + case 0: + System.out.printf("Zero at x = %12.5f\n", x); + break; + case 2: case 3: + System.out.printf("Final point = %12.5f\n", x); + break; + default: + System.out.println("Unexpected ifail = " + ifail); + } + + } + + private static class OBJFUN extends C05AY.Abstract_C05AY_F { + + public double eval() { + return Math.exp(-X) - X; + } + + } + +} diff --git a/simple_examples/int64/C05AZJE.java b/simple_examples/int64/C05AZJE.java new file mode 100644 index 0000000..bec1b03 --- /dev/null +++ b/simple_examples/int64/C05AZJE.java @@ -0,0 +1,65 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.C05.C05AZ; +import com.nag.routines.Routine; +import java.util.logging.Level; +import java.util.logging.Logger; + +public class C05AZJE { + + public static void main (String[] args)throws NAGBadIntegerException{ + double tolx = 0.00001, x = 0.0, y = 1.0, fx; + long ir = 0, ind = 1, ifail = -1; + double[] c = new double[17]; + boolean keepOn = true; + + Routine.init(); + + C05AZ c05az = new C05AZ(); + fx = fun(x); + int ite = 0; + + System.out.println(" C05AZJ Example Program Results\n"); + System.out.println(" Iterations\n"); + while (keepOn) { + ++ite; + + c05az.eval(x,y,fx,tolx,ir,c,ind,ifail); + + x = c05az.getX(); + y = c05az.getY(); + tolx = c05az.getTOLX(); + ir = c05az.getIR(); + ind = c05az.getIND(); + ifail = c05az.getIFAIL(); + + if(ind == 0){ + keepOn = false; + } + else{ + fx = fun(x); + System.out.printf(" X = %7.5f FX = %11.4E IND = %1d\n", x, fx, ind); + } + } + + + + switch ((int)ifail) { + case 0: + System.out.println("\n Solution\n"); + System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); + break; + case 4: + case 5: + System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); + break; + default: + System.out.printf("Unexpected error ifail=%d\n",ifail); + } + } + + private static double fun(double x) { + double res = (Math.expm1(-x) + 1) - x; + return res; + } + +} diff --git a/simple_examples/int64/C05MBJE.java b/simple_examples/int64/C05MBJE.java new file mode 100644 index 0000000..08dd454 --- /dev/null +++ b/simple_examples/int64/C05MBJE.java @@ -0,0 +1,104 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.Routine; +import com.nag.routines.C05.C05MB; +import com.nag.routines.F06.DNRM2; +import com.nag.routines.X02.X02AJ; + +/** + * C05MBJ Example Program Text + * @author joed + * @since 27.0 + */ + /* ** There have been at least 200*(n+1) calls to fcn. + ** Consider restarting the calculation from the point held in x. + ** ABNORMAL EXIT from NAG Library routine + ** NAG soft failure - control returned +*/ +public class C05MBJE { + + private static final int n = 4; + + private static class FCN extends C05MB.Abstract_C05MB_FCN { + + public void eval() { + + FVEC[0] = Math.cos(X[2]) - X[0]; + FVEC[1] = Math.sqrt(1.0 - Math.pow(X[3],2)) - X[1]; + FVEC[2] = Math.sin(X[0]) - X[2]; + FVEC[3] = Math.pow(X[1], 2) - X[3]; + + // Set iflag negative to terminate execution for any reason + IFLAG = 0; + + return; + + } + + } + + /** + * C05MBJ Example Main Program + */ + public static void main(String[] args) throws NAGBadIntegerException { + + C05MB c05mb = new C05MB(); + DNRM2 dnrm2 = new DNRM2(); + X02AJ x02aj = new X02AJ(); + FCN fcn = new FCN(); + long cpuser; + double atol, cndtol, fnorm, machpr, rtol; + long astart, ifail, m; + int i; + double[] fvec, x; + double[] ruser = new double[1]; + long[] iuser = new long[1]; + + System.out.println("C05MBJ Example Program Results\n"); + + // Initialise NAG for Java + Routine.init(); + + // Get machine precision from X02AJ + machpr = (new X02AJ()).eval(); + + fvec = new double[n]; + x = new double[n]; + + // The following starting values provide a rough solution + x = new double[]{2.0, 0.5, 2.0, 0.5}; + + m = 2; + atol = Math.sqrt(machpr); + rtol = Math.sqrt(machpr); + cndtol = 0.0; + astart = 0; + cpuser = 0; + + ifail = -1; + c05mb.eval(fcn, n, x, fvec, atol, rtol, m, cndtol, astart, iuser, ruser, + cpuser, ifail); + ifail = c05mb.getIFAIL(); + + if (ifail==0 || ifail==8 || ifail==9) { + if (ifail==0) { + // The NAG name equivalent of dnrm2 is f06ej + fnorm = dnrm2.eval(n, fvec, 1); + System.out.println(); + System.out.printf("Final 2-norm of the residuals = %12.4e\n", fnorm); + System.out.println(); + System.out.println("Final approximate solution"); + } + else { + System.out.println(); + System.out.println("Approximate solution"); + } + System.out.println(); + for (i = 1; i <= n; i++) { + System.out.printf("%12.4f", x[i-1]); + } + System.out.printf("\n"); + } + + } + +} diff --git a/simple_examples/int64/C05QBJE.java b/simple_examples/int64/C05QBJE.java new file mode 100644 index 0000000..d7a6435 --- /dev/null +++ b/simple_examples/int64/C05QBJE.java @@ -0,0 +1,178 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.C05.C05QB; +import com.nag.routines.F06.DNRM2; +import com.nag.routines.Routine; +import com.nag.routines.X02.X02AJ; + +/** + * + * @author ludovic + */ +public class C05QBJE { + + /** + * @param args the command line arguments + */ + public static void main(String[] args) throws NAGBadIntegerException { + try { + Routine.init(); + + C05QB c05qb = new C05QB(); + + System.out.println(" C05QBJ Example Program Results"); + + int n = 9, ifail = -1; + + double xtol, fnorm; + + long[] IUSER = new long[1]; + double[] fvec = new double[n]; + double[] x = new double[n]; + double[] RUSER = new double[1]; + + + FCN fcn = new FCN(); + + for (int i = 0; i < n; ++i) { + x[i] = -1.0; + } + + xtol = Math.sqrt((new X02AJ()).eval()); + + c05qb.eval(fcn, n, x, fvec, xtol, IUSER, RUSER, ifail); + + ifail = (int)c05qb.getIFAIL(); + + switch (ifail) { + case (0): + fnorm = (new DNRM2(n, fvec, 1)).eval(); + System.out.println(); + System.out.printf(" Final 2-norm of the residuals = %11.4E\n", fnorm); + System.out.println(); + System.out.println(" Final approximate solution"); + int count = 0; + for (int i = 0; i < n; ++i) { + System.out.printf(" %12.4f", x[i]); + ++count; + if(count == 3){ + System.out.println(); + count = 0; + } + } + break; + case (2): + case (3): + case (4): + System.out.println("Approximate solution"); + count = 0; + for (int i = 0; i < n; ++i) { + System.out.printf(" %12.4f", x[i]); + ++count; + if(count == 3){ + System.out.println(); + count = 0; + } + } + + break; + } + + } catch (NAGBadIntegerException ex) { + System.err.println("Something went wrong!\n" + ex.getMessage()); + } + + + } + + public static class FCN implements C05QB.C05QB_FCN { + + private long N, IFLAG; + private double[] X, FVEC, RUSER; + private long[] IUSER; + + //@Override + public void setN(long N) { + this.N = N; + } + + //@Override + public long getN() { + return N; + } + + //@Override + public void setX(double[] X) { + this.X = X; + } + + //@Override + public double[] getX() { + return X; + } + + //@Override + public void setFVEC(double[] FVEC) { + this.FVEC = FVEC; + } + + //@Override + public double[] getFVEC() { + return FVEC; + } + + //@Override + public void setIUSER(long[] IUSER) { + this.IUSER = IUSER; + } + + //@Override + public long[] getIUSER() { + return IUSER; + } + + //@Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + //@Override + public double[] getRUSER() { + return RUSER; + } + + //@Override + public void setIFLAG(long IFLAG) { + this.IFLAG = IFLAG; + } + + //@Override + public long getIFLAG() { + return IFLAG; + } + + //@Override + public void eval(long N, double[] X, double[] FVEC, long[] IUSER, double[] RUSER, long IFLAG) { + /* + * fvec(1:n) = (3.0_nag_wp-2.0_nag_wp*x(1:n))*x(1:n) + 1.0_nag_wp + * fvec(2:n) = fvec(2:n) - x(1:(n-1)) + * fvec(1:(n-1)) = fvec(1:(n-1)) - 2.0_nag_wp*x(2:n) + */ + for (int i = 0; i < N; ++i) { + FVEC[i] = (3.0 - 2.0 * X[i]) * X[i] + 1.0; + /*if (i >= 1) { + FVEC[i] = FVEC[i] - X[i - 1]; + } + if (i < N - 1) { + FVEC[i] = FVEC[i] - 2.0 * X[i + 1]; + }*/ + } + for(int i=1;i Math.max(epsabs,epsrel*Math.abs(result))) { + System.out.println("Warning - requested accuracy may not have been achieved"); + } + + } + + + public static class D01BDJE_FUN implements D01BD.D01BD_F { + + private double x; + + public double eval(double x) { + return (x * x * Math.sin(10.0 * Math.PI * x)); + } + + public double getX() { + return x; + } + + public void setX(double d) { + x = d; + } + + + } + +} diff --git a/simple_examples/int64/D02NEJE.java b/simple_examples/int64/D02NEJE.java new file mode 100644 index 0000000..b32ae64 --- /dev/null +++ b/simple_examples/int64/D02NEJE.java @@ -0,0 +1,393 @@ +import java.util.Arrays; + +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.Routine; +import com.nag.routines.D02.D02MC; +import com.nag.routines.D02.D02MW; +import com.nag.routines.D02.D02NE; +import com.nag.routines.D02.D02NEZ; +import com.nag.routines.D02.D02NP; + + +/** + * @author joed + */ +public class D02NEJE { + + public static final double ALPHA = 0.04; + public static final double BETA = 1.0E4; + public static final double GAMMA = 3.0E7; + public static final int ML = 1; + public static final int MU = 2; + public static final int NEQ1 = 3; + public static final int NEQ2 = 1; + + public static JAC1 jac1 = new JAC1(); + public static JAC2 jac2 = new JAC2(); + public static RES1 res1 = new RES1(); + public static RES2 res2 = new RES2(); + + public static void main(String[] args) throws NAGBadIntegerException { + + // Initialise wrappers + Routine.init(); + + System.out.println(" D02NEJ Example Program Results"); + + ex1(); + ex2(); + + } + + private static void ex1() { + D02MC d02mc = new D02MC(); + D02MW d02mw = new D02MW(); + D02NE d02ne = new D02NE(); + D02NP d02np = new D02NP(); + double h0, hmax, t, tout; + long ifail, itask, maxord, ijac, itol, licom, neq, lcom; + String jceval; // length 8 + double[] atol, com, rtol, y, ydot, ruser; + long[] icom, iuser; + + ruser = new double[1]; + iuser = new long[3]; + + System.out.println(); + System.out.println(" D02NEF Example 1"); + System.out.println(); + + maxord = 5; + + neq = NEQ1; + lcom = 40 + (maxord + 4) * neq + (2 * ML + MU + 1) * neq + + 2 * (neq / (ML + MU + 1) + 1); + licom = 50 + neq; + + atol = new double[(int)neq]; + com = new double[(int)lcom]; + rtol = new double[(int)neq]; + y = new double[(int)neq]; + ydot = new double[(int)neq]; + icom = new long[(int)licom]; + + ijac = 1; + itol = 1; + Arrays.fill(rtol, 1.0E-3); + Arrays.fill(atol, 1.0E-6); + Arrays.fill(ydot, 0.0); + + // String length = 8 + jceval = (ijac == 1) ? "Analytic" : "Numeric "; + + // Set initial values + y[0] = 1.0; + y[1] = 0.0; + y[2] = 0.0; + + // Initialize the problem, specifying that the Jacobian is to be + // evaluated analytically using the provided routine jac. + hmax = 0.0; + h0 = 0.0; + t = 0.0; + tout = 0.02; + ifail = 0; + d02mw.eval( + neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail + ); + ifail = d02mw.getIFAIL(); + + // Specify that the Jacobian is banded. + ifail = 0; + d02np.eval(neq, ML, MU, icom, licom, ifail); + ifail = d02np.getIFAIL(); + + // Use the iuser array to pass the band dimensions through to jac. + // An alternative would be to hard code values for ml and mu in jac. + iuser[0] = ML; + iuser[1] = MU; + iuser[2] = ijac; + + System.out.printf(" t "); + for (int i = 1; i <= neq; i++) { + System.out.printf(" Y(%1d) ", i); + } + System.out.println(); + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + itask = 0; + + // Obtain the solution at 5 equally spaced values of T. + for (int j = 0; j < 5; j++) { + ifail = -1; + d02ne.eval( + neq, t, tout, y, ydot, rtol, atol, itask, res1, jac1, icom, + com, lcom, iuser, ruser, ifail + ); + itask = d02ne.getITASK(); + ifail = d02ne.getIFAIL(); + t = d02ne.getT(); + + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + if (ifail != 0) { + System.out.printf( + " ** D02NEF returned with IFAIL = %5d\n", ifail + ); + break; + } + + tout += 0.02; + d02mc.eval(icom); + + } + + System.out.println(); + System.out.printf( + " The integrator completed task, ITASK = %4d\n", itask + ); + + } + + private static void ex2() { + D02MC d02mc = new D02MC(); + D02MW d02mw = new D02MW(); + D02NE d02ne = new D02NE(); + double h0, hmax, t, tout; + long ifail, ijac, itask, itol, lcom, licom, maxord, neq; + String jceval; // length 8 + double[] atol, com, rtol, y, ydot, ruser; + long[] icom, iuser; + + ruser = new double[1]; + iuser = new long[1]; + + System.out.println(); + System.out.println(" D02NEF Example 2"); + System.out.println(); + + maxord = 5; + neq = NEQ2; + lcom = 40 + (maxord + 4) * neq + neq * neq; + licom = 50 + neq; + + atol = new double[(int)neq]; + com = new double[(int)lcom]; + rtol = new double[(int)neq]; + y = new double[(int)neq]; + ydot = new double[(int)neq]; + icom = new long[(int)licom]; + + ijac = 1; + itol = 1; + rtol[0] = 0.0; + atol[0] = 1.0E-8; + ydot[0] = 0.0; + + // String length = 8 + jceval = (ijac == 1) ? "Analytic" : "Numeric "; + + // Initialize the problem, specifying that the Jacobian is to be + // evaluated analytically using the provided routine jac. + y[0] = 2.0; + hmax = 0.0; + h0 = 0.0; + t = 0.0; + tout = 0.2; + + ifail = 0; + d02mw.eval( + neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail + ); + ifail = d02mw.getIFAIL(); + + // Use the iuser array to pass whether numerical or analytic Jacobian + // is to be used. + iuser[0] = ijac; + + System.out.printf(" t "); + for (int i = 1; i <= neq; i++) { + System.out.printf(" y(%1d) ", i); + } + System.out.println(); + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + itask = 0; + + for (int j = 0; j < 5; j++) { + ifail = -1; + d02ne.eval( + neq, t, tout, y, ydot, rtol, atol, itask, res2, jac2, icom, + com, lcom, iuser, ruser, ifail + ); + itask = d02ne.getITASK(); + ifail = d02ne.getIFAIL(); + t = d02ne.getT(); + + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + if (ifail != 0) { + System.out.printf( + " ** D02NEF returned with IFAIL = %5d\n", ifail + ); + break; + } + + tout += 0.2; + d02mc.eval(icom); + + } + + System.out.println(); + System.out.printf( + " The integrator completed task, ITASK = %4d\n", itask + ); + + } + + /** + * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based + * Java index. + * + * Fortran array definition: + * a(dimX, *) + * + * Conversion: + * a(x, y) --> A[result] + */ + private static long getIdx(long x, long y, long dimX) { + return ((y-1) * dimX) + (x-1); + } + + public static class RES1 extends D02NE.Abstract_D02NE_RES { + + public void eval() { + + this.R[0] = -(ALPHA * this.Y[0]) + (BETA * this.Y[1] * this.Y[2]) + - this.YDOT[0]; + this.R[1] = (ALPHA * this.Y[0]) - (BETA * this.Y[1] * this.Y[2]) + - (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[1]; + this.R[2] = (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[2]; + + } + + } + + public static class JAC1 extends D02NE.Abstract_D02NE_JAC { + + private double[] myjac1( + long neq, long ml, long mu, double t, double[] y, double[] ydot, + double[] pd, double cj + ) { + + long md, ms, pd_dim1; + + pd_dim1 = (2 * ml) + mu + 1; + + // Main diagonal pdfull(i,i), i=1, neq + md = mu + ml + 1; + pd[(int)getIdx(md, 1, pd_dim1)] = -ALPHA - cj; + pd[(int)getIdx(md, 2, pd_dim1)] = (-BETA * y[2]) - (2.0 * GAMMA * y[1]) + - cj; + pd[(int)getIdx(md, 3, pd_dim1)] = -cj; + + // 1 subdiagonal pdfull(i-1,i), i=2, neq + ms = md + 1; + pd[(int)getIdx(ms, 1, pd_dim1)] = ALPHA; + pd[(int)getIdx(ms, 2, pd_dim1)] = 2.0 * GAMMA * y[1]; + + // First superdiagonal pdfull(i-1,i), i=2, neq + ms = md - 1; + pd[(int)getIdx(ms, 2, pd_dim1)] = BETA * y[2]; + pd[(int)getIdx(ms, 3, pd_dim1)] = -BETA * y[1]; + + // Second superdiagonal pdfull(i-2,i), i=3, neq + ms = md - 2; + pd[(int)getIdx(ms, 3, pd_dim1)] = BETA * y[1]; + + return pd; + + } + + public void eval() { + D02NEZ d02nez = new D02NEZ(); + long ijac, ml, mu; + + ml = this.IUSER[0]; + mu = this.IUSER[1]; + ijac = this.IUSER[2]; + + if (ijac == 1) { + myjac1( + this.NEQ, ml, mu, this.T, this.Y, this.YDOT, this.PD, + this.CJ + ); + } + else { + d02nez.eval( + this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, + this.IUSER, this.RUSER + ); + } + + } + + } + + public static class RES2 extends D02NE.Abstract_D02NE_RES { + + public void eval() { + this.R[0] = 4.0 - Math.pow(this.Y[0], 2.0) + + (this.T * 0.1E0 * Math.exp(this.Y[0])); + } + + } + + public static class JAC2 extends D02NE.Abstract_D02NE_JAC { + + private void myjac2( + long neq, double t, double[] y, double[] ydot, double[] pd, + double cj + ) { + + pd[0] = -(2.0 * y[0]) + (0.1E0 * t * y[0] * Math.exp(y[0])); + + } + + public void eval() { + D02NEZ d02nez = new D02NEZ(); + long ijac; + + ijac = this.IUSER[0]; + + if (ijac == 1) { + myjac2(this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ); + } + else { + d02nez.eval( + this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, + this.IUSER, this.RUSER + ); + } + + } + + } + +} diff --git a/simple_examples/int64/DTFSMJE.java b/simple_examples/int64/DTFSMJE.java new file mode 100644 index 0000000..d1feabb --- /dev/null +++ b/simple_examples/int64/DTFSMJE.java @@ -0,0 +1,61 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.F01.DTRTTF; +import com.nag.routines.F06.DTFSM; +import com.nag.routines.X04.X04CA; +import com.nag.routines.Routine; + +/** + * Adapted from f06wbfe.f90 + * + * @author joed + * + */ +public class DTFSMJE { + + public static void main(String[] args) throws NAGBadIntegerException { + + double alpha = 4.21; + long ifail = 0, info = 0, m = 6, n = 4; + String side = "L", trans = "N", transr = "N", uplo = "L"; + + // Init NAG Java + DTFSM dtfsm = new DTFSM(); + DTRTTF dtrttf = new DTRTTF(); + X04CA x04ca = new X04CA(); + Routine.init(); + + System.out.println(" DTFSMJ Example Program Results\n"); + + // Set lower triangle of matrix A + double[] a = new double[(int)(m*m)]; + for (int i=0; i=i) ? j+1 : 0; + } + } + + // Set matrix B + double[] b = new double[] { + 3.22, 1.64, 1.87, 5.20, 1.83, -1.10, + 1.37, 1.80, 2.87, -2.99, -2.71, -0.63, + 2.31, 0.38, 2.02, -0.91, -2.81, -0.50, + 0.29, -1.52, -0.80, -3.87, -1.13, 0.81 + }; + + // Convert A to rectangular full packed storage in ar + double[] ar = new double[((int)(m*(m+1)))/2]; + info = 0; + dtrttf.eval(transr, uplo, m, a, m, ar, info); + info = dtrttf.getINFO(); + + // Perform the matrix-matrix operation + dtfsm.eval(transr, side, uplo, trans, "N", m, n, alpha, ar, b, m); + + // Print result + ifail = 0; + x04ca.eval("General", " ", m, n, b, m, "The Solution", ifail); + ifail = x04ca.getIFAIL(); + + } + +} diff --git a/simple_examples/int64/E01DAJE.java b/simple_examples/int64/E01DAJE.java new file mode 100644 index 0000000..89a89e4 --- /dev/null +++ b/simple_examples/int64/E01DAJE.java @@ -0,0 +1,177 @@ +/* + * E01DA Example Program - NAG Copyright 2016 + */ + import com.nag.exceptions.NAGBadIntegerException; + import com.nag.routines.E01.E01DA; + import com.nag.routines.E02.E02DF; + import com.nag.routines.Routine; + +public class E01DAJE { + + public static void main (String[] args)throws NAGBadIntegerException { + Routine.init(); + + int mx = 7, my = 6, ifail = -1; + double[] x = new double[mx]; + double[] y = new double[my]; + double[] f = new double[mx*my]; + double[] lamda = new double[mx+4]; + double[] mu = new double[my+4]; + double[] c = new double[mx*my]; + double[] wrk = new double[(mx+6)*(my+6)]; + + int nx = 6, ny = 6, px = 0, py = 0; + double xlo = 1.0, xhi = 2.0; + double ylo = 0.0, yhi = 1.0; + + E01DA e01da = new E01DA(); + + // Input X, Y and function values on X-Y grid + x[0] = 1.00; + x[1] = 1.10; + x[2] = 1.30; + x[3] = 1.50; + x[4] = 1.60; + x[5] = 1.80; + x[6] = 2.00; + + y[0] = 0.00; + y[1] = 0.10; + y[2] = 0.40; + y[3] = 0.70; + y[4] = 0.90; + y[5] = 1.00; + + // On entry: F[my*(q-1)+r-1] must contain f(q,r), for q=1,2,...,mx + // and r=1,2,...,my. + f[0] = 1.00; + f[1] = 1.10; + f[2] = 1.40; + f[3] = 1.70; + f[4] = 1.90; + f[5] = 2.00; + f[6] = 1.21; + f[7] = 1.31; + f[8] = 1.61; + f[9] = 1.91; + f[10] = 2.11; + f[11] = 2.21; + f[12] = 1.69; + f[13] = 1.79; + f[14] = 2.09; + f[15] = 2.39; + f[16] = 2.59; + f[17] = 2.69; + f[18] = 2.25; + f[19] = 2.35; + f[20] = 2.65; + f[21] = 2.95; + f[22] = 3.15; + f[23] = 3.25; + f[24] = 2.56; + f[25] = 2.66; + f[26] = 2.96; + f[27] = 3.26; + f[28] = 3.46; + f[29] = 3.56; + f[30] = 3.24; + f[31] = 3.34; + f[32] = 3.64; + f[33] = 3.94; + f[34] = 4.14; + f[35] = 4.24; + f[36] = 4.00; + f[37] = 4.10; + f[38] = 4.40; + f[39] = 4.70; + f[40] = 4.90; + f[41] = 5.00; + + System.out.printf(" E01DAJ Example Program Results\n\n"); + e01da.eval(mx, my, x, y, f, px, py, lamda, mu, c, wrk, ifail); + + ifail = (int)e01da.getIFAIL(); + switch (ifail) + { + case 0: + System.out.printf(" I Knot LAMDA(I) J Knot MU(j)\n"); + for (int i = 3; i <= Math.max(mx,my); ++i) + { + if (i <= mx) + System.out.printf("%4d %9.4f", i+1, lamda[i]); + else + System.out.printf(" "); + if (i <= my) + System.out.printf("%8d %9.4f\n", i+1, mu[i]); + else + System.out.printf("\n"); + } + System.out.printf("\n The B-Spline coefficients:\n"); + for (int i = 0; i < mx*my; ++i) + { + System.out.printf("%9.4f", c[i]); + if ((i+1)%8 == 0) + System.out.printf("\n"); + } + System.out.printf("\n"); + break; + default: + System.out.printf("\n Error detected by E01DA: %d\n", ifail); + } + + /* Evaluate the spline on a regular rectangular grid at nx*ny points + over the domain [xlo,xhi] x [ylo,yhi]. */ + px = (int)e01da.getPX(); + py = (int)e01da.getPY(); + int liwrk; + int lwrk = Math.min(4*nx+px,4*ny+py); + if (4*nx+px>4*ny+py) + liwrk = ny + py - 4; + else + liwrk = nx + px - 4; + double tx[] = new double[nx]; + double ty[] = new double[ny]; + double ff[] = new double[nx*ny]; + wrk = new double[lwrk]; + long iwrk[] = new long[liwrk]; + + /* Generate nx/ny equispaced x/y co-ordinates */ + double step = (xhi-xlo)/(nx-1); + tx[0] = xlo; + for (int i = 1; i 0) ? datafile.n : 1; + + // This particular example problem is of type QP2 with H stored explicitly, + // so we allocate CVEC(N) and H(LDH,N), and define LDH and LWORK as below + ldh = datafile.n; + + if (datafile.nclin > 0) { + lwork = 2 * datafile.n * datafile.n + 8 * datafile.n + 5 * datafile.nclin; + } + else { + lwork = datafile.n * datafile.n + 8 * datafile.n; + } + + istate = new long[(int)(datafile.n + datafile.nclin)]; + ax = new double[(int)Math.max(1, datafile.nclin)]; + iwork = new long[(int)liwork]; + // h, bl, bu, cvec, x, a: already read from data file + clamda = new double[(int)(datafile.n + datafile.nclin)]; + work = new double[(int)lwork]; + + // Init routine + E04WB e04wb = new E04WB(); + long lcwsav = 1, liwsav = 610, llwsav = 120, lrwsav = 475; + String[] cwsav = new String[(int)lcwsav]; + cwsav[0] = " "; + long[] iwsav = new long[(int)liwsav]; + boolean[] lwsav = new boolean[(int)llwsav]; + double[] rwsav = new double[(int)lrwsav]; + ifail = 0; + e04wb.eval("E04NFA", cwsav, lcwsav, lwsav, llwsav, iwsav, liwsav, rwsav, lrwsav, ifail); + + // Set print level to match E04NFF example output + E04NH e04nh = new E04NH(); + int inform = 0; + e04nh.eval("Print Level = 10", lwsav, iwsav, rwsav, inform); + + // Solve the problem + E04NF e04nf = new E04NF(); + double[] ruser = new double[1]; + long[] iuser = new long[1]; + iter = 0; + obj = Double.NaN; + ifail = 0; + e04nf.eval(datafile.n, datafile.nclin, datafile.a, datafile.lda, datafile.bl, + datafile.bu, datafile.cvec, datafile.h, datafile.ldh, new QPHESS(), istate, + datafile.x, iter, obj, ax, clamda, iwork, liwork, work, lwork, + iuser, ruser, lwsav, iwsav, rwsav, ifail); + + ifail = e04nf.getIFAIL(); + + } catch (Exception ex) { + Logger.getLogger(E04NFJE.class.getName()).log(Level.SEVERE, null, ex); + } + + } + + /** Using E54NFU as a default */ + public static class QPHESS extends E54NFU implements E04NF.E04NF_QPHESS { + + public void eval() { + + super.eval(); + + } + + } + + public static class DataFile { + + public String filename; + public long n, nclin, lda, sda, ldh; + public double[] cvec, a, bl, bu, x, h; + + public DataFile(String filename) { + this.filename = filename; + } + + public void read() throws FileNotFoundException, IOException { + BufferedReader dataIn = new BufferedReader(new FileReader(filename)); + String line = dataIn.readLine(); // skipping header + line = dataIn.readLine().trim(); + String[] lines = line.split(":");//removing comments + String[] dataLine = lines[0].split("\\s+"); + if (dataLine.length != 2) { + System.err.println("Something went wrong when reading the data file - can't read n and nclin!"); + System.exit(1); + } + n = Integer.parseInt(dataLine[0]); + nclin = Integer.parseInt(dataLine[1]); + + lda = Math.max(1, nclin); + + if (nclin > 0) { + sda = n; + } else { + sda = 1; + + } + ldh = n; + + cvec = new double[(int)n]; + a = new double[(int)(lda * sda)]; + bl = new double[(int)(n + nclin)]; + bu = new double[(int)(n + nclin)]; + x = new double[(int)n]; + h = new double[(int)(ldh * n)]; + + //reading cvec + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file - not enought or too many data for cvec"); + System.exit(1); + } + + for (int i = 0; i < n; ++i) { + cvec[i] = Double.parseDouble(dataLine[i].trim().replaceAll("D", "E")); + } + + //reading a + for (int i = 0; i < lda; ++i) { + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != sda) { + System.err.println("Something went wrong when reading the data file - not enought or too many data for a"); + System.exit(1); + } + for (int j = 0; j < sda; ++j) { + a[(int)(i + j * lda)] = Double.parseDouble(dataLine[j].trim().replaceAll("D", "E")); + } + } + + //reading bl + //it's on two lines in the data file, so we need to merge them + line = dataIn.readLine().trim().split(":")[0].trim() + " " + dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n + nclin) { + System.err.println("Something went wrong when reading the data file - not enought or too many data for bl"); + System.exit(1); + } + for (int i = 0; i < n + nclin; ++i) { + bl[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + //reading bu + //it's on two lines in the data file, so we need to merge them + line = dataIn.readLine().trim().split(":")[0].trim() + " " + dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n + nclin) { + System.err.println("Something went wrong when reading the data file - not enought or too many data for bu"); + System.exit(1); + } + for (int i = 0; i < n + nclin; ++i) { + bu[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file - not enought or too many data for x"); + System.exit(1); + } + for (int i = 0; i < n; ++i) { + x[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + for (int i = 0; i < ldh; ++i) { + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file - not enought or too many data for h at line " + i); + System.exit(1); + } + for (int j = 0; j < n; ++j) { + h[(int)(i + j * ldh)] = Double.parseDouble(dataLine[j].replaceAll("D", "E")); + } + } + + + } + } + +} diff --git a/simple_examples/int64/E04UCJE.java b/simple_examples/int64/E04UCJE.java new file mode 100644 index 0000000..20ad573 --- /dev/null +++ b/simple_examples/int64/E04UCJE.java @@ -0,0 +1,207 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.E04.E04UC; +import com.nag.routines.E04.E04WB; +import com.nag.routines.F06.DGEMV; +import com.nag.routines.Routine; +import java.util.Arrays; + +/** + * @author joed + */ +public class E04UCJE { + + public static final double ONE = 1.0, ZERO = 0.0; + public static final long INC1 = 1, LCWSAV = 1, LIWSAV = 610, LLWSAV = 120, LRWSAV = 475; + public static CONFUN confun = new CONFUN(); + public static OBJFUN objfun = new OBJFUN(); + + public static void main(String[] args) throws NAGBadIntegerException { + /* Local Scalars */ + double objf; + long i, ifail, iter, j, lda, ldcj, ldr, liwork, lwork, n, nclin, ncnln, sda, sdcjac; + /* Local Arrays */ + double[] a, bl, bu, c, cjac, clamda, objgrd, r, work, x; + double[] ruser = new double[1], rwsav = new double[(int)LRWSAV]; + long[] istate, iwork; + long[] iuser = new long[1], iwsav = new long[(int)LIWSAV]; + boolean[] lwsav = new boolean[(int)LLWSAV]; + String[] cwsav = new String[(int)LCWSAV]; + Arrays.fill(cwsav, " "); + + System.out.println(" E04UCJ Example Program Results"); + Routine.init(); + + /* Set scalars */ + n = 4; + nclin = 1; + ncnln = 2; + liwork = 3*n + nclin + 2*ncnln; + lda = Math.max(1, nclin); + sda = (nclin > 0) ? n : 1; + ldcj = Math.max(1, ncnln); + sdcjac = (ncnln > 0) ? n : 1; + ldr = n; + + if (ncnln == 0 && nclin > 0) { + lwork = 2*n*n + 20*n + 11*nclin; + } + else if (ncnln > 0 && nclin >= 0) { + lwork = 2*n*n + n*nclin + 2*n*ncnln + 20*n + 11*nclin + 21*ncnln; + } + else { + lwork = 20*n; + } + + /* Set arrays */ + istate = new long[(int)(n + nclin + ncnln)]; + iwork = new long[(int)liwork]; + c = new double[(int)(Math.max(1, ncnln))]; + cjac = new double[(int)(ldcj * sdcjac)]; + clamda = new double[(int)(n + nclin + ncnln)]; + objgrd = new double[(int)n]; + r = new double[(int)(ldr * n)]; + work = new double[(int)lwork]; + + a = new double[]{1.0, 1.0, 1.0, 1.0}; + bl = new double[]{1.0, 1.0, 1.0, 1.0, -1.0E+25, -1.0E+25, 25.0}; + bu = new double[]{5.0, 5.0, 5.0, 5.0, 20.0, 40.0, 1.0E+25}; + x = new double[]{1.0, 5.0, 5.0, 1.0}; + + /* Initialise E04UC */ + E04WB e04wb = new E04WB(); + ifail = 0; + e04wb.eval("E04UCA", cwsav, LCWSAV, lwsav, LLWSAV, iwsav, LIWSAV, rwsav, LRWSAV, ifail); + + /* Solve the problem */ + E04UC e04uc = new E04UC(); + iter = 0; + objf = 0.0; + ifail = -1; + e04uc.eval(n, nclin, ncnln, lda, ldcj, ldr, a, bl, bu, confun, objfun, iter, istate, c, + cjac, clamda, objf, objgrd, r, x, iwork, liwork, work, lwork, iuser, ruser, + lwsav, iwsav, rwsav, ifail); + iter = e04uc.getITER(); + objf = e04uc.getOBJF(); + ifail = e04uc.getIFAIL(); + + if ((0 >= ifail && ifail <= 6) || ifail == 8) { + System.out.println(); + System.out.println(" Varbl Istate Value Lagr Mult"); + System.out.println(); + + for (i = 0; i < n; i++) { + System.out.printf(" V %3d %3d %13.6G %13.4G\n", i+1, istate[(int)i], x[(int)i], clamda[(int)i]); + } + + if (nclin > 0) { + + /* A*x --> work. + * The NAG name equivalent of DGEMV is F06PA */ + DGEMV dgemv = new DGEMV(); + dgemv.eval("N", nclin, n, ONE, a, lda, x, INC1, ZERO, work, INC1); + + System.out.println(); + System.out.println(); + System.out.println(" L Con Istate Value Lagr Mult"); + System.out.println(); + + for (i = n; i < n+nclin; i++) { + j = i - n; + System.out.printf(" L %3d %3d %13.6G %13.4G\n", j+1, istate[(int)i], work[(int)j], clamda[(int)i]); + } + + } + + if (ncnln > 0) { + System.out.println(); + System.out.println(); + System.out.println(" N Con Istate Value Lagr Mult"); + System.out.println(); + + for (i = n+nclin; i < n+nclin+ncnln; i++) { + j = i - n - nclin; + System.out.printf(" N %3d %3d %13.6G %13.4G\n", j+1, istate[(int)i], c[(int)j], clamda[(int)i]); + } + + } + + System.out.println(); + System.out.println(); + System.out.printf(" Final objective value = %11.7G\n", objf); + + } + + } + + /** Routine to evaluate objective function and its 1st derivatives */ + public static class OBJFUN extends E04UC.Abstract_E04UC_OBJFUN { + + public void eval() { + + if (MODE == 0 || MODE == 2) { + OBJF = X[0] * X[3] * (X[0]+X[1]+X[2]) + X[2]; + } + + if (MODE == 1 || MODE == 2) { + OBJGRD[0] = X[3] * (X[0]+X[0]+X[1]+X[2]); + OBJGRD[1] = X[0] * X[3]; + OBJGRD[2] = X[0] * X[3] + ONE; + OBJGRD[3] = X[0] * (X[0]+X[1]+X[2]); + } + + } + + } + + /** Routine to evaluate the nonlinear constraints and their 1st derivatives */ + public static class CONFUN extends E04UC.Abstract_E04UC_CONFUN { + + public void eval() { + + if (NSTATE == 1) { + + /* First call to CONFUN. Set all Jacobian elements to zero. + * Note that this will only work when 'Derivative Level = 3' + * (the default; see Section 11.2). */ + + for (int i = 0; i < CJAC.length; ++i) { + CJAC[i] = 0; + } + + } + + if (NEEDC[0] > 0) { + + if (MODE == 0 || MODE == 2) { + C[0] = X[0]*X[0] + X[1]*X[1] + X[2]*X[2] + X[3]*X[3]; + } + + if (MODE == 1 || MODE == 2) { + CJAC[0] = X[0] + X[0]; + CJAC[(int)LDCJ] = X[1] + X[1]; + CJAC[(int)(2*LDCJ)] = X[2] + X[2]; + CJAC[(int)(3*LDCJ)] = X[3] + X[3]; + } + + } + + if (NEEDC[1]>0) { + + if (MODE == 0 || MODE == 2) { + C[1] = X[0]*X[1]*X[2]*X[3]; + } + + if (MODE == 1 || MODE == 2) { + CJAC[1] = X[1]*X[2]*X[3]; + CJAC[(int)(1+LDCJ)] = X[0]*X[2]*X[3]; + CJAC[(int)(1+2*LDCJ)] = X[0]*X[1]*X[3]; + CJAC[(int)(1+3*LDCJ)] = X[0]*X[1]*X[2]; + } + + } + + } + + } + +} diff --git a/simple_examples/int64/F02EKJE.java b/simple_examples/int64/F02EKJE.java new file mode 100644 index 0000000..d8f152c --- /dev/null +++ b/simple_examples/int64/F02EKJE.java @@ -0,0 +1,230 @@ +emacimport java.util.Arrays; + +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.F02.F02EK; +import com.nag.routines.F12.F12AD; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.Routine; +import com.nag.types.*; + + +/** + * @author joed + */ +public class F02EKJE { + + public static MYMONIT mymonit = new MYMONIT(); + public static MYOPTION myoption = new MYOPTION(); + + public static void main(String[] args) throws NAGBadIntegerException { + F02EK f02ek = new F02EK(); + X02AJ x02aj = new X02AJ(); + double h, rho, s, sigma; + int ifail, imon, k, ldv, maxit, mode, n, nconv, ncv, nev, nnz, nx, + prtlvl; + NAGComplex complex = new NAGComplex(); + double[] a, resid, v, ruser = new double[1]; + int[] icolzp, irowix, iuser = new int[4]; + NAGComplex[] w; + + // Initialise wrapper library + Routine.init(); + Routine.setComplex(complex); + + System.out.println(" F02EKJ Example Program Results"); + System.out.println(); + + nx = 10; + nev = 4; + ncv = 20; + rho = 10.0; + sigma = 5.5; + + n = nx * nx; + nnz = 3*n - 2; + ldv = n; + + resid = new double[ncv]; + a = new double[nnz]; + icolzp = new int[n + 1]; + irowix = new int[nnz]; + w = (NAGComplex[]) complex.getArrayOfInstances(ncv); + v = new double[ldv * ncv]; + + // Construct A in compressed column storage (CCS) format where: + // A{ i , i } = 2 + i + // A{i+1, i } = 3 + // A{ i , i+1} = rho/(2n+2) - 1 + + h = 1.0 / (double)(n+1); + s = (rho * h / 2.0) - 1.0; + + a[0] = 2.0 + 1.0; + a[1] = 3.0; + icolzp[0] = 1; + irowix[0] = 1; + irowix[1] = 2; + k = 3; + + for (int i = 1; i < n - 1; i++) { + icolzp[i] = k; + irowix[k - 1] = i; + irowix[k] = i + 1; + irowix[k + 1] = i + 2; + a[k - 1] = s; + a[k] = 2.0 + (double)(i + 1); + a[k + 1] = 3.0; + k += 3; + } + + icolzp[n - 1] = k; + icolzp[n] = k + 2; + irowix[k - 1] = n - 1; + irowix[k] = n; + a[k - 1] = s; + a[k] = 2.0 + (double)(n); + + // Set some options via iuser array and return routine argument OPTION + // iuser[0] = print level + // iuser[1] = iteration limit + // iuser[2] > 0 means shifted-invert mode + // iuser[3] > 0 means print monitoring info + + prtlvl = 0; + maxit = 500; + mode = 1; + imon = 1; + + if (prtlvl > 0) { + imon = 0; + } + + iuser[0] = prtlvl; + iuser[1] = maxit; + iuser[2] = mode; + iuser[3] = imon; + + nconv = 0; // placeholder value, nconv is output only + ifail = 0; // hard exit on error + + f02ek.eval( + n, nnz, a, icolzp, irowix, nev, ncv, sigma, mymonit, myoption, + nconv, w, v, ldv, resid, iuser, ruser, ifail + ); + ifail = f02ek.getIFAIL(); + nconv = f02ek.getNCONV(); + + System.out.println(); + System.out.printf( + " The %4d Ritz values of closest to %13.5E are:\n", nconv, sigma + ); + + // Get machine precision + double mp = x02aj.eval(); + + for (int i = 0; i < nconv; i++) { + if (resid[i] > (double)(100*n*mp)) { + System.out.printf( + " %8d ( %13.5E , %13.5E ) %13.5E\n", + i + 1, w[i], resid[i] + ); + } + else { + System.out.printf( + " %8d ( %13.5E , %13.5E )\n", + i + 1, w[i].getRe(), w[i].getIm() + ); + } + } + + } + + public static class MYOPTION extends F02EK.Abstract_F02EK_OPTION { + + public void eval() { + F12AD f12ad = new F12AD(); + int ifail1; + String rec = " "; + + this.ISTAT = 0; + + if (this.IUSER[0] > 0) { + System.out.printf("Print Level=%5d\n", this.IUSER[0]); + ifail1 = 1; + f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[1] > 100) { + System.out.printf("Iteration Limit=%5d\n", this.IUSER[1]); + ifail1 = 1; + f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[2] > 0) { + ifail1 = 1; + f12ad.eval ( + "Shifted Inverse Real ", this.ICOMM, this.COMM, ifail1 + ); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + } + + } + + public static class MYMONIT extends F02EK.Abstract_F02EK_MONIT { + + public NAGComplexInterface[] getW(){ + return this.W; + } + + public void eval() { + + if (this.IUSER[3] > 0) { + + if (this.NITER == 1 && this.IUSER[2] > 0) { + System.out.printf( + " Arnoldi basis vectors used:%4d\n", this.NCV + ); + System.out.printf( + " The following Ritz values (mu) are related to the\n" + + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" + ); + } + + System.out.println(); + System.out.printf(" Iteration number %4d\n", this.NITER); + System.out.printf( + " Ritz values converged so far (%4d) and their Ritz" + + " estimates:\n", this.NCONV + ); + + for (int i = 0; i < this.NCONV; i++) { + System.out.printf( + " %4d (%13.5E,%13.5E) %13.5E\n", + i + 1, this.W[i].getRe(), this.W[i].getIm(), + this.RZEST[i] + ); + } + + System.out.printf(" Next (unconverged) Ritz value:\n"); + + System.out.printf( + " %4d (%13.5E,%13.5E)\n", + this.NCONV + 1, this.W[NCONV].getRe(), this.W[NCONV].getIm() + ); + + } + + this.ISTAT = 0; + + } + + } + +} diff --git a/simple_examples/withdrawn/D02TKJE.java b/simple_examples/withdrawn/D02TKJE.java new file mode 100644 index 0000000..16e9e9b --- /dev/null +++ b/simple_examples/withdrawn/D02TKJE.java @@ -0,0 +1,290 @@ +import java.util.Arrays; + +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.D02.D02TK; +import com.nag.routines.D02.D02TV; +import com.nag.routines.D02.D02TX; +import com.nag.routines.D02.D02TY; +import com.nag.routines.D02.D02TZ; +import com.nag.routines.Routine; + + +/** + * @author joed + */ +public class D02TKJE { + + public static final int MMAX = 3, NEQ = 3, NLBC = 3, NRBC = 3; + + public static double omega, sqrofr; + public static int[] m = {1, 3, 2}; + + public static FFUN ffun = new FFUN(); + public static FJAC fjac = new FJAC(); + public static GAFUN gafun = new GAFUN(); + public static GAJAC gajac = new GAJAC(); + public static GBFUN gbfun = new GBFUN(); + public static GBJAC gbjac = new GBJAC(); + public static GUESS guess = new GUESS(); + + public static void main(String[] args) throws NAGBadIntegerException { + D02TK d02tk = new D02TK(); + D02TV d02tv = new D02TV(); + D02TX d02tx = new D02TX(); + D02TY d02ty = new D02TY(); + D02TZ d02tz = new D02TZ(); + double dx, ermx, r; + int iermx, ifail, ijermx, licomm, lrcomm, mxmesh, ncol, ncont, nmesh; + double[] mesh, tol, work, y; + int[] icomm, ipmesh; + + // Initialise wrappers + Routine.init(); + + System.out.println(" D02TKJ Example Program Results"); + System.out.println(); + + // Values from d02tkfe.d + ncol = 7; + nmesh = 11; + mxmesh = 51; + + licomm = 23 + NEQ + mxmesh; + lrcomm = mxmesh * (109 * (int)Math.pow(NEQ, 2) + 78 * NEQ + 7); + + mesh = new double[mxmesh]; + tol = new double[NEQ]; + work = new double[lrcomm]; + y = new double[NEQ * MMAX]; + ipmesh = new int[mxmesh]; + icomm = new int[licomm]; + + // Values from d02tkfe.d + omega = 1.0; + Arrays.fill(tol, 1.0E-4); + + dx = 1.0 / ((double) nmesh - 1); + + mesh[0] = 0.0; + for (int i = 1; i < nmesh - 1; i++) { + mesh[i] = mesh[i - 1] + dx; + } + mesh[nmesh - 1] = 1.0; + + ipmesh[0] = 1; + Arrays.fill(ipmesh, 1, nmesh - 1, 2); + ipmesh[nmesh - 1] = 1; + + // Initial integrator for given problem. + ifail = 0; + d02tv.eval( + NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, work, + lrcomm, icomm, licomm, ifail + ); + + // Values from d02tkfe.d + ncont = 3; + r = 1.0E6; + + sqrofr = Math.sqrt(r); + + ermx = 0.0; + iermx = 0; + ijermx = 0; + + for (int j = 0; j < ncont; j++) { + System.out.printf("\n Tolerance = %8.1E R = %10.3E\n", tol[0], r); + + // Solve problem + ifail = -1; + d02tk.eval( + ffun, fjac, gafun, gbfun, gajac, gbjac, guess, work, icomm, + ifail + ); + ifail = d02tk.getIFAIL(); + if (ifail == 1) break; + + // Extract mesh + ifail = -1; + d02tz.eval( + mxmesh, nmesh, mesh, ipmesh, ermx, iermx, ijermx, work, icomm, + ifail + ); + nmesh = d02tz.getNMESH(); + iermx = d02tz.getIERMX(); + ijermx = d02tz.getIJERMX(); + ermx = d02tz.getERMX(); + ifail = d02tz.getIFAIL(); + if (ifail == 1) break; + + // Print mesh, error stats + System.out.printf( + "\n" + + " Used a mesh of %4d points\n" + + " Maximum error = %10.2E in interval %4d for component %4d\n" + + "\n", + nmesh, ermx, iermx, ijermx + ); + System.out.printf("\n Mesh points:\n"); + for (int i = 0; i < nmesh; i++) { + System.out.printf("%4d(%1d)%10.3E", i+1, ipmesh[i], mesh[i]); + if ((i+1) % 4 == 0) System.out.printf("\n"); + } + System.out.printf("\n"); + + // Print solution components on mesh + System.out.printf("\n x f f\' g\n"); + for (int i = 0; i < nmesh; i++) { + ifail = 0; + d02ty.eval(mesh[i], y, NEQ, MMAX, work, icomm, ifail); + ifail = d02ty.getIFAIL(); + if (ifail != 0) { + System.err.println( + "D02TY failed with error code " + ifail + ); + break; + } + System.out.printf( + " %8.3f %9.4f%9.4f%9.4f\n", mesh[i], y[getIdx(1, 0, NEQ)], + y[getIdx(2, 0, NEQ)], y[getIdx(3, 0, NEQ)] + ); + } + + if (j == ncont - 1) break; + + // Modify continuation parameter + r = 100.0 * r; + sqrofr = Math.sqrt(r); + + // Select mesh for continuation + Arrays.fill(ipmesh, 1, nmesh - 1, 2); + + // Call continuation primer routine + ifail = 0; + d02tx.eval(mxmesh, nmesh, mesh, ipmesh, work, icomm, ifail); + mxmesh = d02tx.getMXMESH(); + nmesh = d02tx.getNMESH(); + ifail = d02tx.getIFAIL(); + if (ifail != 0) { + System.err.println("D02TX failed with error code " + ifail); + } + + } + + } + + /** + * Converts a 2D Fortran index to the 1D index for its corresponding Java + * array. Assumes y is already zero-based. + * + * Fortran array definition: + * a(dimX, 0:*) + * + * Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return (y * dimX) + (x-1); + } + + /** + * Converts a 3D Fortran index to the 1D index for its corresponding Java + * array. Assumes z is already zero-based. + * + * Fortran array definition: + * a(dimX, dimY, 0:*) + * + * Conversion: + * a(x, y, z) --> A[result] + */ + private static int getIdx(int x, int y, int z, int dimX, int dimY) { + return (z * dimY * dimX) + ((y-1) * dimX) + (x-1); + } + + public static class FFUN extends D02TK.Abstract_D02TK_FFUN { + + public void eval() { + F[0] = Y[getIdx(2, 0, NEQ)]; + F[1] = -((Y[getIdx(1, 0, NEQ)] * Y[getIdx(2, 2, NEQ)]) + + (Y[getIdx(3, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; + F[2] = ((Y[getIdx(2, 0, NEQ)] * Y[getIdx(3, 0, NEQ)]) + - (Y[getIdx(1, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; + } + + } + + public static class FJAC extends D02TK.Abstract_D02TK_FJAC { + + public void eval() { + DFDY[getIdx(1, 2, 0, NEQ, NEQ)] = 1.0; + DFDY[getIdx(2, 1, 0, NEQ, NEQ)] = -Y[getIdx(2, 2, NEQ)] * sqrofr; + DFDY[getIdx(2, 2, 2, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; + DFDY[getIdx(2, 3, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; + DFDY[getIdx(2, 3, 1, NEQ, NEQ)] = -Y[getIdx(3, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 1, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; + DFDY[getIdx(3, 2, 0, NEQ, NEQ)] = Y[getIdx(3, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 3, 0, NEQ, NEQ)] = Y[getIdx(2, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 3, 1, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; + } + + } + + public static class GAFUN extends D02TK.Abstract_D02TK_GAFUN { + + public void eval() { + GA[0] = YA[getIdx(1, 0, NEQ)]; + GA[1] = YA[getIdx(2, 0, NEQ)]; + GA[2] = YA[getIdx(3, 0, NEQ)] - omega; + } + + } + + public static class GBFUN extends D02TK.Abstract_D02TK_GBFUN { + + public void eval() { + GB[0] = YB[getIdx(1, 0, NEQ)]; + GB[1] = YB[getIdx(2, 0, NEQ)]; + GB[2] = YB[getIdx(3, 0, NEQ)] + omega; + } + + } + + public static class GAJAC extends D02TK.Abstract_D02TK_GAJAC { + + public void eval() { + DGADY[getIdx(1, 1, 0, NLBC, NEQ)] = 1.0; + DGADY[getIdx(2, 2, 0, NLBC, NEQ)] = 1.0; + DGADY[getIdx(3, 3, 0, NLBC, NEQ)] = 1.0; + } + + } + + public static class GBJAC extends D02TK.Abstract_D02TK_GBJAC { + + public void eval() { + DGBDY[getIdx(1, 1, 0, NRBC, NEQ)] = 1.0; + DGBDY[getIdx(2, 2, 0, NRBC, NEQ)] = 1.0; + DGBDY[getIdx(3, 3, 0, NRBC, NEQ)] = 1.0; + } + + } + + public static class GUESS extends D02TK.Abstract_D02TK_GUESS { + + public void eval() { + Y[getIdx(1, 0, NEQ)] = -(X - 0.5) * Math.pow(X * (X - 1.0), 2.0); + Y[getIdx(2, 0, NEQ)] = -X * (X - 1.0) + * (5.0 * X * (X - 1.0) + 1.0); + Y[getIdx(2, 1, NEQ)] = -(2.0 * X - 1.0) + * (10.0 * X * (X - 1.0) + 1.0); + Y[getIdx(2, 2, NEQ)] = -12.0 * (5.0 * X * (X - 1.0) + 1.0); + Y[getIdx(3, 0, NEQ)] = -8.0 * omega * Math.pow(X - 0.5, 3.0); + Y[getIdx(3, 1, NEQ)] = -24.0 * omega * Math.pow(X - 0.5, 2.0); + DYM[0] = Y[getIdx(2, 0, NEQ)]; + DYM[1] = -120.0 * (X - 0.5); + DYM[2] = -56.0 * omega * (X - 0.5); + } + + } + +} From 351de5296b84c44b48f9a7ef8a6d3339c132f4de Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 15 Jan 2021 14:11:17 +0000 Subject: [PATCH 118/196] Simple Examples Synced --- simple_examples/baseresults/a00aaje.r | 10 + simple_examples/baseresults/a00acje.r | 3 + simple_examples/baseresults/a00adje.r | 17 + simple_examples/baseresults/c02aaje.r | 19 + simple_examples/baseresults/c02abje.r | 12 + simple_examples/baseresults/c02afje.r | 28 ++ simple_examples/baseresults/c02agje.r | 27 ++ simple_examples/baseresults/c02ahje.r | 6 + simple_examples/baseresults/c02ajje.r | 6 + simple_examples/baseresults/c02akje.r | 8 + simple_examples/baseresults/c02alje.r | 9 + simple_examples/baseresults/c02amje.r | 8 + simple_examples/baseresults/c02anje.r | 9 + simple_examples/baseresults/c05auje.r | 4 + simple_examples/baseresults/c05awje.r | 4 + simple_examples/baseresults/c05ayje.r | 3 + simple_examples/baseresults/c05azje.r | 15 + simple_examples/baseresults/c05bbje.r | 10 + simple_examples/baseresults/c05mbje.r | 8 + simple_examples/baseresults/c05qbje.r | 8 + simple_examples/baseresults/c06baje.r | 15 + simple_examples/baseresults/c06fkje.r | 13 + simple_examples/baseresults/c09aaje.r | 18 + .../baseresults/complexargumentexample.r | 1 + simple_examples/baseresults/d01bdje.r | 9 + simple_examples/baseresults/d02neje.r | 25 ++ simple_examples/baseresults/d02tkje.r | 113 +++++ simple_examples/baseresults/d02tlje.r | 113 +++++ simple_examples/baseresults/d03pcje.r | 28 ++ simple_examples/baseresults/d03raje.r | 409 +++++++++++++++++ simple_examples/baseresults/d03rbje.r | 59 +++ simple_examples/baseresults/d05baje.r | 12 + simple_examples/baseresults/d05beje.r | 46 ++ simple_examples/baseresults/dtfsmje.r | 10 + simple_examples/baseresults/e01daje.r | 25 ++ simple_examples/baseresults/e02alje.r | 24 + simple_examples/baseresults/e04abje.r | 6 + simple_examples/baseresults/e04bbje.r | 7 + simple_examples/baseresults/e04cbje.r | 4 + simple_examples/baseresults/e04fcje.r | 22 + simple_examples/baseresults/e04ffje.r | 73 +++ simple_examples/baseresults/e04gbje.r | 22 + simple_examples/baseresults/e04ggje.r | 44 ++ simple_examples/baseresults/e04mtje.r | 162 +++++++ simple_examples/baseresults/e04mxje.r | 38 ++ simple_examples/baseresults/e04ncje.r | 23 + simple_examples/baseresults/e04nfje.r | 66 +++ simple_examples/baseresults/e04nkje.r | 26 ++ simple_examples/baseresults/e04nqje.r | 6 + simple_examples/baseresults/e04ptje.r | 39 ++ simple_examples/baseresults/e04rpje.r | 105 +++++ simple_examples/baseresults/e04rsje.r | 35 ++ simple_examples/baseresults/e04rtje.r | 35 ++ simple_examples/baseresults/e04saje.r | 33 ++ simple_examples/baseresults/e04taje.r | 39 ++ simple_examples/baseresults/e04tcje.r | 58 +++ simple_examples/baseresults/e04uc_example.r | 95 ++++ simple_examples/baseresults/e04ucje.r | 22 + simple_examples/baseresults/e04yaje.r | 25 ++ simple_examples/baseresults/f01adje.r | 9 + simple_examples/baseresults/f01ckje.r | 5 + simple_examples/baseresults/f01crje.r | 6 + simple_examples/baseresults/f01dgje.r | 8 + simple_examples/baseresults/f01elje.r | 10 + simple_examples/baseresults/f01emje.r | 10 + simple_examples/baseresults/f02ekje.r | 20 + simple_examples/baseresults/f02fkje.r | 14 + simple_examples/baseresults/f02wgje.r | 7 + simple_examples/baseresults/f03baje.r | 14 + simple_examples/baseresults/f04amje.r | 4 + simple_examples/baseresults/f04baje.r | 14 + simple_examples/baseresults/f05aaje.r | 11 + simple_examples/baseresults/f06clje.r | 3 + simple_examples/baseresults/f07aaje.r | 14 + simple_examples/baseresults/f07abje.r | 23 + simple_examples/baseresults/f07adje.r | 10 + simple_examples/baseresults/f07aqje.r | 7 + simple_examples/baseresults/f07faje.r | 11 + simple_examples/baseresults/f07fbje.r | 19 + simple_examples/baseresults/f08btje.r | 16 + simple_examples/baseresults/f08faje.r | 16 + simple_examples/baseresults/f08xpje.r | 8 + simple_examples/baseresults/g01alje.r | 7 + simple_examples/baseresults/g02akje.r | 14 + simple_examples/baseresults/g02bjje.r | 38 ++ simple_examples/baseresults/g02brje.r | 29 ++ simple_examples/baseresults/g02daje.r | 31 ++ simple_examples/baseresults/g02eeje.r | 20 + simple_examples/baseresults/g02maje.r | 23 + simple_examples/baseresults/g03gaje.r | 79 ++++ simple_examples/baseresults/g05kfje.r | 7 + simple_examples/baseresults/g13awje.r | 4 + simple_examples/baseresults/g13meje.r | 39 ++ simple_examples/baseresults/g13naje.r | 11 + simple_examples/baseresults/h02bbje.r | 79 ++++ simple_examples/baseresults/h02daje.r | 14 + simple_examples/baseresults/m01ccje.r | 15 + .../baseresults/nagcomplexexample.r | 60 +++ simple_examples/baseresults/outputexample.r | 10 + simple_examples/baseresults/s01baje.r | 9 + simple_examples/baseresults/s10aaje.r | 7 + simple_examples/baseresults/s10abje.r | 8 + simple_examples/baseresults/s10acje.r | 8 + simple_examples/baseresults/s14abje.r | 12 + simple_examples/baseresults/s14acje.r | 8 + simple_examples/baseresults/s14afje.r | 5 + simple_examples/baseresults/s17dcje.r | 10 + simple_examples/baseresults/s17dgje.r | 9 + simple_examples/baseresults/s30aaje.r | 16 + simple_examples/baseresults/s30acje.r | 9 + .../baseresults/simpleroutineexample.r | 15 + .../baseresults/userdefinedfunctionexample1.r | 1 + .../baseresults/userdefinedfunctionexample2.r | 1 + simple_examples/baseresults/x03aaje.r | 3 + simple_examples/baseresults/x04cbje.r | 21 + simple_examples/baseresults/x05abje.r | 2 + simple_examples/data/c02abje.d | 14 + simple_examples/data/c02afje.d | 19 + simple_examples/data/c02agje.d | 9 + simple_examples/data/c02ahje.d | 2 + simple_examples/data/c02ajje.d | 2 + simple_examples/data/c02akje.d | 2 + simple_examples/data/c02alje.d | 2 + simple_examples/data/c02amje.d | 5 + simple_examples/data/c02anje.d | 6 + simple_examples/data/c05bbje.d | 7 + simple_examples/data/c06fkje.d | 11 + simple_examples/data/c09aaje.d | 11 + simple_examples/data/d03pcje.d | 6 + simple_examples/data/e02alje.d | 23 + simple_examples/data/e04fcje.d | 16 + simple_examples/data/e04mxje.d | 64 +++ simple_examples/data/e04ncje.d | 21 + simple_examples/data/e04nfje.d | 22 + simple_examples/data/e04nqje.d | 67 +++ simple_examples/data/e04rsje.d | 13 + simple_examples/data/e04rtje.d | 8 + simple_examples/data/e04saje.opt | 30 ++ simple_examples/data/e04tcje.d | 22 + simple_examples/data/f03baje.d | 5 + simple_examples/data/f04amje.d | 5 + simple_examples/data/f04baje.d | 13 + simple_examples/data/f05aaje.d | 6 + simple_examples/data/f08btje.d | 15 + simple_examples/data/f08xpje.d | 10 + simple_examples/data/g02bjje.d | 10 + simple_examples/data/g02daje.d | 15 + simple_examples/data/g02eeje.d | 24 + simple_examples/data/g02maje.d | 23 + simple_examples/data/g03gaje.d | 56 +++ simple_examples/data/g05kfje.d | 3 + simple_examples/data/g13naje.d | 14 + simple_examples/data/m01ccje.d | 13 + simple_examples/data/s14abje.d | 10 + simple_examples/data/s14acje.d | 5 + simple_examples/data/s14afje.d | 2 + simple_examples/data/s17dcje.d | 6 + simple_examples/data/s17dgje.d | 6 + simple_examples/data/s30aaje.d | 9 + simple_examples/data/s30acje.d | 9 + simple_examples/data/x03aaje.d | 5 + simple_examples/source/int32/A00AAJE.java | 16 + simple_examples/source/int32/A00ACJE.java | 29 ++ simple_examples/source/int32/A00ADJE.java | 107 +++++ simple_examples/source/int32/C02AAJE.java | 174 ++++++++ simple_examples/source/int32/C02ABJE.java | 217 +++++++++ simple_examples/source/int32/C02AFJE.java | 271 +++++++++++ simple_examples/source/int32/C02AGJE.java | 262 +++++++++++ simple_examples/source/int32/C02AHJE.java | 61 +++ simple_examples/source/int32/C02AJJE.java | 65 +++ simple_examples/source/int32/C02AKJE.java | 62 +++ simple_examples/source/int32/C02ALJE.java | 64 +++ simple_examples/source/int32/C02AMJE.java | 75 ++++ simple_examples/source/int32/C02ANJE.java | 80 ++++ simple_examples/source/int32/C05AUJE.java | 67 +++ simple_examples/source/int32/C05AWJE.java | 59 +++ simple_examples/source/int32/C05AYJE.java | 44 ++ simple_examples/source/int32/C05AZJE.java | 65 +++ simple_examples/source/int32/C05BBJE.java | 89 ++++ simple_examples/source/int32/C05MBJE.java | 95 ++++ simple_examples/source/int32/C05QBJE.java | 167 +++++++ simple_examples/source/int32/C06BAJE.java | 56 +++ simple_examples/source/int32/C06FKJE.java | 91 ++++ simple_examples/source/int32/C09AAJE.java | 158 +++++++ simple_examples/source/int32/D01BDJE.java | 58 +++ simple_examples/source/int32/D01RJJE.java | 184 ++++++++ simple_examples/source/int32/D01RKJE.java | 173 ++++++++ simple_examples/source/int32/D01RLJE.java | 196 ++++++++ simple_examples/source/int32/D01RMJE.java | 163 +++++++ simple_examples/source/int32/D01TCJE.java | 45 ++ simple_examples/source/int32/D02NEJE.java | 388 ++++++++++++++++ simple_examples/source/int32/D02TLJE.java | 290 ++++++++++++ simple_examples/source/int32/D03PCJE.java | 217 +++++++++ simple_examples/source/int32/D03RAJE.java | 307 +++++++++++++ simple_examples/source/int32/D03RBJE.java | 388 ++++++++++++++++ simple_examples/source/int32/D05BAJE.java | 111 +++++ simple_examples/source/int32/D05BEJE.java | 185 ++++++++ simple_examples/source/int32/DTFSMJE.java | 54 +++ simple_examples/source/int32/E01DAJE.java | 182 ++++++++ simple_examples/source/int32/E02ALJE.java | 101 +++++ simple_examples/source/int32/E04ABJE.java | 76 ++++ simple_examples/source/int32/E04BBJE.java | 81 ++++ simple_examples/source/int32/E04CBJE.java | 90 ++++ simple_examples/source/int32/E04FCJE.java | 420 ++++++++++++++++++ simple_examples/source/int32/E04FFJE.java | 140 ++++++ simple_examples/source/int32/E04GBJE.java | 183 ++++++++ simple_examples/source/int32/E04GGJE.java | 219 +++++++++ simple_examples/source/int32/E04MTJE.java | 132 ++++++ simple_examples/source/int32/E04MXJE.java | 292 ++++++++++++ simple_examples/source/int32/E04NCJE.java | 246 ++++++++++ simple_examples/source/int32/E04NFJE.java | 234 ++++++++++ simple_examples/source/int32/E04NKJE.java | 295 ++++++++++++ simple_examples/source/int32/E04NQJE.java | 384 ++++++++++++++++ simple_examples/source/int32/E04PTJE.java | 344 ++++++++++++++ simple_examples/source/int32/E04RPJE.java | 199 +++++++++ simple_examples/source/int32/E04RSJE.java | 229 ++++++++++ simple_examples/source/int32/E04RTJE.java | 225 ++++++++++ simple_examples/source/int32/E04SAJE.java | 104 +++++ simple_examples/source/int32/E04TAJE.java | 188 ++++++++ simple_examples/source/int32/E04TCJE.java | 263 +++++++++++ simple_examples/source/int32/E04UCJE.java | 211 +++++++++ simple_examples/source/int32/E04YAJE.java | 112 +++++ simple_examples/source/int32/F01ADJE.java | 39 ++ simple_examples/source/int32/F01CKJE.java | 60 +++ simple_examples/source/int32/F01CRJE.java | 47 ++ simple_examples/source/int32/F01DGJE.java | 72 +++ simple_examples/source/int32/F01ELJE.java | 89 ++++ simple_examples/source/int32/F01EMJE.java | 106 +++++ simple_examples/source/int32/F02EKJE.java | 227 ++++++++++ simple_examples/source/int32/F02FKJE.java | 230 ++++++++++ simple_examples/source/int32/F02WGJE.java | 132 ++++++ simple_examples/source/int32/F03BAJE.java | 108 +++++ simple_examples/source/int32/F04AMJE.java | 114 +++++ simple_examples/source/int32/F04BAJE.java | 144 ++++++ simple_examples/source/int32/F05AAJE.java | 99 +++++ simple_examples/source/int32/F06CLJE.java | 40 ++ simple_examples/source/int32/F07AAJE.java | 90 ++++ simple_examples/source/int32/F07ABJE.java | 134 ++++++ simple_examples/source/int32/F07ADJE.java | 72 +++ simple_examples/source/int32/F07AQJE.java | 99 +++++ simple_examples/source/int32/F07FAJE.java | 79 ++++ simple_examples/source/int32/F07FBJE.java | 122 +++++ simple_examples/source/int32/F08BTJE.java | 228 ++++++++++ simple_examples/source/int32/F08FAJE.java | 113 +++++ simple_examples/source/int32/F08XPJE.java | 297 +++++++++++++ simple_examples/source/int32/G01ALJE.java | 55 +++ simple_examples/source/int32/G02AKJE.java | 68 +++ simple_examples/source/int32/G02BJJE.java | 303 +++++++++++++ simple_examples/source/int32/G02BRJE.java | 134 ++++++ simple_examples/source/int32/G02DAJE.java | 187 ++++++++ simple_examples/source/int32/G02EEJE.java | 184 ++++++++ simple_examples/source/int32/G02MAJE.java | 130 ++++++ simple_examples/source/int32/G03GAJE.java | 355 +++++++++++++++ simple_examples/source/int32/G05KFJE.java | 105 +++++ simple_examples/source/int32/G13AWJE.java | 31 ++ simple_examples/source/int32/G13MEJE.java | 160 +++++++ simple_examples/source/int32/G13NAJE.java | 123 +++++ simple_examples/source/int32/H02BBJE.java | 92 ++++ simple_examples/source/int32/H02DAJE.java | 228 ++++++++++ simple_examples/source/int32/M01CCJE.java | 42 ++ simple_examples/source/int32/S01BAJE.java | 39 ++ simple_examples/source/int32/S10AAJE.java | 40 ++ simple_examples/source/int32/S10ABJE.java | 41 ++ simple_examples/source/int32/S10ACJE.java | 41 ++ simple_examples/source/int32/S14ABJE.java | 71 +++ simple_examples/source/int32/S14ACJE.java | 68 +++ simple_examples/source/int32/S14AFJE.java | 80 ++++ simple_examples/source/int32/S17DCJE.java | 69 +++ simple_examples/source/int32/S17DGJE.java | 61 +++ simple_examples/source/int32/S30AAJE.java | 109 +++++ simple_examples/source/int32/S30ACJE.java | 129 ++++++ simple_examples/source/int32/X03AAJE.java | 87 ++++ simple_examples/source/int32/X04CBJE.java | 53 +++ simple_examples/source/int32/X05ABJE.java | 25 ++ simple_examples/source/int64/A00AAJE.java | 14 + simple_examples/source/int64/A00ADJE.java | 113 +++++ simple_examples/source/int64/C05AYJE.java | 45 ++ simple_examples/source/int64/C05AZJE.java | 65 +++ simple_examples/source/int64/C05MBJE.java | 104 +++++ simple_examples/source/int64/C05QBJE.java | 178 ++++++++ simple_examples/source/int64/D01BDJE.java | 57 +++ simple_examples/source/int64/D02NEJE.java | 393 ++++++++++++++++ simple_examples/source/int64/DTFSMJE.java | 61 +++ simple_examples/source/int64/E01DAJE.java | 177 ++++++++ simple_examples/source/int64/E04FCJE.java | 415 +++++++++++++++++ simple_examples/source/int64/E04MTJE.java | 134 ++++++ simple_examples/source/int64/E04NFJE.java | 223 ++++++++++ simple_examples/source/int64/E04UCJE.java | 207 +++++++++ simple_examples/source/int64/F02EKJE.java | 230 ++++++++++ simple_examples/source/withdrawn/D02TKJE.java | 290 ++++++++++++ 290 files changed, 22288 insertions(+) create mode 100644 simple_examples/baseresults/a00aaje.r create mode 100644 simple_examples/baseresults/a00acje.r create mode 100644 simple_examples/baseresults/a00adje.r create mode 100644 simple_examples/baseresults/c02aaje.r create mode 100644 simple_examples/baseresults/c02abje.r create mode 100644 simple_examples/baseresults/c02afje.r create mode 100644 simple_examples/baseresults/c02agje.r create mode 100644 simple_examples/baseresults/c02ahje.r create mode 100644 simple_examples/baseresults/c02ajje.r create mode 100644 simple_examples/baseresults/c02akje.r create mode 100644 simple_examples/baseresults/c02alje.r create mode 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simple_examples/source/int64/D02NEJE.java create mode 100644 simple_examples/source/int64/DTFSMJE.java create mode 100644 simple_examples/source/int64/E01DAJE.java create mode 100644 simple_examples/source/int64/E04FCJE.java create mode 100644 simple_examples/source/int64/E04MTJE.java create mode 100644 simple_examples/source/int64/E04NFJE.java create mode 100644 simple_examples/source/int64/E04UCJE.java create mode 100644 simple_examples/source/int64/F02EKJE.java create mode 100644 simple_examples/source/withdrawn/D02TKJE.java diff --git a/simple_examples/baseresults/a00aaje.r b/simple_examples/baseresults/a00aaje.r new file mode 100644 index 0000000..adcba2f --- /dev/null +++ b/simple_examples/baseresults/a00aaje.r @@ -0,0 +1,10 @@ + A00AAJ Example Program Results + + *** Start of NAG Library implementation details *** + + Implementation title: Linux, 64-bit, Intel C/C++ (32-bit integers) + Precision: double precision + Product Code: CLL6I262CL + Mark: 27.2.0 (self-contained) + + *** End of NAG Library implementation details *** diff --git a/simple_examples/baseresults/a00acje.r b/simple_examples/baseresults/a00acje.r new file mode 100644 index 0000000..0012531 --- /dev/null +++ b/simple_examples/baseresults/a00acje.r @@ -0,0 +1,3 @@ + A00ACJ Example Program Results + + A valid licence key is available diff --git a/simple_examples/baseresults/a00adje.r b/simple_examples/baseresults/a00adje.r new file mode 100644 index 0000000..5fb1839 --- /dev/null +++ b/simple_examples/baseresults/a00adje.r @@ -0,0 +1,17 @@ + A00ADJ Example Program Results + +*** Start of NAG Library implementation details *** + +Implementation title: Linux, 64-bit, Intel C/C++ (32-bit integers) + Precision: Fortran double precision + Product code: CLL6I262CL + Mark: 26.2 + Vendor Library: None +Applicable to: + hardware: x86_64 + operating system: Linux 2.6.32-696.6.3.el6.x86_64 + Fortran compiler: Intel ifort Version 18.0.1.163 20171018 +and compatible systems. + Licence query: Successful + +*** End of NAG Library implementation details *** diff --git a/simple_examples/baseresults/c02aaje.r b/simple_examples/baseresults/c02aaje.r new file mode 100644 index 0000000..fa3083b --- /dev/null +++ b/simple_examples/baseresults/c02aaje.r @@ -0,0 +1,19 @@ + C02AAJ Example Program Results + + Example 1: Basic Problem + + i z conv berr cond + --------------------------------------------------- + 1 6.53E-03, 7.42E-03 3 9.25E-18 4.84E+00 + 2 -6.93E-03, -7.44E-03 2 0.00E+00 4.95E+00 + 3 -2.43E+01, -4.86E+00 3 8.41E-18 1.13E+01 + 4 1.47E+01, -1.66E+01 3 1.07E-17 9.99E+00 + 5 5.25E+00, 2.27E+01 3 2.08E-17 1.06E+01 + + Example 2: Polishing Processes + + polish relerr fwderr + ---------------------------- + 0 3.18E-10 1.15E-04 + 1 6.16E-11 8.49E-06 + 2 1.11E-16 1.11E-16 diff --git a/simple_examples/baseresults/c02abje.r b/simple_examples/baseresults/c02abje.r new file mode 100644 index 0000000..01b29cd --- /dev/null +++ b/simple_examples/baseresults/c02abje.r @@ -0,0 +1,12 @@ + C02ABJ Example Program Results + + Basic Problem + + i z conv berr cond + ----------------------------------------------------- + 1 ( 1.15E+00, 7.36E-01) 3 5.37E-18 1.34E+01 + 2 ( -1.67E+00, 3.25E-01) 3 6.34E-18 2.20E+01 + 3 ( 3.79E-01, -1.25E+00) 3 2.98E-18 1.02E+01 + 4 ( -1.67E+00, -3.25E-01) 3 4.57E-18 2.20E+01 + 5 ( 1.15E+00, -7.36E-01) 3 1.04E-17 1.34E+01 + 6 ( 3.79E-01, 1.25E+00) 2 1.66E-18 1.02E+01 diff --git a/simple_examples/baseresults/c02afje.r b/simple_examples/baseresults/c02afje.r new file mode 100644 index 0000000..386d4fe --- /dev/null +++ b/simple_examples/baseresults/c02afje.r @@ -0,0 +1,28 @@ + C02AFJ Example Program Results + + + Example 1 + + Degree of polynomial = 5 + + Computed roots of polynomial + + z = -2.4328E+01 -4.8555E+00*i + z = 5.2487E+00 +2.2736E+01*i + z = 1.4653E+01 -1.6569E+01*i + z = -6.9264E-03 -7.4434E-03*i + z = 6.5264E-03 +7.4232E-03*i + + + Example 2 + + Degree of polynomial = 5 + + Computed roots of polynomial Error estimates + (machine-dependent) + + z = -2.4328E+01 -4.8555E+00*i 5.7E-16 + z = 5.2487E+00 +2.2736E+01*i 1.5E-16 + z = 1.4653E+01 -1.6569E+01*i 4.8E-16 + z = -6.9264E-03 -7.4434E-03*i 1.1E-16 + z = 6.5264E-03 +7.4232E-03*i 1.8E-16 diff --git a/simple_examples/baseresults/c02agje.r b/simple_examples/baseresults/c02agje.r new file mode 100644 index 0000000..8e10c18 --- /dev/null +++ b/simple_examples/baseresults/c02agje.r @@ -0,0 +1,27 @@ + C02AGJ Example Program Results + + + Example 1 + + + Degree of polynomial = 5 + + Computed roots of polynomial + + z = -1.4918E+00 + z = 5.5169E-01 +/- 1.2533E+00*i + z = -8.0579E-01 +/- 1.2229E+00*i + + + Example 2 + + Degree of polynomial = 5 + + Computed roots of polynomial Error estimates + (machine-dependent) + + z = -1.4918E+00 +0.0000E+00*i 7.4E-16 + z = 5.5169E-01 +1.2533E+00*i 1.1E-16 + z = 5.5169E-01 -1.2533E+00*i 1.1E-16 + z = -8.0579E-01 +1.2229E+00*i 3.0E-16 + z = -8.0579E-01 -1.2229E+00*i 3.0E-16 diff --git a/simple_examples/baseresults/c02ahje.r b/simple_examples/baseresults/c02ahje.r new file mode 100644 index 0000000..e3efc97 --- /dev/null +++ b/simple_examples/baseresults/c02ahje.r @@ -0,0 +1,6 @@ + C02AHJ Example Program Results + + Roots of quadratic equation + + z = 1.0000E+00 +2.0000E+00*i + z = 2.0000E+00 -3.0000E+00*i diff --git a/simple_examples/baseresults/c02ajje.r b/simple_examples/baseresults/c02ajje.r new file mode 100644 index 0000000..944fa06 --- /dev/null +++ b/simple_examples/baseresults/c02ajje.r @@ -0,0 +1,6 @@ + C02AJJ Example Program Results + + Roots of quadratic equation + + z = 2.0000E+00 + z = -5.0000E+00 diff --git a/simple_examples/baseresults/c02akje.r b/simple_examples/baseresults/c02akje.r new file mode 100644 index 0000000..34b3e74 --- /dev/null +++ b/simple_examples/baseresults/c02akje.r @@ -0,0 +1,8 @@ + C02AKJ Example Program Results + + Roots of cubic equation Error estimates + (machine-dependent) + + z = 1.0000E+00 +0.0000E+00*i 1.0E-15 + z = -2.0000E+00 +3.0000E+00*i 1.0E-15 + z = -2.0000E+00 -3.0000E+00*i 1.0E-15 diff --git a/simple_examples/baseresults/c02alje.r b/simple_examples/baseresults/c02alje.r new file mode 100644 index 0000000..ff49a36 --- /dev/null +++ b/simple_examples/baseresults/c02alje.r @@ -0,0 +1,9 @@ + C02ALJ Example Program Results + + Roots of quartic equation Error estimates + (machine-dependent) + + z = 2.0000E+00 +0.0000E+00*i 1.2E-15 + z = -2.0000E+00 +0.0000E+00*i 1.1E-15 + z = -1.0000E+00 +3.0000E+00*i 1.1E-15 + z = -1.0000E+00 -3.0000E+00*i 1.1E-15 diff --git a/simple_examples/baseresults/c02amje.r b/simple_examples/baseresults/c02amje.r new file mode 100644 index 0000000..c2c70b4 --- /dev/null +++ b/simple_examples/baseresults/c02amje.r @@ -0,0 +1,8 @@ + C02AMJ Example Program Results + + Roots of cubic equation Error estimates + (machine-dependent) + + z = -2.0000E+00 +3.0000E+00*i 1.3E-15 + z = 1.0000E+00 -2.0000E+00*i 2.2E-15 + z = 3.0000E+00 -4.0000E+00*i 2.1E-15 diff --git a/simple_examples/baseresults/c02anje.r b/simple_examples/baseresults/c02anje.r new file mode 100644 index 0000000..4361b7e --- /dev/null +++ b/simple_examples/baseresults/c02anje.r @@ -0,0 +1,9 @@ + C02ANJ Example Program Results + + Roots of quartic equation Error estimates + (machine-dependent) + + z = 3.0000E+00 -2.0000E+00*i 1.8E-15 + z = 1.0000E+00 -2.0000E+00*i 1.8E-15 + z = -2.0000E+00 +1.0000E+00*i 1.8E-15 + z = -2.0000E+00 +3.0000E+00*i 1.8E-15 diff --git a/simple_examples/baseresults/c05auje.r b/simple_examples/baseresults/c05auje.r new file mode 100644 index 0000000..1c8bb18 --- /dev/null +++ b/simple_examples/baseresults/c05auje.r @@ -0,0 +1,4 @@ +C05AUJ Example Program Results + +Root is : 0.56714 +Interval searched is : [ 0.50000, 0.90000] diff --git a/simple_examples/baseresults/c05awje.r b/simple_examples/baseresults/c05awje.r new file mode 100644 index 0000000..0868382 --- /dev/null +++ b/simple_examples/baseresults/c05awje.r @@ -0,0 +1,4 @@ +C05AWJ Example Program Results + +With eps = 1.00e-03 root = 0.56715 +With eps = 1.00e-04 root = 0.56715 diff --git a/simple_examples/baseresults/c05ayje.r b/simple_examples/baseresults/c05ayje.r new file mode 100644 index 0000000..50a0010 --- /dev/null +++ b/simple_examples/baseresults/c05ayje.r @@ -0,0 +1,3 @@ +C05AYJ Example Program Results + +Zero at x = 0.56714 diff --git a/simple_examples/baseresults/c05azje.r b/simple_examples/baseresults/c05azje.r new file mode 100644 index 0000000..1d3b6bc --- /dev/null +++ b/simple_examples/baseresults/c05azje.r @@ -0,0 +1,15 @@ + C05AZJ Example Program Results + + Iterations + + X = 0.00000 FX = 1.0000E+00 IND = 2 + X = 1.00000 FX = -6.3212E-01 IND = 3 + X = 0.61270 FX = -7.0814E-02 IND = 4 + X = 0.56707 FX = 1.1542E-04 IND = 4 + X = 0.56714 FX = -9.4481E-07 IND = 4 + X = 0.56713 FX = 1.4727E-05 IND = 4 + X = 0.56714 FX = -9.4481E-07 IND = 4 + + Solution + + X = 0.56714 Y = 0.56713 diff --git a/simple_examples/baseresults/c05bbje.r b/simple_examples/baseresults/c05bbje.r new file mode 100644 index 0000000..a963b94 --- /dev/null +++ b/simple_examples/baseresults/c05bbje.r @@ -0,0 +1,10 @@ +C05BBJ Example Program Results +Branch = 0 +Offset = false + + Z W(Z) RESID IFAIL + +(5.00000e-01, -1.00000e+00) (5.16511e-01, -4.22053e-01) 5.55112e-17 0 +(1.00000e+00, 2.30000e+00) (8.73606e-01, 5.76978e-01) 1.11022e-16 0 +(4.50000e+00, -1.00000e-01) (1.26735e+00, -1.24194e-02) 0.00000e+00 0 +(6.00000e+00, 6.00000e+00) (1.61492e+00, 4.90515e-01) 1.25607e-15 0 diff --git a/simple_examples/baseresults/c05mbje.r b/simple_examples/baseresults/c05mbje.r new file mode 100644 index 0000000..49cdab8 --- /dev/null +++ b/simple_examples/baseresults/c05mbje.r @@ -0,0 +1,8 @@ +C05MBJ Example Program Results + + +Final 2-norm of the residuals = 2.4765e-08 + +Final approximate solution + + 0.7682 0.7862 0.6948 0.6180 diff --git a/simple_examples/baseresults/c05qbje.r b/simple_examples/baseresults/c05qbje.r new file mode 100644 index 0000000..e161a18 --- /dev/null +++ b/simple_examples/baseresults/c05qbje.r @@ -0,0 +1,8 @@ + C05QBJ Example Program Results + + Final 2-norm of the residuals = 1.1926E-08 + + Final approximate solution + -0.5707 -0.6816 -0.7017 + -0.7042 -0.7014 -0.6919 + -0.6658 -0.5960 -0.4164 diff --git a/simple_examples/baseresults/c06baje.r b/simple_examples/baseresults/c06baje.r new file mode 100644 index 0000000..7049ba9 --- /dev/null +++ b/simple_examples/baseresults/c06baje.r @@ -0,0 +1,15 @@ +C06BAJ Example Program Results + + Estimated Actual +I SEQN RESULT abs error error + +1 1.0000 1.0000 - 1.78e-01 +2 0.7500 0.7500 - -7.25e-02 +3 0.8611 0.8269 - 4.46e-03 +4 0.7986 0.8211 2.56e-01 -1.36e-03 +5 0.8386 0.8226 7.84e-02 1.23e-04 +6 0.8108 0.8224 5.97e-03 -3.26e-05 +7 0.8312 0.8225 1.52e-03 3.50e-06 +8 0.8156 0.8225 1.60e-04 -8.51e-07 +9 0.8280 0.8225 3.70e-05 1.01e-07 +10 0.8180 0.8225 4.48e-06 -2.32e-08 \ No newline at end of file diff --git a/simple_examples/baseresults/c06fkje.r b/simple_examples/baseresults/c06fkje.r new file mode 100644 index 0000000..8ef60db --- /dev/null +++ b/simple_examples/baseresults/c06fkje.r @@ -0,0 +1,13 @@ +C06FKJ Example Program Results + + Covolution Correlation + +0 0.50000 2.00000 +1 1.00000 1.50000 +2 1.50000 1.00000 +3 2.00000 0.50000 +4 2.00000 0.00000 +5 1.50000 0.50000 +6 1.00000 1.00000 +7 0.50000 1.50000 +8 0.00000 2.00000 diff --git a/simple_examples/baseresults/c09aaje.r b/simple_examples/baseresults/c09aaje.r new file mode 100644 index 0000000..950c020 --- /dev/null +++ b/simple_examples/baseresults/c09aaje.r @@ -0,0 +1,18 @@ +C09AAJ Example Program Results + +Parameters read from file :: + Wavelet : Haar End mode : Zero N = 8 +Input data X : +2.000 5.000 8.000 9.000 7.000 4.000 -1.000 1.000 + +Length of wavelet filter : 2 +Number of Levels : 3 +Number of coefficients in each level: + 1 1 2 4 +Total number of wavelength coefficients : 8 + +Wavelet coefficients C: +12.374 4.596 -5.000 5.500 -2.121 -0.707 2.121 -1.414 + +Reconstruction Y : +2.000 5.000 8.000 9.000 7.000 4.000 -1.000 1.000 \ No newline at end of file diff --git a/simple_examples/baseresults/complexargumentexample.r b/simple_examples/baseresults/complexargumentexample.r new file mode 100644 index 0000000..19fc96c --- /dev/null +++ b/simple_examples/baseresults/complexargumentexample.r @@ -0,0 +1 @@ +(1.0, 1.0)/(2.0, 2.0) = (0.5, 0.0) diff --git a/simple_examples/baseresults/d01bdje.r b/simple_examples/baseresults/d01bdje.r new file mode 100644 index 0000000..23c78d1 --- /dev/null +++ b/simple_examples/baseresults/d01bdje.r @@ -0,0 +1,9 @@ + D01BDJ Example Program Results + + A - lower limit of integration = 0.0000 + B - upper limit of integration = 1.0000 + EPSABS - absolute accuracy requested = 0.00E+00 + EPSREL - relative accuracy requested = 1.00E-04 + + RESULT - approximation to the integral = -0.03183 + ABSERR - estimate to the absolute error = 1.34E-11 diff --git a/simple_examples/baseresults/d02neje.r b/simple_examples/baseresults/d02neje.r new file mode 100644 index 0000000..b735aaf --- /dev/null +++ b/simple_examples/baseresults/d02neje.r @@ -0,0 +1,25 @@ + D02NEJ Example Program Results + + D02NEF Example 1 + + t Y(1) Y(2) Y(3) + 0.0000 1.000000 0.000000 0.000000 + 0.0200 0.999204 0.000036 0.000760 + 0.0400 0.998415 0.000036 0.001549 + 0.0600 0.997631 0.000036 0.002333 + 0.0800 0.996852 0.000036 0.003112 + 0.1000 0.996080 0.000036 0.003884 + + The integrator completed task, ITASK = 3 + + D02NEF Example 2 + + t y(1) + 0.0000 2.000000 + 0.2000 2.038016 + 0.4000 2.078379 + 0.6000 2.121462 + 0.8000 2.167736 + 1.0000 2.217821 + + The integrator completed task, ITASK = 3 diff --git a/simple_examples/baseresults/d02tkje.r b/simple_examples/baseresults/d02tkje.r new file mode 100644 index 0000000..4029a48 --- /dev/null +++ b/simple_examples/baseresults/d02tkje.r @@ -0,0 +1,113 @@ + D02TKJ Example Program Results + + + Tolerance = 1.0E-04 R = 1.000E+06 + + Used a mesh of 21 points + Maximum error = 6.16E-10 in interval 20 for component 3 + + + Mesh points: + 1(1) 0.000E+00 2(3) 5.000E-02 3(2) 1.000E-01 4(3) 1.500E-01 + 5(2) 2.000E-01 6(3) 2.500E-01 7(2) 3.000E-01 8(3) 3.500E-01 + 9(2) 4.000E-01 10(3) 4.500E-01 11(2) 5.000E-01 12(3) 5.500E-01 + 13(2) 6.000E-01 14(3) 6.500E-01 15(2) 7.000E-01 16(3) 7.500E-01 + 17(2) 8.000E-01 18(3) 8.500E-01 19(2) 9.000E-01 20(3) 9.500E-01 + 21(1) 1.000E+00 + + x f f' g + 0.000 0.0000 0.0000 1.0000 + 0.050 0.0070 0.1805 0.4416 + 0.100 0.0141 0.0977 0.1886 + 0.150 0.0171 0.0252 0.0952 + 0.200 0.0172 -0.0165 0.0595 + 0.250 0.0157 -0.0400 0.0427 + 0.300 0.0133 -0.0540 0.0322 + 0.350 0.0104 -0.0628 0.0236 + 0.400 0.0071 -0.0683 0.0156 + 0.450 0.0036 -0.0714 0.0078 + 0.500 0.0000 -0.0724 0.0000 + 0.550 -0.0036 -0.0714 -0.0078 + 0.600 -0.0071 -0.0683 -0.0156 + 0.650 -0.0104 -0.0628 -0.0236 + 0.700 -0.0133 -0.0540 -0.0322 + 0.750 -0.0157 -0.0400 -0.0427 + 0.800 -0.0172 -0.0165 -0.0595 + 0.850 -0.0171 0.0252 -0.0952 + 0.900 -0.0141 0.0977 -0.1886 + 0.950 -0.0070 0.1805 -0.4416 + 1.000 -0.0000 0.0000 -1.0000 + + Tolerance = 1.0E-04 R = 1.000E+08 + + Used a mesh of 21 points + Maximum error = 4.49E-09 in interval 6 for component 3 + + + Mesh points: + 1(1) 0.000E+00 2(3) 1.757E-02 3(2) 3.515E-02 4(3) 5.203E-02 + 5(2) 6.891E-02 6(3) 8.593E-02 7(2) 1.030E-01 8(3) 1.351E-01 + 9(2) 1.672E-01 10(3) 2.306E-01 11(2) 2.939E-01 12(3) 4.713E-01 + 13(2) 6.486E-01 14(3) 7.455E-01 15(2) 8.423E-01 16(3) 8.824E-01 + 17(2) 9.225E-01 18(3) 9.449E-01 19(2) 9.673E-01 20(3) 9.836E-01 + 21(1) 1.000E+00 + + x f f' g + 0.000 0.0000 0.0000 1.0000 + 0.018 0.0025 0.1713 0.3923 + 0.035 0.0047 0.0824 0.1381 + 0.052 0.0056 0.0267 0.0521 + 0.069 0.0058 0.0025 0.0213 + 0.086 0.0057 -0.0073 0.0097 + 0.103 0.0056 -0.0113 0.0053 + 0.135 0.0052 -0.0135 0.0027 + 0.167 0.0047 -0.0140 0.0020 + 0.231 0.0038 -0.0142 0.0015 + 0.294 0.0029 -0.0142 0.0012 + 0.471 0.0004 -0.0143 0.0002 + 0.649 -0.0021 -0.0143 -0.0008 + 0.745 -0.0035 -0.0142 -0.0014 + 0.842 -0.0049 -0.0139 -0.0022 + 0.882 -0.0054 -0.0127 -0.0036 + 0.922 -0.0058 -0.0036 -0.0141 + 0.945 -0.0057 0.0205 -0.0439 + 0.967 -0.0045 0.0937 -0.1592 + 0.984 -0.0023 0.1753 -0.4208 + 1.000 -0.0000 0.0000 -1.0000 + + Tolerance = 1.0E-04 R = 1.000E+10 + + Used a mesh of 21 points + Maximum error = 3.13E-06 in interval 7 for component 3 + + + Mesh points: + 1(1) 0.000E+00 2(3) 6.256E-03 3(2) 1.251E-02 4(3) 1.851E-02 + 5(2) 2.450E-02 6(3) 3.076E-02 7(2) 3.702E-02 8(3) 4.997E-02 + 9(2) 6.292E-02 10(3) 9.424E-02 11(2) 1.256E-01 12(3) 4.190E-01 + 13(2) 7.125E-01 14(3) 8.246E-01 15(2) 9.368E-01 16(3) 9.544E-01 + 17(2) 9.719E-01 18(3) 9.803E-01 19(2) 9.886E-01 20(3) 9.943E-01 + 21(1) 1.000E+00 + + x f f' g + 0.000 0.0000 0.0000 1.0000 + 0.006 0.0009 0.1623 0.3422 + 0.013 0.0016 0.0665 0.1021 + 0.019 0.0018 0.0204 0.0318 + 0.025 0.0019 0.0041 0.0099 + 0.031 0.0019 -0.0014 0.0028 + 0.037 0.0019 -0.0031 0.0007 + 0.050 0.0019 -0.0038 -0.0002 + 0.063 0.0018 -0.0038 -0.0003 + 0.094 0.0017 -0.0039 -0.0003 + 0.126 0.0016 -0.0039 -0.0002 + 0.419 0.0004 -0.0041 -0.0001 + 0.712 -0.0008 -0.0042 0.0001 + 0.825 -0.0013 -0.0043 0.0002 + 0.937 -0.0018 -0.0043 0.0003 + 0.954 -0.0019 -0.0042 0.0001 + 0.972 -0.0019 -0.0003 -0.0049 + 0.980 -0.0019 0.0152 -0.0252 + 0.989 -0.0015 0.0809 -0.1279 + 0.994 -0.0008 0.1699 -0.3814 + 1.000 0.0000 -0.0000 -1.0000 diff --git a/simple_examples/baseresults/d02tlje.r b/simple_examples/baseresults/d02tlje.r new file mode 100644 index 0000000..b56a57d --- /dev/null +++ b/simple_examples/baseresults/d02tlje.r @@ -0,0 +1,113 @@ + D02TLJ Example Program Results + + + Tolerance = 1.0E-04 R = 1.000E+06 + + Used a mesh of 21 points + Maximum error = 6.16E-10 in interval 20 for component 3 + + + Mesh points: + 1(1) 0.000E+00 2(3) 5.000E-02 3(2) 1.000E-01 4(3) 1.500E-01 + 5(2) 2.000E-01 6(3) 2.500E-01 7(2) 3.000E-01 8(3) 3.500E-01 + 9(2) 4.000E-01 10(3) 4.500E-01 11(2) 5.000E-01 12(3) 5.500E-01 + 13(2) 6.000E-01 14(3) 6.500E-01 15(2) 7.000E-01 16(3) 7.500E-01 + 17(2) 8.000E-01 18(3) 8.500E-01 19(2) 9.000E-01 20(3) 9.500E-01 + 21(1) 1.000E+00 + + x f f' g + 0.000 0.0000 0.0000 1.0000 + 0.050 0.0070 0.1805 0.4416 + 0.100 0.0141 0.0977 0.1886 + 0.150 0.0171 0.0252 0.0952 + 0.200 0.0172 -0.0165 0.0595 + 0.250 0.0157 -0.0400 0.0427 + 0.300 0.0133 -0.0540 0.0322 + 0.350 0.0104 -0.0628 0.0236 + 0.400 0.0071 -0.0683 0.0156 + 0.450 0.0036 -0.0714 0.0078 + 0.500 0.0000 -0.0724 0.0000 + 0.550 -0.0036 -0.0714 -0.0078 + 0.600 -0.0071 -0.0683 -0.0156 + 0.650 -0.0104 -0.0628 -0.0236 + 0.700 -0.0133 -0.0540 -0.0322 + 0.750 -0.0157 -0.0400 -0.0427 + 0.800 -0.0172 -0.0165 -0.0595 + 0.850 -0.0171 0.0252 -0.0952 + 0.900 -0.0141 0.0977 -0.1886 + 0.950 -0.0070 0.1805 -0.4416 + 1.000 -0.0000 0.0000 -1.0000 + + Tolerance = 1.0E-04 R = 1.000E+08 + + Used a mesh of 21 points + Maximum error = 4.49E-09 in interval 6 for component 3 + + + Mesh points: + 1(1) 0.000E+00 2(3) 1.757E-02 3(2) 3.515E-02 4(3) 5.203E-02 + 5(2) 6.891E-02 6(3) 8.593E-02 7(2) 1.030E-01 8(3) 1.351E-01 + 9(2) 1.672E-01 10(3) 2.306E-01 11(2) 2.939E-01 12(3) 4.713E-01 + 13(2) 6.486E-01 14(3) 7.455E-01 15(2) 8.423E-01 16(3) 8.824E-01 + 17(2) 9.225E-01 18(3) 9.449E-01 19(2) 9.673E-01 20(3) 9.836E-01 + 21(1) 1.000E+00 + + x f f' g + 0.000 0.0000 0.0000 1.0000 + 0.018 0.0025 0.1713 0.3923 + 0.035 0.0047 0.0824 0.1381 + 0.052 0.0056 0.0267 0.0521 + 0.069 0.0058 0.0025 0.0213 + 0.086 0.0057 -0.0073 0.0097 + 0.103 0.0056 -0.0113 0.0053 + 0.135 0.0052 -0.0135 0.0027 + 0.167 0.0047 -0.0140 0.0020 + 0.231 0.0038 -0.0142 0.0015 + 0.294 0.0029 -0.0142 0.0012 + 0.471 0.0004 -0.0143 0.0002 + 0.649 -0.0021 -0.0143 -0.0008 + 0.745 -0.0035 -0.0142 -0.0014 + 0.842 -0.0049 -0.0139 -0.0022 + 0.882 -0.0054 -0.0127 -0.0036 + 0.922 -0.0058 -0.0036 -0.0141 + 0.945 -0.0057 0.0205 -0.0439 + 0.967 -0.0045 0.0937 -0.1592 + 0.984 -0.0023 0.1753 -0.4208 + 1.000 -0.0000 0.0000 -1.0000 + + Tolerance = 1.0E-04 R = 1.000E+10 + + Used a mesh of 21 points + Maximum error = 3.13E-06 in interval 7 for component 3 + + + Mesh points: + 1(1) 0.000E+00 2(3) 6.256E-03 3(2) 1.251E-02 4(3) 1.851E-02 + 5(2) 2.450E-02 6(3) 3.076E-02 7(2) 3.702E-02 8(3) 4.997E-02 + 9(2) 6.292E-02 10(3) 9.424E-02 11(2) 1.256E-01 12(3) 4.190E-01 + 13(2) 7.125E-01 14(3) 8.246E-01 15(2) 9.368E-01 16(3) 9.544E-01 + 17(2) 9.719E-01 18(3) 9.803E-01 19(2) 9.886E-01 20(3) 9.943E-01 + 21(1) 1.000E+00 + + x f f' g + 0.000 0.0000 0.0000 1.0000 + 0.006 0.0009 0.1623 0.3422 + 0.013 0.0016 0.0665 0.1021 + 0.019 0.0018 0.0204 0.0318 + 0.025 0.0019 0.0041 0.0099 + 0.031 0.0019 -0.0014 0.0028 + 0.037 0.0019 -0.0031 0.0007 + 0.050 0.0019 -0.0038 -0.0002 + 0.063 0.0018 -0.0038 -0.0003 + 0.094 0.0017 -0.0039 -0.0003 + 0.126 0.0016 -0.0039 -0.0002 + 0.419 0.0004 -0.0041 -0.0001 + 0.712 -0.0008 -0.0042 0.0001 + 0.825 -0.0013 -0.0043 0.0002 + 0.937 -0.0018 -0.0043 0.0003 + 0.954 -0.0019 -0.0042 0.0001 + 0.972 -0.0019 -0.0003 -0.0049 + 0.980 -0.0019 0.0152 -0.0252 + 0.989 -0.0015 0.0809 -0.1279 + 0.994 -0.0008 0.1699 -0.3814 + 1.000 0.0000 -0.0000 -1.0000 diff --git a/simple_examples/baseresults/d03pcje.r b/simple_examples/baseresults/d03pcje.r new file mode 100644 index 0000000..154a2d9 --- /dev/null +++ b/simple_examples/baseresults/d03pcje.r @@ -0,0 +1,28 @@ +D03PCJ Example Program Results +Accuracy requirement = 1.00000e-03 + Parameter ALPHA = 1.000e+00 +T / X 0.0000 0.4000 0.6000 0.8000 0.9000 1.0000 + +0.0001 U(1) 0.0000 0.8008 1.1988 1.5990 1.7958 1.8485 + U(2) 0.9997 0.9995 0.9994 0.9988 0.9663 -0.0000 + + +0.0010 U(1) 0.0000 0.7982 1.1940 1.5841 1.7179 1.6734 + U(2) 0.9969 0.9952 0.9937 0.9484 0.6385 -0.0000 + + +0.0100 U(1) 0.0000 0.7676 1.1239 1.3547 1.3635 1.2830 + U(2) 0.9627 0.9495 0.8754 0.5537 0.2908 -0.0000 + + +0.1000 U(1) 0.0000 0.3908 0.5007 0.5297 0.5120 0.4744 + U(2) 0.5468 0.4299 0.2995 0.1479 0.0724 -0.0000 + + +1.0000 U(1) 0.0000 0.0007 0.0008 0.0008 0.0008 0.0007 + U(2) 0.0010 0.0007 0.0005 0.0002 0.0001 -0.0000 + +Number of Integration steps in time 78 +Number of residual evaluations of resulting ODE system 378 +Number of Jacobian evaluations 25 +Number of iterations of nonlinear solver 190 diff --git a/simple_examples/baseresults/d03raje.r b/simple_examples/baseresults/d03raje.r new file mode 100644 index 0000000..59cf403 --- /dev/null +++ b/simple_examples/baseresults/d03raje.r @@ -0,0 +1,409 @@ + D03RAJ Example Program Results + + Statistics: + Time = 0.2400 + Total number of accepted timesteps = 77 + Total number of rejected timesteps = 0 + + Total number (rounded) of + Residual Jacobian Newton Lin sys + evals evals iters iters + At level + 1 600 80 200 200 + + Maximum number of + Newton iters Lin sys iters + At level + 1 2 3 + + Solution at every 4th grid point in level 2 at time 0.2500: + + x y approx u + + 6.7500E-01 0.000E+00 2.000E+00 + 7.2500E-01 0.000E+00 1.980E+00 + 7.7500E-01 0.000E+00 1.342E+00 + 8.2500E-01 0.000E+00 1.190E+00 + 7.1250E-01 1.250E-02 1.996E+00 + 7.6250E-01 1.250E-02 1.468E+00 + 8.1250E-01 1.250E-02 1.213E+00 + 7.0000E-01 2.500E-02 1.999E+00 + 7.5000E-01 2.500E-02 1.625E+00 + 8.0000E-01 2.500E-02 1.240E+00 + 6.8750E-01 3.750E-02 2.000E+00 + 7.3750E-01 3.750E-02 1.870E+00 + 7.8750E-01 3.750E-02 1.283E+00 + 6.7500E-01 5.000E-02 2.000E+00 + 7.2500E-01 5.000E-02 1.980E+00 + 7.7500E-01 5.000E-02 1.342E+00 + 8.2500E-01 5.000E-02 1.190E+00 + 7.1250E-01 6.250E-02 1.996E+00 + 7.6250E-01 6.250E-02 1.468E+00 + 8.1250E-01 6.250E-02 1.213E+00 + 7.0000E-01 7.500E-02 1.999E+00 + 7.5000E-01 7.500E-02 1.625E+00 + 8.0000E-01 7.500E-02 1.240E+00 + 6.8750E-01 8.750E-02 2.000E+00 + 7.3750E-01 8.750E-02 1.870E+00 + 7.8750E-01 8.750E-02 1.283E+00 + 6.7500E-01 1.000E-01 2.000E+00 + 7.2500E-01 1.000E-01 1.980E+00 + 7.7500E-01 1.000E-01 1.342E+00 + 8.2500E-01 1.000E-01 1.190E+00 + 7.1250E-01 1.125E-01 1.996E+00 + 7.6250E-01 1.125E-01 1.468E+00 + 8.1250E-01 1.125E-01 1.213E+00 + 7.0000E-01 1.250E-01 1.999E+00 + 7.5000E-01 1.250E-01 1.625E+00 + 8.0000E-01 1.250E-01 1.240E+00 + 6.8750E-01 1.375E-01 2.000E+00 + 7.3750E-01 1.375E-01 1.870E+00 + 7.8750E-01 1.375E-01 1.283E+00 + 6.7500E-01 1.500E-01 2.000E+00 + 7.2500E-01 1.500E-01 1.980E+00 + 7.7500E-01 1.500E-01 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+ 2.7500E-01 7.750E-01 1.339E+00 + 3.2500E-01 7.750E-01 1.335E+00 + 3.7500E-01 7.750E-01 1.329E+00 + 4.2500E-01 7.750E-01 1.317E+00 + 4.7500E-01 7.750E-01 1.301E+00 + 5.2500E-01 7.750E-01 1.280E+00 + 5.7500E-01 7.750E-01 1.256E+00 + 6.2500E-01 7.750E-01 1.231E+00 + 6.7500E-01 7.750E-01 1.205E+00 + 3.7500E-02 7.875E-01 1.283E+00 + 8.7500E-02 7.875E-01 1.283E+00 + 1.3750E-01 7.875E-01 1.283E+00 + 1.8750E-01 7.875E-01 1.282E+00 + 2.3750E-01 7.875E-01 1.282E+00 + 2.8750E-01 7.875E-01 1.281E+00 + 3.3750E-01 7.875E-01 1.279E+00 + 3.8750E-01 7.875E-01 1.274E+00 + 4.3750E-01 7.875E-01 1.267E+00 + 4.8750E-01 7.875E-01 1.257E+00 + 5.3750E-01 7.875E-01 1.243E+00 + 5.8750E-01 7.875E-01 1.226E+00 + 0.0000E+00 8.000E-01 1.240E+00 + 5.0000E-02 8.000E-01 1.240E+00 + 1.0000E-01 8.000E-01 1.240E+00 + 1.5000E-01 8.000E-01 1.240E+00 + 2.0000E-01 8.000E-01 1.240E+00 + 2.5000E-01 8.000E-01 1.240E+00 + 3.0000E-01 8.000E-01 1.239E+00 + 3.5000E-01 8.000E-01 1.238E+00 + 4.0000E-01 8.000E-01 1.235E+00 + 4.5000E-01 8.000E-01 1.230E+00 + 5.0000E-01 8.000E-01 1.224E+00 + 5.5000E-01 8.000E-01 1.214E+00 + 6.0000E-01 8.000E-01 1.202E+00 + 1.2500E-02 8.125E-01 1.213E+00 + 6.2500E-02 8.125E-01 1.213E+00 + 1.1250E-01 8.125E-01 1.213E+00 + 1.6250E-01 8.125E-01 1.213E+00 + 2.1250E-01 8.125E-01 1.212E+00 + 2.6250E-01 8.125E-01 1.212E+00 + 3.1250E-01 8.125E-01 1.212E+00 + 3.6250E-01 8.125E-01 1.211E+00 + 4.1250E-01 8.125E-01 1.209E+00 + 4.6250E-01 8.125E-01 1.206E+00 + 0.0000E+00 8.250E-01 1.190E+00 + 5.0000E-02 8.250E-01 1.190E+00 + 1.0000E-01 8.250E-01 1.190E+00 + 1.5000E-01 8.250E-01 1.190E+00 + 2.0000E-01 8.250E-01 1.189E+00 + 2.5000E-01 8.250E-01 1.189E+00 + 3.0000E-01 8.250E-01 1.189E+00 + 3.5000E-01 8.250E-01 1.189E+00 + 4.0000E-01 8.250E-01 1.187E+00 + 4.5000E-01 8.250E-01 1.185E+00 + 5.0000E-01 8.250E-01 1.182E+00 + + Statistics: + Time = 0.2500 + Total number of accepted timesteps = 161 + Total number of rejected timesteps = 2 + + Total number (rounded) of + Residual Jacobian Newton Lin sys + evals evals iters iters + At level + 1 1000 200 400 400 + 2 200 20 50 50 + + Maximum number of + Newton iters Lin sys iters + At level + 1 4 3 + 2 4 1 diff --git a/simple_examples/baseresults/d03rbje.r b/simple_examples/baseresults/d03rbje.r new file mode 100644 index 0000000..f49a127 --- /dev/null +++ b/simple_examples/baseresults/d03rbje.r @@ -0,0 +1,59 @@ + D03RBJ Example Program Results + + Solution at every 2nd grid point in level 1 at time 1.0000: + + x y approx u exact u approx v exact v + + 0.00 0.00 0.50 0.50 1.00 1.00 + 0.20 0.00 0.50 0.50 1.00 1.00 + 0.10 0.10 0.50 0.50 1.00 1.00 + 0.30 0.10 0.50 0.50 1.00 1.00 + 0.50 0.10 0.50 0.50 1.00 1.00 + 0.70 0.10 0.50 0.50 1.00 1.00 + 0.90 0.10 0.50 0.50 1.00 1.00 + 0.00 0.20 0.50 0.50 1.00 1.00 + 0.20 0.20 0.50 0.50 1.00 1.00 + 0.40 0.20 0.50 0.50 1.00 1.00 + 0.60 0.20 0.50 0.50 1.00 1.00 + 0.80 0.20 0.50 0.50 1.00 1.00 + 1.00 0.20 0.50 0.50 1.00 1.00 + 0.10 0.30 0.50 0.50 1.00 1.00 + 0.30 0.30 0.50 0.50 1.00 1.00 + 0.50 0.30 0.50 0.50 1.00 1.00 + 0.70 0.30 0.50 0.50 1.00 1.00 + 0.90 0.30 0.50 0.50 1.00 1.00 + 0.00 0.40 0.75 0.75 0.75 0.75 + 0.20 0.40 0.50 0.50 1.00 1.00 + 0.40 0.40 0.50 0.50 1.00 1.00 + 0.80 0.40 0.50 0.50 1.00 1.00 + 1.00 0.40 0.50 0.50 1.00 1.00 + 0.10 0.50 0.75 0.75 0.75 0.75 + 0.30 0.50 0.50 0.50 1.00 1.00 + 0.50 0.50 0.50 0.50 1.00 1.00 + 0.70 0.50 0.50 0.50 1.00 1.00 + 0.90 0.50 0.50 0.50 1.00 1.00 + 0.00 0.60 0.75 0.75 0.75 0.75 + 0.20 0.60 0.75 0.75 0.75 0.75 + 0.40 0.60 0.50 0.50 1.00 1.00 + 0.60 0.60 0.50 0.50 1.00 1.00 + 0.80 0.60 0.50 0.50 1.00 1.00 + 1.00 0.60 0.50 0.50 1.00 1.00 + 0.10 0.70 0.75 0.75 0.75 0.75 + 0.30 0.70 0.75 0.75 0.75 0.75 + 0.50 0.70 0.50 0.50 1.00 1.00 + 0.70 0.70 0.50 0.50 1.00 1.00 + 0.90 0.70 0.50 0.50 1.00 1.00 + 0.00 0.80 0.75 0.75 0.75 0.75 + 0.20 0.80 0.75 0.75 0.75 0.75 + 0.40 0.80 0.75 0.75 0.75 0.75 + 0.60 0.80 0.50 0.50 1.00 1.00 + 0.80 0.80 0.50 0.50 1.00 1.00 + 0.10 0.90 0.75 0.75 0.75 0.75 + 0.30 0.90 0.75 0.75 0.75 0.75 + 0.50 0.90 0.75 0.75 0.75 0.75 + 0.70 0.90 0.50 0.50 1.00 1.00 + 0.00 1.00 0.75 0.75 0.75 0.75 + 0.20 1.00 0.75 0.75 0.75 0.75 + 0.40 1.00 0.75 0.75 0.75 0.75 + 0.60 1.00 0.75 0.75 0.75 0.75 + 0.80 1.00 0.50 0.50 1.00 1.00 diff --git a/simple_examples/baseresults/d05baje.r b/simple_examples/baseresults/d05baje.r new file mode 100644 index 0000000..0833ea2 --- /dev/null +++ b/simple_examples/baseresults/d05baje.r @@ -0,0 +1,12 @@ +D05BAJ Example Program Results + +Size of workplace = 486 +Tolerance = 1.0000e-03 + +T Approx. Sol. True Sol. Est. Error Actual Error +3.33 1.80037 1.80033 8.03776e-05 2.38466e-05 +6.67 2.23916 2.23911 1.77740e-04 2.34772e-05 +10.00 2.54310 2.54304 2.45949e-04 2.24564e-05 +13.33 2.77587 2.77581 3.05737e-04 2.17430e-05 +16.67 2.96456 2.96450 3.61698e-04 2.13821e-05 +20.00 3.12324 3.12317 4.17127e-04 2.13102e-05 diff --git a/simple_examples/baseresults/d05beje.r b/simple_examples/baseresults/d05beje.r new file mode 100644 index 0000000..95731f4 --- /dev/null +++ b/simple_examples/baseresults/d05beje.r @@ -0,0 +1,46 @@ +D05BEJ Example Program Results + +Example 1 + +The stepsize h = 0.1000 + + T Approximate + Solution + + 0.5000 0.1191 + 1.0000 0.0528 + 1.5000 0.0265 + 2.0000 0.0146 + 2.5000 0.0086 + 3.0000 0.0052 + 3.5000 0.0033 + 4.0000 0.0022 + 4.5000 0.0014 + 5.0000 0.0010 + 5.5000 0.0007 + 6.0000 0.0004 + 6.5000 0.0003 + 7.0000 0.0002 + +The maximum absolute error, 2.86e-03, occured at T = 0.1000 with solution 0.0326 + + +Example 2 + +The stepsize h = 0.0714 + + T Approximate + Solution + + 0.5000 0.6667 + 1.0000 0.5000 + 1.5000 0.4000 + 2.0000 0.3333 + 2.5000 0.2857 + 3.0000 0.2500 + 3.5000 0.2222 + 4.0000 0.2000 + 4.5000 0.1818 + 5.0000 0.1667 + +The maximum absolute error, 3.17e-06, occured at T = 0.0714 with solution 0.9333 \ No newline at end of file diff --git a/simple_examples/baseresults/dtfsmje.r b/simple_examples/baseresults/dtfsmje.r new file mode 100644 index 0000000..761a9ed --- /dev/null +++ b/simple_examples/baseresults/dtfsmje.r @@ -0,0 +1,10 @@ + DTFSMJ Example Program Results + + The Solution + 1 2 3 4 + 1 13.5562 5.7677 9.7251 1.2209 + 2 -10.1040 -1.9787 -8.9252 -4.4205 + 3 -0.8280 0.2386 2.0348 2.0769 + 4 2.8488 -7.1745 -3.7925 -2.9505 + 5 -3.9321 0.8652 -1.4082 3.1217 + 6 -2.3127 1.8398 2.0152 1.5198 diff --git a/simple_examples/baseresults/e01daje.r b/simple_examples/baseresults/e01daje.r new file mode 100644 index 0000000..a9c2ddb --- /dev/null +++ b/simple_examples/baseresults/e01daje.r @@ -0,0 +1,25 @@ + E01DAJ Example Program Results + + I Knot LAMDA(I) J Knot MU(j) + 4 1.0000 4 0.0000 + 5 1.3000 5 0.4000 + 6 1.5000 6 0.7000 + 7 1.6000 7 1.0000 + 8 2.0000 + + The B-Spline coefficients: + 1.0000 1.1333 1.3667 1.7000 1.9000 2.0000 1.2000 1.3333 + 1.5667 1.9000 2.1000 2.2000 1.5833 1.7167 1.9500 2.2833 + 2.4833 2.5833 2.1433 2.2767 2.5100 2.8433 3.0433 3.1433 + 2.8667 3.0000 3.2333 3.5667 3.7667 3.8667 3.4667 3.6000 + 3.8333 4.1667 4.3667 4.4667 4.0000 4.1333 4.3667 4.7000 + 4.9000 5.0000 + + Spline evaluated on a regular mesh (X across, Y down): + 1.00 1.20 1.40 1.60 1.80 2.00 + 0.00 1.000 1.440 1.960 2.560 3.240 4.000 + 0.20 1.200 1.640 2.160 2.760 3.440 4.200 + 0.40 1.400 1.840 2.360 2.960 3.640 4.400 + 0.60 1.600 2.040 2.560 3.160 3.840 4.600 + 0.80 1.800 2.240 2.760 3.360 4.040 4.800 + 1.00 2.000 2.440 2.960 3.560 4.240 5.000 diff --git a/simple_examples/baseresults/e02alje.r b/simple_examples/baseresults/e02alje.r new file mode 100644 index 0000000..6dfc758 --- /dev/null +++ b/simple_examples/baseresults/e02alje.r @@ -0,0 +1,24 @@ +E02ALJ Example Program Results + + Polynomial coefficients + 1.0000e+00 + 1.0001e+00 + 4.9909e-01 + 1.7042e-01 + 3.4784e-02 + 1.3909e-02 + + Reference deviation = 1.09e-06 + + X Fit exp(x) Residual + 0.00 1.0000 1.0000 -1.09e-06 + 0.10 1.1052 1.1052 9.74e-07 + 0.20 1.2214 1.2214 -7.44e-07 + 0.30 1.3499 1.3499 -9.18e-07 + 0.40 1.4918 1.4918 2.99e-07 + 0.50 1.6487 1.6487 1.09e-06 + 0.60 1.8221 1.8221 4.59e-07 + 0.70 2.0138 2.0138 -8.16e-07 + 0.80 2.2255 2.2255 -8.42e-07 + 0.90 2.4596 2.4596 8.75e-07 + 1.00 2.7183 2.7183 -1.09e-06 diff --git a/simple_examples/baseresults/e04abje.r b/simple_examples/baseresults/e04abje.r new file mode 100644 index 0000000..18b685b --- /dev/null +++ b/simple_examples/baseresults/e04abje.r @@ -0,0 +1,6 @@ +E04ABJ Example Program Results + +The minimum lies in the interval 4.49340940 to 4.49340951 +Its estimated position is 4.49340945, +where the function value is -0.2172 +10 function evaluations were required diff --git a/simple_examples/baseresults/e04bbje.r b/simple_examples/baseresults/e04bbje.r new file mode 100644 index 0000000..86a41ba --- /dev/null +++ b/simple_examples/baseresults/e04bbje.r @@ -0,0 +1,7 @@ +E04BBJ Example Program Results + +The minimum lies in the interval 4.49340946 to 4.49340952 +Its estimated position is 4.49340946, +where the function value is -0.2172 +and the gradient is -3.8e-16 (machine dependent) +6 function evaluations were required diff --git a/simple_examples/baseresults/e04cbje.r b/simple_examples/baseresults/e04cbje.r new file mode 100644 index 0000000..67cd53d --- /dev/null +++ b/simple_examples/baseresults/e04cbje.r @@ -0,0 +1,4 @@ +E04CBJ Example Program Results + +The final function value is 0.0000 +at the point 0.5000 -0.9999 diff --git a/simple_examples/baseresults/e04fcje.r b/simple_examples/baseresults/e04fcje.r new file mode 100644 index 0000000..bd90f04 --- /dev/null +++ b/simple_examples/baseresults/e04fcje.r @@ -0,0 +1,22 @@ + E04FCJ Example Program Results + + On exit, the sum of squares is 0.0082 + at the point 0.0824 1.1330 2.3437 + The estimated gradient is -1.607e-09 -7.436e-11 6.130e-10 + (machine dependent) + and the residuals are + -5.9e-03 + -2.7e-04 + 2.7e-04 + 6.5e-03 + -8.2e-04 + -1.3e-03 + -4.5e-03 + -2.0e-02 + 8.2e-02 + -1.8e-02 + -1.5e-02 + -1.5e-02 + -1.1e-02 + -4.2e-03 + 6.8e-03 diff --git a/simple_examples/baseresults/e04ffje.r b/simple_examples/baseresults/e04ffje.r new file mode 100644 index 0000000..a772ab7 --- /dev/null +++ b/simple_examples/baseresults/e04ffje.r @@ -0,0 +1,73 @@ + E04FFJ Example Program Results + + --------------------------------------------------- + E04F(G|F)), Derivative free solver for data fitting + (nonlinear least-squares problems) + --------------------------------------------------- + + Problem statistics + Number of variables 4 + Number of unconstrained variables 2 + Number of fixed variables 0 + Starting interpolation points 5 + Total interpolation points 5 + Number of residuals 11 + + Begin of Options + Print File = 6 * d + Print Level = 2 * d + Print Options = Yes * d + Print Solution = All * U + Monitoring File = -1 * d + Monitoring Level = 4 * d + Dfo Print Frequency = 1 * d + Dfo Monitor Frequency = 0 * d + + Infinite Bound Size = 1.00000E+20 * d + Stats Time = No * d + Time Limit = 1.00000E+06 * d + + Dfo Initial Interp Points = Coordinate * d + Dfo Max Objective Calls = 500 * d + Dfo Max Soft Restarts = 5 * d + Dfo Max Unsucc Soft Restarts = 3 * d + Dfo Maximum Slow Steps = 20 * d + Dfo Noise Level = 0.00000E+00 * d + Dfo Noisy Problem = No * d + Dfo Number Initial Points = 0 * d + Dfo Number Interp Points = 0 * d + Dfo Number Soft Restarts Pts = 3 * d + Dfo Random Seed = -1 * d + Dfo Starting Trust Region = 1.00000E-01 * d + Dfo Trust Region Slow Tol = 1.02648E-04 * d + Dfo Trust Region Tolerance = 5.00000E-06 * U + Dfo Version = Latest * d + Dfls Small Residuals Tol = 1.08158E-12 * d + End of Options + ---------------------------------------- + step | obj rho | nf | + ---------------------------------------- + 1 | 1.72E-03 1.00E-01 | 6 | + 2 | 6.41E-04 1.00E-01 | 7 | + 3 | 4.52E-04 1.00E-01 | 8 | + 4 | 4.05E-04 1.00E-02 | 9 | + 5 | 4.04E-04 1.00E-02 | 10 | + 6 | 4.03E-04 1.00E-02 | 14 | + 7 | 4.02E-04 1.00E-02 | 15 | + 8 | 4.02E-04 1.00E-03 | 20 | + 9 | 4.02E-04 7.07E-05 | 21 | + 10 | 4.02E-04 7.07E-05 | 23 | s + ---------------------------------------- + Status: Converged, small trust region size + + Value of the objective 4.02423E-04 + Number of objective function evaluations 27 + Number of steps 10 + + + Primal variables: + idx Lower bound Value Upper bound + 1 -inf 1.81300E-01 inf + 2 2.00000E-01 5.90128E-01 1.00000E+00 + 3 -inf 2.56929E-01 inf + 4 3.00000E-01 3.00000E-01 inf diff --git a/simple_examples/baseresults/e04gbje.r b/simple_examples/baseresults/e04gbje.r new file mode 100644 index 0000000..6e9e25e --- /dev/null +++ b/simple_examples/baseresults/e04gbje.r @@ -0,0 +1,22 @@ + E04GBJ Example Program Results + + On exit, the sum of squares is 0.0082 + at the point 0.0824 1.1330 2.3437 + The corresponding gradient is 1.199E-09 -1.865E-11 1.807E-11 + (machine dependent) + and the residuals are + -5.9E-03 + -2.7E-04 + 2.7E-04 + 6.5E-03 + -8.2E-04 + -1.3E-03 + -4.5E-03 + -2.0E-02 + 8.2E-02 + -1.8E-02 + -1.5E-02 + -1.5E-02 + -1.1E-02 + -4.2E-03 + 6.8E-03 diff --git a/simple_examples/baseresults/e04ggje.r b/simple_examples/baseresults/e04ggje.r new file mode 100644 index 0000000..b5dd970 --- /dev/null +++ b/simple_examples/baseresults/e04ggje.r @@ -0,0 +1,44 @@ + E04GGJ Example Program Results + + E04GG, Nonlinear least squares method for bound-constrained problems + Begin of Options + Print File = 6 * d + Print Level = 1 * U + Print Options = Yes * d + Print Solution = No * d + Monitoring File = -1 * d + Monitoring Level = 4 * d + + Infinite Bound Size = 1.00000E+20 * d + Stats Time = No * d + Time Limit = 1.00000E+06 * d + + Bxnl Model = Gauss-newton * U + Bxnl Nlls Method = Galahad * d + Bxnl Glob Method = Reg * U + Bxnl Reg Order = Auto * d + Bxnl Tn Method = Min-1-var * d + Bxnl Basereg Type = None * d + Bxnl Basereg Pow = 2.00000E+00 * d + Bxnl Basereg Term = 1.00000E-02 * d + Bxnl Iteration Limit = 1000 * d + Bxnl Monitor Frequency = 0 * d + Bxnl Print Header = 30 * d + Bxnl Save Covariance Matrix = No * d + Bxnl Stop Abs Tol Fun = 1.05367E-08 * d + Bxnl Stop Abs Tol Grd = 1.05737E-05 * d + Bxnl Stop Rel Tol Fun = 1.05367E-08 * d + Bxnl Stop Rel Tol Grd = 1.05367E-08 * d + Bxnl Stop Step Tol = 2.22045E-16 * d + Bxnl Use Second Derivatives = Yes * U + Bxnl Use Weights = No * d + End of Options + + Status: converged, an optimal solution was found + Value of the objective 2.17328E-06 + Norm of projected gradient 1.51989E-08 + Norm of scaled projected gradient 7.29019E-06 + Norm of step 4.98107E-04 + +Solver stored solution iterate in the handle +X: 4.45E-01 1.87E+00 3.07E+00 4.64E+00 -9.98E-01 4.64E+00 diff --git a/simple_examples/baseresults/e04mtje.r b/simple_examples/baseresults/e04mtje.r new file mode 100644 index 0000000..033d40f --- /dev/null +++ b/simple_examples/baseresults/e04mtje.r @@ -0,0 +1,162 @@ + E04MTJ Example Program Results + +++++++++++ Use the Primal-Dual algorithm ++++++++++ + + ---------------------------------------------- + E04MT, Interior point method for LP problems + ---------------------------------------------- + + Original Problem Statistics + + Number of variables 7 + Number of constraints 7 + Free variables 0 + Number of nonzeros 41 + + + Presolved Problem Statistics + + Number of variables 13 + Number of constraints 7 + Free variables 0 + Number of nonzeros 47 + + + ------------------------------------------------------------------------------ + it| pobj | dobj | optim | feas | compl | mu | mcc | I + ------------------------------------------------------------------------------ + 0 -7.86591E-02 1.71637E-02 1.27E+00 1.06E+00 8.89E-02 1.5E-01 + 1 5.74135E-03 -2.24369E-02 6.11E-16 1.75E-01 2.25E-02 2.8E-02 0 + 2 1.96803E-02 1.37067E-02 5.06E-16 2.28E-02 2.91E-03 3.4E-03 0 + 3 2.15232E-02 1.96162E-02 7.00E-15 9.24E-03 1.44E-03 1.7E-03 0 + 4 2.30321E-02 2.28676E-02 1.15E-15 2.21E-03 2.97E-04 3.4E-04 0 + 5 2.35658E-02 2.35803E-02 1.32E-15 1.02E-04 8.41E-06 9.6E-06 0 + 6 2.35965E-02 2.35965E-02 1.64E-15 7.02E-08 6.35E-09 7.2E-09 0 +Iteration 7 + monit() reports good approximate solution (tol = 1.20E-08): + 7 2.35965E-02 2.35965E-02 1.35E-15 3.52E-11 3.18E-12 3.6E-12 0 + ------------------------------------------------------------------------------ + Status: converged, an optimal solution found + ------------------------------------------------------------------------------ + Final primal objective value 2.359648E-02 + Final dual objective value 2.359648E-02 + Absolute primal infeasibility 4.168797E-15 + Relative primal infeasibility 1.350467E-15 + Absolute dual infeasibility 5.084353E-11 + Relative dual infeasibility 3.518607E-11 + Absolute complementarity gap 2.685778E-11 + Relative complementarity gap 3.175366E-12 + Iterations 7 + + Primal variables: + idx Lower bound Value Upper bound + 1 -1.00000E-02 -1.00000E-02 1.00000E-02 + 2 -1.00000E-01 -1.00000E-01 1.50000E-01 + 3 -1.00000E-02 3.00000E-02 3.00000E-02 + 4 -4.00000E-02 2.00000E-02 2.00000E-02 + 5 -1.00000E-01 -6.74853E-02 5.00000E-02 + 6 -1.00000E-02 -2.28013E-03 inf + 7 -1.00000E-02 -2.34528E-04 inf + + Box bounds dual variables: + idx Lower bound Value Upper bound Value + 1 -1.00000E-02 3.30098E-01 1.00000E-02 0.00000E+00 + 2 -1.00000E-01 1.43844E-02 1.50000E-01 0.00000E+00 + 3 -1.00000E-02 0.00000E+00 3.00000E-02 9.09967E-02 + 4 -4.00000E-02 0.00000E+00 2.00000E-02 7.66124E-02 + 5 -1.00000E-01 3.51391E-11 5.00000E-02 0.00000E+00 + 6 -1.00000E-02 3.42902E-11 inf 0.00000E+00 + 7 -1.00000E-02 8.61040E-12 inf 0.00000E+00 + + Constraints dual variables: + idx Lower bound Value Upper bound Value + 1 -1.30000E-01 0.00000E+00 -1.30000E-01 1.43111E+00 + 2 -inf 0.00000E+00 -4.90000E-03 4.00339E-10 + 3 -inf 0.00000E+00 -6.40000E-03 1.54305E-08 + 4 -inf 0.00000E+00 -3.70000E-03 3.80136E-10 + 5 -inf 0.00000E+00 -1.20000E-03 4.72629E-11 + 6 -9.92000E-02 1.50098E+00 inf 0.00000E+00 + 7 -3.00000E-03 1.51661E+00 2.00000E-03 0.00000E+00 + +++++++++++ Use the Self-Dual algorithm ++++++++++ + + ---------------------------------------------- + E04MT, Interior point method for LP problems + ---------------------------------------------- + + Original Problem Statistics + + Number of variables 7 + Number of constraints 7 + Free variables 0 + Number of nonzeros 41 + + + Presolved Problem Statistics + + Number of variables 13 + Number of constraints 7 + Free variables 0 + Number of nonzeros 47 + + + ------------------------------------------------------------------------------ + it| pobj | dobj | p.inf | d.inf | d.gap | tau | mcc | I + ------------------------------------------------------------------------------ + 0 -6.39941E-01 4.94000E-02 1.07E+01 2.69E+00 5.54E+00 1.0E+00 + 1 -8.56025E-02 -1.26938E-02 2.07E-01 2.07E-01 2.07E-01 1.7E+00 0 + 2 4.09196E-03 1.24373E-02 4.00E-02 4.00E-02 4.00E-02 2.8E+00 0 + 3 1.92404E-02 2.03658E-02 6.64E-03 6.64E-03 6.64E-03 3.2E+00 1 + 4 1.99631E-02 2.07574E-02 3.23E-03 3.23E-03 3.23E-03 2.3E+00 1 + 5 2.03834E-02 2.11141E-02 1.68E-03 1.68E-03 1.68E-03 1.4E+00 0 + 6 2.22419E-02 2.25057E-02 5.73E-04 5.73E-04 5.73E-04 1.4E+00 1 + 7 2.35051E-02 2.35294E-02 6.58E-05 6.58E-05 6.58E-05 1.4E+00 6 + 8 2.35936E-02 2.35941E-02 1.19E-06 1.19E-06 1.19E-06 1.4E+00 0 +Iteration 9 + monit() reports good approximate solution (tol = 1.20E-08): + 9 2.35965E-02 2.35965E-02 5.37E-10 5.37E-10 5.37E-10 1.4E+00 0 +Iteration 10 + monit() reports good approximate solution (tol = 1.20E-08): + 10 2.35965E-02 2.35965E-02 2.68E-13 2.68E-13 2.68E-13 1.4E+00 0 + ------------------------------------------------------------------------------ + Status: converged, an optimal solution found + ------------------------------------------------------------------------------ + Final primal objective value 2.359648E-02 + Final dual objective value 2.359648E-02 + Absolute primal infeasibility 2.853383E-12 + Relative primal infeasibility 2.677658E-13 + Absolute dual infeasibility 1.485749E-12 + Relative dual infeasibility 2.679654E-13 + Absolute complementarity gap 7.228861E-13 + Relative complementarity gap 2.683908E-13 + Iterations 10 + + Primal variables: + idx Lower bound Value Upper bound + 1 -1.00000E-02 -1.00000E-02 1.00000E-02 + 2 -1.00000E-01 -1.00000E-01 1.50000E-01 + 3 -1.00000E-02 3.00000E-02 3.00000E-02 + 4 -4.00000E-02 2.00000E-02 2.00000E-02 + 5 -1.00000E-01 -6.74853E-02 5.00000E-02 + 6 -1.00000E-02 -2.28013E-03 inf + 7 -1.00000E-02 -2.34528E-04 inf + + Box bounds dual variables: + idx Lower bound Value Upper bound Value + 1 -1.00000E-02 3.30098E-01 1.00000E-02 0.00000E+00 + 2 -1.00000E-01 1.43844E-02 1.50000E-01 0.00000E+00 + 3 -1.00000E-02 0.00000E+00 3.00000E-02 9.09967E-02 + 4 -4.00000E-02 0.00000E+00 2.00000E-02 7.66124E-02 + 5 -1.00000E-01 3.66960E-12 5.00000E-02 0.00000E+00 + 6 -1.00000E-02 2.47652E-11 inf 0.00000E+00 + 7 -1.00000E-02 7.82645E-13 inf 0.00000E+00 + + Constraints dual variables: + idx Lower bound Value Upper bound Value + 1 -1.30000E-01 0.00000E+00 -1.30000E-01 1.43111E+00 + 2 -inf 0.00000E+00 -4.90000E-03 1.07904E-10 + 3 -inf 0.00000E+00 -6.40000E-03 1.14799E-09 + 4 -inf 0.00000E+00 -3.70000E-03 4.09190E-12 + 5 -inf 0.00000E+00 -1.20000E-03 1.52421E-12 + 6 -9.92000E-02 1.50098E+00 inf 0.00000E+00 + 7 -3.00000E-03 1.51661E+00 2.00000E-03 0.00000E+00 diff --git a/simple_examples/baseresults/e04mxje.r b/simple_examples/baseresults/e04mxje.r new file mode 100644 index 0000000..1928db4 --- /dev/null +++ b/simple_examples/baseresults/e04mxje.r @@ -0,0 +1,38 @@ + E04MXJ Example Program Results + + MPSX INPUT LISTING + ------------------ + Searching for indicator line + Line 1: Found NAME indicator line + Query mode - Ignoring NAME data. + Line 2: Found ROWS indicator line + Query mode - Counting ROWS data. + Line 7: Found COLUMNS indicator line + Query mode - Counting COLUMNS data. + Line 26: Found RHS indicator line + Query mode - Ignoring RHS data. + Line 31: Found RANGES indicator line + Query mode - Ignoring RANGES data. + Line 35: Found BOUNDS indicator line + Query mode - Counting BOUNDS data. + Line 54: Found QUADOBJ indicator line + Query mode - Counting QUADOBJ data. + Query mode - End of QUADOBJ data. Exit + + MPSX INPUT LISTING + ------------------ + Searching for indicator line + Line 1: Found NAME indicator line + Line 2: Found ROWS indicator line + Line 7: Found COLUMNS indicator line + Line 26: Found RHS indicator line + Line 31: Found RANGES indicator line + Line 35: Found BOUNDS indicator line + Line 54: Found QUADOBJ indicator line + Line 64: Found ENDATA indicator line + + Problem contains 9 variables and 4 linear constraints + + Final objective value = -8.068E+00 + Optimal X = + 2.00 -0.23 -0.27 -0.30 -0.10 2.00 2.00 -1.78 -0.46 diff --git a/simple_examples/baseresults/e04ncje.r b/simple_examples/baseresults/e04ncje.r new file mode 100644 index 0000000..65a6326 --- /dev/null +++ b/simple_examples/baseresults/e04ncje.r @@ -0,0 +1,23 @@ + E04NCJ Example Program Results + + Varbl Istate Value Lagr Mult + + V 1 1 0.000E+00 1.572E-01 + V 2 0 4.153E-02 0.000E+00 + V 3 0 5.872E-01 0.000E+00 + V 4 1 0.000E+00 8.782E-01 + V 5 0 9.964E-02 0.000E+00 + V 6 1 0.000E+00 1.473E-01 + V 7 0 4.906E-02 0.000E+00 + V 8 1 0.000E+00 8.603E-01 + V 9 0 3.056E-01 0.000E+00 + + + L Con Istate Value Lagr Mult + + L 1 1 2.000E+00 3.777E-01 + L 2 2 2.000E+00 -5.791E-02 + L 3 1 1.000E+00 1.075E-01 + + + Final objective value = 8.134E-02 diff --git a/simple_examples/baseresults/e04nfje.r b/simple_examples/baseresults/e04nfje.r new file mode 100644 index 0000000..13101d2 --- /dev/null +++ b/simple_examples/baseresults/e04nfje.r @@ -0,0 +1,66 @@ + E04NFJ Example Program Results + + *** e04nf + + Parameters + ---------- + + Problem type........... QP2 + + Linear constraints..... 7 Feasibility tolerance.. 1.05E-08 + Variables.............. 7 Optimality tolerance... 1.05E-08 + Hessian rows........... 7 Rank tolerance......... 1.11E-14 + + Infinite bound size.... 1.00E+20 COLD start............. + Infinite step size..... 1.00E+20 EPS (machine precision) 1.11E-16 + + Check frequency........ 50 Expand frequency....... 5 + Minimum sum of infeas.. NO Crash tolerance........ 1.00E-02 + + Max degrees of freedom. 7 Print level............ 10 + Feasibility phase itns. 70 Monitoring file........ -1 + Optimality phase itns. 70 + + Workspace provided is IWORK( 17), WORK( 189). + To solve problem we need IWORK( 17), WORK( 189). + + + Itn Step Ninf Sinf/Objective Norm Gz + 0 0.0E+00 3 1.038000E-01 0.0E+00 + 1 4.1E-02 1 3.000000E-02 0.0E+00 + 2 4.2E-02 0 0.000000E+00 0.0E+00 + Itn 2 -- Feasible point found. + 2 0.0E+00 0 4.580000E-02 0.0E+00 + 3 1.3E-01 0 4.161596E-02 0.0E+00 + 4 1.0E+00 0 3.936227E-02 4.2E-17 + 5 4.1E-01 0 3.758935E-02 1.2E-02 + 6 1.0E+00 0 3.755377E-02 1.0E-17 + 7 1.0E+00 0 3.703165E-02 3.8E-17 + + + Varbl State Value Lower Bound Upper Bound Lagr Mult Slack + + V 1 LL -1.000000E-02 -1.000000E-02 1.000000E-02 0.4700 . + V 2 FR -6.986465E-02 -0.100000 0.150000 . 3.0135E-02 + V 3 FR 1.825915E-02 -1.000000E-02 3.000000E-02 . 1.1741E-02 + V 4 FR -2.426081E-02 -4.000000E-02 2.000000E-02 . 1.5739E-02 + V 5 FR -6.200564E-02 -0.100000 5.000000E-02 . 3.7994E-02 + V 6 FR 1.380544E-02 -1.000000E-02 None . 2.3805E-02 + V 7 FR 4.066496E-03 -1.000000E-02 None . 1.4066E-02 + + + L Con State Value Lower Bound Upper Bound Lagr Mult Slack + + L 1 EQ -0.130000 -0.130000 -0.130000 -1.908 -5.5511E-17 + L 2 FR -5.879898E-03 None -4.900000E-03 . 9.7990E-04 + L 3 UL -6.400000E-03 None -6.400000E-03 -0.3144 8.6736E-19 + L 4 FR -4.537323E-03 None -3.700000E-03 . 8.3732E-04 + L 5 FR -2.915996E-03 None -1.200000E-03 . 1.7160E-03 + L 6 LL -9.920000E-02 -9.920000E-02 None 1.955 . + L 7 LL -3.000000E-03 -3.000000E-03 2.000000E-03 1.972 4.3368E-18 + + Exit e04nf - Optimal QP solution. + + Final QP objective value = 0.3703165E-01 + + Exit from QP problem after 7 iterations. diff --git a/simple_examples/baseresults/e04nkje.r b/simple_examples/baseresults/e04nkje.r new file mode 100644 index 0000000..bbfdea9 --- /dev/null +++ b/simple_examples/baseresults/e04nkje.r @@ -0,0 +1,26 @@ +E04NKJ Example Program Results + + Variable Istate Value Lagr Mult + + ...X1... 0 0.00000 2361 + ...X2... 3 349.399 -3.657e-12 + ...X3... 2 648.853 -5.924e-12 + ...X4... 2 172.847 1.949e-12 + ...X5... 3 407.521 0.000 + ...X6... 3 271.356 -3.280e-12 + ...X7... 3 150.023 -1.413e-12 + + + Constrnt Istate Value Lagr Mult + + ..ROW1.. 0 2000.00 -1.290e+04 + ..ROW2.. 3 49.2316 0.000 + ..ROW3.. 1 100.000 -2325 + ..ROW4.. 3 32.0719 0.000 + ..ROW5.. 3 14.5572 0.000 + ..ROW6.. 0 1500.00 1.445e+04 + ..ROW7.. 0 250.000 1.458e+04 + ..COST.. 3 -2.98869e+06 -1.000 + + +Final objetive value = -1847785 diff --git a/simple_examples/baseresults/e04nqje.r b/simple_examples/baseresults/e04nqje.r new file mode 100644 index 0000000..8515ce8 --- /dev/null +++ b/simple_examples/baseresults/e04nqje.r @@ -0,0 +1,6 @@ + E04NQJ Example Program Results + + QP problem contains 7 variables and 8 linear constraints + + Final objective value = -1.848E+06 + Optimal X = 0.00 349.40 648.85 172.85 407.52 271.36 150.02 diff --git a/simple_examples/baseresults/e04ptje.r b/simple_examples/baseresults/e04ptje.r new file mode 100644 index 0000000..24d78ba --- /dev/null +++ b/simple_examples/baseresults/e04ptje.r @@ -0,0 +1,39 @@ +E04PTJ Example Program Results + + + ------------------------------------------------ + E04PT, Interior point method for SOCP problems + ------------------------------------------------ + + Begin of Options + Print File = 6 * d + Print Level = 1 * U + Print Options = Yes * d + Print Solution = No * d + Monitoring File = -1 * d + Monitoring Level = 4 * d + Socp Monitor Frequency = 1 * U + + Infinite Bound Size = 1.00000E+20 * d + Task = Minimize * d + Stats Time = No * d + Time Limit = 1.00000E+06 * d + + Socp Iteration Limit = 100 * d + Socp Max Iterative Refinement = 9 * d + Socp Presolve = Yes * d + Socp Scaling = None * d + Socp Stop Tolerance = 1.05367E-08 * d + Socp Stop Tolerance 2 = 1.05367E-08 * d + Socp System Formulation = Auto * d + End of Options + +monit() reports good approximate solution (tol = 1.00E-07) + Status: converged, an optimal solution found + Final primal objective value 2.571350E+00 + Final dual objective value 2.571350E+00 + Optimal X: + x_idx Value + 1 1.174E+00 + 2 -4.257E+00 + 3 9.814E-01 diff --git a/simple_examples/baseresults/e04rpje.r b/simple_examples/baseresults/e04rpje.r new file mode 100644 index 0000000..93e29fb --- /dev/null +++ b/simple_examples/baseresults/e04rpje.r @@ -0,0 +1,105 @@ +E04RPJ Example Program Results + +Passing SDP problem to solver + + Overview + Status: Problem and option settings are editable. + No of variables: 5 + Objective function: linear + Simple bounds: not defined yet + Linear constraints: not defined yet + Nonlinear constraints: not defined yet + Cone constraints: not defined yet + Matrix constraints: 2 + Matrix constraints + IDblk = 1, size = 2 x 2, polynomial of order 2 + IDblk = 2, size = 2 x 2, linear + E04SV, NLP-SDP Solver (Pennon) + ------------------------------ + Number of variables 5 [eliminated 0] + simple linear nonlin + (Standard) inequalities 0 0 0 + (Standard) equalities 0 0 + Matrix inequalities 1 1 [dense 2, sparse 0] + [max dimension 2] + + Begin of Options + Print File = 6 * d + Print Level = 2 * d + Print Options = Yes * d + Monitoring File = -1 * d + Monitoring Level = 4 * d + Monitor Frequency = 0 * d + + Infinite Bound Size = 1.00000E+20 * d + Task = Minimize * d + Stats Time = No * d + + Dimacs Measures = No * S + Hessian Density = Dense * S + Init Value P = 1.00000E+00 * d + Init Value Pmat = 1.00000E+00 * d + Initial P = Automatic * d + Initial U = Automatic * d + Initial X = User * d + Inner Iteration Limit = 100 * d + Inner Stop Criteria = Heuristic * d + Inner Stop Tolerance = 1.00000E-02 * d + Linesearch Mode = Goldstein * S + Outer Iteration Limit = 100 * d + P Min = 1.05367E-08 * d + P Update Speed = 12 * d + Pmat Min = 1.05367E-08 * d + Preference = Speed * d + Presolve Block Detect = Yes * d + Stop Criteria = Soft * d + Stop Tolerance 1 = 1.00000E-06 * d + Stop Tolerance 2 = 1.00000E-07 * d + Stop Tolerance Feasibility = 1.00000E-07 * d + Transform Constraints = No * S + U Update Restriction = 5.00000E-01 * d + Umat Update Restriction = 3.00000E-01 * d + End of Options + -------------------------------------------------------------- + it| objective | optim | feas | compl | pen min |inner + -------------------------------------------------------------- + 0 0.00000E+00 1.82E+01 1.00E+00 4.00E+00 2.00E+00 0 + 1 4.11823E+00 3.85E-03 0.00E+00 1.73E+00 2.00E+00 6 + 2 2.58252E+00 5.36E-03 0.00E+00 4.93E-01 9.04E-01 4 + 3 2.06132E+00 1.02E-03 0.00E+00 7.70E-02 4.08E-01 4 + 4 2.00050E+00 3.00E-03 8.91E-03 1.78E-02 1.85E-01 3 + 5 1.99929E+00 1.55E-03 3.16E-03 3.65E-03 8.34E-02 2 + 6 1.99985E+00 1.03E-04 3.16E-04 7.19E-04 3.77E-02 4 + 7 1.99997E+00 7.04E-04 5.76E-05 1.41E-04 1.70E-02 1 + 8 2.00000E+00 1.32E-04 6.52E-06 2.76E-05 7.70E-03 1 + 9 2.00000E+00 8.49E-06 7.86E-07 5.37E-06 3.48E-03 1 + 10 2.00000E+00 5.88E-07 1.06E-07 1.04E-06 1.57E-03 1 + 11 2.00000E+00 5.55E-08 4.87E-08 2.02E-07 7.11E-04 1 + 12 2.00000E+00 5.34E-09 5.37E-09 3.93E-08 3.21E-04 1 + 13 2.00000E+00 5.03E-10 5.45E-09 7.62E-09 1.45E-04 1 + 14 2.00000E+00 4.45E-11 5.55E-09 1.48E-09 6.56E-05 1 + -------------------------------------------------------------- + it| objective | optim | feas | compl | pen min |inner + -------------------------------------------------------------- + 15 2.00000E+00 4.36E-12 5.67E-09 2.87E-10 2.96E-05 1 + 16 2.00000E+00 1.61E-11 5.82E-09 5.57E-11 1.34E-05 1 + 17 2.00000E+00 3.13E-11 6.00E-09 1.08E-11 6.06E-06 1 + 18 2.00000E+00 8.65E-11 6.22E-09 2.10E-12 2.74E-06 1 + 19 2.00000E+00 1.31E-10 6.48E-09 4.07E-13 1.24E-06 1 + -------------------------------------------------------------- + Status: converged, an optimal solution found + -------------------------------------------------------------- + Final objective value 2.000000E+00 + Relative precision 8.141636E-16 + Optimality 1.310533E-10 + Feasibility 6.484489E-09 + Complementarity 4.066867E-13 + Iteration counts + Outer iterations 19 + Inner iterations 36 + Linesearch steps 56 + Evaluation counts + Augm. Lagr. values 76 + Augm. Lagr. gradient 56 + Augm. Lagr. hessian 36 + -------------------------------------------------------------- \ No newline at end of file diff --git a/simple_examples/baseresults/e04rsje.r b/simple_examples/baseresults/e04rsje.r new file mode 100644 index 0000000..170a9e9 --- /dev/null +++ b/simple_examples/baseresults/e04rsje.r @@ -0,0 +1,35 @@ + E04RSJ Example Program Results + E04PT, Interior point method for SOCP problems + Begin of Options + Print File = 6 * d + Print Level = 1 * U + Print Options = Yes * d + Print Solution = No * d + Monitoring File = -1 * d + Monitoring Level = 4 * d + Socp Monitor Frequency = 1 * U + + Infinite Bound Size = 1.00000E+20 * d + Task = Minimize * d + Stats Time = No * d + Time Limit = 1.00000E+06 * d + + Socp Iteration Limit = 100 * d + Socp Max Iterative Refinement = 9 * d + Socp Presolve = Yes * d + Socp Scaling = None * d + Socp Stop Tolerance = 1.05367E-08 * d + Socp Stop Tolerance 2 = 1.05367E-08 * d + Socp System Formulation = Auto * d + End of Options + + + monit() reports good approximate solution (tol = 1.00e-07) + Status: converged, an optimal solution found + Final primal objective value 2.571350E+00 + Final dual objective value 2.571350E+00 + Optimal X: + x_idx Value + 0 1.174e+00 + 1 -4.257e+00 + 2 9.814e-01 diff --git a/simple_examples/baseresults/e04rtje.r b/simple_examples/baseresults/e04rtje.r new file mode 100644 index 0000000..65ffe25 --- /dev/null +++ b/simple_examples/baseresults/e04rtje.r @@ -0,0 +1,35 @@ + E04RTJ Example Program Results + E04PT, Interior point method for SOCP problems + Begin of Options + Print File = 6 * d + Print Level = 1 * U + Print Options = Yes * d + Print Solution = No * d + Monitoring File = -1 * d + Monitoring Level = 4 * d + Socp Monitor Frequency = 1 * U + + Infinite Bound Size = 1.00000E+20 * d + Task = Minimize * d + Stats Time = No * d + Time Limit = 1.00000E+06 * d + + Socp Iteration Limit = 100 * d + Socp Max Iterative Refinement = 9 * d + Socp Presolve = Yes * d + Socp Scaling = None * d + Socp Stop Tolerance = 1.05367E-08 * d + Socp Stop Tolerance 2 = 1.05367E-08 * d + Socp System Formulation = Auto * d + End of Options + + + monit() reports good approximate solution (tol = 1.00e-07) + Status: converged, an optimal solution found + Final primal objective value 1.313004E-01 + Final dual objective value 1.313004E-01 + Optimal X: + x_idx Value + 0 1.000e+00 + 1 -9.722e-01 + 2 9.722e-01 diff --git a/simple_examples/baseresults/e04saje.r b/simple_examples/baseresults/e04saje.r new file mode 100644 index 0000000..c10990a --- /dev/null +++ b/simple_examples/baseresults/e04saje.r @@ -0,0 +1,33 @@ + E04SAJ Example Program Results + E04PT, Interior point method for SOCP problems + Begin of Options + Print File = 6 * d + Print Level = 1 * U + Print Options = Yes * d + Print Solution = No * d + Monitoring File = -1 * d + Monitoring Level = 4 * d + Socp Monitor Frequency = 0 * d + + Infinite Bound Size = 1.00000E+20 * d + Task = Minimize * d + Stats Time = No * d + Time Limit = 1.00000E+06 * d + + Socp Iteration Limit = 100 * d + Socp Max Iterative Refinement = 9 * d + Socp Presolve = Yes * d + Socp Scaling = None * d + Socp Stop Tolerance = 1.05367E-08 * d + Socp Stop Tolerance 2 = 1.05367E-08 * d + Socp System Formulation = Auto * d + End of Options + + Status: converged, an optimal solution found + Final primal objective value -1.951817E+01 + Final dual objective value -1.951817E+01 + Optimal X: + x_idx Value + 0 -1.26819e+00 + 1 -4.08429e-01 + 2 1.33234e+00 diff --git a/simple_examples/baseresults/e04taje.r b/simple_examples/baseresults/e04taje.r new file mode 100644 index 0000000..a6cf135 --- /dev/null +++ b/simple_examples/baseresults/e04taje.r @@ -0,0 +1,39 @@ + E04TAJ Example Program Results + + Solve the first LP + + E04MT, Interior point method for LP problems + Status: converged, an optimal solution found + Final primal objective value 8.500000E+02 + Final dual objective value 8.500000E+02 + + Primal variables: + idx Lower bound Value Upper bound + 1 0.00000E+00 2.00000E+02 inf + 2 0.00000E+00 1.00000E+02 1.00000E+02 + + The new variable has been added, solve the handle again + + E04MT, Interior point method for LP problems + Status: converged, an optimal solution found + Final primal objective value 9.000000E+02 + Final dual objective value 9.000000E+02 + + Primal variables: + idx Lower bound Value Upper bound + 1 0.00000E+00 5.00000E+01 inf + 2 0.00000E+00 1.00000E+02 1.00000E+02 + 3 0.00000E+00 5.00000E+01 5.00000E+01 + + The new constraint has been added, solve the handle again + + E04MT, Interior point method for LP problems + Status: converged, an optimal solution found + Final primal objective value 8.750000E+02 + Final dual objective value 8.750000E+02 + + Primal variables: + idx Lower bound Value Upper bound + 1 0.00000E+00 1.50000E+02 inf + 2 0.00000E+00 5.00000E+01 1.00000E+02 + 3 0.00000E+00 5.00000E+01 5.00000E+01 diff --git a/simple_examples/baseresults/e04tcje.r b/simple_examples/baseresults/e04tcje.r new file mode 100644 index 0000000..cd501a1 --- /dev/null +++ b/simple_examples/baseresults/e04tcje.r @@ -0,0 +1,58 @@ + E04TCJ Example Program Results + + First solve the problem with the outliers + + -------------------------------------------------------- + E04GG, Nonlinear least squares method for bound-constrained problems + Status: converged, an optimal solution was found + Value of the objective 1.05037E+00 + Norm of gradient 8.78014E-06 + Norm of scaled gradient 6.05781E-06 + Norm of step 1.47886E-01 + + Primal variables: + idx Lower bound Value Upper bound + 1 -inf 3.61301E-01 inf + 2 -inf 9.10227E-01 inf + 3 -inf 3.42138E-03 inf + 4 -inf -6.08965E+00 inf + 5 -inf 6.24881E-04 inf + -------------------------------------------------------- + + Now remove the outlier residuals from the problem handle + + -------------------------------------------------------- + E04GG, Nonlinear least squares method for bound-constrained problems + Status: converged, an optimal solution was found + Value of the objective 5.96811E-02 + Norm of gradient 1.19914E-06 + Norm of scaled gradient 3.47087E-06 + Norm of step 3.49256E-06 + + Primal variables: + idx Lower bound Value Upper bound + 1 -inf 3.53888E-01 inf + 2 -inf 1.06575E+00 inf + 3 -inf 1.91383E-03 inf + 4 -inf 2.17299E-01 inf + 5 -inf 5.17660E+00 inf + -------------------------------------------------------- + + Assuming the outliers points are measured again + we can enable the residuals and adjust the values + + -------------------------------------------------------- + E04GG, Nonlinear least squares method for bound-constrained problems + Status: converged, an optimal solution was found + Value of the objective 6.51802E-02 + Norm of gradient 2.57338E-07 + Norm of scaled gradient 7.12740E-07 + Norm of step 1.56251E-05 + + Primal variables: + idx Lower bound Value Upper bound + 1 3.00000E-01 3.00000E-01 3.00000E-01 + 2 -inf 1.06039E+00 inf + 3 -inf 2.11765E-02 inf + 4 -inf 2.11749E-01 inf + 5 -inf 5.16415E+00 inf diff --git a/simple_examples/baseresults/e04uc_example.r b/simple_examples/baseresults/e04uc_example.r new file mode 100644 index 0000000..abde1c6 --- /dev/null +++ b/simple_examples/baseresults/e04uc_example.r @@ -0,0 +1,95 @@ + E04UC_Example Example Program Results + + *** e04uc + + Parameters + ---------- + + Linear constraints..... 1 Variables.............. 4 + Nonlinear constraints.. 2 + + Infinite bound size.... 1.00E+20 COLD start............. + Infinite step size..... 1.00E+20 EPS (machine precision) 1.11E-16 + Step limit............. 2.00E+00 Hessian................ NO + + Linear feasibility..... 1.05E-08 Crash tolerance........ 1.00E-02 + Nonlinear feasibility.. 1.05E-08 Optimality tolerance... 3.26E-12 + Line search tolerance.. 9.00E-01 Function precision..... 4.37E-15 + + Derivative level....... 3 Monitoring file........ -1 + Verify level........... 0 + + Major iterations limit. 50 Major print level...... 10 + Minor iterations limit. 50 Minor print level...... 0 + + Start point + 1.000000E+00 5.000000E+00 5.000000E+00 1.000000E+00 + + Workspace provided is IWORK( 17), WORK( 185). + To solve problem we need IWORK( 17), WORK( 185). + + + Verification of the constraint gradients. + ----------------------------------------- + + The constraint Jacobian seems to be ok. + + The largest relative error was 2.29E-07 in constraint 2 + + + + Verification of the objective gradients. + ---------------------------------------- + + The objective gradients seem to be ok. + + Directional derivative of the objective 8.15250000E-01 + Difference approximation 8.15249734E-01 + + + Maj Mnr Step Merit Function Norm Gz Violtn Cond Hz + 0 4 0.0E+00 1.738281E+01 7.1E-01 1.2E+01 1.0E+00 + 1 1 1.0E+00 1.703169E+01 4.6E-02 1.9E+00 1.0E+00 + 2 1 1.0E+00 1.701442E+01 2.1E-02 8.8E-02 1.0E+00 + 3 1 1.0E+00 1.701402E+01 3.1E-04 5.4E-04 1.0E+00 + 4 1 1.0E+00 1.701402E+01 7.0E-06 9.9E-08 1.0E+00 + 5 1 1.0E+00 1.701402E+01 1.1E-08 4.6E-11 1.0E+00 + + Exit from NP problem after 5 major iterations, + 9 minor iterations. + + + Varbl State Value Lower Bound Upper Bound Lagr Mult Slack + + V 1 LL 1.00000 1.00000 5.00000 1.088 . + V 2 FR 4.74300 1.00000 5.00000 . 0.2570 + V 3 FR 3.82115 1.00000 5.00000 . 1.179 + V 4 FR 1.37941 1.00000 5.00000 . 0.3794 + + + L Con State Value Lower Bound Upper Bound Lagr Mult Slack + + L 1 FR 10.9436 None 20.0000 . 9.056 + + + N Con State Value Lower Bound Upper Bound Lagr Mult Slack + + N 1 UL 40.0000 None 40.0000 -0.1615 -3.5264E-11 + N 2 LL 25.0000 25.0000 None 0.5523 -2.8791E-11 + + Exit e04uc - Optimal solution found. + + Final objective value = 17.01402 + + Varbl Istate Value Lagr Mult + + V 0 1 1.000000 1.0879 + V 1 0 4.743000 0.0000 + V 2 0 3.821150 0.0000 + V 3 0 1.379408 0.0000 + + L Con Istate Value Lagr Mult + + L 0 0 10.943558 0.0000 + + Final objective value = 17.0140173 diff --git a/simple_examples/baseresults/e04ucje.r b/simple_examples/baseresults/e04ucje.r new file mode 100644 index 0000000..c024cfc --- /dev/null +++ b/simple_examples/baseresults/e04ucje.r @@ -0,0 +1,22 @@ + E04UCJ Example Program Results + + Varbl Istate Value Lagr Mult + + V 1 1 1.00000 1.088 + V 2 0 4.74300 0.000 + V 3 0 3.82115 0.000 + V 4 0 1.37941 0.000 + + + L Con Istate Value Lagr Mult + + L 1 0 10.9436 0.000 + + + N Con Istate Value Lagr Mult + + N 1 2 40.0000 -0.1615 + N 2 1 25.0000 0.5523 + + + Final objective value = 17.01402 diff --git a/simple_examples/baseresults/e04yaje.r b/simple_examples/baseresults/e04yaje.r new file mode 100644 index 0000000..463bd7f --- /dev/null +++ b/simple_examples/baseresults/e04yaje.r @@ -0,0 +1,25 @@ + E04YAJ Example Program Results + +The test point is + 0.19000 -1.34000 0.88000 + +1st derivatives are consistent with residual values + +At the test point, LSQFUN gives + + Residuals 1st derivatives + -2.029E-03 1.000E+00 -4.061E-02 -2.707E-03 + -1.076E-01 1.000E+00 -9.689E-02 -1.384E-02 + -2.330E-01 1.000E+00 -1.785E-01 -4.120E-02 + -3.785E-01 1.000E+00 -3.043E-01 -1.014E-01 + -5.836E-01 1.000E+00 -5.144E-01 -2.338E-01 + -8.689E-01 1.000E+00 -9.100E-01 -5.460E-01 + -1.346E+00 1.000E+00 -1.810E+00 -1.408E+00 + -2.374E+00 1.000E+00 -4.726E+00 -4.726E+00 + -2.975E+00 1.000E+00 -6.076E+00 -6.076E+00 + -4.013E+00 1.000E+00 -7.876E+00 -7.876E+00 + -5.323E+00 1.000E+00 -1.040E+01 -1.040E+01 + -7.292E+00 1.000E+00 -1.418E+01 -1.418E+01 + -1.057E+01 1.000E+00 -2.048E+01 -2.048E+01 + -1.713E+01 1.000E+00 -3.308E+01 -3.308E+01 + -3.681E+01 1.000E+00 -7.089E+01 -7.089E+01 diff --git a/simple_examples/baseresults/f01adje.r b/simple_examples/baseresults/f01adje.r new file mode 100644 index 0000000..c8570bc --- /dev/null +++ b/simple_examples/baseresults/f01adje.r @@ -0,0 +1,9 @@ + F01ADJ Example Program Results + + Lower triangle of inverse + 1 2 3 4 + 1 + 2 68.0000 + 3 -41.0000 25.0000 + 4 -17.0000 10.0000 5.0000 + 5 10.0000 -6.0000 -3.0000 2.0000 diff --git a/simple_examples/baseresults/f01ckje.r b/simple_examples/baseresults/f01ckje.r new file mode 100644 index 0000000..3264e43 --- /dev/null +++ b/simple_examples/baseresults/f01ckje.r @@ -0,0 +1,5 @@ + F01CKJ Example Program Results + + Matrix A + 5.0 8.0 + 8.0 14.0 diff --git a/simple_examples/baseresults/f01crje.r b/simple_examples/baseresults/f01crje.r new file mode 100644 index 0000000..0b33f3a --- /dev/null +++ b/simple_examples/baseresults/f01crje.r @@ -0,0 +1,6 @@ + F01CRJ Example Program Results + + 1.0 4.0 7.0 10.0 13.0 16.0 19.0 + 2.0 5.0 8.0 11.0 14.0 17.0 20.0 + 3.0 6.0 9.0 12.0 15.0 18.0 21.0 + diff --git a/simple_examples/baseresults/f01dgje.r b/simple_examples/baseresults/f01dgje.r new file mode 100644 index 0000000..85c8df1 --- /dev/null +++ b/simple_examples/baseresults/f01dgje.r @@ -0,0 +1,8 @@ +F01DGJ Example Program Results + + Solution matrix B + 1 2 3 4 + 1 2.1000 1.2600 2.4000 1.2600 + 2 3.2200 9.5480 6.5360 5.3320 + 3 9.3800 17.7240 20.7640 14.5920 + 4 2.6600 20.8600 11.6240 28.5400 diff --git a/simple_examples/baseresults/f01elje.r b/simple_examples/baseresults/f01elje.r new file mode 100644 index 0000000..06a7a20 --- /dev/null +++ b/simple_examples/baseresults/f01elje.r @@ -0,0 +1,10 @@ + F01ELJ Example Program Results + + F(A) = COS(2A) + 1 2 3 4 + 1 -0.1704 -1.1597 -0.1878 -0.7307 + 2 -0.3950 -0.4410 0.7606 0.0655 + 3 -0.0950 -0.0717 0.0619 -0.4351 + 4 -0.1034 0.6424 -1.3964 0.1042 + +Imnorm = 0.0 diff --git a/simple_examples/baseresults/f01emje.r b/simple_examples/baseresults/f01emje.r new file mode 100644 index 0000000..d805f3c --- /dev/null +++ b/simple_examples/baseresults/f01emje.r @@ -0,0 +1,10 @@ +F01EMJ Example Program Results + + F(A) = EXP(2A) + 1 2 3 4 + 1 -12.1880 0.0000 -3.4747 8.3697 + 2 -13.7274 54.5982 -23.9801 82.8593 + 3 -9.7900 0.0000 -25.4527 26.5294 + 4 -18.1597 0.0000 -34.8991 49.2404 + +Imnorm = 0.00 diff --git a/simple_examples/baseresults/f02ekje.r b/simple_examples/baseresults/f02ekje.r new file mode 100644 index 0000000..925d7cb --- /dev/null +++ b/simple_examples/baseresults/f02ekje.r @@ -0,0 +1,20 @@ + F02EKJ Example Program Results + +Iteration Limit= 500 + Arnoldi basis vectors used: 20 + The following Ritz values (mu) are related to the + true eigenvalues (lambda) by lambda = sigma + 1/mu + + Iteration number 1 + Ritz values converged so far ( 2) and their Ritz estimates: + 1 ( 5.69917E-01, 8.80810E-01) 1.30081E-20 + 2 ( 5.69917E-01, -8.80810E-01) 1.30081E-20 + Next (unconverged) Ritz value: + 3 ( 6.07774E-01, 0.00000E+00) + + The 5 Ritz values of closest to 5.50000E+00 are: + 1 ( 6.01781E+00 , -8.00277E-01 ) + 2 ( 6.01781E+00 , 8.00277E-01 ) + 3 ( 4.34309E+00 , -1.94557E+00 ) + 4 ( 4.34309E+00 , 1.94557E+00 ) + 5 ( 7.14535E+00 , 0.00000E+00 ) diff --git a/simple_examples/baseresults/f02fkje.r b/simple_examples/baseresults/f02fkje.r new file mode 100644 index 0000000..8217134 --- /dev/null +++ b/simple_examples/baseresults/f02fkje.r @@ -0,0 +1,14 @@ + F02FKJ Example Program Results + + Iteration Limit= 500 + + Ritz values and residuals + 1 2 + 1 1.9702E+01 5.6583E-13 + 2 4.9036E+01 7.2456E-13 + 3 4.9036E+01 7.0022E-13 + 4 7.8370E+01 8.8089E-13 + 5 9.7197E+01 8.7693E-13 + 6 9.7197E+01 8.7672E-13 + 7 1.2653E+02 6.8423E-13 + 8 1.2653E+02 9.8310E-13 diff --git a/simple_examples/baseresults/f02wgje.r b/simple_examples/baseresults/f02wgje.r new file mode 100644 index 0000000..b4e345c --- /dev/null +++ b/simple_examples/baseresults/f02wgje.r @@ -0,0 +1,7 @@ + F02WGJ Example Program Results + + Singular Value Residual + 0.00830 2.7E-19 + 0.01223 5.9E-18 + 0.02381 1.2E-17 + 0.11274 7.8E-17 diff --git a/simple_examples/baseresults/f03baje.r b/simple_examples/baseresults/f03baje.r new file mode 100644 index 0000000..c4c40d7 --- /dev/null +++ b/simple_examples/baseresults/f03baje.r @@ -0,0 +1,14 @@ +F03BAJ Example Program Results + + Array A after factorization + 1 2 3 + 1 33.0000 16.0000 72.0000 + 2 -0.7273 1.6364 -4.6364 + 3 -0.2424 -0.0741 0.1111 + +Pivots + 1 2 3 + +D = 0.37500 ID = 4 + +Value of determinant = 6.00000e+00 \ No newline at end of file diff --git a/simple_examples/baseresults/f04amje.r b/simple_examples/baseresults/f04amje.r new file mode 100644 index 0000000..86bd893 --- /dev/null +++ b/simple_examples/baseresults/f04amje.r @@ -0,0 +1,4 @@ +F04AMJ Example Program Results +Solution +1.3010 +0.7935 \ No newline at end of file diff --git a/simple_examples/baseresults/f04baje.r b/simple_examples/baseresults/f04baje.r new file mode 100644 index 0000000..eb52050 --- /dev/null +++ b/simple_examples/baseresults/f04baje.r @@ -0,0 +1,14 @@ +F04BAJ Example Program Results + + Solution + 1 2 + 1 1.0000 3.0000 + 2 -1.0000 2.0000 + 3 3.0000 4.0000 + 4 -5.0000 1.0000 + +Estimate of condition number +1.5e+02 + +Esttimate of error bound for computed solutions +1.7e-14 \ No newline at end of file diff --git a/simple_examples/baseresults/f05aaje.r b/simple_examples/baseresults/f05aaje.r new file mode 100644 index 0000000..74b6ae6 --- /dev/null +++ b/simple_examples/baseresults/f05aaje.r @@ -0,0 +1,11 @@ +F05AAJ Example Program Results + +N1 = 2 N2 = 4 + +CC = 0.5822 ICOL = 4 + +Final Vectors +-0.6325 0.3310 -0.5404 +0.3162 -0.2483 0.2119 +-0.6325 -0.0000 0.7735 +0.3162 0.9104 0.2543 \ No newline at end of file diff --git a/simple_examples/baseresults/f06clje.r b/simple_examples/baseresults/f06clje.r new file mode 100644 index 0000000..d167816 --- /dev/null +++ b/simple_examples/baseresults/f06clje.r @@ -0,0 +1,3 @@ + F06CLJ Example Program Results + + (1.0, 1.0)/(2.0, 2.0) = (0.5, 0.0) diff --git a/simple_examples/baseresults/f07aaje.r b/simple_examples/baseresults/f07aaje.r new file mode 100644 index 0000000..086448e --- /dev/null +++ b/simple_examples/baseresults/f07aaje.r @@ -0,0 +1,14 @@ + F07AAJ Example Program Results + + Solution + 1.0000 -1.0000 3.0000 -5.0000 + + Details of factorization + 1 2 3 4 + 1 5.2500 -2.9500 -0.9500 -3.8000 + 2 0.3429 3.8914 2.3757 0.4129 + 3 0.3010 -0.4631 -1.5139 0.2948 + 4 -0.2114 -0.3299 0.0047 0.1314 + + Pivot indices + 2 2 3 4 diff --git a/simple_examples/baseresults/f07abje.r b/simple_examples/baseresults/f07abje.r new file mode 100644 index 0000000..922ca67 --- /dev/null +++ b/simple_examples/baseresults/f07abje.r @@ -0,0 +1,23 @@ +F07ABJ Example Program Results + + Solution(s) + 1 2 + 1 1.0000 3.0000 + 2 -1.0000 2.0000 + 3 3.0000 4.0000 + 4 -5.0000 1.0000 + +Backward errors (machine-dependent) + 7.7e-17 5.8e-17 + +Estimated forward error bounds (machine-dependent) + 2.5e-14 3.4e-14 + +A has been row scaled as diag(R)*A + +Reciprocal condition number estimate of scaled matrix + 1.8e-02 + +Estimate of reciprocal pivot growth factor + 7.4e-01 + diff --git a/simple_examples/baseresults/f07adje.r b/simple_examples/baseresults/f07adje.r new file mode 100644 index 0000000..8aa1615 --- /dev/null +++ b/simple_examples/baseresults/f07adje.r @@ -0,0 +1,10 @@ +F07ADJ Example Program Results + + Details of factorization + 1 2 3 4 + 1 5.2500 -2.9500 -0.9500 -3.8000 + 2 0.3429 3.8914 2.3757 0.4129 + 3 0.3010 -0.4631 -1.5139 0.2948 + 4 -0.2114 -0.3299 0.0047 0.1314 +IPIV + 2 2 3 4 diff --git a/simple_examples/baseresults/f07aqje.r b/simple_examples/baseresults/f07aqje.r new file mode 100644 index 0000000..11cdfa0 --- /dev/null +++ b/simple_examples/baseresults/f07aqje.r @@ -0,0 +1,7 @@ + F07AQJ Example Program Results + + Solution + ( 1.0000, 1.0000) ( 2.0000,-3.0000) (-4.0000,-5.0000) ( 0.0000, 6.0000) + + Pivot indices + 3 2 3 4 diff --git a/simple_examples/baseresults/f07faje.r b/simple_examples/baseresults/f07faje.r new file mode 100644 index 0000000..381aa43 --- /dev/null +++ b/simple_examples/baseresults/f07faje.r @@ -0,0 +1,11 @@ + F07FAJ Example Program Results + + Solution + 1.0000 -1.0000 2.0000 -3.0000 + + Cholesky factor U + 1 2 3 4 + 1 2.0396 -1.5297 0.2746 -0.0490 + 2 1.6401 -0.2500 0.6737 + 3 0.7887 0.6617 + 4 0.5347 diff --git a/simple_examples/baseresults/f07fbje.r b/simple_examples/baseresults/f07fbje.r new file mode 100644 index 0000000..38b2bb5 --- /dev/null +++ b/simple_examples/baseresults/f07fbje.r @@ -0,0 +1,19 @@ + F07FBJ Example Program Results + + Solution(s) + 1 2 + 1 1.0000 4.0000 + 2 -1.0000 3.0000 + 3 2.0000 2.0000 + 4 -3.0000 1.0000 + + Backward errors (machine-dependent) + 6.7e-17 8.2e-17 + + Estimated forward error bounds (machine-dependent) + 2.3e-14 2.4e-14 + + Estimate of reciprocal condition number + 1.0e-02 + + A has not been equilibrated diff --git a/simple_examples/baseresults/f08btje.r b/simple_examples/baseresults/f08btje.r new file mode 100644 index 0000000..b663c71 --- /dev/null +++ b/simple_examples/baseresults/f08btje.r @@ -0,0 +1,16 @@ + F08BTJ Example Program Results + + Tolerance used to estimate the rank of A + 1.00E-02 + Estimated rank of A + 3 + Least squares solution(s) + + 1 2 + 1 ( 0.0000, 0.0000) ( 0.0000, 0.0000) + 2 ( 2.7020, 8.0911) (-2.2682,-2.9884) + 3 ( 2.8888, 2.5012) ( 0.9779, 1.3565) + 4 ( 2.7100, 0.4791) (-1.3734, 0.2212) + + Square root(s) of the residual sum(s) of squares + 2.51E-01 8.10E-02 diff --git a/simple_examples/baseresults/f08faje.r b/simple_examples/baseresults/f08faje.r new file mode 100644 index 0000000..31df0c1 --- /dev/null +++ b/simple_examples/baseresults/f08faje.r @@ -0,0 +1,16 @@ + F08FAJ Example Program Results + + Eigenvalues + -2.0531 -0.5146 -0.2943 12.8621 + Eigenvectors + 1 2 3 4 + 1 0.7003 -0.5144 -0.2767 0.4103 + 2 0.3592 0.4851 0.6634 0.4422 + 3 -0.1569 0.5420 -0.6504 0.5085 + 4 -0.5965 -0.4543 0.2457 0.6144 + + Error estimate for the eigenvalues + 1.4e-15 + + Error estimates for the eigenvectors + 9.3e-16 6.5e-15 6.5e-15 1.1e-16 diff --git a/simple_examples/baseresults/f08xpje.r b/simple_examples/baseresults/f08xpje.r new file mode 100644 index 0000000..96e35e9 --- /dev/null +++ b/simple_examples/baseresults/f08xpje.r @@ -0,0 +1,8 @@ +F08XPJ Example Program Results + +Number of eigenvalues for which SELCTG is true = 2 +(dimension of deflating subspaces) + +Selected generalized eigenvalues + 1 (2.00, -5.00) + 2 (3.00, -1.00) diff --git a/simple_examples/baseresults/g01alje.r b/simple_examples/baseresults/g01alje.r new file mode 100644 index 0000000..3473f35 --- /dev/null +++ b/simple_examples/baseresults/g01alje.r @@ -0,0 +1,7 @@ +G01ALJ Example Program Results + +Maximum 12.0000 +Upper Hinge (75% quantile) 9.5000 +Median (50% quantile) 6.5000 +Lower Hinge (25% quantile) 2.5000 +Minimum 1.0000 diff --git a/simple_examples/baseresults/g02akje.r b/simple_examples/baseresults/g02akje.r new file mode 100644 index 0000000..a4260ce --- /dev/null +++ b/simple_examples/baseresults/g02akje.r @@ -0,0 +1,14 @@ +G02AKJ Example Program Results + + NCM with rank constraint + 1 2 3 4 + 1 1.0000 -0.9021 0.2448 0.1975 + 2 -0.9021 1.0000 -0.6392 0.2448 + 3 0.2448 -0.6392 1.0000 -0.9021 + 4 0.1975 0.2448 -0.9021 1.0000 + +Number of subproblems solved: 4 + +Squared Frobenius norm of difference: 0.3082 + +Rank error: 0.0000 diff --git a/simple_examples/baseresults/g02bjje.r b/simple_examples/baseresults/g02bjje.r new file mode 100644 index 0000000..053b912 --- /dev/null +++ b/simple_examples/baseresults/g02bjje.r @@ -0,0 +1,38 @@ + G02BJJ Example Program Results + + Number of variables (columns) = 4 + Number of cases (rows) = 5 + + Data matrix is:- + 1 2 3 4 + 1 3.0000 3.0000 1.0000 2.0000 + 2 6.0000 4.0000 -1.0000 4.0000 + 3 9.0000 0.0000 5.0000 9.0000 + 4 12.0000 2.0000 0.0000 0.0000 + 5 -1.0000 5.0000 4.0000 12.0000 + + Variable Mean St.dev. + 4 6.7500 4.5735 + 1 7.5000 3.8730 + 2 3.5000 1.2910 + + Sums of squares and cross-products of deviations + 4 1 2 + 4 62.7500 21.0000 10.0000 + 1 21.0000 45.0000 -6.0000 + 2 10.0000 -6.0000 5.0000 + + Correlation coefficients + 4 1 2 + 4 1.0000 0.9707 0.9449 + 1 0.9707 1.0000 -0.6547 + 2 0.9449 -0.6547 1.0000 + + Minimum number of cases used for any pair of variables: 3 + + Numbers used for each pair are: + 4 1 2 + 4 4.0000 3.0000 3.0000 + 1 3.0000 4.0000 3.0000 + 2 3.0000 3.0000 4.0000 + diff --git a/simple_examples/baseresults/g02brje.r b/simple_examples/baseresults/g02brje.r new file mode 100644 index 0000000..7621bb4 --- /dev/null +++ b/simple_examples/baseresults/g02brje.r @@ -0,0 +1,29 @@ +G02BRJ Example Program Results + +Number of variables (columns) = 3 +Number of case (rows) = 9 + +Data matrix is:- + + + 1 2 3 + 1 1.7000 1.0000 0.5000 + 2 2.8000 4.0000 3.0000 + 3 0.6000 6.0000 2.5000 + 4 1.8000 9.0000 6.0000 + 5 0.9900 4.0000 2.5000 + 6 1.4000 2.0000 5.5000 + 7 1.8000 9.0000 7.5000 + 8 2.5000 7.0000 0.0000 + 9 0.9900 5.0000 3.0000 + +Matrix of rank correlation coefficients: +Upper triangle -- Spearman's +Lower triangle -- Kendall's tau + + 1 2 3 + 1 1.0000 0.2941 0.4058 + 2 0.1429 1.0000 0.7537 + 3 0.2760 0.5521 1.0000 + +Number of cases actually used: 6 diff --git a/simple_examples/baseresults/g02daje.r b/simple_examples/baseresults/g02daje.r new file mode 100644 index 0000000..9c6e2f0 --- /dev/null +++ b/simple_examples/baseresults/g02daje.r @@ -0,0 +1,31 @@ +G02DAJ Example Program Results + +Model not of full rank, rank = 4 +Residual sum of squares = 2.2227e+01 +Degrees of freedom = 8 +R-squared = 7.0042e-01 +Adjusted R-squared = 5.8808e-01 +AIC = 1.5397e+01 + +Variable Parameter estimate Standard error + + 1 3.0557e+01 3.8494e-01 + 2 5.4467e+00 8.3896e-01 + 3 6.7433e+00 8.3896e-01 + 4 1.1047e+01 8.3896e-01 + 5 7.3200e+00 8.3896e-01 + + Obs Residuals H + + 1 -2.3733e+00 3.3333e-01 + 2 1.7433e+00 3.3333e-01 + 3 8.8000e-01 3.3333e-01 + 4 -1.4333e-01 3.3333e-01 + 5 1.4333e-01 3.3333e-01 + 6 -1.4700e+00 3.3333e-01 + 7 -1.8867e+00 3.3333e-01 + 8 5.7667e-01 3.3333e-01 + 9 1.3167e+00 3.3333e-01 + 10 1.7967e+00 3.3333e-01 + 11 -1.1733e+00 3.3333e-01 + 12 5.9000e-01 3.3333e-01 diff --git a/simple_examples/baseresults/g02eeje.r b/simple_examples/baseresults/g02eeje.r new file mode 100644 index 0000000..c66f9b6 --- /dev/null +++ b/simple_examples/baseresults/g02eeje.r @@ -0,0 +1,20 @@ + G02EEJ Example Program Results + + Step 1 + Added variable is TS + Change in residual sum of squares = 4.7126E-01 + F Statistic = 7.38 + + Variables in model: COD TS + + Residual sum of squares = 1.0850E+00 + Degrees of freedom = 17 + + Free variables: TKN BOD TVS + Change in residual sums of squares for free variables: + 0.1175 0.0600 0.2276 + Step 2 + No further variables added maximum F = 1.59 + Free variables: TKN BOD TVS + Change in residual sums of squares for free variables: + 0.0979 0.0207 0.0217 diff --git a/simple_examples/baseresults/g02maje.r b/simple_examples/baseresults/g02maje.r new file mode 100644 index 0000000..dd042fa --- /dev/null +++ b/simple_examples/baseresults/g02maje.r @@ -0,0 +1,23 @@ +G02MAJ Example Program Results + + Step Parameter Estimate +------------------------------------------------------ + 1 0.000 0.000 3.125 0.000 0.000 0.000 + 2 0.000 0.000 3.792 0.000 0.000 -0.713 + 3 -0.446 0.000 3.998 0.000 0.000 -1.151 + 4 -0.628 -0.295 4.098 0.000 0.000 -1.466 + 5 -1.060 -1.056 4.110 -0.864 0.000 -1.948 + 6 -1.073 -1.132 4.118 -0.935 -0.059 -1.981 + +alpha: -50.037 + + Step Sum RSS df Cp Ck Step Size +--------------------------------------------------------- + 1 72.446 8929.855 3 13.355 123.227 72.446 + 2 103.385 6404.701 7 7.054 50.781 24.841 + 3 126.243 5258.247 51 5.286 30.836 16.225 + 4 145.277 4657.051 25 5.309 19.319 11.587 + 5 198.223 3959.401 126 5.016 12.266 24.520 + 6 203.529 3954.571 5258 7.000 0.910 2.198 + +sigma^2: 304.198 diff --git a/simple_examples/baseresults/g03gaje.r b/simple_examples/baseresults/g03gaje.r new file mode 100644 index 0000000..37ab236 --- /dev/null +++ b/simple_examples/baseresults/g03gaje.r @@ -0,0 +1,79 @@ + G03GAJ Example Program Results + + + Mixing proportions + 1 2 + 1 0.4798 0.5202 + + Group means + 1 2 + 1 4.0041 3.3350 + 2 3.9949 3.4434 + 3 5.5894 4.9870 + 4 5.4432 5.3602 + + Pooled Variance-covariance matrix + 1 2 3 4 + 1 0.4539 0.2891 0.6075 0.3413 + 2 0.2891 0.2048 0.4101 0.2490 + 3 0.6075 0.4101 1.0648 0.6011 + 4 0.3413 0.2490 0.6011 0.3759 + + Densities + 1 2 + 1 2.5836E-01 1.1853E-02 + 2 3.7065E-07 1.1241E-01 + 3 5.3069E-03 1.8080E-06 + 4 4.2461E-01 2.8584E-05 + 5 5.0387E-02 1.1544E+00 + 6 1.1260E+00 7.2224E-02 + 7 2.0911E+00 2.1224E-02 + 8 5.7856E-03 1.3227E+00 + 9 1.1609E+00 2.9411E-02 + 10 8.9826E-02 2.4260E-05 + 11 3.0170E-01 1.0106E+00 + 12 1.2930E+00 3.5422E-01 + 13 2.8644E-02 6.7851E-07 + 14 2.0759E-02 3.1690E+00 + 15 7.6461E-02 1.5231E+00 + 16 3.0279E-04 8.4017E-01 + 17 5.6101E-01 4.6699E-05 + 18 2.6573E-05 6.4442E-01 + 19 2.1250E+00 5.1006E-02 + 20 8.6822E-04 2.7626E+00 + 21 1.9223E-01 2.3971E+00 + 22 1.2469E-02 2.8179E+00 + 23 1.8389E-02 5.3572E-01 + 24 1.2409E+00 9.6489E-03 + 25 2.1037E-05 4.8674E-02 + + Membership probabilities + 1 2 + 1 9.5018E-01 4.9823E-02 + 2 3.3259E-06 1.0000E+00 + 3 9.9961E-01 3.8664E-04 + 4 9.9992E-01 7.9913E-05 + 5 3.8999E-02 9.6100E-01 + 6 9.3270E-01 6.7295E-02 + 7 9.8881E-01 1.1190E-02 + 8 4.1252E-03 9.9587E-01 + 9 9.7252E-01 2.7479E-02 + 10 9.9969E-01 3.0805E-04 + 11 2.1722E-01 7.8278E-01 + 12 7.6938E-01 2.3062E-01 + 13 9.9997E-01 2.6937E-05 + 14 6.1133E-03 9.9389E-01 + 15 4.4189E-02 9.5581E-01 + 16 3.5006E-04 9.9965E-01 + 17 9.9990E-01 9.7029E-05 + 18 4.0270E-05 9.9996E-01 + 19 9.7380E-01 2.6202E-02 + 20 3.0204E-04 9.9970E-01 + 21 6.9471E-02 9.3053E-01 + 22 4.1603E-03 9.9584E-01 + 23 3.0839E-02 9.6916E-01 + 24 9.9116E-01 8.8421E-03 + 25 4.1534E-04 9.9958E-01 + +No. iterations: 14 +Log-likelihood: -29.6831 diff --git a/simple_examples/baseresults/g05kfje.r b/simple_examples/baseresults/g05kfje.r new file mode 100644 index 0000000..830c10a --- /dev/null +++ b/simple_examples/baseresults/g05kfje.r @@ -0,0 +1,7 @@ +G05KFJ Example Program Results + +0.6364 +0.1065 +0.7460 +0.7983 +0.1046 \ No newline at end of file diff --git a/simple_examples/baseresults/g13awje.r b/simple_examples/baseresults/g13awje.r new file mode 100644 index 0000000..25be8b6 --- /dev/null +++ b/simple_examples/baseresults/g13awje.r @@ -0,0 +1,4 @@ + G13AWJ Example Program Results + +Dickey-Fuller test statistic = -2.540 +associated p-value = 0.013 diff --git a/simple_examples/baseresults/g13meje.r b/simple_examples/baseresults/g13meje.r new file mode 100644 index 0000000..07a391e --- /dev/null +++ b/simple_examples/baseresults/g13meje.r @@ -0,0 +1,39 @@ +G13MEJ Example Program Results + + Iterated + Time EMA + +-------------------------------- + 1 7.5 0.531 + 2 8.2 0.544 + 3 18.1 0.754 + 4 22.8 0.406 + 5 25.8 0.232 + + 6 26.8 0.217 + 7 31.1 0.357 + 8 38.4 0.630 + 9 45.9 0.263 + 10 48.2 0.241 + 11 48.9 0.279 + 12 57.9 0.713 + 13 58.5 0.717 + 14 63.9 0.385 + 15 65.2 0.346 + + 16 66.6 0.330 + 17 67.4 0.315 + 18 69.3 0.409 + 19 69.9 0.459 + 20 73.0 0.377 + 21 75.6 0.411 + 22 77.0 0.536 + 23 84.7 0.632 + 24 86.8 0.538 + 25 88.0 0.444 + 26 88.5 0.401 + 27 91.0 0.331 + 28 93.0 0.495 + 29 93.7 0.585 + 30 94.0 0.612 + diff --git a/simple_examples/baseresults/g13naje.r b/simple_examples/baseresults/g13naje.r new file mode 100644 index 0000000..b87dda8 --- /dev/null +++ b/simple_examples/baseresults/g13naje.r @@ -0,0 +1,11 @@ +G13NAJ Example Program Results + + -- Charge Points -- --- Distribution --- + Number Position Parameters +================================================= + 1 12 0.34 1.00 + 2 32 2.57 1.00 + 3 49 1.45 1.00 + 4 52 -0.48 1.00 + 5 70 1.20 1.00 + 6 100 -0.23 1.00 diff --git a/simple_examples/baseresults/h02bbje.r b/simple_examples/baseresults/h02bbje.r new file mode 100644 index 0000000..64136ef --- /dev/null +++ b/simple_examples/baseresults/h02bbje.r @@ -0,0 +1,79 @@ +H02BBJ Example Program Results + + + *** IP solver + + Parameters + ---------- + + Linear constraints...... 3 First integer solution.. OFF + Variables............... 2 Max depth of the tree... 4 + + Feasibility tolerance... 1.05E-08 Print level............. 10 + Infinite bound size..... 1.00E+20 EPS (machine precision). 1.11E-16 + + Integer feasibility tol. 1.00E-05 Iteration limit......... 50 + Max number of nodes..... NONE + + ** Workspace provided with MAXDPT = 4: LRWORK = 84 LIWORK = 137 + ** Workspace required with MAXDPT = 4: LRWORK = 84 LIWORK = 137 + + + *** Optimum LP solution *** -17.50000 + + + Varbl State Value Lower Bound Upper Bound Lagr Mult Residual + + V 1 FR 3.92857 0.00000 None 0.000 3.929 + V 2 FR 1.42857 0.00000 None 0.000 1.429 + + + L Con State Value Lower Bound Upper Bound Lagr Mult Residual + + L 1 UL 15.0000 None 15.0000 -1.000 0.000 + L 2 UL 5.00000 None 5.00000 -0.5000 -8.8818E-16 + L 3 FR 14.6429 5.00000 None 0.000 9.643 + + + *** Start of tree search *** + + + Node Parent Obj Varbl Value Lower Upper Value Depth + No Node Value Chosen Before Bound Bound After + 2 1 No Feas Soln 1 3.93 4.00 None 4.00 1 + 3 1 -16.2 1 3.93 0.00 3.00 3.00 1 + 4 3 -15.5 2 1.80 2.00 None 2.00 2 + 5 3 -13.0 2 1.80 0.00 1.00 1.00 2 + *** Integer solution *** + + + Node Parent Obj Varbl Value Lower Upper Value Depth + No Node Value Chosen Before Bound Bound After + 6 4 No Feas Soln 1 2.50 3.00 3.00 3.00 3 + 7 4 -14.8 1 2.50 0.00 2.00 2.00 3 + 8 7 -12.0 CO 2 2.20 3.00 None 3.00 4 + 9 7 -14.0 2 2.20 2.00 2.00 2.00 4 + *** Integer solution *** + + *** End of tree search *** + + + Total of 9 nodes investigated. + + Exit IP solver - Optimum IP solution found. + + Final IP objective value = -14.00000 + + + + Varbl State Value Lower Bound Upper Bound Lagr Mult Residual + + V 1 UL 2.00000 0.00000 2.00000 -3.000 0.000 + V 2 EQ 2.00000 2.00000 2.00000 -4.000 0.000 + + + L Con State Value Lower Bound Upper Bound Lagr Mult Residual + + L 1 FR 14.0000 None 15.0000 0.000 1.000 + L 2 FR 0.00000 None 5.00000 0.000 5.000 + L 3 FR 10.0000 5.00000 None 0.000 5.000 diff --git a/simple_examples/baseresults/h02daje.r b/simple_examples/baseresults/h02daje.r new file mode 100644 index 0000000..125c5bf --- /dev/null +++ b/simple_examples/baseresults/h02daje.r @@ -0,0 +1,14 @@ +H02DAJ Example Program Results + + Final Esimate: + 1 + 1 0.3750 + 2 0.0000 + 3 0.5250 + 4 0.1000 + 5 1.0000 + 6 0.0000 + 7 1.0000 + 8 1.0000 +Requested accuracy of QP subproblems 1.0000e-10 +Optimised value: 2.925 diff --git a/simple_examples/baseresults/m01ccje.r b/simple_examples/baseresults/m01ccje.r new file mode 100644 index 0000000..33e1712 --- /dev/null +++ b/simple_examples/baseresults/m01ccje.r @@ -0,0 +1,15 @@ + M01CCJ Example Program Results + + Records sorted on columns 7 to 12 + + C05AZF 2181 + C05AUF 1351 + C02AEF 599 + A02ACF 531 + A02ABF 523 + A02AAF 289 + C05AVF 240 + C05AXF 211 + C05AYF 183 + C02ADF 169 + C05AWF 136 diff --git a/simple_examples/baseresults/nagcomplexexample.r b/simple_examples/baseresults/nagcomplexexample.r new file mode 100644 index 0000000..2040ba1 --- /dev/null +++ b/simple_examples/baseresults/nagcomplexexample.r @@ -0,0 +1,60 @@ +Please read the source of NAGComplexExample.java for a better understanding of how to use NAGComplex + +*****BASICS***** + +Constructing z1 and z2; +z1 = (0.0, 0.0) +z2 = (2.0, 3.0) + +Changing z1 values using NAGComplex.setRe() and NAGComplex.setIm(); +z1 = (3.0, 4.0) + +Copying z2 to z3 using NAGComplex.clone(); +z3 = (2.0, 3.0) +Copying z1 to z4 using static method NAGComplex.clone(NAGComplex z) +z4 = (3.0, 4.0) + +Array created using NAGComplex.createArray(5); +(0.0, 0.0) (0.0, 0.0) (0.0, 0.0) (0.0, 0.0) (0.0, 0.0) + +The same array updated using NAGComplex[i].setRe() and NAGComplex[i].setIm(); +(1.0, 9.0) (2.0, 8.0) (3.0, 7.0) (4.0, 6.0) (5.0, 5.0) + +*****ARITHMETIC***** + +z1 = (3.0, 4.0) +z2 = (2.0, 3.0) +z3 = (6.0, -2.0) +z4 = (4.0, -5.0) + +z1 + z2 = (5.0, 7.0) +z3 + z4 = (10.0, -7.0) + +z1 - z2 = (1.0, 1.0) +z3 - z4 = (2.0, 3.0) + +z1 * z2 = (-6.0, 17.0) +z3 * z4 = (14.0, -38.0) + +z1 / z2 = (1.3846153846153846, -0.07692307692307696) +z3 / z4 = (0.829268292682927, 0.5365853658536587) + +-(z1) = (-3.0, -4.0) +-(z2) = (-2.0, -3.0) + +conjugate(z1) = (3.0, -4.0) +conjugate(z2) = (2.0, -3.0) + +z3 == z4? - false +z4 = (6.0, -2.0) +z3 == z4? - true +|z1| = 5.0 +|z2| = 3.6055512754639896 + +arg(z1) = 0.9272952180016122 +arg(z2) = 0.982793723247329 + +z5 = (-5.0, 12.0) +z6 = (-9.0, 40.0) +Sqrt(z5) = (2.0, 3.0) +Sqrt(z6) = (4.0, 5.0) \ No newline at end of file diff --git a/simple_examples/baseresults/outputexample.r b/simple_examples/baseresults/outputexample.r new file mode 100644 index 0000000..76fc07e --- /dev/null +++ b/simple_examples/baseresults/outputexample.r @@ -0,0 +1,10 @@ + *** Start of NAG Library implementation details *** + + Implementation title: Linux, 64-bit, Intel C/C++ or Intel Fortran + Precision: double precision + Product Code: NLL6I27DBL + Mark: 27.2.0 (self-contained) + + This is a 64-bit library using 32-bit integers. + + *** End of NAG Library implementation details *** diff --git a/simple_examples/baseresults/s01baje.r b/simple_examples/baseresults/s01baje.r new file mode 100644 index 0000000..b3b20dd --- /dev/null +++ b/simple_examples/baseresults/s01baje.r @@ -0,0 +1,9 @@ +S01BAJ Example Program Results + + X Y + 2.5000e+00 1.2528e+00 + 1.2500e-01 1.1778e-01 + -9.0600e-01 -2.3645e+00 + 1.2900e-03 1.2892e-03 + -7.8300e-06 -7.8300e-06 + 1.0000e-09 1.0000e-09 diff --git a/simple_examples/baseresults/s10aaje.r b/simple_examples/baseresults/s10aaje.r new file mode 100644 index 0000000..eac481e --- /dev/null +++ b/simple_examples/baseresults/s10aaje.r @@ -0,0 +1,7 @@ +S10AAJ Example Program Results + + X Y + -2.000e+01 -1.000e+00 + -5.000e+00 -9.999e-01 + 5.000e-01 4.621e-01 + 5.000e+00 9.999e-01 diff --git a/simple_examples/baseresults/s10abje.r b/simple_examples/baseresults/s10abje.r new file mode 100644 index 0000000..54e3b1c --- /dev/null +++ b/simple_examples/baseresults/s10abje.r @@ -0,0 +1,8 @@ +S10ABJ Example Program Results + + X Y + -1.000e+01 -1.101e+04 + -5.000e-01 -5.211e-01 + 0.000e+00 0.000e+00 + 5.000e-01 5.211e-01 + 2.500e+01 3.600e+10 diff --git a/simple_examples/baseresults/s10acje.r b/simple_examples/baseresults/s10acje.r new file mode 100644 index 0000000..e71c76b --- /dev/null +++ b/simple_examples/baseresults/s10acje.r @@ -0,0 +1,8 @@ +S10ACJ Example Program Results + + X Y + -1.000e+01 1.101e+04 + -5.000e-01 1.128e+00 + 0.000e+00 1.000e+00 + 5.000e-01 1.128e+00 + 2.500e+01 3.600e+10 diff --git a/simple_examples/baseresults/s14abje.r b/simple_examples/baseresults/s14abje.r new file mode 100644 index 0000000..86c60ea --- /dev/null +++ b/simple_examples/baseresults/s14abje.r @@ -0,0 +1,12 @@ +S14ABJ Example Program Results + + X Y + 1.000e+00 0.000e+00 + 1.250e+00 -9.827e-02 + 1.500e+00 -1.208e-01 + 1.750e+00 -8.440e-02 + 2.000e+00 0.000e+00 + 5.000e+00 3.178e+00 + 1.000e+01 1.280e+01 + 2.000e+01 3.934e+01 + 1.000e+03 5.905e+03 diff --git a/simple_examples/baseresults/s14acje.r b/simple_examples/baseresults/s14acje.r new file mode 100644 index 0000000..cda0185 --- /dev/null +++ b/simple_examples/baseresults/s14acje.r @@ -0,0 +1,8 @@ +S14ACJ Example Program Results + + X psi(X)-log(X) + + 0.1000 -8.1212 + 0.5000 -1.2704 + 3.6000 -0.1453 + 8.0000 -0.0638 diff --git a/simple_examples/baseresults/s14afje.r b/simple_examples/baseresults/s14afje.r new file mode 100644 index 0000000..68a5fd5 --- /dev/null +++ b/simple_examples/baseresults/s14afje.r @@ -0,0 +1,5 @@ +S14AFJ Example Program Results + + Z K (d^K/dz^K)psi(Z) + + (-1.5, 2.5) 1 (-1.9737e-01, -2.4271e-01) diff --git a/simple_examples/baseresults/s17dcje.r b/simple_examples/baseresults/s17dcje.r new file mode 100644 index 0000000..845aae3 --- /dev/null +++ b/simple_examples/baseresults/s17dcje.r @@ -0,0 +1,10 @@ +S17DCF Example Program Results + +Calling with N = 2 + +FNU Z SCAL CY[0] CY[1] NZ +0.0000 (0.3000, 0.4000) U (-0.4983, 0.6700) (-1.0149, 0.9485) 0 +2.3000 (2.0000, 0.0000) U (-0.7398, 0.0000) (-1.4120, 0.0000) 0 +2.1200 (-1.0000, 0.0000) U (-1.7279, 0.8602) (6.5331, -2.6154) 0 +1.5800 (-2.3000, 5.6000) U (36.4755, -1.5521) (-2.6788, 25.9112) 0 +1.5800 (-2.3000, 5.6000) S (0.1349, -0.0057) (-0.0099, 0.0958) 0 diff --git a/simple_examples/baseresults/s17dgje.r b/simple_examples/baseresults/s17dgje.r new file mode 100644 index 0000000..c26ff48 --- /dev/null +++ b/simple_examples/baseresults/s17dgje.r @@ -0,0 +1,9 @@ + S17DGJ Example Program Results + + DERIV Z SCAL AI NZ + + F ( 0.3000, 0.4000) U ( 0.2716, -0.1002) 0 + F ( 0.2000, 0.0000) U ( 0.3037, 0.0000) 0 + F ( 1.1000, -6.6000) U (-43.6632,-47.9030) 0 + F ( 1.1000, -6.6000) S ( 0.1655, 0.0597) 0 + D ( -1.0000, 0.0000) U ( -0.0102, 0.0000) 0 diff --git a/simple_examples/baseresults/s30aaje.r b/simple_examples/baseresults/s30aaje.r new file mode 100644 index 0000000..32fc477 --- /dev/null +++ b/simple_examples/baseresults/s30aaje.r @@ -0,0 +1,16 @@ +S30AAJ Example Program Results + +Black-Scholes-Merton formula +European Call : + Spot = 55.0000 + Volatility = 0.3000 + Rate = 0.1000 + Dividend = 0.0000 + + Strike Expiry Option Price + 58.0000 0.7000 5.9198 + 58.0000 0.8000 6.5506 + 60.0000 0.7000 5.0809 + 60.0000 0.8000 5.6992 + 62.0000 0.7000 4.3389 + 62.0000 0.8000 4.9379 diff --git a/simple_examples/baseresults/s30acje.r b/simple_examples/baseresults/s30acje.r new file mode 100644 index 0000000..134730e --- /dev/null +++ b/simple_examples/baseresults/s30acje.r @@ -0,0 +1,9 @@ + S30ACJ Example Program Results + + SIGMA IVALID + + 7.834E-01 0 + 7.386E-01 0 + 4.096E-01 0 + 4.085E-01 0 + 4.179E-01 0 diff --git a/simple_examples/baseresults/simpleroutineexample.r b/simple_examples/baseresults/simpleroutineexample.r new file mode 100644 index 0000000..e1f6a4e --- /dev/null +++ b/simple_examples/baseresults/simpleroutineexample.r @@ -0,0 +1,15 @@ + C05AZ Example Program results: + + Iterations + + X = 0.00000 FX= 1.0000e+00 IND = 2 + X = 1.00000 FX= -6.3212e-01 IND = 3 + X = 0.61270 FX= -7.0814e-02 IND = 4 + X = 0.56707 FX= 1.1542e-04 IND = 4 + X = 0.56714 FX= -9.4481e-07 IND = 4 + X = 0.56713 FX= 1.4727e-05 IND = 4 + X = 0.56714 FX= -9.4481e-07 IND = 4 + + Solution + + X = 0.56714 Y = 0.56713 diff --git a/simple_examples/baseresults/userdefinedfunctionexample1.r b/simple_examples/baseresults/userdefinedfunctionexample1.r new file mode 100644 index 0000000..c2fd510 --- /dev/null +++ b/simple_examples/baseresults/userdefinedfunctionexample1.r @@ -0,0 +1 @@ +The result is -0.03183098861837909 diff --git a/simple_examples/baseresults/userdefinedfunctionexample2.r b/simple_examples/baseresults/userdefinedfunctionexample2.r new file mode 100644 index 0000000..c2fd510 --- /dev/null +++ b/simple_examples/baseresults/userdefinedfunctionexample2.r @@ -0,0 +1 @@ +The result is -0.03183098861837909 diff --git a/simple_examples/baseresults/x03aaje.r b/simple_examples/baseresults/x03aaje.r new file mode 100644 index 0000000..d2b7138 --- /dev/null +++ b/simple_examples/baseresults/x03aaje.r @@ -0,0 +1,3 @@ +X03AAF Example Program Results + +D1 = -5.0 D2 = 0.0 \ No newline at end of file diff --git a/simple_examples/baseresults/x04cbje.r b/simple_examples/baseresults/x04cbje.r new file mode 100644 index 0000000..6b842ef --- /dev/null +++ b/simple_examples/baseresults/x04cbje.r @@ -0,0 +1,21 @@ +X04CBJ Example Program Results + + Example 1 + 1 2 3 4 5 + 1 11.0000 12.0000 13.0000 14.0000 15.0000 + 2 21.0000 22.0000 23.0000 24.0000 25.0000 + 3 31.0000 32.0000 33.0000 34.0000 35.0000 + + Example 2: + Un Deux Trois Quatre Cinq + Uno 11.00 12.00 13.00 14.00 15.00 + Due 22.00 23.00 24.00 25.00 + Tre 33.00 34.00 35.00 + Quattro 44.00 45.00 + Cinque 55.00 + + A = [ + 11.00 0.00 0.00 0.00 0.00; + 21.00 22.00 0.00 0.00 0.00; + 31.00 32.00 33.00 0.00 0.00; + ]; diff --git a/simple_examples/baseresults/x05abje.r b/simple_examples/baseresults/x05abje.r new file mode 100644 index 0000000..f94235c --- /dev/null +++ b/simple_examples/baseresults/x05abje.r @@ -0,0 +1,2 @@ + X05ABJ Example Program Results +Tue 14th Jul 1789 13:11:48.320 diff --git a/simple_examples/data/c02abje.d b/simple_examples/data/c02abje.d new file mode 100644 index 0000000..3f2dfd1 --- /dev/null +++ b/simple_examples/data/c02abje.d @@ -0,0 +1,14 @@ +C02ABJ Example Program Data + +Example 1: Basic Problem + 6 : Degree, n + 3.5 : Coefficients, a + 1.0 + -7.0 + 12.5 + 2.5 + -17.0 + 32.5 + +Example 2: Polishing Processes + 10 : Degree, n diff --git a/simple_examples/data/c02afje.d b/simple_examples/data/c02afje.d new file mode 100644 index 0000000..0e31bab --- /dev/null +++ b/simple_examples/data/c02afje.d @@ -0,0 +1,19 @@ +C02AFJ Example Program Data + +Example 1 + 5 + 5.0 6.0 + 30.0 20.0 + -0.2 -6.0 + 50.0 100000.0 + -2.0 40.0 + 10.0 1.0 + +Example 2 + 5 + 5.0 6.0 + 30.0 20.0 + -0.2 -6.0 + 50.0 100000.0 + -2.0 40.0 + 10.0 1.0 diff --git a/simple_examples/data/c02agje.d b/simple_examples/data/c02agje.d new file mode 100644 index 0000000..ada6a96 --- /dev/null +++ b/simple_examples/data/c02agje.d @@ -0,0 +1,9 @@ +C02AGJ Example Program Data + +Example 1 + 5 + 1.0 2.0 3.0 4.0 5.0 6.0 + +Example 2 + 5 + 1.0 2.0 3.0 4.0 5.0 6.0 diff --git a/simple_examples/data/c02ahje.d b/simple_examples/data/c02ahje.d new file mode 100644 index 0000000..0e1a9ea --- /dev/null +++ b/simple_examples/data/c02ahje.d @@ -0,0 +1,2 @@ +C02AHJ Example Program Data + 1.0 0.0 -3.0 1.0 8.0 1.0 :AR AI BR BI CR CI diff --git a/simple_examples/data/c02ajje.d b/simple_examples/data/c02ajje.d new file mode 100644 index 0000000..c24b295 --- /dev/null +++ b/simple_examples/data/c02ajje.d @@ -0,0 +1,2 @@ +C02AJJ Example Program Data + 1.0 3.0 -10.0 :A B C diff --git a/simple_examples/data/c02akje.d b/simple_examples/data/c02akje.d new file mode 100644 index 0000000..0b71c64 --- /dev/null +++ b/simple_examples/data/c02akje.d @@ -0,0 +1,2 @@ +C02AKJ Example Program Data + 1.0 3.0 9.0 -13.0 : Values of U, R, S and T diff --git a/simple_examples/data/c02alje.d b/simple_examples/data/c02alje.d new file mode 100644 index 0000000..a519a24 --- /dev/null +++ b/simple_examples/data/c02alje.d @@ -0,0 +1,2 @@ +C02ALJ Example Program Data + 1.0 2.0 6.0 -8.0 -40.0 : Values of E, A, B, C and D diff --git a/simple_examples/data/c02amje.d b/simple_examples/data/c02amje.d new file mode 100644 index 0000000..9bff4dc --- /dev/null +++ b/simple_examples/data/c02amje.d @@ -0,0 +1,5 @@ +C02AMJ Example Program Data + ( 1.0, 0.0) + ( -2.0, 3.0) + ( 5.0, 14.0) + (-40.0, -5.0) : Values of U, R, S and T diff --git a/simple_examples/data/c02anje.d b/simple_examples/data/c02anje.d new file mode 100644 index 0000000..c331b10 --- /dev/null +++ b/simple_examples/data/c02anje.d @@ -0,0 +1,6 @@ +C02ANJ Example Program Data + ( 1.0, 0.0) + ( 0.0, 0.0) + ( 0.0, 16.0) + ( -8.0, 8.0) + (-65.0, 0.0) : Values of E, A, B, C and D diff --git a/simple_examples/data/c05bbje.d b/simple_examples/data/c05bbje.d new file mode 100644 index 0000000..6c78ea9 --- /dev/null +++ b/simple_examples/data/c05bbje.d @@ -0,0 +1,7 @@ +C05BBJ Example Program Data +0 : BRANCH +false : OFFSET +0.5 -1.0 +1.0 2.3 +4.5 -0.1 +6.0 6.0 : Z diff --git a/simple_examples/data/c06fkje.d b/simple_examples/data/c06fkje.d new file mode 100644 index 0000000..e042218 --- /dev/null +++ b/simple_examples/data/c06fkje.d @@ -0,0 +1,11 @@ +C06FKJ Example Program Data +9 : n +1.00 0.50 +1.00 0.50 +1.00 0.50 +1.00 0.50 +1.00 0.00 +0.00 0.00 +0.00 0.00 +0.00 0.00 +0.00 0.00 : xa, ya diff --git a/simple_examples/data/c09aaje.d b/simple_examples/data/c09aaje.d new file mode 100644 index 0000000..8313509 --- /dev/null +++ b/simple_examples/data/c09aaje.d @@ -0,0 +1,11 @@ +C09AAF Example Program Data + 8 : n + Haar Zero : wavnam, mode + 2.0 + 5.0 + 8.0 + 9.0 + 7.0 + 4.0 +-1.0 + 1.0 : x(1:n) diff --git a/simple_examples/data/d03pcje.d b/simple_examples/data/d03pcje.d new file mode 100644 index 0000000..9e78e1f --- /dev/null +++ b/simple_examples/data/d03pcje.d @@ -0,0 +1,6 @@ +D03PCJ Example Program Data +6 20 1 : intpts, npts, itype +0.0 0.4 0.6 0.8 0.9 1.0 : xout(1:intpts) +1.0E-3 1.0 : acc, alpha +1 0 : m, itrace +0.0 0.1E-4 : ts, tout diff --git a/simple_examples/data/e02alje.d b/simple_examples/data/e02alje.d new file mode 100644 index 0000000..b1c9d44 --- /dev/null +++ b/simple_examples/data/e02alje.d @@ -0,0 +1,23 @@ +E02ALJ Example Program Data + 21 5 11 : N, M, NEVAL + 0.00 1.0000000000 + 0.05 1.0512710964 + 0.10 1.1051709181 + 0.15 1.1618342427 + 0.20 1.2214027582 + 0.25 1.2840254167 + 0.30 1.3498588076 + 0.35 1.4190675486 + 0.40 1.4918246976 + 0.45 1.5683121855 + 0.50 1.6487212707 + 0.55 1.7332530179 + 0.60 1.8221188004 + 0.65 1.9155408290 + 0.70 2.0137527075 + 0.75 2.1170000166 + 0.80 2.2255409285 + 0.85 2.3396468519 + 0.90 2.4596031112 + 0.95 2.5857096593 + 1.00 2.7182818285 : X, Y diff --git a/simple_examples/data/e04fcje.d b/simple_examples/data/e04fcje.d new file mode 100644 index 0000000..963a616 --- /dev/null +++ b/simple_examples/data/e04fcje.d @@ -0,0 +1,16 @@ +E04FCF Example Program Data + 0.14 1.0 15.0 1.0 + 0.18 2.0 14.0 2.0 + 0.22 3.0 13.0 3.0 + 0.25 4.0 12.0 4.0 + 0.29 5.0 11.0 5.0 + 0.32 6.0 10.0 6.0 + 0.35 7.0 9.0 7.0 + 0.39 8.0 8.0 8.0 + 0.37 9.0 7.0 7.0 + 0.58 10.0 6.0 6.0 + 0.73 11.0 5.0 5.0 + 0.96 12.0 4.0 4.0 + 1.34 13.0 3.0 3.0 + 2.10 14.0 2.0 2.0 + 4.39 15.0 1.0 1.0 diff --git a/simple_examples/data/e04mxje.d b/simple_examples/data/e04mxje.d new file mode 100644 index 0000000..7d45bf8 --- /dev/null +++ b/simple_examples/data/e04mxje.d @@ -0,0 +1,64 @@ +NAME E04MX.EX +ROWS + L ..ROW1.. + L ..ROW2.. + L ..ROW3.. + N ..COST.. +COLUMNS + ...X1... ..ROW1.. 1.0 ..ROW2.. 1.0 + ...X1... ..ROW3.. 1.0 ..COST.. -4.0 + ...X2... ..ROW1.. 1.0 ..ROW2.. 2.0 + ...X2... ..ROW3.. -1.0 ..COST.. -1.0 + ...X3... ..ROW1.. 1.0 ..ROW2.. 3.0 + ...X3... ..ROW3.. 1.0 ..COST.. -1.0 + ...X4... ..ROW1.. 1.0 ..ROW2.. 4.0 + ...X4... ..ROW3.. -1.0 ..COST.. -1.0 + ...X5... ..ROW1.. 1.0 ..ROW2.. -2.0 + ...X5... ..ROW3.. 1.0 ..COST.. -1.0 + ...X6... ..ROW1.. 1.0 ..ROW2.. 1.0 + ...X6... ..ROW3.. 1.0 ..COST.. -1.0 + ...X7... ..ROW1.. 1.0 ..ROW2.. 1.0 + ...X7... ..ROW3.. 1.0 ..COST.. -1.0 + ...X8... ..ROW1.. 1.0 ..ROW2.. 1.0 + ...X8... ..ROW3.. 1.0 ..COST.. -0.1 + ...X9... ..ROW1.. 4.0 ..ROW2.. 1.0 + ...X9... ..ROW3.. 1.0 ..COST.. -0.3 +RHS + RHS1 ..ROW1.. 1.5 + RHS1 ..ROW2.. 1.5 + RHS1 ..ROW3.. 4.0 + RHS1 ..COST.. 1000.0 +RANGES + RANGE1 ..ROW1.. 3.5 + RANGE1 ..ROW2.. 3.5 + RANGE1 ..ROW3.. 6.0 +BOUNDS + LO BOUND ...X1... -2.0 + LO BOUND ...X2... -2.0 + LO BOUND ...X3... -2.0 + LO BOUND ...X4... -2.0 + LO BOUND ...X5... -2.0 + LO BOUND ...X6... -2.0 + LO BOUND ...X7... -2.0 + LO BOUND ...X8... -2.0 + LO BOUND ...X9... -2.0 + UP BOUND ...X1... 2.0 + UP BOUND ...X2... 2.0 + UP BOUND ...X3... 2.0 + UP BOUND ...X4... 2.0 + UP BOUND ...X5... 2.0 + UP BOUND ...X6... 2.0 + UP BOUND ...X7... 2.0 + UP BOUND ...X8... 2.0 + UP BOUND ...X9... 2.0 +QUADOBJ + ...X1... ...X1... 2.00000000E0 ...X2... 1.00000000E0 + ...X1... ...X3... 1.00000000E0 ...X4... 1.00000000E0 + ...X1... ...X5... 1.00000000E0 + ...X2... ...X2... 2.00000000E0 ...X3... 1.00000000E0 + ...X2... ...X4... 1.00000000E0 ...X5... 1.00000000E0 + ...X3... ...X3... 2.00000000E0 ...X4... 1.00000000E0 + ...X3... ...X5... 1.00000000E0 + ...X4... ...X4... 2.00000000E0 ...X5... 1.00000000E0 + ...X5... ...X5... 2.00000000E0 +ENDATA diff --git a/simple_examples/data/e04ncje.d b/simple_examples/data/e04ncje.d new file mode 100644 index 0000000..bdf378b --- /dev/null +++ b/simple_examples/data/e04ncje.d @@ -0,0 +1,21 @@ +E04NCA Example Program Data + 10 9 3 :Values of M, N and NCLIN + 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 + 1.0 2.0 1.0 1.0 1.0 1.0 2.0 0.0 0.0 + 1.0 1.0 3.0 1.0 1.0 1.0 -1.0 -1.0 -3.0 + 1.0 1.0 1.0 4.0 1.0 1.0 1.0 1.0 1.0 + 1.0 1.0 1.0 3.0 1.0 1.0 1.0 1.0 1.0 + 1.0 1.0 2.0 1.0 1.0 0.0 0.0 0.0 -1.0 + 1.0 1.0 1.0 1.0 0.0 1.0 1.0 1.0 1.0 + 1.0 1.0 1.0 0.0 1.0 1.0 1.0 1.0 1.0 + 1.0 1.0 0.0 1.0 1.0 1.0 2.0 2.0 3.0 + 1.0 0.0 1.0 1.0 1.0 1.0 0.0 2.0 2.0 :End of matrix A + 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 :End of B + 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 4.0 + 1.0 2.0 3.0 4.0 -2.0 1.0 1.0 1.0 1.0 + 1.0 -1.0 1.0 -1.0 1.0 1.0 1.0 1.0 1.0 :End of matrix C + 0.0 0.0 -1.0E+25 0.0 0.0 0.0 0.0 0.0 0.0 + 2.0 -1.0E+25 1.0 :End of BL + 2.0 2.0 2.0 2.0 2.0 2.0 2.0 2.0 2.0 + 1.0E+25 2.0 4.0 :End of BU + 1.0 0.5 0.3333 0.25 0.2 0.1667 0.1428 0.125 0.1111 :End of X diff --git a/simple_examples/data/e04nfje.d b/simple_examples/data/e04nfje.d new file mode 100644 index 0000000..f2c6165 --- /dev/null +++ b/simple_examples/data/e04nfje.d @@ -0,0 +1,22 @@ +E04NFA Example Program Data + 7 7 :Values of N and NCLIN + -0.02 -0.20 -0.20 -0.20 -0.20 0.04 0.04 :End of CVEC + 1.00 1.00 1.00 1.00 1.00 1.00 1.00 + 0.15 0.04 0.02 0.04 0.02 0.01 0.03 + 0.03 0.05 0.08 0.02 0.06 0.01 0.00 + 0.02 0.04 0.01 0.02 0.02 0.00 0.00 + 0.02 0.03 0.00 0.00 0.01 0.00 0.00 + 0.70 0.75 0.80 0.75 0.80 0.97 0.00 + 0.02 0.06 0.08 0.12 0.02 0.01 0.97 :End of matrix A + -0.01 -0.10 -0.01 -0.04 -0.10 -0.01 -0.01 + -0.13 -1.0E+25 -1.0E+25 -1.0E+25 -1.0E+25 -9.92E-02 -3.0E-03 :End of BL + 0.01 0.15 0.03 0.02 0.05 1.0E+25 1.0E+25 + -0.13 -4.9E-03 -6.4E-03 -3.7E-03 -1.2E-03 1.0E+25 2.0E-03 :End of BU + -0.01 -0.03 0.00 -0.01 -0.10 0.02 0.01 :End of X + 2.00 0.00 0.00 0.00 0.00 0.00 0.00 + 0.00 2.00 0.00 0.00 0.00 0.00 0.00 + 0.00 0.00 2.00 2.00 0.00 0.00 0.00 + 0.00 0.00 2.00 2.00 0.00 0.00 0.00 + 0.00 0.00 0.00 0.00 2.00 0.00 0.00 + 0.00 0.00 0.00 0.00 0.00 -2.00 -2.00 + 0.00 0.00 0.00 0.00 0.00 -2.00 -2.00 :End of matrix H diff --git a/simple_examples/data/e04nqje.d b/simple_examples/data/e04nqje.d new file mode 100644 index 0000000..a1c9039 --- /dev/null +++ b/simple_examples/data/e04nqje.d @@ -0,0 +1,67 @@ +E04NQF Example Program Data + 7 8 : Values of N and M +48 8 7 'C' 15 : Values of NNZ, IOBJ, NCOLH, START and NNAME + +'...X1...' '...X2...' '...X3...' '...X4...' '...X5...' +'...X6...' '...X7...' '..ROW1..' '..ROW2..' '..ROW3..' +'..ROW4..' '..ROW5..' '..ROW6..' '..ROW7..' '..COST..' : End of array NAMES + + 0.02 7 1 : Sparse matrix A, ordered by increasing column index; + 0.02 5 1 : each row contains ACOL(i), INDA(i), ICOL (= column index) + 0.03 3 1 : The row indices may be in any order. In this example + 1.00 1 1 : row 8 defines the linear objective term transpose(C)*X. + 0.70 6 1 + 0.02 4 1 + 0.15 2 1 + -200.00 8 1 + 0.06 7 2 + 0.75 6 2 + 0.03 5 2 + 0.04 4 2 + 0.05 3 2 + 0.04 2 2 + 1.00 1 2 +-2000.00 8 2 + 0.02 2 3 + 1.00 1 3 + 0.01 4 3 + 0.08 3 3 + 0.08 7 3 + 0.80 6 3 +-2000.00 8 3 + 1.00 1 4 + 0.12 7 4 + 0.02 3 4 + 0.02 4 4 + 0.75 6 4 + 0.04 2 4 +-2000.00 8 4 + 0.01 5 5 + 0.80 6 5 + 0.02 7 5 + 1.00 1 5 + 0.02 2 5 + 0.06 3 5 + 0.02 4 5 +-2000.00 8 5 + 1.00 1 6 + 0.01 2 6 + 0.01 3 6 + 0.97 6 6 + 0.01 7 6 + 400.00 8 6 + 0.97 7 7 + 0.03 2 7 + 1.00 1 7 + 400.00 8 7 : End of matrix A + + 0.0 0.0 4.0E+02 1.0E+02 0.0 0.0 + 0.0 2.0E+03 -1.0E+25 -1.0E+25 -1.0E+25 -1.0E+25 + 1.5E+03 2.5E+02 -1.0E+25 : End of lower bounds array BL + + 2.0E+02 2.5E+03 8.0E+02 7.0E+02 1.5E+03 1.0E+25 + 1.0E+25 2.0E+03 6.0E+01 1.0E+02 4.0E+01 3.0E+01 + 1.0E+25 3.0E+02 1.0E+25 : End of upper bounds array BU + + 0 0 0 0 0 0 0 : Initial array HS + 0.0 0.0 0.0 0.0 0.0 0.0 0.0 : Initial vector X diff --git a/simple_examples/data/e04rsje.d b/simple_examples/data/e04rsje.d new file mode 100644 index 0000000..9540ce2 --- /dev/null +++ b/simple_examples/data/e04rsje.d @@ -0,0 +1,13 @@ +E04RSJ Example Program Data + 3 6 6 : n, nnzq1, nnzq2 + 1 1 1 2 2 3 : irowq0 + 1 2 3 2 3 3 : icolq0 + 0.493 0.382 0.270 0.475 0.448 0.515 : q0 + 1 1 1 2 2 3 : irowq1 + 1 2 3 2 3 3 : icolq1 + 0.737 0.453 1.002 0.316 0.635 1.590 : q1 + 1 2 3 : idxr0 + 0.847 0.08 0.505 : r0 + 1 2 3 : idxr1 + 0.065 0.428 0.097 : r1 + 1.276 : s diff --git a/simple_examples/data/e04rtje.d b/simple_examples/data/e04rtje.d new file mode 100644 index 0000000..f6f5896 --- /dev/null +++ b/simple_examples/data/e04rtje.d @@ -0,0 +1,8 @@ +E04RTJ Example Program Data + 3 2 4 : n, m, nnza + 1 1 2 2 : irowa + 1 2 2 3 : icola + 0.493 0.382 0.270 0.475 : a + 0.2 0.4 : b + -1.0 -1.0 -1.0 : xl + 1.0 1.0 1.0 : xu diff --git a/simple_examples/data/e04saje.opt b/simple_examples/data/e04saje.opt new file mode 100644 index 0000000..098dd78 --- /dev/null +++ b/simple_examples/data/e04saje.opt @@ -0,0 +1,30 @@ +NAME E04SAJE +OBJSENSE + MIN +ROWS + N obj + L g1 + G g2 +COLUMNS + x1 obj 10.0 + x1 g1 -0.1 + x1 g2 -0.06 + x2 obj 20.0 + x2 g1 -0.1 + x2 g2 1.0 + x3 obj 1.0 + x3 g1 1.0 + x3 g2 1.0 +RHS + UVEC g1 1.5 + UVEC g2 1.0 +BOUNDS + LO bound x1 -2.0 + UP bound x1 2.0 + LO bound x2 -2.0 + UP bound x2 2.0 +CSECTION k1 0 QUAD + x3 + x1 + x2 +ENDATA diff --git a/simple_examples/data/e04tcje.d b/simple_examples/data/e04tcje.d new file mode 100644 index 0000000..0d7c25f --- /dev/null +++ b/simple_examples/data/e04tcje.d @@ -0,0 +1,22 @@ +E04TCJ Example Program Data +30 : nres +-1.0000000000000000E+00 -9.3103448275862066E-01 -8.6206896551724133E-01 +-7.9310344827586210E-01 -7.2413793103448276E-01 -6.5517241379310343E-01 +-5.8620689655172420E-01 -5.1724137931034486E-01 -4.4827586206896552E-01 +-3.7931034482758619E-01 -3.1034482758620685E-01 -2.4137931034482762E-01 +-1.7241379310344829E-01 -1.0344827586206895E-01 -3.4482758620689724E-02 + 3.4482758620689724E-02 1.0344827586206895E-01 1.7241379310344818E-01 + 2.4137931034482762E-01 3.1034482758620685E-01 3.7931034482758630E-01 + 4.4827586206896552E-01 5.1724137931034475E-01 5.8620689655172420E-01 + 6.5517241379310343E-01 7.2413793103448265E-01 7.9310344827586210E-01 + 8.6206896551724133E-01 9.3103448275862055E-01 1.0000000000000000E+00 : x +-4.7355262950125371E-01 -5.4938194860076961E-01 -3.9825239170869919E-01 +-3.8856020837234490E-01 -5.5342876546898057E-01 -4.9096203345353551E-01 +-5.3572741683518588E-01 -4.7612745760879621E-01 -5.3500371923553647E-01 + 6.0158102095753345E-01 -5.8735647599146978E-01 -4.4672492128166008E-01 +-2.8302528479868733E-01 -3.0311152621895832E-01 -4.1648482978955480E-02 + 3.7631282343379285E-02 1.6504195889737350E-01 5.1964885199180544E-01 + 5.4702301251386876E-01 -4.4537928919142311E-01 5.9042453784268267E-01 + 6.9016702395652996E-01 6.9143394337665087E-01 7.8263998594593021E-01 + 8.1261679746103432E-01 7.5887968830904762E-01 9.5316846217349571E-01 + 1.1014159319048389E+00 1.0675894279571976E+00 1.1538027971634699E+00 : obs diff --git a/simple_examples/data/f03baje.d b/simple_examples/data/f03baje.d new file mode 100644 index 0000000..8c792dc --- /dev/null +++ b/simple_examples/data/f03baje.d @@ -0,0 +1,5 @@ +F03BAF Example Program Data + 3 : N + 33 16 72 + -24 -10 -57 + -8 -4 -17 : A diff --git a/simple_examples/data/f04amje.d b/simple_examples/data/f04amje.d new file mode 100644 index 0000000..dc69386 --- /dev/null +++ b/simple_examples/data/f04amje.d @@ -0,0 +1,5 @@ +F04AMF Example Program Data + 3 2 : m, n + 1.1 0.9 2.2 + 1.2 1.0 2.3 + 1.0 1.0 2.1 : matrices A and B diff --git a/simple_examples/data/f04baje.d b/simple_examples/data/f04baje.d new file mode 100644 index 0000000..b1df19b --- /dev/null +++ b/simple_examples/data/f04baje.d @@ -0,0 +1,13 @@ +F04BAF Example Program Data + + 4 2 : n, nrhs + + 1.80 2.88 2.05 -0.89 + 5.25 -2.95 -0.95 -3.80 + 1.58 -2.69 -2.90 -1.04 + -1.11 -0.66 -0.59 0.80 : matrix A + + 9.52 18.47 + 24.35 2.25 + 0.77 -13.28 + -6.22 -6.21 : matrix B diff --git a/simple_examples/data/f05aaje.d b/simple_examples/data/f05aaje.d new file mode 100644 index 0000000..cafb7ea --- /dev/null +++ b/simple_examples/data/f05aaje.d @@ -0,0 +1,6 @@ +F05AAF Example Program Data + 4 2 4 + 1 -2 3 1 +-2 1 -2 -1 + 3 -2 1 5 + 4 1 5 3 \ No newline at end of file diff --git a/simple_examples/data/f08btje.d b/simple_examples/data/f08btje.d new file mode 100644 index 0000000..bea5bf4 --- /dev/null +++ b/simple_examples/data/f08btje.d @@ -0,0 +1,15 @@ +F08BTF Example Program Data + + 5 4 2 :Values of M, N and NRHS + + ( 0.47,-0.34) (-0.40, 0.54) ( 0.60, 0.01) ( 0.80,-1.02) + (-0.32,-0.23) (-0.05, 0.20) (-0.26,-0.44) (-0.43, 0.17) + ( 0.35,-0.60) (-0.52,-0.34) ( 0.87,-0.11) (-0.34,-0.09) + ( 0.89, 0.71) (-0.45,-0.45) (-0.02,-0.57) ( 1.14,-0.78) + (-0.19, 0.06) ( 0.11,-0.85) ( 1.44, 0.80) ( 0.07, 1.14) :End of matrix A + + (-1.08,-2.59) ( 2.22, 2.35) + (-2.61,-1.49) ( 1.62,-1.48) + ( 3.13,-3.61) ( 1.65, 3.43) + ( 7.33,-8.01) (-0.98, 3.08) + ( 9.12, 7.63) (-2.84, 2.78) :End of matrix B diff --git a/simple_examples/data/f08xpje.d b/simple_examples/data/f08xpje.d new file mode 100644 index 0000000..39b5c87 --- /dev/null +++ b/simple_examples/data/f08xpje.d @@ -0,0 +1,10 @@ +F08XPJ Example Program Data +4 : Value of N +(-21.10,-22.50) ( 53.50,-50.50) (-34.50,127.50) ( 7.50, 0.50) +( -0.46, -7.78) ( -3.50,-37.50) (-15.50, 58.50) (-10.50, -1.50) +( 4.30, -5.50) ( 39.70,-17.10) (-68.50, 12.50) ( -7.50, -3.50) +( 5.50, 4.40) ( 14.40, 43.30) (-32.50,-46.00) (-19.00,-32.50) : End of A +( 1.00, -5.00) ( 1.60, 1.20) ( -3.00, 0.00) ( 0.00, -1.00) +( 0.80, -0.60) ( 3.00, -5.00) ( -4.00, 3.00) ( -2.40, -3.20) +( 1.00, 0.00) ( 2.40, 1.80) ( -4.00, -5.00) ( 0.00, -3.00) +( 0.00, 1.00) ( -1.80, 2.40) ( 0.00, -4.00) ( 4.00, -5.00) : End of B diff --git a/simple_examples/data/g02bjje.d b/simple_examples/data/g02bjje.d new file mode 100644 index 0000000..eaa8921 --- /dev/null +++ b/simple_examples/data/g02bjje.d @@ -0,0 +1,10 @@ +G02BJF Example Program Data +5 4 3 :: N, M, NVARS + 3.0 3.0 1.0 2.0 + 6.0 4.0 -1.0 4.0 + 9.0 0.0 5.0 9.0 +12.0 2.0 0.0 0.0 +-1.0 5.0 4.0 12.0 :: End of X + 1 1 0 1 :: MISS +-1.0 0.0 0.0 0.0 :: XMISS +4 1 2 :: KVAR diff --git a/simple_examples/data/g02daje.d b/simple_examples/data/g02daje.d new file mode 100644 index 0000000..4e844ac --- /dev/null +++ b/simple_examples/data/g02daje.d @@ -0,0 +1,15 @@ +G02DAJ Example Program Data +12 4 'U' 'M' +1.0 0.0 0.0 0.0 33.63 +0.0 0.0 0.0 1.0 39.62 +0.0 1.0 0.0 0.0 38.18 +0.0 0.0 1.0 0.0 41.46 +0.0 0.0 0.0 1.0 38.02 +0.0 1.0 0.0 0.0 35.83 +0.0 0.0 0.0 1.0 35.99 +1.0 0.0 0.0 0.0 36.58 +0.0 0.0 1.0 0.0 42.92 +1.0 0.0 0.0 0.0 37.80 +0.0 0.0 1.0 0.0 40.43 +0.0 1.0 0.0 0.0 37.89 +1 1 1 1 diff --git a/simple_examples/data/g02eeje.d b/simple_examples/data/g02eeje.d new file mode 100644 index 0000000..b0c03a7 --- /dev/null +++ b/simple_examples/data/g02eeje.d @@ -0,0 +1,24 @@ +G02EEF Example Program Data + 20 6 'M' 'U' 2.0 :: N,M,MEAN,WEIGHT,FIN + 0.0 1125.0 232.0 7160.0 85.9 8905.0 1.5563 + 7.0 920.0 268.0 8804.0 86.5 7388.0 0.8976 + 15.0 835.0 271.0 8108.0 85.2 5348.0 0.7482 + 22.0 1000.0 237.0 6370.0 83.8 8056.0 0.7160 + 29.0 1150.0 192.0 6441.0 82.1 6960.0 0.3010 + 37.0 990.0 202.0 5154.0 79.2 5690.0 0.3617 + 44.0 840.0 184.0 5896.0 81.2 6932.0 0.1139 + 58.0 650.0 200.0 5336.0 80.6 5400.0 0.1139 + 65.0 640.0 180.0 5041.0 78.4 3177.0 -0.2218 + 72.0 583.0 165.0 5012.0 79.3 4461.0 -0.1549 + 80.0 570.0 151.0 4825.0 78.7 3901.0 0.0000 + 86.0 570.0 171.0 4391.0 78.0 5002.0 0.0000 + 93.0 510.0 243.0 4320.0 72.3 4665.0 -0.0969 + 100.0 555.0 147.0 3709.0 74.9 4642.0 -0.2218 + 107.0 460.0 286.0 3969.0 74.4 4840.0 -0.3979 + 122.0 275.0 198.0 3558.0 72.5 4479.0 -0.1549 + 129.0 510.0 196.0 4361.0 57.7 4200.0 -0.2218 + 151.0 165.0 210.0 3301.0 71.8 3410.0 -0.3979 + 171.0 244.0 327.0 2964.0 72.5 3360.0 -0.5229 + 220.0 79.0 334.0 2777.0 71.9 2599.0 -0.0458 :: End of X,Y + 0 1 1 1 1 2 :: ISX + 'DAY' 'BOD' 'TKN' 'TS ' 'TVS' 'COD' :: VNAME diff --git a/simple_examples/data/g02maje.d b/simple_examples/data/g02maje.d new file mode 100644 index 0000000..b21e21c --- /dev/null +++ b/simple_examples/data/g02maje.d @@ -0,0 +1,23 @@ +G02MAJ Example Program Data +20 6 :: N,M +1 3 1 6 0 :: MTYPE,PRED,PREY,MNSTEP,LISX +10.28 1.77 9.69 15.58 8.23 10.44 -46.47 +9.08 8.99 11.53 6.57 15.89 12.58 -35.80 +17.98 13.10 1.04 10.45 10.12 16.68 -129.22 +14.82 13.79 12.23 7.00 8.14 7.79 -42.44 +17.53 9.41 6.24 3.75 13.12 17.08 -73.51 +7.78 10.38 9.83 2.58 10.13 4.25 -26.61 +11.95 21.71 8.83 11.00 12.59 10.52 -63.90 +14.60 10.09 -2.70 9.89 14.67 6.49 -76.73 +3.63 9.07 12.59 14.09 9.06 8.19 -32.64 +6.35 9.79 9.40 12.79 8.38 16.79 -83.29 +4.66 3.55 16.82 13.83 21.39 13.88 -16.31 +8.32 14.04 17.17 7.93 7.39 -1.09 -5.82 +10.86 13.68 5.75 10.44 10.36 10.06 -47.75 +4.76 4.92 17.83 2.90 7.58 11.97 18.38 +5.05 10.41 9.89 9.04 7.90 13.12 -54.71 +5.41 9.32 5.27 15.53 5.06 19.84 -55.62 +9.77 2.37 9.54 20.23 9.33 8.82 -45.28 +14.28 4.34 14.23 14.95 18.16 11.03 -22.76 +10.17 6.80 3.17 8.57 16.07 15.93 -104.32 +5.39 2.67 6.37 13.56 10.68 7.35 -55.94 :: End of D, Y diff --git a/simple_examples/data/g03gaje.d b/simple_examples/data/g03gaje.d new file mode 100644 index 0000000..ca1c97f --- /dev/null +++ b/simple_examples/data/g03gaje.d @@ -0,0 +1,56 @@ +G03GAF Example Program Data +25 4 4 : N M IP +2 : NG +2 : SOPT +2 : POPT +15 : NITER +2.7 3.2 4.5 4.8 +3.9 3.8 5.9 6.2 +4.8 4.1 6.8 5.5 +3.1 3.5 4.3 4.6 +3.4 3.7 5.1 5.6 +3.1 3.4 4.1 4.7 +4.6 4.4 6.6 6.1 +3.1 3.3 4.0 4.9 +3.8 3.7 4.7 4.9 +5.2 4.9 8.2 6.9 +3.9 3.8 5.2 5.4 +4.1 4.0 5.6 5.6 +5.7 5.1 7.0 6.3 +3.0 3.2 4.5 5.0 +2.9 3.3 4.5 5.1 +3.4 3.3 4.4 5.0 +4.0 4.2 5.2 5.4 +3.0 3.0 4.6 5.0 +4.0 4.1 5.9 5.8 +3.0 3.2 4.4 5.1 +3.6 3.6 5.3 5.4 +3.1 3.2 4.6 5.0 +3.2 3.3 5.4 5.3 +3.0 3.4 4.2 4.7 +3.8 4.0 6.9 6.7 : X +1.0 0.0 +1.0 0.0 +1.0 0.0 +1.0 0.0 +1.0 0.0 +1.0 0.0 +1.0 0.0 +1.0 0.0 +1.0 0.0 +1.0 0.0 +1.0 0.0 +1.0 0.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 : P diff --git a/simple_examples/data/g05kfje.d b/simple_examples/data/g05kfje.d new file mode 100644 index 0000000..b55cba0 --- /dev/null +++ b/simple_examples/data/g05kfje.d @@ -0,0 +1,3 @@ +G05KFF Example Program Data +1 1 1762543 :: GENID,SUBID,SEED(1) +5 :: N diff --git a/simple_examples/data/g13naje.d b/simple_examples/data/g13naje.d new file mode 100644 index 0000000..4da5b32 --- /dev/null +++ b/simple_examples/data/g13naje.d @@ -0,0 +1,14 @@ +G13NAJ Example Program Data +100 :: N +0.00 0.78 -0.02 0.17 0.04 -1.23 0.24 1.70 0.77 0.06 +0.67 0.94 1.99 2.64 2.26 3.72 3.14 2.28 3.78 0.83 +2.80 1.66 1.93 2.71 2.97 3.04 2.29 3.71 1.69 2.76 +1.96 3.17 1.04 1.50 1.12 1.11 1.00 1.84 1.78 2.39 +1.85 0.62 2.16 0.78 1.70 0.63 1.79 1.21 2.20 -1.34 +0.04 -0.14 2.78 1.83 0.98 0.19 0.57 -1.41 2.05 1.17 +0.44 2.32 0.67 0.73 1.17 -0.34 2.95 1.08 2.16 2.27 +-0.14 -0.24 0.27 1.71 -0.04 -1.03 -0.12 -0.67 1.15 -1.10 +-1.37 0.59 0.44 0.63 -0.06 -0.62 0.39 -2.63 -1.63 -0.42 +-0.73 0.85 0.26 0.48 -0.26 -1.77 -1.53 -1.39 1.68 0.43 :: End of Y +1 1 4.6 2 :: CTYPE,IPARAM,BETA,MINSS +1.0 :: PARAM(1) diff --git a/simple_examples/data/m01ccje.d b/simple_examples/data/m01ccje.d new file mode 100644 index 0000000..3a946ab --- /dev/null +++ b/simple_examples/data/m01ccje.d @@ -0,0 +1,13 @@ +M01CCF Example Program Data +11 +A02AAF 289 +A02ABF 523 +A02ACF 531 +C02ADF 169 +C02AEF 599 +C05AUF 1351 +C05AVF 240 +C05AWF 136 +C05AXF 211 +C05AYF 183 +C05AZF 2181 diff --git a/simple_examples/data/s14abje.d b/simple_examples/data/s14abje.d new file mode 100644 index 0000000..083a4f4 --- /dev/null +++ b/simple_examples/data/s14abje.d @@ -0,0 +1,10 @@ +S14ABF Example Program Data + 1.0 + 1.25 + 1.5 + 1.75 + 2.0 + 5.0 + 10.0 + 20.0 + 1000.0 diff --git a/simple_examples/data/s14acje.d b/simple_examples/data/s14acje.d new file mode 100644 index 0000000..64a16c9 --- /dev/null +++ b/simple_examples/data/s14acje.d @@ -0,0 +1,5 @@ +S14ACJ Example Program Data +0.1 +0.5 +3.6 +8.0 diff --git a/simple_examples/data/s14afje.d b/simple_examples/data/s14afje.d new file mode 100644 index 0000000..f658cc5 --- /dev/null +++ b/simple_examples/data/s14afje.d @@ -0,0 +1,2 @@ +S14AFJ Example Program Data +-1.5 2.5 1 : Values of Z and K diff --git a/simple_examples/data/s17dcje.d b/simple_examples/data/s17dcje.d new file mode 100644 index 0000000..fa0d57f --- /dev/null +++ b/simple_examples/data/s17dcje.d @@ -0,0 +1,6 @@ +S17DCJ Example Program Data +0.00 0.3 0.4 'U' +2.30 2.0 0.0 'U' +2.12 -1.0 0.0 'U' +1.58 -2.3 5.6 'U' +1.58 -2.3 5.6 'S' diff --git a/simple_examples/data/s17dgje.d b/simple_examples/data/s17dgje.d new file mode 100644 index 0000000..3e62c29 --- /dev/null +++ b/simple_examples/data/s17dgje.d @@ -0,0 +1,6 @@ +S17DGF Example Program Data + 'F' ( 0.3, 0.4) 'U' + 'F' ( 0.2, 0.0) 'U' + 'F' ( 1.1, -6.6) 'U' + 'F' ( 1.1, -6.6) 'S' + 'D' (-1.0, 0.0) 'U' diff --git a/simple_examples/data/s30aaje.d b/simple_examples/data/s30aaje.d new file mode 100644 index 0000000..0248da1 --- /dev/null +++ b/simple_examples/data/s30aaje.d @@ -0,0 +1,9 @@ +S30AAJ Example Program Data +'C' : Call = 'C', Put = 'P' +55.0 0.3 0.1 0.0 : S, SIGMA, R, Q +3 2 : M, N +58.0 +60.0 +62.0 : X(I), I = 1,2,...M +0.7 +0.8 : T(I), I = 1,2,...N diff --git a/simple_examples/data/s30acje.d b/simple_examples/data/s30acje.d new file mode 100644 index 0000000..48117a7 --- /dev/null +++ b/simple_examples/data/s30acje.d @@ -0,0 +1,9 @@ +S30ACJ Example Program Data +'C' : Call = 'C', Put = 'P' +5 1 : Values of n and mode + +4.14 3.89 5.39 5.14 5.04 : p +268.0 268.0 268.0 268.5 269.0 : k +267.5 267.5 267.5 267.5 267.5 : s0 +0.00274 0.00274 0.0164 0.0164 0.0164 : t +0.0166 0.0166 0.0166 0.0166 0.0166 : r diff --git a/simple_examples/data/x03aaje.d b/simple_examples/data/x03aaje.d new file mode 100644 index 0000000..1254b78 --- /dev/null +++ b/simple_examples/data/x03aaje.d @@ -0,0 +1,5 @@ +X03AAJ Example Program Data + -2 -3 7 + 2 -5 3 + -9 1 0 + 8 -4 -2 diff --git a/simple_examples/source/int32/A00AAJE.java b/simple_examples/source/int32/A00AAJE.java new file mode 100644 index 0000000..65b6c18 --- /dev/null +++ b/simple_examples/source/int32/A00AAJE.java @@ -0,0 +1,16 @@ +import com.nag.routines.A00.A00AA; + +/** + * A00AA example program text. + */ +public class A00AAJE { + + public static void main(String[] args) { + A00AA a00aa = new A00AA(); + + System.out.println(" A00AAJ Example Program Results\n"); + a00aa.eval(); + + } + +} diff --git a/simple_examples/source/int32/A00ACJE.java b/simple_examples/source/int32/A00ACJE.java new file mode 100644 index 0000000..7f44ba3 --- /dev/null +++ b/simple_examples/source/int32/A00ACJE.java @@ -0,0 +1,29 @@ +import com.nag.routines.A00.A00AC; + +/** + * A00AC example program text. + * @author Mo + */ +public class A00ACJE { + + public static void main(String[] args) { + A00AC a00ac = new A00AC(); + boolean lmok; + + System.out.println(" A00ACJ Example Program Results\n"); + System.out.println(); + + a00ac.eval(); + + lmok = a00ac.eval(); + + if (lmok) { + System.out.println("A valid licence key is available"); + } + else { + System.out.println("No valid licence key was found"); + } + + } + +} diff --git a/simple_examples/source/int32/A00ADJE.java b/simple_examples/source/int32/A00ADJE.java new file mode 100644 index 0000000..139c8b9 --- /dev/null +++ b/simple_examples/source/int32/A00ADJE.java @@ -0,0 +1,107 @@ +import com.nag.routines.A00.A00AD; +import com.nag.routines.X05.X05AA; +import java.util.Arrays; + +/** + * A00AD example program text. + */ +public class A00ADJE { + + public static void main(String[] args) { + + A00AD a00ad = new A00AD(); + X05AA x05aa = new X05AA(); + int i, mkmaj, mkmin; + boolean licval; + String fcomp, hdware, impl, opsys, pcode, prec, vend; + int[] itime = new int[7]; + + // Instantiate arguments + mkmaj = 0; + mkmin = 0; + licval = false; + + // Strings must be length expected by Fortran + fcomp = getBlankString(80); + hdware = getBlankString(80); + impl = getBlankString(80); + opsys = getBlankString(80); + pcode = getBlankString(80); + prec = getBlankString(80); + vend = getBlankString(80); + + System.out.println(" A00ADJ Example Program Results\n"); + + a00ad.eval(impl, prec, pcode, mkmaj, mkmin, hdware, opsys, fcomp, vend, licval); + + // Output scalars must be retrieved manually + impl = a00ad.getIMPL(); + prec = a00ad.getPREC(); + pcode = a00ad.getPCODE(); + mkmaj = a00ad.getMKMAJ(); + mkmin = a00ad.getMKMIN(); + hdware = a00ad.getHDWARE(); + opsys = a00ad.getOPSYS(); + fcomp = a00ad.getFCOMP(); + vend = a00ad.getVEND(); + licval = a00ad.getLICVAL(); + + // Print implementation details + + System.out.println("*** Start of NAG Library implementation details ***"); + System.out.println(); + System.out.println("Implementation title: " + impl.trim()); + System.out.println(" Precision: " + prec.trim()); + System.out.println(" Product code: " + pcode.trim()); + + if (mkmin < 10) { + System.out.printf(" Mark: %2d.%1d\n", mkmaj, mkmin); + } + else { + System.out.printf(" Mark: %2d.%2d\n", mkmaj, mkmin); + } + + if (vend.trim().equals("(self-contained)")) { + System.out.println(" Vendor Library: None"); + } + else { + System.out.println(" Vendor Library: " + vend.trim()); + } + + System.out.println("Applicable to:"); + System.out.println(" hardware: " + hdware.trim()); + System.out.println(" operating system: " + opsys.trim()); + System.out.println(" Fortran compiler: " + fcomp.trim()); + System.out.println("and compatible systems."); + + if (!licval) { + System.out.println(" Licence query: Unsuccessful"); + } + else { + System.out.println(" Licence query: Successful"); + } + + System.out.println(); + System.out.println("*** End of NAG Library implementation details ***"); + + } + + /** + * Returns a new String, filled with spaces to the specified length. + * + * @param len the required length of the String + * @return a blank String of the specified length + */ + public static String getBlankString(int len) { + + if (len > 0) { + char[] arr = new char[len]; + Arrays.fill(arr, ' '); + return new String(arr); + } + + return ""; + + } + +} diff --git a/simple_examples/source/int32/C02AAJE.java b/simple_examples/source/int32/C02AAJE.java new file mode 100644 index 0000000..1abc528 --- /dev/null +++ b/simple_examples/source/int32/C02AAJE.java @@ -0,0 +1,174 @@ +import com.nag.routines.C02.C02AA; +import com.nag.routines.Routine; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X02.X02AL; +import com.nag.types.NAGComplex; +import java.util.Arrays; + +/** + * C02AA example program text. + * @author joed + * @since 27.1.0.0 + */ +public class C02AAJE { + + public static void main(String[] args) { + + System.out.println(" C02AAJ Example Program Results"); + + Routine.setComplex(new NAGComplex()); + exampleBasic(); + examplePolishing(); + + System.out.println(); + + } + + /** Demonstrate a basic problem. */ + public static void exampleBasic() { + + C02AA c02aa = new C02AA(); + int ifail, itmax, n, polish; + NAGComplex[] a, z; + double[] berr, cond; + int[] conv; + + System.out.println(); + System.out.println("Example 1: Basic Problem"); + System.out.println(); + + // Set polynomial degree and instantiate arrays + n = 5; + a = new NAGComplex[n+1]; + berr = new double[n]; + cond = new double[n]; + conv = new int[n]; + z = NAGComplex.createArray(n); + + // Set polynomial coefficients + a[0] = new NAGComplex(5.0, 6.0); + a[1] = new NAGComplex(30.0, 20.0); + a[2] = new NAGComplex(-0.2, -6.0); + a[3] = new NAGComplex(50.0, 100000.0); + a[4] = new NAGComplex(-2.0, 40.0); + a[5] = new NAGComplex(10.0, 1.0); + + // Find roots of the polynomial + itmax = 30; + polish = 1; + ifail = 0; + c02aa.eval(a, n, itmax, polish, z, berr, cond, conv, ifail); + + // Print output + System.out.println(" i z conv berr cond "); + System.out.println(" ---------------------------------------------------"); + for (int i = 0; i < n; i++) { + System.out.printf(" %2d %9.2E, %9.2E %3d %9.2E %9.2E\n", i+1, + z[i].getRe(), z[i].getIm(), conv[i], berr[i], cond[i]); + } + + } + + /** Compare polishing processes on a Wilkinson-style polynomial. */ + public static void examplePolishing() { + + C02AA c02aa = new C02AA(); + X02AJ x02aj = new X02AJ(); + X02AL x02al = new X02AL(); + NAGComplex pz; + double delta, eps, err, fwderr, maxfwderr, maxrelerr, relerr, rmax; + int ifail, itmax, k, n, polish; + NAGComplex[] a, z, zact; + double[] berr, cond; + int[] conv; + boolean[] matched; + + System.out.println(); + System.out.println("Example 2: Polishing Processes"); + System.out.println(); + + // Set polynomial degree and instantiate + n = 10; + a = new NAGComplex[n+1]; + berr = new double[n]; + cond = new double[n]; + conv = new int[n]; + matched = new boolean[n]; + z = new NAGComplex[n]; + zact = new NAGComplex[n]; + + // Set known roots and (instantiate z) + for (int i = 0; i < n; i++) { + zact[i] = new NAGComplex((double) i+1, 0.0); + z[i] = new NAGComplex(); + } + + // Multiply out (z-1)(z-2)...(z-n) for coefficients + for (int i = 0; i < n; i++) { + a[i] = new NAGComplex(); + } + a[n] = new NAGComplex(1.0, 0.0); + for (int i = 0; i < n; i++) { + for (int j = 0; j < n; j++) { + a[j] = a[j+1].subtract(a[j].multiply(zact[i])); + } + a[n] = a[n].negate().multiply(zact[i]); + } + + System.out.println(" polish relerr fwderr "); + System.out.println(" ----------------------------"); + + itmax = 30; + eps = x02aj.eval(); + rmax = x02al.eval(); + + for (polish = 0; polish <= 2; polish++) { + + // Find roots + ifail = 0; + c02aa.eval(a, n, itmax, polish, z, berr, cond, conv, ifail); + + /* Calculate the maximum relative errors of the roots, and the maximum + * forward error evaluating the polynomial at those roots. Errors are + * capped at machine precision. */ + maxrelerr = maxfwderr = eps; + Arrays.fill(matched, false); + + for (int i = 0; i < n; i++) { + + // Evaluate polynomial at this root + pz = a[0].clone(); + for (int j = 1; j <= n; j++) { + pz = z[i].multiply(pz).add(a[j]); + } + + // Match to an expected root + k = 0; + err = rmax; + for (int j = 0; j < n; j++) { + if (!matched[j]) { + delta = z[i].subtract(zact[j]).abs(); + if (delta <= err) { + err = delta; + k = j; + } + } + } + + // Mark as matched and update max errors + matched[k] = true; + relerr = err/zact[k].abs(); + fwderr = pz.abs(); + maxrelerr = Math.max(maxrelerr, relerr); + maxfwderr = Math.max(maxfwderr, fwderr); + + } + + // Print output + System.out.printf(" %2d %10.2E%10.2E\n", polish, maxrelerr, maxfwderr); + + } + + } + +} diff --git a/simple_examples/source/int32/C02ABJE.java b/simple_examples/source/int32/C02ABJE.java new file mode 100644 index 0000000..fad5ebb --- /dev/null +++ b/simple_examples/source/int32/C02ABJE.java @@ -0,0 +1,217 @@ +import com.nag.routines.C02.C02AB; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X02.X02AL; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * C02AB + */ +public class C02ABJE { + + public static void main(String[] args) { + + final boolean polish_example = false; + + Routine.setComplex(new NAGComplex()); + + System.out.println(" C02ABJ Example Program Results"); + + ex1_basic(args); + if (polish_example) { + ex2_polishing(args); + } + } + + public static void ex1_basic(String[] args) { + + int i, ifail, itmax, n = 0, polish; + + NAGComplex[] z = null; + double[] a = null, berr = null, cond = null; + int[] conv = null; + + System.out.println("\n Basic Problem\n"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading in data file + String line = reader.readLine(); + line = reader.readLine(); + line = reader.readLine(); + + // Read polynomial degree and allocate + line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + a = new double[n + 1]; + berr = new double[n]; + cond = new double[n]; + conv = new int[n]; + z = NAGComplex.createArray(n); + + // Read polynomial coefficients + for (i = 0; i <= n; i++) { + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + a[i] = Double.parseDouble(sVal[0]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Find roots of the polynomial + itmax = 30; + polish = 1; + ifail = 0; + C02AB c02ab = new C02AB(); + c02ab.eval(a ,n, itmax, polish, z, berr, cond, conv, ifail); + + // Print output + System.out.println(" i z conv berr cond"); + System.out.println(" -----------------------------------------------------"); + for (i = 0; i < n; i++) { + System.out.printf(" %2d (%10.2E, %9.2E) %3d %9.2E %9.2E\n", i+1, z[i].getRe(), z[i].getIm(), conv[i], berr[i], cond[i]); + } + } + + public static void ex2_polishing(String[] args) { + NAGComplex pz = new NAGComplex(); + double delta, eps, err, fwderr, maxfwderr, maxrelerr, relerr, rmax; + int i, ifail, itmax, j, k, n = 0, polish; + + NAGComplex[] z = null, zact = null; + double[] a = null, berr = null, cond = null; + int[] conv = null; + boolean[] matched = null; + + System.out.println("\n Polishing Processes\n"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading and previous example in data file + for (i = 0; i <= 12; i++) { + reader.readLine(); + } + + // Read polynomial degree and allocate + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + + a = new double[n + 1]; + berr = new double[n]; + cond = new double[n]; + conv = new int[n]; + matched = new boolean[n]; + z = NAGComplex.createArray(n); + zact = NAGComplex.createArray(n); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Set known roots + for (i = 0; i < n; i++) { + zact[i] = new NAGComplex((double) (i + 1), 0.0); + } + + // Multiply out (z-1)(z-2)...(z-n) for coefficients + for (i = 0; i < n; i++) { + a[i] = 0.0; + } + a[n] = 1.0; + for (i = 0; i < n; i++) { + for (j = 0; j < n; j++) { + a[j] = a[j + 1] - a[j] * zact[i].getRe(); + } + a[n] = -a[n] * zact[i].getRe(); + } + + System.out.println(" polish relerr fwderr"); + System.out.println(" ----------------------------"); + + // Use different polish modes + X02AJ x02aj = new X02AJ(); + X02AL x02al = new X02AL(); + for (polish = 0; polish <= 2; polish++) { + + itmax = 30; + eps = x02aj.eval(); + rmax = x02al.eval(); + + // Find roots + ifail = 0; + C02AB c02ab = new C02AB(); + c02ab.eval(a, n , itmax, polish, z, berr, cond, conv, ifail); + + // Calculate the maximum relative errors of the roots, and the maximum + // forward error evaluating the polynomial at those roots. Errors are + // capped at machine precision. + maxrelerr = eps; + maxfwderr = eps; + Arrays.fill(matched, false); + + for (i = 0; i < n; i++) { + // Evaluate polynomial at this root + pz = new NAGComplex(a[0], 0.0); + for (j = 1; j <= n; j++) { + pz = z[i].multiply(pz).add(new NAGComplex(a[j], 0.0)); + } + + // Match to an expected root + k = 0; + err = rmax; + for (j = 0; j < n; j++) { + if (!matched[j]) { + delta = z[i].subtract(zact[j]).abs(); + if (delta <= err) { + err = delta; + k = j; + } + } + } + + // Mark as matched and update max errors + matched[k] = true; + relerr = err/zact[k].abs(); + fwderr = pz.abs(); + maxrelerr = Math.max(maxrelerr, relerr); + maxfwderr = Math.max(maxfwderr, fwderr); + } + + // Print output + System.out.printf(" %2d %10.2E%10.2E\n", polish, maxrelerr, maxfwderr); + + } + } +} diff --git a/simple_examples/source/int32/C02AFJE.java b/simple_examples/source/int32/C02AFJE.java new file mode 100644 index 0000000..6043be7 --- /dev/null +++ b/simple_examples/source/int32/C02AFJE.java @@ -0,0 +1,271 @@ +import com.nag.routines.C02.C02AF; +import com.nag.routines.A02.A02AB; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X02.X02AL; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * C02AF + */ +public class C02AFJE { + + public static final boolean scal = true; + + public static void main(String[] args) { + + System.out.println(" C02AFJ Example Program Results"); + + ex1(args); + + ex2(args); + } + + public static void ex1(String[] args) { + + int i, ifail, n = 0; + + double[][] a = null, z = null; + double[] w = null; + + System.out.println("\n\n Example 1"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading in data file + reader.readLine(); + reader.readLine(); + reader.readLine(); + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + + a = new double[2][n + 1]; + w = new double[4 * (n + 1)]; + z = new double[2][n]; + + for (i = 0; i <= n; i++) { + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + a[0][i] = Double.parseDouble(sVal[0]); + a[1][i] = Double.parseDouble(sVal[1]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = 0; + C02AF c02af = new C02AF(); + double[] a1d = convert2DTo1D(a); + double[] z1d = convert2DTo1D(z); + c02af.eval(a1d, n, scal, z1d, w, ifail); + + z = convert1DTo2D(z1d, 2); + + System.out.println(); + System.out.printf(" Degree of polynomial = %4d\n", n); + System.out.println(); + System.out.println(" Computed roots of polynomial"); + System.out.println(); + + for (i = 0; i < n; i++) { + System.out.printf(" z = %12.4E%+12.4E*i\n", z[0][i], z[1][i]); + } + + } + + public static void ex2(String[] args) { + + double deltac, deltai, di, eps, epsbar, f, r1, r2, r3, rmax; + int i, ifail, j, jmin = 0, n = 0; + + double[][] a = null, abar = null, z = null, zbar = null; + double[] r = null, w = null; + int[] m = null; + + System.out.println("\n\n Example 2"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading and previous example in data file + for (i = 0; i < 12; i++) { + reader.readLine(); + } + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + a = new double[2][n + 1]; + abar = new double[2][n + 1]; + r = new double[n]; + w = new double[4 * (n + 1)]; + z = new double[2][n]; + zbar = new double[2][n]; + m = new int[n]; + + // Read in the coefficients of the original polynomial. + for (i = 0; i <= n; i++) { + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + a[0][i] = Double.parseDouble(sVal[0]); + a[1][i] = Double.parseDouble(sVal[1]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Compute the roots of the original polynomial. + ifail = 0; + C02AF c02af = new C02AF(); + double[] a1d = convert2DTo1D(a); + double[] z1d = convert2DTo1D(z); + c02af.eval(a1d, n, scal, z1d, w, ifail); + + z = convert1DTo2D(z1d, 2); + + // Form the coefficients of the perturbed polynomial. + X02AJ x02aj = new X02AJ(); + eps = x02aj.eval(); + epsbar = 3.0 * eps; + + for (i = 0; i <= n; i++) { + if (a[0][i] != 0.0E0) { + f = 1.0E0 + epsbar; + epsbar = -epsbar; + abar[0][i] = f * a[0][i]; + + if (a[1][i] != 0.0E0) { + abar[1][i] = f * a[1][i]; + } else { + abar[1][i] = 0.0E0; + } + + } else { + + if (a[1][i] != 0.0E0) { + f = 1.0E0 + epsbar; + epsbar = -epsbar; + abar[1][i] = f * a[1][i]; + } else { + abar[1][i] = 0.0E0; + } + } + } + + // Compute the roots of the perturbed polynomial. + ifail = 0; + double[] abar1d = convert2DTo1D(abar); + double[] zbar1d = convert2DTo1D(zbar); + c02af.eval(abar1d, n, scal, zbar1d, w, ifail); + + zbar = convert1DTo2D(zbar1d, 2); + + // Perform error analysis. + + // Initialize markers to 0 (unmarked). + Arrays.fill(m, 0); + X02AL x02al = new X02AL(); + rmax = x02al.eval(); + + // Loop over all unperturbed roots (stored in Z). + A02AB a02ab = new A02AB(); + for (i = 0; i < n; i++) { + deltai = rmax; + r1 = a02ab.eval(z[0][i], z[1][i]); + + // Loop over all perturbed roots (stored in ZBAR). + for (j = 0; j < n; j++) { + // Compare the current unperturbed root to all unmarked + // perturbed roots. + + if (m[j] == 0) { + r2 = a02ab.eval(zbar[0][j], zbar[1][j]); + deltac = Math.abs(r1 - r2); + + if (deltac < deltai) { + deltai = deltac; + jmin = j; + } + } + } + + // Mark the selected perturbed root. + m[jmin] = 1; + + // Compute the relative error. + if (r1 != 0.0E0) { + r3 = a02ab.eval(zbar[0][jmin], zbar[1][jmin]); + di = Math.min(r1, r3); + r[i] = Math.max(deltai / Math.max(di, deltai / rmax), eps); + } else { + r[i] = 0.0E0; + } + } + + System.out.println(); + System.out.printf(" Degree of polynomial = %4d\n", n); + System.out.println(); + System.out.println(" Computed roots of polynomial Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < n; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", z[0][i], z[1][i], r[i]); + } + + } + + public static double[] convert2DTo1D(double[][] a) { + double[] b = new double[a.length * a[0].length]; + int n = a.length; + + for (int i = 0; i < a.length; i++) { + for (int j = 0; j < a[0].length; j++) { + b[i + j*n] = a[i][j]; + } + } + + return b; + } + + public static double[][] convert1DTo2D(double[] a, int n) { + double[][] b = new double[n][a.length / n]; + + for (int i = 0; i < b.length; i++) { + for (int j = 0; j < b[0].length; j++) { + b[i][j] = a[i + j*n]; + } + } + + return b; + } +} diff --git a/simple_examples/source/int32/C02AGJE.java b/simple_examples/source/int32/C02AGJE.java new file mode 100644 index 0000000..c58e524 --- /dev/null +++ b/simple_examples/source/int32/C02AGJE.java @@ -0,0 +1,262 @@ +import com.nag.routines.C02.C02AG; +import com.nag.routines.A02.A02AB; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X02.X02AL; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * C02AG + */ +public class C02AGJE { + + public static final boolean scal = true; + + public static void main(String[] args) { + + System.out.println(" C02AGJ Example Program Results"); + + ex1(args); + + ex2(args); + } + + public static void ex1(String[] args) { + double zi, zr; + int i, ifail, n = 0, nroot; + + double[] a = null, w = null; + double[][] z = null; + + System.out.println("\n\n Example 1\n"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading in data file + reader.readLine(); + reader.readLine(); + reader.readLine(); + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + a = new double[n + 1]; + w = new double[2 * (n + 1)]; + z = new double[2][n]; + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i <= n; i++) { + a[i] = Double.parseDouble(sVal[i]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + System.out.println(); + System.out.printf(" Degree of polynomial = %4d\n", n); + System.out.println(); + + ifail = 0; + C02AG c02ag = new C02AG(); + double[] z1d = convert2DTo1D(z); + c02ag.eval(a, n, scal, z1d, w, ifail); + + z = convert1DTo2D(z1d, 2); + + System.out.println(" Computed roots of polynomial"); + System.out.println(); + + nroot = 0; + + while (nroot < n) { + zr = z[0][nroot]; + zi = z[1][nroot]; + if (zi == 0.0E0) { + System.out.printf(" z = %12.4E\n", zr); + nroot += 1; + } else { + System.out.printf(" z = %12.4E +/- %12.4E*i\n", zr, Math.abs(zi)); + nroot += 2; + } + } + } + + public static void ex2(String[] args) { + + double deltac, deltai, di, eps, epsbar, f, r1, r2, r3, rmax; + int i, ifail, j, jmin = 0, n = 0; + + double[] a = null, abar = null, r = null, w = null; + double[][] z = null, zbar = null; + int[] m = null; + + System.out.println("\n\n Example 2"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading and previous example in data file + for (i = 0; i < 7; i++) { + reader.readLine(); + } + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + + a = new double[n+1]; + abar = new double[n+1]; + r = new double[n]; + w = new double[2 * (n+1)]; + z = new double[2][n]; + zbar = new double[2][n]; + m = new int[n]; + + // Read in the coefficients of the original polynomial. + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i <= n; i++) { + a[i] = Double.parseDouble(sVal[i]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Compute the roots of the original polynomial. + ifail = 0; + C02AG c02ag = new C02AG(); + double[] z1d = convert2DTo1D(z); + c02ag.eval(a, n, scal, z1d ,w, ifail); + + z = convert1DTo2D(z1d, 2); + + // Form the coefficients of the perturbed polynomial. + X02AJ x02aj = new X02AJ(); + eps = x02aj.eval(); + epsbar= 3.0 * eps; + + for (i = 0; i <= n; i++) { + if (a[i] != 0.0) { + f = 1.0 + epsbar; + epsbar = -epsbar; + abar[i] = f * a[i]; + } else { + abar[i] = 0.0E0; + } + } + + // Compute the roots of the perturbed polynomial. + ifail = 0; + double[] zbar1d = convert2DTo1D(zbar); + c02ag.eval(abar, n, scal, zbar1d, w, ifail); + + zbar = convert1DTo2D(zbar1d, 2); + + // Perform error analysis. + + // Initialize markers to 0 (unmarked). + Arrays.fill(m, 0); + + X02AL x02al = new X02AL(); + rmax = x02al.eval(); + + // Loop over all unperturbed roots (stored in Z). + A02AB a02ab = new A02AB(); + for (i = 0; i < n; i++) { + deltai = rmax; + r1 = a02ab.eval(z[0][i], z[1][i]); + + // Loop over all perturbed roots (stored in ZBAR). + for (j = 0; j < n; j++) { + // Compare the current unperturbed root to all unmarked + // perturbed roots. + + if (m[j] == 0) { + r2 = a02ab.eval(zbar[0][i], zbar[1][i]); + deltac = Math.abs(r1-r2); + + if (deltac < deltai) { + deltai = deltac; + jmin = j; + } + } + } + + // Mark the selected perturbed root. + m[jmin] = 1; + + // Compute the relative error. + if (r1 != 0.0E0) { + r3 = a02ab.eval(zbar[0][jmin], zbar[1][jmin]); + di = Math.min(r1, r3); + r[i] = Math.max(deltai / Math.max(di, deltai / rmax), eps); + } else { + r[i] = 0.0; + } + } + + System.out.println(); + System.out.printf(" Degree of polynomial = %4d\n", n); + System.out.println(); + System.out.println(" Computed roots of polynomial Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < n; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", z[0][i], z[1][i], r[i]); + } + } + + public static double[] convert2DTo1D(double[][] a) { + double[] b = new double[a.length * a[0].length]; + int n = a.length; + + for (int i = 0; i < a.length; i++) { + for (int j = 0; j < a[0].length; j++) { + b[i + j * n] = a[i][j]; + } + } + + return b; + } + + public static double[][] convert1DTo2D(double[] a, int n) { + double[][] b = new double[n][a.length / n]; + + for (int i = 0; i < b.length; i++) { + for (int j = 0; j < b[0].length; j++) { + b[i][j] = a[i + j * n]; + } + } + + return b; + } +} diff --git a/simple_examples/source/int32/C02AHJE.java b/simple_examples/source/int32/C02AHJE.java new file mode 100644 index 0000000..b1e12cd --- /dev/null +++ b/simple_examples/source/int32/C02AHJE.java @@ -0,0 +1,61 @@ +import com.nag.routines.C02.C02AH; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AH + */ +public class C02AHJE { + + public static void main(String[] args) { + + double ai = 0, ar = 0, bi = 0, br = 0, ci = 0, cr = 0; + int ifail; + + double[] zlg = new double[2]; + double[] zsm = new double[2]; + + System.out.println(" C02AHJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + ar = Double.parseDouble(sVal[0]); + ai = Double.parseDouble(sVal[1]); + br = Double.parseDouble(sVal[2]); + bi = Double.parseDouble(sVal[3]); + cr = Double.parseDouble(sVal[4]); + ci = Double.parseDouble(sVal[5]); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = -1; + C02AH c02ah = new C02AH(); + c02ah.eval(ar, ai, br, bi, cr, ci, zsm, zlg, ifail); + ifail = c02ah.getIFAIL(); + + if (ifail == 0) { + System.out.println("\n Roots of quadratic equation\n"); + System.out.printf(" z = %12.4E%+14.4E*i\n", zsm[0], zsm[1]); + System.out.printf(" z = %12.4E%+14.4E*i\n", zlg[0], zlg[1]); + } + } +} diff --git a/simple_examples/source/int32/C02AJJE.java b/simple_examples/source/int32/C02AJJE.java new file mode 100644 index 0000000..64e3a5e --- /dev/null +++ b/simple_examples/source/int32/C02AJJE.java @@ -0,0 +1,65 @@ +import com.nag.routines.C02.C02AJ; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AJ + */ +public class C02AJJE { + + public static void main(String[] args) { + + double a = 0, b = 0, c = 0; + int ifail; + + double[] zlg = new double[2]; + double[] zsm = new double[2]; + + System.out.println(" C02AJJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + a = Double.parseDouble(sVal[0]); + b = Double.parseDouble(sVal[1]); + c = Double.parseDouble(sVal[2]); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = -1; + C02AJ c02aj = new C02AJ(); + c02aj.eval(a, b, c, zsm, zlg, ifail); + ifail = c02aj.getIFAIL(); + + if (ifail == 0) { + System.out.println("\n Roots of quadratic equation\n"); + + if (zsm[1] == 0.0E0) { + // 2 real roots. + System.out.printf(" z = %12.4E\n", zsm[0]); + System.out.printf(" z = %12.4E\n", zlg[0]); + } else { + // 2 complex roots. + System.out.printf(" z = %12.4E +/- %12.4E*i", zsm[0], Math.abs(zsm[1])); + } + } + } +} diff --git a/simple_examples/source/int32/C02AKJE.java b/simple_examples/source/int32/C02AKJE.java new file mode 100644 index 0000000..4a0579f --- /dev/null +++ b/simple_examples/source/int32/C02AKJE.java @@ -0,0 +1,62 @@ +import com.nag.routines.C02.C02AK; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AK + */ +public class C02AKJE { + + public static void main(String[] args) { + + double r = 0, s = 0, t = 0, u = 0; + int i, ifail; + + double[] errest = new double[3]; + double[] zeroi = new double[3]; + double[] zeror = new double[3]; + + System.out.println(" C02AKJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + u = Double.parseDouble(sVal[0]); + r = Double.parseDouble(sVal[1]); + s = Double.parseDouble(sVal[2]); + t = Double.parseDouble(sVal[3]); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = 0; + C02AK c02ak = new C02AK(); + c02ak.eval(u, r, s, t, zeror, zeroi, errest, ifail); + + System.out.println(); + System.out.println(" Roots of cubic equation Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < 3; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); + } + } +} diff --git a/simple_examples/source/int32/C02ALJE.java b/simple_examples/source/int32/C02ALJE.java new file mode 100644 index 0000000..4f9eac9 --- /dev/null +++ b/simple_examples/source/int32/C02ALJE.java @@ -0,0 +1,64 @@ +import com.nag.routines.C02.C02AL; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AL + */ +public class C02ALJE { + + public static void main(String[] args) { + + double a = 0, b = 0, c = 0, d = 0, e = 0; + int i, ifail; + + double[] errest = new double[4]; + double[] zeroi = new double[4]; + double[] zeror = new double[4]; + + System.out.println(" C02ALJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + e = Double.parseDouble(sVal[0]); + a = Double.parseDouble(sVal[1]); + b = Double.parseDouble(sVal[2]); + c = Double.parseDouble(sVal[3]); + d = Double.parseDouble(sVal[4]); + + } catch (FileNotFoundException e_exception) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e_exception) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e_exception.getMessage()); + } + + ifail = 0; + C02AL c02al = new C02AL(); + c02al.eval(e, a, b, c, d, zeror, zeroi, errest, ifail); + ifail = c02al.getIFAIL(); + + System.out.println(); + System.out.println(" Roots of quartic equation Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < 4; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); + } + } +} diff --git a/simple_examples/source/int32/C02AMJE.java b/simple_examples/source/int32/C02AMJE.java new file mode 100644 index 0000000..f1fffa4 --- /dev/null +++ b/simple_examples/source/int32/C02AMJE.java @@ -0,0 +1,75 @@ +import com.nag.routines.C02.C02AM; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AM + */ +public class C02AMJE { + + public static void main(String[] args) { + + Routine.setComplex(new NAGComplex()); + + NAGComplex r = null, s = null, t = null, u = null; + int i, ifail; + + double[] errest = new double[3]; + double[] zeroi = new double[3]; + double[] zeror = new double[3]; + + System.out.println(" C02AMJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine().replaceAll("[(),]", ""); + String[] sVal = line.trim().split("\\s+"); + u = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + r = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + s = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + t = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = 0; + C02AM c02am = new C02AM(); + c02am.eval(u, r, s, t, zeror, zeroi, errest, ifail); + + System.out.println(); + System.out.println(" Roots of cubic equation Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < 3; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); + } + } +} diff --git a/simple_examples/source/int32/C02ANJE.java b/simple_examples/source/int32/C02ANJE.java new file mode 100644 index 0000000..dc865e2 --- /dev/null +++ b/simple_examples/source/int32/C02ANJE.java @@ -0,0 +1,80 @@ +import com.nag.routines.C02.C02AN; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AN + */ +public class C02ANJE { + + public static void main(String[] args) { + + Routine.setComplex(new NAGComplex()); + + NAGComplex a = null, b = null, c = null, d = null, e = null; + int i, ifail; + + double[] errest = new double[4]; + double[] zeroi = new double[4]; + double[] zeror = new double[4]; + + System.out.println(" C02ANJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine().replaceAll("[(),]", ""); + String[] sVal = line.trim().split("\\s+"); + e = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + a = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + b = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + c = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + d = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + } catch (FileNotFoundException e_exception) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e_exception) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e_exception.getMessage()); + } + + ifail = 0; + C02AN c02an = new C02AN(); + c02an.eval(e, a, b, c, d, zeror, zeroi, errest, ifail); + ifail = c02an.getIFAIL(); + + System.out.println(); + System.out.println(" Roots of quartic equation Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < 4; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); + } + } +} diff --git a/simple_examples/source/int32/C05AUJE.java b/simple_examples/source/int32/C05AUJE.java new file mode 100644 index 0000000..d2b09b1 --- /dev/null +++ b/simple_examples/source/int32/C05AUJE.java @@ -0,0 +1,67 @@ +import com.nag.routines.C05.C05AU; + +/** + * C05AUJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class C05AUJE{ + + /** + * C05AUJ main program + */ + public static void main(String[] args){ + double a = 0, b = 0, eps, eta, h, x; //placeholders + int ifail; + double[] ruser; + int[] iuser; + + ruser = new double[1]; //need to initialise before passing to wrapper + iuser = new int[1]; + + System.out.println("C05AUJ Example Program Results"); + + x = 1; + h = 0.1; + eps = 0.00001; + eta = 0; + + //Instance of class f to pass to wrapper + f f1 = new f(); + + ifail = -1; + C05AU c05au = new C05AU(x, h, eps, eta, f1, a, b, iuser, ruser, ifail); + c05au.eval(); + + //update values + x = c05au.getX(); + a = c05au.getA(); + b = c05au.getB(); + ifail = c05au.getIFAIL(); + + System.out.println(); + + switch(ifail){ + case 0: + System.out.printf("Root is : \t%.5f\n", x); + System.out.printf("Interval searched is : \t[ %.5f, %.5f]\n", a, b); + break; + case 3: + case 4: + System.out.printf("Final value = %.5f\n", x); + break; + } + } + + /** + * Extends abstract class C05AU.Abstract_C05AU_F. eval() returns the value of the function at a given x. + * eval() must be implemented by the user. + * @return x - e^x + */ + public static class f extends C05AU.Abstract_C05AU_F{ + public double eval(){ + return(this.X - Math.exp(-this.X)); + } + } +} + diff --git a/simple_examples/source/int32/C05AWJE.java b/simple_examples/source/int32/C05AWJE.java new file mode 100644 index 0000000..6ea3c9f --- /dev/null +++ b/simple_examples/source/int32/C05AWJE.java @@ -0,0 +1,59 @@ +import com.nag.routines.C05.C05AW; + +public class C05AWJE{ + + public static void main(String[] args){ + double eps, eta, x; + int ifail, nfmax; + double[] ruser; + int[] iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println("C05AWJ Example Program Results"); + System.out.println(); + + boolean finished = false; + for(int i = 3; i <= 4; i++){ + eps = Math.pow(10, -i); + x = 1; + eta = 0; + nfmax = 200; + + ifail = -1; + f f1 = new f(); + C05AW c05aw = new C05AW(x, eps, eta, f1, nfmax, iuser, ruser, ifail); + c05aw.eval(); + + ifail = c05aw.getIFAIL(); + x = c05aw.getX(); + eps = c05aw.getEPS(); + + switch(ifail){ + case(0): + System.out.printf("With eps = %.2e root = %.5f\n", eps, x); + break; + case(-1): + //exit loop + finished = true; + break; + case(3): + case(4): + System.out.printf("With eps = %.2e root = %.5f\n", eps, x); + break; + } + if(finished){ + break; + } + } + } + + public static class f extends C05AW.Abstract_C05AW_F{ + public double eval(){ + return(Math.exp(-X) - X); + } + } +} + + diff --git a/simple_examples/source/int32/C05AYJE.java b/simple_examples/source/int32/C05AYJE.java new file mode 100644 index 0000000..c9ee43b --- /dev/null +++ b/simple_examples/source/int32/C05AYJE.java @@ -0,0 +1,44 @@ +import com.nag.routines.C05.C05AY; + +/** + * C05AY example program text. + */ +public class C05AYJE { + + public static void main(String[] args) { + + C05AY c05ay = new C05AY(); + OBJFUN f = new OBJFUN(); + double a = 0.0, b = 1.0, eps = 1.0e-5, eta = 0.0, x = 0.0; + int ifail = 0; + int[] iuser = new int[1]; + double[] ruser = new double[1]; + + System.out.println("C05AYJ Example Program Results"); + System.out.println(); + + c05ay.eval(a, b, eps, eta, f, x, iuser, ruser, ifail); + x = c05ay.getX(); + + switch (ifail) { + case 0: + System.out.printf("Zero at x = %12.5f\n", x); + break; + case 2: case 3: + System.out.printf("Final point = %12.5f\n", x); + break; + default: + System.out.println("Unexpected ifail = " + ifail); + } + + } + + private static class OBJFUN extends C05AY.Abstract_C05AY_F { + + public double eval() { + return Math.exp(-X) - X; + } + + } + +} diff --git a/simple_examples/source/int32/C05AZJE.java b/simple_examples/source/int32/C05AZJE.java new file mode 100644 index 0000000..7c3e27e --- /dev/null +++ b/simple_examples/source/int32/C05AZJE.java @@ -0,0 +1,65 @@ +import com.nag.routines.C05.C05AZ; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * C05AZ example program text. + */ +public class C05AZJE { + + public static void main(String[] args) { + double tolx = 0.00001, x = 0.0, y = 1.0, fx; + int ir = 0, ind = 1, ifail = -1; + double[] c = new double[17]; + boolean keepOn = true; + + + C05AZ c05az = new C05AZ(); + fx = fun(x); + int ite = 0; + + System.out.println(" C05AZJ Example Program Results\n"); + System.out.println(" Iterations\n"); + + while (keepOn) { + ++ite; + + c05az.eval(x,y,fx,tolx,ir,c,ind,ifail); + + x = c05az.getX(); + y = c05az.getY(); + tolx = c05az.getTOLX(); + ir = c05az.getIR(); + ind = c05az.getIND(); + ifail = c05az.getIFAIL(); + if (ind == 0) { + keepOn = false; + } + else { + fx = fun(x); + System.out.printf(" X = %7.5f FX = %11.4E IND = %1d\n", x, fx, ind); + } + + } + + switch (ifail) { + case 0: + System.out.println("\n Solution\n"); + System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); + break; + case 4: + case 5: + System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); + break; + default: + System.out.printf("Unexpected error ifail=%d\n",ifail); + } + + } + + private static double fun(double x) { + double res = (Math.expm1(-x) + 1) - x; + return res; + } + +} diff --git a/simple_examples/source/int32/C05BBJE.java b/simple_examples/source/int32/C05BBJE.java new file mode 100644 index 0000000..4723773 --- /dev/null +++ b/simple_examples/source/int32/C05BBJE.java @@ -0,0 +1,89 @@ +import com.nag.routines.C05.C05BB; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C05BBJ Example program text. + * @author willa + * @since 27.1.0.0 + */ +public class C05BBJE{ + + /** + * C05BBJE main program text + */ + public static void main(String[] args){ + NAGComplex w, z; + double resid = 0; + int branch = 0, ifail = 0; //placeholder + boolean offset = false; //placeholder + + //need to initialise first + z = new NAGComplex(); + w = new NAGComplex(); + + System.out.println("C05BBJ Example Program Results"); + + if(args.length != 1){ + System.out.println("Please specify path to data file as input"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + branch = Integer.parseInt(sVal[0]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + offset = Boolean.parseBoolean(sVal[0]); + + System.out.printf("Branch = %d\n", branch); + System.out.printf("Offset = %b\n", offset); + + System.out.println(); + System.out.printf("\t\tZ\t\t\tW(Z)\t\t\t\tRESID\tIFAIL\n"); + System.out.println(); + + while(true){ + line = reader.readLine(); + if(line == null){ + break; + } + sVal = line.split("\\s+"); + + z.setRe(Double.parseDouble(sVal[0])); + z.setIm(Double.parseDouble(sVal[1])); + + ifail = -1; + C05BB c05bb = new C05BB(branch, offset, z, w, resid, ifail); + c05bb.eval(); + + z = (NAGComplex) c05bb.getZ(); + w = (NAGComplex) c05bb.getW(); + resid = c05bb.getRESID(); + ifail = c05bb.getIFAIL(); + + if(ifail < 0){ + break; + } + + System.out.printf("(%.5e, %.5e)\t (%.5e, %.5e)\t %.5e\t %d\n", z.getRe(), z.getIm(), w.getRe(), w.getIm(), resid, ifail); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} diff --git a/simple_examples/source/int32/C05MBJE.java b/simple_examples/source/int32/C05MBJE.java new file mode 100644 index 0000000..9b46ff5 --- /dev/null +++ b/simple_examples/source/int32/C05MBJE.java @@ -0,0 +1,95 @@ +import com.nag.routines.C05.C05MB; +import com.nag.routines.F06.DNRM2; +import com.nag.routines.X02.X02AJ; + +/** + * C05MBJ example program text. + * + * @author joed + * @since 27.0.0.0 + * + */ +public class C05MBJE { + + private static final int n = 4; + + private static class FCN extends C05MB.Abstract_C05MB_FCN { + + public void eval() { + + FVEC[0] = Math.cos(X[2]) - X[0]; + FVEC[1] = Math.sqrt(1.0 - Math.pow(X[3],2)) - X[1]; + FVEC[2] = Math.sin(X[0]) - X[2]; + FVEC[3] = Math.pow(X[1], 2) - X[3]; + + // Set iflag negative to terminate execution for any reason + IFLAG = 0; + + return; + + } + + } + + /** + * C05MBJ example main program. + */ + public static void main(String[] args) { + + C05MB c05mb = new C05MB(); + DNRM2 dnrm2 = new DNRM2(); + X02AJ x02aj = new X02AJ(); + FCN fcn = new FCN(); + long cpuser; + double atol, cndtol, fnorm, machpr, rtol; + int astart, i, ifail, m; + double[] fvec, x; + double[] ruser = new double[1]; + int[] iuser = new int[1]; + + System.out.println("C05MBJ Example Program Results\n"); + + // Get machine precision from X02AJ + machpr = (new X02AJ()).eval(); + + fvec = new double[n]; + x = new double[n]; + + // The following starting values provide a rough solution + x = new double[]{2.0, 0.5, 2.0, 0.5}; + + m = 2; + atol = Math.sqrt(machpr); + rtol = Math.sqrt(machpr); + cndtol = 0.0; + astart = 0; + cpuser = 0; + + ifail = -1; + c05mb.eval(fcn, n, x, fvec, atol, rtol, m, cndtol, astart, iuser, ruser, + cpuser, ifail); + ifail = c05mb.getIFAIL(); + + if (ifail == 0 || ifail == 8 || ifail == 9) { + if (ifail == 0) { + // The NAG name equivalent of dnrm2 is f06ej + fnorm = dnrm2.eval(n, fvec, 1); + System.out.println(); + System.out.printf("Final 2-norm of the residuals = %12.4e\n", fnorm); + System.out.println(); + System.out.println("Final approximate solution"); + } + else { + System.out.println(); + System.out.println("Approximate solution"); + } + System.out.println(); + for (i = 1; i <= n; i++) { + System.out.printf("%12.4f", x[i-1]); + } + System.out.printf("\n"); + } + + } + +} diff --git a/simple_examples/source/int32/C05QBJE.java b/simple_examples/source/int32/C05QBJE.java new file mode 100644 index 0000000..4b93405 --- /dev/null +++ b/simple_examples/source/int32/C05QBJE.java @@ -0,0 +1,167 @@ +import com.nag.routines.C05.C05QB; +import com.nag.routines.F06.DNRM2; +import com.nag.routines.X02.X02AJ; + +/** + * C05QB example program text. + * @author ludovic + */ +public class C05QBJE { + + public static void main(String[] args) { + + C05QB c05qb = new C05QB(); + + System.out.println(" C05QBJ Example Program Results"); + + int n = 9, ifail = -1; + + double xtol, fnorm; + + int[] IUSER = new int[1]; + double[] fvec = new double[n]; + double[] x = new double[n]; + double[] RUSER = new double[1]; + + + FCN fcn = new FCN(); + + for (int i = 0; i < n; ++i) { + x[i] = -1.0; + } + xtol = Math.sqrt((new X02AJ()).eval()); + + c05qb.eval(fcn, n, x, fvec, xtol, IUSER, RUSER, ifail); + + ifail = c05qb.getIFAIL(); + + switch (ifail) { + case (0): + fnorm = (new DNRM2(n, fvec, 1)).eval(); + System.out.println(); + System.out.printf(" Final 2-norm of the residuals = %11.4E\n", fnorm); + System.out.println(); + System.out.println(" Final approximate solution"); + int count = 0; + for (int i = 0; i < n; ++i) { + System.out.printf(" %12.4f", x[i]); + ++count; + if (count == 3) { + System.out.println(); + count = 0; + } + } + break; + case (2): + case (3): + case (4): + System.out.println("Approximate solution"); + count = 0; + for (int i = 0; i < n; ++i) { + System.out.printf(" %12.4f", x[i]); + ++count; + if (count == 3) { + System.out.println(); + count = 0; + } + } + break; + } + + } + + public static class FCN implements C05QB.C05QB_FCN { + + private int N, IFLAG; + private double[] X, FVEC, RUSER; + private int[] IUSER; + + @Override + public void setN(int N) { + this.N = N; + } + + @Override + public int getN() { + return N; + } + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setFVEC(double[] FVEC) { + this.FVEC = FVEC; + } + + @Override + public double[] getFVEC() { + return FVEC; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void eval(int N, double[] X, double[] FVEC, int[] IUSER, double[] RUSER, int IFLAG) { + + /* + * fvec(1:n) = (3.0_nag_wp-2.0_nag_wp*x(1:n))*x(1:n) + 1.0_nag_wp + * fvec(2:n) = fvec(2:n) - x(1:(n-1)) + * fvec(1:(n-1)) = fvec(1:(n-1)) - 2.0_nag_wp*x(2:n) + */ + for (int i = 0; i < N; ++i) { + FVEC[i] = (3.0 - 2.0 * X[i]) * X[i] + 1.0; + /*if (i >= 1) { + FVEC[i] = FVEC[i] - X[i - 1]; + } + if (i < N - 1) { + FVEC[i] = FVEC[i] - 2.0 * X[i + 1]; + }*/ + } + for (int i = 1; i < N; ++i) { + FVEC[i] = FVEC[i] - X[i - 1]; + } + for (int i = 0; i < N-1; ++i) { + FVEC[i] = FVEC[i] - 2.0 * X[i + 1]; + } + + } + + } + +} diff --git a/simple_examples/source/int32/C06BAJE.java b/simple_examples/source/int32/C06BAJE.java new file mode 100644 index 0000000..541d4d3 --- /dev/null +++ b/simple_examples/source/int32/C06BAJE.java @@ -0,0 +1,56 @@ +import com.nag.routines.C06.C06BA; +import com.nag.routines.X01.X01AA; + +/** + * C06BAJ example program text. + * @author willa + */ +public class C06BAJE{ + + public static void main(String[] args){ + int lwork = 16, nout = 6; + int ifail, ncall; + double abserr = 0.0, ans, error, pi = 0.0, r, result = 0.0, seqn, sig; + double[] work; + + C06BA c06ba = new C06BA(); + work = new double[lwork]; + + System.out.println("C06BAJ Example Program Results"); + System.out.println(); + + X01AA x01aa = new X01AA(pi); + pi = x01aa.eval(); + + ans = Math.pow(pi, 2)/12.0; + ncall = 0; + sig = 1.0; + seqn = 0.0; + System.out.println("\t\t\t Estimated\t Actual"); + System.out.println("I\t SEQN \t RESULT\t abs error\t error"); + System.out.println(); + + for(int i = 0; i < 10; i++){ + r = (double) i + 1; + seqn = seqn + sig/Math.pow(r, 2); + + ifail = 0; + c06ba.eval(seqn, ncall, result, abserr, work, lwork, ifail); + + //update variables + ncall = c06ba.getNCALL(); + result = c06ba.getRESULT(); + abserr = c06ba.getABSERR(); + + error = result - ans; + sig = -sig; + + if(i <= 2){ + System.out.printf("%d\t %.4f\t %.4f\t -\t\t %.2e\n", (i + 1), seqn, result, error); + } + else{ + System.out.printf("%d\t %.4f\t %.4f\t %.2e\t %.2e\n", (i + 1), seqn, result, abserr, error); + } + } + } +} diff --git a/simple_examples/source/int32/C06FKJE.java b/simple_examples/source/int32/C06FKJE.java new file mode 100644 index 0000000..58db62f --- /dev/null +++ b/simple_examples/source/int32/C06FKJE.java @@ -0,0 +1,91 @@ +import com.nag.routines.C06.C06FK; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C06FKJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class C06FKJE{ + + /** + * C06FKJE main program + */ + public static void main(String[] args){ + int ifail = 0, n = 0; //placeholder + double[] work, xa, xb, ya, yb; + + work = new double[0]; + xa = new double[0]; + xb = new double[0]; + ya = new double[0]; + yb = new double[0]; //placeholders + + System.out.println("C06FKJ Example Program Results"); + System.out.println(); + + //Supply file path as argument + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //Loop until break... + while(true){ + line = reader.readLine(); + //Break when the end of the file is reached + if(line == null){ + break; + } + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[0]); + + work = new double[n]; + xa = new double[n]; + xb = new double[n]; + ya = new double[n]; + yb = new double[n]; + + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + xa[i] = Double.parseDouble(sVal[0]); + xb[i] = xa[i]; + ya[i] = Double.parseDouble(sVal[1]); + yb[i] = ya[i]; + } + + ifail = 0; + + C06FK c06fk1 = new C06FK(1, xa, ya, n, work, ifail); + c06fk1.eval(); + xa = c06fk1.getX(); + C06FK c06fk2 = new C06FK(2, xb, yb, n, work, ifail); + c06fk2.eval(); + xb = c06fk2.getX(); + + System.out.printf("\tCovolution \tCorrelation\n"); + System.out.println(); + + for(int i = 0; i < n; i++){ + System.out.printf("%d\t%.5f\t\t%.5f\n", i, xa[i], xb[i]); + } + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} diff --git a/simple_examples/source/int32/C09AAJE.java b/simple_examples/source/int32/C09AAJE.java new file mode 100644 index 0000000..48c38b6 --- /dev/null +++ b/simple_examples/source/int32/C09AAJE.java @@ -0,0 +1,158 @@ +import com.nag.routines.C09.C09AA; +import com.nag.routines.C09.C09CC; +import com.nag.routines.C09.C09CD; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C09AAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class C09AAJE{ + + /** + * C09AAJ example main program + */ + public static void main(String[] args){ + int ifail, lenc = 0, n = 0, nf = 0, nnz, nwc = 0, nwlmax = 0, ny; //placeholders + String mode = "", wavnam = "", wtrans; //placeholders + int[] dwtlev, icomm; + double[] c, x, y; + + x = new double[0]; y = new double[0]; //placeholders + + //print error message if no data file given + if(args.length != 1){ + C09AAJE.usage(); + } + + icomm = new int[100]; + + System.out.println("C09AAJ Example Program Results"); + System.out.println(); + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[1]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + wavnam = sVal[1]; + mode = sVal[2]; + + x = new double[n]; + y = new double[n]; + + System.out.printf("Parameters read from file :: \n \tWavelet : %s \tEnd mode : %s \t N = %d\n", wavnam, mode, n); + + System.out.println("Input data \tX : "); + for(int i = 0; i < n; i++){ + line = reader.readLine(); + //Avoid errors with data file format and negative numbers + line = " " + line; + sVal = line.split("\\s+"); + x[i] = Double.parseDouble(sVal[1]); + System.out.printf("%.3f\t", x[i]); + } + System.out.printf("\n"); + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + //Query wavelet filter dimensions + //For Multi-Resolution analysis ,decomposition, wrtrans = 'M' + wtrans = "Multilevel"; + + //ifail: behaviour on error exit + // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft + ifail = 0; + C09AA c09aa = new C09AA(wavnam, wtrans, mode, n, nwlmax, nf, nwc, icomm, ifail); + c09aa.eval(); + + nwc = c09aa.getNWC(); + nwlmax = c09aa.getNWLMAX(); + lenc = nwc; + c = new double[lenc]; + dwtlev = new int[nwlmax + 1]; + + icomm = c09aa.getICOMM(); + ifail = 0; + //Perform discrete wavelet transform + C09CC c09cc = new C09CC(n, x, lenc, c, nwlmax, dwtlev, icomm, ifail); + c09cc.eval(); + + nf = c09aa.getNF(); + nwlmax = c09cc.getNWL(); + dwtlev = c09cc.getDWTLEV(); + c = c09cc.getC(); + + System.out.println(); + System.out.printf("Length of wavelet filter : \t%d\n", nf); + System.out.printf("Number of Levels : \t%d\n", nwlmax); + System.out.printf("Number of coefficients in each level: \n\t\t"); + for(int i = 0; i <= nwlmax; i++){ + System.out.printf("%d\t ", dwtlev[i]); + } + System.out.printf("\n"); + System.out.printf("Total number of wavelength coefficients : %d\n", nwc); + nnz = arraySum(dwtlev); + System.out.println(); + System.out.println("Wavelet coefficients C:"); + for(int i = 0; i < nnz; i++){ + System.out.printf("%.3f ", c[i]); + } + System.out.printf("\n"); + + //Reconstruct original data + ny = n; + + ifail = 0; + lenc = c09cc.getLENC(); + icomm = c09cc.getICOMM(); + C09CD c09cd = new C09CD(nwlmax, lenc, c, ny, y, icomm, ifail); + c09cd.eval(); + + y = c09cd.getY(); + System.out.println(); + System.out.printf("Reconstruction \tY : \n"); + for(int i = 0; i < ny; i++){ + System.out.printf("%.3f ", y[i]); + } + System.out.printf("\n"); + } + + /** + * Finds the sum of all integers in an array + * @param a + * Array to sum + * @return total + */ + private static int arraySum(int[] a){ + int tot = 0; + for(int i = 0; i < a.length; i++){ + tot += a[i]; + } + return tot; + } + + /** + * No arguments supplied when exmaple runs + */ + private static void usage(){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} diff --git a/simple_examples/source/int32/D01BDJE.java b/simple_examples/source/int32/D01BDJE.java new file mode 100644 index 0000000..8659cc4 --- /dev/null +++ b/simple_examples/source/int32/D01BDJE.java @@ -0,0 +1,58 @@ +import com.nag.routines.D01.D01BD; + +/** + * D01BD example program text. + */ +public class D01BDJE { + + public static void main(String[] args) { + + double a = 0.0, b = 1.0; + double epsabs = 0.0, epsrel = 0.0001; + double result = Double.NaN; + double abserr = Double.NaN; + FUN fun = new FUN(); + D01BD d01bd = new D01BD(fun, a, b, epsabs, epsrel, result, abserr); + + d01bd.eval(); + result = d01bd.getRESULT(); + abserr = d01bd.getABSERR(); + + System.out.println(" D01BDJ Example Program Results"); + + System.out.println(); + System.out.printf(" A - lower limit of integration = %10.4f\n",a); + System.out.printf(" B - upper limit of integration = %10.4f\n",b); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.println(); + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.println(); + + if (abserr > Math.max(epsabs,epsrel*Math.abs(result))) { + System.out.println("Warning - requested accuracy may not have been achieved"); + } + + } + + + public static class FUN implements D01BD.D01BD_F { + + private double x; + + public double eval(double x) { + return (x * x * Math.sin(10.0 * Math.PI * x)); + } + + public double getX() { + return x; + } + + public void setX(double d) { + x = d; + } + + } + +} diff --git a/simple_examples/source/int32/D01RJJE.java b/simple_examples/source/int32/D01RJJE.java new file mode 100644 index 0000000..9eee98a --- /dev/null +++ b/simple_examples/source/int32/D01RJJE.java @@ -0,0 +1,184 @@ +import com.nag.routines.D01.D01RJ; +import com.nag.routines.X01.X01AA; +import java.util.Arrays; + +/** + * D01RJ example program text. + * @author Mo + */ +public class D01RJJE { + + public static void main(String[] args) { + + double pi = 0.0; + double a, b, epsabs, epsrel; + double result = Double.NaN; + double abserr = Double.NaN; + double[] rinfo, ruser; + int [] iinfo, iuser; + int ifail, liinfo, lrinfo, maxsub; + long cpuser; // c_ptr + F f = new F(); + + /* Header */ + System.out.println(" D01RJJ Example Program Results"); + + X01AA x01aa = new X01AA(pi); + pi = x01aa.eval(); + a = 0.0; + b = 2.0*pi; + epsabs = 0.0; + epsrel = 0.0001; + maxsub = 20; + lrinfo = 4*maxsub; + liinfo = Math.max(maxsub,4); + + rinfo = new double[lrinfo]; + iinfo = new int[liinfo]; + iuser = new int[0]; + ruser = new double[0]; + + iuser = new int[] {0}; + /* pass constant to f through ruser */ + ruser = new double[] {4.0*Math.pow(pi,2)}; + cpuser = 0L; + + D01RJ d01rj = new D01RJ(); + ifail = -1; + d01rj.eval(f, a, b, epsabs, epsrel, maxsub, result, abserr, + rinfo, iinfo, iuser, ruser, cpuser, ifail); + result = d01rj.getRESULT(); + abserr = d01rj.getABSERR(); + ifail = d01rj.getIFAIL(); + + if (ifail >= 0) { + System.out.println(); + System.out.printf(" A - lower limit of integration = %9.4f\n",a); + System.out.printf(" B - upper limit of integration = %9.4f\n",b); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); + System.out.println(); + if (ifail <= 5) { + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); + System.out.println(); + } + else if (ifail == -1) { + /* User requested exit */ + System.out.printf(" Exit requested from F with IFLAG %4d\n",iuser[0]); + System.out.println(); + } + + } + + } + + public static class F implements D01RJ.D01RJ_F { + + private int NX, IFLAG; + private double[] X, FV, RUSER; + private int[] IUSER; + private long CPUSER; + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setNX(int NX) { + this.NX = NX; + } + + @Override + public int getNX() { + return NX; + } + + @Override + public void setFV(double[] FV) { + this.FV = FV; + } + + @Override + public double[] getFV() { + return FV; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setCPUSER(long CPUSER) { + this.CPUSER = CPUSER; + } + + @Override + public long getCPUSER() { + return CPUSER; + } + + @Override + public void eval(double[] X, int NX, double[] FV, int IFLAG, + int[] IUSER, double[] RUSER, long CPUSER) { + + for (int i = 0; i < NX; i++) { + FV[i] = 0.0; + } + + for (int i = 0; i < NX; i++) { + if (X[i] == 1.0) { + /* An undefined result will be generated. */ + /* Set iflag to force an immediate exit */ + IFLAG = -1; + /* Store chosen value of iflag in iuser */ + IUSER[0] = IFLAG; + } + } + if (IFLAG != -1) { + for (int j = 0; j < NX; j++) { + FV[j] = X[j] * Math.sin(30.0 * X[j])/ + Math.sqrt(1.0 - Math.pow(X[j],2)/RUSER[0]); + } + } + return; + + } + + } + +} diff --git a/simple_examples/source/int32/D01RKJE.java b/simple_examples/source/int32/D01RKJE.java new file mode 100644 index 0000000..20c0501 --- /dev/null +++ b/simple_examples/source/int32/D01RKJE.java @@ -0,0 +1,173 @@ +import com.nag.routines.D01.D01RK; +import com.nag.routines.X01.X01AA; +import java.util.Arrays; + +/** + * D01RK example program text. + * @author Mo + */ +public class D01RKJE { + + public static void main(String[] args) { + + double pi = 0.0; + double a, b, epsabs, epsrel; + double result = Double.NaN; + double abserr = Double.NaN; + double[] rinfo, ruser; + int [] iinfo, iuser; + int ifail, key, liinfo, lrinfo, maxsub; + long cpuser; // c_ptr + F f = new F(); + + /* Header */ + System.out.println(" D01RKJ Example Program Results"); + + key = 6; + X01AA x01aa = new X01AA(pi); + pi = x01aa.eval(); + a = 0.0; + b = 2.0*pi; + epsabs = 0.0; + epsrel = 0.0001; + maxsub = 20; + lrinfo = 4*maxsub; + liinfo = Math.max(maxsub,4); + + rinfo = new double[lrinfo]; + iinfo = new int[liinfo]; + iuser = new int[0]; + ruser = new double[0]; + + iuser = new int[] {0}; + ruser = new double[] {4.0*Math.pow(pi,2)}; + cpuser = 0L; + + D01RK d01rk = new D01RK(); + ifail = -1; + d01rk.eval(f, a, b, key, epsabs, epsrel, maxsub, result, abserr, + rinfo, iinfo, iuser, ruser, cpuser, ifail); + result = d01rk.getRESULT(); + abserr = d01rk.getABSERR(); + ifail = d01rk.getIFAIL(); + + if (ifail >= 0) { + System.out.println(); + System.out.printf(" A - lower limit of integration = %9.4f\n",a); + System.out.printf(" B - upper limit of integration = %9.4f\n",b); + System.out.printf(" KEY - choice of Gaussian rule = %4d\n",key); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); + System.out.println(); + if (ifail <= 5) { + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); + System.out.println(); + } + else if (ifail == -1) { + /* User requested exit */ + System.out.printf(" Exit requested from F \n"); + System.out.println(); + } + + } + + } + + public static class F implements D01RK.D01RK_F { + + private int NX, IFLAG; + private double[] X, FV, RUSER; + private int[] IUSER; + private long CPUSER; + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setNX(int NX) { + this.NX = NX; + } + + @Override + public int getNX() { + return NX; + } + + @Override + public void setFV(double[] FV) { + this.FV = FV; + } + + @Override + public double[] getFV() { + return FV; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setCPUSER(long CPUSER) { + this.CPUSER = CPUSER; + } + + @Override + public long getCPUSER() { + return CPUSER; + } + + @Override + public void eval(double[] X, int NX, double[] FV, int IFLAG, + int[] IUSER, double[] RUSER, long CPUSER) { + + for (int i = 0; i < NX; i++) { + FV[i] = 0.0; + } + + for (int j = 0; j < NX; j++) { + FV[j] = X[j] * Math.sin(30.0 * X[j]) * Math.cos(X[j]); + } + return; + + } + + } + +} diff --git a/simple_examples/source/int32/D01RLJE.java b/simple_examples/source/int32/D01RLJE.java new file mode 100644 index 0000000..c8a6d0e --- /dev/null +++ b/simple_examples/source/int32/D01RLJE.java @@ -0,0 +1,196 @@ +import com.nag.routines.D01.D01RL; +import java.util.Arrays; + +/** + * D01RL example program text. + * @author Mo + */ +public class D01RLJE { + + public static void main(String[] args) { + + double a, b, epsabs, epsrel; + double result = Double.NaN; + double abserr = Double.NaN; + double[] points, rinfo, ruser; + int [] iinfo, iuser; + int ifail, liinfo, lrinfo, maxsub, npts; + long cpuser; // c_ptr + F f = new F(); + + /* Header */ + System.out.println(" D01RLJ Example Program Results"); + + epsabs = 0.0; + epsrel = 0.0001; + a = 0.0; + b = 1.0; + npts = 1; + maxsub = 20; + liinfo = 2*Math.max(maxsub,npts) + npts + 4; + lrinfo = 4*Math.max(maxsub,npts) + npts + 6; + + points = new double[npts]; + rinfo = new double[lrinfo]; + iinfo = new int[liinfo]; + iuser = new int[0]; + ruser = new double[21]; + + points[0] = 1.0/7.0; + iuser = new int[] {0}; + ruser = new double[] {0.0}; + cpuser = 0L; + + D01RL d01rl = new D01RL(); + ifail = -1; + d01rl.eval(f, a, b, npts, points, epsabs, epsrel, maxsub, result, abserr, + rinfo, iinfo, iuser, ruser, cpuser, ifail); + points = d01rl.getPOINTS(); + result = d01rl.getRESULT(); + abserr = d01rl.getABSERR(); + ifail = d01rl.getIFAIL(); + + if (ifail >= 0) { + System.out.println(); + System.out.printf(" A - lower limit of integration = %9.4f\n",a); + System.out.printf(" B - upper limit of integration = %9.4f\n",b); + System.out.printf(" POINT(1) - given break-point = %9.4f\n",points[0]); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); + System.out.println(); + if (ifail <= 5) { + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); + System.out.println(); + } + else if (ifail == -1) { + /* User requested exit */ + System.out.printf(" Exit requested from F"); + System.out.println(); + } + + } + + } + + public static class F implements D01RL.D01RL_F { + + private int NX, IFLAG; + private double[] X, FV, RUSER; + private int[] IUSER; + private long CPUSER; + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setNX(int NX) { + this.NX = NX; + } + + @Override + public int getNX() { + return NX; + } + + @Override + public void setFV(double[] FV) { + this.FV = FV; + } + + @Override + public double[] getFV() { + return FV; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setCPUSER(long CPUSER) { + this.CPUSER = CPUSER; + } + + @Override + public long getCPUSER() { + return CPUSER; + } + + @Override + public void eval(double[] X, int NX, double[] FV, int IFLAG, + int[] IUSER, double[] RUSER, long CPUSER) { + + /*for (int i = 0; i < NX; i++) {*/ + /*FV[i] = 0.0;*/ + /*}*/ + + for (int i = 0; i < NX; i++) { + FV[i] = Math.abs(X[i] - 1.0/7.0); + } + + for (int i = 0; i < NX; i++) { + if (FV[i] == 0.0) { + /* A singular point will be hit. */ + /* Record offending abscissae and abort computation. */ + IFLAG = 0; + for (int k = 0; k < NX; k++) { + if (FV[k] == 0.0) { + IFLAG = IFLAG + 1; + RUSER[IFLAG-1] = X[k]; + } + } + /* Store value of iflag in iuser */ + IUSER[0] = IFLAG; + /* signal abort by setting iflag<0 */ + IFLAG = -IFLAG; + } + } + if (IFLAG == 0) { + /* Safe to evaluate. */ + for (int j = 0; j < NX; j++) { + FV[j] = 1.0/Math.sqrt(FV[j]); + } + } + return; + + } + + } + +} diff --git a/simple_examples/source/int32/D01RMJE.java b/simple_examples/source/int32/D01RMJE.java new file mode 100644 index 0000000..6e80b2b --- /dev/null +++ b/simple_examples/source/int32/D01RMJE.java @@ -0,0 +1,163 @@ +import com.nag.routines.D01.D01RM; +import java.util.Arrays; + +/** + * D01RM example program text. + * @author Mo + */ +public class D01RMJE { + + public static void main(String[] args) { + + double bound, epsabs, epsrel; + double result = Double.NaN; + double abserr = Double.NaN; + double[] rinfo, ruser; + int [] iinfo, iuser; + int ifail, inf, liinfo, lrinfo, maxsub; + long cpuser; // c_ptr + F f = new F(); + + /* Header */ + System.out.println(" D01RMJ Example Program Results"); + + bound = 0.0; + inf = 1; + epsabs = 0.0; + epsrel = 0.0001; + maxsub = 20; + lrinfo = 4*maxsub; + liinfo = Math.max(maxsub,4); + + rinfo = new double[lrinfo]; + iinfo = new int[liinfo]; + iuser = new int[0]; + ruser = new double[0]; + + iuser = new int[] {0}; + ruser = new double[] {0.0}; + cpuser = 0L; + + D01RM d01rm = new D01RM(); + ifail = -1; + d01rm.eval(f, bound, inf, epsabs, epsrel, maxsub, result, abserr, + rinfo, iinfo, iuser, ruser, cpuser, ifail); + result = d01rm.getRESULT(); + abserr = d01rm.getABSERR(); + ifail = d01rm.getIFAIL(); + + if (ifail >= 0) { + System.out.println(); + System.out.printf(" A - lower limit of integration = %9.4f\n",bound); + System.out.println(" B - upper limit of integration = infinity\n"); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); + System.out.println(); + if (ifail <= 5) { + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); + System.out.println(); + } + else if (ifail == -1) { + /* User requested exit */ + System.out.printf(" Exit requested from F \n"); + System.out.println(); + } + + } + + } + + public static class F implements D01RM.D01RM_F { + + private int NX, IFLAG; + private double[] X, FV, RUSER; + private int[] IUSER; + private long CPUSER; + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setNX(int NX) { + this.NX = NX; + } + + @Override + public int getNX() { + return NX; + } + + @Override + public void setFV(double[] FV) { + this.FV = FV; + } + + @Override + public double[] getFV() { + return FV; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setCPUSER(long CPUSER) { + this.CPUSER = CPUSER; + } + + @Override + public long getCPUSER() { + return CPUSER; + } + + @Override + public void eval(double[] X, int NX, double[] FV, int IFLAG, + int[] IUSER, double[] RUSER, long CPUSER) { + + for (int j = 0; j < NX; j++) { + FV[j] = 1.0/((X[j] + 1.0) * Math.sqrt(X[j])); + } + return; + + } + + } + +} diff --git a/simple_examples/source/int32/D01TCJE.java b/simple_examples/source/int32/D01TCJE.java new file mode 100644 index 0000000..cde8428 --- /dev/null +++ b/simple_examples/source/int32/D01TCJE.java @@ -0,0 +1,45 @@ +import com.nag.routines.D01.D01TC; +import java.util.Arrays; + +/** + * D01TC example program text. + * @author Mo + */ +public class D01TCJE { + + public static void main(String[] args) { + + double a, b, c, d; + double[] abscis, weight; + int n, ifail, itype; + + /* Header */ + System.out.println(" D01TCJ Example Program Results"); + + n = 7; + a = 0.0; + b = 1.0; + c = 0.0; + d = 0.0; + itype = -3; + + abscis = new double[n]; + weight = new double[n]; + + D01TC d01tc = new D01TC(); + ifail = 0; + d01tc.eval(itype, a, b, c, d, n, weight, abscis, ifail); + abscis= d01tc.getABSCIS(); + weight = d01tc.getWEIGHT(); + + System.out.println(); + System.out.printf(" Laguerre formula, %2d points\n",n); + System.out.println(); + System.out.println(" Abscissae Weights\n"); + for (int j = 0; j < n; j++) { + System.out.printf("%15.5E %15.5E\n", abscis[j], weight[j]); + } + + } + +} diff --git a/simple_examples/source/int32/D02NEJE.java b/simple_examples/source/int32/D02NEJE.java new file mode 100644 index 0000000..34a5b25 --- /dev/null +++ b/simple_examples/source/int32/D02NEJE.java @@ -0,0 +1,388 @@ +import com.nag.routines.D02.D02MC; +import com.nag.routines.D02.D02MW; +import com.nag.routines.D02.D02NE; +import com.nag.routines.D02.D02NEZ; +import com.nag.routines.D02.D02NP; +import java.util.Arrays; + +/** + * D02NE example program text. + * @author joed + */ +public class D02NEJE { + + public static final double ALPHA = 0.04; + public static final double BETA = 1.0E4; + public static final double GAMMA = 3.0E7; + public static final int ML = 1; + public static final int MU = 2; + public static final int NEQ1 = 3; + public static final int NEQ2 = 1; + + public static JAC1 jac1 = new JAC1(); + public static JAC2 jac2 = new JAC2(); + public static RES1 res1 = new RES1(); + public static RES2 res2 = new RES2(); + + public static void main(String[] args) { + + System.out.println(" D02NEJ Example Program Results"); + + ex1(); + ex2(); + + } + + private static void ex1() { + + D02MC d02mc = new D02MC(); + D02MW d02mw = new D02MW(); + D02NE d02ne = new D02NE(); + D02NP d02np = new D02NP(); + double h0, hmax, t, tout; + int ifail, ijac, itask, itol, lcom, licom, maxord, neq; + String jceval; // length 8 + double[] atol, com, rtol, y, ydot, ruser; + int[] icom, iuser; + + ruser = new double[1]; + iuser = new int[3]; + + System.out.println(); + System.out.println(" D02NEF Example 1"); + System.out.println(); + + maxord = 5; + + neq = NEQ1; + lcom = 40 + (maxord + 4) * neq + (2 * ML + MU + 1) * neq + + 2 * (neq / (ML + MU + 1) + 1); + licom = 50 + neq; + + atol = new double[neq]; + com = new double[lcom]; + rtol = new double[neq]; + y = new double[neq]; + ydot = new double[neq]; + icom = new int[licom]; + + ijac = 1; + itol = 1; + Arrays.fill(rtol, 1.0E-3); + Arrays.fill(atol, 1.0E-6); + Arrays.fill(ydot, 0.0); + + // String length = 8 + jceval = (ijac == 1) ? "Analytic" : "Numeric "; + + // Set initial values + y[0] = 1.0; + y[1] = 0.0; + y[2] = 0.0; + + // Initialize the problem, specifying that the Jacobian is to be + // evaluated analytically using the provided routine jac. + hmax = 0.0; + h0 = 0.0; + t = 0.0; + tout = 0.02; + ifail = 0; + d02mw.eval( + neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail + ); + ifail = d02mw.getIFAIL(); + + // Specify that the Jacobian is banded. + ifail = 0; + d02np.eval(neq, ML, MU, icom, licom, ifail); + ifail = d02np.getIFAIL(); + + // Use the iuser array to pass the band dimensions through to jac. + // An alternative would be to hard code values for ml and mu in jac. + iuser[0] = ML; + iuser[1] = MU; + iuser[2] = ijac; + + System.out.printf(" t "); + for (int i = 1; i <= neq; i++) { + System.out.printf(" Y(%1d) ", i); + } + System.out.println(); + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + itask = 0; + + // Obtain the solution at 5 equally spaced values of T. + for (int j = 0; j < 5; j++) { + ifail = -1; + d02ne.eval( + neq, t, tout, y, ydot, rtol, atol, itask, res1, jac1, icom, + com, lcom, iuser, ruser, ifail + ); + itask = d02ne.getITASK(); + ifail = d02ne.getIFAIL(); + t = d02ne.getT(); + + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + if (ifail != 0) { + System.out.printf( + " ** D02NEF returned with IFAIL = %5d\n", ifail + ); + break; + } + + tout += 0.02; + d02mc.eval(icom); + + } + + System.out.println(); + System.out.printf( + " The integrator completed task, ITASK = %4d\n", itask + ); + + } + + private static void ex2() { + D02MC d02mc = new D02MC(); + D02MW d02mw = new D02MW(); + D02NE d02ne = new D02NE(); + double h0, hmax, t, tout; + int ifail, ijac, itask, itol, lcom, licom, maxord, neq; + String jceval; // length 8 + double[] atol, com, rtol, y, ydot, ruser; + int[] icom, iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println(); + System.out.println(" D02NEF Example 2"); + System.out.println(); + + maxord = 5; + neq = NEQ2; + lcom = 40 + (maxord + 4) * neq + neq * neq; + licom = 50 + neq; + + atol = new double[neq]; + com = new double[lcom]; + rtol = new double[neq]; + y = new double[neq]; + ydot = new double[neq]; + icom = new int[licom]; + + ijac = 1; + itol = 1; + rtol[0] = 0.0; + atol[0] = 1.0E-8; + ydot[0] = 0.0; + + // String length = 8 + jceval = (ijac == 1) ? "Analytic" : "Numeric "; + + // Initialize the problem, specifying that the Jacobian is to be + // evaluated analytically using the provided routine jac. + y[0] = 2.0; + hmax = 0.0; + h0 = 0.0; + t = 0.0; + tout = 0.2; + + ifail = 0; + d02mw.eval( + neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail + ); + ifail = d02mw.getIFAIL(); + + // Use the iuser array to pass whether numerical or analytic Jacobian + // is to be used. + iuser[0] = ijac; + + System.out.printf(" t "); + for (int i = 1; i <= neq; i++) { + System.out.printf(" y(%1d) ", i); + } + System.out.println(); + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + itask = 0; + + for (int j = 0; j < 5; j++) { + ifail = -1; + d02ne.eval( + neq, t, tout, y, ydot, rtol, atol, itask, res2, jac2, icom, + com, lcom, iuser, ruser, ifail + ); + itask = d02ne.getITASK(); + ifail = d02ne.getIFAIL(); + t = d02ne.getT(); + + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + if (ifail != 0) { + System.out.printf( + " ** D02NEF returned with IFAIL = %5d\n", ifail + ); + break; + } + + tout += 0.2; + d02mc.eval(icom); + + } + + System.out.println(); + System.out.printf( + " The integrator completed task, ITASK = %4d\n", itask + ); + + } + + /** + * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based + * Java index. + * + *

    Fortran array definition: + * a(dimX, *) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + + public static class RES1 extends D02NE.Abstract_D02NE_RES { + + public void eval() { + + this.R[0] = -(ALPHA * this.Y[0]) + (BETA * this.Y[1] * this.Y[2]) + - this.YDOT[0]; + this.R[1] = (ALPHA * this.Y[0]) - (BETA * this.Y[1] * this.Y[2]) + - (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[1]; + this.R[2] = (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[2]; + + } + + } + + public static class JAC1 extends D02NE.Abstract_D02NE_JAC { + + private double[] myjac1( + int neq, int ml, int mu, double t, double[] y, double[] ydot, + double[] pd, double cj + ) { + + int md, ms, pdDim1; + + pdDim1 = (2 * ml) + mu + 1; + + // Main diagonal pdfull(i,i), i=1, neq + md = mu + ml + 1; + pd[getIdx(md, 1, pdDim1)] = -ALPHA - cj; + pd[getIdx(md, 2, pdDim1)] = (-BETA * y[2]) - (2.0 * GAMMA * y[1]) + - cj; + pd[getIdx(md, 3, pdDim1)] = -cj; + + // 1 subdiagonal pdfull(i-1,i), i=2, neq + ms = md + 1; + pd[getIdx(ms, 1, pdDim1)] = ALPHA; + pd[getIdx(ms, 2, pdDim1)] = 2.0 * GAMMA * y[1]; + + // First superdiagonal pdfull(i-1,i), i=2, neq + ms = md - 1; + pd[getIdx(ms, 2, pdDim1)] = BETA * y[2]; + pd[getIdx(ms, 3, pdDim1)] = -BETA * y[1]; + + // Second superdiagonal pdfull(i-2,i), i=3, neq + ms = md - 2; + pd[getIdx(ms, 3, pdDim1)] = BETA * y[1]; + + return pd; + + } + + public void eval() { + D02NEZ d02nez = new D02NEZ(); + int ijac, ml, mu; + + ml = this.IUSER[0]; + mu = this.IUSER[1]; + ijac = this.IUSER[2]; + + if (ijac == 1) { + myjac1( + this.NEQ, ml, mu, this.T, this.Y, this.YDOT, this.PD, + this.CJ + ); + } + else { + d02nez.eval( + this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, + this.IUSER, this.RUSER + ); + } + + } + + } + + public static class RES2 extends D02NE.Abstract_D02NE_RES { + + public void eval() { + this.R[0] = 4.0 - Math.pow(this.Y[0], 2.0) + + (this.T * 0.1E0 * Math.exp(this.Y[0])); + } + + } + + public static class JAC2 extends D02NE.Abstract_D02NE_JAC { + + private void myjac2( + int neq, double t, double[] y, double[] ydot, double[] pd, + double cj + ) { + + pd[0] = -(2.0 * y[0]) + (0.1E0 * t * y[0] * Math.exp(y[0])); + + } + + public void eval() { + D02NEZ d02nez = new D02NEZ(); + int ijac; + + ijac = this.IUSER[0]; + + if (ijac == 1) { + myjac2(this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ); + } + else { + d02nez.eval( + this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, + this.IUSER, this.RUSER + ); + } + + } + + } + +} diff --git a/simple_examples/source/int32/D02TLJE.java b/simple_examples/source/int32/D02TLJE.java new file mode 100644 index 0000000..601b3ce --- /dev/null +++ b/simple_examples/source/int32/D02TLJE.java @@ -0,0 +1,290 @@ +import com.nag.routines.D02.D02TL; +import com.nag.routines.D02.D02TV; +import com.nag.routines.D02.D02TX; +import com.nag.routines.D02.D02TY; +import com.nag.routines.D02.D02TZ; +import java.util.Arrays; + +/** + * D02TL example program text. + * @author joed + */ +public class D02TLJE { + + public static final int MMAX = 3, NEQ = 3, NLBC = 3, NRBC = 3; + + public static double omega, sqrofr; + public static int[] m = {1, 3, 2}; + + public static FFUN ffun = new FFUN(); + public static FJAC fjac = new FJAC(); + public static GAFUN gafun = new GAFUN(); + public static GAJAC gajac = new GAJAC(); + public static GBFUN gbfun = new GBFUN(); + public static GBJAC gbjac = new GBJAC(); + public static GUESS guess = new GUESS(); + + public static void main(String[] args) { + + D02TL d02tl = new D02TL(); + D02TV d02tv = new D02TV(); + D02TX d02tx = new D02TX(); + D02TY d02ty = new D02TY(); + D02TZ d02tz = new D02TZ(); + double dx, ermx, r; + int iermx, ifail, ijermx, licomm, lrcomm, mxmesh, ncol, ncont, + nmesh; + double[] mesh, rcomm, tol, y, ruser = new double[1]; + int[] icomm, ipmesh, iuser = new int[2]; + + System.out.println(" D02TLJ Example Program Results"); + System.out.println(); + + ncol = 7; + nmesh = 11; + mxmesh = 51; + + mesh = new double[mxmesh]; + tol = new double[NEQ]; + y = new double[NEQ * MMAX]; + ipmesh = new int[mxmesh]; + + omega = 1.0; + Arrays.fill(tol, 1.0E-4); + + dx = 1.0 / ((double) nmesh - 1); + + mesh[0] = 0.0; + for (int i = 1; i < nmesh - 1; i++) { + mesh[i] = mesh[i - 1] + dx; + } + mesh[nmesh - 1] = 1.0; + + ipmesh[0] = 1; + Arrays.fill(ipmesh, 1, nmesh - 1, 2); + ipmesh[nmesh - 1] = 1; + + // Workspace query to get size of rcomm and icomm + ifail = 0; + d02tv.eval( + NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, ruser, + 0, iuser, 2, ifail + ); + ifail = d02tv.getIFAIL(); + lrcomm = iuser[0]; + licomm = iuser[1]; + rcomm = new double[lrcomm]; + icomm = new int[licomm]; + + // Initialise integrator for given problem + ifail = 0; + d02tv.eval( + NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, rcomm, + lrcomm, icomm, licomm, ifail + ); + ifail = d02tv.getIFAIL(); + + ncont = 3; + r = 1.0E6; + + sqrofr = Math.sqrt(r); + + ermx = 0.0; + iermx = 0; + ijermx = 0; + + for (int j = 0; j < ncont; j++) { + System.out.printf("\n Tolerance = %8.1E R = %10.3E\n", tol[0], r); + + // Solve problem + ifail = -1; + d02tl.eval( + ffun, fjac, gafun, gbfun, gajac, gbjac, guess, rcomm, icomm, + iuser, ruser, ifail + ); + ifail = d02tl.getIFAIL(); + if (ifail != 0) { + System.err.println("D02TL failed with error code " + ifail); + } + + // Extract mesh + ifail = -1; + d02tz.eval( + mxmesh, nmesh, mesh, ipmesh, ermx, iermx, ijermx, rcomm, icomm, + ifail + ); + nmesh = d02tz.getNMESH(); + iermx = d02tz.getIERMX(); + ijermx = d02tz.getIJERMX(); + ermx = d02tz.getERMX(); + ifail = d02tz.getIFAIL(); + if (ifail == 1) { + break; + } + + // Print mesh, error stats + System.out.printf( + "\n" + + " Used a mesh of %4d points\n" + + " Maximum error = %10.2E in interval %4d for component %4d\n" + + "\n", + nmesh, ermx, iermx, ijermx + ); + System.out.printf("\n Mesh points:\n"); + for (int i = 0; i < nmesh; i++) { + System.out.printf("%4d(%1d)%10.3E", i+1, ipmesh[i], mesh[i]); + if ((i+1) % 4 == 0) { + System.out.printf("\n"); + } + } + System.out.printf("\n"); + + // Print solution components on mesh + System.out.printf("\n x f f\' g\n"); + for (int i = 0; i < nmesh; i++) { + ifail = 0; + d02ty.eval(mesh[i], y, NEQ, MMAX, rcomm, icomm, ifail); + ifail = d02ty.getIFAIL(); + System.out.printf( + " %8.3f %9.4f%9.4f%9.4f\n", mesh[i], y[getIdx(1, 0, NEQ)], + y[getIdx(2, 0, NEQ)], y[getIdx(3, 0, NEQ)] + ); + } + + if (j == ncont - 1) { + break; + } + + // Modify continuation parameter + r = 100.0 * r; + sqrofr = Math.sqrt(r); + + // Select mesh for continuation + Arrays.fill(ipmesh, 1, nmesh - 1, 2); + + // Call continuation primer routine + ifail = 0; + d02tx.eval(mxmesh, nmesh, mesh, ipmesh, rcomm, icomm, ifail); + mxmesh = d02tx.getMXMESH(); + nmesh = d02tx.getNMESH(); + ifail = d02tx.getIFAIL(); + + } + + } + + /** + * Converts a 2D Fortran index to the 1D index for its corresponding Java + * array. Assumes y is already zero-based. + * + *

    Fortran array definition: + * a(dimX, 0:*) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return (y * dimX) + (x-1); + } + + /** + * Converts a 3D Fortran index to the 1D index for its corresponding Java + * array. Assumes z is already zero-based. + * + *

    Fortran array definition: + * a(dimX, dimY, 0:*) + * + *

    Conversion: + * a(x, y, z) --> A[result] + */ + private static int getIdx(int x, int y, int z, int dimX, int dimY) { + return (z * dimY * dimX) + ((y-1) * dimX) + (x-1); + } + + public static class FFUN extends D02TL.Abstract_D02TL_FFUN { + + public void eval() { + F[0] = Y[getIdx(2, 0, NEQ)]; + F[1] = -((Y[getIdx(1, 0, NEQ)] * Y[getIdx(2, 2, NEQ)]) + + (Y[getIdx(3, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; + F[2] = ((Y[getIdx(2, 0, NEQ)] * Y[getIdx(3, 0, NEQ)]) + - (Y[getIdx(1, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; + } + + } + + public static class FJAC extends D02TL.Abstract_D02TL_FJAC { + + public void eval() { + DFDY[getIdx(1, 2, 0, NEQ, NEQ)] = 1.0; + DFDY[getIdx(2, 1, 0, NEQ, NEQ)] = -Y[getIdx(2, 2, NEQ)] * sqrofr; + DFDY[getIdx(2, 2, 2, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; + DFDY[getIdx(2, 3, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; + DFDY[getIdx(2, 3, 1, NEQ, NEQ)] = -Y[getIdx(3, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 1, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; + DFDY[getIdx(3, 2, 0, NEQ, NEQ)] = Y[getIdx(3, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 3, 0, NEQ, NEQ)] = Y[getIdx(2, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 3, 1, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; + } + + } + + public static class GAFUN extends D02TL.Abstract_D02TL_GAFUN { + + public void eval() { + GA[0] = YA[getIdx(1, 0, NEQ)]; + GA[1] = YA[getIdx(2, 0, NEQ)]; + GA[2] = YA[getIdx(3, 0, NEQ)] - omega; + } + + } + + public static class GBFUN extends D02TL.Abstract_D02TL_GBFUN { + + public void eval() { + GB[0] = YB[getIdx(1, 0, NEQ)]; + GB[1] = YB[getIdx(2, 0, NEQ)]; + GB[2] = YB[getIdx(3, 0, NEQ)] + omega; + } + + } + + public static class GAJAC extends D02TL.Abstract_D02TL_GAJAC { + + public void eval() { + DGADY[getIdx(1, 1, 0, NLBC, NEQ)] = 1.0; + DGADY[getIdx(2, 2, 0, NLBC, NEQ)] = 1.0; + DGADY[getIdx(3, 3, 0, NLBC, NEQ)] = 1.0; + } + + } + + public static class GBJAC extends D02TL.Abstract_D02TL_GBJAC { + + public void eval() { + DGBDY[getIdx(1, 1, 0, NRBC, NEQ)] = 1.0; + DGBDY[getIdx(2, 2, 0, NRBC, NEQ)] = 1.0; + DGBDY[getIdx(3, 3, 0, NRBC, NEQ)] = 1.0; + } + + } + + public static class GUESS extends D02TL.Abstract_D02TL_GUESS { + + public void eval() { + Y[getIdx(1, 0, NEQ)] = -(X - 0.5) * Math.pow(X * (X - 1.0), 2.0); + Y[getIdx(2, 0, NEQ)] = -X * (X - 1.0) + * (5.0 * X * (X - 1.0) + 1.0); + Y[getIdx(2, 1, NEQ)] = -(2.0 * X - 1.0) + * (10.0 * X * (X - 1.0) + 1.0); + Y[getIdx(2, 2, NEQ)] = -12.0 * (5.0 * X * (X - 1.0) + 1.0); + Y[getIdx(3, 0, NEQ)] = -8.0 * omega * Math.pow(X - 0.5, 3.0); + Y[getIdx(3, 1, NEQ)] = -24.0 * omega * Math.pow(X - 0.5, 2.0); + DYM[0] = Y[getIdx(2, 0, NEQ)]; + DYM[1] = -120.0 * (X - 0.5); + DYM[2] = -56.0 * omega * (X - 0.5); + } + + } + +} diff --git a/simple_examples/source/int32/D03PCJE.java b/simple_examples/source/int32/D03PCJE.java new file mode 100644 index 0000000..4901e2e --- /dev/null +++ b/simple_examples/source/int32/D03PCJE.java @@ -0,0 +1,217 @@ +import com.nag.routines.D03.D03PC; +import com.nag.routines.D03.D03PZ; +import com.nag.routines.X01.X01AA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.lang.StringBuilder; + +/** + * D03PCJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class D03PCJE{ + + /** + * D03PCJE main program + */ + public static void main(String[] args){ + int ifail, ind, intpts = 0, it, itask, itrace = 0, itype = 0, lisave, lrsave, m = 0, neqn, npts = 0, nwk, npde = 2; + double hx, pi, piby2, tout = 0, ts = 0, acc = 0, alpha = 0; + int[] isave, iuser, iwsav; + double[] rsave, u, uout, x, xout, ruser, rwsav; + boolean[] lwsav; + String[] cwsav; + + xout = new double[0]; // placeholders + ruser = new double[1]; + rwsav = new double[1100]; + iuser = new int[1]; + iwsav = new int[505]; + lwsav = new boolean[100]; + cwsav = new String[10]; + + System.out.println("D03PCJ Example Program Results"); + + //Specify path to data file + if(args.length != 1){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + intpts = Integer.parseInt(sVal[0]); + npts = Integer.parseInt(sVal[1]); + itype = Integer.parseInt(sVal[2]); + + xout = new double[intpts]; + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int i = 0; i < intpts; i++){ + xout[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.split("\\s+"); + acc = Double.parseDouble(sVal[0]); + alpha = Double.parseDouble(sVal[1]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + m = Integer.parseInt(sVal[0]); + itrace = Integer.parseInt(sVal[1]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + ts = Double.parseDouble(sVal[0]); + tout = Double.parseDouble(sVal[1]); + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + neqn = npde * npts; + lisave = neqn + 24; + nwk = (10 + (6 * npde)) * neqn; + lrsave = nwk + ((21 + (3 * npde)) * npde) + (7 * npts) + 54; + + rsave = new double[lrsave]; + u = new double[npde * npts]; + uout = new double[npde * intpts * itype]; + x = new double[npts]; + isave = new int[lisave]; + ruser[0] = alpha; + ind = 0; + itask = 1; + + X01AA x01aa = new X01AA(); + pi = x01aa.eval(); + piby2 = 0.5 * pi; + hx = piby2/(double)(npts - 1); + x[0] = 0.0; + x[npts - 1] = 1.0; + for(int i = 1; i < (npts - 1); i++){ + x[i] = Math.sin(hx * (double)(i)); + } + + u = uinit(x, npts, iuser, ruser); + + //Character (80) :: cwsav(10) + //Surely a better way of doing this? + for(int i = 0; i < 10; i++){ + StringBuilder builder = new StringBuilder(""); + for(int j = 0; j < 80; j++){ + builder.append(" "); + } + cwsav[i] = builder.toString(); + } + + for(int i = 0; i <5; i++){ + tout = 10 * tout; + + ifail = 0; + pdedef pdedef1 = new pdedef(); + bndary bndary1 = new bndary(); + D03PC d03pc = new D03PC(npde, m, ts, tout, pdedef1, bndary1, u, npts, x, acc, rsave, lrsave, + isave, lisave, itask, itrace, ind, iuser, ruser, cwsav, lwsav, iwsav, + rwsav, ifail); + d03pc.eval(); + + //update ind + ind = d03pc.getIND(); + + if(i == 0){ + System.out.printf("Accuracy requirement = \t%.5e\n Parameter ALPHA = \t%.3e\n", acc, alpha); + System.out.printf("T / X "); + for(int j = 0; j < xout.length; j++){ + System.out.printf("\t%.4f", xout[j]); + } + System.out.printf("\n"); + } + System.out.println(); + + //Interpolate at required spatial points + ifail = 0; + + D03PZ d03pz = new D03PZ(npde, m, u, npts, x, xout, intpts, itype, uout, ifail); + d03pz.eval(); + + System.out.printf("%.4f \tU(1)", tout); + for(int j = 0; j < intpts; j++){ + System.out.printf("\t%.4f ", uout[j * 2]); + } + System.out.printf("\n"); + System.out.printf("\tU(2)"); + for(int j = 0; j < intpts; j++){ + System.out.printf("\t%.4f ", uout[j * 2 + 1]); + } + System.out.printf("\n"); + System.out.println(); + } + + System.out.printf("Number of Integration steps in time\t\t\t%d\n", isave[0]); + System.out.printf("Number of residual evaluations of resulting ODE system\t%d\n", isave[1]); + System.out.printf("Number of Jacobian evaluations\t\t\t\t%d\n", isave[2]); + System.out.printf("Number of iterations of nonlinear solver\t\t%d\n", isave[4]); + } + + /** + * PDE initial condition + */ + public static double[] uinit(double[] x, int npts, int[] iuser, double[] ruser){ + double alpha = ruser[0]; + double[] u = new double[2 * npts]; + for(int i = 0; i < npts; i++){ + u[2 * i] = 2 * alpha * x[i]; + u[(2 * i) + 1] = 1; + } + return u; + } + + public static class pdedef extends D03PC.Abstract_D03PC_PDEDEF{ + public void eval(){ + double alpha = this.RUSER[0]; + this.Q[0] = 4 * alpha * (this.U[1] + (this.X * this.UX[1])); + this.Q[1] = 0; + this.R[0] = this.X * this.UX[0]; + this.R[1] = this.UX[1] - (this.U[0] * this.U[1]); + this.P[0] = 0; + this.P[1] = 0; + this.P[2] = 0; + this.P[3] = 1 - (this.X * this.X); + } + } + + public static class bndary extends D03PC.Abstract_D03PC_BNDARY{ + public void eval(){ + if(this.IBND == 0){ + this.BETA[0] = 0; + this.BETA[1] = 1; + this.GAMMA[0] = this.U[0]; + this.GAMMA[1] = -this.U[0] * this.U[1]; + } + else{ + this.BETA[0] = 1; + this.BETA[1] = 0; + this.GAMMA[0] = -this.U[0]; + this.GAMMA[1] = this.U[1]; + } + } + } + +} + + + diff --git a/simple_examples/source/int32/D03RAJE.java b/simple_examples/source/int32/D03RAJE.java new file mode 100644 index 0000000..88d49aa --- /dev/null +++ b/simple_examples/source/int32/D03RAJE.java @@ -0,0 +1,307 @@ +import com.nag.routines.D03.D03RA; +import com.nag.routines.D03.D03RA.D03RA_BNDARY; +import com.nag.routines.D03.D03RA.D03RA_MONITR; +import com.nag.routines.X01.X01AA; +import com.nag.routines.X02.X02AJ; +import java.util.Arrays; + +/** + * D03RA example program text. + * @author joed + */ +public class D03RAJE { + + public static final double ALPHA = 50.0; + public static final double BETA = 300.0; + public static final double XMAX = 1.0; + public static final double XMIN = 0.0; + public static final double YMAX = 1.0; + public static final double YMIN = 0.0; + public static final int ITRACE = 0; + public static final int NPDE = 1; + + public static D03RA d03ra = new D03RA(); + public static PDEDEF pdedef = new PDEDEF(); + public static BNDRY bndry = new BNDRY(); + public static PDEIV pdeiv = new PDEIV(); + public static MONIT monit = new MONIT(); + public static MONITDUMMY monitDummy = new MONITDUMMY(); + + public static void main(String[] args) { + double tols, tolt, tout, ts; + int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, npde, npts, nx, ny; + double[] dt, twant, optr, rwk; + int[] wklens, iwk, opti = new int[4]; + boolean[] lwk; + + // Run examples + System.out.println(" D03RAJ Example Program Results"); + System.out.println(); + + npts = 2000; + npde = NPDE; + + dt = new double[] {0.1e-2, 0.0, 0.0}; + twant = new double[] {0.24, 0.25}; + ts = 0.0; + + ind = 10; + nx = 41; + ny = 41; + tols = 0.5; + tolt = 0.01; + Arrays.fill(opti, 0); + opti[0] = 6; + maxlev = Math.max(opti[0], 3); + + wklens = computeWkspaceLens(maxlev, npde, npts); + lenrwk = wklens[0]; + leniwk = wklens[1]; + lenlwk = wklens[2]; + rwk = new double[lenrwk]; + iwk = new int[leniwk]; + lwk = new boolean[lenlwk]; + + optr = new double[3 * npde]; + Arrays.fill(optr, 1.0); + + for (int i = 0; i < 2; i++) { + tout = twant[i]; + ifail = 0; + if (i == 0) { + // Dummy monitor used to avoid output on first call + d03ra.eval( + npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, + tolt, pdedef, bndry, pdeiv, monitDummy, opti, optr, + rwk, lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail + ); + } + else { + d03ra.eval( + npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, + tolt, pdedef, bndry, pdeiv, monit, opti, optr, rwk, + lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail + ); + } + + ind = d03ra.getIND(); + ifail = d03ra.getIFAIL(); + ts = d03ra.getTS(); + + printStatistics(ts, iwk, maxlev); + + } + + } + + public static class PDEIV extends D03RA.Abstract_D03RA_PDEIV { + + public void eval() { + Arrays.fill(this.U, 1.0); + } + + } + + public static class PDEDEF extends D03RA.Abstract_D03RA_PDEDEF { + + private static final double ACTIV_ENERGY = 20.0; + private static final double DIFFUSION = 0.1; + private static final double HEAT_RELEASE = 1.0; + private static final double REACTION_RATE = 5.0; + + public void eval() { + + double damkohler; + + damkohler = REACTION_RATE * Math.exp(ACTIV_ENERGY) + / (HEAT_RELEASE * ACTIV_ENERGY); + + for (int col = 0; col < this.NPDE; col++) { + for (int row = 0; row < this.NPTS; row++) { + int idx = (col * this.NPTS) + row; + this.RES[idx] = this.UT[idx] + - (DIFFUSION * (this.UXX[idx] + this.UYY[idx])) + - (damkohler + * (1.0e0 + HEAT_RELEASE - this.U[idx]) + * Math.exp(-ACTIV_ENERGY / this.U[idx])); + } + } + + } + + } + + public static class BNDRY extends D03RA.Abstract_D03RA_BNDARY { + + public void eval() { + X02AJ x02aj = new X02AJ(); + double tol; + + // X02AJ returns machine precision + tol = 10.0 * x02aj.eval(); + + for (int i = 0; i < this.NBPTS; i++) { + int j = this.LBND[i] - 1; + + if (Math.abs(this.X[j]) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.UX[idx]; + } + } + else if (Math.abs(this.X[j] - 1.0) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.U[idx] - 1.0; + } + } + else if (Math.abs(this.Y[j]) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.UY[idx]; + } + } + else if (Math.abs(this.Y[j] - 1.0) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.U[idx] - 1.0; + } + } + } + + } + + } + + public static class MONIT extends D03RA.Abstract_D03RA_MONITR { + + public void eval() { + int ipsol, k, level, npts; + + if (TLAST) { + // Print solution + level = this.NLEV - 1; + npts = this.NGPTS[level]; + ipsol = this.LSOL[level]; + k = 0; + for (int i = 0; i < level; i++) { + k += this.NGPTS[i]; + } + + System.out.printf( + " Solution at every 4th grid point in level%10d" + + " at time %8.4f:%n%n", this.NLEV, this.T + ); + System.out.println( + " x y approx u\n" + ); + for (int i = 0; i < npts; i += 4) { + double ix = this.XPTS[k + i]; + double iy = this.YPTS[k + i]; + double isol = this.SOL[ipsol + i]; + System.out.printf( + " %11.4E %11.3E %11.3E%n", + ix, iy, isol + ); + } + System.out.println(); + + } + + } + + } + + public static class MONITDUMMY extends D03RA.Abstract_D03RA_MONITR { + + public void eval() { + return; + } + + } + + public static int[] computeWkspaceLens(int maxlev, int npde, int maxpts) { + int lenrwk, leniwk, lenlwk; + + lenrwk = (2 * maxpts * npde * ((5 * maxlev) + (18 * npde) + 9)) + + (2 * maxpts); + leniwk = (2 * maxpts * (14 + (5 * maxlev))) + + (7 * maxlev) + 2; + lenlwk = (2 * maxpts) + 400; + + return new int[] {lenrwk, leniwk, lenlwk}; + + } + + public static void printStatistics(double ts, int[] iwk, int maxlev) { + int[] istats = new int[4]; + + System.out.printf(" Statistics:%n"); + System.out.printf(" Time = %8.4f%n", ts); + System.out.printf( + " Total number of accepted timesteps =%5d%n", iwk[0] + ); + System.out.printf( + " Total number of rejected timesteps =%5d%n", iwk[1] + ); + System.out.printf( + "%n" + + " Total number (rounded) of%n" + + " Residual Jacobian Newton Lin sys%n" + + " evals evals iters iters%n" + + " At level %n" + ); + + for (int j = 0; j < maxlev; j++) { + if (iwk[j + 2] != 0) { + int idx = 0; + for (int i = j+2; i <= j+2+(3*maxlev); i += maxlev) { + istats[idx++] = iwk[i]; + } + istats = roundStatisics(istats); + System.out.printf("%8d", j + 1); + for (int i = 0; i < 4; i++) { + System.out.printf("%10d", istats[i]); + } + System.out.printf("%n"); + } + } + + System.out.printf( + "%n" + + " Maximum number of %n" + + " Newton iters Lin sys iters %n" + + " At level %n" + ); + + for (int j = 0; j < maxlev; j++) { + if (iwk[j+2] != 0) { + System.out.printf("%8d", j+1); + System.out.printf("%14d", iwk[j+2+(4*maxlev)]); + System.out.printf("%14d", iwk[j+2+(5*maxlev)]); + System.out.printf("%n"); + } + } + System.out.println(); + + } + + public static int[] roundStatisics(int[] istat) { + double lt; + int k; + + lt = Math.log(10.0); + for (int i = 0; i < istat.length; i++) { + // istat = 0 leads to div by 0 error, doesn't need rounding anyway + if (istat[i] != 0) { + k = (int) (Math.log((double) istat[i]) / lt); + k = (int) Math.pow(10, k); + istat[i] = k * ((istat[i] + k/2)/k); + } + } + + return istat; + + } + +} diff --git a/simple_examples/source/int32/D03RBJE.java b/simple_examples/source/int32/D03RBJE.java new file mode 100644 index 0000000..9b1b482 --- /dev/null +++ b/simple_examples/source/int32/D03RBJE.java @@ -0,0 +1,388 @@ +import com.nag.routines.D03.D03RB; +import com.nag.routines.D03.D03RZ; +import java.util.Arrays; + +/** + * D03RB example program text. + * @author joed + */ +public class D03RBJE { + + public static final int ITRACE = -1; + public static final int NPDE = 2; + public static final double[] TWANT = {0.25, 1.0}; + + public static boolean do_monitr; + public static int print_stats = 0; + + public static BNDARY bndary = new BNDARY(); + public static INIDOM inidom = new INIDOM(); + public static MONITR monitr = new MONITR(); + public static PDEDEF pdedef = new PDEDEF(); + public static PDEIV pdeiv = new PDEIV(); + + public static void main(String[] args) { + D03RB d03rb = new D03RB(); + double tols, tolt, tout, ts; + int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, mxlev, npts; + boolean[] lwk; + double[] optr, rwk, dt = new double[3]; + int[] iwk, opti = new int[4]; + + System.out.println(" D03RBJ Example Program Results"); + + npts = 3000; + mxlev = 7; + + leniwk = 10 * npts * (5 * mxlev + 14) + 2 + 7 * mxlev; + lenlwk = 20 * npts; + lenrwk = 20 * (npts * NPDE * (5 * mxlev + 9 + 18 * NPDE) + 2 * npts); + + rwk = new double[lenrwk]; + iwk = new int[leniwk]; + lwk = new boolean[lenlwk]; + optr = new double[3 * NPDE]; + + // Specify that we are starting the integration in time + // (ind = 0 normally). + ind = 10; + + ts = 0.0; + dt[0] = 0.001; + dt[1] = 1.0E-7; + dt[2] = 0.0; + tols = 0.1; + tolt = 0.05; + opti[0] = mxlev; + maxlev = opti[0]; + Arrays.fill(opti, 1, 4, 0); + Arrays.fill(optr, 1.0); + + // Call main routine + for (int iout = 1; iout <= 2; iout++) { + do_monitr = (iout == 2); + tout = TWANT[iout - 1]; + + ifail = 0; + d03rb.eval( + NPDE, ts, tout, dt, tols, tolt, inidom, pdedef, bndary, pdeiv, + monitr, opti, optr, rwk, lenrwk, iwk, leniwk, lwk, lenlwk, + ITRACE, ind, ifail + ); + ind = d03rb.getIND(); + ifail = d03rb.getIFAIL(); + ts = d03rb.getTS(); + + if (print_stats != 0) { + System.out.printf(" Statistics:\n"); + System.out.printf(" Time = %8.4f\n", ts); + System.out.printf( + " Total number of accepted timesteps =%5d\n", iwk[0] + ); + System.out.printf( + " Total number of rejected timesteps =%5d\n", iwk[1] + ); + System.out.println( + " Total number of " + + " maximum number of " + ); + System.out.println( + " Residual Jacobian Newton Newton " + ); + System.out.println( + " evals evals iters iters " + ); + System.out.println(" Level "); + + maxlev = opti[0]; + for (int j = 0; j < maxlev; j++) { + if (iwk[j+2] != 0) { + System.out.printf( + "%4d%10d%10d%10d%10d\n", + j+1, + iwk[j + 2 + 0*maxlev], + iwk[j + 2 + 1*maxlev], + iwk[j + 2 + 2*maxlev], + iwk[j + 2 + 4*maxlev] + ); + } + } + System.out.println(); + + } + + } + + } + + public static class PDEIV extends D03RB.Abstract_D03RB_PDEIV { + + public void eval(int NPTS, int NPDE, double T, double[] X, double[] Y, double[] U) { + this.setNPTS(NPTS); + this.setNPDE(NPDE); + this.setT(T); + this.setX(X); + this.setY(Y); + this.setU(U); + this.eval(); + } + + public void eval() { + double eps = 0.001, a; + + for (int i = 1; i <= this.NPTS; i++) { + a = (4.0 * (this.Y[i-1] - this.X[i-1]) - this.T) / (32.0 * eps); + if (a <= 0.0) { + this.U[getIdx(i, 1, this.NPTS)] + = 0.75 - 0.25 / (1.0 + Math.exp(a)); + this.U[getIdx(i, 2, this.NPTS)] + = 0.75 + 0.25 / (1.0 + Math.exp(a)); + } + else { + a = -a; + this.U[getIdx(i, 1, this.NPTS)] + = 0.75 - 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); + this.U[getIdx(i, 2, this.NPTS)] + = 0.75 + 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); + } + } + + } + + } + + public static class INIDOM extends D03RB.Abstract_D03RB_INIDOM { + + public void eval() { + int ifail, leniwk; + int[] icold, ilbndd, irowd, lbndd, llbndd, lrowd; + int[] iwk = new int[122]; + String[] pgrid = new String[11]; + + for (int i = 0; i < 11; i++) { + pgrid[i] = " "; + } + + icold = new int[]{ + 0,1,2,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5, + 6,7,8,9,10,0,1,2,3,4,5,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4, + 5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,0,1,2,3,4, + 5,6,7,8,0,1,2,3,4,5,6,7,8 + }; + + ilbndd = new int[]{ + 1,2,3,4,1,4,1,2,3,4,3,4,1,2,12,23,34,41,14,41,12,23,34,41,43,14, + 21,32 + }; + + irowd = new int[]{0,1,2,3,4,5,6,7,8,9,10}; + + lbndd = new int[]{ + 2,4,15,26,37,46,57,68,79,88,98,99,100,101,102,103,104,96,86,85, + 84,83,82,70,59,48,39,28,17,6,8,9,10,11,12,13,18,29,40,49,60,72, + 73,74,75,76,77,67,56,45,36,25,33,32,42,52,53,43,1,97,105,87,81, + 3,7,71,78,14,31,51,54,34 + }; + + llbndd = new int[]{ + 1,2,11,18,19,24,31,37,42,48,53,55,56,58,59,60,61,62,63,64,65,66, + 67,68,69,70,71,72 + }; + + lrowd = new int[]{1,4,15,26,37,46,57,68,79,88,97}; + + this.NX = 11; + this.NY = 11; + + // Check MAXPTS against rough estimate of NPTS. + this.NPTS = this.NX * this.NY; + if (this.MAXPTS < this.NPTS) { + this.IERR = -1; + return; + } + + this.XMIN = 0.0; + this.YMIN = 0.0; + this.XMAX = 1.0; + this.YMAX = 1.0; + + this.NROWS = 11; + this.NPTS = 105; + this.NBNDS = 28; + this.NBPTS = 72; + + for (int i = 0; i < this.NROWS; i++) { + this.LROW[i] = lrowd[i]; + this.IROW[i] = irowd[i]; + } + + for (int i = 0; i < this.NBNDS; i++) { + this.LLBND[i] = llbndd[i]; + this.ILBND[i] = ilbndd[i]; + } + + for (int i = 0; i < this.NBPTS; i++) { + this.LBND[i] = lbndd[i]; + } + + for (int i = 0; i < this.NPTS; i++) { + this.ICOL[i] = icold[i]; + } + + } + + } + + public static class PDEDEF extends D03RB.Abstract_D03RB_PDEDEF { + + public void eval() { + + double eps = 1E-3; + int n = this.NPTS; // For concise getIdx calls + + for (int i = 1; i <= n; i++) { + this.RES[getIdx(i, 1, n)] + = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 1, n)] + - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 1, n)] + + eps * (this.UXX[getIdx(i, 1, n)] + + this.UYY[getIdx(i, 1, n)]); + this.RES[getIdx(i, 2, n)] + = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 2, n)] + - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 2, n)] + + eps * (this.UXX[getIdx(i, 2, n)] + + this.UYY[getIdx(i, 2, n)]); + this.RES[getIdx(i, 1, n)] + = this.UT[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; + this.RES[getIdx(i, 2, n)] + = this.UT[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; + } + + } + + } + + public static class BNDARY extends D03RB.Abstract_D03RB_BNDARY { + + public void eval() { + + double a, eps = 1E-3; + int i, n = this.NPTS; + + for (int k = this.LLBND[0]; k <= this.NBPTS; k++) { + i = this.LBND[k - 1]; + a = (-4.0 * this.X[i - 1] + 4.0 * this.Y[i - 1] - this.T) + / (32.0 * eps); + + if (a <= 0.0) { + this.RES[getIdx(i, 1, n)] + = 0.75 - 0.25 / (1.0 + Math.exp(a)); + this.RES[getIdx(i, 2, n)] + = 0.75 + 0.25 / (1.0 + Math.exp(a)); + } + else { + a = -a; + this.RES[getIdx(i, 1, n)] + = 0.75 - (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); + this.RES[getIdx(i, 2, n)] + = 0.75 + (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); + } + + this.RES[getIdx(i, 1, n)] + = this.U[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; + this.RES[getIdx(i, 2, n)] + = this.U[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; + + } + + } + + } + + public static class MONITR extends D03RB.Abstract_D03RB_MONITR { + + public void eval() { + + D03RZ d03rz = new D03RZ(); + double aprxU, exctU, aprxV, exctV; + int maxpts = 6000; + int ifail, ipsol, npts; + double[] uex = new double[105*2], x = new double[maxpts], + y = new double[maxpts]; + + for (int level = 0; level < this.NLEV; level++) { + + if (!this.TLAST) { + break; + } + + ipsol = this.LSOL[level]; + + // Get grid information + ifail = -1; + npts = 0; + d03rz.eval( + level + 1, this.NLEV, this.XMIN, this.YMIN, this.DXB, + this.DYB, this.LGRID, this.ISTRUC, npts, x, y, maxpts, + ifail + ); + ifail = d03rz.getIFAIL(); + npts = d03rz.getNPTS(); + + if (ifail != 0) { + this.IERR = 1; + break; + } + + // Skip printing? + if (!do_monitr || (level != 0)) { + continue; + } + + // Get exact solution + pdeiv.eval(npts, this.NPDE, this.T, x, y, uex); + + System.out.println(); + System.out.printf( + " Solution at every 2nd grid point in level %d at" + + " time %8.4f:\n\n", level + 1, this.T + ); + System.out.print( + " x y approx u exact u approx v" + + " exact v\n\n" + ); + + ipsol = this.LSOL[level]; + + for (int i = 0; i < npts; i += 2) { + aprxU = this.SOL[ipsol + i]; + exctU = uex[getIdx(i+1, 1, npts)]; + aprxV = this.SOL[ipsol + npts + i]; + exctV = uex[getIdx(i+1, 2, npts)]; + System.out.printf( + " %9.2f %9.2f %9.2f %9.2f %9.2f %9.2f\n", + x[i], y[i], aprxU, exctU, aprxV, exctV + ); + } + System.out.println(); + + } + + } + + } + + /** + * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based + * Java index. + * + *

    Fortran array definition: + * a(dimX, *) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + +} diff --git a/simple_examples/source/int32/D05BAJE.java b/simple_examples/source/int32/D05BAJE.java new file mode 100644 index 0000000..7a8caf7 --- /dev/null +++ b/simple_examples/source/int32/D05BAJE.java @@ -0,0 +1,111 @@ +import com.nag.routines.D05.D05BA; +import com.nag.routines.X02.X02AJ; + +/** + * D05BAJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class D05BAJE{ + + /** + * D05BAJE main program + */ + public static void main(String[] args){ + double alim, h, hi, si, thresh, tlim, tol; + int ifail, iorder, lwk, nmesh = 6; + String method; + double[] errest, yn, work; + + errest = new double[nmesh]; + yn = new double[nmesh]; + + System.out.println("D05BAJ Example Program Results"); + + method = "A"; + iorder = 6; + alim = 0; + tlim = 20; + h = (tlim - alim) / (double) nmesh; + tol = 0.001; + X02AJ x02aj = new X02AJ(); + thresh = x02aj.eval(); + lwk = 10 * nmesh + 6; + work = new double[lwk]; + + //Loop until the supplied workspace is big enough + //breakflag used to exit loop + boolean breakflag = false; + while(true){ + ifail = 1; + + ck ck1 = new ck(); + cf cf1 = new cf(); + cg cg1 = new cg(); + + D05BA d05ba = new D05BA(ck1, cg1, cf1, method, iorder, alim, tlim, yn, errest, nmesh, + tol, thresh, work, lwk, ifail); + d05ba.eval(); + + //update + ifail = d05ba.getIFAIL(); + lwk = d05ba.getLWK(); + work = d05ba.getWORK(); + + switch(ifail){ + case 5: + lwk = (int) work[0]; + work = new double[lwk]; + break; + case 6: + lwk = (int) work[0]; + work = new double[lwk]; + break; + default: + breakflag = true; + } + + if(breakflag == true){ + break; + } + } + + if(ifail != 0){ + System.out.printf("D05BAJ exited with IFAIL = %d\n", ifail); + } + + System.out.println(); + System.out.printf("Size of workplace = %d\n", lwk); + System.out.printf("Tolerance = %.4e\n", tol); + System.out.println(); + System.out.print("T\tApprox. Sol.\tTrue Sol.\tEst. Error\tActual Error\n"); + for(int i = 0; i < nmesh; i++){ + hi = (double) (i + 1) * h; + si = sol(hi); + System.out.printf("%.2f\t%.5f\t\t%.5f\t\t%.5e\t%.5e\n", (alim + hi), yn[i], si, errest[i], Math.abs((yn[i] - si) / si)); + } + } + + private static double sol(double t){ + return Math.log(t + Math.exp(1)); + } + + public static class ck extends D05BA.Abstract_D05BA_CK{ + public double eval(){ + return Math.exp(-this.T); + } + } + + public static class cf extends D05BA.Abstract_D05BA_CF{ + public double eval(){ + return Math.exp(-this.T); + } + } + + public static class cg extends D05BA.Abstract_D05BA_CG{ + public double eval(){ + return (this.Y + Math.exp(-this.Y)); + } + } +} + diff --git a/simple_examples/source/int32/D05BEJE.java b/simple_examples/source/int32/D05BEJE.java new file mode 100644 index 0000000..f98bea3 --- /dev/null +++ b/simple_examples/source/int32/D05BEJE.java @@ -0,0 +1,185 @@ +import com.nag.routines.D05.D05BE; +import com.nag.routines.X01.X01AA; +import com.nag.routines.X02.X02AJ; + +/** + * D05BEJ example program text. + * @author willa + */ +public class D05BEJE{ + + private static final int iorder = 4; + private static final int nmesh = (int)(Math.pow(2, 6) + (2 * iorder) - 1); + private static final int nout = 6; + private static final int lct = nmesh / 32 + 1; + private static final int lwk = ((2 * iorder) + 6) * nmesh + (8 * iorder * iorder) - (16 * iorder) + 1; + + public static void main(String[] args){ + double err, errmax, h, hi1, soln = 0, t = 0, tlim, tolnl; + int ifail; + double[] work, yn; + int[] nct; + + work = new double[lwk]; + yn = new double[nmesh]; + nct = new int[lct]; + + System.out.println("D05BEJ Example Program Results"); + + X02AJ x02aj = new X02AJ(); + tlim = 7; + tolnl = Math.sqrt(x02aj.eval()); + h = tlim /(double) (nmesh - 1); + yn[0] = 0; + + ifail = 0; + + D05BE d05be = new D05BE(); + ck1 k1 = new ck1(); + cf1 f1 = new cf1(); + cg1 g1 = new cg1(); + d05be.eval(k1, f1, g1, "Initial", iorder, tlim, tolnl, nmesh, yn, work, lwk, nct, ifail); + + //UPDATE + yn = d05be.getYN(); + + System.out.println(); + System.out.println("Example 1"); + System.out.println(); + System.out.printf("The stepsize h = %.4f\n", h); + System.out.println(); + System.out.println("\tT\tApproximate"); + System.out.println("\t\tSolution"); + System.out.println(); + + errmax = 0; + + for(int i = 1; i < nmesh; i++){ + hi1 = (double) i * h; + err = Math.abs(yn[i] - sol1(hi1)); + + if(err > errmax){ + errmax = err; + t = hi1; + soln = yn[i]; + } + + if((i > 4) && (i % 5 == 0)){ + System.out.printf("\t%.4f\t%.4f\n", hi1, yn[i]); + } + } + + System.out.println(); + System.out.printf("The maximum absolute error, %.2e, occured at T = %.4f with solution %.4f\n", errmax, t, soln); + System.out.println(); + + tlim = 5; + h = tlim /(double) (nmesh - 1); + yn[0] = 1; + + ifail = 0; + + ck2 k2 = new ck2(); + cf2 f2 = new cf2(); + cg2 g2 = new cg2(); + d05be.eval(k2, f2, g2, "Subsequent", iorder, tlim, tolnl, nmesh, yn, work, lwk, nct, ifail); + + //UPDATE + yn = d05be.getYN(); + + System.out.println(); + System.out.println("Example 2"); + System.out.println(); + System.out.printf("The stepsize h = %.4f\n", h); + System.out.println(); + System.out.println("\tT\tApproximate"); + System.out.println("\t\tSolution"); + System.out.println(); + + errmax = 0; + + for(int i = 0; i < nmesh; i++){ + hi1 = (double) i * h; + err = Math.abs(yn[i] - sol2(hi1)); + if(err > errmax){ + errmax = err; + t = hi1; + soln = yn[i]; + } + + if((i > 6) && (i % 7 == 0)){ + System.out.printf("\t%.4f\t%.4f\n", hi1, yn[i]); + } + } + + System.out.println(); + System.out.printf("The maximum absolute error, %.2e, occured at T = %.4f with solution %.4f\n", errmax, t, soln); + } + + private static double sol1(double t){ + double c, pi, t1, x = 0; + + //x is dummy variable + X01AA x01aa = new X01AA(x); + pi = x01aa.eval(); + + t1 = 1 + t; + c = 1 / Math.sqrt(2 * pi); + + return (c * (1 / Math.pow(t, 1.5)) * Math.exp((-t1 * t1) / (2 * t))); + } + + private static double sol2(double t){ + return (1 / (1 + t)); + } + + private static class ck1 extends D05BE.Abstract_D05BE_CK{ + public double eval(){ + return (Math.exp(-0.5 * this.T)); + } + } + + private static class ck2 extends D05BE.Abstract_D05BE_CK{ + double pi, x = 0; + + public double eval(){ + X01AA x01aa = new X01AA(x); + pi = x01aa.eval(); + return Math.sqrt(pi); + } + } + + private static class cf1 extends D05BE.Abstract_D05BE_CF{ + double a, pi, t1, x = 0; + + public double eval(){ + X01AA x01aa = new X01AA(x); + pi = x01aa.eval(); + + t1 = 1 + this.T; + a = 1 / Math.sqrt(pi * this.T); + return (-a * Math.exp((-0.5 * t1 * t1) / this.T)); + } + } + + private static class cf2 extends D05BE.Abstract_D05BE_CF{ + double st1; + + public double eval(){ + st1 = Math.sqrt(1 + this.T); + return ((-2 * Math.log(st1 + Math.sqrt(this.T))) / st1); + } + } + + private static class cg1 extends D05BE.Abstract_D05BE_CG{ + public double eval(){ + return this.Y; + } + } + + private static class cg2 extends D05BE.Abstract_D05BE_CG{ + public double eval(){ + return this.Y; + } + } +} diff --git a/simple_examples/source/int32/DTFSMJE.java b/simple_examples/source/int32/DTFSMJE.java new file mode 100644 index 0000000..a88b114 --- /dev/null +++ b/simple_examples/source/int32/DTFSMJE.java @@ -0,0 +1,54 @@ +import com.nag.routines.F01.DTRTTF; +import com.nag.routines.F06.DTFSM; +import com.nag.routines.X04.X04CA; + +/** + * DTFSM example program text. Adapted from f06wbfe.f90 + * @author joed + */ +public class DTFSMJE { + + public static void main(String[] args) { + + double alpha = 4.21; + int ifail = 0, info = 0, m = 6, n = 4; + String side = "L", trans = "N", transr = "N", uplo = "L"; + DTFSM dtfsm = new DTFSM(); + DTRTTF dtrttf = new DTRTTF(); + X04CA x04ca = new X04CA(); + + System.out.println(" DTFSMJ Example Program Results\n"); + + // Set lower triangle of matrix A + double[] a = new double[m*m]; + for (int i = 0; i < m; i++) { + for (int j = 0; j < m; j++) { + a[i*m+j] = (j >= i) ? j+1 : 0; + } + } + + // Set matrix B + double[] b = new double[] { + 3.22, 1.64, 1.87, 5.20, 1.83, -1.10, + 1.37, 1.80, 2.87, -2.99, -2.71, -0.63, + 2.31, 0.38, 2.02, -0.91, -2.81, -0.50, + 0.29, -1.52, -0.80, -3.87, -1.13, 0.81 + }; + + // Convert A to rectangular full packed storage in ar + double[] ar = new double[(m*(m+1))/2]; + info = 0; + dtrttf.eval(transr, uplo, m, a, m, ar, info); + info = dtrttf.getINFO(); + + // Perform the matrix-matrix operation + dtfsm.eval(transr, side, uplo, trans, "N", m, n, alpha, ar, b, m); + + // Print result + ifail = 0; + x04ca.eval("General", " ", m, n, b, m, "The Solution", ifail); + ifail = x04ca.getIFAIL(); + + } + +} diff --git a/simple_examples/source/int32/E01DAJE.java b/simple_examples/source/int32/E01DAJE.java new file mode 100644 index 0000000..10c008f --- /dev/null +++ b/simple_examples/source/int32/E01DAJE.java @@ -0,0 +1,182 @@ +import com.nag.routines.E01.E01DA; +import com.nag.routines.E02.E02DF; + +/** + * E01DA example program text. + */ +public class E01DAJE { + + public static void main(String[] args) { + + int mx = 7, my = 6, ifail = -1; + double[] x = new double[mx]; + double[] y = new double[my]; + double[] f = new double[mx*my]; + double[] lamda = new double[mx+4]; + double[] mu = new double[my+4]; + double[] c = new double[mx*my]; + double[] wrk = new double[(mx+6)*(my+6)]; + + int nx = 6, ny = 6, px = 0, py = 0; + double xlo = 1.0, xhi = 2.0; + double ylo = 0.0, yhi = 1.0; + + E01DA e01da = new E01DA(); + + // Input X, Y and function values on X-Y grid + x[0] = 1.00; + x[1] = 1.10; + x[2] = 1.30; + x[3] = 1.50; + x[4] = 1.60; + x[5] = 1.80; + x[6] = 2.00; + + y[0] = 0.00; + y[1] = 0.10; + y[2] = 0.40; + y[3] = 0.70; + y[4] = 0.90; + y[5] = 1.00; + + // On entry: F[my*(q-1)+r-1] must contain f(q,r), for q=1,2,...,mx + // and r=1,2,...,my. + f[0] = 1.00; + f[1] = 1.10; + f[2] = 1.40; + f[3] = 1.70; + f[4] = 1.90; + f[5] = 2.00; + f[6] = 1.21; + f[7] = 1.31; + f[8] = 1.61; + f[9] = 1.91; + f[10] = 2.11; + f[11] = 2.21; + f[12] = 1.69; + f[13] = 1.79; + f[14] = 2.09; + f[15] = 2.39; + f[16] = 2.59; + f[17] = 2.69; + f[18] = 2.25; + f[19] = 2.35; + f[20] = 2.65; + f[21] = 2.95; + f[22] = 3.15; + f[23] = 3.25; + f[24] = 2.56; + f[25] = 2.66; + f[26] = 2.96; + f[27] = 3.26; + f[28] = 3.46; + f[29] = 3.56; + f[30] = 3.24; + f[31] = 3.34; + f[32] = 3.64; + f[33] = 3.94; + f[34] = 4.14; + f[35] = 4.24; + f[36] = 4.00; + f[37] = 4.10; + f[38] = 4.40; + f[39] = 4.70; + f[40] = 4.90; + f[41] = 5.00; + + System.out.printf(" E01DAJ Example Program Results\n\n"); + e01da.eval(mx, my, x, y, f, px, py, lamda, mu, c, wrk, ifail); + + ifail = e01da.getIFAIL(); + switch (ifail) { + case 0: + System.out.printf(" I Knot LAMDA(I) J Knot MU(j)\n"); + for (int i = 3; i <= Math.max(mx,my); ++i) { + if (i <= mx) { + System.out.printf("%4d %9.4f", i+1, lamda[i]); + } + else { + System.out.printf(" "); + } + if (i <= my) { + System.out.printf("%8d %9.4f\n", i+1, mu[i]); + } + else { + System.out.printf("\n"); + } + } + System.out.printf("\n The B-Spline coefficients:\n"); + for (int i = 0; i < mx*my; ++i) { + System.out.printf("%9.4f", c[i]); + if ((i+1)%8 == 0) { + System.out.printf("\n"); + } + } + System.out.printf("\n"); + break; + default: + System.out.printf("\n Error detected by E01DA: %d\n", ifail); + } + + /* Evaluate the spline on a regular rectangular grid at nx*ny points + over the domain [xlo,xhi] x [ylo,yhi]. */ + px = e01da.getPX(); + py = e01da.getPY(); + int liwrk; + int lwrk = Math.min(4*nx+px, 4*ny+py); + if (4*nx+px > 4*ny+py) { + liwrk = ny + py - 4; + } + else { + liwrk = nx + px - 4; + } + double[] tx = new double[nx]; + double[] ty = new double[ny]; + double[] ff = new double[nx*ny]; + wrk = new double[lwrk]; + int[] iwrk = new int[liwrk]; + + /* Generate nx/ny equispaced x/y co-ordinates */ + double step = (xhi-xlo)/(nx-1); + tx[0] = xlo; + for (int i = 1; i < nx-1; i++) { + tx[i] = tx[i-1] + step; + } + tx[nx-1] = xhi; + + step = (yhi-ylo)/(ny-1); + ty[0] = ylo; + for (int i = 1; i < ny-1; i++) { + ty[i] = ty[i-1] + step; + } + ty[ny-1] = yhi; + + /* Evaluate the spline. */ + E02DF e02df = new E02DF(); + ifail = 0; + e02df.eval(nx,ny,px,py,tx,ty,lamda,mu,c,ff,wrk,lwrk,iwrk,liwrk,ifail); + + ifail = e02df.getIFAIL(); + switch (ifail) { + case 0: + System.out.printf("\n Spline evaluated on a regular mesh (X across, Y down):\n"); + System.out.printf(" "); + for (int i = 0; i < nx; ++i) { + System.out.printf(" %5.2f ", tx[i]); + } + System.out.printf("\n"); + for (int i = 0; i < ny; ++i) { + System.out.printf(" %5.2f ", ty[i]); + for (int j = 0; j < nx; ++j) { + System.out.printf(" %8.3f", ff[ny*j+i]); + } + System.out.printf("\n"); + } + break; + default: + System.out.printf("\n Error detected by E02DF: %d\n", ifail); + } + + } + +} diff --git a/simple_examples/source/int32/E02ALJE.java b/simple_examples/source/int32/E02ALJE.java new file mode 100644 index 0000000..372f125 --- /dev/null +++ b/simple_examples/source/int32/E02ALJE.java @@ -0,0 +1,101 @@ +import com.nag.routines.E02.E02AL; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * E02ALJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class E02ALJE{ + + /** + * E02ALJ Example main program + */ + public static void main(String[] args){ + double dxx, ref = 0, s, t, xx; + int ifail, n = 0, m = 0, neval = 0; //placeholders + double[] a, x, y; + + a = new double[0]; + x = new double[0]; + y = new double[0]; //placeholders + + System.out.println("E02ALJ Example Program Results"); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[1]); + m = Integer.parseInt(sVal[2]); + neval = Integer.parseInt(sVal[3]); + + a = new double[m + 1]; + x = new double[n]; + y = new double[n]; + + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + x[i] = Double.parseDouble(sVal[1]); + y[i] = Double.parseDouble(sVal[2]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + System.exit(-2); + } + + ifail = 0; + E02AL e02al = new E02AL(n, x, y, m, a, ref, ifail); + e02al.eval(); + + //update + ref = e02al.getREF(); + x = e02al.getX(); + y = e02al.getY(); + + + System.out.println(); + System.out.printf(" Polynomial coefficients\n"); + for(int i = 0; i <= m; i++){ + System.out.printf("\t%.4e\n", a[i]); + } + System.out.println(); + System.out.printf(" Reference deviation = %.2e\n", ref); + System.out.println(); + System.out.printf("\tX\tFit\texp(x)\tResidual\n"); + + dxx = 1/(double)(neval - 1); + + for(int j = 0; j < neval; j++){ + xx = (double) j * dxx; + + s = a[m]; + + for(int i = m - 1; i >=0; i--){ + s = s * xx + a[i]; + } + + t = Math.exp(xx); + System.out.printf("\t%.2f\t%.4f\t%.4f\t%.2e\n", xx, s, t, (s - t)); + } + } +} + diff --git a/simple_examples/source/int32/E04ABJE.java b/simple_examples/source/int32/E04ABJE.java new file mode 100644 index 0000000..773f1ff --- /dev/null +++ b/simple_examples/source/int32/E04ABJE.java @@ -0,0 +1,76 @@ +import com.nag.routines.E04.E04AB; + +/** + * E04ABJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class E04ABJE{ + + /** + * E04ABJE main program + */ + public static void main(String[] args){ + double a, b, e1, e2, f = 0, x = 0; //placeholders + int ifail, maxcal; + double[] ruser; + int[] iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println("E04ABJ Example Program Results"); + + //e1 and e2 are set to zero so that E04ABA will reset them to their default values + + e1 = 0; + e2 = 0; + + //The minimum is known to lie in the range (3.5, 5.0) + + a = 3.5; + b = 5.0; + + //Allow 30 calls of FUNCT + + maxcal = 30; + + ifail = -1; + funct funct1 = new funct(); + E04AB e04ab = new E04AB(funct1, e1, e2, a, b, maxcal, x, f, iuser, ruser, ifail); + e04ab.eval(); + + //update + ifail = e04ab.getIFAIL(); + a = e04ab.getA(); + b = e04ab.getB(); + x = e04ab.getX(); + f = e04ab.getF(); + maxcal = e04ab.getMAXCAL(); + + switch(ifail){ + case 0: + System.out.println(); + System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); + System.out.printf("Its estimated position is %.8f,\n", x); + System.out.printf("where the function value is %.4f\n", f); + System.out.printf("%d function evaluations were required\n", maxcal); + break; + case 2: + System.out.println(); + System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); + System.out.printf("Its estimated position is %.8f,\n", x); + System.out.printf("where the function value is %.4f\n", f); + System.out.printf("%d function evaluations were required\n", maxcal); + break; + default: + break; + } + } + + public static class funct extends E04AB.Abstract_E04AB_FUNCT{ + public void eval(){ + FC = Math.sin(this.XC) / this.XC; + } + } +} diff --git a/simple_examples/source/int32/E04BBJE.java b/simple_examples/source/int32/E04BBJE.java new file mode 100644 index 0000000..d7032f5 --- /dev/null +++ b/simple_examples/source/int32/E04BBJE.java @@ -0,0 +1,81 @@ +import com.nag.routines.E04.E04BB; + +/** + * E04BBJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class E04BBJE{ + + /** + * E04BBJE main program + */ + public static void main(String[] args){ + double a, b, e1, e2, f = 0, g = 0, x = 0; //placeholders + int ifail, maxcal; + double[] ruser; + int[] iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println("E04BBJ Example Program Results"); + + //e1 and e2 are set to zero so that E04BBA will reset them to their default values + + e1 = 0; + e2 = 0; + + //The minimum is known to lie in the range (3.5, 5.0) + + a = 3.5; + b = 5.0; + + //Allow 30 calls of FUNCT + + maxcal = 30; + + ifail = -1; + funct funct1 = new funct(); + E04BB e04bb = new E04BB(funct1, e1, e2, a, b, maxcal, x, f, g, iuser, ruser, ifail); + e04bb.eval(); + + //update + a = e04bb.getA(); + b = e04bb.getB(); + maxcal = e04bb.getMAXCAL(); + x = e04bb.getX(); + f = e04bb.getF(); + g = e04bb.getG(); + ifail = e04bb.getIFAIL(); + + switch(ifail){ + case 0: + System.out.println(); + System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); + System.out.printf("Its estimated position is %.8f,\n", x); + System.out.printf("where the function value is %.4f\n", f); + System.out.printf("and the gradient is %.1e (machine dependent)\n", g); + System.out.printf("%d function evaluations were required\n", maxcal); + break; + case 2: + System.out.println(); + System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); + System.out.printf("Its estimated position is %.8f,\n", x); + System.out.printf("where the function value is %.4f\n", f); + System.out.printf("and the gradient is %.1e (machine dependent)\n", g); + System.out.printf("%d function evaluations were required\n", maxcal); + break; + default: + break; + } + } + + public static class funct extends E04BB.Abstract_E04BB_FUNCT{ + public void eval(){ + this.FC = Math.sin(this.XC) / this.XC; + this.GC = (Math.cos(this.XC) - this.FC)/this.XC; + } + } +} + diff --git a/simple_examples/source/int32/E04CBJE.java b/simple_examples/source/int32/E04CBJE.java new file mode 100644 index 0000000..fbde674 --- /dev/null +++ b/simple_examples/source/int32/E04CBJE.java @@ -0,0 +1,90 @@ +import com.nag.routines.E04.E04CB; +import com.nag.routines.E04.E04CBK; +import com.nag.routines.X02.X02AJ; + +/** + * E04CBJ Example Program text + * @author willa + * @since 27.1.0.0 + */ +public class E04CBJE{ + + /** + * E04CBJE main program + */ + public static void main(String[] args){ + int n = 2, ifail, maxcal; + double f = 0, tolf, tolx; //placeholders + boolean monitoring; + int[] iuser; + double[] ruser, x; + + iuser = new int[1]; + ruser = new double[1]; + x = new double[n]; + + System.out.println("E04CBJ Example Program Results"); + + //Set monitoring to true to obtain monitoring information + monitoring = false; + + x[0] = -1.0; + x[1] = 1.0; + X02AJ x02aj = new X02AJ(); + tolf = Math.sqrt(x02aj.eval()); + tolx = Math.sqrt(tolf); + maxcal = 100; + + ifail = 0; + + funct funct1 = new funct(); + if(!monitoring){ + defMonit monit = new defMonit(); + E04CB e04cb = new E04CB(n, x, f, tolf, tolx, funct1, monit, maxcal, iuser, ruser, ifail); + e04cb.eval(); + } + else{ + myMonit monit = new myMonit(); + E04CB e04cb = new E04CB(n, x, f, tolf, tolx, funct1, monit, maxcal, iuser, ruser, ifail); + e04cb.eval(); + } + + System.out.println(); + System.out.printf("The final function value is \t%.4f\n", f); + System.out.printf("at the point\t"); + for(int i = 0; i < n; i++){ + System.out.printf("%.4f\t", x[i]); + } + System.out.printf("\n"); + } + + public static class funct extends E04CB.Abstract_E04CB_FUNCT{ + public void eval(){ + this.FC = Math.exp(this.XC[0]) * ((4 * this.XC[0] * (this.XC[0] + this.XC[1])) + (2 * this.XC[1] * (this.XC[1] + 1) + 1)); + } + } + + public static class myMonit extends E04CB.Abstract_E04CB_MONIT{ + public void eval(){ + System.out.println(); + System.out.printf("There have been %d function calls\n", this.NCALL); + System.out.printf("The smallest function value is %.4f\n", this.FMIN); + System.out.printf("The simplex is\n"); + for(int i = 0; i <= this.N; i++){ + for(int j = 0; j < this.N; j++){ + System.out.printf("%.4f\t", this.SIM[(j * (this.N + 1)) + i]); + } + System.out.printf("\n"); + } + System.out.printf("The standard deviation in function values of the vertices of the simplex is %.4f\n", this.SERROR); + System.out.printf("The linearized volume ratio of the current simplex to the starting one is %.4f\n", this.VRATIO); + } + } + + //This is how to use NAG supplied function as argument + public static class defMonit extends E04CBK implements E04CB.E04CB_MONIT{ + public void eval(){ + super.eval(); + } + } +} diff --git a/simple_examples/source/int32/E04FCJE.java b/simple_examples/source/int32/E04FCJE.java new file mode 100644 index 0000000..939f68d --- /dev/null +++ b/simple_examples/source/int32/E04FCJE.java @@ -0,0 +1,420 @@ +import com.nag.routines.E04.E04FC; +import com.nag.routines.F06.DDOT; +import com.nag.routines.F06.DGEMV; +import com.nag.routines.X02.X02AJ; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.IOException; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * E04FC example program text. + * @author ludovic + */ +public class E04FCJE { + + public static void main(String[] args) { + + BufferedReader dataIn = null; + + try { + E04FC e04fc = new E04FC(); + System.out.println(" E04FCJ Example Program Results"); + dataIn = new BufferedReader(new FileReader(args[0])); + //skip header + dataIn.readLine(); + + int inc1 = 1, liw = 1, m, ldfjac = m = 15, n, ldv = n = 3, nt = 3, + lw = 6 * n + m * n + 2 * m + n * (n - 1) / 2; + String trans = "T"; + + double eta, fsumsq, stepmx, xtol; + eta = fsumsq = stepmx = xtol = Double.NaN; + int ifail, iprint, maxcal, nf, niter; + ifail = iprint = maxcal = nf = niter = 0; + double[] fjac = new double[m * n], + fvec = new double[m], + g = new double[n], + s = new double[n], + v = new double[ldv * n], + w = new double[lw], + x = new double[n], + y = new double[m], + t = new double[m * nt]; + + + int[] iw = new int[liw]; + + for (int i = 0; i < m; ++i) { + String[] line = dataIn.readLine().trim().split("\\s+"); + if (line.length != nt + 1) { + System.err.println("Error in data file - only " + line.length + + " records at line " + (i + 2) + " while expecting " + (nt + 1) + + " elements"); + System.exit(1); + } + y[i] = Double.parseDouble(line[0].replaceAll("D", "E")); // java doesn't know the D format + for (int j = 1; j <= nt; ++j) { + t[i + (j - 1) * m] = Double.parseDouble(line[j].replaceAll("D", "E")); + } + } + + // Set IPRINT to 1 to obtain output from LSQMON at each iteration + iprint = -1; + + maxcal = 400 * n; + eta = 0.5; + xtol = 10.0 * Math.sqrt((new X02AJ()).eval()); + + // We estimate that the minimum will be within 10 units of the starting point + stepmx = 10.0; + + // Set up the starting point + x[0] = 0.5; + x[1] = 1.0; + x[2] = 1.5; + + ifail = -1; + + LSQFUN lsqfun = new LSQFUN(); + lsqfun.t = t; + lsqfun.y = y; + LSQMON lsqmon = new LSQMON(); + + e04fc.eval(m, n, lsqfun, lsqmon, iprint, maxcal, eta, xtol, stepmx, x, fsumsq, + fvec, fjac, ldfjac, s, v, ldv, niter, nf, iw, liw, w, lw, ifail); + + ifail = e04fc.getIFAIL(); + + + switch (ifail) { + case (1): + System.err.println("Unexpected ifail = " + ifail); + break; + default: + System.out.println(); + System.out.printf(" On exit, the sum of squares is %12.4f\n", e04fc.getFSUMSQ()); + System.out.printf(" at the point %12.4f %12.4f %12.4f\n", x[0], x[1], x[2]); + lsqgrd(m, n, fvec, fjac, ldfjac, g); + System.out.print(" The estimated gradient is "); + for (int i = 0; i < n; ++i) { + System.out.printf(" %12.3e\t", g[i]); + } + System.out.println(); + System.out.println(" (machine dependent)"); + System.out.println(" and the residuals are"); + for (int i = 0; i < m; ++i) { + System.out.printf(" %9.1e\n", fvec[i]); + } + } + + + + } + catch (Exception ex) { + Logger.getLogger(E04FCJE.class.getName()).log(Level.SEVERE, null, ex); + } + finally { + try { + dataIn.close(); + } + catch (IOException ex) { + Logger.getLogger(E04FCJE.class.getName()).log(Level.SEVERE, null, ex); + } + } + + + } + + public static void lsqgrd(int m, int n, double[] fvec, double[] fjac, int ldfjac, double[] g) { + DGEMV dgemv = new DGEMV("T", m, n, 1.0, fjac, ldfjac, fvec, 1, 0.0, g, 1); + dgemv.eval(); + for (int i = 0; i < g.length; ++i) { + g[i] = 2.0 * g[i]; + } + } + + public static class LSQFUN implements E04FC.E04FC_LSQFUN { + + public double[] t, y; + int IFLAG, M, N, LW, LIW; + double[] XC, FVEC, W; + int[] IW; + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setM(int M) { + this.M = M; + } + + @Override + public int getM() { + return M; + } + + @Override + public void setN(int N) { + this.N = N; + } + + @Override + public int getN() { + return N; + } + + @Override + public void setXC(double[] XC) { + this.XC = XC; + } + + @Override + public double[] getXC() { + return XC; + } + + @Override + public void setFVEC(double[] FVEC) { + this.FVEC = FVEC; + } + + @Override + public double[] getFVEC() { + return FVEC; + } + + @Override + public void setIW(int[] IW) { + this.IW = IW; + } + + @Override + public int[] getIW() { + return IW; + } + + @Override + public void setLIW(int LIW) { + this.LIW = LIW; + } + + @Override + public int getLIW() { + return LIW; + } + + @Override + public void setW(double[] W) { + this.W = W; + } + + @Override + public double[] getW() { + return W; + } + + @Override + public void setLW(int LW) { + this.LW = LW; + } + + @Override + public int getLW() { + return LW; + } + + @Override + public void eval(int IFLAG, int M, int N, double[] XC, double[] FVEC, + int[] IW, int LIW, double[] W, int LW) { + for (int i = 0; i < M; ++i) { + FVEC[i] = XC[0] + t[i] / (XC[1] * t[i + M] + XC[2] * t[i + 2 * M]) - y[i]; + } + } + + } + + public static class LSQMON implements E04FC.E04FC_LSQMON { + + int M, N, LDFJAC, NITER, NF, IGRADE, LIW, LW; + int[] IW; + double[] XC, FVEC, FJAC, S, W; + + @Override + public void setM(int M) { + this.M = M; + } + + @Override + public int getM() { + return M; + } + + @Override + public void setN(int N) { + this.N = N; + } + + @Override + public int getN() { + return N; + } + + @Override + public void setXC(double[] XC) { + this.XC = XC; + } + + @Override + public double[] getXC() { + return XC; + } + + @Override + public void setFVEC(double[] FVEC) { + this.FVEC = FVEC; + } + + @Override + public double[] getFVEC() { + return FVEC; + } + + @Override + public void setFJAC(double[] FJAC) { + this.FJAC = FJAC; + } + + @Override + public double[] getFJAC() { + return FJAC; + } + + @Override + public void setLDFJAC(int LDFJAC) { + this.LDFJAC = LDFJAC; + } + + @Override + public int getLDFJAC() { + return LDFJAC; + } + + @Override + public void setS(double[] S) { + this.S = S; + } + + @Override + public double[] getS() { + return S; + } + + @Override + public void setIGRADE(int IGRADE) { + this.IGRADE = IGRADE; + } + + @Override + public int getIGRADE() { + return IGRADE; + } + + @Override + public void setNITER(int NITER) { + this.NITER = NITER; + } + + @Override + public int getNITER() { + return NITER; + } + + @Override + public void setNF(int NF) { + this.NF = NF; + } + + @Override + public int getNF() { + return NF; + } + + @Override + public void setIW(int[] IW) { + this.IW = IW; + } + + @Override + public int[] getIW() { + return IW; + } + + @Override + public void setLIW(int LIW) { + this.LIW = LIW; + } + + @Override + public int getLIW() { + return LIW; + } + + @Override + public void setW(double[] W) { + this.W = W; + } + + @Override + public double[] getW() { + return W; + } + + @Override + public void setLW(int LW) { + this.LW = LW; + } + + @Override + public int getLW() { + return LW; + } + + @Override + public void eval(int M, int N, double[] XC, double[] FVEC, double[] FJAC, + int LDFJAC, double[] S, int IGRADE, int NITER, int NF, int[] IW, + int LIW, double[] W, int LW) { + + int ndec = 3; + double fsumsq, gtg; + double[] g = new double[ndec]; + DDOT ddot = new DDOT(M, FVEC, 1, FVEC, 1); + fsumsq = ddot.eval(); + + lsqgrd(M, N, FVEC, FJAC, LDFJAC, g); + + gtg = ddot.eval(N, g, 1, g, 1); + // 99998 Format (1X,1P,E13.5,10X,1P,E9.1,10X,1P,E9.1) + System.out.println(); + System.out.println(" Itn F evals SUMSQ GTG Grade"); + System.out.printf(" %4d %5d %13.5e %9.1e %3d\n", + NITER, NF, fsumsq, gtg, IGRADE); + System.out.println(); + System.out.println(" X G Singular values"); + for (int j = 0; j < N; ++j) { + System.out.printf(" %13.5e %9.1e %9.1e\n",XC[j], g[j], S[j]); + } + + } + + } + +} diff --git a/simple_examples/source/int32/E04FFJE.java b/simple_examples/source/int32/E04FFJE.java new file mode 100644 index 0000000..ad81e32 --- /dev/null +++ b/simple_examples/source/int32/E04FFJE.java @@ -0,0 +1,140 @@ +import com.nag.routines.E04.E04FF; +import com.nag.routines.E04.E04FFU; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RM; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04ZM; +import java.util.Arrays; + +/** + * E04FF example program text. + * @author joed + */ +public class E04FFJE { + + public static void main(String[] args) { + double infbnd = 1.0e20; + double[] lx, rx, ux, x, ruser, pdy, pdz; + double[] rinfo = new double[100], stats = new double[100]; + int ifail, isparse, nnzrd, nres, nvar, pdny, pdnz; + int[] iuser; + int[] icolrd = new int[1], irowrd = new int[1]; + long cpuser, handle; // c_ptr + MONIT monit = new MONIT(); + OBJFUN objfun = new OBJFUN(); + + /* Header */ + System.out.printf(" E04FFJ Example Program Results\n\n"); + + /* Fill problem data structure */ + pdny = 11; + pdnz = 11; + pdy = new double[] { + 4.0e0, 2.0e0, 1.0e0, 5.0e-1, 2.5e-1, 1.67e-1, 1.25e-1, 1.0e-1, + 8.33e-2, 7.14e-2, 6.25e-2 + }; + pdz = new double[] { + 1.957e-1, 1.947e-1, 1.735e-1, 1.6e-1, 8.44e-2, 6.27e-2, 4.56e-2, + 3.42e-2, 3.23e-2, 2.35e-2, 2.46e-2 + }; + nvar = 4; + nres = 11; + + /* Initialize handle */ + E04RA e04ra = new E04RA(); + handle = 0; + ifail = 0; // hard fail + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + /* Define residuals structure */ + E04RM e04rm = new E04RM(); + isparse = 0; // Dense => irowrd and icolrd are not accessed + nnzrd = 1; + ifail = 0; + e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); + + /* Set options */ + E04ZM e04zm = new E04ZM(); + ifail = 0; + e04zm.eval(handle, "DFLS Trust Region Tolerance = 5.0e-6", ifail); + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + + /* Define starting point */ + x = new double[] {0.25, 0.39, 0.415, 0.39}; + rx = new double[nres]; + + /* Define bounds for the second and the fourth variable */ + E04RH e04rh = new E04RH(); + lx = new double[] {-infbnd, 0.2, -infbnd, 0.3}; + ux = new double[] {infbnd, 1.0, infbnd, infbnd}; + ifail = 0; + e04rh.eval(handle, nvar, lx, ux, ifail); + + /* Call the solver */ + E04FF e04ff = new E04FF(); + ifail = -1; + iuser = new int[] {pdny, pdnz}; + ruser = new double[2 * nres]; + cpuser = 0L; + for (int i = 0; i < nres; i++) { + ruser[i] = pdy[i]; + ruser[nres + i] = pdz[i]; + } + e04ff.eval(handle, objfun, monit, nvar, x, nres, rx, rinfo, stats, + iuser, ruser, cpuser, ifail); + + /* Free handle memory */ + E04RZ e04rz = new E04RZ(); + ifail = 0; + e04rz.eval(handle, ifail); + + } + + public static class OBJFUN extends E04FF.Abstract_E04FF_OBJFUN { + + public void eval() { + int pdny, pdnz; + double r1, r2; + double[] pdy, pdz; + + /* Interrupt solver if the dimensions are incorrect */ + if (this.NRES != 11 || this.NVAR != 4) { + this.INFORM = -1; + return; + } + + /* Extract the problem data structure from the workspaces */ + pdny = this.IUSER[0]; + pdnz = this.IUSER[1]; + if (pdny != this.NRES || pdnz != this.NRES) { + this.INFORM = -1; + return; + } + pdy = Arrays.copyOfRange(this.RUSER, 0, pdny); + pdz = Arrays.copyOfRange(this.RUSER, pdny, pdny + pdnz); + + for (int i = 0; i < this.NRES; i++) { + r1 = pdy[i] * (pdy[i] + this.X[1]); + r2 = pdy[i] * (pdy[i] + this.X[2]) + this.X[3]; + this.RX[i] = pdz[i] - (this.X[0] * r1/r2); + } + + } + + } + + public static class MONIT extends E04FF.Abstract_E04FF_MONIT { + + public void eval() { + E04FFU e04ffu = new E04FFU(); + e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, + this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ffu.getINFORM(); + } + + } + +} diff --git a/simple_examples/source/int32/E04GBJE.java b/simple_examples/source/int32/E04GBJE.java new file mode 100644 index 0000000..7becf21 --- /dev/null +++ b/simple_examples/source/int32/E04GBJE.java @@ -0,0 +1,183 @@ +import com.nag.routines.A00.A00AA; +import com.nag.routines.E04.E04GB; +import com.nag.routines.E04.E04HEV; +import com.nag.routines.E04.E04YA; +import com.nag.routines.F06.DDOT; +import com.nag.routines.F06.F06PA; +import com.nag.routines.X02.X02AJ; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * E04GB example program text. + */ +public class E04GBJE { + + public static final int inc1 = 1, liw = 1, m = 15, n = 3, nt = 3; + public static final int ldfjac = m, ldv = n, lw = 7*n + m*n + 2*m + n*n; + public static final String trans = "T"; + public static double[] y; + public static double[] t; + + public static void main(String[] args) { + + double eta, fsumq = 0.0, stepmx, xtol; + int ifail, iprint, maxcal, nf = 0, niter = 0; + double[] fjac = new double[ldfjac * n]; + double[] fvec = new double[m]; + double[] g = new double[n]; + double[] s = new double[n]; + double[] v = new double[ldv * n]; + double[] w = new double[lw * n]; + double[] x = new double[n]; + int[] iw = new int[liw]; + + System.out.println(" E04GBJ Example Program Results"); + + // Data + y = new double[] { + 0.14, 0.18, 0.22, 0.25, 0.29, 0.32, 0.35, 0.39, 0.37, 0.58, 0.73, + 0.96, 1.34, 2.10, 4.39 + }; + + t = new double[m * nt]; + for (int i = 0; i < m; i++) { + t[i] = i + 1.0; + t[m + i] = 15.0 - i; + t[2*m + i] = -Math.abs(i - 7.0) + 8.0; + } + + // Check LSQFUN by calling E04YA at an arbitrary point + E04YA e04ya = new E04YA(); + LSQFUN lsqfun = new LSQFUN(); + x[0] = 0.19; + x[1] = -.34; + x[2] = 0.88; + ifail = 0; + e04ya.eval(m, n, lsqfun, x, fvec, fjac, ldfjac, iw, liw, w, lw, ifail); + + // Continue setting parameters for E04GB + E04GB e04gb = new E04GB(); + LSQMON lsqmon = new LSQMON(); + LSQLIN lsqlin = new LSQLIN(); + iprint = -1; // Set to 1 to obtain output from LSQMON at each iteration + maxcal = 50 * n; + eta = 0.09; // Since E04HEV is being used as LSQLIN + xtol = 10.0 * Math.sqrt((new X02AJ()).eval()); + stepmx = 10.0; + + // Set up the starting point + x[0] = 0.5; + x[1] = 1.0; + x[2] = 1.5; + + ifail = -1; + e04gb.eval(m, n, lsqlin, lsqfun, lsqmon, iprint, maxcal, eta, xtol, + stepmx, x, fsumq, fvec, fjac, ldfjac, s, v, ldv, niter, nf, iw, + liw, w, lw, ifail); + fsumq = e04gb.getFSUMSQ(); + x = e04gb.getX(); + ifail = e04gb.getIFAIL(); + + if (ifail == 0 || ifail >= 2) { + System.out.println(); + System.out.printf(" On exit, the sum of squares is %12.4f\n", fsumq); + System.out.printf(" at the point "); + for (int ii = 0; ii < n; ++ii) { + System.out.printf("%12.4f", x[ii]); + } + System.out.println(); + + lsqmon.lsqgrd(m, n, fvec, fjac, ldfjac, g); + + System.out.print(" The corresponding gradient is"); + for (int ii = 0; ii < n; ++ii) { + System.out.printf("%12.3E", g[ii]); + } + System.out.println(); + System.out.println(" (machine dependent)"); + System.out.println(" and the residuals are"); + for (int ii = 0; ii < m; ++ii) { + System.out.printf(" %9.1E\n", fvec[ii]); + } + System.out.println(); + } + + } + + /** Routine to evaluate the residuals and their 1st derivatives. */ + public static class LSQFUN extends E04GB.Abstract_E04GB_LSQFUN implements E04YA.E04YA_LSQFUN { + + public void eval() { + double denom, dummy; + + for (int i = 0; i < m; i++) { + denom = this.XC[1] * t[i + this.M] + this.XC[2] * t[i + 2*this.M]; + this.FVEC[i] = this.XC[0] + t[i] / denom - y[i]; + + if (this.IFLAG != 0) { + this.FJAC[i] = 1.0; + dummy = -1.0 / (denom * denom); + this.FJAC[i + ldfjac] = t[i] * t[i + this.M] * dummy; + this.FJAC[i + 2*ldfjac] = t[i] * t[i + 2*this.M] * dummy; + } + } + + } + + } + + public static class LSQMON extends E04GB.Abstract_E04GB_LSQMON { + + public static final int ndec = 3; + + /** Monitoring routine. */ + public void eval() { + double fsumsq, gtg; + double[] g = new double[ndec]; + DDOT ddot = new DDOT(); + + fsumsq = ddot.eval(this.M, this.FVEC, inc1, this.FVEC, inc1); + this.lsqgrd(this.M, this.N, this.FVEC, this.FJAC, this.LDFJAC, g); + gtg = ddot.eval(this.N, g, inc1, g, inc1); + + System.out.println(); + System.out.println(" Itn F evals SUMSQ GTG Grade"); + System.out.printf(" %4d %5d %13.5E %9.1E %3d\n", + this.NITER, this.NF, fsumsq, gtg, this.IGRADE); + System.out.println(); + System.out.println(" X G Singular values"); + for (int j = 0; j < n; j++) { + System.out.printf(" %13.5E %9.1E %9.1E\n", + this.XC[j], g[j], this.S[j]); + } + + } + + /** Routine to evaluate gradient of the sum of squares. */ + public void lsqgrd(int m, int n, double[] fvec, double[] fjac, int ldfjac, double[] g) { + F06PA f06pa = new F06PA(trans, m, n, 1.0, fjac, ldfjac, fvec, inc1, 0.0, g, inc1); + f06pa.eval(); + + for (int i = 0; i < n; ++i) { + g[i] = 2.0 * g[i]; + } + + } + + } + + /** Using E04HEV as LSQLIN. */ + private static class LSQLIN extends E04HEV implements E04GB.E04GB_LSQLIN { + + public void eval() { + super.eval(); + } + + } + +} diff --git a/simple_examples/source/int32/E04GGJE.java b/simple_examples/source/int32/E04GGJE.java new file mode 100644 index 0000000..8a18c6a --- /dev/null +++ b/simple_examples/source/int32/E04GGJE.java @@ -0,0 +1,219 @@ +import com.nag.routines.E04.E04FFU; +import com.nag.routines.E04.E04GG; +import com.nag.routines.E04.E04GGV; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RM; +import com.nag.routines.E04.E04RX; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04ZM; + +/** + * E04GG example program text. + */ +public class E04GGJE { + + public static void main(String[] args) { + + final double infbnd = 1.0e20; + + long cpuser = 0, handle = 0; + int ifail, isparse, nnzrd, nres, nvar; + + double[] blx, bux, ruser, rx, x, z; + double[] rinfo = new double[100], stats = new double[100]; + int[] icolrd = new int[1], irowrd = new int[1], iuser = new int[1]; + + /* Header */ + System.out.println(" E04GGJ Example Program Results\n"); + + nvar = 6; + nres = 24; + // ruser = new double[2*nres]; + // Data from Lanczos 3 Problem + ruser = new double[] { + // t(:) = + 0.0e0, 5.0e-2, 1.0e-1, 1.5e-1, 2.0e-1, 2.5e-1, 3.0e-1, 3.5e-1, + 4.0e-1, 4.5e-1, 5.0e-1, 5.5e-1, 6.0e-1, 6.5e-1, 7.0e-1, 7.5e-1, + 8.0e-1, 8.5e-1, 9.0e-1, 9.5e-1, 1.0e0, 1.05e0, 1.10e0, 1.15e0, + // y(:) = + 2.5134, 2.0443, 1.6684, 1.3664, 1.1232, 0.9269, 0.7679, 0.6389, + 0.5338, 0.4479, 0.3776, 0.3197, 0.2720, 0.2325, 0.1997, 0.1723, + 0.1493, 0.1301, 0.1138, 0.1000, 0.0883, 0.0783, 0.0698, 0.0624 + }; + + iuser[0] = 0; + + // Initialize handle + ifail = 0; + E04RA e04ra = new E04RA(); + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + // Define residuals structure, isparse=0 means the residual structure is + // dense => irowrd and icolrd are not accessed + isparse = 0; + nnzrd = 0; + E04RM e04rm = new E04RM(); + e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); + + // Set options + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "BXNL Use Second Derivatives = Yes",ifail); + e04zm.eval(handle, "BXNL Model = Gauss-Newton",ifail); + e04zm.eval(handle, "BXNL Glob Method = Reg",ifail); + // Change printed output verbosity + e04zm.eval(handle, "Print Level = 1",ifail); + + // Define starting point + rx = new double[nres]; + z = new double[nvar]; + // x = new double[nvar]; + x = new double[] { + 1.2, 0.3, 5.6, 5.5, 6.5, 7.6 + }; + + // Define bounds + blx = new double[nvar]; + bux = new double[nvar]; + blx[0] = 0.0; + bux[0] = 1.0; + blx[1] = -1.0; + bux[1] = infbnd; + blx[2] = -1.0; + bux[2] = infbnd; + blx[3] = -1.0; + bux[3] = infbnd; + blx[4] = -1.0; + bux[4] = 1.0; + blx[5] = -1.0; + bux[5] = 10.0; + E04RH e04rh = new E04RH(); + e04rh.eval(handle, nvar, blx, bux, ifail); + + // Call the solver + ifail = -1; + E04GG e04gg = new E04GG(); + LSQFUN lsqfun = new LSQFUN(); + LSQGRD lsqgrd = new LSQGRD(); + LSQHES lsqhes = new LSQHES(); + LSQHPRD lsqhprd = new LSQHPRD(); + MONIT monit = new MONIT(); + + e04gg.eval(handle,lsqfun,lsqgrd,lsqhes,lsqhprd,monit,nvar,x,nres,rx,rinfo,stats,iuser,ruser,cpuser,ifail); + ifail = e04gg.getIFAIL(); + + // Recover latest iterate from handle if available + if (ifail == 0) { + ifail = -1; + E04RX e04rx = new E04RX(); + e04rx.eval(handle,"X",1,nvar,z,ifail); + ifail = e04rx.getIFAIL(); + if (ifail == 0) { + System.out.println("\nSolver stored solution iterate in the handle"); + System.out.print("X: "); + for (int i = 0; i < nvar; i++){ + System.out.printf("%8.2E ", z[i]); + } + System.out.println(); + } + } + + // Free the handle memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + + } + + public static class LSQFUN extends E04GG.Abstract_E04GG_LSQFUN { + + public void eval() { + for (int i = 0; i < this.NRES; i++){ + this.RX[i] = 0.0; + } + + for (int i = 0; i < this.NRES; i++){ + this.RX[i] = this.RUSER[this.NRES + i] - this.X[0] * Math.exp(-this.X[1] * this.RUSER[i]) - + this.X[2] * Math.exp(-this.X[3] * this.RUSER[i]) - this.X[4] * Math.exp(-this.X[5] * this.RUSER[i]); + } + + this.INFORM = 0; + } + } + + public static class LSQGRD extends E04GG.Abstract_E04GG_LSQGRD { + + public void eval() { + int i; + + for (i = 0; i < this.RDX.length; i++) { + this.RDX[i] = 0; + } + + for (i = 0; i < this.NRES; i++) { + this.RDX[i * this.NVAR + 0] = -Math.exp(-this.X[1] * this.RUSER[i]); + this.RDX[i * this.NVAR + 1] = this.RUSER[i] * this.X[0] * Math.exp(-this.X[1] * this.RUSER[i]); + this.RDX[i * this.NVAR + 2] = -Math.exp(-this.X[3] * this.RUSER[i]); + this.RDX[i * this.NVAR + 3] = this.RUSER[i] * this.X[2] * Math.exp(-this.X[3] * this.RUSER[i]); + this.RDX[i * this.NVAR + 4] = -Math.exp(-this.X[5] * this.RUSER[i]); + this.RDX[i * this.NVAR + 5] = this.RUSER[i] * this.X[4] * Math.exp(-this.X[5] * this.RUSER[i]); + } + + this.INFORM = 0; + } + } + + public static class LSQHES extends E04GG.Abstract_E04GG_LSQHES { + + public void eval() { + for (int i = 0; i < this.NVAR * this.NVAR; i++) { + this.HX[i] = 0.0; + } + + double sum21 = 0.0, sum22 = 0.0, sum43 = 0.0, sum44 = 0.0, sum65 = 0.0, sum66 = 0.0; + + for (int i = 0; i < this.NRES; i++){ + sum21 = sum21 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[1] * this.RUSER[i])); + sum22 = sum22 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[0] * Math.exp(-this.X[1] * this.RUSER[i])); + sum43 = sum43 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[3] * this.RUSER[i])); + sum44 = sum44 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[2] * Math.exp(-this.X[3] * this.RUSER[i])); + sum65 = sum65 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[5] * this.RUSER[i])); + sum66 = sum66 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[4] * Math.exp(-this.X[5] * this.RUSER[i])); + } + + this.HX[(2-1) + (1-1) * this.NVAR] = sum21; + this.HX[(1-1) + (2-1) * this.NVAR] = this.HX[(2-1) + (1-1) * this.NVAR]; + this.HX[(2-1) + (2-1) * this.NVAR] = sum22; + this.HX[(4-1) + (3-1) * this.NVAR] = sum43; + this.HX[(3-1) + (4-1) * this.NVAR] = this.HX[(4-1) + (3-1) * this.NVAR]; + this.HX[(4-1) + (4-1) * this.NVAR] = sum44; + this.HX[(6-1) + (5-1) * this.NVAR] = sum65; + this.HX[(5-1) + (6-1) * this.NVAR] = this.HX[(6-1) + (5-1) * this.NVAR]; + this.HX[(6-1) + (6-1) * this.NVAR] = sum66; + + this.INFORM = 0; + } + } + + public static class MONIT extends E04GG.Abstract_E04GG_MONIT { + + public void eval() { + E04FFU e04ffu = new E04FFU(); + e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, + this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ffu.getINFORM(); + } + } + + public static class LSQHPRD extends E04GG.Abstract_E04GG_LSQHPRD { + + public void eval() { + E04GGV e04ggv = new E04GGV(); + e04ggv.eval(this.NVAR, this.X, this.Y, this.NRES, this.HXY, + this.INFORM, this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ggv.getINFORM(); + } + } + +} diff --git a/simple_examples/source/int32/E04MTJE.java b/simple_examples/source/int32/E04MTJE.java new file mode 100644 index 0000000..6272e91 --- /dev/null +++ b/simple_examples/source/int32/E04MTJE.java @@ -0,0 +1,132 @@ +import com.nag.routines.E04.E04MT; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RF; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RJ; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04ZM; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.Arrays; + +/** + * E04MT example program text. + */ +public class E04MTJE { + + public static void main(String[] args) throws IOException { + + System.out.println(" E04MTJ Example Program Results"); + int m = 7; + int n = 7; + int nnza = 41; + int nnzc = 7; + int nnzu = 2*n + 2*m; + + int[] cindex = {1,2,3,4,5,6,7}; + double[] c = {-0.02,-0.20,-0.20,-0.20,-0.20, 0.04, 0.04}; + int[] irowa = {1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3, + 4,4,4,4,4,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7}; + int[] icola = {1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,4,5,6, + 1,2,3,4,5,1,2,5,1,2,3,4,5,6,1,2,3,4,5,6,7}; + double[] a = {1.00, 1.00, 1.00, 1.00, 1.00, 1.00, 1.00, + 0.15, 0.04, 0.02, 0.04, 0.02, 0.01, 0.03, + 0.03, 0.05, 0.08, 0.02, 0.06, 0.01,0.02, + 0.04, 0.01, 0.02, 0.02,0.02, 0.03, 0.01,0.70, + 0.75, 0.80, 0.75, 0.80, 0.97,0.02, 0.06, 0.08, + 0.12, 0.02, 0.01, 0.97}; + double[] bla = {-0.13,-1.0e20,-1.0e20,-1.0e20,-1.0e20, + -0.0992,-0.003}; + double[] bua = {-0.13,-0.0049,-0.0064,-0.0037,-0.0012, + 1.0e20, 0.002}; + double[] xl = {-0.01,-0.1,-0.01,-0.04,-0.1,-0.01,-0.01}; + double[] xu = {0.01,0.15,0.03,0.02,0.05,1.0e20,1.0e20}; + double[] dArrData = new double[nnza+2*m+3*n+nnzc+nnzu]; + + long handle = 0; + int ifail = 0; + E04RA e04ra = new E04RA(handle,n,ifail); + e04ra.eval(); + + handle = e04ra.getHANDLE(); + + int[] icolh = new int[1]; + int[] irowh = new int[1]; + double[] h = new double[1]; + E04RF e04rf = new E04RF(handle,nnzc,cindex,c,0,irowh,icolh,h,ifail); + e04rf.eval(); + handle = e04ra.getHANDLE(); + + E04RH e04rh = new E04RH(handle,n,xl,xu,ifail); + e04rh.eval(); + handle = e04rh.getHANDLE(); + + int idlc = 0; + E04RJ e04rj = new E04RJ(handle,m,bla,bua,nnza,irowa,icola,a,idlc,ifail); + e04rj.eval(); + handle = e04rj.getHANDLE(); + + E04ZM e04zm = new E04ZM(handle,"LPIPM Monitor Frequency = 1",ifail); + e04zm.eval(); + e04zm.setOPTSTR("LPIPM Stop Tolerance = 1.0e-10"); + e04zm.eval(); + e04zm.setOPTSTR("Print Solution = YES"); + e04zm.eval(); + e04zm.setOPTSTR("Print Options = NO"); + e04zm.eval(); + e04zm.setOPTSTR("LPIPM Centrality Correctors = -6"); + e04zm.eval(); + handle = e04zm.getHANDLE(); + + long cpuser = 2; + int[] iuser = {1}; + double[] ruser = new double[1]; + ifail = -1; + MONIT monit = new MONIT(); + double[] x = new double[n], u = new double[nnzu]; + double[] rinfo = new double[100], stats = new double[100]; + System.out.println(); + System.out.println("++++++++++ Use the Primal-Dual algorithm ++++++++++"); + E04MT e04mt = new E04MT(handle,n,x,nnzu,u,rinfo,stats, + monit,iuser,ruser,cpuser,ifail); + e04mt.eval(); + System.out.println(); + System.out.println("++++++++++ Use the Self-Dual algorithm ++++++++++"); + e04zm.setOPTSTR("LPIPM Algorithm = Self-Dual"); + e04zm.eval(); + e04zm.setOPTSTR("LPIPM Stop Tolerance 2 = 1.0e-11"); + e04zm.eval(); + iuser[0] = 2; + e04mt.setIFAIL(-1); + e04mt.setHANDLE(e04zm.getHANDLE()); + e04mt.setIUSER(iuser); + e04mt.eval(); + + } + + public static class MONIT extends E04MT.Abstract_E04MT_MONIT { + + public void eval() { + + double tol = 1.2e-8; + + if (IUSER[0] == 1) { + if ((RINFO[4] < tol) && (RINFO[5] < tol) && (RINFO[6] < tol)) { + System.out.println("Iteration " + Integer.toString((int)STATS[0])); + System.out.printf(" monit() reports good approximate solution (tol = %5.2E):\n", tol); + } + } + else { + if ((RINFO[14] < tol) && (RINFO[15] < tol) && (RINFO[16] < tol) && (RINFO[17] < tol)) { + System.out.println("Iteration " + Integer.toString((int)STATS[0])); + System.out.printf(" monit() reports good approximate solution (tol = %5.2E):\n", tol); + } + } + + } + + } + +} diff --git a/simple_examples/source/int32/E04MXJE.java b/simple_examples/source/int32/E04MXJE.java new file mode 100644 index 0000000..642a933 --- /dev/null +++ b/simple_examples/source/int32/E04MXJE.java @@ -0,0 +1,292 @@ +import com.nag.routines.E04.E04MX; +import com.nag.routines.E04.E04NP; +import com.nag.routines.E04.E04NQ; +import com.nag.routines.E04.E04NS; +import com.nag.routines.E04.E04NT; +import com.nag.routines.X04.X04AC; +import com.nag.routines.X04.X04AD; +import java.util.Arrays; + +/** + * E04MX example program text. + */ +public class E04MXJE { + + public static void main(String[] args) { + + /* Parameters */ + int lencw = 600, leniw = 600, lenrw = 600, mpslst = 1, nin = 7, nout = 6; + boolean readints = false; + String fname = args[0]; + /* Local Scalars */ + double obj, objadd, sinf; + int i, ifail, iobj, lenc, lintvar, m, maxlintvar, maxm, maxn, maxncolh, + maxnnz, maxnnzh, minmax, mode, n, ncolh, ninf, nname, nnz, nnzh, ns; + boolean verboseOutput; + String start; + /* Local Arrays */ + double[] a, bl, bu, c, h, pi, rc, ruser, rw, x; + int[] helast, hs, iccola, iccolh, intvar, irowa, irowh, iuser, iw; + String[] crname, cw; + String[] cuser = new String[1], pnames = new String[5]; + cuser[0] = " "; + for (int j = 0; j < 5; j++) { + pnames[j] = " "; + } + + System.out.println(" E04MXJ Example Program Results"); + + // Initialize + for (int j = 0; j < 5; j++) { + pnames[j] = " "; + } + maxm = 0; + maxn = 0; + maxnnz = 0; + maxnnzh = 0; + maxncolh = 0; + maxlintvar = 0; + + // Open the data file for reading + X04AC x04ac = new X04AC(); + mode = 0; + ifail = 0; + x04ac.eval(nin, fname, mode, ifail); + + // Prep call to E04MX in query mode + E04MX e04mx = new E04MX(); + a = new double[1]; + irowa = new int[1]; + iccola = new int[1]; + bl = new double[1]; + bu = new double[1]; + crname = new String[]{" "}; + h = new double[1]; + irowh = new int[1]; + iccolh = new int[1]; + intvar = new int[1]; + ifail = 0; + + // Placeholders for output only scalars + n = 0; + m = 0; + nnz = 0; + ncolh = 0; + nnzh = 0; + lintvar = 0; + iobj = 0; + nname = 0; + minmax = 0; + + // Make call to E04MX + e04mx.eval(nin, maxn, maxm, maxnnz, maxncolh, maxnnzh, maxlintvar, + mpslst, n, m, nnz, ncolh, nnzh, lintvar, iobj, a, irowa, + iccola, bl, bu, pnames, nname, crname, h, irowh, iccolh, + minmax, intvar, ifail); + + // Get output scalar values + n = e04mx.getN(); + m = e04mx.getM(); + nnz = e04mx.getNNZ(); + ncolh = e04mx.getNCOLH(); + nnzh = e04mx.getNNZH(); + lintvar = e04mx.getLINTVAR(); + iobj = e04mx.getIOBJ(); + nname = e04mx.getNNAME(); + minmax = e04mx.getMINMAX(); + ifail = e04mx.getIFAIL(); + + // Close file + X04AD x04ad = new X04AD(); + ifail = 0; + x04ad.eval(nin, ifail); + + // Set maxm, maxn and maxnnz + maxm = m; + maxn = n; + maxnnz = nnz; + maxnnzh = nnzh; + maxncolh = ncolh; + maxlintvar = (readints) ? lintvar : 1; + + // Allocate memory + irowa = new int[maxnnz]; + iccola = new int[maxn + 1]; + a = new double[maxnnz]; + bl = new double[maxn + maxm]; + bu = new double[maxn + maxm]; + crname = new String[maxn + maxm]; + for (int j = 0; j < (maxn + maxm); j++) { + crname[j] = " "; + } + irowh = new int[maxnnzh]; + iccolh = new int[maxncolh + 1]; + h = new double[maxnnzh]; + intvar = new int[maxlintvar]; + + // Open the data file for reading + mode = 0; + ifail = 0; + x04ac.eval(nin, fname, mode, ifail); + + // Call E04MX to read the problem + ifail = 0; + e04mx.eval(nin, maxn, maxm, maxnnz, maxncolh, maxnnzh, maxlintvar, + mpslst, n, m, nnz, ncolh, nnzh, lintvar, iobj, a, irowa, + iccola, bl, bu, pnames, nname, crname, h, irowh, iccolh, + minmax, intvar, ifail); + n = e04mx.getN(); + m = e04mx.getM(); + nnz = e04mx.getNNZ(); + ncolh = e04mx.getNCOLH(); + nnzh = e04mx.getNNZH(); + lintvar = e04mx.getLINTVAR(); + iobj = e04mx.getIOBJ(); + nname = e04mx.getNNAME(); + minmax = e04mx.getMINMAX(); + ifail = e04mx.getIFAIL(); + + // Close the data file + ifail = 0; + x04ad.eval(nin, ifail); + + /* Data has been read. Set up and run the solver */ + + iw = new int[leniw]; + rw = new double[lenrw]; + cw = new String[lencw]; + for (int j = 0; j < lencw; j++) { + cw[j] = " "; + } + + // Call E04NP to initialize workspace + E04NP e04np = new E04NP(); + ifail = 0; + e04np.eval(cw, lencw, iw, leniw, rw, lenrw, ifail); + + // Call option setter E04NS to change the direction of optimization. + // Minimization is assumed by default. + E04NS e04ns = new E04NS(); + if (minmax == 1) { + ifail = 0; + e04ns.eval("Maximize", cw, iw, rw, ifail); + } + else if (minmax == 0) { + ifail = 0; + e04ns.eval("Feasible Point", cw, iw, rw, ifail); + } + + // Set this to TRUE to cause E04NQ to produce intermediate progress output + verboseOutput = false; + + if (verboseOutput) { + // By default E04NQ does not print monitoring information. Set the print + // file unit or the summary file unit to get information. + E04NT e04nt = new E04NT(); + ifail = 0; + e04nt.eval("Print file", nout, cw, iw, rw, ifail); + } + else { + System.out.printf(" \n Problem contains %3d variables and %3d linear constraints\n", n, m); + } + + // We have no explicit objective vector so set LENC = 0; the objective vector + // is stored in row IOBJ of ACOL. + lenc = 0; + objadd = 0.0; + start = "C"; + + c = new double[Math.max(1, lenc)]; + helast = new int[n + m]; + x = new double[n + m]; + pi = new double[m]; + rc = new double[n + m]; + hs = new int[n + m]; + iuser = new int[ncolh + 1 + nnzh]; + ruser = new double[nnzh]; + + if (ncolh > 0) { + // Store the non zeros of H in ruser for use by qphx + for (int j = 0; j < nnzh; j++) { + ruser[j] = h[j]; + } + // Store iccolh and irowh in iuser for use by qphx + for (int j = 0; j < ncolh + 1; j++) { + iuser[j] = iccolh[j]; + } + for (int j = 0; j < nnzh; j++) { + iuser[j + ncolh + 1] = irowh[j]; + } + + } + + // Call E04NQ to solve the problem + E04NQ e04nq = new E04NQ(); + QPHX qphx = new QPHX(); + ns = 0; + ninf = 0; + sinf = 0.0; + obj = 0.0; + ifail = 0; + e04nq.eval(start, qphx, m, n, nnz, nname, lenc, ncolh, iobj, objadd, + pnames[0], a, irowa, iccola, bl, bu, c, crname, helast, hs, + x, pi, rc, ns, ninf, sinf, obj, cw, lencw, iw, leniw, rw, + lenrw,cuser,iuser,ruser,ifail); + ns = e04nq.getNS(); + ninf = e04nq.getNINF(); + sinf = e04nq.getSINF(); + obj = e04nq.getOBJ(); + ifail = e04nq.getIFAIL(); + + if (!verboseOutput) { + System.out.println(); + System.out.printf(" Final objective value = %11.3E\n", obj); + System.out.printf(" Optimal X = \n"); + System.out.printf(" "); + for (int j = 0; j < n; j++) { + System.out.printf("%9.2f", x[j]); + } + System.out.printf("\n"); + } + + } + + public static class QPHX extends E04NQ.Abstract_E04NQ_QPHX { + + /** + * Subroutine to compute H*x. + * Note: IUSER and RUSER contain the following data: + * RUSER(1:NNZH) = H(1:NNZH) + * IUSER(1:NCOLH+1) = ICCOLH(1:NCOLH+1) + * IUSER(NCOLH+2:NNZH+NCOLH+1) = IROWH(1:NNZH) + */ + public void eval() { + /* Local Scalars */ + int end, icol, idx, irow, start; + + Arrays.fill(HX, 0.0); + + for (icol = 0; icol < this.NCOLH + 1; ++icol) { + + start = this.IUSER[icol] - 1; + end = IUSER[icol+1] - 2; + + for (idx = start; idx < end + 1; ++idx) { + + irow = this.IUSER[this.NCOLH + 1 + idx] - 1; + this.HX[irow] += this.X[icol] * this.RUSER[idx]; + + if (irow != icol) { + this.HX[icol] += this.X[irow] * this.RUSER[idx]; + } + + } + + } + + } + + } + + +} diff --git a/simple_examples/source/int32/E04NCJE.java b/simple_examples/source/int32/E04NCJE.java new file mode 100644 index 0000000..d6c3010 --- /dev/null +++ b/simple_examples/source/int32/E04NCJE.java @@ -0,0 +1,246 @@ +import static java.lang.Math.max; + +import com.nag.routines.E04.E04NC; +import com.nag.routines.E04.E04WB; +import com.nag.routines.F06.DGEMV; +import java.io.BufferedReader; +import java.io.FileReader; +import java.text.NumberFormat; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * E04NC example program text. + * @author ludovic + */ +public class E04NCJE { + + public static void main(String[] args) { + + double one = 1.0; + double zero = 0.0; + int inc1 = 1, lcwsav = 1, liwsav = 610, + llwsav = 120, lrwsav = 475, nin = 5, + nout = 6; + double obj; + int i, ifail, iter, lda, ldc, liwork, + lwork, m, n, nclin, sdc; + double[] a, b, bl, bu, c, + clamda, cvec, work, x; + double[] rwsav = new double[lrwsav]; + int[] istate, iwork, kx; + int[] iwsav = new int[liwsav]; + boolean[] lwsav = new boolean[llwsav]; + String[] cwsav = new String[lcwsav]; + + System.out.println(" E04NCJ Example Program Results"); + try { + + BufferedReader br = new BufferedReader(new FileReader(args[0])); + String line = br.readLine(); // read the header + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + String[] data = line.split("\\s+"); + m = Integer.parseInt(data[0]); + n = Integer.parseInt(data[1]); + nclin = Integer.parseInt(data[2]); + + liwork = n; + ldc = max(1,nclin); + lda = max(1,m); + + if (nclin > 0) { + sdc = n; + } + else { + sdc = 1; + } + + /* This particular example problem is of type LS1, so we allocate + * A(LDA,N), CVEC(1), B(M) and define LWORK as below + */ + if (nclin > 0) { + lwork = 2*n*n + 9*n + 6*nclin; + } + else { + lwork = 9*n; + } + + /* + * 2Ds arrays (size [n,m]) are stored in 1D arrays of size n*m, ordered by column + * ie: + * 1 1 1 + * 2 2 2 + * 3 3 3 + * + * is stored [1,2,3,1,2,3,1,2,3] + */ + istate = new int[n+nclin]; + kx = new int[n]; + iwork = new int[liwork]; + c = new double[ldc*sdc]; + bl = new double[n+nclin]; + bu = new double[n+nclin]; + cvec = new double[1]; + x = new double[n]; + a = new double[lda * n]; + b = new double[m]; + clamda = new double[n+nclin]; + work = new double[lwork]; + + /* + * Extra arrays to initialize: + */ + for (int ii = 0; ii < cwsav.length; ++ii) { + // 80 characters long... + cwsav[ii] + = " "; + } + + for (int ii = 0; ii < lda; ++ii) { + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int jj = 0; jj < n; ++jj) { + a[lda*jj+ii] = Double.parseDouble(data[jj]); + } + } + + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + + for (int ii = 0; ii < m; ++ii) { + b[ii] = Double.parseDouble(data[ii]); + } + + for (int ii = 0; ii < ldc; ++ii) { + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int jj = 0; jj < sdc; ++jj) { + c[ldc*jj+ii] = Double.parseDouble(data[jj]); + } + } + + //bl and bu to complicated to read properly -> hardcoded + line = br.readLine(); + line = br.readLine(); + bl[0] = 0.0; + bl[1] = 0.0; + bl[2] = -1.0E+25; + bl[3] = 0.0; + bl[4] = 0.0; + bl[5] = 0.0; + bl[6] = 0.0; + bl[7] = 0.0; + bl[8] = 0.0; + bl[9] = 2.0; + bl[10] = -1.0E+25; + bl[11] = 1.0; + + line = br.readLine(); + line = br.readLine(); + bu[0] = 2.0; + bu[1] = 2.0; + bu[2] = 2.0; + bu[3] = 2.0; + bu[4] = 2.0; + bu[5] = 2.0; + bu[6] = 2.0; + bu[7] = 2.0; + bu[8] = 2.0; + bu[9] = 1.0E+25; + bu[10] = 2.0; + bu[11] = 4.0; + + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int ii = 0; ii < n; ++ii) { + x[ii] = Double.parseDouble(data[ii]); + } + + // CALL TO E04WBF + ifail = 0; + String routname = "E04NCA"; + E04WB e04wb = new E04WB(routname, cwsav, lcwsav, lwsav, llwsav, iwsav, liwsav, rwsav, + lrwsav, ifail); + e04wb.eval(); + cwsav = e04wb.getCWSAV(); + iwsav = e04wb.getIWSAV(); + lwsav = e04wb.getLWSAV(); + rwsav = e04wb.getRWSAV(); + + // CALL TO E04NCF + ifail = -1; + + /* Java needs these to be initialized, so set it to an impossible value + * to trap possible error later */ + iter = Integer.MIN_VALUE; + obj = Double.NaN; + + E04NC e04nc = new E04NC(m,n,nclin,ldc,lda,c,bl,bu,cvec,istate,kx,x,a,b,iter,obj, + clamda,iwork,liwork,work,lwork,lwsav,iwsav,rwsav,ifail); + e04nc.eval(); + + // Getting ifail's value back + ifail = e04nc.getIFAIL(); + + switch (ifail) { + case 0: + case 1: + case 2: + case 3: + case 4: + case 5: + case 7: + System.out.println("\n Varbl Istate Value Lagr Mult\n"); + + for (i = 0; i < n; ++i) { + System.out.printf(" V %3d %3d %14.3E %12.3E\n",(i+1), istate[i],x[i], clamda[i]); + } + + if (nclin > 0) { + DGEMV dgemv = new DGEMV(); + dgemv.eval("N",nclin,n,one,c,ldc,x,inc1,zero,work,inc1); + System.out.println("\n\n L Con Istate Value Lagr Mult\n"); + for (int ii = 0; ii < nclin; ++ii) { + System.out.printf(" L %3d %3d %14.3E %12.3E\n", + ii+1,istate[ii+n],work[ii],clamda[ii+n]); + } + } + + System.out.printf("\n\n Final objective value = %15.3E\n",e04nc.getOBJ()); + break; + default: + if (ifail > 7) { + System.out.println(" Varbl Istate Value Lagr Mult"); + for (i = 0; i < n; ++i) { + System.out.printf(" V %3d %3d %14.3E %12.3E)\n",(i+1), istate[i],x[i], clamda[i]); + } + + if (nclin > 0) { + DGEMV dgemv = new DGEMV(); + dgemv.eval("N",nclin,n,one,c,ldc,x,inc1,zero,work,inc1); + System.out.println(" L Con Istate Value Lagr Mult"); + for (int ii = 0; ii < nclin; ++ii) { + System.out.printf(" L %3d %3d %14.3E %12.3E\n", + ii+1,istate[ii+n],work[ii],clamda[ii+n]); + } + } + + System.out.printf("Final objective value is: %15.7f\n",e04nc.getOBJ()); + } + else { + System.out.println("E04NC returned with IFAIL = "+e04nc.getIFAIL()); + } + } + } + catch (Exception ex) { + Logger.getLogger(E04NCJE.class.getName()).log(Level.SEVERE, null, ex); + } + + } + +} diff --git a/simple_examples/source/int32/E04NFJE.java b/simple_examples/source/int32/E04NFJE.java new file mode 100644 index 0000000..e341f9f --- /dev/null +++ b/simple_examples/source/int32/E04NFJE.java @@ -0,0 +1,234 @@ +import com.nag.routines.E04.E04NF; +import com.nag.routines.E04.E04NH; +import com.nag.routines.E04.E04WB; +import com.nag.routines.E04.E54NFU; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.text.NumberFormat; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * E04NF example program text. + */ +public class E04NFJE { + + public static void main(String[] args) { + + /* Local Scalars */ + double obj; + int i, ifail, iter, lda, ldh, liwork, lwork, n, nclin, sda; + /* Local Arrays */ + double[] a, ax, bl, bu, clamda, cvec, h, work, x; + int[] istate, iwork; + + try { + + System.out.println(" E04NFJ Example Program Results"); + + if (args.length == 0) { + System.err.println("You need to provide the path to the data file e04nfae.d"); + System.exit(-1); + } + + // Read data from file + DataFile datafile = new DataFile(args[0]); + datafile.read(); + + liwork = 2 * datafile.n + 3; + lda = Math.max(1, datafile.nclin); + + sda = (datafile.nclin > 0) ? datafile.n : 1; + + // This particular example problem is of type QP2 with H stored explicitly, + // so we allocate CVEC(N) and H(LDH,N), and define LDH and LWORK as below + ldh = datafile.n; + + if (datafile.nclin > 0) { + lwork = 2 * datafile.n * datafile.n + 8 * datafile.n + 5 * datafile.nclin; + } + else { + lwork = datafile.n * datafile.n + 8 * datafile.n; + } + + istate = new int[datafile.n + datafile.nclin]; + ax = new double[Math.max(1, datafile.nclin)]; + iwork = new int[liwork]; + // h, bl, bu, cvec, x, a: already read from data file + clamda = new double[datafile.n + datafile.nclin]; + work = new double[lwork]; + + // Init routine + E04WB e04wb = new E04WB(); + int lcwsav = 1, liwsav = 610, llwsav = 120, lrwsav = 475; + String[] cwsav = new String[lcwsav]; + cwsav[0] + = " "; + int[] iwsav = new int[liwsav]; + boolean[] lwsav = new boolean[llwsav]; + double[] rwsav = new double[lrwsav]; + ifail = 0; + e04wb.eval("E04NFA", cwsav, lcwsav, lwsav, llwsav, iwsav, liwsav, rwsav, lrwsav, ifail); + + // Set print level to match E04NFF example output + E04NH e04nh = new E04NH(); + int inform = 0; + e04nh.eval("Print Level = 10", lwsav, iwsav, rwsav, inform); + + // Solve the problem + E04NF e04nf = new E04NF(); + double[] ruser = new double[1]; + int[] iuser = new int[1]; + iter = 0; + obj = Double.NaN; + ifail = 0; + e04nf.eval(datafile.n, datafile.nclin, datafile.a, datafile.lda, datafile.bl, + datafile.bu, datafile.cvec, datafile.h, datafile.ldh, new QPHESS(), istate, + datafile.x, iter, obj, ax, clamda, iwork, liwork, work, lwork, + iuser, ruser, lwsav, iwsav, rwsav, ifail); + + ifail = e04nf.getIFAIL(); + + } + catch (Exception ex) { + Logger.getLogger(E04NFJE.class.getName()).log(Level.SEVERE, null, ex); + } + + } + + /** Using E54NFU as a default. */ + public static class QPHESS extends E54NFU implements E04NF.E04NF_QPHESS { + + public void eval() { + super.eval(); + } + + } + + public static class DataFile { + + public String filename; + public int n, nclin, lda, sda, ldh; + public double[] cvec, a, bl, bu, x, h; + + public DataFile(String filename) { + this.filename = filename; + } + + public void read() throws FileNotFoundException, IOException { + BufferedReader dataIn = new BufferedReader(new FileReader(filename)); + String line = dataIn.readLine(); // skipping header + line = dataIn.readLine().trim(); + String[] lines = line.split(":");//removing comments + String[] dataLine = lines[0].split("\\s+"); + if (dataLine.length != 2) { + System.err.println("Something went wrong when reading the data file" + + " - can't read n and nclin!"); + System.exit(1); + } + n = Integer.parseInt(dataLine[0]); + nclin = Integer.parseInt(dataLine[1]); + + lda = Math.max(1, nclin); + + if (nclin > 0) { + sda = n; + } + else { + sda = 1; + } + ldh = n; + + cvec = new double[n]; + a = new double[lda * sda]; + bl = new double[n + nclin]; + bu = new double[n + nclin]; + x = new double[n]; + h = new double[ldh * n]; + + //reading cvec + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for cvec"); + System.exit(1); + } + + for (int i = 0; i < n; ++i) { + cvec[i] = Double.parseDouble(dataLine[i].trim().replaceAll("D", "E")); + } + + //reading a + for (int i = 0; i < lda; ++i) { + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != sda) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for a"); + System.exit(1); + } + for (int j = 0; j < sda; ++j) { + a[i + j * lda] = Double.parseDouble(dataLine[j].trim().replaceAll("D", "E")); + } + } + + //reading bl + //it's on two lines in the data file, so we need to merge them + line = dataIn.readLine().trim().split(":")[0].trim() + " " + + dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n + nclin) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for bl"); + System.exit(1); + } + for (int i = 0; i < n + nclin; ++i) { + bl[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + //reading bu + //it's on two lines in the data file, so we need to merge them + line = dataIn.readLine().trim().split(":")[0].trim() + " " + + dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n + nclin) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for bu"); + System.exit(1); + } + for (int i = 0; i < n + nclin; ++i) { + bu[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for x"); + System.exit(1); + } + for (int i = 0; i < n; ++i) { + x[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + for (int i = 0; i < ldh; ++i) { + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for h at line " + i); + System.exit(1); + } + for (int j = 0; j < n; ++j) { + h[i + j * ldh] = Double.parseDouble(dataLine[j].replaceAll("D", "E")); + } + } + + + } + } + +} diff --git a/simple_examples/source/int32/E04NKJE.java b/simple_examples/source/int32/E04NKJE.java new file mode 100644 index 0000000..604ee66 --- /dev/null +++ b/simple_examples/source/int32/E04NKJE.java @@ -0,0 +1,295 @@ +import com.nag.routines.E04.E04NK; +import com.nag.routines.E04.E04WB; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * E04NKJ Example Program Text + * @author willa + * @since 27.1.0.0 + */ +public class E04NKJE{ + private static int lcwsav = 1; + private static int liwsav = 380; + private static int llwsav = 20; + private static int lrwsav = 285; + + /** + * E04NKJ Example main program. + */ + public static void main(String[] args){ + double obj, sinf; + int icol, ifail, iobj, jcol, leniz, lenz, m, miniz, minz, n, ncolh, ninf, nname, nnz, ns, i; + String start; + double[] a, bl, bu, clamda, xs, z, ruser, rwsav; + int[] ha, istate, iz, ka, iuser, iwsav; + boolean[] lwsav; + String[] crname, cwsav, names; + + System.out.println("E04NKJ Example Program Results"); + + ruser = new double[1]; + rwsav = new double[lrwsav]; + iuser = new int[1]; + iwsav = new int[liwsav]; + + cwsav = new String[lcwsav]; + //equivalent to ```Character (80) :: cwsav(lcwsav)``` + for(i = 0; i < lcwsav; i++){ + char[] chars = new char[80]; + Arrays.fill(chars, ' '); + cwsav[i] = new String(chars); + } + names = new String[5]; + //names all blank anyway this time + for(i = 0; i < 5; i++){ + char[] chars = new char[8]; + Arrays.fill(chars, ' '); + names[i] = new String(chars); + } + + //dummy arrays + crname = new String[0]; + + n = 7; + m = 8; + nnz = 48; + iobj = 8; + ncolh = 7; + start = "C"; + nname = 15; + + ha = new int[nnz]; + ka = new int[n + 1]; + istate = new int[n + m]; + a = new double[nnz]; + bl = new double[n + m]; + bu = new double[n + m]; + xs = new double[n + m]; + clamda = new double[n + m]; + crname = new String[nname]; + lwsav = new boolean[llwsav]; + + names[0] = " "; + names[1] = " "; + names[2] = " "; + names[3] = " "; + names[4] = " "; + + crname[0] = "...X1..."; + crname[1] = "...X2..."; + crname[2] = "...X3..."; + crname[3] = "...X4..."; + crname[4] = "...X5..."; + crname[5] = "...X6..."; + crname[6] = "...X7..."; + crname[7] = "..ROW1.."; + crname[8] = "..ROW2.."; + crname[9] = "..ROW3.."; + crname[10] = "..ROW4.."; + crname[11] = "..ROW5.."; + crname[12] = "..ROW6.."; + crname[13] = "..ROW7.."; + crname[14] = "..COST.."; + + //Matrix A. Set up KA + jcol = 1; + ka[0] = 1; + + a[0] = 0.02; ha[0] = 7; + a[1] = 0.02; ha[1] = 5; + a[2] = 0.03; ha[2] = 3; + a[3] = 1.00; ha[3] = 1; + a[4] = 0.70; ha[4] = 6; + a[5] = 0.02; ha[5] = 4; + a[6] = 0.15; ha[6] = 2; + a[7] = -200.00; ha[7] = 8; + a[8] = 0.06; ha[8] = 7; + a[9] = 0.75; ha[9] = 6; + a[10] = 0.03; ha[10] = 5; + a[11] = 0.04; ha[11] = 4; + a[12] = 0.05; ha[12] = 3; + a[13] = 0.04; ha[13] = 2; + a[14] = 1.00; ha[14] = 1; + a[15] = -2000.00; ha[15] = 8; + a[16] = 0.02; ha[16] = 2; + a[17] = 1.00; ha[17] = 1; + a[18] = 0.01; ha[18] = 4; + a[19] = 0.08; ha[19] = 3; + a[20] = 0.08; ha[20] = 7; + a[21] = 0.80; ha[21] = 6; + a[22] = -2000.00; ha[22] = 8; + a[23] = 1.00; ha[23] = 1; + a[24] = 0.12; ha[24] = 7; + a[25] = 0.02; ha[25] = 3; + a[26] = 0.02; ha[26] = 4; + a[27] = 0.75; ha[27] = 6; + a[28] = 0.04; ha[28] = 2; + a[29] = -2000.00; ha[29] = 8; + a[30] = 0.01; ha[30] = 5; + a[31] = 0.80; ha[31] = 6; + a[32] = 0.02; ha[32] = 7; + a[33] = 1.00; ha[33] = 1; + a[34] = 0.02; ha[34] = 2; + a[35] = 0.06; ha[35] = 3; + a[36] = 0.02; ha[36] = 4; + a[37] = -2000.00; ha[37] = 8; + a[38] = 1.00; ha[38] = 1; + a[39] = 0.01; ha[39] = 2; + a[40] = 0.01; ha[40] = 3; + a[41] = 0.97; ha[41] = 6; + a[42] = 0.01; ha[42] = 7; + a[43] = 400.00; ha[43] = 8; + a[44] = 0.97; ha[44] = 7; + a[45] = 0.03; ha[45] = 2; + a[46] = 1.00; ha[46] = 1; + a[47] = 400.00; ha[47] = 8; + + ka[1] = 9; + ka[2] = 17; + ka[3] = 24; + ka[4] = 31; + ka[5] = 39; + ka[6] = 45; + ka[7] = 49; + + bl[0] = 0.0; + bl[1] = 0.0; + bl[2] = 4.0e2; + bl[3] = 1.0e2; + bl[4] = 0.0; + bl[5] = 0.0; + bl[6] = 0.0; + bl[7] = 2.0e3; + bl[8] = -1.0e25; + bl[9] = -1.0e25; + bl[10] = -1.0e25; + bl[11] = -1.0e25; + bl[12] = 1.5e3; + bl[13] = 2.5e2; + bl[14] = -1.0e25; + + bu[0] = 2.0e2; + bu[1] = 2.5e3; + bu[2] = 8.0e2; + bu[3] = 7.0e2; + bu[4] = 1.5e3; + bu[5] = 1.0e25; + bu[6] = 1.0e25; + bu[7] = 2.0e3; + bu[8] = 6.0e1; + bu[9] = 1.0e2; + bu[10] = 4.0e1; + bu[11] = 3.0e1; + bu[12] = 1.0e25; + bu[13] = 3.0e2; + bu[14] = 1.0e25; + + istate[0] = 0; + istate[1] = 0; + istate[2] = 0; + istate[3] = 0; + istate[4] = 0; + istate[5] = 0; + istate[6] = 0; + istate[7] = 0; + + xs[0] = 0.0; + xs[1] = 0.0; + xs[2] = 0.0; + xs[3] = 0.0; + xs[4] = 0.0; + xs[5] = 0.0; + xs[6] = 0.0; + xs[7] = 0.0; + + ifail = 0; + E04WB e04wb = new E04WB("E04NKA",cwsav,lcwsav,lwsav,llwsav,iwsav,liwsav,rwsav, + lrwsav,ifail); + e04wb.eval(); + + leniz = 1; + lenz = 1; + iz = new int[leniz]; + z = new double[lenz]; + + QPHX qphx = new QPHX(); + + ifail = 1; + + //placeholders + ns = 0; + miniz = 0; + minz = 0; + ninf = 0; + sinf = 0.0; + obj = 0.0; + + E04NK e04nk = new E04NK(n,m,nnz,iobj,ncolh,qphx,a,ha,ka,bl,bu,start,names,nname, + crname,ns,xs,istate,miniz,minz,ninf,sinf,obj,clamda,iz, + leniz,z,lenz,iuser,ruser,lwsav,iwsav,rwsav,ifail); + e04nk.eval(); + ifail = e04nk.getIFAIL(); + + minz = e04nk.getMINZ(); + miniz = e04nk.getMINIZ(); + + lenz = minz; + leniz = miniz; + + iz = new int[leniz]; + z = new double[lenz]; + + ifail = -1; + + e04nk.eval(n,m,nnz,iobj,ncolh,qphx,a,ha,ka,bl,bu,start,names,nname,crname,ns,xs, + istate,miniz,minz,ninf,sinf,obj,clamda,iz,leniz,z,lenz,iuser,ruser, + lwsav,iwsav,rwsav,ifail); + + //update + ifail = e04nk.getIFAIL(); + obj = e04nk.getOBJ(); + + if(ifail == 0){ + System.out.println(); + System.out.println("\tVariable Istate Value Lagr Mult"); + System.out.println(); + + for(i = 0; i < n; i++){ + System.out.printf("\t%s\t%d\t%.6g\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); + } + + if(m > 0){ + System.out.println(); + System.out.println(); + System.out.println("\tConstrnt Istate Value\t\t Lagr Mult"); + System.out.println(); + + for(i = n; i < n + m - 1; i++){ + System.out.printf("\t%s\t%d\t%.6g\t\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); + } + System.out.printf("\t%s\t%d\t%.6g\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); + } + + System.out.println(); + System.out.println(); + System.out.printf("Final objetive value = %15.7g\n", obj); + } + + } + + public static class QPHX extends E04NK.Abstract_E04NK_QPHX{ + public void eval(){ + this.HX[0] = 2 * this.X[0]; + this.HX[1] = 2 * this.X[1]; + this.HX[2] = 2 * (this.X[2] + this.X[3]); + this.HX[3] = this.HX[2]; + this.HX[4] = 2 * this.X[4]; + this.HX[5] = 2 * (this.X[5] + this.X[6]); + this.HX[6] = this.HX[5]; + } + } +} diff --git a/simple_examples/source/int32/E04NQJE.java b/simple_examples/source/int32/E04NQJE.java new file mode 100644 index 0000000..6cf84fe --- /dev/null +++ b/simple_examples/source/int32/E04NQJE.java @@ -0,0 +1,384 @@ +import com.nag.routines.E04.E04NP; +import com.nag.routines.E04.E04NQ; +import com.nag.routines.E04.E04NT; +import java.io.BufferedReader; +import java.io.File; +import java.io.FileReader; +import java.io.IOException; +import java.util.Arrays; + +/** + * E04NQ example program text. + */ +public class E04NQJE { + + public static final int LENCW = 600; + public static final int LENIW = 600; + public static final int LENRW = 600; + public static final int NIN = 5; + public static final int NOUT = 6; + + public static void main(String[] args) throws IOException { + + /* Local Scalars */ + double obj, objadd, sinf; + int i, icol, ifail, iobj, jcol, lenc, m, n, ncolh, ne, ninf, nname, ns; + boolean verboseOutput; + String prob; // Length = 8 + String start; // Length = 1 + /* Local Arrays */ + double[] acol, bl, bu, c, pi, rc, x; + double[] ruser = new double[1], rw = new double[LENRW]; + int[] helast, hs, inda, loca; + int[] iuser = new int[1], iw = new int[LENIW]; + String[] cuser = new String[1], cw = new String[LENCW]; // Length = 8 + String[] names; // Length = 8 + /* Init String arrays with same length*/ + Arrays.fill(cuser, " "); + Arrays.fill(cw, " "); + + System.out.println(" E04NQJ Example Program Results"); + + /* Read data file */ + + if (args.length != 1) { + usage(); + } + BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); + String line; + + // Skip heading in data file + line = dataIn.readLine(); + + // Read n, m + line = dataIn.readLine(); + String[] data = line.split(":")[0].trim().split("\\s+"); + if (data.length != 2) { + System.out.println("Data file badly formatted - expected 2 ints separated by blank spaces.\n" + + line + "\n"+Arrays.toString(data)); + System.exit(1); + } + n = Integer.parseInt(data[0]); + m = Integer.parseInt(data[1]); + + // Read ne, iobj, ncolh, start, nname + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + if (data.length != 5) { + System.out.println("Data file badly formatted - expected 5 ints separated by blank spaces"); + System.exit(1); + } + ne = Integer.parseInt(data[0]); + iobj = Integer.parseInt(data[1]); + ncolh = Integer.parseInt(data[2]); + start = data[3].replaceAll("'",""); + nname = Integer.parseInt(data[4]); + + // Allocate + inda = new int[ne]; + loca = new int[n+1]; + helast = new int[n+m]; + hs = new int[n+m]; + acol = new double[ne]; + bl = new double[n+m]; + bu = new double[n+m]; + x = new double[n+m]; + pi = new double[m]; + rc = new double[n+m]; + names = new String[nname]; + + // Read names + line = dataIn.readLine(); // skipping blank line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + int nameIndex = 0; + int dataIndex = 0; + while (nameIndex < nname) { + names[nameIndex] = data[dataIndex].replaceAll("'", ""); + ++nameIndex; + ++dataIndex; + if (nameIndex < nname && dataIndex == data.length) { + //need to read one more line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + dataIndex = 0; + } + } + + // Read matrix + line = dataIn.readLine(); // skipping blank line + int locaIndex = 0; + int currentCol = 0; + for (i = 0; i < ne; ++i) { + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + if (data.length != 3) { + System.out.println("The line is not well formatted for input of A:\n\t"+line); + System.exit(1); + } + acol[i] = Double.parseDouble(data[0].replaceAll("d", "e").replaceAll("D", "e")); + inda[i] = Integer.parseInt(data[1]); + if (i == 0) { + loca[locaIndex] = 1;//storing for Fortran use: 1-based + ++locaIndex; + ++currentCol; + } + else { + int tmp = Integer.parseInt(data[2]); + if (tmp != currentCol) { + loca[locaIndex] = i+1; + ++currentCol; + ++locaIndex; + } + } + } + loca[n] = ne + 1; + + // Read bl + line = dataIn.readLine(); // skipping blank line + int blindex = 0; + dataIndex = 0; + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + while (blindex < bl.length) { + bl[blindex] = Double.parseDouble(data[dataIndex].replaceAll("d", "e").replaceAll("D", "e")); + ++blindex; + ++dataIndex; + if (blindex < bl.length && dataIndex == data.length) { + //need to read one more line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + dataIndex = 0; + } + } + + // Read bu + line = dataIn.readLine(); // skipping blank line + int buindex = 0; + dataIndex = 0; + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + while (buindex < bu.length) { + bu[buindex] = Double.parseDouble(data[dataIndex].replaceAll("d", "e").replaceAll("D", "e")); + ++buindex; + ++dataIndex; + if (buindex < bu.length && dataIndex == data.length) { + //need to read one more line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + dataIndex = 0; + } + } + + // Read hs + line = dataIn.readLine(); // skipping blank line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + if (start.equalsIgnoreCase("C")) { + if (data.length != n) { + System.out.println("Wrong format for HS data.\n"); + System.exit(1); + } + } + else { + if (data.length != n+m) { + System.out.println("Wrong format for HS data.\n"); + System.exit(1); + } + } + for (i = 0; i < data.length; ++i) { + hs[i] = Integer.parseInt(data[i]); + } + + // Read x + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + if (data.length != n) { + System.out.println("Wrong format for X data."); + System.exit(1); + } + for (i = 0; i < data.length; ++i) { + x[i] = Double.parseDouble(data[i].replaceAll("d", "e").replaceAll("D", "e")); + } + + /* Done reading data file */ + + System.out.printf(" \n QP problem contains %3d variables and %3d linear constraints\n", n, m); + + /* Call E04NP to initialize E04NQ. */ + E04NP e04np = new E04NP(); + ifail = 0; + e04np.eval(cw,LENCW,iw,LENIW,rw,LENRW,ifail); + + /* Set this to .True. to cause e04nqf to produce intermediate + * progress output. */ + verboseOutput = true; + + if (verboseOutput) { + /* By default e04nqf does not print monitoring + * information. Set the print file unit or the summary + * file unit to get information. */ + E04NT e04nt = new E04NT(); + ifail = 0; + e04nt.eval("Print file", NOUT, cw, iw, rw, ifail); + } + + /* We have no explicit objective vector so set LENC = 0; the + * objective vector is stored in row IOBJ of ACOL. */ + lenc = 0; + c = new double[Math.max(1,lenc)]; + objadd = 0.0; + sinf = 0.0; + obj = Double.NaN; + prob = " "; + + /* Do not allow any elastic variables (i.e. they cannot be + * infeasible). If we'd set optional argument "Elastic mode" to 0, + * we wouldn't need to set the individual elements of array HELAST. */ + + for (int j = 0; j < (n+m); j++) { + helast[j] = 0; + } + + /* Solve the QP problem. */ + + E04NQ e04nq = new E04NQ(); + ifail = 0; + ns = 0; + ninf = 0; + e04nq.eval(start,new QPHX(ncolh),m,n,ne,nname,lenc,ncolh,iobj,objadd,prob,acol, + inda,loca,bl,bu,c,names,helast,hs,x,pi,rc,ns,ninf,sinf,obj,cw,LENCW, + iw,LENIW,rw,LENRW,cuser,iuser,ruser,ifail); + + System.out.println(); + System.out.printf(" Final objective value = %11.3E\n",e04nq.getOBJ()); + System.out.print(" Optimal X = "); + for (i = 0; i < n; ++i) { + System.out.printf("%9.2f ", x[i]); + } + System.out.println(); + + } + + private static void usage() { + System.out.println("Usage:\n" + + "\tjava -cp " + File.separator + "NAGJava.jar" + File.pathSeparator + + ". E04NQJE " + File.separator + "e04nqfe.d"); + System.exit(1); + } + + public static class QPHX implements E04NQ.E04NQ_QPHX { + + private int NCOLHREF; + + public QPHX(int NCOLHREF) { + this.NCOLHREF = NCOLHREF; + } + + // @Override + public void eval(int NCOLH, double[] X, double[] HX, int NSTATE, + String[] CUSER, int[] IUSER, double[] RUSER) { + + if (NCOLH != NCOLHREF) { + System.out.println("NCOLH value is wrong!"); + System.out.println("TEST FAILED"); + System.exit(1); + } + HX[0] = 2.0*X[0]; + HX[1] = 2.0*X[1]; + HX[2] = 2.0*(X[2]+X[3]); + HX[3] = HX[2]; + HX[4] = 2.0*X[4]; + HX[5] = 2.0*(X[5]+X[6]); + HX[6] = HX[5]; + + } + + private String[] CUSER; + private double[] HX,RUSER,X; + private int[] IUSER; + private int NCOLH, NSTATE; + + // @Override + public String[] getCUSER() { + return CUSER; + } + + // @Override + public double[] getHX() { + return HX; + } + + // @Override + public int[] getIUSER() { + return IUSER; + } + + // @Override + public int getNCOLH() { + return NCOLH; + } + + // @Override + public int getNSTATE() { + return NSTATE; + } + + // @Override + public double[] getRUSER() { + return RUSER; + } + + // @Override + public double[] getX() { + return X; + } + + // @Override + public void setCUSER(String[] arg0) { + CUSER = arg0; + + } + + // @Override + public void setHX(double[] arg0) { + HX = arg0; + + } + + // @Override + public void setIUSER(int[] arg0) { + IUSER = arg0; + + } + + // @Override + public void setNCOLH(int arg0) { + NCOLH = arg0; + + } + + // @Override + public void setNSTATE(int arg0) { + NSTATE = arg0; + + } + + // @Override + public void setRUSER(double[] arg0) { + RUSER = arg0; + + } + + // @Override + public void setX(double[] arg0) { + X = arg0; + + } + + } + + + + +} diff --git a/simple_examples/source/int32/E04PTJE.java b/simple_examples/source/int32/E04PTJE.java new file mode 100644 index 0000000..75303ac --- /dev/null +++ b/simple_examples/source/int32/E04PTJE.java @@ -0,0 +1,344 @@ +import com.nag.routines.E04.E04PT; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RB; +import com.nag.routines.E04.E04RE; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RJ; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.F08.DSYEVD; +import java.util.Arrays; + +/** + * E04PTJ example program text. + * @author joed + * @since 27.0.0.0 + */ +public class E04PTJE { + + + /** + * Monitoring function can be used to monitor the progress + * or, for example, to implement bespoke stopping criteria. + */ + private static class MONIT extends E04PT.Abstract_E04PT_MONIT { + + public void eval() { + + double tol = RUSER[0]; + int tolReached = IUSER[1]; + + // If x is close to the solution, print a message + if ((RINFO[14] < tol) && (RINFO[15] < tol) && (RINFO[16] < tol) && (RINFO[17] < tol)) { + if (tolReached == 0) { + System.out.println(); + System.out.printf("monit() reports good approximate solution (tol = %9.2E)\n", tol); + IUSER[1] = 1; + } + } + + } + + } + + + /** + * E04PTJ example main program. + */ + public static void main(String[] args) { + + DSYEVD dsyevd = new DSYEVD(); + E04PT e04pt = new E04PT(); + E04RA e04ra = new E04RA(); + E04RB e04rb = new E04RB(); + E04RE e04re = new E04RE(); + E04RH e04rh = new E04RH(); + E04RJ e04rj = new E04RJ(); + E04RZ e04rz = new E04RZ(); + E04ZM e04zm = new E04ZM(); + MONIT monit = new MONIT(); + + final int nqc = 1; + long cpuser, handle; + double r1; + int i, idgroup, idlc, idxa, ifail, j, liwork, lwork, m, n, na, nnza, nnzp0, + nnzp1, nnzu, nnzuc, nu, nv, nvarc1, nvarc2, rptr, xIdx; + boolean verboseOutput; + String ctype1, ctype2; // Length must be 8 + double[] a, bla, bua, c, f0, f1, lambda0, lambda1, p0, p1, q0, q1, u, uc, + work, x, xl, xu; + double[] rinfo = new double[100], ruser = new double[1], stats = new double[100]; + int[] icola, icolp0, icolp1, idxc1, idxc2, irowa, irowp0, irowp1, iwork; + int[] iuser = new int[2]; + + System.out.println("E04PTJ Example Program Results\n"); + + // Dimensions of the problem + n = 3; + nnzp0 = 6; + nnzp1 = 6; + + // Initialize size of linear constraints in SOCP + m = nqc; + na = n + nqc + 1; + nnza = nqc + n; + + // Initialize size of cone constraints + nvarc1 = 2; + nvarc2 = 2; + + // Set problem data + lwork = Math.max(2*n*n+6*n+1, 120+9*n); + liwork = 5*n + 3; + irowp0 = new int[]{1, 2, 3, 2, 3, 3}; + icolp0 = new int[]{1, 1, 1, 2, 2, 3}; + p0 = new double[]{0.493, 0.382, 0.270, 0.475, 0.448, 0.515}; + irowp1 = new int[]{1, 2, 3, 2, 3, 3}; + icolp1 = new int[]{1, 1, 1, 2, 2, 3}; + p1 = new double[]{0.737, 0.453, 1.002, 0.316, 0.635, 1.590}; + q0 = new double[]{0.847, 0.08, 0.505}; + q1 = new double[]{0.065, 0.428, 0.097}; + r1 = 1.276; + f0 = new double[n*n]; + f1 = new double[n*n]; + lambda0 = new double[n]; + lambda1 = new double[n]; + work = new double[lwork]; + iwork = new int[liwork]; + + // Store full P0 and P1 in F0 and F1 + Arrays.fill(f0, 0.0); + for (i = 0; i < nnzp0; i++) { + f0[getIdx(irowp0[i], icolp0[i], n)] = p0[i]; + } + Arrays.fill(f1, 0.0); + for (i = 0; i < nnzp1; i++) { + f1[getIdx(irowp1[i], icolp1[i], n)] = p1[i]; + } + + // Factorize P0 and P1 via eigenvalue decomposition + ifail = 0; + dsyevd.eval("V", "L", n, f0, n, lambda0, work, lwork, iwork, liwork, ifail); + dsyevd.eval("V", "L", n, f1, n, lambda1, work, lwork, iwork, liwork, ifail); + + // Fomulate F0 and F1 in P0 = F0'*F0, P1 = F1'*F1 + nu = 0; + nv = 0; + for (i = 1; i <= n; i++) { + if (lambda0[i-1] > 0) { + for (j = 1; j <= n; j++) { + f0[getIdx(j,i,n)] *= Math.sqrt(lambda0[i-1]); + } + m++; + nu++; + nnza += n; + } + if (lambda1[i-1] > 0) { + for (j = 1; j <= n; j++) { + f1[getIdx(j,i,n)] *= Math.sqrt(lambda1[i-1]); + } + m++; + nv++; + nnza += n; + } + } + nnza += nu + nv; + na += nu+ nv; + nvarc1 += nu; + nvarc2 += nv; + + // Add two fixed variable for two rotated quadratic cones + na += 2; + m += 2; + nnza += 2; + + // Compute size of multipliers + nnzu = 2*na + 2*m; + nnzuc = nvarc1 + nvarc2; + + // Initialize arrays to build SOCP + icola = new int[nnza]; + irowa = new int[nnza]; + a = new double[nnza]; + bla = new double[m]; + bua = new double[m]; + xl = new double[na]; + xu = new double[na]; + c = new double[na]; + x = new double[na]; + u = new double[nnzu]; + uc = new double[nnzuc]; + idxc1 = new int[nvarc1]; + idxc2 = new int[nvarc2]; + + // Build objective function parameter c + // [x, t1, u, v, y1, y2, t0] + Arrays.fill(c, 0.0); + for (j = 0; j < n; j++) { + c[j] = q0[j]; + } + c[na-1] = 1.0; + + // Build linear constraints parameter A + idxa = 0; + rptr = 0; + // q1 in First row + rptr++; + Arrays.fill(irowa, 0, n, rptr); + for (j = 0; j < n; j++) { + icola[j] = j+1; + a[j] = q1[j]; + } + idxa += n; + + // F0 in F0*x-u=0 row + for (i = 1; i <= n; i++) { + if (lambda0[i-1] > 0) { + rptr += 1; + for (j = 0; j < n; j++) { + irowa[idxa+j] = rptr; + icola[idxa+j] = j+1; + a[idxa+j] = f0[getIdx(j+1,i,n)]; + } + idxa += n; + } + } + // F1 in F1*x-v=0 row + for (i = 1; i <= n; i++) { + if (lambda1[i-1] > 0) { + rptr += 1; + for (j = 0; j < n; j++) { + irowa[idxa+j] = rptr; + icola[idxa+j] = j+1; + a[idxa+j] = f1[getIdx(j+1,i,n)]; + } + idxa += n; + } + } + // Rest of A, a diagonal matrix + for (j = 0; j < m; j++) { + irowa[idxa+j] = j+1; + icola[idxa+j] = n+j+1; + a[idxa+j] = 1.0; + } + for (j = 1; j < (nu+nv+1); j++) { + a[idxa+j] = -1.0; + } + // RHS in linear constraints + Arrays.fill(bla, 0.0); + Arrays.fill(bua, 0.0); + bla[0] = -r1; + bua[0] = -r1; + for (j = (m-nqc); j <= m; j++) { + bla[j-1] = 1.0; + bua[j-1] = 1.0; + } + + // Box constraints, all variables are free + Arrays.fill(xl, -1E+20); + Arrays.fill(xu, 1E+20); + + // Cone constraints + // First cone + idxc1[0] = na; + idxc1[1] = n + 1 + nu + nv + 1; + for (j = 2; j < nvarc1; j++) { + idxc1[j] = n + j; + } + ctype1 = "RQUAD "; + // Second cone + idxc2[0] = n + 1; + idxc2[1] = n + 1 + nu + nv + 2; + for (j = 2; j < nvarc2; j++) { + idxc2[j] = n + nu + j; + } + ctype2 = "RQUAD "; + + // Create the problem handle + handle = 0; + ifail = 0; + e04ra.eval(handle, na, ifail); + handle = e04ra.getHANDLE(); + + // Set objective function + ifail = 0; + e04re.eval(handle, na, c, ifail); + + // Set box constraints + ifail = 0; + e04rh.eval(handle, na, xl, xu, ifail); + + // Set linear constraints + ifail = 0; + idlc = 0; + e04rj.eval(handle, m, bla, bua, nnza, irowa, icola, a, idlc, ifail); + idlc = e04rj.getIDLC(); + + // Set first cone constraint + ifail = 0; + idgroup = 0; + e04rb.eval(handle, ctype1, nvarc1, idxc1, idgroup, ifail); + idgroup = e04rb.getIDGROUP(); + + // Set first cone constraint + ifail = 0; + idgroup = 0; + e04rb.eval(handle, ctype2, nvarc2, idxc2, idgroup, ifail); + idgroup = e04rb.getIDGROUP(); + + // Turn on monitoring + ifail = 0; + e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); + + /* Set this to true to cause e04pt to produce intermediate + * progress output */ + verboseOutput = false; + + if (verboseOutput) { + // Require printing of primal and dual solutions at the end of the solve + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + } + else { + // Turn off printing of intermediate progress output + ifail = 0; + e04zm.eval(handle, "Print Level = 1", ifail); + } + + // Call SOCP interior point solver + cpuser = 0; + iuser[0] = 0; // unused in this example + iuser[1] = 0; + ruser[0] = 1.0E-7; + ifail = -1; + e04pt.eval(handle, na, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, + ruser, cpuser, ifail); + ifail = e04pt.getIFAIL(); + + // Print solution if optimal or suboptimal solution found + if (ifail == 0 || ifail == 50) { + System.out.println(" Optimal X:"); + System.out.println(" x_idx Value "); + for (xIdx = 1; xIdx <= n; xIdx++) { + System.out.printf(" %5d %11.3E\n", xIdx, x[xIdx-1]); + } + } + + // Free the handle memory + ifail = 0; + e04rz.eval(handle, ifail); + + } + + + /** + * Convert from 2D Fortran index to 1D-column major Java index. + * @param x 1-based row index for a 2D array + * @param y 1-based column index for a 2D array + * @return the corresponding 0-based index for a 1D column-major array + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + +} diff --git a/simple_examples/source/int32/E04RPJE.java b/simple_examples/source/int32/E04RPJE.java new file mode 100644 index 0000000..d22d3d1 --- /dev/null +++ b/simple_examples/source/int32/E04RPJE.java @@ -0,0 +1,199 @@ +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RE; +import com.nag.routines.E04.E04RN; +import com.nag.routines.E04.E04RP; +import com.nag.routines.E04.E04RY; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04SV; + +/** + * E04RPJ Example Program Text + * @author willa + * @since 27.1.0.0 + */ + +public class E04RPJE{ + + /** + * E04RPJ Example main program + */ + public static void main(String[] args){ + int blkidx, dimaq, idblk, idlc, idx, idxend, ifail, inform, midx, nblk, nclin, + nnzasum, nnzb, nnzc, nnzh, nnzqsum, nnzu, nnzua, nnzuc, nq, nvar; + double[] a, b, bl, bu, cvec, h, q, x, rdummy, rinfo, stats; + int[] icola, icolb, icolh, icolq, idxc, irowa, irowb, irowh, irowq, nnza, + nnzq, qi, qj, idummy; + long cpuser, handle; + + rdummy = new double[1]; + rinfo = new double[32]; + stats = new double[32]; + idummy = new int[1]; + + System.out.println("E04RPJ Example Program Results"); + System.out.println(); + + //Problem size + nvar = 5; + nnzh = 0; + nclin = 0; + nnzb = 0; + nblk = 2; + + //Initialize handle to an empty problem + E04RA e04ra = new E04RA(); + handle = 0; + ifail = 0; + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + //Linear part of the objective function + cvec = new double[nvar]; + cvec[0] = 1; + cvec[1] = 0; + cvec[2] = 1; + cvec[3] = 0; + cvec[4] = 0; + + //Add the linear objetive function to the problem formulation + ifail = 0; + E04RE e04re = new E04RE(handle, nvar, cvec, ifail); + e04re.eval(); + + //Matrix inequalities + //block 1 + dimaq = 2; + nnzasum = 9; nnzqsum = 8; + idblk = 0; + + nnza = new int[nvar + 1]; + irowa = new int[nnzasum]; + icola = new int[nnzasum]; + a = new double[nnzasum]; + + nnza[0] = 2; + nnza[1] = 2; + nnza[2] = 3; + nnza[3] = 2; + nnza[4] = 0; + nnza[5] = 0; + + a[0] = 1.0; irowa[0] = 1; icola[0] = 1; + a[1] = 1.0; irowa[1] = 2; icola[1] = 2; + a[2] = 2.0; irowa[2] = 1; icola[2] = 1; + a[3] = -2.0; irowa[3] = 1; icola[3] = 2; + a[4] = 6.0; irowa[4] = 1; icola[4] = 1; + a[5] = 5.0; irowa[5] = 1; icola[5] = 2; + a[6] = -4.0; irowa[6] = 2; icola[6] = 2; + a[7] = 3.0; irowa[7] = 1; icola[7] = 2; + a[8] = 8.0; irowa[8] = 2; icola[8] = 2; + + idblk = 0; + ifail = 0; + //Add the linear matrix inequality to the problem formulation + E04RN e04rn = new E04RN(handle,nvar,dimaq,nnza,nnzasum,irowa,icola,a,1, + idummy,idblk,ifail); + e04rn.eval(); + //update + idblk = e04rn.getIDBLK(); + + nq = 6; + + qi = new int[nq]; + qj = new int[nq]; + nnzq = new int[nq]; + irowq = new int[nnzqsum]; + icolq = new int[nnzqsum]; + q = new double[nnzqsum]; + + qi[0] = 1; qj[0] = 4; + qi[1] = 2; qj[1] = 4; + qi[2] = 3; qj[2] = 4; + qi[3] = 1; qj[3] = 5; + qi[4] = 2; qj[4] = 5; + qi[5] = 3; qj[5] = 5; + + nnzq[0] = 1; + nnzq[1] = 2; + nnzq[2] = 1; + nnzq[3] = 1; + nnzq[4] = 2; + nnzq[5] = 1; + + q[0] = 2.0; irowq[0] = 1; icolq[0] = 1; + q[1] = 2.0; irowq[1] = 1; icolq[1] = 1; + q[2] = 1.0; irowq[2] = 1; icolq[2] = 2; + q[3] = 1.0; irowq[3] = 1; icolq[3] = 2; + q[4] = 1.0; irowq[4] = 1; icolq[4] = 2; + q[5] = 1.0; irowq[5] = 1; icolq[5] = 2; + q[6] = 2.0; irowq[6] = 2; icolq[6] = 2; + q[7] = 2.0; irowq[7] = 2; icolq[7] = 2; + + ifail = 0; + //Expand the existing linear matrix inequality with bilnear term + E04RP e04rp = new E04RP(handle,nq,qi,qj,dimaq,nnzq,nnzqsum,irowq,icolq, + q,idblk,ifail); + e04rp.eval(); + + //block 2 + dimaq = 2; + nnzasum = 5; + nnza = new int[nvar + 1]; + irowa = new int[nnzasum]; + icola = new int[nnzasum]; + a = new double[nnzasum]; + + nnza[0] = 2; + nnza[1] = 1; + nnza[2] = 1; + nnza[3] = 1; + nnza[4] = 0; + nnza[5] = 0; + + a[0] = 1.0; irowa[0] = 1; icola[0] = 1; + a[1] = 1.0; irowa[1] = 2; icola[1] = 2; + a[2] = 1.0; irowa[2] = 1; icola[2] = 1; + a[3] = 1.0; irowa[3] = 1; icola[3] = 2; + a[4] = 1.0; irowa[4] = 2; icola[4] = 2; + + idblk = 0; + ifail = 0; + //Add the linear matrix inequality to the problem formulation + e04rn = new E04RN(handle,nvar,dimaq,nnza,nnzasum,irowa,icola,a,1, + idummy,idblk,ifail); + e04rn.eval(); + + System.out.println("Passing SDP problem to solver"); + System.out.println(); + + ifail = 0; + //Print overview of handle + //nout = 6 is default output for fortran + E04RY e04ry = new E04RY(handle,6,"Overview,Matrix Constraints",ifail); + e04ry.eval(); + + //Allocate memory for the solver + x = new double[nvar]; + nnzu = 0; + nnzuc = 0; + nnzua = 0; + inform = 0; + for(int i = 0; i < nvar; i++){ + x[i] = 0.0; + } + + ifail = 0; + E04SV e04sv = new E04SV(handle,nvar,x,nnzu,rdummy,nnzuc,rdummy,nnzua,rdummy, + rinfo,stats,inform,ifail); + e04sv.eval(); + + //Destroy handle + ifail = 0; + E04RZ e04rz = new E04RZ(handle,ifail); + e04rz.eval(); + } + +} + + + diff --git a/simple_examples/source/int32/E04RSJE.java b/simple_examples/source/int32/E04RSJE.java new file mode 100644 index 0000000..d614fbb --- /dev/null +++ b/simple_examples/source/int32/E04RSJE.java @@ -0,0 +1,229 @@ +import com.nag.routines.E04.E04RS; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04PT; +import com.nag.routines.E04.E04RZ; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * E04RS + */ +public class E04RSJE { + + public static void main(String[] args) { + + final int nout = 6; + + long cpuser, handle = 0; + double s = 0.0; + int idqc, ifail, n = 0, nnzq0 = 0, nnzq1 = 0, nnzu, nnzuc, x_idx; + boolean verbose_output; + + double[] q0 = null, q1 = null, r0 = null, r1 = null, u, uc, x; + double[] rinfo = new double[100]; + double[] ruser = new double[1]; + double[] stats = new double[100]; + int[] icolq0 = null, icolq1 = null, idxr0 = null, idxr1 = null, irowq0 = null, irowq1 = null; + int[] iuser = new int[2]; + + System.out.println(" E04RSJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); // skip header + + // Read dimensions of the problem + line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + nnzq0 = Integer.parseInt(sVal[1]); + nnzq1 = Integer.parseInt(sVal[2]); + + // Allocate memory to read data + irowq0 = new int[nnzq0]; + icolq0 = new int[nnzq0]; + q0 = new double[nnzq0]; + irowq1 = new int[nnzq1]; + icolq1 = new int[nnzq1]; + q1 = new double[nnzq1]; + idxr0 = new int[n]; + r0 = new double[n]; + idxr1 = new int[n]; + r1 = new double[n]; + + // Read problem data + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq0; i++) { + irowq0[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq0; i++) { + icolq0[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq0; i++) { + q0[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq1; i++) { + irowq1[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq1; i++) { + icolq1[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq1; i++) { + q1[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < n; i++) { + idxr0[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < n; i++) { + r0[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < n; i++) { + idxr1[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < n; i++) { + r1[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + s = Double.parseDouble(sVal[0]); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Compute size of multipliers + // One quadratic constraint in the model will have + // 2 multipliers for both bounds + nnzu = 2; + // No cone constraint in the model, so set nnzuc to 0 + nnzuc = 0; + + // Allocate memory for final results + x = new double[n]; + u = new double[nnzu]; + uc = new double[nnzuc]; + + // Create the problem handle + ifail = 0; + E04RA e04ra = new E04RA(); + e04ra.eval(handle, n, ifail); + handle = e04ra.getHANDLE(); + + // Set objective function + idqc = -1; + ifail = 0; + E04RS e04rs = new E04RS(); + e04rs.eval(handle, 0.0, n, idxr0, r0, nnzq0, irowq0, icolq0, q0, idqc, ifail); + + // Set quadratic constraint + idqc = 0; + ifail = 0; + e04rs.eval(handle, s, n, idxr1, r1, nnzq1, irowq1, icolq1, q1, idqc, ifail); + + // Turn on monitoring + ifail = 0; + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); + + // Set this to True to cause e04ptf to produce intermediate progress output + verbose_output = false; + + if (verbose_output) { + // Require printing of primal and dual solutions at the end of the solve + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + } else { + // Turn off printing of intermediate progress output + ifail = 0; + e04zm.eval(handle, "Print Level = 1", ifail); + } + + // Call SOCP interior point solver + cpuser = 0; + iuser[0] = nout; + iuser[1] = 0; + ruser[0] = 1.0e-07; + ifail = -1; + E04PT e04pt = new E04PT(); + MONIT monit = new MONIT(); + e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + ifail = e04pt.getIFAIL(); + + // Print solution if optimal or suboptimal solution found + if ((ifail == 0) || (ifail == 50)) { + System.out.println(" Optimal X:"); + System.out.println(" x_idx Value "); + for (x_idx = 0; x_idx < n; x_idx++) { + System.out.printf(" %5d %11.3e\n", x_idx, x[x_idx]); + } + } + + // Free the handle memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + } + + public static class MONIT extends E04PT.Abstract_E04PT_MONIT { + + public void eval() { + double tol; + int nout, tol_reached; + + nout = this.IUSER[0]; + tol_reached = this.IUSER[1]; + tol = this.RUSER[0]; + + // If x is close to the solution, print a message + if ((this.RINFO[14] < tol) && (this.RINFO[15] < tol) && (this.RINFO[16] < tol) && (this.RINFO[17] < tol)) { + if (tol_reached == 0) { + System.out.printf("\n monit() reports good approximate solution (tol =%9.2e)\n", tol); + this.IUSER[1] = 1; + } + } + } + } +} diff --git a/simple_examples/source/int32/E04RTJE.java b/simple_examples/source/int32/E04RTJE.java new file mode 100644 index 0000000..dd4bce8 --- /dev/null +++ b/simple_examples/source/int32/E04RTJE.java @@ -0,0 +1,225 @@ +import com.nag.routines.E04.E04RT; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RJ; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04PT; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04RH; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * E04RT example program text. + */ +public class E04RTJE { + + public static void main(String[] args) { + + final int nout = 6; + + long cpuser, handle = 0; + int i, idlc, idqc, ifail, j, m = 0, n = 0, nnza = 0, nnzu, nnzuc, x_idx; + boolean verbose_output; + + double[] a = null, b = null, r0 = null, u, uc, x, xl = null, xu = null; + double[] lc = new double[3]; + double[] lc_rhs = new double[1]; + double[] rinfo = new double[100]; + double[] ruser = new double[1]; + double[] stats = new double[100]; + int[] icola = null, idxr0 = null, irowa = null; + int[] icollc = new int[3]; + int[] irowlc = new int[3]; + int[] iuser = new int[2]; + + System.out.println(" E04RTJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); // skip header + + // Read dimensions of the problem + line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + m = Integer.parseInt(sVal[1]); + nnza = Integer.parseInt(sVal[2]); + + // Allocate memory to read data + a = new double[nnza]; + icola = new int[nnza]; + irowa = new int[nnza]; + idxr0 = new int[n]; + r0 = new double[n]; + b = new double[m]; + xl = new double[n]; + xu = new double[n]; + + // Read problem data + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < nnza; i++) { + irowa[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < nnza; i++) { + icola[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < nnza; i++) { + a[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < m; i++) { + b[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + xl[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + xu[i] = Double.parseDouble(sVal[i]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Compute -2*b'A as linear term in quadratic function + for (j = 0; j < n; j++) { + r0[j] = 0.0; + idxr0[j] = j + 1; + } + for (i = 0; i < nnza; i++) { + r0[icola[i] - 1] = r0[icola[i] - 1] + a[i] * b[irowa[i] - 1]; + } + + // Compute size of multipliers + // One linear constraint in the model will have + // 2 multipliers for both bounds + nnzu = 2 * n + 2; + // No cone constraint in the model, so set nnzuc to 0 + nnzuc = 0; + + // Allocate memory for final results + x = new double[n]; + u = new double[nnzu]; + uc = new double[nnzuc]; + + // Create the problem handle + ifail = 0; + E04RA e04ra = new E04RA(); + e04ra.eval(handle, n, ifail); + handle = e04ra.getHANDLE(); + + // Set quadratic objective function + idqc = -1; + ifail = 0; + E04RT e04rt = new E04RT(); + e04rt.eval(handle, 0.0, n, idxr0, r0, m, nnza, irowa, icola, a, idqc, ifail); + + // Set box constraints + ifail = 0; + E04RH e04rh = new E04RH(); + e04rh.eval(handle, n, xl, xu, ifail); + + // Set linear constraint: x1 + x2 + x3 = 1 + for (j = 0; j < n; j++) { + irowlc[j] = 1; + icollc[j] = j + 1; + lc[j] = 1.0; + } + lc_rhs[0] = 1.0; + ifail = 0; + idlc = 0; + E04RJ e04rj = new E04RJ(); + e04rj.eval(handle, 1, lc_rhs, lc_rhs, 3, irowlc, icollc, lc, idlc, ifail); + + // Turn on monitoring + ifail = 0; + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); + + // Set this to True to cause e04ptf to produce intermediate progress output + verbose_output = false; + + if (verbose_output) { + // Require printing of primal and dual solutions at the end of the solve + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + } else { + // Turn off printing of intermediate progress output + ifail = 0; + e04zm.eval(handle, "Print Level = 1", ifail); + } + + // Call SOCP interior point solver + cpuser = 0; + iuser[0] = nout; + iuser[1] = 0; + ruser[0] = 1.0e-07; + ifail = -1; + E04PT e04pt = new E04PT(); + MONIT monit = new MONIT(); + e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + ifail = e04pt.getIFAIL(); + + // Print solution if optimal or suboptimal solution found + if ((ifail == 0) || (ifail == 50)) { + System.out.println(" Optimal X:"); + System.out.println(" x_idx Value "); + for (x_idx = 0; x_idx < n; x_idx++) { + System.out.printf(" %5d %11.3e\n", x_idx, x[x_idx]); + } + } + + // Free the handle memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + } + + public static class MONIT extends E04PT.Abstract_E04PT_MONIT { + + public void eval() { + double tol; + int nout, tol_reached; + + nout = this.IUSER[0]; + tol_reached = this.IUSER[1]; + tol = this.RUSER[0]; + + // If x is close to the solution, print a message + if ((this.RINFO[14] < tol) && (this.RINFO[15] < tol) && (this.RINFO[16] < tol) && (this.RINFO[17] < tol)) { + if (tol_reached == 0) { + System.out.printf("\n monit() reports good approximate solution (tol =%9.2e)\n", tol); + this.IUSER[1] = 1; + } + } + } + } + } diff --git a/simple_examples/source/int32/E04SAJE.java b/simple_examples/source/int32/E04SAJE.java new file mode 100644 index 0000000..325267b --- /dev/null +++ b/simple_examples/source/int32/E04SAJE.java @@ -0,0 +1,104 @@ +import com.nag.routines.E04.E04RC; +import com.nag.routines.E04.E04SA; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04PT; +import com.nag.routines.E04.E04PTU; + +/** + * E04SA example program text. + */ +public class E04SAJE { + + public static final String fname = "e04saje.opt"; + public static void main(String[] args) { + + long cpuser, handle = 0; + int ifail, n, nnzu, nnzuc, x_idx; + boolean verbose_output; + String ftype; + + double[] rinfo = new double[100]; + double[] ruser = new double[1]; + double[] stats = new double[100]; + double[] u, uc, x; + int[] iuser = new int[1]; + int[] pinfo = new int[100]; + + System.out.println(" E04SAJ Example Program Results"); + + // Read mps file to a handle + ifail = 0; + ftype = "mps"; + E04SA e04sa = new E04SA(); + e04sa.eval(handle, fname, ftype, pinfo, ifail); + handle = e04sa.getHANDLE(); + + // Get problem size from pinfo + pinfo = e04sa.getPINFO(); + n = pinfo[0]; + nnzu = pinfo[10]; + nnzuc = pinfo[11]; + + // Set all variables as continuous + ifail = 0; + E04RC e04rc = new E04RC(); + + int[] x_idx_Arr = new int[n]; + for (x_idx = 1; x_idx <= n; x_idx++) { + x_idx_Arr[x_idx - 1] = x_idx; + } + + e04rc.eval(handle, "CONT", n, x_idx_Arr, ifail); + + // Allocate memory + x = new double[n]; + u = new double[nnzu]; + uc = new double[nnzuc]; + + // Set this to .True. to cause e04ptf to produce intermediate progress output + verbose_output = false; + + E04ZM e04zm = new E04ZM(); + if (verbose_output) { + // Require printing of primal and dual solutions at the end of the solve + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + } else { + // Turn off printing of intermediate progress output + ifail = 0; + e04zm.eval(handle, "Print Level = 1", ifail); + } + + // Call SOCP interior point solver + cpuser = 0; + ifail = -1; + E04PT e04pt = new E04PT(); + MONIT monit = new MONIT(); + e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + ifail = e04pt.getIFAIL(); + + // Print solution if optimal or suboptimal solution found + if ((ifail == 0) || (ifail == 50)) { + System.out.println(" Optimal X:"); + System.out.println(" x_idx " + " Value "); + for (x_idx = 0; x_idx < n; x_idx++) { + System.out.printf(" %5d %12.5e\n", x_idx, x[x_idx]); + } + } + + // Free the handle memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + } + + public static class MONIT extends E04PT.Abstract_E04PT_MONIT { + + public void eval() { + E04PTU e04ptu = new E04PTU(); + e04ptu.eval(this.HANDLE, this.RINFO, this.STATS, this.IUSER, this.RUSER, this.CPUSER, this.INFORM); + this.INFORM = e04ptu.getINFORM(); + } + } +} diff --git a/simple_examples/source/int32/E04TAJE.java b/simple_examples/source/int32/E04TAJE.java new file mode 100644 index 0000000..97cebe2 --- /dev/null +++ b/simple_examples/source/int32/E04TAJE.java @@ -0,0 +1,188 @@ +import com.nag.routines.E04.E04TA; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RE; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RJ; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04MT; +import com.nag.routines.E04.E04MTU; +import com.nag.routines.E04.E04TD; +import com.nag.routines.E04.E04TE; +import com.nag.routines.E04.E04TJ; +import com.nag.routines.E04.E04RW; +import com.nag.routines.E04.E04RZ; + +import java.util.Arrays; + +/** + * E04TA + */ +public class E04TAJE { + + public static void main(String[] args) { + + final double infbnd = 1.0e20; + + long cpuser, handle; + int idlc, ifail, ioflag, liarr, nclin, nnza, nnzu, nvar; + + double[] a, bla, bua, cvec, ulag, x, xl, xu; + + double[] rinfo = new double[100]; + double[] ruser = new double[1]; + double[] stats = new double[100]; + double[] u = new double[1]; + + int[] icola, irowa; + + int[] iuser = new int[1]; + int[] pinfo = new int[100]; + + System.out.println(" E04TAJ Example Program Results\n"); + System.out.println(" Solve the first LP\n"); + + handle = 0; + cpuser = 0; + + // Initialize the handle + nvar = 2; + ifail = 0; + E04RA e04ra = new E04RA(); + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + // Define the objective function + cvec = new double[nvar]; + cvec[0] = 2.0; + cvec[1] = 4.5; + ifail = 0; + E04RE e04re = new E04RE(); + e04re.eval(handle, nvar, cvec, ifail); + + // Box constraints + xl = new double[nvar]; + xu = new double[nvar]; + Arrays.fill(xl, 0.0); + xu[0] = infbnd; + xu[1] = 100.0; + ifail = 0; + E04RH e04rh = new E04RH(); + e04rh.eval(handle, nvar, xl, xu, ifail); + + // Set the linear constraints + idlc = 0; + nclin = 3; + nnza = 6; + bla = new double[nclin]; + bua = new double[nclin]; + irowa = new int[nnza]; + icola = new int[nnza]; + a = new double[nnza]; + Arrays.fill(bla, -infbnd); + bua = new double[] { + 1500.0, 6000.0, 16000.0 + }; + irowa = new int[] { + 1, 1, 2, 2, 3, 3 + }; + icola = new int[] { + 1, 2, 1, 2, 1, 2 + }; + a = new double[] { + 1.2, 3.0, 6.0, 10.0, 40.0, 80.0 + }; + ifail = 0; + E04RJ e04rj = new E04RJ(); + e04rj.eval(handle, nclin, bla, bua, nnza, irowa, icola, a , idlc, ifail); + + // Optional parameters + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "Task = Max", ifail); + e04zm.eval(handle, "Print Options = No", ifail); + e04zm.eval(handle, "Print Level = 1", ifail); + e04zm.eval(handle, "Print Solution = X", ifail); + + // Call the LP solver + x = new double[nvar + 1]; + nnzu = 0; + ifail = -1; + E04MT e04mt = new E04MT(); + MONIT monit = new MONIT(); + e04mt.eval(handle, nvar, x ,nnzu, u, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + + // Add a variable + ifail = 0; + E04TA e04ta = new E04TA(); + e04ta.eval(handle, 1, nvar, ifail); + nvar = e04ta.getNVAR(); + + // Box constraint on the new variable + ifail = 0; + E04TD e04td = new E04TD(); + e04td.eval(handle, "variable", nvar, 0.0, 50.0, ifail); + + // Add the linear objective component + ifail = 0; + E04TE e04te = new E04TE(); + e04te.eval(handle, 3, 7.0, ifail); + + // Add linear constraints coefficients + E04TJ e04tj = new E04TJ(); + ifail = 0; + e04tj.eval(handle, 1, 3, 5.0, ifail); + ifail = 0; + e04tj.eval(handle, 2, 3, 12.0, ifail); + ifail = 0; + e04tj.eval(handle, 3, 3, 120.0, ifail); + + System.out.println("\n The new variable has been added, solve the handle again\n"); + + // Solve the problem again + ifail = -1; + e04mt.eval(handle, nvar, x, nnzu, u, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + + // Add a linear constraint + nclin = 1; + bla[0] = -infbnd; + bua[0] = 100.0; + nnza = 2; + irowa[0] = 1; + irowa[1] = 1; + icola[0] = 2; + icola[1] = 3; + a[0] = 1.0; + a[1] = 1.0; + idlc = 0; + e04rj.eval(handle, nclin, bla, bua ,nnza, irowa, icola, a ,idlc, ifail); + + System.out.println("\n The new constraint has been added, solve the handle again\n"); + + // Query the problem sizes to request the Lagrangian multipliers for the + // last solve + ioflag = 1; + liarr = 100; + E04RW e04rw = new E04RW(); + e04rw.eval(handle, "pinfo", ioflag, liarr, pinfo, ifail); + nnzu = pinfo[10]; + ulag = new double[nnzu]; + + // Solve the problem again + ifail = -1; + e04mt.eval(handle, nvar, x ,nnzu, ulag, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + + // Free the memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + } + + public static class MONIT extends E04MT.Abstract_E04MT_MONIT { + + public void eval() { + E04MTU e04mtu = new E04MTU(); + e04mtu.eval(this.HANDLE, this.RINFO, this.STATS, this.IUSER, this.RUSER, + this.CPUSER, this.INFORM); + this.INFORM = e04mtu.getINFORM(); + } + } +} diff --git a/simple_examples/source/int32/E04TCJE.java b/simple_examples/source/int32/E04TCJE.java new file mode 100644 index 0000000..d28d78b --- /dev/null +++ b/simple_examples/source/int32/E04TCJE.java @@ -0,0 +1,263 @@ +import com.nag.routines.E04.E04FFU; +import com.nag.routines.E04.E04GG; +import com.nag.routines.E04.E04GGU; +import com.nag.routines.E04.E04GGV; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RM; +import com.nag.routines.E04.E04TB; +import com.nag.routines.E04.E04TC; +import com.nag.routines.E04.E04TD; +import com.nag.routines.E04.E04ZM; +import java.io.BufferedReader; +import java.io.FileReader; +import java.text.NumberFormat; +import java.util.logging.Level; +import java.util.logging.Logger; +import java.util.Arrays; + +/** + * E04TC example program text. + * @author Mo + */ +public class E04TCJE { + + public static void main(String[] args) { + double[] rx, x, udt, udy; + double[] rinfo = new double[100], ruser = new double[0], + stats = new double[100]; + int ifail, isparse, nnzrd, nres, nvar, udnres; + int[] icolrd = new int[0], irowrd = new int[0], iuser = new int[0]; + int[] idx; + long cpuser, handle; // c_ptr + LSQFUN lsqfun = new LSQFUN(); + LSQGRD lsqgrd = new LSQGRD(); + LSQHES lsqhes = new LSQHES(); + LSQHPRD lsqhprd = new LSQHPRD(); + MONIT monit = new MONIT(); + + /* Header */ + System.out.printf(" E04TCJ Example Program Results\n\n"); + try { + + handle = 0L; + cpuser = 0L; + + BufferedReader br = new BufferedReader(new FileReader(args[0])); + String line = br.readLine(); // read the header + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + String[] data = line.split("\\s+"); + + /* Read number of residuals */ + nres = Integer.parseInt(data[0]); + + udnres = nres; + + /* Allocate memory */ + udt = new double[nres]; + udy = new double[nres]; + + /* Read observations */ + + for (int ii = 0; ii < nres; ii += 3) { + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int jj = 0; jj < 3; ++jj) { + udt[ii+jj] = Double.parseDouble(data[jj]); + } + } + + for (int ii = 0; ii < nres; ii += 3) { + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int jj = 0; jj < 3; ++jj) { + udy[ii+jj] = Double.parseDouble(data[jj]); + } + } + + /* try to fit the model */ + /* f(t) = at^2 + bt + c + d sin(omega t) */ + /* To the data {(t_i, y_i)} */ + nvar = 5; + + /* Initialize the NAG optimization handle */ + E04RA e04ra = new E04RA(); + ifail = 0; // hard fail + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + /* Define a dense nonlinear least-squares objective function */ + /* (isparse = 0 => the sparsity pattern of the Jacobian */ + /* doesn't need to be defined) */ + E04RM e04rm = new E04RM(); + isparse = 0; + nnzrd = 1; + e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); + + /* Set some optional parameters to control the output of the solver */ + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "Print Options = No", ifail); + e04zm.eval(handle, "Print Solution = X", ifail); + e04zm.eval(handle, "Print Level = 1", ifail); + + System.out.println("First solve the problem with the outliers"); + System.out.println(); + System.out.println("--------------------------------------------------------"); + + /* Call the solver */ + E04GG e04gg = new E04GG(); + x = new double[nvar]; + for (int ii = 0; ii < nvar; ++ii) { + x[ii] = 1.0; + } + rx = new double[nres]; + iuser = new int[] {udnres}; + ruser = new double[2 * udnres];; + for (int ii = 0; ii < udnres; ii++) { + ruser[ii] = udt[ii]; + ruser[udnres + ii] = udy[ii]; + } + ifail = -1; + e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, + rx, rinfo, stats, iuser, ruser, cpuser, ifail); + + System.out.println("--------------------------------------------------------"); + System.out.println(); + System.out.println("Now remove the outlier residuals from the problem handle"); + System.out.println(); + System.out.println("--------------------------------------------------------"); + + /* Disable the two outlier residuals */ + E04TC e04tc = new E04TC(); + idx = new int[] {10, 20}; + e04tc.eval(handle, "NLS", 2, idx, ifail); + + /* Solve the problem again */ + for (int ii = 0; ii < nvar; ++ii) { + x[ii] = 1.0; + } + ifail = -1; + e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, + rx, rinfo, stats, iuser, ruser, cpuser, ifail); + + System.out.println("--------------------------------------------------------"); + System.out.println(); + System.out.println("Assuming the outliers points are measured again"); + System.out.println("we can enable the residuals and adjust the values"); + System.out.println(); + System.out.println("--------------------------------------------------------"); + + /* Fix the first variable to its known value of 0.3 */ + /* enable the residuals and adjust the values in the data */ + E04TD e04td = new E04TD(); + e04td.eval(handle, "variable", 1, 0.3, 0.3, ifail); + E04TB e04tb = new E04TB(); + e04tb.eval(handle, "NLS", 2, idx, ifail); + udy[9] = -0.515629; + udy[19] = 0.54920; + + /* Solve the problem */ + for (int ii = 0; ii < nvar; ++ii) { + x[ii] = 1.0; + } + ifail = -1; + e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, + rx, rinfo, stats, iuser, ruser, cpuser, ifail); + + } + catch (Exception ex) { + Logger.getLogger(E04TCJE.class.getName()).log(Level.SEVERE, null, ex); + } + + } + + public static class LSQFUN extends E04GG.Abstract_E04GG_LSQFUN { + + public void eval() { + int udnres; + double[] udt, udy; + + /* Unpack the user data from cpuser */ + udnres = this.IUSER[0]; + udt = Arrays.copyOfRange(this.RUSER, 0, udnres); + udy = Arrays.copyOfRange(this.RUSER, udnres, udnres + udnres); + + for (int i = 0; i < this.NRES; i++) { + this.RX[i] = 0.0; + } + + for (int i = 0; i < this.NRES; i++) { + this.RX[i] = (this.X[0] * Math.pow(udt[i],2) + this.X[1] * udt[i] + + this.X[2] + this.X[3] * Math.sin(this.X[4] * udt[i])) - + udy[i]; + } + + this.INFORM = 0; + + } + + } + + public static class LSQGRD extends E04GG.Abstract_E04GG_LSQGRD { + + public void eval() { + int udnres; + double[] udt, udy; + + /* Unpack the user data from cpuser */ + udnres = this.IUSER[0]; + udt = Arrays.copyOfRange(this.RUSER, 0, udnres); + udy = Arrays.copyOfRange(this.RUSER, udnres, udnres + udnres); + + for (int i = 1; i <= this.NRES; i++) { + this.RDX[((i-1)*this.NVAR + 1) - 1] = Math.pow(udt[i-1],2); + this.RDX[((i-1)*this.NVAR + 2) - 1] = udt[i-1]; + this.RDX[((i-1)*this.NVAR + 3) - 1] = 1.0; + this.RDX[((i-1)*this.NVAR + 4) - 1] = Math.sin(this.X[4] * udt[i-1]); + this.RDX[((i-1)*this.NVAR + 5) - 1] = this.X[3] * udt[i-1] * + Math.cos(this.X[4] * udt[i-1]); + + } + + this.INFORM = 0; + + } + + } + + public static class LSQHES extends E04GG.Abstract_E04GG_LSQHES { + + public void eval() { + E04GGU e04ggu = new E04GGU(); + e04ggu.eval(this.NVAR, this.X, this.NRES, this.LAMBDA, this.HX, + this.INFORM, this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ggu.getINFORM(); + } + + } + + public static class LSQHPRD extends E04GG.Abstract_E04GG_LSQHPRD { + + public void eval() { + E04GGV e04ggv = new E04GGV(); + e04ggv.eval(this.NVAR, this.X, this.Y, this.NRES, this.HXY, this.INFORM, + this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ggv.getINFORM(); + } + + } + + public static class MONIT extends E04GG.Abstract_E04GG_MONIT { + + public void eval() { + E04FFU e04ffu = new E04FFU(); + e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, + this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ffu.getINFORM(); + } + + } + +} diff --git a/simple_examples/source/int32/E04UCJE.java b/simple_examples/source/int32/E04UCJE.java new file mode 100644 index 0000000..e43d457 --- /dev/null +++ b/simple_examples/source/int32/E04UCJE.java @@ -0,0 +1,211 @@ +import com.nag.routines.E04.E04UC; +import com.nag.routines.E04.E04WB; +import com.nag.routines.E04.E04UE; +import com.nag.routines.F06.DGEMV; +import java.util.Arrays; + +/** + * E04UC example program text. + * @author joed + */ +public class E04UCJE { + + public static final double ONE = 1.0, ZERO = 0.0; + public static final int INC1 = 1, LCWSAV = 1, LIWSAV = 610, LLWSAV = 120, LRWSAV = 475; + public static CONFUN confun = new CONFUN(); + public static OBJFUN objfun = new OBJFUN(); + + public static void main(String[] args) { + + /* Local Scalars */ + double objf; + int i, ifail, inform, iter, j, lda, ldcj, ldr, liwork, lwork, n, nclin, ncnln, sda, sdcjac; + /* Local Arrays */ + double[] a, bl, bu, c, cjac, clamda, objgrd, r, work, x; + double[] ruser = new double[1], rwsav = new double[LRWSAV]; + int[] istate, iwork; + int[] iuser = new int[1], iwsav = new int[LIWSAV]; + boolean[] lwsav = new boolean[LLWSAV]; + String[] cwsav = new String[LCWSAV]; + Arrays.fill(cwsav, + " "); + + System.out.println(" E04UCJ Example Program Results"); + + /* Set scalars */ + n = 4; + nclin = 1; + ncnln = 2; + liwork = 3*n + nclin + 2*ncnln; + lda = Math.max(1, nclin); + sda = (nclin > 0) ? n : 1; + ldcj = Math.max(1, ncnln); + sdcjac = (ncnln > 0) ? n : 1; + ldr = n; + + if (ncnln == 0 && nclin > 0) { + lwork = 2*n*n + 20*n + 11*nclin; + } + else if (ncnln > 0 && nclin >= 0) { + lwork = 2*n*n + n*nclin + 2*n*ncnln + 20*n + 11*nclin + 21*ncnln; + } + else { + lwork = 20*n; + } + + /* Set arrays */ + istate = new int[n + nclin + ncnln]; + iwork = new int[liwork]; + c = new double[Math.max(1, ncnln)]; + cjac = new double[ldcj * sdcjac]; + clamda = new double[n + nclin + ncnln]; + objgrd = new double[n]; + r = new double[ldr * n]; + work = new double[lwork]; + + a = new double[]{1.0, 1.0, 1.0, 1.0}; + bl = new double[]{1.0, 1.0, 1.0, 1.0, -1.0E+25, -1.0E+25, 25.0}; + bu = new double[]{5.0, 5.0, 5.0, 5.0, 20.0, 40.0, 1.0E+25}; + x = new double[]{1.0, 5.0, 5.0, 1.0}; + + /* Initialise E04UC */ + E04WB e04wb = new E04WB(); + ifail = 0; + e04wb.eval("E04UCA", cwsav, LCWSAV, lwsav, LLWSAV, iwsav, LIWSAV, rwsav, LRWSAV, ifail); + E04UE e04ue = new E04UE(); + inform = 0; + e04ue.eval("Print Level = 10", lwsav, iwsav, rwsav, inform); + + /* Solve the problem */ + E04UC e04uc = new E04UC(); + iter = 0; + objf = 0.0; + ifail = -1; + e04uc.eval(n, nclin, ncnln, lda, ldcj, ldr, a, bl, bu, confun, objfun, iter, istate, c, + cjac, clamda, objf, objgrd, r, x, iwork, liwork, work, lwork, iuser, ruser, + lwsav, iwsav, rwsav, ifail); + iter = e04uc.getITER(); + objf = e04uc.getOBJF(); + ifail = e04uc.getIFAIL(); + + if ((0 >= ifail && ifail <= 6) || ifail == 8) { + System.out.println(); + System.out.println(" Varbl Istate Value Lagr Mult"); + System.out.println(); + + for (i = 0; i < n; i++) { + System.out.printf(" V %3d %3d %13.6G %13.4G\n", i+1, istate[i], x[i], clamda[i]); + } + + if (nclin > 0) { + + /* A*x --> work. + * The NAG name equivalent of DGEMV is F06PA */ + DGEMV dgemv = new DGEMV(); + dgemv.eval("N", nclin, n, ONE, a, lda, x, INC1, ZERO, work, INC1); + + System.out.println(); + System.out.println(); + System.out.println(" L Con Istate Value Lagr Mult"); + System.out.println(); + + for (i = n; i < n+nclin; i++) { + j = i - n; + System.out.printf(" L %3d %3d %13.6G %13.4G\n", j+1, istate[i], work[j], clamda[i]); + } + + } + + if (ncnln > 0) { + System.out.println(); + System.out.println(); + System.out.println(" N Con Istate Value Lagr Mult"); + System.out.println(); + + for (i = n+nclin; i < n+nclin+ncnln; i++) { + j = i - n - nclin; + System.out.printf(" N %3d %3d %13.6G %13.4G\n", j+1, istate[i], c[j], clamda[i]); + } + + } + + System.out.println(); + System.out.println(); + System.out.printf(" Final objective value = %11.7G\n", objf); + + } + + } + + /** Routine to evaluate objective function and its 1st derivatives. */ + public static class OBJFUN extends E04UC.Abstract_E04UC_OBJFUN { + + public void eval() { + + if (MODE == 0 || MODE == 2) { + OBJF = X[0] * X[3] * (X[0]+X[1]+X[2]) + X[2]; + } + + if (MODE == 1 || MODE == 2) { + OBJGRD[0] = X[3] * (X[0]+X[0]+X[1]+X[2]); + OBJGRD[1] = X[0] * X[3]; + OBJGRD[2] = X[0] * X[3] + ONE; + OBJGRD[3] = X[0] * (X[0]+X[1]+X[2]); + } + + } + + } + + /** Routine to evaluate the nonlinear constraints and their 1st derivatives. */ + public static class CONFUN extends E04UC.Abstract_E04UC_CONFUN { + + public void eval() { + + if (NSTATE == 1) { + + /* First call to CONFUN. Set all Jacobian elements to zero. + * Note that this will only work when 'Derivative Level = 3' + * (the default; see Section 11.2). */ + + for (int i = 0; i < CJAC.length; ++i) { + CJAC[i] = 0; + } + + } + + if (NEEDC[0] > 0) { + + if (MODE == 0 || MODE == 2) { + C[0] = X[0]*X[0] + X[1]*X[1] + X[2]*X[2] + X[3]*X[3]; + } + + if (MODE == 1 || MODE == 2) { + CJAC[0] = X[0] + X[0]; + CJAC[LDCJ] = X[1] + X[1]; + CJAC[2*LDCJ] = X[2] + X[2]; + CJAC[3*LDCJ] = X[3] + X[3]; + } + + } + + if (NEEDC[1] > 0) { + + if (MODE == 0 || MODE == 2) { + C[1] = X[0]*X[1]*X[2]*X[3]; + } + + if (MODE == 1 || MODE == 2) { + CJAC[1] = X[1]*X[2]*X[3]; + CJAC[1+LDCJ] = X[0]*X[2]*X[3]; + CJAC[1+2*LDCJ] = X[0]*X[1]*X[3]; + CJAC[1+3*LDCJ] = X[0]*X[1]*X[2]; + } + + } + + } + + } + +} diff --git a/simple_examples/source/int32/E04YAJE.java b/simple_examples/source/int32/E04YAJE.java new file mode 100644 index 0000000..72d80da --- /dev/null +++ b/simple_examples/source/int32/E04YAJE.java @@ -0,0 +1,112 @@ +import com.nag.routines.E04.E04YA; + + +/** + * E04YA example program text. + * @author joed + */ +public class E04YAJE { + + public static LSQFUN lsqfun = new LSQFUN(); + public static final int LIW = 1, MDEC = 15, NDEC = 3; + public static final int LDFJAC = MDEC; + public static final int LW = 3*NDEC + MDEC + MDEC*NDEC; + public static double[] t = new double[MDEC*NDEC], y = new double[MDEC]; + + /** Routine to evaluate the residuals and their 1st derivatives. */ + public static class LSQFUN extends E04YA.Abstract_E04YA_LSQFUN { + + public void eval() { + double denom, dummy; + int i; + + for (i = 0; i < M; i++) { + denom = (XC[1] * t[MDEC + i]) + (XC[2] * t[2*MDEC + i]); + + if (IFLAG != 1) { + FVEC[i] = XC[0] + (t[i]/denom) - y[i]; + } + + if (IFLAG != 0) { + FJAC[i] = 1.0; + dummy = -1.0/(denom*denom); + FJAC[MDEC + i] = t[i] * t[MDEC + i] * dummy; + FJAC[2*MDEC + i] = t[i] * t[2*MDEC + i] * dummy; + } + + } + } + + } + + public static void main(String[] args) { + int i, ifail, m, n; + double[] fjac = new double[LDFJAC*NDEC], fvec = new double[MDEC], + w = new double[LW], x = new double[NDEC]; + int[] iw = new int[LIW]; + + System.out.println(" E04YAJ Example Program Results"); + + n = NDEC; + m = MDEC; + + /* Observations of TJ (J = 1, 2, ..., n) are held in T(I, J) + * (I = 1, 2, ..., m) */ + + y = new double[]{0.14, 0.18, 0.22, 0.25, 0.29, 0.32, 0.35, 0.39, 0.37, + 0.58, 0.73, 0.96, 1.34, 2.10, 4.39}; + for (i = 0; i < m; i++) { + t[i] = i + 1.0; + t[m + i] = 15.0 - i; + t[2*m + i] = -Math.abs(i - 7.0) + 8.0; + } + + /* Set up an arbitrary point at which to check the 1st derivatives */ + + x[0] = 0.19; + x[1] = -1.34; + x[2] = 0.88; + + System.out.println(); + System.out.println("The test point is"); + System.out.printf(" "); + for (i = 0; i < n; i++) { + System.out.printf("%10.5f", x[i]); + } + System.out.printf("\n"); + + E04YA e04ya = new E04YA(); + ifail = -1; + e04ya.eval(m, n, lsqfun, x, fvec, fjac, LDFJAC, iw, LIW, w, LW, ifail); + ifail = e04ya.getIFAIL(); + + if (ifail >= 0 && ifail != 1) { + + switch (ifail) { + case 0: + System.out.println(); + System.out.println("1st derivatives are consistent with residual values"); + break; + case 2: + System.out.println(); + System.out.println("Probable error in calculation of 1st derivatives"); + break; + default: + } + + System.out.println(); + System.out.println("At the test point, LSQFUN gives"); + System.out.println(); + System.out.println(" Residuals 1st derivatives"); + for (i = 0; i < m; i++) { + System.out.printf(" %15.3E", fvec[i]); + System.out.printf("%15.3E", fjac[i]); + System.out.printf("%15.3E", fjac[LDFJAC + i]); + System.out.printf("%15.3E\n", fjac[2*LDFJAC + i]); + } + + } + + } + +} diff --git a/simple_examples/source/int32/F01ADJE.java b/simple_examples/source/int32/F01ADJE.java new file mode 100644 index 0000000..4167f71 --- /dev/null +++ b/simple_examples/source/int32/F01ADJE.java @@ -0,0 +1,39 @@ +import com.nag.routines.F01.F01AD; +import com.nag.routines.X04.X04CA; + + +/** + * F01AD example program text. + * @author joed + */ +public class F01ADJE { + + public static void main(String[] args) { + + int i, ifail, lda, n; + double[] a; + + System.out.println(" F01ADJ Example Program Results"); + System.out.println(); + + n = 4; + lda = n + 1; + a = new double[] { + 5.0, 7.0, 6.0, 5.0, 0.0, + 7.0, 10.0, 8.0, 7.0, 0.0, + 6.0, 8.0, 10.0, 9.0, 0.0, + 5.0, 7.0, 9.0, 10.0, 0.0 + }; + + F01AD f01ad = new F01AD(); + ifail = -1; + f01ad.eval(n, a, lda, ifail); + ifail = f01ad.getIFAIL(); + + /* Print the result matrix A */ + X04CA x04ca = new X04CA(); + x04ca.eval("L", "B", lda, n, a, lda, "Lower triangle of inverse", ifail); + + } + +} diff --git a/simple_examples/source/int32/F01CKJE.java b/simple_examples/source/int32/F01CKJE.java new file mode 100644 index 0000000..ed3ffa2 --- /dev/null +++ b/simple_examples/source/int32/F01CKJE.java @@ -0,0 +1,60 @@ +import com.nag.routines.F01.F01CK; +import com.nag.routines.X04.X04CB; +import java.util.logging.Level; +import java.util.logging.Logger; + + +/** + * F01CK example program text. + * @author ludovic + */ +public class F01CKJE { + + public static void main(String[] args) { + + double[] a, b, c, z; + int n, p, m, iz, opt; + int ifail; + + m = 3; + n = p = 2; + iz = 1; + opt = 1; + a = new double[n * p]; + b = new double[n * m]; + c = new double[m * p]; + z = new double[iz]; + ifail = 0; + + System.out.println(" F01CKJ Example Program Results"); + + // Initialising b and c + + for (int i = 0; i < m; ++i) { + for (int j = 0; j < n; ++j) { + b[j+i*n] = (double) (i+j); + } + for (int j = 0; j < p; ++j) { + c[i+j*m] = (double) (i+j); + } + } + + F01CK f01ck = new F01CK(a, b, c, n, p, m, z, iz, opt, ifail); + f01ck.eval(); + ifail = f01ck.getIFAIL(); + String title = "Matrix A"; + System.out.println(); + System.out.flush(); + ifail = 0; + + String matrix = "G", diag = "N", nolabel = "N", form = "F7.1"; + String[] dummy = {" "}; + int ncols = 80; + int indent = 0; + + (new X04CB()).eval(matrix,diag,n,p,a,n,form,title,nolabel,dummy,nolabel, + dummy,ncols,indent, ifail); + + } + +} diff --git a/simple_examples/source/int32/F01CRJE.java b/simple_examples/source/int32/F01CRJE.java new file mode 100644 index 0000000..c10b284 --- /dev/null +++ b/simple_examples/source/int32/F01CRJE.java @@ -0,0 +1,47 @@ +import com.nag.routines.F01.F01CR; +import java.util.logging.Level; +import java.util.logging.Logger; + + +/** + * F01CR example program text. + * @author ludovic + */ +public class F01CRJE { + + public static void main(String[] args) { + System.out.println(" F01CRJ Example Program Results"); + double[] a; + int m,n,mn,lmove; + int[] move; + int ifail; + n = 7; + m = 3; + mn = m*n; + lmove = (m + n)/2; + a = new double[mn]; + move = new int[lmove]; + ifail = 1; + + for (int i = 0; i < mn; i++) { + a[i] = i+1.0; + } + + F01CR f01cr = new F01CR(a, m, n, mn, move, lmove, ifail); + f01cr.eval(); + + System.out.println(); + int index = 0; + for (int i = 0; i < mn; ++i) { + System.out.printf(" %7.1f",a[i]); + ++index; + if (index == 7) { + System.out.println(); + index = 0; + } + } + System.out.println(); + + } + +} diff --git a/simple_examples/source/int32/F01DGJE.java b/simple_examples/source/int32/F01DGJE.java new file mode 100644 index 0000000..107137f --- /dev/null +++ b/simple_examples/source/int32/F01DGJE.java @@ -0,0 +1,72 @@ +import com.nag.routines.F01.F01DG; +import com.nag.routines.X04.X04CA; + +/** + * F01DG example program text. + * @author joed + * @since 27.0.0.0 + */ +public class F01DGJE { + + /** + * F01DG example main program. + */ + public static void main(String[] args) { + + F01DG f01dg = new F01DG(); + X04CA x04ca = new X04CA(); + double alpha; + int i, ifail, lda, ldb, n; + String side, transa, uplo; // Length 1 + double[] a, b; + + System.out.println("F01DGJ Example Program Results\n"); + + // Values for side, uplo and transa + side = "L"; + uplo = "U"; + transa = "T"; + + // Order of square matrices + n = 4; + lda = n; + ldb = n; + + // Scaling constant alpha + alpha = 0.4; + + // Set input matrices (column-major order) + a = new double[]{ + 1.5, 0.0, 0.0, 0.0, + 2.3, 3.4, 0.0, 0.0, + 6.7, 5.4, 8.1, 0.0, + 1.9, 8.6, 2.0, 5.9 + }; + b = new double[]{ + 3.5, 0.0, 0.0, 0.0, + 2.1, 5.6, 0.0, 0.0, + 4.0, 2.1, 1.7, 0.0, + 2.1, 2.5, 1.1, 7.4 + }; + + /* ifail: behaviour on error exit + * = 0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft */ + ifail = 0; + + // Find B=alpha*A*B + f01dg.eval(side, uplo, transa, n, alpha, a, lda, b, ldb, ifail); + ifail = f01dg.getIFAIL(); + + // Print the solution + if (ifail == 0) { + if (transa.equals("N")) { + x04ca.eval(uplo, "N", n, n, b, n, "Solution matrix B", ifail); + } + else { + x04ca.eval("G", "N", n, n, b, n, "Solution matrix B", ifail); + } + } + + } + +} diff --git a/simple_examples/source/int32/F01ELJE.java b/simple_examples/source/int32/F01ELJE.java new file mode 100644 index 0000000..9986c6c --- /dev/null +++ b/simple_examples/source/int32/F01ELJE.java @@ -0,0 +1,89 @@ +import com.nag.routines.F01.F01EL; +import com.nag.routines.Routine; +import com.nag.routines.X04.X04CA; +import com.nag.types.NAGComplex; +import com.nag.types.NAGComplexInterface; +import java.util.Arrays; + +/** + * F01EL example program text. + * @author joed + */ +public class F01ELJE { + + public static void main(String[] args) { + + F01EL f01el = new F01EL(); + X04CA x04ca = new X04CA(); + + FCos2 fcos2 = new FCos2(); + double imnorm; + int i, ifail, iflag, lda, n; + double[] a, ruser = new double[1]; + int[] iuser = new int[1]; + + Routine.setComplex(new NAGComplex()); + + System.out.println(" F01ELJ Example Program Results"); + System.out.println(); + + // Problem data + n = 4; + a = new double[] { + 3.0, -1.0, 0.0, 2.0, 0.0, 1.0, 2.0, 1.0, 1.0, 3.0, 2.0, -1.0, 2.0, 1.0, 1.0, 1.0 + }; + + // Find f(A) + lda = n; + iflag = 0; + imnorm = 0; + ifail = 0; + f01el.eval(n, a, lda, fcos2, iuser, ruser, iflag, imnorm, ifail); + + // Print solution + ifail = 0; + x04ca.eval("G", "N", n, n, a, lda, "F(A) = COS(2A)", ifail); + + // Print the norm of the imaginary part to check it is small + System.out.println(); + System.out.println(" Imnorm = " + imnorm); + + } + + public static class FCos2 extends F01EL.Abstract_F01EL_F { + + /* These methods should really be part of an extension of NAGComplex. */ + + private NAGComplex complexCos(NAGComplexInterface z) { + NAGComplex cosz = new NAGComplex(); + cosz.setRe(Math.cos(z.getRe()) * Math.cosh(z.getIm())); + cosz.setIm(-Math.sin(z.getRe()) * Math.sinh(z.getIm())); + return cosz; + } + + private NAGComplex complexMult(NAGComplexInterface a, NAGComplexInterface b) { + NAGComplex ab = new NAGComplex(); + ab.setRe((a.getRe()*b.getRe()) - (a.getIm()*b.getIm())); + ab.setIm((a.getRe()*b.getIm()) + (a.getIm()*b.getRe())); + return ab; + } + + /* Calculate F(A) = COS(2A) */ + + public void eval() { + + NAGComplex two = new NAGComplex(); + two.setRe(2.0); + two.setIm(0.0); + + for (int i = 0; i < this.NZ; i++) { + this.FZ[i] = (NAGComplex) complexCos(complexMult(two, this.Z[i])); + } + + this.IFLAG = 0; + + } + + } + +} diff --git a/simple_examples/source/int32/F01EMJE.java b/simple_examples/source/int32/F01EMJE.java new file mode 100644 index 0000000..716a7b5 --- /dev/null +++ b/simple_examples/source/int32/F01EMJE.java @@ -0,0 +1,106 @@ +import com.nag.routines.F01.F01EM; +import com.nag.routines.X04.X04CA; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +/** + * F01EMJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class F01EMJE{ + + /** + * F01EMJ Example main program + */ + public static void main(String[] args){ + double imnorm = 0; + int ifail, iflag = 0, lda, n; //placeholders + double[] a, ruser; + int[] iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println("F01EMJ Example Program Results"); + System.out.println(); + + //Tell wrapper what type of complex type is going to be used + Routine.setComplex(new NAGComplex()); + + //Problem size + n = 4; + lda = n; + + //Allocate + a = new double[lda * n]; + + //Data + //A = ( 1, 0,-2, 1) + // (-1, 2, 0, 1) + // ( 2, 0, 1, 0) + // ( 1, 0,-2, 2) + a[0] = 1; + a[1] = -1; + a[2] = 2; + a[3] = 1; + a[4] = 0; + a[5] = 2; + a[6] = 0; + a[7] = 0; + a[8] = -2; + a[9] = 0; + a[10] = 1; + a[11] = -1; + a[12] = 1; + a[13] = 1; + a[14] = 0; + a[15] = 2; + + //Find f(A) + ifail = 0; + //Create fexp2 object to pass to wrapper + fexp2 f = new fexp2(); + F01EM f01em = new F01EM(n, a, lda, f, iuser, ruser, iflag, imnorm, ifail); + f01em.eval(); + + //Print solution + ifail = 0; + X04CA x04ca = new X04CA("G", "N", n, n, a, lda, "F(A) = EXP(2A)", ifail); + x04ca.eval(); + + //Print the norm oof the imaginary part to check if it small + System.out.println(); + System.out.printf("Imnorm = %.2f\n", imnorm); + } + + /** + * fexp2 class representing f routine argument + */ + public static class fexp2 extends F01EM.Abstract_F01EM_F{ + public void eval(){ + NAGComplex two = new NAGComplex(2, 0); + NAGComplex twoPowM = new NAGComplex(2, 0); + + twoPowM.setRe(Math.pow(2, this.M)); + + for(int i = 0; i < this.NZ; i++){ + this.FZ[i] = NAGComplex.multiply(twoPowM, this.complexExp(NAGComplex.multiply(two, (NAGComplex) this.Z[i]))); + } + + //Set iflag nonzero to terminate exectuion for any reason + this.IFLAG = 0; + } + + //Raises e ^ z where z is a complex number + //Uses eulers formula; + //c ^ (a + bi) = c^a * ((cos(bln(c))) + isin(bln(c))) + public NAGComplex complexExp(NAGComplex x){ + NAGComplex tmp = new NAGComplex(); + tmp.setRe(Math.cos(x.getIm())); + tmp.setIm(Math.sin(x.getIm())); + NAGComplex ans = NAGComplex.multiply(new NAGComplex(Math.exp(x.getRe()), 0), tmp); + return ans; + } + } +} diff --git a/simple_examples/source/int32/F02EKJE.java b/simple_examples/source/int32/F02EKJE.java new file mode 100644 index 0000000..3737022 --- /dev/null +++ b/simple_examples/source/int32/F02EKJE.java @@ -0,0 +1,227 @@ +import com.nag.routines.F02.F02EK; +import com.nag.routines.F12.F12AD; +import com.nag.routines.Routine; +import com.nag.routines.X02.X02AJ; +import com.nag.types.NAGComplex; +import com.nag.types.NAGComplexInterface; +import java.util.Arrays; + +/** + * F02EK example program text. + * @author joed + */ +public class F02EKJE { + + public static MYMONIT mymonit = new MYMONIT(); + public static MYOPTION myoption = new MYOPTION(); + + public static void main(String[] args) { + F02EK f02ek = new F02EK(); + X02AJ x02aj = new X02AJ(); + double h, rho, s, sigma; + int ifail, imon, k, ldv, maxit, mode, n, nconv, ncv, nev, nnz, nx, + prtlvl; + NAGComplex complex = new NAGComplex(); + double[] a, resid, v, ruser = new double[1]; + int[] icolzp, irowix, iuser = new int[4]; + NAGComplex[] w; + + Routine.setComplex(complex); + + System.out.println(" F02EKJ Example Program Results"); + System.out.println(); + + nx = 10; + nev = 4; + ncv = 20; + rho = 10.0; + sigma = 5.5; + + n = nx * nx; + nnz = 3*n - 2; + ldv = n; + + resid = new double[ncv]; + a = new double[nnz]; + icolzp = new int[n + 1]; + irowix = new int[nnz]; + w = (NAGComplex[]) complex.getArrayOfInstances(ncv); + v = new double[ldv * ncv]; + + // Construct A in compressed column storage (CCS) format where: + // A{ i , i } = 2 + i + // A{i+1, i } = 3 + // A{ i , i+1} = rho/(2n+2) - 1 + + h = 1.0 / (double)(n+1); + s = (rho * h / 2.0) - 1.0; + + a[0] = 2.0 + 1.0; + a[1] = 3.0; + icolzp[0] = 1; + irowix[0] = 1; + irowix[1] = 2; + k = 3; + + for (int i = 1; i < n - 1; i++) { + icolzp[i] = k; + irowix[k - 1] = i; + irowix[k] = i + 1; + irowix[k + 1] = i + 2; + a[k - 1] = s; + a[k] = 2.0 + (double)(i + 1); + a[k + 1] = 3.0; + k += 3; + } + + icolzp[n - 1] = k; + icolzp[n] = k + 2; + irowix[k - 1] = n - 1; + irowix[k] = n; + a[k - 1] = s; + a[k] = 2.0 + (double)(n); + + // Set some options via iuser array and return routine argument OPTION + // iuser[0] = print level + // iuser[1] = iteration limit + // iuser[2] > 0 means shifted-invert mode + // iuser[3] > 0 means print monitoring info + + prtlvl = 0; + maxit = 500; + mode = 1; + imon = 1; + + if (prtlvl > 0) { + imon = 0; + } + + iuser[0] = prtlvl; + iuser[1] = maxit; + iuser[2] = mode; + iuser[3] = imon; + + nconv = 0; // placeholder value, nconv is output only + ifail = 0; // hard exit on error + + f02ek.eval( + n, nnz, a, icolzp, irowix, nev, ncv, sigma, mymonit, myoption, + nconv, w, v, ldv, resid, iuser, ruser, ifail + ); + ifail = f02ek.getIFAIL(); + nconv = f02ek.getNCONV(); + + System.out.println(); + System.out.printf( + " The %4d Ritz values of closest to %13.5E are:\n", nconv, sigma + ); + + // Get machine precision + double mp = x02aj.eval(); + + for (int i = 0; i < nconv; i++) { + if (resid[i] > (double)(100*n*mp)) { + System.out.printf( + " %8d ( %13.5E , %13.5E ) %13.5E\n", + i + 1, w[i], resid[i] + ); + } + else { + System.out.printf( + " %8d ( %13.5E , %13.5E )\n", + i + 1, w[i].getRe(), w[i].getIm() + ); + } + } + + } + + public static class MYOPTION extends F02EK.Abstract_F02EK_OPTION { + + public void eval() { + F12AD f12ad = new F12AD(); + int ifail1; + String rec = " "; + + this.ISTAT = 0; + + if (this.IUSER[0] > 0) { + System.out.printf("Print Level=%5d\n", this.IUSER[0]); + ifail1 = 1; + f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[1] > 100) { + System.out.printf("Iteration Limit=%5d\n", this.IUSER[1]); + ifail1 = 1; + f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[2] > 0) { + ifail1 = 1; + f12ad.eval( + "Shifted Inverse Real ", this.ICOMM, this.COMM, ifail1 + ); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + } + + } + + public static class MYMONIT extends F02EK.Abstract_F02EK_MONIT { + + public NAGComplexInterface[] getW() { + return this.W; + } + + public void eval() { + + if (this.IUSER[3] > 0) { + + if (this.NITER == 1 && this.IUSER[2] > 0) { + System.out.printf( + " Arnoldi basis vectors used:%4d\n", this.NCV + ); + System.out.printf( + " The following Ritz values (mu) are related to the\n" + + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" + ); + } + + System.out.println(); + System.out.printf(" Iteration number %4d\n", this.NITER); + System.out.printf( + " Ritz values converged so far (%4d) and their Ritz" + + " estimates:\n", this.NCONV + ); + + for (int i = 0; i < this.NCONV; i++) { + System.out.printf( + " %4d (%13.5E,%13.5E) %13.5E\n", + i + 1, this.W[i].getRe(), this.W[i].getIm(), + this.RZEST[i] + ); + } + + System.out.printf(" Next (unconverged) Ritz value:\n"); + + System.out.printf( + " %4d (%13.5E,%13.5E)\n", + this.NCONV + 1, this.W[NCONV].getRe(), this.W[NCONV].getIm() + ); + + } + + this.ISTAT = 0; + + } + + } + +} diff --git a/simple_examples/source/int32/F02FKJE.java b/simple_examples/source/int32/F02FKJE.java new file mode 100644 index 0000000..0dd7ab9 --- /dev/null +++ b/simple_examples/source/int32/F02FKJE.java @@ -0,0 +1,230 @@ +import com.nag.routines.F02.F02FK; +import com.nag.routines.F12.F12FD; +import com.nag.routines.X04.X04AB; +import com.nag.routines.X04.X04CA; +import java.util.Arrays; + +/** + * F02FK example program text. + * @author joed + */ +public class F02FKJE { + + public static MYMONIT mymonit = new MYMONIT(); + public static MYOPTION myoption = new MYOPTION(); + + public static void main(String[] args) { + F02FK f02fk = new F02FK(); + X04AB x04ab = new X04AB(); + X04CA x04ca = new X04CA(); + double h2, sigma; + int iset = 1, ifail, imon, k, ldv, lo, maxit, mode, n, nconv, ncv, nev, + nnz, nx, outchn, prtlvl; + double[] a, dPrint, resid, v, w, ruser = new double[1]; + int[] icol, irow, iuser = new int[4]; + + + System.out.println(" F02FKJ Example Program Results"); + System.out.println(); + + nx = 20; + nev = 8; + ncv = 20; + sigma = 1.0; + + // Construct the matrix A in sparse form and store in A. + // The main diagonal of A is full and there are two subdiagonals of A: + // the first and the nx-th. + + n = nx * nx; + nnz = (3 * n) - (2 * nx); + a = new double[nnz]; + irow = new int[nnz]; + icol = new int[nnz]; + + // Zero out A. + Arrays.fill(a, 0.0); + + // Main diagonal of A. + h2 = 1.0 / (double)((nx + 1) * (nx + 1)); + for (int i = 1; i <= n; i++) { + irow[i - 1] = i; + icol[i - 1] = i; + a[i - 1] = 4.0 / h2; + } + + // First subdiagonal of A. + k = n; + for (int i = 1; i <= nx; i++) { + lo = (i - 1) * nx; + for (int j = lo + 1; j <= lo + nx - 1; j++) { + k += 1; + irow[k - 1] = j + 1; + icol[k - 1] = j; + a[k - 1] = -1.0 / h2; + } + } + + // nx-th subdiagonal. + for (int i = 1; i <= nx - 1; i++) { + lo = (i - 1) * nx; + for (int j = lo + 1; j <= lo + nx; j++) { + k += 1; + irow[k - 1] = j + nx; + icol[k - 1] = j; + a[k - 1] = -1.0 / h2; + } + } + + // Set some options via iuser array and routine argument OPTION. + // iuser[0] = print level, + // iuser[1] = iteration limit, + // iuser[2]>0 means shifted-invert mode + // iuser[3]>0 means print monitoring info + + prtlvl = 0; + maxit = 500; + mode = 1; + imon = 0; + + ruser[0] = 1.0; + iuser[0] = prtlvl; + iuser[1] = maxit; + iuser[2] = mode; + iuser[3] = imon; + + // Find eigenvalues of largest magnitude and the corresponding + // eigenvectors. + + ldv = n; + w = new double[ncv]; + v = new double[ldv * ncv]; + resid = new double[n]; + + nconv = 0; // placeholder + + ifail = -1; + f02fk.eval( + n, nnz, a, irow, icol, nev, ncv, sigma, mymonit, myoption, nconv, + w, v, ldv, resid, iuser, ruser, ifail + ); + ifail = f02fk.getIFAIL(); + nconv = f02fk.getNCONV(); + if (ifail != 0) { + System.err.println(" ** F02FK returned with IFAIL = " + ifail); + } + + + + // Print Eigenvalues and the residual norm ||A*x - lambda*x||. + dPrint = new double[nconv * 2]; + for (int i = 1; i <= nconv; i++) { + dPrint[getIdx(i, 1, nconv)] = w[i - 1]; + dPrint[getIdx(i, 2, nconv)] = resid[i - 1]; + } + + System.out.println(); + + ifail = 0; + x04ca.eval( + "G", "N", nconv, 2, dPrint, nconv, " Ritz values and residuals", + ifail + ); + + } + + public static class MYOPTION extends F02FK.Abstract_F02FK_OPTION { + + public void eval() { + F12FD f12fd = new F12FD(); + int ifail1; + String rec = " "; // Required len = 25 + + this.ISTAT = 0; + + if (this.IUSER[0] > 0) { + System.out.printf(" Print Level=%5d\n", this.IUSER[0]); + ifail1 = 1; + f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12fd.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[1] > 100) { + System.out.printf(" Iteration Limit=%5d\n", this.IUSER[1]); + ifail1 = 1; + f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12fd.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[2] > 0) { + ifail1 = 1; + f12fd.eval( + "Shifted Inverse ", this.ICOMM, this.COMM, ifail1 + ); + ifail1 = f12fd.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + } + + } + + public static class MYMONIT extends F02FK.Abstract_F02FK_MONIT { + + public void eval() { + + if (this.IUSER[3] > 0) { + + if (this.NITER == 1 && this.IUSER[2] > 0) { + System.out.printf( + " Arnoldi basis vectors used:%4d\n", this.NCV + ); + System.out.printf( + " The following Ritz values (mu) are related to the\n" + + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" + ); + } + + System.out.println(); + System.out.printf(" Iteration number %4d\n", this.NITER); + System.out.printf( + " Ritz values converged so far(%4d) and their Ritz" + + " estimates:\n", this.NCONV + ); + + for (int i = 0; i < this.NCONV; i++) { + System.out.printf( + " %4d %13.5E %13.5E\n", i+1, this.W[i], this.RZEST[i] + ); + } + + System.out.printf(" Next (uncoverged) Ritz value:\n"); + System.out.printf( + " %4d %13.5E\n", this.NCONV + 1, this.W[this.NCONV + 1] + ); + + } + + this.ISTAT = 0; + + } + + } + + /** + * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based + * Java index. + * + *

    Fortran array definition: + * a(dimX, *) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + +} diff --git a/simple_examples/source/int32/F02WGJE.java b/simple_examples/source/int32/F02WGJE.java new file mode 100644 index 0000000..36c26c6 --- /dev/null +++ b/simple_examples/source/int32/F02WGJE.java @@ -0,0 +1,132 @@ +import com.nag.routines.F02.F02WG; +import java.util.Arrays; + +/** + * F02WG example program text. + * @author joed + */ +public class F02WGJE { + + public static AV av = new AV(); + + public static void main(String[] args) { + int ifail, k, ldu, ldv, m, n, nconv, ncv; + double[] resid, sigma, u, v; + double[] ruser = new double[1]; + int[] iuser = new int[1]; + + /* Set up wrappers */ + F02WG f02wg = new F02WG(); + + System.out.println(" F02WGJ Example Program Results\n"); + + /* Set F02WG args */ + m = 100; + n = 500; + k = 4; + ncv = 10; + nconv = 0; + ldu = m; + ldv = n; + resid = new double[ncv]; + sigma = new double[ncv]; + u = new double[ldu * ncv]; + v = new double[ldv * ncv]; + ifail = 0; + + /* Call routine */ + f02wg.eval( + m, // Rows in A + n, // Cols in A + k, // Num. of singular values to be computed + ncv, // Dimension of sigma and resid + av, // Subroutine that returns Ax or (A^T)x + nconv, // [Output] + sigma, // [Output] + u, // [Output] + ldu, // 1st dimension of u + v, // [Output] + ldv, // 1st dimension of v + resid, // [Output] + iuser, + ruser, + ifail + ); + + /* Get non-array output args */ + ifail = f02wg.getIFAIL(); + nconv = f02wg.getNCONV(); + + /* Print results */ + System.out.println(" Singular Value Residual"); + for (int i = 0; i < nconv; i++) { + System.out.printf( + " %10.5f %10.2G\n", sigma[i], resid[i] + ); + } + + } + + public static class AV extends F02WG.Abstract_F02WG_AV { + + public void eval() { + + double H = 1.0 / ((double)(this.M + 1)); + double K = 1.0 / ((double)(this.N + 1)); + + if (this.IFLAG == 1) { + + for (int i = 0; i < this.M; i++) { + this.AX[i] = 0.0; + } + + double S = 0.0; + double T = 0.0; + + for (int j = 0; j < this.N; j++) { + T += K; + S = 0.0; + + for (int i = 0; i < Math.min(j+1, this.M); i++) { + S += H; + this.AX[i] += K * S * (T - 1.0) * this.X[j]; + } + for (int i = j + 1; i < this.M; i++) { + S += H; + this.AX[i] += K * T * (S - 1.0) * this.X[j]; + } + + } + + } + else { + + for (int i = 0; i < this.N; i++) { + this.AX[i] = 0.0; + } + + double S = 0.0; + double T = 0.0; + + for (int j = 0; j < this.N; j++) { + T += K; + S = 0.0; + + for (int i = 0; i < Math.min(j+1, this.M); i++) { + S += H; + this.AX[j] += K * S * (T - 1.0) * this.X[i]; + } + for (int i = j + 1; i < this.M; i++) { + S += H; + this.AX[j] += K * T * (S - 1.0) * this.X[i]; + } + + } + + } + + } + + } + +} diff --git a/simple_examples/source/int32/F03BAJE.java b/simple_examples/source/int32/F03BAJE.java new file mode 100644 index 0000000..673ddec --- /dev/null +++ b/simple_examples/source/int32/F03BAJE.java @@ -0,0 +1,108 @@ +import com.nag.routines.F03.F03BA; +import com.nag.routines.F07.F07AD; +import com.nag.routines.X04.X04CA; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * F03BAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class F03BAJE{ + + /** + * F03BAJ example main program. + */ + public static void main(String[] args){ + double d = 0; + int id = 0, ifail, info = 0, lda = 0, n = 0; + double[] a; + int[] ipiv; + + //Should initialise values so java doesn't give any errors because of try/catch + a = new double[n]; + ipiv = new int[n]; + + System.out.println("F03BAJ Example Program Results"); + + //If file name not given print usage info + if(args.length != 1){ + F03BAJE.usage(); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[1]); + + lda = n; + + //reallocate with values from data file + a = new double[n * lda]; + ipiv = new int[n]; + + //read in matrix + for(int i = 0; i < n; i++){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < n; j++){ + a[i + (j * n)] = Double.parseDouble(sVal[j]); + } + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + F07AD f07ad = new F07AD(n, n, a, lda, ipiv, info); + f07ad.eval(); + + ifail = 0; + + //Print out matrix + System.out.println(); + X04CA x04ca = new X04CA("G", "N", n, n, a, lda, "Array A after factorization", ifail); + x04ca.eval(); + + System.out.println(); + System.out.println("Pivots"); + for(int i = 0; i < n; i++){ + System.out.printf("\t%d ", ipiv[i]); + } + System.out.printf("\n"); + System.out.println(); + + ifail = 0; + + F03BA f03ba = new F03BA(n, a, lda, ipiv, d, id, ifail); + f03ba.eval(); + d = f03ba.getD(); + id = f03ba.getID(); + + System.out.printf("D = \t%.5f ID = \t%d\n", d, id); + System.out.println(); + System.out.printf("Value of determinant = %.5e\n", d * Math.pow(2.0, id)); + + } + + /** + * Print usage information. + */ + private static void usage(){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + +} + diff --git a/simple_examples/source/int32/F04AMJE.java b/simple_examples/source/int32/F04AMJE.java new file mode 100644 index 0000000..a498b2b --- /dev/null +++ b/simple_examples/source/int32/F04AMJE.java @@ -0,0 +1,114 @@ +import com.nag.routines.F04.F04AM; +import com.nag.routines.X02.X02AJ; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * F04AMJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class F04AMJE{ + + /** + * F04AMJ example main program. + */ + public static void main(String[] args){ + int m = 0, n = 0; + int ifail, ir, lda, ldb, ldqr, ldx; + double eps; + double[] a, b, alpha, e, qr, r, x, y, z; + int[] ipiv; + + System.out.println("F04AMJ Example Program Results"); + + if(args.length != 1){ + F04AMJE.usage(); + } + + //declare so try/catch works + a = new double[0]; + b = new double[0]; + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + m = Integer.parseInt(sVal[1]); + n = Integer.parseInt(sVal[2]); + + a = new double[m * n]; + b = new double[m * 1]; + + for(int i = 0; i < m; i++){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < n; j++){ + a[i + (j * m) ] = Double.parseDouble(sVal[j]); + } + for(int j = n; j < m; j++){ + b[i + (j * (m - (n + 1)))] = Double.parseDouble(sVal[j]); + } + } + } + catch(FileNotFoundException err){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException err){ + System.err.println("***FATAL: Can't read " + filename + "\n" + err.getMessage()); + } + //Setting these in try block is more robust but less neat + //May be needed for array sizes~ + ir = 1; + lda = m; + ldb = m; + ldqr = m; + ldx = n; + + alpha = new double[n]; + e = new double[n]; + qr = new double[ldqr * n]; + r = new double[m]; + x = new double[ldx * ir]; + y = new double[n]; + z = new double[n]; + ipiv = new int[n]; + + X02AJ x02aj = new X02AJ(); + eps = x02aj.eval(); + + ifail = 0; + + F04AM f04am = new F04AM(a, lda, x, ldx, b, ldb, m, n, ir, eps, qr, ldqr, alpha, e, y, z, r, ipiv, ifail); + f04am.eval(); + //update any values you want here + x = f04am.getX(); + + System.out.println("Solution"); + for(int i = 0; i < n; i++){ + for(int j = 0; j < ir; j++){ + System.out.printf("%.4f ", x[j + (i * ir)]); + } + System.out.printf("\n"); + } + } + + /** + * No arguments supplied when example runs + */ + private static void usage() { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} + + + + + + diff --git a/simple_examples/source/int32/F04BAJE.java b/simple_examples/source/int32/F04BAJE.java new file mode 100644 index 0000000..79c2b01 --- /dev/null +++ b/simple_examples/source/int32/F04BAJE.java @@ -0,0 +1,144 @@ +import com.nag.routines.F04.F04BA; +import com.nag.routines.X04.X04CA; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * F04BAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class F04BAJE{ + + /** + * F04BAJ example main program. + */ + public static void main(String[] args){ + int n = 0, nrhs = 0, lda = 0, ldb = 0; //placeholder + int ierr, ifail; + double errbnd, rcond; + double a[], b[]; + int ipiv[]; + + a = new double[0]; b = new double[0]; //placeholder + + if(args.length != 1){ + F04BAJE.usage(); + } + + System.out.println("F04BAJ Example Program Results"); + System.out.println(); + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[1]); + nrhs = Integer.parseInt(sVal[2]); + + lda = n; + ldb = n; + + a = new double[lda * n]; + b = new double[ldb * nrhs]; + + line = reader.readLine(); + for(int i = 0; i < lda; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < n; j++){ + a[i + (j * n)] = Double.parseDouble(sVal[j + 1]); + } + } + + line = reader.readLine(); + for(int i = 0; i < ldb; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < nrhs; j++){ + b[i + (j * n)] = Double.parseDouble(sVal[j + 1]); + } + } + + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = 1; + ipiv = new int[n]; + rcond = 0; + errbnd = 0; + F04BA f04ba = new F04BA(n, nrhs, a, lda, ipiv, b, ldb, rcond, errbnd, ifail); + f04ba.eval(); + + ifail = f04ba.getIFAIL(); + rcond = f04ba.getRCOND(); + errbnd = f04ba.getERRBND(); + ipiv = f04ba.getIPIV(); + a = f04ba.getA(); + b = f04ba.getB(); + + if(ifail == 0){ + //Print solution, estimate of condition number and approximate error bound. + ierr = 0; + X04CA x04ca = new X04CA("General", " ", n, nrhs, b, ldb, "Solution", ierr); + x04ca.eval(); + + System.out.println(); + System.out.println("Estimate of condition number"); + System.out.printf("%.1e\n", 1/rcond); + System.out.println(); + System.out.println("Esttimate of error bound for computed solutions"); + System.out.printf("%.1e\n", errbnd); + } + else if(ifail == (n + 1)){ + //Matrix A is numerically singular. Print estimate of reciprocal of condition number and solution. + System.out.println(); + System.out.println("Estimate of reciprocal of condition number"); + System.out.printf("%.1e\n", rcond); + System.out.println(); + + ierr = 0; + X04CA x04ca = new X04CA("General", " ", n, nrhs, b, ldb, "Solution", ierr); + x04ca.eval(); + } + else if(ifail > 0 && ifail <= n){ + //The upper triangular matrix U is exactly singular. Print details of factorization. + System.out.println(); + + ierr = 0; + X04CA x04ca = new X04CA("General", " ", n, n, a, lda, "Details of factorization", ierr); + x04ca.eval(); + + System.out.println(); + System.out.println("Pivot indices"); + for(int i = 0; i < n; i++){ + System.out.printf("%d ", ipiv[i]); + } + System.out.printf("\n"); + } + else{ + System.out.printf(" ** F04BAF returned with IFAIL = %d\n", ifail); + } + + } + + /** + * No arguments supplied when example runs + */ + private static void usage() { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} diff --git a/simple_examples/source/int32/F05AAJE.java b/simple_examples/source/int32/F05AAJE.java new file mode 100644 index 0000000..317c269 --- /dev/null +++ b/simple_examples/source/int32/F05AAJE.java @@ -0,0 +1,99 @@ +import com.nag.routines.F05.F05AA; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * F05AAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class F05AAJE{ + + /** + * F05AAJ example main program. + */ + public static void main(String[] args) { + //Should initialise values to avoid issues with try/catch + int icol = 0, ifail = 0, lda = 0, m = 0, n1 = 0, n2 = 0; + double cc = 0; + double[] a, s; + + //same as ints + a = new double[1]; + s = new double[1]; + System.out.println("F05AAJ Example Program Results"); + System.out.println(); + + //supply data + if(args.length != 1){ + F05AAJE.usage(); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+");; + m = Integer.parseInt(sVal[1]); + n1 = Integer.parseInt(sVal[2]); + n2 = Integer.parseInt(sVal[3]); + lda = m; + + a = new double[lda*n2]; + s = new double[n2]; + + //read in a from data + for(int i = 0; i < n2; i++){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < m; j++){ + a[i + (j * n2)] = Double.parseDouble(sVal[j]); + } + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + //create object then eval + F05AA f05aa = new F05AA(a, lda, m, n1, n2, s, cc, icol, ifail); + f05aa.eval(); + + //update values + n1 = f05aa.getN1(); + n2 = f05aa.getN2(); + cc = f05aa.getCC(); + icol = f05aa.getICOL(); + a = f05aa.getA(); + + System.out.printf("N1 = %d N2 = %d\n", n1, n2); + System.out.println(); + System.out.printf("CC = %.4f ICOL = %d\n", cc, icol); + System.out.println(); + System.out.println("Final Vectors"); + + for(int i = 0; i < n2; i++){ + for(int j = 1; j < m; j++){ + System.out.printf("%.4f ", a[i +(j * n2)]); + } + System.out.printf("\n"); + } + } + + /** + * Print usage information. + */ + private static void usage(){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} + diff --git a/simple_examples/source/int32/F06CLJE.java b/simple_examples/source/int32/F06CLJE.java new file mode 100644 index 0000000..ca2ac5e --- /dev/null +++ b/simple_examples/source/int32/F06CLJE.java @@ -0,0 +1,40 @@ +import com.nag.routines.F06.F06CL; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +/** + * F06CL example program text. + * @author ludovic + */ +public class F06CLJE { + + public static void main(String[] args) { + boolean fail = false; + NAGComplex z1 = new NAGComplex(); + NAGComplex z2 = new NAGComplex(); + NAGComplex z3 = new NAGComplex(); + + System.out.println(" F06CLJ Example Program Results"); + System.out.println(); + + Routine.complex = z1; + + z1.setRe(1.0); + z1.setIm(1.0); + z2.setRe(2.0); + z2.setIm(2.0); + + F06CL f06cl = new F06CL(z1,z2,fail); + z3 = (NAGComplex)f06cl.eval(); + fail = f06cl.getFAIL(); + + if (fail) { + System.err.println(" Something went wrong..."); + } + else { + System.out.println(" " + z1.toString() + "/"+ z2.toString() + " = " + z3.toString()); + } + + } + +} diff --git a/simple_examples/source/int32/F07AAJE.java b/simple_examples/source/int32/F07AAJE.java new file mode 100644 index 0000000..26eb5dc --- /dev/null +++ b/simple_examples/source/int32/F07AAJE.java @@ -0,0 +1,90 @@ +import com.nag.routines.F07.F07AA; +import com.nag.routines.X04.X04CA; +import java.util.Arrays; + +/** + * F07AA example program text. + * @author joed + */ +public class F07AAJE { + + public static void main(String[] args) { + + int i, ifail, info, lda, ldb, n; + double[] a, b; + int[] ipiv; + + System.out.println(" F07AAJ Example Program Results"); + System.out.println(); + + n = 4; + lda = n; + ldb = n; + + a = new double[n*n]; + b = new double[n]; + ipiv = new int[n]; + + a[0+0*n] = 1.80; + a[0+1*n] = 2.88; + a[0+2*n] = 2.05; + a[0+3*n] = -0.89; + a[1+0*n] = 5.25; + a[1+1*n] = -2.95; + a[1+2*n] = -0.95; + a[1+3*n] = -3.80; + a[2+0*n] = 1.58; + a[2+1*n] = -2.69; + a[2+2*n] = -2.90; + a[2+3*n] = -1.04; + a[3+0*n] = -1.11; + a[3+1*n] = -0.66; + a[3+2*n] = -0.59; + a[3+3*n] = 0.80; + + b[0] = 9.52; + b[1] = 24.35; + b[2] = 0.77; + b[3] = -6.22; + + /* Solve the equations Ax = b for x */ + + F07AA f07aa = new F07AA(); + info = 0; + f07aa.eval(n, 1, a, lda, ipiv, b, ldb, info); + info = f07aa.getINFO(); + + if (info == 0) { + + /* Print solution */ + + System.out.println(" Solution"); + for (i = 0; i < n; i++) { + System.out.printf(" %11.4f", b[i]); + } + System.out.printf("\n"); + + /* Print details of factorization */ + + System.out.println(); + X04CA x04ca = new X04CA(); + ifail = 0; + x04ca.eval("General", " ", n, n, a, lda, "Details of factorization", ifail); + + /* Print pivot indices */ + + System.out.println(); + System.out.println(" Pivot indices"); + for (i = 0; i < n; i++) { + System.out.printf(" %11d", ipiv[i]); + } + System.out.printf("\n"); + + } + else { + System.err.printf(" The (%3d,%3d) element of the factor U is zero\n", info, info); + } + + } + +} diff --git a/simple_examples/source/int32/F07ABJE.java b/simple_examples/source/int32/F07ABJE.java new file mode 100644 index 0000000..6362739 --- /dev/null +++ b/simple_examples/source/int32/F07ABJE.java @@ -0,0 +1,134 @@ +import com.nag.routines.F07.DGESVX; +import com.nag.routines.X04.X04CA; + +/** + * F07ABJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class F07ABJE{ + + /** + * F07ABJ example main program + */ + public static void main(String[] args){ + double rcond = 0; + int ifail, info = 0, lda, ldaf, ldb, ldx, n, nrhs; //placeholders + String equed; + double[] a, af, b, berr, c, ferr, r, work, x; + int[] ipiv, iwork; + + System.out.println("F07ABJ Example Program Results"); + System.out.println(); + + //Problem size + n = 4; + nrhs = 2; + lda = n; + ldaf = n; + ldb = n; + ldx = n; + + //Allocate + a = new double[lda * n]; + af = new double[ldaf * n]; + b = new double[ldb * nrhs]; + berr = new double[nrhs]; + c = new double[n]; + ferr = new double[nrhs]; + r = new double[n]; + work = new double[4 * n]; + x = new double[ldx * nrhs]; + ipiv = new int[n]; + iwork = new int[n]; + equed = " "; + + //Matrices A and B + a[0] = 1.8; + a[1] = 525; + a[2] = 1.58; + a[3] = -1.11; + a[4] = 2.88; + a[5] = -295; + a[6] = -2.69; + a[7] = -0.66; + a[8] = 2.05; + a[9] = -95; + a[10] = -2.9; + a[11] = -0.59; + a[12] = -0.89; + a[13] = -380; + a[14] = -1.04; + a[15] = 0.8; + b[0] = 9.52; + b[1] = 2435; + b[2] = 0.77; + b[3] = -6.22; + b[4] = 18.47; + b[5] = 225; + b[6] = -13.28; + b[7] = -6.21; + + //Solve the equations AX = B for X + //The NAG name equivalent of dgesvx is f07abf + DGESVX dgesvx = new DGESVX("Equilibration", "No Transpose", n, nrhs, a, lda, af, ldaf, ipiv, equed, r, + c, b, ldb, x, ldx, rcond, ferr, berr, work, iwork, info); + dgesvx.eval(); + + //Update + info = dgesvx.getINFO(); + equed = dgesvx.getEQUED(); + rcond = dgesvx.getRCOND(); + + if(info == 0 || info == n + 1){ + //Print solution, error bounds, condition number, the form of equilibration and the pivot growth factor + + //ifail: behaviour on error exit + // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft + ifail = 0; + X04CA x04ca = new X04CA("General", " ", n, nrhs, x, ldx, "Solution(s)", ifail); + x04ca.eval(); + + System.out.println(); + System.out.println("Backward errors (machine-dependent)"); + for(int i = 0; i < nrhs; i++){ + System.out.printf(" %.1e ", berr[i]); + } + System.out.println(); + System.out.println(); + System.out.println("Estimated forward error bounds (machine-dependent)"); + for(int i = 0; i < nrhs; i++){ + System.out.printf(" %.1e ", ferr[i]); + } + System.out.println(); + System.out.println(); + if(equed.equals("N")){ + System.out.println("A has not been equilibrated"); + } + else if(equed.equals("R")){ + System.out.println("A has been row scaled as diag(R)*A"); + } + else if(equed.equals("C")){ + System.out.println("A has been column scaled as A*diag(C)"); + } + else if(equed.equals("B")){ + System.out.println("A has been row and column scaled as diag(R)*A*diag(C)"); + } + System.out.println(); + System.out.println("Reciprocal condition number estimate of scaled matrix"); + System.out.printf(" %.1e\n", rcond); + System.out.println(); + System.out.println("Estimate of reciprocal pivot growth factor"); + System.out.printf(" %.1e\n", work[0]); + System.out.println(); + + if(info == n + 1){ + System.out.println(); + System.out.println("The matrix A is singular to working precision"); + } + } + else{ + System.out.println("The (" + info + ", " + info + ")" + " element of the factor U is zero"); + } + } +} diff --git a/simple_examples/source/int32/F07ADJE.java b/simple_examples/source/int32/F07ADJE.java new file mode 100644 index 0000000..4450683 --- /dev/null +++ b/simple_examples/source/int32/F07ADJE.java @@ -0,0 +1,72 @@ +import com.nag.routines.F07.DGETRF; +import com.nag.routines.X04.X04CA; + +/** + * F07ADJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class F07ADJE{ + + /** + * F07ADJ Example main program + */ + public static void main(String[] args){ + int ifail, info = 0, lda, m, n; + double[] a; + int[] ipiv; + + System.out.println("F07ADJ Example Program Results"); + System.out.println(); + + //Problem size (can be read from data file) + m = 4; + n = 4; + lda = m; + + //Data + ipiv = new int[n]; + a = new double[m * n]; + a[0] = 1.8; + a[1] = 5.25; + a[2] = 1.58; + a[3] = -1.11; + a[4] = 2.88; + a[5] = -2.95; + a[6] = -2.69; + a[7] = -0.66; + a[8] = 2.05; + a[9] = -0.95; + a[10] = -2.9; + a[11] = -0.59; + a[12] = -0.89; + a[13] = -3.8; + a[14] = -1.04; + a[15] = 0.8; + + //Factorize A + //The NAG name equivalent of dgetrf is F07ADF + DGETRF dgetrf = new DGETRF(m, n, a, lda, ipiv, info); + dgetrf.eval(); + + //Update + info = dgetrf.getINFO(); + + //ifail: behaviour on error exit + // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft + ifail = 0; + X04CA x04ca = new X04CA("General", " ", m, n, a, lda, "Details of factorization", ifail); + x04ca.eval(); + + //Print pivot indices + System.out.println("IPIV"); + for(int i = 0; i < Math.min(m, n); i++){ + System.out.printf("\t%d", ipiv[i]); + } + System.out.println(); + + if(info != 0){ + System.out.println("The factor U is singular"); + } + } +} diff --git a/simple_examples/source/int32/F07AQJE.java b/simple_examples/source/int32/F07AQJE.java new file mode 100644 index 0000000..5ee47e5 --- /dev/null +++ b/simple_examples/source/int32/F07AQJE.java @@ -0,0 +1,99 @@ +import com.nag.routines.F07.F07AQ; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; +import com.nag.types.NAGComplexF; + +/** + * F07AQ example program text. + * @author joed + * @since 27.1.0.0 + */ +public class F07AQJE { + + public static void main(String[] args) { + + F07AQ f07aq = new F07AQ(); + int info, iter, lda, ldb, ldx, n, r; + NAGComplex[] a, b, work, x; + NAGComplexF[] swork; + double[] rwork; + int[] ipiv; + + System.out.println(" F07AQJ Example Program Results"); + System.out.println(); + + // Set dimensions and instantiate arrays + n = 4; + r = 1; + lda = ldb = ldx = n; + a = new NAGComplex[lda*n]; + b = new NAGComplex[ldb*r]; + work = (NAGComplex[]) (new NAGComplex()).getArrayOfInstances(n*r); + x = (NAGComplex[]) (new NAGComplex()).getArrayOfInstances(ldx*r); + swork = (NAGComplexF[]) (new NAGComplexF()).getArrayOfInstances(n*(n+r)); + ipiv = new int[n]; + rwork = new double[n]; + + // Set A + a[0] = new NAGComplex(-1.34, 2.55); // Column 1 + a[1] = new NAGComplex(-0.17, -1.41); + a[2] = new NAGComplex(-3.29, -2.39); + a[3] = new NAGComplex(2.41, 0.39); + a[4] = new NAGComplex(0.28, 3.17); // Column 2 + a[5] = new NAGComplex(3.31, -0.15); + a[6] = new NAGComplex(-1.91, 4.42); + a[7] = new NAGComplex(-0.56, 1.47); + a[8] = new NAGComplex(-6.39, -2.20); // Column 3 + a[9] = new NAGComplex(-0.15, 1.34); + a[10] = new NAGComplex(-0.14, -1.35); + a[11] = new NAGComplex(-0.83, -0.69); + a[12] = new NAGComplex(0.72, -0.92); // Column 4 + a[13] = new NAGComplex(1.29, 1.38); + a[14] = new NAGComplex(1.72, 1.35); + a[15] = new NAGComplex(-1.96, 0.67); + + // Set B + b[0] = new NAGComplex(26.26,51.78); + b[1] = new NAGComplex( 6.43,-8.68); + b[2] = new NAGComplex(-5.75,25.31); + b[3] = new NAGComplex( 1.16, 2.57); + + // Notify wrappers of complex types + Routine.setComplex(new NAGComplex()); + Routine.setComplexF(new NAGComplexF()); + + // Solve the equations Ax = b for x + iter = info = 0; + f07aq.eval(n, r, a, lda, ipiv, b, ldb, x, ldx, work, swork, rwork, iter, info); + iter = f07aq.getITER(); + info = f07aq.getINFO(); + + if (info == 0) { + + // Print solution + + System.out.println(" Solution"); + for (int i = 0; i < n; i++) { + for (int j = 0; j < r; j++) { + System.out.printf(" (%7.4f,%7.4f)", x[j*n+i].getRe(), x[j*n+i].getIm()); + } + } + System.out.println(); + + // Print pivot indices + + System.out.println(); + System.out.println(" Pivot indices"); + for (int i = 0; i < n; i++) { + System.out.printf(" %11d", ipiv[i]); + } + System.out.println(); + + } + else { + System.out.printf(" The (%3d,%3d) element of the factor U is zero", info, iter); + } + + } + +} diff --git a/simple_examples/source/int32/F07FAJE.java b/simple_examples/source/int32/F07FAJE.java new file mode 100644 index 0000000..e516051 --- /dev/null +++ b/simple_examples/source/int32/F07FAJE.java @@ -0,0 +1,79 @@ +import com.nag.routines.F07.F07FA; +import com.nag.routines.X04.X04CA; + +/** + * F07FA example program text. + * @author saraht + */ +public class F07FAJE { + + public static void main(String[] args) { + + int i, ifail, info, lda, n; + double[] a, b; + + System.out.println(" F07FAJ Example Program Results"); + System.out.println(); + + n = 4; + lda = n; + + a = new double[n*n]; + b = new double[n]; + + /* A = 4.16 -3.12 0.56 -0.10 + 5.03 -0.83 1.18 + 0.76 0.34 + 1.18 */ + + a[0+0*n] = 4.16; + a[0+1*n] = -3.12; + a[0+2*n] = 0.56; + a[0+3*n] = -0.10; + + a[1+1*n] = 5.03; + a[1+2*n] = -0.83; + a[1+3*n] = 1.18; + + a[2+2*n] = 0.76; + a[2+3*n] = 0.34; + + a[3+3*n] = 1.18; + + b[0] = 8.70; + b[1] = -13.35; + b[2] = 1.89; + b[3] = -4.14; + + /* Solve the equations Ax = b for x */ + + F07FA f07fa = new F07FA(); + info = 0; + f07fa.eval("Upper", n, 1, a, lda, b, n, info); + info = f07fa.getINFO(); + + if (info == 0) { + + /* Print solution */ + + System.out.println(" Solution"); + for (i = 0; i < n; i++) { + System.out.printf(" %11.4f", b[i]); + } + System.out.printf("\n"); + + /* Print details of factorization */ + + System.out.println(); + X04CA x04ca = new X04CA(); + ifail = 0; + x04ca.eval("Upper", "Non-unit diagonal", n, n, a, lda, "Cholesky factor U", ifail); + + } + else { + System.err.printf(" The leading minor of order %d is not positive definite \n", info); + } + + } + +} diff --git a/simple_examples/source/int32/F07FBJE.java b/simple_examples/source/int32/F07FBJE.java new file mode 100644 index 0000000..09bbd37 --- /dev/null +++ b/simple_examples/source/int32/F07FBJE.java @@ -0,0 +1,122 @@ +import com.nag.routines.F07.F07FB; +import com.nag.routines.X04.X04CA; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * F07FB example program text. + * @author ludovic + */ +public class F07FBJE { + + public static void main(String[] args) { + String fact,uplo,equed; + int n, nrhs,lda,ldaf,ldb,ldx; + int[] iwork; + double rcond; + double[] a,af,s,b,x,ferr,berr,work; + int info,ifail; + lda = 4; + ldaf = lda; + ldb = lda; + ldx = lda; + nrhs = 2; + n = 4; + a = new double[lda*lda]; + af = new double[ldaf*ldaf]; + b = new double[ldb*nrhs]; + berr = new double[nrhs]; + ferr = new double[nrhs]; + s = new double[lda]; + work = new double[3*lda]; + x = new double[ldx*nrhs]; + iwork = new int[lda]; + info = 1; + rcond = Double.NaN; + fact = "E"; + uplo = "U"; + equed = "Z";//dummy value + /*A = 4.16 -3.12 0.56 -0.10 + 5.03 -0.83 1.18 + 0.76 0.34 + 1.18*/ + a[0] = 4.16; + + a[4] = -3.12; + a[5] = 5.03; + + a[8] = 0.56; + a[9] = -0.83; + a[10] = 0.76; + + a[12] = -0.10; + a[13] = 1.18; + a[14] = 0.34; + a[15] = 1.18; + + /*B= 8.70 8.30 + -13.35 2.13 + 1.89 1.61 + - 4.14 5.00*/ + b[0] = 8.70; + b[1] = -13.35; + b[2] = 1.89; + b[3] = -4.14; + + b[4] = 8.30; + b[5] = 2.13; + b[6] = 1.61; + b[7] = 5.00; + + System.out.println(" F07FBJ Example Program Results"); + System.out.println(); + + F07FB f07fb = new F07FB(fact, uplo, n, nrhs, a, lda, af, ldaf, equed, s, b, + ldb, x, ldx, rcond, ferr, berr, work, iwork, info); + f07fb.eval(); + fact = f07fb.getFACT(); + uplo = f07fb.getUPLO(); + equed = f07fb.getEQUED(); + rcond = f07fb.getRCOND(); + info = f07fb.getINFO(); + + + if ((info == 0) || (info == n+1)) { + ifail = 0; + (new X04CA()).eval("General"," ",n,nrhs,x,ldx,"Solution(s)",ifail); + System.out.println(); + System.out.println(" Backward errors (machine-dependent)"); + System.out.print(" "); + for (int ii = 0; ii < nrhs; ++ii) { + System.out.printf(" %11.1e",berr[ii]); + } + System.out.println("\n"); + System.out.println(" Estimated forward error bounds (machine-dependent)"); + System.out.print(" "); + for (int ii = 0; ii < nrhs; ++ii) { + System.out.printf(" %11.1e",ferr[ii]); + } + System.out.println("\n"); + System.out.println(" Estimate of reciprocal condition number"); + System.out.printf(" %11.1e\n",rcond); + System.out.println(); + if (equed.equalsIgnoreCase("N")) { + System.out.println(" A has not been equilibrated"); + } + else if (equed.equalsIgnoreCase("N")) { + System.out.println(" A has been row and column scaled as diag(S)*A*diag(S)"); + } + + if (info == n+1) { + System.out.println(); + System.out.println(" The matrix A is singular to working precision"); + } + + } + else { + System.out.printf(" The leading minor of order %3d is not positive definite\n"); + } + + } + +} diff --git a/simple_examples/source/int32/F08BTJE.java b/simple_examples/source/int32/F08BTJE.java new file mode 100644 index 0000000..43c219b --- /dev/null +++ b/simple_examples/source/int32/F08BTJE.java @@ -0,0 +1,228 @@ +import static java.lang.Math.*; + +import com.nag.routines.F06.F06JJ; +import com.nag.routines.F06.F06ZJ; +import com.nag.routines.F08.F08AU; +import com.nag.routines.F08.F08BT; +import com.nag.routines.Routine; +import com.nag.routines.X04.X04DB; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.regex.Matcher; +import java.util.regex.Pattern; + +/** + * F08BT example program text. + * @author ludovic + */ +public class F08BTJE { + + public static void main(String[] args) throws FileNotFoundException, IOException { + int incl = 1, nb = 64; + double tol; + int ifail, info = 0, k, lda, ldb, lwork, m, n, nrhs; + NAGComplex[] a, b, tau, work; + double[] rnorm, rwork; + int[] jpvt; + String[] clabs = new String[]{" "}, rlabs = new String[]{" "}; + + // Setup complex constants + NAGComplex one = new NAGComplex(); + NAGComplex zero = new NAGComplex(); + one.setRe(1.0); + one.setIm(0.0); + zero.setRe(0.0); + zero.setIm(0.0); + + // Inform the Routine class of the type of complex in use - can use any complex object + Routine.complex = one; + + System.out.println(" F08BTJ Example Program Results"); + System.out.println(); + + // Read values from data file + BufferedReader br = new BufferedReader(new FileReader(args[0])); + String line = br.readLine(); + line = br.readLine().trim(); + line = br.readLine().trim(); + String[] vals = line.split("\\s+"); + m = Integer.parseInt(vals[0].trim()); + n = Integer.parseInt(vals[1].trim()); + nrhs = Integer.parseInt(vals[2].trim()); + lda = ldb = m; + lwork = (n + 1) * nb; + a = new NAGComplex[lda * n]; + b = new NAGComplex[ldb * nrhs]; + tau = new NAGComplex[n]; + work = new NAGComplex[lwork]; + rnorm = new double[nrhs]; + rwork = new double[2 * n]; + jpvt = new int[n]; + + // Actually initialize the complex arrays + for (int i = 0; i < a.length; ++i) { + a[i] = new NAGComplex(); + } + for (int i = 0; i < b.length; ++i) { + b[i] = new NAGComplex(); + } + for (int i = 0; i < tau.length; ++i) { + tau[i] = new NAGComplex(); + } + for (int i = 0; i < work.length; ++i) { + work[i] = new NAGComplex(); + } + + /* Read A and B from data file */ + + readCompMatrix(br, a, lda, n); + readCompMatrix(br, b, ldb, nrhs); + br.close(); + + /* Initialize JPVT to be zero so that all columns are free */ + + for (int i = 0; i < n; ++i) { + jpvt[i] = 0; + } + + /* Compute the QR factorization of A */ + + F08BT f08bt = new F08BT(m, n, a, lda, jpvt, tau, work, lwork, rwork, info); + f08bt.eval(); + + /* Compute C = (C1) = (Q**H)*B, storing the result in B (C2) */ + + String side = "Left"; + String conjTrans = "Conjugate Transpose"; + F08AU f08au = new F08AU(side, conjTrans, m, nrhs, n, a, lda, tau, b, ldb, work, lwork, info); + f08au.eval(); + a = (NAGComplex[])f08au.getA(); + + /* Choose TOL to reflect the relative accuracy of the input data */ + + tol = 0.01; + + /* Determine and print the rank, K, or R relative to TOL */ + + for (k = 1; k < n + 1; ++k) { + if (abs(a[k - 1 + lda * (k - 1)]) <= tol * abs(a[0])) { + break; + } + } + k = k - 1; + + System.out.println(" Tolerance used to estimate the rank of A"); + System.out.printf(" %11.2E\n", tol); + System.out.println(" Estimated rank of A"); + System.out.printf(" %8d\n", k); + + /* Compute least squares solutions by back-substitution in R(1:K,1:K)*Y = C1 + * storing the result in B */ + + String upDown = "Upper"; + String trans = "No transpose"; + String unit = "Non-Unit"; + F06ZJ f06zj = new F06ZJ(side, upDown, trans, unit, k, nrhs, one, a, lda, b, ldb); + f06zj.eval(); + + /* Compute estimates of the square roots of the residual sums of squares + * (2-norm of each of the columns of C2) */ + + int mMinusK = m - k; + NAGComplex[] btmp = new NAGComplex[b.length]; + for (int i = 0; i < btmp.length; ++i) { + btmp[i] = new NAGComplex(); + } + System.arraycopy(b, k, btmp, 0, b.length - k); + + F06JJ f06jj = new F06JJ(mMinusK, btmp, incl); + rnorm[0] = f06jj.eval(mMinusK, btmp, incl); + System.arraycopy(btmp, 0, b, k, b.length - k); + for (int j = 1; j < nrhs; ++j) { + System.arraycopy(b, k + j * ldb, btmp, 0, b.length - k - j * ldb); + rnorm[j] = f06jj.eval(mMinusK, btmp, incl); + System.arraycopy(btmp,0, b, k + j * ldb, b.length - k - j * ldb); + } + + /* Set the remaining elements of the solutions to zero (to give the + * basic solutions) */ + + for (int i = k; i < n; ++i) { + for (int j = 0; j < nrhs; ++j) { + NAGComplex tmp = new NAGComplex(); + tmp.setRe(0.0); + tmp.setIm(0.0); + b[i + j * ldb] = tmp; + } + } + + /* Permute the least squares solution stored in B to give X = P*Y */ + + for (int j = 0; j < nrhs; j++) { + for (int i = 0; i < n; i++) { + work[jpvt[i] - 1] = b[j*ldb + i]; + } + for (int i = 0; i < n; i++) { + b[j*ldb + i] = work[i]; + } + } + + /* Print least squares solutions */ + + X04DB x04db = new X04DB(); + ifail = 0; + x04db.eval("General"," ",n,nrhs,b,ldb,"Bracketed","F7.4","Least squares solution(s)", + "Integer",rlabs,"Integer",clabs,80,0,ifail); + + /* Print the square roots of the residual sums of squares */ + + System.out.println(); + System.out.println(" Square root(s) of the residual sum(s) of squares"); + System.out.printf(" "); + for (int i = 0; i < nrhs; ++i) { + System.out.printf("%11.2E", rnorm[i]); + } + System.out.println(); + + } + + private static void readCompMatrix(BufferedReader br, NAGComplex[] mat, int row, + int col) throws IOException { + + // matches one complex number (without the brackets...) + String complexPat = "\\(([,0-9\\.\\-\\+\\s]*)\\)"; + String fullPattern = complexPat; + for (int i = 0; i < col -1; ++i) { + fullPattern = fullPattern + "\\s*" + complexPat; + } + fullPattern = fullPattern + ".*"; + Pattern comppat = Pattern.compile(fullPattern); + + for (int i = 0; i < row; ++i) { + String line = br.readLine().trim(); + if (line.equalsIgnoreCase("")) { + line = br.readLine().trim(); + } + Matcher m = comppat.matcher(line.trim()); + if (m.matches()) { + for (int j = 0; j < col; ++j) { + String[] numbers = m.group(j + 1).trim().split(","); + mat[i + j * row].setRe(Double.parseDouble(numbers[0].trim())); + mat[i + j * row].setIm(Double.parseDouble(numbers[1].trim())); + // System.out.print("mat["+i+","+j+"]=("+numbers[0].trim()+","+numbers[1].trim()+") "); + } + // System.out.println(); + } + + + } + } + + private static double abs(NAGComplex z) { + return sqrt(z.getRe() * z.getRe() + z.getIm() * z.getIm()); + } + +} diff --git a/simple_examples/source/int32/F08FAJE.java b/simple_examples/source/int32/F08FAJE.java new file mode 100644 index 0000000..028f854 --- /dev/null +++ b/simple_examples/source/int32/F08FAJE.java @@ -0,0 +1,113 @@ +import com.nag.routines.F08.DDISNA; +import com.nag.routines.F08.F08FA; +import com.nag.routines.F16.F16JQ; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X04.X04CA; +import java.util.Arrays; +import java.util.logging.Level; +import java.util.logging.Logger; + + +/** + * F08FA example program text. + * @author ludovic + */ +public class F08FAJE { + + public static void main(String[] args) { + int n = 4, LWork = n*64, lda = n; + double[] a, w, work,zerrbd,rcondz, colVector; + int info = 0, ifail = 0, k = 0; + a = new double[n * n]; + w = new double[n]; + work = new double[LWork]; + zerrbd = new double[n]; + rcondz = new double[n]; + colVector = new double[n]; + + System.out.println(" F08FAJ Example Program Results\n"); + + //array a : Stored in column major way + + a[0] = 1.0; + a[1] = 2.0; + a[2] = 3.0; + a[3] = 4.0; + + a[4] = 2.0; + a[5] = 2.0; + a[6] = 3.0; + a[7] = 4.0; + + a[8] = 3.0; + a[9] = 3.0; + a[10] = 3.0; + a[11] = 4.0; + + a[12] = 4.0; + a[13] = 4.0; + a[14] = 4.0; + a[15] = 4.0; + + //initializing the info parameter + info = 0; + w[0] = Double.NaN; + w[1] = Double.NaN; + w[2] = Double.NaN; + w[3] = Double.NaN; + F08FA f08fa = new F08FA("V", "U", n, a, n, w, work, LWork, info); + f08fa.eval(); + info = f08fa.getINFO(); + + if (info == 0) { + System.out.println(" Eigenvalues"); + System.out.print(" "); + for (int i = 0; i < n; ++i) { + System.out.printf(" %8.4f",w[i]); + } + System.out.println(); + + // Normalize the eigenvectors: largest element positive + F16JQ f16jq = new F16JQ(); // aka blas_damax_val + for (int i = 0; i < n; i++) { + System.arraycopy(a, 4*i, colVector, 0, 4); // Form vector to evaluate + f16jq.eval(n, colVector, 1, k, 0.0); // Get index of largest (absolute) value + k = f16jq.getK() - 1; // Make index zero based + + // Invert sign of column if largest element is negative + if (a[(4*i)+k] < 0) { + for (int j = 0; j < n; j++) { + a[(4*i)+j] = (-1) * a[(4*i)+j]; + } + } + + } + + (new X04CA()).eval("General"," ",n,n,a,lda,"Eigenvectors",ifail); + + double eps = (new X02AJ()).eval(); + double eerrbd = eps*Math.max(Math.abs(w[0]),Math.abs(w[n-1])); + + (new DDISNA()).eval("Eigenvectors",n,n,w,rcondz,info); + for (int i = 0; i < n; ++i) { + zerrbd[i] = eerrbd/rcondz[i]; + } + + System.out.println(); + System.out.println(" Error estimate for the eigenvalues"); + System.out.printf(" %11.1e\n",eerrbd); + System.out.println(); + System.out.println(" Error estimates for the eigenvectors"); + for (int i = 0; i < n; ++i) { + System.out.printf(" %11.1e",zerrbd[i]); + } + System.out.println(); + + } + else { + System.out.printf(" Failure in DSYEV. INFO =%4d",info); + } + + } + +} diff --git a/simple_examples/source/int32/F08XPJE.java b/simple_examples/source/int32/F08XPJE.java new file mode 100644 index 0000000..cc894d3 --- /dev/null +++ b/simple_examples/source/int32/F08XPJE.java @@ -0,0 +1,297 @@ +import com.nag.routines.F06.F06UA; +import com.nag.routines.F06.F06BN; +import com.nag.routines.F06.ZGEMM; +import com.nag.routines.F08.ZGGESX; +import com.nag.routines.M01.M01DA; +import com.nag.routines.M01.M01ED; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X04.X04DB; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * F08XPJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class F08XPJE{ + + public static boolean chkfac = false; + public static boolean prcond = false; + public static boolean prmat = false; + public static int nb = 64; + + /* + * F08XPJ Example main program + */ + public static void main(String[] args){ + NAGComplex alph, bet; + double abnorm, anorm, bnorm, eps, normd, norme, tol; + int ifail, info = 0, lda, ldb, ldc, ldd, lde, ldvsl, ldvsr, liwork, lwork, n, sdim = 0; + boolean factor; + NAGComplex[] a, alpha, b, beta, c, d, e, vsl, vsr, work, dummy; + double[] rconde, rcondv, rwork; + int[] idum, iwork; + boolean[] bwork; + String[] clabs, rlabs; + + //Placeholders + idum = new int[1]; + rconde = new double[2]; + rcondv = new double[2]; + dummy = NAGComplex.createArray(1); + + System.out.println("F08XPJ Example Program Results"); + System.out.println(); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + //Tell wrappers what time of complex type is going to be used + Routine.setComplex(new NAGComplex()); + + //n declared here for neater code but can be read in from data file + n = 4; + lda = n; + ldb = n; + ldc = n; + ldd = n; + lde = n; + ldvsl = n; + ldvsr = n; + + //Allocate + a = NAGComplex.createArray(lda * n); + alpha = NAGComplex.createArray(n); + b = NAGComplex.createArray(ldb * n); + beta = NAGComplex.createArray(n); + c = NAGComplex.createArray(ldc * n); + d = NAGComplex.createArray(ldd * n); + e = NAGComplex.createArray(lde * n); + vsl = NAGComplex.createArray(ldvsl * n); + vsr = NAGComplex.createArray(ldvsr * n); + rwork = new double[8 * n]; + bwork = new boolean[n]; + clabs = new String[1]; + clabs[0] = " "; + rlabs = new String[1]; + rlabs[0] = " "; + + //Use routine workspace query to get optimal workspace + lwork = -1; + liwork = -1; + //The NAG name equivalent of zggesx is f08xpf + selctg selctg1 = new selctg(); + ZGGESX zggesx = new ZGGESX("Vectors (left)", "Vectors (right)", "Sort", selctg1, "Both reciprocal condition numbers", + n, a, lda, b, ldb, sdim, alpha, beta, vsl, ldvsl, vsr, ldvsr, rconde, rcondv, dummy, lwork, + rwork, idum, liwork, bwork, info); + zggesx.eval(); + + //Make sure that there is a enough workspace for block size nb + lwork = Math.max((n * nb) + (n * n/2), (int) Math.rint(dummy[0].getRe())); + liwork = Math.max(n + 2, idum[0]); + work = NAGComplex.createArray(lwork); + iwork = new int[liwork]; + + //Read in matrices A and B + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); // skip header + line = reader.readLine(); //skip n (set manually for neater code) + String[] sVal; + + for(int i = 0; i < 2; i++){ + for(int j = 0; j < n; j++){ + line = reader.readLine(); + sVal = line.split("\\)"); + for(int k = 0; k < n; k++){ + if(i == 0){ + a[(k * n) + j] = parseComplex(sVal[k]); + } + else{ + b[(k * n) + j] = parseComplex(sVal[k]); + } + } + } + } + + } + catch(FileNotFoundException err){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException err){ + System.err.println("***FATAL: Can't read " + filename + "\n" + err.getMessage()); + } + + if(chkfac){ + for(int i = 0; i < a.length; i++){ + //Copy A and B into D and E respectively + d[i] = a[i]; + e[i] = b[i]; + } + } + + //Find the Forbenius norms of A and B + //The NAG name equivalent of the LAPACK auxiliary zlange is f06uaf + F06UA f06ua = new F06UA(); + anorm = f06ua.eval("Frobenius", n, n, a, lda, rwork); + bnorm = f06ua.eval("Frobenius", n, n, b, ldb, rwork); + + if(prmat){ + //Print matrices A and B + //ifail : behaviour on error exit + // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft + ifail = 0; + X04DB x04db = new X04DB("General", " ", n, n, a, lda, "Bracketed", "F8.4", "Matrix A", "Integer", + rlabs, "Integer", clabs, 80, 0, ifail); + x04db.eval(); + System.out.println(); + + ifail = 0; + x04db = new X04DB("General", " ", n, n, b, ldb, "Bracketed", "F8.4", "Matrix B", "Integer", + rlabs, "Integer", clabs, 80, 0, ifail); + x04db.eval(); + System.out.println(); + } + + factor = true; + //Find the generalized Schur form + //The NAG name equivalent of zggesx is f08xpf + zggesx = new ZGGESX("Vectors (left)", "Vectors (right)", "Sort", selctg1, "Both reciprocal condition numbers", + n, a, lda, b, ldb, sdim, alpha, beta, vsl, ldvsl, vsr, ldvsr, rconde, rcondv, work, lwork, + rwork, iwork, liwork, bwork, info); + zggesx.eval(); + + //update + sdim = zggesx.getSDIM(); + + if(info != 0 && info != (n + 2)){ + System.out.printf("Failure in ZGGESX. INFO = %d\n", info); + factor = false; + } + else if(chkfac){ + //Compute A - Q*S*Z^H from the factorization of (A,B) and store in matrix D + //The NAG name equivalent of zgemm is f06zaf + alph = new NAGComplex(1, 0); + bet = new NAGComplex(0, 0); + ZGEMM zgemm = new ZGEMM("N", "N", n, n, n, alph, vsl, ldvsl, a, lda, bet, c, ldc); + zgemm.eval(); + + alph = new NAGComplex(-1, 0); + bet = new NAGComplex(1, 0); + zgemm = new ZGEMM("N", "C", n, n, n, alph, c, ldc, vsr, ldvsr, bet, d, ldd); + zgemm.eval(); + + //Compute B - Q*T*Z^H from the factorization of (A,B) and store in matrix E + alph = new NAGComplex(1, 0); + bet = new NAGComplex(0, 0); + zgemm = new ZGEMM("N", "N", n, n, n, alph, vsl, ldvsl, b, ldb, bet, c, ldc); + zgemm.eval(); + + alph = new NAGComplex(-1, 0); + bet = new NAGComplex(1, 0); + zgemm = new ZGEMM("N", "C", n, n, n, alph, c, ldc, vsr, ldvsr, bet, e, lde); + zgemm.eval(); + + //Find norms of matrices D and E and warn if either is too large + f06ua = new F06UA("0", ldd, n, d, ldd, rwork); + normd = f06ua.eval(); + X02AJ x02aj = new X02AJ(); + if(normd > Math.pow(x02aj.eval(), 0.75)){ + System.out.println("Norm of A-(Q*S*Z^T) is much greater than 0."); + factor = false; + System.out.println("Schur factorization has failed"); + } + f06ua = new F06UA("0", lde, n, e, lde, rwork); + norme = f06ua.eval(); + if(norme > Math.pow(x02aj.eval(), 0.75)){ + System.out.println("Norm of B-(Q*T*Z^T is much greater than 0."); + factor = false; + } + } + + if(factor){ + //Print eigenvalue details + System.out.printf("Number of eigenvalues for which SELCTG is true = %d\n", sdim); + System.out.println("(dimension of deflating subspaces)"); + + System.out.println(); + //Print selected (finite) generalized eigenvalues + System.out.println("Selected generalized eigenvalues"); + + //Store absolute values of eigenvalues for ranking + for(int i = 0; i < n; i++){ + work[i] = alpha[i].divide(beta[i]); + rwork[i] = NAGComplex.abs(work[i]); + } + + //Rank eigenvalues + ifail = 0; + M01DA m01da = new M01DA(rwork, 1, sdim, "Descending", iwork, ifail); + m01da.eval(); + + //Sort eigevalues in work + M01ED m01ed = new M01ED(work, 1, sdim, iwork, ifail); + m01ed.eval(); + for(int i = 0; i < sdim; i++){ + System.out.printf(" %d\t(%.2f, %.2f)\n", i + 1, work[i].getRe(), work[i].getIm()); + } + + if(info == n + 2){ + System.out.println("*** note that rounding errors mean that leading eigenvalues in"); + System.out.println("the generalized Schur form no longer satisfy SELCTG = TRUE"); + System.out.println(); + } + + if(prcond){ + //Compute the machine precision and sqrt(anorm^2 + bnorm^2) + X02AJ x02aj = new X02AJ(); + eps = x02aj.eval(); + F06BN f06bn = new F06BN(anorm, bnorm); + abnorm = f06bn.eval(); + tol = eps * abnorm; + + //Print out the reciprocal condition numbers and error bound for selected eigenvalues + System.out.println("Reciprocal condition numbers for the average of the selected"); + System.out.println("eigenvalues and their asymptotic error bound"); + System.out.printf("rcond-left = %.1e, rcond-right = %.1e, error = %.1e\n", rcondv[0], rcondv[1], tol/rcondv[1]); + } + } + else{ + System.out.println("Schur factorization has failed"); + } + + } + + /** + * Converts String read in from data file to NAGComplex value. + * @param s + * Complex number string + * @return new NAGComplex representing s + */ + public static NAGComplex parseComplex(String s){ + s = s.trim(); + double re = Double.parseDouble(s.substring(1, 7)); + double im = Double.parseDouble(s.substring(8)); + return new NAGComplex(re, im); + } + + /** + * Class representing function selctg implementing ZGGESX_SELCTG to pass to ZGGESX. + */ + public static class selctg extends ZGGESX.Abstract_ZGGESX_SELCTG{ + public boolean eval(){ + return (NAGComplex.abs((NAGComplex)this.A) < (6 * NAGComplex.abs((NAGComplex)this.B))); + } + } + +} diff --git a/simple_examples/source/int32/G01ALJE.java b/simple_examples/source/int32/G01ALJE.java new file mode 100644 index 0000000..672a151 --- /dev/null +++ b/simple_examples/source/int32/G01ALJE.java @@ -0,0 +1,55 @@ +import com.nag.routines.G01.G01AL; + +/** + * G01ALJ Example Program Text + * @author willa + * @since 27.1.0.0 + */ +public class G01ALJE{ + + /** + * G01ALJ Example main program + */ + public static void main(String[] args){ + int ifail, n; + double[] x, res; + int[] iwrk; + + res = new double[5]; + + System.out.println("G01ALJ Example Program Results"); + System.out.println(); + + //Problem size + n = 12; + + //Allocate + x = new double[n]; + iwrk = new int[n]; + + //Data + x[0] = 12; + x[1] = 9; + x[2] = 2; + x[3] = 5; + x[4] = 6; + x[5] = 8; + x[6] = 2; + x[7] = 7; + x[8] = 3; + x[9] = 1; + x[10] = 11; + x[11] = 10; + + //Calculate summary statistics + ifail = 0; + G01AL g01al = new G01AL(n, x, iwrk, res, ifail); + g01al.eval(); + + System.out.printf("Maximum %.4f\n", res[4]); + System.out.printf("Upper Hinge (75%% quantile) %.4f\n", res[3]); + System.out.printf("Median (50%% quantile) %.4f\n", res[2]); + System.out.printf("Lower Hinge (25%% quantile) %.4f\n", res[1]); + System.out.printf("Minimum %.4f\n", res[0]); + } +} diff --git a/simple_examples/source/int32/G02AKJE.java b/simple_examples/source/int32/G02AKJE.java new file mode 100644 index 0000000..8ddaff2 --- /dev/null +++ b/simple_examples/source/int32/G02AKJE.java @@ -0,0 +1,68 @@ +import com.nag.routines.G02.G02AK; +import com.nag.routines.X04.X04CA; + +/** + * G02AK example program text. + * @author joed + * @since 27.0.0.0 + */ +public class G02AKJE { + + /** + * G02AKJ example main program. + */ + public static void main(String[] args) { + + G02AK g02ak = new G02AK(); + X04CA x04ca = new X04CA(); + double errtol, f, rankerr, ranktol; + int i, ifail, ldg, ldx, maxit, maxits, n, nsub, rank; + double[] g, x; + + System.out.println("G02AKJ Example Program Results\n"); + + // Problem size + n = 4; + ldg = n; + ldx = n; + + // Rank constraint + rank = 2; + + // Matrix G (column-major) + g = new double[]{ + 2.0, -1.0, 0.0, 0.0, + -1.0, 2.0, -1.0, 0.0, + 0.0, -1.0, 2.0, -1.0, + 0.0, 0.0, -1.0, 2.0 + }; + + // Use the defaults for errtol, ranktol, maxits, maxit + errtol = 0.0; + ranktol = 0.0; + maxits = 0; + maxit = 0; + + // Calculate rank constrained nearest correlation matrix + ifail = 0; + x = new double[ldx*n]; + f = 0.0; + rankerr = 0.0; + nsub = 0; + g02ak.eval(g, ldg, n, rank, errtol, ranktol, maxits, maxit, x, ldx, f, + rankerr, nsub, ifail); + nsub = g02ak.getNSUB(); + f = g02ak.getF(); + rankerr = g02ak.getRANKERR(); + + // Display results + ifail = 0; + x04ca.eval("General", " ", n, n, x, ldx, "NCM with rank constraint", ifail); + System.out.println(); + System.out.printf("Number of subproblems solved: %12d\n\n", nsub); + System.out.printf("Squared Frobenius norm of difference: %9.4f\n\n", f); + System.out.printf("Rank error: %35.4f\n", rankerr); + + } + +} diff --git a/simple_examples/source/int32/G02BJJE.java b/simple_examples/source/int32/G02BJJE.java new file mode 100644 index 0000000..3de843e --- /dev/null +++ b/simple_examples/source/int32/G02BJJE.java @@ -0,0 +1,303 @@ +import com.nag.routines.G02.G02BJ; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * G02BJ example program text. + * @author ludovic + */ +public class G02BJJE { + + public static void main(String[] args) { + int i, ifail, ldcnt, ldr, ldssp, ldx, ncases = 0; //, m = 0, n = 0, nvars = 0; + double[] cnt, r, ssp, std, xbar;//, xmiss; + + if (args.length != 1) { + G02BJJE.usage(); + } + + String dataFile = args[0]; + DataHolder data = new DataHolder(); + readDataFile(dataFile, data); + System.out.println(" G02BJJ Example Program Results"); + System.out.println(); + + ldcnt = ldr = ldssp = data.nvars; + ldx = data.n; + cnt = new double[ldcnt * data.nvars]; + r = new double[ldr * data.nvars]; + ssp = new double[ldssp * data.nvars]; + std = new double[data.nvars]; + xbar = new double[data.nvars]; + + + //Display the data + + System.out.printf(" Number of variables (columns) = %5d\n", data.m); + System.out.printf(" Number of cases (rows) = %5d\n", data.n); + System.out.println(); + System.out.println(" Data matrix is:-"); + for (int ii = 0; ii < data.m; ++ii) { + System.out.printf(" %12d",ii+1); + } + System.out.println(); + for (int ii = 0; ii < data.n; ++ii) { + System.out.printf(" %3d ",ii+1); + for (int jj = 0; jj < data.m; ++jj) { + System.out.printf("%12.4f ",data.x[ii + jj * data.n]); + } + System.out.println(); + } + + ifail = 0; + G02BJ g02bj = new G02BJ(data.n, data.m, data.x, ldx, data.miss, data.xmiss, + data.nvars, data.kvar, xbar, std, ssp, ldssp, r, ldr, ncases, cnt, + ldcnt, ifail); + g02bj.eval(); + + data.n = g02bj.getN(); + data.m = g02bj.getM(); + data.x = g02bj.getX(); + ldx = g02bj.getLDX(); + data.miss = g02bj.getMISS(); + data.xmiss = g02bj.getXMISS(); + data.nvars = g02bj.getNVARS(); + data.kvar = g02bj.getKVAR(); + xbar = g02bj.getXBAR(); + std = g02bj.getSTD(); + ssp = g02bj.getSSP(); + ldssp = g02bj.getLDSSP(); + r = g02bj.getR(); + ldr = g02bj.getLDR(); + ncases = g02bj.getNCASES(); + cnt = g02bj.getCNT(); + ldcnt = g02bj.getLDCNT(); + ifail = g02bj.getIFAIL(); + + //Display results + System.out.println(); + System.out.println(" Variable\tMean\tSt.dev."); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %5d %11.4f %11.4f\n",data.kvar[ii], xbar[ii], std[ii]); + } + System.out.println(); + System.out.println(" Sums of squares and cross-products of deviations"); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %12d",data.kvar[ii]); + } + System.out.println(); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %3d",data.kvar[ii]); + for (int jj = 0; jj < data.nvars; ++jj) { + System.out.printf(" %12.4f",ssp[ii + ldssp * jj]); + } + System.out.println(); + } + System.out.println(); + System.out.println(" Correlation coefficients"); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %12d",data.kvar[ii]); + } + System.out.println(); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %3d",data.kvar[ii]); + for (int jj = 0; jj < data.nvars; ++jj) { + System.out.printf(" %12.4f",r[ii + ldr * jj]); + } + System.out.println(); + } + System.out.println(); + System.out.printf(" Minimum number of cases used for any pair of variables: %5d\n", ncases); + System.out.println(); + System.out.println(" Numbers used for each pair are:"); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %12d",data.kvar[ii]); + } + System.out.println(); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %3d",data.kvar[ii]); + for (int jj = 0; jj < data.nvars; ++jj) { + System.out.printf(" %12.4f",cnt[ii + ldcnt * jj]); + } + System.out.println(); + } + System.out.println(); + } + + private static void usage() { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + /** + G02BJF Example Program Data + 5 4 3 :: N, M, NVARS + 3.0 3.0 1.0 2.0 + 6.0 4.0 -1.0 4.0 + 9.0 0.0 5.0 9.0 + 12.0 2.0 0.0 0.0 + -1.0 5.0 4.0 12.0 :: End of X + 1 1 0 1 :: MISS + -1.0 0.0 0.0 0.0 :: XMISS + 4 1 2 :: KVAR + */ + private static void readDataFile(String filename, DataHolder data) { + try { + BufferedReader br = new BufferedReader(new FileReader(filename)); + String line = br.readLine(); // skip header + line = br.readLine(); + String[] sVal = line.split("\\s+"); + data.setN(Integer.parseInt(sVal[0])); + data.setM(Integer.parseInt(sVal[1])); + data.setNvars(Integer.parseInt(sVal[2])); + + data.x = new double[data.n * data.m]; + data.miss = new int[data.m]; + data.xmiss = new double[data.m]; + data.kvar = new int[data.nvars]; + + for (int i = 0; i < data.n; ++i) { + line = br.readLine().trim(); + sVal = line.split("\\s+"); + for (int j = 0; j < data.m; ++j) { + data.x[i + j * data.n] = Double.parseDouble(sVal[j]); + } + } + line = br.readLine().trim(); + sVal = line.split("\\s+"); + for (int j = 0; j < data.m; ++j) { + data.miss[j] = Integer.parseInt(sVal[j]); + } + line = br.readLine().trim(); + sVal = line.split("\\s+"); + for (int j = 0; j < data.m; ++j) { + data.xmiss[j] = Double.parseDouble(sVal[j]); + } + + line = br.readLine().trim(); + sVal = line.split("\\s+"); + for (int j = 0; j < data.nvars; ++j) { + data.kvar[j] = Integer.parseInt(sVal[j]); + } + } + catch (FileNotFoundException ex) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch (IOException ex) { + System.err.println("***FATAL: Can't Read " + filename + "\n" + ex.getMessage()); + System.exit(-3); + } + + } + + private static class DataHolder { + private int n; + private int m; + private int nvars; + private double[] x; + private int[] miss; + private double[] xmiss; + private int[] kvar; + + /** + * @return the n + */ + public int getN() { + return n; + } + + /** + * @param n the n to set + */ + public void setN(int n) { + this.n = n; + } + + /** + * @return the m + */ + public int getM() { + return m; + } + + /** + * @param m the m to set + */ + public void setM(int m) { + this.m = m; + } + + /** + * @return the nvars + */ + public int getNvars() { + return nvars; + } + + /** + * @param nvars the nvars to set + */ + public void setNvars(int nvars) { + this.nvars = nvars; + } + + /** + * @return the x + */ + public double[] getX() { + return x; + } + + /** + * @param x the x to set + */ + public void setX(double[] x) { + this.x = x; + } + + /** + * @return the miss + */ + public int[] getMiss() { + return miss; + } + + /** + * @param miss the miss to set + */ + public void setMiss(int[] miss) { + this.miss = miss; + } + + /** + * @return the xmiss + */ + public double[] getXmiss() { + return xmiss; + } + + /** + * @param xmiss the xmiss to set + */ + public void setXmiss(double[] xmiss) { + this.xmiss = xmiss; + } + + /** + * @return the kvar + */ + public int[] getKvar() { + return kvar; + } + + /** + * @param kvar the kvar to set + */ + public void setKvar(int[] kvar) { + this.kvar = kvar; + } + } +} diff --git a/simple_examples/source/int32/G02BRJE.java b/simple_examples/source/int32/G02BRJE.java new file mode 100644 index 0000000..084f478 --- /dev/null +++ b/simple_examples/source/int32/G02BRJE.java @@ -0,0 +1,134 @@ +import com.nag.routines.G02.G02BR; + +/** + * G02BRJ Example Program Text + * @author willa + * @since 27.1.0.0 + */ +public class G02BRJE{ + + /** + * G02BRJ Example main program + */ + public static void main(String[] args){ + int ifail, itype, ldrr, ldx, m, n, ncases = 0; //placeholder + double[] rr, work1, work2, x, xmiss; + int[] incase, kworka, kworkb, kworkc, miss; + + System.out.println("G02BRJ Example Program Results"); + System.out.println(); + + //Problem size + n = 9; + m = 3; + itype = 0; + + ldrr = m; + ldx = n; + + //Allocate + rr = new double[ldrr * m]; + work1 = new double[n]; + work2 = new double[n]; + x = new double[ldx * m]; + xmiss = new double[m]; + incase = new int[n]; + kworka = new int[n]; + kworkb = new int[n]; + kworkc = new int[n]; + miss = new int[m]; + + //Data + //X = (1.70, 1.00, 0.50) + // (2.80, 4.00, 3.00) + // (0.60, 6.00, 2.50) + // (1.80, 9.00, 6.00) + // (0.99, 4.00, 2.50) + // (1.40, 2.00, 5.50) + // (1.80, 9.00, 7.50) + // (2.50, 7.00, 0.00) + // (0.99, 5.00, 3.00) + x[0] = 1.7; + x[1] = 2.8; + x[2] = 0.6; + x[3] = 1.8; + x[4] = 0.99; + x[5] = 1.4; + x[6] = 1.8; + x[7] = 2.5; + x[8] = 0.99; + x[9] = 1; + x[10] = 4; + x[11] = 6; + x[12] = 9; + x[13] = 4; + x[14] = 2; + x[15] = 9; + x[16] = 7; + x[17] = 5; + x[18] = 0.5; + x[19] = 3; + x[20] = 2.5; + x[21] = 6; + x[22] = 2.5; + x[23] = 5.5; + x[24] = 7.5; + x[25] = 0; + x[26] = 3; + + //Missing value flags + miss[0] = 1; + miss[1] = 0; + miss[2] = 1; + xmiss[0] = 0.99; + xmiss[1] = 0; + xmiss[2] = 0; + + //Display data + System.out.printf("Number of variables (columns) = %d\n", m); + System.out.printf("Number of case (rows) = %d\n", n); + System.out.println(); + System.out.println("Data matrix is:-\n"); + System.out.println(); + for(int i = 0; i < m; i++){ + System.out.printf("\t %d", i + 1); + } + System.out.println(); + for(int i = 0; i < n; i++){ + System.out.printf(" %d\t", i + 1); + for(int j = 0; j < m; j++){ + System.out.printf("%.4f\t", x[(j * n) + i]); + } + System.out.println(); + } + System.out.println(); + + //Calculate correlation coefficients + ifail = 0; + G02BR g02br = new G02BR(n, m, x, ldx, miss, xmiss, itype, rr, ldrr, ncases, incase, kworka, kworkb, kworkc, + work1, work2, ifail); + g02br.eval(); + + //Update + ncases = g02br.getNCASES(); + + //Display results + System.out.println("Matrix of rank correlation coefficients:"); + System.out.println("Upper triangle -- Spearman's"); + System.out.println("Lower triangle -- Kendall's tau"); + System.out.println(); + for(int i = 0; i < m; i++){ + System.out.printf("\t %d", i + 1); + } + System.out.println(); + for(int i = 0; i < m; i++){ + System.out.printf(" %d\t", i + 1); + for(int j = 0; j < m; j++){ + System.out.printf("%.4f\t", rr[(j * m) + i]); + } + System.out.println(); + } + System.out.println(); + System.out.printf("Number of cases actually used: %d\n", ncases); + } +} diff --git a/simple_examples/source/int32/G02DAJE.java b/simple_examples/source/int32/G02DAJE.java new file mode 100644 index 0000000..c390197 --- /dev/null +++ b/simple_examples/source/int32/G02DAJE.java @@ -0,0 +1,187 @@ +import com.nag.routines.G02.G02BU; +import com.nag.routines.G02.G02DA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * G02DAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class G02DAJE{ + + /** + * G02DAJ Example main program + */ + public static void main(String[] args){ + double aic, arsq, en, mult, rsq, rss = 0, sw = 0, tol; + int idf = 0, ifail, ip, irank = 0, ldq, ldx, lwt, m, n; + boolean svd = false; + String mean, weight; + double[] b, cov, h, p, q, res, se, wk, wt, x, y, c, wmean; + int[] isx; + + System.out.println("G02DAJ Example Program Results"); + System.out.println(); + + c = new double[1]; + wmean = new double[1]; + + //Problem size (can be read in from data file + n = 12; + m = 4; + weight = "U"; + mean = "M"; + + if(weight.toLowerCase().equals("w")){ + lwt = n; + } + else{ + lwt = 0; + } + ldx = n; + + x = new double[ldx * m]; + y = new double[n]; + wt = new double[n]; + isx = new int[m]; + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + line = reader.readLine(); //skip n, m, weight, mean + + //Read in data + String[] sVal; + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < m; j++){ + x[(j * n) + i] = Double.parseDouble(sVal[j]); + } + y[i] = Double.parseDouble(sVal[m]); + if(lwt > 0){ + wt[i] = Double.parseDouble(sVal[m + 1]); + } + } + + //Read in variable inclusion flags + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int i = 0; i < m; i++){ + isx[i] = Integer.parseInt(sVal[i]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + System.exit(-2); + } + + //Calcluate IP + ip = 0; + for(int i = 0; i < m; i++){ + if(isx[i] == 1){ + ip++; + } + } + if(mean.toLowerCase().equals("m")){ + ip = ip + 1; + } + + //Allocate + ldq = n; + b = new double[ip]; + cov = new double[((ip * ip) + ip)/2]; + h = new double[n]; + p = new double[ip * ip * (ip + 2)]; + q = new double[ldq * (ip + 1)]; + res = new double[n]; + se = new double[ip]; + wk = new double[ip * ip + (5 * (ip - 1))]; + + //Use suggested value for tolerance + tol = 0.000001; + + //fit general linear regression model + ifail = -1; + G02DA g02da = new G02DA(mean, weight, n, x, ldx, m, isx, ip, y, wt, rss, idf, b, se, cov, res, h, q, + ldq, svd, irank, p, tol, wk, ifail); + g02da.eval(); + ifail = g02da.getIFAIL(); + if(ifail != 0){ + if(ifail != 5){ + System.exit(-3); + } + } + + //Calculate (weighted) total sums of squares, adjusted for mean if required + //If in G02DAF, an intercept is added to the regression by including a comlumn of + //1's in X, rather than by using the MEAN argument then MEAN = "M" should be used + //in this call to G02BUF + ifail = 0; + G02BU g02bu = new G02BU(mean, weight, n, 1, y, n, wt, sw, wmean, c, ifail); + g02bu.eval(); + + idf = g02da.getIDF(); + irank = g02da.getIRANK(); + //Get effective number of observations (=N if there are no zero weights) + en = (double) idf + irank; + + rss = g02da.getRSS(); + //Calculate R-squared, corrected R-Squared and AIC + rsq = 1 - rss/c[0]; + if(mean.toLowerCase().equals("m")){ + mult = (en - 1) / (en - irank); + } + else{ + mult = en / (en - irank); + } + arsq = 1 - mult * (1 - rsq); + aic = en * Math.log(rss/en) + (2 * irank); + + svd = g02da.getSVD(); + //Disply results + if(svd){ + System.out.printf("Model not of full rank, rank = %d", irank); + System.out.println(); + } + System.out.printf("Residual sum of squares = %.4e\n", rss); + System.out.printf("Degrees of freedom = %d\n", idf); + System.out.printf("R-squared = %.4e\n", rsq); + System.out.printf("Adjusted R-squared = %.4e\n", arsq); + System.out.printf("AIC = %.4e\n", aic); + System.out.println(); + System.out.printf("Variable\tParameter estimate\tStandard error\n"); + System.out.println(); + if(ifail == 0){ + for(int i = 0; i < ip; i++){ + System.out.printf(" %d\t\t %.4e\t\t %.4e\n", (i + 1), b[i], se[i]); + } + } + else{ + for(int i = 0; i < ip; i++){ + System.out.printf(" %d\t\t %.4e\n", (i + 1), b[i]); + } + } + System.out.println(); + System.out.printf(" Obs\t\t Residuals\t\t H\n"); + System.out.println(); + for(int i = 0; i < n; i++){ + System.out.printf(" %d\t\t %.4e\t\t %.4e\n", (i + 1), res[i], h[i]); + } + + } +} diff --git a/simple_examples/source/int32/G02EEJE.java b/simple_examples/source/int32/G02EEJE.java new file mode 100644 index 0000000..5856fde --- /dev/null +++ b/simple_examples/source/int32/G02EEJE.java @@ -0,0 +1,184 @@ +import com.nag.routines.G02.G02EE; +import java.io.*; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * G02EE example program text. + */ +public class G02EEJE { + + public static void main(String[] args) throws Exception { + int vnlen = 3; + double chrss, f, fin, rss; + rss = chrss = f = Double.NaN; + int idf = 0, ifail = 0, ifr = 0, istep = 0, ldq, ldx, lwt, m, maxip, n, nterm = 0; + boolean addvar = false; + String mean, weight, newvar; + newvar = " "; + double[] exss, p, q, wk, wt, x, y; + int[] isx; + String[] free, model, vname; + + System.out.println(" G02EEJ Example Program Results\n"); + + BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); + + String line = dataIn.readLine(); + + String[] data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); + + n = Integer.parseInt(data[0]); + m = Integer.parseInt(data[1]); + mean = data[2].substring(1,2); + weight = data[3].substring(1,2); + fin = Double.parseDouble(data[4]); + + if (weight.equalsIgnoreCase("W")) { + lwt = n; + } + else { + lwt = 0; + } + ldx = n; + + x = new double[ldx*m]; + y = new double[n]; + wt = new double[lwt]; + isx = new int[m]; + vname = new String[m]; + + for (int i = 0; i < vname.length;++i) { + StringBuilder tmp = new StringBuilder(); + for (int j = 0; j < vnlen; ++j) { + tmp.append(" "); + } + vname[i] = tmp.toString(); + } + + if (lwt > 0) { + for (int i = 0; i < n; ++i) { + data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); + for (int j = 0; j < m; ++j) { + x[i+j*ldx] = Double.parseDouble(data[j]); + } + y[i] = Double.parseDouble(data[m]); + wt[i] = Double.parseDouble(data[m+1]); + } + } + else { + for (int i = 0; i < n; ++i) { + data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); + for (int j = 0; j < m; ++j) { + x[i+j*ldx] = Double.parseDouble(data[j]); + } + y[i] = Double.parseDouble(data[m]); + } + } + data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); + for (int i = 0; i < m; ++i) { + isx[i] = Integer.parseInt(data[i]); + } + + data = dataIn.readLine().trim().split("::")[0].trim() + .replaceAll("^'","").replaceAll("'$","").split("'\\s+'"); + for (int i = 0; i < m; ++i) { + vname[i] = data[i].substring(0,3); + } + + dataIn.close(); + + maxip = 0; + for (int i = 0; i < m; ++i) { + if (isx[i] > 0) { + ++maxip; + } + } + + if (mean.equalsIgnoreCase("M")) { + maxip += 1; + } + + ldq = n; + model = new String[maxip]; + free = new String[maxip]; + exss = new double[maxip]; + q = new double[ldq*(maxip+2)]; + p = new double[maxip+1]; + wk = new double[2*maxip]; + + for (int i = 0; i < model.length; ++i) { + StringBuilder tmp = new StringBuilder(); + for (int j = 0; j < vnlen; ++j) { + tmp.append(" "); + } + model[i] = tmp.toString(); + } + for (int i = 0; i < free.length; ++i) { + StringBuilder tmp = new StringBuilder(); + for (int j = 0; j < vnlen; ++j) { + tmp.append(" "); + } + free[i] = tmp.toString(); + } + istep = 0; + ifail = -1; + + + G02EE g02ee = new G02EE(istep,mean,weight,n,m,x,ldx,vname,isx,maxip,y,wt,fin, + addvar,newvar,chrss,f,model,nterm,rss,idf,ifr,free,exss,q,ldq,p, + wk,ifail); + for (int i = 0; i < m; ++i) { + g02ee.setIFAIL(0); + g02ee.eval(); + + System.out.printf(" Step %2d\n",g02ee.getISTEP()); + if (!g02ee.getADDVAR()) { + System.out.printf(" No further variables added maximum F =%7.2f\n",g02ee.getF()); + System.out.print(" Free variables: "); + for (int j = 0; j < g02ee.getIFR(); ++j) { + System.out.print(" "+free[j]); + } + System.out.println(); + System.out.println(" Change in residual sums of squares for free variables:"); + for (int j = 0; j < g02ee.getIFR(); ++j) { + System.out.printf(" %9.4f",g02ee.getEXSS()[j]); + } + System.out.println(); + break; + } + else { + System.out.println(" Added variable is "+g02ee.getNEWVAR()); + System.out.printf(" Change in residual sum of squares = %12.4E\n",g02ee.getCHRSS()); + System.out.printf(" F Statistic = %7.2f\n",g02ee.getF()); + System.out.println(); + System.out.print(" Variables in model:"); + for (int j = 0; j < g02ee.getNTERM(); ++j) { + System.out.print(" "+g02ee.getMODEL()[j]); + } + System.out.println("\n"); + System.out.printf(" Residual sum of squares = %13.4E\n",g02ee.getRSS()); + System.out.printf(" Degrees of freedom = %2d\n",g02ee.getIDF()); + System.out.println(); + if (g02ee.getIFR() == 0) { + System.out.println(" No free variables remaining"); + break; + } + System.out.print(" Free variables: "); + for (int j = 0; j < g02ee.getIFR(); ++j) { + System.out.print(" "+free[j]); + } + System.out.println(); + System.out.println(" Change in residual sums of squares for free variables:"); + for (int j = 0; j < g02ee.getIFR(); ++j) { + System.out.printf(" %9.4f",g02ee.getEXSS()[j]); + } + System.out.println(); + + } + + } + + } + +} diff --git a/simple_examples/source/int32/G02MAJE.java b/simple_examples/source/int32/G02MAJE.java new file mode 100644 index 0000000..4a8bfcb --- /dev/null +++ b/simple_examples/source/int32/G02MAJE.java @@ -0,0 +1,130 @@ +import com.nag.routines.G02.G02MA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * G02MAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class G02MAJE{ + + /** + * G02MAJ example main program + */ + public static void main(String[] args){ + int ifail, ip, ldb, ldd, lisx, lropt, m, mnstep, mtype, n, nstep = 0, pred, prey; + double[] b, d, fitsum, ropt, y; + int[] isx; + + isx = new int[0]; //placeholder + + System.out.println("G02MAJ Example Program Results"); + System.out.println(); + + //data (Could also read in from data file) + //Problem size + n = 20; + m = 6; + + //Model Specification + mtype = 1; + pred = 3; + prey = 1; + mnstep = 6; + lisx = 0; + + //Variable inclusion flags aren't needed in this example + ip = m; + + //Optional arguments (using defaults) + lropt = 0; + ropt = new double[lropt]; + + //D and Y + ldd = n; + y = new double[n]; + d = new double[ldd * m]; + + //Read in D and Y from data file (too large to write out) + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + line = reader.readLine(); //skip N, M + line = reader.readLine(); //skip mtype, pred, prey, mnstep, lisx + + String sVal[]; + + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < m; j++){ + d[(j * n) + i] = Double.parseDouble(sVal[j]); + } + y[i] = Double.parseDouble(sVal[m]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + System.exit(-2); + } + + //Allocate output arrays + ldb = ip; + b = new double[ldb * (mnstep + 2)]; + fitsum = new double[6 * (mnstep + 1)]; + + //Call the model fitting routine + ifail = -1; + G02MA g02ma = new G02MA(mtype, pred, prey, n, m, d, ldd, isx, lisx, y, mnstep, ip, nstep, b, ldb, + fitsum, ropt, lropt, ifail); + g02ma.eval(); + ifail = g02ma.getIFAIL(); + if(ifail != 0){ + if(ifail != 112 && ifail != 161 && ifail != 162 && ifail !=163){ + //ifail = 112, 161, 162, 163 are warnings, so no need to terminate + System.exit(-2); + } + } + + //update + nstep = g02ma.getNSTEP(); + + //Display the parameter estimates + System.out.printf(" Step\t\t\tParameter Estimate\n"); + System.out.println("------------------------------------------------------"); + for(int i = 0; i < nstep; i++){ + System.out.printf(" %d", (i + 1)); + for(int j = 0; j < ip; j++){ + System.out.printf("\t%.3f", b[j + (i * nstep)]); + } + System.out.printf("\n"); + } + System.out.println(); + System.out.printf("alpha: %.3f\n", fitsum[nstep * 6]); + System.out.println(); + System.out.printf(" Step Sum\tRSS\t df\t Cp\t Ck\tStep Size\n"); + System.out.println("---------------------------------------------------------"); + for(int k = 0; k < nstep; k++){ + System.out.printf(" %d %.3f\t%.3f %d\t %.3f\t %.3f %.3f\n", (k + 1), fitsum[k * nstep], fitsum[(k * nstep) + 1], + (int)(Math.floor(fitsum[(k + nstep) + 2] + 0.5)), fitsum[(k * nstep) + 3], + fitsum[(k * nstep) + 4], fitsum[(k * nstep) + 5]); + } + System.out.println(); + System.out.printf("sigma^2: %.3f\n", fitsum[(nstep * 6) + 4]); + } +} diff --git a/simple_examples/source/int32/G03GAJE.java b/simple_examples/source/int32/G03GAJE.java new file mode 100644 index 0000000..ba20592 --- /dev/null +++ b/simple_examples/source/int32/G03GAJE.java @@ -0,0 +1,355 @@ +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.Arrays; +import com.nag.routines.G03.G03GA; +import com.nag.routines.X04.X04CA; +import com.nag.routines.Routine; + +/** + * G03GAJ example program text. + * @author willa + * @since 27.0.0.0 + */ +public class G03GAJE{ + + /** + * G03GAJ example main program. + */ + public static void main(String[] args){ + int i, ldx, lprob, riter, lds, sds, ifail = 0; + double[] w, g, s, f; + double tol, loglik = 0; + + if(args.length != 1){ + G03GAJE.usage(); + } + + // Data file name as argument + String filename = args[0]; + // DataHolder object to hold data read in from data file + DataHolder data = new DataHolder(); + + readDataFile(filename, data); + + System.out.println(" G03GAJ Example Program Results"); + System.out.println(); + + // Leading dimensions + ldx = data.n; + lprob = data.n; + + + switch(data.sopt){ + case 1: + s = new double[data.nvar * data.nvar * data.ng]; + lds = data.nvar; + sds = data.nvar; + break; + case 2: + s = new double[data.nvar * data.nvar * 1]; + lds = data.nvar; + sds = data.nvar; + break; + case 3: + s = new double[data.nvar * data.ng * 1]; + lds = data.nvar; + sds = data.ng; + break; + case 4: + s = new double[data.nvar * 1 * 1]; + lds = data.nvar; + sds = 1; + break; + default: + s = new double[1 * 1 * 1]; + lds = 1; + sds = 1; + break; + } + + // Allocate array size + g = new double[data.nvar * data.ng]; + w = new double[data.ng]; + f = new double[data.n * data.ng]; + tol = 0.0; + riter = 5; + + ifail = 0; + + // Create g03ga object with variables from data file + G03GA g03ga = new G03GA(data.n, data.m, data.x, ldx, data.isx, data.nvar, data.ng, data.popt, data.prob, + lprob, data.niter, riter, w, g, data.sopt, s, lds, sds, f, tol, loglik, ifail); + + // Run routine + g03ga.eval(); + + // Update variables + data.n = g03ga.getN(); + data.m = g03ga.getM(); + data.x = g03ga.getX(); + ldx = g03ga.getLDX(); + data.isx = g03ga.getISX(); + data.nvar = g03ga.getNVAR(); + data.ng = g03ga.getNG(); + data.popt = g03ga.getPOPT(); + data.prob = g03ga.getPROB(); + lprob = g03ga.getLPROB(); + data.niter = g03ga.getNITER(); + riter = g03ga.getRITER(); + w = g03ga.getW(); + g = g03ga.getG(); + data.sopt = g03ga.getSOPT(); + s = g03ga.getS(); + lds = g03ga.getLDS(); + sds = g03ga.getSDS(); + f = g03ga.getF(); + tol = g03ga.getTOL(); + loglik = g03ga.getLOGLIK(); + ifail = g03ga.getIFAIL(); + + // Results + X04CA x04ca = new X04CA(); + + System.out.println(); + ifail = 0; + x04ca.eval("g", "n", 1, data.ng, w, 1, "Mixing proportions", ifail); + + System.out.println(); + ifail = 0; + x04ca.eval("g", "n", data.nvar, data.ng, g, data.nvar, "Group means", ifail); + + System.out.println(); + switch(data.sopt){ + case 1: + for(i = 0; i < data.ng; i++){ + ifail = 0; + // Wrapper returns a 1-dimensional array so X04CA has to be called like this to mimic + // calling X04CA along the 3rd dimension + x04ca.eval("g", "n", data.nvar, data.nvar, + Arrays.copyOfRange(s, (i * (data.nvar * data.nvar)), (data.nvar * data.nvar * data.ng)), + lds, "Variance-cavariance matrix", ifail); + } + break; + case 2: + ifail = 0; + x04ca.eval("g", "n", data.nvar, data.nvar, s, lds, "Pooled Variance-covariance matrix", ifail); + break; + case 3: + ifail = 0; + x04ca.eval("g", "n", data.nvar, data.ng, s, lds, "Groupwise Variance", ifail); + break; + case 4: + ifail = 0; + x04ca.eval("g", "n", data.nvar, 1, s, lds, "Pooled Variance", ifail); + break; + case 5: + ifail = 0; + x04ca.eval("g", "n", 1, 1, s, lds, "Overall Variance", ifail); + break; + } + + System.out.println(); + ifail = 0; + x04ca.eval("g", "n", data.n, data.ng, f, data.n, "Densities", ifail); + + System.out.println(); + ifail = 0; + x04ca.eval("g", "n", data.n, data.ng, data.prob, data.n, "Membership probabilities", ifail); + + System.out.println(); + System.out.println("No. iterations: " + data.niter); + System.out.printf("Log-likelihood: %.04f\n", loglik); + } + + /** + * Read data from given filename and puts into DataHolder object + * @param filename + * Name of data file (absolute or relative path) + * @param data + * DataHolder object to store data from data file + */ + public static void readDataFile(String filename, DataHolder data){ + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + // Problem size + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + data.setN(Integer.parseInt(sVal[0])); + data.setM(Integer.parseInt(sVal[1])); + data.setNvar(Integer.parseInt(sVal[2])); + + // Number of groups + line = reader.readLine(); + sVal = line.split("\\s+"); + data.setNg(Integer.parseInt(sVal[0])); + + // Scaling option + line = reader.readLine(); + sVal = line.split("\\s+"); + data.setSopt(Integer.parseInt(sVal[0])); + + // Initial probabilities option + line = reader.readLine(); + sVal = line.split("\\s+"); + data.setPopt(Integer.parseInt(sVal[0])); + + // Maximum number of iterations + line = reader.readLine(); + sVal = line.split("\\s+"); + data.setNiter(Integer.parseInt(sVal[0])); + + // + data.x = new double[data.m * data.n]; + data.prob = new double[data.ng * data.n]; + data.isx = new int[data.m]; + + //Data matrix X + for(int i = 0; i < data.n; ++i){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < data.m; ++j){ + data.x[i + (j * data.n)] = Double.parseDouble(sVal[j]); + } + } + + //Included variables + if(data.nvar != data.m){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int i = 0; i < data.m; ++i){ + data.isx[i] = Integer.parseInt(sVal[i]); + } + } + + + //Optionally read initial probabilities of group memebership (included in example data) + if(data.popt == 2){ + for(int i = 0; i < data.n; ++i){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < data.ng; ++j){ + data.prob[i + (j * data.n)] = Double.parseDouble(sVal[j]); + } + } + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + + } + + /** + * Stores data from data file for later reference + */ + private static class DataHolder{ + private int n; + private int m; + private int nvar; + private int ng; + private int sopt; + private int popt; + private int niter; + private int isx[]; + private double x[]; + private double prob[]; + + public void setN(int n){ + this.n = n; + } + + public int getN(){ + return n; + } + + public void setM(int m){ + this.m = m; + } + + public int getM(){ + return m; + } + + public void setNvar(int nvar){ + this.nvar = nvar; + } + + public int getNvar(){ + return nvar; + } + + public void setNg(int ng){ + this.ng = ng; + } + + public int getNg(){ + return ng; + } + + public void setSopt(int sopt){ + this.sopt = sopt; + } + + public int getSopt(){ + return sopt; + } + + public void setPopt(int popt){ + this.popt = popt; + } + + public int getPopt(){ + return popt; + } + + public void setNiter(int niter){ + this.niter = niter; + } + + public int getNiter(){ + return niter; + } + + public void setIsx(int[] isx){ + this.isx = isx; + } + + public int[] getIsx(){ + return isx; + } + + public void setX(double[] x){ + this.x = x; + } + + public double[] getX(){ + return x; + } + + public void setProb(double[] prob){ + this.prob = prob; + } + + public double[] getProb(){ + return prob; + } + } + + /** + * No arguments supplied when example runs + */ + private static void usage() { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} + diff --git a/simple_examples/source/int32/G05KFJE.java b/simple_examples/source/int32/G05KFJE.java new file mode 100644 index 0000000..18ce755 --- /dev/null +++ b/simple_examples/source/int32/G05KFJE.java @@ -0,0 +1,105 @@ +import com.nag.routines.G05.G05KF; +import com.nag.routines.G05.G05SA; +import com.nag.routines.Routine; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * G05KFJ example program text. + * @author willa + * @since 27.0.0.0 + */ +public class G05KFJE{ + + /** + * G05KFJ example main program. + */ + public static void main(String[] args){ + //genid, subid only initilised so they can be set in try{} without java throwing error + int lseed = 1, nin = 5, nout = 6, genid = 0, n = 0, subid = 0; + int ifail, lstate; + int[] seed, state; + double x[]; + + System.out.println("G05KFJ Example Program Results"); + System.out.println(); + + //No file input given + if(args.length != 1){ + G05KFJE.usage(); + } + + seed = new int[lseed]; + + //Read in data from data fiel + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //Read in the base generator information and seed + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + genid = Integer.parseInt(sVal[0]); + subid = Integer.parseInt(sVal[1]); + seed[0] = Integer.parseInt(sVal[2]); + + //Read in sample size + line = reader.readLine(); + sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[0]); + + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + lstate = 0; + ifail = 0; + state = new int[lstate]; + + //Initial call to get size of STATE array + G05KF g05kf = new G05KF(genid, subid, seed, lseed, state, lstate, ifail); + g05kf.eval(); + + //Update local variables + lstate = g05kf.getLSTATE(); + state = g05kf.getSTATE(); + + //Reallocate STATE + state = new int[lstate]; + + //Update object variables + g05kf.setSTATE(state); + g05kf.eval(); + + //Update local variables + state = g05kf.getSTATE(); + + x = new double[n]; + + //Generate the variates + ifail = 0; + G05SA g05sa = new G05SA(n, state, x, ifail); + g05sa.eval(); + + //Display the variates + for(int i = 0; i < x.length; i++){ + System.out.printf("%.4f\n", x[i]); + } + } + + /** + * Print usage information. + */ + private static void usage(){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} diff --git a/simple_examples/source/int32/G13AWJE.java b/simple_examples/source/int32/G13AWJE.java new file mode 100644 index 0000000..9e829bd --- /dev/null +++ b/simple_examples/source/int32/G13AWJE.java @@ -0,0 +1,31 @@ +import com.nag.routines.G01.G01EW; +import com.nag.routines.G13.G13AW; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * G13AW example program text. + */ +public class G13AWJE { + + public static void main(String[] args) { + + int n = 30, type = 1, p = 1, ifail = 1, method = 1, nsamp = 0; + double[] y = {-217.,-177.,-166.,-136.,-110.,-95.,-64.,-37.,-14.,-25.,-51., + -62.,-73.,-88.,-113.,-120.,-83.,-33.,-19.,21.,17.,44.,44.,78., + 88.,122.,126.,114.,85.,64}; + int[] state = new int[1]; + G13AW g13aw = new G13AW(type, p, n, y, ifail); + System.out.println(" G13AWJ Example Program Results\n"); + double ts = g13aw.eval(); + G01EW g01ew = new G01EW(method,type,n,ts,nsamp,state,ifail); + double pvalue = g01ew.eval(); + ifail = g01ew.getIFAIL(); + if (ifail == 0 || ifail == 201) { + System.out.printf("Dickey-Fuller test statistic = %6.3f\n", ts); + System.out.printf("associated p-value = %6.3f\n", pvalue); + } + + } + +} diff --git a/simple_examples/source/int32/G13MEJE.java b/simple_examples/source/int32/G13MEJE.java new file mode 100644 index 0000000..a768a46 --- /dev/null +++ b/simple_examples/source/int32/G13MEJE.java @@ -0,0 +1,160 @@ +import com.nag.routines.G13.G13ME; + +/** + * G13MEJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class G13MEJE{ + + /** + * G13MEJ main program + */ + public static void main(String[] args){ + double tau; + int ifail, lrcomm, m, nb, pn; + double[] iema, rcomm, sinit, t; + int[] inter, nbVal; + + inter = new int[2]; + + System.out.println("G13MEJ Example Program Results"); + System.out.println(); + + //data (can read in from data file) + //Number of iteration required + m = 2; + + //Decay parameter and interpolation method + tau = 2; + inter[0] = 3; + inter[1] = 2; + + //Initial values + sinit = new double[m + 2]; + sinit[0] = 5; + sinit[1] = 0.5; + sinit[2] = 0.5; + sinit[3] = 0.5; + + //Array of NB values in order + nbVal = new int[3]; + nbVal[0] = 5; + nbVal[1] = 10; + nbVal[2] = 15; + + //First block + double[] t1 = new double[nbVal[0]]; + double[] iema1 = new double[nbVal[0]]; + t1[0] = 7.5; + t1[1] = 8.2; + t1[2] = 18.1; + t1[3] = 22.8; + t1[4] = 25.8; + iema1[0] = 0.6; + iema1[1] = 0.6; + iema1[2] = 0.8; + iema1[3] = 0.1; + iema1[4] = 0.2; + + //Second block + double[] t2 = new double[nbVal[1]]; + double[] iema2 = new double[nbVal[1]]; + t2[0] = 26.8; + t2[1] = 31.1; + t2[2] = 38.4; + t2[3] = 45.9; + t2[4] = 48.2; + t2[5] = 48.9; + t2[6] = 57.9; + t2[7] = 58.5; + t2[8] = 63.9; + t2[9] = 65.2; + iema2[0] = 0.2; + iema2[1] = 0.5; + iema2[2] = 0.7; + iema2[3] = 0.1; + iema2[4] = 0.4; + iema2[5] = 0.7; + iema2[6] = 0.8; + iema2[7] = 0.3; + iema2[8] = 0.2; + iema2[9] = 0.5; + + //Third block + double[] t3 = new double[nbVal[2]]; + double[] iema3 = new double[nbVal[2]]; + t3[0] = 66.6; + t3[1] = 67.4; + t3[2] = 69.3; + t3[3] = 69.9; + t3[4] = 73.0; + t3[5] = 75.6; + t3[6] = 77.0; + t3[7] = 84.7; + t3[8] = 86.8; + t3[9] = 88.0; + t3[10] = 88.5; + t3[11] = 91.0; + t3[12] = 93.0; + t3[13] = 93.7; + t3[14] = 94.0; + iema3[0] = 0.2; + iema3[1] = 0.3; + iema3[2] = 0.8; + iema3[3] = 0.6; + iema3[4] = 0.1; + iema3[5] = 0.7; + iema3[6] = 0.9; + iema3[7] = 0.6; + iema3[8] = 0.3; + iema3[9] = 0.1; + iema3[10] = 0.1; + iema3[11] = 0.4; + iema3[12] = 1.0; + iema3[13] = 1.0; + iema3[14] = 0.1; + + //Print some titles + System.out.printf("\t\t\tIterated\n"); + System.out.println("\t\tTime\t EMA\n"); + System.out.println("--------------------------------"); + + lrcomm = 20 + m; + rcomm = new double[lrcomm]; + + pn = 0; + + //Loop through 3 blocks + for(int i = 0; i < nbVal.length; i++){ + //nb for given block + nb = nbVal[i]; + + //Use data for current block + if(i == 0){ + t = t1; + iema = iema1; + } + else if(i == 1){ + t = t2; + iema = iema2; + } + else{ + t = t3; + iema = iema3; + } + + ifail = 0; + G13ME g13me = new G13ME(nb, iema, t, tau, m, sinit, inter, pn, rcomm, lrcomm, ifail); + g13me.eval(); + pn = g13me.getPN(); + + //Display results for this block of data + for(int j = 0; j < nb; j++){ + System.out.printf("\t%d\t%.1f\t%.3f\n", pn - nb + (j + 1), t[j], iema[j]); + } + System.out.println(); + } + } +} + diff --git a/simple_examples/source/int32/G13NAJE.java b/simple_examples/source/int32/G13NAJE.java new file mode 100644 index 0000000..2032eb1 --- /dev/null +++ b/simple_examples/source/int32/G13NAJE.java @@ -0,0 +1,123 @@ +import com.nag.routines.G13.G13NA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * G13NAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class G13NAJE{ + + /** + * G13NAJ example main program + */ + public static void main(String[] args){ + double beta = 0; + int ctype = 0, ifail, iparam = 0, minss = 0, n = 0, ntau = 0; //placeholder + double[] param, sparam, y; + int[] tau; + + param = new double[1]; + //Placeholder y to be read in from data file + y = new double[0]; + + System.out.println("G13NAJ Example Program Results"); + System.out.println(); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //Read in the problem size + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[0]); + + //Allocate enough size to hold the input series + y = new double[n]; + + //Read in the input series + for(int i = 0; i < 10; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < 10; j++){ + y[(i * 10) + j] = Double.parseDouble(sVal[j]); + } + } + + //Read in the type of change point, penalty and minimum segment size + line = reader.readLine(); + sVal = line.split("\\s+"); + ctype = Integer.parseInt(sVal[0]); + iparam = Integer.parseInt(sVal[1]); + beta = Double.parseDouble(sVal[2]); + minss = Integer.parseInt(sVal[3]); + + //Read in the distribution parameter (if required) + if(iparam == 1){ + line = reader.readLine(); + sVal = line.split("\\s+"); + param[0] = Double.parseDouble(sVal[0]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + System.exit(-2); + } + + //Output arrays + tau = new int[n]; + sparam = new double[(2 * n) + 2]; + + ifail = -1; + + //Call routine to detece change points + G13NA g13na = new G13NA(ctype, n, y, beta, minss, iparam, param, ntau, tau, sparam, ifail); + g13na.eval(); + + //update + ifail = g13na.getIFAIL(); + ctype = g13na.getCTYPE(); + ntau = g13na.getNTAU(); + + if(ifail == 0 || ifail == 200 || ifail == 201){ + //Display the results + if(ctype == 5 || ctype == 6){ + //Exponential or Poisson distribtion + System.out.printf(" -- Charge Points -- Distribution\n"); + System.out.printf(" Number Position Parameter \n"); + System.out.println("====================================="); + for(int i = 0; i < ntau; i++){ + System.out.printf(" %d\t %d\t%.2f", i + 1, tau[i], sparam[i]); + } + + } + else{ + //Normal of Gamma distribution + System.out.printf(" -- Charge Points -- --- Distribution ---\n"); + System.out.printf(" Number Position Parameters\n"); + System.out.println("================================================="); + for(int i = 0; i < ntau; i++){ + System.out.printf(" %d\t %d\t %.2f\t %.2f\n", (i + 1), tau[i], sparam[2 * i], sparam[(2 * i) + 1]); + } + } + } + if(ifail == 200 || ifail == 201){ + System.out.println("Some truncation occured internally to avoid overflow"); + } + } +} diff --git a/simple_examples/source/int32/H02BBJE.java b/simple_examples/source/int32/H02BBJE.java new file mode 100644 index 0000000..04f4207 --- /dev/null +++ b/simple_examples/source/int32/H02BBJE.java @@ -0,0 +1,92 @@ +import com.nag.routines.H.H02BB; + +/** + * H02BBJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class H02BBJE{ + + /** + * H02BBJ example main program + */ + public static void main(String[] args){ + double bigbnd, objmip = 0, tolfes, toliv; + int ifail, intfst, itmax, lda, liwork, lrwork, m, maxdpt, maxnod, msglvl, n; + double[] a, bl, bu, cvec, rwork, x; + int[] intvar, iwork; + + System.out.println("H02BBJ Example Program Results"); + System.out.println(); + + //Data (can be read in from data file) + n = 2; + m = 3; + lda = m; + + a = new double[lda * n]; + bl = new double[m + n]; + bu = new double[m + n]; + cvec = new double[n]; + x = new double[n]; + intvar = new int[n]; + + itmax = 0; + msglvl = 10; + maxnod = 0; + intfst = 0; + maxdpt = 4; + tolfes = 0; + toliv = 0; + + cvec[0] = -3; + cvec[1] = -4; + + //A = ( 2, 5) + // ( 2, -2) + // ( 3, 2) + a[0] = 2; + a[1] = 2; + a[2] = 3; + a[3] = 5; + a[4] = -2; + a[5] = 2; + + bigbnd = 1E+20; + + bl[0] = 0; + bl[1] = 0; + bl[2] = -1E+20; + bl[3] = -1E+20; + bl[4] = 5; + + bu[0] = 1E+20; + bu[1] = 1E+20; + bu[2] = 15; + bu[3] = 5; + bu[4] = 1E+20; + + intvar[0] = 1; + intvar[1] = 1; + + x[0] = 1; + x[1] = 1; + + liwork = ((25 + n + m) * maxdpt) + (5 * n) + m + 4; + //Math.pow() needs to be casted to int in java + lrwork = (maxdpt * (n + 1)) + (2 * (int)Math.pow(Math.min(n, m + 1), 2)) + (14 * n) + (12 * m); + iwork = new int[liwork]; + rwork = new double[lrwork]; + + ifail = 0; + + H02BB h02bb = new H02BB(itmax, msglvl, n, m, a, lda, bl, bu, intvar, cvec, maxnod, intfst, maxdpt, toliv, + tolfes, bigbnd, x, objmip, iwork, liwork, rwork, lrwork, ifail); + h02bb.eval(); + } +} + + + + + diff --git a/simple_examples/source/int32/H02DAJE.java b/simple_examples/source/int32/H02DAJE.java new file mode 100644 index 0000000..6e90401 --- /dev/null +++ b/simple_examples/source/int32/H02DAJE.java @@ -0,0 +1,228 @@ +import com.nag.routines.H.H02DA; +import com.nag.routines.H.H02ZK; +import com.nag.routines.H.H02ZL; +import com.nag.routines.X04.X04CA; +import java.util.Arrays; + +/** + * H02DAJ exmaple program text + * @author willa + * @since 27.1.0.0 + */ +public class H02DAJE{ + + /** + * H02DAJ example main program + */ + public static void main(String[] args){ + double acc, accqp = 0, objmip = 0; + int ifail, ivalue = 0, lda, liopts, lopts, maxit, n, nclin, ncnln, optype = 0; + String cvalue; + double[] a, ax, bl, bu, c, cjac, d, objgrd, x, opts, ruser; + int[] iopts, iuser, varcon; + + System.out.println("H02DAJ Example Program Results"); + System.out.println(); + + opts = new double[100]; + ruser = new double[1]; + iopts = new int[200]; + iuser = new int[1]; + + //Blank 40 character string to represent ```Character (40) :: cvalue``` + char[] ch = new char[40]; + Arrays.fill(ch, ' '); + cvalue = new String(ch); + + n = 8; + nclin = 5; + ncnln = 2; + lda = nclin; + + a = new double[lda * n]; + d = new double[nclin]; + ax = new double[nclin]; + bl = new double[n]; + bu = new double[n]; + varcon = new int[n + nclin + ncnln]; + x = new double[n]; + c = new double[ncnln]; + cjac = new double[ncnln * n]; + objgrd = new double[n]; + + //Set variable types: continuous then binary + varcon[0] = 0; + varcon[1] = 0; + varcon[2] = 0; + varcon[3] = 0; + varcon[4] = 1; + varcon[5] = 1; + varcon[6] = 1; + varcon[7] = 1; + + //Set continuous variable bounds + bl[0] = 0; + bl[1] = 0; + bl[2] = 0; + bl[3] = 0; + bu[0] = 1000; + bu[1] = 1000; + bu[2] = 1000; + bu[3] = 1000; + + //Bounds for binary variables need not be provided + bl[4] = 0; + bl[5] = 0; + bl[6] = 0; + bl[7] = 0; + bu[4] = 1; + bu[5] = 1; + bu[6] = 1; + bu[7] = 1; + + //Set linear constraint, equality first + varcon[n] = 3; + varcon[n + 1] = 4; + varcon[n + 2] = 4; + varcon[n + 3] = 4; + varcon[n + 4] = 4; + + //Set Ax=d then Ax>=d + //( 1, 1, 1, 1, 0, 0, 0, 0) + //(-1, 0, 0, 0, 1, 0, 0, 0) + //( 0,-1, 0, 0, 0, 1, 0, 0) + //( 0, 0,-1, 0, 0, 0, 1, 0) + //( 0, 0, 0,-1, 0, 0, 0, 1) + a[0] = 1; + a[1] = -1; + a[5] = 1; + a[7] = -1; + a[10] = 1; + a[13] = -1; + a[15] = 1; + a[19] = -1; + a[21] = 1; + a[27] = 1; + a[33] = 1; + a[39] = 1; + d[0] = 1; + d[1] = 0; + d[2] = 0; + d[3] = 0; + d[4] = 0; + + //Set constraints supplied by CONFUN, equality first + varcon[n + nclin] = 3; + varcon[n + nclin + 1] = 4; + + liopts = iopts.length; + lopts = opts.length; + + //Initialize communication arrays + ifail = 0; + H02ZK h02zk = new H02ZK("Initialize = H02DAF", iopts, liopts, opts, lopts, ifail); + h02zk.eval(); + + + //Optimization parameters + maxit = 500; + acc = 0.000001; + + //Initial estimate (binary variables need not be given) + x[0] = 1; + x[1] = 1; + x[2] = 1; + x[3] = 1; + x[4] = 0; + x[5] = 0; + x[6] = 0; + x[7] = 0; + + //Portfolio parameters p and rho + iuser[0] = 3; + ruser[0] = 10; + + ifail = 0; + //Create objfun1, confun1 to pass to H02DA representing repsecitve subroutines + objfun objfun1 = new objfun(); + confun confun1 = new confun(); + H02DA h02da = new H02DA(n, nclin, ncnln, a, lda, d, ax, bl, bu, varcon, x, confun1, c, cjac, objfun1, + objgrd, maxit, acc, objmip, iopts, opts, iuser, ruser, ifail); + h02da.eval(); + + //Results + ifail = h02da.getIFAIL(); + if(ifail == 0){ + X04CA x04ca = new X04CA("G", "N", n, 1, x, n, "Final Esimate:", ifail); + x04ca.eval(); + + //Query the accuracy of the mixed integer QP Solver + ifail = -1; + H02ZL h02zl = new H02ZL("QP Accuracy", ivalue, accqp, cvalue, optype, iopts, opts, ifail); + h02zl.eval(); + + //Update values to print + accqp = h02zl.getRVALUE(); + objmip = h02da.getOBJMIP(); + ifail = h02zl.getIFAIL(); + if(ifail == 0){ + System.out.printf("Requested accuracy of QP subproblems\t%.4e\n", accqp); + } + System.out.printf("Optimised value:\t%.3f\n", objmip); + } + else{ + System.out.printf("h02daf returns ifail = %d\n", ifail); + } + } + + /** + * objfun class extending Abstract_H02DA_OBJFUN to represent objfun subroutine for passing to H02DA + */ + public static class objfun extends H02DA.Abstract_H02DA_OBJFUN{ + public void eval(){ + if(this.MODE == 0){ + //Objective value + this.OBJMIP = (this.X[0] * ((4 * this.X[0]) + (3 * this.X[1]) - this.X[2])) + + (this.X[1] * ((3 * this.X[0]) + (6 * this.X[1]) + this.X[2])) + + (this.X[2] * (this.X[1] - this.X[0] + (10 * this.X[2]))); + } + else{ + //Objective gradients for continous varaiables + this.OBJGRD[0] = (8 * this.X[0]) + (6 * this.X[1]) - (2 * this.X[2]); + this.OBJGRD[1] = (6 * this.X[0]) + (12 * this.X[1]) + (2 * this.X[2]); + this.OBJGRD[2] = (2 * (this.X[1] - this.X[0])) + (20 * this.X[2]); + this.OBJGRD[3] = 0; + } + } + } + + /** + * confun class extending Abstract_H02DA_CONFUN to represent confun subroutine for passing to H02DA + */ + public static class confun extends H02DA.Abstract_H02DA_CONFUN{ + public void eval(){ + if(this.MODE == 0){ + //Constraints + int p = this.IUSER[0]; + double rho = this.RUSER[0]; + + //Mean return rho: + this.C[0] = (8 * this.X[0]) + (9 * this.X[1]) + (12 * this.X[2]) + (7 * this.X[3]) - rho; + //Maximum of p assets in portfolio + this.C[1] = p - this.X[4] - this.X[5] - this.X[6] - this.X[7]; + } + else{ + //Jacobian + this.CJAC[0] = 8; + this.CJAC[2] = 9; + this.CJAC[4] = 12; + this.CJAC[6] = 7; + //c[2] does not include continuours varaibles which requries that their derivatives are zero + this.CJAC[1] = 0; + this.CJAC[3] = 0; + this.CJAC[5] = 0; + this.CJAC[7] = 0; + } + } + } +} diff --git a/simple_examples/source/int32/M01CCJE.java b/simple_examples/source/int32/M01CCJE.java new file mode 100644 index 0000000..fda5e2f --- /dev/null +++ b/simple_examples/source/int32/M01CCJE.java @@ -0,0 +1,42 @@ +import com.nag.routines.M01.M01CC; +import java.io.*; + +/** + * M01CC example program text. + */ +public class M01CCJE { + + public static void main(String[] args) throws Exception { + + String[] ch; + String order = "Reverse ASCII"; + int m1,m2,l1,l2; + int ifail = 0; + + BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); + + dataIn.readLine(); + m2 = Integer.parseInt(dataIn.readLine().trim().split(":+")[0].trim()); + ch = new String[m2]; + m1 = 1; + for (int i = m1-1; i < m2; ++i) { + ch[i] = dataIn.readLine(); + } + dataIn.close(); + l1 = 7; + l2 = 12; + + System.out.println(" M01CCJ Example Program Results"); + M01CC m01cc = new M01CC(ch, m1, m2, l1, l2, order, ifail); + m01cc.eval(); + ifail = m01cc.getIFAIL(); + System.out.println(); + System.out.printf(" Records sorted on columns %2d to %2d\n",l1,l2); + System.out.println(); + for (int i = m1-1; i < m2; ++i) { + System.out.println(" "+ch[i]); + } + + } + +} diff --git a/simple_examples/source/int32/S01BAJE.java b/simple_examples/source/int32/S01BAJE.java new file mode 100644 index 0000000..4bf2823 --- /dev/null +++ b/simple_examples/source/int32/S01BAJE.java @@ -0,0 +1,39 @@ +import com.nag.routines.S.S01BA; + +/** + * S01BAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S01BAJE{ + + /** + * S01BAJE main program + */ + public static void main(String[] args){ + double y; + int ifail; + double[] xVal; //data + + //store data + xVal = new double[6]; + xVal[0] = 2.5; + xVal[1] = 0.125; + xVal[2] = -0.906; + xVal[3] = 0.00129; + xVal[4] = -0.00000783; + xVal[5] = 0.000000001; + + System.out.println("S01BAJ Example Program Results"); + System.out.println(); + System.out.printf("\tX\t\tY\n"); + + for(double x : xVal){ + ifail = -1; + S01BA s01ba = new S01BA(x, ifail); + y = s01ba.eval(); + + System.out.printf("\t%.4e\t%.4e\n", x, y); + } + } +} diff --git a/simple_examples/source/int32/S10AAJE.java b/simple_examples/source/int32/S10AAJE.java new file mode 100644 index 0000000..2a0878a --- /dev/null +++ b/simple_examples/source/int32/S10AAJE.java @@ -0,0 +1,40 @@ +import com.nag.routines.S.S10AA; + +/** + * S10AAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S10AAJE{ + + /** + * S10AAJ example main program + */ + public static void main(String[] args){ + double y; + double[] xVal; + int ifail; + + //x values (can be read in from data file) + xVal = new double[4]; + xVal[0] = -20; + xVal[1] = -5.0; + xVal[2] = 0.5; + xVal[3] = 5.0; + + System.out.println("S10AAJ Example Program Results"); + + System.out.println(); + System.out.printf("\tX\t\tY"); + System.out.println(); + + for(double x : xVal){ + ifail = -1; + S10AA s10aa = new S10AA(x, ifail); + y = s10aa.eval(); + ifail = s10aa.getIFAIL(); + + System.out.printf("\t%.3e\t%.3e\n", x, y); + } + } +} diff --git a/simple_examples/source/int32/S10ABJE.java b/simple_examples/source/int32/S10ABJE.java new file mode 100644 index 0000000..dd84ab7 --- /dev/null +++ b/simple_examples/source/int32/S10ABJE.java @@ -0,0 +1,41 @@ +import com.nag.routines.S.S10AB; + +/** + * S10ABJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S10ABJE{ + + /** + * S10ABJ example main program + */ + public static void main(String[] args){ + double y; + double[] xVal; + int ifail; + + //x values (can be read in from data file) + xVal = new double[5]; + xVal[0] = -10; + xVal[1] = -0.5; + xVal[2] = 0; + xVal[3] = 0.5; + xVal[4] = 25.0; + + System.out.println("S10ABJ Example Program Results"); + + System.out.println(); + System.out.printf("\tX\t\tY"); + System.out.println(); + + for(double x : xVal){ + ifail = -1; + S10AB s10ab = new S10AB(x, ifail); + y = s10ab.eval(); + ifail = s10ab.getIFAIL(); + + System.out.printf("\t%.3e\t%.3e\n", x, y); + } + } +} diff --git a/simple_examples/source/int32/S10ACJE.java b/simple_examples/source/int32/S10ACJE.java new file mode 100644 index 0000000..cc0c04c --- /dev/null +++ b/simple_examples/source/int32/S10ACJE.java @@ -0,0 +1,41 @@ +import com.nag.routines.S.S10AC; + +/** + * S10ACJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S10ACJE{ + + /** + * S10ACJ example main program + */ + public static void main(String[] args){ + double y; + double[] xVal; + int ifail; + + //x values (can be read in from data file) + xVal = new double[5]; + xVal[0] = -10; + xVal[1] = -0.5; + xVal[2] = 0; + xVal[3] = 0.5; + xVal[4] = 25.0; + + System.out.println("S10ACJ Example Program Results"); + + System.out.println(); + System.out.printf("\tX\t\tY"); + System.out.println(); + + for(double x : xVal){ + ifail = -1; + S10AC s10ac = new S10AC(x, ifail); + y = s10ac.eval(); + ifail = s10ac.getIFAIL(); + + System.out.printf("\t%.3e\t%.3e\n", x, y); + } + } +} diff --git a/simple_examples/source/int32/S14ABJE.java b/simple_examples/source/int32/S14ABJE.java new file mode 100644 index 0000000..673a4b3 --- /dev/null +++ b/simple_examples/source/int32/S14ABJE.java @@ -0,0 +1,71 @@ +import com.nag.routines.S.S14AB; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * S14ABJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S14ABJE{ + + /** + * S14ABJ example main program + */ + public static void main(String[] args){ + double x, y; + int ifail; + + System.out.println("S14ABJ Example Program Results"); + + //Supply file path as argument + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + System.out.println(); + System.out.printf("\tX\t\tY"); + System.out.println(); + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //loop until break + while(true){ + line = reader.readLine(); + + //if finished looping through file break + if(line == null){ + break; + } + String[] sVal = line.split("\\s+"); + + x = Double.parseDouble(sVal[1]); + + ifail = -1; + S14AB s14ab = new S14AB(x, ifail); + y = s14ab.eval(); + //update ifail + ifail = s14ab.getIFAIL(); + + if(ifail < 0){ + break; + } + System.out.printf("\t%.3e\t%.3e\n", x, y); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} + diff --git a/simple_examples/source/int32/S14ACJE.java b/simple_examples/source/int32/S14ACJE.java new file mode 100644 index 0000000..e2fff05 --- /dev/null +++ b/simple_examples/source/int32/S14ACJE.java @@ -0,0 +1,68 @@ +import com.nag.routines.S.S14AC; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * S14ACJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S14ACJE{ + + /** + * S14ACJ example main program + */ + public static void main(String[] args){ + double f, x; + int ifail; + + System.out.println("S14ACJ Example Program Results"); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + System.out.println(); + System.out.printf("\tX\tpsi(X)-log(X)\n"); + System.out.println(); + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //Loop until break... + while(true){ + line = reader.readLine(); + if(line == null){ + break; + } + String[] sVal = line.split("\\s+"); + + x = Double.parseDouble(sVal[0]); + + ifail = -1; + S14AC s14ac = new S14AC(x, ifail); + f = s14ac.eval(); + ifail = s14ac.getIFAIL(); + + if(ifail < 0){ + break; + } + + System.out.printf("\t%.4f\t%.4f\n", x, f); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} diff --git a/simple_examples/source/int32/S14AFJE.java b/simple_examples/source/int32/S14AFJE.java new file mode 100644 index 0000000..9005cc1 --- /dev/null +++ b/simple_examples/source/int32/S14AFJE.java @@ -0,0 +1,80 @@ +import com.nag.routines.S.S14AF; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * S14AFJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class S14AFJE{ + + /** + * S14AFJ Example main program + */ + public static void main(String[] args){ + NAGComplex y, z; + int ifail, k; + + //Tell the wrapper the type of complex being used before calling a routine + Routine.setComplex(new NAGComplex()); + + y = new NAGComplex(); + z = new NAGComplex(); + + System.out.println("S14AFJ Example Program Results"); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); + + System.out.println(); + System.out.println("\tZ\t\tK\t(d^K/dz^K)psi(Z)"); + System.out.println(); + + //loop until break... + while(true){ + line = reader.readLine(); + + //end of file reached + if(line == null){ + break; + } + + String[] sVal = line.split("\\s+"); + z.setRe(Double.parseDouble(sVal[0])); + z.setIm(Double.parseDouble(sVal[1])); + k = Integer.parseInt(sVal[2]); + + ifail = -1; + S14AF s14af = new S14AF(z, k, ifail); + y = (NAGComplex) s14af.eval(); + ifail = s14af.getIFAIL(); + + //ifail < 0 => error + if(ifail < 0){ + break; + } + System.out.printf("\t(%.1f, %.1f)\t%d\t(%.4e, %.4e)\n", z.getRe(), z.getIm(), k, y.getRe(), y.getIm()); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} diff --git a/simple_examples/source/int32/S17DCJE.java b/simple_examples/source/int32/S17DCJE.java new file mode 100644 index 0000000..ba01290 --- /dev/null +++ b/simple_examples/source/int32/S17DCJE.java @@ -0,0 +1,69 @@ +import com.nag.routines.S.S17DC; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +public class S17DCJE{ + private static int n = 2; + + public static void main(String[] args){ + double fnu; + int ifail, nz = 0; + String scal; + NAGComplex z; + NAGComplex[] cwrk, cy; + + z = new NAGComplex(); + //initiate complex arrays like this to save looping through and doing it manually by looping through + cwrk = NAGComplex.createArray(n); + cy = NAGComplex.createArray(n); + + System.out.println("S17DCF Example Program Results"); + + //Supply file path as argument + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + System.out.println(); + System.out.printf("Calling with N = %d\n", n); + System.out.println(); + System.out.printf("FNU\tZ\t\t\tSCAL\tCY[0]\t\t\tCY[1]\t\t\tNZ"); + System.out.println(); + + while(true){ + line = reader.readLine(); + if(line == null){ + break; + } + String[] sVal = line.split("\\s+"); + fnu = Double.parseDouble(sVal[0]); + z.setRe(Double.parseDouble(sVal[1])); + z.setIm(Double.parseDouble(sVal[2])); + scal = sVal[3].substring(1,2); + + ifail = 0; + S17DC s17dc = new S17DC(fnu, z, n, scal, cy, nz, cwrk, ifail); + s17dc.eval(); + + System.out.printf("%.4f\t(%.4f, %.4f)\t%s\t(%.4f, %.4f)\t(%.4f, %.4f)\t%d\n", fnu, z.getRe(), z.getIm(), scal, cy[0].getRe(), cy[0].getIm(), cy[1].getRe(), cy[1].getIm(), nz); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} + diff --git a/simple_examples/source/int32/S17DGJE.java b/simple_examples/source/int32/S17DGJE.java new file mode 100644 index 0000000..b93c9e0 --- /dev/null +++ b/simple_examples/source/int32/S17DGJE.java @@ -0,0 +1,61 @@ +import com.nag.routines.S.S17DG; +import com.nag.types.NAGComplex; +import java.io.*; +import java.util.regex.Matcher; +import java.util.regex.Pattern; + +/** + * S17DG example program text. + */ +public class S17DGJE { + + public static void main(String[] args) throws Exception { + String deriv,scal; + int ifail = 1; + NAGComplex z,ai; + int nz = -1; + z = new NAGComplex(); + ai = new NAGComplex(); + ai.setRe(Double.NaN); + ai.setIm(Double.NaN); + + System.out.println(" S17DGJ Example Program Results"); + BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); + + dataIn.readLine(); + System.out.println(); + System.out.println(" DERIV Z SCAL AI NZ"); + System.out.println(); + String line = dataIn.readLine(); + Pattern linePatt = Pattern.compile("\\s*'([A-Z]{1})'\\s+\\(\\s*([0-9\\.\\-]+)\\s*," + + "\\s*([0-9\\.\\-]+)\\s*\\)\\s+'([A-Z]{1})'\\s*"); + Matcher m; + S17DG s17dg = new S17DG(); + while (line != null) { + m = linePatt.matcher(line); + if (m.matches()) { + deriv = m.group(1); + z.setRe(Double.parseDouble(m.group(2))); + z.setIm(Double.parseDouble(m.group(3))); + scal = m.group(4); + ifail = 1;// SOFT AND SILENT FAILURE + s17dg.eval(deriv,z,scal,ai,nz,ifail); + if (s17dg.getIFAIL() == 0) { + System.out.printf(" %s (%8.4f,%8.4f) %s (%8.4f,%8.4f) %4d\n", + s17dg.getDERIV(), s17dg.getZ().getRe(), s17dg.getZ().getIm(), s17dg.getSCAL(), + s17dg.getAI().getRe(), s17dg.getAI().getIm(), s17dg.getNZ()); + } + else { + System.err.println("Something went wrong - S17DG returned IFAIL = "+s17dg.getIFAIL()); + System.exit(-1); + } + } + else { + System.out.println("Can't match:\n"+line); + } + line = dataIn.readLine(); + } + + } + +} diff --git a/simple_examples/source/int32/S30AAJE.java b/simple_examples/source/int32/S30AAJE.java new file mode 100644 index 0000000..7e01ffe --- /dev/null +++ b/simple_examples/source/int32/S30AAJE.java @@ -0,0 +1,109 @@ +import com.nag.routines.S.S30AA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * S30AAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S30AAJE{ + + /** + * S30AAJ main program + */ + public static void main(String[] args){ + double q = 0, r = 0, s = 0, sigma = 0; + int ifail, ldp, m = 0, n = 0; + String calput = ""; //placeholders + double[] p, t, x; + + //placeholders + t = new double[0]; + x = new double[0]; + + System.out.println("S30AAJ Example Program Results"); + + //Supply file path as arugment + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + calput = sVal[0].substring(1,2); + + line = reader.readLine(); + sVal = line.split("\\s+"); + s = Double.parseDouble(sVal[0]); + sigma = Double.parseDouble(sVal[1]); + r = Double.parseDouble(sVal[2]); + q = Double.parseDouble(sVal[3]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + m = Integer.parseInt(sVal[0]); + n = Integer.parseInt(sVal[1]); + + t = new double[n]; + x = new double[m]; + + for(int i = 0; i < m; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + x[i] = Double.parseDouble(sVal[0]); + } + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + t[i] = Double.parseDouble(sVal[0]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ldp = m; + p = new double[ldp * n]; + + ifail = 0; + S30AA s30aa = new S30AA(calput, m, n, x, s, t, sigma, r, q, p, ldp, ifail); + s30aa.eval(); + + System.out.println(); + System.out.println("Black-Scholes-Merton formula"); + + if(calput.toLowerCase().equals("c")){ + System.out.println("European Call : "); + } + else if(calput.toLowerCase().equals("p")){ + System.out.println("European Put : "); + } + + System.out.printf(" Spot =\t%.4f\n", s); + System.out.printf(" Volatility =\t%.4f\n", sigma); + System.out.printf(" Rate =\t%.4f\n", r); + System.out.printf(" Dividend =\t%.4f\n", q); + + System.out.println(); + System.out.printf(" Strike\tExpiry\tOption Price\n"); + for(int i = 0; i < m; i++){ + for(int j = 0; j < n; j++){ + System.out.printf(" %.4f\t%.4f\t%.4f\n", x[i], t[j], p[i + (j * 3)]); + } + } + } +} + diff --git a/simple_examples/source/int32/S30ACJE.java b/simple_examples/source/int32/S30ACJE.java new file mode 100644 index 0000000..8d994dc --- /dev/null +++ b/simple_examples/source/int32/S30ACJE.java @@ -0,0 +1,129 @@ +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.Arrays; + +import com.nag.routines.S.S30AC; + +/** + * S30AC example program text. + */ +public class S30ACJE { + + public static void main(String[] args) { + + int i, ifail, mode = 0, n = 0; + String calput; + + double[] k = null, p = null, r = null, s0 = null, sigma = null, t = null; + int[] ivalid = null; + + // Strings must be length expected by Fortran + calput = getBlankString(1); + + /* Header */ + System.out.println(" S30ACJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); // skip header + + System.out.println(); + System.out.println(" SIGMA IVALID"); + System.out.println(); + + line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + calput = sVal[0].replaceAll("\'", ""); + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + mode = Integer.parseInt(sVal[1]); + + line = reader.readLine(); // skip empty line + + p = new double[n]; + k = new double[n]; + s0 = new double[n]; + t = new double[n]; + r = new double[n]; + sigma = new double[n]; + ivalid = new int[n]; + + // Read p, k, s0, t and r from data file + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + p[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + k[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + s0[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + t[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + r[i] = Double.parseDouble(sVal[i]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Find the implied volatilities, sigma + ifail = 0; + S30AC s30ac = new S30AC(); + s30ac.eval(calput, n, p, k, s0, t, r, sigma, mode, ivalid, ifail); + + // Print solution + for (i = 0; i < n; i++) { + System.out.printf(" %12.3E%5d\n", sigma[i], ivalid[i]); + } + + } + + /** + * Returns a new String, filled with spaces to the specified length. + * + * @param len the required length of the String + * @return a blank String of the specified length + */ + public static String getBlankString(int len) { + + if (len > 0) { + char[] arr = new char[len]; + Arrays.fill(arr, ' '); + return new String(arr); + } + + return ""; + + } +} diff --git a/simple_examples/source/int32/X03AAJE.java b/simple_examples/source/int32/X03AAJE.java new file mode 100644 index 0000000..b03f1ab --- /dev/null +++ b/simple_examples/source/int32/X03AAJE.java @@ -0,0 +1,87 @@ +import com.nag.routines.X03.X03AA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * X03AAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class X03AAJE{ + + /** + * X03AAJ example main program. + */ + public static void main(String[] args){ + int n = 3; + double c1 = 0, c2 = 0, d1 = 0, d2 = 0; //placeholder + int ifail, isizea, isizeb, istepa, istepb; + boolean sw; + double[] a, b; + + a = new double[n * n]; + b = new double[n]; + + System.out.println("X03AAF Example Program Results"); + System.out.println(); + + if(args.length != 1){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //stored column wise + //a = (-2, -3, 7) + // ( 2, -5, 3) + // (-9, 1, 0) + for(int i = 0; i < n; i++){ + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + for(int j = 0; j < n; j++){ + a[i + (j * n)] = Double.parseDouble(sVal[j + 1]); + } + } + + line = reader.readLine(); + for(int i = 0; i < n; i++){ + String[] sVal = line.split("\\s+"); + b[i] = Double.parseDouble(sVal[i + 1]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + + c1 = 1; + c2 = 0; + isizea = n; + isizeb = n; + istepa = 1; + istepb = 1; + sw = true; + + ifail = 0; + X03AA x03aa = new X03AA(a , isizea, b, isizeb, n, istepa, istepb, c1, c2, d1, d2, sw, ifail); + x03aa.eval(); + + //update + c1 = x03aa.getC1(); + c2 = x03aa.getC2(); + d1 = x03aa.getD1(); + d2 = x03aa.getD2(); + + System.out.printf("D1 = %.1f D2 = %.1f\n", d1, d2); + } +} diff --git a/simple_examples/source/int32/X04CBJE.java b/simple_examples/source/int32/X04CBJE.java new file mode 100644 index 0000000..fa77c3a --- /dev/null +++ b/simple_examples/source/int32/X04CBJE.java @@ -0,0 +1,53 @@ +import com.nag.routines.X04.X04CB; + +/** + * X04CBJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class X04CBJE{ + + /** + * X04CBJ example main program + */ + public static void main(String[] args){ + int nmax = 5, lda = nmax, ifail, indent, ncols; + double[] a; + + a = new double[lda * nmax]; + + String[] clabs = {"Un ", "Deux ", "Trois ", "Quatre ", "Cinq "}; + String[] rlabs = {"Uno ", "Due ", "Tre ", "Quattro", "Cinque "}; + + System.out.println("X04CBJ Example Program Results"); + System.out.println(); + + //generate an array of data + for(int i = 0; i < nmax; i++){ + for(int j = 0; j < lda; j++){ + a[(i * lda) + j] = (double) ((10 * (j + 1)) + i + 1); + } + } + + ncols = 80; + indent = 0; + + //Print 3 by nmax rectangular matrix with default format and integer row and column labels + ifail = 0; + X04CB x04cb = new X04CB("General", " ", 3, nmax, a, lda, " ", "Example 1", "Integer", rlabs, "Integer", + clabs, ncols, indent, ifail); + x04cb.eval(); + System.out.println(); + + //Print nmax by namx upper triangular matrix with user-supplied format and row and column labels + ifail = 0; + x04cb.eval("Upper", "Non-unit", nmax, nmax, a, lda, "F8.2", "Example 2:", "Character", rlabs, "Character", + clabs, ncols, indent, ifail); + System.out.println(); + + //Print 3 by nmax lower triangular matrix in MATLAB format + //Row and column labelling is ignored + ifail = 0; + x04cb.eval("Lower", "Non-unit", 3, nmax, a, lda, "MATLABF8.2", "A", " ", rlabs, " ", clabs, ncols, indent, ifail); + } +} diff --git a/simple_examples/source/int32/X05ABJE.java b/simple_examples/source/int32/X05ABJE.java new file mode 100644 index 0000000..acb3804 --- /dev/null +++ b/simple_examples/source/int32/X05ABJE.java @@ -0,0 +1,25 @@ +import com.nag.routines.X05.X05AB; + +/** + * X05AB example program text. + */ +public class X05ABJE { + + public static void main(String[] args) { + + int[] itime = new int[7]; + + itime[0] = 1789; + itime[1] = 7; + itime[2] = 14; + itime[3] = 13; + itime[4] = 11; + itime[5] = 48; + itime[6] = 320; + + System.out.println(" X05ABJ Example Program Results"); + System.out.println((new X05AB(itime)).eval()); + + } + +} diff --git a/simple_examples/source/int64/A00AAJE.java b/simple_examples/source/int64/A00AAJE.java new file mode 100644 index 0000000..490c163 --- /dev/null +++ b/simple_examples/source/int64/A00AAJE.java @@ -0,0 +1,14 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.A00.A00AA; +import com.nag.routines.Routine; + +public class A00AAJE { + + public static void main (String[] args) throws NAGBadIntegerException { + Routine.init(); + A00AA a00aa = new A00AA(); + System.out.println(" A00AAJ Example Program Results\n"); + a00aa.eval(); + } + +} diff --git a/simple_examples/source/int64/A00ADJE.java b/simple_examples/source/int64/A00ADJE.java new file mode 100644 index 0000000..8250321 --- /dev/null +++ b/simple_examples/source/int64/A00ADJE.java @@ -0,0 +1,113 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.A00.A00AD; +import com.nag.routines.Routine; +import java.util.Arrays; + +public class A00ADJE { + + /* Parameters */ + public static final int MSGLEN = 15; + + /** A00ADJ Example Program */ + public static void main (String[] args) throws NAGBadIntegerException { + /* Local Scalars */ + int i; + long mkmaj, mkmin; + boolean licval; + String fcomp = getBlankString(80), hdware = getBlankString(80), + impl = getBlankString(80), opsys = getBlankString(80), + pcode = getBlankString(80), prec = getBlankString(80), + vend = getBlankString(80); + /* Local Arrays */ + int[] itime = new int[7]; + String[] msg = new String[MSGLEN]; + + // Instantiate arguments + mkmaj = 0; + mkmin = 0; + licval = false; + // Strings must be length expected by Fortran + fcomp = getBlankString(80); + hdware = getBlankString(80); + impl = getBlankString(80); + opsys = getBlankString(80); + pcode = getBlankString(80); + prec = getBlankString(80); + vend = getBlankString(80); + for (i = 0; i < MSGLEN; i++) msg[i] = getBlankString(102); + + Routine.init(); + System.out.println(" A00ADJ Example Program Results\n"); + + A00AD a00ad = new A00AD(); + a00ad.eval(impl, prec, pcode, mkmaj, mkmin, hdware, opsys, fcomp, vend, licval); + impl = a00ad.getIMPL(); + prec = a00ad.getPREC(); + pcode = a00ad.getPCODE(); + mkmaj = a00ad.getMKMAJ(); + mkmin = a00ad.getMKMIN(); + hdware = a00ad.getHDWARE(); + opsys = a00ad.getOPSYS(); + fcomp = a00ad.getFCOMP(); + vend = a00ad.getVEND(); + licval = a00ad.getLICVAL(); + + /* Print implementation details */ + + System.out.println("*** Start of NAG Library implementation details ***"); + System.out.println(); + System.out.println("Implementation title: " + impl.trim()); + System.out.println(" Precision: " + prec.trim()); + System.out.println(" Product code: " + pcode.trim()); + + if (mkmin < 10) { + System.out.printf(" Mark: %2d.%1d\n", mkmaj, mkmin); + } + else { + System.out.printf(" Mark: %2d.%2d\n", mkmaj, mkmin); + } + + if (vend.trim().equals("(self-contained)")) { + System.out.println(" Vendor Library: None"); + } + else { + System.out.println(" Vendor Library: " + vend.trim()); + } + + System.out.println("Applicable to:"); + System.out.println(" hardware: " + hdware.trim()); + System.out.println(" operating system: " + opsys.trim()); + System.out.println(" Fortran compiler: " + fcomp.trim()); + System.out.println("and compatible systems."); + + if (!licval) { + System.out.println(" Licence query: Unsuccessful"); + } + else { + System.out.println(" Licence query: Successful"); + } + + System.out.println(); + System.out.println("*** End of NAG Library implementation details ***"); + + } + + /** + * Returns a new String, filled with spaces to the specified length + * + * @param len the required length of the String + * @returns a String of spaces of the specified length + */ + public static String getBlankString(int len) { + + if (len > 0) { + char[] arr = new char[len]; + Arrays.fill(arr, ' '); + return new String(arr); + } + + return ""; + + } + +} diff --git a/simple_examples/source/int64/C05AYJE.java b/simple_examples/source/int64/C05AYJE.java new file mode 100644 index 0000000..a3bd5f1 --- /dev/null +++ b/simple_examples/source/int64/C05AYJE.java @@ -0,0 +1,45 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.C05.C05AY; +import com.nag.routines.Routine; + + +public class C05AYJE { + + public static void main(String[] args) throws NAGBadIntegerException { + + C05AY c05ay = new C05AY(); + OBJFUN f = new OBJFUN(); + double a = 0.0, b = 1.0, eps = 1.0e-5, eta = 0.0, x = 0.0; + long ifail = 0; + long[] iuser = new long[1]; + double[] ruser = new double[1]; + + System.out.println("C05AYJ Example Program Results"); + System.out.println(); + + Routine.init(); + c05ay.eval(a, b, eps, eta, f, x, iuser, ruser, ifail); + x = c05ay.getX(); + + switch ((int)ifail) { + case 0: + System.out.printf("Zero at x = %12.5f\n", x); + break; + case 2: case 3: + System.out.printf("Final point = %12.5f\n", x); + break; + default: + System.out.println("Unexpected ifail = " + ifail); + } + + } + + private static class OBJFUN extends C05AY.Abstract_C05AY_F { + + public double eval() { + return Math.exp(-X) - X; + } + + } + +} diff --git a/simple_examples/source/int64/C05AZJE.java b/simple_examples/source/int64/C05AZJE.java new file mode 100644 index 0000000..bec1b03 --- /dev/null +++ b/simple_examples/source/int64/C05AZJE.java @@ -0,0 +1,65 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.C05.C05AZ; +import com.nag.routines.Routine; +import java.util.logging.Level; +import java.util.logging.Logger; + +public class C05AZJE { + + public static void main (String[] args)throws NAGBadIntegerException{ + double tolx = 0.00001, x = 0.0, y = 1.0, fx; + long ir = 0, ind = 1, ifail = -1; + double[] c = new double[17]; + boolean keepOn = true; + + Routine.init(); + + C05AZ c05az = new C05AZ(); + fx = fun(x); + int ite = 0; + + System.out.println(" C05AZJ Example Program Results\n"); + System.out.println(" Iterations\n"); + while (keepOn) { + ++ite; + + c05az.eval(x,y,fx,tolx,ir,c,ind,ifail); + + x = c05az.getX(); + y = c05az.getY(); + tolx = c05az.getTOLX(); + ir = c05az.getIR(); + ind = c05az.getIND(); + ifail = c05az.getIFAIL(); + + if(ind == 0){ + keepOn = false; + } + else{ + fx = fun(x); + System.out.printf(" X = %7.5f FX = %11.4E IND = %1d\n", x, fx, ind); + } + } + + + + switch ((int)ifail) { + case 0: + System.out.println("\n Solution\n"); + System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); + break; + case 4: + case 5: + System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); + break; + default: + System.out.printf("Unexpected error ifail=%d\n",ifail); + } + } + + private static double fun(double x) { + double res = (Math.expm1(-x) + 1) - x; + return res; + } + +} diff --git a/simple_examples/source/int64/C05MBJE.java b/simple_examples/source/int64/C05MBJE.java new file mode 100644 index 0000000..08dd454 --- /dev/null +++ b/simple_examples/source/int64/C05MBJE.java @@ -0,0 +1,104 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.Routine; +import com.nag.routines.C05.C05MB; +import com.nag.routines.F06.DNRM2; +import com.nag.routines.X02.X02AJ; + +/** + * C05MBJ Example Program Text + * @author joed + * @since 27.0 + */ + /* ** There have been at least 200*(n+1) calls to fcn. + ** Consider restarting the calculation from the point held in x. + ** ABNORMAL EXIT from NAG Library routine + ** NAG soft failure - control returned +*/ +public class C05MBJE { + + private static final int n = 4; + + private static class FCN extends C05MB.Abstract_C05MB_FCN { + + public void eval() { + + FVEC[0] = Math.cos(X[2]) - X[0]; + FVEC[1] = Math.sqrt(1.0 - Math.pow(X[3],2)) - X[1]; + FVEC[2] = Math.sin(X[0]) - X[2]; + FVEC[3] = Math.pow(X[1], 2) - X[3]; + + // Set iflag negative to terminate execution for any reason + IFLAG = 0; + + return; + + } + + } + + /** + * C05MBJ Example Main Program + */ + public static void main(String[] args) throws NAGBadIntegerException { + + C05MB c05mb = new C05MB(); + DNRM2 dnrm2 = new DNRM2(); + X02AJ x02aj = new X02AJ(); + FCN fcn = new FCN(); + long cpuser; + double atol, cndtol, fnorm, machpr, rtol; + long astart, ifail, m; + int i; + double[] fvec, x; + double[] ruser = new double[1]; + long[] iuser = new long[1]; + + System.out.println("C05MBJ Example Program Results\n"); + + // Initialise NAG for Java + Routine.init(); + + // Get machine precision from X02AJ + machpr = (new X02AJ()).eval(); + + fvec = new double[n]; + x = new double[n]; + + // The following starting values provide a rough solution + x = new double[]{2.0, 0.5, 2.0, 0.5}; + + m = 2; + atol = Math.sqrt(machpr); + rtol = Math.sqrt(machpr); + cndtol = 0.0; + astart = 0; + cpuser = 0; + + ifail = -1; + c05mb.eval(fcn, n, x, fvec, atol, rtol, m, cndtol, astart, iuser, ruser, + cpuser, ifail); + ifail = c05mb.getIFAIL(); + + if (ifail==0 || ifail==8 || ifail==9) { + if (ifail==0) { + // The NAG name equivalent of dnrm2 is f06ej + fnorm = dnrm2.eval(n, fvec, 1); + System.out.println(); + System.out.printf("Final 2-norm of the residuals = %12.4e\n", fnorm); + System.out.println(); + System.out.println("Final approximate solution"); + } + else { + System.out.println(); + System.out.println("Approximate solution"); + } + System.out.println(); + for (i = 1; i <= n; i++) { + System.out.printf("%12.4f", x[i-1]); + } + System.out.printf("\n"); + } + + } + +} diff --git a/simple_examples/source/int64/C05QBJE.java b/simple_examples/source/int64/C05QBJE.java new file mode 100644 index 0000000..d7a6435 --- /dev/null +++ b/simple_examples/source/int64/C05QBJE.java @@ -0,0 +1,178 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.C05.C05QB; +import com.nag.routines.F06.DNRM2; +import com.nag.routines.Routine; +import com.nag.routines.X02.X02AJ; + +/** + * + * @author ludovic + */ +public class C05QBJE { + + /** + * @param args the command line arguments + */ + public static void main(String[] args) throws NAGBadIntegerException { + try { + Routine.init(); + + C05QB c05qb = new C05QB(); + + System.out.println(" C05QBJ Example Program Results"); + + int n = 9, ifail = -1; + + double xtol, fnorm; + + long[] IUSER = new long[1]; + double[] fvec = new double[n]; + double[] x = new double[n]; + double[] RUSER = new double[1]; + + + FCN fcn = new FCN(); + + for (int i = 0; i < n; ++i) { + x[i] = -1.0; + } + + xtol = Math.sqrt((new X02AJ()).eval()); + + c05qb.eval(fcn, n, x, fvec, xtol, IUSER, RUSER, ifail); + + ifail = (int)c05qb.getIFAIL(); + + switch (ifail) { + case (0): + fnorm = (new DNRM2(n, fvec, 1)).eval(); + System.out.println(); + System.out.printf(" Final 2-norm of the residuals = %11.4E\n", fnorm); + System.out.println(); + System.out.println(" Final approximate solution"); + int count = 0; + for (int i = 0; i < n; ++i) { + System.out.printf(" %12.4f", x[i]); + ++count; + if(count == 3){ + System.out.println(); + count = 0; + } + } + break; + case (2): + case (3): + case (4): + System.out.println("Approximate solution"); + count = 0; + for (int i = 0; i < n; ++i) { + System.out.printf(" %12.4f", x[i]); + ++count; + if(count == 3){ + System.out.println(); + count = 0; + } + } + + break; + } + + } catch (NAGBadIntegerException ex) { + System.err.println("Something went wrong!\n" + ex.getMessage()); + } + + + } + + public static class FCN implements C05QB.C05QB_FCN { + + private long N, IFLAG; + private double[] X, FVEC, RUSER; + private long[] IUSER; + + //@Override + public void setN(long N) { + this.N = N; + } + + //@Override + public long getN() { + return N; + } + + //@Override + public void setX(double[] X) { + this.X = X; + } + + //@Override + public double[] getX() { + return X; + } + + //@Override + public void setFVEC(double[] FVEC) { + this.FVEC = FVEC; + } + + //@Override + public double[] getFVEC() { + return FVEC; + } + + //@Override + public void setIUSER(long[] IUSER) { + this.IUSER = IUSER; + } + + //@Override + public long[] getIUSER() { + return IUSER; + } + + //@Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + //@Override + public double[] getRUSER() { + return RUSER; + } + + //@Override + public void setIFLAG(long IFLAG) { + this.IFLAG = IFLAG; + } + + //@Override + public long getIFLAG() { + return IFLAG; + } + + //@Override + public void eval(long N, double[] X, double[] FVEC, long[] IUSER, double[] RUSER, long IFLAG) { + /* + * fvec(1:n) = (3.0_nag_wp-2.0_nag_wp*x(1:n))*x(1:n) + 1.0_nag_wp + * fvec(2:n) = fvec(2:n) - x(1:(n-1)) + * fvec(1:(n-1)) = fvec(1:(n-1)) - 2.0_nag_wp*x(2:n) + */ + for (int i = 0; i < N; ++i) { + FVEC[i] = (3.0 - 2.0 * X[i]) * X[i] + 1.0; + /*if (i >= 1) { + FVEC[i] = FVEC[i] - X[i - 1]; + } + if (i < N - 1) { + FVEC[i] = FVEC[i] - 2.0 * X[i + 1]; + }*/ + } + for(int i=1;i Math.max(epsabs,epsrel*Math.abs(result))) { + System.out.println("Warning - requested accuracy may not have been achieved"); + } + + } + + + public static class D01BDJE_FUN implements D01BD.D01BD_F { + + private double x; + + public double eval(double x) { + return (x * x * Math.sin(10.0 * Math.PI * x)); + } + + public double getX() { + return x; + } + + public void setX(double d) { + x = d; + } + + + } + +} diff --git a/simple_examples/source/int64/D02NEJE.java b/simple_examples/source/int64/D02NEJE.java new file mode 100644 index 0000000..b32ae64 --- /dev/null +++ b/simple_examples/source/int64/D02NEJE.java @@ -0,0 +1,393 @@ +import java.util.Arrays; + +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.Routine; +import com.nag.routines.D02.D02MC; +import com.nag.routines.D02.D02MW; +import com.nag.routines.D02.D02NE; +import com.nag.routines.D02.D02NEZ; +import com.nag.routines.D02.D02NP; + + +/** + * @author joed + */ +public class D02NEJE { + + public static final double ALPHA = 0.04; + public static final double BETA = 1.0E4; + public static final double GAMMA = 3.0E7; + public static final int ML = 1; + public static final int MU = 2; + public static final int NEQ1 = 3; + public static final int NEQ2 = 1; + + public static JAC1 jac1 = new JAC1(); + public static JAC2 jac2 = new JAC2(); + public static RES1 res1 = new RES1(); + public static RES2 res2 = new RES2(); + + public static void main(String[] args) throws NAGBadIntegerException { + + // Initialise wrappers + Routine.init(); + + System.out.println(" D02NEJ Example Program Results"); + + ex1(); + ex2(); + + } + + private static void ex1() { + D02MC d02mc = new D02MC(); + D02MW d02mw = new D02MW(); + D02NE d02ne = new D02NE(); + D02NP d02np = new D02NP(); + double h0, hmax, t, tout; + long ifail, itask, maxord, ijac, itol, licom, neq, lcom; + String jceval; // length 8 + double[] atol, com, rtol, y, ydot, ruser; + long[] icom, iuser; + + ruser = new double[1]; + iuser = new long[3]; + + System.out.println(); + System.out.println(" D02NEF Example 1"); + System.out.println(); + + maxord = 5; + + neq = NEQ1; + lcom = 40 + (maxord + 4) * neq + (2 * ML + MU + 1) * neq + + 2 * (neq / (ML + MU + 1) + 1); + licom = 50 + neq; + + atol = new double[(int)neq]; + com = new double[(int)lcom]; + rtol = new double[(int)neq]; + y = new double[(int)neq]; + ydot = new double[(int)neq]; + icom = new long[(int)licom]; + + ijac = 1; + itol = 1; + Arrays.fill(rtol, 1.0E-3); + Arrays.fill(atol, 1.0E-6); + Arrays.fill(ydot, 0.0); + + // String length = 8 + jceval = (ijac == 1) ? "Analytic" : "Numeric "; + + // Set initial values + y[0] = 1.0; + y[1] = 0.0; + y[2] = 0.0; + + // Initialize the problem, specifying that the Jacobian is to be + // evaluated analytically using the provided routine jac. + hmax = 0.0; + h0 = 0.0; + t = 0.0; + tout = 0.02; + ifail = 0; + d02mw.eval( + neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail + ); + ifail = d02mw.getIFAIL(); + + // Specify that the Jacobian is banded. + ifail = 0; + d02np.eval(neq, ML, MU, icom, licom, ifail); + ifail = d02np.getIFAIL(); + + // Use the iuser array to pass the band dimensions through to jac. + // An alternative would be to hard code values for ml and mu in jac. + iuser[0] = ML; + iuser[1] = MU; + iuser[2] = ijac; + + System.out.printf(" t "); + for (int i = 1; i <= neq; i++) { + System.out.printf(" Y(%1d) ", i); + } + System.out.println(); + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + itask = 0; + + // Obtain the solution at 5 equally spaced values of T. + for (int j = 0; j < 5; j++) { + ifail = -1; + d02ne.eval( + neq, t, tout, y, ydot, rtol, atol, itask, res1, jac1, icom, + com, lcom, iuser, ruser, ifail + ); + itask = d02ne.getITASK(); + ifail = d02ne.getIFAIL(); + t = d02ne.getT(); + + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + if (ifail != 0) { + System.out.printf( + " ** D02NEF returned with IFAIL = %5d\n", ifail + ); + break; + } + + tout += 0.02; + d02mc.eval(icom); + + } + + System.out.println(); + System.out.printf( + " The integrator completed task, ITASK = %4d\n", itask + ); + + } + + private static void ex2() { + D02MC d02mc = new D02MC(); + D02MW d02mw = new D02MW(); + D02NE d02ne = new D02NE(); + double h0, hmax, t, tout; + long ifail, ijac, itask, itol, lcom, licom, maxord, neq; + String jceval; // length 8 + double[] atol, com, rtol, y, ydot, ruser; + long[] icom, iuser; + + ruser = new double[1]; + iuser = new long[1]; + + System.out.println(); + System.out.println(" D02NEF Example 2"); + System.out.println(); + + maxord = 5; + neq = NEQ2; + lcom = 40 + (maxord + 4) * neq + neq * neq; + licom = 50 + neq; + + atol = new double[(int)neq]; + com = new double[(int)lcom]; + rtol = new double[(int)neq]; + y = new double[(int)neq]; + ydot = new double[(int)neq]; + icom = new long[(int)licom]; + + ijac = 1; + itol = 1; + rtol[0] = 0.0; + atol[0] = 1.0E-8; + ydot[0] = 0.0; + + // String length = 8 + jceval = (ijac == 1) ? "Analytic" : "Numeric "; + + // Initialize the problem, specifying that the Jacobian is to be + // evaluated analytically using the provided routine jac. + y[0] = 2.0; + hmax = 0.0; + h0 = 0.0; + t = 0.0; + tout = 0.2; + + ifail = 0; + d02mw.eval( + neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail + ); + ifail = d02mw.getIFAIL(); + + // Use the iuser array to pass whether numerical or analytic Jacobian + // is to be used. + iuser[0] = ijac; + + System.out.printf(" t "); + for (int i = 1; i <= neq; i++) { + System.out.printf(" y(%1d) ", i); + } + System.out.println(); + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + itask = 0; + + for (int j = 0; j < 5; j++) { + ifail = -1; + d02ne.eval( + neq, t, tout, y, ydot, rtol, atol, itask, res2, jac2, icom, + com, lcom, iuser, ruser, ifail + ); + itask = d02ne.getITASK(); + ifail = d02ne.getIFAIL(); + t = d02ne.getT(); + + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + if (ifail != 0) { + System.out.printf( + " ** D02NEF returned with IFAIL = %5d\n", ifail + ); + break; + } + + tout += 0.2; + d02mc.eval(icom); + + } + + System.out.println(); + System.out.printf( + " The integrator completed task, ITASK = %4d\n", itask + ); + + } + + /** + * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based + * Java index. + * + * Fortran array definition: + * a(dimX, *) + * + * Conversion: + * a(x, y) --> A[result] + */ + private static long getIdx(long x, long y, long dimX) { + return ((y-1) * dimX) + (x-1); + } + + public static class RES1 extends D02NE.Abstract_D02NE_RES { + + public void eval() { + + this.R[0] = -(ALPHA * this.Y[0]) + (BETA * this.Y[1] * this.Y[2]) + - this.YDOT[0]; + this.R[1] = (ALPHA * this.Y[0]) - (BETA * this.Y[1] * this.Y[2]) + - (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[1]; + this.R[2] = (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[2]; + + } + + } + + public static class JAC1 extends D02NE.Abstract_D02NE_JAC { + + private double[] myjac1( + long neq, long ml, long mu, double t, double[] y, double[] ydot, + double[] pd, double cj + ) { + + long md, ms, pd_dim1; + + pd_dim1 = (2 * ml) + mu + 1; + + // Main diagonal pdfull(i,i), i=1, neq + md = mu + ml + 1; + pd[(int)getIdx(md, 1, pd_dim1)] = -ALPHA - cj; + pd[(int)getIdx(md, 2, pd_dim1)] = (-BETA * y[2]) - (2.0 * GAMMA * y[1]) + - cj; + pd[(int)getIdx(md, 3, pd_dim1)] = -cj; + + // 1 subdiagonal pdfull(i-1,i), i=2, neq + ms = md + 1; + pd[(int)getIdx(ms, 1, pd_dim1)] = ALPHA; + pd[(int)getIdx(ms, 2, pd_dim1)] = 2.0 * GAMMA * y[1]; + + // First superdiagonal pdfull(i-1,i), i=2, neq + ms = md - 1; + pd[(int)getIdx(ms, 2, pd_dim1)] = BETA * y[2]; + pd[(int)getIdx(ms, 3, pd_dim1)] = -BETA * y[1]; + + // Second superdiagonal pdfull(i-2,i), i=3, neq + ms = md - 2; + pd[(int)getIdx(ms, 3, pd_dim1)] = BETA * y[1]; + + return pd; + + } + + public void eval() { + D02NEZ d02nez = new D02NEZ(); + long ijac, ml, mu; + + ml = this.IUSER[0]; + mu = this.IUSER[1]; + ijac = this.IUSER[2]; + + if (ijac == 1) { + myjac1( + this.NEQ, ml, mu, this.T, this.Y, this.YDOT, this.PD, + this.CJ + ); + } + else { + d02nez.eval( + this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, + this.IUSER, this.RUSER + ); + } + + } + + } + + public static class RES2 extends D02NE.Abstract_D02NE_RES { + + public void eval() { + this.R[0] = 4.0 - Math.pow(this.Y[0], 2.0) + + (this.T * 0.1E0 * Math.exp(this.Y[0])); + } + + } + + public static class JAC2 extends D02NE.Abstract_D02NE_JAC { + + private void myjac2( + long neq, double t, double[] y, double[] ydot, double[] pd, + double cj + ) { + + pd[0] = -(2.0 * y[0]) + (0.1E0 * t * y[0] * Math.exp(y[0])); + + } + + public void eval() { + D02NEZ d02nez = new D02NEZ(); + long ijac; + + ijac = this.IUSER[0]; + + if (ijac == 1) { + myjac2(this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ); + } + else { + d02nez.eval( + this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, + this.IUSER, this.RUSER + ); + } + + } + + } + +} diff --git a/simple_examples/source/int64/DTFSMJE.java b/simple_examples/source/int64/DTFSMJE.java new file mode 100644 index 0000000..d1feabb --- /dev/null +++ b/simple_examples/source/int64/DTFSMJE.java @@ -0,0 +1,61 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.F01.DTRTTF; +import com.nag.routines.F06.DTFSM; +import com.nag.routines.X04.X04CA; +import com.nag.routines.Routine; + +/** + * Adapted from f06wbfe.f90 + * + * @author joed + * + */ +public class DTFSMJE { + + public static void main(String[] args) throws NAGBadIntegerException { + + double alpha = 4.21; + long ifail = 0, info = 0, m = 6, n = 4; + String side = "L", trans = "N", transr = "N", uplo = "L"; + + // Init NAG Java + DTFSM dtfsm = new DTFSM(); + DTRTTF dtrttf = new DTRTTF(); + X04CA x04ca = new X04CA(); + Routine.init(); + + System.out.println(" DTFSMJ Example Program Results\n"); + + // Set lower triangle of matrix A + double[] a = new double[(int)(m*m)]; + for (int i=0; i=i) ? j+1 : 0; + } + } + + // Set matrix B + double[] b = new double[] { + 3.22, 1.64, 1.87, 5.20, 1.83, -1.10, + 1.37, 1.80, 2.87, -2.99, -2.71, -0.63, + 2.31, 0.38, 2.02, -0.91, -2.81, -0.50, + 0.29, -1.52, -0.80, -3.87, -1.13, 0.81 + }; + + // Convert A to rectangular full packed storage in ar + double[] ar = new double[((int)(m*(m+1)))/2]; + info = 0; + dtrttf.eval(transr, uplo, m, a, m, ar, info); + info = dtrttf.getINFO(); + + // Perform the matrix-matrix operation + dtfsm.eval(transr, side, uplo, trans, "N", m, n, alpha, ar, b, m); + + // Print result + ifail = 0; + x04ca.eval("General", " ", m, n, b, m, "The Solution", ifail); + ifail = x04ca.getIFAIL(); + + } + +} diff --git a/simple_examples/source/int64/E01DAJE.java b/simple_examples/source/int64/E01DAJE.java new file mode 100644 index 0000000..89a89e4 --- /dev/null +++ b/simple_examples/source/int64/E01DAJE.java @@ -0,0 +1,177 @@ +/* + * E01DA Example Program - NAG Copyright 2016 + */ + import com.nag.exceptions.NAGBadIntegerException; + import com.nag.routines.E01.E01DA; + import com.nag.routines.E02.E02DF; + import com.nag.routines.Routine; + +public class E01DAJE { + + public static void main (String[] args)throws NAGBadIntegerException { + Routine.init(); + + int mx = 7, my = 6, ifail = -1; + double[] x = new double[mx]; + double[] y = new double[my]; + double[] f = new double[mx*my]; + double[] lamda = new double[mx+4]; + double[] mu = new double[my+4]; + double[] c = new double[mx*my]; + double[] wrk = new double[(mx+6)*(my+6)]; + + int nx = 6, ny = 6, px = 0, py = 0; + double xlo = 1.0, xhi = 2.0; + double ylo = 0.0, yhi = 1.0; + + E01DA e01da = new E01DA(); + + // Input X, Y and function values on X-Y grid + x[0] = 1.00; + x[1] = 1.10; + x[2] = 1.30; + x[3] = 1.50; + x[4] = 1.60; + x[5] = 1.80; + x[6] = 2.00; + + y[0] = 0.00; + y[1] = 0.10; + y[2] = 0.40; + y[3] = 0.70; + y[4] = 0.90; + y[5] = 1.00; + + // On entry: F[my*(q-1)+r-1] must contain f(q,r), for q=1,2,...,mx + // and r=1,2,...,my. + f[0] = 1.00; + f[1] = 1.10; + f[2] = 1.40; + f[3] = 1.70; + f[4] = 1.90; + f[5] = 2.00; + f[6] = 1.21; + f[7] = 1.31; + f[8] = 1.61; + f[9] = 1.91; + f[10] = 2.11; + f[11] = 2.21; + f[12] = 1.69; + f[13] = 1.79; + f[14] = 2.09; + f[15] = 2.39; + f[16] = 2.59; + f[17] = 2.69; + f[18] = 2.25; + f[19] = 2.35; + f[20] = 2.65; + f[21] = 2.95; + f[22] = 3.15; + f[23] = 3.25; + f[24] = 2.56; + f[25] = 2.66; + f[26] = 2.96; + f[27] = 3.26; + f[28] = 3.46; + f[29] = 3.56; + f[30] = 3.24; + f[31] = 3.34; + f[32] = 3.64; + f[33] = 3.94; + f[34] = 4.14; + f[35] = 4.24; + f[36] = 4.00; + f[37] = 4.10; + f[38] = 4.40; + f[39] = 4.70; + f[40] = 4.90; + f[41] = 5.00; + + System.out.printf(" E01DAJ Example Program Results\n\n"); + e01da.eval(mx, my, x, y, f, px, py, lamda, mu, c, wrk, ifail); + + ifail = (int)e01da.getIFAIL(); + switch (ifail) + { + case 0: + System.out.printf(" I Knot LAMDA(I) J Knot MU(j)\n"); + for (int i = 3; i <= Math.max(mx,my); ++i) + { + if (i <= mx) + System.out.printf("%4d %9.4f", i+1, lamda[i]); + else + System.out.printf(" "); + if (i <= my) + System.out.printf("%8d %9.4f\n", i+1, mu[i]); + else + System.out.printf("\n"); + } + System.out.printf("\n The B-Spline coefficients:\n"); + for (int i = 0; i < mx*my; ++i) + { + System.out.printf("%9.4f", c[i]); + if ((i+1)%8 == 0) + System.out.printf("\n"); + } + System.out.printf("\n"); + break; + default: + System.out.printf("\n Error detected by E01DA: %d\n", ifail); + } + + /* Evaluate the spline on a regular rectangular grid at nx*ny points + over the domain [xlo,xhi] x [ylo,yhi]. */ + px = (int)e01da.getPX(); + py = (int)e01da.getPY(); + int liwrk; + int lwrk = Math.min(4*nx+px,4*ny+py); + if (4*nx+px>4*ny+py) + liwrk = ny + py - 4; + else + liwrk = nx + px - 4; + double tx[] = new double[nx]; + double ty[] = new double[ny]; + double ff[] = new double[nx*ny]; + wrk = new double[lwrk]; + long iwrk[] = new long[liwrk]; + + /* Generate nx/ny equispaced x/y co-ordinates */ + double step = (xhi-xlo)/(nx-1); + tx[0] = xlo; + for (int i = 1; i 0) ? datafile.n : 1; + + // This particular example problem is of type QP2 with H stored explicitly, + // so we allocate CVEC(N) and H(LDH,N), and define LDH and LWORK as below + ldh = datafile.n; + + if (datafile.nclin > 0) { + lwork = 2 * datafile.n * datafile.n + 8 * datafile.n + 5 * datafile.nclin; + } + else { + lwork = datafile.n * datafile.n + 8 * datafile.n; + } + + istate = new long[(int)(datafile.n + datafile.nclin)]; + ax = new double[(int)Math.max(1, datafile.nclin)]; + iwork = new long[(int)liwork]; + // h, bl, bu, cvec, x, a: already read from data file + clamda = new double[(int)(datafile.n + datafile.nclin)]; + work = new double[(int)lwork]; + + // Init routine + E04WB e04wb = new E04WB(); + long lcwsav = 1, liwsav = 610, llwsav = 120, lrwsav = 475; + String[] cwsav = new String[(int)lcwsav]; + cwsav[0] = " "; + long[] iwsav = new long[(int)liwsav]; + boolean[] lwsav = new boolean[(int)llwsav]; + double[] rwsav = new double[(int)lrwsav]; + ifail = 0; + e04wb.eval("E04NFA", cwsav, lcwsav, lwsav, llwsav, iwsav, liwsav, rwsav, lrwsav, ifail); + + // Set print level to match E04NFF example output + E04NH e04nh = new E04NH(); + int inform = 0; + e04nh.eval("Print Level = 10", lwsav, iwsav, rwsav, inform); + + // Solve the problem + E04NF e04nf = new E04NF(); + double[] ruser = new double[1]; + long[] iuser = new long[1]; + iter = 0; + obj = Double.NaN; + ifail = 0; + e04nf.eval(datafile.n, datafile.nclin, datafile.a, datafile.lda, datafile.bl, + datafile.bu, datafile.cvec, datafile.h, datafile.ldh, new QPHESS(), istate, + datafile.x, iter, obj, ax, clamda, iwork, liwork, work, lwork, + iuser, ruser, lwsav, iwsav, rwsav, ifail); + + ifail = e04nf.getIFAIL(); + + } catch (Exception ex) { + Logger.getLogger(E04NFJE.class.getName()).log(Level.SEVERE, null, ex); + } + + } + + /** Using E54NFU as a default */ + public static class QPHESS extends E54NFU implements E04NF.E04NF_QPHESS { + + public void eval() { + + super.eval(); + + } + + } + + public static class DataFile { + + public String filename; + public long n, nclin, lda, sda, ldh; + public double[] cvec, a, bl, bu, x, h; + + public DataFile(String filename) { + this.filename = filename; + } + + public void read() throws FileNotFoundException, IOException { + BufferedReader dataIn = new BufferedReader(new FileReader(filename)); + String line = dataIn.readLine(); // skipping header + line = dataIn.readLine().trim(); + String[] lines = line.split(":");//removing comments + String[] dataLine = lines[0].split("\\s+"); + if (dataLine.length != 2) { + System.err.println("Something went wrong when reading the data file - can't read n and nclin!"); + System.exit(1); + } + n = Integer.parseInt(dataLine[0]); + nclin = Integer.parseInt(dataLine[1]); + + lda = Math.max(1, nclin); + + if (nclin > 0) { + sda = n; + } else { + sda = 1; + + } + ldh = n; + + cvec = new double[(int)n]; + a = new double[(int)(lda * sda)]; + bl = new double[(int)(n + nclin)]; + bu = new double[(int)(n + nclin)]; + x = new double[(int)n]; + h = new double[(int)(ldh * n)]; + + //reading cvec + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file - not enought or too many data for cvec"); + System.exit(1); + } + + for (int i = 0; i < n; ++i) { + cvec[i] = Double.parseDouble(dataLine[i].trim().replaceAll("D", "E")); + } + + //reading a + for (int i = 0; i < lda; ++i) { + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != sda) { + System.err.println("Something went wrong when reading the data file - not enought or too many data for a"); + System.exit(1); + } + for (int j = 0; j < sda; ++j) { + a[(int)(i + j * lda)] = Double.parseDouble(dataLine[j].trim().replaceAll("D", "E")); + } + } + + //reading bl + //it's on two lines in the data file, so we need to merge them + line = dataIn.readLine().trim().split(":")[0].trim() + " " + dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n + nclin) { + System.err.println("Something went wrong when reading the data file - not enought or too many data for bl"); + System.exit(1); + } + for (int i = 0; i < n + nclin; ++i) { + bl[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + //reading bu + //it's on two lines in the data file, so we need to merge them + line = dataIn.readLine().trim().split(":")[0].trim() + " " + dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n + nclin) { + System.err.println("Something went wrong when reading the data file - not enought or too many data for bu"); + System.exit(1); + } + for (int i = 0; i < n + nclin; ++i) { + bu[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file - not enought or too many data for x"); + System.exit(1); + } + for (int i = 0; i < n; ++i) { + x[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + for (int i = 0; i < ldh; ++i) { + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file - not enought or too many data for h at line " + i); + System.exit(1); + } + for (int j = 0; j < n; ++j) { + h[(int)(i + j * ldh)] = Double.parseDouble(dataLine[j].replaceAll("D", "E")); + } + } + + + } + } + +} diff --git a/simple_examples/source/int64/E04UCJE.java b/simple_examples/source/int64/E04UCJE.java new file mode 100644 index 0000000..20ad573 --- /dev/null +++ b/simple_examples/source/int64/E04UCJE.java @@ -0,0 +1,207 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.E04.E04UC; +import com.nag.routines.E04.E04WB; +import com.nag.routines.F06.DGEMV; +import com.nag.routines.Routine; +import java.util.Arrays; + +/** + * @author joed + */ +public class E04UCJE { + + public static final double ONE = 1.0, ZERO = 0.0; + public static final long INC1 = 1, LCWSAV = 1, LIWSAV = 610, LLWSAV = 120, LRWSAV = 475; + public static CONFUN confun = new CONFUN(); + public static OBJFUN objfun = new OBJFUN(); + + public static void main(String[] args) throws NAGBadIntegerException { + /* Local Scalars */ + double objf; + long i, ifail, iter, j, lda, ldcj, ldr, liwork, lwork, n, nclin, ncnln, sda, sdcjac; + /* Local Arrays */ + double[] a, bl, bu, c, cjac, clamda, objgrd, r, work, x; + double[] ruser = new double[1], rwsav = new double[(int)LRWSAV]; + long[] istate, iwork; + long[] iuser = new long[1], iwsav = new long[(int)LIWSAV]; + boolean[] lwsav = new boolean[(int)LLWSAV]; + String[] cwsav = new String[(int)LCWSAV]; + Arrays.fill(cwsav, " "); + + System.out.println(" E04UCJ Example Program Results"); + Routine.init(); + + /* Set scalars */ + n = 4; + nclin = 1; + ncnln = 2; + liwork = 3*n + nclin + 2*ncnln; + lda = Math.max(1, nclin); + sda = (nclin > 0) ? n : 1; + ldcj = Math.max(1, ncnln); + sdcjac = (ncnln > 0) ? n : 1; + ldr = n; + + if (ncnln == 0 && nclin > 0) { + lwork = 2*n*n + 20*n + 11*nclin; + } + else if (ncnln > 0 && nclin >= 0) { + lwork = 2*n*n + n*nclin + 2*n*ncnln + 20*n + 11*nclin + 21*ncnln; + } + else { + lwork = 20*n; + } + + /* Set arrays */ + istate = new long[(int)(n + nclin + ncnln)]; + iwork = new long[(int)liwork]; + c = new double[(int)(Math.max(1, ncnln))]; + cjac = new double[(int)(ldcj * sdcjac)]; + clamda = new double[(int)(n + nclin + ncnln)]; + objgrd = new double[(int)n]; + r = new double[(int)(ldr * n)]; + work = new double[(int)lwork]; + + a = new double[]{1.0, 1.0, 1.0, 1.0}; + bl = new double[]{1.0, 1.0, 1.0, 1.0, -1.0E+25, -1.0E+25, 25.0}; + bu = new double[]{5.0, 5.0, 5.0, 5.0, 20.0, 40.0, 1.0E+25}; + x = new double[]{1.0, 5.0, 5.0, 1.0}; + + /* Initialise E04UC */ + E04WB e04wb = new E04WB(); + ifail = 0; + e04wb.eval("E04UCA", cwsav, LCWSAV, lwsav, LLWSAV, iwsav, LIWSAV, rwsav, LRWSAV, ifail); + + /* Solve the problem */ + E04UC e04uc = new E04UC(); + iter = 0; + objf = 0.0; + ifail = -1; + e04uc.eval(n, nclin, ncnln, lda, ldcj, ldr, a, bl, bu, confun, objfun, iter, istate, c, + cjac, clamda, objf, objgrd, r, x, iwork, liwork, work, lwork, iuser, ruser, + lwsav, iwsav, rwsav, ifail); + iter = e04uc.getITER(); + objf = e04uc.getOBJF(); + ifail = e04uc.getIFAIL(); + + if ((0 >= ifail && ifail <= 6) || ifail == 8) { + System.out.println(); + System.out.println(" Varbl Istate Value Lagr Mult"); + System.out.println(); + + for (i = 0; i < n; i++) { + System.out.printf(" V %3d %3d %13.6G %13.4G\n", i+1, istate[(int)i], x[(int)i], clamda[(int)i]); + } + + if (nclin > 0) { + + /* A*x --> work. + * The NAG name equivalent of DGEMV is F06PA */ + DGEMV dgemv = new DGEMV(); + dgemv.eval("N", nclin, n, ONE, a, lda, x, INC1, ZERO, work, INC1); + + System.out.println(); + System.out.println(); + System.out.println(" L Con Istate Value Lagr Mult"); + System.out.println(); + + for (i = n; i < n+nclin; i++) { + j = i - n; + System.out.printf(" L %3d %3d %13.6G %13.4G\n", j+1, istate[(int)i], work[(int)j], clamda[(int)i]); + } + + } + + if (ncnln > 0) { + System.out.println(); + System.out.println(); + System.out.println(" N Con Istate Value Lagr Mult"); + System.out.println(); + + for (i = n+nclin; i < n+nclin+ncnln; i++) { + j = i - n - nclin; + System.out.printf(" N %3d %3d %13.6G %13.4G\n", j+1, istate[(int)i], c[(int)j], clamda[(int)i]); + } + + } + + System.out.println(); + System.out.println(); + System.out.printf(" Final objective value = %11.7G\n", objf); + + } + + } + + /** Routine to evaluate objective function and its 1st derivatives */ + public static class OBJFUN extends E04UC.Abstract_E04UC_OBJFUN { + + public void eval() { + + if (MODE == 0 || MODE == 2) { + OBJF = X[0] * X[3] * (X[0]+X[1]+X[2]) + X[2]; + } + + if (MODE == 1 || MODE == 2) { + OBJGRD[0] = X[3] * (X[0]+X[0]+X[1]+X[2]); + OBJGRD[1] = X[0] * X[3]; + OBJGRD[2] = X[0] * X[3] + ONE; + OBJGRD[3] = X[0] * (X[0]+X[1]+X[2]); + } + + } + + } + + /** Routine to evaluate the nonlinear constraints and their 1st derivatives */ + public static class CONFUN extends E04UC.Abstract_E04UC_CONFUN { + + public void eval() { + + if (NSTATE == 1) { + + /* First call to CONFUN. Set all Jacobian elements to zero. + * Note that this will only work when 'Derivative Level = 3' + * (the default; see Section 11.2). */ + + for (int i = 0; i < CJAC.length; ++i) { + CJAC[i] = 0; + } + + } + + if (NEEDC[0] > 0) { + + if (MODE == 0 || MODE == 2) { + C[0] = X[0]*X[0] + X[1]*X[1] + X[2]*X[2] + X[3]*X[3]; + } + + if (MODE == 1 || MODE == 2) { + CJAC[0] = X[0] + X[0]; + CJAC[(int)LDCJ] = X[1] + X[1]; + CJAC[(int)(2*LDCJ)] = X[2] + X[2]; + CJAC[(int)(3*LDCJ)] = X[3] + X[3]; + } + + } + + if (NEEDC[1]>0) { + + if (MODE == 0 || MODE == 2) { + C[1] = X[0]*X[1]*X[2]*X[3]; + } + + if (MODE == 1 || MODE == 2) { + CJAC[1] = X[1]*X[2]*X[3]; + CJAC[(int)(1+LDCJ)] = X[0]*X[2]*X[3]; + CJAC[(int)(1+2*LDCJ)] = X[0]*X[1]*X[3]; + CJAC[(int)(1+3*LDCJ)] = X[0]*X[1]*X[2]; + } + + } + + } + + } + +} diff --git a/simple_examples/source/int64/F02EKJE.java b/simple_examples/source/int64/F02EKJE.java new file mode 100644 index 0000000..d8f152c --- /dev/null +++ b/simple_examples/source/int64/F02EKJE.java @@ -0,0 +1,230 @@ +emacimport java.util.Arrays; + +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.F02.F02EK; +import com.nag.routines.F12.F12AD; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.Routine; +import com.nag.types.*; + + +/** + * @author joed + */ +public class F02EKJE { + + public static MYMONIT mymonit = new MYMONIT(); + public static MYOPTION myoption = new MYOPTION(); + + public static void main(String[] args) throws NAGBadIntegerException { + F02EK f02ek = new F02EK(); + X02AJ x02aj = new X02AJ(); + double h, rho, s, sigma; + int ifail, imon, k, ldv, maxit, mode, n, nconv, ncv, nev, nnz, nx, + prtlvl; + NAGComplex complex = new NAGComplex(); + double[] a, resid, v, ruser = new double[1]; + int[] icolzp, irowix, iuser = new int[4]; + NAGComplex[] w; + + // Initialise wrapper library + Routine.init(); + Routine.setComplex(complex); + + System.out.println(" F02EKJ Example Program Results"); + System.out.println(); + + nx = 10; + nev = 4; + ncv = 20; + rho = 10.0; + sigma = 5.5; + + n = nx * nx; + nnz = 3*n - 2; + ldv = n; + + resid = new double[ncv]; + a = new double[nnz]; + icolzp = new int[n + 1]; + irowix = new int[nnz]; + w = (NAGComplex[]) complex.getArrayOfInstances(ncv); + v = new double[ldv * ncv]; + + // Construct A in compressed column storage (CCS) format where: + // A{ i , i } = 2 + i + // A{i+1, i } = 3 + // A{ i , i+1} = rho/(2n+2) - 1 + + h = 1.0 / (double)(n+1); + s = (rho * h / 2.0) - 1.0; + + a[0] = 2.0 + 1.0; + a[1] = 3.0; + icolzp[0] = 1; + irowix[0] = 1; + irowix[1] = 2; + k = 3; + + for (int i = 1; i < n - 1; i++) { + icolzp[i] = k; + irowix[k - 1] = i; + irowix[k] = i + 1; + irowix[k + 1] = i + 2; + a[k - 1] = s; + a[k] = 2.0 + (double)(i + 1); + a[k + 1] = 3.0; + k += 3; + } + + icolzp[n - 1] = k; + icolzp[n] = k + 2; + irowix[k - 1] = n - 1; + irowix[k] = n; + a[k - 1] = s; + a[k] = 2.0 + (double)(n); + + // Set some options via iuser array and return routine argument OPTION + // iuser[0] = print level + // iuser[1] = iteration limit + // iuser[2] > 0 means shifted-invert mode + // iuser[3] > 0 means print monitoring info + + prtlvl = 0; + maxit = 500; + mode = 1; + imon = 1; + + if (prtlvl > 0) { + imon = 0; + } + + iuser[0] = prtlvl; + iuser[1] = maxit; + iuser[2] = mode; + iuser[3] = imon; + + nconv = 0; // placeholder value, nconv is output only + ifail = 0; // hard exit on error + + f02ek.eval( + n, nnz, a, icolzp, irowix, nev, ncv, sigma, mymonit, myoption, + nconv, w, v, ldv, resid, iuser, ruser, ifail + ); + ifail = f02ek.getIFAIL(); + nconv = f02ek.getNCONV(); + + System.out.println(); + System.out.printf( + " The %4d Ritz values of closest to %13.5E are:\n", nconv, sigma + ); + + // Get machine precision + double mp = x02aj.eval(); + + for (int i = 0; i < nconv; i++) { + if (resid[i] > (double)(100*n*mp)) { + System.out.printf( + " %8d ( %13.5E , %13.5E ) %13.5E\n", + i + 1, w[i], resid[i] + ); + } + else { + System.out.printf( + " %8d ( %13.5E , %13.5E )\n", + i + 1, w[i].getRe(), w[i].getIm() + ); + } + } + + } + + public static class MYOPTION extends F02EK.Abstract_F02EK_OPTION { + + public void eval() { + F12AD f12ad = new F12AD(); + int ifail1; + String rec = " "; + + this.ISTAT = 0; + + if (this.IUSER[0] > 0) { + System.out.printf("Print Level=%5d\n", this.IUSER[0]); + ifail1 = 1; + f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[1] > 100) { + System.out.printf("Iteration Limit=%5d\n", this.IUSER[1]); + ifail1 = 1; + f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[2] > 0) { + ifail1 = 1; + f12ad.eval ( + "Shifted Inverse Real ", this.ICOMM, this.COMM, ifail1 + ); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + } + + } + + public static class MYMONIT extends F02EK.Abstract_F02EK_MONIT { + + public NAGComplexInterface[] getW(){ + return this.W; + } + + public void eval() { + + if (this.IUSER[3] > 0) { + + if (this.NITER == 1 && this.IUSER[2] > 0) { + System.out.printf( + " Arnoldi basis vectors used:%4d\n", this.NCV + ); + System.out.printf( + " The following Ritz values (mu) are related to the\n" + + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" + ); + } + + System.out.println(); + System.out.printf(" Iteration number %4d\n", this.NITER); + System.out.printf( + " Ritz values converged so far (%4d) and their Ritz" + + " estimates:\n", this.NCONV + ); + + for (int i = 0; i < this.NCONV; i++) { + System.out.printf( + " %4d (%13.5E,%13.5E) %13.5E\n", + i + 1, this.W[i].getRe(), this.W[i].getIm(), + this.RZEST[i] + ); + } + + System.out.printf(" Next (unconverged) Ritz value:\n"); + + System.out.printf( + " %4d (%13.5E,%13.5E)\n", + this.NCONV + 1, this.W[NCONV].getRe(), this.W[NCONV].getIm() + ); + + } + + this.ISTAT = 0; + + } + + } + +} diff --git a/simple_examples/source/withdrawn/D02TKJE.java b/simple_examples/source/withdrawn/D02TKJE.java new file mode 100644 index 0000000..16e9e9b --- /dev/null +++ b/simple_examples/source/withdrawn/D02TKJE.java @@ -0,0 +1,290 @@ +import java.util.Arrays; + +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.D02.D02TK; +import com.nag.routines.D02.D02TV; +import com.nag.routines.D02.D02TX; +import com.nag.routines.D02.D02TY; +import com.nag.routines.D02.D02TZ; +import com.nag.routines.Routine; + + +/** + * @author joed + */ +public class D02TKJE { + + public static final int MMAX = 3, NEQ = 3, NLBC = 3, NRBC = 3; + + public static double omega, sqrofr; + public static int[] m = {1, 3, 2}; + + public static FFUN ffun = new FFUN(); + public static FJAC fjac = new FJAC(); + public static GAFUN gafun = new GAFUN(); + public static GAJAC gajac = new GAJAC(); + public static GBFUN gbfun = new GBFUN(); + public static GBJAC gbjac = new GBJAC(); + public static GUESS guess = new GUESS(); + + public static void main(String[] args) throws NAGBadIntegerException { + D02TK d02tk = new D02TK(); + D02TV d02tv = new D02TV(); + D02TX d02tx = new D02TX(); + D02TY d02ty = new D02TY(); + D02TZ d02tz = new D02TZ(); + double dx, ermx, r; + int iermx, ifail, ijermx, licomm, lrcomm, mxmesh, ncol, ncont, nmesh; + double[] mesh, tol, work, y; + int[] icomm, ipmesh; + + // Initialise wrappers + Routine.init(); + + System.out.println(" D02TKJ Example Program Results"); + System.out.println(); + + // Values from d02tkfe.d + ncol = 7; + nmesh = 11; + mxmesh = 51; + + licomm = 23 + NEQ + mxmesh; + lrcomm = mxmesh * (109 * (int)Math.pow(NEQ, 2) + 78 * NEQ + 7); + + mesh = new double[mxmesh]; + tol = new double[NEQ]; + work = new double[lrcomm]; + y = new double[NEQ * MMAX]; + ipmesh = new int[mxmesh]; + icomm = new int[licomm]; + + // Values from d02tkfe.d + omega = 1.0; + Arrays.fill(tol, 1.0E-4); + + dx = 1.0 / ((double) nmesh - 1); + + mesh[0] = 0.0; + for (int i = 1; i < nmesh - 1; i++) { + mesh[i] = mesh[i - 1] + dx; + } + mesh[nmesh - 1] = 1.0; + + ipmesh[0] = 1; + Arrays.fill(ipmesh, 1, nmesh - 1, 2); + ipmesh[nmesh - 1] = 1; + + // Initial integrator for given problem. + ifail = 0; + d02tv.eval( + NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, work, + lrcomm, icomm, licomm, ifail + ); + + // Values from d02tkfe.d + ncont = 3; + r = 1.0E6; + + sqrofr = Math.sqrt(r); + + ermx = 0.0; + iermx = 0; + ijermx = 0; + + for (int j = 0; j < ncont; j++) { + System.out.printf("\n Tolerance = %8.1E R = %10.3E\n", tol[0], r); + + // Solve problem + ifail = -1; + d02tk.eval( + ffun, fjac, gafun, gbfun, gajac, gbjac, guess, work, icomm, + ifail + ); + ifail = d02tk.getIFAIL(); + if (ifail == 1) break; + + // Extract mesh + ifail = -1; + d02tz.eval( + mxmesh, nmesh, mesh, ipmesh, ermx, iermx, ijermx, work, icomm, + ifail + ); + nmesh = d02tz.getNMESH(); + iermx = d02tz.getIERMX(); + ijermx = d02tz.getIJERMX(); + ermx = d02tz.getERMX(); + ifail = d02tz.getIFAIL(); + if (ifail == 1) break; + + // Print mesh, error stats + System.out.printf( + "\n" + + " Used a mesh of %4d points\n" + + " Maximum error = %10.2E in interval %4d for component %4d\n" + + "\n", + nmesh, ermx, iermx, ijermx + ); + System.out.printf("\n Mesh points:\n"); + for (int i = 0; i < nmesh; i++) { + System.out.printf("%4d(%1d)%10.3E", i+1, ipmesh[i], mesh[i]); + if ((i+1) % 4 == 0) System.out.printf("\n"); + } + System.out.printf("\n"); + + // Print solution components on mesh + System.out.printf("\n x f f\' g\n"); + for (int i = 0; i < nmesh; i++) { + ifail = 0; + d02ty.eval(mesh[i], y, NEQ, MMAX, work, icomm, ifail); + ifail = d02ty.getIFAIL(); + if (ifail != 0) { + System.err.println( + "D02TY failed with error code " + ifail + ); + break; + } + System.out.printf( + " %8.3f %9.4f%9.4f%9.4f\n", mesh[i], y[getIdx(1, 0, NEQ)], + y[getIdx(2, 0, NEQ)], y[getIdx(3, 0, NEQ)] + ); + } + + if (j == ncont - 1) break; + + // Modify continuation parameter + r = 100.0 * r; + sqrofr = Math.sqrt(r); + + // Select mesh for continuation + Arrays.fill(ipmesh, 1, nmesh - 1, 2); + + // Call continuation primer routine + ifail = 0; + d02tx.eval(mxmesh, nmesh, mesh, ipmesh, work, icomm, ifail); + mxmesh = d02tx.getMXMESH(); + nmesh = d02tx.getNMESH(); + ifail = d02tx.getIFAIL(); + if (ifail != 0) { + System.err.println("D02TX failed with error code " + ifail); + } + + } + + } + + /** + * Converts a 2D Fortran index to the 1D index for its corresponding Java + * array. Assumes y is already zero-based. + * + * Fortran array definition: + * a(dimX, 0:*) + * + * Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return (y * dimX) + (x-1); + } + + /** + * Converts a 3D Fortran index to the 1D index for its corresponding Java + * array. Assumes z is already zero-based. + * + * Fortran array definition: + * a(dimX, dimY, 0:*) + * + * Conversion: + * a(x, y, z) --> A[result] + */ + private static int getIdx(int x, int y, int z, int dimX, int dimY) { + return (z * dimY * dimX) + ((y-1) * dimX) + (x-1); + } + + public static class FFUN extends D02TK.Abstract_D02TK_FFUN { + + public void eval() { + F[0] = Y[getIdx(2, 0, NEQ)]; + F[1] = -((Y[getIdx(1, 0, NEQ)] * Y[getIdx(2, 2, NEQ)]) + + (Y[getIdx(3, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; + F[2] = ((Y[getIdx(2, 0, NEQ)] * Y[getIdx(3, 0, NEQ)]) + - (Y[getIdx(1, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; + } + + } + + public static class FJAC extends D02TK.Abstract_D02TK_FJAC { + + public void eval() { + DFDY[getIdx(1, 2, 0, NEQ, NEQ)] = 1.0; + DFDY[getIdx(2, 1, 0, NEQ, NEQ)] = -Y[getIdx(2, 2, NEQ)] * sqrofr; + DFDY[getIdx(2, 2, 2, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; + DFDY[getIdx(2, 3, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; + DFDY[getIdx(2, 3, 1, NEQ, NEQ)] = -Y[getIdx(3, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 1, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; + DFDY[getIdx(3, 2, 0, NEQ, NEQ)] = Y[getIdx(3, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 3, 0, NEQ, NEQ)] = Y[getIdx(2, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 3, 1, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; + } + + } + + public static class GAFUN extends D02TK.Abstract_D02TK_GAFUN { + + public void eval() { + GA[0] = YA[getIdx(1, 0, NEQ)]; + GA[1] = YA[getIdx(2, 0, NEQ)]; + GA[2] = YA[getIdx(3, 0, NEQ)] - omega; + } + + } + + public static class GBFUN extends D02TK.Abstract_D02TK_GBFUN { + + public void eval() { + GB[0] = YB[getIdx(1, 0, NEQ)]; + GB[1] = YB[getIdx(2, 0, NEQ)]; + GB[2] = YB[getIdx(3, 0, NEQ)] + omega; + } + + } + + public static class GAJAC extends D02TK.Abstract_D02TK_GAJAC { + + public void eval() { + DGADY[getIdx(1, 1, 0, NLBC, NEQ)] = 1.0; + DGADY[getIdx(2, 2, 0, NLBC, NEQ)] = 1.0; + DGADY[getIdx(3, 3, 0, NLBC, NEQ)] = 1.0; + } + + } + + public static class GBJAC extends D02TK.Abstract_D02TK_GBJAC { + + public void eval() { + DGBDY[getIdx(1, 1, 0, NRBC, NEQ)] = 1.0; + DGBDY[getIdx(2, 2, 0, NRBC, NEQ)] = 1.0; + DGBDY[getIdx(3, 3, 0, NRBC, NEQ)] = 1.0; + } + + } + + public static class GUESS extends D02TK.Abstract_D02TK_GUESS { + + public void eval() { + Y[getIdx(1, 0, NEQ)] = -(X - 0.5) * Math.pow(X * (X - 1.0), 2.0); + Y[getIdx(2, 0, NEQ)] = -X * (X - 1.0) + * (5.0 * X * (X - 1.0) + 1.0); + Y[getIdx(2, 1, NEQ)] = -(2.0 * X - 1.0) + * (10.0 * X * (X - 1.0) + 1.0); + Y[getIdx(2, 2, NEQ)] = -12.0 * (5.0 * X * (X - 1.0) + 1.0); + Y[getIdx(3, 0, NEQ)] = -8.0 * omega * Math.pow(X - 0.5, 3.0); + Y[getIdx(3, 1, NEQ)] = -24.0 * omega * Math.pow(X - 0.5, 2.0); + DYM[0] = Y[getIdx(2, 0, NEQ)]; + DYM[1] = -120.0 * (X - 0.5); + DYM[2] = -56.0 * omega * (X - 0.5); + } + + } + +} From 3992f2960f237030fedc8257ac13199055361390 Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 15 Jan 2021 14:13:18 +0000 Subject: [PATCH 119/196] Removed everything from simple_examples --- simple_examples/D02NEJE.java | 388 ---------------- simple_examples/D02TLJE.java | 290 ------------ simple_examples/D03RAJE.java | 307 ------------- simple_examples/D03RBJE.java | 388 ---------------- simple_examples/F01ELJE.java | 89 ---- simple_examples/F02EKJE.java | 227 ---------- simple_examples/F02FKJE.java | 230 ---------- simple_examples/F02WGJE.java | 132 ------ simple_examples/baseresults/a00aaje.r | 10 - simple_examples/baseresults/a00acje.r | 3 - simple_examples/baseresults/a00adje.r | 17 - simple_examples/baseresults/c02aaje.r | 19 - simple_examples/baseresults/c02abje.r | 12 - simple_examples/baseresults/c02afje.r | 28 -- simple_examples/baseresults/c02agje.r | 27 -- simple_examples/baseresults/c02ahje.r | 6 - simple_examples/baseresults/c02ajje.r | 6 - simple_examples/baseresults/c02akje.r | 8 - simple_examples/baseresults/c02alje.r | 9 - simple_examples/baseresults/c02amje.r | 8 - simple_examples/baseresults/c02anje.r | 9 - simple_examples/baseresults/c05auje.r | 4 - simple_examples/baseresults/c05awje.r | 4 - simple_examples/baseresults/c05ayje.r | 3 - simple_examples/baseresults/c05azje.r | 15 - simple_examples/baseresults/c05bbje.r | 10 - simple_examples/baseresults/c05mbje.r | 8 - simple_examples/baseresults/c05qbje.r | 8 - simple_examples/baseresults/c06baje.r | 15 - simple_examples/baseresults/c06fkje.r | 13 - simple_examples/baseresults/c09aaje.r | 18 - .../baseresults/complexargumentexample.r | 1 - simple_examples/baseresults/d01bdje.r | 9 - simple_examples/baseresults/d02neje.r | 25 -- simple_examples/baseresults/d02tkje.r | 113 ----- simple_examples/baseresults/d02tlje.r | 113 ----- simple_examples/baseresults/d03pcje.r | 28 -- simple_examples/baseresults/d03raje.r | 409 ----------------- simple_examples/baseresults/d03rbje.r | 59 --- simple_examples/baseresults/d05baje.r | 12 - simple_examples/baseresults/d05beje.r | 46 -- simple_examples/baseresults/dtfsmje.r | 10 - simple_examples/baseresults/e01daje.r | 25 -- simple_examples/baseresults/e02alje.r | 24 - simple_examples/baseresults/e04abje.r | 6 - simple_examples/baseresults/e04bbje.r | 7 - simple_examples/baseresults/e04cbje.r | 4 - simple_examples/baseresults/e04fcje.r | 22 - simple_examples/baseresults/e04ffje.r | 73 --- simple_examples/baseresults/e04gbje.r | 22 - simple_examples/baseresults/e04ggje.r | 44 -- simple_examples/baseresults/e04mtje.r | 162 ------- simple_examples/baseresults/e04mxje.r | 38 -- simple_examples/baseresults/e04ncje.r | 23 - simple_examples/baseresults/e04nfje.r | 66 --- simple_examples/baseresults/e04nkje.r | 26 -- simple_examples/baseresults/e04nqje.r | 6 - simple_examples/baseresults/e04ptje.r | 39 -- simple_examples/baseresults/e04rpje.r | 105 ----- simple_examples/baseresults/e04rsje.r | 35 -- simple_examples/baseresults/e04rtje.r | 35 -- simple_examples/baseresults/e04saje.r | 33 -- simple_examples/baseresults/e04taje.r | 39 -- simple_examples/baseresults/e04tcje.r | 58 --- simple_examples/baseresults/e04uc_example.r | 95 ---- simple_examples/baseresults/e04ucje.r | 22 - simple_examples/baseresults/e04yaje.r | 25 -- simple_examples/baseresults/f01adje.r | 9 - simple_examples/baseresults/f01ckje.r | 5 - simple_examples/baseresults/f01crje.r | 6 - simple_examples/baseresults/f01dgje.r | 8 - simple_examples/baseresults/f01elje.r | 10 - simple_examples/baseresults/f01emje.r | 10 - simple_examples/baseresults/f02ekje.r | 20 - simple_examples/baseresults/f02fkje.r | 14 - simple_examples/baseresults/f02wgje.r | 7 - simple_examples/baseresults/f03baje.r | 14 - simple_examples/baseresults/f04amje.r | 4 - simple_examples/baseresults/f04baje.r | 14 - simple_examples/baseresults/f05aaje.r | 11 - simple_examples/baseresults/f06clje.r | 3 - simple_examples/baseresults/f07aaje.r | 14 - simple_examples/baseresults/f07abje.r | 23 - simple_examples/baseresults/f07adje.r | 10 - simple_examples/baseresults/f07aqje.r | 7 - simple_examples/baseresults/f07faje.r | 11 - simple_examples/baseresults/f07fbje.r | 19 - simple_examples/baseresults/f08btje.r | 16 - simple_examples/baseresults/f08faje.r | 16 - simple_examples/baseresults/f08xpje.r | 8 - simple_examples/baseresults/g01alje.r | 7 - simple_examples/baseresults/g02akje.r | 14 - simple_examples/baseresults/g02bjje.r | 38 -- simple_examples/baseresults/g02brje.r | 29 -- simple_examples/baseresults/g02daje.r | 31 -- simple_examples/baseresults/g02eeje.r | 20 - simple_examples/baseresults/g02maje.r | 23 - simple_examples/baseresults/g03gaje.r | 79 ---- simple_examples/baseresults/g05kfje.r | 7 - simple_examples/baseresults/g13awje.r | 4 - simple_examples/baseresults/g13meje.r | 39 -- simple_examples/baseresults/g13naje.r | 11 - simple_examples/baseresults/h02bbje.r | 79 ---- simple_examples/baseresults/h02daje.r | 14 - simple_examples/baseresults/m01ccje.r | 15 - .../baseresults/nagcomplexexample.r | 60 --- simple_examples/baseresults/outputexample.r | 10 - simple_examples/baseresults/s01baje.r | 9 - simple_examples/baseresults/s10aaje.r | 7 - simple_examples/baseresults/s10abje.r | 8 - simple_examples/baseresults/s10acje.r | 8 - simple_examples/baseresults/s14abje.r | 12 - simple_examples/baseresults/s14acje.r | 8 - simple_examples/baseresults/s14afje.r | 5 - simple_examples/baseresults/s17dcje.r | 10 - simple_examples/baseresults/s17dgje.r | 9 - simple_examples/baseresults/s30aaje.r | 16 - simple_examples/baseresults/s30acje.r | 9 - .../baseresults/simpleroutineexample.r | 15 - .../baseresults/userdefinedfunctionexample1.r | 1 - .../baseresults/userdefinedfunctionexample2.r | 1 - simple_examples/baseresults/x03aaje.r | 3 - simple_examples/baseresults/x04cbje.r | 21 - simple_examples/baseresults/x05abje.r | 2 - simple_examples/data/c02abje.d | 14 - simple_examples/data/c02afje.d | 19 - simple_examples/data/c02agje.d | 9 - simple_examples/data/c02ahje.d | 2 - simple_examples/data/c02ajje.d | 2 - simple_examples/data/c02akje.d | 2 - 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com.nag.routines.D02.D02NE; -import com.nag.routines.D02.D02NEZ; -import com.nag.routines.D02.D02NP; -import java.util.Arrays; - -/** - * D02NE example program text. - * @author joed - */ -public class D02NEJE { - - public static final double ALPHA = 0.04; - public static final double BETA = 1.0E4; - public static final double GAMMA = 3.0E7; - public static final int ML = 1; - public static final int MU = 2; - public static final int NEQ1 = 3; - public static final int NEQ2 = 1; - - public static JAC1 jac1 = new JAC1(); - public static JAC2 jac2 = new JAC2(); - public static RES1 res1 = new RES1(); - public static RES2 res2 = new RES2(); - - public static void main(String[] args) { - - System.out.println(" D02NEJ Example Program Results"); - - ex1(); - ex2(); - - } - - private static void ex1() { - - D02MC d02mc = new D02MC(); - D02MW d02mw = new D02MW(); - D02NE d02ne = new D02NE(); - D02NP d02np = new D02NP(); - double h0, hmax, t, tout; - int ifail, ijac, itask, itol, lcom, licom, maxord, neq; - String jceval; // length 8 - double[] atol, com, rtol, y, ydot, ruser; - int[] icom, iuser; - - ruser = new double[1]; - iuser = new int[3]; - - System.out.println(); - System.out.println(" D02NEF Example 1"); - System.out.println(); - - maxord = 5; - - neq = NEQ1; - lcom = 40 + (maxord + 4) * neq + (2 * ML + MU + 1) * neq - + 2 * (neq / (ML + MU + 1) + 1); - licom = 50 + neq; - - atol = new double[neq]; - com = new double[lcom]; - rtol = new double[neq]; - y = new double[neq]; - ydot = new double[neq]; - icom = new int[licom]; - - ijac = 1; - itol = 1; - Arrays.fill(rtol, 1.0E-3); - Arrays.fill(atol, 1.0E-6); - Arrays.fill(ydot, 0.0); - - // String length = 8 - jceval = (ijac == 1) ? "Analytic" : "Numeric "; - - // Set initial values - y[0] = 1.0; - y[1] = 0.0; - y[2] = 0.0; - - // Initialize the problem, specifying that the Jacobian is to be - // evaluated analytically using the provided routine jac. - hmax = 0.0; - h0 = 0.0; - t = 0.0; - tout = 0.02; - ifail = 0; - d02mw.eval( - neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail - ); - ifail = d02mw.getIFAIL(); - - // Specify that the Jacobian is banded. - ifail = 0; - d02np.eval(neq, ML, MU, icom, licom, ifail); - ifail = d02np.getIFAIL(); - - // Use the iuser array to pass the band dimensions through to jac. - // An alternative would be to hard code values for ml and mu in jac. - iuser[0] = ML; - iuser[1] = MU; - iuser[2] = ijac; - - System.out.printf(" t "); - for (int i = 1; i <= neq; i++) { - System.out.printf(" Y(%1d) ", i); - } - System.out.println(); - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - itask = 0; - - // Obtain the solution at 5 equally spaced values of T. - for (int j = 0; j < 5; j++) { - ifail = -1; - d02ne.eval( - neq, t, tout, y, ydot, rtol, atol, itask, res1, jac1, icom, - com, lcom, iuser, ruser, ifail - ); - itask = d02ne.getITASK(); - ifail = d02ne.getIFAIL(); - t = d02ne.getT(); - - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - if (ifail != 0) { - System.out.printf( - " ** D02NEF returned with IFAIL = %5d\n", ifail - ); - break; - } - - tout += 0.02; - d02mc.eval(icom); - - } - - System.out.println(); - System.out.printf( - " The integrator completed task, ITASK = %4d\n", itask - ); - - } - - private static void ex2() { - D02MC d02mc = new D02MC(); - D02MW d02mw = new D02MW(); - D02NE d02ne = new D02NE(); - double h0, hmax, t, tout; - int ifail, ijac, itask, itol, lcom, licom, maxord, neq; - String jceval; // length 8 - double[] atol, com, rtol, y, ydot, ruser; - int[] icom, iuser; - - ruser = new double[1]; - iuser = new int[1]; - - System.out.println(); - System.out.println(" D02NEF Example 2"); - System.out.println(); - - maxord = 5; - neq = NEQ2; - lcom = 40 + (maxord + 4) * neq + neq * neq; - licom = 50 + neq; - - atol = new double[neq]; - com = new double[lcom]; - rtol = new double[neq]; - y = new double[neq]; - ydot = new double[neq]; - icom = new int[licom]; - - ijac = 1; - itol = 1; - rtol[0] = 0.0; - atol[0] = 1.0E-8; - ydot[0] = 0.0; - - // String length = 8 - jceval = (ijac == 1) ? "Analytic" : "Numeric "; - - // Initialize the problem, specifying that the Jacobian is to be - // evaluated analytically using the provided routine jac. - y[0] = 2.0; - hmax = 0.0; - h0 = 0.0; - t = 0.0; - tout = 0.2; - - ifail = 0; - d02mw.eval( - neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail - ); - ifail = d02mw.getIFAIL(); - - // Use the iuser array to pass whether numerical or analytic Jacobian - // is to be used. - iuser[0] = ijac; - - System.out.printf(" t "); - for (int i = 1; i <= neq; i++) { - System.out.printf(" y(%1d) ", i); - } - System.out.println(); - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - itask = 0; - - for (int j = 0; j < 5; j++) { - ifail = -1; - d02ne.eval( - neq, t, tout, y, ydot, rtol, atol, itask, res2, jac2, icom, - com, lcom, iuser, ruser, ifail - ); - itask = d02ne.getITASK(); - ifail = d02ne.getIFAIL(); - t = d02ne.getT(); - - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - if (ifail != 0) { - System.out.printf( - " ** D02NEF returned with IFAIL = %5d\n", ifail - ); - break; - } - - tout += 0.2; - d02mc.eval(icom); - - } - - System.out.println(); - System.out.printf( - " The integrator completed task, ITASK = %4d\n", itask - ); - - } - - /** - * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based - * Java index. - * - *

    Fortran array definition: - * a(dimX, *) - * - *

    Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return ((y-1) * dimX) + (x-1); - } - - public static class RES1 extends D02NE.Abstract_D02NE_RES { - - public void eval() { - - this.R[0] = -(ALPHA * this.Y[0]) + (BETA * this.Y[1] * this.Y[2]) - - this.YDOT[0]; - this.R[1] = (ALPHA * this.Y[0]) - (BETA * this.Y[1] * this.Y[2]) - - (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[1]; - this.R[2] = (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[2]; - - } - - } - - public static class JAC1 extends D02NE.Abstract_D02NE_JAC { - - private double[] myjac1( - int neq, int ml, int mu, double t, double[] y, double[] ydot, - double[] pd, double cj - ) { - - int md, ms, pdDim1; - - pdDim1 = (2 * ml) + mu + 1; - - // Main diagonal pdfull(i,i), i=1, neq - md = mu + ml + 1; - pd[getIdx(md, 1, pdDim1)] = -ALPHA - cj; - pd[getIdx(md, 2, pdDim1)] = (-BETA * y[2]) - (2.0 * GAMMA * y[1]) - - cj; - pd[getIdx(md, 3, pdDim1)] = -cj; - - // 1 subdiagonal pdfull(i-1,i), i=2, neq - ms = md + 1; - pd[getIdx(ms, 1, pdDim1)] = ALPHA; - pd[getIdx(ms, 2, pdDim1)] = 2.0 * GAMMA * y[1]; - - // First superdiagonal pdfull(i-1,i), i=2, neq - ms = md - 1; - pd[getIdx(ms, 2, pdDim1)] = BETA * y[2]; - pd[getIdx(ms, 3, pdDim1)] = -BETA * y[1]; - - // Second superdiagonal pdfull(i-2,i), i=3, neq - ms = md - 2; - pd[getIdx(ms, 3, pdDim1)] = BETA * y[1]; - - return pd; - - } - - public void eval() { - D02NEZ d02nez = new D02NEZ(); - int ijac, ml, mu; - - ml = this.IUSER[0]; - mu = this.IUSER[1]; - ijac = this.IUSER[2]; - - if (ijac == 1) { - myjac1( - this.NEQ, ml, mu, this.T, this.Y, this.YDOT, this.PD, - this.CJ - ); - } - else { - d02nez.eval( - this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, - this.IUSER, this.RUSER - ); - } - - } - - } - - public static class RES2 extends D02NE.Abstract_D02NE_RES { - - public void eval() { - this.R[0] = 4.0 - Math.pow(this.Y[0], 2.0) - + (this.T * 0.1E0 * Math.exp(this.Y[0])); - } - - } - - public static class JAC2 extends D02NE.Abstract_D02NE_JAC { - - private void myjac2( - int neq, double t, double[] y, double[] ydot, double[] pd, - double cj - ) { - - pd[0] = -(2.0 * y[0]) + (0.1E0 * t * y[0] * Math.exp(y[0])); - - } - - public void eval() { - D02NEZ d02nez = new D02NEZ(); - int ijac; - - ijac = this.IUSER[0]; - - if (ijac == 1) { - myjac2(this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ); - } - else { - d02nez.eval( - this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, - this.IUSER, this.RUSER - ); - } - - } - - } - -} diff --git a/simple_examples/D02TLJE.java b/simple_examples/D02TLJE.java deleted file mode 100644 index 601b3ce..0000000 --- a/simple_examples/D02TLJE.java +++ /dev/null @@ -1,290 +0,0 @@ -import com.nag.routines.D02.D02TL; -import com.nag.routines.D02.D02TV; -import com.nag.routines.D02.D02TX; -import com.nag.routines.D02.D02TY; -import com.nag.routines.D02.D02TZ; -import java.util.Arrays; - -/** - * D02TL example program text. - * @author joed - */ -public class D02TLJE { - - public static final int MMAX = 3, NEQ = 3, NLBC = 3, NRBC = 3; - - public static double omega, sqrofr; - public static int[] m = {1, 3, 2}; - - public static FFUN ffun = new FFUN(); - public static FJAC fjac = new FJAC(); - public static GAFUN gafun = new GAFUN(); - public static GAJAC gajac = new GAJAC(); - public static GBFUN gbfun = new GBFUN(); - public static GBJAC gbjac = new GBJAC(); - public static GUESS guess = new GUESS(); - - public static void main(String[] args) { - - D02TL d02tl = new D02TL(); - D02TV d02tv = new D02TV(); - D02TX d02tx = new D02TX(); - D02TY d02ty = new D02TY(); - D02TZ d02tz = new D02TZ(); - double dx, ermx, r; - int iermx, ifail, ijermx, licomm, lrcomm, mxmesh, ncol, ncont, - nmesh; - double[] mesh, rcomm, tol, y, ruser = new double[1]; - int[] icomm, ipmesh, iuser = new int[2]; - - System.out.println(" D02TLJ Example Program Results"); - System.out.println(); - - ncol = 7; - nmesh = 11; - mxmesh = 51; - - mesh = new double[mxmesh]; - tol = new double[NEQ]; - y = new double[NEQ * MMAX]; - ipmesh = new int[mxmesh]; - - omega = 1.0; - Arrays.fill(tol, 1.0E-4); - - dx = 1.0 / ((double) nmesh - 1); - - mesh[0] = 0.0; - for (int i = 1; i < nmesh - 1; i++) { - mesh[i] = mesh[i - 1] + dx; - } - mesh[nmesh - 1] = 1.0; - - ipmesh[0] = 1; - Arrays.fill(ipmesh, 1, nmesh - 1, 2); - ipmesh[nmesh - 1] = 1; - - // Workspace query to get size of rcomm and icomm - ifail = 0; - d02tv.eval( - NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, ruser, - 0, iuser, 2, ifail - ); - ifail = d02tv.getIFAIL(); - lrcomm = iuser[0]; - licomm = iuser[1]; - rcomm = new double[lrcomm]; - icomm = new int[licomm]; - - // Initialise integrator for given problem - ifail = 0; - d02tv.eval( - NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, rcomm, - lrcomm, icomm, licomm, ifail - ); - ifail = d02tv.getIFAIL(); - - ncont = 3; - r = 1.0E6; - - sqrofr = Math.sqrt(r); - - ermx = 0.0; - iermx = 0; - ijermx = 0; - - for (int j = 0; j < ncont; j++) { - System.out.printf("\n Tolerance = %8.1E R = %10.3E\n", tol[0], r); - - // Solve problem - ifail = -1; - d02tl.eval( - ffun, fjac, gafun, gbfun, gajac, gbjac, guess, rcomm, icomm, - iuser, ruser, ifail - ); - ifail = d02tl.getIFAIL(); - if (ifail != 0) { - System.err.println("D02TL failed with error code " + ifail); - } - - // Extract mesh - ifail = -1; - d02tz.eval( - mxmesh, nmesh, mesh, ipmesh, ermx, iermx, ijermx, rcomm, icomm, - ifail - ); - nmesh = d02tz.getNMESH(); - iermx = d02tz.getIERMX(); - ijermx = d02tz.getIJERMX(); - ermx = d02tz.getERMX(); - ifail = d02tz.getIFAIL(); - if (ifail == 1) { - break; - } - - // Print mesh, error stats - System.out.printf( - "\n" - + " Used a mesh of %4d points\n" - + " Maximum error = %10.2E in interval %4d for component %4d\n" - + "\n", - nmesh, ermx, iermx, ijermx - ); - System.out.printf("\n Mesh points:\n"); - for (int i = 0; i < nmesh; i++) { - System.out.printf("%4d(%1d)%10.3E", i+1, ipmesh[i], mesh[i]); - if ((i+1) % 4 == 0) { - System.out.printf("\n"); - } - } - System.out.printf("\n"); - - // Print solution components on mesh - System.out.printf("\n x f f\' g\n"); - for (int i = 0; i < nmesh; i++) { - ifail = 0; - d02ty.eval(mesh[i], y, NEQ, MMAX, rcomm, icomm, ifail); - ifail = d02ty.getIFAIL(); - System.out.printf( - " %8.3f %9.4f%9.4f%9.4f\n", mesh[i], y[getIdx(1, 0, NEQ)], - y[getIdx(2, 0, NEQ)], y[getIdx(3, 0, NEQ)] - ); - } - - if (j == ncont - 1) { - break; - } - - // Modify continuation parameter - r = 100.0 * r; - sqrofr = Math.sqrt(r); - - // Select mesh for continuation - Arrays.fill(ipmesh, 1, nmesh - 1, 2); - - // Call continuation primer routine - ifail = 0; - d02tx.eval(mxmesh, nmesh, mesh, ipmesh, rcomm, icomm, ifail); - mxmesh = d02tx.getMXMESH(); - nmesh = d02tx.getNMESH(); - ifail = d02tx.getIFAIL(); - - } - - } - - /** - * Converts a 2D Fortran index to the 1D index for its corresponding Java - * array. Assumes y is already zero-based. - * - *

    Fortran array definition: - * a(dimX, 0:*) - * - *

    Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return (y * dimX) + (x-1); - } - - /** - * Converts a 3D Fortran index to the 1D index for its corresponding Java - * array. Assumes z is already zero-based. - * - *

    Fortran array definition: - * a(dimX, dimY, 0:*) - * - *

    Conversion: - * a(x, y, z) --> A[result] - */ - private static int getIdx(int x, int y, int z, int dimX, int dimY) { - return (z * dimY * dimX) + ((y-1) * dimX) + (x-1); - } - - public static class FFUN extends D02TL.Abstract_D02TL_FFUN { - - public void eval() { - F[0] = Y[getIdx(2, 0, NEQ)]; - F[1] = -((Y[getIdx(1, 0, NEQ)] * Y[getIdx(2, 2, NEQ)]) - + (Y[getIdx(3, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; - F[2] = ((Y[getIdx(2, 0, NEQ)] * Y[getIdx(3, 0, NEQ)]) - - (Y[getIdx(1, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; - } - - } - - public static class FJAC extends D02TL.Abstract_D02TL_FJAC { - - public void eval() { - DFDY[getIdx(1, 2, 0, NEQ, NEQ)] = 1.0; - DFDY[getIdx(2, 1, 0, NEQ, NEQ)] = -Y[getIdx(2, 2, NEQ)] * sqrofr; - DFDY[getIdx(2, 2, 2, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; - DFDY[getIdx(2, 3, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; - DFDY[getIdx(2, 3, 1, NEQ, NEQ)] = -Y[getIdx(3, 0, NEQ)] * sqrofr; - DFDY[getIdx(3, 1, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; - DFDY[getIdx(3, 2, 0, NEQ, NEQ)] = Y[getIdx(3, 0, NEQ)] * sqrofr; - DFDY[getIdx(3, 3, 0, NEQ, NEQ)] = Y[getIdx(2, 0, NEQ)] * sqrofr; - DFDY[getIdx(3, 3, 1, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; - } - - } - - public static class GAFUN extends D02TL.Abstract_D02TL_GAFUN { - - public void eval() { - GA[0] = YA[getIdx(1, 0, NEQ)]; - GA[1] = YA[getIdx(2, 0, NEQ)]; - GA[2] = YA[getIdx(3, 0, NEQ)] - omega; - } - - } - - public static class GBFUN extends D02TL.Abstract_D02TL_GBFUN { - - public void eval() { - GB[0] = YB[getIdx(1, 0, NEQ)]; - GB[1] = YB[getIdx(2, 0, NEQ)]; - GB[2] = YB[getIdx(3, 0, NEQ)] + omega; - } - - } - - public static class GAJAC extends D02TL.Abstract_D02TL_GAJAC { - - public void eval() { - DGADY[getIdx(1, 1, 0, NLBC, NEQ)] = 1.0; - DGADY[getIdx(2, 2, 0, NLBC, NEQ)] = 1.0; - DGADY[getIdx(3, 3, 0, NLBC, NEQ)] = 1.0; - } - - } - - public static class GBJAC extends D02TL.Abstract_D02TL_GBJAC { - - public void eval() { - DGBDY[getIdx(1, 1, 0, NRBC, NEQ)] = 1.0; - DGBDY[getIdx(2, 2, 0, NRBC, NEQ)] = 1.0; - DGBDY[getIdx(3, 3, 0, NRBC, NEQ)] = 1.0; - } - - } - - public static class GUESS extends D02TL.Abstract_D02TL_GUESS { - - public void eval() { - Y[getIdx(1, 0, NEQ)] = -(X - 0.5) * Math.pow(X * (X - 1.0), 2.0); - Y[getIdx(2, 0, NEQ)] = -X * (X - 1.0) - * (5.0 * X * (X - 1.0) + 1.0); - Y[getIdx(2, 1, NEQ)] = -(2.0 * X - 1.0) - * (10.0 * X * (X - 1.0) + 1.0); - Y[getIdx(2, 2, NEQ)] = -12.0 * (5.0 * X * (X - 1.0) + 1.0); - Y[getIdx(3, 0, NEQ)] = -8.0 * omega * Math.pow(X - 0.5, 3.0); - Y[getIdx(3, 1, NEQ)] = -24.0 * omega * Math.pow(X - 0.5, 2.0); - DYM[0] = Y[getIdx(2, 0, NEQ)]; - DYM[1] = -120.0 * (X - 0.5); - DYM[2] = -56.0 * omega * (X - 0.5); - } - - } - -} diff --git a/simple_examples/D03RAJE.java b/simple_examples/D03RAJE.java deleted file mode 100644 index 88d49aa..0000000 --- a/simple_examples/D03RAJE.java +++ /dev/null @@ -1,307 +0,0 @@ -import com.nag.routines.D03.D03RA; -import com.nag.routines.D03.D03RA.D03RA_BNDARY; -import com.nag.routines.D03.D03RA.D03RA_MONITR; -import com.nag.routines.X01.X01AA; -import com.nag.routines.X02.X02AJ; -import java.util.Arrays; - -/** - * D03RA example program text. - * @author joed - */ -public class D03RAJE { - - public static final double ALPHA = 50.0; - public static final double BETA = 300.0; - public static final double XMAX = 1.0; - public static final double XMIN = 0.0; - public static final double YMAX = 1.0; - public static final double YMIN = 0.0; - public static final int ITRACE = 0; - public static final int NPDE = 1; - - public static D03RA d03ra = new D03RA(); - public static PDEDEF pdedef = new PDEDEF(); - public static BNDRY bndry = new BNDRY(); - public static PDEIV pdeiv = new PDEIV(); - public static MONIT monit = new MONIT(); - public static MONITDUMMY monitDummy = new MONITDUMMY(); - - public static void main(String[] args) { - double tols, tolt, tout, ts; - int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, npde, npts, nx, ny; - double[] dt, twant, optr, rwk; - int[] wklens, iwk, opti = new int[4]; - boolean[] lwk; - - // Run examples - System.out.println(" D03RAJ Example Program Results"); - System.out.println(); - - npts = 2000; - npde = NPDE; - - dt = new double[] {0.1e-2, 0.0, 0.0}; - twant = new double[] {0.24, 0.25}; - ts = 0.0; - - ind = 10; - nx = 41; - ny = 41; - tols = 0.5; - tolt = 0.01; - Arrays.fill(opti, 0); - opti[0] = 6; - maxlev = Math.max(opti[0], 3); - - wklens = computeWkspaceLens(maxlev, npde, npts); - lenrwk = wklens[0]; - leniwk = wklens[1]; - lenlwk = wklens[2]; - rwk = new double[lenrwk]; - iwk = new int[leniwk]; - lwk = new boolean[lenlwk]; - - optr = new double[3 * npde]; - Arrays.fill(optr, 1.0); - - for (int i = 0; i < 2; i++) { - tout = twant[i]; - ifail = 0; - if (i == 0) { - // Dummy monitor used to avoid output on first call - d03ra.eval( - npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, - tolt, pdedef, bndry, pdeiv, monitDummy, opti, optr, - rwk, lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail - ); - } - else { - d03ra.eval( - npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, - tolt, pdedef, bndry, pdeiv, monit, opti, optr, rwk, - lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail - ); - } - - ind = d03ra.getIND(); - ifail = d03ra.getIFAIL(); - ts = d03ra.getTS(); - - printStatistics(ts, iwk, maxlev); - - } - - } - - public static class PDEIV extends D03RA.Abstract_D03RA_PDEIV { - - public void eval() { - Arrays.fill(this.U, 1.0); - } - - } - - public static class PDEDEF extends D03RA.Abstract_D03RA_PDEDEF { - - private static final double ACTIV_ENERGY = 20.0; - private static final double DIFFUSION = 0.1; - private static final double HEAT_RELEASE = 1.0; - private static final double REACTION_RATE = 5.0; - - public void eval() { - - double damkohler; - - damkohler = REACTION_RATE * Math.exp(ACTIV_ENERGY) - / (HEAT_RELEASE * ACTIV_ENERGY); - - for (int col = 0; col < this.NPDE; col++) { - for (int row = 0; row < this.NPTS; row++) { - int idx = (col * this.NPTS) + row; - this.RES[idx] = this.UT[idx] - - (DIFFUSION * (this.UXX[idx] + this.UYY[idx])) - - (damkohler - * (1.0e0 + HEAT_RELEASE - this.U[idx]) - * Math.exp(-ACTIV_ENERGY / this.U[idx])); - } - } - - } - - } - - public static class BNDRY extends D03RA.Abstract_D03RA_BNDARY { - - public void eval() { - X02AJ x02aj = new X02AJ(); - double tol; - - // X02AJ returns machine precision - tol = 10.0 * x02aj.eval(); - - for (int i = 0; i < this.NBPTS; i++) { - int j = this.LBND[i] - 1; - - if (Math.abs(this.X[j]) <= tol) { - for (int col = 0; col < this.NPDE; col++) { - int idx = (col * this.NPTS) + j; - this.RES[idx] = this.UX[idx]; - } - } - else if (Math.abs(this.X[j] - 1.0) <= tol) { - for (int col = 0; col < this.NPDE; col++) { - int idx = (col * this.NPTS) + j; - this.RES[idx] = this.U[idx] - 1.0; - } - } - else if (Math.abs(this.Y[j]) <= tol) { - for (int col = 0; col < this.NPDE; col++) { - int idx = (col * this.NPTS) + j; - this.RES[idx] = this.UY[idx]; - } - } - else if (Math.abs(this.Y[j] - 1.0) <= tol) { - for (int col = 0; col < this.NPDE; col++) { - int idx = (col * this.NPTS) + j; - this.RES[idx] = this.U[idx] - 1.0; - } - } - } - - } - - } - - public static class MONIT extends D03RA.Abstract_D03RA_MONITR { - - public void eval() { - int ipsol, k, level, npts; - - if (TLAST) { - // Print solution - level = this.NLEV - 1; - npts = this.NGPTS[level]; - ipsol = this.LSOL[level]; - k = 0; - for (int i = 0; i < level; i++) { - k += this.NGPTS[i]; - } - - System.out.printf( - " Solution at every 4th grid point in level%10d" - + " at time %8.4f:%n%n", this.NLEV, this.T - ); - System.out.println( - " x y approx u\n" - ); - for (int i = 0; i < npts; i += 4) { - double ix = this.XPTS[k + i]; - double iy = this.YPTS[k + i]; - double isol = this.SOL[ipsol + i]; - System.out.printf( - " %11.4E %11.3E %11.3E%n", - ix, iy, isol - ); - } - System.out.println(); - - } - - } - - } - - public static class MONITDUMMY extends D03RA.Abstract_D03RA_MONITR { - - public void eval() { - return; - } - - } - - public static int[] computeWkspaceLens(int maxlev, int npde, int maxpts) { - int lenrwk, leniwk, lenlwk; - - lenrwk = (2 * maxpts * npde * ((5 * maxlev) + (18 * npde) + 9)) - + (2 * maxpts); - leniwk = (2 * maxpts * (14 + (5 * maxlev))) - + (7 * maxlev) + 2; - lenlwk = (2 * maxpts) + 400; - - return new int[] {lenrwk, leniwk, lenlwk}; - - } - - public static void printStatistics(double ts, int[] iwk, int maxlev) { - int[] istats = new int[4]; - - System.out.printf(" Statistics:%n"); - System.out.printf(" Time = %8.4f%n", ts); - System.out.printf( - " Total number of accepted timesteps =%5d%n", iwk[0] - ); - System.out.printf( - " Total number of rejected timesteps =%5d%n", iwk[1] - ); - System.out.printf( - "%n" - + " Total number (rounded) of%n" - + " Residual Jacobian Newton Lin sys%n" - + " evals evals iters iters%n" - + " At level %n" - ); - - for (int j = 0; j < maxlev; j++) { - if (iwk[j + 2] != 0) { - int idx = 0; - for (int i = j+2; i <= j+2+(3*maxlev); i += maxlev) { - istats[idx++] = iwk[i]; - } - istats = roundStatisics(istats); - System.out.printf("%8d", j + 1); - for (int i = 0; i < 4; i++) { - System.out.printf("%10d", istats[i]); - } - System.out.printf("%n"); - } - } - - System.out.printf( - "%n" - + " Maximum number of %n" - + " Newton iters Lin sys iters %n" - + " At level %n" - ); - - for (int j = 0; j < maxlev; j++) { - if (iwk[j+2] != 0) { - System.out.printf("%8d", j+1); - System.out.printf("%14d", iwk[j+2+(4*maxlev)]); - System.out.printf("%14d", iwk[j+2+(5*maxlev)]); - System.out.printf("%n"); - } - } - System.out.println(); - - } - - public static int[] roundStatisics(int[] istat) { - double lt; - int k; - - lt = Math.log(10.0); - for (int i = 0; i < istat.length; i++) { - // istat = 0 leads to div by 0 error, doesn't need rounding anyway - if (istat[i] != 0) { - k = (int) (Math.log((double) istat[i]) / lt); - k = (int) Math.pow(10, k); - istat[i] = k * ((istat[i] + k/2)/k); - } - } - - return istat; - - } - -} diff --git a/simple_examples/D03RBJE.java b/simple_examples/D03RBJE.java deleted file mode 100644 index 9b1b482..0000000 --- a/simple_examples/D03RBJE.java +++ /dev/null @@ -1,388 +0,0 @@ -import com.nag.routines.D03.D03RB; -import com.nag.routines.D03.D03RZ; -import java.util.Arrays; - -/** - * D03RB example program text. - * @author joed - */ -public class D03RBJE { - - public static final int ITRACE = -1; - public static final int NPDE = 2; - public static final double[] TWANT = {0.25, 1.0}; - - public static boolean do_monitr; - public static int print_stats = 0; - - public static BNDARY bndary = new BNDARY(); - public static INIDOM inidom = new INIDOM(); - public static MONITR monitr = new MONITR(); - public static PDEDEF pdedef = new PDEDEF(); - public static PDEIV pdeiv = new PDEIV(); - - public static void main(String[] args) { - D03RB d03rb = new D03RB(); - double tols, tolt, tout, ts; - int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, mxlev, npts; - boolean[] lwk; - double[] optr, rwk, dt = new double[3]; - int[] iwk, opti = new int[4]; - - System.out.println(" D03RBJ Example Program Results"); - - npts = 3000; - mxlev = 7; - - leniwk = 10 * npts * (5 * mxlev + 14) + 2 + 7 * mxlev; - lenlwk = 20 * npts; - lenrwk = 20 * (npts * NPDE * (5 * mxlev + 9 + 18 * NPDE) + 2 * npts); - - rwk = new double[lenrwk]; - iwk = new int[leniwk]; - lwk = new boolean[lenlwk]; - optr = new double[3 * NPDE]; - - // Specify that we are starting the integration in time - // (ind = 0 normally). - ind = 10; - - ts = 0.0; - dt[0] = 0.001; - dt[1] = 1.0E-7; - dt[2] = 0.0; - tols = 0.1; - tolt = 0.05; - opti[0] = mxlev; - maxlev = opti[0]; - Arrays.fill(opti, 1, 4, 0); - Arrays.fill(optr, 1.0); - - // Call main routine - for (int iout = 1; iout <= 2; iout++) { - do_monitr = (iout == 2); - tout = TWANT[iout - 1]; - - ifail = 0; - d03rb.eval( - NPDE, ts, tout, dt, tols, tolt, inidom, pdedef, bndary, pdeiv, - monitr, opti, optr, rwk, lenrwk, iwk, leniwk, lwk, lenlwk, - ITRACE, ind, ifail - ); - ind = d03rb.getIND(); - ifail = d03rb.getIFAIL(); - ts = d03rb.getTS(); - - if (print_stats != 0) { - System.out.printf(" Statistics:\n"); - System.out.printf(" Time = %8.4f\n", ts); - System.out.printf( - " Total number of accepted timesteps =%5d\n", iwk[0] - ); - System.out.printf( - " Total number of rejected timesteps =%5d\n", iwk[1] - ); - System.out.println( - " Total number of " - + " maximum number of " - ); - System.out.println( - " Residual Jacobian Newton Newton " - ); - System.out.println( - " evals evals iters iters " - ); - System.out.println(" Level "); - - maxlev = opti[0]; - for (int j = 0; j < maxlev; j++) { - if (iwk[j+2] != 0) { - System.out.printf( - "%4d%10d%10d%10d%10d\n", - j+1, - iwk[j + 2 + 0*maxlev], - iwk[j + 2 + 1*maxlev], - iwk[j + 2 + 2*maxlev], - iwk[j + 2 + 4*maxlev] - ); - } - } - System.out.println(); - - } - - } - - } - - public static class PDEIV extends D03RB.Abstract_D03RB_PDEIV { - - public void eval(int NPTS, int NPDE, double T, double[] X, double[] Y, double[] U) { - this.setNPTS(NPTS); - this.setNPDE(NPDE); - this.setT(T); - this.setX(X); - this.setY(Y); - this.setU(U); - this.eval(); - } - - public void eval() { - double eps = 0.001, a; - - for (int i = 1; i <= this.NPTS; i++) { - a = (4.0 * (this.Y[i-1] - this.X[i-1]) - this.T) / (32.0 * eps); - if (a <= 0.0) { - this.U[getIdx(i, 1, this.NPTS)] - = 0.75 - 0.25 / (1.0 + Math.exp(a)); - this.U[getIdx(i, 2, this.NPTS)] - = 0.75 + 0.25 / (1.0 + Math.exp(a)); - } - else { - a = -a; - this.U[getIdx(i, 1, this.NPTS)] - = 0.75 - 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); - this.U[getIdx(i, 2, this.NPTS)] - = 0.75 + 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); - } - } - - } - - } - - public static class INIDOM extends D03RB.Abstract_D03RB_INIDOM { - - public void eval() { - int ifail, leniwk; - int[] icold, ilbndd, irowd, lbndd, llbndd, lrowd; - int[] iwk = new int[122]; - String[] pgrid = new String[11]; - - for (int i = 0; i < 11; i++) { - pgrid[i] = " "; - } - - icold = new int[]{ - 0,1,2,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5, - 6,7,8,9,10,0,1,2,3,4,5,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4, - 5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,0,1,2,3,4, - 5,6,7,8,0,1,2,3,4,5,6,7,8 - }; - - ilbndd = new int[]{ - 1,2,3,4,1,4,1,2,3,4,3,4,1,2,12,23,34,41,14,41,12,23,34,41,43,14, - 21,32 - }; - - irowd = new int[]{0,1,2,3,4,5,6,7,8,9,10}; - - lbndd = new int[]{ - 2,4,15,26,37,46,57,68,79,88,98,99,100,101,102,103,104,96,86,85, - 84,83,82,70,59,48,39,28,17,6,8,9,10,11,12,13,18,29,40,49,60,72, - 73,74,75,76,77,67,56,45,36,25,33,32,42,52,53,43,1,97,105,87,81, - 3,7,71,78,14,31,51,54,34 - }; - - llbndd = new int[]{ - 1,2,11,18,19,24,31,37,42,48,53,55,56,58,59,60,61,62,63,64,65,66, - 67,68,69,70,71,72 - }; - - lrowd = new int[]{1,4,15,26,37,46,57,68,79,88,97}; - - this.NX = 11; - this.NY = 11; - - // Check MAXPTS against rough estimate of NPTS. - this.NPTS = this.NX * this.NY; - if (this.MAXPTS < this.NPTS) { - this.IERR = -1; - return; - } - - this.XMIN = 0.0; - this.YMIN = 0.0; - this.XMAX = 1.0; - this.YMAX = 1.0; - - this.NROWS = 11; - this.NPTS = 105; - this.NBNDS = 28; - this.NBPTS = 72; - - for (int i = 0; i < this.NROWS; i++) { - this.LROW[i] = lrowd[i]; - this.IROW[i] = irowd[i]; - } - - for (int i = 0; i < this.NBNDS; i++) { - this.LLBND[i] = llbndd[i]; - this.ILBND[i] = ilbndd[i]; - } - - for (int i = 0; i < this.NBPTS; i++) { - this.LBND[i] = lbndd[i]; - } - - for (int i = 0; i < this.NPTS; i++) { - this.ICOL[i] = icold[i]; - } - - } - - } - - public static class PDEDEF extends D03RB.Abstract_D03RB_PDEDEF { - - public void eval() { - - double eps = 1E-3; - int n = this.NPTS; // For concise getIdx calls - - for (int i = 1; i <= n; i++) { - this.RES[getIdx(i, 1, n)] - = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 1, n)] - - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 1, n)] - + eps * (this.UXX[getIdx(i, 1, n)] - + this.UYY[getIdx(i, 1, n)]); - this.RES[getIdx(i, 2, n)] - = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 2, n)] - - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 2, n)] - + eps * (this.UXX[getIdx(i, 2, n)] - + this.UYY[getIdx(i, 2, n)]); - this.RES[getIdx(i, 1, n)] - = this.UT[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; - this.RES[getIdx(i, 2, n)] - = this.UT[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; - } - - } - - } - - public static class BNDARY extends D03RB.Abstract_D03RB_BNDARY { - - public void eval() { - - double a, eps = 1E-3; - int i, n = this.NPTS; - - for (int k = this.LLBND[0]; k <= this.NBPTS; k++) { - i = this.LBND[k - 1]; - a = (-4.0 * this.X[i - 1] + 4.0 * this.Y[i - 1] - this.T) - / (32.0 * eps); - - if (a <= 0.0) { - this.RES[getIdx(i, 1, n)] - = 0.75 - 0.25 / (1.0 + Math.exp(a)); - this.RES[getIdx(i, 2, n)] - = 0.75 + 0.25 / (1.0 + Math.exp(a)); - } - else { - a = -a; - this.RES[getIdx(i, 1, n)] - = 0.75 - (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); - this.RES[getIdx(i, 2, n)] - = 0.75 + (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); - } - - this.RES[getIdx(i, 1, n)] - = this.U[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; - this.RES[getIdx(i, 2, n)] - = this.U[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; - - } - - } - - } - - public static class MONITR extends D03RB.Abstract_D03RB_MONITR { - - public void eval() { - - D03RZ d03rz = new D03RZ(); - double aprxU, exctU, aprxV, exctV; - int maxpts = 6000; - int ifail, ipsol, npts; - double[] uex = new double[105*2], x = new double[maxpts], - y = new double[maxpts]; - - for (int level = 0; level < this.NLEV; level++) { - - if (!this.TLAST) { - break; - } - - ipsol = this.LSOL[level]; - - // Get grid information - ifail = -1; - npts = 0; - d03rz.eval( - level + 1, this.NLEV, this.XMIN, this.YMIN, this.DXB, - this.DYB, this.LGRID, this.ISTRUC, npts, x, y, maxpts, - ifail - ); - ifail = d03rz.getIFAIL(); - npts = d03rz.getNPTS(); - - if (ifail != 0) { - this.IERR = 1; - break; - } - - // Skip printing? - if (!do_monitr || (level != 0)) { - continue; - } - - // Get exact solution - pdeiv.eval(npts, this.NPDE, this.T, x, y, uex); - - System.out.println(); - System.out.printf( - " Solution at every 2nd grid point in level %d at" - + " time %8.4f:\n\n", level + 1, this.T - ); - System.out.print( - " x y approx u exact u approx v" - + " exact v\n\n" - ); - - ipsol = this.LSOL[level]; - - for (int i = 0; i < npts; i += 2) { - aprxU = this.SOL[ipsol + i]; - exctU = uex[getIdx(i+1, 1, npts)]; - aprxV = this.SOL[ipsol + npts + i]; - exctV = uex[getIdx(i+1, 2, npts)]; - System.out.printf( - " %9.2f %9.2f %9.2f %9.2f %9.2f %9.2f\n", - x[i], y[i], aprxU, exctU, aprxV, exctV - ); - } - System.out.println(); - - } - - } - - } - - /** - * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based - * Java index. - * - *

    Fortran array definition: - * a(dimX, *) - * - *

    Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return ((y-1) * dimX) + (x-1); - } - -} diff --git a/simple_examples/F01ELJE.java b/simple_examples/F01ELJE.java deleted file mode 100644 index 9986c6c..0000000 --- a/simple_examples/F01ELJE.java +++ /dev/null @@ -1,89 +0,0 @@ -import com.nag.routines.F01.F01EL; -import com.nag.routines.Routine; -import com.nag.routines.X04.X04CA; -import com.nag.types.NAGComplex; -import com.nag.types.NAGComplexInterface; -import java.util.Arrays; - -/** - * F01EL example program text. - * @author joed - */ -public class F01ELJE { - - public static void main(String[] args) { - - F01EL f01el = new F01EL(); - X04CA x04ca = new X04CA(); - - FCos2 fcos2 = new FCos2(); - double imnorm; - int i, ifail, iflag, lda, n; - double[] a, ruser = new double[1]; - int[] iuser = new int[1]; - - Routine.setComplex(new NAGComplex()); - - System.out.println(" F01ELJ Example Program Results"); - System.out.println(); - - // Problem data - n = 4; - a = new double[] { - 3.0, -1.0, 0.0, 2.0, 0.0, 1.0, 2.0, 1.0, 1.0, 3.0, 2.0, -1.0, 2.0, 1.0, 1.0, 1.0 - }; - - // Find f(A) - lda = n; - iflag = 0; - imnorm = 0; - ifail = 0; - f01el.eval(n, a, lda, fcos2, iuser, ruser, iflag, imnorm, ifail); - - // Print solution - ifail = 0; - x04ca.eval("G", "N", n, n, a, lda, "F(A) = COS(2A)", ifail); - - // Print the norm of the imaginary part to check it is small - System.out.println(); - System.out.println(" Imnorm = " + imnorm); - - } - - public static class FCos2 extends F01EL.Abstract_F01EL_F { - - /* These methods should really be part of an extension of NAGComplex. */ - - private NAGComplex complexCos(NAGComplexInterface z) { - NAGComplex cosz = new NAGComplex(); - cosz.setRe(Math.cos(z.getRe()) * Math.cosh(z.getIm())); - cosz.setIm(-Math.sin(z.getRe()) * Math.sinh(z.getIm())); - return cosz; - } - - private NAGComplex complexMult(NAGComplexInterface a, NAGComplexInterface b) { - NAGComplex ab = new NAGComplex(); - ab.setRe((a.getRe()*b.getRe()) - (a.getIm()*b.getIm())); - ab.setIm((a.getRe()*b.getIm()) + (a.getIm()*b.getRe())); - return ab; - } - - /* Calculate F(A) = COS(2A) */ - - public void eval() { - - NAGComplex two = new NAGComplex(); - two.setRe(2.0); - two.setIm(0.0); - - for (int i = 0; i < this.NZ; i++) { - this.FZ[i] = (NAGComplex) complexCos(complexMult(two, this.Z[i])); - } - - this.IFLAG = 0; - - } - - } - -} diff --git a/simple_examples/F02EKJE.java b/simple_examples/F02EKJE.java deleted file mode 100644 index 3737022..0000000 --- a/simple_examples/F02EKJE.java +++ /dev/null @@ -1,227 +0,0 @@ -import com.nag.routines.F02.F02EK; -import com.nag.routines.F12.F12AD; -import com.nag.routines.Routine; -import com.nag.routines.X02.X02AJ; -import com.nag.types.NAGComplex; -import com.nag.types.NAGComplexInterface; -import java.util.Arrays; - -/** - * F02EK example program text. - * @author joed - */ -public class F02EKJE { - - public static MYMONIT mymonit = new MYMONIT(); - public static MYOPTION myoption = new MYOPTION(); - - public static void main(String[] args) { - F02EK f02ek = new F02EK(); - X02AJ x02aj = new X02AJ(); - double h, rho, s, sigma; - int ifail, imon, k, ldv, maxit, mode, n, nconv, ncv, nev, nnz, nx, - prtlvl; - NAGComplex complex = new NAGComplex(); - double[] a, resid, v, ruser = new double[1]; - int[] icolzp, irowix, iuser = new int[4]; - NAGComplex[] w; - - Routine.setComplex(complex); - - System.out.println(" F02EKJ Example Program Results"); - System.out.println(); - - nx = 10; - nev = 4; - ncv = 20; - rho = 10.0; - sigma = 5.5; - - n = nx * nx; - nnz = 3*n - 2; - ldv = n; - - resid = new double[ncv]; - a = new double[nnz]; - icolzp = new int[n + 1]; - irowix = new int[nnz]; - w = (NAGComplex[]) complex.getArrayOfInstances(ncv); - v = new double[ldv * ncv]; - - // Construct A in compressed column storage (CCS) format where: - // A{ i , i } = 2 + i - // A{i+1, i } = 3 - // A{ i , i+1} = rho/(2n+2) - 1 - - h = 1.0 / (double)(n+1); - s = (rho * h / 2.0) - 1.0; - - a[0] = 2.0 + 1.0; - a[1] = 3.0; - icolzp[0] = 1; - irowix[0] = 1; - irowix[1] = 2; - k = 3; - - for (int i = 1; i < n - 1; i++) { - icolzp[i] = k; - irowix[k - 1] = i; - irowix[k] = i + 1; - irowix[k + 1] = i + 2; - a[k - 1] = s; - a[k] = 2.0 + (double)(i + 1); - a[k + 1] = 3.0; - k += 3; - } - - icolzp[n - 1] = k; - icolzp[n] = k + 2; - irowix[k - 1] = n - 1; - irowix[k] = n; - a[k - 1] = s; - a[k] = 2.0 + (double)(n); - - // Set some options via iuser array and return routine argument OPTION - // iuser[0] = print level - // iuser[1] = iteration limit - // iuser[2] > 0 means shifted-invert mode - // iuser[3] > 0 means print monitoring info - - prtlvl = 0; - maxit = 500; - mode = 1; - imon = 1; - - if (prtlvl > 0) { - imon = 0; - } - - iuser[0] = prtlvl; - iuser[1] = maxit; - iuser[2] = mode; - iuser[3] = imon; - - nconv = 0; // placeholder value, nconv is output only - ifail = 0; // hard exit on error - - f02ek.eval( - n, nnz, a, icolzp, irowix, nev, ncv, sigma, mymonit, myoption, - nconv, w, v, ldv, resid, iuser, ruser, ifail - ); - ifail = f02ek.getIFAIL(); - nconv = f02ek.getNCONV(); - - System.out.println(); - System.out.printf( - " The %4d Ritz values of closest to %13.5E are:\n", nconv, sigma - ); - - // Get machine precision - double mp = x02aj.eval(); - - for (int i = 0; i < nconv; i++) { - if (resid[i] > (double)(100*n*mp)) { - System.out.printf( - " %8d ( %13.5E , %13.5E ) %13.5E\n", - i + 1, w[i], resid[i] - ); - } - else { - System.out.printf( - " %8d ( %13.5E , %13.5E )\n", - i + 1, w[i].getRe(), w[i].getIm() - ); - } - } - - } - - public static class MYOPTION extends F02EK.Abstract_F02EK_OPTION { - - public void eval() { - F12AD f12ad = new F12AD(); - int ifail1; - String rec = " "; - - this.ISTAT = 0; - - if (this.IUSER[0] > 0) { - System.out.printf("Print Level=%5d\n", this.IUSER[0]); - ifail1 = 1; - f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[1] > 100) { - System.out.printf("Iteration Limit=%5d\n", this.IUSER[1]); - ifail1 = 1; - f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[2] > 0) { - ifail1 = 1; - f12ad.eval( - "Shifted Inverse Real ", this.ICOMM, this.COMM, ifail1 - ); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - } - - } - - public static class MYMONIT extends F02EK.Abstract_F02EK_MONIT { - - public NAGComplexInterface[] getW() { - return this.W; - } - - public void eval() { - - if (this.IUSER[3] > 0) { - - if (this.NITER == 1 && this.IUSER[2] > 0) { - System.out.printf( - " Arnoldi basis vectors used:%4d\n", this.NCV - ); - System.out.printf( - " The following Ritz values (mu) are related to the\n" - + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" - ); - } - - System.out.println(); - System.out.printf(" Iteration number %4d\n", this.NITER); - System.out.printf( - " Ritz values converged so far (%4d) and their Ritz" - + " estimates:\n", this.NCONV - ); - - for (int i = 0; i < this.NCONV; i++) { - System.out.printf( - " %4d (%13.5E,%13.5E) %13.5E\n", - i + 1, this.W[i].getRe(), this.W[i].getIm(), - this.RZEST[i] - ); - } - - System.out.printf(" Next (unconverged) Ritz value:\n"); - - System.out.printf( - " %4d (%13.5E,%13.5E)\n", - this.NCONV + 1, this.W[NCONV].getRe(), this.W[NCONV].getIm() - ); - - } - - this.ISTAT = 0; - - } - - } - -} diff --git a/simple_examples/F02FKJE.java b/simple_examples/F02FKJE.java deleted file mode 100644 index 0dd7ab9..0000000 --- a/simple_examples/F02FKJE.java +++ /dev/null @@ -1,230 +0,0 @@ -import com.nag.routines.F02.F02FK; -import com.nag.routines.F12.F12FD; -import com.nag.routines.X04.X04AB; -import com.nag.routines.X04.X04CA; -import java.util.Arrays; - -/** - * F02FK example program text. - * @author joed - */ -public class F02FKJE { - - public static MYMONIT mymonit = new MYMONIT(); - public static MYOPTION myoption = new MYOPTION(); - - public static void main(String[] args) { - F02FK f02fk = new F02FK(); - X04AB x04ab = new X04AB(); - X04CA x04ca = new X04CA(); - double h2, sigma; - int iset = 1, ifail, imon, k, ldv, lo, maxit, mode, n, nconv, ncv, nev, - nnz, nx, outchn, prtlvl; - double[] a, dPrint, resid, v, w, ruser = new double[1]; - int[] icol, irow, iuser = new int[4]; - - - System.out.println(" F02FKJ Example Program Results"); - System.out.println(); - - nx = 20; - nev = 8; - ncv = 20; - sigma = 1.0; - - // Construct the matrix A in sparse form and store in A. - // The main diagonal of A is full and there are two subdiagonals of A: - // the first and the nx-th. - - n = nx * nx; - nnz = (3 * n) - (2 * nx); - a = new double[nnz]; - irow = new int[nnz]; - icol = new int[nnz]; - - // Zero out A. - Arrays.fill(a, 0.0); - - // Main diagonal of A. - h2 = 1.0 / (double)((nx + 1) * (nx + 1)); - for (int i = 1; i <= n; i++) { - irow[i - 1] = i; - icol[i - 1] = i; - a[i - 1] = 4.0 / h2; - } - - // First subdiagonal of A. - k = n; - for (int i = 1; i <= nx; i++) { - lo = (i - 1) * nx; - for (int j = lo + 1; j <= lo + nx - 1; j++) { - k += 1; - irow[k - 1] = j + 1; - icol[k - 1] = j; - a[k - 1] = -1.0 / h2; - } - } - - // nx-th subdiagonal. - for (int i = 1; i <= nx - 1; i++) { - lo = (i - 1) * nx; - for (int j = lo + 1; j <= lo + nx; j++) { - k += 1; - irow[k - 1] = j + nx; - icol[k - 1] = j; - a[k - 1] = -1.0 / h2; - } - } - - // Set some options via iuser array and routine argument OPTION. - // iuser[0] = print level, - // iuser[1] = iteration limit, - // iuser[2]>0 means shifted-invert mode - // iuser[3]>0 means print monitoring info - - prtlvl = 0; - maxit = 500; - mode = 1; - imon = 0; - - ruser[0] = 1.0; - iuser[0] = prtlvl; - iuser[1] = maxit; - iuser[2] = mode; - iuser[3] = imon; - - // Find eigenvalues of largest magnitude and the corresponding - // eigenvectors. - - ldv = n; - w = new double[ncv]; - v = new double[ldv * ncv]; - resid = new double[n]; - - nconv = 0; // placeholder - - ifail = -1; - f02fk.eval( - n, nnz, a, irow, icol, nev, ncv, sigma, mymonit, myoption, nconv, - w, v, ldv, resid, iuser, ruser, ifail - ); - ifail = f02fk.getIFAIL(); - nconv = f02fk.getNCONV(); - if (ifail != 0) { - System.err.println(" ** F02FK returned with IFAIL = " + ifail); - } - - - - // Print Eigenvalues and the residual norm ||A*x - lambda*x||. - dPrint = new double[nconv * 2]; - for (int i = 1; i <= nconv; i++) { - dPrint[getIdx(i, 1, nconv)] = w[i - 1]; - dPrint[getIdx(i, 2, nconv)] = resid[i - 1]; - } - - System.out.println(); - - ifail = 0; - x04ca.eval( - "G", "N", nconv, 2, dPrint, nconv, " Ritz values and residuals", - ifail - ); - - } - - public static class MYOPTION extends F02FK.Abstract_F02FK_OPTION { - - public void eval() { - F12FD f12fd = new F12FD(); - int ifail1; - String rec = " "; // Required len = 25 - - this.ISTAT = 0; - - if (this.IUSER[0] > 0) { - System.out.printf(" Print Level=%5d\n", this.IUSER[0]); - ifail1 = 1; - f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12fd.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[1] > 100) { - System.out.printf(" Iteration Limit=%5d\n", this.IUSER[1]); - ifail1 = 1; - f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12fd.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[2] > 0) { - ifail1 = 1; - f12fd.eval( - "Shifted Inverse ", this.ICOMM, this.COMM, ifail1 - ); - ifail1 = f12fd.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - } - - } - - public static class MYMONIT extends F02FK.Abstract_F02FK_MONIT { - - public void eval() { - - if (this.IUSER[3] > 0) { - - if (this.NITER == 1 && this.IUSER[2] > 0) { - System.out.printf( - " Arnoldi basis vectors used:%4d\n", this.NCV - ); - System.out.printf( - " The following Ritz values (mu) are related to the\n" - + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" - ); - } - - System.out.println(); - System.out.printf(" Iteration number %4d\n", this.NITER); - System.out.printf( - " Ritz values converged so far(%4d) and their Ritz" - + " estimates:\n", this.NCONV - ); - - for (int i = 0; i < this.NCONV; i++) { - System.out.printf( - " %4d %13.5E %13.5E\n", i+1, this.W[i], this.RZEST[i] - ); - } - - System.out.printf(" Next (uncoverged) Ritz value:\n"); - System.out.printf( - " %4d %13.5E\n", this.NCONV + 1, this.W[this.NCONV + 1] - ); - - } - - this.ISTAT = 0; - - } - - } - - /** - * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based - * Java index. - * - *

    Fortran array definition: - * a(dimX, *) - * - *

    Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return ((y-1) * dimX) + (x-1); - } - -} diff --git a/simple_examples/F02WGJE.java b/simple_examples/F02WGJE.java deleted file mode 100644 index 36c26c6..0000000 --- a/simple_examples/F02WGJE.java +++ /dev/null @@ -1,132 +0,0 @@ -import com.nag.routines.F02.F02WG; -import java.util.Arrays; - -/** - * F02WG example program text. - * @author joed - */ -public class F02WGJE { - - public static AV av = new AV(); - - public static void main(String[] args) { - int ifail, k, ldu, ldv, m, n, nconv, ncv; - double[] resid, sigma, u, v; - double[] ruser = new double[1]; - int[] iuser = new int[1]; - - /* Set up wrappers */ - F02WG f02wg = new F02WG(); - - System.out.println(" F02WGJ Example Program Results\n"); - - /* Set F02WG args */ - m = 100; - n = 500; - k = 4; - ncv = 10; - nconv = 0; - ldu = m; - ldv = n; - resid = new double[ncv]; - sigma = new double[ncv]; - u = new double[ldu * ncv]; - v = new double[ldv * ncv]; - ifail = 0; - - /* Call routine */ - f02wg.eval( - m, // Rows in A - n, // Cols in A - k, // Num. of singular values to be computed - ncv, // Dimension of sigma and resid - av, // Subroutine that returns Ax or (A^T)x - nconv, // [Output] - sigma, // [Output] - u, // [Output] - ldu, // 1st dimension of u - v, // [Output] - ldv, // 1st dimension of v - resid, // [Output] - iuser, - ruser, - ifail - ); - - /* Get non-array output args */ - ifail = f02wg.getIFAIL(); - nconv = f02wg.getNCONV(); - - /* Print results */ - System.out.println(" Singular Value Residual"); - for (int i = 0; i < nconv; i++) { - System.out.printf( - " %10.5f %10.2G\n", sigma[i], resid[i] - ); - } - - } - - public static class AV extends F02WG.Abstract_F02WG_AV { - - public void eval() { - - double H = 1.0 / ((double)(this.M + 1)); - double K = 1.0 / ((double)(this.N + 1)); - - if (this.IFLAG == 1) { - - for (int i = 0; i < this.M; i++) { - this.AX[i] = 0.0; - } - - double S = 0.0; - double T = 0.0; - - for (int j = 0; j < this.N; j++) { - T += K; - S = 0.0; - - for (int i = 0; i < Math.min(j+1, this.M); i++) { - S += H; - this.AX[i] += K * S * (T - 1.0) * this.X[j]; - } - for (int i = j + 1; i < this.M; i++) { - S += H; - this.AX[i] += K * T * (S - 1.0) * this.X[j]; - } - - } - - } - else { - - for (int i = 0; i < this.N; i++) { - this.AX[i] = 0.0; - } - - double S = 0.0; - double T = 0.0; - - for (int j = 0; j < this.N; j++) { - T += K; - S = 0.0; - - for (int i = 0; i < Math.min(j+1, this.M); i++) { - S += H; - this.AX[j] += K * S * (T - 1.0) * this.X[i]; - } - for (int i = j + 1; i < this.M; i++) { - S += H; - this.AX[j] += K * T * (S - 1.0) * this.X[i]; - } - - } - - } - - } - - } - -} diff --git a/simple_examples/baseresults/a00aaje.r b/simple_examples/baseresults/a00aaje.r deleted file mode 100644 index adcba2f..0000000 --- a/simple_examples/baseresults/a00aaje.r +++ /dev/null @@ -1,10 +0,0 @@ - A00AAJ Example Program Results - - *** Start of NAG Library implementation details *** - - Implementation title: Linux, 64-bit, Intel C/C++ (32-bit integers) - Precision: double precision - Product Code: CLL6I262CL - Mark: 27.2.0 (self-contained) - - *** End of NAG Library implementation details *** diff --git a/simple_examples/baseresults/a00acje.r b/simple_examples/baseresults/a00acje.r deleted file mode 100644 index 0012531..0000000 --- a/simple_examples/baseresults/a00acje.r +++ /dev/null @@ -1,3 +0,0 @@ - A00ACJ Example Program Results - - A valid licence key is available diff --git a/simple_examples/baseresults/a00adje.r b/simple_examples/baseresults/a00adje.r deleted file mode 100644 index 5fb1839..0000000 --- a/simple_examples/baseresults/a00adje.r +++ /dev/null @@ -1,17 +0,0 @@ - A00ADJ Example Program Results - -*** Start of NAG Library implementation details *** - -Implementation title: Linux, 64-bit, Intel C/C++ (32-bit integers) - Precision: Fortran double precision - Product code: CLL6I262CL - Mark: 26.2 - Vendor Library: None -Applicable to: - hardware: x86_64 - operating system: Linux 2.6.32-696.6.3.el6.x86_64 - Fortran compiler: Intel ifort Version 18.0.1.163 20171018 -and compatible systems. - Licence query: Successful - -*** End of NAG Library implementation details *** diff --git a/simple_examples/baseresults/c02aaje.r b/simple_examples/baseresults/c02aaje.r deleted file mode 100644 index fa3083b..0000000 --- a/simple_examples/baseresults/c02aaje.r +++ /dev/null @@ -1,19 +0,0 @@ - C02AAJ Example Program Results - - Example 1: Basic Problem - - i z conv berr cond - --------------------------------------------------- - 1 6.53E-03, 7.42E-03 3 9.25E-18 4.84E+00 - 2 -6.93E-03, -7.44E-03 2 0.00E+00 4.95E+00 - 3 -2.43E+01, -4.86E+00 3 8.41E-18 1.13E+01 - 4 1.47E+01, -1.66E+01 3 1.07E-17 9.99E+00 - 5 5.25E+00, 2.27E+01 3 2.08E-17 1.06E+01 - - Example 2: Polishing Processes - - polish relerr fwderr - ---------------------------- - 0 3.18E-10 1.15E-04 - 1 6.16E-11 8.49E-06 - 2 1.11E-16 1.11E-16 diff --git a/simple_examples/baseresults/c02abje.r b/simple_examples/baseresults/c02abje.r deleted file mode 100644 index 01b29cd..0000000 --- a/simple_examples/baseresults/c02abje.r +++ /dev/null @@ -1,12 +0,0 @@ - C02ABJ Example Program Results - - Basic Problem - - i z conv berr cond - ----------------------------------------------------- - 1 ( 1.15E+00, 7.36E-01) 3 5.37E-18 1.34E+01 - 2 ( -1.67E+00, 3.25E-01) 3 6.34E-18 2.20E+01 - 3 ( 3.79E-01, -1.25E+00) 3 2.98E-18 1.02E+01 - 4 ( -1.67E+00, -3.25E-01) 3 4.57E-18 2.20E+01 - 5 ( 1.15E+00, -7.36E-01) 3 1.04E-17 1.34E+01 - 6 ( 3.79E-01, 1.25E+00) 2 1.66E-18 1.02E+01 diff --git a/simple_examples/baseresults/c02afje.r b/simple_examples/baseresults/c02afje.r deleted file mode 100644 index 386d4fe..0000000 --- a/simple_examples/baseresults/c02afje.r +++ /dev/null @@ -1,28 +0,0 @@ - C02AFJ Example Program Results - - - Example 1 - - Degree of polynomial = 5 - - Computed roots of polynomial - - z = -2.4328E+01 -4.8555E+00*i - z = 5.2487E+00 +2.2736E+01*i - z = 1.4653E+01 -1.6569E+01*i - z = -6.9264E-03 -7.4434E-03*i - z = 6.5264E-03 +7.4232E-03*i - - - Example 2 - - Degree of polynomial = 5 - - Computed roots of polynomial Error estimates - (machine-dependent) - - z = -2.4328E+01 -4.8555E+00*i 5.7E-16 - z = 5.2487E+00 +2.2736E+01*i 1.5E-16 - z = 1.4653E+01 -1.6569E+01*i 4.8E-16 - z = -6.9264E-03 -7.4434E-03*i 1.1E-16 - z = 6.5264E-03 +7.4232E-03*i 1.8E-16 diff --git a/simple_examples/baseresults/c02agje.r b/simple_examples/baseresults/c02agje.r deleted file mode 100644 index 8e10c18..0000000 --- a/simple_examples/baseresults/c02agje.r +++ /dev/null @@ -1,27 +0,0 @@ - C02AGJ Example Program Results - - - Example 1 - - - Degree of polynomial = 5 - - Computed roots of polynomial - - z = -1.4918E+00 - z = 5.5169E-01 +/- 1.2533E+00*i - z = -8.0579E-01 +/- 1.2229E+00*i - - - Example 2 - - Degree of polynomial = 5 - - Computed roots of polynomial Error estimates - (machine-dependent) - - z = -1.4918E+00 +0.0000E+00*i 7.4E-16 - z = 5.5169E-01 +1.2533E+00*i 1.1E-16 - z = 5.5169E-01 -1.2533E+00*i 1.1E-16 - z = -8.0579E-01 +1.2229E+00*i 3.0E-16 - z = -8.0579E-01 -1.2229E+00*i 3.0E-16 diff --git a/simple_examples/baseresults/c02ahje.r b/simple_examples/baseresults/c02ahje.r deleted file mode 100644 index e3efc97..0000000 --- a/simple_examples/baseresults/c02ahje.r +++ /dev/null @@ -1,6 +0,0 @@ - C02AHJ Example Program Results - - Roots of quadratic equation - - z = 1.0000E+00 +2.0000E+00*i - z = 2.0000E+00 -3.0000E+00*i diff --git a/simple_examples/baseresults/c02ajje.r b/simple_examples/baseresults/c02ajje.r deleted file mode 100644 index 944fa06..0000000 --- a/simple_examples/baseresults/c02ajje.r +++ /dev/null @@ -1,6 +0,0 @@ - C02AJJ Example Program Results - - Roots of quadratic equation - - z = 2.0000E+00 - z = -5.0000E+00 diff --git a/simple_examples/baseresults/c02akje.r b/simple_examples/baseresults/c02akje.r deleted file mode 100644 index 34b3e74..0000000 --- a/simple_examples/baseresults/c02akje.r +++ /dev/null @@ -1,8 +0,0 @@ - C02AKJ Example Program Results - - Roots of cubic equation Error estimates - (machine-dependent) - - z = 1.0000E+00 +0.0000E+00*i 1.0E-15 - z = -2.0000E+00 +3.0000E+00*i 1.0E-15 - z = -2.0000E+00 -3.0000E+00*i 1.0E-15 diff --git a/simple_examples/baseresults/c02alje.r b/simple_examples/baseresults/c02alje.r deleted file mode 100644 index ff49a36..0000000 --- a/simple_examples/baseresults/c02alje.r +++ /dev/null @@ -1,9 +0,0 @@ - C02ALJ Example Program Results - - Roots of quartic equation Error estimates - (machine-dependent) - - z = 2.0000E+00 +0.0000E+00*i 1.2E-15 - z = -2.0000E+00 +0.0000E+00*i 1.1E-15 - z = -1.0000E+00 +3.0000E+00*i 1.1E-15 - z = -1.0000E+00 -3.0000E+00*i 1.1E-15 diff --git a/simple_examples/baseresults/c02amje.r b/simple_examples/baseresults/c02amje.r deleted file mode 100644 index c2c70b4..0000000 --- a/simple_examples/baseresults/c02amje.r +++ /dev/null @@ -1,8 +0,0 @@ - C02AMJ Example Program Results - - Roots of cubic equation Error estimates - (machine-dependent) - - z = -2.0000E+00 +3.0000E+00*i 1.3E-15 - z = 1.0000E+00 -2.0000E+00*i 2.2E-15 - z = 3.0000E+00 -4.0000E+00*i 2.1E-15 diff --git a/simple_examples/baseresults/c02anje.r b/simple_examples/baseresults/c02anje.r deleted file mode 100644 index 4361b7e..0000000 --- a/simple_examples/baseresults/c02anje.r +++ /dev/null @@ -1,9 +0,0 @@ - C02ANJ Example Program Results - - Roots of quartic equation Error estimates - (machine-dependent) - - z = 3.0000E+00 -2.0000E+00*i 1.8E-15 - z = 1.0000E+00 -2.0000E+00*i 1.8E-15 - z = -2.0000E+00 +1.0000E+00*i 1.8E-15 - z = -2.0000E+00 +3.0000E+00*i 1.8E-15 diff --git a/simple_examples/baseresults/c05auje.r b/simple_examples/baseresults/c05auje.r deleted file mode 100644 index 1c8bb18..0000000 --- a/simple_examples/baseresults/c05auje.r +++ /dev/null @@ -1,4 +0,0 @@ -C05AUJ Example Program Results - -Root is : 0.56714 -Interval searched is : [ 0.50000, 0.90000] diff --git a/simple_examples/baseresults/c05awje.r b/simple_examples/baseresults/c05awje.r deleted file mode 100644 index 0868382..0000000 --- a/simple_examples/baseresults/c05awje.r +++ /dev/null @@ -1,4 +0,0 @@ -C05AWJ Example Program Results - -With eps = 1.00e-03 root = 0.56715 -With eps = 1.00e-04 root = 0.56715 diff --git a/simple_examples/baseresults/c05ayje.r b/simple_examples/baseresults/c05ayje.r deleted file mode 100644 index 50a0010..0000000 --- a/simple_examples/baseresults/c05ayje.r +++ /dev/null @@ -1,3 +0,0 @@ -C05AYJ Example Program Results - -Zero at x = 0.56714 diff --git a/simple_examples/baseresults/c05azje.r b/simple_examples/baseresults/c05azje.r deleted file mode 100644 index 1d3b6bc..0000000 --- a/simple_examples/baseresults/c05azje.r +++ /dev/null @@ -1,15 +0,0 @@ - C05AZJ Example Program Results - - Iterations - - X = 0.00000 FX = 1.0000E+00 IND = 2 - X = 1.00000 FX = -6.3212E-01 IND = 3 - X = 0.61270 FX = -7.0814E-02 IND = 4 - X = 0.56707 FX = 1.1542E-04 IND = 4 - X = 0.56714 FX = -9.4481E-07 IND = 4 - X = 0.56713 FX = 1.4727E-05 IND = 4 - X = 0.56714 FX = -9.4481E-07 IND = 4 - - Solution - - X = 0.56714 Y = 0.56713 diff --git a/simple_examples/baseresults/c05bbje.r b/simple_examples/baseresults/c05bbje.r deleted file mode 100644 index a963b94..0000000 --- a/simple_examples/baseresults/c05bbje.r +++ /dev/null @@ -1,10 +0,0 @@ -C05BBJ Example Program Results -Branch = 0 -Offset = false - - Z W(Z) RESID IFAIL - -(5.00000e-01, -1.00000e+00) (5.16511e-01, -4.22053e-01) 5.55112e-17 0 -(1.00000e+00, 2.30000e+00) (8.73606e-01, 5.76978e-01) 1.11022e-16 0 -(4.50000e+00, -1.00000e-01) (1.26735e+00, -1.24194e-02) 0.00000e+00 0 -(6.00000e+00, 6.00000e+00) (1.61492e+00, 4.90515e-01) 1.25607e-15 0 diff --git a/simple_examples/baseresults/c05mbje.r b/simple_examples/baseresults/c05mbje.r deleted file mode 100644 index 49cdab8..0000000 --- a/simple_examples/baseresults/c05mbje.r +++ /dev/null @@ -1,8 +0,0 @@ -C05MBJ Example Program Results - - -Final 2-norm of the residuals = 2.4765e-08 - -Final approximate solution - - 0.7682 0.7862 0.6948 0.6180 diff --git a/simple_examples/baseresults/c05qbje.r b/simple_examples/baseresults/c05qbje.r deleted file mode 100644 index e161a18..0000000 --- a/simple_examples/baseresults/c05qbje.r +++ /dev/null @@ -1,8 +0,0 @@ - C05QBJ Example Program Results - - Final 2-norm of the residuals = 1.1926E-08 - - Final approximate solution - -0.5707 -0.6816 -0.7017 - -0.7042 -0.7014 -0.6919 - -0.6658 -0.5960 -0.4164 diff --git a/simple_examples/baseresults/c06baje.r b/simple_examples/baseresults/c06baje.r deleted file mode 100644 index 7049ba9..0000000 --- a/simple_examples/baseresults/c06baje.r +++ /dev/null @@ -1,15 +0,0 @@ -C06BAJ Example Program Results - - Estimated Actual -I SEQN RESULT abs error error - -1 1.0000 1.0000 - 1.78e-01 -2 0.7500 0.7500 - -7.25e-02 -3 0.8611 0.8269 - 4.46e-03 -4 0.7986 0.8211 2.56e-01 -1.36e-03 -5 0.8386 0.8226 7.84e-02 1.23e-04 -6 0.8108 0.8224 5.97e-03 -3.26e-05 -7 0.8312 0.8225 1.52e-03 3.50e-06 -8 0.8156 0.8225 1.60e-04 -8.51e-07 -9 0.8280 0.8225 3.70e-05 1.01e-07 -10 0.8180 0.8225 4.48e-06 -2.32e-08 \ No newline at end of file diff --git a/simple_examples/baseresults/c06fkje.r b/simple_examples/baseresults/c06fkje.r deleted file mode 100644 index 8ef60db..0000000 --- a/simple_examples/baseresults/c06fkje.r +++ /dev/null @@ -1,13 +0,0 @@ -C06FKJ Example Program Results - - Covolution Correlation - -0 0.50000 2.00000 -1 1.00000 1.50000 -2 1.50000 1.00000 -3 2.00000 0.50000 -4 2.00000 0.00000 -5 1.50000 0.50000 -6 1.00000 1.00000 -7 0.50000 1.50000 -8 0.00000 2.00000 diff --git a/simple_examples/baseresults/c09aaje.r b/simple_examples/baseresults/c09aaje.r deleted file mode 100644 index 950c020..0000000 --- a/simple_examples/baseresults/c09aaje.r +++ /dev/null @@ -1,18 +0,0 @@ -C09AAJ Example Program Results - -Parameters read from file :: - Wavelet : Haar End mode : Zero N = 8 -Input data X : -2.000 5.000 8.000 9.000 7.000 4.000 -1.000 1.000 - -Length of wavelet filter : 2 -Number of Levels : 3 -Number of coefficients in each level: - 1 1 2 4 -Total number of wavelength coefficients : 8 - -Wavelet coefficients C: -12.374 4.596 -5.000 5.500 -2.121 -0.707 2.121 -1.414 - -Reconstruction Y : -2.000 5.000 8.000 9.000 7.000 4.000 -1.000 1.000 \ No newline at end of file diff --git a/simple_examples/baseresults/complexargumentexample.r b/simple_examples/baseresults/complexargumentexample.r deleted file mode 100644 index 19fc96c..0000000 --- a/simple_examples/baseresults/complexargumentexample.r +++ /dev/null @@ -1 +0,0 @@ -(1.0, 1.0)/(2.0, 2.0) = (0.5, 0.0) diff --git a/simple_examples/baseresults/d01bdje.r b/simple_examples/baseresults/d01bdje.r deleted file mode 100644 index 23c78d1..0000000 --- a/simple_examples/baseresults/d01bdje.r +++ /dev/null @@ -1,9 +0,0 @@ - D01BDJ Example Program Results - - A - lower limit of integration = 0.0000 - B - upper limit of integration = 1.0000 - EPSABS - absolute accuracy requested = 0.00E+00 - EPSREL - relative accuracy requested = 1.00E-04 - - RESULT - approximation to the integral = -0.03183 - ABSERR - estimate to the absolute error = 1.34E-11 diff --git a/simple_examples/baseresults/d02neje.r b/simple_examples/baseresults/d02neje.r deleted file mode 100644 index b735aaf..0000000 --- a/simple_examples/baseresults/d02neje.r +++ /dev/null @@ -1,25 +0,0 @@ - D02NEJ Example Program Results - - D02NEF Example 1 - - t Y(1) Y(2) Y(3) - 0.0000 1.000000 0.000000 0.000000 - 0.0200 0.999204 0.000036 0.000760 - 0.0400 0.998415 0.000036 0.001549 - 0.0600 0.997631 0.000036 0.002333 - 0.0800 0.996852 0.000036 0.003112 - 0.1000 0.996080 0.000036 0.003884 - - The integrator completed task, ITASK = 3 - - D02NEF Example 2 - - t y(1) - 0.0000 2.000000 - 0.2000 2.038016 - 0.4000 2.078379 - 0.6000 2.121462 - 0.8000 2.167736 - 1.0000 2.217821 - - The integrator completed task, ITASK = 3 diff --git a/simple_examples/baseresults/d02tkje.r b/simple_examples/baseresults/d02tkje.r deleted file mode 100644 index 4029a48..0000000 --- a/simple_examples/baseresults/d02tkje.r +++ /dev/null @@ -1,113 +0,0 @@ - D02TKJ Example Program Results - - - Tolerance = 1.0E-04 R = 1.000E+06 - - Used a mesh of 21 points - Maximum error = 6.16E-10 in interval 20 for component 3 - - - Mesh points: - 1(1) 0.000E+00 2(3) 5.000E-02 3(2) 1.000E-01 4(3) 1.500E-01 - 5(2) 2.000E-01 6(3) 2.500E-01 7(2) 3.000E-01 8(3) 3.500E-01 - 9(2) 4.000E-01 10(3) 4.500E-01 11(2) 5.000E-01 12(3) 5.500E-01 - 13(2) 6.000E-01 14(3) 6.500E-01 15(2) 7.000E-01 16(3) 7.500E-01 - 17(2) 8.000E-01 18(3) 8.500E-01 19(2) 9.000E-01 20(3) 9.500E-01 - 21(1) 1.000E+00 - - x f f' g - 0.000 0.0000 0.0000 1.0000 - 0.050 0.0070 0.1805 0.4416 - 0.100 0.0141 0.0977 0.1886 - 0.150 0.0171 0.0252 0.0952 - 0.200 0.0172 -0.0165 0.0595 - 0.250 0.0157 -0.0400 0.0427 - 0.300 0.0133 -0.0540 0.0322 - 0.350 0.0104 -0.0628 0.0236 - 0.400 0.0071 -0.0683 0.0156 - 0.450 0.0036 -0.0714 0.0078 - 0.500 0.0000 -0.0724 0.0000 - 0.550 -0.0036 -0.0714 -0.0078 - 0.600 -0.0071 -0.0683 -0.0156 - 0.650 -0.0104 -0.0628 -0.0236 - 0.700 -0.0133 -0.0540 -0.0322 - 0.750 -0.0157 -0.0400 -0.0427 - 0.800 -0.0172 -0.0165 -0.0595 - 0.850 -0.0171 0.0252 -0.0952 - 0.900 -0.0141 0.0977 -0.1886 - 0.950 -0.0070 0.1805 -0.4416 - 1.000 -0.0000 0.0000 -1.0000 - - Tolerance = 1.0E-04 R = 1.000E+08 - - Used a mesh of 21 points - Maximum error = 4.49E-09 in interval 6 for component 3 - - - Mesh points: - 1(1) 0.000E+00 2(3) 1.757E-02 3(2) 3.515E-02 4(3) 5.203E-02 - 5(2) 6.891E-02 6(3) 8.593E-02 7(2) 1.030E-01 8(3) 1.351E-01 - 9(2) 1.672E-01 10(3) 2.306E-01 11(2) 2.939E-01 12(3) 4.713E-01 - 13(2) 6.486E-01 14(3) 7.455E-01 15(2) 8.423E-01 16(3) 8.824E-01 - 17(2) 9.225E-01 18(3) 9.449E-01 19(2) 9.673E-01 20(3) 9.836E-01 - 21(1) 1.000E+00 - - x f f' g - 0.000 0.0000 0.0000 1.0000 - 0.018 0.0025 0.1713 0.3923 - 0.035 0.0047 0.0824 0.1381 - 0.052 0.0056 0.0267 0.0521 - 0.069 0.0058 0.0025 0.0213 - 0.086 0.0057 -0.0073 0.0097 - 0.103 0.0056 -0.0113 0.0053 - 0.135 0.0052 -0.0135 0.0027 - 0.167 0.0047 -0.0140 0.0020 - 0.231 0.0038 -0.0142 0.0015 - 0.294 0.0029 -0.0142 0.0012 - 0.471 0.0004 -0.0143 0.0002 - 0.649 -0.0021 -0.0143 -0.0008 - 0.745 -0.0035 -0.0142 -0.0014 - 0.842 -0.0049 -0.0139 -0.0022 - 0.882 -0.0054 -0.0127 -0.0036 - 0.922 -0.0058 -0.0036 -0.0141 - 0.945 -0.0057 0.0205 -0.0439 - 0.967 -0.0045 0.0937 -0.1592 - 0.984 -0.0023 0.1753 -0.4208 - 1.000 -0.0000 0.0000 -1.0000 - - Tolerance = 1.0E-04 R = 1.000E+10 - - Used a mesh of 21 points - Maximum error = 3.13E-06 in interval 7 for component 3 - - - Mesh points: - 1(1) 0.000E+00 2(3) 6.256E-03 3(2) 1.251E-02 4(3) 1.851E-02 - 5(2) 2.450E-02 6(3) 3.076E-02 7(2) 3.702E-02 8(3) 4.997E-02 - 9(2) 6.292E-02 10(3) 9.424E-02 11(2) 1.256E-01 12(3) 4.190E-01 - 13(2) 7.125E-01 14(3) 8.246E-01 15(2) 9.368E-01 16(3) 9.544E-01 - 17(2) 9.719E-01 18(3) 9.803E-01 19(2) 9.886E-01 20(3) 9.943E-01 - 21(1) 1.000E+00 - - x f f' g - 0.000 0.0000 0.0000 1.0000 - 0.006 0.0009 0.1623 0.3422 - 0.013 0.0016 0.0665 0.1021 - 0.019 0.0018 0.0204 0.0318 - 0.025 0.0019 0.0041 0.0099 - 0.031 0.0019 -0.0014 0.0028 - 0.037 0.0019 -0.0031 0.0007 - 0.050 0.0019 -0.0038 -0.0002 - 0.063 0.0018 -0.0038 -0.0003 - 0.094 0.0017 -0.0039 -0.0003 - 0.126 0.0016 -0.0039 -0.0002 - 0.419 0.0004 -0.0041 -0.0001 - 0.712 -0.0008 -0.0042 0.0001 - 0.825 -0.0013 -0.0043 0.0002 - 0.937 -0.0018 -0.0043 0.0003 - 0.954 -0.0019 -0.0042 0.0001 - 0.972 -0.0019 -0.0003 -0.0049 - 0.980 -0.0019 0.0152 -0.0252 - 0.989 -0.0015 0.0809 -0.1279 - 0.994 -0.0008 0.1699 -0.3814 - 1.000 0.0000 -0.0000 -1.0000 diff --git a/simple_examples/baseresults/d02tlje.r b/simple_examples/baseresults/d02tlje.r deleted file mode 100644 index b56a57d..0000000 --- a/simple_examples/baseresults/d02tlje.r +++ /dev/null @@ -1,113 +0,0 @@ - D02TLJ Example Program Results - - - Tolerance = 1.0E-04 R = 1.000E+06 - - Used a mesh of 21 points - Maximum error = 6.16E-10 in interval 20 for component 3 - - - Mesh points: - 1(1) 0.000E+00 2(3) 5.000E-02 3(2) 1.000E-01 4(3) 1.500E-01 - 5(2) 2.000E-01 6(3) 2.500E-01 7(2) 3.000E-01 8(3) 3.500E-01 - 9(2) 4.000E-01 10(3) 4.500E-01 11(2) 5.000E-01 12(3) 5.500E-01 - 13(2) 6.000E-01 14(3) 6.500E-01 15(2) 7.000E-01 16(3) 7.500E-01 - 17(2) 8.000E-01 18(3) 8.500E-01 19(2) 9.000E-01 20(3) 9.500E-01 - 21(1) 1.000E+00 - - x f f' g - 0.000 0.0000 0.0000 1.0000 - 0.050 0.0070 0.1805 0.4416 - 0.100 0.0141 0.0977 0.1886 - 0.150 0.0171 0.0252 0.0952 - 0.200 0.0172 -0.0165 0.0595 - 0.250 0.0157 -0.0400 0.0427 - 0.300 0.0133 -0.0540 0.0322 - 0.350 0.0104 -0.0628 0.0236 - 0.400 0.0071 -0.0683 0.0156 - 0.450 0.0036 -0.0714 0.0078 - 0.500 0.0000 -0.0724 0.0000 - 0.550 -0.0036 -0.0714 -0.0078 - 0.600 -0.0071 -0.0683 -0.0156 - 0.650 -0.0104 -0.0628 -0.0236 - 0.700 -0.0133 -0.0540 -0.0322 - 0.750 -0.0157 -0.0400 -0.0427 - 0.800 -0.0172 -0.0165 -0.0595 - 0.850 -0.0171 0.0252 -0.0952 - 0.900 -0.0141 0.0977 -0.1886 - 0.950 -0.0070 0.1805 -0.4416 - 1.000 -0.0000 0.0000 -1.0000 - - Tolerance = 1.0E-04 R = 1.000E+08 - - Used a mesh of 21 points - Maximum error = 4.49E-09 in interval 6 for component 3 - - - Mesh points: - 1(1) 0.000E+00 2(3) 1.757E-02 3(2) 3.515E-02 4(3) 5.203E-02 - 5(2) 6.891E-02 6(3) 8.593E-02 7(2) 1.030E-01 8(3) 1.351E-01 - 9(2) 1.672E-01 10(3) 2.306E-01 11(2) 2.939E-01 12(3) 4.713E-01 - 13(2) 6.486E-01 14(3) 7.455E-01 15(2) 8.423E-01 16(3) 8.824E-01 - 17(2) 9.225E-01 18(3) 9.449E-01 19(2) 9.673E-01 20(3) 9.836E-01 - 21(1) 1.000E+00 - - x f f' g - 0.000 0.0000 0.0000 1.0000 - 0.018 0.0025 0.1713 0.3923 - 0.035 0.0047 0.0824 0.1381 - 0.052 0.0056 0.0267 0.0521 - 0.069 0.0058 0.0025 0.0213 - 0.086 0.0057 -0.0073 0.0097 - 0.103 0.0056 -0.0113 0.0053 - 0.135 0.0052 -0.0135 0.0027 - 0.167 0.0047 -0.0140 0.0020 - 0.231 0.0038 -0.0142 0.0015 - 0.294 0.0029 -0.0142 0.0012 - 0.471 0.0004 -0.0143 0.0002 - 0.649 -0.0021 -0.0143 -0.0008 - 0.745 -0.0035 -0.0142 -0.0014 - 0.842 -0.0049 -0.0139 -0.0022 - 0.882 -0.0054 -0.0127 -0.0036 - 0.922 -0.0058 -0.0036 -0.0141 - 0.945 -0.0057 0.0205 -0.0439 - 0.967 -0.0045 0.0937 -0.1592 - 0.984 -0.0023 0.1753 -0.4208 - 1.000 -0.0000 0.0000 -1.0000 - - Tolerance = 1.0E-04 R = 1.000E+10 - - Used a mesh of 21 points - Maximum error = 3.13E-06 in interval 7 for component 3 - - - Mesh points: - 1(1) 0.000E+00 2(3) 6.256E-03 3(2) 1.251E-02 4(3) 1.851E-02 - 5(2) 2.450E-02 6(3) 3.076E-02 7(2) 3.702E-02 8(3) 4.997E-02 - 9(2) 6.292E-02 10(3) 9.424E-02 11(2) 1.256E-01 12(3) 4.190E-01 - 13(2) 7.125E-01 14(3) 8.246E-01 15(2) 9.368E-01 16(3) 9.544E-01 - 17(2) 9.719E-01 18(3) 9.803E-01 19(2) 9.886E-01 20(3) 9.943E-01 - 21(1) 1.000E+00 - - x f f' g - 0.000 0.0000 0.0000 1.0000 - 0.006 0.0009 0.1623 0.3422 - 0.013 0.0016 0.0665 0.1021 - 0.019 0.0018 0.0204 0.0318 - 0.025 0.0019 0.0041 0.0099 - 0.031 0.0019 -0.0014 0.0028 - 0.037 0.0019 -0.0031 0.0007 - 0.050 0.0019 -0.0038 -0.0002 - 0.063 0.0018 -0.0038 -0.0003 - 0.094 0.0017 -0.0039 -0.0003 - 0.126 0.0016 -0.0039 -0.0002 - 0.419 0.0004 -0.0041 -0.0001 - 0.712 -0.0008 -0.0042 0.0001 - 0.825 -0.0013 -0.0043 0.0002 - 0.937 -0.0018 -0.0043 0.0003 - 0.954 -0.0019 -0.0042 0.0001 - 0.972 -0.0019 -0.0003 -0.0049 - 0.980 -0.0019 0.0152 -0.0252 - 0.989 -0.0015 0.0809 -0.1279 - 0.994 -0.0008 0.1699 -0.3814 - 1.000 0.0000 -0.0000 -1.0000 diff --git a/simple_examples/baseresults/d03pcje.r b/simple_examples/baseresults/d03pcje.r deleted file mode 100644 index 154a2d9..0000000 --- a/simple_examples/baseresults/d03pcje.r +++ /dev/null @@ -1,28 +0,0 @@ -D03PCJ Example Program Results -Accuracy requirement = 1.00000e-03 - Parameter ALPHA = 1.000e+00 -T / X 0.0000 0.4000 0.6000 0.8000 0.9000 1.0000 - -0.0001 U(1) 0.0000 0.8008 1.1988 1.5990 1.7958 1.8485 - U(2) 0.9997 0.9995 0.9994 0.9988 0.9663 -0.0000 - - -0.0010 U(1) 0.0000 0.7982 1.1940 1.5841 1.7179 1.6734 - U(2) 0.9969 0.9952 0.9937 0.9484 0.6385 -0.0000 - - -0.0100 U(1) 0.0000 0.7676 1.1239 1.3547 1.3635 1.2830 - U(2) 0.9627 0.9495 0.8754 0.5537 0.2908 -0.0000 - - -0.1000 U(1) 0.0000 0.3908 0.5007 0.5297 0.5120 0.4744 - U(2) 0.5468 0.4299 0.2995 0.1479 0.0724 -0.0000 - - -1.0000 U(1) 0.0000 0.0007 0.0008 0.0008 0.0008 0.0007 - U(2) 0.0010 0.0007 0.0005 0.0002 0.0001 -0.0000 - -Number of Integration steps in time 78 -Number of residual evaluations of resulting ODE system 378 -Number of Jacobian evaluations 25 -Number of iterations of nonlinear solver 190 diff --git a/simple_examples/baseresults/d03raje.r b/simple_examples/baseresults/d03raje.r deleted file mode 100644 index 59cf403..0000000 --- a/simple_examples/baseresults/d03raje.r +++ /dev/null @@ -1,409 +0,0 @@ - D03RAJ Example Program Results - - Statistics: - Time = 0.2400 - Total number of accepted timesteps = 77 - Total number of rejected timesteps = 0 - - Total number (rounded) of - Residual Jacobian Newton Lin sys - evals evals iters iters - At level - 1 600 80 200 200 - - Maximum number of - Newton iters Lin sys iters - At level - 1 2 3 - - Solution at every 4th grid point in level 2 at time 0.2500: - - x y approx u - - 6.7500E-01 0.000E+00 2.000E+00 - 7.2500E-01 0.000E+00 1.980E+00 - 7.7500E-01 0.000E+00 1.342E+00 - 8.2500E-01 0.000E+00 1.190E+00 - 7.1250E-01 1.250E-02 1.996E+00 - 7.6250E-01 1.250E-02 1.468E+00 - 8.1250E-01 1.250E-02 1.213E+00 - 7.0000E-01 2.500E-02 1.999E+00 - 7.5000E-01 2.500E-02 1.625E+00 - 8.0000E-01 2.500E-02 1.240E+00 - 6.8750E-01 3.750E-02 2.000E+00 - 7.3750E-01 3.750E-02 1.870E+00 - 7.8750E-01 3.750E-02 1.283E+00 - 6.7500E-01 5.000E-02 2.000E+00 - 7.2500E-01 5.000E-02 1.980E+00 - 7.7500E-01 5.000E-02 1.342E+00 - 8.2500E-01 5.000E-02 1.190E+00 - 7.1250E-01 6.250E-02 1.996E+00 - 7.6250E-01 6.250E-02 1.468E+00 - 8.1250E-01 6.250E-02 1.213E+00 - 7.0000E-01 7.500E-02 1.999E+00 - 7.5000E-01 7.500E-02 1.625E+00 - 8.0000E-01 7.500E-02 1.240E+00 - 6.8750E-01 8.750E-02 2.000E+00 - 7.3750E-01 8.750E-02 1.870E+00 - 7.8750E-01 8.750E-02 1.283E+00 - 6.7500E-01 1.000E-01 2.000E+00 - 7.2500E-01 1.000E-01 1.980E+00 - 7.7500E-01 1.000E-01 1.342E+00 - 8.2500E-01 1.000E-01 1.190E+00 - 7.1250E-01 1.125E-01 1.996E+00 - 7.6250E-01 1.125E-01 1.468E+00 - 8.1250E-01 1.125E-01 1.213E+00 - 7.0000E-01 1.250E-01 1.999E+00 - 7.5000E-01 1.250E-01 1.625E+00 - 8.0000E-01 1.250E-01 1.240E+00 - 6.8750E-01 1.375E-01 2.000E+00 - 7.3750E-01 1.375E-01 1.870E+00 - 7.8750E-01 1.375E-01 1.283E+00 - 6.7500E-01 1.500E-01 2.000E+00 - 7.2500E-01 1.500E-01 1.980E+00 - 7.7500E-01 1.500E-01 1.341E+00 - 8.2500E-01 1.500E-01 1.190E+00 - 7.1250E-01 1.625E-01 1.995E+00 - 7.6250E-01 1.625E-01 1.467E+00 - 8.1250E-01 1.625E-01 1.213E+00 - 7.0000E-01 1.750E-01 1.999E+00 - 7.5000E-01 1.750E-01 1.624E+00 - 8.0000E-01 1.750E-01 1.240E+00 - 6.8750E-01 1.875E-01 2.000E+00 - 7.3750E-01 1.875E-01 1.869E+00 - 7.8750E-01 1.875E-01 1.282E+00 - 6.7500E-01 2.000E-01 2.000E+00 - 7.2500E-01 2.000E-01 1.980E+00 - 7.7500E-01 2.000E-01 1.341E+00 - 8.2500E-01 2.000E-01 1.189E+00 - 7.1250E-01 2.125E-01 1.995E+00 - 7.6250E-01 2.125E-01 1.465E+00 - 8.1250E-01 2.125E-01 1.212E+00 - 7.0000E-01 2.250E-01 1.999E+00 - 7.5000E-01 2.250E-01 1.621E+00 - 8.0000E-01 2.250E-01 1.240E+00 - 6.8750E-01 2.375E-01 2.000E+00 - 7.3750E-01 2.375E-01 1.869E+00 - 7.8750E-01 2.375E-01 1.282E+00 - 6.7500E-01 2.500E-01 2.000E+00 - 7.2500E-01 2.500E-01 1.980E+00 - 7.7500E-01 2.500E-01 1.340E+00 - 8.2500E-01 2.500E-01 1.189E+00 - 7.1250E-01 2.625E-01 1.995E+00 - 7.6250E-01 2.625E-01 1.462E+00 - 8.1250E-01 2.625E-01 1.212E+00 - 7.0000E-01 2.750E-01 1.999E+00 - 7.5000E-01 2.750E-01 1.616E+00 - 8.0000E-01 2.750E-01 1.239E+00 - 6.8750E-01 2.875E-01 2.000E+00 - 7.3750E-01 2.875E-01 1.866E+00 - 7.8750E-01 2.875E-01 1.281E+00 - 6.7500E-01 3.000E-01 2.000E+00 - 7.2500E-01 3.000E-01 1.979E+00 - 7.7500E-01 3.000E-01 1.337E+00 - 8.2500E-01 3.000E-01 1.189E+00 - 7.1250E-01 3.125E-01 1.995E+00 - 7.6250E-01 3.125E-01 1.455E+00 - 8.1250E-01 3.125E-01 1.212E+00 - 7.0000E-01 3.250E-01 1.999E+00 - 7.5000E-01 3.250E-01 1.605E+00 - 8.0000E-01 3.250E-01 1.239E+00 - 6.8750E-01 3.375E-01 2.000E+00 - 7.3750E-01 3.375E-01 1.862E+00 - 7.8750E-01 3.375E-01 1.279E+00 - 6.7500E-01 3.500E-01 2.000E+00 - 7.2500E-01 3.500E-01 1.977E+00 - 7.7500E-01 3.500E-01 1.332E+00 - 8.2500E-01 3.500E-01 1.189E+00 - 7.1250E-01 3.625E-01 1.993E+00 - 7.6250E-01 3.625E-01 1.442E+00 - 8.1250E-01 3.625E-01 1.211E+00 - 7.0000E-01 3.750E-01 1.999E+00 - 7.5000E-01 3.750E-01 1.585E+00 - 8.0000E-01 3.750E-01 1.236E+00 - 6.8750E-01 3.875E-01 2.000E+00 - 7.3750E-01 3.875E-01 1.849E+00 - 7.8750E-01 3.875E-01 1.274E+00 - 6.7500E-01 4.000E-01 2.000E+00 - 7.2500E-01 4.000E-01 1.972E+00 - 7.7500E-01 4.000E-01 1.324E+00 - 8.2500E-01 4.000E-01 1.187E+00 - 7.1250E-01 4.125E-01 1.990E+00 - 7.6250E-01 4.125E-01 1.420E+00 - 8.1250E-01 4.125E-01 1.209E+00 - 7.0000E-01 4.250E-01 1.997E+00 - 7.5000E-01 4.250E-01 1.549E+00 - 8.0000E-01 4.250E-01 1.233E+00 - 6.8750E-01 4.375E-01 1.999E+00 - 7.3750E-01 4.375E-01 1.813E+00 - 7.8750E-01 4.375E-01 1.267E+00 - 6.7500E-01 4.500E-01 2.000E+00 - 7.2500E-01 4.500E-01 1.952E+00 - 7.7500E-01 4.500E-01 1.310E+00 - 8.2500E-01 4.500E-01 1.185E+00 - 7.1250E-01 4.625E-01 1.976E+00 - 7.6250E-01 4.625E-01 1.387E+00 - 8.1250E-01 4.625E-01 1.206E+00 - 6.7500E-01 4.750E-01 2.000E+00 - 7.2500E-01 4.750E-01 1.924E+00 - 7.7500E-01 4.750E-01 1.301E+00 - 8.2500E-01 4.750E-01 1.184E+00 - 6.8750E-01 4.875E-01 1.999E+00 - 7.3750E-01 4.875E-01 1.714E+00 - 7.8750E-01 4.875E-01 1.257E+00 - 6.5000E-01 5.000E-01 2.000E+00 - 7.0000E-01 5.000E-01 1.991E+00 - 7.5000E-01 5.000E-01 1.454E+00 - 8.0000E-01 5.000E-01 1.224E+00 - 6.6250E-01 5.125E-01 2.000E+00 - 7.1250E-01 5.125E-01 1.932E+00 - 7.6250E-01 5.125E-01 1.346E+00 - 6.5000E-01 5.250E-01 2.000E+00 - 7.0000E-01 5.250E-01 1.986E+00 - 7.5000E-01 5.250E-01 1.414E+00 - 8.0000E-01 5.250E-01 1.219E+00 - 6.8750E-01 5.375E-01 1.996E+00 - 7.3750E-01 5.375E-01 1.545E+00 - 7.8750E-01 5.375E-01 1.243E+00 - 6.5000E-01 5.500E-01 2.000E+00 - 7.0000E-01 5.500E-01 1.978E+00 - 7.5000E-01 5.500E-01 1.373E+00 - 8.0000E-01 5.500E-01 1.214E+00 - 6.6250E-01 5.625E-01 1.999E+00 - 7.1250E-01 5.625E-01 1.843E+00 - 7.6250E-01 5.625E-01 1.302E+00 - 6.2500E-01 5.750E-01 2.000E+00 - 6.7500E-01 5.750E-01 1.995E+00 - 7.2500E-01 5.750E-01 1.545E+00 - 7.7500E-01 5.750E-01 1.256E+00 - 6.3750E-01 5.875E-01 2.000E+00 - 6.8750E-01 5.875E-01 1.954E+00 - 7.3750E-01 5.875E-01 1.392E+00 - 7.8750E-01 5.875E-01 1.226E+00 - 6.2500E-01 6.000E-01 2.000E+00 - 6.7500E-01 6.000E-01 1.984E+00 - 7.2500E-01 6.000E-01 1.443E+00 - 7.7500E-01 6.000E-01 1.243E+00 - 6.1250E-01 6.125E-01 2.000E+00 - 6.6250E-01 6.125E-01 1.988E+00 - 7.1250E-01 6.125E-01 1.531E+00 - 7.6250E-01 6.125E-01 1.263E+00 - 5.5000E-01 6.250E-01 2.000E+00 - 6.0000E-01 6.250E-01 2.000E+00 - 6.5000E-01 6.250E-01 1.993E+00 - 7.0000E-01 6.250E-01 1.577E+00 - 7.5000E-01 6.250E-01 1.280E+00 - 8.0000E-01 6.250E-01 1.194E+00 - 5.8750E-01 6.375E-01 2.000E+00 - 6.3750E-01 6.375E-01 1.992E+00 - 6.8750E-01 6.375E-01 1.672E+00 - 7.3750E-01 6.375E-01 1.300E+00 - 4.7500E-01 6.500E-01 2.000E+00 - 5.2500E-01 6.500E-01 2.000E+00 - 5.7500E-01 6.500E-01 2.000E+00 - 6.2500E-01 6.500E-01 1.993E+00 - 6.7500E-01 6.500E-01 1.680E+00 - 7.2500E-01 6.500E-01 1.314E+00 - 7.7500E-01 6.500E-01 1.218E+00 - 5.1250E-01 6.625E-01 2.000E+00 - 5.6250E-01 6.625E-01 1.999E+00 - 6.1250E-01 6.625E-01 1.988E+00 - 6.6250E-01 6.625E-01 1.721E+00 - 7.1250E-01 6.625E-01 1.331E+00 - 7.6250E-01 6.625E-01 1.229E+00 - 2.5000E-02 6.750E-01 2.000E+00 - 7.5000E-02 6.750E-01 2.000E+00 - 1.2500E-01 6.750E-01 2.000E+00 - 1.7500E-01 6.750E-01 2.000E+00 - 2.2500E-01 6.750E-01 2.000E+00 - 2.7500E-01 6.750E-01 2.000E+00 - 3.2500E-01 6.750E-01 2.000E+00 - 3.7500E-01 6.750E-01 2.000E+00 - 4.2500E-01 6.750E-01 2.000E+00 - 4.7500E-01 6.750E-01 2.000E+00 - 5.2500E-01 6.750E-01 2.000E+00 - 5.7500E-01 6.750E-01 1.995E+00 - 6.2500E-01 6.750E-01 1.932E+00 - 6.7500E-01 6.750E-01 1.447E+00 - 7.2500E-01 6.750E-01 1.277E+00 - 7.7500E-01 6.750E-01 1.205E+00 - 3.7500E-02 6.875E-01 2.000E+00 - 8.7500E-02 6.875E-01 2.000E+00 - 1.3750E-01 6.875E-01 2.000E+00 - 1.8750E-01 6.875E-01 2.000E+00 - 2.3750E-01 6.875E-01 2.000E+00 - 2.8750E-01 6.875E-01 2.000E+00 - 3.3750E-01 6.875E-01 2.000E+00 - 3.8750E-01 6.875E-01 2.000E+00 - 4.3750E-01 6.875E-01 1.999E+00 - 4.8750E-01 6.875E-01 1.999E+00 - 5.3750E-01 6.875E-01 1.996E+00 - 5.8750E-01 6.875E-01 1.954E+00 - 6.3750E-01 6.875E-01 1.672E+00 - 6.8750E-01 6.875E-01 1.343E+00 - 7.3750E-01 6.875E-01 1.244E+00 - 2.5000E-02 7.000E-01 1.999E+00 - 7.5000E-02 7.000E-01 1.999E+00 - 1.2500E-01 7.000E-01 1.999E+00 - 1.7500E-01 7.000E-01 1.999E+00 - 2.2500E-01 7.000E-01 1.999E+00 - 2.7500E-01 7.000E-01 1.999E+00 - 3.2500E-01 7.000E-01 1.999E+00 - 3.7500E-01 7.000E-01 1.999E+00 - 4.2500E-01 7.000E-01 1.997E+00 - 4.7500E-01 7.000E-01 1.994E+00 - 5.2500E-01 7.000E-01 1.986E+00 - 5.7500E-01 7.000E-01 1.941E+00 - 6.2500E-01 7.000E-01 1.577E+00 - 6.7500E-01 7.000E-01 1.336E+00 - 7.2500E-01 7.000E-01 1.247E+00 - 1.2500E-02 7.125E-01 1.996E+00 - 6.2500E-02 7.125E-01 1.996E+00 - 1.1250E-01 7.125E-01 1.995E+00 - 1.6250E-01 7.125E-01 1.995E+00 - 2.1250E-01 7.125E-01 1.995E+00 - 2.6250E-01 7.125E-01 1.995E+00 - 3.1250E-01 7.125E-01 1.995E+00 - 3.6250E-01 7.125E-01 1.993E+00 - 4.1250E-01 7.125E-01 1.990E+00 - 4.6250E-01 7.125E-01 1.976E+00 - 5.1250E-01 7.125E-01 1.932E+00 - 5.6250E-01 7.125E-01 1.843E+00 - 6.1250E-01 7.125E-01 1.531E+00 - 6.6250E-01 7.125E-01 1.331E+00 - 7.1250E-01 7.125E-01 1.250E+00 - 2.5000E-02 7.250E-01 1.980E+00 - 7.5000E-02 7.250E-01 1.980E+00 - 1.2500E-01 7.250E-01 1.980E+00 - 1.7500E-01 7.250E-01 1.980E+00 - 2.2500E-01 7.250E-01 1.980E+00 - 2.7500E-01 7.250E-01 1.979E+00 - 3.2500E-01 7.250E-01 1.978E+00 - 3.7500E-01 7.250E-01 1.975E+00 - 4.2500E-01 7.250E-01 1.965E+00 - 4.7500E-01 7.250E-01 1.924E+00 - 5.2500E-01 7.250E-01 1.772E+00 - 5.7500E-01 7.250E-01 1.545E+00 - 6.2500E-01 7.250E-01 1.366E+00 - 6.7500E-01 7.250E-01 1.277E+00 - 7.2500E-01 7.250E-01 1.222E+00 - 3.7500E-02 7.375E-01 1.870E+00 - 8.7500E-02 7.375E-01 1.870E+00 - 1.3750E-01 7.375E-01 1.870E+00 - 1.8750E-01 7.375E-01 1.869E+00 - 2.3750E-01 7.375E-01 1.868E+00 - 2.8750E-01 7.375E-01 1.866E+00 - 3.3750E-01 7.375E-01 1.862E+00 - 3.8750E-01 7.375E-01 1.849E+00 - 4.3750E-01 7.375E-01 1.813E+00 - 4.8750E-01 7.375E-01 1.714E+00 - 5.3750E-01 7.375E-01 1.545E+00 - 5.8750E-01 7.375E-01 1.392E+00 - 6.3750E-01 7.375E-01 1.300E+00 - 6.8750E-01 7.375E-01 1.244E+00 - 2.5000E-02 7.500E-01 1.625E+00 - 7.5000E-02 7.500E-01 1.625E+00 - 1.2500E-01 7.500E-01 1.625E+00 - 1.7500E-01 7.500E-01 1.624E+00 - 2.2500E-01 7.500E-01 1.621E+00 - 2.7500E-01 7.500E-01 1.616E+00 - 3.2500E-01 7.500E-01 1.605E+00 - 3.7500E-01 7.500E-01 1.585E+00 - 4.2500E-01 7.500E-01 1.549E+00 - 4.7500E-01 7.500E-01 1.491E+00 - 5.2500E-01 7.500E-01 1.414E+00 - 5.7500E-01 7.500E-01 1.337E+00 - 6.2500E-01 7.500E-01 1.280E+00 - 6.7500E-01 7.500E-01 1.237E+00 - 1.2500E-02 7.625E-01 1.468E+00 - 6.2500E-02 7.625E-01 1.468E+00 - 1.1250E-01 7.625E-01 1.468E+00 - 1.6250E-01 7.625E-01 1.467E+00 - 2.1250E-01 7.625E-01 1.465E+00 - 2.6250E-01 7.625E-01 1.462E+00 - 3.1250E-01 7.625E-01 1.455E+00 - 3.6250E-01 7.625E-01 1.442E+00 - 4.1250E-01 7.625E-01 1.420E+00 - 4.6250E-01 7.625E-01 1.387E+00 - 5.1250E-01 7.625E-01 1.345E+00 - 5.6250E-01 7.625E-01 1.302E+00 - 6.1250E-01 7.625E-01 1.263E+00 - 6.6250E-01 7.625E-01 1.229E+00 - 2.5000E-02 7.750E-01 1.342E+00 - 7.5000E-02 7.750E-01 1.342E+00 - 1.2500E-01 7.750E-01 1.342E+00 - 1.7500E-01 7.750E-01 1.341E+00 - 2.2500E-01 7.750E-01 1.340E+00 - 2.7500E-01 7.750E-01 1.339E+00 - 3.2500E-01 7.750E-01 1.335E+00 - 3.7500E-01 7.750E-01 1.329E+00 - 4.2500E-01 7.750E-01 1.317E+00 - 4.7500E-01 7.750E-01 1.301E+00 - 5.2500E-01 7.750E-01 1.280E+00 - 5.7500E-01 7.750E-01 1.256E+00 - 6.2500E-01 7.750E-01 1.231E+00 - 6.7500E-01 7.750E-01 1.205E+00 - 3.7500E-02 7.875E-01 1.283E+00 - 8.7500E-02 7.875E-01 1.283E+00 - 1.3750E-01 7.875E-01 1.283E+00 - 1.8750E-01 7.875E-01 1.282E+00 - 2.3750E-01 7.875E-01 1.282E+00 - 2.8750E-01 7.875E-01 1.281E+00 - 3.3750E-01 7.875E-01 1.279E+00 - 3.8750E-01 7.875E-01 1.274E+00 - 4.3750E-01 7.875E-01 1.267E+00 - 4.8750E-01 7.875E-01 1.257E+00 - 5.3750E-01 7.875E-01 1.243E+00 - 5.8750E-01 7.875E-01 1.226E+00 - 0.0000E+00 8.000E-01 1.240E+00 - 5.0000E-02 8.000E-01 1.240E+00 - 1.0000E-01 8.000E-01 1.240E+00 - 1.5000E-01 8.000E-01 1.240E+00 - 2.0000E-01 8.000E-01 1.240E+00 - 2.5000E-01 8.000E-01 1.240E+00 - 3.0000E-01 8.000E-01 1.239E+00 - 3.5000E-01 8.000E-01 1.238E+00 - 4.0000E-01 8.000E-01 1.235E+00 - 4.5000E-01 8.000E-01 1.230E+00 - 5.0000E-01 8.000E-01 1.224E+00 - 5.5000E-01 8.000E-01 1.214E+00 - 6.0000E-01 8.000E-01 1.202E+00 - 1.2500E-02 8.125E-01 1.213E+00 - 6.2500E-02 8.125E-01 1.213E+00 - 1.1250E-01 8.125E-01 1.213E+00 - 1.6250E-01 8.125E-01 1.213E+00 - 2.1250E-01 8.125E-01 1.212E+00 - 2.6250E-01 8.125E-01 1.212E+00 - 3.1250E-01 8.125E-01 1.212E+00 - 3.6250E-01 8.125E-01 1.211E+00 - 4.1250E-01 8.125E-01 1.209E+00 - 4.6250E-01 8.125E-01 1.206E+00 - 0.0000E+00 8.250E-01 1.190E+00 - 5.0000E-02 8.250E-01 1.190E+00 - 1.0000E-01 8.250E-01 1.190E+00 - 1.5000E-01 8.250E-01 1.190E+00 - 2.0000E-01 8.250E-01 1.189E+00 - 2.5000E-01 8.250E-01 1.189E+00 - 3.0000E-01 8.250E-01 1.189E+00 - 3.5000E-01 8.250E-01 1.189E+00 - 4.0000E-01 8.250E-01 1.187E+00 - 4.5000E-01 8.250E-01 1.185E+00 - 5.0000E-01 8.250E-01 1.182E+00 - - Statistics: - Time = 0.2500 - Total number of accepted timesteps = 161 - Total number of rejected timesteps = 2 - - Total number (rounded) of - Residual Jacobian Newton Lin sys - evals evals iters iters - At level - 1 1000 200 400 400 - 2 200 20 50 50 - - Maximum number of - Newton iters Lin sys iters - At level - 1 4 3 - 2 4 1 diff --git a/simple_examples/baseresults/d03rbje.r b/simple_examples/baseresults/d03rbje.r deleted file mode 100644 index f49a127..0000000 --- a/simple_examples/baseresults/d03rbje.r +++ /dev/null @@ -1,59 +0,0 @@ - D03RBJ Example Program Results - - Solution at every 2nd grid point in level 1 at time 1.0000: - - x y approx u exact u approx v exact v - - 0.00 0.00 0.50 0.50 1.00 1.00 - 0.20 0.00 0.50 0.50 1.00 1.00 - 0.10 0.10 0.50 0.50 1.00 1.00 - 0.30 0.10 0.50 0.50 1.00 1.00 - 0.50 0.10 0.50 0.50 1.00 1.00 - 0.70 0.10 0.50 0.50 1.00 1.00 - 0.90 0.10 0.50 0.50 1.00 1.00 - 0.00 0.20 0.50 0.50 1.00 1.00 - 0.20 0.20 0.50 0.50 1.00 1.00 - 0.40 0.20 0.50 0.50 1.00 1.00 - 0.60 0.20 0.50 0.50 1.00 1.00 - 0.80 0.20 0.50 0.50 1.00 1.00 - 1.00 0.20 0.50 0.50 1.00 1.00 - 0.10 0.30 0.50 0.50 1.00 1.00 - 0.30 0.30 0.50 0.50 1.00 1.00 - 0.50 0.30 0.50 0.50 1.00 1.00 - 0.70 0.30 0.50 0.50 1.00 1.00 - 0.90 0.30 0.50 0.50 1.00 1.00 - 0.00 0.40 0.75 0.75 0.75 0.75 - 0.20 0.40 0.50 0.50 1.00 1.00 - 0.40 0.40 0.50 0.50 1.00 1.00 - 0.80 0.40 0.50 0.50 1.00 1.00 - 1.00 0.40 0.50 0.50 1.00 1.00 - 0.10 0.50 0.75 0.75 0.75 0.75 - 0.30 0.50 0.50 0.50 1.00 1.00 - 0.50 0.50 0.50 0.50 1.00 1.00 - 0.70 0.50 0.50 0.50 1.00 1.00 - 0.90 0.50 0.50 0.50 1.00 1.00 - 0.00 0.60 0.75 0.75 0.75 0.75 - 0.20 0.60 0.75 0.75 0.75 0.75 - 0.40 0.60 0.50 0.50 1.00 1.00 - 0.60 0.60 0.50 0.50 1.00 1.00 - 0.80 0.60 0.50 0.50 1.00 1.00 - 1.00 0.60 0.50 0.50 1.00 1.00 - 0.10 0.70 0.75 0.75 0.75 0.75 - 0.30 0.70 0.75 0.75 0.75 0.75 - 0.50 0.70 0.50 0.50 1.00 1.00 - 0.70 0.70 0.50 0.50 1.00 1.00 - 0.90 0.70 0.50 0.50 1.00 1.00 - 0.00 0.80 0.75 0.75 0.75 0.75 - 0.20 0.80 0.75 0.75 0.75 0.75 - 0.40 0.80 0.75 0.75 0.75 0.75 - 0.60 0.80 0.50 0.50 1.00 1.00 - 0.80 0.80 0.50 0.50 1.00 1.00 - 0.10 0.90 0.75 0.75 0.75 0.75 - 0.30 0.90 0.75 0.75 0.75 0.75 - 0.50 0.90 0.75 0.75 0.75 0.75 - 0.70 0.90 0.50 0.50 1.00 1.00 - 0.00 1.00 0.75 0.75 0.75 0.75 - 0.20 1.00 0.75 0.75 0.75 0.75 - 0.40 1.00 0.75 0.75 0.75 0.75 - 0.60 1.00 0.75 0.75 0.75 0.75 - 0.80 1.00 0.50 0.50 1.00 1.00 diff --git a/simple_examples/baseresults/d05baje.r b/simple_examples/baseresults/d05baje.r deleted file mode 100644 index 0833ea2..0000000 --- a/simple_examples/baseresults/d05baje.r +++ /dev/null @@ -1,12 +0,0 @@ -D05BAJ Example Program Results - -Size of workplace = 486 -Tolerance = 1.0000e-03 - -T Approx. Sol. True Sol. Est. Error Actual Error -3.33 1.80037 1.80033 8.03776e-05 2.38466e-05 -6.67 2.23916 2.23911 1.77740e-04 2.34772e-05 -10.00 2.54310 2.54304 2.45949e-04 2.24564e-05 -13.33 2.77587 2.77581 3.05737e-04 2.17430e-05 -16.67 2.96456 2.96450 3.61698e-04 2.13821e-05 -20.00 3.12324 3.12317 4.17127e-04 2.13102e-05 diff --git a/simple_examples/baseresults/d05beje.r b/simple_examples/baseresults/d05beje.r deleted file mode 100644 index 95731f4..0000000 --- a/simple_examples/baseresults/d05beje.r +++ /dev/null @@ -1,46 +0,0 @@ -D05BEJ Example Program Results - -Example 1 - -The stepsize h = 0.1000 - - T Approximate - Solution - - 0.5000 0.1191 - 1.0000 0.0528 - 1.5000 0.0265 - 2.0000 0.0146 - 2.5000 0.0086 - 3.0000 0.0052 - 3.5000 0.0033 - 4.0000 0.0022 - 4.5000 0.0014 - 5.0000 0.0010 - 5.5000 0.0007 - 6.0000 0.0004 - 6.5000 0.0003 - 7.0000 0.0002 - -The maximum absolute error, 2.86e-03, occured at T = 0.1000 with solution 0.0326 - - -Example 2 - -The stepsize h = 0.0714 - - T Approximate - Solution - - 0.5000 0.6667 - 1.0000 0.5000 - 1.5000 0.4000 - 2.0000 0.3333 - 2.5000 0.2857 - 3.0000 0.2500 - 3.5000 0.2222 - 4.0000 0.2000 - 4.5000 0.1818 - 5.0000 0.1667 - -The maximum absolute error, 3.17e-06, occured at T = 0.0714 with solution 0.9333 \ No newline at end of file diff --git a/simple_examples/baseresults/dtfsmje.r b/simple_examples/baseresults/dtfsmje.r deleted file mode 100644 index 761a9ed..0000000 --- a/simple_examples/baseresults/dtfsmje.r +++ /dev/null @@ -1,10 +0,0 @@ - DTFSMJ Example Program Results - - The Solution - 1 2 3 4 - 1 13.5562 5.7677 9.7251 1.2209 - 2 -10.1040 -1.9787 -8.9252 -4.4205 - 3 -0.8280 0.2386 2.0348 2.0769 - 4 2.8488 -7.1745 -3.7925 -2.9505 - 5 -3.9321 0.8652 -1.4082 3.1217 - 6 -2.3127 1.8398 2.0152 1.5198 diff --git a/simple_examples/baseresults/e01daje.r b/simple_examples/baseresults/e01daje.r deleted file mode 100644 index a9c2ddb..0000000 --- a/simple_examples/baseresults/e01daje.r +++ /dev/null @@ -1,25 +0,0 @@ - E01DAJ Example Program Results - - I Knot LAMDA(I) J Knot MU(j) - 4 1.0000 4 0.0000 - 5 1.3000 5 0.4000 - 6 1.5000 6 0.7000 - 7 1.6000 7 1.0000 - 8 2.0000 - - The B-Spline coefficients: - 1.0000 1.1333 1.3667 1.7000 1.9000 2.0000 1.2000 1.3333 - 1.5667 1.9000 2.1000 2.2000 1.5833 1.7167 1.9500 2.2833 - 2.4833 2.5833 2.1433 2.2767 2.5100 2.8433 3.0433 3.1433 - 2.8667 3.0000 3.2333 3.5667 3.7667 3.8667 3.4667 3.6000 - 3.8333 4.1667 4.3667 4.4667 4.0000 4.1333 4.3667 4.7000 - 4.9000 5.0000 - - Spline evaluated on a regular mesh (X across, Y down): - 1.00 1.20 1.40 1.60 1.80 2.00 - 0.00 1.000 1.440 1.960 2.560 3.240 4.000 - 0.20 1.200 1.640 2.160 2.760 3.440 4.200 - 0.40 1.400 1.840 2.360 2.960 3.640 4.400 - 0.60 1.600 2.040 2.560 3.160 3.840 4.600 - 0.80 1.800 2.240 2.760 3.360 4.040 4.800 - 1.00 2.000 2.440 2.960 3.560 4.240 5.000 diff --git a/simple_examples/baseresults/e02alje.r b/simple_examples/baseresults/e02alje.r deleted file mode 100644 index 6dfc758..0000000 --- a/simple_examples/baseresults/e02alje.r +++ /dev/null @@ -1,24 +0,0 @@ -E02ALJ Example Program Results - - Polynomial coefficients - 1.0000e+00 - 1.0001e+00 - 4.9909e-01 - 1.7042e-01 - 3.4784e-02 - 1.3909e-02 - - Reference deviation = 1.09e-06 - - X Fit exp(x) Residual - 0.00 1.0000 1.0000 -1.09e-06 - 0.10 1.1052 1.1052 9.74e-07 - 0.20 1.2214 1.2214 -7.44e-07 - 0.30 1.3499 1.3499 -9.18e-07 - 0.40 1.4918 1.4918 2.99e-07 - 0.50 1.6487 1.6487 1.09e-06 - 0.60 1.8221 1.8221 4.59e-07 - 0.70 2.0138 2.0138 -8.16e-07 - 0.80 2.2255 2.2255 -8.42e-07 - 0.90 2.4596 2.4596 8.75e-07 - 1.00 2.7183 2.7183 -1.09e-06 diff --git a/simple_examples/baseresults/e04abje.r b/simple_examples/baseresults/e04abje.r deleted file mode 100644 index 18b685b..0000000 --- a/simple_examples/baseresults/e04abje.r +++ /dev/null @@ -1,6 +0,0 @@ -E04ABJ Example Program Results - -The minimum lies in the interval 4.49340940 to 4.49340951 -Its estimated position is 4.49340945, -where the function value is -0.2172 -10 function evaluations were required diff --git a/simple_examples/baseresults/e04bbje.r b/simple_examples/baseresults/e04bbje.r deleted file mode 100644 index 86a41ba..0000000 --- a/simple_examples/baseresults/e04bbje.r +++ /dev/null @@ -1,7 +0,0 @@ -E04BBJ Example Program Results - -The minimum lies in the interval 4.49340946 to 4.49340952 -Its estimated position is 4.49340946, -where the function value is -0.2172 -and the gradient is -3.8e-16 (machine dependent) -6 function evaluations were required diff --git a/simple_examples/baseresults/e04cbje.r b/simple_examples/baseresults/e04cbje.r deleted file mode 100644 index 67cd53d..0000000 --- a/simple_examples/baseresults/e04cbje.r +++ /dev/null @@ -1,4 +0,0 @@ -E04CBJ Example Program Results - -The final function value is 0.0000 -at the point 0.5000 -0.9999 diff --git a/simple_examples/baseresults/e04fcje.r b/simple_examples/baseresults/e04fcje.r deleted file mode 100644 index bd90f04..0000000 --- a/simple_examples/baseresults/e04fcje.r +++ /dev/null @@ -1,22 +0,0 @@ - E04FCJ Example Program Results - - On exit, the sum of squares is 0.0082 - at the point 0.0824 1.1330 2.3437 - The estimated gradient is -1.607e-09 -7.436e-11 6.130e-10 - (machine dependent) - and the residuals are - -5.9e-03 - -2.7e-04 - 2.7e-04 - 6.5e-03 - -8.2e-04 - -1.3e-03 - -4.5e-03 - -2.0e-02 - 8.2e-02 - -1.8e-02 - -1.5e-02 - -1.5e-02 - -1.1e-02 - -4.2e-03 - 6.8e-03 diff --git a/simple_examples/baseresults/e04ffje.r b/simple_examples/baseresults/e04ffje.r deleted file mode 100644 index a772ab7..0000000 --- a/simple_examples/baseresults/e04ffje.r +++ /dev/null @@ -1,73 +0,0 @@ - E04FFJ Example Program Results - - --------------------------------------------------- - E04F(G|F)), Derivative free solver for data fitting - (nonlinear least-squares problems) - --------------------------------------------------- - - Problem statistics - Number of variables 4 - Number of unconstrained variables 2 - Number of fixed variables 0 - Starting interpolation points 5 - Total interpolation points 5 - Number of residuals 11 - - Begin of Options - Print File = 6 * d - Print Level = 2 * d - Print Options = Yes * d - Print Solution = All * U - Monitoring File = -1 * d - Monitoring Level = 4 * d - Dfo Print Frequency = 1 * d - Dfo Monitor Frequency = 0 * d - - Infinite Bound Size = 1.00000E+20 * d - Stats Time = No * d - Time Limit = 1.00000E+06 * d - - Dfo Initial Interp Points = Coordinate * d - Dfo Max Objective Calls = 500 * d - Dfo Max Soft Restarts = 5 * d - Dfo Max Unsucc Soft Restarts = 3 * d - Dfo Maximum Slow Steps = 20 * d - Dfo Noise Level = 0.00000E+00 * d - Dfo Noisy Problem = No * d - Dfo Number Initial Points = 0 * d - Dfo Number Interp Points = 0 * d - Dfo Number Soft Restarts Pts = 3 * d - Dfo Random Seed = -1 * d - Dfo Starting Trust Region = 1.00000E-01 * d - Dfo Trust Region Slow Tol = 1.02648E-04 * d - Dfo Trust Region Tolerance = 5.00000E-06 * U - Dfo Version = Latest * d - Dfls Small Residuals Tol = 1.08158E-12 * d - End of Options - ---------------------------------------- - step | obj rho | nf | - ---------------------------------------- - 1 | 1.72E-03 1.00E-01 | 6 | - 2 | 6.41E-04 1.00E-01 | 7 | - 3 | 4.52E-04 1.00E-01 | 8 | - 4 | 4.05E-04 1.00E-02 | 9 | - 5 | 4.04E-04 1.00E-02 | 10 | - 6 | 4.03E-04 1.00E-02 | 14 | - 7 | 4.02E-04 1.00E-02 | 15 | - 8 | 4.02E-04 1.00E-03 | 20 | - 9 | 4.02E-04 7.07E-05 | 21 | - 10 | 4.02E-04 7.07E-05 | 23 | s - ---------------------------------------- - Status: Converged, small trust region size - - Value of the objective 4.02423E-04 - Number of objective function evaluations 27 - Number of steps 10 - - - Primal variables: - idx Lower bound Value Upper bound - 1 -inf 1.81300E-01 inf - 2 2.00000E-01 5.90128E-01 1.00000E+00 - 3 -inf 2.56929E-01 inf - 4 3.00000E-01 3.00000E-01 inf diff --git a/simple_examples/baseresults/e04gbje.r b/simple_examples/baseresults/e04gbje.r deleted file mode 100644 index 6e9e25e..0000000 --- a/simple_examples/baseresults/e04gbje.r +++ /dev/null @@ -1,22 +0,0 @@ - E04GBJ Example Program Results - - On exit, the sum of squares is 0.0082 - at the point 0.0824 1.1330 2.3437 - The corresponding gradient is 1.199E-09 -1.865E-11 1.807E-11 - (machine dependent) - and the residuals are - -5.9E-03 - -2.7E-04 - 2.7E-04 - 6.5E-03 - -8.2E-04 - -1.3E-03 - -4.5E-03 - -2.0E-02 - 8.2E-02 - -1.8E-02 - -1.5E-02 - -1.5E-02 - -1.1E-02 - -4.2E-03 - 6.8E-03 diff --git a/simple_examples/baseresults/e04ggje.r b/simple_examples/baseresults/e04ggje.r deleted file mode 100644 index b5dd970..0000000 --- a/simple_examples/baseresults/e04ggje.r +++ /dev/null @@ -1,44 +0,0 @@ - E04GGJ Example Program Results - - E04GG, Nonlinear least squares method for bound-constrained problems - Begin of Options - Print File = 6 * d - Print Level = 1 * U - Print Options = Yes * d - Print Solution = No * d - Monitoring File = -1 * d - Monitoring Level = 4 * d - - Infinite Bound Size = 1.00000E+20 * d - Stats Time = No * d - Time Limit = 1.00000E+06 * d - - Bxnl Model = Gauss-newton * U - Bxnl Nlls Method = Galahad * d - Bxnl Glob Method = Reg * U - Bxnl Reg Order = Auto * d - Bxnl Tn Method = Min-1-var * d - Bxnl Basereg Type = None * d - Bxnl Basereg Pow = 2.00000E+00 * d - Bxnl Basereg Term = 1.00000E-02 * d - Bxnl Iteration Limit = 1000 * d - Bxnl Monitor Frequency = 0 * d - Bxnl Print Header = 30 * d - Bxnl Save Covariance Matrix = No * d - Bxnl Stop Abs Tol Fun = 1.05367E-08 * d - Bxnl Stop Abs Tol Grd = 1.05737E-05 * d - Bxnl Stop Rel Tol Fun = 1.05367E-08 * d - Bxnl Stop Rel Tol Grd = 1.05367E-08 * d - Bxnl Stop Step Tol = 2.22045E-16 * d - Bxnl Use Second Derivatives = Yes * U - Bxnl Use Weights = No * d - End of Options - - Status: converged, an optimal solution was found - Value of the objective 2.17328E-06 - Norm of projected gradient 1.51989E-08 - Norm of scaled projected gradient 7.29019E-06 - Norm of step 4.98107E-04 - -Solver stored solution iterate in the handle -X: 4.45E-01 1.87E+00 3.07E+00 4.64E+00 -9.98E-01 4.64E+00 diff --git a/simple_examples/baseresults/e04mtje.r b/simple_examples/baseresults/e04mtje.r deleted file mode 100644 index 033d40f..0000000 --- a/simple_examples/baseresults/e04mtje.r +++ /dev/null @@ -1,162 +0,0 @@ - E04MTJ Example Program Results - -++++++++++ Use the Primal-Dual algorithm ++++++++++ - - ---------------------------------------------- - E04MT, Interior point method for LP problems - ---------------------------------------------- - - Original Problem Statistics - - Number of variables 7 - Number of constraints 7 - Free variables 0 - Number of nonzeros 41 - - - Presolved Problem Statistics - - Number of variables 13 - Number of constraints 7 - Free variables 0 - Number of nonzeros 47 - - - ------------------------------------------------------------------------------ - it| pobj | dobj | optim | feas | compl | mu | mcc | I - ------------------------------------------------------------------------------ - 0 -7.86591E-02 1.71637E-02 1.27E+00 1.06E+00 8.89E-02 1.5E-01 - 1 5.74135E-03 -2.24369E-02 6.11E-16 1.75E-01 2.25E-02 2.8E-02 0 - 2 1.96803E-02 1.37067E-02 5.06E-16 2.28E-02 2.91E-03 3.4E-03 0 - 3 2.15232E-02 1.96162E-02 7.00E-15 9.24E-03 1.44E-03 1.7E-03 0 - 4 2.30321E-02 2.28676E-02 1.15E-15 2.21E-03 2.97E-04 3.4E-04 0 - 5 2.35658E-02 2.35803E-02 1.32E-15 1.02E-04 8.41E-06 9.6E-06 0 - 6 2.35965E-02 2.35965E-02 1.64E-15 7.02E-08 6.35E-09 7.2E-09 0 -Iteration 7 - monit() reports good approximate solution (tol = 1.20E-08): - 7 2.35965E-02 2.35965E-02 1.35E-15 3.52E-11 3.18E-12 3.6E-12 0 - ------------------------------------------------------------------------------ - Status: converged, an optimal solution found - ------------------------------------------------------------------------------ - Final primal objective value 2.359648E-02 - Final dual objective value 2.359648E-02 - Absolute primal infeasibility 4.168797E-15 - Relative primal infeasibility 1.350467E-15 - Absolute dual infeasibility 5.084353E-11 - Relative dual infeasibility 3.518607E-11 - Absolute complementarity gap 2.685778E-11 - Relative complementarity gap 3.175366E-12 - Iterations 7 - - Primal variables: - idx Lower bound Value Upper bound - 1 -1.00000E-02 -1.00000E-02 1.00000E-02 - 2 -1.00000E-01 -1.00000E-01 1.50000E-01 - 3 -1.00000E-02 3.00000E-02 3.00000E-02 - 4 -4.00000E-02 2.00000E-02 2.00000E-02 - 5 -1.00000E-01 -6.74853E-02 5.00000E-02 - 6 -1.00000E-02 -2.28013E-03 inf - 7 -1.00000E-02 -2.34528E-04 inf - - Box bounds dual variables: - idx Lower bound Value Upper bound Value - 1 -1.00000E-02 3.30098E-01 1.00000E-02 0.00000E+00 - 2 -1.00000E-01 1.43844E-02 1.50000E-01 0.00000E+00 - 3 -1.00000E-02 0.00000E+00 3.00000E-02 9.09967E-02 - 4 -4.00000E-02 0.00000E+00 2.00000E-02 7.66124E-02 - 5 -1.00000E-01 3.51391E-11 5.00000E-02 0.00000E+00 - 6 -1.00000E-02 3.42902E-11 inf 0.00000E+00 - 7 -1.00000E-02 8.61040E-12 inf 0.00000E+00 - - Constraints dual variables: - idx Lower bound Value Upper bound Value - 1 -1.30000E-01 0.00000E+00 -1.30000E-01 1.43111E+00 - 2 -inf 0.00000E+00 -4.90000E-03 4.00339E-10 - 3 -inf 0.00000E+00 -6.40000E-03 1.54305E-08 - 4 -inf 0.00000E+00 -3.70000E-03 3.80136E-10 - 5 -inf 0.00000E+00 -1.20000E-03 4.72629E-11 - 6 -9.92000E-02 1.50098E+00 inf 0.00000E+00 - 7 -3.00000E-03 1.51661E+00 2.00000E-03 0.00000E+00 - -++++++++++ Use the Self-Dual algorithm ++++++++++ - - ---------------------------------------------- - E04MT, Interior point method for LP problems - ---------------------------------------------- - - Original Problem Statistics - - Number of variables 7 - Number of constraints 7 - Free variables 0 - Number of nonzeros 41 - - - Presolved Problem Statistics - - Number of variables 13 - Number of constraints 7 - Free variables 0 - Number of nonzeros 47 - - - ------------------------------------------------------------------------------ - it| pobj | dobj | p.inf | d.inf | d.gap | tau | mcc | I - ------------------------------------------------------------------------------ - 0 -6.39941E-01 4.94000E-02 1.07E+01 2.69E+00 5.54E+00 1.0E+00 - 1 -8.56025E-02 -1.26938E-02 2.07E-01 2.07E-01 2.07E-01 1.7E+00 0 - 2 4.09196E-03 1.24373E-02 4.00E-02 4.00E-02 4.00E-02 2.8E+00 0 - 3 1.92404E-02 2.03658E-02 6.64E-03 6.64E-03 6.64E-03 3.2E+00 1 - 4 1.99631E-02 2.07574E-02 3.23E-03 3.23E-03 3.23E-03 2.3E+00 1 - 5 2.03834E-02 2.11141E-02 1.68E-03 1.68E-03 1.68E-03 1.4E+00 0 - 6 2.22419E-02 2.25057E-02 5.73E-04 5.73E-04 5.73E-04 1.4E+00 1 - 7 2.35051E-02 2.35294E-02 6.58E-05 6.58E-05 6.58E-05 1.4E+00 6 - 8 2.35936E-02 2.35941E-02 1.19E-06 1.19E-06 1.19E-06 1.4E+00 0 -Iteration 9 - monit() reports good approximate solution (tol = 1.20E-08): - 9 2.35965E-02 2.35965E-02 5.37E-10 5.37E-10 5.37E-10 1.4E+00 0 -Iteration 10 - monit() reports good approximate solution (tol = 1.20E-08): - 10 2.35965E-02 2.35965E-02 2.68E-13 2.68E-13 2.68E-13 1.4E+00 0 - ------------------------------------------------------------------------------ - Status: converged, an optimal solution found - ------------------------------------------------------------------------------ - Final primal objective value 2.359648E-02 - Final dual objective value 2.359648E-02 - Absolute primal infeasibility 2.853383E-12 - Relative primal infeasibility 2.677658E-13 - Absolute dual infeasibility 1.485749E-12 - Relative dual infeasibility 2.679654E-13 - Absolute complementarity gap 7.228861E-13 - Relative complementarity gap 2.683908E-13 - Iterations 10 - - Primal variables: - idx Lower bound Value Upper bound - 1 -1.00000E-02 -1.00000E-02 1.00000E-02 - 2 -1.00000E-01 -1.00000E-01 1.50000E-01 - 3 -1.00000E-02 3.00000E-02 3.00000E-02 - 4 -4.00000E-02 2.00000E-02 2.00000E-02 - 5 -1.00000E-01 -6.74853E-02 5.00000E-02 - 6 -1.00000E-02 -2.28013E-03 inf - 7 -1.00000E-02 -2.34528E-04 inf - - Box bounds dual variables: - idx Lower bound Value Upper bound Value - 1 -1.00000E-02 3.30098E-01 1.00000E-02 0.00000E+00 - 2 -1.00000E-01 1.43844E-02 1.50000E-01 0.00000E+00 - 3 -1.00000E-02 0.00000E+00 3.00000E-02 9.09967E-02 - 4 -4.00000E-02 0.00000E+00 2.00000E-02 7.66124E-02 - 5 -1.00000E-01 3.66960E-12 5.00000E-02 0.00000E+00 - 6 -1.00000E-02 2.47652E-11 inf 0.00000E+00 - 7 -1.00000E-02 7.82645E-13 inf 0.00000E+00 - - Constraints dual variables: - idx Lower bound Value Upper bound Value - 1 -1.30000E-01 0.00000E+00 -1.30000E-01 1.43111E+00 - 2 -inf 0.00000E+00 -4.90000E-03 1.07904E-10 - 3 -inf 0.00000E+00 -6.40000E-03 1.14799E-09 - 4 -inf 0.00000E+00 -3.70000E-03 4.09190E-12 - 5 -inf 0.00000E+00 -1.20000E-03 1.52421E-12 - 6 -9.92000E-02 1.50098E+00 inf 0.00000E+00 - 7 -3.00000E-03 1.51661E+00 2.00000E-03 0.00000E+00 diff --git a/simple_examples/baseresults/e04mxje.r b/simple_examples/baseresults/e04mxje.r deleted file mode 100644 index 1928db4..0000000 --- a/simple_examples/baseresults/e04mxje.r +++ /dev/null @@ -1,38 +0,0 @@ - E04MXJ Example Program Results - - MPSX INPUT LISTING - ------------------ - Searching for indicator line - Line 1: Found NAME indicator line - Query mode - Ignoring NAME data. - Line 2: Found ROWS indicator line - Query mode - Counting ROWS data. - Line 7: Found COLUMNS indicator line - Query mode - Counting COLUMNS data. - Line 26: Found RHS indicator line - Query mode - Ignoring RHS data. - Line 31: Found RANGES indicator line - Query mode - Ignoring RANGES data. - Line 35: Found BOUNDS indicator line - Query mode - Counting BOUNDS data. - Line 54: Found QUADOBJ indicator line - Query mode - Counting QUADOBJ data. - Query mode - End of QUADOBJ data. Exit - - MPSX INPUT LISTING - ------------------ - Searching for indicator line - Line 1: Found NAME indicator line - Line 2: Found ROWS indicator line - Line 7: Found COLUMNS indicator line - Line 26: Found RHS indicator line - Line 31: Found RANGES indicator line - Line 35: Found BOUNDS indicator line - Line 54: Found QUADOBJ indicator line - Line 64: Found ENDATA indicator line - - Problem contains 9 variables and 4 linear constraints - - Final objective value = -8.068E+00 - Optimal X = - 2.00 -0.23 -0.27 -0.30 -0.10 2.00 2.00 -1.78 -0.46 diff --git a/simple_examples/baseresults/e04ncje.r b/simple_examples/baseresults/e04ncje.r deleted file mode 100644 index 65a6326..0000000 --- a/simple_examples/baseresults/e04ncje.r +++ /dev/null @@ -1,23 +0,0 @@ - E04NCJ Example Program Results - - Varbl Istate Value Lagr Mult - - V 1 1 0.000E+00 1.572E-01 - V 2 0 4.153E-02 0.000E+00 - V 3 0 5.872E-01 0.000E+00 - V 4 1 0.000E+00 8.782E-01 - V 5 0 9.964E-02 0.000E+00 - V 6 1 0.000E+00 1.473E-01 - V 7 0 4.906E-02 0.000E+00 - V 8 1 0.000E+00 8.603E-01 - V 9 0 3.056E-01 0.000E+00 - - - L Con Istate Value Lagr Mult - - L 1 1 2.000E+00 3.777E-01 - L 2 2 2.000E+00 -5.791E-02 - L 3 1 1.000E+00 1.075E-01 - - - Final objective value = 8.134E-02 diff --git a/simple_examples/baseresults/e04nfje.r b/simple_examples/baseresults/e04nfje.r deleted file mode 100644 index 13101d2..0000000 --- a/simple_examples/baseresults/e04nfje.r +++ /dev/null @@ -1,66 +0,0 @@ - E04NFJ Example Program Results - - *** e04nf - - Parameters - ---------- - - Problem type........... QP2 - - Linear constraints..... 7 Feasibility tolerance.. 1.05E-08 - Variables.............. 7 Optimality tolerance... 1.05E-08 - Hessian rows........... 7 Rank tolerance......... 1.11E-14 - - Infinite bound size.... 1.00E+20 COLD start............. - Infinite step size..... 1.00E+20 EPS (machine precision) 1.11E-16 - - Check frequency........ 50 Expand frequency....... 5 - Minimum sum of infeas.. NO Crash tolerance........ 1.00E-02 - - Max degrees of freedom. 7 Print level............ 10 - Feasibility phase itns. 70 Monitoring file........ -1 - Optimality phase itns. 70 - - Workspace provided is IWORK( 17), WORK( 189). - To solve problem we need IWORK( 17), WORK( 189). - - - Itn Step Ninf Sinf/Objective Norm Gz - 0 0.0E+00 3 1.038000E-01 0.0E+00 - 1 4.1E-02 1 3.000000E-02 0.0E+00 - 2 4.2E-02 0 0.000000E+00 0.0E+00 - Itn 2 -- Feasible point found. - 2 0.0E+00 0 4.580000E-02 0.0E+00 - 3 1.3E-01 0 4.161596E-02 0.0E+00 - 4 1.0E+00 0 3.936227E-02 4.2E-17 - 5 4.1E-01 0 3.758935E-02 1.2E-02 - 6 1.0E+00 0 3.755377E-02 1.0E-17 - 7 1.0E+00 0 3.703165E-02 3.8E-17 - - - Varbl State Value Lower Bound Upper Bound Lagr Mult Slack - - V 1 LL -1.000000E-02 -1.000000E-02 1.000000E-02 0.4700 . - V 2 FR -6.986465E-02 -0.100000 0.150000 . 3.0135E-02 - V 3 FR 1.825915E-02 -1.000000E-02 3.000000E-02 . 1.1741E-02 - V 4 FR -2.426081E-02 -4.000000E-02 2.000000E-02 . 1.5739E-02 - V 5 FR -6.200564E-02 -0.100000 5.000000E-02 . 3.7994E-02 - V 6 FR 1.380544E-02 -1.000000E-02 None . 2.3805E-02 - V 7 FR 4.066496E-03 -1.000000E-02 None . 1.4066E-02 - - - L Con State Value Lower Bound Upper Bound Lagr Mult Slack - - L 1 EQ -0.130000 -0.130000 -0.130000 -1.908 -5.5511E-17 - L 2 FR -5.879898E-03 None -4.900000E-03 . 9.7990E-04 - L 3 UL -6.400000E-03 None -6.400000E-03 -0.3144 8.6736E-19 - L 4 FR -4.537323E-03 None -3.700000E-03 . 8.3732E-04 - L 5 FR -2.915996E-03 None -1.200000E-03 . 1.7160E-03 - L 6 LL -9.920000E-02 -9.920000E-02 None 1.955 . - L 7 LL -3.000000E-03 -3.000000E-03 2.000000E-03 1.972 4.3368E-18 - - Exit e04nf - Optimal QP solution. - - Final QP objective value = 0.3703165E-01 - - Exit from QP problem after 7 iterations. diff --git a/simple_examples/baseresults/e04nkje.r b/simple_examples/baseresults/e04nkje.r deleted file mode 100644 index bbfdea9..0000000 --- a/simple_examples/baseresults/e04nkje.r +++ /dev/null @@ -1,26 +0,0 @@ -E04NKJ Example Program Results - - Variable Istate Value Lagr Mult - - ...X1... 0 0.00000 2361 - ...X2... 3 349.399 -3.657e-12 - ...X3... 2 648.853 -5.924e-12 - ...X4... 2 172.847 1.949e-12 - ...X5... 3 407.521 0.000 - ...X6... 3 271.356 -3.280e-12 - ...X7... 3 150.023 -1.413e-12 - - - Constrnt Istate Value Lagr Mult - - ..ROW1.. 0 2000.00 -1.290e+04 - ..ROW2.. 3 49.2316 0.000 - ..ROW3.. 1 100.000 -2325 - ..ROW4.. 3 32.0719 0.000 - ..ROW5.. 3 14.5572 0.000 - ..ROW6.. 0 1500.00 1.445e+04 - ..ROW7.. 0 250.000 1.458e+04 - ..COST.. 3 -2.98869e+06 -1.000 - - -Final objetive value = -1847785 diff --git a/simple_examples/baseresults/e04nqje.r b/simple_examples/baseresults/e04nqje.r deleted file mode 100644 index 8515ce8..0000000 --- a/simple_examples/baseresults/e04nqje.r +++ /dev/null @@ -1,6 +0,0 @@ - E04NQJ Example Program Results - - QP problem contains 7 variables and 8 linear constraints - - Final objective value = -1.848E+06 - Optimal X = 0.00 349.40 648.85 172.85 407.52 271.36 150.02 diff --git a/simple_examples/baseresults/e04ptje.r b/simple_examples/baseresults/e04ptje.r deleted file mode 100644 index 24d78ba..0000000 --- a/simple_examples/baseresults/e04ptje.r +++ /dev/null @@ -1,39 +0,0 @@ -E04PTJ Example Program Results - - - ------------------------------------------------ - E04PT, Interior point method for SOCP problems - ------------------------------------------------ - - Begin of Options - Print File = 6 * d - Print Level = 1 * U - Print Options = Yes * d - Print Solution = No * d - Monitoring File = -1 * d - Monitoring Level = 4 * d - Socp Monitor Frequency = 1 * U - - Infinite Bound Size = 1.00000E+20 * d - Task = Minimize * d - Stats Time = No * d - Time Limit = 1.00000E+06 * d - - Socp Iteration Limit = 100 * d - Socp Max Iterative Refinement = 9 * d - Socp Presolve = Yes * d - Socp Scaling = None * d - Socp Stop Tolerance = 1.05367E-08 * d - Socp Stop Tolerance 2 = 1.05367E-08 * d - Socp System Formulation = Auto * d - End of Options - -monit() reports good approximate solution (tol = 1.00E-07) - Status: converged, an optimal solution found - Final primal objective value 2.571350E+00 - Final dual objective value 2.571350E+00 - Optimal X: - x_idx Value - 1 1.174E+00 - 2 -4.257E+00 - 3 9.814E-01 diff --git a/simple_examples/baseresults/e04rpje.r b/simple_examples/baseresults/e04rpje.r deleted file mode 100644 index 93e29fb..0000000 --- a/simple_examples/baseresults/e04rpje.r +++ /dev/null @@ -1,105 +0,0 @@ -E04RPJ Example Program Results - -Passing SDP problem to solver - - Overview - Status: Problem and option settings are editable. - No of variables: 5 - Objective function: linear - Simple bounds: not defined yet - Linear constraints: not defined yet - Nonlinear constraints: not defined yet - Cone constraints: not defined yet - Matrix constraints: 2 - Matrix constraints - IDblk = 1, size = 2 x 2, polynomial of order 2 - IDblk = 2, size = 2 x 2, linear - E04SV, NLP-SDP Solver (Pennon) - ------------------------------ - Number of variables 5 [eliminated 0] - simple linear nonlin - (Standard) inequalities 0 0 0 - (Standard) equalities 0 0 - Matrix inequalities 1 1 [dense 2, sparse 0] - [max dimension 2] - - Begin of Options - Print File = 6 * d - Print Level = 2 * d - Print Options = Yes * d - Monitoring File = -1 * d - Monitoring Level = 4 * d - Monitor Frequency = 0 * d - - Infinite Bound Size = 1.00000E+20 * d - Task = Minimize * d - Stats Time = No * d - - Dimacs Measures = No * S - Hessian Density = Dense * S - Init Value P = 1.00000E+00 * d - Init Value Pmat = 1.00000E+00 * d - Initial P = Automatic * d - Initial U = Automatic * d - Initial X = User * d - Inner Iteration Limit = 100 * d - Inner Stop Criteria = Heuristic * d - Inner Stop Tolerance = 1.00000E-02 * d - Linesearch Mode = Goldstein * S - Outer Iteration Limit = 100 * d - P Min = 1.05367E-08 * d - P Update Speed = 12 * d - Pmat Min = 1.05367E-08 * d - Preference = Speed * d - Presolve Block Detect = Yes * d - Stop Criteria = Soft * d - Stop Tolerance 1 = 1.00000E-06 * d - Stop Tolerance 2 = 1.00000E-07 * d - Stop Tolerance Feasibility = 1.00000E-07 * d - Transform Constraints = No * S - U Update Restriction = 5.00000E-01 * d - Umat Update Restriction = 3.00000E-01 * d - End of Options - -------------------------------------------------------------- - it| objective | optim | feas | compl | pen min |inner - -------------------------------------------------------------- - 0 0.00000E+00 1.82E+01 1.00E+00 4.00E+00 2.00E+00 0 - 1 4.11823E+00 3.85E-03 0.00E+00 1.73E+00 2.00E+00 6 - 2 2.58252E+00 5.36E-03 0.00E+00 4.93E-01 9.04E-01 4 - 3 2.06132E+00 1.02E-03 0.00E+00 7.70E-02 4.08E-01 4 - 4 2.00050E+00 3.00E-03 8.91E-03 1.78E-02 1.85E-01 3 - 5 1.99929E+00 1.55E-03 3.16E-03 3.65E-03 8.34E-02 2 - 6 1.99985E+00 1.03E-04 3.16E-04 7.19E-04 3.77E-02 4 - 7 1.99997E+00 7.04E-04 5.76E-05 1.41E-04 1.70E-02 1 - 8 2.00000E+00 1.32E-04 6.52E-06 2.76E-05 7.70E-03 1 - 9 2.00000E+00 8.49E-06 7.86E-07 5.37E-06 3.48E-03 1 - 10 2.00000E+00 5.88E-07 1.06E-07 1.04E-06 1.57E-03 1 - 11 2.00000E+00 5.55E-08 4.87E-08 2.02E-07 7.11E-04 1 - 12 2.00000E+00 5.34E-09 5.37E-09 3.93E-08 3.21E-04 1 - 13 2.00000E+00 5.03E-10 5.45E-09 7.62E-09 1.45E-04 1 - 14 2.00000E+00 4.45E-11 5.55E-09 1.48E-09 6.56E-05 1 - -------------------------------------------------------------- - it| objective | optim | feas | compl | pen min |inner - -------------------------------------------------------------- - 15 2.00000E+00 4.36E-12 5.67E-09 2.87E-10 2.96E-05 1 - 16 2.00000E+00 1.61E-11 5.82E-09 5.57E-11 1.34E-05 1 - 17 2.00000E+00 3.13E-11 6.00E-09 1.08E-11 6.06E-06 1 - 18 2.00000E+00 8.65E-11 6.22E-09 2.10E-12 2.74E-06 1 - 19 2.00000E+00 1.31E-10 6.48E-09 4.07E-13 1.24E-06 1 - -------------------------------------------------------------- - Status: converged, an optimal solution found - -------------------------------------------------------------- - Final objective value 2.000000E+00 - Relative precision 8.141636E-16 - Optimality 1.310533E-10 - Feasibility 6.484489E-09 - Complementarity 4.066867E-13 - Iteration counts - Outer iterations 19 - Inner iterations 36 - Linesearch steps 56 - Evaluation counts - Augm. Lagr. values 76 - Augm. Lagr. gradient 56 - Augm. Lagr. hessian 36 - -------------------------------------------------------------- \ No newline at end of file diff --git a/simple_examples/baseresults/e04rsje.r b/simple_examples/baseresults/e04rsje.r deleted file mode 100644 index 170a9e9..0000000 --- a/simple_examples/baseresults/e04rsje.r +++ /dev/null @@ -1,35 +0,0 @@ - E04RSJ Example Program Results - E04PT, Interior point method for SOCP problems - Begin of Options - Print File = 6 * d - Print Level = 1 * U - Print Options = Yes * d - Print Solution = No * d - Monitoring File = -1 * d - Monitoring Level = 4 * d - Socp Monitor Frequency = 1 * U - - Infinite Bound Size = 1.00000E+20 * d - Task = Minimize * d - Stats Time = No * d - Time Limit = 1.00000E+06 * d - - Socp Iteration Limit = 100 * d - Socp Max Iterative Refinement = 9 * d - Socp Presolve = Yes * d - Socp Scaling = None * d - Socp Stop Tolerance = 1.05367E-08 * d - Socp Stop Tolerance 2 = 1.05367E-08 * d - Socp System Formulation = Auto * d - End of Options - - - monit() reports good approximate solution (tol = 1.00e-07) - Status: converged, an optimal solution found - Final primal objective value 2.571350E+00 - Final dual objective value 2.571350E+00 - Optimal X: - x_idx Value - 0 1.174e+00 - 1 -4.257e+00 - 2 9.814e-01 diff --git a/simple_examples/baseresults/e04rtje.r b/simple_examples/baseresults/e04rtje.r deleted file mode 100644 index 65ffe25..0000000 --- a/simple_examples/baseresults/e04rtje.r +++ /dev/null @@ -1,35 +0,0 @@ - E04RTJ Example Program Results - E04PT, Interior point method for SOCP problems - Begin of Options - Print File = 6 * d - Print Level = 1 * U - Print Options = Yes * d - Print Solution = No * d - Monitoring File = -1 * d - Monitoring Level = 4 * d - Socp Monitor Frequency = 1 * U - - Infinite Bound Size = 1.00000E+20 * d - Task = Minimize * d - Stats Time = No * d - Time Limit = 1.00000E+06 * d - - Socp Iteration Limit = 100 * d - Socp Max Iterative Refinement = 9 * d - Socp Presolve = Yes * d - Socp Scaling = None * d - Socp Stop Tolerance = 1.05367E-08 * d - Socp Stop Tolerance 2 = 1.05367E-08 * d - Socp System Formulation = Auto * d - End of Options - - - monit() reports good approximate solution (tol = 1.00e-07) - Status: converged, an optimal solution found - Final primal objective value 1.313004E-01 - Final dual objective value 1.313004E-01 - Optimal X: - x_idx Value - 0 1.000e+00 - 1 -9.722e-01 - 2 9.722e-01 diff --git a/simple_examples/baseresults/e04saje.r b/simple_examples/baseresults/e04saje.r deleted file mode 100644 index c10990a..0000000 --- a/simple_examples/baseresults/e04saje.r +++ /dev/null @@ -1,33 +0,0 @@ - E04SAJ Example Program Results - E04PT, Interior point method for SOCP problems - Begin of Options - Print File = 6 * d - Print Level = 1 * U - Print Options = Yes * d - Print Solution = No * d - Monitoring File = -1 * d - Monitoring Level = 4 * d - Socp Monitor Frequency = 0 * d - - Infinite Bound Size = 1.00000E+20 * d - Task = Minimize * d - Stats Time = No * d - Time Limit = 1.00000E+06 * d - - Socp Iteration Limit = 100 * d - Socp Max Iterative Refinement = 9 * d - Socp Presolve = Yes * d - Socp Scaling = None * d - Socp Stop Tolerance = 1.05367E-08 * d - Socp Stop Tolerance 2 = 1.05367E-08 * d - Socp System Formulation = Auto * d - End of Options - - Status: converged, an optimal solution found - Final primal objective value -1.951817E+01 - Final dual objective value -1.951817E+01 - Optimal X: - x_idx Value - 0 -1.26819e+00 - 1 -4.08429e-01 - 2 1.33234e+00 diff --git a/simple_examples/baseresults/e04taje.r b/simple_examples/baseresults/e04taje.r deleted file mode 100644 index a6cf135..0000000 --- a/simple_examples/baseresults/e04taje.r +++ /dev/null @@ -1,39 +0,0 @@ - E04TAJ Example Program Results - - Solve the first LP - - E04MT, Interior point method for LP problems - Status: converged, an optimal solution found - Final primal objective value 8.500000E+02 - Final dual objective value 8.500000E+02 - - Primal variables: - idx Lower bound Value Upper bound - 1 0.00000E+00 2.00000E+02 inf - 2 0.00000E+00 1.00000E+02 1.00000E+02 - - The new variable has been added, solve the handle again - - E04MT, Interior point method for LP problems - Status: converged, an optimal solution found - Final primal objective value 9.000000E+02 - Final dual objective value 9.000000E+02 - - Primal variables: - idx Lower bound Value Upper bound - 1 0.00000E+00 5.00000E+01 inf - 2 0.00000E+00 1.00000E+02 1.00000E+02 - 3 0.00000E+00 5.00000E+01 5.00000E+01 - - The new constraint has been added, solve the handle again - - E04MT, Interior point method for LP problems - Status: converged, an optimal solution found - Final primal objective value 8.750000E+02 - Final dual objective value 8.750000E+02 - - Primal variables: - idx Lower bound Value Upper bound - 1 0.00000E+00 1.50000E+02 inf - 2 0.00000E+00 5.00000E+01 1.00000E+02 - 3 0.00000E+00 5.00000E+01 5.00000E+01 diff --git a/simple_examples/baseresults/e04tcje.r b/simple_examples/baseresults/e04tcje.r deleted file mode 100644 index cd501a1..0000000 --- a/simple_examples/baseresults/e04tcje.r +++ /dev/null @@ -1,58 +0,0 @@ - E04TCJ Example Program Results - - First solve the problem with the outliers - - -------------------------------------------------------- - E04GG, Nonlinear least squares method for bound-constrained problems - Status: converged, an optimal solution was found - Value of the objective 1.05037E+00 - Norm of gradient 8.78014E-06 - Norm of scaled gradient 6.05781E-06 - Norm of step 1.47886E-01 - - Primal variables: - idx Lower bound Value Upper bound - 1 -inf 3.61301E-01 inf - 2 -inf 9.10227E-01 inf - 3 -inf 3.42138E-03 inf - 4 -inf -6.08965E+00 inf - 5 -inf 6.24881E-04 inf - -------------------------------------------------------- - - Now remove the outlier residuals from the problem handle - - -------------------------------------------------------- - E04GG, Nonlinear least squares method for bound-constrained problems - Status: converged, an optimal solution was found - Value of the objective 5.96811E-02 - Norm of gradient 1.19914E-06 - Norm of scaled gradient 3.47087E-06 - Norm of step 3.49256E-06 - - Primal variables: - idx Lower bound Value Upper bound - 1 -inf 3.53888E-01 inf - 2 -inf 1.06575E+00 inf - 3 -inf 1.91383E-03 inf - 4 -inf 2.17299E-01 inf - 5 -inf 5.17660E+00 inf - -------------------------------------------------------- - - Assuming the outliers points are measured again - we can enable the residuals and adjust the values - - -------------------------------------------------------- - E04GG, Nonlinear least squares method for bound-constrained problems - Status: converged, an optimal solution was found - Value of the objective 6.51802E-02 - Norm of gradient 2.57338E-07 - Norm of scaled gradient 7.12740E-07 - Norm of step 1.56251E-05 - - Primal variables: - idx Lower bound Value Upper bound - 1 3.00000E-01 3.00000E-01 3.00000E-01 - 2 -inf 1.06039E+00 inf - 3 -inf 2.11765E-02 inf - 4 -inf 2.11749E-01 inf - 5 -inf 5.16415E+00 inf diff --git a/simple_examples/baseresults/e04uc_example.r b/simple_examples/baseresults/e04uc_example.r deleted file mode 100644 index abde1c6..0000000 --- a/simple_examples/baseresults/e04uc_example.r +++ /dev/null @@ -1,95 +0,0 @@ - E04UC_Example Example Program Results - - *** e04uc - - Parameters - ---------- - - Linear constraints..... 1 Variables.............. 4 - Nonlinear constraints.. 2 - - Infinite bound size.... 1.00E+20 COLD start............. - Infinite step size..... 1.00E+20 EPS (machine precision) 1.11E-16 - Step limit............. 2.00E+00 Hessian................ NO - - Linear feasibility..... 1.05E-08 Crash tolerance........ 1.00E-02 - Nonlinear feasibility.. 1.05E-08 Optimality tolerance... 3.26E-12 - Line search tolerance.. 9.00E-01 Function precision..... 4.37E-15 - - Derivative level....... 3 Monitoring file........ -1 - Verify level........... 0 - - Major iterations limit. 50 Major print level...... 10 - Minor iterations limit. 50 Minor print level...... 0 - - Start point - 1.000000E+00 5.000000E+00 5.000000E+00 1.000000E+00 - - Workspace provided is IWORK( 17), WORK( 185). - To solve problem we need IWORK( 17), WORK( 185). - - - Verification of the constraint gradients. - ----------------------------------------- - - The constraint Jacobian seems to be ok. - - The largest relative error was 2.29E-07 in constraint 2 - - - - Verification of the objective gradients. - ---------------------------------------- - - The objective gradients seem to be ok. - - Directional derivative of the objective 8.15250000E-01 - Difference approximation 8.15249734E-01 - - - Maj Mnr Step Merit Function Norm Gz Violtn Cond Hz - 0 4 0.0E+00 1.738281E+01 7.1E-01 1.2E+01 1.0E+00 - 1 1 1.0E+00 1.703169E+01 4.6E-02 1.9E+00 1.0E+00 - 2 1 1.0E+00 1.701442E+01 2.1E-02 8.8E-02 1.0E+00 - 3 1 1.0E+00 1.701402E+01 3.1E-04 5.4E-04 1.0E+00 - 4 1 1.0E+00 1.701402E+01 7.0E-06 9.9E-08 1.0E+00 - 5 1 1.0E+00 1.701402E+01 1.1E-08 4.6E-11 1.0E+00 - - Exit from NP problem after 5 major iterations, - 9 minor iterations. - - - Varbl State Value Lower Bound Upper Bound Lagr Mult Slack - - V 1 LL 1.00000 1.00000 5.00000 1.088 . - V 2 FR 4.74300 1.00000 5.00000 . 0.2570 - V 3 FR 3.82115 1.00000 5.00000 . 1.179 - V 4 FR 1.37941 1.00000 5.00000 . 0.3794 - - - L Con State Value Lower Bound Upper Bound Lagr Mult Slack - - L 1 FR 10.9436 None 20.0000 . 9.056 - - - N Con State Value Lower Bound Upper Bound Lagr Mult Slack - - N 1 UL 40.0000 None 40.0000 -0.1615 -3.5264E-11 - N 2 LL 25.0000 25.0000 None 0.5523 -2.8791E-11 - - Exit e04uc - Optimal solution found. - - Final objective value = 17.01402 - - Varbl Istate Value Lagr Mult - - V 0 1 1.000000 1.0879 - V 1 0 4.743000 0.0000 - V 2 0 3.821150 0.0000 - V 3 0 1.379408 0.0000 - - L Con Istate Value Lagr Mult - - L 0 0 10.943558 0.0000 - - Final objective value = 17.0140173 diff --git a/simple_examples/baseresults/e04ucje.r b/simple_examples/baseresults/e04ucje.r deleted file mode 100644 index c024cfc..0000000 --- a/simple_examples/baseresults/e04ucje.r +++ /dev/null @@ -1,22 +0,0 @@ - E04UCJ Example Program Results - - Varbl Istate Value Lagr Mult - - V 1 1 1.00000 1.088 - V 2 0 4.74300 0.000 - V 3 0 3.82115 0.000 - V 4 0 1.37941 0.000 - - - L Con Istate Value Lagr Mult - - L 1 0 10.9436 0.000 - - - N Con Istate Value Lagr Mult - - N 1 2 40.0000 -0.1615 - N 2 1 25.0000 0.5523 - - - Final objective value = 17.01402 diff --git a/simple_examples/baseresults/e04yaje.r b/simple_examples/baseresults/e04yaje.r deleted file mode 100644 index 463bd7f..0000000 --- a/simple_examples/baseresults/e04yaje.r +++ /dev/null @@ -1,25 +0,0 @@ - E04YAJ Example Program Results - -The test point is - 0.19000 -1.34000 0.88000 - -1st derivatives are consistent with residual values - -At the test point, LSQFUN gives - - Residuals 1st derivatives - -2.029E-03 1.000E+00 -4.061E-02 -2.707E-03 - -1.076E-01 1.000E+00 -9.689E-02 -1.384E-02 - -2.330E-01 1.000E+00 -1.785E-01 -4.120E-02 - -3.785E-01 1.000E+00 -3.043E-01 -1.014E-01 - -5.836E-01 1.000E+00 -5.144E-01 -2.338E-01 - -8.689E-01 1.000E+00 -9.100E-01 -5.460E-01 - -1.346E+00 1.000E+00 -1.810E+00 -1.408E+00 - -2.374E+00 1.000E+00 -4.726E+00 -4.726E+00 - -2.975E+00 1.000E+00 -6.076E+00 -6.076E+00 - -4.013E+00 1.000E+00 -7.876E+00 -7.876E+00 - -5.323E+00 1.000E+00 -1.040E+01 -1.040E+01 - -7.292E+00 1.000E+00 -1.418E+01 -1.418E+01 - -1.057E+01 1.000E+00 -2.048E+01 -2.048E+01 - -1.713E+01 1.000E+00 -3.308E+01 -3.308E+01 - -3.681E+01 1.000E+00 -7.089E+01 -7.089E+01 diff --git a/simple_examples/baseresults/f01adje.r b/simple_examples/baseresults/f01adje.r deleted file mode 100644 index c8570bc..0000000 --- a/simple_examples/baseresults/f01adje.r +++ /dev/null @@ -1,9 +0,0 @@ - F01ADJ Example Program Results - - Lower triangle of inverse - 1 2 3 4 - 1 - 2 68.0000 - 3 -41.0000 25.0000 - 4 -17.0000 10.0000 5.0000 - 5 10.0000 -6.0000 -3.0000 2.0000 diff --git a/simple_examples/baseresults/f01ckje.r b/simple_examples/baseresults/f01ckje.r deleted file mode 100644 index 3264e43..0000000 --- a/simple_examples/baseresults/f01ckje.r +++ /dev/null @@ -1,5 +0,0 @@ - F01CKJ Example Program Results - - Matrix A - 5.0 8.0 - 8.0 14.0 diff --git a/simple_examples/baseresults/f01crje.r b/simple_examples/baseresults/f01crje.r deleted file mode 100644 index 0b33f3a..0000000 --- a/simple_examples/baseresults/f01crje.r +++ /dev/null @@ -1,6 +0,0 @@ - F01CRJ Example Program Results - - 1.0 4.0 7.0 10.0 13.0 16.0 19.0 - 2.0 5.0 8.0 11.0 14.0 17.0 20.0 - 3.0 6.0 9.0 12.0 15.0 18.0 21.0 - diff --git a/simple_examples/baseresults/f01dgje.r b/simple_examples/baseresults/f01dgje.r deleted file mode 100644 index 85c8df1..0000000 --- a/simple_examples/baseresults/f01dgje.r +++ /dev/null @@ -1,8 +0,0 @@ -F01DGJ Example Program Results - - Solution matrix B - 1 2 3 4 - 1 2.1000 1.2600 2.4000 1.2600 - 2 3.2200 9.5480 6.5360 5.3320 - 3 9.3800 17.7240 20.7640 14.5920 - 4 2.6600 20.8600 11.6240 28.5400 diff --git a/simple_examples/baseresults/f01elje.r b/simple_examples/baseresults/f01elje.r deleted file mode 100644 index 06a7a20..0000000 --- a/simple_examples/baseresults/f01elje.r +++ /dev/null @@ -1,10 +0,0 @@ - F01ELJ Example Program Results - - F(A) = COS(2A) - 1 2 3 4 - 1 -0.1704 -1.1597 -0.1878 -0.7307 - 2 -0.3950 -0.4410 0.7606 0.0655 - 3 -0.0950 -0.0717 0.0619 -0.4351 - 4 -0.1034 0.6424 -1.3964 0.1042 - -Imnorm = 0.0 diff --git a/simple_examples/baseresults/f01emje.r b/simple_examples/baseresults/f01emje.r deleted file mode 100644 index d805f3c..0000000 --- a/simple_examples/baseresults/f01emje.r +++ /dev/null @@ -1,10 +0,0 @@ -F01EMJ Example Program Results - - F(A) = EXP(2A) - 1 2 3 4 - 1 -12.1880 0.0000 -3.4747 8.3697 - 2 -13.7274 54.5982 -23.9801 82.8593 - 3 -9.7900 0.0000 -25.4527 26.5294 - 4 -18.1597 0.0000 -34.8991 49.2404 - -Imnorm = 0.00 diff --git a/simple_examples/baseresults/f02ekje.r b/simple_examples/baseresults/f02ekje.r deleted file mode 100644 index 925d7cb..0000000 --- a/simple_examples/baseresults/f02ekje.r +++ /dev/null @@ -1,20 +0,0 @@ - F02EKJ Example Program Results - -Iteration Limit= 500 - Arnoldi basis vectors used: 20 - The following Ritz values (mu) are related to the - true eigenvalues (lambda) by lambda = sigma + 1/mu - - Iteration number 1 - Ritz values converged so far ( 2) and their Ritz estimates: - 1 ( 5.69917E-01, 8.80810E-01) 1.30081E-20 - 2 ( 5.69917E-01, -8.80810E-01) 1.30081E-20 - Next (unconverged) Ritz value: - 3 ( 6.07774E-01, 0.00000E+00) - - The 5 Ritz values of closest to 5.50000E+00 are: - 1 ( 6.01781E+00 , -8.00277E-01 ) - 2 ( 6.01781E+00 , 8.00277E-01 ) - 3 ( 4.34309E+00 , -1.94557E+00 ) - 4 ( 4.34309E+00 , 1.94557E+00 ) - 5 ( 7.14535E+00 , 0.00000E+00 ) diff --git a/simple_examples/baseresults/f02fkje.r b/simple_examples/baseresults/f02fkje.r deleted file mode 100644 index 8217134..0000000 --- a/simple_examples/baseresults/f02fkje.r +++ /dev/null @@ -1,14 +0,0 @@ - F02FKJ Example Program Results - - Iteration Limit= 500 - - Ritz values and residuals - 1 2 - 1 1.9702E+01 5.6583E-13 - 2 4.9036E+01 7.2456E-13 - 3 4.9036E+01 7.0022E-13 - 4 7.8370E+01 8.8089E-13 - 5 9.7197E+01 8.7693E-13 - 6 9.7197E+01 8.7672E-13 - 7 1.2653E+02 6.8423E-13 - 8 1.2653E+02 9.8310E-13 diff --git a/simple_examples/baseresults/f02wgje.r b/simple_examples/baseresults/f02wgje.r deleted file mode 100644 index b4e345c..0000000 --- a/simple_examples/baseresults/f02wgje.r +++ /dev/null @@ -1,7 +0,0 @@ - F02WGJ Example Program Results - - Singular Value Residual - 0.00830 2.7E-19 - 0.01223 5.9E-18 - 0.02381 1.2E-17 - 0.11274 7.8E-17 diff --git a/simple_examples/baseresults/f03baje.r b/simple_examples/baseresults/f03baje.r deleted file mode 100644 index c4c40d7..0000000 --- a/simple_examples/baseresults/f03baje.r +++ /dev/null @@ -1,14 +0,0 @@ -F03BAJ Example Program Results - - Array A after factorization - 1 2 3 - 1 33.0000 16.0000 72.0000 - 2 -0.7273 1.6364 -4.6364 - 3 -0.2424 -0.0741 0.1111 - -Pivots - 1 2 3 - -D = 0.37500 ID = 4 - -Value of determinant = 6.00000e+00 \ No newline at end of file diff --git a/simple_examples/baseresults/f04amje.r b/simple_examples/baseresults/f04amje.r deleted file mode 100644 index 86bd893..0000000 --- a/simple_examples/baseresults/f04amje.r +++ /dev/null @@ -1,4 +0,0 @@ -F04AMJ Example Program Results -Solution -1.3010 -0.7935 \ No newline at end of file diff --git a/simple_examples/baseresults/f04baje.r b/simple_examples/baseresults/f04baje.r deleted file mode 100644 index eb52050..0000000 --- a/simple_examples/baseresults/f04baje.r +++ /dev/null @@ -1,14 +0,0 @@ -F04BAJ Example Program Results - - Solution - 1 2 - 1 1.0000 3.0000 - 2 -1.0000 2.0000 - 3 3.0000 4.0000 - 4 -5.0000 1.0000 - -Estimate of condition number -1.5e+02 - -Esttimate of error bound for computed solutions -1.7e-14 \ No newline at end of file diff --git a/simple_examples/baseresults/f05aaje.r b/simple_examples/baseresults/f05aaje.r deleted file mode 100644 index 74b6ae6..0000000 --- a/simple_examples/baseresults/f05aaje.r +++ /dev/null @@ -1,11 +0,0 @@ -F05AAJ Example Program Results - -N1 = 2 N2 = 4 - -CC = 0.5822 ICOL = 4 - -Final Vectors --0.6325 0.3310 -0.5404 -0.3162 -0.2483 0.2119 --0.6325 -0.0000 0.7735 -0.3162 0.9104 0.2543 \ No newline at end of file diff --git a/simple_examples/baseresults/f06clje.r b/simple_examples/baseresults/f06clje.r deleted file mode 100644 index d167816..0000000 --- a/simple_examples/baseresults/f06clje.r +++ /dev/null @@ -1,3 +0,0 @@ - F06CLJ Example Program Results - - (1.0, 1.0)/(2.0, 2.0) = (0.5, 0.0) diff --git a/simple_examples/baseresults/f07aaje.r b/simple_examples/baseresults/f07aaje.r deleted file mode 100644 index 086448e..0000000 --- a/simple_examples/baseresults/f07aaje.r +++ /dev/null @@ -1,14 +0,0 @@ - F07AAJ Example Program Results - - Solution - 1.0000 -1.0000 3.0000 -5.0000 - - Details of factorization - 1 2 3 4 - 1 5.2500 -2.9500 -0.9500 -3.8000 - 2 0.3429 3.8914 2.3757 0.4129 - 3 0.3010 -0.4631 -1.5139 0.2948 - 4 -0.2114 -0.3299 0.0047 0.1314 - - Pivot indices - 2 2 3 4 diff --git a/simple_examples/baseresults/f07abje.r b/simple_examples/baseresults/f07abje.r deleted file mode 100644 index 922ca67..0000000 --- a/simple_examples/baseresults/f07abje.r +++ /dev/null @@ -1,23 +0,0 @@ -F07ABJ Example Program Results - - Solution(s) - 1 2 - 1 1.0000 3.0000 - 2 -1.0000 2.0000 - 3 3.0000 4.0000 - 4 -5.0000 1.0000 - -Backward errors (machine-dependent) - 7.7e-17 5.8e-17 - -Estimated forward error bounds (machine-dependent) - 2.5e-14 3.4e-14 - -A has been row scaled as diag(R)*A - -Reciprocal condition number estimate of scaled matrix - 1.8e-02 - -Estimate of reciprocal pivot growth factor - 7.4e-01 - diff --git a/simple_examples/baseresults/f07adje.r b/simple_examples/baseresults/f07adje.r deleted file mode 100644 index 8aa1615..0000000 --- a/simple_examples/baseresults/f07adje.r +++ /dev/null @@ -1,10 +0,0 @@ -F07ADJ Example Program Results - - Details of factorization - 1 2 3 4 - 1 5.2500 -2.9500 -0.9500 -3.8000 - 2 0.3429 3.8914 2.3757 0.4129 - 3 0.3010 -0.4631 -1.5139 0.2948 - 4 -0.2114 -0.3299 0.0047 0.1314 -IPIV - 2 2 3 4 diff --git a/simple_examples/baseresults/f07aqje.r b/simple_examples/baseresults/f07aqje.r deleted file mode 100644 index 11cdfa0..0000000 --- a/simple_examples/baseresults/f07aqje.r +++ /dev/null @@ -1,7 +0,0 @@ - F07AQJ Example Program Results - - Solution - ( 1.0000, 1.0000) ( 2.0000,-3.0000) (-4.0000,-5.0000) ( 0.0000, 6.0000) - - Pivot indices - 3 2 3 4 diff --git a/simple_examples/baseresults/f07faje.r b/simple_examples/baseresults/f07faje.r deleted file mode 100644 index 381aa43..0000000 --- a/simple_examples/baseresults/f07faje.r +++ /dev/null @@ -1,11 +0,0 @@ - F07FAJ Example Program Results - - Solution - 1.0000 -1.0000 2.0000 -3.0000 - - Cholesky factor U - 1 2 3 4 - 1 2.0396 -1.5297 0.2746 -0.0490 - 2 1.6401 -0.2500 0.6737 - 3 0.7887 0.6617 - 4 0.5347 diff --git a/simple_examples/baseresults/f07fbje.r b/simple_examples/baseresults/f07fbje.r deleted file mode 100644 index 38b2bb5..0000000 --- a/simple_examples/baseresults/f07fbje.r +++ /dev/null @@ -1,19 +0,0 @@ - F07FBJ Example Program Results - - Solution(s) - 1 2 - 1 1.0000 4.0000 - 2 -1.0000 3.0000 - 3 2.0000 2.0000 - 4 -3.0000 1.0000 - - Backward errors (machine-dependent) - 6.7e-17 8.2e-17 - - Estimated forward error bounds (machine-dependent) - 2.3e-14 2.4e-14 - - Estimate of reciprocal condition number - 1.0e-02 - - A has not been equilibrated diff --git a/simple_examples/baseresults/f08btje.r b/simple_examples/baseresults/f08btje.r deleted file mode 100644 index b663c71..0000000 --- a/simple_examples/baseresults/f08btje.r +++ /dev/null @@ -1,16 +0,0 @@ - F08BTJ Example Program Results - - Tolerance used to estimate the rank of A - 1.00E-02 - Estimated rank of A - 3 - Least squares solution(s) - - 1 2 - 1 ( 0.0000, 0.0000) ( 0.0000, 0.0000) - 2 ( 2.7020, 8.0911) (-2.2682,-2.9884) - 3 ( 2.8888, 2.5012) ( 0.9779, 1.3565) - 4 ( 2.7100, 0.4791) (-1.3734, 0.2212) - - Square root(s) of the residual sum(s) of squares - 2.51E-01 8.10E-02 diff --git a/simple_examples/baseresults/f08faje.r b/simple_examples/baseresults/f08faje.r deleted file mode 100644 index 31df0c1..0000000 --- a/simple_examples/baseresults/f08faje.r +++ /dev/null @@ -1,16 +0,0 @@ - F08FAJ Example Program Results - - Eigenvalues - -2.0531 -0.5146 -0.2943 12.8621 - Eigenvectors - 1 2 3 4 - 1 0.7003 -0.5144 -0.2767 0.4103 - 2 0.3592 0.4851 0.6634 0.4422 - 3 -0.1569 0.5420 -0.6504 0.5085 - 4 -0.5965 -0.4543 0.2457 0.6144 - - Error estimate for the eigenvalues - 1.4e-15 - - Error estimates for the eigenvectors - 9.3e-16 6.5e-15 6.5e-15 1.1e-16 diff --git a/simple_examples/baseresults/f08xpje.r b/simple_examples/baseresults/f08xpje.r deleted file mode 100644 index 96e35e9..0000000 --- a/simple_examples/baseresults/f08xpje.r +++ /dev/null @@ -1,8 +0,0 @@ -F08XPJ Example Program Results - -Number of eigenvalues for which SELCTG is true = 2 -(dimension of deflating subspaces) - -Selected generalized eigenvalues - 1 (2.00, -5.00) - 2 (3.00, -1.00) diff --git a/simple_examples/baseresults/g01alje.r b/simple_examples/baseresults/g01alje.r deleted file mode 100644 index 3473f35..0000000 --- a/simple_examples/baseresults/g01alje.r +++ /dev/null @@ -1,7 +0,0 @@ -G01ALJ Example Program Results - -Maximum 12.0000 -Upper Hinge (75% quantile) 9.5000 -Median (50% quantile) 6.5000 -Lower Hinge (25% quantile) 2.5000 -Minimum 1.0000 diff --git a/simple_examples/baseresults/g02akje.r b/simple_examples/baseresults/g02akje.r deleted file mode 100644 index a4260ce..0000000 --- a/simple_examples/baseresults/g02akje.r +++ /dev/null @@ -1,14 +0,0 @@ -G02AKJ Example Program Results - - NCM with rank constraint - 1 2 3 4 - 1 1.0000 -0.9021 0.2448 0.1975 - 2 -0.9021 1.0000 -0.6392 0.2448 - 3 0.2448 -0.6392 1.0000 -0.9021 - 4 0.1975 0.2448 -0.9021 1.0000 - -Number of subproblems solved: 4 - -Squared Frobenius norm of difference: 0.3082 - -Rank error: 0.0000 diff --git a/simple_examples/baseresults/g02bjje.r b/simple_examples/baseresults/g02bjje.r deleted file mode 100644 index 053b912..0000000 --- a/simple_examples/baseresults/g02bjje.r +++ /dev/null @@ -1,38 +0,0 @@ - G02BJJ Example Program Results - - Number of variables (columns) = 4 - Number of cases (rows) = 5 - - Data matrix is:- - 1 2 3 4 - 1 3.0000 3.0000 1.0000 2.0000 - 2 6.0000 4.0000 -1.0000 4.0000 - 3 9.0000 0.0000 5.0000 9.0000 - 4 12.0000 2.0000 0.0000 0.0000 - 5 -1.0000 5.0000 4.0000 12.0000 - - Variable Mean St.dev. - 4 6.7500 4.5735 - 1 7.5000 3.8730 - 2 3.5000 1.2910 - - Sums of squares and cross-products of deviations - 4 1 2 - 4 62.7500 21.0000 10.0000 - 1 21.0000 45.0000 -6.0000 - 2 10.0000 -6.0000 5.0000 - - Correlation coefficients - 4 1 2 - 4 1.0000 0.9707 0.9449 - 1 0.9707 1.0000 -0.6547 - 2 0.9449 -0.6547 1.0000 - - Minimum number of cases used for any pair of variables: 3 - - Numbers used for each pair are: - 4 1 2 - 4 4.0000 3.0000 3.0000 - 1 3.0000 4.0000 3.0000 - 2 3.0000 3.0000 4.0000 - diff --git a/simple_examples/baseresults/g02brje.r b/simple_examples/baseresults/g02brje.r deleted file mode 100644 index 7621bb4..0000000 --- a/simple_examples/baseresults/g02brje.r +++ /dev/null @@ -1,29 +0,0 @@ -G02BRJ Example Program Results - -Number of variables (columns) = 3 -Number of case (rows) = 9 - -Data matrix is:- - - - 1 2 3 - 1 1.7000 1.0000 0.5000 - 2 2.8000 4.0000 3.0000 - 3 0.6000 6.0000 2.5000 - 4 1.8000 9.0000 6.0000 - 5 0.9900 4.0000 2.5000 - 6 1.4000 2.0000 5.5000 - 7 1.8000 9.0000 7.5000 - 8 2.5000 7.0000 0.0000 - 9 0.9900 5.0000 3.0000 - -Matrix of rank correlation coefficients: -Upper triangle -- Spearman's -Lower triangle -- Kendall's tau - - 1 2 3 - 1 1.0000 0.2941 0.4058 - 2 0.1429 1.0000 0.7537 - 3 0.2760 0.5521 1.0000 - -Number of cases actually used: 6 diff --git a/simple_examples/baseresults/g02daje.r b/simple_examples/baseresults/g02daje.r deleted file mode 100644 index 9c6e2f0..0000000 --- a/simple_examples/baseresults/g02daje.r +++ /dev/null @@ -1,31 +0,0 @@ -G02DAJ Example Program Results - -Model not of full rank, rank = 4 -Residual sum of squares = 2.2227e+01 -Degrees of freedom = 8 -R-squared = 7.0042e-01 -Adjusted R-squared = 5.8808e-01 -AIC = 1.5397e+01 - -Variable Parameter estimate Standard error - - 1 3.0557e+01 3.8494e-01 - 2 5.4467e+00 8.3896e-01 - 3 6.7433e+00 8.3896e-01 - 4 1.1047e+01 8.3896e-01 - 5 7.3200e+00 8.3896e-01 - - Obs Residuals H - - 1 -2.3733e+00 3.3333e-01 - 2 1.7433e+00 3.3333e-01 - 3 8.8000e-01 3.3333e-01 - 4 -1.4333e-01 3.3333e-01 - 5 1.4333e-01 3.3333e-01 - 6 -1.4700e+00 3.3333e-01 - 7 -1.8867e+00 3.3333e-01 - 8 5.7667e-01 3.3333e-01 - 9 1.3167e+00 3.3333e-01 - 10 1.7967e+00 3.3333e-01 - 11 -1.1733e+00 3.3333e-01 - 12 5.9000e-01 3.3333e-01 diff --git a/simple_examples/baseresults/g02eeje.r b/simple_examples/baseresults/g02eeje.r deleted file mode 100644 index c66f9b6..0000000 --- a/simple_examples/baseresults/g02eeje.r +++ /dev/null @@ -1,20 +0,0 @@ - G02EEJ Example Program Results - - Step 1 - Added variable is TS - Change in residual sum of squares = 4.7126E-01 - F Statistic = 7.38 - - Variables in model: COD TS - - Residual sum of squares = 1.0850E+00 - Degrees of freedom = 17 - - Free variables: TKN BOD TVS - Change in residual sums of squares for free variables: - 0.1175 0.0600 0.2276 - Step 2 - No further variables added maximum F = 1.59 - Free variables: TKN BOD TVS - Change in residual sums of squares for free variables: - 0.0979 0.0207 0.0217 diff --git a/simple_examples/baseresults/g02maje.r b/simple_examples/baseresults/g02maje.r deleted file mode 100644 index dd042fa..0000000 --- a/simple_examples/baseresults/g02maje.r +++ /dev/null @@ -1,23 +0,0 @@ -G02MAJ Example Program Results - - Step Parameter Estimate ------------------------------------------------------- - 1 0.000 0.000 3.125 0.000 0.000 0.000 - 2 0.000 0.000 3.792 0.000 0.000 -0.713 - 3 -0.446 0.000 3.998 0.000 0.000 -1.151 - 4 -0.628 -0.295 4.098 0.000 0.000 -1.466 - 5 -1.060 -1.056 4.110 -0.864 0.000 -1.948 - 6 -1.073 -1.132 4.118 -0.935 -0.059 -1.981 - -alpha: -50.037 - - Step Sum RSS df Cp Ck Step Size ---------------------------------------------------------- - 1 72.446 8929.855 3 13.355 123.227 72.446 - 2 103.385 6404.701 7 7.054 50.781 24.841 - 3 126.243 5258.247 51 5.286 30.836 16.225 - 4 145.277 4657.051 25 5.309 19.319 11.587 - 5 198.223 3959.401 126 5.016 12.266 24.520 - 6 203.529 3954.571 5258 7.000 0.910 2.198 - -sigma^2: 304.198 diff --git a/simple_examples/baseresults/g03gaje.r b/simple_examples/baseresults/g03gaje.r deleted file mode 100644 index 37ab236..0000000 --- a/simple_examples/baseresults/g03gaje.r +++ /dev/null @@ -1,79 +0,0 @@ - G03GAJ Example Program Results - - - Mixing proportions - 1 2 - 1 0.4798 0.5202 - - Group means - 1 2 - 1 4.0041 3.3350 - 2 3.9949 3.4434 - 3 5.5894 4.9870 - 4 5.4432 5.3602 - - Pooled Variance-covariance matrix - 1 2 3 4 - 1 0.4539 0.2891 0.6075 0.3413 - 2 0.2891 0.2048 0.4101 0.2490 - 3 0.6075 0.4101 1.0648 0.6011 - 4 0.3413 0.2490 0.6011 0.3759 - - Densities - 1 2 - 1 2.5836E-01 1.1853E-02 - 2 3.7065E-07 1.1241E-01 - 3 5.3069E-03 1.8080E-06 - 4 4.2461E-01 2.8584E-05 - 5 5.0387E-02 1.1544E+00 - 6 1.1260E+00 7.2224E-02 - 7 2.0911E+00 2.1224E-02 - 8 5.7856E-03 1.3227E+00 - 9 1.1609E+00 2.9411E-02 - 10 8.9826E-02 2.4260E-05 - 11 3.0170E-01 1.0106E+00 - 12 1.2930E+00 3.5422E-01 - 13 2.8644E-02 6.7851E-07 - 14 2.0759E-02 3.1690E+00 - 15 7.6461E-02 1.5231E+00 - 16 3.0279E-04 8.4017E-01 - 17 5.6101E-01 4.6699E-05 - 18 2.6573E-05 6.4442E-01 - 19 2.1250E+00 5.1006E-02 - 20 8.6822E-04 2.7626E+00 - 21 1.9223E-01 2.3971E+00 - 22 1.2469E-02 2.8179E+00 - 23 1.8389E-02 5.3572E-01 - 24 1.2409E+00 9.6489E-03 - 25 2.1037E-05 4.8674E-02 - - Membership probabilities - 1 2 - 1 9.5018E-01 4.9823E-02 - 2 3.3259E-06 1.0000E+00 - 3 9.9961E-01 3.8664E-04 - 4 9.9992E-01 7.9913E-05 - 5 3.8999E-02 9.6100E-01 - 6 9.3270E-01 6.7295E-02 - 7 9.8881E-01 1.1190E-02 - 8 4.1252E-03 9.9587E-01 - 9 9.7252E-01 2.7479E-02 - 10 9.9969E-01 3.0805E-04 - 11 2.1722E-01 7.8278E-01 - 12 7.6938E-01 2.3062E-01 - 13 9.9997E-01 2.6937E-05 - 14 6.1133E-03 9.9389E-01 - 15 4.4189E-02 9.5581E-01 - 16 3.5006E-04 9.9965E-01 - 17 9.9990E-01 9.7029E-05 - 18 4.0270E-05 9.9996E-01 - 19 9.7380E-01 2.6202E-02 - 20 3.0204E-04 9.9970E-01 - 21 6.9471E-02 9.3053E-01 - 22 4.1603E-03 9.9584E-01 - 23 3.0839E-02 9.6916E-01 - 24 9.9116E-01 8.8421E-03 - 25 4.1534E-04 9.9958E-01 - -No. iterations: 14 -Log-likelihood: -29.6831 diff --git a/simple_examples/baseresults/g05kfje.r b/simple_examples/baseresults/g05kfje.r deleted file mode 100644 index 830c10a..0000000 --- a/simple_examples/baseresults/g05kfje.r +++ /dev/null @@ -1,7 +0,0 @@ -G05KFJ Example Program Results - -0.6364 -0.1065 -0.7460 -0.7983 -0.1046 \ No newline at end of file diff --git a/simple_examples/baseresults/g13awje.r b/simple_examples/baseresults/g13awje.r deleted file mode 100644 index 25be8b6..0000000 --- a/simple_examples/baseresults/g13awje.r +++ /dev/null @@ -1,4 +0,0 @@ - G13AWJ Example Program Results - -Dickey-Fuller test statistic = -2.540 -associated p-value = 0.013 diff --git a/simple_examples/baseresults/g13meje.r b/simple_examples/baseresults/g13meje.r deleted file mode 100644 index 07a391e..0000000 --- a/simple_examples/baseresults/g13meje.r +++ /dev/null @@ -1,39 +0,0 @@ -G13MEJ Example Program Results - - Iterated - Time EMA - --------------------------------- - 1 7.5 0.531 - 2 8.2 0.544 - 3 18.1 0.754 - 4 22.8 0.406 - 5 25.8 0.232 - - 6 26.8 0.217 - 7 31.1 0.357 - 8 38.4 0.630 - 9 45.9 0.263 - 10 48.2 0.241 - 11 48.9 0.279 - 12 57.9 0.713 - 13 58.5 0.717 - 14 63.9 0.385 - 15 65.2 0.346 - - 16 66.6 0.330 - 17 67.4 0.315 - 18 69.3 0.409 - 19 69.9 0.459 - 20 73.0 0.377 - 21 75.6 0.411 - 22 77.0 0.536 - 23 84.7 0.632 - 24 86.8 0.538 - 25 88.0 0.444 - 26 88.5 0.401 - 27 91.0 0.331 - 28 93.0 0.495 - 29 93.7 0.585 - 30 94.0 0.612 - diff --git a/simple_examples/baseresults/g13naje.r b/simple_examples/baseresults/g13naje.r deleted file mode 100644 index b87dda8..0000000 --- a/simple_examples/baseresults/g13naje.r +++ /dev/null @@ -1,11 +0,0 @@ -G13NAJ Example Program Results - - -- Charge Points -- --- Distribution --- - Number Position Parameters -================================================= - 1 12 0.34 1.00 - 2 32 2.57 1.00 - 3 49 1.45 1.00 - 4 52 -0.48 1.00 - 5 70 1.20 1.00 - 6 100 -0.23 1.00 diff --git a/simple_examples/baseresults/h02bbje.r b/simple_examples/baseresults/h02bbje.r deleted file mode 100644 index 64136ef..0000000 --- a/simple_examples/baseresults/h02bbje.r +++ /dev/null @@ -1,79 +0,0 @@ -H02BBJ Example Program Results - - - *** IP solver - - Parameters - ---------- - - Linear constraints...... 3 First integer solution.. OFF - Variables............... 2 Max depth of the tree... 4 - - Feasibility tolerance... 1.05E-08 Print level............. 10 - Infinite bound size..... 1.00E+20 EPS (machine precision). 1.11E-16 - - Integer feasibility tol. 1.00E-05 Iteration limit......... 50 - Max number of nodes..... NONE - - ** Workspace provided with MAXDPT = 4: LRWORK = 84 LIWORK = 137 - ** Workspace required with MAXDPT = 4: LRWORK = 84 LIWORK = 137 - - - *** Optimum LP solution *** -17.50000 - - - Varbl State Value Lower Bound Upper Bound Lagr Mult Residual - - V 1 FR 3.92857 0.00000 None 0.000 3.929 - V 2 FR 1.42857 0.00000 None 0.000 1.429 - - - L Con State Value Lower Bound Upper Bound Lagr Mult Residual - - L 1 UL 15.0000 None 15.0000 -1.000 0.000 - L 2 UL 5.00000 None 5.00000 -0.5000 -8.8818E-16 - L 3 FR 14.6429 5.00000 None 0.000 9.643 - - - *** Start of tree search *** - - - Node Parent Obj Varbl Value Lower Upper Value Depth - No Node Value Chosen Before Bound Bound After - 2 1 No Feas Soln 1 3.93 4.00 None 4.00 1 - 3 1 -16.2 1 3.93 0.00 3.00 3.00 1 - 4 3 -15.5 2 1.80 2.00 None 2.00 2 - 5 3 -13.0 2 1.80 0.00 1.00 1.00 2 - *** Integer solution *** - - - Node Parent Obj Varbl Value Lower Upper Value Depth - No Node Value Chosen Before Bound Bound After - 6 4 No Feas Soln 1 2.50 3.00 3.00 3.00 3 - 7 4 -14.8 1 2.50 0.00 2.00 2.00 3 - 8 7 -12.0 CO 2 2.20 3.00 None 3.00 4 - 9 7 -14.0 2 2.20 2.00 2.00 2.00 4 - *** Integer solution *** - - *** End of tree search *** - - - Total of 9 nodes investigated. - - Exit IP solver - Optimum IP solution found. - - Final IP objective value = -14.00000 - - - - Varbl State Value Lower Bound Upper Bound Lagr Mult Residual - - V 1 UL 2.00000 0.00000 2.00000 -3.000 0.000 - V 2 EQ 2.00000 2.00000 2.00000 -4.000 0.000 - - - L Con State Value Lower Bound Upper Bound Lagr Mult Residual - - L 1 FR 14.0000 None 15.0000 0.000 1.000 - L 2 FR 0.00000 None 5.00000 0.000 5.000 - L 3 FR 10.0000 5.00000 None 0.000 5.000 diff --git a/simple_examples/baseresults/h02daje.r b/simple_examples/baseresults/h02daje.r deleted file mode 100644 index 125c5bf..0000000 --- a/simple_examples/baseresults/h02daje.r +++ /dev/null @@ -1,14 +0,0 @@ -H02DAJ Example Program Results - - Final Esimate: - 1 - 1 0.3750 - 2 0.0000 - 3 0.5250 - 4 0.1000 - 5 1.0000 - 6 0.0000 - 7 1.0000 - 8 1.0000 -Requested accuracy of QP subproblems 1.0000e-10 -Optimised value: 2.925 diff --git a/simple_examples/baseresults/m01ccje.r b/simple_examples/baseresults/m01ccje.r deleted file mode 100644 index 33e1712..0000000 --- a/simple_examples/baseresults/m01ccje.r +++ /dev/null @@ -1,15 +0,0 @@ - M01CCJ Example Program Results - - Records sorted on columns 7 to 12 - - C05AZF 2181 - C05AUF 1351 - C02AEF 599 - A02ACF 531 - A02ABF 523 - A02AAF 289 - C05AVF 240 - C05AXF 211 - C05AYF 183 - C02ADF 169 - C05AWF 136 diff --git a/simple_examples/baseresults/nagcomplexexample.r b/simple_examples/baseresults/nagcomplexexample.r deleted file mode 100644 index 2040ba1..0000000 --- a/simple_examples/baseresults/nagcomplexexample.r +++ /dev/null @@ -1,60 +0,0 @@ -Please read the source of NAGComplexExample.java for a better understanding of how to use NAGComplex - -*****BASICS***** - -Constructing z1 and z2; -z1 = (0.0, 0.0) -z2 = (2.0, 3.0) - -Changing z1 values using NAGComplex.setRe() and NAGComplex.setIm(); -z1 = (3.0, 4.0) - -Copying z2 to z3 using NAGComplex.clone(); -z3 = (2.0, 3.0) -Copying z1 to z4 using static method NAGComplex.clone(NAGComplex z) -z4 = (3.0, 4.0) - -Array created using NAGComplex.createArray(5); -(0.0, 0.0) (0.0, 0.0) (0.0, 0.0) (0.0, 0.0) (0.0, 0.0) - -The same array updated using NAGComplex[i].setRe() and NAGComplex[i].setIm(); -(1.0, 9.0) (2.0, 8.0) (3.0, 7.0) (4.0, 6.0) (5.0, 5.0) - -*****ARITHMETIC***** - -z1 = (3.0, 4.0) -z2 = (2.0, 3.0) -z3 = (6.0, -2.0) -z4 = (4.0, -5.0) - -z1 + z2 = (5.0, 7.0) -z3 + z4 = (10.0, -7.0) - -z1 - z2 = (1.0, 1.0) -z3 - z4 = (2.0, 3.0) - -z1 * z2 = (-6.0, 17.0) -z3 * z4 = (14.0, -38.0) - -z1 / z2 = (1.3846153846153846, -0.07692307692307696) -z3 / z4 = (0.829268292682927, 0.5365853658536587) - --(z1) = (-3.0, -4.0) --(z2) = (-2.0, -3.0) - -conjugate(z1) = (3.0, -4.0) -conjugate(z2) = (2.0, -3.0) - -z3 == z4? - false -z4 = (6.0, -2.0) -z3 == z4? - true -|z1| = 5.0 -|z2| = 3.6055512754639896 - -arg(z1) = 0.9272952180016122 -arg(z2) = 0.982793723247329 - -z5 = (-5.0, 12.0) -z6 = (-9.0, 40.0) -Sqrt(z5) = (2.0, 3.0) -Sqrt(z6) = (4.0, 5.0) \ No newline at end of file diff --git a/simple_examples/baseresults/outputexample.r b/simple_examples/baseresults/outputexample.r deleted file mode 100644 index 76fc07e..0000000 --- a/simple_examples/baseresults/outputexample.r +++ /dev/null @@ -1,10 +0,0 @@ - *** Start of NAG Library implementation details *** - - Implementation title: Linux, 64-bit, Intel C/C++ or Intel Fortran - Precision: double precision - Product Code: NLL6I27DBL - Mark: 27.2.0 (self-contained) - - This is a 64-bit library using 32-bit integers. - - *** End of NAG Library implementation details *** diff --git a/simple_examples/baseresults/s01baje.r b/simple_examples/baseresults/s01baje.r deleted file mode 100644 index b3b20dd..0000000 --- a/simple_examples/baseresults/s01baje.r +++ /dev/null @@ -1,9 +0,0 @@ -S01BAJ Example Program Results - - X Y - 2.5000e+00 1.2528e+00 - 1.2500e-01 1.1778e-01 - -9.0600e-01 -2.3645e+00 - 1.2900e-03 1.2892e-03 - -7.8300e-06 -7.8300e-06 - 1.0000e-09 1.0000e-09 diff --git a/simple_examples/baseresults/s10aaje.r b/simple_examples/baseresults/s10aaje.r deleted file mode 100644 index eac481e..0000000 --- a/simple_examples/baseresults/s10aaje.r +++ /dev/null @@ -1,7 +0,0 @@ -S10AAJ Example Program Results - - X Y - -2.000e+01 -1.000e+00 - -5.000e+00 -9.999e-01 - 5.000e-01 4.621e-01 - 5.000e+00 9.999e-01 diff --git a/simple_examples/baseresults/s10abje.r b/simple_examples/baseresults/s10abje.r deleted file mode 100644 index 54e3b1c..0000000 --- a/simple_examples/baseresults/s10abje.r +++ /dev/null @@ -1,8 +0,0 @@ -S10ABJ Example Program Results - - X Y - -1.000e+01 -1.101e+04 - -5.000e-01 -5.211e-01 - 0.000e+00 0.000e+00 - 5.000e-01 5.211e-01 - 2.500e+01 3.600e+10 diff --git a/simple_examples/baseresults/s10acje.r b/simple_examples/baseresults/s10acje.r deleted file mode 100644 index e71c76b..0000000 --- a/simple_examples/baseresults/s10acje.r +++ /dev/null @@ -1,8 +0,0 @@ -S10ACJ Example Program Results - - X Y - -1.000e+01 1.101e+04 - -5.000e-01 1.128e+00 - 0.000e+00 1.000e+00 - 5.000e-01 1.128e+00 - 2.500e+01 3.600e+10 diff --git a/simple_examples/baseresults/s14abje.r b/simple_examples/baseresults/s14abje.r deleted file mode 100644 index 86c60ea..0000000 --- a/simple_examples/baseresults/s14abje.r +++ /dev/null @@ -1,12 +0,0 @@ -S14ABJ Example Program Results - - X Y - 1.000e+00 0.000e+00 - 1.250e+00 -9.827e-02 - 1.500e+00 -1.208e-01 - 1.750e+00 -8.440e-02 - 2.000e+00 0.000e+00 - 5.000e+00 3.178e+00 - 1.000e+01 1.280e+01 - 2.000e+01 3.934e+01 - 1.000e+03 5.905e+03 diff --git a/simple_examples/baseresults/s14acje.r b/simple_examples/baseresults/s14acje.r deleted file mode 100644 index cda0185..0000000 --- a/simple_examples/baseresults/s14acje.r +++ /dev/null @@ -1,8 +0,0 @@ -S14ACJ Example Program Results - - X psi(X)-log(X) - - 0.1000 -8.1212 - 0.5000 -1.2704 - 3.6000 -0.1453 - 8.0000 -0.0638 diff --git a/simple_examples/baseresults/s14afje.r b/simple_examples/baseresults/s14afje.r deleted file mode 100644 index 68a5fd5..0000000 --- a/simple_examples/baseresults/s14afje.r +++ /dev/null @@ -1,5 +0,0 @@ -S14AFJ Example Program Results - - Z K (d^K/dz^K)psi(Z) - - (-1.5, 2.5) 1 (-1.9737e-01, -2.4271e-01) diff --git a/simple_examples/baseresults/s17dcje.r b/simple_examples/baseresults/s17dcje.r deleted file mode 100644 index 845aae3..0000000 --- a/simple_examples/baseresults/s17dcje.r +++ /dev/null @@ -1,10 +0,0 @@ -S17DCF Example Program Results - -Calling with N = 2 - -FNU Z SCAL CY[0] CY[1] NZ -0.0000 (0.3000, 0.4000) U (-0.4983, 0.6700) (-1.0149, 0.9485) 0 -2.3000 (2.0000, 0.0000) U (-0.7398, 0.0000) (-1.4120, 0.0000) 0 -2.1200 (-1.0000, 0.0000) U (-1.7279, 0.8602) (6.5331, -2.6154) 0 -1.5800 (-2.3000, 5.6000) U (36.4755, -1.5521) (-2.6788, 25.9112) 0 -1.5800 (-2.3000, 5.6000) S (0.1349, -0.0057) (-0.0099, 0.0958) 0 diff --git a/simple_examples/baseresults/s17dgje.r b/simple_examples/baseresults/s17dgje.r deleted file mode 100644 index c26ff48..0000000 --- a/simple_examples/baseresults/s17dgje.r +++ /dev/null @@ -1,9 +0,0 @@ - S17DGJ Example Program Results - - DERIV Z SCAL AI NZ - - F ( 0.3000, 0.4000) U ( 0.2716, -0.1002) 0 - F ( 0.2000, 0.0000) U ( 0.3037, 0.0000) 0 - F ( 1.1000, -6.6000) U (-43.6632,-47.9030) 0 - F ( 1.1000, -6.6000) S ( 0.1655, 0.0597) 0 - D ( -1.0000, 0.0000) U ( -0.0102, 0.0000) 0 diff --git a/simple_examples/baseresults/s30aaje.r b/simple_examples/baseresults/s30aaje.r deleted file mode 100644 index 32fc477..0000000 --- a/simple_examples/baseresults/s30aaje.r +++ /dev/null @@ -1,16 +0,0 @@ -S30AAJ Example Program Results - -Black-Scholes-Merton formula -European Call : - Spot = 55.0000 - Volatility = 0.3000 - Rate = 0.1000 - Dividend = 0.0000 - - Strike Expiry Option Price - 58.0000 0.7000 5.9198 - 58.0000 0.8000 6.5506 - 60.0000 0.7000 5.0809 - 60.0000 0.8000 5.6992 - 62.0000 0.7000 4.3389 - 62.0000 0.8000 4.9379 diff --git a/simple_examples/baseresults/s30acje.r b/simple_examples/baseresults/s30acje.r deleted file mode 100644 index 134730e..0000000 --- a/simple_examples/baseresults/s30acje.r +++ /dev/null @@ -1,9 +0,0 @@ - S30ACJ Example Program Results - - SIGMA IVALID - - 7.834E-01 0 - 7.386E-01 0 - 4.096E-01 0 - 4.085E-01 0 - 4.179E-01 0 diff --git a/simple_examples/baseresults/simpleroutineexample.r b/simple_examples/baseresults/simpleroutineexample.r deleted file mode 100644 index e1f6a4e..0000000 --- a/simple_examples/baseresults/simpleroutineexample.r +++ /dev/null @@ -1,15 +0,0 @@ - C05AZ Example Program results: - - Iterations - - X = 0.00000 FX= 1.0000e+00 IND = 2 - X = 1.00000 FX= -6.3212e-01 IND = 3 - X = 0.61270 FX= -7.0814e-02 IND = 4 - X = 0.56707 FX= 1.1542e-04 IND = 4 - X = 0.56714 FX= -9.4481e-07 IND = 4 - X = 0.56713 FX= 1.4727e-05 IND = 4 - X = 0.56714 FX= -9.4481e-07 IND = 4 - - Solution - - X = 0.56714 Y = 0.56713 diff --git a/simple_examples/baseresults/userdefinedfunctionexample1.r b/simple_examples/baseresults/userdefinedfunctionexample1.r deleted file mode 100644 index c2fd510..0000000 --- a/simple_examples/baseresults/userdefinedfunctionexample1.r +++ /dev/null @@ -1 +0,0 @@ -The result is -0.03183098861837909 diff --git a/simple_examples/baseresults/userdefinedfunctionexample2.r b/simple_examples/baseresults/userdefinedfunctionexample2.r deleted file mode 100644 index c2fd510..0000000 --- a/simple_examples/baseresults/userdefinedfunctionexample2.r +++ /dev/null @@ -1 +0,0 @@ -The result is -0.03183098861837909 diff --git a/simple_examples/baseresults/x03aaje.r b/simple_examples/baseresults/x03aaje.r deleted file mode 100644 index d2b7138..0000000 --- a/simple_examples/baseresults/x03aaje.r +++ /dev/null @@ -1,3 +0,0 @@ -X03AAF Example Program Results - -D1 = -5.0 D2 = 0.0 \ No newline at end of file diff --git a/simple_examples/baseresults/x04cbje.r b/simple_examples/baseresults/x04cbje.r deleted file mode 100644 index 6b842ef..0000000 --- a/simple_examples/baseresults/x04cbje.r +++ /dev/null @@ -1,21 +0,0 @@ -X04CBJ Example Program Results - - Example 1 - 1 2 3 4 5 - 1 11.0000 12.0000 13.0000 14.0000 15.0000 - 2 21.0000 22.0000 23.0000 24.0000 25.0000 - 3 31.0000 32.0000 33.0000 34.0000 35.0000 - - Example 2: - Un Deux Trois Quatre Cinq - Uno 11.00 12.00 13.00 14.00 15.00 - Due 22.00 23.00 24.00 25.00 - Tre 33.00 34.00 35.00 - Quattro 44.00 45.00 - Cinque 55.00 - - A = [ - 11.00 0.00 0.00 0.00 0.00; - 21.00 22.00 0.00 0.00 0.00; - 31.00 32.00 33.00 0.00 0.00; - ]; diff --git a/simple_examples/baseresults/x05abje.r b/simple_examples/baseresults/x05abje.r deleted file mode 100644 index f94235c..0000000 --- a/simple_examples/baseresults/x05abje.r +++ /dev/null @@ -1,2 +0,0 @@ - X05ABJ Example Program Results -Tue 14th Jul 1789 13:11:48.320 diff --git a/simple_examples/data/c02abje.d b/simple_examples/data/c02abje.d deleted file mode 100644 index 3f2dfd1..0000000 --- a/simple_examples/data/c02abje.d +++ /dev/null @@ -1,14 +0,0 @@ -C02ABJ Example Program Data - -Example 1: Basic Problem - 6 : Degree, n - 3.5 : Coefficients, a - 1.0 - -7.0 - 12.5 - 2.5 - -17.0 - 32.5 - -Example 2: Polishing Processes - 10 : Degree, n diff --git a/simple_examples/data/c02afje.d b/simple_examples/data/c02afje.d deleted file mode 100644 index 0e31bab..0000000 --- a/simple_examples/data/c02afje.d +++ /dev/null @@ -1,19 +0,0 @@ -C02AFJ Example Program Data - -Example 1 - 5 - 5.0 6.0 - 30.0 20.0 - -0.2 -6.0 - 50.0 100000.0 - -2.0 40.0 - 10.0 1.0 - -Example 2 - 5 - 5.0 6.0 - 30.0 20.0 - -0.2 -6.0 - 50.0 100000.0 - -2.0 40.0 - 10.0 1.0 diff --git a/simple_examples/data/c02agje.d b/simple_examples/data/c02agje.d deleted file mode 100644 index ada6a96..0000000 --- a/simple_examples/data/c02agje.d +++ /dev/null @@ -1,9 +0,0 @@ -C02AGJ Example Program Data - -Example 1 - 5 - 1.0 2.0 3.0 4.0 5.0 6.0 - -Example 2 - 5 - 1.0 2.0 3.0 4.0 5.0 6.0 diff --git a/simple_examples/data/c02ahje.d b/simple_examples/data/c02ahje.d deleted file mode 100644 index 0e1a9ea..0000000 --- a/simple_examples/data/c02ahje.d +++ /dev/null @@ -1,2 +0,0 @@ -C02AHJ Example Program Data - 1.0 0.0 -3.0 1.0 8.0 1.0 :AR AI BR BI CR CI diff --git a/simple_examples/data/c02ajje.d b/simple_examples/data/c02ajje.d deleted file mode 100644 index c24b295..0000000 --- a/simple_examples/data/c02ajje.d +++ /dev/null @@ -1,2 +0,0 @@ -C02AJJ Example Program Data - 1.0 3.0 -10.0 :A B C diff --git a/simple_examples/data/c02akje.d b/simple_examples/data/c02akje.d deleted file mode 100644 index 0b71c64..0000000 --- a/simple_examples/data/c02akje.d +++ /dev/null @@ -1,2 +0,0 @@ -C02AKJ Example Program Data - 1.0 3.0 9.0 -13.0 : Values of U, R, S and T diff --git a/simple_examples/data/c02alje.d b/simple_examples/data/c02alje.d deleted file mode 100644 index a519a24..0000000 --- a/simple_examples/data/c02alje.d +++ /dev/null @@ -1,2 +0,0 @@ -C02ALJ Example Program Data - 1.0 2.0 6.0 -8.0 -40.0 : Values of E, A, B, C and D diff --git a/simple_examples/data/c02amje.d b/simple_examples/data/c02amje.d deleted file mode 100644 index 9bff4dc..0000000 --- a/simple_examples/data/c02amje.d +++ /dev/null @@ -1,5 +0,0 @@ -C02AMJ Example Program Data - ( 1.0, 0.0) - ( -2.0, 3.0) - ( 5.0, 14.0) - (-40.0, -5.0) : Values of U, R, S and T diff --git a/simple_examples/data/c02anje.d b/simple_examples/data/c02anje.d deleted file mode 100644 index c331b10..0000000 --- a/simple_examples/data/c02anje.d +++ /dev/null @@ -1,6 +0,0 @@ -C02ANJ Example Program Data - ( 1.0, 0.0) - ( 0.0, 0.0) - ( 0.0, 16.0) - ( -8.0, 8.0) - (-65.0, 0.0) : Values of E, A, B, C and D diff --git a/simple_examples/data/c05bbje.d b/simple_examples/data/c05bbje.d deleted file mode 100644 index 6c78ea9..0000000 --- a/simple_examples/data/c05bbje.d +++ /dev/null @@ -1,7 +0,0 @@ -C05BBJ Example Program Data -0 : BRANCH -false : OFFSET -0.5 -1.0 -1.0 2.3 -4.5 -0.1 -6.0 6.0 : Z diff --git a/simple_examples/data/c06fkje.d b/simple_examples/data/c06fkje.d deleted file mode 100644 index e042218..0000000 --- a/simple_examples/data/c06fkje.d +++ /dev/null @@ -1,11 +0,0 @@ -C06FKJ Example Program Data -9 : n -1.00 0.50 -1.00 0.50 -1.00 0.50 -1.00 0.50 -1.00 0.00 -0.00 0.00 -0.00 0.00 -0.00 0.00 -0.00 0.00 : xa, ya diff --git a/simple_examples/data/c09aaje.d b/simple_examples/data/c09aaje.d deleted file mode 100644 index 8313509..0000000 --- a/simple_examples/data/c09aaje.d +++ /dev/null @@ -1,11 +0,0 @@ -C09AAF Example Program Data - 8 : n - Haar Zero : wavnam, mode - 2.0 - 5.0 - 8.0 - 9.0 - 7.0 - 4.0 --1.0 - 1.0 : x(1:n) diff --git a/simple_examples/data/d03pcje.d b/simple_examples/data/d03pcje.d deleted file mode 100644 index 9e78e1f..0000000 --- a/simple_examples/data/d03pcje.d +++ /dev/null @@ -1,6 +0,0 @@ -D03PCJ Example Program Data -6 20 1 : intpts, npts, itype -0.0 0.4 0.6 0.8 0.9 1.0 : xout(1:intpts) -1.0E-3 1.0 : acc, alpha -1 0 : m, itrace -0.0 0.1E-4 : ts, tout diff --git a/simple_examples/data/e02alje.d b/simple_examples/data/e02alje.d deleted file mode 100644 index b1c9d44..0000000 --- a/simple_examples/data/e02alje.d +++ /dev/null @@ -1,23 +0,0 @@ -E02ALJ Example Program Data - 21 5 11 : N, M, NEVAL - 0.00 1.0000000000 - 0.05 1.0512710964 - 0.10 1.1051709181 - 0.15 1.1618342427 - 0.20 1.2214027582 - 0.25 1.2840254167 - 0.30 1.3498588076 - 0.35 1.4190675486 - 0.40 1.4918246976 - 0.45 1.5683121855 - 0.50 1.6487212707 - 0.55 1.7332530179 - 0.60 1.8221188004 - 0.65 1.9155408290 - 0.70 2.0137527075 - 0.75 2.1170000166 - 0.80 2.2255409285 - 0.85 2.3396468519 - 0.90 2.4596031112 - 0.95 2.5857096593 - 1.00 2.7182818285 : X, Y diff --git a/simple_examples/data/e04fcje.d b/simple_examples/data/e04fcje.d deleted file mode 100644 index 963a616..0000000 --- a/simple_examples/data/e04fcje.d +++ /dev/null @@ -1,16 +0,0 @@ -E04FCF Example Program Data - 0.14 1.0 15.0 1.0 - 0.18 2.0 14.0 2.0 - 0.22 3.0 13.0 3.0 - 0.25 4.0 12.0 4.0 - 0.29 5.0 11.0 5.0 - 0.32 6.0 10.0 6.0 - 0.35 7.0 9.0 7.0 - 0.39 8.0 8.0 8.0 - 0.37 9.0 7.0 7.0 - 0.58 10.0 6.0 6.0 - 0.73 11.0 5.0 5.0 - 0.96 12.0 4.0 4.0 - 1.34 13.0 3.0 3.0 - 2.10 14.0 2.0 2.0 - 4.39 15.0 1.0 1.0 diff --git a/simple_examples/data/e04mxje.d b/simple_examples/data/e04mxje.d deleted file mode 100644 index 7d45bf8..0000000 --- a/simple_examples/data/e04mxje.d +++ /dev/null @@ -1,64 +0,0 @@ -NAME E04MX.EX -ROWS - L ..ROW1.. - L ..ROW2.. - L ..ROW3.. - N ..COST.. -COLUMNS - ...X1... ..ROW1.. 1.0 ..ROW2.. 1.0 - ...X1... ..ROW3.. 1.0 ..COST.. -4.0 - ...X2... ..ROW1.. 1.0 ..ROW2.. 2.0 - ...X2... ..ROW3.. -1.0 ..COST.. -1.0 - ...X3... ..ROW1.. 1.0 ..ROW2.. 3.0 - ...X3... ..ROW3.. 1.0 ..COST.. -1.0 - ...X4... ..ROW1.. 1.0 ..ROW2.. 4.0 - ...X4... ..ROW3.. -1.0 ..COST.. -1.0 - ...X5... ..ROW1.. 1.0 ..ROW2.. -2.0 - ...X5... ..ROW3.. 1.0 ..COST.. -1.0 - ...X6... ..ROW1.. 1.0 ..ROW2.. 1.0 - ...X6... ..ROW3.. 1.0 ..COST.. -1.0 - ...X7... ..ROW1.. 1.0 ..ROW2.. 1.0 - ...X7... ..ROW3.. 1.0 ..COST.. -1.0 - ...X8... ..ROW1.. 1.0 ..ROW2.. 1.0 - ...X8... ..ROW3.. 1.0 ..COST.. -0.1 - ...X9... ..ROW1.. 4.0 ..ROW2.. 1.0 - ...X9... ..ROW3.. 1.0 ..COST.. -0.3 -RHS - RHS1 ..ROW1.. 1.5 - RHS1 ..ROW2.. 1.5 - RHS1 ..ROW3.. 4.0 - RHS1 ..COST.. 1000.0 -RANGES - RANGE1 ..ROW1.. 3.5 - RANGE1 ..ROW2.. 3.5 - RANGE1 ..ROW3.. 6.0 -BOUNDS - LO BOUND ...X1... -2.0 - LO BOUND ...X2... -2.0 - LO BOUND ...X3... -2.0 - LO BOUND ...X4... -2.0 - LO BOUND ...X5... -2.0 - LO BOUND ...X6... -2.0 - LO BOUND ...X7... -2.0 - LO BOUND ...X8... -2.0 - LO BOUND ...X9... -2.0 - UP BOUND ...X1... 2.0 - UP BOUND ...X2... 2.0 - UP BOUND ...X3... 2.0 - UP BOUND ...X4... 2.0 - UP BOUND ...X5... 2.0 - UP BOUND ...X6... 2.0 - UP BOUND ...X7... 2.0 - UP BOUND ...X8... 2.0 - UP BOUND ...X9... 2.0 -QUADOBJ - ...X1... ...X1... 2.00000000E0 ...X2... 1.00000000E0 - ...X1... ...X3... 1.00000000E0 ...X4... 1.00000000E0 - ...X1... ...X5... 1.00000000E0 - ...X2... ...X2... 2.00000000E0 ...X3... 1.00000000E0 - ...X2... ...X4... 1.00000000E0 ...X5... 1.00000000E0 - ...X3... ...X3... 2.00000000E0 ...X4... 1.00000000E0 - ...X3... ...X5... 1.00000000E0 - ...X4... ...X4... 2.00000000E0 ...X5... 1.00000000E0 - ...X5... ...X5... 2.00000000E0 -ENDATA diff --git a/simple_examples/data/e04ncje.d b/simple_examples/data/e04ncje.d deleted file mode 100644 index bdf378b..0000000 --- a/simple_examples/data/e04ncje.d +++ /dev/null @@ -1,21 +0,0 @@ -E04NCA Example Program Data - 10 9 3 :Values of M, N and NCLIN - 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 - 1.0 2.0 1.0 1.0 1.0 1.0 2.0 0.0 0.0 - 1.0 1.0 3.0 1.0 1.0 1.0 -1.0 -1.0 -3.0 - 1.0 1.0 1.0 4.0 1.0 1.0 1.0 1.0 1.0 - 1.0 1.0 1.0 3.0 1.0 1.0 1.0 1.0 1.0 - 1.0 1.0 2.0 1.0 1.0 0.0 0.0 0.0 -1.0 - 1.0 1.0 1.0 1.0 0.0 1.0 1.0 1.0 1.0 - 1.0 1.0 1.0 0.0 1.0 1.0 1.0 1.0 1.0 - 1.0 1.0 0.0 1.0 1.0 1.0 2.0 2.0 3.0 - 1.0 0.0 1.0 1.0 1.0 1.0 0.0 2.0 2.0 :End of matrix A - 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 :End of B - 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 4.0 - 1.0 2.0 3.0 4.0 -2.0 1.0 1.0 1.0 1.0 - 1.0 -1.0 1.0 -1.0 1.0 1.0 1.0 1.0 1.0 :End of matrix C - 0.0 0.0 -1.0E+25 0.0 0.0 0.0 0.0 0.0 0.0 - 2.0 -1.0E+25 1.0 :End of BL - 2.0 2.0 2.0 2.0 2.0 2.0 2.0 2.0 2.0 - 1.0E+25 2.0 4.0 :End of BU - 1.0 0.5 0.3333 0.25 0.2 0.1667 0.1428 0.125 0.1111 :End of X diff --git a/simple_examples/data/e04nfje.d b/simple_examples/data/e04nfje.d deleted file mode 100644 index f2c6165..0000000 --- a/simple_examples/data/e04nfje.d +++ /dev/null @@ -1,22 +0,0 @@ -E04NFA Example Program Data - 7 7 :Values of N and NCLIN - -0.02 -0.20 -0.20 -0.20 -0.20 0.04 0.04 :End of CVEC - 1.00 1.00 1.00 1.00 1.00 1.00 1.00 - 0.15 0.04 0.02 0.04 0.02 0.01 0.03 - 0.03 0.05 0.08 0.02 0.06 0.01 0.00 - 0.02 0.04 0.01 0.02 0.02 0.00 0.00 - 0.02 0.03 0.00 0.00 0.01 0.00 0.00 - 0.70 0.75 0.80 0.75 0.80 0.97 0.00 - 0.02 0.06 0.08 0.12 0.02 0.01 0.97 :End of matrix A - -0.01 -0.10 -0.01 -0.04 -0.10 -0.01 -0.01 - -0.13 -1.0E+25 -1.0E+25 -1.0E+25 -1.0E+25 -9.92E-02 -3.0E-03 :End of BL - 0.01 0.15 0.03 0.02 0.05 1.0E+25 1.0E+25 - -0.13 -4.9E-03 -6.4E-03 -3.7E-03 -1.2E-03 1.0E+25 2.0E-03 :End of BU - -0.01 -0.03 0.00 -0.01 -0.10 0.02 0.01 :End of X - 2.00 0.00 0.00 0.00 0.00 0.00 0.00 - 0.00 2.00 0.00 0.00 0.00 0.00 0.00 - 0.00 0.00 2.00 2.00 0.00 0.00 0.00 - 0.00 0.00 2.00 2.00 0.00 0.00 0.00 - 0.00 0.00 0.00 0.00 2.00 0.00 0.00 - 0.00 0.00 0.00 0.00 0.00 -2.00 -2.00 - 0.00 0.00 0.00 0.00 0.00 -2.00 -2.00 :End of matrix H diff --git a/simple_examples/data/e04nqje.d b/simple_examples/data/e04nqje.d deleted file mode 100644 index a1c9039..0000000 --- a/simple_examples/data/e04nqje.d +++ /dev/null @@ -1,67 +0,0 @@ -E04NQF Example Program Data - 7 8 : Values of N and M -48 8 7 'C' 15 : Values of NNZ, IOBJ, NCOLH, START and NNAME - -'...X1...' '...X2...' '...X3...' '...X4...' '...X5...' -'...X6...' '...X7...' '..ROW1..' '..ROW2..' '..ROW3..' -'..ROW4..' '..ROW5..' '..ROW6..' '..ROW7..' '..COST..' : End of array NAMES - - 0.02 7 1 : Sparse matrix A, ordered by increasing column index; - 0.02 5 1 : each row contains ACOL(i), INDA(i), ICOL (= column index) - 0.03 3 1 : The row indices may be in any order. In this example - 1.00 1 1 : row 8 defines the linear objective term transpose(C)*X. - 0.70 6 1 - 0.02 4 1 - 0.15 2 1 - -200.00 8 1 - 0.06 7 2 - 0.75 6 2 - 0.03 5 2 - 0.04 4 2 - 0.05 3 2 - 0.04 2 2 - 1.00 1 2 --2000.00 8 2 - 0.02 2 3 - 1.00 1 3 - 0.01 4 3 - 0.08 3 3 - 0.08 7 3 - 0.80 6 3 --2000.00 8 3 - 1.00 1 4 - 0.12 7 4 - 0.02 3 4 - 0.02 4 4 - 0.75 6 4 - 0.04 2 4 --2000.00 8 4 - 0.01 5 5 - 0.80 6 5 - 0.02 7 5 - 1.00 1 5 - 0.02 2 5 - 0.06 3 5 - 0.02 4 5 --2000.00 8 5 - 1.00 1 6 - 0.01 2 6 - 0.01 3 6 - 0.97 6 6 - 0.01 7 6 - 400.00 8 6 - 0.97 7 7 - 0.03 2 7 - 1.00 1 7 - 400.00 8 7 : End of matrix A - - 0.0 0.0 4.0E+02 1.0E+02 0.0 0.0 - 0.0 2.0E+03 -1.0E+25 -1.0E+25 -1.0E+25 -1.0E+25 - 1.5E+03 2.5E+02 -1.0E+25 : End of lower bounds array BL - - 2.0E+02 2.5E+03 8.0E+02 7.0E+02 1.5E+03 1.0E+25 - 1.0E+25 2.0E+03 6.0E+01 1.0E+02 4.0E+01 3.0E+01 - 1.0E+25 3.0E+02 1.0E+25 : End of upper bounds array BU - - 0 0 0 0 0 0 0 : Initial array HS - 0.0 0.0 0.0 0.0 0.0 0.0 0.0 : Initial vector X diff --git a/simple_examples/data/e04rsje.d b/simple_examples/data/e04rsje.d deleted file mode 100644 index 9540ce2..0000000 --- a/simple_examples/data/e04rsje.d +++ /dev/null @@ -1,13 +0,0 @@ -E04RSJ Example Program Data - 3 6 6 : n, nnzq1, nnzq2 - 1 1 1 2 2 3 : irowq0 - 1 2 3 2 3 3 : icolq0 - 0.493 0.382 0.270 0.475 0.448 0.515 : q0 - 1 1 1 2 2 3 : irowq1 - 1 2 3 2 3 3 : icolq1 - 0.737 0.453 1.002 0.316 0.635 1.590 : q1 - 1 2 3 : idxr0 - 0.847 0.08 0.505 : r0 - 1 2 3 : idxr1 - 0.065 0.428 0.097 : r1 - 1.276 : s diff --git a/simple_examples/data/e04rtje.d b/simple_examples/data/e04rtje.d deleted file mode 100644 index f6f5896..0000000 --- a/simple_examples/data/e04rtje.d +++ /dev/null @@ -1,8 +0,0 @@ -E04RTJ Example Program Data - 3 2 4 : n, m, nnza - 1 1 2 2 : irowa - 1 2 2 3 : icola - 0.493 0.382 0.270 0.475 : a - 0.2 0.4 : b - -1.0 -1.0 -1.0 : xl - 1.0 1.0 1.0 : xu diff --git a/simple_examples/data/e04saje.opt b/simple_examples/data/e04saje.opt deleted file mode 100644 index 098dd78..0000000 --- a/simple_examples/data/e04saje.opt +++ /dev/null @@ -1,30 +0,0 @@ -NAME E04SAJE -OBJSENSE - MIN -ROWS - N obj - L g1 - G g2 -COLUMNS - x1 obj 10.0 - x1 g1 -0.1 - x1 g2 -0.06 - x2 obj 20.0 - x2 g1 -0.1 - x2 g2 1.0 - x3 obj 1.0 - x3 g1 1.0 - x3 g2 1.0 -RHS - UVEC g1 1.5 - UVEC g2 1.0 -BOUNDS - LO bound x1 -2.0 - UP bound x1 2.0 - LO bound x2 -2.0 - UP bound x2 2.0 -CSECTION k1 0 QUAD - x3 - x1 - x2 -ENDATA diff --git a/simple_examples/data/e04tcje.d b/simple_examples/data/e04tcje.d deleted file mode 100644 index 0d7c25f..0000000 --- a/simple_examples/data/e04tcje.d +++ /dev/null @@ -1,22 +0,0 @@ -E04TCJ Example Program Data -30 : nres --1.0000000000000000E+00 -9.3103448275862066E-01 -8.6206896551724133E-01 --7.9310344827586210E-01 -7.2413793103448276E-01 -6.5517241379310343E-01 --5.8620689655172420E-01 -5.1724137931034486E-01 -4.4827586206896552E-01 --3.7931034482758619E-01 -3.1034482758620685E-01 -2.4137931034482762E-01 --1.7241379310344829E-01 -1.0344827586206895E-01 -3.4482758620689724E-02 - 3.4482758620689724E-02 1.0344827586206895E-01 1.7241379310344818E-01 - 2.4137931034482762E-01 3.1034482758620685E-01 3.7931034482758630E-01 - 4.4827586206896552E-01 5.1724137931034475E-01 5.8620689655172420E-01 - 6.5517241379310343E-01 7.2413793103448265E-01 7.9310344827586210E-01 - 8.6206896551724133E-01 9.3103448275862055E-01 1.0000000000000000E+00 : x --4.7355262950125371E-01 -5.4938194860076961E-01 -3.9825239170869919E-01 --3.8856020837234490E-01 -5.5342876546898057E-01 -4.9096203345353551E-01 --5.3572741683518588E-01 -4.7612745760879621E-01 -5.3500371923553647E-01 - 6.0158102095753345E-01 -5.8735647599146978E-01 -4.4672492128166008E-01 --2.8302528479868733E-01 -3.0311152621895832E-01 -4.1648482978955480E-02 - 3.7631282343379285E-02 1.6504195889737350E-01 5.1964885199180544E-01 - 5.4702301251386876E-01 -4.4537928919142311E-01 5.9042453784268267E-01 - 6.9016702395652996E-01 6.9143394337665087E-01 7.8263998594593021E-01 - 8.1261679746103432E-01 7.5887968830904762E-01 9.5316846217349571E-01 - 1.1014159319048389E+00 1.0675894279571976E+00 1.1538027971634699E+00 : obs diff --git a/simple_examples/data/f03baje.d b/simple_examples/data/f03baje.d deleted file mode 100644 index 8c792dc..0000000 --- a/simple_examples/data/f03baje.d +++ /dev/null @@ -1,5 +0,0 @@ -F03BAF Example Program Data - 3 : N - 33 16 72 - -24 -10 -57 - -8 -4 -17 : A diff --git a/simple_examples/data/f04amje.d b/simple_examples/data/f04amje.d deleted file mode 100644 index dc69386..0000000 --- a/simple_examples/data/f04amje.d +++ /dev/null @@ -1,5 +0,0 @@ -F04AMF Example Program Data - 3 2 : m, n - 1.1 0.9 2.2 - 1.2 1.0 2.3 - 1.0 1.0 2.1 : matrices A and B diff --git a/simple_examples/data/f04baje.d b/simple_examples/data/f04baje.d deleted file mode 100644 index b1df19b..0000000 --- a/simple_examples/data/f04baje.d +++ /dev/null @@ -1,13 +0,0 @@ -F04BAF Example Program Data - - 4 2 : n, nrhs - - 1.80 2.88 2.05 -0.89 - 5.25 -2.95 -0.95 -3.80 - 1.58 -2.69 -2.90 -1.04 - -1.11 -0.66 -0.59 0.80 : matrix A - - 9.52 18.47 - 24.35 2.25 - 0.77 -13.28 - -6.22 -6.21 : matrix B diff --git a/simple_examples/data/f05aaje.d b/simple_examples/data/f05aaje.d deleted file mode 100644 index cafb7ea..0000000 --- a/simple_examples/data/f05aaje.d +++ /dev/null @@ -1,6 +0,0 @@ -F05AAF Example Program Data - 4 2 4 - 1 -2 3 1 --2 1 -2 -1 - 3 -2 1 5 - 4 1 5 3 \ No newline at end of file diff --git a/simple_examples/data/f08btje.d b/simple_examples/data/f08btje.d deleted file mode 100644 index bea5bf4..0000000 --- a/simple_examples/data/f08btje.d +++ /dev/null @@ -1,15 +0,0 @@ -F08BTF Example Program Data - - 5 4 2 :Values of M, N and NRHS - - ( 0.47,-0.34) (-0.40, 0.54) ( 0.60, 0.01) ( 0.80,-1.02) - (-0.32,-0.23) (-0.05, 0.20) (-0.26,-0.44) (-0.43, 0.17) - ( 0.35,-0.60) (-0.52,-0.34) ( 0.87,-0.11) (-0.34,-0.09) - ( 0.89, 0.71) (-0.45,-0.45) (-0.02,-0.57) ( 1.14,-0.78) - (-0.19, 0.06) ( 0.11,-0.85) ( 1.44, 0.80) ( 0.07, 1.14) :End of matrix A - - (-1.08,-2.59) ( 2.22, 2.35) - (-2.61,-1.49) ( 1.62,-1.48) - ( 3.13,-3.61) ( 1.65, 3.43) - ( 7.33,-8.01) (-0.98, 3.08) - ( 9.12, 7.63) (-2.84, 2.78) :End of matrix B diff --git a/simple_examples/data/f08xpje.d b/simple_examples/data/f08xpje.d deleted file mode 100644 index 39b5c87..0000000 --- a/simple_examples/data/f08xpje.d +++ /dev/null @@ -1,10 +0,0 @@ -F08XPJ Example Program Data -4 : Value of N -(-21.10,-22.50) ( 53.50,-50.50) (-34.50,127.50) ( 7.50, 0.50) -( -0.46, -7.78) ( -3.50,-37.50) (-15.50, 58.50) (-10.50, -1.50) -( 4.30, -5.50) ( 39.70,-17.10) (-68.50, 12.50) ( -7.50, -3.50) -( 5.50, 4.40) ( 14.40, 43.30) (-32.50,-46.00) (-19.00,-32.50) : End of A -( 1.00, -5.00) ( 1.60, 1.20) ( -3.00, 0.00) ( 0.00, -1.00) -( 0.80, -0.60) ( 3.00, -5.00) ( -4.00, 3.00) ( -2.40, -3.20) -( 1.00, 0.00) ( 2.40, 1.80) ( -4.00, -5.00) ( 0.00, -3.00) -( 0.00, 1.00) ( -1.80, 2.40) ( 0.00, -4.00) ( 4.00, -5.00) : End of B diff --git a/simple_examples/data/g02bjje.d b/simple_examples/data/g02bjje.d deleted file mode 100644 index eaa8921..0000000 --- a/simple_examples/data/g02bjje.d +++ /dev/null @@ -1,10 +0,0 @@ -G02BJF Example Program Data -5 4 3 :: N, M, NVARS - 3.0 3.0 1.0 2.0 - 6.0 4.0 -1.0 4.0 - 9.0 0.0 5.0 9.0 -12.0 2.0 0.0 0.0 --1.0 5.0 4.0 12.0 :: End of X - 1 1 0 1 :: MISS --1.0 0.0 0.0 0.0 :: XMISS -4 1 2 :: KVAR diff --git a/simple_examples/data/g02daje.d b/simple_examples/data/g02daje.d deleted file mode 100644 index 4e844ac..0000000 --- a/simple_examples/data/g02daje.d +++ /dev/null @@ -1,15 +0,0 @@ -G02DAJ Example Program Data -12 4 'U' 'M' -1.0 0.0 0.0 0.0 33.63 -0.0 0.0 0.0 1.0 39.62 -0.0 1.0 0.0 0.0 38.18 -0.0 0.0 1.0 0.0 41.46 -0.0 0.0 0.0 1.0 38.02 -0.0 1.0 0.0 0.0 35.83 -0.0 0.0 0.0 1.0 35.99 -1.0 0.0 0.0 0.0 36.58 -0.0 0.0 1.0 0.0 42.92 -1.0 0.0 0.0 0.0 37.80 -0.0 0.0 1.0 0.0 40.43 -0.0 1.0 0.0 0.0 37.89 -1 1 1 1 diff --git a/simple_examples/data/g02eeje.d b/simple_examples/data/g02eeje.d deleted file mode 100644 index b0c03a7..0000000 --- a/simple_examples/data/g02eeje.d +++ /dev/null @@ -1,24 +0,0 @@ -G02EEF Example Program Data - 20 6 'M' 'U' 2.0 :: N,M,MEAN,WEIGHT,FIN - 0.0 1125.0 232.0 7160.0 85.9 8905.0 1.5563 - 7.0 920.0 268.0 8804.0 86.5 7388.0 0.8976 - 15.0 835.0 271.0 8108.0 85.2 5348.0 0.7482 - 22.0 1000.0 237.0 6370.0 83.8 8056.0 0.7160 - 29.0 1150.0 192.0 6441.0 82.1 6960.0 0.3010 - 37.0 990.0 202.0 5154.0 79.2 5690.0 0.3617 - 44.0 840.0 184.0 5896.0 81.2 6932.0 0.1139 - 58.0 650.0 200.0 5336.0 80.6 5400.0 0.1139 - 65.0 640.0 180.0 5041.0 78.4 3177.0 -0.2218 - 72.0 583.0 165.0 5012.0 79.3 4461.0 -0.1549 - 80.0 570.0 151.0 4825.0 78.7 3901.0 0.0000 - 86.0 570.0 171.0 4391.0 78.0 5002.0 0.0000 - 93.0 510.0 243.0 4320.0 72.3 4665.0 -0.0969 - 100.0 555.0 147.0 3709.0 74.9 4642.0 -0.2218 - 107.0 460.0 286.0 3969.0 74.4 4840.0 -0.3979 - 122.0 275.0 198.0 3558.0 72.5 4479.0 -0.1549 - 129.0 510.0 196.0 4361.0 57.7 4200.0 -0.2218 - 151.0 165.0 210.0 3301.0 71.8 3410.0 -0.3979 - 171.0 244.0 327.0 2964.0 72.5 3360.0 -0.5229 - 220.0 79.0 334.0 2777.0 71.9 2599.0 -0.0458 :: End of X,Y - 0 1 1 1 1 2 :: ISX - 'DAY' 'BOD' 'TKN' 'TS ' 'TVS' 'COD' :: VNAME diff --git a/simple_examples/data/g02maje.d b/simple_examples/data/g02maje.d deleted file mode 100644 index b21e21c..0000000 --- a/simple_examples/data/g02maje.d +++ /dev/null @@ -1,23 +0,0 @@ -G02MAJ Example Program Data -20 6 :: N,M -1 3 1 6 0 :: MTYPE,PRED,PREY,MNSTEP,LISX -10.28 1.77 9.69 15.58 8.23 10.44 -46.47 -9.08 8.99 11.53 6.57 15.89 12.58 -35.80 -17.98 13.10 1.04 10.45 10.12 16.68 -129.22 -14.82 13.79 12.23 7.00 8.14 7.79 -42.44 -17.53 9.41 6.24 3.75 13.12 17.08 -73.51 -7.78 10.38 9.83 2.58 10.13 4.25 -26.61 -11.95 21.71 8.83 11.00 12.59 10.52 -63.90 -14.60 10.09 -2.70 9.89 14.67 6.49 -76.73 -3.63 9.07 12.59 14.09 9.06 8.19 -32.64 -6.35 9.79 9.40 12.79 8.38 16.79 -83.29 -4.66 3.55 16.82 13.83 21.39 13.88 -16.31 -8.32 14.04 17.17 7.93 7.39 -1.09 -5.82 -10.86 13.68 5.75 10.44 10.36 10.06 -47.75 -4.76 4.92 17.83 2.90 7.58 11.97 18.38 -5.05 10.41 9.89 9.04 7.90 13.12 -54.71 -5.41 9.32 5.27 15.53 5.06 19.84 -55.62 -9.77 2.37 9.54 20.23 9.33 8.82 -45.28 -14.28 4.34 14.23 14.95 18.16 11.03 -22.76 -10.17 6.80 3.17 8.57 16.07 15.93 -104.32 -5.39 2.67 6.37 13.56 10.68 7.35 -55.94 :: End of D, Y diff --git a/simple_examples/data/g03gaje.d b/simple_examples/data/g03gaje.d deleted file mode 100644 index ca1c97f..0000000 --- a/simple_examples/data/g03gaje.d +++ /dev/null @@ -1,56 +0,0 @@ -G03GAF Example Program Data -25 4 4 : N M IP -2 : NG -2 : SOPT -2 : POPT -15 : NITER -2.7 3.2 4.5 4.8 -3.9 3.8 5.9 6.2 -4.8 4.1 6.8 5.5 -3.1 3.5 4.3 4.6 -3.4 3.7 5.1 5.6 -3.1 3.4 4.1 4.7 -4.6 4.4 6.6 6.1 -3.1 3.3 4.0 4.9 -3.8 3.7 4.7 4.9 -5.2 4.9 8.2 6.9 -3.9 3.8 5.2 5.4 -4.1 4.0 5.6 5.6 -5.7 5.1 7.0 6.3 -3.0 3.2 4.5 5.0 -2.9 3.3 4.5 5.1 -3.4 3.3 4.4 5.0 -4.0 4.2 5.2 5.4 -3.0 3.0 4.6 5.0 -4.0 4.1 5.9 5.8 -3.0 3.2 4.4 5.1 -3.6 3.6 5.3 5.4 -3.1 3.2 4.6 5.0 -3.2 3.3 5.4 5.3 -3.0 3.4 4.2 4.7 -3.8 4.0 6.9 6.7 : X -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -0.0 1.0 -0.0 1.0 -0.0 1.0 -0.0 1.0 -0.0 1.0 -0.0 1.0 -0.0 1.0 -0.0 1.0 -0.0 1.0 -0.0 1.0 -0.0 1.0 -0.0 1.0 -0.0 1.0 : P diff --git a/simple_examples/data/g05kfje.d b/simple_examples/data/g05kfje.d deleted file mode 100644 index b55cba0..0000000 --- a/simple_examples/data/g05kfje.d +++ /dev/null @@ -1,3 +0,0 @@ -G05KFF Example Program Data -1 1 1762543 :: GENID,SUBID,SEED(1) -5 :: N diff --git a/simple_examples/data/g13naje.d b/simple_examples/data/g13naje.d deleted file mode 100644 index 4da5b32..0000000 --- a/simple_examples/data/g13naje.d +++ /dev/null @@ -1,14 +0,0 @@ -G13NAJ Example Program Data -100 :: N -0.00 0.78 -0.02 0.17 0.04 -1.23 0.24 1.70 0.77 0.06 -0.67 0.94 1.99 2.64 2.26 3.72 3.14 2.28 3.78 0.83 -2.80 1.66 1.93 2.71 2.97 3.04 2.29 3.71 1.69 2.76 -1.96 3.17 1.04 1.50 1.12 1.11 1.00 1.84 1.78 2.39 -1.85 0.62 2.16 0.78 1.70 0.63 1.79 1.21 2.20 -1.34 -0.04 -0.14 2.78 1.83 0.98 0.19 0.57 -1.41 2.05 1.17 -0.44 2.32 0.67 0.73 1.17 -0.34 2.95 1.08 2.16 2.27 --0.14 -0.24 0.27 1.71 -0.04 -1.03 -0.12 -0.67 1.15 -1.10 --1.37 0.59 0.44 0.63 -0.06 -0.62 0.39 -2.63 -1.63 -0.42 --0.73 0.85 0.26 0.48 -0.26 -1.77 -1.53 -1.39 1.68 0.43 :: End of Y -1 1 4.6 2 :: CTYPE,IPARAM,BETA,MINSS -1.0 :: PARAM(1) diff --git a/simple_examples/data/m01ccje.d b/simple_examples/data/m01ccje.d deleted file mode 100644 index 3a946ab..0000000 --- a/simple_examples/data/m01ccje.d +++ /dev/null @@ -1,13 +0,0 @@ -M01CCF Example Program Data -11 -A02AAF 289 -A02ABF 523 -A02ACF 531 -C02ADF 169 -C02AEF 599 -C05AUF 1351 -C05AVF 240 -C05AWF 136 -C05AXF 211 -C05AYF 183 -C05AZF 2181 diff --git a/simple_examples/data/s14abje.d b/simple_examples/data/s14abje.d deleted file mode 100644 index 083a4f4..0000000 --- a/simple_examples/data/s14abje.d +++ /dev/null @@ -1,10 +0,0 @@ -S14ABF Example Program Data - 1.0 - 1.25 - 1.5 - 1.75 - 2.0 - 5.0 - 10.0 - 20.0 - 1000.0 diff --git a/simple_examples/data/s14acje.d b/simple_examples/data/s14acje.d deleted file mode 100644 index 64a16c9..0000000 --- a/simple_examples/data/s14acje.d +++ /dev/null @@ -1,5 +0,0 @@ -S14ACJ Example Program Data -0.1 -0.5 -3.6 -8.0 diff --git a/simple_examples/data/s14afje.d b/simple_examples/data/s14afje.d deleted file mode 100644 index f658cc5..0000000 --- a/simple_examples/data/s14afje.d +++ /dev/null @@ -1,2 +0,0 @@ -S14AFJ Example Program Data --1.5 2.5 1 : Values of Z and K diff --git a/simple_examples/data/s17dcje.d b/simple_examples/data/s17dcje.d deleted file mode 100644 index fa0d57f..0000000 --- a/simple_examples/data/s17dcje.d +++ /dev/null @@ -1,6 +0,0 @@ -S17DCJ Example Program Data -0.00 0.3 0.4 'U' -2.30 2.0 0.0 'U' -2.12 -1.0 0.0 'U' -1.58 -2.3 5.6 'U' -1.58 -2.3 5.6 'S' diff --git a/simple_examples/data/s17dgje.d b/simple_examples/data/s17dgje.d deleted file mode 100644 index 3e62c29..0000000 --- a/simple_examples/data/s17dgje.d +++ /dev/null @@ -1,6 +0,0 @@ -S17DGF Example Program Data - 'F' ( 0.3, 0.4) 'U' - 'F' ( 0.2, 0.0) 'U' - 'F' ( 1.1, -6.6) 'U' - 'F' ( 1.1, -6.6) 'S' - 'D' (-1.0, 0.0) 'U' diff --git a/simple_examples/data/s30aaje.d b/simple_examples/data/s30aaje.d deleted file mode 100644 index 0248da1..0000000 --- a/simple_examples/data/s30aaje.d +++ /dev/null @@ -1,9 +0,0 @@ -S30AAJ Example Program Data -'C' : Call = 'C', Put = 'P' -55.0 0.3 0.1 0.0 : S, SIGMA, R, Q -3 2 : M, N -58.0 -60.0 -62.0 : X(I), I = 1,2,...M -0.7 -0.8 : T(I), I = 1,2,...N diff --git a/simple_examples/data/s30acje.d b/simple_examples/data/s30acje.d deleted file mode 100644 index 48117a7..0000000 --- a/simple_examples/data/s30acje.d +++ /dev/null @@ -1,9 +0,0 @@ -S30ACJ Example Program Data -'C' : Call = 'C', Put = 'P' -5 1 : Values of n and mode - -4.14 3.89 5.39 5.14 5.04 : p -268.0 268.0 268.0 268.5 269.0 : k -267.5 267.5 267.5 267.5 267.5 : s0 -0.00274 0.00274 0.0164 0.0164 0.0164 : t -0.0166 0.0166 0.0166 0.0166 0.0166 : r diff --git a/simple_examples/data/x03aaje.d b/simple_examples/data/x03aaje.d deleted file mode 100644 index 1254b78..0000000 --- a/simple_examples/data/x03aaje.d +++ /dev/null @@ -1,5 +0,0 @@ -X03AAJ Example Program Data - -2 -3 7 - 2 -5 3 - -9 1 0 - 8 -4 -2 diff --git a/simple_examples/int32/A00AAJE.java b/simple_examples/int32/A00AAJE.java deleted file mode 100644 index 65b6c18..0000000 --- a/simple_examples/int32/A00AAJE.java +++ /dev/null @@ -1,16 +0,0 @@ -import com.nag.routines.A00.A00AA; - -/** - * A00AA example program text. - */ -public class A00AAJE { - - public static void main(String[] args) { - A00AA a00aa = new A00AA(); - - System.out.println(" A00AAJ Example Program Results\n"); - a00aa.eval(); - - } - -} diff --git a/simple_examples/int32/A00ACJE.java b/simple_examples/int32/A00ACJE.java deleted file mode 100644 index 7f44ba3..0000000 --- a/simple_examples/int32/A00ACJE.java +++ /dev/null @@ -1,29 +0,0 @@ -import com.nag.routines.A00.A00AC; - -/** - * A00AC example program text. - * @author Mo - */ -public class A00ACJE { - - public static void main(String[] args) { - A00AC a00ac = new A00AC(); - boolean lmok; - - System.out.println(" A00ACJ Example Program Results\n"); - System.out.println(); - - a00ac.eval(); - - lmok = a00ac.eval(); - - if (lmok) { - System.out.println("A valid licence key is available"); - } - else { - System.out.println("No valid licence key was found"); - } - - } - -} diff --git a/simple_examples/int32/A00ADJE.java b/simple_examples/int32/A00ADJE.java deleted file mode 100644 index 139c8b9..0000000 --- a/simple_examples/int32/A00ADJE.java +++ /dev/null @@ -1,107 +0,0 @@ -import com.nag.routines.A00.A00AD; -import com.nag.routines.X05.X05AA; -import java.util.Arrays; - -/** - * A00AD example program text. - */ -public class A00ADJE { - - public static void main(String[] args) { - - A00AD a00ad = new A00AD(); - X05AA x05aa = new X05AA(); - int i, mkmaj, mkmin; - boolean licval; - String fcomp, hdware, impl, opsys, pcode, prec, vend; - int[] itime = new int[7]; - - // Instantiate arguments - mkmaj = 0; - mkmin = 0; - licval = false; - - // Strings must be length expected by Fortran - fcomp = getBlankString(80); - hdware = getBlankString(80); - impl = getBlankString(80); - opsys = getBlankString(80); - pcode = getBlankString(80); - prec = getBlankString(80); - vend = getBlankString(80); - - System.out.println(" A00ADJ Example Program Results\n"); - - a00ad.eval(impl, prec, pcode, mkmaj, mkmin, hdware, opsys, fcomp, vend, licval); - - // Output scalars must be retrieved manually - impl = a00ad.getIMPL(); - prec = a00ad.getPREC(); - pcode = a00ad.getPCODE(); - mkmaj = a00ad.getMKMAJ(); - mkmin = a00ad.getMKMIN(); - hdware = a00ad.getHDWARE(); - opsys = a00ad.getOPSYS(); - fcomp = a00ad.getFCOMP(); - vend = a00ad.getVEND(); - licval = a00ad.getLICVAL(); - - // Print implementation details - - System.out.println("*** Start of NAG Library implementation details ***"); - System.out.println(); - System.out.println("Implementation title: " + impl.trim()); - System.out.println(" Precision: " + prec.trim()); - System.out.println(" Product code: " + pcode.trim()); - - if (mkmin < 10) { - System.out.printf(" Mark: %2d.%1d\n", mkmaj, mkmin); - } - else { - System.out.printf(" Mark: %2d.%2d\n", mkmaj, mkmin); - } - - if (vend.trim().equals("(self-contained)")) { - System.out.println(" Vendor Library: None"); - } - else { - System.out.println(" Vendor Library: " + vend.trim()); - } - - System.out.println("Applicable to:"); - System.out.println(" hardware: " + hdware.trim()); - System.out.println(" operating system: " + opsys.trim()); - System.out.println(" Fortran compiler: " + fcomp.trim()); - System.out.println("and compatible systems."); - - if (!licval) { - System.out.println(" Licence query: Unsuccessful"); - } - else { - System.out.println(" Licence query: Successful"); - } - - System.out.println(); - System.out.println("*** End of NAG Library implementation details ***"); - - } - - /** - * Returns a new String, filled with spaces to the specified length. - * - * @param len the required length of the String - * @return a blank String of the specified length - */ - public static String getBlankString(int len) { - - if (len > 0) { - char[] arr = new char[len]; - Arrays.fill(arr, ' '); - return new String(arr); - } - - return ""; - - } - -} diff --git a/simple_examples/int32/C02AAJE.java b/simple_examples/int32/C02AAJE.java deleted file mode 100644 index 1abc528..0000000 --- a/simple_examples/int32/C02AAJE.java +++ /dev/null @@ -1,174 +0,0 @@ -import com.nag.routines.C02.C02AA; -import com.nag.routines.Routine; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X02.X02AL; -import com.nag.types.NAGComplex; -import java.util.Arrays; - -/** - * C02AA example program text. - * @author joed - * @since 27.1.0.0 - */ -public class C02AAJE { - - public static void main(String[] args) { - - System.out.println(" C02AAJ Example Program Results"); - - Routine.setComplex(new NAGComplex()); - exampleBasic(); - examplePolishing(); - - System.out.println(); - - } - - /** Demonstrate a basic problem. */ - public static void exampleBasic() { - - C02AA c02aa = new C02AA(); - int ifail, itmax, n, polish; - NAGComplex[] a, z; - double[] berr, cond; - int[] conv; - - System.out.println(); - System.out.println("Example 1: Basic Problem"); - System.out.println(); - - // Set polynomial degree and instantiate arrays - n = 5; - a = new NAGComplex[n+1]; - berr = new double[n]; - cond = new double[n]; - conv = new int[n]; - z = NAGComplex.createArray(n); - - // Set polynomial coefficients - a[0] = new NAGComplex(5.0, 6.0); - a[1] = new NAGComplex(30.0, 20.0); - a[2] = new NAGComplex(-0.2, -6.0); - a[3] = new NAGComplex(50.0, 100000.0); - a[4] = new NAGComplex(-2.0, 40.0); - a[5] = new NAGComplex(10.0, 1.0); - - // Find roots of the polynomial - itmax = 30; - polish = 1; - ifail = 0; - c02aa.eval(a, n, itmax, polish, z, berr, cond, conv, ifail); - - // Print output - System.out.println(" i z conv berr cond "); - System.out.println(" ---------------------------------------------------"); - for (int i = 0; i < n; i++) { - System.out.printf(" %2d %9.2E, %9.2E %3d %9.2E %9.2E\n", i+1, - z[i].getRe(), z[i].getIm(), conv[i], berr[i], cond[i]); - } - - } - - /** Compare polishing processes on a Wilkinson-style polynomial. */ - public static void examplePolishing() { - - C02AA c02aa = new C02AA(); - X02AJ x02aj = new X02AJ(); - X02AL x02al = new X02AL(); - NAGComplex pz; - double delta, eps, err, fwderr, maxfwderr, maxrelerr, relerr, rmax; - int ifail, itmax, k, n, polish; - NAGComplex[] a, z, zact; - double[] berr, cond; - int[] conv; - boolean[] matched; - - System.out.println(); - System.out.println("Example 2: Polishing Processes"); - System.out.println(); - - // Set polynomial degree and instantiate - n = 10; - a = new NAGComplex[n+1]; - berr = new double[n]; - cond = new double[n]; - conv = new int[n]; - matched = new boolean[n]; - z = new NAGComplex[n]; - zact = new NAGComplex[n]; - - // Set known roots and (instantiate z) - for (int i = 0; i < n; i++) { - zact[i] = new NAGComplex((double) i+1, 0.0); - z[i] = new NAGComplex(); - } - - // Multiply out (z-1)(z-2)...(z-n) for coefficients - for (int i = 0; i < n; i++) { - a[i] = new NAGComplex(); - } - a[n] = new NAGComplex(1.0, 0.0); - for (int i = 0; i < n; i++) { - for (int j = 0; j < n; j++) { - a[j] = a[j+1].subtract(a[j].multiply(zact[i])); - } - a[n] = a[n].negate().multiply(zact[i]); - } - - System.out.println(" polish relerr fwderr "); - System.out.println(" ----------------------------"); - - itmax = 30; - eps = x02aj.eval(); - rmax = x02al.eval(); - - for (polish = 0; polish <= 2; polish++) { - - // Find roots - ifail = 0; - c02aa.eval(a, n, itmax, polish, z, berr, cond, conv, ifail); - - /* Calculate the maximum relative errors of the roots, and the maximum - * forward error evaluating the polynomial at those roots. Errors are - * capped at machine precision. */ - maxrelerr = maxfwderr = eps; - Arrays.fill(matched, false); - - for (int i = 0; i < n; i++) { - - // Evaluate polynomial at this root - pz = a[0].clone(); - for (int j = 1; j <= n; j++) { - pz = z[i].multiply(pz).add(a[j]); - } - - // Match to an expected root - k = 0; - err = rmax; - for (int j = 0; j < n; j++) { - if (!matched[j]) { - delta = z[i].subtract(zact[j]).abs(); - if (delta <= err) { - err = delta; - k = j; - } - } - } - - // Mark as matched and update max errors - matched[k] = true; - relerr = err/zact[k].abs(); - fwderr = pz.abs(); - maxrelerr = Math.max(maxrelerr, relerr); - maxfwderr = Math.max(maxfwderr, fwderr); - - } - - // Print output - System.out.printf(" %2d %10.2E%10.2E\n", polish, maxrelerr, maxfwderr); - - } - - } - -} diff --git a/simple_examples/int32/C02ABJE.java b/simple_examples/int32/C02ABJE.java deleted file mode 100644 index fad5ebb..0000000 --- a/simple_examples/int32/C02ABJE.java +++ /dev/null @@ -1,217 +0,0 @@ -import com.nag.routines.C02.C02AB; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X02.X02AL; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.util.Arrays; - -/** - * C02AB - */ -public class C02ABJE { - - public static void main(String[] args) { - - final boolean polish_example = false; - - Routine.setComplex(new NAGComplex()); - - System.out.println(" C02ABJ Example Program Results"); - - ex1_basic(args); - if (polish_example) { - ex2_polishing(args); - } - } - - public static void ex1_basic(String[] args) { - - int i, ifail, itmax, n = 0, polish; - - NAGComplex[] z = null; - double[] a = null, berr = null, cond = null; - int[] conv = null; - - System.out.println("\n Basic Problem\n"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading in data file - String line = reader.readLine(); - line = reader.readLine(); - line = reader.readLine(); - - // Read polynomial degree and allocate - line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - a = new double[n + 1]; - berr = new double[n]; - cond = new double[n]; - conv = new int[n]; - z = NAGComplex.createArray(n); - - // Read polynomial coefficients - for (i = 0; i <= n; i++) { - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - a[i] = Double.parseDouble(sVal[0]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Find roots of the polynomial - itmax = 30; - polish = 1; - ifail = 0; - C02AB c02ab = new C02AB(); - c02ab.eval(a ,n, itmax, polish, z, berr, cond, conv, ifail); - - // Print output - System.out.println(" i z conv berr cond"); - System.out.println(" -----------------------------------------------------"); - for (i = 0; i < n; i++) { - System.out.printf(" %2d (%10.2E, %9.2E) %3d %9.2E %9.2E\n", i+1, z[i].getRe(), z[i].getIm(), conv[i], berr[i], cond[i]); - } - } - - public static void ex2_polishing(String[] args) { - NAGComplex pz = new NAGComplex(); - double delta, eps, err, fwderr, maxfwderr, maxrelerr, relerr, rmax; - int i, ifail, itmax, j, k, n = 0, polish; - - NAGComplex[] z = null, zact = null; - double[] a = null, berr = null, cond = null; - int[] conv = null; - boolean[] matched = null; - - System.out.println("\n Polishing Processes\n"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading and previous example in data file - for (i = 0; i <= 12; i++) { - reader.readLine(); - } - - // Read polynomial degree and allocate - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - - a = new double[n + 1]; - berr = new double[n]; - cond = new double[n]; - conv = new int[n]; - matched = new boolean[n]; - z = NAGComplex.createArray(n); - zact = NAGComplex.createArray(n); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Set known roots - for (i = 0; i < n; i++) { - zact[i] = new NAGComplex((double) (i + 1), 0.0); - } - - // Multiply out (z-1)(z-2)...(z-n) for coefficients - for (i = 0; i < n; i++) { - a[i] = 0.0; - } - a[n] = 1.0; - for (i = 0; i < n; i++) { - for (j = 0; j < n; j++) { - a[j] = a[j + 1] - a[j] * zact[i].getRe(); - } - a[n] = -a[n] * zact[i].getRe(); - } - - System.out.println(" polish relerr fwderr"); - System.out.println(" ----------------------------"); - - // Use different polish modes - X02AJ x02aj = new X02AJ(); - X02AL x02al = new X02AL(); - for (polish = 0; polish <= 2; polish++) { - - itmax = 30; - eps = x02aj.eval(); - rmax = x02al.eval(); - - // Find roots - ifail = 0; - C02AB c02ab = new C02AB(); - c02ab.eval(a, n , itmax, polish, z, berr, cond, conv, ifail); - - // Calculate the maximum relative errors of the roots, and the maximum - // forward error evaluating the polynomial at those roots. Errors are - // capped at machine precision. - maxrelerr = eps; - maxfwderr = eps; - Arrays.fill(matched, false); - - for (i = 0; i < n; i++) { - // Evaluate polynomial at this root - pz = new NAGComplex(a[0], 0.0); - for (j = 1; j <= n; j++) { - pz = z[i].multiply(pz).add(new NAGComplex(a[j], 0.0)); - } - - // Match to an expected root - k = 0; - err = rmax; - for (j = 0; j < n; j++) { - if (!matched[j]) { - delta = z[i].subtract(zact[j]).abs(); - if (delta <= err) { - err = delta; - k = j; - } - } - } - - // Mark as matched and update max errors - matched[k] = true; - relerr = err/zact[k].abs(); - fwderr = pz.abs(); - maxrelerr = Math.max(maxrelerr, relerr); - maxfwderr = Math.max(maxfwderr, fwderr); - } - - // Print output - System.out.printf(" %2d %10.2E%10.2E\n", polish, maxrelerr, maxfwderr); - - } - } -} diff --git a/simple_examples/int32/C02AFJE.java b/simple_examples/int32/C02AFJE.java deleted file mode 100644 index 6043be7..0000000 --- a/simple_examples/int32/C02AFJE.java +++ /dev/null @@ -1,271 +0,0 @@ -import com.nag.routines.C02.C02AF; -import com.nag.routines.A02.A02AB; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X02.X02AL; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.util.Arrays; - -/** - * C02AF - */ -public class C02AFJE { - - public static final boolean scal = true; - - public static void main(String[] args) { - - System.out.println(" C02AFJ Example Program Results"); - - ex1(args); - - ex2(args); - } - - public static void ex1(String[] args) { - - int i, ifail, n = 0; - - double[][] a = null, z = null; - double[] w = null; - - System.out.println("\n\n Example 1"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading in data file - reader.readLine(); - reader.readLine(); - reader.readLine(); - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - - a = new double[2][n + 1]; - w = new double[4 * (n + 1)]; - z = new double[2][n]; - - for (i = 0; i <= n; i++) { - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - a[0][i] = Double.parseDouble(sVal[0]); - a[1][i] = Double.parseDouble(sVal[1]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = 0; - C02AF c02af = new C02AF(); - double[] a1d = convert2DTo1D(a); - double[] z1d = convert2DTo1D(z); - c02af.eval(a1d, n, scal, z1d, w, ifail); - - z = convert1DTo2D(z1d, 2); - - System.out.println(); - System.out.printf(" Degree of polynomial = %4d\n", n); - System.out.println(); - System.out.println(" Computed roots of polynomial"); - System.out.println(); - - for (i = 0; i < n; i++) { - System.out.printf(" z = %12.4E%+12.4E*i\n", z[0][i], z[1][i]); - } - - } - - public static void ex2(String[] args) { - - double deltac, deltai, di, eps, epsbar, f, r1, r2, r3, rmax; - int i, ifail, j, jmin = 0, n = 0; - - double[][] a = null, abar = null, z = null, zbar = null; - double[] r = null, w = null; - int[] m = null; - - System.out.println("\n\n Example 2"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading and previous example in data file - for (i = 0; i < 12; i++) { - reader.readLine(); - } - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - a = new double[2][n + 1]; - abar = new double[2][n + 1]; - r = new double[n]; - w = new double[4 * (n + 1)]; - z = new double[2][n]; - zbar = new double[2][n]; - m = new int[n]; - - // Read in the coefficients of the original polynomial. - for (i = 0; i <= n; i++) { - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - a[0][i] = Double.parseDouble(sVal[0]); - a[1][i] = Double.parseDouble(sVal[1]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Compute the roots of the original polynomial. - ifail = 0; - C02AF c02af = new C02AF(); - double[] a1d = convert2DTo1D(a); - double[] z1d = convert2DTo1D(z); - c02af.eval(a1d, n, scal, z1d, w, ifail); - - z = convert1DTo2D(z1d, 2); - - // Form the coefficients of the perturbed polynomial. - X02AJ x02aj = new X02AJ(); - eps = x02aj.eval(); - epsbar = 3.0 * eps; - - for (i = 0; i <= n; i++) { - if (a[0][i] != 0.0E0) { - f = 1.0E0 + epsbar; - epsbar = -epsbar; - abar[0][i] = f * a[0][i]; - - if (a[1][i] != 0.0E0) { - abar[1][i] = f * a[1][i]; - } else { - abar[1][i] = 0.0E0; - } - - } else { - - if (a[1][i] != 0.0E0) { - f = 1.0E0 + epsbar; - epsbar = -epsbar; - abar[1][i] = f * a[1][i]; - } else { - abar[1][i] = 0.0E0; - } - } - } - - // Compute the roots of the perturbed polynomial. - ifail = 0; - double[] abar1d = convert2DTo1D(abar); - double[] zbar1d = convert2DTo1D(zbar); - c02af.eval(abar1d, n, scal, zbar1d, w, ifail); - - zbar = convert1DTo2D(zbar1d, 2); - - // Perform error analysis. - - // Initialize markers to 0 (unmarked). - Arrays.fill(m, 0); - X02AL x02al = new X02AL(); - rmax = x02al.eval(); - - // Loop over all unperturbed roots (stored in Z). - A02AB a02ab = new A02AB(); - for (i = 0; i < n; i++) { - deltai = rmax; - r1 = a02ab.eval(z[0][i], z[1][i]); - - // Loop over all perturbed roots (stored in ZBAR). - for (j = 0; j < n; j++) { - // Compare the current unperturbed root to all unmarked - // perturbed roots. - - if (m[j] == 0) { - r2 = a02ab.eval(zbar[0][j], zbar[1][j]); - deltac = Math.abs(r1 - r2); - - if (deltac < deltai) { - deltai = deltac; - jmin = j; - } - } - } - - // Mark the selected perturbed root. - m[jmin] = 1; - - // Compute the relative error. - if (r1 != 0.0E0) { - r3 = a02ab.eval(zbar[0][jmin], zbar[1][jmin]); - di = Math.min(r1, r3); - r[i] = Math.max(deltai / Math.max(di, deltai / rmax), eps); - } else { - r[i] = 0.0E0; - } - } - - System.out.println(); - System.out.printf(" Degree of polynomial = %4d\n", n); - System.out.println(); - System.out.println(" Computed roots of polynomial Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < n; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", z[0][i], z[1][i], r[i]); - } - - } - - public static double[] convert2DTo1D(double[][] a) { - double[] b = new double[a.length * a[0].length]; - int n = a.length; - - for (int i = 0; i < a.length; i++) { - for (int j = 0; j < a[0].length; j++) { - b[i + j*n] = a[i][j]; - } - } - - return b; - } - - public static double[][] convert1DTo2D(double[] a, int n) { - double[][] b = new double[n][a.length / n]; - - for (int i = 0; i < b.length; i++) { - for (int j = 0; j < b[0].length; j++) { - b[i][j] = a[i + j*n]; - } - } - - return b; - } -} diff --git a/simple_examples/int32/C02AGJE.java b/simple_examples/int32/C02AGJE.java deleted file mode 100644 index c58e524..0000000 --- a/simple_examples/int32/C02AGJE.java +++ /dev/null @@ -1,262 +0,0 @@ -import com.nag.routines.C02.C02AG; -import com.nag.routines.A02.A02AB; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X02.X02AL; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.util.Arrays; - -/** - * C02AG - */ -public class C02AGJE { - - public static final boolean scal = true; - - public static void main(String[] args) { - - System.out.println(" C02AGJ Example Program Results"); - - ex1(args); - - ex2(args); - } - - public static void ex1(String[] args) { - double zi, zr; - int i, ifail, n = 0, nroot; - - double[] a = null, w = null; - double[][] z = null; - - System.out.println("\n\n Example 1\n"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading in data file - reader.readLine(); - reader.readLine(); - reader.readLine(); - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - a = new double[n + 1]; - w = new double[2 * (n + 1)]; - z = new double[2][n]; - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i <= n; i++) { - a[i] = Double.parseDouble(sVal[i]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - System.out.println(); - System.out.printf(" Degree of polynomial = %4d\n", n); - System.out.println(); - - ifail = 0; - C02AG c02ag = new C02AG(); - double[] z1d = convert2DTo1D(z); - c02ag.eval(a, n, scal, z1d, w, ifail); - - z = convert1DTo2D(z1d, 2); - - System.out.println(" Computed roots of polynomial"); - System.out.println(); - - nroot = 0; - - while (nroot < n) { - zr = z[0][nroot]; - zi = z[1][nroot]; - if (zi == 0.0E0) { - System.out.printf(" z = %12.4E\n", zr); - nroot += 1; - } else { - System.out.printf(" z = %12.4E +/- %12.4E*i\n", zr, Math.abs(zi)); - nroot += 2; - } - } - } - - public static void ex2(String[] args) { - - double deltac, deltai, di, eps, epsbar, f, r1, r2, r3, rmax; - int i, ifail, j, jmin = 0, n = 0; - - double[] a = null, abar = null, r = null, w = null; - double[][] z = null, zbar = null; - int[] m = null; - - System.out.println("\n\n Example 2"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading and previous example in data file - for (i = 0; i < 7; i++) { - reader.readLine(); - } - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - - a = new double[n+1]; - abar = new double[n+1]; - r = new double[n]; - w = new double[2 * (n+1)]; - z = new double[2][n]; - zbar = new double[2][n]; - m = new int[n]; - - // Read in the coefficients of the original polynomial. - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i <= n; i++) { - a[i] = Double.parseDouble(sVal[i]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Compute the roots of the original polynomial. - ifail = 0; - C02AG c02ag = new C02AG(); - double[] z1d = convert2DTo1D(z); - c02ag.eval(a, n, scal, z1d ,w, ifail); - - z = convert1DTo2D(z1d, 2); - - // Form the coefficients of the perturbed polynomial. - X02AJ x02aj = new X02AJ(); - eps = x02aj.eval(); - epsbar= 3.0 * eps; - - for (i = 0; i <= n; i++) { - if (a[i] != 0.0) { - f = 1.0 + epsbar; - epsbar = -epsbar; - abar[i] = f * a[i]; - } else { - abar[i] = 0.0E0; - } - } - - // Compute the roots of the perturbed polynomial. - ifail = 0; - double[] zbar1d = convert2DTo1D(zbar); - c02ag.eval(abar, n, scal, zbar1d, w, ifail); - - zbar = convert1DTo2D(zbar1d, 2); - - // Perform error analysis. - - // Initialize markers to 0 (unmarked). - Arrays.fill(m, 0); - - X02AL x02al = new X02AL(); - rmax = x02al.eval(); - - // Loop over all unperturbed roots (stored in Z). - A02AB a02ab = new A02AB(); - for (i = 0; i < n; i++) { - deltai = rmax; - r1 = a02ab.eval(z[0][i], z[1][i]); - - // Loop over all perturbed roots (stored in ZBAR). - for (j = 0; j < n; j++) { - // Compare the current unperturbed root to all unmarked - // perturbed roots. - - if (m[j] == 0) { - r2 = a02ab.eval(zbar[0][i], zbar[1][i]); - deltac = Math.abs(r1-r2); - - if (deltac < deltai) { - deltai = deltac; - jmin = j; - } - } - } - - // Mark the selected perturbed root. - m[jmin] = 1; - - // Compute the relative error. - if (r1 != 0.0E0) { - r3 = a02ab.eval(zbar[0][jmin], zbar[1][jmin]); - di = Math.min(r1, r3); - r[i] = Math.max(deltai / Math.max(di, deltai / rmax), eps); - } else { - r[i] = 0.0; - } - } - - System.out.println(); - System.out.printf(" Degree of polynomial = %4d\n", n); - System.out.println(); - System.out.println(" Computed roots of polynomial Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < n; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", z[0][i], z[1][i], r[i]); - } - } - - public static double[] convert2DTo1D(double[][] a) { - double[] b = new double[a.length * a[0].length]; - int n = a.length; - - for (int i = 0; i < a.length; i++) { - for (int j = 0; j < a[0].length; j++) { - b[i + j * n] = a[i][j]; - } - } - - return b; - } - - public static double[][] convert1DTo2D(double[] a, int n) { - double[][] b = new double[n][a.length / n]; - - for (int i = 0; i < b.length; i++) { - for (int j = 0; j < b[0].length; j++) { - b[i][j] = a[i + j * n]; - } - } - - return b; - } -} diff --git a/simple_examples/int32/C02AHJE.java b/simple_examples/int32/C02AHJE.java deleted file mode 100644 index b1e12cd..0000000 --- a/simple_examples/int32/C02AHJE.java +++ /dev/null @@ -1,61 +0,0 @@ -import com.nag.routines.C02.C02AH; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AH - */ -public class C02AHJE { - - public static void main(String[] args) { - - double ai = 0, ar = 0, bi = 0, br = 0, ci = 0, cr = 0; - int ifail; - - double[] zlg = new double[2]; - double[] zsm = new double[2]; - - System.out.println(" C02AHJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - ar = Double.parseDouble(sVal[0]); - ai = Double.parseDouble(sVal[1]); - br = Double.parseDouble(sVal[2]); - bi = Double.parseDouble(sVal[3]); - cr = Double.parseDouble(sVal[4]); - ci = Double.parseDouble(sVal[5]); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = -1; - C02AH c02ah = new C02AH(); - c02ah.eval(ar, ai, br, bi, cr, ci, zsm, zlg, ifail); - ifail = c02ah.getIFAIL(); - - if (ifail == 0) { - System.out.println("\n Roots of quadratic equation\n"); - System.out.printf(" z = %12.4E%+14.4E*i\n", zsm[0], zsm[1]); - System.out.printf(" z = %12.4E%+14.4E*i\n", zlg[0], zlg[1]); - } - } -} diff --git a/simple_examples/int32/C02AJJE.java b/simple_examples/int32/C02AJJE.java deleted file mode 100644 index 64e3a5e..0000000 --- a/simple_examples/int32/C02AJJE.java +++ /dev/null @@ -1,65 +0,0 @@ -import com.nag.routines.C02.C02AJ; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AJ - */ -public class C02AJJE { - - public static void main(String[] args) { - - double a = 0, b = 0, c = 0; - int ifail; - - double[] zlg = new double[2]; - double[] zsm = new double[2]; - - System.out.println(" C02AJJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - a = Double.parseDouble(sVal[0]); - b = Double.parseDouble(sVal[1]); - c = Double.parseDouble(sVal[2]); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = -1; - C02AJ c02aj = new C02AJ(); - c02aj.eval(a, b, c, zsm, zlg, ifail); - ifail = c02aj.getIFAIL(); - - if (ifail == 0) { - System.out.println("\n Roots of quadratic equation\n"); - - if (zsm[1] == 0.0E0) { - // 2 real roots. - System.out.printf(" z = %12.4E\n", zsm[0]); - System.out.printf(" z = %12.4E\n", zlg[0]); - } else { - // 2 complex roots. - System.out.printf(" z = %12.4E +/- %12.4E*i", zsm[0], Math.abs(zsm[1])); - } - } - } -} diff --git a/simple_examples/int32/C02AKJE.java b/simple_examples/int32/C02AKJE.java deleted file mode 100644 index 4a0579f..0000000 --- a/simple_examples/int32/C02AKJE.java +++ /dev/null @@ -1,62 +0,0 @@ -import com.nag.routines.C02.C02AK; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AK - */ -public class C02AKJE { - - public static void main(String[] args) { - - double r = 0, s = 0, t = 0, u = 0; - int i, ifail; - - double[] errest = new double[3]; - double[] zeroi = new double[3]; - double[] zeror = new double[3]; - - System.out.println(" C02AKJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - u = Double.parseDouble(sVal[0]); - r = Double.parseDouble(sVal[1]); - s = Double.parseDouble(sVal[2]); - t = Double.parseDouble(sVal[3]); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = 0; - C02AK c02ak = new C02AK(); - c02ak.eval(u, r, s, t, zeror, zeroi, errest, ifail); - - System.out.println(); - System.out.println(" Roots of cubic equation Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < 3; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); - } - } -} diff --git a/simple_examples/int32/C02ALJE.java b/simple_examples/int32/C02ALJE.java deleted file mode 100644 index 4f9eac9..0000000 --- a/simple_examples/int32/C02ALJE.java +++ /dev/null @@ -1,64 +0,0 @@ -import com.nag.routines.C02.C02AL; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AL - */ -public class C02ALJE { - - public static void main(String[] args) { - - double a = 0, b = 0, c = 0, d = 0, e = 0; - int i, ifail; - - double[] errest = new double[4]; - double[] zeroi = new double[4]; - double[] zeror = new double[4]; - - System.out.println(" C02ALJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - e = Double.parseDouble(sVal[0]); - a = Double.parseDouble(sVal[1]); - b = Double.parseDouble(sVal[2]); - c = Double.parseDouble(sVal[3]); - d = Double.parseDouble(sVal[4]); - - } catch (FileNotFoundException e_exception) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e_exception) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e_exception.getMessage()); - } - - ifail = 0; - C02AL c02al = new C02AL(); - c02al.eval(e, a, b, c, d, zeror, zeroi, errest, ifail); - ifail = c02al.getIFAIL(); - - System.out.println(); - System.out.println(" Roots of quartic equation Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < 4; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); - } - } -} diff --git a/simple_examples/int32/C02AMJE.java b/simple_examples/int32/C02AMJE.java deleted file mode 100644 index f1fffa4..0000000 --- a/simple_examples/int32/C02AMJE.java +++ /dev/null @@ -1,75 +0,0 @@ -import com.nag.routines.C02.C02AM; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AM - */ -public class C02AMJE { - - public static void main(String[] args) { - - Routine.setComplex(new NAGComplex()); - - NAGComplex r = null, s = null, t = null, u = null; - int i, ifail; - - double[] errest = new double[3]; - double[] zeroi = new double[3]; - double[] zeror = new double[3]; - - System.out.println(" C02AMJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine().replaceAll("[(),]", ""); - String[] sVal = line.trim().split("\\s+"); - u = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - r = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - s = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - t = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = 0; - C02AM c02am = new C02AM(); - c02am.eval(u, r, s, t, zeror, zeroi, errest, ifail); - - System.out.println(); - System.out.println(" Roots of cubic equation Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < 3; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); - } - } -} diff --git a/simple_examples/int32/C02ANJE.java b/simple_examples/int32/C02ANJE.java deleted file mode 100644 index dc865e2..0000000 --- a/simple_examples/int32/C02ANJE.java +++ /dev/null @@ -1,80 +0,0 @@ -import com.nag.routines.C02.C02AN; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AN - */ -public class C02ANJE { - - public static void main(String[] args) { - - Routine.setComplex(new NAGComplex()); - - NAGComplex a = null, b = null, c = null, d = null, e = null; - int i, ifail; - - double[] errest = new double[4]; - double[] zeroi = new double[4]; - double[] zeror = new double[4]; - - System.out.println(" C02ANJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine().replaceAll("[(),]", ""); - String[] sVal = line.trim().split("\\s+"); - e = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - a = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - b = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - c = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - d = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - } catch (FileNotFoundException e_exception) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e_exception) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e_exception.getMessage()); - } - - ifail = 0; - C02AN c02an = new C02AN(); - c02an.eval(e, a, b, c, d, zeror, zeroi, errest, ifail); - ifail = c02an.getIFAIL(); - - System.out.println(); - System.out.println(" Roots of quartic equation Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < 4; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); - } - } -} diff --git a/simple_examples/int32/C05AUJE.java b/simple_examples/int32/C05AUJE.java deleted file mode 100644 index d2b09b1..0000000 --- a/simple_examples/int32/C05AUJE.java +++ /dev/null @@ -1,67 +0,0 @@ -import com.nag.routines.C05.C05AU; - -/** - * C05AUJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class C05AUJE{ - - /** - * C05AUJ main program - */ - public static void main(String[] args){ - double a = 0, b = 0, eps, eta, h, x; //placeholders - int ifail; - double[] ruser; - int[] iuser; - - ruser = new double[1]; //need to initialise before passing to wrapper - iuser = new int[1]; - - System.out.println("C05AUJ Example Program Results"); - - x = 1; - h = 0.1; - eps = 0.00001; - eta = 0; - - //Instance of class f to pass to wrapper - f f1 = new f(); - - ifail = -1; - C05AU c05au = new C05AU(x, h, eps, eta, f1, a, b, iuser, ruser, ifail); - c05au.eval(); - - //update values - x = c05au.getX(); - a = c05au.getA(); - b = c05au.getB(); - ifail = c05au.getIFAIL(); - - System.out.println(); - - switch(ifail){ - case 0: - System.out.printf("Root is : \t%.5f\n", x); - System.out.printf("Interval searched is : \t[ %.5f, %.5f]\n", a, b); - break; - case 3: - case 4: - System.out.printf("Final value = %.5f\n", x); - break; - } - } - - /** - * Extends abstract class C05AU.Abstract_C05AU_F. eval() returns the value of the function at a given x. - * eval() must be implemented by the user. - * @return x - e^x - */ - public static class f extends C05AU.Abstract_C05AU_F{ - public double eval(){ - return(this.X - Math.exp(-this.X)); - } - } -} - diff --git a/simple_examples/int32/C05AWJE.java b/simple_examples/int32/C05AWJE.java deleted file mode 100644 index 6ea3c9f..0000000 --- a/simple_examples/int32/C05AWJE.java +++ /dev/null @@ -1,59 +0,0 @@ -import com.nag.routines.C05.C05AW; - -public class C05AWJE{ - - public static void main(String[] args){ - double eps, eta, x; - int ifail, nfmax; - double[] ruser; - int[] iuser; - - ruser = new double[1]; - iuser = new int[1]; - - System.out.println("C05AWJ Example Program Results"); - System.out.println(); - - boolean finished = false; - for(int i = 3; i <= 4; i++){ - eps = Math.pow(10, -i); - x = 1; - eta = 0; - nfmax = 200; - - ifail = -1; - f f1 = new f(); - C05AW c05aw = new C05AW(x, eps, eta, f1, nfmax, iuser, ruser, ifail); - c05aw.eval(); - - ifail = c05aw.getIFAIL(); - x = c05aw.getX(); - eps = c05aw.getEPS(); - - switch(ifail){ - case(0): - System.out.printf("With eps = %.2e root = %.5f\n", eps, x); - break; - case(-1): - //exit loop - finished = true; - break; - case(3): - case(4): - System.out.printf("With eps = %.2e root = %.5f\n", eps, x); - break; - } - if(finished){ - break; - } - } - } - - public static class f extends C05AW.Abstract_C05AW_F{ - public double eval(){ - return(Math.exp(-X) - X); - } - } -} - - diff --git a/simple_examples/int32/C05AYJE.java b/simple_examples/int32/C05AYJE.java deleted file mode 100644 index c9ee43b..0000000 --- a/simple_examples/int32/C05AYJE.java +++ /dev/null @@ -1,44 +0,0 @@ -import com.nag.routines.C05.C05AY; - -/** - * C05AY example program text. - */ -public class C05AYJE { - - public static void main(String[] args) { - - C05AY c05ay = new C05AY(); - OBJFUN f = new OBJFUN(); - double a = 0.0, b = 1.0, eps = 1.0e-5, eta = 0.0, x = 0.0; - int ifail = 0; - int[] iuser = new int[1]; - double[] ruser = new double[1]; - - System.out.println("C05AYJ Example Program Results"); - System.out.println(); - - c05ay.eval(a, b, eps, eta, f, x, iuser, ruser, ifail); - x = c05ay.getX(); - - switch (ifail) { - case 0: - System.out.printf("Zero at x = %12.5f\n", x); - break; - case 2: case 3: - System.out.printf("Final point = %12.5f\n", x); - break; - default: - System.out.println("Unexpected ifail = " + ifail); - } - - } - - private static class OBJFUN extends C05AY.Abstract_C05AY_F { - - public double eval() { - return Math.exp(-X) - X; - } - - } - -} diff --git a/simple_examples/int32/C05AZJE.java b/simple_examples/int32/C05AZJE.java deleted file mode 100644 index 7c3e27e..0000000 --- a/simple_examples/int32/C05AZJE.java +++ /dev/null @@ -1,65 +0,0 @@ -import com.nag.routines.C05.C05AZ; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * C05AZ example program text. - */ -public class C05AZJE { - - public static void main(String[] args) { - double tolx = 0.00001, x = 0.0, y = 1.0, fx; - int ir = 0, ind = 1, ifail = -1; - double[] c = new double[17]; - boolean keepOn = true; - - - C05AZ c05az = new C05AZ(); - fx = fun(x); - int ite = 0; - - System.out.println(" C05AZJ Example Program Results\n"); - System.out.println(" Iterations\n"); - - while (keepOn) { - ++ite; - - c05az.eval(x,y,fx,tolx,ir,c,ind,ifail); - - x = c05az.getX(); - y = c05az.getY(); - tolx = c05az.getTOLX(); - ir = c05az.getIR(); - ind = c05az.getIND(); - ifail = c05az.getIFAIL(); - if (ind == 0) { - keepOn = false; - } - else { - fx = fun(x); - System.out.printf(" X = %7.5f FX = %11.4E IND = %1d\n", x, fx, ind); - } - - } - - switch (ifail) { - case 0: - System.out.println("\n Solution\n"); - System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); - break; - case 4: - case 5: - System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); - break; - default: - System.out.printf("Unexpected error ifail=%d\n",ifail); - } - - } - - private static double fun(double x) { - double res = (Math.expm1(-x) + 1) - x; - return res; - } - -} diff --git a/simple_examples/int32/C05BBJE.java b/simple_examples/int32/C05BBJE.java deleted file mode 100644 index 4723773..0000000 --- a/simple_examples/int32/C05BBJE.java +++ /dev/null @@ -1,89 +0,0 @@ -import com.nag.routines.C05.C05BB; -import com.nag.types.NAGComplex; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C05BBJ Example program text. - * @author willa - * @since 27.1.0.0 - */ -public class C05BBJE{ - - /** - * C05BBJE main program text - */ - public static void main(String[] args){ - NAGComplex w, z; - double resid = 0; - int branch = 0, ifail = 0; //placeholder - boolean offset = false; //placeholder - - //need to initialise first - z = new NAGComplex(); - w = new NAGComplex(); - - System.out.println("C05BBJ Example Program Results"); - - if(args.length != 1){ - System.out.println("Please specify path to data file as input"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - branch = Integer.parseInt(sVal[0]); - - line = reader.readLine(); - sVal = line.split("\\s+"); - offset = Boolean.parseBoolean(sVal[0]); - - System.out.printf("Branch = %d\n", branch); - System.out.printf("Offset = %b\n", offset); - - System.out.println(); - System.out.printf("\t\tZ\t\t\tW(Z)\t\t\t\tRESID\tIFAIL\n"); - System.out.println(); - - while(true){ - line = reader.readLine(); - if(line == null){ - break; - } - sVal = line.split("\\s+"); - - z.setRe(Double.parseDouble(sVal[0])); - z.setIm(Double.parseDouble(sVal[1])); - - ifail = -1; - C05BB c05bb = new C05BB(branch, offset, z, w, resid, ifail); - c05bb.eval(); - - z = (NAGComplex) c05bb.getZ(); - w = (NAGComplex) c05bb.getW(); - resid = c05bb.getRESID(); - ifail = c05bb.getIFAIL(); - - if(ifail < 0){ - break; - } - - System.out.printf("(%.5e, %.5e)\t (%.5e, %.5e)\t %.5e\t %d\n", z.getRe(), z.getIm(), w.getRe(), w.getIm(), resid, ifail); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} diff --git a/simple_examples/int32/C05MBJE.java b/simple_examples/int32/C05MBJE.java deleted file mode 100644 index 9b46ff5..0000000 --- a/simple_examples/int32/C05MBJE.java +++ /dev/null @@ -1,95 +0,0 @@ -import com.nag.routines.C05.C05MB; -import com.nag.routines.F06.DNRM2; -import com.nag.routines.X02.X02AJ; - -/** - * C05MBJ example program text. - * - * @author joed - * @since 27.0.0.0 - * - */ -public class C05MBJE { - - private static final int n = 4; - - private static class FCN extends C05MB.Abstract_C05MB_FCN { - - public void eval() { - - FVEC[0] = Math.cos(X[2]) - X[0]; - FVEC[1] = Math.sqrt(1.0 - Math.pow(X[3],2)) - X[1]; - FVEC[2] = Math.sin(X[0]) - X[2]; - FVEC[3] = Math.pow(X[1], 2) - X[3]; - - // Set iflag negative to terminate execution for any reason - IFLAG = 0; - - return; - - } - - } - - /** - * C05MBJ example main program. - */ - public static void main(String[] args) { - - C05MB c05mb = new C05MB(); - DNRM2 dnrm2 = new DNRM2(); - X02AJ x02aj = new X02AJ(); - FCN fcn = new FCN(); - long cpuser; - double atol, cndtol, fnorm, machpr, rtol; - int astart, i, ifail, m; - double[] fvec, x; - double[] ruser = new double[1]; - int[] iuser = new int[1]; - - System.out.println("C05MBJ Example Program Results\n"); - - // Get machine precision from X02AJ - machpr = (new X02AJ()).eval(); - - fvec = new double[n]; - x = new double[n]; - - // The following starting values provide a rough solution - x = new double[]{2.0, 0.5, 2.0, 0.5}; - - m = 2; - atol = Math.sqrt(machpr); - rtol = Math.sqrt(machpr); - cndtol = 0.0; - astart = 0; - cpuser = 0; - - ifail = -1; - c05mb.eval(fcn, n, x, fvec, atol, rtol, m, cndtol, astart, iuser, ruser, - cpuser, ifail); - ifail = c05mb.getIFAIL(); - - if (ifail == 0 || ifail == 8 || ifail == 9) { - if (ifail == 0) { - // The NAG name equivalent of dnrm2 is f06ej - fnorm = dnrm2.eval(n, fvec, 1); - System.out.println(); - System.out.printf("Final 2-norm of the residuals = %12.4e\n", fnorm); - System.out.println(); - System.out.println("Final approximate solution"); - } - else { - System.out.println(); - System.out.println("Approximate solution"); - } - System.out.println(); - for (i = 1; i <= n; i++) { - System.out.printf("%12.4f", x[i-1]); - } - System.out.printf("\n"); - } - - } - -} diff --git a/simple_examples/int32/C05QBJE.java b/simple_examples/int32/C05QBJE.java deleted file mode 100644 index 4b93405..0000000 --- a/simple_examples/int32/C05QBJE.java +++ /dev/null @@ -1,167 +0,0 @@ -import com.nag.routines.C05.C05QB; -import com.nag.routines.F06.DNRM2; -import com.nag.routines.X02.X02AJ; - -/** - * C05QB example program text. - * @author ludovic - */ -public class C05QBJE { - - public static void main(String[] args) { - - C05QB c05qb = new C05QB(); - - System.out.println(" C05QBJ Example Program Results"); - - int n = 9, ifail = -1; - - double xtol, fnorm; - - int[] IUSER = new int[1]; - double[] fvec = new double[n]; - double[] x = new double[n]; - double[] RUSER = new double[1]; - - - FCN fcn = new FCN(); - - for (int i = 0; i < n; ++i) { - x[i] = -1.0; - } - xtol = Math.sqrt((new X02AJ()).eval()); - - c05qb.eval(fcn, n, x, fvec, xtol, IUSER, RUSER, ifail); - - ifail = c05qb.getIFAIL(); - - switch (ifail) { - case (0): - fnorm = (new DNRM2(n, fvec, 1)).eval(); - System.out.println(); - System.out.printf(" Final 2-norm of the residuals = %11.4E\n", fnorm); - System.out.println(); - System.out.println(" Final approximate solution"); - int count = 0; - for (int i = 0; i < n; ++i) { - System.out.printf(" %12.4f", x[i]); - ++count; - if (count == 3) { - System.out.println(); - count = 0; - } - } - break; - case (2): - case (3): - case (4): - System.out.println("Approximate solution"); - count = 0; - for (int i = 0; i < n; ++i) { - System.out.printf(" %12.4f", x[i]); - ++count; - if (count == 3) { - System.out.println(); - count = 0; - } - } - break; - } - - } - - public static class FCN implements C05QB.C05QB_FCN { - - private int N, IFLAG; - private double[] X, FVEC, RUSER; - private int[] IUSER; - - @Override - public void setN(int N) { - this.N = N; - } - - @Override - public int getN() { - return N; - } - - @Override - public void setX(double[] X) { - this.X = X; - } - - @Override - public double[] getX() { - return X; - } - - @Override - public void setFVEC(double[] FVEC) { - this.FVEC = FVEC; - } - - @Override - public double[] getFVEC() { - return FVEC; - } - - @Override - public void setIUSER(int[] IUSER) { - this.IUSER = IUSER; - } - - @Override - public int[] getIUSER() { - return IUSER; - } - - @Override - public void setRUSER(double[] RUSER) { - this.RUSER = RUSER; - } - - @Override - public double[] getRUSER() { - return RUSER; - } - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void eval(int N, double[] X, double[] FVEC, int[] IUSER, double[] RUSER, int IFLAG) { - - /* - * fvec(1:n) = (3.0_nag_wp-2.0_nag_wp*x(1:n))*x(1:n) + 1.0_nag_wp - * fvec(2:n) = fvec(2:n) - x(1:(n-1)) - * fvec(1:(n-1)) = fvec(1:(n-1)) - 2.0_nag_wp*x(2:n) - */ - for (int i = 0; i < N; ++i) { - FVEC[i] = (3.0 - 2.0 * X[i]) * X[i] + 1.0; - /*if (i >= 1) { - FVEC[i] = FVEC[i] - X[i - 1]; - } - if (i < N - 1) { - FVEC[i] = FVEC[i] - 2.0 * X[i + 1]; - }*/ - } - for (int i = 1; i < N; ++i) { - FVEC[i] = FVEC[i] - X[i - 1]; - } - for (int i = 0; i < N-1; ++i) { - FVEC[i] = FVEC[i] - 2.0 * X[i + 1]; - } - - } - - } - -} diff --git a/simple_examples/int32/C06BAJE.java b/simple_examples/int32/C06BAJE.java deleted file mode 100644 index 541d4d3..0000000 --- a/simple_examples/int32/C06BAJE.java +++ /dev/null @@ -1,56 +0,0 @@ -import com.nag.routines.C06.C06BA; -import com.nag.routines.X01.X01AA; - -/** - * C06BAJ example program text. - * @author willa - */ -public class C06BAJE{ - - public static void main(String[] args){ - int lwork = 16, nout = 6; - int ifail, ncall; - double abserr = 0.0, ans, error, pi = 0.0, r, result = 0.0, seqn, sig; - double[] work; - - C06BA c06ba = new C06BA(); - work = new double[lwork]; - - System.out.println("C06BAJ Example Program Results"); - System.out.println(); - - X01AA x01aa = new X01AA(pi); - pi = x01aa.eval(); - - ans = Math.pow(pi, 2)/12.0; - ncall = 0; - sig = 1.0; - seqn = 0.0; - System.out.println("\t\t\t Estimated\t Actual"); - System.out.println("I\t SEQN \t RESULT\t abs error\t error"); - System.out.println(); - - for(int i = 0; i < 10; i++){ - r = (double) i + 1; - seqn = seqn + sig/Math.pow(r, 2); - - ifail = 0; - c06ba.eval(seqn, ncall, result, abserr, work, lwork, ifail); - - //update variables - ncall = c06ba.getNCALL(); - result = c06ba.getRESULT(); - abserr = c06ba.getABSERR(); - - error = result - ans; - sig = -sig; - - if(i <= 2){ - System.out.printf("%d\t %.4f\t %.4f\t -\t\t %.2e\n", (i + 1), seqn, result, error); - } - else{ - System.out.printf("%d\t %.4f\t %.4f\t %.2e\t %.2e\n", (i + 1), seqn, result, abserr, error); - } - } - } -} diff --git a/simple_examples/int32/C06FKJE.java b/simple_examples/int32/C06FKJE.java deleted file mode 100644 index 58db62f..0000000 --- a/simple_examples/int32/C06FKJE.java +++ /dev/null @@ -1,91 +0,0 @@ -import com.nag.routines.C06.C06FK; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C06FKJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class C06FKJE{ - - /** - * C06FKJE main program - */ - public static void main(String[] args){ - int ifail = 0, n = 0; //placeholder - double[] work, xa, xb, ya, yb; - - work = new double[0]; - xa = new double[0]; - xb = new double[0]; - ya = new double[0]; - yb = new double[0]; //placeholders - - System.out.println("C06FKJ Example Program Results"); - System.out.println(); - - //Supply file path as argument - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //Loop until break... - while(true){ - line = reader.readLine(); - //Break when the end of the file is reached - if(line == null){ - break; - } - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[0]); - - work = new double[n]; - xa = new double[n]; - xb = new double[n]; - ya = new double[n]; - yb = new double[n]; - - for(int i = 0; i < n; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - xa[i] = Double.parseDouble(sVal[0]); - xb[i] = xa[i]; - ya[i] = Double.parseDouble(sVal[1]); - yb[i] = ya[i]; - } - - ifail = 0; - - C06FK c06fk1 = new C06FK(1, xa, ya, n, work, ifail); - c06fk1.eval(); - xa = c06fk1.getX(); - C06FK c06fk2 = new C06FK(2, xb, yb, n, work, ifail); - c06fk2.eval(); - xb = c06fk2.getX(); - - System.out.printf("\tCovolution \tCorrelation\n"); - System.out.println(); - - for(int i = 0; i < n; i++){ - System.out.printf("%d\t%.5f\t\t%.5f\n", i, xa[i], xb[i]); - } - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} diff --git a/simple_examples/int32/C09AAJE.java b/simple_examples/int32/C09AAJE.java deleted file mode 100644 index 48c38b6..0000000 --- a/simple_examples/int32/C09AAJE.java +++ /dev/null @@ -1,158 +0,0 @@ -import com.nag.routines.C09.C09AA; -import com.nag.routines.C09.C09CC; -import com.nag.routines.C09.C09CD; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C09AAJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class C09AAJE{ - - /** - * C09AAJ example main program - */ - public static void main(String[] args){ - int ifail, lenc = 0, n = 0, nf = 0, nnz, nwc = 0, nwlmax = 0, ny; //placeholders - String mode = "", wavnam = "", wtrans; //placeholders - int[] dwtlev, icomm; - double[] c, x, y; - - x = new double[0]; y = new double[0]; //placeholders - - //print error message if no data file given - if(args.length != 1){ - C09AAJE.usage(); - } - - icomm = new int[100]; - - System.out.println("C09AAJ Example Program Results"); - System.out.println(); - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[1]); - - line = reader.readLine(); - sVal = line.split("\\s+"); - wavnam = sVal[1]; - mode = sVal[2]; - - x = new double[n]; - y = new double[n]; - - System.out.printf("Parameters read from file :: \n \tWavelet : %s \tEnd mode : %s \t N = %d\n", wavnam, mode, n); - - System.out.println("Input data \tX : "); - for(int i = 0; i < n; i++){ - line = reader.readLine(); - //Avoid errors with data file format and negative numbers - line = " " + line; - sVal = line.split("\\s+"); - x[i] = Double.parseDouble(sVal[1]); - System.out.printf("%.3f\t", x[i]); - } - System.out.printf("\n"); - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - //Query wavelet filter dimensions - //For Multi-Resolution analysis ,decomposition, wrtrans = 'M' - wtrans = "Multilevel"; - - //ifail: behaviour on error exit - // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft - ifail = 0; - C09AA c09aa = new C09AA(wavnam, wtrans, mode, n, nwlmax, nf, nwc, icomm, ifail); - c09aa.eval(); - - nwc = c09aa.getNWC(); - nwlmax = c09aa.getNWLMAX(); - lenc = nwc; - c = new double[lenc]; - dwtlev = new int[nwlmax + 1]; - - icomm = c09aa.getICOMM(); - ifail = 0; - //Perform discrete wavelet transform - C09CC c09cc = new C09CC(n, x, lenc, c, nwlmax, dwtlev, icomm, ifail); - c09cc.eval(); - - nf = c09aa.getNF(); - nwlmax = c09cc.getNWL(); - dwtlev = c09cc.getDWTLEV(); - c = c09cc.getC(); - - System.out.println(); - System.out.printf("Length of wavelet filter : \t%d\n", nf); - System.out.printf("Number of Levels : \t%d\n", nwlmax); - System.out.printf("Number of coefficients in each level: \n\t\t"); - for(int i = 0; i <= nwlmax; i++){ - System.out.printf("%d\t ", dwtlev[i]); - } - System.out.printf("\n"); - System.out.printf("Total number of wavelength coefficients : %d\n", nwc); - nnz = arraySum(dwtlev); - System.out.println(); - System.out.println("Wavelet coefficients C:"); - for(int i = 0; i < nnz; i++){ - System.out.printf("%.3f ", c[i]); - } - System.out.printf("\n"); - - //Reconstruct original data - ny = n; - - ifail = 0; - lenc = c09cc.getLENC(); - icomm = c09cc.getICOMM(); - C09CD c09cd = new C09CD(nwlmax, lenc, c, ny, y, icomm, ifail); - c09cd.eval(); - - y = c09cd.getY(); - System.out.println(); - System.out.printf("Reconstruction \tY : \n"); - for(int i = 0; i < ny; i++){ - System.out.printf("%.3f ", y[i]); - } - System.out.printf("\n"); - } - - /** - * Finds the sum of all integers in an array - * @param a - * Array to sum - * @return total - */ - private static int arraySum(int[] a){ - int tot = 0; - for(int i = 0; i < a.length; i++){ - tot += a[i]; - } - return tot; - } - - /** - * No arguments supplied when exmaple runs - */ - private static void usage(){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} diff --git a/simple_examples/int32/D01BDJE.java b/simple_examples/int32/D01BDJE.java deleted file mode 100644 index 8659cc4..0000000 --- a/simple_examples/int32/D01BDJE.java +++ /dev/null @@ -1,58 +0,0 @@ -import com.nag.routines.D01.D01BD; - -/** - * D01BD example program text. - */ -public class D01BDJE { - - public static void main(String[] args) { - - double a = 0.0, b = 1.0; - double epsabs = 0.0, epsrel = 0.0001; - double result = Double.NaN; - double abserr = Double.NaN; - FUN fun = new FUN(); - D01BD d01bd = new D01BD(fun, a, b, epsabs, epsrel, result, abserr); - - d01bd.eval(); - result = d01bd.getRESULT(); - abserr = d01bd.getABSERR(); - - System.out.println(" D01BDJ Example Program Results"); - - System.out.println(); - System.out.printf(" A - lower limit of integration = %10.4f\n",a); - System.out.printf(" B - upper limit of integration = %10.4f\n",b); - System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); - System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); - System.out.println(); - System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); - System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); - System.out.println(); - - if (abserr > Math.max(epsabs,epsrel*Math.abs(result))) { - System.out.println("Warning - requested accuracy may not have been achieved"); - } - - } - - - public static class FUN implements D01BD.D01BD_F { - - private double x; - - public double eval(double x) { - return (x * x * Math.sin(10.0 * Math.PI * x)); - } - - public double getX() { - return x; - } - - public void setX(double d) { - x = d; - } - - } - -} diff --git a/simple_examples/int32/D01RJJE.java b/simple_examples/int32/D01RJJE.java deleted file mode 100644 index 9eee98a..0000000 --- a/simple_examples/int32/D01RJJE.java +++ /dev/null @@ -1,184 +0,0 @@ -import com.nag.routines.D01.D01RJ; -import com.nag.routines.X01.X01AA; -import java.util.Arrays; - -/** - * D01RJ example program text. - * @author Mo - */ -public class D01RJJE { - - public static void main(String[] args) { - - double pi = 0.0; - double a, b, epsabs, epsrel; - double result = Double.NaN; - double abserr = Double.NaN; - double[] rinfo, ruser; - int [] iinfo, iuser; - int ifail, liinfo, lrinfo, maxsub; - long cpuser; // c_ptr - F f = new F(); - - /* Header */ - System.out.println(" D01RJJ Example Program Results"); - - X01AA x01aa = new X01AA(pi); - pi = x01aa.eval(); - a = 0.0; - b = 2.0*pi; - epsabs = 0.0; - epsrel = 0.0001; - maxsub = 20; - lrinfo = 4*maxsub; - liinfo = Math.max(maxsub,4); - - rinfo = new double[lrinfo]; - iinfo = new int[liinfo]; - iuser = new int[0]; - ruser = new double[0]; - - iuser = new int[] {0}; - /* pass constant to f through ruser */ - ruser = new double[] {4.0*Math.pow(pi,2)}; - cpuser = 0L; - - D01RJ d01rj = new D01RJ(); - ifail = -1; - d01rj.eval(f, a, b, epsabs, epsrel, maxsub, result, abserr, - rinfo, iinfo, iuser, ruser, cpuser, ifail); - result = d01rj.getRESULT(); - abserr = d01rj.getABSERR(); - ifail = d01rj.getIFAIL(); - - if (ifail >= 0) { - System.out.println(); - System.out.printf(" A - lower limit of integration = %9.4f\n",a); - System.out.printf(" B - upper limit of integration = %9.4f\n",b); - System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); - System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); - System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); - System.out.println(); - if (ifail <= 5) { - System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); - System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); - System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); - System.out.println(); - } - else if (ifail == -1) { - /* User requested exit */ - System.out.printf(" Exit requested from F with IFLAG %4d\n",iuser[0]); - System.out.println(); - } - - } - - } - - public static class F implements D01RJ.D01RJ_F { - - private int NX, IFLAG; - private double[] X, FV, RUSER; - private int[] IUSER; - private long CPUSER; - - @Override - public void setX(double[] X) { - this.X = X; - } - - @Override - public double[] getX() { - return X; - } - - @Override - public void setNX(int NX) { - this.NX = NX; - } - - @Override - public int getNX() { - return NX; - } - - @Override - public void setFV(double[] FV) { - this.FV = FV; - } - - @Override - public double[] getFV() { - return FV; - } - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void setIUSER(int[] IUSER) { - this.IUSER = IUSER; - } - - @Override - public int[] getIUSER() { - return IUSER; - } - - @Override - public void setRUSER(double[] RUSER) { - this.RUSER = RUSER; - } - - @Override - public double[] getRUSER() { - return RUSER; - } - - @Override - public void setCPUSER(long CPUSER) { - this.CPUSER = CPUSER; - } - - @Override - public long getCPUSER() { - return CPUSER; - } - - @Override - public void eval(double[] X, int NX, double[] FV, int IFLAG, - int[] IUSER, double[] RUSER, long CPUSER) { - - for (int i = 0; i < NX; i++) { - FV[i] = 0.0; - } - - for (int i = 0; i < NX; i++) { - if (X[i] == 1.0) { - /* An undefined result will be generated. */ - /* Set iflag to force an immediate exit */ - IFLAG = -1; - /* Store chosen value of iflag in iuser */ - IUSER[0] = IFLAG; - } - } - if (IFLAG != -1) { - for (int j = 0; j < NX; j++) { - FV[j] = X[j] * Math.sin(30.0 * X[j])/ - Math.sqrt(1.0 - Math.pow(X[j],2)/RUSER[0]); - } - } - return; - - } - - } - -} diff --git a/simple_examples/int32/D01RKJE.java b/simple_examples/int32/D01RKJE.java deleted file mode 100644 index 20c0501..0000000 --- a/simple_examples/int32/D01RKJE.java +++ /dev/null @@ -1,173 +0,0 @@ -import com.nag.routines.D01.D01RK; -import com.nag.routines.X01.X01AA; -import java.util.Arrays; - -/** - * D01RK example program text. - * @author Mo - */ -public class D01RKJE { - - public static void main(String[] args) { - - double pi = 0.0; - double a, b, epsabs, epsrel; - double result = Double.NaN; - double abserr = Double.NaN; - double[] rinfo, ruser; - int [] iinfo, iuser; - int ifail, key, liinfo, lrinfo, maxsub; - long cpuser; // c_ptr - F f = new F(); - - /* Header */ - System.out.println(" D01RKJ Example Program Results"); - - key = 6; - X01AA x01aa = new X01AA(pi); - pi = x01aa.eval(); - a = 0.0; - b = 2.0*pi; - epsabs = 0.0; - epsrel = 0.0001; - maxsub = 20; - lrinfo = 4*maxsub; - liinfo = Math.max(maxsub,4); - - rinfo = new double[lrinfo]; - iinfo = new int[liinfo]; - iuser = new int[0]; - ruser = new double[0]; - - iuser = new int[] {0}; - ruser = new double[] {4.0*Math.pow(pi,2)}; - cpuser = 0L; - - D01RK d01rk = new D01RK(); - ifail = -1; - d01rk.eval(f, a, b, key, epsabs, epsrel, maxsub, result, abserr, - rinfo, iinfo, iuser, ruser, cpuser, ifail); - result = d01rk.getRESULT(); - abserr = d01rk.getABSERR(); - ifail = d01rk.getIFAIL(); - - if (ifail >= 0) { - System.out.println(); - System.out.printf(" A - lower limit of integration = %9.4f\n",a); - System.out.printf(" B - upper limit of integration = %9.4f\n",b); - System.out.printf(" KEY - choice of Gaussian rule = %4d\n",key); - System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); - System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); - System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); - System.out.println(); - if (ifail <= 5) { - System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); - System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); - System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); - System.out.println(); - } - else if (ifail == -1) { - /* User requested exit */ - System.out.printf(" Exit requested from F \n"); - System.out.println(); - } - - } - - } - - public static class F implements D01RK.D01RK_F { - - private int NX, IFLAG; - private double[] X, FV, RUSER; - private int[] IUSER; - private long CPUSER; - - @Override - public void setX(double[] X) { - this.X = X; - } - - @Override - public double[] getX() { - return X; - } - - @Override - public void setNX(int NX) { - this.NX = NX; - } - - @Override - public int getNX() { - return NX; - } - - @Override - public void setFV(double[] FV) { - this.FV = FV; - } - - @Override - public double[] getFV() { - return FV; - } - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void setIUSER(int[] IUSER) { - this.IUSER = IUSER; - } - - @Override - public int[] getIUSER() { - return IUSER; - } - - @Override - public void setRUSER(double[] RUSER) { - this.RUSER = RUSER; - } - - @Override - public double[] getRUSER() { - return RUSER; - } - - @Override - public void setCPUSER(long CPUSER) { - this.CPUSER = CPUSER; - } - - @Override - public long getCPUSER() { - return CPUSER; - } - - @Override - public void eval(double[] X, int NX, double[] FV, int IFLAG, - int[] IUSER, double[] RUSER, long CPUSER) { - - for (int i = 0; i < NX; i++) { - FV[i] = 0.0; - } - - for (int j = 0; j < NX; j++) { - FV[j] = X[j] * Math.sin(30.0 * X[j]) * Math.cos(X[j]); - } - return; - - } - - } - -} diff --git a/simple_examples/int32/D01RLJE.java b/simple_examples/int32/D01RLJE.java deleted file mode 100644 index c8a6d0e..0000000 --- a/simple_examples/int32/D01RLJE.java +++ /dev/null @@ -1,196 +0,0 @@ -import com.nag.routines.D01.D01RL; -import java.util.Arrays; - -/** - * D01RL example program text. - * @author Mo - */ -public class D01RLJE { - - public static void main(String[] args) { - - double a, b, epsabs, epsrel; - double result = Double.NaN; - double abserr = Double.NaN; - double[] points, rinfo, ruser; - int [] iinfo, iuser; - int ifail, liinfo, lrinfo, maxsub, npts; - long cpuser; // c_ptr - F f = new F(); - - /* Header */ - System.out.println(" D01RLJ Example Program Results"); - - epsabs = 0.0; - epsrel = 0.0001; - a = 0.0; - b = 1.0; - npts = 1; - maxsub = 20; - liinfo = 2*Math.max(maxsub,npts) + npts + 4; - lrinfo = 4*Math.max(maxsub,npts) + npts + 6; - - points = new double[npts]; - rinfo = new double[lrinfo]; - iinfo = new int[liinfo]; - iuser = new int[0]; - ruser = new double[21]; - - points[0] = 1.0/7.0; - iuser = new int[] {0}; - ruser = new double[] {0.0}; - cpuser = 0L; - - D01RL d01rl = new D01RL(); - ifail = -1; - d01rl.eval(f, a, b, npts, points, epsabs, epsrel, maxsub, result, abserr, - rinfo, iinfo, iuser, ruser, cpuser, ifail); - points = d01rl.getPOINTS(); - result = d01rl.getRESULT(); - abserr = d01rl.getABSERR(); - ifail = d01rl.getIFAIL(); - - if (ifail >= 0) { - System.out.println(); - System.out.printf(" A - lower limit of integration = %9.4f\n",a); - System.out.printf(" B - upper limit of integration = %9.4f\n",b); - System.out.printf(" POINT(1) - given break-point = %9.4f\n",points[0]); - System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); - System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); - System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); - System.out.println(); - if (ifail <= 5) { - System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); - System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); - System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); - System.out.println(); - } - else if (ifail == -1) { - /* User requested exit */ - System.out.printf(" Exit requested from F"); - System.out.println(); - } - - } - - } - - public static class F implements D01RL.D01RL_F { - - private int NX, IFLAG; - private double[] X, FV, RUSER; - private int[] IUSER; - private long CPUSER; - - @Override - public void setX(double[] X) { - this.X = X; - } - - @Override - public double[] getX() { - return X; - } - - @Override - public void setNX(int NX) { - this.NX = NX; - } - - @Override - public int getNX() { - return NX; - } - - @Override - public void setFV(double[] FV) { - this.FV = FV; - } - - @Override - public double[] getFV() { - return FV; - } - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void setIUSER(int[] IUSER) { - this.IUSER = IUSER; - } - - @Override - public int[] getIUSER() { - return IUSER; - } - - @Override - public void setRUSER(double[] RUSER) { - this.RUSER = RUSER; - } - - @Override - public double[] getRUSER() { - return RUSER; - } - - @Override - public void setCPUSER(long CPUSER) { - this.CPUSER = CPUSER; - } - - @Override - public long getCPUSER() { - return CPUSER; - } - - @Override - public void eval(double[] X, int NX, double[] FV, int IFLAG, - int[] IUSER, double[] RUSER, long CPUSER) { - - /*for (int i = 0; i < NX; i++) {*/ - /*FV[i] = 0.0;*/ - /*}*/ - - for (int i = 0; i < NX; i++) { - FV[i] = Math.abs(X[i] - 1.0/7.0); - } - - for (int i = 0; i < NX; i++) { - if (FV[i] == 0.0) { - /* A singular point will be hit. */ - /* Record offending abscissae and abort computation. */ - IFLAG = 0; - for (int k = 0; k < NX; k++) { - if (FV[k] == 0.0) { - IFLAG = IFLAG + 1; - RUSER[IFLAG-1] = X[k]; - } - } - /* Store value of iflag in iuser */ - IUSER[0] = IFLAG; - /* signal abort by setting iflag<0 */ - IFLAG = -IFLAG; - } - } - if (IFLAG == 0) { - /* Safe to evaluate. */ - for (int j = 0; j < NX; j++) { - FV[j] = 1.0/Math.sqrt(FV[j]); - } - } - return; - - } - - } - -} diff --git a/simple_examples/int32/D01RMJE.java b/simple_examples/int32/D01RMJE.java deleted file mode 100644 index 6e80b2b..0000000 --- a/simple_examples/int32/D01RMJE.java +++ /dev/null @@ -1,163 +0,0 @@ -import com.nag.routines.D01.D01RM; -import java.util.Arrays; - -/** - * D01RM example program text. - * @author Mo - */ -public class D01RMJE { - - public static void main(String[] args) { - - double bound, epsabs, epsrel; - double result = Double.NaN; - double abserr = Double.NaN; - double[] rinfo, ruser; - int [] iinfo, iuser; - int ifail, inf, liinfo, lrinfo, maxsub; - long cpuser; // c_ptr - F f = new F(); - - /* Header */ - System.out.println(" D01RMJ Example Program Results"); - - bound = 0.0; - inf = 1; - epsabs = 0.0; - epsrel = 0.0001; - maxsub = 20; - lrinfo = 4*maxsub; - liinfo = Math.max(maxsub,4); - - rinfo = new double[lrinfo]; - iinfo = new int[liinfo]; - iuser = new int[0]; - ruser = new double[0]; - - iuser = new int[] {0}; - ruser = new double[] {0.0}; - cpuser = 0L; - - D01RM d01rm = new D01RM(); - ifail = -1; - d01rm.eval(f, bound, inf, epsabs, epsrel, maxsub, result, abserr, - rinfo, iinfo, iuser, ruser, cpuser, ifail); - result = d01rm.getRESULT(); - abserr = d01rm.getABSERR(); - ifail = d01rm.getIFAIL(); - - if (ifail >= 0) { - System.out.println(); - System.out.printf(" A - lower limit of integration = %9.4f\n",bound); - System.out.println(" B - upper limit of integration = infinity\n"); - System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); - System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); - System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); - System.out.println(); - if (ifail <= 5) { - System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); - System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); - System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); - System.out.println(); - } - else if (ifail == -1) { - /* User requested exit */ - System.out.printf(" Exit requested from F \n"); - System.out.println(); - } - - } - - } - - public static class F implements D01RM.D01RM_F { - - private int NX, IFLAG; - private double[] X, FV, RUSER; - private int[] IUSER; - private long CPUSER; - - @Override - public void setX(double[] X) { - this.X = X; - } - - @Override - public double[] getX() { - return X; - } - - @Override - public void setNX(int NX) { - this.NX = NX; - } - - @Override - public int getNX() { - return NX; - } - - @Override - public void setFV(double[] FV) { - this.FV = FV; - } - - @Override - public double[] getFV() { - return FV; - } - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void setIUSER(int[] IUSER) { - this.IUSER = IUSER; - } - - @Override - public int[] getIUSER() { - return IUSER; - } - - @Override - public void setRUSER(double[] RUSER) { - this.RUSER = RUSER; - } - - @Override - public double[] getRUSER() { - return RUSER; - } - - @Override - public void setCPUSER(long CPUSER) { - this.CPUSER = CPUSER; - } - - @Override - public long getCPUSER() { - return CPUSER; - } - - @Override - public void eval(double[] X, int NX, double[] FV, int IFLAG, - int[] IUSER, double[] RUSER, long CPUSER) { - - for (int j = 0; j < NX; j++) { - FV[j] = 1.0/((X[j] + 1.0) * Math.sqrt(X[j])); - } - return; - - } - - } - -} diff --git a/simple_examples/int32/D01TCJE.java b/simple_examples/int32/D01TCJE.java deleted file mode 100644 index cde8428..0000000 --- a/simple_examples/int32/D01TCJE.java +++ /dev/null @@ -1,45 +0,0 @@ -import com.nag.routines.D01.D01TC; -import java.util.Arrays; - -/** - * D01TC example program text. - * @author Mo - */ -public class D01TCJE { - - public static void main(String[] args) { - - double a, b, c, d; - double[] abscis, weight; - int n, ifail, itype; - - /* Header */ - System.out.println(" D01TCJ Example Program Results"); - - n = 7; - a = 0.0; - b = 1.0; - c = 0.0; - d = 0.0; - itype = -3; - - abscis = new double[n]; - weight = new double[n]; - - D01TC d01tc = new D01TC(); - ifail = 0; - d01tc.eval(itype, a, b, c, d, n, weight, abscis, ifail); - abscis= d01tc.getABSCIS(); - weight = d01tc.getWEIGHT(); - - System.out.println(); - System.out.printf(" Laguerre formula, %2d points\n",n); - System.out.println(); - System.out.println(" Abscissae Weights\n"); - for (int j = 0; j < n; j++) { - System.out.printf("%15.5E %15.5E\n", abscis[j], weight[j]); - } - - } - -} diff --git a/simple_examples/int32/D02NEJE.java b/simple_examples/int32/D02NEJE.java deleted file mode 100644 index 34a5b25..0000000 --- a/simple_examples/int32/D02NEJE.java +++ /dev/null @@ -1,388 +0,0 @@ -import com.nag.routines.D02.D02MC; -import com.nag.routines.D02.D02MW; -import com.nag.routines.D02.D02NE; -import com.nag.routines.D02.D02NEZ; -import com.nag.routines.D02.D02NP; -import java.util.Arrays; - -/** - * D02NE example program text. - * @author joed - */ -public class D02NEJE { - - public static final double ALPHA = 0.04; - public static final double BETA = 1.0E4; - public static final double GAMMA = 3.0E7; - public static final int ML = 1; - public static final int MU = 2; - public static final int NEQ1 = 3; - public static final int NEQ2 = 1; - - public static JAC1 jac1 = new JAC1(); - public static JAC2 jac2 = new JAC2(); - public static RES1 res1 = new RES1(); - public static RES2 res2 = new RES2(); - - public static void main(String[] args) { - - System.out.println(" D02NEJ Example Program Results"); - - ex1(); - ex2(); - - } - - private static void ex1() { - - D02MC d02mc = new D02MC(); - D02MW d02mw = new D02MW(); - D02NE d02ne = new D02NE(); - D02NP d02np = new D02NP(); - double h0, hmax, t, tout; - int ifail, ijac, itask, itol, lcom, licom, maxord, neq; - String jceval; // length 8 - double[] atol, com, rtol, y, ydot, ruser; - int[] icom, iuser; - - ruser = new double[1]; - iuser = new int[3]; - - System.out.println(); - System.out.println(" D02NEF Example 1"); - System.out.println(); - - maxord = 5; - - neq = NEQ1; - lcom = 40 + (maxord + 4) * neq + (2 * ML + MU + 1) * neq - + 2 * (neq / (ML + MU + 1) + 1); - licom = 50 + neq; - - atol = new double[neq]; - com = new double[lcom]; - rtol = new double[neq]; - y = new double[neq]; - ydot = new double[neq]; - icom = new int[licom]; - - ijac = 1; - itol = 1; - Arrays.fill(rtol, 1.0E-3); - Arrays.fill(atol, 1.0E-6); - Arrays.fill(ydot, 0.0); - - // String length = 8 - jceval = (ijac == 1) ? "Analytic" : "Numeric "; - - // Set initial values - y[0] = 1.0; - y[1] = 0.0; - y[2] = 0.0; - - // Initialize the problem, specifying that the Jacobian is to be - // evaluated analytically using the provided routine jac. - hmax = 0.0; - h0 = 0.0; - t = 0.0; - tout = 0.02; - ifail = 0; - d02mw.eval( - neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail - ); - ifail = d02mw.getIFAIL(); - - // Specify that the Jacobian is banded. - ifail = 0; - d02np.eval(neq, ML, MU, icom, licom, ifail); - ifail = d02np.getIFAIL(); - - // Use the iuser array to pass the band dimensions through to jac. - // An alternative would be to hard code values for ml and mu in jac. - iuser[0] = ML; - iuser[1] = MU; - iuser[2] = ijac; - - System.out.printf(" t "); - for (int i = 1; i <= neq; i++) { - System.out.printf(" Y(%1d) ", i); - } - System.out.println(); - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - itask = 0; - - // Obtain the solution at 5 equally spaced values of T. - for (int j = 0; j < 5; j++) { - ifail = -1; - d02ne.eval( - neq, t, tout, y, ydot, rtol, atol, itask, res1, jac1, icom, - com, lcom, iuser, ruser, ifail - ); - itask = d02ne.getITASK(); - ifail = d02ne.getIFAIL(); - t = d02ne.getT(); - - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - if (ifail != 0) { - System.out.printf( - " ** D02NEF returned with IFAIL = %5d\n", ifail - ); - break; - } - - tout += 0.02; - d02mc.eval(icom); - - } - - System.out.println(); - System.out.printf( - " The integrator completed task, ITASK = %4d\n", itask - ); - - } - - private static void ex2() { - D02MC d02mc = new D02MC(); - D02MW d02mw = new D02MW(); - D02NE d02ne = new D02NE(); - double h0, hmax, t, tout; - int ifail, ijac, itask, itol, lcom, licom, maxord, neq; - String jceval; // length 8 - double[] atol, com, rtol, y, ydot, ruser; - int[] icom, iuser; - - ruser = new double[1]; - iuser = new int[1]; - - System.out.println(); - System.out.println(" D02NEF Example 2"); - System.out.println(); - - maxord = 5; - neq = NEQ2; - lcom = 40 + (maxord + 4) * neq + neq * neq; - licom = 50 + neq; - - atol = new double[neq]; - com = new double[lcom]; - rtol = new double[neq]; - y = new double[neq]; - ydot = new double[neq]; - icom = new int[licom]; - - ijac = 1; - itol = 1; - rtol[0] = 0.0; - atol[0] = 1.0E-8; - ydot[0] = 0.0; - - // String length = 8 - jceval = (ijac == 1) ? "Analytic" : "Numeric "; - - // Initialize the problem, specifying that the Jacobian is to be - // evaluated analytically using the provided routine jac. - y[0] = 2.0; - hmax = 0.0; - h0 = 0.0; - t = 0.0; - tout = 0.2; - - ifail = 0; - d02mw.eval( - neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail - ); - ifail = d02mw.getIFAIL(); - - // Use the iuser array to pass whether numerical or analytic Jacobian - // is to be used. - iuser[0] = ijac; - - System.out.printf(" t "); - for (int i = 1; i <= neq; i++) { - System.out.printf(" y(%1d) ", i); - } - System.out.println(); - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - itask = 0; - - for (int j = 0; j < 5; j++) { - ifail = -1; - d02ne.eval( - neq, t, tout, y, ydot, rtol, atol, itask, res2, jac2, icom, - com, lcom, iuser, ruser, ifail - ); - itask = d02ne.getITASK(); - ifail = d02ne.getIFAIL(); - t = d02ne.getT(); - - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - if (ifail != 0) { - System.out.printf( - " ** D02NEF returned with IFAIL = %5d\n", ifail - ); - break; - } - - tout += 0.2; - d02mc.eval(icom); - - } - - System.out.println(); - System.out.printf( - " The integrator completed task, ITASK = %4d\n", itask - ); - - } - - /** - * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based - * Java index. - * - *

    Fortran array definition: - * a(dimX, *) - * - *

    Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return ((y-1) * dimX) + (x-1); - } - - public static class RES1 extends D02NE.Abstract_D02NE_RES { - - public void eval() { - - this.R[0] = -(ALPHA * this.Y[0]) + (BETA * this.Y[1] * this.Y[2]) - - this.YDOT[0]; - this.R[1] = (ALPHA * this.Y[0]) - (BETA * this.Y[1] * this.Y[2]) - - (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[1]; - this.R[2] = (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[2]; - - } - - } - - public static class JAC1 extends D02NE.Abstract_D02NE_JAC { - - private double[] myjac1( - int neq, int ml, int mu, double t, double[] y, double[] ydot, - double[] pd, double cj - ) { - - int md, ms, pdDim1; - - pdDim1 = (2 * ml) + mu + 1; - - // Main diagonal pdfull(i,i), i=1, neq - md = mu + ml + 1; - pd[getIdx(md, 1, pdDim1)] = -ALPHA - cj; - pd[getIdx(md, 2, pdDim1)] = (-BETA * y[2]) - (2.0 * GAMMA * y[1]) - - cj; - pd[getIdx(md, 3, pdDim1)] = -cj; - - // 1 subdiagonal pdfull(i-1,i), i=2, neq - ms = md + 1; - pd[getIdx(ms, 1, pdDim1)] = ALPHA; - pd[getIdx(ms, 2, pdDim1)] = 2.0 * GAMMA * y[1]; - - // First superdiagonal pdfull(i-1,i), i=2, neq - ms = md - 1; - pd[getIdx(ms, 2, pdDim1)] = BETA * y[2]; - pd[getIdx(ms, 3, pdDim1)] = -BETA * y[1]; - - // Second superdiagonal pdfull(i-2,i), i=3, neq - ms = md - 2; - pd[getIdx(ms, 3, pdDim1)] = BETA * y[1]; - - return pd; - - } - - public void eval() { - D02NEZ d02nez = new D02NEZ(); - int ijac, ml, mu; - - ml = this.IUSER[0]; - mu = this.IUSER[1]; - ijac = this.IUSER[2]; - - if (ijac == 1) { - myjac1( - this.NEQ, ml, mu, this.T, this.Y, this.YDOT, this.PD, - this.CJ - ); - } - else { - d02nez.eval( - this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, - this.IUSER, this.RUSER - ); - } - - } - - } - - public static class RES2 extends D02NE.Abstract_D02NE_RES { - - public void eval() { - this.R[0] = 4.0 - Math.pow(this.Y[0], 2.0) - + (this.T * 0.1E0 * Math.exp(this.Y[0])); - } - - } - - public static class JAC2 extends D02NE.Abstract_D02NE_JAC { - - private void myjac2( - int neq, double t, double[] y, double[] ydot, double[] pd, - double cj - ) { - - pd[0] = -(2.0 * y[0]) + (0.1E0 * t * y[0] * Math.exp(y[0])); - - } - - public void eval() { - D02NEZ d02nez = new D02NEZ(); - int ijac; - - ijac = this.IUSER[0]; - - if (ijac == 1) { - myjac2(this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ); - } - else { - d02nez.eval( - this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, - this.IUSER, this.RUSER - ); - } - - } - - } - -} diff --git a/simple_examples/int32/D02TLJE.java b/simple_examples/int32/D02TLJE.java deleted file mode 100644 index 601b3ce..0000000 --- a/simple_examples/int32/D02TLJE.java +++ /dev/null @@ -1,290 +0,0 @@ -import com.nag.routines.D02.D02TL; -import com.nag.routines.D02.D02TV; -import com.nag.routines.D02.D02TX; -import com.nag.routines.D02.D02TY; -import com.nag.routines.D02.D02TZ; -import java.util.Arrays; - -/** - * D02TL example program text. - * @author joed - */ -public class D02TLJE { - - public static final int MMAX = 3, NEQ = 3, NLBC = 3, NRBC = 3; - - public static double omega, sqrofr; - public static int[] m = {1, 3, 2}; - - public static FFUN ffun = new FFUN(); - public static FJAC fjac = new FJAC(); - public static GAFUN gafun = new GAFUN(); - public static GAJAC gajac = new GAJAC(); - public static GBFUN gbfun = new GBFUN(); - public static GBJAC gbjac = new GBJAC(); - public static GUESS guess = new GUESS(); - - public static void main(String[] args) { - - D02TL d02tl = new D02TL(); - D02TV d02tv = new D02TV(); - D02TX d02tx = new D02TX(); - D02TY d02ty = new D02TY(); - D02TZ d02tz = new D02TZ(); - double dx, ermx, r; - int iermx, ifail, ijermx, licomm, lrcomm, mxmesh, ncol, ncont, - nmesh; - double[] mesh, rcomm, tol, y, ruser = new double[1]; - int[] icomm, ipmesh, iuser = new int[2]; - - System.out.println(" D02TLJ Example Program Results"); - System.out.println(); - - ncol = 7; - nmesh = 11; - mxmesh = 51; - - mesh = new double[mxmesh]; - tol = new double[NEQ]; - y = new double[NEQ * MMAX]; - ipmesh = new int[mxmesh]; - - omega = 1.0; - Arrays.fill(tol, 1.0E-4); - - dx = 1.0 / ((double) nmesh - 1); - - mesh[0] = 0.0; - for (int i = 1; i < nmesh - 1; i++) { - mesh[i] = mesh[i - 1] + dx; - } - mesh[nmesh - 1] = 1.0; - - ipmesh[0] = 1; - Arrays.fill(ipmesh, 1, nmesh - 1, 2); - ipmesh[nmesh - 1] = 1; - - // Workspace query to get size of rcomm and icomm - ifail = 0; - d02tv.eval( - NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, ruser, - 0, iuser, 2, ifail - ); - ifail = d02tv.getIFAIL(); - lrcomm = iuser[0]; - licomm = iuser[1]; - rcomm = new double[lrcomm]; - icomm = new int[licomm]; - - // Initialise integrator for given problem - ifail = 0; - d02tv.eval( - NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, rcomm, - lrcomm, icomm, licomm, ifail - ); - ifail = d02tv.getIFAIL(); - - ncont = 3; - r = 1.0E6; - - sqrofr = Math.sqrt(r); - - ermx = 0.0; - iermx = 0; - ijermx = 0; - - for (int j = 0; j < ncont; j++) { - System.out.printf("\n Tolerance = %8.1E R = %10.3E\n", tol[0], r); - - // Solve problem - ifail = -1; - d02tl.eval( - ffun, fjac, gafun, gbfun, gajac, gbjac, guess, rcomm, icomm, - iuser, ruser, ifail - ); - ifail = d02tl.getIFAIL(); - if (ifail != 0) { - System.err.println("D02TL failed with error code " + ifail); - } - - // Extract mesh - ifail = -1; - d02tz.eval( - mxmesh, nmesh, mesh, ipmesh, ermx, iermx, ijermx, rcomm, icomm, - ifail - ); - nmesh = d02tz.getNMESH(); - iermx = d02tz.getIERMX(); - ijermx = d02tz.getIJERMX(); - ermx = d02tz.getERMX(); - ifail = d02tz.getIFAIL(); - if (ifail == 1) { - break; - } - - // Print mesh, error stats - System.out.printf( - "\n" - + " Used a mesh of %4d points\n" - + " Maximum error = %10.2E in interval %4d for component %4d\n" - + "\n", - nmesh, ermx, iermx, ijermx - ); - System.out.printf("\n Mesh points:\n"); - for (int i = 0; i < nmesh; i++) { - System.out.printf("%4d(%1d)%10.3E", i+1, ipmesh[i], mesh[i]); - if ((i+1) % 4 == 0) { - System.out.printf("\n"); - } - } - System.out.printf("\n"); - - // Print solution components on mesh - System.out.printf("\n x f f\' g\n"); - for (int i = 0; i < nmesh; i++) { - ifail = 0; - d02ty.eval(mesh[i], y, NEQ, MMAX, rcomm, icomm, ifail); - ifail = d02ty.getIFAIL(); - System.out.printf( - " %8.3f %9.4f%9.4f%9.4f\n", mesh[i], y[getIdx(1, 0, NEQ)], - y[getIdx(2, 0, NEQ)], y[getIdx(3, 0, NEQ)] - ); - } - - if (j == ncont - 1) { - break; - } - - // Modify continuation parameter - r = 100.0 * r; - sqrofr = Math.sqrt(r); - - // Select mesh for continuation - Arrays.fill(ipmesh, 1, nmesh - 1, 2); - - // Call continuation primer routine - ifail = 0; - d02tx.eval(mxmesh, nmesh, mesh, ipmesh, rcomm, icomm, ifail); - mxmesh = d02tx.getMXMESH(); - nmesh = d02tx.getNMESH(); - ifail = d02tx.getIFAIL(); - - } - - } - - /** - * Converts a 2D Fortran index to the 1D index for its corresponding Java - * array. Assumes y is already zero-based. - * - *

    Fortran array definition: - * a(dimX, 0:*) - * - *

    Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return (y * dimX) + (x-1); - } - - /** - * Converts a 3D Fortran index to the 1D index for its corresponding Java - * array. Assumes z is already zero-based. - * - *

    Fortran array definition: - * a(dimX, dimY, 0:*) - * - *

    Conversion: - * a(x, y, z) --> A[result] - */ - private static int getIdx(int x, int y, int z, int dimX, int dimY) { - return (z * dimY * dimX) + ((y-1) * dimX) + (x-1); - } - - public static class FFUN extends D02TL.Abstract_D02TL_FFUN { - - public void eval() { - F[0] = Y[getIdx(2, 0, NEQ)]; - F[1] = -((Y[getIdx(1, 0, NEQ)] * Y[getIdx(2, 2, NEQ)]) - + (Y[getIdx(3, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; - F[2] = ((Y[getIdx(2, 0, NEQ)] * Y[getIdx(3, 0, NEQ)]) - - (Y[getIdx(1, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; - } - - } - - public static class FJAC extends D02TL.Abstract_D02TL_FJAC { - - public void eval() { - DFDY[getIdx(1, 2, 0, NEQ, NEQ)] = 1.0; - DFDY[getIdx(2, 1, 0, NEQ, NEQ)] = -Y[getIdx(2, 2, NEQ)] * sqrofr; - DFDY[getIdx(2, 2, 2, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; - DFDY[getIdx(2, 3, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; - DFDY[getIdx(2, 3, 1, NEQ, NEQ)] = -Y[getIdx(3, 0, NEQ)] * sqrofr; - DFDY[getIdx(3, 1, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; - DFDY[getIdx(3, 2, 0, NEQ, NEQ)] = Y[getIdx(3, 0, NEQ)] * sqrofr; - DFDY[getIdx(3, 3, 0, NEQ, NEQ)] = Y[getIdx(2, 0, NEQ)] * sqrofr; - DFDY[getIdx(3, 3, 1, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; - } - - } - - public static class GAFUN extends D02TL.Abstract_D02TL_GAFUN { - - public void eval() { - GA[0] = YA[getIdx(1, 0, NEQ)]; - GA[1] = YA[getIdx(2, 0, NEQ)]; - GA[2] = YA[getIdx(3, 0, NEQ)] - omega; - } - - } - - public static class GBFUN extends D02TL.Abstract_D02TL_GBFUN { - - public void eval() { - GB[0] = YB[getIdx(1, 0, NEQ)]; - GB[1] = YB[getIdx(2, 0, NEQ)]; - GB[2] = YB[getIdx(3, 0, NEQ)] + omega; - } - - } - - public static class GAJAC extends D02TL.Abstract_D02TL_GAJAC { - - public void eval() { - DGADY[getIdx(1, 1, 0, NLBC, NEQ)] = 1.0; - DGADY[getIdx(2, 2, 0, NLBC, NEQ)] = 1.0; - DGADY[getIdx(3, 3, 0, NLBC, NEQ)] = 1.0; - } - - } - - public static class GBJAC extends D02TL.Abstract_D02TL_GBJAC { - - public void eval() { - DGBDY[getIdx(1, 1, 0, NRBC, NEQ)] = 1.0; - DGBDY[getIdx(2, 2, 0, NRBC, NEQ)] = 1.0; - DGBDY[getIdx(3, 3, 0, NRBC, NEQ)] = 1.0; - } - - } - - public static class GUESS extends D02TL.Abstract_D02TL_GUESS { - - public void eval() { - Y[getIdx(1, 0, NEQ)] = -(X - 0.5) * Math.pow(X * (X - 1.0), 2.0); - Y[getIdx(2, 0, NEQ)] = -X * (X - 1.0) - * (5.0 * X * (X - 1.0) + 1.0); - Y[getIdx(2, 1, NEQ)] = -(2.0 * X - 1.0) - * (10.0 * X * (X - 1.0) + 1.0); - Y[getIdx(2, 2, NEQ)] = -12.0 * (5.0 * X * (X - 1.0) + 1.0); - Y[getIdx(3, 0, NEQ)] = -8.0 * omega * Math.pow(X - 0.5, 3.0); - Y[getIdx(3, 1, NEQ)] = -24.0 * omega * Math.pow(X - 0.5, 2.0); - DYM[0] = Y[getIdx(2, 0, NEQ)]; - DYM[1] = -120.0 * (X - 0.5); - DYM[2] = -56.0 * omega * (X - 0.5); - } - - } - -} diff --git a/simple_examples/int32/D03PCJE.java b/simple_examples/int32/D03PCJE.java deleted file mode 100644 index 4901e2e..0000000 --- a/simple_examples/int32/D03PCJE.java +++ /dev/null @@ -1,217 +0,0 @@ -import com.nag.routines.D03.D03PC; -import com.nag.routines.D03.D03PZ; -import com.nag.routines.X01.X01AA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.lang.StringBuilder; - -/** - * D03PCJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class D03PCJE{ - - /** - * D03PCJE main program - */ - public static void main(String[] args){ - int ifail, ind, intpts = 0, it, itask, itrace = 0, itype = 0, lisave, lrsave, m = 0, neqn, npts = 0, nwk, npde = 2; - double hx, pi, piby2, tout = 0, ts = 0, acc = 0, alpha = 0; - int[] isave, iuser, iwsav; - double[] rsave, u, uout, x, xout, ruser, rwsav; - boolean[] lwsav; - String[] cwsav; - - xout = new double[0]; // placeholders - ruser = new double[1]; - rwsav = new double[1100]; - iuser = new int[1]; - iwsav = new int[505]; - lwsav = new boolean[100]; - cwsav = new String[10]; - - System.out.println("D03PCJ Example Program Results"); - - //Specify path to data file - if(args.length != 1){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - intpts = Integer.parseInt(sVal[0]); - npts = Integer.parseInt(sVal[1]); - itype = Integer.parseInt(sVal[2]); - - xout = new double[intpts]; - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int i = 0; i < intpts; i++){ - xout[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.split("\\s+"); - acc = Double.parseDouble(sVal[0]); - alpha = Double.parseDouble(sVal[1]); - - line = reader.readLine(); - sVal = line.split("\\s+"); - m = Integer.parseInt(sVal[0]); - itrace = Integer.parseInt(sVal[1]); - - line = reader.readLine(); - sVal = line.split("\\s+"); - ts = Double.parseDouble(sVal[0]); - tout = Double.parseDouble(sVal[1]); - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - neqn = npde * npts; - lisave = neqn + 24; - nwk = (10 + (6 * npde)) * neqn; - lrsave = nwk + ((21 + (3 * npde)) * npde) + (7 * npts) + 54; - - rsave = new double[lrsave]; - u = new double[npde * npts]; - uout = new double[npde * intpts * itype]; - x = new double[npts]; - isave = new int[lisave]; - ruser[0] = alpha; - ind = 0; - itask = 1; - - X01AA x01aa = new X01AA(); - pi = x01aa.eval(); - piby2 = 0.5 * pi; - hx = piby2/(double)(npts - 1); - x[0] = 0.0; - x[npts - 1] = 1.0; - for(int i = 1; i < (npts - 1); i++){ - x[i] = Math.sin(hx * (double)(i)); - } - - u = uinit(x, npts, iuser, ruser); - - //Character (80) :: cwsav(10) - //Surely a better way of doing this? - for(int i = 0; i < 10; i++){ - StringBuilder builder = new StringBuilder(""); - for(int j = 0; j < 80; j++){ - builder.append(" "); - } - cwsav[i] = builder.toString(); - } - - for(int i = 0; i <5; i++){ - tout = 10 * tout; - - ifail = 0; - pdedef pdedef1 = new pdedef(); - bndary bndary1 = new bndary(); - D03PC d03pc = new D03PC(npde, m, ts, tout, pdedef1, bndary1, u, npts, x, acc, rsave, lrsave, - isave, lisave, itask, itrace, ind, iuser, ruser, cwsav, lwsav, iwsav, - rwsav, ifail); - d03pc.eval(); - - //update ind - ind = d03pc.getIND(); - - if(i == 0){ - System.out.printf("Accuracy requirement = \t%.5e\n Parameter ALPHA = \t%.3e\n", acc, alpha); - System.out.printf("T / X "); - for(int j = 0; j < xout.length; j++){ - System.out.printf("\t%.4f", xout[j]); - } - System.out.printf("\n"); - } - System.out.println(); - - //Interpolate at required spatial points - ifail = 0; - - D03PZ d03pz = new D03PZ(npde, m, u, npts, x, xout, intpts, itype, uout, ifail); - d03pz.eval(); - - System.out.printf("%.4f \tU(1)", tout); - for(int j = 0; j < intpts; j++){ - System.out.printf("\t%.4f ", uout[j * 2]); - } - System.out.printf("\n"); - System.out.printf("\tU(2)"); - for(int j = 0; j < intpts; j++){ - System.out.printf("\t%.4f ", uout[j * 2 + 1]); - } - System.out.printf("\n"); - System.out.println(); - } - - System.out.printf("Number of Integration steps in time\t\t\t%d\n", isave[0]); - System.out.printf("Number of residual evaluations of resulting ODE system\t%d\n", isave[1]); - System.out.printf("Number of Jacobian evaluations\t\t\t\t%d\n", isave[2]); - System.out.printf("Number of iterations of nonlinear solver\t\t%d\n", isave[4]); - } - - /** - * PDE initial condition - */ - public static double[] uinit(double[] x, int npts, int[] iuser, double[] ruser){ - double alpha = ruser[0]; - double[] u = new double[2 * npts]; - for(int i = 0; i < npts; i++){ - u[2 * i] = 2 * alpha * x[i]; - u[(2 * i) + 1] = 1; - } - return u; - } - - public static class pdedef extends D03PC.Abstract_D03PC_PDEDEF{ - public void eval(){ - double alpha = this.RUSER[0]; - this.Q[0] = 4 * alpha * (this.U[1] + (this.X * this.UX[1])); - this.Q[1] = 0; - this.R[0] = this.X * this.UX[0]; - this.R[1] = this.UX[1] - (this.U[0] * this.U[1]); - this.P[0] = 0; - this.P[1] = 0; - this.P[2] = 0; - this.P[3] = 1 - (this.X * this.X); - } - } - - public static class bndary extends D03PC.Abstract_D03PC_BNDARY{ - public void eval(){ - if(this.IBND == 0){ - this.BETA[0] = 0; - this.BETA[1] = 1; - this.GAMMA[0] = this.U[0]; - this.GAMMA[1] = -this.U[0] * this.U[1]; - } - else{ - this.BETA[0] = 1; - this.BETA[1] = 0; - this.GAMMA[0] = -this.U[0]; - this.GAMMA[1] = this.U[1]; - } - } - } - -} - - - diff --git a/simple_examples/int32/D03RAJE.java b/simple_examples/int32/D03RAJE.java deleted file mode 100644 index 88d49aa..0000000 --- a/simple_examples/int32/D03RAJE.java +++ /dev/null @@ -1,307 +0,0 @@ -import com.nag.routines.D03.D03RA; -import com.nag.routines.D03.D03RA.D03RA_BNDARY; -import com.nag.routines.D03.D03RA.D03RA_MONITR; -import com.nag.routines.X01.X01AA; -import com.nag.routines.X02.X02AJ; -import java.util.Arrays; - -/** - * D03RA example program text. - * @author joed - */ -public class D03RAJE { - - public static final double ALPHA = 50.0; - public static final double BETA = 300.0; - public static final double XMAX = 1.0; - public static final double XMIN = 0.0; - public static final double YMAX = 1.0; - public static final double YMIN = 0.0; - public static final int ITRACE = 0; - public static final int NPDE = 1; - - public static D03RA d03ra = new D03RA(); - public static PDEDEF pdedef = new PDEDEF(); - public static BNDRY bndry = new BNDRY(); - public static PDEIV pdeiv = new PDEIV(); - public static MONIT monit = new MONIT(); - public static MONITDUMMY monitDummy = new MONITDUMMY(); - - public static void main(String[] args) { - double tols, tolt, tout, ts; - int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, npde, npts, nx, ny; - double[] dt, twant, optr, rwk; - int[] wklens, iwk, opti = new int[4]; - boolean[] lwk; - - // Run examples - System.out.println(" D03RAJ Example Program Results"); - System.out.println(); - - npts = 2000; - npde = NPDE; - - dt = new double[] {0.1e-2, 0.0, 0.0}; - twant = new double[] {0.24, 0.25}; - ts = 0.0; - - ind = 10; - nx = 41; - ny = 41; - tols = 0.5; - tolt = 0.01; - Arrays.fill(opti, 0); - opti[0] = 6; - maxlev = Math.max(opti[0], 3); - - wklens = computeWkspaceLens(maxlev, npde, npts); - lenrwk = wklens[0]; - leniwk = wklens[1]; - lenlwk = wklens[2]; - rwk = new double[lenrwk]; - iwk = new int[leniwk]; - lwk = new boolean[lenlwk]; - - optr = new double[3 * npde]; - Arrays.fill(optr, 1.0); - - for (int i = 0; i < 2; i++) { - tout = twant[i]; - ifail = 0; - if (i == 0) { - // Dummy monitor used to avoid output on first call - d03ra.eval( - npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, - tolt, pdedef, bndry, pdeiv, monitDummy, opti, optr, - rwk, lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail - ); - } - else { - d03ra.eval( - npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, - tolt, pdedef, bndry, pdeiv, monit, opti, optr, rwk, - lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail - ); - } - - ind = d03ra.getIND(); - ifail = d03ra.getIFAIL(); - ts = d03ra.getTS(); - - printStatistics(ts, iwk, maxlev); - - } - - } - - public static class PDEIV extends D03RA.Abstract_D03RA_PDEIV { - - public void eval() { - Arrays.fill(this.U, 1.0); - } - - } - - public static class PDEDEF extends D03RA.Abstract_D03RA_PDEDEF { - - private static final double ACTIV_ENERGY = 20.0; - private static final double DIFFUSION = 0.1; - private static final double HEAT_RELEASE = 1.0; - private static final double REACTION_RATE = 5.0; - - public void eval() { - - double damkohler; - - damkohler = REACTION_RATE * Math.exp(ACTIV_ENERGY) - / (HEAT_RELEASE * ACTIV_ENERGY); - - for (int col = 0; col < this.NPDE; col++) { - for (int row = 0; row < this.NPTS; row++) { - int idx = (col * this.NPTS) + row; - this.RES[idx] = this.UT[idx] - - (DIFFUSION * (this.UXX[idx] + this.UYY[idx])) - - (damkohler - * (1.0e0 + HEAT_RELEASE - this.U[idx]) - * Math.exp(-ACTIV_ENERGY / this.U[idx])); - } - } - - } - - } - - public static class BNDRY extends D03RA.Abstract_D03RA_BNDARY { - - public void eval() { - X02AJ x02aj = new X02AJ(); - double tol; - - // X02AJ returns machine precision - tol = 10.0 * x02aj.eval(); - - for (int i = 0; i < this.NBPTS; i++) { - int j = this.LBND[i] - 1; - - if (Math.abs(this.X[j]) <= tol) { - for (int col = 0; col < this.NPDE; col++) { - int idx = (col * this.NPTS) + j; - this.RES[idx] = this.UX[idx]; - } - } - else if (Math.abs(this.X[j] - 1.0) <= tol) { - for (int col = 0; col < this.NPDE; col++) { - int idx = (col * this.NPTS) + j; - this.RES[idx] = this.U[idx] - 1.0; - } - } - else if (Math.abs(this.Y[j]) <= tol) { - for (int col = 0; col < this.NPDE; col++) { - int idx = (col * this.NPTS) + j; - this.RES[idx] = this.UY[idx]; - } - } - else if (Math.abs(this.Y[j] - 1.0) <= tol) { - for (int col = 0; col < this.NPDE; col++) { - int idx = (col * this.NPTS) + j; - this.RES[idx] = this.U[idx] - 1.0; - } - } - } - - } - - } - - public static class MONIT extends D03RA.Abstract_D03RA_MONITR { - - public void eval() { - int ipsol, k, level, npts; - - if (TLAST) { - // Print solution - level = this.NLEV - 1; - npts = this.NGPTS[level]; - ipsol = this.LSOL[level]; - k = 0; - for (int i = 0; i < level; i++) { - k += this.NGPTS[i]; - } - - System.out.printf( - " Solution at every 4th grid point in level%10d" - + " at time %8.4f:%n%n", this.NLEV, this.T - ); - System.out.println( - " x y approx u\n" - ); - for (int i = 0; i < npts; i += 4) { - double ix = this.XPTS[k + i]; - double iy = this.YPTS[k + i]; - double isol = this.SOL[ipsol + i]; - System.out.printf( - " %11.4E %11.3E %11.3E%n", - ix, iy, isol - ); - } - System.out.println(); - - } - - } - - } - - public static class MONITDUMMY extends D03RA.Abstract_D03RA_MONITR { - - public void eval() { - return; - } - - } - - public static int[] computeWkspaceLens(int maxlev, int npde, int maxpts) { - int lenrwk, leniwk, lenlwk; - - lenrwk = (2 * maxpts * npde * ((5 * maxlev) + (18 * npde) + 9)) - + (2 * maxpts); - leniwk = (2 * maxpts * (14 + (5 * maxlev))) - + (7 * maxlev) + 2; - lenlwk = (2 * maxpts) + 400; - - return new int[] {lenrwk, leniwk, lenlwk}; - - } - - public static void printStatistics(double ts, int[] iwk, int maxlev) { - int[] istats = new int[4]; - - System.out.printf(" Statistics:%n"); - System.out.printf(" Time = %8.4f%n", ts); - System.out.printf( - " Total number of accepted timesteps =%5d%n", iwk[0] - ); - System.out.printf( - " Total number of rejected timesteps =%5d%n", iwk[1] - ); - System.out.printf( - "%n" - + " Total number (rounded) of%n" - + " Residual Jacobian Newton Lin sys%n" - + " evals evals iters iters%n" - + " At level %n" - ); - - for (int j = 0; j < maxlev; j++) { - if (iwk[j + 2] != 0) { - int idx = 0; - for (int i = j+2; i <= j+2+(3*maxlev); i += maxlev) { - istats[idx++] = iwk[i]; - } - istats = roundStatisics(istats); - System.out.printf("%8d", j + 1); - for (int i = 0; i < 4; i++) { - System.out.printf("%10d", istats[i]); - } - System.out.printf("%n"); - } - } - - System.out.printf( - "%n" - + " Maximum number of %n" - + " Newton iters Lin sys iters %n" - + " At level %n" - ); - - for (int j = 0; j < maxlev; j++) { - if (iwk[j+2] != 0) { - System.out.printf("%8d", j+1); - System.out.printf("%14d", iwk[j+2+(4*maxlev)]); - System.out.printf("%14d", iwk[j+2+(5*maxlev)]); - System.out.printf("%n"); - } - } - System.out.println(); - - } - - public static int[] roundStatisics(int[] istat) { - double lt; - int k; - - lt = Math.log(10.0); - for (int i = 0; i < istat.length; i++) { - // istat = 0 leads to div by 0 error, doesn't need rounding anyway - if (istat[i] != 0) { - k = (int) (Math.log((double) istat[i]) / lt); - k = (int) Math.pow(10, k); - istat[i] = k * ((istat[i] + k/2)/k); - } - } - - return istat; - - } - -} diff --git a/simple_examples/int32/D03RBJE.java b/simple_examples/int32/D03RBJE.java deleted file mode 100644 index 9b1b482..0000000 --- a/simple_examples/int32/D03RBJE.java +++ /dev/null @@ -1,388 +0,0 @@ -import com.nag.routines.D03.D03RB; -import com.nag.routines.D03.D03RZ; -import java.util.Arrays; - -/** - * D03RB example program text. - * @author joed - */ -public class D03RBJE { - - public static final int ITRACE = -1; - public static final int NPDE = 2; - public static final double[] TWANT = {0.25, 1.0}; - - public static boolean do_monitr; - public static int print_stats = 0; - - public static BNDARY bndary = new BNDARY(); - public static INIDOM inidom = new INIDOM(); - public static MONITR monitr = new MONITR(); - public static PDEDEF pdedef = new PDEDEF(); - public static PDEIV pdeiv = new PDEIV(); - - public static void main(String[] args) { - D03RB d03rb = new D03RB(); - double tols, tolt, tout, ts; - int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, mxlev, npts; - boolean[] lwk; - double[] optr, rwk, dt = new double[3]; - int[] iwk, opti = new int[4]; - - System.out.println(" D03RBJ Example Program Results"); - - npts = 3000; - mxlev = 7; - - leniwk = 10 * npts * (5 * mxlev + 14) + 2 + 7 * mxlev; - lenlwk = 20 * npts; - lenrwk = 20 * (npts * NPDE * (5 * mxlev + 9 + 18 * NPDE) + 2 * npts); - - rwk = new double[lenrwk]; - iwk = new int[leniwk]; - lwk = new boolean[lenlwk]; - optr = new double[3 * NPDE]; - - // Specify that we are starting the integration in time - // (ind = 0 normally). - ind = 10; - - ts = 0.0; - dt[0] = 0.001; - dt[1] = 1.0E-7; - dt[2] = 0.0; - tols = 0.1; - tolt = 0.05; - opti[0] = mxlev; - maxlev = opti[0]; - Arrays.fill(opti, 1, 4, 0); - Arrays.fill(optr, 1.0); - - // Call main routine - for (int iout = 1; iout <= 2; iout++) { - do_monitr = (iout == 2); - tout = TWANT[iout - 1]; - - ifail = 0; - d03rb.eval( - NPDE, ts, tout, dt, tols, tolt, inidom, pdedef, bndary, pdeiv, - monitr, opti, optr, rwk, lenrwk, iwk, leniwk, lwk, lenlwk, - ITRACE, ind, ifail - ); - ind = d03rb.getIND(); - ifail = d03rb.getIFAIL(); - ts = d03rb.getTS(); - - if (print_stats != 0) { - System.out.printf(" Statistics:\n"); - System.out.printf(" Time = %8.4f\n", ts); - System.out.printf( - " Total number of accepted timesteps =%5d\n", iwk[0] - ); - System.out.printf( - " Total number of rejected timesteps =%5d\n", iwk[1] - ); - System.out.println( - " Total number of " - + " maximum number of " - ); - System.out.println( - " Residual Jacobian Newton Newton " - ); - System.out.println( - " evals evals iters iters " - ); - System.out.println(" Level "); - - maxlev = opti[0]; - for (int j = 0; j < maxlev; j++) { - if (iwk[j+2] != 0) { - System.out.printf( - "%4d%10d%10d%10d%10d\n", - j+1, - iwk[j + 2 + 0*maxlev], - iwk[j + 2 + 1*maxlev], - iwk[j + 2 + 2*maxlev], - iwk[j + 2 + 4*maxlev] - ); - } - } - System.out.println(); - - } - - } - - } - - public static class PDEIV extends D03RB.Abstract_D03RB_PDEIV { - - public void eval(int NPTS, int NPDE, double T, double[] X, double[] Y, double[] U) { - this.setNPTS(NPTS); - this.setNPDE(NPDE); - this.setT(T); - this.setX(X); - this.setY(Y); - this.setU(U); - this.eval(); - } - - public void eval() { - double eps = 0.001, a; - - for (int i = 1; i <= this.NPTS; i++) { - a = (4.0 * (this.Y[i-1] - this.X[i-1]) - this.T) / (32.0 * eps); - if (a <= 0.0) { - this.U[getIdx(i, 1, this.NPTS)] - = 0.75 - 0.25 / (1.0 + Math.exp(a)); - this.U[getIdx(i, 2, this.NPTS)] - = 0.75 + 0.25 / (1.0 + Math.exp(a)); - } - else { - a = -a; - this.U[getIdx(i, 1, this.NPTS)] - = 0.75 - 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); - this.U[getIdx(i, 2, this.NPTS)] - = 0.75 + 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); - } - } - - } - - } - - public static class INIDOM extends D03RB.Abstract_D03RB_INIDOM { - - public void eval() { - int ifail, leniwk; - int[] icold, ilbndd, irowd, lbndd, llbndd, lrowd; - int[] iwk = new int[122]; - String[] pgrid = new String[11]; - - for (int i = 0; i < 11; i++) { - pgrid[i] = " "; - } - - icold = new int[]{ - 0,1,2,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5, - 6,7,8,9,10,0,1,2,3,4,5,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4, - 5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,0,1,2,3,4, - 5,6,7,8,0,1,2,3,4,5,6,7,8 - }; - - ilbndd = new int[]{ - 1,2,3,4,1,4,1,2,3,4,3,4,1,2,12,23,34,41,14,41,12,23,34,41,43,14, - 21,32 - }; - - irowd = new int[]{0,1,2,3,4,5,6,7,8,9,10}; - - lbndd = new int[]{ - 2,4,15,26,37,46,57,68,79,88,98,99,100,101,102,103,104,96,86,85, - 84,83,82,70,59,48,39,28,17,6,8,9,10,11,12,13,18,29,40,49,60,72, - 73,74,75,76,77,67,56,45,36,25,33,32,42,52,53,43,1,97,105,87,81, - 3,7,71,78,14,31,51,54,34 - }; - - llbndd = new int[]{ - 1,2,11,18,19,24,31,37,42,48,53,55,56,58,59,60,61,62,63,64,65,66, - 67,68,69,70,71,72 - }; - - lrowd = new int[]{1,4,15,26,37,46,57,68,79,88,97}; - - this.NX = 11; - this.NY = 11; - - // Check MAXPTS against rough estimate of NPTS. - this.NPTS = this.NX * this.NY; - if (this.MAXPTS < this.NPTS) { - this.IERR = -1; - return; - } - - this.XMIN = 0.0; - this.YMIN = 0.0; - this.XMAX = 1.0; - this.YMAX = 1.0; - - this.NROWS = 11; - this.NPTS = 105; - this.NBNDS = 28; - this.NBPTS = 72; - - for (int i = 0; i < this.NROWS; i++) { - this.LROW[i] = lrowd[i]; - this.IROW[i] = irowd[i]; - } - - for (int i = 0; i < this.NBNDS; i++) { - this.LLBND[i] = llbndd[i]; - this.ILBND[i] = ilbndd[i]; - } - - for (int i = 0; i < this.NBPTS; i++) { - this.LBND[i] = lbndd[i]; - } - - for (int i = 0; i < this.NPTS; i++) { - this.ICOL[i] = icold[i]; - } - - } - - } - - public static class PDEDEF extends D03RB.Abstract_D03RB_PDEDEF { - - public void eval() { - - double eps = 1E-3; - int n = this.NPTS; // For concise getIdx calls - - for (int i = 1; i <= n; i++) { - this.RES[getIdx(i, 1, n)] - = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 1, n)] - - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 1, n)] - + eps * (this.UXX[getIdx(i, 1, n)] - + this.UYY[getIdx(i, 1, n)]); - this.RES[getIdx(i, 2, n)] - = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 2, n)] - - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 2, n)] - + eps * (this.UXX[getIdx(i, 2, n)] - + this.UYY[getIdx(i, 2, n)]); - this.RES[getIdx(i, 1, n)] - = this.UT[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; - this.RES[getIdx(i, 2, n)] - = this.UT[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; - } - - } - - } - - public static class BNDARY extends D03RB.Abstract_D03RB_BNDARY { - - public void eval() { - - double a, eps = 1E-3; - int i, n = this.NPTS; - - for (int k = this.LLBND[0]; k <= this.NBPTS; k++) { - i = this.LBND[k - 1]; - a = (-4.0 * this.X[i - 1] + 4.0 * this.Y[i - 1] - this.T) - / (32.0 * eps); - - if (a <= 0.0) { - this.RES[getIdx(i, 1, n)] - = 0.75 - 0.25 / (1.0 + Math.exp(a)); - this.RES[getIdx(i, 2, n)] - = 0.75 + 0.25 / (1.0 + Math.exp(a)); - } - else { - a = -a; - this.RES[getIdx(i, 1, n)] - = 0.75 - (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); - this.RES[getIdx(i, 2, n)] - = 0.75 + (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); - } - - this.RES[getIdx(i, 1, n)] - = this.U[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; - this.RES[getIdx(i, 2, n)] - = this.U[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; - - } - - } - - } - - public static class MONITR extends D03RB.Abstract_D03RB_MONITR { - - public void eval() { - - D03RZ d03rz = new D03RZ(); - double aprxU, exctU, aprxV, exctV; - int maxpts = 6000; - int ifail, ipsol, npts; - double[] uex = new double[105*2], x = new double[maxpts], - y = new double[maxpts]; - - for (int level = 0; level < this.NLEV; level++) { - - if (!this.TLAST) { - break; - } - - ipsol = this.LSOL[level]; - - // Get grid information - ifail = -1; - npts = 0; - d03rz.eval( - level + 1, this.NLEV, this.XMIN, this.YMIN, this.DXB, - this.DYB, this.LGRID, this.ISTRUC, npts, x, y, maxpts, - ifail - ); - ifail = d03rz.getIFAIL(); - npts = d03rz.getNPTS(); - - if (ifail != 0) { - this.IERR = 1; - break; - } - - // Skip printing? - if (!do_monitr || (level != 0)) { - continue; - } - - // Get exact solution - pdeiv.eval(npts, this.NPDE, this.T, x, y, uex); - - System.out.println(); - System.out.printf( - " Solution at every 2nd grid point in level %d at" - + " time %8.4f:\n\n", level + 1, this.T - ); - System.out.print( - " x y approx u exact u approx v" - + " exact v\n\n" - ); - - ipsol = this.LSOL[level]; - - for (int i = 0; i < npts; i += 2) { - aprxU = this.SOL[ipsol + i]; - exctU = uex[getIdx(i+1, 1, npts)]; - aprxV = this.SOL[ipsol + npts + i]; - exctV = uex[getIdx(i+1, 2, npts)]; - System.out.printf( - " %9.2f %9.2f %9.2f %9.2f %9.2f %9.2f\n", - x[i], y[i], aprxU, exctU, aprxV, exctV - ); - } - System.out.println(); - - } - - } - - } - - /** - * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based - * Java index. - * - *

    Fortran array definition: - * a(dimX, *) - * - *

    Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return ((y-1) * dimX) + (x-1); - } - -} diff --git a/simple_examples/int32/D05BAJE.java b/simple_examples/int32/D05BAJE.java deleted file mode 100644 index 7a8caf7..0000000 --- a/simple_examples/int32/D05BAJE.java +++ /dev/null @@ -1,111 +0,0 @@ -import com.nag.routines.D05.D05BA; -import com.nag.routines.X02.X02AJ; - -/** - * D05BAJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class D05BAJE{ - - /** - * D05BAJE main program - */ - public static void main(String[] args){ - double alim, h, hi, si, thresh, tlim, tol; - int ifail, iorder, lwk, nmesh = 6; - String method; - double[] errest, yn, work; - - errest = new double[nmesh]; - yn = new double[nmesh]; - - System.out.println("D05BAJ Example Program Results"); - - method = "A"; - iorder = 6; - alim = 0; - tlim = 20; - h = (tlim - alim) / (double) nmesh; - tol = 0.001; - X02AJ x02aj = new X02AJ(); - thresh = x02aj.eval(); - lwk = 10 * nmesh + 6; - work = new double[lwk]; - - //Loop until the supplied workspace is big enough - //breakflag used to exit loop - boolean breakflag = false; - while(true){ - ifail = 1; - - ck ck1 = new ck(); - cf cf1 = new cf(); - cg cg1 = new cg(); - - D05BA d05ba = new D05BA(ck1, cg1, cf1, method, iorder, alim, tlim, yn, errest, nmesh, - tol, thresh, work, lwk, ifail); - d05ba.eval(); - - //update - ifail = d05ba.getIFAIL(); - lwk = d05ba.getLWK(); - work = d05ba.getWORK(); - - switch(ifail){ - case 5: - lwk = (int) work[0]; - work = new double[lwk]; - break; - case 6: - lwk = (int) work[0]; - work = new double[lwk]; - break; - default: - breakflag = true; - } - - if(breakflag == true){ - break; - } - } - - if(ifail != 0){ - System.out.printf("D05BAJ exited with IFAIL = %d\n", ifail); - } - - System.out.println(); - System.out.printf("Size of workplace = %d\n", lwk); - System.out.printf("Tolerance = %.4e\n", tol); - System.out.println(); - System.out.print("T\tApprox. Sol.\tTrue Sol.\tEst. Error\tActual Error\n"); - for(int i = 0; i < nmesh; i++){ - hi = (double) (i + 1) * h; - si = sol(hi); - System.out.printf("%.2f\t%.5f\t\t%.5f\t\t%.5e\t%.5e\n", (alim + hi), yn[i], si, errest[i], Math.abs((yn[i] - si) / si)); - } - } - - private static double sol(double t){ - return Math.log(t + Math.exp(1)); - } - - public static class ck extends D05BA.Abstract_D05BA_CK{ - public double eval(){ - return Math.exp(-this.T); - } - } - - public static class cf extends D05BA.Abstract_D05BA_CF{ - public double eval(){ - return Math.exp(-this.T); - } - } - - public static class cg extends D05BA.Abstract_D05BA_CG{ - public double eval(){ - return (this.Y + Math.exp(-this.Y)); - } - } -} - diff --git a/simple_examples/int32/D05BEJE.java b/simple_examples/int32/D05BEJE.java deleted file mode 100644 index f98bea3..0000000 --- a/simple_examples/int32/D05BEJE.java +++ /dev/null @@ -1,185 +0,0 @@ -import com.nag.routines.D05.D05BE; -import com.nag.routines.X01.X01AA; -import com.nag.routines.X02.X02AJ; - -/** - * D05BEJ example program text. - * @author willa - */ -public class D05BEJE{ - - private static final int iorder = 4; - private static final int nmesh = (int)(Math.pow(2, 6) + (2 * iorder) - 1); - private static final int nout = 6; - private static final int lct = nmesh / 32 + 1; - private static final int lwk = ((2 * iorder) + 6) * nmesh + (8 * iorder * iorder) - (16 * iorder) + 1; - - public static void main(String[] args){ - double err, errmax, h, hi1, soln = 0, t = 0, tlim, tolnl; - int ifail; - double[] work, yn; - int[] nct; - - work = new double[lwk]; - yn = new double[nmesh]; - nct = new int[lct]; - - System.out.println("D05BEJ Example Program Results"); - - X02AJ x02aj = new X02AJ(); - tlim = 7; - tolnl = Math.sqrt(x02aj.eval()); - h = tlim /(double) (nmesh - 1); - yn[0] = 0; - - ifail = 0; - - D05BE d05be = new D05BE(); - ck1 k1 = new ck1(); - cf1 f1 = new cf1(); - cg1 g1 = new cg1(); - d05be.eval(k1, f1, g1, "Initial", iorder, tlim, tolnl, nmesh, yn, work, lwk, nct, ifail); - - //UPDATE - yn = d05be.getYN(); - - System.out.println(); - System.out.println("Example 1"); - System.out.println(); - System.out.printf("The stepsize h = %.4f\n", h); - System.out.println(); - System.out.println("\tT\tApproximate"); - System.out.println("\t\tSolution"); - System.out.println(); - - errmax = 0; - - for(int i = 1; i < nmesh; i++){ - hi1 = (double) i * h; - err = Math.abs(yn[i] - sol1(hi1)); - - if(err > errmax){ - errmax = err; - t = hi1; - soln = yn[i]; - } - - if((i > 4) && (i % 5 == 0)){ - System.out.printf("\t%.4f\t%.4f\n", hi1, yn[i]); - } - } - - System.out.println(); - System.out.printf("The maximum absolute error, %.2e, occured at T = %.4f with solution %.4f\n", errmax, t, soln); - System.out.println(); - - tlim = 5; - h = tlim /(double) (nmesh - 1); - yn[0] = 1; - - ifail = 0; - - ck2 k2 = new ck2(); - cf2 f2 = new cf2(); - cg2 g2 = new cg2(); - d05be.eval(k2, f2, g2, "Subsequent", iorder, tlim, tolnl, nmesh, yn, work, lwk, nct, ifail); - - //UPDATE - yn = d05be.getYN(); - - System.out.println(); - System.out.println("Example 2"); - System.out.println(); - System.out.printf("The stepsize h = %.4f\n", h); - System.out.println(); - System.out.println("\tT\tApproximate"); - System.out.println("\t\tSolution"); - System.out.println(); - - errmax = 0; - - for(int i = 0; i < nmesh; i++){ - hi1 = (double) i * h; - err = Math.abs(yn[i] - sol2(hi1)); - if(err > errmax){ - errmax = err; - t = hi1; - soln = yn[i]; - } - - if((i > 6) && (i % 7 == 0)){ - System.out.printf("\t%.4f\t%.4f\n", hi1, yn[i]); - } - } - - System.out.println(); - System.out.printf("The maximum absolute error, %.2e, occured at T = %.4f with solution %.4f\n", errmax, t, soln); - } - - private static double sol1(double t){ - double c, pi, t1, x = 0; - - //x is dummy variable - X01AA x01aa = new X01AA(x); - pi = x01aa.eval(); - - t1 = 1 + t; - c = 1 / Math.sqrt(2 * pi); - - return (c * (1 / Math.pow(t, 1.5)) * Math.exp((-t1 * t1) / (2 * t))); - } - - private static double sol2(double t){ - return (1 / (1 + t)); - } - - private static class ck1 extends D05BE.Abstract_D05BE_CK{ - public double eval(){ - return (Math.exp(-0.5 * this.T)); - } - } - - private static class ck2 extends D05BE.Abstract_D05BE_CK{ - double pi, x = 0; - - public double eval(){ - X01AA x01aa = new X01AA(x); - pi = x01aa.eval(); - return Math.sqrt(pi); - } - } - - private static class cf1 extends D05BE.Abstract_D05BE_CF{ - double a, pi, t1, x = 0; - - public double eval(){ - X01AA x01aa = new X01AA(x); - pi = x01aa.eval(); - - t1 = 1 + this.T; - a = 1 / Math.sqrt(pi * this.T); - return (-a * Math.exp((-0.5 * t1 * t1) / this.T)); - } - } - - private static class cf2 extends D05BE.Abstract_D05BE_CF{ - double st1; - - public double eval(){ - st1 = Math.sqrt(1 + this.T); - return ((-2 * Math.log(st1 + Math.sqrt(this.T))) / st1); - } - } - - private static class cg1 extends D05BE.Abstract_D05BE_CG{ - public double eval(){ - return this.Y; - } - } - - private static class cg2 extends D05BE.Abstract_D05BE_CG{ - public double eval(){ - return this.Y; - } - } -} diff --git a/simple_examples/int32/DTFSMJE.java b/simple_examples/int32/DTFSMJE.java deleted file mode 100644 index a88b114..0000000 --- a/simple_examples/int32/DTFSMJE.java +++ /dev/null @@ -1,54 +0,0 @@ -import com.nag.routines.F01.DTRTTF; -import com.nag.routines.F06.DTFSM; -import com.nag.routines.X04.X04CA; - -/** - * DTFSM example program text. Adapted from f06wbfe.f90 - * @author joed - */ -public class DTFSMJE { - - public static void main(String[] args) { - - double alpha = 4.21; - int ifail = 0, info = 0, m = 6, n = 4; - String side = "L", trans = "N", transr = "N", uplo = "L"; - DTFSM dtfsm = new DTFSM(); - DTRTTF dtrttf = new DTRTTF(); - X04CA x04ca = new X04CA(); - - System.out.println(" DTFSMJ Example Program Results\n"); - - // Set lower triangle of matrix A - double[] a = new double[m*m]; - for (int i = 0; i < m; i++) { - for (int j = 0; j < m; j++) { - a[i*m+j] = (j >= i) ? j+1 : 0; - } - } - - // Set matrix B - double[] b = new double[] { - 3.22, 1.64, 1.87, 5.20, 1.83, -1.10, - 1.37, 1.80, 2.87, -2.99, -2.71, -0.63, - 2.31, 0.38, 2.02, -0.91, -2.81, -0.50, - 0.29, -1.52, -0.80, -3.87, -1.13, 0.81 - }; - - // Convert A to rectangular full packed storage in ar - double[] ar = new double[(m*(m+1))/2]; - info = 0; - dtrttf.eval(transr, uplo, m, a, m, ar, info); - info = dtrttf.getINFO(); - - // Perform the matrix-matrix operation - dtfsm.eval(transr, side, uplo, trans, "N", m, n, alpha, ar, b, m); - - // Print result - ifail = 0; - x04ca.eval("General", " ", m, n, b, m, "The Solution", ifail); - ifail = x04ca.getIFAIL(); - - } - -} diff --git a/simple_examples/int32/E01DAJE.java b/simple_examples/int32/E01DAJE.java deleted file mode 100644 index 10c008f..0000000 --- a/simple_examples/int32/E01DAJE.java +++ /dev/null @@ -1,182 +0,0 @@ -import com.nag.routines.E01.E01DA; -import com.nag.routines.E02.E02DF; - -/** - * E01DA example program text. - */ -public class E01DAJE { - - public static void main(String[] args) { - - int mx = 7, my = 6, ifail = -1; - double[] x = new double[mx]; - double[] y = new double[my]; - double[] f = new double[mx*my]; - double[] lamda = new double[mx+4]; - double[] mu = new double[my+4]; - double[] c = new double[mx*my]; - double[] wrk = new double[(mx+6)*(my+6)]; - - int nx = 6, ny = 6, px = 0, py = 0; - double xlo = 1.0, xhi = 2.0; - double ylo = 0.0, yhi = 1.0; - - E01DA e01da = new E01DA(); - - // Input X, Y and function values on X-Y grid - x[0] = 1.00; - x[1] = 1.10; - x[2] = 1.30; - x[3] = 1.50; - x[4] = 1.60; - x[5] = 1.80; - x[6] = 2.00; - - y[0] = 0.00; - y[1] = 0.10; - y[2] = 0.40; - y[3] = 0.70; - y[4] = 0.90; - y[5] = 1.00; - - // On entry: F[my*(q-1)+r-1] must contain f(q,r), for q=1,2,...,mx - // and r=1,2,...,my. - f[0] = 1.00; - f[1] = 1.10; - f[2] = 1.40; - f[3] = 1.70; - f[4] = 1.90; - f[5] = 2.00; - f[6] = 1.21; - f[7] = 1.31; - f[8] = 1.61; - f[9] = 1.91; - f[10] = 2.11; - f[11] = 2.21; - f[12] = 1.69; - f[13] = 1.79; - f[14] = 2.09; - f[15] = 2.39; - f[16] = 2.59; - f[17] = 2.69; - f[18] = 2.25; - f[19] = 2.35; - f[20] = 2.65; - f[21] = 2.95; - f[22] = 3.15; - f[23] = 3.25; - f[24] = 2.56; - f[25] = 2.66; - f[26] = 2.96; - f[27] = 3.26; - f[28] = 3.46; - f[29] = 3.56; - f[30] = 3.24; - f[31] = 3.34; - f[32] = 3.64; - f[33] = 3.94; - f[34] = 4.14; - f[35] = 4.24; - f[36] = 4.00; - f[37] = 4.10; - f[38] = 4.40; - f[39] = 4.70; - f[40] = 4.90; - f[41] = 5.00; - - System.out.printf(" E01DAJ Example Program Results\n\n"); - e01da.eval(mx, my, x, y, f, px, py, lamda, mu, c, wrk, ifail); - - ifail = e01da.getIFAIL(); - switch (ifail) { - case 0: - System.out.printf(" I Knot LAMDA(I) J Knot MU(j)\n"); - for (int i = 3; i <= Math.max(mx,my); ++i) { - if (i <= mx) { - System.out.printf("%4d %9.4f", i+1, lamda[i]); - } - else { - System.out.printf(" "); - } - if (i <= my) { - System.out.printf("%8d %9.4f\n", i+1, mu[i]); - } - else { - System.out.printf("\n"); - } - } - System.out.printf("\n The B-Spline coefficients:\n"); - for (int i = 0; i < mx*my; ++i) { - System.out.printf("%9.4f", c[i]); - if ((i+1)%8 == 0) { - System.out.printf("\n"); - } - } - System.out.printf("\n"); - break; - default: - System.out.printf("\n Error detected by E01DA: %d\n", ifail); - } - - /* Evaluate the spline on a regular rectangular grid at nx*ny points - over the domain [xlo,xhi] x [ylo,yhi]. */ - px = e01da.getPX(); - py = e01da.getPY(); - int liwrk; - int lwrk = Math.min(4*nx+px, 4*ny+py); - if (4*nx+px > 4*ny+py) { - liwrk = ny + py - 4; - } - else { - liwrk = nx + px - 4; - } - double[] tx = new double[nx]; - double[] ty = new double[ny]; - double[] ff = new double[nx*ny]; - wrk = new double[lwrk]; - int[] iwrk = new int[liwrk]; - - /* Generate nx/ny equispaced x/y co-ordinates */ - double step = (xhi-xlo)/(nx-1); - tx[0] = xlo; - for (int i = 1; i < nx-1; i++) { - tx[i] = tx[i-1] + step; - } - tx[nx-1] = xhi; - - step = (yhi-ylo)/(ny-1); - ty[0] = ylo; - for (int i = 1; i < ny-1; i++) { - ty[i] = ty[i-1] + step; - } - ty[ny-1] = yhi; - - /* Evaluate the spline. */ - E02DF e02df = new E02DF(); - ifail = 0; - e02df.eval(nx,ny,px,py,tx,ty,lamda,mu,c,ff,wrk,lwrk,iwrk,liwrk,ifail); - - ifail = e02df.getIFAIL(); - switch (ifail) { - case 0: - System.out.printf("\n Spline evaluated on a regular mesh (X across, Y down):\n"); - System.out.printf(" "); - for (int i = 0; i < nx; ++i) { - System.out.printf(" %5.2f ", tx[i]); - } - System.out.printf("\n"); - for (int i = 0; i < ny; ++i) { - System.out.printf(" %5.2f ", ty[i]); - for (int j = 0; j < nx; ++j) { - System.out.printf(" %8.3f", ff[ny*j+i]); - } - System.out.printf("\n"); - } - break; - default: - System.out.printf("\n Error detected by E02DF: %d\n", ifail); - } - - } - -} diff --git a/simple_examples/int32/E02ALJE.java b/simple_examples/int32/E02ALJE.java deleted file mode 100644 index 372f125..0000000 --- a/simple_examples/int32/E02ALJE.java +++ /dev/null @@ -1,101 +0,0 @@ -import com.nag.routines.E02.E02AL; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * E02ALJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class E02ALJE{ - - /** - * E02ALJ Example main program - */ - public static void main(String[] args){ - double dxx, ref = 0, s, t, xx; - int ifail, n = 0, m = 0, neval = 0; //placeholders - double[] a, x, y; - - a = new double[0]; - x = new double[0]; - y = new double[0]; //placeholders - - System.out.println("E02ALJ Example Program Results"); - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[1]); - m = Integer.parseInt(sVal[2]); - neval = Integer.parseInt(sVal[3]); - - a = new double[m + 1]; - x = new double[n]; - y = new double[n]; - - for(int i = 0; i < n; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - x[i] = Double.parseDouble(sVal[1]); - y[i] = Double.parseDouble(sVal[2]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - System.exit(-2); - } - - ifail = 0; - E02AL e02al = new E02AL(n, x, y, m, a, ref, ifail); - e02al.eval(); - - //update - ref = e02al.getREF(); - x = e02al.getX(); - y = e02al.getY(); - - - System.out.println(); - System.out.printf(" Polynomial coefficients\n"); - for(int i = 0; i <= m; i++){ - System.out.printf("\t%.4e\n", a[i]); - } - System.out.println(); - System.out.printf(" Reference deviation = %.2e\n", ref); - System.out.println(); - System.out.printf("\tX\tFit\texp(x)\tResidual\n"); - - dxx = 1/(double)(neval - 1); - - for(int j = 0; j < neval; j++){ - xx = (double) j * dxx; - - s = a[m]; - - for(int i = m - 1; i >=0; i--){ - s = s * xx + a[i]; - } - - t = Math.exp(xx); - System.out.printf("\t%.2f\t%.4f\t%.4f\t%.2e\n", xx, s, t, (s - t)); - } - } -} - diff --git a/simple_examples/int32/E04ABJE.java b/simple_examples/int32/E04ABJE.java deleted file mode 100644 index 773f1ff..0000000 --- a/simple_examples/int32/E04ABJE.java +++ /dev/null @@ -1,76 +0,0 @@ -import com.nag.routines.E04.E04AB; - -/** - * E04ABJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class E04ABJE{ - - /** - * E04ABJE main program - */ - public static void main(String[] args){ - double a, b, e1, e2, f = 0, x = 0; //placeholders - int ifail, maxcal; - double[] ruser; - int[] iuser; - - ruser = new double[1]; - iuser = new int[1]; - - System.out.println("E04ABJ Example Program Results"); - - //e1 and e2 are set to zero so that E04ABA will reset them to their default values - - e1 = 0; - e2 = 0; - - //The minimum is known to lie in the range (3.5, 5.0) - - a = 3.5; - b = 5.0; - - //Allow 30 calls of FUNCT - - maxcal = 30; - - ifail = -1; - funct funct1 = new funct(); - E04AB e04ab = new E04AB(funct1, e1, e2, a, b, maxcal, x, f, iuser, ruser, ifail); - e04ab.eval(); - - //update - ifail = e04ab.getIFAIL(); - a = e04ab.getA(); - b = e04ab.getB(); - x = e04ab.getX(); - f = e04ab.getF(); - maxcal = e04ab.getMAXCAL(); - - switch(ifail){ - case 0: - System.out.println(); - System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); - System.out.printf("Its estimated position is %.8f,\n", x); - System.out.printf("where the function value is %.4f\n", f); - System.out.printf("%d function evaluations were required\n", maxcal); - break; - case 2: - System.out.println(); - System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); - System.out.printf("Its estimated position is %.8f,\n", x); - System.out.printf("where the function value is %.4f\n", f); - System.out.printf("%d function evaluations were required\n", maxcal); - break; - default: - break; - } - } - - public static class funct extends E04AB.Abstract_E04AB_FUNCT{ - public void eval(){ - FC = Math.sin(this.XC) / this.XC; - } - } -} diff --git a/simple_examples/int32/E04BBJE.java b/simple_examples/int32/E04BBJE.java deleted file mode 100644 index d7032f5..0000000 --- a/simple_examples/int32/E04BBJE.java +++ /dev/null @@ -1,81 +0,0 @@ -import com.nag.routines.E04.E04BB; - -/** - * E04BBJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class E04BBJE{ - - /** - * E04BBJE main program - */ - public static void main(String[] args){ - double a, b, e1, e2, f = 0, g = 0, x = 0; //placeholders - int ifail, maxcal; - double[] ruser; - int[] iuser; - - ruser = new double[1]; - iuser = new int[1]; - - System.out.println("E04BBJ Example Program Results"); - - //e1 and e2 are set to zero so that E04BBA will reset them to their default values - - e1 = 0; - e2 = 0; - - //The minimum is known to lie in the range (3.5, 5.0) - - a = 3.5; - b = 5.0; - - //Allow 30 calls of FUNCT - - maxcal = 30; - - ifail = -1; - funct funct1 = new funct(); - E04BB e04bb = new E04BB(funct1, e1, e2, a, b, maxcal, x, f, g, iuser, ruser, ifail); - e04bb.eval(); - - //update - a = e04bb.getA(); - b = e04bb.getB(); - maxcal = e04bb.getMAXCAL(); - x = e04bb.getX(); - f = e04bb.getF(); - g = e04bb.getG(); - ifail = e04bb.getIFAIL(); - - switch(ifail){ - case 0: - System.out.println(); - System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); - System.out.printf("Its estimated position is %.8f,\n", x); - System.out.printf("where the function value is %.4f\n", f); - System.out.printf("and the gradient is %.1e (machine dependent)\n", g); - System.out.printf("%d function evaluations were required\n", maxcal); - break; - case 2: - System.out.println(); - System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); - System.out.printf("Its estimated position is %.8f,\n", x); - System.out.printf("where the function value is %.4f\n", f); - System.out.printf("and the gradient is %.1e (machine dependent)\n", g); - System.out.printf("%d function evaluations were required\n", maxcal); - break; - default: - break; - } - } - - public static class funct extends E04BB.Abstract_E04BB_FUNCT{ - public void eval(){ - this.FC = Math.sin(this.XC) / this.XC; - this.GC = (Math.cos(this.XC) - this.FC)/this.XC; - } - } -} - diff --git a/simple_examples/int32/E04CBJE.java b/simple_examples/int32/E04CBJE.java deleted file mode 100644 index fbde674..0000000 --- a/simple_examples/int32/E04CBJE.java +++ /dev/null @@ -1,90 +0,0 @@ -import com.nag.routines.E04.E04CB; -import com.nag.routines.E04.E04CBK; -import com.nag.routines.X02.X02AJ; - -/** - * E04CBJ Example Program text - * @author willa - * @since 27.1.0.0 - */ -public class E04CBJE{ - - /** - * E04CBJE main program - */ - public static void main(String[] args){ - int n = 2, ifail, maxcal; - double f = 0, tolf, tolx; //placeholders - boolean monitoring; - int[] iuser; - double[] ruser, x; - - iuser = new int[1]; - ruser = new double[1]; - x = new double[n]; - - System.out.println("E04CBJ Example Program Results"); - - //Set monitoring to true to obtain monitoring information - monitoring = false; - - x[0] = -1.0; - x[1] = 1.0; - X02AJ x02aj = new X02AJ(); - tolf = Math.sqrt(x02aj.eval()); - tolx = Math.sqrt(tolf); - maxcal = 100; - - ifail = 0; - - funct funct1 = new funct(); - if(!monitoring){ - defMonit monit = new defMonit(); - E04CB e04cb = new E04CB(n, x, f, tolf, tolx, funct1, monit, maxcal, iuser, ruser, ifail); - e04cb.eval(); - } - else{ - myMonit monit = new myMonit(); - E04CB e04cb = new E04CB(n, x, f, tolf, tolx, funct1, monit, maxcal, iuser, ruser, ifail); - e04cb.eval(); - } - - System.out.println(); - System.out.printf("The final function value is \t%.4f\n", f); - System.out.printf("at the point\t"); - for(int i = 0; i < n; i++){ - System.out.printf("%.4f\t", x[i]); - } - System.out.printf("\n"); - } - - public static class funct extends E04CB.Abstract_E04CB_FUNCT{ - public void eval(){ - this.FC = Math.exp(this.XC[0]) * ((4 * this.XC[0] * (this.XC[0] + this.XC[1])) + (2 * this.XC[1] * (this.XC[1] + 1) + 1)); - } - } - - public static class myMonit extends E04CB.Abstract_E04CB_MONIT{ - public void eval(){ - System.out.println(); - System.out.printf("There have been %d function calls\n", this.NCALL); - System.out.printf("The smallest function value is %.4f\n", this.FMIN); - System.out.printf("The simplex is\n"); - for(int i = 0; i <= this.N; i++){ - for(int j = 0; j < this.N; j++){ - System.out.printf("%.4f\t", this.SIM[(j * (this.N + 1)) + i]); - } - System.out.printf("\n"); - } - System.out.printf("The standard deviation in function values of the vertices of the simplex is %.4f\n", this.SERROR); - System.out.printf("The linearized volume ratio of the current simplex to the starting one is %.4f\n", this.VRATIO); - } - } - - //This is how to use NAG supplied function as argument - public static class defMonit extends E04CBK implements E04CB.E04CB_MONIT{ - public void eval(){ - super.eval(); - } - } -} diff --git a/simple_examples/int32/E04FCJE.java b/simple_examples/int32/E04FCJE.java deleted file mode 100644 index 939f68d..0000000 --- a/simple_examples/int32/E04FCJE.java +++ /dev/null @@ -1,420 +0,0 @@ -import com.nag.routines.E04.E04FC; -import com.nag.routines.F06.DDOT; -import com.nag.routines.F06.DGEMV; -import com.nag.routines.X02.X02AJ; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.IOException; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * E04FC example program text. - * @author ludovic - */ -public class E04FCJE { - - public static void main(String[] args) { - - BufferedReader dataIn = null; - - try { - E04FC e04fc = new E04FC(); - System.out.println(" E04FCJ Example Program Results"); - dataIn = new BufferedReader(new FileReader(args[0])); - //skip header - dataIn.readLine(); - - int inc1 = 1, liw = 1, m, ldfjac = m = 15, n, ldv = n = 3, nt = 3, - lw = 6 * n + m * n + 2 * m + n * (n - 1) / 2; - String trans = "T"; - - double eta, fsumsq, stepmx, xtol; - eta = fsumsq = stepmx = xtol = Double.NaN; - int ifail, iprint, maxcal, nf, niter; - ifail = iprint = maxcal = nf = niter = 0; - double[] fjac = new double[m * n], - fvec = new double[m], - g = new double[n], - s = new double[n], - v = new double[ldv * n], - w = new double[lw], - x = new double[n], - y = new double[m], - t = new double[m * nt]; - - - int[] iw = new int[liw]; - - for (int i = 0; i < m; ++i) { - String[] line = dataIn.readLine().trim().split("\\s+"); - if (line.length != nt + 1) { - System.err.println("Error in data file - only " + line.length - + " records at line " + (i + 2) + " while expecting " + (nt + 1) - + " elements"); - System.exit(1); - } - y[i] = Double.parseDouble(line[0].replaceAll("D", "E")); // java doesn't know the D format - for (int j = 1; j <= nt; ++j) { - t[i + (j - 1) * m] = Double.parseDouble(line[j].replaceAll("D", "E")); - } - } - - // Set IPRINT to 1 to obtain output from LSQMON at each iteration - iprint = -1; - - maxcal = 400 * n; - eta = 0.5; - xtol = 10.0 * Math.sqrt((new X02AJ()).eval()); - - // We estimate that the minimum will be within 10 units of the starting point - stepmx = 10.0; - - // Set up the starting point - x[0] = 0.5; - x[1] = 1.0; - x[2] = 1.5; - - ifail = -1; - - LSQFUN lsqfun = new LSQFUN(); - lsqfun.t = t; - lsqfun.y = y; - LSQMON lsqmon = new LSQMON(); - - e04fc.eval(m, n, lsqfun, lsqmon, iprint, maxcal, eta, xtol, stepmx, x, fsumsq, - fvec, fjac, ldfjac, s, v, ldv, niter, nf, iw, liw, w, lw, ifail); - - ifail = e04fc.getIFAIL(); - - - switch (ifail) { - case (1): - System.err.println("Unexpected ifail = " + ifail); - break; - default: - System.out.println(); - System.out.printf(" On exit, the sum of squares is %12.4f\n", e04fc.getFSUMSQ()); - System.out.printf(" at the point %12.4f %12.4f %12.4f\n", x[0], x[1], x[2]); - lsqgrd(m, n, fvec, fjac, ldfjac, g); - System.out.print(" The estimated gradient is "); - for (int i = 0; i < n; ++i) { - System.out.printf(" %12.3e\t", g[i]); - } - System.out.println(); - System.out.println(" (machine dependent)"); - System.out.println(" and the residuals are"); - for (int i = 0; i < m; ++i) { - System.out.printf(" %9.1e\n", fvec[i]); - } - } - - - - } - catch (Exception ex) { - Logger.getLogger(E04FCJE.class.getName()).log(Level.SEVERE, null, ex); - } - finally { - try { - dataIn.close(); - } - catch (IOException ex) { - Logger.getLogger(E04FCJE.class.getName()).log(Level.SEVERE, null, ex); - } - } - - - } - - public static void lsqgrd(int m, int n, double[] fvec, double[] fjac, int ldfjac, double[] g) { - DGEMV dgemv = new DGEMV("T", m, n, 1.0, fjac, ldfjac, fvec, 1, 0.0, g, 1); - dgemv.eval(); - for (int i = 0; i < g.length; ++i) { - g[i] = 2.0 * g[i]; - } - } - - public static class LSQFUN implements E04FC.E04FC_LSQFUN { - - public double[] t, y; - int IFLAG, M, N, LW, LIW; - double[] XC, FVEC, W; - int[] IW; - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void setM(int M) { - this.M = M; - } - - @Override - public int getM() { - return M; - } - - @Override - public void setN(int N) { - this.N = N; - } - - @Override - public int getN() { - return N; - } - - @Override - public void setXC(double[] XC) { - this.XC = XC; - } - - @Override - public double[] getXC() { - return XC; - } - - @Override - public void setFVEC(double[] FVEC) { - this.FVEC = FVEC; - } - - @Override - public double[] getFVEC() { - return FVEC; - } - - @Override - public void setIW(int[] IW) { - this.IW = IW; - } - - @Override - public int[] getIW() { - return IW; - } - - @Override - public void setLIW(int LIW) { - this.LIW = LIW; - } - - @Override - public int getLIW() { - return LIW; - } - - @Override - public void setW(double[] W) { - this.W = W; - } - - @Override - public double[] getW() { - return W; - } - - @Override - public void setLW(int LW) { - this.LW = LW; - } - - @Override - public int getLW() { - return LW; - } - - @Override - public void eval(int IFLAG, int M, int N, double[] XC, double[] FVEC, - int[] IW, int LIW, double[] W, int LW) { - for (int i = 0; i < M; ++i) { - FVEC[i] = XC[0] + t[i] / (XC[1] * t[i + M] + XC[2] * t[i + 2 * M]) - y[i]; - } - } - - } - - public static class LSQMON implements E04FC.E04FC_LSQMON { - - int M, N, LDFJAC, NITER, NF, IGRADE, LIW, LW; - int[] IW; - double[] XC, FVEC, FJAC, S, W; - - @Override - public void setM(int M) { - this.M = M; - } - - @Override - public int getM() { - return M; - } - - @Override - public void setN(int N) { - this.N = N; - } - - @Override - public int getN() { - return N; - } - - @Override - public void setXC(double[] XC) { - this.XC = XC; - } - - @Override - public double[] getXC() { - return XC; - } - - @Override - public void setFVEC(double[] FVEC) { - this.FVEC = FVEC; - } - - @Override - public double[] getFVEC() { - return FVEC; - } - - @Override - public void setFJAC(double[] FJAC) { - this.FJAC = FJAC; - } - - @Override - public double[] getFJAC() { - return FJAC; - } - - @Override - public void setLDFJAC(int LDFJAC) { - this.LDFJAC = LDFJAC; - } - - @Override - public int getLDFJAC() { - return LDFJAC; - } - - @Override - public void setS(double[] S) { - this.S = S; - } - - @Override - public double[] getS() { - return S; - } - - @Override - public void setIGRADE(int IGRADE) { - this.IGRADE = IGRADE; - } - - @Override - public int getIGRADE() { - return IGRADE; - } - - @Override - public void setNITER(int NITER) { - this.NITER = NITER; - } - - @Override - public int getNITER() { - return NITER; - } - - @Override - public void setNF(int NF) { - this.NF = NF; - } - - @Override - public int getNF() { - return NF; - } - - @Override - public void setIW(int[] IW) { - this.IW = IW; - } - - @Override - public int[] getIW() { - return IW; - } - - @Override - public void setLIW(int LIW) { - this.LIW = LIW; - } - - @Override - public int getLIW() { - return LIW; - } - - @Override - public void setW(double[] W) { - this.W = W; - } - - @Override - public double[] getW() { - return W; - } - - @Override - public void setLW(int LW) { - this.LW = LW; - } - - @Override - public int getLW() { - return LW; - } - - @Override - public void eval(int M, int N, double[] XC, double[] FVEC, double[] FJAC, - int LDFJAC, double[] S, int IGRADE, int NITER, int NF, int[] IW, - int LIW, double[] W, int LW) { - - int ndec = 3; - double fsumsq, gtg; - double[] g = new double[ndec]; - DDOT ddot = new DDOT(M, FVEC, 1, FVEC, 1); - fsumsq = ddot.eval(); - - lsqgrd(M, N, FVEC, FJAC, LDFJAC, g); - - gtg = ddot.eval(N, g, 1, g, 1); - // 99998 Format (1X,1P,E13.5,10X,1P,E9.1,10X,1P,E9.1) - System.out.println(); - System.out.println(" Itn F evals SUMSQ GTG Grade"); - System.out.printf(" %4d %5d %13.5e %9.1e %3d\n", - NITER, NF, fsumsq, gtg, IGRADE); - System.out.println(); - System.out.println(" X G Singular values"); - for (int j = 0; j < N; ++j) { - System.out.printf(" %13.5e %9.1e %9.1e\n",XC[j], g[j], S[j]); - } - - } - - } - -} diff --git a/simple_examples/int32/E04FFJE.java b/simple_examples/int32/E04FFJE.java deleted file mode 100644 index ad81e32..0000000 --- a/simple_examples/int32/E04FFJE.java +++ /dev/null @@ -1,140 +0,0 @@ -import com.nag.routines.E04.E04FF; -import com.nag.routines.E04.E04FFU; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RH; -import com.nag.routines.E04.E04RM; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04ZM; -import java.util.Arrays; - -/** - * E04FF example program text. - * @author joed - */ -public class E04FFJE { - - public static void main(String[] args) { - double infbnd = 1.0e20; - double[] lx, rx, ux, x, ruser, pdy, pdz; - double[] rinfo = new double[100], stats = new double[100]; - int ifail, isparse, nnzrd, nres, nvar, pdny, pdnz; - int[] iuser; - int[] icolrd = new int[1], irowrd = new int[1]; - long cpuser, handle; // c_ptr - MONIT monit = new MONIT(); - OBJFUN objfun = new OBJFUN(); - - /* Header */ - System.out.printf(" E04FFJ Example Program Results\n\n"); - - /* Fill problem data structure */ - pdny = 11; - pdnz = 11; - pdy = new double[] { - 4.0e0, 2.0e0, 1.0e0, 5.0e-1, 2.5e-1, 1.67e-1, 1.25e-1, 1.0e-1, - 8.33e-2, 7.14e-2, 6.25e-2 - }; - pdz = new double[] { - 1.957e-1, 1.947e-1, 1.735e-1, 1.6e-1, 8.44e-2, 6.27e-2, 4.56e-2, - 3.42e-2, 3.23e-2, 2.35e-2, 2.46e-2 - }; - nvar = 4; - nres = 11; - - /* Initialize handle */ - E04RA e04ra = new E04RA(); - handle = 0; - ifail = 0; // hard fail - e04ra.eval(handle, nvar, ifail); - handle = e04ra.getHANDLE(); - - /* Define residuals structure */ - E04RM e04rm = new E04RM(); - isparse = 0; // Dense => irowrd and icolrd are not accessed - nnzrd = 1; - ifail = 0; - e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); - - /* Set options */ - E04ZM e04zm = new E04ZM(); - ifail = 0; - e04zm.eval(handle, "DFLS Trust Region Tolerance = 5.0e-6", ifail); - ifail = 0; - e04zm.eval(handle, "Print Solution = YES", ifail); - - /* Define starting point */ - x = new double[] {0.25, 0.39, 0.415, 0.39}; - rx = new double[nres]; - - /* Define bounds for the second and the fourth variable */ - E04RH e04rh = new E04RH(); - lx = new double[] {-infbnd, 0.2, -infbnd, 0.3}; - ux = new double[] {infbnd, 1.0, infbnd, infbnd}; - ifail = 0; - e04rh.eval(handle, nvar, lx, ux, ifail); - - /* Call the solver */ - E04FF e04ff = new E04FF(); - ifail = -1; - iuser = new int[] {pdny, pdnz}; - ruser = new double[2 * nres]; - cpuser = 0L; - for (int i = 0; i < nres; i++) { - ruser[i] = pdy[i]; - ruser[nres + i] = pdz[i]; - } - e04ff.eval(handle, objfun, monit, nvar, x, nres, rx, rinfo, stats, - iuser, ruser, cpuser, ifail); - - /* Free handle memory */ - E04RZ e04rz = new E04RZ(); - ifail = 0; - e04rz.eval(handle, ifail); - - } - - public static class OBJFUN extends E04FF.Abstract_E04FF_OBJFUN { - - public void eval() { - int pdny, pdnz; - double r1, r2; - double[] pdy, pdz; - - /* Interrupt solver if the dimensions are incorrect */ - if (this.NRES != 11 || this.NVAR != 4) { - this.INFORM = -1; - return; - } - - /* Extract the problem data structure from the workspaces */ - pdny = this.IUSER[0]; - pdnz = this.IUSER[1]; - if (pdny != this.NRES || pdnz != this.NRES) { - this.INFORM = -1; - return; - } - pdy = Arrays.copyOfRange(this.RUSER, 0, pdny); - pdz = Arrays.copyOfRange(this.RUSER, pdny, pdny + pdnz); - - for (int i = 0; i < this.NRES; i++) { - r1 = pdy[i] * (pdy[i] + this.X[1]); - r2 = pdy[i] * (pdy[i] + this.X[2]) + this.X[3]; - this.RX[i] = pdz[i] - (this.X[0] * r1/r2); - } - - } - - } - - public static class MONIT extends E04FF.Abstract_E04FF_MONIT { - - public void eval() { - E04FFU e04ffu = new E04FFU(); - e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, - this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ffu.getINFORM(); - } - - } - -} diff --git a/simple_examples/int32/E04GBJE.java b/simple_examples/int32/E04GBJE.java deleted file mode 100644 index 7becf21..0000000 --- a/simple_examples/int32/E04GBJE.java +++ /dev/null @@ -1,183 +0,0 @@ -import com.nag.routines.A00.A00AA; -import com.nag.routines.E04.E04GB; -import com.nag.routines.E04.E04HEV; -import com.nag.routines.E04.E04YA; -import com.nag.routines.F06.DDOT; -import com.nag.routines.F06.F06PA; -import com.nag.routines.X02.X02AJ; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * E04GB example program text. - */ -public class E04GBJE { - - public static final int inc1 = 1, liw = 1, m = 15, n = 3, nt = 3; - public static final int ldfjac = m, ldv = n, lw = 7*n + m*n + 2*m + n*n; - public static final String trans = "T"; - public static double[] y; - public static double[] t; - - public static void main(String[] args) { - - double eta, fsumq = 0.0, stepmx, xtol; - int ifail, iprint, maxcal, nf = 0, niter = 0; - double[] fjac = new double[ldfjac * n]; - double[] fvec = new double[m]; - double[] g = new double[n]; - double[] s = new double[n]; - double[] v = new double[ldv * n]; - double[] w = new double[lw * n]; - double[] x = new double[n]; - int[] iw = new int[liw]; - - System.out.println(" E04GBJ Example Program Results"); - - // Data - y = new double[] { - 0.14, 0.18, 0.22, 0.25, 0.29, 0.32, 0.35, 0.39, 0.37, 0.58, 0.73, - 0.96, 1.34, 2.10, 4.39 - }; - - t = new double[m * nt]; - for (int i = 0; i < m; i++) { - t[i] = i + 1.0; - t[m + i] = 15.0 - i; - t[2*m + i] = -Math.abs(i - 7.0) + 8.0; - } - - // Check LSQFUN by calling E04YA at an arbitrary point - E04YA e04ya = new E04YA(); - LSQFUN lsqfun = new LSQFUN(); - x[0] = 0.19; - x[1] = -.34; - x[2] = 0.88; - ifail = 0; - e04ya.eval(m, n, lsqfun, x, fvec, fjac, ldfjac, iw, liw, w, lw, ifail); - - // Continue setting parameters for E04GB - E04GB e04gb = new E04GB(); - LSQMON lsqmon = new LSQMON(); - LSQLIN lsqlin = new LSQLIN(); - iprint = -1; // Set to 1 to obtain output from LSQMON at each iteration - maxcal = 50 * n; - eta = 0.09; // Since E04HEV is being used as LSQLIN - xtol = 10.0 * Math.sqrt((new X02AJ()).eval()); - stepmx = 10.0; - - // Set up the starting point - x[0] = 0.5; - x[1] = 1.0; - x[2] = 1.5; - - ifail = -1; - e04gb.eval(m, n, lsqlin, lsqfun, lsqmon, iprint, maxcal, eta, xtol, - stepmx, x, fsumq, fvec, fjac, ldfjac, s, v, ldv, niter, nf, iw, - liw, w, lw, ifail); - fsumq = e04gb.getFSUMSQ(); - x = e04gb.getX(); - ifail = e04gb.getIFAIL(); - - if (ifail == 0 || ifail >= 2) { - System.out.println(); - System.out.printf(" On exit, the sum of squares is %12.4f\n", fsumq); - System.out.printf(" at the point "); - for (int ii = 0; ii < n; ++ii) { - System.out.printf("%12.4f", x[ii]); - } - System.out.println(); - - lsqmon.lsqgrd(m, n, fvec, fjac, ldfjac, g); - - System.out.print(" The corresponding gradient is"); - for (int ii = 0; ii < n; ++ii) { - System.out.printf("%12.3E", g[ii]); - } - System.out.println(); - System.out.println(" (machine dependent)"); - System.out.println(" and the residuals are"); - for (int ii = 0; ii < m; ++ii) { - System.out.printf(" %9.1E\n", fvec[ii]); - } - System.out.println(); - } - - } - - /** Routine to evaluate the residuals and their 1st derivatives. */ - public static class LSQFUN extends E04GB.Abstract_E04GB_LSQFUN implements E04YA.E04YA_LSQFUN { - - public void eval() { - double denom, dummy; - - for (int i = 0; i < m; i++) { - denom = this.XC[1] * t[i + this.M] + this.XC[2] * t[i + 2*this.M]; - this.FVEC[i] = this.XC[0] + t[i] / denom - y[i]; - - if (this.IFLAG != 0) { - this.FJAC[i] = 1.0; - dummy = -1.0 / (denom * denom); - this.FJAC[i + ldfjac] = t[i] * t[i + this.M] * dummy; - this.FJAC[i + 2*ldfjac] = t[i] * t[i + 2*this.M] * dummy; - } - } - - } - - } - - public static class LSQMON extends E04GB.Abstract_E04GB_LSQMON { - - public static final int ndec = 3; - - /** Monitoring routine. */ - public void eval() { - double fsumsq, gtg; - double[] g = new double[ndec]; - DDOT ddot = new DDOT(); - - fsumsq = ddot.eval(this.M, this.FVEC, inc1, this.FVEC, inc1); - this.lsqgrd(this.M, this.N, this.FVEC, this.FJAC, this.LDFJAC, g); - gtg = ddot.eval(this.N, g, inc1, g, inc1); - - System.out.println(); - System.out.println(" Itn F evals SUMSQ GTG Grade"); - System.out.printf(" %4d %5d %13.5E %9.1E %3d\n", - this.NITER, this.NF, fsumsq, gtg, this.IGRADE); - System.out.println(); - System.out.println(" X G Singular values"); - for (int j = 0; j < n; j++) { - System.out.printf(" %13.5E %9.1E %9.1E\n", - this.XC[j], g[j], this.S[j]); - } - - } - - /** Routine to evaluate gradient of the sum of squares. */ - public void lsqgrd(int m, int n, double[] fvec, double[] fjac, int ldfjac, double[] g) { - F06PA f06pa = new F06PA(trans, m, n, 1.0, fjac, ldfjac, fvec, inc1, 0.0, g, inc1); - f06pa.eval(); - - for (int i = 0; i < n; ++i) { - g[i] = 2.0 * g[i]; - } - - } - - } - - /** Using E04HEV as LSQLIN. */ - private static class LSQLIN extends E04HEV implements E04GB.E04GB_LSQLIN { - - public void eval() { - super.eval(); - } - - } - -} diff --git a/simple_examples/int32/E04GGJE.java b/simple_examples/int32/E04GGJE.java deleted file mode 100644 index 8a18c6a..0000000 --- a/simple_examples/int32/E04GGJE.java +++ /dev/null @@ -1,219 +0,0 @@ -import com.nag.routines.E04.E04FFU; -import com.nag.routines.E04.E04GG; -import com.nag.routines.E04.E04GGV; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RH; -import com.nag.routines.E04.E04RM; -import com.nag.routines.E04.E04RX; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04ZM; - -/** - * E04GG example program text. - */ -public class E04GGJE { - - public static void main(String[] args) { - - final double infbnd = 1.0e20; - - long cpuser = 0, handle = 0; - int ifail, isparse, nnzrd, nres, nvar; - - double[] blx, bux, ruser, rx, x, z; - double[] rinfo = new double[100], stats = new double[100]; - int[] icolrd = new int[1], irowrd = new int[1], iuser = new int[1]; - - /* Header */ - System.out.println(" E04GGJ Example Program Results\n"); - - nvar = 6; - nres = 24; - // ruser = new double[2*nres]; - // Data from Lanczos 3 Problem - ruser = new double[] { - // t(:) = - 0.0e0, 5.0e-2, 1.0e-1, 1.5e-1, 2.0e-1, 2.5e-1, 3.0e-1, 3.5e-1, - 4.0e-1, 4.5e-1, 5.0e-1, 5.5e-1, 6.0e-1, 6.5e-1, 7.0e-1, 7.5e-1, - 8.0e-1, 8.5e-1, 9.0e-1, 9.5e-1, 1.0e0, 1.05e0, 1.10e0, 1.15e0, - // y(:) = - 2.5134, 2.0443, 1.6684, 1.3664, 1.1232, 0.9269, 0.7679, 0.6389, - 0.5338, 0.4479, 0.3776, 0.3197, 0.2720, 0.2325, 0.1997, 0.1723, - 0.1493, 0.1301, 0.1138, 0.1000, 0.0883, 0.0783, 0.0698, 0.0624 - }; - - iuser[0] = 0; - - // Initialize handle - ifail = 0; - E04RA e04ra = new E04RA(); - e04ra.eval(handle, nvar, ifail); - handle = e04ra.getHANDLE(); - - // Define residuals structure, isparse=0 means the residual structure is - // dense => irowrd and icolrd are not accessed - isparse = 0; - nnzrd = 0; - E04RM e04rm = new E04RM(); - e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); - - // Set options - E04ZM e04zm = new E04ZM(); - e04zm.eval(handle, "BXNL Use Second Derivatives = Yes",ifail); - e04zm.eval(handle, "BXNL Model = Gauss-Newton",ifail); - e04zm.eval(handle, "BXNL Glob Method = Reg",ifail); - // Change printed output verbosity - e04zm.eval(handle, "Print Level = 1",ifail); - - // Define starting point - rx = new double[nres]; - z = new double[nvar]; - // x = new double[nvar]; - x = new double[] { - 1.2, 0.3, 5.6, 5.5, 6.5, 7.6 - }; - - // Define bounds - blx = new double[nvar]; - bux = new double[nvar]; - blx[0] = 0.0; - bux[0] = 1.0; - blx[1] = -1.0; - bux[1] = infbnd; - blx[2] = -1.0; - bux[2] = infbnd; - blx[3] = -1.0; - bux[3] = infbnd; - blx[4] = -1.0; - bux[4] = 1.0; - blx[5] = -1.0; - bux[5] = 10.0; - E04RH e04rh = new E04RH(); - e04rh.eval(handle, nvar, blx, bux, ifail); - - // Call the solver - ifail = -1; - E04GG e04gg = new E04GG(); - LSQFUN lsqfun = new LSQFUN(); - LSQGRD lsqgrd = new LSQGRD(); - LSQHES lsqhes = new LSQHES(); - LSQHPRD lsqhprd = new LSQHPRD(); - MONIT monit = new MONIT(); - - e04gg.eval(handle,lsqfun,lsqgrd,lsqhes,lsqhprd,monit,nvar,x,nres,rx,rinfo,stats,iuser,ruser,cpuser,ifail); - ifail = e04gg.getIFAIL(); - - // Recover latest iterate from handle if available - if (ifail == 0) { - ifail = -1; - E04RX e04rx = new E04RX(); - e04rx.eval(handle,"X",1,nvar,z,ifail); - ifail = e04rx.getIFAIL(); - if (ifail == 0) { - System.out.println("\nSolver stored solution iterate in the handle"); - System.out.print("X: "); - for (int i = 0; i < nvar; i++){ - System.out.printf("%8.2E ", z[i]); - } - System.out.println(); - } - } - - // Free the handle memory - ifail = 0; - E04RZ e04rz = new E04RZ(); - e04rz.eval(handle, ifail); - - } - - public static class LSQFUN extends E04GG.Abstract_E04GG_LSQFUN { - - public void eval() { - for (int i = 0; i < this.NRES; i++){ - this.RX[i] = 0.0; - } - - for (int i = 0; i < this.NRES; i++){ - this.RX[i] = this.RUSER[this.NRES + i] - this.X[0] * Math.exp(-this.X[1] * this.RUSER[i]) - - this.X[2] * Math.exp(-this.X[3] * this.RUSER[i]) - this.X[4] * Math.exp(-this.X[5] * this.RUSER[i]); - } - - this.INFORM = 0; - } - } - - public static class LSQGRD extends E04GG.Abstract_E04GG_LSQGRD { - - public void eval() { - int i; - - for (i = 0; i < this.RDX.length; i++) { - this.RDX[i] = 0; - } - - for (i = 0; i < this.NRES; i++) { - this.RDX[i * this.NVAR + 0] = -Math.exp(-this.X[1] * this.RUSER[i]); - this.RDX[i * this.NVAR + 1] = this.RUSER[i] * this.X[0] * Math.exp(-this.X[1] * this.RUSER[i]); - this.RDX[i * this.NVAR + 2] = -Math.exp(-this.X[3] * this.RUSER[i]); - this.RDX[i * this.NVAR + 3] = this.RUSER[i] * this.X[2] * Math.exp(-this.X[3] * this.RUSER[i]); - this.RDX[i * this.NVAR + 4] = -Math.exp(-this.X[5] * this.RUSER[i]); - this.RDX[i * this.NVAR + 5] = this.RUSER[i] * this.X[4] * Math.exp(-this.X[5] * this.RUSER[i]); - } - - this.INFORM = 0; - } - } - - public static class LSQHES extends E04GG.Abstract_E04GG_LSQHES { - - public void eval() { - for (int i = 0; i < this.NVAR * this.NVAR; i++) { - this.HX[i] = 0.0; - } - - double sum21 = 0.0, sum22 = 0.0, sum43 = 0.0, sum44 = 0.0, sum65 = 0.0, sum66 = 0.0; - - for (int i = 0; i < this.NRES; i++){ - sum21 = sum21 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[1] * this.RUSER[i])); - sum22 = sum22 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[0] * Math.exp(-this.X[1] * this.RUSER[i])); - sum43 = sum43 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[3] * this.RUSER[i])); - sum44 = sum44 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[2] * Math.exp(-this.X[3] * this.RUSER[i])); - sum65 = sum65 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[5] * this.RUSER[i])); - sum66 = sum66 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[4] * Math.exp(-this.X[5] * this.RUSER[i])); - } - - this.HX[(2-1) + (1-1) * this.NVAR] = sum21; - this.HX[(1-1) + (2-1) * this.NVAR] = this.HX[(2-1) + (1-1) * this.NVAR]; - this.HX[(2-1) + (2-1) * this.NVAR] = sum22; - this.HX[(4-1) + (3-1) * this.NVAR] = sum43; - this.HX[(3-1) + (4-1) * this.NVAR] = this.HX[(4-1) + (3-1) * this.NVAR]; - this.HX[(4-1) + (4-1) * this.NVAR] = sum44; - this.HX[(6-1) + (5-1) * this.NVAR] = sum65; - this.HX[(5-1) + (6-1) * this.NVAR] = this.HX[(6-1) + (5-1) * this.NVAR]; - this.HX[(6-1) + (6-1) * this.NVAR] = sum66; - - this.INFORM = 0; - } - } - - public static class MONIT extends E04GG.Abstract_E04GG_MONIT { - - public void eval() { - E04FFU e04ffu = new E04FFU(); - e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, - this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ffu.getINFORM(); - } - } - - public static class LSQHPRD extends E04GG.Abstract_E04GG_LSQHPRD { - - public void eval() { - E04GGV e04ggv = new E04GGV(); - e04ggv.eval(this.NVAR, this.X, this.Y, this.NRES, this.HXY, - this.INFORM, this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ggv.getINFORM(); - } - } - -} diff --git a/simple_examples/int32/E04MTJE.java b/simple_examples/int32/E04MTJE.java deleted file mode 100644 index 6272e91..0000000 --- a/simple_examples/int32/E04MTJE.java +++ /dev/null @@ -1,132 +0,0 @@ -import com.nag.routines.E04.E04MT; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RF; -import com.nag.routines.E04.E04RH; -import com.nag.routines.E04.E04RJ; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04ZM; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.util.Arrays; - -/** - * E04MT example program text. - */ -public class E04MTJE { - - public static void main(String[] args) throws IOException { - - System.out.println(" E04MTJ Example Program Results"); - int m = 7; - int n = 7; - int nnza = 41; - int nnzc = 7; - int nnzu = 2*n + 2*m; - - int[] cindex = {1,2,3,4,5,6,7}; - double[] c = {-0.02,-0.20,-0.20,-0.20,-0.20, 0.04, 0.04}; - int[] irowa = {1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3, - 4,4,4,4,4,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7}; - int[] icola = {1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,4,5,6, - 1,2,3,4,5,1,2,5,1,2,3,4,5,6,1,2,3,4,5,6,7}; - double[] a = {1.00, 1.00, 1.00, 1.00, 1.00, 1.00, 1.00, - 0.15, 0.04, 0.02, 0.04, 0.02, 0.01, 0.03, - 0.03, 0.05, 0.08, 0.02, 0.06, 0.01,0.02, - 0.04, 0.01, 0.02, 0.02,0.02, 0.03, 0.01,0.70, - 0.75, 0.80, 0.75, 0.80, 0.97,0.02, 0.06, 0.08, - 0.12, 0.02, 0.01, 0.97}; - double[] bla = {-0.13,-1.0e20,-1.0e20,-1.0e20,-1.0e20, - -0.0992,-0.003}; - double[] bua = {-0.13,-0.0049,-0.0064,-0.0037,-0.0012, - 1.0e20, 0.002}; - double[] xl = {-0.01,-0.1,-0.01,-0.04,-0.1,-0.01,-0.01}; - double[] xu = {0.01,0.15,0.03,0.02,0.05,1.0e20,1.0e20}; - double[] dArrData = new double[nnza+2*m+3*n+nnzc+nnzu]; - - long handle = 0; - int ifail = 0; - E04RA e04ra = new E04RA(handle,n,ifail); - e04ra.eval(); - - handle = e04ra.getHANDLE(); - - int[] icolh = new int[1]; - int[] irowh = new int[1]; - double[] h = new double[1]; - E04RF e04rf = new E04RF(handle,nnzc,cindex,c,0,irowh,icolh,h,ifail); - e04rf.eval(); - handle = e04ra.getHANDLE(); - - E04RH e04rh = new E04RH(handle,n,xl,xu,ifail); - e04rh.eval(); - handle = e04rh.getHANDLE(); - - int idlc = 0; - E04RJ e04rj = new E04RJ(handle,m,bla,bua,nnza,irowa,icola,a,idlc,ifail); - e04rj.eval(); - handle = e04rj.getHANDLE(); - - E04ZM e04zm = new E04ZM(handle,"LPIPM Monitor Frequency = 1",ifail); - e04zm.eval(); - e04zm.setOPTSTR("LPIPM Stop Tolerance = 1.0e-10"); - e04zm.eval(); - e04zm.setOPTSTR("Print Solution = YES"); - e04zm.eval(); - e04zm.setOPTSTR("Print Options = NO"); - e04zm.eval(); - e04zm.setOPTSTR("LPIPM Centrality Correctors = -6"); - e04zm.eval(); - handle = e04zm.getHANDLE(); - - long cpuser = 2; - int[] iuser = {1}; - double[] ruser = new double[1]; - ifail = -1; - MONIT monit = new MONIT(); - double[] x = new double[n], u = new double[nnzu]; - double[] rinfo = new double[100], stats = new double[100]; - System.out.println(); - System.out.println("++++++++++ Use the Primal-Dual algorithm ++++++++++"); - E04MT e04mt = new E04MT(handle,n,x,nnzu,u,rinfo,stats, - monit,iuser,ruser,cpuser,ifail); - e04mt.eval(); - System.out.println(); - System.out.println("++++++++++ Use the Self-Dual algorithm ++++++++++"); - e04zm.setOPTSTR("LPIPM Algorithm = Self-Dual"); - e04zm.eval(); - e04zm.setOPTSTR("LPIPM Stop Tolerance 2 = 1.0e-11"); - e04zm.eval(); - iuser[0] = 2; - e04mt.setIFAIL(-1); - e04mt.setHANDLE(e04zm.getHANDLE()); - e04mt.setIUSER(iuser); - e04mt.eval(); - - } - - public static class MONIT extends E04MT.Abstract_E04MT_MONIT { - - public void eval() { - - double tol = 1.2e-8; - - if (IUSER[0] == 1) { - if ((RINFO[4] < tol) && (RINFO[5] < tol) && (RINFO[6] < tol)) { - System.out.println("Iteration " + Integer.toString((int)STATS[0])); - System.out.printf(" monit() reports good approximate solution (tol = %5.2E):\n", tol); - } - } - else { - if ((RINFO[14] < tol) && (RINFO[15] < tol) && (RINFO[16] < tol) && (RINFO[17] < tol)) { - System.out.println("Iteration " + Integer.toString((int)STATS[0])); - System.out.printf(" monit() reports good approximate solution (tol = %5.2E):\n", tol); - } - } - - } - - } - -} diff --git a/simple_examples/int32/E04MXJE.java b/simple_examples/int32/E04MXJE.java deleted file mode 100644 index 642a933..0000000 --- a/simple_examples/int32/E04MXJE.java +++ /dev/null @@ -1,292 +0,0 @@ -import com.nag.routines.E04.E04MX; -import com.nag.routines.E04.E04NP; -import com.nag.routines.E04.E04NQ; -import com.nag.routines.E04.E04NS; -import com.nag.routines.E04.E04NT; -import com.nag.routines.X04.X04AC; -import com.nag.routines.X04.X04AD; -import java.util.Arrays; - -/** - * E04MX example program text. - */ -public class E04MXJE { - - public static void main(String[] args) { - - /* Parameters */ - int lencw = 600, leniw = 600, lenrw = 600, mpslst = 1, nin = 7, nout = 6; - boolean readints = false; - String fname = args[0]; - /* Local Scalars */ - double obj, objadd, sinf; - int i, ifail, iobj, lenc, lintvar, m, maxlintvar, maxm, maxn, maxncolh, - maxnnz, maxnnzh, minmax, mode, n, ncolh, ninf, nname, nnz, nnzh, ns; - boolean verboseOutput; - String start; - /* Local Arrays */ - double[] a, bl, bu, c, h, pi, rc, ruser, rw, x; - int[] helast, hs, iccola, iccolh, intvar, irowa, irowh, iuser, iw; - String[] crname, cw; - String[] cuser = new String[1], pnames = new String[5]; - cuser[0] = " "; - for (int j = 0; j < 5; j++) { - pnames[j] = " "; - } - - System.out.println(" E04MXJ Example Program Results"); - - // Initialize - for (int j = 0; j < 5; j++) { - pnames[j] = " "; - } - maxm = 0; - maxn = 0; - maxnnz = 0; - maxnnzh = 0; - maxncolh = 0; - maxlintvar = 0; - - // Open the data file for reading - X04AC x04ac = new X04AC(); - mode = 0; - ifail = 0; - x04ac.eval(nin, fname, mode, ifail); - - // Prep call to E04MX in query mode - E04MX e04mx = new E04MX(); - a = new double[1]; - irowa = new int[1]; - iccola = new int[1]; - bl = new double[1]; - bu = new double[1]; - crname = new String[]{" "}; - h = new double[1]; - irowh = new int[1]; - iccolh = new int[1]; - intvar = new int[1]; - ifail = 0; - - // Placeholders for output only scalars - n = 0; - m = 0; - nnz = 0; - ncolh = 0; - nnzh = 0; - lintvar = 0; - iobj = 0; - nname = 0; - minmax = 0; - - // Make call to E04MX - e04mx.eval(nin, maxn, maxm, maxnnz, maxncolh, maxnnzh, maxlintvar, - mpslst, n, m, nnz, ncolh, nnzh, lintvar, iobj, a, irowa, - iccola, bl, bu, pnames, nname, crname, h, irowh, iccolh, - minmax, intvar, ifail); - - // Get output scalar values - n = e04mx.getN(); - m = e04mx.getM(); - nnz = e04mx.getNNZ(); - ncolh = e04mx.getNCOLH(); - nnzh = e04mx.getNNZH(); - lintvar = e04mx.getLINTVAR(); - iobj = e04mx.getIOBJ(); - nname = e04mx.getNNAME(); - minmax = e04mx.getMINMAX(); - ifail = e04mx.getIFAIL(); - - // Close file - X04AD x04ad = new X04AD(); - ifail = 0; - x04ad.eval(nin, ifail); - - // Set maxm, maxn and maxnnz - maxm = m; - maxn = n; - maxnnz = nnz; - maxnnzh = nnzh; - maxncolh = ncolh; - maxlintvar = (readints) ? lintvar : 1; - - // Allocate memory - irowa = new int[maxnnz]; - iccola = new int[maxn + 1]; - a = new double[maxnnz]; - bl = new double[maxn + maxm]; - bu = new double[maxn + maxm]; - crname = new String[maxn + maxm]; - for (int j = 0; j < (maxn + maxm); j++) { - crname[j] = " "; - } - irowh = new int[maxnnzh]; - iccolh = new int[maxncolh + 1]; - h = new double[maxnnzh]; - intvar = new int[maxlintvar]; - - // Open the data file for reading - mode = 0; - ifail = 0; - x04ac.eval(nin, fname, mode, ifail); - - // Call E04MX to read the problem - ifail = 0; - e04mx.eval(nin, maxn, maxm, maxnnz, maxncolh, maxnnzh, maxlintvar, - mpslst, n, m, nnz, ncolh, nnzh, lintvar, iobj, a, irowa, - iccola, bl, bu, pnames, nname, crname, h, irowh, iccolh, - minmax, intvar, ifail); - n = e04mx.getN(); - m = e04mx.getM(); - nnz = e04mx.getNNZ(); - ncolh = e04mx.getNCOLH(); - nnzh = e04mx.getNNZH(); - lintvar = e04mx.getLINTVAR(); - iobj = e04mx.getIOBJ(); - nname = e04mx.getNNAME(); - minmax = e04mx.getMINMAX(); - ifail = e04mx.getIFAIL(); - - // Close the data file - ifail = 0; - x04ad.eval(nin, ifail); - - /* Data has been read. Set up and run the solver */ - - iw = new int[leniw]; - rw = new double[lenrw]; - cw = new String[lencw]; - for (int j = 0; j < lencw; j++) { - cw[j] = " "; - } - - // Call E04NP to initialize workspace - E04NP e04np = new E04NP(); - ifail = 0; - e04np.eval(cw, lencw, iw, leniw, rw, lenrw, ifail); - - // Call option setter E04NS to change the direction of optimization. - // Minimization is assumed by default. - E04NS e04ns = new E04NS(); - if (minmax == 1) { - ifail = 0; - e04ns.eval("Maximize", cw, iw, rw, ifail); - } - else if (minmax == 0) { - ifail = 0; - e04ns.eval("Feasible Point", cw, iw, rw, ifail); - } - - // Set this to TRUE to cause E04NQ to produce intermediate progress output - verboseOutput = false; - - if (verboseOutput) { - // By default E04NQ does not print monitoring information. Set the print - // file unit or the summary file unit to get information. - E04NT e04nt = new E04NT(); - ifail = 0; - e04nt.eval("Print file", nout, cw, iw, rw, ifail); - } - else { - System.out.printf(" \n Problem contains %3d variables and %3d linear constraints\n", n, m); - } - - // We have no explicit objective vector so set LENC = 0; the objective vector - // is stored in row IOBJ of ACOL. - lenc = 0; - objadd = 0.0; - start = "C"; - - c = new double[Math.max(1, lenc)]; - helast = new int[n + m]; - x = new double[n + m]; - pi = new double[m]; - rc = new double[n + m]; - hs = new int[n + m]; - iuser = new int[ncolh + 1 + nnzh]; - ruser = new double[nnzh]; - - if (ncolh > 0) { - // Store the non zeros of H in ruser for use by qphx - for (int j = 0; j < nnzh; j++) { - ruser[j] = h[j]; - } - // Store iccolh and irowh in iuser for use by qphx - for (int j = 0; j < ncolh + 1; j++) { - iuser[j] = iccolh[j]; - } - for (int j = 0; j < nnzh; j++) { - iuser[j + ncolh + 1] = irowh[j]; - } - - } - - // Call E04NQ to solve the problem - E04NQ e04nq = new E04NQ(); - QPHX qphx = new QPHX(); - ns = 0; - ninf = 0; - sinf = 0.0; - obj = 0.0; - ifail = 0; - e04nq.eval(start, qphx, m, n, nnz, nname, lenc, ncolh, iobj, objadd, - pnames[0], a, irowa, iccola, bl, bu, c, crname, helast, hs, - x, pi, rc, ns, ninf, sinf, obj, cw, lencw, iw, leniw, rw, - lenrw,cuser,iuser,ruser,ifail); - ns = e04nq.getNS(); - ninf = e04nq.getNINF(); - sinf = e04nq.getSINF(); - obj = e04nq.getOBJ(); - ifail = e04nq.getIFAIL(); - - if (!verboseOutput) { - System.out.println(); - System.out.printf(" Final objective value = %11.3E\n", obj); - System.out.printf(" Optimal X = \n"); - System.out.printf(" "); - for (int j = 0; j < n; j++) { - System.out.printf("%9.2f", x[j]); - } - System.out.printf("\n"); - } - - } - - public static class QPHX extends E04NQ.Abstract_E04NQ_QPHX { - - /** - * Subroutine to compute H*x. - * Note: IUSER and RUSER contain the following data: - * RUSER(1:NNZH) = H(1:NNZH) - * IUSER(1:NCOLH+1) = ICCOLH(1:NCOLH+1) - * IUSER(NCOLH+2:NNZH+NCOLH+1) = IROWH(1:NNZH) - */ - public void eval() { - /* Local Scalars */ - int end, icol, idx, irow, start; - - Arrays.fill(HX, 0.0); - - for (icol = 0; icol < this.NCOLH + 1; ++icol) { - - start = this.IUSER[icol] - 1; - end = IUSER[icol+1] - 2; - - for (idx = start; idx < end + 1; ++idx) { - - irow = this.IUSER[this.NCOLH + 1 + idx] - 1; - this.HX[irow] += this.X[icol] * this.RUSER[idx]; - - if (irow != icol) { - this.HX[icol] += this.X[irow] * this.RUSER[idx]; - } - - } - - } - - } - - } - - -} diff --git a/simple_examples/int32/E04NCJE.java b/simple_examples/int32/E04NCJE.java deleted file mode 100644 index d6c3010..0000000 --- a/simple_examples/int32/E04NCJE.java +++ /dev/null @@ -1,246 +0,0 @@ -import static java.lang.Math.max; - -import com.nag.routines.E04.E04NC; -import com.nag.routines.E04.E04WB; -import com.nag.routines.F06.DGEMV; -import java.io.BufferedReader; -import java.io.FileReader; -import java.text.NumberFormat; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * E04NC example program text. - * @author ludovic - */ -public class E04NCJE { - - public static void main(String[] args) { - - double one = 1.0; - double zero = 0.0; - int inc1 = 1, lcwsav = 1, liwsav = 610, - llwsav = 120, lrwsav = 475, nin = 5, - nout = 6; - double obj; - int i, ifail, iter, lda, ldc, liwork, - lwork, m, n, nclin, sdc; - double[] a, b, bl, bu, c, - clamda, cvec, work, x; - double[] rwsav = new double[lrwsav]; - int[] istate, iwork, kx; - int[] iwsav = new int[liwsav]; - boolean[] lwsav = new boolean[llwsav]; - String[] cwsav = new String[lcwsav]; - - System.out.println(" E04NCJ Example Program Results"); - try { - - BufferedReader br = new BufferedReader(new FileReader(args[0])); - String line = br.readLine(); // read the header - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - String[] data = line.split("\\s+"); - m = Integer.parseInt(data[0]); - n = Integer.parseInt(data[1]); - nclin = Integer.parseInt(data[2]); - - liwork = n; - ldc = max(1,nclin); - lda = max(1,m); - - if (nclin > 0) { - sdc = n; - } - else { - sdc = 1; - } - - /* This particular example problem is of type LS1, so we allocate - * A(LDA,N), CVEC(1), B(M) and define LWORK as below - */ - if (nclin > 0) { - lwork = 2*n*n + 9*n + 6*nclin; - } - else { - lwork = 9*n; - } - - /* - * 2Ds arrays (size [n,m]) are stored in 1D arrays of size n*m, ordered by column - * ie: - * 1 1 1 - * 2 2 2 - * 3 3 3 - * - * is stored [1,2,3,1,2,3,1,2,3] - */ - istate = new int[n+nclin]; - kx = new int[n]; - iwork = new int[liwork]; - c = new double[ldc*sdc]; - bl = new double[n+nclin]; - bu = new double[n+nclin]; - cvec = new double[1]; - x = new double[n]; - a = new double[lda * n]; - b = new double[m]; - clamda = new double[n+nclin]; - work = new double[lwork]; - - /* - * Extra arrays to initialize: - */ - for (int ii = 0; ii < cwsav.length; ++ii) { - // 80 characters long... - cwsav[ii] - = " "; - } - - for (int ii = 0; ii < lda; ++ii) { - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - for (int jj = 0; jj < n; ++jj) { - a[lda*jj+ii] = Double.parseDouble(data[jj]); - } - } - - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - - for (int ii = 0; ii < m; ++ii) { - b[ii] = Double.parseDouble(data[ii]); - } - - for (int ii = 0; ii < ldc; ++ii) { - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - for (int jj = 0; jj < sdc; ++jj) { - c[ldc*jj+ii] = Double.parseDouble(data[jj]); - } - } - - //bl and bu to complicated to read properly -> hardcoded - line = br.readLine(); - line = br.readLine(); - bl[0] = 0.0; - bl[1] = 0.0; - bl[2] = -1.0E+25; - bl[3] = 0.0; - bl[4] = 0.0; - bl[5] = 0.0; - bl[6] = 0.0; - bl[7] = 0.0; - bl[8] = 0.0; - bl[9] = 2.0; - bl[10] = -1.0E+25; - bl[11] = 1.0; - - line = br.readLine(); - line = br.readLine(); - bu[0] = 2.0; - bu[1] = 2.0; - bu[2] = 2.0; - bu[3] = 2.0; - bu[4] = 2.0; - bu[5] = 2.0; - bu[6] = 2.0; - bu[7] = 2.0; - bu[8] = 2.0; - bu[9] = 1.0E+25; - bu[10] = 2.0; - bu[11] = 4.0; - - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - for (int ii = 0; ii < n; ++ii) { - x[ii] = Double.parseDouble(data[ii]); - } - - // CALL TO E04WBF - ifail = 0; - String routname = "E04NCA"; - E04WB e04wb = new E04WB(routname, cwsav, lcwsav, lwsav, llwsav, iwsav, liwsav, rwsav, - lrwsav, ifail); - e04wb.eval(); - cwsav = e04wb.getCWSAV(); - iwsav = e04wb.getIWSAV(); - lwsav = e04wb.getLWSAV(); - rwsav = e04wb.getRWSAV(); - - // CALL TO E04NCF - ifail = -1; - - /* Java needs these to be initialized, so set it to an impossible value - * to trap possible error later */ - iter = Integer.MIN_VALUE; - obj = Double.NaN; - - E04NC e04nc = new E04NC(m,n,nclin,ldc,lda,c,bl,bu,cvec,istate,kx,x,a,b,iter,obj, - clamda,iwork,liwork,work,lwork,lwsav,iwsav,rwsav,ifail); - e04nc.eval(); - - // Getting ifail's value back - ifail = e04nc.getIFAIL(); - - switch (ifail) { - case 0: - case 1: - case 2: - case 3: - case 4: - case 5: - case 7: - System.out.println("\n Varbl Istate Value Lagr Mult\n"); - - for (i = 0; i < n; ++i) { - System.out.printf(" V %3d %3d %14.3E %12.3E\n",(i+1), istate[i],x[i], clamda[i]); - } - - if (nclin > 0) { - DGEMV dgemv = new DGEMV(); - dgemv.eval("N",nclin,n,one,c,ldc,x,inc1,zero,work,inc1); - System.out.println("\n\n L Con Istate Value Lagr Mult\n"); - for (int ii = 0; ii < nclin; ++ii) { - System.out.printf(" L %3d %3d %14.3E %12.3E\n", - ii+1,istate[ii+n],work[ii],clamda[ii+n]); - } - } - - System.out.printf("\n\n Final objective value = %15.3E\n",e04nc.getOBJ()); - break; - default: - if (ifail > 7) { - System.out.println(" Varbl Istate Value Lagr Mult"); - for (i = 0; i < n; ++i) { - System.out.printf(" V %3d %3d %14.3E %12.3E)\n",(i+1), istate[i],x[i], clamda[i]); - } - - if (nclin > 0) { - DGEMV dgemv = new DGEMV(); - dgemv.eval("N",nclin,n,one,c,ldc,x,inc1,zero,work,inc1); - System.out.println(" L Con Istate Value Lagr Mult"); - for (int ii = 0; ii < nclin; ++ii) { - System.out.printf(" L %3d %3d %14.3E %12.3E\n", - ii+1,istate[ii+n],work[ii],clamda[ii+n]); - } - } - - System.out.printf("Final objective value is: %15.7f\n",e04nc.getOBJ()); - } - else { - System.out.println("E04NC returned with IFAIL = "+e04nc.getIFAIL()); - } - } - } - catch (Exception ex) { - Logger.getLogger(E04NCJE.class.getName()).log(Level.SEVERE, null, ex); - } - - } - -} diff --git a/simple_examples/int32/E04NFJE.java b/simple_examples/int32/E04NFJE.java deleted file mode 100644 index e341f9f..0000000 --- a/simple_examples/int32/E04NFJE.java +++ /dev/null @@ -1,234 +0,0 @@ -import com.nag.routines.E04.E04NF; -import com.nag.routines.E04.E04NH; -import com.nag.routines.E04.E04WB; -import com.nag.routines.E04.E54NFU; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.text.NumberFormat; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * E04NF example program text. - */ -public class E04NFJE { - - public static void main(String[] args) { - - /* Local Scalars */ - double obj; - int i, ifail, iter, lda, ldh, liwork, lwork, n, nclin, sda; - /* Local Arrays */ - double[] a, ax, bl, bu, clamda, cvec, h, work, x; - int[] istate, iwork; - - try { - - System.out.println(" E04NFJ Example Program Results"); - - if (args.length == 0) { - System.err.println("You need to provide the path to the data file e04nfae.d"); - System.exit(-1); - } - - // Read data from file - DataFile datafile = new DataFile(args[0]); - datafile.read(); - - liwork = 2 * datafile.n + 3; - lda = Math.max(1, datafile.nclin); - - sda = (datafile.nclin > 0) ? datafile.n : 1; - - // This particular example problem is of type QP2 with H stored explicitly, - // so we allocate CVEC(N) and H(LDH,N), and define LDH and LWORK as below - ldh = datafile.n; - - if (datafile.nclin > 0) { - lwork = 2 * datafile.n * datafile.n + 8 * datafile.n + 5 * datafile.nclin; - } - else { - lwork = datafile.n * datafile.n + 8 * datafile.n; - } - - istate = new int[datafile.n + datafile.nclin]; - ax = new double[Math.max(1, datafile.nclin)]; - iwork = new int[liwork]; - // h, bl, bu, cvec, x, a: already read from data file - clamda = new double[datafile.n + datafile.nclin]; - work = new double[lwork]; - - // Init routine - E04WB e04wb = new E04WB(); - int lcwsav = 1, liwsav = 610, llwsav = 120, lrwsav = 475; - String[] cwsav = new String[lcwsav]; - cwsav[0] - = " "; - int[] iwsav = new int[liwsav]; - boolean[] lwsav = new boolean[llwsav]; - double[] rwsav = new double[lrwsav]; - ifail = 0; - e04wb.eval("E04NFA", cwsav, lcwsav, lwsav, llwsav, iwsav, liwsav, rwsav, lrwsav, ifail); - - // Set print level to match E04NFF example output - E04NH e04nh = new E04NH(); - int inform = 0; - e04nh.eval("Print Level = 10", lwsav, iwsav, rwsav, inform); - - // Solve the problem - E04NF e04nf = new E04NF(); - double[] ruser = new double[1]; - int[] iuser = new int[1]; - iter = 0; - obj = Double.NaN; - ifail = 0; - e04nf.eval(datafile.n, datafile.nclin, datafile.a, datafile.lda, datafile.bl, - datafile.bu, datafile.cvec, datafile.h, datafile.ldh, new QPHESS(), istate, - datafile.x, iter, obj, ax, clamda, iwork, liwork, work, lwork, - iuser, ruser, lwsav, iwsav, rwsav, ifail); - - ifail = e04nf.getIFAIL(); - - } - catch (Exception ex) { - Logger.getLogger(E04NFJE.class.getName()).log(Level.SEVERE, null, ex); - } - - } - - /** Using E54NFU as a default. */ - public static class QPHESS extends E54NFU implements E04NF.E04NF_QPHESS { - - public void eval() { - super.eval(); - } - - } - - public static class DataFile { - - public String filename; - public int n, nclin, lda, sda, ldh; - public double[] cvec, a, bl, bu, x, h; - - public DataFile(String filename) { - this.filename = filename; - } - - public void read() throws FileNotFoundException, IOException { - BufferedReader dataIn = new BufferedReader(new FileReader(filename)); - String line = dataIn.readLine(); // skipping header - line = dataIn.readLine().trim(); - String[] lines = line.split(":");//removing comments - String[] dataLine = lines[0].split("\\s+"); - if (dataLine.length != 2) { - System.err.println("Something went wrong when reading the data file" - + " - can't read n and nclin!"); - System.exit(1); - } - n = Integer.parseInt(dataLine[0]); - nclin = Integer.parseInt(dataLine[1]); - - lda = Math.max(1, nclin); - - if (nclin > 0) { - sda = n; - } - else { - sda = 1; - } - ldh = n; - - cvec = new double[n]; - a = new double[lda * sda]; - bl = new double[n + nclin]; - bu = new double[n + nclin]; - x = new double[n]; - h = new double[ldh * n]; - - //reading cvec - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for cvec"); - System.exit(1); - } - - for (int i = 0; i < n; ++i) { - cvec[i] = Double.parseDouble(dataLine[i].trim().replaceAll("D", "E")); - } - - //reading a - for (int i = 0; i < lda; ++i) { - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != sda) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for a"); - System.exit(1); - } - for (int j = 0; j < sda; ++j) { - a[i + j * lda] = Double.parseDouble(dataLine[j].trim().replaceAll("D", "E")); - } - } - - //reading bl - //it's on two lines in the data file, so we need to merge them - line = dataIn.readLine().trim().split(":")[0].trim() + " " - + dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n + nclin) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for bl"); - System.exit(1); - } - for (int i = 0; i < n + nclin; ++i) { - bl[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); - } - - //reading bu - //it's on two lines in the data file, so we need to merge them - line = dataIn.readLine().trim().split(":")[0].trim() + " " - + dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n + nclin) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for bu"); - System.exit(1); - } - for (int i = 0; i < n + nclin; ++i) { - bu[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); - } - - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for x"); - System.exit(1); - } - for (int i = 0; i < n; ++i) { - x[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); - } - - for (int i = 0; i < ldh; ++i) { - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for h at line " + i); - System.exit(1); - } - for (int j = 0; j < n; ++j) { - h[i + j * ldh] = Double.parseDouble(dataLine[j].replaceAll("D", "E")); - } - } - - - } - } - -} diff --git a/simple_examples/int32/E04NKJE.java b/simple_examples/int32/E04NKJE.java deleted file mode 100644 index 604ee66..0000000 --- a/simple_examples/int32/E04NKJE.java +++ /dev/null @@ -1,295 +0,0 @@ -import com.nag.routines.E04.E04NK; -import com.nag.routines.E04.E04WB; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.util.Arrays; - -/** - * E04NKJ Example Program Text - * @author willa - * @since 27.1.0.0 - */ -public class E04NKJE{ - private static int lcwsav = 1; - private static int liwsav = 380; - private static int llwsav = 20; - private static int lrwsav = 285; - - /** - * E04NKJ Example main program. - */ - public static void main(String[] args){ - double obj, sinf; - int icol, ifail, iobj, jcol, leniz, lenz, m, miniz, minz, n, ncolh, ninf, nname, nnz, ns, i; - String start; - double[] a, bl, bu, clamda, xs, z, ruser, rwsav; - int[] ha, istate, iz, ka, iuser, iwsav; - boolean[] lwsav; - String[] crname, cwsav, names; - - System.out.println("E04NKJ Example Program Results"); - - ruser = new double[1]; - rwsav = new double[lrwsav]; - iuser = new int[1]; - iwsav = new int[liwsav]; - - cwsav = new String[lcwsav]; - //equivalent to ```Character (80) :: cwsav(lcwsav)``` - for(i = 0; i < lcwsav; i++){ - char[] chars = new char[80]; - Arrays.fill(chars, ' '); - cwsav[i] = new String(chars); - } - names = new String[5]; - //names all blank anyway this time - for(i = 0; i < 5; i++){ - char[] chars = new char[8]; - Arrays.fill(chars, ' '); - names[i] = new String(chars); - } - - //dummy arrays - crname = new String[0]; - - n = 7; - m = 8; - nnz = 48; - iobj = 8; - ncolh = 7; - start = "C"; - nname = 15; - - ha = new int[nnz]; - ka = new int[n + 1]; - istate = new int[n + m]; - a = new double[nnz]; - bl = new double[n + m]; - bu = new double[n + m]; - xs = new double[n + m]; - clamda = new double[n + m]; - crname = new String[nname]; - lwsav = new boolean[llwsav]; - - names[0] = " "; - names[1] = " "; - names[2] = " "; - names[3] = " "; - names[4] = " "; - - crname[0] = "...X1..."; - crname[1] = "...X2..."; - crname[2] = "...X3..."; - crname[3] = "...X4..."; - crname[4] = "...X5..."; - crname[5] = "...X6..."; - crname[6] = "...X7..."; - crname[7] = "..ROW1.."; - crname[8] = "..ROW2.."; - crname[9] = "..ROW3.."; - crname[10] = "..ROW4.."; - crname[11] = "..ROW5.."; - crname[12] = "..ROW6.."; - crname[13] = "..ROW7.."; - crname[14] = "..COST.."; - - //Matrix A. Set up KA - jcol = 1; - ka[0] = 1; - - a[0] = 0.02; ha[0] = 7; - a[1] = 0.02; ha[1] = 5; - a[2] = 0.03; ha[2] = 3; - a[3] = 1.00; ha[3] = 1; - a[4] = 0.70; ha[4] = 6; - a[5] = 0.02; ha[5] = 4; - a[6] = 0.15; ha[6] = 2; - a[7] = -200.00; ha[7] = 8; - a[8] = 0.06; ha[8] = 7; - a[9] = 0.75; ha[9] = 6; - a[10] = 0.03; ha[10] = 5; - a[11] = 0.04; ha[11] = 4; - a[12] = 0.05; ha[12] = 3; - a[13] = 0.04; ha[13] = 2; - a[14] = 1.00; ha[14] = 1; - a[15] = -2000.00; ha[15] = 8; - a[16] = 0.02; ha[16] = 2; - a[17] = 1.00; ha[17] = 1; - a[18] = 0.01; ha[18] = 4; - a[19] = 0.08; ha[19] = 3; - a[20] = 0.08; ha[20] = 7; - a[21] = 0.80; ha[21] = 6; - a[22] = -2000.00; ha[22] = 8; - a[23] = 1.00; ha[23] = 1; - a[24] = 0.12; ha[24] = 7; - a[25] = 0.02; ha[25] = 3; - a[26] = 0.02; ha[26] = 4; - a[27] = 0.75; ha[27] = 6; - a[28] = 0.04; ha[28] = 2; - a[29] = -2000.00; ha[29] = 8; - a[30] = 0.01; ha[30] = 5; - a[31] = 0.80; ha[31] = 6; - a[32] = 0.02; ha[32] = 7; - a[33] = 1.00; ha[33] = 1; - a[34] = 0.02; ha[34] = 2; - a[35] = 0.06; ha[35] = 3; - a[36] = 0.02; ha[36] = 4; - a[37] = -2000.00; ha[37] = 8; - a[38] = 1.00; ha[38] = 1; - a[39] = 0.01; ha[39] = 2; - a[40] = 0.01; ha[40] = 3; - a[41] = 0.97; ha[41] = 6; - a[42] = 0.01; ha[42] = 7; - a[43] = 400.00; ha[43] = 8; - a[44] = 0.97; ha[44] = 7; - a[45] = 0.03; ha[45] = 2; - a[46] = 1.00; ha[46] = 1; - a[47] = 400.00; ha[47] = 8; - - ka[1] = 9; - ka[2] = 17; - ka[3] = 24; - ka[4] = 31; - ka[5] = 39; - ka[6] = 45; - ka[7] = 49; - - bl[0] = 0.0; - bl[1] = 0.0; - bl[2] = 4.0e2; - bl[3] = 1.0e2; - bl[4] = 0.0; - bl[5] = 0.0; - bl[6] = 0.0; - bl[7] = 2.0e3; - bl[8] = -1.0e25; - bl[9] = -1.0e25; - bl[10] = -1.0e25; - bl[11] = -1.0e25; - bl[12] = 1.5e3; - bl[13] = 2.5e2; - bl[14] = -1.0e25; - - bu[0] = 2.0e2; - bu[1] = 2.5e3; - bu[2] = 8.0e2; - bu[3] = 7.0e2; - bu[4] = 1.5e3; - bu[5] = 1.0e25; - bu[6] = 1.0e25; - bu[7] = 2.0e3; - bu[8] = 6.0e1; - bu[9] = 1.0e2; - bu[10] = 4.0e1; - bu[11] = 3.0e1; - bu[12] = 1.0e25; - bu[13] = 3.0e2; - bu[14] = 1.0e25; - - istate[0] = 0; - istate[1] = 0; - istate[2] = 0; - istate[3] = 0; - istate[4] = 0; - istate[5] = 0; - istate[6] = 0; - istate[7] = 0; - - xs[0] = 0.0; - xs[1] = 0.0; - xs[2] = 0.0; - xs[3] = 0.0; - xs[4] = 0.0; - xs[5] = 0.0; - xs[6] = 0.0; - xs[7] = 0.0; - - ifail = 0; - E04WB e04wb = new E04WB("E04NKA",cwsav,lcwsav,lwsav,llwsav,iwsav,liwsav,rwsav, - lrwsav,ifail); - e04wb.eval(); - - leniz = 1; - lenz = 1; - iz = new int[leniz]; - z = new double[lenz]; - - QPHX qphx = new QPHX(); - - ifail = 1; - - //placeholders - ns = 0; - miniz = 0; - minz = 0; - ninf = 0; - sinf = 0.0; - obj = 0.0; - - E04NK e04nk = new E04NK(n,m,nnz,iobj,ncolh,qphx,a,ha,ka,bl,bu,start,names,nname, - crname,ns,xs,istate,miniz,minz,ninf,sinf,obj,clamda,iz, - leniz,z,lenz,iuser,ruser,lwsav,iwsav,rwsav,ifail); - e04nk.eval(); - ifail = e04nk.getIFAIL(); - - minz = e04nk.getMINZ(); - miniz = e04nk.getMINIZ(); - - lenz = minz; - leniz = miniz; - - iz = new int[leniz]; - z = new double[lenz]; - - ifail = -1; - - e04nk.eval(n,m,nnz,iobj,ncolh,qphx,a,ha,ka,bl,bu,start,names,nname,crname,ns,xs, - istate,miniz,minz,ninf,sinf,obj,clamda,iz,leniz,z,lenz,iuser,ruser, - lwsav,iwsav,rwsav,ifail); - - //update - ifail = e04nk.getIFAIL(); - obj = e04nk.getOBJ(); - - if(ifail == 0){ - System.out.println(); - System.out.println("\tVariable Istate Value Lagr Mult"); - System.out.println(); - - for(i = 0; i < n; i++){ - System.out.printf("\t%s\t%d\t%.6g\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); - } - - if(m > 0){ - System.out.println(); - System.out.println(); - System.out.println("\tConstrnt Istate Value\t\t Lagr Mult"); - System.out.println(); - - for(i = n; i < n + m - 1; i++){ - System.out.printf("\t%s\t%d\t%.6g\t\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); - } - System.out.printf("\t%s\t%d\t%.6g\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); - } - - System.out.println(); - System.out.println(); - System.out.printf("Final objetive value = %15.7g\n", obj); - } - - } - - public static class QPHX extends E04NK.Abstract_E04NK_QPHX{ - public void eval(){ - this.HX[0] = 2 * this.X[0]; - this.HX[1] = 2 * this.X[1]; - this.HX[2] = 2 * (this.X[2] + this.X[3]); - this.HX[3] = this.HX[2]; - this.HX[4] = 2 * this.X[4]; - this.HX[5] = 2 * (this.X[5] + this.X[6]); - this.HX[6] = this.HX[5]; - } - } -} diff --git a/simple_examples/int32/E04NQJE.java b/simple_examples/int32/E04NQJE.java deleted file mode 100644 index 6cf84fe..0000000 --- a/simple_examples/int32/E04NQJE.java +++ /dev/null @@ -1,384 +0,0 @@ -import com.nag.routines.E04.E04NP; -import com.nag.routines.E04.E04NQ; -import com.nag.routines.E04.E04NT; -import java.io.BufferedReader; -import java.io.File; -import java.io.FileReader; -import java.io.IOException; -import java.util.Arrays; - -/** - * E04NQ example program text. - */ -public class E04NQJE { - - public static final int LENCW = 600; - public static final int LENIW = 600; - public static final int LENRW = 600; - public static final int NIN = 5; - public static final int NOUT = 6; - - public static void main(String[] args) throws IOException { - - /* Local Scalars */ - double obj, objadd, sinf; - int i, icol, ifail, iobj, jcol, lenc, m, n, ncolh, ne, ninf, nname, ns; - boolean verboseOutput; - String prob; // Length = 8 - String start; // Length = 1 - /* Local Arrays */ - double[] acol, bl, bu, c, pi, rc, x; - double[] ruser = new double[1], rw = new double[LENRW]; - int[] helast, hs, inda, loca; - int[] iuser = new int[1], iw = new int[LENIW]; - String[] cuser = new String[1], cw = new String[LENCW]; // Length = 8 - String[] names; // Length = 8 - /* Init String arrays with same length*/ - Arrays.fill(cuser, " "); - Arrays.fill(cw, " "); - - System.out.println(" E04NQJ Example Program Results"); - - /* Read data file */ - - if (args.length != 1) { - usage(); - } - BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); - String line; - - // Skip heading in data file - line = dataIn.readLine(); - - // Read n, m - line = dataIn.readLine(); - String[] data = line.split(":")[0].trim().split("\\s+"); - if (data.length != 2) { - System.out.println("Data file badly formatted - expected 2 ints separated by blank spaces.\n" - + line + "\n"+Arrays.toString(data)); - System.exit(1); - } - n = Integer.parseInt(data[0]); - m = Integer.parseInt(data[1]); - - // Read ne, iobj, ncolh, start, nname - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - if (data.length != 5) { - System.out.println("Data file badly formatted - expected 5 ints separated by blank spaces"); - System.exit(1); - } - ne = Integer.parseInt(data[0]); - iobj = Integer.parseInt(data[1]); - ncolh = Integer.parseInt(data[2]); - start = data[3].replaceAll("'",""); - nname = Integer.parseInt(data[4]); - - // Allocate - inda = new int[ne]; - loca = new int[n+1]; - helast = new int[n+m]; - hs = new int[n+m]; - acol = new double[ne]; - bl = new double[n+m]; - bu = new double[n+m]; - x = new double[n+m]; - pi = new double[m]; - rc = new double[n+m]; - names = new String[nname]; - - // Read names - line = dataIn.readLine(); // skipping blank line - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - int nameIndex = 0; - int dataIndex = 0; - while (nameIndex < nname) { - names[nameIndex] = data[dataIndex].replaceAll("'", ""); - ++nameIndex; - ++dataIndex; - if (nameIndex < nname && dataIndex == data.length) { - //need to read one more line - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - dataIndex = 0; - } - } - - // Read matrix - line = dataIn.readLine(); // skipping blank line - int locaIndex = 0; - int currentCol = 0; - for (i = 0; i < ne; ++i) { - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - if (data.length != 3) { - System.out.println("The line is not well formatted for input of A:\n\t"+line); - System.exit(1); - } - acol[i] = Double.parseDouble(data[0].replaceAll("d", "e").replaceAll("D", "e")); - inda[i] = Integer.parseInt(data[1]); - if (i == 0) { - loca[locaIndex] = 1;//storing for Fortran use: 1-based - ++locaIndex; - ++currentCol; - } - else { - int tmp = Integer.parseInt(data[2]); - if (tmp != currentCol) { - loca[locaIndex] = i+1; - ++currentCol; - ++locaIndex; - } - } - } - loca[n] = ne + 1; - - // Read bl - line = dataIn.readLine(); // skipping blank line - int blindex = 0; - dataIndex = 0; - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - while (blindex < bl.length) { - bl[blindex] = Double.parseDouble(data[dataIndex].replaceAll("d", "e").replaceAll("D", "e")); - ++blindex; - ++dataIndex; - if (blindex < bl.length && dataIndex == data.length) { - //need to read one more line - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - dataIndex = 0; - } - } - - // Read bu - line = dataIn.readLine(); // skipping blank line - int buindex = 0; - dataIndex = 0; - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - while (buindex < bu.length) { - bu[buindex] = Double.parseDouble(data[dataIndex].replaceAll("d", "e").replaceAll("D", "e")); - ++buindex; - ++dataIndex; - if (buindex < bu.length && dataIndex == data.length) { - //need to read one more line - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - dataIndex = 0; - } - } - - // Read hs - line = dataIn.readLine(); // skipping blank line - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - if (start.equalsIgnoreCase("C")) { - if (data.length != n) { - System.out.println("Wrong format for HS data.\n"); - System.exit(1); - } - } - else { - if (data.length != n+m) { - System.out.println("Wrong format for HS data.\n"); - System.exit(1); - } - } - for (i = 0; i < data.length; ++i) { - hs[i] = Integer.parseInt(data[i]); - } - - // Read x - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - if (data.length != n) { - System.out.println("Wrong format for X data."); - System.exit(1); - } - for (i = 0; i < data.length; ++i) { - x[i] = Double.parseDouble(data[i].replaceAll("d", "e").replaceAll("D", "e")); - } - - /* Done reading data file */ - - System.out.printf(" \n QP problem contains %3d variables and %3d linear constraints\n", n, m); - - /* Call E04NP to initialize E04NQ. */ - E04NP e04np = new E04NP(); - ifail = 0; - e04np.eval(cw,LENCW,iw,LENIW,rw,LENRW,ifail); - - /* Set this to .True. to cause e04nqf to produce intermediate - * progress output. */ - verboseOutput = true; - - if (verboseOutput) { - /* By default e04nqf does not print monitoring - * information. Set the print file unit or the summary - * file unit to get information. */ - E04NT e04nt = new E04NT(); - ifail = 0; - e04nt.eval("Print file", NOUT, cw, iw, rw, ifail); - } - - /* We have no explicit objective vector so set LENC = 0; the - * objective vector is stored in row IOBJ of ACOL. */ - lenc = 0; - c = new double[Math.max(1,lenc)]; - objadd = 0.0; - sinf = 0.0; - obj = Double.NaN; - prob = " "; - - /* Do not allow any elastic variables (i.e. they cannot be - * infeasible). If we'd set optional argument "Elastic mode" to 0, - * we wouldn't need to set the individual elements of array HELAST. */ - - for (int j = 0; j < (n+m); j++) { - helast[j] = 0; - } - - /* Solve the QP problem. */ - - E04NQ e04nq = new E04NQ(); - ifail = 0; - ns = 0; - ninf = 0; - e04nq.eval(start,new QPHX(ncolh),m,n,ne,nname,lenc,ncolh,iobj,objadd,prob,acol, - inda,loca,bl,bu,c,names,helast,hs,x,pi,rc,ns,ninf,sinf,obj,cw,LENCW, - iw,LENIW,rw,LENRW,cuser,iuser,ruser,ifail); - - System.out.println(); - System.out.printf(" Final objective value = %11.3E\n",e04nq.getOBJ()); - System.out.print(" Optimal X = "); - for (i = 0; i < n; ++i) { - System.out.printf("%9.2f ", x[i]); - } - System.out.println(); - - } - - private static void usage() { - System.out.println("Usage:\n" - + "\tjava -cp " + File.separator + "NAGJava.jar" + File.pathSeparator - + ". E04NQJE " + File.separator + "e04nqfe.d"); - System.exit(1); - } - - public static class QPHX implements E04NQ.E04NQ_QPHX { - - private int NCOLHREF; - - public QPHX(int NCOLHREF) { - this.NCOLHREF = NCOLHREF; - } - - // @Override - public void eval(int NCOLH, double[] X, double[] HX, int NSTATE, - String[] CUSER, int[] IUSER, double[] RUSER) { - - if (NCOLH != NCOLHREF) { - System.out.println("NCOLH value is wrong!"); - System.out.println("TEST FAILED"); - System.exit(1); - } - HX[0] = 2.0*X[0]; - HX[1] = 2.0*X[1]; - HX[2] = 2.0*(X[2]+X[3]); - HX[3] = HX[2]; - HX[4] = 2.0*X[4]; - HX[5] = 2.0*(X[5]+X[6]); - HX[6] = HX[5]; - - } - - private String[] CUSER; - private double[] HX,RUSER,X; - private int[] IUSER; - private int NCOLH, NSTATE; - - // @Override - public String[] getCUSER() { - return CUSER; - } - - // @Override - public double[] getHX() { - return HX; - } - - // @Override - public int[] getIUSER() { - return IUSER; - } - - // @Override - public int getNCOLH() { - return NCOLH; - } - - // @Override - public int getNSTATE() { - return NSTATE; - } - - // @Override - public double[] getRUSER() { - return RUSER; - } - - // @Override - public double[] getX() { - return X; - } - - // @Override - public void setCUSER(String[] arg0) { - CUSER = arg0; - - } - - // @Override - public void setHX(double[] arg0) { - HX = arg0; - - } - - // @Override - public void setIUSER(int[] arg0) { - IUSER = arg0; - - } - - // @Override - public void setNCOLH(int arg0) { - NCOLH = arg0; - - } - - // @Override - public void setNSTATE(int arg0) { - NSTATE = arg0; - - } - - // @Override - public void setRUSER(double[] arg0) { - RUSER = arg0; - - } - - // @Override - public void setX(double[] arg0) { - X = arg0; - - } - - } - - - - -} diff --git a/simple_examples/int32/E04PTJE.java b/simple_examples/int32/E04PTJE.java deleted file mode 100644 index 75303ac..0000000 --- a/simple_examples/int32/E04PTJE.java +++ /dev/null @@ -1,344 +0,0 @@ -import com.nag.routines.E04.E04PT; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RB; -import com.nag.routines.E04.E04RE; -import com.nag.routines.E04.E04RH; -import com.nag.routines.E04.E04RJ; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04ZM; -import com.nag.routines.F08.DSYEVD; -import java.util.Arrays; - -/** - * E04PTJ example program text. - * @author joed - * @since 27.0.0.0 - */ -public class E04PTJE { - - - /** - * Monitoring function can be used to monitor the progress - * or, for example, to implement bespoke stopping criteria. - */ - private static class MONIT extends E04PT.Abstract_E04PT_MONIT { - - public void eval() { - - double tol = RUSER[0]; - int tolReached = IUSER[1]; - - // If x is close to the solution, print a message - if ((RINFO[14] < tol) && (RINFO[15] < tol) && (RINFO[16] < tol) && (RINFO[17] < tol)) { - if (tolReached == 0) { - System.out.println(); - System.out.printf("monit() reports good approximate solution (tol = %9.2E)\n", tol); - IUSER[1] = 1; - } - } - - } - - } - - - /** - * E04PTJ example main program. - */ - public static void main(String[] args) { - - DSYEVD dsyevd = new DSYEVD(); - E04PT e04pt = new E04PT(); - E04RA e04ra = new E04RA(); - E04RB e04rb = new E04RB(); - E04RE e04re = new E04RE(); - E04RH e04rh = new E04RH(); - E04RJ e04rj = new E04RJ(); - E04RZ e04rz = new E04RZ(); - E04ZM e04zm = new E04ZM(); - MONIT monit = new MONIT(); - - final int nqc = 1; - long cpuser, handle; - double r1; - int i, idgroup, idlc, idxa, ifail, j, liwork, lwork, m, n, na, nnza, nnzp0, - nnzp1, nnzu, nnzuc, nu, nv, nvarc1, nvarc2, rptr, xIdx; - boolean verboseOutput; - String ctype1, ctype2; // Length must be 8 - double[] a, bla, bua, c, f0, f1, lambda0, lambda1, p0, p1, q0, q1, u, uc, - work, x, xl, xu; - double[] rinfo = new double[100], ruser = new double[1], stats = new double[100]; - int[] icola, icolp0, icolp1, idxc1, idxc2, irowa, irowp0, irowp1, iwork; - int[] iuser = new int[2]; - - System.out.println("E04PTJ Example Program Results\n"); - - // Dimensions of the problem - n = 3; - nnzp0 = 6; - nnzp1 = 6; - - // Initialize size of linear constraints in SOCP - m = nqc; - na = n + nqc + 1; - nnza = nqc + n; - - // Initialize size of cone constraints - nvarc1 = 2; - nvarc2 = 2; - - // Set problem data - lwork = Math.max(2*n*n+6*n+1, 120+9*n); - liwork = 5*n + 3; - irowp0 = new int[]{1, 2, 3, 2, 3, 3}; - icolp0 = new int[]{1, 1, 1, 2, 2, 3}; - p0 = new double[]{0.493, 0.382, 0.270, 0.475, 0.448, 0.515}; - irowp1 = new int[]{1, 2, 3, 2, 3, 3}; - icolp1 = new int[]{1, 1, 1, 2, 2, 3}; - p1 = new double[]{0.737, 0.453, 1.002, 0.316, 0.635, 1.590}; - q0 = new double[]{0.847, 0.08, 0.505}; - q1 = new double[]{0.065, 0.428, 0.097}; - r1 = 1.276; - f0 = new double[n*n]; - f1 = new double[n*n]; - lambda0 = new double[n]; - lambda1 = new double[n]; - work = new double[lwork]; - iwork = new int[liwork]; - - // Store full P0 and P1 in F0 and F1 - Arrays.fill(f0, 0.0); - for (i = 0; i < nnzp0; i++) { - f0[getIdx(irowp0[i], icolp0[i], n)] = p0[i]; - } - Arrays.fill(f1, 0.0); - for (i = 0; i < nnzp1; i++) { - f1[getIdx(irowp1[i], icolp1[i], n)] = p1[i]; - } - - // Factorize P0 and P1 via eigenvalue decomposition - ifail = 0; - dsyevd.eval("V", "L", n, f0, n, lambda0, work, lwork, iwork, liwork, ifail); - dsyevd.eval("V", "L", n, f1, n, lambda1, work, lwork, iwork, liwork, ifail); - - // Fomulate F0 and F1 in P0 = F0'*F0, P1 = F1'*F1 - nu = 0; - nv = 0; - for (i = 1; i <= n; i++) { - if (lambda0[i-1] > 0) { - for (j = 1; j <= n; j++) { - f0[getIdx(j,i,n)] *= Math.sqrt(lambda0[i-1]); - } - m++; - nu++; - nnza += n; - } - if (lambda1[i-1] > 0) { - for (j = 1; j <= n; j++) { - f1[getIdx(j,i,n)] *= Math.sqrt(lambda1[i-1]); - } - m++; - nv++; - nnza += n; - } - } - nnza += nu + nv; - na += nu+ nv; - nvarc1 += nu; - nvarc2 += nv; - - // Add two fixed variable for two rotated quadratic cones - na += 2; - m += 2; - nnza += 2; - - // Compute size of multipliers - nnzu = 2*na + 2*m; - nnzuc = nvarc1 + nvarc2; - - // Initialize arrays to build SOCP - icola = new int[nnza]; - irowa = new int[nnza]; - a = new double[nnza]; - bla = new double[m]; - bua = new double[m]; - xl = new double[na]; - xu = new double[na]; - c = new double[na]; - x = new double[na]; - u = new double[nnzu]; - uc = new double[nnzuc]; - idxc1 = new int[nvarc1]; - idxc2 = new int[nvarc2]; - - // Build objective function parameter c - // [x, t1, u, v, y1, y2, t0] - Arrays.fill(c, 0.0); - for (j = 0; j < n; j++) { - c[j] = q0[j]; - } - c[na-1] = 1.0; - - // Build linear constraints parameter A - idxa = 0; - rptr = 0; - // q1 in First row - rptr++; - Arrays.fill(irowa, 0, n, rptr); - for (j = 0; j < n; j++) { - icola[j] = j+1; - a[j] = q1[j]; - } - idxa += n; - - // F0 in F0*x-u=0 row - for (i = 1; i <= n; i++) { - if (lambda0[i-1] > 0) { - rptr += 1; - for (j = 0; j < n; j++) { - irowa[idxa+j] = rptr; - icola[idxa+j] = j+1; - a[idxa+j] = f0[getIdx(j+1,i,n)]; - } - idxa += n; - } - } - // F1 in F1*x-v=0 row - for (i = 1; i <= n; i++) { - if (lambda1[i-1] > 0) { - rptr += 1; - for (j = 0; j < n; j++) { - irowa[idxa+j] = rptr; - icola[idxa+j] = j+1; - a[idxa+j] = f1[getIdx(j+1,i,n)]; - } - idxa += n; - } - } - // Rest of A, a diagonal matrix - for (j = 0; j < m; j++) { - irowa[idxa+j] = j+1; - icola[idxa+j] = n+j+1; - a[idxa+j] = 1.0; - } - for (j = 1; j < (nu+nv+1); j++) { - a[idxa+j] = -1.0; - } - // RHS in linear constraints - Arrays.fill(bla, 0.0); - Arrays.fill(bua, 0.0); - bla[0] = -r1; - bua[0] = -r1; - for (j = (m-nqc); j <= m; j++) { - bla[j-1] = 1.0; - bua[j-1] = 1.0; - } - - // Box constraints, all variables are free - Arrays.fill(xl, -1E+20); - Arrays.fill(xu, 1E+20); - - // Cone constraints - // First cone - idxc1[0] = na; - idxc1[1] = n + 1 + nu + nv + 1; - for (j = 2; j < nvarc1; j++) { - idxc1[j] = n + j; - } - ctype1 = "RQUAD "; - // Second cone - idxc2[0] = n + 1; - idxc2[1] = n + 1 + nu + nv + 2; - for (j = 2; j < nvarc2; j++) { - idxc2[j] = n + nu + j; - } - ctype2 = "RQUAD "; - - // Create the problem handle - handle = 0; - ifail = 0; - e04ra.eval(handle, na, ifail); - handle = e04ra.getHANDLE(); - - // Set objective function - ifail = 0; - e04re.eval(handle, na, c, ifail); - - // Set box constraints - ifail = 0; - e04rh.eval(handle, na, xl, xu, ifail); - - // Set linear constraints - ifail = 0; - idlc = 0; - e04rj.eval(handle, m, bla, bua, nnza, irowa, icola, a, idlc, ifail); - idlc = e04rj.getIDLC(); - - // Set first cone constraint - ifail = 0; - idgroup = 0; - e04rb.eval(handle, ctype1, nvarc1, idxc1, idgroup, ifail); - idgroup = e04rb.getIDGROUP(); - - // Set first cone constraint - ifail = 0; - idgroup = 0; - e04rb.eval(handle, ctype2, nvarc2, idxc2, idgroup, ifail); - idgroup = e04rb.getIDGROUP(); - - // Turn on monitoring - ifail = 0; - e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); - - /* Set this to true to cause e04pt to produce intermediate - * progress output */ - verboseOutput = false; - - if (verboseOutput) { - // Require printing of primal and dual solutions at the end of the solve - ifail = 0; - e04zm.eval(handle, "Print Solution = YES", ifail); - } - else { - // Turn off printing of intermediate progress output - ifail = 0; - e04zm.eval(handle, "Print Level = 1", ifail); - } - - // Call SOCP interior point solver - cpuser = 0; - iuser[0] = 0; // unused in this example - iuser[1] = 0; - ruser[0] = 1.0E-7; - ifail = -1; - e04pt.eval(handle, na, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, - ruser, cpuser, ifail); - ifail = e04pt.getIFAIL(); - - // Print solution if optimal or suboptimal solution found - if (ifail == 0 || ifail == 50) { - System.out.println(" Optimal X:"); - System.out.println(" x_idx Value "); - for (xIdx = 1; xIdx <= n; xIdx++) { - System.out.printf(" %5d %11.3E\n", xIdx, x[xIdx-1]); - } - } - - // Free the handle memory - ifail = 0; - e04rz.eval(handle, ifail); - - } - - - /** - * Convert from 2D Fortran index to 1D-column major Java index. - * @param x 1-based row index for a 2D array - * @param y 1-based column index for a 2D array - * @return the corresponding 0-based index for a 1D column-major array - */ - private static int getIdx(int x, int y, int dimX) { - return ((y-1) * dimX) + (x-1); - } - -} diff --git a/simple_examples/int32/E04RPJE.java b/simple_examples/int32/E04RPJE.java deleted file mode 100644 index d22d3d1..0000000 --- a/simple_examples/int32/E04RPJE.java +++ /dev/null @@ -1,199 +0,0 @@ -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RE; -import com.nag.routines.E04.E04RN; -import com.nag.routines.E04.E04RP; -import com.nag.routines.E04.E04RY; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04SV; - -/** - * E04RPJ Example Program Text - * @author willa - * @since 27.1.0.0 - */ - -public class E04RPJE{ - - /** - * E04RPJ Example main program - */ - public static void main(String[] args){ - int blkidx, dimaq, idblk, idlc, idx, idxend, ifail, inform, midx, nblk, nclin, - nnzasum, nnzb, nnzc, nnzh, nnzqsum, nnzu, nnzua, nnzuc, nq, nvar; - double[] a, b, bl, bu, cvec, h, q, x, rdummy, rinfo, stats; - int[] icola, icolb, icolh, icolq, idxc, irowa, irowb, irowh, irowq, nnza, - nnzq, qi, qj, idummy; - long cpuser, handle; - - rdummy = new double[1]; - rinfo = new double[32]; - stats = new double[32]; - idummy = new int[1]; - - System.out.println("E04RPJ Example Program Results"); - System.out.println(); - - //Problem size - nvar = 5; - nnzh = 0; - nclin = 0; - nnzb = 0; - nblk = 2; - - //Initialize handle to an empty problem - E04RA e04ra = new E04RA(); - handle = 0; - ifail = 0; - e04ra.eval(handle, nvar, ifail); - handle = e04ra.getHANDLE(); - - //Linear part of the objective function - cvec = new double[nvar]; - cvec[0] = 1; - cvec[1] = 0; - cvec[2] = 1; - cvec[3] = 0; - cvec[4] = 0; - - //Add the linear objetive function to the problem formulation - ifail = 0; - E04RE e04re = new E04RE(handle, nvar, cvec, ifail); - e04re.eval(); - - //Matrix inequalities - //block 1 - dimaq = 2; - nnzasum = 9; nnzqsum = 8; - idblk = 0; - - nnza = new int[nvar + 1]; - irowa = new int[nnzasum]; - icola = new int[nnzasum]; - a = new double[nnzasum]; - - nnza[0] = 2; - nnza[1] = 2; - nnza[2] = 3; - nnza[3] = 2; - nnza[4] = 0; - nnza[5] = 0; - - a[0] = 1.0; irowa[0] = 1; icola[0] = 1; - a[1] = 1.0; irowa[1] = 2; icola[1] = 2; - a[2] = 2.0; irowa[2] = 1; icola[2] = 1; - a[3] = -2.0; irowa[3] = 1; icola[3] = 2; - a[4] = 6.0; irowa[4] = 1; icola[4] = 1; - a[5] = 5.0; irowa[5] = 1; icola[5] = 2; - a[6] = -4.0; irowa[6] = 2; icola[6] = 2; - a[7] = 3.0; irowa[7] = 1; icola[7] = 2; - a[8] = 8.0; irowa[8] = 2; icola[8] = 2; - - idblk = 0; - ifail = 0; - //Add the linear matrix inequality to the problem formulation - E04RN e04rn = new E04RN(handle,nvar,dimaq,nnza,nnzasum,irowa,icola,a,1, - idummy,idblk,ifail); - e04rn.eval(); - //update - idblk = e04rn.getIDBLK(); - - nq = 6; - - qi = new int[nq]; - qj = new int[nq]; - nnzq = new int[nq]; - irowq = new int[nnzqsum]; - icolq = new int[nnzqsum]; - q = new double[nnzqsum]; - - qi[0] = 1; qj[0] = 4; - qi[1] = 2; qj[1] = 4; - qi[2] = 3; qj[2] = 4; - qi[3] = 1; qj[3] = 5; - qi[4] = 2; qj[4] = 5; - qi[5] = 3; qj[5] = 5; - - nnzq[0] = 1; - nnzq[1] = 2; - nnzq[2] = 1; - nnzq[3] = 1; - nnzq[4] = 2; - nnzq[5] = 1; - - q[0] = 2.0; irowq[0] = 1; icolq[0] = 1; - q[1] = 2.0; irowq[1] = 1; icolq[1] = 1; - q[2] = 1.0; irowq[2] = 1; icolq[2] = 2; - q[3] = 1.0; irowq[3] = 1; icolq[3] = 2; - q[4] = 1.0; irowq[4] = 1; icolq[4] = 2; - q[5] = 1.0; irowq[5] = 1; icolq[5] = 2; - q[6] = 2.0; irowq[6] = 2; icolq[6] = 2; - q[7] = 2.0; irowq[7] = 2; icolq[7] = 2; - - ifail = 0; - //Expand the existing linear matrix inequality with bilnear term - E04RP e04rp = new E04RP(handle,nq,qi,qj,dimaq,nnzq,nnzqsum,irowq,icolq, - q,idblk,ifail); - e04rp.eval(); - - //block 2 - dimaq = 2; - nnzasum = 5; - nnza = new int[nvar + 1]; - irowa = new int[nnzasum]; - icola = new int[nnzasum]; - a = new double[nnzasum]; - - nnza[0] = 2; - nnza[1] = 1; - nnza[2] = 1; - nnza[3] = 1; - nnza[4] = 0; - nnza[5] = 0; - - a[0] = 1.0; irowa[0] = 1; icola[0] = 1; - a[1] = 1.0; irowa[1] = 2; icola[1] = 2; - a[2] = 1.0; irowa[2] = 1; icola[2] = 1; - a[3] = 1.0; irowa[3] = 1; icola[3] = 2; - a[4] = 1.0; irowa[4] = 2; icola[4] = 2; - - idblk = 0; - ifail = 0; - //Add the linear matrix inequality to the problem formulation - e04rn = new E04RN(handle,nvar,dimaq,nnza,nnzasum,irowa,icola,a,1, - idummy,idblk,ifail); - e04rn.eval(); - - System.out.println("Passing SDP problem to solver"); - System.out.println(); - - ifail = 0; - //Print overview of handle - //nout = 6 is default output for fortran - E04RY e04ry = new E04RY(handle,6,"Overview,Matrix Constraints",ifail); - e04ry.eval(); - - //Allocate memory for the solver - x = new double[nvar]; - nnzu = 0; - nnzuc = 0; - nnzua = 0; - inform = 0; - for(int i = 0; i < nvar; i++){ - x[i] = 0.0; - } - - ifail = 0; - E04SV e04sv = new E04SV(handle,nvar,x,nnzu,rdummy,nnzuc,rdummy,nnzua,rdummy, - rinfo,stats,inform,ifail); - e04sv.eval(); - - //Destroy handle - ifail = 0; - E04RZ e04rz = new E04RZ(handle,ifail); - e04rz.eval(); - } - -} - - - diff --git a/simple_examples/int32/E04RSJE.java b/simple_examples/int32/E04RSJE.java deleted file mode 100644 index d614fbb..0000000 --- a/simple_examples/int32/E04RSJE.java +++ /dev/null @@ -1,229 +0,0 @@ -import com.nag.routines.E04.E04RS; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04ZM; -import com.nag.routines.E04.E04PT; -import com.nag.routines.E04.E04RZ; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * E04RS - */ -public class E04RSJE { - - public static void main(String[] args) { - - final int nout = 6; - - long cpuser, handle = 0; - double s = 0.0; - int idqc, ifail, n = 0, nnzq0 = 0, nnzq1 = 0, nnzu, nnzuc, x_idx; - boolean verbose_output; - - double[] q0 = null, q1 = null, r0 = null, r1 = null, u, uc, x; - double[] rinfo = new double[100]; - double[] ruser = new double[1]; - double[] stats = new double[100]; - int[] icolq0 = null, icolq1 = null, idxr0 = null, idxr1 = null, irowq0 = null, irowq1 = null; - int[] iuser = new int[2]; - - System.out.println(" E04RSJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); // skip header - - // Read dimensions of the problem - line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - nnzq0 = Integer.parseInt(sVal[1]); - nnzq1 = Integer.parseInt(sVal[2]); - - // Allocate memory to read data - irowq0 = new int[nnzq0]; - icolq0 = new int[nnzq0]; - q0 = new double[nnzq0]; - irowq1 = new int[nnzq1]; - icolq1 = new int[nnzq1]; - q1 = new double[nnzq1]; - idxr0 = new int[n]; - r0 = new double[n]; - idxr1 = new int[n]; - r1 = new double[n]; - - // Read problem data - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq0; i++) { - irowq0[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq0; i++) { - icolq0[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq0; i++) { - q0[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq1; i++) { - irowq1[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq1; i++) { - icolq1[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq1; i++) { - q1[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < n; i++) { - idxr0[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < n; i++) { - r0[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < n; i++) { - idxr1[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < n; i++) { - r1[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - s = Double.parseDouble(sVal[0]); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Compute size of multipliers - // One quadratic constraint in the model will have - // 2 multipliers for both bounds - nnzu = 2; - // No cone constraint in the model, so set nnzuc to 0 - nnzuc = 0; - - // Allocate memory for final results - x = new double[n]; - u = new double[nnzu]; - uc = new double[nnzuc]; - - // Create the problem handle - ifail = 0; - E04RA e04ra = new E04RA(); - e04ra.eval(handle, n, ifail); - handle = e04ra.getHANDLE(); - - // Set objective function - idqc = -1; - ifail = 0; - E04RS e04rs = new E04RS(); - e04rs.eval(handle, 0.0, n, idxr0, r0, nnzq0, irowq0, icolq0, q0, idqc, ifail); - - // Set quadratic constraint - idqc = 0; - ifail = 0; - e04rs.eval(handle, s, n, idxr1, r1, nnzq1, irowq1, icolq1, q1, idqc, ifail); - - // Turn on monitoring - ifail = 0; - E04ZM e04zm = new E04ZM(); - e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); - - // Set this to True to cause e04ptf to produce intermediate progress output - verbose_output = false; - - if (verbose_output) { - // Require printing of primal and dual solutions at the end of the solve - ifail = 0; - e04zm.eval(handle, "Print Solution = YES", ifail); - } else { - // Turn off printing of intermediate progress output - ifail = 0; - e04zm.eval(handle, "Print Level = 1", ifail); - } - - // Call SOCP interior point solver - cpuser = 0; - iuser[0] = nout; - iuser[1] = 0; - ruser[0] = 1.0e-07; - ifail = -1; - E04PT e04pt = new E04PT(); - MONIT monit = new MONIT(); - e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - ifail = e04pt.getIFAIL(); - - // Print solution if optimal or suboptimal solution found - if ((ifail == 0) || (ifail == 50)) { - System.out.println(" Optimal X:"); - System.out.println(" x_idx Value "); - for (x_idx = 0; x_idx < n; x_idx++) { - System.out.printf(" %5d %11.3e\n", x_idx, x[x_idx]); - } - } - - // Free the handle memory - ifail = 0; - E04RZ e04rz = new E04RZ(); - e04rz.eval(handle, ifail); - } - - public static class MONIT extends E04PT.Abstract_E04PT_MONIT { - - public void eval() { - double tol; - int nout, tol_reached; - - nout = this.IUSER[0]; - tol_reached = this.IUSER[1]; - tol = this.RUSER[0]; - - // If x is close to the solution, print a message - if ((this.RINFO[14] < tol) && (this.RINFO[15] < tol) && (this.RINFO[16] < tol) && (this.RINFO[17] < tol)) { - if (tol_reached == 0) { - System.out.printf("\n monit() reports good approximate solution (tol =%9.2e)\n", tol); - this.IUSER[1] = 1; - } - } - } - } -} diff --git a/simple_examples/int32/E04RTJE.java b/simple_examples/int32/E04RTJE.java deleted file mode 100644 index dd4bce8..0000000 --- a/simple_examples/int32/E04RTJE.java +++ /dev/null @@ -1,225 +0,0 @@ -import com.nag.routines.E04.E04RT; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RJ; -import com.nag.routines.E04.E04ZM; -import com.nag.routines.E04.E04PT; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04RH; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * E04RT example program text. - */ -public class E04RTJE { - - public static void main(String[] args) { - - final int nout = 6; - - long cpuser, handle = 0; - int i, idlc, idqc, ifail, j, m = 0, n = 0, nnza = 0, nnzu, nnzuc, x_idx; - boolean verbose_output; - - double[] a = null, b = null, r0 = null, u, uc, x, xl = null, xu = null; - double[] lc = new double[3]; - double[] lc_rhs = new double[1]; - double[] rinfo = new double[100]; - double[] ruser = new double[1]; - double[] stats = new double[100]; - int[] icola = null, idxr0 = null, irowa = null; - int[] icollc = new int[3]; - int[] irowlc = new int[3]; - int[] iuser = new int[2]; - - System.out.println(" E04RTJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); // skip header - - // Read dimensions of the problem - line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - m = Integer.parseInt(sVal[1]); - nnza = Integer.parseInt(sVal[2]); - - // Allocate memory to read data - a = new double[nnza]; - icola = new int[nnza]; - irowa = new int[nnza]; - idxr0 = new int[n]; - r0 = new double[n]; - b = new double[m]; - xl = new double[n]; - xu = new double[n]; - - // Read problem data - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < nnza; i++) { - irowa[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < nnza; i++) { - icola[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < nnza; i++) { - a[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < m; i++) { - b[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - xl[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - xu[i] = Double.parseDouble(sVal[i]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Compute -2*b'A as linear term in quadratic function - for (j = 0; j < n; j++) { - r0[j] = 0.0; - idxr0[j] = j + 1; - } - for (i = 0; i < nnza; i++) { - r0[icola[i] - 1] = r0[icola[i] - 1] + a[i] * b[irowa[i] - 1]; - } - - // Compute size of multipliers - // One linear constraint in the model will have - // 2 multipliers for both bounds - nnzu = 2 * n + 2; - // No cone constraint in the model, so set nnzuc to 0 - nnzuc = 0; - - // Allocate memory for final results - x = new double[n]; - u = new double[nnzu]; - uc = new double[nnzuc]; - - // Create the problem handle - ifail = 0; - E04RA e04ra = new E04RA(); - e04ra.eval(handle, n, ifail); - handle = e04ra.getHANDLE(); - - // Set quadratic objective function - idqc = -1; - ifail = 0; - E04RT e04rt = new E04RT(); - e04rt.eval(handle, 0.0, n, idxr0, r0, m, nnza, irowa, icola, a, idqc, ifail); - - // Set box constraints - ifail = 0; - E04RH e04rh = new E04RH(); - e04rh.eval(handle, n, xl, xu, ifail); - - // Set linear constraint: x1 + x2 + x3 = 1 - for (j = 0; j < n; j++) { - irowlc[j] = 1; - icollc[j] = j + 1; - lc[j] = 1.0; - } - lc_rhs[0] = 1.0; - ifail = 0; - idlc = 0; - E04RJ e04rj = new E04RJ(); - e04rj.eval(handle, 1, lc_rhs, lc_rhs, 3, irowlc, icollc, lc, idlc, ifail); - - // Turn on monitoring - ifail = 0; - E04ZM e04zm = new E04ZM(); - e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); - - // Set this to True to cause e04ptf to produce intermediate progress output - verbose_output = false; - - if (verbose_output) { - // Require printing of primal and dual solutions at the end of the solve - ifail = 0; - e04zm.eval(handle, "Print Solution = YES", ifail); - } else { - // Turn off printing of intermediate progress output - ifail = 0; - e04zm.eval(handle, "Print Level = 1", ifail); - } - - // Call SOCP interior point solver - cpuser = 0; - iuser[0] = nout; - iuser[1] = 0; - ruser[0] = 1.0e-07; - ifail = -1; - E04PT e04pt = new E04PT(); - MONIT monit = new MONIT(); - e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - ifail = e04pt.getIFAIL(); - - // Print solution if optimal or suboptimal solution found - if ((ifail == 0) || (ifail == 50)) { - System.out.println(" Optimal X:"); - System.out.println(" x_idx Value "); - for (x_idx = 0; x_idx < n; x_idx++) { - System.out.printf(" %5d %11.3e\n", x_idx, x[x_idx]); - } - } - - // Free the handle memory - ifail = 0; - E04RZ e04rz = new E04RZ(); - e04rz.eval(handle, ifail); - } - - public static class MONIT extends E04PT.Abstract_E04PT_MONIT { - - public void eval() { - double tol; - int nout, tol_reached; - - nout = this.IUSER[0]; - tol_reached = this.IUSER[1]; - tol = this.RUSER[0]; - - // If x is close to the solution, print a message - if ((this.RINFO[14] < tol) && (this.RINFO[15] < tol) && (this.RINFO[16] < tol) && (this.RINFO[17] < tol)) { - if (tol_reached == 0) { - System.out.printf("\n monit() reports good approximate solution (tol =%9.2e)\n", tol); - this.IUSER[1] = 1; - } - } - } - } - } diff --git a/simple_examples/int32/E04SAJE.java b/simple_examples/int32/E04SAJE.java deleted file mode 100644 index 325267b..0000000 --- a/simple_examples/int32/E04SAJE.java +++ /dev/null @@ -1,104 +0,0 @@ -import com.nag.routines.E04.E04RC; -import com.nag.routines.E04.E04SA; -import com.nag.routines.E04.E04ZM; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04PT; -import com.nag.routines.E04.E04PTU; - -/** - * E04SA example program text. - */ -public class E04SAJE { - - public static final String fname = "e04saje.opt"; - public static void main(String[] args) { - - long cpuser, handle = 0; - int ifail, n, nnzu, nnzuc, x_idx; - boolean verbose_output; - String ftype; - - double[] rinfo = new double[100]; - double[] ruser = new double[1]; - double[] stats = new double[100]; - double[] u, uc, x; - int[] iuser = new int[1]; - int[] pinfo = new int[100]; - - System.out.println(" E04SAJ Example Program Results"); - - // Read mps file to a handle - ifail = 0; - ftype = "mps"; - E04SA e04sa = new E04SA(); - e04sa.eval(handle, fname, ftype, pinfo, ifail); - handle = e04sa.getHANDLE(); - - // Get problem size from pinfo - pinfo = e04sa.getPINFO(); - n = pinfo[0]; - nnzu = pinfo[10]; - nnzuc = pinfo[11]; - - // Set all variables as continuous - ifail = 0; - E04RC e04rc = new E04RC(); - - int[] x_idx_Arr = new int[n]; - for (x_idx = 1; x_idx <= n; x_idx++) { - x_idx_Arr[x_idx - 1] = x_idx; - } - - e04rc.eval(handle, "CONT", n, x_idx_Arr, ifail); - - // Allocate memory - x = new double[n]; - u = new double[nnzu]; - uc = new double[nnzuc]; - - // Set this to .True. to cause e04ptf to produce intermediate progress output - verbose_output = false; - - E04ZM e04zm = new E04ZM(); - if (verbose_output) { - // Require printing of primal and dual solutions at the end of the solve - ifail = 0; - e04zm.eval(handle, "Print Solution = YES", ifail); - } else { - // Turn off printing of intermediate progress output - ifail = 0; - e04zm.eval(handle, "Print Level = 1", ifail); - } - - // Call SOCP interior point solver - cpuser = 0; - ifail = -1; - E04PT e04pt = new E04PT(); - MONIT monit = new MONIT(); - e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - ifail = e04pt.getIFAIL(); - - // Print solution if optimal or suboptimal solution found - if ((ifail == 0) || (ifail == 50)) { - System.out.println(" Optimal X:"); - System.out.println(" x_idx " + " Value "); - for (x_idx = 0; x_idx < n; x_idx++) { - System.out.printf(" %5d %12.5e\n", x_idx, x[x_idx]); - } - } - - // Free the handle memory - ifail = 0; - E04RZ e04rz = new E04RZ(); - e04rz.eval(handle, ifail); - } - - public static class MONIT extends E04PT.Abstract_E04PT_MONIT { - - public void eval() { - E04PTU e04ptu = new E04PTU(); - e04ptu.eval(this.HANDLE, this.RINFO, this.STATS, this.IUSER, this.RUSER, this.CPUSER, this.INFORM); - this.INFORM = e04ptu.getINFORM(); - } - } -} diff --git a/simple_examples/int32/E04TAJE.java b/simple_examples/int32/E04TAJE.java deleted file mode 100644 index 97cebe2..0000000 --- a/simple_examples/int32/E04TAJE.java +++ /dev/null @@ -1,188 +0,0 @@ -import com.nag.routines.E04.E04TA; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RE; -import com.nag.routines.E04.E04RH; -import com.nag.routines.E04.E04RJ; -import com.nag.routines.E04.E04ZM; -import com.nag.routines.E04.E04MT; -import com.nag.routines.E04.E04MTU; -import com.nag.routines.E04.E04TD; -import com.nag.routines.E04.E04TE; -import com.nag.routines.E04.E04TJ; -import com.nag.routines.E04.E04RW; -import com.nag.routines.E04.E04RZ; - -import java.util.Arrays; - -/** - * E04TA - */ -public class E04TAJE { - - public static void main(String[] args) { - - final double infbnd = 1.0e20; - - long cpuser, handle; - int idlc, ifail, ioflag, liarr, nclin, nnza, nnzu, nvar; - - double[] a, bla, bua, cvec, ulag, x, xl, xu; - - double[] rinfo = new double[100]; - double[] ruser = new double[1]; - double[] stats = new double[100]; - double[] u = new double[1]; - - int[] icola, irowa; - - int[] iuser = new int[1]; - int[] pinfo = new int[100]; - - System.out.println(" E04TAJ Example Program Results\n"); - System.out.println(" Solve the first LP\n"); - - handle = 0; - cpuser = 0; - - // Initialize the handle - nvar = 2; - ifail = 0; - E04RA e04ra = new E04RA(); - e04ra.eval(handle, nvar, ifail); - handle = e04ra.getHANDLE(); - - // Define the objective function - cvec = new double[nvar]; - cvec[0] = 2.0; - cvec[1] = 4.5; - ifail = 0; - E04RE e04re = new E04RE(); - e04re.eval(handle, nvar, cvec, ifail); - - // Box constraints - xl = new double[nvar]; - xu = new double[nvar]; - Arrays.fill(xl, 0.0); - xu[0] = infbnd; - xu[1] = 100.0; - ifail = 0; - E04RH e04rh = new E04RH(); - e04rh.eval(handle, nvar, xl, xu, ifail); - - // Set the linear constraints - idlc = 0; - nclin = 3; - nnza = 6; - bla = new double[nclin]; - bua = new double[nclin]; - irowa = new int[nnza]; - icola = new int[nnza]; - a = new double[nnza]; - Arrays.fill(bla, -infbnd); - bua = new double[] { - 1500.0, 6000.0, 16000.0 - }; - irowa = new int[] { - 1, 1, 2, 2, 3, 3 - }; - icola = new int[] { - 1, 2, 1, 2, 1, 2 - }; - a = new double[] { - 1.2, 3.0, 6.0, 10.0, 40.0, 80.0 - }; - ifail = 0; - E04RJ e04rj = new E04RJ(); - e04rj.eval(handle, nclin, bla, bua, nnza, irowa, icola, a , idlc, ifail); - - // Optional parameters - E04ZM e04zm = new E04ZM(); - e04zm.eval(handle, "Task = Max", ifail); - e04zm.eval(handle, "Print Options = No", ifail); - e04zm.eval(handle, "Print Level = 1", ifail); - e04zm.eval(handle, "Print Solution = X", ifail); - - // Call the LP solver - x = new double[nvar + 1]; - nnzu = 0; - ifail = -1; - E04MT e04mt = new E04MT(); - MONIT monit = new MONIT(); - e04mt.eval(handle, nvar, x ,nnzu, u, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - - // Add a variable - ifail = 0; - E04TA e04ta = new E04TA(); - e04ta.eval(handle, 1, nvar, ifail); - nvar = e04ta.getNVAR(); - - // Box constraint on the new variable - ifail = 0; - E04TD e04td = new E04TD(); - e04td.eval(handle, "variable", nvar, 0.0, 50.0, ifail); - - // Add the linear objective component - ifail = 0; - E04TE e04te = new E04TE(); - e04te.eval(handle, 3, 7.0, ifail); - - // Add linear constraints coefficients - E04TJ e04tj = new E04TJ(); - ifail = 0; - e04tj.eval(handle, 1, 3, 5.0, ifail); - ifail = 0; - e04tj.eval(handle, 2, 3, 12.0, ifail); - ifail = 0; - e04tj.eval(handle, 3, 3, 120.0, ifail); - - System.out.println("\n The new variable has been added, solve the handle again\n"); - - // Solve the problem again - ifail = -1; - e04mt.eval(handle, nvar, x, nnzu, u, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - - // Add a linear constraint - nclin = 1; - bla[0] = -infbnd; - bua[0] = 100.0; - nnza = 2; - irowa[0] = 1; - irowa[1] = 1; - icola[0] = 2; - icola[1] = 3; - a[0] = 1.0; - a[1] = 1.0; - idlc = 0; - e04rj.eval(handle, nclin, bla, bua ,nnza, irowa, icola, a ,idlc, ifail); - - System.out.println("\n The new constraint has been added, solve the handle again\n"); - - // Query the problem sizes to request the Lagrangian multipliers for the - // last solve - ioflag = 1; - liarr = 100; - E04RW e04rw = new E04RW(); - e04rw.eval(handle, "pinfo", ioflag, liarr, pinfo, ifail); - nnzu = pinfo[10]; - ulag = new double[nnzu]; - - // Solve the problem again - ifail = -1; - e04mt.eval(handle, nvar, x ,nnzu, ulag, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - - // Free the memory - ifail = 0; - E04RZ e04rz = new E04RZ(); - e04rz.eval(handle, ifail); - } - - public static class MONIT extends E04MT.Abstract_E04MT_MONIT { - - public void eval() { - E04MTU e04mtu = new E04MTU(); - e04mtu.eval(this.HANDLE, this.RINFO, this.STATS, this.IUSER, this.RUSER, - this.CPUSER, this.INFORM); - this.INFORM = e04mtu.getINFORM(); - } - } -} diff --git a/simple_examples/int32/E04TCJE.java b/simple_examples/int32/E04TCJE.java deleted file mode 100644 index d28d78b..0000000 --- a/simple_examples/int32/E04TCJE.java +++ /dev/null @@ -1,263 +0,0 @@ -import com.nag.routines.E04.E04FFU; -import com.nag.routines.E04.E04GG; -import com.nag.routines.E04.E04GGU; -import com.nag.routines.E04.E04GGV; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RM; -import com.nag.routines.E04.E04TB; -import com.nag.routines.E04.E04TC; -import com.nag.routines.E04.E04TD; -import com.nag.routines.E04.E04ZM; -import java.io.BufferedReader; -import java.io.FileReader; -import java.text.NumberFormat; -import java.util.logging.Level; -import java.util.logging.Logger; -import java.util.Arrays; - -/** - * E04TC example program text. - * @author Mo - */ -public class E04TCJE { - - public static void main(String[] args) { - double[] rx, x, udt, udy; - double[] rinfo = new double[100], ruser = new double[0], - stats = new double[100]; - int ifail, isparse, nnzrd, nres, nvar, udnres; - int[] icolrd = new int[0], irowrd = new int[0], iuser = new int[0]; - int[] idx; - long cpuser, handle; // c_ptr - LSQFUN lsqfun = new LSQFUN(); - LSQGRD lsqgrd = new LSQGRD(); - LSQHES lsqhes = new LSQHES(); - LSQHPRD lsqhprd = new LSQHPRD(); - MONIT monit = new MONIT(); - - /* Header */ - System.out.printf(" E04TCJ Example Program Results\n\n"); - try { - - handle = 0L; - cpuser = 0L; - - BufferedReader br = new BufferedReader(new FileReader(args[0])); - String line = br.readLine(); // read the header - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - String[] data = line.split("\\s+"); - - /* Read number of residuals */ - nres = Integer.parseInt(data[0]); - - udnres = nres; - - /* Allocate memory */ - udt = new double[nres]; - udy = new double[nres]; - - /* Read observations */ - - for (int ii = 0; ii < nres; ii += 3) { - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - for (int jj = 0; jj < 3; ++jj) { - udt[ii+jj] = Double.parseDouble(data[jj]); - } - } - - for (int ii = 0; ii < nres; ii += 3) { - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - for (int jj = 0; jj < 3; ++jj) { - udy[ii+jj] = Double.parseDouble(data[jj]); - } - } - - /* try to fit the model */ - /* f(t) = at^2 + bt + c + d sin(omega t) */ - /* To the data {(t_i, y_i)} */ - nvar = 5; - - /* Initialize the NAG optimization handle */ - E04RA e04ra = new E04RA(); - ifail = 0; // hard fail - e04ra.eval(handle, nvar, ifail); - handle = e04ra.getHANDLE(); - - /* Define a dense nonlinear least-squares objective function */ - /* (isparse = 0 => the sparsity pattern of the Jacobian */ - /* doesn't need to be defined) */ - E04RM e04rm = new E04RM(); - isparse = 0; - nnzrd = 1; - e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); - - /* Set some optional parameters to control the output of the solver */ - E04ZM e04zm = new E04ZM(); - e04zm.eval(handle, "Print Options = No", ifail); - e04zm.eval(handle, "Print Solution = X", ifail); - e04zm.eval(handle, "Print Level = 1", ifail); - - System.out.println("First solve the problem with the outliers"); - System.out.println(); - System.out.println("--------------------------------------------------------"); - - /* Call the solver */ - E04GG e04gg = new E04GG(); - x = new double[nvar]; - for (int ii = 0; ii < nvar; ++ii) { - x[ii] = 1.0; - } - rx = new double[nres]; - iuser = new int[] {udnres}; - ruser = new double[2 * udnres];; - for (int ii = 0; ii < udnres; ii++) { - ruser[ii] = udt[ii]; - ruser[udnres + ii] = udy[ii]; - } - ifail = -1; - e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, - rx, rinfo, stats, iuser, ruser, cpuser, ifail); - - System.out.println("--------------------------------------------------------"); - System.out.println(); - System.out.println("Now remove the outlier residuals from the problem handle"); - System.out.println(); - System.out.println("--------------------------------------------------------"); - - /* Disable the two outlier residuals */ - E04TC e04tc = new E04TC(); - idx = new int[] {10, 20}; - e04tc.eval(handle, "NLS", 2, idx, ifail); - - /* Solve the problem again */ - for (int ii = 0; ii < nvar; ++ii) { - x[ii] = 1.0; - } - ifail = -1; - e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, - rx, rinfo, stats, iuser, ruser, cpuser, ifail); - - System.out.println("--------------------------------------------------------"); - System.out.println(); - System.out.println("Assuming the outliers points are measured again"); - System.out.println("we can enable the residuals and adjust the values"); - System.out.println(); - System.out.println("--------------------------------------------------------"); - - /* Fix the first variable to its known value of 0.3 */ - /* enable the residuals and adjust the values in the data */ - E04TD e04td = new E04TD(); - e04td.eval(handle, "variable", 1, 0.3, 0.3, ifail); - E04TB e04tb = new E04TB(); - e04tb.eval(handle, "NLS", 2, idx, ifail); - udy[9] = -0.515629; - udy[19] = 0.54920; - - /* Solve the problem */ - for (int ii = 0; ii < nvar; ++ii) { - x[ii] = 1.0; - } - ifail = -1; - e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, - rx, rinfo, stats, iuser, ruser, cpuser, ifail); - - } - catch (Exception ex) { - Logger.getLogger(E04TCJE.class.getName()).log(Level.SEVERE, null, ex); - } - - } - - public static class LSQFUN extends E04GG.Abstract_E04GG_LSQFUN { - - public void eval() { - int udnres; - double[] udt, udy; - - /* Unpack the user data from cpuser */ - udnres = this.IUSER[0]; - udt = Arrays.copyOfRange(this.RUSER, 0, udnres); - udy = Arrays.copyOfRange(this.RUSER, udnres, udnres + udnres); - - for (int i = 0; i < this.NRES; i++) { - this.RX[i] = 0.0; - } - - for (int i = 0; i < this.NRES; i++) { - this.RX[i] = (this.X[0] * Math.pow(udt[i],2) + this.X[1] * udt[i] + - this.X[2] + this.X[3] * Math.sin(this.X[4] * udt[i])) - - udy[i]; - } - - this.INFORM = 0; - - } - - } - - public static class LSQGRD extends E04GG.Abstract_E04GG_LSQGRD { - - public void eval() { - int udnres; - double[] udt, udy; - - /* Unpack the user data from cpuser */ - udnres = this.IUSER[0]; - udt = Arrays.copyOfRange(this.RUSER, 0, udnres); - udy = Arrays.copyOfRange(this.RUSER, udnres, udnres + udnres); - - for (int i = 1; i <= this.NRES; i++) { - this.RDX[((i-1)*this.NVAR + 1) - 1] = Math.pow(udt[i-1],2); - this.RDX[((i-1)*this.NVAR + 2) - 1] = udt[i-1]; - this.RDX[((i-1)*this.NVAR + 3) - 1] = 1.0; - this.RDX[((i-1)*this.NVAR + 4) - 1] = Math.sin(this.X[4] * udt[i-1]); - this.RDX[((i-1)*this.NVAR + 5) - 1] = this.X[3] * udt[i-1] * - Math.cos(this.X[4] * udt[i-1]); - - } - - this.INFORM = 0; - - } - - } - - public static class LSQHES extends E04GG.Abstract_E04GG_LSQHES { - - public void eval() { - E04GGU e04ggu = new E04GGU(); - e04ggu.eval(this.NVAR, this.X, this.NRES, this.LAMBDA, this.HX, - this.INFORM, this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ggu.getINFORM(); - } - - } - - public static class LSQHPRD extends E04GG.Abstract_E04GG_LSQHPRD { - - public void eval() { - E04GGV e04ggv = new E04GGV(); - e04ggv.eval(this.NVAR, this.X, this.Y, this.NRES, this.HXY, this.INFORM, - this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ggv.getINFORM(); - } - - } - - public static class MONIT extends E04GG.Abstract_E04GG_MONIT { - - public void eval() { - E04FFU e04ffu = new E04FFU(); - e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, - this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ffu.getINFORM(); - } - - } - -} diff --git a/simple_examples/int32/E04UCJE.java b/simple_examples/int32/E04UCJE.java deleted file mode 100644 index e43d457..0000000 --- a/simple_examples/int32/E04UCJE.java +++ /dev/null @@ -1,211 +0,0 @@ -import com.nag.routines.E04.E04UC; -import com.nag.routines.E04.E04WB; -import com.nag.routines.E04.E04UE; -import com.nag.routines.F06.DGEMV; -import java.util.Arrays; - -/** - * E04UC example program text. - * @author joed - */ -public class E04UCJE { - - public static final double ONE = 1.0, ZERO = 0.0; - public static final int INC1 = 1, LCWSAV = 1, LIWSAV = 610, LLWSAV = 120, LRWSAV = 475; - public static CONFUN confun = new CONFUN(); - public static OBJFUN objfun = new OBJFUN(); - - public static void main(String[] args) { - - /* Local Scalars */ - double objf; - int i, ifail, inform, iter, j, lda, ldcj, ldr, liwork, lwork, n, nclin, ncnln, sda, sdcjac; - /* Local Arrays */ - double[] a, bl, bu, c, cjac, clamda, objgrd, r, work, x; - double[] ruser = new double[1], rwsav = new double[LRWSAV]; - int[] istate, iwork; - int[] iuser = new int[1], iwsav = new int[LIWSAV]; - boolean[] lwsav = new boolean[LLWSAV]; - String[] cwsav = new String[LCWSAV]; - Arrays.fill(cwsav, - " "); - - System.out.println(" E04UCJ Example Program Results"); - - /* Set scalars */ - n = 4; - nclin = 1; - ncnln = 2; - liwork = 3*n + nclin + 2*ncnln; - lda = Math.max(1, nclin); - sda = (nclin > 0) ? n : 1; - ldcj = Math.max(1, ncnln); - sdcjac = (ncnln > 0) ? n : 1; - ldr = n; - - if (ncnln == 0 && nclin > 0) { - lwork = 2*n*n + 20*n + 11*nclin; - } - else if (ncnln > 0 && nclin >= 0) { - lwork = 2*n*n + n*nclin + 2*n*ncnln + 20*n + 11*nclin + 21*ncnln; - } - else { - lwork = 20*n; - } - - /* Set arrays */ - istate = new int[n + nclin + ncnln]; - iwork = new int[liwork]; - c = new double[Math.max(1, ncnln)]; - cjac = new double[ldcj * sdcjac]; - clamda = new double[n + nclin + ncnln]; - objgrd = new double[n]; - r = new double[ldr * n]; - work = new double[lwork]; - - a = new double[]{1.0, 1.0, 1.0, 1.0}; - bl = new double[]{1.0, 1.0, 1.0, 1.0, -1.0E+25, -1.0E+25, 25.0}; - bu = new double[]{5.0, 5.0, 5.0, 5.0, 20.0, 40.0, 1.0E+25}; - x = new double[]{1.0, 5.0, 5.0, 1.0}; - - /* Initialise E04UC */ - E04WB e04wb = new E04WB(); - ifail = 0; - e04wb.eval("E04UCA", cwsav, LCWSAV, lwsav, LLWSAV, iwsav, LIWSAV, rwsav, LRWSAV, ifail); - E04UE e04ue = new E04UE(); - inform = 0; - e04ue.eval("Print Level = 10", lwsav, iwsav, rwsav, inform); - - /* Solve the problem */ - E04UC e04uc = new E04UC(); - iter = 0; - objf = 0.0; - ifail = -1; - e04uc.eval(n, nclin, ncnln, lda, ldcj, ldr, a, bl, bu, confun, objfun, iter, istate, c, - cjac, clamda, objf, objgrd, r, x, iwork, liwork, work, lwork, iuser, ruser, - lwsav, iwsav, rwsav, ifail); - iter = e04uc.getITER(); - objf = e04uc.getOBJF(); - ifail = e04uc.getIFAIL(); - - if ((0 >= ifail && ifail <= 6) || ifail == 8) { - System.out.println(); - System.out.println(" Varbl Istate Value Lagr Mult"); - System.out.println(); - - for (i = 0; i < n; i++) { - System.out.printf(" V %3d %3d %13.6G %13.4G\n", i+1, istate[i], x[i], clamda[i]); - } - - if (nclin > 0) { - - /* A*x --> work. - * The NAG name equivalent of DGEMV is F06PA */ - DGEMV dgemv = new DGEMV(); - dgemv.eval("N", nclin, n, ONE, a, lda, x, INC1, ZERO, work, INC1); - - System.out.println(); - System.out.println(); - System.out.println(" L Con Istate Value Lagr Mult"); - System.out.println(); - - for (i = n; i < n+nclin; i++) { - j = i - n; - System.out.printf(" L %3d %3d %13.6G %13.4G\n", j+1, istate[i], work[j], clamda[i]); - } - - } - - if (ncnln > 0) { - System.out.println(); - System.out.println(); - System.out.println(" N Con Istate Value Lagr Mult"); - System.out.println(); - - for (i = n+nclin; i < n+nclin+ncnln; i++) { - j = i - n - nclin; - System.out.printf(" N %3d %3d %13.6G %13.4G\n", j+1, istate[i], c[j], clamda[i]); - } - - } - - System.out.println(); - System.out.println(); - System.out.printf(" Final objective value = %11.7G\n", objf); - - } - - } - - /** Routine to evaluate objective function and its 1st derivatives. */ - public static class OBJFUN extends E04UC.Abstract_E04UC_OBJFUN { - - public void eval() { - - if (MODE == 0 || MODE == 2) { - OBJF = X[0] * X[3] * (X[0]+X[1]+X[2]) + X[2]; - } - - if (MODE == 1 || MODE == 2) { - OBJGRD[0] = X[3] * (X[0]+X[0]+X[1]+X[2]); - OBJGRD[1] = X[0] * X[3]; - OBJGRD[2] = X[0] * X[3] + ONE; - OBJGRD[3] = X[0] * (X[0]+X[1]+X[2]); - } - - } - - } - - /** Routine to evaluate the nonlinear constraints and their 1st derivatives. */ - public static class CONFUN extends E04UC.Abstract_E04UC_CONFUN { - - public void eval() { - - if (NSTATE == 1) { - - /* First call to CONFUN. Set all Jacobian elements to zero. - * Note that this will only work when 'Derivative Level = 3' - * (the default; see Section 11.2). */ - - for (int i = 0; i < CJAC.length; ++i) { - CJAC[i] = 0; - } - - } - - if (NEEDC[0] > 0) { - - if (MODE == 0 || MODE == 2) { - C[0] = X[0]*X[0] + X[1]*X[1] + X[2]*X[2] + X[3]*X[3]; - } - - if (MODE == 1 || MODE == 2) { - CJAC[0] = X[0] + X[0]; - CJAC[LDCJ] = X[1] + X[1]; - CJAC[2*LDCJ] = X[2] + X[2]; - CJAC[3*LDCJ] = X[3] + X[3]; - } - - } - - if (NEEDC[1] > 0) { - - if (MODE == 0 || MODE == 2) { - C[1] = X[0]*X[1]*X[2]*X[3]; - } - - if (MODE == 1 || MODE == 2) { - CJAC[1] = X[1]*X[2]*X[3]; - CJAC[1+LDCJ] = X[0]*X[2]*X[3]; - CJAC[1+2*LDCJ] = X[0]*X[1]*X[3]; - CJAC[1+3*LDCJ] = X[0]*X[1]*X[2]; - } - - } - - } - - } - -} diff --git a/simple_examples/int32/E04YAJE.java b/simple_examples/int32/E04YAJE.java deleted file mode 100644 index 72d80da..0000000 --- a/simple_examples/int32/E04YAJE.java +++ /dev/null @@ -1,112 +0,0 @@ -import com.nag.routines.E04.E04YA; - - -/** - * E04YA example program text. - * @author joed - */ -public class E04YAJE { - - public static LSQFUN lsqfun = new LSQFUN(); - public static final int LIW = 1, MDEC = 15, NDEC = 3; - public static final int LDFJAC = MDEC; - public static final int LW = 3*NDEC + MDEC + MDEC*NDEC; - public static double[] t = new double[MDEC*NDEC], y = new double[MDEC]; - - /** Routine to evaluate the residuals and their 1st derivatives. */ - public static class LSQFUN extends E04YA.Abstract_E04YA_LSQFUN { - - public void eval() { - double denom, dummy; - int i; - - for (i = 0; i < M; i++) { - denom = (XC[1] * t[MDEC + i]) + (XC[2] * t[2*MDEC + i]); - - if (IFLAG != 1) { - FVEC[i] = XC[0] + (t[i]/denom) - y[i]; - } - - if (IFLAG != 0) { - FJAC[i] = 1.0; - dummy = -1.0/(denom*denom); - FJAC[MDEC + i] = t[i] * t[MDEC + i] * dummy; - FJAC[2*MDEC + i] = t[i] * t[2*MDEC + i] * dummy; - } - - } - } - - } - - public static void main(String[] args) { - int i, ifail, m, n; - double[] fjac = new double[LDFJAC*NDEC], fvec = new double[MDEC], - w = new double[LW], x = new double[NDEC]; - int[] iw = new int[LIW]; - - System.out.println(" E04YAJ Example Program Results"); - - n = NDEC; - m = MDEC; - - /* Observations of TJ (J = 1, 2, ..., n) are held in T(I, J) - * (I = 1, 2, ..., m) */ - - y = new double[]{0.14, 0.18, 0.22, 0.25, 0.29, 0.32, 0.35, 0.39, 0.37, - 0.58, 0.73, 0.96, 1.34, 2.10, 4.39}; - for (i = 0; i < m; i++) { - t[i] = i + 1.0; - t[m + i] = 15.0 - i; - t[2*m + i] = -Math.abs(i - 7.0) + 8.0; - } - - /* Set up an arbitrary point at which to check the 1st derivatives */ - - x[0] = 0.19; - x[1] = -1.34; - x[2] = 0.88; - - System.out.println(); - System.out.println("The test point is"); - System.out.printf(" "); - for (i = 0; i < n; i++) { - System.out.printf("%10.5f", x[i]); - } - System.out.printf("\n"); - - E04YA e04ya = new E04YA(); - ifail = -1; - e04ya.eval(m, n, lsqfun, x, fvec, fjac, LDFJAC, iw, LIW, w, LW, ifail); - ifail = e04ya.getIFAIL(); - - if (ifail >= 0 && ifail != 1) { - - switch (ifail) { - case 0: - System.out.println(); - System.out.println("1st derivatives are consistent with residual values"); - break; - case 2: - System.out.println(); - System.out.println("Probable error in calculation of 1st derivatives"); - break; - default: - } - - System.out.println(); - System.out.println("At the test point, LSQFUN gives"); - System.out.println(); - System.out.println(" Residuals 1st derivatives"); - for (i = 0; i < m; i++) { - System.out.printf(" %15.3E", fvec[i]); - System.out.printf("%15.3E", fjac[i]); - System.out.printf("%15.3E", fjac[LDFJAC + i]); - System.out.printf("%15.3E\n", fjac[2*LDFJAC + i]); - } - - } - - } - -} diff --git a/simple_examples/int32/F01ADJE.java b/simple_examples/int32/F01ADJE.java deleted file mode 100644 index 4167f71..0000000 --- a/simple_examples/int32/F01ADJE.java +++ /dev/null @@ -1,39 +0,0 @@ -import com.nag.routines.F01.F01AD; -import com.nag.routines.X04.X04CA; - - -/** - * F01AD example program text. - * @author joed - */ -public class F01ADJE { - - public static void main(String[] args) { - - int i, ifail, lda, n; - double[] a; - - System.out.println(" F01ADJ Example Program Results"); - System.out.println(); - - n = 4; - lda = n + 1; - a = new double[] { - 5.0, 7.0, 6.0, 5.0, 0.0, - 7.0, 10.0, 8.0, 7.0, 0.0, - 6.0, 8.0, 10.0, 9.0, 0.0, - 5.0, 7.0, 9.0, 10.0, 0.0 - }; - - F01AD f01ad = new F01AD(); - ifail = -1; - f01ad.eval(n, a, lda, ifail); - ifail = f01ad.getIFAIL(); - - /* Print the result matrix A */ - X04CA x04ca = new X04CA(); - x04ca.eval("L", "B", lda, n, a, lda, "Lower triangle of inverse", ifail); - - } - -} diff --git a/simple_examples/int32/F01CKJE.java b/simple_examples/int32/F01CKJE.java deleted file mode 100644 index ed3ffa2..0000000 --- a/simple_examples/int32/F01CKJE.java +++ /dev/null @@ -1,60 +0,0 @@ -import com.nag.routines.F01.F01CK; -import com.nag.routines.X04.X04CB; -import java.util.logging.Level; -import java.util.logging.Logger; - - -/** - * F01CK example program text. - * @author ludovic - */ -public class F01CKJE { - - public static void main(String[] args) { - - double[] a, b, c, z; - int n, p, m, iz, opt; - int ifail; - - m = 3; - n = p = 2; - iz = 1; - opt = 1; - a = new double[n * p]; - b = new double[n * m]; - c = new double[m * p]; - z = new double[iz]; - ifail = 0; - - System.out.println(" F01CKJ Example Program Results"); - - // Initialising b and c - - for (int i = 0; i < m; ++i) { - for (int j = 0; j < n; ++j) { - b[j+i*n] = (double) (i+j); - } - for (int j = 0; j < p; ++j) { - c[i+j*m] = (double) (i+j); - } - } - - F01CK f01ck = new F01CK(a, b, c, n, p, m, z, iz, opt, ifail); - f01ck.eval(); - ifail = f01ck.getIFAIL(); - String title = "Matrix A"; - System.out.println(); - System.out.flush(); - ifail = 0; - - String matrix = "G", diag = "N", nolabel = "N", form = "F7.1"; - String[] dummy = {" "}; - int ncols = 80; - int indent = 0; - - (new X04CB()).eval(matrix,diag,n,p,a,n,form,title,nolabel,dummy,nolabel, - dummy,ncols,indent, ifail); - - } - -} diff --git a/simple_examples/int32/F01CRJE.java b/simple_examples/int32/F01CRJE.java deleted file mode 100644 index c10b284..0000000 --- a/simple_examples/int32/F01CRJE.java +++ /dev/null @@ -1,47 +0,0 @@ -import com.nag.routines.F01.F01CR; -import java.util.logging.Level; -import java.util.logging.Logger; - - -/** - * F01CR example program text. - * @author ludovic - */ -public class F01CRJE { - - public static void main(String[] args) { - System.out.println(" F01CRJ Example Program Results"); - double[] a; - int m,n,mn,lmove; - int[] move; - int ifail; - n = 7; - m = 3; - mn = m*n; - lmove = (m + n)/2; - a = new double[mn]; - move = new int[lmove]; - ifail = 1; - - for (int i = 0; i < mn; i++) { - a[i] = i+1.0; - } - - F01CR f01cr = new F01CR(a, m, n, mn, move, lmove, ifail); - f01cr.eval(); - - System.out.println(); - int index = 0; - for (int i = 0; i < mn; ++i) { - System.out.printf(" %7.1f",a[i]); - ++index; - if (index == 7) { - System.out.println(); - index = 0; - } - } - System.out.println(); - - } - -} diff --git a/simple_examples/int32/F01DGJE.java b/simple_examples/int32/F01DGJE.java deleted file mode 100644 index 107137f..0000000 --- a/simple_examples/int32/F01DGJE.java +++ /dev/null @@ -1,72 +0,0 @@ -import com.nag.routines.F01.F01DG; -import com.nag.routines.X04.X04CA; - -/** - * F01DG example program text. - * @author joed - * @since 27.0.0.0 - */ -public class F01DGJE { - - /** - * F01DG example main program. - */ - public static void main(String[] args) { - - F01DG f01dg = new F01DG(); - X04CA x04ca = new X04CA(); - double alpha; - int i, ifail, lda, ldb, n; - String side, transa, uplo; // Length 1 - double[] a, b; - - System.out.println("F01DGJ Example Program Results\n"); - - // Values for side, uplo and transa - side = "L"; - uplo = "U"; - transa = "T"; - - // Order of square matrices - n = 4; - lda = n; - ldb = n; - - // Scaling constant alpha - alpha = 0.4; - - // Set input matrices (column-major order) - a = new double[]{ - 1.5, 0.0, 0.0, 0.0, - 2.3, 3.4, 0.0, 0.0, - 6.7, 5.4, 8.1, 0.0, - 1.9, 8.6, 2.0, 5.9 - }; - b = new double[]{ - 3.5, 0.0, 0.0, 0.0, - 2.1, 5.6, 0.0, 0.0, - 4.0, 2.1, 1.7, 0.0, - 2.1, 2.5, 1.1, 7.4 - }; - - /* ifail: behaviour on error exit - * = 0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft */ - ifail = 0; - - // Find B=alpha*A*B - f01dg.eval(side, uplo, transa, n, alpha, a, lda, b, ldb, ifail); - ifail = f01dg.getIFAIL(); - - // Print the solution - if (ifail == 0) { - if (transa.equals("N")) { - x04ca.eval(uplo, "N", n, n, b, n, "Solution matrix B", ifail); - } - else { - x04ca.eval("G", "N", n, n, b, n, "Solution matrix B", ifail); - } - } - - } - -} diff --git a/simple_examples/int32/F01ELJE.java b/simple_examples/int32/F01ELJE.java deleted file mode 100644 index 9986c6c..0000000 --- a/simple_examples/int32/F01ELJE.java +++ /dev/null @@ -1,89 +0,0 @@ -import com.nag.routines.F01.F01EL; -import com.nag.routines.Routine; -import com.nag.routines.X04.X04CA; -import com.nag.types.NAGComplex; -import com.nag.types.NAGComplexInterface; -import java.util.Arrays; - -/** - * F01EL example program text. - * @author joed - */ -public class F01ELJE { - - public static void main(String[] args) { - - F01EL f01el = new F01EL(); - X04CA x04ca = new X04CA(); - - FCos2 fcos2 = new FCos2(); - double imnorm; - int i, ifail, iflag, lda, n; - double[] a, ruser = new double[1]; - int[] iuser = new int[1]; - - Routine.setComplex(new NAGComplex()); - - System.out.println(" F01ELJ Example Program Results"); - System.out.println(); - - // Problem data - n = 4; - a = new double[] { - 3.0, -1.0, 0.0, 2.0, 0.0, 1.0, 2.0, 1.0, 1.0, 3.0, 2.0, -1.0, 2.0, 1.0, 1.0, 1.0 - }; - - // Find f(A) - lda = n; - iflag = 0; - imnorm = 0; - ifail = 0; - f01el.eval(n, a, lda, fcos2, iuser, ruser, iflag, imnorm, ifail); - - // Print solution - ifail = 0; - x04ca.eval("G", "N", n, n, a, lda, "F(A) = COS(2A)", ifail); - - // Print the norm of the imaginary part to check it is small - System.out.println(); - System.out.println(" Imnorm = " + imnorm); - - } - - public static class FCos2 extends F01EL.Abstract_F01EL_F { - - /* These methods should really be part of an extension of NAGComplex. */ - - private NAGComplex complexCos(NAGComplexInterface z) { - NAGComplex cosz = new NAGComplex(); - cosz.setRe(Math.cos(z.getRe()) * Math.cosh(z.getIm())); - cosz.setIm(-Math.sin(z.getRe()) * Math.sinh(z.getIm())); - return cosz; - } - - private NAGComplex complexMult(NAGComplexInterface a, NAGComplexInterface b) { - NAGComplex ab = new NAGComplex(); - ab.setRe((a.getRe()*b.getRe()) - (a.getIm()*b.getIm())); - ab.setIm((a.getRe()*b.getIm()) + (a.getIm()*b.getRe())); - return ab; - } - - /* Calculate F(A) = COS(2A) */ - - public void eval() { - - NAGComplex two = new NAGComplex(); - two.setRe(2.0); - two.setIm(0.0); - - for (int i = 0; i < this.NZ; i++) { - this.FZ[i] = (NAGComplex) complexCos(complexMult(two, this.Z[i])); - } - - this.IFLAG = 0; - - } - - } - -} diff --git a/simple_examples/int32/F01EMJE.java b/simple_examples/int32/F01EMJE.java deleted file mode 100644 index 716a7b5..0000000 --- a/simple_examples/int32/F01EMJE.java +++ /dev/null @@ -1,106 +0,0 @@ -import com.nag.routines.F01.F01EM; -import com.nag.routines.X04.X04CA; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; - -/** - * F01EMJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class F01EMJE{ - - /** - * F01EMJ Example main program - */ - public static void main(String[] args){ - double imnorm = 0; - int ifail, iflag = 0, lda, n; //placeholders - double[] a, ruser; - int[] iuser; - - ruser = new double[1]; - iuser = new int[1]; - - System.out.println("F01EMJ Example Program Results"); - System.out.println(); - - //Tell wrapper what type of complex type is going to be used - Routine.setComplex(new NAGComplex()); - - //Problem size - n = 4; - lda = n; - - //Allocate - a = new double[lda * n]; - - //Data - //A = ( 1, 0,-2, 1) - // (-1, 2, 0, 1) - // ( 2, 0, 1, 0) - // ( 1, 0,-2, 2) - a[0] = 1; - a[1] = -1; - a[2] = 2; - a[3] = 1; - a[4] = 0; - a[5] = 2; - a[6] = 0; - a[7] = 0; - a[8] = -2; - a[9] = 0; - a[10] = 1; - a[11] = -1; - a[12] = 1; - a[13] = 1; - a[14] = 0; - a[15] = 2; - - //Find f(A) - ifail = 0; - //Create fexp2 object to pass to wrapper - fexp2 f = new fexp2(); - F01EM f01em = new F01EM(n, a, lda, f, iuser, ruser, iflag, imnorm, ifail); - f01em.eval(); - - //Print solution - ifail = 0; - X04CA x04ca = new X04CA("G", "N", n, n, a, lda, "F(A) = EXP(2A)", ifail); - x04ca.eval(); - - //Print the norm oof the imaginary part to check if it small - System.out.println(); - System.out.printf("Imnorm = %.2f\n", imnorm); - } - - /** - * fexp2 class representing f routine argument - */ - public static class fexp2 extends F01EM.Abstract_F01EM_F{ - public void eval(){ - NAGComplex two = new NAGComplex(2, 0); - NAGComplex twoPowM = new NAGComplex(2, 0); - - twoPowM.setRe(Math.pow(2, this.M)); - - for(int i = 0; i < this.NZ; i++){ - this.FZ[i] = NAGComplex.multiply(twoPowM, this.complexExp(NAGComplex.multiply(two, (NAGComplex) this.Z[i]))); - } - - //Set iflag nonzero to terminate exectuion for any reason - this.IFLAG = 0; - } - - //Raises e ^ z where z is a complex number - //Uses eulers formula; - //c ^ (a + bi) = c^a * ((cos(bln(c))) + isin(bln(c))) - public NAGComplex complexExp(NAGComplex x){ - NAGComplex tmp = new NAGComplex(); - tmp.setRe(Math.cos(x.getIm())); - tmp.setIm(Math.sin(x.getIm())); - NAGComplex ans = NAGComplex.multiply(new NAGComplex(Math.exp(x.getRe()), 0), tmp); - return ans; - } - } -} diff --git a/simple_examples/int32/F02EKJE.java b/simple_examples/int32/F02EKJE.java deleted file mode 100644 index 3737022..0000000 --- a/simple_examples/int32/F02EKJE.java +++ /dev/null @@ -1,227 +0,0 @@ -import com.nag.routines.F02.F02EK; -import com.nag.routines.F12.F12AD; -import com.nag.routines.Routine; -import com.nag.routines.X02.X02AJ; -import com.nag.types.NAGComplex; -import com.nag.types.NAGComplexInterface; -import java.util.Arrays; - -/** - * F02EK example program text. - * @author joed - */ -public class F02EKJE { - - public static MYMONIT mymonit = new MYMONIT(); - public static MYOPTION myoption = new MYOPTION(); - - public static void main(String[] args) { - F02EK f02ek = new F02EK(); - X02AJ x02aj = new X02AJ(); - double h, rho, s, sigma; - int ifail, imon, k, ldv, maxit, mode, n, nconv, ncv, nev, nnz, nx, - prtlvl; - NAGComplex complex = new NAGComplex(); - double[] a, resid, v, ruser = new double[1]; - int[] icolzp, irowix, iuser = new int[4]; - NAGComplex[] w; - - Routine.setComplex(complex); - - System.out.println(" F02EKJ Example Program Results"); - System.out.println(); - - nx = 10; - nev = 4; - ncv = 20; - rho = 10.0; - sigma = 5.5; - - n = nx * nx; - nnz = 3*n - 2; - ldv = n; - - resid = new double[ncv]; - a = new double[nnz]; - icolzp = new int[n + 1]; - irowix = new int[nnz]; - w = (NAGComplex[]) complex.getArrayOfInstances(ncv); - v = new double[ldv * ncv]; - - // Construct A in compressed column storage (CCS) format where: - // A{ i , i } = 2 + i - // A{i+1, i } = 3 - // A{ i , i+1} = rho/(2n+2) - 1 - - h = 1.0 / (double)(n+1); - s = (rho * h / 2.0) - 1.0; - - a[0] = 2.0 + 1.0; - a[1] = 3.0; - icolzp[0] = 1; - irowix[0] = 1; - irowix[1] = 2; - k = 3; - - for (int i = 1; i < n - 1; i++) { - icolzp[i] = k; - irowix[k - 1] = i; - irowix[k] = i + 1; - irowix[k + 1] = i + 2; - a[k - 1] = s; - a[k] = 2.0 + (double)(i + 1); - a[k + 1] = 3.0; - k += 3; - } - - icolzp[n - 1] = k; - icolzp[n] = k + 2; - irowix[k - 1] = n - 1; - irowix[k] = n; - a[k - 1] = s; - a[k] = 2.0 + (double)(n); - - // Set some options via iuser array and return routine argument OPTION - // iuser[0] = print level - // iuser[1] = iteration limit - // iuser[2] > 0 means shifted-invert mode - // iuser[3] > 0 means print monitoring info - - prtlvl = 0; - maxit = 500; - mode = 1; - imon = 1; - - if (prtlvl > 0) { - imon = 0; - } - - iuser[0] = prtlvl; - iuser[1] = maxit; - iuser[2] = mode; - iuser[3] = imon; - - nconv = 0; // placeholder value, nconv is output only - ifail = 0; // hard exit on error - - f02ek.eval( - n, nnz, a, icolzp, irowix, nev, ncv, sigma, mymonit, myoption, - nconv, w, v, ldv, resid, iuser, ruser, ifail - ); - ifail = f02ek.getIFAIL(); - nconv = f02ek.getNCONV(); - - System.out.println(); - System.out.printf( - " The %4d Ritz values of closest to %13.5E are:\n", nconv, sigma - ); - - // Get machine precision - double mp = x02aj.eval(); - - for (int i = 0; i < nconv; i++) { - if (resid[i] > (double)(100*n*mp)) { - System.out.printf( - " %8d ( %13.5E , %13.5E ) %13.5E\n", - i + 1, w[i], resid[i] - ); - } - else { - System.out.printf( - " %8d ( %13.5E , %13.5E )\n", - i + 1, w[i].getRe(), w[i].getIm() - ); - } - } - - } - - public static class MYOPTION extends F02EK.Abstract_F02EK_OPTION { - - public void eval() { - F12AD f12ad = new F12AD(); - int ifail1; - String rec = " "; - - this.ISTAT = 0; - - if (this.IUSER[0] > 0) { - System.out.printf("Print Level=%5d\n", this.IUSER[0]); - ifail1 = 1; - f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[1] > 100) { - System.out.printf("Iteration Limit=%5d\n", this.IUSER[1]); - ifail1 = 1; - f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[2] > 0) { - ifail1 = 1; - f12ad.eval( - "Shifted Inverse Real ", this.ICOMM, this.COMM, ifail1 - ); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - } - - } - - public static class MYMONIT extends F02EK.Abstract_F02EK_MONIT { - - public NAGComplexInterface[] getW() { - return this.W; - } - - public void eval() { - - if (this.IUSER[3] > 0) { - - if (this.NITER == 1 && this.IUSER[2] > 0) { - System.out.printf( - " Arnoldi basis vectors used:%4d\n", this.NCV - ); - System.out.printf( - " The following Ritz values (mu) are related to the\n" - + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" - ); - } - - System.out.println(); - System.out.printf(" Iteration number %4d\n", this.NITER); - System.out.printf( - " Ritz values converged so far (%4d) and their Ritz" - + " estimates:\n", this.NCONV - ); - - for (int i = 0; i < this.NCONV; i++) { - System.out.printf( - " %4d (%13.5E,%13.5E) %13.5E\n", - i + 1, this.W[i].getRe(), this.W[i].getIm(), - this.RZEST[i] - ); - } - - System.out.printf(" Next (unconverged) Ritz value:\n"); - - System.out.printf( - " %4d (%13.5E,%13.5E)\n", - this.NCONV + 1, this.W[NCONV].getRe(), this.W[NCONV].getIm() - ); - - } - - this.ISTAT = 0; - - } - - } - -} diff --git a/simple_examples/int32/F02FKJE.java b/simple_examples/int32/F02FKJE.java deleted file mode 100644 index 0dd7ab9..0000000 --- a/simple_examples/int32/F02FKJE.java +++ /dev/null @@ -1,230 +0,0 @@ -import com.nag.routines.F02.F02FK; -import com.nag.routines.F12.F12FD; -import com.nag.routines.X04.X04AB; -import com.nag.routines.X04.X04CA; -import java.util.Arrays; - -/** - * F02FK example program text. - * @author joed - */ -public class F02FKJE { - - public static MYMONIT mymonit = new MYMONIT(); - public static MYOPTION myoption = new MYOPTION(); - - public static void main(String[] args) { - F02FK f02fk = new F02FK(); - X04AB x04ab = new X04AB(); - X04CA x04ca = new X04CA(); - double h2, sigma; - int iset = 1, ifail, imon, k, ldv, lo, maxit, mode, n, nconv, ncv, nev, - nnz, nx, outchn, prtlvl; - double[] a, dPrint, resid, v, w, ruser = new double[1]; - int[] icol, irow, iuser = new int[4]; - - - System.out.println(" F02FKJ Example Program Results"); - System.out.println(); - - nx = 20; - nev = 8; - ncv = 20; - sigma = 1.0; - - // Construct the matrix A in sparse form and store in A. - // The main diagonal of A is full and there are two subdiagonals of A: - // the first and the nx-th. - - n = nx * nx; - nnz = (3 * n) - (2 * nx); - a = new double[nnz]; - irow = new int[nnz]; - icol = new int[nnz]; - - // Zero out A. - Arrays.fill(a, 0.0); - - // Main diagonal of A. - h2 = 1.0 / (double)((nx + 1) * (nx + 1)); - for (int i = 1; i <= n; i++) { - irow[i - 1] = i; - icol[i - 1] = i; - a[i - 1] = 4.0 / h2; - } - - // First subdiagonal of A. - k = n; - for (int i = 1; i <= nx; i++) { - lo = (i - 1) * nx; - for (int j = lo + 1; j <= lo + nx - 1; j++) { - k += 1; - irow[k - 1] = j + 1; - icol[k - 1] = j; - a[k - 1] = -1.0 / h2; - } - } - - // nx-th subdiagonal. - for (int i = 1; i <= nx - 1; i++) { - lo = (i - 1) * nx; - for (int j = lo + 1; j <= lo + nx; j++) { - k += 1; - irow[k - 1] = j + nx; - icol[k - 1] = j; - a[k - 1] = -1.0 / h2; - } - } - - // Set some options via iuser array and routine argument OPTION. - // iuser[0] = print level, - // iuser[1] = iteration limit, - // iuser[2]>0 means shifted-invert mode - // iuser[3]>0 means print monitoring info - - prtlvl = 0; - maxit = 500; - mode = 1; - imon = 0; - - ruser[0] = 1.0; - iuser[0] = prtlvl; - iuser[1] = maxit; - iuser[2] = mode; - iuser[3] = imon; - - // Find eigenvalues of largest magnitude and the corresponding - // eigenvectors. - - ldv = n; - w = new double[ncv]; - v = new double[ldv * ncv]; - resid = new double[n]; - - nconv = 0; // placeholder - - ifail = -1; - f02fk.eval( - n, nnz, a, irow, icol, nev, ncv, sigma, mymonit, myoption, nconv, - w, v, ldv, resid, iuser, ruser, ifail - ); - ifail = f02fk.getIFAIL(); - nconv = f02fk.getNCONV(); - if (ifail != 0) { - System.err.println(" ** F02FK returned with IFAIL = " + ifail); - } - - - - // Print Eigenvalues and the residual norm ||A*x - lambda*x||. - dPrint = new double[nconv * 2]; - for (int i = 1; i <= nconv; i++) { - dPrint[getIdx(i, 1, nconv)] = w[i - 1]; - dPrint[getIdx(i, 2, nconv)] = resid[i - 1]; - } - - System.out.println(); - - ifail = 0; - x04ca.eval( - "G", "N", nconv, 2, dPrint, nconv, " Ritz values and residuals", - ifail - ); - - } - - public static class MYOPTION extends F02FK.Abstract_F02FK_OPTION { - - public void eval() { - F12FD f12fd = new F12FD(); - int ifail1; - String rec = " "; // Required len = 25 - - this.ISTAT = 0; - - if (this.IUSER[0] > 0) { - System.out.printf(" Print Level=%5d\n", this.IUSER[0]); - ifail1 = 1; - f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12fd.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[1] > 100) { - System.out.printf(" Iteration Limit=%5d\n", this.IUSER[1]); - ifail1 = 1; - f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12fd.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[2] > 0) { - ifail1 = 1; - f12fd.eval( - "Shifted Inverse ", this.ICOMM, this.COMM, ifail1 - ); - ifail1 = f12fd.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - } - - } - - public static class MYMONIT extends F02FK.Abstract_F02FK_MONIT { - - public void eval() { - - if (this.IUSER[3] > 0) { - - if (this.NITER == 1 && this.IUSER[2] > 0) { - System.out.printf( - " Arnoldi basis vectors used:%4d\n", this.NCV - ); - System.out.printf( - " The following Ritz values (mu) are related to the\n" - + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" - ); - } - - System.out.println(); - System.out.printf(" Iteration number %4d\n", this.NITER); - System.out.printf( - " Ritz values converged so far(%4d) and their Ritz" - + " estimates:\n", this.NCONV - ); - - for (int i = 0; i < this.NCONV; i++) { - System.out.printf( - " %4d %13.5E %13.5E\n", i+1, this.W[i], this.RZEST[i] - ); - } - - System.out.printf(" Next (uncoverged) Ritz value:\n"); - System.out.printf( - " %4d %13.5E\n", this.NCONV + 1, this.W[this.NCONV + 1] - ); - - } - - this.ISTAT = 0; - - } - - } - - /** - * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based - * Java index. - * - *

    Fortran array definition: - * a(dimX, *) - * - *

    Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return ((y-1) * dimX) + (x-1); - } - -} diff --git a/simple_examples/int32/F02WGJE.java b/simple_examples/int32/F02WGJE.java deleted file mode 100644 index 36c26c6..0000000 --- a/simple_examples/int32/F02WGJE.java +++ /dev/null @@ -1,132 +0,0 @@ -import com.nag.routines.F02.F02WG; -import java.util.Arrays; - -/** - * F02WG example program text. - * @author joed - */ -public class F02WGJE { - - public static AV av = new AV(); - - public static void main(String[] args) { - int ifail, k, ldu, ldv, m, n, nconv, ncv; - double[] resid, sigma, u, v; - double[] ruser = new double[1]; - int[] iuser = new int[1]; - - /* Set up wrappers */ - F02WG f02wg = new F02WG(); - - System.out.println(" F02WGJ Example Program Results\n"); - - /* Set F02WG args */ - m = 100; - n = 500; - k = 4; - ncv = 10; - nconv = 0; - ldu = m; - ldv = n; - resid = new double[ncv]; - sigma = new double[ncv]; - u = new double[ldu * ncv]; - v = new double[ldv * ncv]; - ifail = 0; - - /* Call routine */ - f02wg.eval( - m, // Rows in A - n, // Cols in A - k, // Num. of singular values to be computed - ncv, // Dimension of sigma and resid - av, // Subroutine that returns Ax or (A^T)x - nconv, // [Output] - sigma, // [Output] - u, // [Output] - ldu, // 1st dimension of u - v, // [Output] - ldv, // 1st dimension of v - resid, // [Output] - iuser, - ruser, - ifail - ); - - /* Get non-array output args */ - ifail = f02wg.getIFAIL(); - nconv = f02wg.getNCONV(); - - /* Print results */ - System.out.println(" Singular Value Residual"); - for (int i = 0; i < nconv; i++) { - System.out.printf( - " %10.5f %10.2G\n", sigma[i], resid[i] - ); - } - - } - - public static class AV extends F02WG.Abstract_F02WG_AV { - - public void eval() { - - double H = 1.0 / ((double)(this.M + 1)); - double K = 1.0 / ((double)(this.N + 1)); - - if (this.IFLAG == 1) { - - for (int i = 0; i < this.M; i++) { - this.AX[i] = 0.0; - } - - double S = 0.0; - double T = 0.0; - - for (int j = 0; j < this.N; j++) { - T += K; - S = 0.0; - - for (int i = 0; i < Math.min(j+1, this.M); i++) { - S += H; - this.AX[i] += K * S * (T - 1.0) * this.X[j]; - } - for (int i = j + 1; i < this.M; i++) { - S += H; - this.AX[i] += K * T * (S - 1.0) * this.X[j]; - } - - } - - } - else { - - for (int i = 0; i < this.N; i++) { - this.AX[i] = 0.0; - } - - double S = 0.0; - double T = 0.0; - - for (int j = 0; j < this.N; j++) { - T += K; - S = 0.0; - - for (int i = 0; i < Math.min(j+1, this.M); i++) { - S += H; - this.AX[j] += K * S * (T - 1.0) * this.X[i]; - } - for (int i = j + 1; i < this.M; i++) { - S += H; - this.AX[j] += K * T * (S - 1.0) * this.X[i]; - } - - } - - } - - } - - } - -} diff --git a/simple_examples/int32/F03BAJE.java b/simple_examples/int32/F03BAJE.java deleted file mode 100644 index 673ddec..0000000 --- a/simple_examples/int32/F03BAJE.java +++ /dev/null @@ -1,108 +0,0 @@ -import com.nag.routines.F03.F03BA; -import com.nag.routines.F07.F07AD; -import com.nag.routines.X04.X04CA; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * F03BAJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class F03BAJE{ - - /** - * F03BAJ example main program. - */ - public static void main(String[] args){ - double d = 0; - int id = 0, ifail, info = 0, lda = 0, n = 0; - double[] a; - int[] ipiv; - - //Should initialise values so java doesn't give any errors because of try/catch - a = new double[n]; - ipiv = new int[n]; - - System.out.println("F03BAJ Example Program Results"); - - //If file name not given print usage info - if(args.length != 1){ - F03BAJE.usage(); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[1]); - - lda = n; - - //reallocate with values from data file - a = new double[n * lda]; - ipiv = new int[n]; - - //read in matrix - for(int i = 0; i < n; i++){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int j = 0; j < n; j++){ - a[i + (j * n)] = Double.parseDouble(sVal[j]); - } - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - F07AD f07ad = new F07AD(n, n, a, lda, ipiv, info); - f07ad.eval(); - - ifail = 0; - - //Print out matrix - System.out.println(); - X04CA x04ca = new X04CA("G", "N", n, n, a, lda, "Array A after factorization", ifail); - x04ca.eval(); - - System.out.println(); - System.out.println("Pivots"); - for(int i = 0; i < n; i++){ - System.out.printf("\t%d ", ipiv[i]); - } - System.out.printf("\n"); - System.out.println(); - - ifail = 0; - - F03BA f03ba = new F03BA(n, a, lda, ipiv, d, id, ifail); - f03ba.eval(); - d = f03ba.getD(); - id = f03ba.getID(); - - System.out.printf("D = \t%.5f ID = \t%d\n", d, id); - System.out.println(); - System.out.printf("Value of determinant = %.5e\n", d * Math.pow(2.0, id)); - - } - - /** - * Print usage information. - */ - private static void usage(){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - -} - diff --git a/simple_examples/int32/F04AMJE.java b/simple_examples/int32/F04AMJE.java deleted file mode 100644 index a498b2b..0000000 --- a/simple_examples/int32/F04AMJE.java +++ /dev/null @@ -1,114 +0,0 @@ -import com.nag.routines.F04.F04AM; -import com.nag.routines.X02.X02AJ; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * F04AMJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class F04AMJE{ - - /** - * F04AMJ example main program. - */ - public static void main(String[] args){ - int m = 0, n = 0; - int ifail, ir, lda, ldb, ldqr, ldx; - double eps; - double[] a, b, alpha, e, qr, r, x, y, z; - int[] ipiv; - - System.out.println("F04AMJ Example Program Results"); - - if(args.length != 1){ - F04AMJE.usage(); - } - - //declare so try/catch works - a = new double[0]; - b = new double[0]; - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - m = Integer.parseInt(sVal[1]); - n = Integer.parseInt(sVal[2]); - - a = new double[m * n]; - b = new double[m * 1]; - - for(int i = 0; i < m; i++){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int j = 0; j < n; j++){ - a[i + (j * m) ] = Double.parseDouble(sVal[j]); - } - for(int j = n; j < m; j++){ - b[i + (j * (m - (n + 1)))] = Double.parseDouble(sVal[j]); - } - } - } - catch(FileNotFoundException err){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException err){ - System.err.println("***FATAL: Can't read " + filename + "\n" + err.getMessage()); - } - //Setting these in try block is more robust but less neat - //May be needed for array sizes~ - ir = 1; - lda = m; - ldb = m; - ldqr = m; - ldx = n; - - alpha = new double[n]; - e = new double[n]; - qr = new double[ldqr * n]; - r = new double[m]; - x = new double[ldx * ir]; - y = new double[n]; - z = new double[n]; - ipiv = new int[n]; - - X02AJ x02aj = new X02AJ(); - eps = x02aj.eval(); - - ifail = 0; - - F04AM f04am = new F04AM(a, lda, x, ldx, b, ldb, m, n, ir, eps, qr, ldqr, alpha, e, y, z, r, ipiv, ifail); - f04am.eval(); - //update any values you want here - x = f04am.getX(); - - System.out.println("Solution"); - for(int i = 0; i < n; i++){ - for(int j = 0; j < ir; j++){ - System.out.printf("%.4f ", x[j + (i * ir)]); - } - System.out.printf("\n"); - } - } - - /** - * No arguments supplied when example runs - */ - private static void usage() { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} - - - - - - diff --git a/simple_examples/int32/F04BAJE.java b/simple_examples/int32/F04BAJE.java deleted file mode 100644 index 79c2b01..0000000 --- a/simple_examples/int32/F04BAJE.java +++ /dev/null @@ -1,144 +0,0 @@ -import com.nag.routines.F04.F04BA; -import com.nag.routines.X04.X04CA; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * F04BAJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class F04BAJE{ - - /** - * F04BAJ example main program. - */ - public static void main(String[] args){ - int n = 0, nrhs = 0, lda = 0, ldb = 0; //placeholder - int ierr, ifail; - double errbnd, rcond; - double a[], b[]; - int ipiv[]; - - a = new double[0]; b = new double[0]; //placeholder - - if(args.length != 1){ - F04BAJE.usage(); - } - - System.out.println("F04BAJ Example Program Results"); - System.out.println(); - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[1]); - nrhs = Integer.parseInt(sVal[2]); - - lda = n; - ldb = n; - - a = new double[lda * n]; - b = new double[ldb * nrhs]; - - line = reader.readLine(); - for(int i = 0; i < lda; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int j = 0; j < n; j++){ - a[i + (j * n)] = Double.parseDouble(sVal[j + 1]); - } - } - - line = reader.readLine(); - for(int i = 0; i < ldb; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int j = 0; j < nrhs; j++){ - b[i + (j * n)] = Double.parseDouble(sVal[j + 1]); - } - } - - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = 1; - ipiv = new int[n]; - rcond = 0; - errbnd = 0; - F04BA f04ba = new F04BA(n, nrhs, a, lda, ipiv, b, ldb, rcond, errbnd, ifail); - f04ba.eval(); - - ifail = f04ba.getIFAIL(); - rcond = f04ba.getRCOND(); - errbnd = f04ba.getERRBND(); - ipiv = f04ba.getIPIV(); - a = f04ba.getA(); - b = f04ba.getB(); - - if(ifail == 0){ - //Print solution, estimate of condition number and approximate error bound. - ierr = 0; - X04CA x04ca = new X04CA("General", " ", n, nrhs, b, ldb, "Solution", ierr); - x04ca.eval(); - - System.out.println(); - System.out.println("Estimate of condition number"); - System.out.printf("%.1e\n", 1/rcond); - System.out.println(); - System.out.println("Esttimate of error bound for computed solutions"); - System.out.printf("%.1e\n", errbnd); - } - else if(ifail == (n + 1)){ - //Matrix A is numerically singular. Print estimate of reciprocal of condition number and solution. - System.out.println(); - System.out.println("Estimate of reciprocal of condition number"); - System.out.printf("%.1e\n", rcond); - System.out.println(); - - ierr = 0; - X04CA x04ca = new X04CA("General", " ", n, nrhs, b, ldb, "Solution", ierr); - x04ca.eval(); - } - else if(ifail > 0 && ifail <= n){ - //The upper triangular matrix U is exactly singular. Print details of factorization. - System.out.println(); - - ierr = 0; - X04CA x04ca = new X04CA("General", " ", n, n, a, lda, "Details of factorization", ierr); - x04ca.eval(); - - System.out.println(); - System.out.println("Pivot indices"); - for(int i = 0; i < n; i++){ - System.out.printf("%d ", ipiv[i]); - } - System.out.printf("\n"); - } - else{ - System.out.printf(" ** F04BAF returned with IFAIL = %d\n", ifail); - } - - } - - /** - * No arguments supplied when example runs - */ - private static void usage() { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} diff --git a/simple_examples/int32/F05AAJE.java b/simple_examples/int32/F05AAJE.java deleted file mode 100644 index 317c269..0000000 --- a/simple_examples/int32/F05AAJE.java +++ /dev/null @@ -1,99 +0,0 @@ -import com.nag.routines.F05.F05AA; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * F05AAJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class F05AAJE{ - - /** - * F05AAJ example main program. - */ - public static void main(String[] args) { - //Should initialise values to avoid issues with try/catch - int icol = 0, ifail = 0, lda = 0, m = 0, n1 = 0, n2 = 0; - double cc = 0; - double[] a, s; - - //same as ints - a = new double[1]; - s = new double[1]; - System.out.println("F05AAJ Example Program Results"); - System.out.println(); - - //supply data - if(args.length != 1){ - F05AAJE.usage(); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+");; - m = Integer.parseInt(sVal[1]); - n1 = Integer.parseInt(sVal[2]); - n2 = Integer.parseInt(sVal[3]); - lda = m; - - a = new double[lda*n2]; - s = new double[n2]; - - //read in a from data - for(int i = 0; i < n2; i++){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int j = 0; j < m; j++){ - a[i + (j * n2)] = Double.parseDouble(sVal[j]); - } - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - //create object then eval - F05AA f05aa = new F05AA(a, lda, m, n1, n2, s, cc, icol, ifail); - f05aa.eval(); - - //update values - n1 = f05aa.getN1(); - n2 = f05aa.getN2(); - cc = f05aa.getCC(); - icol = f05aa.getICOL(); - a = f05aa.getA(); - - System.out.printf("N1 = %d N2 = %d\n", n1, n2); - System.out.println(); - System.out.printf("CC = %.4f ICOL = %d\n", cc, icol); - System.out.println(); - System.out.println("Final Vectors"); - - for(int i = 0; i < n2; i++){ - for(int j = 1; j < m; j++){ - System.out.printf("%.4f ", a[i +(j * n2)]); - } - System.out.printf("\n"); - } - } - - /** - * Print usage information. - */ - private static void usage(){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} - diff --git a/simple_examples/int32/F06CLJE.java b/simple_examples/int32/F06CLJE.java deleted file mode 100644 index ca2ac5e..0000000 --- a/simple_examples/int32/F06CLJE.java +++ /dev/null @@ -1,40 +0,0 @@ -import com.nag.routines.F06.F06CL; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; - -/** - * F06CL example program text. - * @author ludovic - */ -public class F06CLJE { - - public static void main(String[] args) { - boolean fail = false; - NAGComplex z1 = new NAGComplex(); - NAGComplex z2 = new NAGComplex(); - NAGComplex z3 = new NAGComplex(); - - System.out.println(" F06CLJ Example Program Results"); - System.out.println(); - - Routine.complex = z1; - - z1.setRe(1.0); - z1.setIm(1.0); - z2.setRe(2.0); - z2.setIm(2.0); - - F06CL f06cl = new F06CL(z1,z2,fail); - z3 = (NAGComplex)f06cl.eval(); - fail = f06cl.getFAIL(); - - if (fail) { - System.err.println(" Something went wrong..."); - } - else { - System.out.println(" " + z1.toString() + "/"+ z2.toString() + " = " + z3.toString()); - } - - } - -} diff --git a/simple_examples/int32/F07AAJE.java b/simple_examples/int32/F07AAJE.java deleted file mode 100644 index 26eb5dc..0000000 --- a/simple_examples/int32/F07AAJE.java +++ /dev/null @@ -1,90 +0,0 @@ -import com.nag.routines.F07.F07AA; -import com.nag.routines.X04.X04CA; -import java.util.Arrays; - -/** - * F07AA example program text. - * @author joed - */ -public class F07AAJE { - - public static void main(String[] args) { - - int i, ifail, info, lda, ldb, n; - double[] a, b; - int[] ipiv; - - System.out.println(" F07AAJ Example Program Results"); - System.out.println(); - - n = 4; - lda = n; - ldb = n; - - a = new double[n*n]; - b = new double[n]; - ipiv = new int[n]; - - a[0+0*n] = 1.80; - a[0+1*n] = 2.88; - a[0+2*n] = 2.05; - a[0+3*n] = -0.89; - a[1+0*n] = 5.25; - a[1+1*n] = -2.95; - a[1+2*n] = -0.95; - a[1+3*n] = -3.80; - a[2+0*n] = 1.58; - a[2+1*n] = -2.69; - a[2+2*n] = -2.90; - a[2+3*n] = -1.04; - a[3+0*n] = -1.11; - a[3+1*n] = -0.66; - a[3+2*n] = -0.59; - a[3+3*n] = 0.80; - - b[0] = 9.52; - b[1] = 24.35; - b[2] = 0.77; - b[3] = -6.22; - - /* Solve the equations Ax = b for x */ - - F07AA f07aa = new F07AA(); - info = 0; - f07aa.eval(n, 1, a, lda, ipiv, b, ldb, info); - info = f07aa.getINFO(); - - if (info == 0) { - - /* Print solution */ - - System.out.println(" Solution"); - for (i = 0; i < n; i++) { - System.out.printf(" %11.4f", b[i]); - } - System.out.printf("\n"); - - /* Print details of factorization */ - - System.out.println(); - X04CA x04ca = new X04CA(); - ifail = 0; - x04ca.eval("General", " ", n, n, a, lda, "Details of factorization", ifail); - - /* Print pivot indices */ - - System.out.println(); - System.out.println(" Pivot indices"); - for (i = 0; i < n; i++) { - System.out.printf(" %11d", ipiv[i]); - } - System.out.printf("\n"); - - } - else { - System.err.printf(" The (%3d,%3d) element of the factor U is zero\n", info, info); - } - - } - -} diff --git a/simple_examples/int32/F07ABJE.java b/simple_examples/int32/F07ABJE.java deleted file mode 100644 index 6362739..0000000 --- a/simple_examples/int32/F07ABJE.java +++ /dev/null @@ -1,134 +0,0 @@ -import com.nag.routines.F07.DGESVX; -import com.nag.routines.X04.X04CA; - -/** - * F07ABJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class F07ABJE{ - - /** - * F07ABJ example main program - */ - public static void main(String[] args){ - double rcond = 0; - int ifail, info = 0, lda, ldaf, ldb, ldx, n, nrhs; //placeholders - String equed; - double[] a, af, b, berr, c, ferr, r, work, x; - int[] ipiv, iwork; - - System.out.println("F07ABJ Example Program Results"); - System.out.println(); - - //Problem size - n = 4; - nrhs = 2; - lda = n; - ldaf = n; - ldb = n; - ldx = n; - - //Allocate - a = new double[lda * n]; - af = new double[ldaf * n]; - b = new double[ldb * nrhs]; - berr = new double[nrhs]; - c = new double[n]; - ferr = new double[nrhs]; - r = new double[n]; - work = new double[4 * n]; - x = new double[ldx * nrhs]; - ipiv = new int[n]; - iwork = new int[n]; - equed = " "; - - //Matrices A and B - a[0] = 1.8; - a[1] = 525; - a[2] = 1.58; - a[3] = -1.11; - a[4] = 2.88; - a[5] = -295; - a[6] = -2.69; - a[7] = -0.66; - a[8] = 2.05; - a[9] = -95; - a[10] = -2.9; - a[11] = -0.59; - a[12] = -0.89; - a[13] = -380; - a[14] = -1.04; - a[15] = 0.8; - b[0] = 9.52; - b[1] = 2435; - b[2] = 0.77; - b[3] = -6.22; - b[4] = 18.47; - b[5] = 225; - b[6] = -13.28; - b[7] = -6.21; - - //Solve the equations AX = B for X - //The NAG name equivalent of dgesvx is f07abf - DGESVX dgesvx = new DGESVX("Equilibration", "No Transpose", n, nrhs, a, lda, af, ldaf, ipiv, equed, r, - c, b, ldb, x, ldx, rcond, ferr, berr, work, iwork, info); - dgesvx.eval(); - - //Update - info = dgesvx.getINFO(); - equed = dgesvx.getEQUED(); - rcond = dgesvx.getRCOND(); - - if(info == 0 || info == n + 1){ - //Print solution, error bounds, condition number, the form of equilibration and the pivot growth factor - - //ifail: behaviour on error exit - // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft - ifail = 0; - X04CA x04ca = new X04CA("General", " ", n, nrhs, x, ldx, "Solution(s)", ifail); - x04ca.eval(); - - System.out.println(); - System.out.println("Backward errors (machine-dependent)"); - for(int i = 0; i < nrhs; i++){ - System.out.printf(" %.1e ", berr[i]); - } - System.out.println(); - System.out.println(); - System.out.println("Estimated forward error bounds (machine-dependent)"); - for(int i = 0; i < nrhs; i++){ - System.out.printf(" %.1e ", ferr[i]); - } - System.out.println(); - System.out.println(); - if(equed.equals("N")){ - System.out.println("A has not been equilibrated"); - } - else if(equed.equals("R")){ - System.out.println("A has been row scaled as diag(R)*A"); - } - else if(equed.equals("C")){ - System.out.println("A has been column scaled as A*diag(C)"); - } - else if(equed.equals("B")){ - System.out.println("A has been row and column scaled as diag(R)*A*diag(C)"); - } - System.out.println(); - System.out.println("Reciprocal condition number estimate of scaled matrix"); - System.out.printf(" %.1e\n", rcond); - System.out.println(); - System.out.println("Estimate of reciprocal pivot growth factor"); - System.out.printf(" %.1e\n", work[0]); - System.out.println(); - - if(info == n + 1){ - System.out.println(); - System.out.println("The matrix A is singular to working precision"); - } - } - else{ - System.out.println("The (" + info + ", " + info + ")" + " element of the factor U is zero"); - } - } -} diff --git a/simple_examples/int32/F07ADJE.java b/simple_examples/int32/F07ADJE.java deleted file mode 100644 index 4450683..0000000 --- a/simple_examples/int32/F07ADJE.java +++ /dev/null @@ -1,72 +0,0 @@ -import com.nag.routines.F07.DGETRF; -import com.nag.routines.X04.X04CA; - -/** - * F07ADJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class F07ADJE{ - - /** - * F07ADJ Example main program - */ - public static void main(String[] args){ - int ifail, info = 0, lda, m, n; - double[] a; - int[] ipiv; - - System.out.println("F07ADJ Example Program Results"); - System.out.println(); - - //Problem size (can be read from data file) - m = 4; - n = 4; - lda = m; - - //Data - ipiv = new int[n]; - a = new double[m * n]; - a[0] = 1.8; - a[1] = 5.25; - a[2] = 1.58; - a[3] = -1.11; - a[4] = 2.88; - a[5] = -2.95; - a[6] = -2.69; - a[7] = -0.66; - a[8] = 2.05; - a[9] = -0.95; - a[10] = -2.9; - a[11] = -0.59; - a[12] = -0.89; - a[13] = -3.8; - a[14] = -1.04; - a[15] = 0.8; - - //Factorize A - //The NAG name equivalent of dgetrf is F07ADF - DGETRF dgetrf = new DGETRF(m, n, a, lda, ipiv, info); - dgetrf.eval(); - - //Update - info = dgetrf.getINFO(); - - //ifail: behaviour on error exit - // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft - ifail = 0; - X04CA x04ca = new X04CA("General", " ", m, n, a, lda, "Details of factorization", ifail); - x04ca.eval(); - - //Print pivot indices - System.out.println("IPIV"); - for(int i = 0; i < Math.min(m, n); i++){ - System.out.printf("\t%d", ipiv[i]); - } - System.out.println(); - - if(info != 0){ - System.out.println("The factor U is singular"); - } - } -} diff --git a/simple_examples/int32/F07AQJE.java b/simple_examples/int32/F07AQJE.java deleted file mode 100644 index 5ee47e5..0000000 --- a/simple_examples/int32/F07AQJE.java +++ /dev/null @@ -1,99 +0,0 @@ -import com.nag.routines.F07.F07AQ; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; -import com.nag.types.NAGComplexF; - -/** - * F07AQ example program text. - * @author joed - * @since 27.1.0.0 - */ -public class F07AQJE { - - public static void main(String[] args) { - - F07AQ f07aq = new F07AQ(); - int info, iter, lda, ldb, ldx, n, r; - NAGComplex[] a, b, work, x; - NAGComplexF[] swork; - double[] rwork; - int[] ipiv; - - System.out.println(" F07AQJ Example Program Results"); - System.out.println(); - - // Set dimensions and instantiate arrays - n = 4; - r = 1; - lda = ldb = ldx = n; - a = new NAGComplex[lda*n]; - b = new NAGComplex[ldb*r]; - work = (NAGComplex[]) (new NAGComplex()).getArrayOfInstances(n*r); - x = (NAGComplex[]) (new NAGComplex()).getArrayOfInstances(ldx*r); - swork = (NAGComplexF[]) (new NAGComplexF()).getArrayOfInstances(n*(n+r)); - ipiv = new int[n]; - rwork = new double[n]; - - // Set A - a[0] = new NAGComplex(-1.34, 2.55); // Column 1 - a[1] = new NAGComplex(-0.17, -1.41); - a[2] = new NAGComplex(-3.29, -2.39); - a[3] = new NAGComplex(2.41, 0.39); - a[4] = new NAGComplex(0.28, 3.17); // Column 2 - a[5] = new NAGComplex(3.31, -0.15); - a[6] = new NAGComplex(-1.91, 4.42); - a[7] = new NAGComplex(-0.56, 1.47); - a[8] = new NAGComplex(-6.39, -2.20); // Column 3 - a[9] = new NAGComplex(-0.15, 1.34); - a[10] = new NAGComplex(-0.14, -1.35); - a[11] = new NAGComplex(-0.83, -0.69); - a[12] = new NAGComplex(0.72, -0.92); // Column 4 - a[13] = new NAGComplex(1.29, 1.38); - a[14] = new NAGComplex(1.72, 1.35); - a[15] = new NAGComplex(-1.96, 0.67); - - // Set B - b[0] = new NAGComplex(26.26,51.78); - b[1] = new NAGComplex( 6.43,-8.68); - b[2] = new NAGComplex(-5.75,25.31); - b[3] = new NAGComplex( 1.16, 2.57); - - // Notify wrappers of complex types - Routine.setComplex(new NAGComplex()); - Routine.setComplexF(new NAGComplexF()); - - // Solve the equations Ax = b for x - iter = info = 0; - f07aq.eval(n, r, a, lda, ipiv, b, ldb, x, ldx, work, swork, rwork, iter, info); - iter = f07aq.getITER(); - info = f07aq.getINFO(); - - if (info == 0) { - - // Print solution - - System.out.println(" Solution"); - for (int i = 0; i < n; i++) { - for (int j = 0; j < r; j++) { - System.out.printf(" (%7.4f,%7.4f)", x[j*n+i].getRe(), x[j*n+i].getIm()); - } - } - System.out.println(); - - // Print pivot indices - - System.out.println(); - System.out.println(" Pivot indices"); - for (int i = 0; i < n; i++) { - System.out.printf(" %11d", ipiv[i]); - } - System.out.println(); - - } - else { - System.out.printf(" The (%3d,%3d) element of the factor U is zero", info, iter); - } - - } - -} diff --git a/simple_examples/int32/F07FAJE.java b/simple_examples/int32/F07FAJE.java deleted file mode 100644 index e516051..0000000 --- a/simple_examples/int32/F07FAJE.java +++ /dev/null @@ -1,79 +0,0 @@ -import com.nag.routines.F07.F07FA; -import com.nag.routines.X04.X04CA; - -/** - * F07FA example program text. - * @author saraht - */ -public class F07FAJE { - - public static void main(String[] args) { - - int i, ifail, info, lda, n; - double[] a, b; - - System.out.println(" F07FAJ Example Program Results"); - System.out.println(); - - n = 4; - lda = n; - - a = new double[n*n]; - b = new double[n]; - - /* A = 4.16 -3.12 0.56 -0.10 - 5.03 -0.83 1.18 - 0.76 0.34 - 1.18 */ - - a[0+0*n] = 4.16; - a[0+1*n] = -3.12; - a[0+2*n] = 0.56; - a[0+3*n] = -0.10; - - a[1+1*n] = 5.03; - a[1+2*n] = -0.83; - a[1+3*n] = 1.18; - - a[2+2*n] = 0.76; - a[2+3*n] = 0.34; - - a[3+3*n] = 1.18; - - b[0] = 8.70; - b[1] = -13.35; - b[2] = 1.89; - b[3] = -4.14; - - /* Solve the equations Ax = b for x */ - - F07FA f07fa = new F07FA(); - info = 0; - f07fa.eval("Upper", n, 1, a, lda, b, n, info); - info = f07fa.getINFO(); - - if (info == 0) { - - /* Print solution */ - - System.out.println(" Solution"); - for (i = 0; i < n; i++) { - System.out.printf(" %11.4f", b[i]); - } - System.out.printf("\n"); - - /* Print details of factorization */ - - System.out.println(); - X04CA x04ca = new X04CA(); - ifail = 0; - x04ca.eval("Upper", "Non-unit diagonal", n, n, a, lda, "Cholesky factor U", ifail); - - } - else { - System.err.printf(" The leading minor of order %d is not positive definite \n", info); - } - - } - -} diff --git a/simple_examples/int32/F07FBJE.java b/simple_examples/int32/F07FBJE.java deleted file mode 100644 index 09bbd37..0000000 --- a/simple_examples/int32/F07FBJE.java +++ /dev/null @@ -1,122 +0,0 @@ -import com.nag.routines.F07.F07FB; -import com.nag.routines.X04.X04CA; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * F07FB example program text. - * @author ludovic - */ -public class F07FBJE { - - public static void main(String[] args) { - String fact,uplo,equed; - int n, nrhs,lda,ldaf,ldb,ldx; - int[] iwork; - double rcond; - double[] a,af,s,b,x,ferr,berr,work; - int info,ifail; - lda = 4; - ldaf = lda; - ldb = lda; - ldx = lda; - nrhs = 2; - n = 4; - a = new double[lda*lda]; - af = new double[ldaf*ldaf]; - b = new double[ldb*nrhs]; - berr = new double[nrhs]; - ferr = new double[nrhs]; - s = new double[lda]; - work = new double[3*lda]; - x = new double[ldx*nrhs]; - iwork = new int[lda]; - info = 1; - rcond = Double.NaN; - fact = "E"; - uplo = "U"; - equed = "Z";//dummy value - /*A = 4.16 -3.12 0.56 -0.10 - 5.03 -0.83 1.18 - 0.76 0.34 - 1.18*/ - a[0] = 4.16; - - a[4] = -3.12; - a[5] = 5.03; - - a[8] = 0.56; - a[9] = -0.83; - a[10] = 0.76; - - a[12] = -0.10; - a[13] = 1.18; - a[14] = 0.34; - a[15] = 1.18; - - /*B= 8.70 8.30 - -13.35 2.13 - 1.89 1.61 - - 4.14 5.00*/ - b[0] = 8.70; - b[1] = -13.35; - b[2] = 1.89; - b[3] = -4.14; - - b[4] = 8.30; - b[5] = 2.13; - b[6] = 1.61; - b[7] = 5.00; - - System.out.println(" F07FBJ Example Program Results"); - System.out.println(); - - F07FB f07fb = new F07FB(fact, uplo, n, nrhs, a, lda, af, ldaf, equed, s, b, - ldb, x, ldx, rcond, ferr, berr, work, iwork, info); - f07fb.eval(); - fact = f07fb.getFACT(); - uplo = f07fb.getUPLO(); - equed = f07fb.getEQUED(); - rcond = f07fb.getRCOND(); - info = f07fb.getINFO(); - - - if ((info == 0) || (info == n+1)) { - ifail = 0; - (new X04CA()).eval("General"," ",n,nrhs,x,ldx,"Solution(s)",ifail); - System.out.println(); - System.out.println(" Backward errors (machine-dependent)"); - System.out.print(" "); - for (int ii = 0; ii < nrhs; ++ii) { - System.out.printf(" %11.1e",berr[ii]); - } - System.out.println("\n"); - System.out.println(" Estimated forward error bounds (machine-dependent)"); - System.out.print(" "); - for (int ii = 0; ii < nrhs; ++ii) { - System.out.printf(" %11.1e",ferr[ii]); - } - System.out.println("\n"); - System.out.println(" Estimate of reciprocal condition number"); - System.out.printf(" %11.1e\n",rcond); - System.out.println(); - if (equed.equalsIgnoreCase("N")) { - System.out.println(" A has not been equilibrated"); - } - else if (equed.equalsIgnoreCase("N")) { - System.out.println(" A has been row and column scaled as diag(S)*A*diag(S)"); - } - - if (info == n+1) { - System.out.println(); - System.out.println(" The matrix A is singular to working precision"); - } - - } - else { - System.out.printf(" The leading minor of order %3d is not positive definite\n"); - } - - } - -} diff --git a/simple_examples/int32/F08BTJE.java b/simple_examples/int32/F08BTJE.java deleted file mode 100644 index 43c219b..0000000 --- a/simple_examples/int32/F08BTJE.java +++ /dev/null @@ -1,228 +0,0 @@ -import static java.lang.Math.*; - -import com.nag.routines.F06.F06JJ; -import com.nag.routines.F06.F06ZJ; -import com.nag.routines.F08.F08AU; -import com.nag.routines.F08.F08BT; -import com.nag.routines.Routine; -import com.nag.routines.X04.X04DB; -import com.nag.types.NAGComplex; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.util.regex.Matcher; -import java.util.regex.Pattern; - -/** - * F08BT example program text. - * @author ludovic - */ -public class F08BTJE { - - public static void main(String[] args) throws FileNotFoundException, IOException { - int incl = 1, nb = 64; - double tol; - int ifail, info = 0, k, lda, ldb, lwork, m, n, nrhs; - NAGComplex[] a, b, tau, work; - double[] rnorm, rwork; - int[] jpvt; - String[] clabs = new String[]{" "}, rlabs = new String[]{" "}; - - // Setup complex constants - NAGComplex one = new NAGComplex(); - NAGComplex zero = new NAGComplex(); - one.setRe(1.0); - one.setIm(0.0); - zero.setRe(0.0); - zero.setIm(0.0); - - // Inform the Routine class of the type of complex in use - can use any complex object - Routine.complex = one; - - System.out.println(" F08BTJ Example Program Results"); - System.out.println(); - - // Read values from data file - BufferedReader br = new BufferedReader(new FileReader(args[0])); - String line = br.readLine(); - line = br.readLine().trim(); - line = br.readLine().trim(); - String[] vals = line.split("\\s+"); - m = Integer.parseInt(vals[0].trim()); - n = Integer.parseInt(vals[1].trim()); - nrhs = Integer.parseInt(vals[2].trim()); - lda = ldb = m; - lwork = (n + 1) * nb; - a = new NAGComplex[lda * n]; - b = new NAGComplex[ldb * nrhs]; - tau = new NAGComplex[n]; - work = new NAGComplex[lwork]; - rnorm = new double[nrhs]; - rwork = new double[2 * n]; - jpvt = new int[n]; - - // Actually initialize the complex arrays - for (int i = 0; i < a.length; ++i) { - a[i] = new NAGComplex(); - } - for (int i = 0; i < b.length; ++i) { - b[i] = new NAGComplex(); - } - for (int i = 0; i < tau.length; ++i) { - tau[i] = new NAGComplex(); - } - for (int i = 0; i < work.length; ++i) { - work[i] = new NAGComplex(); - } - - /* Read A and B from data file */ - - readCompMatrix(br, a, lda, n); - readCompMatrix(br, b, ldb, nrhs); - br.close(); - - /* Initialize JPVT to be zero so that all columns are free */ - - for (int i = 0; i < n; ++i) { - jpvt[i] = 0; - } - - /* Compute the QR factorization of A */ - - F08BT f08bt = new F08BT(m, n, a, lda, jpvt, tau, work, lwork, rwork, info); - f08bt.eval(); - - /* Compute C = (C1) = (Q**H)*B, storing the result in B (C2) */ - - String side = "Left"; - String conjTrans = "Conjugate Transpose"; - F08AU f08au = new F08AU(side, conjTrans, m, nrhs, n, a, lda, tau, b, ldb, work, lwork, info); - f08au.eval(); - a = (NAGComplex[])f08au.getA(); - - /* Choose TOL to reflect the relative accuracy of the input data */ - - tol = 0.01; - - /* Determine and print the rank, K, or R relative to TOL */ - - for (k = 1; k < n + 1; ++k) { - if (abs(a[k - 1 + lda * (k - 1)]) <= tol * abs(a[0])) { - break; - } - } - k = k - 1; - - System.out.println(" Tolerance used to estimate the rank of A"); - System.out.printf(" %11.2E\n", tol); - System.out.println(" Estimated rank of A"); - System.out.printf(" %8d\n", k); - - /* Compute least squares solutions by back-substitution in R(1:K,1:K)*Y = C1 - * storing the result in B */ - - String upDown = "Upper"; - String trans = "No transpose"; - String unit = "Non-Unit"; - F06ZJ f06zj = new F06ZJ(side, upDown, trans, unit, k, nrhs, one, a, lda, b, ldb); - f06zj.eval(); - - /* Compute estimates of the square roots of the residual sums of squares - * (2-norm of each of the columns of C2) */ - - int mMinusK = m - k; - NAGComplex[] btmp = new NAGComplex[b.length]; - for (int i = 0; i < btmp.length; ++i) { - btmp[i] = new NAGComplex(); - } - System.arraycopy(b, k, btmp, 0, b.length - k); - - F06JJ f06jj = new F06JJ(mMinusK, btmp, incl); - rnorm[0] = f06jj.eval(mMinusK, btmp, incl); - System.arraycopy(btmp, 0, b, k, b.length - k); - for (int j = 1; j < nrhs; ++j) { - System.arraycopy(b, k + j * ldb, btmp, 0, b.length - k - j * ldb); - rnorm[j] = f06jj.eval(mMinusK, btmp, incl); - System.arraycopy(btmp,0, b, k + j * ldb, b.length - k - j * ldb); - } - - /* Set the remaining elements of the solutions to zero (to give the - * basic solutions) */ - - for (int i = k; i < n; ++i) { - for (int j = 0; j < nrhs; ++j) { - NAGComplex tmp = new NAGComplex(); - tmp.setRe(0.0); - tmp.setIm(0.0); - b[i + j * ldb] = tmp; - } - } - - /* Permute the least squares solution stored in B to give X = P*Y */ - - for (int j = 0; j < nrhs; j++) { - for (int i = 0; i < n; i++) { - work[jpvt[i] - 1] = b[j*ldb + i]; - } - for (int i = 0; i < n; i++) { - b[j*ldb + i] = work[i]; - } - } - - /* Print least squares solutions */ - - X04DB x04db = new X04DB(); - ifail = 0; - x04db.eval("General"," ",n,nrhs,b,ldb,"Bracketed","F7.4","Least squares solution(s)", - "Integer",rlabs,"Integer",clabs,80,0,ifail); - - /* Print the square roots of the residual sums of squares */ - - System.out.println(); - System.out.println(" Square root(s) of the residual sum(s) of squares"); - System.out.printf(" "); - for (int i = 0; i < nrhs; ++i) { - System.out.printf("%11.2E", rnorm[i]); - } - System.out.println(); - - } - - private static void readCompMatrix(BufferedReader br, NAGComplex[] mat, int row, - int col) throws IOException { - - // matches one complex number (without the brackets...) - String complexPat = "\\(([,0-9\\.\\-\\+\\s]*)\\)"; - String fullPattern = complexPat; - for (int i = 0; i < col -1; ++i) { - fullPattern = fullPattern + "\\s*" + complexPat; - } - fullPattern = fullPattern + ".*"; - Pattern comppat = Pattern.compile(fullPattern); - - for (int i = 0; i < row; ++i) { - String line = br.readLine().trim(); - if (line.equalsIgnoreCase("")) { - line = br.readLine().trim(); - } - Matcher m = comppat.matcher(line.trim()); - if (m.matches()) { - for (int j = 0; j < col; ++j) { - String[] numbers = m.group(j + 1).trim().split(","); - mat[i + j * row].setRe(Double.parseDouble(numbers[0].trim())); - mat[i + j * row].setIm(Double.parseDouble(numbers[1].trim())); - // System.out.print("mat["+i+","+j+"]=("+numbers[0].trim()+","+numbers[1].trim()+") "); - } - // System.out.println(); - } - - - } - } - - private static double abs(NAGComplex z) { - return sqrt(z.getRe() * z.getRe() + z.getIm() * z.getIm()); - } - -} diff --git a/simple_examples/int32/F08FAJE.java b/simple_examples/int32/F08FAJE.java deleted file mode 100644 index 028f854..0000000 --- a/simple_examples/int32/F08FAJE.java +++ /dev/null @@ -1,113 +0,0 @@ -import com.nag.routines.F08.DDISNA; -import com.nag.routines.F08.F08FA; -import com.nag.routines.F16.F16JQ; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X04.X04CA; -import java.util.Arrays; -import java.util.logging.Level; -import java.util.logging.Logger; - - -/** - * F08FA example program text. - * @author ludovic - */ -public class F08FAJE { - - public static void main(String[] args) { - int n = 4, LWork = n*64, lda = n; - double[] a, w, work,zerrbd,rcondz, colVector; - int info = 0, ifail = 0, k = 0; - a = new double[n * n]; - w = new double[n]; - work = new double[LWork]; - zerrbd = new double[n]; - rcondz = new double[n]; - colVector = new double[n]; - - System.out.println(" F08FAJ Example Program Results\n"); - - //array a : Stored in column major way - - a[0] = 1.0; - a[1] = 2.0; - a[2] = 3.0; - a[3] = 4.0; - - a[4] = 2.0; - a[5] = 2.0; - a[6] = 3.0; - a[7] = 4.0; - - a[8] = 3.0; - a[9] = 3.0; - a[10] = 3.0; - a[11] = 4.0; - - a[12] = 4.0; - a[13] = 4.0; - a[14] = 4.0; - a[15] = 4.0; - - //initializing the info parameter - info = 0; - w[0] = Double.NaN; - w[1] = Double.NaN; - w[2] = Double.NaN; - w[3] = Double.NaN; - F08FA f08fa = new F08FA("V", "U", n, a, n, w, work, LWork, info); - f08fa.eval(); - info = f08fa.getINFO(); - - if (info == 0) { - System.out.println(" Eigenvalues"); - System.out.print(" "); - for (int i = 0; i < n; ++i) { - System.out.printf(" %8.4f",w[i]); - } - System.out.println(); - - // Normalize the eigenvectors: largest element positive - F16JQ f16jq = new F16JQ(); // aka blas_damax_val - for (int i = 0; i < n; i++) { - System.arraycopy(a, 4*i, colVector, 0, 4); // Form vector to evaluate - f16jq.eval(n, colVector, 1, k, 0.0); // Get index of largest (absolute) value - k = f16jq.getK() - 1; // Make index zero based - - // Invert sign of column if largest element is negative - if (a[(4*i)+k] < 0) { - for (int j = 0; j < n; j++) { - a[(4*i)+j] = (-1) * a[(4*i)+j]; - } - } - - } - - (new X04CA()).eval("General"," ",n,n,a,lda,"Eigenvectors",ifail); - - double eps = (new X02AJ()).eval(); - double eerrbd = eps*Math.max(Math.abs(w[0]),Math.abs(w[n-1])); - - (new DDISNA()).eval("Eigenvectors",n,n,w,rcondz,info); - for (int i = 0; i < n; ++i) { - zerrbd[i] = eerrbd/rcondz[i]; - } - - System.out.println(); - System.out.println(" Error estimate for the eigenvalues"); - System.out.printf(" %11.1e\n",eerrbd); - System.out.println(); - System.out.println(" Error estimates for the eigenvectors"); - for (int i = 0; i < n; ++i) { - System.out.printf(" %11.1e",zerrbd[i]); - } - System.out.println(); - - } - else { - System.out.printf(" Failure in DSYEV. INFO =%4d",info); - } - - } - -} diff --git a/simple_examples/int32/F08XPJE.java b/simple_examples/int32/F08XPJE.java deleted file mode 100644 index cc894d3..0000000 --- a/simple_examples/int32/F08XPJE.java +++ /dev/null @@ -1,297 +0,0 @@ -import com.nag.routines.F06.F06UA; -import com.nag.routines.F06.F06BN; -import com.nag.routines.F06.ZGEMM; -import com.nag.routines.F08.ZGGESX; -import com.nag.routines.M01.M01DA; -import com.nag.routines.M01.M01ED; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X04.X04DB; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * F08XPJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class F08XPJE{ - - public static boolean chkfac = false; - public static boolean prcond = false; - public static boolean prmat = false; - public static int nb = 64; - - /* - * F08XPJ Example main program - */ - public static void main(String[] args){ - NAGComplex alph, bet; - double abnorm, anorm, bnorm, eps, normd, norme, tol; - int ifail, info = 0, lda, ldb, ldc, ldd, lde, ldvsl, ldvsr, liwork, lwork, n, sdim = 0; - boolean factor; - NAGComplex[] a, alpha, b, beta, c, d, e, vsl, vsr, work, dummy; - double[] rconde, rcondv, rwork; - int[] idum, iwork; - boolean[] bwork; - String[] clabs, rlabs; - - //Placeholders - idum = new int[1]; - rconde = new double[2]; - rcondv = new double[2]; - dummy = NAGComplex.createArray(1); - - System.out.println("F08XPJ Example Program Results"); - System.out.println(); - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - //Tell wrappers what time of complex type is going to be used - Routine.setComplex(new NAGComplex()); - - //n declared here for neater code but can be read in from data file - n = 4; - lda = n; - ldb = n; - ldc = n; - ldd = n; - lde = n; - ldvsl = n; - ldvsr = n; - - //Allocate - a = NAGComplex.createArray(lda * n); - alpha = NAGComplex.createArray(n); - b = NAGComplex.createArray(ldb * n); - beta = NAGComplex.createArray(n); - c = NAGComplex.createArray(ldc * n); - d = NAGComplex.createArray(ldd * n); - e = NAGComplex.createArray(lde * n); - vsl = NAGComplex.createArray(ldvsl * n); - vsr = NAGComplex.createArray(ldvsr * n); - rwork = new double[8 * n]; - bwork = new boolean[n]; - clabs = new String[1]; - clabs[0] = " "; - rlabs = new String[1]; - rlabs[0] = " "; - - //Use routine workspace query to get optimal workspace - lwork = -1; - liwork = -1; - //The NAG name equivalent of zggesx is f08xpf - selctg selctg1 = new selctg(); - ZGGESX zggesx = new ZGGESX("Vectors (left)", "Vectors (right)", "Sort", selctg1, "Both reciprocal condition numbers", - n, a, lda, b, ldb, sdim, alpha, beta, vsl, ldvsl, vsr, ldvsr, rconde, rcondv, dummy, lwork, - rwork, idum, liwork, bwork, info); - zggesx.eval(); - - //Make sure that there is a enough workspace for block size nb - lwork = Math.max((n * nb) + (n * n/2), (int) Math.rint(dummy[0].getRe())); - liwork = Math.max(n + 2, idum[0]); - work = NAGComplex.createArray(lwork); - iwork = new int[liwork]; - - //Read in matrices A and B - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); // skip header - line = reader.readLine(); //skip n (set manually for neater code) - String[] sVal; - - for(int i = 0; i < 2; i++){ - for(int j = 0; j < n; j++){ - line = reader.readLine(); - sVal = line.split("\\)"); - for(int k = 0; k < n; k++){ - if(i == 0){ - a[(k * n) + j] = parseComplex(sVal[k]); - } - else{ - b[(k * n) + j] = parseComplex(sVal[k]); - } - } - } - } - - } - catch(FileNotFoundException err){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException err){ - System.err.println("***FATAL: Can't read " + filename + "\n" + err.getMessage()); - } - - if(chkfac){ - for(int i = 0; i < a.length; i++){ - //Copy A and B into D and E respectively - d[i] = a[i]; - e[i] = b[i]; - } - } - - //Find the Forbenius norms of A and B - //The NAG name equivalent of the LAPACK auxiliary zlange is f06uaf - F06UA f06ua = new F06UA(); - anorm = f06ua.eval("Frobenius", n, n, a, lda, rwork); - bnorm = f06ua.eval("Frobenius", n, n, b, ldb, rwork); - - if(prmat){ - //Print matrices A and B - //ifail : behaviour on error exit - // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft - ifail = 0; - X04DB x04db = new X04DB("General", " ", n, n, a, lda, "Bracketed", "F8.4", "Matrix A", "Integer", - rlabs, "Integer", clabs, 80, 0, ifail); - x04db.eval(); - System.out.println(); - - ifail = 0; - x04db = new X04DB("General", " ", n, n, b, ldb, "Bracketed", "F8.4", "Matrix B", "Integer", - rlabs, "Integer", clabs, 80, 0, ifail); - x04db.eval(); - System.out.println(); - } - - factor = true; - //Find the generalized Schur form - //The NAG name equivalent of zggesx is f08xpf - zggesx = new ZGGESX("Vectors (left)", "Vectors (right)", "Sort", selctg1, "Both reciprocal condition numbers", - n, a, lda, b, ldb, sdim, alpha, beta, vsl, ldvsl, vsr, ldvsr, rconde, rcondv, work, lwork, - rwork, iwork, liwork, bwork, info); - zggesx.eval(); - - //update - sdim = zggesx.getSDIM(); - - if(info != 0 && info != (n + 2)){ - System.out.printf("Failure in ZGGESX. INFO = %d\n", info); - factor = false; - } - else if(chkfac){ - //Compute A - Q*S*Z^H from the factorization of (A,B) and store in matrix D - //The NAG name equivalent of zgemm is f06zaf - alph = new NAGComplex(1, 0); - bet = new NAGComplex(0, 0); - ZGEMM zgemm = new ZGEMM("N", "N", n, n, n, alph, vsl, ldvsl, a, lda, bet, c, ldc); - zgemm.eval(); - - alph = new NAGComplex(-1, 0); - bet = new NAGComplex(1, 0); - zgemm = new ZGEMM("N", "C", n, n, n, alph, c, ldc, vsr, ldvsr, bet, d, ldd); - zgemm.eval(); - - //Compute B - Q*T*Z^H from the factorization of (A,B) and store in matrix E - alph = new NAGComplex(1, 0); - bet = new NAGComplex(0, 0); - zgemm = new ZGEMM("N", "N", n, n, n, alph, vsl, ldvsl, b, ldb, bet, c, ldc); - zgemm.eval(); - - alph = new NAGComplex(-1, 0); - bet = new NAGComplex(1, 0); - zgemm = new ZGEMM("N", "C", n, n, n, alph, c, ldc, vsr, ldvsr, bet, e, lde); - zgemm.eval(); - - //Find norms of matrices D and E and warn if either is too large - f06ua = new F06UA("0", ldd, n, d, ldd, rwork); - normd = f06ua.eval(); - X02AJ x02aj = new X02AJ(); - if(normd > Math.pow(x02aj.eval(), 0.75)){ - System.out.println("Norm of A-(Q*S*Z^T) is much greater than 0."); - factor = false; - System.out.println("Schur factorization has failed"); - } - f06ua = new F06UA("0", lde, n, e, lde, rwork); - norme = f06ua.eval(); - if(norme > Math.pow(x02aj.eval(), 0.75)){ - System.out.println("Norm of B-(Q*T*Z^T is much greater than 0."); - factor = false; - } - } - - if(factor){ - //Print eigenvalue details - System.out.printf("Number of eigenvalues for which SELCTG is true = %d\n", sdim); - System.out.println("(dimension of deflating subspaces)"); - - System.out.println(); - //Print selected (finite) generalized eigenvalues - System.out.println("Selected generalized eigenvalues"); - - //Store absolute values of eigenvalues for ranking - for(int i = 0; i < n; i++){ - work[i] = alpha[i].divide(beta[i]); - rwork[i] = NAGComplex.abs(work[i]); - } - - //Rank eigenvalues - ifail = 0; - M01DA m01da = new M01DA(rwork, 1, sdim, "Descending", iwork, ifail); - m01da.eval(); - - //Sort eigevalues in work - M01ED m01ed = new M01ED(work, 1, sdim, iwork, ifail); - m01ed.eval(); - for(int i = 0; i < sdim; i++){ - System.out.printf(" %d\t(%.2f, %.2f)\n", i + 1, work[i].getRe(), work[i].getIm()); - } - - if(info == n + 2){ - System.out.println("*** note that rounding errors mean that leading eigenvalues in"); - System.out.println("the generalized Schur form no longer satisfy SELCTG = TRUE"); - System.out.println(); - } - - if(prcond){ - //Compute the machine precision and sqrt(anorm^2 + bnorm^2) - X02AJ x02aj = new X02AJ(); - eps = x02aj.eval(); - F06BN f06bn = new F06BN(anorm, bnorm); - abnorm = f06bn.eval(); - tol = eps * abnorm; - - //Print out the reciprocal condition numbers and error bound for selected eigenvalues - System.out.println("Reciprocal condition numbers for the average of the selected"); - System.out.println("eigenvalues and their asymptotic error bound"); - System.out.printf("rcond-left = %.1e, rcond-right = %.1e, error = %.1e\n", rcondv[0], rcondv[1], tol/rcondv[1]); - } - } - else{ - System.out.println("Schur factorization has failed"); - } - - } - - /** - * Converts String read in from data file to NAGComplex value. - * @param s - * Complex number string - * @return new NAGComplex representing s - */ - public static NAGComplex parseComplex(String s){ - s = s.trim(); - double re = Double.parseDouble(s.substring(1, 7)); - double im = Double.parseDouble(s.substring(8)); - return new NAGComplex(re, im); - } - - /** - * Class representing function selctg implementing ZGGESX_SELCTG to pass to ZGGESX. - */ - public static class selctg extends ZGGESX.Abstract_ZGGESX_SELCTG{ - public boolean eval(){ - return (NAGComplex.abs((NAGComplex)this.A) < (6 * NAGComplex.abs((NAGComplex)this.B))); - } - } - -} diff --git a/simple_examples/int32/G01ALJE.java b/simple_examples/int32/G01ALJE.java deleted file mode 100644 index 672a151..0000000 --- a/simple_examples/int32/G01ALJE.java +++ /dev/null @@ -1,55 +0,0 @@ -import com.nag.routines.G01.G01AL; - -/** - * G01ALJ Example Program Text - * @author willa - * @since 27.1.0.0 - */ -public class G01ALJE{ - - /** - * G01ALJ Example main program - */ - public static void main(String[] args){ - int ifail, n; - double[] x, res; - int[] iwrk; - - res = new double[5]; - - System.out.println("G01ALJ Example Program Results"); - System.out.println(); - - //Problem size - n = 12; - - //Allocate - x = new double[n]; - iwrk = new int[n]; - - //Data - x[0] = 12; - x[1] = 9; - x[2] = 2; - x[3] = 5; - x[4] = 6; - x[5] = 8; - x[6] = 2; - x[7] = 7; - x[8] = 3; - x[9] = 1; - x[10] = 11; - x[11] = 10; - - //Calculate summary statistics - ifail = 0; - G01AL g01al = new G01AL(n, x, iwrk, res, ifail); - g01al.eval(); - - System.out.printf("Maximum %.4f\n", res[4]); - System.out.printf("Upper Hinge (75%% quantile) %.4f\n", res[3]); - System.out.printf("Median (50%% quantile) %.4f\n", res[2]); - System.out.printf("Lower Hinge (25%% quantile) %.4f\n", res[1]); - System.out.printf("Minimum %.4f\n", res[0]); - } -} diff --git a/simple_examples/int32/G02AKJE.java b/simple_examples/int32/G02AKJE.java deleted file mode 100644 index 8ddaff2..0000000 --- a/simple_examples/int32/G02AKJE.java +++ /dev/null @@ -1,68 +0,0 @@ -import com.nag.routines.G02.G02AK; -import com.nag.routines.X04.X04CA; - -/** - * G02AK example program text. - * @author joed - * @since 27.0.0.0 - */ -public class G02AKJE { - - /** - * G02AKJ example main program. - */ - public static void main(String[] args) { - - G02AK g02ak = new G02AK(); - X04CA x04ca = new X04CA(); - double errtol, f, rankerr, ranktol; - int i, ifail, ldg, ldx, maxit, maxits, n, nsub, rank; - double[] g, x; - - System.out.println("G02AKJ Example Program Results\n"); - - // Problem size - n = 4; - ldg = n; - ldx = n; - - // Rank constraint - rank = 2; - - // Matrix G (column-major) - g = new double[]{ - 2.0, -1.0, 0.0, 0.0, - -1.0, 2.0, -1.0, 0.0, - 0.0, -1.0, 2.0, -1.0, - 0.0, 0.0, -1.0, 2.0 - }; - - // Use the defaults for errtol, ranktol, maxits, maxit - errtol = 0.0; - ranktol = 0.0; - maxits = 0; - maxit = 0; - - // Calculate rank constrained nearest correlation matrix - ifail = 0; - x = new double[ldx*n]; - f = 0.0; - rankerr = 0.0; - nsub = 0; - g02ak.eval(g, ldg, n, rank, errtol, ranktol, maxits, maxit, x, ldx, f, - rankerr, nsub, ifail); - nsub = g02ak.getNSUB(); - f = g02ak.getF(); - rankerr = g02ak.getRANKERR(); - - // Display results - ifail = 0; - x04ca.eval("General", " ", n, n, x, ldx, "NCM with rank constraint", ifail); - System.out.println(); - System.out.printf("Number of subproblems solved: %12d\n\n", nsub); - System.out.printf("Squared Frobenius norm of difference: %9.4f\n\n", f); - System.out.printf("Rank error: %35.4f\n", rankerr); - - } - -} diff --git a/simple_examples/int32/G02BJJE.java b/simple_examples/int32/G02BJJE.java deleted file mode 100644 index 3de843e..0000000 --- a/simple_examples/int32/G02BJJE.java +++ /dev/null @@ -1,303 +0,0 @@ -import com.nag.routines.G02.G02BJ; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * G02BJ example program text. - * @author ludovic - */ -public class G02BJJE { - - public static void main(String[] args) { - int i, ifail, ldcnt, ldr, ldssp, ldx, ncases = 0; //, m = 0, n = 0, nvars = 0; - double[] cnt, r, ssp, std, xbar;//, xmiss; - - if (args.length != 1) { - G02BJJE.usage(); - } - - String dataFile = args[0]; - DataHolder data = new DataHolder(); - readDataFile(dataFile, data); - System.out.println(" G02BJJ Example Program Results"); - System.out.println(); - - ldcnt = ldr = ldssp = data.nvars; - ldx = data.n; - cnt = new double[ldcnt * data.nvars]; - r = new double[ldr * data.nvars]; - ssp = new double[ldssp * data.nvars]; - std = new double[data.nvars]; - xbar = new double[data.nvars]; - - - //Display the data - - System.out.printf(" Number of variables (columns) = %5d\n", data.m); - System.out.printf(" Number of cases (rows) = %5d\n", data.n); - System.out.println(); - System.out.println(" Data matrix is:-"); - for (int ii = 0; ii < data.m; ++ii) { - System.out.printf(" %12d",ii+1); - } - System.out.println(); - for (int ii = 0; ii < data.n; ++ii) { - System.out.printf(" %3d ",ii+1); - for (int jj = 0; jj < data.m; ++jj) { - System.out.printf("%12.4f ",data.x[ii + jj * data.n]); - } - System.out.println(); - } - - ifail = 0; - G02BJ g02bj = new G02BJ(data.n, data.m, data.x, ldx, data.miss, data.xmiss, - data.nvars, data.kvar, xbar, std, ssp, ldssp, r, ldr, ncases, cnt, - ldcnt, ifail); - g02bj.eval(); - - data.n = g02bj.getN(); - data.m = g02bj.getM(); - data.x = g02bj.getX(); - ldx = g02bj.getLDX(); - data.miss = g02bj.getMISS(); - data.xmiss = g02bj.getXMISS(); - data.nvars = g02bj.getNVARS(); - data.kvar = g02bj.getKVAR(); - xbar = g02bj.getXBAR(); - std = g02bj.getSTD(); - ssp = g02bj.getSSP(); - ldssp = g02bj.getLDSSP(); - r = g02bj.getR(); - ldr = g02bj.getLDR(); - ncases = g02bj.getNCASES(); - cnt = g02bj.getCNT(); - ldcnt = g02bj.getLDCNT(); - ifail = g02bj.getIFAIL(); - - //Display results - System.out.println(); - System.out.println(" Variable\tMean\tSt.dev."); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %5d %11.4f %11.4f\n",data.kvar[ii], xbar[ii], std[ii]); - } - System.out.println(); - System.out.println(" Sums of squares and cross-products of deviations"); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %12d",data.kvar[ii]); - } - System.out.println(); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %3d",data.kvar[ii]); - for (int jj = 0; jj < data.nvars; ++jj) { - System.out.printf(" %12.4f",ssp[ii + ldssp * jj]); - } - System.out.println(); - } - System.out.println(); - System.out.println(" Correlation coefficients"); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %12d",data.kvar[ii]); - } - System.out.println(); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %3d",data.kvar[ii]); - for (int jj = 0; jj < data.nvars; ++jj) { - System.out.printf(" %12.4f",r[ii + ldr * jj]); - } - System.out.println(); - } - System.out.println(); - System.out.printf(" Minimum number of cases used for any pair of variables: %5d\n", ncases); - System.out.println(); - System.out.println(" Numbers used for each pair are:"); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %12d",data.kvar[ii]); - } - System.out.println(); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %3d",data.kvar[ii]); - for (int jj = 0; jj < data.nvars; ++jj) { - System.out.printf(" %12.4f",cnt[ii + ldcnt * jj]); - } - System.out.println(); - } - System.out.println(); - } - - private static void usage() { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - /** - G02BJF Example Program Data - 5 4 3 :: N, M, NVARS - 3.0 3.0 1.0 2.0 - 6.0 4.0 -1.0 4.0 - 9.0 0.0 5.0 9.0 - 12.0 2.0 0.0 0.0 - -1.0 5.0 4.0 12.0 :: End of X - 1 1 0 1 :: MISS - -1.0 0.0 0.0 0.0 :: XMISS - 4 1 2 :: KVAR - */ - private static void readDataFile(String filename, DataHolder data) { - try { - BufferedReader br = new BufferedReader(new FileReader(filename)); - String line = br.readLine(); // skip header - line = br.readLine(); - String[] sVal = line.split("\\s+"); - data.setN(Integer.parseInt(sVal[0])); - data.setM(Integer.parseInt(sVal[1])); - data.setNvars(Integer.parseInt(sVal[2])); - - data.x = new double[data.n * data.m]; - data.miss = new int[data.m]; - data.xmiss = new double[data.m]; - data.kvar = new int[data.nvars]; - - for (int i = 0; i < data.n; ++i) { - line = br.readLine().trim(); - sVal = line.split("\\s+"); - for (int j = 0; j < data.m; ++j) { - data.x[i + j * data.n] = Double.parseDouble(sVal[j]); - } - } - line = br.readLine().trim(); - sVal = line.split("\\s+"); - for (int j = 0; j < data.m; ++j) { - data.miss[j] = Integer.parseInt(sVal[j]); - } - line = br.readLine().trim(); - sVal = line.split("\\s+"); - for (int j = 0; j < data.m; ++j) { - data.xmiss[j] = Double.parseDouble(sVal[j]); - } - - line = br.readLine().trim(); - sVal = line.split("\\s+"); - for (int j = 0; j < data.nvars; ++j) { - data.kvar[j] = Integer.parseInt(sVal[j]); - } - } - catch (FileNotFoundException ex) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch (IOException ex) { - System.err.println("***FATAL: Can't Read " + filename + "\n" + ex.getMessage()); - System.exit(-3); - } - - } - - private static class DataHolder { - private int n; - private int m; - private int nvars; - private double[] x; - private int[] miss; - private double[] xmiss; - private int[] kvar; - - /** - * @return the n - */ - public int getN() { - return n; - } - - /** - * @param n the n to set - */ - public void setN(int n) { - this.n = n; - } - - /** - * @return the m - */ - public int getM() { - return m; - } - - /** - * @param m the m to set - */ - public void setM(int m) { - this.m = m; - } - - /** - * @return the nvars - */ - public int getNvars() { - return nvars; - } - - /** - * @param nvars the nvars to set - */ - public void setNvars(int nvars) { - this.nvars = nvars; - } - - /** - * @return the x - */ - public double[] getX() { - return x; - } - - /** - * @param x the x to set - */ - public void setX(double[] x) { - this.x = x; - } - - /** - * @return the miss - */ - public int[] getMiss() { - return miss; - } - - /** - * @param miss the miss to set - */ - public void setMiss(int[] miss) { - this.miss = miss; - } - - /** - * @return the xmiss - */ - public double[] getXmiss() { - return xmiss; - } - - /** - * @param xmiss the xmiss to set - */ - public void setXmiss(double[] xmiss) { - this.xmiss = xmiss; - } - - /** - * @return the kvar - */ - public int[] getKvar() { - return kvar; - } - - /** - * @param kvar the kvar to set - */ - public void setKvar(int[] kvar) { - this.kvar = kvar; - } - } -} diff --git a/simple_examples/int32/G02BRJE.java b/simple_examples/int32/G02BRJE.java deleted file mode 100644 index 084f478..0000000 --- a/simple_examples/int32/G02BRJE.java +++ /dev/null @@ -1,134 +0,0 @@ -import com.nag.routines.G02.G02BR; - -/** - * G02BRJ Example Program Text - * @author willa - * @since 27.1.0.0 - */ -public class G02BRJE{ - - /** - * G02BRJ Example main program - */ - public static void main(String[] args){ - int ifail, itype, ldrr, ldx, m, n, ncases = 0; //placeholder - double[] rr, work1, work2, x, xmiss; - int[] incase, kworka, kworkb, kworkc, miss; - - System.out.println("G02BRJ Example Program Results"); - System.out.println(); - - //Problem size - n = 9; - m = 3; - itype = 0; - - ldrr = m; - ldx = n; - - //Allocate - rr = new double[ldrr * m]; - work1 = new double[n]; - work2 = new double[n]; - x = new double[ldx * m]; - xmiss = new double[m]; - incase = new int[n]; - kworka = new int[n]; - kworkb = new int[n]; - kworkc = new int[n]; - miss = new int[m]; - - //Data - //X = (1.70, 1.00, 0.50) - // (2.80, 4.00, 3.00) - // (0.60, 6.00, 2.50) - // (1.80, 9.00, 6.00) - // (0.99, 4.00, 2.50) - // (1.40, 2.00, 5.50) - // (1.80, 9.00, 7.50) - // (2.50, 7.00, 0.00) - // (0.99, 5.00, 3.00) - x[0] = 1.7; - x[1] = 2.8; - x[2] = 0.6; - x[3] = 1.8; - x[4] = 0.99; - x[5] = 1.4; - x[6] = 1.8; - x[7] = 2.5; - x[8] = 0.99; - x[9] = 1; - x[10] = 4; - x[11] = 6; - x[12] = 9; - x[13] = 4; - x[14] = 2; - x[15] = 9; - x[16] = 7; - x[17] = 5; - x[18] = 0.5; - x[19] = 3; - x[20] = 2.5; - x[21] = 6; - x[22] = 2.5; - x[23] = 5.5; - x[24] = 7.5; - x[25] = 0; - x[26] = 3; - - //Missing value flags - miss[0] = 1; - miss[1] = 0; - miss[2] = 1; - xmiss[0] = 0.99; - xmiss[1] = 0; - xmiss[2] = 0; - - //Display data - System.out.printf("Number of variables (columns) = %d\n", m); - System.out.printf("Number of case (rows) = %d\n", n); - System.out.println(); - System.out.println("Data matrix is:-\n"); - System.out.println(); - for(int i = 0; i < m; i++){ - System.out.printf("\t %d", i + 1); - } - System.out.println(); - for(int i = 0; i < n; i++){ - System.out.printf(" %d\t", i + 1); - for(int j = 0; j < m; j++){ - System.out.printf("%.4f\t", x[(j * n) + i]); - } - System.out.println(); - } - System.out.println(); - - //Calculate correlation coefficients - ifail = 0; - G02BR g02br = new G02BR(n, m, x, ldx, miss, xmiss, itype, rr, ldrr, ncases, incase, kworka, kworkb, kworkc, - work1, work2, ifail); - g02br.eval(); - - //Update - ncases = g02br.getNCASES(); - - //Display results - System.out.println("Matrix of rank correlation coefficients:"); - System.out.println("Upper triangle -- Spearman's"); - System.out.println("Lower triangle -- Kendall's tau"); - System.out.println(); - for(int i = 0; i < m; i++){ - System.out.printf("\t %d", i + 1); - } - System.out.println(); - for(int i = 0; i < m; i++){ - System.out.printf(" %d\t", i + 1); - for(int j = 0; j < m; j++){ - System.out.printf("%.4f\t", rr[(j * m) + i]); - } - System.out.println(); - } - System.out.println(); - System.out.printf("Number of cases actually used: %d\n", ncases); - } -} diff --git a/simple_examples/int32/G02DAJE.java b/simple_examples/int32/G02DAJE.java deleted file mode 100644 index c390197..0000000 --- a/simple_examples/int32/G02DAJE.java +++ /dev/null @@ -1,187 +0,0 @@ -import com.nag.routines.G02.G02BU; -import com.nag.routines.G02.G02DA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * G02DAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class G02DAJE{ - - /** - * G02DAJ Example main program - */ - public static void main(String[] args){ - double aic, arsq, en, mult, rsq, rss = 0, sw = 0, tol; - int idf = 0, ifail, ip, irank = 0, ldq, ldx, lwt, m, n; - boolean svd = false; - String mean, weight; - double[] b, cov, h, p, q, res, se, wk, wt, x, y, c, wmean; - int[] isx; - - System.out.println("G02DAJ Example Program Results"); - System.out.println(); - - c = new double[1]; - wmean = new double[1]; - - //Problem size (can be read in from data file - n = 12; - m = 4; - weight = "U"; - mean = "M"; - - if(weight.toLowerCase().equals("w")){ - lwt = n; - } - else{ - lwt = 0; - } - ldx = n; - - x = new double[ldx * m]; - y = new double[n]; - wt = new double[n]; - isx = new int[m]; - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - line = reader.readLine(); //skip n, m, weight, mean - - //Read in data - String[] sVal; - for(int i = 0; i < n; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int j = 0; j < m; j++){ - x[(j * n) + i] = Double.parseDouble(sVal[j]); - } - y[i] = Double.parseDouble(sVal[m]); - if(lwt > 0){ - wt[i] = Double.parseDouble(sVal[m + 1]); - } - } - - //Read in variable inclusion flags - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int i = 0; i < m; i++){ - isx[i] = Integer.parseInt(sVal[i]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - System.exit(-2); - } - - //Calcluate IP - ip = 0; - for(int i = 0; i < m; i++){ - if(isx[i] == 1){ - ip++; - } - } - if(mean.toLowerCase().equals("m")){ - ip = ip + 1; - } - - //Allocate - ldq = n; - b = new double[ip]; - cov = new double[((ip * ip) + ip)/2]; - h = new double[n]; - p = new double[ip * ip * (ip + 2)]; - q = new double[ldq * (ip + 1)]; - res = new double[n]; - se = new double[ip]; - wk = new double[ip * ip + (5 * (ip - 1))]; - - //Use suggested value for tolerance - tol = 0.000001; - - //fit general linear regression model - ifail = -1; - G02DA g02da = new G02DA(mean, weight, n, x, ldx, m, isx, ip, y, wt, rss, idf, b, se, cov, res, h, q, - ldq, svd, irank, p, tol, wk, ifail); - g02da.eval(); - ifail = g02da.getIFAIL(); - if(ifail != 0){ - if(ifail != 5){ - System.exit(-3); - } - } - - //Calculate (weighted) total sums of squares, adjusted for mean if required - //If in G02DAF, an intercept is added to the regression by including a comlumn of - //1's in X, rather than by using the MEAN argument then MEAN = "M" should be used - //in this call to G02BUF - ifail = 0; - G02BU g02bu = new G02BU(mean, weight, n, 1, y, n, wt, sw, wmean, c, ifail); - g02bu.eval(); - - idf = g02da.getIDF(); - irank = g02da.getIRANK(); - //Get effective number of observations (=N if there are no zero weights) - en = (double) idf + irank; - - rss = g02da.getRSS(); - //Calculate R-squared, corrected R-Squared and AIC - rsq = 1 - rss/c[0]; - if(mean.toLowerCase().equals("m")){ - mult = (en - 1) / (en - irank); - } - else{ - mult = en / (en - irank); - } - arsq = 1 - mult * (1 - rsq); - aic = en * Math.log(rss/en) + (2 * irank); - - svd = g02da.getSVD(); - //Disply results - if(svd){ - System.out.printf("Model not of full rank, rank = %d", irank); - System.out.println(); - } - System.out.printf("Residual sum of squares = %.4e\n", rss); - System.out.printf("Degrees of freedom = %d\n", idf); - System.out.printf("R-squared = %.4e\n", rsq); - System.out.printf("Adjusted R-squared = %.4e\n", arsq); - System.out.printf("AIC = %.4e\n", aic); - System.out.println(); - System.out.printf("Variable\tParameter estimate\tStandard error\n"); - System.out.println(); - if(ifail == 0){ - for(int i = 0; i < ip; i++){ - System.out.printf(" %d\t\t %.4e\t\t %.4e\n", (i + 1), b[i], se[i]); - } - } - else{ - for(int i = 0; i < ip; i++){ - System.out.printf(" %d\t\t %.4e\n", (i + 1), b[i]); - } - } - System.out.println(); - System.out.printf(" Obs\t\t Residuals\t\t H\n"); - System.out.println(); - for(int i = 0; i < n; i++){ - System.out.printf(" %d\t\t %.4e\t\t %.4e\n", (i + 1), res[i], h[i]); - } - - } -} diff --git a/simple_examples/int32/G02EEJE.java b/simple_examples/int32/G02EEJE.java deleted file mode 100644 index 5856fde..0000000 --- a/simple_examples/int32/G02EEJE.java +++ /dev/null @@ -1,184 +0,0 @@ -import com.nag.routines.G02.G02EE; -import java.io.*; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * G02EE example program text. - */ -public class G02EEJE { - - public static void main(String[] args) throws Exception { - int vnlen = 3; - double chrss, f, fin, rss; - rss = chrss = f = Double.NaN; - int idf = 0, ifail = 0, ifr = 0, istep = 0, ldq, ldx, lwt, m, maxip, n, nterm = 0; - boolean addvar = false; - String mean, weight, newvar; - newvar = " "; - double[] exss, p, q, wk, wt, x, y; - int[] isx; - String[] free, model, vname; - - System.out.println(" G02EEJ Example Program Results\n"); - - BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); - - String line = dataIn.readLine(); - - String[] data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); - - n = Integer.parseInt(data[0]); - m = Integer.parseInt(data[1]); - mean = data[2].substring(1,2); - weight = data[3].substring(1,2); - fin = Double.parseDouble(data[4]); - - if (weight.equalsIgnoreCase("W")) { - lwt = n; - } - else { - lwt = 0; - } - ldx = n; - - x = new double[ldx*m]; - y = new double[n]; - wt = new double[lwt]; - isx = new int[m]; - vname = new String[m]; - - for (int i = 0; i < vname.length;++i) { - StringBuilder tmp = new StringBuilder(); - for (int j = 0; j < vnlen; ++j) { - tmp.append(" "); - } - vname[i] = tmp.toString(); - } - - if (lwt > 0) { - for (int i = 0; i < n; ++i) { - data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); - for (int j = 0; j < m; ++j) { - x[i+j*ldx] = Double.parseDouble(data[j]); - } - y[i] = Double.parseDouble(data[m]); - wt[i] = Double.parseDouble(data[m+1]); - } - } - else { - for (int i = 0; i < n; ++i) { - data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); - for (int j = 0; j < m; ++j) { - x[i+j*ldx] = Double.parseDouble(data[j]); - } - y[i] = Double.parseDouble(data[m]); - } - } - data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); - for (int i = 0; i < m; ++i) { - isx[i] = Integer.parseInt(data[i]); - } - - data = dataIn.readLine().trim().split("::")[0].trim() - .replaceAll("^'","").replaceAll("'$","").split("'\\s+'"); - for (int i = 0; i < m; ++i) { - vname[i] = data[i].substring(0,3); - } - - dataIn.close(); - - maxip = 0; - for (int i = 0; i < m; ++i) { - if (isx[i] > 0) { - ++maxip; - } - } - - if (mean.equalsIgnoreCase("M")) { - maxip += 1; - } - - ldq = n; - model = new String[maxip]; - free = new String[maxip]; - exss = new double[maxip]; - q = new double[ldq*(maxip+2)]; - p = new double[maxip+1]; - wk = new double[2*maxip]; - - for (int i = 0; i < model.length; ++i) { - StringBuilder tmp = new StringBuilder(); - for (int j = 0; j < vnlen; ++j) { - tmp.append(" "); - } - model[i] = tmp.toString(); - } - for (int i = 0; i < free.length; ++i) { - StringBuilder tmp = new StringBuilder(); - for (int j = 0; j < vnlen; ++j) { - tmp.append(" "); - } - free[i] = tmp.toString(); - } - istep = 0; - ifail = -1; - - - G02EE g02ee = new G02EE(istep,mean,weight,n,m,x,ldx,vname,isx,maxip,y,wt,fin, - addvar,newvar,chrss,f,model,nterm,rss,idf,ifr,free,exss,q,ldq,p, - wk,ifail); - for (int i = 0; i < m; ++i) { - g02ee.setIFAIL(0); - g02ee.eval(); - - System.out.printf(" Step %2d\n",g02ee.getISTEP()); - if (!g02ee.getADDVAR()) { - System.out.printf(" No further variables added maximum F =%7.2f\n",g02ee.getF()); - System.out.print(" Free variables: "); - for (int j = 0; j < g02ee.getIFR(); ++j) { - System.out.print(" "+free[j]); - } - System.out.println(); - System.out.println(" Change in residual sums of squares for free variables:"); - for (int j = 0; j < g02ee.getIFR(); ++j) { - System.out.printf(" %9.4f",g02ee.getEXSS()[j]); - } - System.out.println(); - break; - } - else { - System.out.println(" Added variable is "+g02ee.getNEWVAR()); - System.out.printf(" Change in residual sum of squares = %12.4E\n",g02ee.getCHRSS()); - System.out.printf(" F Statistic = %7.2f\n",g02ee.getF()); - System.out.println(); - System.out.print(" Variables in model:"); - for (int j = 0; j < g02ee.getNTERM(); ++j) { - System.out.print(" "+g02ee.getMODEL()[j]); - } - System.out.println("\n"); - System.out.printf(" Residual sum of squares = %13.4E\n",g02ee.getRSS()); - System.out.printf(" Degrees of freedom = %2d\n",g02ee.getIDF()); - System.out.println(); - if (g02ee.getIFR() == 0) { - System.out.println(" No free variables remaining"); - break; - } - System.out.print(" Free variables: "); - for (int j = 0; j < g02ee.getIFR(); ++j) { - System.out.print(" "+free[j]); - } - System.out.println(); - System.out.println(" Change in residual sums of squares for free variables:"); - for (int j = 0; j < g02ee.getIFR(); ++j) { - System.out.printf(" %9.4f",g02ee.getEXSS()[j]); - } - System.out.println(); - - } - - } - - } - -} diff --git a/simple_examples/int32/G02MAJE.java b/simple_examples/int32/G02MAJE.java deleted file mode 100644 index 4a8bfcb..0000000 --- a/simple_examples/int32/G02MAJE.java +++ /dev/null @@ -1,130 +0,0 @@ -import com.nag.routines.G02.G02MA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.util.Arrays; - -/** - * G02MAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class G02MAJE{ - - /** - * G02MAJ example main program - */ - public static void main(String[] args){ - int ifail, ip, ldb, ldd, lisx, lropt, m, mnstep, mtype, n, nstep = 0, pred, prey; - double[] b, d, fitsum, ropt, y; - int[] isx; - - isx = new int[0]; //placeholder - - System.out.println("G02MAJ Example Program Results"); - System.out.println(); - - //data (Could also read in from data file) - //Problem size - n = 20; - m = 6; - - //Model Specification - mtype = 1; - pred = 3; - prey = 1; - mnstep = 6; - lisx = 0; - - //Variable inclusion flags aren't needed in this example - ip = m; - - //Optional arguments (using defaults) - lropt = 0; - ropt = new double[lropt]; - - //D and Y - ldd = n; - y = new double[n]; - d = new double[ldd * m]; - - //Read in D and Y from data file (too large to write out) - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - line = reader.readLine(); //skip N, M - line = reader.readLine(); //skip mtype, pred, prey, mnstep, lisx - - String sVal[]; - - for(int i = 0; i < n; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int j = 0; j < m; j++){ - d[(j * n) + i] = Double.parseDouble(sVal[j]); - } - y[i] = Double.parseDouble(sVal[m]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - System.exit(-2); - } - - //Allocate output arrays - ldb = ip; - b = new double[ldb * (mnstep + 2)]; - fitsum = new double[6 * (mnstep + 1)]; - - //Call the model fitting routine - ifail = -1; - G02MA g02ma = new G02MA(mtype, pred, prey, n, m, d, ldd, isx, lisx, y, mnstep, ip, nstep, b, ldb, - fitsum, ropt, lropt, ifail); - g02ma.eval(); - ifail = g02ma.getIFAIL(); - if(ifail != 0){ - if(ifail != 112 && ifail != 161 && ifail != 162 && ifail !=163){ - //ifail = 112, 161, 162, 163 are warnings, so no need to terminate - System.exit(-2); - } - } - - //update - nstep = g02ma.getNSTEP(); - - //Display the parameter estimates - System.out.printf(" Step\t\t\tParameter Estimate\n"); - System.out.println("------------------------------------------------------"); - for(int i = 0; i < nstep; i++){ - System.out.printf(" %d", (i + 1)); - for(int j = 0; j < ip; j++){ - System.out.printf("\t%.3f", b[j + (i * nstep)]); - } - System.out.printf("\n"); - } - System.out.println(); - System.out.printf("alpha: %.3f\n", fitsum[nstep * 6]); - System.out.println(); - System.out.printf(" Step Sum\tRSS\t df\t Cp\t Ck\tStep Size\n"); - System.out.println("---------------------------------------------------------"); - for(int k = 0; k < nstep; k++){ - System.out.printf(" %d %.3f\t%.3f %d\t %.3f\t %.3f %.3f\n", (k + 1), fitsum[k * nstep], fitsum[(k * nstep) + 1], - (int)(Math.floor(fitsum[(k + nstep) + 2] + 0.5)), fitsum[(k * nstep) + 3], - fitsum[(k * nstep) + 4], fitsum[(k * nstep) + 5]); - } - System.out.println(); - System.out.printf("sigma^2: %.3f\n", fitsum[(nstep * 6) + 4]); - } -} diff --git a/simple_examples/int32/G03GAJE.java b/simple_examples/int32/G03GAJE.java deleted file mode 100644 index ba20592..0000000 --- a/simple_examples/int32/G03GAJE.java +++ /dev/null @@ -1,355 +0,0 @@ -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.util.Arrays; -import com.nag.routines.G03.G03GA; -import com.nag.routines.X04.X04CA; -import com.nag.routines.Routine; - -/** - * G03GAJ example program text. - * @author willa - * @since 27.0.0.0 - */ -public class G03GAJE{ - - /** - * G03GAJ example main program. - */ - public static void main(String[] args){ - int i, ldx, lprob, riter, lds, sds, ifail = 0; - double[] w, g, s, f; - double tol, loglik = 0; - - if(args.length != 1){ - G03GAJE.usage(); - } - - // Data file name as argument - String filename = args[0]; - // DataHolder object to hold data read in from data file - DataHolder data = new DataHolder(); - - readDataFile(filename, data); - - System.out.println(" G03GAJ Example Program Results"); - System.out.println(); - - // Leading dimensions - ldx = data.n; - lprob = data.n; - - - switch(data.sopt){ - case 1: - s = new double[data.nvar * data.nvar * data.ng]; - lds = data.nvar; - sds = data.nvar; - break; - case 2: - s = new double[data.nvar * data.nvar * 1]; - lds = data.nvar; - sds = data.nvar; - break; - case 3: - s = new double[data.nvar * data.ng * 1]; - lds = data.nvar; - sds = data.ng; - break; - case 4: - s = new double[data.nvar * 1 * 1]; - lds = data.nvar; - sds = 1; - break; - default: - s = new double[1 * 1 * 1]; - lds = 1; - sds = 1; - break; - } - - // Allocate array size - g = new double[data.nvar * data.ng]; - w = new double[data.ng]; - f = new double[data.n * data.ng]; - tol = 0.0; - riter = 5; - - ifail = 0; - - // Create g03ga object with variables from data file - G03GA g03ga = new G03GA(data.n, data.m, data.x, ldx, data.isx, data.nvar, data.ng, data.popt, data.prob, - lprob, data.niter, riter, w, g, data.sopt, s, lds, sds, f, tol, loglik, ifail); - - // Run routine - g03ga.eval(); - - // Update variables - data.n = g03ga.getN(); - data.m = g03ga.getM(); - data.x = g03ga.getX(); - ldx = g03ga.getLDX(); - data.isx = g03ga.getISX(); - data.nvar = g03ga.getNVAR(); - data.ng = g03ga.getNG(); - data.popt = g03ga.getPOPT(); - data.prob = g03ga.getPROB(); - lprob = g03ga.getLPROB(); - data.niter = g03ga.getNITER(); - riter = g03ga.getRITER(); - w = g03ga.getW(); - g = g03ga.getG(); - data.sopt = g03ga.getSOPT(); - s = g03ga.getS(); - lds = g03ga.getLDS(); - sds = g03ga.getSDS(); - f = g03ga.getF(); - tol = g03ga.getTOL(); - loglik = g03ga.getLOGLIK(); - ifail = g03ga.getIFAIL(); - - // Results - X04CA x04ca = new X04CA(); - - System.out.println(); - ifail = 0; - x04ca.eval("g", "n", 1, data.ng, w, 1, "Mixing proportions", ifail); - - System.out.println(); - ifail = 0; - x04ca.eval("g", "n", data.nvar, data.ng, g, data.nvar, "Group means", ifail); - - System.out.println(); - switch(data.sopt){ - case 1: - for(i = 0; i < data.ng; i++){ - ifail = 0; - // Wrapper returns a 1-dimensional array so X04CA has to be called like this to mimic - // calling X04CA along the 3rd dimension - x04ca.eval("g", "n", data.nvar, data.nvar, - Arrays.copyOfRange(s, (i * (data.nvar * data.nvar)), (data.nvar * data.nvar * data.ng)), - lds, "Variance-cavariance matrix", ifail); - } - break; - case 2: - ifail = 0; - x04ca.eval("g", "n", data.nvar, data.nvar, s, lds, "Pooled Variance-covariance matrix", ifail); - break; - case 3: - ifail = 0; - x04ca.eval("g", "n", data.nvar, data.ng, s, lds, "Groupwise Variance", ifail); - break; - case 4: - ifail = 0; - x04ca.eval("g", "n", data.nvar, 1, s, lds, "Pooled Variance", ifail); - break; - case 5: - ifail = 0; - x04ca.eval("g", "n", 1, 1, s, lds, "Overall Variance", ifail); - break; - } - - System.out.println(); - ifail = 0; - x04ca.eval("g", "n", data.n, data.ng, f, data.n, "Densities", ifail); - - System.out.println(); - ifail = 0; - x04ca.eval("g", "n", data.n, data.ng, data.prob, data.n, "Membership probabilities", ifail); - - System.out.println(); - System.out.println("No. iterations: " + data.niter); - System.out.printf("Log-likelihood: %.04f\n", loglik); - } - - /** - * Read data from given filename and puts into DataHolder object - * @param filename - * Name of data file (absolute or relative path) - * @param data - * DataHolder object to store data from data file - */ - public static void readDataFile(String filename, DataHolder data){ - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - // Problem size - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - data.setN(Integer.parseInt(sVal[0])); - data.setM(Integer.parseInt(sVal[1])); - data.setNvar(Integer.parseInt(sVal[2])); - - // Number of groups - line = reader.readLine(); - sVal = line.split("\\s+"); - data.setNg(Integer.parseInt(sVal[0])); - - // Scaling option - line = reader.readLine(); - sVal = line.split("\\s+"); - data.setSopt(Integer.parseInt(sVal[0])); - - // Initial probabilities option - line = reader.readLine(); - sVal = line.split("\\s+"); - data.setPopt(Integer.parseInt(sVal[0])); - - // Maximum number of iterations - line = reader.readLine(); - sVal = line.split("\\s+"); - data.setNiter(Integer.parseInt(sVal[0])); - - // - data.x = new double[data.m * data.n]; - data.prob = new double[data.ng * data.n]; - data.isx = new int[data.m]; - - //Data matrix X - for(int i = 0; i < data.n; ++i){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int j = 0; j < data.m; ++j){ - data.x[i + (j * data.n)] = Double.parseDouble(sVal[j]); - } - } - - //Included variables - if(data.nvar != data.m){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int i = 0; i < data.m; ++i){ - data.isx[i] = Integer.parseInt(sVal[i]); - } - } - - - //Optionally read initial probabilities of group memebership (included in example data) - if(data.popt == 2){ - for(int i = 0; i < data.n; ++i){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int j = 0; j < data.ng; ++j){ - data.prob[i + (j * data.n)] = Double.parseDouble(sVal[j]); - } - } - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - - } - - /** - * Stores data from data file for later reference - */ - private static class DataHolder{ - private int n; - private int m; - private int nvar; - private int ng; - private int sopt; - private int popt; - private int niter; - private int isx[]; - private double x[]; - private double prob[]; - - public void setN(int n){ - this.n = n; - } - - public int getN(){ - return n; - } - - public void setM(int m){ - this.m = m; - } - - public int getM(){ - return m; - } - - public void setNvar(int nvar){ - this.nvar = nvar; - } - - public int getNvar(){ - return nvar; - } - - public void setNg(int ng){ - this.ng = ng; - } - - public int getNg(){ - return ng; - } - - public void setSopt(int sopt){ - this.sopt = sopt; - } - - public int getSopt(){ - return sopt; - } - - public void setPopt(int popt){ - this.popt = popt; - } - - public int getPopt(){ - return popt; - } - - public void setNiter(int niter){ - this.niter = niter; - } - - public int getNiter(){ - return niter; - } - - public void setIsx(int[] isx){ - this.isx = isx; - } - - public int[] getIsx(){ - return isx; - } - - public void setX(double[] x){ - this.x = x; - } - - public double[] getX(){ - return x; - } - - public void setProb(double[] prob){ - this.prob = prob; - } - - public double[] getProb(){ - return prob; - } - } - - /** - * No arguments supplied when example runs - */ - private static void usage() { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} - diff --git a/simple_examples/int32/G05KFJE.java b/simple_examples/int32/G05KFJE.java deleted file mode 100644 index 18ce755..0000000 --- a/simple_examples/int32/G05KFJE.java +++ /dev/null @@ -1,105 +0,0 @@ -import com.nag.routines.G05.G05KF; -import com.nag.routines.G05.G05SA; -import com.nag.routines.Routine; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * G05KFJ example program text. - * @author willa - * @since 27.0.0.0 - */ -public class G05KFJE{ - - /** - * G05KFJ example main program. - */ - public static void main(String[] args){ - //genid, subid only initilised so they can be set in try{} without java throwing error - int lseed = 1, nin = 5, nout = 6, genid = 0, n = 0, subid = 0; - int ifail, lstate; - int[] seed, state; - double x[]; - - System.out.println("G05KFJ Example Program Results"); - System.out.println(); - - //No file input given - if(args.length != 1){ - G05KFJE.usage(); - } - - seed = new int[lseed]; - - //Read in data from data fiel - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //Read in the base generator information and seed - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - genid = Integer.parseInt(sVal[0]); - subid = Integer.parseInt(sVal[1]); - seed[0] = Integer.parseInt(sVal[2]); - - //Read in sample size - line = reader.readLine(); - sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[0]); - - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - lstate = 0; - ifail = 0; - state = new int[lstate]; - - //Initial call to get size of STATE array - G05KF g05kf = new G05KF(genid, subid, seed, lseed, state, lstate, ifail); - g05kf.eval(); - - //Update local variables - lstate = g05kf.getLSTATE(); - state = g05kf.getSTATE(); - - //Reallocate STATE - state = new int[lstate]; - - //Update object variables - g05kf.setSTATE(state); - g05kf.eval(); - - //Update local variables - state = g05kf.getSTATE(); - - x = new double[n]; - - //Generate the variates - ifail = 0; - G05SA g05sa = new G05SA(n, state, x, ifail); - g05sa.eval(); - - //Display the variates - for(int i = 0; i < x.length; i++){ - System.out.printf("%.4f\n", x[i]); - } - } - - /** - * Print usage information. - */ - private static void usage(){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} diff --git a/simple_examples/int32/G13AWJE.java b/simple_examples/int32/G13AWJE.java deleted file mode 100644 index 9e829bd..0000000 --- a/simple_examples/int32/G13AWJE.java +++ /dev/null @@ -1,31 +0,0 @@ -import com.nag.routines.G01.G01EW; -import com.nag.routines.G13.G13AW; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * G13AW example program text. - */ -public class G13AWJE { - - public static void main(String[] args) { - - int n = 30, type = 1, p = 1, ifail = 1, method = 1, nsamp = 0; - double[] y = {-217.,-177.,-166.,-136.,-110.,-95.,-64.,-37.,-14.,-25.,-51., - -62.,-73.,-88.,-113.,-120.,-83.,-33.,-19.,21.,17.,44.,44.,78., - 88.,122.,126.,114.,85.,64}; - int[] state = new int[1]; - G13AW g13aw = new G13AW(type, p, n, y, ifail); - System.out.println(" G13AWJ Example Program Results\n"); - double ts = g13aw.eval(); - G01EW g01ew = new G01EW(method,type,n,ts,nsamp,state,ifail); - double pvalue = g01ew.eval(); - ifail = g01ew.getIFAIL(); - if (ifail == 0 || ifail == 201) { - System.out.printf("Dickey-Fuller test statistic = %6.3f\n", ts); - System.out.printf("associated p-value = %6.3f\n", pvalue); - } - - } - -} diff --git a/simple_examples/int32/G13MEJE.java b/simple_examples/int32/G13MEJE.java deleted file mode 100644 index a768a46..0000000 --- a/simple_examples/int32/G13MEJE.java +++ /dev/null @@ -1,160 +0,0 @@ -import com.nag.routines.G13.G13ME; - -/** - * G13MEJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class G13MEJE{ - - /** - * G13MEJ main program - */ - public static void main(String[] args){ - double tau; - int ifail, lrcomm, m, nb, pn; - double[] iema, rcomm, sinit, t; - int[] inter, nbVal; - - inter = new int[2]; - - System.out.println("G13MEJ Example Program Results"); - System.out.println(); - - //data (can read in from data file) - //Number of iteration required - m = 2; - - //Decay parameter and interpolation method - tau = 2; - inter[0] = 3; - inter[1] = 2; - - //Initial values - sinit = new double[m + 2]; - sinit[0] = 5; - sinit[1] = 0.5; - sinit[2] = 0.5; - sinit[3] = 0.5; - - //Array of NB values in order - nbVal = new int[3]; - nbVal[0] = 5; - nbVal[1] = 10; - nbVal[2] = 15; - - //First block - double[] t1 = new double[nbVal[0]]; - double[] iema1 = new double[nbVal[0]]; - t1[0] = 7.5; - t1[1] = 8.2; - t1[2] = 18.1; - t1[3] = 22.8; - t1[4] = 25.8; - iema1[0] = 0.6; - iema1[1] = 0.6; - iema1[2] = 0.8; - iema1[3] = 0.1; - iema1[4] = 0.2; - - //Second block - double[] t2 = new double[nbVal[1]]; - double[] iema2 = new double[nbVal[1]]; - t2[0] = 26.8; - t2[1] = 31.1; - t2[2] = 38.4; - t2[3] = 45.9; - t2[4] = 48.2; - t2[5] = 48.9; - t2[6] = 57.9; - t2[7] = 58.5; - t2[8] = 63.9; - t2[9] = 65.2; - iema2[0] = 0.2; - iema2[1] = 0.5; - iema2[2] = 0.7; - iema2[3] = 0.1; - iema2[4] = 0.4; - iema2[5] = 0.7; - iema2[6] = 0.8; - iema2[7] = 0.3; - iema2[8] = 0.2; - iema2[9] = 0.5; - - //Third block - double[] t3 = new double[nbVal[2]]; - double[] iema3 = new double[nbVal[2]]; - t3[0] = 66.6; - t3[1] = 67.4; - t3[2] = 69.3; - t3[3] = 69.9; - t3[4] = 73.0; - t3[5] = 75.6; - t3[6] = 77.0; - t3[7] = 84.7; - t3[8] = 86.8; - t3[9] = 88.0; - t3[10] = 88.5; - t3[11] = 91.0; - t3[12] = 93.0; - t3[13] = 93.7; - t3[14] = 94.0; - iema3[0] = 0.2; - iema3[1] = 0.3; - iema3[2] = 0.8; - iema3[3] = 0.6; - iema3[4] = 0.1; - iema3[5] = 0.7; - iema3[6] = 0.9; - iema3[7] = 0.6; - iema3[8] = 0.3; - iema3[9] = 0.1; - iema3[10] = 0.1; - iema3[11] = 0.4; - iema3[12] = 1.0; - iema3[13] = 1.0; - iema3[14] = 0.1; - - //Print some titles - System.out.printf("\t\t\tIterated\n"); - System.out.println("\t\tTime\t EMA\n"); - System.out.println("--------------------------------"); - - lrcomm = 20 + m; - rcomm = new double[lrcomm]; - - pn = 0; - - //Loop through 3 blocks - for(int i = 0; i < nbVal.length; i++){ - //nb for given block - nb = nbVal[i]; - - //Use data for current block - if(i == 0){ - t = t1; - iema = iema1; - } - else if(i == 1){ - t = t2; - iema = iema2; - } - else{ - t = t3; - iema = iema3; - } - - ifail = 0; - G13ME g13me = new G13ME(nb, iema, t, tau, m, sinit, inter, pn, rcomm, lrcomm, ifail); - g13me.eval(); - pn = g13me.getPN(); - - //Display results for this block of data - for(int j = 0; j < nb; j++){ - System.out.printf("\t%d\t%.1f\t%.3f\n", pn - nb + (j + 1), t[j], iema[j]); - } - System.out.println(); - } - } -} - diff --git a/simple_examples/int32/G13NAJE.java b/simple_examples/int32/G13NAJE.java deleted file mode 100644 index 2032eb1..0000000 --- a/simple_examples/int32/G13NAJE.java +++ /dev/null @@ -1,123 +0,0 @@ -import com.nag.routines.G13.G13NA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * G13NAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class G13NAJE{ - - /** - * G13NAJ example main program - */ - public static void main(String[] args){ - double beta = 0; - int ctype = 0, ifail, iparam = 0, minss = 0, n = 0, ntau = 0; //placeholder - double[] param, sparam, y; - int[] tau; - - param = new double[1]; - //Placeholder y to be read in from data file - y = new double[0]; - - System.out.println("G13NAJ Example Program Results"); - System.out.println(); - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //Read in the problem size - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[0]); - - //Allocate enough size to hold the input series - y = new double[n]; - - //Read in the input series - for(int i = 0; i < 10; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int j = 0; j < 10; j++){ - y[(i * 10) + j] = Double.parseDouble(sVal[j]); - } - } - - //Read in the type of change point, penalty and minimum segment size - line = reader.readLine(); - sVal = line.split("\\s+"); - ctype = Integer.parseInt(sVal[0]); - iparam = Integer.parseInt(sVal[1]); - beta = Double.parseDouble(sVal[2]); - minss = Integer.parseInt(sVal[3]); - - //Read in the distribution parameter (if required) - if(iparam == 1){ - line = reader.readLine(); - sVal = line.split("\\s+"); - param[0] = Double.parseDouble(sVal[0]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - System.exit(-2); - } - - //Output arrays - tau = new int[n]; - sparam = new double[(2 * n) + 2]; - - ifail = -1; - - //Call routine to detece change points - G13NA g13na = new G13NA(ctype, n, y, beta, minss, iparam, param, ntau, tau, sparam, ifail); - g13na.eval(); - - //update - ifail = g13na.getIFAIL(); - ctype = g13na.getCTYPE(); - ntau = g13na.getNTAU(); - - if(ifail == 0 || ifail == 200 || ifail == 201){ - //Display the results - if(ctype == 5 || ctype == 6){ - //Exponential or Poisson distribtion - System.out.printf(" -- Charge Points -- Distribution\n"); - System.out.printf(" Number Position Parameter \n"); - System.out.println("====================================="); - for(int i = 0; i < ntau; i++){ - System.out.printf(" %d\t %d\t%.2f", i + 1, tau[i], sparam[i]); - } - - } - else{ - //Normal of Gamma distribution - System.out.printf(" -- Charge Points -- --- Distribution ---\n"); - System.out.printf(" Number Position Parameters\n"); - System.out.println("================================================="); - for(int i = 0; i < ntau; i++){ - System.out.printf(" %d\t %d\t %.2f\t %.2f\n", (i + 1), tau[i], sparam[2 * i], sparam[(2 * i) + 1]); - } - } - } - if(ifail == 200 || ifail == 201){ - System.out.println("Some truncation occured internally to avoid overflow"); - } - } -} diff --git a/simple_examples/int32/H02BBJE.java b/simple_examples/int32/H02BBJE.java deleted file mode 100644 index 04f4207..0000000 --- a/simple_examples/int32/H02BBJE.java +++ /dev/null @@ -1,92 +0,0 @@ -import com.nag.routines.H.H02BB; - -/** - * H02BBJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class H02BBJE{ - - /** - * H02BBJ example main program - */ - public static void main(String[] args){ - double bigbnd, objmip = 0, tolfes, toliv; - int ifail, intfst, itmax, lda, liwork, lrwork, m, maxdpt, maxnod, msglvl, n; - double[] a, bl, bu, cvec, rwork, x; - int[] intvar, iwork; - - System.out.println("H02BBJ Example Program Results"); - System.out.println(); - - //Data (can be read in from data file) - n = 2; - m = 3; - lda = m; - - a = new double[lda * n]; - bl = new double[m + n]; - bu = new double[m + n]; - cvec = new double[n]; - x = new double[n]; - intvar = new int[n]; - - itmax = 0; - msglvl = 10; - maxnod = 0; - intfst = 0; - maxdpt = 4; - tolfes = 0; - toliv = 0; - - cvec[0] = -3; - cvec[1] = -4; - - //A = ( 2, 5) - // ( 2, -2) - // ( 3, 2) - a[0] = 2; - a[1] = 2; - a[2] = 3; - a[3] = 5; - a[4] = -2; - a[5] = 2; - - bigbnd = 1E+20; - - bl[0] = 0; - bl[1] = 0; - bl[2] = -1E+20; - bl[3] = -1E+20; - bl[4] = 5; - - bu[0] = 1E+20; - bu[1] = 1E+20; - bu[2] = 15; - bu[3] = 5; - bu[4] = 1E+20; - - intvar[0] = 1; - intvar[1] = 1; - - x[0] = 1; - x[1] = 1; - - liwork = ((25 + n + m) * maxdpt) + (5 * n) + m + 4; - //Math.pow() needs to be casted to int in java - lrwork = (maxdpt * (n + 1)) + (2 * (int)Math.pow(Math.min(n, m + 1), 2)) + (14 * n) + (12 * m); - iwork = new int[liwork]; - rwork = new double[lrwork]; - - ifail = 0; - - H02BB h02bb = new H02BB(itmax, msglvl, n, m, a, lda, bl, bu, intvar, cvec, maxnod, intfst, maxdpt, toliv, - tolfes, bigbnd, x, objmip, iwork, liwork, rwork, lrwork, ifail); - h02bb.eval(); - } -} - - - - - diff --git a/simple_examples/int32/H02DAJE.java b/simple_examples/int32/H02DAJE.java deleted file mode 100644 index 6e90401..0000000 --- a/simple_examples/int32/H02DAJE.java +++ /dev/null @@ -1,228 +0,0 @@ -import com.nag.routines.H.H02DA; -import com.nag.routines.H.H02ZK; -import com.nag.routines.H.H02ZL; -import com.nag.routines.X04.X04CA; -import java.util.Arrays; - -/** - * H02DAJ exmaple program text - * @author willa - * @since 27.1.0.0 - */ -public class H02DAJE{ - - /** - * H02DAJ example main program - */ - public static void main(String[] args){ - double acc, accqp = 0, objmip = 0; - int ifail, ivalue = 0, lda, liopts, lopts, maxit, n, nclin, ncnln, optype = 0; - String cvalue; - double[] a, ax, bl, bu, c, cjac, d, objgrd, x, opts, ruser; - int[] iopts, iuser, varcon; - - System.out.println("H02DAJ Example Program Results"); - System.out.println(); - - opts = new double[100]; - ruser = new double[1]; - iopts = new int[200]; - iuser = new int[1]; - - //Blank 40 character string to represent ```Character (40) :: cvalue``` - char[] ch = new char[40]; - Arrays.fill(ch, ' '); - cvalue = new String(ch); - - n = 8; - nclin = 5; - ncnln = 2; - lda = nclin; - - a = new double[lda * n]; - d = new double[nclin]; - ax = new double[nclin]; - bl = new double[n]; - bu = new double[n]; - varcon = new int[n + nclin + ncnln]; - x = new double[n]; - c = new double[ncnln]; - cjac = new double[ncnln * n]; - objgrd = new double[n]; - - //Set variable types: continuous then binary - varcon[0] = 0; - varcon[1] = 0; - varcon[2] = 0; - varcon[3] = 0; - varcon[4] = 1; - varcon[5] = 1; - varcon[6] = 1; - varcon[7] = 1; - - //Set continuous variable bounds - bl[0] = 0; - bl[1] = 0; - bl[2] = 0; - bl[3] = 0; - bu[0] = 1000; - bu[1] = 1000; - bu[2] = 1000; - bu[3] = 1000; - - //Bounds for binary variables need not be provided - bl[4] = 0; - bl[5] = 0; - bl[6] = 0; - bl[7] = 0; - bu[4] = 1; - bu[5] = 1; - bu[6] = 1; - bu[7] = 1; - - //Set linear constraint, equality first - varcon[n] = 3; - varcon[n + 1] = 4; - varcon[n + 2] = 4; - varcon[n + 3] = 4; - varcon[n + 4] = 4; - - //Set Ax=d then Ax>=d - //( 1, 1, 1, 1, 0, 0, 0, 0) - //(-1, 0, 0, 0, 1, 0, 0, 0) - //( 0,-1, 0, 0, 0, 1, 0, 0) - //( 0, 0,-1, 0, 0, 0, 1, 0) - //( 0, 0, 0,-1, 0, 0, 0, 1) - a[0] = 1; - a[1] = -1; - a[5] = 1; - a[7] = -1; - a[10] = 1; - a[13] = -1; - a[15] = 1; - a[19] = -1; - a[21] = 1; - a[27] = 1; - a[33] = 1; - a[39] = 1; - d[0] = 1; - d[1] = 0; - d[2] = 0; - d[3] = 0; - d[4] = 0; - - //Set constraints supplied by CONFUN, equality first - varcon[n + nclin] = 3; - varcon[n + nclin + 1] = 4; - - liopts = iopts.length; - lopts = opts.length; - - //Initialize communication arrays - ifail = 0; - H02ZK h02zk = new H02ZK("Initialize = H02DAF", iopts, liopts, opts, lopts, ifail); - h02zk.eval(); - - - //Optimization parameters - maxit = 500; - acc = 0.000001; - - //Initial estimate (binary variables need not be given) - x[0] = 1; - x[1] = 1; - x[2] = 1; - x[3] = 1; - x[4] = 0; - x[5] = 0; - x[6] = 0; - x[7] = 0; - - //Portfolio parameters p and rho - iuser[0] = 3; - ruser[0] = 10; - - ifail = 0; - //Create objfun1, confun1 to pass to H02DA representing repsecitve subroutines - objfun objfun1 = new objfun(); - confun confun1 = new confun(); - H02DA h02da = new H02DA(n, nclin, ncnln, a, lda, d, ax, bl, bu, varcon, x, confun1, c, cjac, objfun1, - objgrd, maxit, acc, objmip, iopts, opts, iuser, ruser, ifail); - h02da.eval(); - - //Results - ifail = h02da.getIFAIL(); - if(ifail == 0){ - X04CA x04ca = new X04CA("G", "N", n, 1, x, n, "Final Esimate:", ifail); - x04ca.eval(); - - //Query the accuracy of the mixed integer QP Solver - ifail = -1; - H02ZL h02zl = new H02ZL("QP Accuracy", ivalue, accqp, cvalue, optype, iopts, opts, ifail); - h02zl.eval(); - - //Update values to print - accqp = h02zl.getRVALUE(); - objmip = h02da.getOBJMIP(); - ifail = h02zl.getIFAIL(); - if(ifail == 0){ - System.out.printf("Requested accuracy of QP subproblems\t%.4e\n", accqp); - } - System.out.printf("Optimised value:\t%.3f\n", objmip); - } - else{ - System.out.printf("h02daf returns ifail = %d\n", ifail); - } - } - - /** - * objfun class extending Abstract_H02DA_OBJFUN to represent objfun subroutine for passing to H02DA - */ - public static class objfun extends H02DA.Abstract_H02DA_OBJFUN{ - public void eval(){ - if(this.MODE == 0){ - //Objective value - this.OBJMIP = (this.X[0] * ((4 * this.X[0]) + (3 * this.X[1]) - this.X[2])) - + (this.X[1] * ((3 * this.X[0]) + (6 * this.X[1]) + this.X[2])) - + (this.X[2] * (this.X[1] - this.X[0] + (10 * this.X[2]))); - } - else{ - //Objective gradients for continous varaiables - this.OBJGRD[0] = (8 * this.X[0]) + (6 * this.X[1]) - (2 * this.X[2]); - this.OBJGRD[1] = (6 * this.X[0]) + (12 * this.X[1]) + (2 * this.X[2]); - this.OBJGRD[2] = (2 * (this.X[1] - this.X[0])) + (20 * this.X[2]); - this.OBJGRD[3] = 0; - } - } - } - - /** - * confun class extending Abstract_H02DA_CONFUN to represent confun subroutine for passing to H02DA - */ - public static class confun extends H02DA.Abstract_H02DA_CONFUN{ - public void eval(){ - if(this.MODE == 0){ - //Constraints - int p = this.IUSER[0]; - double rho = this.RUSER[0]; - - //Mean return rho: - this.C[0] = (8 * this.X[0]) + (9 * this.X[1]) + (12 * this.X[2]) + (7 * this.X[3]) - rho; - //Maximum of p assets in portfolio - this.C[1] = p - this.X[4] - this.X[5] - this.X[6] - this.X[7]; - } - else{ - //Jacobian - this.CJAC[0] = 8; - this.CJAC[2] = 9; - this.CJAC[4] = 12; - this.CJAC[6] = 7; - //c[2] does not include continuours varaibles which requries that their derivatives are zero - this.CJAC[1] = 0; - this.CJAC[3] = 0; - this.CJAC[5] = 0; - this.CJAC[7] = 0; - } - } - } -} diff --git a/simple_examples/int32/M01CCJE.java b/simple_examples/int32/M01CCJE.java deleted file mode 100644 index fda5e2f..0000000 --- a/simple_examples/int32/M01CCJE.java +++ /dev/null @@ -1,42 +0,0 @@ -import com.nag.routines.M01.M01CC; -import java.io.*; - -/** - * M01CC example program text. - */ -public class M01CCJE { - - public static void main(String[] args) throws Exception { - - String[] ch; - String order = "Reverse ASCII"; - int m1,m2,l1,l2; - int ifail = 0; - - BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); - - dataIn.readLine(); - m2 = Integer.parseInt(dataIn.readLine().trim().split(":+")[0].trim()); - ch = new String[m2]; - m1 = 1; - for (int i = m1-1; i < m2; ++i) { - ch[i] = dataIn.readLine(); - } - dataIn.close(); - l1 = 7; - l2 = 12; - - System.out.println(" M01CCJ Example Program Results"); - M01CC m01cc = new M01CC(ch, m1, m2, l1, l2, order, ifail); - m01cc.eval(); - ifail = m01cc.getIFAIL(); - System.out.println(); - System.out.printf(" Records sorted on columns %2d to %2d\n",l1,l2); - System.out.println(); - for (int i = m1-1; i < m2; ++i) { - System.out.println(" "+ch[i]); - } - - } - -} diff --git a/simple_examples/int32/S01BAJE.java b/simple_examples/int32/S01BAJE.java deleted file mode 100644 index 4bf2823..0000000 --- a/simple_examples/int32/S01BAJE.java +++ /dev/null @@ -1,39 +0,0 @@ -import com.nag.routines.S.S01BA; - -/** - * S01BAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S01BAJE{ - - /** - * S01BAJE main program - */ - public static void main(String[] args){ - double y; - int ifail; - double[] xVal; //data - - //store data - xVal = new double[6]; - xVal[0] = 2.5; - xVal[1] = 0.125; - xVal[2] = -0.906; - xVal[3] = 0.00129; - xVal[4] = -0.00000783; - xVal[5] = 0.000000001; - - System.out.println("S01BAJ Example Program Results"); - System.out.println(); - System.out.printf("\tX\t\tY\n"); - - for(double x : xVal){ - ifail = -1; - S01BA s01ba = new S01BA(x, ifail); - y = s01ba.eval(); - - System.out.printf("\t%.4e\t%.4e\n", x, y); - } - } -} diff --git a/simple_examples/int32/S10AAJE.java b/simple_examples/int32/S10AAJE.java deleted file mode 100644 index 2a0878a..0000000 --- a/simple_examples/int32/S10AAJE.java +++ /dev/null @@ -1,40 +0,0 @@ -import com.nag.routines.S.S10AA; - -/** - * S10AAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S10AAJE{ - - /** - * S10AAJ example main program - */ - public static void main(String[] args){ - double y; - double[] xVal; - int ifail; - - //x values (can be read in from data file) - xVal = new double[4]; - xVal[0] = -20; - xVal[1] = -5.0; - xVal[2] = 0.5; - xVal[3] = 5.0; - - System.out.println("S10AAJ Example Program Results"); - - System.out.println(); - System.out.printf("\tX\t\tY"); - System.out.println(); - - for(double x : xVal){ - ifail = -1; - S10AA s10aa = new S10AA(x, ifail); - y = s10aa.eval(); - ifail = s10aa.getIFAIL(); - - System.out.printf("\t%.3e\t%.3e\n", x, y); - } - } -} diff --git a/simple_examples/int32/S10ABJE.java b/simple_examples/int32/S10ABJE.java deleted file mode 100644 index dd84ab7..0000000 --- a/simple_examples/int32/S10ABJE.java +++ /dev/null @@ -1,41 +0,0 @@ -import com.nag.routines.S.S10AB; - -/** - * S10ABJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S10ABJE{ - - /** - * S10ABJ example main program - */ - public static void main(String[] args){ - double y; - double[] xVal; - int ifail; - - //x values (can be read in from data file) - xVal = new double[5]; - xVal[0] = -10; - xVal[1] = -0.5; - xVal[2] = 0; - xVal[3] = 0.5; - xVal[4] = 25.0; - - System.out.println("S10ABJ Example Program Results"); - - System.out.println(); - System.out.printf("\tX\t\tY"); - System.out.println(); - - for(double x : xVal){ - ifail = -1; - S10AB s10ab = new S10AB(x, ifail); - y = s10ab.eval(); - ifail = s10ab.getIFAIL(); - - System.out.printf("\t%.3e\t%.3e\n", x, y); - } - } -} diff --git a/simple_examples/int32/S10ACJE.java b/simple_examples/int32/S10ACJE.java deleted file mode 100644 index cc0c04c..0000000 --- a/simple_examples/int32/S10ACJE.java +++ /dev/null @@ -1,41 +0,0 @@ -import com.nag.routines.S.S10AC; - -/** - * S10ACJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S10ACJE{ - - /** - * S10ACJ example main program - */ - public static void main(String[] args){ - double y; - double[] xVal; - int ifail; - - //x values (can be read in from data file) - xVal = new double[5]; - xVal[0] = -10; - xVal[1] = -0.5; - xVal[2] = 0; - xVal[3] = 0.5; - xVal[4] = 25.0; - - System.out.println("S10ACJ Example Program Results"); - - System.out.println(); - System.out.printf("\tX\t\tY"); - System.out.println(); - - for(double x : xVal){ - ifail = -1; - S10AC s10ac = new S10AC(x, ifail); - y = s10ac.eval(); - ifail = s10ac.getIFAIL(); - - System.out.printf("\t%.3e\t%.3e\n", x, y); - } - } -} diff --git a/simple_examples/int32/S14ABJE.java b/simple_examples/int32/S14ABJE.java deleted file mode 100644 index 673a4b3..0000000 --- a/simple_examples/int32/S14ABJE.java +++ /dev/null @@ -1,71 +0,0 @@ -import com.nag.routines.S.S14AB; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * S14ABJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S14ABJE{ - - /** - * S14ABJ example main program - */ - public static void main(String[] args){ - double x, y; - int ifail; - - System.out.println("S14ABJ Example Program Results"); - - //Supply file path as argument - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - System.out.println(); - System.out.printf("\tX\t\tY"); - System.out.println(); - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //loop until break - while(true){ - line = reader.readLine(); - - //if finished looping through file break - if(line == null){ - break; - } - String[] sVal = line.split("\\s+"); - - x = Double.parseDouble(sVal[1]); - - ifail = -1; - S14AB s14ab = new S14AB(x, ifail); - y = s14ab.eval(); - //update ifail - ifail = s14ab.getIFAIL(); - - if(ifail < 0){ - break; - } - System.out.printf("\t%.3e\t%.3e\n", x, y); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} - diff --git a/simple_examples/int32/S14ACJE.java b/simple_examples/int32/S14ACJE.java deleted file mode 100644 index e2fff05..0000000 --- a/simple_examples/int32/S14ACJE.java +++ /dev/null @@ -1,68 +0,0 @@ -import com.nag.routines.S.S14AC; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * S14ACJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S14ACJE{ - - /** - * S14ACJ example main program - */ - public static void main(String[] args){ - double f, x; - int ifail; - - System.out.println("S14ACJ Example Program Results"); - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - System.out.println(); - System.out.printf("\tX\tpsi(X)-log(X)\n"); - System.out.println(); - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //Loop until break... - while(true){ - line = reader.readLine(); - if(line == null){ - break; - } - String[] sVal = line.split("\\s+"); - - x = Double.parseDouble(sVal[0]); - - ifail = -1; - S14AC s14ac = new S14AC(x, ifail); - f = s14ac.eval(); - ifail = s14ac.getIFAIL(); - - if(ifail < 0){ - break; - } - - System.out.printf("\t%.4f\t%.4f\n", x, f); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} diff --git a/simple_examples/int32/S14AFJE.java b/simple_examples/int32/S14AFJE.java deleted file mode 100644 index 9005cc1..0000000 --- a/simple_examples/int32/S14AFJE.java +++ /dev/null @@ -1,80 +0,0 @@ -import com.nag.routines.S.S14AF; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * S14AFJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class S14AFJE{ - - /** - * S14AFJ Example main program - */ - public static void main(String[] args){ - NAGComplex y, z; - int ifail, k; - - //Tell the wrapper the type of complex being used before calling a routine - Routine.setComplex(new NAGComplex()); - - y = new NAGComplex(); - z = new NAGComplex(); - - System.out.println("S14AFJ Example Program Results"); - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); - - System.out.println(); - System.out.println("\tZ\t\tK\t(d^K/dz^K)psi(Z)"); - System.out.println(); - - //loop until break... - while(true){ - line = reader.readLine(); - - //end of file reached - if(line == null){ - break; - } - - String[] sVal = line.split("\\s+"); - z.setRe(Double.parseDouble(sVal[0])); - z.setIm(Double.parseDouble(sVal[1])); - k = Integer.parseInt(sVal[2]); - - ifail = -1; - S14AF s14af = new S14AF(z, k, ifail); - y = (NAGComplex) s14af.eval(); - ifail = s14af.getIFAIL(); - - //ifail < 0 => error - if(ifail < 0){ - break; - } - System.out.printf("\t(%.1f, %.1f)\t%d\t(%.4e, %.4e)\n", z.getRe(), z.getIm(), k, y.getRe(), y.getIm()); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} diff --git a/simple_examples/int32/S17DCJE.java b/simple_examples/int32/S17DCJE.java deleted file mode 100644 index ba01290..0000000 --- a/simple_examples/int32/S17DCJE.java +++ /dev/null @@ -1,69 +0,0 @@ -import com.nag.routines.S.S17DC; -import com.nag.types.NAGComplex; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -public class S17DCJE{ - private static int n = 2; - - public static void main(String[] args){ - double fnu; - int ifail, nz = 0; - String scal; - NAGComplex z; - NAGComplex[] cwrk, cy; - - z = new NAGComplex(); - //initiate complex arrays like this to save looping through and doing it manually by looping through - cwrk = NAGComplex.createArray(n); - cy = NAGComplex.createArray(n); - - System.out.println("S17DCF Example Program Results"); - - //Supply file path as argument - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - System.out.println(); - System.out.printf("Calling with N = %d\n", n); - System.out.println(); - System.out.printf("FNU\tZ\t\t\tSCAL\tCY[0]\t\t\tCY[1]\t\t\tNZ"); - System.out.println(); - - while(true){ - line = reader.readLine(); - if(line == null){ - break; - } - String[] sVal = line.split("\\s+"); - fnu = Double.parseDouble(sVal[0]); - z.setRe(Double.parseDouble(sVal[1])); - z.setIm(Double.parseDouble(sVal[2])); - scal = sVal[3].substring(1,2); - - ifail = 0; - S17DC s17dc = new S17DC(fnu, z, n, scal, cy, nz, cwrk, ifail); - s17dc.eval(); - - System.out.printf("%.4f\t(%.4f, %.4f)\t%s\t(%.4f, %.4f)\t(%.4f, %.4f)\t%d\n", fnu, z.getRe(), z.getIm(), scal, cy[0].getRe(), cy[0].getIm(), cy[1].getRe(), cy[1].getIm(), nz); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} - diff --git a/simple_examples/int32/S17DGJE.java b/simple_examples/int32/S17DGJE.java deleted file mode 100644 index b93c9e0..0000000 --- a/simple_examples/int32/S17DGJE.java +++ /dev/null @@ -1,61 +0,0 @@ -import com.nag.routines.S.S17DG; -import com.nag.types.NAGComplex; -import java.io.*; -import java.util.regex.Matcher; -import java.util.regex.Pattern; - -/** - * S17DG example program text. - */ -public class S17DGJE { - - public static void main(String[] args) throws Exception { - String deriv,scal; - int ifail = 1; - NAGComplex z,ai; - int nz = -1; - z = new NAGComplex(); - ai = new NAGComplex(); - ai.setRe(Double.NaN); - ai.setIm(Double.NaN); - - System.out.println(" S17DGJ Example Program Results"); - BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); - - dataIn.readLine(); - System.out.println(); - System.out.println(" DERIV Z SCAL AI NZ"); - System.out.println(); - String line = dataIn.readLine(); - Pattern linePatt = Pattern.compile("\\s*'([A-Z]{1})'\\s+\\(\\s*([0-9\\.\\-]+)\\s*," - + "\\s*([0-9\\.\\-]+)\\s*\\)\\s+'([A-Z]{1})'\\s*"); - Matcher m; - S17DG s17dg = new S17DG(); - while (line != null) { - m = linePatt.matcher(line); - if (m.matches()) { - deriv = m.group(1); - z.setRe(Double.parseDouble(m.group(2))); - z.setIm(Double.parseDouble(m.group(3))); - scal = m.group(4); - ifail = 1;// SOFT AND SILENT FAILURE - s17dg.eval(deriv,z,scal,ai,nz,ifail); - if (s17dg.getIFAIL() == 0) { - System.out.printf(" %s (%8.4f,%8.4f) %s (%8.4f,%8.4f) %4d\n", - s17dg.getDERIV(), s17dg.getZ().getRe(), s17dg.getZ().getIm(), s17dg.getSCAL(), - s17dg.getAI().getRe(), s17dg.getAI().getIm(), s17dg.getNZ()); - } - else { - System.err.println("Something went wrong - S17DG returned IFAIL = "+s17dg.getIFAIL()); - System.exit(-1); - } - } - else { - System.out.println("Can't match:\n"+line); - } - line = dataIn.readLine(); - } - - } - -} diff --git a/simple_examples/int32/S30AAJE.java b/simple_examples/int32/S30AAJE.java deleted file mode 100644 index 7e01ffe..0000000 --- a/simple_examples/int32/S30AAJE.java +++ /dev/null @@ -1,109 +0,0 @@ -import com.nag.routines.S.S30AA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * S30AAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S30AAJE{ - - /** - * S30AAJ main program - */ - public static void main(String[] args){ - double q = 0, r = 0, s = 0, sigma = 0; - int ifail, ldp, m = 0, n = 0; - String calput = ""; //placeholders - double[] p, t, x; - - //placeholders - t = new double[0]; - x = new double[0]; - - System.out.println("S30AAJ Example Program Results"); - - //Supply file path as arugment - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - calput = sVal[0].substring(1,2); - - line = reader.readLine(); - sVal = line.split("\\s+"); - s = Double.parseDouble(sVal[0]); - sigma = Double.parseDouble(sVal[1]); - r = Double.parseDouble(sVal[2]); - q = Double.parseDouble(sVal[3]); - - line = reader.readLine(); - sVal = line.split("\\s+"); - m = Integer.parseInt(sVal[0]); - n = Integer.parseInt(sVal[1]); - - t = new double[n]; - x = new double[m]; - - for(int i = 0; i < m; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - x[i] = Double.parseDouble(sVal[0]); - } - for(int i = 0; i < n; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - t[i] = Double.parseDouble(sVal[0]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ldp = m; - p = new double[ldp * n]; - - ifail = 0; - S30AA s30aa = new S30AA(calput, m, n, x, s, t, sigma, r, q, p, ldp, ifail); - s30aa.eval(); - - System.out.println(); - System.out.println("Black-Scholes-Merton formula"); - - if(calput.toLowerCase().equals("c")){ - System.out.println("European Call : "); - } - else if(calput.toLowerCase().equals("p")){ - System.out.println("European Put : "); - } - - System.out.printf(" Spot =\t%.4f\n", s); - System.out.printf(" Volatility =\t%.4f\n", sigma); - System.out.printf(" Rate =\t%.4f\n", r); - System.out.printf(" Dividend =\t%.4f\n", q); - - System.out.println(); - System.out.printf(" Strike\tExpiry\tOption Price\n"); - for(int i = 0; i < m; i++){ - for(int j = 0; j < n; j++){ - System.out.printf(" %.4f\t%.4f\t%.4f\n", x[i], t[j], p[i + (j * 3)]); - } - } - } -} - diff --git a/simple_examples/int32/S30ACJE.java b/simple_examples/int32/S30ACJE.java deleted file mode 100644 index 8d994dc..0000000 --- a/simple_examples/int32/S30ACJE.java +++ /dev/null @@ -1,129 +0,0 @@ -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.util.Arrays; - -import com.nag.routines.S.S30AC; - -/** - * S30AC example program text. - */ -public class S30ACJE { - - public static void main(String[] args) { - - int i, ifail, mode = 0, n = 0; - String calput; - - double[] k = null, p = null, r = null, s0 = null, sigma = null, t = null; - int[] ivalid = null; - - // Strings must be length expected by Fortran - calput = getBlankString(1); - - /* Header */ - System.out.println(" S30ACJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); // skip header - - System.out.println(); - System.out.println(" SIGMA IVALID"); - System.out.println(); - - line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - calput = sVal[0].replaceAll("\'", ""); - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - mode = Integer.parseInt(sVal[1]); - - line = reader.readLine(); // skip empty line - - p = new double[n]; - k = new double[n]; - s0 = new double[n]; - t = new double[n]; - r = new double[n]; - sigma = new double[n]; - ivalid = new int[n]; - - // Read p, k, s0, t and r from data file - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - p[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - k[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - s0[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - t[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - r[i] = Double.parseDouble(sVal[i]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Find the implied volatilities, sigma - ifail = 0; - S30AC s30ac = new S30AC(); - s30ac.eval(calput, n, p, k, s0, t, r, sigma, mode, ivalid, ifail); - - // Print solution - for (i = 0; i < n; i++) { - System.out.printf(" %12.3E%5d\n", sigma[i], ivalid[i]); - } - - } - - /** - * Returns a new String, filled with spaces to the specified length. - * - * @param len the required length of the String - * @return a blank String of the specified length - */ - public static String getBlankString(int len) { - - if (len > 0) { - char[] arr = new char[len]; - Arrays.fill(arr, ' '); - return new String(arr); - } - - return ""; - - } -} diff --git a/simple_examples/int32/X03AAJE.java b/simple_examples/int32/X03AAJE.java deleted file mode 100644 index b03f1ab..0000000 --- a/simple_examples/int32/X03AAJE.java +++ /dev/null @@ -1,87 +0,0 @@ -import com.nag.routines.X03.X03AA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * X03AAJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class X03AAJE{ - - /** - * X03AAJ example main program. - */ - public static void main(String[] args){ - int n = 3; - double c1 = 0, c2 = 0, d1 = 0, d2 = 0; //placeholder - int ifail, isizea, isizeb, istepa, istepb; - boolean sw; - double[] a, b; - - a = new double[n * n]; - b = new double[n]; - - System.out.println("X03AAF Example Program Results"); - System.out.println(); - - if(args.length != 1){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //stored column wise - //a = (-2, -3, 7) - // ( 2, -5, 3) - // (-9, 1, 0) - for(int i = 0; i < n; i++){ - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - for(int j = 0; j < n; j++){ - a[i + (j * n)] = Double.parseDouble(sVal[j + 1]); - } - } - - line = reader.readLine(); - for(int i = 0; i < n; i++){ - String[] sVal = line.split("\\s+"); - b[i] = Double.parseDouble(sVal[i + 1]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - - c1 = 1; - c2 = 0; - isizea = n; - isizeb = n; - istepa = 1; - istepb = 1; - sw = true; - - ifail = 0; - X03AA x03aa = new X03AA(a , isizea, b, isizeb, n, istepa, istepb, c1, c2, d1, d2, sw, ifail); - x03aa.eval(); - - //update - c1 = x03aa.getC1(); - c2 = x03aa.getC2(); - d1 = x03aa.getD1(); - d2 = x03aa.getD2(); - - System.out.printf("D1 = %.1f D2 = %.1f\n", d1, d2); - } -} diff --git a/simple_examples/int32/X04CBJE.java b/simple_examples/int32/X04CBJE.java deleted file mode 100644 index fa77c3a..0000000 --- a/simple_examples/int32/X04CBJE.java +++ /dev/null @@ -1,53 +0,0 @@ -import com.nag.routines.X04.X04CB; - -/** - * X04CBJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class X04CBJE{ - - /** - * X04CBJ example main program - */ - public static void main(String[] args){ - int nmax = 5, lda = nmax, ifail, indent, ncols; - double[] a; - - a = new double[lda * nmax]; - - String[] clabs = {"Un ", "Deux ", "Trois ", "Quatre ", "Cinq "}; - String[] rlabs = {"Uno ", "Due ", "Tre ", "Quattro", "Cinque "}; - - System.out.println("X04CBJ Example Program Results"); - System.out.println(); - - //generate an array of data - for(int i = 0; i < nmax; i++){ - for(int j = 0; j < lda; j++){ - a[(i * lda) + j] = (double) ((10 * (j + 1)) + i + 1); - } - } - - ncols = 80; - indent = 0; - - //Print 3 by nmax rectangular matrix with default format and integer row and column labels - ifail = 0; - X04CB x04cb = new X04CB("General", " ", 3, nmax, a, lda, " ", "Example 1", "Integer", rlabs, "Integer", - clabs, ncols, indent, ifail); - x04cb.eval(); - System.out.println(); - - //Print nmax by namx upper triangular matrix with user-supplied format and row and column labels - ifail = 0; - x04cb.eval("Upper", "Non-unit", nmax, nmax, a, lda, "F8.2", "Example 2:", "Character", rlabs, "Character", - clabs, ncols, indent, ifail); - System.out.println(); - - //Print 3 by nmax lower triangular matrix in MATLAB format - //Row and column labelling is ignored - ifail = 0; - x04cb.eval("Lower", "Non-unit", 3, nmax, a, lda, "MATLABF8.2", "A", " ", rlabs, " ", clabs, ncols, indent, ifail); - } -} diff --git a/simple_examples/int32/X05ABJE.java b/simple_examples/int32/X05ABJE.java deleted file mode 100644 index acb3804..0000000 --- a/simple_examples/int32/X05ABJE.java +++ /dev/null @@ -1,25 +0,0 @@ -import com.nag.routines.X05.X05AB; - -/** - * X05AB example program text. - */ -public class X05ABJE { - - public static void main(String[] args) { - - int[] itime = new int[7]; - - itime[0] = 1789; - itime[1] = 7; - itime[2] = 14; - itime[3] = 13; - itime[4] = 11; - itime[5] = 48; - itime[6] = 320; - - System.out.println(" X05ABJ Example Program Results"); - System.out.println((new X05AB(itime)).eval()); - - } - -} diff --git a/simple_examples/int64/A00AAJE.java b/simple_examples/int64/A00AAJE.java deleted file mode 100644 index 490c163..0000000 --- a/simple_examples/int64/A00AAJE.java +++ /dev/null @@ -1,14 +0,0 @@ -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.A00.A00AA; -import com.nag.routines.Routine; - -public class A00AAJE { - - public static void main (String[] args) throws NAGBadIntegerException { - Routine.init(); - A00AA a00aa = new A00AA(); - System.out.println(" A00AAJ Example Program Results\n"); - a00aa.eval(); - } - -} diff --git a/simple_examples/int64/A00ADJE.java b/simple_examples/int64/A00ADJE.java deleted file mode 100644 index 8250321..0000000 --- a/simple_examples/int64/A00ADJE.java +++ /dev/null @@ -1,113 +0,0 @@ -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.A00.A00AD; -import com.nag.routines.Routine; -import java.util.Arrays; - -public class A00ADJE { - - /* Parameters */ - public static final int MSGLEN = 15; - - /** A00ADJ Example Program */ - public static void main (String[] args) throws NAGBadIntegerException { - /* Local Scalars */ - int i; - long mkmaj, mkmin; - boolean licval; - String fcomp = getBlankString(80), hdware = getBlankString(80), - impl = getBlankString(80), opsys = getBlankString(80), - pcode = getBlankString(80), prec = getBlankString(80), - vend = getBlankString(80); - /* Local Arrays */ - int[] itime = new int[7]; - String[] msg = new String[MSGLEN]; - - // Instantiate arguments - mkmaj = 0; - mkmin = 0; - licval = false; - // Strings must be length expected by Fortran - fcomp = getBlankString(80); - hdware = getBlankString(80); - impl = getBlankString(80); - opsys = getBlankString(80); - pcode = getBlankString(80); - prec = getBlankString(80); - vend = getBlankString(80); - for (i = 0; i < MSGLEN; i++) msg[i] = getBlankString(102); - - Routine.init(); - System.out.println(" A00ADJ Example Program Results\n"); - - A00AD a00ad = new A00AD(); - a00ad.eval(impl, prec, pcode, mkmaj, mkmin, hdware, opsys, fcomp, vend, licval); - impl = a00ad.getIMPL(); - prec = a00ad.getPREC(); - pcode = a00ad.getPCODE(); - mkmaj = a00ad.getMKMAJ(); - mkmin = a00ad.getMKMIN(); - hdware = a00ad.getHDWARE(); - opsys = a00ad.getOPSYS(); - fcomp = a00ad.getFCOMP(); - vend = a00ad.getVEND(); - licval = a00ad.getLICVAL(); - - /* Print implementation details */ - - System.out.println("*** Start of NAG Library implementation details ***"); - System.out.println(); - System.out.println("Implementation title: " + impl.trim()); - System.out.println(" Precision: " + prec.trim()); - System.out.println(" Product code: " + pcode.trim()); - - if (mkmin < 10) { - System.out.printf(" Mark: %2d.%1d\n", mkmaj, mkmin); - } - else { - System.out.printf(" Mark: %2d.%2d\n", mkmaj, mkmin); - } - - if (vend.trim().equals("(self-contained)")) { - System.out.println(" Vendor Library: None"); - } - else { - System.out.println(" Vendor Library: " + vend.trim()); - } - - System.out.println("Applicable to:"); - System.out.println(" hardware: " + hdware.trim()); - System.out.println(" operating system: " + opsys.trim()); - System.out.println(" Fortran compiler: " + fcomp.trim()); - System.out.println("and compatible systems."); - - if (!licval) { - System.out.println(" Licence query: Unsuccessful"); - } - else { - System.out.println(" Licence query: Successful"); - } - - System.out.println(); - System.out.println("*** End of NAG Library implementation details ***"); - - } - - /** - * Returns a new String, filled with spaces to the specified length - * - * @param len the required length of the String - * @returns a String of spaces of the specified length - */ - public static String getBlankString(int len) { - - if (len > 0) { - char[] arr = new char[len]; - Arrays.fill(arr, ' '); - return new String(arr); - } - - return ""; - - } - -} diff --git a/simple_examples/int64/C05AYJE.java b/simple_examples/int64/C05AYJE.java deleted file mode 100644 index a3bd5f1..0000000 --- a/simple_examples/int64/C05AYJE.java +++ /dev/null @@ -1,45 +0,0 @@ -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.C05.C05AY; -import com.nag.routines.Routine; - - -public class C05AYJE { - - public static void main(String[] args) throws NAGBadIntegerException { - - C05AY c05ay = new C05AY(); - OBJFUN f = new OBJFUN(); - double a = 0.0, b = 1.0, eps = 1.0e-5, eta = 0.0, x = 0.0; - long ifail = 0; - long[] iuser = new long[1]; - double[] ruser = new double[1]; - - System.out.println("C05AYJ Example Program Results"); - System.out.println(); - - Routine.init(); - c05ay.eval(a, b, eps, eta, f, x, iuser, ruser, ifail); - x = c05ay.getX(); - - switch ((int)ifail) { - case 0: - System.out.printf("Zero at x = %12.5f\n", x); - break; - case 2: case 3: - System.out.printf("Final point = %12.5f\n", x); - break; - default: - System.out.println("Unexpected ifail = " + ifail); - } - - } - - private static class OBJFUN extends C05AY.Abstract_C05AY_F { - - public double eval() { - return Math.exp(-X) - X; - } - - } - -} diff --git a/simple_examples/int64/C05AZJE.java b/simple_examples/int64/C05AZJE.java deleted file mode 100644 index bec1b03..0000000 --- a/simple_examples/int64/C05AZJE.java +++ /dev/null @@ -1,65 +0,0 @@ -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.C05.C05AZ; -import com.nag.routines.Routine; -import java.util.logging.Level; -import java.util.logging.Logger; - -public class C05AZJE { - - public static void main (String[] args)throws NAGBadIntegerException{ - double tolx = 0.00001, x = 0.0, y = 1.0, fx; - long ir = 0, ind = 1, ifail = -1; - double[] c = new double[17]; - boolean keepOn = true; - - Routine.init(); - - C05AZ c05az = new C05AZ(); - fx = fun(x); - int ite = 0; - - System.out.println(" C05AZJ Example Program Results\n"); - System.out.println(" Iterations\n"); - while (keepOn) { - ++ite; - - c05az.eval(x,y,fx,tolx,ir,c,ind,ifail); - - x = c05az.getX(); - y = c05az.getY(); - tolx = c05az.getTOLX(); - ir = c05az.getIR(); - ind = c05az.getIND(); - ifail = c05az.getIFAIL(); - - if(ind == 0){ - keepOn = false; - } - else{ - fx = fun(x); - System.out.printf(" X = %7.5f FX = %11.4E IND = %1d\n", x, fx, ind); - } - } - - - - switch ((int)ifail) { - case 0: - System.out.println("\n Solution\n"); - System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); - break; - case 4: - case 5: - System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); - break; - default: - System.out.printf("Unexpected error ifail=%d\n",ifail); - } - } - - private static double fun(double x) { - double res = (Math.expm1(-x) + 1) - x; - return res; - } - -} diff --git a/simple_examples/int64/C05MBJE.java b/simple_examples/int64/C05MBJE.java deleted file mode 100644 index 08dd454..0000000 --- a/simple_examples/int64/C05MBJE.java +++ /dev/null @@ -1,104 +0,0 @@ -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.Routine; -import com.nag.routines.C05.C05MB; -import com.nag.routines.F06.DNRM2; -import com.nag.routines.X02.X02AJ; - -/** - * C05MBJ Example Program Text - * @author joed - * @since 27.0 - */ - /* ** There have been at least 200*(n+1) calls to fcn. - ** Consider restarting the calculation from the point held in x. - ** ABNORMAL EXIT from NAG Library routine - ** NAG soft failure - control returned -*/ -public class C05MBJE { - - private static final int n = 4; - - private static class FCN extends C05MB.Abstract_C05MB_FCN { - - public void eval() { - - FVEC[0] = Math.cos(X[2]) - X[0]; - FVEC[1] = Math.sqrt(1.0 - Math.pow(X[3],2)) - X[1]; - FVEC[2] = Math.sin(X[0]) - X[2]; - FVEC[3] = Math.pow(X[1], 2) - X[3]; - - // Set iflag negative to terminate execution for any reason - IFLAG = 0; - - return; - - } - - } - - /** - * C05MBJ Example Main Program - */ - public static void main(String[] args) throws NAGBadIntegerException { - - C05MB c05mb = new C05MB(); - DNRM2 dnrm2 = new DNRM2(); - X02AJ x02aj = new X02AJ(); - FCN fcn = new FCN(); - long cpuser; - double atol, cndtol, fnorm, machpr, rtol; - long astart, ifail, m; - int i; - double[] fvec, x; - double[] ruser = new double[1]; - long[] iuser = new long[1]; - - System.out.println("C05MBJ Example Program Results\n"); - - // Initialise NAG for Java - Routine.init(); - - // Get machine precision from X02AJ - machpr = (new X02AJ()).eval(); - - fvec = new double[n]; - x = new double[n]; - - // The following starting values provide a rough solution - x = new double[]{2.0, 0.5, 2.0, 0.5}; - - m = 2; - atol = Math.sqrt(machpr); - rtol = Math.sqrt(machpr); - cndtol = 0.0; - astart = 0; - cpuser = 0; - - ifail = -1; - c05mb.eval(fcn, n, x, fvec, atol, rtol, m, cndtol, astart, iuser, ruser, - cpuser, ifail); - ifail = c05mb.getIFAIL(); - - if (ifail==0 || ifail==8 || ifail==9) { - if (ifail==0) { - // The NAG name equivalent of dnrm2 is f06ej - fnorm = dnrm2.eval(n, fvec, 1); - System.out.println(); - System.out.printf("Final 2-norm of the residuals = %12.4e\n", fnorm); - System.out.println(); - System.out.println("Final approximate solution"); - } - else { - System.out.println(); - System.out.println("Approximate solution"); - } - System.out.println(); - for (i = 1; i <= n; i++) { - System.out.printf("%12.4f", x[i-1]); - } - System.out.printf("\n"); - } - - } - -} diff --git a/simple_examples/int64/C05QBJE.java b/simple_examples/int64/C05QBJE.java deleted file mode 100644 index d7a6435..0000000 --- a/simple_examples/int64/C05QBJE.java +++ /dev/null @@ -1,178 +0,0 @@ -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.C05.C05QB; -import com.nag.routines.F06.DNRM2; -import com.nag.routines.Routine; -import com.nag.routines.X02.X02AJ; - -/** - * - * @author ludovic - */ -public class C05QBJE { - - /** - * @param args the command line arguments - */ - public static void main(String[] args) throws NAGBadIntegerException { - try { - Routine.init(); - - C05QB c05qb = new C05QB(); - - System.out.println(" C05QBJ Example Program Results"); - - int n = 9, ifail = -1; - - double xtol, fnorm; - - long[] IUSER = new long[1]; - double[] fvec = new double[n]; - double[] x = new double[n]; - double[] RUSER = new double[1]; - - - FCN fcn = new FCN(); - - for (int i = 0; i < n; ++i) { - x[i] = -1.0; - } - - xtol = Math.sqrt((new X02AJ()).eval()); - - c05qb.eval(fcn, n, x, fvec, xtol, IUSER, RUSER, ifail); - - ifail = (int)c05qb.getIFAIL(); - - switch (ifail) { - case (0): - fnorm = (new DNRM2(n, fvec, 1)).eval(); - System.out.println(); - System.out.printf(" Final 2-norm of the residuals = %11.4E\n", fnorm); - System.out.println(); - System.out.println(" Final approximate solution"); - int count = 0; - for (int i = 0; i < n; ++i) { - System.out.printf(" %12.4f", x[i]); - ++count; - if(count == 3){ - System.out.println(); - count = 0; - } - } - break; - case (2): - case (3): - case (4): - System.out.println("Approximate solution"); - count = 0; - for (int i = 0; i < n; ++i) { - System.out.printf(" %12.4f", x[i]); - ++count; - if(count == 3){ - System.out.println(); - count = 0; - } - } - - break; - } - - } catch (NAGBadIntegerException ex) { - System.err.println("Something went wrong!\n" + ex.getMessage()); - } - - - } - - public static class FCN implements C05QB.C05QB_FCN { - - private long N, IFLAG; - private double[] X, FVEC, RUSER; - private long[] IUSER; - - //@Override - public void setN(long N) { - this.N = N; - } - - //@Override - public long getN() { - return N; - } - - //@Override - public void setX(double[] X) { - this.X = X; - } - - //@Override - public double[] getX() { - return X; - } - - //@Override - public void setFVEC(double[] FVEC) { - this.FVEC = FVEC; - } - - //@Override - public double[] getFVEC() { - return FVEC; - } - - //@Override - public void setIUSER(long[] IUSER) { - this.IUSER = IUSER; - } - - //@Override - public long[] getIUSER() { - return IUSER; - } - - //@Override - public void setRUSER(double[] RUSER) { - this.RUSER = RUSER; - } - - //@Override - public double[] getRUSER() { - return RUSER; - } - - //@Override - public void setIFLAG(long IFLAG) { - this.IFLAG = IFLAG; - } - - //@Override - public long getIFLAG() { - return IFLAG; - } - - //@Override - public void eval(long N, double[] X, double[] FVEC, long[] IUSER, double[] RUSER, long IFLAG) { - /* - * fvec(1:n) = (3.0_nag_wp-2.0_nag_wp*x(1:n))*x(1:n) + 1.0_nag_wp - * fvec(2:n) = fvec(2:n) - x(1:(n-1)) - * fvec(1:(n-1)) = fvec(1:(n-1)) - 2.0_nag_wp*x(2:n) - */ - for (int i = 0; i < N; ++i) { - FVEC[i] = (3.0 - 2.0 * X[i]) * X[i] + 1.0; - /*if (i >= 1) { - FVEC[i] = FVEC[i] - X[i - 1]; - } - if (i < N - 1) { - FVEC[i] = FVEC[i] - 2.0 * X[i + 1]; - }*/ - } - for(int i=1;i Math.max(epsabs,epsrel*Math.abs(result))) { - System.out.println("Warning - requested accuracy may not have been achieved"); - } - - } - - - public static class D01BDJE_FUN implements D01BD.D01BD_F { - - private double x; - - public double eval(double x) { - return (x * x * Math.sin(10.0 * Math.PI * x)); - } - - public double getX() { - return x; - } - - public void setX(double d) { - x = d; - } - - - } - -} diff --git a/simple_examples/int64/D02NEJE.java b/simple_examples/int64/D02NEJE.java deleted file mode 100644 index b32ae64..0000000 --- a/simple_examples/int64/D02NEJE.java +++ /dev/null @@ -1,393 +0,0 @@ -import java.util.Arrays; - -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.Routine; -import com.nag.routines.D02.D02MC; -import com.nag.routines.D02.D02MW; -import com.nag.routines.D02.D02NE; -import com.nag.routines.D02.D02NEZ; -import com.nag.routines.D02.D02NP; - - -/** - * @author joed - */ -public class D02NEJE { - - public static final double ALPHA = 0.04; - public static final double BETA = 1.0E4; - public static final double GAMMA = 3.0E7; - public static final int ML = 1; - public static final int MU = 2; - public static final int NEQ1 = 3; - public static final int NEQ2 = 1; - - public static JAC1 jac1 = new JAC1(); - public static JAC2 jac2 = new JAC2(); - public static RES1 res1 = new RES1(); - public static RES2 res2 = new RES2(); - - public static void main(String[] args) throws NAGBadIntegerException { - - // Initialise wrappers - Routine.init(); - - System.out.println(" D02NEJ Example Program Results"); - - ex1(); - ex2(); - - } - - private static void ex1() { - D02MC d02mc = new D02MC(); - D02MW d02mw = new D02MW(); - D02NE d02ne = new D02NE(); - D02NP d02np = new D02NP(); - double h0, hmax, t, tout; - long ifail, itask, maxord, ijac, itol, licom, neq, lcom; - String jceval; // length 8 - double[] atol, com, rtol, y, ydot, ruser; - long[] icom, iuser; - - ruser = new double[1]; - iuser = new long[3]; - - System.out.println(); - System.out.println(" D02NEF Example 1"); - System.out.println(); - - maxord = 5; - - neq = NEQ1; - lcom = 40 + (maxord + 4) * neq + (2 * ML + MU + 1) * neq - + 2 * (neq / (ML + MU + 1) + 1); - licom = 50 + neq; - - atol = new double[(int)neq]; - com = new double[(int)lcom]; - rtol = new double[(int)neq]; - y = new double[(int)neq]; - ydot = new double[(int)neq]; - icom = new long[(int)licom]; - - ijac = 1; - itol = 1; - Arrays.fill(rtol, 1.0E-3); - Arrays.fill(atol, 1.0E-6); - Arrays.fill(ydot, 0.0); - - // String length = 8 - jceval = (ijac == 1) ? "Analytic" : "Numeric "; - - // Set initial values - y[0] = 1.0; - y[1] = 0.0; - y[2] = 0.0; - - // Initialize the problem, specifying that the Jacobian is to be - // evaluated analytically using the provided routine jac. - hmax = 0.0; - h0 = 0.0; - t = 0.0; - tout = 0.02; - ifail = 0; - d02mw.eval( - neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail - ); - ifail = d02mw.getIFAIL(); - - // Specify that the Jacobian is banded. - ifail = 0; - d02np.eval(neq, ML, MU, icom, licom, ifail); - ifail = d02np.getIFAIL(); - - // Use the iuser array to pass the band dimensions through to jac. - // An alternative would be to hard code values for ml and mu in jac. - iuser[0] = ML; - iuser[1] = MU; - iuser[2] = ijac; - - System.out.printf(" t "); - for (int i = 1; i <= neq; i++) { - System.out.printf(" Y(%1d) ", i); - } - System.out.println(); - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - itask = 0; - - // Obtain the solution at 5 equally spaced values of T. - for (int j = 0; j < 5; j++) { - ifail = -1; - d02ne.eval( - neq, t, tout, y, ydot, rtol, atol, itask, res1, jac1, icom, - com, lcom, iuser, ruser, ifail - ); - itask = d02ne.getITASK(); - ifail = d02ne.getIFAIL(); - t = d02ne.getT(); - - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - if (ifail != 0) { - System.out.printf( - " ** D02NEF returned with IFAIL = %5d\n", ifail - ); - break; - } - - tout += 0.02; - d02mc.eval(icom); - - } - - System.out.println(); - System.out.printf( - " The integrator completed task, ITASK = %4d\n", itask - ); - - } - - private static void ex2() { - D02MC d02mc = new D02MC(); - D02MW d02mw = new D02MW(); - D02NE d02ne = new D02NE(); - double h0, hmax, t, tout; - long ifail, ijac, itask, itol, lcom, licom, maxord, neq; - String jceval; // length 8 - double[] atol, com, rtol, y, ydot, ruser; - long[] icom, iuser; - - ruser = new double[1]; - iuser = new long[1]; - - System.out.println(); - System.out.println(" D02NEF Example 2"); - System.out.println(); - - maxord = 5; - neq = NEQ2; - lcom = 40 + (maxord + 4) * neq + neq * neq; - licom = 50 + neq; - - atol = new double[(int)neq]; - com = new double[(int)lcom]; - rtol = new double[(int)neq]; - y = new double[(int)neq]; - ydot = new double[(int)neq]; - icom = new long[(int)licom]; - - ijac = 1; - itol = 1; - rtol[0] = 0.0; - atol[0] = 1.0E-8; - ydot[0] = 0.0; - - // String length = 8 - jceval = (ijac == 1) ? "Analytic" : "Numeric "; - - // Initialize the problem, specifying that the Jacobian is to be - // evaluated analytically using the provided routine jac. - y[0] = 2.0; - hmax = 0.0; - h0 = 0.0; - t = 0.0; - tout = 0.2; - - ifail = 0; - d02mw.eval( - neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail - ); - ifail = d02mw.getIFAIL(); - - // Use the iuser array to pass whether numerical or analytic Jacobian - // is to be used. - iuser[0] = ijac; - - System.out.printf(" t "); - for (int i = 1; i <= neq; i++) { - System.out.printf(" y(%1d) ", i); - } - System.out.println(); - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - itask = 0; - - for (int j = 0; j < 5; j++) { - ifail = -1; - d02ne.eval( - neq, t, tout, y, ydot, rtol, atol, itask, res2, jac2, icom, - com, lcom, iuser, ruser, ifail - ); - itask = d02ne.getITASK(); - ifail = d02ne.getIFAIL(); - t = d02ne.getT(); - - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - if (ifail != 0) { - System.out.printf( - " ** D02NEF returned with IFAIL = %5d\n", ifail - ); - break; - } - - tout += 0.2; - d02mc.eval(icom); - - } - - System.out.println(); - System.out.printf( - " The integrator completed task, ITASK = %4d\n", itask - ); - - } - - /** - * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based - * Java index. - * - * Fortran array definition: - * a(dimX, *) - * - * Conversion: - * a(x, y) --> A[result] - */ - private static long getIdx(long x, long y, long dimX) { - return ((y-1) * dimX) + (x-1); - } - - public static class RES1 extends D02NE.Abstract_D02NE_RES { - - public void eval() { - - this.R[0] = -(ALPHA * this.Y[0]) + (BETA * this.Y[1] * this.Y[2]) - - this.YDOT[0]; - this.R[1] = (ALPHA * this.Y[0]) - (BETA * this.Y[1] * this.Y[2]) - - (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[1]; - this.R[2] = (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[2]; - - } - - } - - public static class JAC1 extends D02NE.Abstract_D02NE_JAC { - - private double[] myjac1( - long neq, long ml, long mu, double t, double[] y, double[] ydot, - double[] pd, double cj - ) { - - long md, ms, pd_dim1; - - pd_dim1 = (2 * ml) + mu + 1; - - // Main diagonal pdfull(i,i), i=1, neq - md = mu + ml + 1; - pd[(int)getIdx(md, 1, pd_dim1)] = -ALPHA - cj; - pd[(int)getIdx(md, 2, pd_dim1)] = (-BETA * y[2]) - (2.0 * GAMMA * y[1]) - - cj; - pd[(int)getIdx(md, 3, pd_dim1)] = -cj; - - // 1 subdiagonal pdfull(i-1,i), i=2, neq - ms = md + 1; - pd[(int)getIdx(ms, 1, pd_dim1)] = ALPHA; - pd[(int)getIdx(ms, 2, pd_dim1)] = 2.0 * GAMMA * y[1]; - - // First superdiagonal pdfull(i-1,i), i=2, neq - ms = md - 1; - pd[(int)getIdx(ms, 2, pd_dim1)] = BETA * y[2]; - pd[(int)getIdx(ms, 3, pd_dim1)] = -BETA * y[1]; - - // Second superdiagonal pdfull(i-2,i), i=3, neq - ms = md - 2; - pd[(int)getIdx(ms, 3, pd_dim1)] = BETA * y[1]; - - return pd; - - } - - public void eval() { - D02NEZ d02nez = new D02NEZ(); - long ijac, ml, mu; - - ml = this.IUSER[0]; - mu = this.IUSER[1]; - ijac = this.IUSER[2]; - - if (ijac == 1) { - myjac1( - this.NEQ, ml, mu, this.T, this.Y, this.YDOT, this.PD, - this.CJ - ); - } - else { - d02nez.eval( - this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, - this.IUSER, this.RUSER - ); - } - - } - - } - - public static class RES2 extends D02NE.Abstract_D02NE_RES { - - public void eval() { - this.R[0] = 4.0 - Math.pow(this.Y[0], 2.0) - + (this.T * 0.1E0 * Math.exp(this.Y[0])); - } - - } - - public static class JAC2 extends D02NE.Abstract_D02NE_JAC { - - private void myjac2( - long neq, double t, double[] y, double[] ydot, double[] pd, - double cj - ) { - - pd[0] = -(2.0 * y[0]) + (0.1E0 * t * y[0] * Math.exp(y[0])); - - } - - public void eval() { - D02NEZ d02nez = new D02NEZ(); - long ijac; - - ijac = this.IUSER[0]; - - if (ijac == 1) { - myjac2(this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ); - } - else { - d02nez.eval( - this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, - this.IUSER, this.RUSER - ); - } - - } - - } - -} diff --git a/simple_examples/int64/DTFSMJE.java b/simple_examples/int64/DTFSMJE.java deleted file mode 100644 index d1feabb..0000000 --- a/simple_examples/int64/DTFSMJE.java +++ /dev/null @@ -1,61 +0,0 @@ -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.F01.DTRTTF; -import com.nag.routines.F06.DTFSM; -import com.nag.routines.X04.X04CA; -import com.nag.routines.Routine; - -/** - * Adapted from f06wbfe.f90 - * - * @author joed - * - */ -public class DTFSMJE { - - public static void main(String[] args) throws NAGBadIntegerException { - - double alpha = 4.21; - long ifail = 0, info = 0, m = 6, n = 4; - String side = "L", trans = "N", transr = "N", uplo = "L"; - - // Init NAG Java - DTFSM dtfsm = new DTFSM(); - DTRTTF dtrttf = new DTRTTF(); - X04CA x04ca = new X04CA(); - Routine.init(); - - System.out.println(" DTFSMJ Example Program Results\n"); - - // Set lower triangle of matrix A - double[] a = new double[(int)(m*m)]; - for (int i=0; i=i) ? j+1 : 0; - } - } - - // Set matrix B - double[] b = new double[] { - 3.22, 1.64, 1.87, 5.20, 1.83, -1.10, - 1.37, 1.80, 2.87, -2.99, -2.71, -0.63, - 2.31, 0.38, 2.02, -0.91, -2.81, -0.50, - 0.29, -1.52, -0.80, -3.87, -1.13, 0.81 - }; - - // Convert A to rectangular full packed storage in ar - double[] ar = new double[((int)(m*(m+1)))/2]; - info = 0; - dtrttf.eval(transr, uplo, m, a, m, ar, info); - info = dtrttf.getINFO(); - - // Perform the matrix-matrix operation - dtfsm.eval(transr, side, uplo, trans, "N", m, n, alpha, ar, b, m); - - // Print result - ifail = 0; - x04ca.eval("General", " ", m, n, b, m, "The Solution", ifail); - ifail = x04ca.getIFAIL(); - - } - -} diff --git a/simple_examples/int64/E01DAJE.java b/simple_examples/int64/E01DAJE.java deleted file mode 100644 index 89a89e4..0000000 --- a/simple_examples/int64/E01DAJE.java +++ /dev/null @@ -1,177 +0,0 @@ -/* - * E01DA Example Program - NAG Copyright 2016 - */ - import com.nag.exceptions.NAGBadIntegerException; - import com.nag.routines.E01.E01DA; - import com.nag.routines.E02.E02DF; - import com.nag.routines.Routine; - -public class E01DAJE { - - public static void main (String[] args)throws NAGBadIntegerException { - Routine.init(); - - int mx = 7, my = 6, ifail = -1; - double[] x = new double[mx]; - double[] y = new double[my]; - double[] f = new double[mx*my]; - double[] lamda = new double[mx+4]; - double[] mu = new double[my+4]; - double[] c = new double[mx*my]; - double[] wrk = new double[(mx+6)*(my+6)]; - - int nx = 6, ny = 6, px = 0, py = 0; - double xlo = 1.0, xhi = 2.0; - double ylo = 0.0, yhi = 1.0; - - E01DA e01da = new E01DA(); - - // Input X, Y and function values on X-Y grid - x[0] = 1.00; - x[1] = 1.10; - x[2] = 1.30; - x[3] = 1.50; - x[4] = 1.60; - x[5] = 1.80; - x[6] = 2.00; - - y[0] = 0.00; - y[1] = 0.10; - y[2] = 0.40; - y[3] = 0.70; - y[4] = 0.90; - y[5] = 1.00; - - // On entry: F[my*(q-1)+r-1] must contain f(q,r), for q=1,2,...,mx - // and r=1,2,...,my. - f[0] = 1.00; - f[1] = 1.10; - f[2] = 1.40; - f[3] = 1.70; - f[4] = 1.90; - f[5] = 2.00; - f[6] = 1.21; - f[7] = 1.31; - f[8] = 1.61; - f[9] = 1.91; - f[10] = 2.11; - f[11] = 2.21; - f[12] = 1.69; - f[13] = 1.79; - f[14] = 2.09; - f[15] = 2.39; - f[16] = 2.59; - f[17] = 2.69; - f[18] = 2.25; - f[19] = 2.35; - f[20] = 2.65; - f[21] = 2.95; - f[22] = 3.15; - f[23] = 3.25; - f[24] = 2.56; - f[25] = 2.66; - f[26] = 2.96; - f[27] = 3.26; - f[28] = 3.46; - f[29] = 3.56; - f[30] = 3.24; - f[31] = 3.34; - f[32] = 3.64; - f[33] = 3.94; - f[34] = 4.14; - f[35] = 4.24; - f[36] = 4.00; - f[37] = 4.10; - f[38] = 4.40; - f[39] = 4.70; - f[40] = 4.90; - f[41] = 5.00; - - System.out.printf(" E01DAJ Example Program Results\n\n"); - e01da.eval(mx, my, x, y, f, px, py, lamda, mu, c, wrk, ifail); - - ifail = (int)e01da.getIFAIL(); - switch (ifail) - { - case 0: - System.out.printf(" I Knot LAMDA(I) J Knot MU(j)\n"); - for (int i = 3; i <= Math.max(mx,my); ++i) - { - if (i <= mx) - System.out.printf("%4d %9.4f", i+1, lamda[i]); - else - System.out.printf(" "); - if (i <= my) - System.out.printf("%8d %9.4f\n", i+1, mu[i]); - else - System.out.printf("\n"); - } - System.out.printf("\n The B-Spline coefficients:\n"); - for (int i = 0; i < mx*my; ++i) - { - System.out.printf("%9.4f", c[i]); - if ((i+1)%8 == 0) - System.out.printf("\n"); - } - System.out.printf("\n"); - break; - default: - System.out.printf("\n Error detected by E01DA: %d\n", ifail); - } - - /* Evaluate the spline on a regular rectangular grid at nx*ny points - over the domain [xlo,xhi] x [ylo,yhi]. */ - px = (int)e01da.getPX(); - py = (int)e01da.getPY(); - int liwrk; - int lwrk = Math.min(4*nx+px,4*ny+py); - if (4*nx+px>4*ny+py) - liwrk = ny + py - 4; - else - liwrk = nx + px - 4; - double tx[] = new double[nx]; - double ty[] = new double[ny]; - double ff[] = new double[nx*ny]; - wrk = new double[lwrk]; - long iwrk[] = new long[liwrk]; - - /* Generate nx/ny equispaced x/y co-ordinates */ - double step = (xhi-xlo)/(nx-1); - tx[0] = xlo; - for (int i = 1; i 0) ? datafile.n : 1; - - // This particular example problem is of type QP2 with H stored explicitly, - // so we allocate CVEC(N) and H(LDH,N), and define LDH and LWORK as below - ldh = datafile.n; - - if (datafile.nclin > 0) { - lwork = 2 * datafile.n * datafile.n + 8 * datafile.n + 5 * datafile.nclin; - } - else { - lwork = datafile.n * datafile.n + 8 * datafile.n; - } - - istate = new long[(int)(datafile.n + datafile.nclin)]; - ax = new double[(int)Math.max(1, datafile.nclin)]; - iwork = new long[(int)liwork]; - // h, bl, bu, cvec, x, a: already read from data file - clamda = new double[(int)(datafile.n + datafile.nclin)]; - work = new double[(int)lwork]; - - // Init routine - E04WB e04wb = new E04WB(); - long lcwsav = 1, liwsav = 610, llwsav = 120, lrwsav = 475; - String[] cwsav = new String[(int)lcwsav]; - cwsav[0] = " "; - long[] iwsav = new long[(int)liwsav]; - boolean[] lwsav = new boolean[(int)llwsav]; - double[] rwsav = new double[(int)lrwsav]; - ifail = 0; - e04wb.eval("E04NFA", cwsav, lcwsav, lwsav, llwsav, iwsav, liwsav, rwsav, lrwsav, ifail); - - // Set print level to match E04NFF example output - E04NH e04nh = new E04NH(); - int inform = 0; - e04nh.eval("Print Level = 10", lwsav, iwsav, rwsav, inform); - - // Solve the problem - E04NF e04nf = new E04NF(); - double[] ruser = new double[1]; - long[] iuser = new long[1]; - iter = 0; - obj = Double.NaN; - ifail = 0; - e04nf.eval(datafile.n, datafile.nclin, datafile.a, datafile.lda, datafile.bl, - datafile.bu, datafile.cvec, datafile.h, datafile.ldh, new QPHESS(), istate, - datafile.x, iter, obj, ax, clamda, iwork, liwork, work, lwork, - iuser, ruser, lwsav, iwsav, rwsav, ifail); - - ifail = e04nf.getIFAIL(); - - } catch (Exception ex) { - Logger.getLogger(E04NFJE.class.getName()).log(Level.SEVERE, null, ex); - } - - } - - /** Using E54NFU as a default */ - public static class QPHESS extends E54NFU implements E04NF.E04NF_QPHESS { - - public void eval() { - - super.eval(); - - } - - } - - public static class DataFile { - - public String filename; - public long n, nclin, lda, sda, ldh; - public double[] cvec, a, bl, bu, x, h; - - public DataFile(String filename) { - this.filename = filename; - } - - public void read() throws FileNotFoundException, IOException { - BufferedReader dataIn = new BufferedReader(new FileReader(filename)); - String line = dataIn.readLine(); // skipping header - line = dataIn.readLine().trim(); - String[] lines = line.split(":");//removing comments - String[] dataLine = lines[0].split("\\s+"); - if (dataLine.length != 2) { - System.err.println("Something went wrong when reading the data file - can't read n and nclin!"); - System.exit(1); - } - n = Integer.parseInt(dataLine[0]); - nclin = Integer.parseInt(dataLine[1]); - - lda = Math.max(1, nclin); - - if (nclin > 0) { - sda = n; - } else { - sda = 1; - - } - ldh = n; - - cvec = new double[(int)n]; - a = new double[(int)(lda * sda)]; - bl = new double[(int)(n + nclin)]; - bu = new double[(int)(n + nclin)]; - x = new double[(int)n]; - h = new double[(int)(ldh * n)]; - - //reading cvec - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n) { - System.err.println("Something went wrong when reading the data file - not enought or too many data for cvec"); - System.exit(1); - } - - for (int i = 0; i < n; ++i) { - cvec[i] = Double.parseDouble(dataLine[i].trim().replaceAll("D", "E")); - } - - //reading a - for (int i = 0; i < lda; ++i) { - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != sda) { - System.err.println("Something went wrong when reading the data file - not enought or too many data for a"); - System.exit(1); - } - for (int j = 0; j < sda; ++j) { - a[(int)(i + j * lda)] = Double.parseDouble(dataLine[j].trim().replaceAll("D", "E")); - } - } - - //reading bl - //it's on two lines in the data file, so we need to merge them - line = dataIn.readLine().trim().split(":")[0].trim() + " " + dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n + nclin) { - System.err.println("Something went wrong when reading the data file - not enought or too many data for bl"); - System.exit(1); - } - for (int i = 0; i < n + nclin; ++i) { - bl[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); - } - - //reading bu - //it's on two lines in the data file, so we need to merge them - line = dataIn.readLine().trim().split(":")[0].trim() + " " + dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n + nclin) { - System.err.println("Something went wrong when reading the data file - not enought or too many data for bu"); - System.exit(1); - } - for (int i = 0; i < n + nclin; ++i) { - bu[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); - } - - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n) { - System.err.println("Something went wrong when reading the data file - not enought or too many data for x"); - System.exit(1); - } - for (int i = 0; i < n; ++i) { - x[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); - } - - for (int i = 0; i < ldh; ++i) { - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n) { - System.err.println("Something went wrong when reading the data file - not enought or too many data for h at line " + i); - System.exit(1); - } - for (int j = 0; j < n; ++j) { - h[(int)(i + j * ldh)] = Double.parseDouble(dataLine[j].replaceAll("D", "E")); - } - } - - - } - } - -} diff --git a/simple_examples/int64/E04UCJE.java b/simple_examples/int64/E04UCJE.java deleted file mode 100644 index 20ad573..0000000 --- a/simple_examples/int64/E04UCJE.java +++ /dev/null @@ -1,207 +0,0 @@ -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.E04.E04UC; -import com.nag.routines.E04.E04WB; -import com.nag.routines.F06.DGEMV; -import com.nag.routines.Routine; -import java.util.Arrays; - -/** - * @author joed - */ -public class E04UCJE { - - public static final double ONE = 1.0, ZERO = 0.0; - public static final long INC1 = 1, LCWSAV = 1, LIWSAV = 610, LLWSAV = 120, LRWSAV = 475; - public static CONFUN confun = new CONFUN(); - public static OBJFUN objfun = new OBJFUN(); - - public static void main(String[] args) throws NAGBadIntegerException { - /* Local Scalars */ - double objf; - long i, ifail, iter, j, lda, ldcj, ldr, liwork, lwork, n, nclin, ncnln, sda, sdcjac; - /* Local Arrays */ - double[] a, bl, bu, c, cjac, clamda, objgrd, r, work, x; - double[] ruser = new double[1], rwsav = new double[(int)LRWSAV]; - long[] istate, iwork; - long[] iuser = new long[1], iwsav = new long[(int)LIWSAV]; - boolean[] lwsav = new boolean[(int)LLWSAV]; - String[] cwsav = new String[(int)LCWSAV]; - Arrays.fill(cwsav, " "); - - System.out.println(" E04UCJ Example Program Results"); - Routine.init(); - - /* Set scalars */ - n = 4; - nclin = 1; - ncnln = 2; - liwork = 3*n + nclin + 2*ncnln; - lda = Math.max(1, nclin); - sda = (nclin > 0) ? n : 1; - ldcj = Math.max(1, ncnln); - sdcjac = (ncnln > 0) ? n : 1; - ldr = n; - - if (ncnln == 0 && nclin > 0) { - lwork = 2*n*n + 20*n + 11*nclin; - } - else if (ncnln > 0 && nclin >= 0) { - lwork = 2*n*n + n*nclin + 2*n*ncnln + 20*n + 11*nclin + 21*ncnln; - } - else { - lwork = 20*n; - } - - /* Set arrays */ - istate = new long[(int)(n + nclin + ncnln)]; - iwork = new long[(int)liwork]; - c = new double[(int)(Math.max(1, ncnln))]; - cjac = new double[(int)(ldcj * sdcjac)]; - clamda = new double[(int)(n + nclin + ncnln)]; - objgrd = new double[(int)n]; - r = new double[(int)(ldr * n)]; - work = new double[(int)lwork]; - - a = new double[]{1.0, 1.0, 1.0, 1.0}; - bl = new double[]{1.0, 1.0, 1.0, 1.0, -1.0E+25, -1.0E+25, 25.0}; - bu = new double[]{5.0, 5.0, 5.0, 5.0, 20.0, 40.0, 1.0E+25}; - x = new double[]{1.0, 5.0, 5.0, 1.0}; - - /* Initialise E04UC */ - E04WB e04wb = new E04WB(); - ifail = 0; - e04wb.eval("E04UCA", cwsav, LCWSAV, lwsav, LLWSAV, iwsav, LIWSAV, rwsav, LRWSAV, ifail); - - /* Solve the problem */ - E04UC e04uc = new E04UC(); - iter = 0; - objf = 0.0; - ifail = -1; - e04uc.eval(n, nclin, ncnln, lda, ldcj, ldr, a, bl, bu, confun, objfun, iter, istate, c, - cjac, clamda, objf, objgrd, r, x, iwork, liwork, work, lwork, iuser, ruser, - lwsav, iwsav, rwsav, ifail); - iter = e04uc.getITER(); - objf = e04uc.getOBJF(); - ifail = e04uc.getIFAIL(); - - if ((0 >= ifail && ifail <= 6) || ifail == 8) { - System.out.println(); - System.out.println(" Varbl Istate Value Lagr Mult"); - System.out.println(); - - for (i = 0; i < n; i++) { - System.out.printf(" V %3d %3d %13.6G %13.4G\n", i+1, istate[(int)i], x[(int)i], clamda[(int)i]); - } - - if (nclin > 0) { - - /* A*x --> work. - * The NAG name equivalent of DGEMV is F06PA */ - DGEMV dgemv = new DGEMV(); - dgemv.eval("N", nclin, n, ONE, a, lda, x, INC1, ZERO, work, INC1); - - System.out.println(); - System.out.println(); - System.out.println(" L Con Istate Value Lagr Mult"); - System.out.println(); - - for (i = n; i < n+nclin; i++) { - j = i - n; - System.out.printf(" L %3d %3d %13.6G %13.4G\n", j+1, istate[(int)i], work[(int)j], clamda[(int)i]); - } - - } - - if (ncnln > 0) { - System.out.println(); - System.out.println(); - System.out.println(" N Con Istate Value Lagr Mult"); - System.out.println(); - - for (i = n+nclin; i < n+nclin+ncnln; i++) { - j = i - n - nclin; - System.out.printf(" N %3d %3d %13.6G %13.4G\n", j+1, istate[(int)i], c[(int)j], clamda[(int)i]); - } - - } - - System.out.println(); - System.out.println(); - System.out.printf(" Final objective value = %11.7G\n", objf); - - } - - } - - /** Routine to evaluate objective function and its 1st derivatives */ - public static class OBJFUN extends E04UC.Abstract_E04UC_OBJFUN { - - public void eval() { - - if (MODE == 0 || MODE == 2) { - OBJF = X[0] * X[3] * (X[0]+X[1]+X[2]) + X[2]; - } - - if (MODE == 1 || MODE == 2) { - OBJGRD[0] = X[3] * (X[0]+X[0]+X[1]+X[2]); - OBJGRD[1] = X[0] * X[3]; - OBJGRD[2] = X[0] * X[3] + ONE; - OBJGRD[3] = X[0] * (X[0]+X[1]+X[2]); - } - - } - - } - - /** Routine to evaluate the nonlinear constraints and their 1st derivatives */ - public static class CONFUN extends E04UC.Abstract_E04UC_CONFUN { - - public void eval() { - - if (NSTATE == 1) { - - /* First call to CONFUN. Set all Jacobian elements to zero. - * Note that this will only work when 'Derivative Level = 3' - * (the default; see Section 11.2). */ - - for (int i = 0; i < CJAC.length; ++i) { - CJAC[i] = 0; - } - - } - - if (NEEDC[0] > 0) { - - if (MODE == 0 || MODE == 2) { - C[0] = X[0]*X[0] + X[1]*X[1] + X[2]*X[2] + X[3]*X[3]; - } - - if (MODE == 1 || MODE == 2) { - CJAC[0] = X[0] + X[0]; - CJAC[(int)LDCJ] = X[1] + X[1]; - CJAC[(int)(2*LDCJ)] = X[2] + X[2]; - CJAC[(int)(3*LDCJ)] = X[3] + X[3]; - } - - } - - if (NEEDC[1]>0) { - - if (MODE == 0 || MODE == 2) { - C[1] = X[0]*X[1]*X[2]*X[3]; - } - - if (MODE == 1 || MODE == 2) { - CJAC[1] = X[1]*X[2]*X[3]; - CJAC[(int)(1+LDCJ)] = X[0]*X[2]*X[3]; - CJAC[(int)(1+2*LDCJ)] = X[0]*X[1]*X[3]; - CJAC[(int)(1+3*LDCJ)] = X[0]*X[1]*X[2]; - } - - } - - } - - } - -} diff --git a/simple_examples/int64/F02EKJE.java b/simple_examples/int64/F02EKJE.java deleted file mode 100644 index d8f152c..0000000 --- a/simple_examples/int64/F02EKJE.java +++ /dev/null @@ -1,230 +0,0 @@ -emacimport java.util.Arrays; - -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.F02.F02EK; -import com.nag.routines.F12.F12AD; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.Routine; -import com.nag.types.*; - - -/** - * @author joed - */ -public class F02EKJE { - - public static MYMONIT mymonit = new MYMONIT(); - public static MYOPTION myoption = new MYOPTION(); - - public static void main(String[] args) throws NAGBadIntegerException { - F02EK f02ek = new F02EK(); - X02AJ x02aj = new X02AJ(); - double h, rho, s, sigma; - int ifail, imon, k, ldv, maxit, mode, n, nconv, ncv, nev, nnz, nx, - prtlvl; - NAGComplex complex = new NAGComplex(); - double[] a, resid, v, ruser = new double[1]; - int[] icolzp, irowix, iuser = new int[4]; - NAGComplex[] w; - - // Initialise wrapper library - Routine.init(); - Routine.setComplex(complex); - - System.out.println(" F02EKJ Example Program Results"); - System.out.println(); - - nx = 10; - nev = 4; - ncv = 20; - rho = 10.0; - sigma = 5.5; - - n = nx * nx; - nnz = 3*n - 2; - ldv = n; - - resid = new double[ncv]; - a = new double[nnz]; - icolzp = new int[n + 1]; - irowix = new int[nnz]; - w = (NAGComplex[]) complex.getArrayOfInstances(ncv); - v = new double[ldv * ncv]; - - // Construct A in compressed column storage (CCS) format where: - // A{ i , i } = 2 + i - // A{i+1, i } = 3 - // A{ i , i+1} = rho/(2n+2) - 1 - - h = 1.0 / (double)(n+1); - s = (rho * h / 2.0) - 1.0; - - a[0] = 2.0 + 1.0; - a[1] = 3.0; - icolzp[0] = 1; - irowix[0] = 1; - irowix[1] = 2; - k = 3; - - for (int i = 1; i < n - 1; i++) { - icolzp[i] = k; - irowix[k - 1] = i; - irowix[k] = i + 1; - irowix[k + 1] = i + 2; - a[k - 1] = s; - a[k] = 2.0 + (double)(i + 1); - a[k + 1] = 3.0; - k += 3; - } - - icolzp[n - 1] = k; - icolzp[n] = k + 2; - irowix[k - 1] = n - 1; - irowix[k] = n; - a[k - 1] = s; - a[k] = 2.0 + (double)(n); - - // Set some options via iuser array and return routine argument OPTION - // iuser[0] = print level - // iuser[1] = iteration limit - // iuser[2] > 0 means shifted-invert mode - // iuser[3] > 0 means print monitoring info - - prtlvl = 0; - maxit = 500; - mode = 1; - imon = 1; - - if (prtlvl > 0) { - imon = 0; - } - - iuser[0] = prtlvl; - iuser[1] = maxit; - iuser[2] = mode; - iuser[3] = imon; - - nconv = 0; // placeholder value, nconv is output only - ifail = 0; // hard exit on error - - f02ek.eval( - n, nnz, a, icolzp, irowix, nev, ncv, sigma, mymonit, myoption, - nconv, w, v, ldv, resid, iuser, ruser, ifail - ); - ifail = f02ek.getIFAIL(); - nconv = f02ek.getNCONV(); - - System.out.println(); - System.out.printf( - " The %4d Ritz values of closest to %13.5E are:\n", nconv, sigma - ); - - // Get machine precision - double mp = x02aj.eval(); - - for (int i = 0; i < nconv; i++) { - if (resid[i] > (double)(100*n*mp)) { - System.out.printf( - " %8d ( %13.5E , %13.5E ) %13.5E\n", - i + 1, w[i], resid[i] - ); - } - else { - System.out.printf( - " %8d ( %13.5E , %13.5E )\n", - i + 1, w[i].getRe(), w[i].getIm() - ); - } - } - - } - - public static class MYOPTION extends F02EK.Abstract_F02EK_OPTION { - - public void eval() { - F12AD f12ad = new F12AD(); - int ifail1; - String rec = " "; - - this.ISTAT = 0; - - if (this.IUSER[0] > 0) { - System.out.printf("Print Level=%5d\n", this.IUSER[0]); - ifail1 = 1; - f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[1] > 100) { - System.out.printf("Iteration Limit=%5d\n", this.IUSER[1]); - ifail1 = 1; - f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[2] > 0) { - ifail1 = 1; - f12ad.eval ( - "Shifted Inverse Real ", this.ICOMM, this.COMM, ifail1 - ); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - } - - } - - public static class MYMONIT extends F02EK.Abstract_F02EK_MONIT { - - public NAGComplexInterface[] getW(){ - return this.W; - } - - public void eval() { - - if (this.IUSER[3] > 0) { - - if (this.NITER == 1 && this.IUSER[2] > 0) { - System.out.printf( - " Arnoldi basis vectors used:%4d\n", this.NCV - ); - System.out.printf( - " The following Ritz values (mu) are related to the\n" - + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" - ); - } - - System.out.println(); - System.out.printf(" Iteration number %4d\n", this.NITER); - System.out.printf( - " Ritz values converged so far (%4d) and their Ritz" - + " estimates:\n", this.NCONV - ); - - for (int i = 0; i < this.NCONV; i++) { - System.out.printf( - " %4d (%13.5E,%13.5E) %13.5E\n", - i + 1, this.W[i].getRe(), this.W[i].getIm(), - this.RZEST[i] - ); - } - - System.out.printf(" Next (unconverged) Ritz value:\n"); - - System.out.printf( - " %4d (%13.5E,%13.5E)\n", - this.NCONV + 1, this.W[NCONV].getRe(), this.W[NCONV].getIm() - ); - - } - - this.ISTAT = 0; - - } - - } - -} diff --git a/simple_examples/source/int32/A00AAJE.java b/simple_examples/source/int32/A00AAJE.java deleted file mode 100644 index 65b6c18..0000000 --- a/simple_examples/source/int32/A00AAJE.java +++ /dev/null @@ -1,16 +0,0 @@ -import com.nag.routines.A00.A00AA; - -/** - * A00AA example program text. - */ -public class A00AAJE { - - public static void main(String[] args) { - A00AA a00aa = new A00AA(); - - System.out.println(" A00AAJ Example Program Results\n"); - a00aa.eval(); - - } - -} diff --git a/simple_examples/source/int32/A00ACJE.java b/simple_examples/source/int32/A00ACJE.java deleted file mode 100644 index 7f44ba3..0000000 --- a/simple_examples/source/int32/A00ACJE.java +++ /dev/null @@ -1,29 +0,0 @@ -import com.nag.routines.A00.A00AC; - -/** - * A00AC example program text. - * @author Mo - */ -public class A00ACJE { - - public static void main(String[] args) { - A00AC a00ac = new A00AC(); - boolean lmok; - - System.out.println(" A00ACJ Example Program Results\n"); - System.out.println(); - - a00ac.eval(); - - lmok = a00ac.eval(); - - if (lmok) { - System.out.println("A valid licence key is available"); - } - else { - System.out.println("No valid licence key was found"); - } - - } - -} diff --git a/simple_examples/source/int32/A00ADJE.java b/simple_examples/source/int32/A00ADJE.java deleted file mode 100644 index 139c8b9..0000000 --- a/simple_examples/source/int32/A00ADJE.java +++ /dev/null @@ -1,107 +0,0 @@ -import com.nag.routines.A00.A00AD; -import com.nag.routines.X05.X05AA; -import java.util.Arrays; - -/** - * A00AD example program text. - */ -public class A00ADJE { - - public static void main(String[] args) { - - A00AD a00ad = new A00AD(); - X05AA x05aa = new X05AA(); - int i, mkmaj, mkmin; - boolean licval; - String fcomp, hdware, impl, opsys, pcode, prec, vend; - int[] itime = new int[7]; - - // Instantiate arguments - mkmaj = 0; - mkmin = 0; - licval = false; - - // Strings must be length expected by Fortran - fcomp = getBlankString(80); - hdware = getBlankString(80); - impl = getBlankString(80); - opsys = getBlankString(80); - pcode = getBlankString(80); - prec = getBlankString(80); - vend = getBlankString(80); - - System.out.println(" A00ADJ Example Program Results\n"); - - a00ad.eval(impl, prec, pcode, mkmaj, mkmin, hdware, opsys, fcomp, vend, licval); - - // Output scalars must be retrieved manually - impl = a00ad.getIMPL(); - prec = a00ad.getPREC(); - pcode = a00ad.getPCODE(); - mkmaj = a00ad.getMKMAJ(); - mkmin = a00ad.getMKMIN(); - hdware = a00ad.getHDWARE(); - opsys = a00ad.getOPSYS(); - fcomp = a00ad.getFCOMP(); - vend = a00ad.getVEND(); - licval = a00ad.getLICVAL(); - - // Print implementation details - - System.out.println("*** Start of NAG Library implementation details ***"); - System.out.println(); - System.out.println("Implementation title: " + impl.trim()); - System.out.println(" Precision: " + prec.trim()); - System.out.println(" Product code: " + pcode.trim()); - - if (mkmin < 10) { - System.out.printf(" Mark: %2d.%1d\n", mkmaj, mkmin); - } - else { - System.out.printf(" Mark: %2d.%2d\n", mkmaj, mkmin); - } - - if (vend.trim().equals("(self-contained)")) { - System.out.println(" Vendor Library: None"); - } - else { - System.out.println(" Vendor Library: " + vend.trim()); - } - - System.out.println("Applicable to:"); - System.out.println(" hardware: " + hdware.trim()); - System.out.println(" operating system: " + opsys.trim()); - System.out.println(" Fortran compiler: " + fcomp.trim()); - System.out.println("and compatible systems."); - - if (!licval) { - System.out.println(" Licence query: Unsuccessful"); - } - else { - System.out.println(" Licence query: Successful"); - } - - System.out.println(); - System.out.println("*** End of NAG Library implementation details ***"); - - } - - /** - * Returns a new String, filled with spaces to the specified length. - * - * @param len the required length of the String - * @return a blank String of the specified length - */ - public static String getBlankString(int len) { - - if (len > 0) { - char[] arr = new char[len]; - Arrays.fill(arr, ' '); - return new String(arr); - } - - return ""; - - } - -} diff --git a/simple_examples/source/int32/C02AAJE.java b/simple_examples/source/int32/C02AAJE.java deleted file mode 100644 index 1abc528..0000000 --- a/simple_examples/source/int32/C02AAJE.java +++ /dev/null @@ -1,174 +0,0 @@ -import com.nag.routines.C02.C02AA; -import com.nag.routines.Routine; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X02.X02AL; -import com.nag.types.NAGComplex; -import java.util.Arrays; - -/** - * C02AA example program text. - * @author joed - * @since 27.1.0.0 - */ -public class C02AAJE { - - public static void main(String[] args) { - - System.out.println(" C02AAJ Example Program Results"); - - Routine.setComplex(new NAGComplex()); - exampleBasic(); - examplePolishing(); - - System.out.println(); - - } - - /** Demonstrate a basic problem. */ - public static void exampleBasic() { - - C02AA c02aa = new C02AA(); - int ifail, itmax, n, polish; - NAGComplex[] a, z; - double[] berr, cond; - int[] conv; - - System.out.println(); - System.out.println("Example 1: Basic Problem"); - System.out.println(); - - // Set polynomial degree and instantiate arrays - n = 5; - a = new NAGComplex[n+1]; - berr = new double[n]; - cond = new double[n]; - conv = new int[n]; - z = NAGComplex.createArray(n); - - // Set polynomial coefficients - a[0] = new NAGComplex(5.0, 6.0); - a[1] = new NAGComplex(30.0, 20.0); - a[2] = new NAGComplex(-0.2, -6.0); - a[3] = new NAGComplex(50.0, 100000.0); - a[4] = new NAGComplex(-2.0, 40.0); - a[5] = new NAGComplex(10.0, 1.0); - - // Find roots of the polynomial - itmax = 30; - polish = 1; - ifail = 0; - c02aa.eval(a, n, itmax, polish, z, berr, cond, conv, ifail); - - // Print output - System.out.println(" i z conv berr cond "); - System.out.println(" ---------------------------------------------------"); - for (int i = 0; i < n; i++) { - System.out.printf(" %2d %9.2E, %9.2E %3d %9.2E %9.2E\n", i+1, - z[i].getRe(), z[i].getIm(), conv[i], berr[i], cond[i]); - } - - } - - /** Compare polishing processes on a Wilkinson-style polynomial. */ - public static void examplePolishing() { - - C02AA c02aa = new C02AA(); - X02AJ x02aj = new X02AJ(); - X02AL x02al = new X02AL(); - NAGComplex pz; - double delta, eps, err, fwderr, maxfwderr, maxrelerr, relerr, rmax; - int ifail, itmax, k, n, polish; - NAGComplex[] a, z, zact; - double[] berr, cond; - int[] conv; - boolean[] matched; - - System.out.println(); - System.out.println("Example 2: Polishing Processes"); - System.out.println(); - - // Set polynomial degree and instantiate - n = 10; - a = new NAGComplex[n+1]; - berr = new double[n]; - cond = new double[n]; - conv = new int[n]; - matched = new boolean[n]; - z = new NAGComplex[n]; - zact = new NAGComplex[n]; - - // Set known roots and (instantiate z) - for (int i = 0; i < n; i++) { - zact[i] = new NAGComplex((double) i+1, 0.0); - z[i] = new NAGComplex(); - } - - // Multiply out (z-1)(z-2)...(z-n) for coefficients - for (int i = 0; i < n; i++) { - a[i] = new NAGComplex(); - } - a[n] = new NAGComplex(1.0, 0.0); - for (int i = 0; i < n; i++) { - for (int j = 0; j < n; j++) { - a[j] = a[j+1].subtract(a[j].multiply(zact[i])); - } - a[n] = a[n].negate().multiply(zact[i]); - } - - System.out.println(" polish relerr fwderr "); - System.out.println(" ----------------------------"); - - itmax = 30; - eps = x02aj.eval(); - rmax = x02al.eval(); - - for (polish = 0; polish <= 2; polish++) { - - // Find roots - ifail = 0; - c02aa.eval(a, n, itmax, polish, z, berr, cond, conv, ifail); - - /* Calculate the maximum relative errors of the roots, and the maximum - * forward error evaluating the polynomial at those roots. Errors are - * capped at machine precision. */ - maxrelerr = maxfwderr = eps; - Arrays.fill(matched, false); - - for (int i = 0; i < n; i++) { - - // Evaluate polynomial at this root - pz = a[0].clone(); - for (int j = 1; j <= n; j++) { - pz = z[i].multiply(pz).add(a[j]); - } - - // Match to an expected root - k = 0; - err = rmax; - for (int j = 0; j < n; j++) { - if (!matched[j]) { - delta = z[i].subtract(zact[j]).abs(); - if (delta <= err) { - err = delta; - k = j; - } - } - } - - // Mark as matched and update max errors - matched[k] = true; - relerr = err/zact[k].abs(); - fwderr = pz.abs(); - maxrelerr = Math.max(maxrelerr, relerr); - maxfwderr = Math.max(maxfwderr, fwderr); - - } - - // Print output - System.out.printf(" %2d %10.2E%10.2E\n", polish, maxrelerr, maxfwderr); - - } - - } - -} diff --git a/simple_examples/source/int32/C02ABJE.java b/simple_examples/source/int32/C02ABJE.java deleted file mode 100644 index fad5ebb..0000000 --- a/simple_examples/source/int32/C02ABJE.java +++ /dev/null @@ -1,217 +0,0 @@ -import com.nag.routines.C02.C02AB; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X02.X02AL; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.util.Arrays; - -/** - * C02AB - */ -public class C02ABJE { - - public static void main(String[] args) { - - final boolean polish_example = false; - - Routine.setComplex(new NAGComplex()); - - System.out.println(" C02ABJ Example Program Results"); - - ex1_basic(args); - if (polish_example) { - ex2_polishing(args); - } - } - - public static void ex1_basic(String[] args) { - - int i, ifail, itmax, n = 0, polish; - - NAGComplex[] z = null; - double[] a = null, berr = null, cond = null; - int[] conv = null; - - System.out.println("\n Basic Problem\n"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading in data file - String line = reader.readLine(); - line = reader.readLine(); - line = reader.readLine(); - - // Read polynomial degree and allocate - line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - a = new double[n + 1]; - berr = new double[n]; - cond = new double[n]; - conv = new int[n]; - z = NAGComplex.createArray(n); - - // Read polynomial coefficients - for (i = 0; i <= n; i++) { - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - a[i] = Double.parseDouble(sVal[0]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Find roots of the polynomial - itmax = 30; - polish = 1; - ifail = 0; - C02AB c02ab = new C02AB(); - c02ab.eval(a ,n, itmax, polish, z, berr, cond, conv, ifail); - - // Print output - System.out.println(" i z conv berr cond"); - System.out.println(" -----------------------------------------------------"); - for (i = 0; i < n; i++) { - System.out.printf(" %2d (%10.2E, %9.2E) %3d %9.2E %9.2E\n", i+1, z[i].getRe(), z[i].getIm(), conv[i], berr[i], cond[i]); - } - } - - public static void ex2_polishing(String[] args) { - NAGComplex pz = new NAGComplex(); - double delta, eps, err, fwderr, maxfwderr, maxrelerr, relerr, rmax; - int i, ifail, itmax, j, k, n = 0, polish; - - NAGComplex[] z = null, zact = null; - double[] a = null, berr = null, cond = null; - int[] conv = null; - boolean[] matched = null; - - System.out.println("\n Polishing Processes\n"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading and previous example in data file - for (i = 0; i <= 12; i++) { - reader.readLine(); - } - - // Read polynomial degree and allocate - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - - a = new double[n + 1]; - berr = new double[n]; - cond = new double[n]; - conv = new int[n]; - matched = new boolean[n]; - z = NAGComplex.createArray(n); - zact = NAGComplex.createArray(n); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Set known roots - for (i = 0; i < n; i++) { - zact[i] = new NAGComplex((double) (i + 1), 0.0); - } - - // Multiply out (z-1)(z-2)...(z-n) for coefficients - for (i = 0; i < n; i++) { - a[i] = 0.0; - } - a[n] = 1.0; - for (i = 0; i < n; i++) { - for (j = 0; j < n; j++) { - a[j] = a[j + 1] - a[j] * zact[i].getRe(); - } - a[n] = -a[n] * zact[i].getRe(); - } - - System.out.println(" polish relerr fwderr"); - System.out.println(" ----------------------------"); - - // Use different polish modes - X02AJ x02aj = new X02AJ(); - X02AL x02al = new X02AL(); - for (polish = 0; polish <= 2; polish++) { - - itmax = 30; - eps = x02aj.eval(); - rmax = x02al.eval(); - - // Find roots - ifail = 0; - C02AB c02ab = new C02AB(); - c02ab.eval(a, n , itmax, polish, z, berr, cond, conv, ifail); - - // Calculate the maximum relative errors of the roots, and the maximum - // forward error evaluating the polynomial at those roots. Errors are - // capped at machine precision. - maxrelerr = eps; - maxfwderr = eps; - Arrays.fill(matched, false); - - for (i = 0; i < n; i++) { - // Evaluate polynomial at this root - pz = new NAGComplex(a[0], 0.0); - for (j = 1; j <= n; j++) { - pz = z[i].multiply(pz).add(new NAGComplex(a[j], 0.0)); - } - - // Match to an expected root - k = 0; - err = rmax; - for (j = 0; j < n; j++) { - if (!matched[j]) { - delta = z[i].subtract(zact[j]).abs(); - if (delta <= err) { - err = delta; - k = j; - } - } - } - - // Mark as matched and update max errors - matched[k] = true; - relerr = err/zact[k].abs(); - fwderr = pz.abs(); - maxrelerr = Math.max(maxrelerr, relerr); - maxfwderr = Math.max(maxfwderr, fwderr); - } - - // Print output - System.out.printf(" %2d %10.2E%10.2E\n", polish, maxrelerr, maxfwderr); - - } - } -} diff --git a/simple_examples/source/int32/C02AFJE.java b/simple_examples/source/int32/C02AFJE.java deleted file mode 100644 index 6043be7..0000000 --- a/simple_examples/source/int32/C02AFJE.java +++ /dev/null @@ -1,271 +0,0 @@ -import com.nag.routines.C02.C02AF; -import com.nag.routines.A02.A02AB; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X02.X02AL; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.util.Arrays; - -/** - * C02AF - */ -public class C02AFJE { - - public static final boolean scal = true; - - public static void main(String[] args) { - - System.out.println(" C02AFJ Example Program Results"); - - ex1(args); - - ex2(args); - } - - public static void ex1(String[] args) { - - int i, ifail, n = 0; - - double[][] a = null, z = null; - double[] w = null; - - System.out.println("\n\n Example 1"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading in data file - reader.readLine(); - reader.readLine(); - reader.readLine(); - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - - a = new double[2][n + 1]; - w = new double[4 * (n + 1)]; - z = new double[2][n]; - - for (i = 0; i <= n; i++) { - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - a[0][i] = Double.parseDouble(sVal[0]); - a[1][i] = Double.parseDouble(sVal[1]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = 0; - C02AF c02af = new C02AF(); - double[] a1d = convert2DTo1D(a); - double[] z1d = convert2DTo1D(z); - c02af.eval(a1d, n, scal, z1d, w, ifail); - - z = convert1DTo2D(z1d, 2); - - System.out.println(); - System.out.printf(" Degree of polynomial = %4d\n", n); - System.out.println(); - System.out.println(" Computed roots of polynomial"); - System.out.println(); - - for (i = 0; i < n; i++) { - System.out.printf(" z = %12.4E%+12.4E*i\n", z[0][i], z[1][i]); - } - - } - - public static void ex2(String[] args) { - - double deltac, deltai, di, eps, epsbar, f, r1, r2, r3, rmax; - int i, ifail, j, jmin = 0, n = 0; - - double[][] a = null, abar = null, z = null, zbar = null; - double[] r = null, w = null; - int[] m = null; - - System.out.println("\n\n Example 2"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading and previous example in data file - for (i = 0; i < 12; i++) { - reader.readLine(); - } - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - a = new double[2][n + 1]; - abar = new double[2][n + 1]; - r = new double[n]; - w = new double[4 * (n + 1)]; - z = new double[2][n]; - zbar = new double[2][n]; - m = new int[n]; - - // Read in the coefficients of the original polynomial. - for (i = 0; i <= n; i++) { - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - a[0][i] = Double.parseDouble(sVal[0]); - a[1][i] = Double.parseDouble(sVal[1]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Compute the roots of the original polynomial. - ifail = 0; - C02AF c02af = new C02AF(); - double[] a1d = convert2DTo1D(a); - double[] z1d = convert2DTo1D(z); - c02af.eval(a1d, n, scal, z1d, w, ifail); - - z = convert1DTo2D(z1d, 2); - - // Form the coefficients of the perturbed polynomial. - X02AJ x02aj = new X02AJ(); - eps = x02aj.eval(); - epsbar = 3.0 * eps; - - for (i = 0; i <= n; i++) { - if (a[0][i] != 0.0E0) { - f = 1.0E0 + epsbar; - epsbar = -epsbar; - abar[0][i] = f * a[0][i]; - - if (a[1][i] != 0.0E0) { - abar[1][i] = f * a[1][i]; - } else { - abar[1][i] = 0.0E0; - } - - } else { - - if (a[1][i] != 0.0E0) { - f = 1.0E0 + epsbar; - epsbar = -epsbar; - abar[1][i] = f * a[1][i]; - } else { - abar[1][i] = 0.0E0; - } - } - } - - // Compute the roots of the perturbed polynomial. - ifail = 0; - double[] abar1d = convert2DTo1D(abar); - double[] zbar1d = convert2DTo1D(zbar); - c02af.eval(abar1d, n, scal, zbar1d, w, ifail); - - zbar = convert1DTo2D(zbar1d, 2); - - // Perform error analysis. - - // Initialize markers to 0 (unmarked). - Arrays.fill(m, 0); - X02AL x02al = new X02AL(); - rmax = x02al.eval(); - - // Loop over all unperturbed roots (stored in Z). - A02AB a02ab = new A02AB(); - for (i = 0; i < n; i++) { - deltai = rmax; - r1 = a02ab.eval(z[0][i], z[1][i]); - - // Loop over all perturbed roots (stored in ZBAR). - for (j = 0; j < n; j++) { - // Compare the current unperturbed root to all unmarked - // perturbed roots. - - if (m[j] == 0) { - r2 = a02ab.eval(zbar[0][j], zbar[1][j]); - deltac = Math.abs(r1 - r2); - - if (deltac < deltai) { - deltai = deltac; - jmin = j; - } - } - } - - // Mark the selected perturbed root. - m[jmin] = 1; - - // Compute the relative error. - if (r1 != 0.0E0) { - r3 = a02ab.eval(zbar[0][jmin], zbar[1][jmin]); - di = Math.min(r1, r3); - r[i] = Math.max(deltai / Math.max(di, deltai / rmax), eps); - } else { - r[i] = 0.0E0; - } - } - - System.out.println(); - System.out.printf(" Degree of polynomial = %4d\n", n); - System.out.println(); - System.out.println(" Computed roots of polynomial Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < n; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", z[0][i], z[1][i], r[i]); - } - - } - - public static double[] convert2DTo1D(double[][] a) { - double[] b = new double[a.length * a[0].length]; - int n = a.length; - - for (int i = 0; i < a.length; i++) { - for (int j = 0; j < a[0].length; j++) { - b[i + j*n] = a[i][j]; - } - } - - return b; - } - - public static double[][] convert1DTo2D(double[] a, int n) { - double[][] b = new double[n][a.length / n]; - - for (int i = 0; i < b.length; i++) { - for (int j = 0; j < b[0].length; j++) { - b[i][j] = a[i + j*n]; - } - } - - return b; - } -} diff --git a/simple_examples/source/int32/C02AGJE.java b/simple_examples/source/int32/C02AGJE.java deleted file mode 100644 index c58e524..0000000 --- a/simple_examples/source/int32/C02AGJE.java +++ /dev/null @@ -1,262 +0,0 @@ -import com.nag.routines.C02.C02AG; -import com.nag.routines.A02.A02AB; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X02.X02AL; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.util.Arrays; - -/** - * C02AG - */ -public class C02AGJE { - - public static final boolean scal = true; - - public static void main(String[] args) { - - System.out.println(" C02AGJ Example Program Results"); - - ex1(args); - - ex2(args); - } - - public static void ex1(String[] args) { - double zi, zr; - int i, ifail, n = 0, nroot; - - double[] a = null, w = null; - double[][] z = null; - - System.out.println("\n\n Example 1\n"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading in data file - reader.readLine(); - reader.readLine(); - reader.readLine(); - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - a = new double[n + 1]; - w = new double[2 * (n + 1)]; - z = new double[2][n]; - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i <= n; i++) { - a[i] = Double.parseDouble(sVal[i]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - System.out.println(); - System.out.printf(" Degree of polynomial = %4d\n", n); - System.out.println(); - - ifail = 0; - C02AG c02ag = new C02AG(); - double[] z1d = convert2DTo1D(z); - c02ag.eval(a, n, scal, z1d, w, ifail); - - z = convert1DTo2D(z1d, 2); - - System.out.println(" Computed roots of polynomial"); - System.out.println(); - - nroot = 0; - - while (nroot < n) { - zr = z[0][nroot]; - zi = z[1][nroot]; - if (zi == 0.0E0) { - System.out.printf(" z = %12.4E\n", zr); - nroot += 1; - } else { - System.out.printf(" z = %12.4E +/- %12.4E*i\n", zr, Math.abs(zi)); - nroot += 2; - } - } - } - - public static void ex2(String[] args) { - - double deltac, deltai, di, eps, epsbar, f, r1, r2, r3, rmax; - int i, ifail, j, jmin = 0, n = 0; - - double[] a = null, abar = null, r = null, w = null; - double[][] z = null, zbar = null; - int[] m = null; - - System.out.println("\n\n Example 2"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading and previous example in data file - for (i = 0; i < 7; i++) { - reader.readLine(); - } - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - - a = new double[n+1]; - abar = new double[n+1]; - r = new double[n]; - w = new double[2 * (n+1)]; - z = new double[2][n]; - zbar = new double[2][n]; - m = new int[n]; - - // Read in the coefficients of the original polynomial. - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i <= n; i++) { - a[i] = Double.parseDouble(sVal[i]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Compute the roots of the original polynomial. - ifail = 0; - C02AG c02ag = new C02AG(); - double[] z1d = convert2DTo1D(z); - c02ag.eval(a, n, scal, z1d ,w, ifail); - - z = convert1DTo2D(z1d, 2); - - // Form the coefficients of the perturbed polynomial. - X02AJ x02aj = new X02AJ(); - eps = x02aj.eval(); - epsbar= 3.0 * eps; - - for (i = 0; i <= n; i++) { - if (a[i] != 0.0) { - f = 1.0 + epsbar; - epsbar = -epsbar; - abar[i] = f * a[i]; - } else { - abar[i] = 0.0E0; - } - } - - // Compute the roots of the perturbed polynomial. - ifail = 0; - double[] zbar1d = convert2DTo1D(zbar); - c02ag.eval(abar, n, scal, zbar1d, w, ifail); - - zbar = convert1DTo2D(zbar1d, 2); - - // Perform error analysis. - - // Initialize markers to 0 (unmarked). - Arrays.fill(m, 0); - - X02AL x02al = new X02AL(); - rmax = x02al.eval(); - - // Loop over all unperturbed roots (stored in Z). - A02AB a02ab = new A02AB(); - for (i = 0; i < n; i++) { - deltai = rmax; - r1 = a02ab.eval(z[0][i], z[1][i]); - - // Loop over all perturbed roots (stored in ZBAR). - for (j = 0; j < n; j++) { - // Compare the current unperturbed root to all unmarked - // perturbed roots. - - if (m[j] == 0) { - r2 = a02ab.eval(zbar[0][i], zbar[1][i]); - deltac = Math.abs(r1-r2); - - if (deltac < deltai) { - deltai = deltac; - jmin = j; - } - } - } - - // Mark the selected perturbed root. - m[jmin] = 1; - - // Compute the relative error. - if (r1 != 0.0E0) { - r3 = a02ab.eval(zbar[0][jmin], zbar[1][jmin]); - di = Math.min(r1, r3); - r[i] = Math.max(deltai / Math.max(di, deltai / rmax), eps); - } else { - r[i] = 0.0; - } - } - - System.out.println(); - System.out.printf(" Degree of polynomial = %4d\n", n); - System.out.println(); - System.out.println(" Computed roots of polynomial Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < n; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", z[0][i], z[1][i], r[i]); - } - } - - public static double[] convert2DTo1D(double[][] a) { - double[] b = new double[a.length * a[0].length]; - int n = a.length; - - for (int i = 0; i < a.length; i++) { - for (int j = 0; j < a[0].length; j++) { - b[i + j * n] = a[i][j]; - } - } - - return b; - } - - public static double[][] convert1DTo2D(double[] a, int n) { - double[][] b = new double[n][a.length / n]; - - for (int i = 0; i < b.length; i++) { - for (int j = 0; j < b[0].length; j++) { - b[i][j] = a[i + j * n]; - } - } - - return b; - } -} diff --git a/simple_examples/source/int32/C02AHJE.java b/simple_examples/source/int32/C02AHJE.java deleted file mode 100644 index b1e12cd..0000000 --- a/simple_examples/source/int32/C02AHJE.java +++ /dev/null @@ -1,61 +0,0 @@ -import com.nag.routines.C02.C02AH; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AH - */ -public class C02AHJE { - - public static void main(String[] args) { - - double ai = 0, ar = 0, bi = 0, br = 0, ci = 0, cr = 0; - int ifail; - - double[] zlg = new double[2]; - double[] zsm = new double[2]; - - System.out.println(" C02AHJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - ar = Double.parseDouble(sVal[0]); - ai = Double.parseDouble(sVal[1]); - br = Double.parseDouble(sVal[2]); - bi = Double.parseDouble(sVal[3]); - cr = Double.parseDouble(sVal[4]); - ci = Double.parseDouble(sVal[5]); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = -1; - C02AH c02ah = new C02AH(); - c02ah.eval(ar, ai, br, bi, cr, ci, zsm, zlg, ifail); - ifail = c02ah.getIFAIL(); - - if (ifail == 0) { - System.out.println("\n Roots of quadratic equation\n"); - System.out.printf(" z = %12.4E%+14.4E*i\n", zsm[0], zsm[1]); - System.out.printf(" z = %12.4E%+14.4E*i\n", zlg[0], zlg[1]); - } - } -} diff --git a/simple_examples/source/int32/C02AJJE.java b/simple_examples/source/int32/C02AJJE.java deleted file mode 100644 index 64e3a5e..0000000 --- a/simple_examples/source/int32/C02AJJE.java +++ /dev/null @@ -1,65 +0,0 @@ -import com.nag.routines.C02.C02AJ; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AJ - */ -public class C02AJJE { - - public static void main(String[] args) { - - double a = 0, b = 0, c = 0; - int ifail; - - double[] zlg = new double[2]; - double[] zsm = new double[2]; - - System.out.println(" C02AJJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - a = Double.parseDouble(sVal[0]); - b = Double.parseDouble(sVal[1]); - c = Double.parseDouble(sVal[2]); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = -1; - C02AJ c02aj = new C02AJ(); - c02aj.eval(a, b, c, zsm, zlg, ifail); - ifail = c02aj.getIFAIL(); - - if (ifail == 0) { - System.out.println("\n Roots of quadratic equation\n"); - - if (zsm[1] == 0.0E0) { - // 2 real roots. - System.out.printf(" z = %12.4E\n", zsm[0]); - System.out.printf(" z = %12.4E\n", zlg[0]); - } else { - // 2 complex roots. - System.out.printf(" z = %12.4E +/- %12.4E*i", zsm[0], Math.abs(zsm[1])); - } - } - } -} diff --git a/simple_examples/source/int32/C02AKJE.java b/simple_examples/source/int32/C02AKJE.java deleted file mode 100644 index 4a0579f..0000000 --- a/simple_examples/source/int32/C02AKJE.java +++ /dev/null @@ -1,62 +0,0 @@ -import com.nag.routines.C02.C02AK; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AK - */ -public class C02AKJE { - - public static void main(String[] args) { - - double r = 0, s = 0, t = 0, u = 0; - int i, ifail; - - double[] errest = new double[3]; - double[] zeroi = new double[3]; - double[] zeror = new double[3]; - - System.out.println(" C02AKJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - u = Double.parseDouble(sVal[0]); - r = Double.parseDouble(sVal[1]); - s = Double.parseDouble(sVal[2]); - t = Double.parseDouble(sVal[3]); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = 0; - C02AK c02ak = new C02AK(); - c02ak.eval(u, r, s, t, zeror, zeroi, errest, ifail); - - System.out.println(); - System.out.println(" Roots of cubic equation Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < 3; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); - } - } -} diff --git a/simple_examples/source/int32/C02ALJE.java b/simple_examples/source/int32/C02ALJE.java deleted file mode 100644 index 4f9eac9..0000000 --- a/simple_examples/source/int32/C02ALJE.java +++ /dev/null @@ -1,64 +0,0 @@ -import com.nag.routines.C02.C02AL; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AL - */ -public class C02ALJE { - - public static void main(String[] args) { - - double a = 0, b = 0, c = 0, d = 0, e = 0; - int i, ifail; - - double[] errest = new double[4]; - double[] zeroi = new double[4]; - double[] zeror = new double[4]; - - System.out.println(" C02ALJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - e = Double.parseDouble(sVal[0]); - a = Double.parseDouble(sVal[1]); - b = Double.parseDouble(sVal[2]); - c = Double.parseDouble(sVal[3]); - d = Double.parseDouble(sVal[4]); - - } catch (FileNotFoundException e_exception) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e_exception) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e_exception.getMessage()); - } - - ifail = 0; - C02AL c02al = new C02AL(); - c02al.eval(e, a, b, c, d, zeror, zeroi, errest, ifail); - ifail = c02al.getIFAIL(); - - System.out.println(); - System.out.println(" Roots of quartic equation Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < 4; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); - } - } -} diff --git a/simple_examples/source/int32/C02AMJE.java b/simple_examples/source/int32/C02AMJE.java deleted file mode 100644 index f1fffa4..0000000 --- a/simple_examples/source/int32/C02AMJE.java +++ /dev/null @@ -1,75 +0,0 @@ -import com.nag.routines.C02.C02AM; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AM - */ -public class C02AMJE { - - public static void main(String[] args) { - - Routine.setComplex(new NAGComplex()); - - NAGComplex r = null, s = null, t = null, u = null; - int i, ifail; - - double[] errest = new double[3]; - double[] zeroi = new double[3]; - double[] zeror = new double[3]; - - System.out.println(" C02AMJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine().replaceAll("[(),]", ""); - String[] sVal = line.trim().split("\\s+"); - u = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - r = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - s = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - t = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = 0; - C02AM c02am = new C02AM(); - c02am.eval(u, r, s, t, zeror, zeroi, errest, ifail); - - System.out.println(); - System.out.println(" Roots of cubic equation Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < 3; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); - } - } -} diff --git a/simple_examples/source/int32/C02ANJE.java b/simple_examples/source/int32/C02ANJE.java deleted file mode 100644 index dc865e2..0000000 --- a/simple_examples/source/int32/C02ANJE.java +++ /dev/null @@ -1,80 +0,0 @@ -import com.nag.routines.C02.C02AN; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AN - */ -public class C02ANJE { - - public static void main(String[] args) { - - Routine.setComplex(new NAGComplex()); - - NAGComplex a = null, b = null, c = null, d = null, e = null; - int i, ifail; - - double[] errest = new double[4]; - double[] zeroi = new double[4]; - double[] zeror = new double[4]; - - System.out.println(" C02ANJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine().replaceAll("[(),]", ""); - String[] sVal = line.trim().split("\\s+"); - e = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - a = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - b = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - c = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - d = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - } catch (FileNotFoundException e_exception) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e_exception) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e_exception.getMessage()); - } - - ifail = 0; - C02AN c02an = new C02AN(); - c02an.eval(e, a, b, c, d, zeror, zeroi, errest, ifail); - ifail = c02an.getIFAIL(); - - System.out.println(); - System.out.println(" Roots of quartic equation Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < 4; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); - } - } -} diff --git a/simple_examples/source/int32/C05AUJE.java b/simple_examples/source/int32/C05AUJE.java deleted file mode 100644 index d2b09b1..0000000 --- a/simple_examples/source/int32/C05AUJE.java +++ /dev/null @@ -1,67 +0,0 @@ -import com.nag.routines.C05.C05AU; - -/** - * C05AUJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class C05AUJE{ - - /** - * C05AUJ main program - */ - public static void main(String[] args){ - double a = 0, b = 0, eps, eta, h, x; //placeholders - int ifail; - double[] ruser; - int[] iuser; - - ruser = new double[1]; //need to initialise before passing to wrapper - iuser = new int[1]; - - System.out.println("C05AUJ Example Program Results"); - - x = 1; - h = 0.1; - eps = 0.00001; - eta = 0; - - //Instance of class f to pass to wrapper - f f1 = new f(); - - ifail = -1; - C05AU c05au = new C05AU(x, h, eps, eta, f1, a, b, iuser, ruser, ifail); - c05au.eval(); - - //update values - x = c05au.getX(); - a = c05au.getA(); - b = c05au.getB(); - ifail = c05au.getIFAIL(); - - System.out.println(); - - switch(ifail){ - case 0: - System.out.printf("Root is : \t%.5f\n", x); - System.out.printf("Interval searched is : \t[ %.5f, %.5f]\n", a, b); - break; - case 3: - case 4: - System.out.printf("Final value = %.5f\n", x); - break; - } - } - - /** - * Extends abstract class C05AU.Abstract_C05AU_F. eval() returns the value of the function at a given x. - * eval() must be implemented by the user. - * @return x - e^x - */ - public static class f extends C05AU.Abstract_C05AU_F{ - public double eval(){ - return(this.X - Math.exp(-this.X)); - } - } -} - diff --git a/simple_examples/source/int32/C05AWJE.java b/simple_examples/source/int32/C05AWJE.java deleted file mode 100644 index 6ea3c9f..0000000 --- a/simple_examples/source/int32/C05AWJE.java +++ /dev/null @@ -1,59 +0,0 @@ -import com.nag.routines.C05.C05AW; - -public class C05AWJE{ - - public static void main(String[] args){ - double eps, eta, x; - int ifail, nfmax; - double[] ruser; - int[] iuser; - - ruser = new double[1]; - iuser = new int[1]; - - System.out.println("C05AWJ Example Program Results"); - System.out.println(); - - boolean finished = false; - for(int i = 3; i <= 4; i++){ - eps = Math.pow(10, -i); - x = 1; - eta = 0; - nfmax = 200; - - ifail = -1; - f f1 = new f(); - C05AW c05aw = new C05AW(x, eps, eta, f1, nfmax, iuser, ruser, ifail); - c05aw.eval(); - - ifail = c05aw.getIFAIL(); - x = c05aw.getX(); - eps = c05aw.getEPS(); - - switch(ifail){ - case(0): - System.out.printf("With eps = %.2e root = %.5f\n", eps, x); - break; - case(-1): - //exit loop - finished = true; - break; - case(3): - case(4): - System.out.printf("With eps = %.2e root = %.5f\n", eps, x); - break; - } - if(finished){ - break; - } - } - } - - public static class f extends C05AW.Abstract_C05AW_F{ - public double eval(){ - return(Math.exp(-X) - X); - } - } -} - - diff --git a/simple_examples/source/int32/C05AYJE.java b/simple_examples/source/int32/C05AYJE.java deleted file mode 100644 index c9ee43b..0000000 --- a/simple_examples/source/int32/C05AYJE.java +++ /dev/null @@ -1,44 +0,0 @@ -import com.nag.routines.C05.C05AY; - -/** - * C05AY example program text. - */ -public class C05AYJE { - - public static void main(String[] args) { - - C05AY c05ay = new C05AY(); - OBJFUN f = new OBJFUN(); - double a = 0.0, b = 1.0, eps = 1.0e-5, eta = 0.0, x = 0.0; - int ifail = 0; - int[] iuser = new int[1]; - double[] ruser = new double[1]; - - System.out.println("C05AYJ Example Program Results"); - System.out.println(); - - c05ay.eval(a, b, eps, eta, f, x, iuser, ruser, ifail); - x = c05ay.getX(); - - switch (ifail) { - case 0: - System.out.printf("Zero at x = %12.5f\n", x); - break; - case 2: case 3: - System.out.printf("Final point = %12.5f\n", x); - break; - default: - System.out.println("Unexpected ifail = " + ifail); - } - - } - - private static class OBJFUN extends C05AY.Abstract_C05AY_F { - - public double eval() { - return Math.exp(-X) - X; - } - - } - -} diff --git a/simple_examples/source/int32/C05AZJE.java b/simple_examples/source/int32/C05AZJE.java deleted file mode 100644 index 7c3e27e..0000000 --- a/simple_examples/source/int32/C05AZJE.java +++ /dev/null @@ -1,65 +0,0 @@ -import com.nag.routines.C05.C05AZ; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * C05AZ example program text. - */ -public class C05AZJE { - - public static void main(String[] args) { - double tolx = 0.00001, x = 0.0, y = 1.0, fx; - int ir = 0, ind = 1, ifail = -1; - double[] c = new double[17]; - boolean keepOn = true; - - - C05AZ c05az = new C05AZ(); - fx = fun(x); - int ite = 0; - - System.out.println(" C05AZJ Example Program Results\n"); - System.out.println(" Iterations\n"); - - while (keepOn) { - ++ite; - - c05az.eval(x,y,fx,tolx,ir,c,ind,ifail); - - x = c05az.getX(); - y = c05az.getY(); - tolx = c05az.getTOLX(); - ir = c05az.getIR(); - ind = c05az.getIND(); - ifail = c05az.getIFAIL(); - if (ind == 0) { - keepOn = false; - } - else { - fx = fun(x); - System.out.printf(" X = %7.5f FX = %11.4E IND = %1d\n", x, fx, ind); - } - - } - - switch (ifail) { - case 0: - System.out.println("\n Solution\n"); - System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); - break; - case 4: - case 5: - System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); - break; - default: - System.out.printf("Unexpected error ifail=%d\n",ifail); - } - - } - - private static double fun(double x) { - double res = (Math.expm1(-x) + 1) - x; - return res; - } - -} diff --git a/simple_examples/source/int32/C05BBJE.java b/simple_examples/source/int32/C05BBJE.java deleted file mode 100644 index 4723773..0000000 --- a/simple_examples/source/int32/C05BBJE.java +++ /dev/null @@ -1,89 +0,0 @@ -import com.nag.routines.C05.C05BB; -import com.nag.types.NAGComplex; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C05BBJ Example program text. - * @author willa - * @since 27.1.0.0 - */ -public class C05BBJE{ - - /** - * C05BBJE main program text - */ - public static void main(String[] args){ - NAGComplex w, z; - double resid = 0; - int branch = 0, ifail = 0; //placeholder - boolean offset = false; //placeholder - - //need to initialise first - z = new NAGComplex(); - w = new NAGComplex(); - - System.out.println("C05BBJ Example Program Results"); - - if(args.length != 1){ - System.out.println("Please specify path to data file as input"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - branch = Integer.parseInt(sVal[0]); - - line = reader.readLine(); - sVal = line.split("\\s+"); - offset = Boolean.parseBoolean(sVal[0]); - - System.out.printf("Branch = %d\n", branch); - System.out.printf("Offset = %b\n", offset); - - System.out.println(); - System.out.printf("\t\tZ\t\t\tW(Z)\t\t\t\tRESID\tIFAIL\n"); - System.out.println(); - - while(true){ - line = reader.readLine(); - if(line == null){ - break; - } - sVal = line.split("\\s+"); - - z.setRe(Double.parseDouble(sVal[0])); - z.setIm(Double.parseDouble(sVal[1])); - - ifail = -1; - C05BB c05bb = new C05BB(branch, offset, z, w, resid, ifail); - c05bb.eval(); - - z = (NAGComplex) c05bb.getZ(); - w = (NAGComplex) c05bb.getW(); - resid = c05bb.getRESID(); - ifail = c05bb.getIFAIL(); - - if(ifail < 0){ - break; - } - - System.out.printf("(%.5e, %.5e)\t (%.5e, %.5e)\t %.5e\t %d\n", z.getRe(), z.getIm(), w.getRe(), w.getIm(), resid, ifail); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} diff --git a/simple_examples/source/int32/C05MBJE.java b/simple_examples/source/int32/C05MBJE.java deleted file mode 100644 index 9b46ff5..0000000 --- a/simple_examples/source/int32/C05MBJE.java +++ /dev/null @@ -1,95 +0,0 @@ -import com.nag.routines.C05.C05MB; -import com.nag.routines.F06.DNRM2; -import com.nag.routines.X02.X02AJ; - -/** - * C05MBJ example program text. - * - * @author joed - * @since 27.0.0.0 - * - */ -public class C05MBJE { - - private static final int n = 4; - - private static class FCN extends C05MB.Abstract_C05MB_FCN { - - public void eval() { - - FVEC[0] = Math.cos(X[2]) - X[0]; - FVEC[1] = Math.sqrt(1.0 - Math.pow(X[3],2)) - X[1]; - FVEC[2] = Math.sin(X[0]) - X[2]; - FVEC[3] = Math.pow(X[1], 2) - X[3]; - - // Set iflag negative to terminate execution for any reason - IFLAG = 0; - - return; - - } - - } - - /** - * C05MBJ example main program. - */ - public static void main(String[] args) { - - C05MB c05mb = new C05MB(); - DNRM2 dnrm2 = new DNRM2(); - X02AJ x02aj = new X02AJ(); - FCN fcn = new FCN(); - long cpuser; - double atol, cndtol, fnorm, machpr, rtol; - int astart, i, ifail, m; - double[] fvec, x; - double[] ruser = new double[1]; - int[] iuser = new int[1]; - - System.out.println("C05MBJ Example Program Results\n"); - - // Get machine precision from X02AJ - machpr = (new X02AJ()).eval(); - - fvec = new double[n]; - x = new double[n]; - - // The following starting values provide a rough solution - x = new double[]{2.0, 0.5, 2.0, 0.5}; - - m = 2; - atol = Math.sqrt(machpr); - rtol = Math.sqrt(machpr); - cndtol = 0.0; - astart = 0; - cpuser = 0; - - ifail = -1; - c05mb.eval(fcn, n, x, fvec, atol, rtol, m, cndtol, astart, iuser, ruser, - cpuser, ifail); - ifail = c05mb.getIFAIL(); - - if (ifail == 0 || ifail == 8 || ifail == 9) { - if (ifail == 0) { - // The NAG name equivalent of dnrm2 is f06ej - fnorm = dnrm2.eval(n, fvec, 1); - System.out.println(); - System.out.printf("Final 2-norm of the residuals = %12.4e\n", fnorm); - System.out.println(); - System.out.println("Final approximate solution"); - } - else { - System.out.println(); - System.out.println("Approximate solution"); - } - System.out.println(); - for (i = 1; i <= n; i++) { - System.out.printf("%12.4f", x[i-1]); - } - System.out.printf("\n"); - } - - } - -} diff --git a/simple_examples/source/int32/C05QBJE.java b/simple_examples/source/int32/C05QBJE.java deleted file mode 100644 index 4b93405..0000000 --- a/simple_examples/source/int32/C05QBJE.java +++ /dev/null @@ -1,167 +0,0 @@ -import com.nag.routines.C05.C05QB; -import com.nag.routines.F06.DNRM2; -import com.nag.routines.X02.X02AJ; - -/** - * C05QB example program text. - * @author ludovic - */ -public class C05QBJE { - - public static void main(String[] args) { - - C05QB c05qb = new C05QB(); - - System.out.println(" C05QBJ Example Program Results"); - - int n = 9, ifail = -1; - - double xtol, fnorm; - - int[] IUSER = new int[1]; - double[] fvec = new double[n]; - double[] x = new double[n]; - double[] RUSER = new double[1]; - - - FCN fcn = new FCN(); - - for (int i = 0; i < n; ++i) { - x[i] = -1.0; - } - xtol = Math.sqrt((new X02AJ()).eval()); - - c05qb.eval(fcn, n, x, fvec, xtol, IUSER, RUSER, ifail); - - ifail = c05qb.getIFAIL(); - - switch (ifail) { - case (0): - fnorm = (new DNRM2(n, fvec, 1)).eval(); - System.out.println(); - System.out.printf(" Final 2-norm of the residuals = %11.4E\n", fnorm); - System.out.println(); - System.out.println(" Final approximate solution"); - int count = 0; - for (int i = 0; i < n; ++i) { - System.out.printf(" %12.4f", x[i]); - ++count; - if (count == 3) { - System.out.println(); - count = 0; - } - } - break; - case (2): - case (3): - case (4): - System.out.println("Approximate solution"); - count = 0; - for (int i = 0; i < n; ++i) { - System.out.printf(" %12.4f", x[i]); - ++count; - if (count == 3) { - System.out.println(); - count = 0; - } - } - break; - } - - } - - public static class FCN implements C05QB.C05QB_FCN { - - private int N, IFLAG; - private double[] X, FVEC, RUSER; - private int[] IUSER; - - @Override - public void setN(int N) { - this.N = N; - } - - @Override - public int getN() { - return N; - } - - @Override - public void setX(double[] X) { - this.X = X; - } - - @Override - public double[] getX() { - return X; - } - - @Override - public void setFVEC(double[] FVEC) { - this.FVEC = FVEC; - } - - @Override - public double[] getFVEC() { - return FVEC; - } - - @Override - public void setIUSER(int[] IUSER) { - this.IUSER = IUSER; - } - - @Override - public int[] getIUSER() { - return IUSER; - } - - @Override - public void setRUSER(double[] RUSER) { - this.RUSER = RUSER; - } - - @Override - public double[] getRUSER() { - return RUSER; - } - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void eval(int N, double[] X, double[] FVEC, int[] IUSER, double[] RUSER, int IFLAG) { - - /* - * fvec(1:n) = (3.0_nag_wp-2.0_nag_wp*x(1:n))*x(1:n) + 1.0_nag_wp - * fvec(2:n) = fvec(2:n) - x(1:(n-1)) - * fvec(1:(n-1)) = fvec(1:(n-1)) - 2.0_nag_wp*x(2:n) - */ - for (int i = 0; i < N; ++i) { - FVEC[i] = (3.0 - 2.0 * X[i]) * X[i] + 1.0; - /*if (i >= 1) { - FVEC[i] = FVEC[i] - X[i - 1]; - } - if (i < N - 1) { - FVEC[i] = FVEC[i] - 2.0 * X[i + 1]; - }*/ - } - for (int i = 1; i < N; ++i) { - FVEC[i] = FVEC[i] - X[i - 1]; - } - for (int i = 0; i < N-1; ++i) { - FVEC[i] = FVEC[i] - 2.0 * X[i + 1]; - } - - } - - } - -} diff --git a/simple_examples/source/int32/C06BAJE.java b/simple_examples/source/int32/C06BAJE.java deleted file mode 100644 index 541d4d3..0000000 --- a/simple_examples/source/int32/C06BAJE.java +++ /dev/null @@ -1,56 +0,0 @@ -import com.nag.routines.C06.C06BA; -import com.nag.routines.X01.X01AA; - -/** - * C06BAJ example program text. - * @author willa - */ -public class C06BAJE{ - - public static void main(String[] args){ - int lwork = 16, nout = 6; - int ifail, ncall; - double abserr = 0.0, ans, error, pi = 0.0, r, result = 0.0, seqn, sig; - double[] work; - - C06BA c06ba = new C06BA(); - work = new double[lwork]; - - System.out.println("C06BAJ Example Program Results"); - System.out.println(); - - X01AA x01aa = new X01AA(pi); - pi = x01aa.eval(); - - ans = Math.pow(pi, 2)/12.0; - ncall = 0; - sig = 1.0; - seqn = 0.0; - System.out.println("\t\t\t Estimated\t Actual"); - System.out.println("I\t SEQN \t RESULT\t abs error\t error"); - System.out.println(); - - for(int i = 0; i < 10; i++){ - r = (double) i + 1; - seqn = seqn + sig/Math.pow(r, 2); - - ifail = 0; - c06ba.eval(seqn, ncall, result, abserr, work, lwork, ifail); - - //update variables - ncall = c06ba.getNCALL(); - result = c06ba.getRESULT(); - abserr = c06ba.getABSERR(); - - error = result - ans; - sig = -sig; - - if(i <= 2){ - System.out.printf("%d\t %.4f\t %.4f\t -\t\t %.2e\n", (i + 1), seqn, result, error); - } - else{ - System.out.printf("%d\t %.4f\t %.4f\t %.2e\t %.2e\n", (i + 1), seqn, result, abserr, error); - } - } - } -} diff --git a/simple_examples/source/int32/C06FKJE.java b/simple_examples/source/int32/C06FKJE.java deleted file mode 100644 index 58db62f..0000000 --- a/simple_examples/source/int32/C06FKJE.java +++ /dev/null @@ -1,91 +0,0 @@ -import com.nag.routines.C06.C06FK; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C06FKJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class C06FKJE{ - - /** - * C06FKJE main program - */ - public static void main(String[] args){ - int ifail = 0, n = 0; //placeholder - double[] work, xa, xb, ya, yb; - - work = new double[0]; - xa = new double[0]; - xb = new double[0]; - ya = new double[0]; - yb = new double[0]; //placeholders - - System.out.println("C06FKJ Example Program Results"); - System.out.println(); - - //Supply file path as argument - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //Loop until break... - while(true){ - line = reader.readLine(); - //Break when the end of the file is reached - if(line == null){ - break; - } - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[0]); - - work = new double[n]; - xa = new double[n]; - xb = new double[n]; - ya = new double[n]; - yb = new double[n]; - - for(int i = 0; i < n; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - xa[i] = Double.parseDouble(sVal[0]); - xb[i] = xa[i]; - ya[i] = Double.parseDouble(sVal[1]); - yb[i] = ya[i]; - } - - ifail = 0; - - C06FK c06fk1 = new C06FK(1, xa, ya, n, work, ifail); - c06fk1.eval(); - xa = c06fk1.getX(); - C06FK c06fk2 = new C06FK(2, xb, yb, n, work, ifail); - c06fk2.eval(); - xb = c06fk2.getX(); - - System.out.printf("\tCovolution \tCorrelation\n"); - System.out.println(); - - for(int i = 0; i < n; i++){ - System.out.printf("%d\t%.5f\t\t%.5f\n", i, xa[i], xb[i]); - } - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} diff --git a/simple_examples/source/int32/C09AAJE.java b/simple_examples/source/int32/C09AAJE.java deleted file mode 100644 index 48c38b6..0000000 --- a/simple_examples/source/int32/C09AAJE.java +++ /dev/null @@ -1,158 +0,0 @@ -import com.nag.routines.C09.C09AA; -import com.nag.routines.C09.C09CC; -import com.nag.routines.C09.C09CD; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C09AAJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class C09AAJE{ - - /** - * C09AAJ example main program - */ - public static void main(String[] args){ - int ifail, lenc = 0, n = 0, nf = 0, nnz, nwc = 0, nwlmax = 0, ny; //placeholders - String mode = "", wavnam = "", wtrans; //placeholders - int[] dwtlev, icomm; - double[] c, x, y; - - x = new double[0]; y = new double[0]; //placeholders - - //print error message if no data file given - if(args.length != 1){ - C09AAJE.usage(); - } - - icomm = new int[100]; - - System.out.println("C09AAJ Example Program Results"); - System.out.println(); - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[1]); - - line = reader.readLine(); - sVal = line.split("\\s+"); - wavnam = sVal[1]; - mode = sVal[2]; - - x = new double[n]; - y = new double[n]; - - System.out.printf("Parameters read from file :: \n \tWavelet : %s \tEnd mode : %s \t N = %d\n", wavnam, mode, n); - - System.out.println("Input data \tX : "); - for(int i = 0; i < n; i++){ - line = reader.readLine(); - //Avoid errors with data file format and negative numbers - line = " " + line; - sVal = line.split("\\s+"); - x[i] = Double.parseDouble(sVal[1]); - System.out.printf("%.3f\t", x[i]); - } - System.out.printf("\n"); - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - //Query wavelet filter dimensions - //For Multi-Resolution analysis ,decomposition, wrtrans = 'M' - wtrans = "Multilevel"; - - //ifail: behaviour on error exit - // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft - ifail = 0; - C09AA c09aa = new C09AA(wavnam, wtrans, mode, n, nwlmax, nf, nwc, icomm, ifail); - c09aa.eval(); - - nwc = c09aa.getNWC(); - nwlmax = c09aa.getNWLMAX(); - lenc = nwc; - c = new double[lenc]; - dwtlev = new int[nwlmax + 1]; - - icomm = c09aa.getICOMM(); - ifail = 0; - //Perform discrete wavelet transform - C09CC c09cc = new C09CC(n, x, lenc, c, nwlmax, dwtlev, icomm, ifail); - c09cc.eval(); - - nf = c09aa.getNF(); - nwlmax = c09cc.getNWL(); - dwtlev = c09cc.getDWTLEV(); - c = c09cc.getC(); - - System.out.println(); - System.out.printf("Length of wavelet filter : \t%d\n", nf); - System.out.printf("Number of Levels : \t%d\n", nwlmax); - System.out.printf("Number of coefficients in each level: \n\t\t"); - for(int i = 0; i <= nwlmax; i++){ - System.out.printf("%d\t ", dwtlev[i]); - } - System.out.printf("\n"); - System.out.printf("Total number of wavelength coefficients : %d\n", nwc); - nnz = arraySum(dwtlev); - System.out.println(); - System.out.println("Wavelet coefficients C:"); - for(int i = 0; i < nnz; i++){ - System.out.printf("%.3f ", c[i]); - } - System.out.printf("\n"); - - //Reconstruct original data - ny = n; - - ifail = 0; - lenc = c09cc.getLENC(); - icomm = c09cc.getICOMM(); - C09CD c09cd = new C09CD(nwlmax, lenc, c, ny, y, icomm, ifail); - c09cd.eval(); - - y = c09cd.getY(); - System.out.println(); - System.out.printf("Reconstruction \tY : \n"); - for(int i = 0; i < ny; i++){ - System.out.printf("%.3f ", y[i]); - } - System.out.printf("\n"); - } - - /** - * Finds the sum of all integers in an array - * @param a - * Array to sum - * @return total - */ - private static int arraySum(int[] a){ - int tot = 0; - for(int i = 0; i < a.length; i++){ - tot += a[i]; - } - return tot; - } - - /** - * No arguments supplied when exmaple runs - */ - private static void usage(){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} diff --git a/simple_examples/source/int32/D01BDJE.java b/simple_examples/source/int32/D01BDJE.java deleted file mode 100644 index 8659cc4..0000000 --- a/simple_examples/source/int32/D01BDJE.java +++ /dev/null @@ -1,58 +0,0 @@ -import com.nag.routines.D01.D01BD; - -/** - * D01BD example program text. - */ -public class D01BDJE { - - public static void main(String[] args) { - - double a = 0.0, b = 1.0; - double epsabs = 0.0, epsrel = 0.0001; - double result = Double.NaN; - double abserr = Double.NaN; - FUN fun = new FUN(); - D01BD d01bd = new D01BD(fun, a, b, epsabs, epsrel, result, abserr); - - d01bd.eval(); - result = d01bd.getRESULT(); - abserr = d01bd.getABSERR(); - - System.out.println(" D01BDJ Example Program Results"); - - System.out.println(); - System.out.printf(" A - lower limit of integration = %10.4f\n",a); - System.out.printf(" B - upper limit of integration = %10.4f\n",b); - System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); - System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); - System.out.println(); - System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); - System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); - System.out.println(); - - if (abserr > Math.max(epsabs,epsrel*Math.abs(result))) { - System.out.println("Warning - requested accuracy may not have been achieved"); - } - - } - - - public static class FUN implements D01BD.D01BD_F { - - private double x; - - public double eval(double x) { - return (x * x * Math.sin(10.0 * Math.PI * x)); - } - - public double getX() { - return x; - } - - public void setX(double d) { - x = d; - } - - } - -} diff --git a/simple_examples/source/int32/D01RJJE.java b/simple_examples/source/int32/D01RJJE.java deleted file mode 100644 index 9eee98a..0000000 --- a/simple_examples/source/int32/D01RJJE.java +++ /dev/null @@ -1,184 +0,0 @@ -import com.nag.routines.D01.D01RJ; -import com.nag.routines.X01.X01AA; -import java.util.Arrays; - -/** - * D01RJ example program text. - * @author Mo - */ -public class D01RJJE { - - public static void main(String[] args) { - - double pi = 0.0; - double a, b, epsabs, epsrel; - double result = Double.NaN; - double abserr = Double.NaN; - double[] rinfo, ruser; - int [] iinfo, iuser; - int ifail, liinfo, lrinfo, maxsub; - long cpuser; // c_ptr - F f = new F(); - - /* Header */ - System.out.println(" D01RJJ Example Program Results"); - - X01AA x01aa = new X01AA(pi); - pi = x01aa.eval(); - a = 0.0; - b = 2.0*pi; - epsabs = 0.0; - epsrel = 0.0001; - maxsub = 20; - lrinfo = 4*maxsub; - liinfo = Math.max(maxsub,4); - - rinfo = new double[lrinfo]; - iinfo = new int[liinfo]; - iuser = new int[0]; - ruser = new double[0]; - - iuser = new int[] {0}; - /* pass constant to f through ruser */ - ruser = new double[] {4.0*Math.pow(pi,2)}; - cpuser = 0L; - - D01RJ d01rj = new D01RJ(); - ifail = -1; - d01rj.eval(f, a, b, epsabs, epsrel, maxsub, result, abserr, - rinfo, iinfo, iuser, ruser, cpuser, ifail); - result = d01rj.getRESULT(); - abserr = d01rj.getABSERR(); - ifail = d01rj.getIFAIL(); - - if (ifail >= 0) { - System.out.println(); - System.out.printf(" A - lower limit of integration = %9.4f\n",a); - System.out.printf(" B - upper limit of integration = %9.4f\n",b); - System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); - System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); - System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); - System.out.println(); - if (ifail <= 5) { - System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); - System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); - System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); - System.out.println(); - } - else if (ifail == -1) { - /* User requested exit */ - System.out.printf(" Exit requested from F with IFLAG %4d\n",iuser[0]); - System.out.println(); - } - - } - - } - - public static class F implements D01RJ.D01RJ_F { - - private int NX, IFLAG; - private double[] X, FV, RUSER; - private int[] IUSER; - private long CPUSER; - - @Override - public void setX(double[] X) { - this.X = X; - } - - @Override - public double[] getX() { - return X; - } - - @Override - public void setNX(int NX) { - this.NX = NX; - } - - @Override - public int getNX() { - return NX; - } - - @Override - public void setFV(double[] FV) { - this.FV = FV; - } - - @Override - public double[] getFV() { - return FV; - } - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void setIUSER(int[] IUSER) { - this.IUSER = IUSER; - } - - @Override - public int[] getIUSER() { - return IUSER; - } - - @Override - public void setRUSER(double[] RUSER) { - this.RUSER = RUSER; - } - - @Override - public double[] getRUSER() { - return RUSER; - } - - @Override - public void setCPUSER(long CPUSER) { - this.CPUSER = CPUSER; - } - - @Override - public long getCPUSER() { - return CPUSER; - } - - @Override - public void eval(double[] X, int NX, double[] FV, int IFLAG, - int[] IUSER, double[] RUSER, long CPUSER) { - - for (int i = 0; i < NX; i++) { - FV[i] = 0.0; - } - - for (int i = 0; i < NX; i++) { - if (X[i] == 1.0) { - /* An undefined result will be generated. */ - /* Set iflag to force an immediate exit */ - IFLAG = -1; - /* Store chosen value of iflag in iuser */ - IUSER[0] = IFLAG; - } - } - if (IFLAG != -1) { - for (int j = 0; j < NX; j++) { - FV[j] = X[j] * Math.sin(30.0 * X[j])/ - Math.sqrt(1.0 - Math.pow(X[j],2)/RUSER[0]); - } - } - return; - - } - - } - -} diff --git a/simple_examples/source/int32/D01RKJE.java b/simple_examples/source/int32/D01RKJE.java deleted file mode 100644 index 20c0501..0000000 --- a/simple_examples/source/int32/D01RKJE.java +++ /dev/null @@ -1,173 +0,0 @@ -import com.nag.routines.D01.D01RK; -import com.nag.routines.X01.X01AA; -import java.util.Arrays; - -/** - * D01RK example program text. - * @author Mo - */ -public class D01RKJE { - - public static void main(String[] args) { - - double pi = 0.0; - double a, b, epsabs, epsrel; - double result = Double.NaN; - double abserr = Double.NaN; - double[] rinfo, ruser; - int [] iinfo, iuser; - int ifail, key, liinfo, lrinfo, maxsub; - long cpuser; // c_ptr - F f = new F(); - - /* Header */ - System.out.println(" D01RKJ Example Program Results"); - - key = 6; - X01AA x01aa = new X01AA(pi); - pi = x01aa.eval(); - a = 0.0; - b = 2.0*pi; - epsabs = 0.0; - epsrel = 0.0001; - maxsub = 20; - lrinfo = 4*maxsub; - liinfo = Math.max(maxsub,4); - - rinfo = new double[lrinfo]; - iinfo = new int[liinfo]; - iuser = new int[0]; - ruser = new double[0]; - - iuser = new int[] {0}; - ruser = new double[] {4.0*Math.pow(pi,2)}; - cpuser = 0L; - - D01RK d01rk = new D01RK(); - ifail = -1; - d01rk.eval(f, a, b, key, epsabs, epsrel, maxsub, result, abserr, - rinfo, iinfo, iuser, ruser, cpuser, ifail); - result = d01rk.getRESULT(); - abserr = d01rk.getABSERR(); - ifail = d01rk.getIFAIL(); - - if (ifail >= 0) { - System.out.println(); - System.out.printf(" A - lower limit of integration = %9.4f\n",a); - System.out.printf(" B - upper limit of integration = %9.4f\n",b); - System.out.printf(" KEY - choice of Gaussian rule = %4d\n",key); - System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); - System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); - System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); - System.out.println(); - if (ifail <= 5) { - System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); - System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); - System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); - System.out.println(); - } - else if (ifail == -1) { - /* User requested exit */ - System.out.printf(" Exit requested from F \n"); - System.out.println(); - } - - } - - } - - public static class F implements D01RK.D01RK_F { - - private int NX, IFLAG; - private double[] X, FV, RUSER; - private int[] IUSER; - private long CPUSER; - - @Override - public void setX(double[] X) { - this.X = X; - } - - @Override - public double[] getX() { - return X; - } - - @Override - public void setNX(int NX) { - this.NX = NX; - } - - @Override - public int getNX() { - return NX; - } - - @Override - public void setFV(double[] FV) { - this.FV = FV; - } - - @Override - public double[] getFV() { - return FV; - } - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void setIUSER(int[] IUSER) { - this.IUSER = IUSER; - } - - @Override - public int[] getIUSER() { - return IUSER; - } - - @Override - public void setRUSER(double[] RUSER) { - this.RUSER = RUSER; - } - - @Override - public double[] getRUSER() { - return RUSER; - } - - @Override - public void setCPUSER(long CPUSER) { - this.CPUSER = CPUSER; - } - - @Override - public long getCPUSER() { - return CPUSER; - } - - @Override - public void eval(double[] X, int NX, double[] FV, int IFLAG, - int[] IUSER, double[] RUSER, long CPUSER) { - - for (int i = 0; i < NX; i++) { - FV[i] = 0.0; - } - - for (int j = 0; j < NX; j++) { - FV[j] = X[j] * Math.sin(30.0 * X[j]) * Math.cos(X[j]); - } - return; - - } - - } - -} diff --git a/simple_examples/source/int32/D01RLJE.java b/simple_examples/source/int32/D01RLJE.java deleted file mode 100644 index c8a6d0e..0000000 --- a/simple_examples/source/int32/D01RLJE.java +++ /dev/null @@ -1,196 +0,0 @@ -import com.nag.routines.D01.D01RL; -import java.util.Arrays; - -/** - * D01RL example program text. - * @author Mo - */ -public class D01RLJE { - - public static void main(String[] args) { - - double a, b, epsabs, epsrel; - double result = Double.NaN; - double abserr = Double.NaN; - double[] points, rinfo, ruser; - int [] iinfo, iuser; - int ifail, liinfo, lrinfo, maxsub, npts; - long cpuser; // c_ptr - F f = new F(); - - /* Header */ - System.out.println(" D01RLJ Example Program Results"); - - epsabs = 0.0; - epsrel = 0.0001; - a = 0.0; - b = 1.0; - npts = 1; - maxsub = 20; - liinfo = 2*Math.max(maxsub,npts) + npts + 4; - lrinfo = 4*Math.max(maxsub,npts) + npts + 6; - - points = new double[npts]; - rinfo = new double[lrinfo]; - iinfo = new int[liinfo]; - iuser = new int[0]; - ruser = new double[21]; - - points[0] = 1.0/7.0; - iuser = new int[] {0}; - ruser = new double[] {0.0}; - cpuser = 0L; - - D01RL d01rl = new D01RL(); - ifail = -1; - d01rl.eval(f, a, b, npts, points, epsabs, epsrel, maxsub, result, abserr, - rinfo, iinfo, iuser, ruser, cpuser, ifail); - points = d01rl.getPOINTS(); - result = d01rl.getRESULT(); - abserr = d01rl.getABSERR(); - ifail = d01rl.getIFAIL(); - - if (ifail >= 0) { - System.out.println(); - System.out.printf(" A - lower limit of integration = %9.4f\n",a); - System.out.printf(" B - upper limit of integration = %9.4f\n",b); - System.out.printf(" POINT(1) - given break-point = %9.4f\n",points[0]); - System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); - System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); - System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); - System.out.println(); - if (ifail <= 5) { - System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); - System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); - System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); - System.out.println(); - } - else if (ifail == -1) { - /* User requested exit */ - System.out.printf(" Exit requested from F"); - System.out.println(); - } - - } - - } - - public static class F implements D01RL.D01RL_F { - - private int NX, IFLAG; - private double[] X, FV, RUSER; - private int[] IUSER; - private long CPUSER; - - @Override - public void setX(double[] X) { - this.X = X; - } - - @Override - public double[] getX() { - return X; - } - - @Override - public void setNX(int NX) { - this.NX = NX; - } - - @Override - public int getNX() { - return NX; - } - - @Override - public void setFV(double[] FV) { - this.FV = FV; - } - - @Override - public double[] getFV() { - return FV; - } - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void setIUSER(int[] IUSER) { - this.IUSER = IUSER; - } - - @Override - public int[] getIUSER() { - return IUSER; - } - - @Override - public void setRUSER(double[] RUSER) { - this.RUSER = RUSER; - } - - @Override - public double[] getRUSER() { - return RUSER; - } - - @Override - public void setCPUSER(long CPUSER) { - this.CPUSER = CPUSER; - } - - @Override - public long getCPUSER() { - return CPUSER; - } - - @Override - public void eval(double[] X, int NX, double[] FV, int IFLAG, - int[] IUSER, double[] RUSER, long CPUSER) { - - /*for (int i = 0; i < NX; i++) {*/ - /*FV[i] = 0.0;*/ - /*}*/ - - for (int i = 0; i < NX; i++) { - FV[i] = Math.abs(X[i] - 1.0/7.0); - } - - for (int i = 0; i < NX; i++) { - if (FV[i] == 0.0) { - /* A singular point will be hit. */ - /* Record offending abscissae and abort computation. */ - IFLAG = 0; - for (int k = 0; k < NX; k++) { - if (FV[k] == 0.0) { - IFLAG = IFLAG + 1; - RUSER[IFLAG-1] = X[k]; - } - } - /* Store value of iflag in iuser */ - IUSER[0] = IFLAG; - /* signal abort by setting iflag<0 */ - IFLAG = -IFLAG; - } - } - if (IFLAG == 0) { - /* Safe to evaluate. */ - for (int j = 0; j < NX; j++) { - FV[j] = 1.0/Math.sqrt(FV[j]); - } - } - return; - - } - - } - -} diff --git a/simple_examples/source/int32/D01RMJE.java b/simple_examples/source/int32/D01RMJE.java deleted file mode 100644 index 6e80b2b..0000000 --- a/simple_examples/source/int32/D01RMJE.java +++ /dev/null @@ -1,163 +0,0 @@ -import com.nag.routines.D01.D01RM; -import java.util.Arrays; - -/** - * D01RM example program text. - * @author Mo - */ -public class D01RMJE { - - public static void main(String[] args) { - - double bound, epsabs, epsrel; - double result = Double.NaN; - double abserr = Double.NaN; - double[] rinfo, ruser; - int [] iinfo, iuser; - int ifail, inf, liinfo, lrinfo, maxsub; - long cpuser; // c_ptr - F f = new F(); - - /* Header */ - System.out.println(" D01RMJ Example Program Results"); - - bound = 0.0; - inf = 1; - epsabs = 0.0; - epsrel = 0.0001; - maxsub = 20; - lrinfo = 4*maxsub; - liinfo = Math.max(maxsub,4); - - rinfo = new double[lrinfo]; - iinfo = new int[liinfo]; - iuser = new int[0]; - ruser = new double[0]; - - iuser = new int[] {0}; - ruser = new double[] {0.0}; - cpuser = 0L; - - D01RM d01rm = new D01RM(); - ifail = -1; - d01rm.eval(f, bound, inf, epsabs, epsrel, maxsub, result, abserr, - rinfo, iinfo, iuser, ruser, cpuser, ifail); - result = d01rm.getRESULT(); - abserr = d01rm.getABSERR(); - ifail = d01rm.getIFAIL(); - - if (ifail >= 0) { - System.out.println(); - System.out.printf(" A - lower limit of integration = %9.4f\n",bound); - System.out.println(" B - upper limit of integration = infinity\n"); - System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); - System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); - System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); - System.out.println(); - if (ifail <= 5) { - System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); - System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); - System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); - System.out.println(); - } - else if (ifail == -1) { - /* User requested exit */ - System.out.printf(" Exit requested from F \n"); - System.out.println(); - } - - } - - } - - public static class F implements D01RM.D01RM_F { - - private int NX, IFLAG; - private double[] X, FV, RUSER; - private int[] IUSER; - private long CPUSER; - - @Override - public void setX(double[] X) { - this.X = X; - } - - @Override - public double[] getX() { - return X; - } - - @Override - public void setNX(int NX) { - this.NX = NX; - } - - @Override - public int getNX() { - return NX; - } - - @Override - public void setFV(double[] FV) { - this.FV = FV; - } - - @Override - public double[] getFV() { - return FV; - } - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void setIUSER(int[] IUSER) { - this.IUSER = IUSER; - } - - @Override - public int[] getIUSER() { - return IUSER; - } - - @Override - public void setRUSER(double[] RUSER) { - this.RUSER = RUSER; - } - - @Override - public double[] getRUSER() { - return RUSER; - } - - @Override - public void setCPUSER(long CPUSER) { - this.CPUSER = CPUSER; - } - - @Override - public long getCPUSER() { - return CPUSER; - } - - @Override - public void eval(double[] X, int NX, double[] FV, int IFLAG, - int[] IUSER, double[] RUSER, long CPUSER) { - - for (int j = 0; j < NX; j++) { - FV[j] = 1.0/((X[j] + 1.0) * Math.sqrt(X[j])); - } - return; - - } - - } - -} diff --git a/simple_examples/source/int32/D01TCJE.java b/simple_examples/source/int32/D01TCJE.java deleted file mode 100644 index cde8428..0000000 --- a/simple_examples/source/int32/D01TCJE.java +++ /dev/null @@ -1,45 +0,0 @@ -import com.nag.routines.D01.D01TC; -import java.util.Arrays; - -/** - * D01TC example program text. - * @author Mo - */ -public class D01TCJE { - - public static void main(String[] args) { - - double a, b, c, d; - double[] abscis, weight; - int n, ifail, itype; - - /* Header */ - System.out.println(" D01TCJ Example Program Results"); - - n = 7; - a = 0.0; - b = 1.0; - c = 0.0; - d = 0.0; - itype = -3; - - abscis = new double[n]; - weight = new double[n]; - - D01TC d01tc = new D01TC(); - ifail = 0; - d01tc.eval(itype, a, b, c, d, n, weight, abscis, ifail); - abscis= d01tc.getABSCIS(); - weight = d01tc.getWEIGHT(); - - System.out.println(); - System.out.printf(" Laguerre formula, %2d points\n",n); - System.out.println(); - System.out.println(" Abscissae Weights\n"); - for (int j = 0; j < n; j++) { - System.out.printf("%15.5E %15.5E\n", abscis[j], weight[j]); - } - - } - -} diff --git a/simple_examples/source/int32/D02NEJE.java b/simple_examples/source/int32/D02NEJE.java deleted file mode 100644 index 34a5b25..0000000 --- a/simple_examples/source/int32/D02NEJE.java +++ /dev/null @@ -1,388 +0,0 @@ -import com.nag.routines.D02.D02MC; -import com.nag.routines.D02.D02MW; -import com.nag.routines.D02.D02NE; -import com.nag.routines.D02.D02NEZ; -import com.nag.routines.D02.D02NP; -import java.util.Arrays; - -/** - * D02NE example program text. - * @author joed - */ -public class D02NEJE { - - public static final double ALPHA = 0.04; - public static final double BETA = 1.0E4; - public static final double GAMMA = 3.0E7; - public static final int ML = 1; - public static final int MU = 2; - public static final int NEQ1 = 3; - public static final int NEQ2 = 1; - - public static JAC1 jac1 = new JAC1(); - public static JAC2 jac2 = new JAC2(); - public static RES1 res1 = new RES1(); - public static RES2 res2 = new RES2(); - - public static void main(String[] args) { - - System.out.println(" D02NEJ Example Program Results"); - - ex1(); - ex2(); - - } - - private static void ex1() { - - D02MC d02mc = new D02MC(); - D02MW d02mw = new D02MW(); - D02NE d02ne = new D02NE(); - D02NP d02np = new D02NP(); - double h0, hmax, t, tout; - int ifail, ijac, itask, itol, lcom, licom, maxord, neq; - String jceval; // length 8 - double[] atol, com, rtol, y, ydot, ruser; - int[] icom, iuser; - - ruser = new double[1]; - iuser = new int[3]; - - System.out.println(); - System.out.println(" D02NEF Example 1"); - System.out.println(); - - maxord = 5; - - neq = NEQ1; - lcom = 40 + (maxord + 4) * neq + (2 * ML + MU + 1) * neq - + 2 * (neq / (ML + MU + 1) + 1); - licom = 50 + neq; - - atol = new double[neq]; - com = new double[lcom]; - rtol = new double[neq]; - y = new double[neq]; - ydot = new double[neq]; - icom = new int[licom]; - - ijac = 1; - itol = 1; - Arrays.fill(rtol, 1.0E-3); - Arrays.fill(atol, 1.0E-6); - Arrays.fill(ydot, 0.0); - - // String length = 8 - jceval = (ijac == 1) ? "Analytic" : "Numeric "; - - // Set initial values - y[0] = 1.0; - y[1] = 0.0; - y[2] = 0.0; - - // Initialize the problem, specifying that the Jacobian is to be - // evaluated analytically using the provided routine jac. - hmax = 0.0; - h0 = 0.0; - t = 0.0; - tout = 0.02; - ifail = 0; - d02mw.eval( - neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail - ); - ifail = d02mw.getIFAIL(); - - // Specify that the Jacobian is banded. - ifail = 0; - d02np.eval(neq, ML, MU, icom, licom, ifail); - ifail = d02np.getIFAIL(); - - // Use the iuser array to pass the band dimensions through to jac. - // An alternative would be to hard code values for ml and mu in jac. - iuser[0] = ML; - iuser[1] = MU; - iuser[2] = ijac; - - System.out.printf(" t "); - for (int i = 1; i <= neq; i++) { - System.out.printf(" Y(%1d) ", i); - } - System.out.println(); - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - itask = 0; - - // Obtain the solution at 5 equally spaced values of T. - for (int j = 0; j < 5; j++) { - ifail = -1; - d02ne.eval( - neq, t, tout, y, ydot, rtol, atol, itask, res1, jac1, icom, - com, lcom, iuser, ruser, ifail - ); - itask = d02ne.getITASK(); - ifail = d02ne.getIFAIL(); - t = d02ne.getT(); - - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - if (ifail != 0) { - System.out.printf( - " ** D02NEF returned with IFAIL = %5d\n", ifail - ); - break; - } - - tout += 0.02; - d02mc.eval(icom); - - } - - System.out.println(); - System.out.printf( - " The integrator completed task, ITASK = %4d\n", itask - ); - - } - - private static void ex2() { - D02MC d02mc = new D02MC(); - D02MW d02mw = new D02MW(); - D02NE d02ne = new D02NE(); - double h0, hmax, t, tout; - int ifail, ijac, itask, itol, lcom, licom, maxord, neq; - String jceval; // length 8 - double[] atol, com, rtol, y, ydot, ruser; - int[] icom, iuser; - - ruser = new double[1]; - iuser = new int[1]; - - System.out.println(); - System.out.println(" D02NEF Example 2"); - System.out.println(); - - maxord = 5; - neq = NEQ2; - lcom = 40 + (maxord + 4) * neq + neq * neq; - licom = 50 + neq; - - atol = new double[neq]; - com = new double[lcom]; - rtol = new double[neq]; - y = new double[neq]; - ydot = new double[neq]; - icom = new int[licom]; - - ijac = 1; - itol = 1; - rtol[0] = 0.0; - atol[0] = 1.0E-8; - ydot[0] = 0.0; - - // String length = 8 - jceval = (ijac == 1) ? "Analytic" : "Numeric "; - - // Initialize the problem, specifying that the Jacobian is to be - // evaluated analytically using the provided routine jac. - y[0] = 2.0; - hmax = 0.0; - h0 = 0.0; - t = 0.0; - tout = 0.2; - - ifail = 0; - d02mw.eval( - neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail - ); - ifail = d02mw.getIFAIL(); - - // Use the iuser array to pass whether numerical or analytic Jacobian - // is to be used. - iuser[0] = ijac; - - System.out.printf(" t "); - for (int i = 1; i <= neq; i++) { - System.out.printf(" y(%1d) ", i); - } - System.out.println(); - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - itask = 0; - - for (int j = 0; j < 5; j++) { - ifail = -1; - d02ne.eval( - neq, t, tout, y, ydot, rtol, atol, itask, res2, jac2, icom, - com, lcom, iuser, ruser, ifail - ); - itask = d02ne.getITASK(); - ifail = d02ne.getIFAIL(); - t = d02ne.getT(); - - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - if (ifail != 0) { - System.out.printf( - " ** D02NEF returned with IFAIL = %5d\n", ifail - ); - break; - } - - tout += 0.2; - d02mc.eval(icom); - - } - - System.out.println(); - System.out.printf( - " The integrator completed task, ITASK = %4d\n", itask - ); - - } - - /** - * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based - * Java index. - * - *

    Fortran array definition: - * a(dimX, *) - * - *

    Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return ((y-1) * dimX) + (x-1); - } - - public static class RES1 extends D02NE.Abstract_D02NE_RES { - - public void eval() { - - this.R[0] = -(ALPHA * this.Y[0]) + (BETA * this.Y[1] * this.Y[2]) - - this.YDOT[0]; - this.R[1] = (ALPHA * this.Y[0]) - (BETA * this.Y[1] * this.Y[2]) - - (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[1]; - this.R[2] = (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[2]; - - } - - } - - public static class JAC1 extends D02NE.Abstract_D02NE_JAC { - - private double[] myjac1( - int neq, int ml, int mu, double t, double[] y, double[] ydot, - double[] pd, double cj - ) { - - int md, ms, pdDim1; - - pdDim1 = (2 * ml) + mu + 1; - - // Main diagonal pdfull(i,i), i=1, neq - md = mu + ml + 1; - pd[getIdx(md, 1, pdDim1)] = -ALPHA - cj; - pd[getIdx(md, 2, pdDim1)] = (-BETA * y[2]) - (2.0 * GAMMA * y[1]) - - cj; - pd[getIdx(md, 3, pdDim1)] = -cj; - - // 1 subdiagonal pdfull(i-1,i), i=2, neq - ms = md + 1; - pd[getIdx(ms, 1, pdDim1)] = ALPHA; - pd[getIdx(ms, 2, pdDim1)] = 2.0 * GAMMA * y[1]; - - // First superdiagonal pdfull(i-1,i), i=2, neq - ms = md - 1; - pd[getIdx(ms, 2, pdDim1)] = BETA * y[2]; - pd[getIdx(ms, 3, pdDim1)] = -BETA * y[1]; - - // Second superdiagonal pdfull(i-2,i), i=3, neq - ms = md - 2; - pd[getIdx(ms, 3, pdDim1)] = BETA * y[1]; - - return pd; - - } - - public void eval() { - D02NEZ d02nez = new D02NEZ(); - int ijac, ml, mu; - - ml = this.IUSER[0]; - mu = this.IUSER[1]; - ijac = this.IUSER[2]; - - if (ijac == 1) { - myjac1( - this.NEQ, ml, mu, this.T, this.Y, this.YDOT, this.PD, - this.CJ - ); - } - else { - d02nez.eval( - this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, - this.IUSER, this.RUSER - ); - } - - } - - } - - public static class RES2 extends D02NE.Abstract_D02NE_RES { - - public void eval() { - this.R[0] = 4.0 - Math.pow(this.Y[0], 2.0) - + (this.T * 0.1E0 * Math.exp(this.Y[0])); - } - - } - - public static class JAC2 extends D02NE.Abstract_D02NE_JAC { - - private void myjac2( - int neq, double t, double[] y, double[] ydot, double[] pd, - double cj - ) { - - pd[0] = -(2.0 * y[0]) + (0.1E0 * t * y[0] * Math.exp(y[0])); - - } - - public void eval() { - D02NEZ d02nez = new D02NEZ(); - int ijac; - - ijac = this.IUSER[0]; - - if (ijac == 1) { - myjac2(this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ); - } - else { - d02nez.eval( - this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, - this.IUSER, this.RUSER - ); - } - - } - - } - -} diff --git a/simple_examples/source/int32/D02TLJE.java b/simple_examples/source/int32/D02TLJE.java deleted file mode 100644 index 601b3ce..0000000 --- a/simple_examples/source/int32/D02TLJE.java +++ /dev/null @@ -1,290 +0,0 @@ -import com.nag.routines.D02.D02TL; -import com.nag.routines.D02.D02TV; -import com.nag.routines.D02.D02TX; -import com.nag.routines.D02.D02TY; -import com.nag.routines.D02.D02TZ; -import java.util.Arrays; - -/** - * D02TL example program text. - * @author joed - */ -public class D02TLJE { - - public static final int MMAX = 3, NEQ = 3, NLBC = 3, NRBC = 3; - - public static double omega, sqrofr; - public static int[] m = {1, 3, 2}; - - public static FFUN ffun = new FFUN(); - public static FJAC fjac = new FJAC(); - public static GAFUN gafun = new GAFUN(); - public static GAJAC gajac = new GAJAC(); - public static GBFUN gbfun = new GBFUN(); - public static GBJAC gbjac = new GBJAC(); - public static GUESS guess = new GUESS(); - - public static void main(String[] args) { - - D02TL d02tl = new D02TL(); - D02TV d02tv = new D02TV(); - D02TX d02tx = new D02TX(); - D02TY d02ty = new D02TY(); - D02TZ d02tz = new D02TZ(); - double dx, ermx, r; - int iermx, ifail, ijermx, licomm, lrcomm, mxmesh, ncol, ncont, - nmesh; - double[] mesh, rcomm, tol, y, ruser = new double[1]; - int[] icomm, ipmesh, iuser = new int[2]; - - System.out.println(" D02TLJ Example Program Results"); - System.out.println(); - - ncol = 7; - nmesh = 11; - mxmesh = 51; - - mesh = new double[mxmesh]; - tol = new double[NEQ]; - y = new double[NEQ * MMAX]; - ipmesh = new int[mxmesh]; - - omega = 1.0; - Arrays.fill(tol, 1.0E-4); - - dx = 1.0 / ((double) nmesh - 1); - - mesh[0] = 0.0; - for (int i = 1; i < nmesh - 1; i++) { - mesh[i] = mesh[i - 1] + dx; - } - mesh[nmesh - 1] = 1.0; - - ipmesh[0] = 1; - Arrays.fill(ipmesh, 1, nmesh - 1, 2); - ipmesh[nmesh - 1] = 1; - - // Workspace query to get size of rcomm and icomm - ifail = 0; - d02tv.eval( - NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, ruser, - 0, iuser, 2, ifail - ); - ifail = d02tv.getIFAIL(); - lrcomm = iuser[0]; - licomm = iuser[1]; - rcomm = new double[lrcomm]; - icomm = new int[licomm]; - - // Initialise integrator for given problem - ifail = 0; - d02tv.eval( - NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, rcomm, - lrcomm, icomm, licomm, ifail - ); - ifail = d02tv.getIFAIL(); - - ncont = 3; - r = 1.0E6; - - sqrofr = Math.sqrt(r); - - ermx = 0.0; - iermx = 0; - ijermx = 0; - - for (int j = 0; j < ncont; j++) { - System.out.printf("\n Tolerance = %8.1E R = %10.3E\n", tol[0], r); - - // Solve problem - ifail = -1; - d02tl.eval( - ffun, fjac, gafun, gbfun, gajac, gbjac, guess, rcomm, icomm, - iuser, ruser, ifail - ); - ifail = d02tl.getIFAIL(); - if (ifail != 0) { - System.err.println("D02TL failed with error code " + ifail); - } - - // Extract mesh - ifail = -1; - d02tz.eval( - mxmesh, nmesh, mesh, ipmesh, ermx, iermx, ijermx, rcomm, icomm, - ifail - ); - nmesh = d02tz.getNMESH(); - iermx = d02tz.getIERMX(); - ijermx = d02tz.getIJERMX(); - ermx = d02tz.getERMX(); - ifail = d02tz.getIFAIL(); - if (ifail == 1) { - break; - } - - // Print mesh, error stats - System.out.printf( - "\n" - + " Used a mesh of %4d points\n" - + " Maximum error = %10.2E in interval %4d for component %4d\n" - + "\n", - nmesh, ermx, iermx, ijermx - ); - System.out.printf("\n Mesh points:\n"); - for (int i = 0; i < nmesh; i++) { - System.out.printf("%4d(%1d)%10.3E", i+1, ipmesh[i], mesh[i]); - if ((i+1) % 4 == 0) { - System.out.printf("\n"); - } - } - System.out.printf("\n"); - - // Print solution components on mesh - System.out.printf("\n x f f\' g\n"); - for (int i = 0; i < nmesh; i++) { - ifail = 0; - d02ty.eval(mesh[i], y, NEQ, MMAX, rcomm, icomm, ifail); - ifail = d02ty.getIFAIL(); - System.out.printf( - " %8.3f %9.4f%9.4f%9.4f\n", mesh[i], y[getIdx(1, 0, NEQ)], - y[getIdx(2, 0, NEQ)], y[getIdx(3, 0, NEQ)] - ); - } - - if (j == ncont - 1) { - break; - } - - // Modify continuation parameter - r = 100.0 * r; - sqrofr = Math.sqrt(r); - - // Select mesh for continuation - Arrays.fill(ipmesh, 1, nmesh - 1, 2); - - // Call continuation primer routine - ifail = 0; - d02tx.eval(mxmesh, nmesh, mesh, ipmesh, rcomm, icomm, ifail); - mxmesh = d02tx.getMXMESH(); - nmesh = d02tx.getNMESH(); - ifail = d02tx.getIFAIL(); - - } - - } - - /** - * Converts a 2D Fortran index to the 1D index for its corresponding Java - * array. Assumes y is already zero-based. - * - *

    Fortran array definition: - * a(dimX, 0:*) - * - *

    Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return (y * dimX) + (x-1); - } - - /** - * Converts a 3D Fortran index to the 1D index for its corresponding Java - * array. Assumes z is already zero-based. - * - *

    Fortran array definition: - * a(dimX, dimY, 0:*) - * - *

    Conversion: - * a(x, y, z) --> A[result] - */ - private static int getIdx(int x, int y, int z, int dimX, int dimY) { - return (z * dimY * dimX) + ((y-1) * dimX) + (x-1); - } - - public static class FFUN extends D02TL.Abstract_D02TL_FFUN { - - public void eval() { - F[0] = Y[getIdx(2, 0, NEQ)]; - F[1] = -((Y[getIdx(1, 0, NEQ)] * Y[getIdx(2, 2, NEQ)]) - + (Y[getIdx(3, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; - F[2] = ((Y[getIdx(2, 0, NEQ)] * Y[getIdx(3, 0, NEQ)]) - - (Y[getIdx(1, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; - } - - } - - public static class FJAC extends D02TL.Abstract_D02TL_FJAC { - - public void eval() { - DFDY[getIdx(1, 2, 0, NEQ, NEQ)] = 1.0; - DFDY[getIdx(2, 1, 0, NEQ, NEQ)] = -Y[getIdx(2, 2, NEQ)] * sqrofr; - DFDY[getIdx(2, 2, 2, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; - DFDY[getIdx(2, 3, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; - DFDY[getIdx(2, 3, 1, NEQ, NEQ)] = -Y[getIdx(3, 0, NEQ)] * sqrofr; - DFDY[getIdx(3, 1, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; - DFDY[getIdx(3, 2, 0, NEQ, NEQ)] = Y[getIdx(3, 0, NEQ)] * sqrofr; - DFDY[getIdx(3, 3, 0, NEQ, NEQ)] = Y[getIdx(2, 0, NEQ)] * sqrofr; - DFDY[getIdx(3, 3, 1, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; - } - - } - - public static class GAFUN extends D02TL.Abstract_D02TL_GAFUN { - - public void eval() { - GA[0] = YA[getIdx(1, 0, NEQ)]; - GA[1] = YA[getIdx(2, 0, NEQ)]; - GA[2] = YA[getIdx(3, 0, NEQ)] - omega; - } - - } - - public static class GBFUN extends D02TL.Abstract_D02TL_GBFUN { - - public void eval() { - GB[0] = YB[getIdx(1, 0, NEQ)]; - GB[1] = YB[getIdx(2, 0, NEQ)]; - GB[2] = YB[getIdx(3, 0, NEQ)] + omega; - } - - } - - public static class GAJAC extends D02TL.Abstract_D02TL_GAJAC { - - public void eval() { - DGADY[getIdx(1, 1, 0, NLBC, NEQ)] = 1.0; - DGADY[getIdx(2, 2, 0, NLBC, NEQ)] = 1.0; - DGADY[getIdx(3, 3, 0, NLBC, NEQ)] = 1.0; - } - - } - - public static class GBJAC extends D02TL.Abstract_D02TL_GBJAC { - - public void eval() { - DGBDY[getIdx(1, 1, 0, NRBC, NEQ)] = 1.0; - DGBDY[getIdx(2, 2, 0, NRBC, NEQ)] = 1.0; - DGBDY[getIdx(3, 3, 0, NRBC, NEQ)] = 1.0; - } - - } - - public static class GUESS extends D02TL.Abstract_D02TL_GUESS { - - public void eval() { - Y[getIdx(1, 0, NEQ)] = -(X - 0.5) * Math.pow(X * (X - 1.0), 2.0); - Y[getIdx(2, 0, NEQ)] = -X * (X - 1.0) - * (5.0 * X * (X - 1.0) + 1.0); - Y[getIdx(2, 1, NEQ)] = -(2.0 * X - 1.0) - * (10.0 * X * (X - 1.0) + 1.0); - Y[getIdx(2, 2, NEQ)] = -12.0 * (5.0 * X * (X - 1.0) + 1.0); - Y[getIdx(3, 0, NEQ)] = -8.0 * omega * Math.pow(X - 0.5, 3.0); - Y[getIdx(3, 1, NEQ)] = -24.0 * omega * Math.pow(X - 0.5, 2.0); - DYM[0] = Y[getIdx(2, 0, NEQ)]; - DYM[1] = -120.0 * (X - 0.5); - DYM[2] = -56.0 * omega * (X - 0.5); - } - - } - -} diff --git a/simple_examples/source/int32/D03PCJE.java b/simple_examples/source/int32/D03PCJE.java deleted file mode 100644 index 4901e2e..0000000 --- a/simple_examples/source/int32/D03PCJE.java +++ /dev/null @@ -1,217 +0,0 @@ -import com.nag.routines.D03.D03PC; -import com.nag.routines.D03.D03PZ; -import com.nag.routines.X01.X01AA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.lang.StringBuilder; - -/** - * D03PCJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class D03PCJE{ - - /** - * D03PCJE main program - */ - public static void main(String[] args){ - int ifail, ind, intpts = 0, it, itask, itrace = 0, itype = 0, lisave, lrsave, m = 0, neqn, npts = 0, nwk, npde = 2; - double hx, pi, piby2, tout = 0, ts = 0, acc = 0, alpha = 0; - int[] isave, iuser, iwsav; - double[] rsave, u, uout, x, xout, ruser, rwsav; - boolean[] lwsav; - String[] cwsav; - - xout = new double[0]; // placeholders - ruser = new double[1]; - rwsav = new double[1100]; - iuser = new int[1]; - iwsav = new int[505]; - lwsav = new boolean[100]; - cwsav = new String[10]; - - System.out.println("D03PCJ Example Program Results"); - - //Specify path to data file - if(args.length != 1){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - intpts = Integer.parseInt(sVal[0]); - npts = Integer.parseInt(sVal[1]); - itype = Integer.parseInt(sVal[2]); - - xout = new double[intpts]; - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int i = 0; i < intpts; i++){ - xout[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.split("\\s+"); - acc = Double.parseDouble(sVal[0]); - alpha = Double.parseDouble(sVal[1]); - - line = reader.readLine(); - sVal = line.split("\\s+"); - m = Integer.parseInt(sVal[0]); - itrace = Integer.parseInt(sVal[1]); - - line = reader.readLine(); - sVal = line.split("\\s+"); - ts = Double.parseDouble(sVal[0]); - tout = Double.parseDouble(sVal[1]); - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - neqn = npde * npts; - lisave = neqn + 24; - nwk = (10 + (6 * npde)) * neqn; - lrsave = nwk + ((21 + (3 * npde)) * npde) + (7 * npts) + 54; - - rsave = new double[lrsave]; - u = new double[npde * npts]; - uout = new double[npde * intpts * itype]; - x = new double[npts]; - isave = new int[lisave]; - ruser[0] = alpha; - ind = 0; - itask = 1; - - X01AA x01aa = new X01AA(); - pi = x01aa.eval(); - piby2 = 0.5 * pi; - hx = piby2/(double)(npts - 1); - x[0] = 0.0; - x[npts - 1] = 1.0; - for(int i = 1; i < (npts - 1); i++){ - x[i] = Math.sin(hx * (double)(i)); - } - - u = uinit(x, npts, iuser, ruser); - - //Character (80) :: cwsav(10) - //Surely a better way of doing this? - for(int i = 0; i < 10; i++){ - StringBuilder builder = new StringBuilder(""); - for(int j = 0; j < 80; j++){ - builder.append(" "); - } - cwsav[i] = builder.toString(); - } - - for(int i = 0; i <5; i++){ - tout = 10 * tout; - - ifail = 0; - pdedef pdedef1 = new pdedef(); - bndary bndary1 = new bndary(); - D03PC d03pc = new D03PC(npde, m, ts, tout, pdedef1, bndary1, u, npts, x, acc, rsave, lrsave, - isave, lisave, itask, itrace, ind, iuser, ruser, cwsav, lwsav, iwsav, - rwsav, ifail); - d03pc.eval(); - - //update ind - ind = d03pc.getIND(); - - if(i == 0){ - System.out.printf("Accuracy requirement = \t%.5e\n Parameter ALPHA = \t%.3e\n", acc, alpha); - System.out.printf("T / X "); - for(int j = 0; j < xout.length; j++){ - System.out.printf("\t%.4f", xout[j]); - } - System.out.printf("\n"); - } - System.out.println(); - - //Interpolate at required spatial points - ifail = 0; - - D03PZ d03pz = new D03PZ(npde, m, u, npts, x, xout, intpts, itype, uout, ifail); - d03pz.eval(); - - System.out.printf("%.4f \tU(1)", tout); - for(int j = 0; j < intpts; j++){ - System.out.printf("\t%.4f ", uout[j * 2]); - } - System.out.printf("\n"); - System.out.printf("\tU(2)"); - for(int j = 0; j < intpts; j++){ - System.out.printf("\t%.4f ", uout[j * 2 + 1]); - } - System.out.printf("\n"); - System.out.println(); - } - - System.out.printf("Number of Integration steps in time\t\t\t%d\n", isave[0]); - System.out.printf("Number of residual evaluations of resulting ODE system\t%d\n", isave[1]); - System.out.printf("Number of Jacobian evaluations\t\t\t\t%d\n", isave[2]); - System.out.printf("Number of iterations of nonlinear solver\t\t%d\n", isave[4]); - } - - /** - * PDE initial condition - */ - public static double[] uinit(double[] x, int npts, int[] iuser, double[] ruser){ - double alpha = ruser[0]; - double[] u = new double[2 * npts]; - for(int i = 0; i < npts; i++){ - u[2 * i] = 2 * alpha * x[i]; - u[(2 * i) + 1] = 1; - } - return u; - } - - public static class pdedef extends D03PC.Abstract_D03PC_PDEDEF{ - public void eval(){ - double alpha = this.RUSER[0]; - this.Q[0] = 4 * alpha * (this.U[1] + (this.X * this.UX[1])); - this.Q[1] = 0; - this.R[0] = this.X * this.UX[0]; - this.R[1] = this.UX[1] - (this.U[0] * this.U[1]); - this.P[0] = 0; - this.P[1] = 0; - this.P[2] = 0; - this.P[3] = 1 - (this.X * this.X); - } - } - - public static class bndary extends D03PC.Abstract_D03PC_BNDARY{ - public void eval(){ - if(this.IBND == 0){ - this.BETA[0] = 0; - this.BETA[1] = 1; - this.GAMMA[0] = this.U[0]; - this.GAMMA[1] = -this.U[0] * this.U[1]; - } - else{ - this.BETA[0] = 1; - this.BETA[1] = 0; - this.GAMMA[0] = -this.U[0]; - this.GAMMA[1] = this.U[1]; - } - } - } - -} - - - diff --git a/simple_examples/source/int32/D03RAJE.java b/simple_examples/source/int32/D03RAJE.java deleted file mode 100644 index 88d49aa..0000000 --- a/simple_examples/source/int32/D03RAJE.java +++ /dev/null @@ -1,307 +0,0 @@ -import com.nag.routines.D03.D03RA; -import com.nag.routines.D03.D03RA.D03RA_BNDARY; -import com.nag.routines.D03.D03RA.D03RA_MONITR; -import com.nag.routines.X01.X01AA; -import com.nag.routines.X02.X02AJ; -import java.util.Arrays; - -/** - * D03RA example program text. - * @author joed - */ -public class D03RAJE { - - public static final double ALPHA = 50.0; - public static final double BETA = 300.0; - public static final double XMAX = 1.0; - public static final double XMIN = 0.0; - public static final double YMAX = 1.0; - public static final double YMIN = 0.0; - public static final int ITRACE = 0; - public static final int NPDE = 1; - - public static D03RA d03ra = new D03RA(); - public static PDEDEF pdedef = new PDEDEF(); - public static BNDRY bndry = new BNDRY(); - public static PDEIV pdeiv = new PDEIV(); - public static MONIT monit = new MONIT(); - public static MONITDUMMY monitDummy = new MONITDUMMY(); - - public static void main(String[] args) { - double tols, tolt, tout, ts; - int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, npde, npts, nx, ny; - double[] dt, twant, optr, rwk; - int[] wklens, iwk, opti = new int[4]; - boolean[] lwk; - - // Run examples - System.out.println(" D03RAJ Example Program Results"); - System.out.println(); - - npts = 2000; - npde = NPDE; - - dt = new double[] {0.1e-2, 0.0, 0.0}; - twant = new double[] {0.24, 0.25}; - ts = 0.0; - - ind = 10; - nx = 41; - ny = 41; - tols = 0.5; - tolt = 0.01; - Arrays.fill(opti, 0); - opti[0] = 6; - maxlev = Math.max(opti[0], 3); - - wklens = computeWkspaceLens(maxlev, npde, npts); - lenrwk = wklens[0]; - leniwk = wklens[1]; - lenlwk = wklens[2]; - rwk = new double[lenrwk]; - iwk = new int[leniwk]; - lwk = new boolean[lenlwk]; - - optr = new double[3 * npde]; - Arrays.fill(optr, 1.0); - - for (int i = 0; i < 2; i++) { - tout = twant[i]; - ifail = 0; - if (i == 0) { - // Dummy monitor used to avoid output on first call - d03ra.eval( - npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, - tolt, pdedef, bndry, pdeiv, monitDummy, opti, optr, - rwk, lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail - ); - } - else { - d03ra.eval( - npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, - tolt, pdedef, bndry, pdeiv, monit, opti, optr, rwk, - lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail - ); - } - - ind = d03ra.getIND(); - ifail = d03ra.getIFAIL(); - ts = d03ra.getTS(); - - printStatistics(ts, iwk, maxlev); - - } - - } - - public static class PDEIV extends D03RA.Abstract_D03RA_PDEIV { - - public void eval() { - Arrays.fill(this.U, 1.0); - } - - } - - public static class PDEDEF extends D03RA.Abstract_D03RA_PDEDEF { - - private static final double ACTIV_ENERGY = 20.0; - private static final double DIFFUSION = 0.1; - private static final double HEAT_RELEASE = 1.0; - private static final double REACTION_RATE = 5.0; - - public void eval() { - - double damkohler; - - damkohler = REACTION_RATE * Math.exp(ACTIV_ENERGY) - / (HEAT_RELEASE * ACTIV_ENERGY); - - for (int col = 0; col < this.NPDE; col++) { - for (int row = 0; row < this.NPTS; row++) { - int idx = (col * this.NPTS) + row; - this.RES[idx] = this.UT[idx] - - (DIFFUSION * (this.UXX[idx] + this.UYY[idx])) - - (damkohler - * (1.0e0 + HEAT_RELEASE - this.U[idx]) - * Math.exp(-ACTIV_ENERGY / this.U[idx])); - } - } - - } - - } - - public static class BNDRY extends D03RA.Abstract_D03RA_BNDARY { - - public void eval() { - X02AJ x02aj = new X02AJ(); - double tol; - - // X02AJ returns machine precision - tol = 10.0 * x02aj.eval(); - - for (int i = 0; i < this.NBPTS; i++) { - int j = this.LBND[i] - 1; - - if (Math.abs(this.X[j]) <= tol) { - for (int col = 0; col < this.NPDE; col++) { - int idx = (col * this.NPTS) + j; - this.RES[idx] = this.UX[idx]; - } - } - else if (Math.abs(this.X[j] - 1.0) <= tol) { - for (int col = 0; col < this.NPDE; col++) { - int idx = (col * this.NPTS) + j; - this.RES[idx] = this.U[idx] - 1.0; - } - } - else if (Math.abs(this.Y[j]) <= tol) { - for (int col = 0; col < this.NPDE; col++) { - int idx = (col * this.NPTS) + j; - this.RES[idx] = this.UY[idx]; - } - } - else if (Math.abs(this.Y[j] - 1.0) <= tol) { - for (int col = 0; col < this.NPDE; col++) { - int idx = (col * this.NPTS) + j; - this.RES[idx] = this.U[idx] - 1.0; - } - } - } - - } - - } - - public static class MONIT extends D03RA.Abstract_D03RA_MONITR { - - public void eval() { - int ipsol, k, level, npts; - - if (TLAST) { - // Print solution - level = this.NLEV - 1; - npts = this.NGPTS[level]; - ipsol = this.LSOL[level]; - k = 0; - for (int i = 0; i < level; i++) { - k += this.NGPTS[i]; - } - - System.out.printf( - " Solution at every 4th grid point in level%10d" - + " at time %8.4f:%n%n", this.NLEV, this.T - ); - System.out.println( - " x y approx u\n" - ); - for (int i = 0; i < npts; i += 4) { - double ix = this.XPTS[k + i]; - double iy = this.YPTS[k + i]; - double isol = this.SOL[ipsol + i]; - System.out.printf( - " %11.4E %11.3E %11.3E%n", - ix, iy, isol - ); - } - System.out.println(); - - } - - } - - } - - public static class MONITDUMMY extends D03RA.Abstract_D03RA_MONITR { - - public void eval() { - return; - } - - } - - public static int[] computeWkspaceLens(int maxlev, int npde, int maxpts) { - int lenrwk, leniwk, lenlwk; - - lenrwk = (2 * maxpts * npde * ((5 * maxlev) + (18 * npde) + 9)) - + (2 * maxpts); - leniwk = (2 * maxpts * (14 + (5 * maxlev))) - + (7 * maxlev) + 2; - lenlwk = (2 * maxpts) + 400; - - return new int[] {lenrwk, leniwk, lenlwk}; - - } - - public static void printStatistics(double ts, int[] iwk, int maxlev) { - int[] istats = new int[4]; - - System.out.printf(" Statistics:%n"); - System.out.printf(" Time = %8.4f%n", ts); - System.out.printf( - " Total number of accepted timesteps =%5d%n", iwk[0] - ); - System.out.printf( - " Total number of rejected timesteps =%5d%n", iwk[1] - ); - System.out.printf( - "%n" - + " Total number (rounded) of%n" - + " Residual Jacobian Newton Lin sys%n" - + " evals evals iters iters%n" - + " At level %n" - ); - - for (int j = 0; j < maxlev; j++) { - if (iwk[j + 2] != 0) { - int idx = 0; - for (int i = j+2; i <= j+2+(3*maxlev); i += maxlev) { - istats[idx++] = iwk[i]; - } - istats = roundStatisics(istats); - System.out.printf("%8d", j + 1); - for (int i = 0; i < 4; i++) { - System.out.printf("%10d", istats[i]); - } - System.out.printf("%n"); - } - } - - System.out.printf( - "%n" - + " Maximum number of %n" - + " Newton iters Lin sys iters %n" - + " At level %n" - ); - - for (int j = 0; j < maxlev; j++) { - if (iwk[j+2] != 0) { - System.out.printf("%8d", j+1); - System.out.printf("%14d", iwk[j+2+(4*maxlev)]); - System.out.printf("%14d", iwk[j+2+(5*maxlev)]); - System.out.printf("%n"); - } - } - System.out.println(); - - } - - public static int[] roundStatisics(int[] istat) { - double lt; - int k; - - lt = Math.log(10.0); - for (int i = 0; i < istat.length; i++) { - // istat = 0 leads to div by 0 error, doesn't need rounding anyway - if (istat[i] != 0) { - k = (int) (Math.log((double) istat[i]) / lt); - k = (int) Math.pow(10, k); - istat[i] = k * ((istat[i] + k/2)/k); - } - } - - return istat; - - } - -} diff --git a/simple_examples/source/int32/D03RBJE.java b/simple_examples/source/int32/D03RBJE.java deleted file mode 100644 index 9b1b482..0000000 --- a/simple_examples/source/int32/D03RBJE.java +++ /dev/null @@ -1,388 +0,0 @@ -import com.nag.routines.D03.D03RB; -import com.nag.routines.D03.D03RZ; -import java.util.Arrays; - -/** - * D03RB example program text. - * @author joed - */ -public class D03RBJE { - - public static final int ITRACE = -1; - public static final int NPDE = 2; - public static final double[] TWANT = {0.25, 1.0}; - - public static boolean do_monitr; - public static int print_stats = 0; - - public static BNDARY bndary = new BNDARY(); - public static INIDOM inidom = new INIDOM(); - public static MONITR monitr = new MONITR(); - public static PDEDEF pdedef = new PDEDEF(); - public static PDEIV pdeiv = new PDEIV(); - - public static void main(String[] args) { - D03RB d03rb = new D03RB(); - double tols, tolt, tout, ts; - int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, mxlev, npts; - boolean[] lwk; - double[] optr, rwk, dt = new double[3]; - int[] iwk, opti = new int[4]; - - System.out.println(" D03RBJ Example Program Results"); - - npts = 3000; - mxlev = 7; - - leniwk = 10 * npts * (5 * mxlev + 14) + 2 + 7 * mxlev; - lenlwk = 20 * npts; - lenrwk = 20 * (npts * NPDE * (5 * mxlev + 9 + 18 * NPDE) + 2 * npts); - - rwk = new double[lenrwk]; - iwk = new int[leniwk]; - lwk = new boolean[lenlwk]; - optr = new double[3 * NPDE]; - - // Specify that we are starting the integration in time - // (ind = 0 normally). - ind = 10; - - ts = 0.0; - dt[0] = 0.001; - dt[1] = 1.0E-7; - dt[2] = 0.0; - tols = 0.1; - tolt = 0.05; - opti[0] = mxlev; - maxlev = opti[0]; - Arrays.fill(opti, 1, 4, 0); - Arrays.fill(optr, 1.0); - - // Call main routine - for (int iout = 1; iout <= 2; iout++) { - do_monitr = (iout == 2); - tout = TWANT[iout - 1]; - - ifail = 0; - d03rb.eval( - NPDE, ts, tout, dt, tols, tolt, inidom, pdedef, bndary, pdeiv, - monitr, opti, optr, rwk, lenrwk, iwk, leniwk, lwk, lenlwk, - ITRACE, ind, ifail - ); - ind = d03rb.getIND(); - ifail = d03rb.getIFAIL(); - ts = d03rb.getTS(); - - if (print_stats != 0) { - System.out.printf(" Statistics:\n"); - System.out.printf(" Time = %8.4f\n", ts); - System.out.printf( - " Total number of accepted timesteps =%5d\n", iwk[0] - ); - System.out.printf( - " Total number of rejected timesteps =%5d\n", iwk[1] - ); - System.out.println( - " Total number of " - + " maximum number of " - ); - System.out.println( - " Residual Jacobian Newton Newton " - ); - System.out.println( - " evals evals iters iters " - ); - System.out.println(" Level "); - - maxlev = opti[0]; - for (int j = 0; j < maxlev; j++) { - if (iwk[j+2] != 0) { - System.out.printf( - "%4d%10d%10d%10d%10d\n", - j+1, - iwk[j + 2 + 0*maxlev], - iwk[j + 2 + 1*maxlev], - iwk[j + 2 + 2*maxlev], - iwk[j + 2 + 4*maxlev] - ); - } - } - System.out.println(); - - } - - } - - } - - public static class PDEIV extends D03RB.Abstract_D03RB_PDEIV { - - public void eval(int NPTS, int NPDE, double T, double[] X, double[] Y, double[] U) { - this.setNPTS(NPTS); - this.setNPDE(NPDE); - this.setT(T); - this.setX(X); - this.setY(Y); - this.setU(U); - this.eval(); - } - - public void eval() { - double eps = 0.001, a; - - for (int i = 1; i <= this.NPTS; i++) { - a = (4.0 * (this.Y[i-1] - this.X[i-1]) - this.T) / (32.0 * eps); - if (a <= 0.0) { - this.U[getIdx(i, 1, this.NPTS)] - = 0.75 - 0.25 / (1.0 + Math.exp(a)); - this.U[getIdx(i, 2, this.NPTS)] - = 0.75 + 0.25 / (1.0 + Math.exp(a)); - } - else { - a = -a; - this.U[getIdx(i, 1, this.NPTS)] - = 0.75 - 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); - this.U[getIdx(i, 2, this.NPTS)] - = 0.75 + 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); - } - } - - } - - } - - public static class INIDOM extends D03RB.Abstract_D03RB_INIDOM { - - public void eval() { - int ifail, leniwk; - int[] icold, ilbndd, irowd, lbndd, llbndd, lrowd; - int[] iwk = new int[122]; - String[] pgrid = new String[11]; - - for (int i = 0; i < 11; i++) { - pgrid[i] = " "; - } - - icold = new int[]{ - 0,1,2,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5, - 6,7,8,9,10,0,1,2,3,4,5,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4, - 5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,0,1,2,3,4, - 5,6,7,8,0,1,2,3,4,5,6,7,8 - }; - - ilbndd = new int[]{ - 1,2,3,4,1,4,1,2,3,4,3,4,1,2,12,23,34,41,14,41,12,23,34,41,43,14, - 21,32 - }; - - irowd = new int[]{0,1,2,3,4,5,6,7,8,9,10}; - - lbndd = new int[]{ - 2,4,15,26,37,46,57,68,79,88,98,99,100,101,102,103,104,96,86,85, - 84,83,82,70,59,48,39,28,17,6,8,9,10,11,12,13,18,29,40,49,60,72, - 73,74,75,76,77,67,56,45,36,25,33,32,42,52,53,43,1,97,105,87,81, - 3,7,71,78,14,31,51,54,34 - }; - - llbndd = new int[]{ - 1,2,11,18,19,24,31,37,42,48,53,55,56,58,59,60,61,62,63,64,65,66, - 67,68,69,70,71,72 - }; - - lrowd = new int[]{1,4,15,26,37,46,57,68,79,88,97}; - - this.NX = 11; - this.NY = 11; - - // Check MAXPTS against rough estimate of NPTS. - this.NPTS = this.NX * this.NY; - if (this.MAXPTS < this.NPTS) { - this.IERR = -1; - return; - } - - this.XMIN = 0.0; - this.YMIN = 0.0; - this.XMAX = 1.0; - this.YMAX = 1.0; - - this.NROWS = 11; - this.NPTS = 105; - this.NBNDS = 28; - this.NBPTS = 72; - - for (int i = 0; i < this.NROWS; i++) { - this.LROW[i] = lrowd[i]; - this.IROW[i] = irowd[i]; - } - - for (int i = 0; i < this.NBNDS; i++) { - this.LLBND[i] = llbndd[i]; - this.ILBND[i] = ilbndd[i]; - } - - for (int i = 0; i < this.NBPTS; i++) { - this.LBND[i] = lbndd[i]; - } - - for (int i = 0; i < this.NPTS; i++) { - this.ICOL[i] = icold[i]; - } - - } - - } - - public static class PDEDEF extends D03RB.Abstract_D03RB_PDEDEF { - - public void eval() { - - double eps = 1E-3; - int n = this.NPTS; // For concise getIdx calls - - for (int i = 1; i <= n; i++) { - this.RES[getIdx(i, 1, n)] - = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 1, n)] - - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 1, n)] - + eps * (this.UXX[getIdx(i, 1, n)] - + this.UYY[getIdx(i, 1, n)]); - this.RES[getIdx(i, 2, n)] - = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 2, n)] - - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 2, n)] - + eps * (this.UXX[getIdx(i, 2, n)] - + this.UYY[getIdx(i, 2, n)]); - this.RES[getIdx(i, 1, n)] - = this.UT[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; - this.RES[getIdx(i, 2, n)] - = this.UT[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; - } - - } - - } - - public static class BNDARY extends D03RB.Abstract_D03RB_BNDARY { - - public void eval() { - - double a, eps = 1E-3; - int i, n = this.NPTS; - - for (int k = this.LLBND[0]; k <= this.NBPTS; k++) { - i = this.LBND[k - 1]; - a = (-4.0 * this.X[i - 1] + 4.0 * this.Y[i - 1] - this.T) - / (32.0 * eps); - - if (a <= 0.0) { - this.RES[getIdx(i, 1, n)] - = 0.75 - 0.25 / (1.0 + Math.exp(a)); - this.RES[getIdx(i, 2, n)] - = 0.75 + 0.25 / (1.0 + Math.exp(a)); - } - else { - a = -a; - this.RES[getIdx(i, 1, n)] - = 0.75 - (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); - this.RES[getIdx(i, 2, n)] - = 0.75 + (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); - } - - this.RES[getIdx(i, 1, n)] - = this.U[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; - this.RES[getIdx(i, 2, n)] - = this.U[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; - - } - - } - - } - - public static class MONITR extends D03RB.Abstract_D03RB_MONITR { - - public void eval() { - - D03RZ d03rz = new D03RZ(); - double aprxU, exctU, aprxV, exctV; - int maxpts = 6000; - int ifail, ipsol, npts; - double[] uex = new double[105*2], x = new double[maxpts], - y = new double[maxpts]; - - for (int level = 0; level < this.NLEV; level++) { - - if (!this.TLAST) { - break; - } - - ipsol = this.LSOL[level]; - - // Get grid information - ifail = -1; - npts = 0; - d03rz.eval( - level + 1, this.NLEV, this.XMIN, this.YMIN, this.DXB, - this.DYB, this.LGRID, this.ISTRUC, npts, x, y, maxpts, - ifail - ); - ifail = d03rz.getIFAIL(); - npts = d03rz.getNPTS(); - - if (ifail != 0) { - this.IERR = 1; - break; - } - - // Skip printing? - if (!do_monitr || (level != 0)) { - continue; - } - - // Get exact solution - pdeiv.eval(npts, this.NPDE, this.T, x, y, uex); - - System.out.println(); - System.out.printf( - " Solution at every 2nd grid point in level %d at" - + " time %8.4f:\n\n", level + 1, this.T - ); - System.out.print( - " x y approx u exact u approx v" - + " exact v\n\n" - ); - - ipsol = this.LSOL[level]; - - for (int i = 0; i < npts; i += 2) { - aprxU = this.SOL[ipsol + i]; - exctU = uex[getIdx(i+1, 1, npts)]; - aprxV = this.SOL[ipsol + npts + i]; - exctV = uex[getIdx(i+1, 2, npts)]; - System.out.printf( - " %9.2f %9.2f %9.2f %9.2f %9.2f %9.2f\n", - x[i], y[i], aprxU, exctU, aprxV, exctV - ); - } - System.out.println(); - - } - - } - - } - - /** - * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based - * Java index. - * - *

    Fortran array definition: - * a(dimX, *) - * - *

    Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return ((y-1) * dimX) + (x-1); - } - -} diff --git a/simple_examples/source/int32/D05BAJE.java b/simple_examples/source/int32/D05BAJE.java deleted file mode 100644 index 7a8caf7..0000000 --- a/simple_examples/source/int32/D05BAJE.java +++ /dev/null @@ -1,111 +0,0 @@ -import com.nag.routines.D05.D05BA; -import com.nag.routines.X02.X02AJ; - -/** - * D05BAJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class D05BAJE{ - - /** - * D05BAJE main program - */ - public static void main(String[] args){ - double alim, h, hi, si, thresh, tlim, tol; - int ifail, iorder, lwk, nmesh = 6; - String method; - double[] errest, yn, work; - - errest = new double[nmesh]; - yn = new double[nmesh]; - - System.out.println("D05BAJ Example Program Results"); - - method = "A"; - iorder = 6; - alim = 0; - tlim = 20; - h = (tlim - alim) / (double) nmesh; - tol = 0.001; - X02AJ x02aj = new X02AJ(); - thresh = x02aj.eval(); - lwk = 10 * nmesh + 6; - work = new double[lwk]; - - //Loop until the supplied workspace is big enough - //breakflag used to exit loop - boolean breakflag = false; - while(true){ - ifail = 1; - - ck ck1 = new ck(); - cf cf1 = new cf(); - cg cg1 = new cg(); - - D05BA d05ba = new D05BA(ck1, cg1, cf1, method, iorder, alim, tlim, yn, errest, nmesh, - tol, thresh, work, lwk, ifail); - d05ba.eval(); - - //update - ifail = d05ba.getIFAIL(); - lwk = d05ba.getLWK(); - work = d05ba.getWORK(); - - switch(ifail){ - case 5: - lwk = (int) work[0]; - work = new double[lwk]; - break; - case 6: - lwk = (int) work[0]; - work = new double[lwk]; - break; - default: - breakflag = true; - } - - if(breakflag == true){ - break; - } - } - - if(ifail != 0){ - System.out.printf("D05BAJ exited with IFAIL = %d\n", ifail); - } - - System.out.println(); - System.out.printf("Size of workplace = %d\n", lwk); - System.out.printf("Tolerance = %.4e\n", tol); - System.out.println(); - System.out.print("T\tApprox. Sol.\tTrue Sol.\tEst. Error\tActual Error\n"); - for(int i = 0; i < nmesh; i++){ - hi = (double) (i + 1) * h; - si = sol(hi); - System.out.printf("%.2f\t%.5f\t\t%.5f\t\t%.5e\t%.5e\n", (alim + hi), yn[i], si, errest[i], Math.abs((yn[i] - si) / si)); - } - } - - private static double sol(double t){ - return Math.log(t + Math.exp(1)); - } - - public static class ck extends D05BA.Abstract_D05BA_CK{ - public double eval(){ - return Math.exp(-this.T); - } - } - - public static class cf extends D05BA.Abstract_D05BA_CF{ - public double eval(){ - return Math.exp(-this.T); - } - } - - public static class cg extends D05BA.Abstract_D05BA_CG{ - public double eval(){ - return (this.Y + Math.exp(-this.Y)); - } - } -} - diff --git a/simple_examples/source/int32/D05BEJE.java b/simple_examples/source/int32/D05BEJE.java deleted file mode 100644 index f98bea3..0000000 --- a/simple_examples/source/int32/D05BEJE.java +++ /dev/null @@ -1,185 +0,0 @@ -import com.nag.routines.D05.D05BE; -import com.nag.routines.X01.X01AA; -import com.nag.routines.X02.X02AJ; - -/** - * D05BEJ example program text. - * @author willa - */ -public class D05BEJE{ - - private static final int iorder = 4; - private static final int nmesh = (int)(Math.pow(2, 6) + (2 * iorder) - 1); - private static final int nout = 6; - private static final int lct = nmesh / 32 + 1; - private static final int lwk = ((2 * iorder) + 6) * nmesh + (8 * iorder * iorder) - (16 * iorder) + 1; - - public static void main(String[] args){ - double err, errmax, h, hi1, soln = 0, t = 0, tlim, tolnl; - int ifail; - double[] work, yn; - int[] nct; - - work = new double[lwk]; - yn = new double[nmesh]; - nct = new int[lct]; - - System.out.println("D05BEJ Example Program Results"); - - X02AJ x02aj = new X02AJ(); - tlim = 7; - tolnl = Math.sqrt(x02aj.eval()); - h = tlim /(double) (nmesh - 1); - yn[0] = 0; - - ifail = 0; - - D05BE d05be = new D05BE(); - ck1 k1 = new ck1(); - cf1 f1 = new cf1(); - cg1 g1 = new cg1(); - d05be.eval(k1, f1, g1, "Initial", iorder, tlim, tolnl, nmesh, yn, work, lwk, nct, ifail); - - //UPDATE - yn = d05be.getYN(); - - System.out.println(); - System.out.println("Example 1"); - System.out.println(); - System.out.printf("The stepsize h = %.4f\n", h); - System.out.println(); - System.out.println("\tT\tApproximate"); - System.out.println("\t\tSolution"); - System.out.println(); - - errmax = 0; - - for(int i = 1; i < nmesh; i++){ - hi1 = (double) i * h; - err = Math.abs(yn[i] - sol1(hi1)); - - if(err > errmax){ - errmax = err; - t = hi1; - soln = yn[i]; - } - - if((i > 4) && (i % 5 == 0)){ - System.out.printf("\t%.4f\t%.4f\n", hi1, yn[i]); - } - } - - System.out.println(); - System.out.printf("The maximum absolute error, %.2e, occured at T = %.4f with solution %.4f\n", errmax, t, soln); - System.out.println(); - - tlim = 5; - h = tlim /(double) (nmesh - 1); - yn[0] = 1; - - ifail = 0; - - ck2 k2 = new ck2(); - cf2 f2 = new cf2(); - cg2 g2 = new cg2(); - d05be.eval(k2, f2, g2, "Subsequent", iorder, tlim, tolnl, nmesh, yn, work, lwk, nct, ifail); - - //UPDATE - yn = d05be.getYN(); - - System.out.println(); - System.out.println("Example 2"); - System.out.println(); - System.out.printf("The stepsize h = %.4f\n", h); - System.out.println(); - System.out.println("\tT\tApproximate"); - System.out.println("\t\tSolution"); - System.out.println(); - - errmax = 0; - - for(int i = 0; i < nmesh; i++){ - hi1 = (double) i * h; - err = Math.abs(yn[i] - sol2(hi1)); - if(err > errmax){ - errmax = err; - t = hi1; - soln = yn[i]; - } - - if((i > 6) && (i % 7 == 0)){ - System.out.printf("\t%.4f\t%.4f\n", hi1, yn[i]); - } - } - - System.out.println(); - System.out.printf("The maximum absolute error, %.2e, occured at T = %.4f with solution %.4f\n", errmax, t, soln); - } - - private static double sol1(double t){ - double c, pi, t1, x = 0; - - //x is dummy variable - X01AA x01aa = new X01AA(x); - pi = x01aa.eval(); - - t1 = 1 + t; - c = 1 / Math.sqrt(2 * pi); - - return (c * (1 / Math.pow(t, 1.5)) * Math.exp((-t1 * t1) / (2 * t))); - } - - private static double sol2(double t){ - return (1 / (1 + t)); - } - - private static class ck1 extends D05BE.Abstract_D05BE_CK{ - public double eval(){ - return (Math.exp(-0.5 * this.T)); - } - } - - private static class ck2 extends D05BE.Abstract_D05BE_CK{ - double pi, x = 0; - - public double eval(){ - X01AA x01aa = new X01AA(x); - pi = x01aa.eval(); - return Math.sqrt(pi); - } - } - - private static class cf1 extends D05BE.Abstract_D05BE_CF{ - double a, pi, t1, x = 0; - - public double eval(){ - X01AA x01aa = new X01AA(x); - pi = x01aa.eval(); - - t1 = 1 + this.T; - a = 1 / Math.sqrt(pi * this.T); - return (-a * Math.exp((-0.5 * t1 * t1) / this.T)); - } - } - - private static class cf2 extends D05BE.Abstract_D05BE_CF{ - double st1; - - public double eval(){ - st1 = Math.sqrt(1 + this.T); - return ((-2 * Math.log(st1 + Math.sqrt(this.T))) / st1); - } - } - - private static class cg1 extends D05BE.Abstract_D05BE_CG{ - public double eval(){ - return this.Y; - } - } - - private static class cg2 extends D05BE.Abstract_D05BE_CG{ - public double eval(){ - return this.Y; - } - } -} diff --git a/simple_examples/source/int32/DTFSMJE.java b/simple_examples/source/int32/DTFSMJE.java deleted file mode 100644 index a88b114..0000000 --- a/simple_examples/source/int32/DTFSMJE.java +++ /dev/null @@ -1,54 +0,0 @@ -import com.nag.routines.F01.DTRTTF; -import com.nag.routines.F06.DTFSM; -import com.nag.routines.X04.X04CA; - -/** - * DTFSM example program text. Adapted from f06wbfe.f90 - * @author joed - */ -public class DTFSMJE { - - public static void main(String[] args) { - - double alpha = 4.21; - int ifail = 0, info = 0, m = 6, n = 4; - String side = "L", trans = "N", transr = "N", uplo = "L"; - DTFSM dtfsm = new DTFSM(); - DTRTTF dtrttf = new DTRTTF(); - X04CA x04ca = new X04CA(); - - System.out.println(" DTFSMJ Example Program Results\n"); - - // Set lower triangle of matrix A - double[] a = new double[m*m]; - for (int i = 0; i < m; i++) { - for (int j = 0; j < m; j++) { - a[i*m+j] = (j >= i) ? j+1 : 0; - } - } - - // Set matrix B - double[] b = new double[] { - 3.22, 1.64, 1.87, 5.20, 1.83, -1.10, - 1.37, 1.80, 2.87, -2.99, -2.71, -0.63, - 2.31, 0.38, 2.02, -0.91, -2.81, -0.50, - 0.29, -1.52, -0.80, -3.87, -1.13, 0.81 - }; - - // Convert A to rectangular full packed storage in ar - double[] ar = new double[(m*(m+1))/2]; - info = 0; - dtrttf.eval(transr, uplo, m, a, m, ar, info); - info = dtrttf.getINFO(); - - // Perform the matrix-matrix operation - dtfsm.eval(transr, side, uplo, trans, "N", m, n, alpha, ar, b, m); - - // Print result - ifail = 0; - x04ca.eval("General", " ", m, n, b, m, "The Solution", ifail); - ifail = x04ca.getIFAIL(); - - } - -} diff --git a/simple_examples/source/int32/E01DAJE.java b/simple_examples/source/int32/E01DAJE.java deleted file mode 100644 index 10c008f..0000000 --- a/simple_examples/source/int32/E01DAJE.java +++ /dev/null @@ -1,182 +0,0 @@ -import com.nag.routines.E01.E01DA; -import com.nag.routines.E02.E02DF; - -/** - * E01DA example program text. - */ -public class E01DAJE { - - public static void main(String[] args) { - - int mx = 7, my = 6, ifail = -1; - double[] x = new double[mx]; - double[] y = new double[my]; - double[] f = new double[mx*my]; - double[] lamda = new double[mx+4]; - double[] mu = new double[my+4]; - double[] c = new double[mx*my]; - double[] wrk = new double[(mx+6)*(my+6)]; - - int nx = 6, ny = 6, px = 0, py = 0; - double xlo = 1.0, xhi = 2.0; - double ylo = 0.0, yhi = 1.0; - - E01DA e01da = new E01DA(); - - // Input X, Y and function values on X-Y grid - x[0] = 1.00; - x[1] = 1.10; - x[2] = 1.30; - x[3] = 1.50; - x[4] = 1.60; - x[5] = 1.80; - x[6] = 2.00; - - y[0] = 0.00; - y[1] = 0.10; - y[2] = 0.40; - y[3] = 0.70; - y[4] = 0.90; - y[5] = 1.00; - - // On entry: F[my*(q-1)+r-1] must contain f(q,r), for q=1,2,...,mx - // and r=1,2,...,my. - f[0] = 1.00; - f[1] = 1.10; - f[2] = 1.40; - f[3] = 1.70; - f[4] = 1.90; - f[5] = 2.00; - f[6] = 1.21; - f[7] = 1.31; - f[8] = 1.61; - f[9] = 1.91; - f[10] = 2.11; - f[11] = 2.21; - f[12] = 1.69; - f[13] = 1.79; - f[14] = 2.09; - f[15] = 2.39; - f[16] = 2.59; - f[17] = 2.69; - f[18] = 2.25; - f[19] = 2.35; - f[20] = 2.65; - f[21] = 2.95; - f[22] = 3.15; - f[23] = 3.25; - f[24] = 2.56; - f[25] = 2.66; - f[26] = 2.96; - f[27] = 3.26; - f[28] = 3.46; - f[29] = 3.56; - f[30] = 3.24; - f[31] = 3.34; - f[32] = 3.64; - f[33] = 3.94; - f[34] = 4.14; - f[35] = 4.24; - f[36] = 4.00; - f[37] = 4.10; - f[38] = 4.40; - f[39] = 4.70; - f[40] = 4.90; - f[41] = 5.00; - - System.out.printf(" E01DAJ Example Program Results\n\n"); - e01da.eval(mx, my, x, y, f, px, py, lamda, mu, c, wrk, ifail); - - ifail = e01da.getIFAIL(); - switch (ifail) { - case 0: - System.out.printf(" I Knot LAMDA(I) J Knot MU(j)\n"); - for (int i = 3; i <= Math.max(mx,my); ++i) { - if (i <= mx) { - System.out.printf("%4d %9.4f", i+1, lamda[i]); - } - else { - System.out.printf(" "); - } - if (i <= my) { - System.out.printf("%8d %9.4f\n", i+1, mu[i]); - } - else { - System.out.printf("\n"); - } - } - System.out.printf("\n The B-Spline coefficients:\n"); - for (int i = 0; i < mx*my; ++i) { - System.out.printf("%9.4f", c[i]); - if ((i+1)%8 == 0) { - System.out.printf("\n"); - } - } - System.out.printf("\n"); - break; - default: - System.out.printf("\n Error detected by E01DA: %d\n", ifail); - } - - /* Evaluate the spline on a regular rectangular grid at nx*ny points - over the domain [xlo,xhi] x [ylo,yhi]. */ - px = e01da.getPX(); - py = e01da.getPY(); - int liwrk; - int lwrk = Math.min(4*nx+px, 4*ny+py); - if (4*nx+px > 4*ny+py) { - liwrk = ny + py - 4; - } - else { - liwrk = nx + px - 4; - } - double[] tx = new double[nx]; - double[] ty = new double[ny]; - double[] ff = new double[nx*ny]; - wrk = new double[lwrk]; - int[] iwrk = new int[liwrk]; - - /* Generate nx/ny equispaced x/y co-ordinates */ - double step = (xhi-xlo)/(nx-1); - tx[0] = xlo; - for (int i = 1; i < nx-1; i++) { - tx[i] = tx[i-1] + step; - } - tx[nx-1] = xhi; - - step = (yhi-ylo)/(ny-1); - ty[0] = ylo; - for (int i = 1; i < ny-1; i++) { - ty[i] = ty[i-1] + step; - } - ty[ny-1] = yhi; - - /* Evaluate the spline. */ - E02DF e02df = new E02DF(); - ifail = 0; - e02df.eval(nx,ny,px,py,tx,ty,lamda,mu,c,ff,wrk,lwrk,iwrk,liwrk,ifail); - - ifail = e02df.getIFAIL(); - switch (ifail) { - case 0: - System.out.printf("\n Spline evaluated on a regular mesh (X across, Y down):\n"); - System.out.printf(" "); - for (int i = 0; i < nx; ++i) { - System.out.printf(" %5.2f ", tx[i]); - } - System.out.printf("\n"); - for (int i = 0; i < ny; ++i) { - System.out.printf(" %5.2f ", ty[i]); - for (int j = 0; j < nx; ++j) { - System.out.printf(" %8.3f", ff[ny*j+i]); - } - System.out.printf("\n"); - } - break; - default: - System.out.printf("\n Error detected by E02DF: %d\n", ifail); - } - - } - -} diff --git a/simple_examples/source/int32/E02ALJE.java b/simple_examples/source/int32/E02ALJE.java deleted file mode 100644 index 372f125..0000000 --- a/simple_examples/source/int32/E02ALJE.java +++ /dev/null @@ -1,101 +0,0 @@ -import com.nag.routines.E02.E02AL; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * E02ALJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class E02ALJE{ - - /** - * E02ALJ Example main program - */ - public static void main(String[] args){ - double dxx, ref = 0, s, t, xx; - int ifail, n = 0, m = 0, neval = 0; //placeholders - double[] a, x, y; - - a = new double[0]; - x = new double[0]; - y = new double[0]; //placeholders - - System.out.println("E02ALJ Example Program Results"); - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[1]); - m = Integer.parseInt(sVal[2]); - neval = Integer.parseInt(sVal[3]); - - a = new double[m + 1]; - x = new double[n]; - y = new double[n]; - - for(int i = 0; i < n; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - x[i] = Double.parseDouble(sVal[1]); - y[i] = Double.parseDouble(sVal[2]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - System.exit(-2); - } - - ifail = 0; - E02AL e02al = new E02AL(n, x, y, m, a, ref, ifail); - e02al.eval(); - - //update - ref = e02al.getREF(); - x = e02al.getX(); - y = e02al.getY(); - - - System.out.println(); - System.out.printf(" Polynomial coefficients\n"); - for(int i = 0; i <= m; i++){ - System.out.printf("\t%.4e\n", a[i]); - } - System.out.println(); - System.out.printf(" Reference deviation = %.2e\n", ref); - System.out.println(); - System.out.printf("\tX\tFit\texp(x)\tResidual\n"); - - dxx = 1/(double)(neval - 1); - - for(int j = 0; j < neval; j++){ - xx = (double) j * dxx; - - s = a[m]; - - for(int i = m - 1; i >=0; i--){ - s = s * xx + a[i]; - } - - t = Math.exp(xx); - System.out.printf("\t%.2f\t%.4f\t%.4f\t%.2e\n", xx, s, t, (s - t)); - } - } -} - diff --git a/simple_examples/source/int32/E04ABJE.java b/simple_examples/source/int32/E04ABJE.java deleted file mode 100644 index 773f1ff..0000000 --- a/simple_examples/source/int32/E04ABJE.java +++ /dev/null @@ -1,76 +0,0 @@ -import com.nag.routines.E04.E04AB; - -/** - * E04ABJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class E04ABJE{ - - /** - * E04ABJE main program - */ - public static void main(String[] args){ - double a, b, e1, e2, f = 0, x = 0; //placeholders - int ifail, maxcal; - double[] ruser; - int[] iuser; - - ruser = new double[1]; - iuser = new int[1]; - - System.out.println("E04ABJ Example Program Results"); - - //e1 and e2 are set to zero so that E04ABA will reset them to their default values - - e1 = 0; - e2 = 0; - - //The minimum is known to lie in the range (3.5, 5.0) - - a = 3.5; - b = 5.0; - - //Allow 30 calls of FUNCT - - maxcal = 30; - - ifail = -1; - funct funct1 = new funct(); - E04AB e04ab = new E04AB(funct1, e1, e2, a, b, maxcal, x, f, iuser, ruser, ifail); - e04ab.eval(); - - //update - ifail = e04ab.getIFAIL(); - a = e04ab.getA(); - b = e04ab.getB(); - x = e04ab.getX(); - f = e04ab.getF(); - maxcal = e04ab.getMAXCAL(); - - switch(ifail){ - case 0: - System.out.println(); - System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); - System.out.printf("Its estimated position is %.8f,\n", x); - System.out.printf("where the function value is %.4f\n", f); - System.out.printf("%d function evaluations were required\n", maxcal); - break; - case 2: - System.out.println(); - System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); - System.out.printf("Its estimated position is %.8f,\n", x); - System.out.printf("where the function value is %.4f\n", f); - System.out.printf("%d function evaluations were required\n", maxcal); - break; - default: - break; - } - } - - public static class funct extends E04AB.Abstract_E04AB_FUNCT{ - public void eval(){ - FC = Math.sin(this.XC) / this.XC; - } - } -} diff --git a/simple_examples/source/int32/E04BBJE.java b/simple_examples/source/int32/E04BBJE.java deleted file mode 100644 index d7032f5..0000000 --- a/simple_examples/source/int32/E04BBJE.java +++ /dev/null @@ -1,81 +0,0 @@ -import com.nag.routines.E04.E04BB; - -/** - * E04BBJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class E04BBJE{ - - /** - * E04BBJE main program - */ - public static void main(String[] args){ - double a, b, e1, e2, f = 0, g = 0, x = 0; //placeholders - int ifail, maxcal; - double[] ruser; - int[] iuser; - - ruser = new double[1]; - iuser = new int[1]; - - System.out.println("E04BBJ Example Program Results"); - - //e1 and e2 are set to zero so that E04BBA will reset them to their default values - - e1 = 0; - e2 = 0; - - //The minimum is known to lie in the range (3.5, 5.0) - - a = 3.5; - b = 5.0; - - //Allow 30 calls of FUNCT - - maxcal = 30; - - ifail = -1; - funct funct1 = new funct(); - E04BB e04bb = new E04BB(funct1, e1, e2, a, b, maxcal, x, f, g, iuser, ruser, ifail); - e04bb.eval(); - - //update - a = e04bb.getA(); - b = e04bb.getB(); - maxcal = e04bb.getMAXCAL(); - x = e04bb.getX(); - f = e04bb.getF(); - g = e04bb.getG(); - ifail = e04bb.getIFAIL(); - - switch(ifail){ - case 0: - System.out.println(); - System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); - System.out.printf("Its estimated position is %.8f,\n", x); - System.out.printf("where the function value is %.4f\n", f); - System.out.printf("and the gradient is %.1e (machine dependent)\n", g); - System.out.printf("%d function evaluations were required\n", maxcal); - break; - case 2: - System.out.println(); - System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); - System.out.printf("Its estimated position is %.8f,\n", x); - System.out.printf("where the function value is %.4f\n", f); - System.out.printf("and the gradient is %.1e (machine dependent)\n", g); - System.out.printf("%d function evaluations were required\n", maxcal); - break; - default: - break; - } - } - - public static class funct extends E04BB.Abstract_E04BB_FUNCT{ - public void eval(){ - this.FC = Math.sin(this.XC) / this.XC; - this.GC = (Math.cos(this.XC) - this.FC)/this.XC; - } - } -} - diff --git a/simple_examples/source/int32/E04CBJE.java b/simple_examples/source/int32/E04CBJE.java deleted file mode 100644 index fbde674..0000000 --- a/simple_examples/source/int32/E04CBJE.java +++ /dev/null @@ -1,90 +0,0 @@ -import com.nag.routines.E04.E04CB; -import com.nag.routines.E04.E04CBK; -import com.nag.routines.X02.X02AJ; - -/** - * E04CBJ Example Program text - * @author willa - * @since 27.1.0.0 - */ -public class E04CBJE{ - - /** - * E04CBJE main program - */ - public static void main(String[] args){ - int n = 2, ifail, maxcal; - double f = 0, tolf, tolx; //placeholders - boolean monitoring; - int[] iuser; - double[] ruser, x; - - iuser = new int[1]; - ruser = new double[1]; - x = new double[n]; - - System.out.println("E04CBJ Example Program Results"); - - //Set monitoring to true to obtain monitoring information - monitoring = false; - - x[0] = -1.0; - x[1] = 1.0; - X02AJ x02aj = new X02AJ(); - tolf = Math.sqrt(x02aj.eval()); - tolx = Math.sqrt(tolf); - maxcal = 100; - - ifail = 0; - - funct funct1 = new funct(); - if(!monitoring){ - defMonit monit = new defMonit(); - E04CB e04cb = new E04CB(n, x, f, tolf, tolx, funct1, monit, maxcal, iuser, ruser, ifail); - e04cb.eval(); - } - else{ - myMonit monit = new myMonit(); - E04CB e04cb = new E04CB(n, x, f, tolf, tolx, funct1, monit, maxcal, iuser, ruser, ifail); - e04cb.eval(); - } - - System.out.println(); - System.out.printf("The final function value is \t%.4f\n", f); - System.out.printf("at the point\t"); - for(int i = 0; i < n; i++){ - System.out.printf("%.4f\t", x[i]); - } - System.out.printf("\n"); - } - - public static class funct extends E04CB.Abstract_E04CB_FUNCT{ - public void eval(){ - this.FC = Math.exp(this.XC[0]) * ((4 * this.XC[0] * (this.XC[0] + this.XC[1])) + (2 * this.XC[1] * (this.XC[1] + 1) + 1)); - } - } - - public static class myMonit extends E04CB.Abstract_E04CB_MONIT{ - public void eval(){ - System.out.println(); - System.out.printf("There have been %d function calls\n", this.NCALL); - System.out.printf("The smallest function value is %.4f\n", this.FMIN); - System.out.printf("The simplex is\n"); - for(int i = 0; i <= this.N; i++){ - for(int j = 0; j < this.N; j++){ - System.out.printf("%.4f\t", this.SIM[(j * (this.N + 1)) + i]); - } - System.out.printf("\n"); - } - System.out.printf("The standard deviation in function values of the vertices of the simplex is %.4f\n", this.SERROR); - System.out.printf("The linearized volume ratio of the current simplex to the starting one is %.4f\n", this.VRATIO); - } - } - - //This is how to use NAG supplied function as argument - public static class defMonit extends E04CBK implements E04CB.E04CB_MONIT{ - public void eval(){ - super.eval(); - } - } -} diff --git a/simple_examples/source/int32/E04FCJE.java b/simple_examples/source/int32/E04FCJE.java deleted file mode 100644 index 939f68d..0000000 --- a/simple_examples/source/int32/E04FCJE.java +++ /dev/null @@ -1,420 +0,0 @@ -import com.nag.routines.E04.E04FC; -import com.nag.routines.F06.DDOT; -import com.nag.routines.F06.DGEMV; -import com.nag.routines.X02.X02AJ; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.IOException; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * E04FC example program text. - * @author ludovic - */ -public class E04FCJE { - - public static void main(String[] args) { - - BufferedReader dataIn = null; - - try { - E04FC e04fc = new E04FC(); - System.out.println(" E04FCJ Example Program Results"); - dataIn = new BufferedReader(new FileReader(args[0])); - //skip header - dataIn.readLine(); - - int inc1 = 1, liw = 1, m, ldfjac = m = 15, n, ldv = n = 3, nt = 3, - lw = 6 * n + m * n + 2 * m + n * (n - 1) / 2; - String trans = "T"; - - double eta, fsumsq, stepmx, xtol; - eta = fsumsq = stepmx = xtol = Double.NaN; - int ifail, iprint, maxcal, nf, niter; - ifail = iprint = maxcal = nf = niter = 0; - double[] fjac = new double[m * n], - fvec = new double[m], - g = new double[n], - s = new double[n], - v = new double[ldv * n], - w = new double[lw], - x = new double[n], - y = new double[m], - t = new double[m * nt]; - - - int[] iw = new int[liw]; - - for (int i = 0; i < m; ++i) { - String[] line = dataIn.readLine().trim().split("\\s+"); - if (line.length != nt + 1) { - System.err.println("Error in data file - only " + line.length - + " records at line " + (i + 2) + " while expecting " + (nt + 1) - + " elements"); - System.exit(1); - } - y[i] = Double.parseDouble(line[0].replaceAll("D", "E")); // java doesn't know the D format - for (int j = 1; j <= nt; ++j) { - t[i + (j - 1) * m] = Double.parseDouble(line[j].replaceAll("D", "E")); - } - } - - // Set IPRINT to 1 to obtain output from LSQMON at each iteration - iprint = -1; - - maxcal = 400 * n; - eta = 0.5; - xtol = 10.0 * Math.sqrt((new X02AJ()).eval()); - - // We estimate that the minimum will be within 10 units of the starting point - stepmx = 10.0; - - // Set up the starting point - x[0] = 0.5; - x[1] = 1.0; - x[2] = 1.5; - - ifail = -1; - - LSQFUN lsqfun = new LSQFUN(); - lsqfun.t = t; - lsqfun.y = y; - LSQMON lsqmon = new LSQMON(); - - e04fc.eval(m, n, lsqfun, lsqmon, iprint, maxcal, eta, xtol, stepmx, x, fsumsq, - fvec, fjac, ldfjac, s, v, ldv, niter, nf, iw, liw, w, lw, ifail); - - ifail = e04fc.getIFAIL(); - - - switch (ifail) { - case (1): - System.err.println("Unexpected ifail = " + ifail); - break; - default: - System.out.println(); - System.out.printf(" On exit, the sum of squares is %12.4f\n", e04fc.getFSUMSQ()); - System.out.printf(" at the point %12.4f %12.4f %12.4f\n", x[0], x[1], x[2]); - lsqgrd(m, n, fvec, fjac, ldfjac, g); - System.out.print(" The estimated gradient is "); - for (int i = 0; i < n; ++i) { - System.out.printf(" %12.3e\t", g[i]); - } - System.out.println(); - System.out.println(" (machine dependent)"); - System.out.println(" and the residuals are"); - for (int i = 0; i < m; ++i) { - System.out.printf(" %9.1e\n", fvec[i]); - } - } - - - - } - catch (Exception ex) { - Logger.getLogger(E04FCJE.class.getName()).log(Level.SEVERE, null, ex); - } - finally { - try { - dataIn.close(); - } - catch (IOException ex) { - Logger.getLogger(E04FCJE.class.getName()).log(Level.SEVERE, null, ex); - } - } - - - } - - public static void lsqgrd(int m, int n, double[] fvec, double[] fjac, int ldfjac, double[] g) { - DGEMV dgemv = new DGEMV("T", m, n, 1.0, fjac, ldfjac, fvec, 1, 0.0, g, 1); - dgemv.eval(); - for (int i = 0; i < g.length; ++i) { - g[i] = 2.0 * g[i]; - } - } - - public static class LSQFUN implements E04FC.E04FC_LSQFUN { - - public double[] t, y; - int IFLAG, M, N, LW, LIW; - double[] XC, FVEC, W; - int[] IW; - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void setM(int M) { - this.M = M; - } - - @Override - public int getM() { - return M; - } - - @Override - public void setN(int N) { - this.N = N; - } - - @Override - public int getN() { - return N; - } - - @Override - public void setXC(double[] XC) { - this.XC = XC; - } - - @Override - public double[] getXC() { - return XC; - } - - @Override - public void setFVEC(double[] FVEC) { - this.FVEC = FVEC; - } - - @Override - public double[] getFVEC() { - return FVEC; - } - - @Override - public void setIW(int[] IW) { - this.IW = IW; - } - - @Override - public int[] getIW() { - return IW; - } - - @Override - public void setLIW(int LIW) { - this.LIW = LIW; - } - - @Override - public int getLIW() { - return LIW; - } - - @Override - public void setW(double[] W) { - this.W = W; - } - - @Override - public double[] getW() { - return W; - } - - @Override - public void setLW(int LW) { - this.LW = LW; - } - - @Override - public int getLW() { - return LW; - } - - @Override - public void eval(int IFLAG, int M, int N, double[] XC, double[] FVEC, - int[] IW, int LIW, double[] W, int LW) { - for (int i = 0; i < M; ++i) { - FVEC[i] = XC[0] + t[i] / (XC[1] * t[i + M] + XC[2] * t[i + 2 * M]) - y[i]; - } - } - - } - - public static class LSQMON implements E04FC.E04FC_LSQMON { - - int M, N, LDFJAC, NITER, NF, IGRADE, LIW, LW; - int[] IW; - double[] XC, FVEC, FJAC, S, W; - - @Override - public void setM(int M) { - this.M = M; - } - - @Override - public int getM() { - return M; - } - - @Override - public void setN(int N) { - this.N = N; - } - - @Override - public int getN() { - return N; - } - - @Override - public void setXC(double[] XC) { - this.XC = XC; - } - - @Override - public double[] getXC() { - return XC; - } - - @Override - public void setFVEC(double[] FVEC) { - this.FVEC = FVEC; - } - - @Override - public double[] getFVEC() { - return FVEC; - } - - @Override - public void setFJAC(double[] FJAC) { - this.FJAC = FJAC; - } - - @Override - public double[] getFJAC() { - return FJAC; - } - - @Override - public void setLDFJAC(int LDFJAC) { - this.LDFJAC = LDFJAC; - } - - @Override - public int getLDFJAC() { - return LDFJAC; - } - - @Override - public void setS(double[] S) { - this.S = S; - } - - @Override - public double[] getS() { - return S; - } - - @Override - public void setIGRADE(int IGRADE) { - this.IGRADE = IGRADE; - } - - @Override - public int getIGRADE() { - return IGRADE; - } - - @Override - public void setNITER(int NITER) { - this.NITER = NITER; - } - - @Override - public int getNITER() { - return NITER; - } - - @Override - public void setNF(int NF) { - this.NF = NF; - } - - @Override - public int getNF() { - return NF; - } - - @Override - public void setIW(int[] IW) { - this.IW = IW; - } - - @Override - public int[] getIW() { - return IW; - } - - @Override - public void setLIW(int LIW) { - this.LIW = LIW; - } - - @Override - public int getLIW() { - return LIW; - } - - @Override - public void setW(double[] W) { - this.W = W; - } - - @Override - public double[] getW() { - return W; - } - - @Override - public void setLW(int LW) { - this.LW = LW; - } - - @Override - public int getLW() { - return LW; - } - - @Override - public void eval(int M, int N, double[] XC, double[] FVEC, double[] FJAC, - int LDFJAC, double[] S, int IGRADE, int NITER, int NF, int[] IW, - int LIW, double[] W, int LW) { - - int ndec = 3; - double fsumsq, gtg; - double[] g = new double[ndec]; - DDOT ddot = new DDOT(M, FVEC, 1, FVEC, 1); - fsumsq = ddot.eval(); - - lsqgrd(M, N, FVEC, FJAC, LDFJAC, g); - - gtg = ddot.eval(N, g, 1, g, 1); - // 99998 Format (1X,1P,E13.5,10X,1P,E9.1,10X,1P,E9.1) - System.out.println(); - System.out.println(" Itn F evals SUMSQ GTG Grade"); - System.out.printf(" %4d %5d %13.5e %9.1e %3d\n", - NITER, NF, fsumsq, gtg, IGRADE); - System.out.println(); - System.out.println(" X G Singular values"); - for (int j = 0; j < N; ++j) { - System.out.printf(" %13.5e %9.1e %9.1e\n",XC[j], g[j], S[j]); - } - - } - - } - -} diff --git a/simple_examples/source/int32/E04FFJE.java b/simple_examples/source/int32/E04FFJE.java deleted file mode 100644 index ad81e32..0000000 --- a/simple_examples/source/int32/E04FFJE.java +++ /dev/null @@ -1,140 +0,0 @@ -import com.nag.routines.E04.E04FF; -import com.nag.routines.E04.E04FFU; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RH; -import com.nag.routines.E04.E04RM; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04ZM; -import java.util.Arrays; - -/** - * E04FF example program text. - * @author joed - */ -public class E04FFJE { - - public static void main(String[] args) { - double infbnd = 1.0e20; - double[] lx, rx, ux, x, ruser, pdy, pdz; - double[] rinfo = new double[100], stats = new double[100]; - int ifail, isparse, nnzrd, nres, nvar, pdny, pdnz; - int[] iuser; - int[] icolrd = new int[1], irowrd = new int[1]; - long cpuser, handle; // c_ptr - MONIT monit = new MONIT(); - OBJFUN objfun = new OBJFUN(); - - /* Header */ - System.out.printf(" E04FFJ Example Program Results\n\n"); - - /* Fill problem data structure */ - pdny = 11; - pdnz = 11; - pdy = new double[] { - 4.0e0, 2.0e0, 1.0e0, 5.0e-1, 2.5e-1, 1.67e-1, 1.25e-1, 1.0e-1, - 8.33e-2, 7.14e-2, 6.25e-2 - }; - pdz = new double[] { - 1.957e-1, 1.947e-1, 1.735e-1, 1.6e-1, 8.44e-2, 6.27e-2, 4.56e-2, - 3.42e-2, 3.23e-2, 2.35e-2, 2.46e-2 - }; - nvar = 4; - nres = 11; - - /* Initialize handle */ - E04RA e04ra = new E04RA(); - handle = 0; - ifail = 0; // hard fail - e04ra.eval(handle, nvar, ifail); - handle = e04ra.getHANDLE(); - - /* Define residuals structure */ - E04RM e04rm = new E04RM(); - isparse = 0; // Dense => irowrd and icolrd are not accessed - nnzrd = 1; - ifail = 0; - e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); - - /* Set options */ - E04ZM e04zm = new E04ZM(); - ifail = 0; - e04zm.eval(handle, "DFLS Trust Region Tolerance = 5.0e-6", ifail); - ifail = 0; - e04zm.eval(handle, "Print Solution = YES", ifail); - - /* Define starting point */ - x = new double[] {0.25, 0.39, 0.415, 0.39}; - rx = new double[nres]; - - /* Define bounds for the second and the fourth variable */ - E04RH e04rh = new E04RH(); - lx = new double[] {-infbnd, 0.2, -infbnd, 0.3}; - ux = new double[] {infbnd, 1.0, infbnd, infbnd}; - ifail = 0; - e04rh.eval(handle, nvar, lx, ux, ifail); - - /* Call the solver */ - E04FF e04ff = new E04FF(); - ifail = -1; - iuser = new int[] {pdny, pdnz}; - ruser = new double[2 * nres]; - cpuser = 0L; - for (int i = 0; i < nres; i++) { - ruser[i] = pdy[i]; - ruser[nres + i] = pdz[i]; - } - e04ff.eval(handle, objfun, monit, nvar, x, nres, rx, rinfo, stats, - iuser, ruser, cpuser, ifail); - - /* Free handle memory */ - E04RZ e04rz = new E04RZ(); - ifail = 0; - e04rz.eval(handle, ifail); - - } - - public static class OBJFUN extends E04FF.Abstract_E04FF_OBJFUN { - - public void eval() { - int pdny, pdnz; - double r1, r2; - double[] pdy, pdz; - - /* Interrupt solver if the dimensions are incorrect */ - if (this.NRES != 11 || this.NVAR != 4) { - this.INFORM = -1; - return; - } - - /* Extract the problem data structure from the workspaces */ - pdny = this.IUSER[0]; - pdnz = this.IUSER[1]; - if (pdny != this.NRES || pdnz != this.NRES) { - this.INFORM = -1; - return; - } - pdy = Arrays.copyOfRange(this.RUSER, 0, pdny); - pdz = Arrays.copyOfRange(this.RUSER, pdny, pdny + pdnz); - - for (int i = 0; i < this.NRES; i++) { - r1 = pdy[i] * (pdy[i] + this.X[1]); - r2 = pdy[i] * (pdy[i] + this.X[2]) + this.X[3]; - this.RX[i] = pdz[i] - (this.X[0] * r1/r2); - } - - } - - } - - public static class MONIT extends E04FF.Abstract_E04FF_MONIT { - - public void eval() { - E04FFU e04ffu = new E04FFU(); - e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, - this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ffu.getINFORM(); - } - - } - -} diff --git a/simple_examples/source/int32/E04GBJE.java b/simple_examples/source/int32/E04GBJE.java deleted file mode 100644 index 7becf21..0000000 --- a/simple_examples/source/int32/E04GBJE.java +++ /dev/null @@ -1,183 +0,0 @@ -import com.nag.routines.A00.A00AA; -import com.nag.routines.E04.E04GB; -import com.nag.routines.E04.E04HEV; -import com.nag.routines.E04.E04YA; -import com.nag.routines.F06.DDOT; -import com.nag.routines.F06.F06PA; -import com.nag.routines.X02.X02AJ; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * E04GB example program text. - */ -public class E04GBJE { - - public static final int inc1 = 1, liw = 1, m = 15, n = 3, nt = 3; - public static final int ldfjac = m, ldv = n, lw = 7*n + m*n + 2*m + n*n; - public static final String trans = "T"; - public static double[] y; - public static double[] t; - - public static void main(String[] args) { - - double eta, fsumq = 0.0, stepmx, xtol; - int ifail, iprint, maxcal, nf = 0, niter = 0; - double[] fjac = new double[ldfjac * n]; - double[] fvec = new double[m]; - double[] g = new double[n]; - double[] s = new double[n]; - double[] v = new double[ldv * n]; - double[] w = new double[lw * n]; - double[] x = new double[n]; - int[] iw = new int[liw]; - - System.out.println(" E04GBJ Example Program Results"); - - // Data - y = new double[] { - 0.14, 0.18, 0.22, 0.25, 0.29, 0.32, 0.35, 0.39, 0.37, 0.58, 0.73, - 0.96, 1.34, 2.10, 4.39 - }; - - t = new double[m * nt]; - for (int i = 0; i < m; i++) { - t[i] = i + 1.0; - t[m + i] = 15.0 - i; - t[2*m + i] = -Math.abs(i - 7.0) + 8.0; - } - - // Check LSQFUN by calling E04YA at an arbitrary point - E04YA e04ya = new E04YA(); - LSQFUN lsqfun = new LSQFUN(); - x[0] = 0.19; - x[1] = -.34; - x[2] = 0.88; - ifail = 0; - e04ya.eval(m, n, lsqfun, x, fvec, fjac, ldfjac, iw, liw, w, lw, ifail); - - // Continue setting parameters for E04GB - E04GB e04gb = new E04GB(); - LSQMON lsqmon = new LSQMON(); - LSQLIN lsqlin = new LSQLIN(); - iprint = -1; // Set to 1 to obtain output from LSQMON at each iteration - maxcal = 50 * n; - eta = 0.09; // Since E04HEV is being used as LSQLIN - xtol = 10.0 * Math.sqrt((new X02AJ()).eval()); - stepmx = 10.0; - - // Set up the starting point - x[0] = 0.5; - x[1] = 1.0; - x[2] = 1.5; - - ifail = -1; - e04gb.eval(m, n, lsqlin, lsqfun, lsqmon, iprint, maxcal, eta, xtol, - stepmx, x, fsumq, fvec, fjac, ldfjac, s, v, ldv, niter, nf, iw, - liw, w, lw, ifail); - fsumq = e04gb.getFSUMSQ(); - x = e04gb.getX(); - ifail = e04gb.getIFAIL(); - - if (ifail == 0 || ifail >= 2) { - System.out.println(); - System.out.printf(" On exit, the sum of squares is %12.4f\n", fsumq); - System.out.printf(" at the point "); - for (int ii = 0; ii < n; ++ii) { - System.out.printf("%12.4f", x[ii]); - } - System.out.println(); - - lsqmon.lsqgrd(m, n, fvec, fjac, ldfjac, g); - - System.out.print(" The corresponding gradient is"); - for (int ii = 0; ii < n; ++ii) { - System.out.printf("%12.3E", g[ii]); - } - System.out.println(); - System.out.println(" (machine dependent)"); - System.out.println(" and the residuals are"); - for (int ii = 0; ii < m; ++ii) { - System.out.printf(" %9.1E\n", fvec[ii]); - } - System.out.println(); - } - - } - - /** Routine to evaluate the residuals and their 1st derivatives. */ - public static class LSQFUN extends E04GB.Abstract_E04GB_LSQFUN implements E04YA.E04YA_LSQFUN { - - public void eval() { - double denom, dummy; - - for (int i = 0; i < m; i++) { - denom = this.XC[1] * t[i + this.M] + this.XC[2] * t[i + 2*this.M]; - this.FVEC[i] = this.XC[0] + t[i] / denom - y[i]; - - if (this.IFLAG != 0) { - this.FJAC[i] = 1.0; - dummy = -1.0 / (denom * denom); - this.FJAC[i + ldfjac] = t[i] * t[i + this.M] * dummy; - this.FJAC[i + 2*ldfjac] = t[i] * t[i + 2*this.M] * dummy; - } - } - - } - - } - - public static class LSQMON extends E04GB.Abstract_E04GB_LSQMON { - - public static final int ndec = 3; - - /** Monitoring routine. */ - public void eval() { - double fsumsq, gtg; - double[] g = new double[ndec]; - DDOT ddot = new DDOT(); - - fsumsq = ddot.eval(this.M, this.FVEC, inc1, this.FVEC, inc1); - this.lsqgrd(this.M, this.N, this.FVEC, this.FJAC, this.LDFJAC, g); - gtg = ddot.eval(this.N, g, inc1, g, inc1); - - System.out.println(); - System.out.println(" Itn F evals SUMSQ GTG Grade"); - System.out.printf(" %4d %5d %13.5E %9.1E %3d\n", - this.NITER, this.NF, fsumsq, gtg, this.IGRADE); - System.out.println(); - System.out.println(" X G Singular values"); - for (int j = 0; j < n; j++) { - System.out.printf(" %13.5E %9.1E %9.1E\n", - this.XC[j], g[j], this.S[j]); - } - - } - - /** Routine to evaluate gradient of the sum of squares. */ - public void lsqgrd(int m, int n, double[] fvec, double[] fjac, int ldfjac, double[] g) { - F06PA f06pa = new F06PA(trans, m, n, 1.0, fjac, ldfjac, fvec, inc1, 0.0, g, inc1); - f06pa.eval(); - - for (int i = 0; i < n; ++i) { - g[i] = 2.0 * g[i]; - } - - } - - } - - /** Using E04HEV as LSQLIN. */ - private static class LSQLIN extends E04HEV implements E04GB.E04GB_LSQLIN { - - public void eval() { - super.eval(); - } - - } - -} diff --git a/simple_examples/source/int32/E04GGJE.java b/simple_examples/source/int32/E04GGJE.java deleted file mode 100644 index 8a18c6a..0000000 --- a/simple_examples/source/int32/E04GGJE.java +++ /dev/null @@ -1,219 +0,0 @@ -import com.nag.routines.E04.E04FFU; -import com.nag.routines.E04.E04GG; -import com.nag.routines.E04.E04GGV; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RH; -import com.nag.routines.E04.E04RM; -import com.nag.routines.E04.E04RX; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04ZM; - -/** - * E04GG example program text. - */ -public class E04GGJE { - - public static void main(String[] args) { - - final double infbnd = 1.0e20; - - long cpuser = 0, handle = 0; - int ifail, isparse, nnzrd, nres, nvar; - - double[] blx, bux, ruser, rx, x, z; - double[] rinfo = new double[100], stats = new double[100]; - int[] icolrd = new int[1], irowrd = new int[1], iuser = new int[1]; - - /* Header */ - System.out.println(" E04GGJ Example Program Results\n"); - - nvar = 6; - nres = 24; - // ruser = new double[2*nres]; - // Data from Lanczos 3 Problem - ruser = new double[] { - // t(:) = - 0.0e0, 5.0e-2, 1.0e-1, 1.5e-1, 2.0e-1, 2.5e-1, 3.0e-1, 3.5e-1, - 4.0e-1, 4.5e-1, 5.0e-1, 5.5e-1, 6.0e-1, 6.5e-1, 7.0e-1, 7.5e-1, - 8.0e-1, 8.5e-1, 9.0e-1, 9.5e-1, 1.0e0, 1.05e0, 1.10e0, 1.15e0, - // y(:) = - 2.5134, 2.0443, 1.6684, 1.3664, 1.1232, 0.9269, 0.7679, 0.6389, - 0.5338, 0.4479, 0.3776, 0.3197, 0.2720, 0.2325, 0.1997, 0.1723, - 0.1493, 0.1301, 0.1138, 0.1000, 0.0883, 0.0783, 0.0698, 0.0624 - }; - - iuser[0] = 0; - - // Initialize handle - ifail = 0; - E04RA e04ra = new E04RA(); - e04ra.eval(handle, nvar, ifail); - handle = e04ra.getHANDLE(); - - // Define residuals structure, isparse=0 means the residual structure is - // dense => irowrd and icolrd are not accessed - isparse = 0; - nnzrd = 0; - E04RM e04rm = new E04RM(); - e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); - - // Set options - E04ZM e04zm = new E04ZM(); - e04zm.eval(handle, "BXNL Use Second Derivatives = Yes",ifail); - e04zm.eval(handle, "BXNL Model = Gauss-Newton",ifail); - e04zm.eval(handle, "BXNL Glob Method = Reg",ifail); - // Change printed output verbosity - e04zm.eval(handle, "Print Level = 1",ifail); - - // Define starting point - rx = new double[nres]; - z = new double[nvar]; - // x = new double[nvar]; - x = new double[] { - 1.2, 0.3, 5.6, 5.5, 6.5, 7.6 - }; - - // Define bounds - blx = new double[nvar]; - bux = new double[nvar]; - blx[0] = 0.0; - bux[0] = 1.0; - blx[1] = -1.0; - bux[1] = infbnd; - blx[2] = -1.0; - bux[2] = infbnd; - blx[3] = -1.0; - bux[3] = infbnd; - blx[4] = -1.0; - bux[4] = 1.0; - blx[5] = -1.0; - bux[5] = 10.0; - E04RH e04rh = new E04RH(); - e04rh.eval(handle, nvar, blx, bux, ifail); - - // Call the solver - ifail = -1; - E04GG e04gg = new E04GG(); - LSQFUN lsqfun = new LSQFUN(); - LSQGRD lsqgrd = new LSQGRD(); - LSQHES lsqhes = new LSQHES(); - LSQHPRD lsqhprd = new LSQHPRD(); - MONIT monit = new MONIT(); - - e04gg.eval(handle,lsqfun,lsqgrd,lsqhes,lsqhprd,monit,nvar,x,nres,rx,rinfo,stats,iuser,ruser,cpuser,ifail); - ifail = e04gg.getIFAIL(); - - // Recover latest iterate from handle if available - if (ifail == 0) { - ifail = -1; - E04RX e04rx = new E04RX(); - e04rx.eval(handle,"X",1,nvar,z,ifail); - ifail = e04rx.getIFAIL(); - if (ifail == 0) { - System.out.println("\nSolver stored solution iterate in the handle"); - System.out.print("X: "); - for (int i = 0; i < nvar; i++){ - System.out.printf("%8.2E ", z[i]); - } - System.out.println(); - } - } - - // Free the handle memory - ifail = 0; - E04RZ e04rz = new E04RZ(); - e04rz.eval(handle, ifail); - - } - - public static class LSQFUN extends E04GG.Abstract_E04GG_LSQFUN { - - public void eval() { - for (int i = 0; i < this.NRES; i++){ - this.RX[i] = 0.0; - } - - for (int i = 0; i < this.NRES; i++){ - this.RX[i] = this.RUSER[this.NRES + i] - this.X[0] * Math.exp(-this.X[1] * this.RUSER[i]) - - this.X[2] * Math.exp(-this.X[3] * this.RUSER[i]) - this.X[4] * Math.exp(-this.X[5] * this.RUSER[i]); - } - - this.INFORM = 0; - } - } - - public static class LSQGRD extends E04GG.Abstract_E04GG_LSQGRD { - - public void eval() { - int i; - - for (i = 0; i < this.RDX.length; i++) { - this.RDX[i] = 0; - } - - for (i = 0; i < this.NRES; i++) { - this.RDX[i * this.NVAR + 0] = -Math.exp(-this.X[1] * this.RUSER[i]); - this.RDX[i * this.NVAR + 1] = this.RUSER[i] * this.X[0] * Math.exp(-this.X[1] * this.RUSER[i]); - this.RDX[i * this.NVAR + 2] = -Math.exp(-this.X[3] * this.RUSER[i]); - this.RDX[i * this.NVAR + 3] = this.RUSER[i] * this.X[2] * Math.exp(-this.X[3] * this.RUSER[i]); - this.RDX[i * this.NVAR + 4] = -Math.exp(-this.X[5] * this.RUSER[i]); - this.RDX[i * this.NVAR + 5] = this.RUSER[i] * this.X[4] * Math.exp(-this.X[5] * this.RUSER[i]); - } - - this.INFORM = 0; - } - } - - public static class LSQHES extends E04GG.Abstract_E04GG_LSQHES { - - public void eval() { - for (int i = 0; i < this.NVAR * this.NVAR; i++) { - this.HX[i] = 0.0; - } - - double sum21 = 0.0, sum22 = 0.0, sum43 = 0.0, sum44 = 0.0, sum65 = 0.0, sum66 = 0.0; - - for (int i = 0; i < this.NRES; i++){ - sum21 = sum21 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[1] * this.RUSER[i])); - sum22 = sum22 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[0] * Math.exp(-this.X[1] * this.RUSER[i])); - sum43 = sum43 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[3] * this.RUSER[i])); - sum44 = sum44 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[2] * Math.exp(-this.X[3] * this.RUSER[i])); - sum65 = sum65 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[5] * this.RUSER[i])); - sum66 = sum66 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[4] * Math.exp(-this.X[5] * this.RUSER[i])); - } - - this.HX[(2-1) + (1-1) * this.NVAR] = sum21; - this.HX[(1-1) + (2-1) * this.NVAR] = this.HX[(2-1) + (1-1) * this.NVAR]; - this.HX[(2-1) + (2-1) * this.NVAR] = sum22; - this.HX[(4-1) + (3-1) * this.NVAR] = sum43; - this.HX[(3-1) + (4-1) * this.NVAR] = this.HX[(4-1) + (3-1) * this.NVAR]; - this.HX[(4-1) + (4-1) * this.NVAR] = sum44; - this.HX[(6-1) + (5-1) * this.NVAR] = sum65; - this.HX[(5-1) + (6-1) * this.NVAR] = this.HX[(6-1) + (5-1) * this.NVAR]; - this.HX[(6-1) + (6-1) * this.NVAR] = sum66; - - this.INFORM = 0; - } - } - - public static class MONIT extends E04GG.Abstract_E04GG_MONIT { - - public void eval() { - E04FFU e04ffu = new E04FFU(); - e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, - this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ffu.getINFORM(); - } - } - - public static class LSQHPRD extends E04GG.Abstract_E04GG_LSQHPRD { - - public void eval() { - E04GGV e04ggv = new E04GGV(); - e04ggv.eval(this.NVAR, this.X, this.Y, this.NRES, this.HXY, - this.INFORM, this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ggv.getINFORM(); - } - } - -} diff --git a/simple_examples/source/int32/E04MTJE.java b/simple_examples/source/int32/E04MTJE.java deleted file mode 100644 index 6272e91..0000000 --- a/simple_examples/source/int32/E04MTJE.java +++ /dev/null @@ -1,132 +0,0 @@ -import com.nag.routines.E04.E04MT; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RF; -import com.nag.routines.E04.E04RH; -import com.nag.routines.E04.E04RJ; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04ZM; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.util.Arrays; - -/** - * E04MT example program text. - */ -public class E04MTJE { - - public static void main(String[] args) throws IOException { - - System.out.println(" E04MTJ Example Program Results"); - int m = 7; - int n = 7; - int nnza = 41; - int nnzc = 7; - int nnzu = 2*n + 2*m; - - int[] cindex = {1,2,3,4,5,6,7}; - double[] c = {-0.02,-0.20,-0.20,-0.20,-0.20, 0.04, 0.04}; - int[] irowa = {1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3, - 4,4,4,4,4,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7}; - int[] icola = {1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,4,5,6, - 1,2,3,4,5,1,2,5,1,2,3,4,5,6,1,2,3,4,5,6,7}; - double[] a = {1.00, 1.00, 1.00, 1.00, 1.00, 1.00, 1.00, - 0.15, 0.04, 0.02, 0.04, 0.02, 0.01, 0.03, - 0.03, 0.05, 0.08, 0.02, 0.06, 0.01,0.02, - 0.04, 0.01, 0.02, 0.02,0.02, 0.03, 0.01,0.70, - 0.75, 0.80, 0.75, 0.80, 0.97,0.02, 0.06, 0.08, - 0.12, 0.02, 0.01, 0.97}; - double[] bla = {-0.13,-1.0e20,-1.0e20,-1.0e20,-1.0e20, - -0.0992,-0.003}; - double[] bua = {-0.13,-0.0049,-0.0064,-0.0037,-0.0012, - 1.0e20, 0.002}; - double[] xl = {-0.01,-0.1,-0.01,-0.04,-0.1,-0.01,-0.01}; - double[] xu = {0.01,0.15,0.03,0.02,0.05,1.0e20,1.0e20}; - double[] dArrData = new double[nnza+2*m+3*n+nnzc+nnzu]; - - long handle = 0; - int ifail = 0; - E04RA e04ra = new E04RA(handle,n,ifail); - e04ra.eval(); - - handle = e04ra.getHANDLE(); - - int[] icolh = new int[1]; - int[] irowh = new int[1]; - double[] h = new double[1]; - E04RF e04rf = new E04RF(handle,nnzc,cindex,c,0,irowh,icolh,h,ifail); - e04rf.eval(); - handle = e04ra.getHANDLE(); - - E04RH e04rh = new E04RH(handle,n,xl,xu,ifail); - e04rh.eval(); - handle = e04rh.getHANDLE(); - - int idlc = 0; - E04RJ e04rj = new E04RJ(handle,m,bla,bua,nnza,irowa,icola,a,idlc,ifail); - e04rj.eval(); - handle = e04rj.getHANDLE(); - - E04ZM e04zm = new E04ZM(handle,"LPIPM Monitor Frequency = 1",ifail); - e04zm.eval(); - e04zm.setOPTSTR("LPIPM Stop Tolerance = 1.0e-10"); - e04zm.eval(); - e04zm.setOPTSTR("Print Solution = YES"); - e04zm.eval(); - e04zm.setOPTSTR("Print Options = NO"); - e04zm.eval(); - e04zm.setOPTSTR("LPIPM Centrality Correctors = -6"); - e04zm.eval(); - handle = e04zm.getHANDLE(); - - long cpuser = 2; - int[] iuser = {1}; - double[] ruser = new double[1]; - ifail = -1; - MONIT monit = new MONIT(); - double[] x = new double[n], u = new double[nnzu]; - double[] rinfo = new double[100], stats = new double[100]; - System.out.println(); - System.out.println("++++++++++ Use the Primal-Dual algorithm ++++++++++"); - E04MT e04mt = new E04MT(handle,n,x,nnzu,u,rinfo,stats, - monit,iuser,ruser,cpuser,ifail); - e04mt.eval(); - System.out.println(); - System.out.println("++++++++++ Use the Self-Dual algorithm ++++++++++"); - e04zm.setOPTSTR("LPIPM Algorithm = Self-Dual"); - e04zm.eval(); - e04zm.setOPTSTR("LPIPM Stop Tolerance 2 = 1.0e-11"); - e04zm.eval(); - iuser[0] = 2; - e04mt.setIFAIL(-1); - e04mt.setHANDLE(e04zm.getHANDLE()); - e04mt.setIUSER(iuser); - e04mt.eval(); - - } - - public static class MONIT extends E04MT.Abstract_E04MT_MONIT { - - public void eval() { - - double tol = 1.2e-8; - - if (IUSER[0] == 1) { - if ((RINFO[4] < tol) && (RINFO[5] < tol) && (RINFO[6] < tol)) { - System.out.println("Iteration " + Integer.toString((int)STATS[0])); - System.out.printf(" monit() reports good approximate solution (tol = %5.2E):\n", tol); - } - } - else { - if ((RINFO[14] < tol) && (RINFO[15] < tol) && (RINFO[16] < tol) && (RINFO[17] < tol)) { - System.out.println("Iteration " + Integer.toString((int)STATS[0])); - System.out.printf(" monit() reports good approximate solution (tol = %5.2E):\n", tol); - } - } - - } - - } - -} diff --git a/simple_examples/source/int32/E04MXJE.java b/simple_examples/source/int32/E04MXJE.java deleted file mode 100644 index 642a933..0000000 --- a/simple_examples/source/int32/E04MXJE.java +++ /dev/null @@ -1,292 +0,0 @@ -import com.nag.routines.E04.E04MX; -import com.nag.routines.E04.E04NP; -import com.nag.routines.E04.E04NQ; -import com.nag.routines.E04.E04NS; -import com.nag.routines.E04.E04NT; -import com.nag.routines.X04.X04AC; -import com.nag.routines.X04.X04AD; -import java.util.Arrays; - -/** - * E04MX example program text. - */ -public class E04MXJE { - - public static void main(String[] args) { - - /* Parameters */ - int lencw = 600, leniw = 600, lenrw = 600, mpslst = 1, nin = 7, nout = 6; - boolean readints = false; - String fname = args[0]; - /* Local Scalars */ - double obj, objadd, sinf; - int i, ifail, iobj, lenc, lintvar, m, maxlintvar, maxm, maxn, maxncolh, - maxnnz, maxnnzh, minmax, mode, n, ncolh, ninf, nname, nnz, nnzh, ns; - boolean verboseOutput; - String start; - /* Local Arrays */ - double[] a, bl, bu, c, h, pi, rc, ruser, rw, x; - int[] helast, hs, iccola, iccolh, intvar, irowa, irowh, iuser, iw; - String[] crname, cw; - String[] cuser = new String[1], pnames = new String[5]; - cuser[0] = " "; - for (int j = 0; j < 5; j++) { - pnames[j] = " "; - } - - System.out.println(" E04MXJ Example Program Results"); - - // Initialize - for (int j = 0; j < 5; j++) { - pnames[j] = " "; - } - maxm = 0; - maxn = 0; - maxnnz = 0; - maxnnzh = 0; - maxncolh = 0; - maxlintvar = 0; - - // Open the data file for reading - X04AC x04ac = new X04AC(); - mode = 0; - ifail = 0; - x04ac.eval(nin, fname, mode, ifail); - - // Prep call to E04MX in query mode - E04MX e04mx = new E04MX(); - a = new double[1]; - irowa = new int[1]; - iccola = new int[1]; - bl = new double[1]; - bu = new double[1]; - crname = new String[]{" "}; - h = new double[1]; - irowh = new int[1]; - iccolh = new int[1]; - intvar = new int[1]; - ifail = 0; - - // Placeholders for output only scalars - n = 0; - m = 0; - nnz = 0; - ncolh = 0; - nnzh = 0; - lintvar = 0; - iobj = 0; - nname = 0; - minmax = 0; - - // Make call to E04MX - e04mx.eval(nin, maxn, maxm, maxnnz, maxncolh, maxnnzh, maxlintvar, - mpslst, n, m, nnz, ncolh, nnzh, lintvar, iobj, a, irowa, - iccola, bl, bu, pnames, nname, crname, h, irowh, iccolh, - minmax, intvar, ifail); - - // Get output scalar values - n = e04mx.getN(); - m = e04mx.getM(); - nnz = e04mx.getNNZ(); - ncolh = e04mx.getNCOLH(); - nnzh = e04mx.getNNZH(); - lintvar = e04mx.getLINTVAR(); - iobj = e04mx.getIOBJ(); - nname = e04mx.getNNAME(); - minmax = e04mx.getMINMAX(); - ifail = e04mx.getIFAIL(); - - // Close file - X04AD x04ad = new X04AD(); - ifail = 0; - x04ad.eval(nin, ifail); - - // Set maxm, maxn and maxnnz - maxm = m; - maxn = n; - maxnnz = nnz; - maxnnzh = nnzh; - maxncolh = ncolh; - maxlintvar = (readints) ? lintvar : 1; - - // Allocate memory - irowa = new int[maxnnz]; - iccola = new int[maxn + 1]; - a = new double[maxnnz]; - bl = new double[maxn + maxm]; - bu = new double[maxn + maxm]; - crname = new String[maxn + maxm]; - for (int j = 0; j < (maxn + maxm); j++) { - crname[j] = " "; - } - irowh = new int[maxnnzh]; - iccolh = new int[maxncolh + 1]; - h = new double[maxnnzh]; - intvar = new int[maxlintvar]; - - // Open the data file for reading - mode = 0; - ifail = 0; - x04ac.eval(nin, fname, mode, ifail); - - // Call E04MX to read the problem - ifail = 0; - e04mx.eval(nin, maxn, maxm, maxnnz, maxncolh, maxnnzh, maxlintvar, - mpslst, n, m, nnz, ncolh, nnzh, lintvar, iobj, a, irowa, - iccola, bl, bu, pnames, nname, crname, h, irowh, iccolh, - minmax, intvar, ifail); - n = e04mx.getN(); - m = e04mx.getM(); - nnz = e04mx.getNNZ(); - ncolh = e04mx.getNCOLH(); - nnzh = e04mx.getNNZH(); - lintvar = e04mx.getLINTVAR(); - iobj = e04mx.getIOBJ(); - nname = e04mx.getNNAME(); - minmax = e04mx.getMINMAX(); - ifail = e04mx.getIFAIL(); - - // Close the data file - ifail = 0; - x04ad.eval(nin, ifail); - - /* Data has been read. Set up and run the solver */ - - iw = new int[leniw]; - rw = new double[lenrw]; - cw = new String[lencw]; - for (int j = 0; j < lencw; j++) { - cw[j] = " "; - } - - // Call E04NP to initialize workspace - E04NP e04np = new E04NP(); - ifail = 0; - e04np.eval(cw, lencw, iw, leniw, rw, lenrw, ifail); - - // Call option setter E04NS to change the direction of optimization. - // Minimization is assumed by default. - E04NS e04ns = new E04NS(); - if (minmax == 1) { - ifail = 0; - e04ns.eval("Maximize", cw, iw, rw, ifail); - } - else if (minmax == 0) { - ifail = 0; - e04ns.eval("Feasible Point", cw, iw, rw, ifail); - } - - // Set this to TRUE to cause E04NQ to produce intermediate progress output - verboseOutput = false; - - if (verboseOutput) { - // By default E04NQ does not print monitoring information. Set the print - // file unit or the summary file unit to get information. - E04NT e04nt = new E04NT(); - ifail = 0; - e04nt.eval("Print file", nout, cw, iw, rw, ifail); - } - else { - System.out.printf(" \n Problem contains %3d variables and %3d linear constraints\n", n, m); - } - - // We have no explicit objective vector so set LENC = 0; the objective vector - // is stored in row IOBJ of ACOL. - lenc = 0; - objadd = 0.0; - start = "C"; - - c = new double[Math.max(1, lenc)]; - helast = new int[n + m]; - x = new double[n + m]; - pi = new double[m]; - rc = new double[n + m]; - hs = new int[n + m]; - iuser = new int[ncolh + 1 + nnzh]; - ruser = new double[nnzh]; - - if (ncolh > 0) { - // Store the non zeros of H in ruser for use by qphx - for (int j = 0; j < nnzh; j++) { - ruser[j] = h[j]; - } - // Store iccolh and irowh in iuser for use by qphx - for (int j = 0; j < ncolh + 1; j++) { - iuser[j] = iccolh[j]; - } - for (int j = 0; j < nnzh; j++) { - iuser[j + ncolh + 1] = irowh[j]; - } - - } - - // Call E04NQ to solve the problem - E04NQ e04nq = new E04NQ(); - QPHX qphx = new QPHX(); - ns = 0; - ninf = 0; - sinf = 0.0; - obj = 0.0; - ifail = 0; - e04nq.eval(start, qphx, m, n, nnz, nname, lenc, ncolh, iobj, objadd, - pnames[0], a, irowa, iccola, bl, bu, c, crname, helast, hs, - x, pi, rc, ns, ninf, sinf, obj, cw, lencw, iw, leniw, rw, - lenrw,cuser,iuser,ruser,ifail); - ns = e04nq.getNS(); - ninf = e04nq.getNINF(); - sinf = e04nq.getSINF(); - obj = e04nq.getOBJ(); - ifail = e04nq.getIFAIL(); - - if (!verboseOutput) { - System.out.println(); - System.out.printf(" Final objective value = %11.3E\n", obj); - System.out.printf(" Optimal X = \n"); - System.out.printf(" "); - for (int j = 0; j < n; j++) { - System.out.printf("%9.2f", x[j]); - } - System.out.printf("\n"); - } - - } - - public static class QPHX extends E04NQ.Abstract_E04NQ_QPHX { - - /** - * Subroutine to compute H*x. - * Note: IUSER and RUSER contain the following data: - * RUSER(1:NNZH) = H(1:NNZH) - * IUSER(1:NCOLH+1) = ICCOLH(1:NCOLH+1) - * IUSER(NCOLH+2:NNZH+NCOLH+1) = IROWH(1:NNZH) - */ - public void eval() { - /* Local Scalars */ - int end, icol, idx, irow, start; - - Arrays.fill(HX, 0.0); - - for (icol = 0; icol < this.NCOLH + 1; ++icol) { - - start = this.IUSER[icol] - 1; - end = IUSER[icol+1] - 2; - - for (idx = start; idx < end + 1; ++idx) { - - irow = this.IUSER[this.NCOLH + 1 + idx] - 1; - this.HX[irow] += this.X[icol] * this.RUSER[idx]; - - if (irow != icol) { - this.HX[icol] += this.X[irow] * this.RUSER[idx]; - } - - } - - } - - } - - } - - -} diff --git a/simple_examples/source/int32/E04NCJE.java b/simple_examples/source/int32/E04NCJE.java deleted file mode 100644 index d6c3010..0000000 --- a/simple_examples/source/int32/E04NCJE.java +++ /dev/null @@ -1,246 +0,0 @@ -import static java.lang.Math.max; - -import com.nag.routines.E04.E04NC; -import com.nag.routines.E04.E04WB; -import com.nag.routines.F06.DGEMV; -import java.io.BufferedReader; -import java.io.FileReader; -import java.text.NumberFormat; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * E04NC example program text. - * @author ludovic - */ -public class E04NCJE { - - public static void main(String[] args) { - - double one = 1.0; - double zero = 0.0; - int inc1 = 1, lcwsav = 1, liwsav = 610, - llwsav = 120, lrwsav = 475, nin = 5, - nout = 6; - double obj; - int i, ifail, iter, lda, ldc, liwork, - lwork, m, n, nclin, sdc; - double[] a, b, bl, bu, c, - clamda, cvec, work, x; - double[] rwsav = new double[lrwsav]; - int[] istate, iwork, kx; - int[] iwsav = new int[liwsav]; - boolean[] lwsav = new boolean[llwsav]; - String[] cwsav = new String[lcwsav]; - - System.out.println(" E04NCJ Example Program Results"); - try { - - BufferedReader br = new BufferedReader(new FileReader(args[0])); - String line = br.readLine(); // read the header - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - String[] data = line.split("\\s+"); - m = Integer.parseInt(data[0]); - n = Integer.parseInt(data[1]); - nclin = Integer.parseInt(data[2]); - - liwork = n; - ldc = max(1,nclin); - lda = max(1,m); - - if (nclin > 0) { - sdc = n; - } - else { - sdc = 1; - } - - /* This particular example problem is of type LS1, so we allocate - * A(LDA,N), CVEC(1), B(M) and define LWORK as below - */ - if (nclin > 0) { - lwork = 2*n*n + 9*n + 6*nclin; - } - else { - lwork = 9*n; - } - - /* - * 2Ds arrays (size [n,m]) are stored in 1D arrays of size n*m, ordered by column - * ie: - * 1 1 1 - * 2 2 2 - * 3 3 3 - * - * is stored [1,2,3,1,2,3,1,2,3] - */ - istate = new int[n+nclin]; - kx = new int[n]; - iwork = new int[liwork]; - c = new double[ldc*sdc]; - bl = new double[n+nclin]; - bu = new double[n+nclin]; - cvec = new double[1]; - x = new double[n]; - a = new double[lda * n]; - b = new double[m]; - clamda = new double[n+nclin]; - work = new double[lwork]; - - /* - * Extra arrays to initialize: - */ - for (int ii = 0; ii < cwsav.length; ++ii) { - // 80 characters long... - cwsav[ii] - = " "; - } - - for (int ii = 0; ii < lda; ++ii) { - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - for (int jj = 0; jj < n; ++jj) { - a[lda*jj+ii] = Double.parseDouble(data[jj]); - } - } - - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - - for (int ii = 0; ii < m; ++ii) { - b[ii] = Double.parseDouble(data[ii]); - } - - for (int ii = 0; ii < ldc; ++ii) { - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - for (int jj = 0; jj < sdc; ++jj) { - c[ldc*jj+ii] = Double.parseDouble(data[jj]); - } - } - - //bl and bu to complicated to read properly -> hardcoded - line = br.readLine(); - line = br.readLine(); - bl[0] = 0.0; - bl[1] = 0.0; - bl[2] = -1.0E+25; - bl[3] = 0.0; - bl[4] = 0.0; - bl[5] = 0.0; - bl[6] = 0.0; - bl[7] = 0.0; - bl[8] = 0.0; - bl[9] = 2.0; - bl[10] = -1.0E+25; - bl[11] = 1.0; - - line = br.readLine(); - line = br.readLine(); - bu[0] = 2.0; - bu[1] = 2.0; - bu[2] = 2.0; - bu[3] = 2.0; - bu[4] = 2.0; - bu[5] = 2.0; - bu[6] = 2.0; - bu[7] = 2.0; - bu[8] = 2.0; - bu[9] = 1.0E+25; - bu[10] = 2.0; - bu[11] = 4.0; - - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - for (int ii = 0; ii < n; ++ii) { - x[ii] = Double.parseDouble(data[ii]); - } - - // CALL TO E04WBF - ifail = 0; - String routname = "E04NCA"; - E04WB e04wb = new E04WB(routname, cwsav, lcwsav, lwsav, llwsav, iwsav, liwsav, rwsav, - lrwsav, ifail); - e04wb.eval(); - cwsav = e04wb.getCWSAV(); - iwsav = e04wb.getIWSAV(); - lwsav = e04wb.getLWSAV(); - rwsav = e04wb.getRWSAV(); - - // CALL TO E04NCF - ifail = -1; - - /* Java needs these to be initialized, so set it to an impossible value - * to trap possible error later */ - iter = Integer.MIN_VALUE; - obj = Double.NaN; - - E04NC e04nc = new E04NC(m,n,nclin,ldc,lda,c,bl,bu,cvec,istate,kx,x,a,b,iter,obj, - clamda,iwork,liwork,work,lwork,lwsav,iwsav,rwsav,ifail); - e04nc.eval(); - - // Getting ifail's value back - ifail = e04nc.getIFAIL(); - - switch (ifail) { - case 0: - case 1: - case 2: - case 3: - case 4: - case 5: - case 7: - System.out.println("\n Varbl Istate Value Lagr Mult\n"); - - for (i = 0; i < n; ++i) { - System.out.printf(" V %3d %3d %14.3E %12.3E\n",(i+1), istate[i],x[i], clamda[i]); - } - - if (nclin > 0) { - DGEMV dgemv = new DGEMV(); - dgemv.eval("N",nclin,n,one,c,ldc,x,inc1,zero,work,inc1); - System.out.println("\n\n L Con Istate Value Lagr Mult\n"); - for (int ii = 0; ii < nclin; ++ii) { - System.out.printf(" L %3d %3d %14.3E %12.3E\n", - ii+1,istate[ii+n],work[ii],clamda[ii+n]); - } - } - - System.out.printf("\n\n Final objective value = %15.3E\n",e04nc.getOBJ()); - break; - default: - if (ifail > 7) { - System.out.println(" Varbl Istate Value Lagr Mult"); - for (i = 0; i < n; ++i) { - System.out.printf(" V %3d %3d %14.3E %12.3E)\n",(i+1), istate[i],x[i], clamda[i]); - } - - if (nclin > 0) { - DGEMV dgemv = new DGEMV(); - dgemv.eval("N",nclin,n,one,c,ldc,x,inc1,zero,work,inc1); - System.out.println(" L Con Istate Value Lagr Mult"); - for (int ii = 0; ii < nclin; ++ii) { - System.out.printf(" L %3d %3d %14.3E %12.3E\n", - ii+1,istate[ii+n],work[ii],clamda[ii+n]); - } - } - - System.out.printf("Final objective value is: %15.7f\n",e04nc.getOBJ()); - } - else { - System.out.println("E04NC returned with IFAIL = "+e04nc.getIFAIL()); - } - } - } - catch (Exception ex) { - Logger.getLogger(E04NCJE.class.getName()).log(Level.SEVERE, null, ex); - } - - } - -} diff --git a/simple_examples/source/int32/E04NFJE.java b/simple_examples/source/int32/E04NFJE.java deleted file mode 100644 index e341f9f..0000000 --- a/simple_examples/source/int32/E04NFJE.java +++ /dev/null @@ -1,234 +0,0 @@ -import com.nag.routines.E04.E04NF; -import com.nag.routines.E04.E04NH; -import com.nag.routines.E04.E04WB; -import com.nag.routines.E04.E54NFU; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.text.NumberFormat; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * E04NF example program text. - */ -public class E04NFJE { - - public static void main(String[] args) { - - /* Local Scalars */ - double obj; - int i, ifail, iter, lda, ldh, liwork, lwork, n, nclin, sda; - /* Local Arrays */ - double[] a, ax, bl, bu, clamda, cvec, h, work, x; - int[] istate, iwork; - - try { - - System.out.println(" E04NFJ Example Program Results"); - - if (args.length == 0) { - System.err.println("You need to provide the path to the data file e04nfae.d"); - System.exit(-1); - } - - // Read data from file - DataFile datafile = new DataFile(args[0]); - datafile.read(); - - liwork = 2 * datafile.n + 3; - lda = Math.max(1, datafile.nclin); - - sda = (datafile.nclin > 0) ? datafile.n : 1; - - // This particular example problem is of type QP2 with H stored explicitly, - // so we allocate CVEC(N) and H(LDH,N), and define LDH and LWORK as below - ldh = datafile.n; - - if (datafile.nclin > 0) { - lwork = 2 * datafile.n * datafile.n + 8 * datafile.n + 5 * datafile.nclin; - } - else { - lwork = datafile.n * datafile.n + 8 * datafile.n; - } - - istate = new int[datafile.n + datafile.nclin]; - ax = new double[Math.max(1, datafile.nclin)]; - iwork = new int[liwork]; - // h, bl, bu, cvec, x, a: already read from data file - clamda = new double[datafile.n + datafile.nclin]; - work = new double[lwork]; - - // Init routine - E04WB e04wb = new E04WB(); - int lcwsav = 1, liwsav = 610, llwsav = 120, lrwsav = 475; - String[] cwsav = new String[lcwsav]; - cwsav[0] - = " "; - int[] iwsav = new int[liwsav]; - boolean[] lwsav = new boolean[llwsav]; - double[] rwsav = new double[lrwsav]; - ifail = 0; - e04wb.eval("E04NFA", cwsav, lcwsav, lwsav, llwsav, iwsav, liwsav, rwsav, lrwsav, ifail); - - // Set print level to match E04NFF example output - E04NH e04nh = new E04NH(); - int inform = 0; - e04nh.eval("Print Level = 10", lwsav, iwsav, rwsav, inform); - - // Solve the problem - E04NF e04nf = new E04NF(); - double[] ruser = new double[1]; - int[] iuser = new int[1]; - iter = 0; - obj = Double.NaN; - ifail = 0; - e04nf.eval(datafile.n, datafile.nclin, datafile.a, datafile.lda, datafile.bl, - datafile.bu, datafile.cvec, datafile.h, datafile.ldh, new QPHESS(), istate, - datafile.x, iter, obj, ax, clamda, iwork, liwork, work, lwork, - iuser, ruser, lwsav, iwsav, rwsav, ifail); - - ifail = e04nf.getIFAIL(); - - } - catch (Exception ex) { - Logger.getLogger(E04NFJE.class.getName()).log(Level.SEVERE, null, ex); - } - - } - - /** Using E54NFU as a default. */ - public static class QPHESS extends E54NFU implements E04NF.E04NF_QPHESS { - - public void eval() { - super.eval(); - } - - } - - public static class DataFile { - - public String filename; - public int n, nclin, lda, sda, ldh; - public double[] cvec, a, bl, bu, x, h; - - public DataFile(String filename) { - this.filename = filename; - } - - public void read() throws FileNotFoundException, IOException { - BufferedReader dataIn = new BufferedReader(new FileReader(filename)); - String line = dataIn.readLine(); // skipping header - line = dataIn.readLine().trim(); - String[] lines = line.split(":");//removing comments - String[] dataLine = lines[0].split("\\s+"); - if (dataLine.length != 2) { - System.err.println("Something went wrong when reading the data file" - + " - can't read n and nclin!"); - System.exit(1); - } - n = Integer.parseInt(dataLine[0]); - nclin = Integer.parseInt(dataLine[1]); - - lda = Math.max(1, nclin); - - if (nclin > 0) { - sda = n; - } - else { - sda = 1; - } - ldh = n; - - cvec = new double[n]; - a = new double[lda * sda]; - bl = new double[n + nclin]; - bu = new double[n + nclin]; - x = new double[n]; - h = new double[ldh * n]; - - //reading cvec - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for cvec"); - System.exit(1); - } - - for (int i = 0; i < n; ++i) { - cvec[i] = Double.parseDouble(dataLine[i].trim().replaceAll("D", "E")); - } - - //reading a - for (int i = 0; i < lda; ++i) { - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != sda) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for a"); - System.exit(1); - } - for (int j = 0; j < sda; ++j) { - a[i + j * lda] = Double.parseDouble(dataLine[j].trim().replaceAll("D", "E")); - } - } - - //reading bl - //it's on two lines in the data file, so we need to merge them - line = dataIn.readLine().trim().split(":")[0].trim() + " " - + dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n + nclin) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for bl"); - System.exit(1); - } - for (int i = 0; i < n + nclin; ++i) { - bl[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); - } - - //reading bu - //it's on two lines in the data file, so we need to merge them - line = dataIn.readLine().trim().split(":")[0].trim() + " " - + dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n + nclin) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for bu"); - System.exit(1); - } - for (int i = 0; i < n + nclin; ++i) { - bu[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); - } - - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for x"); - System.exit(1); - } - for (int i = 0; i < n; ++i) { - x[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); - } - - for (int i = 0; i < ldh; ++i) { - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for h at line " + i); - System.exit(1); - } - for (int j = 0; j < n; ++j) { - h[i + j * ldh] = Double.parseDouble(dataLine[j].replaceAll("D", "E")); - } - } - - - } - } - -} diff --git a/simple_examples/source/int32/E04NKJE.java b/simple_examples/source/int32/E04NKJE.java deleted file mode 100644 index 604ee66..0000000 --- a/simple_examples/source/int32/E04NKJE.java +++ /dev/null @@ -1,295 +0,0 @@ -import com.nag.routines.E04.E04NK; -import com.nag.routines.E04.E04WB; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.util.Arrays; - -/** - * E04NKJ Example Program Text - * @author willa - * @since 27.1.0.0 - */ -public class E04NKJE{ - private static int lcwsav = 1; - private static int liwsav = 380; - private static int llwsav = 20; - private static int lrwsav = 285; - - /** - * E04NKJ Example main program. - */ - public static void main(String[] args){ - double obj, sinf; - int icol, ifail, iobj, jcol, leniz, lenz, m, miniz, minz, n, ncolh, ninf, nname, nnz, ns, i; - String start; - double[] a, bl, bu, clamda, xs, z, ruser, rwsav; - int[] ha, istate, iz, ka, iuser, iwsav; - boolean[] lwsav; - String[] crname, cwsav, names; - - System.out.println("E04NKJ Example Program Results"); - - ruser = new double[1]; - rwsav = new double[lrwsav]; - iuser = new int[1]; - iwsav = new int[liwsav]; - - cwsav = new String[lcwsav]; - //equivalent to ```Character (80) :: cwsav(lcwsav)``` - for(i = 0; i < lcwsav; i++){ - char[] chars = new char[80]; - Arrays.fill(chars, ' '); - cwsav[i] = new String(chars); - } - names = new String[5]; - //names all blank anyway this time - for(i = 0; i < 5; i++){ - char[] chars = new char[8]; - Arrays.fill(chars, ' '); - names[i] = new String(chars); - } - - //dummy arrays - crname = new String[0]; - - n = 7; - m = 8; - nnz = 48; - iobj = 8; - ncolh = 7; - start = "C"; - nname = 15; - - ha = new int[nnz]; - ka = new int[n + 1]; - istate = new int[n + m]; - a = new double[nnz]; - bl = new double[n + m]; - bu = new double[n + m]; - xs = new double[n + m]; - clamda = new double[n + m]; - crname = new String[nname]; - lwsav = new boolean[llwsav]; - - names[0] = " "; - names[1] = " "; - names[2] = " "; - names[3] = " "; - names[4] = " "; - - crname[0] = "...X1..."; - crname[1] = "...X2..."; - crname[2] = "...X3..."; - crname[3] = "...X4..."; - crname[4] = "...X5..."; - crname[5] = "...X6..."; - crname[6] = "...X7..."; - crname[7] = "..ROW1.."; - crname[8] = "..ROW2.."; - crname[9] = "..ROW3.."; - crname[10] = "..ROW4.."; - crname[11] = "..ROW5.."; - crname[12] = "..ROW6.."; - crname[13] = "..ROW7.."; - crname[14] = "..COST.."; - - //Matrix A. Set up KA - jcol = 1; - ka[0] = 1; - - a[0] = 0.02; ha[0] = 7; - a[1] = 0.02; ha[1] = 5; - a[2] = 0.03; ha[2] = 3; - a[3] = 1.00; ha[3] = 1; - a[4] = 0.70; ha[4] = 6; - a[5] = 0.02; ha[5] = 4; - a[6] = 0.15; ha[6] = 2; - a[7] = -200.00; ha[7] = 8; - a[8] = 0.06; ha[8] = 7; - a[9] = 0.75; ha[9] = 6; - a[10] = 0.03; ha[10] = 5; - a[11] = 0.04; ha[11] = 4; - a[12] = 0.05; ha[12] = 3; - a[13] = 0.04; ha[13] = 2; - a[14] = 1.00; ha[14] = 1; - a[15] = -2000.00; ha[15] = 8; - a[16] = 0.02; ha[16] = 2; - a[17] = 1.00; ha[17] = 1; - a[18] = 0.01; ha[18] = 4; - a[19] = 0.08; ha[19] = 3; - a[20] = 0.08; ha[20] = 7; - a[21] = 0.80; ha[21] = 6; - a[22] = -2000.00; ha[22] = 8; - a[23] = 1.00; ha[23] = 1; - a[24] = 0.12; ha[24] = 7; - a[25] = 0.02; ha[25] = 3; - a[26] = 0.02; ha[26] = 4; - a[27] = 0.75; ha[27] = 6; - a[28] = 0.04; ha[28] = 2; - a[29] = -2000.00; ha[29] = 8; - a[30] = 0.01; ha[30] = 5; - a[31] = 0.80; ha[31] = 6; - a[32] = 0.02; ha[32] = 7; - a[33] = 1.00; ha[33] = 1; - a[34] = 0.02; ha[34] = 2; - a[35] = 0.06; ha[35] = 3; - a[36] = 0.02; ha[36] = 4; - a[37] = -2000.00; ha[37] = 8; - a[38] = 1.00; ha[38] = 1; - a[39] = 0.01; ha[39] = 2; - a[40] = 0.01; ha[40] = 3; - a[41] = 0.97; ha[41] = 6; - a[42] = 0.01; ha[42] = 7; - a[43] = 400.00; ha[43] = 8; - a[44] = 0.97; ha[44] = 7; - a[45] = 0.03; ha[45] = 2; - a[46] = 1.00; ha[46] = 1; - a[47] = 400.00; ha[47] = 8; - - ka[1] = 9; - ka[2] = 17; - ka[3] = 24; - ka[4] = 31; - ka[5] = 39; - ka[6] = 45; - ka[7] = 49; - - bl[0] = 0.0; - bl[1] = 0.0; - bl[2] = 4.0e2; - bl[3] = 1.0e2; - bl[4] = 0.0; - bl[5] = 0.0; - bl[6] = 0.0; - bl[7] = 2.0e3; - bl[8] = -1.0e25; - bl[9] = -1.0e25; - bl[10] = -1.0e25; - bl[11] = -1.0e25; - bl[12] = 1.5e3; - bl[13] = 2.5e2; - bl[14] = -1.0e25; - - bu[0] = 2.0e2; - bu[1] = 2.5e3; - bu[2] = 8.0e2; - bu[3] = 7.0e2; - bu[4] = 1.5e3; - bu[5] = 1.0e25; - bu[6] = 1.0e25; - bu[7] = 2.0e3; - bu[8] = 6.0e1; - bu[9] = 1.0e2; - bu[10] = 4.0e1; - bu[11] = 3.0e1; - bu[12] = 1.0e25; - bu[13] = 3.0e2; - bu[14] = 1.0e25; - - istate[0] = 0; - istate[1] = 0; - istate[2] = 0; - istate[3] = 0; - istate[4] = 0; - istate[5] = 0; - istate[6] = 0; - istate[7] = 0; - - xs[0] = 0.0; - xs[1] = 0.0; - xs[2] = 0.0; - xs[3] = 0.0; - xs[4] = 0.0; - xs[5] = 0.0; - xs[6] = 0.0; - xs[7] = 0.0; - - ifail = 0; - E04WB e04wb = new E04WB("E04NKA",cwsav,lcwsav,lwsav,llwsav,iwsav,liwsav,rwsav, - lrwsav,ifail); - e04wb.eval(); - - leniz = 1; - lenz = 1; - iz = new int[leniz]; - z = new double[lenz]; - - QPHX qphx = new QPHX(); - - ifail = 1; - - //placeholders - ns = 0; - miniz = 0; - minz = 0; - ninf = 0; - sinf = 0.0; - obj = 0.0; - - E04NK e04nk = new E04NK(n,m,nnz,iobj,ncolh,qphx,a,ha,ka,bl,bu,start,names,nname, - crname,ns,xs,istate,miniz,minz,ninf,sinf,obj,clamda,iz, - leniz,z,lenz,iuser,ruser,lwsav,iwsav,rwsav,ifail); - e04nk.eval(); - ifail = e04nk.getIFAIL(); - - minz = e04nk.getMINZ(); - miniz = e04nk.getMINIZ(); - - lenz = minz; - leniz = miniz; - - iz = new int[leniz]; - z = new double[lenz]; - - ifail = -1; - - e04nk.eval(n,m,nnz,iobj,ncolh,qphx,a,ha,ka,bl,bu,start,names,nname,crname,ns,xs, - istate,miniz,minz,ninf,sinf,obj,clamda,iz,leniz,z,lenz,iuser,ruser, - lwsav,iwsav,rwsav,ifail); - - //update - ifail = e04nk.getIFAIL(); - obj = e04nk.getOBJ(); - - if(ifail == 0){ - System.out.println(); - System.out.println("\tVariable Istate Value Lagr Mult"); - System.out.println(); - - for(i = 0; i < n; i++){ - System.out.printf("\t%s\t%d\t%.6g\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); - } - - if(m > 0){ - System.out.println(); - System.out.println(); - System.out.println("\tConstrnt Istate Value\t\t Lagr Mult"); - System.out.println(); - - for(i = n; i < n + m - 1; i++){ - System.out.printf("\t%s\t%d\t%.6g\t\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); - } - System.out.printf("\t%s\t%d\t%.6g\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); - } - - System.out.println(); - System.out.println(); - System.out.printf("Final objetive value = %15.7g\n", obj); - } - - } - - public static class QPHX extends E04NK.Abstract_E04NK_QPHX{ - public void eval(){ - this.HX[0] = 2 * this.X[0]; - this.HX[1] = 2 * this.X[1]; - this.HX[2] = 2 * (this.X[2] + this.X[3]); - this.HX[3] = this.HX[2]; - this.HX[4] = 2 * this.X[4]; - this.HX[5] = 2 * (this.X[5] + this.X[6]); - this.HX[6] = this.HX[5]; - } - } -} diff --git a/simple_examples/source/int32/E04NQJE.java b/simple_examples/source/int32/E04NQJE.java deleted file mode 100644 index 6cf84fe..0000000 --- a/simple_examples/source/int32/E04NQJE.java +++ /dev/null @@ -1,384 +0,0 @@ -import com.nag.routines.E04.E04NP; -import com.nag.routines.E04.E04NQ; -import com.nag.routines.E04.E04NT; -import java.io.BufferedReader; -import java.io.File; -import java.io.FileReader; -import java.io.IOException; -import java.util.Arrays; - -/** - * E04NQ example program text. - */ -public class E04NQJE { - - public static final int LENCW = 600; - public static final int LENIW = 600; - public static final int LENRW = 600; - public static final int NIN = 5; - public static final int NOUT = 6; - - public static void main(String[] args) throws IOException { - - /* Local Scalars */ - double obj, objadd, sinf; - int i, icol, ifail, iobj, jcol, lenc, m, n, ncolh, ne, ninf, nname, ns; - boolean verboseOutput; - String prob; // Length = 8 - String start; // Length = 1 - /* Local Arrays */ - double[] acol, bl, bu, c, pi, rc, x; - double[] ruser = new double[1], rw = new double[LENRW]; - int[] helast, hs, inda, loca; - int[] iuser = new int[1], iw = new int[LENIW]; - String[] cuser = new String[1], cw = new String[LENCW]; // Length = 8 - String[] names; // Length = 8 - /* Init String arrays with same length*/ - Arrays.fill(cuser, " "); - Arrays.fill(cw, " "); - - System.out.println(" E04NQJ Example Program Results"); - - /* Read data file */ - - if (args.length != 1) { - usage(); - } - BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); - String line; - - // Skip heading in data file - line = dataIn.readLine(); - - // Read n, m - line = dataIn.readLine(); - String[] data = line.split(":")[0].trim().split("\\s+"); - if (data.length != 2) { - System.out.println("Data file badly formatted - expected 2 ints separated by blank spaces.\n" - + line + "\n"+Arrays.toString(data)); - System.exit(1); - } - n = Integer.parseInt(data[0]); - m = Integer.parseInt(data[1]); - - // Read ne, iobj, ncolh, start, nname - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - if (data.length != 5) { - System.out.println("Data file badly formatted - expected 5 ints separated by blank spaces"); - System.exit(1); - } - ne = Integer.parseInt(data[0]); - iobj = Integer.parseInt(data[1]); - ncolh = Integer.parseInt(data[2]); - start = data[3].replaceAll("'",""); - nname = Integer.parseInt(data[4]); - - // Allocate - inda = new int[ne]; - loca = new int[n+1]; - helast = new int[n+m]; - hs = new int[n+m]; - acol = new double[ne]; - bl = new double[n+m]; - bu = new double[n+m]; - x = new double[n+m]; - pi = new double[m]; - rc = new double[n+m]; - names = new String[nname]; - - // Read names - line = dataIn.readLine(); // skipping blank line - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - int nameIndex = 0; - int dataIndex = 0; - while (nameIndex < nname) { - names[nameIndex] = data[dataIndex].replaceAll("'", ""); - ++nameIndex; - ++dataIndex; - if (nameIndex < nname && dataIndex == data.length) { - //need to read one more line - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - dataIndex = 0; - } - } - - // Read matrix - line = dataIn.readLine(); // skipping blank line - int locaIndex = 0; - int currentCol = 0; - for (i = 0; i < ne; ++i) { - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - if (data.length != 3) { - System.out.println("The line is not well formatted for input of A:\n\t"+line); - System.exit(1); - } - acol[i] = Double.parseDouble(data[0].replaceAll("d", "e").replaceAll("D", "e")); - inda[i] = Integer.parseInt(data[1]); - if (i == 0) { - loca[locaIndex] = 1;//storing for Fortran use: 1-based - ++locaIndex; - ++currentCol; - } - else { - int tmp = Integer.parseInt(data[2]); - if (tmp != currentCol) { - loca[locaIndex] = i+1; - ++currentCol; - ++locaIndex; - } - } - } - loca[n] = ne + 1; - - // Read bl - line = dataIn.readLine(); // skipping blank line - int blindex = 0; - dataIndex = 0; - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - while (blindex < bl.length) { - bl[blindex] = Double.parseDouble(data[dataIndex].replaceAll("d", "e").replaceAll("D", "e")); - ++blindex; - ++dataIndex; - if (blindex < bl.length && dataIndex == data.length) { - //need to read one more line - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - dataIndex = 0; - } - } - - // Read bu - line = dataIn.readLine(); // skipping blank line - int buindex = 0; - dataIndex = 0; - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - while (buindex < bu.length) { - bu[buindex] = Double.parseDouble(data[dataIndex].replaceAll("d", "e").replaceAll("D", "e")); - ++buindex; - ++dataIndex; - if (buindex < bu.length && dataIndex == data.length) { - //need to read one more line - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - dataIndex = 0; - } - } - - // Read hs - line = dataIn.readLine(); // skipping blank line - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - if (start.equalsIgnoreCase("C")) { - if (data.length != n) { - System.out.println("Wrong format for HS data.\n"); - System.exit(1); - } - } - else { - if (data.length != n+m) { - System.out.println("Wrong format for HS data.\n"); - System.exit(1); - } - } - for (i = 0; i < data.length; ++i) { - hs[i] = Integer.parseInt(data[i]); - } - - // Read x - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - if (data.length != n) { - System.out.println("Wrong format for X data."); - System.exit(1); - } - for (i = 0; i < data.length; ++i) { - x[i] = Double.parseDouble(data[i].replaceAll("d", "e").replaceAll("D", "e")); - } - - /* Done reading data file */ - - System.out.printf(" \n QP problem contains %3d variables and %3d linear constraints\n", n, m); - - /* Call E04NP to initialize E04NQ. */ - E04NP e04np = new E04NP(); - ifail = 0; - e04np.eval(cw,LENCW,iw,LENIW,rw,LENRW,ifail); - - /* Set this to .True. to cause e04nqf to produce intermediate - * progress output. */ - verboseOutput = true; - - if (verboseOutput) { - /* By default e04nqf does not print monitoring - * information. Set the print file unit or the summary - * file unit to get information. */ - E04NT e04nt = new E04NT(); - ifail = 0; - e04nt.eval("Print file", NOUT, cw, iw, rw, ifail); - } - - /* We have no explicit objective vector so set LENC = 0; the - * objective vector is stored in row IOBJ of ACOL. */ - lenc = 0; - c = new double[Math.max(1,lenc)]; - objadd = 0.0; - sinf = 0.0; - obj = Double.NaN; - prob = " "; - - /* Do not allow any elastic variables (i.e. they cannot be - * infeasible). If we'd set optional argument "Elastic mode" to 0, - * we wouldn't need to set the individual elements of array HELAST. */ - - for (int j = 0; j < (n+m); j++) { - helast[j] = 0; - } - - /* Solve the QP problem. */ - - E04NQ e04nq = new E04NQ(); - ifail = 0; - ns = 0; - ninf = 0; - e04nq.eval(start,new QPHX(ncolh),m,n,ne,nname,lenc,ncolh,iobj,objadd,prob,acol, - inda,loca,bl,bu,c,names,helast,hs,x,pi,rc,ns,ninf,sinf,obj,cw,LENCW, - iw,LENIW,rw,LENRW,cuser,iuser,ruser,ifail); - - System.out.println(); - System.out.printf(" Final objective value = %11.3E\n",e04nq.getOBJ()); - System.out.print(" Optimal X = "); - for (i = 0; i < n; ++i) { - System.out.printf("%9.2f ", x[i]); - } - System.out.println(); - - } - - private static void usage() { - System.out.println("Usage:\n" - + "\tjava -cp " + File.separator + "NAGJava.jar" + File.pathSeparator - + ". E04NQJE " + File.separator + "e04nqfe.d"); - System.exit(1); - } - - public static class QPHX implements E04NQ.E04NQ_QPHX { - - private int NCOLHREF; - - public QPHX(int NCOLHREF) { - this.NCOLHREF = NCOLHREF; - } - - // @Override - public void eval(int NCOLH, double[] X, double[] HX, int NSTATE, - String[] CUSER, int[] IUSER, double[] RUSER) { - - if (NCOLH != NCOLHREF) { - System.out.println("NCOLH value is wrong!"); - System.out.println("TEST FAILED"); - System.exit(1); - } - HX[0] = 2.0*X[0]; - HX[1] = 2.0*X[1]; - HX[2] = 2.0*(X[2]+X[3]); - HX[3] = HX[2]; - HX[4] = 2.0*X[4]; - HX[5] = 2.0*(X[5]+X[6]); - HX[6] = HX[5]; - - } - - private String[] CUSER; - private double[] HX,RUSER,X; - private int[] IUSER; - private int NCOLH, NSTATE; - - // @Override - public String[] getCUSER() { - return CUSER; - } - - // @Override - public double[] getHX() { - return HX; - } - - // @Override - public int[] getIUSER() { - return IUSER; - } - - // @Override - public int getNCOLH() { - return NCOLH; - } - - // @Override - public int getNSTATE() { - return NSTATE; - } - - // @Override - public double[] getRUSER() { - return RUSER; - } - - // @Override - public double[] getX() { - return X; - } - - // @Override - public void setCUSER(String[] arg0) { - CUSER = arg0; - - } - - // @Override - public void setHX(double[] arg0) { - HX = arg0; - - } - - // @Override - public void setIUSER(int[] arg0) { - IUSER = arg0; - - } - - // @Override - public void setNCOLH(int arg0) { - NCOLH = arg0; - - } - - // @Override - public void setNSTATE(int arg0) { - NSTATE = arg0; - - } - - // @Override - public void setRUSER(double[] arg0) { - RUSER = arg0; - - } - - // @Override - public void setX(double[] arg0) { - X = arg0; - - } - - } - - - - -} diff --git a/simple_examples/source/int32/E04PTJE.java b/simple_examples/source/int32/E04PTJE.java deleted file mode 100644 index 75303ac..0000000 --- a/simple_examples/source/int32/E04PTJE.java +++ /dev/null @@ -1,344 +0,0 @@ -import com.nag.routines.E04.E04PT; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RB; -import com.nag.routines.E04.E04RE; -import com.nag.routines.E04.E04RH; -import com.nag.routines.E04.E04RJ; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04ZM; -import com.nag.routines.F08.DSYEVD; -import java.util.Arrays; - -/** - * E04PTJ example program text. - * @author joed - * @since 27.0.0.0 - */ -public class E04PTJE { - - - /** - * Monitoring function can be used to monitor the progress - * or, for example, to implement bespoke stopping criteria. - */ - private static class MONIT extends E04PT.Abstract_E04PT_MONIT { - - public void eval() { - - double tol = RUSER[0]; - int tolReached = IUSER[1]; - - // If x is close to the solution, print a message - if ((RINFO[14] < tol) && (RINFO[15] < tol) && (RINFO[16] < tol) && (RINFO[17] < tol)) { - if (tolReached == 0) { - System.out.println(); - System.out.printf("monit() reports good approximate solution (tol = %9.2E)\n", tol); - IUSER[1] = 1; - } - } - - } - - } - - - /** - * E04PTJ example main program. - */ - public static void main(String[] args) { - - DSYEVD dsyevd = new DSYEVD(); - E04PT e04pt = new E04PT(); - E04RA e04ra = new E04RA(); - E04RB e04rb = new E04RB(); - E04RE e04re = new E04RE(); - E04RH e04rh = new E04RH(); - E04RJ e04rj = new E04RJ(); - E04RZ e04rz = new E04RZ(); - E04ZM e04zm = new E04ZM(); - MONIT monit = new MONIT(); - - final int nqc = 1; - long cpuser, handle; - double r1; - int i, idgroup, idlc, idxa, ifail, j, liwork, lwork, m, n, na, nnza, nnzp0, - nnzp1, nnzu, nnzuc, nu, nv, nvarc1, nvarc2, rptr, xIdx; - boolean verboseOutput; - String ctype1, ctype2; // Length must be 8 - double[] a, bla, bua, c, f0, f1, lambda0, lambda1, p0, p1, q0, q1, u, uc, - work, x, xl, xu; - double[] rinfo = new double[100], ruser = new double[1], stats = new double[100]; - int[] icola, icolp0, icolp1, idxc1, idxc2, irowa, irowp0, irowp1, iwork; - int[] iuser = new int[2]; - - System.out.println("E04PTJ Example Program Results\n"); - - // Dimensions of the problem - n = 3; - nnzp0 = 6; - nnzp1 = 6; - - // Initialize size of linear constraints in SOCP - m = nqc; - na = n + nqc + 1; - nnza = nqc + n; - - // Initialize size of cone constraints - nvarc1 = 2; - nvarc2 = 2; - - // Set problem data - lwork = Math.max(2*n*n+6*n+1, 120+9*n); - liwork = 5*n + 3; - irowp0 = new int[]{1, 2, 3, 2, 3, 3}; - icolp0 = new int[]{1, 1, 1, 2, 2, 3}; - p0 = new double[]{0.493, 0.382, 0.270, 0.475, 0.448, 0.515}; - irowp1 = new int[]{1, 2, 3, 2, 3, 3}; - icolp1 = new int[]{1, 1, 1, 2, 2, 3}; - p1 = new double[]{0.737, 0.453, 1.002, 0.316, 0.635, 1.590}; - q0 = new double[]{0.847, 0.08, 0.505}; - q1 = new double[]{0.065, 0.428, 0.097}; - r1 = 1.276; - f0 = new double[n*n]; - f1 = new double[n*n]; - lambda0 = new double[n]; - lambda1 = new double[n]; - work = new double[lwork]; - iwork = new int[liwork]; - - // Store full P0 and P1 in F0 and F1 - Arrays.fill(f0, 0.0); - for (i = 0; i < nnzp0; i++) { - f0[getIdx(irowp0[i], icolp0[i], n)] = p0[i]; - } - Arrays.fill(f1, 0.0); - for (i = 0; i < nnzp1; i++) { - f1[getIdx(irowp1[i], icolp1[i], n)] = p1[i]; - } - - // Factorize P0 and P1 via eigenvalue decomposition - ifail = 0; - dsyevd.eval("V", "L", n, f0, n, lambda0, work, lwork, iwork, liwork, ifail); - dsyevd.eval("V", "L", n, f1, n, lambda1, work, lwork, iwork, liwork, ifail); - - // Fomulate F0 and F1 in P0 = F0'*F0, P1 = F1'*F1 - nu = 0; - nv = 0; - for (i = 1; i <= n; i++) { - if (lambda0[i-1] > 0) { - for (j = 1; j <= n; j++) { - f0[getIdx(j,i,n)] *= Math.sqrt(lambda0[i-1]); - } - m++; - nu++; - nnza += n; - } - if (lambda1[i-1] > 0) { - for (j = 1; j <= n; j++) { - f1[getIdx(j,i,n)] *= Math.sqrt(lambda1[i-1]); - } - m++; - nv++; - nnza += n; - } - } - nnza += nu + nv; - na += nu+ nv; - nvarc1 += nu; - nvarc2 += nv; - - // Add two fixed variable for two rotated quadratic cones - na += 2; - m += 2; - nnza += 2; - - // Compute size of multipliers - nnzu = 2*na + 2*m; - nnzuc = nvarc1 + nvarc2; - - // Initialize arrays to build SOCP - icola = new int[nnza]; - irowa = new int[nnza]; - a = new double[nnza]; - bla = new double[m]; - bua = new double[m]; - xl = new double[na]; - xu = new double[na]; - c = new double[na]; - x = new double[na]; - u = new double[nnzu]; - uc = new double[nnzuc]; - idxc1 = new int[nvarc1]; - idxc2 = new int[nvarc2]; - - // Build objective function parameter c - // [x, t1, u, v, y1, y2, t0] - Arrays.fill(c, 0.0); - for (j = 0; j < n; j++) { - c[j] = q0[j]; - } - c[na-1] = 1.0; - - // Build linear constraints parameter A - idxa = 0; - rptr = 0; - // q1 in First row - rptr++; - Arrays.fill(irowa, 0, n, rptr); - for (j = 0; j < n; j++) { - icola[j] = j+1; - a[j] = q1[j]; - } - idxa += n; - - // F0 in F0*x-u=0 row - for (i = 1; i <= n; i++) { - if (lambda0[i-1] > 0) { - rptr += 1; - for (j = 0; j < n; j++) { - irowa[idxa+j] = rptr; - icola[idxa+j] = j+1; - a[idxa+j] = f0[getIdx(j+1,i,n)]; - } - idxa += n; - } - } - // F1 in F1*x-v=0 row - for (i = 1; i <= n; i++) { - if (lambda1[i-1] > 0) { - rptr += 1; - for (j = 0; j < n; j++) { - irowa[idxa+j] = rptr; - icola[idxa+j] = j+1; - a[idxa+j] = f1[getIdx(j+1,i,n)]; - } - idxa += n; - } - } - // Rest of A, a diagonal matrix - for (j = 0; j < m; j++) { - irowa[idxa+j] = j+1; - icola[idxa+j] = n+j+1; - a[idxa+j] = 1.0; - } - for (j = 1; j < (nu+nv+1); j++) { - a[idxa+j] = -1.0; - } - // RHS in linear constraints - Arrays.fill(bla, 0.0); - Arrays.fill(bua, 0.0); - bla[0] = -r1; - bua[0] = -r1; - for (j = (m-nqc); j <= m; j++) { - bla[j-1] = 1.0; - bua[j-1] = 1.0; - } - - // Box constraints, all variables are free - Arrays.fill(xl, -1E+20); - Arrays.fill(xu, 1E+20); - - // Cone constraints - // First cone - idxc1[0] = na; - idxc1[1] = n + 1 + nu + nv + 1; - for (j = 2; j < nvarc1; j++) { - idxc1[j] = n + j; - } - ctype1 = "RQUAD "; - // Second cone - idxc2[0] = n + 1; - idxc2[1] = n + 1 + nu + nv + 2; - for (j = 2; j < nvarc2; j++) { - idxc2[j] = n + nu + j; - } - ctype2 = "RQUAD "; - - // Create the problem handle - handle = 0; - ifail = 0; - e04ra.eval(handle, na, ifail); - handle = e04ra.getHANDLE(); - - // Set objective function - ifail = 0; - e04re.eval(handle, na, c, ifail); - - // Set box constraints - ifail = 0; - e04rh.eval(handle, na, xl, xu, ifail); - - // Set linear constraints - ifail = 0; - idlc = 0; - e04rj.eval(handle, m, bla, bua, nnza, irowa, icola, a, idlc, ifail); - idlc = e04rj.getIDLC(); - - // Set first cone constraint - ifail = 0; - idgroup = 0; - e04rb.eval(handle, ctype1, nvarc1, idxc1, idgroup, ifail); - idgroup = e04rb.getIDGROUP(); - - // Set first cone constraint - ifail = 0; - idgroup = 0; - e04rb.eval(handle, ctype2, nvarc2, idxc2, idgroup, ifail); - idgroup = e04rb.getIDGROUP(); - - // Turn on monitoring - ifail = 0; - e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); - - /* Set this to true to cause e04pt to produce intermediate - * progress output */ - verboseOutput = false; - - if (verboseOutput) { - // Require printing of primal and dual solutions at the end of the solve - ifail = 0; - e04zm.eval(handle, "Print Solution = YES", ifail); - } - else { - // Turn off printing of intermediate progress output - ifail = 0; - e04zm.eval(handle, "Print Level = 1", ifail); - } - - // Call SOCP interior point solver - cpuser = 0; - iuser[0] = 0; // unused in this example - iuser[1] = 0; - ruser[0] = 1.0E-7; - ifail = -1; - e04pt.eval(handle, na, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, - ruser, cpuser, ifail); - ifail = e04pt.getIFAIL(); - - // Print solution if optimal or suboptimal solution found - if (ifail == 0 || ifail == 50) { - System.out.println(" Optimal X:"); - System.out.println(" x_idx Value "); - for (xIdx = 1; xIdx <= n; xIdx++) { - System.out.printf(" %5d %11.3E\n", xIdx, x[xIdx-1]); - } - } - - // Free the handle memory - ifail = 0; - e04rz.eval(handle, ifail); - - } - - - /** - * Convert from 2D Fortran index to 1D-column major Java index. - * @param x 1-based row index for a 2D array - * @param y 1-based column index for a 2D array - * @return the corresponding 0-based index for a 1D column-major array - */ - private static int getIdx(int x, int y, int dimX) { - return ((y-1) * dimX) + (x-1); - } - -} diff --git a/simple_examples/source/int32/E04RPJE.java b/simple_examples/source/int32/E04RPJE.java deleted file mode 100644 index d22d3d1..0000000 --- a/simple_examples/source/int32/E04RPJE.java +++ /dev/null @@ -1,199 +0,0 @@ -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RE; -import com.nag.routines.E04.E04RN; -import com.nag.routines.E04.E04RP; -import com.nag.routines.E04.E04RY; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04SV; - -/** - * E04RPJ Example Program Text - * @author willa - * @since 27.1.0.0 - */ - -public class E04RPJE{ - - /** - * E04RPJ Example main program - */ - public static void main(String[] args){ - int blkidx, dimaq, idblk, idlc, idx, idxend, ifail, inform, midx, nblk, nclin, - nnzasum, nnzb, nnzc, nnzh, nnzqsum, nnzu, nnzua, nnzuc, nq, nvar; - double[] a, b, bl, bu, cvec, h, q, x, rdummy, rinfo, stats; - int[] icola, icolb, icolh, icolq, idxc, irowa, irowb, irowh, irowq, nnza, - nnzq, qi, qj, idummy; - long cpuser, handle; - - rdummy = new double[1]; - rinfo = new double[32]; - stats = new double[32]; - idummy = new int[1]; - - System.out.println("E04RPJ Example Program Results"); - System.out.println(); - - //Problem size - nvar = 5; - nnzh = 0; - nclin = 0; - nnzb = 0; - nblk = 2; - - //Initialize handle to an empty problem - E04RA e04ra = new E04RA(); - handle = 0; - ifail = 0; - e04ra.eval(handle, nvar, ifail); - handle = e04ra.getHANDLE(); - - //Linear part of the objective function - cvec = new double[nvar]; - cvec[0] = 1; - cvec[1] = 0; - cvec[2] = 1; - cvec[3] = 0; - cvec[4] = 0; - - //Add the linear objetive function to the problem formulation - ifail = 0; - E04RE e04re = new E04RE(handle, nvar, cvec, ifail); - e04re.eval(); - - //Matrix inequalities - //block 1 - dimaq = 2; - nnzasum = 9; nnzqsum = 8; - idblk = 0; - - nnza = new int[nvar + 1]; - irowa = new int[nnzasum]; - icola = new int[nnzasum]; - a = new double[nnzasum]; - - nnza[0] = 2; - nnza[1] = 2; - nnza[2] = 3; - nnza[3] = 2; - nnza[4] = 0; - nnza[5] = 0; - - a[0] = 1.0; irowa[0] = 1; icola[0] = 1; - a[1] = 1.0; irowa[1] = 2; icola[1] = 2; - a[2] = 2.0; irowa[2] = 1; icola[2] = 1; - a[3] = -2.0; irowa[3] = 1; icola[3] = 2; - a[4] = 6.0; irowa[4] = 1; icola[4] = 1; - a[5] = 5.0; irowa[5] = 1; icola[5] = 2; - a[6] = -4.0; irowa[6] = 2; icola[6] = 2; - a[7] = 3.0; irowa[7] = 1; icola[7] = 2; - a[8] = 8.0; irowa[8] = 2; icola[8] = 2; - - idblk = 0; - ifail = 0; - //Add the linear matrix inequality to the problem formulation - E04RN e04rn = new E04RN(handle,nvar,dimaq,nnza,nnzasum,irowa,icola,a,1, - idummy,idblk,ifail); - e04rn.eval(); - //update - idblk = e04rn.getIDBLK(); - - nq = 6; - - qi = new int[nq]; - qj = new int[nq]; - nnzq = new int[nq]; - irowq = new int[nnzqsum]; - icolq = new int[nnzqsum]; - q = new double[nnzqsum]; - - qi[0] = 1; qj[0] = 4; - qi[1] = 2; qj[1] = 4; - qi[2] = 3; qj[2] = 4; - qi[3] = 1; qj[3] = 5; - qi[4] = 2; qj[4] = 5; - qi[5] = 3; qj[5] = 5; - - nnzq[0] = 1; - nnzq[1] = 2; - nnzq[2] = 1; - nnzq[3] = 1; - nnzq[4] = 2; - nnzq[5] = 1; - - q[0] = 2.0; irowq[0] = 1; icolq[0] = 1; - q[1] = 2.0; irowq[1] = 1; icolq[1] = 1; - q[2] = 1.0; irowq[2] = 1; icolq[2] = 2; - q[3] = 1.0; irowq[3] = 1; icolq[3] = 2; - q[4] = 1.0; irowq[4] = 1; icolq[4] = 2; - q[5] = 1.0; irowq[5] = 1; icolq[5] = 2; - q[6] = 2.0; irowq[6] = 2; icolq[6] = 2; - q[7] = 2.0; irowq[7] = 2; icolq[7] = 2; - - ifail = 0; - //Expand the existing linear matrix inequality with bilnear term - E04RP e04rp = new E04RP(handle,nq,qi,qj,dimaq,nnzq,nnzqsum,irowq,icolq, - q,idblk,ifail); - e04rp.eval(); - - //block 2 - dimaq = 2; - nnzasum = 5; - nnza = new int[nvar + 1]; - irowa = new int[nnzasum]; - icola = new int[nnzasum]; - a = new double[nnzasum]; - - nnza[0] = 2; - nnza[1] = 1; - nnza[2] = 1; - nnza[3] = 1; - nnza[4] = 0; - nnza[5] = 0; - - a[0] = 1.0; irowa[0] = 1; icola[0] = 1; - a[1] = 1.0; irowa[1] = 2; icola[1] = 2; - a[2] = 1.0; irowa[2] = 1; icola[2] = 1; - a[3] = 1.0; irowa[3] = 1; icola[3] = 2; - a[4] = 1.0; irowa[4] = 2; icola[4] = 2; - - idblk = 0; - ifail = 0; - //Add the linear matrix inequality to the problem formulation - e04rn = new E04RN(handle,nvar,dimaq,nnza,nnzasum,irowa,icola,a,1, - idummy,idblk,ifail); - e04rn.eval(); - - System.out.println("Passing SDP problem to solver"); - System.out.println(); - - ifail = 0; - //Print overview of handle - //nout = 6 is default output for fortran - E04RY e04ry = new E04RY(handle,6,"Overview,Matrix Constraints",ifail); - e04ry.eval(); - - //Allocate memory for the solver - x = new double[nvar]; - nnzu = 0; - nnzuc = 0; - nnzua = 0; - inform = 0; - for(int i = 0; i < nvar; i++){ - x[i] = 0.0; - } - - ifail = 0; - E04SV e04sv = new E04SV(handle,nvar,x,nnzu,rdummy,nnzuc,rdummy,nnzua,rdummy, - rinfo,stats,inform,ifail); - e04sv.eval(); - - //Destroy handle - ifail = 0; - E04RZ e04rz = new E04RZ(handle,ifail); - e04rz.eval(); - } - -} - - - diff --git a/simple_examples/source/int32/E04RSJE.java b/simple_examples/source/int32/E04RSJE.java deleted file mode 100644 index d614fbb..0000000 --- a/simple_examples/source/int32/E04RSJE.java +++ /dev/null @@ -1,229 +0,0 @@ -import com.nag.routines.E04.E04RS; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04ZM; -import com.nag.routines.E04.E04PT; -import com.nag.routines.E04.E04RZ; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * E04RS - */ -public class E04RSJE { - - public static void main(String[] args) { - - final int nout = 6; - - long cpuser, handle = 0; - double s = 0.0; - int idqc, ifail, n = 0, nnzq0 = 0, nnzq1 = 0, nnzu, nnzuc, x_idx; - boolean verbose_output; - - double[] q0 = null, q1 = null, r0 = null, r1 = null, u, uc, x; - double[] rinfo = new double[100]; - double[] ruser = new double[1]; - double[] stats = new double[100]; - int[] icolq0 = null, icolq1 = null, idxr0 = null, idxr1 = null, irowq0 = null, irowq1 = null; - int[] iuser = new int[2]; - - System.out.println(" E04RSJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); // skip header - - // Read dimensions of the problem - line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - nnzq0 = Integer.parseInt(sVal[1]); - nnzq1 = Integer.parseInt(sVal[2]); - - // Allocate memory to read data - irowq0 = new int[nnzq0]; - icolq0 = new int[nnzq0]; - q0 = new double[nnzq0]; - irowq1 = new int[nnzq1]; - icolq1 = new int[nnzq1]; - q1 = new double[nnzq1]; - idxr0 = new int[n]; - r0 = new double[n]; - idxr1 = new int[n]; - r1 = new double[n]; - - // Read problem data - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq0; i++) { - irowq0[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq0; i++) { - icolq0[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq0; i++) { - q0[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq1; i++) { - irowq1[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq1; i++) { - icolq1[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq1; i++) { - q1[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < n; i++) { - idxr0[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < n; i++) { - r0[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < n; i++) { - idxr1[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < n; i++) { - r1[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - s = Double.parseDouble(sVal[0]); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Compute size of multipliers - // One quadratic constraint in the model will have - // 2 multipliers for both bounds - nnzu = 2; - // No cone constraint in the model, so set nnzuc to 0 - nnzuc = 0; - - // Allocate memory for final results - x = new double[n]; - u = new double[nnzu]; - uc = new double[nnzuc]; - - // Create the problem handle - ifail = 0; - E04RA e04ra = new E04RA(); - e04ra.eval(handle, n, ifail); - handle = e04ra.getHANDLE(); - - // Set objective function - idqc = -1; - ifail = 0; - E04RS e04rs = new E04RS(); - e04rs.eval(handle, 0.0, n, idxr0, r0, nnzq0, irowq0, icolq0, q0, idqc, ifail); - - // Set quadratic constraint - idqc = 0; - ifail = 0; - e04rs.eval(handle, s, n, idxr1, r1, nnzq1, irowq1, icolq1, q1, idqc, ifail); - - // Turn on monitoring - ifail = 0; - E04ZM e04zm = new E04ZM(); - e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); - - // Set this to True to cause e04ptf to produce intermediate progress output - verbose_output = false; - - if (verbose_output) { - // Require printing of primal and dual solutions at the end of the solve - ifail = 0; - e04zm.eval(handle, "Print Solution = YES", ifail); - } else { - // Turn off printing of intermediate progress output - ifail = 0; - e04zm.eval(handle, "Print Level = 1", ifail); - } - - // Call SOCP interior point solver - cpuser = 0; - iuser[0] = nout; - iuser[1] = 0; - ruser[0] = 1.0e-07; - ifail = -1; - E04PT e04pt = new E04PT(); - MONIT monit = new MONIT(); - e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - ifail = e04pt.getIFAIL(); - - // Print solution if optimal or suboptimal solution found - if ((ifail == 0) || (ifail == 50)) { - System.out.println(" Optimal X:"); - System.out.println(" x_idx Value "); - for (x_idx = 0; x_idx < n; x_idx++) { - System.out.printf(" %5d %11.3e\n", x_idx, x[x_idx]); - } - } - - // Free the handle memory - ifail = 0; - E04RZ e04rz = new E04RZ(); - e04rz.eval(handle, ifail); - } - - public static class MONIT extends E04PT.Abstract_E04PT_MONIT { - - public void eval() { - double tol; - int nout, tol_reached; - - nout = this.IUSER[0]; - tol_reached = this.IUSER[1]; - tol = this.RUSER[0]; - - // If x is close to the solution, print a message - if ((this.RINFO[14] < tol) && (this.RINFO[15] < tol) && (this.RINFO[16] < tol) && (this.RINFO[17] < tol)) { - if (tol_reached == 0) { - System.out.printf("\n monit() reports good approximate solution (tol =%9.2e)\n", tol); - this.IUSER[1] = 1; - } - } - } - } -} diff --git a/simple_examples/source/int32/E04RTJE.java b/simple_examples/source/int32/E04RTJE.java deleted file mode 100644 index dd4bce8..0000000 --- a/simple_examples/source/int32/E04RTJE.java +++ /dev/null @@ -1,225 +0,0 @@ -import com.nag.routines.E04.E04RT; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RJ; -import com.nag.routines.E04.E04ZM; -import com.nag.routines.E04.E04PT; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04RH; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * E04RT example program text. - */ -public class E04RTJE { - - public static void main(String[] args) { - - final int nout = 6; - - long cpuser, handle = 0; - int i, idlc, idqc, ifail, j, m = 0, n = 0, nnza = 0, nnzu, nnzuc, x_idx; - boolean verbose_output; - - double[] a = null, b = null, r0 = null, u, uc, x, xl = null, xu = null; - double[] lc = new double[3]; - double[] lc_rhs = new double[1]; - double[] rinfo = new double[100]; - double[] ruser = new double[1]; - double[] stats = new double[100]; - int[] icola = null, idxr0 = null, irowa = null; - int[] icollc = new int[3]; - int[] irowlc = new int[3]; - int[] iuser = new int[2]; - - System.out.println(" E04RTJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); // skip header - - // Read dimensions of the problem - line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - m = Integer.parseInt(sVal[1]); - nnza = Integer.parseInt(sVal[2]); - - // Allocate memory to read data - a = new double[nnza]; - icola = new int[nnza]; - irowa = new int[nnza]; - idxr0 = new int[n]; - r0 = new double[n]; - b = new double[m]; - xl = new double[n]; - xu = new double[n]; - - // Read problem data - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < nnza; i++) { - irowa[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < nnza; i++) { - icola[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < nnza; i++) { - a[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < m; i++) { - b[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - xl[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - xu[i] = Double.parseDouble(sVal[i]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Compute -2*b'A as linear term in quadratic function - for (j = 0; j < n; j++) { - r0[j] = 0.0; - idxr0[j] = j + 1; - } - for (i = 0; i < nnza; i++) { - r0[icola[i] - 1] = r0[icola[i] - 1] + a[i] * b[irowa[i] - 1]; - } - - // Compute size of multipliers - // One linear constraint in the model will have - // 2 multipliers for both bounds - nnzu = 2 * n + 2; - // No cone constraint in the model, so set nnzuc to 0 - nnzuc = 0; - - // Allocate memory for final results - x = new double[n]; - u = new double[nnzu]; - uc = new double[nnzuc]; - - // Create the problem handle - ifail = 0; - E04RA e04ra = new E04RA(); - e04ra.eval(handle, n, ifail); - handle = e04ra.getHANDLE(); - - // Set quadratic objective function - idqc = -1; - ifail = 0; - E04RT e04rt = new E04RT(); - e04rt.eval(handle, 0.0, n, idxr0, r0, m, nnza, irowa, icola, a, idqc, ifail); - - // Set box constraints - ifail = 0; - E04RH e04rh = new E04RH(); - e04rh.eval(handle, n, xl, xu, ifail); - - // Set linear constraint: x1 + x2 + x3 = 1 - for (j = 0; j < n; j++) { - irowlc[j] = 1; - icollc[j] = j + 1; - lc[j] = 1.0; - } - lc_rhs[0] = 1.0; - ifail = 0; - idlc = 0; - E04RJ e04rj = new E04RJ(); - e04rj.eval(handle, 1, lc_rhs, lc_rhs, 3, irowlc, icollc, lc, idlc, ifail); - - // Turn on monitoring - ifail = 0; - E04ZM e04zm = new E04ZM(); - e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); - - // Set this to True to cause e04ptf to produce intermediate progress output - verbose_output = false; - - if (verbose_output) { - // Require printing of primal and dual solutions at the end of the solve - ifail = 0; - e04zm.eval(handle, "Print Solution = YES", ifail); - } else { - // Turn off printing of intermediate progress output - ifail = 0; - e04zm.eval(handle, "Print Level = 1", ifail); - } - - // Call SOCP interior point solver - cpuser = 0; - iuser[0] = nout; - iuser[1] = 0; - ruser[0] = 1.0e-07; - ifail = -1; - E04PT e04pt = new E04PT(); - MONIT monit = new MONIT(); - e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - ifail = e04pt.getIFAIL(); - - // Print solution if optimal or suboptimal solution found - if ((ifail == 0) || (ifail == 50)) { - System.out.println(" Optimal X:"); - System.out.println(" x_idx Value "); - for (x_idx = 0; x_idx < n; x_idx++) { - System.out.printf(" %5d %11.3e\n", x_idx, x[x_idx]); - } - } - - // Free the handle memory - ifail = 0; - E04RZ e04rz = new E04RZ(); - e04rz.eval(handle, ifail); - } - - public static class MONIT extends E04PT.Abstract_E04PT_MONIT { - - public void eval() { - double tol; - int nout, tol_reached; - - nout = this.IUSER[0]; - tol_reached = this.IUSER[1]; - tol = this.RUSER[0]; - - // If x is close to the solution, print a message - if ((this.RINFO[14] < tol) && (this.RINFO[15] < tol) && (this.RINFO[16] < tol) && (this.RINFO[17] < tol)) { - if (tol_reached == 0) { - System.out.printf("\n monit() reports good approximate solution (tol =%9.2e)\n", tol); - this.IUSER[1] = 1; - } - } - } - } - } diff --git a/simple_examples/source/int32/E04SAJE.java b/simple_examples/source/int32/E04SAJE.java deleted file mode 100644 index 325267b..0000000 --- a/simple_examples/source/int32/E04SAJE.java +++ /dev/null @@ -1,104 +0,0 @@ -import com.nag.routines.E04.E04RC; -import com.nag.routines.E04.E04SA; -import com.nag.routines.E04.E04ZM; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04PT; -import com.nag.routines.E04.E04PTU; - -/** - * E04SA example program text. - */ -public class E04SAJE { - - public static final String fname = "e04saje.opt"; - public static void main(String[] args) { - - long cpuser, handle = 0; - int ifail, n, nnzu, nnzuc, x_idx; - boolean verbose_output; - String ftype; - - double[] rinfo = new double[100]; - double[] ruser = new double[1]; - double[] stats = new double[100]; - double[] u, uc, x; - int[] iuser = new int[1]; - int[] pinfo = new int[100]; - - System.out.println(" E04SAJ Example Program Results"); - - // Read mps file to a handle - ifail = 0; - ftype = "mps"; - E04SA e04sa = new E04SA(); - e04sa.eval(handle, fname, ftype, pinfo, ifail); - handle = e04sa.getHANDLE(); - - // Get problem size from pinfo - pinfo = e04sa.getPINFO(); - n = pinfo[0]; - nnzu = pinfo[10]; - nnzuc = pinfo[11]; - - // Set all variables as continuous - ifail = 0; - E04RC e04rc = new E04RC(); - - int[] x_idx_Arr = new int[n]; - for (x_idx = 1; x_idx <= n; x_idx++) { - x_idx_Arr[x_idx - 1] = x_idx; - } - - e04rc.eval(handle, "CONT", n, x_idx_Arr, ifail); - - // Allocate memory - x = new double[n]; - u = new double[nnzu]; - uc = new double[nnzuc]; - - // Set this to .True. to cause e04ptf to produce intermediate progress output - verbose_output = false; - - E04ZM e04zm = new E04ZM(); - if (verbose_output) { - // Require printing of primal and dual solutions at the end of the solve - ifail = 0; - e04zm.eval(handle, "Print Solution = YES", ifail); - } else { - // Turn off printing of intermediate progress output - ifail = 0; - e04zm.eval(handle, "Print Level = 1", ifail); - } - - // Call SOCP interior point solver - cpuser = 0; - ifail = -1; - E04PT e04pt = new E04PT(); - MONIT monit = new MONIT(); - e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - ifail = e04pt.getIFAIL(); - - // Print solution if optimal or suboptimal solution found - if ((ifail == 0) || (ifail == 50)) { - System.out.println(" Optimal X:"); - System.out.println(" x_idx " + " Value "); - for (x_idx = 0; x_idx < n; x_idx++) { - System.out.printf(" %5d %12.5e\n", x_idx, x[x_idx]); - } - } - - // Free the handle memory - ifail = 0; - E04RZ e04rz = new E04RZ(); - e04rz.eval(handle, ifail); - } - - public static class MONIT extends E04PT.Abstract_E04PT_MONIT { - - public void eval() { - E04PTU e04ptu = new E04PTU(); - e04ptu.eval(this.HANDLE, this.RINFO, this.STATS, this.IUSER, this.RUSER, this.CPUSER, this.INFORM); - this.INFORM = e04ptu.getINFORM(); - } - } -} diff --git a/simple_examples/source/int32/E04TAJE.java b/simple_examples/source/int32/E04TAJE.java deleted file mode 100644 index 97cebe2..0000000 --- a/simple_examples/source/int32/E04TAJE.java +++ /dev/null @@ -1,188 +0,0 @@ -import com.nag.routines.E04.E04TA; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RE; -import com.nag.routines.E04.E04RH; -import com.nag.routines.E04.E04RJ; -import com.nag.routines.E04.E04ZM; -import com.nag.routines.E04.E04MT; -import com.nag.routines.E04.E04MTU; -import com.nag.routines.E04.E04TD; -import com.nag.routines.E04.E04TE; -import com.nag.routines.E04.E04TJ; -import com.nag.routines.E04.E04RW; -import com.nag.routines.E04.E04RZ; - -import java.util.Arrays; - -/** - * E04TA - */ -public class E04TAJE { - - public static void main(String[] args) { - - final double infbnd = 1.0e20; - - long cpuser, handle; - int idlc, ifail, ioflag, liarr, nclin, nnza, nnzu, nvar; - - double[] a, bla, bua, cvec, ulag, x, xl, xu; - - double[] rinfo = new double[100]; - double[] ruser = new double[1]; - double[] stats = new double[100]; - double[] u = new double[1]; - - int[] icola, irowa; - - int[] iuser = new int[1]; - int[] pinfo = new int[100]; - - System.out.println(" E04TAJ Example Program Results\n"); - System.out.println(" Solve the first LP\n"); - - handle = 0; - cpuser = 0; - - // Initialize the handle - nvar = 2; - ifail = 0; - E04RA e04ra = new E04RA(); - e04ra.eval(handle, nvar, ifail); - handle = e04ra.getHANDLE(); - - // Define the objective function - cvec = new double[nvar]; - cvec[0] = 2.0; - cvec[1] = 4.5; - ifail = 0; - E04RE e04re = new E04RE(); - e04re.eval(handle, nvar, cvec, ifail); - - // Box constraints - xl = new double[nvar]; - xu = new double[nvar]; - Arrays.fill(xl, 0.0); - xu[0] = infbnd; - xu[1] = 100.0; - ifail = 0; - E04RH e04rh = new E04RH(); - e04rh.eval(handle, nvar, xl, xu, ifail); - - // Set the linear constraints - idlc = 0; - nclin = 3; - nnza = 6; - bla = new double[nclin]; - bua = new double[nclin]; - irowa = new int[nnza]; - icola = new int[nnza]; - a = new double[nnza]; - Arrays.fill(bla, -infbnd); - bua = new double[] { - 1500.0, 6000.0, 16000.0 - }; - irowa = new int[] { - 1, 1, 2, 2, 3, 3 - }; - icola = new int[] { - 1, 2, 1, 2, 1, 2 - }; - a = new double[] { - 1.2, 3.0, 6.0, 10.0, 40.0, 80.0 - }; - ifail = 0; - E04RJ e04rj = new E04RJ(); - e04rj.eval(handle, nclin, bla, bua, nnza, irowa, icola, a , idlc, ifail); - - // Optional parameters - E04ZM e04zm = new E04ZM(); - e04zm.eval(handle, "Task = Max", ifail); - e04zm.eval(handle, "Print Options = No", ifail); - e04zm.eval(handle, "Print Level = 1", ifail); - e04zm.eval(handle, "Print Solution = X", ifail); - - // Call the LP solver - x = new double[nvar + 1]; - nnzu = 0; - ifail = -1; - E04MT e04mt = new E04MT(); - MONIT monit = new MONIT(); - e04mt.eval(handle, nvar, x ,nnzu, u, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - - // Add a variable - ifail = 0; - E04TA e04ta = new E04TA(); - e04ta.eval(handle, 1, nvar, ifail); - nvar = e04ta.getNVAR(); - - // Box constraint on the new variable - ifail = 0; - E04TD e04td = new E04TD(); - e04td.eval(handle, "variable", nvar, 0.0, 50.0, ifail); - - // Add the linear objective component - ifail = 0; - E04TE e04te = new E04TE(); - e04te.eval(handle, 3, 7.0, ifail); - - // Add linear constraints coefficients - E04TJ e04tj = new E04TJ(); - ifail = 0; - e04tj.eval(handle, 1, 3, 5.0, ifail); - ifail = 0; - e04tj.eval(handle, 2, 3, 12.0, ifail); - ifail = 0; - e04tj.eval(handle, 3, 3, 120.0, ifail); - - System.out.println("\n The new variable has been added, solve the handle again\n"); - - // Solve the problem again - ifail = -1; - e04mt.eval(handle, nvar, x, nnzu, u, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - - // Add a linear constraint - nclin = 1; - bla[0] = -infbnd; - bua[0] = 100.0; - nnza = 2; - irowa[0] = 1; - irowa[1] = 1; - icola[0] = 2; - icola[1] = 3; - a[0] = 1.0; - a[1] = 1.0; - idlc = 0; - e04rj.eval(handle, nclin, bla, bua ,nnza, irowa, icola, a ,idlc, ifail); - - System.out.println("\n The new constraint has been added, solve the handle again\n"); - - // Query the problem sizes to request the Lagrangian multipliers for the - // last solve - ioflag = 1; - liarr = 100; - E04RW e04rw = new E04RW(); - e04rw.eval(handle, "pinfo", ioflag, liarr, pinfo, ifail); - nnzu = pinfo[10]; - ulag = new double[nnzu]; - - // Solve the problem again - ifail = -1; - e04mt.eval(handle, nvar, x ,nnzu, ulag, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - - // Free the memory - ifail = 0; - E04RZ e04rz = new E04RZ(); - e04rz.eval(handle, ifail); - } - - public static class MONIT extends E04MT.Abstract_E04MT_MONIT { - - public void eval() { - E04MTU e04mtu = new E04MTU(); - e04mtu.eval(this.HANDLE, this.RINFO, this.STATS, this.IUSER, this.RUSER, - this.CPUSER, this.INFORM); - this.INFORM = e04mtu.getINFORM(); - } - } -} diff --git a/simple_examples/source/int32/E04TCJE.java b/simple_examples/source/int32/E04TCJE.java deleted file mode 100644 index d28d78b..0000000 --- a/simple_examples/source/int32/E04TCJE.java +++ /dev/null @@ -1,263 +0,0 @@ -import com.nag.routines.E04.E04FFU; -import com.nag.routines.E04.E04GG; -import com.nag.routines.E04.E04GGU; -import com.nag.routines.E04.E04GGV; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RM; -import com.nag.routines.E04.E04TB; -import com.nag.routines.E04.E04TC; -import com.nag.routines.E04.E04TD; -import com.nag.routines.E04.E04ZM; -import java.io.BufferedReader; -import java.io.FileReader; -import java.text.NumberFormat; -import java.util.logging.Level; -import java.util.logging.Logger; -import java.util.Arrays; - -/** - * E04TC example program text. - * @author Mo - */ -public class E04TCJE { - - public static void main(String[] args) { - double[] rx, x, udt, udy; - double[] rinfo = new double[100], ruser = new double[0], - stats = new double[100]; - int ifail, isparse, nnzrd, nres, nvar, udnres; - int[] icolrd = new int[0], irowrd = new int[0], iuser = new int[0]; - int[] idx; - long cpuser, handle; // c_ptr - LSQFUN lsqfun = new LSQFUN(); - LSQGRD lsqgrd = new LSQGRD(); - LSQHES lsqhes = new LSQHES(); - LSQHPRD lsqhprd = new LSQHPRD(); - MONIT monit = new MONIT(); - - /* Header */ - System.out.printf(" E04TCJ Example Program Results\n\n"); - try { - - handle = 0L; - cpuser = 0L; - - BufferedReader br = new BufferedReader(new FileReader(args[0])); - String line = br.readLine(); // read the header - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - String[] data = line.split("\\s+"); - - /* Read number of residuals */ - nres = Integer.parseInt(data[0]); - - udnres = nres; - - /* Allocate memory */ - udt = new double[nres]; - udy = new double[nres]; - - /* Read observations */ - - for (int ii = 0; ii < nres; ii += 3) { - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - for (int jj = 0; jj < 3; ++jj) { - udt[ii+jj] = Double.parseDouble(data[jj]); - } - } - - for (int ii = 0; ii < nres; ii += 3) { - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - for (int jj = 0; jj < 3; ++jj) { - udy[ii+jj] = Double.parseDouble(data[jj]); - } - } - - /* try to fit the model */ - /* f(t) = at^2 + bt + c + d sin(omega t) */ - /* To the data {(t_i, y_i)} */ - nvar = 5; - - /* Initialize the NAG optimization handle */ - E04RA e04ra = new E04RA(); - ifail = 0; // hard fail - e04ra.eval(handle, nvar, ifail); - handle = e04ra.getHANDLE(); - - /* Define a dense nonlinear least-squares objective function */ - /* (isparse = 0 => the sparsity pattern of the Jacobian */ - /* doesn't need to be defined) */ - E04RM e04rm = new E04RM(); - isparse = 0; - nnzrd = 1; - e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); - - /* Set some optional parameters to control the output of the solver */ - E04ZM e04zm = new E04ZM(); - e04zm.eval(handle, "Print Options = No", ifail); - e04zm.eval(handle, "Print Solution = X", ifail); - e04zm.eval(handle, "Print Level = 1", ifail); - - System.out.println("First solve the problem with the outliers"); - System.out.println(); - System.out.println("--------------------------------------------------------"); - - /* Call the solver */ - E04GG e04gg = new E04GG(); - x = new double[nvar]; - for (int ii = 0; ii < nvar; ++ii) { - x[ii] = 1.0; - } - rx = new double[nres]; - iuser = new int[] {udnres}; - ruser = new double[2 * udnres];; - for (int ii = 0; ii < udnres; ii++) { - ruser[ii] = udt[ii]; - ruser[udnres + ii] = udy[ii]; - } - ifail = -1; - e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, - rx, rinfo, stats, iuser, ruser, cpuser, ifail); - - System.out.println("--------------------------------------------------------"); - System.out.println(); - System.out.println("Now remove the outlier residuals from the problem handle"); - System.out.println(); - System.out.println("--------------------------------------------------------"); - - /* Disable the two outlier residuals */ - E04TC e04tc = new E04TC(); - idx = new int[] {10, 20}; - e04tc.eval(handle, "NLS", 2, idx, ifail); - - /* Solve the problem again */ - for (int ii = 0; ii < nvar; ++ii) { - x[ii] = 1.0; - } - ifail = -1; - e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, - rx, rinfo, stats, iuser, ruser, cpuser, ifail); - - System.out.println("--------------------------------------------------------"); - System.out.println(); - System.out.println("Assuming the outliers points are measured again"); - System.out.println("we can enable the residuals and adjust the values"); - System.out.println(); - System.out.println("--------------------------------------------------------"); - - /* Fix the first variable to its known value of 0.3 */ - /* enable the residuals and adjust the values in the data */ - E04TD e04td = new E04TD(); - e04td.eval(handle, "variable", 1, 0.3, 0.3, ifail); - E04TB e04tb = new E04TB(); - e04tb.eval(handle, "NLS", 2, idx, ifail); - udy[9] = -0.515629; - udy[19] = 0.54920; - - /* Solve the problem */ - for (int ii = 0; ii < nvar; ++ii) { - x[ii] = 1.0; - } - ifail = -1; - e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, - rx, rinfo, stats, iuser, ruser, cpuser, ifail); - - } - catch (Exception ex) { - Logger.getLogger(E04TCJE.class.getName()).log(Level.SEVERE, null, ex); - } - - } - - public static class LSQFUN extends E04GG.Abstract_E04GG_LSQFUN { - - public void eval() { - int udnres; - double[] udt, udy; - - /* Unpack the user data from cpuser */ - udnres = this.IUSER[0]; - udt = Arrays.copyOfRange(this.RUSER, 0, udnres); - udy = Arrays.copyOfRange(this.RUSER, udnres, udnres + udnres); - - for (int i = 0; i < this.NRES; i++) { - this.RX[i] = 0.0; - } - - for (int i = 0; i < this.NRES; i++) { - this.RX[i] = (this.X[0] * Math.pow(udt[i],2) + this.X[1] * udt[i] + - this.X[2] + this.X[3] * Math.sin(this.X[4] * udt[i])) - - udy[i]; - } - - this.INFORM = 0; - - } - - } - - public static class LSQGRD extends E04GG.Abstract_E04GG_LSQGRD { - - public void eval() { - int udnres; - double[] udt, udy; - - /* Unpack the user data from cpuser */ - udnres = this.IUSER[0]; - udt = Arrays.copyOfRange(this.RUSER, 0, udnres); - udy = Arrays.copyOfRange(this.RUSER, udnres, udnres + udnres); - - for (int i = 1; i <= this.NRES; i++) { - this.RDX[((i-1)*this.NVAR + 1) - 1] = Math.pow(udt[i-1],2); - this.RDX[((i-1)*this.NVAR + 2) - 1] = udt[i-1]; - this.RDX[((i-1)*this.NVAR + 3) - 1] = 1.0; - this.RDX[((i-1)*this.NVAR + 4) - 1] = Math.sin(this.X[4] * udt[i-1]); - this.RDX[((i-1)*this.NVAR + 5) - 1] = this.X[3] * udt[i-1] * - Math.cos(this.X[4] * udt[i-1]); - - } - - this.INFORM = 0; - - } - - } - - public static class LSQHES extends E04GG.Abstract_E04GG_LSQHES { - - public void eval() { - E04GGU e04ggu = new E04GGU(); - e04ggu.eval(this.NVAR, this.X, this.NRES, this.LAMBDA, this.HX, - this.INFORM, this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ggu.getINFORM(); - } - - } - - public static class LSQHPRD extends E04GG.Abstract_E04GG_LSQHPRD { - - public void eval() { - E04GGV e04ggv = new E04GGV(); - e04ggv.eval(this.NVAR, this.X, this.Y, this.NRES, this.HXY, this.INFORM, - this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ggv.getINFORM(); - } - - } - - public static class MONIT extends E04GG.Abstract_E04GG_MONIT { - - public void eval() { - E04FFU e04ffu = new E04FFU(); - e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, - this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ffu.getINFORM(); - } - - } - -} diff --git a/simple_examples/source/int32/E04UCJE.java b/simple_examples/source/int32/E04UCJE.java deleted file mode 100644 index e43d457..0000000 --- a/simple_examples/source/int32/E04UCJE.java +++ /dev/null @@ -1,211 +0,0 @@ -import com.nag.routines.E04.E04UC; -import com.nag.routines.E04.E04WB; -import com.nag.routines.E04.E04UE; -import com.nag.routines.F06.DGEMV; -import java.util.Arrays; - -/** - * E04UC example program text. - * @author joed - */ -public class E04UCJE { - - public static final double ONE = 1.0, ZERO = 0.0; - public static final int INC1 = 1, LCWSAV = 1, LIWSAV = 610, LLWSAV = 120, LRWSAV = 475; - public static CONFUN confun = new CONFUN(); - public static OBJFUN objfun = new OBJFUN(); - - public static void main(String[] args) { - - /* Local Scalars */ - double objf; - int i, ifail, inform, iter, j, lda, ldcj, ldr, liwork, lwork, n, nclin, ncnln, sda, sdcjac; - /* Local Arrays */ - double[] a, bl, bu, c, cjac, clamda, objgrd, r, work, x; - double[] ruser = new double[1], rwsav = new double[LRWSAV]; - int[] istate, iwork; - int[] iuser = new int[1], iwsav = new int[LIWSAV]; - boolean[] lwsav = new boolean[LLWSAV]; - String[] cwsav = new String[LCWSAV]; - Arrays.fill(cwsav, - " "); - - System.out.println(" E04UCJ Example Program Results"); - - /* Set scalars */ - n = 4; - nclin = 1; - ncnln = 2; - liwork = 3*n + nclin + 2*ncnln; - lda = Math.max(1, nclin); - sda = (nclin > 0) ? n : 1; - ldcj = Math.max(1, ncnln); - sdcjac = (ncnln > 0) ? n : 1; - ldr = n; - - if (ncnln == 0 && nclin > 0) { - lwork = 2*n*n + 20*n + 11*nclin; - } - else if (ncnln > 0 && nclin >= 0) { - lwork = 2*n*n + n*nclin + 2*n*ncnln + 20*n + 11*nclin + 21*ncnln; - } - else { - lwork = 20*n; - } - - /* Set arrays */ - istate = new int[n + nclin + ncnln]; - iwork = new int[liwork]; - c = new double[Math.max(1, ncnln)]; - cjac = new double[ldcj * sdcjac]; - clamda = new double[n + nclin + ncnln]; - objgrd = new double[n]; - r = new double[ldr * n]; - work = new double[lwork]; - - a = new double[]{1.0, 1.0, 1.0, 1.0}; - bl = new double[]{1.0, 1.0, 1.0, 1.0, -1.0E+25, -1.0E+25, 25.0}; - bu = new double[]{5.0, 5.0, 5.0, 5.0, 20.0, 40.0, 1.0E+25}; - x = new double[]{1.0, 5.0, 5.0, 1.0}; - - /* Initialise E04UC */ - E04WB e04wb = new E04WB(); - ifail = 0; - e04wb.eval("E04UCA", cwsav, LCWSAV, lwsav, LLWSAV, iwsav, LIWSAV, rwsav, LRWSAV, ifail); - E04UE e04ue = new E04UE(); - inform = 0; - e04ue.eval("Print Level = 10", lwsav, iwsav, rwsav, inform); - - /* Solve the problem */ - E04UC e04uc = new E04UC(); - iter = 0; - objf = 0.0; - ifail = -1; - e04uc.eval(n, nclin, ncnln, lda, ldcj, ldr, a, bl, bu, confun, objfun, iter, istate, c, - cjac, clamda, objf, objgrd, r, x, iwork, liwork, work, lwork, iuser, ruser, - lwsav, iwsav, rwsav, ifail); - iter = e04uc.getITER(); - objf = e04uc.getOBJF(); - ifail = e04uc.getIFAIL(); - - if ((0 >= ifail && ifail <= 6) || ifail == 8) { - System.out.println(); - System.out.println(" Varbl Istate Value Lagr Mult"); - System.out.println(); - - for (i = 0; i < n; i++) { - System.out.printf(" V %3d %3d %13.6G %13.4G\n", i+1, istate[i], x[i], clamda[i]); - } - - if (nclin > 0) { - - /* A*x --> work. - * The NAG name equivalent of DGEMV is F06PA */ - DGEMV dgemv = new DGEMV(); - dgemv.eval("N", nclin, n, ONE, a, lda, x, INC1, ZERO, work, INC1); - - System.out.println(); - System.out.println(); - System.out.println(" L Con Istate Value Lagr Mult"); - System.out.println(); - - for (i = n; i < n+nclin; i++) { - j = i - n; - System.out.printf(" L %3d %3d %13.6G %13.4G\n", j+1, istate[i], work[j], clamda[i]); - } - - } - - if (ncnln > 0) { - System.out.println(); - System.out.println(); - System.out.println(" N Con Istate Value Lagr Mult"); - System.out.println(); - - for (i = n+nclin; i < n+nclin+ncnln; i++) { - j = i - n - nclin; - System.out.printf(" N %3d %3d %13.6G %13.4G\n", j+1, istate[i], c[j], clamda[i]); - } - - } - - System.out.println(); - System.out.println(); - System.out.printf(" Final objective value = %11.7G\n", objf); - - } - - } - - /** Routine to evaluate objective function and its 1st derivatives. */ - public static class OBJFUN extends E04UC.Abstract_E04UC_OBJFUN { - - public void eval() { - - if (MODE == 0 || MODE == 2) { - OBJF = X[0] * X[3] * (X[0]+X[1]+X[2]) + X[2]; - } - - if (MODE == 1 || MODE == 2) { - OBJGRD[0] = X[3] * (X[0]+X[0]+X[1]+X[2]); - OBJGRD[1] = X[0] * X[3]; - OBJGRD[2] = X[0] * X[3] + ONE; - OBJGRD[3] = X[0] * (X[0]+X[1]+X[2]); - } - - } - - } - - /** Routine to evaluate the nonlinear constraints and their 1st derivatives. */ - public static class CONFUN extends E04UC.Abstract_E04UC_CONFUN { - - public void eval() { - - if (NSTATE == 1) { - - /* First call to CONFUN. Set all Jacobian elements to zero. - * Note that this will only work when 'Derivative Level = 3' - * (the default; see Section 11.2). */ - - for (int i = 0; i < CJAC.length; ++i) { - CJAC[i] = 0; - } - - } - - if (NEEDC[0] > 0) { - - if (MODE == 0 || MODE == 2) { - C[0] = X[0]*X[0] + X[1]*X[1] + X[2]*X[2] + X[3]*X[3]; - } - - if (MODE == 1 || MODE == 2) { - CJAC[0] = X[0] + X[0]; - CJAC[LDCJ] = X[1] + X[1]; - CJAC[2*LDCJ] = X[2] + X[2]; - CJAC[3*LDCJ] = X[3] + X[3]; - } - - } - - if (NEEDC[1] > 0) { - - if (MODE == 0 || MODE == 2) { - C[1] = X[0]*X[1]*X[2]*X[3]; - } - - if (MODE == 1 || MODE == 2) { - CJAC[1] = X[1]*X[2]*X[3]; - CJAC[1+LDCJ] = X[0]*X[2]*X[3]; - CJAC[1+2*LDCJ] = X[0]*X[1]*X[3]; - CJAC[1+3*LDCJ] = X[0]*X[1]*X[2]; - } - - } - - } - - } - -} diff --git a/simple_examples/source/int32/E04YAJE.java b/simple_examples/source/int32/E04YAJE.java deleted file mode 100644 index 72d80da..0000000 --- a/simple_examples/source/int32/E04YAJE.java +++ /dev/null @@ -1,112 +0,0 @@ -import com.nag.routines.E04.E04YA; - - -/** - * E04YA example program text. - * @author joed - */ -public class E04YAJE { - - public static LSQFUN lsqfun = new LSQFUN(); - public static final int LIW = 1, MDEC = 15, NDEC = 3; - public static final int LDFJAC = MDEC; - public static final int LW = 3*NDEC + MDEC + MDEC*NDEC; - public static double[] t = new double[MDEC*NDEC], y = new double[MDEC]; - - /** Routine to evaluate the residuals and their 1st derivatives. */ - public static class LSQFUN extends E04YA.Abstract_E04YA_LSQFUN { - - public void eval() { - double denom, dummy; - int i; - - for (i = 0; i < M; i++) { - denom = (XC[1] * t[MDEC + i]) + (XC[2] * t[2*MDEC + i]); - - if (IFLAG != 1) { - FVEC[i] = XC[0] + (t[i]/denom) - y[i]; - } - - if (IFLAG != 0) { - FJAC[i] = 1.0; - dummy = -1.0/(denom*denom); - FJAC[MDEC + i] = t[i] * t[MDEC + i] * dummy; - FJAC[2*MDEC + i] = t[i] * t[2*MDEC + i] * dummy; - } - - } - } - - } - - public static void main(String[] args) { - int i, ifail, m, n; - double[] fjac = new double[LDFJAC*NDEC], fvec = new double[MDEC], - w = new double[LW], x = new double[NDEC]; - int[] iw = new int[LIW]; - - System.out.println(" E04YAJ Example Program Results"); - - n = NDEC; - m = MDEC; - - /* Observations of TJ (J = 1, 2, ..., n) are held in T(I, J) - * (I = 1, 2, ..., m) */ - - y = new double[]{0.14, 0.18, 0.22, 0.25, 0.29, 0.32, 0.35, 0.39, 0.37, - 0.58, 0.73, 0.96, 1.34, 2.10, 4.39}; - for (i = 0; i < m; i++) { - t[i] = i + 1.0; - t[m + i] = 15.0 - i; - t[2*m + i] = -Math.abs(i - 7.0) + 8.0; - } - - /* Set up an arbitrary point at which to check the 1st derivatives */ - - x[0] = 0.19; - x[1] = -1.34; - x[2] = 0.88; - - System.out.println(); - System.out.println("The test point is"); - System.out.printf(" "); - for (i = 0; i < n; i++) { - System.out.printf("%10.5f", x[i]); - } - System.out.printf("\n"); - - E04YA e04ya = new E04YA(); - ifail = -1; - e04ya.eval(m, n, lsqfun, x, fvec, fjac, LDFJAC, iw, LIW, w, LW, ifail); - ifail = e04ya.getIFAIL(); - - if (ifail >= 0 && ifail != 1) { - - switch (ifail) { - case 0: - System.out.println(); - System.out.println("1st derivatives are consistent with residual values"); - break; - case 2: - System.out.println(); - System.out.println("Probable error in calculation of 1st derivatives"); - break; - default: - } - - System.out.println(); - System.out.println("At the test point, LSQFUN gives"); - System.out.println(); - System.out.println(" Residuals 1st derivatives"); - for (i = 0; i < m; i++) { - System.out.printf(" %15.3E", fvec[i]); - System.out.printf("%15.3E", fjac[i]); - System.out.printf("%15.3E", fjac[LDFJAC + i]); - System.out.printf("%15.3E\n", fjac[2*LDFJAC + i]); - } - - } - - } - -} diff --git a/simple_examples/source/int32/F01ADJE.java b/simple_examples/source/int32/F01ADJE.java deleted file mode 100644 index 4167f71..0000000 --- a/simple_examples/source/int32/F01ADJE.java +++ /dev/null @@ -1,39 +0,0 @@ -import com.nag.routines.F01.F01AD; -import com.nag.routines.X04.X04CA; - - -/** - * F01AD example program text. - * @author joed - */ -public class F01ADJE { - - public static void main(String[] args) { - - int i, ifail, lda, n; - double[] a; - - System.out.println(" F01ADJ Example Program Results"); - System.out.println(); - - n = 4; - lda = n + 1; - a = new double[] { - 5.0, 7.0, 6.0, 5.0, 0.0, - 7.0, 10.0, 8.0, 7.0, 0.0, - 6.0, 8.0, 10.0, 9.0, 0.0, - 5.0, 7.0, 9.0, 10.0, 0.0 - }; - - F01AD f01ad = new F01AD(); - ifail = -1; - f01ad.eval(n, a, lda, ifail); - ifail = f01ad.getIFAIL(); - - /* Print the result matrix A */ - X04CA x04ca = new X04CA(); - x04ca.eval("L", "B", lda, n, a, lda, "Lower triangle of inverse", ifail); - - } - -} diff --git a/simple_examples/source/int32/F01CKJE.java b/simple_examples/source/int32/F01CKJE.java deleted file mode 100644 index ed3ffa2..0000000 --- a/simple_examples/source/int32/F01CKJE.java +++ /dev/null @@ -1,60 +0,0 @@ -import com.nag.routines.F01.F01CK; -import com.nag.routines.X04.X04CB; -import java.util.logging.Level; -import java.util.logging.Logger; - - -/** - * F01CK example program text. - * @author ludovic - */ -public class F01CKJE { - - public static void main(String[] args) { - - double[] a, b, c, z; - int n, p, m, iz, opt; - int ifail; - - m = 3; - n = p = 2; - iz = 1; - opt = 1; - a = new double[n * p]; - b = new double[n * m]; - c = new double[m * p]; - z = new double[iz]; - ifail = 0; - - System.out.println(" F01CKJ Example Program Results"); - - // Initialising b and c - - for (int i = 0; i < m; ++i) { - for (int j = 0; j < n; ++j) { - b[j+i*n] = (double) (i+j); - } - for (int j = 0; j < p; ++j) { - c[i+j*m] = (double) (i+j); - } - } - - F01CK f01ck = new F01CK(a, b, c, n, p, m, z, iz, opt, ifail); - f01ck.eval(); - ifail = f01ck.getIFAIL(); - String title = "Matrix A"; - System.out.println(); - System.out.flush(); - ifail = 0; - - String matrix = "G", diag = "N", nolabel = "N", form = "F7.1"; - String[] dummy = {" "}; - int ncols = 80; - int indent = 0; - - (new X04CB()).eval(matrix,diag,n,p,a,n,form,title,nolabel,dummy,nolabel, - dummy,ncols,indent, ifail); - - } - -} diff --git a/simple_examples/source/int32/F01CRJE.java b/simple_examples/source/int32/F01CRJE.java deleted file mode 100644 index c10b284..0000000 --- a/simple_examples/source/int32/F01CRJE.java +++ /dev/null @@ -1,47 +0,0 @@ -import com.nag.routines.F01.F01CR; -import java.util.logging.Level; -import java.util.logging.Logger; - - -/** - * F01CR example program text. - * @author ludovic - */ -public class F01CRJE { - - public static void main(String[] args) { - System.out.println(" F01CRJ Example Program Results"); - double[] a; - int m,n,mn,lmove; - int[] move; - int ifail; - n = 7; - m = 3; - mn = m*n; - lmove = (m + n)/2; - a = new double[mn]; - move = new int[lmove]; - ifail = 1; - - for (int i = 0; i < mn; i++) { - a[i] = i+1.0; - } - - F01CR f01cr = new F01CR(a, m, n, mn, move, lmove, ifail); - f01cr.eval(); - - System.out.println(); - int index = 0; - for (int i = 0; i < mn; ++i) { - System.out.printf(" %7.1f",a[i]); - ++index; - if (index == 7) { - System.out.println(); - index = 0; - } - } - System.out.println(); - - } - -} diff --git a/simple_examples/source/int32/F01DGJE.java b/simple_examples/source/int32/F01DGJE.java deleted file mode 100644 index 107137f..0000000 --- a/simple_examples/source/int32/F01DGJE.java +++ /dev/null @@ -1,72 +0,0 @@ -import com.nag.routines.F01.F01DG; -import com.nag.routines.X04.X04CA; - -/** - * F01DG example program text. - * @author joed - * @since 27.0.0.0 - */ -public class F01DGJE { - - /** - * F01DG example main program. - */ - public static void main(String[] args) { - - F01DG f01dg = new F01DG(); - X04CA x04ca = new X04CA(); - double alpha; - int i, ifail, lda, ldb, n; - String side, transa, uplo; // Length 1 - double[] a, b; - - System.out.println("F01DGJ Example Program Results\n"); - - // Values for side, uplo and transa - side = "L"; - uplo = "U"; - transa = "T"; - - // Order of square matrices - n = 4; - lda = n; - ldb = n; - - // Scaling constant alpha - alpha = 0.4; - - // Set input matrices (column-major order) - a = new double[]{ - 1.5, 0.0, 0.0, 0.0, - 2.3, 3.4, 0.0, 0.0, - 6.7, 5.4, 8.1, 0.0, - 1.9, 8.6, 2.0, 5.9 - }; - b = new double[]{ - 3.5, 0.0, 0.0, 0.0, - 2.1, 5.6, 0.0, 0.0, - 4.0, 2.1, 1.7, 0.0, - 2.1, 2.5, 1.1, 7.4 - }; - - /* ifail: behaviour on error exit - * = 0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft */ - ifail = 0; - - // Find B=alpha*A*B - f01dg.eval(side, uplo, transa, n, alpha, a, lda, b, ldb, ifail); - ifail = f01dg.getIFAIL(); - - // Print the solution - if (ifail == 0) { - if (transa.equals("N")) { - x04ca.eval(uplo, "N", n, n, b, n, "Solution matrix B", ifail); - } - else { - x04ca.eval("G", "N", n, n, b, n, "Solution matrix B", ifail); - } - } - - } - -} diff --git a/simple_examples/source/int32/F01ELJE.java b/simple_examples/source/int32/F01ELJE.java deleted file mode 100644 index 9986c6c..0000000 --- a/simple_examples/source/int32/F01ELJE.java +++ /dev/null @@ -1,89 +0,0 @@ -import com.nag.routines.F01.F01EL; -import com.nag.routines.Routine; -import com.nag.routines.X04.X04CA; -import com.nag.types.NAGComplex; -import com.nag.types.NAGComplexInterface; -import java.util.Arrays; - -/** - * F01EL example program text. - * @author joed - */ -public class F01ELJE { - - public static void main(String[] args) { - - F01EL f01el = new F01EL(); - X04CA x04ca = new X04CA(); - - FCos2 fcos2 = new FCos2(); - double imnorm; - int i, ifail, iflag, lda, n; - double[] a, ruser = new double[1]; - int[] iuser = new int[1]; - - Routine.setComplex(new NAGComplex()); - - System.out.println(" F01ELJ Example Program Results"); - System.out.println(); - - // Problem data - n = 4; - a = new double[] { - 3.0, -1.0, 0.0, 2.0, 0.0, 1.0, 2.0, 1.0, 1.0, 3.0, 2.0, -1.0, 2.0, 1.0, 1.0, 1.0 - }; - - // Find f(A) - lda = n; - iflag = 0; - imnorm = 0; - ifail = 0; - f01el.eval(n, a, lda, fcos2, iuser, ruser, iflag, imnorm, ifail); - - // Print solution - ifail = 0; - x04ca.eval("G", "N", n, n, a, lda, "F(A) = COS(2A)", ifail); - - // Print the norm of the imaginary part to check it is small - System.out.println(); - System.out.println(" Imnorm = " + imnorm); - - } - - public static class FCos2 extends F01EL.Abstract_F01EL_F { - - /* These methods should really be part of an extension of NAGComplex. */ - - private NAGComplex complexCos(NAGComplexInterface z) { - NAGComplex cosz = new NAGComplex(); - cosz.setRe(Math.cos(z.getRe()) * Math.cosh(z.getIm())); - cosz.setIm(-Math.sin(z.getRe()) * Math.sinh(z.getIm())); - return cosz; - } - - private NAGComplex complexMult(NAGComplexInterface a, NAGComplexInterface b) { - NAGComplex ab = new NAGComplex(); - ab.setRe((a.getRe()*b.getRe()) - (a.getIm()*b.getIm())); - ab.setIm((a.getRe()*b.getIm()) + (a.getIm()*b.getRe())); - return ab; - } - - /* Calculate F(A) = COS(2A) */ - - public void eval() { - - NAGComplex two = new NAGComplex(); - two.setRe(2.0); - two.setIm(0.0); - - for (int i = 0; i < this.NZ; i++) { - this.FZ[i] = (NAGComplex) complexCos(complexMult(two, this.Z[i])); - } - - this.IFLAG = 0; - - } - - } - -} diff --git a/simple_examples/source/int32/F01EMJE.java b/simple_examples/source/int32/F01EMJE.java deleted file mode 100644 index 716a7b5..0000000 --- a/simple_examples/source/int32/F01EMJE.java +++ /dev/null @@ -1,106 +0,0 @@ -import com.nag.routines.F01.F01EM; -import com.nag.routines.X04.X04CA; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; - -/** - * F01EMJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class F01EMJE{ - - /** - * F01EMJ Example main program - */ - public static void main(String[] args){ - double imnorm = 0; - int ifail, iflag = 0, lda, n; //placeholders - double[] a, ruser; - int[] iuser; - - ruser = new double[1]; - iuser = new int[1]; - - System.out.println("F01EMJ Example Program Results"); - System.out.println(); - - //Tell wrapper what type of complex type is going to be used - Routine.setComplex(new NAGComplex()); - - //Problem size - n = 4; - lda = n; - - //Allocate - a = new double[lda * n]; - - //Data - //A = ( 1, 0,-2, 1) - // (-1, 2, 0, 1) - // ( 2, 0, 1, 0) - // ( 1, 0,-2, 2) - a[0] = 1; - a[1] = -1; - a[2] = 2; - a[3] = 1; - a[4] = 0; - a[5] = 2; - a[6] = 0; - a[7] = 0; - a[8] = -2; - a[9] = 0; - a[10] = 1; - a[11] = -1; - a[12] = 1; - a[13] = 1; - a[14] = 0; - a[15] = 2; - - //Find f(A) - ifail = 0; - //Create fexp2 object to pass to wrapper - fexp2 f = new fexp2(); - F01EM f01em = new F01EM(n, a, lda, f, iuser, ruser, iflag, imnorm, ifail); - f01em.eval(); - - //Print solution - ifail = 0; - X04CA x04ca = new X04CA("G", "N", n, n, a, lda, "F(A) = EXP(2A)", ifail); - x04ca.eval(); - - //Print the norm oof the imaginary part to check if it small - System.out.println(); - System.out.printf("Imnorm = %.2f\n", imnorm); - } - - /** - * fexp2 class representing f routine argument - */ - public static class fexp2 extends F01EM.Abstract_F01EM_F{ - public void eval(){ - NAGComplex two = new NAGComplex(2, 0); - NAGComplex twoPowM = new NAGComplex(2, 0); - - twoPowM.setRe(Math.pow(2, this.M)); - - for(int i = 0; i < this.NZ; i++){ - this.FZ[i] = NAGComplex.multiply(twoPowM, this.complexExp(NAGComplex.multiply(two, (NAGComplex) this.Z[i]))); - } - - //Set iflag nonzero to terminate exectuion for any reason - this.IFLAG = 0; - } - - //Raises e ^ z where z is a complex number - //Uses eulers formula; - //c ^ (a + bi) = c^a * ((cos(bln(c))) + isin(bln(c))) - public NAGComplex complexExp(NAGComplex x){ - NAGComplex tmp = new NAGComplex(); - tmp.setRe(Math.cos(x.getIm())); - tmp.setIm(Math.sin(x.getIm())); - NAGComplex ans = NAGComplex.multiply(new NAGComplex(Math.exp(x.getRe()), 0), tmp); - return ans; - } - } -} diff --git a/simple_examples/source/int32/F02EKJE.java b/simple_examples/source/int32/F02EKJE.java deleted file mode 100644 index 3737022..0000000 --- a/simple_examples/source/int32/F02EKJE.java +++ /dev/null @@ -1,227 +0,0 @@ -import com.nag.routines.F02.F02EK; -import com.nag.routines.F12.F12AD; -import com.nag.routines.Routine; -import com.nag.routines.X02.X02AJ; -import com.nag.types.NAGComplex; -import com.nag.types.NAGComplexInterface; -import java.util.Arrays; - -/** - * F02EK example program text. - * @author joed - */ -public class F02EKJE { - - public static MYMONIT mymonit = new MYMONIT(); - public static MYOPTION myoption = new MYOPTION(); - - public static void main(String[] args) { - F02EK f02ek = new F02EK(); - X02AJ x02aj = new X02AJ(); - double h, rho, s, sigma; - int ifail, imon, k, ldv, maxit, mode, n, nconv, ncv, nev, nnz, nx, - prtlvl; - NAGComplex complex = new NAGComplex(); - double[] a, resid, v, ruser = new double[1]; - int[] icolzp, irowix, iuser = new int[4]; - NAGComplex[] w; - - Routine.setComplex(complex); - - System.out.println(" F02EKJ Example Program Results"); - System.out.println(); - - nx = 10; - nev = 4; - ncv = 20; - rho = 10.0; - sigma = 5.5; - - n = nx * nx; - nnz = 3*n - 2; - ldv = n; - - resid = new double[ncv]; - a = new double[nnz]; - icolzp = new int[n + 1]; - irowix = new int[nnz]; - w = (NAGComplex[]) complex.getArrayOfInstances(ncv); - v = new double[ldv * ncv]; - - // Construct A in compressed column storage (CCS) format where: - // A{ i , i } = 2 + i - // A{i+1, i } = 3 - // A{ i , i+1} = rho/(2n+2) - 1 - - h = 1.0 / (double)(n+1); - s = (rho * h / 2.0) - 1.0; - - a[0] = 2.0 + 1.0; - a[1] = 3.0; - icolzp[0] = 1; - irowix[0] = 1; - irowix[1] = 2; - k = 3; - - for (int i = 1; i < n - 1; i++) { - icolzp[i] = k; - irowix[k - 1] = i; - irowix[k] = i + 1; - irowix[k + 1] = i + 2; - a[k - 1] = s; - a[k] = 2.0 + (double)(i + 1); - a[k + 1] = 3.0; - k += 3; - } - - icolzp[n - 1] = k; - icolzp[n] = k + 2; - irowix[k - 1] = n - 1; - irowix[k] = n; - a[k - 1] = s; - a[k] = 2.0 + (double)(n); - - // Set some options via iuser array and return routine argument OPTION - // iuser[0] = print level - // iuser[1] = iteration limit - // iuser[2] > 0 means shifted-invert mode - // iuser[3] > 0 means print monitoring info - - prtlvl = 0; - maxit = 500; - mode = 1; - imon = 1; - - if (prtlvl > 0) { - imon = 0; - } - - iuser[0] = prtlvl; - iuser[1] = maxit; - iuser[2] = mode; - iuser[3] = imon; - - nconv = 0; // placeholder value, nconv is output only - ifail = 0; // hard exit on error - - f02ek.eval( - n, nnz, a, icolzp, irowix, nev, ncv, sigma, mymonit, myoption, - nconv, w, v, ldv, resid, iuser, ruser, ifail - ); - ifail = f02ek.getIFAIL(); - nconv = f02ek.getNCONV(); - - System.out.println(); - System.out.printf( - " The %4d Ritz values of closest to %13.5E are:\n", nconv, sigma - ); - - // Get machine precision - double mp = x02aj.eval(); - - for (int i = 0; i < nconv; i++) { - if (resid[i] > (double)(100*n*mp)) { - System.out.printf( - " %8d ( %13.5E , %13.5E ) %13.5E\n", - i + 1, w[i], resid[i] - ); - } - else { - System.out.printf( - " %8d ( %13.5E , %13.5E )\n", - i + 1, w[i].getRe(), w[i].getIm() - ); - } - } - - } - - public static class MYOPTION extends F02EK.Abstract_F02EK_OPTION { - - public void eval() { - F12AD f12ad = new F12AD(); - int ifail1; - String rec = " "; - - this.ISTAT = 0; - - if (this.IUSER[0] > 0) { - System.out.printf("Print Level=%5d\n", this.IUSER[0]); - ifail1 = 1; - f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[1] > 100) { - System.out.printf("Iteration Limit=%5d\n", this.IUSER[1]); - ifail1 = 1; - f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[2] > 0) { - ifail1 = 1; - f12ad.eval( - "Shifted Inverse Real ", this.ICOMM, this.COMM, ifail1 - ); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - } - - } - - public static class MYMONIT extends F02EK.Abstract_F02EK_MONIT { - - public NAGComplexInterface[] getW() { - return this.W; - } - - public void eval() { - - if (this.IUSER[3] > 0) { - - if (this.NITER == 1 && this.IUSER[2] > 0) { - System.out.printf( - " Arnoldi basis vectors used:%4d\n", this.NCV - ); - System.out.printf( - " The following Ritz values (mu) are related to the\n" - + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" - ); - } - - System.out.println(); - System.out.printf(" Iteration number %4d\n", this.NITER); - System.out.printf( - " Ritz values converged so far (%4d) and their Ritz" - + " estimates:\n", this.NCONV - ); - - for (int i = 0; i < this.NCONV; i++) { - System.out.printf( - " %4d (%13.5E,%13.5E) %13.5E\n", - i + 1, this.W[i].getRe(), this.W[i].getIm(), - this.RZEST[i] - ); - } - - System.out.printf(" Next (unconverged) Ritz value:\n"); - - System.out.printf( - " %4d (%13.5E,%13.5E)\n", - this.NCONV + 1, this.W[NCONV].getRe(), this.W[NCONV].getIm() - ); - - } - - this.ISTAT = 0; - - } - - } - -} diff --git a/simple_examples/source/int32/F02FKJE.java b/simple_examples/source/int32/F02FKJE.java deleted file mode 100644 index 0dd7ab9..0000000 --- a/simple_examples/source/int32/F02FKJE.java +++ /dev/null @@ -1,230 +0,0 @@ -import com.nag.routines.F02.F02FK; -import com.nag.routines.F12.F12FD; -import com.nag.routines.X04.X04AB; -import com.nag.routines.X04.X04CA; -import java.util.Arrays; - -/** - * F02FK example program text. - * @author joed - */ -public class F02FKJE { - - public static MYMONIT mymonit = new MYMONIT(); - public static MYOPTION myoption = new MYOPTION(); - - public static void main(String[] args) { - F02FK f02fk = new F02FK(); - X04AB x04ab = new X04AB(); - X04CA x04ca = new X04CA(); - double h2, sigma; - int iset = 1, ifail, imon, k, ldv, lo, maxit, mode, n, nconv, ncv, nev, - nnz, nx, outchn, prtlvl; - double[] a, dPrint, resid, v, w, ruser = new double[1]; - int[] icol, irow, iuser = new int[4]; - - - System.out.println(" F02FKJ Example Program Results"); - System.out.println(); - - nx = 20; - nev = 8; - ncv = 20; - sigma = 1.0; - - // Construct the matrix A in sparse form and store in A. - // The main diagonal of A is full and there are two subdiagonals of A: - // the first and the nx-th. - - n = nx * nx; - nnz = (3 * n) - (2 * nx); - a = new double[nnz]; - irow = new int[nnz]; - icol = new int[nnz]; - - // Zero out A. - Arrays.fill(a, 0.0); - - // Main diagonal of A. - h2 = 1.0 / (double)((nx + 1) * (nx + 1)); - for (int i = 1; i <= n; i++) { - irow[i - 1] = i; - icol[i - 1] = i; - a[i - 1] = 4.0 / h2; - } - - // First subdiagonal of A. - k = n; - for (int i = 1; i <= nx; i++) { - lo = (i - 1) * nx; - for (int j = lo + 1; j <= lo + nx - 1; j++) { - k += 1; - irow[k - 1] = j + 1; - icol[k - 1] = j; - a[k - 1] = -1.0 / h2; - } - } - - // nx-th subdiagonal. - for (int i = 1; i <= nx - 1; i++) { - lo = (i - 1) * nx; - for (int j = lo + 1; j <= lo + nx; j++) { - k += 1; - irow[k - 1] = j + nx; - icol[k - 1] = j; - a[k - 1] = -1.0 / h2; - } - } - - // Set some options via iuser array and routine argument OPTION. - // iuser[0] = print level, - // iuser[1] = iteration limit, - // iuser[2]>0 means shifted-invert mode - // iuser[3]>0 means print monitoring info - - prtlvl = 0; - maxit = 500; - mode = 1; - imon = 0; - - ruser[0] = 1.0; - iuser[0] = prtlvl; - iuser[1] = maxit; - iuser[2] = mode; - iuser[3] = imon; - - // Find eigenvalues of largest magnitude and the corresponding - // eigenvectors. - - ldv = n; - w = new double[ncv]; - v = new double[ldv * ncv]; - resid = new double[n]; - - nconv = 0; // placeholder - - ifail = -1; - f02fk.eval( - n, nnz, a, irow, icol, nev, ncv, sigma, mymonit, myoption, nconv, - w, v, ldv, resid, iuser, ruser, ifail - ); - ifail = f02fk.getIFAIL(); - nconv = f02fk.getNCONV(); - if (ifail != 0) { - System.err.println(" ** F02FK returned with IFAIL = " + ifail); - } - - - - // Print Eigenvalues and the residual norm ||A*x - lambda*x||. - dPrint = new double[nconv * 2]; - for (int i = 1; i <= nconv; i++) { - dPrint[getIdx(i, 1, nconv)] = w[i - 1]; - dPrint[getIdx(i, 2, nconv)] = resid[i - 1]; - } - - System.out.println(); - - ifail = 0; - x04ca.eval( - "G", "N", nconv, 2, dPrint, nconv, " Ritz values and residuals", - ifail - ); - - } - - public static class MYOPTION extends F02FK.Abstract_F02FK_OPTION { - - public void eval() { - F12FD f12fd = new F12FD(); - int ifail1; - String rec = " "; // Required len = 25 - - this.ISTAT = 0; - - if (this.IUSER[0] > 0) { - System.out.printf(" Print Level=%5d\n", this.IUSER[0]); - ifail1 = 1; - f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12fd.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[1] > 100) { - System.out.printf(" Iteration Limit=%5d\n", this.IUSER[1]); - ifail1 = 1; - f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12fd.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[2] > 0) { - ifail1 = 1; - f12fd.eval( - "Shifted Inverse ", this.ICOMM, this.COMM, ifail1 - ); - ifail1 = f12fd.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - } - - } - - public static class MYMONIT extends F02FK.Abstract_F02FK_MONIT { - - public void eval() { - - if (this.IUSER[3] > 0) { - - if (this.NITER == 1 && this.IUSER[2] > 0) { - System.out.printf( - " Arnoldi basis vectors used:%4d\n", this.NCV - ); - System.out.printf( - " The following Ritz values (mu) are related to the\n" - + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" - ); - } - - System.out.println(); - System.out.printf(" Iteration number %4d\n", this.NITER); - System.out.printf( - " Ritz values converged so far(%4d) and their Ritz" - + " estimates:\n", this.NCONV - ); - - for (int i = 0; i < this.NCONV; i++) { - System.out.printf( - " %4d %13.5E %13.5E\n", i+1, this.W[i], this.RZEST[i] - ); - } - - System.out.printf(" Next (uncoverged) Ritz value:\n"); - System.out.printf( - " %4d %13.5E\n", this.NCONV + 1, this.W[this.NCONV + 1] - ); - - } - - this.ISTAT = 0; - - } - - } - - /** - * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based - * Java index. - * - *

    Fortran array definition: - * a(dimX, *) - * - *

    Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return ((y-1) * dimX) + (x-1); - } - -} diff --git a/simple_examples/source/int32/F02WGJE.java b/simple_examples/source/int32/F02WGJE.java deleted file mode 100644 index 36c26c6..0000000 --- a/simple_examples/source/int32/F02WGJE.java +++ /dev/null @@ -1,132 +0,0 @@ -import com.nag.routines.F02.F02WG; -import java.util.Arrays; - -/** - * F02WG example program text. - * @author joed - */ -public class F02WGJE { - - public static AV av = new AV(); - - public static void main(String[] args) { - int ifail, k, ldu, ldv, m, n, nconv, ncv; - double[] resid, sigma, u, v; - double[] ruser = new double[1]; - int[] iuser = new int[1]; - - /* Set up wrappers */ - F02WG f02wg = new F02WG(); - - System.out.println(" F02WGJ Example Program Results\n"); - - /* Set F02WG args */ - m = 100; - n = 500; - k = 4; - ncv = 10; - nconv = 0; - ldu = m; - ldv = n; - resid = new double[ncv]; - sigma = new double[ncv]; - u = new double[ldu * ncv]; - v = new double[ldv * ncv]; - ifail = 0; - - /* Call routine */ - f02wg.eval( - m, // Rows in A - n, // Cols in A - k, // Num. of singular values to be computed - ncv, // Dimension of sigma and resid - av, // Subroutine that returns Ax or (A^T)x - nconv, // [Output] - sigma, // [Output] - u, // [Output] - ldu, // 1st dimension of u - v, // [Output] - ldv, // 1st dimension of v - resid, // [Output] - iuser, - ruser, - ifail - ); - - /* Get non-array output args */ - ifail = f02wg.getIFAIL(); - nconv = f02wg.getNCONV(); - - /* Print results */ - System.out.println(" Singular Value Residual"); - for (int i = 0; i < nconv; i++) { - System.out.printf( - " %10.5f %10.2G\n", sigma[i], resid[i] - ); - } - - } - - public static class AV extends F02WG.Abstract_F02WG_AV { - - public void eval() { - - double H = 1.0 / ((double)(this.M + 1)); - double K = 1.0 / ((double)(this.N + 1)); - - if (this.IFLAG == 1) { - - for (int i = 0; i < this.M; i++) { - this.AX[i] = 0.0; - } - - double S = 0.0; - double T = 0.0; - - for (int j = 0; j < this.N; j++) { - T += K; - S = 0.0; - - for (int i = 0; i < Math.min(j+1, this.M); i++) { - S += H; - this.AX[i] += K * S * (T - 1.0) * this.X[j]; - } - for (int i = j + 1; i < this.M; i++) { - S += H; - this.AX[i] += K * T * (S - 1.0) * this.X[j]; - } - - } - - } - else { - - for (int i = 0; i < this.N; i++) { - this.AX[i] = 0.0; - } - - double S = 0.0; - double T = 0.0; - - for (int j = 0; j < this.N; j++) { - T += K; - S = 0.0; - - for (int i = 0; i < Math.min(j+1, this.M); i++) { - S += H; - this.AX[j] += K * S * (T - 1.0) * this.X[i]; - } - for (int i = j + 1; i < this.M; i++) { - S += H; - this.AX[j] += K * T * (S - 1.0) * this.X[i]; - } - - } - - } - - } - - } - -} diff --git a/simple_examples/source/int32/F03BAJE.java b/simple_examples/source/int32/F03BAJE.java deleted file mode 100644 index 673ddec..0000000 --- a/simple_examples/source/int32/F03BAJE.java +++ /dev/null @@ -1,108 +0,0 @@ -import com.nag.routines.F03.F03BA; -import com.nag.routines.F07.F07AD; -import com.nag.routines.X04.X04CA; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * F03BAJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class F03BAJE{ - - /** - * F03BAJ example main program. - */ - public static void main(String[] args){ - double d = 0; - int id = 0, ifail, info = 0, lda = 0, n = 0; - double[] a; - int[] ipiv; - - //Should initialise values so java doesn't give any errors because of try/catch - a = new double[n]; - ipiv = new int[n]; - - System.out.println("F03BAJ Example Program Results"); - - //If file name not given print usage info - if(args.length != 1){ - F03BAJE.usage(); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[1]); - - lda = n; - - //reallocate with values from data file - a = new double[n * lda]; - ipiv = new int[n]; - - //read in matrix - for(int i = 0; i < n; i++){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int j = 0; j < n; j++){ - a[i + (j * n)] = Double.parseDouble(sVal[j]); - } - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - F07AD f07ad = new F07AD(n, n, a, lda, ipiv, info); - f07ad.eval(); - - ifail = 0; - - //Print out matrix - System.out.println(); - X04CA x04ca = new X04CA("G", "N", n, n, a, lda, "Array A after factorization", ifail); - x04ca.eval(); - - System.out.println(); - System.out.println("Pivots"); - for(int i = 0; i < n; i++){ - System.out.printf("\t%d ", ipiv[i]); - } - System.out.printf("\n"); - System.out.println(); - - ifail = 0; - - F03BA f03ba = new F03BA(n, a, lda, ipiv, d, id, ifail); - f03ba.eval(); - d = f03ba.getD(); - id = f03ba.getID(); - - System.out.printf("D = \t%.5f ID = \t%d\n", d, id); - System.out.println(); - System.out.printf("Value of determinant = %.5e\n", d * Math.pow(2.0, id)); - - } - - /** - * Print usage information. - */ - private static void usage(){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - -} - diff --git a/simple_examples/source/int32/F04AMJE.java b/simple_examples/source/int32/F04AMJE.java deleted file mode 100644 index a498b2b..0000000 --- a/simple_examples/source/int32/F04AMJE.java +++ /dev/null @@ -1,114 +0,0 @@ -import com.nag.routines.F04.F04AM; -import com.nag.routines.X02.X02AJ; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * F04AMJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class F04AMJE{ - - /** - * F04AMJ example main program. - */ - public static void main(String[] args){ - int m = 0, n = 0; - int ifail, ir, lda, ldb, ldqr, ldx; - double eps; - double[] a, b, alpha, e, qr, r, x, y, z; - int[] ipiv; - - System.out.println("F04AMJ Example Program Results"); - - if(args.length != 1){ - F04AMJE.usage(); - } - - //declare so try/catch works - a = new double[0]; - b = new double[0]; - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - m = Integer.parseInt(sVal[1]); - n = Integer.parseInt(sVal[2]); - - a = new double[m * n]; - b = new double[m * 1]; - - for(int i = 0; i < m; i++){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int j = 0; j < n; j++){ - a[i + (j * m) ] = Double.parseDouble(sVal[j]); - } - for(int j = n; j < m; j++){ - b[i + (j * (m - (n + 1)))] = Double.parseDouble(sVal[j]); - } - } - } - catch(FileNotFoundException err){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException err){ - System.err.println("***FATAL: Can't read " + filename + "\n" + err.getMessage()); - } - //Setting these in try block is more robust but less neat - //May be needed for array sizes~ - ir = 1; - lda = m; - ldb = m; - ldqr = m; - ldx = n; - - alpha = new double[n]; - e = new double[n]; - qr = new double[ldqr * n]; - r = new double[m]; - x = new double[ldx * ir]; - y = new double[n]; - z = new double[n]; - ipiv = new int[n]; - - X02AJ x02aj = new X02AJ(); - eps = x02aj.eval(); - - ifail = 0; - - F04AM f04am = new F04AM(a, lda, x, ldx, b, ldb, m, n, ir, eps, qr, ldqr, alpha, e, y, z, r, ipiv, ifail); - f04am.eval(); - //update any values you want here - x = f04am.getX(); - - System.out.println("Solution"); - for(int i = 0; i < n; i++){ - for(int j = 0; j < ir; j++){ - System.out.printf("%.4f ", x[j + (i * ir)]); - } - System.out.printf("\n"); - } - } - - /** - * No arguments supplied when example runs - */ - private static void usage() { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} - - - - - - diff --git a/simple_examples/source/int32/F04BAJE.java b/simple_examples/source/int32/F04BAJE.java deleted file mode 100644 index 79c2b01..0000000 --- a/simple_examples/source/int32/F04BAJE.java +++ /dev/null @@ -1,144 +0,0 @@ -import com.nag.routines.F04.F04BA; -import com.nag.routines.X04.X04CA; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * F04BAJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class F04BAJE{ - - /** - * F04BAJ example main program. - */ - public static void main(String[] args){ - int n = 0, nrhs = 0, lda = 0, ldb = 0; //placeholder - int ierr, ifail; - double errbnd, rcond; - double a[], b[]; - int ipiv[]; - - a = new double[0]; b = new double[0]; //placeholder - - if(args.length != 1){ - F04BAJE.usage(); - } - - System.out.println("F04BAJ Example Program Results"); - System.out.println(); - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[1]); - nrhs = Integer.parseInt(sVal[2]); - - lda = n; - ldb = n; - - a = new double[lda * n]; - b = new double[ldb * nrhs]; - - line = reader.readLine(); - for(int i = 0; i < lda; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int j = 0; j < n; j++){ - a[i + (j * n)] = Double.parseDouble(sVal[j + 1]); - } - } - - line = reader.readLine(); - for(int i = 0; i < ldb; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int j = 0; j < nrhs; j++){ - b[i + (j * n)] = Double.parseDouble(sVal[j + 1]); - } - } - - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = 1; - ipiv = new int[n]; - rcond = 0; - errbnd = 0; - F04BA f04ba = new F04BA(n, nrhs, a, lda, ipiv, b, ldb, rcond, errbnd, ifail); - f04ba.eval(); - - ifail = f04ba.getIFAIL(); - rcond = f04ba.getRCOND(); - errbnd = f04ba.getERRBND(); - ipiv = f04ba.getIPIV(); - a = f04ba.getA(); - b = f04ba.getB(); - - if(ifail == 0){ - //Print solution, estimate of condition number and approximate error bound. - ierr = 0; - X04CA x04ca = new X04CA("General", " ", n, nrhs, b, ldb, "Solution", ierr); - x04ca.eval(); - - System.out.println(); - System.out.println("Estimate of condition number"); - System.out.printf("%.1e\n", 1/rcond); - System.out.println(); - System.out.println("Esttimate of error bound for computed solutions"); - System.out.printf("%.1e\n", errbnd); - } - else if(ifail == (n + 1)){ - //Matrix A is numerically singular. Print estimate of reciprocal of condition number and solution. - System.out.println(); - System.out.println("Estimate of reciprocal of condition number"); - System.out.printf("%.1e\n", rcond); - System.out.println(); - - ierr = 0; - X04CA x04ca = new X04CA("General", " ", n, nrhs, b, ldb, "Solution", ierr); - x04ca.eval(); - } - else if(ifail > 0 && ifail <= n){ - //The upper triangular matrix U is exactly singular. Print details of factorization. - System.out.println(); - - ierr = 0; - X04CA x04ca = new X04CA("General", " ", n, n, a, lda, "Details of factorization", ierr); - x04ca.eval(); - - System.out.println(); - System.out.println("Pivot indices"); - for(int i = 0; i < n; i++){ - System.out.printf("%d ", ipiv[i]); - } - System.out.printf("\n"); - } - else{ - System.out.printf(" ** F04BAF returned with IFAIL = %d\n", ifail); - } - - } - - /** - * No arguments supplied when example runs - */ - private static void usage() { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} diff --git a/simple_examples/source/int32/F05AAJE.java b/simple_examples/source/int32/F05AAJE.java deleted file mode 100644 index 317c269..0000000 --- a/simple_examples/source/int32/F05AAJE.java +++ /dev/null @@ -1,99 +0,0 @@ -import com.nag.routines.F05.F05AA; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * F05AAJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class F05AAJE{ - - /** - * F05AAJ example main program. - */ - public static void main(String[] args) { - //Should initialise values to avoid issues with try/catch - int icol = 0, ifail = 0, lda = 0, m = 0, n1 = 0, n2 = 0; - double cc = 0; - double[] a, s; - - //same as ints - a = new double[1]; - s = new double[1]; - System.out.println("F05AAJ Example Program Results"); - System.out.println(); - - //supply data - if(args.length != 1){ - F05AAJE.usage(); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+");; - m = Integer.parseInt(sVal[1]); - n1 = Integer.parseInt(sVal[2]); - n2 = Integer.parseInt(sVal[3]); - lda = m; - - a = new double[lda*n2]; - s = new double[n2]; - - //read in a from data - for(int i = 0; i < n2; i++){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int j = 0; j < m; j++){ - a[i + (j * n2)] = Double.parseDouble(sVal[j]); - } - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - //create object then eval - F05AA f05aa = new F05AA(a, lda, m, n1, n2, s, cc, icol, ifail); - f05aa.eval(); - - //update values - n1 = f05aa.getN1(); - n2 = f05aa.getN2(); - cc = f05aa.getCC(); - icol = f05aa.getICOL(); - a = f05aa.getA(); - - System.out.printf("N1 = %d N2 = %d\n", n1, n2); - System.out.println(); - System.out.printf("CC = %.4f ICOL = %d\n", cc, icol); - System.out.println(); - System.out.println("Final Vectors"); - - for(int i = 0; i < n2; i++){ - for(int j = 1; j < m; j++){ - System.out.printf("%.4f ", a[i +(j * n2)]); - } - System.out.printf("\n"); - } - } - - /** - * Print usage information. - */ - private static void usage(){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} - diff --git a/simple_examples/source/int32/F06CLJE.java b/simple_examples/source/int32/F06CLJE.java deleted file mode 100644 index ca2ac5e..0000000 --- a/simple_examples/source/int32/F06CLJE.java +++ /dev/null @@ -1,40 +0,0 @@ -import com.nag.routines.F06.F06CL; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; - -/** - * F06CL example program text. - * @author ludovic - */ -public class F06CLJE { - - public static void main(String[] args) { - boolean fail = false; - NAGComplex z1 = new NAGComplex(); - NAGComplex z2 = new NAGComplex(); - NAGComplex z3 = new NAGComplex(); - - System.out.println(" F06CLJ Example Program Results"); - System.out.println(); - - Routine.complex = z1; - - z1.setRe(1.0); - z1.setIm(1.0); - z2.setRe(2.0); - z2.setIm(2.0); - - F06CL f06cl = new F06CL(z1,z2,fail); - z3 = (NAGComplex)f06cl.eval(); - fail = f06cl.getFAIL(); - - if (fail) { - System.err.println(" Something went wrong..."); - } - else { - System.out.println(" " + z1.toString() + "/"+ z2.toString() + " = " + z3.toString()); - } - - } - -} diff --git a/simple_examples/source/int32/F07AAJE.java b/simple_examples/source/int32/F07AAJE.java deleted file mode 100644 index 26eb5dc..0000000 --- a/simple_examples/source/int32/F07AAJE.java +++ /dev/null @@ -1,90 +0,0 @@ -import com.nag.routines.F07.F07AA; -import com.nag.routines.X04.X04CA; -import java.util.Arrays; - -/** - * F07AA example program text. - * @author joed - */ -public class F07AAJE { - - public static void main(String[] args) { - - int i, ifail, info, lda, ldb, n; - double[] a, b; - int[] ipiv; - - System.out.println(" F07AAJ Example Program Results"); - System.out.println(); - - n = 4; - lda = n; - ldb = n; - - a = new double[n*n]; - b = new double[n]; - ipiv = new int[n]; - - a[0+0*n] = 1.80; - a[0+1*n] = 2.88; - a[0+2*n] = 2.05; - a[0+3*n] = -0.89; - a[1+0*n] = 5.25; - a[1+1*n] = -2.95; - a[1+2*n] = -0.95; - a[1+3*n] = -3.80; - a[2+0*n] = 1.58; - a[2+1*n] = -2.69; - a[2+2*n] = -2.90; - a[2+3*n] = -1.04; - a[3+0*n] = -1.11; - a[3+1*n] = -0.66; - a[3+2*n] = -0.59; - a[3+3*n] = 0.80; - - b[0] = 9.52; - b[1] = 24.35; - b[2] = 0.77; - b[3] = -6.22; - - /* Solve the equations Ax = b for x */ - - F07AA f07aa = new F07AA(); - info = 0; - f07aa.eval(n, 1, a, lda, ipiv, b, ldb, info); - info = f07aa.getINFO(); - - if (info == 0) { - - /* Print solution */ - - System.out.println(" Solution"); - for (i = 0; i < n; i++) { - System.out.printf(" %11.4f", b[i]); - } - System.out.printf("\n"); - - /* Print details of factorization */ - - System.out.println(); - X04CA x04ca = new X04CA(); - ifail = 0; - x04ca.eval("General", " ", n, n, a, lda, "Details of factorization", ifail); - - /* Print pivot indices */ - - System.out.println(); - System.out.println(" Pivot indices"); - for (i = 0; i < n; i++) { - System.out.printf(" %11d", ipiv[i]); - } - System.out.printf("\n"); - - } - else { - System.err.printf(" The (%3d,%3d) element of the factor U is zero\n", info, info); - } - - } - -} diff --git a/simple_examples/source/int32/F07ABJE.java b/simple_examples/source/int32/F07ABJE.java deleted file mode 100644 index 6362739..0000000 --- a/simple_examples/source/int32/F07ABJE.java +++ /dev/null @@ -1,134 +0,0 @@ -import com.nag.routines.F07.DGESVX; -import com.nag.routines.X04.X04CA; - -/** - * F07ABJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class F07ABJE{ - - /** - * F07ABJ example main program - */ - public static void main(String[] args){ - double rcond = 0; - int ifail, info = 0, lda, ldaf, ldb, ldx, n, nrhs; //placeholders - String equed; - double[] a, af, b, berr, c, ferr, r, work, x; - int[] ipiv, iwork; - - System.out.println("F07ABJ Example Program Results"); - System.out.println(); - - //Problem size - n = 4; - nrhs = 2; - lda = n; - ldaf = n; - ldb = n; - ldx = n; - - //Allocate - a = new double[lda * n]; - af = new double[ldaf * n]; - b = new double[ldb * nrhs]; - berr = new double[nrhs]; - c = new double[n]; - ferr = new double[nrhs]; - r = new double[n]; - work = new double[4 * n]; - x = new double[ldx * nrhs]; - ipiv = new int[n]; - iwork = new int[n]; - equed = " "; - - //Matrices A and B - a[0] = 1.8; - a[1] = 525; - a[2] = 1.58; - a[3] = -1.11; - a[4] = 2.88; - a[5] = -295; - a[6] = -2.69; - a[7] = -0.66; - a[8] = 2.05; - a[9] = -95; - a[10] = -2.9; - a[11] = -0.59; - a[12] = -0.89; - a[13] = -380; - a[14] = -1.04; - a[15] = 0.8; - b[0] = 9.52; - b[1] = 2435; - b[2] = 0.77; - b[3] = -6.22; - b[4] = 18.47; - b[5] = 225; - b[6] = -13.28; - b[7] = -6.21; - - //Solve the equations AX = B for X - //The NAG name equivalent of dgesvx is f07abf - DGESVX dgesvx = new DGESVX("Equilibration", "No Transpose", n, nrhs, a, lda, af, ldaf, ipiv, equed, r, - c, b, ldb, x, ldx, rcond, ferr, berr, work, iwork, info); - dgesvx.eval(); - - //Update - info = dgesvx.getINFO(); - equed = dgesvx.getEQUED(); - rcond = dgesvx.getRCOND(); - - if(info == 0 || info == n + 1){ - //Print solution, error bounds, condition number, the form of equilibration and the pivot growth factor - - //ifail: behaviour on error exit - // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft - ifail = 0; - X04CA x04ca = new X04CA("General", " ", n, nrhs, x, ldx, "Solution(s)", ifail); - x04ca.eval(); - - System.out.println(); - System.out.println("Backward errors (machine-dependent)"); - for(int i = 0; i < nrhs; i++){ - System.out.printf(" %.1e ", berr[i]); - } - System.out.println(); - System.out.println(); - System.out.println("Estimated forward error bounds (machine-dependent)"); - for(int i = 0; i < nrhs; i++){ - System.out.printf(" %.1e ", ferr[i]); - } - System.out.println(); - System.out.println(); - if(equed.equals("N")){ - System.out.println("A has not been equilibrated"); - } - else if(equed.equals("R")){ - System.out.println("A has been row scaled as diag(R)*A"); - } - else if(equed.equals("C")){ - System.out.println("A has been column scaled as A*diag(C)"); - } - else if(equed.equals("B")){ - System.out.println("A has been row and column scaled as diag(R)*A*diag(C)"); - } - System.out.println(); - System.out.println("Reciprocal condition number estimate of scaled matrix"); - System.out.printf(" %.1e\n", rcond); - System.out.println(); - System.out.println("Estimate of reciprocal pivot growth factor"); - System.out.printf(" %.1e\n", work[0]); - System.out.println(); - - if(info == n + 1){ - System.out.println(); - System.out.println("The matrix A is singular to working precision"); - } - } - else{ - System.out.println("The (" + info + ", " + info + ")" + " element of the factor U is zero"); - } - } -} diff --git a/simple_examples/source/int32/F07ADJE.java b/simple_examples/source/int32/F07ADJE.java deleted file mode 100644 index 4450683..0000000 --- a/simple_examples/source/int32/F07ADJE.java +++ /dev/null @@ -1,72 +0,0 @@ -import com.nag.routines.F07.DGETRF; -import com.nag.routines.X04.X04CA; - -/** - * F07ADJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class F07ADJE{ - - /** - * F07ADJ Example main program - */ - public static void main(String[] args){ - int ifail, info = 0, lda, m, n; - double[] a; - int[] ipiv; - - System.out.println("F07ADJ Example Program Results"); - System.out.println(); - - //Problem size (can be read from data file) - m = 4; - n = 4; - lda = m; - - //Data - ipiv = new int[n]; - a = new double[m * n]; - a[0] = 1.8; - a[1] = 5.25; - a[2] = 1.58; - a[3] = -1.11; - a[4] = 2.88; - a[5] = -2.95; - a[6] = -2.69; - a[7] = -0.66; - a[8] = 2.05; - a[9] = -0.95; - a[10] = -2.9; - a[11] = -0.59; - a[12] = -0.89; - a[13] = -3.8; - a[14] = -1.04; - a[15] = 0.8; - - //Factorize A - //The NAG name equivalent of dgetrf is F07ADF - DGETRF dgetrf = new DGETRF(m, n, a, lda, ipiv, info); - dgetrf.eval(); - - //Update - info = dgetrf.getINFO(); - - //ifail: behaviour on error exit - // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft - ifail = 0; - X04CA x04ca = new X04CA("General", " ", m, n, a, lda, "Details of factorization", ifail); - x04ca.eval(); - - //Print pivot indices - System.out.println("IPIV"); - for(int i = 0; i < Math.min(m, n); i++){ - System.out.printf("\t%d", ipiv[i]); - } - System.out.println(); - - if(info != 0){ - System.out.println("The factor U is singular"); - } - } -} diff --git a/simple_examples/source/int32/F07AQJE.java b/simple_examples/source/int32/F07AQJE.java deleted file mode 100644 index 5ee47e5..0000000 --- a/simple_examples/source/int32/F07AQJE.java +++ /dev/null @@ -1,99 +0,0 @@ -import com.nag.routines.F07.F07AQ; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; -import com.nag.types.NAGComplexF; - -/** - * F07AQ example program text. - * @author joed - * @since 27.1.0.0 - */ -public class F07AQJE { - - public static void main(String[] args) { - - F07AQ f07aq = new F07AQ(); - int info, iter, lda, ldb, ldx, n, r; - NAGComplex[] a, b, work, x; - NAGComplexF[] swork; - double[] rwork; - int[] ipiv; - - System.out.println(" F07AQJ Example Program Results"); - System.out.println(); - - // Set dimensions and instantiate arrays - n = 4; - r = 1; - lda = ldb = ldx = n; - a = new NAGComplex[lda*n]; - b = new NAGComplex[ldb*r]; - work = (NAGComplex[]) (new NAGComplex()).getArrayOfInstances(n*r); - x = (NAGComplex[]) (new NAGComplex()).getArrayOfInstances(ldx*r); - swork = (NAGComplexF[]) (new NAGComplexF()).getArrayOfInstances(n*(n+r)); - ipiv = new int[n]; - rwork = new double[n]; - - // Set A - a[0] = new NAGComplex(-1.34, 2.55); // Column 1 - a[1] = new NAGComplex(-0.17, -1.41); - a[2] = new NAGComplex(-3.29, -2.39); - a[3] = new NAGComplex(2.41, 0.39); - a[4] = new NAGComplex(0.28, 3.17); // Column 2 - a[5] = new NAGComplex(3.31, -0.15); - a[6] = new NAGComplex(-1.91, 4.42); - a[7] = new NAGComplex(-0.56, 1.47); - a[8] = new NAGComplex(-6.39, -2.20); // Column 3 - a[9] = new NAGComplex(-0.15, 1.34); - a[10] = new NAGComplex(-0.14, -1.35); - a[11] = new NAGComplex(-0.83, -0.69); - a[12] = new NAGComplex(0.72, -0.92); // Column 4 - a[13] = new NAGComplex(1.29, 1.38); - a[14] = new NAGComplex(1.72, 1.35); - a[15] = new NAGComplex(-1.96, 0.67); - - // Set B - b[0] = new NAGComplex(26.26,51.78); - b[1] = new NAGComplex( 6.43,-8.68); - b[2] = new NAGComplex(-5.75,25.31); - b[3] = new NAGComplex( 1.16, 2.57); - - // Notify wrappers of complex types - Routine.setComplex(new NAGComplex()); - Routine.setComplexF(new NAGComplexF()); - - // Solve the equations Ax = b for x - iter = info = 0; - f07aq.eval(n, r, a, lda, ipiv, b, ldb, x, ldx, work, swork, rwork, iter, info); - iter = f07aq.getITER(); - info = f07aq.getINFO(); - - if (info == 0) { - - // Print solution - - System.out.println(" Solution"); - for (int i = 0; i < n; i++) { - for (int j = 0; j < r; j++) { - System.out.printf(" (%7.4f,%7.4f)", x[j*n+i].getRe(), x[j*n+i].getIm()); - } - } - System.out.println(); - - // Print pivot indices - - System.out.println(); - System.out.println(" Pivot indices"); - for (int i = 0; i < n; i++) { - System.out.printf(" %11d", ipiv[i]); - } - System.out.println(); - - } - else { - System.out.printf(" The (%3d,%3d) element of the factor U is zero", info, iter); - } - - } - -} diff --git a/simple_examples/source/int32/F07FAJE.java b/simple_examples/source/int32/F07FAJE.java deleted file mode 100644 index e516051..0000000 --- a/simple_examples/source/int32/F07FAJE.java +++ /dev/null @@ -1,79 +0,0 @@ -import com.nag.routines.F07.F07FA; -import com.nag.routines.X04.X04CA; - -/** - * F07FA example program text. - * @author saraht - */ -public class F07FAJE { - - public static void main(String[] args) { - - int i, ifail, info, lda, n; - double[] a, b; - - System.out.println(" F07FAJ Example Program Results"); - System.out.println(); - - n = 4; - lda = n; - - a = new double[n*n]; - b = new double[n]; - - /* A = 4.16 -3.12 0.56 -0.10 - 5.03 -0.83 1.18 - 0.76 0.34 - 1.18 */ - - a[0+0*n] = 4.16; - a[0+1*n] = -3.12; - a[0+2*n] = 0.56; - a[0+3*n] = -0.10; - - a[1+1*n] = 5.03; - a[1+2*n] = -0.83; - a[1+3*n] = 1.18; - - a[2+2*n] = 0.76; - a[2+3*n] = 0.34; - - a[3+3*n] = 1.18; - - b[0] = 8.70; - b[1] = -13.35; - b[2] = 1.89; - b[3] = -4.14; - - /* Solve the equations Ax = b for x */ - - F07FA f07fa = new F07FA(); - info = 0; - f07fa.eval("Upper", n, 1, a, lda, b, n, info); - info = f07fa.getINFO(); - - if (info == 0) { - - /* Print solution */ - - System.out.println(" Solution"); - for (i = 0; i < n; i++) { - System.out.printf(" %11.4f", b[i]); - } - System.out.printf("\n"); - - /* Print details of factorization */ - - System.out.println(); - X04CA x04ca = new X04CA(); - ifail = 0; - x04ca.eval("Upper", "Non-unit diagonal", n, n, a, lda, "Cholesky factor U", ifail); - - } - else { - System.err.printf(" The leading minor of order %d is not positive definite \n", info); - } - - } - -} diff --git a/simple_examples/source/int32/F07FBJE.java b/simple_examples/source/int32/F07FBJE.java deleted file mode 100644 index 09bbd37..0000000 --- a/simple_examples/source/int32/F07FBJE.java +++ /dev/null @@ -1,122 +0,0 @@ -import com.nag.routines.F07.F07FB; -import com.nag.routines.X04.X04CA; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * F07FB example program text. - * @author ludovic - */ -public class F07FBJE { - - public static void main(String[] args) { - String fact,uplo,equed; - int n, nrhs,lda,ldaf,ldb,ldx; - int[] iwork; - double rcond; - double[] a,af,s,b,x,ferr,berr,work; - int info,ifail; - lda = 4; - ldaf = lda; - ldb = lda; - ldx = lda; - nrhs = 2; - n = 4; - a = new double[lda*lda]; - af = new double[ldaf*ldaf]; - b = new double[ldb*nrhs]; - berr = new double[nrhs]; - ferr = new double[nrhs]; - s = new double[lda]; - work = new double[3*lda]; - x = new double[ldx*nrhs]; - iwork = new int[lda]; - info = 1; - rcond = Double.NaN; - fact = "E"; - uplo = "U"; - equed = "Z";//dummy value - /*A = 4.16 -3.12 0.56 -0.10 - 5.03 -0.83 1.18 - 0.76 0.34 - 1.18*/ - a[0] = 4.16; - - a[4] = -3.12; - a[5] = 5.03; - - a[8] = 0.56; - a[9] = -0.83; - a[10] = 0.76; - - a[12] = -0.10; - a[13] = 1.18; - a[14] = 0.34; - a[15] = 1.18; - - /*B= 8.70 8.30 - -13.35 2.13 - 1.89 1.61 - - 4.14 5.00*/ - b[0] = 8.70; - b[1] = -13.35; - b[2] = 1.89; - b[3] = -4.14; - - b[4] = 8.30; - b[5] = 2.13; - b[6] = 1.61; - b[7] = 5.00; - - System.out.println(" F07FBJ Example Program Results"); - System.out.println(); - - F07FB f07fb = new F07FB(fact, uplo, n, nrhs, a, lda, af, ldaf, equed, s, b, - ldb, x, ldx, rcond, ferr, berr, work, iwork, info); - f07fb.eval(); - fact = f07fb.getFACT(); - uplo = f07fb.getUPLO(); - equed = f07fb.getEQUED(); - rcond = f07fb.getRCOND(); - info = f07fb.getINFO(); - - - if ((info == 0) || (info == n+1)) { - ifail = 0; - (new X04CA()).eval("General"," ",n,nrhs,x,ldx,"Solution(s)",ifail); - System.out.println(); - System.out.println(" Backward errors (machine-dependent)"); - System.out.print(" "); - for (int ii = 0; ii < nrhs; ++ii) { - System.out.printf(" %11.1e",berr[ii]); - } - System.out.println("\n"); - System.out.println(" Estimated forward error bounds (machine-dependent)"); - System.out.print(" "); - for (int ii = 0; ii < nrhs; ++ii) { - System.out.printf(" %11.1e",ferr[ii]); - } - System.out.println("\n"); - System.out.println(" Estimate of reciprocal condition number"); - System.out.printf(" %11.1e\n",rcond); - System.out.println(); - if (equed.equalsIgnoreCase("N")) { - System.out.println(" A has not been equilibrated"); - } - else if (equed.equalsIgnoreCase("N")) { - System.out.println(" A has been row and column scaled as diag(S)*A*diag(S)"); - } - - if (info == n+1) { - System.out.println(); - System.out.println(" The matrix A is singular to working precision"); - } - - } - else { - System.out.printf(" The leading minor of order %3d is not positive definite\n"); - } - - } - -} diff --git a/simple_examples/source/int32/F08BTJE.java b/simple_examples/source/int32/F08BTJE.java deleted file mode 100644 index 43c219b..0000000 --- a/simple_examples/source/int32/F08BTJE.java +++ /dev/null @@ -1,228 +0,0 @@ -import static java.lang.Math.*; - -import com.nag.routines.F06.F06JJ; -import com.nag.routines.F06.F06ZJ; -import com.nag.routines.F08.F08AU; -import com.nag.routines.F08.F08BT; -import com.nag.routines.Routine; -import com.nag.routines.X04.X04DB; -import com.nag.types.NAGComplex; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.util.regex.Matcher; -import java.util.regex.Pattern; - -/** - * F08BT example program text. - * @author ludovic - */ -public class F08BTJE { - - public static void main(String[] args) throws FileNotFoundException, IOException { - int incl = 1, nb = 64; - double tol; - int ifail, info = 0, k, lda, ldb, lwork, m, n, nrhs; - NAGComplex[] a, b, tau, work; - double[] rnorm, rwork; - int[] jpvt; - String[] clabs = new String[]{" "}, rlabs = new String[]{" "}; - - // Setup complex constants - NAGComplex one = new NAGComplex(); - NAGComplex zero = new NAGComplex(); - one.setRe(1.0); - one.setIm(0.0); - zero.setRe(0.0); - zero.setIm(0.0); - - // Inform the Routine class of the type of complex in use - can use any complex object - Routine.complex = one; - - System.out.println(" F08BTJ Example Program Results"); - System.out.println(); - - // Read values from data file - BufferedReader br = new BufferedReader(new FileReader(args[0])); - String line = br.readLine(); - line = br.readLine().trim(); - line = br.readLine().trim(); - String[] vals = line.split("\\s+"); - m = Integer.parseInt(vals[0].trim()); - n = Integer.parseInt(vals[1].trim()); - nrhs = Integer.parseInt(vals[2].trim()); - lda = ldb = m; - lwork = (n + 1) * nb; - a = new NAGComplex[lda * n]; - b = new NAGComplex[ldb * nrhs]; - tau = new NAGComplex[n]; - work = new NAGComplex[lwork]; - rnorm = new double[nrhs]; - rwork = new double[2 * n]; - jpvt = new int[n]; - - // Actually initialize the complex arrays - for (int i = 0; i < a.length; ++i) { - a[i] = new NAGComplex(); - } - for (int i = 0; i < b.length; ++i) { - b[i] = new NAGComplex(); - } - for (int i = 0; i < tau.length; ++i) { - tau[i] = new NAGComplex(); - } - for (int i = 0; i < work.length; ++i) { - work[i] = new NAGComplex(); - } - - /* Read A and B from data file */ - - readCompMatrix(br, a, lda, n); - readCompMatrix(br, b, ldb, nrhs); - br.close(); - - /* Initialize JPVT to be zero so that all columns are free */ - - for (int i = 0; i < n; ++i) { - jpvt[i] = 0; - } - - /* Compute the QR factorization of A */ - - F08BT f08bt = new F08BT(m, n, a, lda, jpvt, tau, work, lwork, rwork, info); - f08bt.eval(); - - /* Compute C = (C1) = (Q**H)*B, storing the result in B (C2) */ - - String side = "Left"; - String conjTrans = "Conjugate Transpose"; - F08AU f08au = new F08AU(side, conjTrans, m, nrhs, n, a, lda, tau, b, ldb, work, lwork, info); - f08au.eval(); - a = (NAGComplex[])f08au.getA(); - - /* Choose TOL to reflect the relative accuracy of the input data */ - - tol = 0.01; - - /* Determine and print the rank, K, or R relative to TOL */ - - for (k = 1; k < n + 1; ++k) { - if (abs(a[k - 1 + lda * (k - 1)]) <= tol * abs(a[0])) { - break; - } - } - k = k - 1; - - System.out.println(" Tolerance used to estimate the rank of A"); - System.out.printf(" %11.2E\n", tol); - System.out.println(" Estimated rank of A"); - System.out.printf(" %8d\n", k); - - /* Compute least squares solutions by back-substitution in R(1:K,1:K)*Y = C1 - * storing the result in B */ - - String upDown = "Upper"; - String trans = "No transpose"; - String unit = "Non-Unit"; - F06ZJ f06zj = new F06ZJ(side, upDown, trans, unit, k, nrhs, one, a, lda, b, ldb); - f06zj.eval(); - - /* Compute estimates of the square roots of the residual sums of squares - * (2-norm of each of the columns of C2) */ - - int mMinusK = m - k; - NAGComplex[] btmp = new NAGComplex[b.length]; - for (int i = 0; i < btmp.length; ++i) { - btmp[i] = new NAGComplex(); - } - System.arraycopy(b, k, btmp, 0, b.length - k); - - F06JJ f06jj = new F06JJ(mMinusK, btmp, incl); - rnorm[0] = f06jj.eval(mMinusK, btmp, incl); - System.arraycopy(btmp, 0, b, k, b.length - k); - for (int j = 1; j < nrhs; ++j) { - System.arraycopy(b, k + j * ldb, btmp, 0, b.length - k - j * ldb); - rnorm[j] = f06jj.eval(mMinusK, btmp, incl); - System.arraycopy(btmp,0, b, k + j * ldb, b.length - k - j * ldb); - } - - /* Set the remaining elements of the solutions to zero (to give the - * basic solutions) */ - - for (int i = k; i < n; ++i) { - for (int j = 0; j < nrhs; ++j) { - NAGComplex tmp = new NAGComplex(); - tmp.setRe(0.0); - tmp.setIm(0.0); - b[i + j * ldb] = tmp; - } - } - - /* Permute the least squares solution stored in B to give X = P*Y */ - - for (int j = 0; j < nrhs; j++) { - for (int i = 0; i < n; i++) { - work[jpvt[i] - 1] = b[j*ldb + i]; - } - for (int i = 0; i < n; i++) { - b[j*ldb + i] = work[i]; - } - } - - /* Print least squares solutions */ - - X04DB x04db = new X04DB(); - ifail = 0; - x04db.eval("General"," ",n,nrhs,b,ldb,"Bracketed","F7.4","Least squares solution(s)", - "Integer",rlabs,"Integer",clabs,80,0,ifail); - - /* Print the square roots of the residual sums of squares */ - - System.out.println(); - System.out.println(" Square root(s) of the residual sum(s) of squares"); - System.out.printf(" "); - for (int i = 0; i < nrhs; ++i) { - System.out.printf("%11.2E", rnorm[i]); - } - System.out.println(); - - } - - private static void readCompMatrix(BufferedReader br, NAGComplex[] mat, int row, - int col) throws IOException { - - // matches one complex number (without the brackets...) - String complexPat = "\\(([,0-9\\.\\-\\+\\s]*)\\)"; - String fullPattern = complexPat; - for (int i = 0; i < col -1; ++i) { - fullPattern = fullPattern + "\\s*" + complexPat; - } - fullPattern = fullPattern + ".*"; - Pattern comppat = Pattern.compile(fullPattern); - - for (int i = 0; i < row; ++i) { - String line = br.readLine().trim(); - if (line.equalsIgnoreCase("")) { - line = br.readLine().trim(); - } - Matcher m = comppat.matcher(line.trim()); - if (m.matches()) { - for (int j = 0; j < col; ++j) { - String[] numbers = m.group(j + 1).trim().split(","); - mat[i + j * row].setRe(Double.parseDouble(numbers[0].trim())); - mat[i + j * row].setIm(Double.parseDouble(numbers[1].trim())); - // System.out.print("mat["+i+","+j+"]=("+numbers[0].trim()+","+numbers[1].trim()+") "); - } - // System.out.println(); - } - - - } - } - - private static double abs(NAGComplex z) { - return sqrt(z.getRe() * z.getRe() + z.getIm() * z.getIm()); - } - -} diff --git a/simple_examples/source/int32/F08FAJE.java b/simple_examples/source/int32/F08FAJE.java deleted file mode 100644 index 028f854..0000000 --- a/simple_examples/source/int32/F08FAJE.java +++ /dev/null @@ -1,113 +0,0 @@ -import com.nag.routines.F08.DDISNA; -import com.nag.routines.F08.F08FA; -import com.nag.routines.F16.F16JQ; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X04.X04CA; -import java.util.Arrays; -import java.util.logging.Level; -import java.util.logging.Logger; - - -/** - * F08FA example program text. - * @author ludovic - */ -public class F08FAJE { - - public static void main(String[] args) { - int n = 4, LWork = n*64, lda = n; - double[] a, w, work,zerrbd,rcondz, colVector; - int info = 0, ifail = 0, k = 0; - a = new double[n * n]; - w = new double[n]; - work = new double[LWork]; - zerrbd = new double[n]; - rcondz = new double[n]; - colVector = new double[n]; - - System.out.println(" F08FAJ Example Program Results\n"); - - //array a : Stored in column major way - - a[0] = 1.0; - a[1] = 2.0; - a[2] = 3.0; - a[3] = 4.0; - - a[4] = 2.0; - a[5] = 2.0; - a[6] = 3.0; - a[7] = 4.0; - - a[8] = 3.0; - a[9] = 3.0; - a[10] = 3.0; - a[11] = 4.0; - - a[12] = 4.0; - a[13] = 4.0; - a[14] = 4.0; - a[15] = 4.0; - - //initializing the info parameter - info = 0; - w[0] = Double.NaN; - w[1] = Double.NaN; - w[2] = Double.NaN; - w[3] = Double.NaN; - F08FA f08fa = new F08FA("V", "U", n, a, n, w, work, LWork, info); - f08fa.eval(); - info = f08fa.getINFO(); - - if (info == 0) { - System.out.println(" Eigenvalues"); - System.out.print(" "); - for (int i = 0; i < n; ++i) { - System.out.printf(" %8.4f",w[i]); - } - System.out.println(); - - // Normalize the eigenvectors: largest element positive - F16JQ f16jq = new F16JQ(); // aka blas_damax_val - for (int i = 0; i < n; i++) { - System.arraycopy(a, 4*i, colVector, 0, 4); // Form vector to evaluate - f16jq.eval(n, colVector, 1, k, 0.0); // Get index of largest (absolute) value - k = f16jq.getK() - 1; // Make index zero based - - // Invert sign of column if largest element is negative - if (a[(4*i)+k] < 0) { - for (int j = 0; j < n; j++) { - a[(4*i)+j] = (-1) * a[(4*i)+j]; - } - } - - } - - (new X04CA()).eval("General"," ",n,n,a,lda,"Eigenvectors",ifail); - - double eps = (new X02AJ()).eval(); - double eerrbd = eps*Math.max(Math.abs(w[0]),Math.abs(w[n-1])); - - (new DDISNA()).eval("Eigenvectors",n,n,w,rcondz,info); - for (int i = 0; i < n; ++i) { - zerrbd[i] = eerrbd/rcondz[i]; - } - - System.out.println(); - System.out.println(" Error estimate for the eigenvalues"); - System.out.printf(" %11.1e\n",eerrbd); - System.out.println(); - System.out.println(" Error estimates for the eigenvectors"); - for (int i = 0; i < n; ++i) { - System.out.printf(" %11.1e",zerrbd[i]); - } - System.out.println(); - - } - else { - System.out.printf(" Failure in DSYEV. INFO =%4d",info); - } - - } - -} diff --git a/simple_examples/source/int32/F08XPJE.java b/simple_examples/source/int32/F08XPJE.java deleted file mode 100644 index cc894d3..0000000 --- a/simple_examples/source/int32/F08XPJE.java +++ /dev/null @@ -1,297 +0,0 @@ -import com.nag.routines.F06.F06UA; -import com.nag.routines.F06.F06BN; -import com.nag.routines.F06.ZGEMM; -import com.nag.routines.F08.ZGGESX; -import com.nag.routines.M01.M01DA; -import com.nag.routines.M01.M01ED; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X04.X04DB; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * F08XPJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class F08XPJE{ - - public static boolean chkfac = false; - public static boolean prcond = false; - public static boolean prmat = false; - public static int nb = 64; - - /* - * F08XPJ Example main program - */ - public static void main(String[] args){ - NAGComplex alph, bet; - double abnorm, anorm, bnorm, eps, normd, norme, tol; - int ifail, info = 0, lda, ldb, ldc, ldd, lde, ldvsl, ldvsr, liwork, lwork, n, sdim = 0; - boolean factor; - NAGComplex[] a, alpha, b, beta, c, d, e, vsl, vsr, work, dummy; - double[] rconde, rcondv, rwork; - int[] idum, iwork; - boolean[] bwork; - String[] clabs, rlabs; - - //Placeholders - idum = new int[1]; - rconde = new double[2]; - rcondv = new double[2]; - dummy = NAGComplex.createArray(1); - - System.out.println("F08XPJ Example Program Results"); - System.out.println(); - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - //Tell wrappers what time of complex type is going to be used - Routine.setComplex(new NAGComplex()); - - //n declared here for neater code but can be read in from data file - n = 4; - lda = n; - ldb = n; - ldc = n; - ldd = n; - lde = n; - ldvsl = n; - ldvsr = n; - - //Allocate - a = NAGComplex.createArray(lda * n); - alpha = NAGComplex.createArray(n); - b = NAGComplex.createArray(ldb * n); - beta = NAGComplex.createArray(n); - c = NAGComplex.createArray(ldc * n); - d = NAGComplex.createArray(ldd * n); - e = NAGComplex.createArray(lde * n); - vsl = NAGComplex.createArray(ldvsl * n); - vsr = NAGComplex.createArray(ldvsr * n); - rwork = new double[8 * n]; - bwork = new boolean[n]; - clabs = new String[1]; - clabs[0] = " "; - rlabs = new String[1]; - rlabs[0] = " "; - - //Use routine workspace query to get optimal workspace - lwork = -1; - liwork = -1; - //The NAG name equivalent of zggesx is f08xpf - selctg selctg1 = new selctg(); - ZGGESX zggesx = new ZGGESX("Vectors (left)", "Vectors (right)", "Sort", selctg1, "Both reciprocal condition numbers", - n, a, lda, b, ldb, sdim, alpha, beta, vsl, ldvsl, vsr, ldvsr, rconde, rcondv, dummy, lwork, - rwork, idum, liwork, bwork, info); - zggesx.eval(); - - //Make sure that there is a enough workspace for block size nb - lwork = Math.max((n * nb) + (n * n/2), (int) Math.rint(dummy[0].getRe())); - liwork = Math.max(n + 2, idum[0]); - work = NAGComplex.createArray(lwork); - iwork = new int[liwork]; - - //Read in matrices A and B - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); // skip header - line = reader.readLine(); //skip n (set manually for neater code) - String[] sVal; - - for(int i = 0; i < 2; i++){ - for(int j = 0; j < n; j++){ - line = reader.readLine(); - sVal = line.split("\\)"); - for(int k = 0; k < n; k++){ - if(i == 0){ - a[(k * n) + j] = parseComplex(sVal[k]); - } - else{ - b[(k * n) + j] = parseComplex(sVal[k]); - } - } - } - } - - } - catch(FileNotFoundException err){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException err){ - System.err.println("***FATAL: Can't read " + filename + "\n" + err.getMessage()); - } - - if(chkfac){ - for(int i = 0; i < a.length; i++){ - //Copy A and B into D and E respectively - d[i] = a[i]; - e[i] = b[i]; - } - } - - //Find the Forbenius norms of A and B - //The NAG name equivalent of the LAPACK auxiliary zlange is f06uaf - F06UA f06ua = new F06UA(); - anorm = f06ua.eval("Frobenius", n, n, a, lda, rwork); - bnorm = f06ua.eval("Frobenius", n, n, b, ldb, rwork); - - if(prmat){ - //Print matrices A and B - //ifail : behaviour on error exit - // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft - ifail = 0; - X04DB x04db = new X04DB("General", " ", n, n, a, lda, "Bracketed", "F8.4", "Matrix A", "Integer", - rlabs, "Integer", clabs, 80, 0, ifail); - x04db.eval(); - System.out.println(); - - ifail = 0; - x04db = new X04DB("General", " ", n, n, b, ldb, "Bracketed", "F8.4", "Matrix B", "Integer", - rlabs, "Integer", clabs, 80, 0, ifail); - x04db.eval(); - System.out.println(); - } - - factor = true; - //Find the generalized Schur form - //The NAG name equivalent of zggesx is f08xpf - zggesx = new ZGGESX("Vectors (left)", "Vectors (right)", "Sort", selctg1, "Both reciprocal condition numbers", - n, a, lda, b, ldb, sdim, alpha, beta, vsl, ldvsl, vsr, ldvsr, rconde, rcondv, work, lwork, - rwork, iwork, liwork, bwork, info); - zggesx.eval(); - - //update - sdim = zggesx.getSDIM(); - - if(info != 0 && info != (n + 2)){ - System.out.printf("Failure in ZGGESX. INFO = %d\n", info); - factor = false; - } - else if(chkfac){ - //Compute A - Q*S*Z^H from the factorization of (A,B) and store in matrix D - //The NAG name equivalent of zgemm is f06zaf - alph = new NAGComplex(1, 0); - bet = new NAGComplex(0, 0); - ZGEMM zgemm = new ZGEMM("N", "N", n, n, n, alph, vsl, ldvsl, a, lda, bet, c, ldc); - zgemm.eval(); - - alph = new NAGComplex(-1, 0); - bet = new NAGComplex(1, 0); - zgemm = new ZGEMM("N", "C", n, n, n, alph, c, ldc, vsr, ldvsr, bet, d, ldd); - zgemm.eval(); - - //Compute B - Q*T*Z^H from the factorization of (A,B) and store in matrix E - alph = new NAGComplex(1, 0); - bet = new NAGComplex(0, 0); - zgemm = new ZGEMM("N", "N", n, n, n, alph, vsl, ldvsl, b, ldb, bet, c, ldc); - zgemm.eval(); - - alph = new NAGComplex(-1, 0); - bet = new NAGComplex(1, 0); - zgemm = new ZGEMM("N", "C", n, n, n, alph, c, ldc, vsr, ldvsr, bet, e, lde); - zgemm.eval(); - - //Find norms of matrices D and E and warn if either is too large - f06ua = new F06UA("0", ldd, n, d, ldd, rwork); - normd = f06ua.eval(); - X02AJ x02aj = new X02AJ(); - if(normd > Math.pow(x02aj.eval(), 0.75)){ - System.out.println("Norm of A-(Q*S*Z^T) is much greater than 0."); - factor = false; - System.out.println("Schur factorization has failed"); - } - f06ua = new F06UA("0", lde, n, e, lde, rwork); - norme = f06ua.eval(); - if(norme > Math.pow(x02aj.eval(), 0.75)){ - System.out.println("Norm of B-(Q*T*Z^T is much greater than 0."); - factor = false; - } - } - - if(factor){ - //Print eigenvalue details - System.out.printf("Number of eigenvalues for which SELCTG is true = %d\n", sdim); - System.out.println("(dimension of deflating subspaces)"); - - System.out.println(); - //Print selected (finite) generalized eigenvalues - System.out.println("Selected generalized eigenvalues"); - - //Store absolute values of eigenvalues for ranking - for(int i = 0; i < n; i++){ - work[i] = alpha[i].divide(beta[i]); - rwork[i] = NAGComplex.abs(work[i]); - } - - //Rank eigenvalues - ifail = 0; - M01DA m01da = new M01DA(rwork, 1, sdim, "Descending", iwork, ifail); - m01da.eval(); - - //Sort eigevalues in work - M01ED m01ed = new M01ED(work, 1, sdim, iwork, ifail); - m01ed.eval(); - for(int i = 0; i < sdim; i++){ - System.out.printf(" %d\t(%.2f, %.2f)\n", i + 1, work[i].getRe(), work[i].getIm()); - } - - if(info == n + 2){ - System.out.println("*** note that rounding errors mean that leading eigenvalues in"); - System.out.println("the generalized Schur form no longer satisfy SELCTG = TRUE"); - System.out.println(); - } - - if(prcond){ - //Compute the machine precision and sqrt(anorm^2 + bnorm^2) - X02AJ x02aj = new X02AJ(); - eps = x02aj.eval(); - F06BN f06bn = new F06BN(anorm, bnorm); - abnorm = f06bn.eval(); - tol = eps * abnorm; - - //Print out the reciprocal condition numbers and error bound for selected eigenvalues - System.out.println("Reciprocal condition numbers for the average of the selected"); - System.out.println("eigenvalues and their asymptotic error bound"); - System.out.printf("rcond-left = %.1e, rcond-right = %.1e, error = %.1e\n", rcondv[0], rcondv[1], tol/rcondv[1]); - } - } - else{ - System.out.println("Schur factorization has failed"); - } - - } - - /** - * Converts String read in from data file to NAGComplex value. - * @param s - * Complex number string - * @return new NAGComplex representing s - */ - public static NAGComplex parseComplex(String s){ - s = s.trim(); - double re = Double.parseDouble(s.substring(1, 7)); - double im = Double.parseDouble(s.substring(8)); - return new NAGComplex(re, im); - } - - /** - * Class representing function selctg implementing ZGGESX_SELCTG to pass to ZGGESX. - */ - public static class selctg extends ZGGESX.Abstract_ZGGESX_SELCTG{ - public boolean eval(){ - return (NAGComplex.abs((NAGComplex)this.A) < (6 * NAGComplex.abs((NAGComplex)this.B))); - } - } - -} diff --git a/simple_examples/source/int32/G01ALJE.java b/simple_examples/source/int32/G01ALJE.java deleted file mode 100644 index 672a151..0000000 --- a/simple_examples/source/int32/G01ALJE.java +++ /dev/null @@ -1,55 +0,0 @@ -import com.nag.routines.G01.G01AL; - -/** - * G01ALJ Example Program Text - * @author willa - * @since 27.1.0.0 - */ -public class G01ALJE{ - - /** - * G01ALJ Example main program - */ - public static void main(String[] args){ - int ifail, n; - double[] x, res; - int[] iwrk; - - res = new double[5]; - - System.out.println("G01ALJ Example Program Results"); - System.out.println(); - - //Problem size - n = 12; - - //Allocate - x = new double[n]; - iwrk = new int[n]; - - //Data - x[0] = 12; - x[1] = 9; - x[2] = 2; - x[3] = 5; - x[4] = 6; - x[5] = 8; - x[6] = 2; - x[7] = 7; - x[8] = 3; - x[9] = 1; - x[10] = 11; - x[11] = 10; - - //Calculate summary statistics - ifail = 0; - G01AL g01al = new G01AL(n, x, iwrk, res, ifail); - g01al.eval(); - - System.out.printf("Maximum %.4f\n", res[4]); - System.out.printf("Upper Hinge (75%% quantile) %.4f\n", res[3]); - System.out.printf("Median (50%% quantile) %.4f\n", res[2]); - System.out.printf("Lower Hinge (25%% quantile) %.4f\n", res[1]); - System.out.printf("Minimum %.4f\n", res[0]); - } -} diff --git a/simple_examples/source/int32/G02AKJE.java b/simple_examples/source/int32/G02AKJE.java deleted file mode 100644 index 8ddaff2..0000000 --- a/simple_examples/source/int32/G02AKJE.java +++ /dev/null @@ -1,68 +0,0 @@ -import com.nag.routines.G02.G02AK; -import com.nag.routines.X04.X04CA; - -/** - * G02AK example program text. - * @author joed - * @since 27.0.0.0 - */ -public class G02AKJE { - - /** - * G02AKJ example main program. - */ - public static void main(String[] args) { - - G02AK g02ak = new G02AK(); - X04CA x04ca = new X04CA(); - double errtol, f, rankerr, ranktol; - int i, ifail, ldg, ldx, maxit, maxits, n, nsub, rank; - double[] g, x; - - System.out.println("G02AKJ Example Program Results\n"); - - // Problem size - n = 4; - ldg = n; - ldx = n; - - // Rank constraint - rank = 2; - - // Matrix G (column-major) - g = new double[]{ - 2.0, -1.0, 0.0, 0.0, - -1.0, 2.0, -1.0, 0.0, - 0.0, -1.0, 2.0, -1.0, - 0.0, 0.0, -1.0, 2.0 - }; - - // Use the defaults for errtol, ranktol, maxits, maxit - errtol = 0.0; - ranktol = 0.0; - maxits = 0; - maxit = 0; - - // Calculate rank constrained nearest correlation matrix - ifail = 0; - x = new double[ldx*n]; - f = 0.0; - rankerr = 0.0; - nsub = 0; - g02ak.eval(g, ldg, n, rank, errtol, ranktol, maxits, maxit, x, ldx, f, - rankerr, nsub, ifail); - nsub = g02ak.getNSUB(); - f = g02ak.getF(); - rankerr = g02ak.getRANKERR(); - - // Display results - ifail = 0; - x04ca.eval("General", " ", n, n, x, ldx, "NCM with rank constraint", ifail); - System.out.println(); - System.out.printf("Number of subproblems solved: %12d\n\n", nsub); - System.out.printf("Squared Frobenius norm of difference: %9.4f\n\n", f); - System.out.printf("Rank error: %35.4f\n", rankerr); - - } - -} diff --git a/simple_examples/source/int32/G02BJJE.java b/simple_examples/source/int32/G02BJJE.java deleted file mode 100644 index 3de843e..0000000 --- a/simple_examples/source/int32/G02BJJE.java +++ /dev/null @@ -1,303 +0,0 @@ -import com.nag.routines.G02.G02BJ; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * G02BJ example program text. - * @author ludovic - */ -public class G02BJJE { - - public static void main(String[] args) { - int i, ifail, ldcnt, ldr, ldssp, ldx, ncases = 0; //, m = 0, n = 0, nvars = 0; - double[] cnt, r, ssp, std, xbar;//, xmiss; - - if (args.length != 1) { - G02BJJE.usage(); - } - - String dataFile = args[0]; - DataHolder data = new DataHolder(); - readDataFile(dataFile, data); - System.out.println(" G02BJJ Example Program Results"); - System.out.println(); - - ldcnt = ldr = ldssp = data.nvars; - ldx = data.n; - cnt = new double[ldcnt * data.nvars]; - r = new double[ldr * data.nvars]; - ssp = new double[ldssp * data.nvars]; - std = new double[data.nvars]; - xbar = new double[data.nvars]; - - - //Display the data - - System.out.printf(" Number of variables (columns) = %5d\n", data.m); - System.out.printf(" Number of cases (rows) = %5d\n", data.n); - System.out.println(); - System.out.println(" Data matrix is:-"); - for (int ii = 0; ii < data.m; ++ii) { - System.out.printf(" %12d",ii+1); - } - System.out.println(); - for (int ii = 0; ii < data.n; ++ii) { - System.out.printf(" %3d ",ii+1); - for (int jj = 0; jj < data.m; ++jj) { - System.out.printf("%12.4f ",data.x[ii + jj * data.n]); - } - System.out.println(); - } - - ifail = 0; - G02BJ g02bj = new G02BJ(data.n, data.m, data.x, ldx, data.miss, data.xmiss, - data.nvars, data.kvar, xbar, std, ssp, ldssp, r, ldr, ncases, cnt, - ldcnt, ifail); - g02bj.eval(); - - data.n = g02bj.getN(); - data.m = g02bj.getM(); - data.x = g02bj.getX(); - ldx = g02bj.getLDX(); - data.miss = g02bj.getMISS(); - data.xmiss = g02bj.getXMISS(); - data.nvars = g02bj.getNVARS(); - data.kvar = g02bj.getKVAR(); - xbar = g02bj.getXBAR(); - std = g02bj.getSTD(); - ssp = g02bj.getSSP(); - ldssp = g02bj.getLDSSP(); - r = g02bj.getR(); - ldr = g02bj.getLDR(); - ncases = g02bj.getNCASES(); - cnt = g02bj.getCNT(); - ldcnt = g02bj.getLDCNT(); - ifail = g02bj.getIFAIL(); - - //Display results - System.out.println(); - System.out.println(" Variable\tMean\tSt.dev."); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %5d %11.4f %11.4f\n",data.kvar[ii], xbar[ii], std[ii]); - } - System.out.println(); - System.out.println(" Sums of squares and cross-products of deviations"); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %12d",data.kvar[ii]); - } - System.out.println(); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %3d",data.kvar[ii]); - for (int jj = 0; jj < data.nvars; ++jj) { - System.out.printf(" %12.4f",ssp[ii + ldssp * jj]); - } - System.out.println(); - } - System.out.println(); - System.out.println(" Correlation coefficients"); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %12d",data.kvar[ii]); - } - System.out.println(); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %3d",data.kvar[ii]); - for (int jj = 0; jj < data.nvars; ++jj) { - System.out.printf(" %12.4f",r[ii + ldr * jj]); - } - System.out.println(); - } - System.out.println(); - System.out.printf(" Minimum number of cases used for any pair of variables: %5d\n", ncases); - System.out.println(); - System.out.println(" Numbers used for each pair are:"); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %12d",data.kvar[ii]); - } - System.out.println(); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %3d",data.kvar[ii]); - for (int jj = 0; jj < data.nvars; ++jj) { - System.out.printf(" %12.4f",cnt[ii + ldcnt * jj]); - } - System.out.println(); - } - System.out.println(); - } - - private static void usage() { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - /** - G02BJF Example Program Data - 5 4 3 :: N, M, NVARS - 3.0 3.0 1.0 2.0 - 6.0 4.0 -1.0 4.0 - 9.0 0.0 5.0 9.0 - 12.0 2.0 0.0 0.0 - -1.0 5.0 4.0 12.0 :: End of X - 1 1 0 1 :: MISS - -1.0 0.0 0.0 0.0 :: XMISS - 4 1 2 :: KVAR - */ - private static void readDataFile(String filename, DataHolder data) { - try { - BufferedReader br = new BufferedReader(new FileReader(filename)); - String line = br.readLine(); // skip header - line = br.readLine(); - String[] sVal = line.split("\\s+"); - data.setN(Integer.parseInt(sVal[0])); - data.setM(Integer.parseInt(sVal[1])); - data.setNvars(Integer.parseInt(sVal[2])); - - data.x = new double[data.n * data.m]; - data.miss = new int[data.m]; - data.xmiss = new double[data.m]; - data.kvar = new int[data.nvars]; - - for (int i = 0; i < data.n; ++i) { - line = br.readLine().trim(); - sVal = line.split("\\s+"); - for (int j = 0; j < data.m; ++j) { - data.x[i + j * data.n] = Double.parseDouble(sVal[j]); - } - } - line = br.readLine().trim(); - sVal = line.split("\\s+"); - for (int j = 0; j < data.m; ++j) { - data.miss[j] = Integer.parseInt(sVal[j]); - } - line = br.readLine().trim(); - sVal = line.split("\\s+"); - for (int j = 0; j < data.m; ++j) { - data.xmiss[j] = Double.parseDouble(sVal[j]); - } - - line = br.readLine().trim(); - sVal = line.split("\\s+"); - for (int j = 0; j < data.nvars; ++j) { - data.kvar[j] = Integer.parseInt(sVal[j]); - } - } - catch (FileNotFoundException ex) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch (IOException ex) { - System.err.println("***FATAL: Can't Read " + filename + "\n" + ex.getMessage()); - System.exit(-3); - } - - } - - private static class DataHolder { - private int n; - private int m; - private int nvars; - private double[] x; - private int[] miss; - private double[] xmiss; - private int[] kvar; - - /** - * @return the n - */ - public int getN() { - return n; - } - - /** - * @param n the n to set - */ - public void setN(int n) { - this.n = n; - } - - /** - * @return the m - */ - public int getM() { - return m; - } - - /** - * @param m the m to set - */ - public void setM(int m) { - this.m = m; - } - - /** - * @return the nvars - */ - public int getNvars() { - return nvars; - } - - /** - * @param nvars the nvars to set - */ - public void setNvars(int nvars) { - this.nvars = nvars; - } - - /** - * @return the x - */ - public double[] getX() { - return x; - } - - /** - * @param x the x to set - */ - public void setX(double[] x) { - this.x = x; - } - - /** - * @return the miss - */ - public int[] getMiss() { - return miss; - } - - /** - * @param miss the miss to set - */ - public void setMiss(int[] miss) { - this.miss = miss; - } - - /** - * @return the xmiss - */ - public double[] getXmiss() { - return xmiss; - } - - /** - * @param xmiss the xmiss to set - */ - public void setXmiss(double[] xmiss) { - this.xmiss = xmiss; - } - - /** - * @return the kvar - */ - public int[] getKvar() { - return kvar; - } - - /** - * @param kvar the kvar to set - */ - public void setKvar(int[] kvar) { - this.kvar = kvar; - } - } -} diff --git a/simple_examples/source/int32/G02BRJE.java b/simple_examples/source/int32/G02BRJE.java deleted file mode 100644 index 084f478..0000000 --- a/simple_examples/source/int32/G02BRJE.java +++ /dev/null @@ -1,134 +0,0 @@ -import com.nag.routines.G02.G02BR; - -/** - * G02BRJ Example Program Text - * @author willa - * @since 27.1.0.0 - */ -public class G02BRJE{ - - /** - * G02BRJ Example main program - */ - public static void main(String[] args){ - int ifail, itype, ldrr, ldx, m, n, ncases = 0; //placeholder - double[] rr, work1, work2, x, xmiss; - int[] incase, kworka, kworkb, kworkc, miss; - - System.out.println("G02BRJ Example Program Results"); - System.out.println(); - - //Problem size - n = 9; - m = 3; - itype = 0; - - ldrr = m; - ldx = n; - - //Allocate - rr = new double[ldrr * m]; - work1 = new double[n]; - work2 = new double[n]; - x = new double[ldx * m]; - xmiss = new double[m]; - incase = new int[n]; - kworka = new int[n]; - kworkb = new int[n]; - kworkc = new int[n]; - miss = new int[m]; - - //Data - //X = (1.70, 1.00, 0.50) - // (2.80, 4.00, 3.00) - // (0.60, 6.00, 2.50) - // (1.80, 9.00, 6.00) - // (0.99, 4.00, 2.50) - // (1.40, 2.00, 5.50) - // (1.80, 9.00, 7.50) - // (2.50, 7.00, 0.00) - // (0.99, 5.00, 3.00) - x[0] = 1.7; - x[1] = 2.8; - x[2] = 0.6; - x[3] = 1.8; - x[4] = 0.99; - x[5] = 1.4; - x[6] = 1.8; - x[7] = 2.5; - x[8] = 0.99; - x[9] = 1; - x[10] = 4; - x[11] = 6; - x[12] = 9; - x[13] = 4; - x[14] = 2; - x[15] = 9; - x[16] = 7; - x[17] = 5; - x[18] = 0.5; - x[19] = 3; - x[20] = 2.5; - x[21] = 6; - x[22] = 2.5; - x[23] = 5.5; - x[24] = 7.5; - x[25] = 0; - x[26] = 3; - - //Missing value flags - miss[0] = 1; - miss[1] = 0; - miss[2] = 1; - xmiss[0] = 0.99; - xmiss[1] = 0; - xmiss[2] = 0; - - //Display data - System.out.printf("Number of variables (columns) = %d\n", m); - System.out.printf("Number of case (rows) = %d\n", n); - System.out.println(); - System.out.println("Data matrix is:-\n"); - System.out.println(); - for(int i = 0; i < m; i++){ - System.out.printf("\t %d", i + 1); - } - System.out.println(); - for(int i = 0; i < n; i++){ - System.out.printf(" %d\t", i + 1); - for(int j = 0; j < m; j++){ - System.out.printf("%.4f\t", x[(j * n) + i]); - } - System.out.println(); - } - System.out.println(); - - //Calculate correlation coefficients - ifail = 0; - G02BR g02br = new G02BR(n, m, x, ldx, miss, xmiss, itype, rr, ldrr, ncases, incase, kworka, kworkb, kworkc, - work1, work2, ifail); - g02br.eval(); - - //Update - ncases = g02br.getNCASES(); - - //Display results - System.out.println("Matrix of rank correlation coefficients:"); - System.out.println("Upper triangle -- Spearman's"); - System.out.println("Lower triangle -- Kendall's tau"); - System.out.println(); - for(int i = 0; i < m; i++){ - System.out.printf("\t %d", i + 1); - } - System.out.println(); - for(int i = 0; i < m; i++){ - System.out.printf(" %d\t", i + 1); - for(int j = 0; j < m; j++){ - System.out.printf("%.4f\t", rr[(j * m) + i]); - } - System.out.println(); - } - System.out.println(); - System.out.printf("Number of cases actually used: %d\n", ncases); - } -} diff --git a/simple_examples/source/int32/G02DAJE.java b/simple_examples/source/int32/G02DAJE.java deleted file mode 100644 index c390197..0000000 --- a/simple_examples/source/int32/G02DAJE.java +++ /dev/null @@ -1,187 +0,0 @@ -import com.nag.routines.G02.G02BU; -import com.nag.routines.G02.G02DA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * G02DAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class G02DAJE{ - - /** - * G02DAJ Example main program - */ - public static void main(String[] args){ - double aic, arsq, en, mult, rsq, rss = 0, sw = 0, tol; - int idf = 0, ifail, ip, irank = 0, ldq, ldx, lwt, m, n; - boolean svd = false; - String mean, weight; - double[] b, cov, h, p, q, res, se, wk, wt, x, y, c, wmean; - int[] isx; - - System.out.println("G02DAJ Example Program Results"); - System.out.println(); - - c = new double[1]; - wmean = new double[1]; - - //Problem size (can be read in from data file - n = 12; - m = 4; - weight = "U"; - mean = "M"; - - if(weight.toLowerCase().equals("w")){ - lwt = n; - } - else{ - lwt = 0; - } - ldx = n; - - x = new double[ldx * m]; - y = new double[n]; - wt = new double[n]; - isx = new int[m]; - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - line = reader.readLine(); //skip n, m, weight, mean - - //Read in data - String[] sVal; - for(int i = 0; i < n; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int j = 0; j < m; j++){ - x[(j * n) + i] = Double.parseDouble(sVal[j]); - } - y[i] = Double.parseDouble(sVal[m]); - if(lwt > 0){ - wt[i] = Double.parseDouble(sVal[m + 1]); - } - } - - //Read in variable inclusion flags - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int i = 0; i < m; i++){ - isx[i] = Integer.parseInt(sVal[i]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - System.exit(-2); - } - - //Calcluate IP - ip = 0; - for(int i = 0; i < m; i++){ - if(isx[i] == 1){ - ip++; - } - } - if(mean.toLowerCase().equals("m")){ - ip = ip + 1; - } - - //Allocate - ldq = n; - b = new double[ip]; - cov = new double[((ip * ip) + ip)/2]; - h = new double[n]; - p = new double[ip * ip * (ip + 2)]; - q = new double[ldq * (ip + 1)]; - res = new double[n]; - se = new double[ip]; - wk = new double[ip * ip + (5 * (ip - 1))]; - - //Use suggested value for tolerance - tol = 0.000001; - - //fit general linear regression model - ifail = -1; - G02DA g02da = new G02DA(mean, weight, n, x, ldx, m, isx, ip, y, wt, rss, idf, b, se, cov, res, h, q, - ldq, svd, irank, p, tol, wk, ifail); - g02da.eval(); - ifail = g02da.getIFAIL(); - if(ifail != 0){ - if(ifail != 5){ - System.exit(-3); - } - } - - //Calculate (weighted) total sums of squares, adjusted for mean if required - //If in G02DAF, an intercept is added to the regression by including a comlumn of - //1's in X, rather than by using the MEAN argument then MEAN = "M" should be used - //in this call to G02BUF - ifail = 0; - G02BU g02bu = new G02BU(mean, weight, n, 1, y, n, wt, sw, wmean, c, ifail); - g02bu.eval(); - - idf = g02da.getIDF(); - irank = g02da.getIRANK(); - //Get effective number of observations (=N if there are no zero weights) - en = (double) idf + irank; - - rss = g02da.getRSS(); - //Calculate R-squared, corrected R-Squared and AIC - rsq = 1 - rss/c[0]; - if(mean.toLowerCase().equals("m")){ - mult = (en - 1) / (en - irank); - } - else{ - mult = en / (en - irank); - } - arsq = 1 - mult * (1 - rsq); - aic = en * Math.log(rss/en) + (2 * irank); - - svd = g02da.getSVD(); - //Disply results - if(svd){ - System.out.printf("Model not of full rank, rank = %d", irank); - System.out.println(); - } - System.out.printf("Residual sum of squares = %.4e\n", rss); - System.out.printf("Degrees of freedom = %d\n", idf); - System.out.printf("R-squared = %.4e\n", rsq); - System.out.printf("Adjusted R-squared = %.4e\n", arsq); - System.out.printf("AIC = %.4e\n", aic); - System.out.println(); - System.out.printf("Variable\tParameter estimate\tStandard error\n"); - System.out.println(); - if(ifail == 0){ - for(int i = 0; i < ip; i++){ - System.out.printf(" %d\t\t %.4e\t\t %.4e\n", (i + 1), b[i], se[i]); - } - } - else{ - for(int i = 0; i < ip; i++){ - System.out.printf(" %d\t\t %.4e\n", (i + 1), b[i]); - } - } - System.out.println(); - System.out.printf(" Obs\t\t Residuals\t\t H\n"); - System.out.println(); - for(int i = 0; i < n; i++){ - System.out.printf(" %d\t\t %.4e\t\t %.4e\n", (i + 1), res[i], h[i]); - } - - } -} diff --git a/simple_examples/source/int32/G02EEJE.java b/simple_examples/source/int32/G02EEJE.java deleted file mode 100644 index 5856fde..0000000 --- a/simple_examples/source/int32/G02EEJE.java +++ /dev/null @@ -1,184 +0,0 @@ -import com.nag.routines.G02.G02EE; -import java.io.*; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * G02EE example program text. - */ -public class G02EEJE { - - public static void main(String[] args) throws Exception { - int vnlen = 3; - double chrss, f, fin, rss; - rss = chrss = f = Double.NaN; - int idf = 0, ifail = 0, ifr = 0, istep = 0, ldq, ldx, lwt, m, maxip, n, nterm = 0; - boolean addvar = false; - String mean, weight, newvar; - newvar = " "; - double[] exss, p, q, wk, wt, x, y; - int[] isx; - String[] free, model, vname; - - System.out.println(" G02EEJ Example Program Results\n"); - - BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); - - String line = dataIn.readLine(); - - String[] data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); - - n = Integer.parseInt(data[0]); - m = Integer.parseInt(data[1]); - mean = data[2].substring(1,2); - weight = data[3].substring(1,2); - fin = Double.parseDouble(data[4]); - - if (weight.equalsIgnoreCase("W")) { - lwt = n; - } - else { - lwt = 0; - } - ldx = n; - - x = new double[ldx*m]; - y = new double[n]; - wt = new double[lwt]; - isx = new int[m]; - vname = new String[m]; - - for (int i = 0; i < vname.length;++i) { - StringBuilder tmp = new StringBuilder(); - for (int j = 0; j < vnlen; ++j) { - tmp.append(" "); - } - vname[i] = tmp.toString(); - } - - if (lwt > 0) { - for (int i = 0; i < n; ++i) { - data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); - for (int j = 0; j < m; ++j) { - x[i+j*ldx] = Double.parseDouble(data[j]); - } - y[i] = Double.parseDouble(data[m]); - wt[i] = Double.parseDouble(data[m+1]); - } - } - else { - for (int i = 0; i < n; ++i) { - data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); - for (int j = 0; j < m; ++j) { - x[i+j*ldx] = Double.parseDouble(data[j]); - } - y[i] = Double.parseDouble(data[m]); - } - } - data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); - for (int i = 0; i < m; ++i) { - isx[i] = Integer.parseInt(data[i]); - } - - data = dataIn.readLine().trim().split("::")[0].trim() - .replaceAll("^'","").replaceAll("'$","").split("'\\s+'"); - for (int i = 0; i < m; ++i) { - vname[i] = data[i].substring(0,3); - } - - dataIn.close(); - - maxip = 0; - for (int i = 0; i < m; ++i) { - if (isx[i] > 0) { - ++maxip; - } - } - - if (mean.equalsIgnoreCase("M")) { - maxip += 1; - } - - ldq = n; - model = new String[maxip]; - free = new String[maxip]; - exss = new double[maxip]; - q = new double[ldq*(maxip+2)]; - p = new double[maxip+1]; - wk = new double[2*maxip]; - - for (int i = 0; i < model.length; ++i) { - StringBuilder tmp = new StringBuilder(); - for (int j = 0; j < vnlen; ++j) { - tmp.append(" "); - } - model[i] = tmp.toString(); - } - for (int i = 0; i < free.length; ++i) { - StringBuilder tmp = new StringBuilder(); - for (int j = 0; j < vnlen; ++j) { - tmp.append(" "); - } - free[i] = tmp.toString(); - } - istep = 0; - ifail = -1; - - - G02EE g02ee = new G02EE(istep,mean,weight,n,m,x,ldx,vname,isx,maxip,y,wt,fin, - addvar,newvar,chrss,f,model,nterm,rss,idf,ifr,free,exss,q,ldq,p, - wk,ifail); - for (int i = 0; i < m; ++i) { - g02ee.setIFAIL(0); - g02ee.eval(); - - System.out.printf(" Step %2d\n",g02ee.getISTEP()); - if (!g02ee.getADDVAR()) { - System.out.printf(" No further variables added maximum F =%7.2f\n",g02ee.getF()); - System.out.print(" Free variables: "); - for (int j = 0; j < g02ee.getIFR(); ++j) { - System.out.print(" "+free[j]); - } - System.out.println(); - System.out.println(" Change in residual sums of squares for free variables:"); - for (int j = 0; j < g02ee.getIFR(); ++j) { - System.out.printf(" %9.4f",g02ee.getEXSS()[j]); - } - System.out.println(); - break; - } - else { - System.out.println(" Added variable is "+g02ee.getNEWVAR()); - System.out.printf(" Change in residual sum of squares = %12.4E\n",g02ee.getCHRSS()); - System.out.printf(" F Statistic = %7.2f\n",g02ee.getF()); - System.out.println(); - System.out.print(" Variables in model:"); - for (int j = 0; j < g02ee.getNTERM(); ++j) { - System.out.print(" "+g02ee.getMODEL()[j]); - } - System.out.println("\n"); - System.out.printf(" Residual sum of squares = %13.4E\n",g02ee.getRSS()); - System.out.printf(" Degrees of freedom = %2d\n",g02ee.getIDF()); - System.out.println(); - if (g02ee.getIFR() == 0) { - System.out.println(" No free variables remaining"); - break; - } - System.out.print(" Free variables: "); - for (int j = 0; j < g02ee.getIFR(); ++j) { - System.out.print(" "+free[j]); - } - System.out.println(); - System.out.println(" Change in residual sums of squares for free variables:"); - for (int j = 0; j < g02ee.getIFR(); ++j) { - System.out.printf(" %9.4f",g02ee.getEXSS()[j]); - } - System.out.println(); - - } - - } - - } - -} diff --git a/simple_examples/source/int32/G02MAJE.java b/simple_examples/source/int32/G02MAJE.java deleted file mode 100644 index 4a8bfcb..0000000 --- a/simple_examples/source/int32/G02MAJE.java +++ /dev/null @@ -1,130 +0,0 @@ -import com.nag.routines.G02.G02MA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.util.Arrays; - -/** - * G02MAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class G02MAJE{ - - /** - * G02MAJ example main program - */ - public static void main(String[] args){ - int ifail, ip, ldb, ldd, lisx, lropt, m, mnstep, mtype, n, nstep = 0, pred, prey; - double[] b, d, fitsum, ropt, y; - int[] isx; - - isx = new int[0]; //placeholder - - System.out.println("G02MAJ Example Program Results"); - System.out.println(); - - //data (Could also read in from data file) - //Problem size - n = 20; - m = 6; - - //Model Specification - mtype = 1; - pred = 3; - prey = 1; - mnstep = 6; - lisx = 0; - - //Variable inclusion flags aren't needed in this example - ip = m; - - //Optional arguments (using defaults) - lropt = 0; - ropt = new double[lropt]; - - //D and Y - ldd = n; - y = new double[n]; - d = new double[ldd * m]; - - //Read in D and Y from data file (too large to write out) - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - line = reader.readLine(); //skip N, M - line = reader.readLine(); //skip mtype, pred, prey, mnstep, lisx - - String sVal[]; - - for(int i = 0; i < n; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int j = 0; j < m; j++){ - d[(j * n) + i] = Double.parseDouble(sVal[j]); - } - y[i] = Double.parseDouble(sVal[m]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - System.exit(-2); - } - - //Allocate output arrays - ldb = ip; - b = new double[ldb * (mnstep + 2)]; - fitsum = new double[6 * (mnstep + 1)]; - - //Call the model fitting routine - ifail = -1; - G02MA g02ma = new G02MA(mtype, pred, prey, n, m, d, ldd, isx, lisx, y, mnstep, ip, nstep, b, ldb, - fitsum, ropt, lropt, ifail); - g02ma.eval(); - ifail = g02ma.getIFAIL(); - if(ifail != 0){ - if(ifail != 112 && ifail != 161 && ifail != 162 && ifail !=163){ - //ifail = 112, 161, 162, 163 are warnings, so no need to terminate - System.exit(-2); - } - } - - //update - nstep = g02ma.getNSTEP(); - - //Display the parameter estimates - System.out.printf(" Step\t\t\tParameter Estimate\n"); - System.out.println("------------------------------------------------------"); - for(int i = 0; i < nstep; i++){ - System.out.printf(" %d", (i + 1)); - for(int j = 0; j < ip; j++){ - System.out.printf("\t%.3f", b[j + (i * nstep)]); - } - System.out.printf("\n"); - } - System.out.println(); - System.out.printf("alpha: %.3f\n", fitsum[nstep * 6]); - System.out.println(); - System.out.printf(" Step Sum\tRSS\t df\t Cp\t Ck\tStep Size\n"); - System.out.println("---------------------------------------------------------"); - for(int k = 0; k < nstep; k++){ - System.out.printf(" %d %.3f\t%.3f %d\t %.3f\t %.3f %.3f\n", (k + 1), fitsum[k * nstep], fitsum[(k * nstep) + 1], - (int)(Math.floor(fitsum[(k + nstep) + 2] + 0.5)), fitsum[(k * nstep) + 3], - fitsum[(k * nstep) + 4], fitsum[(k * nstep) + 5]); - } - System.out.println(); - System.out.printf("sigma^2: %.3f\n", fitsum[(nstep * 6) + 4]); - } -} diff --git a/simple_examples/source/int32/G03GAJE.java b/simple_examples/source/int32/G03GAJE.java deleted file mode 100644 index ba20592..0000000 --- a/simple_examples/source/int32/G03GAJE.java +++ /dev/null @@ -1,355 +0,0 @@ -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.util.Arrays; -import com.nag.routines.G03.G03GA; -import com.nag.routines.X04.X04CA; -import com.nag.routines.Routine; - -/** - * G03GAJ example program text. - * @author willa - * @since 27.0.0.0 - */ -public class G03GAJE{ - - /** - * G03GAJ example main program. - */ - public static void main(String[] args){ - int i, ldx, lprob, riter, lds, sds, ifail = 0; - double[] w, g, s, f; - double tol, loglik = 0; - - if(args.length != 1){ - G03GAJE.usage(); - } - - // Data file name as argument - String filename = args[0]; - // DataHolder object to hold data read in from data file - DataHolder data = new DataHolder(); - - readDataFile(filename, data); - - System.out.println(" G03GAJ Example Program Results"); - System.out.println(); - - // Leading dimensions - ldx = data.n; - lprob = data.n; - - - switch(data.sopt){ - case 1: - s = new double[data.nvar * data.nvar * data.ng]; - lds = data.nvar; - sds = data.nvar; - break; - case 2: - s = new double[data.nvar * data.nvar * 1]; - lds = data.nvar; - sds = data.nvar; - break; - case 3: - s = new double[data.nvar * data.ng * 1]; - lds = data.nvar; - sds = data.ng; - break; - case 4: - s = new double[data.nvar * 1 * 1]; - lds = data.nvar; - sds = 1; - break; - default: - s = new double[1 * 1 * 1]; - lds = 1; - sds = 1; - break; - } - - // Allocate array size - g = new double[data.nvar * data.ng]; - w = new double[data.ng]; - f = new double[data.n * data.ng]; - tol = 0.0; - riter = 5; - - ifail = 0; - - // Create g03ga object with variables from data file - G03GA g03ga = new G03GA(data.n, data.m, data.x, ldx, data.isx, data.nvar, data.ng, data.popt, data.prob, - lprob, data.niter, riter, w, g, data.sopt, s, lds, sds, f, tol, loglik, ifail); - - // Run routine - g03ga.eval(); - - // Update variables - data.n = g03ga.getN(); - data.m = g03ga.getM(); - data.x = g03ga.getX(); - ldx = g03ga.getLDX(); - data.isx = g03ga.getISX(); - data.nvar = g03ga.getNVAR(); - data.ng = g03ga.getNG(); - data.popt = g03ga.getPOPT(); - data.prob = g03ga.getPROB(); - lprob = g03ga.getLPROB(); - data.niter = g03ga.getNITER(); - riter = g03ga.getRITER(); - w = g03ga.getW(); - g = g03ga.getG(); - data.sopt = g03ga.getSOPT(); - s = g03ga.getS(); - lds = g03ga.getLDS(); - sds = g03ga.getSDS(); - f = g03ga.getF(); - tol = g03ga.getTOL(); - loglik = g03ga.getLOGLIK(); - ifail = g03ga.getIFAIL(); - - // Results - X04CA x04ca = new X04CA(); - - System.out.println(); - ifail = 0; - x04ca.eval("g", "n", 1, data.ng, w, 1, "Mixing proportions", ifail); - - System.out.println(); - ifail = 0; - x04ca.eval("g", "n", data.nvar, data.ng, g, data.nvar, "Group means", ifail); - - System.out.println(); - switch(data.sopt){ - case 1: - for(i = 0; i < data.ng; i++){ - ifail = 0; - // Wrapper returns a 1-dimensional array so X04CA has to be called like this to mimic - // calling X04CA along the 3rd dimension - x04ca.eval("g", "n", data.nvar, data.nvar, - Arrays.copyOfRange(s, (i * (data.nvar * data.nvar)), (data.nvar * data.nvar * data.ng)), - lds, "Variance-cavariance matrix", ifail); - } - break; - case 2: - ifail = 0; - x04ca.eval("g", "n", data.nvar, data.nvar, s, lds, "Pooled Variance-covariance matrix", ifail); - break; - case 3: - ifail = 0; - x04ca.eval("g", "n", data.nvar, data.ng, s, lds, "Groupwise Variance", ifail); - break; - case 4: - ifail = 0; - x04ca.eval("g", "n", data.nvar, 1, s, lds, "Pooled Variance", ifail); - break; - case 5: - ifail = 0; - x04ca.eval("g", "n", 1, 1, s, lds, "Overall Variance", ifail); - break; - } - - System.out.println(); - ifail = 0; - x04ca.eval("g", "n", data.n, data.ng, f, data.n, "Densities", ifail); - - System.out.println(); - ifail = 0; - x04ca.eval("g", "n", data.n, data.ng, data.prob, data.n, "Membership probabilities", ifail); - - System.out.println(); - System.out.println("No. iterations: " + data.niter); - System.out.printf("Log-likelihood: %.04f\n", loglik); - } - - /** - * Read data from given filename and puts into DataHolder object - * @param filename - * Name of data file (absolute or relative path) - * @param data - * DataHolder object to store data from data file - */ - public static void readDataFile(String filename, DataHolder data){ - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - // Problem size - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - data.setN(Integer.parseInt(sVal[0])); - data.setM(Integer.parseInt(sVal[1])); - data.setNvar(Integer.parseInt(sVal[2])); - - // Number of groups - line = reader.readLine(); - sVal = line.split("\\s+"); - data.setNg(Integer.parseInt(sVal[0])); - - // Scaling option - line = reader.readLine(); - sVal = line.split("\\s+"); - data.setSopt(Integer.parseInt(sVal[0])); - - // Initial probabilities option - line = reader.readLine(); - sVal = line.split("\\s+"); - data.setPopt(Integer.parseInt(sVal[0])); - - // Maximum number of iterations - line = reader.readLine(); - sVal = line.split("\\s+"); - data.setNiter(Integer.parseInt(sVal[0])); - - // - data.x = new double[data.m * data.n]; - data.prob = new double[data.ng * data.n]; - data.isx = new int[data.m]; - - //Data matrix X - for(int i = 0; i < data.n; ++i){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int j = 0; j < data.m; ++j){ - data.x[i + (j * data.n)] = Double.parseDouble(sVal[j]); - } - } - - //Included variables - if(data.nvar != data.m){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int i = 0; i < data.m; ++i){ - data.isx[i] = Integer.parseInt(sVal[i]); - } - } - - - //Optionally read initial probabilities of group memebership (included in example data) - if(data.popt == 2){ - for(int i = 0; i < data.n; ++i){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int j = 0; j < data.ng; ++j){ - data.prob[i + (j * data.n)] = Double.parseDouble(sVal[j]); - } - } - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - - } - - /** - * Stores data from data file for later reference - */ - private static class DataHolder{ - private int n; - private int m; - private int nvar; - private int ng; - private int sopt; - private int popt; - private int niter; - private int isx[]; - private double x[]; - private double prob[]; - - public void setN(int n){ - this.n = n; - } - - public int getN(){ - return n; - } - - public void setM(int m){ - this.m = m; - } - - public int getM(){ - return m; - } - - public void setNvar(int nvar){ - this.nvar = nvar; - } - - public int getNvar(){ - return nvar; - } - - public void setNg(int ng){ - this.ng = ng; - } - - public int getNg(){ - return ng; - } - - public void setSopt(int sopt){ - this.sopt = sopt; - } - - public int getSopt(){ - return sopt; - } - - public void setPopt(int popt){ - this.popt = popt; - } - - public int getPopt(){ - return popt; - } - - public void setNiter(int niter){ - this.niter = niter; - } - - public int getNiter(){ - return niter; - } - - public void setIsx(int[] isx){ - this.isx = isx; - } - - public int[] getIsx(){ - return isx; - } - - public void setX(double[] x){ - this.x = x; - } - - public double[] getX(){ - return x; - } - - public void setProb(double[] prob){ - this.prob = prob; - } - - public double[] getProb(){ - return prob; - } - } - - /** - * No arguments supplied when example runs - */ - private static void usage() { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} - diff --git a/simple_examples/source/int32/G05KFJE.java b/simple_examples/source/int32/G05KFJE.java deleted file mode 100644 index 18ce755..0000000 --- a/simple_examples/source/int32/G05KFJE.java +++ /dev/null @@ -1,105 +0,0 @@ -import com.nag.routines.G05.G05KF; -import com.nag.routines.G05.G05SA; -import com.nag.routines.Routine; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * G05KFJ example program text. - * @author willa - * @since 27.0.0.0 - */ -public class G05KFJE{ - - /** - * G05KFJ example main program. - */ - public static void main(String[] args){ - //genid, subid only initilised so they can be set in try{} without java throwing error - int lseed = 1, nin = 5, nout = 6, genid = 0, n = 0, subid = 0; - int ifail, lstate; - int[] seed, state; - double x[]; - - System.out.println("G05KFJ Example Program Results"); - System.out.println(); - - //No file input given - if(args.length != 1){ - G05KFJE.usage(); - } - - seed = new int[lseed]; - - //Read in data from data fiel - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //Read in the base generator information and seed - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - genid = Integer.parseInt(sVal[0]); - subid = Integer.parseInt(sVal[1]); - seed[0] = Integer.parseInt(sVal[2]); - - //Read in sample size - line = reader.readLine(); - sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[0]); - - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - lstate = 0; - ifail = 0; - state = new int[lstate]; - - //Initial call to get size of STATE array - G05KF g05kf = new G05KF(genid, subid, seed, lseed, state, lstate, ifail); - g05kf.eval(); - - //Update local variables - lstate = g05kf.getLSTATE(); - state = g05kf.getSTATE(); - - //Reallocate STATE - state = new int[lstate]; - - //Update object variables - g05kf.setSTATE(state); - g05kf.eval(); - - //Update local variables - state = g05kf.getSTATE(); - - x = new double[n]; - - //Generate the variates - ifail = 0; - G05SA g05sa = new G05SA(n, state, x, ifail); - g05sa.eval(); - - //Display the variates - for(int i = 0; i < x.length; i++){ - System.out.printf("%.4f\n", x[i]); - } - } - - /** - * Print usage information. - */ - private static void usage(){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} diff --git a/simple_examples/source/int32/G13AWJE.java b/simple_examples/source/int32/G13AWJE.java deleted file mode 100644 index 9e829bd..0000000 --- a/simple_examples/source/int32/G13AWJE.java +++ /dev/null @@ -1,31 +0,0 @@ -import com.nag.routines.G01.G01EW; -import com.nag.routines.G13.G13AW; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * G13AW example program text. - */ -public class G13AWJE { - - public static void main(String[] args) { - - int n = 30, type = 1, p = 1, ifail = 1, method = 1, nsamp = 0; - double[] y = {-217.,-177.,-166.,-136.,-110.,-95.,-64.,-37.,-14.,-25.,-51., - -62.,-73.,-88.,-113.,-120.,-83.,-33.,-19.,21.,17.,44.,44.,78., - 88.,122.,126.,114.,85.,64}; - int[] state = new int[1]; - G13AW g13aw = new G13AW(type, p, n, y, ifail); - System.out.println(" G13AWJ Example Program Results\n"); - double ts = g13aw.eval(); - G01EW g01ew = new G01EW(method,type,n,ts,nsamp,state,ifail); - double pvalue = g01ew.eval(); - ifail = g01ew.getIFAIL(); - if (ifail == 0 || ifail == 201) { - System.out.printf("Dickey-Fuller test statistic = %6.3f\n", ts); - System.out.printf("associated p-value = %6.3f\n", pvalue); - } - - } - -} diff --git a/simple_examples/source/int32/G13MEJE.java b/simple_examples/source/int32/G13MEJE.java deleted file mode 100644 index a768a46..0000000 --- a/simple_examples/source/int32/G13MEJE.java +++ /dev/null @@ -1,160 +0,0 @@ -import com.nag.routines.G13.G13ME; - -/** - * G13MEJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class G13MEJE{ - - /** - * G13MEJ main program - */ - public static void main(String[] args){ - double tau; - int ifail, lrcomm, m, nb, pn; - double[] iema, rcomm, sinit, t; - int[] inter, nbVal; - - inter = new int[2]; - - System.out.println("G13MEJ Example Program Results"); - System.out.println(); - - //data (can read in from data file) - //Number of iteration required - m = 2; - - //Decay parameter and interpolation method - tau = 2; - inter[0] = 3; - inter[1] = 2; - - //Initial values - sinit = new double[m + 2]; - sinit[0] = 5; - sinit[1] = 0.5; - sinit[2] = 0.5; - sinit[3] = 0.5; - - //Array of NB values in order - nbVal = new int[3]; - nbVal[0] = 5; - nbVal[1] = 10; - nbVal[2] = 15; - - //First block - double[] t1 = new double[nbVal[0]]; - double[] iema1 = new double[nbVal[0]]; - t1[0] = 7.5; - t1[1] = 8.2; - t1[2] = 18.1; - t1[3] = 22.8; - t1[4] = 25.8; - iema1[0] = 0.6; - iema1[1] = 0.6; - iema1[2] = 0.8; - iema1[3] = 0.1; - iema1[4] = 0.2; - - //Second block - double[] t2 = new double[nbVal[1]]; - double[] iema2 = new double[nbVal[1]]; - t2[0] = 26.8; - t2[1] = 31.1; - t2[2] = 38.4; - t2[3] = 45.9; - t2[4] = 48.2; - t2[5] = 48.9; - t2[6] = 57.9; - t2[7] = 58.5; - t2[8] = 63.9; - t2[9] = 65.2; - iema2[0] = 0.2; - iema2[1] = 0.5; - iema2[2] = 0.7; - iema2[3] = 0.1; - iema2[4] = 0.4; - iema2[5] = 0.7; - iema2[6] = 0.8; - iema2[7] = 0.3; - iema2[8] = 0.2; - iema2[9] = 0.5; - - //Third block - double[] t3 = new double[nbVal[2]]; - double[] iema3 = new double[nbVal[2]]; - t3[0] = 66.6; - t3[1] = 67.4; - t3[2] = 69.3; - t3[3] = 69.9; - t3[4] = 73.0; - t3[5] = 75.6; - t3[6] = 77.0; - t3[7] = 84.7; - t3[8] = 86.8; - t3[9] = 88.0; - t3[10] = 88.5; - t3[11] = 91.0; - t3[12] = 93.0; - t3[13] = 93.7; - t3[14] = 94.0; - iema3[0] = 0.2; - iema3[1] = 0.3; - iema3[2] = 0.8; - iema3[3] = 0.6; - iema3[4] = 0.1; - iema3[5] = 0.7; - iema3[6] = 0.9; - iema3[7] = 0.6; - iema3[8] = 0.3; - iema3[9] = 0.1; - iema3[10] = 0.1; - iema3[11] = 0.4; - iema3[12] = 1.0; - iema3[13] = 1.0; - iema3[14] = 0.1; - - //Print some titles - System.out.printf("\t\t\tIterated\n"); - System.out.println("\t\tTime\t EMA\n"); - System.out.println("--------------------------------"); - - lrcomm = 20 + m; - rcomm = new double[lrcomm]; - - pn = 0; - - //Loop through 3 blocks - for(int i = 0; i < nbVal.length; i++){ - //nb for given block - nb = nbVal[i]; - - //Use data for current block - if(i == 0){ - t = t1; - iema = iema1; - } - else if(i == 1){ - t = t2; - iema = iema2; - } - else{ - t = t3; - iema = iema3; - } - - ifail = 0; - G13ME g13me = new G13ME(nb, iema, t, tau, m, sinit, inter, pn, rcomm, lrcomm, ifail); - g13me.eval(); - pn = g13me.getPN(); - - //Display results for this block of data - for(int j = 0; j < nb; j++){ - System.out.printf("\t%d\t%.1f\t%.3f\n", pn - nb + (j + 1), t[j], iema[j]); - } - System.out.println(); - } - } -} - diff --git a/simple_examples/source/int32/G13NAJE.java b/simple_examples/source/int32/G13NAJE.java deleted file mode 100644 index 2032eb1..0000000 --- a/simple_examples/source/int32/G13NAJE.java +++ /dev/null @@ -1,123 +0,0 @@ -import com.nag.routines.G13.G13NA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * G13NAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class G13NAJE{ - - /** - * G13NAJ example main program - */ - public static void main(String[] args){ - double beta = 0; - int ctype = 0, ifail, iparam = 0, minss = 0, n = 0, ntau = 0; //placeholder - double[] param, sparam, y; - int[] tau; - - param = new double[1]; - //Placeholder y to be read in from data file - y = new double[0]; - - System.out.println("G13NAJ Example Program Results"); - System.out.println(); - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //Read in the problem size - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[0]); - - //Allocate enough size to hold the input series - y = new double[n]; - - //Read in the input series - for(int i = 0; i < 10; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int j = 0; j < 10; j++){ - y[(i * 10) + j] = Double.parseDouble(sVal[j]); - } - } - - //Read in the type of change point, penalty and minimum segment size - line = reader.readLine(); - sVal = line.split("\\s+"); - ctype = Integer.parseInt(sVal[0]); - iparam = Integer.parseInt(sVal[1]); - beta = Double.parseDouble(sVal[2]); - minss = Integer.parseInt(sVal[3]); - - //Read in the distribution parameter (if required) - if(iparam == 1){ - line = reader.readLine(); - sVal = line.split("\\s+"); - param[0] = Double.parseDouble(sVal[0]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - System.exit(-2); - } - - //Output arrays - tau = new int[n]; - sparam = new double[(2 * n) + 2]; - - ifail = -1; - - //Call routine to detece change points - G13NA g13na = new G13NA(ctype, n, y, beta, minss, iparam, param, ntau, tau, sparam, ifail); - g13na.eval(); - - //update - ifail = g13na.getIFAIL(); - ctype = g13na.getCTYPE(); - ntau = g13na.getNTAU(); - - if(ifail == 0 || ifail == 200 || ifail == 201){ - //Display the results - if(ctype == 5 || ctype == 6){ - //Exponential or Poisson distribtion - System.out.printf(" -- Charge Points -- Distribution\n"); - System.out.printf(" Number Position Parameter \n"); - System.out.println("====================================="); - for(int i = 0; i < ntau; i++){ - System.out.printf(" %d\t %d\t%.2f", i + 1, tau[i], sparam[i]); - } - - } - else{ - //Normal of Gamma distribution - System.out.printf(" -- Charge Points -- --- Distribution ---\n"); - System.out.printf(" Number Position Parameters\n"); - System.out.println("================================================="); - for(int i = 0; i < ntau; i++){ - System.out.printf(" %d\t %d\t %.2f\t %.2f\n", (i + 1), tau[i], sparam[2 * i], sparam[(2 * i) + 1]); - } - } - } - if(ifail == 200 || ifail == 201){ - System.out.println("Some truncation occured internally to avoid overflow"); - } - } -} diff --git a/simple_examples/source/int32/H02BBJE.java b/simple_examples/source/int32/H02BBJE.java deleted file mode 100644 index 04f4207..0000000 --- a/simple_examples/source/int32/H02BBJE.java +++ /dev/null @@ -1,92 +0,0 @@ -import com.nag.routines.H.H02BB; - -/** - * H02BBJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class H02BBJE{ - - /** - * H02BBJ example main program - */ - public static void main(String[] args){ - double bigbnd, objmip = 0, tolfes, toliv; - int ifail, intfst, itmax, lda, liwork, lrwork, m, maxdpt, maxnod, msglvl, n; - double[] a, bl, bu, cvec, rwork, x; - int[] intvar, iwork; - - System.out.println("H02BBJ Example Program Results"); - System.out.println(); - - //Data (can be read in from data file) - n = 2; - m = 3; - lda = m; - - a = new double[lda * n]; - bl = new double[m + n]; - bu = new double[m + n]; - cvec = new double[n]; - x = new double[n]; - intvar = new int[n]; - - itmax = 0; - msglvl = 10; - maxnod = 0; - intfst = 0; - maxdpt = 4; - tolfes = 0; - toliv = 0; - - cvec[0] = -3; - cvec[1] = -4; - - //A = ( 2, 5) - // ( 2, -2) - // ( 3, 2) - a[0] = 2; - a[1] = 2; - a[2] = 3; - a[3] = 5; - a[4] = -2; - a[5] = 2; - - bigbnd = 1E+20; - - bl[0] = 0; - bl[1] = 0; - bl[2] = -1E+20; - bl[3] = -1E+20; - bl[4] = 5; - - bu[0] = 1E+20; - bu[1] = 1E+20; - bu[2] = 15; - bu[3] = 5; - bu[4] = 1E+20; - - intvar[0] = 1; - intvar[1] = 1; - - x[0] = 1; - x[1] = 1; - - liwork = ((25 + n + m) * maxdpt) + (5 * n) + m + 4; - //Math.pow() needs to be casted to int in java - lrwork = (maxdpt * (n + 1)) + (2 * (int)Math.pow(Math.min(n, m + 1), 2)) + (14 * n) + (12 * m); - iwork = new int[liwork]; - rwork = new double[lrwork]; - - ifail = 0; - - H02BB h02bb = new H02BB(itmax, msglvl, n, m, a, lda, bl, bu, intvar, cvec, maxnod, intfst, maxdpt, toliv, - tolfes, bigbnd, x, objmip, iwork, liwork, rwork, lrwork, ifail); - h02bb.eval(); - } -} - - - - - diff --git a/simple_examples/source/int32/H02DAJE.java b/simple_examples/source/int32/H02DAJE.java deleted file mode 100644 index 6e90401..0000000 --- a/simple_examples/source/int32/H02DAJE.java +++ /dev/null @@ -1,228 +0,0 @@ -import com.nag.routines.H.H02DA; -import com.nag.routines.H.H02ZK; -import com.nag.routines.H.H02ZL; -import com.nag.routines.X04.X04CA; -import java.util.Arrays; - -/** - * H02DAJ exmaple program text - * @author willa - * @since 27.1.0.0 - */ -public class H02DAJE{ - - /** - * H02DAJ example main program - */ - public static void main(String[] args){ - double acc, accqp = 0, objmip = 0; - int ifail, ivalue = 0, lda, liopts, lopts, maxit, n, nclin, ncnln, optype = 0; - String cvalue; - double[] a, ax, bl, bu, c, cjac, d, objgrd, x, opts, ruser; - int[] iopts, iuser, varcon; - - System.out.println("H02DAJ Example Program Results"); - System.out.println(); - - opts = new double[100]; - ruser = new double[1]; - iopts = new int[200]; - iuser = new int[1]; - - //Blank 40 character string to represent ```Character (40) :: cvalue``` - char[] ch = new char[40]; - Arrays.fill(ch, ' '); - cvalue = new String(ch); - - n = 8; - nclin = 5; - ncnln = 2; - lda = nclin; - - a = new double[lda * n]; - d = new double[nclin]; - ax = new double[nclin]; - bl = new double[n]; - bu = new double[n]; - varcon = new int[n + nclin + ncnln]; - x = new double[n]; - c = new double[ncnln]; - cjac = new double[ncnln * n]; - objgrd = new double[n]; - - //Set variable types: continuous then binary - varcon[0] = 0; - varcon[1] = 0; - varcon[2] = 0; - varcon[3] = 0; - varcon[4] = 1; - varcon[5] = 1; - varcon[6] = 1; - varcon[7] = 1; - - //Set continuous variable bounds - bl[0] = 0; - bl[1] = 0; - bl[2] = 0; - bl[3] = 0; - bu[0] = 1000; - bu[1] = 1000; - bu[2] = 1000; - bu[3] = 1000; - - //Bounds for binary variables need not be provided - bl[4] = 0; - bl[5] = 0; - bl[6] = 0; - bl[7] = 0; - bu[4] = 1; - bu[5] = 1; - bu[6] = 1; - bu[7] = 1; - - //Set linear constraint, equality first - varcon[n] = 3; - varcon[n + 1] = 4; - varcon[n + 2] = 4; - varcon[n + 3] = 4; - varcon[n + 4] = 4; - - //Set Ax=d then Ax>=d - //( 1, 1, 1, 1, 0, 0, 0, 0) - //(-1, 0, 0, 0, 1, 0, 0, 0) - //( 0,-1, 0, 0, 0, 1, 0, 0) - //( 0, 0,-1, 0, 0, 0, 1, 0) - //( 0, 0, 0,-1, 0, 0, 0, 1) - a[0] = 1; - a[1] = -1; - a[5] = 1; - a[7] = -1; - a[10] = 1; - a[13] = -1; - a[15] = 1; - a[19] = -1; - a[21] = 1; - a[27] = 1; - a[33] = 1; - a[39] = 1; - d[0] = 1; - d[1] = 0; - d[2] = 0; - d[3] = 0; - d[4] = 0; - - //Set constraints supplied by CONFUN, equality first - varcon[n + nclin] = 3; - varcon[n + nclin + 1] = 4; - - liopts = iopts.length; - lopts = opts.length; - - //Initialize communication arrays - ifail = 0; - H02ZK h02zk = new H02ZK("Initialize = H02DAF", iopts, liopts, opts, lopts, ifail); - h02zk.eval(); - - - //Optimization parameters - maxit = 500; - acc = 0.000001; - - //Initial estimate (binary variables need not be given) - x[0] = 1; - x[1] = 1; - x[2] = 1; - x[3] = 1; - x[4] = 0; - x[5] = 0; - x[6] = 0; - x[7] = 0; - - //Portfolio parameters p and rho - iuser[0] = 3; - ruser[0] = 10; - - ifail = 0; - //Create objfun1, confun1 to pass to H02DA representing repsecitve subroutines - objfun objfun1 = new objfun(); - confun confun1 = new confun(); - H02DA h02da = new H02DA(n, nclin, ncnln, a, lda, d, ax, bl, bu, varcon, x, confun1, c, cjac, objfun1, - objgrd, maxit, acc, objmip, iopts, opts, iuser, ruser, ifail); - h02da.eval(); - - //Results - ifail = h02da.getIFAIL(); - if(ifail == 0){ - X04CA x04ca = new X04CA("G", "N", n, 1, x, n, "Final Esimate:", ifail); - x04ca.eval(); - - //Query the accuracy of the mixed integer QP Solver - ifail = -1; - H02ZL h02zl = new H02ZL("QP Accuracy", ivalue, accqp, cvalue, optype, iopts, opts, ifail); - h02zl.eval(); - - //Update values to print - accqp = h02zl.getRVALUE(); - objmip = h02da.getOBJMIP(); - ifail = h02zl.getIFAIL(); - if(ifail == 0){ - System.out.printf("Requested accuracy of QP subproblems\t%.4e\n", accqp); - } - System.out.printf("Optimised value:\t%.3f\n", objmip); - } - else{ - System.out.printf("h02daf returns ifail = %d\n", ifail); - } - } - - /** - * objfun class extending Abstract_H02DA_OBJFUN to represent objfun subroutine for passing to H02DA - */ - public static class objfun extends H02DA.Abstract_H02DA_OBJFUN{ - public void eval(){ - if(this.MODE == 0){ - //Objective value - this.OBJMIP = (this.X[0] * ((4 * this.X[0]) + (3 * this.X[1]) - this.X[2])) - + (this.X[1] * ((3 * this.X[0]) + (6 * this.X[1]) + this.X[2])) - + (this.X[2] * (this.X[1] - this.X[0] + (10 * this.X[2]))); - } - else{ - //Objective gradients for continous varaiables - this.OBJGRD[0] = (8 * this.X[0]) + (6 * this.X[1]) - (2 * this.X[2]); - this.OBJGRD[1] = (6 * this.X[0]) + (12 * this.X[1]) + (2 * this.X[2]); - this.OBJGRD[2] = (2 * (this.X[1] - this.X[0])) + (20 * this.X[2]); - this.OBJGRD[3] = 0; - } - } - } - - /** - * confun class extending Abstract_H02DA_CONFUN to represent confun subroutine for passing to H02DA - */ - public static class confun extends H02DA.Abstract_H02DA_CONFUN{ - public void eval(){ - if(this.MODE == 0){ - //Constraints - int p = this.IUSER[0]; - double rho = this.RUSER[0]; - - //Mean return rho: - this.C[0] = (8 * this.X[0]) + (9 * this.X[1]) + (12 * this.X[2]) + (7 * this.X[3]) - rho; - //Maximum of p assets in portfolio - this.C[1] = p - this.X[4] - this.X[5] - this.X[6] - this.X[7]; - } - else{ - //Jacobian - this.CJAC[0] = 8; - this.CJAC[2] = 9; - this.CJAC[4] = 12; - this.CJAC[6] = 7; - //c[2] does not include continuours varaibles which requries that their derivatives are zero - this.CJAC[1] = 0; - this.CJAC[3] = 0; - this.CJAC[5] = 0; - this.CJAC[7] = 0; - } - } - } -} diff --git a/simple_examples/source/int32/M01CCJE.java b/simple_examples/source/int32/M01CCJE.java deleted file mode 100644 index fda5e2f..0000000 --- a/simple_examples/source/int32/M01CCJE.java +++ /dev/null @@ -1,42 +0,0 @@ -import com.nag.routines.M01.M01CC; -import java.io.*; - -/** - * M01CC example program text. - */ -public class M01CCJE { - - public static void main(String[] args) throws Exception { - - String[] ch; - String order = "Reverse ASCII"; - int m1,m2,l1,l2; - int ifail = 0; - - BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); - - dataIn.readLine(); - m2 = Integer.parseInt(dataIn.readLine().trim().split(":+")[0].trim()); - ch = new String[m2]; - m1 = 1; - for (int i = m1-1; i < m2; ++i) { - ch[i] = dataIn.readLine(); - } - dataIn.close(); - l1 = 7; - l2 = 12; - - System.out.println(" M01CCJ Example Program Results"); - M01CC m01cc = new M01CC(ch, m1, m2, l1, l2, order, ifail); - m01cc.eval(); - ifail = m01cc.getIFAIL(); - System.out.println(); - System.out.printf(" Records sorted on columns %2d to %2d\n",l1,l2); - System.out.println(); - for (int i = m1-1; i < m2; ++i) { - System.out.println(" "+ch[i]); - } - - } - -} diff --git a/simple_examples/source/int32/S01BAJE.java b/simple_examples/source/int32/S01BAJE.java deleted file mode 100644 index 4bf2823..0000000 --- a/simple_examples/source/int32/S01BAJE.java +++ /dev/null @@ -1,39 +0,0 @@ -import com.nag.routines.S.S01BA; - -/** - * S01BAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S01BAJE{ - - /** - * S01BAJE main program - */ - public static void main(String[] args){ - double y; - int ifail; - double[] xVal; //data - - //store data - xVal = new double[6]; - xVal[0] = 2.5; - xVal[1] = 0.125; - xVal[2] = -0.906; - xVal[3] = 0.00129; - xVal[4] = -0.00000783; - xVal[5] = 0.000000001; - - System.out.println("S01BAJ Example Program Results"); - System.out.println(); - System.out.printf("\tX\t\tY\n"); - - for(double x : xVal){ - ifail = -1; - S01BA s01ba = new S01BA(x, ifail); - y = s01ba.eval(); - - System.out.printf("\t%.4e\t%.4e\n", x, y); - } - } -} diff --git a/simple_examples/source/int32/S10AAJE.java b/simple_examples/source/int32/S10AAJE.java deleted file mode 100644 index 2a0878a..0000000 --- a/simple_examples/source/int32/S10AAJE.java +++ /dev/null @@ -1,40 +0,0 @@ -import com.nag.routines.S.S10AA; - -/** - * S10AAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S10AAJE{ - - /** - * S10AAJ example main program - */ - public static void main(String[] args){ - double y; - double[] xVal; - int ifail; - - //x values (can be read in from data file) - xVal = new double[4]; - xVal[0] = -20; - xVal[1] = -5.0; - xVal[2] = 0.5; - xVal[3] = 5.0; - - System.out.println("S10AAJ Example Program Results"); - - System.out.println(); - System.out.printf("\tX\t\tY"); - System.out.println(); - - for(double x : xVal){ - ifail = -1; - S10AA s10aa = new S10AA(x, ifail); - y = s10aa.eval(); - ifail = s10aa.getIFAIL(); - - System.out.printf("\t%.3e\t%.3e\n", x, y); - } - } -} diff --git a/simple_examples/source/int32/S10ABJE.java b/simple_examples/source/int32/S10ABJE.java deleted file mode 100644 index dd84ab7..0000000 --- a/simple_examples/source/int32/S10ABJE.java +++ /dev/null @@ -1,41 +0,0 @@ -import com.nag.routines.S.S10AB; - -/** - * S10ABJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S10ABJE{ - - /** - * S10ABJ example main program - */ - public static void main(String[] args){ - double y; - double[] xVal; - int ifail; - - //x values (can be read in from data file) - xVal = new double[5]; - xVal[0] = -10; - xVal[1] = -0.5; - xVal[2] = 0; - xVal[3] = 0.5; - xVal[4] = 25.0; - - System.out.println("S10ABJ Example Program Results"); - - System.out.println(); - System.out.printf("\tX\t\tY"); - System.out.println(); - - for(double x : xVal){ - ifail = -1; - S10AB s10ab = new S10AB(x, ifail); - y = s10ab.eval(); - ifail = s10ab.getIFAIL(); - - System.out.printf("\t%.3e\t%.3e\n", x, y); - } - } -} diff --git a/simple_examples/source/int32/S10ACJE.java b/simple_examples/source/int32/S10ACJE.java deleted file mode 100644 index cc0c04c..0000000 --- a/simple_examples/source/int32/S10ACJE.java +++ /dev/null @@ -1,41 +0,0 @@ -import com.nag.routines.S.S10AC; - -/** - * S10ACJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S10ACJE{ - - /** - * S10ACJ example main program - */ - public static void main(String[] args){ - double y; - double[] xVal; - int ifail; - - //x values (can be read in from data file) - xVal = new double[5]; - xVal[0] = -10; - xVal[1] = -0.5; - xVal[2] = 0; - xVal[3] = 0.5; - xVal[4] = 25.0; - - System.out.println("S10ACJ Example Program Results"); - - System.out.println(); - System.out.printf("\tX\t\tY"); - System.out.println(); - - for(double x : xVal){ - ifail = -1; - S10AC s10ac = new S10AC(x, ifail); - y = s10ac.eval(); - ifail = s10ac.getIFAIL(); - - System.out.printf("\t%.3e\t%.3e\n", x, y); - } - } -} diff --git a/simple_examples/source/int32/S14ABJE.java b/simple_examples/source/int32/S14ABJE.java deleted file mode 100644 index 673a4b3..0000000 --- a/simple_examples/source/int32/S14ABJE.java +++ /dev/null @@ -1,71 +0,0 @@ -import com.nag.routines.S.S14AB; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * S14ABJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S14ABJE{ - - /** - * S14ABJ example main program - */ - public static void main(String[] args){ - double x, y; - int ifail; - - System.out.println("S14ABJ Example Program Results"); - - //Supply file path as argument - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - System.out.println(); - System.out.printf("\tX\t\tY"); - System.out.println(); - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //loop until break - while(true){ - line = reader.readLine(); - - //if finished looping through file break - if(line == null){ - break; - } - String[] sVal = line.split("\\s+"); - - x = Double.parseDouble(sVal[1]); - - ifail = -1; - S14AB s14ab = new S14AB(x, ifail); - y = s14ab.eval(); - //update ifail - ifail = s14ab.getIFAIL(); - - if(ifail < 0){ - break; - } - System.out.printf("\t%.3e\t%.3e\n", x, y); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} - diff --git a/simple_examples/source/int32/S14ACJE.java b/simple_examples/source/int32/S14ACJE.java deleted file mode 100644 index e2fff05..0000000 --- a/simple_examples/source/int32/S14ACJE.java +++ /dev/null @@ -1,68 +0,0 @@ -import com.nag.routines.S.S14AC; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * S14ACJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S14ACJE{ - - /** - * S14ACJ example main program - */ - public static void main(String[] args){ - double f, x; - int ifail; - - System.out.println("S14ACJ Example Program Results"); - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - System.out.println(); - System.out.printf("\tX\tpsi(X)-log(X)\n"); - System.out.println(); - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //Loop until break... - while(true){ - line = reader.readLine(); - if(line == null){ - break; - } - String[] sVal = line.split("\\s+"); - - x = Double.parseDouble(sVal[0]); - - ifail = -1; - S14AC s14ac = new S14AC(x, ifail); - f = s14ac.eval(); - ifail = s14ac.getIFAIL(); - - if(ifail < 0){ - break; - } - - System.out.printf("\t%.4f\t%.4f\n", x, f); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} diff --git a/simple_examples/source/int32/S14AFJE.java b/simple_examples/source/int32/S14AFJE.java deleted file mode 100644 index 9005cc1..0000000 --- a/simple_examples/source/int32/S14AFJE.java +++ /dev/null @@ -1,80 +0,0 @@ -import com.nag.routines.S.S14AF; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * S14AFJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class S14AFJE{ - - /** - * S14AFJ Example main program - */ - public static void main(String[] args){ - NAGComplex y, z; - int ifail, k; - - //Tell the wrapper the type of complex being used before calling a routine - Routine.setComplex(new NAGComplex()); - - y = new NAGComplex(); - z = new NAGComplex(); - - System.out.println("S14AFJ Example Program Results"); - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); - - System.out.println(); - System.out.println("\tZ\t\tK\t(d^K/dz^K)psi(Z)"); - System.out.println(); - - //loop until break... - while(true){ - line = reader.readLine(); - - //end of file reached - if(line == null){ - break; - } - - String[] sVal = line.split("\\s+"); - z.setRe(Double.parseDouble(sVal[0])); - z.setIm(Double.parseDouble(sVal[1])); - k = Integer.parseInt(sVal[2]); - - ifail = -1; - S14AF s14af = new S14AF(z, k, ifail); - y = (NAGComplex) s14af.eval(); - ifail = s14af.getIFAIL(); - - //ifail < 0 => error - if(ifail < 0){ - break; - } - System.out.printf("\t(%.1f, %.1f)\t%d\t(%.4e, %.4e)\n", z.getRe(), z.getIm(), k, y.getRe(), y.getIm()); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} diff --git a/simple_examples/source/int32/S17DCJE.java b/simple_examples/source/int32/S17DCJE.java deleted file mode 100644 index ba01290..0000000 --- a/simple_examples/source/int32/S17DCJE.java +++ /dev/null @@ -1,69 +0,0 @@ -import com.nag.routines.S.S17DC; -import com.nag.types.NAGComplex; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -public class S17DCJE{ - private static int n = 2; - - public static void main(String[] args){ - double fnu; - int ifail, nz = 0; - String scal; - NAGComplex z; - NAGComplex[] cwrk, cy; - - z = new NAGComplex(); - //initiate complex arrays like this to save looping through and doing it manually by looping through - cwrk = NAGComplex.createArray(n); - cy = NAGComplex.createArray(n); - - System.out.println("S17DCF Example Program Results"); - - //Supply file path as argument - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - System.out.println(); - System.out.printf("Calling with N = %d\n", n); - System.out.println(); - System.out.printf("FNU\tZ\t\t\tSCAL\tCY[0]\t\t\tCY[1]\t\t\tNZ"); - System.out.println(); - - while(true){ - line = reader.readLine(); - if(line == null){ - break; - } - String[] sVal = line.split("\\s+"); - fnu = Double.parseDouble(sVal[0]); - z.setRe(Double.parseDouble(sVal[1])); - z.setIm(Double.parseDouble(sVal[2])); - scal = sVal[3].substring(1,2); - - ifail = 0; - S17DC s17dc = new S17DC(fnu, z, n, scal, cy, nz, cwrk, ifail); - s17dc.eval(); - - System.out.printf("%.4f\t(%.4f, %.4f)\t%s\t(%.4f, %.4f)\t(%.4f, %.4f)\t%d\n", fnu, z.getRe(), z.getIm(), scal, cy[0].getRe(), cy[0].getIm(), cy[1].getRe(), cy[1].getIm(), nz); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} - diff --git a/simple_examples/source/int32/S17DGJE.java b/simple_examples/source/int32/S17DGJE.java deleted file mode 100644 index b93c9e0..0000000 --- a/simple_examples/source/int32/S17DGJE.java +++ /dev/null @@ -1,61 +0,0 @@ -import com.nag.routines.S.S17DG; -import com.nag.types.NAGComplex; -import java.io.*; -import java.util.regex.Matcher; -import java.util.regex.Pattern; - -/** - * S17DG example program text. - */ -public class S17DGJE { - - public static void main(String[] args) throws Exception { - String deriv,scal; - int ifail = 1; - NAGComplex z,ai; - int nz = -1; - z = new NAGComplex(); - ai = new NAGComplex(); - ai.setRe(Double.NaN); - ai.setIm(Double.NaN); - - System.out.println(" S17DGJ Example Program Results"); - BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); - - dataIn.readLine(); - System.out.println(); - System.out.println(" DERIV Z SCAL AI NZ"); - System.out.println(); - String line = dataIn.readLine(); - Pattern linePatt = Pattern.compile("\\s*'([A-Z]{1})'\\s+\\(\\s*([0-9\\.\\-]+)\\s*," - + "\\s*([0-9\\.\\-]+)\\s*\\)\\s+'([A-Z]{1})'\\s*"); - Matcher m; - S17DG s17dg = new S17DG(); - while (line != null) { - m = linePatt.matcher(line); - if (m.matches()) { - deriv = m.group(1); - z.setRe(Double.parseDouble(m.group(2))); - z.setIm(Double.parseDouble(m.group(3))); - scal = m.group(4); - ifail = 1;// SOFT AND SILENT FAILURE - s17dg.eval(deriv,z,scal,ai,nz,ifail); - if (s17dg.getIFAIL() == 0) { - System.out.printf(" %s (%8.4f,%8.4f) %s (%8.4f,%8.4f) %4d\n", - s17dg.getDERIV(), s17dg.getZ().getRe(), s17dg.getZ().getIm(), s17dg.getSCAL(), - s17dg.getAI().getRe(), s17dg.getAI().getIm(), s17dg.getNZ()); - } - else { - System.err.println("Something went wrong - S17DG returned IFAIL = "+s17dg.getIFAIL()); - System.exit(-1); - } - } - else { - System.out.println("Can't match:\n"+line); - } - line = dataIn.readLine(); - } - - } - -} diff --git a/simple_examples/source/int32/S30AAJE.java b/simple_examples/source/int32/S30AAJE.java deleted file mode 100644 index 7e01ffe..0000000 --- a/simple_examples/source/int32/S30AAJE.java +++ /dev/null @@ -1,109 +0,0 @@ -import com.nag.routines.S.S30AA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * S30AAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S30AAJE{ - - /** - * S30AAJ main program - */ - public static void main(String[] args){ - double q = 0, r = 0, s = 0, sigma = 0; - int ifail, ldp, m = 0, n = 0; - String calput = ""; //placeholders - double[] p, t, x; - - //placeholders - t = new double[0]; - x = new double[0]; - - System.out.println("S30AAJ Example Program Results"); - - //Supply file path as arugment - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - calput = sVal[0].substring(1,2); - - line = reader.readLine(); - sVal = line.split("\\s+"); - s = Double.parseDouble(sVal[0]); - sigma = Double.parseDouble(sVal[1]); - r = Double.parseDouble(sVal[2]); - q = Double.parseDouble(sVal[3]); - - line = reader.readLine(); - sVal = line.split("\\s+"); - m = Integer.parseInt(sVal[0]); - n = Integer.parseInt(sVal[1]); - - t = new double[n]; - x = new double[m]; - - for(int i = 0; i < m; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - x[i] = Double.parseDouble(sVal[0]); - } - for(int i = 0; i < n; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - t[i] = Double.parseDouble(sVal[0]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ldp = m; - p = new double[ldp * n]; - - ifail = 0; - S30AA s30aa = new S30AA(calput, m, n, x, s, t, sigma, r, q, p, ldp, ifail); - s30aa.eval(); - - System.out.println(); - System.out.println("Black-Scholes-Merton formula"); - - if(calput.toLowerCase().equals("c")){ - System.out.println("European Call : "); - } - else if(calput.toLowerCase().equals("p")){ - System.out.println("European Put : "); - } - - System.out.printf(" Spot =\t%.4f\n", s); - System.out.printf(" Volatility =\t%.4f\n", sigma); - System.out.printf(" Rate =\t%.4f\n", r); - System.out.printf(" Dividend =\t%.4f\n", q); - - System.out.println(); - System.out.printf(" Strike\tExpiry\tOption Price\n"); - for(int i = 0; i < m; i++){ - for(int j = 0; j < n; j++){ - System.out.printf(" %.4f\t%.4f\t%.4f\n", x[i], t[j], p[i + (j * 3)]); - } - } - } -} - diff --git a/simple_examples/source/int32/S30ACJE.java b/simple_examples/source/int32/S30ACJE.java deleted file mode 100644 index 8d994dc..0000000 --- a/simple_examples/source/int32/S30ACJE.java +++ /dev/null @@ -1,129 +0,0 @@ -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.util.Arrays; - -import com.nag.routines.S.S30AC; - -/** - * S30AC example program text. - */ -public class S30ACJE { - - public static void main(String[] args) { - - int i, ifail, mode = 0, n = 0; - String calput; - - double[] k = null, p = null, r = null, s0 = null, sigma = null, t = null; - int[] ivalid = null; - - // Strings must be length expected by Fortran - calput = getBlankString(1); - - /* Header */ - System.out.println(" S30ACJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); // skip header - - System.out.println(); - System.out.println(" SIGMA IVALID"); - System.out.println(); - - line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - calput = sVal[0].replaceAll("\'", ""); - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - mode = Integer.parseInt(sVal[1]); - - line = reader.readLine(); // skip empty line - - p = new double[n]; - k = new double[n]; - s0 = new double[n]; - t = new double[n]; - r = new double[n]; - sigma = new double[n]; - ivalid = new int[n]; - - // Read p, k, s0, t and r from data file - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - p[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - k[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - s0[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - t[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - r[i] = Double.parseDouble(sVal[i]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Find the implied volatilities, sigma - ifail = 0; - S30AC s30ac = new S30AC(); - s30ac.eval(calput, n, p, k, s0, t, r, sigma, mode, ivalid, ifail); - - // Print solution - for (i = 0; i < n; i++) { - System.out.printf(" %12.3E%5d\n", sigma[i], ivalid[i]); - } - - } - - /** - * Returns a new String, filled with spaces to the specified length. - * - * @param len the required length of the String - * @return a blank String of the specified length - */ - public static String getBlankString(int len) { - - if (len > 0) { - char[] arr = new char[len]; - Arrays.fill(arr, ' '); - return new String(arr); - } - - return ""; - - } -} diff --git a/simple_examples/source/int32/X03AAJE.java b/simple_examples/source/int32/X03AAJE.java deleted file mode 100644 index b03f1ab..0000000 --- a/simple_examples/source/int32/X03AAJE.java +++ /dev/null @@ -1,87 +0,0 @@ -import com.nag.routines.X03.X03AA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * X03AAJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class X03AAJE{ - - /** - * X03AAJ example main program. - */ - public static void main(String[] args){ - int n = 3; - double c1 = 0, c2 = 0, d1 = 0, d2 = 0; //placeholder - int ifail, isizea, isizeb, istepa, istepb; - boolean sw; - double[] a, b; - - a = new double[n * n]; - b = new double[n]; - - System.out.println("X03AAF Example Program Results"); - System.out.println(); - - if(args.length != 1){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //stored column wise - //a = (-2, -3, 7) - // ( 2, -5, 3) - // (-9, 1, 0) - for(int i = 0; i < n; i++){ - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - for(int j = 0; j < n; j++){ - a[i + (j * n)] = Double.parseDouble(sVal[j + 1]); - } - } - - line = reader.readLine(); - for(int i = 0; i < n; i++){ - String[] sVal = line.split("\\s+"); - b[i] = Double.parseDouble(sVal[i + 1]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - - c1 = 1; - c2 = 0; - isizea = n; - isizeb = n; - istepa = 1; - istepb = 1; - sw = true; - - ifail = 0; - X03AA x03aa = new X03AA(a , isizea, b, isizeb, n, istepa, istepb, c1, c2, d1, d2, sw, ifail); - x03aa.eval(); - - //update - c1 = x03aa.getC1(); - c2 = x03aa.getC2(); - d1 = x03aa.getD1(); - d2 = x03aa.getD2(); - - System.out.printf("D1 = %.1f D2 = %.1f\n", d1, d2); - } -} diff --git a/simple_examples/source/int32/X04CBJE.java b/simple_examples/source/int32/X04CBJE.java deleted file mode 100644 index fa77c3a..0000000 --- a/simple_examples/source/int32/X04CBJE.java +++ /dev/null @@ -1,53 +0,0 @@ -import com.nag.routines.X04.X04CB; - -/** - * X04CBJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class X04CBJE{ - - /** - * X04CBJ example main program - */ - public static void main(String[] args){ - int nmax = 5, lda = nmax, ifail, indent, ncols; - double[] a; - - a = new double[lda * nmax]; - - String[] clabs = {"Un ", "Deux ", "Trois ", "Quatre ", "Cinq "}; - String[] rlabs = {"Uno ", "Due ", "Tre ", "Quattro", "Cinque "}; - - System.out.println("X04CBJ Example Program Results"); - System.out.println(); - - //generate an array of data - for(int i = 0; i < nmax; i++){ - for(int j = 0; j < lda; j++){ - a[(i * lda) + j] = (double) ((10 * (j + 1)) + i + 1); - } - } - - ncols = 80; - indent = 0; - - //Print 3 by nmax rectangular matrix with default format and integer row and column labels - ifail = 0; - X04CB x04cb = new X04CB("General", " ", 3, nmax, a, lda, " ", "Example 1", "Integer", rlabs, "Integer", - clabs, ncols, indent, ifail); - x04cb.eval(); - System.out.println(); - - //Print nmax by namx upper triangular matrix with user-supplied format and row and column labels - ifail = 0; - x04cb.eval("Upper", "Non-unit", nmax, nmax, a, lda, "F8.2", "Example 2:", "Character", rlabs, "Character", - clabs, ncols, indent, ifail); - System.out.println(); - - //Print 3 by nmax lower triangular matrix in MATLAB format - //Row and column labelling is ignored - ifail = 0; - x04cb.eval("Lower", "Non-unit", 3, nmax, a, lda, "MATLABF8.2", "A", " ", rlabs, " ", clabs, ncols, indent, ifail); - } -} diff --git a/simple_examples/source/int32/X05ABJE.java b/simple_examples/source/int32/X05ABJE.java deleted file mode 100644 index acb3804..0000000 --- a/simple_examples/source/int32/X05ABJE.java +++ /dev/null @@ -1,25 +0,0 @@ -import com.nag.routines.X05.X05AB; - -/** - * X05AB example program text. - */ -public class X05ABJE { - - public static void main(String[] args) { - - int[] itime = new int[7]; - - itime[0] = 1789; - itime[1] = 7; - itime[2] = 14; - itime[3] = 13; - itime[4] = 11; - itime[5] = 48; - itime[6] = 320; - - System.out.println(" X05ABJ Example Program Results"); - System.out.println((new X05AB(itime)).eval()); - - } - -} diff --git a/simple_examples/source/int64/A00AAJE.java b/simple_examples/source/int64/A00AAJE.java deleted file mode 100644 index 490c163..0000000 --- a/simple_examples/source/int64/A00AAJE.java +++ /dev/null @@ -1,14 +0,0 @@ -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.A00.A00AA; -import com.nag.routines.Routine; - -public class A00AAJE { - - public static void main (String[] args) throws NAGBadIntegerException { - Routine.init(); - A00AA a00aa = new A00AA(); - System.out.println(" A00AAJ Example Program Results\n"); - a00aa.eval(); - } - -} diff --git a/simple_examples/source/int64/A00ADJE.java b/simple_examples/source/int64/A00ADJE.java deleted file mode 100644 index 8250321..0000000 --- a/simple_examples/source/int64/A00ADJE.java +++ /dev/null @@ -1,113 +0,0 @@ -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.A00.A00AD; -import com.nag.routines.Routine; -import java.util.Arrays; - -public class A00ADJE { - - /* Parameters */ - public static final int MSGLEN = 15; - - /** A00ADJ Example Program */ - public static void main (String[] args) throws NAGBadIntegerException { - /* Local Scalars */ - int i; - long mkmaj, mkmin; - boolean licval; - String fcomp = getBlankString(80), hdware = getBlankString(80), - impl = getBlankString(80), opsys = getBlankString(80), - pcode = getBlankString(80), prec = getBlankString(80), - vend = getBlankString(80); - /* Local Arrays */ - int[] itime = new int[7]; - String[] msg = new String[MSGLEN]; - - // Instantiate arguments - mkmaj = 0; - mkmin = 0; - licval = false; - // Strings must be length expected by Fortran - fcomp = getBlankString(80); - hdware = getBlankString(80); - impl = getBlankString(80); - opsys = getBlankString(80); - pcode = getBlankString(80); - prec = getBlankString(80); - vend = getBlankString(80); - for (i = 0; i < MSGLEN; i++) msg[i] = getBlankString(102); - - Routine.init(); - System.out.println(" A00ADJ Example Program Results\n"); - - A00AD a00ad = new A00AD(); - a00ad.eval(impl, prec, pcode, mkmaj, mkmin, hdware, opsys, fcomp, vend, licval); - impl = a00ad.getIMPL(); - prec = a00ad.getPREC(); - pcode = a00ad.getPCODE(); - mkmaj = a00ad.getMKMAJ(); - mkmin = a00ad.getMKMIN(); - hdware = a00ad.getHDWARE(); - opsys = a00ad.getOPSYS(); - fcomp = a00ad.getFCOMP(); - vend = a00ad.getVEND(); - licval = a00ad.getLICVAL(); - - /* Print implementation details */ - - System.out.println("*** Start of NAG Library implementation details ***"); - System.out.println(); - System.out.println("Implementation title: " + impl.trim()); - System.out.println(" Precision: " + prec.trim()); - System.out.println(" Product code: " + pcode.trim()); - - if (mkmin < 10) { - System.out.printf(" Mark: %2d.%1d\n", mkmaj, mkmin); - } - else { - System.out.printf(" Mark: %2d.%2d\n", mkmaj, mkmin); - } - - if (vend.trim().equals("(self-contained)")) { - System.out.println(" Vendor Library: None"); - } - else { - System.out.println(" Vendor Library: " + vend.trim()); - } - - System.out.println("Applicable to:"); - System.out.println(" hardware: " + hdware.trim()); - System.out.println(" operating system: " + opsys.trim()); - System.out.println(" Fortran compiler: " + fcomp.trim()); - System.out.println("and compatible systems."); - - if (!licval) { - System.out.println(" Licence query: Unsuccessful"); - } - else { - System.out.println(" Licence query: Successful"); - } - - System.out.println(); - System.out.println("*** End of NAG Library implementation details ***"); - - } - - /** - * Returns a new String, filled with spaces to the specified length - * - * @param len the required length of the String - * @returns a String of spaces of the specified length - */ - public static String getBlankString(int len) { - - if (len > 0) { - char[] arr = new char[len]; - Arrays.fill(arr, ' '); - return new String(arr); - } - - return ""; - - } - -} diff --git a/simple_examples/source/int64/C05AYJE.java b/simple_examples/source/int64/C05AYJE.java deleted file mode 100644 index a3bd5f1..0000000 --- a/simple_examples/source/int64/C05AYJE.java +++ /dev/null @@ -1,45 +0,0 @@ -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.C05.C05AY; -import com.nag.routines.Routine; - - -public class C05AYJE { - - public static void main(String[] args) throws NAGBadIntegerException { - - C05AY c05ay = new C05AY(); - OBJFUN f = new OBJFUN(); - double a = 0.0, b = 1.0, eps = 1.0e-5, eta = 0.0, x = 0.0; - long ifail = 0; - long[] iuser = new long[1]; - double[] ruser = new double[1]; - - System.out.println("C05AYJ Example Program Results"); - System.out.println(); - - Routine.init(); - c05ay.eval(a, b, eps, eta, f, x, iuser, ruser, ifail); - x = c05ay.getX(); - - switch ((int)ifail) { - case 0: - System.out.printf("Zero at x = %12.5f\n", x); - break; - case 2: case 3: - System.out.printf("Final point = %12.5f\n", x); - break; - default: - System.out.println("Unexpected ifail = " + ifail); - } - - } - - private static class OBJFUN extends C05AY.Abstract_C05AY_F { - - public double eval() { - return Math.exp(-X) - X; - } - - } - -} diff --git a/simple_examples/source/int64/C05AZJE.java b/simple_examples/source/int64/C05AZJE.java deleted file mode 100644 index bec1b03..0000000 --- a/simple_examples/source/int64/C05AZJE.java +++ /dev/null @@ -1,65 +0,0 @@ -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.C05.C05AZ; -import com.nag.routines.Routine; -import java.util.logging.Level; -import java.util.logging.Logger; - -public class C05AZJE { - - public static void main (String[] args)throws NAGBadIntegerException{ - double tolx = 0.00001, x = 0.0, y = 1.0, fx; - long ir = 0, ind = 1, ifail = -1; - double[] c = new double[17]; - boolean keepOn = true; - - Routine.init(); - - C05AZ c05az = new C05AZ(); - fx = fun(x); - int ite = 0; - - System.out.println(" C05AZJ Example Program Results\n"); - System.out.println(" Iterations\n"); - while (keepOn) { - ++ite; - - c05az.eval(x,y,fx,tolx,ir,c,ind,ifail); - - x = c05az.getX(); - y = c05az.getY(); - tolx = c05az.getTOLX(); - ir = c05az.getIR(); - ind = c05az.getIND(); - ifail = c05az.getIFAIL(); - - if(ind == 0){ - keepOn = false; - } - else{ - fx = fun(x); - System.out.printf(" X = %7.5f FX = %11.4E IND = %1d\n", x, fx, ind); - } - } - - - - switch ((int)ifail) { - case 0: - System.out.println("\n Solution\n"); - System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); - break; - case 4: - case 5: - System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); - break; - default: - System.out.printf("Unexpected error ifail=%d\n",ifail); - } - } - - private static double fun(double x) { - double res = (Math.expm1(-x) + 1) - x; - return res; - } - -} diff --git a/simple_examples/source/int64/C05MBJE.java b/simple_examples/source/int64/C05MBJE.java deleted file mode 100644 index 08dd454..0000000 --- a/simple_examples/source/int64/C05MBJE.java +++ /dev/null @@ -1,104 +0,0 @@ -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.Routine; -import com.nag.routines.C05.C05MB; -import com.nag.routines.F06.DNRM2; -import com.nag.routines.X02.X02AJ; - -/** - * C05MBJ Example Program Text - * @author joed - * @since 27.0 - */ - /* ** There have been at least 200*(n+1) calls to fcn. - ** Consider restarting the calculation from the point held in x. - ** ABNORMAL EXIT from NAG Library routine - ** NAG soft failure - control returned -*/ -public class C05MBJE { - - private static final int n = 4; - - private static class FCN extends C05MB.Abstract_C05MB_FCN { - - public void eval() { - - FVEC[0] = Math.cos(X[2]) - X[0]; - FVEC[1] = Math.sqrt(1.0 - Math.pow(X[3],2)) - X[1]; - FVEC[2] = Math.sin(X[0]) - X[2]; - FVEC[3] = Math.pow(X[1], 2) - X[3]; - - // Set iflag negative to terminate execution for any reason - IFLAG = 0; - - return; - - } - - } - - /** - * C05MBJ Example Main Program - */ - public static void main(String[] args) throws NAGBadIntegerException { - - C05MB c05mb = new C05MB(); - DNRM2 dnrm2 = new DNRM2(); - X02AJ x02aj = new X02AJ(); - FCN fcn = new FCN(); - long cpuser; - double atol, cndtol, fnorm, machpr, rtol; - long astart, ifail, m; - int i; - double[] fvec, x; - double[] ruser = new double[1]; - long[] iuser = new long[1]; - - System.out.println("C05MBJ Example Program Results\n"); - - // Initialise NAG for Java - Routine.init(); - - // Get machine precision from X02AJ - machpr = (new X02AJ()).eval(); - - fvec = new double[n]; - x = new double[n]; - - // The following starting values provide a rough solution - x = new double[]{2.0, 0.5, 2.0, 0.5}; - - m = 2; - atol = Math.sqrt(machpr); - rtol = Math.sqrt(machpr); - cndtol = 0.0; - astart = 0; - cpuser = 0; - - ifail = -1; - c05mb.eval(fcn, n, x, fvec, atol, rtol, m, cndtol, astart, iuser, ruser, - cpuser, ifail); - ifail = c05mb.getIFAIL(); - - if (ifail==0 || ifail==8 || ifail==9) { - if (ifail==0) { - // The NAG name equivalent of dnrm2 is f06ej - fnorm = dnrm2.eval(n, fvec, 1); - System.out.println(); - System.out.printf("Final 2-norm of the residuals = %12.4e\n", fnorm); - System.out.println(); - System.out.println("Final approximate solution"); - } - else { - System.out.println(); - System.out.println("Approximate solution"); - } - System.out.println(); - for (i = 1; i <= n; i++) { - System.out.printf("%12.4f", x[i-1]); - } - System.out.printf("\n"); - } - - } - -} diff --git a/simple_examples/source/int64/C05QBJE.java b/simple_examples/source/int64/C05QBJE.java deleted file mode 100644 index d7a6435..0000000 --- a/simple_examples/source/int64/C05QBJE.java +++ /dev/null @@ -1,178 +0,0 @@ -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.C05.C05QB; -import com.nag.routines.F06.DNRM2; -import com.nag.routines.Routine; -import com.nag.routines.X02.X02AJ; - -/** - * - * @author ludovic - */ -public class C05QBJE { - - /** - * @param args the command line arguments - */ - public static void main(String[] args) throws NAGBadIntegerException { - try { - Routine.init(); - - C05QB c05qb = new C05QB(); - - System.out.println(" C05QBJ Example Program Results"); - - int n = 9, ifail = -1; - - double xtol, fnorm; - - long[] IUSER = new long[1]; - double[] fvec = new double[n]; - double[] x = new double[n]; - double[] RUSER = new double[1]; - - - FCN fcn = new FCN(); - - for (int i = 0; i < n; ++i) { - x[i] = -1.0; - } - - xtol = Math.sqrt((new X02AJ()).eval()); - - c05qb.eval(fcn, n, x, fvec, xtol, IUSER, RUSER, ifail); - - ifail = (int)c05qb.getIFAIL(); - - switch (ifail) { - case (0): - fnorm = (new DNRM2(n, fvec, 1)).eval(); - System.out.println(); - System.out.printf(" Final 2-norm of the residuals = %11.4E\n", fnorm); - System.out.println(); - System.out.println(" Final approximate solution"); - int count = 0; - for (int i = 0; i < n; ++i) { - System.out.printf(" %12.4f", x[i]); - ++count; - if(count == 3){ - System.out.println(); - count = 0; - } - } - break; - case (2): - case (3): - case (4): - System.out.println("Approximate solution"); - count = 0; - for (int i = 0; i < n; ++i) { - System.out.printf(" %12.4f", x[i]); - ++count; - if(count == 3){ - System.out.println(); - count = 0; - } - } - - break; - } - - } catch (NAGBadIntegerException ex) { - System.err.println("Something went wrong!\n" + ex.getMessage()); - } - - - } - - public static class FCN implements C05QB.C05QB_FCN { - - private long N, IFLAG; - private double[] X, FVEC, RUSER; - private long[] IUSER; - - //@Override - public void setN(long N) { - this.N = N; - } - - //@Override - public long getN() { - return N; - } - - //@Override - public void setX(double[] X) { - this.X = X; - } - - //@Override - public double[] getX() { - return X; - } - - //@Override - public void setFVEC(double[] FVEC) { - this.FVEC = FVEC; - } - - //@Override - public double[] getFVEC() { - return FVEC; - } - - //@Override - public void setIUSER(long[] IUSER) { - this.IUSER = IUSER; - } - - //@Override - public long[] getIUSER() { - return IUSER; - } - - //@Override - public void setRUSER(double[] RUSER) { - this.RUSER = RUSER; - } - - //@Override - public double[] getRUSER() { - return RUSER; - } - - //@Override - public void setIFLAG(long IFLAG) { - this.IFLAG = IFLAG; - } - - //@Override - public long getIFLAG() { - return IFLAG; - } - - //@Override - public void eval(long N, double[] X, double[] FVEC, long[] IUSER, double[] RUSER, long IFLAG) { - /* - * fvec(1:n) = (3.0_nag_wp-2.0_nag_wp*x(1:n))*x(1:n) + 1.0_nag_wp - * fvec(2:n) = fvec(2:n) - x(1:(n-1)) - * fvec(1:(n-1)) = fvec(1:(n-1)) - 2.0_nag_wp*x(2:n) - */ - for (int i = 0; i < N; ++i) { - FVEC[i] = (3.0 - 2.0 * X[i]) * X[i] + 1.0; - /*if (i >= 1) { - FVEC[i] = FVEC[i] - X[i - 1]; - } - if (i < N - 1) { - FVEC[i] = FVEC[i] - 2.0 * X[i + 1]; - }*/ - } - for(int i=1;i Math.max(epsabs,epsrel*Math.abs(result))) { - System.out.println("Warning - requested accuracy may not have been achieved"); - } - - } - - - public static class D01BDJE_FUN implements D01BD.D01BD_F { - - private double x; - - public double eval(double x) { - return (x * x * Math.sin(10.0 * Math.PI * x)); - } - - public double getX() { - return x; - } - - public void setX(double d) { - x = d; - } - - - } - -} diff --git a/simple_examples/source/int64/D02NEJE.java b/simple_examples/source/int64/D02NEJE.java deleted file mode 100644 index b32ae64..0000000 --- a/simple_examples/source/int64/D02NEJE.java +++ /dev/null @@ -1,393 +0,0 @@ -import java.util.Arrays; - -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.Routine; -import com.nag.routines.D02.D02MC; -import com.nag.routines.D02.D02MW; -import com.nag.routines.D02.D02NE; -import com.nag.routines.D02.D02NEZ; -import com.nag.routines.D02.D02NP; - - -/** - * @author joed - */ -public class D02NEJE { - - public static final double ALPHA = 0.04; - public static final double BETA = 1.0E4; - public static final double GAMMA = 3.0E7; - public static final int ML = 1; - public static final int MU = 2; - public static final int NEQ1 = 3; - public static final int NEQ2 = 1; - - public static JAC1 jac1 = new JAC1(); - public static JAC2 jac2 = new JAC2(); - public static RES1 res1 = new RES1(); - public static RES2 res2 = new RES2(); - - public static void main(String[] args) throws NAGBadIntegerException { - - // Initialise wrappers - Routine.init(); - - System.out.println(" D02NEJ Example Program Results"); - - ex1(); - ex2(); - - } - - private static void ex1() { - D02MC d02mc = new D02MC(); - D02MW d02mw = new D02MW(); - D02NE d02ne = new D02NE(); - D02NP d02np = new D02NP(); - double h0, hmax, t, tout; - long ifail, itask, maxord, ijac, itol, licom, neq, lcom; - String jceval; // length 8 - double[] atol, com, rtol, y, ydot, ruser; - long[] icom, iuser; - - ruser = new double[1]; - iuser = new long[3]; - - System.out.println(); - System.out.println(" D02NEF Example 1"); - System.out.println(); - - maxord = 5; - - neq = NEQ1; - lcom = 40 + (maxord + 4) * neq + (2 * ML + MU + 1) * neq - + 2 * (neq / (ML + MU + 1) + 1); - licom = 50 + neq; - - atol = new double[(int)neq]; - com = new double[(int)lcom]; - rtol = new double[(int)neq]; - y = new double[(int)neq]; - ydot = new double[(int)neq]; - icom = new long[(int)licom]; - - ijac = 1; - itol = 1; - Arrays.fill(rtol, 1.0E-3); - Arrays.fill(atol, 1.0E-6); - Arrays.fill(ydot, 0.0); - - // String length = 8 - jceval = (ijac == 1) ? "Analytic" : "Numeric "; - - // Set initial values - y[0] = 1.0; - y[1] = 0.0; - y[2] = 0.0; - - // Initialize the problem, specifying that the Jacobian is to be - // evaluated analytically using the provided routine jac. - hmax = 0.0; - h0 = 0.0; - t = 0.0; - tout = 0.02; - ifail = 0; - d02mw.eval( - neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail - ); - ifail = d02mw.getIFAIL(); - - // Specify that the Jacobian is banded. - ifail = 0; - d02np.eval(neq, ML, MU, icom, licom, ifail); - ifail = d02np.getIFAIL(); - - // Use the iuser array to pass the band dimensions through to jac. - // An alternative would be to hard code values for ml and mu in jac. - iuser[0] = ML; - iuser[1] = MU; - iuser[2] = ijac; - - System.out.printf(" t "); - for (int i = 1; i <= neq; i++) { - System.out.printf(" Y(%1d) ", i); - } - System.out.println(); - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - itask = 0; - - // Obtain the solution at 5 equally spaced values of T. - for (int j = 0; j < 5; j++) { - ifail = -1; - d02ne.eval( - neq, t, tout, y, ydot, rtol, atol, itask, res1, jac1, icom, - com, lcom, iuser, ruser, ifail - ); - itask = d02ne.getITASK(); - ifail = d02ne.getIFAIL(); - t = d02ne.getT(); - - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - if (ifail != 0) { - System.out.printf( - " ** D02NEF returned with IFAIL = %5d\n", ifail - ); - break; - } - - tout += 0.02; - d02mc.eval(icom); - - } - - System.out.println(); - System.out.printf( - " The integrator completed task, ITASK = %4d\n", itask - ); - - } - - private static void ex2() { - D02MC d02mc = new D02MC(); - D02MW d02mw = new D02MW(); - D02NE d02ne = new D02NE(); - double h0, hmax, t, tout; - long ifail, ijac, itask, itol, lcom, licom, maxord, neq; - String jceval; // length 8 - double[] atol, com, rtol, y, ydot, ruser; - long[] icom, iuser; - - ruser = new double[1]; - iuser = new long[1]; - - System.out.println(); - System.out.println(" D02NEF Example 2"); - System.out.println(); - - maxord = 5; - neq = NEQ2; - lcom = 40 + (maxord + 4) * neq + neq * neq; - licom = 50 + neq; - - atol = new double[(int)neq]; - com = new double[(int)lcom]; - rtol = new double[(int)neq]; - y = new double[(int)neq]; - ydot = new double[(int)neq]; - icom = new long[(int)licom]; - - ijac = 1; - itol = 1; - rtol[0] = 0.0; - atol[0] = 1.0E-8; - ydot[0] = 0.0; - - // String length = 8 - jceval = (ijac == 1) ? "Analytic" : "Numeric "; - - // Initialize the problem, specifying that the Jacobian is to be - // evaluated analytically using the provided routine jac. - y[0] = 2.0; - hmax = 0.0; - h0 = 0.0; - t = 0.0; - tout = 0.2; - - ifail = 0; - d02mw.eval( - neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail - ); - ifail = d02mw.getIFAIL(); - - // Use the iuser array to pass whether numerical or analytic Jacobian - // is to be used. - iuser[0] = ijac; - - System.out.printf(" t "); - for (int i = 1; i <= neq; i++) { - System.out.printf(" y(%1d) ", i); - } - System.out.println(); - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - itask = 0; - - for (int j = 0; j < 5; j++) { - ifail = -1; - d02ne.eval( - neq, t, tout, y, ydot, rtol, atol, itask, res2, jac2, icom, - com, lcom, iuser, ruser, ifail - ); - itask = d02ne.getITASK(); - ifail = d02ne.getIFAIL(); - t = d02ne.getT(); - - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - if (ifail != 0) { - System.out.printf( - " ** D02NEF returned with IFAIL = %5d\n", ifail - ); - break; - } - - tout += 0.2; - d02mc.eval(icom); - - } - - System.out.println(); - System.out.printf( - " The integrator completed task, ITASK = %4d\n", itask - ); - - } - - /** - * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based - * Java index. - * - * Fortran array definition: - * a(dimX, *) - * - * Conversion: - * a(x, y) --> A[result] - */ - private static long getIdx(long x, long y, long dimX) { - return ((y-1) * dimX) + (x-1); - } - - public static class RES1 extends D02NE.Abstract_D02NE_RES { - - public void eval() { - - this.R[0] = -(ALPHA * this.Y[0]) + (BETA * this.Y[1] * this.Y[2]) - - this.YDOT[0]; - this.R[1] = (ALPHA * this.Y[0]) - (BETA * this.Y[1] * this.Y[2]) - - (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[1]; - this.R[2] = (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[2]; - - } - - } - - public static class JAC1 extends D02NE.Abstract_D02NE_JAC { - - private double[] myjac1( - long neq, long ml, long mu, double t, double[] y, double[] ydot, - double[] pd, double cj - ) { - - long md, ms, pd_dim1; - - pd_dim1 = (2 * ml) + mu + 1; - - // Main diagonal pdfull(i,i), i=1, neq - md = mu + ml + 1; - pd[(int)getIdx(md, 1, pd_dim1)] = -ALPHA - cj; - pd[(int)getIdx(md, 2, pd_dim1)] = (-BETA * y[2]) - (2.0 * GAMMA * y[1]) - - cj; - pd[(int)getIdx(md, 3, pd_dim1)] = -cj; - - // 1 subdiagonal pdfull(i-1,i), i=2, neq - ms = md + 1; - pd[(int)getIdx(ms, 1, pd_dim1)] = ALPHA; - pd[(int)getIdx(ms, 2, pd_dim1)] = 2.0 * GAMMA * y[1]; - - // First superdiagonal pdfull(i-1,i), i=2, neq - ms = md - 1; - pd[(int)getIdx(ms, 2, pd_dim1)] = BETA * y[2]; - pd[(int)getIdx(ms, 3, pd_dim1)] = -BETA * y[1]; - - // Second superdiagonal pdfull(i-2,i), i=3, neq - ms = md - 2; - pd[(int)getIdx(ms, 3, pd_dim1)] = BETA * y[1]; - - return pd; - - } - - public void eval() { - D02NEZ d02nez = new D02NEZ(); - long ijac, ml, mu; - - ml = this.IUSER[0]; - mu = this.IUSER[1]; - ijac = this.IUSER[2]; - - if (ijac == 1) { - myjac1( - this.NEQ, ml, mu, this.T, this.Y, this.YDOT, this.PD, - this.CJ - ); - } - else { - d02nez.eval( - this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, - this.IUSER, this.RUSER - ); - } - - } - - } - - public static class RES2 extends D02NE.Abstract_D02NE_RES { - - public void eval() { - this.R[0] = 4.0 - Math.pow(this.Y[0], 2.0) - + (this.T * 0.1E0 * Math.exp(this.Y[0])); - } - - } - - public static class JAC2 extends D02NE.Abstract_D02NE_JAC { - - private void myjac2( - long neq, double t, double[] y, double[] ydot, double[] pd, - double cj - ) { - - pd[0] = -(2.0 * y[0]) + (0.1E0 * t * y[0] * Math.exp(y[0])); - - } - - public void eval() { - D02NEZ d02nez = new D02NEZ(); - long ijac; - - ijac = this.IUSER[0]; - - if (ijac == 1) { - myjac2(this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ); - } - else { - d02nez.eval( - this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, - this.IUSER, this.RUSER - ); - } - - } - - } - -} diff --git a/simple_examples/source/int64/DTFSMJE.java b/simple_examples/source/int64/DTFSMJE.java deleted file mode 100644 index d1feabb..0000000 --- a/simple_examples/source/int64/DTFSMJE.java +++ /dev/null @@ -1,61 +0,0 @@ -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.F01.DTRTTF; -import com.nag.routines.F06.DTFSM; -import com.nag.routines.X04.X04CA; -import com.nag.routines.Routine; - -/** - * Adapted from f06wbfe.f90 - * - * @author joed - * - */ -public class DTFSMJE { - - public static void main(String[] args) throws NAGBadIntegerException { - - double alpha = 4.21; - long ifail = 0, info = 0, m = 6, n = 4; - String side = "L", trans = "N", transr = "N", uplo = "L"; - - // Init NAG Java - DTFSM dtfsm = new DTFSM(); - DTRTTF dtrttf = new DTRTTF(); - X04CA x04ca = new X04CA(); - Routine.init(); - - System.out.println(" DTFSMJ Example Program Results\n"); - - // Set lower triangle of matrix A - double[] a = new double[(int)(m*m)]; - for (int i=0; i=i) ? j+1 : 0; - } - } - - // Set matrix B - double[] b = new double[] { - 3.22, 1.64, 1.87, 5.20, 1.83, -1.10, - 1.37, 1.80, 2.87, -2.99, -2.71, -0.63, - 2.31, 0.38, 2.02, -0.91, -2.81, -0.50, - 0.29, -1.52, -0.80, -3.87, -1.13, 0.81 - }; - - // Convert A to rectangular full packed storage in ar - double[] ar = new double[((int)(m*(m+1)))/2]; - info = 0; - dtrttf.eval(transr, uplo, m, a, m, ar, info); - info = dtrttf.getINFO(); - - // Perform the matrix-matrix operation - dtfsm.eval(transr, side, uplo, trans, "N", m, n, alpha, ar, b, m); - - // Print result - ifail = 0; - x04ca.eval("General", " ", m, n, b, m, "The Solution", ifail); - ifail = x04ca.getIFAIL(); - - } - -} diff --git a/simple_examples/source/int64/E01DAJE.java b/simple_examples/source/int64/E01DAJE.java deleted file mode 100644 index 89a89e4..0000000 --- a/simple_examples/source/int64/E01DAJE.java +++ /dev/null @@ -1,177 +0,0 @@ -/* - * E01DA Example Program - NAG Copyright 2016 - */ - import com.nag.exceptions.NAGBadIntegerException; - import com.nag.routines.E01.E01DA; - import com.nag.routines.E02.E02DF; - import com.nag.routines.Routine; - -public class E01DAJE { - - public static void main (String[] args)throws NAGBadIntegerException { - Routine.init(); - - int mx = 7, my = 6, ifail = -1; - double[] x = new double[mx]; - double[] y = new double[my]; - double[] f = new double[mx*my]; - double[] lamda = new double[mx+4]; - double[] mu = new double[my+4]; - double[] c = new double[mx*my]; - double[] wrk = new double[(mx+6)*(my+6)]; - - int nx = 6, ny = 6, px = 0, py = 0; - double xlo = 1.0, xhi = 2.0; - double ylo = 0.0, yhi = 1.0; - - E01DA e01da = new E01DA(); - - // Input X, Y and function values on X-Y grid - x[0] = 1.00; - x[1] = 1.10; - x[2] = 1.30; - x[3] = 1.50; - x[4] = 1.60; - x[5] = 1.80; - x[6] = 2.00; - - y[0] = 0.00; - y[1] = 0.10; - y[2] = 0.40; - y[3] = 0.70; - y[4] = 0.90; - y[5] = 1.00; - - // On entry: F[my*(q-1)+r-1] must contain f(q,r), for q=1,2,...,mx - // and r=1,2,...,my. - f[0] = 1.00; - f[1] = 1.10; - f[2] = 1.40; - f[3] = 1.70; - f[4] = 1.90; - f[5] = 2.00; - f[6] = 1.21; - f[7] = 1.31; - f[8] = 1.61; - f[9] = 1.91; - f[10] = 2.11; - f[11] = 2.21; - f[12] = 1.69; - f[13] = 1.79; - f[14] = 2.09; - f[15] = 2.39; - f[16] = 2.59; - f[17] = 2.69; - f[18] = 2.25; - f[19] = 2.35; - f[20] = 2.65; - f[21] = 2.95; - f[22] = 3.15; - f[23] = 3.25; - f[24] = 2.56; - f[25] = 2.66; - f[26] = 2.96; - f[27] = 3.26; - f[28] = 3.46; - f[29] = 3.56; - f[30] = 3.24; - f[31] = 3.34; - f[32] = 3.64; - f[33] = 3.94; - f[34] = 4.14; - f[35] = 4.24; - f[36] = 4.00; - f[37] = 4.10; - f[38] = 4.40; - f[39] = 4.70; - f[40] = 4.90; - f[41] = 5.00; - - System.out.printf(" E01DAJ Example Program Results\n\n"); - e01da.eval(mx, my, x, y, f, px, py, lamda, mu, c, wrk, ifail); - - ifail = (int)e01da.getIFAIL(); - switch (ifail) - { - case 0: - System.out.printf(" I Knot LAMDA(I) J Knot MU(j)\n"); - for (int i = 3; i <= Math.max(mx,my); ++i) - { - if (i <= mx) - System.out.printf("%4d %9.4f", i+1, lamda[i]); - else - System.out.printf(" "); - if (i <= my) - System.out.printf("%8d %9.4f\n", i+1, mu[i]); - else - System.out.printf("\n"); - } - System.out.printf("\n The B-Spline coefficients:\n"); - for (int i = 0; i < mx*my; ++i) - { - System.out.printf("%9.4f", c[i]); - if ((i+1)%8 == 0) - System.out.printf("\n"); - } - System.out.printf("\n"); - break; - default: - System.out.printf("\n Error detected by E01DA: %d\n", ifail); - } - - /* Evaluate the spline on a regular rectangular grid at nx*ny points - over the domain [xlo,xhi] x [ylo,yhi]. */ - px = (int)e01da.getPX(); - py = (int)e01da.getPY(); - int liwrk; - int lwrk = Math.min(4*nx+px,4*ny+py); - if (4*nx+px>4*ny+py) - liwrk = ny + py - 4; - else - liwrk = nx + px - 4; - double tx[] = new double[nx]; - double ty[] = new double[ny]; - double ff[] = new double[nx*ny]; - wrk = new double[lwrk]; - long iwrk[] = new long[liwrk]; - - /* Generate nx/ny equispaced x/y co-ordinates */ - double step = (xhi-xlo)/(nx-1); - tx[0] = xlo; - for (int i = 1; i 0) ? datafile.n : 1; - - // This particular example problem is of type QP2 with H stored explicitly, - // so we allocate CVEC(N) and H(LDH,N), and define LDH and LWORK as below - ldh = datafile.n; - - if (datafile.nclin > 0) { - lwork = 2 * datafile.n * datafile.n + 8 * datafile.n + 5 * datafile.nclin; - } - else { - lwork = datafile.n * datafile.n + 8 * datafile.n; - } - - istate = new long[(int)(datafile.n + datafile.nclin)]; - ax = new double[(int)Math.max(1, datafile.nclin)]; - iwork = new long[(int)liwork]; - // h, bl, bu, cvec, x, a: already read from data file - clamda = new double[(int)(datafile.n + datafile.nclin)]; - work = new double[(int)lwork]; - - // Init routine - E04WB e04wb = new E04WB(); - long lcwsav = 1, liwsav = 610, llwsav = 120, lrwsav = 475; - String[] cwsav = new String[(int)lcwsav]; - cwsav[0] = " "; - long[] iwsav = new long[(int)liwsav]; - boolean[] lwsav = new boolean[(int)llwsav]; - double[] rwsav = new double[(int)lrwsav]; - ifail = 0; - e04wb.eval("E04NFA", cwsav, lcwsav, lwsav, llwsav, iwsav, liwsav, rwsav, lrwsav, ifail); - - // Set print level to match E04NFF example output - E04NH e04nh = new E04NH(); - int inform = 0; - e04nh.eval("Print Level = 10", lwsav, iwsav, rwsav, inform); - - // Solve the problem - E04NF e04nf = new E04NF(); - double[] ruser = new double[1]; - long[] iuser = new long[1]; - iter = 0; - obj = Double.NaN; - ifail = 0; - e04nf.eval(datafile.n, datafile.nclin, datafile.a, datafile.lda, datafile.bl, - datafile.bu, datafile.cvec, datafile.h, datafile.ldh, new QPHESS(), istate, - datafile.x, iter, obj, ax, clamda, iwork, liwork, work, lwork, - iuser, ruser, lwsav, iwsav, rwsav, ifail); - - ifail = e04nf.getIFAIL(); - - } catch (Exception ex) { - Logger.getLogger(E04NFJE.class.getName()).log(Level.SEVERE, null, ex); - } - - } - - /** Using E54NFU as a default */ - public static class QPHESS extends E54NFU implements E04NF.E04NF_QPHESS { - - public void eval() { - - super.eval(); - - } - - } - - public static class DataFile { - - public String filename; - public long n, nclin, lda, sda, ldh; - public double[] cvec, a, bl, bu, x, h; - - public DataFile(String filename) { - this.filename = filename; - } - - public void read() throws FileNotFoundException, IOException { - BufferedReader dataIn = new BufferedReader(new FileReader(filename)); - String line = dataIn.readLine(); // skipping header - line = dataIn.readLine().trim(); - String[] lines = line.split(":");//removing comments - String[] dataLine = lines[0].split("\\s+"); - if (dataLine.length != 2) { - System.err.println("Something went wrong when reading the data file - can't read n and nclin!"); - System.exit(1); - } - n = Integer.parseInt(dataLine[0]); - nclin = Integer.parseInt(dataLine[1]); - - lda = Math.max(1, nclin); - - if (nclin > 0) { - sda = n; - } else { - sda = 1; - - } - ldh = n; - - cvec = new double[(int)n]; - a = new double[(int)(lda * sda)]; - bl = new double[(int)(n + nclin)]; - bu = new double[(int)(n + nclin)]; - x = new double[(int)n]; - h = new double[(int)(ldh * n)]; - - //reading cvec - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n) { - System.err.println("Something went wrong when reading the data file - not enought or too many data for cvec"); - System.exit(1); - } - - for (int i = 0; i < n; ++i) { - cvec[i] = Double.parseDouble(dataLine[i].trim().replaceAll("D", "E")); - } - - //reading a - for (int i = 0; i < lda; ++i) { - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != sda) { - System.err.println("Something went wrong when reading the data file - not enought or too many data for a"); - System.exit(1); - } - for (int j = 0; j < sda; ++j) { - a[(int)(i + j * lda)] = Double.parseDouble(dataLine[j].trim().replaceAll("D", "E")); - } - } - - //reading bl - //it's on two lines in the data file, so we need to merge them - line = dataIn.readLine().trim().split(":")[0].trim() + " " + dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n + nclin) { - System.err.println("Something went wrong when reading the data file - not enought or too many data for bl"); - System.exit(1); - } - for (int i = 0; i < n + nclin; ++i) { - bl[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); - } - - //reading bu - //it's on two lines in the data file, so we need to merge them - line = dataIn.readLine().trim().split(":")[0].trim() + " " + dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n + nclin) { - System.err.println("Something went wrong when reading the data file - not enought or too many data for bu"); - System.exit(1); - } - for (int i = 0; i < n + nclin; ++i) { - bu[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); - } - - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n) { - System.err.println("Something went wrong when reading the data file - not enought or too many data for x"); - System.exit(1); - } - for (int i = 0; i < n; ++i) { - x[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); - } - - for (int i = 0; i < ldh; ++i) { - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n) { - System.err.println("Something went wrong when reading the data file - not enought or too many data for h at line " + i); - System.exit(1); - } - for (int j = 0; j < n; ++j) { - h[(int)(i + j * ldh)] = Double.parseDouble(dataLine[j].replaceAll("D", "E")); - } - } - - - } - } - -} diff --git a/simple_examples/source/int64/E04UCJE.java b/simple_examples/source/int64/E04UCJE.java deleted file mode 100644 index 20ad573..0000000 --- a/simple_examples/source/int64/E04UCJE.java +++ /dev/null @@ -1,207 +0,0 @@ -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.E04.E04UC; -import com.nag.routines.E04.E04WB; -import com.nag.routines.F06.DGEMV; -import com.nag.routines.Routine; -import java.util.Arrays; - -/** - * @author joed - */ -public class E04UCJE { - - public static final double ONE = 1.0, ZERO = 0.0; - public static final long INC1 = 1, LCWSAV = 1, LIWSAV = 610, LLWSAV = 120, LRWSAV = 475; - public static CONFUN confun = new CONFUN(); - public static OBJFUN objfun = new OBJFUN(); - - public static void main(String[] args) throws NAGBadIntegerException { - /* Local Scalars */ - double objf; - long i, ifail, iter, j, lda, ldcj, ldr, liwork, lwork, n, nclin, ncnln, sda, sdcjac; - /* Local Arrays */ - double[] a, bl, bu, c, cjac, clamda, objgrd, r, work, x; - double[] ruser = new double[1], rwsav = new double[(int)LRWSAV]; - long[] istate, iwork; - long[] iuser = new long[1], iwsav = new long[(int)LIWSAV]; - boolean[] lwsav = new boolean[(int)LLWSAV]; - String[] cwsav = new String[(int)LCWSAV]; - Arrays.fill(cwsav, " "); - - System.out.println(" E04UCJ Example Program Results"); - Routine.init(); - - /* Set scalars */ - n = 4; - nclin = 1; - ncnln = 2; - liwork = 3*n + nclin + 2*ncnln; - lda = Math.max(1, nclin); - sda = (nclin > 0) ? n : 1; - ldcj = Math.max(1, ncnln); - sdcjac = (ncnln > 0) ? n : 1; - ldr = n; - - if (ncnln == 0 && nclin > 0) { - lwork = 2*n*n + 20*n + 11*nclin; - } - else if (ncnln > 0 && nclin >= 0) { - lwork = 2*n*n + n*nclin + 2*n*ncnln + 20*n + 11*nclin + 21*ncnln; - } - else { - lwork = 20*n; - } - - /* Set arrays */ - istate = new long[(int)(n + nclin + ncnln)]; - iwork = new long[(int)liwork]; - c = new double[(int)(Math.max(1, ncnln))]; - cjac = new double[(int)(ldcj * sdcjac)]; - clamda = new double[(int)(n + nclin + ncnln)]; - objgrd = new double[(int)n]; - r = new double[(int)(ldr * n)]; - work = new double[(int)lwork]; - - a = new double[]{1.0, 1.0, 1.0, 1.0}; - bl = new double[]{1.0, 1.0, 1.0, 1.0, -1.0E+25, -1.0E+25, 25.0}; - bu = new double[]{5.0, 5.0, 5.0, 5.0, 20.0, 40.0, 1.0E+25}; - x = new double[]{1.0, 5.0, 5.0, 1.0}; - - /* Initialise E04UC */ - E04WB e04wb = new E04WB(); - ifail = 0; - e04wb.eval("E04UCA", cwsav, LCWSAV, lwsav, LLWSAV, iwsav, LIWSAV, rwsav, LRWSAV, ifail); - - /* Solve the problem */ - E04UC e04uc = new E04UC(); - iter = 0; - objf = 0.0; - ifail = -1; - e04uc.eval(n, nclin, ncnln, lda, ldcj, ldr, a, bl, bu, confun, objfun, iter, istate, c, - cjac, clamda, objf, objgrd, r, x, iwork, liwork, work, lwork, iuser, ruser, - lwsav, iwsav, rwsav, ifail); - iter = e04uc.getITER(); - objf = e04uc.getOBJF(); - ifail = e04uc.getIFAIL(); - - if ((0 >= ifail && ifail <= 6) || ifail == 8) { - System.out.println(); - System.out.println(" Varbl Istate Value Lagr Mult"); - System.out.println(); - - for (i = 0; i < n; i++) { - System.out.printf(" V %3d %3d %13.6G %13.4G\n", i+1, istate[(int)i], x[(int)i], clamda[(int)i]); - } - - if (nclin > 0) { - - /* A*x --> work. - * The NAG name equivalent of DGEMV is F06PA */ - DGEMV dgemv = new DGEMV(); - dgemv.eval("N", nclin, n, ONE, a, lda, x, INC1, ZERO, work, INC1); - - System.out.println(); - System.out.println(); - System.out.println(" L Con Istate Value Lagr Mult"); - System.out.println(); - - for (i = n; i < n+nclin; i++) { - j = i - n; - System.out.printf(" L %3d %3d %13.6G %13.4G\n", j+1, istate[(int)i], work[(int)j], clamda[(int)i]); - } - - } - - if (ncnln > 0) { - System.out.println(); - System.out.println(); - System.out.println(" N Con Istate Value Lagr Mult"); - System.out.println(); - - for (i = n+nclin; i < n+nclin+ncnln; i++) { - j = i - n - nclin; - System.out.printf(" N %3d %3d %13.6G %13.4G\n", j+1, istate[(int)i], c[(int)j], clamda[(int)i]); - } - - } - - System.out.println(); - System.out.println(); - System.out.printf(" Final objective value = %11.7G\n", objf); - - } - - } - - /** Routine to evaluate objective function and its 1st derivatives */ - public static class OBJFUN extends E04UC.Abstract_E04UC_OBJFUN { - - public void eval() { - - if (MODE == 0 || MODE == 2) { - OBJF = X[0] * X[3] * (X[0]+X[1]+X[2]) + X[2]; - } - - if (MODE == 1 || MODE == 2) { - OBJGRD[0] = X[3] * (X[0]+X[0]+X[1]+X[2]); - OBJGRD[1] = X[0] * X[3]; - OBJGRD[2] = X[0] * X[3] + ONE; - OBJGRD[3] = X[0] * (X[0]+X[1]+X[2]); - } - - } - - } - - /** Routine to evaluate the nonlinear constraints and their 1st derivatives */ - public static class CONFUN extends E04UC.Abstract_E04UC_CONFUN { - - public void eval() { - - if (NSTATE == 1) { - - /* First call to CONFUN. Set all Jacobian elements to zero. - * Note that this will only work when 'Derivative Level = 3' - * (the default; see Section 11.2). */ - - for (int i = 0; i < CJAC.length; ++i) { - CJAC[i] = 0; - } - - } - - if (NEEDC[0] > 0) { - - if (MODE == 0 || MODE == 2) { - C[0] = X[0]*X[0] + X[1]*X[1] + X[2]*X[2] + X[3]*X[3]; - } - - if (MODE == 1 || MODE == 2) { - CJAC[0] = X[0] + X[0]; - CJAC[(int)LDCJ] = X[1] + X[1]; - CJAC[(int)(2*LDCJ)] = X[2] + X[2]; - CJAC[(int)(3*LDCJ)] = X[3] + X[3]; - } - - } - - if (NEEDC[1]>0) { - - if (MODE == 0 || MODE == 2) { - C[1] = X[0]*X[1]*X[2]*X[3]; - } - - if (MODE == 1 || MODE == 2) { - CJAC[1] = X[1]*X[2]*X[3]; - CJAC[(int)(1+LDCJ)] = X[0]*X[2]*X[3]; - CJAC[(int)(1+2*LDCJ)] = X[0]*X[1]*X[3]; - CJAC[(int)(1+3*LDCJ)] = X[0]*X[1]*X[2]; - } - - } - - } - - } - -} diff --git a/simple_examples/source/int64/F02EKJE.java b/simple_examples/source/int64/F02EKJE.java deleted file mode 100644 index d8f152c..0000000 --- a/simple_examples/source/int64/F02EKJE.java +++ /dev/null @@ -1,230 +0,0 @@ -emacimport java.util.Arrays; - -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.F02.F02EK; -import com.nag.routines.F12.F12AD; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.Routine; -import com.nag.types.*; - - -/** - * @author joed - */ -public class F02EKJE { - - public static MYMONIT mymonit = new MYMONIT(); - public static MYOPTION myoption = new MYOPTION(); - - public static void main(String[] args) throws NAGBadIntegerException { - F02EK f02ek = new F02EK(); - X02AJ x02aj = new X02AJ(); - double h, rho, s, sigma; - int ifail, imon, k, ldv, maxit, mode, n, nconv, ncv, nev, nnz, nx, - prtlvl; - NAGComplex complex = new NAGComplex(); - double[] a, resid, v, ruser = new double[1]; - int[] icolzp, irowix, iuser = new int[4]; - NAGComplex[] w; - - // Initialise wrapper library - Routine.init(); - Routine.setComplex(complex); - - System.out.println(" F02EKJ Example Program Results"); - System.out.println(); - - nx = 10; - nev = 4; - ncv = 20; - rho = 10.0; - sigma = 5.5; - - n = nx * nx; - nnz = 3*n - 2; - ldv = n; - - resid = new double[ncv]; - a = new double[nnz]; - icolzp = new int[n + 1]; - irowix = new int[nnz]; - w = (NAGComplex[]) complex.getArrayOfInstances(ncv); - v = new double[ldv * ncv]; - - // Construct A in compressed column storage (CCS) format where: - // A{ i , i } = 2 + i - // A{i+1, i } = 3 - // A{ i , i+1} = rho/(2n+2) - 1 - - h = 1.0 / (double)(n+1); - s = (rho * h / 2.0) - 1.0; - - a[0] = 2.0 + 1.0; - a[1] = 3.0; - icolzp[0] = 1; - irowix[0] = 1; - irowix[1] = 2; - k = 3; - - for (int i = 1; i < n - 1; i++) { - icolzp[i] = k; - irowix[k - 1] = i; - irowix[k] = i + 1; - irowix[k + 1] = i + 2; - a[k - 1] = s; - a[k] = 2.0 + (double)(i + 1); - a[k + 1] = 3.0; - k += 3; - } - - icolzp[n - 1] = k; - icolzp[n] = k + 2; - irowix[k - 1] = n - 1; - irowix[k] = n; - a[k - 1] = s; - a[k] = 2.0 + (double)(n); - - // Set some options via iuser array and return routine argument OPTION - // iuser[0] = print level - // iuser[1] = iteration limit - // iuser[2] > 0 means shifted-invert mode - // iuser[3] > 0 means print monitoring info - - prtlvl = 0; - maxit = 500; - mode = 1; - imon = 1; - - if (prtlvl > 0) { - imon = 0; - } - - iuser[0] = prtlvl; - iuser[1] = maxit; - iuser[2] = mode; - iuser[3] = imon; - - nconv = 0; // placeholder value, nconv is output only - ifail = 0; // hard exit on error - - f02ek.eval( - n, nnz, a, icolzp, irowix, nev, ncv, sigma, mymonit, myoption, - nconv, w, v, ldv, resid, iuser, ruser, ifail - ); - ifail = f02ek.getIFAIL(); - nconv = f02ek.getNCONV(); - - System.out.println(); - System.out.printf( - " The %4d Ritz values of closest to %13.5E are:\n", nconv, sigma - ); - - // Get machine precision - double mp = x02aj.eval(); - - for (int i = 0; i < nconv; i++) { - if (resid[i] > (double)(100*n*mp)) { - System.out.printf( - " %8d ( %13.5E , %13.5E ) %13.5E\n", - i + 1, w[i], resid[i] - ); - } - else { - System.out.printf( - " %8d ( %13.5E , %13.5E )\n", - i + 1, w[i].getRe(), w[i].getIm() - ); - } - } - - } - - public static class MYOPTION extends F02EK.Abstract_F02EK_OPTION { - - public void eval() { - F12AD f12ad = new F12AD(); - int ifail1; - String rec = " "; - - this.ISTAT = 0; - - if (this.IUSER[0] > 0) { - System.out.printf("Print Level=%5d\n", this.IUSER[0]); - ifail1 = 1; - f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[1] > 100) { - System.out.printf("Iteration Limit=%5d\n", this.IUSER[1]); - ifail1 = 1; - f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[2] > 0) { - ifail1 = 1; - f12ad.eval ( - "Shifted Inverse Real ", this.ICOMM, this.COMM, ifail1 - ); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - } - - } - - public static class MYMONIT extends F02EK.Abstract_F02EK_MONIT { - - public NAGComplexInterface[] getW(){ - return this.W; - } - - public void eval() { - - if (this.IUSER[3] > 0) { - - if (this.NITER == 1 && this.IUSER[2] > 0) { - System.out.printf( - " Arnoldi basis vectors used:%4d\n", this.NCV - ); - System.out.printf( - " The following Ritz values (mu) are related to the\n" - + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" - ); - } - - System.out.println(); - System.out.printf(" Iteration number %4d\n", this.NITER); - System.out.printf( - " Ritz values converged so far (%4d) and their Ritz" - + " estimates:\n", this.NCONV - ); - - for (int i = 0; i < this.NCONV; i++) { - System.out.printf( - " %4d (%13.5E,%13.5E) %13.5E\n", - i + 1, this.W[i].getRe(), this.W[i].getIm(), - this.RZEST[i] - ); - } - - System.out.printf(" Next (unconverged) Ritz value:\n"); - - System.out.printf( - " %4d (%13.5E,%13.5E)\n", - this.NCONV + 1, this.W[NCONV].getRe(), this.W[NCONV].getIm() - ); - - } - - this.ISTAT = 0; - - } - - } - -} diff --git a/simple_examples/source/withdrawn/D02TKJE.java b/simple_examples/source/withdrawn/D02TKJE.java deleted file mode 100644 index 16e9e9b..0000000 --- a/simple_examples/source/withdrawn/D02TKJE.java +++ /dev/null @@ -1,290 +0,0 @@ -import java.util.Arrays; - -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.D02.D02TK; -import com.nag.routines.D02.D02TV; -import com.nag.routines.D02.D02TX; -import com.nag.routines.D02.D02TY; -import com.nag.routines.D02.D02TZ; -import com.nag.routines.Routine; - - -/** - * @author joed - */ -public class D02TKJE { - - public static final int MMAX = 3, NEQ = 3, NLBC = 3, NRBC = 3; - - public static double omega, sqrofr; - public static int[] m = {1, 3, 2}; - - public static FFUN ffun = new FFUN(); - public static FJAC fjac = new FJAC(); - public static GAFUN gafun = new GAFUN(); - public static GAJAC gajac = new GAJAC(); - public static GBFUN gbfun = new GBFUN(); - public static GBJAC gbjac = new GBJAC(); - public static GUESS guess = new GUESS(); - - public static void main(String[] args) throws NAGBadIntegerException { - D02TK d02tk = new D02TK(); - D02TV d02tv = new D02TV(); - D02TX d02tx = new D02TX(); - D02TY d02ty = new D02TY(); - D02TZ d02tz = new D02TZ(); - double dx, ermx, r; - int iermx, ifail, ijermx, licomm, lrcomm, mxmesh, ncol, ncont, nmesh; - double[] mesh, tol, work, y; - int[] icomm, ipmesh; - - // Initialise wrappers - Routine.init(); - - System.out.println(" D02TKJ Example Program Results"); - System.out.println(); - - // Values from d02tkfe.d - ncol = 7; - nmesh = 11; - mxmesh = 51; - - licomm = 23 + NEQ + mxmesh; - lrcomm = mxmesh * (109 * (int)Math.pow(NEQ, 2) + 78 * NEQ + 7); - - mesh = new double[mxmesh]; - tol = new double[NEQ]; - work = new double[lrcomm]; - y = new double[NEQ * MMAX]; - ipmesh = new int[mxmesh]; - icomm = new int[licomm]; - - // Values from d02tkfe.d - omega = 1.0; - Arrays.fill(tol, 1.0E-4); - - dx = 1.0 / ((double) nmesh - 1); - - mesh[0] = 0.0; - for (int i = 1; i < nmesh - 1; i++) { - mesh[i] = mesh[i - 1] + dx; - } - mesh[nmesh - 1] = 1.0; - - ipmesh[0] = 1; - Arrays.fill(ipmesh, 1, nmesh - 1, 2); - ipmesh[nmesh - 1] = 1; - - // Initial integrator for given problem. - ifail = 0; - d02tv.eval( - NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, work, - lrcomm, icomm, licomm, ifail - ); - - // Values from d02tkfe.d - ncont = 3; - r = 1.0E6; - - sqrofr = Math.sqrt(r); - - ermx = 0.0; - iermx = 0; - ijermx = 0; - - for (int j = 0; j < ncont; j++) { - System.out.printf("\n Tolerance = %8.1E R = %10.3E\n", tol[0], r); - - // Solve problem - ifail = -1; - d02tk.eval( - ffun, fjac, gafun, gbfun, gajac, gbjac, guess, work, icomm, - ifail - ); - ifail = d02tk.getIFAIL(); - if (ifail == 1) break; - - // Extract mesh - ifail = -1; - d02tz.eval( - mxmesh, nmesh, mesh, ipmesh, ermx, iermx, ijermx, work, icomm, - ifail - ); - nmesh = d02tz.getNMESH(); - iermx = d02tz.getIERMX(); - ijermx = d02tz.getIJERMX(); - ermx = d02tz.getERMX(); - ifail = d02tz.getIFAIL(); - if (ifail == 1) break; - - // Print mesh, error stats - System.out.printf( - "\n" + - " Used a mesh of %4d points\n" + - " Maximum error = %10.2E in interval %4d for component %4d\n" + - "\n", - nmesh, ermx, iermx, ijermx - ); - System.out.printf("\n Mesh points:\n"); - for (int i = 0; i < nmesh; i++) { - System.out.printf("%4d(%1d)%10.3E", i+1, ipmesh[i], mesh[i]); - if ((i+1) % 4 == 0) System.out.printf("\n"); - } - System.out.printf("\n"); - - // Print solution components on mesh - System.out.printf("\n x f f\' g\n"); - for (int i = 0; i < nmesh; i++) { - ifail = 0; - d02ty.eval(mesh[i], y, NEQ, MMAX, work, icomm, ifail); - ifail = d02ty.getIFAIL(); - if (ifail != 0) { - System.err.println( - "D02TY failed with error code " + ifail - ); - break; - } - System.out.printf( - " %8.3f %9.4f%9.4f%9.4f\n", mesh[i], y[getIdx(1, 0, NEQ)], - y[getIdx(2, 0, NEQ)], y[getIdx(3, 0, NEQ)] - ); - } - - if (j == ncont - 1) break; - - // Modify continuation parameter - r = 100.0 * r; - sqrofr = Math.sqrt(r); - - // Select mesh for continuation - Arrays.fill(ipmesh, 1, nmesh - 1, 2); - - // Call continuation primer routine - ifail = 0; - d02tx.eval(mxmesh, nmesh, mesh, ipmesh, work, icomm, ifail); - mxmesh = d02tx.getMXMESH(); - nmesh = d02tx.getNMESH(); - ifail = d02tx.getIFAIL(); - if (ifail != 0) { - System.err.println("D02TX failed with error code " + ifail); - } - - } - - } - - /** - * Converts a 2D Fortran index to the 1D index for its corresponding Java - * array. Assumes y is already zero-based. - * - * Fortran array definition: - * a(dimX, 0:*) - * - * Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return (y * dimX) + (x-1); - } - - /** - * Converts a 3D Fortran index to the 1D index for its corresponding Java - * array. Assumes z is already zero-based. - * - * Fortran array definition: - * a(dimX, dimY, 0:*) - * - * Conversion: - * a(x, y, z) --> A[result] - */ - private static int getIdx(int x, int y, int z, int dimX, int dimY) { - return (z * dimY * dimX) + ((y-1) * dimX) + (x-1); - } - - public static class FFUN extends D02TK.Abstract_D02TK_FFUN { - - public void eval() { - F[0] = Y[getIdx(2, 0, NEQ)]; - F[1] = -((Y[getIdx(1, 0, NEQ)] * Y[getIdx(2, 2, NEQ)]) - + (Y[getIdx(3, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; - F[2] = ((Y[getIdx(2, 0, NEQ)] * Y[getIdx(3, 0, NEQ)]) - - (Y[getIdx(1, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; - } - - } - - public static class FJAC extends D02TK.Abstract_D02TK_FJAC { - - public void eval() { - DFDY[getIdx(1, 2, 0, NEQ, NEQ)] = 1.0; - DFDY[getIdx(2, 1, 0, NEQ, NEQ)] = -Y[getIdx(2, 2, NEQ)] * sqrofr; - DFDY[getIdx(2, 2, 2, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; - DFDY[getIdx(2, 3, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; - DFDY[getIdx(2, 3, 1, NEQ, NEQ)] = -Y[getIdx(3, 0, NEQ)] * sqrofr; - DFDY[getIdx(3, 1, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; - DFDY[getIdx(3, 2, 0, NEQ, NEQ)] = Y[getIdx(3, 0, NEQ)] * sqrofr; - DFDY[getIdx(3, 3, 0, NEQ, NEQ)] = Y[getIdx(2, 0, NEQ)] * sqrofr; - DFDY[getIdx(3, 3, 1, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; - } - - } - - public static class GAFUN extends D02TK.Abstract_D02TK_GAFUN { - - public void eval() { - GA[0] = YA[getIdx(1, 0, NEQ)]; - GA[1] = YA[getIdx(2, 0, NEQ)]; - GA[2] = YA[getIdx(3, 0, NEQ)] - omega; - } - - } - - public static class GBFUN extends D02TK.Abstract_D02TK_GBFUN { - - public void eval() { - GB[0] = YB[getIdx(1, 0, NEQ)]; - GB[1] = YB[getIdx(2, 0, NEQ)]; - GB[2] = YB[getIdx(3, 0, NEQ)] + omega; - } - - } - - public static class GAJAC extends D02TK.Abstract_D02TK_GAJAC { - - public void eval() { - DGADY[getIdx(1, 1, 0, NLBC, NEQ)] = 1.0; - DGADY[getIdx(2, 2, 0, NLBC, NEQ)] = 1.0; - DGADY[getIdx(3, 3, 0, NLBC, NEQ)] = 1.0; - } - - } - - public static class GBJAC extends D02TK.Abstract_D02TK_GBJAC { - - public void eval() { - DGBDY[getIdx(1, 1, 0, NRBC, NEQ)] = 1.0; - DGBDY[getIdx(2, 2, 0, NRBC, NEQ)] = 1.0; - DGBDY[getIdx(3, 3, 0, NRBC, NEQ)] = 1.0; - } - - } - - public static class GUESS extends D02TK.Abstract_D02TK_GUESS { - - public void eval() { - Y[getIdx(1, 0, NEQ)] = -(X - 0.5) * Math.pow(X * (X - 1.0), 2.0); - Y[getIdx(2, 0, NEQ)] = -X * (X - 1.0) - * (5.0 * X * (X - 1.0) + 1.0); - Y[getIdx(2, 1, NEQ)] = -(2.0 * X - 1.0) - * (10.0 * X * (X - 1.0) + 1.0); - Y[getIdx(2, 2, NEQ)] = -12.0 * (5.0 * X * (X - 1.0) + 1.0); - Y[getIdx(3, 0, NEQ)] = -8.0 * omega * Math.pow(X - 0.5, 3.0); - Y[getIdx(3, 1, NEQ)] = -24.0 * omega * Math.pow(X - 0.5, 2.0); - DYM[0] = Y[getIdx(2, 0, NEQ)]; - DYM[1] = -120.0 * (X - 0.5); - DYM[2] = -56.0 * omega * (X - 0.5); - } - - } - -} diff --git a/simple_examples/withdrawn/D02TKJE.java b/simple_examples/withdrawn/D02TKJE.java deleted file mode 100644 index 16e9e9b..0000000 --- a/simple_examples/withdrawn/D02TKJE.java +++ /dev/null @@ -1,290 +0,0 @@ -import java.util.Arrays; - -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.D02.D02TK; -import com.nag.routines.D02.D02TV; -import com.nag.routines.D02.D02TX; -import com.nag.routines.D02.D02TY; -import com.nag.routines.D02.D02TZ; -import com.nag.routines.Routine; - - -/** - * @author joed - */ -public class D02TKJE { - - public static final int MMAX = 3, NEQ = 3, NLBC = 3, NRBC = 3; - - public static double omega, sqrofr; - public static int[] m = {1, 3, 2}; - - public static FFUN ffun = new FFUN(); - public static FJAC fjac = new FJAC(); - public static GAFUN gafun = new GAFUN(); - public static GAJAC gajac = new GAJAC(); - public static GBFUN gbfun = new GBFUN(); - public static GBJAC gbjac = new GBJAC(); - public static GUESS guess = new GUESS(); - - public static void main(String[] args) throws NAGBadIntegerException { - D02TK d02tk = new D02TK(); - D02TV d02tv = new D02TV(); - D02TX d02tx = new D02TX(); - D02TY d02ty = new D02TY(); - D02TZ d02tz = new D02TZ(); - double dx, ermx, r; - int iermx, ifail, ijermx, licomm, lrcomm, mxmesh, ncol, ncont, nmesh; - double[] mesh, tol, work, y; - int[] icomm, ipmesh; - - // Initialise wrappers - Routine.init(); - - System.out.println(" D02TKJ Example Program Results"); - System.out.println(); - - // Values from d02tkfe.d - ncol = 7; - nmesh = 11; - mxmesh = 51; - - licomm = 23 + NEQ + mxmesh; - lrcomm = mxmesh * (109 * (int)Math.pow(NEQ, 2) + 78 * NEQ + 7); - - mesh = new double[mxmesh]; - tol = new double[NEQ]; - work = new double[lrcomm]; - y = new double[NEQ * MMAX]; - ipmesh = new int[mxmesh]; - icomm = new int[licomm]; - - // Values from d02tkfe.d - omega = 1.0; - Arrays.fill(tol, 1.0E-4); - - dx = 1.0 / ((double) nmesh - 1); - - mesh[0] = 0.0; - for (int i = 1; i < nmesh - 1; i++) { - mesh[i] = mesh[i - 1] + dx; - } - mesh[nmesh - 1] = 1.0; - - ipmesh[0] = 1; - Arrays.fill(ipmesh, 1, nmesh - 1, 2); - ipmesh[nmesh - 1] = 1; - - // Initial integrator for given problem. - ifail = 0; - d02tv.eval( - NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, work, - lrcomm, icomm, licomm, ifail - ); - - // Values from d02tkfe.d - ncont = 3; - r = 1.0E6; - - sqrofr = Math.sqrt(r); - - ermx = 0.0; - iermx = 0; - ijermx = 0; - - for (int j = 0; j < ncont; j++) { - System.out.printf("\n Tolerance = %8.1E R = %10.3E\n", tol[0], r); - - // Solve problem - ifail = -1; - d02tk.eval( - ffun, fjac, gafun, gbfun, gajac, gbjac, guess, work, icomm, - ifail - ); - ifail = d02tk.getIFAIL(); - if (ifail == 1) break; - - // Extract mesh - ifail = -1; - d02tz.eval( - mxmesh, nmesh, mesh, ipmesh, ermx, iermx, ijermx, work, icomm, - ifail - ); - nmesh = d02tz.getNMESH(); - iermx = d02tz.getIERMX(); - ijermx = d02tz.getIJERMX(); - ermx = d02tz.getERMX(); - ifail = d02tz.getIFAIL(); - if (ifail == 1) break; - - // Print mesh, error stats - System.out.printf( - "\n" + - " Used a mesh of %4d points\n" + - " Maximum error = %10.2E in interval %4d for component %4d\n" + - "\n", - nmesh, ermx, iermx, ijermx - ); - System.out.printf("\n Mesh points:\n"); - for (int i = 0; i < nmesh; i++) { - System.out.printf("%4d(%1d)%10.3E", i+1, ipmesh[i], mesh[i]); - if ((i+1) % 4 == 0) System.out.printf("\n"); - } - System.out.printf("\n"); - - // Print solution components on mesh - System.out.printf("\n x f f\' g\n"); - for (int i = 0; i < nmesh; i++) { - ifail = 0; - d02ty.eval(mesh[i], y, NEQ, MMAX, work, icomm, ifail); - ifail = d02ty.getIFAIL(); - if (ifail != 0) { - System.err.println( - "D02TY failed with error code " + ifail - ); - break; - } - System.out.printf( - " %8.3f %9.4f%9.4f%9.4f\n", mesh[i], y[getIdx(1, 0, NEQ)], - y[getIdx(2, 0, NEQ)], y[getIdx(3, 0, NEQ)] - ); - } - - if (j == ncont - 1) break; - - // Modify continuation parameter - r = 100.0 * r; - sqrofr = Math.sqrt(r); - - // Select mesh for continuation - Arrays.fill(ipmesh, 1, nmesh - 1, 2); - - // Call continuation primer routine - ifail = 0; - d02tx.eval(mxmesh, nmesh, mesh, ipmesh, work, icomm, ifail); - mxmesh = d02tx.getMXMESH(); - nmesh = d02tx.getNMESH(); - ifail = d02tx.getIFAIL(); - if (ifail != 0) { - System.err.println("D02TX failed with error code " + ifail); - } - - } - - } - - /** - * Converts a 2D Fortran index to the 1D index for its corresponding Java - * array. Assumes y is already zero-based. - * - * Fortran array definition: - * a(dimX, 0:*) - * - * Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return (y * dimX) + (x-1); - } - - /** - * Converts a 3D Fortran index to the 1D index for its corresponding Java - * array. Assumes z is already zero-based. - * - * Fortran array definition: - * a(dimX, dimY, 0:*) - * - * Conversion: - * a(x, y, z) --> A[result] - */ - private static int getIdx(int x, int y, int z, int dimX, int dimY) { - return (z * dimY * dimX) + ((y-1) * dimX) + (x-1); - } - - public static class FFUN extends D02TK.Abstract_D02TK_FFUN { - - public void eval() { - F[0] = Y[getIdx(2, 0, NEQ)]; - F[1] = -((Y[getIdx(1, 0, NEQ)] * Y[getIdx(2, 2, NEQ)]) - + (Y[getIdx(3, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; - F[2] = ((Y[getIdx(2, 0, NEQ)] * Y[getIdx(3, 0, NEQ)]) - - (Y[getIdx(1, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; - } - - } - - public static class FJAC extends D02TK.Abstract_D02TK_FJAC { - - public void eval() { - DFDY[getIdx(1, 2, 0, NEQ, NEQ)] = 1.0; - DFDY[getIdx(2, 1, 0, NEQ, NEQ)] = -Y[getIdx(2, 2, NEQ)] * sqrofr; - DFDY[getIdx(2, 2, 2, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; - DFDY[getIdx(2, 3, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; - DFDY[getIdx(2, 3, 1, NEQ, NEQ)] = -Y[getIdx(3, 0, NEQ)] * sqrofr; - DFDY[getIdx(3, 1, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; - DFDY[getIdx(3, 2, 0, NEQ, NEQ)] = Y[getIdx(3, 0, NEQ)] * sqrofr; - DFDY[getIdx(3, 3, 0, NEQ, NEQ)] = Y[getIdx(2, 0, NEQ)] * sqrofr; - DFDY[getIdx(3, 3, 1, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; - } - - } - - public static class GAFUN extends D02TK.Abstract_D02TK_GAFUN { - - public void eval() { - GA[0] = YA[getIdx(1, 0, NEQ)]; - GA[1] = YA[getIdx(2, 0, NEQ)]; - GA[2] = YA[getIdx(3, 0, NEQ)] - omega; - } - - } - - public static class GBFUN extends D02TK.Abstract_D02TK_GBFUN { - - public void eval() { - GB[0] = YB[getIdx(1, 0, NEQ)]; - GB[1] = YB[getIdx(2, 0, NEQ)]; - GB[2] = YB[getIdx(3, 0, NEQ)] + omega; - } - - } - - public static class GAJAC extends D02TK.Abstract_D02TK_GAJAC { - - public void eval() { - DGADY[getIdx(1, 1, 0, NLBC, NEQ)] = 1.0; - DGADY[getIdx(2, 2, 0, NLBC, NEQ)] = 1.0; - DGADY[getIdx(3, 3, 0, NLBC, NEQ)] = 1.0; - } - - } - - public static class GBJAC extends D02TK.Abstract_D02TK_GBJAC { - - public void eval() { - DGBDY[getIdx(1, 1, 0, NRBC, NEQ)] = 1.0; - DGBDY[getIdx(2, 2, 0, NRBC, NEQ)] = 1.0; - DGBDY[getIdx(3, 3, 0, NRBC, NEQ)] = 1.0; - } - - } - - public static class GUESS extends D02TK.Abstract_D02TK_GUESS { - - public void eval() { - Y[getIdx(1, 0, NEQ)] = -(X - 0.5) * Math.pow(X * (X - 1.0), 2.0); - Y[getIdx(2, 0, NEQ)] = -X * (X - 1.0) - * (5.0 * X * (X - 1.0) + 1.0); - Y[getIdx(2, 1, NEQ)] = -(2.0 * X - 1.0) - * (10.0 * X * (X - 1.0) + 1.0); - Y[getIdx(2, 2, NEQ)] = -12.0 * (5.0 * X * (X - 1.0) + 1.0); - Y[getIdx(3, 0, NEQ)] = -8.0 * omega * Math.pow(X - 0.5, 3.0); - Y[getIdx(3, 1, NEQ)] = -24.0 * omega * Math.pow(X - 0.5, 2.0); - DYM[0] = Y[getIdx(2, 0, NEQ)]; - DYM[1] = -120.0 * (X - 0.5); - DYM[2] = -56.0 * omega * (X - 0.5); - } - - } - -} From 647550f4d248aa5649ce79a757dc296d1d484ccd Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 15 Jan 2021 14:13:46 +0000 Subject: [PATCH 120/196] Simple Examples Synced --- simple_examples/baseresults/a00aaje.r | 10 + simple_examples/baseresults/a00acje.r | 3 + simple_examples/baseresults/a00adje.r | 17 + simple_examples/baseresults/c02aaje.r | 19 + simple_examples/baseresults/c02abje.r | 12 + simple_examples/baseresults/c02afje.r | 28 ++ simple_examples/baseresults/c02agje.r | 27 ++ simple_examples/baseresults/c02ahje.r | 6 + simple_examples/baseresults/c02ajje.r | 6 + simple_examples/baseresults/c02akje.r | 8 + simple_examples/baseresults/c02alje.r | 9 + simple_examples/baseresults/c02amje.r | 8 + simple_examples/baseresults/c02anje.r | 9 + simple_examples/baseresults/c05auje.r | 4 + simple_examples/baseresults/c05awje.r | 4 + simple_examples/baseresults/c05ayje.r | 3 + simple_examples/baseresults/c05azje.r | 15 + simple_examples/baseresults/c05bbje.r | 10 + simple_examples/baseresults/c05mbje.r | 8 + simple_examples/baseresults/c05qbje.r | 8 + simple_examples/baseresults/c06baje.r | 15 + simple_examples/baseresults/c06fkje.r | 13 + simple_examples/baseresults/c09aaje.r | 18 + .../baseresults/complexargumentexample.r | 1 + simple_examples/baseresults/d01bdje.r | 9 + simple_examples/baseresults/d02neje.r | 25 ++ simple_examples/baseresults/d02tkje.r | 113 +++++ simple_examples/baseresults/d02tlje.r | 113 +++++ simple_examples/baseresults/d03pcje.r | 28 ++ simple_examples/baseresults/d03raje.r | 409 +++++++++++++++++ simple_examples/baseresults/d03rbje.r | 59 +++ simple_examples/baseresults/d05baje.r | 12 + simple_examples/baseresults/d05beje.r | 46 ++ simple_examples/baseresults/dtfsmje.r | 10 + simple_examples/baseresults/e01daje.r | 25 ++ simple_examples/baseresults/e02alje.r | 24 + simple_examples/baseresults/e04abje.r | 6 + simple_examples/baseresults/e04bbje.r | 7 + simple_examples/baseresults/e04cbje.r | 4 + simple_examples/baseresults/e04fcje.r | 22 + simple_examples/baseresults/e04ffje.r | 73 +++ simple_examples/baseresults/e04gbje.r | 22 + simple_examples/baseresults/e04ggje.r | 44 ++ simple_examples/baseresults/e04mtje.r | 162 +++++++ simple_examples/baseresults/e04mxje.r | 38 ++ simple_examples/baseresults/e04ncje.r | 23 + simple_examples/baseresults/e04nfje.r | 66 +++ simple_examples/baseresults/e04nkje.r | 26 ++ simple_examples/baseresults/e04nqje.r | 6 + simple_examples/baseresults/e04ptje.r | 39 ++ simple_examples/baseresults/e04rpje.r | 105 +++++ simple_examples/baseresults/e04rsje.r | 35 ++ simple_examples/baseresults/e04rtje.r | 35 ++ simple_examples/baseresults/e04saje.r | 33 ++ simple_examples/baseresults/e04taje.r | 39 ++ simple_examples/baseresults/e04tcje.r | 58 +++ simple_examples/baseresults/e04uc_example.r | 95 ++++ simple_examples/baseresults/e04ucje.r | 22 + simple_examples/baseresults/e04yaje.r | 25 ++ simple_examples/baseresults/f01adje.r | 9 + simple_examples/baseresults/f01ckje.r | 5 + simple_examples/baseresults/f01crje.r | 6 + simple_examples/baseresults/f01dgje.r | 8 + simple_examples/baseresults/f01elje.r | 10 + simple_examples/baseresults/f01emje.r | 10 + simple_examples/baseresults/f02ekje.r | 20 + simple_examples/baseresults/f02fkje.r | 14 + simple_examples/baseresults/f02wgje.r | 7 + simple_examples/baseresults/f03baje.r | 14 + simple_examples/baseresults/f04amje.r | 4 + simple_examples/baseresults/f04baje.r | 14 + simple_examples/baseresults/f05aaje.r | 11 + simple_examples/baseresults/f06clje.r | 3 + simple_examples/baseresults/f07aaje.r | 14 + simple_examples/baseresults/f07abje.r | 23 + simple_examples/baseresults/f07adje.r | 10 + simple_examples/baseresults/f07aqje.r | 7 + simple_examples/baseresults/f07faje.r | 11 + simple_examples/baseresults/f07fbje.r | 19 + simple_examples/baseresults/f08btje.r | 16 + simple_examples/baseresults/f08faje.r | 16 + simple_examples/baseresults/f08xpje.r | 8 + simple_examples/baseresults/g01alje.r | 7 + simple_examples/baseresults/g02akje.r | 14 + simple_examples/baseresults/g02bjje.r | 38 ++ simple_examples/baseresults/g02brje.r | 29 ++ simple_examples/baseresults/g02daje.r | 31 ++ simple_examples/baseresults/g02eeje.r | 20 + simple_examples/baseresults/g02maje.r | 23 + simple_examples/baseresults/g03gaje.r | 79 ++++ simple_examples/baseresults/g05kfje.r | 7 + simple_examples/baseresults/g13awje.r | 4 + simple_examples/baseresults/g13meje.r | 39 ++ simple_examples/baseresults/g13naje.r | 11 + simple_examples/baseresults/h02bbje.r | 79 ++++ simple_examples/baseresults/h02daje.r | 14 + simple_examples/baseresults/m01ccje.r | 15 + .../baseresults/nagcomplexexample.r | 60 +++ simple_examples/baseresults/outputexample.r | 10 + simple_examples/baseresults/s01baje.r | 9 + simple_examples/baseresults/s10aaje.r | 7 + simple_examples/baseresults/s10abje.r | 8 + simple_examples/baseresults/s10acje.r | 8 + simple_examples/baseresults/s14abje.r | 12 + simple_examples/baseresults/s14acje.r | 8 + simple_examples/baseresults/s14afje.r | 5 + simple_examples/baseresults/s17dcje.r | 10 + simple_examples/baseresults/s17dgje.r | 9 + simple_examples/baseresults/s30aaje.r | 16 + simple_examples/baseresults/s30acje.r | 9 + .../baseresults/simpleroutineexample.r | 15 + .../baseresults/userdefinedfunctionexample1.r | 1 + .../baseresults/userdefinedfunctionexample2.r | 1 + simple_examples/baseresults/x03aaje.r | 3 + simple_examples/baseresults/x04cbje.r | 21 + simple_examples/baseresults/x05abje.r | 2 + simple_examples/data/c02abje.d | 14 + simple_examples/data/c02afje.d | 19 + simple_examples/data/c02agje.d | 9 + simple_examples/data/c02ahje.d | 2 + simple_examples/data/c02ajje.d | 2 + simple_examples/data/c02akje.d | 2 + simple_examples/data/c02alje.d | 2 + simple_examples/data/c02amje.d | 5 + simple_examples/data/c02anje.d | 6 + simple_examples/data/c05bbje.d | 7 + simple_examples/data/c06fkje.d | 11 + simple_examples/data/c09aaje.d | 11 + simple_examples/data/d03pcje.d | 6 + simple_examples/data/e02alje.d | 23 + simple_examples/data/e04fcje.d | 16 + simple_examples/data/e04mxje.d | 64 +++ simple_examples/data/e04ncje.d | 21 + simple_examples/data/e04nfje.d | 22 + simple_examples/data/e04nqje.d | 67 +++ simple_examples/data/e04rsje.d | 13 + simple_examples/data/e04rtje.d | 8 + simple_examples/data/e04saje.opt | 30 ++ simple_examples/data/e04tcje.d | 22 + simple_examples/data/f03baje.d | 5 + simple_examples/data/f04amje.d | 5 + simple_examples/data/f04baje.d | 13 + simple_examples/data/f05aaje.d | 6 + simple_examples/data/f08btje.d | 15 + simple_examples/data/f08xpje.d | 10 + simple_examples/data/g02bjje.d | 10 + simple_examples/data/g02daje.d | 15 + simple_examples/data/g02eeje.d | 24 + simple_examples/data/g02maje.d | 23 + simple_examples/data/g03gaje.d | 56 +++ simple_examples/data/g05kfje.d | 3 + simple_examples/data/g13naje.d | 14 + simple_examples/data/m01ccje.d | 13 + simple_examples/data/s14abje.d | 10 + simple_examples/data/s14acje.d | 5 + simple_examples/data/s14afje.d | 2 + simple_examples/data/s17dcje.d | 6 + simple_examples/data/s17dgje.d | 6 + simple_examples/data/s30aaje.d | 9 + simple_examples/data/s30acje.d | 9 + simple_examples/data/x03aaje.d | 5 + simple_examples/source/int32/A00AAJE.java | 16 + simple_examples/source/int32/A00ACJE.java | 29 ++ simple_examples/source/int32/A00ADJE.java | 107 +++++ simple_examples/source/int32/C02AAJE.java | 174 ++++++++ simple_examples/source/int32/C02ABJE.java | 217 +++++++++ simple_examples/source/int32/C02AFJE.java | 271 +++++++++++ simple_examples/source/int32/C02AGJE.java | 262 +++++++++++ simple_examples/source/int32/C02AHJE.java | 61 +++ simple_examples/source/int32/C02AJJE.java | 65 +++ simple_examples/source/int32/C02AKJE.java | 62 +++ simple_examples/source/int32/C02ALJE.java | 64 +++ simple_examples/source/int32/C02AMJE.java | 75 ++++ simple_examples/source/int32/C02ANJE.java | 80 ++++ simple_examples/source/int32/C05AUJE.java | 67 +++ simple_examples/source/int32/C05AWJE.java | 59 +++ simple_examples/source/int32/C05AYJE.java | 44 ++ simple_examples/source/int32/C05AZJE.java | 65 +++ simple_examples/source/int32/C05BBJE.java | 89 ++++ simple_examples/source/int32/C05MBJE.java | 95 ++++ simple_examples/source/int32/C05QBJE.java | 167 +++++++ simple_examples/source/int32/C06BAJE.java | 56 +++ simple_examples/source/int32/C06FKJE.java | 91 ++++ simple_examples/source/int32/C09AAJE.java | 158 +++++++ simple_examples/source/int32/D01BDJE.java | 58 +++ simple_examples/source/int32/D01RJJE.java | 184 ++++++++ simple_examples/source/int32/D01RKJE.java | 173 ++++++++ simple_examples/source/int32/D01RLJE.java | 196 ++++++++ simple_examples/source/int32/D01RMJE.java | 163 +++++++ simple_examples/source/int32/D01TCJE.java | 45 ++ simple_examples/source/int32/D02NEJE.java | 388 ++++++++++++++++ simple_examples/source/int32/D02TLJE.java | 290 ++++++++++++ simple_examples/source/int32/D03PCJE.java | 217 +++++++++ simple_examples/source/int32/D03RAJE.java | 307 +++++++++++++ simple_examples/source/int32/D03RBJE.java | 388 ++++++++++++++++ simple_examples/source/int32/D05BAJE.java | 111 +++++ simple_examples/source/int32/D05BEJE.java | 185 ++++++++ simple_examples/source/int32/DTFSMJE.java | 54 +++ simple_examples/source/int32/E01DAJE.java | 182 ++++++++ simple_examples/source/int32/E02ALJE.java | 101 +++++ simple_examples/source/int32/E04ABJE.java | 76 ++++ simple_examples/source/int32/E04BBJE.java | 81 ++++ simple_examples/source/int32/E04CBJE.java | 90 ++++ simple_examples/source/int32/E04FCJE.java | 420 ++++++++++++++++++ simple_examples/source/int32/E04FFJE.java | 140 ++++++ simple_examples/source/int32/E04GBJE.java | 183 ++++++++ simple_examples/source/int32/E04GGJE.java | 219 +++++++++ simple_examples/source/int32/E04MTJE.java | 132 ++++++ simple_examples/source/int32/E04MXJE.java | 292 ++++++++++++ simple_examples/source/int32/E04NCJE.java | 246 ++++++++++ simple_examples/source/int32/E04NFJE.java | 234 ++++++++++ simple_examples/source/int32/E04NKJE.java | 295 ++++++++++++ simple_examples/source/int32/E04NQJE.java | 384 ++++++++++++++++ simple_examples/source/int32/E04PTJE.java | 344 ++++++++++++++ simple_examples/source/int32/E04RPJE.java | 199 +++++++++ simple_examples/source/int32/E04RSJE.java | 229 ++++++++++ simple_examples/source/int32/E04RTJE.java | 225 ++++++++++ simple_examples/source/int32/E04SAJE.java | 104 +++++ simple_examples/source/int32/E04TAJE.java | 188 ++++++++ simple_examples/source/int32/E04TCJE.java | 263 +++++++++++ simple_examples/source/int32/E04UCJE.java | 211 +++++++++ simple_examples/source/int32/E04YAJE.java | 112 +++++ simple_examples/source/int32/F01ADJE.java | 39 ++ simple_examples/source/int32/F01CKJE.java | 60 +++ simple_examples/source/int32/F01CRJE.java | 47 ++ simple_examples/source/int32/F01DGJE.java | 72 +++ simple_examples/source/int32/F01ELJE.java | 89 ++++ simple_examples/source/int32/F01EMJE.java | 106 +++++ simple_examples/source/int32/F02EKJE.java | 227 ++++++++++ simple_examples/source/int32/F02FKJE.java | 230 ++++++++++ simple_examples/source/int32/F02WGJE.java | 132 ++++++ simple_examples/source/int32/F03BAJE.java | 108 +++++ simple_examples/source/int32/F04AMJE.java | 114 +++++ simple_examples/source/int32/F04BAJE.java | 144 ++++++ simple_examples/source/int32/F05AAJE.java | 99 +++++ simple_examples/source/int32/F06CLJE.java | 40 ++ simple_examples/source/int32/F07AAJE.java | 90 ++++ simple_examples/source/int32/F07ABJE.java | 134 ++++++ simple_examples/source/int32/F07ADJE.java | 72 +++ simple_examples/source/int32/F07AQJE.java | 99 +++++ simple_examples/source/int32/F07FAJE.java | 79 ++++ simple_examples/source/int32/F07FBJE.java | 122 +++++ simple_examples/source/int32/F08BTJE.java | 228 ++++++++++ simple_examples/source/int32/F08FAJE.java | 113 +++++ simple_examples/source/int32/F08XPJE.java | 297 +++++++++++++ simple_examples/source/int32/G01ALJE.java | 55 +++ simple_examples/source/int32/G02AKJE.java | 68 +++ simple_examples/source/int32/G02BJJE.java | 303 +++++++++++++ simple_examples/source/int32/G02BRJE.java | 134 ++++++ simple_examples/source/int32/G02DAJE.java | 187 ++++++++ simple_examples/source/int32/G02EEJE.java | 184 ++++++++ simple_examples/source/int32/G02MAJE.java | 130 ++++++ simple_examples/source/int32/G03GAJE.java | 355 +++++++++++++++ simple_examples/source/int32/G05KFJE.java | 105 +++++ simple_examples/source/int32/G13AWJE.java | 31 ++ simple_examples/source/int32/G13MEJE.java | 160 +++++++ simple_examples/source/int32/G13NAJE.java | 123 +++++ simple_examples/source/int32/H02BBJE.java | 92 ++++ simple_examples/source/int32/H02DAJE.java | 228 ++++++++++ simple_examples/source/int32/M01CCJE.java | 42 ++ simple_examples/source/int32/S01BAJE.java | 39 ++ simple_examples/source/int32/S10AAJE.java | 40 ++ simple_examples/source/int32/S10ABJE.java | 41 ++ simple_examples/source/int32/S10ACJE.java | 41 ++ simple_examples/source/int32/S14ABJE.java | 71 +++ simple_examples/source/int32/S14ACJE.java | 68 +++ simple_examples/source/int32/S14AFJE.java | 80 ++++ simple_examples/source/int32/S17DCJE.java | 69 +++ simple_examples/source/int32/S17DGJE.java | 61 +++ simple_examples/source/int32/S30AAJE.java | 109 +++++ simple_examples/source/int32/S30ACJE.java | 129 ++++++ simple_examples/source/int32/X03AAJE.java | 87 ++++ simple_examples/source/int32/X04CBJE.java | 53 +++ simple_examples/source/int32/X05ABJE.java | 25 ++ simple_examples/source/int64/A00AAJE.java | 14 + simple_examples/source/int64/A00ADJE.java | 113 +++++ simple_examples/source/int64/C05AYJE.java | 45 ++ simple_examples/source/int64/C05AZJE.java | 65 +++ simple_examples/source/int64/C05MBJE.java | 104 +++++ simple_examples/source/int64/C05QBJE.java | 178 ++++++++ simple_examples/source/int64/D01BDJE.java | 57 +++ simple_examples/source/int64/D02NEJE.java | 393 ++++++++++++++++ simple_examples/source/int64/DTFSMJE.java | 61 +++ simple_examples/source/int64/E01DAJE.java | 177 ++++++++ simple_examples/source/int64/E04FCJE.java | 415 +++++++++++++++++ simple_examples/source/int64/E04MTJE.java | 134 ++++++ simple_examples/source/int64/E04NFJE.java | 223 ++++++++++ simple_examples/source/int64/E04UCJE.java | 207 +++++++++ simple_examples/source/int64/F02EKJE.java | 230 ++++++++++ simple_examples/source/withdrawn/D02TKJE.java | 290 ++++++++++++ 290 files changed, 22288 insertions(+) create mode 100644 simple_examples/baseresults/a00aaje.r create mode 100644 simple_examples/baseresults/a00acje.r create mode 100644 simple_examples/baseresults/a00adje.r create mode 100644 simple_examples/baseresults/c02aaje.r create mode 100644 simple_examples/baseresults/c02abje.r create mode 100644 simple_examples/baseresults/c02afje.r create mode 100644 simple_examples/baseresults/c02agje.r create mode 100644 simple_examples/baseresults/c02ahje.r create mode 100644 simple_examples/baseresults/c02ajje.r create mode 100644 simple_examples/baseresults/c02akje.r create mode 100644 simple_examples/baseresults/c02alje.r create mode 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simple_examples/source/int32/G02DAJE.java create mode 100644 simple_examples/source/int32/G02EEJE.java create mode 100644 simple_examples/source/int32/G02MAJE.java create mode 100644 simple_examples/source/int32/G03GAJE.java create mode 100644 simple_examples/source/int32/G05KFJE.java create mode 100644 simple_examples/source/int32/G13AWJE.java create mode 100644 simple_examples/source/int32/G13MEJE.java create mode 100644 simple_examples/source/int32/G13NAJE.java create mode 100644 simple_examples/source/int32/H02BBJE.java create mode 100644 simple_examples/source/int32/H02DAJE.java create mode 100644 simple_examples/source/int32/M01CCJE.java create mode 100644 simple_examples/source/int32/S01BAJE.java create mode 100644 simple_examples/source/int32/S10AAJE.java create mode 100644 simple_examples/source/int32/S10ABJE.java create mode 100644 simple_examples/source/int32/S10ACJE.java create mode 100644 simple_examples/source/int32/S14ABJE.java create mode 100644 simple_examples/source/int32/S14ACJE.java create mode 100644 simple_examples/source/int32/S14AFJE.java create mode 100644 simple_examples/source/int32/S17DCJE.java create mode 100644 simple_examples/source/int32/S17DGJE.java create mode 100644 simple_examples/source/int32/S30AAJE.java create mode 100644 simple_examples/source/int32/S30ACJE.java create mode 100644 simple_examples/source/int32/X03AAJE.java create mode 100644 simple_examples/source/int32/X04CBJE.java create mode 100644 simple_examples/source/int32/X05ABJE.java create mode 100644 simple_examples/source/int64/A00AAJE.java create mode 100644 simple_examples/source/int64/A00ADJE.java create mode 100644 simple_examples/source/int64/C05AYJE.java create mode 100644 simple_examples/source/int64/C05AZJE.java create mode 100644 simple_examples/source/int64/C05MBJE.java create mode 100644 simple_examples/source/int64/C05QBJE.java create mode 100644 simple_examples/source/int64/D01BDJE.java create mode 100644 simple_examples/source/int64/D02NEJE.java create mode 100644 simple_examples/source/int64/DTFSMJE.java create mode 100644 simple_examples/source/int64/E01DAJE.java create mode 100644 simple_examples/source/int64/E04FCJE.java create mode 100644 simple_examples/source/int64/E04MTJE.java create mode 100644 simple_examples/source/int64/E04NFJE.java create mode 100644 simple_examples/source/int64/E04UCJE.java create mode 100644 simple_examples/source/int64/F02EKJE.java create mode 100644 simple_examples/source/withdrawn/D02TKJE.java diff --git a/simple_examples/baseresults/a00aaje.r b/simple_examples/baseresults/a00aaje.r new file mode 100644 index 0000000..adcba2f --- /dev/null +++ b/simple_examples/baseresults/a00aaje.r @@ -0,0 +1,10 @@ + A00AAJ Example Program Results + + *** Start of NAG Library implementation details *** + + Implementation title: Linux, 64-bit, Intel C/C++ (32-bit integers) + Precision: double precision + Product Code: CLL6I262CL + Mark: 27.2.0 (self-contained) + + *** End of NAG Library implementation details *** diff --git a/simple_examples/baseresults/a00acje.r b/simple_examples/baseresults/a00acje.r new file mode 100644 index 0000000..0012531 --- /dev/null +++ b/simple_examples/baseresults/a00acje.r @@ -0,0 +1,3 @@ + A00ACJ Example Program Results + + A valid licence key is available diff --git a/simple_examples/baseresults/a00adje.r b/simple_examples/baseresults/a00adje.r new file mode 100644 index 0000000..5fb1839 --- /dev/null +++ b/simple_examples/baseresults/a00adje.r @@ -0,0 +1,17 @@ + A00ADJ Example Program Results + +*** Start of NAG Library implementation details *** + +Implementation title: Linux, 64-bit, Intel C/C++ (32-bit integers) + Precision: Fortran double precision + Product code: CLL6I262CL + Mark: 26.2 + Vendor Library: None +Applicable to: + hardware: x86_64 + operating system: Linux 2.6.32-696.6.3.el6.x86_64 + Fortran compiler: Intel ifort Version 18.0.1.163 20171018 +and compatible systems. + Licence query: Successful + +*** End of NAG Library implementation details *** diff --git a/simple_examples/baseresults/c02aaje.r b/simple_examples/baseresults/c02aaje.r new file mode 100644 index 0000000..fa3083b --- /dev/null +++ b/simple_examples/baseresults/c02aaje.r @@ -0,0 +1,19 @@ + C02AAJ Example Program Results + + Example 1: Basic Problem + + i z conv berr cond + --------------------------------------------------- + 1 6.53E-03, 7.42E-03 3 9.25E-18 4.84E+00 + 2 -6.93E-03, -7.44E-03 2 0.00E+00 4.95E+00 + 3 -2.43E+01, -4.86E+00 3 8.41E-18 1.13E+01 + 4 1.47E+01, -1.66E+01 3 1.07E-17 9.99E+00 + 5 5.25E+00, 2.27E+01 3 2.08E-17 1.06E+01 + + Example 2: Polishing Processes + + polish relerr fwderr + ---------------------------- + 0 3.18E-10 1.15E-04 + 1 6.16E-11 8.49E-06 + 2 1.11E-16 1.11E-16 diff --git a/simple_examples/baseresults/c02abje.r b/simple_examples/baseresults/c02abje.r new file mode 100644 index 0000000..01b29cd --- /dev/null +++ b/simple_examples/baseresults/c02abje.r @@ -0,0 +1,12 @@ + C02ABJ Example Program Results + + Basic Problem + + i z conv berr cond + ----------------------------------------------------- + 1 ( 1.15E+00, 7.36E-01) 3 5.37E-18 1.34E+01 + 2 ( -1.67E+00, 3.25E-01) 3 6.34E-18 2.20E+01 + 3 ( 3.79E-01, -1.25E+00) 3 2.98E-18 1.02E+01 + 4 ( -1.67E+00, -3.25E-01) 3 4.57E-18 2.20E+01 + 5 ( 1.15E+00, -7.36E-01) 3 1.04E-17 1.34E+01 + 6 ( 3.79E-01, 1.25E+00) 2 1.66E-18 1.02E+01 diff --git a/simple_examples/baseresults/c02afje.r b/simple_examples/baseresults/c02afje.r new file mode 100644 index 0000000..386d4fe --- /dev/null +++ b/simple_examples/baseresults/c02afje.r @@ -0,0 +1,28 @@ + C02AFJ Example Program Results + + + Example 1 + + Degree of polynomial = 5 + + Computed roots of polynomial + + z = -2.4328E+01 -4.8555E+00*i + z = 5.2487E+00 +2.2736E+01*i + z = 1.4653E+01 -1.6569E+01*i + z = -6.9264E-03 -7.4434E-03*i + z = 6.5264E-03 +7.4232E-03*i + + + Example 2 + + Degree of polynomial = 5 + + Computed roots of polynomial Error estimates + (machine-dependent) + + z = -2.4328E+01 -4.8555E+00*i 5.7E-16 + z = 5.2487E+00 +2.2736E+01*i 1.5E-16 + z = 1.4653E+01 -1.6569E+01*i 4.8E-16 + z = -6.9264E-03 -7.4434E-03*i 1.1E-16 + z = 6.5264E-03 +7.4232E-03*i 1.8E-16 diff --git a/simple_examples/baseresults/c02agje.r b/simple_examples/baseresults/c02agje.r new file mode 100644 index 0000000..8e10c18 --- /dev/null +++ b/simple_examples/baseresults/c02agje.r @@ -0,0 +1,27 @@ + C02AGJ Example Program Results + + + Example 1 + + + Degree of polynomial = 5 + + Computed roots of polynomial + + z = -1.4918E+00 + z = 5.5169E-01 +/- 1.2533E+00*i + z = -8.0579E-01 +/- 1.2229E+00*i + + + Example 2 + + Degree of polynomial = 5 + + Computed roots of polynomial Error estimates + (machine-dependent) + + z = -1.4918E+00 +0.0000E+00*i 7.4E-16 + z = 5.5169E-01 +1.2533E+00*i 1.1E-16 + z = 5.5169E-01 -1.2533E+00*i 1.1E-16 + z = -8.0579E-01 +1.2229E+00*i 3.0E-16 + z = -8.0579E-01 -1.2229E+00*i 3.0E-16 diff --git a/simple_examples/baseresults/c02ahje.r b/simple_examples/baseresults/c02ahje.r new file mode 100644 index 0000000..e3efc97 --- /dev/null +++ b/simple_examples/baseresults/c02ahje.r @@ -0,0 +1,6 @@ + C02AHJ Example Program Results + + Roots of quadratic equation + + z = 1.0000E+00 +2.0000E+00*i + z = 2.0000E+00 -3.0000E+00*i diff --git a/simple_examples/baseresults/c02ajje.r b/simple_examples/baseresults/c02ajje.r new file mode 100644 index 0000000..944fa06 --- /dev/null +++ b/simple_examples/baseresults/c02ajje.r @@ -0,0 +1,6 @@ + C02AJJ Example Program Results + + Roots of quadratic equation + + z = 2.0000E+00 + z = -5.0000E+00 diff --git a/simple_examples/baseresults/c02akje.r b/simple_examples/baseresults/c02akje.r new file mode 100644 index 0000000..34b3e74 --- /dev/null +++ b/simple_examples/baseresults/c02akje.r @@ -0,0 +1,8 @@ + C02AKJ Example Program Results + + Roots of cubic equation Error estimates + (machine-dependent) + + z = 1.0000E+00 +0.0000E+00*i 1.0E-15 + z = -2.0000E+00 +3.0000E+00*i 1.0E-15 + z = -2.0000E+00 -3.0000E+00*i 1.0E-15 diff --git a/simple_examples/baseresults/c02alje.r b/simple_examples/baseresults/c02alje.r new file mode 100644 index 0000000..ff49a36 --- /dev/null +++ b/simple_examples/baseresults/c02alje.r @@ -0,0 +1,9 @@ + C02ALJ Example Program Results + + Roots of quartic equation Error estimates + (machine-dependent) + + z = 2.0000E+00 +0.0000E+00*i 1.2E-15 + z = -2.0000E+00 +0.0000E+00*i 1.1E-15 + z = -1.0000E+00 +3.0000E+00*i 1.1E-15 + z = -1.0000E+00 -3.0000E+00*i 1.1E-15 diff --git a/simple_examples/baseresults/c02amje.r b/simple_examples/baseresults/c02amje.r new file mode 100644 index 0000000..c2c70b4 --- /dev/null +++ b/simple_examples/baseresults/c02amje.r @@ -0,0 +1,8 @@ + C02AMJ Example Program Results + + Roots of cubic equation Error estimates + (machine-dependent) + + z = -2.0000E+00 +3.0000E+00*i 1.3E-15 + z = 1.0000E+00 -2.0000E+00*i 2.2E-15 + z = 3.0000E+00 -4.0000E+00*i 2.1E-15 diff --git a/simple_examples/baseresults/c02anje.r b/simple_examples/baseresults/c02anje.r new file mode 100644 index 0000000..4361b7e --- /dev/null +++ b/simple_examples/baseresults/c02anje.r @@ -0,0 +1,9 @@ + C02ANJ Example Program Results + + Roots of quartic equation Error estimates + (machine-dependent) + + z = 3.0000E+00 -2.0000E+00*i 1.8E-15 + z = 1.0000E+00 -2.0000E+00*i 1.8E-15 + z = -2.0000E+00 +1.0000E+00*i 1.8E-15 + z = -2.0000E+00 +3.0000E+00*i 1.8E-15 diff --git a/simple_examples/baseresults/c05auje.r b/simple_examples/baseresults/c05auje.r new file mode 100644 index 0000000..1c8bb18 --- /dev/null +++ b/simple_examples/baseresults/c05auje.r @@ -0,0 +1,4 @@ +C05AUJ Example Program Results + +Root is : 0.56714 +Interval searched is : [ 0.50000, 0.90000] diff --git a/simple_examples/baseresults/c05awje.r b/simple_examples/baseresults/c05awje.r new file mode 100644 index 0000000..0868382 --- /dev/null +++ b/simple_examples/baseresults/c05awje.r @@ -0,0 +1,4 @@ +C05AWJ Example Program Results + +With eps = 1.00e-03 root = 0.56715 +With eps = 1.00e-04 root = 0.56715 diff --git a/simple_examples/baseresults/c05ayje.r b/simple_examples/baseresults/c05ayje.r new file mode 100644 index 0000000..50a0010 --- /dev/null +++ b/simple_examples/baseresults/c05ayje.r @@ -0,0 +1,3 @@ +C05AYJ Example Program Results + +Zero at x = 0.56714 diff --git a/simple_examples/baseresults/c05azje.r b/simple_examples/baseresults/c05azje.r new file mode 100644 index 0000000..1d3b6bc --- /dev/null +++ b/simple_examples/baseresults/c05azje.r @@ -0,0 +1,15 @@ + C05AZJ Example Program Results + + Iterations + + X = 0.00000 FX = 1.0000E+00 IND = 2 + X = 1.00000 FX = -6.3212E-01 IND = 3 + X = 0.61270 FX = -7.0814E-02 IND = 4 + X = 0.56707 FX = 1.1542E-04 IND = 4 + X = 0.56714 FX = -9.4481E-07 IND = 4 + X = 0.56713 FX = 1.4727E-05 IND = 4 + X = 0.56714 FX = -9.4481E-07 IND = 4 + + Solution + + X = 0.56714 Y = 0.56713 diff --git a/simple_examples/baseresults/c05bbje.r b/simple_examples/baseresults/c05bbje.r new file mode 100644 index 0000000..a963b94 --- /dev/null +++ b/simple_examples/baseresults/c05bbje.r @@ -0,0 +1,10 @@ +C05BBJ Example Program Results +Branch = 0 +Offset = false + + Z W(Z) RESID IFAIL + +(5.00000e-01, -1.00000e+00) (5.16511e-01, -4.22053e-01) 5.55112e-17 0 +(1.00000e+00, 2.30000e+00) (8.73606e-01, 5.76978e-01) 1.11022e-16 0 +(4.50000e+00, -1.00000e-01) (1.26735e+00, -1.24194e-02) 0.00000e+00 0 +(6.00000e+00, 6.00000e+00) (1.61492e+00, 4.90515e-01) 1.25607e-15 0 diff --git a/simple_examples/baseresults/c05mbje.r b/simple_examples/baseresults/c05mbje.r new file mode 100644 index 0000000..49cdab8 --- /dev/null +++ b/simple_examples/baseresults/c05mbje.r @@ -0,0 +1,8 @@ +C05MBJ Example Program Results + + +Final 2-norm of the residuals = 2.4765e-08 + +Final approximate solution + + 0.7682 0.7862 0.6948 0.6180 diff --git a/simple_examples/baseresults/c05qbje.r b/simple_examples/baseresults/c05qbje.r new file mode 100644 index 0000000..e161a18 --- /dev/null +++ b/simple_examples/baseresults/c05qbje.r @@ -0,0 +1,8 @@ + C05QBJ Example Program Results + + Final 2-norm of the residuals = 1.1926E-08 + + Final approximate solution + -0.5707 -0.6816 -0.7017 + -0.7042 -0.7014 -0.6919 + -0.6658 -0.5960 -0.4164 diff --git a/simple_examples/baseresults/c06baje.r b/simple_examples/baseresults/c06baje.r new file mode 100644 index 0000000..7049ba9 --- /dev/null +++ b/simple_examples/baseresults/c06baje.r @@ -0,0 +1,15 @@ +C06BAJ Example Program Results + + Estimated Actual +I SEQN RESULT abs error error + +1 1.0000 1.0000 - 1.78e-01 +2 0.7500 0.7500 - -7.25e-02 +3 0.8611 0.8269 - 4.46e-03 +4 0.7986 0.8211 2.56e-01 -1.36e-03 +5 0.8386 0.8226 7.84e-02 1.23e-04 +6 0.8108 0.8224 5.97e-03 -3.26e-05 +7 0.8312 0.8225 1.52e-03 3.50e-06 +8 0.8156 0.8225 1.60e-04 -8.51e-07 +9 0.8280 0.8225 3.70e-05 1.01e-07 +10 0.8180 0.8225 4.48e-06 -2.32e-08 \ No newline at end of file diff --git a/simple_examples/baseresults/c06fkje.r b/simple_examples/baseresults/c06fkje.r new file mode 100644 index 0000000..8ef60db --- /dev/null +++ b/simple_examples/baseresults/c06fkje.r @@ -0,0 +1,13 @@ +C06FKJ Example Program Results + + Covolution Correlation + +0 0.50000 2.00000 +1 1.00000 1.50000 +2 1.50000 1.00000 +3 2.00000 0.50000 +4 2.00000 0.00000 +5 1.50000 0.50000 +6 1.00000 1.00000 +7 0.50000 1.50000 +8 0.00000 2.00000 diff --git a/simple_examples/baseresults/c09aaje.r b/simple_examples/baseresults/c09aaje.r new file mode 100644 index 0000000..950c020 --- /dev/null +++ b/simple_examples/baseresults/c09aaje.r @@ -0,0 +1,18 @@ +C09AAJ Example Program Results + +Parameters read from file :: + Wavelet : Haar End mode : Zero N = 8 +Input data X : +2.000 5.000 8.000 9.000 7.000 4.000 -1.000 1.000 + +Length of wavelet filter : 2 +Number of Levels : 3 +Number of coefficients in each level: + 1 1 2 4 +Total number of wavelength coefficients : 8 + +Wavelet coefficients C: +12.374 4.596 -5.000 5.500 -2.121 -0.707 2.121 -1.414 + +Reconstruction Y : +2.000 5.000 8.000 9.000 7.000 4.000 -1.000 1.000 \ No newline at end of file diff --git a/simple_examples/baseresults/complexargumentexample.r b/simple_examples/baseresults/complexargumentexample.r new file mode 100644 index 0000000..19fc96c --- /dev/null +++ b/simple_examples/baseresults/complexargumentexample.r @@ -0,0 +1 @@ +(1.0, 1.0)/(2.0, 2.0) = (0.5, 0.0) diff --git a/simple_examples/baseresults/d01bdje.r b/simple_examples/baseresults/d01bdje.r new file mode 100644 index 0000000..23c78d1 --- /dev/null +++ b/simple_examples/baseresults/d01bdje.r @@ -0,0 +1,9 @@ + D01BDJ Example Program Results + + A - lower limit of integration = 0.0000 + B - upper limit of integration = 1.0000 + EPSABS - absolute accuracy requested = 0.00E+00 + EPSREL - relative accuracy requested = 1.00E-04 + + RESULT - approximation to the integral = -0.03183 + ABSERR - estimate to the absolute error = 1.34E-11 diff --git a/simple_examples/baseresults/d02neje.r b/simple_examples/baseresults/d02neje.r new file mode 100644 index 0000000..b735aaf --- /dev/null +++ b/simple_examples/baseresults/d02neje.r @@ -0,0 +1,25 @@ + D02NEJ Example Program Results + + D02NEF Example 1 + + t Y(1) Y(2) Y(3) + 0.0000 1.000000 0.000000 0.000000 + 0.0200 0.999204 0.000036 0.000760 + 0.0400 0.998415 0.000036 0.001549 + 0.0600 0.997631 0.000036 0.002333 + 0.0800 0.996852 0.000036 0.003112 + 0.1000 0.996080 0.000036 0.003884 + + The integrator completed task, ITASK = 3 + + D02NEF Example 2 + + t y(1) + 0.0000 2.000000 + 0.2000 2.038016 + 0.4000 2.078379 + 0.6000 2.121462 + 0.8000 2.167736 + 1.0000 2.217821 + + The integrator completed task, ITASK = 3 diff --git a/simple_examples/baseresults/d02tkje.r b/simple_examples/baseresults/d02tkje.r new file mode 100644 index 0000000..4029a48 --- /dev/null +++ b/simple_examples/baseresults/d02tkje.r @@ -0,0 +1,113 @@ + D02TKJ Example Program Results + + + Tolerance = 1.0E-04 R = 1.000E+06 + + Used a mesh of 21 points + Maximum error = 6.16E-10 in interval 20 for component 3 + + + Mesh points: + 1(1) 0.000E+00 2(3) 5.000E-02 3(2) 1.000E-01 4(3) 1.500E-01 + 5(2) 2.000E-01 6(3) 2.500E-01 7(2) 3.000E-01 8(3) 3.500E-01 + 9(2) 4.000E-01 10(3) 4.500E-01 11(2) 5.000E-01 12(3) 5.500E-01 + 13(2) 6.000E-01 14(3) 6.500E-01 15(2) 7.000E-01 16(3) 7.500E-01 + 17(2) 8.000E-01 18(3) 8.500E-01 19(2) 9.000E-01 20(3) 9.500E-01 + 21(1) 1.000E+00 + + x f f' g + 0.000 0.0000 0.0000 1.0000 + 0.050 0.0070 0.1805 0.4416 + 0.100 0.0141 0.0977 0.1886 + 0.150 0.0171 0.0252 0.0952 + 0.200 0.0172 -0.0165 0.0595 + 0.250 0.0157 -0.0400 0.0427 + 0.300 0.0133 -0.0540 0.0322 + 0.350 0.0104 -0.0628 0.0236 + 0.400 0.0071 -0.0683 0.0156 + 0.450 0.0036 -0.0714 0.0078 + 0.500 0.0000 -0.0724 0.0000 + 0.550 -0.0036 -0.0714 -0.0078 + 0.600 -0.0071 -0.0683 -0.0156 + 0.650 -0.0104 -0.0628 -0.0236 + 0.700 -0.0133 -0.0540 -0.0322 + 0.750 -0.0157 -0.0400 -0.0427 + 0.800 -0.0172 -0.0165 -0.0595 + 0.850 -0.0171 0.0252 -0.0952 + 0.900 -0.0141 0.0977 -0.1886 + 0.950 -0.0070 0.1805 -0.4416 + 1.000 -0.0000 0.0000 -1.0000 + + Tolerance = 1.0E-04 R = 1.000E+08 + + Used a mesh of 21 points + Maximum error = 4.49E-09 in interval 6 for component 3 + + + Mesh points: + 1(1) 0.000E+00 2(3) 1.757E-02 3(2) 3.515E-02 4(3) 5.203E-02 + 5(2) 6.891E-02 6(3) 8.593E-02 7(2) 1.030E-01 8(3) 1.351E-01 + 9(2) 1.672E-01 10(3) 2.306E-01 11(2) 2.939E-01 12(3) 4.713E-01 + 13(2) 6.486E-01 14(3) 7.455E-01 15(2) 8.423E-01 16(3) 8.824E-01 + 17(2) 9.225E-01 18(3) 9.449E-01 19(2) 9.673E-01 20(3) 9.836E-01 + 21(1) 1.000E+00 + + x f f' g + 0.000 0.0000 0.0000 1.0000 + 0.018 0.0025 0.1713 0.3923 + 0.035 0.0047 0.0824 0.1381 + 0.052 0.0056 0.0267 0.0521 + 0.069 0.0058 0.0025 0.0213 + 0.086 0.0057 -0.0073 0.0097 + 0.103 0.0056 -0.0113 0.0053 + 0.135 0.0052 -0.0135 0.0027 + 0.167 0.0047 -0.0140 0.0020 + 0.231 0.0038 -0.0142 0.0015 + 0.294 0.0029 -0.0142 0.0012 + 0.471 0.0004 -0.0143 0.0002 + 0.649 -0.0021 -0.0143 -0.0008 + 0.745 -0.0035 -0.0142 -0.0014 + 0.842 -0.0049 -0.0139 -0.0022 + 0.882 -0.0054 -0.0127 -0.0036 + 0.922 -0.0058 -0.0036 -0.0141 + 0.945 -0.0057 0.0205 -0.0439 + 0.967 -0.0045 0.0937 -0.1592 + 0.984 -0.0023 0.1753 -0.4208 + 1.000 -0.0000 0.0000 -1.0000 + + Tolerance = 1.0E-04 R = 1.000E+10 + + Used a mesh of 21 points + Maximum error = 3.13E-06 in interval 7 for component 3 + + + Mesh points: + 1(1) 0.000E+00 2(3) 6.256E-03 3(2) 1.251E-02 4(3) 1.851E-02 + 5(2) 2.450E-02 6(3) 3.076E-02 7(2) 3.702E-02 8(3) 4.997E-02 + 9(2) 6.292E-02 10(3) 9.424E-02 11(2) 1.256E-01 12(3) 4.190E-01 + 13(2) 7.125E-01 14(3) 8.246E-01 15(2) 9.368E-01 16(3) 9.544E-01 + 17(2) 9.719E-01 18(3) 9.803E-01 19(2) 9.886E-01 20(3) 9.943E-01 + 21(1) 1.000E+00 + + x f f' g + 0.000 0.0000 0.0000 1.0000 + 0.006 0.0009 0.1623 0.3422 + 0.013 0.0016 0.0665 0.1021 + 0.019 0.0018 0.0204 0.0318 + 0.025 0.0019 0.0041 0.0099 + 0.031 0.0019 -0.0014 0.0028 + 0.037 0.0019 -0.0031 0.0007 + 0.050 0.0019 -0.0038 -0.0002 + 0.063 0.0018 -0.0038 -0.0003 + 0.094 0.0017 -0.0039 -0.0003 + 0.126 0.0016 -0.0039 -0.0002 + 0.419 0.0004 -0.0041 -0.0001 + 0.712 -0.0008 -0.0042 0.0001 + 0.825 -0.0013 -0.0043 0.0002 + 0.937 -0.0018 -0.0043 0.0003 + 0.954 -0.0019 -0.0042 0.0001 + 0.972 -0.0019 -0.0003 -0.0049 + 0.980 -0.0019 0.0152 -0.0252 + 0.989 -0.0015 0.0809 -0.1279 + 0.994 -0.0008 0.1699 -0.3814 + 1.000 0.0000 -0.0000 -1.0000 diff --git a/simple_examples/baseresults/d02tlje.r b/simple_examples/baseresults/d02tlje.r new file mode 100644 index 0000000..b56a57d --- /dev/null +++ b/simple_examples/baseresults/d02tlje.r @@ -0,0 +1,113 @@ + D02TLJ Example Program Results + + + Tolerance = 1.0E-04 R = 1.000E+06 + + Used a mesh of 21 points + Maximum error = 6.16E-10 in interval 20 for component 3 + + + Mesh points: + 1(1) 0.000E+00 2(3) 5.000E-02 3(2) 1.000E-01 4(3) 1.500E-01 + 5(2) 2.000E-01 6(3) 2.500E-01 7(2) 3.000E-01 8(3) 3.500E-01 + 9(2) 4.000E-01 10(3) 4.500E-01 11(2) 5.000E-01 12(3) 5.500E-01 + 13(2) 6.000E-01 14(3) 6.500E-01 15(2) 7.000E-01 16(3) 7.500E-01 + 17(2) 8.000E-01 18(3) 8.500E-01 19(2) 9.000E-01 20(3) 9.500E-01 + 21(1) 1.000E+00 + + x f f' g + 0.000 0.0000 0.0000 1.0000 + 0.050 0.0070 0.1805 0.4416 + 0.100 0.0141 0.0977 0.1886 + 0.150 0.0171 0.0252 0.0952 + 0.200 0.0172 -0.0165 0.0595 + 0.250 0.0157 -0.0400 0.0427 + 0.300 0.0133 -0.0540 0.0322 + 0.350 0.0104 -0.0628 0.0236 + 0.400 0.0071 -0.0683 0.0156 + 0.450 0.0036 -0.0714 0.0078 + 0.500 0.0000 -0.0724 0.0000 + 0.550 -0.0036 -0.0714 -0.0078 + 0.600 -0.0071 -0.0683 -0.0156 + 0.650 -0.0104 -0.0628 -0.0236 + 0.700 -0.0133 -0.0540 -0.0322 + 0.750 -0.0157 -0.0400 -0.0427 + 0.800 -0.0172 -0.0165 -0.0595 + 0.850 -0.0171 0.0252 -0.0952 + 0.900 -0.0141 0.0977 -0.1886 + 0.950 -0.0070 0.1805 -0.4416 + 1.000 -0.0000 0.0000 -1.0000 + + Tolerance = 1.0E-04 R = 1.000E+08 + + Used a mesh of 21 points + Maximum error = 4.49E-09 in interval 6 for component 3 + + + Mesh points: + 1(1) 0.000E+00 2(3) 1.757E-02 3(2) 3.515E-02 4(3) 5.203E-02 + 5(2) 6.891E-02 6(3) 8.593E-02 7(2) 1.030E-01 8(3) 1.351E-01 + 9(2) 1.672E-01 10(3) 2.306E-01 11(2) 2.939E-01 12(3) 4.713E-01 + 13(2) 6.486E-01 14(3) 7.455E-01 15(2) 8.423E-01 16(3) 8.824E-01 + 17(2) 9.225E-01 18(3) 9.449E-01 19(2) 9.673E-01 20(3) 9.836E-01 + 21(1) 1.000E+00 + + x f f' g + 0.000 0.0000 0.0000 1.0000 + 0.018 0.0025 0.1713 0.3923 + 0.035 0.0047 0.0824 0.1381 + 0.052 0.0056 0.0267 0.0521 + 0.069 0.0058 0.0025 0.0213 + 0.086 0.0057 -0.0073 0.0097 + 0.103 0.0056 -0.0113 0.0053 + 0.135 0.0052 -0.0135 0.0027 + 0.167 0.0047 -0.0140 0.0020 + 0.231 0.0038 -0.0142 0.0015 + 0.294 0.0029 -0.0142 0.0012 + 0.471 0.0004 -0.0143 0.0002 + 0.649 -0.0021 -0.0143 -0.0008 + 0.745 -0.0035 -0.0142 -0.0014 + 0.842 -0.0049 -0.0139 -0.0022 + 0.882 -0.0054 -0.0127 -0.0036 + 0.922 -0.0058 -0.0036 -0.0141 + 0.945 -0.0057 0.0205 -0.0439 + 0.967 -0.0045 0.0937 -0.1592 + 0.984 -0.0023 0.1753 -0.4208 + 1.000 -0.0000 0.0000 -1.0000 + + Tolerance = 1.0E-04 R = 1.000E+10 + + Used a mesh of 21 points + Maximum error = 3.13E-06 in interval 7 for component 3 + + + Mesh points: + 1(1) 0.000E+00 2(3) 6.256E-03 3(2) 1.251E-02 4(3) 1.851E-02 + 5(2) 2.450E-02 6(3) 3.076E-02 7(2) 3.702E-02 8(3) 4.997E-02 + 9(2) 6.292E-02 10(3) 9.424E-02 11(2) 1.256E-01 12(3) 4.190E-01 + 13(2) 7.125E-01 14(3) 8.246E-01 15(2) 9.368E-01 16(3) 9.544E-01 + 17(2) 9.719E-01 18(3) 9.803E-01 19(2) 9.886E-01 20(3) 9.943E-01 + 21(1) 1.000E+00 + + x f f' g + 0.000 0.0000 0.0000 1.0000 + 0.006 0.0009 0.1623 0.3422 + 0.013 0.0016 0.0665 0.1021 + 0.019 0.0018 0.0204 0.0318 + 0.025 0.0019 0.0041 0.0099 + 0.031 0.0019 -0.0014 0.0028 + 0.037 0.0019 -0.0031 0.0007 + 0.050 0.0019 -0.0038 -0.0002 + 0.063 0.0018 -0.0038 -0.0003 + 0.094 0.0017 -0.0039 -0.0003 + 0.126 0.0016 -0.0039 -0.0002 + 0.419 0.0004 -0.0041 -0.0001 + 0.712 -0.0008 -0.0042 0.0001 + 0.825 -0.0013 -0.0043 0.0002 + 0.937 -0.0018 -0.0043 0.0003 + 0.954 -0.0019 -0.0042 0.0001 + 0.972 -0.0019 -0.0003 -0.0049 + 0.980 -0.0019 0.0152 -0.0252 + 0.989 -0.0015 0.0809 -0.1279 + 0.994 -0.0008 0.1699 -0.3814 + 1.000 0.0000 -0.0000 -1.0000 diff --git a/simple_examples/baseresults/d03pcje.r b/simple_examples/baseresults/d03pcje.r new file mode 100644 index 0000000..154a2d9 --- /dev/null +++ b/simple_examples/baseresults/d03pcje.r @@ -0,0 +1,28 @@ +D03PCJ Example Program Results +Accuracy requirement = 1.00000e-03 + Parameter ALPHA = 1.000e+00 +T / X 0.0000 0.4000 0.6000 0.8000 0.9000 1.0000 + +0.0001 U(1) 0.0000 0.8008 1.1988 1.5990 1.7958 1.8485 + U(2) 0.9997 0.9995 0.9994 0.9988 0.9663 -0.0000 + + +0.0010 U(1) 0.0000 0.7982 1.1940 1.5841 1.7179 1.6734 + U(2) 0.9969 0.9952 0.9937 0.9484 0.6385 -0.0000 + + +0.0100 U(1) 0.0000 0.7676 1.1239 1.3547 1.3635 1.2830 + U(2) 0.9627 0.9495 0.8754 0.5537 0.2908 -0.0000 + + +0.1000 U(1) 0.0000 0.3908 0.5007 0.5297 0.5120 0.4744 + U(2) 0.5468 0.4299 0.2995 0.1479 0.0724 -0.0000 + + +1.0000 U(1) 0.0000 0.0007 0.0008 0.0008 0.0008 0.0007 + U(2) 0.0010 0.0007 0.0005 0.0002 0.0001 -0.0000 + +Number of Integration steps in time 78 +Number of residual evaluations of resulting ODE system 378 +Number of Jacobian evaluations 25 +Number of iterations of nonlinear solver 190 diff --git a/simple_examples/baseresults/d03raje.r b/simple_examples/baseresults/d03raje.r new file mode 100644 index 0000000..59cf403 --- /dev/null +++ b/simple_examples/baseresults/d03raje.r @@ -0,0 +1,409 @@ + D03RAJ Example Program Results + + Statistics: + Time = 0.2400 + Total number of accepted timesteps = 77 + Total number of rejected timesteps = 0 + + Total number (rounded) of + Residual Jacobian Newton Lin sys + evals evals iters iters + At level + 1 600 80 200 200 + + Maximum number of + Newton iters Lin sys iters + At level + 1 2 3 + + Solution at every 4th grid point in level 2 at time 0.2500: + + x y approx u + + 6.7500E-01 0.000E+00 2.000E+00 + 7.2500E-01 0.000E+00 1.980E+00 + 7.7500E-01 0.000E+00 1.342E+00 + 8.2500E-01 0.000E+00 1.190E+00 + 7.1250E-01 1.250E-02 1.996E+00 + 7.6250E-01 1.250E-02 1.468E+00 + 8.1250E-01 1.250E-02 1.213E+00 + 7.0000E-01 2.500E-02 1.999E+00 + 7.5000E-01 2.500E-02 1.625E+00 + 8.0000E-01 2.500E-02 1.240E+00 + 6.8750E-01 3.750E-02 2.000E+00 + 7.3750E-01 3.750E-02 1.870E+00 + 7.8750E-01 3.750E-02 1.283E+00 + 6.7500E-01 5.000E-02 2.000E+00 + 7.2500E-01 5.000E-02 1.980E+00 + 7.7500E-01 5.000E-02 1.342E+00 + 8.2500E-01 5.000E-02 1.190E+00 + 7.1250E-01 6.250E-02 1.996E+00 + 7.6250E-01 6.250E-02 1.468E+00 + 8.1250E-01 6.250E-02 1.213E+00 + 7.0000E-01 7.500E-02 1.999E+00 + 7.5000E-01 7.500E-02 1.625E+00 + 8.0000E-01 7.500E-02 1.240E+00 + 6.8750E-01 8.750E-02 2.000E+00 + 7.3750E-01 8.750E-02 1.870E+00 + 7.8750E-01 8.750E-02 1.283E+00 + 6.7500E-01 1.000E-01 2.000E+00 + 7.2500E-01 1.000E-01 1.980E+00 + 7.7500E-01 1.000E-01 1.342E+00 + 8.2500E-01 1.000E-01 1.190E+00 + 7.1250E-01 1.125E-01 1.996E+00 + 7.6250E-01 1.125E-01 1.468E+00 + 8.1250E-01 1.125E-01 1.213E+00 + 7.0000E-01 1.250E-01 1.999E+00 + 7.5000E-01 1.250E-01 1.625E+00 + 8.0000E-01 1.250E-01 1.240E+00 + 6.8750E-01 1.375E-01 2.000E+00 + 7.3750E-01 1.375E-01 1.870E+00 + 7.8750E-01 1.375E-01 1.283E+00 + 6.7500E-01 1.500E-01 2.000E+00 + 7.2500E-01 1.500E-01 1.980E+00 + 7.7500E-01 1.500E-01 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4.5000E-01 8.000E-01 1.230E+00 + 5.0000E-01 8.000E-01 1.224E+00 + 5.5000E-01 8.000E-01 1.214E+00 + 6.0000E-01 8.000E-01 1.202E+00 + 1.2500E-02 8.125E-01 1.213E+00 + 6.2500E-02 8.125E-01 1.213E+00 + 1.1250E-01 8.125E-01 1.213E+00 + 1.6250E-01 8.125E-01 1.213E+00 + 2.1250E-01 8.125E-01 1.212E+00 + 2.6250E-01 8.125E-01 1.212E+00 + 3.1250E-01 8.125E-01 1.212E+00 + 3.6250E-01 8.125E-01 1.211E+00 + 4.1250E-01 8.125E-01 1.209E+00 + 4.6250E-01 8.125E-01 1.206E+00 + 0.0000E+00 8.250E-01 1.190E+00 + 5.0000E-02 8.250E-01 1.190E+00 + 1.0000E-01 8.250E-01 1.190E+00 + 1.5000E-01 8.250E-01 1.190E+00 + 2.0000E-01 8.250E-01 1.189E+00 + 2.5000E-01 8.250E-01 1.189E+00 + 3.0000E-01 8.250E-01 1.189E+00 + 3.5000E-01 8.250E-01 1.189E+00 + 4.0000E-01 8.250E-01 1.187E+00 + 4.5000E-01 8.250E-01 1.185E+00 + 5.0000E-01 8.250E-01 1.182E+00 + + Statistics: + Time = 0.2500 + Total number of accepted timesteps = 161 + Total number of rejected timesteps = 2 + + Total number (rounded) of + Residual Jacobian Newton Lin sys + evals evals iters iters + At level + 1 1000 200 400 400 + 2 200 20 50 50 + + Maximum number of + Newton iters Lin sys iters + At level + 1 4 3 + 2 4 1 diff --git a/simple_examples/baseresults/d03rbje.r b/simple_examples/baseresults/d03rbje.r new file mode 100644 index 0000000..f49a127 --- /dev/null +++ b/simple_examples/baseresults/d03rbje.r @@ -0,0 +1,59 @@ + D03RBJ Example Program Results + + Solution at every 2nd grid point in level 1 at time 1.0000: + + x y approx u exact u approx v exact v + + 0.00 0.00 0.50 0.50 1.00 1.00 + 0.20 0.00 0.50 0.50 1.00 1.00 + 0.10 0.10 0.50 0.50 1.00 1.00 + 0.30 0.10 0.50 0.50 1.00 1.00 + 0.50 0.10 0.50 0.50 1.00 1.00 + 0.70 0.10 0.50 0.50 1.00 1.00 + 0.90 0.10 0.50 0.50 1.00 1.00 + 0.00 0.20 0.50 0.50 1.00 1.00 + 0.20 0.20 0.50 0.50 1.00 1.00 + 0.40 0.20 0.50 0.50 1.00 1.00 + 0.60 0.20 0.50 0.50 1.00 1.00 + 0.80 0.20 0.50 0.50 1.00 1.00 + 1.00 0.20 0.50 0.50 1.00 1.00 + 0.10 0.30 0.50 0.50 1.00 1.00 + 0.30 0.30 0.50 0.50 1.00 1.00 + 0.50 0.30 0.50 0.50 1.00 1.00 + 0.70 0.30 0.50 0.50 1.00 1.00 + 0.90 0.30 0.50 0.50 1.00 1.00 + 0.00 0.40 0.75 0.75 0.75 0.75 + 0.20 0.40 0.50 0.50 1.00 1.00 + 0.40 0.40 0.50 0.50 1.00 1.00 + 0.80 0.40 0.50 0.50 1.00 1.00 + 1.00 0.40 0.50 0.50 1.00 1.00 + 0.10 0.50 0.75 0.75 0.75 0.75 + 0.30 0.50 0.50 0.50 1.00 1.00 + 0.50 0.50 0.50 0.50 1.00 1.00 + 0.70 0.50 0.50 0.50 1.00 1.00 + 0.90 0.50 0.50 0.50 1.00 1.00 + 0.00 0.60 0.75 0.75 0.75 0.75 + 0.20 0.60 0.75 0.75 0.75 0.75 + 0.40 0.60 0.50 0.50 1.00 1.00 + 0.60 0.60 0.50 0.50 1.00 1.00 + 0.80 0.60 0.50 0.50 1.00 1.00 + 1.00 0.60 0.50 0.50 1.00 1.00 + 0.10 0.70 0.75 0.75 0.75 0.75 + 0.30 0.70 0.75 0.75 0.75 0.75 + 0.50 0.70 0.50 0.50 1.00 1.00 + 0.70 0.70 0.50 0.50 1.00 1.00 + 0.90 0.70 0.50 0.50 1.00 1.00 + 0.00 0.80 0.75 0.75 0.75 0.75 + 0.20 0.80 0.75 0.75 0.75 0.75 + 0.40 0.80 0.75 0.75 0.75 0.75 + 0.60 0.80 0.50 0.50 1.00 1.00 + 0.80 0.80 0.50 0.50 1.00 1.00 + 0.10 0.90 0.75 0.75 0.75 0.75 + 0.30 0.90 0.75 0.75 0.75 0.75 + 0.50 0.90 0.75 0.75 0.75 0.75 + 0.70 0.90 0.50 0.50 1.00 1.00 + 0.00 1.00 0.75 0.75 0.75 0.75 + 0.20 1.00 0.75 0.75 0.75 0.75 + 0.40 1.00 0.75 0.75 0.75 0.75 + 0.60 1.00 0.75 0.75 0.75 0.75 + 0.80 1.00 0.50 0.50 1.00 1.00 diff --git a/simple_examples/baseresults/d05baje.r b/simple_examples/baseresults/d05baje.r new file mode 100644 index 0000000..0833ea2 --- /dev/null +++ b/simple_examples/baseresults/d05baje.r @@ -0,0 +1,12 @@ +D05BAJ Example Program Results + +Size of workplace = 486 +Tolerance = 1.0000e-03 + +T Approx. Sol. True Sol. Est. Error Actual Error +3.33 1.80037 1.80033 8.03776e-05 2.38466e-05 +6.67 2.23916 2.23911 1.77740e-04 2.34772e-05 +10.00 2.54310 2.54304 2.45949e-04 2.24564e-05 +13.33 2.77587 2.77581 3.05737e-04 2.17430e-05 +16.67 2.96456 2.96450 3.61698e-04 2.13821e-05 +20.00 3.12324 3.12317 4.17127e-04 2.13102e-05 diff --git a/simple_examples/baseresults/d05beje.r b/simple_examples/baseresults/d05beje.r new file mode 100644 index 0000000..95731f4 --- /dev/null +++ b/simple_examples/baseresults/d05beje.r @@ -0,0 +1,46 @@ +D05BEJ Example Program Results + +Example 1 + +The stepsize h = 0.1000 + + T Approximate + Solution + + 0.5000 0.1191 + 1.0000 0.0528 + 1.5000 0.0265 + 2.0000 0.0146 + 2.5000 0.0086 + 3.0000 0.0052 + 3.5000 0.0033 + 4.0000 0.0022 + 4.5000 0.0014 + 5.0000 0.0010 + 5.5000 0.0007 + 6.0000 0.0004 + 6.5000 0.0003 + 7.0000 0.0002 + +The maximum absolute error, 2.86e-03, occured at T = 0.1000 with solution 0.0326 + + +Example 2 + +The stepsize h = 0.0714 + + T Approximate + Solution + + 0.5000 0.6667 + 1.0000 0.5000 + 1.5000 0.4000 + 2.0000 0.3333 + 2.5000 0.2857 + 3.0000 0.2500 + 3.5000 0.2222 + 4.0000 0.2000 + 4.5000 0.1818 + 5.0000 0.1667 + +The maximum absolute error, 3.17e-06, occured at T = 0.0714 with solution 0.9333 \ No newline at end of file diff --git a/simple_examples/baseresults/dtfsmje.r b/simple_examples/baseresults/dtfsmje.r new file mode 100644 index 0000000..761a9ed --- /dev/null +++ b/simple_examples/baseresults/dtfsmje.r @@ -0,0 +1,10 @@ + DTFSMJ Example Program Results + + The Solution + 1 2 3 4 + 1 13.5562 5.7677 9.7251 1.2209 + 2 -10.1040 -1.9787 -8.9252 -4.4205 + 3 -0.8280 0.2386 2.0348 2.0769 + 4 2.8488 -7.1745 -3.7925 -2.9505 + 5 -3.9321 0.8652 -1.4082 3.1217 + 6 -2.3127 1.8398 2.0152 1.5198 diff --git a/simple_examples/baseresults/e01daje.r b/simple_examples/baseresults/e01daje.r new file mode 100644 index 0000000..a9c2ddb --- /dev/null +++ b/simple_examples/baseresults/e01daje.r @@ -0,0 +1,25 @@ + E01DAJ Example Program Results + + I Knot LAMDA(I) J Knot MU(j) + 4 1.0000 4 0.0000 + 5 1.3000 5 0.4000 + 6 1.5000 6 0.7000 + 7 1.6000 7 1.0000 + 8 2.0000 + + The B-Spline coefficients: + 1.0000 1.1333 1.3667 1.7000 1.9000 2.0000 1.2000 1.3333 + 1.5667 1.9000 2.1000 2.2000 1.5833 1.7167 1.9500 2.2833 + 2.4833 2.5833 2.1433 2.2767 2.5100 2.8433 3.0433 3.1433 + 2.8667 3.0000 3.2333 3.5667 3.7667 3.8667 3.4667 3.6000 + 3.8333 4.1667 4.3667 4.4667 4.0000 4.1333 4.3667 4.7000 + 4.9000 5.0000 + + Spline evaluated on a regular mesh (X across, Y down): + 1.00 1.20 1.40 1.60 1.80 2.00 + 0.00 1.000 1.440 1.960 2.560 3.240 4.000 + 0.20 1.200 1.640 2.160 2.760 3.440 4.200 + 0.40 1.400 1.840 2.360 2.960 3.640 4.400 + 0.60 1.600 2.040 2.560 3.160 3.840 4.600 + 0.80 1.800 2.240 2.760 3.360 4.040 4.800 + 1.00 2.000 2.440 2.960 3.560 4.240 5.000 diff --git a/simple_examples/baseresults/e02alje.r b/simple_examples/baseresults/e02alje.r new file mode 100644 index 0000000..6dfc758 --- /dev/null +++ b/simple_examples/baseresults/e02alje.r @@ -0,0 +1,24 @@ +E02ALJ Example Program Results + + Polynomial coefficients + 1.0000e+00 + 1.0001e+00 + 4.9909e-01 + 1.7042e-01 + 3.4784e-02 + 1.3909e-02 + + Reference deviation = 1.09e-06 + + X Fit exp(x) Residual + 0.00 1.0000 1.0000 -1.09e-06 + 0.10 1.1052 1.1052 9.74e-07 + 0.20 1.2214 1.2214 -7.44e-07 + 0.30 1.3499 1.3499 -9.18e-07 + 0.40 1.4918 1.4918 2.99e-07 + 0.50 1.6487 1.6487 1.09e-06 + 0.60 1.8221 1.8221 4.59e-07 + 0.70 2.0138 2.0138 -8.16e-07 + 0.80 2.2255 2.2255 -8.42e-07 + 0.90 2.4596 2.4596 8.75e-07 + 1.00 2.7183 2.7183 -1.09e-06 diff --git a/simple_examples/baseresults/e04abje.r b/simple_examples/baseresults/e04abje.r new file mode 100644 index 0000000..18b685b --- /dev/null +++ b/simple_examples/baseresults/e04abje.r @@ -0,0 +1,6 @@ +E04ABJ Example Program Results + +The minimum lies in the interval 4.49340940 to 4.49340951 +Its estimated position is 4.49340945, +where the function value is -0.2172 +10 function evaluations were required diff --git a/simple_examples/baseresults/e04bbje.r b/simple_examples/baseresults/e04bbje.r new file mode 100644 index 0000000..86a41ba --- /dev/null +++ b/simple_examples/baseresults/e04bbje.r @@ -0,0 +1,7 @@ +E04BBJ Example Program Results + +The minimum lies in the interval 4.49340946 to 4.49340952 +Its estimated position is 4.49340946, +where the function value is -0.2172 +and the gradient is -3.8e-16 (machine dependent) +6 function evaluations were required diff --git a/simple_examples/baseresults/e04cbje.r b/simple_examples/baseresults/e04cbje.r new file mode 100644 index 0000000..67cd53d --- /dev/null +++ b/simple_examples/baseresults/e04cbje.r @@ -0,0 +1,4 @@ +E04CBJ Example Program Results + +The final function value is 0.0000 +at the point 0.5000 -0.9999 diff --git a/simple_examples/baseresults/e04fcje.r b/simple_examples/baseresults/e04fcje.r new file mode 100644 index 0000000..bd90f04 --- /dev/null +++ b/simple_examples/baseresults/e04fcje.r @@ -0,0 +1,22 @@ + E04FCJ Example Program Results + + On exit, the sum of squares is 0.0082 + at the point 0.0824 1.1330 2.3437 + The estimated gradient is -1.607e-09 -7.436e-11 6.130e-10 + (machine dependent) + and the residuals are + -5.9e-03 + -2.7e-04 + 2.7e-04 + 6.5e-03 + -8.2e-04 + -1.3e-03 + -4.5e-03 + -2.0e-02 + 8.2e-02 + -1.8e-02 + -1.5e-02 + -1.5e-02 + -1.1e-02 + -4.2e-03 + 6.8e-03 diff --git a/simple_examples/baseresults/e04ffje.r b/simple_examples/baseresults/e04ffje.r new file mode 100644 index 0000000..a772ab7 --- /dev/null +++ b/simple_examples/baseresults/e04ffje.r @@ -0,0 +1,73 @@ + E04FFJ Example Program Results + + --------------------------------------------------- + E04F(G|F)), Derivative free solver for data fitting + (nonlinear least-squares problems) + --------------------------------------------------- + + Problem statistics + Number of variables 4 + Number of unconstrained variables 2 + Number of fixed variables 0 + Starting interpolation points 5 + Total interpolation points 5 + Number of residuals 11 + + Begin of Options + Print File = 6 * d + Print Level = 2 * d + Print Options = Yes * d + Print Solution = All * U + Monitoring File = -1 * d + Monitoring Level = 4 * d + Dfo Print Frequency = 1 * d + Dfo Monitor Frequency = 0 * d + + Infinite Bound Size = 1.00000E+20 * d + Stats Time = No * d + Time Limit = 1.00000E+06 * d + + Dfo Initial Interp Points = Coordinate * d + Dfo Max Objective Calls = 500 * d + Dfo Max Soft Restarts = 5 * d + Dfo Max Unsucc Soft Restarts = 3 * d + Dfo Maximum Slow Steps = 20 * d + Dfo Noise Level = 0.00000E+00 * d + Dfo Noisy Problem = No * d + Dfo Number Initial Points = 0 * d + Dfo Number Interp Points = 0 * d + Dfo Number Soft Restarts Pts = 3 * d + Dfo Random Seed = -1 * d + Dfo Starting Trust Region = 1.00000E-01 * d + Dfo Trust Region Slow Tol = 1.02648E-04 * d + Dfo Trust Region Tolerance = 5.00000E-06 * U + Dfo Version = Latest * d + Dfls Small Residuals Tol = 1.08158E-12 * d + End of Options + ---------------------------------------- + step | obj rho | nf | + ---------------------------------------- + 1 | 1.72E-03 1.00E-01 | 6 | + 2 | 6.41E-04 1.00E-01 | 7 | + 3 | 4.52E-04 1.00E-01 | 8 | + 4 | 4.05E-04 1.00E-02 | 9 | + 5 | 4.04E-04 1.00E-02 | 10 | + 6 | 4.03E-04 1.00E-02 | 14 | + 7 | 4.02E-04 1.00E-02 | 15 | + 8 | 4.02E-04 1.00E-03 | 20 | + 9 | 4.02E-04 7.07E-05 | 21 | + 10 | 4.02E-04 7.07E-05 | 23 | s + ---------------------------------------- + Status: Converged, small trust region size + + Value of the objective 4.02423E-04 + Number of objective function evaluations 27 + Number of steps 10 + + + Primal variables: + idx Lower bound Value Upper bound + 1 -inf 1.81300E-01 inf + 2 2.00000E-01 5.90128E-01 1.00000E+00 + 3 -inf 2.56929E-01 inf + 4 3.00000E-01 3.00000E-01 inf diff --git a/simple_examples/baseresults/e04gbje.r b/simple_examples/baseresults/e04gbje.r new file mode 100644 index 0000000..6e9e25e --- /dev/null +++ b/simple_examples/baseresults/e04gbje.r @@ -0,0 +1,22 @@ + E04GBJ Example Program Results + + On exit, the sum of squares is 0.0082 + at the point 0.0824 1.1330 2.3437 + The corresponding gradient is 1.199E-09 -1.865E-11 1.807E-11 + (machine dependent) + and the residuals are + -5.9E-03 + -2.7E-04 + 2.7E-04 + 6.5E-03 + -8.2E-04 + -1.3E-03 + -4.5E-03 + -2.0E-02 + 8.2E-02 + -1.8E-02 + -1.5E-02 + -1.5E-02 + -1.1E-02 + -4.2E-03 + 6.8E-03 diff --git a/simple_examples/baseresults/e04ggje.r b/simple_examples/baseresults/e04ggje.r new file mode 100644 index 0000000..b5dd970 --- /dev/null +++ b/simple_examples/baseresults/e04ggje.r @@ -0,0 +1,44 @@ + E04GGJ Example Program Results + + E04GG, Nonlinear least squares method for bound-constrained problems + Begin of Options + Print File = 6 * d + Print Level = 1 * U + Print Options = Yes * d + Print Solution = No * d + Monitoring File = -1 * d + Monitoring Level = 4 * d + + Infinite Bound Size = 1.00000E+20 * d + Stats Time = No * d + Time Limit = 1.00000E+06 * d + + Bxnl Model = Gauss-newton * U + Bxnl Nlls Method = Galahad * d + Bxnl Glob Method = Reg * U + Bxnl Reg Order = Auto * d + Bxnl Tn Method = Min-1-var * d + Bxnl Basereg Type = None * d + Bxnl Basereg Pow = 2.00000E+00 * d + Bxnl Basereg Term = 1.00000E-02 * d + Bxnl Iteration Limit = 1000 * d + Bxnl Monitor Frequency = 0 * d + Bxnl Print Header = 30 * d + Bxnl Save Covariance Matrix = No * d + Bxnl Stop Abs Tol Fun = 1.05367E-08 * d + Bxnl Stop Abs Tol Grd = 1.05737E-05 * d + Bxnl Stop Rel Tol Fun = 1.05367E-08 * d + Bxnl Stop Rel Tol Grd = 1.05367E-08 * d + Bxnl Stop Step Tol = 2.22045E-16 * d + Bxnl Use Second Derivatives = Yes * U + Bxnl Use Weights = No * d + End of Options + + Status: converged, an optimal solution was found + Value of the objective 2.17328E-06 + Norm of projected gradient 1.51989E-08 + Norm of scaled projected gradient 7.29019E-06 + Norm of step 4.98107E-04 + +Solver stored solution iterate in the handle +X: 4.45E-01 1.87E+00 3.07E+00 4.64E+00 -9.98E-01 4.64E+00 diff --git a/simple_examples/baseresults/e04mtje.r b/simple_examples/baseresults/e04mtje.r new file mode 100644 index 0000000..033d40f --- /dev/null +++ b/simple_examples/baseresults/e04mtje.r @@ -0,0 +1,162 @@ + E04MTJ Example Program Results + +++++++++++ Use the Primal-Dual algorithm ++++++++++ + + ---------------------------------------------- + E04MT, Interior point method for LP problems + ---------------------------------------------- + + Original Problem Statistics + + Number of variables 7 + Number of constraints 7 + Free variables 0 + Number of nonzeros 41 + + + Presolved Problem Statistics + + Number of variables 13 + Number of constraints 7 + Free variables 0 + Number of nonzeros 47 + + + ------------------------------------------------------------------------------ + it| pobj | dobj | optim | feas | compl | mu | mcc | I + ------------------------------------------------------------------------------ + 0 -7.86591E-02 1.71637E-02 1.27E+00 1.06E+00 8.89E-02 1.5E-01 + 1 5.74135E-03 -2.24369E-02 6.11E-16 1.75E-01 2.25E-02 2.8E-02 0 + 2 1.96803E-02 1.37067E-02 5.06E-16 2.28E-02 2.91E-03 3.4E-03 0 + 3 2.15232E-02 1.96162E-02 7.00E-15 9.24E-03 1.44E-03 1.7E-03 0 + 4 2.30321E-02 2.28676E-02 1.15E-15 2.21E-03 2.97E-04 3.4E-04 0 + 5 2.35658E-02 2.35803E-02 1.32E-15 1.02E-04 8.41E-06 9.6E-06 0 + 6 2.35965E-02 2.35965E-02 1.64E-15 7.02E-08 6.35E-09 7.2E-09 0 +Iteration 7 + monit() reports good approximate solution (tol = 1.20E-08): + 7 2.35965E-02 2.35965E-02 1.35E-15 3.52E-11 3.18E-12 3.6E-12 0 + ------------------------------------------------------------------------------ + Status: converged, an optimal solution found + ------------------------------------------------------------------------------ + Final primal objective value 2.359648E-02 + Final dual objective value 2.359648E-02 + Absolute primal infeasibility 4.168797E-15 + Relative primal infeasibility 1.350467E-15 + Absolute dual infeasibility 5.084353E-11 + Relative dual infeasibility 3.518607E-11 + Absolute complementarity gap 2.685778E-11 + Relative complementarity gap 3.175366E-12 + Iterations 7 + + Primal variables: + idx Lower bound Value Upper bound + 1 -1.00000E-02 -1.00000E-02 1.00000E-02 + 2 -1.00000E-01 -1.00000E-01 1.50000E-01 + 3 -1.00000E-02 3.00000E-02 3.00000E-02 + 4 -4.00000E-02 2.00000E-02 2.00000E-02 + 5 -1.00000E-01 -6.74853E-02 5.00000E-02 + 6 -1.00000E-02 -2.28013E-03 inf + 7 -1.00000E-02 -2.34528E-04 inf + + Box bounds dual variables: + idx Lower bound Value Upper bound Value + 1 -1.00000E-02 3.30098E-01 1.00000E-02 0.00000E+00 + 2 -1.00000E-01 1.43844E-02 1.50000E-01 0.00000E+00 + 3 -1.00000E-02 0.00000E+00 3.00000E-02 9.09967E-02 + 4 -4.00000E-02 0.00000E+00 2.00000E-02 7.66124E-02 + 5 -1.00000E-01 3.51391E-11 5.00000E-02 0.00000E+00 + 6 -1.00000E-02 3.42902E-11 inf 0.00000E+00 + 7 -1.00000E-02 8.61040E-12 inf 0.00000E+00 + + Constraints dual variables: + idx Lower bound Value Upper bound Value + 1 -1.30000E-01 0.00000E+00 -1.30000E-01 1.43111E+00 + 2 -inf 0.00000E+00 -4.90000E-03 4.00339E-10 + 3 -inf 0.00000E+00 -6.40000E-03 1.54305E-08 + 4 -inf 0.00000E+00 -3.70000E-03 3.80136E-10 + 5 -inf 0.00000E+00 -1.20000E-03 4.72629E-11 + 6 -9.92000E-02 1.50098E+00 inf 0.00000E+00 + 7 -3.00000E-03 1.51661E+00 2.00000E-03 0.00000E+00 + +++++++++++ Use the Self-Dual algorithm ++++++++++ + + ---------------------------------------------- + E04MT, Interior point method for LP problems + ---------------------------------------------- + + Original Problem Statistics + + Number of variables 7 + Number of constraints 7 + Free variables 0 + Number of nonzeros 41 + + + Presolved Problem Statistics + + Number of variables 13 + Number of constraints 7 + Free variables 0 + Number of nonzeros 47 + + + ------------------------------------------------------------------------------ + it| pobj | dobj | p.inf | d.inf | d.gap | tau | mcc | I + ------------------------------------------------------------------------------ + 0 -6.39941E-01 4.94000E-02 1.07E+01 2.69E+00 5.54E+00 1.0E+00 + 1 -8.56025E-02 -1.26938E-02 2.07E-01 2.07E-01 2.07E-01 1.7E+00 0 + 2 4.09196E-03 1.24373E-02 4.00E-02 4.00E-02 4.00E-02 2.8E+00 0 + 3 1.92404E-02 2.03658E-02 6.64E-03 6.64E-03 6.64E-03 3.2E+00 1 + 4 1.99631E-02 2.07574E-02 3.23E-03 3.23E-03 3.23E-03 2.3E+00 1 + 5 2.03834E-02 2.11141E-02 1.68E-03 1.68E-03 1.68E-03 1.4E+00 0 + 6 2.22419E-02 2.25057E-02 5.73E-04 5.73E-04 5.73E-04 1.4E+00 1 + 7 2.35051E-02 2.35294E-02 6.58E-05 6.58E-05 6.58E-05 1.4E+00 6 + 8 2.35936E-02 2.35941E-02 1.19E-06 1.19E-06 1.19E-06 1.4E+00 0 +Iteration 9 + monit() reports good approximate solution (tol = 1.20E-08): + 9 2.35965E-02 2.35965E-02 5.37E-10 5.37E-10 5.37E-10 1.4E+00 0 +Iteration 10 + monit() reports good approximate solution (tol = 1.20E-08): + 10 2.35965E-02 2.35965E-02 2.68E-13 2.68E-13 2.68E-13 1.4E+00 0 + ------------------------------------------------------------------------------ + Status: converged, an optimal solution found + ------------------------------------------------------------------------------ + Final primal objective value 2.359648E-02 + Final dual objective value 2.359648E-02 + Absolute primal infeasibility 2.853383E-12 + Relative primal infeasibility 2.677658E-13 + Absolute dual infeasibility 1.485749E-12 + Relative dual infeasibility 2.679654E-13 + Absolute complementarity gap 7.228861E-13 + Relative complementarity gap 2.683908E-13 + Iterations 10 + + Primal variables: + idx Lower bound Value Upper bound + 1 -1.00000E-02 -1.00000E-02 1.00000E-02 + 2 -1.00000E-01 -1.00000E-01 1.50000E-01 + 3 -1.00000E-02 3.00000E-02 3.00000E-02 + 4 -4.00000E-02 2.00000E-02 2.00000E-02 + 5 -1.00000E-01 -6.74853E-02 5.00000E-02 + 6 -1.00000E-02 -2.28013E-03 inf + 7 -1.00000E-02 -2.34528E-04 inf + + Box bounds dual variables: + idx Lower bound Value Upper bound Value + 1 -1.00000E-02 3.30098E-01 1.00000E-02 0.00000E+00 + 2 -1.00000E-01 1.43844E-02 1.50000E-01 0.00000E+00 + 3 -1.00000E-02 0.00000E+00 3.00000E-02 9.09967E-02 + 4 -4.00000E-02 0.00000E+00 2.00000E-02 7.66124E-02 + 5 -1.00000E-01 3.66960E-12 5.00000E-02 0.00000E+00 + 6 -1.00000E-02 2.47652E-11 inf 0.00000E+00 + 7 -1.00000E-02 7.82645E-13 inf 0.00000E+00 + + Constraints dual variables: + idx Lower bound Value Upper bound Value + 1 -1.30000E-01 0.00000E+00 -1.30000E-01 1.43111E+00 + 2 -inf 0.00000E+00 -4.90000E-03 1.07904E-10 + 3 -inf 0.00000E+00 -6.40000E-03 1.14799E-09 + 4 -inf 0.00000E+00 -3.70000E-03 4.09190E-12 + 5 -inf 0.00000E+00 -1.20000E-03 1.52421E-12 + 6 -9.92000E-02 1.50098E+00 inf 0.00000E+00 + 7 -3.00000E-03 1.51661E+00 2.00000E-03 0.00000E+00 diff --git a/simple_examples/baseresults/e04mxje.r b/simple_examples/baseresults/e04mxje.r new file mode 100644 index 0000000..1928db4 --- /dev/null +++ b/simple_examples/baseresults/e04mxje.r @@ -0,0 +1,38 @@ + E04MXJ Example Program Results + + MPSX INPUT LISTING + ------------------ + Searching for indicator line + Line 1: Found NAME indicator line + Query mode - Ignoring NAME data. + Line 2: Found ROWS indicator line + Query mode - Counting ROWS data. + Line 7: Found COLUMNS indicator line + Query mode - Counting COLUMNS data. + Line 26: Found RHS indicator line + Query mode - Ignoring RHS data. + Line 31: Found RANGES indicator line + Query mode - Ignoring RANGES data. + Line 35: Found BOUNDS indicator line + Query mode - Counting BOUNDS data. + Line 54: Found QUADOBJ indicator line + Query mode - Counting QUADOBJ data. + Query mode - End of QUADOBJ data. Exit + + MPSX INPUT LISTING + ------------------ + Searching for indicator line + Line 1: Found NAME indicator line + Line 2: Found ROWS indicator line + Line 7: Found COLUMNS indicator line + Line 26: Found RHS indicator line + Line 31: Found RANGES indicator line + Line 35: Found BOUNDS indicator line + Line 54: Found QUADOBJ indicator line + Line 64: Found ENDATA indicator line + + Problem contains 9 variables and 4 linear constraints + + Final objective value = -8.068E+00 + Optimal X = + 2.00 -0.23 -0.27 -0.30 -0.10 2.00 2.00 -1.78 -0.46 diff --git a/simple_examples/baseresults/e04ncje.r b/simple_examples/baseresults/e04ncje.r new file mode 100644 index 0000000..65a6326 --- /dev/null +++ b/simple_examples/baseresults/e04ncje.r @@ -0,0 +1,23 @@ + E04NCJ Example Program Results + + Varbl Istate Value Lagr Mult + + V 1 1 0.000E+00 1.572E-01 + V 2 0 4.153E-02 0.000E+00 + V 3 0 5.872E-01 0.000E+00 + V 4 1 0.000E+00 8.782E-01 + V 5 0 9.964E-02 0.000E+00 + V 6 1 0.000E+00 1.473E-01 + V 7 0 4.906E-02 0.000E+00 + V 8 1 0.000E+00 8.603E-01 + V 9 0 3.056E-01 0.000E+00 + + + L Con Istate Value Lagr Mult + + L 1 1 2.000E+00 3.777E-01 + L 2 2 2.000E+00 -5.791E-02 + L 3 1 1.000E+00 1.075E-01 + + + Final objective value = 8.134E-02 diff --git a/simple_examples/baseresults/e04nfje.r b/simple_examples/baseresults/e04nfje.r new file mode 100644 index 0000000..13101d2 --- /dev/null +++ b/simple_examples/baseresults/e04nfje.r @@ -0,0 +1,66 @@ + E04NFJ Example Program Results + + *** e04nf + + Parameters + ---------- + + Problem type........... QP2 + + Linear constraints..... 7 Feasibility tolerance.. 1.05E-08 + Variables.............. 7 Optimality tolerance... 1.05E-08 + Hessian rows........... 7 Rank tolerance......... 1.11E-14 + + Infinite bound size.... 1.00E+20 COLD start............. + Infinite step size..... 1.00E+20 EPS (machine precision) 1.11E-16 + + Check frequency........ 50 Expand frequency....... 5 + Minimum sum of infeas.. NO Crash tolerance........ 1.00E-02 + + Max degrees of freedom. 7 Print level............ 10 + Feasibility phase itns. 70 Monitoring file........ -1 + Optimality phase itns. 70 + + Workspace provided is IWORK( 17), WORK( 189). + To solve problem we need IWORK( 17), WORK( 189). + + + Itn Step Ninf Sinf/Objective Norm Gz + 0 0.0E+00 3 1.038000E-01 0.0E+00 + 1 4.1E-02 1 3.000000E-02 0.0E+00 + 2 4.2E-02 0 0.000000E+00 0.0E+00 + Itn 2 -- Feasible point found. + 2 0.0E+00 0 4.580000E-02 0.0E+00 + 3 1.3E-01 0 4.161596E-02 0.0E+00 + 4 1.0E+00 0 3.936227E-02 4.2E-17 + 5 4.1E-01 0 3.758935E-02 1.2E-02 + 6 1.0E+00 0 3.755377E-02 1.0E-17 + 7 1.0E+00 0 3.703165E-02 3.8E-17 + + + Varbl State Value Lower Bound Upper Bound Lagr Mult Slack + + V 1 LL -1.000000E-02 -1.000000E-02 1.000000E-02 0.4700 . + V 2 FR -6.986465E-02 -0.100000 0.150000 . 3.0135E-02 + V 3 FR 1.825915E-02 -1.000000E-02 3.000000E-02 . 1.1741E-02 + V 4 FR -2.426081E-02 -4.000000E-02 2.000000E-02 . 1.5739E-02 + V 5 FR -6.200564E-02 -0.100000 5.000000E-02 . 3.7994E-02 + V 6 FR 1.380544E-02 -1.000000E-02 None . 2.3805E-02 + V 7 FR 4.066496E-03 -1.000000E-02 None . 1.4066E-02 + + + L Con State Value Lower Bound Upper Bound Lagr Mult Slack + + L 1 EQ -0.130000 -0.130000 -0.130000 -1.908 -5.5511E-17 + L 2 FR -5.879898E-03 None -4.900000E-03 . 9.7990E-04 + L 3 UL -6.400000E-03 None -6.400000E-03 -0.3144 8.6736E-19 + L 4 FR -4.537323E-03 None -3.700000E-03 . 8.3732E-04 + L 5 FR -2.915996E-03 None -1.200000E-03 . 1.7160E-03 + L 6 LL -9.920000E-02 -9.920000E-02 None 1.955 . + L 7 LL -3.000000E-03 -3.000000E-03 2.000000E-03 1.972 4.3368E-18 + + Exit e04nf - Optimal QP solution. + + Final QP objective value = 0.3703165E-01 + + Exit from QP problem after 7 iterations. diff --git a/simple_examples/baseresults/e04nkje.r b/simple_examples/baseresults/e04nkje.r new file mode 100644 index 0000000..bbfdea9 --- /dev/null +++ b/simple_examples/baseresults/e04nkje.r @@ -0,0 +1,26 @@ +E04NKJ Example Program Results + + Variable Istate Value Lagr Mult + + ...X1... 0 0.00000 2361 + ...X2... 3 349.399 -3.657e-12 + ...X3... 2 648.853 -5.924e-12 + ...X4... 2 172.847 1.949e-12 + ...X5... 3 407.521 0.000 + ...X6... 3 271.356 -3.280e-12 + ...X7... 3 150.023 -1.413e-12 + + + Constrnt Istate Value Lagr Mult + + ..ROW1.. 0 2000.00 -1.290e+04 + ..ROW2.. 3 49.2316 0.000 + ..ROW3.. 1 100.000 -2325 + ..ROW4.. 3 32.0719 0.000 + ..ROW5.. 3 14.5572 0.000 + ..ROW6.. 0 1500.00 1.445e+04 + ..ROW7.. 0 250.000 1.458e+04 + ..COST.. 3 -2.98869e+06 -1.000 + + +Final objetive value = -1847785 diff --git a/simple_examples/baseresults/e04nqje.r b/simple_examples/baseresults/e04nqje.r new file mode 100644 index 0000000..8515ce8 --- /dev/null +++ b/simple_examples/baseresults/e04nqje.r @@ -0,0 +1,6 @@ + E04NQJ Example Program Results + + QP problem contains 7 variables and 8 linear constraints + + Final objective value = -1.848E+06 + Optimal X = 0.00 349.40 648.85 172.85 407.52 271.36 150.02 diff --git a/simple_examples/baseresults/e04ptje.r b/simple_examples/baseresults/e04ptje.r new file mode 100644 index 0000000..24d78ba --- /dev/null +++ b/simple_examples/baseresults/e04ptje.r @@ -0,0 +1,39 @@ +E04PTJ Example Program Results + + + ------------------------------------------------ + E04PT, Interior point method for SOCP problems + ------------------------------------------------ + + Begin of Options + Print File = 6 * d + Print Level = 1 * U + Print Options = Yes * d + Print Solution = No * d + Monitoring File = -1 * d + Monitoring Level = 4 * d + Socp Monitor Frequency = 1 * U + + Infinite Bound Size = 1.00000E+20 * d + Task = Minimize * d + Stats Time = No * d + Time Limit = 1.00000E+06 * d + + Socp Iteration Limit = 100 * d + Socp Max Iterative Refinement = 9 * d + Socp Presolve = Yes * d + Socp Scaling = None * d + Socp Stop Tolerance = 1.05367E-08 * d + Socp Stop Tolerance 2 = 1.05367E-08 * d + Socp System Formulation = Auto * d + End of Options + +monit() reports good approximate solution (tol = 1.00E-07) + Status: converged, an optimal solution found + Final primal objective value 2.571350E+00 + Final dual objective value 2.571350E+00 + Optimal X: + x_idx Value + 1 1.174E+00 + 2 -4.257E+00 + 3 9.814E-01 diff --git a/simple_examples/baseresults/e04rpje.r b/simple_examples/baseresults/e04rpje.r new file mode 100644 index 0000000..93e29fb --- /dev/null +++ b/simple_examples/baseresults/e04rpje.r @@ -0,0 +1,105 @@ +E04RPJ Example Program Results + +Passing SDP problem to solver + + Overview + Status: Problem and option settings are editable. + No of variables: 5 + Objective function: linear + Simple bounds: not defined yet + Linear constraints: not defined yet + Nonlinear constraints: not defined yet + Cone constraints: not defined yet + Matrix constraints: 2 + Matrix constraints + IDblk = 1, size = 2 x 2, polynomial of order 2 + IDblk = 2, size = 2 x 2, linear + E04SV, NLP-SDP Solver (Pennon) + ------------------------------ + Number of variables 5 [eliminated 0] + simple linear nonlin + (Standard) inequalities 0 0 0 + (Standard) equalities 0 0 + Matrix inequalities 1 1 [dense 2, sparse 0] + [max dimension 2] + + Begin of Options + Print File = 6 * d + Print Level = 2 * d + Print Options = Yes * d + Monitoring File = -1 * d + Monitoring Level = 4 * d + Monitor Frequency = 0 * d + + Infinite Bound Size = 1.00000E+20 * d + Task = Minimize * d + Stats Time = No * d + + Dimacs Measures = No * S + Hessian Density = Dense * S + Init Value P = 1.00000E+00 * d + Init Value Pmat = 1.00000E+00 * d + Initial P = Automatic * d + Initial U = Automatic * d + Initial X = User * d + Inner Iteration Limit = 100 * d + Inner Stop Criteria = Heuristic * d + Inner Stop Tolerance = 1.00000E-02 * d + Linesearch Mode = Goldstein * S + Outer Iteration Limit = 100 * d + P Min = 1.05367E-08 * d + P Update Speed = 12 * d + Pmat Min = 1.05367E-08 * d + Preference = Speed * d + Presolve Block Detect = Yes * d + Stop Criteria = Soft * d + Stop Tolerance 1 = 1.00000E-06 * d + Stop Tolerance 2 = 1.00000E-07 * d + Stop Tolerance Feasibility = 1.00000E-07 * d + Transform Constraints = No * S + U Update Restriction = 5.00000E-01 * d + Umat Update Restriction = 3.00000E-01 * d + End of Options + -------------------------------------------------------------- + it| objective | optim | feas | compl | pen min |inner + -------------------------------------------------------------- + 0 0.00000E+00 1.82E+01 1.00E+00 4.00E+00 2.00E+00 0 + 1 4.11823E+00 3.85E-03 0.00E+00 1.73E+00 2.00E+00 6 + 2 2.58252E+00 5.36E-03 0.00E+00 4.93E-01 9.04E-01 4 + 3 2.06132E+00 1.02E-03 0.00E+00 7.70E-02 4.08E-01 4 + 4 2.00050E+00 3.00E-03 8.91E-03 1.78E-02 1.85E-01 3 + 5 1.99929E+00 1.55E-03 3.16E-03 3.65E-03 8.34E-02 2 + 6 1.99985E+00 1.03E-04 3.16E-04 7.19E-04 3.77E-02 4 + 7 1.99997E+00 7.04E-04 5.76E-05 1.41E-04 1.70E-02 1 + 8 2.00000E+00 1.32E-04 6.52E-06 2.76E-05 7.70E-03 1 + 9 2.00000E+00 8.49E-06 7.86E-07 5.37E-06 3.48E-03 1 + 10 2.00000E+00 5.88E-07 1.06E-07 1.04E-06 1.57E-03 1 + 11 2.00000E+00 5.55E-08 4.87E-08 2.02E-07 7.11E-04 1 + 12 2.00000E+00 5.34E-09 5.37E-09 3.93E-08 3.21E-04 1 + 13 2.00000E+00 5.03E-10 5.45E-09 7.62E-09 1.45E-04 1 + 14 2.00000E+00 4.45E-11 5.55E-09 1.48E-09 6.56E-05 1 + -------------------------------------------------------------- + it| objective | optim | feas | compl | pen min |inner + -------------------------------------------------------------- + 15 2.00000E+00 4.36E-12 5.67E-09 2.87E-10 2.96E-05 1 + 16 2.00000E+00 1.61E-11 5.82E-09 5.57E-11 1.34E-05 1 + 17 2.00000E+00 3.13E-11 6.00E-09 1.08E-11 6.06E-06 1 + 18 2.00000E+00 8.65E-11 6.22E-09 2.10E-12 2.74E-06 1 + 19 2.00000E+00 1.31E-10 6.48E-09 4.07E-13 1.24E-06 1 + -------------------------------------------------------------- + Status: converged, an optimal solution found + -------------------------------------------------------------- + Final objective value 2.000000E+00 + Relative precision 8.141636E-16 + Optimality 1.310533E-10 + Feasibility 6.484489E-09 + Complementarity 4.066867E-13 + Iteration counts + Outer iterations 19 + Inner iterations 36 + Linesearch steps 56 + Evaluation counts + Augm. Lagr. values 76 + Augm. Lagr. gradient 56 + Augm. Lagr. hessian 36 + -------------------------------------------------------------- \ No newline at end of file diff --git a/simple_examples/baseresults/e04rsje.r b/simple_examples/baseresults/e04rsje.r new file mode 100644 index 0000000..170a9e9 --- /dev/null +++ b/simple_examples/baseresults/e04rsje.r @@ -0,0 +1,35 @@ + E04RSJ Example Program Results + E04PT, Interior point method for SOCP problems + Begin of Options + Print File = 6 * d + Print Level = 1 * U + Print Options = Yes * d + Print Solution = No * d + Monitoring File = -1 * d + Monitoring Level = 4 * d + Socp Monitor Frequency = 1 * U + + Infinite Bound Size = 1.00000E+20 * d + Task = Minimize * d + Stats Time = No * d + Time Limit = 1.00000E+06 * d + + Socp Iteration Limit = 100 * d + Socp Max Iterative Refinement = 9 * d + Socp Presolve = Yes * d + Socp Scaling = None * d + Socp Stop Tolerance = 1.05367E-08 * d + Socp Stop Tolerance 2 = 1.05367E-08 * d + Socp System Formulation = Auto * d + End of Options + + + monit() reports good approximate solution (tol = 1.00e-07) + Status: converged, an optimal solution found + Final primal objective value 2.571350E+00 + Final dual objective value 2.571350E+00 + Optimal X: + x_idx Value + 0 1.174e+00 + 1 -4.257e+00 + 2 9.814e-01 diff --git a/simple_examples/baseresults/e04rtje.r b/simple_examples/baseresults/e04rtje.r new file mode 100644 index 0000000..65ffe25 --- /dev/null +++ b/simple_examples/baseresults/e04rtje.r @@ -0,0 +1,35 @@ + E04RTJ Example Program Results + E04PT, Interior point method for SOCP problems + Begin of Options + Print File = 6 * d + Print Level = 1 * U + Print Options = Yes * d + Print Solution = No * d + Monitoring File = -1 * d + Monitoring Level = 4 * d + Socp Monitor Frequency = 1 * U + + Infinite Bound Size = 1.00000E+20 * d + Task = Minimize * d + Stats Time = No * d + Time Limit = 1.00000E+06 * d + + Socp Iteration Limit = 100 * d + Socp Max Iterative Refinement = 9 * d + Socp Presolve = Yes * d + Socp Scaling = None * d + Socp Stop Tolerance = 1.05367E-08 * d + Socp Stop Tolerance 2 = 1.05367E-08 * d + Socp System Formulation = Auto * d + End of Options + + + monit() reports good approximate solution (tol = 1.00e-07) + Status: converged, an optimal solution found + Final primal objective value 1.313004E-01 + Final dual objective value 1.313004E-01 + Optimal X: + x_idx Value + 0 1.000e+00 + 1 -9.722e-01 + 2 9.722e-01 diff --git a/simple_examples/baseresults/e04saje.r b/simple_examples/baseresults/e04saje.r new file mode 100644 index 0000000..c10990a --- /dev/null +++ b/simple_examples/baseresults/e04saje.r @@ -0,0 +1,33 @@ + E04SAJ Example Program Results + E04PT, Interior point method for SOCP problems + Begin of Options + Print File = 6 * d + Print Level = 1 * U + Print Options = Yes * d + Print Solution = No * d + Monitoring File = -1 * d + Monitoring Level = 4 * d + Socp Monitor Frequency = 0 * d + + Infinite Bound Size = 1.00000E+20 * d + Task = Minimize * d + Stats Time = No * d + Time Limit = 1.00000E+06 * d + + Socp Iteration Limit = 100 * d + Socp Max Iterative Refinement = 9 * d + Socp Presolve = Yes * d + Socp Scaling = None * d + Socp Stop Tolerance = 1.05367E-08 * d + Socp Stop Tolerance 2 = 1.05367E-08 * d + Socp System Formulation = Auto * d + End of Options + + Status: converged, an optimal solution found + Final primal objective value -1.951817E+01 + Final dual objective value -1.951817E+01 + Optimal X: + x_idx Value + 0 -1.26819e+00 + 1 -4.08429e-01 + 2 1.33234e+00 diff --git a/simple_examples/baseresults/e04taje.r b/simple_examples/baseresults/e04taje.r new file mode 100644 index 0000000..a6cf135 --- /dev/null +++ b/simple_examples/baseresults/e04taje.r @@ -0,0 +1,39 @@ + E04TAJ Example Program Results + + Solve the first LP + + E04MT, Interior point method for LP problems + Status: converged, an optimal solution found + Final primal objective value 8.500000E+02 + Final dual objective value 8.500000E+02 + + Primal variables: + idx Lower bound Value Upper bound + 1 0.00000E+00 2.00000E+02 inf + 2 0.00000E+00 1.00000E+02 1.00000E+02 + + The new variable has been added, solve the handle again + + E04MT, Interior point method for LP problems + Status: converged, an optimal solution found + Final primal objective value 9.000000E+02 + Final dual objective value 9.000000E+02 + + Primal variables: + idx Lower bound Value Upper bound + 1 0.00000E+00 5.00000E+01 inf + 2 0.00000E+00 1.00000E+02 1.00000E+02 + 3 0.00000E+00 5.00000E+01 5.00000E+01 + + The new constraint has been added, solve the handle again + + E04MT, Interior point method for LP problems + Status: converged, an optimal solution found + Final primal objective value 8.750000E+02 + Final dual objective value 8.750000E+02 + + Primal variables: + idx Lower bound Value Upper bound + 1 0.00000E+00 1.50000E+02 inf + 2 0.00000E+00 5.00000E+01 1.00000E+02 + 3 0.00000E+00 5.00000E+01 5.00000E+01 diff --git a/simple_examples/baseresults/e04tcje.r b/simple_examples/baseresults/e04tcje.r new file mode 100644 index 0000000..cd501a1 --- /dev/null +++ b/simple_examples/baseresults/e04tcje.r @@ -0,0 +1,58 @@ + E04TCJ Example Program Results + + First solve the problem with the outliers + + -------------------------------------------------------- + E04GG, Nonlinear least squares method for bound-constrained problems + Status: converged, an optimal solution was found + Value of the objective 1.05037E+00 + Norm of gradient 8.78014E-06 + Norm of scaled gradient 6.05781E-06 + Norm of step 1.47886E-01 + + Primal variables: + idx Lower bound Value Upper bound + 1 -inf 3.61301E-01 inf + 2 -inf 9.10227E-01 inf + 3 -inf 3.42138E-03 inf + 4 -inf -6.08965E+00 inf + 5 -inf 6.24881E-04 inf + -------------------------------------------------------- + + Now remove the outlier residuals from the problem handle + + -------------------------------------------------------- + E04GG, Nonlinear least squares method for bound-constrained problems + Status: converged, an optimal solution was found + Value of the objective 5.96811E-02 + Norm of gradient 1.19914E-06 + Norm of scaled gradient 3.47087E-06 + Norm of step 3.49256E-06 + + Primal variables: + idx Lower bound Value Upper bound + 1 -inf 3.53888E-01 inf + 2 -inf 1.06575E+00 inf + 3 -inf 1.91383E-03 inf + 4 -inf 2.17299E-01 inf + 5 -inf 5.17660E+00 inf + -------------------------------------------------------- + + Assuming the outliers points are measured again + we can enable the residuals and adjust the values + + -------------------------------------------------------- + E04GG, Nonlinear least squares method for bound-constrained problems + Status: converged, an optimal solution was found + Value of the objective 6.51802E-02 + Norm of gradient 2.57338E-07 + Norm of scaled gradient 7.12740E-07 + Norm of step 1.56251E-05 + + Primal variables: + idx Lower bound Value Upper bound + 1 3.00000E-01 3.00000E-01 3.00000E-01 + 2 -inf 1.06039E+00 inf + 3 -inf 2.11765E-02 inf + 4 -inf 2.11749E-01 inf + 5 -inf 5.16415E+00 inf diff --git a/simple_examples/baseresults/e04uc_example.r b/simple_examples/baseresults/e04uc_example.r new file mode 100644 index 0000000..abde1c6 --- /dev/null +++ b/simple_examples/baseresults/e04uc_example.r @@ -0,0 +1,95 @@ + E04UC_Example Example Program Results + + *** e04uc + + Parameters + ---------- + + Linear constraints..... 1 Variables.............. 4 + Nonlinear constraints.. 2 + + Infinite bound size.... 1.00E+20 COLD start............. + Infinite step size..... 1.00E+20 EPS (machine precision) 1.11E-16 + Step limit............. 2.00E+00 Hessian................ NO + + Linear feasibility..... 1.05E-08 Crash tolerance........ 1.00E-02 + Nonlinear feasibility.. 1.05E-08 Optimality tolerance... 3.26E-12 + Line search tolerance.. 9.00E-01 Function precision..... 4.37E-15 + + Derivative level....... 3 Monitoring file........ -1 + Verify level........... 0 + + Major iterations limit. 50 Major print level...... 10 + Minor iterations limit. 50 Minor print level...... 0 + + Start point + 1.000000E+00 5.000000E+00 5.000000E+00 1.000000E+00 + + Workspace provided is IWORK( 17), WORK( 185). + To solve problem we need IWORK( 17), WORK( 185). + + + Verification of the constraint gradients. + ----------------------------------------- + + The constraint Jacobian seems to be ok. + + The largest relative error was 2.29E-07 in constraint 2 + + + + Verification of the objective gradients. + ---------------------------------------- + + The objective gradients seem to be ok. + + Directional derivative of the objective 8.15250000E-01 + Difference approximation 8.15249734E-01 + + + Maj Mnr Step Merit Function Norm Gz Violtn Cond Hz + 0 4 0.0E+00 1.738281E+01 7.1E-01 1.2E+01 1.0E+00 + 1 1 1.0E+00 1.703169E+01 4.6E-02 1.9E+00 1.0E+00 + 2 1 1.0E+00 1.701442E+01 2.1E-02 8.8E-02 1.0E+00 + 3 1 1.0E+00 1.701402E+01 3.1E-04 5.4E-04 1.0E+00 + 4 1 1.0E+00 1.701402E+01 7.0E-06 9.9E-08 1.0E+00 + 5 1 1.0E+00 1.701402E+01 1.1E-08 4.6E-11 1.0E+00 + + Exit from NP problem after 5 major iterations, + 9 minor iterations. + + + Varbl State Value Lower Bound Upper Bound Lagr Mult Slack + + V 1 LL 1.00000 1.00000 5.00000 1.088 . + V 2 FR 4.74300 1.00000 5.00000 . 0.2570 + V 3 FR 3.82115 1.00000 5.00000 . 1.179 + V 4 FR 1.37941 1.00000 5.00000 . 0.3794 + + + L Con State Value Lower Bound Upper Bound Lagr Mult Slack + + L 1 FR 10.9436 None 20.0000 . 9.056 + + + N Con State Value Lower Bound Upper Bound Lagr Mult Slack + + N 1 UL 40.0000 None 40.0000 -0.1615 -3.5264E-11 + N 2 LL 25.0000 25.0000 None 0.5523 -2.8791E-11 + + Exit e04uc - Optimal solution found. + + Final objective value = 17.01402 + + Varbl Istate Value Lagr Mult + + V 0 1 1.000000 1.0879 + V 1 0 4.743000 0.0000 + V 2 0 3.821150 0.0000 + V 3 0 1.379408 0.0000 + + L Con Istate Value Lagr Mult + + L 0 0 10.943558 0.0000 + + Final objective value = 17.0140173 diff --git a/simple_examples/baseresults/e04ucje.r b/simple_examples/baseresults/e04ucje.r new file mode 100644 index 0000000..c024cfc --- /dev/null +++ b/simple_examples/baseresults/e04ucje.r @@ -0,0 +1,22 @@ + E04UCJ Example Program Results + + Varbl Istate Value Lagr Mult + + V 1 1 1.00000 1.088 + V 2 0 4.74300 0.000 + V 3 0 3.82115 0.000 + V 4 0 1.37941 0.000 + + + L Con Istate Value Lagr Mult + + L 1 0 10.9436 0.000 + + + N Con Istate Value Lagr Mult + + N 1 2 40.0000 -0.1615 + N 2 1 25.0000 0.5523 + + + Final objective value = 17.01402 diff --git a/simple_examples/baseresults/e04yaje.r b/simple_examples/baseresults/e04yaje.r new file mode 100644 index 0000000..463bd7f --- /dev/null +++ b/simple_examples/baseresults/e04yaje.r @@ -0,0 +1,25 @@ + E04YAJ Example Program Results + +The test point is + 0.19000 -1.34000 0.88000 + +1st derivatives are consistent with residual values + +At the test point, LSQFUN gives + + Residuals 1st derivatives + -2.029E-03 1.000E+00 -4.061E-02 -2.707E-03 + -1.076E-01 1.000E+00 -9.689E-02 -1.384E-02 + -2.330E-01 1.000E+00 -1.785E-01 -4.120E-02 + -3.785E-01 1.000E+00 -3.043E-01 -1.014E-01 + -5.836E-01 1.000E+00 -5.144E-01 -2.338E-01 + -8.689E-01 1.000E+00 -9.100E-01 -5.460E-01 + -1.346E+00 1.000E+00 -1.810E+00 -1.408E+00 + -2.374E+00 1.000E+00 -4.726E+00 -4.726E+00 + -2.975E+00 1.000E+00 -6.076E+00 -6.076E+00 + -4.013E+00 1.000E+00 -7.876E+00 -7.876E+00 + -5.323E+00 1.000E+00 -1.040E+01 -1.040E+01 + -7.292E+00 1.000E+00 -1.418E+01 -1.418E+01 + -1.057E+01 1.000E+00 -2.048E+01 -2.048E+01 + -1.713E+01 1.000E+00 -3.308E+01 -3.308E+01 + -3.681E+01 1.000E+00 -7.089E+01 -7.089E+01 diff --git a/simple_examples/baseresults/f01adje.r b/simple_examples/baseresults/f01adje.r new file mode 100644 index 0000000..c8570bc --- /dev/null +++ b/simple_examples/baseresults/f01adje.r @@ -0,0 +1,9 @@ + F01ADJ Example Program Results + + Lower triangle of inverse + 1 2 3 4 + 1 + 2 68.0000 + 3 -41.0000 25.0000 + 4 -17.0000 10.0000 5.0000 + 5 10.0000 -6.0000 -3.0000 2.0000 diff --git a/simple_examples/baseresults/f01ckje.r b/simple_examples/baseresults/f01ckje.r new file mode 100644 index 0000000..3264e43 --- /dev/null +++ b/simple_examples/baseresults/f01ckje.r @@ -0,0 +1,5 @@ + F01CKJ Example Program Results + + Matrix A + 5.0 8.0 + 8.0 14.0 diff --git a/simple_examples/baseresults/f01crje.r b/simple_examples/baseresults/f01crje.r new file mode 100644 index 0000000..0b33f3a --- /dev/null +++ b/simple_examples/baseresults/f01crje.r @@ -0,0 +1,6 @@ + F01CRJ Example Program Results + + 1.0 4.0 7.0 10.0 13.0 16.0 19.0 + 2.0 5.0 8.0 11.0 14.0 17.0 20.0 + 3.0 6.0 9.0 12.0 15.0 18.0 21.0 + diff --git a/simple_examples/baseresults/f01dgje.r b/simple_examples/baseresults/f01dgje.r new file mode 100644 index 0000000..85c8df1 --- /dev/null +++ b/simple_examples/baseresults/f01dgje.r @@ -0,0 +1,8 @@ +F01DGJ Example Program Results + + Solution matrix B + 1 2 3 4 + 1 2.1000 1.2600 2.4000 1.2600 + 2 3.2200 9.5480 6.5360 5.3320 + 3 9.3800 17.7240 20.7640 14.5920 + 4 2.6600 20.8600 11.6240 28.5400 diff --git a/simple_examples/baseresults/f01elje.r b/simple_examples/baseresults/f01elje.r new file mode 100644 index 0000000..06a7a20 --- /dev/null +++ b/simple_examples/baseresults/f01elje.r @@ -0,0 +1,10 @@ + F01ELJ Example Program Results + + F(A) = COS(2A) + 1 2 3 4 + 1 -0.1704 -1.1597 -0.1878 -0.7307 + 2 -0.3950 -0.4410 0.7606 0.0655 + 3 -0.0950 -0.0717 0.0619 -0.4351 + 4 -0.1034 0.6424 -1.3964 0.1042 + +Imnorm = 0.0 diff --git a/simple_examples/baseresults/f01emje.r b/simple_examples/baseresults/f01emje.r new file mode 100644 index 0000000..d805f3c --- /dev/null +++ b/simple_examples/baseresults/f01emje.r @@ -0,0 +1,10 @@ +F01EMJ Example Program Results + + F(A) = EXP(2A) + 1 2 3 4 + 1 -12.1880 0.0000 -3.4747 8.3697 + 2 -13.7274 54.5982 -23.9801 82.8593 + 3 -9.7900 0.0000 -25.4527 26.5294 + 4 -18.1597 0.0000 -34.8991 49.2404 + +Imnorm = 0.00 diff --git a/simple_examples/baseresults/f02ekje.r b/simple_examples/baseresults/f02ekje.r new file mode 100644 index 0000000..925d7cb --- /dev/null +++ b/simple_examples/baseresults/f02ekje.r @@ -0,0 +1,20 @@ + F02EKJ Example Program Results + +Iteration Limit= 500 + Arnoldi basis vectors used: 20 + The following Ritz values (mu) are related to the + true eigenvalues (lambda) by lambda = sigma + 1/mu + + Iteration number 1 + Ritz values converged so far ( 2) and their Ritz estimates: + 1 ( 5.69917E-01, 8.80810E-01) 1.30081E-20 + 2 ( 5.69917E-01, -8.80810E-01) 1.30081E-20 + Next (unconverged) Ritz value: + 3 ( 6.07774E-01, 0.00000E+00) + + The 5 Ritz values of closest to 5.50000E+00 are: + 1 ( 6.01781E+00 , -8.00277E-01 ) + 2 ( 6.01781E+00 , 8.00277E-01 ) + 3 ( 4.34309E+00 , -1.94557E+00 ) + 4 ( 4.34309E+00 , 1.94557E+00 ) + 5 ( 7.14535E+00 , 0.00000E+00 ) diff --git a/simple_examples/baseresults/f02fkje.r b/simple_examples/baseresults/f02fkje.r new file mode 100644 index 0000000..8217134 --- /dev/null +++ b/simple_examples/baseresults/f02fkje.r @@ -0,0 +1,14 @@ + F02FKJ Example Program Results + + Iteration Limit= 500 + + Ritz values and residuals + 1 2 + 1 1.9702E+01 5.6583E-13 + 2 4.9036E+01 7.2456E-13 + 3 4.9036E+01 7.0022E-13 + 4 7.8370E+01 8.8089E-13 + 5 9.7197E+01 8.7693E-13 + 6 9.7197E+01 8.7672E-13 + 7 1.2653E+02 6.8423E-13 + 8 1.2653E+02 9.8310E-13 diff --git a/simple_examples/baseresults/f02wgje.r b/simple_examples/baseresults/f02wgje.r new file mode 100644 index 0000000..b4e345c --- /dev/null +++ b/simple_examples/baseresults/f02wgje.r @@ -0,0 +1,7 @@ + F02WGJ Example Program Results + + Singular Value Residual + 0.00830 2.7E-19 + 0.01223 5.9E-18 + 0.02381 1.2E-17 + 0.11274 7.8E-17 diff --git a/simple_examples/baseresults/f03baje.r b/simple_examples/baseresults/f03baje.r new file mode 100644 index 0000000..c4c40d7 --- /dev/null +++ b/simple_examples/baseresults/f03baje.r @@ -0,0 +1,14 @@ +F03BAJ Example Program Results + + Array A after factorization + 1 2 3 + 1 33.0000 16.0000 72.0000 + 2 -0.7273 1.6364 -4.6364 + 3 -0.2424 -0.0741 0.1111 + +Pivots + 1 2 3 + +D = 0.37500 ID = 4 + +Value of determinant = 6.00000e+00 \ No newline at end of file diff --git a/simple_examples/baseresults/f04amje.r b/simple_examples/baseresults/f04amje.r new file mode 100644 index 0000000..86bd893 --- /dev/null +++ b/simple_examples/baseresults/f04amje.r @@ -0,0 +1,4 @@ +F04AMJ Example Program Results +Solution +1.3010 +0.7935 \ No newline at end of file diff --git a/simple_examples/baseresults/f04baje.r b/simple_examples/baseresults/f04baje.r new file mode 100644 index 0000000..eb52050 --- /dev/null +++ b/simple_examples/baseresults/f04baje.r @@ -0,0 +1,14 @@ +F04BAJ Example Program Results + + Solution + 1 2 + 1 1.0000 3.0000 + 2 -1.0000 2.0000 + 3 3.0000 4.0000 + 4 -5.0000 1.0000 + +Estimate of condition number +1.5e+02 + +Esttimate of error bound for computed solutions +1.7e-14 \ No newline at end of file diff --git a/simple_examples/baseresults/f05aaje.r b/simple_examples/baseresults/f05aaje.r new file mode 100644 index 0000000..74b6ae6 --- /dev/null +++ b/simple_examples/baseresults/f05aaje.r @@ -0,0 +1,11 @@ +F05AAJ Example Program Results + +N1 = 2 N2 = 4 + +CC = 0.5822 ICOL = 4 + +Final Vectors +-0.6325 0.3310 -0.5404 +0.3162 -0.2483 0.2119 +-0.6325 -0.0000 0.7735 +0.3162 0.9104 0.2543 \ No newline at end of file diff --git a/simple_examples/baseresults/f06clje.r b/simple_examples/baseresults/f06clje.r new file mode 100644 index 0000000..d167816 --- /dev/null +++ b/simple_examples/baseresults/f06clje.r @@ -0,0 +1,3 @@ + F06CLJ Example Program Results + + (1.0, 1.0)/(2.0, 2.0) = (0.5, 0.0) diff --git a/simple_examples/baseresults/f07aaje.r b/simple_examples/baseresults/f07aaje.r new file mode 100644 index 0000000..086448e --- /dev/null +++ b/simple_examples/baseresults/f07aaje.r @@ -0,0 +1,14 @@ + F07AAJ Example Program Results + + Solution + 1.0000 -1.0000 3.0000 -5.0000 + + Details of factorization + 1 2 3 4 + 1 5.2500 -2.9500 -0.9500 -3.8000 + 2 0.3429 3.8914 2.3757 0.4129 + 3 0.3010 -0.4631 -1.5139 0.2948 + 4 -0.2114 -0.3299 0.0047 0.1314 + + Pivot indices + 2 2 3 4 diff --git a/simple_examples/baseresults/f07abje.r b/simple_examples/baseresults/f07abje.r new file mode 100644 index 0000000..922ca67 --- /dev/null +++ b/simple_examples/baseresults/f07abje.r @@ -0,0 +1,23 @@ +F07ABJ Example Program Results + + Solution(s) + 1 2 + 1 1.0000 3.0000 + 2 -1.0000 2.0000 + 3 3.0000 4.0000 + 4 -5.0000 1.0000 + +Backward errors (machine-dependent) + 7.7e-17 5.8e-17 + +Estimated forward error bounds (machine-dependent) + 2.5e-14 3.4e-14 + +A has been row scaled as diag(R)*A + +Reciprocal condition number estimate of scaled matrix + 1.8e-02 + +Estimate of reciprocal pivot growth factor + 7.4e-01 + diff --git a/simple_examples/baseresults/f07adje.r b/simple_examples/baseresults/f07adje.r new file mode 100644 index 0000000..8aa1615 --- /dev/null +++ b/simple_examples/baseresults/f07adje.r @@ -0,0 +1,10 @@ +F07ADJ Example Program Results + + Details of factorization + 1 2 3 4 + 1 5.2500 -2.9500 -0.9500 -3.8000 + 2 0.3429 3.8914 2.3757 0.4129 + 3 0.3010 -0.4631 -1.5139 0.2948 + 4 -0.2114 -0.3299 0.0047 0.1314 +IPIV + 2 2 3 4 diff --git a/simple_examples/baseresults/f07aqje.r b/simple_examples/baseresults/f07aqje.r new file mode 100644 index 0000000..11cdfa0 --- /dev/null +++ b/simple_examples/baseresults/f07aqje.r @@ -0,0 +1,7 @@ + F07AQJ Example Program Results + + Solution + ( 1.0000, 1.0000) ( 2.0000,-3.0000) (-4.0000,-5.0000) ( 0.0000, 6.0000) + + Pivot indices + 3 2 3 4 diff --git a/simple_examples/baseresults/f07faje.r b/simple_examples/baseresults/f07faje.r new file mode 100644 index 0000000..381aa43 --- /dev/null +++ b/simple_examples/baseresults/f07faje.r @@ -0,0 +1,11 @@ + F07FAJ Example Program Results + + Solution + 1.0000 -1.0000 2.0000 -3.0000 + + Cholesky factor U + 1 2 3 4 + 1 2.0396 -1.5297 0.2746 -0.0490 + 2 1.6401 -0.2500 0.6737 + 3 0.7887 0.6617 + 4 0.5347 diff --git a/simple_examples/baseresults/f07fbje.r b/simple_examples/baseresults/f07fbje.r new file mode 100644 index 0000000..38b2bb5 --- /dev/null +++ b/simple_examples/baseresults/f07fbje.r @@ -0,0 +1,19 @@ + F07FBJ Example Program Results + + Solution(s) + 1 2 + 1 1.0000 4.0000 + 2 -1.0000 3.0000 + 3 2.0000 2.0000 + 4 -3.0000 1.0000 + + Backward errors (machine-dependent) + 6.7e-17 8.2e-17 + + Estimated forward error bounds (machine-dependent) + 2.3e-14 2.4e-14 + + Estimate of reciprocal condition number + 1.0e-02 + + A has not been equilibrated diff --git a/simple_examples/baseresults/f08btje.r b/simple_examples/baseresults/f08btje.r new file mode 100644 index 0000000..b663c71 --- /dev/null +++ b/simple_examples/baseresults/f08btje.r @@ -0,0 +1,16 @@ + F08BTJ Example Program Results + + Tolerance used to estimate the rank of A + 1.00E-02 + Estimated rank of A + 3 + Least squares solution(s) + + 1 2 + 1 ( 0.0000, 0.0000) ( 0.0000, 0.0000) + 2 ( 2.7020, 8.0911) (-2.2682,-2.9884) + 3 ( 2.8888, 2.5012) ( 0.9779, 1.3565) + 4 ( 2.7100, 0.4791) (-1.3734, 0.2212) + + Square root(s) of the residual sum(s) of squares + 2.51E-01 8.10E-02 diff --git a/simple_examples/baseresults/f08faje.r b/simple_examples/baseresults/f08faje.r new file mode 100644 index 0000000..31df0c1 --- /dev/null +++ b/simple_examples/baseresults/f08faje.r @@ -0,0 +1,16 @@ + F08FAJ Example Program Results + + Eigenvalues + -2.0531 -0.5146 -0.2943 12.8621 + Eigenvectors + 1 2 3 4 + 1 0.7003 -0.5144 -0.2767 0.4103 + 2 0.3592 0.4851 0.6634 0.4422 + 3 -0.1569 0.5420 -0.6504 0.5085 + 4 -0.5965 -0.4543 0.2457 0.6144 + + Error estimate for the eigenvalues + 1.4e-15 + + Error estimates for the eigenvectors + 9.3e-16 6.5e-15 6.5e-15 1.1e-16 diff --git a/simple_examples/baseresults/f08xpje.r b/simple_examples/baseresults/f08xpje.r new file mode 100644 index 0000000..96e35e9 --- /dev/null +++ b/simple_examples/baseresults/f08xpje.r @@ -0,0 +1,8 @@ +F08XPJ Example Program Results + +Number of eigenvalues for which SELCTG is true = 2 +(dimension of deflating subspaces) + +Selected generalized eigenvalues + 1 (2.00, -5.00) + 2 (3.00, -1.00) diff --git a/simple_examples/baseresults/g01alje.r b/simple_examples/baseresults/g01alje.r new file mode 100644 index 0000000..3473f35 --- /dev/null +++ b/simple_examples/baseresults/g01alje.r @@ -0,0 +1,7 @@ +G01ALJ Example Program Results + +Maximum 12.0000 +Upper Hinge (75% quantile) 9.5000 +Median (50% quantile) 6.5000 +Lower Hinge (25% quantile) 2.5000 +Minimum 1.0000 diff --git a/simple_examples/baseresults/g02akje.r b/simple_examples/baseresults/g02akje.r new file mode 100644 index 0000000..a4260ce --- /dev/null +++ b/simple_examples/baseresults/g02akje.r @@ -0,0 +1,14 @@ +G02AKJ Example Program Results + + NCM with rank constraint + 1 2 3 4 + 1 1.0000 -0.9021 0.2448 0.1975 + 2 -0.9021 1.0000 -0.6392 0.2448 + 3 0.2448 -0.6392 1.0000 -0.9021 + 4 0.1975 0.2448 -0.9021 1.0000 + +Number of subproblems solved: 4 + +Squared Frobenius norm of difference: 0.3082 + +Rank error: 0.0000 diff --git a/simple_examples/baseresults/g02bjje.r b/simple_examples/baseresults/g02bjje.r new file mode 100644 index 0000000..053b912 --- /dev/null +++ b/simple_examples/baseresults/g02bjje.r @@ -0,0 +1,38 @@ + G02BJJ Example Program Results + + Number of variables (columns) = 4 + Number of cases (rows) = 5 + + Data matrix is:- + 1 2 3 4 + 1 3.0000 3.0000 1.0000 2.0000 + 2 6.0000 4.0000 -1.0000 4.0000 + 3 9.0000 0.0000 5.0000 9.0000 + 4 12.0000 2.0000 0.0000 0.0000 + 5 -1.0000 5.0000 4.0000 12.0000 + + Variable Mean St.dev. + 4 6.7500 4.5735 + 1 7.5000 3.8730 + 2 3.5000 1.2910 + + Sums of squares and cross-products of deviations + 4 1 2 + 4 62.7500 21.0000 10.0000 + 1 21.0000 45.0000 -6.0000 + 2 10.0000 -6.0000 5.0000 + + Correlation coefficients + 4 1 2 + 4 1.0000 0.9707 0.9449 + 1 0.9707 1.0000 -0.6547 + 2 0.9449 -0.6547 1.0000 + + Minimum number of cases used for any pair of variables: 3 + + Numbers used for each pair are: + 4 1 2 + 4 4.0000 3.0000 3.0000 + 1 3.0000 4.0000 3.0000 + 2 3.0000 3.0000 4.0000 + diff --git a/simple_examples/baseresults/g02brje.r b/simple_examples/baseresults/g02brje.r new file mode 100644 index 0000000..7621bb4 --- /dev/null +++ b/simple_examples/baseresults/g02brje.r @@ -0,0 +1,29 @@ +G02BRJ Example Program Results + +Number of variables (columns) = 3 +Number of case (rows) = 9 + +Data matrix is:- + + + 1 2 3 + 1 1.7000 1.0000 0.5000 + 2 2.8000 4.0000 3.0000 + 3 0.6000 6.0000 2.5000 + 4 1.8000 9.0000 6.0000 + 5 0.9900 4.0000 2.5000 + 6 1.4000 2.0000 5.5000 + 7 1.8000 9.0000 7.5000 + 8 2.5000 7.0000 0.0000 + 9 0.9900 5.0000 3.0000 + +Matrix of rank correlation coefficients: +Upper triangle -- Spearman's +Lower triangle -- Kendall's tau + + 1 2 3 + 1 1.0000 0.2941 0.4058 + 2 0.1429 1.0000 0.7537 + 3 0.2760 0.5521 1.0000 + +Number of cases actually used: 6 diff --git a/simple_examples/baseresults/g02daje.r b/simple_examples/baseresults/g02daje.r new file mode 100644 index 0000000..9c6e2f0 --- /dev/null +++ b/simple_examples/baseresults/g02daje.r @@ -0,0 +1,31 @@ +G02DAJ Example Program Results + +Model not of full rank, rank = 4 +Residual sum of squares = 2.2227e+01 +Degrees of freedom = 8 +R-squared = 7.0042e-01 +Adjusted R-squared = 5.8808e-01 +AIC = 1.5397e+01 + +Variable Parameter estimate Standard error + + 1 3.0557e+01 3.8494e-01 + 2 5.4467e+00 8.3896e-01 + 3 6.7433e+00 8.3896e-01 + 4 1.1047e+01 8.3896e-01 + 5 7.3200e+00 8.3896e-01 + + Obs Residuals H + + 1 -2.3733e+00 3.3333e-01 + 2 1.7433e+00 3.3333e-01 + 3 8.8000e-01 3.3333e-01 + 4 -1.4333e-01 3.3333e-01 + 5 1.4333e-01 3.3333e-01 + 6 -1.4700e+00 3.3333e-01 + 7 -1.8867e+00 3.3333e-01 + 8 5.7667e-01 3.3333e-01 + 9 1.3167e+00 3.3333e-01 + 10 1.7967e+00 3.3333e-01 + 11 -1.1733e+00 3.3333e-01 + 12 5.9000e-01 3.3333e-01 diff --git a/simple_examples/baseresults/g02eeje.r b/simple_examples/baseresults/g02eeje.r new file mode 100644 index 0000000..c66f9b6 --- /dev/null +++ b/simple_examples/baseresults/g02eeje.r @@ -0,0 +1,20 @@ + G02EEJ Example Program Results + + Step 1 + Added variable is TS + Change in residual sum of squares = 4.7126E-01 + F Statistic = 7.38 + + Variables in model: COD TS + + Residual sum of squares = 1.0850E+00 + Degrees of freedom = 17 + + Free variables: TKN BOD TVS + Change in residual sums of squares for free variables: + 0.1175 0.0600 0.2276 + Step 2 + No further variables added maximum F = 1.59 + Free variables: TKN BOD TVS + Change in residual sums of squares for free variables: + 0.0979 0.0207 0.0217 diff --git a/simple_examples/baseresults/g02maje.r b/simple_examples/baseresults/g02maje.r new file mode 100644 index 0000000..dd042fa --- /dev/null +++ b/simple_examples/baseresults/g02maje.r @@ -0,0 +1,23 @@ +G02MAJ Example Program Results + + Step Parameter Estimate +------------------------------------------------------ + 1 0.000 0.000 3.125 0.000 0.000 0.000 + 2 0.000 0.000 3.792 0.000 0.000 -0.713 + 3 -0.446 0.000 3.998 0.000 0.000 -1.151 + 4 -0.628 -0.295 4.098 0.000 0.000 -1.466 + 5 -1.060 -1.056 4.110 -0.864 0.000 -1.948 + 6 -1.073 -1.132 4.118 -0.935 -0.059 -1.981 + +alpha: -50.037 + + Step Sum RSS df Cp Ck Step Size +--------------------------------------------------------- + 1 72.446 8929.855 3 13.355 123.227 72.446 + 2 103.385 6404.701 7 7.054 50.781 24.841 + 3 126.243 5258.247 51 5.286 30.836 16.225 + 4 145.277 4657.051 25 5.309 19.319 11.587 + 5 198.223 3959.401 126 5.016 12.266 24.520 + 6 203.529 3954.571 5258 7.000 0.910 2.198 + +sigma^2: 304.198 diff --git a/simple_examples/baseresults/g03gaje.r b/simple_examples/baseresults/g03gaje.r new file mode 100644 index 0000000..37ab236 --- /dev/null +++ b/simple_examples/baseresults/g03gaje.r @@ -0,0 +1,79 @@ + G03GAJ Example Program Results + + + Mixing proportions + 1 2 + 1 0.4798 0.5202 + + Group means + 1 2 + 1 4.0041 3.3350 + 2 3.9949 3.4434 + 3 5.5894 4.9870 + 4 5.4432 5.3602 + + Pooled Variance-covariance matrix + 1 2 3 4 + 1 0.4539 0.2891 0.6075 0.3413 + 2 0.2891 0.2048 0.4101 0.2490 + 3 0.6075 0.4101 1.0648 0.6011 + 4 0.3413 0.2490 0.6011 0.3759 + + Densities + 1 2 + 1 2.5836E-01 1.1853E-02 + 2 3.7065E-07 1.1241E-01 + 3 5.3069E-03 1.8080E-06 + 4 4.2461E-01 2.8584E-05 + 5 5.0387E-02 1.1544E+00 + 6 1.1260E+00 7.2224E-02 + 7 2.0911E+00 2.1224E-02 + 8 5.7856E-03 1.3227E+00 + 9 1.1609E+00 2.9411E-02 + 10 8.9826E-02 2.4260E-05 + 11 3.0170E-01 1.0106E+00 + 12 1.2930E+00 3.5422E-01 + 13 2.8644E-02 6.7851E-07 + 14 2.0759E-02 3.1690E+00 + 15 7.6461E-02 1.5231E+00 + 16 3.0279E-04 8.4017E-01 + 17 5.6101E-01 4.6699E-05 + 18 2.6573E-05 6.4442E-01 + 19 2.1250E+00 5.1006E-02 + 20 8.6822E-04 2.7626E+00 + 21 1.9223E-01 2.3971E+00 + 22 1.2469E-02 2.8179E+00 + 23 1.8389E-02 5.3572E-01 + 24 1.2409E+00 9.6489E-03 + 25 2.1037E-05 4.8674E-02 + + Membership probabilities + 1 2 + 1 9.5018E-01 4.9823E-02 + 2 3.3259E-06 1.0000E+00 + 3 9.9961E-01 3.8664E-04 + 4 9.9992E-01 7.9913E-05 + 5 3.8999E-02 9.6100E-01 + 6 9.3270E-01 6.7295E-02 + 7 9.8881E-01 1.1190E-02 + 8 4.1252E-03 9.9587E-01 + 9 9.7252E-01 2.7479E-02 + 10 9.9969E-01 3.0805E-04 + 11 2.1722E-01 7.8278E-01 + 12 7.6938E-01 2.3062E-01 + 13 9.9997E-01 2.6937E-05 + 14 6.1133E-03 9.9389E-01 + 15 4.4189E-02 9.5581E-01 + 16 3.5006E-04 9.9965E-01 + 17 9.9990E-01 9.7029E-05 + 18 4.0270E-05 9.9996E-01 + 19 9.7380E-01 2.6202E-02 + 20 3.0204E-04 9.9970E-01 + 21 6.9471E-02 9.3053E-01 + 22 4.1603E-03 9.9584E-01 + 23 3.0839E-02 9.6916E-01 + 24 9.9116E-01 8.8421E-03 + 25 4.1534E-04 9.9958E-01 + +No. iterations: 14 +Log-likelihood: -29.6831 diff --git a/simple_examples/baseresults/g05kfje.r b/simple_examples/baseresults/g05kfje.r new file mode 100644 index 0000000..830c10a --- /dev/null +++ b/simple_examples/baseresults/g05kfje.r @@ -0,0 +1,7 @@ +G05KFJ Example Program Results + +0.6364 +0.1065 +0.7460 +0.7983 +0.1046 \ No newline at end of file diff --git a/simple_examples/baseresults/g13awje.r b/simple_examples/baseresults/g13awje.r new file mode 100644 index 0000000..25be8b6 --- /dev/null +++ b/simple_examples/baseresults/g13awje.r @@ -0,0 +1,4 @@ + G13AWJ Example Program Results + +Dickey-Fuller test statistic = -2.540 +associated p-value = 0.013 diff --git a/simple_examples/baseresults/g13meje.r b/simple_examples/baseresults/g13meje.r new file mode 100644 index 0000000..07a391e --- /dev/null +++ b/simple_examples/baseresults/g13meje.r @@ -0,0 +1,39 @@ +G13MEJ Example Program Results + + Iterated + Time EMA + +-------------------------------- + 1 7.5 0.531 + 2 8.2 0.544 + 3 18.1 0.754 + 4 22.8 0.406 + 5 25.8 0.232 + + 6 26.8 0.217 + 7 31.1 0.357 + 8 38.4 0.630 + 9 45.9 0.263 + 10 48.2 0.241 + 11 48.9 0.279 + 12 57.9 0.713 + 13 58.5 0.717 + 14 63.9 0.385 + 15 65.2 0.346 + + 16 66.6 0.330 + 17 67.4 0.315 + 18 69.3 0.409 + 19 69.9 0.459 + 20 73.0 0.377 + 21 75.6 0.411 + 22 77.0 0.536 + 23 84.7 0.632 + 24 86.8 0.538 + 25 88.0 0.444 + 26 88.5 0.401 + 27 91.0 0.331 + 28 93.0 0.495 + 29 93.7 0.585 + 30 94.0 0.612 + diff --git a/simple_examples/baseresults/g13naje.r b/simple_examples/baseresults/g13naje.r new file mode 100644 index 0000000..b87dda8 --- /dev/null +++ b/simple_examples/baseresults/g13naje.r @@ -0,0 +1,11 @@ +G13NAJ Example Program Results + + -- Charge Points -- --- Distribution --- + Number Position Parameters +================================================= + 1 12 0.34 1.00 + 2 32 2.57 1.00 + 3 49 1.45 1.00 + 4 52 -0.48 1.00 + 5 70 1.20 1.00 + 6 100 -0.23 1.00 diff --git a/simple_examples/baseresults/h02bbje.r b/simple_examples/baseresults/h02bbje.r new file mode 100644 index 0000000..64136ef --- /dev/null +++ b/simple_examples/baseresults/h02bbje.r @@ -0,0 +1,79 @@ +H02BBJ Example Program Results + + + *** IP solver + + Parameters + ---------- + + Linear constraints...... 3 First integer solution.. OFF + Variables............... 2 Max depth of the tree... 4 + + Feasibility tolerance... 1.05E-08 Print level............. 10 + Infinite bound size..... 1.00E+20 EPS (machine precision). 1.11E-16 + + Integer feasibility tol. 1.00E-05 Iteration limit......... 50 + Max number of nodes..... NONE + + ** Workspace provided with MAXDPT = 4: LRWORK = 84 LIWORK = 137 + ** Workspace required with MAXDPT = 4: LRWORK = 84 LIWORK = 137 + + + *** Optimum LP solution *** -17.50000 + + + Varbl State Value Lower Bound Upper Bound Lagr Mult Residual + + V 1 FR 3.92857 0.00000 None 0.000 3.929 + V 2 FR 1.42857 0.00000 None 0.000 1.429 + + + L Con State Value Lower Bound Upper Bound Lagr Mult Residual + + L 1 UL 15.0000 None 15.0000 -1.000 0.000 + L 2 UL 5.00000 None 5.00000 -0.5000 -8.8818E-16 + L 3 FR 14.6429 5.00000 None 0.000 9.643 + + + *** Start of tree search *** + + + Node Parent Obj Varbl Value Lower Upper Value Depth + No Node Value Chosen Before Bound Bound After + 2 1 No Feas Soln 1 3.93 4.00 None 4.00 1 + 3 1 -16.2 1 3.93 0.00 3.00 3.00 1 + 4 3 -15.5 2 1.80 2.00 None 2.00 2 + 5 3 -13.0 2 1.80 0.00 1.00 1.00 2 + *** Integer solution *** + + + Node Parent Obj Varbl Value Lower Upper Value Depth + No Node Value Chosen Before Bound Bound After + 6 4 No Feas Soln 1 2.50 3.00 3.00 3.00 3 + 7 4 -14.8 1 2.50 0.00 2.00 2.00 3 + 8 7 -12.0 CO 2 2.20 3.00 None 3.00 4 + 9 7 -14.0 2 2.20 2.00 2.00 2.00 4 + *** Integer solution *** + + *** End of tree search *** + + + Total of 9 nodes investigated. + + Exit IP solver - Optimum IP solution found. + + Final IP objective value = -14.00000 + + + + Varbl State Value Lower Bound Upper Bound Lagr Mult Residual + + V 1 UL 2.00000 0.00000 2.00000 -3.000 0.000 + V 2 EQ 2.00000 2.00000 2.00000 -4.000 0.000 + + + L Con State Value Lower Bound Upper Bound Lagr Mult Residual + + L 1 FR 14.0000 None 15.0000 0.000 1.000 + L 2 FR 0.00000 None 5.00000 0.000 5.000 + L 3 FR 10.0000 5.00000 None 0.000 5.000 diff --git a/simple_examples/baseresults/h02daje.r b/simple_examples/baseresults/h02daje.r new file mode 100644 index 0000000..125c5bf --- /dev/null +++ b/simple_examples/baseresults/h02daje.r @@ -0,0 +1,14 @@ +H02DAJ Example Program Results + + Final Esimate: + 1 + 1 0.3750 + 2 0.0000 + 3 0.5250 + 4 0.1000 + 5 1.0000 + 6 0.0000 + 7 1.0000 + 8 1.0000 +Requested accuracy of QP subproblems 1.0000e-10 +Optimised value: 2.925 diff --git a/simple_examples/baseresults/m01ccje.r b/simple_examples/baseresults/m01ccje.r new file mode 100644 index 0000000..33e1712 --- /dev/null +++ b/simple_examples/baseresults/m01ccje.r @@ -0,0 +1,15 @@ + M01CCJ Example Program Results + + Records sorted on columns 7 to 12 + + C05AZF 2181 + C05AUF 1351 + C02AEF 599 + A02ACF 531 + A02ABF 523 + A02AAF 289 + C05AVF 240 + C05AXF 211 + C05AYF 183 + C02ADF 169 + C05AWF 136 diff --git a/simple_examples/baseresults/nagcomplexexample.r b/simple_examples/baseresults/nagcomplexexample.r new file mode 100644 index 0000000..2040ba1 --- /dev/null +++ b/simple_examples/baseresults/nagcomplexexample.r @@ -0,0 +1,60 @@ +Please read the source of NAGComplexExample.java for a better understanding of how to use NAGComplex + +*****BASICS***** + +Constructing z1 and z2; +z1 = (0.0, 0.0) +z2 = (2.0, 3.0) + +Changing z1 values using NAGComplex.setRe() and NAGComplex.setIm(); +z1 = (3.0, 4.0) + +Copying z2 to z3 using NAGComplex.clone(); +z3 = (2.0, 3.0) +Copying z1 to z4 using static method NAGComplex.clone(NAGComplex z) +z4 = (3.0, 4.0) + +Array created using NAGComplex.createArray(5); +(0.0, 0.0) (0.0, 0.0) (0.0, 0.0) (0.0, 0.0) (0.0, 0.0) + +The same array updated using NAGComplex[i].setRe() and NAGComplex[i].setIm(); +(1.0, 9.0) (2.0, 8.0) (3.0, 7.0) (4.0, 6.0) (5.0, 5.0) + +*****ARITHMETIC***** + +z1 = (3.0, 4.0) +z2 = (2.0, 3.0) +z3 = (6.0, -2.0) +z4 = (4.0, -5.0) + +z1 + z2 = (5.0, 7.0) +z3 + z4 = (10.0, -7.0) + +z1 - z2 = (1.0, 1.0) +z3 - z4 = (2.0, 3.0) + +z1 * z2 = (-6.0, 17.0) +z3 * z4 = (14.0, -38.0) + +z1 / z2 = (1.3846153846153846, -0.07692307692307696) +z3 / z4 = (0.829268292682927, 0.5365853658536587) + +-(z1) = (-3.0, -4.0) +-(z2) = (-2.0, -3.0) + +conjugate(z1) = (3.0, -4.0) +conjugate(z2) = (2.0, -3.0) + +z3 == z4? - false +z4 = (6.0, -2.0) +z3 == z4? - true +|z1| = 5.0 +|z2| = 3.6055512754639896 + +arg(z1) = 0.9272952180016122 +arg(z2) = 0.982793723247329 + +z5 = (-5.0, 12.0) +z6 = (-9.0, 40.0) +Sqrt(z5) = (2.0, 3.0) +Sqrt(z6) = (4.0, 5.0) \ No newline at end of file diff --git a/simple_examples/baseresults/outputexample.r b/simple_examples/baseresults/outputexample.r new file mode 100644 index 0000000..76fc07e --- /dev/null +++ b/simple_examples/baseresults/outputexample.r @@ -0,0 +1,10 @@ + *** Start of NAG Library implementation details *** + + Implementation title: Linux, 64-bit, Intel C/C++ or Intel Fortran + Precision: double precision + Product Code: NLL6I27DBL + Mark: 27.2.0 (self-contained) + + This is a 64-bit library using 32-bit integers. + + *** End of NAG Library implementation details *** diff --git a/simple_examples/baseresults/s01baje.r b/simple_examples/baseresults/s01baje.r new file mode 100644 index 0000000..b3b20dd --- /dev/null +++ b/simple_examples/baseresults/s01baje.r @@ -0,0 +1,9 @@ +S01BAJ Example Program Results + + X Y + 2.5000e+00 1.2528e+00 + 1.2500e-01 1.1778e-01 + -9.0600e-01 -2.3645e+00 + 1.2900e-03 1.2892e-03 + -7.8300e-06 -7.8300e-06 + 1.0000e-09 1.0000e-09 diff --git a/simple_examples/baseresults/s10aaje.r b/simple_examples/baseresults/s10aaje.r new file mode 100644 index 0000000..eac481e --- /dev/null +++ b/simple_examples/baseresults/s10aaje.r @@ -0,0 +1,7 @@ +S10AAJ Example Program Results + + X Y + -2.000e+01 -1.000e+00 + -5.000e+00 -9.999e-01 + 5.000e-01 4.621e-01 + 5.000e+00 9.999e-01 diff --git a/simple_examples/baseresults/s10abje.r b/simple_examples/baseresults/s10abje.r new file mode 100644 index 0000000..54e3b1c --- /dev/null +++ b/simple_examples/baseresults/s10abje.r @@ -0,0 +1,8 @@ +S10ABJ Example Program Results + + X Y + -1.000e+01 -1.101e+04 + -5.000e-01 -5.211e-01 + 0.000e+00 0.000e+00 + 5.000e-01 5.211e-01 + 2.500e+01 3.600e+10 diff --git a/simple_examples/baseresults/s10acje.r b/simple_examples/baseresults/s10acje.r new file mode 100644 index 0000000..e71c76b --- /dev/null +++ b/simple_examples/baseresults/s10acje.r @@ -0,0 +1,8 @@ +S10ACJ Example Program Results + + X Y + -1.000e+01 1.101e+04 + -5.000e-01 1.128e+00 + 0.000e+00 1.000e+00 + 5.000e-01 1.128e+00 + 2.500e+01 3.600e+10 diff --git a/simple_examples/baseresults/s14abje.r b/simple_examples/baseresults/s14abje.r new file mode 100644 index 0000000..86c60ea --- /dev/null +++ b/simple_examples/baseresults/s14abje.r @@ -0,0 +1,12 @@ +S14ABJ Example Program Results + + X Y + 1.000e+00 0.000e+00 + 1.250e+00 -9.827e-02 + 1.500e+00 -1.208e-01 + 1.750e+00 -8.440e-02 + 2.000e+00 0.000e+00 + 5.000e+00 3.178e+00 + 1.000e+01 1.280e+01 + 2.000e+01 3.934e+01 + 1.000e+03 5.905e+03 diff --git a/simple_examples/baseresults/s14acje.r b/simple_examples/baseresults/s14acje.r new file mode 100644 index 0000000..cda0185 --- /dev/null +++ b/simple_examples/baseresults/s14acje.r @@ -0,0 +1,8 @@ +S14ACJ Example Program Results + + X psi(X)-log(X) + + 0.1000 -8.1212 + 0.5000 -1.2704 + 3.6000 -0.1453 + 8.0000 -0.0638 diff --git a/simple_examples/baseresults/s14afje.r b/simple_examples/baseresults/s14afje.r new file mode 100644 index 0000000..68a5fd5 --- /dev/null +++ b/simple_examples/baseresults/s14afje.r @@ -0,0 +1,5 @@ +S14AFJ Example Program Results + + Z K (d^K/dz^K)psi(Z) + + (-1.5, 2.5) 1 (-1.9737e-01, -2.4271e-01) diff --git a/simple_examples/baseresults/s17dcje.r b/simple_examples/baseresults/s17dcje.r new file mode 100644 index 0000000..845aae3 --- /dev/null +++ b/simple_examples/baseresults/s17dcje.r @@ -0,0 +1,10 @@ +S17DCF Example Program Results + +Calling with N = 2 + +FNU Z SCAL CY[0] CY[1] NZ +0.0000 (0.3000, 0.4000) U (-0.4983, 0.6700) (-1.0149, 0.9485) 0 +2.3000 (2.0000, 0.0000) U (-0.7398, 0.0000) (-1.4120, 0.0000) 0 +2.1200 (-1.0000, 0.0000) U (-1.7279, 0.8602) (6.5331, -2.6154) 0 +1.5800 (-2.3000, 5.6000) U (36.4755, -1.5521) (-2.6788, 25.9112) 0 +1.5800 (-2.3000, 5.6000) S (0.1349, -0.0057) (-0.0099, 0.0958) 0 diff --git a/simple_examples/baseresults/s17dgje.r b/simple_examples/baseresults/s17dgje.r new file mode 100644 index 0000000..c26ff48 --- /dev/null +++ b/simple_examples/baseresults/s17dgje.r @@ -0,0 +1,9 @@ + S17DGJ Example Program Results + + DERIV Z SCAL AI NZ + + F ( 0.3000, 0.4000) U ( 0.2716, -0.1002) 0 + F ( 0.2000, 0.0000) U ( 0.3037, 0.0000) 0 + F ( 1.1000, -6.6000) U (-43.6632,-47.9030) 0 + F ( 1.1000, -6.6000) S ( 0.1655, 0.0597) 0 + D ( -1.0000, 0.0000) U ( -0.0102, 0.0000) 0 diff --git a/simple_examples/baseresults/s30aaje.r b/simple_examples/baseresults/s30aaje.r new file mode 100644 index 0000000..32fc477 --- /dev/null +++ b/simple_examples/baseresults/s30aaje.r @@ -0,0 +1,16 @@ +S30AAJ Example Program Results + +Black-Scholes-Merton formula +European Call : + Spot = 55.0000 + Volatility = 0.3000 + Rate = 0.1000 + Dividend = 0.0000 + + Strike Expiry Option Price + 58.0000 0.7000 5.9198 + 58.0000 0.8000 6.5506 + 60.0000 0.7000 5.0809 + 60.0000 0.8000 5.6992 + 62.0000 0.7000 4.3389 + 62.0000 0.8000 4.9379 diff --git a/simple_examples/baseresults/s30acje.r b/simple_examples/baseresults/s30acje.r new file mode 100644 index 0000000..134730e --- /dev/null +++ b/simple_examples/baseresults/s30acje.r @@ -0,0 +1,9 @@ + S30ACJ Example Program Results + + SIGMA IVALID + + 7.834E-01 0 + 7.386E-01 0 + 4.096E-01 0 + 4.085E-01 0 + 4.179E-01 0 diff --git a/simple_examples/baseresults/simpleroutineexample.r b/simple_examples/baseresults/simpleroutineexample.r new file mode 100644 index 0000000..e1f6a4e --- /dev/null +++ b/simple_examples/baseresults/simpleroutineexample.r @@ -0,0 +1,15 @@ + C05AZ Example Program results: + + Iterations + + X = 0.00000 FX= 1.0000e+00 IND = 2 + X = 1.00000 FX= -6.3212e-01 IND = 3 + X = 0.61270 FX= -7.0814e-02 IND = 4 + X = 0.56707 FX= 1.1542e-04 IND = 4 + X = 0.56714 FX= -9.4481e-07 IND = 4 + X = 0.56713 FX= 1.4727e-05 IND = 4 + X = 0.56714 FX= -9.4481e-07 IND = 4 + + Solution + + X = 0.56714 Y = 0.56713 diff --git a/simple_examples/baseresults/userdefinedfunctionexample1.r b/simple_examples/baseresults/userdefinedfunctionexample1.r new file mode 100644 index 0000000..c2fd510 --- /dev/null +++ b/simple_examples/baseresults/userdefinedfunctionexample1.r @@ -0,0 +1 @@ +The result is -0.03183098861837909 diff --git a/simple_examples/baseresults/userdefinedfunctionexample2.r b/simple_examples/baseresults/userdefinedfunctionexample2.r new file mode 100644 index 0000000..c2fd510 --- /dev/null +++ b/simple_examples/baseresults/userdefinedfunctionexample2.r @@ -0,0 +1 @@ +The result is -0.03183098861837909 diff --git a/simple_examples/baseresults/x03aaje.r b/simple_examples/baseresults/x03aaje.r new file mode 100644 index 0000000..d2b7138 --- /dev/null +++ b/simple_examples/baseresults/x03aaje.r @@ -0,0 +1,3 @@ +X03AAF Example Program Results + +D1 = -5.0 D2 = 0.0 \ No newline at end of file diff --git a/simple_examples/baseresults/x04cbje.r b/simple_examples/baseresults/x04cbje.r new file mode 100644 index 0000000..6b842ef --- /dev/null +++ b/simple_examples/baseresults/x04cbje.r @@ -0,0 +1,21 @@ +X04CBJ Example Program Results + + Example 1 + 1 2 3 4 5 + 1 11.0000 12.0000 13.0000 14.0000 15.0000 + 2 21.0000 22.0000 23.0000 24.0000 25.0000 + 3 31.0000 32.0000 33.0000 34.0000 35.0000 + + Example 2: + Un Deux Trois Quatre Cinq + Uno 11.00 12.00 13.00 14.00 15.00 + Due 22.00 23.00 24.00 25.00 + Tre 33.00 34.00 35.00 + Quattro 44.00 45.00 + Cinque 55.00 + + A = [ + 11.00 0.00 0.00 0.00 0.00; + 21.00 22.00 0.00 0.00 0.00; + 31.00 32.00 33.00 0.00 0.00; + ]; diff --git a/simple_examples/baseresults/x05abje.r b/simple_examples/baseresults/x05abje.r new file mode 100644 index 0000000..f94235c --- /dev/null +++ b/simple_examples/baseresults/x05abje.r @@ -0,0 +1,2 @@ + X05ABJ Example Program Results +Tue 14th Jul 1789 13:11:48.320 diff --git a/simple_examples/data/c02abje.d b/simple_examples/data/c02abje.d new file mode 100644 index 0000000..3f2dfd1 --- /dev/null +++ b/simple_examples/data/c02abje.d @@ -0,0 +1,14 @@ +C02ABJ Example Program Data + +Example 1: Basic Problem + 6 : Degree, n + 3.5 : Coefficients, a + 1.0 + -7.0 + 12.5 + 2.5 + -17.0 + 32.5 + +Example 2: Polishing Processes + 10 : Degree, n diff --git a/simple_examples/data/c02afje.d b/simple_examples/data/c02afje.d new file mode 100644 index 0000000..0e31bab --- /dev/null +++ b/simple_examples/data/c02afje.d @@ -0,0 +1,19 @@ +C02AFJ Example Program Data + +Example 1 + 5 + 5.0 6.0 + 30.0 20.0 + -0.2 -6.0 + 50.0 100000.0 + -2.0 40.0 + 10.0 1.0 + +Example 2 + 5 + 5.0 6.0 + 30.0 20.0 + -0.2 -6.0 + 50.0 100000.0 + -2.0 40.0 + 10.0 1.0 diff --git a/simple_examples/data/c02agje.d b/simple_examples/data/c02agje.d new file mode 100644 index 0000000..ada6a96 --- /dev/null +++ b/simple_examples/data/c02agje.d @@ -0,0 +1,9 @@ +C02AGJ Example Program Data + +Example 1 + 5 + 1.0 2.0 3.0 4.0 5.0 6.0 + +Example 2 + 5 + 1.0 2.0 3.0 4.0 5.0 6.0 diff --git a/simple_examples/data/c02ahje.d b/simple_examples/data/c02ahje.d new file mode 100644 index 0000000..0e1a9ea --- /dev/null +++ b/simple_examples/data/c02ahje.d @@ -0,0 +1,2 @@ +C02AHJ Example Program Data + 1.0 0.0 -3.0 1.0 8.0 1.0 :AR AI BR BI CR CI diff --git a/simple_examples/data/c02ajje.d b/simple_examples/data/c02ajje.d new file mode 100644 index 0000000..c24b295 --- /dev/null +++ b/simple_examples/data/c02ajje.d @@ -0,0 +1,2 @@ +C02AJJ Example Program Data + 1.0 3.0 -10.0 :A B C diff --git a/simple_examples/data/c02akje.d b/simple_examples/data/c02akje.d new file mode 100644 index 0000000..0b71c64 --- /dev/null +++ b/simple_examples/data/c02akje.d @@ -0,0 +1,2 @@ +C02AKJ Example Program Data + 1.0 3.0 9.0 -13.0 : Values of U, R, S and T diff --git a/simple_examples/data/c02alje.d b/simple_examples/data/c02alje.d new file mode 100644 index 0000000..a519a24 --- /dev/null +++ b/simple_examples/data/c02alje.d @@ -0,0 +1,2 @@ +C02ALJ Example Program Data + 1.0 2.0 6.0 -8.0 -40.0 : Values of E, A, B, C and D diff --git a/simple_examples/data/c02amje.d b/simple_examples/data/c02amje.d new file mode 100644 index 0000000..9bff4dc --- /dev/null +++ b/simple_examples/data/c02amje.d @@ -0,0 +1,5 @@ +C02AMJ Example Program Data + ( 1.0, 0.0) + ( -2.0, 3.0) + ( 5.0, 14.0) + (-40.0, -5.0) : Values of U, R, S and T diff --git a/simple_examples/data/c02anje.d b/simple_examples/data/c02anje.d new file mode 100644 index 0000000..c331b10 --- /dev/null +++ b/simple_examples/data/c02anje.d @@ -0,0 +1,6 @@ +C02ANJ Example Program Data + ( 1.0, 0.0) + ( 0.0, 0.0) + ( 0.0, 16.0) + ( -8.0, 8.0) + (-65.0, 0.0) : Values of E, A, B, C and D diff --git a/simple_examples/data/c05bbje.d b/simple_examples/data/c05bbje.d new file mode 100644 index 0000000..6c78ea9 --- /dev/null +++ b/simple_examples/data/c05bbje.d @@ -0,0 +1,7 @@ +C05BBJ Example Program Data +0 : BRANCH +false : OFFSET +0.5 -1.0 +1.0 2.3 +4.5 -0.1 +6.0 6.0 : Z diff --git a/simple_examples/data/c06fkje.d b/simple_examples/data/c06fkje.d new file mode 100644 index 0000000..e042218 --- /dev/null +++ b/simple_examples/data/c06fkje.d @@ -0,0 +1,11 @@ +C06FKJ Example Program Data +9 : n +1.00 0.50 +1.00 0.50 +1.00 0.50 +1.00 0.50 +1.00 0.00 +0.00 0.00 +0.00 0.00 +0.00 0.00 +0.00 0.00 : xa, ya diff --git a/simple_examples/data/c09aaje.d b/simple_examples/data/c09aaje.d new file mode 100644 index 0000000..8313509 --- /dev/null +++ b/simple_examples/data/c09aaje.d @@ -0,0 +1,11 @@ +C09AAF Example Program Data + 8 : n + Haar Zero : wavnam, mode + 2.0 + 5.0 + 8.0 + 9.0 + 7.0 + 4.0 +-1.0 + 1.0 : x(1:n) diff --git a/simple_examples/data/d03pcje.d b/simple_examples/data/d03pcje.d new file mode 100644 index 0000000..9e78e1f --- /dev/null +++ b/simple_examples/data/d03pcje.d @@ -0,0 +1,6 @@ +D03PCJ Example Program Data +6 20 1 : intpts, npts, itype +0.0 0.4 0.6 0.8 0.9 1.0 : xout(1:intpts) +1.0E-3 1.0 : acc, alpha +1 0 : m, itrace +0.0 0.1E-4 : ts, tout diff --git a/simple_examples/data/e02alje.d b/simple_examples/data/e02alje.d new file mode 100644 index 0000000..b1c9d44 --- /dev/null +++ b/simple_examples/data/e02alje.d @@ -0,0 +1,23 @@ +E02ALJ Example Program Data + 21 5 11 : N, M, NEVAL + 0.00 1.0000000000 + 0.05 1.0512710964 + 0.10 1.1051709181 + 0.15 1.1618342427 + 0.20 1.2214027582 + 0.25 1.2840254167 + 0.30 1.3498588076 + 0.35 1.4190675486 + 0.40 1.4918246976 + 0.45 1.5683121855 + 0.50 1.6487212707 + 0.55 1.7332530179 + 0.60 1.8221188004 + 0.65 1.9155408290 + 0.70 2.0137527075 + 0.75 2.1170000166 + 0.80 2.2255409285 + 0.85 2.3396468519 + 0.90 2.4596031112 + 0.95 2.5857096593 + 1.00 2.7182818285 : X, Y diff --git a/simple_examples/data/e04fcje.d b/simple_examples/data/e04fcje.d new file mode 100644 index 0000000..963a616 --- /dev/null +++ b/simple_examples/data/e04fcje.d @@ -0,0 +1,16 @@ +E04FCF Example Program Data + 0.14 1.0 15.0 1.0 + 0.18 2.0 14.0 2.0 + 0.22 3.0 13.0 3.0 + 0.25 4.0 12.0 4.0 + 0.29 5.0 11.0 5.0 + 0.32 6.0 10.0 6.0 + 0.35 7.0 9.0 7.0 + 0.39 8.0 8.0 8.0 + 0.37 9.0 7.0 7.0 + 0.58 10.0 6.0 6.0 + 0.73 11.0 5.0 5.0 + 0.96 12.0 4.0 4.0 + 1.34 13.0 3.0 3.0 + 2.10 14.0 2.0 2.0 + 4.39 15.0 1.0 1.0 diff --git a/simple_examples/data/e04mxje.d b/simple_examples/data/e04mxje.d new file mode 100644 index 0000000..7d45bf8 --- /dev/null +++ b/simple_examples/data/e04mxje.d @@ -0,0 +1,64 @@ +NAME E04MX.EX +ROWS + L ..ROW1.. + L ..ROW2.. + L ..ROW3.. + N ..COST.. +COLUMNS + ...X1... ..ROW1.. 1.0 ..ROW2.. 1.0 + ...X1... ..ROW3.. 1.0 ..COST.. -4.0 + ...X2... ..ROW1.. 1.0 ..ROW2.. 2.0 + ...X2... ..ROW3.. -1.0 ..COST.. -1.0 + ...X3... ..ROW1.. 1.0 ..ROW2.. 3.0 + ...X3... ..ROW3.. 1.0 ..COST.. -1.0 + ...X4... ..ROW1.. 1.0 ..ROW2.. 4.0 + ...X4... ..ROW3.. -1.0 ..COST.. -1.0 + ...X5... ..ROW1.. 1.0 ..ROW2.. -2.0 + ...X5... ..ROW3.. 1.0 ..COST.. -1.0 + ...X6... ..ROW1.. 1.0 ..ROW2.. 1.0 + ...X6... ..ROW3.. 1.0 ..COST.. -1.0 + ...X7... ..ROW1.. 1.0 ..ROW2.. 1.0 + ...X7... ..ROW3.. 1.0 ..COST.. -1.0 + ...X8... ..ROW1.. 1.0 ..ROW2.. 1.0 + ...X8... ..ROW3.. 1.0 ..COST.. -0.1 + ...X9... ..ROW1.. 4.0 ..ROW2.. 1.0 + ...X9... ..ROW3.. 1.0 ..COST.. -0.3 +RHS + RHS1 ..ROW1.. 1.5 + RHS1 ..ROW2.. 1.5 + RHS1 ..ROW3.. 4.0 + RHS1 ..COST.. 1000.0 +RANGES + RANGE1 ..ROW1.. 3.5 + RANGE1 ..ROW2.. 3.5 + RANGE1 ..ROW3.. 6.0 +BOUNDS + LO BOUND ...X1... -2.0 + LO BOUND ...X2... -2.0 + LO BOUND ...X3... -2.0 + LO BOUND ...X4... -2.0 + LO BOUND ...X5... -2.0 + LO BOUND ...X6... -2.0 + LO BOUND ...X7... -2.0 + LO BOUND ...X8... -2.0 + LO BOUND ...X9... -2.0 + UP BOUND ...X1... 2.0 + UP BOUND ...X2... 2.0 + UP BOUND ...X3... 2.0 + UP BOUND ...X4... 2.0 + UP BOUND ...X5... 2.0 + UP BOUND ...X6... 2.0 + UP BOUND ...X7... 2.0 + UP BOUND ...X8... 2.0 + UP BOUND ...X9... 2.0 +QUADOBJ + ...X1... ...X1... 2.00000000E0 ...X2... 1.00000000E0 + ...X1... ...X3... 1.00000000E0 ...X4... 1.00000000E0 + ...X1... ...X5... 1.00000000E0 + ...X2... ...X2... 2.00000000E0 ...X3... 1.00000000E0 + ...X2... ...X4... 1.00000000E0 ...X5... 1.00000000E0 + ...X3... ...X3... 2.00000000E0 ...X4... 1.00000000E0 + ...X3... ...X5... 1.00000000E0 + ...X4... ...X4... 2.00000000E0 ...X5... 1.00000000E0 + ...X5... ...X5... 2.00000000E0 +ENDATA diff --git a/simple_examples/data/e04ncje.d b/simple_examples/data/e04ncje.d new file mode 100644 index 0000000..bdf378b --- /dev/null +++ b/simple_examples/data/e04ncje.d @@ -0,0 +1,21 @@ +E04NCA Example Program Data + 10 9 3 :Values of M, N and NCLIN + 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 + 1.0 2.0 1.0 1.0 1.0 1.0 2.0 0.0 0.0 + 1.0 1.0 3.0 1.0 1.0 1.0 -1.0 -1.0 -3.0 + 1.0 1.0 1.0 4.0 1.0 1.0 1.0 1.0 1.0 + 1.0 1.0 1.0 3.0 1.0 1.0 1.0 1.0 1.0 + 1.0 1.0 2.0 1.0 1.0 0.0 0.0 0.0 -1.0 + 1.0 1.0 1.0 1.0 0.0 1.0 1.0 1.0 1.0 + 1.0 1.0 1.0 0.0 1.0 1.0 1.0 1.0 1.0 + 1.0 1.0 0.0 1.0 1.0 1.0 2.0 2.0 3.0 + 1.0 0.0 1.0 1.0 1.0 1.0 0.0 2.0 2.0 :End of matrix A + 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 :End of B + 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 4.0 + 1.0 2.0 3.0 4.0 -2.0 1.0 1.0 1.0 1.0 + 1.0 -1.0 1.0 -1.0 1.0 1.0 1.0 1.0 1.0 :End of matrix C + 0.0 0.0 -1.0E+25 0.0 0.0 0.0 0.0 0.0 0.0 + 2.0 -1.0E+25 1.0 :End of BL + 2.0 2.0 2.0 2.0 2.0 2.0 2.0 2.0 2.0 + 1.0E+25 2.0 4.0 :End of BU + 1.0 0.5 0.3333 0.25 0.2 0.1667 0.1428 0.125 0.1111 :End of X diff --git a/simple_examples/data/e04nfje.d b/simple_examples/data/e04nfje.d new file mode 100644 index 0000000..f2c6165 --- /dev/null +++ b/simple_examples/data/e04nfje.d @@ -0,0 +1,22 @@ +E04NFA Example Program Data + 7 7 :Values of N and NCLIN + -0.02 -0.20 -0.20 -0.20 -0.20 0.04 0.04 :End of CVEC + 1.00 1.00 1.00 1.00 1.00 1.00 1.00 + 0.15 0.04 0.02 0.04 0.02 0.01 0.03 + 0.03 0.05 0.08 0.02 0.06 0.01 0.00 + 0.02 0.04 0.01 0.02 0.02 0.00 0.00 + 0.02 0.03 0.00 0.00 0.01 0.00 0.00 + 0.70 0.75 0.80 0.75 0.80 0.97 0.00 + 0.02 0.06 0.08 0.12 0.02 0.01 0.97 :End of matrix A + -0.01 -0.10 -0.01 -0.04 -0.10 -0.01 -0.01 + -0.13 -1.0E+25 -1.0E+25 -1.0E+25 -1.0E+25 -9.92E-02 -3.0E-03 :End of BL + 0.01 0.15 0.03 0.02 0.05 1.0E+25 1.0E+25 + -0.13 -4.9E-03 -6.4E-03 -3.7E-03 -1.2E-03 1.0E+25 2.0E-03 :End of BU + -0.01 -0.03 0.00 -0.01 -0.10 0.02 0.01 :End of X + 2.00 0.00 0.00 0.00 0.00 0.00 0.00 + 0.00 2.00 0.00 0.00 0.00 0.00 0.00 + 0.00 0.00 2.00 2.00 0.00 0.00 0.00 + 0.00 0.00 2.00 2.00 0.00 0.00 0.00 + 0.00 0.00 0.00 0.00 2.00 0.00 0.00 + 0.00 0.00 0.00 0.00 0.00 -2.00 -2.00 + 0.00 0.00 0.00 0.00 0.00 -2.00 -2.00 :End of matrix H diff --git a/simple_examples/data/e04nqje.d b/simple_examples/data/e04nqje.d new file mode 100644 index 0000000..a1c9039 --- /dev/null +++ b/simple_examples/data/e04nqje.d @@ -0,0 +1,67 @@ +E04NQF Example Program Data + 7 8 : Values of N and M +48 8 7 'C' 15 : Values of NNZ, IOBJ, NCOLH, START and NNAME + +'...X1...' '...X2...' '...X3...' '...X4...' '...X5...' +'...X6...' '...X7...' '..ROW1..' '..ROW2..' '..ROW3..' +'..ROW4..' '..ROW5..' '..ROW6..' '..ROW7..' '..COST..' : End of array NAMES + + 0.02 7 1 : Sparse matrix A, ordered by increasing column index; + 0.02 5 1 : each row contains ACOL(i), INDA(i), ICOL (= column index) + 0.03 3 1 : The row indices may be in any order. In this example + 1.00 1 1 : row 8 defines the linear objective term transpose(C)*X. + 0.70 6 1 + 0.02 4 1 + 0.15 2 1 + -200.00 8 1 + 0.06 7 2 + 0.75 6 2 + 0.03 5 2 + 0.04 4 2 + 0.05 3 2 + 0.04 2 2 + 1.00 1 2 +-2000.00 8 2 + 0.02 2 3 + 1.00 1 3 + 0.01 4 3 + 0.08 3 3 + 0.08 7 3 + 0.80 6 3 +-2000.00 8 3 + 1.00 1 4 + 0.12 7 4 + 0.02 3 4 + 0.02 4 4 + 0.75 6 4 + 0.04 2 4 +-2000.00 8 4 + 0.01 5 5 + 0.80 6 5 + 0.02 7 5 + 1.00 1 5 + 0.02 2 5 + 0.06 3 5 + 0.02 4 5 +-2000.00 8 5 + 1.00 1 6 + 0.01 2 6 + 0.01 3 6 + 0.97 6 6 + 0.01 7 6 + 400.00 8 6 + 0.97 7 7 + 0.03 2 7 + 1.00 1 7 + 400.00 8 7 : End of matrix A + + 0.0 0.0 4.0E+02 1.0E+02 0.0 0.0 + 0.0 2.0E+03 -1.0E+25 -1.0E+25 -1.0E+25 -1.0E+25 + 1.5E+03 2.5E+02 -1.0E+25 : End of lower bounds array BL + + 2.0E+02 2.5E+03 8.0E+02 7.0E+02 1.5E+03 1.0E+25 + 1.0E+25 2.0E+03 6.0E+01 1.0E+02 4.0E+01 3.0E+01 + 1.0E+25 3.0E+02 1.0E+25 : End of upper bounds array BU + + 0 0 0 0 0 0 0 : Initial array HS + 0.0 0.0 0.0 0.0 0.0 0.0 0.0 : Initial vector X diff --git a/simple_examples/data/e04rsje.d b/simple_examples/data/e04rsje.d new file mode 100644 index 0000000..9540ce2 --- /dev/null +++ b/simple_examples/data/e04rsje.d @@ -0,0 +1,13 @@ +E04RSJ Example Program Data + 3 6 6 : n, nnzq1, nnzq2 + 1 1 1 2 2 3 : irowq0 + 1 2 3 2 3 3 : icolq0 + 0.493 0.382 0.270 0.475 0.448 0.515 : q0 + 1 1 1 2 2 3 : irowq1 + 1 2 3 2 3 3 : icolq1 + 0.737 0.453 1.002 0.316 0.635 1.590 : q1 + 1 2 3 : idxr0 + 0.847 0.08 0.505 : r0 + 1 2 3 : idxr1 + 0.065 0.428 0.097 : r1 + 1.276 : s diff --git a/simple_examples/data/e04rtje.d b/simple_examples/data/e04rtje.d new file mode 100644 index 0000000..f6f5896 --- /dev/null +++ b/simple_examples/data/e04rtje.d @@ -0,0 +1,8 @@ +E04RTJ Example Program Data + 3 2 4 : n, m, nnza + 1 1 2 2 : irowa + 1 2 2 3 : icola + 0.493 0.382 0.270 0.475 : a + 0.2 0.4 : b + -1.0 -1.0 -1.0 : xl + 1.0 1.0 1.0 : xu diff --git a/simple_examples/data/e04saje.opt b/simple_examples/data/e04saje.opt new file mode 100644 index 0000000..098dd78 --- /dev/null +++ b/simple_examples/data/e04saje.opt @@ -0,0 +1,30 @@ +NAME E04SAJE +OBJSENSE + MIN +ROWS + N obj + L g1 + G g2 +COLUMNS + x1 obj 10.0 + x1 g1 -0.1 + x1 g2 -0.06 + x2 obj 20.0 + x2 g1 -0.1 + x2 g2 1.0 + x3 obj 1.0 + x3 g1 1.0 + x3 g2 1.0 +RHS + UVEC g1 1.5 + UVEC g2 1.0 +BOUNDS + LO bound x1 -2.0 + UP bound x1 2.0 + LO bound x2 -2.0 + UP bound x2 2.0 +CSECTION k1 0 QUAD + x3 + x1 + x2 +ENDATA diff --git a/simple_examples/data/e04tcje.d b/simple_examples/data/e04tcje.d new file mode 100644 index 0000000..0d7c25f --- /dev/null +++ b/simple_examples/data/e04tcje.d @@ -0,0 +1,22 @@ +E04TCJ Example Program Data +30 : nres +-1.0000000000000000E+00 -9.3103448275862066E-01 -8.6206896551724133E-01 +-7.9310344827586210E-01 -7.2413793103448276E-01 -6.5517241379310343E-01 +-5.8620689655172420E-01 -5.1724137931034486E-01 -4.4827586206896552E-01 +-3.7931034482758619E-01 -3.1034482758620685E-01 -2.4137931034482762E-01 +-1.7241379310344829E-01 -1.0344827586206895E-01 -3.4482758620689724E-02 + 3.4482758620689724E-02 1.0344827586206895E-01 1.7241379310344818E-01 + 2.4137931034482762E-01 3.1034482758620685E-01 3.7931034482758630E-01 + 4.4827586206896552E-01 5.1724137931034475E-01 5.8620689655172420E-01 + 6.5517241379310343E-01 7.2413793103448265E-01 7.9310344827586210E-01 + 8.6206896551724133E-01 9.3103448275862055E-01 1.0000000000000000E+00 : x +-4.7355262950125371E-01 -5.4938194860076961E-01 -3.9825239170869919E-01 +-3.8856020837234490E-01 -5.5342876546898057E-01 -4.9096203345353551E-01 +-5.3572741683518588E-01 -4.7612745760879621E-01 -5.3500371923553647E-01 + 6.0158102095753345E-01 -5.8735647599146978E-01 -4.4672492128166008E-01 +-2.8302528479868733E-01 -3.0311152621895832E-01 -4.1648482978955480E-02 + 3.7631282343379285E-02 1.6504195889737350E-01 5.1964885199180544E-01 + 5.4702301251386876E-01 -4.4537928919142311E-01 5.9042453784268267E-01 + 6.9016702395652996E-01 6.9143394337665087E-01 7.8263998594593021E-01 + 8.1261679746103432E-01 7.5887968830904762E-01 9.5316846217349571E-01 + 1.1014159319048389E+00 1.0675894279571976E+00 1.1538027971634699E+00 : obs diff --git a/simple_examples/data/f03baje.d b/simple_examples/data/f03baje.d new file mode 100644 index 0000000..8c792dc --- /dev/null +++ b/simple_examples/data/f03baje.d @@ -0,0 +1,5 @@ +F03BAF Example Program Data + 3 : N + 33 16 72 + -24 -10 -57 + -8 -4 -17 : A diff --git a/simple_examples/data/f04amje.d b/simple_examples/data/f04amje.d new file mode 100644 index 0000000..dc69386 --- /dev/null +++ b/simple_examples/data/f04amje.d @@ -0,0 +1,5 @@ +F04AMF Example Program Data + 3 2 : m, n + 1.1 0.9 2.2 + 1.2 1.0 2.3 + 1.0 1.0 2.1 : matrices A and B diff --git a/simple_examples/data/f04baje.d b/simple_examples/data/f04baje.d new file mode 100644 index 0000000..b1df19b --- /dev/null +++ b/simple_examples/data/f04baje.d @@ -0,0 +1,13 @@ +F04BAF Example Program Data + + 4 2 : n, nrhs + + 1.80 2.88 2.05 -0.89 + 5.25 -2.95 -0.95 -3.80 + 1.58 -2.69 -2.90 -1.04 + -1.11 -0.66 -0.59 0.80 : matrix A + + 9.52 18.47 + 24.35 2.25 + 0.77 -13.28 + -6.22 -6.21 : matrix B diff --git a/simple_examples/data/f05aaje.d b/simple_examples/data/f05aaje.d new file mode 100644 index 0000000..cafb7ea --- /dev/null +++ b/simple_examples/data/f05aaje.d @@ -0,0 +1,6 @@ +F05AAF Example Program Data + 4 2 4 + 1 -2 3 1 +-2 1 -2 -1 + 3 -2 1 5 + 4 1 5 3 \ No newline at end of file diff --git a/simple_examples/data/f08btje.d b/simple_examples/data/f08btje.d new file mode 100644 index 0000000..bea5bf4 --- /dev/null +++ b/simple_examples/data/f08btje.d @@ -0,0 +1,15 @@ +F08BTF Example Program Data + + 5 4 2 :Values of M, N and NRHS + + ( 0.47,-0.34) (-0.40, 0.54) ( 0.60, 0.01) ( 0.80,-1.02) + (-0.32,-0.23) (-0.05, 0.20) (-0.26,-0.44) (-0.43, 0.17) + ( 0.35,-0.60) (-0.52,-0.34) ( 0.87,-0.11) (-0.34,-0.09) + ( 0.89, 0.71) (-0.45,-0.45) (-0.02,-0.57) ( 1.14,-0.78) + (-0.19, 0.06) ( 0.11,-0.85) ( 1.44, 0.80) ( 0.07, 1.14) :End of matrix A + + (-1.08,-2.59) ( 2.22, 2.35) + (-2.61,-1.49) ( 1.62,-1.48) + ( 3.13,-3.61) ( 1.65, 3.43) + ( 7.33,-8.01) (-0.98, 3.08) + ( 9.12, 7.63) (-2.84, 2.78) :End of matrix B diff --git a/simple_examples/data/f08xpje.d b/simple_examples/data/f08xpje.d new file mode 100644 index 0000000..39b5c87 --- /dev/null +++ b/simple_examples/data/f08xpje.d @@ -0,0 +1,10 @@ +F08XPJ Example Program Data +4 : Value of N +(-21.10,-22.50) ( 53.50,-50.50) (-34.50,127.50) ( 7.50, 0.50) +( -0.46, -7.78) ( -3.50,-37.50) (-15.50, 58.50) (-10.50, -1.50) +( 4.30, -5.50) ( 39.70,-17.10) (-68.50, 12.50) ( -7.50, -3.50) +( 5.50, 4.40) ( 14.40, 43.30) (-32.50,-46.00) (-19.00,-32.50) : End of A +( 1.00, -5.00) ( 1.60, 1.20) ( -3.00, 0.00) ( 0.00, -1.00) +( 0.80, -0.60) ( 3.00, -5.00) ( -4.00, 3.00) ( -2.40, -3.20) +( 1.00, 0.00) ( 2.40, 1.80) ( -4.00, -5.00) ( 0.00, -3.00) +( 0.00, 1.00) ( -1.80, 2.40) ( 0.00, -4.00) ( 4.00, -5.00) : End of B diff --git a/simple_examples/data/g02bjje.d b/simple_examples/data/g02bjje.d new file mode 100644 index 0000000..eaa8921 --- /dev/null +++ b/simple_examples/data/g02bjje.d @@ -0,0 +1,10 @@ +G02BJF Example Program Data +5 4 3 :: N, M, NVARS + 3.0 3.0 1.0 2.0 + 6.0 4.0 -1.0 4.0 + 9.0 0.0 5.0 9.0 +12.0 2.0 0.0 0.0 +-1.0 5.0 4.0 12.0 :: End of X + 1 1 0 1 :: MISS +-1.0 0.0 0.0 0.0 :: XMISS +4 1 2 :: KVAR diff --git a/simple_examples/data/g02daje.d b/simple_examples/data/g02daje.d new file mode 100644 index 0000000..4e844ac --- /dev/null +++ b/simple_examples/data/g02daje.d @@ -0,0 +1,15 @@ +G02DAJ Example Program Data +12 4 'U' 'M' +1.0 0.0 0.0 0.0 33.63 +0.0 0.0 0.0 1.0 39.62 +0.0 1.0 0.0 0.0 38.18 +0.0 0.0 1.0 0.0 41.46 +0.0 0.0 0.0 1.0 38.02 +0.0 1.0 0.0 0.0 35.83 +0.0 0.0 0.0 1.0 35.99 +1.0 0.0 0.0 0.0 36.58 +0.0 0.0 1.0 0.0 42.92 +1.0 0.0 0.0 0.0 37.80 +0.0 0.0 1.0 0.0 40.43 +0.0 1.0 0.0 0.0 37.89 +1 1 1 1 diff --git a/simple_examples/data/g02eeje.d b/simple_examples/data/g02eeje.d new file mode 100644 index 0000000..b0c03a7 --- /dev/null +++ b/simple_examples/data/g02eeje.d @@ -0,0 +1,24 @@ +G02EEF Example Program Data + 20 6 'M' 'U' 2.0 :: N,M,MEAN,WEIGHT,FIN + 0.0 1125.0 232.0 7160.0 85.9 8905.0 1.5563 + 7.0 920.0 268.0 8804.0 86.5 7388.0 0.8976 + 15.0 835.0 271.0 8108.0 85.2 5348.0 0.7482 + 22.0 1000.0 237.0 6370.0 83.8 8056.0 0.7160 + 29.0 1150.0 192.0 6441.0 82.1 6960.0 0.3010 + 37.0 990.0 202.0 5154.0 79.2 5690.0 0.3617 + 44.0 840.0 184.0 5896.0 81.2 6932.0 0.1139 + 58.0 650.0 200.0 5336.0 80.6 5400.0 0.1139 + 65.0 640.0 180.0 5041.0 78.4 3177.0 -0.2218 + 72.0 583.0 165.0 5012.0 79.3 4461.0 -0.1549 + 80.0 570.0 151.0 4825.0 78.7 3901.0 0.0000 + 86.0 570.0 171.0 4391.0 78.0 5002.0 0.0000 + 93.0 510.0 243.0 4320.0 72.3 4665.0 -0.0969 + 100.0 555.0 147.0 3709.0 74.9 4642.0 -0.2218 + 107.0 460.0 286.0 3969.0 74.4 4840.0 -0.3979 + 122.0 275.0 198.0 3558.0 72.5 4479.0 -0.1549 + 129.0 510.0 196.0 4361.0 57.7 4200.0 -0.2218 + 151.0 165.0 210.0 3301.0 71.8 3410.0 -0.3979 + 171.0 244.0 327.0 2964.0 72.5 3360.0 -0.5229 + 220.0 79.0 334.0 2777.0 71.9 2599.0 -0.0458 :: End of X,Y + 0 1 1 1 1 2 :: ISX + 'DAY' 'BOD' 'TKN' 'TS ' 'TVS' 'COD' :: VNAME diff --git a/simple_examples/data/g02maje.d b/simple_examples/data/g02maje.d new file mode 100644 index 0000000..b21e21c --- /dev/null +++ b/simple_examples/data/g02maje.d @@ -0,0 +1,23 @@ +G02MAJ Example Program Data +20 6 :: N,M +1 3 1 6 0 :: MTYPE,PRED,PREY,MNSTEP,LISX +10.28 1.77 9.69 15.58 8.23 10.44 -46.47 +9.08 8.99 11.53 6.57 15.89 12.58 -35.80 +17.98 13.10 1.04 10.45 10.12 16.68 -129.22 +14.82 13.79 12.23 7.00 8.14 7.79 -42.44 +17.53 9.41 6.24 3.75 13.12 17.08 -73.51 +7.78 10.38 9.83 2.58 10.13 4.25 -26.61 +11.95 21.71 8.83 11.00 12.59 10.52 -63.90 +14.60 10.09 -2.70 9.89 14.67 6.49 -76.73 +3.63 9.07 12.59 14.09 9.06 8.19 -32.64 +6.35 9.79 9.40 12.79 8.38 16.79 -83.29 +4.66 3.55 16.82 13.83 21.39 13.88 -16.31 +8.32 14.04 17.17 7.93 7.39 -1.09 -5.82 +10.86 13.68 5.75 10.44 10.36 10.06 -47.75 +4.76 4.92 17.83 2.90 7.58 11.97 18.38 +5.05 10.41 9.89 9.04 7.90 13.12 -54.71 +5.41 9.32 5.27 15.53 5.06 19.84 -55.62 +9.77 2.37 9.54 20.23 9.33 8.82 -45.28 +14.28 4.34 14.23 14.95 18.16 11.03 -22.76 +10.17 6.80 3.17 8.57 16.07 15.93 -104.32 +5.39 2.67 6.37 13.56 10.68 7.35 -55.94 :: End of D, Y diff --git a/simple_examples/data/g03gaje.d b/simple_examples/data/g03gaje.d new file mode 100644 index 0000000..ca1c97f --- /dev/null +++ b/simple_examples/data/g03gaje.d @@ -0,0 +1,56 @@ +G03GAF Example Program Data +25 4 4 : N M IP +2 : NG +2 : SOPT +2 : POPT +15 : NITER +2.7 3.2 4.5 4.8 +3.9 3.8 5.9 6.2 +4.8 4.1 6.8 5.5 +3.1 3.5 4.3 4.6 +3.4 3.7 5.1 5.6 +3.1 3.4 4.1 4.7 +4.6 4.4 6.6 6.1 +3.1 3.3 4.0 4.9 +3.8 3.7 4.7 4.9 +5.2 4.9 8.2 6.9 +3.9 3.8 5.2 5.4 +4.1 4.0 5.6 5.6 +5.7 5.1 7.0 6.3 +3.0 3.2 4.5 5.0 +2.9 3.3 4.5 5.1 +3.4 3.3 4.4 5.0 +4.0 4.2 5.2 5.4 +3.0 3.0 4.6 5.0 +4.0 4.1 5.9 5.8 +3.0 3.2 4.4 5.1 +3.6 3.6 5.3 5.4 +3.1 3.2 4.6 5.0 +3.2 3.3 5.4 5.3 +3.0 3.4 4.2 4.7 +3.8 4.0 6.9 6.7 : X +1.0 0.0 +1.0 0.0 +1.0 0.0 +1.0 0.0 +1.0 0.0 +1.0 0.0 +1.0 0.0 +1.0 0.0 +1.0 0.0 +1.0 0.0 +1.0 0.0 +1.0 0.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 : P diff --git a/simple_examples/data/g05kfje.d b/simple_examples/data/g05kfje.d new file mode 100644 index 0000000..b55cba0 --- /dev/null +++ b/simple_examples/data/g05kfje.d @@ -0,0 +1,3 @@ +G05KFF Example Program Data +1 1 1762543 :: GENID,SUBID,SEED(1) +5 :: N diff --git a/simple_examples/data/g13naje.d b/simple_examples/data/g13naje.d new file mode 100644 index 0000000..4da5b32 --- /dev/null +++ b/simple_examples/data/g13naje.d @@ -0,0 +1,14 @@ +G13NAJ Example Program Data +100 :: N +0.00 0.78 -0.02 0.17 0.04 -1.23 0.24 1.70 0.77 0.06 +0.67 0.94 1.99 2.64 2.26 3.72 3.14 2.28 3.78 0.83 +2.80 1.66 1.93 2.71 2.97 3.04 2.29 3.71 1.69 2.76 +1.96 3.17 1.04 1.50 1.12 1.11 1.00 1.84 1.78 2.39 +1.85 0.62 2.16 0.78 1.70 0.63 1.79 1.21 2.20 -1.34 +0.04 -0.14 2.78 1.83 0.98 0.19 0.57 -1.41 2.05 1.17 +0.44 2.32 0.67 0.73 1.17 -0.34 2.95 1.08 2.16 2.27 +-0.14 -0.24 0.27 1.71 -0.04 -1.03 -0.12 -0.67 1.15 -1.10 +-1.37 0.59 0.44 0.63 -0.06 -0.62 0.39 -2.63 -1.63 -0.42 +-0.73 0.85 0.26 0.48 -0.26 -1.77 -1.53 -1.39 1.68 0.43 :: End of Y +1 1 4.6 2 :: CTYPE,IPARAM,BETA,MINSS +1.0 :: PARAM(1) diff --git a/simple_examples/data/m01ccje.d b/simple_examples/data/m01ccje.d new file mode 100644 index 0000000..3a946ab --- /dev/null +++ b/simple_examples/data/m01ccje.d @@ -0,0 +1,13 @@ +M01CCF Example Program Data +11 +A02AAF 289 +A02ABF 523 +A02ACF 531 +C02ADF 169 +C02AEF 599 +C05AUF 1351 +C05AVF 240 +C05AWF 136 +C05AXF 211 +C05AYF 183 +C05AZF 2181 diff --git a/simple_examples/data/s14abje.d b/simple_examples/data/s14abje.d new file mode 100644 index 0000000..083a4f4 --- /dev/null +++ b/simple_examples/data/s14abje.d @@ -0,0 +1,10 @@ +S14ABF Example Program Data + 1.0 + 1.25 + 1.5 + 1.75 + 2.0 + 5.0 + 10.0 + 20.0 + 1000.0 diff --git a/simple_examples/data/s14acje.d b/simple_examples/data/s14acje.d new file mode 100644 index 0000000..64a16c9 --- /dev/null +++ b/simple_examples/data/s14acje.d @@ -0,0 +1,5 @@ +S14ACJ Example Program Data +0.1 +0.5 +3.6 +8.0 diff --git a/simple_examples/data/s14afje.d b/simple_examples/data/s14afje.d new file mode 100644 index 0000000..f658cc5 --- /dev/null +++ b/simple_examples/data/s14afje.d @@ -0,0 +1,2 @@ +S14AFJ Example Program Data +-1.5 2.5 1 : Values of Z and K diff --git a/simple_examples/data/s17dcje.d b/simple_examples/data/s17dcje.d new file mode 100644 index 0000000..fa0d57f --- /dev/null +++ b/simple_examples/data/s17dcje.d @@ -0,0 +1,6 @@ +S17DCJ Example Program Data +0.00 0.3 0.4 'U' +2.30 2.0 0.0 'U' +2.12 -1.0 0.0 'U' +1.58 -2.3 5.6 'U' +1.58 -2.3 5.6 'S' diff --git a/simple_examples/data/s17dgje.d b/simple_examples/data/s17dgje.d new file mode 100644 index 0000000..3e62c29 --- /dev/null +++ b/simple_examples/data/s17dgje.d @@ -0,0 +1,6 @@ +S17DGF Example Program Data + 'F' ( 0.3, 0.4) 'U' + 'F' ( 0.2, 0.0) 'U' + 'F' ( 1.1, -6.6) 'U' + 'F' ( 1.1, -6.6) 'S' + 'D' (-1.0, 0.0) 'U' diff --git a/simple_examples/data/s30aaje.d b/simple_examples/data/s30aaje.d new file mode 100644 index 0000000..0248da1 --- /dev/null +++ b/simple_examples/data/s30aaje.d @@ -0,0 +1,9 @@ +S30AAJ Example Program Data +'C' : Call = 'C', Put = 'P' +55.0 0.3 0.1 0.0 : S, SIGMA, R, Q +3 2 : M, N +58.0 +60.0 +62.0 : X(I), I = 1,2,...M +0.7 +0.8 : T(I), I = 1,2,...N diff --git a/simple_examples/data/s30acje.d b/simple_examples/data/s30acje.d new file mode 100644 index 0000000..48117a7 --- /dev/null +++ b/simple_examples/data/s30acje.d @@ -0,0 +1,9 @@ +S30ACJ Example Program Data +'C' : Call = 'C', Put = 'P' +5 1 : Values of n and mode + +4.14 3.89 5.39 5.14 5.04 : p +268.0 268.0 268.0 268.5 269.0 : k +267.5 267.5 267.5 267.5 267.5 : s0 +0.00274 0.00274 0.0164 0.0164 0.0164 : t +0.0166 0.0166 0.0166 0.0166 0.0166 : r diff --git a/simple_examples/data/x03aaje.d b/simple_examples/data/x03aaje.d new file mode 100644 index 0000000..1254b78 --- /dev/null +++ b/simple_examples/data/x03aaje.d @@ -0,0 +1,5 @@ +X03AAJ Example Program Data + -2 -3 7 + 2 -5 3 + -9 1 0 + 8 -4 -2 diff --git a/simple_examples/source/int32/A00AAJE.java b/simple_examples/source/int32/A00AAJE.java new file mode 100644 index 0000000..65b6c18 --- /dev/null +++ b/simple_examples/source/int32/A00AAJE.java @@ -0,0 +1,16 @@ +import com.nag.routines.A00.A00AA; + +/** + * A00AA example program text. + */ +public class A00AAJE { + + public static void main(String[] args) { + A00AA a00aa = new A00AA(); + + System.out.println(" A00AAJ Example Program Results\n"); + a00aa.eval(); + + } + +} diff --git a/simple_examples/source/int32/A00ACJE.java b/simple_examples/source/int32/A00ACJE.java new file mode 100644 index 0000000..7f44ba3 --- /dev/null +++ b/simple_examples/source/int32/A00ACJE.java @@ -0,0 +1,29 @@ +import com.nag.routines.A00.A00AC; + +/** + * A00AC example program text. + * @author Mo + */ +public class A00ACJE { + + public static void main(String[] args) { + A00AC a00ac = new A00AC(); + boolean lmok; + + System.out.println(" A00ACJ Example Program Results\n"); + System.out.println(); + + a00ac.eval(); + + lmok = a00ac.eval(); + + if (lmok) { + System.out.println("A valid licence key is available"); + } + else { + System.out.println("No valid licence key was found"); + } + + } + +} diff --git a/simple_examples/source/int32/A00ADJE.java b/simple_examples/source/int32/A00ADJE.java new file mode 100644 index 0000000..139c8b9 --- /dev/null +++ b/simple_examples/source/int32/A00ADJE.java @@ -0,0 +1,107 @@ +import com.nag.routines.A00.A00AD; +import com.nag.routines.X05.X05AA; +import java.util.Arrays; + +/** + * A00AD example program text. + */ +public class A00ADJE { + + public static void main(String[] args) { + + A00AD a00ad = new A00AD(); + X05AA x05aa = new X05AA(); + int i, mkmaj, mkmin; + boolean licval; + String fcomp, hdware, impl, opsys, pcode, prec, vend; + int[] itime = new int[7]; + + // Instantiate arguments + mkmaj = 0; + mkmin = 0; + licval = false; + + // Strings must be length expected by Fortran + fcomp = getBlankString(80); + hdware = getBlankString(80); + impl = getBlankString(80); + opsys = getBlankString(80); + pcode = getBlankString(80); + prec = getBlankString(80); + vend = getBlankString(80); + + System.out.println(" A00ADJ Example Program Results\n"); + + a00ad.eval(impl, prec, pcode, mkmaj, mkmin, hdware, opsys, fcomp, vend, licval); + + // Output scalars must be retrieved manually + impl = a00ad.getIMPL(); + prec = a00ad.getPREC(); + pcode = a00ad.getPCODE(); + mkmaj = a00ad.getMKMAJ(); + mkmin = a00ad.getMKMIN(); + hdware = a00ad.getHDWARE(); + opsys = a00ad.getOPSYS(); + fcomp = a00ad.getFCOMP(); + vend = a00ad.getVEND(); + licval = a00ad.getLICVAL(); + + // Print implementation details + + System.out.println("*** Start of NAG Library implementation details ***"); + System.out.println(); + System.out.println("Implementation title: " + impl.trim()); + System.out.println(" Precision: " + prec.trim()); + System.out.println(" Product code: " + pcode.trim()); + + if (mkmin < 10) { + System.out.printf(" Mark: %2d.%1d\n", mkmaj, mkmin); + } + else { + System.out.printf(" Mark: %2d.%2d\n", mkmaj, mkmin); + } + + if (vend.trim().equals("(self-contained)")) { + System.out.println(" Vendor Library: None"); + } + else { + System.out.println(" Vendor Library: " + vend.trim()); + } + + System.out.println("Applicable to:"); + System.out.println(" hardware: " + hdware.trim()); + System.out.println(" operating system: " + opsys.trim()); + System.out.println(" Fortran compiler: " + fcomp.trim()); + System.out.println("and compatible systems."); + + if (!licval) { + System.out.println(" Licence query: Unsuccessful"); + } + else { + System.out.println(" Licence query: Successful"); + } + + System.out.println(); + System.out.println("*** End of NAG Library implementation details ***"); + + } + + /** + * Returns a new String, filled with spaces to the specified length. + * + * @param len the required length of the String + * @return a blank String of the specified length + */ + public static String getBlankString(int len) { + + if (len > 0) { + char[] arr = new char[len]; + Arrays.fill(arr, ' '); + return new String(arr); + } + + return ""; + + } + +} diff --git a/simple_examples/source/int32/C02AAJE.java b/simple_examples/source/int32/C02AAJE.java new file mode 100644 index 0000000..1abc528 --- /dev/null +++ b/simple_examples/source/int32/C02AAJE.java @@ -0,0 +1,174 @@ +import com.nag.routines.C02.C02AA; +import com.nag.routines.Routine; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X02.X02AL; +import com.nag.types.NAGComplex; +import java.util.Arrays; + +/** + * C02AA example program text. + * @author joed + * @since 27.1.0.0 + */ +public class C02AAJE { + + public static void main(String[] args) { + + System.out.println(" C02AAJ Example Program Results"); + + Routine.setComplex(new NAGComplex()); + exampleBasic(); + examplePolishing(); + + System.out.println(); + + } + + /** Demonstrate a basic problem. */ + public static void exampleBasic() { + + C02AA c02aa = new C02AA(); + int ifail, itmax, n, polish; + NAGComplex[] a, z; + double[] berr, cond; + int[] conv; + + System.out.println(); + System.out.println("Example 1: Basic Problem"); + System.out.println(); + + // Set polynomial degree and instantiate arrays + n = 5; + a = new NAGComplex[n+1]; + berr = new double[n]; + cond = new double[n]; + conv = new int[n]; + z = NAGComplex.createArray(n); + + // Set polynomial coefficients + a[0] = new NAGComplex(5.0, 6.0); + a[1] = new NAGComplex(30.0, 20.0); + a[2] = new NAGComplex(-0.2, -6.0); + a[3] = new NAGComplex(50.0, 100000.0); + a[4] = new NAGComplex(-2.0, 40.0); + a[5] = new NAGComplex(10.0, 1.0); + + // Find roots of the polynomial + itmax = 30; + polish = 1; + ifail = 0; + c02aa.eval(a, n, itmax, polish, z, berr, cond, conv, ifail); + + // Print output + System.out.println(" i z conv berr cond "); + System.out.println(" ---------------------------------------------------"); + for (int i = 0; i < n; i++) { + System.out.printf(" %2d %9.2E, %9.2E %3d %9.2E %9.2E\n", i+1, + z[i].getRe(), z[i].getIm(), conv[i], berr[i], cond[i]); + } + + } + + /** Compare polishing processes on a Wilkinson-style polynomial. */ + public static void examplePolishing() { + + C02AA c02aa = new C02AA(); + X02AJ x02aj = new X02AJ(); + X02AL x02al = new X02AL(); + NAGComplex pz; + double delta, eps, err, fwderr, maxfwderr, maxrelerr, relerr, rmax; + int ifail, itmax, k, n, polish; + NAGComplex[] a, z, zact; + double[] berr, cond; + int[] conv; + boolean[] matched; + + System.out.println(); + System.out.println("Example 2: Polishing Processes"); + System.out.println(); + + // Set polynomial degree and instantiate + n = 10; + a = new NAGComplex[n+1]; + berr = new double[n]; + cond = new double[n]; + conv = new int[n]; + matched = new boolean[n]; + z = new NAGComplex[n]; + zact = new NAGComplex[n]; + + // Set known roots and (instantiate z) + for (int i = 0; i < n; i++) { + zact[i] = new NAGComplex((double) i+1, 0.0); + z[i] = new NAGComplex(); + } + + // Multiply out (z-1)(z-2)...(z-n) for coefficients + for (int i = 0; i < n; i++) { + a[i] = new NAGComplex(); + } + a[n] = new NAGComplex(1.0, 0.0); + for (int i = 0; i < n; i++) { + for (int j = 0; j < n; j++) { + a[j] = a[j+1].subtract(a[j].multiply(zact[i])); + } + a[n] = a[n].negate().multiply(zact[i]); + } + + System.out.println(" polish relerr fwderr "); + System.out.println(" ----------------------------"); + + itmax = 30; + eps = x02aj.eval(); + rmax = x02al.eval(); + + for (polish = 0; polish <= 2; polish++) { + + // Find roots + ifail = 0; + c02aa.eval(a, n, itmax, polish, z, berr, cond, conv, ifail); + + /* Calculate the maximum relative errors of the roots, and the maximum + * forward error evaluating the polynomial at those roots. Errors are + * capped at machine precision. */ + maxrelerr = maxfwderr = eps; + Arrays.fill(matched, false); + + for (int i = 0; i < n; i++) { + + // Evaluate polynomial at this root + pz = a[0].clone(); + for (int j = 1; j <= n; j++) { + pz = z[i].multiply(pz).add(a[j]); + } + + // Match to an expected root + k = 0; + err = rmax; + for (int j = 0; j < n; j++) { + if (!matched[j]) { + delta = z[i].subtract(zact[j]).abs(); + if (delta <= err) { + err = delta; + k = j; + } + } + } + + // Mark as matched and update max errors + matched[k] = true; + relerr = err/zact[k].abs(); + fwderr = pz.abs(); + maxrelerr = Math.max(maxrelerr, relerr); + maxfwderr = Math.max(maxfwderr, fwderr); + + } + + // Print output + System.out.printf(" %2d %10.2E%10.2E\n", polish, maxrelerr, maxfwderr); + + } + + } + +} diff --git a/simple_examples/source/int32/C02ABJE.java b/simple_examples/source/int32/C02ABJE.java new file mode 100644 index 0000000..fad5ebb --- /dev/null +++ b/simple_examples/source/int32/C02ABJE.java @@ -0,0 +1,217 @@ +import com.nag.routines.C02.C02AB; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X02.X02AL; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * C02AB + */ +public class C02ABJE { + + public static void main(String[] args) { + + final boolean polish_example = false; + + Routine.setComplex(new NAGComplex()); + + System.out.println(" C02ABJ Example Program Results"); + + ex1_basic(args); + if (polish_example) { + ex2_polishing(args); + } + } + + public static void ex1_basic(String[] args) { + + int i, ifail, itmax, n = 0, polish; + + NAGComplex[] z = null; + double[] a = null, berr = null, cond = null; + int[] conv = null; + + System.out.println("\n Basic Problem\n"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading in data file + String line = reader.readLine(); + line = reader.readLine(); + line = reader.readLine(); + + // Read polynomial degree and allocate + line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + a = new double[n + 1]; + berr = new double[n]; + cond = new double[n]; + conv = new int[n]; + z = NAGComplex.createArray(n); + + // Read polynomial coefficients + for (i = 0; i <= n; i++) { + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + a[i] = Double.parseDouble(sVal[0]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Find roots of the polynomial + itmax = 30; + polish = 1; + ifail = 0; + C02AB c02ab = new C02AB(); + c02ab.eval(a ,n, itmax, polish, z, berr, cond, conv, ifail); + + // Print output + System.out.println(" i z conv berr cond"); + System.out.println(" -----------------------------------------------------"); + for (i = 0; i < n; i++) { + System.out.printf(" %2d (%10.2E, %9.2E) %3d %9.2E %9.2E\n", i+1, z[i].getRe(), z[i].getIm(), conv[i], berr[i], cond[i]); + } + } + + public static void ex2_polishing(String[] args) { + NAGComplex pz = new NAGComplex(); + double delta, eps, err, fwderr, maxfwderr, maxrelerr, relerr, rmax; + int i, ifail, itmax, j, k, n = 0, polish; + + NAGComplex[] z = null, zact = null; + double[] a = null, berr = null, cond = null; + int[] conv = null; + boolean[] matched = null; + + System.out.println("\n Polishing Processes\n"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading and previous example in data file + for (i = 0; i <= 12; i++) { + reader.readLine(); + } + + // Read polynomial degree and allocate + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + + a = new double[n + 1]; + berr = new double[n]; + cond = new double[n]; + conv = new int[n]; + matched = new boolean[n]; + z = NAGComplex.createArray(n); + zact = NAGComplex.createArray(n); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Set known roots + for (i = 0; i < n; i++) { + zact[i] = new NAGComplex((double) (i + 1), 0.0); + } + + // Multiply out (z-1)(z-2)...(z-n) for coefficients + for (i = 0; i < n; i++) { + a[i] = 0.0; + } + a[n] = 1.0; + for (i = 0; i < n; i++) { + for (j = 0; j < n; j++) { + a[j] = a[j + 1] - a[j] * zact[i].getRe(); + } + a[n] = -a[n] * zact[i].getRe(); + } + + System.out.println(" polish relerr fwderr"); + System.out.println(" ----------------------------"); + + // Use different polish modes + X02AJ x02aj = new X02AJ(); + X02AL x02al = new X02AL(); + for (polish = 0; polish <= 2; polish++) { + + itmax = 30; + eps = x02aj.eval(); + rmax = x02al.eval(); + + // Find roots + ifail = 0; + C02AB c02ab = new C02AB(); + c02ab.eval(a, n , itmax, polish, z, berr, cond, conv, ifail); + + // Calculate the maximum relative errors of the roots, and the maximum + // forward error evaluating the polynomial at those roots. Errors are + // capped at machine precision. + maxrelerr = eps; + maxfwderr = eps; + Arrays.fill(matched, false); + + for (i = 0; i < n; i++) { + // Evaluate polynomial at this root + pz = new NAGComplex(a[0], 0.0); + for (j = 1; j <= n; j++) { + pz = z[i].multiply(pz).add(new NAGComplex(a[j], 0.0)); + } + + // Match to an expected root + k = 0; + err = rmax; + for (j = 0; j < n; j++) { + if (!matched[j]) { + delta = z[i].subtract(zact[j]).abs(); + if (delta <= err) { + err = delta; + k = j; + } + } + } + + // Mark as matched and update max errors + matched[k] = true; + relerr = err/zact[k].abs(); + fwderr = pz.abs(); + maxrelerr = Math.max(maxrelerr, relerr); + maxfwderr = Math.max(maxfwderr, fwderr); + } + + // Print output + System.out.printf(" %2d %10.2E%10.2E\n", polish, maxrelerr, maxfwderr); + + } + } +} diff --git a/simple_examples/source/int32/C02AFJE.java b/simple_examples/source/int32/C02AFJE.java new file mode 100644 index 0000000..6043be7 --- /dev/null +++ b/simple_examples/source/int32/C02AFJE.java @@ -0,0 +1,271 @@ +import com.nag.routines.C02.C02AF; +import com.nag.routines.A02.A02AB; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X02.X02AL; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * C02AF + */ +public class C02AFJE { + + public static final boolean scal = true; + + public static void main(String[] args) { + + System.out.println(" C02AFJ Example Program Results"); + + ex1(args); + + ex2(args); + } + + public static void ex1(String[] args) { + + int i, ifail, n = 0; + + double[][] a = null, z = null; + double[] w = null; + + System.out.println("\n\n Example 1"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading in data file + reader.readLine(); + reader.readLine(); + reader.readLine(); + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + + a = new double[2][n + 1]; + w = new double[4 * (n + 1)]; + z = new double[2][n]; + + for (i = 0; i <= n; i++) { + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + a[0][i] = Double.parseDouble(sVal[0]); + a[1][i] = Double.parseDouble(sVal[1]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = 0; + C02AF c02af = new C02AF(); + double[] a1d = convert2DTo1D(a); + double[] z1d = convert2DTo1D(z); + c02af.eval(a1d, n, scal, z1d, w, ifail); + + z = convert1DTo2D(z1d, 2); + + System.out.println(); + System.out.printf(" Degree of polynomial = %4d\n", n); + System.out.println(); + System.out.println(" Computed roots of polynomial"); + System.out.println(); + + for (i = 0; i < n; i++) { + System.out.printf(" z = %12.4E%+12.4E*i\n", z[0][i], z[1][i]); + } + + } + + public static void ex2(String[] args) { + + double deltac, deltai, di, eps, epsbar, f, r1, r2, r3, rmax; + int i, ifail, j, jmin = 0, n = 0; + + double[][] a = null, abar = null, z = null, zbar = null; + double[] r = null, w = null; + int[] m = null; + + System.out.println("\n\n Example 2"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading and previous example in data file + for (i = 0; i < 12; i++) { + reader.readLine(); + } + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + a = new double[2][n + 1]; + abar = new double[2][n + 1]; + r = new double[n]; + w = new double[4 * (n + 1)]; + z = new double[2][n]; + zbar = new double[2][n]; + m = new int[n]; + + // Read in the coefficients of the original polynomial. + for (i = 0; i <= n; i++) { + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + a[0][i] = Double.parseDouble(sVal[0]); + a[1][i] = Double.parseDouble(sVal[1]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Compute the roots of the original polynomial. + ifail = 0; + C02AF c02af = new C02AF(); + double[] a1d = convert2DTo1D(a); + double[] z1d = convert2DTo1D(z); + c02af.eval(a1d, n, scal, z1d, w, ifail); + + z = convert1DTo2D(z1d, 2); + + // Form the coefficients of the perturbed polynomial. + X02AJ x02aj = new X02AJ(); + eps = x02aj.eval(); + epsbar = 3.0 * eps; + + for (i = 0; i <= n; i++) { + if (a[0][i] != 0.0E0) { + f = 1.0E0 + epsbar; + epsbar = -epsbar; + abar[0][i] = f * a[0][i]; + + if (a[1][i] != 0.0E0) { + abar[1][i] = f * a[1][i]; + } else { + abar[1][i] = 0.0E0; + } + + } else { + + if (a[1][i] != 0.0E0) { + f = 1.0E0 + epsbar; + epsbar = -epsbar; + abar[1][i] = f * a[1][i]; + } else { + abar[1][i] = 0.0E0; + } + } + } + + // Compute the roots of the perturbed polynomial. + ifail = 0; + double[] abar1d = convert2DTo1D(abar); + double[] zbar1d = convert2DTo1D(zbar); + c02af.eval(abar1d, n, scal, zbar1d, w, ifail); + + zbar = convert1DTo2D(zbar1d, 2); + + // Perform error analysis. + + // Initialize markers to 0 (unmarked). + Arrays.fill(m, 0); + X02AL x02al = new X02AL(); + rmax = x02al.eval(); + + // Loop over all unperturbed roots (stored in Z). + A02AB a02ab = new A02AB(); + for (i = 0; i < n; i++) { + deltai = rmax; + r1 = a02ab.eval(z[0][i], z[1][i]); + + // Loop over all perturbed roots (stored in ZBAR). + for (j = 0; j < n; j++) { + // Compare the current unperturbed root to all unmarked + // perturbed roots. + + if (m[j] == 0) { + r2 = a02ab.eval(zbar[0][j], zbar[1][j]); + deltac = Math.abs(r1 - r2); + + if (deltac < deltai) { + deltai = deltac; + jmin = j; + } + } + } + + // Mark the selected perturbed root. + m[jmin] = 1; + + // Compute the relative error. + if (r1 != 0.0E0) { + r3 = a02ab.eval(zbar[0][jmin], zbar[1][jmin]); + di = Math.min(r1, r3); + r[i] = Math.max(deltai / Math.max(di, deltai / rmax), eps); + } else { + r[i] = 0.0E0; + } + } + + System.out.println(); + System.out.printf(" Degree of polynomial = %4d\n", n); + System.out.println(); + System.out.println(" Computed roots of polynomial Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < n; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", z[0][i], z[1][i], r[i]); + } + + } + + public static double[] convert2DTo1D(double[][] a) { + double[] b = new double[a.length * a[0].length]; + int n = a.length; + + for (int i = 0; i < a.length; i++) { + for (int j = 0; j < a[0].length; j++) { + b[i + j*n] = a[i][j]; + } + } + + return b; + } + + public static double[][] convert1DTo2D(double[] a, int n) { + double[][] b = new double[n][a.length / n]; + + for (int i = 0; i < b.length; i++) { + for (int j = 0; j < b[0].length; j++) { + b[i][j] = a[i + j*n]; + } + } + + return b; + } +} diff --git a/simple_examples/source/int32/C02AGJE.java b/simple_examples/source/int32/C02AGJE.java new file mode 100644 index 0000000..c58e524 --- /dev/null +++ b/simple_examples/source/int32/C02AGJE.java @@ -0,0 +1,262 @@ +import com.nag.routines.C02.C02AG; +import com.nag.routines.A02.A02AB; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X02.X02AL; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * C02AG + */ +public class C02AGJE { + + public static final boolean scal = true; + + public static void main(String[] args) { + + System.out.println(" C02AGJ Example Program Results"); + + ex1(args); + + ex2(args); + } + + public static void ex1(String[] args) { + double zi, zr; + int i, ifail, n = 0, nroot; + + double[] a = null, w = null; + double[][] z = null; + + System.out.println("\n\n Example 1\n"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading in data file + reader.readLine(); + reader.readLine(); + reader.readLine(); + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + a = new double[n + 1]; + w = new double[2 * (n + 1)]; + z = new double[2][n]; + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i <= n; i++) { + a[i] = Double.parseDouble(sVal[i]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + System.out.println(); + System.out.printf(" Degree of polynomial = %4d\n", n); + System.out.println(); + + ifail = 0; + C02AG c02ag = new C02AG(); + double[] z1d = convert2DTo1D(z); + c02ag.eval(a, n, scal, z1d, w, ifail); + + z = convert1DTo2D(z1d, 2); + + System.out.println(" Computed roots of polynomial"); + System.out.println(); + + nroot = 0; + + while (nroot < n) { + zr = z[0][nroot]; + zi = z[1][nroot]; + if (zi == 0.0E0) { + System.out.printf(" z = %12.4E\n", zr); + nroot += 1; + } else { + System.out.printf(" z = %12.4E +/- %12.4E*i\n", zr, Math.abs(zi)); + nroot += 2; + } + } + } + + public static void ex2(String[] args) { + + double deltac, deltai, di, eps, epsbar, f, r1, r2, r3, rmax; + int i, ifail, j, jmin = 0, n = 0; + + double[] a = null, abar = null, r = null, w = null; + double[][] z = null, zbar = null; + int[] m = null; + + System.out.println("\n\n Example 2"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading and previous example in data file + for (i = 0; i < 7; i++) { + reader.readLine(); + } + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + + a = new double[n+1]; + abar = new double[n+1]; + r = new double[n]; + w = new double[2 * (n+1)]; + z = new double[2][n]; + zbar = new double[2][n]; + m = new int[n]; + + // Read in the coefficients of the original polynomial. + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i <= n; i++) { + a[i] = Double.parseDouble(sVal[i]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Compute the roots of the original polynomial. + ifail = 0; + C02AG c02ag = new C02AG(); + double[] z1d = convert2DTo1D(z); + c02ag.eval(a, n, scal, z1d ,w, ifail); + + z = convert1DTo2D(z1d, 2); + + // Form the coefficients of the perturbed polynomial. + X02AJ x02aj = new X02AJ(); + eps = x02aj.eval(); + epsbar= 3.0 * eps; + + for (i = 0; i <= n; i++) { + if (a[i] != 0.0) { + f = 1.0 + epsbar; + epsbar = -epsbar; + abar[i] = f * a[i]; + } else { + abar[i] = 0.0E0; + } + } + + // Compute the roots of the perturbed polynomial. + ifail = 0; + double[] zbar1d = convert2DTo1D(zbar); + c02ag.eval(abar, n, scal, zbar1d, w, ifail); + + zbar = convert1DTo2D(zbar1d, 2); + + // Perform error analysis. + + // Initialize markers to 0 (unmarked). + Arrays.fill(m, 0); + + X02AL x02al = new X02AL(); + rmax = x02al.eval(); + + // Loop over all unperturbed roots (stored in Z). + A02AB a02ab = new A02AB(); + for (i = 0; i < n; i++) { + deltai = rmax; + r1 = a02ab.eval(z[0][i], z[1][i]); + + // Loop over all perturbed roots (stored in ZBAR). + for (j = 0; j < n; j++) { + // Compare the current unperturbed root to all unmarked + // perturbed roots. + + if (m[j] == 0) { + r2 = a02ab.eval(zbar[0][i], zbar[1][i]); + deltac = Math.abs(r1-r2); + + if (deltac < deltai) { + deltai = deltac; + jmin = j; + } + } + } + + // Mark the selected perturbed root. + m[jmin] = 1; + + // Compute the relative error. + if (r1 != 0.0E0) { + r3 = a02ab.eval(zbar[0][jmin], zbar[1][jmin]); + di = Math.min(r1, r3); + r[i] = Math.max(deltai / Math.max(di, deltai / rmax), eps); + } else { + r[i] = 0.0; + } + } + + System.out.println(); + System.out.printf(" Degree of polynomial = %4d\n", n); + System.out.println(); + System.out.println(" Computed roots of polynomial Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < n; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", z[0][i], z[1][i], r[i]); + } + } + + public static double[] convert2DTo1D(double[][] a) { + double[] b = new double[a.length * a[0].length]; + int n = a.length; + + for (int i = 0; i < a.length; i++) { + for (int j = 0; j < a[0].length; j++) { + b[i + j * n] = a[i][j]; + } + } + + return b; + } + + public static double[][] convert1DTo2D(double[] a, int n) { + double[][] b = new double[n][a.length / n]; + + for (int i = 0; i < b.length; i++) { + for (int j = 0; j < b[0].length; j++) { + b[i][j] = a[i + j * n]; + } + } + + return b; + } +} diff --git a/simple_examples/source/int32/C02AHJE.java b/simple_examples/source/int32/C02AHJE.java new file mode 100644 index 0000000..b1e12cd --- /dev/null +++ b/simple_examples/source/int32/C02AHJE.java @@ -0,0 +1,61 @@ +import com.nag.routines.C02.C02AH; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AH + */ +public class C02AHJE { + + public static void main(String[] args) { + + double ai = 0, ar = 0, bi = 0, br = 0, ci = 0, cr = 0; + int ifail; + + double[] zlg = new double[2]; + double[] zsm = new double[2]; + + System.out.println(" C02AHJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + ar = Double.parseDouble(sVal[0]); + ai = Double.parseDouble(sVal[1]); + br = Double.parseDouble(sVal[2]); + bi = Double.parseDouble(sVal[3]); + cr = Double.parseDouble(sVal[4]); + ci = Double.parseDouble(sVal[5]); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = -1; + C02AH c02ah = new C02AH(); + c02ah.eval(ar, ai, br, bi, cr, ci, zsm, zlg, ifail); + ifail = c02ah.getIFAIL(); + + if (ifail == 0) { + System.out.println("\n Roots of quadratic equation\n"); + System.out.printf(" z = %12.4E%+14.4E*i\n", zsm[0], zsm[1]); + System.out.printf(" z = %12.4E%+14.4E*i\n", zlg[0], zlg[1]); + } + } +} diff --git a/simple_examples/source/int32/C02AJJE.java b/simple_examples/source/int32/C02AJJE.java new file mode 100644 index 0000000..64e3a5e --- /dev/null +++ b/simple_examples/source/int32/C02AJJE.java @@ -0,0 +1,65 @@ +import com.nag.routines.C02.C02AJ; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AJ + */ +public class C02AJJE { + + public static void main(String[] args) { + + double a = 0, b = 0, c = 0; + int ifail; + + double[] zlg = new double[2]; + double[] zsm = new double[2]; + + System.out.println(" C02AJJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + a = Double.parseDouble(sVal[0]); + b = Double.parseDouble(sVal[1]); + c = Double.parseDouble(sVal[2]); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = -1; + C02AJ c02aj = new C02AJ(); + c02aj.eval(a, b, c, zsm, zlg, ifail); + ifail = c02aj.getIFAIL(); + + if (ifail == 0) { + System.out.println("\n Roots of quadratic equation\n"); + + if (zsm[1] == 0.0E0) { + // 2 real roots. + System.out.printf(" z = %12.4E\n", zsm[0]); + System.out.printf(" z = %12.4E\n", zlg[0]); + } else { + // 2 complex roots. + System.out.printf(" z = %12.4E +/- %12.4E*i", zsm[0], Math.abs(zsm[1])); + } + } + } +} diff --git a/simple_examples/source/int32/C02AKJE.java b/simple_examples/source/int32/C02AKJE.java new file mode 100644 index 0000000..4a0579f --- /dev/null +++ b/simple_examples/source/int32/C02AKJE.java @@ -0,0 +1,62 @@ +import com.nag.routines.C02.C02AK; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AK + */ +public class C02AKJE { + + public static void main(String[] args) { + + double r = 0, s = 0, t = 0, u = 0; + int i, ifail; + + double[] errest = new double[3]; + double[] zeroi = new double[3]; + double[] zeror = new double[3]; + + System.out.println(" C02AKJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + u = Double.parseDouble(sVal[0]); + r = Double.parseDouble(sVal[1]); + s = Double.parseDouble(sVal[2]); + t = Double.parseDouble(sVal[3]); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = 0; + C02AK c02ak = new C02AK(); + c02ak.eval(u, r, s, t, zeror, zeroi, errest, ifail); + + System.out.println(); + System.out.println(" Roots of cubic equation Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < 3; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); + } + } +} diff --git a/simple_examples/source/int32/C02ALJE.java b/simple_examples/source/int32/C02ALJE.java new file mode 100644 index 0000000..4f9eac9 --- /dev/null +++ b/simple_examples/source/int32/C02ALJE.java @@ -0,0 +1,64 @@ +import com.nag.routines.C02.C02AL; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AL + */ +public class C02ALJE { + + public static void main(String[] args) { + + double a = 0, b = 0, c = 0, d = 0, e = 0; + int i, ifail; + + double[] errest = new double[4]; + double[] zeroi = new double[4]; + double[] zeror = new double[4]; + + System.out.println(" C02ALJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + e = Double.parseDouble(sVal[0]); + a = Double.parseDouble(sVal[1]); + b = Double.parseDouble(sVal[2]); + c = Double.parseDouble(sVal[3]); + d = Double.parseDouble(sVal[4]); + + } catch (FileNotFoundException e_exception) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e_exception) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e_exception.getMessage()); + } + + ifail = 0; + C02AL c02al = new C02AL(); + c02al.eval(e, a, b, c, d, zeror, zeroi, errest, ifail); + ifail = c02al.getIFAIL(); + + System.out.println(); + System.out.println(" Roots of quartic equation Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < 4; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); + } + } +} diff --git a/simple_examples/source/int32/C02AMJE.java b/simple_examples/source/int32/C02AMJE.java new file mode 100644 index 0000000..f1fffa4 --- /dev/null +++ b/simple_examples/source/int32/C02AMJE.java @@ -0,0 +1,75 @@ +import com.nag.routines.C02.C02AM; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AM + */ +public class C02AMJE { + + public static void main(String[] args) { + + Routine.setComplex(new NAGComplex()); + + NAGComplex r = null, s = null, t = null, u = null; + int i, ifail; + + double[] errest = new double[3]; + double[] zeroi = new double[3]; + double[] zeror = new double[3]; + + System.out.println(" C02AMJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine().replaceAll("[(),]", ""); + String[] sVal = line.trim().split("\\s+"); + u = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + r = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + s = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + t = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = 0; + C02AM c02am = new C02AM(); + c02am.eval(u, r, s, t, zeror, zeroi, errest, ifail); + + System.out.println(); + System.out.println(" Roots of cubic equation Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < 3; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); + } + } +} diff --git a/simple_examples/source/int32/C02ANJE.java b/simple_examples/source/int32/C02ANJE.java new file mode 100644 index 0000000..dc865e2 --- /dev/null +++ b/simple_examples/source/int32/C02ANJE.java @@ -0,0 +1,80 @@ +import com.nag.routines.C02.C02AN; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AN + */ +public class C02ANJE { + + public static void main(String[] args) { + + Routine.setComplex(new NAGComplex()); + + NAGComplex a = null, b = null, c = null, d = null, e = null; + int i, ifail; + + double[] errest = new double[4]; + double[] zeroi = new double[4]; + double[] zeror = new double[4]; + + System.out.println(" C02ANJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine().replaceAll("[(),]", ""); + String[] sVal = line.trim().split("\\s+"); + e = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + a = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + b = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + c = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + d = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + } catch (FileNotFoundException e_exception) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e_exception) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e_exception.getMessage()); + } + + ifail = 0; + C02AN c02an = new C02AN(); + c02an.eval(e, a, b, c, d, zeror, zeroi, errest, ifail); + ifail = c02an.getIFAIL(); + + System.out.println(); + System.out.println(" Roots of quartic equation Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < 4; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); + } + } +} diff --git a/simple_examples/source/int32/C05AUJE.java b/simple_examples/source/int32/C05AUJE.java new file mode 100644 index 0000000..d2b09b1 --- /dev/null +++ b/simple_examples/source/int32/C05AUJE.java @@ -0,0 +1,67 @@ +import com.nag.routines.C05.C05AU; + +/** + * C05AUJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class C05AUJE{ + + /** + * C05AUJ main program + */ + public static void main(String[] args){ + double a = 0, b = 0, eps, eta, h, x; //placeholders + int ifail; + double[] ruser; + int[] iuser; + + ruser = new double[1]; //need to initialise before passing to wrapper + iuser = new int[1]; + + System.out.println("C05AUJ Example Program Results"); + + x = 1; + h = 0.1; + eps = 0.00001; + eta = 0; + + //Instance of class f to pass to wrapper + f f1 = new f(); + + ifail = -1; + C05AU c05au = new C05AU(x, h, eps, eta, f1, a, b, iuser, ruser, ifail); + c05au.eval(); + + //update values + x = c05au.getX(); + a = c05au.getA(); + b = c05au.getB(); + ifail = c05au.getIFAIL(); + + System.out.println(); + + switch(ifail){ + case 0: + System.out.printf("Root is : \t%.5f\n", x); + System.out.printf("Interval searched is : \t[ %.5f, %.5f]\n", a, b); + break; + case 3: + case 4: + System.out.printf("Final value = %.5f\n", x); + break; + } + } + + /** + * Extends abstract class C05AU.Abstract_C05AU_F. eval() returns the value of the function at a given x. + * eval() must be implemented by the user. + * @return x - e^x + */ + public static class f extends C05AU.Abstract_C05AU_F{ + public double eval(){ + return(this.X - Math.exp(-this.X)); + } + } +} + diff --git a/simple_examples/source/int32/C05AWJE.java b/simple_examples/source/int32/C05AWJE.java new file mode 100644 index 0000000..6ea3c9f --- /dev/null +++ b/simple_examples/source/int32/C05AWJE.java @@ -0,0 +1,59 @@ +import com.nag.routines.C05.C05AW; + +public class C05AWJE{ + + public static void main(String[] args){ + double eps, eta, x; + int ifail, nfmax; + double[] ruser; + int[] iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println("C05AWJ Example Program Results"); + System.out.println(); + + boolean finished = false; + for(int i = 3; i <= 4; i++){ + eps = Math.pow(10, -i); + x = 1; + eta = 0; + nfmax = 200; + + ifail = -1; + f f1 = new f(); + C05AW c05aw = new C05AW(x, eps, eta, f1, nfmax, iuser, ruser, ifail); + c05aw.eval(); + + ifail = c05aw.getIFAIL(); + x = c05aw.getX(); + eps = c05aw.getEPS(); + + switch(ifail){ + case(0): + System.out.printf("With eps = %.2e root = %.5f\n", eps, x); + break; + case(-1): + //exit loop + finished = true; + break; + case(3): + case(4): + System.out.printf("With eps = %.2e root = %.5f\n", eps, x); + break; + } + if(finished){ + break; + } + } + } + + public static class f extends C05AW.Abstract_C05AW_F{ + public double eval(){ + return(Math.exp(-X) - X); + } + } +} + + diff --git a/simple_examples/source/int32/C05AYJE.java b/simple_examples/source/int32/C05AYJE.java new file mode 100644 index 0000000..c9ee43b --- /dev/null +++ b/simple_examples/source/int32/C05AYJE.java @@ -0,0 +1,44 @@ +import com.nag.routines.C05.C05AY; + +/** + * C05AY example program text. + */ +public class C05AYJE { + + public static void main(String[] args) { + + C05AY c05ay = new C05AY(); + OBJFUN f = new OBJFUN(); + double a = 0.0, b = 1.0, eps = 1.0e-5, eta = 0.0, x = 0.0; + int ifail = 0; + int[] iuser = new int[1]; + double[] ruser = new double[1]; + + System.out.println("C05AYJ Example Program Results"); + System.out.println(); + + c05ay.eval(a, b, eps, eta, f, x, iuser, ruser, ifail); + x = c05ay.getX(); + + switch (ifail) { + case 0: + System.out.printf("Zero at x = %12.5f\n", x); + break; + case 2: case 3: + System.out.printf("Final point = %12.5f\n", x); + break; + default: + System.out.println("Unexpected ifail = " + ifail); + } + + } + + private static class OBJFUN extends C05AY.Abstract_C05AY_F { + + public double eval() { + return Math.exp(-X) - X; + } + + } + +} diff --git a/simple_examples/source/int32/C05AZJE.java b/simple_examples/source/int32/C05AZJE.java new file mode 100644 index 0000000..7c3e27e --- /dev/null +++ b/simple_examples/source/int32/C05AZJE.java @@ -0,0 +1,65 @@ +import com.nag.routines.C05.C05AZ; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * C05AZ example program text. + */ +public class C05AZJE { + + public static void main(String[] args) { + double tolx = 0.00001, x = 0.0, y = 1.0, fx; + int ir = 0, ind = 1, ifail = -1; + double[] c = new double[17]; + boolean keepOn = true; + + + C05AZ c05az = new C05AZ(); + fx = fun(x); + int ite = 0; + + System.out.println(" C05AZJ Example Program Results\n"); + System.out.println(" Iterations\n"); + + while (keepOn) { + ++ite; + + c05az.eval(x,y,fx,tolx,ir,c,ind,ifail); + + x = c05az.getX(); + y = c05az.getY(); + tolx = c05az.getTOLX(); + ir = c05az.getIR(); + ind = c05az.getIND(); + ifail = c05az.getIFAIL(); + if (ind == 0) { + keepOn = false; + } + else { + fx = fun(x); + System.out.printf(" X = %7.5f FX = %11.4E IND = %1d\n", x, fx, ind); + } + + } + + switch (ifail) { + case 0: + System.out.println("\n Solution\n"); + System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); + break; + case 4: + case 5: + System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); + break; + default: + System.out.printf("Unexpected error ifail=%d\n",ifail); + } + + } + + private static double fun(double x) { + double res = (Math.expm1(-x) + 1) - x; + return res; + } + +} diff --git a/simple_examples/source/int32/C05BBJE.java b/simple_examples/source/int32/C05BBJE.java new file mode 100644 index 0000000..4723773 --- /dev/null +++ b/simple_examples/source/int32/C05BBJE.java @@ -0,0 +1,89 @@ +import com.nag.routines.C05.C05BB; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C05BBJ Example program text. + * @author willa + * @since 27.1.0.0 + */ +public class C05BBJE{ + + /** + * C05BBJE main program text + */ + public static void main(String[] args){ + NAGComplex w, z; + double resid = 0; + int branch = 0, ifail = 0; //placeholder + boolean offset = false; //placeholder + + //need to initialise first + z = new NAGComplex(); + w = new NAGComplex(); + + System.out.println("C05BBJ Example Program Results"); + + if(args.length != 1){ + System.out.println("Please specify path to data file as input"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + branch = Integer.parseInt(sVal[0]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + offset = Boolean.parseBoolean(sVal[0]); + + System.out.printf("Branch = %d\n", branch); + System.out.printf("Offset = %b\n", offset); + + System.out.println(); + System.out.printf("\t\tZ\t\t\tW(Z)\t\t\t\tRESID\tIFAIL\n"); + System.out.println(); + + while(true){ + line = reader.readLine(); + if(line == null){ + break; + } + sVal = line.split("\\s+"); + + z.setRe(Double.parseDouble(sVal[0])); + z.setIm(Double.parseDouble(sVal[1])); + + ifail = -1; + C05BB c05bb = new C05BB(branch, offset, z, w, resid, ifail); + c05bb.eval(); + + z = (NAGComplex) c05bb.getZ(); + w = (NAGComplex) c05bb.getW(); + resid = c05bb.getRESID(); + ifail = c05bb.getIFAIL(); + + if(ifail < 0){ + break; + } + + System.out.printf("(%.5e, %.5e)\t (%.5e, %.5e)\t %.5e\t %d\n", z.getRe(), z.getIm(), w.getRe(), w.getIm(), resid, ifail); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} diff --git a/simple_examples/source/int32/C05MBJE.java b/simple_examples/source/int32/C05MBJE.java new file mode 100644 index 0000000..9b46ff5 --- /dev/null +++ b/simple_examples/source/int32/C05MBJE.java @@ -0,0 +1,95 @@ +import com.nag.routines.C05.C05MB; +import com.nag.routines.F06.DNRM2; +import com.nag.routines.X02.X02AJ; + +/** + * C05MBJ example program text. + * + * @author joed + * @since 27.0.0.0 + * + */ +public class C05MBJE { + + private static final int n = 4; + + private static class FCN extends C05MB.Abstract_C05MB_FCN { + + public void eval() { + + FVEC[0] = Math.cos(X[2]) - X[0]; + FVEC[1] = Math.sqrt(1.0 - Math.pow(X[3],2)) - X[1]; + FVEC[2] = Math.sin(X[0]) - X[2]; + FVEC[3] = Math.pow(X[1], 2) - X[3]; + + // Set iflag negative to terminate execution for any reason + IFLAG = 0; + + return; + + } + + } + + /** + * C05MBJ example main program. + */ + public static void main(String[] args) { + + C05MB c05mb = new C05MB(); + DNRM2 dnrm2 = new DNRM2(); + X02AJ x02aj = new X02AJ(); + FCN fcn = new FCN(); + long cpuser; + double atol, cndtol, fnorm, machpr, rtol; + int astart, i, ifail, m; + double[] fvec, x; + double[] ruser = new double[1]; + int[] iuser = new int[1]; + + System.out.println("C05MBJ Example Program Results\n"); + + // Get machine precision from X02AJ + machpr = (new X02AJ()).eval(); + + fvec = new double[n]; + x = new double[n]; + + // The following starting values provide a rough solution + x = new double[]{2.0, 0.5, 2.0, 0.5}; + + m = 2; + atol = Math.sqrt(machpr); + rtol = Math.sqrt(machpr); + cndtol = 0.0; + astart = 0; + cpuser = 0; + + ifail = -1; + c05mb.eval(fcn, n, x, fvec, atol, rtol, m, cndtol, astart, iuser, ruser, + cpuser, ifail); + ifail = c05mb.getIFAIL(); + + if (ifail == 0 || ifail == 8 || ifail == 9) { + if (ifail == 0) { + // The NAG name equivalent of dnrm2 is f06ej + fnorm = dnrm2.eval(n, fvec, 1); + System.out.println(); + System.out.printf("Final 2-norm of the residuals = %12.4e\n", fnorm); + System.out.println(); + System.out.println("Final approximate solution"); + } + else { + System.out.println(); + System.out.println("Approximate solution"); + } + System.out.println(); + for (i = 1; i <= n; i++) { + System.out.printf("%12.4f", x[i-1]); + } + System.out.printf("\n"); + } + + } + +} diff --git a/simple_examples/source/int32/C05QBJE.java b/simple_examples/source/int32/C05QBJE.java new file mode 100644 index 0000000..4b93405 --- /dev/null +++ b/simple_examples/source/int32/C05QBJE.java @@ -0,0 +1,167 @@ +import com.nag.routines.C05.C05QB; +import com.nag.routines.F06.DNRM2; +import com.nag.routines.X02.X02AJ; + +/** + * C05QB example program text. + * @author ludovic + */ +public class C05QBJE { + + public static void main(String[] args) { + + C05QB c05qb = new C05QB(); + + System.out.println(" C05QBJ Example Program Results"); + + int n = 9, ifail = -1; + + double xtol, fnorm; + + int[] IUSER = new int[1]; + double[] fvec = new double[n]; + double[] x = new double[n]; + double[] RUSER = new double[1]; + + + FCN fcn = new FCN(); + + for (int i = 0; i < n; ++i) { + x[i] = -1.0; + } + xtol = Math.sqrt((new X02AJ()).eval()); + + c05qb.eval(fcn, n, x, fvec, xtol, IUSER, RUSER, ifail); + + ifail = c05qb.getIFAIL(); + + switch (ifail) { + case (0): + fnorm = (new DNRM2(n, fvec, 1)).eval(); + System.out.println(); + System.out.printf(" Final 2-norm of the residuals = %11.4E\n", fnorm); + System.out.println(); + System.out.println(" Final approximate solution"); + int count = 0; + for (int i = 0; i < n; ++i) { + System.out.printf(" %12.4f", x[i]); + ++count; + if (count == 3) { + System.out.println(); + count = 0; + } + } + break; + case (2): + case (3): + case (4): + System.out.println("Approximate solution"); + count = 0; + for (int i = 0; i < n; ++i) { + System.out.printf(" %12.4f", x[i]); + ++count; + if (count == 3) { + System.out.println(); + count = 0; + } + } + break; + } + + } + + public static class FCN implements C05QB.C05QB_FCN { + + private int N, IFLAG; + private double[] X, FVEC, RUSER; + private int[] IUSER; + + @Override + public void setN(int N) { + this.N = N; + } + + @Override + public int getN() { + return N; + } + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setFVEC(double[] FVEC) { + this.FVEC = FVEC; + } + + @Override + public double[] getFVEC() { + return FVEC; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void eval(int N, double[] X, double[] FVEC, int[] IUSER, double[] RUSER, int IFLAG) { + + /* + * fvec(1:n) = (3.0_nag_wp-2.0_nag_wp*x(1:n))*x(1:n) + 1.0_nag_wp + * fvec(2:n) = fvec(2:n) - x(1:(n-1)) + * fvec(1:(n-1)) = fvec(1:(n-1)) - 2.0_nag_wp*x(2:n) + */ + for (int i = 0; i < N; ++i) { + FVEC[i] = (3.0 - 2.0 * X[i]) * X[i] + 1.0; + /*if (i >= 1) { + FVEC[i] = FVEC[i] - X[i - 1]; + } + if (i < N - 1) { + FVEC[i] = FVEC[i] - 2.0 * X[i + 1]; + }*/ + } + for (int i = 1; i < N; ++i) { + FVEC[i] = FVEC[i] - X[i - 1]; + } + for (int i = 0; i < N-1; ++i) { + FVEC[i] = FVEC[i] - 2.0 * X[i + 1]; + } + + } + + } + +} diff --git a/simple_examples/source/int32/C06BAJE.java b/simple_examples/source/int32/C06BAJE.java new file mode 100644 index 0000000..541d4d3 --- /dev/null +++ b/simple_examples/source/int32/C06BAJE.java @@ -0,0 +1,56 @@ +import com.nag.routines.C06.C06BA; +import com.nag.routines.X01.X01AA; + +/** + * C06BAJ example program text. + * @author willa + */ +public class C06BAJE{ + + public static void main(String[] args){ + int lwork = 16, nout = 6; + int ifail, ncall; + double abserr = 0.0, ans, error, pi = 0.0, r, result = 0.0, seqn, sig; + double[] work; + + C06BA c06ba = new C06BA(); + work = new double[lwork]; + + System.out.println("C06BAJ Example Program Results"); + System.out.println(); + + X01AA x01aa = new X01AA(pi); + pi = x01aa.eval(); + + ans = Math.pow(pi, 2)/12.0; + ncall = 0; + sig = 1.0; + seqn = 0.0; + System.out.println("\t\t\t Estimated\t Actual"); + System.out.println("I\t SEQN \t RESULT\t abs error\t error"); + System.out.println(); + + for(int i = 0; i < 10; i++){ + r = (double) i + 1; + seqn = seqn + sig/Math.pow(r, 2); + + ifail = 0; + c06ba.eval(seqn, ncall, result, abserr, work, lwork, ifail); + + //update variables + ncall = c06ba.getNCALL(); + result = c06ba.getRESULT(); + abserr = c06ba.getABSERR(); + + error = result - ans; + sig = -sig; + + if(i <= 2){ + System.out.printf("%d\t %.4f\t %.4f\t -\t\t %.2e\n", (i + 1), seqn, result, error); + } + else{ + System.out.printf("%d\t %.4f\t %.4f\t %.2e\t %.2e\n", (i + 1), seqn, result, abserr, error); + } + } + } +} diff --git a/simple_examples/source/int32/C06FKJE.java b/simple_examples/source/int32/C06FKJE.java new file mode 100644 index 0000000..58db62f --- /dev/null +++ b/simple_examples/source/int32/C06FKJE.java @@ -0,0 +1,91 @@ +import com.nag.routines.C06.C06FK; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C06FKJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class C06FKJE{ + + /** + * C06FKJE main program + */ + public static void main(String[] args){ + int ifail = 0, n = 0; //placeholder + double[] work, xa, xb, ya, yb; + + work = new double[0]; + xa = new double[0]; + xb = new double[0]; + ya = new double[0]; + yb = new double[0]; //placeholders + + System.out.println("C06FKJ Example Program Results"); + System.out.println(); + + //Supply file path as argument + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //Loop until break... + while(true){ + line = reader.readLine(); + //Break when the end of the file is reached + if(line == null){ + break; + } + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[0]); + + work = new double[n]; + xa = new double[n]; + xb = new double[n]; + ya = new double[n]; + yb = new double[n]; + + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + xa[i] = Double.parseDouble(sVal[0]); + xb[i] = xa[i]; + ya[i] = Double.parseDouble(sVal[1]); + yb[i] = ya[i]; + } + + ifail = 0; + + C06FK c06fk1 = new C06FK(1, xa, ya, n, work, ifail); + c06fk1.eval(); + xa = c06fk1.getX(); + C06FK c06fk2 = new C06FK(2, xb, yb, n, work, ifail); + c06fk2.eval(); + xb = c06fk2.getX(); + + System.out.printf("\tCovolution \tCorrelation\n"); + System.out.println(); + + for(int i = 0; i < n; i++){ + System.out.printf("%d\t%.5f\t\t%.5f\n", i, xa[i], xb[i]); + } + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} diff --git a/simple_examples/source/int32/C09AAJE.java b/simple_examples/source/int32/C09AAJE.java new file mode 100644 index 0000000..48c38b6 --- /dev/null +++ b/simple_examples/source/int32/C09AAJE.java @@ -0,0 +1,158 @@ +import com.nag.routines.C09.C09AA; +import com.nag.routines.C09.C09CC; +import com.nag.routines.C09.C09CD; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C09AAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class C09AAJE{ + + /** + * C09AAJ example main program + */ + public static void main(String[] args){ + int ifail, lenc = 0, n = 0, nf = 0, nnz, nwc = 0, nwlmax = 0, ny; //placeholders + String mode = "", wavnam = "", wtrans; //placeholders + int[] dwtlev, icomm; + double[] c, x, y; + + x = new double[0]; y = new double[0]; //placeholders + + //print error message if no data file given + if(args.length != 1){ + C09AAJE.usage(); + } + + icomm = new int[100]; + + System.out.println("C09AAJ Example Program Results"); + System.out.println(); + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[1]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + wavnam = sVal[1]; + mode = sVal[2]; + + x = new double[n]; + y = new double[n]; + + System.out.printf("Parameters read from file :: \n \tWavelet : %s \tEnd mode : %s \t N = %d\n", wavnam, mode, n); + + System.out.println("Input data \tX : "); + for(int i = 0; i < n; i++){ + line = reader.readLine(); + //Avoid errors with data file format and negative numbers + line = " " + line; + sVal = line.split("\\s+"); + x[i] = Double.parseDouble(sVal[1]); + System.out.printf("%.3f\t", x[i]); + } + System.out.printf("\n"); + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + //Query wavelet filter dimensions + //For Multi-Resolution analysis ,decomposition, wrtrans = 'M' + wtrans = "Multilevel"; + + //ifail: behaviour on error exit + // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft + ifail = 0; + C09AA c09aa = new C09AA(wavnam, wtrans, mode, n, nwlmax, nf, nwc, icomm, ifail); + c09aa.eval(); + + nwc = c09aa.getNWC(); + nwlmax = c09aa.getNWLMAX(); + lenc = nwc; + c = new double[lenc]; + dwtlev = new int[nwlmax + 1]; + + icomm = c09aa.getICOMM(); + ifail = 0; + //Perform discrete wavelet transform + C09CC c09cc = new C09CC(n, x, lenc, c, nwlmax, dwtlev, icomm, ifail); + c09cc.eval(); + + nf = c09aa.getNF(); + nwlmax = c09cc.getNWL(); + dwtlev = c09cc.getDWTLEV(); + c = c09cc.getC(); + + System.out.println(); + System.out.printf("Length of wavelet filter : \t%d\n", nf); + System.out.printf("Number of Levels : \t%d\n", nwlmax); + System.out.printf("Number of coefficients in each level: \n\t\t"); + for(int i = 0; i <= nwlmax; i++){ + System.out.printf("%d\t ", dwtlev[i]); + } + System.out.printf("\n"); + System.out.printf("Total number of wavelength coefficients : %d\n", nwc); + nnz = arraySum(dwtlev); + System.out.println(); + System.out.println("Wavelet coefficients C:"); + for(int i = 0; i < nnz; i++){ + System.out.printf("%.3f ", c[i]); + } + System.out.printf("\n"); + + //Reconstruct original data + ny = n; + + ifail = 0; + lenc = c09cc.getLENC(); + icomm = c09cc.getICOMM(); + C09CD c09cd = new C09CD(nwlmax, lenc, c, ny, y, icomm, ifail); + c09cd.eval(); + + y = c09cd.getY(); + System.out.println(); + System.out.printf("Reconstruction \tY : \n"); + for(int i = 0; i < ny; i++){ + System.out.printf("%.3f ", y[i]); + } + System.out.printf("\n"); + } + + /** + * Finds the sum of all integers in an array + * @param a + * Array to sum + * @return total + */ + private static int arraySum(int[] a){ + int tot = 0; + for(int i = 0; i < a.length; i++){ + tot += a[i]; + } + return tot; + } + + /** + * No arguments supplied when exmaple runs + */ + private static void usage(){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} diff --git a/simple_examples/source/int32/D01BDJE.java b/simple_examples/source/int32/D01BDJE.java new file mode 100644 index 0000000..8659cc4 --- /dev/null +++ b/simple_examples/source/int32/D01BDJE.java @@ -0,0 +1,58 @@ +import com.nag.routines.D01.D01BD; + +/** + * D01BD example program text. + */ +public class D01BDJE { + + public static void main(String[] args) { + + double a = 0.0, b = 1.0; + double epsabs = 0.0, epsrel = 0.0001; + double result = Double.NaN; + double abserr = Double.NaN; + FUN fun = new FUN(); + D01BD d01bd = new D01BD(fun, a, b, epsabs, epsrel, result, abserr); + + d01bd.eval(); + result = d01bd.getRESULT(); + abserr = d01bd.getABSERR(); + + System.out.println(" D01BDJ Example Program Results"); + + System.out.println(); + System.out.printf(" A - lower limit of integration = %10.4f\n",a); + System.out.printf(" B - upper limit of integration = %10.4f\n",b); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.println(); + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.println(); + + if (abserr > Math.max(epsabs,epsrel*Math.abs(result))) { + System.out.println("Warning - requested accuracy may not have been achieved"); + } + + } + + + public static class FUN implements D01BD.D01BD_F { + + private double x; + + public double eval(double x) { + return (x * x * Math.sin(10.0 * Math.PI * x)); + } + + public double getX() { + return x; + } + + public void setX(double d) { + x = d; + } + + } + +} diff --git a/simple_examples/source/int32/D01RJJE.java b/simple_examples/source/int32/D01RJJE.java new file mode 100644 index 0000000..9eee98a --- /dev/null +++ b/simple_examples/source/int32/D01RJJE.java @@ -0,0 +1,184 @@ +import com.nag.routines.D01.D01RJ; +import com.nag.routines.X01.X01AA; +import java.util.Arrays; + +/** + * D01RJ example program text. + * @author Mo + */ +public class D01RJJE { + + public static void main(String[] args) { + + double pi = 0.0; + double a, b, epsabs, epsrel; + double result = Double.NaN; + double abserr = Double.NaN; + double[] rinfo, ruser; + int [] iinfo, iuser; + int ifail, liinfo, lrinfo, maxsub; + long cpuser; // c_ptr + F f = new F(); + + /* Header */ + System.out.println(" D01RJJ Example Program Results"); + + X01AA x01aa = new X01AA(pi); + pi = x01aa.eval(); + a = 0.0; + b = 2.0*pi; + epsabs = 0.0; + epsrel = 0.0001; + maxsub = 20; + lrinfo = 4*maxsub; + liinfo = Math.max(maxsub,4); + + rinfo = new double[lrinfo]; + iinfo = new int[liinfo]; + iuser = new int[0]; + ruser = new double[0]; + + iuser = new int[] {0}; + /* pass constant to f through ruser */ + ruser = new double[] {4.0*Math.pow(pi,2)}; + cpuser = 0L; + + D01RJ d01rj = new D01RJ(); + ifail = -1; + d01rj.eval(f, a, b, epsabs, epsrel, maxsub, result, abserr, + rinfo, iinfo, iuser, ruser, cpuser, ifail); + result = d01rj.getRESULT(); + abserr = d01rj.getABSERR(); + ifail = d01rj.getIFAIL(); + + if (ifail >= 0) { + System.out.println(); + System.out.printf(" A - lower limit of integration = %9.4f\n",a); + System.out.printf(" B - upper limit of integration = %9.4f\n",b); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); + System.out.println(); + if (ifail <= 5) { + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); + System.out.println(); + } + else if (ifail == -1) { + /* User requested exit */ + System.out.printf(" Exit requested from F with IFLAG %4d\n",iuser[0]); + System.out.println(); + } + + } + + } + + public static class F implements D01RJ.D01RJ_F { + + private int NX, IFLAG; + private double[] X, FV, RUSER; + private int[] IUSER; + private long CPUSER; + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setNX(int NX) { + this.NX = NX; + } + + @Override + public int getNX() { + return NX; + } + + @Override + public void setFV(double[] FV) { + this.FV = FV; + } + + @Override + public double[] getFV() { + return FV; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setCPUSER(long CPUSER) { + this.CPUSER = CPUSER; + } + + @Override + public long getCPUSER() { + return CPUSER; + } + + @Override + public void eval(double[] X, int NX, double[] FV, int IFLAG, + int[] IUSER, double[] RUSER, long CPUSER) { + + for (int i = 0; i < NX; i++) { + FV[i] = 0.0; + } + + for (int i = 0; i < NX; i++) { + if (X[i] == 1.0) { + /* An undefined result will be generated. */ + /* Set iflag to force an immediate exit */ + IFLAG = -1; + /* Store chosen value of iflag in iuser */ + IUSER[0] = IFLAG; + } + } + if (IFLAG != -1) { + for (int j = 0; j < NX; j++) { + FV[j] = X[j] * Math.sin(30.0 * X[j])/ + Math.sqrt(1.0 - Math.pow(X[j],2)/RUSER[0]); + } + } + return; + + } + + } + +} diff --git a/simple_examples/source/int32/D01RKJE.java b/simple_examples/source/int32/D01RKJE.java new file mode 100644 index 0000000..20c0501 --- /dev/null +++ b/simple_examples/source/int32/D01RKJE.java @@ -0,0 +1,173 @@ +import com.nag.routines.D01.D01RK; +import com.nag.routines.X01.X01AA; +import java.util.Arrays; + +/** + * D01RK example program text. + * @author Mo + */ +public class D01RKJE { + + public static void main(String[] args) { + + double pi = 0.0; + double a, b, epsabs, epsrel; + double result = Double.NaN; + double abserr = Double.NaN; + double[] rinfo, ruser; + int [] iinfo, iuser; + int ifail, key, liinfo, lrinfo, maxsub; + long cpuser; // c_ptr + F f = new F(); + + /* Header */ + System.out.println(" D01RKJ Example Program Results"); + + key = 6; + X01AA x01aa = new X01AA(pi); + pi = x01aa.eval(); + a = 0.0; + b = 2.0*pi; + epsabs = 0.0; + epsrel = 0.0001; + maxsub = 20; + lrinfo = 4*maxsub; + liinfo = Math.max(maxsub,4); + + rinfo = new double[lrinfo]; + iinfo = new int[liinfo]; + iuser = new int[0]; + ruser = new double[0]; + + iuser = new int[] {0}; + ruser = new double[] {4.0*Math.pow(pi,2)}; + cpuser = 0L; + + D01RK d01rk = new D01RK(); + ifail = -1; + d01rk.eval(f, a, b, key, epsabs, epsrel, maxsub, result, abserr, + rinfo, iinfo, iuser, ruser, cpuser, ifail); + result = d01rk.getRESULT(); + abserr = d01rk.getABSERR(); + ifail = d01rk.getIFAIL(); + + if (ifail >= 0) { + System.out.println(); + System.out.printf(" A - lower limit of integration = %9.4f\n",a); + System.out.printf(" B - upper limit of integration = %9.4f\n",b); + System.out.printf(" KEY - choice of Gaussian rule = %4d\n",key); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); + System.out.println(); + if (ifail <= 5) { + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); + System.out.println(); + } + else if (ifail == -1) { + /* User requested exit */ + System.out.printf(" Exit requested from F \n"); + System.out.println(); + } + + } + + } + + public static class F implements D01RK.D01RK_F { + + private int NX, IFLAG; + private double[] X, FV, RUSER; + private int[] IUSER; + private long CPUSER; + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setNX(int NX) { + this.NX = NX; + } + + @Override + public int getNX() { + return NX; + } + + @Override + public void setFV(double[] FV) { + this.FV = FV; + } + + @Override + public double[] getFV() { + return FV; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setCPUSER(long CPUSER) { + this.CPUSER = CPUSER; + } + + @Override + public long getCPUSER() { + return CPUSER; + } + + @Override + public void eval(double[] X, int NX, double[] FV, int IFLAG, + int[] IUSER, double[] RUSER, long CPUSER) { + + for (int i = 0; i < NX; i++) { + FV[i] = 0.0; + } + + for (int j = 0; j < NX; j++) { + FV[j] = X[j] * Math.sin(30.0 * X[j]) * Math.cos(X[j]); + } + return; + + } + + } + +} diff --git a/simple_examples/source/int32/D01RLJE.java b/simple_examples/source/int32/D01RLJE.java new file mode 100644 index 0000000..c8a6d0e --- /dev/null +++ b/simple_examples/source/int32/D01RLJE.java @@ -0,0 +1,196 @@ +import com.nag.routines.D01.D01RL; +import java.util.Arrays; + +/** + * D01RL example program text. + * @author Mo + */ +public class D01RLJE { + + public static void main(String[] args) { + + double a, b, epsabs, epsrel; + double result = Double.NaN; + double abserr = Double.NaN; + double[] points, rinfo, ruser; + int [] iinfo, iuser; + int ifail, liinfo, lrinfo, maxsub, npts; + long cpuser; // c_ptr + F f = new F(); + + /* Header */ + System.out.println(" D01RLJ Example Program Results"); + + epsabs = 0.0; + epsrel = 0.0001; + a = 0.0; + b = 1.0; + npts = 1; + maxsub = 20; + liinfo = 2*Math.max(maxsub,npts) + npts + 4; + lrinfo = 4*Math.max(maxsub,npts) + npts + 6; + + points = new double[npts]; + rinfo = new double[lrinfo]; + iinfo = new int[liinfo]; + iuser = new int[0]; + ruser = new double[21]; + + points[0] = 1.0/7.0; + iuser = new int[] {0}; + ruser = new double[] {0.0}; + cpuser = 0L; + + D01RL d01rl = new D01RL(); + ifail = -1; + d01rl.eval(f, a, b, npts, points, epsabs, epsrel, maxsub, result, abserr, + rinfo, iinfo, iuser, ruser, cpuser, ifail); + points = d01rl.getPOINTS(); + result = d01rl.getRESULT(); + abserr = d01rl.getABSERR(); + ifail = d01rl.getIFAIL(); + + if (ifail >= 0) { + System.out.println(); + System.out.printf(" A - lower limit of integration = %9.4f\n",a); + System.out.printf(" B - upper limit of integration = %9.4f\n",b); + System.out.printf(" POINT(1) - given break-point = %9.4f\n",points[0]); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); + System.out.println(); + if (ifail <= 5) { + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); + System.out.println(); + } + else if (ifail == -1) { + /* User requested exit */ + System.out.printf(" Exit requested from F"); + System.out.println(); + } + + } + + } + + public static class F implements D01RL.D01RL_F { + + private int NX, IFLAG; + private double[] X, FV, RUSER; + private int[] IUSER; + private long CPUSER; + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setNX(int NX) { + this.NX = NX; + } + + @Override + public int getNX() { + return NX; + } + + @Override + public void setFV(double[] FV) { + this.FV = FV; + } + + @Override + public double[] getFV() { + return FV; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setCPUSER(long CPUSER) { + this.CPUSER = CPUSER; + } + + @Override + public long getCPUSER() { + return CPUSER; + } + + @Override + public void eval(double[] X, int NX, double[] FV, int IFLAG, + int[] IUSER, double[] RUSER, long CPUSER) { + + /*for (int i = 0; i < NX; i++) {*/ + /*FV[i] = 0.0;*/ + /*}*/ + + for (int i = 0; i < NX; i++) { + FV[i] = Math.abs(X[i] - 1.0/7.0); + } + + for (int i = 0; i < NX; i++) { + if (FV[i] == 0.0) { + /* A singular point will be hit. */ + /* Record offending abscissae and abort computation. */ + IFLAG = 0; + for (int k = 0; k < NX; k++) { + if (FV[k] == 0.0) { + IFLAG = IFLAG + 1; + RUSER[IFLAG-1] = X[k]; + } + } + /* Store value of iflag in iuser */ + IUSER[0] = IFLAG; + /* signal abort by setting iflag<0 */ + IFLAG = -IFLAG; + } + } + if (IFLAG == 0) { + /* Safe to evaluate. */ + for (int j = 0; j < NX; j++) { + FV[j] = 1.0/Math.sqrt(FV[j]); + } + } + return; + + } + + } + +} diff --git a/simple_examples/source/int32/D01RMJE.java b/simple_examples/source/int32/D01RMJE.java new file mode 100644 index 0000000..6e80b2b --- /dev/null +++ b/simple_examples/source/int32/D01RMJE.java @@ -0,0 +1,163 @@ +import com.nag.routines.D01.D01RM; +import java.util.Arrays; + +/** + * D01RM example program text. + * @author Mo + */ +public class D01RMJE { + + public static void main(String[] args) { + + double bound, epsabs, epsrel; + double result = Double.NaN; + double abserr = Double.NaN; + double[] rinfo, ruser; + int [] iinfo, iuser; + int ifail, inf, liinfo, lrinfo, maxsub; + long cpuser; // c_ptr + F f = new F(); + + /* Header */ + System.out.println(" D01RMJ Example Program Results"); + + bound = 0.0; + inf = 1; + epsabs = 0.0; + epsrel = 0.0001; + maxsub = 20; + lrinfo = 4*maxsub; + liinfo = Math.max(maxsub,4); + + rinfo = new double[lrinfo]; + iinfo = new int[liinfo]; + iuser = new int[0]; + ruser = new double[0]; + + iuser = new int[] {0}; + ruser = new double[] {0.0}; + cpuser = 0L; + + D01RM d01rm = new D01RM(); + ifail = -1; + d01rm.eval(f, bound, inf, epsabs, epsrel, maxsub, result, abserr, + rinfo, iinfo, iuser, ruser, cpuser, ifail); + result = d01rm.getRESULT(); + abserr = d01rm.getABSERR(); + ifail = d01rm.getIFAIL(); + + if (ifail >= 0) { + System.out.println(); + System.out.printf(" A - lower limit of integration = %9.4f\n",bound); + System.out.println(" B - upper limit of integration = infinity\n"); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); + System.out.println(); + if (ifail <= 5) { + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); + System.out.println(); + } + else if (ifail == -1) { + /* User requested exit */ + System.out.printf(" Exit requested from F \n"); + System.out.println(); + } + + } + + } + + public static class F implements D01RM.D01RM_F { + + private int NX, IFLAG; + private double[] X, FV, RUSER; + private int[] IUSER; + private long CPUSER; + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setNX(int NX) { + this.NX = NX; + } + + @Override + public int getNX() { + return NX; + } + + @Override + public void setFV(double[] FV) { + this.FV = FV; + } + + @Override + public double[] getFV() { + return FV; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setCPUSER(long CPUSER) { + this.CPUSER = CPUSER; + } + + @Override + public long getCPUSER() { + return CPUSER; + } + + @Override + public void eval(double[] X, int NX, double[] FV, int IFLAG, + int[] IUSER, double[] RUSER, long CPUSER) { + + for (int j = 0; j < NX; j++) { + FV[j] = 1.0/((X[j] + 1.0) * Math.sqrt(X[j])); + } + return; + + } + + } + +} diff --git a/simple_examples/source/int32/D01TCJE.java b/simple_examples/source/int32/D01TCJE.java new file mode 100644 index 0000000..cde8428 --- /dev/null +++ b/simple_examples/source/int32/D01TCJE.java @@ -0,0 +1,45 @@ +import com.nag.routines.D01.D01TC; +import java.util.Arrays; + +/** + * D01TC example program text. + * @author Mo + */ +public class D01TCJE { + + public static void main(String[] args) { + + double a, b, c, d; + double[] abscis, weight; + int n, ifail, itype; + + /* Header */ + System.out.println(" D01TCJ Example Program Results"); + + n = 7; + a = 0.0; + b = 1.0; + c = 0.0; + d = 0.0; + itype = -3; + + abscis = new double[n]; + weight = new double[n]; + + D01TC d01tc = new D01TC(); + ifail = 0; + d01tc.eval(itype, a, b, c, d, n, weight, abscis, ifail); + abscis= d01tc.getABSCIS(); + weight = d01tc.getWEIGHT(); + + System.out.println(); + System.out.printf(" Laguerre formula, %2d points\n",n); + System.out.println(); + System.out.println(" Abscissae Weights\n"); + for (int j = 0; j < n; j++) { + System.out.printf("%15.5E %15.5E\n", abscis[j], weight[j]); + } + + } + +} diff --git a/simple_examples/source/int32/D02NEJE.java b/simple_examples/source/int32/D02NEJE.java new file mode 100644 index 0000000..34a5b25 --- /dev/null +++ b/simple_examples/source/int32/D02NEJE.java @@ -0,0 +1,388 @@ +import com.nag.routines.D02.D02MC; +import com.nag.routines.D02.D02MW; +import com.nag.routines.D02.D02NE; +import com.nag.routines.D02.D02NEZ; +import com.nag.routines.D02.D02NP; +import java.util.Arrays; + +/** + * D02NE example program text. + * @author joed + */ +public class D02NEJE { + + public static final double ALPHA = 0.04; + public static final double BETA = 1.0E4; + public static final double GAMMA = 3.0E7; + public static final int ML = 1; + public static final int MU = 2; + public static final int NEQ1 = 3; + public static final int NEQ2 = 1; + + public static JAC1 jac1 = new JAC1(); + public static JAC2 jac2 = new JAC2(); + public static RES1 res1 = new RES1(); + public static RES2 res2 = new RES2(); + + public static void main(String[] args) { + + System.out.println(" D02NEJ Example Program Results"); + + ex1(); + ex2(); + + } + + private static void ex1() { + + D02MC d02mc = new D02MC(); + D02MW d02mw = new D02MW(); + D02NE d02ne = new D02NE(); + D02NP d02np = new D02NP(); + double h0, hmax, t, tout; + int ifail, ijac, itask, itol, lcom, licom, maxord, neq; + String jceval; // length 8 + double[] atol, com, rtol, y, ydot, ruser; + int[] icom, iuser; + + ruser = new double[1]; + iuser = new int[3]; + + System.out.println(); + System.out.println(" D02NEF Example 1"); + System.out.println(); + + maxord = 5; + + neq = NEQ1; + lcom = 40 + (maxord + 4) * neq + (2 * ML + MU + 1) * neq + + 2 * (neq / (ML + MU + 1) + 1); + licom = 50 + neq; + + atol = new double[neq]; + com = new double[lcom]; + rtol = new double[neq]; + y = new double[neq]; + ydot = new double[neq]; + icom = new int[licom]; + + ijac = 1; + itol = 1; + Arrays.fill(rtol, 1.0E-3); + Arrays.fill(atol, 1.0E-6); + Arrays.fill(ydot, 0.0); + + // String length = 8 + jceval = (ijac == 1) ? "Analytic" : "Numeric "; + + // Set initial values + y[0] = 1.0; + y[1] = 0.0; + y[2] = 0.0; + + // Initialize the problem, specifying that the Jacobian is to be + // evaluated analytically using the provided routine jac. + hmax = 0.0; + h0 = 0.0; + t = 0.0; + tout = 0.02; + ifail = 0; + d02mw.eval( + neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail + ); + ifail = d02mw.getIFAIL(); + + // Specify that the Jacobian is banded. + ifail = 0; + d02np.eval(neq, ML, MU, icom, licom, ifail); + ifail = d02np.getIFAIL(); + + // Use the iuser array to pass the band dimensions through to jac. + // An alternative would be to hard code values for ml and mu in jac. + iuser[0] = ML; + iuser[1] = MU; + iuser[2] = ijac; + + System.out.printf(" t "); + for (int i = 1; i <= neq; i++) { + System.out.printf(" Y(%1d) ", i); + } + System.out.println(); + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + itask = 0; + + // Obtain the solution at 5 equally spaced values of T. + for (int j = 0; j < 5; j++) { + ifail = -1; + d02ne.eval( + neq, t, tout, y, ydot, rtol, atol, itask, res1, jac1, icom, + com, lcom, iuser, ruser, ifail + ); + itask = d02ne.getITASK(); + ifail = d02ne.getIFAIL(); + t = d02ne.getT(); + + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + if (ifail != 0) { + System.out.printf( + " ** D02NEF returned with IFAIL = %5d\n", ifail + ); + break; + } + + tout += 0.02; + d02mc.eval(icom); + + } + + System.out.println(); + System.out.printf( + " The integrator completed task, ITASK = %4d\n", itask + ); + + } + + private static void ex2() { + D02MC d02mc = new D02MC(); + D02MW d02mw = new D02MW(); + D02NE d02ne = new D02NE(); + double h0, hmax, t, tout; + int ifail, ijac, itask, itol, lcom, licom, maxord, neq; + String jceval; // length 8 + double[] atol, com, rtol, y, ydot, ruser; + int[] icom, iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println(); + System.out.println(" D02NEF Example 2"); + System.out.println(); + + maxord = 5; + neq = NEQ2; + lcom = 40 + (maxord + 4) * neq + neq * neq; + licom = 50 + neq; + + atol = new double[neq]; + com = new double[lcom]; + rtol = new double[neq]; + y = new double[neq]; + ydot = new double[neq]; + icom = new int[licom]; + + ijac = 1; + itol = 1; + rtol[0] = 0.0; + atol[0] = 1.0E-8; + ydot[0] = 0.0; + + // String length = 8 + jceval = (ijac == 1) ? "Analytic" : "Numeric "; + + // Initialize the problem, specifying that the Jacobian is to be + // evaluated analytically using the provided routine jac. + y[0] = 2.0; + hmax = 0.0; + h0 = 0.0; + t = 0.0; + tout = 0.2; + + ifail = 0; + d02mw.eval( + neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail + ); + ifail = d02mw.getIFAIL(); + + // Use the iuser array to pass whether numerical or analytic Jacobian + // is to be used. + iuser[0] = ijac; + + System.out.printf(" t "); + for (int i = 1; i <= neq; i++) { + System.out.printf(" y(%1d) ", i); + } + System.out.println(); + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + itask = 0; + + for (int j = 0; j < 5; j++) { + ifail = -1; + d02ne.eval( + neq, t, tout, y, ydot, rtol, atol, itask, res2, jac2, icom, + com, lcom, iuser, ruser, ifail + ); + itask = d02ne.getITASK(); + ifail = d02ne.getIFAIL(); + t = d02ne.getT(); + + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + if (ifail != 0) { + System.out.printf( + " ** D02NEF returned with IFAIL = %5d\n", ifail + ); + break; + } + + tout += 0.2; + d02mc.eval(icom); + + } + + System.out.println(); + System.out.printf( + " The integrator completed task, ITASK = %4d\n", itask + ); + + } + + /** + * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based + * Java index. + * + *

    Fortran array definition: + * a(dimX, *) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + + public static class RES1 extends D02NE.Abstract_D02NE_RES { + + public void eval() { + + this.R[0] = -(ALPHA * this.Y[0]) + (BETA * this.Y[1] * this.Y[2]) + - this.YDOT[0]; + this.R[1] = (ALPHA * this.Y[0]) - (BETA * this.Y[1] * this.Y[2]) + - (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[1]; + this.R[2] = (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[2]; + + } + + } + + public static class JAC1 extends D02NE.Abstract_D02NE_JAC { + + private double[] myjac1( + int neq, int ml, int mu, double t, double[] y, double[] ydot, + double[] pd, double cj + ) { + + int md, ms, pdDim1; + + pdDim1 = (2 * ml) + mu + 1; + + // Main diagonal pdfull(i,i), i=1, neq + md = mu + ml + 1; + pd[getIdx(md, 1, pdDim1)] = -ALPHA - cj; + pd[getIdx(md, 2, pdDim1)] = (-BETA * y[2]) - (2.0 * GAMMA * y[1]) + - cj; + pd[getIdx(md, 3, pdDim1)] = -cj; + + // 1 subdiagonal pdfull(i-1,i), i=2, neq + ms = md + 1; + pd[getIdx(ms, 1, pdDim1)] = ALPHA; + pd[getIdx(ms, 2, pdDim1)] = 2.0 * GAMMA * y[1]; + + // First superdiagonal pdfull(i-1,i), i=2, neq + ms = md - 1; + pd[getIdx(ms, 2, pdDim1)] = BETA * y[2]; + pd[getIdx(ms, 3, pdDim1)] = -BETA * y[1]; + + // Second superdiagonal pdfull(i-2,i), i=3, neq + ms = md - 2; + pd[getIdx(ms, 3, pdDim1)] = BETA * y[1]; + + return pd; + + } + + public void eval() { + D02NEZ d02nez = new D02NEZ(); + int ijac, ml, mu; + + ml = this.IUSER[0]; + mu = this.IUSER[1]; + ijac = this.IUSER[2]; + + if (ijac == 1) { + myjac1( + this.NEQ, ml, mu, this.T, this.Y, this.YDOT, this.PD, + this.CJ + ); + } + else { + d02nez.eval( + this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, + this.IUSER, this.RUSER + ); + } + + } + + } + + public static class RES2 extends D02NE.Abstract_D02NE_RES { + + public void eval() { + this.R[0] = 4.0 - Math.pow(this.Y[0], 2.0) + + (this.T * 0.1E0 * Math.exp(this.Y[0])); + } + + } + + public static class JAC2 extends D02NE.Abstract_D02NE_JAC { + + private void myjac2( + int neq, double t, double[] y, double[] ydot, double[] pd, + double cj + ) { + + pd[0] = -(2.0 * y[0]) + (0.1E0 * t * y[0] * Math.exp(y[0])); + + } + + public void eval() { + D02NEZ d02nez = new D02NEZ(); + int ijac; + + ijac = this.IUSER[0]; + + if (ijac == 1) { + myjac2(this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ); + } + else { + d02nez.eval( + this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, + this.IUSER, this.RUSER + ); + } + + } + + } + +} diff --git a/simple_examples/source/int32/D02TLJE.java b/simple_examples/source/int32/D02TLJE.java new file mode 100644 index 0000000..601b3ce --- /dev/null +++ b/simple_examples/source/int32/D02TLJE.java @@ -0,0 +1,290 @@ +import com.nag.routines.D02.D02TL; +import com.nag.routines.D02.D02TV; +import com.nag.routines.D02.D02TX; +import com.nag.routines.D02.D02TY; +import com.nag.routines.D02.D02TZ; +import java.util.Arrays; + +/** + * D02TL example program text. + * @author joed + */ +public class D02TLJE { + + public static final int MMAX = 3, NEQ = 3, NLBC = 3, NRBC = 3; + + public static double omega, sqrofr; + public static int[] m = {1, 3, 2}; + + public static FFUN ffun = new FFUN(); + public static FJAC fjac = new FJAC(); + public static GAFUN gafun = new GAFUN(); + public static GAJAC gajac = new GAJAC(); + public static GBFUN gbfun = new GBFUN(); + public static GBJAC gbjac = new GBJAC(); + public static GUESS guess = new GUESS(); + + public static void main(String[] args) { + + D02TL d02tl = new D02TL(); + D02TV d02tv = new D02TV(); + D02TX d02tx = new D02TX(); + D02TY d02ty = new D02TY(); + D02TZ d02tz = new D02TZ(); + double dx, ermx, r; + int iermx, ifail, ijermx, licomm, lrcomm, mxmesh, ncol, ncont, + nmesh; + double[] mesh, rcomm, tol, y, ruser = new double[1]; + int[] icomm, ipmesh, iuser = new int[2]; + + System.out.println(" D02TLJ Example Program Results"); + System.out.println(); + + ncol = 7; + nmesh = 11; + mxmesh = 51; + + mesh = new double[mxmesh]; + tol = new double[NEQ]; + y = new double[NEQ * MMAX]; + ipmesh = new int[mxmesh]; + + omega = 1.0; + Arrays.fill(tol, 1.0E-4); + + dx = 1.0 / ((double) nmesh - 1); + + mesh[0] = 0.0; + for (int i = 1; i < nmesh - 1; i++) { + mesh[i] = mesh[i - 1] + dx; + } + mesh[nmesh - 1] = 1.0; + + ipmesh[0] = 1; + Arrays.fill(ipmesh, 1, nmesh - 1, 2); + ipmesh[nmesh - 1] = 1; + + // Workspace query to get size of rcomm and icomm + ifail = 0; + d02tv.eval( + NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, ruser, + 0, iuser, 2, ifail + ); + ifail = d02tv.getIFAIL(); + lrcomm = iuser[0]; + licomm = iuser[1]; + rcomm = new double[lrcomm]; + icomm = new int[licomm]; + + // Initialise integrator for given problem + ifail = 0; + d02tv.eval( + NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, rcomm, + lrcomm, icomm, licomm, ifail + ); + ifail = d02tv.getIFAIL(); + + ncont = 3; + r = 1.0E6; + + sqrofr = Math.sqrt(r); + + ermx = 0.0; + iermx = 0; + ijermx = 0; + + for (int j = 0; j < ncont; j++) { + System.out.printf("\n Tolerance = %8.1E R = %10.3E\n", tol[0], r); + + // Solve problem + ifail = -1; + d02tl.eval( + ffun, fjac, gafun, gbfun, gajac, gbjac, guess, rcomm, icomm, + iuser, ruser, ifail + ); + ifail = d02tl.getIFAIL(); + if (ifail != 0) { + System.err.println("D02TL failed with error code " + ifail); + } + + // Extract mesh + ifail = -1; + d02tz.eval( + mxmesh, nmesh, mesh, ipmesh, ermx, iermx, ijermx, rcomm, icomm, + ifail + ); + nmesh = d02tz.getNMESH(); + iermx = d02tz.getIERMX(); + ijermx = d02tz.getIJERMX(); + ermx = d02tz.getERMX(); + ifail = d02tz.getIFAIL(); + if (ifail == 1) { + break; + } + + // Print mesh, error stats + System.out.printf( + "\n" + + " Used a mesh of %4d points\n" + + " Maximum error = %10.2E in interval %4d for component %4d\n" + + "\n", + nmesh, ermx, iermx, ijermx + ); + System.out.printf("\n Mesh points:\n"); + for (int i = 0; i < nmesh; i++) { + System.out.printf("%4d(%1d)%10.3E", i+1, ipmesh[i], mesh[i]); + if ((i+1) % 4 == 0) { + System.out.printf("\n"); + } + } + System.out.printf("\n"); + + // Print solution components on mesh + System.out.printf("\n x f f\' g\n"); + for (int i = 0; i < nmesh; i++) { + ifail = 0; + d02ty.eval(mesh[i], y, NEQ, MMAX, rcomm, icomm, ifail); + ifail = d02ty.getIFAIL(); + System.out.printf( + " %8.3f %9.4f%9.4f%9.4f\n", mesh[i], y[getIdx(1, 0, NEQ)], + y[getIdx(2, 0, NEQ)], y[getIdx(3, 0, NEQ)] + ); + } + + if (j == ncont - 1) { + break; + } + + // Modify continuation parameter + r = 100.0 * r; + sqrofr = Math.sqrt(r); + + // Select mesh for continuation + Arrays.fill(ipmesh, 1, nmesh - 1, 2); + + // Call continuation primer routine + ifail = 0; + d02tx.eval(mxmesh, nmesh, mesh, ipmesh, rcomm, icomm, ifail); + mxmesh = d02tx.getMXMESH(); + nmesh = d02tx.getNMESH(); + ifail = d02tx.getIFAIL(); + + } + + } + + /** + * Converts a 2D Fortran index to the 1D index for its corresponding Java + * array. Assumes y is already zero-based. + * + *

    Fortran array definition: + * a(dimX, 0:*) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return (y * dimX) + (x-1); + } + + /** + * Converts a 3D Fortran index to the 1D index for its corresponding Java + * array. Assumes z is already zero-based. + * + *

    Fortran array definition: + * a(dimX, dimY, 0:*) + * + *

    Conversion: + * a(x, y, z) --> A[result] + */ + private static int getIdx(int x, int y, int z, int dimX, int dimY) { + return (z * dimY * dimX) + ((y-1) * dimX) + (x-1); + } + + public static class FFUN extends D02TL.Abstract_D02TL_FFUN { + + public void eval() { + F[0] = Y[getIdx(2, 0, NEQ)]; + F[1] = -((Y[getIdx(1, 0, NEQ)] * Y[getIdx(2, 2, NEQ)]) + + (Y[getIdx(3, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; + F[2] = ((Y[getIdx(2, 0, NEQ)] * Y[getIdx(3, 0, NEQ)]) + - (Y[getIdx(1, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; + } + + } + + public static class FJAC extends D02TL.Abstract_D02TL_FJAC { + + public void eval() { + DFDY[getIdx(1, 2, 0, NEQ, NEQ)] = 1.0; + DFDY[getIdx(2, 1, 0, NEQ, NEQ)] = -Y[getIdx(2, 2, NEQ)] * sqrofr; + DFDY[getIdx(2, 2, 2, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; + DFDY[getIdx(2, 3, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; + DFDY[getIdx(2, 3, 1, NEQ, NEQ)] = -Y[getIdx(3, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 1, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; + DFDY[getIdx(3, 2, 0, NEQ, NEQ)] = Y[getIdx(3, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 3, 0, NEQ, NEQ)] = Y[getIdx(2, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 3, 1, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; + } + + } + + public static class GAFUN extends D02TL.Abstract_D02TL_GAFUN { + + public void eval() { + GA[0] = YA[getIdx(1, 0, NEQ)]; + GA[1] = YA[getIdx(2, 0, NEQ)]; + GA[2] = YA[getIdx(3, 0, NEQ)] - omega; + } + + } + + public static class GBFUN extends D02TL.Abstract_D02TL_GBFUN { + + public void eval() { + GB[0] = YB[getIdx(1, 0, NEQ)]; + GB[1] = YB[getIdx(2, 0, NEQ)]; + GB[2] = YB[getIdx(3, 0, NEQ)] + omega; + } + + } + + public static class GAJAC extends D02TL.Abstract_D02TL_GAJAC { + + public void eval() { + DGADY[getIdx(1, 1, 0, NLBC, NEQ)] = 1.0; + DGADY[getIdx(2, 2, 0, NLBC, NEQ)] = 1.0; + DGADY[getIdx(3, 3, 0, NLBC, NEQ)] = 1.0; + } + + } + + public static class GBJAC extends D02TL.Abstract_D02TL_GBJAC { + + public void eval() { + DGBDY[getIdx(1, 1, 0, NRBC, NEQ)] = 1.0; + DGBDY[getIdx(2, 2, 0, NRBC, NEQ)] = 1.0; + DGBDY[getIdx(3, 3, 0, NRBC, NEQ)] = 1.0; + } + + } + + public static class GUESS extends D02TL.Abstract_D02TL_GUESS { + + public void eval() { + Y[getIdx(1, 0, NEQ)] = -(X - 0.5) * Math.pow(X * (X - 1.0), 2.0); + Y[getIdx(2, 0, NEQ)] = -X * (X - 1.0) + * (5.0 * X * (X - 1.0) + 1.0); + Y[getIdx(2, 1, NEQ)] = -(2.0 * X - 1.0) + * (10.0 * X * (X - 1.0) + 1.0); + Y[getIdx(2, 2, NEQ)] = -12.0 * (5.0 * X * (X - 1.0) + 1.0); + Y[getIdx(3, 0, NEQ)] = -8.0 * omega * Math.pow(X - 0.5, 3.0); + Y[getIdx(3, 1, NEQ)] = -24.0 * omega * Math.pow(X - 0.5, 2.0); + DYM[0] = Y[getIdx(2, 0, NEQ)]; + DYM[1] = -120.0 * (X - 0.5); + DYM[2] = -56.0 * omega * (X - 0.5); + } + + } + +} diff --git a/simple_examples/source/int32/D03PCJE.java b/simple_examples/source/int32/D03PCJE.java new file mode 100644 index 0000000..4901e2e --- /dev/null +++ b/simple_examples/source/int32/D03PCJE.java @@ -0,0 +1,217 @@ +import com.nag.routines.D03.D03PC; +import com.nag.routines.D03.D03PZ; +import com.nag.routines.X01.X01AA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.lang.StringBuilder; + +/** + * D03PCJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class D03PCJE{ + + /** + * D03PCJE main program + */ + public static void main(String[] args){ + int ifail, ind, intpts = 0, it, itask, itrace = 0, itype = 0, lisave, lrsave, m = 0, neqn, npts = 0, nwk, npde = 2; + double hx, pi, piby2, tout = 0, ts = 0, acc = 0, alpha = 0; + int[] isave, iuser, iwsav; + double[] rsave, u, uout, x, xout, ruser, rwsav; + boolean[] lwsav; + String[] cwsav; + + xout = new double[0]; // placeholders + ruser = new double[1]; + rwsav = new double[1100]; + iuser = new int[1]; + iwsav = new int[505]; + lwsav = new boolean[100]; + cwsav = new String[10]; + + System.out.println("D03PCJ Example Program Results"); + + //Specify path to data file + if(args.length != 1){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + intpts = Integer.parseInt(sVal[0]); + npts = Integer.parseInt(sVal[1]); + itype = Integer.parseInt(sVal[2]); + + xout = new double[intpts]; + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int i = 0; i < intpts; i++){ + xout[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.split("\\s+"); + acc = Double.parseDouble(sVal[0]); + alpha = Double.parseDouble(sVal[1]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + m = Integer.parseInt(sVal[0]); + itrace = Integer.parseInt(sVal[1]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + ts = Double.parseDouble(sVal[0]); + tout = Double.parseDouble(sVal[1]); + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + neqn = npde * npts; + lisave = neqn + 24; + nwk = (10 + (6 * npde)) * neqn; + lrsave = nwk + ((21 + (3 * npde)) * npde) + (7 * npts) + 54; + + rsave = new double[lrsave]; + u = new double[npde * npts]; + uout = new double[npde * intpts * itype]; + x = new double[npts]; + isave = new int[lisave]; + ruser[0] = alpha; + ind = 0; + itask = 1; + + X01AA x01aa = new X01AA(); + pi = x01aa.eval(); + piby2 = 0.5 * pi; + hx = piby2/(double)(npts - 1); + x[0] = 0.0; + x[npts - 1] = 1.0; + for(int i = 1; i < (npts - 1); i++){ + x[i] = Math.sin(hx * (double)(i)); + } + + u = uinit(x, npts, iuser, ruser); + + //Character (80) :: cwsav(10) + //Surely a better way of doing this? + for(int i = 0; i < 10; i++){ + StringBuilder builder = new StringBuilder(""); + for(int j = 0; j < 80; j++){ + builder.append(" "); + } + cwsav[i] = builder.toString(); + } + + for(int i = 0; i <5; i++){ + tout = 10 * tout; + + ifail = 0; + pdedef pdedef1 = new pdedef(); + bndary bndary1 = new bndary(); + D03PC d03pc = new D03PC(npde, m, ts, tout, pdedef1, bndary1, u, npts, x, acc, rsave, lrsave, + isave, lisave, itask, itrace, ind, iuser, ruser, cwsav, lwsav, iwsav, + rwsav, ifail); + d03pc.eval(); + + //update ind + ind = d03pc.getIND(); + + if(i == 0){ + System.out.printf("Accuracy requirement = \t%.5e\n Parameter ALPHA = \t%.3e\n", acc, alpha); + System.out.printf("T / X "); + for(int j = 0; j < xout.length; j++){ + System.out.printf("\t%.4f", xout[j]); + } + System.out.printf("\n"); + } + System.out.println(); + + //Interpolate at required spatial points + ifail = 0; + + D03PZ d03pz = new D03PZ(npde, m, u, npts, x, xout, intpts, itype, uout, ifail); + d03pz.eval(); + + System.out.printf("%.4f \tU(1)", tout); + for(int j = 0; j < intpts; j++){ + System.out.printf("\t%.4f ", uout[j * 2]); + } + System.out.printf("\n"); + System.out.printf("\tU(2)"); + for(int j = 0; j < intpts; j++){ + System.out.printf("\t%.4f ", uout[j * 2 + 1]); + } + System.out.printf("\n"); + System.out.println(); + } + + System.out.printf("Number of Integration steps in time\t\t\t%d\n", isave[0]); + System.out.printf("Number of residual evaluations of resulting ODE system\t%d\n", isave[1]); + System.out.printf("Number of Jacobian evaluations\t\t\t\t%d\n", isave[2]); + System.out.printf("Number of iterations of nonlinear solver\t\t%d\n", isave[4]); + } + + /** + * PDE initial condition + */ + public static double[] uinit(double[] x, int npts, int[] iuser, double[] ruser){ + double alpha = ruser[0]; + double[] u = new double[2 * npts]; + for(int i = 0; i < npts; i++){ + u[2 * i] = 2 * alpha * x[i]; + u[(2 * i) + 1] = 1; + } + return u; + } + + public static class pdedef extends D03PC.Abstract_D03PC_PDEDEF{ + public void eval(){ + double alpha = this.RUSER[0]; + this.Q[0] = 4 * alpha * (this.U[1] + (this.X * this.UX[1])); + this.Q[1] = 0; + this.R[0] = this.X * this.UX[0]; + this.R[1] = this.UX[1] - (this.U[0] * this.U[1]); + this.P[0] = 0; + this.P[1] = 0; + this.P[2] = 0; + this.P[3] = 1 - (this.X * this.X); + } + } + + public static class bndary extends D03PC.Abstract_D03PC_BNDARY{ + public void eval(){ + if(this.IBND == 0){ + this.BETA[0] = 0; + this.BETA[1] = 1; + this.GAMMA[0] = this.U[0]; + this.GAMMA[1] = -this.U[0] * this.U[1]; + } + else{ + this.BETA[0] = 1; + this.BETA[1] = 0; + this.GAMMA[0] = -this.U[0]; + this.GAMMA[1] = this.U[1]; + } + } + } + +} + + + diff --git a/simple_examples/source/int32/D03RAJE.java b/simple_examples/source/int32/D03RAJE.java new file mode 100644 index 0000000..88d49aa --- /dev/null +++ b/simple_examples/source/int32/D03RAJE.java @@ -0,0 +1,307 @@ +import com.nag.routines.D03.D03RA; +import com.nag.routines.D03.D03RA.D03RA_BNDARY; +import com.nag.routines.D03.D03RA.D03RA_MONITR; +import com.nag.routines.X01.X01AA; +import com.nag.routines.X02.X02AJ; +import java.util.Arrays; + +/** + * D03RA example program text. + * @author joed + */ +public class D03RAJE { + + public static final double ALPHA = 50.0; + public static final double BETA = 300.0; + public static final double XMAX = 1.0; + public static final double XMIN = 0.0; + public static final double YMAX = 1.0; + public static final double YMIN = 0.0; + public static final int ITRACE = 0; + public static final int NPDE = 1; + + public static D03RA d03ra = new D03RA(); + public static PDEDEF pdedef = new PDEDEF(); + public static BNDRY bndry = new BNDRY(); + public static PDEIV pdeiv = new PDEIV(); + public static MONIT monit = new MONIT(); + public static MONITDUMMY monitDummy = new MONITDUMMY(); + + public static void main(String[] args) { + double tols, tolt, tout, ts; + int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, npde, npts, nx, ny; + double[] dt, twant, optr, rwk; + int[] wklens, iwk, opti = new int[4]; + boolean[] lwk; + + // Run examples + System.out.println(" D03RAJ Example Program Results"); + System.out.println(); + + npts = 2000; + npde = NPDE; + + dt = new double[] {0.1e-2, 0.0, 0.0}; + twant = new double[] {0.24, 0.25}; + ts = 0.0; + + ind = 10; + nx = 41; + ny = 41; + tols = 0.5; + tolt = 0.01; + Arrays.fill(opti, 0); + opti[0] = 6; + maxlev = Math.max(opti[0], 3); + + wklens = computeWkspaceLens(maxlev, npde, npts); + lenrwk = wklens[0]; + leniwk = wklens[1]; + lenlwk = wklens[2]; + rwk = new double[lenrwk]; + iwk = new int[leniwk]; + lwk = new boolean[lenlwk]; + + optr = new double[3 * npde]; + Arrays.fill(optr, 1.0); + + for (int i = 0; i < 2; i++) { + tout = twant[i]; + ifail = 0; + if (i == 0) { + // Dummy monitor used to avoid output on first call + d03ra.eval( + npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, + tolt, pdedef, bndry, pdeiv, monitDummy, opti, optr, + rwk, lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail + ); + } + else { + d03ra.eval( + npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, + tolt, pdedef, bndry, pdeiv, monit, opti, optr, rwk, + lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail + ); + } + + ind = d03ra.getIND(); + ifail = d03ra.getIFAIL(); + ts = d03ra.getTS(); + + printStatistics(ts, iwk, maxlev); + + } + + } + + public static class PDEIV extends D03RA.Abstract_D03RA_PDEIV { + + public void eval() { + Arrays.fill(this.U, 1.0); + } + + } + + public static class PDEDEF extends D03RA.Abstract_D03RA_PDEDEF { + + private static final double ACTIV_ENERGY = 20.0; + private static final double DIFFUSION = 0.1; + private static final double HEAT_RELEASE = 1.0; + private static final double REACTION_RATE = 5.0; + + public void eval() { + + double damkohler; + + damkohler = REACTION_RATE * Math.exp(ACTIV_ENERGY) + / (HEAT_RELEASE * ACTIV_ENERGY); + + for (int col = 0; col < this.NPDE; col++) { + for (int row = 0; row < this.NPTS; row++) { + int idx = (col * this.NPTS) + row; + this.RES[idx] = this.UT[idx] + - (DIFFUSION * (this.UXX[idx] + this.UYY[idx])) + - (damkohler + * (1.0e0 + HEAT_RELEASE - this.U[idx]) + * Math.exp(-ACTIV_ENERGY / this.U[idx])); + } + } + + } + + } + + public static class BNDRY extends D03RA.Abstract_D03RA_BNDARY { + + public void eval() { + X02AJ x02aj = new X02AJ(); + double tol; + + // X02AJ returns machine precision + tol = 10.0 * x02aj.eval(); + + for (int i = 0; i < this.NBPTS; i++) { + int j = this.LBND[i] - 1; + + if (Math.abs(this.X[j]) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.UX[idx]; + } + } + else if (Math.abs(this.X[j] - 1.0) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.U[idx] - 1.0; + } + } + else if (Math.abs(this.Y[j]) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.UY[idx]; + } + } + else if (Math.abs(this.Y[j] - 1.0) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.U[idx] - 1.0; + } + } + } + + } + + } + + public static class MONIT extends D03RA.Abstract_D03RA_MONITR { + + public void eval() { + int ipsol, k, level, npts; + + if (TLAST) { + // Print solution + level = this.NLEV - 1; + npts = this.NGPTS[level]; + ipsol = this.LSOL[level]; + k = 0; + for (int i = 0; i < level; i++) { + k += this.NGPTS[i]; + } + + System.out.printf( + " Solution at every 4th grid point in level%10d" + + " at time %8.4f:%n%n", this.NLEV, this.T + ); + System.out.println( + " x y approx u\n" + ); + for (int i = 0; i < npts; i += 4) { + double ix = this.XPTS[k + i]; + double iy = this.YPTS[k + i]; + double isol = this.SOL[ipsol + i]; + System.out.printf( + " %11.4E %11.3E %11.3E%n", + ix, iy, isol + ); + } + System.out.println(); + + } + + } + + } + + public static class MONITDUMMY extends D03RA.Abstract_D03RA_MONITR { + + public void eval() { + return; + } + + } + + public static int[] computeWkspaceLens(int maxlev, int npde, int maxpts) { + int lenrwk, leniwk, lenlwk; + + lenrwk = (2 * maxpts * npde * ((5 * maxlev) + (18 * npde) + 9)) + + (2 * maxpts); + leniwk = (2 * maxpts * (14 + (5 * maxlev))) + + (7 * maxlev) + 2; + lenlwk = (2 * maxpts) + 400; + + return new int[] {lenrwk, leniwk, lenlwk}; + + } + + public static void printStatistics(double ts, int[] iwk, int maxlev) { + int[] istats = new int[4]; + + System.out.printf(" Statistics:%n"); + System.out.printf(" Time = %8.4f%n", ts); + System.out.printf( + " Total number of accepted timesteps =%5d%n", iwk[0] + ); + System.out.printf( + " Total number of rejected timesteps =%5d%n", iwk[1] + ); + System.out.printf( + "%n" + + " Total number (rounded) of%n" + + " Residual Jacobian Newton Lin sys%n" + + " evals evals iters iters%n" + + " At level %n" + ); + + for (int j = 0; j < maxlev; j++) { + if (iwk[j + 2] != 0) { + int idx = 0; + for (int i = j+2; i <= j+2+(3*maxlev); i += maxlev) { + istats[idx++] = iwk[i]; + } + istats = roundStatisics(istats); + System.out.printf("%8d", j + 1); + for (int i = 0; i < 4; i++) { + System.out.printf("%10d", istats[i]); + } + System.out.printf("%n"); + } + } + + System.out.printf( + "%n" + + " Maximum number of %n" + + " Newton iters Lin sys iters %n" + + " At level %n" + ); + + for (int j = 0; j < maxlev; j++) { + if (iwk[j+2] != 0) { + System.out.printf("%8d", j+1); + System.out.printf("%14d", iwk[j+2+(4*maxlev)]); + System.out.printf("%14d", iwk[j+2+(5*maxlev)]); + System.out.printf("%n"); + } + } + System.out.println(); + + } + + public static int[] roundStatisics(int[] istat) { + double lt; + int k; + + lt = Math.log(10.0); + for (int i = 0; i < istat.length; i++) { + // istat = 0 leads to div by 0 error, doesn't need rounding anyway + if (istat[i] != 0) { + k = (int) (Math.log((double) istat[i]) / lt); + k = (int) Math.pow(10, k); + istat[i] = k * ((istat[i] + k/2)/k); + } + } + + return istat; + + } + +} diff --git a/simple_examples/source/int32/D03RBJE.java b/simple_examples/source/int32/D03RBJE.java new file mode 100644 index 0000000..9b1b482 --- /dev/null +++ b/simple_examples/source/int32/D03RBJE.java @@ -0,0 +1,388 @@ +import com.nag.routines.D03.D03RB; +import com.nag.routines.D03.D03RZ; +import java.util.Arrays; + +/** + * D03RB example program text. + * @author joed + */ +public class D03RBJE { + + public static final int ITRACE = -1; + public static final int NPDE = 2; + public static final double[] TWANT = {0.25, 1.0}; + + public static boolean do_monitr; + public static int print_stats = 0; + + public static BNDARY bndary = new BNDARY(); + public static INIDOM inidom = new INIDOM(); + public static MONITR monitr = new MONITR(); + public static PDEDEF pdedef = new PDEDEF(); + public static PDEIV pdeiv = new PDEIV(); + + public static void main(String[] args) { + D03RB d03rb = new D03RB(); + double tols, tolt, tout, ts; + int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, mxlev, npts; + boolean[] lwk; + double[] optr, rwk, dt = new double[3]; + int[] iwk, opti = new int[4]; + + System.out.println(" D03RBJ Example Program Results"); + + npts = 3000; + mxlev = 7; + + leniwk = 10 * npts * (5 * mxlev + 14) + 2 + 7 * mxlev; + lenlwk = 20 * npts; + lenrwk = 20 * (npts * NPDE * (5 * mxlev + 9 + 18 * NPDE) + 2 * npts); + + rwk = new double[lenrwk]; + iwk = new int[leniwk]; + lwk = new boolean[lenlwk]; + optr = new double[3 * NPDE]; + + // Specify that we are starting the integration in time + // (ind = 0 normally). + ind = 10; + + ts = 0.0; + dt[0] = 0.001; + dt[1] = 1.0E-7; + dt[2] = 0.0; + tols = 0.1; + tolt = 0.05; + opti[0] = mxlev; + maxlev = opti[0]; + Arrays.fill(opti, 1, 4, 0); + Arrays.fill(optr, 1.0); + + // Call main routine + for (int iout = 1; iout <= 2; iout++) { + do_monitr = (iout == 2); + tout = TWANT[iout - 1]; + + ifail = 0; + d03rb.eval( + NPDE, ts, tout, dt, tols, tolt, inidom, pdedef, bndary, pdeiv, + monitr, opti, optr, rwk, lenrwk, iwk, leniwk, lwk, lenlwk, + ITRACE, ind, ifail + ); + ind = d03rb.getIND(); + ifail = d03rb.getIFAIL(); + ts = d03rb.getTS(); + + if (print_stats != 0) { + System.out.printf(" Statistics:\n"); + System.out.printf(" Time = %8.4f\n", ts); + System.out.printf( + " Total number of accepted timesteps =%5d\n", iwk[0] + ); + System.out.printf( + " Total number of rejected timesteps =%5d\n", iwk[1] + ); + System.out.println( + " Total number of " + + " maximum number of " + ); + System.out.println( + " Residual Jacobian Newton Newton " + ); + System.out.println( + " evals evals iters iters " + ); + System.out.println(" Level "); + + maxlev = opti[0]; + for (int j = 0; j < maxlev; j++) { + if (iwk[j+2] != 0) { + System.out.printf( + "%4d%10d%10d%10d%10d\n", + j+1, + iwk[j + 2 + 0*maxlev], + iwk[j + 2 + 1*maxlev], + iwk[j + 2 + 2*maxlev], + iwk[j + 2 + 4*maxlev] + ); + } + } + System.out.println(); + + } + + } + + } + + public static class PDEIV extends D03RB.Abstract_D03RB_PDEIV { + + public void eval(int NPTS, int NPDE, double T, double[] X, double[] Y, double[] U) { + this.setNPTS(NPTS); + this.setNPDE(NPDE); + this.setT(T); + this.setX(X); + this.setY(Y); + this.setU(U); + this.eval(); + } + + public void eval() { + double eps = 0.001, a; + + for (int i = 1; i <= this.NPTS; i++) { + a = (4.0 * (this.Y[i-1] - this.X[i-1]) - this.T) / (32.0 * eps); + if (a <= 0.0) { + this.U[getIdx(i, 1, this.NPTS)] + = 0.75 - 0.25 / (1.0 + Math.exp(a)); + this.U[getIdx(i, 2, this.NPTS)] + = 0.75 + 0.25 / (1.0 + Math.exp(a)); + } + else { + a = -a; + this.U[getIdx(i, 1, this.NPTS)] + = 0.75 - 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); + this.U[getIdx(i, 2, this.NPTS)] + = 0.75 + 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); + } + } + + } + + } + + public static class INIDOM extends D03RB.Abstract_D03RB_INIDOM { + + public void eval() { + int ifail, leniwk; + int[] icold, ilbndd, irowd, lbndd, llbndd, lrowd; + int[] iwk = new int[122]; + String[] pgrid = new String[11]; + + for (int i = 0; i < 11; i++) { + pgrid[i] = " "; + } + + icold = new int[]{ + 0,1,2,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5, + 6,7,8,9,10,0,1,2,3,4,5,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4, + 5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,0,1,2,3,4, + 5,6,7,8,0,1,2,3,4,5,6,7,8 + }; + + ilbndd = new int[]{ + 1,2,3,4,1,4,1,2,3,4,3,4,1,2,12,23,34,41,14,41,12,23,34,41,43,14, + 21,32 + }; + + irowd = new int[]{0,1,2,3,4,5,6,7,8,9,10}; + + lbndd = new int[]{ + 2,4,15,26,37,46,57,68,79,88,98,99,100,101,102,103,104,96,86,85, + 84,83,82,70,59,48,39,28,17,6,8,9,10,11,12,13,18,29,40,49,60,72, + 73,74,75,76,77,67,56,45,36,25,33,32,42,52,53,43,1,97,105,87,81, + 3,7,71,78,14,31,51,54,34 + }; + + llbndd = new int[]{ + 1,2,11,18,19,24,31,37,42,48,53,55,56,58,59,60,61,62,63,64,65,66, + 67,68,69,70,71,72 + }; + + lrowd = new int[]{1,4,15,26,37,46,57,68,79,88,97}; + + this.NX = 11; + this.NY = 11; + + // Check MAXPTS against rough estimate of NPTS. + this.NPTS = this.NX * this.NY; + if (this.MAXPTS < this.NPTS) { + this.IERR = -1; + return; + } + + this.XMIN = 0.0; + this.YMIN = 0.0; + this.XMAX = 1.0; + this.YMAX = 1.0; + + this.NROWS = 11; + this.NPTS = 105; + this.NBNDS = 28; + this.NBPTS = 72; + + for (int i = 0; i < this.NROWS; i++) { + this.LROW[i] = lrowd[i]; + this.IROW[i] = irowd[i]; + } + + for (int i = 0; i < this.NBNDS; i++) { + this.LLBND[i] = llbndd[i]; + this.ILBND[i] = ilbndd[i]; + } + + for (int i = 0; i < this.NBPTS; i++) { + this.LBND[i] = lbndd[i]; + } + + for (int i = 0; i < this.NPTS; i++) { + this.ICOL[i] = icold[i]; + } + + } + + } + + public static class PDEDEF extends D03RB.Abstract_D03RB_PDEDEF { + + public void eval() { + + double eps = 1E-3; + int n = this.NPTS; // For concise getIdx calls + + for (int i = 1; i <= n; i++) { + this.RES[getIdx(i, 1, n)] + = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 1, n)] + - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 1, n)] + + eps * (this.UXX[getIdx(i, 1, n)] + + this.UYY[getIdx(i, 1, n)]); + this.RES[getIdx(i, 2, n)] + = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 2, n)] + - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 2, n)] + + eps * (this.UXX[getIdx(i, 2, n)] + + this.UYY[getIdx(i, 2, n)]); + this.RES[getIdx(i, 1, n)] + = this.UT[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; + this.RES[getIdx(i, 2, n)] + = this.UT[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; + } + + } + + } + + public static class BNDARY extends D03RB.Abstract_D03RB_BNDARY { + + public void eval() { + + double a, eps = 1E-3; + int i, n = this.NPTS; + + for (int k = this.LLBND[0]; k <= this.NBPTS; k++) { + i = this.LBND[k - 1]; + a = (-4.0 * this.X[i - 1] + 4.0 * this.Y[i - 1] - this.T) + / (32.0 * eps); + + if (a <= 0.0) { + this.RES[getIdx(i, 1, n)] + = 0.75 - 0.25 / (1.0 + Math.exp(a)); + this.RES[getIdx(i, 2, n)] + = 0.75 + 0.25 / (1.0 + Math.exp(a)); + } + else { + a = -a; + this.RES[getIdx(i, 1, n)] + = 0.75 - (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); + this.RES[getIdx(i, 2, n)] + = 0.75 + (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); + } + + this.RES[getIdx(i, 1, n)] + = this.U[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; + this.RES[getIdx(i, 2, n)] + = this.U[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; + + } + + } + + } + + public static class MONITR extends D03RB.Abstract_D03RB_MONITR { + + public void eval() { + + D03RZ d03rz = new D03RZ(); + double aprxU, exctU, aprxV, exctV; + int maxpts = 6000; + int ifail, ipsol, npts; + double[] uex = new double[105*2], x = new double[maxpts], + y = new double[maxpts]; + + for (int level = 0; level < this.NLEV; level++) { + + if (!this.TLAST) { + break; + } + + ipsol = this.LSOL[level]; + + // Get grid information + ifail = -1; + npts = 0; + d03rz.eval( + level + 1, this.NLEV, this.XMIN, this.YMIN, this.DXB, + this.DYB, this.LGRID, this.ISTRUC, npts, x, y, maxpts, + ifail + ); + ifail = d03rz.getIFAIL(); + npts = d03rz.getNPTS(); + + if (ifail != 0) { + this.IERR = 1; + break; + } + + // Skip printing? + if (!do_monitr || (level != 0)) { + continue; + } + + // Get exact solution + pdeiv.eval(npts, this.NPDE, this.T, x, y, uex); + + System.out.println(); + System.out.printf( + " Solution at every 2nd grid point in level %d at" + + " time %8.4f:\n\n", level + 1, this.T + ); + System.out.print( + " x y approx u exact u approx v" + + " exact v\n\n" + ); + + ipsol = this.LSOL[level]; + + for (int i = 0; i < npts; i += 2) { + aprxU = this.SOL[ipsol + i]; + exctU = uex[getIdx(i+1, 1, npts)]; + aprxV = this.SOL[ipsol + npts + i]; + exctV = uex[getIdx(i+1, 2, npts)]; + System.out.printf( + " %9.2f %9.2f %9.2f %9.2f %9.2f %9.2f\n", + x[i], y[i], aprxU, exctU, aprxV, exctV + ); + } + System.out.println(); + + } + + } + + } + + /** + * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based + * Java index. + * + *

    Fortran array definition: + * a(dimX, *) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + +} diff --git a/simple_examples/source/int32/D05BAJE.java b/simple_examples/source/int32/D05BAJE.java new file mode 100644 index 0000000..7a8caf7 --- /dev/null +++ b/simple_examples/source/int32/D05BAJE.java @@ -0,0 +1,111 @@ +import com.nag.routines.D05.D05BA; +import com.nag.routines.X02.X02AJ; + +/** + * D05BAJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class D05BAJE{ + + /** + * D05BAJE main program + */ + public static void main(String[] args){ + double alim, h, hi, si, thresh, tlim, tol; + int ifail, iorder, lwk, nmesh = 6; + String method; + double[] errest, yn, work; + + errest = new double[nmesh]; + yn = new double[nmesh]; + + System.out.println("D05BAJ Example Program Results"); + + method = "A"; + iorder = 6; + alim = 0; + tlim = 20; + h = (tlim - alim) / (double) nmesh; + tol = 0.001; + X02AJ x02aj = new X02AJ(); + thresh = x02aj.eval(); + lwk = 10 * nmesh + 6; + work = new double[lwk]; + + //Loop until the supplied workspace is big enough + //breakflag used to exit loop + boolean breakflag = false; + while(true){ + ifail = 1; + + ck ck1 = new ck(); + cf cf1 = new cf(); + cg cg1 = new cg(); + + D05BA d05ba = new D05BA(ck1, cg1, cf1, method, iorder, alim, tlim, yn, errest, nmesh, + tol, thresh, work, lwk, ifail); + d05ba.eval(); + + //update + ifail = d05ba.getIFAIL(); + lwk = d05ba.getLWK(); + work = d05ba.getWORK(); + + switch(ifail){ + case 5: + lwk = (int) work[0]; + work = new double[lwk]; + break; + case 6: + lwk = (int) work[0]; + work = new double[lwk]; + break; + default: + breakflag = true; + } + + if(breakflag == true){ + break; + } + } + + if(ifail != 0){ + System.out.printf("D05BAJ exited with IFAIL = %d\n", ifail); + } + + System.out.println(); + System.out.printf("Size of workplace = %d\n", lwk); + System.out.printf("Tolerance = %.4e\n", tol); + System.out.println(); + System.out.print("T\tApprox. Sol.\tTrue Sol.\tEst. Error\tActual Error\n"); + for(int i = 0; i < nmesh; i++){ + hi = (double) (i + 1) * h; + si = sol(hi); + System.out.printf("%.2f\t%.5f\t\t%.5f\t\t%.5e\t%.5e\n", (alim + hi), yn[i], si, errest[i], Math.abs((yn[i] - si) / si)); + } + } + + private static double sol(double t){ + return Math.log(t + Math.exp(1)); + } + + public static class ck extends D05BA.Abstract_D05BA_CK{ + public double eval(){ + return Math.exp(-this.T); + } + } + + public static class cf extends D05BA.Abstract_D05BA_CF{ + public double eval(){ + return Math.exp(-this.T); + } + } + + public static class cg extends D05BA.Abstract_D05BA_CG{ + public double eval(){ + return (this.Y + Math.exp(-this.Y)); + } + } +} + diff --git a/simple_examples/source/int32/D05BEJE.java b/simple_examples/source/int32/D05BEJE.java new file mode 100644 index 0000000..f98bea3 --- /dev/null +++ b/simple_examples/source/int32/D05BEJE.java @@ -0,0 +1,185 @@ +import com.nag.routines.D05.D05BE; +import com.nag.routines.X01.X01AA; +import com.nag.routines.X02.X02AJ; + +/** + * D05BEJ example program text. + * @author willa + */ +public class D05BEJE{ + + private static final int iorder = 4; + private static final int nmesh = (int)(Math.pow(2, 6) + (2 * iorder) - 1); + private static final int nout = 6; + private static final int lct = nmesh / 32 + 1; + private static final int lwk = ((2 * iorder) + 6) * nmesh + (8 * iorder * iorder) - (16 * iorder) + 1; + + public static void main(String[] args){ + double err, errmax, h, hi1, soln = 0, t = 0, tlim, tolnl; + int ifail; + double[] work, yn; + int[] nct; + + work = new double[lwk]; + yn = new double[nmesh]; + nct = new int[lct]; + + System.out.println("D05BEJ Example Program Results"); + + X02AJ x02aj = new X02AJ(); + tlim = 7; + tolnl = Math.sqrt(x02aj.eval()); + h = tlim /(double) (nmesh - 1); + yn[0] = 0; + + ifail = 0; + + D05BE d05be = new D05BE(); + ck1 k1 = new ck1(); + cf1 f1 = new cf1(); + cg1 g1 = new cg1(); + d05be.eval(k1, f1, g1, "Initial", iorder, tlim, tolnl, nmesh, yn, work, lwk, nct, ifail); + + //UPDATE + yn = d05be.getYN(); + + System.out.println(); + System.out.println("Example 1"); + System.out.println(); + System.out.printf("The stepsize h = %.4f\n", h); + System.out.println(); + System.out.println("\tT\tApproximate"); + System.out.println("\t\tSolution"); + System.out.println(); + + errmax = 0; + + for(int i = 1; i < nmesh; i++){ + hi1 = (double) i * h; + err = Math.abs(yn[i] - sol1(hi1)); + + if(err > errmax){ + errmax = err; + t = hi1; + soln = yn[i]; + } + + if((i > 4) && (i % 5 == 0)){ + System.out.printf("\t%.4f\t%.4f\n", hi1, yn[i]); + } + } + + System.out.println(); + System.out.printf("The maximum absolute error, %.2e, occured at T = %.4f with solution %.4f\n", errmax, t, soln); + System.out.println(); + + tlim = 5; + h = tlim /(double) (nmesh - 1); + yn[0] = 1; + + ifail = 0; + + ck2 k2 = new ck2(); + cf2 f2 = new cf2(); + cg2 g2 = new cg2(); + d05be.eval(k2, f2, g2, "Subsequent", iorder, tlim, tolnl, nmesh, yn, work, lwk, nct, ifail); + + //UPDATE + yn = d05be.getYN(); + + System.out.println(); + System.out.println("Example 2"); + System.out.println(); + System.out.printf("The stepsize h = %.4f\n", h); + System.out.println(); + System.out.println("\tT\tApproximate"); + System.out.println("\t\tSolution"); + System.out.println(); + + errmax = 0; + + for(int i = 0; i < nmesh; i++){ + hi1 = (double) i * h; + err = Math.abs(yn[i] - sol2(hi1)); + if(err > errmax){ + errmax = err; + t = hi1; + soln = yn[i]; + } + + if((i > 6) && (i % 7 == 0)){ + System.out.printf("\t%.4f\t%.4f\n", hi1, yn[i]); + } + } + + System.out.println(); + System.out.printf("The maximum absolute error, %.2e, occured at T = %.4f with solution %.4f\n", errmax, t, soln); + } + + private static double sol1(double t){ + double c, pi, t1, x = 0; + + //x is dummy variable + X01AA x01aa = new X01AA(x); + pi = x01aa.eval(); + + t1 = 1 + t; + c = 1 / Math.sqrt(2 * pi); + + return (c * (1 / Math.pow(t, 1.5)) * Math.exp((-t1 * t1) / (2 * t))); + } + + private static double sol2(double t){ + return (1 / (1 + t)); + } + + private static class ck1 extends D05BE.Abstract_D05BE_CK{ + public double eval(){ + return (Math.exp(-0.5 * this.T)); + } + } + + private static class ck2 extends D05BE.Abstract_D05BE_CK{ + double pi, x = 0; + + public double eval(){ + X01AA x01aa = new X01AA(x); + pi = x01aa.eval(); + return Math.sqrt(pi); + } + } + + private static class cf1 extends D05BE.Abstract_D05BE_CF{ + double a, pi, t1, x = 0; + + public double eval(){ + X01AA x01aa = new X01AA(x); + pi = x01aa.eval(); + + t1 = 1 + this.T; + a = 1 / Math.sqrt(pi * this.T); + return (-a * Math.exp((-0.5 * t1 * t1) / this.T)); + } + } + + private static class cf2 extends D05BE.Abstract_D05BE_CF{ + double st1; + + public double eval(){ + st1 = Math.sqrt(1 + this.T); + return ((-2 * Math.log(st1 + Math.sqrt(this.T))) / st1); + } + } + + private static class cg1 extends D05BE.Abstract_D05BE_CG{ + public double eval(){ + return this.Y; + } + } + + private static class cg2 extends D05BE.Abstract_D05BE_CG{ + public double eval(){ + return this.Y; + } + } +} diff --git a/simple_examples/source/int32/DTFSMJE.java b/simple_examples/source/int32/DTFSMJE.java new file mode 100644 index 0000000..a88b114 --- /dev/null +++ b/simple_examples/source/int32/DTFSMJE.java @@ -0,0 +1,54 @@ +import com.nag.routines.F01.DTRTTF; +import com.nag.routines.F06.DTFSM; +import com.nag.routines.X04.X04CA; + +/** + * DTFSM example program text. Adapted from f06wbfe.f90 + * @author joed + */ +public class DTFSMJE { + + public static void main(String[] args) { + + double alpha = 4.21; + int ifail = 0, info = 0, m = 6, n = 4; + String side = "L", trans = "N", transr = "N", uplo = "L"; + DTFSM dtfsm = new DTFSM(); + DTRTTF dtrttf = new DTRTTF(); + X04CA x04ca = new X04CA(); + + System.out.println(" DTFSMJ Example Program Results\n"); + + // Set lower triangle of matrix A + double[] a = new double[m*m]; + for (int i = 0; i < m; i++) { + for (int j = 0; j < m; j++) { + a[i*m+j] = (j >= i) ? j+1 : 0; + } + } + + // Set matrix B + double[] b = new double[] { + 3.22, 1.64, 1.87, 5.20, 1.83, -1.10, + 1.37, 1.80, 2.87, -2.99, -2.71, -0.63, + 2.31, 0.38, 2.02, -0.91, -2.81, -0.50, + 0.29, -1.52, -0.80, -3.87, -1.13, 0.81 + }; + + // Convert A to rectangular full packed storage in ar + double[] ar = new double[(m*(m+1))/2]; + info = 0; + dtrttf.eval(transr, uplo, m, a, m, ar, info); + info = dtrttf.getINFO(); + + // Perform the matrix-matrix operation + dtfsm.eval(transr, side, uplo, trans, "N", m, n, alpha, ar, b, m); + + // Print result + ifail = 0; + x04ca.eval("General", " ", m, n, b, m, "The Solution", ifail); + ifail = x04ca.getIFAIL(); + + } + +} diff --git a/simple_examples/source/int32/E01DAJE.java b/simple_examples/source/int32/E01DAJE.java new file mode 100644 index 0000000..10c008f --- /dev/null +++ b/simple_examples/source/int32/E01DAJE.java @@ -0,0 +1,182 @@ +import com.nag.routines.E01.E01DA; +import com.nag.routines.E02.E02DF; + +/** + * E01DA example program text. + */ +public class E01DAJE { + + public static void main(String[] args) { + + int mx = 7, my = 6, ifail = -1; + double[] x = new double[mx]; + double[] y = new double[my]; + double[] f = new double[mx*my]; + double[] lamda = new double[mx+4]; + double[] mu = new double[my+4]; + double[] c = new double[mx*my]; + double[] wrk = new double[(mx+6)*(my+6)]; + + int nx = 6, ny = 6, px = 0, py = 0; + double xlo = 1.0, xhi = 2.0; + double ylo = 0.0, yhi = 1.0; + + E01DA e01da = new E01DA(); + + // Input X, Y and function values on X-Y grid + x[0] = 1.00; + x[1] = 1.10; + x[2] = 1.30; + x[3] = 1.50; + x[4] = 1.60; + x[5] = 1.80; + x[6] = 2.00; + + y[0] = 0.00; + y[1] = 0.10; + y[2] = 0.40; + y[3] = 0.70; + y[4] = 0.90; + y[5] = 1.00; + + // On entry: F[my*(q-1)+r-1] must contain f(q,r), for q=1,2,...,mx + // and r=1,2,...,my. + f[0] = 1.00; + f[1] = 1.10; + f[2] = 1.40; + f[3] = 1.70; + f[4] = 1.90; + f[5] = 2.00; + f[6] = 1.21; + f[7] = 1.31; + f[8] = 1.61; + f[9] = 1.91; + f[10] = 2.11; + f[11] = 2.21; + f[12] = 1.69; + f[13] = 1.79; + f[14] = 2.09; + f[15] = 2.39; + f[16] = 2.59; + f[17] = 2.69; + f[18] = 2.25; + f[19] = 2.35; + f[20] = 2.65; + f[21] = 2.95; + f[22] = 3.15; + f[23] = 3.25; + f[24] = 2.56; + f[25] = 2.66; + f[26] = 2.96; + f[27] = 3.26; + f[28] = 3.46; + f[29] = 3.56; + f[30] = 3.24; + f[31] = 3.34; + f[32] = 3.64; + f[33] = 3.94; + f[34] = 4.14; + f[35] = 4.24; + f[36] = 4.00; + f[37] = 4.10; + f[38] = 4.40; + f[39] = 4.70; + f[40] = 4.90; + f[41] = 5.00; + + System.out.printf(" E01DAJ Example Program Results\n\n"); + e01da.eval(mx, my, x, y, f, px, py, lamda, mu, c, wrk, ifail); + + ifail = e01da.getIFAIL(); + switch (ifail) { + case 0: + System.out.printf(" I Knot LAMDA(I) J Knot MU(j)\n"); + for (int i = 3; i <= Math.max(mx,my); ++i) { + if (i <= mx) { + System.out.printf("%4d %9.4f", i+1, lamda[i]); + } + else { + System.out.printf(" "); + } + if (i <= my) { + System.out.printf("%8d %9.4f\n", i+1, mu[i]); + } + else { + System.out.printf("\n"); + } + } + System.out.printf("\n The B-Spline coefficients:\n"); + for (int i = 0; i < mx*my; ++i) { + System.out.printf("%9.4f", c[i]); + if ((i+1)%8 == 0) { + System.out.printf("\n"); + } + } + System.out.printf("\n"); + break; + default: + System.out.printf("\n Error detected by E01DA: %d\n", ifail); + } + + /* Evaluate the spline on a regular rectangular grid at nx*ny points + over the domain [xlo,xhi] x [ylo,yhi]. */ + px = e01da.getPX(); + py = e01da.getPY(); + int liwrk; + int lwrk = Math.min(4*nx+px, 4*ny+py); + if (4*nx+px > 4*ny+py) { + liwrk = ny + py - 4; + } + else { + liwrk = nx + px - 4; + } + double[] tx = new double[nx]; + double[] ty = new double[ny]; + double[] ff = new double[nx*ny]; + wrk = new double[lwrk]; + int[] iwrk = new int[liwrk]; + + /* Generate nx/ny equispaced x/y co-ordinates */ + double step = (xhi-xlo)/(nx-1); + tx[0] = xlo; + for (int i = 1; i < nx-1; i++) { + tx[i] = tx[i-1] + step; + } + tx[nx-1] = xhi; + + step = (yhi-ylo)/(ny-1); + ty[0] = ylo; + for (int i = 1; i < ny-1; i++) { + ty[i] = ty[i-1] + step; + } + ty[ny-1] = yhi; + + /* Evaluate the spline. */ + E02DF e02df = new E02DF(); + ifail = 0; + e02df.eval(nx,ny,px,py,tx,ty,lamda,mu,c,ff,wrk,lwrk,iwrk,liwrk,ifail); + + ifail = e02df.getIFAIL(); + switch (ifail) { + case 0: + System.out.printf("\n Spline evaluated on a regular mesh (X across, Y down):\n"); + System.out.printf(" "); + for (int i = 0; i < nx; ++i) { + System.out.printf(" %5.2f ", tx[i]); + } + System.out.printf("\n"); + for (int i = 0; i < ny; ++i) { + System.out.printf(" %5.2f ", ty[i]); + for (int j = 0; j < nx; ++j) { + System.out.printf(" %8.3f", ff[ny*j+i]); + } + System.out.printf("\n"); + } + break; + default: + System.out.printf("\n Error detected by E02DF: %d\n", ifail); + } + + } + +} diff --git a/simple_examples/source/int32/E02ALJE.java b/simple_examples/source/int32/E02ALJE.java new file mode 100644 index 0000000..372f125 --- /dev/null +++ b/simple_examples/source/int32/E02ALJE.java @@ -0,0 +1,101 @@ +import com.nag.routines.E02.E02AL; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * E02ALJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class E02ALJE{ + + /** + * E02ALJ Example main program + */ + public static void main(String[] args){ + double dxx, ref = 0, s, t, xx; + int ifail, n = 0, m = 0, neval = 0; //placeholders + double[] a, x, y; + + a = new double[0]; + x = new double[0]; + y = new double[0]; //placeholders + + System.out.println("E02ALJ Example Program Results"); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[1]); + m = Integer.parseInt(sVal[2]); + neval = Integer.parseInt(sVal[3]); + + a = new double[m + 1]; + x = new double[n]; + y = new double[n]; + + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + x[i] = Double.parseDouble(sVal[1]); + y[i] = Double.parseDouble(sVal[2]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + System.exit(-2); + } + + ifail = 0; + E02AL e02al = new E02AL(n, x, y, m, a, ref, ifail); + e02al.eval(); + + //update + ref = e02al.getREF(); + x = e02al.getX(); + y = e02al.getY(); + + + System.out.println(); + System.out.printf(" Polynomial coefficients\n"); + for(int i = 0; i <= m; i++){ + System.out.printf("\t%.4e\n", a[i]); + } + System.out.println(); + System.out.printf(" Reference deviation = %.2e\n", ref); + System.out.println(); + System.out.printf("\tX\tFit\texp(x)\tResidual\n"); + + dxx = 1/(double)(neval - 1); + + for(int j = 0; j < neval; j++){ + xx = (double) j * dxx; + + s = a[m]; + + for(int i = m - 1; i >=0; i--){ + s = s * xx + a[i]; + } + + t = Math.exp(xx); + System.out.printf("\t%.2f\t%.4f\t%.4f\t%.2e\n", xx, s, t, (s - t)); + } + } +} + diff --git a/simple_examples/source/int32/E04ABJE.java b/simple_examples/source/int32/E04ABJE.java new file mode 100644 index 0000000..773f1ff --- /dev/null +++ b/simple_examples/source/int32/E04ABJE.java @@ -0,0 +1,76 @@ +import com.nag.routines.E04.E04AB; + +/** + * E04ABJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class E04ABJE{ + + /** + * E04ABJE main program + */ + public static void main(String[] args){ + double a, b, e1, e2, f = 0, x = 0; //placeholders + int ifail, maxcal; + double[] ruser; + int[] iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println("E04ABJ Example Program Results"); + + //e1 and e2 are set to zero so that E04ABA will reset them to their default values + + e1 = 0; + e2 = 0; + + //The minimum is known to lie in the range (3.5, 5.0) + + a = 3.5; + b = 5.0; + + //Allow 30 calls of FUNCT + + maxcal = 30; + + ifail = -1; + funct funct1 = new funct(); + E04AB e04ab = new E04AB(funct1, e1, e2, a, b, maxcal, x, f, iuser, ruser, ifail); + e04ab.eval(); + + //update + ifail = e04ab.getIFAIL(); + a = e04ab.getA(); + b = e04ab.getB(); + x = e04ab.getX(); + f = e04ab.getF(); + maxcal = e04ab.getMAXCAL(); + + switch(ifail){ + case 0: + System.out.println(); + System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); + System.out.printf("Its estimated position is %.8f,\n", x); + System.out.printf("where the function value is %.4f\n", f); + System.out.printf("%d function evaluations were required\n", maxcal); + break; + case 2: + System.out.println(); + System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); + System.out.printf("Its estimated position is %.8f,\n", x); + System.out.printf("where the function value is %.4f\n", f); + System.out.printf("%d function evaluations were required\n", maxcal); + break; + default: + break; + } + } + + public static class funct extends E04AB.Abstract_E04AB_FUNCT{ + public void eval(){ + FC = Math.sin(this.XC) / this.XC; + } + } +} diff --git a/simple_examples/source/int32/E04BBJE.java b/simple_examples/source/int32/E04BBJE.java new file mode 100644 index 0000000..d7032f5 --- /dev/null +++ b/simple_examples/source/int32/E04BBJE.java @@ -0,0 +1,81 @@ +import com.nag.routines.E04.E04BB; + +/** + * E04BBJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class E04BBJE{ + + /** + * E04BBJE main program + */ + public static void main(String[] args){ + double a, b, e1, e2, f = 0, g = 0, x = 0; //placeholders + int ifail, maxcal; + double[] ruser; + int[] iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println("E04BBJ Example Program Results"); + + //e1 and e2 are set to zero so that E04BBA will reset them to their default values + + e1 = 0; + e2 = 0; + + //The minimum is known to lie in the range (3.5, 5.0) + + a = 3.5; + b = 5.0; + + //Allow 30 calls of FUNCT + + maxcal = 30; + + ifail = -1; + funct funct1 = new funct(); + E04BB e04bb = new E04BB(funct1, e1, e2, a, b, maxcal, x, f, g, iuser, ruser, ifail); + e04bb.eval(); + + //update + a = e04bb.getA(); + b = e04bb.getB(); + maxcal = e04bb.getMAXCAL(); + x = e04bb.getX(); + f = e04bb.getF(); + g = e04bb.getG(); + ifail = e04bb.getIFAIL(); + + switch(ifail){ + case 0: + System.out.println(); + System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); + System.out.printf("Its estimated position is %.8f,\n", x); + System.out.printf("where the function value is %.4f\n", f); + System.out.printf("and the gradient is %.1e (machine dependent)\n", g); + System.out.printf("%d function evaluations were required\n", maxcal); + break; + case 2: + System.out.println(); + System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); + System.out.printf("Its estimated position is %.8f,\n", x); + System.out.printf("where the function value is %.4f\n", f); + System.out.printf("and the gradient is %.1e (machine dependent)\n", g); + System.out.printf("%d function evaluations were required\n", maxcal); + break; + default: + break; + } + } + + public static class funct extends E04BB.Abstract_E04BB_FUNCT{ + public void eval(){ + this.FC = Math.sin(this.XC) / this.XC; + this.GC = (Math.cos(this.XC) - this.FC)/this.XC; + } + } +} + diff --git a/simple_examples/source/int32/E04CBJE.java b/simple_examples/source/int32/E04CBJE.java new file mode 100644 index 0000000..fbde674 --- /dev/null +++ b/simple_examples/source/int32/E04CBJE.java @@ -0,0 +1,90 @@ +import com.nag.routines.E04.E04CB; +import com.nag.routines.E04.E04CBK; +import com.nag.routines.X02.X02AJ; + +/** + * E04CBJ Example Program text + * @author willa + * @since 27.1.0.0 + */ +public class E04CBJE{ + + /** + * E04CBJE main program + */ + public static void main(String[] args){ + int n = 2, ifail, maxcal; + double f = 0, tolf, tolx; //placeholders + boolean monitoring; + int[] iuser; + double[] ruser, x; + + iuser = new int[1]; + ruser = new double[1]; + x = new double[n]; + + System.out.println("E04CBJ Example Program Results"); + + //Set monitoring to true to obtain monitoring information + monitoring = false; + + x[0] = -1.0; + x[1] = 1.0; + X02AJ x02aj = new X02AJ(); + tolf = Math.sqrt(x02aj.eval()); + tolx = Math.sqrt(tolf); + maxcal = 100; + + ifail = 0; + + funct funct1 = new funct(); + if(!monitoring){ + defMonit monit = new defMonit(); + E04CB e04cb = new E04CB(n, x, f, tolf, tolx, funct1, monit, maxcal, iuser, ruser, ifail); + e04cb.eval(); + } + else{ + myMonit monit = new myMonit(); + E04CB e04cb = new E04CB(n, x, f, tolf, tolx, funct1, monit, maxcal, iuser, ruser, ifail); + e04cb.eval(); + } + + System.out.println(); + System.out.printf("The final function value is \t%.4f\n", f); + System.out.printf("at the point\t"); + for(int i = 0; i < n; i++){ + System.out.printf("%.4f\t", x[i]); + } + System.out.printf("\n"); + } + + public static class funct extends E04CB.Abstract_E04CB_FUNCT{ + public void eval(){ + this.FC = Math.exp(this.XC[0]) * ((4 * this.XC[0] * (this.XC[0] + this.XC[1])) + (2 * this.XC[1] * (this.XC[1] + 1) + 1)); + } + } + + public static class myMonit extends E04CB.Abstract_E04CB_MONIT{ + public void eval(){ + System.out.println(); + System.out.printf("There have been %d function calls\n", this.NCALL); + System.out.printf("The smallest function value is %.4f\n", this.FMIN); + System.out.printf("The simplex is\n"); + for(int i = 0; i <= this.N; i++){ + for(int j = 0; j < this.N; j++){ + System.out.printf("%.4f\t", this.SIM[(j * (this.N + 1)) + i]); + } + System.out.printf("\n"); + } + System.out.printf("The standard deviation in function values of the vertices of the simplex is %.4f\n", this.SERROR); + System.out.printf("The linearized volume ratio of the current simplex to the starting one is %.4f\n", this.VRATIO); + } + } + + //This is how to use NAG supplied function as argument + public static class defMonit extends E04CBK implements E04CB.E04CB_MONIT{ + public void eval(){ + super.eval(); + } + } +} diff --git a/simple_examples/source/int32/E04FCJE.java b/simple_examples/source/int32/E04FCJE.java new file mode 100644 index 0000000..939f68d --- /dev/null +++ b/simple_examples/source/int32/E04FCJE.java @@ -0,0 +1,420 @@ +import com.nag.routines.E04.E04FC; +import com.nag.routines.F06.DDOT; +import com.nag.routines.F06.DGEMV; +import com.nag.routines.X02.X02AJ; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.IOException; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * E04FC example program text. + * @author ludovic + */ +public class E04FCJE { + + public static void main(String[] args) { + + BufferedReader dataIn = null; + + try { + E04FC e04fc = new E04FC(); + System.out.println(" E04FCJ Example Program Results"); + dataIn = new BufferedReader(new FileReader(args[0])); + //skip header + dataIn.readLine(); + + int inc1 = 1, liw = 1, m, ldfjac = m = 15, n, ldv = n = 3, nt = 3, + lw = 6 * n + m * n + 2 * m + n * (n - 1) / 2; + String trans = "T"; + + double eta, fsumsq, stepmx, xtol; + eta = fsumsq = stepmx = xtol = Double.NaN; + int ifail, iprint, maxcal, nf, niter; + ifail = iprint = maxcal = nf = niter = 0; + double[] fjac = new double[m * n], + fvec = new double[m], + g = new double[n], + s = new double[n], + v = new double[ldv * n], + w = new double[lw], + x = new double[n], + y = new double[m], + t = new double[m * nt]; + + + int[] iw = new int[liw]; + + for (int i = 0; i < m; ++i) { + String[] line = dataIn.readLine().trim().split("\\s+"); + if (line.length != nt + 1) { + System.err.println("Error in data file - only " + line.length + + " records at line " + (i + 2) + " while expecting " + (nt + 1) + + " elements"); + System.exit(1); + } + y[i] = Double.parseDouble(line[0].replaceAll("D", "E")); // java doesn't know the D format + for (int j = 1; j <= nt; ++j) { + t[i + (j - 1) * m] = Double.parseDouble(line[j].replaceAll("D", "E")); + } + } + + // Set IPRINT to 1 to obtain output from LSQMON at each iteration + iprint = -1; + + maxcal = 400 * n; + eta = 0.5; + xtol = 10.0 * Math.sqrt((new X02AJ()).eval()); + + // We estimate that the minimum will be within 10 units of the starting point + stepmx = 10.0; + + // Set up the starting point + x[0] = 0.5; + x[1] = 1.0; + x[2] = 1.5; + + ifail = -1; + + LSQFUN lsqfun = new LSQFUN(); + lsqfun.t = t; + lsqfun.y = y; + LSQMON lsqmon = new LSQMON(); + + e04fc.eval(m, n, lsqfun, lsqmon, iprint, maxcal, eta, xtol, stepmx, x, fsumsq, + fvec, fjac, ldfjac, s, v, ldv, niter, nf, iw, liw, w, lw, ifail); + + ifail = e04fc.getIFAIL(); + + + switch (ifail) { + case (1): + System.err.println("Unexpected ifail = " + ifail); + break; + default: + System.out.println(); + System.out.printf(" On exit, the sum of squares is %12.4f\n", e04fc.getFSUMSQ()); + System.out.printf(" at the point %12.4f %12.4f %12.4f\n", x[0], x[1], x[2]); + lsqgrd(m, n, fvec, fjac, ldfjac, g); + System.out.print(" The estimated gradient is "); + for (int i = 0; i < n; ++i) { + System.out.printf(" %12.3e\t", g[i]); + } + System.out.println(); + System.out.println(" (machine dependent)"); + System.out.println(" and the residuals are"); + for (int i = 0; i < m; ++i) { + System.out.printf(" %9.1e\n", fvec[i]); + } + } + + + + } + catch (Exception ex) { + Logger.getLogger(E04FCJE.class.getName()).log(Level.SEVERE, null, ex); + } + finally { + try { + dataIn.close(); + } + catch (IOException ex) { + Logger.getLogger(E04FCJE.class.getName()).log(Level.SEVERE, null, ex); + } + } + + + } + + public static void lsqgrd(int m, int n, double[] fvec, double[] fjac, int ldfjac, double[] g) { + DGEMV dgemv = new DGEMV("T", m, n, 1.0, fjac, ldfjac, fvec, 1, 0.0, g, 1); + dgemv.eval(); + for (int i = 0; i < g.length; ++i) { + g[i] = 2.0 * g[i]; + } + } + + public static class LSQFUN implements E04FC.E04FC_LSQFUN { + + public double[] t, y; + int IFLAG, M, N, LW, LIW; + double[] XC, FVEC, W; + int[] IW; + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setM(int M) { + this.M = M; + } + + @Override + public int getM() { + return M; + } + + @Override + public void setN(int N) { + this.N = N; + } + + @Override + public int getN() { + return N; + } + + @Override + public void setXC(double[] XC) { + this.XC = XC; + } + + @Override + public double[] getXC() { + return XC; + } + + @Override + public void setFVEC(double[] FVEC) { + this.FVEC = FVEC; + } + + @Override + public double[] getFVEC() { + return FVEC; + } + + @Override + public void setIW(int[] IW) { + this.IW = IW; + } + + @Override + public int[] getIW() { + return IW; + } + + @Override + public void setLIW(int LIW) { + this.LIW = LIW; + } + + @Override + public int getLIW() { + return LIW; + } + + @Override + public void setW(double[] W) { + this.W = W; + } + + @Override + public double[] getW() { + return W; + } + + @Override + public void setLW(int LW) { + this.LW = LW; + } + + @Override + public int getLW() { + return LW; + } + + @Override + public void eval(int IFLAG, int M, int N, double[] XC, double[] FVEC, + int[] IW, int LIW, double[] W, int LW) { + for (int i = 0; i < M; ++i) { + FVEC[i] = XC[0] + t[i] / (XC[1] * t[i + M] + XC[2] * t[i + 2 * M]) - y[i]; + } + } + + } + + public static class LSQMON implements E04FC.E04FC_LSQMON { + + int M, N, LDFJAC, NITER, NF, IGRADE, LIW, LW; + int[] IW; + double[] XC, FVEC, FJAC, S, W; + + @Override + public void setM(int M) { + this.M = M; + } + + @Override + public int getM() { + return M; + } + + @Override + public void setN(int N) { + this.N = N; + } + + @Override + public int getN() { + return N; + } + + @Override + public void setXC(double[] XC) { + this.XC = XC; + } + + @Override + public double[] getXC() { + return XC; + } + + @Override + public void setFVEC(double[] FVEC) { + this.FVEC = FVEC; + } + + @Override + public double[] getFVEC() { + return FVEC; + } + + @Override + public void setFJAC(double[] FJAC) { + this.FJAC = FJAC; + } + + @Override + public double[] getFJAC() { + return FJAC; + } + + @Override + public void setLDFJAC(int LDFJAC) { + this.LDFJAC = LDFJAC; + } + + @Override + public int getLDFJAC() { + return LDFJAC; + } + + @Override + public void setS(double[] S) { + this.S = S; + } + + @Override + public double[] getS() { + return S; + } + + @Override + public void setIGRADE(int IGRADE) { + this.IGRADE = IGRADE; + } + + @Override + public int getIGRADE() { + return IGRADE; + } + + @Override + public void setNITER(int NITER) { + this.NITER = NITER; + } + + @Override + public int getNITER() { + return NITER; + } + + @Override + public void setNF(int NF) { + this.NF = NF; + } + + @Override + public int getNF() { + return NF; + } + + @Override + public void setIW(int[] IW) { + this.IW = IW; + } + + @Override + public int[] getIW() { + return IW; + } + + @Override + public void setLIW(int LIW) { + this.LIW = LIW; + } + + @Override + public int getLIW() { + return LIW; + } + + @Override + public void setW(double[] W) { + this.W = W; + } + + @Override + public double[] getW() { + return W; + } + + @Override + public void setLW(int LW) { + this.LW = LW; + } + + @Override + public int getLW() { + return LW; + } + + @Override + public void eval(int M, int N, double[] XC, double[] FVEC, double[] FJAC, + int LDFJAC, double[] S, int IGRADE, int NITER, int NF, int[] IW, + int LIW, double[] W, int LW) { + + int ndec = 3; + double fsumsq, gtg; + double[] g = new double[ndec]; + DDOT ddot = new DDOT(M, FVEC, 1, FVEC, 1); + fsumsq = ddot.eval(); + + lsqgrd(M, N, FVEC, FJAC, LDFJAC, g); + + gtg = ddot.eval(N, g, 1, g, 1); + // 99998 Format (1X,1P,E13.5,10X,1P,E9.1,10X,1P,E9.1) + System.out.println(); + System.out.println(" Itn F evals SUMSQ GTG Grade"); + System.out.printf(" %4d %5d %13.5e %9.1e %3d\n", + NITER, NF, fsumsq, gtg, IGRADE); + System.out.println(); + System.out.println(" X G Singular values"); + for (int j = 0; j < N; ++j) { + System.out.printf(" %13.5e %9.1e %9.1e\n",XC[j], g[j], S[j]); + } + + } + + } + +} diff --git a/simple_examples/source/int32/E04FFJE.java b/simple_examples/source/int32/E04FFJE.java new file mode 100644 index 0000000..ad81e32 --- /dev/null +++ b/simple_examples/source/int32/E04FFJE.java @@ -0,0 +1,140 @@ +import com.nag.routines.E04.E04FF; +import com.nag.routines.E04.E04FFU; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RM; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04ZM; +import java.util.Arrays; + +/** + * E04FF example program text. + * @author joed + */ +public class E04FFJE { + + public static void main(String[] args) { + double infbnd = 1.0e20; + double[] lx, rx, ux, x, ruser, pdy, pdz; + double[] rinfo = new double[100], stats = new double[100]; + int ifail, isparse, nnzrd, nres, nvar, pdny, pdnz; + int[] iuser; + int[] icolrd = new int[1], irowrd = new int[1]; + long cpuser, handle; // c_ptr + MONIT monit = new MONIT(); + OBJFUN objfun = new OBJFUN(); + + /* Header */ + System.out.printf(" E04FFJ Example Program Results\n\n"); + + /* Fill problem data structure */ + pdny = 11; + pdnz = 11; + pdy = new double[] { + 4.0e0, 2.0e0, 1.0e0, 5.0e-1, 2.5e-1, 1.67e-1, 1.25e-1, 1.0e-1, + 8.33e-2, 7.14e-2, 6.25e-2 + }; + pdz = new double[] { + 1.957e-1, 1.947e-1, 1.735e-1, 1.6e-1, 8.44e-2, 6.27e-2, 4.56e-2, + 3.42e-2, 3.23e-2, 2.35e-2, 2.46e-2 + }; + nvar = 4; + nres = 11; + + /* Initialize handle */ + E04RA e04ra = new E04RA(); + handle = 0; + ifail = 0; // hard fail + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + /* Define residuals structure */ + E04RM e04rm = new E04RM(); + isparse = 0; // Dense => irowrd and icolrd are not accessed + nnzrd = 1; + ifail = 0; + e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); + + /* Set options */ + E04ZM e04zm = new E04ZM(); + ifail = 0; + e04zm.eval(handle, "DFLS Trust Region Tolerance = 5.0e-6", ifail); + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + + /* Define starting point */ + x = new double[] {0.25, 0.39, 0.415, 0.39}; + rx = new double[nres]; + + /* Define bounds for the second and the fourth variable */ + E04RH e04rh = new E04RH(); + lx = new double[] {-infbnd, 0.2, -infbnd, 0.3}; + ux = new double[] {infbnd, 1.0, infbnd, infbnd}; + ifail = 0; + e04rh.eval(handle, nvar, lx, ux, ifail); + + /* Call the solver */ + E04FF e04ff = new E04FF(); + ifail = -1; + iuser = new int[] {pdny, pdnz}; + ruser = new double[2 * nres]; + cpuser = 0L; + for (int i = 0; i < nres; i++) { + ruser[i] = pdy[i]; + ruser[nres + i] = pdz[i]; + } + e04ff.eval(handle, objfun, monit, nvar, x, nres, rx, rinfo, stats, + iuser, ruser, cpuser, ifail); + + /* Free handle memory */ + E04RZ e04rz = new E04RZ(); + ifail = 0; + e04rz.eval(handle, ifail); + + } + + public static class OBJFUN extends E04FF.Abstract_E04FF_OBJFUN { + + public void eval() { + int pdny, pdnz; + double r1, r2; + double[] pdy, pdz; + + /* Interrupt solver if the dimensions are incorrect */ + if (this.NRES != 11 || this.NVAR != 4) { + this.INFORM = -1; + return; + } + + /* Extract the problem data structure from the workspaces */ + pdny = this.IUSER[0]; + pdnz = this.IUSER[1]; + if (pdny != this.NRES || pdnz != this.NRES) { + this.INFORM = -1; + return; + } + pdy = Arrays.copyOfRange(this.RUSER, 0, pdny); + pdz = Arrays.copyOfRange(this.RUSER, pdny, pdny + pdnz); + + for (int i = 0; i < this.NRES; i++) { + r1 = pdy[i] * (pdy[i] + this.X[1]); + r2 = pdy[i] * (pdy[i] + this.X[2]) + this.X[3]; + this.RX[i] = pdz[i] - (this.X[0] * r1/r2); + } + + } + + } + + public static class MONIT extends E04FF.Abstract_E04FF_MONIT { + + public void eval() { + E04FFU e04ffu = new E04FFU(); + e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, + this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ffu.getINFORM(); + } + + } + +} diff --git a/simple_examples/source/int32/E04GBJE.java b/simple_examples/source/int32/E04GBJE.java new file mode 100644 index 0000000..7becf21 --- /dev/null +++ b/simple_examples/source/int32/E04GBJE.java @@ -0,0 +1,183 @@ +import com.nag.routines.A00.A00AA; +import com.nag.routines.E04.E04GB; +import com.nag.routines.E04.E04HEV; +import com.nag.routines.E04.E04YA; +import com.nag.routines.F06.DDOT; +import com.nag.routines.F06.F06PA; +import com.nag.routines.X02.X02AJ; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * E04GB example program text. + */ +public class E04GBJE { + + public static final int inc1 = 1, liw = 1, m = 15, n = 3, nt = 3; + public static final int ldfjac = m, ldv = n, lw = 7*n + m*n + 2*m + n*n; + public static final String trans = "T"; + public static double[] y; + public static double[] t; + + public static void main(String[] args) { + + double eta, fsumq = 0.0, stepmx, xtol; + int ifail, iprint, maxcal, nf = 0, niter = 0; + double[] fjac = new double[ldfjac * n]; + double[] fvec = new double[m]; + double[] g = new double[n]; + double[] s = new double[n]; + double[] v = new double[ldv * n]; + double[] w = new double[lw * n]; + double[] x = new double[n]; + int[] iw = new int[liw]; + + System.out.println(" E04GBJ Example Program Results"); + + // Data + y = new double[] { + 0.14, 0.18, 0.22, 0.25, 0.29, 0.32, 0.35, 0.39, 0.37, 0.58, 0.73, + 0.96, 1.34, 2.10, 4.39 + }; + + t = new double[m * nt]; + for (int i = 0; i < m; i++) { + t[i] = i + 1.0; + t[m + i] = 15.0 - i; + t[2*m + i] = -Math.abs(i - 7.0) + 8.0; + } + + // Check LSQFUN by calling E04YA at an arbitrary point + E04YA e04ya = new E04YA(); + LSQFUN lsqfun = new LSQFUN(); + x[0] = 0.19; + x[1] = -.34; + x[2] = 0.88; + ifail = 0; + e04ya.eval(m, n, lsqfun, x, fvec, fjac, ldfjac, iw, liw, w, lw, ifail); + + // Continue setting parameters for E04GB + E04GB e04gb = new E04GB(); + LSQMON lsqmon = new LSQMON(); + LSQLIN lsqlin = new LSQLIN(); + iprint = -1; // Set to 1 to obtain output from LSQMON at each iteration + maxcal = 50 * n; + eta = 0.09; // Since E04HEV is being used as LSQLIN + xtol = 10.0 * Math.sqrt((new X02AJ()).eval()); + stepmx = 10.0; + + // Set up the starting point + x[0] = 0.5; + x[1] = 1.0; + x[2] = 1.5; + + ifail = -1; + e04gb.eval(m, n, lsqlin, lsqfun, lsqmon, iprint, maxcal, eta, xtol, + stepmx, x, fsumq, fvec, fjac, ldfjac, s, v, ldv, niter, nf, iw, + liw, w, lw, ifail); + fsumq = e04gb.getFSUMSQ(); + x = e04gb.getX(); + ifail = e04gb.getIFAIL(); + + if (ifail == 0 || ifail >= 2) { + System.out.println(); + System.out.printf(" On exit, the sum of squares is %12.4f\n", fsumq); + System.out.printf(" at the point "); + for (int ii = 0; ii < n; ++ii) { + System.out.printf("%12.4f", x[ii]); + } + System.out.println(); + + lsqmon.lsqgrd(m, n, fvec, fjac, ldfjac, g); + + System.out.print(" The corresponding gradient is"); + for (int ii = 0; ii < n; ++ii) { + System.out.printf("%12.3E", g[ii]); + } + System.out.println(); + System.out.println(" (machine dependent)"); + System.out.println(" and the residuals are"); + for (int ii = 0; ii < m; ++ii) { + System.out.printf(" %9.1E\n", fvec[ii]); + } + System.out.println(); + } + + } + + /** Routine to evaluate the residuals and their 1st derivatives. */ + public static class LSQFUN extends E04GB.Abstract_E04GB_LSQFUN implements E04YA.E04YA_LSQFUN { + + public void eval() { + double denom, dummy; + + for (int i = 0; i < m; i++) { + denom = this.XC[1] * t[i + this.M] + this.XC[2] * t[i + 2*this.M]; + this.FVEC[i] = this.XC[0] + t[i] / denom - y[i]; + + if (this.IFLAG != 0) { + this.FJAC[i] = 1.0; + dummy = -1.0 / (denom * denom); + this.FJAC[i + ldfjac] = t[i] * t[i + this.M] * dummy; + this.FJAC[i + 2*ldfjac] = t[i] * t[i + 2*this.M] * dummy; + } + } + + } + + } + + public static class LSQMON extends E04GB.Abstract_E04GB_LSQMON { + + public static final int ndec = 3; + + /** Monitoring routine. */ + public void eval() { + double fsumsq, gtg; + double[] g = new double[ndec]; + DDOT ddot = new DDOT(); + + fsumsq = ddot.eval(this.M, this.FVEC, inc1, this.FVEC, inc1); + this.lsqgrd(this.M, this.N, this.FVEC, this.FJAC, this.LDFJAC, g); + gtg = ddot.eval(this.N, g, inc1, g, inc1); + + System.out.println(); + System.out.println(" Itn F evals SUMSQ GTG Grade"); + System.out.printf(" %4d %5d %13.5E %9.1E %3d\n", + this.NITER, this.NF, fsumsq, gtg, this.IGRADE); + System.out.println(); + System.out.println(" X G Singular values"); + for (int j = 0; j < n; j++) { + System.out.printf(" %13.5E %9.1E %9.1E\n", + this.XC[j], g[j], this.S[j]); + } + + } + + /** Routine to evaluate gradient of the sum of squares. */ + public void lsqgrd(int m, int n, double[] fvec, double[] fjac, int ldfjac, double[] g) { + F06PA f06pa = new F06PA(trans, m, n, 1.0, fjac, ldfjac, fvec, inc1, 0.0, g, inc1); + f06pa.eval(); + + for (int i = 0; i < n; ++i) { + g[i] = 2.0 * g[i]; + } + + } + + } + + /** Using E04HEV as LSQLIN. */ + private static class LSQLIN extends E04HEV implements E04GB.E04GB_LSQLIN { + + public void eval() { + super.eval(); + } + + } + +} diff --git a/simple_examples/source/int32/E04GGJE.java b/simple_examples/source/int32/E04GGJE.java new file mode 100644 index 0000000..8a18c6a --- /dev/null +++ b/simple_examples/source/int32/E04GGJE.java @@ -0,0 +1,219 @@ +import com.nag.routines.E04.E04FFU; +import com.nag.routines.E04.E04GG; +import com.nag.routines.E04.E04GGV; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RM; +import com.nag.routines.E04.E04RX; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04ZM; + +/** + * E04GG example program text. + */ +public class E04GGJE { + + public static void main(String[] args) { + + final double infbnd = 1.0e20; + + long cpuser = 0, handle = 0; + int ifail, isparse, nnzrd, nres, nvar; + + double[] blx, bux, ruser, rx, x, z; + double[] rinfo = new double[100], stats = new double[100]; + int[] icolrd = new int[1], irowrd = new int[1], iuser = new int[1]; + + /* Header */ + System.out.println(" E04GGJ Example Program Results\n"); + + nvar = 6; + nres = 24; + // ruser = new double[2*nres]; + // Data from Lanczos 3 Problem + ruser = new double[] { + // t(:) = + 0.0e0, 5.0e-2, 1.0e-1, 1.5e-1, 2.0e-1, 2.5e-1, 3.0e-1, 3.5e-1, + 4.0e-1, 4.5e-1, 5.0e-1, 5.5e-1, 6.0e-1, 6.5e-1, 7.0e-1, 7.5e-1, + 8.0e-1, 8.5e-1, 9.0e-1, 9.5e-1, 1.0e0, 1.05e0, 1.10e0, 1.15e0, + // y(:) = + 2.5134, 2.0443, 1.6684, 1.3664, 1.1232, 0.9269, 0.7679, 0.6389, + 0.5338, 0.4479, 0.3776, 0.3197, 0.2720, 0.2325, 0.1997, 0.1723, + 0.1493, 0.1301, 0.1138, 0.1000, 0.0883, 0.0783, 0.0698, 0.0624 + }; + + iuser[0] = 0; + + // Initialize handle + ifail = 0; + E04RA e04ra = new E04RA(); + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + // Define residuals structure, isparse=0 means the residual structure is + // dense => irowrd and icolrd are not accessed + isparse = 0; + nnzrd = 0; + E04RM e04rm = new E04RM(); + e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); + + // Set options + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "BXNL Use Second Derivatives = Yes",ifail); + e04zm.eval(handle, "BXNL Model = Gauss-Newton",ifail); + e04zm.eval(handle, "BXNL Glob Method = Reg",ifail); + // Change printed output verbosity + e04zm.eval(handle, "Print Level = 1",ifail); + + // Define starting point + rx = new double[nres]; + z = new double[nvar]; + // x = new double[nvar]; + x = new double[] { + 1.2, 0.3, 5.6, 5.5, 6.5, 7.6 + }; + + // Define bounds + blx = new double[nvar]; + bux = new double[nvar]; + blx[0] = 0.0; + bux[0] = 1.0; + blx[1] = -1.0; + bux[1] = infbnd; + blx[2] = -1.0; + bux[2] = infbnd; + blx[3] = -1.0; + bux[3] = infbnd; + blx[4] = -1.0; + bux[4] = 1.0; + blx[5] = -1.0; + bux[5] = 10.0; + E04RH e04rh = new E04RH(); + e04rh.eval(handle, nvar, blx, bux, ifail); + + // Call the solver + ifail = -1; + E04GG e04gg = new E04GG(); + LSQFUN lsqfun = new LSQFUN(); + LSQGRD lsqgrd = new LSQGRD(); + LSQHES lsqhes = new LSQHES(); + LSQHPRD lsqhprd = new LSQHPRD(); + MONIT monit = new MONIT(); + + e04gg.eval(handle,lsqfun,lsqgrd,lsqhes,lsqhprd,monit,nvar,x,nres,rx,rinfo,stats,iuser,ruser,cpuser,ifail); + ifail = e04gg.getIFAIL(); + + // Recover latest iterate from handle if available + if (ifail == 0) { + ifail = -1; + E04RX e04rx = new E04RX(); + e04rx.eval(handle,"X",1,nvar,z,ifail); + ifail = e04rx.getIFAIL(); + if (ifail == 0) { + System.out.println("\nSolver stored solution iterate in the handle"); + System.out.print("X: "); + for (int i = 0; i < nvar; i++){ + System.out.printf("%8.2E ", z[i]); + } + System.out.println(); + } + } + + // Free the handle memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + + } + + public static class LSQFUN extends E04GG.Abstract_E04GG_LSQFUN { + + public void eval() { + for (int i = 0; i < this.NRES; i++){ + this.RX[i] = 0.0; + } + + for (int i = 0; i < this.NRES; i++){ + this.RX[i] = this.RUSER[this.NRES + i] - this.X[0] * Math.exp(-this.X[1] * this.RUSER[i]) - + this.X[2] * Math.exp(-this.X[3] * this.RUSER[i]) - this.X[4] * Math.exp(-this.X[5] * this.RUSER[i]); + } + + this.INFORM = 0; + } + } + + public static class LSQGRD extends E04GG.Abstract_E04GG_LSQGRD { + + public void eval() { + int i; + + for (i = 0; i < this.RDX.length; i++) { + this.RDX[i] = 0; + } + + for (i = 0; i < this.NRES; i++) { + this.RDX[i * this.NVAR + 0] = -Math.exp(-this.X[1] * this.RUSER[i]); + this.RDX[i * this.NVAR + 1] = this.RUSER[i] * this.X[0] * Math.exp(-this.X[1] * this.RUSER[i]); + this.RDX[i * this.NVAR + 2] = -Math.exp(-this.X[3] * this.RUSER[i]); + this.RDX[i * this.NVAR + 3] = this.RUSER[i] * this.X[2] * Math.exp(-this.X[3] * this.RUSER[i]); + this.RDX[i * this.NVAR + 4] = -Math.exp(-this.X[5] * this.RUSER[i]); + this.RDX[i * this.NVAR + 5] = this.RUSER[i] * this.X[4] * Math.exp(-this.X[5] * this.RUSER[i]); + } + + this.INFORM = 0; + } + } + + public static class LSQHES extends E04GG.Abstract_E04GG_LSQHES { + + public void eval() { + for (int i = 0; i < this.NVAR * this.NVAR; i++) { + this.HX[i] = 0.0; + } + + double sum21 = 0.0, sum22 = 0.0, sum43 = 0.0, sum44 = 0.0, sum65 = 0.0, sum66 = 0.0; + + for (int i = 0; i < this.NRES; i++){ + sum21 = sum21 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[1] * this.RUSER[i])); + sum22 = sum22 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[0] * Math.exp(-this.X[1] * this.RUSER[i])); + sum43 = sum43 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[3] * this.RUSER[i])); + sum44 = sum44 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[2] * Math.exp(-this.X[3] * this.RUSER[i])); + sum65 = sum65 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[5] * this.RUSER[i])); + sum66 = sum66 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[4] * Math.exp(-this.X[5] * this.RUSER[i])); + } + + this.HX[(2-1) + (1-1) * this.NVAR] = sum21; + this.HX[(1-1) + (2-1) * this.NVAR] = this.HX[(2-1) + (1-1) * this.NVAR]; + this.HX[(2-1) + (2-1) * this.NVAR] = sum22; + this.HX[(4-1) + (3-1) * this.NVAR] = sum43; + this.HX[(3-1) + (4-1) * this.NVAR] = this.HX[(4-1) + (3-1) * this.NVAR]; + this.HX[(4-1) + (4-1) * this.NVAR] = sum44; + this.HX[(6-1) + (5-1) * this.NVAR] = sum65; + this.HX[(5-1) + (6-1) * this.NVAR] = this.HX[(6-1) + (5-1) * this.NVAR]; + this.HX[(6-1) + (6-1) * this.NVAR] = sum66; + + this.INFORM = 0; + } + } + + public static class MONIT extends E04GG.Abstract_E04GG_MONIT { + + public void eval() { + E04FFU e04ffu = new E04FFU(); + e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, + this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ffu.getINFORM(); + } + } + + public static class LSQHPRD extends E04GG.Abstract_E04GG_LSQHPRD { + + public void eval() { + E04GGV e04ggv = new E04GGV(); + e04ggv.eval(this.NVAR, this.X, this.Y, this.NRES, this.HXY, + this.INFORM, this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ggv.getINFORM(); + } + } + +} diff --git a/simple_examples/source/int32/E04MTJE.java b/simple_examples/source/int32/E04MTJE.java new file mode 100644 index 0000000..6272e91 --- /dev/null +++ b/simple_examples/source/int32/E04MTJE.java @@ -0,0 +1,132 @@ +import com.nag.routines.E04.E04MT; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RF; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RJ; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04ZM; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.Arrays; + +/** + * E04MT example program text. + */ +public class E04MTJE { + + public static void main(String[] args) throws IOException { + + System.out.println(" E04MTJ Example Program Results"); + int m = 7; + int n = 7; + int nnza = 41; + int nnzc = 7; + int nnzu = 2*n + 2*m; + + int[] cindex = {1,2,3,4,5,6,7}; + double[] c = {-0.02,-0.20,-0.20,-0.20,-0.20, 0.04, 0.04}; + int[] irowa = {1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3, + 4,4,4,4,4,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7}; + int[] icola = {1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,4,5,6, + 1,2,3,4,5,1,2,5,1,2,3,4,5,6,1,2,3,4,5,6,7}; + double[] a = {1.00, 1.00, 1.00, 1.00, 1.00, 1.00, 1.00, + 0.15, 0.04, 0.02, 0.04, 0.02, 0.01, 0.03, + 0.03, 0.05, 0.08, 0.02, 0.06, 0.01,0.02, + 0.04, 0.01, 0.02, 0.02,0.02, 0.03, 0.01,0.70, + 0.75, 0.80, 0.75, 0.80, 0.97,0.02, 0.06, 0.08, + 0.12, 0.02, 0.01, 0.97}; + double[] bla = {-0.13,-1.0e20,-1.0e20,-1.0e20,-1.0e20, + -0.0992,-0.003}; + double[] bua = {-0.13,-0.0049,-0.0064,-0.0037,-0.0012, + 1.0e20, 0.002}; + double[] xl = {-0.01,-0.1,-0.01,-0.04,-0.1,-0.01,-0.01}; + double[] xu = {0.01,0.15,0.03,0.02,0.05,1.0e20,1.0e20}; + double[] dArrData = new double[nnza+2*m+3*n+nnzc+nnzu]; + + long handle = 0; + int ifail = 0; + E04RA e04ra = new E04RA(handle,n,ifail); + e04ra.eval(); + + handle = e04ra.getHANDLE(); + + int[] icolh = new int[1]; + int[] irowh = new int[1]; + double[] h = new double[1]; + E04RF e04rf = new E04RF(handle,nnzc,cindex,c,0,irowh,icolh,h,ifail); + e04rf.eval(); + handle = e04ra.getHANDLE(); + + E04RH e04rh = new E04RH(handle,n,xl,xu,ifail); + e04rh.eval(); + handle = e04rh.getHANDLE(); + + int idlc = 0; + E04RJ e04rj = new E04RJ(handle,m,bla,bua,nnza,irowa,icola,a,idlc,ifail); + e04rj.eval(); + handle = e04rj.getHANDLE(); + + E04ZM e04zm = new E04ZM(handle,"LPIPM Monitor Frequency = 1",ifail); + e04zm.eval(); + e04zm.setOPTSTR("LPIPM Stop Tolerance = 1.0e-10"); + e04zm.eval(); + e04zm.setOPTSTR("Print Solution = YES"); + e04zm.eval(); + e04zm.setOPTSTR("Print Options = NO"); + e04zm.eval(); + e04zm.setOPTSTR("LPIPM Centrality Correctors = -6"); + e04zm.eval(); + handle = e04zm.getHANDLE(); + + long cpuser = 2; + int[] iuser = {1}; + double[] ruser = new double[1]; + ifail = -1; + MONIT monit = new MONIT(); + double[] x = new double[n], u = new double[nnzu]; + double[] rinfo = new double[100], stats = new double[100]; + System.out.println(); + System.out.println("++++++++++ Use the Primal-Dual algorithm ++++++++++"); + E04MT e04mt = new E04MT(handle,n,x,nnzu,u,rinfo,stats, + monit,iuser,ruser,cpuser,ifail); + e04mt.eval(); + System.out.println(); + System.out.println("++++++++++ Use the Self-Dual algorithm ++++++++++"); + e04zm.setOPTSTR("LPIPM Algorithm = Self-Dual"); + e04zm.eval(); + e04zm.setOPTSTR("LPIPM Stop Tolerance 2 = 1.0e-11"); + e04zm.eval(); + iuser[0] = 2; + e04mt.setIFAIL(-1); + e04mt.setHANDLE(e04zm.getHANDLE()); + e04mt.setIUSER(iuser); + e04mt.eval(); + + } + + public static class MONIT extends E04MT.Abstract_E04MT_MONIT { + + public void eval() { + + double tol = 1.2e-8; + + if (IUSER[0] == 1) { + if ((RINFO[4] < tol) && (RINFO[5] < tol) && (RINFO[6] < tol)) { + System.out.println("Iteration " + Integer.toString((int)STATS[0])); + System.out.printf(" monit() reports good approximate solution (tol = %5.2E):\n", tol); + } + } + else { + if ((RINFO[14] < tol) && (RINFO[15] < tol) && (RINFO[16] < tol) && (RINFO[17] < tol)) { + System.out.println("Iteration " + Integer.toString((int)STATS[0])); + System.out.printf(" monit() reports good approximate solution (tol = %5.2E):\n", tol); + } + } + + } + + } + +} diff --git a/simple_examples/source/int32/E04MXJE.java b/simple_examples/source/int32/E04MXJE.java new file mode 100644 index 0000000..642a933 --- /dev/null +++ b/simple_examples/source/int32/E04MXJE.java @@ -0,0 +1,292 @@ +import com.nag.routines.E04.E04MX; +import com.nag.routines.E04.E04NP; +import com.nag.routines.E04.E04NQ; +import com.nag.routines.E04.E04NS; +import com.nag.routines.E04.E04NT; +import com.nag.routines.X04.X04AC; +import com.nag.routines.X04.X04AD; +import java.util.Arrays; + +/** + * E04MX example program text. + */ +public class E04MXJE { + + public static void main(String[] args) { + + /* Parameters */ + int lencw = 600, leniw = 600, lenrw = 600, mpslst = 1, nin = 7, nout = 6; + boolean readints = false; + String fname = args[0]; + /* Local Scalars */ + double obj, objadd, sinf; + int i, ifail, iobj, lenc, lintvar, m, maxlintvar, maxm, maxn, maxncolh, + maxnnz, maxnnzh, minmax, mode, n, ncolh, ninf, nname, nnz, nnzh, ns; + boolean verboseOutput; + String start; + /* Local Arrays */ + double[] a, bl, bu, c, h, pi, rc, ruser, rw, x; + int[] helast, hs, iccola, iccolh, intvar, irowa, irowh, iuser, iw; + String[] crname, cw; + String[] cuser = new String[1], pnames = new String[5]; + cuser[0] = " "; + for (int j = 0; j < 5; j++) { + pnames[j] = " "; + } + + System.out.println(" E04MXJ Example Program Results"); + + // Initialize + for (int j = 0; j < 5; j++) { + pnames[j] = " "; + } + maxm = 0; + maxn = 0; + maxnnz = 0; + maxnnzh = 0; + maxncolh = 0; + maxlintvar = 0; + + // Open the data file for reading + X04AC x04ac = new X04AC(); + mode = 0; + ifail = 0; + x04ac.eval(nin, fname, mode, ifail); + + // Prep call to E04MX in query mode + E04MX e04mx = new E04MX(); + a = new double[1]; + irowa = new int[1]; + iccola = new int[1]; + bl = new double[1]; + bu = new double[1]; + crname = new String[]{" "}; + h = new double[1]; + irowh = new int[1]; + iccolh = new int[1]; + intvar = new int[1]; + ifail = 0; + + // Placeholders for output only scalars + n = 0; + m = 0; + nnz = 0; + ncolh = 0; + nnzh = 0; + lintvar = 0; + iobj = 0; + nname = 0; + minmax = 0; + + // Make call to E04MX + e04mx.eval(nin, maxn, maxm, maxnnz, maxncolh, maxnnzh, maxlintvar, + mpslst, n, m, nnz, ncolh, nnzh, lintvar, iobj, a, irowa, + iccola, bl, bu, pnames, nname, crname, h, irowh, iccolh, + minmax, intvar, ifail); + + // Get output scalar values + n = e04mx.getN(); + m = e04mx.getM(); + nnz = e04mx.getNNZ(); + ncolh = e04mx.getNCOLH(); + nnzh = e04mx.getNNZH(); + lintvar = e04mx.getLINTVAR(); + iobj = e04mx.getIOBJ(); + nname = e04mx.getNNAME(); + minmax = e04mx.getMINMAX(); + ifail = e04mx.getIFAIL(); + + // Close file + X04AD x04ad = new X04AD(); + ifail = 0; + x04ad.eval(nin, ifail); + + // Set maxm, maxn and maxnnz + maxm = m; + maxn = n; + maxnnz = nnz; + maxnnzh = nnzh; + maxncolh = ncolh; + maxlintvar = (readints) ? lintvar : 1; + + // Allocate memory + irowa = new int[maxnnz]; + iccola = new int[maxn + 1]; + a = new double[maxnnz]; + bl = new double[maxn + maxm]; + bu = new double[maxn + maxm]; + crname = new String[maxn + maxm]; + for (int j = 0; j < (maxn + maxm); j++) { + crname[j] = " "; + } + irowh = new int[maxnnzh]; + iccolh = new int[maxncolh + 1]; + h = new double[maxnnzh]; + intvar = new int[maxlintvar]; + + // Open the data file for reading + mode = 0; + ifail = 0; + x04ac.eval(nin, fname, mode, ifail); + + // Call E04MX to read the problem + ifail = 0; + e04mx.eval(nin, maxn, maxm, maxnnz, maxncolh, maxnnzh, maxlintvar, + mpslst, n, m, nnz, ncolh, nnzh, lintvar, iobj, a, irowa, + iccola, bl, bu, pnames, nname, crname, h, irowh, iccolh, + minmax, intvar, ifail); + n = e04mx.getN(); + m = e04mx.getM(); + nnz = e04mx.getNNZ(); + ncolh = e04mx.getNCOLH(); + nnzh = e04mx.getNNZH(); + lintvar = e04mx.getLINTVAR(); + iobj = e04mx.getIOBJ(); + nname = e04mx.getNNAME(); + minmax = e04mx.getMINMAX(); + ifail = e04mx.getIFAIL(); + + // Close the data file + ifail = 0; + x04ad.eval(nin, ifail); + + /* Data has been read. Set up and run the solver */ + + iw = new int[leniw]; + rw = new double[lenrw]; + cw = new String[lencw]; + for (int j = 0; j < lencw; j++) { + cw[j] = " "; + } + + // Call E04NP to initialize workspace + E04NP e04np = new E04NP(); + ifail = 0; + e04np.eval(cw, lencw, iw, leniw, rw, lenrw, ifail); + + // Call option setter E04NS to change the direction of optimization. + // Minimization is assumed by default. + E04NS e04ns = new E04NS(); + if (minmax == 1) { + ifail = 0; + e04ns.eval("Maximize", cw, iw, rw, ifail); + } + else if (minmax == 0) { + ifail = 0; + e04ns.eval("Feasible Point", cw, iw, rw, ifail); + } + + // Set this to TRUE to cause E04NQ to produce intermediate progress output + verboseOutput = false; + + if (verboseOutput) { + // By default E04NQ does not print monitoring information. Set the print + // file unit or the summary file unit to get information. + E04NT e04nt = new E04NT(); + ifail = 0; + e04nt.eval("Print file", nout, cw, iw, rw, ifail); + } + else { + System.out.printf(" \n Problem contains %3d variables and %3d linear constraints\n", n, m); + } + + // We have no explicit objective vector so set LENC = 0; the objective vector + // is stored in row IOBJ of ACOL. + lenc = 0; + objadd = 0.0; + start = "C"; + + c = new double[Math.max(1, lenc)]; + helast = new int[n + m]; + x = new double[n + m]; + pi = new double[m]; + rc = new double[n + m]; + hs = new int[n + m]; + iuser = new int[ncolh + 1 + nnzh]; + ruser = new double[nnzh]; + + if (ncolh > 0) { + // Store the non zeros of H in ruser for use by qphx + for (int j = 0; j < nnzh; j++) { + ruser[j] = h[j]; + } + // Store iccolh and irowh in iuser for use by qphx + for (int j = 0; j < ncolh + 1; j++) { + iuser[j] = iccolh[j]; + } + for (int j = 0; j < nnzh; j++) { + iuser[j + ncolh + 1] = irowh[j]; + } + + } + + // Call E04NQ to solve the problem + E04NQ e04nq = new E04NQ(); + QPHX qphx = new QPHX(); + ns = 0; + ninf = 0; + sinf = 0.0; + obj = 0.0; + ifail = 0; + e04nq.eval(start, qphx, m, n, nnz, nname, lenc, ncolh, iobj, objadd, + pnames[0], a, irowa, iccola, bl, bu, c, crname, helast, hs, + x, pi, rc, ns, ninf, sinf, obj, cw, lencw, iw, leniw, rw, + lenrw,cuser,iuser,ruser,ifail); + ns = e04nq.getNS(); + ninf = e04nq.getNINF(); + sinf = e04nq.getSINF(); + obj = e04nq.getOBJ(); + ifail = e04nq.getIFAIL(); + + if (!verboseOutput) { + System.out.println(); + System.out.printf(" Final objective value = %11.3E\n", obj); + System.out.printf(" Optimal X = \n"); + System.out.printf(" "); + for (int j = 0; j < n; j++) { + System.out.printf("%9.2f", x[j]); + } + System.out.printf("\n"); + } + + } + + public static class QPHX extends E04NQ.Abstract_E04NQ_QPHX { + + /** + * Subroutine to compute H*x. + * Note: IUSER and RUSER contain the following data: + * RUSER(1:NNZH) = H(1:NNZH) + * IUSER(1:NCOLH+1) = ICCOLH(1:NCOLH+1) + * IUSER(NCOLH+2:NNZH+NCOLH+1) = IROWH(1:NNZH) + */ + public void eval() { + /* Local Scalars */ + int end, icol, idx, irow, start; + + Arrays.fill(HX, 0.0); + + for (icol = 0; icol < this.NCOLH + 1; ++icol) { + + start = this.IUSER[icol] - 1; + end = IUSER[icol+1] - 2; + + for (idx = start; idx < end + 1; ++idx) { + + irow = this.IUSER[this.NCOLH + 1 + idx] - 1; + this.HX[irow] += this.X[icol] * this.RUSER[idx]; + + if (irow != icol) { + this.HX[icol] += this.X[irow] * this.RUSER[idx]; + } + + } + + } + + } + + } + + +} diff --git a/simple_examples/source/int32/E04NCJE.java b/simple_examples/source/int32/E04NCJE.java new file mode 100644 index 0000000..d6c3010 --- /dev/null +++ b/simple_examples/source/int32/E04NCJE.java @@ -0,0 +1,246 @@ +import static java.lang.Math.max; + +import com.nag.routines.E04.E04NC; +import com.nag.routines.E04.E04WB; +import com.nag.routines.F06.DGEMV; +import java.io.BufferedReader; +import java.io.FileReader; +import java.text.NumberFormat; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * E04NC example program text. + * @author ludovic + */ +public class E04NCJE { + + public static void main(String[] args) { + + double one = 1.0; + double zero = 0.0; + int inc1 = 1, lcwsav = 1, liwsav = 610, + llwsav = 120, lrwsav = 475, nin = 5, + nout = 6; + double obj; + int i, ifail, iter, lda, ldc, liwork, + lwork, m, n, nclin, sdc; + double[] a, b, bl, bu, c, + clamda, cvec, work, x; + double[] rwsav = new double[lrwsav]; + int[] istate, iwork, kx; + int[] iwsav = new int[liwsav]; + boolean[] lwsav = new boolean[llwsav]; + String[] cwsav = new String[lcwsav]; + + System.out.println(" E04NCJ Example Program Results"); + try { + + BufferedReader br = new BufferedReader(new FileReader(args[0])); + String line = br.readLine(); // read the header + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + String[] data = line.split("\\s+"); + m = Integer.parseInt(data[0]); + n = Integer.parseInt(data[1]); + nclin = Integer.parseInt(data[2]); + + liwork = n; + ldc = max(1,nclin); + lda = max(1,m); + + if (nclin > 0) { + sdc = n; + } + else { + sdc = 1; + } + + /* This particular example problem is of type LS1, so we allocate + * A(LDA,N), CVEC(1), B(M) and define LWORK as below + */ + if (nclin > 0) { + lwork = 2*n*n + 9*n + 6*nclin; + } + else { + lwork = 9*n; + } + + /* + * 2Ds arrays (size [n,m]) are stored in 1D arrays of size n*m, ordered by column + * ie: + * 1 1 1 + * 2 2 2 + * 3 3 3 + * + * is stored [1,2,3,1,2,3,1,2,3] + */ + istate = new int[n+nclin]; + kx = new int[n]; + iwork = new int[liwork]; + c = new double[ldc*sdc]; + bl = new double[n+nclin]; + bu = new double[n+nclin]; + cvec = new double[1]; + x = new double[n]; + a = new double[lda * n]; + b = new double[m]; + clamda = new double[n+nclin]; + work = new double[lwork]; + + /* + * Extra arrays to initialize: + */ + for (int ii = 0; ii < cwsav.length; ++ii) { + // 80 characters long... + cwsav[ii] + = " "; + } + + for (int ii = 0; ii < lda; ++ii) { + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int jj = 0; jj < n; ++jj) { + a[lda*jj+ii] = Double.parseDouble(data[jj]); + } + } + + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + + for (int ii = 0; ii < m; ++ii) { + b[ii] = Double.parseDouble(data[ii]); + } + + for (int ii = 0; ii < ldc; ++ii) { + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int jj = 0; jj < sdc; ++jj) { + c[ldc*jj+ii] = Double.parseDouble(data[jj]); + } + } + + //bl and bu to complicated to read properly -> hardcoded + line = br.readLine(); + line = br.readLine(); + bl[0] = 0.0; + bl[1] = 0.0; + bl[2] = -1.0E+25; + bl[3] = 0.0; + bl[4] = 0.0; + bl[5] = 0.0; + bl[6] = 0.0; + bl[7] = 0.0; + bl[8] = 0.0; + bl[9] = 2.0; + bl[10] = -1.0E+25; + bl[11] = 1.0; + + line = br.readLine(); + line = br.readLine(); + bu[0] = 2.0; + bu[1] = 2.0; + bu[2] = 2.0; + bu[3] = 2.0; + bu[4] = 2.0; + bu[5] = 2.0; + bu[6] = 2.0; + bu[7] = 2.0; + bu[8] = 2.0; + bu[9] = 1.0E+25; + bu[10] = 2.0; + bu[11] = 4.0; + + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int ii = 0; ii < n; ++ii) { + x[ii] = Double.parseDouble(data[ii]); + } + + // CALL TO E04WBF + ifail = 0; + String routname = "E04NCA"; + E04WB e04wb = new E04WB(routname, cwsav, lcwsav, lwsav, llwsav, iwsav, liwsav, rwsav, + lrwsav, ifail); + e04wb.eval(); + cwsav = e04wb.getCWSAV(); + iwsav = e04wb.getIWSAV(); + lwsav = e04wb.getLWSAV(); + rwsav = e04wb.getRWSAV(); + + // CALL TO E04NCF + ifail = -1; + + /* Java needs these to be initialized, so set it to an impossible value + * to trap possible error later */ + iter = Integer.MIN_VALUE; + obj = Double.NaN; + + E04NC e04nc = new E04NC(m,n,nclin,ldc,lda,c,bl,bu,cvec,istate,kx,x,a,b,iter,obj, + clamda,iwork,liwork,work,lwork,lwsav,iwsav,rwsav,ifail); + e04nc.eval(); + + // Getting ifail's value back + ifail = e04nc.getIFAIL(); + + switch (ifail) { + case 0: + case 1: + case 2: + case 3: + case 4: + case 5: + case 7: + System.out.println("\n Varbl Istate Value Lagr Mult\n"); + + for (i = 0; i < n; ++i) { + System.out.printf(" V %3d %3d %14.3E %12.3E\n",(i+1), istate[i],x[i], clamda[i]); + } + + if (nclin > 0) { + DGEMV dgemv = new DGEMV(); + dgemv.eval("N",nclin,n,one,c,ldc,x,inc1,zero,work,inc1); + System.out.println("\n\n L Con Istate Value Lagr Mult\n"); + for (int ii = 0; ii < nclin; ++ii) { + System.out.printf(" L %3d %3d %14.3E %12.3E\n", + ii+1,istate[ii+n],work[ii],clamda[ii+n]); + } + } + + System.out.printf("\n\n Final objective value = %15.3E\n",e04nc.getOBJ()); + break; + default: + if (ifail > 7) { + System.out.println(" Varbl Istate Value Lagr Mult"); + for (i = 0; i < n; ++i) { + System.out.printf(" V %3d %3d %14.3E %12.3E)\n",(i+1), istate[i],x[i], clamda[i]); + } + + if (nclin > 0) { + DGEMV dgemv = new DGEMV(); + dgemv.eval("N",nclin,n,one,c,ldc,x,inc1,zero,work,inc1); + System.out.println(" L Con Istate Value Lagr Mult"); + for (int ii = 0; ii < nclin; ++ii) { + System.out.printf(" L %3d %3d %14.3E %12.3E\n", + ii+1,istate[ii+n],work[ii],clamda[ii+n]); + } + } + + System.out.printf("Final objective value is: %15.7f\n",e04nc.getOBJ()); + } + else { + System.out.println("E04NC returned with IFAIL = "+e04nc.getIFAIL()); + } + } + } + catch (Exception ex) { + Logger.getLogger(E04NCJE.class.getName()).log(Level.SEVERE, null, ex); + } + + } + +} diff --git a/simple_examples/source/int32/E04NFJE.java b/simple_examples/source/int32/E04NFJE.java new file mode 100644 index 0000000..e341f9f --- /dev/null +++ b/simple_examples/source/int32/E04NFJE.java @@ -0,0 +1,234 @@ +import com.nag.routines.E04.E04NF; +import com.nag.routines.E04.E04NH; +import com.nag.routines.E04.E04WB; +import com.nag.routines.E04.E54NFU; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.text.NumberFormat; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * E04NF example program text. + */ +public class E04NFJE { + + public static void main(String[] args) { + + /* Local Scalars */ + double obj; + int i, ifail, iter, lda, ldh, liwork, lwork, n, nclin, sda; + /* Local Arrays */ + double[] a, ax, bl, bu, clamda, cvec, h, work, x; + int[] istate, iwork; + + try { + + System.out.println(" E04NFJ Example Program Results"); + + if (args.length == 0) { + System.err.println("You need to provide the path to the data file e04nfae.d"); + System.exit(-1); + } + + // Read data from file + DataFile datafile = new DataFile(args[0]); + datafile.read(); + + liwork = 2 * datafile.n + 3; + lda = Math.max(1, datafile.nclin); + + sda = (datafile.nclin > 0) ? datafile.n : 1; + + // This particular example problem is of type QP2 with H stored explicitly, + // so we allocate CVEC(N) and H(LDH,N), and define LDH and LWORK as below + ldh = datafile.n; + + if (datafile.nclin > 0) { + lwork = 2 * datafile.n * datafile.n + 8 * datafile.n + 5 * datafile.nclin; + } + else { + lwork = datafile.n * datafile.n + 8 * datafile.n; + } + + istate = new int[datafile.n + datafile.nclin]; + ax = new double[Math.max(1, datafile.nclin)]; + iwork = new int[liwork]; + // h, bl, bu, cvec, x, a: already read from data file + clamda = new double[datafile.n + datafile.nclin]; + work = new double[lwork]; + + // Init routine + E04WB e04wb = new E04WB(); + int lcwsav = 1, liwsav = 610, llwsav = 120, lrwsav = 475; + String[] cwsav = new String[lcwsav]; + cwsav[0] + = " "; + int[] iwsav = new int[liwsav]; + boolean[] lwsav = new boolean[llwsav]; + double[] rwsav = new double[lrwsav]; + ifail = 0; + e04wb.eval("E04NFA", cwsav, lcwsav, lwsav, llwsav, iwsav, liwsav, rwsav, lrwsav, ifail); + + // Set print level to match E04NFF example output + E04NH e04nh = new E04NH(); + int inform = 0; + e04nh.eval("Print Level = 10", lwsav, iwsav, rwsav, inform); + + // Solve the problem + E04NF e04nf = new E04NF(); + double[] ruser = new double[1]; + int[] iuser = new int[1]; + iter = 0; + obj = Double.NaN; + ifail = 0; + e04nf.eval(datafile.n, datafile.nclin, datafile.a, datafile.lda, datafile.bl, + datafile.bu, datafile.cvec, datafile.h, datafile.ldh, new QPHESS(), istate, + datafile.x, iter, obj, ax, clamda, iwork, liwork, work, lwork, + iuser, ruser, lwsav, iwsav, rwsav, ifail); + + ifail = e04nf.getIFAIL(); + + } + catch (Exception ex) { + Logger.getLogger(E04NFJE.class.getName()).log(Level.SEVERE, null, ex); + } + + } + + /** Using E54NFU as a default. */ + public static class QPHESS extends E54NFU implements E04NF.E04NF_QPHESS { + + public void eval() { + super.eval(); + } + + } + + public static class DataFile { + + public String filename; + public int n, nclin, lda, sda, ldh; + public double[] cvec, a, bl, bu, x, h; + + public DataFile(String filename) { + this.filename = filename; + } + + public void read() throws FileNotFoundException, IOException { + BufferedReader dataIn = new BufferedReader(new FileReader(filename)); + String line = dataIn.readLine(); // skipping header + line = dataIn.readLine().trim(); + String[] lines = line.split(":");//removing comments + String[] dataLine = lines[0].split("\\s+"); + if (dataLine.length != 2) { + System.err.println("Something went wrong when reading the data file" + + " - can't read n and nclin!"); + System.exit(1); + } + n = Integer.parseInt(dataLine[0]); + nclin = Integer.parseInt(dataLine[1]); + + lda = Math.max(1, nclin); + + if (nclin > 0) { + sda = n; + } + else { + sda = 1; + } + ldh = n; + + cvec = new double[n]; + a = new double[lda * sda]; + bl = new double[n + nclin]; + bu = new double[n + nclin]; + x = new double[n]; + h = new double[ldh * n]; + + //reading cvec + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for cvec"); + System.exit(1); + } + + for (int i = 0; i < n; ++i) { + cvec[i] = Double.parseDouble(dataLine[i].trim().replaceAll("D", "E")); + } + + //reading a + for (int i = 0; i < lda; ++i) { + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != sda) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for a"); + System.exit(1); + } + for (int j = 0; j < sda; ++j) { + a[i + j * lda] = Double.parseDouble(dataLine[j].trim().replaceAll("D", "E")); + } + } + + //reading bl + //it's on two lines in the data file, so we need to merge them + line = dataIn.readLine().trim().split(":")[0].trim() + " " + + dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n + nclin) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for bl"); + System.exit(1); + } + for (int i = 0; i < n + nclin; ++i) { + bl[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + //reading bu + //it's on two lines in the data file, so we need to merge them + line = dataIn.readLine().trim().split(":")[0].trim() + " " + + dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n + nclin) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for bu"); + System.exit(1); + } + for (int i = 0; i < n + nclin; ++i) { + bu[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for x"); + System.exit(1); + } + for (int i = 0; i < n; ++i) { + x[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + for (int i = 0; i < ldh; ++i) { + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for h at line " + i); + System.exit(1); + } + for (int j = 0; j < n; ++j) { + h[i + j * ldh] = Double.parseDouble(dataLine[j].replaceAll("D", "E")); + } + } + + + } + } + +} diff --git a/simple_examples/source/int32/E04NKJE.java b/simple_examples/source/int32/E04NKJE.java new file mode 100644 index 0000000..604ee66 --- /dev/null +++ b/simple_examples/source/int32/E04NKJE.java @@ -0,0 +1,295 @@ +import com.nag.routines.E04.E04NK; +import com.nag.routines.E04.E04WB; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * E04NKJ Example Program Text + * @author willa + * @since 27.1.0.0 + */ +public class E04NKJE{ + private static int lcwsav = 1; + private static int liwsav = 380; + private static int llwsav = 20; + private static int lrwsav = 285; + + /** + * E04NKJ Example main program. + */ + public static void main(String[] args){ + double obj, sinf; + int icol, ifail, iobj, jcol, leniz, lenz, m, miniz, minz, n, ncolh, ninf, nname, nnz, ns, i; + String start; + double[] a, bl, bu, clamda, xs, z, ruser, rwsav; + int[] ha, istate, iz, ka, iuser, iwsav; + boolean[] lwsav; + String[] crname, cwsav, names; + + System.out.println("E04NKJ Example Program Results"); + + ruser = new double[1]; + rwsav = new double[lrwsav]; + iuser = new int[1]; + iwsav = new int[liwsav]; + + cwsav = new String[lcwsav]; + //equivalent to ```Character (80) :: cwsav(lcwsav)``` + for(i = 0; i < lcwsav; i++){ + char[] chars = new char[80]; + Arrays.fill(chars, ' '); + cwsav[i] = new String(chars); + } + names = new String[5]; + //names all blank anyway this time + for(i = 0; i < 5; i++){ + char[] chars = new char[8]; + Arrays.fill(chars, ' '); + names[i] = new String(chars); + } + + //dummy arrays + crname = new String[0]; + + n = 7; + m = 8; + nnz = 48; + iobj = 8; + ncolh = 7; + start = "C"; + nname = 15; + + ha = new int[nnz]; + ka = new int[n + 1]; + istate = new int[n + m]; + a = new double[nnz]; + bl = new double[n + m]; + bu = new double[n + m]; + xs = new double[n + m]; + clamda = new double[n + m]; + crname = new String[nname]; + lwsav = new boolean[llwsav]; + + names[0] = " "; + names[1] = " "; + names[2] = " "; + names[3] = " "; + names[4] = " "; + + crname[0] = "...X1..."; + crname[1] = "...X2..."; + crname[2] = "...X3..."; + crname[3] = "...X4..."; + crname[4] = "...X5..."; + crname[5] = "...X6..."; + crname[6] = "...X7..."; + crname[7] = "..ROW1.."; + crname[8] = "..ROW2.."; + crname[9] = "..ROW3.."; + crname[10] = "..ROW4.."; + crname[11] = "..ROW5.."; + crname[12] = "..ROW6.."; + crname[13] = "..ROW7.."; + crname[14] = "..COST.."; + + //Matrix A. Set up KA + jcol = 1; + ka[0] = 1; + + a[0] = 0.02; ha[0] = 7; + a[1] = 0.02; ha[1] = 5; + a[2] = 0.03; ha[2] = 3; + a[3] = 1.00; ha[3] = 1; + a[4] = 0.70; ha[4] = 6; + a[5] = 0.02; ha[5] = 4; + a[6] = 0.15; ha[6] = 2; + a[7] = -200.00; ha[7] = 8; + a[8] = 0.06; ha[8] = 7; + a[9] = 0.75; ha[9] = 6; + a[10] = 0.03; ha[10] = 5; + a[11] = 0.04; ha[11] = 4; + a[12] = 0.05; ha[12] = 3; + a[13] = 0.04; ha[13] = 2; + a[14] = 1.00; ha[14] = 1; + a[15] = -2000.00; ha[15] = 8; + a[16] = 0.02; ha[16] = 2; + a[17] = 1.00; ha[17] = 1; + a[18] = 0.01; ha[18] = 4; + a[19] = 0.08; ha[19] = 3; + a[20] = 0.08; ha[20] = 7; + a[21] = 0.80; ha[21] = 6; + a[22] = -2000.00; ha[22] = 8; + a[23] = 1.00; ha[23] = 1; + a[24] = 0.12; ha[24] = 7; + a[25] = 0.02; ha[25] = 3; + a[26] = 0.02; ha[26] = 4; + a[27] = 0.75; ha[27] = 6; + a[28] = 0.04; ha[28] = 2; + a[29] = -2000.00; ha[29] = 8; + a[30] = 0.01; ha[30] = 5; + a[31] = 0.80; ha[31] = 6; + a[32] = 0.02; ha[32] = 7; + a[33] = 1.00; ha[33] = 1; + a[34] = 0.02; ha[34] = 2; + a[35] = 0.06; ha[35] = 3; + a[36] = 0.02; ha[36] = 4; + a[37] = -2000.00; ha[37] = 8; + a[38] = 1.00; ha[38] = 1; + a[39] = 0.01; ha[39] = 2; + a[40] = 0.01; ha[40] = 3; + a[41] = 0.97; ha[41] = 6; + a[42] = 0.01; ha[42] = 7; + a[43] = 400.00; ha[43] = 8; + a[44] = 0.97; ha[44] = 7; + a[45] = 0.03; ha[45] = 2; + a[46] = 1.00; ha[46] = 1; + a[47] = 400.00; ha[47] = 8; + + ka[1] = 9; + ka[2] = 17; + ka[3] = 24; + ka[4] = 31; + ka[5] = 39; + ka[6] = 45; + ka[7] = 49; + + bl[0] = 0.0; + bl[1] = 0.0; + bl[2] = 4.0e2; + bl[3] = 1.0e2; + bl[4] = 0.0; + bl[5] = 0.0; + bl[6] = 0.0; + bl[7] = 2.0e3; + bl[8] = -1.0e25; + bl[9] = -1.0e25; + bl[10] = -1.0e25; + bl[11] = -1.0e25; + bl[12] = 1.5e3; + bl[13] = 2.5e2; + bl[14] = -1.0e25; + + bu[0] = 2.0e2; + bu[1] = 2.5e3; + bu[2] = 8.0e2; + bu[3] = 7.0e2; + bu[4] = 1.5e3; + bu[5] = 1.0e25; + bu[6] = 1.0e25; + bu[7] = 2.0e3; + bu[8] = 6.0e1; + bu[9] = 1.0e2; + bu[10] = 4.0e1; + bu[11] = 3.0e1; + bu[12] = 1.0e25; + bu[13] = 3.0e2; + bu[14] = 1.0e25; + + istate[0] = 0; + istate[1] = 0; + istate[2] = 0; + istate[3] = 0; + istate[4] = 0; + istate[5] = 0; + istate[6] = 0; + istate[7] = 0; + + xs[0] = 0.0; + xs[1] = 0.0; + xs[2] = 0.0; + xs[3] = 0.0; + xs[4] = 0.0; + xs[5] = 0.0; + xs[6] = 0.0; + xs[7] = 0.0; + + ifail = 0; + E04WB e04wb = new E04WB("E04NKA",cwsav,lcwsav,lwsav,llwsav,iwsav,liwsav,rwsav, + lrwsav,ifail); + e04wb.eval(); + + leniz = 1; + lenz = 1; + iz = new int[leniz]; + z = new double[lenz]; + + QPHX qphx = new QPHX(); + + ifail = 1; + + //placeholders + ns = 0; + miniz = 0; + minz = 0; + ninf = 0; + sinf = 0.0; + obj = 0.0; + + E04NK e04nk = new E04NK(n,m,nnz,iobj,ncolh,qphx,a,ha,ka,bl,bu,start,names,nname, + crname,ns,xs,istate,miniz,minz,ninf,sinf,obj,clamda,iz, + leniz,z,lenz,iuser,ruser,lwsav,iwsav,rwsav,ifail); + e04nk.eval(); + ifail = e04nk.getIFAIL(); + + minz = e04nk.getMINZ(); + miniz = e04nk.getMINIZ(); + + lenz = minz; + leniz = miniz; + + iz = new int[leniz]; + z = new double[lenz]; + + ifail = -1; + + e04nk.eval(n,m,nnz,iobj,ncolh,qphx,a,ha,ka,bl,bu,start,names,nname,crname,ns,xs, + istate,miniz,minz,ninf,sinf,obj,clamda,iz,leniz,z,lenz,iuser,ruser, + lwsav,iwsav,rwsav,ifail); + + //update + ifail = e04nk.getIFAIL(); + obj = e04nk.getOBJ(); + + if(ifail == 0){ + System.out.println(); + System.out.println("\tVariable Istate Value Lagr Mult"); + System.out.println(); + + for(i = 0; i < n; i++){ + System.out.printf("\t%s\t%d\t%.6g\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); + } + + if(m > 0){ + System.out.println(); + System.out.println(); + System.out.println("\tConstrnt Istate Value\t\t Lagr Mult"); + System.out.println(); + + for(i = n; i < n + m - 1; i++){ + System.out.printf("\t%s\t%d\t%.6g\t\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); + } + System.out.printf("\t%s\t%d\t%.6g\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); + } + + System.out.println(); + System.out.println(); + System.out.printf("Final objetive value = %15.7g\n", obj); + } + + } + + public static class QPHX extends E04NK.Abstract_E04NK_QPHX{ + public void eval(){ + this.HX[0] = 2 * this.X[0]; + this.HX[1] = 2 * this.X[1]; + this.HX[2] = 2 * (this.X[2] + this.X[3]); + this.HX[3] = this.HX[2]; + this.HX[4] = 2 * this.X[4]; + this.HX[5] = 2 * (this.X[5] + this.X[6]); + this.HX[6] = this.HX[5]; + } + } +} diff --git a/simple_examples/source/int32/E04NQJE.java b/simple_examples/source/int32/E04NQJE.java new file mode 100644 index 0000000..6cf84fe --- /dev/null +++ b/simple_examples/source/int32/E04NQJE.java @@ -0,0 +1,384 @@ +import com.nag.routines.E04.E04NP; +import com.nag.routines.E04.E04NQ; +import com.nag.routines.E04.E04NT; +import java.io.BufferedReader; +import java.io.File; +import java.io.FileReader; +import java.io.IOException; +import java.util.Arrays; + +/** + * E04NQ example program text. + */ +public class E04NQJE { + + public static final int LENCW = 600; + public static final int LENIW = 600; + public static final int LENRW = 600; + public static final int NIN = 5; + public static final int NOUT = 6; + + public static void main(String[] args) throws IOException { + + /* Local Scalars */ + double obj, objadd, sinf; + int i, icol, ifail, iobj, jcol, lenc, m, n, ncolh, ne, ninf, nname, ns; + boolean verboseOutput; + String prob; // Length = 8 + String start; // Length = 1 + /* Local Arrays */ + double[] acol, bl, bu, c, pi, rc, x; + double[] ruser = new double[1], rw = new double[LENRW]; + int[] helast, hs, inda, loca; + int[] iuser = new int[1], iw = new int[LENIW]; + String[] cuser = new String[1], cw = new String[LENCW]; // Length = 8 + String[] names; // Length = 8 + /* Init String arrays with same length*/ + Arrays.fill(cuser, " "); + Arrays.fill(cw, " "); + + System.out.println(" E04NQJ Example Program Results"); + + /* Read data file */ + + if (args.length != 1) { + usage(); + } + BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); + String line; + + // Skip heading in data file + line = dataIn.readLine(); + + // Read n, m + line = dataIn.readLine(); + String[] data = line.split(":")[0].trim().split("\\s+"); + if (data.length != 2) { + System.out.println("Data file badly formatted - expected 2 ints separated by blank spaces.\n" + + line + "\n"+Arrays.toString(data)); + System.exit(1); + } + n = Integer.parseInt(data[0]); + m = Integer.parseInt(data[1]); + + // Read ne, iobj, ncolh, start, nname + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + if (data.length != 5) { + System.out.println("Data file badly formatted - expected 5 ints separated by blank spaces"); + System.exit(1); + } + ne = Integer.parseInt(data[0]); + iobj = Integer.parseInt(data[1]); + ncolh = Integer.parseInt(data[2]); + start = data[3].replaceAll("'",""); + nname = Integer.parseInt(data[4]); + + // Allocate + inda = new int[ne]; + loca = new int[n+1]; + helast = new int[n+m]; + hs = new int[n+m]; + acol = new double[ne]; + bl = new double[n+m]; + bu = new double[n+m]; + x = new double[n+m]; + pi = new double[m]; + rc = new double[n+m]; + names = new String[nname]; + + // Read names + line = dataIn.readLine(); // skipping blank line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + int nameIndex = 0; + int dataIndex = 0; + while (nameIndex < nname) { + names[nameIndex] = data[dataIndex].replaceAll("'", ""); + ++nameIndex; + ++dataIndex; + if (nameIndex < nname && dataIndex == data.length) { + //need to read one more line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + dataIndex = 0; + } + } + + // Read matrix + line = dataIn.readLine(); // skipping blank line + int locaIndex = 0; + int currentCol = 0; + for (i = 0; i < ne; ++i) { + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + if (data.length != 3) { + System.out.println("The line is not well formatted for input of A:\n\t"+line); + System.exit(1); + } + acol[i] = Double.parseDouble(data[0].replaceAll("d", "e").replaceAll("D", "e")); + inda[i] = Integer.parseInt(data[1]); + if (i == 0) { + loca[locaIndex] = 1;//storing for Fortran use: 1-based + ++locaIndex; + ++currentCol; + } + else { + int tmp = Integer.parseInt(data[2]); + if (tmp != currentCol) { + loca[locaIndex] = i+1; + ++currentCol; + ++locaIndex; + } + } + } + loca[n] = ne + 1; + + // Read bl + line = dataIn.readLine(); // skipping blank line + int blindex = 0; + dataIndex = 0; + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + while (blindex < bl.length) { + bl[blindex] = Double.parseDouble(data[dataIndex].replaceAll("d", "e").replaceAll("D", "e")); + ++blindex; + ++dataIndex; + if (blindex < bl.length && dataIndex == data.length) { + //need to read one more line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + dataIndex = 0; + } + } + + // Read bu + line = dataIn.readLine(); // skipping blank line + int buindex = 0; + dataIndex = 0; + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + while (buindex < bu.length) { + bu[buindex] = Double.parseDouble(data[dataIndex].replaceAll("d", "e").replaceAll("D", "e")); + ++buindex; + ++dataIndex; + if (buindex < bu.length && dataIndex == data.length) { + //need to read one more line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + dataIndex = 0; + } + } + + // Read hs + line = dataIn.readLine(); // skipping blank line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + if (start.equalsIgnoreCase("C")) { + if (data.length != n) { + System.out.println("Wrong format for HS data.\n"); + System.exit(1); + } + } + else { + if (data.length != n+m) { + System.out.println("Wrong format for HS data.\n"); + System.exit(1); + } + } + for (i = 0; i < data.length; ++i) { + hs[i] = Integer.parseInt(data[i]); + } + + // Read x + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + if (data.length != n) { + System.out.println("Wrong format for X data."); + System.exit(1); + } + for (i = 0; i < data.length; ++i) { + x[i] = Double.parseDouble(data[i].replaceAll("d", "e").replaceAll("D", "e")); + } + + /* Done reading data file */ + + System.out.printf(" \n QP problem contains %3d variables and %3d linear constraints\n", n, m); + + /* Call E04NP to initialize E04NQ. */ + E04NP e04np = new E04NP(); + ifail = 0; + e04np.eval(cw,LENCW,iw,LENIW,rw,LENRW,ifail); + + /* Set this to .True. to cause e04nqf to produce intermediate + * progress output. */ + verboseOutput = true; + + if (verboseOutput) { + /* By default e04nqf does not print monitoring + * information. Set the print file unit or the summary + * file unit to get information. */ + E04NT e04nt = new E04NT(); + ifail = 0; + e04nt.eval("Print file", NOUT, cw, iw, rw, ifail); + } + + /* We have no explicit objective vector so set LENC = 0; the + * objective vector is stored in row IOBJ of ACOL. */ + lenc = 0; + c = new double[Math.max(1,lenc)]; + objadd = 0.0; + sinf = 0.0; + obj = Double.NaN; + prob = " "; + + /* Do not allow any elastic variables (i.e. they cannot be + * infeasible). If we'd set optional argument "Elastic mode" to 0, + * we wouldn't need to set the individual elements of array HELAST. */ + + for (int j = 0; j < (n+m); j++) { + helast[j] = 0; + } + + /* Solve the QP problem. */ + + E04NQ e04nq = new E04NQ(); + ifail = 0; + ns = 0; + ninf = 0; + e04nq.eval(start,new QPHX(ncolh),m,n,ne,nname,lenc,ncolh,iobj,objadd,prob,acol, + inda,loca,bl,bu,c,names,helast,hs,x,pi,rc,ns,ninf,sinf,obj,cw,LENCW, + iw,LENIW,rw,LENRW,cuser,iuser,ruser,ifail); + + System.out.println(); + System.out.printf(" Final objective value = %11.3E\n",e04nq.getOBJ()); + System.out.print(" Optimal X = "); + for (i = 0; i < n; ++i) { + System.out.printf("%9.2f ", x[i]); + } + System.out.println(); + + } + + private static void usage() { + System.out.println("Usage:\n" + + "\tjava -cp " + File.separator + "NAGJava.jar" + File.pathSeparator + + ". E04NQJE " + File.separator + "e04nqfe.d"); + System.exit(1); + } + + public static class QPHX implements E04NQ.E04NQ_QPHX { + + private int NCOLHREF; + + public QPHX(int NCOLHREF) { + this.NCOLHREF = NCOLHREF; + } + + // @Override + public void eval(int NCOLH, double[] X, double[] HX, int NSTATE, + String[] CUSER, int[] IUSER, double[] RUSER) { + + if (NCOLH != NCOLHREF) { + System.out.println("NCOLH value is wrong!"); + System.out.println("TEST FAILED"); + System.exit(1); + } + HX[0] = 2.0*X[0]; + HX[1] = 2.0*X[1]; + HX[2] = 2.0*(X[2]+X[3]); + HX[3] = HX[2]; + HX[4] = 2.0*X[4]; + HX[5] = 2.0*(X[5]+X[6]); + HX[6] = HX[5]; + + } + + private String[] CUSER; + private double[] HX,RUSER,X; + private int[] IUSER; + private int NCOLH, NSTATE; + + // @Override + public String[] getCUSER() { + return CUSER; + } + + // @Override + public double[] getHX() { + return HX; + } + + // @Override + public int[] getIUSER() { + return IUSER; + } + + // @Override + public int getNCOLH() { + return NCOLH; + } + + // @Override + public int getNSTATE() { + return NSTATE; + } + + // @Override + public double[] getRUSER() { + return RUSER; + } + + // @Override + public double[] getX() { + return X; + } + + // @Override + public void setCUSER(String[] arg0) { + CUSER = arg0; + + } + + // @Override + public void setHX(double[] arg0) { + HX = arg0; + + } + + // @Override + public void setIUSER(int[] arg0) { + IUSER = arg0; + + } + + // @Override + public void setNCOLH(int arg0) { + NCOLH = arg0; + + } + + // @Override + public void setNSTATE(int arg0) { + NSTATE = arg0; + + } + + // @Override + public void setRUSER(double[] arg0) { + RUSER = arg0; + + } + + // @Override + public void setX(double[] arg0) { + X = arg0; + + } + + } + + + + +} diff --git a/simple_examples/source/int32/E04PTJE.java b/simple_examples/source/int32/E04PTJE.java new file mode 100644 index 0000000..75303ac --- /dev/null +++ b/simple_examples/source/int32/E04PTJE.java @@ -0,0 +1,344 @@ +import com.nag.routines.E04.E04PT; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RB; +import com.nag.routines.E04.E04RE; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RJ; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.F08.DSYEVD; +import java.util.Arrays; + +/** + * E04PTJ example program text. + * @author joed + * @since 27.0.0.0 + */ +public class E04PTJE { + + + /** + * Monitoring function can be used to monitor the progress + * or, for example, to implement bespoke stopping criteria. + */ + private static class MONIT extends E04PT.Abstract_E04PT_MONIT { + + public void eval() { + + double tol = RUSER[0]; + int tolReached = IUSER[1]; + + // If x is close to the solution, print a message + if ((RINFO[14] < tol) && (RINFO[15] < tol) && (RINFO[16] < tol) && (RINFO[17] < tol)) { + if (tolReached == 0) { + System.out.println(); + System.out.printf("monit() reports good approximate solution (tol = %9.2E)\n", tol); + IUSER[1] = 1; + } + } + + } + + } + + + /** + * E04PTJ example main program. + */ + public static void main(String[] args) { + + DSYEVD dsyevd = new DSYEVD(); + E04PT e04pt = new E04PT(); + E04RA e04ra = new E04RA(); + E04RB e04rb = new E04RB(); + E04RE e04re = new E04RE(); + E04RH e04rh = new E04RH(); + E04RJ e04rj = new E04RJ(); + E04RZ e04rz = new E04RZ(); + E04ZM e04zm = new E04ZM(); + MONIT monit = new MONIT(); + + final int nqc = 1; + long cpuser, handle; + double r1; + int i, idgroup, idlc, idxa, ifail, j, liwork, lwork, m, n, na, nnza, nnzp0, + nnzp1, nnzu, nnzuc, nu, nv, nvarc1, nvarc2, rptr, xIdx; + boolean verboseOutput; + String ctype1, ctype2; // Length must be 8 + double[] a, bla, bua, c, f0, f1, lambda0, lambda1, p0, p1, q0, q1, u, uc, + work, x, xl, xu; + double[] rinfo = new double[100], ruser = new double[1], stats = new double[100]; + int[] icola, icolp0, icolp1, idxc1, idxc2, irowa, irowp0, irowp1, iwork; + int[] iuser = new int[2]; + + System.out.println("E04PTJ Example Program Results\n"); + + // Dimensions of the problem + n = 3; + nnzp0 = 6; + nnzp1 = 6; + + // Initialize size of linear constraints in SOCP + m = nqc; + na = n + nqc + 1; + nnza = nqc + n; + + // Initialize size of cone constraints + nvarc1 = 2; + nvarc2 = 2; + + // Set problem data + lwork = Math.max(2*n*n+6*n+1, 120+9*n); + liwork = 5*n + 3; + irowp0 = new int[]{1, 2, 3, 2, 3, 3}; + icolp0 = new int[]{1, 1, 1, 2, 2, 3}; + p0 = new double[]{0.493, 0.382, 0.270, 0.475, 0.448, 0.515}; + irowp1 = new int[]{1, 2, 3, 2, 3, 3}; + icolp1 = new int[]{1, 1, 1, 2, 2, 3}; + p1 = new double[]{0.737, 0.453, 1.002, 0.316, 0.635, 1.590}; + q0 = new double[]{0.847, 0.08, 0.505}; + q1 = new double[]{0.065, 0.428, 0.097}; + r1 = 1.276; + f0 = new double[n*n]; + f1 = new double[n*n]; + lambda0 = new double[n]; + lambda1 = new double[n]; + work = new double[lwork]; + iwork = new int[liwork]; + + // Store full P0 and P1 in F0 and F1 + Arrays.fill(f0, 0.0); + for (i = 0; i < nnzp0; i++) { + f0[getIdx(irowp0[i], icolp0[i], n)] = p0[i]; + } + Arrays.fill(f1, 0.0); + for (i = 0; i < nnzp1; i++) { + f1[getIdx(irowp1[i], icolp1[i], n)] = p1[i]; + } + + // Factorize P0 and P1 via eigenvalue decomposition + ifail = 0; + dsyevd.eval("V", "L", n, f0, n, lambda0, work, lwork, iwork, liwork, ifail); + dsyevd.eval("V", "L", n, f1, n, lambda1, work, lwork, iwork, liwork, ifail); + + // Fomulate F0 and F1 in P0 = F0'*F0, P1 = F1'*F1 + nu = 0; + nv = 0; + for (i = 1; i <= n; i++) { + if (lambda0[i-1] > 0) { + for (j = 1; j <= n; j++) { + f0[getIdx(j,i,n)] *= Math.sqrt(lambda0[i-1]); + } + m++; + nu++; + nnza += n; + } + if (lambda1[i-1] > 0) { + for (j = 1; j <= n; j++) { + f1[getIdx(j,i,n)] *= Math.sqrt(lambda1[i-1]); + } + m++; + nv++; + nnza += n; + } + } + nnza += nu + nv; + na += nu+ nv; + nvarc1 += nu; + nvarc2 += nv; + + // Add two fixed variable for two rotated quadratic cones + na += 2; + m += 2; + nnza += 2; + + // Compute size of multipliers + nnzu = 2*na + 2*m; + nnzuc = nvarc1 + nvarc2; + + // Initialize arrays to build SOCP + icola = new int[nnza]; + irowa = new int[nnza]; + a = new double[nnza]; + bla = new double[m]; + bua = new double[m]; + xl = new double[na]; + xu = new double[na]; + c = new double[na]; + x = new double[na]; + u = new double[nnzu]; + uc = new double[nnzuc]; + idxc1 = new int[nvarc1]; + idxc2 = new int[nvarc2]; + + // Build objective function parameter c + // [x, t1, u, v, y1, y2, t0] + Arrays.fill(c, 0.0); + for (j = 0; j < n; j++) { + c[j] = q0[j]; + } + c[na-1] = 1.0; + + // Build linear constraints parameter A + idxa = 0; + rptr = 0; + // q1 in First row + rptr++; + Arrays.fill(irowa, 0, n, rptr); + for (j = 0; j < n; j++) { + icola[j] = j+1; + a[j] = q1[j]; + } + idxa += n; + + // F0 in F0*x-u=0 row + for (i = 1; i <= n; i++) { + if (lambda0[i-1] > 0) { + rptr += 1; + for (j = 0; j < n; j++) { + irowa[idxa+j] = rptr; + icola[idxa+j] = j+1; + a[idxa+j] = f0[getIdx(j+1,i,n)]; + } + idxa += n; + } + } + // F1 in F1*x-v=0 row + for (i = 1; i <= n; i++) { + if (lambda1[i-1] > 0) { + rptr += 1; + for (j = 0; j < n; j++) { + irowa[idxa+j] = rptr; + icola[idxa+j] = j+1; + a[idxa+j] = f1[getIdx(j+1,i,n)]; + } + idxa += n; + } + } + // Rest of A, a diagonal matrix + for (j = 0; j < m; j++) { + irowa[idxa+j] = j+1; + icola[idxa+j] = n+j+1; + a[idxa+j] = 1.0; + } + for (j = 1; j < (nu+nv+1); j++) { + a[idxa+j] = -1.0; + } + // RHS in linear constraints + Arrays.fill(bla, 0.0); + Arrays.fill(bua, 0.0); + bla[0] = -r1; + bua[0] = -r1; + for (j = (m-nqc); j <= m; j++) { + bla[j-1] = 1.0; + bua[j-1] = 1.0; + } + + // Box constraints, all variables are free + Arrays.fill(xl, -1E+20); + Arrays.fill(xu, 1E+20); + + // Cone constraints + // First cone + idxc1[0] = na; + idxc1[1] = n + 1 + nu + nv + 1; + for (j = 2; j < nvarc1; j++) { + idxc1[j] = n + j; + } + ctype1 = "RQUAD "; + // Second cone + idxc2[0] = n + 1; + idxc2[1] = n + 1 + nu + nv + 2; + for (j = 2; j < nvarc2; j++) { + idxc2[j] = n + nu + j; + } + ctype2 = "RQUAD "; + + // Create the problem handle + handle = 0; + ifail = 0; + e04ra.eval(handle, na, ifail); + handle = e04ra.getHANDLE(); + + // Set objective function + ifail = 0; + e04re.eval(handle, na, c, ifail); + + // Set box constraints + ifail = 0; + e04rh.eval(handle, na, xl, xu, ifail); + + // Set linear constraints + ifail = 0; + idlc = 0; + e04rj.eval(handle, m, bla, bua, nnza, irowa, icola, a, idlc, ifail); + idlc = e04rj.getIDLC(); + + // Set first cone constraint + ifail = 0; + idgroup = 0; + e04rb.eval(handle, ctype1, nvarc1, idxc1, idgroup, ifail); + idgroup = e04rb.getIDGROUP(); + + // Set first cone constraint + ifail = 0; + idgroup = 0; + e04rb.eval(handle, ctype2, nvarc2, idxc2, idgroup, ifail); + idgroup = e04rb.getIDGROUP(); + + // Turn on monitoring + ifail = 0; + e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); + + /* Set this to true to cause e04pt to produce intermediate + * progress output */ + verboseOutput = false; + + if (verboseOutput) { + // Require printing of primal and dual solutions at the end of the solve + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + } + else { + // Turn off printing of intermediate progress output + ifail = 0; + e04zm.eval(handle, "Print Level = 1", ifail); + } + + // Call SOCP interior point solver + cpuser = 0; + iuser[0] = 0; // unused in this example + iuser[1] = 0; + ruser[0] = 1.0E-7; + ifail = -1; + e04pt.eval(handle, na, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, + ruser, cpuser, ifail); + ifail = e04pt.getIFAIL(); + + // Print solution if optimal or suboptimal solution found + if (ifail == 0 || ifail == 50) { + System.out.println(" Optimal X:"); + System.out.println(" x_idx Value "); + for (xIdx = 1; xIdx <= n; xIdx++) { + System.out.printf(" %5d %11.3E\n", xIdx, x[xIdx-1]); + } + } + + // Free the handle memory + ifail = 0; + e04rz.eval(handle, ifail); + + } + + + /** + * Convert from 2D Fortran index to 1D-column major Java index. + * @param x 1-based row index for a 2D array + * @param y 1-based column index for a 2D array + * @return the corresponding 0-based index for a 1D column-major array + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + +} diff --git a/simple_examples/source/int32/E04RPJE.java b/simple_examples/source/int32/E04RPJE.java new file mode 100644 index 0000000..d22d3d1 --- /dev/null +++ b/simple_examples/source/int32/E04RPJE.java @@ -0,0 +1,199 @@ +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RE; +import com.nag.routines.E04.E04RN; +import com.nag.routines.E04.E04RP; +import com.nag.routines.E04.E04RY; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04SV; + +/** + * E04RPJ Example Program Text + * @author willa + * @since 27.1.0.0 + */ + +public class E04RPJE{ + + /** + * E04RPJ Example main program + */ + public static void main(String[] args){ + int blkidx, dimaq, idblk, idlc, idx, idxend, ifail, inform, midx, nblk, nclin, + nnzasum, nnzb, nnzc, nnzh, nnzqsum, nnzu, nnzua, nnzuc, nq, nvar; + double[] a, b, bl, bu, cvec, h, q, x, rdummy, rinfo, stats; + int[] icola, icolb, icolh, icolq, idxc, irowa, irowb, irowh, irowq, nnza, + nnzq, qi, qj, idummy; + long cpuser, handle; + + rdummy = new double[1]; + rinfo = new double[32]; + stats = new double[32]; + idummy = new int[1]; + + System.out.println("E04RPJ Example Program Results"); + System.out.println(); + + //Problem size + nvar = 5; + nnzh = 0; + nclin = 0; + nnzb = 0; + nblk = 2; + + //Initialize handle to an empty problem + E04RA e04ra = new E04RA(); + handle = 0; + ifail = 0; + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + //Linear part of the objective function + cvec = new double[nvar]; + cvec[0] = 1; + cvec[1] = 0; + cvec[2] = 1; + cvec[3] = 0; + cvec[4] = 0; + + //Add the linear objetive function to the problem formulation + ifail = 0; + E04RE e04re = new E04RE(handle, nvar, cvec, ifail); + e04re.eval(); + + //Matrix inequalities + //block 1 + dimaq = 2; + nnzasum = 9; nnzqsum = 8; + idblk = 0; + + nnza = new int[nvar + 1]; + irowa = new int[nnzasum]; + icola = new int[nnzasum]; + a = new double[nnzasum]; + + nnza[0] = 2; + nnza[1] = 2; + nnza[2] = 3; + nnza[3] = 2; + nnza[4] = 0; + nnza[5] = 0; + + a[0] = 1.0; irowa[0] = 1; icola[0] = 1; + a[1] = 1.0; irowa[1] = 2; icola[1] = 2; + a[2] = 2.0; irowa[2] = 1; icola[2] = 1; + a[3] = -2.0; irowa[3] = 1; icola[3] = 2; + a[4] = 6.0; irowa[4] = 1; icola[4] = 1; + a[5] = 5.0; irowa[5] = 1; icola[5] = 2; + a[6] = -4.0; irowa[6] = 2; icola[6] = 2; + a[7] = 3.0; irowa[7] = 1; icola[7] = 2; + a[8] = 8.0; irowa[8] = 2; icola[8] = 2; + + idblk = 0; + ifail = 0; + //Add the linear matrix inequality to the problem formulation + E04RN e04rn = new E04RN(handle,nvar,dimaq,nnza,nnzasum,irowa,icola,a,1, + idummy,idblk,ifail); + e04rn.eval(); + //update + idblk = e04rn.getIDBLK(); + + nq = 6; + + qi = new int[nq]; + qj = new int[nq]; + nnzq = new int[nq]; + irowq = new int[nnzqsum]; + icolq = new int[nnzqsum]; + q = new double[nnzqsum]; + + qi[0] = 1; qj[0] = 4; + qi[1] = 2; qj[1] = 4; + qi[2] = 3; qj[2] = 4; + qi[3] = 1; qj[3] = 5; + qi[4] = 2; qj[4] = 5; + qi[5] = 3; qj[5] = 5; + + nnzq[0] = 1; + nnzq[1] = 2; + nnzq[2] = 1; + nnzq[3] = 1; + nnzq[4] = 2; + nnzq[5] = 1; + + q[0] = 2.0; irowq[0] = 1; icolq[0] = 1; + q[1] = 2.0; irowq[1] = 1; icolq[1] = 1; + q[2] = 1.0; irowq[2] = 1; icolq[2] = 2; + q[3] = 1.0; irowq[3] = 1; icolq[3] = 2; + q[4] = 1.0; irowq[4] = 1; icolq[4] = 2; + q[5] = 1.0; irowq[5] = 1; icolq[5] = 2; + q[6] = 2.0; irowq[6] = 2; icolq[6] = 2; + q[7] = 2.0; irowq[7] = 2; icolq[7] = 2; + + ifail = 0; + //Expand the existing linear matrix inequality with bilnear term + E04RP e04rp = new E04RP(handle,nq,qi,qj,dimaq,nnzq,nnzqsum,irowq,icolq, + q,idblk,ifail); + e04rp.eval(); + + //block 2 + dimaq = 2; + nnzasum = 5; + nnza = new int[nvar + 1]; + irowa = new int[nnzasum]; + icola = new int[nnzasum]; + a = new double[nnzasum]; + + nnza[0] = 2; + nnza[1] = 1; + nnza[2] = 1; + nnza[3] = 1; + nnza[4] = 0; + nnza[5] = 0; + + a[0] = 1.0; irowa[0] = 1; icola[0] = 1; + a[1] = 1.0; irowa[1] = 2; icola[1] = 2; + a[2] = 1.0; irowa[2] = 1; icola[2] = 1; + a[3] = 1.0; irowa[3] = 1; icola[3] = 2; + a[4] = 1.0; irowa[4] = 2; icola[4] = 2; + + idblk = 0; + ifail = 0; + //Add the linear matrix inequality to the problem formulation + e04rn = new E04RN(handle,nvar,dimaq,nnza,nnzasum,irowa,icola,a,1, + idummy,idblk,ifail); + e04rn.eval(); + + System.out.println("Passing SDP problem to solver"); + System.out.println(); + + ifail = 0; + //Print overview of handle + //nout = 6 is default output for fortran + E04RY e04ry = new E04RY(handle,6,"Overview,Matrix Constraints",ifail); + e04ry.eval(); + + //Allocate memory for the solver + x = new double[nvar]; + nnzu = 0; + nnzuc = 0; + nnzua = 0; + inform = 0; + for(int i = 0; i < nvar; i++){ + x[i] = 0.0; + } + + ifail = 0; + E04SV e04sv = new E04SV(handle,nvar,x,nnzu,rdummy,nnzuc,rdummy,nnzua,rdummy, + rinfo,stats,inform,ifail); + e04sv.eval(); + + //Destroy handle + ifail = 0; + E04RZ e04rz = new E04RZ(handle,ifail); + e04rz.eval(); + } + +} + + + diff --git a/simple_examples/source/int32/E04RSJE.java b/simple_examples/source/int32/E04RSJE.java new file mode 100644 index 0000000..d614fbb --- /dev/null +++ b/simple_examples/source/int32/E04RSJE.java @@ -0,0 +1,229 @@ +import com.nag.routines.E04.E04RS; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04PT; +import com.nag.routines.E04.E04RZ; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * E04RS + */ +public class E04RSJE { + + public static void main(String[] args) { + + final int nout = 6; + + long cpuser, handle = 0; + double s = 0.0; + int idqc, ifail, n = 0, nnzq0 = 0, nnzq1 = 0, nnzu, nnzuc, x_idx; + boolean verbose_output; + + double[] q0 = null, q1 = null, r0 = null, r1 = null, u, uc, x; + double[] rinfo = new double[100]; + double[] ruser = new double[1]; + double[] stats = new double[100]; + int[] icolq0 = null, icolq1 = null, idxr0 = null, idxr1 = null, irowq0 = null, irowq1 = null; + int[] iuser = new int[2]; + + System.out.println(" E04RSJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); // skip header + + // Read dimensions of the problem + line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + nnzq0 = Integer.parseInt(sVal[1]); + nnzq1 = Integer.parseInt(sVal[2]); + + // Allocate memory to read data + irowq0 = new int[nnzq0]; + icolq0 = new int[nnzq0]; + q0 = new double[nnzq0]; + irowq1 = new int[nnzq1]; + icolq1 = new int[nnzq1]; + q1 = new double[nnzq1]; + idxr0 = new int[n]; + r0 = new double[n]; + idxr1 = new int[n]; + r1 = new double[n]; + + // Read problem data + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq0; i++) { + irowq0[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq0; i++) { + icolq0[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq0; i++) { + q0[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq1; i++) { + irowq1[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq1; i++) { + icolq1[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq1; i++) { + q1[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < n; i++) { + idxr0[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < n; i++) { + r0[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < n; i++) { + idxr1[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < n; i++) { + r1[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + s = Double.parseDouble(sVal[0]); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Compute size of multipliers + // One quadratic constraint in the model will have + // 2 multipliers for both bounds + nnzu = 2; + // No cone constraint in the model, so set nnzuc to 0 + nnzuc = 0; + + // Allocate memory for final results + x = new double[n]; + u = new double[nnzu]; + uc = new double[nnzuc]; + + // Create the problem handle + ifail = 0; + E04RA e04ra = new E04RA(); + e04ra.eval(handle, n, ifail); + handle = e04ra.getHANDLE(); + + // Set objective function + idqc = -1; + ifail = 0; + E04RS e04rs = new E04RS(); + e04rs.eval(handle, 0.0, n, idxr0, r0, nnzq0, irowq0, icolq0, q0, idqc, ifail); + + // Set quadratic constraint + idqc = 0; + ifail = 0; + e04rs.eval(handle, s, n, idxr1, r1, nnzq1, irowq1, icolq1, q1, idqc, ifail); + + // Turn on monitoring + ifail = 0; + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); + + // Set this to True to cause e04ptf to produce intermediate progress output + verbose_output = false; + + if (verbose_output) { + // Require printing of primal and dual solutions at the end of the solve + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + } else { + // Turn off printing of intermediate progress output + ifail = 0; + e04zm.eval(handle, "Print Level = 1", ifail); + } + + // Call SOCP interior point solver + cpuser = 0; + iuser[0] = nout; + iuser[1] = 0; + ruser[0] = 1.0e-07; + ifail = -1; + E04PT e04pt = new E04PT(); + MONIT monit = new MONIT(); + e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + ifail = e04pt.getIFAIL(); + + // Print solution if optimal or suboptimal solution found + if ((ifail == 0) || (ifail == 50)) { + System.out.println(" Optimal X:"); + System.out.println(" x_idx Value "); + for (x_idx = 0; x_idx < n; x_idx++) { + System.out.printf(" %5d %11.3e\n", x_idx, x[x_idx]); + } + } + + // Free the handle memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + } + + public static class MONIT extends E04PT.Abstract_E04PT_MONIT { + + public void eval() { + double tol; + int nout, tol_reached; + + nout = this.IUSER[0]; + tol_reached = this.IUSER[1]; + tol = this.RUSER[0]; + + // If x is close to the solution, print a message + if ((this.RINFO[14] < tol) && (this.RINFO[15] < tol) && (this.RINFO[16] < tol) && (this.RINFO[17] < tol)) { + if (tol_reached == 0) { + System.out.printf("\n monit() reports good approximate solution (tol =%9.2e)\n", tol); + this.IUSER[1] = 1; + } + } + } + } +} diff --git a/simple_examples/source/int32/E04RTJE.java b/simple_examples/source/int32/E04RTJE.java new file mode 100644 index 0000000..dd4bce8 --- /dev/null +++ b/simple_examples/source/int32/E04RTJE.java @@ -0,0 +1,225 @@ +import com.nag.routines.E04.E04RT; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RJ; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04PT; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04RH; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * E04RT example program text. + */ +public class E04RTJE { + + public static void main(String[] args) { + + final int nout = 6; + + long cpuser, handle = 0; + int i, idlc, idqc, ifail, j, m = 0, n = 0, nnza = 0, nnzu, nnzuc, x_idx; + boolean verbose_output; + + double[] a = null, b = null, r0 = null, u, uc, x, xl = null, xu = null; + double[] lc = new double[3]; + double[] lc_rhs = new double[1]; + double[] rinfo = new double[100]; + double[] ruser = new double[1]; + double[] stats = new double[100]; + int[] icola = null, idxr0 = null, irowa = null; + int[] icollc = new int[3]; + int[] irowlc = new int[3]; + int[] iuser = new int[2]; + + System.out.println(" E04RTJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); // skip header + + // Read dimensions of the problem + line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + m = Integer.parseInt(sVal[1]); + nnza = Integer.parseInt(sVal[2]); + + // Allocate memory to read data + a = new double[nnza]; + icola = new int[nnza]; + irowa = new int[nnza]; + idxr0 = new int[n]; + r0 = new double[n]; + b = new double[m]; + xl = new double[n]; + xu = new double[n]; + + // Read problem data + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < nnza; i++) { + irowa[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < nnza; i++) { + icola[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < nnza; i++) { + a[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < m; i++) { + b[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + xl[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + xu[i] = Double.parseDouble(sVal[i]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Compute -2*b'A as linear term in quadratic function + for (j = 0; j < n; j++) { + r0[j] = 0.0; + idxr0[j] = j + 1; + } + for (i = 0; i < nnza; i++) { + r0[icola[i] - 1] = r0[icola[i] - 1] + a[i] * b[irowa[i] - 1]; + } + + // Compute size of multipliers + // One linear constraint in the model will have + // 2 multipliers for both bounds + nnzu = 2 * n + 2; + // No cone constraint in the model, so set nnzuc to 0 + nnzuc = 0; + + // Allocate memory for final results + x = new double[n]; + u = new double[nnzu]; + uc = new double[nnzuc]; + + // Create the problem handle + ifail = 0; + E04RA e04ra = new E04RA(); + e04ra.eval(handle, n, ifail); + handle = e04ra.getHANDLE(); + + // Set quadratic objective function + idqc = -1; + ifail = 0; + E04RT e04rt = new E04RT(); + e04rt.eval(handle, 0.0, n, idxr0, r0, m, nnza, irowa, icola, a, idqc, ifail); + + // Set box constraints + ifail = 0; + E04RH e04rh = new E04RH(); + e04rh.eval(handle, n, xl, xu, ifail); + + // Set linear constraint: x1 + x2 + x3 = 1 + for (j = 0; j < n; j++) { + irowlc[j] = 1; + icollc[j] = j + 1; + lc[j] = 1.0; + } + lc_rhs[0] = 1.0; + ifail = 0; + idlc = 0; + E04RJ e04rj = new E04RJ(); + e04rj.eval(handle, 1, lc_rhs, lc_rhs, 3, irowlc, icollc, lc, idlc, ifail); + + // Turn on monitoring + ifail = 0; + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); + + // Set this to True to cause e04ptf to produce intermediate progress output + verbose_output = false; + + if (verbose_output) { + // Require printing of primal and dual solutions at the end of the solve + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + } else { + // Turn off printing of intermediate progress output + ifail = 0; + e04zm.eval(handle, "Print Level = 1", ifail); + } + + // Call SOCP interior point solver + cpuser = 0; + iuser[0] = nout; + iuser[1] = 0; + ruser[0] = 1.0e-07; + ifail = -1; + E04PT e04pt = new E04PT(); + MONIT monit = new MONIT(); + e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + ifail = e04pt.getIFAIL(); + + // Print solution if optimal or suboptimal solution found + if ((ifail == 0) || (ifail == 50)) { + System.out.println(" Optimal X:"); + System.out.println(" x_idx Value "); + for (x_idx = 0; x_idx < n; x_idx++) { + System.out.printf(" %5d %11.3e\n", x_idx, x[x_idx]); + } + } + + // Free the handle memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + } + + public static class MONIT extends E04PT.Abstract_E04PT_MONIT { + + public void eval() { + double tol; + int nout, tol_reached; + + nout = this.IUSER[0]; + tol_reached = this.IUSER[1]; + tol = this.RUSER[0]; + + // If x is close to the solution, print a message + if ((this.RINFO[14] < tol) && (this.RINFO[15] < tol) && (this.RINFO[16] < tol) && (this.RINFO[17] < tol)) { + if (tol_reached == 0) { + System.out.printf("\n monit() reports good approximate solution (tol =%9.2e)\n", tol); + this.IUSER[1] = 1; + } + } + } + } + } diff --git a/simple_examples/source/int32/E04SAJE.java b/simple_examples/source/int32/E04SAJE.java new file mode 100644 index 0000000..325267b --- /dev/null +++ b/simple_examples/source/int32/E04SAJE.java @@ -0,0 +1,104 @@ +import com.nag.routines.E04.E04RC; +import com.nag.routines.E04.E04SA; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04PT; +import com.nag.routines.E04.E04PTU; + +/** + * E04SA example program text. + */ +public class E04SAJE { + + public static final String fname = "e04saje.opt"; + public static void main(String[] args) { + + long cpuser, handle = 0; + int ifail, n, nnzu, nnzuc, x_idx; + boolean verbose_output; + String ftype; + + double[] rinfo = new double[100]; + double[] ruser = new double[1]; + double[] stats = new double[100]; + double[] u, uc, x; + int[] iuser = new int[1]; + int[] pinfo = new int[100]; + + System.out.println(" E04SAJ Example Program Results"); + + // Read mps file to a handle + ifail = 0; + ftype = "mps"; + E04SA e04sa = new E04SA(); + e04sa.eval(handle, fname, ftype, pinfo, ifail); + handle = e04sa.getHANDLE(); + + // Get problem size from pinfo + pinfo = e04sa.getPINFO(); + n = pinfo[0]; + nnzu = pinfo[10]; + nnzuc = pinfo[11]; + + // Set all variables as continuous + ifail = 0; + E04RC e04rc = new E04RC(); + + int[] x_idx_Arr = new int[n]; + for (x_idx = 1; x_idx <= n; x_idx++) { + x_idx_Arr[x_idx - 1] = x_idx; + } + + e04rc.eval(handle, "CONT", n, x_idx_Arr, ifail); + + // Allocate memory + x = new double[n]; + u = new double[nnzu]; + uc = new double[nnzuc]; + + // Set this to .True. to cause e04ptf to produce intermediate progress output + verbose_output = false; + + E04ZM e04zm = new E04ZM(); + if (verbose_output) { + // Require printing of primal and dual solutions at the end of the solve + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + } else { + // Turn off printing of intermediate progress output + ifail = 0; + e04zm.eval(handle, "Print Level = 1", ifail); + } + + // Call SOCP interior point solver + cpuser = 0; + ifail = -1; + E04PT e04pt = new E04PT(); + MONIT monit = new MONIT(); + e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + ifail = e04pt.getIFAIL(); + + // Print solution if optimal or suboptimal solution found + if ((ifail == 0) || (ifail == 50)) { + System.out.println(" Optimal X:"); + System.out.println(" x_idx " + " Value "); + for (x_idx = 0; x_idx < n; x_idx++) { + System.out.printf(" %5d %12.5e\n", x_idx, x[x_idx]); + } + } + + // Free the handle memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + } + + public static class MONIT extends E04PT.Abstract_E04PT_MONIT { + + public void eval() { + E04PTU e04ptu = new E04PTU(); + e04ptu.eval(this.HANDLE, this.RINFO, this.STATS, this.IUSER, this.RUSER, this.CPUSER, this.INFORM); + this.INFORM = e04ptu.getINFORM(); + } + } +} diff --git a/simple_examples/source/int32/E04TAJE.java b/simple_examples/source/int32/E04TAJE.java new file mode 100644 index 0000000..97cebe2 --- /dev/null +++ b/simple_examples/source/int32/E04TAJE.java @@ -0,0 +1,188 @@ +import com.nag.routines.E04.E04TA; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RE; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RJ; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04MT; +import com.nag.routines.E04.E04MTU; +import com.nag.routines.E04.E04TD; +import com.nag.routines.E04.E04TE; +import com.nag.routines.E04.E04TJ; +import com.nag.routines.E04.E04RW; +import com.nag.routines.E04.E04RZ; + +import java.util.Arrays; + +/** + * E04TA + */ +public class E04TAJE { + + public static void main(String[] args) { + + final double infbnd = 1.0e20; + + long cpuser, handle; + int idlc, ifail, ioflag, liarr, nclin, nnza, nnzu, nvar; + + double[] a, bla, bua, cvec, ulag, x, xl, xu; + + double[] rinfo = new double[100]; + double[] ruser = new double[1]; + double[] stats = new double[100]; + double[] u = new double[1]; + + int[] icola, irowa; + + int[] iuser = new int[1]; + int[] pinfo = new int[100]; + + System.out.println(" E04TAJ Example Program Results\n"); + System.out.println(" Solve the first LP\n"); + + handle = 0; + cpuser = 0; + + // Initialize the handle + nvar = 2; + ifail = 0; + E04RA e04ra = new E04RA(); + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + // Define the objective function + cvec = new double[nvar]; + cvec[0] = 2.0; + cvec[1] = 4.5; + ifail = 0; + E04RE e04re = new E04RE(); + e04re.eval(handle, nvar, cvec, ifail); + + // Box constraints + xl = new double[nvar]; + xu = new double[nvar]; + Arrays.fill(xl, 0.0); + xu[0] = infbnd; + xu[1] = 100.0; + ifail = 0; + E04RH e04rh = new E04RH(); + e04rh.eval(handle, nvar, xl, xu, ifail); + + // Set the linear constraints + idlc = 0; + nclin = 3; + nnza = 6; + bla = new double[nclin]; + bua = new double[nclin]; + irowa = new int[nnza]; + icola = new int[nnza]; + a = new double[nnza]; + Arrays.fill(bla, -infbnd); + bua = new double[] { + 1500.0, 6000.0, 16000.0 + }; + irowa = new int[] { + 1, 1, 2, 2, 3, 3 + }; + icola = new int[] { + 1, 2, 1, 2, 1, 2 + }; + a = new double[] { + 1.2, 3.0, 6.0, 10.0, 40.0, 80.0 + }; + ifail = 0; + E04RJ e04rj = new E04RJ(); + e04rj.eval(handle, nclin, bla, bua, nnza, irowa, icola, a , idlc, ifail); + + // Optional parameters + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "Task = Max", ifail); + e04zm.eval(handle, "Print Options = No", ifail); + e04zm.eval(handle, "Print Level = 1", ifail); + e04zm.eval(handle, "Print Solution = X", ifail); + + // Call the LP solver + x = new double[nvar + 1]; + nnzu = 0; + ifail = -1; + E04MT e04mt = new E04MT(); + MONIT monit = new MONIT(); + e04mt.eval(handle, nvar, x ,nnzu, u, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + + // Add a variable + ifail = 0; + E04TA e04ta = new E04TA(); + e04ta.eval(handle, 1, nvar, ifail); + nvar = e04ta.getNVAR(); + + // Box constraint on the new variable + ifail = 0; + E04TD e04td = new E04TD(); + e04td.eval(handle, "variable", nvar, 0.0, 50.0, ifail); + + // Add the linear objective component + ifail = 0; + E04TE e04te = new E04TE(); + e04te.eval(handle, 3, 7.0, ifail); + + // Add linear constraints coefficients + E04TJ e04tj = new E04TJ(); + ifail = 0; + e04tj.eval(handle, 1, 3, 5.0, ifail); + ifail = 0; + e04tj.eval(handle, 2, 3, 12.0, ifail); + ifail = 0; + e04tj.eval(handle, 3, 3, 120.0, ifail); + + System.out.println("\n The new variable has been added, solve the handle again\n"); + + // Solve the problem again + ifail = -1; + e04mt.eval(handle, nvar, x, nnzu, u, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + + // Add a linear constraint + nclin = 1; + bla[0] = -infbnd; + bua[0] = 100.0; + nnza = 2; + irowa[0] = 1; + irowa[1] = 1; + icola[0] = 2; + icola[1] = 3; + a[0] = 1.0; + a[1] = 1.0; + idlc = 0; + e04rj.eval(handle, nclin, bla, bua ,nnza, irowa, icola, a ,idlc, ifail); + + System.out.println("\n The new constraint has been added, solve the handle again\n"); + + // Query the problem sizes to request the Lagrangian multipliers for the + // last solve + ioflag = 1; + liarr = 100; + E04RW e04rw = new E04RW(); + e04rw.eval(handle, "pinfo", ioflag, liarr, pinfo, ifail); + nnzu = pinfo[10]; + ulag = new double[nnzu]; + + // Solve the problem again + ifail = -1; + e04mt.eval(handle, nvar, x ,nnzu, ulag, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + + // Free the memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + } + + public static class MONIT extends E04MT.Abstract_E04MT_MONIT { + + public void eval() { + E04MTU e04mtu = new E04MTU(); + e04mtu.eval(this.HANDLE, this.RINFO, this.STATS, this.IUSER, this.RUSER, + this.CPUSER, this.INFORM); + this.INFORM = e04mtu.getINFORM(); + } + } +} diff --git a/simple_examples/source/int32/E04TCJE.java b/simple_examples/source/int32/E04TCJE.java new file mode 100644 index 0000000..d28d78b --- /dev/null +++ b/simple_examples/source/int32/E04TCJE.java @@ -0,0 +1,263 @@ +import com.nag.routines.E04.E04FFU; +import com.nag.routines.E04.E04GG; +import com.nag.routines.E04.E04GGU; +import com.nag.routines.E04.E04GGV; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RM; +import com.nag.routines.E04.E04TB; +import com.nag.routines.E04.E04TC; +import com.nag.routines.E04.E04TD; +import com.nag.routines.E04.E04ZM; +import java.io.BufferedReader; +import java.io.FileReader; +import java.text.NumberFormat; +import java.util.logging.Level; +import java.util.logging.Logger; +import java.util.Arrays; + +/** + * E04TC example program text. + * @author Mo + */ +public class E04TCJE { + + public static void main(String[] args) { + double[] rx, x, udt, udy; + double[] rinfo = new double[100], ruser = new double[0], + stats = new double[100]; + int ifail, isparse, nnzrd, nres, nvar, udnres; + int[] icolrd = new int[0], irowrd = new int[0], iuser = new int[0]; + int[] idx; + long cpuser, handle; // c_ptr + LSQFUN lsqfun = new LSQFUN(); + LSQGRD lsqgrd = new LSQGRD(); + LSQHES lsqhes = new LSQHES(); + LSQHPRD lsqhprd = new LSQHPRD(); + MONIT monit = new MONIT(); + + /* Header */ + System.out.printf(" E04TCJ Example Program Results\n\n"); + try { + + handle = 0L; + cpuser = 0L; + + BufferedReader br = new BufferedReader(new FileReader(args[0])); + String line = br.readLine(); // read the header + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + String[] data = line.split("\\s+"); + + /* Read number of residuals */ + nres = Integer.parseInt(data[0]); + + udnres = nres; + + /* Allocate memory */ + udt = new double[nres]; + udy = new double[nres]; + + /* Read observations */ + + for (int ii = 0; ii < nres; ii += 3) { + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int jj = 0; jj < 3; ++jj) { + udt[ii+jj] = Double.parseDouble(data[jj]); + } + } + + for (int ii = 0; ii < nres; ii += 3) { + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int jj = 0; jj < 3; ++jj) { + udy[ii+jj] = Double.parseDouble(data[jj]); + } + } + + /* try to fit the model */ + /* f(t) = at^2 + bt + c + d sin(omega t) */ + /* To the data {(t_i, y_i)} */ + nvar = 5; + + /* Initialize the NAG optimization handle */ + E04RA e04ra = new E04RA(); + ifail = 0; // hard fail + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + /* Define a dense nonlinear least-squares objective function */ + /* (isparse = 0 => the sparsity pattern of the Jacobian */ + /* doesn't need to be defined) */ + E04RM e04rm = new E04RM(); + isparse = 0; + nnzrd = 1; + e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); + + /* Set some optional parameters to control the output of the solver */ + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "Print Options = No", ifail); + e04zm.eval(handle, "Print Solution = X", ifail); + e04zm.eval(handle, "Print Level = 1", ifail); + + System.out.println("First solve the problem with the outliers"); + System.out.println(); + System.out.println("--------------------------------------------------------"); + + /* Call the solver */ + E04GG e04gg = new E04GG(); + x = new double[nvar]; + for (int ii = 0; ii < nvar; ++ii) { + x[ii] = 1.0; + } + rx = new double[nres]; + iuser = new int[] {udnres}; + ruser = new double[2 * udnres];; + for (int ii = 0; ii < udnres; ii++) { + ruser[ii] = udt[ii]; + ruser[udnres + ii] = udy[ii]; + } + ifail = -1; + e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, + rx, rinfo, stats, iuser, ruser, cpuser, ifail); + + System.out.println("--------------------------------------------------------"); + System.out.println(); + System.out.println("Now remove the outlier residuals from the problem handle"); + System.out.println(); + System.out.println("--------------------------------------------------------"); + + /* Disable the two outlier residuals */ + E04TC e04tc = new E04TC(); + idx = new int[] {10, 20}; + e04tc.eval(handle, "NLS", 2, idx, ifail); + + /* Solve the problem again */ + for (int ii = 0; ii < nvar; ++ii) { + x[ii] = 1.0; + } + ifail = -1; + e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, + rx, rinfo, stats, iuser, ruser, cpuser, ifail); + + System.out.println("--------------------------------------------------------"); + System.out.println(); + System.out.println("Assuming the outliers points are measured again"); + System.out.println("we can enable the residuals and adjust the values"); + System.out.println(); + System.out.println("--------------------------------------------------------"); + + /* Fix the first variable to its known value of 0.3 */ + /* enable the residuals and adjust the values in the data */ + E04TD e04td = new E04TD(); + e04td.eval(handle, "variable", 1, 0.3, 0.3, ifail); + E04TB e04tb = new E04TB(); + e04tb.eval(handle, "NLS", 2, idx, ifail); + udy[9] = -0.515629; + udy[19] = 0.54920; + + /* Solve the problem */ + for (int ii = 0; ii < nvar; ++ii) { + x[ii] = 1.0; + } + ifail = -1; + e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, + rx, rinfo, stats, iuser, ruser, cpuser, ifail); + + } + catch (Exception ex) { + Logger.getLogger(E04TCJE.class.getName()).log(Level.SEVERE, null, ex); + } + + } + + public static class LSQFUN extends E04GG.Abstract_E04GG_LSQFUN { + + public void eval() { + int udnres; + double[] udt, udy; + + /* Unpack the user data from cpuser */ + udnres = this.IUSER[0]; + udt = Arrays.copyOfRange(this.RUSER, 0, udnres); + udy = Arrays.copyOfRange(this.RUSER, udnres, udnres + udnres); + + for (int i = 0; i < this.NRES; i++) { + this.RX[i] = 0.0; + } + + for (int i = 0; i < this.NRES; i++) { + this.RX[i] = (this.X[0] * Math.pow(udt[i],2) + this.X[1] * udt[i] + + this.X[2] + this.X[3] * Math.sin(this.X[4] * udt[i])) - + udy[i]; + } + + this.INFORM = 0; + + } + + } + + public static class LSQGRD extends E04GG.Abstract_E04GG_LSQGRD { + + public void eval() { + int udnres; + double[] udt, udy; + + /* Unpack the user data from cpuser */ + udnres = this.IUSER[0]; + udt = Arrays.copyOfRange(this.RUSER, 0, udnres); + udy = Arrays.copyOfRange(this.RUSER, udnres, udnres + udnres); + + for (int i = 1; i <= this.NRES; i++) { + this.RDX[((i-1)*this.NVAR + 1) - 1] = Math.pow(udt[i-1],2); + this.RDX[((i-1)*this.NVAR + 2) - 1] = udt[i-1]; + this.RDX[((i-1)*this.NVAR + 3) - 1] = 1.0; + this.RDX[((i-1)*this.NVAR + 4) - 1] = Math.sin(this.X[4] * udt[i-1]); + this.RDX[((i-1)*this.NVAR + 5) - 1] = this.X[3] * udt[i-1] * + Math.cos(this.X[4] * udt[i-1]); + + } + + this.INFORM = 0; + + } + + } + + public static class LSQHES extends E04GG.Abstract_E04GG_LSQHES { + + public void eval() { + E04GGU e04ggu = new E04GGU(); + e04ggu.eval(this.NVAR, this.X, this.NRES, this.LAMBDA, this.HX, + this.INFORM, this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ggu.getINFORM(); + } + + } + + public static class LSQHPRD extends E04GG.Abstract_E04GG_LSQHPRD { + + public void eval() { + E04GGV e04ggv = new E04GGV(); + e04ggv.eval(this.NVAR, this.X, this.Y, this.NRES, this.HXY, this.INFORM, + this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ggv.getINFORM(); + } + + } + + public static class MONIT extends E04GG.Abstract_E04GG_MONIT { + + public void eval() { + E04FFU e04ffu = new E04FFU(); + e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, + this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ffu.getINFORM(); + } + + } + +} diff --git a/simple_examples/source/int32/E04UCJE.java b/simple_examples/source/int32/E04UCJE.java new file mode 100644 index 0000000..e43d457 --- /dev/null +++ b/simple_examples/source/int32/E04UCJE.java @@ -0,0 +1,211 @@ +import com.nag.routines.E04.E04UC; +import com.nag.routines.E04.E04WB; +import com.nag.routines.E04.E04UE; +import com.nag.routines.F06.DGEMV; +import java.util.Arrays; + +/** + * E04UC example program text. + * @author joed + */ +public class E04UCJE { + + public static final double ONE = 1.0, ZERO = 0.0; + public static final int INC1 = 1, LCWSAV = 1, LIWSAV = 610, LLWSAV = 120, LRWSAV = 475; + public static CONFUN confun = new CONFUN(); + public static OBJFUN objfun = new OBJFUN(); + + public static void main(String[] args) { + + /* Local Scalars */ + double objf; + int i, ifail, inform, iter, j, lda, ldcj, ldr, liwork, lwork, n, nclin, ncnln, sda, sdcjac; + /* Local Arrays */ + double[] a, bl, bu, c, cjac, clamda, objgrd, r, work, x; + double[] ruser = new double[1], rwsav = new double[LRWSAV]; + int[] istate, iwork; + int[] iuser = new int[1], iwsav = new int[LIWSAV]; + boolean[] lwsav = new boolean[LLWSAV]; + String[] cwsav = new String[LCWSAV]; + Arrays.fill(cwsav, + " "); + + System.out.println(" E04UCJ Example Program Results"); + + /* Set scalars */ + n = 4; + nclin = 1; + ncnln = 2; + liwork = 3*n + nclin + 2*ncnln; + lda = Math.max(1, nclin); + sda = (nclin > 0) ? n : 1; + ldcj = Math.max(1, ncnln); + sdcjac = (ncnln > 0) ? n : 1; + ldr = n; + + if (ncnln == 0 && nclin > 0) { + lwork = 2*n*n + 20*n + 11*nclin; + } + else if (ncnln > 0 && nclin >= 0) { + lwork = 2*n*n + n*nclin + 2*n*ncnln + 20*n + 11*nclin + 21*ncnln; + } + else { + lwork = 20*n; + } + + /* Set arrays */ + istate = new int[n + nclin + ncnln]; + iwork = new int[liwork]; + c = new double[Math.max(1, ncnln)]; + cjac = new double[ldcj * sdcjac]; + clamda = new double[n + nclin + ncnln]; + objgrd = new double[n]; + r = new double[ldr * n]; + work = new double[lwork]; + + a = new double[]{1.0, 1.0, 1.0, 1.0}; + bl = new double[]{1.0, 1.0, 1.0, 1.0, -1.0E+25, -1.0E+25, 25.0}; + bu = new double[]{5.0, 5.0, 5.0, 5.0, 20.0, 40.0, 1.0E+25}; + x = new double[]{1.0, 5.0, 5.0, 1.0}; + + /* Initialise E04UC */ + E04WB e04wb = new E04WB(); + ifail = 0; + e04wb.eval("E04UCA", cwsav, LCWSAV, lwsav, LLWSAV, iwsav, LIWSAV, rwsav, LRWSAV, ifail); + E04UE e04ue = new E04UE(); + inform = 0; + e04ue.eval("Print Level = 10", lwsav, iwsav, rwsav, inform); + + /* Solve the problem */ + E04UC e04uc = new E04UC(); + iter = 0; + objf = 0.0; + ifail = -1; + e04uc.eval(n, nclin, ncnln, lda, ldcj, ldr, a, bl, bu, confun, objfun, iter, istate, c, + cjac, clamda, objf, objgrd, r, x, iwork, liwork, work, lwork, iuser, ruser, + lwsav, iwsav, rwsav, ifail); + iter = e04uc.getITER(); + objf = e04uc.getOBJF(); + ifail = e04uc.getIFAIL(); + + if ((0 >= ifail && ifail <= 6) || ifail == 8) { + System.out.println(); + System.out.println(" Varbl Istate Value Lagr Mult"); + System.out.println(); + + for (i = 0; i < n; i++) { + System.out.printf(" V %3d %3d %13.6G %13.4G\n", i+1, istate[i], x[i], clamda[i]); + } + + if (nclin > 0) { + + /* A*x --> work. + * The NAG name equivalent of DGEMV is F06PA */ + DGEMV dgemv = new DGEMV(); + dgemv.eval("N", nclin, n, ONE, a, lda, x, INC1, ZERO, work, INC1); + + System.out.println(); + System.out.println(); + System.out.println(" L Con Istate Value Lagr Mult"); + System.out.println(); + + for (i = n; i < n+nclin; i++) { + j = i - n; + System.out.printf(" L %3d %3d %13.6G %13.4G\n", j+1, istate[i], work[j], clamda[i]); + } + + } + + if (ncnln > 0) { + System.out.println(); + System.out.println(); + System.out.println(" N Con Istate Value Lagr Mult"); + System.out.println(); + + for (i = n+nclin; i < n+nclin+ncnln; i++) { + j = i - n - nclin; + System.out.printf(" N %3d %3d %13.6G %13.4G\n", j+1, istate[i], c[j], clamda[i]); + } + + } + + System.out.println(); + System.out.println(); + System.out.printf(" Final objective value = %11.7G\n", objf); + + } + + } + + /** Routine to evaluate objective function and its 1st derivatives. */ + public static class OBJFUN extends E04UC.Abstract_E04UC_OBJFUN { + + public void eval() { + + if (MODE == 0 || MODE == 2) { + OBJF = X[0] * X[3] * (X[0]+X[1]+X[2]) + X[2]; + } + + if (MODE == 1 || MODE == 2) { + OBJGRD[0] = X[3] * (X[0]+X[0]+X[1]+X[2]); + OBJGRD[1] = X[0] * X[3]; + OBJGRD[2] = X[0] * X[3] + ONE; + OBJGRD[3] = X[0] * (X[0]+X[1]+X[2]); + } + + } + + } + + /** Routine to evaluate the nonlinear constraints and their 1st derivatives. */ + public static class CONFUN extends E04UC.Abstract_E04UC_CONFUN { + + public void eval() { + + if (NSTATE == 1) { + + /* First call to CONFUN. Set all Jacobian elements to zero. + * Note that this will only work when 'Derivative Level = 3' + * (the default; see Section 11.2). */ + + for (int i = 0; i < CJAC.length; ++i) { + CJAC[i] = 0; + } + + } + + if (NEEDC[0] > 0) { + + if (MODE == 0 || MODE == 2) { + C[0] = X[0]*X[0] + X[1]*X[1] + X[2]*X[2] + X[3]*X[3]; + } + + if (MODE == 1 || MODE == 2) { + CJAC[0] = X[0] + X[0]; + CJAC[LDCJ] = X[1] + X[1]; + CJAC[2*LDCJ] = X[2] + X[2]; + CJAC[3*LDCJ] = X[3] + X[3]; + } + + } + + if (NEEDC[1] > 0) { + + if (MODE == 0 || MODE == 2) { + C[1] = X[0]*X[1]*X[2]*X[3]; + } + + if (MODE == 1 || MODE == 2) { + CJAC[1] = X[1]*X[2]*X[3]; + CJAC[1+LDCJ] = X[0]*X[2]*X[3]; + CJAC[1+2*LDCJ] = X[0]*X[1]*X[3]; + CJAC[1+3*LDCJ] = X[0]*X[1]*X[2]; + } + + } + + } + + } + +} diff --git a/simple_examples/source/int32/E04YAJE.java b/simple_examples/source/int32/E04YAJE.java new file mode 100644 index 0000000..72d80da --- /dev/null +++ b/simple_examples/source/int32/E04YAJE.java @@ -0,0 +1,112 @@ +import com.nag.routines.E04.E04YA; + + +/** + * E04YA example program text. + * @author joed + */ +public class E04YAJE { + + public static LSQFUN lsqfun = new LSQFUN(); + public static final int LIW = 1, MDEC = 15, NDEC = 3; + public static final int LDFJAC = MDEC; + public static final int LW = 3*NDEC + MDEC + MDEC*NDEC; + public static double[] t = new double[MDEC*NDEC], y = new double[MDEC]; + + /** Routine to evaluate the residuals and their 1st derivatives. */ + public static class LSQFUN extends E04YA.Abstract_E04YA_LSQFUN { + + public void eval() { + double denom, dummy; + int i; + + for (i = 0; i < M; i++) { + denom = (XC[1] * t[MDEC + i]) + (XC[2] * t[2*MDEC + i]); + + if (IFLAG != 1) { + FVEC[i] = XC[0] + (t[i]/denom) - y[i]; + } + + if (IFLAG != 0) { + FJAC[i] = 1.0; + dummy = -1.0/(denom*denom); + FJAC[MDEC + i] = t[i] * t[MDEC + i] * dummy; + FJAC[2*MDEC + i] = t[i] * t[2*MDEC + i] * dummy; + } + + } + } + + } + + public static void main(String[] args) { + int i, ifail, m, n; + double[] fjac = new double[LDFJAC*NDEC], fvec = new double[MDEC], + w = new double[LW], x = new double[NDEC]; + int[] iw = new int[LIW]; + + System.out.println(" E04YAJ Example Program Results"); + + n = NDEC; + m = MDEC; + + /* Observations of TJ (J = 1, 2, ..., n) are held in T(I, J) + * (I = 1, 2, ..., m) */ + + y = new double[]{0.14, 0.18, 0.22, 0.25, 0.29, 0.32, 0.35, 0.39, 0.37, + 0.58, 0.73, 0.96, 1.34, 2.10, 4.39}; + for (i = 0; i < m; i++) { + t[i] = i + 1.0; + t[m + i] = 15.0 - i; + t[2*m + i] = -Math.abs(i - 7.0) + 8.0; + } + + /* Set up an arbitrary point at which to check the 1st derivatives */ + + x[0] = 0.19; + x[1] = -1.34; + x[2] = 0.88; + + System.out.println(); + System.out.println("The test point is"); + System.out.printf(" "); + for (i = 0; i < n; i++) { + System.out.printf("%10.5f", x[i]); + } + System.out.printf("\n"); + + E04YA e04ya = new E04YA(); + ifail = -1; + e04ya.eval(m, n, lsqfun, x, fvec, fjac, LDFJAC, iw, LIW, w, LW, ifail); + ifail = e04ya.getIFAIL(); + + if (ifail >= 0 && ifail != 1) { + + switch (ifail) { + case 0: + System.out.println(); + System.out.println("1st derivatives are consistent with residual values"); + break; + case 2: + System.out.println(); + System.out.println("Probable error in calculation of 1st derivatives"); + break; + default: + } + + System.out.println(); + System.out.println("At the test point, LSQFUN gives"); + System.out.println(); + System.out.println(" Residuals 1st derivatives"); + for (i = 0; i < m; i++) { + System.out.printf(" %15.3E", fvec[i]); + System.out.printf("%15.3E", fjac[i]); + System.out.printf("%15.3E", fjac[LDFJAC + i]); + System.out.printf("%15.3E\n", fjac[2*LDFJAC + i]); + } + + } + + } + +} diff --git a/simple_examples/source/int32/F01ADJE.java b/simple_examples/source/int32/F01ADJE.java new file mode 100644 index 0000000..4167f71 --- /dev/null +++ b/simple_examples/source/int32/F01ADJE.java @@ -0,0 +1,39 @@ +import com.nag.routines.F01.F01AD; +import com.nag.routines.X04.X04CA; + + +/** + * F01AD example program text. + * @author joed + */ +public class F01ADJE { + + public static void main(String[] args) { + + int i, ifail, lda, n; + double[] a; + + System.out.println(" F01ADJ Example Program Results"); + System.out.println(); + + n = 4; + lda = n + 1; + a = new double[] { + 5.0, 7.0, 6.0, 5.0, 0.0, + 7.0, 10.0, 8.0, 7.0, 0.0, + 6.0, 8.0, 10.0, 9.0, 0.0, + 5.0, 7.0, 9.0, 10.0, 0.0 + }; + + F01AD f01ad = new F01AD(); + ifail = -1; + f01ad.eval(n, a, lda, ifail); + ifail = f01ad.getIFAIL(); + + /* Print the result matrix A */ + X04CA x04ca = new X04CA(); + x04ca.eval("L", "B", lda, n, a, lda, "Lower triangle of inverse", ifail); + + } + +} diff --git a/simple_examples/source/int32/F01CKJE.java b/simple_examples/source/int32/F01CKJE.java new file mode 100644 index 0000000..ed3ffa2 --- /dev/null +++ b/simple_examples/source/int32/F01CKJE.java @@ -0,0 +1,60 @@ +import com.nag.routines.F01.F01CK; +import com.nag.routines.X04.X04CB; +import java.util.logging.Level; +import java.util.logging.Logger; + + +/** + * F01CK example program text. + * @author ludovic + */ +public class F01CKJE { + + public static void main(String[] args) { + + double[] a, b, c, z; + int n, p, m, iz, opt; + int ifail; + + m = 3; + n = p = 2; + iz = 1; + opt = 1; + a = new double[n * p]; + b = new double[n * m]; + c = new double[m * p]; + z = new double[iz]; + ifail = 0; + + System.out.println(" F01CKJ Example Program Results"); + + // Initialising b and c + + for (int i = 0; i < m; ++i) { + for (int j = 0; j < n; ++j) { + b[j+i*n] = (double) (i+j); + } + for (int j = 0; j < p; ++j) { + c[i+j*m] = (double) (i+j); + } + } + + F01CK f01ck = new F01CK(a, b, c, n, p, m, z, iz, opt, ifail); + f01ck.eval(); + ifail = f01ck.getIFAIL(); + String title = "Matrix A"; + System.out.println(); + System.out.flush(); + ifail = 0; + + String matrix = "G", diag = "N", nolabel = "N", form = "F7.1"; + String[] dummy = {" "}; + int ncols = 80; + int indent = 0; + + (new X04CB()).eval(matrix,diag,n,p,a,n,form,title,nolabel,dummy,nolabel, + dummy,ncols,indent, ifail); + + } + +} diff --git a/simple_examples/source/int32/F01CRJE.java b/simple_examples/source/int32/F01CRJE.java new file mode 100644 index 0000000..c10b284 --- /dev/null +++ b/simple_examples/source/int32/F01CRJE.java @@ -0,0 +1,47 @@ +import com.nag.routines.F01.F01CR; +import java.util.logging.Level; +import java.util.logging.Logger; + + +/** + * F01CR example program text. + * @author ludovic + */ +public class F01CRJE { + + public static void main(String[] args) { + System.out.println(" F01CRJ Example Program Results"); + double[] a; + int m,n,mn,lmove; + int[] move; + int ifail; + n = 7; + m = 3; + mn = m*n; + lmove = (m + n)/2; + a = new double[mn]; + move = new int[lmove]; + ifail = 1; + + for (int i = 0; i < mn; i++) { + a[i] = i+1.0; + } + + F01CR f01cr = new F01CR(a, m, n, mn, move, lmove, ifail); + f01cr.eval(); + + System.out.println(); + int index = 0; + for (int i = 0; i < mn; ++i) { + System.out.printf(" %7.1f",a[i]); + ++index; + if (index == 7) { + System.out.println(); + index = 0; + } + } + System.out.println(); + + } + +} diff --git a/simple_examples/source/int32/F01DGJE.java b/simple_examples/source/int32/F01DGJE.java new file mode 100644 index 0000000..107137f --- /dev/null +++ b/simple_examples/source/int32/F01DGJE.java @@ -0,0 +1,72 @@ +import com.nag.routines.F01.F01DG; +import com.nag.routines.X04.X04CA; + +/** + * F01DG example program text. + * @author joed + * @since 27.0.0.0 + */ +public class F01DGJE { + + /** + * F01DG example main program. + */ + public static void main(String[] args) { + + F01DG f01dg = new F01DG(); + X04CA x04ca = new X04CA(); + double alpha; + int i, ifail, lda, ldb, n; + String side, transa, uplo; // Length 1 + double[] a, b; + + System.out.println("F01DGJ Example Program Results\n"); + + // Values for side, uplo and transa + side = "L"; + uplo = "U"; + transa = "T"; + + // Order of square matrices + n = 4; + lda = n; + ldb = n; + + // Scaling constant alpha + alpha = 0.4; + + // Set input matrices (column-major order) + a = new double[]{ + 1.5, 0.0, 0.0, 0.0, + 2.3, 3.4, 0.0, 0.0, + 6.7, 5.4, 8.1, 0.0, + 1.9, 8.6, 2.0, 5.9 + }; + b = new double[]{ + 3.5, 0.0, 0.0, 0.0, + 2.1, 5.6, 0.0, 0.0, + 4.0, 2.1, 1.7, 0.0, + 2.1, 2.5, 1.1, 7.4 + }; + + /* ifail: behaviour on error exit + * = 0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft */ + ifail = 0; + + // Find B=alpha*A*B + f01dg.eval(side, uplo, transa, n, alpha, a, lda, b, ldb, ifail); + ifail = f01dg.getIFAIL(); + + // Print the solution + if (ifail == 0) { + if (transa.equals("N")) { + x04ca.eval(uplo, "N", n, n, b, n, "Solution matrix B", ifail); + } + else { + x04ca.eval("G", "N", n, n, b, n, "Solution matrix B", ifail); + } + } + + } + +} diff --git a/simple_examples/source/int32/F01ELJE.java b/simple_examples/source/int32/F01ELJE.java new file mode 100644 index 0000000..9986c6c --- /dev/null +++ b/simple_examples/source/int32/F01ELJE.java @@ -0,0 +1,89 @@ +import com.nag.routines.F01.F01EL; +import com.nag.routines.Routine; +import com.nag.routines.X04.X04CA; +import com.nag.types.NAGComplex; +import com.nag.types.NAGComplexInterface; +import java.util.Arrays; + +/** + * F01EL example program text. + * @author joed + */ +public class F01ELJE { + + public static void main(String[] args) { + + F01EL f01el = new F01EL(); + X04CA x04ca = new X04CA(); + + FCos2 fcos2 = new FCos2(); + double imnorm; + int i, ifail, iflag, lda, n; + double[] a, ruser = new double[1]; + int[] iuser = new int[1]; + + Routine.setComplex(new NAGComplex()); + + System.out.println(" F01ELJ Example Program Results"); + System.out.println(); + + // Problem data + n = 4; + a = new double[] { + 3.0, -1.0, 0.0, 2.0, 0.0, 1.0, 2.0, 1.0, 1.0, 3.0, 2.0, -1.0, 2.0, 1.0, 1.0, 1.0 + }; + + // Find f(A) + lda = n; + iflag = 0; + imnorm = 0; + ifail = 0; + f01el.eval(n, a, lda, fcos2, iuser, ruser, iflag, imnorm, ifail); + + // Print solution + ifail = 0; + x04ca.eval("G", "N", n, n, a, lda, "F(A) = COS(2A)", ifail); + + // Print the norm of the imaginary part to check it is small + System.out.println(); + System.out.println(" Imnorm = " + imnorm); + + } + + public static class FCos2 extends F01EL.Abstract_F01EL_F { + + /* These methods should really be part of an extension of NAGComplex. */ + + private NAGComplex complexCos(NAGComplexInterface z) { + NAGComplex cosz = new NAGComplex(); + cosz.setRe(Math.cos(z.getRe()) * Math.cosh(z.getIm())); + cosz.setIm(-Math.sin(z.getRe()) * Math.sinh(z.getIm())); + return cosz; + } + + private NAGComplex complexMult(NAGComplexInterface a, NAGComplexInterface b) { + NAGComplex ab = new NAGComplex(); + ab.setRe((a.getRe()*b.getRe()) - (a.getIm()*b.getIm())); + ab.setIm((a.getRe()*b.getIm()) + (a.getIm()*b.getRe())); + return ab; + } + + /* Calculate F(A) = COS(2A) */ + + public void eval() { + + NAGComplex two = new NAGComplex(); + two.setRe(2.0); + two.setIm(0.0); + + for (int i = 0; i < this.NZ; i++) { + this.FZ[i] = (NAGComplex) complexCos(complexMult(two, this.Z[i])); + } + + this.IFLAG = 0; + + } + + } + +} diff --git a/simple_examples/source/int32/F01EMJE.java b/simple_examples/source/int32/F01EMJE.java new file mode 100644 index 0000000..716a7b5 --- /dev/null +++ b/simple_examples/source/int32/F01EMJE.java @@ -0,0 +1,106 @@ +import com.nag.routines.F01.F01EM; +import com.nag.routines.X04.X04CA; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +/** + * F01EMJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class F01EMJE{ + + /** + * F01EMJ Example main program + */ + public static void main(String[] args){ + double imnorm = 0; + int ifail, iflag = 0, lda, n; //placeholders + double[] a, ruser; + int[] iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println("F01EMJ Example Program Results"); + System.out.println(); + + //Tell wrapper what type of complex type is going to be used + Routine.setComplex(new NAGComplex()); + + //Problem size + n = 4; + lda = n; + + //Allocate + a = new double[lda * n]; + + //Data + //A = ( 1, 0,-2, 1) + // (-1, 2, 0, 1) + // ( 2, 0, 1, 0) + // ( 1, 0,-2, 2) + a[0] = 1; + a[1] = -1; + a[2] = 2; + a[3] = 1; + a[4] = 0; + a[5] = 2; + a[6] = 0; + a[7] = 0; + a[8] = -2; + a[9] = 0; + a[10] = 1; + a[11] = -1; + a[12] = 1; + a[13] = 1; + a[14] = 0; + a[15] = 2; + + //Find f(A) + ifail = 0; + //Create fexp2 object to pass to wrapper + fexp2 f = new fexp2(); + F01EM f01em = new F01EM(n, a, lda, f, iuser, ruser, iflag, imnorm, ifail); + f01em.eval(); + + //Print solution + ifail = 0; + X04CA x04ca = new X04CA("G", "N", n, n, a, lda, "F(A) = EXP(2A)", ifail); + x04ca.eval(); + + //Print the norm oof the imaginary part to check if it small + System.out.println(); + System.out.printf("Imnorm = %.2f\n", imnorm); + } + + /** + * fexp2 class representing f routine argument + */ + public static class fexp2 extends F01EM.Abstract_F01EM_F{ + public void eval(){ + NAGComplex two = new NAGComplex(2, 0); + NAGComplex twoPowM = new NAGComplex(2, 0); + + twoPowM.setRe(Math.pow(2, this.M)); + + for(int i = 0; i < this.NZ; i++){ + this.FZ[i] = NAGComplex.multiply(twoPowM, this.complexExp(NAGComplex.multiply(two, (NAGComplex) this.Z[i]))); + } + + //Set iflag nonzero to terminate exectuion for any reason + this.IFLAG = 0; + } + + //Raises e ^ z where z is a complex number + //Uses eulers formula; + //c ^ (a + bi) = c^a * ((cos(bln(c))) + isin(bln(c))) + public NAGComplex complexExp(NAGComplex x){ + NAGComplex tmp = new NAGComplex(); + tmp.setRe(Math.cos(x.getIm())); + tmp.setIm(Math.sin(x.getIm())); + NAGComplex ans = NAGComplex.multiply(new NAGComplex(Math.exp(x.getRe()), 0), tmp); + return ans; + } + } +} diff --git a/simple_examples/source/int32/F02EKJE.java b/simple_examples/source/int32/F02EKJE.java new file mode 100644 index 0000000..3737022 --- /dev/null +++ b/simple_examples/source/int32/F02EKJE.java @@ -0,0 +1,227 @@ +import com.nag.routines.F02.F02EK; +import com.nag.routines.F12.F12AD; +import com.nag.routines.Routine; +import com.nag.routines.X02.X02AJ; +import com.nag.types.NAGComplex; +import com.nag.types.NAGComplexInterface; +import java.util.Arrays; + +/** + * F02EK example program text. + * @author joed + */ +public class F02EKJE { + + public static MYMONIT mymonit = new MYMONIT(); + public static MYOPTION myoption = new MYOPTION(); + + public static void main(String[] args) { + F02EK f02ek = new F02EK(); + X02AJ x02aj = new X02AJ(); + double h, rho, s, sigma; + int ifail, imon, k, ldv, maxit, mode, n, nconv, ncv, nev, nnz, nx, + prtlvl; + NAGComplex complex = new NAGComplex(); + double[] a, resid, v, ruser = new double[1]; + int[] icolzp, irowix, iuser = new int[4]; + NAGComplex[] w; + + Routine.setComplex(complex); + + System.out.println(" F02EKJ Example Program Results"); + System.out.println(); + + nx = 10; + nev = 4; + ncv = 20; + rho = 10.0; + sigma = 5.5; + + n = nx * nx; + nnz = 3*n - 2; + ldv = n; + + resid = new double[ncv]; + a = new double[nnz]; + icolzp = new int[n + 1]; + irowix = new int[nnz]; + w = (NAGComplex[]) complex.getArrayOfInstances(ncv); + v = new double[ldv * ncv]; + + // Construct A in compressed column storage (CCS) format where: + // A{ i , i } = 2 + i + // A{i+1, i } = 3 + // A{ i , i+1} = rho/(2n+2) - 1 + + h = 1.0 / (double)(n+1); + s = (rho * h / 2.0) - 1.0; + + a[0] = 2.0 + 1.0; + a[1] = 3.0; + icolzp[0] = 1; + irowix[0] = 1; + irowix[1] = 2; + k = 3; + + for (int i = 1; i < n - 1; i++) { + icolzp[i] = k; + irowix[k - 1] = i; + irowix[k] = i + 1; + irowix[k + 1] = i + 2; + a[k - 1] = s; + a[k] = 2.0 + (double)(i + 1); + a[k + 1] = 3.0; + k += 3; + } + + icolzp[n - 1] = k; + icolzp[n] = k + 2; + irowix[k - 1] = n - 1; + irowix[k] = n; + a[k - 1] = s; + a[k] = 2.0 + (double)(n); + + // Set some options via iuser array and return routine argument OPTION + // iuser[0] = print level + // iuser[1] = iteration limit + // iuser[2] > 0 means shifted-invert mode + // iuser[3] > 0 means print monitoring info + + prtlvl = 0; + maxit = 500; + mode = 1; + imon = 1; + + if (prtlvl > 0) { + imon = 0; + } + + iuser[0] = prtlvl; + iuser[1] = maxit; + iuser[2] = mode; + iuser[3] = imon; + + nconv = 0; // placeholder value, nconv is output only + ifail = 0; // hard exit on error + + f02ek.eval( + n, nnz, a, icolzp, irowix, nev, ncv, sigma, mymonit, myoption, + nconv, w, v, ldv, resid, iuser, ruser, ifail + ); + ifail = f02ek.getIFAIL(); + nconv = f02ek.getNCONV(); + + System.out.println(); + System.out.printf( + " The %4d Ritz values of closest to %13.5E are:\n", nconv, sigma + ); + + // Get machine precision + double mp = x02aj.eval(); + + for (int i = 0; i < nconv; i++) { + if (resid[i] > (double)(100*n*mp)) { + System.out.printf( + " %8d ( %13.5E , %13.5E ) %13.5E\n", + i + 1, w[i], resid[i] + ); + } + else { + System.out.printf( + " %8d ( %13.5E , %13.5E )\n", + i + 1, w[i].getRe(), w[i].getIm() + ); + } + } + + } + + public static class MYOPTION extends F02EK.Abstract_F02EK_OPTION { + + public void eval() { + F12AD f12ad = new F12AD(); + int ifail1; + String rec = " "; + + this.ISTAT = 0; + + if (this.IUSER[0] > 0) { + System.out.printf("Print Level=%5d\n", this.IUSER[0]); + ifail1 = 1; + f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[1] > 100) { + System.out.printf("Iteration Limit=%5d\n", this.IUSER[1]); + ifail1 = 1; + f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[2] > 0) { + ifail1 = 1; + f12ad.eval( + "Shifted Inverse Real ", this.ICOMM, this.COMM, ifail1 + ); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + } + + } + + public static class MYMONIT extends F02EK.Abstract_F02EK_MONIT { + + public NAGComplexInterface[] getW() { + return this.W; + } + + public void eval() { + + if (this.IUSER[3] > 0) { + + if (this.NITER == 1 && this.IUSER[2] > 0) { + System.out.printf( + " Arnoldi basis vectors used:%4d\n", this.NCV + ); + System.out.printf( + " The following Ritz values (mu) are related to the\n" + + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" + ); + } + + System.out.println(); + System.out.printf(" Iteration number %4d\n", this.NITER); + System.out.printf( + " Ritz values converged so far (%4d) and their Ritz" + + " estimates:\n", this.NCONV + ); + + for (int i = 0; i < this.NCONV; i++) { + System.out.printf( + " %4d (%13.5E,%13.5E) %13.5E\n", + i + 1, this.W[i].getRe(), this.W[i].getIm(), + this.RZEST[i] + ); + } + + System.out.printf(" Next (unconverged) Ritz value:\n"); + + System.out.printf( + " %4d (%13.5E,%13.5E)\n", + this.NCONV + 1, this.W[NCONV].getRe(), this.W[NCONV].getIm() + ); + + } + + this.ISTAT = 0; + + } + + } + +} diff --git a/simple_examples/source/int32/F02FKJE.java b/simple_examples/source/int32/F02FKJE.java new file mode 100644 index 0000000..0dd7ab9 --- /dev/null +++ b/simple_examples/source/int32/F02FKJE.java @@ -0,0 +1,230 @@ +import com.nag.routines.F02.F02FK; +import com.nag.routines.F12.F12FD; +import com.nag.routines.X04.X04AB; +import com.nag.routines.X04.X04CA; +import java.util.Arrays; + +/** + * F02FK example program text. + * @author joed + */ +public class F02FKJE { + + public static MYMONIT mymonit = new MYMONIT(); + public static MYOPTION myoption = new MYOPTION(); + + public static void main(String[] args) { + F02FK f02fk = new F02FK(); + X04AB x04ab = new X04AB(); + X04CA x04ca = new X04CA(); + double h2, sigma; + int iset = 1, ifail, imon, k, ldv, lo, maxit, mode, n, nconv, ncv, nev, + nnz, nx, outchn, prtlvl; + double[] a, dPrint, resid, v, w, ruser = new double[1]; + int[] icol, irow, iuser = new int[4]; + + + System.out.println(" F02FKJ Example Program Results"); + System.out.println(); + + nx = 20; + nev = 8; + ncv = 20; + sigma = 1.0; + + // Construct the matrix A in sparse form and store in A. + // The main diagonal of A is full and there are two subdiagonals of A: + // the first and the nx-th. + + n = nx * nx; + nnz = (3 * n) - (2 * nx); + a = new double[nnz]; + irow = new int[nnz]; + icol = new int[nnz]; + + // Zero out A. + Arrays.fill(a, 0.0); + + // Main diagonal of A. + h2 = 1.0 / (double)((nx + 1) * (nx + 1)); + for (int i = 1; i <= n; i++) { + irow[i - 1] = i; + icol[i - 1] = i; + a[i - 1] = 4.0 / h2; + } + + // First subdiagonal of A. + k = n; + for (int i = 1; i <= nx; i++) { + lo = (i - 1) * nx; + for (int j = lo + 1; j <= lo + nx - 1; j++) { + k += 1; + irow[k - 1] = j + 1; + icol[k - 1] = j; + a[k - 1] = -1.0 / h2; + } + } + + // nx-th subdiagonal. + for (int i = 1; i <= nx - 1; i++) { + lo = (i - 1) * nx; + for (int j = lo + 1; j <= lo + nx; j++) { + k += 1; + irow[k - 1] = j + nx; + icol[k - 1] = j; + a[k - 1] = -1.0 / h2; + } + } + + // Set some options via iuser array and routine argument OPTION. + // iuser[0] = print level, + // iuser[1] = iteration limit, + // iuser[2]>0 means shifted-invert mode + // iuser[3]>0 means print monitoring info + + prtlvl = 0; + maxit = 500; + mode = 1; + imon = 0; + + ruser[0] = 1.0; + iuser[0] = prtlvl; + iuser[1] = maxit; + iuser[2] = mode; + iuser[3] = imon; + + // Find eigenvalues of largest magnitude and the corresponding + // eigenvectors. + + ldv = n; + w = new double[ncv]; + v = new double[ldv * ncv]; + resid = new double[n]; + + nconv = 0; // placeholder + + ifail = -1; + f02fk.eval( + n, nnz, a, irow, icol, nev, ncv, sigma, mymonit, myoption, nconv, + w, v, ldv, resid, iuser, ruser, ifail + ); + ifail = f02fk.getIFAIL(); + nconv = f02fk.getNCONV(); + if (ifail != 0) { + System.err.println(" ** F02FK returned with IFAIL = " + ifail); + } + + + + // Print Eigenvalues and the residual norm ||A*x - lambda*x||. + dPrint = new double[nconv * 2]; + for (int i = 1; i <= nconv; i++) { + dPrint[getIdx(i, 1, nconv)] = w[i - 1]; + dPrint[getIdx(i, 2, nconv)] = resid[i - 1]; + } + + System.out.println(); + + ifail = 0; + x04ca.eval( + "G", "N", nconv, 2, dPrint, nconv, " Ritz values and residuals", + ifail + ); + + } + + public static class MYOPTION extends F02FK.Abstract_F02FK_OPTION { + + public void eval() { + F12FD f12fd = new F12FD(); + int ifail1; + String rec = " "; // Required len = 25 + + this.ISTAT = 0; + + if (this.IUSER[0] > 0) { + System.out.printf(" Print Level=%5d\n", this.IUSER[0]); + ifail1 = 1; + f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12fd.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[1] > 100) { + System.out.printf(" Iteration Limit=%5d\n", this.IUSER[1]); + ifail1 = 1; + f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12fd.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[2] > 0) { + ifail1 = 1; + f12fd.eval( + "Shifted Inverse ", this.ICOMM, this.COMM, ifail1 + ); + ifail1 = f12fd.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + } + + } + + public static class MYMONIT extends F02FK.Abstract_F02FK_MONIT { + + public void eval() { + + if (this.IUSER[3] > 0) { + + if (this.NITER == 1 && this.IUSER[2] > 0) { + System.out.printf( + " Arnoldi basis vectors used:%4d\n", this.NCV + ); + System.out.printf( + " The following Ritz values (mu) are related to the\n" + + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" + ); + } + + System.out.println(); + System.out.printf(" Iteration number %4d\n", this.NITER); + System.out.printf( + " Ritz values converged so far(%4d) and their Ritz" + + " estimates:\n", this.NCONV + ); + + for (int i = 0; i < this.NCONV; i++) { + System.out.printf( + " %4d %13.5E %13.5E\n", i+1, this.W[i], this.RZEST[i] + ); + } + + System.out.printf(" Next (uncoverged) Ritz value:\n"); + System.out.printf( + " %4d %13.5E\n", this.NCONV + 1, this.W[this.NCONV + 1] + ); + + } + + this.ISTAT = 0; + + } + + } + + /** + * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based + * Java index. + * + *

    Fortran array definition: + * a(dimX, *) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + +} diff --git a/simple_examples/source/int32/F02WGJE.java b/simple_examples/source/int32/F02WGJE.java new file mode 100644 index 0000000..36c26c6 --- /dev/null +++ b/simple_examples/source/int32/F02WGJE.java @@ -0,0 +1,132 @@ +import com.nag.routines.F02.F02WG; +import java.util.Arrays; + +/** + * F02WG example program text. + * @author joed + */ +public class F02WGJE { + + public static AV av = new AV(); + + public static void main(String[] args) { + int ifail, k, ldu, ldv, m, n, nconv, ncv; + double[] resid, sigma, u, v; + double[] ruser = new double[1]; + int[] iuser = new int[1]; + + /* Set up wrappers */ + F02WG f02wg = new F02WG(); + + System.out.println(" F02WGJ Example Program Results\n"); + + /* Set F02WG args */ + m = 100; + n = 500; + k = 4; + ncv = 10; + nconv = 0; + ldu = m; + ldv = n; + resid = new double[ncv]; + sigma = new double[ncv]; + u = new double[ldu * ncv]; + v = new double[ldv * ncv]; + ifail = 0; + + /* Call routine */ + f02wg.eval( + m, // Rows in A + n, // Cols in A + k, // Num. of singular values to be computed + ncv, // Dimension of sigma and resid + av, // Subroutine that returns Ax or (A^T)x + nconv, // [Output] + sigma, // [Output] + u, // [Output] + ldu, // 1st dimension of u + v, // [Output] + ldv, // 1st dimension of v + resid, // [Output] + iuser, + ruser, + ifail + ); + + /* Get non-array output args */ + ifail = f02wg.getIFAIL(); + nconv = f02wg.getNCONV(); + + /* Print results */ + System.out.println(" Singular Value Residual"); + for (int i = 0; i < nconv; i++) { + System.out.printf( + " %10.5f %10.2G\n", sigma[i], resid[i] + ); + } + + } + + public static class AV extends F02WG.Abstract_F02WG_AV { + + public void eval() { + + double H = 1.0 / ((double)(this.M + 1)); + double K = 1.0 / ((double)(this.N + 1)); + + if (this.IFLAG == 1) { + + for (int i = 0; i < this.M; i++) { + this.AX[i] = 0.0; + } + + double S = 0.0; + double T = 0.0; + + for (int j = 0; j < this.N; j++) { + T += K; + S = 0.0; + + for (int i = 0; i < Math.min(j+1, this.M); i++) { + S += H; + this.AX[i] += K * S * (T - 1.0) * this.X[j]; + } + for (int i = j + 1; i < this.M; i++) { + S += H; + this.AX[i] += K * T * (S - 1.0) * this.X[j]; + } + + } + + } + else { + + for (int i = 0; i < this.N; i++) { + this.AX[i] = 0.0; + } + + double S = 0.0; + double T = 0.0; + + for (int j = 0; j < this.N; j++) { + T += K; + S = 0.0; + + for (int i = 0; i < Math.min(j+1, this.M); i++) { + S += H; + this.AX[j] += K * S * (T - 1.0) * this.X[i]; + } + for (int i = j + 1; i < this.M; i++) { + S += H; + this.AX[j] += K * T * (S - 1.0) * this.X[i]; + } + + } + + } + + } + + } + +} diff --git a/simple_examples/source/int32/F03BAJE.java b/simple_examples/source/int32/F03BAJE.java new file mode 100644 index 0000000..673ddec --- /dev/null +++ b/simple_examples/source/int32/F03BAJE.java @@ -0,0 +1,108 @@ +import com.nag.routines.F03.F03BA; +import com.nag.routines.F07.F07AD; +import com.nag.routines.X04.X04CA; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * F03BAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class F03BAJE{ + + /** + * F03BAJ example main program. + */ + public static void main(String[] args){ + double d = 0; + int id = 0, ifail, info = 0, lda = 0, n = 0; + double[] a; + int[] ipiv; + + //Should initialise values so java doesn't give any errors because of try/catch + a = new double[n]; + ipiv = new int[n]; + + System.out.println("F03BAJ Example Program Results"); + + //If file name not given print usage info + if(args.length != 1){ + F03BAJE.usage(); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[1]); + + lda = n; + + //reallocate with values from data file + a = new double[n * lda]; + ipiv = new int[n]; + + //read in matrix + for(int i = 0; i < n; i++){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < n; j++){ + a[i + (j * n)] = Double.parseDouble(sVal[j]); + } + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + F07AD f07ad = new F07AD(n, n, a, lda, ipiv, info); + f07ad.eval(); + + ifail = 0; + + //Print out matrix + System.out.println(); + X04CA x04ca = new X04CA("G", "N", n, n, a, lda, "Array A after factorization", ifail); + x04ca.eval(); + + System.out.println(); + System.out.println("Pivots"); + for(int i = 0; i < n; i++){ + System.out.printf("\t%d ", ipiv[i]); + } + System.out.printf("\n"); + System.out.println(); + + ifail = 0; + + F03BA f03ba = new F03BA(n, a, lda, ipiv, d, id, ifail); + f03ba.eval(); + d = f03ba.getD(); + id = f03ba.getID(); + + System.out.printf("D = \t%.5f ID = \t%d\n", d, id); + System.out.println(); + System.out.printf("Value of determinant = %.5e\n", d * Math.pow(2.0, id)); + + } + + /** + * Print usage information. + */ + private static void usage(){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + +} + diff --git a/simple_examples/source/int32/F04AMJE.java b/simple_examples/source/int32/F04AMJE.java new file mode 100644 index 0000000..a498b2b --- /dev/null +++ b/simple_examples/source/int32/F04AMJE.java @@ -0,0 +1,114 @@ +import com.nag.routines.F04.F04AM; +import com.nag.routines.X02.X02AJ; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * F04AMJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class F04AMJE{ + + /** + * F04AMJ example main program. + */ + public static void main(String[] args){ + int m = 0, n = 0; + int ifail, ir, lda, ldb, ldqr, ldx; + double eps; + double[] a, b, alpha, e, qr, r, x, y, z; + int[] ipiv; + + System.out.println("F04AMJ Example Program Results"); + + if(args.length != 1){ + F04AMJE.usage(); + } + + //declare so try/catch works + a = new double[0]; + b = new double[0]; + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + m = Integer.parseInt(sVal[1]); + n = Integer.parseInt(sVal[2]); + + a = new double[m * n]; + b = new double[m * 1]; + + for(int i = 0; i < m; i++){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < n; j++){ + a[i + (j * m) ] = Double.parseDouble(sVal[j]); + } + for(int j = n; j < m; j++){ + b[i + (j * (m - (n + 1)))] = Double.parseDouble(sVal[j]); + } + } + } + catch(FileNotFoundException err){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException err){ + System.err.println("***FATAL: Can't read " + filename + "\n" + err.getMessage()); + } + //Setting these in try block is more robust but less neat + //May be needed for array sizes~ + ir = 1; + lda = m; + ldb = m; + ldqr = m; + ldx = n; + + alpha = new double[n]; + e = new double[n]; + qr = new double[ldqr * n]; + r = new double[m]; + x = new double[ldx * ir]; + y = new double[n]; + z = new double[n]; + ipiv = new int[n]; + + X02AJ x02aj = new X02AJ(); + eps = x02aj.eval(); + + ifail = 0; + + F04AM f04am = new F04AM(a, lda, x, ldx, b, ldb, m, n, ir, eps, qr, ldqr, alpha, e, y, z, r, ipiv, ifail); + f04am.eval(); + //update any values you want here + x = f04am.getX(); + + System.out.println("Solution"); + for(int i = 0; i < n; i++){ + for(int j = 0; j < ir; j++){ + System.out.printf("%.4f ", x[j + (i * ir)]); + } + System.out.printf("\n"); + } + } + + /** + * No arguments supplied when example runs + */ + private static void usage() { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} + + + + + + diff --git a/simple_examples/source/int32/F04BAJE.java b/simple_examples/source/int32/F04BAJE.java new file mode 100644 index 0000000..79c2b01 --- /dev/null +++ b/simple_examples/source/int32/F04BAJE.java @@ -0,0 +1,144 @@ +import com.nag.routines.F04.F04BA; +import com.nag.routines.X04.X04CA; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * F04BAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class F04BAJE{ + + /** + * F04BAJ example main program. + */ + public static void main(String[] args){ + int n = 0, nrhs = 0, lda = 0, ldb = 0; //placeholder + int ierr, ifail; + double errbnd, rcond; + double a[], b[]; + int ipiv[]; + + a = new double[0]; b = new double[0]; //placeholder + + if(args.length != 1){ + F04BAJE.usage(); + } + + System.out.println("F04BAJ Example Program Results"); + System.out.println(); + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[1]); + nrhs = Integer.parseInt(sVal[2]); + + lda = n; + ldb = n; + + a = new double[lda * n]; + b = new double[ldb * nrhs]; + + line = reader.readLine(); + for(int i = 0; i < lda; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < n; j++){ + a[i + (j * n)] = Double.parseDouble(sVal[j + 1]); + } + } + + line = reader.readLine(); + for(int i = 0; i < ldb; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < nrhs; j++){ + b[i + (j * n)] = Double.parseDouble(sVal[j + 1]); + } + } + + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = 1; + ipiv = new int[n]; + rcond = 0; + errbnd = 0; + F04BA f04ba = new F04BA(n, nrhs, a, lda, ipiv, b, ldb, rcond, errbnd, ifail); + f04ba.eval(); + + ifail = f04ba.getIFAIL(); + rcond = f04ba.getRCOND(); + errbnd = f04ba.getERRBND(); + ipiv = f04ba.getIPIV(); + a = f04ba.getA(); + b = f04ba.getB(); + + if(ifail == 0){ + //Print solution, estimate of condition number and approximate error bound. + ierr = 0; + X04CA x04ca = new X04CA("General", " ", n, nrhs, b, ldb, "Solution", ierr); + x04ca.eval(); + + System.out.println(); + System.out.println("Estimate of condition number"); + System.out.printf("%.1e\n", 1/rcond); + System.out.println(); + System.out.println("Esttimate of error bound for computed solutions"); + System.out.printf("%.1e\n", errbnd); + } + else if(ifail == (n + 1)){ + //Matrix A is numerically singular. Print estimate of reciprocal of condition number and solution. + System.out.println(); + System.out.println("Estimate of reciprocal of condition number"); + System.out.printf("%.1e\n", rcond); + System.out.println(); + + ierr = 0; + X04CA x04ca = new X04CA("General", " ", n, nrhs, b, ldb, "Solution", ierr); + x04ca.eval(); + } + else if(ifail > 0 && ifail <= n){ + //The upper triangular matrix U is exactly singular. Print details of factorization. + System.out.println(); + + ierr = 0; + X04CA x04ca = new X04CA("General", " ", n, n, a, lda, "Details of factorization", ierr); + x04ca.eval(); + + System.out.println(); + System.out.println("Pivot indices"); + for(int i = 0; i < n; i++){ + System.out.printf("%d ", ipiv[i]); + } + System.out.printf("\n"); + } + else{ + System.out.printf(" ** F04BAF returned with IFAIL = %d\n", ifail); + } + + } + + /** + * No arguments supplied when example runs + */ + private static void usage() { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} diff --git a/simple_examples/source/int32/F05AAJE.java b/simple_examples/source/int32/F05AAJE.java new file mode 100644 index 0000000..317c269 --- /dev/null +++ b/simple_examples/source/int32/F05AAJE.java @@ -0,0 +1,99 @@ +import com.nag.routines.F05.F05AA; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * F05AAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class F05AAJE{ + + /** + * F05AAJ example main program. + */ + public static void main(String[] args) { + //Should initialise values to avoid issues with try/catch + int icol = 0, ifail = 0, lda = 0, m = 0, n1 = 0, n2 = 0; + double cc = 0; + double[] a, s; + + //same as ints + a = new double[1]; + s = new double[1]; + System.out.println("F05AAJ Example Program Results"); + System.out.println(); + + //supply data + if(args.length != 1){ + F05AAJE.usage(); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+");; + m = Integer.parseInt(sVal[1]); + n1 = Integer.parseInt(sVal[2]); + n2 = Integer.parseInt(sVal[3]); + lda = m; + + a = new double[lda*n2]; + s = new double[n2]; + + //read in a from data + for(int i = 0; i < n2; i++){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < m; j++){ + a[i + (j * n2)] = Double.parseDouble(sVal[j]); + } + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + //create object then eval + F05AA f05aa = new F05AA(a, lda, m, n1, n2, s, cc, icol, ifail); + f05aa.eval(); + + //update values + n1 = f05aa.getN1(); + n2 = f05aa.getN2(); + cc = f05aa.getCC(); + icol = f05aa.getICOL(); + a = f05aa.getA(); + + System.out.printf("N1 = %d N2 = %d\n", n1, n2); + System.out.println(); + System.out.printf("CC = %.4f ICOL = %d\n", cc, icol); + System.out.println(); + System.out.println("Final Vectors"); + + for(int i = 0; i < n2; i++){ + for(int j = 1; j < m; j++){ + System.out.printf("%.4f ", a[i +(j * n2)]); + } + System.out.printf("\n"); + } + } + + /** + * Print usage information. + */ + private static void usage(){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} + diff --git a/simple_examples/source/int32/F06CLJE.java b/simple_examples/source/int32/F06CLJE.java new file mode 100644 index 0000000..ca2ac5e --- /dev/null +++ b/simple_examples/source/int32/F06CLJE.java @@ -0,0 +1,40 @@ +import com.nag.routines.F06.F06CL; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +/** + * F06CL example program text. + * @author ludovic + */ +public class F06CLJE { + + public static void main(String[] args) { + boolean fail = false; + NAGComplex z1 = new NAGComplex(); + NAGComplex z2 = new NAGComplex(); + NAGComplex z3 = new NAGComplex(); + + System.out.println(" F06CLJ Example Program Results"); + System.out.println(); + + Routine.complex = z1; + + z1.setRe(1.0); + z1.setIm(1.0); + z2.setRe(2.0); + z2.setIm(2.0); + + F06CL f06cl = new F06CL(z1,z2,fail); + z3 = (NAGComplex)f06cl.eval(); + fail = f06cl.getFAIL(); + + if (fail) { + System.err.println(" Something went wrong..."); + } + else { + System.out.println(" " + z1.toString() + "/"+ z2.toString() + " = " + z3.toString()); + } + + } + +} diff --git a/simple_examples/source/int32/F07AAJE.java b/simple_examples/source/int32/F07AAJE.java new file mode 100644 index 0000000..26eb5dc --- /dev/null +++ b/simple_examples/source/int32/F07AAJE.java @@ -0,0 +1,90 @@ +import com.nag.routines.F07.F07AA; +import com.nag.routines.X04.X04CA; +import java.util.Arrays; + +/** + * F07AA example program text. + * @author joed + */ +public class F07AAJE { + + public static void main(String[] args) { + + int i, ifail, info, lda, ldb, n; + double[] a, b; + int[] ipiv; + + System.out.println(" F07AAJ Example Program Results"); + System.out.println(); + + n = 4; + lda = n; + ldb = n; + + a = new double[n*n]; + b = new double[n]; + ipiv = new int[n]; + + a[0+0*n] = 1.80; + a[0+1*n] = 2.88; + a[0+2*n] = 2.05; + a[0+3*n] = -0.89; + a[1+0*n] = 5.25; + a[1+1*n] = -2.95; + a[1+2*n] = -0.95; + a[1+3*n] = -3.80; + a[2+0*n] = 1.58; + a[2+1*n] = -2.69; + a[2+2*n] = -2.90; + a[2+3*n] = -1.04; + a[3+0*n] = -1.11; + a[3+1*n] = -0.66; + a[3+2*n] = -0.59; + a[3+3*n] = 0.80; + + b[0] = 9.52; + b[1] = 24.35; + b[2] = 0.77; + b[3] = -6.22; + + /* Solve the equations Ax = b for x */ + + F07AA f07aa = new F07AA(); + info = 0; + f07aa.eval(n, 1, a, lda, ipiv, b, ldb, info); + info = f07aa.getINFO(); + + if (info == 0) { + + /* Print solution */ + + System.out.println(" Solution"); + for (i = 0; i < n; i++) { + System.out.printf(" %11.4f", b[i]); + } + System.out.printf("\n"); + + /* Print details of factorization */ + + System.out.println(); + X04CA x04ca = new X04CA(); + ifail = 0; + x04ca.eval("General", " ", n, n, a, lda, "Details of factorization", ifail); + + /* Print pivot indices */ + + System.out.println(); + System.out.println(" Pivot indices"); + for (i = 0; i < n; i++) { + System.out.printf(" %11d", ipiv[i]); + } + System.out.printf("\n"); + + } + else { + System.err.printf(" The (%3d,%3d) element of the factor U is zero\n", info, info); + } + + } + +} diff --git a/simple_examples/source/int32/F07ABJE.java b/simple_examples/source/int32/F07ABJE.java new file mode 100644 index 0000000..6362739 --- /dev/null +++ b/simple_examples/source/int32/F07ABJE.java @@ -0,0 +1,134 @@ +import com.nag.routines.F07.DGESVX; +import com.nag.routines.X04.X04CA; + +/** + * F07ABJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class F07ABJE{ + + /** + * F07ABJ example main program + */ + public static void main(String[] args){ + double rcond = 0; + int ifail, info = 0, lda, ldaf, ldb, ldx, n, nrhs; //placeholders + String equed; + double[] a, af, b, berr, c, ferr, r, work, x; + int[] ipiv, iwork; + + System.out.println("F07ABJ Example Program Results"); + System.out.println(); + + //Problem size + n = 4; + nrhs = 2; + lda = n; + ldaf = n; + ldb = n; + ldx = n; + + //Allocate + a = new double[lda * n]; + af = new double[ldaf * n]; + b = new double[ldb * nrhs]; + berr = new double[nrhs]; + c = new double[n]; + ferr = new double[nrhs]; + r = new double[n]; + work = new double[4 * n]; + x = new double[ldx * nrhs]; + ipiv = new int[n]; + iwork = new int[n]; + equed = " "; + + //Matrices A and B + a[0] = 1.8; + a[1] = 525; + a[2] = 1.58; + a[3] = -1.11; + a[4] = 2.88; + a[5] = -295; + a[6] = -2.69; + a[7] = -0.66; + a[8] = 2.05; + a[9] = -95; + a[10] = -2.9; + a[11] = -0.59; + a[12] = -0.89; + a[13] = -380; + a[14] = -1.04; + a[15] = 0.8; + b[0] = 9.52; + b[1] = 2435; + b[2] = 0.77; + b[3] = -6.22; + b[4] = 18.47; + b[5] = 225; + b[6] = -13.28; + b[7] = -6.21; + + //Solve the equations AX = B for X + //The NAG name equivalent of dgesvx is f07abf + DGESVX dgesvx = new DGESVX("Equilibration", "No Transpose", n, nrhs, a, lda, af, ldaf, ipiv, equed, r, + c, b, ldb, x, ldx, rcond, ferr, berr, work, iwork, info); + dgesvx.eval(); + + //Update + info = dgesvx.getINFO(); + equed = dgesvx.getEQUED(); + rcond = dgesvx.getRCOND(); + + if(info == 0 || info == n + 1){ + //Print solution, error bounds, condition number, the form of equilibration and the pivot growth factor + + //ifail: behaviour on error exit + // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft + ifail = 0; + X04CA x04ca = new X04CA("General", " ", n, nrhs, x, ldx, "Solution(s)", ifail); + x04ca.eval(); + + System.out.println(); + System.out.println("Backward errors (machine-dependent)"); + for(int i = 0; i < nrhs; i++){ + System.out.printf(" %.1e ", berr[i]); + } + System.out.println(); + System.out.println(); + System.out.println("Estimated forward error bounds (machine-dependent)"); + for(int i = 0; i < nrhs; i++){ + System.out.printf(" %.1e ", ferr[i]); + } + System.out.println(); + System.out.println(); + if(equed.equals("N")){ + System.out.println("A has not been equilibrated"); + } + else if(equed.equals("R")){ + System.out.println("A has been row scaled as diag(R)*A"); + } + else if(equed.equals("C")){ + System.out.println("A has been column scaled as A*diag(C)"); + } + else if(equed.equals("B")){ + System.out.println("A has been row and column scaled as diag(R)*A*diag(C)"); + } + System.out.println(); + System.out.println("Reciprocal condition number estimate of scaled matrix"); + System.out.printf(" %.1e\n", rcond); + System.out.println(); + System.out.println("Estimate of reciprocal pivot growth factor"); + System.out.printf(" %.1e\n", work[0]); + System.out.println(); + + if(info == n + 1){ + System.out.println(); + System.out.println("The matrix A is singular to working precision"); + } + } + else{ + System.out.println("The (" + info + ", " + info + ")" + " element of the factor U is zero"); + } + } +} diff --git a/simple_examples/source/int32/F07ADJE.java b/simple_examples/source/int32/F07ADJE.java new file mode 100644 index 0000000..4450683 --- /dev/null +++ b/simple_examples/source/int32/F07ADJE.java @@ -0,0 +1,72 @@ +import com.nag.routines.F07.DGETRF; +import com.nag.routines.X04.X04CA; + +/** + * F07ADJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class F07ADJE{ + + /** + * F07ADJ Example main program + */ + public static void main(String[] args){ + int ifail, info = 0, lda, m, n; + double[] a; + int[] ipiv; + + System.out.println("F07ADJ Example Program Results"); + System.out.println(); + + //Problem size (can be read from data file) + m = 4; + n = 4; + lda = m; + + //Data + ipiv = new int[n]; + a = new double[m * n]; + a[0] = 1.8; + a[1] = 5.25; + a[2] = 1.58; + a[3] = -1.11; + a[4] = 2.88; + a[5] = -2.95; + a[6] = -2.69; + a[7] = -0.66; + a[8] = 2.05; + a[9] = -0.95; + a[10] = -2.9; + a[11] = -0.59; + a[12] = -0.89; + a[13] = -3.8; + a[14] = -1.04; + a[15] = 0.8; + + //Factorize A + //The NAG name equivalent of dgetrf is F07ADF + DGETRF dgetrf = new DGETRF(m, n, a, lda, ipiv, info); + dgetrf.eval(); + + //Update + info = dgetrf.getINFO(); + + //ifail: behaviour on error exit + // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft + ifail = 0; + X04CA x04ca = new X04CA("General", " ", m, n, a, lda, "Details of factorization", ifail); + x04ca.eval(); + + //Print pivot indices + System.out.println("IPIV"); + for(int i = 0; i < Math.min(m, n); i++){ + System.out.printf("\t%d", ipiv[i]); + } + System.out.println(); + + if(info != 0){ + System.out.println("The factor U is singular"); + } + } +} diff --git a/simple_examples/source/int32/F07AQJE.java b/simple_examples/source/int32/F07AQJE.java new file mode 100644 index 0000000..5ee47e5 --- /dev/null +++ b/simple_examples/source/int32/F07AQJE.java @@ -0,0 +1,99 @@ +import com.nag.routines.F07.F07AQ; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; +import com.nag.types.NAGComplexF; + +/** + * F07AQ example program text. + * @author joed + * @since 27.1.0.0 + */ +public class F07AQJE { + + public static void main(String[] args) { + + F07AQ f07aq = new F07AQ(); + int info, iter, lda, ldb, ldx, n, r; + NAGComplex[] a, b, work, x; + NAGComplexF[] swork; + double[] rwork; + int[] ipiv; + + System.out.println(" F07AQJ Example Program Results"); + System.out.println(); + + // Set dimensions and instantiate arrays + n = 4; + r = 1; + lda = ldb = ldx = n; + a = new NAGComplex[lda*n]; + b = new NAGComplex[ldb*r]; + work = (NAGComplex[]) (new NAGComplex()).getArrayOfInstances(n*r); + x = (NAGComplex[]) (new NAGComplex()).getArrayOfInstances(ldx*r); + swork = (NAGComplexF[]) (new NAGComplexF()).getArrayOfInstances(n*(n+r)); + ipiv = new int[n]; + rwork = new double[n]; + + // Set A + a[0] = new NAGComplex(-1.34, 2.55); // Column 1 + a[1] = new NAGComplex(-0.17, -1.41); + a[2] = new NAGComplex(-3.29, -2.39); + a[3] = new NAGComplex(2.41, 0.39); + a[4] = new NAGComplex(0.28, 3.17); // Column 2 + a[5] = new NAGComplex(3.31, -0.15); + a[6] = new NAGComplex(-1.91, 4.42); + a[7] = new NAGComplex(-0.56, 1.47); + a[8] = new NAGComplex(-6.39, -2.20); // Column 3 + a[9] = new NAGComplex(-0.15, 1.34); + a[10] = new NAGComplex(-0.14, -1.35); + a[11] = new NAGComplex(-0.83, -0.69); + a[12] = new NAGComplex(0.72, -0.92); // Column 4 + a[13] = new NAGComplex(1.29, 1.38); + a[14] = new NAGComplex(1.72, 1.35); + a[15] = new NAGComplex(-1.96, 0.67); + + // Set B + b[0] = new NAGComplex(26.26,51.78); + b[1] = new NAGComplex( 6.43,-8.68); + b[2] = new NAGComplex(-5.75,25.31); + b[3] = new NAGComplex( 1.16, 2.57); + + // Notify wrappers of complex types + Routine.setComplex(new NAGComplex()); + Routine.setComplexF(new NAGComplexF()); + + // Solve the equations Ax = b for x + iter = info = 0; + f07aq.eval(n, r, a, lda, ipiv, b, ldb, x, ldx, work, swork, rwork, iter, info); + iter = f07aq.getITER(); + info = f07aq.getINFO(); + + if (info == 0) { + + // Print solution + + System.out.println(" Solution"); + for (int i = 0; i < n; i++) { + for (int j = 0; j < r; j++) { + System.out.printf(" (%7.4f,%7.4f)", x[j*n+i].getRe(), x[j*n+i].getIm()); + } + } + System.out.println(); + + // Print pivot indices + + System.out.println(); + System.out.println(" Pivot indices"); + for (int i = 0; i < n; i++) { + System.out.printf(" %11d", ipiv[i]); + } + System.out.println(); + + } + else { + System.out.printf(" The (%3d,%3d) element of the factor U is zero", info, iter); + } + + } + +} diff --git a/simple_examples/source/int32/F07FAJE.java b/simple_examples/source/int32/F07FAJE.java new file mode 100644 index 0000000..e516051 --- /dev/null +++ b/simple_examples/source/int32/F07FAJE.java @@ -0,0 +1,79 @@ +import com.nag.routines.F07.F07FA; +import com.nag.routines.X04.X04CA; + +/** + * F07FA example program text. + * @author saraht + */ +public class F07FAJE { + + public static void main(String[] args) { + + int i, ifail, info, lda, n; + double[] a, b; + + System.out.println(" F07FAJ Example Program Results"); + System.out.println(); + + n = 4; + lda = n; + + a = new double[n*n]; + b = new double[n]; + + /* A = 4.16 -3.12 0.56 -0.10 + 5.03 -0.83 1.18 + 0.76 0.34 + 1.18 */ + + a[0+0*n] = 4.16; + a[0+1*n] = -3.12; + a[0+2*n] = 0.56; + a[0+3*n] = -0.10; + + a[1+1*n] = 5.03; + a[1+2*n] = -0.83; + a[1+3*n] = 1.18; + + a[2+2*n] = 0.76; + a[2+3*n] = 0.34; + + a[3+3*n] = 1.18; + + b[0] = 8.70; + b[1] = -13.35; + b[2] = 1.89; + b[3] = -4.14; + + /* Solve the equations Ax = b for x */ + + F07FA f07fa = new F07FA(); + info = 0; + f07fa.eval("Upper", n, 1, a, lda, b, n, info); + info = f07fa.getINFO(); + + if (info == 0) { + + /* Print solution */ + + System.out.println(" Solution"); + for (i = 0; i < n; i++) { + System.out.printf(" %11.4f", b[i]); + } + System.out.printf("\n"); + + /* Print details of factorization */ + + System.out.println(); + X04CA x04ca = new X04CA(); + ifail = 0; + x04ca.eval("Upper", "Non-unit diagonal", n, n, a, lda, "Cholesky factor U", ifail); + + } + else { + System.err.printf(" The leading minor of order %d is not positive definite \n", info); + } + + } + +} diff --git a/simple_examples/source/int32/F07FBJE.java b/simple_examples/source/int32/F07FBJE.java new file mode 100644 index 0000000..09bbd37 --- /dev/null +++ b/simple_examples/source/int32/F07FBJE.java @@ -0,0 +1,122 @@ +import com.nag.routines.F07.F07FB; +import com.nag.routines.X04.X04CA; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * F07FB example program text. + * @author ludovic + */ +public class F07FBJE { + + public static void main(String[] args) { + String fact,uplo,equed; + int n, nrhs,lda,ldaf,ldb,ldx; + int[] iwork; + double rcond; + double[] a,af,s,b,x,ferr,berr,work; + int info,ifail; + lda = 4; + ldaf = lda; + ldb = lda; + ldx = lda; + nrhs = 2; + n = 4; + a = new double[lda*lda]; + af = new double[ldaf*ldaf]; + b = new double[ldb*nrhs]; + berr = new double[nrhs]; + ferr = new double[nrhs]; + s = new double[lda]; + work = new double[3*lda]; + x = new double[ldx*nrhs]; + iwork = new int[lda]; + info = 1; + rcond = Double.NaN; + fact = "E"; + uplo = "U"; + equed = "Z";//dummy value + /*A = 4.16 -3.12 0.56 -0.10 + 5.03 -0.83 1.18 + 0.76 0.34 + 1.18*/ + a[0] = 4.16; + + a[4] = -3.12; + a[5] = 5.03; + + a[8] = 0.56; + a[9] = -0.83; + a[10] = 0.76; + + a[12] = -0.10; + a[13] = 1.18; + a[14] = 0.34; + a[15] = 1.18; + + /*B= 8.70 8.30 + -13.35 2.13 + 1.89 1.61 + - 4.14 5.00*/ + b[0] = 8.70; + b[1] = -13.35; + b[2] = 1.89; + b[3] = -4.14; + + b[4] = 8.30; + b[5] = 2.13; + b[6] = 1.61; + b[7] = 5.00; + + System.out.println(" F07FBJ Example Program Results"); + System.out.println(); + + F07FB f07fb = new F07FB(fact, uplo, n, nrhs, a, lda, af, ldaf, equed, s, b, + ldb, x, ldx, rcond, ferr, berr, work, iwork, info); + f07fb.eval(); + fact = f07fb.getFACT(); + uplo = f07fb.getUPLO(); + equed = f07fb.getEQUED(); + rcond = f07fb.getRCOND(); + info = f07fb.getINFO(); + + + if ((info == 0) || (info == n+1)) { + ifail = 0; + (new X04CA()).eval("General"," ",n,nrhs,x,ldx,"Solution(s)",ifail); + System.out.println(); + System.out.println(" Backward errors (machine-dependent)"); + System.out.print(" "); + for (int ii = 0; ii < nrhs; ++ii) { + System.out.printf(" %11.1e",berr[ii]); + } + System.out.println("\n"); + System.out.println(" Estimated forward error bounds (machine-dependent)"); + System.out.print(" "); + for (int ii = 0; ii < nrhs; ++ii) { + System.out.printf(" %11.1e",ferr[ii]); + } + System.out.println("\n"); + System.out.println(" Estimate of reciprocal condition number"); + System.out.printf(" %11.1e\n",rcond); + System.out.println(); + if (equed.equalsIgnoreCase("N")) { + System.out.println(" A has not been equilibrated"); + } + else if (equed.equalsIgnoreCase("N")) { + System.out.println(" A has been row and column scaled as diag(S)*A*diag(S)"); + } + + if (info == n+1) { + System.out.println(); + System.out.println(" The matrix A is singular to working precision"); + } + + } + else { + System.out.printf(" The leading minor of order %3d is not positive definite\n"); + } + + } + +} diff --git a/simple_examples/source/int32/F08BTJE.java b/simple_examples/source/int32/F08BTJE.java new file mode 100644 index 0000000..43c219b --- /dev/null +++ b/simple_examples/source/int32/F08BTJE.java @@ -0,0 +1,228 @@ +import static java.lang.Math.*; + +import com.nag.routines.F06.F06JJ; +import com.nag.routines.F06.F06ZJ; +import com.nag.routines.F08.F08AU; +import com.nag.routines.F08.F08BT; +import com.nag.routines.Routine; +import com.nag.routines.X04.X04DB; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.regex.Matcher; +import java.util.regex.Pattern; + +/** + * F08BT example program text. + * @author ludovic + */ +public class F08BTJE { + + public static void main(String[] args) throws FileNotFoundException, IOException { + int incl = 1, nb = 64; + double tol; + int ifail, info = 0, k, lda, ldb, lwork, m, n, nrhs; + NAGComplex[] a, b, tau, work; + double[] rnorm, rwork; + int[] jpvt; + String[] clabs = new String[]{" "}, rlabs = new String[]{" "}; + + // Setup complex constants + NAGComplex one = new NAGComplex(); + NAGComplex zero = new NAGComplex(); + one.setRe(1.0); + one.setIm(0.0); + zero.setRe(0.0); + zero.setIm(0.0); + + // Inform the Routine class of the type of complex in use - can use any complex object + Routine.complex = one; + + System.out.println(" F08BTJ Example Program Results"); + System.out.println(); + + // Read values from data file + BufferedReader br = new BufferedReader(new FileReader(args[0])); + String line = br.readLine(); + line = br.readLine().trim(); + line = br.readLine().trim(); + String[] vals = line.split("\\s+"); + m = Integer.parseInt(vals[0].trim()); + n = Integer.parseInt(vals[1].trim()); + nrhs = Integer.parseInt(vals[2].trim()); + lda = ldb = m; + lwork = (n + 1) * nb; + a = new NAGComplex[lda * n]; + b = new NAGComplex[ldb * nrhs]; + tau = new NAGComplex[n]; + work = new NAGComplex[lwork]; + rnorm = new double[nrhs]; + rwork = new double[2 * n]; + jpvt = new int[n]; + + // Actually initialize the complex arrays + for (int i = 0; i < a.length; ++i) { + a[i] = new NAGComplex(); + } + for (int i = 0; i < b.length; ++i) { + b[i] = new NAGComplex(); + } + for (int i = 0; i < tau.length; ++i) { + tau[i] = new NAGComplex(); + } + for (int i = 0; i < work.length; ++i) { + work[i] = new NAGComplex(); + } + + /* Read A and B from data file */ + + readCompMatrix(br, a, lda, n); + readCompMatrix(br, b, ldb, nrhs); + br.close(); + + /* Initialize JPVT to be zero so that all columns are free */ + + for (int i = 0; i < n; ++i) { + jpvt[i] = 0; + } + + /* Compute the QR factorization of A */ + + F08BT f08bt = new F08BT(m, n, a, lda, jpvt, tau, work, lwork, rwork, info); + f08bt.eval(); + + /* Compute C = (C1) = (Q**H)*B, storing the result in B (C2) */ + + String side = "Left"; + String conjTrans = "Conjugate Transpose"; + F08AU f08au = new F08AU(side, conjTrans, m, nrhs, n, a, lda, tau, b, ldb, work, lwork, info); + f08au.eval(); + a = (NAGComplex[])f08au.getA(); + + /* Choose TOL to reflect the relative accuracy of the input data */ + + tol = 0.01; + + /* Determine and print the rank, K, or R relative to TOL */ + + for (k = 1; k < n + 1; ++k) { + if (abs(a[k - 1 + lda * (k - 1)]) <= tol * abs(a[0])) { + break; + } + } + k = k - 1; + + System.out.println(" Tolerance used to estimate the rank of A"); + System.out.printf(" %11.2E\n", tol); + System.out.println(" Estimated rank of A"); + System.out.printf(" %8d\n", k); + + /* Compute least squares solutions by back-substitution in R(1:K,1:K)*Y = C1 + * storing the result in B */ + + String upDown = "Upper"; + String trans = "No transpose"; + String unit = "Non-Unit"; + F06ZJ f06zj = new F06ZJ(side, upDown, trans, unit, k, nrhs, one, a, lda, b, ldb); + f06zj.eval(); + + /* Compute estimates of the square roots of the residual sums of squares + * (2-norm of each of the columns of C2) */ + + int mMinusK = m - k; + NAGComplex[] btmp = new NAGComplex[b.length]; + for (int i = 0; i < btmp.length; ++i) { + btmp[i] = new NAGComplex(); + } + System.arraycopy(b, k, btmp, 0, b.length - k); + + F06JJ f06jj = new F06JJ(mMinusK, btmp, incl); + rnorm[0] = f06jj.eval(mMinusK, btmp, incl); + System.arraycopy(btmp, 0, b, k, b.length - k); + for (int j = 1; j < nrhs; ++j) { + System.arraycopy(b, k + j * ldb, btmp, 0, b.length - k - j * ldb); + rnorm[j] = f06jj.eval(mMinusK, btmp, incl); + System.arraycopy(btmp,0, b, k + j * ldb, b.length - k - j * ldb); + } + + /* Set the remaining elements of the solutions to zero (to give the + * basic solutions) */ + + for (int i = k; i < n; ++i) { + for (int j = 0; j < nrhs; ++j) { + NAGComplex tmp = new NAGComplex(); + tmp.setRe(0.0); + tmp.setIm(0.0); + b[i + j * ldb] = tmp; + } + } + + /* Permute the least squares solution stored in B to give X = P*Y */ + + for (int j = 0; j < nrhs; j++) { + for (int i = 0; i < n; i++) { + work[jpvt[i] - 1] = b[j*ldb + i]; + } + for (int i = 0; i < n; i++) { + b[j*ldb + i] = work[i]; + } + } + + /* Print least squares solutions */ + + X04DB x04db = new X04DB(); + ifail = 0; + x04db.eval("General"," ",n,nrhs,b,ldb,"Bracketed","F7.4","Least squares solution(s)", + "Integer",rlabs,"Integer",clabs,80,0,ifail); + + /* Print the square roots of the residual sums of squares */ + + System.out.println(); + System.out.println(" Square root(s) of the residual sum(s) of squares"); + System.out.printf(" "); + for (int i = 0; i < nrhs; ++i) { + System.out.printf("%11.2E", rnorm[i]); + } + System.out.println(); + + } + + private static void readCompMatrix(BufferedReader br, NAGComplex[] mat, int row, + int col) throws IOException { + + // matches one complex number (without the brackets...) + String complexPat = "\\(([,0-9\\.\\-\\+\\s]*)\\)"; + String fullPattern = complexPat; + for (int i = 0; i < col -1; ++i) { + fullPattern = fullPattern + "\\s*" + complexPat; + } + fullPattern = fullPattern + ".*"; + Pattern comppat = Pattern.compile(fullPattern); + + for (int i = 0; i < row; ++i) { + String line = br.readLine().trim(); + if (line.equalsIgnoreCase("")) { + line = br.readLine().trim(); + } + Matcher m = comppat.matcher(line.trim()); + if (m.matches()) { + for (int j = 0; j < col; ++j) { + String[] numbers = m.group(j + 1).trim().split(","); + mat[i + j * row].setRe(Double.parseDouble(numbers[0].trim())); + mat[i + j * row].setIm(Double.parseDouble(numbers[1].trim())); + // System.out.print("mat["+i+","+j+"]=("+numbers[0].trim()+","+numbers[1].trim()+") "); + } + // System.out.println(); + } + + + } + } + + private static double abs(NAGComplex z) { + return sqrt(z.getRe() * z.getRe() + z.getIm() * z.getIm()); + } + +} diff --git a/simple_examples/source/int32/F08FAJE.java b/simple_examples/source/int32/F08FAJE.java new file mode 100644 index 0000000..028f854 --- /dev/null +++ b/simple_examples/source/int32/F08FAJE.java @@ -0,0 +1,113 @@ +import com.nag.routines.F08.DDISNA; +import com.nag.routines.F08.F08FA; +import com.nag.routines.F16.F16JQ; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X04.X04CA; +import java.util.Arrays; +import java.util.logging.Level; +import java.util.logging.Logger; + + +/** + * F08FA example program text. + * @author ludovic + */ +public class F08FAJE { + + public static void main(String[] args) { + int n = 4, LWork = n*64, lda = n; + double[] a, w, work,zerrbd,rcondz, colVector; + int info = 0, ifail = 0, k = 0; + a = new double[n * n]; + w = new double[n]; + work = new double[LWork]; + zerrbd = new double[n]; + rcondz = new double[n]; + colVector = new double[n]; + + System.out.println(" F08FAJ Example Program Results\n"); + + //array a : Stored in column major way + + a[0] = 1.0; + a[1] = 2.0; + a[2] = 3.0; + a[3] = 4.0; + + a[4] = 2.0; + a[5] = 2.0; + a[6] = 3.0; + a[7] = 4.0; + + a[8] = 3.0; + a[9] = 3.0; + a[10] = 3.0; + a[11] = 4.0; + + a[12] = 4.0; + a[13] = 4.0; + a[14] = 4.0; + a[15] = 4.0; + + //initializing the info parameter + info = 0; + w[0] = Double.NaN; + w[1] = Double.NaN; + w[2] = Double.NaN; + w[3] = Double.NaN; + F08FA f08fa = new F08FA("V", "U", n, a, n, w, work, LWork, info); + f08fa.eval(); + info = f08fa.getINFO(); + + if (info == 0) { + System.out.println(" Eigenvalues"); + System.out.print(" "); + for (int i = 0; i < n; ++i) { + System.out.printf(" %8.4f",w[i]); + } + System.out.println(); + + // Normalize the eigenvectors: largest element positive + F16JQ f16jq = new F16JQ(); // aka blas_damax_val + for (int i = 0; i < n; i++) { + System.arraycopy(a, 4*i, colVector, 0, 4); // Form vector to evaluate + f16jq.eval(n, colVector, 1, k, 0.0); // Get index of largest (absolute) value + k = f16jq.getK() - 1; // Make index zero based + + // Invert sign of column if largest element is negative + if (a[(4*i)+k] < 0) { + for (int j = 0; j < n; j++) { + a[(4*i)+j] = (-1) * a[(4*i)+j]; + } + } + + } + + (new X04CA()).eval("General"," ",n,n,a,lda,"Eigenvectors",ifail); + + double eps = (new X02AJ()).eval(); + double eerrbd = eps*Math.max(Math.abs(w[0]),Math.abs(w[n-1])); + + (new DDISNA()).eval("Eigenvectors",n,n,w,rcondz,info); + for (int i = 0; i < n; ++i) { + zerrbd[i] = eerrbd/rcondz[i]; + } + + System.out.println(); + System.out.println(" Error estimate for the eigenvalues"); + System.out.printf(" %11.1e\n",eerrbd); + System.out.println(); + System.out.println(" Error estimates for the eigenvectors"); + for (int i = 0; i < n; ++i) { + System.out.printf(" %11.1e",zerrbd[i]); + } + System.out.println(); + + } + else { + System.out.printf(" Failure in DSYEV. INFO =%4d",info); + } + + } + +} diff --git a/simple_examples/source/int32/F08XPJE.java b/simple_examples/source/int32/F08XPJE.java new file mode 100644 index 0000000..cc894d3 --- /dev/null +++ b/simple_examples/source/int32/F08XPJE.java @@ -0,0 +1,297 @@ +import com.nag.routines.F06.F06UA; +import com.nag.routines.F06.F06BN; +import com.nag.routines.F06.ZGEMM; +import com.nag.routines.F08.ZGGESX; +import com.nag.routines.M01.M01DA; +import com.nag.routines.M01.M01ED; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X04.X04DB; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * F08XPJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class F08XPJE{ + + public static boolean chkfac = false; + public static boolean prcond = false; + public static boolean prmat = false; + public static int nb = 64; + + /* + * F08XPJ Example main program + */ + public static void main(String[] args){ + NAGComplex alph, bet; + double abnorm, anorm, bnorm, eps, normd, norme, tol; + int ifail, info = 0, lda, ldb, ldc, ldd, lde, ldvsl, ldvsr, liwork, lwork, n, sdim = 0; + boolean factor; + NAGComplex[] a, alpha, b, beta, c, d, e, vsl, vsr, work, dummy; + double[] rconde, rcondv, rwork; + int[] idum, iwork; + boolean[] bwork; + String[] clabs, rlabs; + + //Placeholders + idum = new int[1]; + rconde = new double[2]; + rcondv = new double[2]; + dummy = NAGComplex.createArray(1); + + System.out.println("F08XPJ Example Program Results"); + System.out.println(); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + //Tell wrappers what time of complex type is going to be used + Routine.setComplex(new NAGComplex()); + + //n declared here for neater code but can be read in from data file + n = 4; + lda = n; + ldb = n; + ldc = n; + ldd = n; + lde = n; + ldvsl = n; + ldvsr = n; + + //Allocate + a = NAGComplex.createArray(lda * n); + alpha = NAGComplex.createArray(n); + b = NAGComplex.createArray(ldb * n); + beta = NAGComplex.createArray(n); + c = NAGComplex.createArray(ldc * n); + d = NAGComplex.createArray(ldd * n); + e = NAGComplex.createArray(lde * n); + vsl = NAGComplex.createArray(ldvsl * n); + vsr = NAGComplex.createArray(ldvsr * n); + rwork = new double[8 * n]; + bwork = new boolean[n]; + clabs = new String[1]; + clabs[0] = " "; + rlabs = new String[1]; + rlabs[0] = " "; + + //Use routine workspace query to get optimal workspace + lwork = -1; + liwork = -1; + //The NAG name equivalent of zggesx is f08xpf + selctg selctg1 = new selctg(); + ZGGESX zggesx = new ZGGESX("Vectors (left)", "Vectors (right)", "Sort", selctg1, "Both reciprocal condition numbers", + n, a, lda, b, ldb, sdim, alpha, beta, vsl, ldvsl, vsr, ldvsr, rconde, rcondv, dummy, lwork, + rwork, idum, liwork, bwork, info); + zggesx.eval(); + + //Make sure that there is a enough workspace for block size nb + lwork = Math.max((n * nb) + (n * n/2), (int) Math.rint(dummy[0].getRe())); + liwork = Math.max(n + 2, idum[0]); + work = NAGComplex.createArray(lwork); + iwork = new int[liwork]; + + //Read in matrices A and B + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); // skip header + line = reader.readLine(); //skip n (set manually for neater code) + String[] sVal; + + for(int i = 0; i < 2; i++){ + for(int j = 0; j < n; j++){ + line = reader.readLine(); + sVal = line.split("\\)"); + for(int k = 0; k < n; k++){ + if(i == 0){ + a[(k * n) + j] = parseComplex(sVal[k]); + } + else{ + b[(k * n) + j] = parseComplex(sVal[k]); + } + } + } + } + + } + catch(FileNotFoundException err){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException err){ + System.err.println("***FATAL: Can't read " + filename + "\n" + err.getMessage()); + } + + if(chkfac){ + for(int i = 0; i < a.length; i++){ + //Copy A and B into D and E respectively + d[i] = a[i]; + e[i] = b[i]; + } + } + + //Find the Forbenius norms of A and B + //The NAG name equivalent of the LAPACK auxiliary zlange is f06uaf + F06UA f06ua = new F06UA(); + anorm = f06ua.eval("Frobenius", n, n, a, lda, rwork); + bnorm = f06ua.eval("Frobenius", n, n, b, ldb, rwork); + + if(prmat){ + //Print matrices A and B + //ifail : behaviour on error exit + // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft + ifail = 0; + X04DB x04db = new X04DB("General", " ", n, n, a, lda, "Bracketed", "F8.4", "Matrix A", "Integer", + rlabs, "Integer", clabs, 80, 0, ifail); + x04db.eval(); + System.out.println(); + + ifail = 0; + x04db = new X04DB("General", " ", n, n, b, ldb, "Bracketed", "F8.4", "Matrix B", "Integer", + rlabs, "Integer", clabs, 80, 0, ifail); + x04db.eval(); + System.out.println(); + } + + factor = true; + //Find the generalized Schur form + //The NAG name equivalent of zggesx is f08xpf + zggesx = new ZGGESX("Vectors (left)", "Vectors (right)", "Sort", selctg1, "Both reciprocal condition numbers", + n, a, lda, b, ldb, sdim, alpha, beta, vsl, ldvsl, vsr, ldvsr, rconde, rcondv, work, lwork, + rwork, iwork, liwork, bwork, info); + zggesx.eval(); + + //update + sdim = zggesx.getSDIM(); + + if(info != 0 && info != (n + 2)){ + System.out.printf("Failure in ZGGESX. INFO = %d\n", info); + factor = false; + } + else if(chkfac){ + //Compute A - Q*S*Z^H from the factorization of (A,B) and store in matrix D + //The NAG name equivalent of zgemm is f06zaf + alph = new NAGComplex(1, 0); + bet = new NAGComplex(0, 0); + ZGEMM zgemm = new ZGEMM("N", "N", n, n, n, alph, vsl, ldvsl, a, lda, bet, c, ldc); + zgemm.eval(); + + alph = new NAGComplex(-1, 0); + bet = new NAGComplex(1, 0); + zgemm = new ZGEMM("N", "C", n, n, n, alph, c, ldc, vsr, ldvsr, bet, d, ldd); + zgemm.eval(); + + //Compute B - Q*T*Z^H from the factorization of (A,B) and store in matrix E + alph = new NAGComplex(1, 0); + bet = new NAGComplex(0, 0); + zgemm = new ZGEMM("N", "N", n, n, n, alph, vsl, ldvsl, b, ldb, bet, c, ldc); + zgemm.eval(); + + alph = new NAGComplex(-1, 0); + bet = new NAGComplex(1, 0); + zgemm = new ZGEMM("N", "C", n, n, n, alph, c, ldc, vsr, ldvsr, bet, e, lde); + zgemm.eval(); + + //Find norms of matrices D and E and warn if either is too large + f06ua = new F06UA("0", ldd, n, d, ldd, rwork); + normd = f06ua.eval(); + X02AJ x02aj = new X02AJ(); + if(normd > Math.pow(x02aj.eval(), 0.75)){ + System.out.println("Norm of A-(Q*S*Z^T) is much greater than 0."); + factor = false; + System.out.println("Schur factorization has failed"); + } + f06ua = new F06UA("0", lde, n, e, lde, rwork); + norme = f06ua.eval(); + if(norme > Math.pow(x02aj.eval(), 0.75)){ + System.out.println("Norm of B-(Q*T*Z^T is much greater than 0."); + factor = false; + } + } + + if(factor){ + //Print eigenvalue details + System.out.printf("Number of eigenvalues for which SELCTG is true = %d\n", sdim); + System.out.println("(dimension of deflating subspaces)"); + + System.out.println(); + //Print selected (finite) generalized eigenvalues + System.out.println("Selected generalized eigenvalues"); + + //Store absolute values of eigenvalues for ranking + for(int i = 0; i < n; i++){ + work[i] = alpha[i].divide(beta[i]); + rwork[i] = NAGComplex.abs(work[i]); + } + + //Rank eigenvalues + ifail = 0; + M01DA m01da = new M01DA(rwork, 1, sdim, "Descending", iwork, ifail); + m01da.eval(); + + //Sort eigevalues in work + M01ED m01ed = new M01ED(work, 1, sdim, iwork, ifail); + m01ed.eval(); + for(int i = 0; i < sdim; i++){ + System.out.printf(" %d\t(%.2f, %.2f)\n", i + 1, work[i].getRe(), work[i].getIm()); + } + + if(info == n + 2){ + System.out.println("*** note that rounding errors mean that leading eigenvalues in"); + System.out.println("the generalized Schur form no longer satisfy SELCTG = TRUE"); + System.out.println(); + } + + if(prcond){ + //Compute the machine precision and sqrt(anorm^2 + bnorm^2) + X02AJ x02aj = new X02AJ(); + eps = x02aj.eval(); + F06BN f06bn = new F06BN(anorm, bnorm); + abnorm = f06bn.eval(); + tol = eps * abnorm; + + //Print out the reciprocal condition numbers and error bound for selected eigenvalues + System.out.println("Reciprocal condition numbers for the average of the selected"); + System.out.println("eigenvalues and their asymptotic error bound"); + System.out.printf("rcond-left = %.1e, rcond-right = %.1e, error = %.1e\n", rcondv[0], rcondv[1], tol/rcondv[1]); + } + } + else{ + System.out.println("Schur factorization has failed"); + } + + } + + /** + * Converts String read in from data file to NAGComplex value. + * @param s + * Complex number string + * @return new NAGComplex representing s + */ + public static NAGComplex parseComplex(String s){ + s = s.trim(); + double re = Double.parseDouble(s.substring(1, 7)); + double im = Double.parseDouble(s.substring(8)); + return new NAGComplex(re, im); + } + + /** + * Class representing function selctg implementing ZGGESX_SELCTG to pass to ZGGESX. + */ + public static class selctg extends ZGGESX.Abstract_ZGGESX_SELCTG{ + public boolean eval(){ + return (NAGComplex.abs((NAGComplex)this.A) < (6 * NAGComplex.abs((NAGComplex)this.B))); + } + } + +} diff --git a/simple_examples/source/int32/G01ALJE.java b/simple_examples/source/int32/G01ALJE.java new file mode 100644 index 0000000..672a151 --- /dev/null +++ b/simple_examples/source/int32/G01ALJE.java @@ -0,0 +1,55 @@ +import com.nag.routines.G01.G01AL; + +/** + * G01ALJ Example Program Text + * @author willa + * @since 27.1.0.0 + */ +public class G01ALJE{ + + /** + * G01ALJ Example main program + */ + public static void main(String[] args){ + int ifail, n; + double[] x, res; + int[] iwrk; + + res = new double[5]; + + System.out.println("G01ALJ Example Program Results"); + System.out.println(); + + //Problem size + n = 12; + + //Allocate + x = new double[n]; + iwrk = new int[n]; + + //Data + x[0] = 12; + x[1] = 9; + x[2] = 2; + x[3] = 5; + x[4] = 6; + x[5] = 8; + x[6] = 2; + x[7] = 7; + x[8] = 3; + x[9] = 1; + x[10] = 11; + x[11] = 10; + + //Calculate summary statistics + ifail = 0; + G01AL g01al = new G01AL(n, x, iwrk, res, ifail); + g01al.eval(); + + System.out.printf("Maximum %.4f\n", res[4]); + System.out.printf("Upper Hinge (75%% quantile) %.4f\n", res[3]); + System.out.printf("Median (50%% quantile) %.4f\n", res[2]); + System.out.printf("Lower Hinge (25%% quantile) %.4f\n", res[1]); + System.out.printf("Minimum %.4f\n", res[0]); + } +} diff --git a/simple_examples/source/int32/G02AKJE.java b/simple_examples/source/int32/G02AKJE.java new file mode 100644 index 0000000..8ddaff2 --- /dev/null +++ b/simple_examples/source/int32/G02AKJE.java @@ -0,0 +1,68 @@ +import com.nag.routines.G02.G02AK; +import com.nag.routines.X04.X04CA; + +/** + * G02AK example program text. + * @author joed + * @since 27.0.0.0 + */ +public class G02AKJE { + + /** + * G02AKJ example main program. + */ + public static void main(String[] args) { + + G02AK g02ak = new G02AK(); + X04CA x04ca = new X04CA(); + double errtol, f, rankerr, ranktol; + int i, ifail, ldg, ldx, maxit, maxits, n, nsub, rank; + double[] g, x; + + System.out.println("G02AKJ Example Program Results\n"); + + // Problem size + n = 4; + ldg = n; + ldx = n; + + // Rank constraint + rank = 2; + + // Matrix G (column-major) + g = new double[]{ + 2.0, -1.0, 0.0, 0.0, + -1.0, 2.0, -1.0, 0.0, + 0.0, -1.0, 2.0, -1.0, + 0.0, 0.0, -1.0, 2.0 + }; + + // Use the defaults for errtol, ranktol, maxits, maxit + errtol = 0.0; + ranktol = 0.0; + maxits = 0; + maxit = 0; + + // Calculate rank constrained nearest correlation matrix + ifail = 0; + x = new double[ldx*n]; + f = 0.0; + rankerr = 0.0; + nsub = 0; + g02ak.eval(g, ldg, n, rank, errtol, ranktol, maxits, maxit, x, ldx, f, + rankerr, nsub, ifail); + nsub = g02ak.getNSUB(); + f = g02ak.getF(); + rankerr = g02ak.getRANKERR(); + + // Display results + ifail = 0; + x04ca.eval("General", " ", n, n, x, ldx, "NCM with rank constraint", ifail); + System.out.println(); + System.out.printf("Number of subproblems solved: %12d\n\n", nsub); + System.out.printf("Squared Frobenius norm of difference: %9.4f\n\n", f); + System.out.printf("Rank error: %35.4f\n", rankerr); + + } + +} diff --git a/simple_examples/source/int32/G02BJJE.java b/simple_examples/source/int32/G02BJJE.java new file mode 100644 index 0000000..3de843e --- /dev/null +++ b/simple_examples/source/int32/G02BJJE.java @@ -0,0 +1,303 @@ +import com.nag.routines.G02.G02BJ; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * G02BJ example program text. + * @author ludovic + */ +public class G02BJJE { + + public static void main(String[] args) { + int i, ifail, ldcnt, ldr, ldssp, ldx, ncases = 0; //, m = 0, n = 0, nvars = 0; + double[] cnt, r, ssp, std, xbar;//, xmiss; + + if (args.length != 1) { + G02BJJE.usage(); + } + + String dataFile = args[0]; + DataHolder data = new DataHolder(); + readDataFile(dataFile, data); + System.out.println(" G02BJJ Example Program Results"); + System.out.println(); + + ldcnt = ldr = ldssp = data.nvars; + ldx = data.n; + cnt = new double[ldcnt * data.nvars]; + r = new double[ldr * data.nvars]; + ssp = new double[ldssp * data.nvars]; + std = new double[data.nvars]; + xbar = new double[data.nvars]; + + + //Display the data + + System.out.printf(" Number of variables (columns) = %5d\n", data.m); + System.out.printf(" Number of cases (rows) = %5d\n", data.n); + System.out.println(); + System.out.println(" Data matrix is:-"); + for (int ii = 0; ii < data.m; ++ii) { + System.out.printf(" %12d",ii+1); + } + System.out.println(); + for (int ii = 0; ii < data.n; ++ii) { + System.out.printf(" %3d ",ii+1); + for (int jj = 0; jj < data.m; ++jj) { + System.out.printf("%12.4f ",data.x[ii + jj * data.n]); + } + System.out.println(); + } + + ifail = 0; + G02BJ g02bj = new G02BJ(data.n, data.m, data.x, ldx, data.miss, data.xmiss, + data.nvars, data.kvar, xbar, std, ssp, ldssp, r, ldr, ncases, cnt, + ldcnt, ifail); + g02bj.eval(); + + data.n = g02bj.getN(); + data.m = g02bj.getM(); + data.x = g02bj.getX(); + ldx = g02bj.getLDX(); + data.miss = g02bj.getMISS(); + data.xmiss = g02bj.getXMISS(); + data.nvars = g02bj.getNVARS(); + data.kvar = g02bj.getKVAR(); + xbar = g02bj.getXBAR(); + std = g02bj.getSTD(); + ssp = g02bj.getSSP(); + ldssp = g02bj.getLDSSP(); + r = g02bj.getR(); + ldr = g02bj.getLDR(); + ncases = g02bj.getNCASES(); + cnt = g02bj.getCNT(); + ldcnt = g02bj.getLDCNT(); + ifail = g02bj.getIFAIL(); + + //Display results + System.out.println(); + System.out.println(" Variable\tMean\tSt.dev."); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %5d %11.4f %11.4f\n",data.kvar[ii], xbar[ii], std[ii]); + } + System.out.println(); + System.out.println(" Sums of squares and cross-products of deviations"); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %12d",data.kvar[ii]); + } + System.out.println(); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %3d",data.kvar[ii]); + for (int jj = 0; jj < data.nvars; ++jj) { + System.out.printf(" %12.4f",ssp[ii + ldssp * jj]); + } + System.out.println(); + } + System.out.println(); + System.out.println(" Correlation coefficients"); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %12d",data.kvar[ii]); + } + System.out.println(); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %3d",data.kvar[ii]); + for (int jj = 0; jj < data.nvars; ++jj) { + System.out.printf(" %12.4f",r[ii + ldr * jj]); + } + System.out.println(); + } + System.out.println(); + System.out.printf(" Minimum number of cases used for any pair of variables: %5d\n", ncases); + System.out.println(); + System.out.println(" Numbers used for each pair are:"); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %12d",data.kvar[ii]); + } + System.out.println(); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %3d",data.kvar[ii]); + for (int jj = 0; jj < data.nvars; ++jj) { + System.out.printf(" %12.4f",cnt[ii + ldcnt * jj]); + } + System.out.println(); + } + System.out.println(); + } + + private static void usage() { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + /** + G02BJF Example Program Data + 5 4 3 :: N, M, NVARS + 3.0 3.0 1.0 2.0 + 6.0 4.0 -1.0 4.0 + 9.0 0.0 5.0 9.0 + 12.0 2.0 0.0 0.0 + -1.0 5.0 4.0 12.0 :: End of X + 1 1 0 1 :: MISS + -1.0 0.0 0.0 0.0 :: XMISS + 4 1 2 :: KVAR + */ + private static void readDataFile(String filename, DataHolder data) { + try { + BufferedReader br = new BufferedReader(new FileReader(filename)); + String line = br.readLine(); // skip header + line = br.readLine(); + String[] sVal = line.split("\\s+"); + data.setN(Integer.parseInt(sVal[0])); + data.setM(Integer.parseInt(sVal[1])); + data.setNvars(Integer.parseInt(sVal[2])); + + data.x = new double[data.n * data.m]; + data.miss = new int[data.m]; + data.xmiss = new double[data.m]; + data.kvar = new int[data.nvars]; + + for (int i = 0; i < data.n; ++i) { + line = br.readLine().trim(); + sVal = line.split("\\s+"); + for (int j = 0; j < data.m; ++j) { + data.x[i + j * data.n] = Double.parseDouble(sVal[j]); + } + } + line = br.readLine().trim(); + sVal = line.split("\\s+"); + for (int j = 0; j < data.m; ++j) { + data.miss[j] = Integer.parseInt(sVal[j]); + } + line = br.readLine().trim(); + sVal = line.split("\\s+"); + for (int j = 0; j < data.m; ++j) { + data.xmiss[j] = Double.parseDouble(sVal[j]); + } + + line = br.readLine().trim(); + sVal = line.split("\\s+"); + for (int j = 0; j < data.nvars; ++j) { + data.kvar[j] = Integer.parseInt(sVal[j]); + } + } + catch (FileNotFoundException ex) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch (IOException ex) { + System.err.println("***FATAL: Can't Read " + filename + "\n" + ex.getMessage()); + System.exit(-3); + } + + } + + private static class DataHolder { + private int n; + private int m; + private int nvars; + private double[] x; + private int[] miss; + private double[] xmiss; + private int[] kvar; + + /** + * @return the n + */ + public int getN() { + return n; + } + + /** + * @param n the n to set + */ + public void setN(int n) { + this.n = n; + } + + /** + * @return the m + */ + public int getM() { + return m; + } + + /** + * @param m the m to set + */ + public void setM(int m) { + this.m = m; + } + + /** + * @return the nvars + */ + public int getNvars() { + return nvars; + } + + /** + * @param nvars the nvars to set + */ + public void setNvars(int nvars) { + this.nvars = nvars; + } + + /** + * @return the x + */ + public double[] getX() { + return x; + } + + /** + * @param x the x to set + */ + public void setX(double[] x) { + this.x = x; + } + + /** + * @return the miss + */ + public int[] getMiss() { + return miss; + } + + /** + * @param miss the miss to set + */ + public void setMiss(int[] miss) { + this.miss = miss; + } + + /** + * @return the xmiss + */ + public double[] getXmiss() { + return xmiss; + } + + /** + * @param xmiss the xmiss to set + */ + public void setXmiss(double[] xmiss) { + this.xmiss = xmiss; + } + + /** + * @return the kvar + */ + public int[] getKvar() { + return kvar; + } + + /** + * @param kvar the kvar to set + */ + public void setKvar(int[] kvar) { + this.kvar = kvar; + } + } +} diff --git a/simple_examples/source/int32/G02BRJE.java b/simple_examples/source/int32/G02BRJE.java new file mode 100644 index 0000000..084f478 --- /dev/null +++ b/simple_examples/source/int32/G02BRJE.java @@ -0,0 +1,134 @@ +import com.nag.routines.G02.G02BR; + +/** + * G02BRJ Example Program Text + * @author willa + * @since 27.1.0.0 + */ +public class G02BRJE{ + + /** + * G02BRJ Example main program + */ + public static void main(String[] args){ + int ifail, itype, ldrr, ldx, m, n, ncases = 0; //placeholder + double[] rr, work1, work2, x, xmiss; + int[] incase, kworka, kworkb, kworkc, miss; + + System.out.println("G02BRJ Example Program Results"); + System.out.println(); + + //Problem size + n = 9; + m = 3; + itype = 0; + + ldrr = m; + ldx = n; + + //Allocate + rr = new double[ldrr * m]; + work1 = new double[n]; + work2 = new double[n]; + x = new double[ldx * m]; + xmiss = new double[m]; + incase = new int[n]; + kworka = new int[n]; + kworkb = new int[n]; + kworkc = new int[n]; + miss = new int[m]; + + //Data + //X = (1.70, 1.00, 0.50) + // (2.80, 4.00, 3.00) + // (0.60, 6.00, 2.50) + // (1.80, 9.00, 6.00) + // (0.99, 4.00, 2.50) + // (1.40, 2.00, 5.50) + // (1.80, 9.00, 7.50) + // (2.50, 7.00, 0.00) + // (0.99, 5.00, 3.00) + x[0] = 1.7; + x[1] = 2.8; + x[2] = 0.6; + x[3] = 1.8; + x[4] = 0.99; + x[5] = 1.4; + x[6] = 1.8; + x[7] = 2.5; + x[8] = 0.99; + x[9] = 1; + x[10] = 4; + x[11] = 6; + x[12] = 9; + x[13] = 4; + x[14] = 2; + x[15] = 9; + x[16] = 7; + x[17] = 5; + x[18] = 0.5; + x[19] = 3; + x[20] = 2.5; + x[21] = 6; + x[22] = 2.5; + x[23] = 5.5; + x[24] = 7.5; + x[25] = 0; + x[26] = 3; + + //Missing value flags + miss[0] = 1; + miss[1] = 0; + miss[2] = 1; + xmiss[0] = 0.99; + xmiss[1] = 0; + xmiss[2] = 0; + + //Display data + System.out.printf("Number of variables (columns) = %d\n", m); + System.out.printf("Number of case (rows) = %d\n", n); + System.out.println(); + System.out.println("Data matrix is:-\n"); + System.out.println(); + for(int i = 0; i < m; i++){ + System.out.printf("\t %d", i + 1); + } + System.out.println(); + for(int i = 0; i < n; i++){ + System.out.printf(" %d\t", i + 1); + for(int j = 0; j < m; j++){ + System.out.printf("%.4f\t", x[(j * n) + i]); + } + System.out.println(); + } + System.out.println(); + + //Calculate correlation coefficients + ifail = 0; + G02BR g02br = new G02BR(n, m, x, ldx, miss, xmiss, itype, rr, ldrr, ncases, incase, kworka, kworkb, kworkc, + work1, work2, ifail); + g02br.eval(); + + //Update + ncases = g02br.getNCASES(); + + //Display results + System.out.println("Matrix of rank correlation coefficients:"); + System.out.println("Upper triangle -- Spearman's"); + System.out.println("Lower triangle -- Kendall's tau"); + System.out.println(); + for(int i = 0; i < m; i++){ + System.out.printf("\t %d", i + 1); + } + System.out.println(); + for(int i = 0; i < m; i++){ + System.out.printf(" %d\t", i + 1); + for(int j = 0; j < m; j++){ + System.out.printf("%.4f\t", rr[(j * m) + i]); + } + System.out.println(); + } + System.out.println(); + System.out.printf("Number of cases actually used: %d\n", ncases); + } +} diff --git a/simple_examples/source/int32/G02DAJE.java b/simple_examples/source/int32/G02DAJE.java new file mode 100644 index 0000000..c390197 --- /dev/null +++ b/simple_examples/source/int32/G02DAJE.java @@ -0,0 +1,187 @@ +import com.nag.routines.G02.G02BU; +import com.nag.routines.G02.G02DA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * G02DAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class G02DAJE{ + + /** + * G02DAJ Example main program + */ + public static void main(String[] args){ + double aic, arsq, en, mult, rsq, rss = 0, sw = 0, tol; + int idf = 0, ifail, ip, irank = 0, ldq, ldx, lwt, m, n; + boolean svd = false; + String mean, weight; + double[] b, cov, h, p, q, res, se, wk, wt, x, y, c, wmean; + int[] isx; + + System.out.println("G02DAJ Example Program Results"); + System.out.println(); + + c = new double[1]; + wmean = new double[1]; + + //Problem size (can be read in from data file + n = 12; + m = 4; + weight = "U"; + mean = "M"; + + if(weight.toLowerCase().equals("w")){ + lwt = n; + } + else{ + lwt = 0; + } + ldx = n; + + x = new double[ldx * m]; + y = new double[n]; + wt = new double[n]; + isx = new int[m]; + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + line = reader.readLine(); //skip n, m, weight, mean + + //Read in data + String[] sVal; + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < m; j++){ + x[(j * n) + i] = Double.parseDouble(sVal[j]); + } + y[i] = Double.parseDouble(sVal[m]); + if(lwt > 0){ + wt[i] = Double.parseDouble(sVal[m + 1]); + } + } + + //Read in variable inclusion flags + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int i = 0; i < m; i++){ + isx[i] = Integer.parseInt(sVal[i]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + System.exit(-2); + } + + //Calcluate IP + ip = 0; + for(int i = 0; i < m; i++){ + if(isx[i] == 1){ + ip++; + } + } + if(mean.toLowerCase().equals("m")){ + ip = ip + 1; + } + + //Allocate + ldq = n; + b = new double[ip]; + cov = new double[((ip * ip) + ip)/2]; + h = new double[n]; + p = new double[ip * ip * (ip + 2)]; + q = new double[ldq * (ip + 1)]; + res = new double[n]; + se = new double[ip]; + wk = new double[ip * ip + (5 * (ip - 1))]; + + //Use suggested value for tolerance + tol = 0.000001; + + //fit general linear regression model + ifail = -1; + G02DA g02da = new G02DA(mean, weight, n, x, ldx, m, isx, ip, y, wt, rss, idf, b, se, cov, res, h, q, + ldq, svd, irank, p, tol, wk, ifail); + g02da.eval(); + ifail = g02da.getIFAIL(); + if(ifail != 0){ + if(ifail != 5){ + System.exit(-3); + } + } + + //Calculate (weighted) total sums of squares, adjusted for mean if required + //If in G02DAF, an intercept is added to the regression by including a comlumn of + //1's in X, rather than by using the MEAN argument then MEAN = "M" should be used + //in this call to G02BUF + ifail = 0; + G02BU g02bu = new G02BU(mean, weight, n, 1, y, n, wt, sw, wmean, c, ifail); + g02bu.eval(); + + idf = g02da.getIDF(); + irank = g02da.getIRANK(); + //Get effective number of observations (=N if there are no zero weights) + en = (double) idf + irank; + + rss = g02da.getRSS(); + //Calculate R-squared, corrected R-Squared and AIC + rsq = 1 - rss/c[0]; + if(mean.toLowerCase().equals("m")){ + mult = (en - 1) / (en - irank); + } + else{ + mult = en / (en - irank); + } + arsq = 1 - mult * (1 - rsq); + aic = en * Math.log(rss/en) + (2 * irank); + + svd = g02da.getSVD(); + //Disply results + if(svd){ + System.out.printf("Model not of full rank, rank = %d", irank); + System.out.println(); + } + System.out.printf("Residual sum of squares = %.4e\n", rss); + System.out.printf("Degrees of freedom = %d\n", idf); + System.out.printf("R-squared = %.4e\n", rsq); + System.out.printf("Adjusted R-squared = %.4e\n", arsq); + System.out.printf("AIC = %.4e\n", aic); + System.out.println(); + System.out.printf("Variable\tParameter estimate\tStandard error\n"); + System.out.println(); + if(ifail == 0){ + for(int i = 0; i < ip; i++){ + System.out.printf(" %d\t\t %.4e\t\t %.4e\n", (i + 1), b[i], se[i]); + } + } + else{ + for(int i = 0; i < ip; i++){ + System.out.printf(" %d\t\t %.4e\n", (i + 1), b[i]); + } + } + System.out.println(); + System.out.printf(" Obs\t\t Residuals\t\t H\n"); + System.out.println(); + for(int i = 0; i < n; i++){ + System.out.printf(" %d\t\t %.4e\t\t %.4e\n", (i + 1), res[i], h[i]); + } + + } +} diff --git a/simple_examples/source/int32/G02EEJE.java b/simple_examples/source/int32/G02EEJE.java new file mode 100644 index 0000000..5856fde --- /dev/null +++ b/simple_examples/source/int32/G02EEJE.java @@ -0,0 +1,184 @@ +import com.nag.routines.G02.G02EE; +import java.io.*; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * G02EE example program text. + */ +public class G02EEJE { + + public static void main(String[] args) throws Exception { + int vnlen = 3; + double chrss, f, fin, rss; + rss = chrss = f = Double.NaN; + int idf = 0, ifail = 0, ifr = 0, istep = 0, ldq, ldx, lwt, m, maxip, n, nterm = 0; + boolean addvar = false; + String mean, weight, newvar; + newvar = " "; + double[] exss, p, q, wk, wt, x, y; + int[] isx; + String[] free, model, vname; + + System.out.println(" G02EEJ Example Program Results\n"); + + BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); + + String line = dataIn.readLine(); + + String[] data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); + + n = Integer.parseInt(data[0]); + m = Integer.parseInt(data[1]); + mean = data[2].substring(1,2); + weight = data[3].substring(1,2); + fin = Double.parseDouble(data[4]); + + if (weight.equalsIgnoreCase("W")) { + lwt = n; + } + else { + lwt = 0; + } + ldx = n; + + x = new double[ldx*m]; + y = new double[n]; + wt = new double[lwt]; + isx = new int[m]; + vname = new String[m]; + + for (int i = 0; i < vname.length;++i) { + StringBuilder tmp = new StringBuilder(); + for (int j = 0; j < vnlen; ++j) { + tmp.append(" "); + } + vname[i] = tmp.toString(); + } + + if (lwt > 0) { + for (int i = 0; i < n; ++i) { + data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); + for (int j = 0; j < m; ++j) { + x[i+j*ldx] = Double.parseDouble(data[j]); + } + y[i] = Double.parseDouble(data[m]); + wt[i] = Double.parseDouble(data[m+1]); + } + } + else { + for (int i = 0; i < n; ++i) { + data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); + for (int j = 0; j < m; ++j) { + x[i+j*ldx] = Double.parseDouble(data[j]); + } + y[i] = Double.parseDouble(data[m]); + } + } + data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); + for (int i = 0; i < m; ++i) { + isx[i] = Integer.parseInt(data[i]); + } + + data = dataIn.readLine().trim().split("::")[0].trim() + .replaceAll("^'","").replaceAll("'$","").split("'\\s+'"); + for (int i = 0; i < m; ++i) { + vname[i] = data[i].substring(0,3); + } + + dataIn.close(); + + maxip = 0; + for (int i = 0; i < m; ++i) { + if (isx[i] > 0) { + ++maxip; + } + } + + if (mean.equalsIgnoreCase("M")) { + maxip += 1; + } + + ldq = n; + model = new String[maxip]; + free = new String[maxip]; + exss = new double[maxip]; + q = new double[ldq*(maxip+2)]; + p = new double[maxip+1]; + wk = new double[2*maxip]; + + for (int i = 0; i < model.length; ++i) { + StringBuilder tmp = new StringBuilder(); + for (int j = 0; j < vnlen; ++j) { + tmp.append(" "); + } + model[i] = tmp.toString(); + } + for (int i = 0; i < free.length; ++i) { + StringBuilder tmp = new StringBuilder(); + for (int j = 0; j < vnlen; ++j) { + tmp.append(" "); + } + free[i] = tmp.toString(); + } + istep = 0; + ifail = -1; + + + G02EE g02ee = new G02EE(istep,mean,weight,n,m,x,ldx,vname,isx,maxip,y,wt,fin, + addvar,newvar,chrss,f,model,nterm,rss,idf,ifr,free,exss,q,ldq,p, + wk,ifail); + for (int i = 0; i < m; ++i) { + g02ee.setIFAIL(0); + g02ee.eval(); + + System.out.printf(" Step %2d\n",g02ee.getISTEP()); + if (!g02ee.getADDVAR()) { + System.out.printf(" No further variables added maximum F =%7.2f\n",g02ee.getF()); + System.out.print(" Free variables: "); + for (int j = 0; j < g02ee.getIFR(); ++j) { + System.out.print(" "+free[j]); + } + System.out.println(); + System.out.println(" Change in residual sums of squares for free variables:"); + for (int j = 0; j < g02ee.getIFR(); ++j) { + System.out.printf(" %9.4f",g02ee.getEXSS()[j]); + } + System.out.println(); + break; + } + else { + System.out.println(" Added variable is "+g02ee.getNEWVAR()); + System.out.printf(" Change in residual sum of squares = %12.4E\n",g02ee.getCHRSS()); + System.out.printf(" F Statistic = %7.2f\n",g02ee.getF()); + System.out.println(); + System.out.print(" Variables in model:"); + for (int j = 0; j < g02ee.getNTERM(); ++j) { + System.out.print(" "+g02ee.getMODEL()[j]); + } + System.out.println("\n"); + System.out.printf(" Residual sum of squares = %13.4E\n",g02ee.getRSS()); + System.out.printf(" Degrees of freedom = %2d\n",g02ee.getIDF()); + System.out.println(); + if (g02ee.getIFR() == 0) { + System.out.println(" No free variables remaining"); + break; + } + System.out.print(" Free variables: "); + for (int j = 0; j < g02ee.getIFR(); ++j) { + System.out.print(" "+free[j]); + } + System.out.println(); + System.out.println(" Change in residual sums of squares for free variables:"); + for (int j = 0; j < g02ee.getIFR(); ++j) { + System.out.printf(" %9.4f",g02ee.getEXSS()[j]); + } + System.out.println(); + + } + + } + + } + +} diff --git a/simple_examples/source/int32/G02MAJE.java b/simple_examples/source/int32/G02MAJE.java new file mode 100644 index 0000000..4a8bfcb --- /dev/null +++ b/simple_examples/source/int32/G02MAJE.java @@ -0,0 +1,130 @@ +import com.nag.routines.G02.G02MA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * G02MAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class G02MAJE{ + + /** + * G02MAJ example main program + */ + public static void main(String[] args){ + int ifail, ip, ldb, ldd, lisx, lropt, m, mnstep, mtype, n, nstep = 0, pred, prey; + double[] b, d, fitsum, ropt, y; + int[] isx; + + isx = new int[0]; //placeholder + + System.out.println("G02MAJ Example Program Results"); + System.out.println(); + + //data (Could also read in from data file) + //Problem size + n = 20; + m = 6; + + //Model Specification + mtype = 1; + pred = 3; + prey = 1; + mnstep = 6; + lisx = 0; + + //Variable inclusion flags aren't needed in this example + ip = m; + + //Optional arguments (using defaults) + lropt = 0; + ropt = new double[lropt]; + + //D and Y + ldd = n; + y = new double[n]; + d = new double[ldd * m]; + + //Read in D and Y from data file (too large to write out) + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + line = reader.readLine(); //skip N, M + line = reader.readLine(); //skip mtype, pred, prey, mnstep, lisx + + String sVal[]; + + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < m; j++){ + d[(j * n) + i] = Double.parseDouble(sVal[j]); + } + y[i] = Double.parseDouble(sVal[m]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + System.exit(-2); + } + + //Allocate output arrays + ldb = ip; + b = new double[ldb * (mnstep + 2)]; + fitsum = new double[6 * (mnstep + 1)]; + + //Call the model fitting routine + ifail = -1; + G02MA g02ma = new G02MA(mtype, pred, prey, n, m, d, ldd, isx, lisx, y, mnstep, ip, nstep, b, ldb, + fitsum, ropt, lropt, ifail); + g02ma.eval(); + ifail = g02ma.getIFAIL(); + if(ifail != 0){ + if(ifail != 112 && ifail != 161 && ifail != 162 && ifail !=163){ + //ifail = 112, 161, 162, 163 are warnings, so no need to terminate + System.exit(-2); + } + } + + //update + nstep = g02ma.getNSTEP(); + + //Display the parameter estimates + System.out.printf(" Step\t\t\tParameter Estimate\n"); + System.out.println("------------------------------------------------------"); + for(int i = 0; i < nstep; i++){ + System.out.printf(" %d", (i + 1)); + for(int j = 0; j < ip; j++){ + System.out.printf("\t%.3f", b[j + (i * nstep)]); + } + System.out.printf("\n"); + } + System.out.println(); + System.out.printf("alpha: %.3f\n", fitsum[nstep * 6]); + System.out.println(); + System.out.printf(" Step Sum\tRSS\t df\t Cp\t Ck\tStep Size\n"); + System.out.println("---------------------------------------------------------"); + for(int k = 0; k < nstep; k++){ + System.out.printf(" %d %.3f\t%.3f %d\t %.3f\t %.3f %.3f\n", (k + 1), fitsum[k * nstep], fitsum[(k * nstep) + 1], + (int)(Math.floor(fitsum[(k + nstep) + 2] + 0.5)), fitsum[(k * nstep) + 3], + fitsum[(k * nstep) + 4], fitsum[(k * nstep) + 5]); + } + System.out.println(); + System.out.printf("sigma^2: %.3f\n", fitsum[(nstep * 6) + 4]); + } +} diff --git a/simple_examples/source/int32/G03GAJE.java b/simple_examples/source/int32/G03GAJE.java new file mode 100644 index 0000000..ba20592 --- /dev/null +++ b/simple_examples/source/int32/G03GAJE.java @@ -0,0 +1,355 @@ +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.Arrays; +import com.nag.routines.G03.G03GA; +import com.nag.routines.X04.X04CA; +import com.nag.routines.Routine; + +/** + * G03GAJ example program text. + * @author willa + * @since 27.0.0.0 + */ +public class G03GAJE{ + + /** + * G03GAJ example main program. + */ + public static void main(String[] args){ + int i, ldx, lprob, riter, lds, sds, ifail = 0; + double[] w, g, s, f; + double tol, loglik = 0; + + if(args.length != 1){ + G03GAJE.usage(); + } + + // Data file name as argument + String filename = args[0]; + // DataHolder object to hold data read in from data file + DataHolder data = new DataHolder(); + + readDataFile(filename, data); + + System.out.println(" G03GAJ Example Program Results"); + System.out.println(); + + // Leading dimensions + ldx = data.n; + lprob = data.n; + + + switch(data.sopt){ + case 1: + s = new double[data.nvar * data.nvar * data.ng]; + lds = data.nvar; + sds = data.nvar; + break; + case 2: + s = new double[data.nvar * data.nvar * 1]; + lds = data.nvar; + sds = data.nvar; + break; + case 3: + s = new double[data.nvar * data.ng * 1]; + lds = data.nvar; + sds = data.ng; + break; + case 4: + s = new double[data.nvar * 1 * 1]; + lds = data.nvar; + sds = 1; + break; + default: + s = new double[1 * 1 * 1]; + lds = 1; + sds = 1; + break; + } + + // Allocate array size + g = new double[data.nvar * data.ng]; + w = new double[data.ng]; + f = new double[data.n * data.ng]; + tol = 0.0; + riter = 5; + + ifail = 0; + + // Create g03ga object with variables from data file + G03GA g03ga = new G03GA(data.n, data.m, data.x, ldx, data.isx, data.nvar, data.ng, data.popt, data.prob, + lprob, data.niter, riter, w, g, data.sopt, s, lds, sds, f, tol, loglik, ifail); + + // Run routine + g03ga.eval(); + + // Update variables + data.n = g03ga.getN(); + data.m = g03ga.getM(); + data.x = g03ga.getX(); + ldx = g03ga.getLDX(); + data.isx = g03ga.getISX(); + data.nvar = g03ga.getNVAR(); + data.ng = g03ga.getNG(); + data.popt = g03ga.getPOPT(); + data.prob = g03ga.getPROB(); + lprob = g03ga.getLPROB(); + data.niter = g03ga.getNITER(); + riter = g03ga.getRITER(); + w = g03ga.getW(); + g = g03ga.getG(); + data.sopt = g03ga.getSOPT(); + s = g03ga.getS(); + lds = g03ga.getLDS(); + sds = g03ga.getSDS(); + f = g03ga.getF(); + tol = g03ga.getTOL(); + loglik = g03ga.getLOGLIK(); + ifail = g03ga.getIFAIL(); + + // Results + X04CA x04ca = new X04CA(); + + System.out.println(); + ifail = 0; + x04ca.eval("g", "n", 1, data.ng, w, 1, "Mixing proportions", ifail); + + System.out.println(); + ifail = 0; + x04ca.eval("g", "n", data.nvar, data.ng, g, data.nvar, "Group means", ifail); + + System.out.println(); + switch(data.sopt){ + case 1: + for(i = 0; i < data.ng; i++){ + ifail = 0; + // Wrapper returns a 1-dimensional array so X04CA has to be called like this to mimic + // calling X04CA along the 3rd dimension + x04ca.eval("g", "n", data.nvar, data.nvar, + Arrays.copyOfRange(s, (i * (data.nvar * data.nvar)), (data.nvar * data.nvar * data.ng)), + lds, "Variance-cavariance matrix", ifail); + } + break; + case 2: + ifail = 0; + x04ca.eval("g", "n", data.nvar, data.nvar, s, lds, "Pooled Variance-covariance matrix", ifail); + break; + case 3: + ifail = 0; + x04ca.eval("g", "n", data.nvar, data.ng, s, lds, "Groupwise Variance", ifail); + break; + case 4: + ifail = 0; + x04ca.eval("g", "n", data.nvar, 1, s, lds, "Pooled Variance", ifail); + break; + case 5: + ifail = 0; + x04ca.eval("g", "n", 1, 1, s, lds, "Overall Variance", ifail); + break; + } + + System.out.println(); + ifail = 0; + x04ca.eval("g", "n", data.n, data.ng, f, data.n, "Densities", ifail); + + System.out.println(); + ifail = 0; + x04ca.eval("g", "n", data.n, data.ng, data.prob, data.n, "Membership probabilities", ifail); + + System.out.println(); + System.out.println("No. iterations: " + data.niter); + System.out.printf("Log-likelihood: %.04f\n", loglik); + } + + /** + * Read data from given filename and puts into DataHolder object + * @param filename + * Name of data file (absolute or relative path) + * @param data + * DataHolder object to store data from data file + */ + public static void readDataFile(String filename, DataHolder data){ + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + // Problem size + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + data.setN(Integer.parseInt(sVal[0])); + data.setM(Integer.parseInt(sVal[1])); + data.setNvar(Integer.parseInt(sVal[2])); + + // Number of groups + line = reader.readLine(); + sVal = line.split("\\s+"); + data.setNg(Integer.parseInt(sVal[0])); + + // Scaling option + line = reader.readLine(); + sVal = line.split("\\s+"); + data.setSopt(Integer.parseInt(sVal[0])); + + // Initial probabilities option + line = reader.readLine(); + sVal = line.split("\\s+"); + data.setPopt(Integer.parseInt(sVal[0])); + + // Maximum number of iterations + line = reader.readLine(); + sVal = line.split("\\s+"); + data.setNiter(Integer.parseInt(sVal[0])); + + // + data.x = new double[data.m * data.n]; + data.prob = new double[data.ng * data.n]; + data.isx = new int[data.m]; + + //Data matrix X + for(int i = 0; i < data.n; ++i){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < data.m; ++j){ + data.x[i + (j * data.n)] = Double.parseDouble(sVal[j]); + } + } + + //Included variables + if(data.nvar != data.m){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int i = 0; i < data.m; ++i){ + data.isx[i] = Integer.parseInt(sVal[i]); + } + } + + + //Optionally read initial probabilities of group memebership (included in example data) + if(data.popt == 2){ + for(int i = 0; i < data.n; ++i){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < data.ng; ++j){ + data.prob[i + (j * data.n)] = Double.parseDouble(sVal[j]); + } + } + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + + } + + /** + * Stores data from data file for later reference + */ + private static class DataHolder{ + private int n; + private int m; + private int nvar; + private int ng; + private int sopt; + private int popt; + private int niter; + private int isx[]; + private double x[]; + private double prob[]; + + public void setN(int n){ + this.n = n; + } + + public int getN(){ + return n; + } + + public void setM(int m){ + this.m = m; + } + + public int getM(){ + return m; + } + + public void setNvar(int nvar){ + this.nvar = nvar; + } + + public int getNvar(){ + return nvar; + } + + public void setNg(int ng){ + this.ng = ng; + } + + public int getNg(){ + return ng; + } + + public void setSopt(int sopt){ + this.sopt = sopt; + } + + public int getSopt(){ + return sopt; + } + + public void setPopt(int popt){ + this.popt = popt; + } + + public int getPopt(){ + return popt; + } + + public void setNiter(int niter){ + this.niter = niter; + } + + public int getNiter(){ + return niter; + } + + public void setIsx(int[] isx){ + this.isx = isx; + } + + public int[] getIsx(){ + return isx; + } + + public void setX(double[] x){ + this.x = x; + } + + public double[] getX(){ + return x; + } + + public void setProb(double[] prob){ + this.prob = prob; + } + + public double[] getProb(){ + return prob; + } + } + + /** + * No arguments supplied when example runs + */ + private static void usage() { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} + diff --git a/simple_examples/source/int32/G05KFJE.java b/simple_examples/source/int32/G05KFJE.java new file mode 100644 index 0000000..18ce755 --- /dev/null +++ b/simple_examples/source/int32/G05KFJE.java @@ -0,0 +1,105 @@ +import com.nag.routines.G05.G05KF; +import com.nag.routines.G05.G05SA; +import com.nag.routines.Routine; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * G05KFJ example program text. + * @author willa + * @since 27.0.0.0 + */ +public class G05KFJE{ + + /** + * G05KFJ example main program. + */ + public static void main(String[] args){ + //genid, subid only initilised so they can be set in try{} without java throwing error + int lseed = 1, nin = 5, nout = 6, genid = 0, n = 0, subid = 0; + int ifail, lstate; + int[] seed, state; + double x[]; + + System.out.println("G05KFJ Example Program Results"); + System.out.println(); + + //No file input given + if(args.length != 1){ + G05KFJE.usage(); + } + + seed = new int[lseed]; + + //Read in data from data fiel + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //Read in the base generator information and seed + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + genid = Integer.parseInt(sVal[0]); + subid = Integer.parseInt(sVal[1]); + seed[0] = Integer.parseInt(sVal[2]); + + //Read in sample size + line = reader.readLine(); + sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[0]); + + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + lstate = 0; + ifail = 0; + state = new int[lstate]; + + //Initial call to get size of STATE array + G05KF g05kf = new G05KF(genid, subid, seed, lseed, state, lstate, ifail); + g05kf.eval(); + + //Update local variables + lstate = g05kf.getLSTATE(); + state = g05kf.getSTATE(); + + //Reallocate STATE + state = new int[lstate]; + + //Update object variables + g05kf.setSTATE(state); + g05kf.eval(); + + //Update local variables + state = g05kf.getSTATE(); + + x = new double[n]; + + //Generate the variates + ifail = 0; + G05SA g05sa = new G05SA(n, state, x, ifail); + g05sa.eval(); + + //Display the variates + for(int i = 0; i < x.length; i++){ + System.out.printf("%.4f\n", x[i]); + } + } + + /** + * Print usage information. + */ + private static void usage(){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} diff --git a/simple_examples/source/int32/G13AWJE.java b/simple_examples/source/int32/G13AWJE.java new file mode 100644 index 0000000..9e829bd --- /dev/null +++ b/simple_examples/source/int32/G13AWJE.java @@ -0,0 +1,31 @@ +import com.nag.routines.G01.G01EW; +import com.nag.routines.G13.G13AW; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * G13AW example program text. + */ +public class G13AWJE { + + public static void main(String[] args) { + + int n = 30, type = 1, p = 1, ifail = 1, method = 1, nsamp = 0; + double[] y = {-217.,-177.,-166.,-136.,-110.,-95.,-64.,-37.,-14.,-25.,-51., + -62.,-73.,-88.,-113.,-120.,-83.,-33.,-19.,21.,17.,44.,44.,78., + 88.,122.,126.,114.,85.,64}; + int[] state = new int[1]; + G13AW g13aw = new G13AW(type, p, n, y, ifail); + System.out.println(" G13AWJ Example Program Results\n"); + double ts = g13aw.eval(); + G01EW g01ew = new G01EW(method,type,n,ts,nsamp,state,ifail); + double pvalue = g01ew.eval(); + ifail = g01ew.getIFAIL(); + if (ifail == 0 || ifail == 201) { + System.out.printf("Dickey-Fuller test statistic = %6.3f\n", ts); + System.out.printf("associated p-value = %6.3f\n", pvalue); + } + + } + +} diff --git a/simple_examples/source/int32/G13MEJE.java b/simple_examples/source/int32/G13MEJE.java new file mode 100644 index 0000000..a768a46 --- /dev/null +++ b/simple_examples/source/int32/G13MEJE.java @@ -0,0 +1,160 @@ +import com.nag.routines.G13.G13ME; + +/** + * G13MEJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class G13MEJE{ + + /** + * G13MEJ main program + */ + public static void main(String[] args){ + double tau; + int ifail, lrcomm, m, nb, pn; + double[] iema, rcomm, sinit, t; + int[] inter, nbVal; + + inter = new int[2]; + + System.out.println("G13MEJ Example Program Results"); + System.out.println(); + + //data (can read in from data file) + //Number of iteration required + m = 2; + + //Decay parameter and interpolation method + tau = 2; + inter[0] = 3; + inter[1] = 2; + + //Initial values + sinit = new double[m + 2]; + sinit[0] = 5; + sinit[1] = 0.5; + sinit[2] = 0.5; + sinit[3] = 0.5; + + //Array of NB values in order + nbVal = new int[3]; + nbVal[0] = 5; + nbVal[1] = 10; + nbVal[2] = 15; + + //First block + double[] t1 = new double[nbVal[0]]; + double[] iema1 = new double[nbVal[0]]; + t1[0] = 7.5; + t1[1] = 8.2; + t1[2] = 18.1; + t1[3] = 22.8; + t1[4] = 25.8; + iema1[0] = 0.6; + iema1[1] = 0.6; + iema1[2] = 0.8; + iema1[3] = 0.1; + iema1[4] = 0.2; + + //Second block + double[] t2 = new double[nbVal[1]]; + double[] iema2 = new double[nbVal[1]]; + t2[0] = 26.8; + t2[1] = 31.1; + t2[2] = 38.4; + t2[3] = 45.9; + t2[4] = 48.2; + t2[5] = 48.9; + t2[6] = 57.9; + t2[7] = 58.5; + t2[8] = 63.9; + t2[9] = 65.2; + iema2[0] = 0.2; + iema2[1] = 0.5; + iema2[2] = 0.7; + iema2[3] = 0.1; + iema2[4] = 0.4; + iema2[5] = 0.7; + iema2[6] = 0.8; + iema2[7] = 0.3; + iema2[8] = 0.2; + iema2[9] = 0.5; + + //Third block + double[] t3 = new double[nbVal[2]]; + double[] iema3 = new double[nbVal[2]]; + t3[0] = 66.6; + t3[1] = 67.4; + t3[2] = 69.3; + t3[3] = 69.9; + t3[4] = 73.0; + t3[5] = 75.6; + t3[6] = 77.0; + t3[7] = 84.7; + t3[8] = 86.8; + t3[9] = 88.0; + t3[10] = 88.5; + t3[11] = 91.0; + t3[12] = 93.0; + t3[13] = 93.7; + t3[14] = 94.0; + iema3[0] = 0.2; + iema3[1] = 0.3; + iema3[2] = 0.8; + iema3[3] = 0.6; + iema3[4] = 0.1; + iema3[5] = 0.7; + iema3[6] = 0.9; + iema3[7] = 0.6; + iema3[8] = 0.3; + iema3[9] = 0.1; + iema3[10] = 0.1; + iema3[11] = 0.4; + iema3[12] = 1.0; + iema3[13] = 1.0; + iema3[14] = 0.1; + + //Print some titles + System.out.printf("\t\t\tIterated\n"); + System.out.println("\t\tTime\t EMA\n"); + System.out.println("--------------------------------"); + + lrcomm = 20 + m; + rcomm = new double[lrcomm]; + + pn = 0; + + //Loop through 3 blocks + for(int i = 0; i < nbVal.length; i++){ + //nb for given block + nb = nbVal[i]; + + //Use data for current block + if(i == 0){ + t = t1; + iema = iema1; + } + else if(i == 1){ + t = t2; + iema = iema2; + } + else{ + t = t3; + iema = iema3; + } + + ifail = 0; + G13ME g13me = new G13ME(nb, iema, t, tau, m, sinit, inter, pn, rcomm, lrcomm, ifail); + g13me.eval(); + pn = g13me.getPN(); + + //Display results for this block of data + for(int j = 0; j < nb; j++){ + System.out.printf("\t%d\t%.1f\t%.3f\n", pn - nb + (j + 1), t[j], iema[j]); + } + System.out.println(); + } + } +} + diff --git a/simple_examples/source/int32/G13NAJE.java b/simple_examples/source/int32/G13NAJE.java new file mode 100644 index 0000000..2032eb1 --- /dev/null +++ b/simple_examples/source/int32/G13NAJE.java @@ -0,0 +1,123 @@ +import com.nag.routines.G13.G13NA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * G13NAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class G13NAJE{ + + /** + * G13NAJ example main program + */ + public static void main(String[] args){ + double beta = 0; + int ctype = 0, ifail, iparam = 0, minss = 0, n = 0, ntau = 0; //placeholder + double[] param, sparam, y; + int[] tau; + + param = new double[1]; + //Placeholder y to be read in from data file + y = new double[0]; + + System.out.println("G13NAJ Example Program Results"); + System.out.println(); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //Read in the problem size + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[0]); + + //Allocate enough size to hold the input series + y = new double[n]; + + //Read in the input series + for(int i = 0; i < 10; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < 10; j++){ + y[(i * 10) + j] = Double.parseDouble(sVal[j]); + } + } + + //Read in the type of change point, penalty and minimum segment size + line = reader.readLine(); + sVal = line.split("\\s+"); + ctype = Integer.parseInt(sVal[0]); + iparam = Integer.parseInt(sVal[1]); + beta = Double.parseDouble(sVal[2]); + minss = Integer.parseInt(sVal[3]); + + //Read in the distribution parameter (if required) + if(iparam == 1){ + line = reader.readLine(); + sVal = line.split("\\s+"); + param[0] = Double.parseDouble(sVal[0]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + System.exit(-2); + } + + //Output arrays + tau = new int[n]; + sparam = new double[(2 * n) + 2]; + + ifail = -1; + + //Call routine to detece change points + G13NA g13na = new G13NA(ctype, n, y, beta, minss, iparam, param, ntau, tau, sparam, ifail); + g13na.eval(); + + //update + ifail = g13na.getIFAIL(); + ctype = g13na.getCTYPE(); + ntau = g13na.getNTAU(); + + if(ifail == 0 || ifail == 200 || ifail == 201){ + //Display the results + if(ctype == 5 || ctype == 6){ + //Exponential or Poisson distribtion + System.out.printf(" -- Charge Points -- Distribution\n"); + System.out.printf(" Number Position Parameter \n"); + System.out.println("====================================="); + for(int i = 0; i < ntau; i++){ + System.out.printf(" %d\t %d\t%.2f", i + 1, tau[i], sparam[i]); + } + + } + else{ + //Normal of Gamma distribution + System.out.printf(" -- Charge Points -- --- Distribution ---\n"); + System.out.printf(" Number Position Parameters\n"); + System.out.println("================================================="); + for(int i = 0; i < ntau; i++){ + System.out.printf(" %d\t %d\t %.2f\t %.2f\n", (i + 1), tau[i], sparam[2 * i], sparam[(2 * i) + 1]); + } + } + } + if(ifail == 200 || ifail == 201){ + System.out.println("Some truncation occured internally to avoid overflow"); + } + } +} diff --git a/simple_examples/source/int32/H02BBJE.java b/simple_examples/source/int32/H02BBJE.java new file mode 100644 index 0000000..04f4207 --- /dev/null +++ b/simple_examples/source/int32/H02BBJE.java @@ -0,0 +1,92 @@ +import com.nag.routines.H.H02BB; + +/** + * H02BBJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class H02BBJE{ + + /** + * H02BBJ example main program + */ + public static void main(String[] args){ + double bigbnd, objmip = 0, tolfes, toliv; + int ifail, intfst, itmax, lda, liwork, lrwork, m, maxdpt, maxnod, msglvl, n; + double[] a, bl, bu, cvec, rwork, x; + int[] intvar, iwork; + + System.out.println("H02BBJ Example Program Results"); + System.out.println(); + + //Data (can be read in from data file) + n = 2; + m = 3; + lda = m; + + a = new double[lda * n]; + bl = new double[m + n]; + bu = new double[m + n]; + cvec = new double[n]; + x = new double[n]; + intvar = new int[n]; + + itmax = 0; + msglvl = 10; + maxnod = 0; + intfst = 0; + maxdpt = 4; + tolfes = 0; + toliv = 0; + + cvec[0] = -3; + cvec[1] = -4; + + //A = ( 2, 5) + // ( 2, -2) + // ( 3, 2) + a[0] = 2; + a[1] = 2; + a[2] = 3; + a[3] = 5; + a[4] = -2; + a[5] = 2; + + bigbnd = 1E+20; + + bl[0] = 0; + bl[1] = 0; + bl[2] = -1E+20; + bl[3] = -1E+20; + bl[4] = 5; + + bu[0] = 1E+20; + bu[1] = 1E+20; + bu[2] = 15; + bu[3] = 5; + bu[4] = 1E+20; + + intvar[0] = 1; + intvar[1] = 1; + + x[0] = 1; + x[1] = 1; + + liwork = ((25 + n + m) * maxdpt) + (5 * n) + m + 4; + //Math.pow() needs to be casted to int in java + lrwork = (maxdpt * (n + 1)) + (2 * (int)Math.pow(Math.min(n, m + 1), 2)) + (14 * n) + (12 * m); + iwork = new int[liwork]; + rwork = new double[lrwork]; + + ifail = 0; + + H02BB h02bb = new H02BB(itmax, msglvl, n, m, a, lda, bl, bu, intvar, cvec, maxnod, intfst, maxdpt, toliv, + tolfes, bigbnd, x, objmip, iwork, liwork, rwork, lrwork, ifail); + h02bb.eval(); + } +} + + + + + diff --git a/simple_examples/source/int32/H02DAJE.java b/simple_examples/source/int32/H02DAJE.java new file mode 100644 index 0000000..6e90401 --- /dev/null +++ b/simple_examples/source/int32/H02DAJE.java @@ -0,0 +1,228 @@ +import com.nag.routines.H.H02DA; +import com.nag.routines.H.H02ZK; +import com.nag.routines.H.H02ZL; +import com.nag.routines.X04.X04CA; +import java.util.Arrays; + +/** + * H02DAJ exmaple program text + * @author willa + * @since 27.1.0.0 + */ +public class H02DAJE{ + + /** + * H02DAJ example main program + */ + public static void main(String[] args){ + double acc, accqp = 0, objmip = 0; + int ifail, ivalue = 0, lda, liopts, lopts, maxit, n, nclin, ncnln, optype = 0; + String cvalue; + double[] a, ax, bl, bu, c, cjac, d, objgrd, x, opts, ruser; + int[] iopts, iuser, varcon; + + System.out.println("H02DAJ Example Program Results"); + System.out.println(); + + opts = new double[100]; + ruser = new double[1]; + iopts = new int[200]; + iuser = new int[1]; + + //Blank 40 character string to represent ```Character (40) :: cvalue``` + char[] ch = new char[40]; + Arrays.fill(ch, ' '); + cvalue = new String(ch); + + n = 8; + nclin = 5; + ncnln = 2; + lda = nclin; + + a = new double[lda * n]; + d = new double[nclin]; + ax = new double[nclin]; + bl = new double[n]; + bu = new double[n]; + varcon = new int[n + nclin + ncnln]; + x = new double[n]; + c = new double[ncnln]; + cjac = new double[ncnln * n]; + objgrd = new double[n]; + + //Set variable types: continuous then binary + varcon[0] = 0; + varcon[1] = 0; + varcon[2] = 0; + varcon[3] = 0; + varcon[4] = 1; + varcon[5] = 1; + varcon[6] = 1; + varcon[7] = 1; + + //Set continuous variable bounds + bl[0] = 0; + bl[1] = 0; + bl[2] = 0; + bl[3] = 0; + bu[0] = 1000; + bu[1] = 1000; + bu[2] = 1000; + bu[3] = 1000; + + //Bounds for binary variables need not be provided + bl[4] = 0; + bl[5] = 0; + bl[6] = 0; + bl[7] = 0; + bu[4] = 1; + bu[5] = 1; + bu[6] = 1; + bu[7] = 1; + + //Set linear constraint, equality first + varcon[n] = 3; + varcon[n + 1] = 4; + varcon[n + 2] = 4; + varcon[n + 3] = 4; + varcon[n + 4] = 4; + + //Set Ax=d then Ax>=d + //( 1, 1, 1, 1, 0, 0, 0, 0) + //(-1, 0, 0, 0, 1, 0, 0, 0) + //( 0,-1, 0, 0, 0, 1, 0, 0) + //( 0, 0,-1, 0, 0, 0, 1, 0) + //( 0, 0, 0,-1, 0, 0, 0, 1) + a[0] = 1; + a[1] = -1; + a[5] = 1; + a[7] = -1; + a[10] = 1; + a[13] = -1; + a[15] = 1; + a[19] = -1; + a[21] = 1; + a[27] = 1; + a[33] = 1; + a[39] = 1; + d[0] = 1; + d[1] = 0; + d[2] = 0; + d[3] = 0; + d[4] = 0; + + //Set constraints supplied by CONFUN, equality first + varcon[n + nclin] = 3; + varcon[n + nclin + 1] = 4; + + liopts = iopts.length; + lopts = opts.length; + + //Initialize communication arrays + ifail = 0; + H02ZK h02zk = new H02ZK("Initialize = H02DAF", iopts, liopts, opts, lopts, ifail); + h02zk.eval(); + + + //Optimization parameters + maxit = 500; + acc = 0.000001; + + //Initial estimate (binary variables need not be given) + x[0] = 1; + x[1] = 1; + x[2] = 1; + x[3] = 1; + x[4] = 0; + x[5] = 0; + x[6] = 0; + x[7] = 0; + + //Portfolio parameters p and rho + iuser[0] = 3; + ruser[0] = 10; + + ifail = 0; + //Create objfun1, confun1 to pass to H02DA representing repsecitve subroutines + objfun objfun1 = new objfun(); + confun confun1 = new confun(); + H02DA h02da = new H02DA(n, nclin, ncnln, a, lda, d, ax, bl, bu, varcon, x, confun1, c, cjac, objfun1, + objgrd, maxit, acc, objmip, iopts, opts, iuser, ruser, ifail); + h02da.eval(); + + //Results + ifail = h02da.getIFAIL(); + if(ifail == 0){ + X04CA x04ca = new X04CA("G", "N", n, 1, x, n, "Final Esimate:", ifail); + x04ca.eval(); + + //Query the accuracy of the mixed integer QP Solver + ifail = -1; + H02ZL h02zl = new H02ZL("QP Accuracy", ivalue, accqp, cvalue, optype, iopts, opts, ifail); + h02zl.eval(); + + //Update values to print + accqp = h02zl.getRVALUE(); + objmip = h02da.getOBJMIP(); + ifail = h02zl.getIFAIL(); + if(ifail == 0){ + System.out.printf("Requested accuracy of QP subproblems\t%.4e\n", accqp); + } + System.out.printf("Optimised value:\t%.3f\n", objmip); + } + else{ + System.out.printf("h02daf returns ifail = %d\n", ifail); + } + } + + /** + * objfun class extending Abstract_H02DA_OBJFUN to represent objfun subroutine for passing to H02DA + */ + public static class objfun extends H02DA.Abstract_H02DA_OBJFUN{ + public void eval(){ + if(this.MODE == 0){ + //Objective value + this.OBJMIP = (this.X[0] * ((4 * this.X[0]) + (3 * this.X[1]) - this.X[2])) + + (this.X[1] * ((3 * this.X[0]) + (6 * this.X[1]) + this.X[2])) + + (this.X[2] * (this.X[1] - this.X[0] + (10 * this.X[2]))); + } + else{ + //Objective gradients for continous varaiables + this.OBJGRD[0] = (8 * this.X[0]) + (6 * this.X[1]) - (2 * this.X[2]); + this.OBJGRD[1] = (6 * this.X[0]) + (12 * this.X[1]) + (2 * this.X[2]); + this.OBJGRD[2] = (2 * (this.X[1] - this.X[0])) + (20 * this.X[2]); + this.OBJGRD[3] = 0; + } + } + } + + /** + * confun class extending Abstract_H02DA_CONFUN to represent confun subroutine for passing to H02DA + */ + public static class confun extends H02DA.Abstract_H02DA_CONFUN{ + public void eval(){ + if(this.MODE == 0){ + //Constraints + int p = this.IUSER[0]; + double rho = this.RUSER[0]; + + //Mean return rho: + this.C[0] = (8 * this.X[0]) + (9 * this.X[1]) + (12 * this.X[2]) + (7 * this.X[3]) - rho; + //Maximum of p assets in portfolio + this.C[1] = p - this.X[4] - this.X[5] - this.X[6] - this.X[7]; + } + else{ + //Jacobian + this.CJAC[0] = 8; + this.CJAC[2] = 9; + this.CJAC[4] = 12; + this.CJAC[6] = 7; + //c[2] does not include continuours varaibles which requries that their derivatives are zero + this.CJAC[1] = 0; + this.CJAC[3] = 0; + this.CJAC[5] = 0; + this.CJAC[7] = 0; + } + } + } +} diff --git a/simple_examples/source/int32/M01CCJE.java b/simple_examples/source/int32/M01CCJE.java new file mode 100644 index 0000000..fda5e2f --- /dev/null +++ b/simple_examples/source/int32/M01CCJE.java @@ -0,0 +1,42 @@ +import com.nag.routines.M01.M01CC; +import java.io.*; + +/** + * M01CC example program text. + */ +public class M01CCJE { + + public static void main(String[] args) throws Exception { + + String[] ch; + String order = "Reverse ASCII"; + int m1,m2,l1,l2; + int ifail = 0; + + BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); + + dataIn.readLine(); + m2 = Integer.parseInt(dataIn.readLine().trim().split(":+")[0].trim()); + ch = new String[m2]; + m1 = 1; + for (int i = m1-1; i < m2; ++i) { + ch[i] = dataIn.readLine(); + } + dataIn.close(); + l1 = 7; + l2 = 12; + + System.out.println(" M01CCJ Example Program Results"); + M01CC m01cc = new M01CC(ch, m1, m2, l1, l2, order, ifail); + m01cc.eval(); + ifail = m01cc.getIFAIL(); + System.out.println(); + System.out.printf(" Records sorted on columns %2d to %2d\n",l1,l2); + System.out.println(); + for (int i = m1-1; i < m2; ++i) { + System.out.println(" "+ch[i]); + } + + } + +} diff --git a/simple_examples/source/int32/S01BAJE.java b/simple_examples/source/int32/S01BAJE.java new file mode 100644 index 0000000..4bf2823 --- /dev/null +++ b/simple_examples/source/int32/S01BAJE.java @@ -0,0 +1,39 @@ +import com.nag.routines.S.S01BA; + +/** + * S01BAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S01BAJE{ + + /** + * S01BAJE main program + */ + public static void main(String[] args){ + double y; + int ifail; + double[] xVal; //data + + //store data + xVal = new double[6]; + xVal[0] = 2.5; + xVal[1] = 0.125; + xVal[2] = -0.906; + xVal[3] = 0.00129; + xVal[4] = -0.00000783; + xVal[5] = 0.000000001; + + System.out.println("S01BAJ Example Program Results"); + System.out.println(); + System.out.printf("\tX\t\tY\n"); + + for(double x : xVal){ + ifail = -1; + S01BA s01ba = new S01BA(x, ifail); + y = s01ba.eval(); + + System.out.printf("\t%.4e\t%.4e\n", x, y); + } + } +} diff --git a/simple_examples/source/int32/S10AAJE.java b/simple_examples/source/int32/S10AAJE.java new file mode 100644 index 0000000..2a0878a --- /dev/null +++ b/simple_examples/source/int32/S10AAJE.java @@ -0,0 +1,40 @@ +import com.nag.routines.S.S10AA; + +/** + * S10AAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S10AAJE{ + + /** + * S10AAJ example main program + */ + public static void main(String[] args){ + double y; + double[] xVal; + int ifail; + + //x values (can be read in from data file) + xVal = new double[4]; + xVal[0] = -20; + xVal[1] = -5.0; + xVal[2] = 0.5; + xVal[3] = 5.0; + + System.out.println("S10AAJ Example Program Results"); + + System.out.println(); + System.out.printf("\tX\t\tY"); + System.out.println(); + + for(double x : xVal){ + ifail = -1; + S10AA s10aa = new S10AA(x, ifail); + y = s10aa.eval(); + ifail = s10aa.getIFAIL(); + + System.out.printf("\t%.3e\t%.3e\n", x, y); + } + } +} diff --git a/simple_examples/source/int32/S10ABJE.java b/simple_examples/source/int32/S10ABJE.java new file mode 100644 index 0000000..dd84ab7 --- /dev/null +++ b/simple_examples/source/int32/S10ABJE.java @@ -0,0 +1,41 @@ +import com.nag.routines.S.S10AB; + +/** + * S10ABJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S10ABJE{ + + /** + * S10ABJ example main program + */ + public static void main(String[] args){ + double y; + double[] xVal; + int ifail; + + //x values (can be read in from data file) + xVal = new double[5]; + xVal[0] = -10; + xVal[1] = -0.5; + xVal[2] = 0; + xVal[3] = 0.5; + xVal[4] = 25.0; + + System.out.println("S10ABJ Example Program Results"); + + System.out.println(); + System.out.printf("\tX\t\tY"); + System.out.println(); + + for(double x : xVal){ + ifail = -1; + S10AB s10ab = new S10AB(x, ifail); + y = s10ab.eval(); + ifail = s10ab.getIFAIL(); + + System.out.printf("\t%.3e\t%.3e\n", x, y); + } + } +} diff --git a/simple_examples/source/int32/S10ACJE.java b/simple_examples/source/int32/S10ACJE.java new file mode 100644 index 0000000..cc0c04c --- /dev/null +++ b/simple_examples/source/int32/S10ACJE.java @@ -0,0 +1,41 @@ +import com.nag.routines.S.S10AC; + +/** + * S10ACJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S10ACJE{ + + /** + * S10ACJ example main program + */ + public static void main(String[] args){ + double y; + double[] xVal; + int ifail; + + //x values (can be read in from data file) + xVal = new double[5]; + xVal[0] = -10; + xVal[1] = -0.5; + xVal[2] = 0; + xVal[3] = 0.5; + xVal[4] = 25.0; + + System.out.println("S10ACJ Example Program Results"); + + System.out.println(); + System.out.printf("\tX\t\tY"); + System.out.println(); + + for(double x : xVal){ + ifail = -1; + S10AC s10ac = new S10AC(x, ifail); + y = s10ac.eval(); + ifail = s10ac.getIFAIL(); + + System.out.printf("\t%.3e\t%.3e\n", x, y); + } + } +} diff --git a/simple_examples/source/int32/S14ABJE.java b/simple_examples/source/int32/S14ABJE.java new file mode 100644 index 0000000..673a4b3 --- /dev/null +++ b/simple_examples/source/int32/S14ABJE.java @@ -0,0 +1,71 @@ +import com.nag.routines.S.S14AB; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * S14ABJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S14ABJE{ + + /** + * S14ABJ example main program + */ + public static void main(String[] args){ + double x, y; + int ifail; + + System.out.println("S14ABJ Example Program Results"); + + //Supply file path as argument + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + System.out.println(); + System.out.printf("\tX\t\tY"); + System.out.println(); + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //loop until break + while(true){ + line = reader.readLine(); + + //if finished looping through file break + if(line == null){ + break; + } + String[] sVal = line.split("\\s+"); + + x = Double.parseDouble(sVal[1]); + + ifail = -1; + S14AB s14ab = new S14AB(x, ifail); + y = s14ab.eval(); + //update ifail + ifail = s14ab.getIFAIL(); + + if(ifail < 0){ + break; + } + System.out.printf("\t%.3e\t%.3e\n", x, y); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} + diff --git a/simple_examples/source/int32/S14ACJE.java b/simple_examples/source/int32/S14ACJE.java new file mode 100644 index 0000000..e2fff05 --- /dev/null +++ b/simple_examples/source/int32/S14ACJE.java @@ -0,0 +1,68 @@ +import com.nag.routines.S.S14AC; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * S14ACJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S14ACJE{ + + /** + * S14ACJ example main program + */ + public static void main(String[] args){ + double f, x; + int ifail; + + System.out.println("S14ACJ Example Program Results"); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + System.out.println(); + System.out.printf("\tX\tpsi(X)-log(X)\n"); + System.out.println(); + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //Loop until break... + while(true){ + line = reader.readLine(); + if(line == null){ + break; + } + String[] sVal = line.split("\\s+"); + + x = Double.parseDouble(sVal[0]); + + ifail = -1; + S14AC s14ac = new S14AC(x, ifail); + f = s14ac.eval(); + ifail = s14ac.getIFAIL(); + + if(ifail < 0){ + break; + } + + System.out.printf("\t%.4f\t%.4f\n", x, f); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} diff --git a/simple_examples/source/int32/S14AFJE.java b/simple_examples/source/int32/S14AFJE.java new file mode 100644 index 0000000..9005cc1 --- /dev/null +++ b/simple_examples/source/int32/S14AFJE.java @@ -0,0 +1,80 @@ +import com.nag.routines.S.S14AF; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * S14AFJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class S14AFJE{ + + /** + * S14AFJ Example main program + */ + public static void main(String[] args){ + NAGComplex y, z; + int ifail, k; + + //Tell the wrapper the type of complex being used before calling a routine + Routine.setComplex(new NAGComplex()); + + y = new NAGComplex(); + z = new NAGComplex(); + + System.out.println("S14AFJ Example Program Results"); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); + + System.out.println(); + System.out.println("\tZ\t\tK\t(d^K/dz^K)psi(Z)"); + System.out.println(); + + //loop until break... + while(true){ + line = reader.readLine(); + + //end of file reached + if(line == null){ + break; + } + + String[] sVal = line.split("\\s+"); + z.setRe(Double.parseDouble(sVal[0])); + z.setIm(Double.parseDouble(sVal[1])); + k = Integer.parseInt(sVal[2]); + + ifail = -1; + S14AF s14af = new S14AF(z, k, ifail); + y = (NAGComplex) s14af.eval(); + ifail = s14af.getIFAIL(); + + //ifail < 0 => error + if(ifail < 0){ + break; + } + System.out.printf("\t(%.1f, %.1f)\t%d\t(%.4e, %.4e)\n", z.getRe(), z.getIm(), k, y.getRe(), y.getIm()); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} diff --git a/simple_examples/source/int32/S17DCJE.java b/simple_examples/source/int32/S17DCJE.java new file mode 100644 index 0000000..ba01290 --- /dev/null +++ b/simple_examples/source/int32/S17DCJE.java @@ -0,0 +1,69 @@ +import com.nag.routines.S.S17DC; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +public class S17DCJE{ + private static int n = 2; + + public static void main(String[] args){ + double fnu; + int ifail, nz = 0; + String scal; + NAGComplex z; + NAGComplex[] cwrk, cy; + + z = new NAGComplex(); + //initiate complex arrays like this to save looping through and doing it manually by looping through + cwrk = NAGComplex.createArray(n); + cy = NAGComplex.createArray(n); + + System.out.println("S17DCF Example Program Results"); + + //Supply file path as argument + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + System.out.println(); + System.out.printf("Calling with N = %d\n", n); + System.out.println(); + System.out.printf("FNU\tZ\t\t\tSCAL\tCY[0]\t\t\tCY[1]\t\t\tNZ"); + System.out.println(); + + while(true){ + line = reader.readLine(); + if(line == null){ + break; + } + String[] sVal = line.split("\\s+"); + fnu = Double.parseDouble(sVal[0]); + z.setRe(Double.parseDouble(sVal[1])); + z.setIm(Double.parseDouble(sVal[2])); + scal = sVal[3].substring(1,2); + + ifail = 0; + S17DC s17dc = new S17DC(fnu, z, n, scal, cy, nz, cwrk, ifail); + s17dc.eval(); + + System.out.printf("%.4f\t(%.4f, %.4f)\t%s\t(%.4f, %.4f)\t(%.4f, %.4f)\t%d\n", fnu, z.getRe(), z.getIm(), scal, cy[0].getRe(), cy[0].getIm(), cy[1].getRe(), cy[1].getIm(), nz); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} + diff --git a/simple_examples/source/int32/S17DGJE.java b/simple_examples/source/int32/S17DGJE.java new file mode 100644 index 0000000..b93c9e0 --- /dev/null +++ b/simple_examples/source/int32/S17DGJE.java @@ -0,0 +1,61 @@ +import com.nag.routines.S.S17DG; +import com.nag.types.NAGComplex; +import java.io.*; +import java.util.regex.Matcher; +import java.util.regex.Pattern; + +/** + * S17DG example program text. + */ +public class S17DGJE { + + public static void main(String[] args) throws Exception { + String deriv,scal; + int ifail = 1; + NAGComplex z,ai; + int nz = -1; + z = new NAGComplex(); + ai = new NAGComplex(); + ai.setRe(Double.NaN); + ai.setIm(Double.NaN); + + System.out.println(" S17DGJ Example Program Results"); + BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); + + dataIn.readLine(); + System.out.println(); + System.out.println(" DERIV Z SCAL AI NZ"); + System.out.println(); + String line = dataIn.readLine(); + Pattern linePatt = Pattern.compile("\\s*'([A-Z]{1})'\\s+\\(\\s*([0-9\\.\\-]+)\\s*," + + "\\s*([0-9\\.\\-]+)\\s*\\)\\s+'([A-Z]{1})'\\s*"); + Matcher m; + S17DG s17dg = new S17DG(); + while (line != null) { + m = linePatt.matcher(line); + if (m.matches()) { + deriv = m.group(1); + z.setRe(Double.parseDouble(m.group(2))); + z.setIm(Double.parseDouble(m.group(3))); + scal = m.group(4); + ifail = 1;// SOFT AND SILENT FAILURE + s17dg.eval(deriv,z,scal,ai,nz,ifail); + if (s17dg.getIFAIL() == 0) { + System.out.printf(" %s (%8.4f,%8.4f) %s (%8.4f,%8.4f) %4d\n", + s17dg.getDERIV(), s17dg.getZ().getRe(), s17dg.getZ().getIm(), s17dg.getSCAL(), + s17dg.getAI().getRe(), s17dg.getAI().getIm(), s17dg.getNZ()); + } + else { + System.err.println("Something went wrong - S17DG returned IFAIL = "+s17dg.getIFAIL()); + System.exit(-1); + } + } + else { + System.out.println("Can't match:\n"+line); + } + line = dataIn.readLine(); + } + + } + +} diff --git a/simple_examples/source/int32/S30AAJE.java b/simple_examples/source/int32/S30AAJE.java new file mode 100644 index 0000000..7e01ffe --- /dev/null +++ b/simple_examples/source/int32/S30AAJE.java @@ -0,0 +1,109 @@ +import com.nag.routines.S.S30AA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * S30AAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S30AAJE{ + + /** + * S30AAJ main program + */ + public static void main(String[] args){ + double q = 0, r = 0, s = 0, sigma = 0; + int ifail, ldp, m = 0, n = 0; + String calput = ""; //placeholders + double[] p, t, x; + + //placeholders + t = new double[0]; + x = new double[0]; + + System.out.println("S30AAJ Example Program Results"); + + //Supply file path as arugment + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + calput = sVal[0].substring(1,2); + + line = reader.readLine(); + sVal = line.split("\\s+"); + s = Double.parseDouble(sVal[0]); + sigma = Double.parseDouble(sVal[1]); + r = Double.parseDouble(sVal[2]); + q = Double.parseDouble(sVal[3]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + m = Integer.parseInt(sVal[0]); + n = Integer.parseInt(sVal[1]); + + t = new double[n]; + x = new double[m]; + + for(int i = 0; i < m; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + x[i] = Double.parseDouble(sVal[0]); + } + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + t[i] = Double.parseDouble(sVal[0]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ldp = m; + p = new double[ldp * n]; + + ifail = 0; + S30AA s30aa = new S30AA(calput, m, n, x, s, t, sigma, r, q, p, ldp, ifail); + s30aa.eval(); + + System.out.println(); + System.out.println("Black-Scholes-Merton formula"); + + if(calput.toLowerCase().equals("c")){ + System.out.println("European Call : "); + } + else if(calput.toLowerCase().equals("p")){ + System.out.println("European Put : "); + } + + System.out.printf(" Spot =\t%.4f\n", s); + System.out.printf(" Volatility =\t%.4f\n", sigma); + System.out.printf(" Rate =\t%.4f\n", r); + System.out.printf(" Dividend =\t%.4f\n", q); + + System.out.println(); + System.out.printf(" Strike\tExpiry\tOption Price\n"); + for(int i = 0; i < m; i++){ + for(int j = 0; j < n; j++){ + System.out.printf(" %.4f\t%.4f\t%.4f\n", x[i], t[j], p[i + (j * 3)]); + } + } + } +} + diff --git a/simple_examples/source/int32/S30ACJE.java b/simple_examples/source/int32/S30ACJE.java new file mode 100644 index 0000000..8d994dc --- /dev/null +++ b/simple_examples/source/int32/S30ACJE.java @@ -0,0 +1,129 @@ +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.Arrays; + +import com.nag.routines.S.S30AC; + +/** + * S30AC example program text. + */ +public class S30ACJE { + + public static void main(String[] args) { + + int i, ifail, mode = 0, n = 0; + String calput; + + double[] k = null, p = null, r = null, s0 = null, sigma = null, t = null; + int[] ivalid = null; + + // Strings must be length expected by Fortran + calput = getBlankString(1); + + /* Header */ + System.out.println(" S30ACJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); // skip header + + System.out.println(); + System.out.println(" SIGMA IVALID"); + System.out.println(); + + line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + calput = sVal[0].replaceAll("\'", ""); + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + mode = Integer.parseInt(sVal[1]); + + line = reader.readLine(); // skip empty line + + p = new double[n]; + k = new double[n]; + s0 = new double[n]; + t = new double[n]; + r = new double[n]; + sigma = new double[n]; + ivalid = new int[n]; + + // Read p, k, s0, t and r from data file + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + p[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + k[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + s0[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + t[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + r[i] = Double.parseDouble(sVal[i]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Find the implied volatilities, sigma + ifail = 0; + S30AC s30ac = new S30AC(); + s30ac.eval(calput, n, p, k, s0, t, r, sigma, mode, ivalid, ifail); + + // Print solution + for (i = 0; i < n; i++) { + System.out.printf(" %12.3E%5d\n", sigma[i], ivalid[i]); + } + + } + + /** + * Returns a new String, filled with spaces to the specified length. + * + * @param len the required length of the String + * @return a blank String of the specified length + */ + public static String getBlankString(int len) { + + if (len > 0) { + char[] arr = new char[len]; + Arrays.fill(arr, ' '); + return new String(arr); + } + + return ""; + + } +} diff --git a/simple_examples/source/int32/X03AAJE.java b/simple_examples/source/int32/X03AAJE.java new file mode 100644 index 0000000..b03f1ab --- /dev/null +++ b/simple_examples/source/int32/X03AAJE.java @@ -0,0 +1,87 @@ +import com.nag.routines.X03.X03AA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * X03AAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class X03AAJE{ + + /** + * X03AAJ example main program. + */ + public static void main(String[] args){ + int n = 3; + double c1 = 0, c2 = 0, d1 = 0, d2 = 0; //placeholder + int ifail, isizea, isizeb, istepa, istepb; + boolean sw; + double[] a, b; + + a = new double[n * n]; + b = new double[n]; + + System.out.println("X03AAF Example Program Results"); + System.out.println(); + + if(args.length != 1){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //stored column wise + //a = (-2, -3, 7) + // ( 2, -5, 3) + // (-9, 1, 0) + for(int i = 0; i < n; i++){ + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + for(int j = 0; j < n; j++){ + a[i + (j * n)] = Double.parseDouble(sVal[j + 1]); + } + } + + line = reader.readLine(); + for(int i = 0; i < n; i++){ + String[] sVal = line.split("\\s+"); + b[i] = Double.parseDouble(sVal[i + 1]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + + c1 = 1; + c2 = 0; + isizea = n; + isizeb = n; + istepa = 1; + istepb = 1; + sw = true; + + ifail = 0; + X03AA x03aa = new X03AA(a , isizea, b, isizeb, n, istepa, istepb, c1, c2, d1, d2, sw, ifail); + x03aa.eval(); + + //update + c1 = x03aa.getC1(); + c2 = x03aa.getC2(); + d1 = x03aa.getD1(); + d2 = x03aa.getD2(); + + System.out.printf("D1 = %.1f D2 = %.1f\n", d1, d2); + } +} diff --git a/simple_examples/source/int32/X04CBJE.java b/simple_examples/source/int32/X04CBJE.java new file mode 100644 index 0000000..fa77c3a --- /dev/null +++ b/simple_examples/source/int32/X04CBJE.java @@ -0,0 +1,53 @@ +import com.nag.routines.X04.X04CB; + +/** + * X04CBJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class X04CBJE{ + + /** + * X04CBJ example main program + */ + public static void main(String[] args){ + int nmax = 5, lda = nmax, ifail, indent, ncols; + double[] a; + + a = new double[lda * nmax]; + + String[] clabs = {"Un ", "Deux ", "Trois ", "Quatre ", "Cinq "}; + String[] rlabs = {"Uno ", "Due ", "Tre ", "Quattro", "Cinque "}; + + System.out.println("X04CBJ Example Program Results"); + System.out.println(); + + //generate an array of data + for(int i = 0; i < nmax; i++){ + for(int j = 0; j < lda; j++){ + a[(i * lda) + j] = (double) ((10 * (j + 1)) + i + 1); + } + } + + ncols = 80; + indent = 0; + + //Print 3 by nmax rectangular matrix with default format and integer row and column labels + ifail = 0; + X04CB x04cb = new X04CB("General", " ", 3, nmax, a, lda, " ", "Example 1", "Integer", rlabs, "Integer", + clabs, ncols, indent, ifail); + x04cb.eval(); + System.out.println(); + + //Print nmax by namx upper triangular matrix with user-supplied format and row and column labels + ifail = 0; + x04cb.eval("Upper", "Non-unit", nmax, nmax, a, lda, "F8.2", "Example 2:", "Character", rlabs, "Character", + clabs, ncols, indent, ifail); + System.out.println(); + + //Print 3 by nmax lower triangular matrix in MATLAB format + //Row and column labelling is ignored + ifail = 0; + x04cb.eval("Lower", "Non-unit", 3, nmax, a, lda, "MATLABF8.2", "A", " ", rlabs, " ", clabs, ncols, indent, ifail); + } +} diff --git a/simple_examples/source/int32/X05ABJE.java b/simple_examples/source/int32/X05ABJE.java new file mode 100644 index 0000000..acb3804 --- /dev/null +++ b/simple_examples/source/int32/X05ABJE.java @@ -0,0 +1,25 @@ +import com.nag.routines.X05.X05AB; + +/** + * X05AB example program text. + */ +public class X05ABJE { + + public static void main(String[] args) { + + int[] itime = new int[7]; + + itime[0] = 1789; + itime[1] = 7; + itime[2] = 14; + itime[3] = 13; + itime[4] = 11; + itime[5] = 48; + itime[6] = 320; + + System.out.println(" X05ABJ Example Program Results"); + System.out.println((new X05AB(itime)).eval()); + + } + +} diff --git a/simple_examples/source/int64/A00AAJE.java b/simple_examples/source/int64/A00AAJE.java new file mode 100644 index 0000000..490c163 --- /dev/null +++ b/simple_examples/source/int64/A00AAJE.java @@ -0,0 +1,14 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.A00.A00AA; +import com.nag.routines.Routine; + +public class A00AAJE { + + public static void main (String[] args) throws NAGBadIntegerException { + Routine.init(); + A00AA a00aa = new A00AA(); + System.out.println(" A00AAJ Example Program Results\n"); + a00aa.eval(); + } + +} diff --git a/simple_examples/source/int64/A00ADJE.java b/simple_examples/source/int64/A00ADJE.java new file mode 100644 index 0000000..8250321 --- /dev/null +++ b/simple_examples/source/int64/A00ADJE.java @@ -0,0 +1,113 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.A00.A00AD; +import com.nag.routines.Routine; +import java.util.Arrays; + +public class A00ADJE { + + /* Parameters */ + public static final int MSGLEN = 15; + + /** A00ADJ Example Program */ + public static void main (String[] args) throws NAGBadIntegerException { + /* Local Scalars */ + int i; + long mkmaj, mkmin; + boolean licval; + String fcomp = getBlankString(80), hdware = getBlankString(80), + impl = getBlankString(80), opsys = getBlankString(80), + pcode = getBlankString(80), prec = getBlankString(80), + vend = getBlankString(80); + /* Local Arrays */ + int[] itime = new int[7]; + String[] msg = new String[MSGLEN]; + + // Instantiate arguments + mkmaj = 0; + mkmin = 0; + licval = false; + // Strings must be length expected by Fortran + fcomp = getBlankString(80); + hdware = getBlankString(80); + impl = getBlankString(80); + opsys = getBlankString(80); + pcode = getBlankString(80); + prec = getBlankString(80); + vend = getBlankString(80); + for (i = 0; i < MSGLEN; i++) msg[i] = getBlankString(102); + + Routine.init(); + System.out.println(" A00ADJ Example Program Results\n"); + + A00AD a00ad = new A00AD(); + a00ad.eval(impl, prec, pcode, mkmaj, mkmin, hdware, opsys, fcomp, vend, licval); + impl = a00ad.getIMPL(); + prec = a00ad.getPREC(); + pcode = a00ad.getPCODE(); + mkmaj = a00ad.getMKMAJ(); + mkmin = a00ad.getMKMIN(); + hdware = a00ad.getHDWARE(); + opsys = a00ad.getOPSYS(); + fcomp = a00ad.getFCOMP(); + vend = a00ad.getVEND(); + licval = a00ad.getLICVAL(); + + /* Print implementation details */ + + System.out.println("*** Start of NAG Library implementation details ***"); + System.out.println(); + System.out.println("Implementation title: " + impl.trim()); + System.out.println(" Precision: " + prec.trim()); + System.out.println(" Product code: " + pcode.trim()); + + if (mkmin < 10) { + System.out.printf(" Mark: %2d.%1d\n", mkmaj, mkmin); + } + else { + System.out.printf(" Mark: %2d.%2d\n", mkmaj, mkmin); + } + + if (vend.trim().equals("(self-contained)")) { + System.out.println(" Vendor Library: None"); + } + else { + System.out.println(" Vendor Library: " + vend.trim()); + } + + System.out.println("Applicable to:"); + System.out.println(" hardware: " + hdware.trim()); + System.out.println(" operating system: " + opsys.trim()); + System.out.println(" Fortran compiler: " + fcomp.trim()); + System.out.println("and compatible systems."); + + if (!licval) { + System.out.println(" Licence query: Unsuccessful"); + } + else { + System.out.println(" Licence query: Successful"); + } + + System.out.println(); + System.out.println("*** End of NAG Library implementation details ***"); + + } + + /** + * Returns a new String, filled with spaces to the specified length + * + * @param len the required length of the String + * @returns a String of spaces of the specified length + */ + public static String getBlankString(int len) { + + if (len > 0) { + char[] arr = new char[len]; + Arrays.fill(arr, ' '); + return new String(arr); + } + + return ""; + + } + +} diff --git a/simple_examples/source/int64/C05AYJE.java b/simple_examples/source/int64/C05AYJE.java new file mode 100644 index 0000000..a3bd5f1 --- /dev/null +++ b/simple_examples/source/int64/C05AYJE.java @@ -0,0 +1,45 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.C05.C05AY; +import com.nag.routines.Routine; + + +public class C05AYJE { + + public static void main(String[] args) throws NAGBadIntegerException { + + C05AY c05ay = new C05AY(); + OBJFUN f = new OBJFUN(); + double a = 0.0, b = 1.0, eps = 1.0e-5, eta = 0.0, x = 0.0; + long ifail = 0; + long[] iuser = new long[1]; + double[] ruser = new double[1]; + + System.out.println("C05AYJ Example Program Results"); + System.out.println(); + + Routine.init(); + c05ay.eval(a, b, eps, eta, f, x, iuser, ruser, ifail); + x = c05ay.getX(); + + switch ((int)ifail) { + case 0: + System.out.printf("Zero at x = %12.5f\n", x); + break; + case 2: case 3: + System.out.printf("Final point = %12.5f\n", x); + break; + default: + System.out.println("Unexpected ifail = " + ifail); + } + + } + + private static class OBJFUN extends C05AY.Abstract_C05AY_F { + + public double eval() { + return Math.exp(-X) - X; + } + + } + +} diff --git a/simple_examples/source/int64/C05AZJE.java b/simple_examples/source/int64/C05AZJE.java new file mode 100644 index 0000000..bec1b03 --- /dev/null +++ b/simple_examples/source/int64/C05AZJE.java @@ -0,0 +1,65 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.C05.C05AZ; +import com.nag.routines.Routine; +import java.util.logging.Level; +import java.util.logging.Logger; + +public class C05AZJE { + + public static void main (String[] args)throws NAGBadIntegerException{ + double tolx = 0.00001, x = 0.0, y = 1.0, fx; + long ir = 0, ind = 1, ifail = -1; + double[] c = new double[17]; + boolean keepOn = true; + + Routine.init(); + + C05AZ c05az = new C05AZ(); + fx = fun(x); + int ite = 0; + + System.out.println(" C05AZJ Example Program Results\n"); + System.out.println(" Iterations\n"); + while (keepOn) { + ++ite; + + c05az.eval(x,y,fx,tolx,ir,c,ind,ifail); + + x = c05az.getX(); + y = c05az.getY(); + tolx = c05az.getTOLX(); + ir = c05az.getIR(); + ind = c05az.getIND(); + ifail = c05az.getIFAIL(); + + if(ind == 0){ + keepOn = false; + } + else{ + fx = fun(x); + System.out.printf(" X = %7.5f FX = %11.4E IND = %1d\n", x, fx, ind); + } + } + + + + switch ((int)ifail) { + case 0: + System.out.println("\n Solution\n"); + System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); + break; + case 4: + case 5: + System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); + break; + default: + System.out.printf("Unexpected error ifail=%d\n",ifail); + } + } + + private static double fun(double x) { + double res = (Math.expm1(-x) + 1) - x; + return res; + } + +} diff --git a/simple_examples/source/int64/C05MBJE.java b/simple_examples/source/int64/C05MBJE.java new file mode 100644 index 0000000..08dd454 --- /dev/null +++ b/simple_examples/source/int64/C05MBJE.java @@ -0,0 +1,104 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.Routine; +import com.nag.routines.C05.C05MB; +import com.nag.routines.F06.DNRM2; +import com.nag.routines.X02.X02AJ; + +/** + * C05MBJ Example Program Text + * @author joed + * @since 27.0 + */ + /* ** There have been at least 200*(n+1) calls to fcn. + ** Consider restarting the calculation from the point held in x. + ** ABNORMAL EXIT from NAG Library routine + ** NAG soft failure - control returned +*/ +public class C05MBJE { + + private static final int n = 4; + + private static class FCN extends C05MB.Abstract_C05MB_FCN { + + public void eval() { + + FVEC[0] = Math.cos(X[2]) - X[0]; + FVEC[1] = Math.sqrt(1.0 - Math.pow(X[3],2)) - X[1]; + FVEC[2] = Math.sin(X[0]) - X[2]; + FVEC[3] = Math.pow(X[1], 2) - X[3]; + + // Set iflag negative to terminate execution for any reason + IFLAG = 0; + + return; + + } + + } + + /** + * C05MBJ Example Main Program + */ + public static void main(String[] args) throws NAGBadIntegerException { + + C05MB c05mb = new C05MB(); + DNRM2 dnrm2 = new DNRM2(); + X02AJ x02aj = new X02AJ(); + FCN fcn = new FCN(); + long cpuser; + double atol, cndtol, fnorm, machpr, rtol; + long astart, ifail, m; + int i; + double[] fvec, x; + double[] ruser = new double[1]; + long[] iuser = new long[1]; + + System.out.println("C05MBJ Example Program Results\n"); + + // Initialise NAG for Java + Routine.init(); + + // Get machine precision from X02AJ + machpr = (new X02AJ()).eval(); + + fvec = new double[n]; + x = new double[n]; + + // The following starting values provide a rough solution + x = new double[]{2.0, 0.5, 2.0, 0.5}; + + m = 2; + atol = Math.sqrt(machpr); + rtol = Math.sqrt(machpr); + cndtol = 0.0; + astart = 0; + cpuser = 0; + + ifail = -1; + c05mb.eval(fcn, n, x, fvec, atol, rtol, m, cndtol, astart, iuser, ruser, + cpuser, ifail); + ifail = c05mb.getIFAIL(); + + if (ifail==0 || ifail==8 || ifail==9) { + if (ifail==0) { + // The NAG name equivalent of dnrm2 is f06ej + fnorm = dnrm2.eval(n, fvec, 1); + System.out.println(); + System.out.printf("Final 2-norm of the residuals = %12.4e\n", fnorm); + System.out.println(); + System.out.println("Final approximate solution"); + } + else { + System.out.println(); + System.out.println("Approximate solution"); + } + System.out.println(); + for (i = 1; i <= n; i++) { + System.out.printf("%12.4f", x[i-1]); + } + System.out.printf("\n"); + } + + } + +} diff --git a/simple_examples/source/int64/C05QBJE.java b/simple_examples/source/int64/C05QBJE.java new file mode 100644 index 0000000..d7a6435 --- /dev/null +++ b/simple_examples/source/int64/C05QBJE.java @@ -0,0 +1,178 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.C05.C05QB; +import com.nag.routines.F06.DNRM2; +import com.nag.routines.Routine; +import com.nag.routines.X02.X02AJ; + +/** + * + * @author ludovic + */ +public class C05QBJE { + + /** + * @param args the command line arguments + */ + public static void main(String[] args) throws NAGBadIntegerException { + try { + Routine.init(); + + C05QB c05qb = new C05QB(); + + System.out.println(" C05QBJ Example Program Results"); + + int n = 9, ifail = -1; + + double xtol, fnorm; + + long[] IUSER = new long[1]; + double[] fvec = new double[n]; + double[] x = new double[n]; + double[] RUSER = new double[1]; + + + FCN fcn = new FCN(); + + for (int i = 0; i < n; ++i) { + x[i] = -1.0; + } + + xtol = Math.sqrt((new X02AJ()).eval()); + + c05qb.eval(fcn, n, x, fvec, xtol, IUSER, RUSER, ifail); + + ifail = (int)c05qb.getIFAIL(); + + switch (ifail) { + case (0): + fnorm = (new DNRM2(n, fvec, 1)).eval(); + System.out.println(); + System.out.printf(" Final 2-norm of the residuals = %11.4E\n", fnorm); + System.out.println(); + System.out.println(" Final approximate solution"); + int count = 0; + for (int i = 0; i < n; ++i) { + System.out.printf(" %12.4f", x[i]); + ++count; + if(count == 3){ + System.out.println(); + count = 0; + } + } + break; + case (2): + case (3): + case (4): + System.out.println("Approximate solution"); + count = 0; + for (int i = 0; i < n; ++i) { + System.out.printf(" %12.4f", x[i]); + ++count; + if(count == 3){ + System.out.println(); + count = 0; + } + } + + break; + } + + } catch (NAGBadIntegerException ex) { + System.err.println("Something went wrong!\n" + ex.getMessage()); + } + + + } + + public static class FCN implements C05QB.C05QB_FCN { + + private long N, IFLAG; + private double[] X, FVEC, RUSER; + private long[] IUSER; + + //@Override + public void setN(long N) { + this.N = N; + } + + //@Override + public long getN() { + return N; + } + + //@Override + public void setX(double[] X) { + this.X = X; + } + + //@Override + public double[] getX() { + return X; + } + + //@Override + public void setFVEC(double[] FVEC) { + this.FVEC = FVEC; + } + + //@Override + public double[] getFVEC() { + return FVEC; + } + + //@Override + public void setIUSER(long[] IUSER) { + this.IUSER = IUSER; + } + + //@Override + public long[] getIUSER() { + return IUSER; + } + + //@Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + //@Override + public double[] getRUSER() { + return RUSER; + } + + //@Override + public void setIFLAG(long IFLAG) { + this.IFLAG = IFLAG; + } + + //@Override + public long getIFLAG() { + return IFLAG; + } + + //@Override + public void eval(long N, double[] X, double[] FVEC, long[] IUSER, double[] RUSER, long IFLAG) { + /* + * fvec(1:n) = (3.0_nag_wp-2.0_nag_wp*x(1:n))*x(1:n) + 1.0_nag_wp + * fvec(2:n) = fvec(2:n) - x(1:(n-1)) + * fvec(1:(n-1)) = fvec(1:(n-1)) - 2.0_nag_wp*x(2:n) + */ + for (int i = 0; i < N; ++i) { + FVEC[i] = (3.0 - 2.0 * X[i]) * X[i] + 1.0; + /*if (i >= 1) { + FVEC[i] = FVEC[i] - X[i - 1]; + } + if (i < N - 1) { + FVEC[i] = FVEC[i] - 2.0 * X[i + 1]; + }*/ + } + for(int i=1;i Math.max(epsabs,epsrel*Math.abs(result))) { + System.out.println("Warning - requested accuracy may not have been achieved"); + } + + } + + + public static class D01BDJE_FUN implements D01BD.D01BD_F { + + private double x; + + public double eval(double x) { + return (x * x * Math.sin(10.0 * Math.PI * x)); + } + + public double getX() { + return x; + } + + public void setX(double d) { + x = d; + } + + + } + +} diff --git a/simple_examples/source/int64/D02NEJE.java b/simple_examples/source/int64/D02NEJE.java new file mode 100644 index 0000000..b32ae64 --- /dev/null +++ b/simple_examples/source/int64/D02NEJE.java @@ -0,0 +1,393 @@ +import java.util.Arrays; + +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.Routine; +import com.nag.routines.D02.D02MC; +import com.nag.routines.D02.D02MW; +import com.nag.routines.D02.D02NE; +import com.nag.routines.D02.D02NEZ; +import com.nag.routines.D02.D02NP; + + +/** + * @author joed + */ +public class D02NEJE { + + public static final double ALPHA = 0.04; + public static final double BETA = 1.0E4; + public static final double GAMMA = 3.0E7; + public static final int ML = 1; + public static final int MU = 2; + public static final int NEQ1 = 3; + public static final int NEQ2 = 1; + + public static JAC1 jac1 = new JAC1(); + public static JAC2 jac2 = new JAC2(); + public static RES1 res1 = new RES1(); + public static RES2 res2 = new RES2(); + + public static void main(String[] args) throws NAGBadIntegerException { + + // Initialise wrappers + Routine.init(); + + System.out.println(" D02NEJ Example Program Results"); + + ex1(); + ex2(); + + } + + private static void ex1() { + D02MC d02mc = new D02MC(); + D02MW d02mw = new D02MW(); + D02NE d02ne = new D02NE(); + D02NP d02np = new D02NP(); + double h0, hmax, t, tout; + long ifail, itask, maxord, ijac, itol, licom, neq, lcom; + String jceval; // length 8 + double[] atol, com, rtol, y, ydot, ruser; + long[] icom, iuser; + + ruser = new double[1]; + iuser = new long[3]; + + System.out.println(); + System.out.println(" D02NEF Example 1"); + System.out.println(); + + maxord = 5; + + neq = NEQ1; + lcom = 40 + (maxord + 4) * neq + (2 * ML + MU + 1) * neq + + 2 * (neq / (ML + MU + 1) + 1); + licom = 50 + neq; + + atol = new double[(int)neq]; + com = new double[(int)lcom]; + rtol = new double[(int)neq]; + y = new double[(int)neq]; + ydot = new double[(int)neq]; + icom = new long[(int)licom]; + + ijac = 1; + itol = 1; + Arrays.fill(rtol, 1.0E-3); + Arrays.fill(atol, 1.0E-6); + Arrays.fill(ydot, 0.0); + + // String length = 8 + jceval = (ijac == 1) ? "Analytic" : "Numeric "; + + // Set initial values + y[0] = 1.0; + y[1] = 0.0; + y[2] = 0.0; + + // Initialize the problem, specifying that the Jacobian is to be + // evaluated analytically using the provided routine jac. + hmax = 0.0; + h0 = 0.0; + t = 0.0; + tout = 0.02; + ifail = 0; + d02mw.eval( + neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail + ); + ifail = d02mw.getIFAIL(); + + // Specify that the Jacobian is banded. + ifail = 0; + d02np.eval(neq, ML, MU, icom, licom, ifail); + ifail = d02np.getIFAIL(); + + // Use the iuser array to pass the band dimensions through to jac. + // An alternative would be to hard code values for ml and mu in jac. + iuser[0] = ML; + iuser[1] = MU; + iuser[2] = ijac; + + System.out.printf(" t "); + for (int i = 1; i <= neq; i++) { + System.out.printf(" Y(%1d) ", i); + } + System.out.println(); + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + itask = 0; + + // Obtain the solution at 5 equally spaced values of T. + for (int j = 0; j < 5; j++) { + ifail = -1; + d02ne.eval( + neq, t, tout, y, ydot, rtol, atol, itask, res1, jac1, icom, + com, lcom, iuser, ruser, ifail + ); + itask = d02ne.getITASK(); + ifail = d02ne.getIFAIL(); + t = d02ne.getT(); + + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + if (ifail != 0) { + System.out.printf( + " ** D02NEF returned with IFAIL = %5d\n", ifail + ); + break; + } + + tout += 0.02; + d02mc.eval(icom); + + } + + System.out.println(); + System.out.printf( + " The integrator completed task, ITASK = %4d\n", itask + ); + + } + + private static void ex2() { + D02MC d02mc = new D02MC(); + D02MW d02mw = new D02MW(); + D02NE d02ne = new D02NE(); + double h0, hmax, t, tout; + long ifail, ijac, itask, itol, lcom, licom, maxord, neq; + String jceval; // length 8 + double[] atol, com, rtol, y, ydot, ruser; + long[] icom, iuser; + + ruser = new double[1]; + iuser = new long[1]; + + System.out.println(); + System.out.println(" D02NEF Example 2"); + System.out.println(); + + maxord = 5; + neq = NEQ2; + lcom = 40 + (maxord + 4) * neq + neq * neq; + licom = 50 + neq; + + atol = new double[(int)neq]; + com = new double[(int)lcom]; + rtol = new double[(int)neq]; + y = new double[(int)neq]; + ydot = new double[(int)neq]; + icom = new long[(int)licom]; + + ijac = 1; + itol = 1; + rtol[0] = 0.0; + atol[0] = 1.0E-8; + ydot[0] = 0.0; + + // String length = 8 + jceval = (ijac == 1) ? "Analytic" : "Numeric "; + + // Initialize the problem, specifying that the Jacobian is to be + // evaluated analytically using the provided routine jac. + y[0] = 2.0; + hmax = 0.0; + h0 = 0.0; + t = 0.0; + tout = 0.2; + + ifail = 0; + d02mw.eval( + neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail + ); + ifail = d02mw.getIFAIL(); + + // Use the iuser array to pass whether numerical or analytic Jacobian + // is to be used. + iuser[0] = ijac; + + System.out.printf(" t "); + for (int i = 1; i <= neq; i++) { + System.out.printf(" y(%1d) ", i); + } + System.out.println(); + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + itask = 0; + + for (int j = 0; j < 5; j++) { + ifail = -1; + d02ne.eval( + neq, t, tout, y, ydot, rtol, atol, itask, res2, jac2, icom, + com, lcom, iuser, ruser, ifail + ); + itask = d02ne.getITASK(); + ifail = d02ne.getIFAIL(); + t = d02ne.getT(); + + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + if (ifail != 0) { + System.out.printf( + " ** D02NEF returned with IFAIL = %5d\n", ifail + ); + break; + } + + tout += 0.2; + d02mc.eval(icom); + + } + + System.out.println(); + System.out.printf( + " The integrator completed task, ITASK = %4d\n", itask + ); + + } + + /** + * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based + * Java index. + * + * Fortran array definition: + * a(dimX, *) + * + * Conversion: + * a(x, y) --> A[result] + */ + private static long getIdx(long x, long y, long dimX) { + return ((y-1) * dimX) + (x-1); + } + + public static class RES1 extends D02NE.Abstract_D02NE_RES { + + public void eval() { + + this.R[0] = -(ALPHA * this.Y[0]) + (BETA * this.Y[1] * this.Y[2]) + - this.YDOT[0]; + this.R[1] = (ALPHA * this.Y[0]) - (BETA * this.Y[1] * this.Y[2]) + - (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[1]; + this.R[2] = (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[2]; + + } + + } + + public static class JAC1 extends D02NE.Abstract_D02NE_JAC { + + private double[] myjac1( + long neq, long ml, long mu, double t, double[] y, double[] ydot, + double[] pd, double cj + ) { + + long md, ms, pd_dim1; + + pd_dim1 = (2 * ml) + mu + 1; + + // Main diagonal pdfull(i,i), i=1, neq + md = mu + ml + 1; + pd[(int)getIdx(md, 1, pd_dim1)] = -ALPHA - cj; + pd[(int)getIdx(md, 2, pd_dim1)] = (-BETA * y[2]) - (2.0 * GAMMA * y[1]) + - cj; + pd[(int)getIdx(md, 3, pd_dim1)] = -cj; + + // 1 subdiagonal pdfull(i-1,i), i=2, neq + ms = md + 1; + pd[(int)getIdx(ms, 1, pd_dim1)] = ALPHA; + pd[(int)getIdx(ms, 2, pd_dim1)] = 2.0 * GAMMA * y[1]; + + // First superdiagonal pdfull(i-1,i), i=2, neq + ms = md - 1; + pd[(int)getIdx(ms, 2, pd_dim1)] = BETA * y[2]; + pd[(int)getIdx(ms, 3, pd_dim1)] = -BETA * y[1]; + + // Second superdiagonal pdfull(i-2,i), i=3, neq + ms = md - 2; + pd[(int)getIdx(ms, 3, pd_dim1)] = BETA * y[1]; + + return pd; + + } + + public void eval() { + D02NEZ d02nez = new D02NEZ(); + long ijac, ml, mu; + + ml = this.IUSER[0]; + mu = this.IUSER[1]; + ijac = this.IUSER[2]; + + if (ijac == 1) { + myjac1( + this.NEQ, ml, mu, this.T, this.Y, this.YDOT, this.PD, + this.CJ + ); + } + else { + d02nez.eval( + this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, + this.IUSER, this.RUSER + ); + } + + } + + } + + public static class RES2 extends D02NE.Abstract_D02NE_RES { + + public void eval() { + this.R[0] = 4.0 - Math.pow(this.Y[0], 2.0) + + (this.T * 0.1E0 * Math.exp(this.Y[0])); + } + + } + + public static class JAC2 extends D02NE.Abstract_D02NE_JAC { + + private void myjac2( + long neq, double t, double[] y, double[] ydot, double[] pd, + double cj + ) { + + pd[0] = -(2.0 * y[0]) + (0.1E0 * t * y[0] * Math.exp(y[0])); + + } + + public void eval() { + D02NEZ d02nez = new D02NEZ(); + long ijac; + + ijac = this.IUSER[0]; + + if (ijac == 1) { + myjac2(this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ); + } + else { + d02nez.eval( + this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, + this.IUSER, this.RUSER + ); + } + + } + + } + +} diff --git a/simple_examples/source/int64/DTFSMJE.java b/simple_examples/source/int64/DTFSMJE.java new file mode 100644 index 0000000..d1feabb --- /dev/null +++ b/simple_examples/source/int64/DTFSMJE.java @@ -0,0 +1,61 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.F01.DTRTTF; +import com.nag.routines.F06.DTFSM; +import com.nag.routines.X04.X04CA; +import com.nag.routines.Routine; + +/** + * Adapted from f06wbfe.f90 + * + * @author joed + * + */ +public class DTFSMJE { + + public static void main(String[] args) throws NAGBadIntegerException { + + double alpha = 4.21; + long ifail = 0, info = 0, m = 6, n = 4; + String side = "L", trans = "N", transr = "N", uplo = "L"; + + // Init NAG Java + DTFSM dtfsm = new DTFSM(); + DTRTTF dtrttf = new DTRTTF(); + X04CA x04ca = new X04CA(); + Routine.init(); + + System.out.println(" DTFSMJ Example Program Results\n"); + + // Set lower triangle of matrix A + double[] a = new double[(int)(m*m)]; + for (int i=0; i=i) ? j+1 : 0; + } + } + + // Set matrix B + double[] b = new double[] { + 3.22, 1.64, 1.87, 5.20, 1.83, -1.10, + 1.37, 1.80, 2.87, -2.99, -2.71, -0.63, + 2.31, 0.38, 2.02, -0.91, -2.81, -0.50, + 0.29, -1.52, -0.80, -3.87, -1.13, 0.81 + }; + + // Convert A to rectangular full packed storage in ar + double[] ar = new double[((int)(m*(m+1)))/2]; + info = 0; + dtrttf.eval(transr, uplo, m, a, m, ar, info); + info = dtrttf.getINFO(); + + // Perform the matrix-matrix operation + dtfsm.eval(transr, side, uplo, trans, "N", m, n, alpha, ar, b, m); + + // Print result + ifail = 0; + x04ca.eval("General", " ", m, n, b, m, "The Solution", ifail); + ifail = x04ca.getIFAIL(); + + } + +} diff --git a/simple_examples/source/int64/E01DAJE.java b/simple_examples/source/int64/E01DAJE.java new file mode 100644 index 0000000..89a89e4 --- /dev/null +++ b/simple_examples/source/int64/E01DAJE.java @@ -0,0 +1,177 @@ +/* + * E01DA Example Program - NAG Copyright 2016 + */ + import com.nag.exceptions.NAGBadIntegerException; + import com.nag.routines.E01.E01DA; + import com.nag.routines.E02.E02DF; + import com.nag.routines.Routine; + +public class E01DAJE { + + public static void main (String[] args)throws NAGBadIntegerException { + Routine.init(); + + int mx = 7, my = 6, ifail = -1; + double[] x = new double[mx]; + double[] y = new double[my]; + double[] f = new double[mx*my]; + double[] lamda = new double[mx+4]; + double[] mu = new double[my+4]; + double[] c = new double[mx*my]; + double[] wrk = new double[(mx+6)*(my+6)]; + + int nx = 6, ny = 6, px = 0, py = 0; + double xlo = 1.0, xhi = 2.0; + double ylo = 0.0, yhi = 1.0; + + E01DA e01da = new E01DA(); + + // Input X, Y and function values on X-Y grid + x[0] = 1.00; + x[1] = 1.10; + x[2] = 1.30; + x[3] = 1.50; + x[4] = 1.60; + x[5] = 1.80; + x[6] = 2.00; + + y[0] = 0.00; + y[1] = 0.10; + y[2] = 0.40; + y[3] = 0.70; + y[4] = 0.90; + y[5] = 1.00; + + // On entry: F[my*(q-1)+r-1] must contain f(q,r), for q=1,2,...,mx + // and r=1,2,...,my. + f[0] = 1.00; + f[1] = 1.10; + f[2] = 1.40; + f[3] = 1.70; + f[4] = 1.90; + f[5] = 2.00; + f[6] = 1.21; + f[7] = 1.31; + f[8] = 1.61; + f[9] = 1.91; + f[10] = 2.11; + f[11] = 2.21; + f[12] = 1.69; + f[13] = 1.79; + f[14] = 2.09; + f[15] = 2.39; + f[16] = 2.59; + f[17] = 2.69; + f[18] = 2.25; + f[19] = 2.35; + f[20] = 2.65; + f[21] = 2.95; + f[22] = 3.15; + f[23] = 3.25; + f[24] = 2.56; + f[25] = 2.66; + f[26] = 2.96; + f[27] = 3.26; + f[28] = 3.46; + f[29] = 3.56; + f[30] = 3.24; + f[31] = 3.34; + f[32] = 3.64; + f[33] = 3.94; + f[34] = 4.14; + f[35] = 4.24; + f[36] = 4.00; + f[37] = 4.10; + f[38] = 4.40; + f[39] = 4.70; + f[40] = 4.90; + f[41] = 5.00; + + System.out.printf(" E01DAJ Example Program Results\n\n"); + e01da.eval(mx, my, x, y, f, px, py, lamda, mu, c, wrk, ifail); + + ifail = (int)e01da.getIFAIL(); + switch (ifail) + { + case 0: + System.out.printf(" I Knot LAMDA(I) J Knot MU(j)\n"); + for (int i = 3; i <= Math.max(mx,my); ++i) + { + if (i <= mx) + System.out.printf("%4d %9.4f", i+1, lamda[i]); + else + System.out.printf(" "); + if (i <= my) + System.out.printf("%8d %9.4f\n", i+1, mu[i]); + else + System.out.printf("\n"); + } + System.out.printf("\n The B-Spline coefficients:\n"); + for (int i = 0; i < mx*my; ++i) + { + System.out.printf("%9.4f", c[i]); + if ((i+1)%8 == 0) + System.out.printf("\n"); + } + System.out.printf("\n"); + break; + default: + System.out.printf("\n Error detected by E01DA: %d\n", ifail); + } + + /* Evaluate the spline on a regular rectangular grid at nx*ny points + over the domain [xlo,xhi] x [ylo,yhi]. */ + px = (int)e01da.getPX(); + py = (int)e01da.getPY(); + int liwrk; + int lwrk = Math.min(4*nx+px,4*ny+py); + if (4*nx+px>4*ny+py) + liwrk = ny + py - 4; + else + liwrk = nx + px - 4; + double tx[] = new double[nx]; + double ty[] = new double[ny]; + double ff[] = new double[nx*ny]; + wrk = new double[lwrk]; + long iwrk[] = new long[liwrk]; + + /* Generate nx/ny equispaced x/y co-ordinates */ + double step = (xhi-xlo)/(nx-1); + tx[0] = xlo; + for (int i = 1; i 0) ? datafile.n : 1; + + // This particular example problem is of type QP2 with H stored explicitly, + // so we allocate CVEC(N) and H(LDH,N), and define LDH and LWORK as below + ldh = datafile.n; + + if (datafile.nclin > 0) { + lwork = 2 * datafile.n * datafile.n + 8 * datafile.n + 5 * datafile.nclin; + } + else { + lwork = datafile.n * datafile.n + 8 * datafile.n; + } + + istate = new long[(int)(datafile.n + datafile.nclin)]; + ax = new double[(int)Math.max(1, datafile.nclin)]; + iwork = new long[(int)liwork]; + // h, bl, bu, cvec, x, a: already read from data file + clamda = new double[(int)(datafile.n + datafile.nclin)]; + work = new double[(int)lwork]; + + // Init routine + E04WB e04wb = new E04WB(); + long lcwsav = 1, liwsav = 610, llwsav = 120, lrwsav = 475; + String[] cwsav = new String[(int)lcwsav]; + cwsav[0] = " "; + long[] iwsav = new long[(int)liwsav]; + boolean[] lwsav = new boolean[(int)llwsav]; + double[] rwsav = new double[(int)lrwsav]; + ifail = 0; + e04wb.eval("E04NFA", cwsav, lcwsav, lwsav, llwsav, iwsav, liwsav, rwsav, lrwsav, ifail); + + // Set print level to match E04NFF example output + E04NH e04nh = new E04NH(); + int inform = 0; + e04nh.eval("Print Level = 10", lwsav, iwsav, rwsav, inform); + + // Solve the problem + E04NF e04nf = new E04NF(); + double[] ruser = new double[1]; + long[] iuser = new long[1]; + iter = 0; + obj = Double.NaN; + ifail = 0; + e04nf.eval(datafile.n, datafile.nclin, datafile.a, datafile.lda, datafile.bl, + datafile.bu, datafile.cvec, datafile.h, datafile.ldh, new QPHESS(), istate, + datafile.x, iter, obj, ax, clamda, iwork, liwork, work, lwork, + iuser, ruser, lwsav, iwsav, rwsav, ifail); + + ifail = e04nf.getIFAIL(); + + } catch (Exception ex) { + Logger.getLogger(E04NFJE.class.getName()).log(Level.SEVERE, null, ex); + } + + } + + /** Using E54NFU as a default */ + public static class QPHESS extends E54NFU implements E04NF.E04NF_QPHESS { + + public void eval() { + + super.eval(); + + } + + } + + public static class DataFile { + + public String filename; + public long n, nclin, lda, sda, ldh; + public double[] cvec, a, bl, bu, x, h; + + public DataFile(String filename) { + this.filename = filename; + } + + public void read() throws FileNotFoundException, IOException { + BufferedReader dataIn = new BufferedReader(new FileReader(filename)); + String line = dataIn.readLine(); // skipping header + line = dataIn.readLine().trim(); + String[] lines = line.split(":");//removing comments + String[] dataLine = lines[0].split("\\s+"); + if (dataLine.length != 2) { + System.err.println("Something went wrong when reading the data file - can't read n and nclin!"); + System.exit(1); + } + n = Integer.parseInt(dataLine[0]); + nclin = Integer.parseInt(dataLine[1]); + + lda = Math.max(1, nclin); + + if (nclin > 0) { + sda = n; + } else { + sda = 1; + + } + ldh = n; + + cvec = new double[(int)n]; + a = new double[(int)(lda * sda)]; + bl = new double[(int)(n + nclin)]; + bu = new double[(int)(n + nclin)]; + x = new double[(int)n]; + h = new double[(int)(ldh * n)]; + + //reading cvec + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file - not enought or too many data for cvec"); + System.exit(1); + } + + for (int i = 0; i < n; ++i) { + cvec[i] = Double.parseDouble(dataLine[i].trim().replaceAll("D", "E")); + } + + //reading a + for (int i = 0; i < lda; ++i) { + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != sda) { + System.err.println("Something went wrong when reading the data file - not enought or too many data for a"); + System.exit(1); + } + for (int j = 0; j < sda; ++j) { + a[(int)(i + j * lda)] = Double.parseDouble(dataLine[j].trim().replaceAll("D", "E")); + } + } + + //reading bl + //it's on two lines in the data file, so we need to merge them + line = dataIn.readLine().trim().split(":")[0].trim() + " " + dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n + nclin) { + System.err.println("Something went wrong when reading the data file - not enought or too many data for bl"); + System.exit(1); + } + for (int i = 0; i < n + nclin; ++i) { + bl[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + //reading bu + //it's on two lines in the data file, so we need to merge them + line = dataIn.readLine().trim().split(":")[0].trim() + " " + dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n + nclin) { + System.err.println("Something went wrong when reading the data file - not enought or too many data for bu"); + System.exit(1); + } + for (int i = 0; i < n + nclin; ++i) { + bu[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file - not enought or too many data for x"); + System.exit(1); + } + for (int i = 0; i < n; ++i) { + x[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + for (int i = 0; i < ldh; ++i) { + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file - not enought or too many data for h at line " + i); + System.exit(1); + } + for (int j = 0; j < n; ++j) { + h[(int)(i + j * ldh)] = Double.parseDouble(dataLine[j].replaceAll("D", "E")); + } + } + + + } + } + +} diff --git a/simple_examples/source/int64/E04UCJE.java b/simple_examples/source/int64/E04UCJE.java new file mode 100644 index 0000000..20ad573 --- /dev/null +++ b/simple_examples/source/int64/E04UCJE.java @@ -0,0 +1,207 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.E04.E04UC; +import com.nag.routines.E04.E04WB; +import com.nag.routines.F06.DGEMV; +import com.nag.routines.Routine; +import java.util.Arrays; + +/** + * @author joed + */ +public class E04UCJE { + + public static final double ONE = 1.0, ZERO = 0.0; + public static final long INC1 = 1, LCWSAV = 1, LIWSAV = 610, LLWSAV = 120, LRWSAV = 475; + public static CONFUN confun = new CONFUN(); + public static OBJFUN objfun = new OBJFUN(); + + public static void main(String[] args) throws NAGBadIntegerException { + /* Local Scalars */ + double objf; + long i, ifail, iter, j, lda, ldcj, ldr, liwork, lwork, n, nclin, ncnln, sda, sdcjac; + /* Local Arrays */ + double[] a, bl, bu, c, cjac, clamda, objgrd, r, work, x; + double[] ruser = new double[1], rwsav = new double[(int)LRWSAV]; + long[] istate, iwork; + long[] iuser = new long[1], iwsav = new long[(int)LIWSAV]; + boolean[] lwsav = new boolean[(int)LLWSAV]; + String[] cwsav = new String[(int)LCWSAV]; + Arrays.fill(cwsav, " "); + + System.out.println(" E04UCJ Example Program Results"); + Routine.init(); + + /* Set scalars */ + n = 4; + nclin = 1; + ncnln = 2; + liwork = 3*n + nclin + 2*ncnln; + lda = Math.max(1, nclin); + sda = (nclin > 0) ? n : 1; + ldcj = Math.max(1, ncnln); + sdcjac = (ncnln > 0) ? n : 1; + ldr = n; + + if (ncnln == 0 && nclin > 0) { + lwork = 2*n*n + 20*n + 11*nclin; + } + else if (ncnln > 0 && nclin >= 0) { + lwork = 2*n*n + n*nclin + 2*n*ncnln + 20*n + 11*nclin + 21*ncnln; + } + else { + lwork = 20*n; + } + + /* Set arrays */ + istate = new long[(int)(n + nclin + ncnln)]; + iwork = new long[(int)liwork]; + c = new double[(int)(Math.max(1, ncnln))]; + cjac = new double[(int)(ldcj * sdcjac)]; + clamda = new double[(int)(n + nclin + ncnln)]; + objgrd = new double[(int)n]; + r = new double[(int)(ldr * n)]; + work = new double[(int)lwork]; + + a = new double[]{1.0, 1.0, 1.0, 1.0}; + bl = new double[]{1.0, 1.0, 1.0, 1.0, -1.0E+25, -1.0E+25, 25.0}; + bu = new double[]{5.0, 5.0, 5.0, 5.0, 20.0, 40.0, 1.0E+25}; + x = new double[]{1.0, 5.0, 5.0, 1.0}; + + /* Initialise E04UC */ + E04WB e04wb = new E04WB(); + ifail = 0; + e04wb.eval("E04UCA", cwsav, LCWSAV, lwsav, LLWSAV, iwsav, LIWSAV, rwsav, LRWSAV, ifail); + + /* Solve the problem */ + E04UC e04uc = new E04UC(); + iter = 0; + objf = 0.0; + ifail = -1; + e04uc.eval(n, nclin, ncnln, lda, ldcj, ldr, a, bl, bu, confun, objfun, iter, istate, c, + cjac, clamda, objf, objgrd, r, x, iwork, liwork, work, lwork, iuser, ruser, + lwsav, iwsav, rwsav, ifail); + iter = e04uc.getITER(); + objf = e04uc.getOBJF(); + ifail = e04uc.getIFAIL(); + + if ((0 >= ifail && ifail <= 6) || ifail == 8) { + System.out.println(); + System.out.println(" Varbl Istate Value Lagr Mult"); + System.out.println(); + + for (i = 0; i < n; i++) { + System.out.printf(" V %3d %3d %13.6G %13.4G\n", i+1, istate[(int)i], x[(int)i], clamda[(int)i]); + } + + if (nclin > 0) { + + /* A*x --> work. + * The NAG name equivalent of DGEMV is F06PA */ + DGEMV dgemv = new DGEMV(); + dgemv.eval("N", nclin, n, ONE, a, lda, x, INC1, ZERO, work, INC1); + + System.out.println(); + System.out.println(); + System.out.println(" L Con Istate Value Lagr Mult"); + System.out.println(); + + for (i = n; i < n+nclin; i++) { + j = i - n; + System.out.printf(" L %3d %3d %13.6G %13.4G\n", j+1, istate[(int)i], work[(int)j], clamda[(int)i]); + } + + } + + if (ncnln > 0) { + System.out.println(); + System.out.println(); + System.out.println(" N Con Istate Value Lagr Mult"); + System.out.println(); + + for (i = n+nclin; i < n+nclin+ncnln; i++) { + j = i - n - nclin; + System.out.printf(" N %3d %3d %13.6G %13.4G\n", j+1, istate[(int)i], c[(int)j], clamda[(int)i]); + } + + } + + System.out.println(); + System.out.println(); + System.out.printf(" Final objective value = %11.7G\n", objf); + + } + + } + + /** Routine to evaluate objective function and its 1st derivatives */ + public static class OBJFUN extends E04UC.Abstract_E04UC_OBJFUN { + + public void eval() { + + if (MODE == 0 || MODE == 2) { + OBJF = X[0] * X[3] * (X[0]+X[1]+X[2]) + X[2]; + } + + if (MODE == 1 || MODE == 2) { + OBJGRD[0] = X[3] * (X[0]+X[0]+X[1]+X[2]); + OBJGRD[1] = X[0] * X[3]; + OBJGRD[2] = X[0] * X[3] + ONE; + OBJGRD[3] = X[0] * (X[0]+X[1]+X[2]); + } + + } + + } + + /** Routine to evaluate the nonlinear constraints and their 1st derivatives */ + public static class CONFUN extends E04UC.Abstract_E04UC_CONFUN { + + public void eval() { + + if (NSTATE == 1) { + + /* First call to CONFUN. Set all Jacobian elements to zero. + * Note that this will only work when 'Derivative Level = 3' + * (the default; see Section 11.2). */ + + for (int i = 0; i < CJAC.length; ++i) { + CJAC[i] = 0; + } + + } + + if (NEEDC[0] > 0) { + + if (MODE == 0 || MODE == 2) { + C[0] = X[0]*X[0] + X[1]*X[1] + X[2]*X[2] + X[3]*X[3]; + } + + if (MODE == 1 || MODE == 2) { + CJAC[0] = X[0] + X[0]; + CJAC[(int)LDCJ] = X[1] + X[1]; + CJAC[(int)(2*LDCJ)] = X[2] + X[2]; + CJAC[(int)(3*LDCJ)] = X[3] + X[3]; + } + + } + + if (NEEDC[1]>0) { + + if (MODE == 0 || MODE == 2) { + C[1] = X[0]*X[1]*X[2]*X[3]; + } + + if (MODE == 1 || MODE == 2) { + CJAC[1] = X[1]*X[2]*X[3]; + CJAC[(int)(1+LDCJ)] = X[0]*X[2]*X[3]; + CJAC[(int)(1+2*LDCJ)] = X[0]*X[1]*X[3]; + CJAC[(int)(1+3*LDCJ)] = X[0]*X[1]*X[2]; + } + + } + + } + + } + +} diff --git a/simple_examples/source/int64/F02EKJE.java b/simple_examples/source/int64/F02EKJE.java new file mode 100644 index 0000000..d8f152c --- /dev/null +++ b/simple_examples/source/int64/F02EKJE.java @@ -0,0 +1,230 @@ +emacimport java.util.Arrays; + +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.F02.F02EK; +import com.nag.routines.F12.F12AD; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.Routine; +import com.nag.types.*; + + +/** + * @author joed + */ +public class F02EKJE { + + public static MYMONIT mymonit = new MYMONIT(); + public static MYOPTION myoption = new MYOPTION(); + + public static void main(String[] args) throws NAGBadIntegerException { + F02EK f02ek = new F02EK(); + X02AJ x02aj = new X02AJ(); + double h, rho, s, sigma; + int ifail, imon, k, ldv, maxit, mode, n, nconv, ncv, nev, nnz, nx, + prtlvl; + NAGComplex complex = new NAGComplex(); + double[] a, resid, v, ruser = new double[1]; + int[] icolzp, irowix, iuser = new int[4]; + NAGComplex[] w; + + // Initialise wrapper library + Routine.init(); + Routine.setComplex(complex); + + System.out.println(" F02EKJ Example Program Results"); + System.out.println(); + + nx = 10; + nev = 4; + ncv = 20; + rho = 10.0; + sigma = 5.5; + + n = nx * nx; + nnz = 3*n - 2; + ldv = n; + + resid = new double[ncv]; + a = new double[nnz]; + icolzp = new int[n + 1]; + irowix = new int[nnz]; + w = (NAGComplex[]) complex.getArrayOfInstances(ncv); + v = new double[ldv * ncv]; + + // Construct A in compressed column storage (CCS) format where: + // A{ i , i } = 2 + i + // A{i+1, i } = 3 + // A{ i , i+1} = rho/(2n+2) - 1 + + h = 1.0 / (double)(n+1); + s = (rho * h / 2.0) - 1.0; + + a[0] = 2.0 + 1.0; + a[1] = 3.0; + icolzp[0] = 1; + irowix[0] = 1; + irowix[1] = 2; + k = 3; + + for (int i = 1; i < n - 1; i++) { + icolzp[i] = k; + irowix[k - 1] = i; + irowix[k] = i + 1; + irowix[k + 1] = i + 2; + a[k - 1] = s; + a[k] = 2.0 + (double)(i + 1); + a[k + 1] = 3.0; + k += 3; + } + + icolzp[n - 1] = k; + icolzp[n] = k + 2; + irowix[k - 1] = n - 1; + irowix[k] = n; + a[k - 1] = s; + a[k] = 2.0 + (double)(n); + + // Set some options via iuser array and return routine argument OPTION + // iuser[0] = print level + // iuser[1] = iteration limit + // iuser[2] > 0 means shifted-invert mode + // iuser[3] > 0 means print monitoring info + + prtlvl = 0; + maxit = 500; + mode = 1; + imon = 1; + + if (prtlvl > 0) { + imon = 0; + } + + iuser[0] = prtlvl; + iuser[1] = maxit; + iuser[2] = mode; + iuser[3] = imon; + + nconv = 0; // placeholder value, nconv is output only + ifail = 0; // hard exit on error + + f02ek.eval( + n, nnz, a, icolzp, irowix, nev, ncv, sigma, mymonit, myoption, + nconv, w, v, ldv, resid, iuser, ruser, ifail + ); + ifail = f02ek.getIFAIL(); + nconv = f02ek.getNCONV(); + + System.out.println(); + System.out.printf( + " The %4d Ritz values of closest to %13.5E are:\n", nconv, sigma + ); + + // Get machine precision + double mp = x02aj.eval(); + + for (int i = 0; i < nconv; i++) { + if (resid[i] > (double)(100*n*mp)) { + System.out.printf( + " %8d ( %13.5E , %13.5E ) %13.5E\n", + i + 1, w[i], resid[i] + ); + } + else { + System.out.printf( + " %8d ( %13.5E , %13.5E )\n", + i + 1, w[i].getRe(), w[i].getIm() + ); + } + } + + } + + public static class MYOPTION extends F02EK.Abstract_F02EK_OPTION { + + public void eval() { + F12AD f12ad = new F12AD(); + int ifail1; + String rec = " "; + + this.ISTAT = 0; + + if (this.IUSER[0] > 0) { + System.out.printf("Print Level=%5d\n", this.IUSER[0]); + ifail1 = 1; + f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[1] > 100) { + System.out.printf("Iteration Limit=%5d\n", this.IUSER[1]); + ifail1 = 1; + f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[2] > 0) { + ifail1 = 1; + f12ad.eval ( + "Shifted Inverse Real ", this.ICOMM, this.COMM, ifail1 + ); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + } + + } + + public static class MYMONIT extends F02EK.Abstract_F02EK_MONIT { + + public NAGComplexInterface[] getW(){ + return this.W; + } + + public void eval() { + + if (this.IUSER[3] > 0) { + + if (this.NITER == 1 && this.IUSER[2] > 0) { + System.out.printf( + " Arnoldi basis vectors used:%4d\n", this.NCV + ); + System.out.printf( + " The following Ritz values (mu) are related to the\n" + + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" + ); + } + + System.out.println(); + System.out.printf(" Iteration number %4d\n", this.NITER); + System.out.printf( + " Ritz values converged so far (%4d) and their Ritz" + + " estimates:\n", this.NCONV + ); + + for (int i = 0; i < this.NCONV; i++) { + System.out.printf( + " %4d (%13.5E,%13.5E) %13.5E\n", + i + 1, this.W[i].getRe(), this.W[i].getIm(), + this.RZEST[i] + ); + } + + System.out.printf(" Next (unconverged) Ritz value:\n"); + + System.out.printf( + " %4d (%13.5E,%13.5E)\n", + this.NCONV + 1, this.W[NCONV].getRe(), this.W[NCONV].getIm() + ); + + } + + this.ISTAT = 0; + + } + + } + +} diff --git a/simple_examples/source/withdrawn/D02TKJE.java b/simple_examples/source/withdrawn/D02TKJE.java new file mode 100644 index 0000000..16e9e9b --- /dev/null +++ b/simple_examples/source/withdrawn/D02TKJE.java @@ -0,0 +1,290 @@ +import java.util.Arrays; + +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.D02.D02TK; +import com.nag.routines.D02.D02TV; +import com.nag.routines.D02.D02TX; +import com.nag.routines.D02.D02TY; +import com.nag.routines.D02.D02TZ; +import com.nag.routines.Routine; + + +/** + * @author joed + */ +public class D02TKJE { + + public static final int MMAX = 3, NEQ = 3, NLBC = 3, NRBC = 3; + + public static double omega, sqrofr; + public static int[] m = {1, 3, 2}; + + public static FFUN ffun = new FFUN(); + public static FJAC fjac = new FJAC(); + public static GAFUN gafun = new GAFUN(); + public static GAJAC gajac = new GAJAC(); + public static GBFUN gbfun = new GBFUN(); + public static GBJAC gbjac = new GBJAC(); + public static GUESS guess = new GUESS(); + + public static void main(String[] args) throws NAGBadIntegerException { + D02TK d02tk = new D02TK(); + D02TV d02tv = new D02TV(); + D02TX d02tx = new D02TX(); + D02TY d02ty = new D02TY(); + D02TZ d02tz = new D02TZ(); + double dx, ermx, r; + int iermx, ifail, ijermx, licomm, lrcomm, mxmesh, ncol, ncont, nmesh; + double[] mesh, tol, work, y; + int[] icomm, ipmesh; + + // Initialise wrappers + Routine.init(); + + System.out.println(" D02TKJ Example Program Results"); + System.out.println(); + + // Values from d02tkfe.d + ncol = 7; + nmesh = 11; + mxmesh = 51; + + licomm = 23 + NEQ + mxmesh; + lrcomm = mxmesh * (109 * (int)Math.pow(NEQ, 2) + 78 * NEQ + 7); + + mesh = new double[mxmesh]; + tol = new double[NEQ]; + work = new double[lrcomm]; + y = new double[NEQ * MMAX]; + ipmesh = new int[mxmesh]; + icomm = new int[licomm]; + + // Values from d02tkfe.d + omega = 1.0; + Arrays.fill(tol, 1.0E-4); + + dx = 1.0 / ((double) nmesh - 1); + + mesh[0] = 0.0; + for (int i = 1; i < nmesh - 1; i++) { + mesh[i] = mesh[i - 1] + dx; + } + mesh[nmesh - 1] = 1.0; + + ipmesh[0] = 1; + Arrays.fill(ipmesh, 1, nmesh - 1, 2); + ipmesh[nmesh - 1] = 1; + + // Initial integrator for given problem. + ifail = 0; + d02tv.eval( + NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, work, + lrcomm, icomm, licomm, ifail + ); + + // Values from d02tkfe.d + ncont = 3; + r = 1.0E6; + + sqrofr = Math.sqrt(r); + + ermx = 0.0; + iermx = 0; + ijermx = 0; + + for (int j = 0; j < ncont; j++) { + System.out.printf("\n Tolerance = %8.1E R = %10.3E\n", tol[0], r); + + // Solve problem + ifail = -1; + d02tk.eval( + ffun, fjac, gafun, gbfun, gajac, gbjac, guess, work, icomm, + ifail + ); + ifail = d02tk.getIFAIL(); + if (ifail == 1) break; + + // Extract mesh + ifail = -1; + d02tz.eval( + mxmesh, nmesh, mesh, ipmesh, ermx, iermx, ijermx, work, icomm, + ifail + ); + nmesh = d02tz.getNMESH(); + iermx = d02tz.getIERMX(); + ijermx = d02tz.getIJERMX(); + ermx = d02tz.getERMX(); + ifail = d02tz.getIFAIL(); + if (ifail == 1) break; + + // Print mesh, error stats + System.out.printf( + "\n" + + " Used a mesh of %4d points\n" + + " Maximum error = %10.2E in interval %4d for component %4d\n" + + "\n", + nmesh, ermx, iermx, ijermx + ); + System.out.printf("\n Mesh points:\n"); + for (int i = 0; i < nmesh; i++) { + System.out.printf("%4d(%1d)%10.3E", i+1, ipmesh[i], mesh[i]); + if ((i+1) % 4 == 0) System.out.printf("\n"); + } + System.out.printf("\n"); + + // Print solution components on mesh + System.out.printf("\n x f f\' g\n"); + for (int i = 0; i < nmesh; i++) { + ifail = 0; + d02ty.eval(mesh[i], y, NEQ, MMAX, work, icomm, ifail); + ifail = d02ty.getIFAIL(); + if (ifail != 0) { + System.err.println( + "D02TY failed with error code " + ifail + ); + break; + } + System.out.printf( + " %8.3f %9.4f%9.4f%9.4f\n", mesh[i], y[getIdx(1, 0, NEQ)], + y[getIdx(2, 0, NEQ)], y[getIdx(3, 0, NEQ)] + ); + } + + if (j == ncont - 1) break; + + // Modify continuation parameter + r = 100.0 * r; + sqrofr = Math.sqrt(r); + + // Select mesh for continuation + Arrays.fill(ipmesh, 1, nmesh - 1, 2); + + // Call continuation primer routine + ifail = 0; + d02tx.eval(mxmesh, nmesh, mesh, ipmesh, work, icomm, ifail); + mxmesh = d02tx.getMXMESH(); + nmesh = d02tx.getNMESH(); + ifail = d02tx.getIFAIL(); + if (ifail != 0) { + System.err.println("D02TX failed with error code " + ifail); + } + + } + + } + + /** + * Converts a 2D Fortran index to the 1D index for its corresponding Java + * array. Assumes y is already zero-based. + * + * Fortran array definition: + * a(dimX, 0:*) + * + * Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return (y * dimX) + (x-1); + } + + /** + * Converts a 3D Fortran index to the 1D index for its corresponding Java + * array. Assumes z is already zero-based. + * + * Fortran array definition: + * a(dimX, dimY, 0:*) + * + * Conversion: + * a(x, y, z) --> A[result] + */ + private static int getIdx(int x, int y, int z, int dimX, int dimY) { + return (z * dimY * dimX) + ((y-1) * dimX) + (x-1); + } + + public static class FFUN extends D02TK.Abstract_D02TK_FFUN { + + public void eval() { + F[0] = Y[getIdx(2, 0, NEQ)]; + F[1] = -((Y[getIdx(1, 0, NEQ)] * Y[getIdx(2, 2, NEQ)]) + + (Y[getIdx(3, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; + F[2] = ((Y[getIdx(2, 0, NEQ)] * Y[getIdx(3, 0, NEQ)]) + - (Y[getIdx(1, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; + } + + } + + public static class FJAC extends D02TK.Abstract_D02TK_FJAC { + + public void eval() { + DFDY[getIdx(1, 2, 0, NEQ, NEQ)] = 1.0; + DFDY[getIdx(2, 1, 0, NEQ, NEQ)] = -Y[getIdx(2, 2, NEQ)] * sqrofr; + DFDY[getIdx(2, 2, 2, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; + DFDY[getIdx(2, 3, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; + DFDY[getIdx(2, 3, 1, NEQ, NEQ)] = -Y[getIdx(3, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 1, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; + DFDY[getIdx(3, 2, 0, NEQ, NEQ)] = Y[getIdx(3, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 3, 0, NEQ, NEQ)] = Y[getIdx(2, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 3, 1, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; + } + + } + + public static class GAFUN extends D02TK.Abstract_D02TK_GAFUN { + + public void eval() { + GA[0] = YA[getIdx(1, 0, NEQ)]; + GA[1] = YA[getIdx(2, 0, NEQ)]; + GA[2] = YA[getIdx(3, 0, NEQ)] - omega; + } + + } + + public static class GBFUN extends D02TK.Abstract_D02TK_GBFUN { + + public void eval() { + GB[0] = YB[getIdx(1, 0, NEQ)]; + GB[1] = YB[getIdx(2, 0, NEQ)]; + GB[2] = YB[getIdx(3, 0, NEQ)] + omega; + } + + } + + public static class GAJAC extends D02TK.Abstract_D02TK_GAJAC { + + public void eval() { + DGADY[getIdx(1, 1, 0, NLBC, NEQ)] = 1.0; + DGADY[getIdx(2, 2, 0, NLBC, NEQ)] = 1.0; + DGADY[getIdx(3, 3, 0, NLBC, NEQ)] = 1.0; + } + + } + + public static class GBJAC extends D02TK.Abstract_D02TK_GBJAC { + + public void eval() { + DGBDY[getIdx(1, 1, 0, NRBC, NEQ)] = 1.0; + DGBDY[getIdx(2, 2, 0, NRBC, NEQ)] = 1.0; + DGBDY[getIdx(3, 3, 0, NRBC, NEQ)] = 1.0; + } + + } + + public static class GUESS extends D02TK.Abstract_D02TK_GUESS { + + public void eval() { + Y[getIdx(1, 0, NEQ)] = -(X - 0.5) * Math.pow(X * (X - 1.0), 2.0); + Y[getIdx(2, 0, NEQ)] = -X * (X - 1.0) + * (5.0 * X * (X - 1.0) + 1.0); + Y[getIdx(2, 1, NEQ)] = -(2.0 * X - 1.0) + * (10.0 * X * (X - 1.0) + 1.0); + Y[getIdx(2, 2, NEQ)] = -12.0 * (5.0 * X * (X - 1.0) + 1.0); + Y[getIdx(3, 0, NEQ)] = -8.0 * omega * Math.pow(X - 0.5, 3.0); + Y[getIdx(3, 1, NEQ)] = -24.0 * omega * Math.pow(X - 0.5, 2.0); + DYM[0] = Y[getIdx(2, 0, NEQ)]; + DYM[1] = -120.0 * (X - 0.5); + DYM[2] = -56.0 * omega * (X - 0.5); + } + + } + +} From 5194182122aba243b5766966309bfece9ce3354d Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 15 Jan 2021 14:19:55 +0000 Subject: [PATCH 121/196] Simple Examples Synced --- simple_examples/data/mytemp | 0 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 simple_examples/data/mytemp diff --git a/simple_examples/data/mytemp b/simple_examples/data/mytemp new file mode 100644 index 0000000..e69de29 From 9d2fb26a180af98082ecb33796fbb397cdeae001 Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 15 Jan 2021 14:20:36 +0000 Subject: [PATCH 122/196] Simple Examples Synced --- simple_examples/data/mytemp | 0 1 file changed, 0 insertions(+), 0 deletions(-) delete mode 100644 simple_examples/data/mytemp diff --git a/simple_examples/data/mytemp b/simple_examples/data/mytemp deleted file mode 100644 index e69de29..0000000 From 9411913b1abce6dc165c98c98345a22b8cdfe7e4 Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 15 Jan 2021 14:21:30 +0000 Subject: [PATCH 123/196] Simple Examples Synced --- simple_examples/data/mytemp | 0 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 simple_examples/data/mytemp diff --git a/simple_examples/data/mytemp b/simple_examples/data/mytemp new file mode 100644 index 0000000..e69de29 From 3fca50d6a1d9a0d1932fb8ba590f658d0add02b0 Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 15 Jan 2021 14:25:04 +0000 Subject: [PATCH 124/196] Simple Examples Synced --- simple_examples/data/mytemp | 0 1 file changed, 0 insertions(+), 0 deletions(-) delete mode 100644 simple_examples/data/mytemp diff --git a/simple_examples/data/mytemp b/simple_examples/data/mytemp deleted file mode 100644 index e69de29..0000000 From 59ce755cffc633539d489a33c118894c24757a01 Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 15 Jan 2021 14:26:03 +0000 Subject: [PATCH 125/196] Simple Examples Synced --- simple_examples/data/mytemp | 0 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 simple_examples/data/mytemp diff --git a/simple_examples/data/mytemp b/simple_examples/data/mytemp new file mode 100644 index 0000000..e69de29 From 65528ee7c97943112afc20fa2132aea224ccb651 Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 15 Jan 2021 14:26:43 +0000 Subject: [PATCH 126/196] Simple Examples Synced --- simple_examples/data/mytemp | 0 1 file changed, 0 insertions(+), 0 deletions(-) delete mode 100644 simple_examples/data/mytemp diff --git a/simple_examples/data/mytemp b/simple_examples/data/mytemp deleted file mode 100644 index e69de29..0000000 From f432268e4236c219b5b46b3fe40924ec86ce99bb Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 15 Jan 2021 15:09:11 +0000 Subject: [PATCH 127/196] Simple Examples Synced --- simple_examples/data/mytemp | 0 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 simple_examples/data/mytemp diff --git a/simple_examples/data/mytemp b/simple_examples/data/mytemp new file mode 100644 index 0000000..e69de29 From 10c1373b94f87b32f5c05ee951a2bb473bdfe301 Mon Sep 17 00:00:00 2001 From: Christos Date: Fri, 15 Jan 2021 17:36:04 +0200 Subject: [PATCH 128/196] Simple Examples Synced --- simple_examples/data/mytemp | 0 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 simple_examples/data/mytemp diff --git a/simple_examples/data/mytemp b/simple_examples/data/mytemp new file mode 100644 index 0000000..e69de29 From 64b8173099ba17dbcb70fc056e00bc7e0eda51c3 Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Fri, 15 Jan 2021 15:51:47 +0000 Subject: [PATCH 129/196] Simple Examples Synced --- simple_examples/data/mytemp | 0 1 file changed, 0 insertions(+), 0 deletions(-) delete mode 100644 simple_examples/data/mytemp diff --git a/simple_examples/data/mytemp b/simple_examples/data/mytemp deleted file mode 100644 index e69de29..0000000 From 3b2145b7f30ca0c5bd0f284886f193c797a414f6 Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Mon, 18 Jan 2021 09:28:04 +0000 Subject: [PATCH 130/196] Simple Examples Synced --- simple_examples/data/mytemp | 0 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 simple_examples/data/mytemp diff --git a/simple_examples/data/mytemp b/simple_examples/data/mytemp new file mode 100644 index 0000000..e69de29 From 10533431e7c39db2c24d3d70ee542bd0822bdd1f Mon Sep 17 00:00:00 2001 From: Mat Cross Date: Mon, 18 Jan 2021 09:35:00 +0000 Subject: [PATCH 131/196] Simple Examples Synced --- simple_examples/data/mytemp | 0 1 file changed, 0 insertions(+), 0 deletions(-) delete mode 100644 simple_examples/data/mytemp diff --git a/simple_examples/data/mytemp b/simple_examples/data/mytemp deleted file mode 100644 index e69de29..0000000 From b5d6003f035a2fc7cfb7676f7288805d775d8882 Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Mon, 18 Jan 2021 09:39:48 +0000 Subject: [PATCH 132/196] Simple Examples Synced --- simple_examples/baseresults/a00aaje.r | 10 + simple_examples/baseresults/a00acje.r | 3 + simple_examples/baseresults/a00adje.r | 17 + simple_examples/baseresults/c02aaje.r | 19 + simple_examples/baseresults/c02abje.r | 12 + simple_examples/baseresults/c02afje.r | 28 ++ simple_examples/baseresults/c02agje.r | 27 ++ simple_examples/baseresults/c02ahje.r | 6 + simple_examples/baseresults/c02ajje.r | 6 + simple_examples/baseresults/c02akje.r | 8 + simple_examples/baseresults/c02alje.r | 9 + simple_examples/baseresults/c02amje.r | 8 + simple_examples/baseresults/c02anje.r | 9 + simple_examples/baseresults/c05auje.r | 4 + simple_examples/baseresults/c05awje.r | 4 + simple_examples/baseresults/c05ayje.r | 3 + simple_examples/baseresults/c05azje.r | 15 + simple_examples/baseresults/c05bbje.r | 10 + simple_examples/baseresults/c05mbje.r | 8 + simple_examples/baseresults/c05qbje.r | 8 + simple_examples/baseresults/c06baje.r | 15 + simple_examples/baseresults/c06fkje.r | 13 + simple_examples/baseresults/c09aaje.r | 18 + .../baseresults/complexargumentexample.r | 1 + simple_examples/baseresults/d01bdje.r | 9 + simple_examples/baseresults/d02neje.r | 25 ++ simple_examples/baseresults/d02tkje.r | 113 +++++ simple_examples/baseresults/d02tlje.r | 113 +++++ simple_examples/baseresults/d03pcje.r | 28 ++ simple_examples/baseresults/d03raje.r | 409 +++++++++++++++++ simple_examples/baseresults/d03rbje.r | 59 +++ simple_examples/baseresults/d05baje.r | 12 + simple_examples/baseresults/d05beje.r | 46 ++ simple_examples/baseresults/dtfsmje.r | 10 + simple_examples/baseresults/e01daje.r | 25 ++ simple_examples/baseresults/e02alje.r | 24 + simple_examples/baseresults/e04abje.r | 6 + simple_examples/baseresults/e04bbje.r | 7 + simple_examples/baseresults/e04cbje.r | 4 + simple_examples/baseresults/e04fcje.r | 22 + simple_examples/baseresults/e04ffje.r | 73 +++ simple_examples/baseresults/e04gbje.r | 22 + simple_examples/baseresults/e04ggje.r | 44 ++ simple_examples/baseresults/e04mtje.r | 162 +++++++ simple_examples/baseresults/e04mxje.r | 38 ++ simple_examples/baseresults/e04ncje.r | 23 + simple_examples/baseresults/e04nfje.r | 66 +++ simple_examples/baseresults/e04nkje.r | 26 ++ simple_examples/baseresults/e04nqje.r | 6 + simple_examples/baseresults/e04ptje.r | 39 ++ simple_examples/baseresults/e04rpje.r | 105 +++++ simple_examples/baseresults/e04rsje.r | 35 ++ simple_examples/baseresults/e04rtje.r | 35 ++ simple_examples/baseresults/e04saje.r | 33 ++ simple_examples/baseresults/e04taje.r | 39 ++ simple_examples/baseresults/e04tcje.r | 58 +++ simple_examples/baseresults/e04uc_example.r | 95 ++++ simple_examples/baseresults/e04ucje.r | 22 + simple_examples/baseresults/e04yaje.r | 25 ++ simple_examples/baseresults/f01adje.r | 9 + simple_examples/baseresults/f01ckje.r | 5 + simple_examples/baseresults/f01crje.r | 6 + simple_examples/baseresults/f01dgje.r | 8 + simple_examples/baseresults/f01elje.r | 10 + simple_examples/baseresults/f01emje.r | 10 + simple_examples/baseresults/f02ekje.r | 20 + simple_examples/baseresults/f02fkje.r | 14 + simple_examples/baseresults/f02wgje.r | 7 + simple_examples/baseresults/f03baje.r | 14 + simple_examples/baseresults/f04amje.r | 4 + simple_examples/baseresults/f04baje.r | 14 + simple_examples/baseresults/f05aaje.r | 11 + simple_examples/baseresults/f06clje.r | 3 + simple_examples/baseresults/f07aaje.r | 14 + simple_examples/baseresults/f07abje.r | 23 + simple_examples/baseresults/f07adje.r | 10 + simple_examples/baseresults/f07aqje.r | 7 + simple_examples/baseresults/f07faje.r | 11 + simple_examples/baseresults/f07fbje.r | 19 + simple_examples/baseresults/f08btje.r | 16 + simple_examples/baseresults/f08faje.r | 16 + simple_examples/baseresults/f08xpje.r | 8 + simple_examples/baseresults/g01alje.r | 7 + simple_examples/baseresults/g02akje.r | 14 + simple_examples/baseresults/g02bjje.r | 38 ++ simple_examples/baseresults/g02brje.r | 29 ++ simple_examples/baseresults/g02daje.r | 31 ++ simple_examples/baseresults/g02eeje.r | 20 + simple_examples/baseresults/g02maje.r | 23 + simple_examples/baseresults/g03gaje.r | 79 ++++ simple_examples/baseresults/g05kfje.r | 7 + simple_examples/baseresults/g13awje.r | 4 + simple_examples/baseresults/g13meje.r | 39 ++ simple_examples/baseresults/g13naje.r | 11 + simple_examples/baseresults/h02bbje.r | 79 ++++ simple_examples/baseresults/h02daje.r | 14 + simple_examples/baseresults/m01ccje.r | 15 + .../baseresults/nagcomplexexample.r | 60 +++ simple_examples/baseresults/outputexample.r | 10 + simple_examples/baseresults/s01baje.r | 9 + simple_examples/baseresults/s10aaje.r | 7 + simple_examples/baseresults/s10abje.r | 8 + simple_examples/baseresults/s10acje.r | 8 + simple_examples/baseresults/s14abje.r | 12 + simple_examples/baseresults/s14acje.r | 8 + simple_examples/baseresults/s14afje.r | 5 + simple_examples/baseresults/s17dcje.r | 10 + simple_examples/baseresults/s17dgje.r | 9 + simple_examples/baseresults/s30aaje.r | 16 + simple_examples/baseresults/s30acje.r | 9 + .../baseresults/simpleroutineexample.r | 15 + .../baseresults/userdefinedfunctionexample1.r | 1 + .../baseresults/userdefinedfunctionexample2.r | 1 + simple_examples/baseresults/x03aaje.r 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simple_examples/source/int32/E04SAJE.java | 104 +++++ simple_examples/source/int32/E04TAJE.java | 188 ++++++++ simple_examples/source/int32/E04TCJE.java | 263 +++++++++++ simple_examples/source/int32/E04UCJE.java | 211 +++++++++ simple_examples/source/int32/E04YAJE.java | 112 +++++ simple_examples/source/int32/F01ADJE.java | 39 ++ simple_examples/source/int32/F01CKJE.java | 60 +++ simple_examples/source/int32/F01CRJE.java | 47 ++ simple_examples/source/int32/F01DGJE.java | 72 +++ simple_examples/source/int32/F01ELJE.java | 89 ++++ simple_examples/source/int32/F01EMJE.java | 106 +++++ simple_examples/source/int32/F02EKJE.java | 227 ++++++++++ simple_examples/source/int32/F02FKJE.java | 230 ++++++++++ simple_examples/source/int32/F02WGJE.java | 132 ++++++ simple_examples/source/int32/F03BAJE.java | 108 +++++ simple_examples/source/int32/F04AMJE.java | 114 +++++ simple_examples/source/int32/F04BAJE.java | 144 ++++++ simple_examples/source/int32/F05AAJE.java | 99 +++++ 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simple_examples/source/int32/G05KFJE.java | 105 +++++ simple_examples/source/int32/G13AWJE.java | 31 ++ simple_examples/source/int32/G13MEJE.java | 160 +++++++ simple_examples/source/int32/G13NAJE.java | 123 +++++ simple_examples/source/int32/H02BBJE.java | 92 ++++ simple_examples/source/int32/H02DAJE.java | 228 ++++++++++ simple_examples/source/int32/M01CCJE.java | 42 ++ simple_examples/source/int32/S01BAJE.java | 39 ++ simple_examples/source/int32/S10AAJE.java | 40 ++ simple_examples/source/int32/S10ABJE.java | 41 ++ simple_examples/source/int32/S10ACJE.java | 41 ++ simple_examples/source/int32/S14ABJE.java | 71 +++ simple_examples/source/int32/S14ACJE.java | 68 +++ simple_examples/source/int32/S14AFJE.java | 80 ++++ simple_examples/source/int32/S17DCJE.java | 69 +++ simple_examples/source/int32/S17DGJE.java | 61 +++ simple_examples/source/int32/S30AAJE.java | 109 +++++ simple_examples/source/int32/S30ACJE.java | 129 ++++++ simple_examples/source/int32/X03AAJE.java | 87 ++++ simple_examples/source/int32/X04CBJE.java | 53 +++ simple_examples/source/int32/X05ABJE.java | 25 ++ simple_examples/source/int64/A00AAJE.java | 14 + simple_examples/source/int64/A00ADJE.java | 113 +++++ simple_examples/source/int64/C05AYJE.java | 45 ++ simple_examples/source/int64/C05AZJE.java | 65 +++ simple_examples/source/int64/C05MBJE.java | 104 +++++ simple_examples/source/int64/C05QBJE.java | 178 ++++++++ simple_examples/source/int64/D01BDJE.java | 57 +++ simple_examples/source/int64/D02NEJE.java | 393 ++++++++++++++++ simple_examples/source/int64/DTFSMJE.java | 61 +++ simple_examples/source/int64/E01DAJE.java | 177 ++++++++ simple_examples/source/int64/E04FCJE.java | 415 +++++++++++++++++ simple_examples/source/int64/E04MTJE.java | 134 ++++++ simple_examples/source/int64/E04NFJE.java | 223 ++++++++++ simple_examples/source/int64/E04UCJE.java | 207 +++++++++ simple_examples/source/int64/F02EKJE.java | 230 ++++++++++ simple_examples/source/withdrawn/D02TKJE.java | 290 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simple_examples/source/int32/G13AWJE.java create mode 100644 simple_examples/source/int32/G13MEJE.java create mode 100644 simple_examples/source/int32/G13NAJE.java create mode 100644 simple_examples/source/int32/H02BBJE.java create mode 100644 simple_examples/source/int32/H02DAJE.java create mode 100644 simple_examples/source/int32/M01CCJE.java create mode 100644 simple_examples/source/int32/S01BAJE.java create mode 100644 simple_examples/source/int32/S10AAJE.java create mode 100644 simple_examples/source/int32/S10ABJE.java create mode 100644 simple_examples/source/int32/S10ACJE.java create mode 100644 simple_examples/source/int32/S14ABJE.java create mode 100644 simple_examples/source/int32/S14ACJE.java create mode 100644 simple_examples/source/int32/S14AFJE.java create mode 100644 simple_examples/source/int32/S17DCJE.java create mode 100644 simple_examples/source/int32/S17DGJE.java create mode 100644 simple_examples/source/int32/S30AAJE.java create mode 100644 simple_examples/source/int32/S30ACJE.java create mode 100644 simple_examples/source/int32/X03AAJE.java create mode 100644 simple_examples/source/int32/X04CBJE.java create mode 100644 simple_examples/source/int32/X05ABJE.java create mode 100644 simple_examples/source/int64/A00AAJE.java create mode 100644 simple_examples/source/int64/A00ADJE.java create mode 100644 simple_examples/source/int64/C05AYJE.java create mode 100644 simple_examples/source/int64/C05AZJE.java create mode 100644 simple_examples/source/int64/C05MBJE.java create mode 100644 simple_examples/source/int64/C05QBJE.java create mode 100644 simple_examples/source/int64/D01BDJE.java create mode 100644 simple_examples/source/int64/D02NEJE.java create mode 100644 simple_examples/source/int64/DTFSMJE.java create mode 100644 simple_examples/source/int64/E01DAJE.java create mode 100644 simple_examples/source/int64/E04FCJE.java create mode 100644 simple_examples/source/int64/E04MTJE.java create mode 100644 simple_examples/source/int64/E04NFJE.java create mode 100644 simple_examples/source/int64/E04UCJE.java create mode 100644 simple_examples/source/int64/F02EKJE.java create mode 100644 simple_examples/source/withdrawn/D02TKJE.java diff --git a/simple_examples/baseresults/a00aaje.r b/simple_examples/baseresults/a00aaje.r new file mode 100644 index 0000000..adcba2f --- /dev/null +++ b/simple_examples/baseresults/a00aaje.r @@ -0,0 +1,10 @@ + A00AAJ Example Program Results + + *** Start of NAG Library implementation details *** + + Implementation title: Linux, 64-bit, Intel C/C++ (32-bit integers) + Precision: double precision + Product Code: CLL6I262CL + Mark: 27.2.0 (self-contained) + + *** End of NAG Library implementation details *** diff --git a/simple_examples/baseresults/a00acje.r b/simple_examples/baseresults/a00acje.r new file mode 100644 index 0000000..0012531 --- /dev/null +++ b/simple_examples/baseresults/a00acje.r @@ -0,0 +1,3 @@ + A00ACJ Example Program Results + + A valid licence key is available diff --git a/simple_examples/baseresults/a00adje.r b/simple_examples/baseresults/a00adje.r new file mode 100644 index 0000000..5fb1839 --- /dev/null +++ b/simple_examples/baseresults/a00adje.r @@ -0,0 +1,17 @@ + A00ADJ Example Program Results + +*** Start of NAG Library implementation details *** + +Implementation title: Linux, 64-bit, Intel C/C++ (32-bit integers) + Precision: Fortran double precision + Product code: CLL6I262CL + Mark: 26.2 + Vendor Library: None +Applicable to: + hardware: x86_64 + operating system: Linux 2.6.32-696.6.3.el6.x86_64 + Fortran compiler: Intel ifort Version 18.0.1.163 20171018 +and compatible systems. + Licence query: Successful + +*** End of NAG Library implementation details *** diff --git a/simple_examples/baseresults/c02aaje.r b/simple_examples/baseresults/c02aaje.r new file mode 100644 index 0000000..fa3083b --- /dev/null +++ b/simple_examples/baseresults/c02aaje.r @@ -0,0 +1,19 @@ + C02AAJ Example Program Results + + Example 1: Basic Problem + + i z conv berr cond + --------------------------------------------------- + 1 6.53E-03, 7.42E-03 3 9.25E-18 4.84E+00 + 2 -6.93E-03, -7.44E-03 2 0.00E+00 4.95E+00 + 3 -2.43E+01, -4.86E+00 3 8.41E-18 1.13E+01 + 4 1.47E+01, -1.66E+01 3 1.07E-17 9.99E+00 + 5 5.25E+00, 2.27E+01 3 2.08E-17 1.06E+01 + + Example 2: Polishing Processes + + polish relerr fwderr + ---------------------------- + 0 3.18E-10 1.15E-04 + 1 6.16E-11 8.49E-06 + 2 1.11E-16 1.11E-16 diff --git a/simple_examples/baseresults/c02abje.r b/simple_examples/baseresults/c02abje.r new file mode 100644 index 0000000..01b29cd --- /dev/null +++ b/simple_examples/baseresults/c02abje.r @@ -0,0 +1,12 @@ + C02ABJ Example Program Results + + Basic Problem + + i z conv berr cond + ----------------------------------------------------- + 1 ( 1.15E+00, 7.36E-01) 3 5.37E-18 1.34E+01 + 2 ( -1.67E+00, 3.25E-01) 3 6.34E-18 2.20E+01 + 3 ( 3.79E-01, -1.25E+00) 3 2.98E-18 1.02E+01 + 4 ( -1.67E+00, -3.25E-01) 3 4.57E-18 2.20E+01 + 5 ( 1.15E+00, -7.36E-01) 3 1.04E-17 1.34E+01 + 6 ( 3.79E-01, 1.25E+00) 2 1.66E-18 1.02E+01 diff --git a/simple_examples/baseresults/c02afje.r b/simple_examples/baseresults/c02afje.r new file mode 100644 index 0000000..386d4fe --- /dev/null +++ b/simple_examples/baseresults/c02afje.r @@ -0,0 +1,28 @@ + C02AFJ Example Program Results + + + Example 1 + + Degree of polynomial = 5 + + Computed roots of polynomial + + z = -2.4328E+01 -4.8555E+00*i + z = 5.2487E+00 +2.2736E+01*i + z = 1.4653E+01 -1.6569E+01*i + z = -6.9264E-03 -7.4434E-03*i + z = 6.5264E-03 +7.4232E-03*i + + + Example 2 + + Degree of polynomial = 5 + + Computed roots of polynomial Error estimates + (machine-dependent) + + z = -2.4328E+01 -4.8555E+00*i 5.7E-16 + z = 5.2487E+00 +2.2736E+01*i 1.5E-16 + z = 1.4653E+01 -1.6569E+01*i 4.8E-16 + z = -6.9264E-03 -7.4434E-03*i 1.1E-16 + z = 6.5264E-03 +7.4232E-03*i 1.8E-16 diff --git a/simple_examples/baseresults/c02agje.r b/simple_examples/baseresults/c02agje.r new file mode 100644 index 0000000..8e10c18 --- /dev/null +++ b/simple_examples/baseresults/c02agje.r @@ -0,0 +1,27 @@ + C02AGJ Example Program Results + + + Example 1 + + + Degree of polynomial = 5 + + Computed roots of polynomial + + z = -1.4918E+00 + z = 5.5169E-01 +/- 1.2533E+00*i + z = -8.0579E-01 +/- 1.2229E+00*i + + + Example 2 + + Degree of polynomial = 5 + + Computed roots of polynomial Error estimates + (machine-dependent) + + z = -1.4918E+00 +0.0000E+00*i 7.4E-16 + z = 5.5169E-01 +1.2533E+00*i 1.1E-16 + z = 5.5169E-01 -1.2533E+00*i 1.1E-16 + z = -8.0579E-01 +1.2229E+00*i 3.0E-16 + z = -8.0579E-01 -1.2229E+00*i 3.0E-16 diff --git a/simple_examples/baseresults/c02ahje.r b/simple_examples/baseresults/c02ahje.r new file mode 100644 index 0000000..e3efc97 --- /dev/null +++ b/simple_examples/baseresults/c02ahje.r @@ -0,0 +1,6 @@ + C02AHJ Example Program Results + + Roots of quadratic equation + + z = 1.0000E+00 +2.0000E+00*i + z = 2.0000E+00 -3.0000E+00*i diff --git a/simple_examples/baseresults/c02ajje.r b/simple_examples/baseresults/c02ajje.r new file mode 100644 index 0000000..944fa06 --- /dev/null +++ b/simple_examples/baseresults/c02ajje.r @@ -0,0 +1,6 @@ + C02AJJ Example Program Results + + Roots of quadratic equation + + z = 2.0000E+00 + z = -5.0000E+00 diff --git a/simple_examples/baseresults/c02akje.r b/simple_examples/baseresults/c02akje.r new file mode 100644 index 0000000..34b3e74 --- /dev/null +++ b/simple_examples/baseresults/c02akje.r @@ -0,0 +1,8 @@ + C02AKJ Example Program Results + + Roots of cubic equation Error estimates + (machine-dependent) + + z = 1.0000E+00 +0.0000E+00*i 1.0E-15 + z = -2.0000E+00 +3.0000E+00*i 1.0E-15 + z = -2.0000E+00 -3.0000E+00*i 1.0E-15 diff --git a/simple_examples/baseresults/c02alje.r b/simple_examples/baseresults/c02alje.r new file mode 100644 index 0000000..ff49a36 --- /dev/null +++ b/simple_examples/baseresults/c02alje.r @@ -0,0 +1,9 @@ + C02ALJ Example Program Results + + Roots of quartic equation Error estimates + (machine-dependent) + + z = 2.0000E+00 +0.0000E+00*i 1.2E-15 + z = -2.0000E+00 +0.0000E+00*i 1.1E-15 + z = -1.0000E+00 +3.0000E+00*i 1.1E-15 + z = -1.0000E+00 -3.0000E+00*i 1.1E-15 diff --git a/simple_examples/baseresults/c02amje.r b/simple_examples/baseresults/c02amje.r new file mode 100644 index 0000000..c2c70b4 --- /dev/null +++ b/simple_examples/baseresults/c02amje.r @@ -0,0 +1,8 @@ + C02AMJ Example Program Results + + Roots of cubic equation Error estimates + (machine-dependent) + + z = -2.0000E+00 +3.0000E+00*i 1.3E-15 + z = 1.0000E+00 -2.0000E+00*i 2.2E-15 + z = 3.0000E+00 -4.0000E+00*i 2.1E-15 diff --git a/simple_examples/baseresults/c02anje.r b/simple_examples/baseresults/c02anje.r new file mode 100644 index 0000000..4361b7e --- /dev/null +++ b/simple_examples/baseresults/c02anje.r @@ -0,0 +1,9 @@ + C02ANJ Example Program Results + + Roots of quartic equation Error estimates + (machine-dependent) + + z = 3.0000E+00 -2.0000E+00*i 1.8E-15 + z = 1.0000E+00 -2.0000E+00*i 1.8E-15 + z = -2.0000E+00 +1.0000E+00*i 1.8E-15 + z = -2.0000E+00 +3.0000E+00*i 1.8E-15 diff --git a/simple_examples/baseresults/c05auje.r b/simple_examples/baseresults/c05auje.r new file mode 100644 index 0000000..1c8bb18 --- /dev/null +++ b/simple_examples/baseresults/c05auje.r @@ -0,0 +1,4 @@ +C05AUJ Example Program Results + +Root is : 0.56714 +Interval searched is : [ 0.50000, 0.90000] diff --git a/simple_examples/baseresults/c05awje.r b/simple_examples/baseresults/c05awje.r new file mode 100644 index 0000000..0868382 --- /dev/null +++ b/simple_examples/baseresults/c05awje.r @@ -0,0 +1,4 @@ +C05AWJ Example Program Results + +With eps = 1.00e-03 root = 0.56715 +With eps = 1.00e-04 root = 0.56715 diff --git a/simple_examples/baseresults/c05ayje.r b/simple_examples/baseresults/c05ayje.r new file mode 100644 index 0000000..50a0010 --- /dev/null +++ b/simple_examples/baseresults/c05ayje.r @@ -0,0 +1,3 @@ +C05AYJ Example Program Results + +Zero at x = 0.56714 diff --git a/simple_examples/baseresults/c05azje.r b/simple_examples/baseresults/c05azje.r new file mode 100644 index 0000000..1d3b6bc --- /dev/null +++ b/simple_examples/baseresults/c05azje.r @@ -0,0 +1,15 @@ + C05AZJ Example Program Results + + Iterations + + X = 0.00000 FX = 1.0000E+00 IND = 2 + X = 1.00000 FX = -6.3212E-01 IND = 3 + X = 0.61270 FX = -7.0814E-02 IND = 4 + X = 0.56707 FX = 1.1542E-04 IND = 4 + X = 0.56714 FX = -9.4481E-07 IND = 4 + X = 0.56713 FX = 1.4727E-05 IND = 4 + X = 0.56714 FX = -9.4481E-07 IND = 4 + + Solution + + X = 0.56714 Y = 0.56713 diff --git a/simple_examples/baseresults/c05bbje.r b/simple_examples/baseresults/c05bbje.r new file mode 100644 index 0000000..a963b94 --- /dev/null +++ b/simple_examples/baseresults/c05bbje.r @@ -0,0 +1,10 @@ +C05BBJ Example Program Results +Branch = 0 +Offset = false + + Z W(Z) RESID IFAIL + +(5.00000e-01, -1.00000e+00) (5.16511e-01, -4.22053e-01) 5.55112e-17 0 +(1.00000e+00, 2.30000e+00) (8.73606e-01, 5.76978e-01) 1.11022e-16 0 +(4.50000e+00, -1.00000e-01) (1.26735e+00, -1.24194e-02) 0.00000e+00 0 +(6.00000e+00, 6.00000e+00) (1.61492e+00, 4.90515e-01) 1.25607e-15 0 diff --git a/simple_examples/baseresults/c05mbje.r b/simple_examples/baseresults/c05mbje.r new file mode 100644 index 0000000..49cdab8 --- /dev/null +++ b/simple_examples/baseresults/c05mbje.r @@ -0,0 +1,8 @@ +C05MBJ Example Program Results + + +Final 2-norm of the residuals = 2.4765e-08 + +Final approximate solution + + 0.7682 0.7862 0.6948 0.6180 diff --git a/simple_examples/baseresults/c05qbje.r b/simple_examples/baseresults/c05qbje.r new file mode 100644 index 0000000..e161a18 --- /dev/null +++ b/simple_examples/baseresults/c05qbje.r @@ -0,0 +1,8 @@ + C05QBJ Example Program Results + + Final 2-norm of the residuals = 1.1926E-08 + + Final approximate solution + -0.5707 -0.6816 -0.7017 + -0.7042 -0.7014 -0.6919 + -0.6658 -0.5960 -0.4164 diff --git a/simple_examples/baseresults/c06baje.r b/simple_examples/baseresults/c06baje.r new file mode 100644 index 0000000..7049ba9 --- /dev/null +++ b/simple_examples/baseresults/c06baje.r @@ -0,0 +1,15 @@ +C06BAJ Example Program Results + + Estimated Actual +I SEQN RESULT abs error error + +1 1.0000 1.0000 - 1.78e-01 +2 0.7500 0.7500 - -7.25e-02 +3 0.8611 0.8269 - 4.46e-03 +4 0.7986 0.8211 2.56e-01 -1.36e-03 +5 0.8386 0.8226 7.84e-02 1.23e-04 +6 0.8108 0.8224 5.97e-03 -3.26e-05 +7 0.8312 0.8225 1.52e-03 3.50e-06 +8 0.8156 0.8225 1.60e-04 -8.51e-07 +9 0.8280 0.8225 3.70e-05 1.01e-07 +10 0.8180 0.8225 4.48e-06 -2.32e-08 \ No newline at end of file diff --git a/simple_examples/baseresults/c06fkje.r b/simple_examples/baseresults/c06fkje.r new file mode 100644 index 0000000..8ef60db --- /dev/null +++ b/simple_examples/baseresults/c06fkje.r @@ -0,0 +1,13 @@ +C06FKJ Example Program Results + + Covolution Correlation + +0 0.50000 2.00000 +1 1.00000 1.50000 +2 1.50000 1.00000 +3 2.00000 0.50000 +4 2.00000 0.00000 +5 1.50000 0.50000 +6 1.00000 1.00000 +7 0.50000 1.50000 +8 0.00000 2.00000 diff --git a/simple_examples/baseresults/c09aaje.r b/simple_examples/baseresults/c09aaje.r new file mode 100644 index 0000000..950c020 --- /dev/null +++ b/simple_examples/baseresults/c09aaje.r @@ -0,0 +1,18 @@ +C09AAJ Example Program Results + +Parameters read from file :: + Wavelet : Haar End mode : Zero N = 8 +Input data X : +2.000 5.000 8.000 9.000 7.000 4.000 -1.000 1.000 + +Length of wavelet filter : 2 +Number of Levels : 3 +Number of coefficients in each level: + 1 1 2 4 +Total number of wavelength coefficients : 8 + +Wavelet coefficients C: +12.374 4.596 -5.000 5.500 -2.121 -0.707 2.121 -1.414 + +Reconstruction Y : +2.000 5.000 8.000 9.000 7.000 4.000 -1.000 1.000 \ No newline at end of file diff --git a/simple_examples/baseresults/complexargumentexample.r b/simple_examples/baseresults/complexargumentexample.r new file mode 100644 index 0000000..19fc96c --- /dev/null +++ b/simple_examples/baseresults/complexargumentexample.r @@ -0,0 +1 @@ +(1.0, 1.0)/(2.0, 2.0) = (0.5, 0.0) diff --git a/simple_examples/baseresults/d01bdje.r b/simple_examples/baseresults/d01bdje.r new file mode 100644 index 0000000..23c78d1 --- /dev/null +++ b/simple_examples/baseresults/d01bdje.r @@ -0,0 +1,9 @@ + D01BDJ Example Program Results + + A - lower limit of integration = 0.0000 + B - upper limit of integration = 1.0000 + EPSABS - absolute accuracy requested = 0.00E+00 + EPSREL - relative accuracy requested = 1.00E-04 + + RESULT - approximation to the integral = -0.03183 + ABSERR - estimate to the absolute error = 1.34E-11 diff --git a/simple_examples/baseresults/d02neje.r b/simple_examples/baseresults/d02neje.r new file mode 100644 index 0000000..b735aaf --- /dev/null +++ b/simple_examples/baseresults/d02neje.r @@ -0,0 +1,25 @@ + D02NEJ Example Program Results + + D02NEF Example 1 + + t Y(1) Y(2) Y(3) + 0.0000 1.000000 0.000000 0.000000 + 0.0200 0.999204 0.000036 0.000760 + 0.0400 0.998415 0.000036 0.001549 + 0.0600 0.997631 0.000036 0.002333 + 0.0800 0.996852 0.000036 0.003112 + 0.1000 0.996080 0.000036 0.003884 + + The integrator completed task, ITASK = 3 + + D02NEF Example 2 + + t y(1) + 0.0000 2.000000 + 0.2000 2.038016 + 0.4000 2.078379 + 0.6000 2.121462 + 0.8000 2.167736 + 1.0000 2.217821 + + The integrator completed task, ITASK = 3 diff --git a/simple_examples/baseresults/d02tkje.r b/simple_examples/baseresults/d02tkje.r new file mode 100644 index 0000000..4029a48 --- /dev/null +++ b/simple_examples/baseresults/d02tkje.r @@ -0,0 +1,113 @@ + D02TKJ Example Program Results + + + Tolerance = 1.0E-04 R = 1.000E+06 + + Used a mesh of 21 points + Maximum error = 6.16E-10 in interval 20 for component 3 + + + Mesh points: + 1(1) 0.000E+00 2(3) 5.000E-02 3(2) 1.000E-01 4(3) 1.500E-01 + 5(2) 2.000E-01 6(3) 2.500E-01 7(2) 3.000E-01 8(3) 3.500E-01 + 9(2) 4.000E-01 10(3) 4.500E-01 11(2) 5.000E-01 12(3) 5.500E-01 + 13(2) 6.000E-01 14(3) 6.500E-01 15(2) 7.000E-01 16(3) 7.500E-01 + 17(2) 8.000E-01 18(3) 8.500E-01 19(2) 9.000E-01 20(3) 9.500E-01 + 21(1) 1.000E+00 + + x f f' g + 0.000 0.0000 0.0000 1.0000 + 0.050 0.0070 0.1805 0.4416 + 0.100 0.0141 0.0977 0.1886 + 0.150 0.0171 0.0252 0.0952 + 0.200 0.0172 -0.0165 0.0595 + 0.250 0.0157 -0.0400 0.0427 + 0.300 0.0133 -0.0540 0.0322 + 0.350 0.0104 -0.0628 0.0236 + 0.400 0.0071 -0.0683 0.0156 + 0.450 0.0036 -0.0714 0.0078 + 0.500 0.0000 -0.0724 0.0000 + 0.550 -0.0036 -0.0714 -0.0078 + 0.600 -0.0071 -0.0683 -0.0156 + 0.650 -0.0104 -0.0628 -0.0236 + 0.700 -0.0133 -0.0540 -0.0322 + 0.750 -0.0157 -0.0400 -0.0427 + 0.800 -0.0172 -0.0165 -0.0595 + 0.850 -0.0171 0.0252 -0.0952 + 0.900 -0.0141 0.0977 -0.1886 + 0.950 -0.0070 0.1805 -0.4416 + 1.000 -0.0000 0.0000 -1.0000 + + Tolerance = 1.0E-04 R = 1.000E+08 + + Used a mesh of 21 points + Maximum error = 4.49E-09 in interval 6 for component 3 + + + Mesh points: + 1(1) 0.000E+00 2(3) 1.757E-02 3(2) 3.515E-02 4(3) 5.203E-02 + 5(2) 6.891E-02 6(3) 8.593E-02 7(2) 1.030E-01 8(3) 1.351E-01 + 9(2) 1.672E-01 10(3) 2.306E-01 11(2) 2.939E-01 12(3) 4.713E-01 + 13(2) 6.486E-01 14(3) 7.455E-01 15(2) 8.423E-01 16(3) 8.824E-01 + 17(2) 9.225E-01 18(3) 9.449E-01 19(2) 9.673E-01 20(3) 9.836E-01 + 21(1) 1.000E+00 + + x f f' g + 0.000 0.0000 0.0000 1.0000 + 0.018 0.0025 0.1713 0.3923 + 0.035 0.0047 0.0824 0.1381 + 0.052 0.0056 0.0267 0.0521 + 0.069 0.0058 0.0025 0.0213 + 0.086 0.0057 -0.0073 0.0097 + 0.103 0.0056 -0.0113 0.0053 + 0.135 0.0052 -0.0135 0.0027 + 0.167 0.0047 -0.0140 0.0020 + 0.231 0.0038 -0.0142 0.0015 + 0.294 0.0029 -0.0142 0.0012 + 0.471 0.0004 -0.0143 0.0002 + 0.649 -0.0021 -0.0143 -0.0008 + 0.745 -0.0035 -0.0142 -0.0014 + 0.842 -0.0049 -0.0139 -0.0022 + 0.882 -0.0054 -0.0127 -0.0036 + 0.922 -0.0058 -0.0036 -0.0141 + 0.945 -0.0057 0.0205 -0.0439 + 0.967 -0.0045 0.0937 -0.1592 + 0.984 -0.0023 0.1753 -0.4208 + 1.000 -0.0000 0.0000 -1.0000 + + Tolerance = 1.0E-04 R = 1.000E+10 + + Used a mesh of 21 points + Maximum error = 3.13E-06 in interval 7 for component 3 + + + Mesh points: + 1(1) 0.000E+00 2(3) 6.256E-03 3(2) 1.251E-02 4(3) 1.851E-02 + 5(2) 2.450E-02 6(3) 3.076E-02 7(2) 3.702E-02 8(3) 4.997E-02 + 9(2) 6.292E-02 10(3) 9.424E-02 11(2) 1.256E-01 12(3) 4.190E-01 + 13(2) 7.125E-01 14(3) 8.246E-01 15(2) 9.368E-01 16(3) 9.544E-01 + 17(2) 9.719E-01 18(3) 9.803E-01 19(2) 9.886E-01 20(3) 9.943E-01 + 21(1) 1.000E+00 + + x f f' g + 0.000 0.0000 0.0000 1.0000 + 0.006 0.0009 0.1623 0.3422 + 0.013 0.0016 0.0665 0.1021 + 0.019 0.0018 0.0204 0.0318 + 0.025 0.0019 0.0041 0.0099 + 0.031 0.0019 -0.0014 0.0028 + 0.037 0.0019 -0.0031 0.0007 + 0.050 0.0019 -0.0038 -0.0002 + 0.063 0.0018 -0.0038 -0.0003 + 0.094 0.0017 -0.0039 -0.0003 + 0.126 0.0016 -0.0039 -0.0002 + 0.419 0.0004 -0.0041 -0.0001 + 0.712 -0.0008 -0.0042 0.0001 + 0.825 -0.0013 -0.0043 0.0002 + 0.937 -0.0018 -0.0043 0.0003 + 0.954 -0.0019 -0.0042 0.0001 + 0.972 -0.0019 -0.0003 -0.0049 + 0.980 -0.0019 0.0152 -0.0252 + 0.989 -0.0015 0.0809 -0.1279 + 0.994 -0.0008 0.1699 -0.3814 + 1.000 0.0000 -0.0000 -1.0000 diff --git a/simple_examples/baseresults/d02tlje.r b/simple_examples/baseresults/d02tlje.r new file mode 100644 index 0000000..b56a57d --- /dev/null +++ b/simple_examples/baseresults/d02tlje.r @@ -0,0 +1,113 @@ + D02TLJ Example Program Results + + + Tolerance = 1.0E-04 R = 1.000E+06 + + Used a mesh of 21 points + Maximum error = 6.16E-10 in interval 20 for component 3 + + + Mesh points: + 1(1) 0.000E+00 2(3) 5.000E-02 3(2) 1.000E-01 4(3) 1.500E-01 + 5(2) 2.000E-01 6(3) 2.500E-01 7(2) 3.000E-01 8(3) 3.500E-01 + 9(2) 4.000E-01 10(3) 4.500E-01 11(2) 5.000E-01 12(3) 5.500E-01 + 13(2) 6.000E-01 14(3) 6.500E-01 15(2) 7.000E-01 16(3) 7.500E-01 + 17(2) 8.000E-01 18(3) 8.500E-01 19(2) 9.000E-01 20(3) 9.500E-01 + 21(1) 1.000E+00 + + x f f' g + 0.000 0.0000 0.0000 1.0000 + 0.050 0.0070 0.1805 0.4416 + 0.100 0.0141 0.0977 0.1886 + 0.150 0.0171 0.0252 0.0952 + 0.200 0.0172 -0.0165 0.0595 + 0.250 0.0157 -0.0400 0.0427 + 0.300 0.0133 -0.0540 0.0322 + 0.350 0.0104 -0.0628 0.0236 + 0.400 0.0071 -0.0683 0.0156 + 0.450 0.0036 -0.0714 0.0078 + 0.500 0.0000 -0.0724 0.0000 + 0.550 -0.0036 -0.0714 -0.0078 + 0.600 -0.0071 -0.0683 -0.0156 + 0.650 -0.0104 -0.0628 -0.0236 + 0.700 -0.0133 -0.0540 -0.0322 + 0.750 -0.0157 -0.0400 -0.0427 + 0.800 -0.0172 -0.0165 -0.0595 + 0.850 -0.0171 0.0252 -0.0952 + 0.900 -0.0141 0.0977 -0.1886 + 0.950 -0.0070 0.1805 -0.4416 + 1.000 -0.0000 0.0000 -1.0000 + + Tolerance = 1.0E-04 R = 1.000E+08 + + Used a mesh of 21 points + Maximum error = 4.49E-09 in interval 6 for component 3 + + + Mesh points: + 1(1) 0.000E+00 2(3) 1.757E-02 3(2) 3.515E-02 4(3) 5.203E-02 + 5(2) 6.891E-02 6(3) 8.593E-02 7(2) 1.030E-01 8(3) 1.351E-01 + 9(2) 1.672E-01 10(3) 2.306E-01 11(2) 2.939E-01 12(3) 4.713E-01 + 13(2) 6.486E-01 14(3) 7.455E-01 15(2) 8.423E-01 16(3) 8.824E-01 + 17(2) 9.225E-01 18(3) 9.449E-01 19(2) 9.673E-01 20(3) 9.836E-01 + 21(1) 1.000E+00 + + x f f' g + 0.000 0.0000 0.0000 1.0000 + 0.018 0.0025 0.1713 0.3923 + 0.035 0.0047 0.0824 0.1381 + 0.052 0.0056 0.0267 0.0521 + 0.069 0.0058 0.0025 0.0213 + 0.086 0.0057 -0.0073 0.0097 + 0.103 0.0056 -0.0113 0.0053 + 0.135 0.0052 -0.0135 0.0027 + 0.167 0.0047 -0.0140 0.0020 + 0.231 0.0038 -0.0142 0.0015 + 0.294 0.0029 -0.0142 0.0012 + 0.471 0.0004 -0.0143 0.0002 + 0.649 -0.0021 -0.0143 -0.0008 + 0.745 -0.0035 -0.0142 -0.0014 + 0.842 -0.0049 -0.0139 -0.0022 + 0.882 -0.0054 -0.0127 -0.0036 + 0.922 -0.0058 -0.0036 -0.0141 + 0.945 -0.0057 0.0205 -0.0439 + 0.967 -0.0045 0.0937 -0.1592 + 0.984 -0.0023 0.1753 -0.4208 + 1.000 -0.0000 0.0000 -1.0000 + + Tolerance = 1.0E-04 R = 1.000E+10 + + Used a mesh of 21 points + Maximum error = 3.13E-06 in interval 7 for component 3 + + + Mesh points: + 1(1) 0.000E+00 2(3) 6.256E-03 3(2) 1.251E-02 4(3) 1.851E-02 + 5(2) 2.450E-02 6(3) 3.076E-02 7(2) 3.702E-02 8(3) 4.997E-02 + 9(2) 6.292E-02 10(3) 9.424E-02 11(2) 1.256E-01 12(3) 4.190E-01 + 13(2) 7.125E-01 14(3) 8.246E-01 15(2) 9.368E-01 16(3) 9.544E-01 + 17(2) 9.719E-01 18(3) 9.803E-01 19(2) 9.886E-01 20(3) 9.943E-01 + 21(1) 1.000E+00 + + x f f' g + 0.000 0.0000 0.0000 1.0000 + 0.006 0.0009 0.1623 0.3422 + 0.013 0.0016 0.0665 0.1021 + 0.019 0.0018 0.0204 0.0318 + 0.025 0.0019 0.0041 0.0099 + 0.031 0.0019 -0.0014 0.0028 + 0.037 0.0019 -0.0031 0.0007 + 0.050 0.0019 -0.0038 -0.0002 + 0.063 0.0018 -0.0038 -0.0003 + 0.094 0.0017 -0.0039 -0.0003 + 0.126 0.0016 -0.0039 -0.0002 + 0.419 0.0004 -0.0041 -0.0001 + 0.712 -0.0008 -0.0042 0.0001 + 0.825 -0.0013 -0.0043 0.0002 + 0.937 -0.0018 -0.0043 0.0003 + 0.954 -0.0019 -0.0042 0.0001 + 0.972 -0.0019 -0.0003 -0.0049 + 0.980 -0.0019 0.0152 -0.0252 + 0.989 -0.0015 0.0809 -0.1279 + 0.994 -0.0008 0.1699 -0.3814 + 1.000 0.0000 -0.0000 -1.0000 diff --git a/simple_examples/baseresults/d03pcje.r b/simple_examples/baseresults/d03pcje.r new file mode 100644 index 0000000..154a2d9 --- /dev/null +++ b/simple_examples/baseresults/d03pcje.r @@ -0,0 +1,28 @@ +D03PCJ Example Program Results +Accuracy requirement = 1.00000e-03 + Parameter ALPHA = 1.000e+00 +T / X 0.0000 0.4000 0.6000 0.8000 0.9000 1.0000 + +0.0001 U(1) 0.0000 0.8008 1.1988 1.5990 1.7958 1.8485 + U(2) 0.9997 0.9995 0.9994 0.9988 0.9663 -0.0000 + + +0.0010 U(1) 0.0000 0.7982 1.1940 1.5841 1.7179 1.6734 + U(2) 0.9969 0.9952 0.9937 0.9484 0.6385 -0.0000 + + +0.0100 U(1) 0.0000 0.7676 1.1239 1.3547 1.3635 1.2830 + U(2) 0.9627 0.9495 0.8754 0.5537 0.2908 -0.0000 + + +0.1000 U(1) 0.0000 0.3908 0.5007 0.5297 0.5120 0.4744 + U(2) 0.5468 0.4299 0.2995 0.1479 0.0724 -0.0000 + + +1.0000 U(1) 0.0000 0.0007 0.0008 0.0008 0.0008 0.0007 + U(2) 0.0010 0.0007 0.0005 0.0002 0.0001 -0.0000 + +Number of Integration steps in time 78 +Number of residual evaluations of resulting ODE system 378 +Number of Jacobian evaluations 25 +Number of iterations of nonlinear solver 190 diff --git a/simple_examples/baseresults/d03raje.r b/simple_examples/baseresults/d03raje.r new file mode 100644 index 0000000..59cf403 --- /dev/null +++ b/simple_examples/baseresults/d03raje.r @@ -0,0 +1,409 @@ + D03RAJ Example Program Results + + Statistics: + Time = 0.2400 + Total number of accepted timesteps = 77 + Total number of rejected timesteps = 0 + + Total number (rounded) of + Residual Jacobian Newton Lin sys + evals evals iters iters + At level + 1 600 80 200 200 + + Maximum number of + Newton iters Lin sys iters + At level + 1 2 3 + + Solution at every 4th grid point in level 2 at time 0.2500: + + x y approx u + + 6.7500E-01 0.000E+00 2.000E+00 + 7.2500E-01 0.000E+00 1.980E+00 + 7.7500E-01 0.000E+00 1.342E+00 + 8.2500E-01 0.000E+00 1.190E+00 + 7.1250E-01 1.250E-02 1.996E+00 + 7.6250E-01 1.250E-02 1.468E+00 + 8.1250E-01 1.250E-02 1.213E+00 + 7.0000E-01 2.500E-02 1.999E+00 + 7.5000E-01 2.500E-02 1.625E+00 + 8.0000E-01 2.500E-02 1.240E+00 + 6.8750E-01 3.750E-02 2.000E+00 + 7.3750E-01 3.750E-02 1.870E+00 + 7.8750E-01 3.750E-02 1.283E+00 + 6.7500E-01 5.000E-02 2.000E+00 + 7.2500E-01 5.000E-02 1.980E+00 + 7.7500E-01 5.000E-02 1.342E+00 + 8.2500E-01 5.000E-02 1.190E+00 + 7.1250E-01 6.250E-02 1.996E+00 + 7.6250E-01 6.250E-02 1.468E+00 + 8.1250E-01 6.250E-02 1.213E+00 + 7.0000E-01 7.500E-02 1.999E+00 + 7.5000E-01 7.500E-02 1.625E+00 + 8.0000E-01 7.500E-02 1.240E+00 + 6.8750E-01 8.750E-02 2.000E+00 + 7.3750E-01 8.750E-02 1.870E+00 + 7.8750E-01 8.750E-02 1.283E+00 + 6.7500E-01 1.000E-01 2.000E+00 + 7.2500E-01 1.000E-01 1.980E+00 + 7.7500E-01 1.000E-01 1.342E+00 + 8.2500E-01 1.000E-01 1.190E+00 + 7.1250E-01 1.125E-01 1.996E+00 + 7.6250E-01 1.125E-01 1.468E+00 + 8.1250E-01 1.125E-01 1.213E+00 + 7.0000E-01 1.250E-01 1.999E+00 + 7.5000E-01 1.250E-01 1.625E+00 + 8.0000E-01 1.250E-01 1.240E+00 + 6.8750E-01 1.375E-01 2.000E+00 + 7.3750E-01 1.375E-01 1.870E+00 + 7.8750E-01 1.375E-01 1.283E+00 + 6.7500E-01 1.500E-01 2.000E+00 + 7.2500E-01 1.500E-01 1.980E+00 + 7.7500E-01 1.500E-01 1.341E+00 + 8.2500E-01 1.500E-01 1.190E+00 + 7.1250E-01 1.625E-01 1.995E+00 + 7.6250E-01 1.625E-01 1.467E+00 + 8.1250E-01 1.625E-01 1.213E+00 + 7.0000E-01 1.750E-01 1.999E+00 + 7.5000E-01 1.750E-01 1.624E+00 + 8.0000E-01 1.750E-01 1.240E+00 + 6.8750E-01 1.875E-01 2.000E+00 + 7.3750E-01 1.875E-01 1.869E+00 + 7.8750E-01 1.875E-01 1.282E+00 + 6.7500E-01 2.000E-01 2.000E+00 + 7.2500E-01 2.000E-01 1.980E+00 + 7.7500E-01 2.000E-01 1.341E+00 + 8.2500E-01 2.000E-01 1.189E+00 + 7.1250E-01 2.125E-01 1.995E+00 + 7.6250E-01 2.125E-01 1.465E+00 + 8.1250E-01 2.125E-01 1.212E+00 + 7.0000E-01 2.250E-01 1.999E+00 + 7.5000E-01 2.250E-01 1.621E+00 + 8.0000E-01 2.250E-01 1.240E+00 + 6.8750E-01 2.375E-01 2.000E+00 + 7.3750E-01 2.375E-01 1.869E+00 + 7.8750E-01 2.375E-01 1.282E+00 + 6.7500E-01 2.500E-01 2.000E+00 + 7.2500E-01 2.500E-01 1.980E+00 + 7.7500E-01 2.500E-01 1.340E+00 + 8.2500E-01 2.500E-01 1.189E+00 + 7.1250E-01 2.625E-01 1.995E+00 + 7.6250E-01 2.625E-01 1.462E+00 + 8.1250E-01 2.625E-01 1.212E+00 + 7.0000E-01 2.750E-01 1.999E+00 + 7.5000E-01 2.750E-01 1.616E+00 + 8.0000E-01 2.750E-01 1.239E+00 + 6.8750E-01 2.875E-01 2.000E+00 + 7.3750E-01 2.875E-01 1.866E+00 + 7.8750E-01 2.875E-01 1.281E+00 + 6.7500E-01 3.000E-01 2.000E+00 + 7.2500E-01 3.000E-01 1.979E+00 + 7.7500E-01 3.000E-01 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+ 2.6250E-01 8.125E-01 1.212E+00 + 3.1250E-01 8.125E-01 1.212E+00 + 3.6250E-01 8.125E-01 1.211E+00 + 4.1250E-01 8.125E-01 1.209E+00 + 4.6250E-01 8.125E-01 1.206E+00 + 0.0000E+00 8.250E-01 1.190E+00 + 5.0000E-02 8.250E-01 1.190E+00 + 1.0000E-01 8.250E-01 1.190E+00 + 1.5000E-01 8.250E-01 1.190E+00 + 2.0000E-01 8.250E-01 1.189E+00 + 2.5000E-01 8.250E-01 1.189E+00 + 3.0000E-01 8.250E-01 1.189E+00 + 3.5000E-01 8.250E-01 1.189E+00 + 4.0000E-01 8.250E-01 1.187E+00 + 4.5000E-01 8.250E-01 1.185E+00 + 5.0000E-01 8.250E-01 1.182E+00 + + Statistics: + Time = 0.2500 + Total number of accepted timesteps = 161 + Total number of rejected timesteps = 2 + + Total number (rounded) of + Residual Jacobian Newton Lin sys + evals evals iters iters + At level + 1 1000 200 400 400 + 2 200 20 50 50 + + Maximum number of + Newton iters Lin sys iters + At level + 1 4 3 + 2 4 1 diff --git a/simple_examples/baseresults/d03rbje.r b/simple_examples/baseresults/d03rbje.r new file mode 100644 index 0000000..f49a127 --- /dev/null +++ b/simple_examples/baseresults/d03rbje.r @@ -0,0 +1,59 @@ + D03RBJ Example Program Results + + Solution at every 2nd grid point in level 1 at time 1.0000: + + x y approx u exact u approx v exact v + + 0.00 0.00 0.50 0.50 1.00 1.00 + 0.20 0.00 0.50 0.50 1.00 1.00 + 0.10 0.10 0.50 0.50 1.00 1.00 + 0.30 0.10 0.50 0.50 1.00 1.00 + 0.50 0.10 0.50 0.50 1.00 1.00 + 0.70 0.10 0.50 0.50 1.00 1.00 + 0.90 0.10 0.50 0.50 1.00 1.00 + 0.00 0.20 0.50 0.50 1.00 1.00 + 0.20 0.20 0.50 0.50 1.00 1.00 + 0.40 0.20 0.50 0.50 1.00 1.00 + 0.60 0.20 0.50 0.50 1.00 1.00 + 0.80 0.20 0.50 0.50 1.00 1.00 + 1.00 0.20 0.50 0.50 1.00 1.00 + 0.10 0.30 0.50 0.50 1.00 1.00 + 0.30 0.30 0.50 0.50 1.00 1.00 + 0.50 0.30 0.50 0.50 1.00 1.00 + 0.70 0.30 0.50 0.50 1.00 1.00 + 0.90 0.30 0.50 0.50 1.00 1.00 + 0.00 0.40 0.75 0.75 0.75 0.75 + 0.20 0.40 0.50 0.50 1.00 1.00 + 0.40 0.40 0.50 0.50 1.00 1.00 + 0.80 0.40 0.50 0.50 1.00 1.00 + 1.00 0.40 0.50 0.50 1.00 1.00 + 0.10 0.50 0.75 0.75 0.75 0.75 + 0.30 0.50 0.50 0.50 1.00 1.00 + 0.50 0.50 0.50 0.50 1.00 1.00 + 0.70 0.50 0.50 0.50 1.00 1.00 + 0.90 0.50 0.50 0.50 1.00 1.00 + 0.00 0.60 0.75 0.75 0.75 0.75 + 0.20 0.60 0.75 0.75 0.75 0.75 + 0.40 0.60 0.50 0.50 1.00 1.00 + 0.60 0.60 0.50 0.50 1.00 1.00 + 0.80 0.60 0.50 0.50 1.00 1.00 + 1.00 0.60 0.50 0.50 1.00 1.00 + 0.10 0.70 0.75 0.75 0.75 0.75 + 0.30 0.70 0.75 0.75 0.75 0.75 + 0.50 0.70 0.50 0.50 1.00 1.00 + 0.70 0.70 0.50 0.50 1.00 1.00 + 0.90 0.70 0.50 0.50 1.00 1.00 + 0.00 0.80 0.75 0.75 0.75 0.75 + 0.20 0.80 0.75 0.75 0.75 0.75 + 0.40 0.80 0.75 0.75 0.75 0.75 + 0.60 0.80 0.50 0.50 1.00 1.00 + 0.80 0.80 0.50 0.50 1.00 1.00 + 0.10 0.90 0.75 0.75 0.75 0.75 + 0.30 0.90 0.75 0.75 0.75 0.75 + 0.50 0.90 0.75 0.75 0.75 0.75 + 0.70 0.90 0.50 0.50 1.00 1.00 + 0.00 1.00 0.75 0.75 0.75 0.75 + 0.20 1.00 0.75 0.75 0.75 0.75 + 0.40 1.00 0.75 0.75 0.75 0.75 + 0.60 1.00 0.75 0.75 0.75 0.75 + 0.80 1.00 0.50 0.50 1.00 1.00 diff --git a/simple_examples/baseresults/d05baje.r b/simple_examples/baseresults/d05baje.r new file mode 100644 index 0000000..0833ea2 --- /dev/null +++ b/simple_examples/baseresults/d05baje.r @@ -0,0 +1,12 @@ +D05BAJ Example Program Results + +Size of workplace = 486 +Tolerance = 1.0000e-03 + +T Approx. Sol. True Sol. Est. Error Actual Error +3.33 1.80037 1.80033 8.03776e-05 2.38466e-05 +6.67 2.23916 2.23911 1.77740e-04 2.34772e-05 +10.00 2.54310 2.54304 2.45949e-04 2.24564e-05 +13.33 2.77587 2.77581 3.05737e-04 2.17430e-05 +16.67 2.96456 2.96450 3.61698e-04 2.13821e-05 +20.00 3.12324 3.12317 4.17127e-04 2.13102e-05 diff --git a/simple_examples/baseresults/d05beje.r b/simple_examples/baseresults/d05beje.r new file mode 100644 index 0000000..95731f4 --- /dev/null +++ b/simple_examples/baseresults/d05beje.r @@ -0,0 +1,46 @@ +D05BEJ Example Program Results + +Example 1 + +The stepsize h = 0.1000 + + T Approximate + Solution + + 0.5000 0.1191 + 1.0000 0.0528 + 1.5000 0.0265 + 2.0000 0.0146 + 2.5000 0.0086 + 3.0000 0.0052 + 3.5000 0.0033 + 4.0000 0.0022 + 4.5000 0.0014 + 5.0000 0.0010 + 5.5000 0.0007 + 6.0000 0.0004 + 6.5000 0.0003 + 7.0000 0.0002 + +The maximum absolute error, 2.86e-03, occured at T = 0.1000 with solution 0.0326 + + +Example 2 + +The stepsize h = 0.0714 + + T Approximate + Solution + + 0.5000 0.6667 + 1.0000 0.5000 + 1.5000 0.4000 + 2.0000 0.3333 + 2.5000 0.2857 + 3.0000 0.2500 + 3.5000 0.2222 + 4.0000 0.2000 + 4.5000 0.1818 + 5.0000 0.1667 + +The maximum absolute error, 3.17e-06, occured at T = 0.0714 with solution 0.9333 \ No newline at end of file diff --git a/simple_examples/baseresults/dtfsmje.r b/simple_examples/baseresults/dtfsmje.r new file mode 100644 index 0000000..761a9ed --- /dev/null +++ b/simple_examples/baseresults/dtfsmje.r @@ -0,0 +1,10 @@ + DTFSMJ Example Program Results + + The Solution + 1 2 3 4 + 1 13.5562 5.7677 9.7251 1.2209 + 2 -10.1040 -1.9787 -8.9252 -4.4205 + 3 -0.8280 0.2386 2.0348 2.0769 + 4 2.8488 -7.1745 -3.7925 -2.9505 + 5 -3.9321 0.8652 -1.4082 3.1217 + 6 -2.3127 1.8398 2.0152 1.5198 diff --git a/simple_examples/baseresults/e01daje.r b/simple_examples/baseresults/e01daje.r new file mode 100644 index 0000000..a9c2ddb --- /dev/null +++ b/simple_examples/baseresults/e01daje.r @@ -0,0 +1,25 @@ + E01DAJ Example Program Results + + I Knot LAMDA(I) J Knot MU(j) + 4 1.0000 4 0.0000 + 5 1.3000 5 0.4000 + 6 1.5000 6 0.7000 + 7 1.6000 7 1.0000 + 8 2.0000 + + The B-Spline coefficients: + 1.0000 1.1333 1.3667 1.7000 1.9000 2.0000 1.2000 1.3333 + 1.5667 1.9000 2.1000 2.2000 1.5833 1.7167 1.9500 2.2833 + 2.4833 2.5833 2.1433 2.2767 2.5100 2.8433 3.0433 3.1433 + 2.8667 3.0000 3.2333 3.5667 3.7667 3.8667 3.4667 3.6000 + 3.8333 4.1667 4.3667 4.4667 4.0000 4.1333 4.3667 4.7000 + 4.9000 5.0000 + + Spline evaluated on a regular mesh (X across, Y down): + 1.00 1.20 1.40 1.60 1.80 2.00 + 0.00 1.000 1.440 1.960 2.560 3.240 4.000 + 0.20 1.200 1.640 2.160 2.760 3.440 4.200 + 0.40 1.400 1.840 2.360 2.960 3.640 4.400 + 0.60 1.600 2.040 2.560 3.160 3.840 4.600 + 0.80 1.800 2.240 2.760 3.360 4.040 4.800 + 1.00 2.000 2.440 2.960 3.560 4.240 5.000 diff --git a/simple_examples/baseresults/e02alje.r b/simple_examples/baseresults/e02alje.r new file mode 100644 index 0000000..6dfc758 --- /dev/null +++ b/simple_examples/baseresults/e02alje.r @@ -0,0 +1,24 @@ +E02ALJ Example Program Results + + Polynomial coefficients + 1.0000e+00 + 1.0001e+00 + 4.9909e-01 + 1.7042e-01 + 3.4784e-02 + 1.3909e-02 + + Reference deviation = 1.09e-06 + + X Fit exp(x) Residual + 0.00 1.0000 1.0000 -1.09e-06 + 0.10 1.1052 1.1052 9.74e-07 + 0.20 1.2214 1.2214 -7.44e-07 + 0.30 1.3499 1.3499 -9.18e-07 + 0.40 1.4918 1.4918 2.99e-07 + 0.50 1.6487 1.6487 1.09e-06 + 0.60 1.8221 1.8221 4.59e-07 + 0.70 2.0138 2.0138 -8.16e-07 + 0.80 2.2255 2.2255 -8.42e-07 + 0.90 2.4596 2.4596 8.75e-07 + 1.00 2.7183 2.7183 -1.09e-06 diff --git a/simple_examples/baseresults/e04abje.r b/simple_examples/baseresults/e04abje.r new file mode 100644 index 0000000..18b685b --- /dev/null +++ b/simple_examples/baseresults/e04abje.r @@ -0,0 +1,6 @@ +E04ABJ Example Program Results + +The minimum lies in the interval 4.49340940 to 4.49340951 +Its estimated position is 4.49340945, +where the function value is -0.2172 +10 function evaluations were required diff --git a/simple_examples/baseresults/e04bbje.r b/simple_examples/baseresults/e04bbje.r new file mode 100644 index 0000000..86a41ba --- /dev/null +++ b/simple_examples/baseresults/e04bbje.r @@ -0,0 +1,7 @@ +E04BBJ Example Program Results + +The minimum lies in the interval 4.49340946 to 4.49340952 +Its estimated position is 4.49340946, +where the function value is -0.2172 +and the gradient is -3.8e-16 (machine dependent) +6 function evaluations were required diff --git a/simple_examples/baseresults/e04cbje.r b/simple_examples/baseresults/e04cbje.r new file mode 100644 index 0000000..67cd53d --- /dev/null +++ b/simple_examples/baseresults/e04cbje.r @@ -0,0 +1,4 @@ +E04CBJ Example Program Results + +The final function value is 0.0000 +at the point 0.5000 -0.9999 diff --git a/simple_examples/baseresults/e04fcje.r b/simple_examples/baseresults/e04fcje.r new file mode 100644 index 0000000..bd90f04 --- /dev/null +++ b/simple_examples/baseresults/e04fcje.r @@ -0,0 +1,22 @@ + E04FCJ Example Program Results + + On exit, the sum of squares is 0.0082 + at the point 0.0824 1.1330 2.3437 + The estimated gradient is -1.607e-09 -7.436e-11 6.130e-10 + (machine dependent) + and the residuals are + -5.9e-03 + -2.7e-04 + 2.7e-04 + 6.5e-03 + -8.2e-04 + -1.3e-03 + -4.5e-03 + -2.0e-02 + 8.2e-02 + -1.8e-02 + -1.5e-02 + -1.5e-02 + -1.1e-02 + -4.2e-03 + 6.8e-03 diff --git a/simple_examples/baseresults/e04ffje.r b/simple_examples/baseresults/e04ffje.r new file mode 100644 index 0000000..a772ab7 --- /dev/null +++ b/simple_examples/baseresults/e04ffje.r @@ -0,0 +1,73 @@ + E04FFJ Example Program Results + + --------------------------------------------------- + E04F(G|F)), Derivative free solver for data fitting + (nonlinear least-squares problems) + --------------------------------------------------- + + Problem statistics + Number of variables 4 + Number of unconstrained variables 2 + Number of fixed variables 0 + Starting interpolation points 5 + Total interpolation points 5 + Number of residuals 11 + + Begin of Options + Print File = 6 * d + Print Level = 2 * d + Print Options = Yes * d + Print Solution = All * U + Monitoring File = -1 * d + Monitoring Level = 4 * d + Dfo Print Frequency = 1 * d + Dfo Monitor Frequency = 0 * d + + Infinite Bound Size = 1.00000E+20 * d + Stats Time = No * d + Time Limit = 1.00000E+06 * d + + Dfo Initial Interp Points = Coordinate * d + Dfo Max Objective Calls = 500 * d + Dfo Max Soft Restarts = 5 * d + Dfo Max Unsucc Soft Restarts = 3 * d + Dfo Maximum Slow Steps = 20 * d + Dfo Noise Level = 0.00000E+00 * d + Dfo Noisy Problem = No * d + Dfo Number Initial Points = 0 * d + Dfo Number Interp Points = 0 * d + Dfo Number Soft Restarts Pts = 3 * d + Dfo Random Seed = -1 * d + Dfo Starting Trust Region = 1.00000E-01 * d + Dfo Trust Region Slow Tol = 1.02648E-04 * d + Dfo Trust Region Tolerance = 5.00000E-06 * U + Dfo Version = Latest * d + Dfls Small Residuals Tol = 1.08158E-12 * d + End of Options + ---------------------------------------- + step | obj rho | nf | + ---------------------------------------- + 1 | 1.72E-03 1.00E-01 | 6 | + 2 | 6.41E-04 1.00E-01 | 7 | + 3 | 4.52E-04 1.00E-01 | 8 | + 4 | 4.05E-04 1.00E-02 | 9 | + 5 | 4.04E-04 1.00E-02 | 10 | + 6 | 4.03E-04 1.00E-02 | 14 | + 7 | 4.02E-04 1.00E-02 | 15 | + 8 | 4.02E-04 1.00E-03 | 20 | + 9 | 4.02E-04 7.07E-05 | 21 | + 10 | 4.02E-04 7.07E-05 | 23 | s + ---------------------------------------- + Status: Converged, small trust region size + + Value of the objective 4.02423E-04 + Number of objective function evaluations 27 + Number of steps 10 + + + Primal variables: + idx Lower bound Value Upper bound + 1 -inf 1.81300E-01 inf + 2 2.00000E-01 5.90128E-01 1.00000E+00 + 3 -inf 2.56929E-01 inf + 4 3.00000E-01 3.00000E-01 inf diff --git a/simple_examples/baseresults/e04gbje.r b/simple_examples/baseresults/e04gbje.r new file mode 100644 index 0000000..6e9e25e --- /dev/null +++ b/simple_examples/baseresults/e04gbje.r @@ -0,0 +1,22 @@ + E04GBJ Example Program Results + + On exit, the sum of squares is 0.0082 + at the point 0.0824 1.1330 2.3437 + The corresponding gradient is 1.199E-09 -1.865E-11 1.807E-11 + (machine dependent) + and the residuals are + -5.9E-03 + -2.7E-04 + 2.7E-04 + 6.5E-03 + -8.2E-04 + -1.3E-03 + -4.5E-03 + -2.0E-02 + 8.2E-02 + -1.8E-02 + -1.5E-02 + -1.5E-02 + -1.1E-02 + -4.2E-03 + 6.8E-03 diff --git a/simple_examples/baseresults/e04ggje.r b/simple_examples/baseresults/e04ggje.r new file mode 100644 index 0000000..b5dd970 --- /dev/null +++ b/simple_examples/baseresults/e04ggje.r @@ -0,0 +1,44 @@ + E04GGJ Example Program Results + + E04GG, Nonlinear least squares method for bound-constrained problems + Begin of Options + Print File = 6 * d + Print Level = 1 * U + Print Options = Yes * d + Print Solution = No * d + Monitoring File = -1 * d + Monitoring Level = 4 * d + + Infinite Bound Size = 1.00000E+20 * d + Stats Time = No * d + Time Limit = 1.00000E+06 * d + + Bxnl Model = Gauss-newton * U + Bxnl Nlls Method = Galahad * d + Bxnl Glob Method = Reg * U + Bxnl Reg Order = Auto * d + Bxnl Tn Method = Min-1-var * d + Bxnl Basereg Type = None * d + Bxnl Basereg Pow = 2.00000E+00 * d + Bxnl Basereg Term = 1.00000E-02 * d + Bxnl Iteration Limit = 1000 * d + Bxnl Monitor Frequency = 0 * d + Bxnl Print Header = 30 * d + Bxnl Save Covariance Matrix = No * d + Bxnl Stop Abs Tol Fun = 1.05367E-08 * d + Bxnl Stop Abs Tol Grd = 1.05737E-05 * d + Bxnl Stop Rel Tol Fun = 1.05367E-08 * d + Bxnl Stop Rel Tol Grd = 1.05367E-08 * d + Bxnl Stop Step Tol = 2.22045E-16 * d + Bxnl Use Second Derivatives = Yes * U + Bxnl Use Weights = No * d + End of Options + + Status: converged, an optimal solution was found + Value of the objective 2.17328E-06 + Norm of projected gradient 1.51989E-08 + Norm of scaled projected gradient 7.29019E-06 + Norm of step 4.98107E-04 + +Solver stored solution iterate in the handle +X: 4.45E-01 1.87E+00 3.07E+00 4.64E+00 -9.98E-01 4.64E+00 diff --git a/simple_examples/baseresults/e04mtje.r b/simple_examples/baseresults/e04mtje.r new file mode 100644 index 0000000..033d40f --- /dev/null +++ b/simple_examples/baseresults/e04mtje.r @@ -0,0 +1,162 @@ + E04MTJ Example Program Results + +++++++++++ Use the Primal-Dual algorithm ++++++++++ + + ---------------------------------------------- + E04MT, Interior point method for LP problems + ---------------------------------------------- + + Original Problem Statistics + + Number of variables 7 + Number of constraints 7 + Free variables 0 + Number of nonzeros 41 + + + Presolved Problem Statistics + + Number of variables 13 + Number of constraints 7 + Free variables 0 + Number of nonzeros 47 + + + ------------------------------------------------------------------------------ + it| pobj | dobj | optim | feas | compl | mu | mcc | I + ------------------------------------------------------------------------------ + 0 -7.86591E-02 1.71637E-02 1.27E+00 1.06E+00 8.89E-02 1.5E-01 + 1 5.74135E-03 -2.24369E-02 6.11E-16 1.75E-01 2.25E-02 2.8E-02 0 + 2 1.96803E-02 1.37067E-02 5.06E-16 2.28E-02 2.91E-03 3.4E-03 0 + 3 2.15232E-02 1.96162E-02 7.00E-15 9.24E-03 1.44E-03 1.7E-03 0 + 4 2.30321E-02 2.28676E-02 1.15E-15 2.21E-03 2.97E-04 3.4E-04 0 + 5 2.35658E-02 2.35803E-02 1.32E-15 1.02E-04 8.41E-06 9.6E-06 0 + 6 2.35965E-02 2.35965E-02 1.64E-15 7.02E-08 6.35E-09 7.2E-09 0 +Iteration 7 + monit() reports good approximate solution (tol = 1.20E-08): + 7 2.35965E-02 2.35965E-02 1.35E-15 3.52E-11 3.18E-12 3.6E-12 0 + ------------------------------------------------------------------------------ + Status: converged, an optimal solution found + ------------------------------------------------------------------------------ + Final primal objective value 2.359648E-02 + Final dual objective value 2.359648E-02 + Absolute primal infeasibility 4.168797E-15 + Relative primal infeasibility 1.350467E-15 + Absolute dual infeasibility 5.084353E-11 + Relative dual infeasibility 3.518607E-11 + Absolute complementarity gap 2.685778E-11 + Relative complementarity gap 3.175366E-12 + Iterations 7 + + Primal variables: + idx Lower bound Value Upper bound + 1 -1.00000E-02 -1.00000E-02 1.00000E-02 + 2 -1.00000E-01 -1.00000E-01 1.50000E-01 + 3 -1.00000E-02 3.00000E-02 3.00000E-02 + 4 -4.00000E-02 2.00000E-02 2.00000E-02 + 5 -1.00000E-01 -6.74853E-02 5.00000E-02 + 6 -1.00000E-02 -2.28013E-03 inf + 7 -1.00000E-02 -2.34528E-04 inf + + Box bounds dual variables: + idx Lower bound Value Upper bound Value + 1 -1.00000E-02 3.30098E-01 1.00000E-02 0.00000E+00 + 2 -1.00000E-01 1.43844E-02 1.50000E-01 0.00000E+00 + 3 -1.00000E-02 0.00000E+00 3.00000E-02 9.09967E-02 + 4 -4.00000E-02 0.00000E+00 2.00000E-02 7.66124E-02 + 5 -1.00000E-01 3.51391E-11 5.00000E-02 0.00000E+00 + 6 -1.00000E-02 3.42902E-11 inf 0.00000E+00 + 7 -1.00000E-02 8.61040E-12 inf 0.00000E+00 + + Constraints dual variables: + idx Lower bound Value Upper bound Value + 1 -1.30000E-01 0.00000E+00 -1.30000E-01 1.43111E+00 + 2 -inf 0.00000E+00 -4.90000E-03 4.00339E-10 + 3 -inf 0.00000E+00 -6.40000E-03 1.54305E-08 + 4 -inf 0.00000E+00 -3.70000E-03 3.80136E-10 + 5 -inf 0.00000E+00 -1.20000E-03 4.72629E-11 + 6 -9.92000E-02 1.50098E+00 inf 0.00000E+00 + 7 -3.00000E-03 1.51661E+00 2.00000E-03 0.00000E+00 + +++++++++++ Use the Self-Dual algorithm ++++++++++ + + ---------------------------------------------- + E04MT, Interior point method for LP problems + ---------------------------------------------- + + Original Problem Statistics + + Number of variables 7 + Number of constraints 7 + Free variables 0 + Number of nonzeros 41 + + + Presolved Problem Statistics + + Number of variables 13 + Number of constraints 7 + Free variables 0 + Number of nonzeros 47 + + + ------------------------------------------------------------------------------ + it| pobj | dobj | p.inf | d.inf | d.gap | tau | mcc | I + ------------------------------------------------------------------------------ + 0 -6.39941E-01 4.94000E-02 1.07E+01 2.69E+00 5.54E+00 1.0E+00 + 1 -8.56025E-02 -1.26938E-02 2.07E-01 2.07E-01 2.07E-01 1.7E+00 0 + 2 4.09196E-03 1.24373E-02 4.00E-02 4.00E-02 4.00E-02 2.8E+00 0 + 3 1.92404E-02 2.03658E-02 6.64E-03 6.64E-03 6.64E-03 3.2E+00 1 + 4 1.99631E-02 2.07574E-02 3.23E-03 3.23E-03 3.23E-03 2.3E+00 1 + 5 2.03834E-02 2.11141E-02 1.68E-03 1.68E-03 1.68E-03 1.4E+00 0 + 6 2.22419E-02 2.25057E-02 5.73E-04 5.73E-04 5.73E-04 1.4E+00 1 + 7 2.35051E-02 2.35294E-02 6.58E-05 6.58E-05 6.58E-05 1.4E+00 6 + 8 2.35936E-02 2.35941E-02 1.19E-06 1.19E-06 1.19E-06 1.4E+00 0 +Iteration 9 + monit() reports good approximate solution (tol = 1.20E-08): + 9 2.35965E-02 2.35965E-02 5.37E-10 5.37E-10 5.37E-10 1.4E+00 0 +Iteration 10 + monit() reports good approximate solution (tol = 1.20E-08): + 10 2.35965E-02 2.35965E-02 2.68E-13 2.68E-13 2.68E-13 1.4E+00 0 + ------------------------------------------------------------------------------ + Status: converged, an optimal solution found + ------------------------------------------------------------------------------ + Final primal objective value 2.359648E-02 + Final dual objective value 2.359648E-02 + Absolute primal infeasibility 2.853383E-12 + Relative primal infeasibility 2.677658E-13 + Absolute dual infeasibility 1.485749E-12 + Relative dual infeasibility 2.679654E-13 + Absolute complementarity gap 7.228861E-13 + Relative complementarity gap 2.683908E-13 + Iterations 10 + + Primal variables: + idx Lower bound Value Upper bound + 1 -1.00000E-02 -1.00000E-02 1.00000E-02 + 2 -1.00000E-01 -1.00000E-01 1.50000E-01 + 3 -1.00000E-02 3.00000E-02 3.00000E-02 + 4 -4.00000E-02 2.00000E-02 2.00000E-02 + 5 -1.00000E-01 -6.74853E-02 5.00000E-02 + 6 -1.00000E-02 -2.28013E-03 inf + 7 -1.00000E-02 -2.34528E-04 inf + + Box bounds dual variables: + idx Lower bound Value Upper bound Value + 1 -1.00000E-02 3.30098E-01 1.00000E-02 0.00000E+00 + 2 -1.00000E-01 1.43844E-02 1.50000E-01 0.00000E+00 + 3 -1.00000E-02 0.00000E+00 3.00000E-02 9.09967E-02 + 4 -4.00000E-02 0.00000E+00 2.00000E-02 7.66124E-02 + 5 -1.00000E-01 3.66960E-12 5.00000E-02 0.00000E+00 + 6 -1.00000E-02 2.47652E-11 inf 0.00000E+00 + 7 -1.00000E-02 7.82645E-13 inf 0.00000E+00 + + Constraints dual variables: + idx Lower bound Value Upper bound Value + 1 -1.30000E-01 0.00000E+00 -1.30000E-01 1.43111E+00 + 2 -inf 0.00000E+00 -4.90000E-03 1.07904E-10 + 3 -inf 0.00000E+00 -6.40000E-03 1.14799E-09 + 4 -inf 0.00000E+00 -3.70000E-03 4.09190E-12 + 5 -inf 0.00000E+00 -1.20000E-03 1.52421E-12 + 6 -9.92000E-02 1.50098E+00 inf 0.00000E+00 + 7 -3.00000E-03 1.51661E+00 2.00000E-03 0.00000E+00 diff --git a/simple_examples/baseresults/e04mxje.r b/simple_examples/baseresults/e04mxje.r new file mode 100644 index 0000000..1928db4 --- /dev/null +++ b/simple_examples/baseresults/e04mxje.r @@ -0,0 +1,38 @@ + E04MXJ Example Program Results + + MPSX INPUT LISTING + ------------------ + Searching for indicator line + Line 1: Found NAME indicator line + Query mode - Ignoring NAME data. + Line 2: Found ROWS indicator line + Query mode - Counting ROWS data. + Line 7: Found COLUMNS indicator line + Query mode - Counting COLUMNS data. + Line 26: Found RHS indicator line + Query mode - Ignoring RHS data. + Line 31: Found RANGES indicator line + Query mode - Ignoring RANGES data. + Line 35: Found BOUNDS indicator line + Query mode - Counting BOUNDS data. + Line 54: Found QUADOBJ indicator line + Query mode - Counting QUADOBJ data. + Query mode - End of QUADOBJ data. Exit + + MPSX INPUT LISTING + ------------------ + Searching for indicator line + Line 1: Found NAME indicator line + Line 2: Found ROWS indicator line + Line 7: Found COLUMNS indicator line + Line 26: Found RHS indicator line + Line 31: Found RANGES indicator line + Line 35: Found BOUNDS indicator line + Line 54: Found QUADOBJ indicator line + Line 64: Found ENDATA indicator line + + Problem contains 9 variables and 4 linear constraints + + Final objective value = -8.068E+00 + Optimal X = + 2.00 -0.23 -0.27 -0.30 -0.10 2.00 2.00 -1.78 -0.46 diff --git a/simple_examples/baseresults/e04ncje.r b/simple_examples/baseresults/e04ncje.r new file mode 100644 index 0000000..65a6326 --- /dev/null +++ b/simple_examples/baseresults/e04ncje.r @@ -0,0 +1,23 @@ + E04NCJ Example Program Results + + Varbl Istate Value Lagr Mult + + V 1 1 0.000E+00 1.572E-01 + V 2 0 4.153E-02 0.000E+00 + V 3 0 5.872E-01 0.000E+00 + V 4 1 0.000E+00 8.782E-01 + V 5 0 9.964E-02 0.000E+00 + V 6 1 0.000E+00 1.473E-01 + V 7 0 4.906E-02 0.000E+00 + V 8 1 0.000E+00 8.603E-01 + V 9 0 3.056E-01 0.000E+00 + + + L Con Istate Value Lagr Mult + + L 1 1 2.000E+00 3.777E-01 + L 2 2 2.000E+00 -5.791E-02 + L 3 1 1.000E+00 1.075E-01 + + + Final objective value = 8.134E-02 diff --git a/simple_examples/baseresults/e04nfje.r b/simple_examples/baseresults/e04nfje.r new file mode 100644 index 0000000..13101d2 --- /dev/null +++ b/simple_examples/baseresults/e04nfje.r @@ -0,0 +1,66 @@ + E04NFJ Example Program Results + + *** e04nf + + Parameters + ---------- + + Problem type........... QP2 + + Linear constraints..... 7 Feasibility tolerance.. 1.05E-08 + Variables.............. 7 Optimality tolerance... 1.05E-08 + Hessian rows........... 7 Rank tolerance......... 1.11E-14 + + Infinite bound size.... 1.00E+20 COLD start............. + Infinite step size..... 1.00E+20 EPS (machine precision) 1.11E-16 + + Check frequency........ 50 Expand frequency....... 5 + Minimum sum of infeas.. NO Crash tolerance........ 1.00E-02 + + Max degrees of freedom. 7 Print level............ 10 + Feasibility phase itns. 70 Monitoring file........ -1 + Optimality phase itns. 70 + + Workspace provided is IWORK( 17), WORK( 189). + To solve problem we need IWORK( 17), WORK( 189). + + + Itn Step Ninf Sinf/Objective Norm Gz + 0 0.0E+00 3 1.038000E-01 0.0E+00 + 1 4.1E-02 1 3.000000E-02 0.0E+00 + 2 4.2E-02 0 0.000000E+00 0.0E+00 + Itn 2 -- Feasible point found. + 2 0.0E+00 0 4.580000E-02 0.0E+00 + 3 1.3E-01 0 4.161596E-02 0.0E+00 + 4 1.0E+00 0 3.936227E-02 4.2E-17 + 5 4.1E-01 0 3.758935E-02 1.2E-02 + 6 1.0E+00 0 3.755377E-02 1.0E-17 + 7 1.0E+00 0 3.703165E-02 3.8E-17 + + + Varbl State Value Lower Bound Upper Bound Lagr Mult Slack + + V 1 LL -1.000000E-02 -1.000000E-02 1.000000E-02 0.4700 . + V 2 FR -6.986465E-02 -0.100000 0.150000 . 3.0135E-02 + V 3 FR 1.825915E-02 -1.000000E-02 3.000000E-02 . 1.1741E-02 + V 4 FR -2.426081E-02 -4.000000E-02 2.000000E-02 . 1.5739E-02 + V 5 FR -6.200564E-02 -0.100000 5.000000E-02 . 3.7994E-02 + V 6 FR 1.380544E-02 -1.000000E-02 None . 2.3805E-02 + V 7 FR 4.066496E-03 -1.000000E-02 None . 1.4066E-02 + + + L Con State Value Lower Bound Upper Bound Lagr Mult Slack + + L 1 EQ -0.130000 -0.130000 -0.130000 -1.908 -5.5511E-17 + L 2 FR -5.879898E-03 None -4.900000E-03 . 9.7990E-04 + L 3 UL -6.400000E-03 None -6.400000E-03 -0.3144 8.6736E-19 + L 4 FR -4.537323E-03 None -3.700000E-03 . 8.3732E-04 + L 5 FR -2.915996E-03 None -1.200000E-03 . 1.7160E-03 + L 6 LL -9.920000E-02 -9.920000E-02 None 1.955 . + L 7 LL -3.000000E-03 -3.000000E-03 2.000000E-03 1.972 4.3368E-18 + + Exit e04nf - Optimal QP solution. + + Final QP objective value = 0.3703165E-01 + + Exit from QP problem after 7 iterations. diff --git a/simple_examples/baseresults/e04nkje.r b/simple_examples/baseresults/e04nkje.r new file mode 100644 index 0000000..bbfdea9 --- /dev/null +++ b/simple_examples/baseresults/e04nkje.r @@ -0,0 +1,26 @@ +E04NKJ Example Program Results + + Variable Istate Value Lagr Mult + + ...X1... 0 0.00000 2361 + ...X2... 3 349.399 -3.657e-12 + ...X3... 2 648.853 -5.924e-12 + ...X4... 2 172.847 1.949e-12 + ...X5... 3 407.521 0.000 + ...X6... 3 271.356 -3.280e-12 + ...X7... 3 150.023 -1.413e-12 + + + Constrnt Istate Value Lagr Mult + + ..ROW1.. 0 2000.00 -1.290e+04 + ..ROW2.. 3 49.2316 0.000 + ..ROW3.. 1 100.000 -2325 + ..ROW4.. 3 32.0719 0.000 + ..ROW5.. 3 14.5572 0.000 + ..ROW6.. 0 1500.00 1.445e+04 + ..ROW7.. 0 250.000 1.458e+04 + ..COST.. 3 -2.98869e+06 -1.000 + + +Final objetive value = -1847785 diff --git a/simple_examples/baseresults/e04nqje.r b/simple_examples/baseresults/e04nqje.r new file mode 100644 index 0000000..8515ce8 --- /dev/null +++ b/simple_examples/baseresults/e04nqje.r @@ -0,0 +1,6 @@ + E04NQJ Example Program Results + + QP problem contains 7 variables and 8 linear constraints + + Final objective value = -1.848E+06 + Optimal X = 0.00 349.40 648.85 172.85 407.52 271.36 150.02 diff --git a/simple_examples/baseresults/e04ptje.r b/simple_examples/baseresults/e04ptje.r new file mode 100644 index 0000000..24d78ba --- /dev/null +++ b/simple_examples/baseresults/e04ptje.r @@ -0,0 +1,39 @@ +E04PTJ Example Program Results + + + ------------------------------------------------ + E04PT, Interior point method for SOCP problems + ------------------------------------------------ + + Begin of Options + Print File = 6 * d + Print Level = 1 * U + Print Options = Yes * d + Print Solution = No * d + Monitoring File = -1 * d + Monitoring Level = 4 * d + Socp Monitor Frequency = 1 * U + + Infinite Bound Size = 1.00000E+20 * d + Task = Minimize * d + Stats Time = No * d + Time Limit = 1.00000E+06 * d + + Socp Iteration Limit = 100 * d + Socp Max Iterative Refinement = 9 * d + Socp Presolve = Yes * d + Socp Scaling = None * d + Socp Stop Tolerance = 1.05367E-08 * d + Socp Stop Tolerance 2 = 1.05367E-08 * d + Socp System Formulation = Auto * d + End of Options + +monit() reports good approximate solution (tol = 1.00E-07) + Status: converged, an optimal solution found + Final primal objective value 2.571350E+00 + Final dual objective value 2.571350E+00 + Optimal X: + x_idx Value + 1 1.174E+00 + 2 -4.257E+00 + 3 9.814E-01 diff --git a/simple_examples/baseresults/e04rpje.r b/simple_examples/baseresults/e04rpje.r new file mode 100644 index 0000000..93e29fb --- /dev/null +++ b/simple_examples/baseresults/e04rpje.r @@ -0,0 +1,105 @@ +E04RPJ Example Program Results + +Passing SDP problem to solver + + Overview + Status: Problem and option settings are editable. + No of variables: 5 + Objective function: linear + Simple bounds: not defined yet + Linear constraints: not defined yet + Nonlinear constraints: not defined yet + Cone constraints: not defined yet + Matrix constraints: 2 + Matrix constraints + IDblk = 1, size = 2 x 2, polynomial of order 2 + IDblk = 2, size = 2 x 2, linear + E04SV, NLP-SDP Solver (Pennon) + ------------------------------ + Number of variables 5 [eliminated 0] + simple linear nonlin + (Standard) inequalities 0 0 0 + (Standard) equalities 0 0 + Matrix inequalities 1 1 [dense 2, sparse 0] + [max dimension 2] + + Begin of Options + Print File = 6 * d + Print Level = 2 * d + Print Options = Yes * d + Monitoring File = -1 * d + Monitoring Level = 4 * d + Monitor Frequency = 0 * d + + Infinite Bound Size = 1.00000E+20 * d + Task = Minimize * d + Stats Time = No * d + + Dimacs Measures = No * S + Hessian Density = Dense * S + Init Value P = 1.00000E+00 * d + Init Value Pmat = 1.00000E+00 * d + Initial P = Automatic * d + Initial U = Automatic * d + Initial X = User * d + Inner Iteration Limit = 100 * d + Inner Stop Criteria = Heuristic * d + Inner Stop Tolerance = 1.00000E-02 * d + Linesearch Mode = Goldstein * S + Outer Iteration Limit = 100 * d + P Min = 1.05367E-08 * d + P Update Speed = 12 * d + Pmat Min = 1.05367E-08 * d + Preference = Speed * d + Presolve Block Detect = Yes * d + Stop Criteria = Soft * d + Stop Tolerance 1 = 1.00000E-06 * d + Stop Tolerance 2 = 1.00000E-07 * d + Stop Tolerance Feasibility = 1.00000E-07 * d + Transform Constraints = No * S + U Update Restriction = 5.00000E-01 * d + Umat Update Restriction = 3.00000E-01 * d + End of Options + -------------------------------------------------------------- + it| objective | optim | feas | compl | pen min |inner + -------------------------------------------------------------- + 0 0.00000E+00 1.82E+01 1.00E+00 4.00E+00 2.00E+00 0 + 1 4.11823E+00 3.85E-03 0.00E+00 1.73E+00 2.00E+00 6 + 2 2.58252E+00 5.36E-03 0.00E+00 4.93E-01 9.04E-01 4 + 3 2.06132E+00 1.02E-03 0.00E+00 7.70E-02 4.08E-01 4 + 4 2.00050E+00 3.00E-03 8.91E-03 1.78E-02 1.85E-01 3 + 5 1.99929E+00 1.55E-03 3.16E-03 3.65E-03 8.34E-02 2 + 6 1.99985E+00 1.03E-04 3.16E-04 7.19E-04 3.77E-02 4 + 7 1.99997E+00 7.04E-04 5.76E-05 1.41E-04 1.70E-02 1 + 8 2.00000E+00 1.32E-04 6.52E-06 2.76E-05 7.70E-03 1 + 9 2.00000E+00 8.49E-06 7.86E-07 5.37E-06 3.48E-03 1 + 10 2.00000E+00 5.88E-07 1.06E-07 1.04E-06 1.57E-03 1 + 11 2.00000E+00 5.55E-08 4.87E-08 2.02E-07 7.11E-04 1 + 12 2.00000E+00 5.34E-09 5.37E-09 3.93E-08 3.21E-04 1 + 13 2.00000E+00 5.03E-10 5.45E-09 7.62E-09 1.45E-04 1 + 14 2.00000E+00 4.45E-11 5.55E-09 1.48E-09 6.56E-05 1 + -------------------------------------------------------------- + it| objective | optim | feas | compl | pen min |inner + -------------------------------------------------------------- + 15 2.00000E+00 4.36E-12 5.67E-09 2.87E-10 2.96E-05 1 + 16 2.00000E+00 1.61E-11 5.82E-09 5.57E-11 1.34E-05 1 + 17 2.00000E+00 3.13E-11 6.00E-09 1.08E-11 6.06E-06 1 + 18 2.00000E+00 8.65E-11 6.22E-09 2.10E-12 2.74E-06 1 + 19 2.00000E+00 1.31E-10 6.48E-09 4.07E-13 1.24E-06 1 + -------------------------------------------------------------- + Status: converged, an optimal solution found + -------------------------------------------------------------- + Final objective value 2.000000E+00 + Relative precision 8.141636E-16 + Optimality 1.310533E-10 + Feasibility 6.484489E-09 + Complementarity 4.066867E-13 + Iteration counts + Outer iterations 19 + Inner iterations 36 + Linesearch steps 56 + Evaluation counts + Augm. Lagr. values 76 + Augm. Lagr. gradient 56 + Augm. Lagr. hessian 36 + -------------------------------------------------------------- \ No newline at end of file diff --git a/simple_examples/baseresults/e04rsje.r b/simple_examples/baseresults/e04rsje.r new file mode 100644 index 0000000..170a9e9 --- /dev/null +++ b/simple_examples/baseresults/e04rsje.r @@ -0,0 +1,35 @@ + E04RSJ Example Program Results + E04PT, Interior point method for SOCP problems + Begin of Options + Print File = 6 * d + Print Level = 1 * U + Print Options = Yes * d + Print Solution = No * d + Monitoring File = -1 * d + Monitoring Level = 4 * d + Socp Monitor Frequency = 1 * U + + Infinite Bound Size = 1.00000E+20 * d + Task = Minimize * d + Stats Time = No * d + Time Limit = 1.00000E+06 * d + + Socp Iteration Limit = 100 * d + Socp Max Iterative Refinement = 9 * d + Socp Presolve = Yes * d + Socp Scaling = None * d + Socp Stop Tolerance = 1.05367E-08 * d + Socp Stop Tolerance 2 = 1.05367E-08 * d + Socp System Formulation = Auto * d + End of Options + + + monit() reports good approximate solution (tol = 1.00e-07) + Status: converged, an optimal solution found + Final primal objective value 2.571350E+00 + Final dual objective value 2.571350E+00 + Optimal X: + x_idx Value + 0 1.174e+00 + 1 -4.257e+00 + 2 9.814e-01 diff --git a/simple_examples/baseresults/e04rtje.r b/simple_examples/baseresults/e04rtje.r new file mode 100644 index 0000000..65ffe25 --- /dev/null +++ b/simple_examples/baseresults/e04rtje.r @@ -0,0 +1,35 @@ + E04RTJ Example Program Results + E04PT, Interior point method for SOCP problems + Begin of Options + Print File = 6 * d + Print Level = 1 * U + Print Options = Yes * d + Print Solution = No * d + Monitoring File = -1 * d + Monitoring Level = 4 * d + Socp Monitor Frequency = 1 * U + + Infinite Bound Size = 1.00000E+20 * d + Task = Minimize * d + Stats Time = No * d + Time Limit = 1.00000E+06 * d + + Socp Iteration Limit = 100 * d + Socp Max Iterative Refinement = 9 * d + Socp Presolve = Yes * d + Socp Scaling = None * d + Socp Stop Tolerance = 1.05367E-08 * d + Socp Stop Tolerance 2 = 1.05367E-08 * d + Socp System Formulation = Auto * d + End of Options + + + monit() reports good approximate solution (tol = 1.00e-07) + Status: converged, an optimal solution found + Final primal objective value 1.313004E-01 + Final dual objective value 1.313004E-01 + Optimal X: + x_idx Value + 0 1.000e+00 + 1 -9.722e-01 + 2 9.722e-01 diff --git a/simple_examples/baseresults/e04saje.r b/simple_examples/baseresults/e04saje.r new file mode 100644 index 0000000..c10990a --- /dev/null +++ b/simple_examples/baseresults/e04saje.r @@ -0,0 +1,33 @@ + E04SAJ Example Program Results + E04PT, Interior point method for SOCP problems + Begin of Options + Print File = 6 * d + Print Level = 1 * U + Print Options = Yes * d + Print Solution = No * d + Monitoring File = -1 * d + Monitoring Level = 4 * d + Socp Monitor Frequency = 0 * d + + Infinite Bound Size = 1.00000E+20 * d + Task = Minimize * d + Stats Time = No * d + Time Limit = 1.00000E+06 * d + + Socp Iteration Limit = 100 * d + Socp Max Iterative Refinement = 9 * d + Socp Presolve = Yes * d + Socp Scaling = None * d + Socp Stop Tolerance = 1.05367E-08 * d + Socp Stop Tolerance 2 = 1.05367E-08 * d + Socp System Formulation = Auto * d + End of Options + + Status: converged, an optimal solution found + Final primal objective value -1.951817E+01 + Final dual objective value -1.951817E+01 + Optimal X: + x_idx Value + 0 -1.26819e+00 + 1 -4.08429e-01 + 2 1.33234e+00 diff --git a/simple_examples/baseresults/e04taje.r b/simple_examples/baseresults/e04taje.r new file mode 100644 index 0000000..a6cf135 --- /dev/null +++ b/simple_examples/baseresults/e04taje.r @@ -0,0 +1,39 @@ + E04TAJ Example Program Results + + Solve the first LP + + E04MT, Interior point method for LP problems + Status: converged, an optimal solution found + Final primal objective value 8.500000E+02 + Final dual objective value 8.500000E+02 + + Primal variables: + idx Lower bound Value Upper bound + 1 0.00000E+00 2.00000E+02 inf + 2 0.00000E+00 1.00000E+02 1.00000E+02 + + The new variable has been added, solve the handle again + + E04MT, Interior point method for LP problems + Status: converged, an optimal solution found + Final primal objective value 9.000000E+02 + Final dual objective value 9.000000E+02 + + Primal variables: + idx Lower bound Value Upper bound + 1 0.00000E+00 5.00000E+01 inf + 2 0.00000E+00 1.00000E+02 1.00000E+02 + 3 0.00000E+00 5.00000E+01 5.00000E+01 + + The new constraint has been added, solve the handle again + + E04MT, Interior point method for LP problems + Status: converged, an optimal solution found + Final primal objective value 8.750000E+02 + Final dual objective value 8.750000E+02 + + Primal variables: + idx Lower bound Value Upper bound + 1 0.00000E+00 1.50000E+02 inf + 2 0.00000E+00 5.00000E+01 1.00000E+02 + 3 0.00000E+00 5.00000E+01 5.00000E+01 diff --git a/simple_examples/baseresults/e04tcje.r b/simple_examples/baseresults/e04tcje.r new file mode 100644 index 0000000..cd501a1 --- /dev/null +++ b/simple_examples/baseresults/e04tcje.r @@ -0,0 +1,58 @@ + E04TCJ Example Program Results + + First solve the problem with the outliers + + -------------------------------------------------------- + E04GG, Nonlinear least squares method for bound-constrained problems + Status: converged, an optimal solution was found + Value of the objective 1.05037E+00 + Norm of gradient 8.78014E-06 + Norm of scaled gradient 6.05781E-06 + Norm of step 1.47886E-01 + + Primal variables: + idx Lower bound Value Upper bound + 1 -inf 3.61301E-01 inf + 2 -inf 9.10227E-01 inf + 3 -inf 3.42138E-03 inf + 4 -inf -6.08965E+00 inf + 5 -inf 6.24881E-04 inf + -------------------------------------------------------- + + Now remove the outlier residuals from the problem handle + + -------------------------------------------------------- + E04GG, Nonlinear least squares method for bound-constrained problems + Status: converged, an optimal solution was found + Value of the objective 5.96811E-02 + Norm of gradient 1.19914E-06 + Norm of scaled gradient 3.47087E-06 + Norm of step 3.49256E-06 + + Primal variables: + idx Lower bound Value Upper bound + 1 -inf 3.53888E-01 inf + 2 -inf 1.06575E+00 inf + 3 -inf 1.91383E-03 inf + 4 -inf 2.17299E-01 inf + 5 -inf 5.17660E+00 inf + -------------------------------------------------------- + + Assuming the outliers points are measured again + we can enable the residuals and adjust the values + + -------------------------------------------------------- + E04GG, Nonlinear least squares method for bound-constrained problems + Status: converged, an optimal solution was found + Value of the objective 6.51802E-02 + Norm of gradient 2.57338E-07 + Norm of scaled gradient 7.12740E-07 + Norm of step 1.56251E-05 + + Primal variables: + idx Lower bound Value Upper bound + 1 3.00000E-01 3.00000E-01 3.00000E-01 + 2 -inf 1.06039E+00 inf + 3 -inf 2.11765E-02 inf + 4 -inf 2.11749E-01 inf + 5 -inf 5.16415E+00 inf diff --git a/simple_examples/baseresults/e04uc_example.r b/simple_examples/baseresults/e04uc_example.r new file mode 100644 index 0000000..abde1c6 --- /dev/null +++ b/simple_examples/baseresults/e04uc_example.r @@ -0,0 +1,95 @@ + E04UC_Example Example Program Results + + *** e04uc + + Parameters + ---------- + + Linear constraints..... 1 Variables.............. 4 + Nonlinear constraints.. 2 + + Infinite bound size.... 1.00E+20 COLD start............. + Infinite step size..... 1.00E+20 EPS (machine precision) 1.11E-16 + Step limit............. 2.00E+00 Hessian................ NO + + Linear feasibility..... 1.05E-08 Crash tolerance........ 1.00E-02 + Nonlinear feasibility.. 1.05E-08 Optimality tolerance... 3.26E-12 + Line search tolerance.. 9.00E-01 Function precision..... 4.37E-15 + + Derivative level....... 3 Monitoring file........ -1 + Verify level........... 0 + + Major iterations limit. 50 Major print level...... 10 + Minor iterations limit. 50 Minor print level...... 0 + + Start point + 1.000000E+00 5.000000E+00 5.000000E+00 1.000000E+00 + + Workspace provided is IWORK( 17), WORK( 185). + To solve problem we need IWORK( 17), WORK( 185). + + + Verification of the constraint gradients. + ----------------------------------------- + + The constraint Jacobian seems to be ok. + + The largest relative error was 2.29E-07 in constraint 2 + + + + Verification of the objective gradients. + ---------------------------------------- + + The objective gradients seem to be ok. + + Directional derivative of the objective 8.15250000E-01 + Difference approximation 8.15249734E-01 + + + Maj Mnr Step Merit Function Norm Gz Violtn Cond Hz + 0 4 0.0E+00 1.738281E+01 7.1E-01 1.2E+01 1.0E+00 + 1 1 1.0E+00 1.703169E+01 4.6E-02 1.9E+00 1.0E+00 + 2 1 1.0E+00 1.701442E+01 2.1E-02 8.8E-02 1.0E+00 + 3 1 1.0E+00 1.701402E+01 3.1E-04 5.4E-04 1.0E+00 + 4 1 1.0E+00 1.701402E+01 7.0E-06 9.9E-08 1.0E+00 + 5 1 1.0E+00 1.701402E+01 1.1E-08 4.6E-11 1.0E+00 + + Exit from NP problem after 5 major iterations, + 9 minor iterations. + + + Varbl State Value Lower Bound Upper Bound Lagr Mult Slack + + V 1 LL 1.00000 1.00000 5.00000 1.088 . + V 2 FR 4.74300 1.00000 5.00000 . 0.2570 + V 3 FR 3.82115 1.00000 5.00000 . 1.179 + V 4 FR 1.37941 1.00000 5.00000 . 0.3794 + + + L Con State Value Lower Bound Upper Bound Lagr Mult Slack + + L 1 FR 10.9436 None 20.0000 . 9.056 + + + N Con State Value Lower Bound Upper Bound Lagr Mult Slack + + N 1 UL 40.0000 None 40.0000 -0.1615 -3.5264E-11 + N 2 LL 25.0000 25.0000 None 0.5523 -2.8791E-11 + + Exit e04uc - Optimal solution found. + + Final objective value = 17.01402 + + Varbl Istate Value Lagr Mult + + V 0 1 1.000000 1.0879 + V 1 0 4.743000 0.0000 + V 2 0 3.821150 0.0000 + V 3 0 1.379408 0.0000 + + L Con Istate Value Lagr Mult + + L 0 0 10.943558 0.0000 + + Final objective value = 17.0140173 diff --git a/simple_examples/baseresults/e04ucje.r b/simple_examples/baseresults/e04ucje.r new file mode 100644 index 0000000..c024cfc --- /dev/null +++ b/simple_examples/baseresults/e04ucje.r @@ -0,0 +1,22 @@ + E04UCJ Example Program Results + + Varbl Istate Value Lagr Mult + + V 1 1 1.00000 1.088 + V 2 0 4.74300 0.000 + V 3 0 3.82115 0.000 + V 4 0 1.37941 0.000 + + + L Con Istate Value Lagr Mult + + L 1 0 10.9436 0.000 + + + N Con Istate Value Lagr Mult + + N 1 2 40.0000 -0.1615 + N 2 1 25.0000 0.5523 + + + Final objective value = 17.01402 diff --git a/simple_examples/baseresults/e04yaje.r b/simple_examples/baseresults/e04yaje.r new file mode 100644 index 0000000..463bd7f --- /dev/null +++ b/simple_examples/baseresults/e04yaje.r @@ -0,0 +1,25 @@ + E04YAJ Example Program Results + +The test point is + 0.19000 -1.34000 0.88000 + +1st derivatives are consistent with residual values + +At the test point, LSQFUN gives + + Residuals 1st derivatives + -2.029E-03 1.000E+00 -4.061E-02 -2.707E-03 + -1.076E-01 1.000E+00 -9.689E-02 -1.384E-02 + -2.330E-01 1.000E+00 -1.785E-01 -4.120E-02 + -3.785E-01 1.000E+00 -3.043E-01 -1.014E-01 + -5.836E-01 1.000E+00 -5.144E-01 -2.338E-01 + -8.689E-01 1.000E+00 -9.100E-01 -5.460E-01 + -1.346E+00 1.000E+00 -1.810E+00 -1.408E+00 + -2.374E+00 1.000E+00 -4.726E+00 -4.726E+00 + -2.975E+00 1.000E+00 -6.076E+00 -6.076E+00 + -4.013E+00 1.000E+00 -7.876E+00 -7.876E+00 + -5.323E+00 1.000E+00 -1.040E+01 -1.040E+01 + -7.292E+00 1.000E+00 -1.418E+01 -1.418E+01 + -1.057E+01 1.000E+00 -2.048E+01 -2.048E+01 + -1.713E+01 1.000E+00 -3.308E+01 -3.308E+01 + -3.681E+01 1.000E+00 -7.089E+01 -7.089E+01 diff --git a/simple_examples/baseresults/f01adje.r b/simple_examples/baseresults/f01adje.r new file mode 100644 index 0000000..c8570bc --- /dev/null +++ b/simple_examples/baseresults/f01adje.r @@ -0,0 +1,9 @@ + F01ADJ Example Program Results + + Lower triangle of inverse + 1 2 3 4 + 1 + 2 68.0000 + 3 -41.0000 25.0000 + 4 -17.0000 10.0000 5.0000 + 5 10.0000 -6.0000 -3.0000 2.0000 diff --git a/simple_examples/baseresults/f01ckje.r b/simple_examples/baseresults/f01ckje.r new file mode 100644 index 0000000..3264e43 --- /dev/null +++ b/simple_examples/baseresults/f01ckje.r @@ -0,0 +1,5 @@ + F01CKJ Example Program Results + + Matrix A + 5.0 8.0 + 8.0 14.0 diff --git a/simple_examples/baseresults/f01crje.r b/simple_examples/baseresults/f01crje.r new file mode 100644 index 0000000..0b33f3a --- /dev/null +++ b/simple_examples/baseresults/f01crje.r @@ -0,0 +1,6 @@ + F01CRJ Example Program Results + + 1.0 4.0 7.0 10.0 13.0 16.0 19.0 + 2.0 5.0 8.0 11.0 14.0 17.0 20.0 + 3.0 6.0 9.0 12.0 15.0 18.0 21.0 + diff --git a/simple_examples/baseresults/f01dgje.r b/simple_examples/baseresults/f01dgje.r new file mode 100644 index 0000000..85c8df1 --- /dev/null +++ b/simple_examples/baseresults/f01dgje.r @@ -0,0 +1,8 @@ +F01DGJ Example Program Results + + Solution matrix B + 1 2 3 4 + 1 2.1000 1.2600 2.4000 1.2600 + 2 3.2200 9.5480 6.5360 5.3320 + 3 9.3800 17.7240 20.7640 14.5920 + 4 2.6600 20.8600 11.6240 28.5400 diff --git a/simple_examples/baseresults/f01elje.r b/simple_examples/baseresults/f01elje.r new file mode 100644 index 0000000..06a7a20 --- /dev/null +++ b/simple_examples/baseresults/f01elje.r @@ -0,0 +1,10 @@ + F01ELJ Example Program Results + + F(A) = COS(2A) + 1 2 3 4 + 1 -0.1704 -1.1597 -0.1878 -0.7307 + 2 -0.3950 -0.4410 0.7606 0.0655 + 3 -0.0950 -0.0717 0.0619 -0.4351 + 4 -0.1034 0.6424 -1.3964 0.1042 + +Imnorm = 0.0 diff --git a/simple_examples/baseresults/f01emje.r b/simple_examples/baseresults/f01emje.r new file mode 100644 index 0000000..d805f3c --- /dev/null +++ b/simple_examples/baseresults/f01emje.r @@ -0,0 +1,10 @@ +F01EMJ Example Program Results + + F(A) = EXP(2A) + 1 2 3 4 + 1 -12.1880 0.0000 -3.4747 8.3697 + 2 -13.7274 54.5982 -23.9801 82.8593 + 3 -9.7900 0.0000 -25.4527 26.5294 + 4 -18.1597 0.0000 -34.8991 49.2404 + +Imnorm = 0.00 diff --git a/simple_examples/baseresults/f02ekje.r b/simple_examples/baseresults/f02ekje.r new file mode 100644 index 0000000..925d7cb --- /dev/null +++ b/simple_examples/baseresults/f02ekje.r @@ -0,0 +1,20 @@ + F02EKJ Example Program Results + +Iteration Limit= 500 + Arnoldi basis vectors used: 20 + The following Ritz values (mu) are related to the + true eigenvalues (lambda) by lambda = sigma + 1/mu + + Iteration number 1 + Ritz values converged so far ( 2) and their Ritz estimates: + 1 ( 5.69917E-01, 8.80810E-01) 1.30081E-20 + 2 ( 5.69917E-01, -8.80810E-01) 1.30081E-20 + Next (unconverged) Ritz value: + 3 ( 6.07774E-01, 0.00000E+00) + + The 5 Ritz values of closest to 5.50000E+00 are: + 1 ( 6.01781E+00 , -8.00277E-01 ) + 2 ( 6.01781E+00 , 8.00277E-01 ) + 3 ( 4.34309E+00 , -1.94557E+00 ) + 4 ( 4.34309E+00 , 1.94557E+00 ) + 5 ( 7.14535E+00 , 0.00000E+00 ) diff --git a/simple_examples/baseresults/f02fkje.r b/simple_examples/baseresults/f02fkje.r new file mode 100644 index 0000000..8217134 --- /dev/null +++ b/simple_examples/baseresults/f02fkje.r @@ -0,0 +1,14 @@ + F02FKJ Example Program Results + + Iteration Limit= 500 + + Ritz values and residuals + 1 2 + 1 1.9702E+01 5.6583E-13 + 2 4.9036E+01 7.2456E-13 + 3 4.9036E+01 7.0022E-13 + 4 7.8370E+01 8.8089E-13 + 5 9.7197E+01 8.7693E-13 + 6 9.7197E+01 8.7672E-13 + 7 1.2653E+02 6.8423E-13 + 8 1.2653E+02 9.8310E-13 diff --git a/simple_examples/baseresults/f02wgje.r b/simple_examples/baseresults/f02wgje.r new file mode 100644 index 0000000..b4e345c --- /dev/null +++ b/simple_examples/baseresults/f02wgje.r @@ -0,0 +1,7 @@ + F02WGJ Example Program Results + + Singular Value Residual + 0.00830 2.7E-19 + 0.01223 5.9E-18 + 0.02381 1.2E-17 + 0.11274 7.8E-17 diff --git a/simple_examples/baseresults/f03baje.r b/simple_examples/baseresults/f03baje.r new file mode 100644 index 0000000..c4c40d7 --- /dev/null +++ b/simple_examples/baseresults/f03baje.r @@ -0,0 +1,14 @@ +F03BAJ Example Program Results + + Array A after factorization + 1 2 3 + 1 33.0000 16.0000 72.0000 + 2 -0.7273 1.6364 -4.6364 + 3 -0.2424 -0.0741 0.1111 + +Pivots + 1 2 3 + +D = 0.37500 ID = 4 + +Value of determinant = 6.00000e+00 \ No newline at end of file diff --git a/simple_examples/baseresults/f04amje.r b/simple_examples/baseresults/f04amje.r new file mode 100644 index 0000000..86bd893 --- /dev/null +++ b/simple_examples/baseresults/f04amje.r @@ -0,0 +1,4 @@ +F04AMJ Example Program Results +Solution +1.3010 +0.7935 \ No newline at end of file diff --git a/simple_examples/baseresults/f04baje.r b/simple_examples/baseresults/f04baje.r new file mode 100644 index 0000000..eb52050 --- /dev/null +++ b/simple_examples/baseresults/f04baje.r @@ -0,0 +1,14 @@ +F04BAJ Example Program Results + + Solution + 1 2 + 1 1.0000 3.0000 + 2 -1.0000 2.0000 + 3 3.0000 4.0000 + 4 -5.0000 1.0000 + +Estimate of condition number +1.5e+02 + +Esttimate of error bound for computed solutions +1.7e-14 \ No newline at end of file diff --git a/simple_examples/baseresults/f05aaje.r b/simple_examples/baseresults/f05aaje.r new file mode 100644 index 0000000..74b6ae6 --- /dev/null +++ b/simple_examples/baseresults/f05aaje.r @@ -0,0 +1,11 @@ +F05AAJ Example Program Results + +N1 = 2 N2 = 4 + +CC = 0.5822 ICOL = 4 + +Final Vectors +-0.6325 0.3310 -0.5404 +0.3162 -0.2483 0.2119 +-0.6325 -0.0000 0.7735 +0.3162 0.9104 0.2543 \ No newline at end of file diff --git a/simple_examples/baseresults/f06clje.r b/simple_examples/baseresults/f06clje.r new file mode 100644 index 0000000..d167816 --- /dev/null +++ b/simple_examples/baseresults/f06clje.r @@ -0,0 +1,3 @@ + F06CLJ Example Program Results + + (1.0, 1.0)/(2.0, 2.0) = (0.5, 0.0) diff --git a/simple_examples/baseresults/f07aaje.r b/simple_examples/baseresults/f07aaje.r new file mode 100644 index 0000000..086448e --- /dev/null +++ b/simple_examples/baseresults/f07aaje.r @@ -0,0 +1,14 @@ + F07AAJ Example Program Results + + Solution + 1.0000 -1.0000 3.0000 -5.0000 + + Details of factorization + 1 2 3 4 + 1 5.2500 -2.9500 -0.9500 -3.8000 + 2 0.3429 3.8914 2.3757 0.4129 + 3 0.3010 -0.4631 -1.5139 0.2948 + 4 -0.2114 -0.3299 0.0047 0.1314 + + Pivot indices + 2 2 3 4 diff --git a/simple_examples/baseresults/f07abje.r b/simple_examples/baseresults/f07abje.r new file mode 100644 index 0000000..922ca67 --- /dev/null +++ b/simple_examples/baseresults/f07abje.r @@ -0,0 +1,23 @@ +F07ABJ Example Program Results + + Solution(s) + 1 2 + 1 1.0000 3.0000 + 2 -1.0000 2.0000 + 3 3.0000 4.0000 + 4 -5.0000 1.0000 + +Backward errors (machine-dependent) + 7.7e-17 5.8e-17 + +Estimated forward error bounds (machine-dependent) + 2.5e-14 3.4e-14 + +A has been row scaled as diag(R)*A + +Reciprocal condition number estimate of scaled matrix + 1.8e-02 + +Estimate of reciprocal pivot growth factor + 7.4e-01 + diff --git a/simple_examples/baseresults/f07adje.r b/simple_examples/baseresults/f07adje.r new file mode 100644 index 0000000..8aa1615 --- /dev/null +++ b/simple_examples/baseresults/f07adje.r @@ -0,0 +1,10 @@ +F07ADJ Example Program Results + + Details of factorization + 1 2 3 4 + 1 5.2500 -2.9500 -0.9500 -3.8000 + 2 0.3429 3.8914 2.3757 0.4129 + 3 0.3010 -0.4631 -1.5139 0.2948 + 4 -0.2114 -0.3299 0.0047 0.1314 +IPIV + 2 2 3 4 diff --git a/simple_examples/baseresults/f07aqje.r b/simple_examples/baseresults/f07aqje.r new file mode 100644 index 0000000..11cdfa0 --- /dev/null +++ b/simple_examples/baseresults/f07aqje.r @@ -0,0 +1,7 @@ + F07AQJ Example Program Results + + Solution + ( 1.0000, 1.0000) ( 2.0000,-3.0000) (-4.0000,-5.0000) ( 0.0000, 6.0000) + + Pivot indices + 3 2 3 4 diff --git a/simple_examples/baseresults/f07faje.r b/simple_examples/baseresults/f07faje.r new file mode 100644 index 0000000..381aa43 --- /dev/null +++ b/simple_examples/baseresults/f07faje.r @@ -0,0 +1,11 @@ + F07FAJ Example Program Results + + Solution + 1.0000 -1.0000 2.0000 -3.0000 + + Cholesky factor U + 1 2 3 4 + 1 2.0396 -1.5297 0.2746 -0.0490 + 2 1.6401 -0.2500 0.6737 + 3 0.7887 0.6617 + 4 0.5347 diff --git a/simple_examples/baseresults/f07fbje.r b/simple_examples/baseresults/f07fbje.r new file mode 100644 index 0000000..38b2bb5 --- /dev/null +++ b/simple_examples/baseresults/f07fbje.r @@ -0,0 +1,19 @@ + F07FBJ Example Program Results + + Solution(s) + 1 2 + 1 1.0000 4.0000 + 2 -1.0000 3.0000 + 3 2.0000 2.0000 + 4 -3.0000 1.0000 + + Backward errors (machine-dependent) + 6.7e-17 8.2e-17 + + Estimated forward error bounds (machine-dependent) + 2.3e-14 2.4e-14 + + Estimate of reciprocal condition number + 1.0e-02 + + A has not been equilibrated diff --git a/simple_examples/baseresults/f08btje.r b/simple_examples/baseresults/f08btje.r new file mode 100644 index 0000000..b663c71 --- /dev/null +++ b/simple_examples/baseresults/f08btje.r @@ -0,0 +1,16 @@ + F08BTJ Example Program Results + + Tolerance used to estimate the rank of A + 1.00E-02 + Estimated rank of A + 3 + Least squares solution(s) + + 1 2 + 1 ( 0.0000, 0.0000) ( 0.0000, 0.0000) + 2 ( 2.7020, 8.0911) (-2.2682,-2.9884) + 3 ( 2.8888, 2.5012) ( 0.9779, 1.3565) + 4 ( 2.7100, 0.4791) (-1.3734, 0.2212) + + Square root(s) of the residual sum(s) of squares + 2.51E-01 8.10E-02 diff --git a/simple_examples/baseresults/f08faje.r b/simple_examples/baseresults/f08faje.r new file mode 100644 index 0000000..31df0c1 --- /dev/null +++ b/simple_examples/baseresults/f08faje.r @@ -0,0 +1,16 @@ + F08FAJ Example Program Results + + Eigenvalues + -2.0531 -0.5146 -0.2943 12.8621 + Eigenvectors + 1 2 3 4 + 1 0.7003 -0.5144 -0.2767 0.4103 + 2 0.3592 0.4851 0.6634 0.4422 + 3 -0.1569 0.5420 -0.6504 0.5085 + 4 -0.5965 -0.4543 0.2457 0.6144 + + Error estimate for the eigenvalues + 1.4e-15 + + Error estimates for the eigenvectors + 9.3e-16 6.5e-15 6.5e-15 1.1e-16 diff --git a/simple_examples/baseresults/f08xpje.r b/simple_examples/baseresults/f08xpje.r new file mode 100644 index 0000000..96e35e9 --- /dev/null +++ b/simple_examples/baseresults/f08xpje.r @@ -0,0 +1,8 @@ +F08XPJ Example Program Results + +Number of eigenvalues for which SELCTG is true = 2 +(dimension of deflating subspaces) + +Selected generalized eigenvalues + 1 (2.00, -5.00) + 2 (3.00, -1.00) diff --git a/simple_examples/baseresults/g01alje.r b/simple_examples/baseresults/g01alje.r new file mode 100644 index 0000000..3473f35 --- /dev/null +++ b/simple_examples/baseresults/g01alje.r @@ -0,0 +1,7 @@ +G01ALJ Example Program Results + +Maximum 12.0000 +Upper Hinge (75% quantile) 9.5000 +Median (50% quantile) 6.5000 +Lower Hinge (25% quantile) 2.5000 +Minimum 1.0000 diff --git a/simple_examples/baseresults/g02akje.r b/simple_examples/baseresults/g02akje.r new file mode 100644 index 0000000..a4260ce --- /dev/null +++ b/simple_examples/baseresults/g02akje.r @@ -0,0 +1,14 @@ +G02AKJ Example Program Results + + NCM with rank constraint + 1 2 3 4 + 1 1.0000 -0.9021 0.2448 0.1975 + 2 -0.9021 1.0000 -0.6392 0.2448 + 3 0.2448 -0.6392 1.0000 -0.9021 + 4 0.1975 0.2448 -0.9021 1.0000 + +Number of subproblems solved: 4 + +Squared Frobenius norm of difference: 0.3082 + +Rank error: 0.0000 diff --git a/simple_examples/baseresults/g02bjje.r b/simple_examples/baseresults/g02bjje.r new file mode 100644 index 0000000..053b912 --- /dev/null +++ b/simple_examples/baseresults/g02bjje.r @@ -0,0 +1,38 @@ + G02BJJ Example Program Results + + Number of variables (columns) = 4 + Number of cases (rows) = 5 + + Data matrix is:- + 1 2 3 4 + 1 3.0000 3.0000 1.0000 2.0000 + 2 6.0000 4.0000 -1.0000 4.0000 + 3 9.0000 0.0000 5.0000 9.0000 + 4 12.0000 2.0000 0.0000 0.0000 + 5 -1.0000 5.0000 4.0000 12.0000 + + Variable Mean St.dev. + 4 6.7500 4.5735 + 1 7.5000 3.8730 + 2 3.5000 1.2910 + + Sums of squares and cross-products of deviations + 4 1 2 + 4 62.7500 21.0000 10.0000 + 1 21.0000 45.0000 -6.0000 + 2 10.0000 -6.0000 5.0000 + + Correlation coefficients + 4 1 2 + 4 1.0000 0.9707 0.9449 + 1 0.9707 1.0000 -0.6547 + 2 0.9449 -0.6547 1.0000 + + Minimum number of cases used for any pair of variables: 3 + + Numbers used for each pair are: + 4 1 2 + 4 4.0000 3.0000 3.0000 + 1 3.0000 4.0000 3.0000 + 2 3.0000 3.0000 4.0000 + diff --git a/simple_examples/baseresults/g02brje.r b/simple_examples/baseresults/g02brje.r new file mode 100644 index 0000000..7621bb4 --- /dev/null +++ b/simple_examples/baseresults/g02brje.r @@ -0,0 +1,29 @@ +G02BRJ Example Program Results + +Number of variables (columns) = 3 +Number of case (rows) = 9 + +Data matrix is:- + + + 1 2 3 + 1 1.7000 1.0000 0.5000 + 2 2.8000 4.0000 3.0000 + 3 0.6000 6.0000 2.5000 + 4 1.8000 9.0000 6.0000 + 5 0.9900 4.0000 2.5000 + 6 1.4000 2.0000 5.5000 + 7 1.8000 9.0000 7.5000 + 8 2.5000 7.0000 0.0000 + 9 0.9900 5.0000 3.0000 + +Matrix of rank correlation coefficients: +Upper triangle -- Spearman's +Lower triangle -- Kendall's tau + + 1 2 3 + 1 1.0000 0.2941 0.4058 + 2 0.1429 1.0000 0.7537 + 3 0.2760 0.5521 1.0000 + +Number of cases actually used: 6 diff --git a/simple_examples/baseresults/g02daje.r b/simple_examples/baseresults/g02daje.r new file mode 100644 index 0000000..9c6e2f0 --- /dev/null +++ b/simple_examples/baseresults/g02daje.r @@ -0,0 +1,31 @@ +G02DAJ Example Program Results + +Model not of full rank, rank = 4 +Residual sum of squares = 2.2227e+01 +Degrees of freedom = 8 +R-squared = 7.0042e-01 +Adjusted R-squared = 5.8808e-01 +AIC = 1.5397e+01 + +Variable Parameter estimate Standard error + + 1 3.0557e+01 3.8494e-01 + 2 5.4467e+00 8.3896e-01 + 3 6.7433e+00 8.3896e-01 + 4 1.1047e+01 8.3896e-01 + 5 7.3200e+00 8.3896e-01 + + Obs Residuals H + + 1 -2.3733e+00 3.3333e-01 + 2 1.7433e+00 3.3333e-01 + 3 8.8000e-01 3.3333e-01 + 4 -1.4333e-01 3.3333e-01 + 5 1.4333e-01 3.3333e-01 + 6 -1.4700e+00 3.3333e-01 + 7 -1.8867e+00 3.3333e-01 + 8 5.7667e-01 3.3333e-01 + 9 1.3167e+00 3.3333e-01 + 10 1.7967e+00 3.3333e-01 + 11 -1.1733e+00 3.3333e-01 + 12 5.9000e-01 3.3333e-01 diff --git a/simple_examples/baseresults/g02eeje.r b/simple_examples/baseresults/g02eeje.r new file mode 100644 index 0000000..c66f9b6 --- /dev/null +++ b/simple_examples/baseresults/g02eeje.r @@ -0,0 +1,20 @@ + G02EEJ Example Program Results + + Step 1 + Added variable is TS + Change in residual sum of squares = 4.7126E-01 + F Statistic = 7.38 + + Variables in model: COD TS + + Residual sum of squares = 1.0850E+00 + Degrees of freedom = 17 + + Free variables: TKN BOD TVS + Change in residual sums of squares for free variables: + 0.1175 0.0600 0.2276 + Step 2 + No further variables added maximum F = 1.59 + Free variables: TKN BOD TVS + Change in residual sums of squares for free variables: + 0.0979 0.0207 0.0217 diff --git a/simple_examples/baseresults/g02maje.r b/simple_examples/baseresults/g02maje.r new file mode 100644 index 0000000..dd042fa --- /dev/null +++ b/simple_examples/baseresults/g02maje.r @@ -0,0 +1,23 @@ +G02MAJ Example Program Results + + Step Parameter Estimate +------------------------------------------------------ + 1 0.000 0.000 3.125 0.000 0.000 0.000 + 2 0.000 0.000 3.792 0.000 0.000 -0.713 + 3 -0.446 0.000 3.998 0.000 0.000 -1.151 + 4 -0.628 -0.295 4.098 0.000 0.000 -1.466 + 5 -1.060 -1.056 4.110 -0.864 0.000 -1.948 + 6 -1.073 -1.132 4.118 -0.935 -0.059 -1.981 + +alpha: -50.037 + + Step Sum RSS df Cp Ck Step Size +--------------------------------------------------------- + 1 72.446 8929.855 3 13.355 123.227 72.446 + 2 103.385 6404.701 7 7.054 50.781 24.841 + 3 126.243 5258.247 51 5.286 30.836 16.225 + 4 145.277 4657.051 25 5.309 19.319 11.587 + 5 198.223 3959.401 126 5.016 12.266 24.520 + 6 203.529 3954.571 5258 7.000 0.910 2.198 + +sigma^2: 304.198 diff --git a/simple_examples/baseresults/g03gaje.r b/simple_examples/baseresults/g03gaje.r new file mode 100644 index 0000000..37ab236 --- /dev/null +++ b/simple_examples/baseresults/g03gaje.r @@ -0,0 +1,79 @@ + G03GAJ Example Program Results + + + Mixing proportions + 1 2 + 1 0.4798 0.5202 + + Group means + 1 2 + 1 4.0041 3.3350 + 2 3.9949 3.4434 + 3 5.5894 4.9870 + 4 5.4432 5.3602 + + Pooled Variance-covariance matrix + 1 2 3 4 + 1 0.4539 0.2891 0.6075 0.3413 + 2 0.2891 0.2048 0.4101 0.2490 + 3 0.6075 0.4101 1.0648 0.6011 + 4 0.3413 0.2490 0.6011 0.3759 + + Densities + 1 2 + 1 2.5836E-01 1.1853E-02 + 2 3.7065E-07 1.1241E-01 + 3 5.3069E-03 1.8080E-06 + 4 4.2461E-01 2.8584E-05 + 5 5.0387E-02 1.1544E+00 + 6 1.1260E+00 7.2224E-02 + 7 2.0911E+00 2.1224E-02 + 8 5.7856E-03 1.3227E+00 + 9 1.1609E+00 2.9411E-02 + 10 8.9826E-02 2.4260E-05 + 11 3.0170E-01 1.0106E+00 + 12 1.2930E+00 3.5422E-01 + 13 2.8644E-02 6.7851E-07 + 14 2.0759E-02 3.1690E+00 + 15 7.6461E-02 1.5231E+00 + 16 3.0279E-04 8.4017E-01 + 17 5.6101E-01 4.6699E-05 + 18 2.6573E-05 6.4442E-01 + 19 2.1250E+00 5.1006E-02 + 20 8.6822E-04 2.7626E+00 + 21 1.9223E-01 2.3971E+00 + 22 1.2469E-02 2.8179E+00 + 23 1.8389E-02 5.3572E-01 + 24 1.2409E+00 9.6489E-03 + 25 2.1037E-05 4.8674E-02 + + Membership probabilities + 1 2 + 1 9.5018E-01 4.9823E-02 + 2 3.3259E-06 1.0000E+00 + 3 9.9961E-01 3.8664E-04 + 4 9.9992E-01 7.9913E-05 + 5 3.8999E-02 9.6100E-01 + 6 9.3270E-01 6.7295E-02 + 7 9.8881E-01 1.1190E-02 + 8 4.1252E-03 9.9587E-01 + 9 9.7252E-01 2.7479E-02 + 10 9.9969E-01 3.0805E-04 + 11 2.1722E-01 7.8278E-01 + 12 7.6938E-01 2.3062E-01 + 13 9.9997E-01 2.6937E-05 + 14 6.1133E-03 9.9389E-01 + 15 4.4189E-02 9.5581E-01 + 16 3.5006E-04 9.9965E-01 + 17 9.9990E-01 9.7029E-05 + 18 4.0270E-05 9.9996E-01 + 19 9.7380E-01 2.6202E-02 + 20 3.0204E-04 9.9970E-01 + 21 6.9471E-02 9.3053E-01 + 22 4.1603E-03 9.9584E-01 + 23 3.0839E-02 9.6916E-01 + 24 9.9116E-01 8.8421E-03 + 25 4.1534E-04 9.9958E-01 + +No. iterations: 14 +Log-likelihood: -29.6831 diff --git a/simple_examples/baseresults/g05kfje.r b/simple_examples/baseresults/g05kfje.r new file mode 100644 index 0000000..830c10a --- /dev/null +++ b/simple_examples/baseresults/g05kfje.r @@ -0,0 +1,7 @@ +G05KFJ Example Program Results + +0.6364 +0.1065 +0.7460 +0.7983 +0.1046 \ No newline at end of file diff --git a/simple_examples/baseresults/g13awje.r b/simple_examples/baseresults/g13awje.r new file mode 100644 index 0000000..25be8b6 --- /dev/null +++ b/simple_examples/baseresults/g13awje.r @@ -0,0 +1,4 @@ + G13AWJ Example Program Results + +Dickey-Fuller test statistic = -2.540 +associated p-value = 0.013 diff --git a/simple_examples/baseresults/g13meje.r b/simple_examples/baseresults/g13meje.r new file mode 100644 index 0000000..07a391e --- /dev/null +++ b/simple_examples/baseresults/g13meje.r @@ -0,0 +1,39 @@ +G13MEJ Example Program Results + + Iterated + Time EMA + +-------------------------------- + 1 7.5 0.531 + 2 8.2 0.544 + 3 18.1 0.754 + 4 22.8 0.406 + 5 25.8 0.232 + + 6 26.8 0.217 + 7 31.1 0.357 + 8 38.4 0.630 + 9 45.9 0.263 + 10 48.2 0.241 + 11 48.9 0.279 + 12 57.9 0.713 + 13 58.5 0.717 + 14 63.9 0.385 + 15 65.2 0.346 + + 16 66.6 0.330 + 17 67.4 0.315 + 18 69.3 0.409 + 19 69.9 0.459 + 20 73.0 0.377 + 21 75.6 0.411 + 22 77.0 0.536 + 23 84.7 0.632 + 24 86.8 0.538 + 25 88.0 0.444 + 26 88.5 0.401 + 27 91.0 0.331 + 28 93.0 0.495 + 29 93.7 0.585 + 30 94.0 0.612 + diff --git a/simple_examples/baseresults/g13naje.r b/simple_examples/baseresults/g13naje.r new file mode 100644 index 0000000..b87dda8 --- /dev/null +++ b/simple_examples/baseresults/g13naje.r @@ -0,0 +1,11 @@ +G13NAJ Example Program Results + + -- Charge Points -- --- Distribution --- + Number Position Parameters +================================================= + 1 12 0.34 1.00 + 2 32 2.57 1.00 + 3 49 1.45 1.00 + 4 52 -0.48 1.00 + 5 70 1.20 1.00 + 6 100 -0.23 1.00 diff --git a/simple_examples/baseresults/h02bbje.r b/simple_examples/baseresults/h02bbje.r new file mode 100644 index 0000000..64136ef --- /dev/null +++ b/simple_examples/baseresults/h02bbje.r @@ -0,0 +1,79 @@ +H02BBJ Example Program Results + + + *** IP solver + + Parameters + ---------- + + Linear constraints...... 3 First integer solution.. OFF + Variables............... 2 Max depth of the tree... 4 + + Feasibility tolerance... 1.05E-08 Print level............. 10 + Infinite bound size..... 1.00E+20 EPS (machine precision). 1.11E-16 + + Integer feasibility tol. 1.00E-05 Iteration limit......... 50 + Max number of nodes..... NONE + + ** Workspace provided with MAXDPT = 4: LRWORK = 84 LIWORK = 137 + ** Workspace required with MAXDPT = 4: LRWORK = 84 LIWORK = 137 + + + *** Optimum LP solution *** -17.50000 + + + Varbl State Value Lower Bound Upper Bound Lagr Mult Residual + + V 1 FR 3.92857 0.00000 None 0.000 3.929 + V 2 FR 1.42857 0.00000 None 0.000 1.429 + + + L Con State Value Lower Bound Upper Bound Lagr Mult Residual + + L 1 UL 15.0000 None 15.0000 -1.000 0.000 + L 2 UL 5.00000 None 5.00000 -0.5000 -8.8818E-16 + L 3 FR 14.6429 5.00000 None 0.000 9.643 + + + *** Start of tree search *** + + + Node Parent Obj Varbl Value Lower Upper Value Depth + No Node Value Chosen Before Bound Bound After + 2 1 No Feas Soln 1 3.93 4.00 None 4.00 1 + 3 1 -16.2 1 3.93 0.00 3.00 3.00 1 + 4 3 -15.5 2 1.80 2.00 None 2.00 2 + 5 3 -13.0 2 1.80 0.00 1.00 1.00 2 + *** Integer solution *** + + + Node Parent Obj Varbl Value Lower Upper Value Depth + No Node Value Chosen Before Bound Bound After + 6 4 No Feas Soln 1 2.50 3.00 3.00 3.00 3 + 7 4 -14.8 1 2.50 0.00 2.00 2.00 3 + 8 7 -12.0 CO 2 2.20 3.00 None 3.00 4 + 9 7 -14.0 2 2.20 2.00 2.00 2.00 4 + *** Integer solution *** + + *** End of tree search *** + + + Total of 9 nodes investigated. + + Exit IP solver - Optimum IP solution found. + + Final IP objective value = -14.00000 + + + + Varbl State Value Lower Bound Upper Bound Lagr Mult Residual + + V 1 UL 2.00000 0.00000 2.00000 -3.000 0.000 + V 2 EQ 2.00000 2.00000 2.00000 -4.000 0.000 + + + L Con State Value Lower Bound Upper Bound Lagr Mult Residual + + L 1 FR 14.0000 None 15.0000 0.000 1.000 + L 2 FR 0.00000 None 5.00000 0.000 5.000 + L 3 FR 10.0000 5.00000 None 0.000 5.000 diff --git a/simple_examples/baseresults/h02daje.r b/simple_examples/baseresults/h02daje.r new file mode 100644 index 0000000..125c5bf --- /dev/null +++ b/simple_examples/baseresults/h02daje.r @@ -0,0 +1,14 @@ +H02DAJ Example Program Results + + Final Esimate: + 1 + 1 0.3750 + 2 0.0000 + 3 0.5250 + 4 0.1000 + 5 1.0000 + 6 0.0000 + 7 1.0000 + 8 1.0000 +Requested accuracy of QP subproblems 1.0000e-10 +Optimised value: 2.925 diff --git a/simple_examples/baseresults/m01ccje.r b/simple_examples/baseresults/m01ccje.r new file mode 100644 index 0000000..33e1712 --- /dev/null +++ b/simple_examples/baseresults/m01ccje.r @@ -0,0 +1,15 @@ + M01CCJ Example Program Results + + Records sorted on columns 7 to 12 + + C05AZF 2181 + C05AUF 1351 + C02AEF 599 + A02ACF 531 + A02ABF 523 + A02AAF 289 + C05AVF 240 + C05AXF 211 + C05AYF 183 + C02ADF 169 + C05AWF 136 diff --git a/simple_examples/baseresults/nagcomplexexample.r b/simple_examples/baseresults/nagcomplexexample.r new file mode 100644 index 0000000..2040ba1 --- /dev/null +++ b/simple_examples/baseresults/nagcomplexexample.r @@ -0,0 +1,60 @@ +Please read the source of NAGComplexExample.java for a better understanding of how to use NAGComplex + +*****BASICS***** + +Constructing z1 and z2; +z1 = (0.0, 0.0) +z2 = (2.0, 3.0) + +Changing z1 values using NAGComplex.setRe() and NAGComplex.setIm(); +z1 = (3.0, 4.0) + +Copying z2 to z3 using NAGComplex.clone(); +z3 = (2.0, 3.0) +Copying z1 to z4 using static method NAGComplex.clone(NAGComplex z) +z4 = (3.0, 4.0) + +Array created using NAGComplex.createArray(5); +(0.0, 0.0) (0.0, 0.0) (0.0, 0.0) (0.0, 0.0) (0.0, 0.0) + +The same array updated using NAGComplex[i].setRe() and NAGComplex[i].setIm(); +(1.0, 9.0) (2.0, 8.0) (3.0, 7.0) (4.0, 6.0) (5.0, 5.0) + +*****ARITHMETIC***** + +z1 = (3.0, 4.0) +z2 = (2.0, 3.0) +z3 = (6.0, -2.0) +z4 = (4.0, -5.0) + +z1 + z2 = (5.0, 7.0) +z3 + z4 = (10.0, -7.0) + +z1 - z2 = (1.0, 1.0) +z3 - z4 = (2.0, 3.0) + +z1 * z2 = (-6.0, 17.0) +z3 * z4 = (14.0, -38.0) + +z1 / z2 = (1.3846153846153846, -0.07692307692307696) +z3 / z4 = (0.829268292682927, 0.5365853658536587) + +-(z1) = (-3.0, -4.0) +-(z2) = (-2.0, -3.0) + +conjugate(z1) = (3.0, -4.0) +conjugate(z2) = (2.0, -3.0) + +z3 == z4? - false +z4 = (6.0, -2.0) +z3 == z4? - true +|z1| = 5.0 +|z2| = 3.6055512754639896 + +arg(z1) = 0.9272952180016122 +arg(z2) = 0.982793723247329 + +z5 = (-5.0, 12.0) +z6 = (-9.0, 40.0) +Sqrt(z5) = (2.0, 3.0) +Sqrt(z6) = (4.0, 5.0) \ No newline at end of file diff --git a/simple_examples/baseresults/outputexample.r b/simple_examples/baseresults/outputexample.r new file mode 100644 index 0000000..76fc07e --- /dev/null +++ b/simple_examples/baseresults/outputexample.r @@ -0,0 +1,10 @@ + *** Start of NAG Library implementation details *** + + Implementation title: Linux, 64-bit, Intel C/C++ or Intel Fortran + Precision: double precision + Product Code: NLL6I27DBL + Mark: 27.2.0 (self-contained) + + This is a 64-bit library using 32-bit integers. + + *** End of NAG Library implementation details *** diff --git a/simple_examples/baseresults/s01baje.r b/simple_examples/baseresults/s01baje.r new file mode 100644 index 0000000..b3b20dd --- /dev/null +++ b/simple_examples/baseresults/s01baje.r @@ -0,0 +1,9 @@ +S01BAJ Example Program Results + + X Y + 2.5000e+00 1.2528e+00 + 1.2500e-01 1.1778e-01 + -9.0600e-01 -2.3645e+00 + 1.2900e-03 1.2892e-03 + -7.8300e-06 -7.8300e-06 + 1.0000e-09 1.0000e-09 diff --git a/simple_examples/baseresults/s10aaje.r b/simple_examples/baseresults/s10aaje.r new file mode 100644 index 0000000..eac481e --- /dev/null +++ b/simple_examples/baseresults/s10aaje.r @@ -0,0 +1,7 @@ +S10AAJ Example Program Results + + X Y + -2.000e+01 -1.000e+00 + -5.000e+00 -9.999e-01 + 5.000e-01 4.621e-01 + 5.000e+00 9.999e-01 diff --git a/simple_examples/baseresults/s10abje.r b/simple_examples/baseresults/s10abje.r new file mode 100644 index 0000000..54e3b1c --- /dev/null +++ b/simple_examples/baseresults/s10abje.r @@ -0,0 +1,8 @@ +S10ABJ Example Program Results + + X Y + -1.000e+01 -1.101e+04 + -5.000e-01 -5.211e-01 + 0.000e+00 0.000e+00 + 5.000e-01 5.211e-01 + 2.500e+01 3.600e+10 diff --git a/simple_examples/baseresults/s10acje.r b/simple_examples/baseresults/s10acje.r new file mode 100644 index 0000000..e71c76b --- /dev/null +++ b/simple_examples/baseresults/s10acje.r @@ -0,0 +1,8 @@ +S10ACJ Example Program Results + + X Y + -1.000e+01 1.101e+04 + -5.000e-01 1.128e+00 + 0.000e+00 1.000e+00 + 5.000e-01 1.128e+00 + 2.500e+01 3.600e+10 diff --git a/simple_examples/baseresults/s14abje.r b/simple_examples/baseresults/s14abje.r new file mode 100644 index 0000000..86c60ea --- /dev/null +++ b/simple_examples/baseresults/s14abje.r @@ -0,0 +1,12 @@ +S14ABJ Example Program Results + + X Y + 1.000e+00 0.000e+00 + 1.250e+00 -9.827e-02 + 1.500e+00 -1.208e-01 + 1.750e+00 -8.440e-02 + 2.000e+00 0.000e+00 + 5.000e+00 3.178e+00 + 1.000e+01 1.280e+01 + 2.000e+01 3.934e+01 + 1.000e+03 5.905e+03 diff --git a/simple_examples/baseresults/s14acje.r b/simple_examples/baseresults/s14acje.r new file mode 100644 index 0000000..cda0185 --- /dev/null +++ b/simple_examples/baseresults/s14acje.r @@ -0,0 +1,8 @@ +S14ACJ Example Program Results + + X psi(X)-log(X) + + 0.1000 -8.1212 + 0.5000 -1.2704 + 3.6000 -0.1453 + 8.0000 -0.0638 diff --git a/simple_examples/baseresults/s14afje.r b/simple_examples/baseresults/s14afje.r new file mode 100644 index 0000000..68a5fd5 --- /dev/null +++ b/simple_examples/baseresults/s14afje.r @@ -0,0 +1,5 @@ +S14AFJ Example Program Results + + Z K (d^K/dz^K)psi(Z) + + (-1.5, 2.5) 1 (-1.9737e-01, -2.4271e-01) diff --git a/simple_examples/baseresults/s17dcje.r b/simple_examples/baseresults/s17dcje.r new file mode 100644 index 0000000..845aae3 --- /dev/null +++ b/simple_examples/baseresults/s17dcje.r @@ -0,0 +1,10 @@ +S17DCF Example Program Results + +Calling with N = 2 + +FNU Z SCAL CY[0] CY[1] NZ +0.0000 (0.3000, 0.4000) U (-0.4983, 0.6700) (-1.0149, 0.9485) 0 +2.3000 (2.0000, 0.0000) U (-0.7398, 0.0000) (-1.4120, 0.0000) 0 +2.1200 (-1.0000, 0.0000) U (-1.7279, 0.8602) (6.5331, -2.6154) 0 +1.5800 (-2.3000, 5.6000) U (36.4755, -1.5521) (-2.6788, 25.9112) 0 +1.5800 (-2.3000, 5.6000) S (0.1349, -0.0057) (-0.0099, 0.0958) 0 diff --git a/simple_examples/baseresults/s17dgje.r b/simple_examples/baseresults/s17dgje.r new file mode 100644 index 0000000..c26ff48 --- /dev/null +++ b/simple_examples/baseresults/s17dgje.r @@ -0,0 +1,9 @@ + S17DGJ Example Program Results + + DERIV Z SCAL AI NZ + + F ( 0.3000, 0.4000) U ( 0.2716, -0.1002) 0 + F ( 0.2000, 0.0000) U ( 0.3037, 0.0000) 0 + F ( 1.1000, -6.6000) U (-43.6632,-47.9030) 0 + F ( 1.1000, -6.6000) S ( 0.1655, 0.0597) 0 + D ( -1.0000, 0.0000) U ( -0.0102, 0.0000) 0 diff --git a/simple_examples/baseresults/s30aaje.r b/simple_examples/baseresults/s30aaje.r new file mode 100644 index 0000000..32fc477 --- /dev/null +++ b/simple_examples/baseresults/s30aaje.r @@ -0,0 +1,16 @@ +S30AAJ Example Program Results + +Black-Scholes-Merton formula +European Call : + Spot = 55.0000 + Volatility = 0.3000 + Rate = 0.1000 + Dividend = 0.0000 + + Strike Expiry Option Price + 58.0000 0.7000 5.9198 + 58.0000 0.8000 6.5506 + 60.0000 0.7000 5.0809 + 60.0000 0.8000 5.6992 + 62.0000 0.7000 4.3389 + 62.0000 0.8000 4.9379 diff --git a/simple_examples/baseresults/s30acje.r b/simple_examples/baseresults/s30acje.r new file mode 100644 index 0000000..134730e --- /dev/null +++ b/simple_examples/baseresults/s30acje.r @@ -0,0 +1,9 @@ + S30ACJ Example Program Results + + SIGMA IVALID + + 7.834E-01 0 + 7.386E-01 0 + 4.096E-01 0 + 4.085E-01 0 + 4.179E-01 0 diff --git a/simple_examples/baseresults/simpleroutineexample.r b/simple_examples/baseresults/simpleroutineexample.r new file mode 100644 index 0000000..e1f6a4e --- /dev/null +++ b/simple_examples/baseresults/simpleroutineexample.r @@ -0,0 +1,15 @@ + C05AZ Example Program results: + + Iterations + + X = 0.00000 FX= 1.0000e+00 IND = 2 + X = 1.00000 FX= -6.3212e-01 IND = 3 + X = 0.61270 FX= -7.0814e-02 IND = 4 + X = 0.56707 FX= 1.1542e-04 IND = 4 + X = 0.56714 FX= -9.4481e-07 IND = 4 + X = 0.56713 FX= 1.4727e-05 IND = 4 + X = 0.56714 FX= -9.4481e-07 IND = 4 + + Solution + + X = 0.56714 Y = 0.56713 diff --git a/simple_examples/baseresults/userdefinedfunctionexample1.r b/simple_examples/baseresults/userdefinedfunctionexample1.r new file mode 100644 index 0000000..c2fd510 --- /dev/null +++ b/simple_examples/baseresults/userdefinedfunctionexample1.r @@ -0,0 +1 @@ +The result is -0.03183098861837909 diff --git a/simple_examples/baseresults/userdefinedfunctionexample2.r b/simple_examples/baseresults/userdefinedfunctionexample2.r new file mode 100644 index 0000000..c2fd510 --- /dev/null +++ b/simple_examples/baseresults/userdefinedfunctionexample2.r @@ -0,0 +1 @@ +The result is -0.03183098861837909 diff --git a/simple_examples/baseresults/x03aaje.r b/simple_examples/baseresults/x03aaje.r new file mode 100644 index 0000000..d2b7138 --- /dev/null +++ b/simple_examples/baseresults/x03aaje.r @@ -0,0 +1,3 @@ +X03AAF Example Program Results + +D1 = -5.0 D2 = 0.0 \ No newline at end of file diff --git a/simple_examples/baseresults/x04cbje.r b/simple_examples/baseresults/x04cbje.r new file mode 100644 index 0000000..6b842ef --- /dev/null +++ b/simple_examples/baseresults/x04cbje.r @@ -0,0 +1,21 @@ +X04CBJ Example Program Results + + Example 1 + 1 2 3 4 5 + 1 11.0000 12.0000 13.0000 14.0000 15.0000 + 2 21.0000 22.0000 23.0000 24.0000 25.0000 + 3 31.0000 32.0000 33.0000 34.0000 35.0000 + + Example 2: + Un Deux Trois Quatre Cinq + Uno 11.00 12.00 13.00 14.00 15.00 + Due 22.00 23.00 24.00 25.00 + Tre 33.00 34.00 35.00 + Quattro 44.00 45.00 + Cinque 55.00 + + A = [ + 11.00 0.00 0.00 0.00 0.00; + 21.00 22.00 0.00 0.00 0.00; + 31.00 32.00 33.00 0.00 0.00; + ]; diff --git a/simple_examples/baseresults/x05abje.r b/simple_examples/baseresults/x05abje.r new file mode 100644 index 0000000..f94235c --- /dev/null +++ b/simple_examples/baseresults/x05abje.r @@ -0,0 +1,2 @@ + X05ABJ Example Program Results +Tue 14th Jul 1789 13:11:48.320 diff --git a/simple_examples/data/c02abje.d b/simple_examples/data/c02abje.d new file mode 100644 index 0000000..3f2dfd1 --- /dev/null +++ b/simple_examples/data/c02abje.d @@ -0,0 +1,14 @@ +C02ABJ Example Program Data + +Example 1: Basic Problem + 6 : Degree, n + 3.5 : Coefficients, a + 1.0 + -7.0 + 12.5 + 2.5 + -17.0 + 32.5 + +Example 2: Polishing Processes + 10 : Degree, n diff --git a/simple_examples/data/c02afje.d b/simple_examples/data/c02afje.d new file mode 100644 index 0000000..0e31bab --- /dev/null +++ b/simple_examples/data/c02afje.d @@ -0,0 +1,19 @@ +C02AFJ Example Program Data + +Example 1 + 5 + 5.0 6.0 + 30.0 20.0 + -0.2 -6.0 + 50.0 100000.0 + -2.0 40.0 + 10.0 1.0 + +Example 2 + 5 + 5.0 6.0 + 30.0 20.0 + -0.2 -6.0 + 50.0 100000.0 + -2.0 40.0 + 10.0 1.0 diff --git a/simple_examples/data/c02agje.d b/simple_examples/data/c02agje.d new file mode 100644 index 0000000..ada6a96 --- /dev/null +++ b/simple_examples/data/c02agje.d @@ -0,0 +1,9 @@ +C02AGJ Example Program Data + +Example 1 + 5 + 1.0 2.0 3.0 4.0 5.0 6.0 + +Example 2 + 5 + 1.0 2.0 3.0 4.0 5.0 6.0 diff --git a/simple_examples/data/c02ahje.d b/simple_examples/data/c02ahje.d new file mode 100644 index 0000000..0e1a9ea --- /dev/null +++ b/simple_examples/data/c02ahje.d @@ -0,0 +1,2 @@ +C02AHJ Example Program Data + 1.0 0.0 -3.0 1.0 8.0 1.0 :AR AI BR BI CR CI diff --git a/simple_examples/data/c02ajje.d b/simple_examples/data/c02ajje.d new file mode 100644 index 0000000..c24b295 --- /dev/null +++ b/simple_examples/data/c02ajje.d @@ -0,0 +1,2 @@ +C02AJJ Example Program Data + 1.0 3.0 -10.0 :A B C diff --git a/simple_examples/data/c02akje.d b/simple_examples/data/c02akje.d new file mode 100644 index 0000000..0b71c64 --- /dev/null +++ b/simple_examples/data/c02akje.d @@ -0,0 +1,2 @@ +C02AKJ Example Program Data + 1.0 3.0 9.0 -13.0 : Values of U, R, S and T diff --git a/simple_examples/data/c02alje.d b/simple_examples/data/c02alje.d new file mode 100644 index 0000000..a519a24 --- /dev/null +++ b/simple_examples/data/c02alje.d @@ -0,0 +1,2 @@ +C02ALJ Example Program Data + 1.0 2.0 6.0 -8.0 -40.0 : Values of E, A, B, C and D diff --git a/simple_examples/data/c02amje.d b/simple_examples/data/c02amje.d new file mode 100644 index 0000000..9bff4dc --- /dev/null +++ b/simple_examples/data/c02amje.d @@ -0,0 +1,5 @@ +C02AMJ Example Program Data + ( 1.0, 0.0) + ( -2.0, 3.0) + ( 5.0, 14.0) + (-40.0, -5.0) : Values of U, R, S and T diff --git a/simple_examples/data/c02anje.d b/simple_examples/data/c02anje.d new file mode 100644 index 0000000..c331b10 --- /dev/null +++ b/simple_examples/data/c02anje.d @@ -0,0 +1,6 @@ +C02ANJ Example Program Data + ( 1.0, 0.0) + ( 0.0, 0.0) + ( 0.0, 16.0) + ( -8.0, 8.0) + (-65.0, 0.0) : Values of E, A, B, C and D diff --git a/simple_examples/data/c05bbje.d b/simple_examples/data/c05bbje.d new file mode 100644 index 0000000..6c78ea9 --- /dev/null +++ b/simple_examples/data/c05bbje.d @@ -0,0 +1,7 @@ +C05BBJ Example Program Data +0 : BRANCH +false : OFFSET +0.5 -1.0 +1.0 2.3 +4.5 -0.1 +6.0 6.0 : Z diff --git a/simple_examples/data/c06fkje.d b/simple_examples/data/c06fkje.d new file mode 100644 index 0000000..e042218 --- /dev/null +++ b/simple_examples/data/c06fkje.d @@ -0,0 +1,11 @@ +C06FKJ Example Program Data +9 : n +1.00 0.50 +1.00 0.50 +1.00 0.50 +1.00 0.50 +1.00 0.00 +0.00 0.00 +0.00 0.00 +0.00 0.00 +0.00 0.00 : xa, ya diff --git a/simple_examples/data/c09aaje.d b/simple_examples/data/c09aaje.d new file mode 100644 index 0000000..8313509 --- /dev/null +++ b/simple_examples/data/c09aaje.d @@ -0,0 +1,11 @@ +C09AAF Example Program Data + 8 : n + Haar Zero : wavnam, mode + 2.0 + 5.0 + 8.0 + 9.0 + 7.0 + 4.0 +-1.0 + 1.0 : x(1:n) diff --git a/simple_examples/data/d03pcje.d b/simple_examples/data/d03pcje.d new file mode 100644 index 0000000..9e78e1f --- /dev/null +++ b/simple_examples/data/d03pcje.d @@ -0,0 +1,6 @@ +D03PCJ Example Program Data +6 20 1 : intpts, npts, itype +0.0 0.4 0.6 0.8 0.9 1.0 : xout(1:intpts) +1.0E-3 1.0 : acc, alpha +1 0 : m, itrace +0.0 0.1E-4 : ts, tout diff --git a/simple_examples/data/e02alje.d b/simple_examples/data/e02alje.d new file mode 100644 index 0000000..b1c9d44 --- /dev/null +++ b/simple_examples/data/e02alje.d @@ -0,0 +1,23 @@ +E02ALJ Example Program Data + 21 5 11 : N, M, NEVAL + 0.00 1.0000000000 + 0.05 1.0512710964 + 0.10 1.1051709181 + 0.15 1.1618342427 + 0.20 1.2214027582 + 0.25 1.2840254167 + 0.30 1.3498588076 + 0.35 1.4190675486 + 0.40 1.4918246976 + 0.45 1.5683121855 + 0.50 1.6487212707 + 0.55 1.7332530179 + 0.60 1.8221188004 + 0.65 1.9155408290 + 0.70 2.0137527075 + 0.75 2.1170000166 + 0.80 2.2255409285 + 0.85 2.3396468519 + 0.90 2.4596031112 + 0.95 2.5857096593 + 1.00 2.7182818285 : X, Y diff --git a/simple_examples/data/e04fcje.d b/simple_examples/data/e04fcje.d new file mode 100644 index 0000000..963a616 --- /dev/null +++ b/simple_examples/data/e04fcje.d @@ -0,0 +1,16 @@ +E04FCF Example Program Data + 0.14 1.0 15.0 1.0 + 0.18 2.0 14.0 2.0 + 0.22 3.0 13.0 3.0 + 0.25 4.0 12.0 4.0 + 0.29 5.0 11.0 5.0 + 0.32 6.0 10.0 6.0 + 0.35 7.0 9.0 7.0 + 0.39 8.0 8.0 8.0 + 0.37 9.0 7.0 7.0 + 0.58 10.0 6.0 6.0 + 0.73 11.0 5.0 5.0 + 0.96 12.0 4.0 4.0 + 1.34 13.0 3.0 3.0 + 2.10 14.0 2.0 2.0 + 4.39 15.0 1.0 1.0 diff --git a/simple_examples/data/e04mxje.d b/simple_examples/data/e04mxje.d new file mode 100644 index 0000000..7d45bf8 --- /dev/null +++ b/simple_examples/data/e04mxje.d @@ -0,0 +1,64 @@ +NAME E04MX.EX +ROWS + L ..ROW1.. + L ..ROW2.. + L ..ROW3.. + N ..COST.. +COLUMNS + ...X1... ..ROW1.. 1.0 ..ROW2.. 1.0 + ...X1... ..ROW3.. 1.0 ..COST.. -4.0 + ...X2... ..ROW1.. 1.0 ..ROW2.. 2.0 + ...X2... ..ROW3.. -1.0 ..COST.. -1.0 + ...X3... ..ROW1.. 1.0 ..ROW2.. 3.0 + ...X3... ..ROW3.. 1.0 ..COST.. -1.0 + ...X4... ..ROW1.. 1.0 ..ROW2.. 4.0 + ...X4... ..ROW3.. -1.0 ..COST.. -1.0 + ...X5... ..ROW1.. 1.0 ..ROW2.. -2.0 + ...X5... ..ROW3.. 1.0 ..COST.. -1.0 + ...X6... ..ROW1.. 1.0 ..ROW2.. 1.0 + ...X6... ..ROW3.. 1.0 ..COST.. -1.0 + ...X7... ..ROW1.. 1.0 ..ROW2.. 1.0 + ...X7... ..ROW3.. 1.0 ..COST.. -1.0 + ...X8... ..ROW1.. 1.0 ..ROW2.. 1.0 + ...X8... ..ROW3.. 1.0 ..COST.. -0.1 + ...X9... ..ROW1.. 4.0 ..ROW2.. 1.0 + ...X9... ..ROW3.. 1.0 ..COST.. -0.3 +RHS + RHS1 ..ROW1.. 1.5 + RHS1 ..ROW2.. 1.5 + RHS1 ..ROW3.. 4.0 + RHS1 ..COST.. 1000.0 +RANGES + RANGE1 ..ROW1.. 3.5 + RANGE1 ..ROW2.. 3.5 + RANGE1 ..ROW3.. 6.0 +BOUNDS + LO BOUND ...X1... -2.0 + LO BOUND ...X2... -2.0 + LO BOUND ...X3... -2.0 + LO BOUND ...X4... -2.0 + LO BOUND ...X5... -2.0 + LO BOUND ...X6... -2.0 + LO BOUND ...X7... -2.0 + LO BOUND ...X8... -2.0 + LO BOUND ...X9... -2.0 + UP BOUND ...X1... 2.0 + UP BOUND ...X2... 2.0 + UP BOUND ...X3... 2.0 + UP BOUND ...X4... 2.0 + UP BOUND ...X5... 2.0 + UP BOUND ...X6... 2.0 + UP BOUND ...X7... 2.0 + UP BOUND ...X8... 2.0 + UP BOUND ...X9... 2.0 +QUADOBJ + ...X1... ...X1... 2.00000000E0 ...X2... 1.00000000E0 + ...X1... ...X3... 1.00000000E0 ...X4... 1.00000000E0 + ...X1... ...X5... 1.00000000E0 + ...X2... ...X2... 2.00000000E0 ...X3... 1.00000000E0 + ...X2... ...X4... 1.00000000E0 ...X5... 1.00000000E0 + ...X3... ...X3... 2.00000000E0 ...X4... 1.00000000E0 + ...X3... ...X5... 1.00000000E0 + ...X4... ...X4... 2.00000000E0 ...X5... 1.00000000E0 + ...X5... ...X5... 2.00000000E0 +ENDATA diff --git a/simple_examples/data/e04ncje.d b/simple_examples/data/e04ncje.d new file mode 100644 index 0000000..bdf378b --- /dev/null +++ b/simple_examples/data/e04ncje.d @@ -0,0 +1,21 @@ +E04NCA Example Program Data + 10 9 3 :Values of M, N and NCLIN + 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 + 1.0 2.0 1.0 1.0 1.0 1.0 2.0 0.0 0.0 + 1.0 1.0 3.0 1.0 1.0 1.0 -1.0 -1.0 -3.0 + 1.0 1.0 1.0 4.0 1.0 1.0 1.0 1.0 1.0 + 1.0 1.0 1.0 3.0 1.0 1.0 1.0 1.0 1.0 + 1.0 1.0 2.0 1.0 1.0 0.0 0.0 0.0 -1.0 + 1.0 1.0 1.0 1.0 0.0 1.0 1.0 1.0 1.0 + 1.0 1.0 1.0 0.0 1.0 1.0 1.0 1.0 1.0 + 1.0 1.0 0.0 1.0 1.0 1.0 2.0 2.0 3.0 + 1.0 0.0 1.0 1.0 1.0 1.0 0.0 2.0 2.0 :End of matrix A + 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 :End of B + 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 4.0 + 1.0 2.0 3.0 4.0 -2.0 1.0 1.0 1.0 1.0 + 1.0 -1.0 1.0 -1.0 1.0 1.0 1.0 1.0 1.0 :End of matrix C + 0.0 0.0 -1.0E+25 0.0 0.0 0.0 0.0 0.0 0.0 + 2.0 -1.0E+25 1.0 :End of BL + 2.0 2.0 2.0 2.0 2.0 2.0 2.0 2.0 2.0 + 1.0E+25 2.0 4.0 :End of BU + 1.0 0.5 0.3333 0.25 0.2 0.1667 0.1428 0.125 0.1111 :End of X diff --git a/simple_examples/data/e04nfje.d b/simple_examples/data/e04nfje.d new file mode 100644 index 0000000..f2c6165 --- /dev/null +++ b/simple_examples/data/e04nfje.d @@ -0,0 +1,22 @@ +E04NFA Example Program Data + 7 7 :Values of N and NCLIN + -0.02 -0.20 -0.20 -0.20 -0.20 0.04 0.04 :End of CVEC + 1.00 1.00 1.00 1.00 1.00 1.00 1.00 + 0.15 0.04 0.02 0.04 0.02 0.01 0.03 + 0.03 0.05 0.08 0.02 0.06 0.01 0.00 + 0.02 0.04 0.01 0.02 0.02 0.00 0.00 + 0.02 0.03 0.00 0.00 0.01 0.00 0.00 + 0.70 0.75 0.80 0.75 0.80 0.97 0.00 + 0.02 0.06 0.08 0.12 0.02 0.01 0.97 :End of matrix A + -0.01 -0.10 -0.01 -0.04 -0.10 -0.01 -0.01 + -0.13 -1.0E+25 -1.0E+25 -1.0E+25 -1.0E+25 -9.92E-02 -3.0E-03 :End of BL + 0.01 0.15 0.03 0.02 0.05 1.0E+25 1.0E+25 + -0.13 -4.9E-03 -6.4E-03 -3.7E-03 -1.2E-03 1.0E+25 2.0E-03 :End of BU + -0.01 -0.03 0.00 -0.01 -0.10 0.02 0.01 :End of X + 2.00 0.00 0.00 0.00 0.00 0.00 0.00 + 0.00 2.00 0.00 0.00 0.00 0.00 0.00 + 0.00 0.00 2.00 2.00 0.00 0.00 0.00 + 0.00 0.00 2.00 2.00 0.00 0.00 0.00 + 0.00 0.00 0.00 0.00 2.00 0.00 0.00 + 0.00 0.00 0.00 0.00 0.00 -2.00 -2.00 + 0.00 0.00 0.00 0.00 0.00 -2.00 -2.00 :End of matrix H diff --git a/simple_examples/data/e04nqje.d b/simple_examples/data/e04nqje.d new file mode 100644 index 0000000..a1c9039 --- /dev/null +++ b/simple_examples/data/e04nqje.d @@ -0,0 +1,67 @@ +E04NQF Example Program Data + 7 8 : Values of N and M +48 8 7 'C' 15 : Values of NNZ, IOBJ, NCOLH, START and NNAME + +'...X1...' '...X2...' '...X3...' '...X4...' '...X5...' +'...X6...' '...X7...' '..ROW1..' '..ROW2..' '..ROW3..' +'..ROW4..' '..ROW5..' '..ROW6..' '..ROW7..' '..COST..' : End of array NAMES + + 0.02 7 1 : Sparse matrix A, ordered by increasing column index; + 0.02 5 1 : each row contains ACOL(i), INDA(i), ICOL (= column index) + 0.03 3 1 : The row indices may be in any order. In this example + 1.00 1 1 : row 8 defines the linear objective term transpose(C)*X. + 0.70 6 1 + 0.02 4 1 + 0.15 2 1 + -200.00 8 1 + 0.06 7 2 + 0.75 6 2 + 0.03 5 2 + 0.04 4 2 + 0.05 3 2 + 0.04 2 2 + 1.00 1 2 +-2000.00 8 2 + 0.02 2 3 + 1.00 1 3 + 0.01 4 3 + 0.08 3 3 + 0.08 7 3 + 0.80 6 3 +-2000.00 8 3 + 1.00 1 4 + 0.12 7 4 + 0.02 3 4 + 0.02 4 4 + 0.75 6 4 + 0.04 2 4 +-2000.00 8 4 + 0.01 5 5 + 0.80 6 5 + 0.02 7 5 + 1.00 1 5 + 0.02 2 5 + 0.06 3 5 + 0.02 4 5 +-2000.00 8 5 + 1.00 1 6 + 0.01 2 6 + 0.01 3 6 + 0.97 6 6 + 0.01 7 6 + 400.00 8 6 + 0.97 7 7 + 0.03 2 7 + 1.00 1 7 + 400.00 8 7 : End of matrix A + + 0.0 0.0 4.0E+02 1.0E+02 0.0 0.0 + 0.0 2.0E+03 -1.0E+25 -1.0E+25 -1.0E+25 -1.0E+25 + 1.5E+03 2.5E+02 -1.0E+25 : End of lower bounds array BL + + 2.0E+02 2.5E+03 8.0E+02 7.0E+02 1.5E+03 1.0E+25 + 1.0E+25 2.0E+03 6.0E+01 1.0E+02 4.0E+01 3.0E+01 + 1.0E+25 3.0E+02 1.0E+25 : End of upper bounds array BU + + 0 0 0 0 0 0 0 : Initial array HS + 0.0 0.0 0.0 0.0 0.0 0.0 0.0 : Initial vector X diff --git a/simple_examples/data/e04rsje.d b/simple_examples/data/e04rsje.d new file mode 100644 index 0000000..9540ce2 --- /dev/null +++ b/simple_examples/data/e04rsje.d @@ -0,0 +1,13 @@ +E04RSJ Example Program Data + 3 6 6 : n, nnzq1, nnzq2 + 1 1 1 2 2 3 : irowq0 + 1 2 3 2 3 3 : icolq0 + 0.493 0.382 0.270 0.475 0.448 0.515 : q0 + 1 1 1 2 2 3 : irowq1 + 1 2 3 2 3 3 : icolq1 + 0.737 0.453 1.002 0.316 0.635 1.590 : q1 + 1 2 3 : idxr0 + 0.847 0.08 0.505 : r0 + 1 2 3 : idxr1 + 0.065 0.428 0.097 : r1 + 1.276 : s diff --git a/simple_examples/data/e04rtje.d b/simple_examples/data/e04rtje.d new file mode 100644 index 0000000..f6f5896 --- /dev/null +++ b/simple_examples/data/e04rtje.d @@ -0,0 +1,8 @@ +E04RTJ Example Program Data + 3 2 4 : n, m, nnza + 1 1 2 2 : irowa + 1 2 2 3 : icola + 0.493 0.382 0.270 0.475 : a + 0.2 0.4 : b + -1.0 -1.0 -1.0 : xl + 1.0 1.0 1.0 : xu diff --git a/simple_examples/data/e04saje.opt b/simple_examples/data/e04saje.opt new file mode 100644 index 0000000..098dd78 --- /dev/null +++ b/simple_examples/data/e04saje.opt @@ -0,0 +1,30 @@ +NAME E04SAJE +OBJSENSE + MIN +ROWS + N obj + L g1 + G g2 +COLUMNS + x1 obj 10.0 + x1 g1 -0.1 + x1 g2 -0.06 + x2 obj 20.0 + x2 g1 -0.1 + x2 g2 1.0 + x3 obj 1.0 + x3 g1 1.0 + x3 g2 1.0 +RHS + UVEC g1 1.5 + UVEC g2 1.0 +BOUNDS + LO bound x1 -2.0 + UP bound x1 2.0 + LO bound x2 -2.0 + UP bound x2 2.0 +CSECTION k1 0 QUAD + x3 + x1 + x2 +ENDATA diff --git a/simple_examples/data/e04tcje.d b/simple_examples/data/e04tcje.d new file mode 100644 index 0000000..0d7c25f --- /dev/null +++ b/simple_examples/data/e04tcje.d @@ -0,0 +1,22 @@ +E04TCJ Example Program Data +30 : nres +-1.0000000000000000E+00 -9.3103448275862066E-01 -8.6206896551724133E-01 +-7.9310344827586210E-01 -7.2413793103448276E-01 -6.5517241379310343E-01 +-5.8620689655172420E-01 -5.1724137931034486E-01 -4.4827586206896552E-01 +-3.7931034482758619E-01 -3.1034482758620685E-01 -2.4137931034482762E-01 +-1.7241379310344829E-01 -1.0344827586206895E-01 -3.4482758620689724E-02 + 3.4482758620689724E-02 1.0344827586206895E-01 1.7241379310344818E-01 + 2.4137931034482762E-01 3.1034482758620685E-01 3.7931034482758630E-01 + 4.4827586206896552E-01 5.1724137931034475E-01 5.8620689655172420E-01 + 6.5517241379310343E-01 7.2413793103448265E-01 7.9310344827586210E-01 + 8.6206896551724133E-01 9.3103448275862055E-01 1.0000000000000000E+00 : x +-4.7355262950125371E-01 -5.4938194860076961E-01 -3.9825239170869919E-01 +-3.8856020837234490E-01 -5.5342876546898057E-01 -4.9096203345353551E-01 +-5.3572741683518588E-01 -4.7612745760879621E-01 -5.3500371923553647E-01 + 6.0158102095753345E-01 -5.8735647599146978E-01 -4.4672492128166008E-01 +-2.8302528479868733E-01 -3.0311152621895832E-01 -4.1648482978955480E-02 + 3.7631282343379285E-02 1.6504195889737350E-01 5.1964885199180544E-01 + 5.4702301251386876E-01 -4.4537928919142311E-01 5.9042453784268267E-01 + 6.9016702395652996E-01 6.9143394337665087E-01 7.8263998594593021E-01 + 8.1261679746103432E-01 7.5887968830904762E-01 9.5316846217349571E-01 + 1.1014159319048389E+00 1.0675894279571976E+00 1.1538027971634699E+00 : obs diff --git a/simple_examples/data/f03baje.d b/simple_examples/data/f03baje.d new file mode 100644 index 0000000..8c792dc --- /dev/null +++ b/simple_examples/data/f03baje.d @@ -0,0 +1,5 @@ +F03BAF Example Program Data + 3 : N + 33 16 72 + -24 -10 -57 + -8 -4 -17 : A diff --git a/simple_examples/data/f04amje.d b/simple_examples/data/f04amje.d new file mode 100644 index 0000000..dc69386 --- /dev/null +++ b/simple_examples/data/f04amje.d @@ -0,0 +1,5 @@ +F04AMF Example Program Data + 3 2 : m, n + 1.1 0.9 2.2 + 1.2 1.0 2.3 + 1.0 1.0 2.1 : matrices A and B diff --git a/simple_examples/data/f04baje.d b/simple_examples/data/f04baje.d new file mode 100644 index 0000000..b1df19b --- /dev/null +++ b/simple_examples/data/f04baje.d @@ -0,0 +1,13 @@ +F04BAF Example Program Data + + 4 2 : n, nrhs + + 1.80 2.88 2.05 -0.89 + 5.25 -2.95 -0.95 -3.80 + 1.58 -2.69 -2.90 -1.04 + -1.11 -0.66 -0.59 0.80 : matrix A + + 9.52 18.47 + 24.35 2.25 + 0.77 -13.28 + -6.22 -6.21 : matrix B diff --git a/simple_examples/data/f05aaje.d b/simple_examples/data/f05aaje.d new file mode 100644 index 0000000..cafb7ea --- /dev/null +++ b/simple_examples/data/f05aaje.d @@ -0,0 +1,6 @@ +F05AAF Example Program Data + 4 2 4 + 1 -2 3 1 +-2 1 -2 -1 + 3 -2 1 5 + 4 1 5 3 \ No newline at end of file diff --git a/simple_examples/data/f08btje.d b/simple_examples/data/f08btje.d new file mode 100644 index 0000000..bea5bf4 --- /dev/null +++ b/simple_examples/data/f08btje.d @@ -0,0 +1,15 @@ +F08BTF Example Program Data + + 5 4 2 :Values of M, N and NRHS + + ( 0.47,-0.34) (-0.40, 0.54) ( 0.60, 0.01) ( 0.80,-1.02) + (-0.32,-0.23) (-0.05, 0.20) (-0.26,-0.44) (-0.43, 0.17) + ( 0.35,-0.60) (-0.52,-0.34) ( 0.87,-0.11) (-0.34,-0.09) + ( 0.89, 0.71) (-0.45,-0.45) (-0.02,-0.57) ( 1.14,-0.78) + (-0.19, 0.06) ( 0.11,-0.85) ( 1.44, 0.80) ( 0.07, 1.14) :End of matrix A + + (-1.08,-2.59) ( 2.22, 2.35) + (-2.61,-1.49) ( 1.62,-1.48) + ( 3.13,-3.61) ( 1.65, 3.43) + ( 7.33,-8.01) (-0.98, 3.08) + ( 9.12, 7.63) (-2.84, 2.78) :End of matrix B diff --git a/simple_examples/data/f08xpje.d b/simple_examples/data/f08xpje.d new file mode 100644 index 0000000..39b5c87 --- /dev/null +++ b/simple_examples/data/f08xpje.d @@ -0,0 +1,10 @@ +F08XPJ Example Program Data +4 : Value of N +(-21.10,-22.50) ( 53.50,-50.50) (-34.50,127.50) ( 7.50, 0.50) +( -0.46, -7.78) ( -3.50,-37.50) (-15.50, 58.50) (-10.50, -1.50) +( 4.30, -5.50) ( 39.70,-17.10) (-68.50, 12.50) ( -7.50, -3.50) +( 5.50, 4.40) ( 14.40, 43.30) (-32.50,-46.00) (-19.00,-32.50) : End of A +( 1.00, -5.00) ( 1.60, 1.20) ( -3.00, 0.00) ( 0.00, -1.00) +( 0.80, -0.60) ( 3.00, -5.00) ( -4.00, 3.00) ( -2.40, -3.20) +( 1.00, 0.00) ( 2.40, 1.80) ( -4.00, -5.00) ( 0.00, -3.00) +( 0.00, 1.00) ( -1.80, 2.40) ( 0.00, -4.00) ( 4.00, -5.00) : End of B diff --git a/simple_examples/data/g02bjje.d b/simple_examples/data/g02bjje.d new file mode 100644 index 0000000..eaa8921 --- /dev/null +++ b/simple_examples/data/g02bjje.d @@ -0,0 +1,10 @@ +G02BJF Example Program Data +5 4 3 :: N, M, NVARS + 3.0 3.0 1.0 2.0 + 6.0 4.0 -1.0 4.0 + 9.0 0.0 5.0 9.0 +12.0 2.0 0.0 0.0 +-1.0 5.0 4.0 12.0 :: End of X + 1 1 0 1 :: MISS +-1.0 0.0 0.0 0.0 :: XMISS +4 1 2 :: KVAR diff --git a/simple_examples/data/g02daje.d b/simple_examples/data/g02daje.d new file mode 100644 index 0000000..4e844ac --- /dev/null +++ b/simple_examples/data/g02daje.d @@ -0,0 +1,15 @@ +G02DAJ Example Program Data +12 4 'U' 'M' +1.0 0.0 0.0 0.0 33.63 +0.0 0.0 0.0 1.0 39.62 +0.0 1.0 0.0 0.0 38.18 +0.0 0.0 1.0 0.0 41.46 +0.0 0.0 0.0 1.0 38.02 +0.0 1.0 0.0 0.0 35.83 +0.0 0.0 0.0 1.0 35.99 +1.0 0.0 0.0 0.0 36.58 +0.0 0.0 1.0 0.0 42.92 +1.0 0.0 0.0 0.0 37.80 +0.0 0.0 1.0 0.0 40.43 +0.0 1.0 0.0 0.0 37.89 +1 1 1 1 diff --git a/simple_examples/data/g02eeje.d b/simple_examples/data/g02eeje.d new file mode 100644 index 0000000..b0c03a7 --- /dev/null +++ b/simple_examples/data/g02eeje.d @@ -0,0 +1,24 @@ +G02EEF Example Program Data + 20 6 'M' 'U' 2.0 :: N,M,MEAN,WEIGHT,FIN + 0.0 1125.0 232.0 7160.0 85.9 8905.0 1.5563 + 7.0 920.0 268.0 8804.0 86.5 7388.0 0.8976 + 15.0 835.0 271.0 8108.0 85.2 5348.0 0.7482 + 22.0 1000.0 237.0 6370.0 83.8 8056.0 0.7160 + 29.0 1150.0 192.0 6441.0 82.1 6960.0 0.3010 + 37.0 990.0 202.0 5154.0 79.2 5690.0 0.3617 + 44.0 840.0 184.0 5896.0 81.2 6932.0 0.1139 + 58.0 650.0 200.0 5336.0 80.6 5400.0 0.1139 + 65.0 640.0 180.0 5041.0 78.4 3177.0 -0.2218 + 72.0 583.0 165.0 5012.0 79.3 4461.0 -0.1549 + 80.0 570.0 151.0 4825.0 78.7 3901.0 0.0000 + 86.0 570.0 171.0 4391.0 78.0 5002.0 0.0000 + 93.0 510.0 243.0 4320.0 72.3 4665.0 -0.0969 + 100.0 555.0 147.0 3709.0 74.9 4642.0 -0.2218 + 107.0 460.0 286.0 3969.0 74.4 4840.0 -0.3979 + 122.0 275.0 198.0 3558.0 72.5 4479.0 -0.1549 + 129.0 510.0 196.0 4361.0 57.7 4200.0 -0.2218 + 151.0 165.0 210.0 3301.0 71.8 3410.0 -0.3979 + 171.0 244.0 327.0 2964.0 72.5 3360.0 -0.5229 + 220.0 79.0 334.0 2777.0 71.9 2599.0 -0.0458 :: End of X,Y + 0 1 1 1 1 2 :: ISX + 'DAY' 'BOD' 'TKN' 'TS ' 'TVS' 'COD' :: VNAME diff --git a/simple_examples/data/g02maje.d b/simple_examples/data/g02maje.d new file mode 100644 index 0000000..b21e21c --- /dev/null +++ b/simple_examples/data/g02maje.d @@ -0,0 +1,23 @@ +G02MAJ Example Program Data +20 6 :: N,M +1 3 1 6 0 :: MTYPE,PRED,PREY,MNSTEP,LISX +10.28 1.77 9.69 15.58 8.23 10.44 -46.47 +9.08 8.99 11.53 6.57 15.89 12.58 -35.80 +17.98 13.10 1.04 10.45 10.12 16.68 -129.22 +14.82 13.79 12.23 7.00 8.14 7.79 -42.44 +17.53 9.41 6.24 3.75 13.12 17.08 -73.51 +7.78 10.38 9.83 2.58 10.13 4.25 -26.61 +11.95 21.71 8.83 11.00 12.59 10.52 -63.90 +14.60 10.09 -2.70 9.89 14.67 6.49 -76.73 +3.63 9.07 12.59 14.09 9.06 8.19 -32.64 +6.35 9.79 9.40 12.79 8.38 16.79 -83.29 +4.66 3.55 16.82 13.83 21.39 13.88 -16.31 +8.32 14.04 17.17 7.93 7.39 -1.09 -5.82 +10.86 13.68 5.75 10.44 10.36 10.06 -47.75 +4.76 4.92 17.83 2.90 7.58 11.97 18.38 +5.05 10.41 9.89 9.04 7.90 13.12 -54.71 +5.41 9.32 5.27 15.53 5.06 19.84 -55.62 +9.77 2.37 9.54 20.23 9.33 8.82 -45.28 +14.28 4.34 14.23 14.95 18.16 11.03 -22.76 +10.17 6.80 3.17 8.57 16.07 15.93 -104.32 +5.39 2.67 6.37 13.56 10.68 7.35 -55.94 :: End of D, Y diff --git a/simple_examples/data/g03gaje.d b/simple_examples/data/g03gaje.d new file mode 100644 index 0000000..ca1c97f --- /dev/null +++ b/simple_examples/data/g03gaje.d @@ -0,0 +1,56 @@ +G03GAF Example Program Data +25 4 4 : N M IP +2 : NG +2 : SOPT +2 : POPT +15 : NITER +2.7 3.2 4.5 4.8 +3.9 3.8 5.9 6.2 +4.8 4.1 6.8 5.5 +3.1 3.5 4.3 4.6 +3.4 3.7 5.1 5.6 +3.1 3.4 4.1 4.7 +4.6 4.4 6.6 6.1 +3.1 3.3 4.0 4.9 +3.8 3.7 4.7 4.9 +5.2 4.9 8.2 6.9 +3.9 3.8 5.2 5.4 +4.1 4.0 5.6 5.6 +5.7 5.1 7.0 6.3 +3.0 3.2 4.5 5.0 +2.9 3.3 4.5 5.1 +3.4 3.3 4.4 5.0 +4.0 4.2 5.2 5.4 +3.0 3.0 4.6 5.0 +4.0 4.1 5.9 5.8 +3.0 3.2 4.4 5.1 +3.6 3.6 5.3 5.4 +3.1 3.2 4.6 5.0 +3.2 3.3 5.4 5.3 +3.0 3.4 4.2 4.7 +3.8 4.0 6.9 6.7 : X +1.0 0.0 +1.0 0.0 +1.0 0.0 +1.0 0.0 +1.0 0.0 +1.0 0.0 +1.0 0.0 +1.0 0.0 +1.0 0.0 +1.0 0.0 +1.0 0.0 +1.0 0.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 +0.0 1.0 : P diff --git a/simple_examples/data/g05kfje.d b/simple_examples/data/g05kfje.d new file mode 100644 index 0000000..b55cba0 --- /dev/null +++ b/simple_examples/data/g05kfje.d @@ -0,0 +1,3 @@ +G05KFF Example Program Data +1 1 1762543 :: GENID,SUBID,SEED(1) +5 :: N diff --git a/simple_examples/data/g13naje.d b/simple_examples/data/g13naje.d new file mode 100644 index 0000000..4da5b32 --- /dev/null +++ b/simple_examples/data/g13naje.d @@ -0,0 +1,14 @@ +G13NAJ Example Program Data +100 :: N +0.00 0.78 -0.02 0.17 0.04 -1.23 0.24 1.70 0.77 0.06 +0.67 0.94 1.99 2.64 2.26 3.72 3.14 2.28 3.78 0.83 +2.80 1.66 1.93 2.71 2.97 3.04 2.29 3.71 1.69 2.76 +1.96 3.17 1.04 1.50 1.12 1.11 1.00 1.84 1.78 2.39 +1.85 0.62 2.16 0.78 1.70 0.63 1.79 1.21 2.20 -1.34 +0.04 -0.14 2.78 1.83 0.98 0.19 0.57 -1.41 2.05 1.17 +0.44 2.32 0.67 0.73 1.17 -0.34 2.95 1.08 2.16 2.27 +-0.14 -0.24 0.27 1.71 -0.04 -1.03 -0.12 -0.67 1.15 -1.10 +-1.37 0.59 0.44 0.63 -0.06 -0.62 0.39 -2.63 -1.63 -0.42 +-0.73 0.85 0.26 0.48 -0.26 -1.77 -1.53 -1.39 1.68 0.43 :: End of Y +1 1 4.6 2 :: CTYPE,IPARAM,BETA,MINSS +1.0 :: PARAM(1) diff --git a/simple_examples/data/m01ccje.d b/simple_examples/data/m01ccje.d new file mode 100644 index 0000000..3a946ab --- /dev/null +++ b/simple_examples/data/m01ccje.d @@ -0,0 +1,13 @@ +M01CCF Example Program Data +11 +A02AAF 289 +A02ABF 523 +A02ACF 531 +C02ADF 169 +C02AEF 599 +C05AUF 1351 +C05AVF 240 +C05AWF 136 +C05AXF 211 +C05AYF 183 +C05AZF 2181 diff --git a/simple_examples/data/mytemp b/simple_examples/data/mytemp new file mode 100644 index 0000000..e69de29 diff --git a/simple_examples/data/s14abje.d b/simple_examples/data/s14abje.d new file mode 100644 index 0000000..083a4f4 --- /dev/null +++ b/simple_examples/data/s14abje.d @@ -0,0 +1,10 @@ +S14ABF Example Program Data + 1.0 + 1.25 + 1.5 + 1.75 + 2.0 + 5.0 + 10.0 + 20.0 + 1000.0 diff --git a/simple_examples/data/s14acje.d b/simple_examples/data/s14acje.d new file mode 100644 index 0000000..64a16c9 --- /dev/null +++ b/simple_examples/data/s14acje.d @@ -0,0 +1,5 @@ +S14ACJ Example Program Data +0.1 +0.5 +3.6 +8.0 diff --git a/simple_examples/data/s14afje.d b/simple_examples/data/s14afje.d new file mode 100644 index 0000000..f658cc5 --- /dev/null +++ b/simple_examples/data/s14afje.d @@ -0,0 +1,2 @@ +S14AFJ Example Program Data +-1.5 2.5 1 : Values of Z and K diff --git a/simple_examples/data/s17dcje.d b/simple_examples/data/s17dcje.d new file mode 100644 index 0000000..fa0d57f --- /dev/null +++ b/simple_examples/data/s17dcje.d @@ -0,0 +1,6 @@ +S17DCJ Example Program Data +0.00 0.3 0.4 'U' +2.30 2.0 0.0 'U' +2.12 -1.0 0.0 'U' +1.58 -2.3 5.6 'U' +1.58 -2.3 5.6 'S' diff --git a/simple_examples/data/s17dgje.d b/simple_examples/data/s17dgje.d new file mode 100644 index 0000000..3e62c29 --- /dev/null +++ b/simple_examples/data/s17dgje.d @@ -0,0 +1,6 @@ +S17DGF Example Program Data + 'F' ( 0.3, 0.4) 'U' + 'F' ( 0.2, 0.0) 'U' + 'F' ( 1.1, -6.6) 'U' + 'F' ( 1.1, -6.6) 'S' + 'D' (-1.0, 0.0) 'U' diff --git a/simple_examples/data/s30aaje.d b/simple_examples/data/s30aaje.d new file mode 100644 index 0000000..0248da1 --- /dev/null +++ b/simple_examples/data/s30aaje.d @@ -0,0 +1,9 @@ +S30AAJ Example Program Data +'C' : Call = 'C', Put = 'P' +55.0 0.3 0.1 0.0 : S, SIGMA, R, Q +3 2 : M, N +58.0 +60.0 +62.0 : X(I), I = 1,2,...M +0.7 +0.8 : T(I), I = 1,2,...N diff --git a/simple_examples/data/s30acje.d b/simple_examples/data/s30acje.d new file mode 100644 index 0000000..48117a7 --- /dev/null +++ b/simple_examples/data/s30acje.d @@ -0,0 +1,9 @@ +S30ACJ Example Program Data +'C' : Call = 'C', Put = 'P' +5 1 : Values of n and mode + +4.14 3.89 5.39 5.14 5.04 : p +268.0 268.0 268.0 268.5 269.0 : k +267.5 267.5 267.5 267.5 267.5 : s0 +0.00274 0.00274 0.0164 0.0164 0.0164 : t +0.0166 0.0166 0.0166 0.0166 0.0166 : r diff --git a/simple_examples/data/x03aaje.d b/simple_examples/data/x03aaje.d new file mode 100644 index 0000000..1254b78 --- /dev/null +++ b/simple_examples/data/x03aaje.d @@ -0,0 +1,5 @@ +X03AAJ Example Program Data + -2 -3 7 + 2 -5 3 + -9 1 0 + 8 -4 -2 diff --git a/simple_examples/source/int32/A00AAJE.java b/simple_examples/source/int32/A00AAJE.java new file mode 100644 index 0000000..65b6c18 --- /dev/null +++ b/simple_examples/source/int32/A00AAJE.java @@ -0,0 +1,16 @@ +import com.nag.routines.A00.A00AA; + +/** + * A00AA example program text. + */ +public class A00AAJE { + + public static void main(String[] args) { + A00AA a00aa = new A00AA(); + + System.out.println(" A00AAJ Example Program Results\n"); + a00aa.eval(); + + } + +} diff --git a/simple_examples/source/int32/A00ACJE.java b/simple_examples/source/int32/A00ACJE.java new file mode 100644 index 0000000..7f44ba3 --- /dev/null +++ b/simple_examples/source/int32/A00ACJE.java @@ -0,0 +1,29 @@ +import com.nag.routines.A00.A00AC; + +/** + * A00AC example program text. + * @author Mo + */ +public class A00ACJE { + + public static void main(String[] args) { + A00AC a00ac = new A00AC(); + boolean lmok; + + System.out.println(" A00ACJ Example Program Results\n"); + System.out.println(); + + a00ac.eval(); + + lmok = a00ac.eval(); + + if (lmok) { + System.out.println("A valid licence key is available"); + } + else { + System.out.println("No valid licence key was found"); + } + + } + +} diff --git a/simple_examples/source/int32/A00ADJE.java b/simple_examples/source/int32/A00ADJE.java new file mode 100644 index 0000000..139c8b9 --- /dev/null +++ b/simple_examples/source/int32/A00ADJE.java @@ -0,0 +1,107 @@ +import com.nag.routines.A00.A00AD; +import com.nag.routines.X05.X05AA; +import java.util.Arrays; + +/** + * A00AD example program text. + */ +public class A00ADJE { + + public static void main(String[] args) { + + A00AD a00ad = new A00AD(); + X05AA x05aa = new X05AA(); + int i, mkmaj, mkmin; + boolean licval; + String fcomp, hdware, impl, opsys, pcode, prec, vend; + int[] itime = new int[7]; + + // Instantiate arguments + mkmaj = 0; + mkmin = 0; + licval = false; + + // Strings must be length expected by Fortran + fcomp = getBlankString(80); + hdware = getBlankString(80); + impl = getBlankString(80); + opsys = getBlankString(80); + pcode = getBlankString(80); + prec = getBlankString(80); + vend = getBlankString(80); + + System.out.println(" A00ADJ Example Program Results\n"); + + a00ad.eval(impl, prec, pcode, mkmaj, mkmin, hdware, opsys, fcomp, vend, licval); + + // Output scalars must be retrieved manually + impl = a00ad.getIMPL(); + prec = a00ad.getPREC(); + pcode = a00ad.getPCODE(); + mkmaj = a00ad.getMKMAJ(); + mkmin = a00ad.getMKMIN(); + hdware = a00ad.getHDWARE(); + opsys = a00ad.getOPSYS(); + fcomp = a00ad.getFCOMP(); + vend = a00ad.getVEND(); + licval = a00ad.getLICVAL(); + + // Print implementation details + + System.out.println("*** Start of NAG Library implementation details ***"); + System.out.println(); + System.out.println("Implementation title: " + impl.trim()); + System.out.println(" Precision: " + prec.trim()); + System.out.println(" Product code: " + pcode.trim()); + + if (mkmin < 10) { + System.out.printf(" Mark: %2d.%1d\n", mkmaj, mkmin); + } + else { + System.out.printf(" Mark: %2d.%2d\n", mkmaj, mkmin); + } + + if (vend.trim().equals("(self-contained)")) { + System.out.println(" Vendor Library: None"); + } + else { + System.out.println(" Vendor Library: " + vend.trim()); + } + + System.out.println("Applicable to:"); + System.out.println(" hardware: " + hdware.trim()); + System.out.println(" operating system: " + opsys.trim()); + System.out.println(" Fortran compiler: " + fcomp.trim()); + System.out.println("and compatible systems."); + + if (!licval) { + System.out.println(" Licence query: Unsuccessful"); + } + else { + System.out.println(" Licence query: Successful"); + } + + System.out.println(); + System.out.println("*** End of NAG Library implementation details ***"); + + } + + /** + * Returns a new String, filled with spaces to the specified length. + * + * @param len the required length of the String + * @return a blank String of the specified length + */ + public static String getBlankString(int len) { + + if (len > 0) { + char[] arr = new char[len]; + Arrays.fill(arr, ' '); + return new String(arr); + } + + return ""; + + } + +} diff --git a/simple_examples/source/int32/C02AAJE.java b/simple_examples/source/int32/C02AAJE.java new file mode 100644 index 0000000..1abc528 --- /dev/null +++ b/simple_examples/source/int32/C02AAJE.java @@ -0,0 +1,174 @@ +import com.nag.routines.C02.C02AA; +import com.nag.routines.Routine; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X02.X02AL; +import com.nag.types.NAGComplex; +import java.util.Arrays; + +/** + * C02AA example program text. + * @author joed + * @since 27.1.0.0 + */ +public class C02AAJE { + + public static void main(String[] args) { + + System.out.println(" C02AAJ Example Program Results"); + + Routine.setComplex(new NAGComplex()); + exampleBasic(); + examplePolishing(); + + System.out.println(); + + } + + /** Demonstrate a basic problem. */ + public static void exampleBasic() { + + C02AA c02aa = new C02AA(); + int ifail, itmax, n, polish; + NAGComplex[] a, z; + double[] berr, cond; + int[] conv; + + System.out.println(); + System.out.println("Example 1: Basic Problem"); + System.out.println(); + + // Set polynomial degree and instantiate arrays + n = 5; + a = new NAGComplex[n+1]; + berr = new double[n]; + cond = new double[n]; + conv = new int[n]; + z = NAGComplex.createArray(n); + + // Set polynomial coefficients + a[0] = new NAGComplex(5.0, 6.0); + a[1] = new NAGComplex(30.0, 20.0); + a[2] = new NAGComplex(-0.2, -6.0); + a[3] = new NAGComplex(50.0, 100000.0); + a[4] = new NAGComplex(-2.0, 40.0); + a[5] = new NAGComplex(10.0, 1.0); + + // Find roots of the polynomial + itmax = 30; + polish = 1; + ifail = 0; + c02aa.eval(a, n, itmax, polish, z, berr, cond, conv, ifail); + + // Print output + System.out.println(" i z conv berr cond "); + System.out.println(" ---------------------------------------------------"); + for (int i = 0; i < n; i++) { + System.out.printf(" %2d %9.2E, %9.2E %3d %9.2E %9.2E\n", i+1, + z[i].getRe(), z[i].getIm(), conv[i], berr[i], cond[i]); + } + + } + + /** Compare polishing processes on a Wilkinson-style polynomial. */ + public static void examplePolishing() { + + C02AA c02aa = new C02AA(); + X02AJ x02aj = new X02AJ(); + X02AL x02al = new X02AL(); + NAGComplex pz; + double delta, eps, err, fwderr, maxfwderr, maxrelerr, relerr, rmax; + int ifail, itmax, k, n, polish; + NAGComplex[] a, z, zact; + double[] berr, cond; + int[] conv; + boolean[] matched; + + System.out.println(); + System.out.println("Example 2: Polishing Processes"); + System.out.println(); + + // Set polynomial degree and instantiate + n = 10; + a = new NAGComplex[n+1]; + berr = new double[n]; + cond = new double[n]; + conv = new int[n]; + matched = new boolean[n]; + z = new NAGComplex[n]; + zact = new NAGComplex[n]; + + // Set known roots and (instantiate z) + for (int i = 0; i < n; i++) { + zact[i] = new NAGComplex((double) i+1, 0.0); + z[i] = new NAGComplex(); + } + + // Multiply out (z-1)(z-2)...(z-n) for coefficients + for (int i = 0; i < n; i++) { + a[i] = new NAGComplex(); + } + a[n] = new NAGComplex(1.0, 0.0); + for (int i = 0; i < n; i++) { + for (int j = 0; j < n; j++) { + a[j] = a[j+1].subtract(a[j].multiply(zact[i])); + } + a[n] = a[n].negate().multiply(zact[i]); + } + + System.out.println(" polish relerr fwderr "); + System.out.println(" ----------------------------"); + + itmax = 30; + eps = x02aj.eval(); + rmax = x02al.eval(); + + for (polish = 0; polish <= 2; polish++) { + + // Find roots + ifail = 0; + c02aa.eval(a, n, itmax, polish, z, berr, cond, conv, ifail); + + /* Calculate the maximum relative errors of the roots, and the maximum + * forward error evaluating the polynomial at those roots. Errors are + * capped at machine precision. */ + maxrelerr = maxfwderr = eps; + Arrays.fill(matched, false); + + for (int i = 0; i < n; i++) { + + // Evaluate polynomial at this root + pz = a[0].clone(); + for (int j = 1; j <= n; j++) { + pz = z[i].multiply(pz).add(a[j]); + } + + // Match to an expected root + k = 0; + err = rmax; + for (int j = 0; j < n; j++) { + if (!matched[j]) { + delta = z[i].subtract(zact[j]).abs(); + if (delta <= err) { + err = delta; + k = j; + } + } + } + + // Mark as matched and update max errors + matched[k] = true; + relerr = err/zact[k].abs(); + fwderr = pz.abs(); + maxrelerr = Math.max(maxrelerr, relerr); + maxfwderr = Math.max(maxfwderr, fwderr); + + } + + // Print output + System.out.printf(" %2d %10.2E%10.2E\n", polish, maxrelerr, maxfwderr); + + } + + } + +} diff --git a/simple_examples/source/int32/C02ABJE.java b/simple_examples/source/int32/C02ABJE.java new file mode 100644 index 0000000..fad5ebb --- /dev/null +++ b/simple_examples/source/int32/C02ABJE.java @@ -0,0 +1,217 @@ +import com.nag.routines.C02.C02AB; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X02.X02AL; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * C02AB + */ +public class C02ABJE { + + public static void main(String[] args) { + + final boolean polish_example = false; + + Routine.setComplex(new NAGComplex()); + + System.out.println(" C02ABJ Example Program Results"); + + ex1_basic(args); + if (polish_example) { + ex2_polishing(args); + } + } + + public static void ex1_basic(String[] args) { + + int i, ifail, itmax, n = 0, polish; + + NAGComplex[] z = null; + double[] a = null, berr = null, cond = null; + int[] conv = null; + + System.out.println("\n Basic Problem\n"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading in data file + String line = reader.readLine(); + line = reader.readLine(); + line = reader.readLine(); + + // Read polynomial degree and allocate + line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + a = new double[n + 1]; + berr = new double[n]; + cond = new double[n]; + conv = new int[n]; + z = NAGComplex.createArray(n); + + // Read polynomial coefficients + for (i = 0; i <= n; i++) { + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + a[i] = Double.parseDouble(sVal[0]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Find roots of the polynomial + itmax = 30; + polish = 1; + ifail = 0; + C02AB c02ab = new C02AB(); + c02ab.eval(a ,n, itmax, polish, z, berr, cond, conv, ifail); + + // Print output + System.out.println(" i z conv berr cond"); + System.out.println(" -----------------------------------------------------"); + for (i = 0; i < n; i++) { + System.out.printf(" %2d (%10.2E, %9.2E) %3d %9.2E %9.2E\n", i+1, z[i].getRe(), z[i].getIm(), conv[i], berr[i], cond[i]); + } + } + + public static void ex2_polishing(String[] args) { + NAGComplex pz = new NAGComplex(); + double delta, eps, err, fwderr, maxfwderr, maxrelerr, relerr, rmax; + int i, ifail, itmax, j, k, n = 0, polish; + + NAGComplex[] z = null, zact = null; + double[] a = null, berr = null, cond = null; + int[] conv = null; + boolean[] matched = null; + + System.out.println("\n Polishing Processes\n"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading and previous example in data file + for (i = 0; i <= 12; i++) { + reader.readLine(); + } + + // Read polynomial degree and allocate + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + + a = new double[n + 1]; + berr = new double[n]; + cond = new double[n]; + conv = new int[n]; + matched = new boolean[n]; + z = NAGComplex.createArray(n); + zact = NAGComplex.createArray(n); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Set known roots + for (i = 0; i < n; i++) { + zact[i] = new NAGComplex((double) (i + 1), 0.0); + } + + // Multiply out (z-1)(z-2)...(z-n) for coefficients + for (i = 0; i < n; i++) { + a[i] = 0.0; + } + a[n] = 1.0; + for (i = 0; i < n; i++) { + for (j = 0; j < n; j++) { + a[j] = a[j + 1] - a[j] * zact[i].getRe(); + } + a[n] = -a[n] * zact[i].getRe(); + } + + System.out.println(" polish relerr fwderr"); + System.out.println(" ----------------------------"); + + // Use different polish modes + X02AJ x02aj = new X02AJ(); + X02AL x02al = new X02AL(); + for (polish = 0; polish <= 2; polish++) { + + itmax = 30; + eps = x02aj.eval(); + rmax = x02al.eval(); + + // Find roots + ifail = 0; + C02AB c02ab = new C02AB(); + c02ab.eval(a, n , itmax, polish, z, berr, cond, conv, ifail); + + // Calculate the maximum relative errors of the roots, and the maximum + // forward error evaluating the polynomial at those roots. Errors are + // capped at machine precision. + maxrelerr = eps; + maxfwderr = eps; + Arrays.fill(matched, false); + + for (i = 0; i < n; i++) { + // Evaluate polynomial at this root + pz = new NAGComplex(a[0], 0.0); + for (j = 1; j <= n; j++) { + pz = z[i].multiply(pz).add(new NAGComplex(a[j], 0.0)); + } + + // Match to an expected root + k = 0; + err = rmax; + for (j = 0; j < n; j++) { + if (!matched[j]) { + delta = z[i].subtract(zact[j]).abs(); + if (delta <= err) { + err = delta; + k = j; + } + } + } + + // Mark as matched and update max errors + matched[k] = true; + relerr = err/zact[k].abs(); + fwderr = pz.abs(); + maxrelerr = Math.max(maxrelerr, relerr); + maxfwderr = Math.max(maxfwderr, fwderr); + } + + // Print output + System.out.printf(" %2d %10.2E%10.2E\n", polish, maxrelerr, maxfwderr); + + } + } +} diff --git a/simple_examples/source/int32/C02AFJE.java b/simple_examples/source/int32/C02AFJE.java new file mode 100644 index 0000000..6043be7 --- /dev/null +++ b/simple_examples/source/int32/C02AFJE.java @@ -0,0 +1,271 @@ +import com.nag.routines.C02.C02AF; +import com.nag.routines.A02.A02AB; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X02.X02AL; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * C02AF + */ +public class C02AFJE { + + public static final boolean scal = true; + + public static void main(String[] args) { + + System.out.println(" C02AFJ Example Program Results"); + + ex1(args); + + ex2(args); + } + + public static void ex1(String[] args) { + + int i, ifail, n = 0; + + double[][] a = null, z = null; + double[] w = null; + + System.out.println("\n\n Example 1"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading in data file + reader.readLine(); + reader.readLine(); + reader.readLine(); + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + + a = new double[2][n + 1]; + w = new double[4 * (n + 1)]; + z = new double[2][n]; + + for (i = 0; i <= n; i++) { + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + a[0][i] = Double.parseDouble(sVal[0]); + a[1][i] = Double.parseDouble(sVal[1]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = 0; + C02AF c02af = new C02AF(); + double[] a1d = convert2DTo1D(a); + double[] z1d = convert2DTo1D(z); + c02af.eval(a1d, n, scal, z1d, w, ifail); + + z = convert1DTo2D(z1d, 2); + + System.out.println(); + System.out.printf(" Degree of polynomial = %4d\n", n); + System.out.println(); + System.out.println(" Computed roots of polynomial"); + System.out.println(); + + for (i = 0; i < n; i++) { + System.out.printf(" z = %12.4E%+12.4E*i\n", z[0][i], z[1][i]); + } + + } + + public static void ex2(String[] args) { + + double deltac, deltai, di, eps, epsbar, f, r1, r2, r3, rmax; + int i, ifail, j, jmin = 0, n = 0; + + double[][] a = null, abar = null, z = null, zbar = null; + double[] r = null, w = null; + int[] m = null; + + System.out.println("\n\n Example 2"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading and previous example in data file + for (i = 0; i < 12; i++) { + reader.readLine(); + } + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + a = new double[2][n + 1]; + abar = new double[2][n + 1]; + r = new double[n]; + w = new double[4 * (n + 1)]; + z = new double[2][n]; + zbar = new double[2][n]; + m = new int[n]; + + // Read in the coefficients of the original polynomial. + for (i = 0; i <= n; i++) { + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + a[0][i] = Double.parseDouble(sVal[0]); + a[1][i] = Double.parseDouble(sVal[1]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Compute the roots of the original polynomial. + ifail = 0; + C02AF c02af = new C02AF(); + double[] a1d = convert2DTo1D(a); + double[] z1d = convert2DTo1D(z); + c02af.eval(a1d, n, scal, z1d, w, ifail); + + z = convert1DTo2D(z1d, 2); + + // Form the coefficients of the perturbed polynomial. + X02AJ x02aj = new X02AJ(); + eps = x02aj.eval(); + epsbar = 3.0 * eps; + + for (i = 0; i <= n; i++) { + if (a[0][i] != 0.0E0) { + f = 1.0E0 + epsbar; + epsbar = -epsbar; + abar[0][i] = f * a[0][i]; + + if (a[1][i] != 0.0E0) { + abar[1][i] = f * a[1][i]; + } else { + abar[1][i] = 0.0E0; + } + + } else { + + if (a[1][i] != 0.0E0) { + f = 1.0E0 + epsbar; + epsbar = -epsbar; + abar[1][i] = f * a[1][i]; + } else { + abar[1][i] = 0.0E0; + } + } + } + + // Compute the roots of the perturbed polynomial. + ifail = 0; + double[] abar1d = convert2DTo1D(abar); + double[] zbar1d = convert2DTo1D(zbar); + c02af.eval(abar1d, n, scal, zbar1d, w, ifail); + + zbar = convert1DTo2D(zbar1d, 2); + + // Perform error analysis. + + // Initialize markers to 0 (unmarked). + Arrays.fill(m, 0); + X02AL x02al = new X02AL(); + rmax = x02al.eval(); + + // Loop over all unperturbed roots (stored in Z). + A02AB a02ab = new A02AB(); + for (i = 0; i < n; i++) { + deltai = rmax; + r1 = a02ab.eval(z[0][i], z[1][i]); + + // Loop over all perturbed roots (stored in ZBAR). + for (j = 0; j < n; j++) { + // Compare the current unperturbed root to all unmarked + // perturbed roots. + + if (m[j] == 0) { + r2 = a02ab.eval(zbar[0][j], zbar[1][j]); + deltac = Math.abs(r1 - r2); + + if (deltac < deltai) { + deltai = deltac; + jmin = j; + } + } + } + + // Mark the selected perturbed root. + m[jmin] = 1; + + // Compute the relative error. + if (r1 != 0.0E0) { + r3 = a02ab.eval(zbar[0][jmin], zbar[1][jmin]); + di = Math.min(r1, r3); + r[i] = Math.max(deltai / Math.max(di, deltai / rmax), eps); + } else { + r[i] = 0.0E0; + } + } + + System.out.println(); + System.out.printf(" Degree of polynomial = %4d\n", n); + System.out.println(); + System.out.println(" Computed roots of polynomial Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < n; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", z[0][i], z[1][i], r[i]); + } + + } + + public static double[] convert2DTo1D(double[][] a) { + double[] b = new double[a.length * a[0].length]; + int n = a.length; + + for (int i = 0; i < a.length; i++) { + for (int j = 0; j < a[0].length; j++) { + b[i + j*n] = a[i][j]; + } + } + + return b; + } + + public static double[][] convert1DTo2D(double[] a, int n) { + double[][] b = new double[n][a.length / n]; + + for (int i = 0; i < b.length; i++) { + for (int j = 0; j < b[0].length; j++) { + b[i][j] = a[i + j*n]; + } + } + + return b; + } +} diff --git a/simple_examples/source/int32/C02AGJE.java b/simple_examples/source/int32/C02AGJE.java new file mode 100644 index 0000000..c58e524 --- /dev/null +++ b/simple_examples/source/int32/C02AGJE.java @@ -0,0 +1,262 @@ +import com.nag.routines.C02.C02AG; +import com.nag.routines.A02.A02AB; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X02.X02AL; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * C02AG + */ +public class C02AGJE { + + public static final boolean scal = true; + + public static void main(String[] args) { + + System.out.println(" C02AGJ Example Program Results"); + + ex1(args); + + ex2(args); + } + + public static void ex1(String[] args) { + double zi, zr; + int i, ifail, n = 0, nroot; + + double[] a = null, w = null; + double[][] z = null; + + System.out.println("\n\n Example 1\n"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading in data file + reader.readLine(); + reader.readLine(); + reader.readLine(); + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + a = new double[n + 1]; + w = new double[2 * (n + 1)]; + z = new double[2][n]; + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i <= n; i++) { + a[i] = Double.parseDouble(sVal[i]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + System.out.println(); + System.out.printf(" Degree of polynomial = %4d\n", n); + System.out.println(); + + ifail = 0; + C02AG c02ag = new C02AG(); + double[] z1d = convert2DTo1D(z); + c02ag.eval(a, n, scal, z1d, w, ifail); + + z = convert1DTo2D(z1d, 2); + + System.out.println(" Computed roots of polynomial"); + System.out.println(); + + nroot = 0; + + while (nroot < n) { + zr = z[0][nroot]; + zi = z[1][nroot]; + if (zi == 0.0E0) { + System.out.printf(" z = %12.4E\n", zr); + nroot += 1; + } else { + System.out.printf(" z = %12.4E +/- %12.4E*i\n", zr, Math.abs(zi)); + nroot += 2; + } + } + } + + public static void ex2(String[] args) { + + double deltac, deltai, di, eps, epsbar, f, r1, r2, r3, rmax; + int i, ifail, j, jmin = 0, n = 0; + + double[] a = null, abar = null, r = null, w = null; + double[][] z = null, zbar = null; + int[] m = null; + + System.out.println("\n\n Example 2"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + + // Skip heading and previous example in data file + for (i = 0; i < 7; i++) { + reader.readLine(); + } + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + + a = new double[n+1]; + abar = new double[n+1]; + r = new double[n]; + w = new double[2 * (n+1)]; + z = new double[2][n]; + zbar = new double[2][n]; + m = new int[n]; + + // Read in the coefficients of the original polynomial. + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i <= n; i++) { + a[i] = Double.parseDouble(sVal[i]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Compute the roots of the original polynomial. + ifail = 0; + C02AG c02ag = new C02AG(); + double[] z1d = convert2DTo1D(z); + c02ag.eval(a, n, scal, z1d ,w, ifail); + + z = convert1DTo2D(z1d, 2); + + // Form the coefficients of the perturbed polynomial. + X02AJ x02aj = new X02AJ(); + eps = x02aj.eval(); + epsbar= 3.0 * eps; + + for (i = 0; i <= n; i++) { + if (a[i] != 0.0) { + f = 1.0 + epsbar; + epsbar = -epsbar; + abar[i] = f * a[i]; + } else { + abar[i] = 0.0E0; + } + } + + // Compute the roots of the perturbed polynomial. + ifail = 0; + double[] zbar1d = convert2DTo1D(zbar); + c02ag.eval(abar, n, scal, zbar1d, w, ifail); + + zbar = convert1DTo2D(zbar1d, 2); + + // Perform error analysis. + + // Initialize markers to 0 (unmarked). + Arrays.fill(m, 0); + + X02AL x02al = new X02AL(); + rmax = x02al.eval(); + + // Loop over all unperturbed roots (stored in Z). + A02AB a02ab = new A02AB(); + for (i = 0; i < n; i++) { + deltai = rmax; + r1 = a02ab.eval(z[0][i], z[1][i]); + + // Loop over all perturbed roots (stored in ZBAR). + for (j = 0; j < n; j++) { + // Compare the current unperturbed root to all unmarked + // perturbed roots. + + if (m[j] == 0) { + r2 = a02ab.eval(zbar[0][i], zbar[1][i]); + deltac = Math.abs(r1-r2); + + if (deltac < deltai) { + deltai = deltac; + jmin = j; + } + } + } + + // Mark the selected perturbed root. + m[jmin] = 1; + + // Compute the relative error. + if (r1 != 0.0E0) { + r3 = a02ab.eval(zbar[0][jmin], zbar[1][jmin]); + di = Math.min(r1, r3); + r[i] = Math.max(deltai / Math.max(di, deltai / rmax), eps); + } else { + r[i] = 0.0; + } + } + + System.out.println(); + System.out.printf(" Degree of polynomial = %4d\n", n); + System.out.println(); + System.out.println(" Computed roots of polynomial Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < n; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", z[0][i], z[1][i], r[i]); + } + } + + public static double[] convert2DTo1D(double[][] a) { + double[] b = new double[a.length * a[0].length]; + int n = a.length; + + for (int i = 0; i < a.length; i++) { + for (int j = 0; j < a[0].length; j++) { + b[i + j * n] = a[i][j]; + } + } + + return b; + } + + public static double[][] convert1DTo2D(double[] a, int n) { + double[][] b = new double[n][a.length / n]; + + for (int i = 0; i < b.length; i++) { + for (int j = 0; j < b[0].length; j++) { + b[i][j] = a[i + j * n]; + } + } + + return b; + } +} diff --git a/simple_examples/source/int32/C02AHJE.java b/simple_examples/source/int32/C02AHJE.java new file mode 100644 index 0000000..b1e12cd --- /dev/null +++ b/simple_examples/source/int32/C02AHJE.java @@ -0,0 +1,61 @@ +import com.nag.routines.C02.C02AH; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AH + */ +public class C02AHJE { + + public static void main(String[] args) { + + double ai = 0, ar = 0, bi = 0, br = 0, ci = 0, cr = 0; + int ifail; + + double[] zlg = new double[2]; + double[] zsm = new double[2]; + + System.out.println(" C02AHJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + ar = Double.parseDouble(sVal[0]); + ai = Double.parseDouble(sVal[1]); + br = Double.parseDouble(sVal[2]); + bi = Double.parseDouble(sVal[3]); + cr = Double.parseDouble(sVal[4]); + ci = Double.parseDouble(sVal[5]); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = -1; + C02AH c02ah = new C02AH(); + c02ah.eval(ar, ai, br, bi, cr, ci, zsm, zlg, ifail); + ifail = c02ah.getIFAIL(); + + if (ifail == 0) { + System.out.println("\n Roots of quadratic equation\n"); + System.out.printf(" z = %12.4E%+14.4E*i\n", zsm[0], zsm[1]); + System.out.printf(" z = %12.4E%+14.4E*i\n", zlg[0], zlg[1]); + } + } +} diff --git a/simple_examples/source/int32/C02AJJE.java b/simple_examples/source/int32/C02AJJE.java new file mode 100644 index 0000000..64e3a5e --- /dev/null +++ b/simple_examples/source/int32/C02AJJE.java @@ -0,0 +1,65 @@ +import com.nag.routines.C02.C02AJ; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AJ + */ +public class C02AJJE { + + public static void main(String[] args) { + + double a = 0, b = 0, c = 0; + int ifail; + + double[] zlg = new double[2]; + double[] zsm = new double[2]; + + System.out.println(" C02AJJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + a = Double.parseDouble(sVal[0]); + b = Double.parseDouble(sVal[1]); + c = Double.parseDouble(sVal[2]); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = -1; + C02AJ c02aj = new C02AJ(); + c02aj.eval(a, b, c, zsm, zlg, ifail); + ifail = c02aj.getIFAIL(); + + if (ifail == 0) { + System.out.println("\n Roots of quadratic equation\n"); + + if (zsm[1] == 0.0E0) { + // 2 real roots. + System.out.printf(" z = %12.4E\n", zsm[0]); + System.out.printf(" z = %12.4E\n", zlg[0]); + } else { + // 2 complex roots. + System.out.printf(" z = %12.4E +/- %12.4E*i", zsm[0], Math.abs(zsm[1])); + } + } + } +} diff --git a/simple_examples/source/int32/C02AKJE.java b/simple_examples/source/int32/C02AKJE.java new file mode 100644 index 0000000..4a0579f --- /dev/null +++ b/simple_examples/source/int32/C02AKJE.java @@ -0,0 +1,62 @@ +import com.nag.routines.C02.C02AK; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AK + */ +public class C02AKJE { + + public static void main(String[] args) { + + double r = 0, s = 0, t = 0, u = 0; + int i, ifail; + + double[] errest = new double[3]; + double[] zeroi = new double[3]; + double[] zeror = new double[3]; + + System.out.println(" C02AKJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + u = Double.parseDouble(sVal[0]); + r = Double.parseDouble(sVal[1]); + s = Double.parseDouble(sVal[2]); + t = Double.parseDouble(sVal[3]); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = 0; + C02AK c02ak = new C02AK(); + c02ak.eval(u, r, s, t, zeror, zeroi, errest, ifail); + + System.out.println(); + System.out.println(" Roots of cubic equation Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < 3; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); + } + } +} diff --git a/simple_examples/source/int32/C02ALJE.java b/simple_examples/source/int32/C02ALJE.java new file mode 100644 index 0000000..4f9eac9 --- /dev/null +++ b/simple_examples/source/int32/C02ALJE.java @@ -0,0 +1,64 @@ +import com.nag.routines.C02.C02AL; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AL + */ +public class C02ALJE { + + public static void main(String[] args) { + + double a = 0, b = 0, c = 0, d = 0, e = 0; + int i, ifail; + + double[] errest = new double[4]; + double[] zeroi = new double[4]; + double[] zeror = new double[4]; + + System.out.println(" C02ALJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + e = Double.parseDouble(sVal[0]); + a = Double.parseDouble(sVal[1]); + b = Double.parseDouble(sVal[2]); + c = Double.parseDouble(sVal[3]); + d = Double.parseDouble(sVal[4]); + + } catch (FileNotFoundException e_exception) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e_exception) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e_exception.getMessage()); + } + + ifail = 0; + C02AL c02al = new C02AL(); + c02al.eval(e, a, b, c, d, zeror, zeroi, errest, ifail); + ifail = c02al.getIFAIL(); + + System.out.println(); + System.out.println(" Roots of quartic equation Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < 4; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); + } + } +} diff --git a/simple_examples/source/int32/C02AMJE.java b/simple_examples/source/int32/C02AMJE.java new file mode 100644 index 0000000..f1fffa4 --- /dev/null +++ b/simple_examples/source/int32/C02AMJE.java @@ -0,0 +1,75 @@ +import com.nag.routines.C02.C02AM; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AM + */ +public class C02AMJE { + + public static void main(String[] args) { + + Routine.setComplex(new NAGComplex()); + + NAGComplex r = null, s = null, t = null, u = null; + int i, ifail; + + double[] errest = new double[3]; + double[] zeroi = new double[3]; + double[] zeror = new double[3]; + + System.out.println(" C02AMJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine().replaceAll("[(),]", ""); + String[] sVal = line.trim().split("\\s+"); + u = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + r = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + s = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + t = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = 0; + C02AM c02am = new C02AM(); + c02am.eval(u, r, s, t, zeror, zeroi, errest, ifail); + + System.out.println(); + System.out.println(" Roots of cubic equation Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < 3; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); + } + } +} diff --git a/simple_examples/source/int32/C02ANJE.java b/simple_examples/source/int32/C02ANJE.java new file mode 100644 index 0000000..dc865e2 --- /dev/null +++ b/simple_examples/source/int32/C02ANJE.java @@ -0,0 +1,80 @@ +import com.nag.routines.C02.C02AN; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C02AN + */ +public class C02ANJE { + + public static void main(String[] args) { + + Routine.setComplex(new NAGComplex()); + + NAGComplex a = null, b = null, c = null, d = null, e = null; + int i, ifail; + + double[] errest = new double[4]; + double[] zeroi = new double[4]; + double[] zeror = new double[4]; + + System.out.println(" C02ANJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + reader.readLine(); // Skip heading in data file + + String line = reader.readLine().replaceAll("[(),]", ""); + String[] sVal = line.trim().split("\\s+"); + e = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + a = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + b = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + c = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + line = reader.readLine().replaceAll("[(),]", ""); + sVal = line.trim().split("\\s+"); + d = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); + + } catch (FileNotFoundException e_exception) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e_exception) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e_exception.getMessage()); + } + + ifail = 0; + C02AN c02an = new C02AN(); + c02an.eval(e, a, b, c, d, zeror, zeroi, errest, ifail); + ifail = c02an.getIFAIL(); + + System.out.println(); + System.out.println(" Roots of quartic equation Error estimates"); + System.out.println(" (machine-dependent)"); + System.out.println(); + + for (i = 0; i < 4; i++) { + System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); + } + } +} diff --git a/simple_examples/source/int32/C05AUJE.java b/simple_examples/source/int32/C05AUJE.java new file mode 100644 index 0000000..d2b09b1 --- /dev/null +++ b/simple_examples/source/int32/C05AUJE.java @@ -0,0 +1,67 @@ +import com.nag.routines.C05.C05AU; + +/** + * C05AUJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class C05AUJE{ + + /** + * C05AUJ main program + */ + public static void main(String[] args){ + double a = 0, b = 0, eps, eta, h, x; //placeholders + int ifail; + double[] ruser; + int[] iuser; + + ruser = new double[1]; //need to initialise before passing to wrapper + iuser = new int[1]; + + System.out.println("C05AUJ Example Program Results"); + + x = 1; + h = 0.1; + eps = 0.00001; + eta = 0; + + //Instance of class f to pass to wrapper + f f1 = new f(); + + ifail = -1; + C05AU c05au = new C05AU(x, h, eps, eta, f1, a, b, iuser, ruser, ifail); + c05au.eval(); + + //update values + x = c05au.getX(); + a = c05au.getA(); + b = c05au.getB(); + ifail = c05au.getIFAIL(); + + System.out.println(); + + switch(ifail){ + case 0: + System.out.printf("Root is : \t%.5f\n", x); + System.out.printf("Interval searched is : \t[ %.5f, %.5f]\n", a, b); + break; + case 3: + case 4: + System.out.printf("Final value = %.5f\n", x); + break; + } + } + + /** + * Extends abstract class C05AU.Abstract_C05AU_F. eval() returns the value of the function at a given x. + * eval() must be implemented by the user. + * @return x - e^x + */ + public static class f extends C05AU.Abstract_C05AU_F{ + public double eval(){ + return(this.X - Math.exp(-this.X)); + } + } +} + diff --git a/simple_examples/source/int32/C05AWJE.java b/simple_examples/source/int32/C05AWJE.java new file mode 100644 index 0000000..6ea3c9f --- /dev/null +++ b/simple_examples/source/int32/C05AWJE.java @@ -0,0 +1,59 @@ +import com.nag.routines.C05.C05AW; + +public class C05AWJE{ + + public static void main(String[] args){ + double eps, eta, x; + int ifail, nfmax; + double[] ruser; + int[] iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println("C05AWJ Example Program Results"); + System.out.println(); + + boolean finished = false; + for(int i = 3; i <= 4; i++){ + eps = Math.pow(10, -i); + x = 1; + eta = 0; + nfmax = 200; + + ifail = -1; + f f1 = new f(); + C05AW c05aw = new C05AW(x, eps, eta, f1, nfmax, iuser, ruser, ifail); + c05aw.eval(); + + ifail = c05aw.getIFAIL(); + x = c05aw.getX(); + eps = c05aw.getEPS(); + + switch(ifail){ + case(0): + System.out.printf("With eps = %.2e root = %.5f\n", eps, x); + break; + case(-1): + //exit loop + finished = true; + break; + case(3): + case(4): + System.out.printf("With eps = %.2e root = %.5f\n", eps, x); + break; + } + if(finished){ + break; + } + } + } + + public static class f extends C05AW.Abstract_C05AW_F{ + public double eval(){ + return(Math.exp(-X) - X); + } + } +} + + diff --git a/simple_examples/source/int32/C05AYJE.java b/simple_examples/source/int32/C05AYJE.java new file mode 100644 index 0000000..c9ee43b --- /dev/null +++ b/simple_examples/source/int32/C05AYJE.java @@ -0,0 +1,44 @@ +import com.nag.routines.C05.C05AY; + +/** + * C05AY example program text. + */ +public class C05AYJE { + + public static void main(String[] args) { + + C05AY c05ay = new C05AY(); + OBJFUN f = new OBJFUN(); + double a = 0.0, b = 1.0, eps = 1.0e-5, eta = 0.0, x = 0.0; + int ifail = 0; + int[] iuser = new int[1]; + double[] ruser = new double[1]; + + System.out.println("C05AYJ Example Program Results"); + System.out.println(); + + c05ay.eval(a, b, eps, eta, f, x, iuser, ruser, ifail); + x = c05ay.getX(); + + switch (ifail) { + case 0: + System.out.printf("Zero at x = %12.5f\n", x); + break; + case 2: case 3: + System.out.printf("Final point = %12.5f\n", x); + break; + default: + System.out.println("Unexpected ifail = " + ifail); + } + + } + + private static class OBJFUN extends C05AY.Abstract_C05AY_F { + + public double eval() { + return Math.exp(-X) - X; + } + + } + +} diff --git a/simple_examples/source/int32/C05AZJE.java b/simple_examples/source/int32/C05AZJE.java new file mode 100644 index 0000000..7c3e27e --- /dev/null +++ b/simple_examples/source/int32/C05AZJE.java @@ -0,0 +1,65 @@ +import com.nag.routines.C05.C05AZ; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * C05AZ example program text. + */ +public class C05AZJE { + + public static void main(String[] args) { + double tolx = 0.00001, x = 0.0, y = 1.0, fx; + int ir = 0, ind = 1, ifail = -1; + double[] c = new double[17]; + boolean keepOn = true; + + + C05AZ c05az = new C05AZ(); + fx = fun(x); + int ite = 0; + + System.out.println(" C05AZJ Example Program Results\n"); + System.out.println(" Iterations\n"); + + while (keepOn) { + ++ite; + + c05az.eval(x,y,fx,tolx,ir,c,ind,ifail); + + x = c05az.getX(); + y = c05az.getY(); + tolx = c05az.getTOLX(); + ir = c05az.getIR(); + ind = c05az.getIND(); + ifail = c05az.getIFAIL(); + if (ind == 0) { + keepOn = false; + } + else { + fx = fun(x); + System.out.printf(" X = %7.5f FX = %11.4E IND = %1d\n", x, fx, ind); + } + + } + + switch (ifail) { + case 0: + System.out.println("\n Solution\n"); + System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); + break; + case 4: + case 5: + System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); + break; + default: + System.out.printf("Unexpected error ifail=%d\n",ifail); + } + + } + + private static double fun(double x) { + double res = (Math.expm1(-x) + 1) - x; + return res; + } + +} diff --git a/simple_examples/source/int32/C05BBJE.java b/simple_examples/source/int32/C05BBJE.java new file mode 100644 index 0000000..4723773 --- /dev/null +++ b/simple_examples/source/int32/C05BBJE.java @@ -0,0 +1,89 @@ +import com.nag.routines.C05.C05BB; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C05BBJ Example program text. + * @author willa + * @since 27.1.0.0 + */ +public class C05BBJE{ + + /** + * C05BBJE main program text + */ + public static void main(String[] args){ + NAGComplex w, z; + double resid = 0; + int branch = 0, ifail = 0; //placeholder + boolean offset = false; //placeholder + + //need to initialise first + z = new NAGComplex(); + w = new NAGComplex(); + + System.out.println("C05BBJ Example Program Results"); + + if(args.length != 1){ + System.out.println("Please specify path to data file as input"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + branch = Integer.parseInt(sVal[0]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + offset = Boolean.parseBoolean(sVal[0]); + + System.out.printf("Branch = %d\n", branch); + System.out.printf("Offset = %b\n", offset); + + System.out.println(); + System.out.printf("\t\tZ\t\t\tW(Z)\t\t\t\tRESID\tIFAIL\n"); + System.out.println(); + + while(true){ + line = reader.readLine(); + if(line == null){ + break; + } + sVal = line.split("\\s+"); + + z.setRe(Double.parseDouble(sVal[0])); + z.setIm(Double.parseDouble(sVal[1])); + + ifail = -1; + C05BB c05bb = new C05BB(branch, offset, z, w, resid, ifail); + c05bb.eval(); + + z = (NAGComplex) c05bb.getZ(); + w = (NAGComplex) c05bb.getW(); + resid = c05bb.getRESID(); + ifail = c05bb.getIFAIL(); + + if(ifail < 0){ + break; + } + + System.out.printf("(%.5e, %.5e)\t (%.5e, %.5e)\t %.5e\t %d\n", z.getRe(), z.getIm(), w.getRe(), w.getIm(), resid, ifail); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} diff --git a/simple_examples/source/int32/C05MBJE.java b/simple_examples/source/int32/C05MBJE.java new file mode 100644 index 0000000..9b46ff5 --- /dev/null +++ b/simple_examples/source/int32/C05MBJE.java @@ -0,0 +1,95 @@ +import com.nag.routines.C05.C05MB; +import com.nag.routines.F06.DNRM2; +import com.nag.routines.X02.X02AJ; + +/** + * C05MBJ example program text. + * + * @author joed + * @since 27.0.0.0 + * + */ +public class C05MBJE { + + private static final int n = 4; + + private static class FCN extends C05MB.Abstract_C05MB_FCN { + + public void eval() { + + FVEC[0] = Math.cos(X[2]) - X[0]; + FVEC[1] = Math.sqrt(1.0 - Math.pow(X[3],2)) - X[1]; + FVEC[2] = Math.sin(X[0]) - X[2]; + FVEC[3] = Math.pow(X[1], 2) - X[3]; + + // Set iflag negative to terminate execution for any reason + IFLAG = 0; + + return; + + } + + } + + /** + * C05MBJ example main program. + */ + public static void main(String[] args) { + + C05MB c05mb = new C05MB(); + DNRM2 dnrm2 = new DNRM2(); + X02AJ x02aj = new X02AJ(); + FCN fcn = new FCN(); + long cpuser; + double atol, cndtol, fnorm, machpr, rtol; + int astart, i, ifail, m; + double[] fvec, x; + double[] ruser = new double[1]; + int[] iuser = new int[1]; + + System.out.println("C05MBJ Example Program Results\n"); + + // Get machine precision from X02AJ + machpr = (new X02AJ()).eval(); + + fvec = new double[n]; + x = new double[n]; + + // The following starting values provide a rough solution + x = new double[]{2.0, 0.5, 2.0, 0.5}; + + m = 2; + atol = Math.sqrt(machpr); + rtol = Math.sqrt(machpr); + cndtol = 0.0; + astart = 0; + cpuser = 0; + + ifail = -1; + c05mb.eval(fcn, n, x, fvec, atol, rtol, m, cndtol, astart, iuser, ruser, + cpuser, ifail); + ifail = c05mb.getIFAIL(); + + if (ifail == 0 || ifail == 8 || ifail == 9) { + if (ifail == 0) { + // The NAG name equivalent of dnrm2 is f06ej + fnorm = dnrm2.eval(n, fvec, 1); + System.out.println(); + System.out.printf("Final 2-norm of the residuals = %12.4e\n", fnorm); + System.out.println(); + System.out.println("Final approximate solution"); + } + else { + System.out.println(); + System.out.println("Approximate solution"); + } + System.out.println(); + for (i = 1; i <= n; i++) { + System.out.printf("%12.4f", x[i-1]); + } + System.out.printf("\n"); + } + + } + +} diff --git a/simple_examples/source/int32/C05QBJE.java b/simple_examples/source/int32/C05QBJE.java new file mode 100644 index 0000000..4b93405 --- /dev/null +++ b/simple_examples/source/int32/C05QBJE.java @@ -0,0 +1,167 @@ +import com.nag.routines.C05.C05QB; +import com.nag.routines.F06.DNRM2; +import com.nag.routines.X02.X02AJ; + +/** + * C05QB example program text. + * @author ludovic + */ +public class C05QBJE { + + public static void main(String[] args) { + + C05QB c05qb = new C05QB(); + + System.out.println(" C05QBJ Example Program Results"); + + int n = 9, ifail = -1; + + double xtol, fnorm; + + int[] IUSER = new int[1]; + double[] fvec = new double[n]; + double[] x = new double[n]; + double[] RUSER = new double[1]; + + + FCN fcn = new FCN(); + + for (int i = 0; i < n; ++i) { + x[i] = -1.0; + } + xtol = Math.sqrt((new X02AJ()).eval()); + + c05qb.eval(fcn, n, x, fvec, xtol, IUSER, RUSER, ifail); + + ifail = c05qb.getIFAIL(); + + switch (ifail) { + case (0): + fnorm = (new DNRM2(n, fvec, 1)).eval(); + System.out.println(); + System.out.printf(" Final 2-norm of the residuals = %11.4E\n", fnorm); + System.out.println(); + System.out.println(" Final approximate solution"); + int count = 0; + for (int i = 0; i < n; ++i) { + System.out.printf(" %12.4f", x[i]); + ++count; + if (count == 3) { + System.out.println(); + count = 0; + } + } + break; + case (2): + case (3): + case (4): + System.out.println("Approximate solution"); + count = 0; + for (int i = 0; i < n; ++i) { + System.out.printf(" %12.4f", x[i]); + ++count; + if (count == 3) { + System.out.println(); + count = 0; + } + } + break; + } + + } + + public static class FCN implements C05QB.C05QB_FCN { + + private int N, IFLAG; + private double[] X, FVEC, RUSER; + private int[] IUSER; + + @Override + public void setN(int N) { + this.N = N; + } + + @Override + public int getN() { + return N; + } + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setFVEC(double[] FVEC) { + this.FVEC = FVEC; + } + + @Override + public double[] getFVEC() { + return FVEC; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void eval(int N, double[] X, double[] FVEC, int[] IUSER, double[] RUSER, int IFLAG) { + + /* + * fvec(1:n) = (3.0_nag_wp-2.0_nag_wp*x(1:n))*x(1:n) + 1.0_nag_wp + * fvec(2:n) = fvec(2:n) - x(1:(n-1)) + * fvec(1:(n-1)) = fvec(1:(n-1)) - 2.0_nag_wp*x(2:n) + */ + for (int i = 0; i < N; ++i) { + FVEC[i] = (3.0 - 2.0 * X[i]) * X[i] + 1.0; + /*if (i >= 1) { + FVEC[i] = FVEC[i] - X[i - 1]; + } + if (i < N - 1) { + FVEC[i] = FVEC[i] - 2.0 * X[i + 1]; + }*/ + } + for (int i = 1; i < N; ++i) { + FVEC[i] = FVEC[i] - X[i - 1]; + } + for (int i = 0; i < N-1; ++i) { + FVEC[i] = FVEC[i] - 2.0 * X[i + 1]; + } + + } + + } + +} diff --git a/simple_examples/source/int32/C06BAJE.java b/simple_examples/source/int32/C06BAJE.java new file mode 100644 index 0000000..541d4d3 --- /dev/null +++ b/simple_examples/source/int32/C06BAJE.java @@ -0,0 +1,56 @@ +import com.nag.routines.C06.C06BA; +import com.nag.routines.X01.X01AA; + +/** + * C06BAJ example program text. + * @author willa + */ +public class C06BAJE{ + + public static void main(String[] args){ + int lwork = 16, nout = 6; + int ifail, ncall; + double abserr = 0.0, ans, error, pi = 0.0, r, result = 0.0, seqn, sig; + double[] work; + + C06BA c06ba = new C06BA(); + work = new double[lwork]; + + System.out.println("C06BAJ Example Program Results"); + System.out.println(); + + X01AA x01aa = new X01AA(pi); + pi = x01aa.eval(); + + ans = Math.pow(pi, 2)/12.0; + ncall = 0; + sig = 1.0; + seqn = 0.0; + System.out.println("\t\t\t Estimated\t Actual"); + System.out.println("I\t SEQN \t RESULT\t abs error\t error"); + System.out.println(); + + for(int i = 0; i < 10; i++){ + r = (double) i + 1; + seqn = seqn + sig/Math.pow(r, 2); + + ifail = 0; + c06ba.eval(seqn, ncall, result, abserr, work, lwork, ifail); + + //update variables + ncall = c06ba.getNCALL(); + result = c06ba.getRESULT(); + abserr = c06ba.getABSERR(); + + error = result - ans; + sig = -sig; + + if(i <= 2){ + System.out.printf("%d\t %.4f\t %.4f\t -\t\t %.2e\n", (i + 1), seqn, result, error); + } + else{ + System.out.printf("%d\t %.4f\t %.4f\t %.2e\t %.2e\n", (i + 1), seqn, result, abserr, error); + } + } + } +} diff --git a/simple_examples/source/int32/C06FKJE.java b/simple_examples/source/int32/C06FKJE.java new file mode 100644 index 0000000..58db62f --- /dev/null +++ b/simple_examples/source/int32/C06FKJE.java @@ -0,0 +1,91 @@ +import com.nag.routines.C06.C06FK; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C06FKJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class C06FKJE{ + + /** + * C06FKJE main program + */ + public static void main(String[] args){ + int ifail = 0, n = 0; //placeholder + double[] work, xa, xb, ya, yb; + + work = new double[0]; + xa = new double[0]; + xb = new double[0]; + ya = new double[0]; + yb = new double[0]; //placeholders + + System.out.println("C06FKJ Example Program Results"); + System.out.println(); + + //Supply file path as argument + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //Loop until break... + while(true){ + line = reader.readLine(); + //Break when the end of the file is reached + if(line == null){ + break; + } + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[0]); + + work = new double[n]; + xa = new double[n]; + xb = new double[n]; + ya = new double[n]; + yb = new double[n]; + + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + xa[i] = Double.parseDouble(sVal[0]); + xb[i] = xa[i]; + ya[i] = Double.parseDouble(sVal[1]); + yb[i] = ya[i]; + } + + ifail = 0; + + C06FK c06fk1 = new C06FK(1, xa, ya, n, work, ifail); + c06fk1.eval(); + xa = c06fk1.getX(); + C06FK c06fk2 = new C06FK(2, xb, yb, n, work, ifail); + c06fk2.eval(); + xb = c06fk2.getX(); + + System.out.printf("\tCovolution \tCorrelation\n"); + System.out.println(); + + for(int i = 0; i < n; i++){ + System.out.printf("%d\t%.5f\t\t%.5f\n", i, xa[i], xb[i]); + } + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} diff --git a/simple_examples/source/int32/C09AAJE.java b/simple_examples/source/int32/C09AAJE.java new file mode 100644 index 0000000..48c38b6 --- /dev/null +++ b/simple_examples/source/int32/C09AAJE.java @@ -0,0 +1,158 @@ +import com.nag.routines.C09.C09AA; +import com.nag.routines.C09.C09CC; +import com.nag.routines.C09.C09CD; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * C09AAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class C09AAJE{ + + /** + * C09AAJ example main program + */ + public static void main(String[] args){ + int ifail, lenc = 0, n = 0, nf = 0, nnz, nwc = 0, nwlmax = 0, ny; //placeholders + String mode = "", wavnam = "", wtrans; //placeholders + int[] dwtlev, icomm; + double[] c, x, y; + + x = new double[0]; y = new double[0]; //placeholders + + //print error message if no data file given + if(args.length != 1){ + C09AAJE.usage(); + } + + icomm = new int[100]; + + System.out.println("C09AAJ Example Program Results"); + System.out.println(); + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[1]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + wavnam = sVal[1]; + mode = sVal[2]; + + x = new double[n]; + y = new double[n]; + + System.out.printf("Parameters read from file :: \n \tWavelet : %s \tEnd mode : %s \t N = %d\n", wavnam, mode, n); + + System.out.println("Input data \tX : "); + for(int i = 0; i < n; i++){ + line = reader.readLine(); + //Avoid errors with data file format and negative numbers + line = " " + line; + sVal = line.split("\\s+"); + x[i] = Double.parseDouble(sVal[1]); + System.out.printf("%.3f\t", x[i]); + } + System.out.printf("\n"); + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + //Query wavelet filter dimensions + //For Multi-Resolution analysis ,decomposition, wrtrans = 'M' + wtrans = "Multilevel"; + + //ifail: behaviour on error exit + // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft + ifail = 0; + C09AA c09aa = new C09AA(wavnam, wtrans, mode, n, nwlmax, nf, nwc, icomm, ifail); + c09aa.eval(); + + nwc = c09aa.getNWC(); + nwlmax = c09aa.getNWLMAX(); + lenc = nwc; + c = new double[lenc]; + dwtlev = new int[nwlmax + 1]; + + icomm = c09aa.getICOMM(); + ifail = 0; + //Perform discrete wavelet transform + C09CC c09cc = new C09CC(n, x, lenc, c, nwlmax, dwtlev, icomm, ifail); + c09cc.eval(); + + nf = c09aa.getNF(); + nwlmax = c09cc.getNWL(); + dwtlev = c09cc.getDWTLEV(); + c = c09cc.getC(); + + System.out.println(); + System.out.printf("Length of wavelet filter : \t%d\n", nf); + System.out.printf("Number of Levels : \t%d\n", nwlmax); + System.out.printf("Number of coefficients in each level: \n\t\t"); + for(int i = 0; i <= nwlmax; i++){ + System.out.printf("%d\t ", dwtlev[i]); + } + System.out.printf("\n"); + System.out.printf("Total number of wavelength coefficients : %d\n", nwc); + nnz = arraySum(dwtlev); + System.out.println(); + System.out.println("Wavelet coefficients C:"); + for(int i = 0; i < nnz; i++){ + System.out.printf("%.3f ", c[i]); + } + System.out.printf("\n"); + + //Reconstruct original data + ny = n; + + ifail = 0; + lenc = c09cc.getLENC(); + icomm = c09cc.getICOMM(); + C09CD c09cd = new C09CD(nwlmax, lenc, c, ny, y, icomm, ifail); + c09cd.eval(); + + y = c09cd.getY(); + System.out.println(); + System.out.printf("Reconstruction \tY : \n"); + for(int i = 0; i < ny; i++){ + System.out.printf("%.3f ", y[i]); + } + System.out.printf("\n"); + } + + /** + * Finds the sum of all integers in an array + * @param a + * Array to sum + * @return total + */ + private static int arraySum(int[] a){ + int tot = 0; + for(int i = 0; i < a.length; i++){ + tot += a[i]; + } + return tot; + } + + /** + * No arguments supplied when exmaple runs + */ + private static void usage(){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} diff --git a/simple_examples/source/int32/D01BDJE.java b/simple_examples/source/int32/D01BDJE.java new file mode 100644 index 0000000..8659cc4 --- /dev/null +++ b/simple_examples/source/int32/D01BDJE.java @@ -0,0 +1,58 @@ +import com.nag.routines.D01.D01BD; + +/** + * D01BD example program text. + */ +public class D01BDJE { + + public static void main(String[] args) { + + double a = 0.0, b = 1.0; + double epsabs = 0.0, epsrel = 0.0001; + double result = Double.NaN; + double abserr = Double.NaN; + FUN fun = new FUN(); + D01BD d01bd = new D01BD(fun, a, b, epsabs, epsrel, result, abserr); + + d01bd.eval(); + result = d01bd.getRESULT(); + abserr = d01bd.getABSERR(); + + System.out.println(" D01BDJ Example Program Results"); + + System.out.println(); + System.out.printf(" A - lower limit of integration = %10.4f\n",a); + System.out.printf(" B - upper limit of integration = %10.4f\n",b); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.println(); + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.println(); + + if (abserr > Math.max(epsabs,epsrel*Math.abs(result))) { + System.out.println("Warning - requested accuracy may not have been achieved"); + } + + } + + + public static class FUN implements D01BD.D01BD_F { + + private double x; + + public double eval(double x) { + return (x * x * Math.sin(10.0 * Math.PI * x)); + } + + public double getX() { + return x; + } + + public void setX(double d) { + x = d; + } + + } + +} diff --git a/simple_examples/source/int32/D01RJJE.java b/simple_examples/source/int32/D01RJJE.java new file mode 100644 index 0000000..9eee98a --- /dev/null +++ b/simple_examples/source/int32/D01RJJE.java @@ -0,0 +1,184 @@ +import com.nag.routines.D01.D01RJ; +import com.nag.routines.X01.X01AA; +import java.util.Arrays; + +/** + * D01RJ example program text. + * @author Mo + */ +public class D01RJJE { + + public static void main(String[] args) { + + double pi = 0.0; + double a, b, epsabs, epsrel; + double result = Double.NaN; + double abserr = Double.NaN; + double[] rinfo, ruser; + int [] iinfo, iuser; + int ifail, liinfo, lrinfo, maxsub; + long cpuser; // c_ptr + F f = new F(); + + /* Header */ + System.out.println(" D01RJJ Example Program Results"); + + X01AA x01aa = new X01AA(pi); + pi = x01aa.eval(); + a = 0.0; + b = 2.0*pi; + epsabs = 0.0; + epsrel = 0.0001; + maxsub = 20; + lrinfo = 4*maxsub; + liinfo = Math.max(maxsub,4); + + rinfo = new double[lrinfo]; + iinfo = new int[liinfo]; + iuser = new int[0]; + ruser = new double[0]; + + iuser = new int[] {0}; + /* pass constant to f through ruser */ + ruser = new double[] {4.0*Math.pow(pi,2)}; + cpuser = 0L; + + D01RJ d01rj = new D01RJ(); + ifail = -1; + d01rj.eval(f, a, b, epsabs, epsrel, maxsub, result, abserr, + rinfo, iinfo, iuser, ruser, cpuser, ifail); + result = d01rj.getRESULT(); + abserr = d01rj.getABSERR(); + ifail = d01rj.getIFAIL(); + + if (ifail >= 0) { + System.out.println(); + System.out.printf(" A - lower limit of integration = %9.4f\n",a); + System.out.printf(" B - upper limit of integration = %9.4f\n",b); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); + System.out.println(); + if (ifail <= 5) { + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); + System.out.println(); + } + else if (ifail == -1) { + /* User requested exit */ + System.out.printf(" Exit requested from F with IFLAG %4d\n",iuser[0]); + System.out.println(); + } + + } + + } + + public static class F implements D01RJ.D01RJ_F { + + private int NX, IFLAG; + private double[] X, FV, RUSER; + private int[] IUSER; + private long CPUSER; + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setNX(int NX) { + this.NX = NX; + } + + @Override + public int getNX() { + return NX; + } + + @Override + public void setFV(double[] FV) { + this.FV = FV; + } + + @Override + public double[] getFV() { + return FV; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setCPUSER(long CPUSER) { + this.CPUSER = CPUSER; + } + + @Override + public long getCPUSER() { + return CPUSER; + } + + @Override + public void eval(double[] X, int NX, double[] FV, int IFLAG, + int[] IUSER, double[] RUSER, long CPUSER) { + + for (int i = 0; i < NX; i++) { + FV[i] = 0.0; + } + + for (int i = 0; i < NX; i++) { + if (X[i] == 1.0) { + /* An undefined result will be generated. */ + /* Set iflag to force an immediate exit */ + IFLAG = -1; + /* Store chosen value of iflag in iuser */ + IUSER[0] = IFLAG; + } + } + if (IFLAG != -1) { + for (int j = 0; j < NX; j++) { + FV[j] = X[j] * Math.sin(30.0 * X[j])/ + Math.sqrt(1.0 - Math.pow(X[j],2)/RUSER[0]); + } + } + return; + + } + + } + +} diff --git a/simple_examples/source/int32/D01RKJE.java b/simple_examples/source/int32/D01RKJE.java new file mode 100644 index 0000000..20c0501 --- /dev/null +++ b/simple_examples/source/int32/D01RKJE.java @@ -0,0 +1,173 @@ +import com.nag.routines.D01.D01RK; +import com.nag.routines.X01.X01AA; +import java.util.Arrays; + +/** + * D01RK example program text. + * @author Mo + */ +public class D01RKJE { + + public static void main(String[] args) { + + double pi = 0.0; + double a, b, epsabs, epsrel; + double result = Double.NaN; + double abserr = Double.NaN; + double[] rinfo, ruser; + int [] iinfo, iuser; + int ifail, key, liinfo, lrinfo, maxsub; + long cpuser; // c_ptr + F f = new F(); + + /* Header */ + System.out.println(" D01RKJ Example Program Results"); + + key = 6; + X01AA x01aa = new X01AA(pi); + pi = x01aa.eval(); + a = 0.0; + b = 2.0*pi; + epsabs = 0.0; + epsrel = 0.0001; + maxsub = 20; + lrinfo = 4*maxsub; + liinfo = Math.max(maxsub,4); + + rinfo = new double[lrinfo]; + iinfo = new int[liinfo]; + iuser = new int[0]; + ruser = new double[0]; + + iuser = new int[] {0}; + ruser = new double[] {4.0*Math.pow(pi,2)}; + cpuser = 0L; + + D01RK d01rk = new D01RK(); + ifail = -1; + d01rk.eval(f, a, b, key, epsabs, epsrel, maxsub, result, abserr, + rinfo, iinfo, iuser, ruser, cpuser, ifail); + result = d01rk.getRESULT(); + abserr = d01rk.getABSERR(); + ifail = d01rk.getIFAIL(); + + if (ifail >= 0) { + System.out.println(); + System.out.printf(" A - lower limit of integration = %9.4f\n",a); + System.out.printf(" B - upper limit of integration = %9.4f\n",b); + System.out.printf(" KEY - choice of Gaussian rule = %4d\n",key); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); + System.out.println(); + if (ifail <= 5) { + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); + System.out.println(); + } + else if (ifail == -1) { + /* User requested exit */ + System.out.printf(" Exit requested from F \n"); + System.out.println(); + } + + } + + } + + public static class F implements D01RK.D01RK_F { + + private int NX, IFLAG; + private double[] X, FV, RUSER; + private int[] IUSER; + private long CPUSER; + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setNX(int NX) { + this.NX = NX; + } + + @Override + public int getNX() { + return NX; + } + + @Override + public void setFV(double[] FV) { + this.FV = FV; + } + + @Override + public double[] getFV() { + return FV; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setCPUSER(long CPUSER) { + this.CPUSER = CPUSER; + } + + @Override + public long getCPUSER() { + return CPUSER; + } + + @Override + public void eval(double[] X, int NX, double[] FV, int IFLAG, + int[] IUSER, double[] RUSER, long CPUSER) { + + for (int i = 0; i < NX; i++) { + FV[i] = 0.0; + } + + for (int j = 0; j < NX; j++) { + FV[j] = X[j] * Math.sin(30.0 * X[j]) * Math.cos(X[j]); + } + return; + + } + + } + +} diff --git a/simple_examples/source/int32/D01RLJE.java b/simple_examples/source/int32/D01RLJE.java new file mode 100644 index 0000000..c8a6d0e --- /dev/null +++ b/simple_examples/source/int32/D01RLJE.java @@ -0,0 +1,196 @@ +import com.nag.routines.D01.D01RL; +import java.util.Arrays; + +/** + * D01RL example program text. + * @author Mo + */ +public class D01RLJE { + + public static void main(String[] args) { + + double a, b, epsabs, epsrel; + double result = Double.NaN; + double abserr = Double.NaN; + double[] points, rinfo, ruser; + int [] iinfo, iuser; + int ifail, liinfo, lrinfo, maxsub, npts; + long cpuser; // c_ptr + F f = new F(); + + /* Header */ + System.out.println(" D01RLJ Example Program Results"); + + epsabs = 0.0; + epsrel = 0.0001; + a = 0.0; + b = 1.0; + npts = 1; + maxsub = 20; + liinfo = 2*Math.max(maxsub,npts) + npts + 4; + lrinfo = 4*Math.max(maxsub,npts) + npts + 6; + + points = new double[npts]; + rinfo = new double[lrinfo]; + iinfo = new int[liinfo]; + iuser = new int[0]; + ruser = new double[21]; + + points[0] = 1.0/7.0; + iuser = new int[] {0}; + ruser = new double[] {0.0}; + cpuser = 0L; + + D01RL d01rl = new D01RL(); + ifail = -1; + d01rl.eval(f, a, b, npts, points, epsabs, epsrel, maxsub, result, abserr, + rinfo, iinfo, iuser, ruser, cpuser, ifail); + points = d01rl.getPOINTS(); + result = d01rl.getRESULT(); + abserr = d01rl.getABSERR(); + ifail = d01rl.getIFAIL(); + + if (ifail >= 0) { + System.out.println(); + System.out.printf(" A - lower limit of integration = %9.4f\n",a); + System.out.printf(" B - upper limit of integration = %9.4f\n",b); + System.out.printf(" POINT(1) - given break-point = %9.4f\n",points[0]); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); + System.out.println(); + if (ifail <= 5) { + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); + System.out.println(); + } + else if (ifail == -1) { + /* User requested exit */ + System.out.printf(" Exit requested from F"); + System.out.println(); + } + + } + + } + + public static class F implements D01RL.D01RL_F { + + private int NX, IFLAG; + private double[] X, FV, RUSER; + private int[] IUSER; + private long CPUSER; + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setNX(int NX) { + this.NX = NX; + } + + @Override + public int getNX() { + return NX; + } + + @Override + public void setFV(double[] FV) { + this.FV = FV; + } + + @Override + public double[] getFV() { + return FV; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setCPUSER(long CPUSER) { + this.CPUSER = CPUSER; + } + + @Override + public long getCPUSER() { + return CPUSER; + } + + @Override + public void eval(double[] X, int NX, double[] FV, int IFLAG, + int[] IUSER, double[] RUSER, long CPUSER) { + + /*for (int i = 0; i < NX; i++) {*/ + /*FV[i] = 0.0;*/ + /*}*/ + + for (int i = 0; i < NX; i++) { + FV[i] = Math.abs(X[i] - 1.0/7.0); + } + + for (int i = 0; i < NX; i++) { + if (FV[i] == 0.0) { + /* A singular point will be hit. */ + /* Record offending abscissae and abort computation. */ + IFLAG = 0; + for (int k = 0; k < NX; k++) { + if (FV[k] == 0.0) { + IFLAG = IFLAG + 1; + RUSER[IFLAG-1] = X[k]; + } + } + /* Store value of iflag in iuser */ + IUSER[0] = IFLAG; + /* signal abort by setting iflag<0 */ + IFLAG = -IFLAG; + } + } + if (IFLAG == 0) { + /* Safe to evaluate. */ + for (int j = 0; j < NX; j++) { + FV[j] = 1.0/Math.sqrt(FV[j]); + } + } + return; + + } + + } + +} diff --git a/simple_examples/source/int32/D01RMJE.java b/simple_examples/source/int32/D01RMJE.java new file mode 100644 index 0000000..6e80b2b --- /dev/null +++ b/simple_examples/source/int32/D01RMJE.java @@ -0,0 +1,163 @@ +import com.nag.routines.D01.D01RM; +import java.util.Arrays; + +/** + * D01RM example program text. + * @author Mo + */ +public class D01RMJE { + + public static void main(String[] args) { + + double bound, epsabs, epsrel; + double result = Double.NaN; + double abserr = Double.NaN; + double[] rinfo, ruser; + int [] iinfo, iuser; + int ifail, inf, liinfo, lrinfo, maxsub; + long cpuser; // c_ptr + F f = new F(); + + /* Header */ + System.out.println(" D01RMJ Example Program Results"); + + bound = 0.0; + inf = 1; + epsabs = 0.0; + epsrel = 0.0001; + maxsub = 20; + lrinfo = 4*maxsub; + liinfo = Math.max(maxsub,4); + + rinfo = new double[lrinfo]; + iinfo = new int[liinfo]; + iuser = new int[0]; + ruser = new double[0]; + + iuser = new int[] {0}; + ruser = new double[] {0.0}; + cpuser = 0L; + + D01RM d01rm = new D01RM(); + ifail = -1; + d01rm.eval(f, bound, inf, epsabs, epsrel, maxsub, result, abserr, + rinfo, iinfo, iuser, ruser, cpuser, ifail); + result = d01rm.getRESULT(); + abserr = d01rm.getABSERR(); + ifail = d01rm.getIFAIL(); + + if (ifail >= 0) { + System.out.println(); + System.out.printf(" A - lower limit of integration = %9.4f\n",bound); + System.out.println(" B - upper limit of integration = infinity\n"); + System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); + System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); + System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); + System.out.println(); + if (ifail <= 5) { + System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); + System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); + System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); + System.out.println(); + } + else if (ifail == -1) { + /* User requested exit */ + System.out.printf(" Exit requested from F \n"); + System.out.println(); + } + + } + + } + + public static class F implements D01RM.D01RM_F { + + private int NX, IFLAG; + private double[] X, FV, RUSER; + private int[] IUSER; + private long CPUSER; + + @Override + public void setX(double[] X) { + this.X = X; + } + + @Override + public double[] getX() { + return X; + } + + @Override + public void setNX(int NX) { + this.NX = NX; + } + + @Override + public int getNX() { + return NX; + } + + @Override + public void setFV(double[] FV) { + this.FV = FV; + } + + @Override + public double[] getFV() { + return FV; + } + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setIUSER(int[] IUSER) { + this.IUSER = IUSER; + } + + @Override + public int[] getIUSER() { + return IUSER; + } + + @Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + @Override + public double[] getRUSER() { + return RUSER; + } + + @Override + public void setCPUSER(long CPUSER) { + this.CPUSER = CPUSER; + } + + @Override + public long getCPUSER() { + return CPUSER; + } + + @Override + public void eval(double[] X, int NX, double[] FV, int IFLAG, + int[] IUSER, double[] RUSER, long CPUSER) { + + for (int j = 0; j < NX; j++) { + FV[j] = 1.0/((X[j] + 1.0) * Math.sqrt(X[j])); + } + return; + + } + + } + +} diff --git a/simple_examples/source/int32/D01TCJE.java b/simple_examples/source/int32/D01TCJE.java new file mode 100644 index 0000000..cde8428 --- /dev/null +++ b/simple_examples/source/int32/D01TCJE.java @@ -0,0 +1,45 @@ +import com.nag.routines.D01.D01TC; +import java.util.Arrays; + +/** + * D01TC example program text. + * @author Mo + */ +public class D01TCJE { + + public static void main(String[] args) { + + double a, b, c, d; + double[] abscis, weight; + int n, ifail, itype; + + /* Header */ + System.out.println(" D01TCJ Example Program Results"); + + n = 7; + a = 0.0; + b = 1.0; + c = 0.0; + d = 0.0; + itype = -3; + + abscis = new double[n]; + weight = new double[n]; + + D01TC d01tc = new D01TC(); + ifail = 0; + d01tc.eval(itype, a, b, c, d, n, weight, abscis, ifail); + abscis= d01tc.getABSCIS(); + weight = d01tc.getWEIGHT(); + + System.out.println(); + System.out.printf(" Laguerre formula, %2d points\n",n); + System.out.println(); + System.out.println(" Abscissae Weights\n"); + for (int j = 0; j < n; j++) { + System.out.printf("%15.5E %15.5E\n", abscis[j], weight[j]); + } + + } + +} diff --git a/simple_examples/source/int32/D02NEJE.java b/simple_examples/source/int32/D02NEJE.java new file mode 100644 index 0000000..34a5b25 --- /dev/null +++ b/simple_examples/source/int32/D02NEJE.java @@ -0,0 +1,388 @@ +import com.nag.routines.D02.D02MC; +import com.nag.routines.D02.D02MW; +import com.nag.routines.D02.D02NE; +import com.nag.routines.D02.D02NEZ; +import com.nag.routines.D02.D02NP; +import java.util.Arrays; + +/** + * D02NE example program text. + * @author joed + */ +public class D02NEJE { + + public static final double ALPHA = 0.04; + public static final double BETA = 1.0E4; + public static final double GAMMA = 3.0E7; + public static final int ML = 1; + public static final int MU = 2; + public static final int NEQ1 = 3; + public static final int NEQ2 = 1; + + public static JAC1 jac1 = new JAC1(); + public static JAC2 jac2 = new JAC2(); + public static RES1 res1 = new RES1(); + public static RES2 res2 = new RES2(); + + public static void main(String[] args) { + + System.out.println(" D02NEJ Example Program Results"); + + ex1(); + ex2(); + + } + + private static void ex1() { + + D02MC d02mc = new D02MC(); + D02MW d02mw = new D02MW(); + D02NE d02ne = new D02NE(); + D02NP d02np = new D02NP(); + double h0, hmax, t, tout; + int ifail, ijac, itask, itol, lcom, licom, maxord, neq; + String jceval; // length 8 + double[] atol, com, rtol, y, ydot, ruser; + int[] icom, iuser; + + ruser = new double[1]; + iuser = new int[3]; + + System.out.println(); + System.out.println(" D02NEF Example 1"); + System.out.println(); + + maxord = 5; + + neq = NEQ1; + lcom = 40 + (maxord + 4) * neq + (2 * ML + MU + 1) * neq + + 2 * (neq / (ML + MU + 1) + 1); + licom = 50 + neq; + + atol = new double[neq]; + com = new double[lcom]; + rtol = new double[neq]; + y = new double[neq]; + ydot = new double[neq]; + icom = new int[licom]; + + ijac = 1; + itol = 1; + Arrays.fill(rtol, 1.0E-3); + Arrays.fill(atol, 1.0E-6); + Arrays.fill(ydot, 0.0); + + // String length = 8 + jceval = (ijac == 1) ? "Analytic" : "Numeric "; + + // Set initial values + y[0] = 1.0; + y[1] = 0.0; + y[2] = 0.0; + + // Initialize the problem, specifying that the Jacobian is to be + // evaluated analytically using the provided routine jac. + hmax = 0.0; + h0 = 0.0; + t = 0.0; + tout = 0.02; + ifail = 0; + d02mw.eval( + neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail + ); + ifail = d02mw.getIFAIL(); + + // Specify that the Jacobian is banded. + ifail = 0; + d02np.eval(neq, ML, MU, icom, licom, ifail); + ifail = d02np.getIFAIL(); + + // Use the iuser array to pass the band dimensions through to jac. + // An alternative would be to hard code values for ml and mu in jac. + iuser[0] = ML; + iuser[1] = MU; + iuser[2] = ijac; + + System.out.printf(" t "); + for (int i = 1; i <= neq; i++) { + System.out.printf(" Y(%1d) ", i); + } + System.out.println(); + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + itask = 0; + + // Obtain the solution at 5 equally spaced values of T. + for (int j = 0; j < 5; j++) { + ifail = -1; + d02ne.eval( + neq, t, tout, y, ydot, rtol, atol, itask, res1, jac1, icom, + com, lcom, iuser, ruser, ifail + ); + itask = d02ne.getITASK(); + ifail = d02ne.getIFAIL(); + t = d02ne.getT(); + + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + if (ifail != 0) { + System.out.printf( + " ** D02NEF returned with IFAIL = %5d\n", ifail + ); + break; + } + + tout += 0.02; + d02mc.eval(icom); + + } + + System.out.println(); + System.out.printf( + " The integrator completed task, ITASK = %4d\n", itask + ); + + } + + private static void ex2() { + D02MC d02mc = new D02MC(); + D02MW d02mw = new D02MW(); + D02NE d02ne = new D02NE(); + double h0, hmax, t, tout; + int ifail, ijac, itask, itol, lcom, licom, maxord, neq; + String jceval; // length 8 + double[] atol, com, rtol, y, ydot, ruser; + int[] icom, iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println(); + System.out.println(" D02NEF Example 2"); + System.out.println(); + + maxord = 5; + neq = NEQ2; + lcom = 40 + (maxord + 4) * neq + neq * neq; + licom = 50 + neq; + + atol = new double[neq]; + com = new double[lcom]; + rtol = new double[neq]; + y = new double[neq]; + ydot = new double[neq]; + icom = new int[licom]; + + ijac = 1; + itol = 1; + rtol[0] = 0.0; + atol[0] = 1.0E-8; + ydot[0] = 0.0; + + // String length = 8 + jceval = (ijac == 1) ? "Analytic" : "Numeric "; + + // Initialize the problem, specifying that the Jacobian is to be + // evaluated analytically using the provided routine jac. + y[0] = 2.0; + hmax = 0.0; + h0 = 0.0; + t = 0.0; + tout = 0.2; + + ifail = 0; + d02mw.eval( + neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail + ); + ifail = d02mw.getIFAIL(); + + // Use the iuser array to pass whether numerical or analytic Jacobian + // is to be used. + iuser[0] = ijac; + + System.out.printf(" t "); + for (int i = 1; i <= neq; i++) { + System.out.printf(" y(%1d) ", i); + } + System.out.println(); + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + itask = 0; + + for (int j = 0; j < 5; j++) { + ifail = -1; + d02ne.eval( + neq, t, tout, y, ydot, rtol, atol, itask, res2, jac2, icom, + com, lcom, iuser, ruser, ifail + ); + itask = d02ne.getITASK(); + ifail = d02ne.getIFAIL(); + t = d02ne.getT(); + + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + if (ifail != 0) { + System.out.printf( + " ** D02NEF returned with IFAIL = %5d\n", ifail + ); + break; + } + + tout += 0.2; + d02mc.eval(icom); + + } + + System.out.println(); + System.out.printf( + " The integrator completed task, ITASK = %4d\n", itask + ); + + } + + /** + * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based + * Java index. + * + *

    Fortran array definition: + * a(dimX, *) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + + public static class RES1 extends D02NE.Abstract_D02NE_RES { + + public void eval() { + + this.R[0] = -(ALPHA * this.Y[0]) + (BETA * this.Y[1] * this.Y[2]) + - this.YDOT[0]; + this.R[1] = (ALPHA * this.Y[0]) - (BETA * this.Y[1] * this.Y[2]) + - (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[1]; + this.R[2] = (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[2]; + + } + + } + + public static class JAC1 extends D02NE.Abstract_D02NE_JAC { + + private double[] myjac1( + int neq, int ml, int mu, double t, double[] y, double[] ydot, + double[] pd, double cj + ) { + + int md, ms, pdDim1; + + pdDim1 = (2 * ml) + mu + 1; + + // Main diagonal pdfull(i,i), i=1, neq + md = mu + ml + 1; + pd[getIdx(md, 1, pdDim1)] = -ALPHA - cj; + pd[getIdx(md, 2, pdDim1)] = (-BETA * y[2]) - (2.0 * GAMMA * y[1]) + - cj; + pd[getIdx(md, 3, pdDim1)] = -cj; + + // 1 subdiagonal pdfull(i-1,i), i=2, neq + ms = md + 1; + pd[getIdx(ms, 1, pdDim1)] = ALPHA; + pd[getIdx(ms, 2, pdDim1)] = 2.0 * GAMMA * y[1]; + + // First superdiagonal pdfull(i-1,i), i=2, neq + ms = md - 1; + pd[getIdx(ms, 2, pdDim1)] = BETA * y[2]; + pd[getIdx(ms, 3, pdDim1)] = -BETA * y[1]; + + // Second superdiagonal pdfull(i-2,i), i=3, neq + ms = md - 2; + pd[getIdx(ms, 3, pdDim1)] = BETA * y[1]; + + return pd; + + } + + public void eval() { + D02NEZ d02nez = new D02NEZ(); + int ijac, ml, mu; + + ml = this.IUSER[0]; + mu = this.IUSER[1]; + ijac = this.IUSER[2]; + + if (ijac == 1) { + myjac1( + this.NEQ, ml, mu, this.T, this.Y, this.YDOT, this.PD, + this.CJ + ); + } + else { + d02nez.eval( + this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, + this.IUSER, this.RUSER + ); + } + + } + + } + + public static class RES2 extends D02NE.Abstract_D02NE_RES { + + public void eval() { + this.R[0] = 4.0 - Math.pow(this.Y[0], 2.0) + + (this.T * 0.1E0 * Math.exp(this.Y[0])); + } + + } + + public static class JAC2 extends D02NE.Abstract_D02NE_JAC { + + private void myjac2( + int neq, double t, double[] y, double[] ydot, double[] pd, + double cj + ) { + + pd[0] = -(2.0 * y[0]) + (0.1E0 * t * y[0] * Math.exp(y[0])); + + } + + public void eval() { + D02NEZ d02nez = new D02NEZ(); + int ijac; + + ijac = this.IUSER[0]; + + if (ijac == 1) { + myjac2(this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ); + } + else { + d02nez.eval( + this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, + this.IUSER, this.RUSER + ); + } + + } + + } + +} diff --git a/simple_examples/source/int32/D02TLJE.java b/simple_examples/source/int32/D02TLJE.java new file mode 100644 index 0000000..601b3ce --- /dev/null +++ b/simple_examples/source/int32/D02TLJE.java @@ -0,0 +1,290 @@ +import com.nag.routines.D02.D02TL; +import com.nag.routines.D02.D02TV; +import com.nag.routines.D02.D02TX; +import com.nag.routines.D02.D02TY; +import com.nag.routines.D02.D02TZ; +import java.util.Arrays; + +/** + * D02TL example program text. + * @author joed + */ +public class D02TLJE { + + public static final int MMAX = 3, NEQ = 3, NLBC = 3, NRBC = 3; + + public static double omega, sqrofr; + public static int[] m = {1, 3, 2}; + + public static FFUN ffun = new FFUN(); + public static FJAC fjac = new FJAC(); + public static GAFUN gafun = new GAFUN(); + public static GAJAC gajac = new GAJAC(); + public static GBFUN gbfun = new GBFUN(); + public static GBJAC gbjac = new GBJAC(); + public static GUESS guess = new GUESS(); + + public static void main(String[] args) { + + D02TL d02tl = new D02TL(); + D02TV d02tv = new D02TV(); + D02TX d02tx = new D02TX(); + D02TY d02ty = new D02TY(); + D02TZ d02tz = new D02TZ(); + double dx, ermx, r; + int iermx, ifail, ijermx, licomm, lrcomm, mxmesh, ncol, ncont, + nmesh; + double[] mesh, rcomm, tol, y, ruser = new double[1]; + int[] icomm, ipmesh, iuser = new int[2]; + + System.out.println(" D02TLJ Example Program Results"); + System.out.println(); + + ncol = 7; + nmesh = 11; + mxmesh = 51; + + mesh = new double[mxmesh]; + tol = new double[NEQ]; + y = new double[NEQ * MMAX]; + ipmesh = new int[mxmesh]; + + omega = 1.0; + Arrays.fill(tol, 1.0E-4); + + dx = 1.0 / ((double) nmesh - 1); + + mesh[0] = 0.0; + for (int i = 1; i < nmesh - 1; i++) { + mesh[i] = mesh[i - 1] + dx; + } + mesh[nmesh - 1] = 1.0; + + ipmesh[0] = 1; + Arrays.fill(ipmesh, 1, nmesh - 1, 2); + ipmesh[nmesh - 1] = 1; + + // Workspace query to get size of rcomm and icomm + ifail = 0; + d02tv.eval( + NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, ruser, + 0, iuser, 2, ifail + ); + ifail = d02tv.getIFAIL(); + lrcomm = iuser[0]; + licomm = iuser[1]; + rcomm = new double[lrcomm]; + icomm = new int[licomm]; + + // Initialise integrator for given problem + ifail = 0; + d02tv.eval( + NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, rcomm, + lrcomm, icomm, licomm, ifail + ); + ifail = d02tv.getIFAIL(); + + ncont = 3; + r = 1.0E6; + + sqrofr = Math.sqrt(r); + + ermx = 0.0; + iermx = 0; + ijermx = 0; + + for (int j = 0; j < ncont; j++) { + System.out.printf("\n Tolerance = %8.1E R = %10.3E\n", tol[0], r); + + // Solve problem + ifail = -1; + d02tl.eval( + ffun, fjac, gafun, gbfun, gajac, gbjac, guess, rcomm, icomm, + iuser, ruser, ifail + ); + ifail = d02tl.getIFAIL(); + if (ifail != 0) { + System.err.println("D02TL failed with error code " + ifail); + } + + // Extract mesh + ifail = -1; + d02tz.eval( + mxmesh, nmesh, mesh, ipmesh, ermx, iermx, ijermx, rcomm, icomm, + ifail + ); + nmesh = d02tz.getNMESH(); + iermx = d02tz.getIERMX(); + ijermx = d02tz.getIJERMX(); + ermx = d02tz.getERMX(); + ifail = d02tz.getIFAIL(); + if (ifail == 1) { + break; + } + + // Print mesh, error stats + System.out.printf( + "\n" + + " Used a mesh of %4d points\n" + + " Maximum error = %10.2E in interval %4d for component %4d\n" + + "\n", + nmesh, ermx, iermx, ijermx + ); + System.out.printf("\n Mesh points:\n"); + for (int i = 0; i < nmesh; i++) { + System.out.printf("%4d(%1d)%10.3E", i+1, ipmesh[i], mesh[i]); + if ((i+1) % 4 == 0) { + System.out.printf("\n"); + } + } + System.out.printf("\n"); + + // Print solution components on mesh + System.out.printf("\n x f f\' g\n"); + for (int i = 0; i < nmesh; i++) { + ifail = 0; + d02ty.eval(mesh[i], y, NEQ, MMAX, rcomm, icomm, ifail); + ifail = d02ty.getIFAIL(); + System.out.printf( + " %8.3f %9.4f%9.4f%9.4f\n", mesh[i], y[getIdx(1, 0, NEQ)], + y[getIdx(2, 0, NEQ)], y[getIdx(3, 0, NEQ)] + ); + } + + if (j == ncont - 1) { + break; + } + + // Modify continuation parameter + r = 100.0 * r; + sqrofr = Math.sqrt(r); + + // Select mesh for continuation + Arrays.fill(ipmesh, 1, nmesh - 1, 2); + + // Call continuation primer routine + ifail = 0; + d02tx.eval(mxmesh, nmesh, mesh, ipmesh, rcomm, icomm, ifail); + mxmesh = d02tx.getMXMESH(); + nmesh = d02tx.getNMESH(); + ifail = d02tx.getIFAIL(); + + } + + } + + /** + * Converts a 2D Fortran index to the 1D index for its corresponding Java + * array. Assumes y is already zero-based. + * + *

    Fortran array definition: + * a(dimX, 0:*) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return (y * dimX) + (x-1); + } + + /** + * Converts a 3D Fortran index to the 1D index for its corresponding Java + * array. Assumes z is already zero-based. + * + *

    Fortran array definition: + * a(dimX, dimY, 0:*) + * + *

    Conversion: + * a(x, y, z) --> A[result] + */ + private static int getIdx(int x, int y, int z, int dimX, int dimY) { + return (z * dimY * dimX) + ((y-1) * dimX) + (x-1); + } + + public static class FFUN extends D02TL.Abstract_D02TL_FFUN { + + public void eval() { + F[0] = Y[getIdx(2, 0, NEQ)]; + F[1] = -((Y[getIdx(1, 0, NEQ)] * Y[getIdx(2, 2, NEQ)]) + + (Y[getIdx(3, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; + F[2] = ((Y[getIdx(2, 0, NEQ)] * Y[getIdx(3, 0, NEQ)]) + - (Y[getIdx(1, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; + } + + } + + public static class FJAC extends D02TL.Abstract_D02TL_FJAC { + + public void eval() { + DFDY[getIdx(1, 2, 0, NEQ, NEQ)] = 1.0; + DFDY[getIdx(2, 1, 0, NEQ, NEQ)] = -Y[getIdx(2, 2, NEQ)] * sqrofr; + DFDY[getIdx(2, 2, 2, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; + DFDY[getIdx(2, 3, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; + DFDY[getIdx(2, 3, 1, NEQ, NEQ)] = -Y[getIdx(3, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 1, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; + DFDY[getIdx(3, 2, 0, NEQ, NEQ)] = Y[getIdx(3, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 3, 0, NEQ, NEQ)] = Y[getIdx(2, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 3, 1, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; + } + + } + + public static class GAFUN extends D02TL.Abstract_D02TL_GAFUN { + + public void eval() { + GA[0] = YA[getIdx(1, 0, NEQ)]; + GA[1] = YA[getIdx(2, 0, NEQ)]; + GA[2] = YA[getIdx(3, 0, NEQ)] - omega; + } + + } + + public static class GBFUN extends D02TL.Abstract_D02TL_GBFUN { + + public void eval() { + GB[0] = YB[getIdx(1, 0, NEQ)]; + GB[1] = YB[getIdx(2, 0, NEQ)]; + GB[2] = YB[getIdx(3, 0, NEQ)] + omega; + } + + } + + public static class GAJAC extends D02TL.Abstract_D02TL_GAJAC { + + public void eval() { + DGADY[getIdx(1, 1, 0, NLBC, NEQ)] = 1.0; + DGADY[getIdx(2, 2, 0, NLBC, NEQ)] = 1.0; + DGADY[getIdx(3, 3, 0, NLBC, NEQ)] = 1.0; + } + + } + + public static class GBJAC extends D02TL.Abstract_D02TL_GBJAC { + + public void eval() { + DGBDY[getIdx(1, 1, 0, NRBC, NEQ)] = 1.0; + DGBDY[getIdx(2, 2, 0, NRBC, NEQ)] = 1.0; + DGBDY[getIdx(3, 3, 0, NRBC, NEQ)] = 1.0; + } + + } + + public static class GUESS extends D02TL.Abstract_D02TL_GUESS { + + public void eval() { + Y[getIdx(1, 0, NEQ)] = -(X - 0.5) * Math.pow(X * (X - 1.0), 2.0); + Y[getIdx(2, 0, NEQ)] = -X * (X - 1.0) + * (5.0 * X * (X - 1.0) + 1.0); + Y[getIdx(2, 1, NEQ)] = -(2.0 * X - 1.0) + * (10.0 * X * (X - 1.0) + 1.0); + Y[getIdx(2, 2, NEQ)] = -12.0 * (5.0 * X * (X - 1.0) + 1.0); + Y[getIdx(3, 0, NEQ)] = -8.0 * omega * Math.pow(X - 0.5, 3.0); + Y[getIdx(3, 1, NEQ)] = -24.0 * omega * Math.pow(X - 0.5, 2.0); + DYM[0] = Y[getIdx(2, 0, NEQ)]; + DYM[1] = -120.0 * (X - 0.5); + DYM[2] = -56.0 * omega * (X - 0.5); + } + + } + +} diff --git a/simple_examples/source/int32/D03PCJE.java b/simple_examples/source/int32/D03PCJE.java new file mode 100644 index 0000000..4901e2e --- /dev/null +++ b/simple_examples/source/int32/D03PCJE.java @@ -0,0 +1,217 @@ +import com.nag.routines.D03.D03PC; +import com.nag.routines.D03.D03PZ; +import com.nag.routines.X01.X01AA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.lang.StringBuilder; + +/** + * D03PCJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class D03PCJE{ + + /** + * D03PCJE main program + */ + public static void main(String[] args){ + int ifail, ind, intpts = 0, it, itask, itrace = 0, itype = 0, lisave, lrsave, m = 0, neqn, npts = 0, nwk, npde = 2; + double hx, pi, piby2, tout = 0, ts = 0, acc = 0, alpha = 0; + int[] isave, iuser, iwsav; + double[] rsave, u, uout, x, xout, ruser, rwsav; + boolean[] lwsav; + String[] cwsav; + + xout = new double[0]; // placeholders + ruser = new double[1]; + rwsav = new double[1100]; + iuser = new int[1]; + iwsav = new int[505]; + lwsav = new boolean[100]; + cwsav = new String[10]; + + System.out.println("D03PCJ Example Program Results"); + + //Specify path to data file + if(args.length != 1){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + intpts = Integer.parseInt(sVal[0]); + npts = Integer.parseInt(sVal[1]); + itype = Integer.parseInt(sVal[2]); + + xout = new double[intpts]; + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int i = 0; i < intpts; i++){ + xout[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.split("\\s+"); + acc = Double.parseDouble(sVal[0]); + alpha = Double.parseDouble(sVal[1]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + m = Integer.parseInt(sVal[0]); + itrace = Integer.parseInt(sVal[1]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + ts = Double.parseDouble(sVal[0]); + tout = Double.parseDouble(sVal[1]); + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + neqn = npde * npts; + lisave = neqn + 24; + nwk = (10 + (6 * npde)) * neqn; + lrsave = nwk + ((21 + (3 * npde)) * npde) + (7 * npts) + 54; + + rsave = new double[lrsave]; + u = new double[npde * npts]; + uout = new double[npde * intpts * itype]; + x = new double[npts]; + isave = new int[lisave]; + ruser[0] = alpha; + ind = 0; + itask = 1; + + X01AA x01aa = new X01AA(); + pi = x01aa.eval(); + piby2 = 0.5 * pi; + hx = piby2/(double)(npts - 1); + x[0] = 0.0; + x[npts - 1] = 1.0; + for(int i = 1; i < (npts - 1); i++){ + x[i] = Math.sin(hx * (double)(i)); + } + + u = uinit(x, npts, iuser, ruser); + + //Character (80) :: cwsav(10) + //Surely a better way of doing this? + for(int i = 0; i < 10; i++){ + StringBuilder builder = new StringBuilder(""); + for(int j = 0; j < 80; j++){ + builder.append(" "); + } + cwsav[i] = builder.toString(); + } + + for(int i = 0; i <5; i++){ + tout = 10 * tout; + + ifail = 0; + pdedef pdedef1 = new pdedef(); + bndary bndary1 = new bndary(); + D03PC d03pc = new D03PC(npde, m, ts, tout, pdedef1, bndary1, u, npts, x, acc, rsave, lrsave, + isave, lisave, itask, itrace, ind, iuser, ruser, cwsav, lwsav, iwsav, + rwsav, ifail); + d03pc.eval(); + + //update ind + ind = d03pc.getIND(); + + if(i == 0){ + System.out.printf("Accuracy requirement = \t%.5e\n Parameter ALPHA = \t%.3e\n", acc, alpha); + System.out.printf("T / X "); + for(int j = 0; j < xout.length; j++){ + System.out.printf("\t%.4f", xout[j]); + } + System.out.printf("\n"); + } + System.out.println(); + + //Interpolate at required spatial points + ifail = 0; + + D03PZ d03pz = new D03PZ(npde, m, u, npts, x, xout, intpts, itype, uout, ifail); + d03pz.eval(); + + System.out.printf("%.4f \tU(1)", tout); + for(int j = 0; j < intpts; j++){ + System.out.printf("\t%.4f ", uout[j * 2]); + } + System.out.printf("\n"); + System.out.printf("\tU(2)"); + for(int j = 0; j < intpts; j++){ + System.out.printf("\t%.4f ", uout[j * 2 + 1]); + } + System.out.printf("\n"); + System.out.println(); + } + + System.out.printf("Number of Integration steps in time\t\t\t%d\n", isave[0]); + System.out.printf("Number of residual evaluations of resulting ODE system\t%d\n", isave[1]); + System.out.printf("Number of Jacobian evaluations\t\t\t\t%d\n", isave[2]); + System.out.printf("Number of iterations of nonlinear solver\t\t%d\n", isave[4]); + } + + /** + * PDE initial condition + */ + public static double[] uinit(double[] x, int npts, int[] iuser, double[] ruser){ + double alpha = ruser[0]; + double[] u = new double[2 * npts]; + for(int i = 0; i < npts; i++){ + u[2 * i] = 2 * alpha * x[i]; + u[(2 * i) + 1] = 1; + } + return u; + } + + public static class pdedef extends D03PC.Abstract_D03PC_PDEDEF{ + public void eval(){ + double alpha = this.RUSER[0]; + this.Q[0] = 4 * alpha * (this.U[1] + (this.X * this.UX[1])); + this.Q[1] = 0; + this.R[0] = this.X * this.UX[0]; + this.R[1] = this.UX[1] - (this.U[0] * this.U[1]); + this.P[0] = 0; + this.P[1] = 0; + this.P[2] = 0; + this.P[3] = 1 - (this.X * this.X); + } + } + + public static class bndary extends D03PC.Abstract_D03PC_BNDARY{ + public void eval(){ + if(this.IBND == 0){ + this.BETA[0] = 0; + this.BETA[1] = 1; + this.GAMMA[0] = this.U[0]; + this.GAMMA[1] = -this.U[0] * this.U[1]; + } + else{ + this.BETA[0] = 1; + this.BETA[1] = 0; + this.GAMMA[0] = -this.U[0]; + this.GAMMA[1] = this.U[1]; + } + } + } + +} + + + diff --git a/simple_examples/source/int32/D03RAJE.java b/simple_examples/source/int32/D03RAJE.java new file mode 100644 index 0000000..88d49aa --- /dev/null +++ b/simple_examples/source/int32/D03RAJE.java @@ -0,0 +1,307 @@ +import com.nag.routines.D03.D03RA; +import com.nag.routines.D03.D03RA.D03RA_BNDARY; +import com.nag.routines.D03.D03RA.D03RA_MONITR; +import com.nag.routines.X01.X01AA; +import com.nag.routines.X02.X02AJ; +import java.util.Arrays; + +/** + * D03RA example program text. + * @author joed + */ +public class D03RAJE { + + public static final double ALPHA = 50.0; + public static final double BETA = 300.0; + public static final double XMAX = 1.0; + public static final double XMIN = 0.0; + public static final double YMAX = 1.0; + public static final double YMIN = 0.0; + public static final int ITRACE = 0; + public static final int NPDE = 1; + + public static D03RA d03ra = new D03RA(); + public static PDEDEF pdedef = new PDEDEF(); + public static BNDRY bndry = new BNDRY(); + public static PDEIV pdeiv = new PDEIV(); + public static MONIT monit = new MONIT(); + public static MONITDUMMY monitDummy = new MONITDUMMY(); + + public static void main(String[] args) { + double tols, tolt, tout, ts; + int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, npde, npts, nx, ny; + double[] dt, twant, optr, rwk; + int[] wklens, iwk, opti = new int[4]; + boolean[] lwk; + + // Run examples + System.out.println(" D03RAJ Example Program Results"); + System.out.println(); + + npts = 2000; + npde = NPDE; + + dt = new double[] {0.1e-2, 0.0, 0.0}; + twant = new double[] {0.24, 0.25}; + ts = 0.0; + + ind = 10; + nx = 41; + ny = 41; + tols = 0.5; + tolt = 0.01; + Arrays.fill(opti, 0); + opti[0] = 6; + maxlev = Math.max(opti[0], 3); + + wklens = computeWkspaceLens(maxlev, npde, npts); + lenrwk = wklens[0]; + leniwk = wklens[1]; + lenlwk = wklens[2]; + rwk = new double[lenrwk]; + iwk = new int[leniwk]; + lwk = new boolean[lenlwk]; + + optr = new double[3 * npde]; + Arrays.fill(optr, 1.0); + + for (int i = 0; i < 2; i++) { + tout = twant[i]; + ifail = 0; + if (i == 0) { + // Dummy monitor used to avoid output on first call + d03ra.eval( + npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, + tolt, pdedef, bndry, pdeiv, monitDummy, opti, optr, + rwk, lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail + ); + } + else { + d03ra.eval( + npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, + tolt, pdedef, bndry, pdeiv, monit, opti, optr, rwk, + lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail + ); + } + + ind = d03ra.getIND(); + ifail = d03ra.getIFAIL(); + ts = d03ra.getTS(); + + printStatistics(ts, iwk, maxlev); + + } + + } + + public static class PDEIV extends D03RA.Abstract_D03RA_PDEIV { + + public void eval() { + Arrays.fill(this.U, 1.0); + } + + } + + public static class PDEDEF extends D03RA.Abstract_D03RA_PDEDEF { + + private static final double ACTIV_ENERGY = 20.0; + private static final double DIFFUSION = 0.1; + private static final double HEAT_RELEASE = 1.0; + private static final double REACTION_RATE = 5.0; + + public void eval() { + + double damkohler; + + damkohler = REACTION_RATE * Math.exp(ACTIV_ENERGY) + / (HEAT_RELEASE * ACTIV_ENERGY); + + for (int col = 0; col < this.NPDE; col++) { + for (int row = 0; row < this.NPTS; row++) { + int idx = (col * this.NPTS) + row; + this.RES[idx] = this.UT[idx] + - (DIFFUSION * (this.UXX[idx] + this.UYY[idx])) + - (damkohler + * (1.0e0 + HEAT_RELEASE - this.U[idx]) + * Math.exp(-ACTIV_ENERGY / this.U[idx])); + } + } + + } + + } + + public static class BNDRY extends D03RA.Abstract_D03RA_BNDARY { + + public void eval() { + X02AJ x02aj = new X02AJ(); + double tol; + + // X02AJ returns machine precision + tol = 10.0 * x02aj.eval(); + + for (int i = 0; i < this.NBPTS; i++) { + int j = this.LBND[i] - 1; + + if (Math.abs(this.X[j]) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.UX[idx]; + } + } + else if (Math.abs(this.X[j] - 1.0) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.U[idx] - 1.0; + } + } + else if (Math.abs(this.Y[j]) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.UY[idx]; + } + } + else if (Math.abs(this.Y[j] - 1.0) <= tol) { + for (int col = 0; col < this.NPDE; col++) { + int idx = (col * this.NPTS) + j; + this.RES[idx] = this.U[idx] - 1.0; + } + } + } + + } + + } + + public static class MONIT extends D03RA.Abstract_D03RA_MONITR { + + public void eval() { + int ipsol, k, level, npts; + + if (TLAST) { + // Print solution + level = this.NLEV - 1; + npts = this.NGPTS[level]; + ipsol = this.LSOL[level]; + k = 0; + for (int i = 0; i < level; i++) { + k += this.NGPTS[i]; + } + + System.out.printf( + " Solution at every 4th grid point in level%10d" + + " at time %8.4f:%n%n", this.NLEV, this.T + ); + System.out.println( + " x y approx u\n" + ); + for (int i = 0; i < npts; i += 4) { + double ix = this.XPTS[k + i]; + double iy = this.YPTS[k + i]; + double isol = this.SOL[ipsol + i]; + System.out.printf( + " %11.4E %11.3E %11.3E%n", + ix, iy, isol + ); + } + System.out.println(); + + } + + } + + } + + public static class MONITDUMMY extends D03RA.Abstract_D03RA_MONITR { + + public void eval() { + return; + } + + } + + public static int[] computeWkspaceLens(int maxlev, int npde, int maxpts) { + int lenrwk, leniwk, lenlwk; + + lenrwk = (2 * maxpts * npde * ((5 * maxlev) + (18 * npde) + 9)) + + (2 * maxpts); + leniwk = (2 * maxpts * (14 + (5 * maxlev))) + + (7 * maxlev) + 2; + lenlwk = (2 * maxpts) + 400; + + return new int[] {lenrwk, leniwk, lenlwk}; + + } + + public static void printStatistics(double ts, int[] iwk, int maxlev) { + int[] istats = new int[4]; + + System.out.printf(" Statistics:%n"); + System.out.printf(" Time = %8.4f%n", ts); + System.out.printf( + " Total number of accepted timesteps =%5d%n", iwk[0] + ); + System.out.printf( + " Total number of rejected timesteps =%5d%n", iwk[1] + ); + System.out.printf( + "%n" + + " Total number (rounded) of%n" + + " Residual Jacobian Newton Lin sys%n" + + " evals evals iters iters%n" + + " At level %n" + ); + + for (int j = 0; j < maxlev; j++) { + if (iwk[j + 2] != 0) { + int idx = 0; + for (int i = j+2; i <= j+2+(3*maxlev); i += maxlev) { + istats[idx++] = iwk[i]; + } + istats = roundStatisics(istats); + System.out.printf("%8d", j + 1); + for (int i = 0; i < 4; i++) { + System.out.printf("%10d", istats[i]); + } + System.out.printf("%n"); + } + } + + System.out.printf( + "%n" + + " Maximum number of %n" + + " Newton iters Lin sys iters %n" + + " At level %n" + ); + + for (int j = 0; j < maxlev; j++) { + if (iwk[j+2] != 0) { + System.out.printf("%8d", j+1); + System.out.printf("%14d", iwk[j+2+(4*maxlev)]); + System.out.printf("%14d", iwk[j+2+(5*maxlev)]); + System.out.printf("%n"); + } + } + System.out.println(); + + } + + public static int[] roundStatisics(int[] istat) { + double lt; + int k; + + lt = Math.log(10.0); + for (int i = 0; i < istat.length; i++) { + // istat = 0 leads to div by 0 error, doesn't need rounding anyway + if (istat[i] != 0) { + k = (int) (Math.log((double) istat[i]) / lt); + k = (int) Math.pow(10, k); + istat[i] = k * ((istat[i] + k/2)/k); + } + } + + return istat; + + } + +} diff --git a/simple_examples/source/int32/D03RBJE.java b/simple_examples/source/int32/D03RBJE.java new file mode 100644 index 0000000..9b1b482 --- /dev/null +++ b/simple_examples/source/int32/D03RBJE.java @@ -0,0 +1,388 @@ +import com.nag.routines.D03.D03RB; +import com.nag.routines.D03.D03RZ; +import java.util.Arrays; + +/** + * D03RB example program text. + * @author joed + */ +public class D03RBJE { + + public static final int ITRACE = -1; + public static final int NPDE = 2; + public static final double[] TWANT = {0.25, 1.0}; + + public static boolean do_monitr; + public static int print_stats = 0; + + public static BNDARY bndary = new BNDARY(); + public static INIDOM inidom = new INIDOM(); + public static MONITR monitr = new MONITR(); + public static PDEDEF pdedef = new PDEDEF(); + public static PDEIV pdeiv = new PDEIV(); + + public static void main(String[] args) { + D03RB d03rb = new D03RB(); + double tols, tolt, tout, ts; + int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, mxlev, npts; + boolean[] lwk; + double[] optr, rwk, dt = new double[3]; + int[] iwk, opti = new int[4]; + + System.out.println(" D03RBJ Example Program Results"); + + npts = 3000; + mxlev = 7; + + leniwk = 10 * npts * (5 * mxlev + 14) + 2 + 7 * mxlev; + lenlwk = 20 * npts; + lenrwk = 20 * (npts * NPDE * (5 * mxlev + 9 + 18 * NPDE) + 2 * npts); + + rwk = new double[lenrwk]; + iwk = new int[leniwk]; + lwk = new boolean[lenlwk]; + optr = new double[3 * NPDE]; + + // Specify that we are starting the integration in time + // (ind = 0 normally). + ind = 10; + + ts = 0.0; + dt[0] = 0.001; + dt[1] = 1.0E-7; + dt[2] = 0.0; + tols = 0.1; + tolt = 0.05; + opti[0] = mxlev; + maxlev = opti[0]; + Arrays.fill(opti, 1, 4, 0); + Arrays.fill(optr, 1.0); + + // Call main routine + for (int iout = 1; iout <= 2; iout++) { + do_monitr = (iout == 2); + tout = TWANT[iout - 1]; + + ifail = 0; + d03rb.eval( + NPDE, ts, tout, dt, tols, tolt, inidom, pdedef, bndary, pdeiv, + monitr, opti, optr, rwk, lenrwk, iwk, leniwk, lwk, lenlwk, + ITRACE, ind, ifail + ); + ind = d03rb.getIND(); + ifail = d03rb.getIFAIL(); + ts = d03rb.getTS(); + + if (print_stats != 0) { + System.out.printf(" Statistics:\n"); + System.out.printf(" Time = %8.4f\n", ts); + System.out.printf( + " Total number of accepted timesteps =%5d\n", iwk[0] + ); + System.out.printf( + " Total number of rejected timesteps =%5d\n", iwk[1] + ); + System.out.println( + " Total number of " + + " maximum number of " + ); + System.out.println( + " Residual Jacobian Newton Newton " + ); + System.out.println( + " evals evals iters iters " + ); + System.out.println(" Level "); + + maxlev = opti[0]; + for (int j = 0; j < maxlev; j++) { + if (iwk[j+2] != 0) { + System.out.printf( + "%4d%10d%10d%10d%10d\n", + j+1, + iwk[j + 2 + 0*maxlev], + iwk[j + 2 + 1*maxlev], + iwk[j + 2 + 2*maxlev], + iwk[j + 2 + 4*maxlev] + ); + } + } + System.out.println(); + + } + + } + + } + + public static class PDEIV extends D03RB.Abstract_D03RB_PDEIV { + + public void eval(int NPTS, int NPDE, double T, double[] X, double[] Y, double[] U) { + this.setNPTS(NPTS); + this.setNPDE(NPDE); + this.setT(T); + this.setX(X); + this.setY(Y); + this.setU(U); + this.eval(); + } + + public void eval() { + double eps = 0.001, a; + + for (int i = 1; i <= this.NPTS; i++) { + a = (4.0 * (this.Y[i-1] - this.X[i-1]) - this.T) / (32.0 * eps); + if (a <= 0.0) { + this.U[getIdx(i, 1, this.NPTS)] + = 0.75 - 0.25 / (1.0 + Math.exp(a)); + this.U[getIdx(i, 2, this.NPTS)] + = 0.75 + 0.25 / (1.0 + Math.exp(a)); + } + else { + a = -a; + this.U[getIdx(i, 1, this.NPTS)] + = 0.75 - 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); + this.U[getIdx(i, 2, this.NPTS)] + = 0.75 + 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); + } + } + + } + + } + + public static class INIDOM extends D03RB.Abstract_D03RB_INIDOM { + + public void eval() { + int ifail, leniwk; + int[] icold, ilbndd, irowd, lbndd, llbndd, lrowd; + int[] iwk = new int[122]; + String[] pgrid = new String[11]; + + for (int i = 0; i < 11; i++) { + pgrid[i] = " "; + } + + icold = new int[]{ + 0,1,2,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5, + 6,7,8,9,10,0,1,2,3,4,5,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4, + 5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,0,1,2,3,4, + 5,6,7,8,0,1,2,3,4,5,6,7,8 + }; + + ilbndd = new int[]{ + 1,2,3,4,1,4,1,2,3,4,3,4,1,2,12,23,34,41,14,41,12,23,34,41,43,14, + 21,32 + }; + + irowd = new int[]{0,1,2,3,4,5,6,7,8,9,10}; + + lbndd = new int[]{ + 2,4,15,26,37,46,57,68,79,88,98,99,100,101,102,103,104,96,86,85, + 84,83,82,70,59,48,39,28,17,6,8,9,10,11,12,13,18,29,40,49,60,72, + 73,74,75,76,77,67,56,45,36,25,33,32,42,52,53,43,1,97,105,87,81, + 3,7,71,78,14,31,51,54,34 + }; + + llbndd = new int[]{ + 1,2,11,18,19,24,31,37,42,48,53,55,56,58,59,60,61,62,63,64,65,66, + 67,68,69,70,71,72 + }; + + lrowd = new int[]{1,4,15,26,37,46,57,68,79,88,97}; + + this.NX = 11; + this.NY = 11; + + // Check MAXPTS against rough estimate of NPTS. + this.NPTS = this.NX * this.NY; + if (this.MAXPTS < this.NPTS) { + this.IERR = -1; + return; + } + + this.XMIN = 0.0; + this.YMIN = 0.0; + this.XMAX = 1.0; + this.YMAX = 1.0; + + this.NROWS = 11; + this.NPTS = 105; + this.NBNDS = 28; + this.NBPTS = 72; + + for (int i = 0; i < this.NROWS; i++) { + this.LROW[i] = lrowd[i]; + this.IROW[i] = irowd[i]; + } + + for (int i = 0; i < this.NBNDS; i++) { + this.LLBND[i] = llbndd[i]; + this.ILBND[i] = ilbndd[i]; + } + + for (int i = 0; i < this.NBPTS; i++) { + this.LBND[i] = lbndd[i]; + } + + for (int i = 0; i < this.NPTS; i++) { + this.ICOL[i] = icold[i]; + } + + } + + } + + public static class PDEDEF extends D03RB.Abstract_D03RB_PDEDEF { + + public void eval() { + + double eps = 1E-3; + int n = this.NPTS; // For concise getIdx calls + + for (int i = 1; i <= n; i++) { + this.RES[getIdx(i, 1, n)] + = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 1, n)] + - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 1, n)] + + eps * (this.UXX[getIdx(i, 1, n)] + + this.UYY[getIdx(i, 1, n)]); + this.RES[getIdx(i, 2, n)] + = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 2, n)] + - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 2, n)] + + eps * (this.UXX[getIdx(i, 2, n)] + + this.UYY[getIdx(i, 2, n)]); + this.RES[getIdx(i, 1, n)] + = this.UT[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; + this.RES[getIdx(i, 2, n)] + = this.UT[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; + } + + } + + } + + public static class BNDARY extends D03RB.Abstract_D03RB_BNDARY { + + public void eval() { + + double a, eps = 1E-3; + int i, n = this.NPTS; + + for (int k = this.LLBND[0]; k <= this.NBPTS; k++) { + i = this.LBND[k - 1]; + a = (-4.0 * this.X[i - 1] + 4.0 * this.Y[i - 1] - this.T) + / (32.0 * eps); + + if (a <= 0.0) { + this.RES[getIdx(i, 1, n)] + = 0.75 - 0.25 / (1.0 + Math.exp(a)); + this.RES[getIdx(i, 2, n)] + = 0.75 + 0.25 / (1.0 + Math.exp(a)); + } + else { + a = -a; + this.RES[getIdx(i, 1, n)] + = 0.75 - (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); + this.RES[getIdx(i, 2, n)] + = 0.75 + (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); + } + + this.RES[getIdx(i, 1, n)] + = this.U[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; + this.RES[getIdx(i, 2, n)] + = this.U[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; + + } + + } + + } + + public static class MONITR extends D03RB.Abstract_D03RB_MONITR { + + public void eval() { + + D03RZ d03rz = new D03RZ(); + double aprxU, exctU, aprxV, exctV; + int maxpts = 6000; + int ifail, ipsol, npts; + double[] uex = new double[105*2], x = new double[maxpts], + y = new double[maxpts]; + + for (int level = 0; level < this.NLEV; level++) { + + if (!this.TLAST) { + break; + } + + ipsol = this.LSOL[level]; + + // Get grid information + ifail = -1; + npts = 0; + d03rz.eval( + level + 1, this.NLEV, this.XMIN, this.YMIN, this.DXB, + this.DYB, this.LGRID, this.ISTRUC, npts, x, y, maxpts, + ifail + ); + ifail = d03rz.getIFAIL(); + npts = d03rz.getNPTS(); + + if (ifail != 0) { + this.IERR = 1; + break; + } + + // Skip printing? + if (!do_monitr || (level != 0)) { + continue; + } + + // Get exact solution + pdeiv.eval(npts, this.NPDE, this.T, x, y, uex); + + System.out.println(); + System.out.printf( + " Solution at every 2nd grid point in level %d at" + + " time %8.4f:\n\n", level + 1, this.T + ); + System.out.print( + " x y approx u exact u approx v" + + " exact v\n\n" + ); + + ipsol = this.LSOL[level]; + + for (int i = 0; i < npts; i += 2) { + aprxU = this.SOL[ipsol + i]; + exctU = uex[getIdx(i+1, 1, npts)]; + aprxV = this.SOL[ipsol + npts + i]; + exctV = uex[getIdx(i+1, 2, npts)]; + System.out.printf( + " %9.2f %9.2f %9.2f %9.2f %9.2f %9.2f\n", + x[i], y[i], aprxU, exctU, aprxV, exctV + ); + } + System.out.println(); + + } + + } + + } + + /** + * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based + * Java index. + * + *

    Fortran array definition: + * a(dimX, *) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + +} diff --git a/simple_examples/source/int32/D05BAJE.java b/simple_examples/source/int32/D05BAJE.java new file mode 100644 index 0000000..7a8caf7 --- /dev/null +++ b/simple_examples/source/int32/D05BAJE.java @@ -0,0 +1,111 @@ +import com.nag.routines.D05.D05BA; +import com.nag.routines.X02.X02AJ; + +/** + * D05BAJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class D05BAJE{ + + /** + * D05BAJE main program + */ + public static void main(String[] args){ + double alim, h, hi, si, thresh, tlim, tol; + int ifail, iorder, lwk, nmesh = 6; + String method; + double[] errest, yn, work; + + errest = new double[nmesh]; + yn = new double[nmesh]; + + System.out.println("D05BAJ Example Program Results"); + + method = "A"; + iorder = 6; + alim = 0; + tlim = 20; + h = (tlim - alim) / (double) nmesh; + tol = 0.001; + X02AJ x02aj = new X02AJ(); + thresh = x02aj.eval(); + lwk = 10 * nmesh + 6; + work = new double[lwk]; + + //Loop until the supplied workspace is big enough + //breakflag used to exit loop + boolean breakflag = false; + while(true){ + ifail = 1; + + ck ck1 = new ck(); + cf cf1 = new cf(); + cg cg1 = new cg(); + + D05BA d05ba = new D05BA(ck1, cg1, cf1, method, iorder, alim, tlim, yn, errest, nmesh, + tol, thresh, work, lwk, ifail); + d05ba.eval(); + + //update + ifail = d05ba.getIFAIL(); + lwk = d05ba.getLWK(); + work = d05ba.getWORK(); + + switch(ifail){ + case 5: + lwk = (int) work[0]; + work = new double[lwk]; + break; + case 6: + lwk = (int) work[0]; + work = new double[lwk]; + break; + default: + breakflag = true; + } + + if(breakflag == true){ + break; + } + } + + if(ifail != 0){ + System.out.printf("D05BAJ exited with IFAIL = %d\n", ifail); + } + + System.out.println(); + System.out.printf("Size of workplace = %d\n", lwk); + System.out.printf("Tolerance = %.4e\n", tol); + System.out.println(); + System.out.print("T\tApprox. Sol.\tTrue Sol.\tEst. Error\tActual Error\n"); + for(int i = 0; i < nmesh; i++){ + hi = (double) (i + 1) * h; + si = sol(hi); + System.out.printf("%.2f\t%.5f\t\t%.5f\t\t%.5e\t%.5e\n", (alim + hi), yn[i], si, errest[i], Math.abs((yn[i] - si) / si)); + } + } + + private static double sol(double t){ + return Math.log(t + Math.exp(1)); + } + + public static class ck extends D05BA.Abstract_D05BA_CK{ + public double eval(){ + return Math.exp(-this.T); + } + } + + public static class cf extends D05BA.Abstract_D05BA_CF{ + public double eval(){ + return Math.exp(-this.T); + } + } + + public static class cg extends D05BA.Abstract_D05BA_CG{ + public double eval(){ + return (this.Y + Math.exp(-this.Y)); + } + } +} + diff --git a/simple_examples/source/int32/D05BEJE.java b/simple_examples/source/int32/D05BEJE.java new file mode 100644 index 0000000..f98bea3 --- /dev/null +++ b/simple_examples/source/int32/D05BEJE.java @@ -0,0 +1,185 @@ +import com.nag.routines.D05.D05BE; +import com.nag.routines.X01.X01AA; +import com.nag.routines.X02.X02AJ; + +/** + * D05BEJ example program text. + * @author willa + */ +public class D05BEJE{ + + private static final int iorder = 4; + private static final int nmesh = (int)(Math.pow(2, 6) + (2 * iorder) - 1); + private static final int nout = 6; + private static final int lct = nmesh / 32 + 1; + private static final int lwk = ((2 * iorder) + 6) * nmesh + (8 * iorder * iorder) - (16 * iorder) + 1; + + public static void main(String[] args){ + double err, errmax, h, hi1, soln = 0, t = 0, tlim, tolnl; + int ifail; + double[] work, yn; + int[] nct; + + work = new double[lwk]; + yn = new double[nmesh]; + nct = new int[lct]; + + System.out.println("D05BEJ Example Program Results"); + + X02AJ x02aj = new X02AJ(); + tlim = 7; + tolnl = Math.sqrt(x02aj.eval()); + h = tlim /(double) (nmesh - 1); + yn[0] = 0; + + ifail = 0; + + D05BE d05be = new D05BE(); + ck1 k1 = new ck1(); + cf1 f1 = new cf1(); + cg1 g1 = new cg1(); + d05be.eval(k1, f1, g1, "Initial", iorder, tlim, tolnl, nmesh, yn, work, lwk, nct, ifail); + + //UPDATE + yn = d05be.getYN(); + + System.out.println(); + System.out.println("Example 1"); + System.out.println(); + System.out.printf("The stepsize h = %.4f\n", h); + System.out.println(); + System.out.println("\tT\tApproximate"); + System.out.println("\t\tSolution"); + System.out.println(); + + errmax = 0; + + for(int i = 1; i < nmesh; i++){ + hi1 = (double) i * h; + err = Math.abs(yn[i] - sol1(hi1)); + + if(err > errmax){ + errmax = err; + t = hi1; + soln = yn[i]; + } + + if((i > 4) && (i % 5 == 0)){ + System.out.printf("\t%.4f\t%.4f\n", hi1, yn[i]); + } + } + + System.out.println(); + System.out.printf("The maximum absolute error, %.2e, occured at T = %.4f with solution %.4f\n", errmax, t, soln); + System.out.println(); + + tlim = 5; + h = tlim /(double) (nmesh - 1); + yn[0] = 1; + + ifail = 0; + + ck2 k2 = new ck2(); + cf2 f2 = new cf2(); + cg2 g2 = new cg2(); + d05be.eval(k2, f2, g2, "Subsequent", iorder, tlim, tolnl, nmesh, yn, work, lwk, nct, ifail); + + //UPDATE + yn = d05be.getYN(); + + System.out.println(); + System.out.println("Example 2"); + System.out.println(); + System.out.printf("The stepsize h = %.4f\n", h); + System.out.println(); + System.out.println("\tT\tApproximate"); + System.out.println("\t\tSolution"); + System.out.println(); + + errmax = 0; + + for(int i = 0; i < nmesh; i++){ + hi1 = (double) i * h; + err = Math.abs(yn[i] - sol2(hi1)); + if(err > errmax){ + errmax = err; + t = hi1; + soln = yn[i]; + } + + if((i > 6) && (i % 7 == 0)){ + System.out.printf("\t%.4f\t%.4f\n", hi1, yn[i]); + } + } + + System.out.println(); + System.out.printf("The maximum absolute error, %.2e, occured at T = %.4f with solution %.4f\n", errmax, t, soln); + } + + private static double sol1(double t){ + double c, pi, t1, x = 0; + + //x is dummy variable + X01AA x01aa = new X01AA(x); + pi = x01aa.eval(); + + t1 = 1 + t; + c = 1 / Math.sqrt(2 * pi); + + return (c * (1 / Math.pow(t, 1.5)) * Math.exp((-t1 * t1) / (2 * t))); + } + + private static double sol2(double t){ + return (1 / (1 + t)); + } + + private static class ck1 extends D05BE.Abstract_D05BE_CK{ + public double eval(){ + return (Math.exp(-0.5 * this.T)); + } + } + + private static class ck2 extends D05BE.Abstract_D05BE_CK{ + double pi, x = 0; + + public double eval(){ + X01AA x01aa = new X01AA(x); + pi = x01aa.eval(); + return Math.sqrt(pi); + } + } + + private static class cf1 extends D05BE.Abstract_D05BE_CF{ + double a, pi, t1, x = 0; + + public double eval(){ + X01AA x01aa = new X01AA(x); + pi = x01aa.eval(); + + t1 = 1 + this.T; + a = 1 / Math.sqrt(pi * this.T); + return (-a * Math.exp((-0.5 * t1 * t1) / this.T)); + } + } + + private static class cf2 extends D05BE.Abstract_D05BE_CF{ + double st1; + + public double eval(){ + st1 = Math.sqrt(1 + this.T); + return ((-2 * Math.log(st1 + Math.sqrt(this.T))) / st1); + } + } + + private static class cg1 extends D05BE.Abstract_D05BE_CG{ + public double eval(){ + return this.Y; + } + } + + private static class cg2 extends D05BE.Abstract_D05BE_CG{ + public double eval(){ + return this.Y; + } + } +} diff --git a/simple_examples/source/int32/DTFSMJE.java b/simple_examples/source/int32/DTFSMJE.java new file mode 100644 index 0000000..a88b114 --- /dev/null +++ b/simple_examples/source/int32/DTFSMJE.java @@ -0,0 +1,54 @@ +import com.nag.routines.F01.DTRTTF; +import com.nag.routines.F06.DTFSM; +import com.nag.routines.X04.X04CA; + +/** + * DTFSM example program text. Adapted from f06wbfe.f90 + * @author joed + */ +public class DTFSMJE { + + public static void main(String[] args) { + + double alpha = 4.21; + int ifail = 0, info = 0, m = 6, n = 4; + String side = "L", trans = "N", transr = "N", uplo = "L"; + DTFSM dtfsm = new DTFSM(); + DTRTTF dtrttf = new DTRTTF(); + X04CA x04ca = new X04CA(); + + System.out.println(" DTFSMJ Example Program Results\n"); + + // Set lower triangle of matrix A + double[] a = new double[m*m]; + for (int i = 0; i < m; i++) { + for (int j = 0; j < m; j++) { + a[i*m+j] = (j >= i) ? j+1 : 0; + } + } + + // Set matrix B + double[] b = new double[] { + 3.22, 1.64, 1.87, 5.20, 1.83, -1.10, + 1.37, 1.80, 2.87, -2.99, -2.71, -0.63, + 2.31, 0.38, 2.02, -0.91, -2.81, -0.50, + 0.29, -1.52, -0.80, -3.87, -1.13, 0.81 + }; + + // Convert A to rectangular full packed storage in ar + double[] ar = new double[(m*(m+1))/2]; + info = 0; + dtrttf.eval(transr, uplo, m, a, m, ar, info); + info = dtrttf.getINFO(); + + // Perform the matrix-matrix operation + dtfsm.eval(transr, side, uplo, trans, "N", m, n, alpha, ar, b, m); + + // Print result + ifail = 0; + x04ca.eval("General", " ", m, n, b, m, "The Solution", ifail); + ifail = x04ca.getIFAIL(); + + } + +} diff --git a/simple_examples/source/int32/E01DAJE.java b/simple_examples/source/int32/E01DAJE.java new file mode 100644 index 0000000..10c008f --- /dev/null +++ b/simple_examples/source/int32/E01DAJE.java @@ -0,0 +1,182 @@ +import com.nag.routines.E01.E01DA; +import com.nag.routines.E02.E02DF; + +/** + * E01DA example program text. + */ +public class E01DAJE { + + public static void main(String[] args) { + + int mx = 7, my = 6, ifail = -1; + double[] x = new double[mx]; + double[] y = new double[my]; + double[] f = new double[mx*my]; + double[] lamda = new double[mx+4]; + double[] mu = new double[my+4]; + double[] c = new double[mx*my]; + double[] wrk = new double[(mx+6)*(my+6)]; + + int nx = 6, ny = 6, px = 0, py = 0; + double xlo = 1.0, xhi = 2.0; + double ylo = 0.0, yhi = 1.0; + + E01DA e01da = new E01DA(); + + // Input X, Y and function values on X-Y grid + x[0] = 1.00; + x[1] = 1.10; + x[2] = 1.30; + x[3] = 1.50; + x[4] = 1.60; + x[5] = 1.80; + x[6] = 2.00; + + y[0] = 0.00; + y[1] = 0.10; + y[2] = 0.40; + y[3] = 0.70; + y[4] = 0.90; + y[5] = 1.00; + + // On entry: F[my*(q-1)+r-1] must contain f(q,r), for q=1,2,...,mx + // and r=1,2,...,my. + f[0] = 1.00; + f[1] = 1.10; + f[2] = 1.40; + f[3] = 1.70; + f[4] = 1.90; + f[5] = 2.00; + f[6] = 1.21; + f[7] = 1.31; + f[8] = 1.61; + f[9] = 1.91; + f[10] = 2.11; + f[11] = 2.21; + f[12] = 1.69; + f[13] = 1.79; + f[14] = 2.09; + f[15] = 2.39; + f[16] = 2.59; + f[17] = 2.69; + f[18] = 2.25; + f[19] = 2.35; + f[20] = 2.65; + f[21] = 2.95; + f[22] = 3.15; + f[23] = 3.25; + f[24] = 2.56; + f[25] = 2.66; + f[26] = 2.96; + f[27] = 3.26; + f[28] = 3.46; + f[29] = 3.56; + f[30] = 3.24; + f[31] = 3.34; + f[32] = 3.64; + f[33] = 3.94; + f[34] = 4.14; + f[35] = 4.24; + f[36] = 4.00; + f[37] = 4.10; + f[38] = 4.40; + f[39] = 4.70; + f[40] = 4.90; + f[41] = 5.00; + + System.out.printf(" E01DAJ Example Program Results\n\n"); + e01da.eval(mx, my, x, y, f, px, py, lamda, mu, c, wrk, ifail); + + ifail = e01da.getIFAIL(); + switch (ifail) { + case 0: + System.out.printf(" I Knot LAMDA(I) J Knot MU(j)\n"); + for (int i = 3; i <= Math.max(mx,my); ++i) { + if (i <= mx) { + System.out.printf("%4d %9.4f", i+1, lamda[i]); + } + else { + System.out.printf(" "); + } + if (i <= my) { + System.out.printf("%8d %9.4f\n", i+1, mu[i]); + } + else { + System.out.printf("\n"); + } + } + System.out.printf("\n The B-Spline coefficients:\n"); + for (int i = 0; i < mx*my; ++i) { + System.out.printf("%9.4f", c[i]); + if ((i+1)%8 == 0) { + System.out.printf("\n"); + } + } + System.out.printf("\n"); + break; + default: + System.out.printf("\n Error detected by E01DA: %d\n", ifail); + } + + /* Evaluate the spline on a regular rectangular grid at nx*ny points + over the domain [xlo,xhi] x [ylo,yhi]. */ + px = e01da.getPX(); + py = e01da.getPY(); + int liwrk; + int lwrk = Math.min(4*nx+px, 4*ny+py); + if (4*nx+px > 4*ny+py) { + liwrk = ny + py - 4; + } + else { + liwrk = nx + px - 4; + } + double[] tx = new double[nx]; + double[] ty = new double[ny]; + double[] ff = new double[nx*ny]; + wrk = new double[lwrk]; + int[] iwrk = new int[liwrk]; + + /* Generate nx/ny equispaced x/y co-ordinates */ + double step = (xhi-xlo)/(nx-1); + tx[0] = xlo; + for (int i = 1; i < nx-1; i++) { + tx[i] = tx[i-1] + step; + } + tx[nx-1] = xhi; + + step = (yhi-ylo)/(ny-1); + ty[0] = ylo; + for (int i = 1; i < ny-1; i++) { + ty[i] = ty[i-1] + step; + } + ty[ny-1] = yhi; + + /* Evaluate the spline. */ + E02DF e02df = new E02DF(); + ifail = 0; + e02df.eval(nx,ny,px,py,tx,ty,lamda,mu,c,ff,wrk,lwrk,iwrk,liwrk,ifail); + + ifail = e02df.getIFAIL(); + switch (ifail) { + case 0: + System.out.printf("\n Spline evaluated on a regular mesh (X across, Y down):\n"); + System.out.printf(" "); + for (int i = 0; i < nx; ++i) { + System.out.printf(" %5.2f ", tx[i]); + } + System.out.printf("\n"); + for (int i = 0; i < ny; ++i) { + System.out.printf(" %5.2f ", ty[i]); + for (int j = 0; j < nx; ++j) { + System.out.printf(" %8.3f", ff[ny*j+i]); + } + System.out.printf("\n"); + } + break; + default: + System.out.printf("\n Error detected by E02DF: %d\n", ifail); + } + + } + +} diff --git a/simple_examples/source/int32/E02ALJE.java b/simple_examples/source/int32/E02ALJE.java new file mode 100644 index 0000000..372f125 --- /dev/null +++ b/simple_examples/source/int32/E02ALJE.java @@ -0,0 +1,101 @@ +import com.nag.routines.E02.E02AL; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * E02ALJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class E02ALJE{ + + /** + * E02ALJ Example main program + */ + public static void main(String[] args){ + double dxx, ref = 0, s, t, xx; + int ifail, n = 0, m = 0, neval = 0; //placeholders + double[] a, x, y; + + a = new double[0]; + x = new double[0]; + y = new double[0]; //placeholders + + System.out.println("E02ALJ Example Program Results"); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[1]); + m = Integer.parseInt(sVal[2]); + neval = Integer.parseInt(sVal[3]); + + a = new double[m + 1]; + x = new double[n]; + y = new double[n]; + + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + x[i] = Double.parseDouble(sVal[1]); + y[i] = Double.parseDouble(sVal[2]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + System.exit(-2); + } + + ifail = 0; + E02AL e02al = new E02AL(n, x, y, m, a, ref, ifail); + e02al.eval(); + + //update + ref = e02al.getREF(); + x = e02al.getX(); + y = e02al.getY(); + + + System.out.println(); + System.out.printf(" Polynomial coefficients\n"); + for(int i = 0; i <= m; i++){ + System.out.printf("\t%.4e\n", a[i]); + } + System.out.println(); + System.out.printf(" Reference deviation = %.2e\n", ref); + System.out.println(); + System.out.printf("\tX\tFit\texp(x)\tResidual\n"); + + dxx = 1/(double)(neval - 1); + + for(int j = 0; j < neval; j++){ + xx = (double) j * dxx; + + s = a[m]; + + for(int i = m - 1; i >=0; i--){ + s = s * xx + a[i]; + } + + t = Math.exp(xx); + System.out.printf("\t%.2f\t%.4f\t%.4f\t%.2e\n", xx, s, t, (s - t)); + } + } +} + diff --git a/simple_examples/source/int32/E04ABJE.java b/simple_examples/source/int32/E04ABJE.java new file mode 100644 index 0000000..773f1ff --- /dev/null +++ b/simple_examples/source/int32/E04ABJE.java @@ -0,0 +1,76 @@ +import com.nag.routines.E04.E04AB; + +/** + * E04ABJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class E04ABJE{ + + /** + * E04ABJE main program + */ + public static void main(String[] args){ + double a, b, e1, e2, f = 0, x = 0; //placeholders + int ifail, maxcal; + double[] ruser; + int[] iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println("E04ABJ Example Program Results"); + + //e1 and e2 are set to zero so that E04ABA will reset them to their default values + + e1 = 0; + e2 = 0; + + //The minimum is known to lie in the range (3.5, 5.0) + + a = 3.5; + b = 5.0; + + //Allow 30 calls of FUNCT + + maxcal = 30; + + ifail = -1; + funct funct1 = new funct(); + E04AB e04ab = new E04AB(funct1, e1, e2, a, b, maxcal, x, f, iuser, ruser, ifail); + e04ab.eval(); + + //update + ifail = e04ab.getIFAIL(); + a = e04ab.getA(); + b = e04ab.getB(); + x = e04ab.getX(); + f = e04ab.getF(); + maxcal = e04ab.getMAXCAL(); + + switch(ifail){ + case 0: + System.out.println(); + System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); + System.out.printf("Its estimated position is %.8f,\n", x); + System.out.printf("where the function value is %.4f\n", f); + System.out.printf("%d function evaluations were required\n", maxcal); + break; + case 2: + System.out.println(); + System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); + System.out.printf("Its estimated position is %.8f,\n", x); + System.out.printf("where the function value is %.4f\n", f); + System.out.printf("%d function evaluations were required\n", maxcal); + break; + default: + break; + } + } + + public static class funct extends E04AB.Abstract_E04AB_FUNCT{ + public void eval(){ + FC = Math.sin(this.XC) / this.XC; + } + } +} diff --git a/simple_examples/source/int32/E04BBJE.java b/simple_examples/source/int32/E04BBJE.java new file mode 100644 index 0000000..d7032f5 --- /dev/null +++ b/simple_examples/source/int32/E04BBJE.java @@ -0,0 +1,81 @@ +import com.nag.routines.E04.E04BB; + +/** + * E04BBJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class E04BBJE{ + + /** + * E04BBJE main program + */ + public static void main(String[] args){ + double a, b, e1, e2, f = 0, g = 0, x = 0; //placeholders + int ifail, maxcal; + double[] ruser; + int[] iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println("E04BBJ Example Program Results"); + + //e1 and e2 are set to zero so that E04BBA will reset them to their default values + + e1 = 0; + e2 = 0; + + //The minimum is known to lie in the range (3.5, 5.0) + + a = 3.5; + b = 5.0; + + //Allow 30 calls of FUNCT + + maxcal = 30; + + ifail = -1; + funct funct1 = new funct(); + E04BB e04bb = new E04BB(funct1, e1, e2, a, b, maxcal, x, f, g, iuser, ruser, ifail); + e04bb.eval(); + + //update + a = e04bb.getA(); + b = e04bb.getB(); + maxcal = e04bb.getMAXCAL(); + x = e04bb.getX(); + f = e04bb.getF(); + g = e04bb.getG(); + ifail = e04bb.getIFAIL(); + + switch(ifail){ + case 0: + System.out.println(); + System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); + System.out.printf("Its estimated position is %.8f,\n", x); + System.out.printf("where the function value is %.4f\n", f); + System.out.printf("and the gradient is %.1e (machine dependent)\n", g); + System.out.printf("%d function evaluations were required\n", maxcal); + break; + case 2: + System.out.println(); + System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); + System.out.printf("Its estimated position is %.8f,\n", x); + System.out.printf("where the function value is %.4f\n", f); + System.out.printf("and the gradient is %.1e (machine dependent)\n", g); + System.out.printf("%d function evaluations were required\n", maxcal); + break; + default: + break; + } + } + + public static class funct extends E04BB.Abstract_E04BB_FUNCT{ + public void eval(){ + this.FC = Math.sin(this.XC) / this.XC; + this.GC = (Math.cos(this.XC) - this.FC)/this.XC; + } + } +} + diff --git a/simple_examples/source/int32/E04CBJE.java b/simple_examples/source/int32/E04CBJE.java new file mode 100644 index 0000000..fbde674 --- /dev/null +++ b/simple_examples/source/int32/E04CBJE.java @@ -0,0 +1,90 @@ +import com.nag.routines.E04.E04CB; +import com.nag.routines.E04.E04CBK; +import com.nag.routines.X02.X02AJ; + +/** + * E04CBJ Example Program text + * @author willa + * @since 27.1.0.0 + */ +public class E04CBJE{ + + /** + * E04CBJE main program + */ + public static void main(String[] args){ + int n = 2, ifail, maxcal; + double f = 0, tolf, tolx; //placeholders + boolean monitoring; + int[] iuser; + double[] ruser, x; + + iuser = new int[1]; + ruser = new double[1]; + x = new double[n]; + + System.out.println("E04CBJ Example Program Results"); + + //Set monitoring to true to obtain monitoring information + monitoring = false; + + x[0] = -1.0; + x[1] = 1.0; + X02AJ x02aj = new X02AJ(); + tolf = Math.sqrt(x02aj.eval()); + tolx = Math.sqrt(tolf); + maxcal = 100; + + ifail = 0; + + funct funct1 = new funct(); + if(!monitoring){ + defMonit monit = new defMonit(); + E04CB e04cb = new E04CB(n, x, f, tolf, tolx, funct1, monit, maxcal, iuser, ruser, ifail); + e04cb.eval(); + } + else{ + myMonit monit = new myMonit(); + E04CB e04cb = new E04CB(n, x, f, tolf, tolx, funct1, monit, maxcal, iuser, ruser, ifail); + e04cb.eval(); + } + + System.out.println(); + System.out.printf("The final function value is \t%.4f\n", f); + System.out.printf("at the point\t"); + for(int i = 0; i < n; i++){ + System.out.printf("%.4f\t", x[i]); + } + System.out.printf("\n"); + } + + public static class funct extends E04CB.Abstract_E04CB_FUNCT{ + public void eval(){ + this.FC = Math.exp(this.XC[0]) * ((4 * this.XC[0] * (this.XC[0] + this.XC[1])) + (2 * this.XC[1] * (this.XC[1] + 1) + 1)); + } + } + + public static class myMonit extends E04CB.Abstract_E04CB_MONIT{ + public void eval(){ + System.out.println(); + System.out.printf("There have been %d function calls\n", this.NCALL); + System.out.printf("The smallest function value is %.4f\n", this.FMIN); + System.out.printf("The simplex is\n"); + for(int i = 0; i <= this.N; i++){ + for(int j = 0; j < this.N; j++){ + System.out.printf("%.4f\t", this.SIM[(j * (this.N + 1)) + i]); + } + System.out.printf("\n"); + } + System.out.printf("The standard deviation in function values of the vertices of the simplex is %.4f\n", this.SERROR); + System.out.printf("The linearized volume ratio of the current simplex to the starting one is %.4f\n", this.VRATIO); + } + } + + //This is how to use NAG supplied function as argument + public static class defMonit extends E04CBK implements E04CB.E04CB_MONIT{ + public void eval(){ + super.eval(); + } + } +} diff --git a/simple_examples/source/int32/E04FCJE.java b/simple_examples/source/int32/E04FCJE.java new file mode 100644 index 0000000..939f68d --- /dev/null +++ b/simple_examples/source/int32/E04FCJE.java @@ -0,0 +1,420 @@ +import com.nag.routines.E04.E04FC; +import com.nag.routines.F06.DDOT; +import com.nag.routines.F06.DGEMV; +import com.nag.routines.X02.X02AJ; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.IOException; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * E04FC example program text. + * @author ludovic + */ +public class E04FCJE { + + public static void main(String[] args) { + + BufferedReader dataIn = null; + + try { + E04FC e04fc = new E04FC(); + System.out.println(" E04FCJ Example Program Results"); + dataIn = new BufferedReader(new FileReader(args[0])); + //skip header + dataIn.readLine(); + + int inc1 = 1, liw = 1, m, ldfjac = m = 15, n, ldv = n = 3, nt = 3, + lw = 6 * n + m * n + 2 * m + n * (n - 1) / 2; + String trans = "T"; + + double eta, fsumsq, stepmx, xtol; + eta = fsumsq = stepmx = xtol = Double.NaN; + int ifail, iprint, maxcal, nf, niter; + ifail = iprint = maxcal = nf = niter = 0; + double[] fjac = new double[m * n], + fvec = new double[m], + g = new double[n], + s = new double[n], + v = new double[ldv * n], + w = new double[lw], + x = new double[n], + y = new double[m], + t = new double[m * nt]; + + + int[] iw = new int[liw]; + + for (int i = 0; i < m; ++i) { + String[] line = dataIn.readLine().trim().split("\\s+"); + if (line.length != nt + 1) { + System.err.println("Error in data file - only " + line.length + + " records at line " + (i + 2) + " while expecting " + (nt + 1) + + " elements"); + System.exit(1); + } + y[i] = Double.parseDouble(line[0].replaceAll("D", "E")); // java doesn't know the D format + for (int j = 1; j <= nt; ++j) { + t[i + (j - 1) * m] = Double.parseDouble(line[j].replaceAll("D", "E")); + } + } + + // Set IPRINT to 1 to obtain output from LSQMON at each iteration + iprint = -1; + + maxcal = 400 * n; + eta = 0.5; + xtol = 10.0 * Math.sqrt((new X02AJ()).eval()); + + // We estimate that the minimum will be within 10 units of the starting point + stepmx = 10.0; + + // Set up the starting point + x[0] = 0.5; + x[1] = 1.0; + x[2] = 1.5; + + ifail = -1; + + LSQFUN lsqfun = new LSQFUN(); + lsqfun.t = t; + lsqfun.y = y; + LSQMON lsqmon = new LSQMON(); + + e04fc.eval(m, n, lsqfun, lsqmon, iprint, maxcal, eta, xtol, stepmx, x, fsumsq, + fvec, fjac, ldfjac, s, v, ldv, niter, nf, iw, liw, w, lw, ifail); + + ifail = e04fc.getIFAIL(); + + + switch (ifail) { + case (1): + System.err.println("Unexpected ifail = " + ifail); + break; + default: + System.out.println(); + System.out.printf(" On exit, the sum of squares is %12.4f\n", e04fc.getFSUMSQ()); + System.out.printf(" at the point %12.4f %12.4f %12.4f\n", x[0], x[1], x[2]); + lsqgrd(m, n, fvec, fjac, ldfjac, g); + System.out.print(" The estimated gradient is "); + for (int i = 0; i < n; ++i) { + System.out.printf(" %12.3e\t", g[i]); + } + System.out.println(); + System.out.println(" (machine dependent)"); + System.out.println(" and the residuals are"); + for (int i = 0; i < m; ++i) { + System.out.printf(" %9.1e\n", fvec[i]); + } + } + + + + } + catch (Exception ex) { + Logger.getLogger(E04FCJE.class.getName()).log(Level.SEVERE, null, ex); + } + finally { + try { + dataIn.close(); + } + catch (IOException ex) { + Logger.getLogger(E04FCJE.class.getName()).log(Level.SEVERE, null, ex); + } + } + + + } + + public static void lsqgrd(int m, int n, double[] fvec, double[] fjac, int ldfjac, double[] g) { + DGEMV dgemv = new DGEMV("T", m, n, 1.0, fjac, ldfjac, fvec, 1, 0.0, g, 1); + dgemv.eval(); + for (int i = 0; i < g.length; ++i) { + g[i] = 2.0 * g[i]; + } + } + + public static class LSQFUN implements E04FC.E04FC_LSQFUN { + + public double[] t, y; + int IFLAG, M, N, LW, LIW; + double[] XC, FVEC, W; + int[] IW; + + @Override + public void setIFLAG(int IFLAG) { + this.IFLAG = IFLAG; + } + + @Override + public int getIFLAG() { + return IFLAG; + } + + @Override + public void setM(int M) { + this.M = M; + } + + @Override + public int getM() { + return M; + } + + @Override + public void setN(int N) { + this.N = N; + } + + @Override + public int getN() { + return N; + } + + @Override + public void setXC(double[] XC) { + this.XC = XC; + } + + @Override + public double[] getXC() { + return XC; + } + + @Override + public void setFVEC(double[] FVEC) { + this.FVEC = FVEC; + } + + @Override + public double[] getFVEC() { + return FVEC; + } + + @Override + public void setIW(int[] IW) { + this.IW = IW; + } + + @Override + public int[] getIW() { + return IW; + } + + @Override + public void setLIW(int LIW) { + this.LIW = LIW; + } + + @Override + public int getLIW() { + return LIW; + } + + @Override + public void setW(double[] W) { + this.W = W; + } + + @Override + public double[] getW() { + return W; + } + + @Override + public void setLW(int LW) { + this.LW = LW; + } + + @Override + public int getLW() { + return LW; + } + + @Override + public void eval(int IFLAG, int M, int N, double[] XC, double[] FVEC, + int[] IW, int LIW, double[] W, int LW) { + for (int i = 0; i < M; ++i) { + FVEC[i] = XC[0] + t[i] / (XC[1] * t[i + M] + XC[2] * t[i + 2 * M]) - y[i]; + } + } + + } + + public static class LSQMON implements E04FC.E04FC_LSQMON { + + int M, N, LDFJAC, NITER, NF, IGRADE, LIW, LW; + int[] IW; + double[] XC, FVEC, FJAC, S, W; + + @Override + public void setM(int M) { + this.M = M; + } + + @Override + public int getM() { + return M; + } + + @Override + public void setN(int N) { + this.N = N; + } + + @Override + public int getN() { + return N; + } + + @Override + public void setXC(double[] XC) { + this.XC = XC; + } + + @Override + public double[] getXC() { + return XC; + } + + @Override + public void setFVEC(double[] FVEC) { + this.FVEC = FVEC; + } + + @Override + public double[] getFVEC() { + return FVEC; + } + + @Override + public void setFJAC(double[] FJAC) { + this.FJAC = FJAC; + } + + @Override + public double[] getFJAC() { + return FJAC; + } + + @Override + public void setLDFJAC(int LDFJAC) { + this.LDFJAC = LDFJAC; + } + + @Override + public int getLDFJAC() { + return LDFJAC; + } + + @Override + public void setS(double[] S) { + this.S = S; + } + + @Override + public double[] getS() { + return S; + } + + @Override + public void setIGRADE(int IGRADE) { + this.IGRADE = IGRADE; + } + + @Override + public int getIGRADE() { + return IGRADE; + } + + @Override + public void setNITER(int NITER) { + this.NITER = NITER; + } + + @Override + public int getNITER() { + return NITER; + } + + @Override + public void setNF(int NF) { + this.NF = NF; + } + + @Override + public int getNF() { + return NF; + } + + @Override + public void setIW(int[] IW) { + this.IW = IW; + } + + @Override + public int[] getIW() { + return IW; + } + + @Override + public void setLIW(int LIW) { + this.LIW = LIW; + } + + @Override + public int getLIW() { + return LIW; + } + + @Override + public void setW(double[] W) { + this.W = W; + } + + @Override + public double[] getW() { + return W; + } + + @Override + public void setLW(int LW) { + this.LW = LW; + } + + @Override + public int getLW() { + return LW; + } + + @Override + public void eval(int M, int N, double[] XC, double[] FVEC, double[] FJAC, + int LDFJAC, double[] S, int IGRADE, int NITER, int NF, int[] IW, + int LIW, double[] W, int LW) { + + int ndec = 3; + double fsumsq, gtg; + double[] g = new double[ndec]; + DDOT ddot = new DDOT(M, FVEC, 1, FVEC, 1); + fsumsq = ddot.eval(); + + lsqgrd(M, N, FVEC, FJAC, LDFJAC, g); + + gtg = ddot.eval(N, g, 1, g, 1); + // 99998 Format (1X,1P,E13.5,10X,1P,E9.1,10X,1P,E9.1) + System.out.println(); + System.out.println(" Itn F evals SUMSQ GTG Grade"); + System.out.printf(" %4d %5d %13.5e %9.1e %3d\n", + NITER, NF, fsumsq, gtg, IGRADE); + System.out.println(); + System.out.println(" X G Singular values"); + for (int j = 0; j < N; ++j) { + System.out.printf(" %13.5e %9.1e %9.1e\n",XC[j], g[j], S[j]); + } + + } + + } + +} diff --git a/simple_examples/source/int32/E04FFJE.java b/simple_examples/source/int32/E04FFJE.java new file mode 100644 index 0000000..ad81e32 --- /dev/null +++ b/simple_examples/source/int32/E04FFJE.java @@ -0,0 +1,140 @@ +import com.nag.routines.E04.E04FF; +import com.nag.routines.E04.E04FFU; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RM; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04ZM; +import java.util.Arrays; + +/** + * E04FF example program text. + * @author joed + */ +public class E04FFJE { + + public static void main(String[] args) { + double infbnd = 1.0e20; + double[] lx, rx, ux, x, ruser, pdy, pdz; + double[] rinfo = new double[100], stats = new double[100]; + int ifail, isparse, nnzrd, nres, nvar, pdny, pdnz; + int[] iuser; + int[] icolrd = new int[1], irowrd = new int[1]; + long cpuser, handle; // c_ptr + MONIT monit = new MONIT(); + OBJFUN objfun = new OBJFUN(); + + /* Header */ + System.out.printf(" E04FFJ Example Program Results\n\n"); + + /* Fill problem data structure */ + pdny = 11; + pdnz = 11; + pdy = new double[] { + 4.0e0, 2.0e0, 1.0e0, 5.0e-1, 2.5e-1, 1.67e-1, 1.25e-1, 1.0e-1, + 8.33e-2, 7.14e-2, 6.25e-2 + }; + pdz = new double[] { + 1.957e-1, 1.947e-1, 1.735e-1, 1.6e-1, 8.44e-2, 6.27e-2, 4.56e-2, + 3.42e-2, 3.23e-2, 2.35e-2, 2.46e-2 + }; + nvar = 4; + nres = 11; + + /* Initialize handle */ + E04RA e04ra = new E04RA(); + handle = 0; + ifail = 0; // hard fail + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + /* Define residuals structure */ + E04RM e04rm = new E04RM(); + isparse = 0; // Dense => irowrd and icolrd are not accessed + nnzrd = 1; + ifail = 0; + e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); + + /* Set options */ + E04ZM e04zm = new E04ZM(); + ifail = 0; + e04zm.eval(handle, "DFLS Trust Region Tolerance = 5.0e-6", ifail); + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + + /* Define starting point */ + x = new double[] {0.25, 0.39, 0.415, 0.39}; + rx = new double[nres]; + + /* Define bounds for the second and the fourth variable */ + E04RH e04rh = new E04RH(); + lx = new double[] {-infbnd, 0.2, -infbnd, 0.3}; + ux = new double[] {infbnd, 1.0, infbnd, infbnd}; + ifail = 0; + e04rh.eval(handle, nvar, lx, ux, ifail); + + /* Call the solver */ + E04FF e04ff = new E04FF(); + ifail = -1; + iuser = new int[] {pdny, pdnz}; + ruser = new double[2 * nres]; + cpuser = 0L; + for (int i = 0; i < nres; i++) { + ruser[i] = pdy[i]; + ruser[nres + i] = pdz[i]; + } + e04ff.eval(handle, objfun, monit, nvar, x, nres, rx, rinfo, stats, + iuser, ruser, cpuser, ifail); + + /* Free handle memory */ + E04RZ e04rz = new E04RZ(); + ifail = 0; + e04rz.eval(handle, ifail); + + } + + public static class OBJFUN extends E04FF.Abstract_E04FF_OBJFUN { + + public void eval() { + int pdny, pdnz; + double r1, r2; + double[] pdy, pdz; + + /* Interrupt solver if the dimensions are incorrect */ + if (this.NRES != 11 || this.NVAR != 4) { + this.INFORM = -1; + return; + } + + /* Extract the problem data structure from the workspaces */ + pdny = this.IUSER[0]; + pdnz = this.IUSER[1]; + if (pdny != this.NRES || pdnz != this.NRES) { + this.INFORM = -1; + return; + } + pdy = Arrays.copyOfRange(this.RUSER, 0, pdny); + pdz = Arrays.copyOfRange(this.RUSER, pdny, pdny + pdnz); + + for (int i = 0; i < this.NRES; i++) { + r1 = pdy[i] * (pdy[i] + this.X[1]); + r2 = pdy[i] * (pdy[i] + this.X[2]) + this.X[3]; + this.RX[i] = pdz[i] - (this.X[0] * r1/r2); + } + + } + + } + + public static class MONIT extends E04FF.Abstract_E04FF_MONIT { + + public void eval() { + E04FFU e04ffu = new E04FFU(); + e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, + this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ffu.getINFORM(); + } + + } + +} diff --git a/simple_examples/source/int32/E04GBJE.java b/simple_examples/source/int32/E04GBJE.java new file mode 100644 index 0000000..7becf21 --- /dev/null +++ b/simple_examples/source/int32/E04GBJE.java @@ -0,0 +1,183 @@ +import com.nag.routines.A00.A00AA; +import com.nag.routines.E04.E04GB; +import com.nag.routines.E04.E04HEV; +import com.nag.routines.E04.E04YA; +import com.nag.routines.F06.DDOT; +import com.nag.routines.F06.F06PA; +import com.nag.routines.X02.X02AJ; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * E04GB example program text. + */ +public class E04GBJE { + + public static final int inc1 = 1, liw = 1, m = 15, n = 3, nt = 3; + public static final int ldfjac = m, ldv = n, lw = 7*n + m*n + 2*m + n*n; + public static final String trans = "T"; + public static double[] y; + public static double[] t; + + public static void main(String[] args) { + + double eta, fsumq = 0.0, stepmx, xtol; + int ifail, iprint, maxcal, nf = 0, niter = 0; + double[] fjac = new double[ldfjac * n]; + double[] fvec = new double[m]; + double[] g = new double[n]; + double[] s = new double[n]; + double[] v = new double[ldv * n]; + double[] w = new double[lw * n]; + double[] x = new double[n]; + int[] iw = new int[liw]; + + System.out.println(" E04GBJ Example Program Results"); + + // Data + y = new double[] { + 0.14, 0.18, 0.22, 0.25, 0.29, 0.32, 0.35, 0.39, 0.37, 0.58, 0.73, + 0.96, 1.34, 2.10, 4.39 + }; + + t = new double[m * nt]; + for (int i = 0; i < m; i++) { + t[i] = i + 1.0; + t[m + i] = 15.0 - i; + t[2*m + i] = -Math.abs(i - 7.0) + 8.0; + } + + // Check LSQFUN by calling E04YA at an arbitrary point + E04YA e04ya = new E04YA(); + LSQFUN lsqfun = new LSQFUN(); + x[0] = 0.19; + x[1] = -.34; + x[2] = 0.88; + ifail = 0; + e04ya.eval(m, n, lsqfun, x, fvec, fjac, ldfjac, iw, liw, w, lw, ifail); + + // Continue setting parameters for E04GB + E04GB e04gb = new E04GB(); + LSQMON lsqmon = new LSQMON(); + LSQLIN lsqlin = new LSQLIN(); + iprint = -1; // Set to 1 to obtain output from LSQMON at each iteration + maxcal = 50 * n; + eta = 0.09; // Since E04HEV is being used as LSQLIN + xtol = 10.0 * Math.sqrt((new X02AJ()).eval()); + stepmx = 10.0; + + // Set up the starting point + x[0] = 0.5; + x[1] = 1.0; + x[2] = 1.5; + + ifail = -1; + e04gb.eval(m, n, lsqlin, lsqfun, lsqmon, iprint, maxcal, eta, xtol, + stepmx, x, fsumq, fvec, fjac, ldfjac, s, v, ldv, niter, nf, iw, + liw, w, lw, ifail); + fsumq = e04gb.getFSUMSQ(); + x = e04gb.getX(); + ifail = e04gb.getIFAIL(); + + if (ifail == 0 || ifail >= 2) { + System.out.println(); + System.out.printf(" On exit, the sum of squares is %12.4f\n", fsumq); + System.out.printf(" at the point "); + for (int ii = 0; ii < n; ++ii) { + System.out.printf("%12.4f", x[ii]); + } + System.out.println(); + + lsqmon.lsqgrd(m, n, fvec, fjac, ldfjac, g); + + System.out.print(" The corresponding gradient is"); + for (int ii = 0; ii < n; ++ii) { + System.out.printf("%12.3E", g[ii]); + } + System.out.println(); + System.out.println(" (machine dependent)"); + System.out.println(" and the residuals are"); + for (int ii = 0; ii < m; ++ii) { + System.out.printf(" %9.1E\n", fvec[ii]); + } + System.out.println(); + } + + } + + /** Routine to evaluate the residuals and their 1st derivatives. */ + public static class LSQFUN extends E04GB.Abstract_E04GB_LSQFUN implements E04YA.E04YA_LSQFUN { + + public void eval() { + double denom, dummy; + + for (int i = 0; i < m; i++) { + denom = this.XC[1] * t[i + this.M] + this.XC[2] * t[i + 2*this.M]; + this.FVEC[i] = this.XC[0] + t[i] / denom - y[i]; + + if (this.IFLAG != 0) { + this.FJAC[i] = 1.0; + dummy = -1.0 / (denom * denom); + this.FJAC[i + ldfjac] = t[i] * t[i + this.M] * dummy; + this.FJAC[i + 2*ldfjac] = t[i] * t[i + 2*this.M] * dummy; + } + } + + } + + } + + public static class LSQMON extends E04GB.Abstract_E04GB_LSQMON { + + public static final int ndec = 3; + + /** Monitoring routine. */ + public void eval() { + double fsumsq, gtg; + double[] g = new double[ndec]; + DDOT ddot = new DDOT(); + + fsumsq = ddot.eval(this.M, this.FVEC, inc1, this.FVEC, inc1); + this.lsqgrd(this.M, this.N, this.FVEC, this.FJAC, this.LDFJAC, g); + gtg = ddot.eval(this.N, g, inc1, g, inc1); + + System.out.println(); + System.out.println(" Itn F evals SUMSQ GTG Grade"); + System.out.printf(" %4d %5d %13.5E %9.1E %3d\n", + this.NITER, this.NF, fsumsq, gtg, this.IGRADE); + System.out.println(); + System.out.println(" X G Singular values"); + for (int j = 0; j < n; j++) { + System.out.printf(" %13.5E %9.1E %9.1E\n", + this.XC[j], g[j], this.S[j]); + } + + } + + /** Routine to evaluate gradient of the sum of squares. */ + public void lsqgrd(int m, int n, double[] fvec, double[] fjac, int ldfjac, double[] g) { + F06PA f06pa = new F06PA(trans, m, n, 1.0, fjac, ldfjac, fvec, inc1, 0.0, g, inc1); + f06pa.eval(); + + for (int i = 0; i < n; ++i) { + g[i] = 2.0 * g[i]; + } + + } + + } + + /** Using E04HEV as LSQLIN. */ + private static class LSQLIN extends E04HEV implements E04GB.E04GB_LSQLIN { + + public void eval() { + super.eval(); + } + + } + +} diff --git a/simple_examples/source/int32/E04GGJE.java b/simple_examples/source/int32/E04GGJE.java new file mode 100644 index 0000000..8a18c6a --- /dev/null +++ b/simple_examples/source/int32/E04GGJE.java @@ -0,0 +1,219 @@ +import com.nag.routines.E04.E04FFU; +import com.nag.routines.E04.E04GG; +import com.nag.routines.E04.E04GGV; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RM; +import com.nag.routines.E04.E04RX; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04ZM; + +/** + * E04GG example program text. + */ +public class E04GGJE { + + public static void main(String[] args) { + + final double infbnd = 1.0e20; + + long cpuser = 0, handle = 0; + int ifail, isparse, nnzrd, nres, nvar; + + double[] blx, bux, ruser, rx, x, z; + double[] rinfo = new double[100], stats = new double[100]; + int[] icolrd = new int[1], irowrd = new int[1], iuser = new int[1]; + + /* Header */ + System.out.println(" E04GGJ Example Program Results\n"); + + nvar = 6; + nres = 24; + // ruser = new double[2*nres]; + // Data from Lanczos 3 Problem + ruser = new double[] { + // t(:) = + 0.0e0, 5.0e-2, 1.0e-1, 1.5e-1, 2.0e-1, 2.5e-1, 3.0e-1, 3.5e-1, + 4.0e-1, 4.5e-1, 5.0e-1, 5.5e-1, 6.0e-1, 6.5e-1, 7.0e-1, 7.5e-1, + 8.0e-1, 8.5e-1, 9.0e-1, 9.5e-1, 1.0e0, 1.05e0, 1.10e0, 1.15e0, + // y(:) = + 2.5134, 2.0443, 1.6684, 1.3664, 1.1232, 0.9269, 0.7679, 0.6389, + 0.5338, 0.4479, 0.3776, 0.3197, 0.2720, 0.2325, 0.1997, 0.1723, + 0.1493, 0.1301, 0.1138, 0.1000, 0.0883, 0.0783, 0.0698, 0.0624 + }; + + iuser[0] = 0; + + // Initialize handle + ifail = 0; + E04RA e04ra = new E04RA(); + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + // Define residuals structure, isparse=0 means the residual structure is + // dense => irowrd and icolrd are not accessed + isparse = 0; + nnzrd = 0; + E04RM e04rm = new E04RM(); + e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); + + // Set options + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "BXNL Use Second Derivatives = Yes",ifail); + e04zm.eval(handle, "BXNL Model = Gauss-Newton",ifail); + e04zm.eval(handle, "BXNL Glob Method = Reg",ifail); + // Change printed output verbosity + e04zm.eval(handle, "Print Level = 1",ifail); + + // Define starting point + rx = new double[nres]; + z = new double[nvar]; + // x = new double[nvar]; + x = new double[] { + 1.2, 0.3, 5.6, 5.5, 6.5, 7.6 + }; + + // Define bounds + blx = new double[nvar]; + bux = new double[nvar]; + blx[0] = 0.0; + bux[0] = 1.0; + blx[1] = -1.0; + bux[1] = infbnd; + blx[2] = -1.0; + bux[2] = infbnd; + blx[3] = -1.0; + bux[3] = infbnd; + blx[4] = -1.0; + bux[4] = 1.0; + blx[5] = -1.0; + bux[5] = 10.0; + E04RH e04rh = new E04RH(); + e04rh.eval(handle, nvar, blx, bux, ifail); + + // Call the solver + ifail = -1; + E04GG e04gg = new E04GG(); + LSQFUN lsqfun = new LSQFUN(); + LSQGRD lsqgrd = new LSQGRD(); + LSQHES lsqhes = new LSQHES(); + LSQHPRD lsqhprd = new LSQHPRD(); + MONIT monit = new MONIT(); + + e04gg.eval(handle,lsqfun,lsqgrd,lsqhes,lsqhprd,monit,nvar,x,nres,rx,rinfo,stats,iuser,ruser,cpuser,ifail); + ifail = e04gg.getIFAIL(); + + // Recover latest iterate from handle if available + if (ifail == 0) { + ifail = -1; + E04RX e04rx = new E04RX(); + e04rx.eval(handle,"X",1,nvar,z,ifail); + ifail = e04rx.getIFAIL(); + if (ifail == 0) { + System.out.println("\nSolver stored solution iterate in the handle"); + System.out.print("X: "); + for (int i = 0; i < nvar; i++){ + System.out.printf("%8.2E ", z[i]); + } + System.out.println(); + } + } + + // Free the handle memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + + } + + public static class LSQFUN extends E04GG.Abstract_E04GG_LSQFUN { + + public void eval() { + for (int i = 0; i < this.NRES; i++){ + this.RX[i] = 0.0; + } + + for (int i = 0; i < this.NRES; i++){ + this.RX[i] = this.RUSER[this.NRES + i] - this.X[0] * Math.exp(-this.X[1] * this.RUSER[i]) - + this.X[2] * Math.exp(-this.X[3] * this.RUSER[i]) - this.X[4] * Math.exp(-this.X[5] * this.RUSER[i]); + } + + this.INFORM = 0; + } + } + + public static class LSQGRD extends E04GG.Abstract_E04GG_LSQGRD { + + public void eval() { + int i; + + for (i = 0; i < this.RDX.length; i++) { + this.RDX[i] = 0; + } + + for (i = 0; i < this.NRES; i++) { + this.RDX[i * this.NVAR + 0] = -Math.exp(-this.X[1] * this.RUSER[i]); + this.RDX[i * this.NVAR + 1] = this.RUSER[i] * this.X[0] * Math.exp(-this.X[1] * this.RUSER[i]); + this.RDX[i * this.NVAR + 2] = -Math.exp(-this.X[3] * this.RUSER[i]); + this.RDX[i * this.NVAR + 3] = this.RUSER[i] * this.X[2] * Math.exp(-this.X[3] * this.RUSER[i]); + this.RDX[i * this.NVAR + 4] = -Math.exp(-this.X[5] * this.RUSER[i]); + this.RDX[i * this.NVAR + 5] = this.RUSER[i] * this.X[4] * Math.exp(-this.X[5] * this.RUSER[i]); + } + + this.INFORM = 0; + } + } + + public static class LSQHES extends E04GG.Abstract_E04GG_LSQHES { + + public void eval() { + for (int i = 0; i < this.NVAR * this.NVAR; i++) { + this.HX[i] = 0.0; + } + + double sum21 = 0.0, sum22 = 0.0, sum43 = 0.0, sum44 = 0.0, sum65 = 0.0, sum66 = 0.0; + + for (int i = 0; i < this.NRES; i++){ + sum21 = sum21 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[1] * this.RUSER[i])); + sum22 = sum22 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[0] * Math.exp(-this.X[1] * this.RUSER[i])); + sum43 = sum43 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[3] * this.RUSER[i])); + sum44 = sum44 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[2] * Math.exp(-this.X[3] * this.RUSER[i])); + sum65 = sum65 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[5] * this.RUSER[i])); + sum66 = sum66 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[4] * Math.exp(-this.X[5] * this.RUSER[i])); + } + + this.HX[(2-1) + (1-1) * this.NVAR] = sum21; + this.HX[(1-1) + (2-1) * this.NVAR] = this.HX[(2-1) + (1-1) * this.NVAR]; + this.HX[(2-1) + (2-1) * this.NVAR] = sum22; + this.HX[(4-1) + (3-1) * this.NVAR] = sum43; + this.HX[(3-1) + (4-1) * this.NVAR] = this.HX[(4-1) + (3-1) * this.NVAR]; + this.HX[(4-1) + (4-1) * this.NVAR] = sum44; + this.HX[(6-1) + (5-1) * this.NVAR] = sum65; + this.HX[(5-1) + (6-1) * this.NVAR] = this.HX[(6-1) + (5-1) * this.NVAR]; + this.HX[(6-1) + (6-1) * this.NVAR] = sum66; + + this.INFORM = 0; + } + } + + public static class MONIT extends E04GG.Abstract_E04GG_MONIT { + + public void eval() { + E04FFU e04ffu = new E04FFU(); + e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, + this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ffu.getINFORM(); + } + } + + public static class LSQHPRD extends E04GG.Abstract_E04GG_LSQHPRD { + + public void eval() { + E04GGV e04ggv = new E04GGV(); + e04ggv.eval(this.NVAR, this.X, this.Y, this.NRES, this.HXY, + this.INFORM, this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ggv.getINFORM(); + } + } + +} diff --git a/simple_examples/source/int32/E04MTJE.java b/simple_examples/source/int32/E04MTJE.java new file mode 100644 index 0000000..6272e91 --- /dev/null +++ b/simple_examples/source/int32/E04MTJE.java @@ -0,0 +1,132 @@ +import com.nag.routines.E04.E04MT; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RF; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RJ; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04ZM; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.Arrays; + +/** + * E04MT example program text. + */ +public class E04MTJE { + + public static void main(String[] args) throws IOException { + + System.out.println(" E04MTJ Example Program Results"); + int m = 7; + int n = 7; + int nnza = 41; + int nnzc = 7; + int nnzu = 2*n + 2*m; + + int[] cindex = {1,2,3,4,5,6,7}; + double[] c = {-0.02,-0.20,-0.20,-0.20,-0.20, 0.04, 0.04}; + int[] irowa = {1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3, + 4,4,4,4,4,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7}; + int[] icola = {1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,4,5,6, + 1,2,3,4,5,1,2,5,1,2,3,4,5,6,1,2,3,4,5,6,7}; + double[] a = {1.00, 1.00, 1.00, 1.00, 1.00, 1.00, 1.00, + 0.15, 0.04, 0.02, 0.04, 0.02, 0.01, 0.03, + 0.03, 0.05, 0.08, 0.02, 0.06, 0.01,0.02, + 0.04, 0.01, 0.02, 0.02,0.02, 0.03, 0.01,0.70, + 0.75, 0.80, 0.75, 0.80, 0.97,0.02, 0.06, 0.08, + 0.12, 0.02, 0.01, 0.97}; + double[] bla = {-0.13,-1.0e20,-1.0e20,-1.0e20,-1.0e20, + -0.0992,-0.003}; + double[] bua = {-0.13,-0.0049,-0.0064,-0.0037,-0.0012, + 1.0e20, 0.002}; + double[] xl = {-0.01,-0.1,-0.01,-0.04,-0.1,-0.01,-0.01}; + double[] xu = {0.01,0.15,0.03,0.02,0.05,1.0e20,1.0e20}; + double[] dArrData = new double[nnza+2*m+3*n+nnzc+nnzu]; + + long handle = 0; + int ifail = 0; + E04RA e04ra = new E04RA(handle,n,ifail); + e04ra.eval(); + + handle = e04ra.getHANDLE(); + + int[] icolh = new int[1]; + int[] irowh = new int[1]; + double[] h = new double[1]; + E04RF e04rf = new E04RF(handle,nnzc,cindex,c,0,irowh,icolh,h,ifail); + e04rf.eval(); + handle = e04ra.getHANDLE(); + + E04RH e04rh = new E04RH(handle,n,xl,xu,ifail); + e04rh.eval(); + handle = e04rh.getHANDLE(); + + int idlc = 0; + E04RJ e04rj = new E04RJ(handle,m,bla,bua,nnza,irowa,icola,a,idlc,ifail); + e04rj.eval(); + handle = e04rj.getHANDLE(); + + E04ZM e04zm = new E04ZM(handle,"LPIPM Monitor Frequency = 1",ifail); + e04zm.eval(); + e04zm.setOPTSTR("LPIPM Stop Tolerance = 1.0e-10"); + e04zm.eval(); + e04zm.setOPTSTR("Print Solution = YES"); + e04zm.eval(); + e04zm.setOPTSTR("Print Options = NO"); + e04zm.eval(); + e04zm.setOPTSTR("LPIPM Centrality Correctors = -6"); + e04zm.eval(); + handle = e04zm.getHANDLE(); + + long cpuser = 2; + int[] iuser = {1}; + double[] ruser = new double[1]; + ifail = -1; + MONIT monit = new MONIT(); + double[] x = new double[n], u = new double[nnzu]; + double[] rinfo = new double[100], stats = new double[100]; + System.out.println(); + System.out.println("++++++++++ Use the Primal-Dual algorithm ++++++++++"); + E04MT e04mt = new E04MT(handle,n,x,nnzu,u,rinfo,stats, + monit,iuser,ruser,cpuser,ifail); + e04mt.eval(); + System.out.println(); + System.out.println("++++++++++ Use the Self-Dual algorithm ++++++++++"); + e04zm.setOPTSTR("LPIPM Algorithm = Self-Dual"); + e04zm.eval(); + e04zm.setOPTSTR("LPIPM Stop Tolerance 2 = 1.0e-11"); + e04zm.eval(); + iuser[0] = 2; + e04mt.setIFAIL(-1); + e04mt.setHANDLE(e04zm.getHANDLE()); + e04mt.setIUSER(iuser); + e04mt.eval(); + + } + + public static class MONIT extends E04MT.Abstract_E04MT_MONIT { + + public void eval() { + + double tol = 1.2e-8; + + if (IUSER[0] == 1) { + if ((RINFO[4] < tol) && (RINFO[5] < tol) && (RINFO[6] < tol)) { + System.out.println("Iteration " + Integer.toString((int)STATS[0])); + System.out.printf(" monit() reports good approximate solution (tol = %5.2E):\n", tol); + } + } + else { + if ((RINFO[14] < tol) && (RINFO[15] < tol) && (RINFO[16] < tol) && (RINFO[17] < tol)) { + System.out.println("Iteration " + Integer.toString((int)STATS[0])); + System.out.printf(" monit() reports good approximate solution (tol = %5.2E):\n", tol); + } + } + + } + + } + +} diff --git a/simple_examples/source/int32/E04MXJE.java b/simple_examples/source/int32/E04MXJE.java new file mode 100644 index 0000000..642a933 --- /dev/null +++ b/simple_examples/source/int32/E04MXJE.java @@ -0,0 +1,292 @@ +import com.nag.routines.E04.E04MX; +import com.nag.routines.E04.E04NP; +import com.nag.routines.E04.E04NQ; +import com.nag.routines.E04.E04NS; +import com.nag.routines.E04.E04NT; +import com.nag.routines.X04.X04AC; +import com.nag.routines.X04.X04AD; +import java.util.Arrays; + +/** + * E04MX example program text. + */ +public class E04MXJE { + + public static void main(String[] args) { + + /* Parameters */ + int lencw = 600, leniw = 600, lenrw = 600, mpslst = 1, nin = 7, nout = 6; + boolean readints = false; + String fname = args[0]; + /* Local Scalars */ + double obj, objadd, sinf; + int i, ifail, iobj, lenc, lintvar, m, maxlintvar, maxm, maxn, maxncolh, + maxnnz, maxnnzh, minmax, mode, n, ncolh, ninf, nname, nnz, nnzh, ns; + boolean verboseOutput; + String start; + /* Local Arrays */ + double[] a, bl, bu, c, h, pi, rc, ruser, rw, x; + int[] helast, hs, iccola, iccolh, intvar, irowa, irowh, iuser, iw; + String[] crname, cw; + String[] cuser = new String[1], pnames = new String[5]; + cuser[0] = " "; + for (int j = 0; j < 5; j++) { + pnames[j] = " "; + } + + System.out.println(" E04MXJ Example Program Results"); + + // Initialize + for (int j = 0; j < 5; j++) { + pnames[j] = " "; + } + maxm = 0; + maxn = 0; + maxnnz = 0; + maxnnzh = 0; + maxncolh = 0; + maxlintvar = 0; + + // Open the data file for reading + X04AC x04ac = new X04AC(); + mode = 0; + ifail = 0; + x04ac.eval(nin, fname, mode, ifail); + + // Prep call to E04MX in query mode + E04MX e04mx = new E04MX(); + a = new double[1]; + irowa = new int[1]; + iccola = new int[1]; + bl = new double[1]; + bu = new double[1]; + crname = new String[]{" "}; + h = new double[1]; + irowh = new int[1]; + iccolh = new int[1]; + intvar = new int[1]; + ifail = 0; + + // Placeholders for output only scalars + n = 0; + m = 0; + nnz = 0; + ncolh = 0; + nnzh = 0; + lintvar = 0; + iobj = 0; + nname = 0; + minmax = 0; + + // Make call to E04MX + e04mx.eval(nin, maxn, maxm, maxnnz, maxncolh, maxnnzh, maxlintvar, + mpslst, n, m, nnz, ncolh, nnzh, lintvar, iobj, a, irowa, + iccola, bl, bu, pnames, nname, crname, h, irowh, iccolh, + minmax, intvar, ifail); + + // Get output scalar values + n = e04mx.getN(); + m = e04mx.getM(); + nnz = e04mx.getNNZ(); + ncolh = e04mx.getNCOLH(); + nnzh = e04mx.getNNZH(); + lintvar = e04mx.getLINTVAR(); + iobj = e04mx.getIOBJ(); + nname = e04mx.getNNAME(); + minmax = e04mx.getMINMAX(); + ifail = e04mx.getIFAIL(); + + // Close file + X04AD x04ad = new X04AD(); + ifail = 0; + x04ad.eval(nin, ifail); + + // Set maxm, maxn and maxnnz + maxm = m; + maxn = n; + maxnnz = nnz; + maxnnzh = nnzh; + maxncolh = ncolh; + maxlintvar = (readints) ? lintvar : 1; + + // Allocate memory + irowa = new int[maxnnz]; + iccola = new int[maxn + 1]; + a = new double[maxnnz]; + bl = new double[maxn + maxm]; + bu = new double[maxn + maxm]; + crname = new String[maxn + maxm]; + for (int j = 0; j < (maxn + maxm); j++) { + crname[j] = " "; + } + irowh = new int[maxnnzh]; + iccolh = new int[maxncolh + 1]; + h = new double[maxnnzh]; + intvar = new int[maxlintvar]; + + // Open the data file for reading + mode = 0; + ifail = 0; + x04ac.eval(nin, fname, mode, ifail); + + // Call E04MX to read the problem + ifail = 0; + e04mx.eval(nin, maxn, maxm, maxnnz, maxncolh, maxnnzh, maxlintvar, + mpslst, n, m, nnz, ncolh, nnzh, lintvar, iobj, a, irowa, + iccola, bl, bu, pnames, nname, crname, h, irowh, iccolh, + minmax, intvar, ifail); + n = e04mx.getN(); + m = e04mx.getM(); + nnz = e04mx.getNNZ(); + ncolh = e04mx.getNCOLH(); + nnzh = e04mx.getNNZH(); + lintvar = e04mx.getLINTVAR(); + iobj = e04mx.getIOBJ(); + nname = e04mx.getNNAME(); + minmax = e04mx.getMINMAX(); + ifail = e04mx.getIFAIL(); + + // Close the data file + ifail = 0; + x04ad.eval(nin, ifail); + + /* Data has been read. Set up and run the solver */ + + iw = new int[leniw]; + rw = new double[lenrw]; + cw = new String[lencw]; + for (int j = 0; j < lencw; j++) { + cw[j] = " "; + } + + // Call E04NP to initialize workspace + E04NP e04np = new E04NP(); + ifail = 0; + e04np.eval(cw, lencw, iw, leniw, rw, lenrw, ifail); + + // Call option setter E04NS to change the direction of optimization. + // Minimization is assumed by default. + E04NS e04ns = new E04NS(); + if (minmax == 1) { + ifail = 0; + e04ns.eval("Maximize", cw, iw, rw, ifail); + } + else if (minmax == 0) { + ifail = 0; + e04ns.eval("Feasible Point", cw, iw, rw, ifail); + } + + // Set this to TRUE to cause E04NQ to produce intermediate progress output + verboseOutput = false; + + if (verboseOutput) { + // By default E04NQ does not print monitoring information. Set the print + // file unit or the summary file unit to get information. + E04NT e04nt = new E04NT(); + ifail = 0; + e04nt.eval("Print file", nout, cw, iw, rw, ifail); + } + else { + System.out.printf(" \n Problem contains %3d variables and %3d linear constraints\n", n, m); + } + + // We have no explicit objective vector so set LENC = 0; the objective vector + // is stored in row IOBJ of ACOL. + lenc = 0; + objadd = 0.0; + start = "C"; + + c = new double[Math.max(1, lenc)]; + helast = new int[n + m]; + x = new double[n + m]; + pi = new double[m]; + rc = new double[n + m]; + hs = new int[n + m]; + iuser = new int[ncolh + 1 + nnzh]; + ruser = new double[nnzh]; + + if (ncolh > 0) { + // Store the non zeros of H in ruser for use by qphx + for (int j = 0; j < nnzh; j++) { + ruser[j] = h[j]; + } + // Store iccolh and irowh in iuser for use by qphx + for (int j = 0; j < ncolh + 1; j++) { + iuser[j] = iccolh[j]; + } + for (int j = 0; j < nnzh; j++) { + iuser[j + ncolh + 1] = irowh[j]; + } + + } + + // Call E04NQ to solve the problem + E04NQ e04nq = new E04NQ(); + QPHX qphx = new QPHX(); + ns = 0; + ninf = 0; + sinf = 0.0; + obj = 0.0; + ifail = 0; + e04nq.eval(start, qphx, m, n, nnz, nname, lenc, ncolh, iobj, objadd, + pnames[0], a, irowa, iccola, bl, bu, c, crname, helast, hs, + x, pi, rc, ns, ninf, sinf, obj, cw, lencw, iw, leniw, rw, + lenrw,cuser,iuser,ruser,ifail); + ns = e04nq.getNS(); + ninf = e04nq.getNINF(); + sinf = e04nq.getSINF(); + obj = e04nq.getOBJ(); + ifail = e04nq.getIFAIL(); + + if (!verboseOutput) { + System.out.println(); + System.out.printf(" Final objective value = %11.3E\n", obj); + System.out.printf(" Optimal X = \n"); + System.out.printf(" "); + for (int j = 0; j < n; j++) { + System.out.printf("%9.2f", x[j]); + } + System.out.printf("\n"); + } + + } + + public static class QPHX extends E04NQ.Abstract_E04NQ_QPHX { + + /** + * Subroutine to compute H*x. + * Note: IUSER and RUSER contain the following data: + * RUSER(1:NNZH) = H(1:NNZH) + * IUSER(1:NCOLH+1) = ICCOLH(1:NCOLH+1) + * IUSER(NCOLH+2:NNZH+NCOLH+1) = IROWH(1:NNZH) + */ + public void eval() { + /* Local Scalars */ + int end, icol, idx, irow, start; + + Arrays.fill(HX, 0.0); + + for (icol = 0; icol < this.NCOLH + 1; ++icol) { + + start = this.IUSER[icol] - 1; + end = IUSER[icol+1] - 2; + + for (idx = start; idx < end + 1; ++idx) { + + irow = this.IUSER[this.NCOLH + 1 + idx] - 1; + this.HX[irow] += this.X[icol] * this.RUSER[idx]; + + if (irow != icol) { + this.HX[icol] += this.X[irow] * this.RUSER[idx]; + } + + } + + } + + } + + } + + +} diff --git a/simple_examples/source/int32/E04NCJE.java b/simple_examples/source/int32/E04NCJE.java new file mode 100644 index 0000000..d6c3010 --- /dev/null +++ b/simple_examples/source/int32/E04NCJE.java @@ -0,0 +1,246 @@ +import static java.lang.Math.max; + +import com.nag.routines.E04.E04NC; +import com.nag.routines.E04.E04WB; +import com.nag.routines.F06.DGEMV; +import java.io.BufferedReader; +import java.io.FileReader; +import java.text.NumberFormat; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * E04NC example program text. + * @author ludovic + */ +public class E04NCJE { + + public static void main(String[] args) { + + double one = 1.0; + double zero = 0.0; + int inc1 = 1, lcwsav = 1, liwsav = 610, + llwsav = 120, lrwsav = 475, nin = 5, + nout = 6; + double obj; + int i, ifail, iter, lda, ldc, liwork, + lwork, m, n, nclin, sdc; + double[] a, b, bl, bu, c, + clamda, cvec, work, x; + double[] rwsav = new double[lrwsav]; + int[] istate, iwork, kx; + int[] iwsav = new int[liwsav]; + boolean[] lwsav = new boolean[llwsav]; + String[] cwsav = new String[lcwsav]; + + System.out.println(" E04NCJ Example Program Results"); + try { + + BufferedReader br = new BufferedReader(new FileReader(args[0])); + String line = br.readLine(); // read the header + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + String[] data = line.split("\\s+"); + m = Integer.parseInt(data[0]); + n = Integer.parseInt(data[1]); + nclin = Integer.parseInt(data[2]); + + liwork = n; + ldc = max(1,nclin); + lda = max(1,m); + + if (nclin > 0) { + sdc = n; + } + else { + sdc = 1; + } + + /* This particular example problem is of type LS1, so we allocate + * A(LDA,N), CVEC(1), B(M) and define LWORK as below + */ + if (nclin > 0) { + lwork = 2*n*n + 9*n + 6*nclin; + } + else { + lwork = 9*n; + } + + /* + * 2Ds arrays (size [n,m]) are stored in 1D arrays of size n*m, ordered by column + * ie: + * 1 1 1 + * 2 2 2 + * 3 3 3 + * + * is stored [1,2,3,1,2,3,1,2,3] + */ + istate = new int[n+nclin]; + kx = new int[n]; + iwork = new int[liwork]; + c = new double[ldc*sdc]; + bl = new double[n+nclin]; + bu = new double[n+nclin]; + cvec = new double[1]; + x = new double[n]; + a = new double[lda * n]; + b = new double[m]; + clamda = new double[n+nclin]; + work = new double[lwork]; + + /* + * Extra arrays to initialize: + */ + for (int ii = 0; ii < cwsav.length; ++ii) { + // 80 characters long... + cwsav[ii] + = " "; + } + + for (int ii = 0; ii < lda; ++ii) { + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int jj = 0; jj < n; ++jj) { + a[lda*jj+ii] = Double.parseDouble(data[jj]); + } + } + + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + + for (int ii = 0; ii < m; ++ii) { + b[ii] = Double.parseDouble(data[ii]); + } + + for (int ii = 0; ii < ldc; ++ii) { + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int jj = 0; jj < sdc; ++jj) { + c[ldc*jj+ii] = Double.parseDouble(data[jj]); + } + } + + //bl and bu to complicated to read properly -> hardcoded + line = br.readLine(); + line = br.readLine(); + bl[0] = 0.0; + bl[1] = 0.0; + bl[2] = -1.0E+25; + bl[3] = 0.0; + bl[4] = 0.0; + bl[5] = 0.0; + bl[6] = 0.0; + bl[7] = 0.0; + bl[8] = 0.0; + bl[9] = 2.0; + bl[10] = -1.0E+25; + bl[11] = 1.0; + + line = br.readLine(); + line = br.readLine(); + bu[0] = 2.0; + bu[1] = 2.0; + bu[2] = 2.0; + bu[3] = 2.0; + bu[4] = 2.0; + bu[5] = 2.0; + bu[6] = 2.0; + bu[7] = 2.0; + bu[8] = 2.0; + bu[9] = 1.0E+25; + bu[10] = 2.0; + bu[11] = 4.0; + + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int ii = 0; ii < n; ++ii) { + x[ii] = Double.parseDouble(data[ii]); + } + + // CALL TO E04WBF + ifail = 0; + String routname = "E04NCA"; + E04WB e04wb = new E04WB(routname, cwsav, lcwsav, lwsav, llwsav, iwsav, liwsav, rwsav, + lrwsav, ifail); + e04wb.eval(); + cwsav = e04wb.getCWSAV(); + iwsav = e04wb.getIWSAV(); + lwsav = e04wb.getLWSAV(); + rwsav = e04wb.getRWSAV(); + + // CALL TO E04NCF + ifail = -1; + + /* Java needs these to be initialized, so set it to an impossible value + * to trap possible error later */ + iter = Integer.MIN_VALUE; + obj = Double.NaN; + + E04NC e04nc = new E04NC(m,n,nclin,ldc,lda,c,bl,bu,cvec,istate,kx,x,a,b,iter,obj, + clamda,iwork,liwork,work,lwork,lwsav,iwsav,rwsav,ifail); + e04nc.eval(); + + // Getting ifail's value back + ifail = e04nc.getIFAIL(); + + switch (ifail) { + case 0: + case 1: + case 2: + case 3: + case 4: + case 5: + case 7: + System.out.println("\n Varbl Istate Value Lagr Mult\n"); + + for (i = 0; i < n; ++i) { + System.out.printf(" V %3d %3d %14.3E %12.3E\n",(i+1), istate[i],x[i], clamda[i]); + } + + if (nclin > 0) { + DGEMV dgemv = new DGEMV(); + dgemv.eval("N",nclin,n,one,c,ldc,x,inc1,zero,work,inc1); + System.out.println("\n\n L Con Istate Value Lagr Mult\n"); + for (int ii = 0; ii < nclin; ++ii) { + System.out.printf(" L %3d %3d %14.3E %12.3E\n", + ii+1,istate[ii+n],work[ii],clamda[ii+n]); + } + } + + System.out.printf("\n\n Final objective value = %15.3E\n",e04nc.getOBJ()); + break; + default: + if (ifail > 7) { + System.out.println(" Varbl Istate Value Lagr Mult"); + for (i = 0; i < n; ++i) { + System.out.printf(" V %3d %3d %14.3E %12.3E)\n",(i+1), istate[i],x[i], clamda[i]); + } + + if (nclin > 0) { + DGEMV dgemv = new DGEMV(); + dgemv.eval("N",nclin,n,one,c,ldc,x,inc1,zero,work,inc1); + System.out.println(" L Con Istate Value Lagr Mult"); + for (int ii = 0; ii < nclin; ++ii) { + System.out.printf(" L %3d %3d %14.3E %12.3E\n", + ii+1,istate[ii+n],work[ii],clamda[ii+n]); + } + } + + System.out.printf("Final objective value is: %15.7f\n",e04nc.getOBJ()); + } + else { + System.out.println("E04NC returned with IFAIL = "+e04nc.getIFAIL()); + } + } + } + catch (Exception ex) { + Logger.getLogger(E04NCJE.class.getName()).log(Level.SEVERE, null, ex); + } + + } + +} diff --git a/simple_examples/source/int32/E04NFJE.java b/simple_examples/source/int32/E04NFJE.java new file mode 100644 index 0000000..e341f9f --- /dev/null +++ b/simple_examples/source/int32/E04NFJE.java @@ -0,0 +1,234 @@ +import com.nag.routines.E04.E04NF; +import com.nag.routines.E04.E04NH; +import com.nag.routines.E04.E04WB; +import com.nag.routines.E04.E54NFU; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.text.NumberFormat; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * E04NF example program text. + */ +public class E04NFJE { + + public static void main(String[] args) { + + /* Local Scalars */ + double obj; + int i, ifail, iter, lda, ldh, liwork, lwork, n, nclin, sda; + /* Local Arrays */ + double[] a, ax, bl, bu, clamda, cvec, h, work, x; + int[] istate, iwork; + + try { + + System.out.println(" E04NFJ Example Program Results"); + + if (args.length == 0) { + System.err.println("You need to provide the path to the data file e04nfae.d"); + System.exit(-1); + } + + // Read data from file + DataFile datafile = new DataFile(args[0]); + datafile.read(); + + liwork = 2 * datafile.n + 3; + lda = Math.max(1, datafile.nclin); + + sda = (datafile.nclin > 0) ? datafile.n : 1; + + // This particular example problem is of type QP2 with H stored explicitly, + // so we allocate CVEC(N) and H(LDH,N), and define LDH and LWORK as below + ldh = datafile.n; + + if (datafile.nclin > 0) { + lwork = 2 * datafile.n * datafile.n + 8 * datafile.n + 5 * datafile.nclin; + } + else { + lwork = datafile.n * datafile.n + 8 * datafile.n; + } + + istate = new int[datafile.n + datafile.nclin]; + ax = new double[Math.max(1, datafile.nclin)]; + iwork = new int[liwork]; + // h, bl, bu, cvec, x, a: already read from data file + clamda = new double[datafile.n + datafile.nclin]; + work = new double[lwork]; + + // Init routine + E04WB e04wb = new E04WB(); + int lcwsav = 1, liwsav = 610, llwsav = 120, lrwsav = 475; + String[] cwsav = new String[lcwsav]; + cwsav[0] + = " "; + int[] iwsav = new int[liwsav]; + boolean[] lwsav = new boolean[llwsav]; + double[] rwsav = new double[lrwsav]; + ifail = 0; + e04wb.eval("E04NFA", cwsav, lcwsav, lwsav, llwsav, iwsav, liwsav, rwsav, lrwsav, ifail); + + // Set print level to match E04NFF example output + E04NH e04nh = new E04NH(); + int inform = 0; + e04nh.eval("Print Level = 10", lwsav, iwsav, rwsav, inform); + + // Solve the problem + E04NF e04nf = new E04NF(); + double[] ruser = new double[1]; + int[] iuser = new int[1]; + iter = 0; + obj = Double.NaN; + ifail = 0; + e04nf.eval(datafile.n, datafile.nclin, datafile.a, datafile.lda, datafile.bl, + datafile.bu, datafile.cvec, datafile.h, datafile.ldh, new QPHESS(), istate, + datafile.x, iter, obj, ax, clamda, iwork, liwork, work, lwork, + iuser, ruser, lwsav, iwsav, rwsav, ifail); + + ifail = e04nf.getIFAIL(); + + } + catch (Exception ex) { + Logger.getLogger(E04NFJE.class.getName()).log(Level.SEVERE, null, ex); + } + + } + + /** Using E54NFU as a default. */ + public static class QPHESS extends E54NFU implements E04NF.E04NF_QPHESS { + + public void eval() { + super.eval(); + } + + } + + public static class DataFile { + + public String filename; + public int n, nclin, lda, sda, ldh; + public double[] cvec, a, bl, bu, x, h; + + public DataFile(String filename) { + this.filename = filename; + } + + public void read() throws FileNotFoundException, IOException { + BufferedReader dataIn = new BufferedReader(new FileReader(filename)); + String line = dataIn.readLine(); // skipping header + line = dataIn.readLine().trim(); + String[] lines = line.split(":");//removing comments + String[] dataLine = lines[0].split("\\s+"); + if (dataLine.length != 2) { + System.err.println("Something went wrong when reading the data file" + + " - can't read n and nclin!"); + System.exit(1); + } + n = Integer.parseInt(dataLine[0]); + nclin = Integer.parseInt(dataLine[1]); + + lda = Math.max(1, nclin); + + if (nclin > 0) { + sda = n; + } + else { + sda = 1; + } + ldh = n; + + cvec = new double[n]; + a = new double[lda * sda]; + bl = new double[n + nclin]; + bu = new double[n + nclin]; + x = new double[n]; + h = new double[ldh * n]; + + //reading cvec + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for cvec"); + System.exit(1); + } + + for (int i = 0; i < n; ++i) { + cvec[i] = Double.parseDouble(dataLine[i].trim().replaceAll("D", "E")); + } + + //reading a + for (int i = 0; i < lda; ++i) { + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != sda) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for a"); + System.exit(1); + } + for (int j = 0; j < sda; ++j) { + a[i + j * lda] = Double.parseDouble(dataLine[j].trim().replaceAll("D", "E")); + } + } + + //reading bl + //it's on two lines in the data file, so we need to merge them + line = dataIn.readLine().trim().split(":")[0].trim() + " " + + dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n + nclin) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for bl"); + System.exit(1); + } + for (int i = 0; i < n + nclin; ++i) { + bl[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + //reading bu + //it's on two lines in the data file, so we need to merge them + line = dataIn.readLine().trim().split(":")[0].trim() + " " + + dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n + nclin) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for bu"); + System.exit(1); + } + for (int i = 0; i < n + nclin; ++i) { + bu[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for x"); + System.exit(1); + } + for (int i = 0; i < n; ++i) { + x[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + for (int i = 0; i < ldh; ++i) { + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file" + + " - not enought or too many data for h at line " + i); + System.exit(1); + } + for (int j = 0; j < n; ++j) { + h[i + j * ldh] = Double.parseDouble(dataLine[j].replaceAll("D", "E")); + } + } + + + } + } + +} diff --git a/simple_examples/source/int32/E04NKJE.java b/simple_examples/source/int32/E04NKJE.java new file mode 100644 index 0000000..604ee66 --- /dev/null +++ b/simple_examples/source/int32/E04NKJE.java @@ -0,0 +1,295 @@ +import com.nag.routines.E04.E04NK; +import com.nag.routines.E04.E04WB; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * E04NKJ Example Program Text + * @author willa + * @since 27.1.0.0 + */ +public class E04NKJE{ + private static int lcwsav = 1; + private static int liwsav = 380; + private static int llwsav = 20; + private static int lrwsav = 285; + + /** + * E04NKJ Example main program. + */ + public static void main(String[] args){ + double obj, sinf; + int icol, ifail, iobj, jcol, leniz, lenz, m, miniz, minz, n, ncolh, ninf, nname, nnz, ns, i; + String start; + double[] a, bl, bu, clamda, xs, z, ruser, rwsav; + int[] ha, istate, iz, ka, iuser, iwsav; + boolean[] lwsav; + String[] crname, cwsav, names; + + System.out.println("E04NKJ Example Program Results"); + + ruser = new double[1]; + rwsav = new double[lrwsav]; + iuser = new int[1]; + iwsav = new int[liwsav]; + + cwsav = new String[lcwsav]; + //equivalent to ```Character (80) :: cwsav(lcwsav)``` + for(i = 0; i < lcwsav; i++){ + char[] chars = new char[80]; + Arrays.fill(chars, ' '); + cwsav[i] = new String(chars); + } + names = new String[5]; + //names all blank anyway this time + for(i = 0; i < 5; i++){ + char[] chars = new char[8]; + Arrays.fill(chars, ' '); + names[i] = new String(chars); + } + + //dummy arrays + crname = new String[0]; + + n = 7; + m = 8; + nnz = 48; + iobj = 8; + ncolh = 7; + start = "C"; + nname = 15; + + ha = new int[nnz]; + ka = new int[n + 1]; + istate = new int[n + m]; + a = new double[nnz]; + bl = new double[n + m]; + bu = new double[n + m]; + xs = new double[n + m]; + clamda = new double[n + m]; + crname = new String[nname]; + lwsav = new boolean[llwsav]; + + names[0] = " "; + names[1] = " "; + names[2] = " "; + names[3] = " "; + names[4] = " "; + + crname[0] = "...X1..."; + crname[1] = "...X2..."; + crname[2] = "...X3..."; + crname[3] = "...X4..."; + crname[4] = "...X5..."; + crname[5] = "...X6..."; + crname[6] = "...X7..."; + crname[7] = "..ROW1.."; + crname[8] = "..ROW2.."; + crname[9] = "..ROW3.."; + crname[10] = "..ROW4.."; + crname[11] = "..ROW5.."; + crname[12] = "..ROW6.."; + crname[13] = "..ROW7.."; + crname[14] = "..COST.."; + + //Matrix A. Set up KA + jcol = 1; + ka[0] = 1; + + a[0] = 0.02; ha[0] = 7; + a[1] = 0.02; ha[1] = 5; + a[2] = 0.03; ha[2] = 3; + a[3] = 1.00; ha[3] = 1; + a[4] = 0.70; ha[4] = 6; + a[5] = 0.02; ha[5] = 4; + a[6] = 0.15; ha[6] = 2; + a[7] = -200.00; ha[7] = 8; + a[8] = 0.06; ha[8] = 7; + a[9] = 0.75; ha[9] = 6; + a[10] = 0.03; ha[10] = 5; + a[11] = 0.04; ha[11] = 4; + a[12] = 0.05; ha[12] = 3; + a[13] = 0.04; ha[13] = 2; + a[14] = 1.00; ha[14] = 1; + a[15] = -2000.00; ha[15] = 8; + a[16] = 0.02; ha[16] = 2; + a[17] = 1.00; ha[17] = 1; + a[18] = 0.01; ha[18] = 4; + a[19] = 0.08; ha[19] = 3; + a[20] = 0.08; ha[20] = 7; + a[21] = 0.80; ha[21] = 6; + a[22] = -2000.00; ha[22] = 8; + a[23] = 1.00; ha[23] = 1; + a[24] = 0.12; ha[24] = 7; + a[25] = 0.02; ha[25] = 3; + a[26] = 0.02; ha[26] = 4; + a[27] = 0.75; ha[27] = 6; + a[28] = 0.04; ha[28] = 2; + a[29] = -2000.00; ha[29] = 8; + a[30] = 0.01; ha[30] = 5; + a[31] = 0.80; ha[31] = 6; + a[32] = 0.02; ha[32] = 7; + a[33] = 1.00; ha[33] = 1; + a[34] = 0.02; ha[34] = 2; + a[35] = 0.06; ha[35] = 3; + a[36] = 0.02; ha[36] = 4; + a[37] = -2000.00; ha[37] = 8; + a[38] = 1.00; ha[38] = 1; + a[39] = 0.01; ha[39] = 2; + a[40] = 0.01; ha[40] = 3; + a[41] = 0.97; ha[41] = 6; + a[42] = 0.01; ha[42] = 7; + a[43] = 400.00; ha[43] = 8; + a[44] = 0.97; ha[44] = 7; + a[45] = 0.03; ha[45] = 2; + a[46] = 1.00; ha[46] = 1; + a[47] = 400.00; ha[47] = 8; + + ka[1] = 9; + ka[2] = 17; + ka[3] = 24; + ka[4] = 31; + ka[5] = 39; + ka[6] = 45; + ka[7] = 49; + + bl[0] = 0.0; + bl[1] = 0.0; + bl[2] = 4.0e2; + bl[3] = 1.0e2; + bl[4] = 0.0; + bl[5] = 0.0; + bl[6] = 0.0; + bl[7] = 2.0e3; + bl[8] = -1.0e25; + bl[9] = -1.0e25; + bl[10] = -1.0e25; + bl[11] = -1.0e25; + bl[12] = 1.5e3; + bl[13] = 2.5e2; + bl[14] = -1.0e25; + + bu[0] = 2.0e2; + bu[1] = 2.5e3; + bu[2] = 8.0e2; + bu[3] = 7.0e2; + bu[4] = 1.5e3; + bu[5] = 1.0e25; + bu[6] = 1.0e25; + bu[7] = 2.0e3; + bu[8] = 6.0e1; + bu[9] = 1.0e2; + bu[10] = 4.0e1; + bu[11] = 3.0e1; + bu[12] = 1.0e25; + bu[13] = 3.0e2; + bu[14] = 1.0e25; + + istate[0] = 0; + istate[1] = 0; + istate[2] = 0; + istate[3] = 0; + istate[4] = 0; + istate[5] = 0; + istate[6] = 0; + istate[7] = 0; + + xs[0] = 0.0; + xs[1] = 0.0; + xs[2] = 0.0; + xs[3] = 0.0; + xs[4] = 0.0; + xs[5] = 0.0; + xs[6] = 0.0; + xs[7] = 0.0; + + ifail = 0; + E04WB e04wb = new E04WB("E04NKA",cwsav,lcwsav,lwsav,llwsav,iwsav,liwsav,rwsav, + lrwsav,ifail); + e04wb.eval(); + + leniz = 1; + lenz = 1; + iz = new int[leniz]; + z = new double[lenz]; + + QPHX qphx = new QPHX(); + + ifail = 1; + + //placeholders + ns = 0; + miniz = 0; + minz = 0; + ninf = 0; + sinf = 0.0; + obj = 0.0; + + E04NK e04nk = new E04NK(n,m,nnz,iobj,ncolh,qphx,a,ha,ka,bl,bu,start,names,nname, + crname,ns,xs,istate,miniz,minz,ninf,sinf,obj,clamda,iz, + leniz,z,lenz,iuser,ruser,lwsav,iwsav,rwsav,ifail); + e04nk.eval(); + ifail = e04nk.getIFAIL(); + + minz = e04nk.getMINZ(); + miniz = e04nk.getMINIZ(); + + lenz = minz; + leniz = miniz; + + iz = new int[leniz]; + z = new double[lenz]; + + ifail = -1; + + e04nk.eval(n,m,nnz,iobj,ncolh,qphx,a,ha,ka,bl,bu,start,names,nname,crname,ns,xs, + istate,miniz,minz,ninf,sinf,obj,clamda,iz,leniz,z,lenz,iuser,ruser, + lwsav,iwsav,rwsav,ifail); + + //update + ifail = e04nk.getIFAIL(); + obj = e04nk.getOBJ(); + + if(ifail == 0){ + System.out.println(); + System.out.println("\tVariable Istate Value Lagr Mult"); + System.out.println(); + + for(i = 0; i < n; i++){ + System.out.printf("\t%s\t%d\t%.6g\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); + } + + if(m > 0){ + System.out.println(); + System.out.println(); + System.out.println("\tConstrnt Istate Value\t\t Lagr Mult"); + System.out.println(); + + for(i = n; i < n + m - 1; i++){ + System.out.printf("\t%s\t%d\t%.6g\t\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); + } + System.out.printf("\t%s\t%d\t%.6g\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); + } + + System.out.println(); + System.out.println(); + System.out.printf("Final objetive value = %15.7g\n", obj); + } + + } + + public static class QPHX extends E04NK.Abstract_E04NK_QPHX{ + public void eval(){ + this.HX[0] = 2 * this.X[0]; + this.HX[1] = 2 * this.X[1]; + this.HX[2] = 2 * (this.X[2] + this.X[3]); + this.HX[3] = this.HX[2]; + this.HX[4] = 2 * this.X[4]; + this.HX[5] = 2 * (this.X[5] + this.X[6]); + this.HX[6] = this.HX[5]; + } + } +} diff --git a/simple_examples/source/int32/E04NQJE.java b/simple_examples/source/int32/E04NQJE.java new file mode 100644 index 0000000..6cf84fe --- /dev/null +++ b/simple_examples/source/int32/E04NQJE.java @@ -0,0 +1,384 @@ +import com.nag.routines.E04.E04NP; +import com.nag.routines.E04.E04NQ; +import com.nag.routines.E04.E04NT; +import java.io.BufferedReader; +import java.io.File; +import java.io.FileReader; +import java.io.IOException; +import java.util.Arrays; + +/** + * E04NQ example program text. + */ +public class E04NQJE { + + public static final int LENCW = 600; + public static final int LENIW = 600; + public static final int LENRW = 600; + public static final int NIN = 5; + public static final int NOUT = 6; + + public static void main(String[] args) throws IOException { + + /* Local Scalars */ + double obj, objadd, sinf; + int i, icol, ifail, iobj, jcol, lenc, m, n, ncolh, ne, ninf, nname, ns; + boolean verboseOutput; + String prob; // Length = 8 + String start; // Length = 1 + /* Local Arrays */ + double[] acol, bl, bu, c, pi, rc, x; + double[] ruser = new double[1], rw = new double[LENRW]; + int[] helast, hs, inda, loca; + int[] iuser = new int[1], iw = new int[LENIW]; + String[] cuser = new String[1], cw = new String[LENCW]; // Length = 8 + String[] names; // Length = 8 + /* Init String arrays with same length*/ + Arrays.fill(cuser, " "); + Arrays.fill(cw, " "); + + System.out.println(" E04NQJ Example Program Results"); + + /* Read data file */ + + if (args.length != 1) { + usage(); + } + BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); + String line; + + // Skip heading in data file + line = dataIn.readLine(); + + // Read n, m + line = dataIn.readLine(); + String[] data = line.split(":")[0].trim().split("\\s+"); + if (data.length != 2) { + System.out.println("Data file badly formatted - expected 2 ints separated by blank spaces.\n" + + line + "\n"+Arrays.toString(data)); + System.exit(1); + } + n = Integer.parseInt(data[0]); + m = Integer.parseInt(data[1]); + + // Read ne, iobj, ncolh, start, nname + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + if (data.length != 5) { + System.out.println("Data file badly formatted - expected 5 ints separated by blank spaces"); + System.exit(1); + } + ne = Integer.parseInt(data[0]); + iobj = Integer.parseInt(data[1]); + ncolh = Integer.parseInt(data[2]); + start = data[3].replaceAll("'",""); + nname = Integer.parseInt(data[4]); + + // Allocate + inda = new int[ne]; + loca = new int[n+1]; + helast = new int[n+m]; + hs = new int[n+m]; + acol = new double[ne]; + bl = new double[n+m]; + bu = new double[n+m]; + x = new double[n+m]; + pi = new double[m]; + rc = new double[n+m]; + names = new String[nname]; + + // Read names + line = dataIn.readLine(); // skipping blank line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + int nameIndex = 0; + int dataIndex = 0; + while (nameIndex < nname) { + names[nameIndex] = data[dataIndex].replaceAll("'", ""); + ++nameIndex; + ++dataIndex; + if (nameIndex < nname && dataIndex == data.length) { + //need to read one more line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + dataIndex = 0; + } + } + + // Read matrix + line = dataIn.readLine(); // skipping blank line + int locaIndex = 0; + int currentCol = 0; + for (i = 0; i < ne; ++i) { + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + if (data.length != 3) { + System.out.println("The line is not well formatted for input of A:\n\t"+line); + System.exit(1); + } + acol[i] = Double.parseDouble(data[0].replaceAll("d", "e").replaceAll("D", "e")); + inda[i] = Integer.parseInt(data[1]); + if (i == 0) { + loca[locaIndex] = 1;//storing for Fortran use: 1-based + ++locaIndex; + ++currentCol; + } + else { + int tmp = Integer.parseInt(data[2]); + if (tmp != currentCol) { + loca[locaIndex] = i+1; + ++currentCol; + ++locaIndex; + } + } + } + loca[n] = ne + 1; + + // Read bl + line = dataIn.readLine(); // skipping blank line + int blindex = 0; + dataIndex = 0; + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + while (blindex < bl.length) { + bl[blindex] = Double.parseDouble(data[dataIndex].replaceAll("d", "e").replaceAll("D", "e")); + ++blindex; + ++dataIndex; + if (blindex < bl.length && dataIndex == data.length) { + //need to read one more line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + dataIndex = 0; + } + } + + // Read bu + line = dataIn.readLine(); // skipping blank line + int buindex = 0; + dataIndex = 0; + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + while (buindex < bu.length) { + bu[buindex] = Double.parseDouble(data[dataIndex].replaceAll("d", "e").replaceAll("D", "e")); + ++buindex; + ++dataIndex; + if (buindex < bu.length && dataIndex == data.length) { + //need to read one more line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + dataIndex = 0; + } + } + + // Read hs + line = dataIn.readLine(); // skipping blank line + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + if (start.equalsIgnoreCase("C")) { + if (data.length != n) { + System.out.println("Wrong format for HS data.\n"); + System.exit(1); + } + } + else { + if (data.length != n+m) { + System.out.println("Wrong format for HS data.\n"); + System.exit(1); + } + } + for (i = 0; i < data.length; ++i) { + hs[i] = Integer.parseInt(data[i]); + } + + // Read x + line = dataIn.readLine(); + data = line.split(":")[0].trim().split("\\s+"); + if (data.length != n) { + System.out.println("Wrong format for X data."); + System.exit(1); + } + for (i = 0; i < data.length; ++i) { + x[i] = Double.parseDouble(data[i].replaceAll("d", "e").replaceAll("D", "e")); + } + + /* Done reading data file */ + + System.out.printf(" \n QP problem contains %3d variables and %3d linear constraints\n", n, m); + + /* Call E04NP to initialize E04NQ. */ + E04NP e04np = new E04NP(); + ifail = 0; + e04np.eval(cw,LENCW,iw,LENIW,rw,LENRW,ifail); + + /* Set this to .True. to cause e04nqf to produce intermediate + * progress output. */ + verboseOutput = true; + + if (verboseOutput) { + /* By default e04nqf does not print monitoring + * information. Set the print file unit or the summary + * file unit to get information. */ + E04NT e04nt = new E04NT(); + ifail = 0; + e04nt.eval("Print file", NOUT, cw, iw, rw, ifail); + } + + /* We have no explicit objective vector so set LENC = 0; the + * objective vector is stored in row IOBJ of ACOL. */ + lenc = 0; + c = new double[Math.max(1,lenc)]; + objadd = 0.0; + sinf = 0.0; + obj = Double.NaN; + prob = " "; + + /* Do not allow any elastic variables (i.e. they cannot be + * infeasible). If we'd set optional argument "Elastic mode" to 0, + * we wouldn't need to set the individual elements of array HELAST. */ + + for (int j = 0; j < (n+m); j++) { + helast[j] = 0; + } + + /* Solve the QP problem. */ + + E04NQ e04nq = new E04NQ(); + ifail = 0; + ns = 0; + ninf = 0; + e04nq.eval(start,new QPHX(ncolh),m,n,ne,nname,lenc,ncolh,iobj,objadd,prob,acol, + inda,loca,bl,bu,c,names,helast,hs,x,pi,rc,ns,ninf,sinf,obj,cw,LENCW, + iw,LENIW,rw,LENRW,cuser,iuser,ruser,ifail); + + System.out.println(); + System.out.printf(" Final objective value = %11.3E\n",e04nq.getOBJ()); + System.out.print(" Optimal X = "); + for (i = 0; i < n; ++i) { + System.out.printf("%9.2f ", x[i]); + } + System.out.println(); + + } + + private static void usage() { + System.out.println("Usage:\n" + + "\tjava -cp " + File.separator + "NAGJava.jar" + File.pathSeparator + + ". E04NQJE " + File.separator + "e04nqfe.d"); + System.exit(1); + } + + public static class QPHX implements E04NQ.E04NQ_QPHX { + + private int NCOLHREF; + + public QPHX(int NCOLHREF) { + this.NCOLHREF = NCOLHREF; + } + + // @Override + public void eval(int NCOLH, double[] X, double[] HX, int NSTATE, + String[] CUSER, int[] IUSER, double[] RUSER) { + + if (NCOLH != NCOLHREF) { + System.out.println("NCOLH value is wrong!"); + System.out.println("TEST FAILED"); + System.exit(1); + } + HX[0] = 2.0*X[0]; + HX[1] = 2.0*X[1]; + HX[2] = 2.0*(X[2]+X[3]); + HX[3] = HX[2]; + HX[4] = 2.0*X[4]; + HX[5] = 2.0*(X[5]+X[6]); + HX[6] = HX[5]; + + } + + private String[] CUSER; + private double[] HX,RUSER,X; + private int[] IUSER; + private int NCOLH, NSTATE; + + // @Override + public String[] getCUSER() { + return CUSER; + } + + // @Override + public double[] getHX() { + return HX; + } + + // @Override + public int[] getIUSER() { + return IUSER; + } + + // @Override + public int getNCOLH() { + return NCOLH; + } + + // @Override + public int getNSTATE() { + return NSTATE; + } + + // @Override + public double[] getRUSER() { + return RUSER; + } + + // @Override + public double[] getX() { + return X; + } + + // @Override + public void setCUSER(String[] arg0) { + CUSER = arg0; + + } + + // @Override + public void setHX(double[] arg0) { + HX = arg0; + + } + + // @Override + public void setIUSER(int[] arg0) { + IUSER = arg0; + + } + + // @Override + public void setNCOLH(int arg0) { + NCOLH = arg0; + + } + + // @Override + public void setNSTATE(int arg0) { + NSTATE = arg0; + + } + + // @Override + public void setRUSER(double[] arg0) { + RUSER = arg0; + + } + + // @Override + public void setX(double[] arg0) { + X = arg0; + + } + + } + + + + +} diff --git a/simple_examples/source/int32/E04PTJE.java b/simple_examples/source/int32/E04PTJE.java new file mode 100644 index 0000000..75303ac --- /dev/null +++ b/simple_examples/source/int32/E04PTJE.java @@ -0,0 +1,344 @@ +import com.nag.routines.E04.E04PT; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RB; +import com.nag.routines.E04.E04RE; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RJ; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.F08.DSYEVD; +import java.util.Arrays; + +/** + * E04PTJ example program text. + * @author joed + * @since 27.0.0.0 + */ +public class E04PTJE { + + + /** + * Monitoring function can be used to monitor the progress + * or, for example, to implement bespoke stopping criteria. + */ + private static class MONIT extends E04PT.Abstract_E04PT_MONIT { + + public void eval() { + + double tol = RUSER[0]; + int tolReached = IUSER[1]; + + // If x is close to the solution, print a message + if ((RINFO[14] < tol) && (RINFO[15] < tol) && (RINFO[16] < tol) && (RINFO[17] < tol)) { + if (tolReached == 0) { + System.out.println(); + System.out.printf("monit() reports good approximate solution (tol = %9.2E)\n", tol); + IUSER[1] = 1; + } + } + + } + + } + + + /** + * E04PTJ example main program. + */ + public static void main(String[] args) { + + DSYEVD dsyevd = new DSYEVD(); + E04PT e04pt = new E04PT(); + E04RA e04ra = new E04RA(); + E04RB e04rb = new E04RB(); + E04RE e04re = new E04RE(); + E04RH e04rh = new E04RH(); + E04RJ e04rj = new E04RJ(); + E04RZ e04rz = new E04RZ(); + E04ZM e04zm = new E04ZM(); + MONIT monit = new MONIT(); + + final int nqc = 1; + long cpuser, handle; + double r1; + int i, idgroup, idlc, idxa, ifail, j, liwork, lwork, m, n, na, nnza, nnzp0, + nnzp1, nnzu, nnzuc, nu, nv, nvarc1, nvarc2, rptr, xIdx; + boolean verboseOutput; + String ctype1, ctype2; // Length must be 8 + double[] a, bla, bua, c, f0, f1, lambda0, lambda1, p0, p1, q0, q1, u, uc, + work, x, xl, xu; + double[] rinfo = new double[100], ruser = new double[1], stats = new double[100]; + int[] icola, icolp0, icolp1, idxc1, idxc2, irowa, irowp0, irowp1, iwork; + int[] iuser = new int[2]; + + System.out.println("E04PTJ Example Program Results\n"); + + // Dimensions of the problem + n = 3; + nnzp0 = 6; + nnzp1 = 6; + + // Initialize size of linear constraints in SOCP + m = nqc; + na = n + nqc + 1; + nnza = nqc + n; + + // Initialize size of cone constraints + nvarc1 = 2; + nvarc2 = 2; + + // Set problem data + lwork = Math.max(2*n*n+6*n+1, 120+9*n); + liwork = 5*n + 3; + irowp0 = new int[]{1, 2, 3, 2, 3, 3}; + icolp0 = new int[]{1, 1, 1, 2, 2, 3}; + p0 = new double[]{0.493, 0.382, 0.270, 0.475, 0.448, 0.515}; + irowp1 = new int[]{1, 2, 3, 2, 3, 3}; + icolp1 = new int[]{1, 1, 1, 2, 2, 3}; + p1 = new double[]{0.737, 0.453, 1.002, 0.316, 0.635, 1.590}; + q0 = new double[]{0.847, 0.08, 0.505}; + q1 = new double[]{0.065, 0.428, 0.097}; + r1 = 1.276; + f0 = new double[n*n]; + f1 = new double[n*n]; + lambda0 = new double[n]; + lambda1 = new double[n]; + work = new double[lwork]; + iwork = new int[liwork]; + + // Store full P0 and P1 in F0 and F1 + Arrays.fill(f0, 0.0); + for (i = 0; i < nnzp0; i++) { + f0[getIdx(irowp0[i], icolp0[i], n)] = p0[i]; + } + Arrays.fill(f1, 0.0); + for (i = 0; i < nnzp1; i++) { + f1[getIdx(irowp1[i], icolp1[i], n)] = p1[i]; + } + + // Factorize P0 and P1 via eigenvalue decomposition + ifail = 0; + dsyevd.eval("V", "L", n, f0, n, lambda0, work, lwork, iwork, liwork, ifail); + dsyevd.eval("V", "L", n, f1, n, lambda1, work, lwork, iwork, liwork, ifail); + + // Fomulate F0 and F1 in P0 = F0'*F0, P1 = F1'*F1 + nu = 0; + nv = 0; + for (i = 1; i <= n; i++) { + if (lambda0[i-1] > 0) { + for (j = 1; j <= n; j++) { + f0[getIdx(j,i,n)] *= Math.sqrt(lambda0[i-1]); + } + m++; + nu++; + nnza += n; + } + if (lambda1[i-1] > 0) { + for (j = 1; j <= n; j++) { + f1[getIdx(j,i,n)] *= Math.sqrt(lambda1[i-1]); + } + m++; + nv++; + nnza += n; + } + } + nnza += nu + nv; + na += nu+ nv; + nvarc1 += nu; + nvarc2 += nv; + + // Add two fixed variable for two rotated quadratic cones + na += 2; + m += 2; + nnza += 2; + + // Compute size of multipliers + nnzu = 2*na + 2*m; + nnzuc = nvarc1 + nvarc2; + + // Initialize arrays to build SOCP + icola = new int[nnza]; + irowa = new int[nnza]; + a = new double[nnza]; + bla = new double[m]; + bua = new double[m]; + xl = new double[na]; + xu = new double[na]; + c = new double[na]; + x = new double[na]; + u = new double[nnzu]; + uc = new double[nnzuc]; + idxc1 = new int[nvarc1]; + idxc2 = new int[nvarc2]; + + // Build objective function parameter c + // [x, t1, u, v, y1, y2, t0] + Arrays.fill(c, 0.0); + for (j = 0; j < n; j++) { + c[j] = q0[j]; + } + c[na-1] = 1.0; + + // Build linear constraints parameter A + idxa = 0; + rptr = 0; + // q1 in First row + rptr++; + Arrays.fill(irowa, 0, n, rptr); + for (j = 0; j < n; j++) { + icola[j] = j+1; + a[j] = q1[j]; + } + idxa += n; + + // F0 in F0*x-u=0 row + for (i = 1; i <= n; i++) { + if (lambda0[i-1] > 0) { + rptr += 1; + for (j = 0; j < n; j++) { + irowa[idxa+j] = rptr; + icola[idxa+j] = j+1; + a[idxa+j] = f0[getIdx(j+1,i,n)]; + } + idxa += n; + } + } + // F1 in F1*x-v=0 row + for (i = 1; i <= n; i++) { + if (lambda1[i-1] > 0) { + rptr += 1; + for (j = 0; j < n; j++) { + irowa[idxa+j] = rptr; + icola[idxa+j] = j+1; + a[idxa+j] = f1[getIdx(j+1,i,n)]; + } + idxa += n; + } + } + // Rest of A, a diagonal matrix + for (j = 0; j < m; j++) { + irowa[idxa+j] = j+1; + icola[idxa+j] = n+j+1; + a[idxa+j] = 1.0; + } + for (j = 1; j < (nu+nv+1); j++) { + a[idxa+j] = -1.0; + } + // RHS in linear constraints + Arrays.fill(bla, 0.0); + Arrays.fill(bua, 0.0); + bla[0] = -r1; + bua[0] = -r1; + for (j = (m-nqc); j <= m; j++) { + bla[j-1] = 1.0; + bua[j-1] = 1.0; + } + + // Box constraints, all variables are free + Arrays.fill(xl, -1E+20); + Arrays.fill(xu, 1E+20); + + // Cone constraints + // First cone + idxc1[0] = na; + idxc1[1] = n + 1 + nu + nv + 1; + for (j = 2; j < nvarc1; j++) { + idxc1[j] = n + j; + } + ctype1 = "RQUAD "; + // Second cone + idxc2[0] = n + 1; + idxc2[1] = n + 1 + nu + nv + 2; + for (j = 2; j < nvarc2; j++) { + idxc2[j] = n + nu + j; + } + ctype2 = "RQUAD "; + + // Create the problem handle + handle = 0; + ifail = 0; + e04ra.eval(handle, na, ifail); + handle = e04ra.getHANDLE(); + + // Set objective function + ifail = 0; + e04re.eval(handle, na, c, ifail); + + // Set box constraints + ifail = 0; + e04rh.eval(handle, na, xl, xu, ifail); + + // Set linear constraints + ifail = 0; + idlc = 0; + e04rj.eval(handle, m, bla, bua, nnza, irowa, icola, a, idlc, ifail); + idlc = e04rj.getIDLC(); + + // Set first cone constraint + ifail = 0; + idgroup = 0; + e04rb.eval(handle, ctype1, nvarc1, idxc1, idgroup, ifail); + idgroup = e04rb.getIDGROUP(); + + // Set first cone constraint + ifail = 0; + idgroup = 0; + e04rb.eval(handle, ctype2, nvarc2, idxc2, idgroup, ifail); + idgroup = e04rb.getIDGROUP(); + + // Turn on monitoring + ifail = 0; + e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); + + /* Set this to true to cause e04pt to produce intermediate + * progress output */ + verboseOutput = false; + + if (verboseOutput) { + // Require printing of primal and dual solutions at the end of the solve + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + } + else { + // Turn off printing of intermediate progress output + ifail = 0; + e04zm.eval(handle, "Print Level = 1", ifail); + } + + // Call SOCP interior point solver + cpuser = 0; + iuser[0] = 0; // unused in this example + iuser[1] = 0; + ruser[0] = 1.0E-7; + ifail = -1; + e04pt.eval(handle, na, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, + ruser, cpuser, ifail); + ifail = e04pt.getIFAIL(); + + // Print solution if optimal or suboptimal solution found + if (ifail == 0 || ifail == 50) { + System.out.println(" Optimal X:"); + System.out.println(" x_idx Value "); + for (xIdx = 1; xIdx <= n; xIdx++) { + System.out.printf(" %5d %11.3E\n", xIdx, x[xIdx-1]); + } + } + + // Free the handle memory + ifail = 0; + e04rz.eval(handle, ifail); + + } + + + /** + * Convert from 2D Fortran index to 1D-column major Java index. + * @param x 1-based row index for a 2D array + * @param y 1-based column index for a 2D array + * @return the corresponding 0-based index for a 1D column-major array + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + +} diff --git a/simple_examples/source/int32/E04RPJE.java b/simple_examples/source/int32/E04RPJE.java new file mode 100644 index 0000000..d22d3d1 --- /dev/null +++ b/simple_examples/source/int32/E04RPJE.java @@ -0,0 +1,199 @@ +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RE; +import com.nag.routines.E04.E04RN; +import com.nag.routines.E04.E04RP; +import com.nag.routines.E04.E04RY; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04SV; + +/** + * E04RPJ Example Program Text + * @author willa + * @since 27.1.0.0 + */ + +public class E04RPJE{ + + /** + * E04RPJ Example main program + */ + public static void main(String[] args){ + int blkidx, dimaq, idblk, idlc, idx, idxend, ifail, inform, midx, nblk, nclin, + nnzasum, nnzb, nnzc, nnzh, nnzqsum, nnzu, nnzua, nnzuc, nq, nvar; + double[] a, b, bl, bu, cvec, h, q, x, rdummy, rinfo, stats; + int[] icola, icolb, icolh, icolq, idxc, irowa, irowb, irowh, irowq, nnza, + nnzq, qi, qj, idummy; + long cpuser, handle; + + rdummy = new double[1]; + rinfo = new double[32]; + stats = new double[32]; + idummy = new int[1]; + + System.out.println("E04RPJ Example Program Results"); + System.out.println(); + + //Problem size + nvar = 5; + nnzh = 0; + nclin = 0; + nnzb = 0; + nblk = 2; + + //Initialize handle to an empty problem + E04RA e04ra = new E04RA(); + handle = 0; + ifail = 0; + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + //Linear part of the objective function + cvec = new double[nvar]; + cvec[0] = 1; + cvec[1] = 0; + cvec[2] = 1; + cvec[3] = 0; + cvec[4] = 0; + + //Add the linear objetive function to the problem formulation + ifail = 0; + E04RE e04re = new E04RE(handle, nvar, cvec, ifail); + e04re.eval(); + + //Matrix inequalities + //block 1 + dimaq = 2; + nnzasum = 9; nnzqsum = 8; + idblk = 0; + + nnza = new int[nvar + 1]; + irowa = new int[nnzasum]; + icola = new int[nnzasum]; + a = new double[nnzasum]; + + nnza[0] = 2; + nnza[1] = 2; + nnza[2] = 3; + nnza[3] = 2; + nnza[4] = 0; + nnza[5] = 0; + + a[0] = 1.0; irowa[0] = 1; icola[0] = 1; + a[1] = 1.0; irowa[1] = 2; icola[1] = 2; + a[2] = 2.0; irowa[2] = 1; icola[2] = 1; + a[3] = -2.0; irowa[3] = 1; icola[3] = 2; + a[4] = 6.0; irowa[4] = 1; icola[4] = 1; + a[5] = 5.0; irowa[5] = 1; icola[5] = 2; + a[6] = -4.0; irowa[6] = 2; icola[6] = 2; + a[7] = 3.0; irowa[7] = 1; icola[7] = 2; + a[8] = 8.0; irowa[8] = 2; icola[8] = 2; + + idblk = 0; + ifail = 0; + //Add the linear matrix inequality to the problem formulation + E04RN e04rn = new E04RN(handle,nvar,dimaq,nnza,nnzasum,irowa,icola,a,1, + idummy,idblk,ifail); + e04rn.eval(); + //update + idblk = e04rn.getIDBLK(); + + nq = 6; + + qi = new int[nq]; + qj = new int[nq]; + nnzq = new int[nq]; + irowq = new int[nnzqsum]; + icolq = new int[nnzqsum]; + q = new double[nnzqsum]; + + qi[0] = 1; qj[0] = 4; + qi[1] = 2; qj[1] = 4; + qi[2] = 3; qj[2] = 4; + qi[3] = 1; qj[3] = 5; + qi[4] = 2; qj[4] = 5; + qi[5] = 3; qj[5] = 5; + + nnzq[0] = 1; + nnzq[1] = 2; + nnzq[2] = 1; + nnzq[3] = 1; + nnzq[4] = 2; + nnzq[5] = 1; + + q[0] = 2.0; irowq[0] = 1; icolq[0] = 1; + q[1] = 2.0; irowq[1] = 1; icolq[1] = 1; + q[2] = 1.0; irowq[2] = 1; icolq[2] = 2; + q[3] = 1.0; irowq[3] = 1; icolq[3] = 2; + q[4] = 1.0; irowq[4] = 1; icolq[4] = 2; + q[5] = 1.0; irowq[5] = 1; icolq[5] = 2; + q[6] = 2.0; irowq[6] = 2; icolq[6] = 2; + q[7] = 2.0; irowq[7] = 2; icolq[7] = 2; + + ifail = 0; + //Expand the existing linear matrix inequality with bilnear term + E04RP e04rp = new E04RP(handle,nq,qi,qj,dimaq,nnzq,nnzqsum,irowq,icolq, + q,idblk,ifail); + e04rp.eval(); + + //block 2 + dimaq = 2; + nnzasum = 5; + nnza = new int[nvar + 1]; + irowa = new int[nnzasum]; + icola = new int[nnzasum]; + a = new double[nnzasum]; + + nnza[0] = 2; + nnza[1] = 1; + nnza[2] = 1; + nnza[3] = 1; + nnza[4] = 0; + nnza[5] = 0; + + a[0] = 1.0; irowa[0] = 1; icola[0] = 1; + a[1] = 1.0; irowa[1] = 2; icola[1] = 2; + a[2] = 1.0; irowa[2] = 1; icola[2] = 1; + a[3] = 1.0; irowa[3] = 1; icola[3] = 2; + a[4] = 1.0; irowa[4] = 2; icola[4] = 2; + + idblk = 0; + ifail = 0; + //Add the linear matrix inequality to the problem formulation + e04rn = new E04RN(handle,nvar,dimaq,nnza,nnzasum,irowa,icola,a,1, + idummy,idblk,ifail); + e04rn.eval(); + + System.out.println("Passing SDP problem to solver"); + System.out.println(); + + ifail = 0; + //Print overview of handle + //nout = 6 is default output for fortran + E04RY e04ry = new E04RY(handle,6,"Overview,Matrix Constraints",ifail); + e04ry.eval(); + + //Allocate memory for the solver + x = new double[nvar]; + nnzu = 0; + nnzuc = 0; + nnzua = 0; + inform = 0; + for(int i = 0; i < nvar; i++){ + x[i] = 0.0; + } + + ifail = 0; + E04SV e04sv = new E04SV(handle,nvar,x,nnzu,rdummy,nnzuc,rdummy,nnzua,rdummy, + rinfo,stats,inform,ifail); + e04sv.eval(); + + //Destroy handle + ifail = 0; + E04RZ e04rz = new E04RZ(handle,ifail); + e04rz.eval(); + } + +} + + + diff --git a/simple_examples/source/int32/E04RSJE.java b/simple_examples/source/int32/E04RSJE.java new file mode 100644 index 0000000..d614fbb --- /dev/null +++ b/simple_examples/source/int32/E04RSJE.java @@ -0,0 +1,229 @@ +import com.nag.routines.E04.E04RS; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04PT; +import com.nag.routines.E04.E04RZ; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * E04RS + */ +public class E04RSJE { + + public static void main(String[] args) { + + final int nout = 6; + + long cpuser, handle = 0; + double s = 0.0; + int idqc, ifail, n = 0, nnzq0 = 0, nnzq1 = 0, nnzu, nnzuc, x_idx; + boolean verbose_output; + + double[] q0 = null, q1 = null, r0 = null, r1 = null, u, uc, x; + double[] rinfo = new double[100]; + double[] ruser = new double[1]; + double[] stats = new double[100]; + int[] icolq0 = null, icolq1 = null, idxr0 = null, idxr1 = null, irowq0 = null, irowq1 = null; + int[] iuser = new int[2]; + + System.out.println(" E04RSJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); // skip header + + // Read dimensions of the problem + line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + nnzq0 = Integer.parseInt(sVal[1]); + nnzq1 = Integer.parseInt(sVal[2]); + + // Allocate memory to read data + irowq0 = new int[nnzq0]; + icolq0 = new int[nnzq0]; + q0 = new double[nnzq0]; + irowq1 = new int[nnzq1]; + icolq1 = new int[nnzq1]; + q1 = new double[nnzq1]; + idxr0 = new int[n]; + r0 = new double[n]; + idxr1 = new int[n]; + r1 = new double[n]; + + // Read problem data + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq0; i++) { + irowq0[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq0; i++) { + icolq0[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq0; i++) { + q0[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq1; i++) { + irowq1[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq1; i++) { + icolq1[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < nnzq1; i++) { + q1[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < n; i++) { + idxr0[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < n; i++) { + r0[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < n; i++) { + idxr1[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (int i = 0; i < n; i++) { + r1[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + s = Double.parseDouble(sVal[0]); + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Compute size of multipliers + // One quadratic constraint in the model will have + // 2 multipliers for both bounds + nnzu = 2; + // No cone constraint in the model, so set nnzuc to 0 + nnzuc = 0; + + // Allocate memory for final results + x = new double[n]; + u = new double[nnzu]; + uc = new double[nnzuc]; + + // Create the problem handle + ifail = 0; + E04RA e04ra = new E04RA(); + e04ra.eval(handle, n, ifail); + handle = e04ra.getHANDLE(); + + // Set objective function + idqc = -1; + ifail = 0; + E04RS e04rs = new E04RS(); + e04rs.eval(handle, 0.0, n, idxr0, r0, nnzq0, irowq0, icolq0, q0, idqc, ifail); + + // Set quadratic constraint + idqc = 0; + ifail = 0; + e04rs.eval(handle, s, n, idxr1, r1, nnzq1, irowq1, icolq1, q1, idqc, ifail); + + // Turn on monitoring + ifail = 0; + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); + + // Set this to True to cause e04ptf to produce intermediate progress output + verbose_output = false; + + if (verbose_output) { + // Require printing of primal and dual solutions at the end of the solve + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + } else { + // Turn off printing of intermediate progress output + ifail = 0; + e04zm.eval(handle, "Print Level = 1", ifail); + } + + // Call SOCP interior point solver + cpuser = 0; + iuser[0] = nout; + iuser[1] = 0; + ruser[0] = 1.0e-07; + ifail = -1; + E04PT e04pt = new E04PT(); + MONIT monit = new MONIT(); + e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + ifail = e04pt.getIFAIL(); + + // Print solution if optimal or suboptimal solution found + if ((ifail == 0) || (ifail == 50)) { + System.out.println(" Optimal X:"); + System.out.println(" x_idx Value "); + for (x_idx = 0; x_idx < n; x_idx++) { + System.out.printf(" %5d %11.3e\n", x_idx, x[x_idx]); + } + } + + // Free the handle memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + } + + public static class MONIT extends E04PT.Abstract_E04PT_MONIT { + + public void eval() { + double tol; + int nout, tol_reached; + + nout = this.IUSER[0]; + tol_reached = this.IUSER[1]; + tol = this.RUSER[0]; + + // If x is close to the solution, print a message + if ((this.RINFO[14] < tol) && (this.RINFO[15] < tol) && (this.RINFO[16] < tol) && (this.RINFO[17] < tol)) { + if (tol_reached == 0) { + System.out.printf("\n monit() reports good approximate solution (tol =%9.2e)\n", tol); + this.IUSER[1] = 1; + } + } + } + } +} diff --git a/simple_examples/source/int32/E04RTJE.java b/simple_examples/source/int32/E04RTJE.java new file mode 100644 index 0000000..dd4bce8 --- /dev/null +++ b/simple_examples/source/int32/E04RTJE.java @@ -0,0 +1,225 @@ +import com.nag.routines.E04.E04RT; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RJ; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04PT; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04RH; + +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * E04RT example program text. + */ +public class E04RTJE { + + public static void main(String[] args) { + + final int nout = 6; + + long cpuser, handle = 0; + int i, idlc, idqc, ifail, j, m = 0, n = 0, nnza = 0, nnzu, nnzuc, x_idx; + boolean verbose_output; + + double[] a = null, b = null, r0 = null, u, uc, x, xl = null, xu = null; + double[] lc = new double[3]; + double[] lc_rhs = new double[1]; + double[] rinfo = new double[100]; + double[] ruser = new double[1]; + double[] stats = new double[100]; + int[] icola = null, idxr0 = null, irowa = null; + int[] icollc = new int[3]; + int[] irowlc = new int[3]; + int[] iuser = new int[2]; + + System.out.println(" E04RTJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); // skip header + + // Read dimensions of the problem + line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + m = Integer.parseInt(sVal[1]); + nnza = Integer.parseInt(sVal[2]); + + // Allocate memory to read data + a = new double[nnza]; + icola = new int[nnza]; + irowa = new int[nnza]; + idxr0 = new int[n]; + r0 = new double[n]; + b = new double[m]; + xl = new double[n]; + xu = new double[n]; + + // Read problem data + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < nnza; i++) { + irowa[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < nnza; i++) { + icola[i] = Integer.parseInt(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < nnza; i++) { + a[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < m; i++) { + b[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + xl[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + xu[i] = Double.parseDouble(sVal[i]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Compute -2*b'A as linear term in quadratic function + for (j = 0; j < n; j++) { + r0[j] = 0.0; + idxr0[j] = j + 1; + } + for (i = 0; i < nnza; i++) { + r0[icola[i] - 1] = r0[icola[i] - 1] + a[i] * b[irowa[i] - 1]; + } + + // Compute size of multipliers + // One linear constraint in the model will have + // 2 multipliers for both bounds + nnzu = 2 * n + 2; + // No cone constraint in the model, so set nnzuc to 0 + nnzuc = 0; + + // Allocate memory for final results + x = new double[n]; + u = new double[nnzu]; + uc = new double[nnzuc]; + + // Create the problem handle + ifail = 0; + E04RA e04ra = new E04RA(); + e04ra.eval(handle, n, ifail); + handle = e04ra.getHANDLE(); + + // Set quadratic objective function + idqc = -1; + ifail = 0; + E04RT e04rt = new E04RT(); + e04rt.eval(handle, 0.0, n, idxr0, r0, m, nnza, irowa, icola, a, idqc, ifail); + + // Set box constraints + ifail = 0; + E04RH e04rh = new E04RH(); + e04rh.eval(handle, n, xl, xu, ifail); + + // Set linear constraint: x1 + x2 + x3 = 1 + for (j = 0; j < n; j++) { + irowlc[j] = 1; + icollc[j] = j + 1; + lc[j] = 1.0; + } + lc_rhs[0] = 1.0; + ifail = 0; + idlc = 0; + E04RJ e04rj = new E04RJ(); + e04rj.eval(handle, 1, lc_rhs, lc_rhs, 3, irowlc, icollc, lc, idlc, ifail); + + // Turn on monitoring + ifail = 0; + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); + + // Set this to True to cause e04ptf to produce intermediate progress output + verbose_output = false; + + if (verbose_output) { + // Require printing of primal and dual solutions at the end of the solve + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + } else { + // Turn off printing of intermediate progress output + ifail = 0; + e04zm.eval(handle, "Print Level = 1", ifail); + } + + // Call SOCP interior point solver + cpuser = 0; + iuser[0] = nout; + iuser[1] = 0; + ruser[0] = 1.0e-07; + ifail = -1; + E04PT e04pt = new E04PT(); + MONIT monit = new MONIT(); + e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + ifail = e04pt.getIFAIL(); + + // Print solution if optimal or suboptimal solution found + if ((ifail == 0) || (ifail == 50)) { + System.out.println(" Optimal X:"); + System.out.println(" x_idx Value "); + for (x_idx = 0; x_idx < n; x_idx++) { + System.out.printf(" %5d %11.3e\n", x_idx, x[x_idx]); + } + } + + // Free the handle memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + } + + public static class MONIT extends E04PT.Abstract_E04PT_MONIT { + + public void eval() { + double tol; + int nout, tol_reached; + + nout = this.IUSER[0]; + tol_reached = this.IUSER[1]; + tol = this.RUSER[0]; + + // If x is close to the solution, print a message + if ((this.RINFO[14] < tol) && (this.RINFO[15] < tol) && (this.RINFO[16] < tol) && (this.RINFO[17] < tol)) { + if (tol_reached == 0) { + System.out.printf("\n monit() reports good approximate solution (tol =%9.2e)\n", tol); + this.IUSER[1] = 1; + } + } + } + } + } diff --git a/simple_examples/source/int32/E04SAJE.java b/simple_examples/source/int32/E04SAJE.java new file mode 100644 index 0000000..325267b --- /dev/null +++ b/simple_examples/source/int32/E04SAJE.java @@ -0,0 +1,104 @@ +import com.nag.routines.E04.E04RC; +import com.nag.routines.E04.E04SA; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04PT; +import com.nag.routines.E04.E04PTU; + +/** + * E04SA example program text. + */ +public class E04SAJE { + + public static final String fname = "e04saje.opt"; + public static void main(String[] args) { + + long cpuser, handle = 0; + int ifail, n, nnzu, nnzuc, x_idx; + boolean verbose_output; + String ftype; + + double[] rinfo = new double[100]; + double[] ruser = new double[1]; + double[] stats = new double[100]; + double[] u, uc, x; + int[] iuser = new int[1]; + int[] pinfo = new int[100]; + + System.out.println(" E04SAJ Example Program Results"); + + // Read mps file to a handle + ifail = 0; + ftype = "mps"; + E04SA e04sa = new E04SA(); + e04sa.eval(handle, fname, ftype, pinfo, ifail); + handle = e04sa.getHANDLE(); + + // Get problem size from pinfo + pinfo = e04sa.getPINFO(); + n = pinfo[0]; + nnzu = pinfo[10]; + nnzuc = pinfo[11]; + + // Set all variables as continuous + ifail = 0; + E04RC e04rc = new E04RC(); + + int[] x_idx_Arr = new int[n]; + for (x_idx = 1; x_idx <= n; x_idx++) { + x_idx_Arr[x_idx - 1] = x_idx; + } + + e04rc.eval(handle, "CONT", n, x_idx_Arr, ifail); + + // Allocate memory + x = new double[n]; + u = new double[nnzu]; + uc = new double[nnzuc]; + + // Set this to .True. to cause e04ptf to produce intermediate progress output + verbose_output = false; + + E04ZM e04zm = new E04ZM(); + if (verbose_output) { + // Require printing of primal and dual solutions at the end of the solve + ifail = 0; + e04zm.eval(handle, "Print Solution = YES", ifail); + } else { + // Turn off printing of intermediate progress output + ifail = 0; + e04zm.eval(handle, "Print Level = 1", ifail); + } + + // Call SOCP interior point solver + cpuser = 0; + ifail = -1; + E04PT e04pt = new E04PT(); + MONIT monit = new MONIT(); + e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + ifail = e04pt.getIFAIL(); + + // Print solution if optimal or suboptimal solution found + if ((ifail == 0) || (ifail == 50)) { + System.out.println(" Optimal X:"); + System.out.println(" x_idx " + " Value "); + for (x_idx = 0; x_idx < n; x_idx++) { + System.out.printf(" %5d %12.5e\n", x_idx, x[x_idx]); + } + } + + // Free the handle memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + } + + public static class MONIT extends E04PT.Abstract_E04PT_MONIT { + + public void eval() { + E04PTU e04ptu = new E04PTU(); + e04ptu.eval(this.HANDLE, this.RINFO, this.STATS, this.IUSER, this.RUSER, this.CPUSER, this.INFORM); + this.INFORM = e04ptu.getINFORM(); + } + } +} diff --git a/simple_examples/source/int32/E04TAJE.java b/simple_examples/source/int32/E04TAJE.java new file mode 100644 index 0000000..97cebe2 --- /dev/null +++ b/simple_examples/source/int32/E04TAJE.java @@ -0,0 +1,188 @@ +import com.nag.routines.E04.E04TA; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RE; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RJ; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04MT; +import com.nag.routines.E04.E04MTU; +import com.nag.routines.E04.E04TD; +import com.nag.routines.E04.E04TE; +import com.nag.routines.E04.E04TJ; +import com.nag.routines.E04.E04RW; +import com.nag.routines.E04.E04RZ; + +import java.util.Arrays; + +/** + * E04TA + */ +public class E04TAJE { + + public static void main(String[] args) { + + final double infbnd = 1.0e20; + + long cpuser, handle; + int idlc, ifail, ioflag, liarr, nclin, nnza, nnzu, nvar; + + double[] a, bla, bua, cvec, ulag, x, xl, xu; + + double[] rinfo = new double[100]; + double[] ruser = new double[1]; + double[] stats = new double[100]; + double[] u = new double[1]; + + int[] icola, irowa; + + int[] iuser = new int[1]; + int[] pinfo = new int[100]; + + System.out.println(" E04TAJ Example Program Results\n"); + System.out.println(" Solve the first LP\n"); + + handle = 0; + cpuser = 0; + + // Initialize the handle + nvar = 2; + ifail = 0; + E04RA e04ra = new E04RA(); + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + // Define the objective function + cvec = new double[nvar]; + cvec[0] = 2.0; + cvec[1] = 4.5; + ifail = 0; + E04RE e04re = new E04RE(); + e04re.eval(handle, nvar, cvec, ifail); + + // Box constraints + xl = new double[nvar]; + xu = new double[nvar]; + Arrays.fill(xl, 0.0); + xu[0] = infbnd; + xu[1] = 100.0; + ifail = 0; + E04RH e04rh = new E04RH(); + e04rh.eval(handle, nvar, xl, xu, ifail); + + // Set the linear constraints + idlc = 0; + nclin = 3; + nnza = 6; + bla = new double[nclin]; + bua = new double[nclin]; + irowa = new int[nnza]; + icola = new int[nnza]; + a = new double[nnza]; + Arrays.fill(bla, -infbnd); + bua = new double[] { + 1500.0, 6000.0, 16000.0 + }; + irowa = new int[] { + 1, 1, 2, 2, 3, 3 + }; + icola = new int[] { + 1, 2, 1, 2, 1, 2 + }; + a = new double[] { + 1.2, 3.0, 6.0, 10.0, 40.0, 80.0 + }; + ifail = 0; + E04RJ e04rj = new E04RJ(); + e04rj.eval(handle, nclin, bla, bua, nnza, irowa, icola, a , idlc, ifail); + + // Optional parameters + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "Task = Max", ifail); + e04zm.eval(handle, "Print Options = No", ifail); + e04zm.eval(handle, "Print Level = 1", ifail); + e04zm.eval(handle, "Print Solution = X", ifail); + + // Call the LP solver + x = new double[nvar + 1]; + nnzu = 0; + ifail = -1; + E04MT e04mt = new E04MT(); + MONIT monit = new MONIT(); + e04mt.eval(handle, nvar, x ,nnzu, u, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + + // Add a variable + ifail = 0; + E04TA e04ta = new E04TA(); + e04ta.eval(handle, 1, nvar, ifail); + nvar = e04ta.getNVAR(); + + // Box constraint on the new variable + ifail = 0; + E04TD e04td = new E04TD(); + e04td.eval(handle, "variable", nvar, 0.0, 50.0, ifail); + + // Add the linear objective component + ifail = 0; + E04TE e04te = new E04TE(); + e04te.eval(handle, 3, 7.0, ifail); + + // Add linear constraints coefficients + E04TJ e04tj = new E04TJ(); + ifail = 0; + e04tj.eval(handle, 1, 3, 5.0, ifail); + ifail = 0; + e04tj.eval(handle, 2, 3, 12.0, ifail); + ifail = 0; + e04tj.eval(handle, 3, 3, 120.0, ifail); + + System.out.println("\n The new variable has been added, solve the handle again\n"); + + // Solve the problem again + ifail = -1; + e04mt.eval(handle, nvar, x, nnzu, u, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + + // Add a linear constraint + nclin = 1; + bla[0] = -infbnd; + bua[0] = 100.0; + nnza = 2; + irowa[0] = 1; + irowa[1] = 1; + icola[0] = 2; + icola[1] = 3; + a[0] = 1.0; + a[1] = 1.0; + idlc = 0; + e04rj.eval(handle, nclin, bla, bua ,nnza, irowa, icola, a ,idlc, ifail); + + System.out.println("\n The new constraint has been added, solve the handle again\n"); + + // Query the problem sizes to request the Lagrangian multipliers for the + // last solve + ioflag = 1; + liarr = 100; + E04RW e04rw = new E04RW(); + e04rw.eval(handle, "pinfo", ioflag, liarr, pinfo, ifail); + nnzu = pinfo[10]; + ulag = new double[nnzu]; + + // Solve the problem again + ifail = -1; + e04mt.eval(handle, nvar, x ,nnzu, ulag, rinfo, stats, monit, iuser, ruser, cpuser, ifail); + + // Free the memory + ifail = 0; + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + } + + public static class MONIT extends E04MT.Abstract_E04MT_MONIT { + + public void eval() { + E04MTU e04mtu = new E04MTU(); + e04mtu.eval(this.HANDLE, this.RINFO, this.STATS, this.IUSER, this.RUSER, + this.CPUSER, this.INFORM); + this.INFORM = e04mtu.getINFORM(); + } + } +} diff --git a/simple_examples/source/int32/E04TCJE.java b/simple_examples/source/int32/E04TCJE.java new file mode 100644 index 0000000..d28d78b --- /dev/null +++ b/simple_examples/source/int32/E04TCJE.java @@ -0,0 +1,263 @@ +import com.nag.routines.E04.E04FFU; +import com.nag.routines.E04.E04GG; +import com.nag.routines.E04.E04GGU; +import com.nag.routines.E04.E04GGV; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RM; +import com.nag.routines.E04.E04TB; +import com.nag.routines.E04.E04TC; +import com.nag.routines.E04.E04TD; +import com.nag.routines.E04.E04ZM; +import java.io.BufferedReader; +import java.io.FileReader; +import java.text.NumberFormat; +import java.util.logging.Level; +import java.util.logging.Logger; +import java.util.Arrays; + +/** + * E04TC example program text. + * @author Mo + */ +public class E04TCJE { + + public static void main(String[] args) { + double[] rx, x, udt, udy; + double[] rinfo = new double[100], ruser = new double[0], + stats = new double[100]; + int ifail, isparse, nnzrd, nres, nvar, udnres; + int[] icolrd = new int[0], irowrd = new int[0], iuser = new int[0]; + int[] idx; + long cpuser, handle; // c_ptr + LSQFUN lsqfun = new LSQFUN(); + LSQGRD lsqgrd = new LSQGRD(); + LSQHES lsqhes = new LSQHES(); + LSQHPRD lsqhprd = new LSQHPRD(); + MONIT monit = new MONIT(); + + /* Header */ + System.out.printf(" E04TCJ Example Program Results\n\n"); + try { + + handle = 0L; + cpuser = 0L; + + BufferedReader br = new BufferedReader(new FileReader(args[0])); + String line = br.readLine(); // read the header + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + String[] data = line.split("\\s+"); + + /* Read number of residuals */ + nres = Integer.parseInt(data[0]); + + udnres = nres; + + /* Allocate memory */ + udt = new double[nres]; + udy = new double[nres]; + + /* Read observations */ + + for (int ii = 0; ii < nres; ii += 3) { + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int jj = 0; jj < 3; ++jj) { + udt[ii+jj] = Double.parseDouble(data[jj]); + } + } + + for (int ii = 0; ii < nres; ii += 3) { + line = br.readLine().trim(); + line.replaceAll("\\s+", " "); + data = line.split("\\s+"); + for (int jj = 0; jj < 3; ++jj) { + udy[ii+jj] = Double.parseDouble(data[jj]); + } + } + + /* try to fit the model */ + /* f(t) = at^2 + bt + c + d sin(omega t) */ + /* To the data {(t_i, y_i)} */ + nvar = 5; + + /* Initialize the NAG optimization handle */ + E04RA e04ra = new E04RA(); + ifail = 0; // hard fail + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + /* Define a dense nonlinear least-squares objective function */ + /* (isparse = 0 => the sparsity pattern of the Jacobian */ + /* doesn't need to be defined) */ + E04RM e04rm = new E04RM(); + isparse = 0; + nnzrd = 1; + e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); + + /* Set some optional parameters to control the output of the solver */ + E04ZM e04zm = new E04ZM(); + e04zm.eval(handle, "Print Options = No", ifail); + e04zm.eval(handle, "Print Solution = X", ifail); + e04zm.eval(handle, "Print Level = 1", ifail); + + System.out.println("First solve the problem with the outliers"); + System.out.println(); + System.out.println("--------------------------------------------------------"); + + /* Call the solver */ + E04GG e04gg = new E04GG(); + x = new double[nvar]; + for (int ii = 0; ii < nvar; ++ii) { + x[ii] = 1.0; + } + rx = new double[nres]; + iuser = new int[] {udnres}; + ruser = new double[2 * udnres];; + for (int ii = 0; ii < udnres; ii++) { + ruser[ii] = udt[ii]; + ruser[udnres + ii] = udy[ii]; + } + ifail = -1; + e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, + rx, rinfo, stats, iuser, ruser, cpuser, ifail); + + System.out.println("--------------------------------------------------------"); + System.out.println(); + System.out.println("Now remove the outlier residuals from the problem handle"); + System.out.println(); + System.out.println("--------------------------------------------------------"); + + /* Disable the two outlier residuals */ + E04TC e04tc = new E04TC(); + idx = new int[] {10, 20}; + e04tc.eval(handle, "NLS", 2, idx, ifail); + + /* Solve the problem again */ + for (int ii = 0; ii < nvar; ++ii) { + x[ii] = 1.0; + } + ifail = -1; + e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, + rx, rinfo, stats, iuser, ruser, cpuser, ifail); + + System.out.println("--------------------------------------------------------"); + System.out.println(); + System.out.println("Assuming the outliers points are measured again"); + System.out.println("we can enable the residuals and adjust the values"); + System.out.println(); + System.out.println("--------------------------------------------------------"); + + /* Fix the first variable to its known value of 0.3 */ + /* enable the residuals and adjust the values in the data */ + E04TD e04td = new E04TD(); + e04td.eval(handle, "variable", 1, 0.3, 0.3, ifail); + E04TB e04tb = new E04TB(); + e04tb.eval(handle, "NLS", 2, idx, ifail); + udy[9] = -0.515629; + udy[19] = 0.54920; + + /* Solve the problem */ + for (int ii = 0; ii < nvar; ++ii) { + x[ii] = 1.0; + } + ifail = -1; + e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, + rx, rinfo, stats, iuser, ruser, cpuser, ifail); + + } + catch (Exception ex) { + Logger.getLogger(E04TCJE.class.getName()).log(Level.SEVERE, null, ex); + } + + } + + public static class LSQFUN extends E04GG.Abstract_E04GG_LSQFUN { + + public void eval() { + int udnres; + double[] udt, udy; + + /* Unpack the user data from cpuser */ + udnres = this.IUSER[0]; + udt = Arrays.copyOfRange(this.RUSER, 0, udnres); + udy = Arrays.copyOfRange(this.RUSER, udnres, udnres + udnres); + + for (int i = 0; i < this.NRES; i++) { + this.RX[i] = 0.0; + } + + for (int i = 0; i < this.NRES; i++) { + this.RX[i] = (this.X[0] * Math.pow(udt[i],2) + this.X[1] * udt[i] + + this.X[2] + this.X[3] * Math.sin(this.X[4] * udt[i])) - + udy[i]; + } + + this.INFORM = 0; + + } + + } + + public static class LSQGRD extends E04GG.Abstract_E04GG_LSQGRD { + + public void eval() { + int udnres; + double[] udt, udy; + + /* Unpack the user data from cpuser */ + udnres = this.IUSER[0]; + udt = Arrays.copyOfRange(this.RUSER, 0, udnres); + udy = Arrays.copyOfRange(this.RUSER, udnres, udnres + udnres); + + for (int i = 1; i <= this.NRES; i++) { + this.RDX[((i-1)*this.NVAR + 1) - 1] = Math.pow(udt[i-1],2); + this.RDX[((i-1)*this.NVAR + 2) - 1] = udt[i-1]; + this.RDX[((i-1)*this.NVAR + 3) - 1] = 1.0; + this.RDX[((i-1)*this.NVAR + 4) - 1] = Math.sin(this.X[4] * udt[i-1]); + this.RDX[((i-1)*this.NVAR + 5) - 1] = this.X[3] * udt[i-1] * + Math.cos(this.X[4] * udt[i-1]); + + } + + this.INFORM = 0; + + } + + } + + public static class LSQHES extends E04GG.Abstract_E04GG_LSQHES { + + public void eval() { + E04GGU e04ggu = new E04GGU(); + e04ggu.eval(this.NVAR, this.X, this.NRES, this.LAMBDA, this.HX, + this.INFORM, this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ggu.getINFORM(); + } + + } + + public static class LSQHPRD extends E04GG.Abstract_E04GG_LSQHPRD { + + public void eval() { + E04GGV e04ggv = new E04GGV(); + e04ggv.eval(this.NVAR, this.X, this.Y, this.NRES, this.HXY, this.INFORM, + this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ggv.getINFORM(); + } + + } + + public static class MONIT extends E04GG.Abstract_E04GG_MONIT { + + public void eval() { + E04FFU e04ffu = new E04FFU(); + e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, + this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ffu.getINFORM(); + } + + } + +} diff --git a/simple_examples/source/int32/E04UCJE.java b/simple_examples/source/int32/E04UCJE.java new file mode 100644 index 0000000..e43d457 --- /dev/null +++ b/simple_examples/source/int32/E04UCJE.java @@ -0,0 +1,211 @@ +import com.nag.routines.E04.E04UC; +import com.nag.routines.E04.E04WB; +import com.nag.routines.E04.E04UE; +import com.nag.routines.F06.DGEMV; +import java.util.Arrays; + +/** + * E04UC example program text. + * @author joed + */ +public class E04UCJE { + + public static final double ONE = 1.0, ZERO = 0.0; + public static final int INC1 = 1, LCWSAV = 1, LIWSAV = 610, LLWSAV = 120, LRWSAV = 475; + public static CONFUN confun = new CONFUN(); + public static OBJFUN objfun = new OBJFUN(); + + public static void main(String[] args) { + + /* Local Scalars */ + double objf; + int i, ifail, inform, iter, j, lda, ldcj, ldr, liwork, lwork, n, nclin, ncnln, sda, sdcjac; + /* Local Arrays */ + double[] a, bl, bu, c, cjac, clamda, objgrd, r, work, x; + double[] ruser = new double[1], rwsav = new double[LRWSAV]; + int[] istate, iwork; + int[] iuser = new int[1], iwsav = new int[LIWSAV]; + boolean[] lwsav = new boolean[LLWSAV]; + String[] cwsav = new String[LCWSAV]; + Arrays.fill(cwsav, + " "); + + System.out.println(" E04UCJ Example Program Results"); + + /* Set scalars */ + n = 4; + nclin = 1; + ncnln = 2; + liwork = 3*n + nclin + 2*ncnln; + lda = Math.max(1, nclin); + sda = (nclin > 0) ? n : 1; + ldcj = Math.max(1, ncnln); + sdcjac = (ncnln > 0) ? n : 1; + ldr = n; + + if (ncnln == 0 && nclin > 0) { + lwork = 2*n*n + 20*n + 11*nclin; + } + else if (ncnln > 0 && nclin >= 0) { + lwork = 2*n*n + n*nclin + 2*n*ncnln + 20*n + 11*nclin + 21*ncnln; + } + else { + lwork = 20*n; + } + + /* Set arrays */ + istate = new int[n + nclin + ncnln]; + iwork = new int[liwork]; + c = new double[Math.max(1, ncnln)]; + cjac = new double[ldcj * sdcjac]; + clamda = new double[n + nclin + ncnln]; + objgrd = new double[n]; + r = new double[ldr * n]; + work = new double[lwork]; + + a = new double[]{1.0, 1.0, 1.0, 1.0}; + bl = new double[]{1.0, 1.0, 1.0, 1.0, -1.0E+25, -1.0E+25, 25.0}; + bu = new double[]{5.0, 5.0, 5.0, 5.0, 20.0, 40.0, 1.0E+25}; + x = new double[]{1.0, 5.0, 5.0, 1.0}; + + /* Initialise E04UC */ + E04WB e04wb = new E04WB(); + ifail = 0; + e04wb.eval("E04UCA", cwsav, LCWSAV, lwsav, LLWSAV, iwsav, LIWSAV, rwsav, LRWSAV, ifail); + E04UE e04ue = new E04UE(); + inform = 0; + e04ue.eval("Print Level = 10", lwsav, iwsav, rwsav, inform); + + /* Solve the problem */ + E04UC e04uc = new E04UC(); + iter = 0; + objf = 0.0; + ifail = -1; + e04uc.eval(n, nclin, ncnln, lda, ldcj, ldr, a, bl, bu, confun, objfun, iter, istate, c, + cjac, clamda, objf, objgrd, r, x, iwork, liwork, work, lwork, iuser, ruser, + lwsav, iwsav, rwsav, ifail); + iter = e04uc.getITER(); + objf = e04uc.getOBJF(); + ifail = e04uc.getIFAIL(); + + if ((0 >= ifail && ifail <= 6) || ifail == 8) { + System.out.println(); + System.out.println(" Varbl Istate Value Lagr Mult"); + System.out.println(); + + for (i = 0; i < n; i++) { + System.out.printf(" V %3d %3d %13.6G %13.4G\n", i+1, istate[i], x[i], clamda[i]); + } + + if (nclin > 0) { + + /* A*x --> work. + * The NAG name equivalent of DGEMV is F06PA */ + DGEMV dgemv = new DGEMV(); + dgemv.eval("N", nclin, n, ONE, a, lda, x, INC1, ZERO, work, INC1); + + System.out.println(); + System.out.println(); + System.out.println(" L Con Istate Value Lagr Mult"); + System.out.println(); + + for (i = n; i < n+nclin; i++) { + j = i - n; + System.out.printf(" L %3d %3d %13.6G %13.4G\n", j+1, istate[i], work[j], clamda[i]); + } + + } + + if (ncnln > 0) { + System.out.println(); + System.out.println(); + System.out.println(" N Con Istate Value Lagr Mult"); + System.out.println(); + + for (i = n+nclin; i < n+nclin+ncnln; i++) { + j = i - n - nclin; + System.out.printf(" N %3d %3d %13.6G %13.4G\n", j+1, istate[i], c[j], clamda[i]); + } + + } + + System.out.println(); + System.out.println(); + System.out.printf(" Final objective value = %11.7G\n", objf); + + } + + } + + /** Routine to evaluate objective function and its 1st derivatives. */ + public static class OBJFUN extends E04UC.Abstract_E04UC_OBJFUN { + + public void eval() { + + if (MODE == 0 || MODE == 2) { + OBJF = X[0] * X[3] * (X[0]+X[1]+X[2]) + X[2]; + } + + if (MODE == 1 || MODE == 2) { + OBJGRD[0] = X[3] * (X[0]+X[0]+X[1]+X[2]); + OBJGRD[1] = X[0] * X[3]; + OBJGRD[2] = X[0] * X[3] + ONE; + OBJGRD[3] = X[0] * (X[0]+X[1]+X[2]); + } + + } + + } + + /** Routine to evaluate the nonlinear constraints and their 1st derivatives. */ + public static class CONFUN extends E04UC.Abstract_E04UC_CONFUN { + + public void eval() { + + if (NSTATE == 1) { + + /* First call to CONFUN. Set all Jacobian elements to zero. + * Note that this will only work when 'Derivative Level = 3' + * (the default; see Section 11.2). */ + + for (int i = 0; i < CJAC.length; ++i) { + CJAC[i] = 0; + } + + } + + if (NEEDC[0] > 0) { + + if (MODE == 0 || MODE == 2) { + C[0] = X[0]*X[0] + X[1]*X[1] + X[2]*X[2] + X[3]*X[3]; + } + + if (MODE == 1 || MODE == 2) { + CJAC[0] = X[0] + X[0]; + CJAC[LDCJ] = X[1] + X[1]; + CJAC[2*LDCJ] = X[2] + X[2]; + CJAC[3*LDCJ] = X[3] + X[3]; + } + + } + + if (NEEDC[1] > 0) { + + if (MODE == 0 || MODE == 2) { + C[1] = X[0]*X[1]*X[2]*X[3]; + } + + if (MODE == 1 || MODE == 2) { + CJAC[1] = X[1]*X[2]*X[3]; + CJAC[1+LDCJ] = X[0]*X[2]*X[3]; + CJAC[1+2*LDCJ] = X[0]*X[1]*X[3]; + CJAC[1+3*LDCJ] = X[0]*X[1]*X[2]; + } + + } + + } + + } + +} diff --git a/simple_examples/source/int32/E04YAJE.java b/simple_examples/source/int32/E04YAJE.java new file mode 100644 index 0000000..72d80da --- /dev/null +++ b/simple_examples/source/int32/E04YAJE.java @@ -0,0 +1,112 @@ +import com.nag.routines.E04.E04YA; + + +/** + * E04YA example program text. + * @author joed + */ +public class E04YAJE { + + public static LSQFUN lsqfun = new LSQFUN(); + public static final int LIW = 1, MDEC = 15, NDEC = 3; + public static final int LDFJAC = MDEC; + public static final int LW = 3*NDEC + MDEC + MDEC*NDEC; + public static double[] t = new double[MDEC*NDEC], y = new double[MDEC]; + + /** Routine to evaluate the residuals and their 1st derivatives. */ + public static class LSQFUN extends E04YA.Abstract_E04YA_LSQFUN { + + public void eval() { + double denom, dummy; + int i; + + for (i = 0; i < M; i++) { + denom = (XC[1] * t[MDEC + i]) + (XC[2] * t[2*MDEC + i]); + + if (IFLAG != 1) { + FVEC[i] = XC[0] + (t[i]/denom) - y[i]; + } + + if (IFLAG != 0) { + FJAC[i] = 1.0; + dummy = -1.0/(denom*denom); + FJAC[MDEC + i] = t[i] * t[MDEC + i] * dummy; + FJAC[2*MDEC + i] = t[i] * t[2*MDEC + i] * dummy; + } + + } + } + + } + + public static void main(String[] args) { + int i, ifail, m, n; + double[] fjac = new double[LDFJAC*NDEC], fvec = new double[MDEC], + w = new double[LW], x = new double[NDEC]; + int[] iw = new int[LIW]; + + System.out.println(" E04YAJ Example Program Results"); + + n = NDEC; + m = MDEC; + + /* Observations of TJ (J = 1, 2, ..., n) are held in T(I, J) + * (I = 1, 2, ..., m) */ + + y = new double[]{0.14, 0.18, 0.22, 0.25, 0.29, 0.32, 0.35, 0.39, 0.37, + 0.58, 0.73, 0.96, 1.34, 2.10, 4.39}; + for (i = 0; i < m; i++) { + t[i] = i + 1.0; + t[m + i] = 15.0 - i; + t[2*m + i] = -Math.abs(i - 7.0) + 8.0; + } + + /* Set up an arbitrary point at which to check the 1st derivatives */ + + x[0] = 0.19; + x[1] = -1.34; + x[2] = 0.88; + + System.out.println(); + System.out.println("The test point is"); + System.out.printf(" "); + for (i = 0; i < n; i++) { + System.out.printf("%10.5f", x[i]); + } + System.out.printf("\n"); + + E04YA e04ya = new E04YA(); + ifail = -1; + e04ya.eval(m, n, lsqfun, x, fvec, fjac, LDFJAC, iw, LIW, w, LW, ifail); + ifail = e04ya.getIFAIL(); + + if (ifail >= 0 && ifail != 1) { + + switch (ifail) { + case 0: + System.out.println(); + System.out.println("1st derivatives are consistent with residual values"); + break; + case 2: + System.out.println(); + System.out.println("Probable error in calculation of 1st derivatives"); + break; + default: + } + + System.out.println(); + System.out.println("At the test point, LSQFUN gives"); + System.out.println(); + System.out.println(" Residuals 1st derivatives"); + for (i = 0; i < m; i++) { + System.out.printf(" %15.3E", fvec[i]); + System.out.printf("%15.3E", fjac[i]); + System.out.printf("%15.3E", fjac[LDFJAC + i]); + System.out.printf("%15.3E\n", fjac[2*LDFJAC + i]); + } + + } + + } + +} diff --git a/simple_examples/source/int32/F01ADJE.java b/simple_examples/source/int32/F01ADJE.java new file mode 100644 index 0000000..4167f71 --- /dev/null +++ b/simple_examples/source/int32/F01ADJE.java @@ -0,0 +1,39 @@ +import com.nag.routines.F01.F01AD; +import com.nag.routines.X04.X04CA; + + +/** + * F01AD example program text. + * @author joed + */ +public class F01ADJE { + + public static void main(String[] args) { + + int i, ifail, lda, n; + double[] a; + + System.out.println(" F01ADJ Example Program Results"); + System.out.println(); + + n = 4; + lda = n + 1; + a = new double[] { + 5.0, 7.0, 6.0, 5.0, 0.0, + 7.0, 10.0, 8.0, 7.0, 0.0, + 6.0, 8.0, 10.0, 9.0, 0.0, + 5.0, 7.0, 9.0, 10.0, 0.0 + }; + + F01AD f01ad = new F01AD(); + ifail = -1; + f01ad.eval(n, a, lda, ifail); + ifail = f01ad.getIFAIL(); + + /* Print the result matrix A */ + X04CA x04ca = new X04CA(); + x04ca.eval("L", "B", lda, n, a, lda, "Lower triangle of inverse", ifail); + + } + +} diff --git a/simple_examples/source/int32/F01CKJE.java b/simple_examples/source/int32/F01CKJE.java new file mode 100644 index 0000000..ed3ffa2 --- /dev/null +++ b/simple_examples/source/int32/F01CKJE.java @@ -0,0 +1,60 @@ +import com.nag.routines.F01.F01CK; +import com.nag.routines.X04.X04CB; +import java.util.logging.Level; +import java.util.logging.Logger; + + +/** + * F01CK example program text. + * @author ludovic + */ +public class F01CKJE { + + public static void main(String[] args) { + + double[] a, b, c, z; + int n, p, m, iz, opt; + int ifail; + + m = 3; + n = p = 2; + iz = 1; + opt = 1; + a = new double[n * p]; + b = new double[n * m]; + c = new double[m * p]; + z = new double[iz]; + ifail = 0; + + System.out.println(" F01CKJ Example Program Results"); + + // Initialising b and c + + for (int i = 0; i < m; ++i) { + for (int j = 0; j < n; ++j) { + b[j+i*n] = (double) (i+j); + } + for (int j = 0; j < p; ++j) { + c[i+j*m] = (double) (i+j); + } + } + + F01CK f01ck = new F01CK(a, b, c, n, p, m, z, iz, opt, ifail); + f01ck.eval(); + ifail = f01ck.getIFAIL(); + String title = "Matrix A"; + System.out.println(); + System.out.flush(); + ifail = 0; + + String matrix = "G", diag = "N", nolabel = "N", form = "F7.1"; + String[] dummy = {" "}; + int ncols = 80; + int indent = 0; + + (new X04CB()).eval(matrix,diag,n,p,a,n,form,title,nolabel,dummy,nolabel, + dummy,ncols,indent, ifail); + + } + +} diff --git a/simple_examples/source/int32/F01CRJE.java b/simple_examples/source/int32/F01CRJE.java new file mode 100644 index 0000000..c10b284 --- /dev/null +++ b/simple_examples/source/int32/F01CRJE.java @@ -0,0 +1,47 @@ +import com.nag.routines.F01.F01CR; +import java.util.logging.Level; +import java.util.logging.Logger; + + +/** + * F01CR example program text. + * @author ludovic + */ +public class F01CRJE { + + public static void main(String[] args) { + System.out.println(" F01CRJ Example Program Results"); + double[] a; + int m,n,mn,lmove; + int[] move; + int ifail; + n = 7; + m = 3; + mn = m*n; + lmove = (m + n)/2; + a = new double[mn]; + move = new int[lmove]; + ifail = 1; + + for (int i = 0; i < mn; i++) { + a[i] = i+1.0; + } + + F01CR f01cr = new F01CR(a, m, n, mn, move, lmove, ifail); + f01cr.eval(); + + System.out.println(); + int index = 0; + for (int i = 0; i < mn; ++i) { + System.out.printf(" %7.1f",a[i]); + ++index; + if (index == 7) { + System.out.println(); + index = 0; + } + } + System.out.println(); + + } + +} diff --git a/simple_examples/source/int32/F01DGJE.java b/simple_examples/source/int32/F01DGJE.java new file mode 100644 index 0000000..107137f --- /dev/null +++ b/simple_examples/source/int32/F01DGJE.java @@ -0,0 +1,72 @@ +import com.nag.routines.F01.F01DG; +import com.nag.routines.X04.X04CA; + +/** + * F01DG example program text. + * @author joed + * @since 27.0.0.0 + */ +public class F01DGJE { + + /** + * F01DG example main program. + */ + public static void main(String[] args) { + + F01DG f01dg = new F01DG(); + X04CA x04ca = new X04CA(); + double alpha; + int i, ifail, lda, ldb, n; + String side, transa, uplo; // Length 1 + double[] a, b; + + System.out.println("F01DGJ Example Program Results\n"); + + // Values for side, uplo and transa + side = "L"; + uplo = "U"; + transa = "T"; + + // Order of square matrices + n = 4; + lda = n; + ldb = n; + + // Scaling constant alpha + alpha = 0.4; + + // Set input matrices (column-major order) + a = new double[]{ + 1.5, 0.0, 0.0, 0.0, + 2.3, 3.4, 0.0, 0.0, + 6.7, 5.4, 8.1, 0.0, + 1.9, 8.6, 2.0, 5.9 + }; + b = new double[]{ + 3.5, 0.0, 0.0, 0.0, + 2.1, 5.6, 0.0, 0.0, + 4.0, 2.1, 1.7, 0.0, + 2.1, 2.5, 1.1, 7.4 + }; + + /* ifail: behaviour on error exit + * = 0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft */ + ifail = 0; + + // Find B=alpha*A*B + f01dg.eval(side, uplo, transa, n, alpha, a, lda, b, ldb, ifail); + ifail = f01dg.getIFAIL(); + + // Print the solution + if (ifail == 0) { + if (transa.equals("N")) { + x04ca.eval(uplo, "N", n, n, b, n, "Solution matrix B", ifail); + } + else { + x04ca.eval("G", "N", n, n, b, n, "Solution matrix B", ifail); + } + } + + } + +} diff --git a/simple_examples/source/int32/F01ELJE.java b/simple_examples/source/int32/F01ELJE.java new file mode 100644 index 0000000..9986c6c --- /dev/null +++ b/simple_examples/source/int32/F01ELJE.java @@ -0,0 +1,89 @@ +import com.nag.routines.F01.F01EL; +import com.nag.routines.Routine; +import com.nag.routines.X04.X04CA; +import com.nag.types.NAGComplex; +import com.nag.types.NAGComplexInterface; +import java.util.Arrays; + +/** + * F01EL example program text. + * @author joed + */ +public class F01ELJE { + + public static void main(String[] args) { + + F01EL f01el = new F01EL(); + X04CA x04ca = new X04CA(); + + FCos2 fcos2 = new FCos2(); + double imnorm; + int i, ifail, iflag, lda, n; + double[] a, ruser = new double[1]; + int[] iuser = new int[1]; + + Routine.setComplex(new NAGComplex()); + + System.out.println(" F01ELJ Example Program Results"); + System.out.println(); + + // Problem data + n = 4; + a = new double[] { + 3.0, -1.0, 0.0, 2.0, 0.0, 1.0, 2.0, 1.0, 1.0, 3.0, 2.0, -1.0, 2.0, 1.0, 1.0, 1.0 + }; + + // Find f(A) + lda = n; + iflag = 0; + imnorm = 0; + ifail = 0; + f01el.eval(n, a, lda, fcos2, iuser, ruser, iflag, imnorm, ifail); + + // Print solution + ifail = 0; + x04ca.eval("G", "N", n, n, a, lda, "F(A) = COS(2A)", ifail); + + // Print the norm of the imaginary part to check it is small + System.out.println(); + System.out.println(" Imnorm = " + imnorm); + + } + + public static class FCos2 extends F01EL.Abstract_F01EL_F { + + /* These methods should really be part of an extension of NAGComplex. */ + + private NAGComplex complexCos(NAGComplexInterface z) { + NAGComplex cosz = new NAGComplex(); + cosz.setRe(Math.cos(z.getRe()) * Math.cosh(z.getIm())); + cosz.setIm(-Math.sin(z.getRe()) * Math.sinh(z.getIm())); + return cosz; + } + + private NAGComplex complexMult(NAGComplexInterface a, NAGComplexInterface b) { + NAGComplex ab = new NAGComplex(); + ab.setRe((a.getRe()*b.getRe()) - (a.getIm()*b.getIm())); + ab.setIm((a.getRe()*b.getIm()) + (a.getIm()*b.getRe())); + return ab; + } + + /* Calculate F(A) = COS(2A) */ + + public void eval() { + + NAGComplex two = new NAGComplex(); + two.setRe(2.0); + two.setIm(0.0); + + for (int i = 0; i < this.NZ; i++) { + this.FZ[i] = (NAGComplex) complexCos(complexMult(two, this.Z[i])); + } + + this.IFLAG = 0; + + } + + } + +} diff --git a/simple_examples/source/int32/F01EMJE.java b/simple_examples/source/int32/F01EMJE.java new file mode 100644 index 0000000..716a7b5 --- /dev/null +++ b/simple_examples/source/int32/F01EMJE.java @@ -0,0 +1,106 @@ +import com.nag.routines.F01.F01EM; +import com.nag.routines.X04.X04CA; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +/** + * F01EMJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class F01EMJE{ + + /** + * F01EMJ Example main program + */ + public static void main(String[] args){ + double imnorm = 0; + int ifail, iflag = 0, lda, n; //placeholders + double[] a, ruser; + int[] iuser; + + ruser = new double[1]; + iuser = new int[1]; + + System.out.println("F01EMJ Example Program Results"); + System.out.println(); + + //Tell wrapper what type of complex type is going to be used + Routine.setComplex(new NAGComplex()); + + //Problem size + n = 4; + lda = n; + + //Allocate + a = new double[lda * n]; + + //Data + //A = ( 1, 0,-2, 1) + // (-1, 2, 0, 1) + // ( 2, 0, 1, 0) + // ( 1, 0,-2, 2) + a[0] = 1; + a[1] = -1; + a[2] = 2; + a[3] = 1; + a[4] = 0; + a[5] = 2; + a[6] = 0; + a[7] = 0; + a[8] = -2; + a[9] = 0; + a[10] = 1; + a[11] = -1; + a[12] = 1; + a[13] = 1; + a[14] = 0; + a[15] = 2; + + //Find f(A) + ifail = 0; + //Create fexp2 object to pass to wrapper + fexp2 f = new fexp2(); + F01EM f01em = new F01EM(n, a, lda, f, iuser, ruser, iflag, imnorm, ifail); + f01em.eval(); + + //Print solution + ifail = 0; + X04CA x04ca = new X04CA("G", "N", n, n, a, lda, "F(A) = EXP(2A)", ifail); + x04ca.eval(); + + //Print the norm oof the imaginary part to check if it small + System.out.println(); + System.out.printf("Imnorm = %.2f\n", imnorm); + } + + /** + * fexp2 class representing f routine argument + */ + public static class fexp2 extends F01EM.Abstract_F01EM_F{ + public void eval(){ + NAGComplex two = new NAGComplex(2, 0); + NAGComplex twoPowM = new NAGComplex(2, 0); + + twoPowM.setRe(Math.pow(2, this.M)); + + for(int i = 0; i < this.NZ; i++){ + this.FZ[i] = NAGComplex.multiply(twoPowM, this.complexExp(NAGComplex.multiply(two, (NAGComplex) this.Z[i]))); + } + + //Set iflag nonzero to terminate exectuion for any reason + this.IFLAG = 0; + } + + //Raises e ^ z where z is a complex number + //Uses eulers formula; + //c ^ (a + bi) = c^a * ((cos(bln(c))) + isin(bln(c))) + public NAGComplex complexExp(NAGComplex x){ + NAGComplex tmp = new NAGComplex(); + tmp.setRe(Math.cos(x.getIm())); + tmp.setIm(Math.sin(x.getIm())); + NAGComplex ans = NAGComplex.multiply(new NAGComplex(Math.exp(x.getRe()), 0), tmp); + return ans; + } + } +} diff --git a/simple_examples/source/int32/F02EKJE.java b/simple_examples/source/int32/F02EKJE.java new file mode 100644 index 0000000..3737022 --- /dev/null +++ b/simple_examples/source/int32/F02EKJE.java @@ -0,0 +1,227 @@ +import com.nag.routines.F02.F02EK; +import com.nag.routines.F12.F12AD; +import com.nag.routines.Routine; +import com.nag.routines.X02.X02AJ; +import com.nag.types.NAGComplex; +import com.nag.types.NAGComplexInterface; +import java.util.Arrays; + +/** + * F02EK example program text. + * @author joed + */ +public class F02EKJE { + + public static MYMONIT mymonit = new MYMONIT(); + public static MYOPTION myoption = new MYOPTION(); + + public static void main(String[] args) { + F02EK f02ek = new F02EK(); + X02AJ x02aj = new X02AJ(); + double h, rho, s, sigma; + int ifail, imon, k, ldv, maxit, mode, n, nconv, ncv, nev, nnz, nx, + prtlvl; + NAGComplex complex = new NAGComplex(); + double[] a, resid, v, ruser = new double[1]; + int[] icolzp, irowix, iuser = new int[4]; + NAGComplex[] w; + + Routine.setComplex(complex); + + System.out.println(" F02EKJ Example Program Results"); + System.out.println(); + + nx = 10; + nev = 4; + ncv = 20; + rho = 10.0; + sigma = 5.5; + + n = nx * nx; + nnz = 3*n - 2; + ldv = n; + + resid = new double[ncv]; + a = new double[nnz]; + icolzp = new int[n + 1]; + irowix = new int[nnz]; + w = (NAGComplex[]) complex.getArrayOfInstances(ncv); + v = new double[ldv * ncv]; + + // Construct A in compressed column storage (CCS) format where: + // A{ i , i } = 2 + i + // A{i+1, i } = 3 + // A{ i , i+1} = rho/(2n+2) - 1 + + h = 1.0 / (double)(n+1); + s = (rho * h / 2.0) - 1.0; + + a[0] = 2.0 + 1.0; + a[1] = 3.0; + icolzp[0] = 1; + irowix[0] = 1; + irowix[1] = 2; + k = 3; + + for (int i = 1; i < n - 1; i++) { + icolzp[i] = k; + irowix[k - 1] = i; + irowix[k] = i + 1; + irowix[k + 1] = i + 2; + a[k - 1] = s; + a[k] = 2.0 + (double)(i + 1); + a[k + 1] = 3.0; + k += 3; + } + + icolzp[n - 1] = k; + icolzp[n] = k + 2; + irowix[k - 1] = n - 1; + irowix[k] = n; + a[k - 1] = s; + a[k] = 2.0 + (double)(n); + + // Set some options via iuser array and return routine argument OPTION + // iuser[0] = print level + // iuser[1] = iteration limit + // iuser[2] > 0 means shifted-invert mode + // iuser[3] > 0 means print monitoring info + + prtlvl = 0; + maxit = 500; + mode = 1; + imon = 1; + + if (prtlvl > 0) { + imon = 0; + } + + iuser[0] = prtlvl; + iuser[1] = maxit; + iuser[2] = mode; + iuser[3] = imon; + + nconv = 0; // placeholder value, nconv is output only + ifail = 0; // hard exit on error + + f02ek.eval( + n, nnz, a, icolzp, irowix, nev, ncv, sigma, mymonit, myoption, + nconv, w, v, ldv, resid, iuser, ruser, ifail + ); + ifail = f02ek.getIFAIL(); + nconv = f02ek.getNCONV(); + + System.out.println(); + System.out.printf( + " The %4d Ritz values of closest to %13.5E are:\n", nconv, sigma + ); + + // Get machine precision + double mp = x02aj.eval(); + + for (int i = 0; i < nconv; i++) { + if (resid[i] > (double)(100*n*mp)) { + System.out.printf( + " %8d ( %13.5E , %13.5E ) %13.5E\n", + i + 1, w[i], resid[i] + ); + } + else { + System.out.printf( + " %8d ( %13.5E , %13.5E )\n", + i + 1, w[i].getRe(), w[i].getIm() + ); + } + } + + } + + public static class MYOPTION extends F02EK.Abstract_F02EK_OPTION { + + public void eval() { + F12AD f12ad = new F12AD(); + int ifail1; + String rec = " "; + + this.ISTAT = 0; + + if (this.IUSER[0] > 0) { + System.out.printf("Print Level=%5d\n", this.IUSER[0]); + ifail1 = 1; + f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[1] > 100) { + System.out.printf("Iteration Limit=%5d\n", this.IUSER[1]); + ifail1 = 1; + f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[2] > 0) { + ifail1 = 1; + f12ad.eval( + "Shifted Inverse Real ", this.ICOMM, this.COMM, ifail1 + ); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + } + + } + + public static class MYMONIT extends F02EK.Abstract_F02EK_MONIT { + + public NAGComplexInterface[] getW() { + return this.W; + } + + public void eval() { + + if (this.IUSER[3] > 0) { + + if (this.NITER == 1 && this.IUSER[2] > 0) { + System.out.printf( + " Arnoldi basis vectors used:%4d\n", this.NCV + ); + System.out.printf( + " The following Ritz values (mu) are related to the\n" + + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" + ); + } + + System.out.println(); + System.out.printf(" Iteration number %4d\n", this.NITER); + System.out.printf( + " Ritz values converged so far (%4d) and their Ritz" + + " estimates:\n", this.NCONV + ); + + for (int i = 0; i < this.NCONV; i++) { + System.out.printf( + " %4d (%13.5E,%13.5E) %13.5E\n", + i + 1, this.W[i].getRe(), this.W[i].getIm(), + this.RZEST[i] + ); + } + + System.out.printf(" Next (unconverged) Ritz value:\n"); + + System.out.printf( + " %4d (%13.5E,%13.5E)\n", + this.NCONV + 1, this.W[NCONV].getRe(), this.W[NCONV].getIm() + ); + + } + + this.ISTAT = 0; + + } + + } + +} diff --git a/simple_examples/source/int32/F02FKJE.java b/simple_examples/source/int32/F02FKJE.java new file mode 100644 index 0000000..0dd7ab9 --- /dev/null +++ b/simple_examples/source/int32/F02FKJE.java @@ -0,0 +1,230 @@ +import com.nag.routines.F02.F02FK; +import com.nag.routines.F12.F12FD; +import com.nag.routines.X04.X04AB; +import com.nag.routines.X04.X04CA; +import java.util.Arrays; + +/** + * F02FK example program text. + * @author joed + */ +public class F02FKJE { + + public static MYMONIT mymonit = new MYMONIT(); + public static MYOPTION myoption = new MYOPTION(); + + public static void main(String[] args) { + F02FK f02fk = new F02FK(); + X04AB x04ab = new X04AB(); + X04CA x04ca = new X04CA(); + double h2, sigma; + int iset = 1, ifail, imon, k, ldv, lo, maxit, mode, n, nconv, ncv, nev, + nnz, nx, outchn, prtlvl; + double[] a, dPrint, resid, v, w, ruser = new double[1]; + int[] icol, irow, iuser = new int[4]; + + + System.out.println(" F02FKJ Example Program Results"); + System.out.println(); + + nx = 20; + nev = 8; + ncv = 20; + sigma = 1.0; + + // Construct the matrix A in sparse form and store in A. + // The main diagonal of A is full and there are two subdiagonals of A: + // the first and the nx-th. + + n = nx * nx; + nnz = (3 * n) - (2 * nx); + a = new double[nnz]; + irow = new int[nnz]; + icol = new int[nnz]; + + // Zero out A. + Arrays.fill(a, 0.0); + + // Main diagonal of A. + h2 = 1.0 / (double)((nx + 1) * (nx + 1)); + for (int i = 1; i <= n; i++) { + irow[i - 1] = i; + icol[i - 1] = i; + a[i - 1] = 4.0 / h2; + } + + // First subdiagonal of A. + k = n; + for (int i = 1; i <= nx; i++) { + lo = (i - 1) * nx; + for (int j = lo + 1; j <= lo + nx - 1; j++) { + k += 1; + irow[k - 1] = j + 1; + icol[k - 1] = j; + a[k - 1] = -1.0 / h2; + } + } + + // nx-th subdiagonal. + for (int i = 1; i <= nx - 1; i++) { + lo = (i - 1) * nx; + for (int j = lo + 1; j <= lo + nx; j++) { + k += 1; + irow[k - 1] = j + nx; + icol[k - 1] = j; + a[k - 1] = -1.0 / h2; + } + } + + // Set some options via iuser array and routine argument OPTION. + // iuser[0] = print level, + // iuser[1] = iteration limit, + // iuser[2]>0 means shifted-invert mode + // iuser[3]>0 means print monitoring info + + prtlvl = 0; + maxit = 500; + mode = 1; + imon = 0; + + ruser[0] = 1.0; + iuser[0] = prtlvl; + iuser[1] = maxit; + iuser[2] = mode; + iuser[3] = imon; + + // Find eigenvalues of largest magnitude and the corresponding + // eigenvectors. + + ldv = n; + w = new double[ncv]; + v = new double[ldv * ncv]; + resid = new double[n]; + + nconv = 0; // placeholder + + ifail = -1; + f02fk.eval( + n, nnz, a, irow, icol, nev, ncv, sigma, mymonit, myoption, nconv, + w, v, ldv, resid, iuser, ruser, ifail + ); + ifail = f02fk.getIFAIL(); + nconv = f02fk.getNCONV(); + if (ifail != 0) { + System.err.println(" ** F02FK returned with IFAIL = " + ifail); + } + + + + // Print Eigenvalues and the residual norm ||A*x - lambda*x||. + dPrint = new double[nconv * 2]; + for (int i = 1; i <= nconv; i++) { + dPrint[getIdx(i, 1, nconv)] = w[i - 1]; + dPrint[getIdx(i, 2, nconv)] = resid[i - 1]; + } + + System.out.println(); + + ifail = 0; + x04ca.eval( + "G", "N", nconv, 2, dPrint, nconv, " Ritz values and residuals", + ifail + ); + + } + + public static class MYOPTION extends F02FK.Abstract_F02FK_OPTION { + + public void eval() { + F12FD f12fd = new F12FD(); + int ifail1; + String rec = " "; // Required len = 25 + + this.ISTAT = 0; + + if (this.IUSER[0] > 0) { + System.out.printf(" Print Level=%5d\n", this.IUSER[0]); + ifail1 = 1; + f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12fd.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[1] > 100) { + System.out.printf(" Iteration Limit=%5d\n", this.IUSER[1]); + ifail1 = 1; + f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12fd.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[2] > 0) { + ifail1 = 1; + f12fd.eval( + "Shifted Inverse ", this.ICOMM, this.COMM, ifail1 + ); + ifail1 = f12fd.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + } + + } + + public static class MYMONIT extends F02FK.Abstract_F02FK_MONIT { + + public void eval() { + + if (this.IUSER[3] > 0) { + + if (this.NITER == 1 && this.IUSER[2] > 0) { + System.out.printf( + " Arnoldi basis vectors used:%4d\n", this.NCV + ); + System.out.printf( + " The following Ritz values (mu) are related to the\n" + + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" + ); + } + + System.out.println(); + System.out.printf(" Iteration number %4d\n", this.NITER); + System.out.printf( + " Ritz values converged so far(%4d) and their Ritz" + + " estimates:\n", this.NCONV + ); + + for (int i = 0; i < this.NCONV; i++) { + System.out.printf( + " %4d %13.5E %13.5E\n", i+1, this.W[i], this.RZEST[i] + ); + } + + System.out.printf(" Next (uncoverged) Ritz value:\n"); + System.out.printf( + " %4d %13.5E\n", this.NCONV + 1, this.W[this.NCONV + 1] + ); + + } + + this.ISTAT = 0; + + } + + } + + /** + * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based + * Java index. + * + *

    Fortran array definition: + * a(dimX, *) + * + *

    Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return ((y-1) * dimX) + (x-1); + } + +} diff --git a/simple_examples/source/int32/F02WGJE.java b/simple_examples/source/int32/F02WGJE.java new file mode 100644 index 0000000..36c26c6 --- /dev/null +++ b/simple_examples/source/int32/F02WGJE.java @@ -0,0 +1,132 @@ +import com.nag.routines.F02.F02WG; +import java.util.Arrays; + +/** + * F02WG example program text. + * @author joed + */ +public class F02WGJE { + + public static AV av = new AV(); + + public static void main(String[] args) { + int ifail, k, ldu, ldv, m, n, nconv, ncv; + double[] resid, sigma, u, v; + double[] ruser = new double[1]; + int[] iuser = new int[1]; + + /* Set up wrappers */ + F02WG f02wg = new F02WG(); + + System.out.println(" F02WGJ Example Program Results\n"); + + /* Set F02WG args */ + m = 100; + n = 500; + k = 4; + ncv = 10; + nconv = 0; + ldu = m; + ldv = n; + resid = new double[ncv]; + sigma = new double[ncv]; + u = new double[ldu * ncv]; + v = new double[ldv * ncv]; + ifail = 0; + + /* Call routine */ + f02wg.eval( + m, // Rows in A + n, // Cols in A + k, // Num. of singular values to be computed + ncv, // Dimension of sigma and resid + av, // Subroutine that returns Ax or (A^T)x + nconv, // [Output] + sigma, // [Output] + u, // [Output] + ldu, // 1st dimension of u + v, // [Output] + ldv, // 1st dimension of v + resid, // [Output] + iuser, + ruser, + ifail + ); + + /* Get non-array output args */ + ifail = f02wg.getIFAIL(); + nconv = f02wg.getNCONV(); + + /* Print results */ + System.out.println(" Singular Value Residual"); + for (int i = 0; i < nconv; i++) { + System.out.printf( + " %10.5f %10.2G\n", sigma[i], resid[i] + ); + } + + } + + public static class AV extends F02WG.Abstract_F02WG_AV { + + public void eval() { + + double H = 1.0 / ((double)(this.M + 1)); + double K = 1.0 / ((double)(this.N + 1)); + + if (this.IFLAG == 1) { + + for (int i = 0; i < this.M; i++) { + this.AX[i] = 0.0; + } + + double S = 0.0; + double T = 0.0; + + for (int j = 0; j < this.N; j++) { + T += K; + S = 0.0; + + for (int i = 0; i < Math.min(j+1, this.M); i++) { + S += H; + this.AX[i] += K * S * (T - 1.0) * this.X[j]; + } + for (int i = j + 1; i < this.M; i++) { + S += H; + this.AX[i] += K * T * (S - 1.0) * this.X[j]; + } + + } + + } + else { + + for (int i = 0; i < this.N; i++) { + this.AX[i] = 0.0; + } + + double S = 0.0; + double T = 0.0; + + for (int j = 0; j < this.N; j++) { + T += K; + S = 0.0; + + for (int i = 0; i < Math.min(j+1, this.M); i++) { + S += H; + this.AX[j] += K * S * (T - 1.0) * this.X[i]; + } + for (int i = j + 1; i < this.M; i++) { + S += H; + this.AX[j] += K * T * (S - 1.0) * this.X[i]; + } + + } + + } + + } + + } + +} diff --git a/simple_examples/source/int32/F03BAJE.java b/simple_examples/source/int32/F03BAJE.java new file mode 100644 index 0000000..673ddec --- /dev/null +++ b/simple_examples/source/int32/F03BAJE.java @@ -0,0 +1,108 @@ +import com.nag.routines.F03.F03BA; +import com.nag.routines.F07.F07AD; +import com.nag.routines.X04.X04CA; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * F03BAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class F03BAJE{ + + /** + * F03BAJ example main program. + */ + public static void main(String[] args){ + double d = 0; + int id = 0, ifail, info = 0, lda = 0, n = 0; + double[] a; + int[] ipiv; + + //Should initialise values so java doesn't give any errors because of try/catch + a = new double[n]; + ipiv = new int[n]; + + System.out.println("F03BAJ Example Program Results"); + + //If file name not given print usage info + if(args.length != 1){ + F03BAJE.usage(); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[1]); + + lda = n; + + //reallocate with values from data file + a = new double[n * lda]; + ipiv = new int[n]; + + //read in matrix + for(int i = 0; i < n; i++){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < n; j++){ + a[i + (j * n)] = Double.parseDouble(sVal[j]); + } + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + F07AD f07ad = new F07AD(n, n, a, lda, ipiv, info); + f07ad.eval(); + + ifail = 0; + + //Print out matrix + System.out.println(); + X04CA x04ca = new X04CA("G", "N", n, n, a, lda, "Array A after factorization", ifail); + x04ca.eval(); + + System.out.println(); + System.out.println("Pivots"); + for(int i = 0; i < n; i++){ + System.out.printf("\t%d ", ipiv[i]); + } + System.out.printf("\n"); + System.out.println(); + + ifail = 0; + + F03BA f03ba = new F03BA(n, a, lda, ipiv, d, id, ifail); + f03ba.eval(); + d = f03ba.getD(); + id = f03ba.getID(); + + System.out.printf("D = \t%.5f ID = \t%d\n", d, id); + System.out.println(); + System.out.printf("Value of determinant = %.5e\n", d * Math.pow(2.0, id)); + + } + + /** + * Print usage information. + */ + private static void usage(){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + +} + diff --git a/simple_examples/source/int32/F04AMJE.java b/simple_examples/source/int32/F04AMJE.java new file mode 100644 index 0000000..a498b2b --- /dev/null +++ b/simple_examples/source/int32/F04AMJE.java @@ -0,0 +1,114 @@ +import com.nag.routines.F04.F04AM; +import com.nag.routines.X02.X02AJ; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * F04AMJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class F04AMJE{ + + /** + * F04AMJ example main program. + */ + public static void main(String[] args){ + int m = 0, n = 0; + int ifail, ir, lda, ldb, ldqr, ldx; + double eps; + double[] a, b, alpha, e, qr, r, x, y, z; + int[] ipiv; + + System.out.println("F04AMJ Example Program Results"); + + if(args.length != 1){ + F04AMJE.usage(); + } + + //declare so try/catch works + a = new double[0]; + b = new double[0]; + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + m = Integer.parseInt(sVal[1]); + n = Integer.parseInt(sVal[2]); + + a = new double[m * n]; + b = new double[m * 1]; + + for(int i = 0; i < m; i++){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < n; j++){ + a[i + (j * m) ] = Double.parseDouble(sVal[j]); + } + for(int j = n; j < m; j++){ + b[i + (j * (m - (n + 1)))] = Double.parseDouble(sVal[j]); + } + } + } + catch(FileNotFoundException err){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException err){ + System.err.println("***FATAL: Can't read " + filename + "\n" + err.getMessage()); + } + //Setting these in try block is more robust but less neat + //May be needed for array sizes~ + ir = 1; + lda = m; + ldb = m; + ldqr = m; + ldx = n; + + alpha = new double[n]; + e = new double[n]; + qr = new double[ldqr * n]; + r = new double[m]; + x = new double[ldx * ir]; + y = new double[n]; + z = new double[n]; + ipiv = new int[n]; + + X02AJ x02aj = new X02AJ(); + eps = x02aj.eval(); + + ifail = 0; + + F04AM f04am = new F04AM(a, lda, x, ldx, b, ldb, m, n, ir, eps, qr, ldqr, alpha, e, y, z, r, ipiv, ifail); + f04am.eval(); + //update any values you want here + x = f04am.getX(); + + System.out.println("Solution"); + for(int i = 0; i < n; i++){ + for(int j = 0; j < ir; j++){ + System.out.printf("%.4f ", x[j + (i * ir)]); + } + System.out.printf("\n"); + } + } + + /** + * No arguments supplied when example runs + */ + private static void usage() { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} + + + + + + diff --git a/simple_examples/source/int32/F04BAJE.java b/simple_examples/source/int32/F04BAJE.java new file mode 100644 index 0000000..79c2b01 --- /dev/null +++ b/simple_examples/source/int32/F04BAJE.java @@ -0,0 +1,144 @@ +import com.nag.routines.F04.F04BA; +import com.nag.routines.X04.X04CA; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * F04BAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class F04BAJE{ + + /** + * F04BAJ example main program. + */ + public static void main(String[] args){ + int n = 0, nrhs = 0, lda = 0, ldb = 0; //placeholder + int ierr, ifail; + double errbnd, rcond; + double a[], b[]; + int ipiv[]; + + a = new double[0]; b = new double[0]; //placeholder + + if(args.length != 1){ + F04BAJE.usage(); + } + + System.out.println("F04BAJ Example Program Results"); + System.out.println(); + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[1]); + nrhs = Integer.parseInt(sVal[2]); + + lda = n; + ldb = n; + + a = new double[lda * n]; + b = new double[ldb * nrhs]; + + line = reader.readLine(); + for(int i = 0; i < lda; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < n; j++){ + a[i + (j * n)] = Double.parseDouble(sVal[j + 1]); + } + } + + line = reader.readLine(); + for(int i = 0; i < ldb; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < nrhs; j++){ + b[i + (j * n)] = Double.parseDouble(sVal[j + 1]); + } + } + + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ifail = 1; + ipiv = new int[n]; + rcond = 0; + errbnd = 0; + F04BA f04ba = new F04BA(n, nrhs, a, lda, ipiv, b, ldb, rcond, errbnd, ifail); + f04ba.eval(); + + ifail = f04ba.getIFAIL(); + rcond = f04ba.getRCOND(); + errbnd = f04ba.getERRBND(); + ipiv = f04ba.getIPIV(); + a = f04ba.getA(); + b = f04ba.getB(); + + if(ifail == 0){ + //Print solution, estimate of condition number and approximate error bound. + ierr = 0; + X04CA x04ca = new X04CA("General", " ", n, nrhs, b, ldb, "Solution", ierr); + x04ca.eval(); + + System.out.println(); + System.out.println("Estimate of condition number"); + System.out.printf("%.1e\n", 1/rcond); + System.out.println(); + System.out.println("Esttimate of error bound for computed solutions"); + System.out.printf("%.1e\n", errbnd); + } + else if(ifail == (n + 1)){ + //Matrix A is numerically singular. Print estimate of reciprocal of condition number and solution. + System.out.println(); + System.out.println("Estimate of reciprocal of condition number"); + System.out.printf("%.1e\n", rcond); + System.out.println(); + + ierr = 0; + X04CA x04ca = new X04CA("General", " ", n, nrhs, b, ldb, "Solution", ierr); + x04ca.eval(); + } + else if(ifail > 0 && ifail <= n){ + //The upper triangular matrix U is exactly singular. Print details of factorization. + System.out.println(); + + ierr = 0; + X04CA x04ca = new X04CA("General", " ", n, n, a, lda, "Details of factorization", ierr); + x04ca.eval(); + + System.out.println(); + System.out.println("Pivot indices"); + for(int i = 0; i < n; i++){ + System.out.printf("%d ", ipiv[i]); + } + System.out.printf("\n"); + } + else{ + System.out.printf(" ** F04BAF returned with IFAIL = %d\n", ifail); + } + + } + + /** + * No arguments supplied when example runs + */ + private static void usage() { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} diff --git a/simple_examples/source/int32/F05AAJE.java b/simple_examples/source/int32/F05AAJE.java new file mode 100644 index 0000000..317c269 --- /dev/null +++ b/simple_examples/source/int32/F05AAJE.java @@ -0,0 +1,99 @@ +import com.nag.routines.F05.F05AA; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * F05AAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class F05AAJE{ + + /** + * F05AAJ example main program. + */ + public static void main(String[] args) { + //Should initialise values to avoid issues with try/catch + int icol = 0, ifail = 0, lda = 0, m = 0, n1 = 0, n2 = 0; + double cc = 0; + double[] a, s; + + //same as ints + a = new double[1]; + s = new double[1]; + System.out.println("F05AAJ Example Program Results"); + System.out.println(); + + //supply data + if(args.length != 1){ + F05AAJE.usage(); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+");; + m = Integer.parseInt(sVal[1]); + n1 = Integer.parseInt(sVal[2]); + n2 = Integer.parseInt(sVal[3]); + lda = m; + + a = new double[lda*n2]; + s = new double[n2]; + + //read in a from data + for(int i = 0; i < n2; i++){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < m; j++){ + a[i + (j * n2)] = Double.parseDouble(sVal[j]); + } + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + //create object then eval + F05AA f05aa = new F05AA(a, lda, m, n1, n2, s, cc, icol, ifail); + f05aa.eval(); + + //update values + n1 = f05aa.getN1(); + n2 = f05aa.getN2(); + cc = f05aa.getCC(); + icol = f05aa.getICOL(); + a = f05aa.getA(); + + System.out.printf("N1 = %d N2 = %d\n", n1, n2); + System.out.println(); + System.out.printf("CC = %.4f ICOL = %d\n", cc, icol); + System.out.println(); + System.out.println("Final Vectors"); + + for(int i = 0; i < n2; i++){ + for(int j = 1; j < m; j++){ + System.out.printf("%.4f ", a[i +(j * n2)]); + } + System.out.printf("\n"); + } + } + + /** + * Print usage information. + */ + private static void usage(){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} + diff --git a/simple_examples/source/int32/F06CLJE.java b/simple_examples/source/int32/F06CLJE.java new file mode 100644 index 0000000..ca2ac5e --- /dev/null +++ b/simple_examples/source/int32/F06CLJE.java @@ -0,0 +1,40 @@ +import com.nag.routines.F06.F06CL; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; + +/** + * F06CL example program text. + * @author ludovic + */ +public class F06CLJE { + + public static void main(String[] args) { + boolean fail = false; + NAGComplex z1 = new NAGComplex(); + NAGComplex z2 = new NAGComplex(); + NAGComplex z3 = new NAGComplex(); + + System.out.println(" F06CLJ Example Program Results"); + System.out.println(); + + Routine.complex = z1; + + z1.setRe(1.0); + z1.setIm(1.0); + z2.setRe(2.0); + z2.setIm(2.0); + + F06CL f06cl = new F06CL(z1,z2,fail); + z3 = (NAGComplex)f06cl.eval(); + fail = f06cl.getFAIL(); + + if (fail) { + System.err.println(" Something went wrong..."); + } + else { + System.out.println(" " + z1.toString() + "/"+ z2.toString() + " = " + z3.toString()); + } + + } + +} diff --git a/simple_examples/source/int32/F07AAJE.java b/simple_examples/source/int32/F07AAJE.java new file mode 100644 index 0000000..26eb5dc --- /dev/null +++ b/simple_examples/source/int32/F07AAJE.java @@ -0,0 +1,90 @@ +import com.nag.routines.F07.F07AA; +import com.nag.routines.X04.X04CA; +import java.util.Arrays; + +/** + * F07AA example program text. + * @author joed + */ +public class F07AAJE { + + public static void main(String[] args) { + + int i, ifail, info, lda, ldb, n; + double[] a, b; + int[] ipiv; + + System.out.println(" F07AAJ Example Program Results"); + System.out.println(); + + n = 4; + lda = n; + ldb = n; + + a = new double[n*n]; + b = new double[n]; + ipiv = new int[n]; + + a[0+0*n] = 1.80; + a[0+1*n] = 2.88; + a[0+2*n] = 2.05; + a[0+3*n] = -0.89; + a[1+0*n] = 5.25; + a[1+1*n] = -2.95; + a[1+2*n] = -0.95; + a[1+3*n] = -3.80; + a[2+0*n] = 1.58; + a[2+1*n] = -2.69; + a[2+2*n] = -2.90; + a[2+3*n] = -1.04; + a[3+0*n] = -1.11; + a[3+1*n] = -0.66; + a[3+2*n] = -0.59; + a[3+3*n] = 0.80; + + b[0] = 9.52; + b[1] = 24.35; + b[2] = 0.77; + b[3] = -6.22; + + /* Solve the equations Ax = b for x */ + + F07AA f07aa = new F07AA(); + info = 0; + f07aa.eval(n, 1, a, lda, ipiv, b, ldb, info); + info = f07aa.getINFO(); + + if (info == 0) { + + /* Print solution */ + + System.out.println(" Solution"); + for (i = 0; i < n; i++) { + System.out.printf(" %11.4f", b[i]); + } + System.out.printf("\n"); + + /* Print details of factorization */ + + System.out.println(); + X04CA x04ca = new X04CA(); + ifail = 0; + x04ca.eval("General", " ", n, n, a, lda, "Details of factorization", ifail); + + /* Print pivot indices */ + + System.out.println(); + System.out.println(" Pivot indices"); + for (i = 0; i < n; i++) { + System.out.printf(" %11d", ipiv[i]); + } + System.out.printf("\n"); + + } + else { + System.err.printf(" The (%3d,%3d) element of the factor U is zero\n", info, info); + } + + } + +} diff --git a/simple_examples/source/int32/F07ABJE.java b/simple_examples/source/int32/F07ABJE.java new file mode 100644 index 0000000..6362739 --- /dev/null +++ b/simple_examples/source/int32/F07ABJE.java @@ -0,0 +1,134 @@ +import com.nag.routines.F07.DGESVX; +import com.nag.routines.X04.X04CA; + +/** + * F07ABJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class F07ABJE{ + + /** + * F07ABJ example main program + */ + public static void main(String[] args){ + double rcond = 0; + int ifail, info = 0, lda, ldaf, ldb, ldx, n, nrhs; //placeholders + String equed; + double[] a, af, b, berr, c, ferr, r, work, x; + int[] ipiv, iwork; + + System.out.println("F07ABJ Example Program Results"); + System.out.println(); + + //Problem size + n = 4; + nrhs = 2; + lda = n; + ldaf = n; + ldb = n; + ldx = n; + + //Allocate + a = new double[lda * n]; + af = new double[ldaf * n]; + b = new double[ldb * nrhs]; + berr = new double[nrhs]; + c = new double[n]; + ferr = new double[nrhs]; + r = new double[n]; + work = new double[4 * n]; + x = new double[ldx * nrhs]; + ipiv = new int[n]; + iwork = new int[n]; + equed = " "; + + //Matrices A and B + a[0] = 1.8; + a[1] = 525; + a[2] = 1.58; + a[3] = -1.11; + a[4] = 2.88; + a[5] = -295; + a[6] = -2.69; + a[7] = -0.66; + a[8] = 2.05; + a[9] = -95; + a[10] = -2.9; + a[11] = -0.59; + a[12] = -0.89; + a[13] = -380; + a[14] = -1.04; + a[15] = 0.8; + b[0] = 9.52; + b[1] = 2435; + b[2] = 0.77; + b[3] = -6.22; + b[4] = 18.47; + b[5] = 225; + b[6] = -13.28; + b[7] = -6.21; + + //Solve the equations AX = B for X + //The NAG name equivalent of dgesvx is f07abf + DGESVX dgesvx = new DGESVX("Equilibration", "No Transpose", n, nrhs, a, lda, af, ldaf, ipiv, equed, r, + c, b, ldb, x, ldx, rcond, ferr, berr, work, iwork, info); + dgesvx.eval(); + + //Update + info = dgesvx.getINFO(); + equed = dgesvx.getEQUED(); + rcond = dgesvx.getRCOND(); + + if(info == 0 || info == n + 1){ + //Print solution, error bounds, condition number, the form of equilibration and the pivot growth factor + + //ifail: behaviour on error exit + // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft + ifail = 0; + X04CA x04ca = new X04CA("General", " ", n, nrhs, x, ldx, "Solution(s)", ifail); + x04ca.eval(); + + System.out.println(); + System.out.println("Backward errors (machine-dependent)"); + for(int i = 0; i < nrhs; i++){ + System.out.printf(" %.1e ", berr[i]); + } + System.out.println(); + System.out.println(); + System.out.println("Estimated forward error bounds (machine-dependent)"); + for(int i = 0; i < nrhs; i++){ + System.out.printf(" %.1e ", ferr[i]); + } + System.out.println(); + System.out.println(); + if(equed.equals("N")){ + System.out.println("A has not been equilibrated"); + } + else if(equed.equals("R")){ + System.out.println("A has been row scaled as diag(R)*A"); + } + else if(equed.equals("C")){ + System.out.println("A has been column scaled as A*diag(C)"); + } + else if(equed.equals("B")){ + System.out.println("A has been row and column scaled as diag(R)*A*diag(C)"); + } + System.out.println(); + System.out.println("Reciprocal condition number estimate of scaled matrix"); + System.out.printf(" %.1e\n", rcond); + System.out.println(); + System.out.println("Estimate of reciprocal pivot growth factor"); + System.out.printf(" %.1e\n", work[0]); + System.out.println(); + + if(info == n + 1){ + System.out.println(); + System.out.println("The matrix A is singular to working precision"); + } + } + else{ + System.out.println("The (" + info + ", " + info + ")" + " element of the factor U is zero"); + } + } +} diff --git a/simple_examples/source/int32/F07ADJE.java b/simple_examples/source/int32/F07ADJE.java new file mode 100644 index 0000000..4450683 --- /dev/null +++ b/simple_examples/source/int32/F07ADJE.java @@ -0,0 +1,72 @@ +import com.nag.routines.F07.DGETRF; +import com.nag.routines.X04.X04CA; + +/** + * F07ADJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class F07ADJE{ + + /** + * F07ADJ Example main program + */ + public static void main(String[] args){ + int ifail, info = 0, lda, m, n; + double[] a; + int[] ipiv; + + System.out.println("F07ADJ Example Program Results"); + System.out.println(); + + //Problem size (can be read from data file) + m = 4; + n = 4; + lda = m; + + //Data + ipiv = new int[n]; + a = new double[m * n]; + a[0] = 1.8; + a[1] = 5.25; + a[2] = 1.58; + a[3] = -1.11; + a[4] = 2.88; + a[5] = -2.95; + a[6] = -2.69; + a[7] = -0.66; + a[8] = 2.05; + a[9] = -0.95; + a[10] = -2.9; + a[11] = -0.59; + a[12] = -0.89; + a[13] = -3.8; + a[14] = -1.04; + a[15] = 0.8; + + //Factorize A + //The NAG name equivalent of dgetrf is F07ADF + DGETRF dgetrf = new DGETRF(m, n, a, lda, ipiv, info); + dgetrf.eval(); + + //Update + info = dgetrf.getINFO(); + + //ifail: behaviour on error exit + // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft + ifail = 0; + X04CA x04ca = new X04CA("General", " ", m, n, a, lda, "Details of factorization", ifail); + x04ca.eval(); + + //Print pivot indices + System.out.println("IPIV"); + for(int i = 0; i < Math.min(m, n); i++){ + System.out.printf("\t%d", ipiv[i]); + } + System.out.println(); + + if(info != 0){ + System.out.println("The factor U is singular"); + } + } +} diff --git a/simple_examples/source/int32/F07AQJE.java b/simple_examples/source/int32/F07AQJE.java new file mode 100644 index 0000000..5ee47e5 --- /dev/null +++ b/simple_examples/source/int32/F07AQJE.java @@ -0,0 +1,99 @@ +import com.nag.routines.F07.F07AQ; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; +import com.nag.types.NAGComplexF; + +/** + * F07AQ example program text. + * @author joed + * @since 27.1.0.0 + */ +public class F07AQJE { + + public static void main(String[] args) { + + F07AQ f07aq = new F07AQ(); + int info, iter, lda, ldb, ldx, n, r; + NAGComplex[] a, b, work, x; + NAGComplexF[] swork; + double[] rwork; + int[] ipiv; + + System.out.println(" F07AQJ Example Program Results"); + System.out.println(); + + // Set dimensions and instantiate arrays + n = 4; + r = 1; + lda = ldb = ldx = n; + a = new NAGComplex[lda*n]; + b = new NAGComplex[ldb*r]; + work = (NAGComplex[]) (new NAGComplex()).getArrayOfInstances(n*r); + x = (NAGComplex[]) (new NAGComplex()).getArrayOfInstances(ldx*r); + swork = (NAGComplexF[]) (new NAGComplexF()).getArrayOfInstances(n*(n+r)); + ipiv = new int[n]; + rwork = new double[n]; + + // Set A + a[0] = new NAGComplex(-1.34, 2.55); // Column 1 + a[1] = new NAGComplex(-0.17, -1.41); + a[2] = new NAGComplex(-3.29, -2.39); + a[3] = new NAGComplex(2.41, 0.39); + a[4] = new NAGComplex(0.28, 3.17); // Column 2 + a[5] = new NAGComplex(3.31, -0.15); + a[6] = new NAGComplex(-1.91, 4.42); + a[7] = new NAGComplex(-0.56, 1.47); + a[8] = new NAGComplex(-6.39, -2.20); // Column 3 + a[9] = new NAGComplex(-0.15, 1.34); + a[10] = new NAGComplex(-0.14, -1.35); + a[11] = new NAGComplex(-0.83, -0.69); + a[12] = new NAGComplex(0.72, -0.92); // Column 4 + a[13] = new NAGComplex(1.29, 1.38); + a[14] = new NAGComplex(1.72, 1.35); + a[15] = new NAGComplex(-1.96, 0.67); + + // Set B + b[0] = new NAGComplex(26.26,51.78); + b[1] = new NAGComplex( 6.43,-8.68); + b[2] = new NAGComplex(-5.75,25.31); + b[3] = new NAGComplex( 1.16, 2.57); + + // Notify wrappers of complex types + Routine.setComplex(new NAGComplex()); + Routine.setComplexF(new NAGComplexF()); + + // Solve the equations Ax = b for x + iter = info = 0; + f07aq.eval(n, r, a, lda, ipiv, b, ldb, x, ldx, work, swork, rwork, iter, info); + iter = f07aq.getITER(); + info = f07aq.getINFO(); + + if (info == 0) { + + // Print solution + + System.out.println(" Solution"); + for (int i = 0; i < n; i++) { + for (int j = 0; j < r; j++) { + System.out.printf(" (%7.4f,%7.4f)", x[j*n+i].getRe(), x[j*n+i].getIm()); + } + } + System.out.println(); + + // Print pivot indices + + System.out.println(); + System.out.println(" Pivot indices"); + for (int i = 0; i < n; i++) { + System.out.printf(" %11d", ipiv[i]); + } + System.out.println(); + + } + else { + System.out.printf(" The (%3d,%3d) element of the factor U is zero", info, iter); + } + + } + +} diff --git a/simple_examples/source/int32/F07FAJE.java b/simple_examples/source/int32/F07FAJE.java new file mode 100644 index 0000000..e516051 --- /dev/null +++ b/simple_examples/source/int32/F07FAJE.java @@ -0,0 +1,79 @@ +import com.nag.routines.F07.F07FA; +import com.nag.routines.X04.X04CA; + +/** + * F07FA example program text. + * @author saraht + */ +public class F07FAJE { + + public static void main(String[] args) { + + int i, ifail, info, lda, n; + double[] a, b; + + System.out.println(" F07FAJ Example Program Results"); + System.out.println(); + + n = 4; + lda = n; + + a = new double[n*n]; + b = new double[n]; + + /* A = 4.16 -3.12 0.56 -0.10 + 5.03 -0.83 1.18 + 0.76 0.34 + 1.18 */ + + a[0+0*n] = 4.16; + a[0+1*n] = -3.12; + a[0+2*n] = 0.56; + a[0+3*n] = -0.10; + + a[1+1*n] = 5.03; + a[1+2*n] = -0.83; + a[1+3*n] = 1.18; + + a[2+2*n] = 0.76; + a[2+3*n] = 0.34; + + a[3+3*n] = 1.18; + + b[0] = 8.70; + b[1] = -13.35; + b[2] = 1.89; + b[3] = -4.14; + + /* Solve the equations Ax = b for x */ + + F07FA f07fa = new F07FA(); + info = 0; + f07fa.eval("Upper", n, 1, a, lda, b, n, info); + info = f07fa.getINFO(); + + if (info == 0) { + + /* Print solution */ + + System.out.println(" Solution"); + for (i = 0; i < n; i++) { + System.out.printf(" %11.4f", b[i]); + } + System.out.printf("\n"); + + /* Print details of factorization */ + + System.out.println(); + X04CA x04ca = new X04CA(); + ifail = 0; + x04ca.eval("Upper", "Non-unit diagonal", n, n, a, lda, "Cholesky factor U", ifail); + + } + else { + System.err.printf(" The leading minor of order %d is not positive definite \n", info); + } + + } + +} diff --git a/simple_examples/source/int32/F07FBJE.java b/simple_examples/source/int32/F07FBJE.java new file mode 100644 index 0000000..09bbd37 --- /dev/null +++ b/simple_examples/source/int32/F07FBJE.java @@ -0,0 +1,122 @@ +import com.nag.routines.F07.F07FB; +import com.nag.routines.X04.X04CA; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * F07FB example program text. + * @author ludovic + */ +public class F07FBJE { + + public static void main(String[] args) { + String fact,uplo,equed; + int n, nrhs,lda,ldaf,ldb,ldx; + int[] iwork; + double rcond; + double[] a,af,s,b,x,ferr,berr,work; + int info,ifail; + lda = 4; + ldaf = lda; + ldb = lda; + ldx = lda; + nrhs = 2; + n = 4; + a = new double[lda*lda]; + af = new double[ldaf*ldaf]; + b = new double[ldb*nrhs]; + berr = new double[nrhs]; + ferr = new double[nrhs]; + s = new double[lda]; + work = new double[3*lda]; + x = new double[ldx*nrhs]; + iwork = new int[lda]; + info = 1; + rcond = Double.NaN; + fact = "E"; + uplo = "U"; + equed = "Z";//dummy value + /*A = 4.16 -3.12 0.56 -0.10 + 5.03 -0.83 1.18 + 0.76 0.34 + 1.18*/ + a[0] = 4.16; + + a[4] = -3.12; + a[5] = 5.03; + + a[8] = 0.56; + a[9] = -0.83; + a[10] = 0.76; + + a[12] = -0.10; + a[13] = 1.18; + a[14] = 0.34; + a[15] = 1.18; + + /*B= 8.70 8.30 + -13.35 2.13 + 1.89 1.61 + - 4.14 5.00*/ + b[0] = 8.70; + b[1] = -13.35; + b[2] = 1.89; + b[3] = -4.14; + + b[4] = 8.30; + b[5] = 2.13; + b[6] = 1.61; + b[7] = 5.00; + + System.out.println(" F07FBJ Example Program Results"); + System.out.println(); + + F07FB f07fb = new F07FB(fact, uplo, n, nrhs, a, lda, af, ldaf, equed, s, b, + ldb, x, ldx, rcond, ferr, berr, work, iwork, info); + f07fb.eval(); + fact = f07fb.getFACT(); + uplo = f07fb.getUPLO(); + equed = f07fb.getEQUED(); + rcond = f07fb.getRCOND(); + info = f07fb.getINFO(); + + + if ((info == 0) || (info == n+1)) { + ifail = 0; + (new X04CA()).eval("General"," ",n,nrhs,x,ldx,"Solution(s)",ifail); + System.out.println(); + System.out.println(" Backward errors (machine-dependent)"); + System.out.print(" "); + for (int ii = 0; ii < nrhs; ++ii) { + System.out.printf(" %11.1e",berr[ii]); + } + System.out.println("\n"); + System.out.println(" Estimated forward error bounds (machine-dependent)"); + System.out.print(" "); + for (int ii = 0; ii < nrhs; ++ii) { + System.out.printf(" %11.1e",ferr[ii]); + } + System.out.println("\n"); + System.out.println(" Estimate of reciprocal condition number"); + System.out.printf(" %11.1e\n",rcond); + System.out.println(); + if (equed.equalsIgnoreCase("N")) { + System.out.println(" A has not been equilibrated"); + } + else if (equed.equalsIgnoreCase("N")) { + System.out.println(" A has been row and column scaled as diag(S)*A*diag(S)"); + } + + if (info == n+1) { + System.out.println(); + System.out.println(" The matrix A is singular to working precision"); + } + + } + else { + System.out.printf(" The leading minor of order %3d is not positive definite\n"); + } + + } + +} diff --git a/simple_examples/source/int32/F08BTJE.java b/simple_examples/source/int32/F08BTJE.java new file mode 100644 index 0000000..43c219b --- /dev/null +++ b/simple_examples/source/int32/F08BTJE.java @@ -0,0 +1,228 @@ +import static java.lang.Math.*; + +import com.nag.routines.F06.F06JJ; +import com.nag.routines.F06.F06ZJ; +import com.nag.routines.F08.F08AU; +import com.nag.routines.F08.F08BT; +import com.nag.routines.Routine; +import com.nag.routines.X04.X04DB; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.regex.Matcher; +import java.util.regex.Pattern; + +/** + * F08BT example program text. + * @author ludovic + */ +public class F08BTJE { + + public static void main(String[] args) throws FileNotFoundException, IOException { + int incl = 1, nb = 64; + double tol; + int ifail, info = 0, k, lda, ldb, lwork, m, n, nrhs; + NAGComplex[] a, b, tau, work; + double[] rnorm, rwork; + int[] jpvt; + String[] clabs = new String[]{" "}, rlabs = new String[]{" "}; + + // Setup complex constants + NAGComplex one = new NAGComplex(); + NAGComplex zero = new NAGComplex(); + one.setRe(1.0); + one.setIm(0.0); + zero.setRe(0.0); + zero.setIm(0.0); + + // Inform the Routine class of the type of complex in use - can use any complex object + Routine.complex = one; + + System.out.println(" F08BTJ Example Program Results"); + System.out.println(); + + // Read values from data file + BufferedReader br = new BufferedReader(new FileReader(args[0])); + String line = br.readLine(); + line = br.readLine().trim(); + line = br.readLine().trim(); + String[] vals = line.split("\\s+"); + m = Integer.parseInt(vals[0].trim()); + n = Integer.parseInt(vals[1].trim()); + nrhs = Integer.parseInt(vals[2].trim()); + lda = ldb = m; + lwork = (n + 1) * nb; + a = new NAGComplex[lda * n]; + b = new NAGComplex[ldb * nrhs]; + tau = new NAGComplex[n]; + work = new NAGComplex[lwork]; + rnorm = new double[nrhs]; + rwork = new double[2 * n]; + jpvt = new int[n]; + + // Actually initialize the complex arrays + for (int i = 0; i < a.length; ++i) { + a[i] = new NAGComplex(); + } + for (int i = 0; i < b.length; ++i) { + b[i] = new NAGComplex(); + } + for (int i = 0; i < tau.length; ++i) { + tau[i] = new NAGComplex(); + } + for (int i = 0; i < work.length; ++i) { + work[i] = new NAGComplex(); + } + + /* Read A and B from data file */ + + readCompMatrix(br, a, lda, n); + readCompMatrix(br, b, ldb, nrhs); + br.close(); + + /* Initialize JPVT to be zero so that all columns are free */ + + for (int i = 0; i < n; ++i) { + jpvt[i] = 0; + } + + /* Compute the QR factorization of A */ + + F08BT f08bt = new F08BT(m, n, a, lda, jpvt, tau, work, lwork, rwork, info); + f08bt.eval(); + + /* Compute C = (C1) = (Q**H)*B, storing the result in B (C2) */ + + String side = "Left"; + String conjTrans = "Conjugate Transpose"; + F08AU f08au = new F08AU(side, conjTrans, m, nrhs, n, a, lda, tau, b, ldb, work, lwork, info); + f08au.eval(); + a = (NAGComplex[])f08au.getA(); + + /* Choose TOL to reflect the relative accuracy of the input data */ + + tol = 0.01; + + /* Determine and print the rank, K, or R relative to TOL */ + + for (k = 1; k < n + 1; ++k) { + if (abs(a[k - 1 + lda * (k - 1)]) <= tol * abs(a[0])) { + break; + } + } + k = k - 1; + + System.out.println(" Tolerance used to estimate the rank of A"); + System.out.printf(" %11.2E\n", tol); + System.out.println(" Estimated rank of A"); + System.out.printf(" %8d\n", k); + + /* Compute least squares solutions by back-substitution in R(1:K,1:K)*Y = C1 + * storing the result in B */ + + String upDown = "Upper"; + String trans = "No transpose"; + String unit = "Non-Unit"; + F06ZJ f06zj = new F06ZJ(side, upDown, trans, unit, k, nrhs, one, a, lda, b, ldb); + f06zj.eval(); + + /* Compute estimates of the square roots of the residual sums of squares + * (2-norm of each of the columns of C2) */ + + int mMinusK = m - k; + NAGComplex[] btmp = new NAGComplex[b.length]; + for (int i = 0; i < btmp.length; ++i) { + btmp[i] = new NAGComplex(); + } + System.arraycopy(b, k, btmp, 0, b.length - k); + + F06JJ f06jj = new F06JJ(mMinusK, btmp, incl); + rnorm[0] = f06jj.eval(mMinusK, btmp, incl); + System.arraycopy(btmp, 0, b, k, b.length - k); + for (int j = 1; j < nrhs; ++j) { + System.arraycopy(b, k + j * ldb, btmp, 0, b.length - k - j * ldb); + rnorm[j] = f06jj.eval(mMinusK, btmp, incl); + System.arraycopy(btmp,0, b, k + j * ldb, b.length - k - j * ldb); + } + + /* Set the remaining elements of the solutions to zero (to give the + * basic solutions) */ + + for (int i = k; i < n; ++i) { + for (int j = 0; j < nrhs; ++j) { + NAGComplex tmp = new NAGComplex(); + tmp.setRe(0.0); + tmp.setIm(0.0); + b[i + j * ldb] = tmp; + } + } + + /* Permute the least squares solution stored in B to give X = P*Y */ + + for (int j = 0; j < nrhs; j++) { + for (int i = 0; i < n; i++) { + work[jpvt[i] - 1] = b[j*ldb + i]; + } + for (int i = 0; i < n; i++) { + b[j*ldb + i] = work[i]; + } + } + + /* Print least squares solutions */ + + X04DB x04db = new X04DB(); + ifail = 0; + x04db.eval("General"," ",n,nrhs,b,ldb,"Bracketed","F7.4","Least squares solution(s)", + "Integer",rlabs,"Integer",clabs,80,0,ifail); + + /* Print the square roots of the residual sums of squares */ + + System.out.println(); + System.out.println(" Square root(s) of the residual sum(s) of squares"); + System.out.printf(" "); + for (int i = 0; i < nrhs; ++i) { + System.out.printf("%11.2E", rnorm[i]); + } + System.out.println(); + + } + + private static void readCompMatrix(BufferedReader br, NAGComplex[] mat, int row, + int col) throws IOException { + + // matches one complex number (without the brackets...) + String complexPat = "\\(([,0-9\\.\\-\\+\\s]*)\\)"; + String fullPattern = complexPat; + for (int i = 0; i < col -1; ++i) { + fullPattern = fullPattern + "\\s*" + complexPat; + } + fullPattern = fullPattern + ".*"; + Pattern comppat = Pattern.compile(fullPattern); + + for (int i = 0; i < row; ++i) { + String line = br.readLine().trim(); + if (line.equalsIgnoreCase("")) { + line = br.readLine().trim(); + } + Matcher m = comppat.matcher(line.trim()); + if (m.matches()) { + for (int j = 0; j < col; ++j) { + String[] numbers = m.group(j + 1).trim().split(","); + mat[i + j * row].setRe(Double.parseDouble(numbers[0].trim())); + mat[i + j * row].setIm(Double.parseDouble(numbers[1].trim())); + // System.out.print("mat["+i+","+j+"]=("+numbers[0].trim()+","+numbers[1].trim()+") "); + } + // System.out.println(); + } + + + } + } + + private static double abs(NAGComplex z) { + return sqrt(z.getRe() * z.getRe() + z.getIm() * z.getIm()); + } + +} diff --git a/simple_examples/source/int32/F08FAJE.java b/simple_examples/source/int32/F08FAJE.java new file mode 100644 index 0000000..028f854 --- /dev/null +++ b/simple_examples/source/int32/F08FAJE.java @@ -0,0 +1,113 @@ +import com.nag.routines.F08.DDISNA; +import com.nag.routines.F08.F08FA; +import com.nag.routines.F16.F16JQ; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X04.X04CA; +import java.util.Arrays; +import java.util.logging.Level; +import java.util.logging.Logger; + + +/** + * F08FA example program text. + * @author ludovic + */ +public class F08FAJE { + + public static void main(String[] args) { + int n = 4, LWork = n*64, lda = n; + double[] a, w, work,zerrbd,rcondz, colVector; + int info = 0, ifail = 0, k = 0; + a = new double[n * n]; + w = new double[n]; + work = new double[LWork]; + zerrbd = new double[n]; + rcondz = new double[n]; + colVector = new double[n]; + + System.out.println(" F08FAJ Example Program Results\n"); + + //array a : Stored in column major way + + a[0] = 1.0; + a[1] = 2.0; + a[2] = 3.0; + a[3] = 4.0; + + a[4] = 2.0; + a[5] = 2.0; + a[6] = 3.0; + a[7] = 4.0; + + a[8] = 3.0; + a[9] = 3.0; + a[10] = 3.0; + a[11] = 4.0; + + a[12] = 4.0; + a[13] = 4.0; + a[14] = 4.0; + a[15] = 4.0; + + //initializing the info parameter + info = 0; + w[0] = Double.NaN; + w[1] = Double.NaN; + w[2] = Double.NaN; + w[3] = Double.NaN; + F08FA f08fa = new F08FA("V", "U", n, a, n, w, work, LWork, info); + f08fa.eval(); + info = f08fa.getINFO(); + + if (info == 0) { + System.out.println(" Eigenvalues"); + System.out.print(" "); + for (int i = 0; i < n; ++i) { + System.out.printf(" %8.4f",w[i]); + } + System.out.println(); + + // Normalize the eigenvectors: largest element positive + F16JQ f16jq = new F16JQ(); // aka blas_damax_val + for (int i = 0; i < n; i++) { + System.arraycopy(a, 4*i, colVector, 0, 4); // Form vector to evaluate + f16jq.eval(n, colVector, 1, k, 0.0); // Get index of largest (absolute) value + k = f16jq.getK() - 1; // Make index zero based + + // Invert sign of column if largest element is negative + if (a[(4*i)+k] < 0) { + for (int j = 0; j < n; j++) { + a[(4*i)+j] = (-1) * a[(4*i)+j]; + } + } + + } + + (new X04CA()).eval("General"," ",n,n,a,lda,"Eigenvectors",ifail); + + double eps = (new X02AJ()).eval(); + double eerrbd = eps*Math.max(Math.abs(w[0]),Math.abs(w[n-1])); + + (new DDISNA()).eval("Eigenvectors",n,n,w,rcondz,info); + for (int i = 0; i < n; ++i) { + zerrbd[i] = eerrbd/rcondz[i]; + } + + System.out.println(); + System.out.println(" Error estimate for the eigenvalues"); + System.out.printf(" %11.1e\n",eerrbd); + System.out.println(); + System.out.println(" Error estimates for the eigenvectors"); + for (int i = 0; i < n; ++i) { + System.out.printf(" %11.1e",zerrbd[i]); + } + System.out.println(); + + } + else { + System.out.printf(" Failure in DSYEV. INFO =%4d",info); + } + + } + +} diff --git a/simple_examples/source/int32/F08XPJE.java b/simple_examples/source/int32/F08XPJE.java new file mode 100644 index 0000000..cc894d3 --- /dev/null +++ b/simple_examples/source/int32/F08XPJE.java @@ -0,0 +1,297 @@ +import com.nag.routines.F06.F06UA; +import com.nag.routines.F06.F06BN; +import com.nag.routines.F06.ZGEMM; +import com.nag.routines.F08.ZGGESX; +import com.nag.routines.M01.M01DA; +import com.nag.routines.M01.M01ED; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.X04.X04DB; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * F08XPJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class F08XPJE{ + + public static boolean chkfac = false; + public static boolean prcond = false; + public static boolean prmat = false; + public static int nb = 64; + + /* + * F08XPJ Example main program + */ + public static void main(String[] args){ + NAGComplex alph, bet; + double abnorm, anorm, bnorm, eps, normd, norme, tol; + int ifail, info = 0, lda, ldb, ldc, ldd, lde, ldvsl, ldvsr, liwork, lwork, n, sdim = 0; + boolean factor; + NAGComplex[] a, alpha, b, beta, c, d, e, vsl, vsr, work, dummy; + double[] rconde, rcondv, rwork; + int[] idum, iwork; + boolean[] bwork; + String[] clabs, rlabs; + + //Placeholders + idum = new int[1]; + rconde = new double[2]; + rcondv = new double[2]; + dummy = NAGComplex.createArray(1); + + System.out.println("F08XPJ Example Program Results"); + System.out.println(); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + //Tell wrappers what time of complex type is going to be used + Routine.setComplex(new NAGComplex()); + + //n declared here for neater code but can be read in from data file + n = 4; + lda = n; + ldb = n; + ldc = n; + ldd = n; + lde = n; + ldvsl = n; + ldvsr = n; + + //Allocate + a = NAGComplex.createArray(lda * n); + alpha = NAGComplex.createArray(n); + b = NAGComplex.createArray(ldb * n); + beta = NAGComplex.createArray(n); + c = NAGComplex.createArray(ldc * n); + d = NAGComplex.createArray(ldd * n); + e = NAGComplex.createArray(lde * n); + vsl = NAGComplex.createArray(ldvsl * n); + vsr = NAGComplex.createArray(ldvsr * n); + rwork = new double[8 * n]; + bwork = new boolean[n]; + clabs = new String[1]; + clabs[0] = " "; + rlabs = new String[1]; + rlabs[0] = " "; + + //Use routine workspace query to get optimal workspace + lwork = -1; + liwork = -1; + //The NAG name equivalent of zggesx is f08xpf + selctg selctg1 = new selctg(); + ZGGESX zggesx = new ZGGESX("Vectors (left)", "Vectors (right)", "Sort", selctg1, "Both reciprocal condition numbers", + n, a, lda, b, ldb, sdim, alpha, beta, vsl, ldvsl, vsr, ldvsr, rconde, rcondv, dummy, lwork, + rwork, idum, liwork, bwork, info); + zggesx.eval(); + + //Make sure that there is a enough workspace for block size nb + lwork = Math.max((n * nb) + (n * n/2), (int) Math.rint(dummy[0].getRe())); + liwork = Math.max(n + 2, idum[0]); + work = NAGComplex.createArray(lwork); + iwork = new int[liwork]; + + //Read in matrices A and B + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); // skip header + line = reader.readLine(); //skip n (set manually for neater code) + String[] sVal; + + for(int i = 0; i < 2; i++){ + for(int j = 0; j < n; j++){ + line = reader.readLine(); + sVal = line.split("\\)"); + for(int k = 0; k < n; k++){ + if(i == 0){ + a[(k * n) + j] = parseComplex(sVal[k]); + } + else{ + b[(k * n) + j] = parseComplex(sVal[k]); + } + } + } + } + + } + catch(FileNotFoundException err){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException err){ + System.err.println("***FATAL: Can't read " + filename + "\n" + err.getMessage()); + } + + if(chkfac){ + for(int i = 0; i < a.length; i++){ + //Copy A and B into D and E respectively + d[i] = a[i]; + e[i] = b[i]; + } + } + + //Find the Forbenius norms of A and B + //The NAG name equivalent of the LAPACK auxiliary zlange is f06uaf + F06UA f06ua = new F06UA(); + anorm = f06ua.eval("Frobenius", n, n, a, lda, rwork); + bnorm = f06ua.eval("Frobenius", n, n, b, ldb, rwork); + + if(prmat){ + //Print matrices A and B + //ifail : behaviour on error exit + // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft + ifail = 0; + X04DB x04db = new X04DB("General", " ", n, n, a, lda, "Bracketed", "F8.4", "Matrix A", "Integer", + rlabs, "Integer", clabs, 80, 0, ifail); + x04db.eval(); + System.out.println(); + + ifail = 0; + x04db = new X04DB("General", " ", n, n, b, ldb, "Bracketed", "F8.4", "Matrix B", "Integer", + rlabs, "Integer", clabs, 80, 0, ifail); + x04db.eval(); + System.out.println(); + } + + factor = true; + //Find the generalized Schur form + //The NAG name equivalent of zggesx is f08xpf + zggesx = new ZGGESX("Vectors (left)", "Vectors (right)", "Sort", selctg1, "Both reciprocal condition numbers", + n, a, lda, b, ldb, sdim, alpha, beta, vsl, ldvsl, vsr, ldvsr, rconde, rcondv, work, lwork, + rwork, iwork, liwork, bwork, info); + zggesx.eval(); + + //update + sdim = zggesx.getSDIM(); + + if(info != 0 && info != (n + 2)){ + System.out.printf("Failure in ZGGESX. INFO = %d\n", info); + factor = false; + } + else if(chkfac){ + //Compute A - Q*S*Z^H from the factorization of (A,B) and store in matrix D + //The NAG name equivalent of zgemm is f06zaf + alph = new NAGComplex(1, 0); + bet = new NAGComplex(0, 0); + ZGEMM zgemm = new ZGEMM("N", "N", n, n, n, alph, vsl, ldvsl, a, lda, bet, c, ldc); + zgemm.eval(); + + alph = new NAGComplex(-1, 0); + bet = new NAGComplex(1, 0); + zgemm = new ZGEMM("N", "C", n, n, n, alph, c, ldc, vsr, ldvsr, bet, d, ldd); + zgemm.eval(); + + //Compute B - Q*T*Z^H from the factorization of (A,B) and store in matrix E + alph = new NAGComplex(1, 0); + bet = new NAGComplex(0, 0); + zgemm = new ZGEMM("N", "N", n, n, n, alph, vsl, ldvsl, b, ldb, bet, c, ldc); + zgemm.eval(); + + alph = new NAGComplex(-1, 0); + bet = new NAGComplex(1, 0); + zgemm = new ZGEMM("N", "C", n, n, n, alph, c, ldc, vsr, ldvsr, bet, e, lde); + zgemm.eval(); + + //Find norms of matrices D and E and warn if either is too large + f06ua = new F06UA("0", ldd, n, d, ldd, rwork); + normd = f06ua.eval(); + X02AJ x02aj = new X02AJ(); + if(normd > Math.pow(x02aj.eval(), 0.75)){ + System.out.println("Norm of A-(Q*S*Z^T) is much greater than 0."); + factor = false; + System.out.println("Schur factorization has failed"); + } + f06ua = new F06UA("0", lde, n, e, lde, rwork); + norme = f06ua.eval(); + if(norme > Math.pow(x02aj.eval(), 0.75)){ + System.out.println("Norm of B-(Q*T*Z^T is much greater than 0."); + factor = false; + } + } + + if(factor){ + //Print eigenvalue details + System.out.printf("Number of eigenvalues for which SELCTG is true = %d\n", sdim); + System.out.println("(dimension of deflating subspaces)"); + + System.out.println(); + //Print selected (finite) generalized eigenvalues + System.out.println("Selected generalized eigenvalues"); + + //Store absolute values of eigenvalues for ranking + for(int i = 0; i < n; i++){ + work[i] = alpha[i].divide(beta[i]); + rwork[i] = NAGComplex.abs(work[i]); + } + + //Rank eigenvalues + ifail = 0; + M01DA m01da = new M01DA(rwork, 1, sdim, "Descending", iwork, ifail); + m01da.eval(); + + //Sort eigevalues in work + M01ED m01ed = new M01ED(work, 1, sdim, iwork, ifail); + m01ed.eval(); + for(int i = 0; i < sdim; i++){ + System.out.printf(" %d\t(%.2f, %.2f)\n", i + 1, work[i].getRe(), work[i].getIm()); + } + + if(info == n + 2){ + System.out.println("*** note that rounding errors mean that leading eigenvalues in"); + System.out.println("the generalized Schur form no longer satisfy SELCTG = TRUE"); + System.out.println(); + } + + if(prcond){ + //Compute the machine precision and sqrt(anorm^2 + bnorm^2) + X02AJ x02aj = new X02AJ(); + eps = x02aj.eval(); + F06BN f06bn = new F06BN(anorm, bnorm); + abnorm = f06bn.eval(); + tol = eps * abnorm; + + //Print out the reciprocal condition numbers and error bound for selected eigenvalues + System.out.println("Reciprocal condition numbers for the average of the selected"); + System.out.println("eigenvalues and their asymptotic error bound"); + System.out.printf("rcond-left = %.1e, rcond-right = %.1e, error = %.1e\n", rcondv[0], rcondv[1], tol/rcondv[1]); + } + } + else{ + System.out.println("Schur factorization has failed"); + } + + } + + /** + * Converts String read in from data file to NAGComplex value. + * @param s + * Complex number string + * @return new NAGComplex representing s + */ + public static NAGComplex parseComplex(String s){ + s = s.trim(); + double re = Double.parseDouble(s.substring(1, 7)); + double im = Double.parseDouble(s.substring(8)); + return new NAGComplex(re, im); + } + + /** + * Class representing function selctg implementing ZGGESX_SELCTG to pass to ZGGESX. + */ + public static class selctg extends ZGGESX.Abstract_ZGGESX_SELCTG{ + public boolean eval(){ + return (NAGComplex.abs((NAGComplex)this.A) < (6 * NAGComplex.abs((NAGComplex)this.B))); + } + } + +} diff --git a/simple_examples/source/int32/G01ALJE.java b/simple_examples/source/int32/G01ALJE.java new file mode 100644 index 0000000..672a151 --- /dev/null +++ b/simple_examples/source/int32/G01ALJE.java @@ -0,0 +1,55 @@ +import com.nag.routines.G01.G01AL; + +/** + * G01ALJ Example Program Text + * @author willa + * @since 27.1.0.0 + */ +public class G01ALJE{ + + /** + * G01ALJ Example main program + */ + public static void main(String[] args){ + int ifail, n; + double[] x, res; + int[] iwrk; + + res = new double[5]; + + System.out.println("G01ALJ Example Program Results"); + System.out.println(); + + //Problem size + n = 12; + + //Allocate + x = new double[n]; + iwrk = new int[n]; + + //Data + x[0] = 12; + x[1] = 9; + x[2] = 2; + x[3] = 5; + x[4] = 6; + x[5] = 8; + x[6] = 2; + x[7] = 7; + x[8] = 3; + x[9] = 1; + x[10] = 11; + x[11] = 10; + + //Calculate summary statistics + ifail = 0; + G01AL g01al = new G01AL(n, x, iwrk, res, ifail); + g01al.eval(); + + System.out.printf("Maximum %.4f\n", res[4]); + System.out.printf("Upper Hinge (75%% quantile) %.4f\n", res[3]); + System.out.printf("Median (50%% quantile) %.4f\n", res[2]); + System.out.printf("Lower Hinge (25%% quantile) %.4f\n", res[1]); + System.out.printf("Minimum %.4f\n", res[0]); + } +} diff --git a/simple_examples/source/int32/G02AKJE.java b/simple_examples/source/int32/G02AKJE.java new file mode 100644 index 0000000..8ddaff2 --- /dev/null +++ b/simple_examples/source/int32/G02AKJE.java @@ -0,0 +1,68 @@ +import com.nag.routines.G02.G02AK; +import com.nag.routines.X04.X04CA; + +/** + * G02AK example program text. + * @author joed + * @since 27.0.0.0 + */ +public class G02AKJE { + + /** + * G02AKJ example main program. + */ + public static void main(String[] args) { + + G02AK g02ak = new G02AK(); + X04CA x04ca = new X04CA(); + double errtol, f, rankerr, ranktol; + int i, ifail, ldg, ldx, maxit, maxits, n, nsub, rank; + double[] g, x; + + System.out.println("G02AKJ Example Program Results\n"); + + // Problem size + n = 4; + ldg = n; + ldx = n; + + // Rank constraint + rank = 2; + + // Matrix G (column-major) + g = new double[]{ + 2.0, -1.0, 0.0, 0.0, + -1.0, 2.0, -1.0, 0.0, + 0.0, -1.0, 2.0, -1.0, + 0.0, 0.0, -1.0, 2.0 + }; + + // Use the defaults for errtol, ranktol, maxits, maxit + errtol = 0.0; + ranktol = 0.0; + maxits = 0; + maxit = 0; + + // Calculate rank constrained nearest correlation matrix + ifail = 0; + x = new double[ldx*n]; + f = 0.0; + rankerr = 0.0; + nsub = 0; + g02ak.eval(g, ldg, n, rank, errtol, ranktol, maxits, maxit, x, ldx, f, + rankerr, nsub, ifail); + nsub = g02ak.getNSUB(); + f = g02ak.getF(); + rankerr = g02ak.getRANKERR(); + + // Display results + ifail = 0; + x04ca.eval("General", " ", n, n, x, ldx, "NCM with rank constraint", ifail); + System.out.println(); + System.out.printf("Number of subproblems solved: %12d\n\n", nsub); + System.out.printf("Squared Frobenius norm of difference: %9.4f\n\n", f); + System.out.printf("Rank error: %35.4f\n", rankerr); + + } + +} diff --git a/simple_examples/source/int32/G02BJJE.java b/simple_examples/source/int32/G02BJJE.java new file mode 100644 index 0000000..3de843e --- /dev/null +++ b/simple_examples/source/int32/G02BJJE.java @@ -0,0 +1,303 @@ +import com.nag.routines.G02.G02BJ; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * G02BJ example program text. + * @author ludovic + */ +public class G02BJJE { + + public static void main(String[] args) { + int i, ifail, ldcnt, ldr, ldssp, ldx, ncases = 0; //, m = 0, n = 0, nvars = 0; + double[] cnt, r, ssp, std, xbar;//, xmiss; + + if (args.length != 1) { + G02BJJE.usage(); + } + + String dataFile = args[0]; + DataHolder data = new DataHolder(); + readDataFile(dataFile, data); + System.out.println(" G02BJJ Example Program Results"); + System.out.println(); + + ldcnt = ldr = ldssp = data.nvars; + ldx = data.n; + cnt = new double[ldcnt * data.nvars]; + r = new double[ldr * data.nvars]; + ssp = new double[ldssp * data.nvars]; + std = new double[data.nvars]; + xbar = new double[data.nvars]; + + + //Display the data + + System.out.printf(" Number of variables (columns) = %5d\n", data.m); + System.out.printf(" Number of cases (rows) = %5d\n", data.n); + System.out.println(); + System.out.println(" Data matrix is:-"); + for (int ii = 0; ii < data.m; ++ii) { + System.out.printf(" %12d",ii+1); + } + System.out.println(); + for (int ii = 0; ii < data.n; ++ii) { + System.out.printf(" %3d ",ii+1); + for (int jj = 0; jj < data.m; ++jj) { + System.out.printf("%12.4f ",data.x[ii + jj * data.n]); + } + System.out.println(); + } + + ifail = 0; + G02BJ g02bj = new G02BJ(data.n, data.m, data.x, ldx, data.miss, data.xmiss, + data.nvars, data.kvar, xbar, std, ssp, ldssp, r, ldr, ncases, cnt, + ldcnt, ifail); + g02bj.eval(); + + data.n = g02bj.getN(); + data.m = g02bj.getM(); + data.x = g02bj.getX(); + ldx = g02bj.getLDX(); + data.miss = g02bj.getMISS(); + data.xmiss = g02bj.getXMISS(); + data.nvars = g02bj.getNVARS(); + data.kvar = g02bj.getKVAR(); + xbar = g02bj.getXBAR(); + std = g02bj.getSTD(); + ssp = g02bj.getSSP(); + ldssp = g02bj.getLDSSP(); + r = g02bj.getR(); + ldr = g02bj.getLDR(); + ncases = g02bj.getNCASES(); + cnt = g02bj.getCNT(); + ldcnt = g02bj.getLDCNT(); + ifail = g02bj.getIFAIL(); + + //Display results + System.out.println(); + System.out.println(" Variable\tMean\tSt.dev."); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %5d %11.4f %11.4f\n",data.kvar[ii], xbar[ii], std[ii]); + } + System.out.println(); + System.out.println(" Sums of squares and cross-products of deviations"); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %12d",data.kvar[ii]); + } + System.out.println(); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %3d",data.kvar[ii]); + for (int jj = 0; jj < data.nvars; ++jj) { + System.out.printf(" %12.4f",ssp[ii + ldssp * jj]); + } + System.out.println(); + } + System.out.println(); + System.out.println(" Correlation coefficients"); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %12d",data.kvar[ii]); + } + System.out.println(); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %3d",data.kvar[ii]); + for (int jj = 0; jj < data.nvars; ++jj) { + System.out.printf(" %12.4f",r[ii + ldr * jj]); + } + System.out.println(); + } + System.out.println(); + System.out.printf(" Minimum number of cases used for any pair of variables: %5d\n", ncases); + System.out.println(); + System.out.println(" Numbers used for each pair are:"); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %12d",data.kvar[ii]); + } + System.out.println(); + for (int ii = 0; ii < data.nvars; ++ii) { + System.out.printf(" %3d",data.kvar[ii]); + for (int jj = 0; jj < data.nvars; ++jj) { + System.out.printf(" %12.4f",cnt[ii + ldcnt * jj]); + } + System.out.println(); + } + System.out.println(); + } + + private static void usage() { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + /** + G02BJF Example Program Data + 5 4 3 :: N, M, NVARS + 3.0 3.0 1.0 2.0 + 6.0 4.0 -1.0 4.0 + 9.0 0.0 5.0 9.0 + 12.0 2.0 0.0 0.0 + -1.0 5.0 4.0 12.0 :: End of X + 1 1 0 1 :: MISS + -1.0 0.0 0.0 0.0 :: XMISS + 4 1 2 :: KVAR + */ + private static void readDataFile(String filename, DataHolder data) { + try { + BufferedReader br = new BufferedReader(new FileReader(filename)); + String line = br.readLine(); // skip header + line = br.readLine(); + String[] sVal = line.split("\\s+"); + data.setN(Integer.parseInt(sVal[0])); + data.setM(Integer.parseInt(sVal[1])); + data.setNvars(Integer.parseInt(sVal[2])); + + data.x = new double[data.n * data.m]; + data.miss = new int[data.m]; + data.xmiss = new double[data.m]; + data.kvar = new int[data.nvars]; + + for (int i = 0; i < data.n; ++i) { + line = br.readLine().trim(); + sVal = line.split("\\s+"); + for (int j = 0; j < data.m; ++j) { + data.x[i + j * data.n] = Double.parseDouble(sVal[j]); + } + } + line = br.readLine().trim(); + sVal = line.split("\\s+"); + for (int j = 0; j < data.m; ++j) { + data.miss[j] = Integer.parseInt(sVal[j]); + } + line = br.readLine().trim(); + sVal = line.split("\\s+"); + for (int j = 0; j < data.m; ++j) { + data.xmiss[j] = Double.parseDouble(sVal[j]); + } + + line = br.readLine().trim(); + sVal = line.split("\\s+"); + for (int j = 0; j < data.nvars; ++j) { + data.kvar[j] = Integer.parseInt(sVal[j]); + } + } + catch (FileNotFoundException ex) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch (IOException ex) { + System.err.println("***FATAL: Can't Read " + filename + "\n" + ex.getMessage()); + System.exit(-3); + } + + } + + private static class DataHolder { + private int n; + private int m; + private int nvars; + private double[] x; + private int[] miss; + private double[] xmiss; + private int[] kvar; + + /** + * @return the n + */ + public int getN() { + return n; + } + + /** + * @param n the n to set + */ + public void setN(int n) { + this.n = n; + } + + /** + * @return the m + */ + public int getM() { + return m; + } + + /** + * @param m the m to set + */ + public void setM(int m) { + this.m = m; + } + + /** + * @return the nvars + */ + public int getNvars() { + return nvars; + } + + /** + * @param nvars the nvars to set + */ + public void setNvars(int nvars) { + this.nvars = nvars; + } + + /** + * @return the x + */ + public double[] getX() { + return x; + } + + /** + * @param x the x to set + */ + public void setX(double[] x) { + this.x = x; + } + + /** + * @return the miss + */ + public int[] getMiss() { + return miss; + } + + /** + * @param miss the miss to set + */ + public void setMiss(int[] miss) { + this.miss = miss; + } + + /** + * @return the xmiss + */ + public double[] getXmiss() { + return xmiss; + } + + /** + * @param xmiss the xmiss to set + */ + public void setXmiss(double[] xmiss) { + this.xmiss = xmiss; + } + + /** + * @return the kvar + */ + public int[] getKvar() { + return kvar; + } + + /** + * @param kvar the kvar to set + */ + public void setKvar(int[] kvar) { + this.kvar = kvar; + } + } +} diff --git a/simple_examples/source/int32/G02BRJE.java b/simple_examples/source/int32/G02BRJE.java new file mode 100644 index 0000000..084f478 --- /dev/null +++ b/simple_examples/source/int32/G02BRJE.java @@ -0,0 +1,134 @@ +import com.nag.routines.G02.G02BR; + +/** + * G02BRJ Example Program Text + * @author willa + * @since 27.1.0.0 + */ +public class G02BRJE{ + + /** + * G02BRJ Example main program + */ + public static void main(String[] args){ + int ifail, itype, ldrr, ldx, m, n, ncases = 0; //placeholder + double[] rr, work1, work2, x, xmiss; + int[] incase, kworka, kworkb, kworkc, miss; + + System.out.println("G02BRJ Example Program Results"); + System.out.println(); + + //Problem size + n = 9; + m = 3; + itype = 0; + + ldrr = m; + ldx = n; + + //Allocate + rr = new double[ldrr * m]; + work1 = new double[n]; + work2 = new double[n]; + x = new double[ldx * m]; + xmiss = new double[m]; + incase = new int[n]; + kworka = new int[n]; + kworkb = new int[n]; + kworkc = new int[n]; + miss = new int[m]; + + //Data + //X = (1.70, 1.00, 0.50) + // (2.80, 4.00, 3.00) + // (0.60, 6.00, 2.50) + // (1.80, 9.00, 6.00) + // (0.99, 4.00, 2.50) + // (1.40, 2.00, 5.50) + // (1.80, 9.00, 7.50) + // (2.50, 7.00, 0.00) + // (0.99, 5.00, 3.00) + x[0] = 1.7; + x[1] = 2.8; + x[2] = 0.6; + x[3] = 1.8; + x[4] = 0.99; + x[5] = 1.4; + x[6] = 1.8; + x[7] = 2.5; + x[8] = 0.99; + x[9] = 1; + x[10] = 4; + x[11] = 6; + x[12] = 9; + x[13] = 4; + x[14] = 2; + x[15] = 9; + x[16] = 7; + x[17] = 5; + x[18] = 0.5; + x[19] = 3; + x[20] = 2.5; + x[21] = 6; + x[22] = 2.5; + x[23] = 5.5; + x[24] = 7.5; + x[25] = 0; + x[26] = 3; + + //Missing value flags + miss[0] = 1; + miss[1] = 0; + miss[2] = 1; + xmiss[0] = 0.99; + xmiss[1] = 0; + xmiss[2] = 0; + + //Display data + System.out.printf("Number of variables (columns) = %d\n", m); + System.out.printf("Number of case (rows) = %d\n", n); + System.out.println(); + System.out.println("Data matrix is:-\n"); + System.out.println(); + for(int i = 0; i < m; i++){ + System.out.printf("\t %d", i + 1); + } + System.out.println(); + for(int i = 0; i < n; i++){ + System.out.printf(" %d\t", i + 1); + for(int j = 0; j < m; j++){ + System.out.printf("%.4f\t", x[(j * n) + i]); + } + System.out.println(); + } + System.out.println(); + + //Calculate correlation coefficients + ifail = 0; + G02BR g02br = new G02BR(n, m, x, ldx, miss, xmiss, itype, rr, ldrr, ncases, incase, kworka, kworkb, kworkc, + work1, work2, ifail); + g02br.eval(); + + //Update + ncases = g02br.getNCASES(); + + //Display results + System.out.println("Matrix of rank correlation coefficients:"); + System.out.println("Upper triangle -- Spearman's"); + System.out.println("Lower triangle -- Kendall's tau"); + System.out.println(); + for(int i = 0; i < m; i++){ + System.out.printf("\t %d", i + 1); + } + System.out.println(); + for(int i = 0; i < m; i++){ + System.out.printf(" %d\t", i + 1); + for(int j = 0; j < m; j++){ + System.out.printf("%.4f\t", rr[(j * m) + i]); + } + System.out.println(); + } + System.out.println(); + System.out.printf("Number of cases actually used: %d\n", ncases); + } +} diff --git a/simple_examples/source/int32/G02DAJE.java b/simple_examples/source/int32/G02DAJE.java new file mode 100644 index 0000000..c390197 --- /dev/null +++ b/simple_examples/source/int32/G02DAJE.java @@ -0,0 +1,187 @@ +import com.nag.routines.G02.G02BU; +import com.nag.routines.G02.G02DA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * G02DAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class G02DAJE{ + + /** + * G02DAJ Example main program + */ + public static void main(String[] args){ + double aic, arsq, en, mult, rsq, rss = 0, sw = 0, tol; + int idf = 0, ifail, ip, irank = 0, ldq, ldx, lwt, m, n; + boolean svd = false; + String mean, weight; + double[] b, cov, h, p, q, res, se, wk, wt, x, y, c, wmean; + int[] isx; + + System.out.println("G02DAJ Example Program Results"); + System.out.println(); + + c = new double[1]; + wmean = new double[1]; + + //Problem size (can be read in from data file + n = 12; + m = 4; + weight = "U"; + mean = "M"; + + if(weight.toLowerCase().equals("w")){ + lwt = n; + } + else{ + lwt = 0; + } + ldx = n; + + x = new double[ldx * m]; + y = new double[n]; + wt = new double[n]; + isx = new int[m]; + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + line = reader.readLine(); //skip n, m, weight, mean + + //Read in data + String[] sVal; + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < m; j++){ + x[(j * n) + i] = Double.parseDouble(sVal[j]); + } + y[i] = Double.parseDouble(sVal[m]); + if(lwt > 0){ + wt[i] = Double.parseDouble(sVal[m + 1]); + } + } + + //Read in variable inclusion flags + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int i = 0; i < m; i++){ + isx[i] = Integer.parseInt(sVal[i]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + System.exit(-2); + } + + //Calcluate IP + ip = 0; + for(int i = 0; i < m; i++){ + if(isx[i] == 1){ + ip++; + } + } + if(mean.toLowerCase().equals("m")){ + ip = ip + 1; + } + + //Allocate + ldq = n; + b = new double[ip]; + cov = new double[((ip * ip) + ip)/2]; + h = new double[n]; + p = new double[ip * ip * (ip + 2)]; + q = new double[ldq * (ip + 1)]; + res = new double[n]; + se = new double[ip]; + wk = new double[ip * ip + (5 * (ip - 1))]; + + //Use suggested value for tolerance + tol = 0.000001; + + //fit general linear regression model + ifail = -1; + G02DA g02da = new G02DA(mean, weight, n, x, ldx, m, isx, ip, y, wt, rss, idf, b, se, cov, res, h, q, + ldq, svd, irank, p, tol, wk, ifail); + g02da.eval(); + ifail = g02da.getIFAIL(); + if(ifail != 0){ + if(ifail != 5){ + System.exit(-3); + } + } + + //Calculate (weighted) total sums of squares, adjusted for mean if required + //If in G02DAF, an intercept is added to the regression by including a comlumn of + //1's in X, rather than by using the MEAN argument then MEAN = "M" should be used + //in this call to G02BUF + ifail = 0; + G02BU g02bu = new G02BU(mean, weight, n, 1, y, n, wt, sw, wmean, c, ifail); + g02bu.eval(); + + idf = g02da.getIDF(); + irank = g02da.getIRANK(); + //Get effective number of observations (=N if there are no zero weights) + en = (double) idf + irank; + + rss = g02da.getRSS(); + //Calculate R-squared, corrected R-Squared and AIC + rsq = 1 - rss/c[0]; + if(mean.toLowerCase().equals("m")){ + mult = (en - 1) / (en - irank); + } + else{ + mult = en / (en - irank); + } + arsq = 1 - mult * (1 - rsq); + aic = en * Math.log(rss/en) + (2 * irank); + + svd = g02da.getSVD(); + //Disply results + if(svd){ + System.out.printf("Model not of full rank, rank = %d", irank); + System.out.println(); + } + System.out.printf("Residual sum of squares = %.4e\n", rss); + System.out.printf("Degrees of freedom = %d\n", idf); + System.out.printf("R-squared = %.4e\n", rsq); + System.out.printf("Adjusted R-squared = %.4e\n", arsq); + System.out.printf("AIC = %.4e\n", aic); + System.out.println(); + System.out.printf("Variable\tParameter estimate\tStandard error\n"); + System.out.println(); + if(ifail == 0){ + for(int i = 0; i < ip; i++){ + System.out.printf(" %d\t\t %.4e\t\t %.4e\n", (i + 1), b[i], se[i]); + } + } + else{ + for(int i = 0; i < ip; i++){ + System.out.printf(" %d\t\t %.4e\n", (i + 1), b[i]); + } + } + System.out.println(); + System.out.printf(" Obs\t\t Residuals\t\t H\n"); + System.out.println(); + for(int i = 0; i < n; i++){ + System.out.printf(" %d\t\t %.4e\t\t %.4e\n", (i + 1), res[i], h[i]); + } + + } +} diff --git a/simple_examples/source/int32/G02EEJE.java b/simple_examples/source/int32/G02EEJE.java new file mode 100644 index 0000000..5856fde --- /dev/null +++ b/simple_examples/source/int32/G02EEJE.java @@ -0,0 +1,184 @@ +import com.nag.routines.G02.G02EE; +import java.io.*; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * G02EE example program text. + */ +public class G02EEJE { + + public static void main(String[] args) throws Exception { + int vnlen = 3; + double chrss, f, fin, rss; + rss = chrss = f = Double.NaN; + int idf = 0, ifail = 0, ifr = 0, istep = 0, ldq, ldx, lwt, m, maxip, n, nterm = 0; + boolean addvar = false; + String mean, weight, newvar; + newvar = " "; + double[] exss, p, q, wk, wt, x, y; + int[] isx; + String[] free, model, vname; + + System.out.println(" G02EEJ Example Program Results\n"); + + BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); + + String line = dataIn.readLine(); + + String[] data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); + + n = Integer.parseInt(data[0]); + m = Integer.parseInt(data[1]); + mean = data[2].substring(1,2); + weight = data[3].substring(1,2); + fin = Double.parseDouble(data[4]); + + if (weight.equalsIgnoreCase("W")) { + lwt = n; + } + else { + lwt = 0; + } + ldx = n; + + x = new double[ldx*m]; + y = new double[n]; + wt = new double[lwt]; + isx = new int[m]; + vname = new String[m]; + + for (int i = 0; i < vname.length;++i) { + StringBuilder tmp = new StringBuilder(); + for (int j = 0; j < vnlen; ++j) { + tmp.append(" "); + } + vname[i] = tmp.toString(); + } + + if (lwt > 0) { + for (int i = 0; i < n; ++i) { + data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); + for (int j = 0; j < m; ++j) { + x[i+j*ldx] = Double.parseDouble(data[j]); + } + y[i] = Double.parseDouble(data[m]); + wt[i] = Double.parseDouble(data[m+1]); + } + } + else { + for (int i = 0; i < n; ++i) { + data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); + for (int j = 0; j < m; ++j) { + x[i+j*ldx] = Double.parseDouble(data[j]); + } + y[i] = Double.parseDouble(data[m]); + } + } + data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); + for (int i = 0; i < m; ++i) { + isx[i] = Integer.parseInt(data[i]); + } + + data = dataIn.readLine().trim().split("::")[0].trim() + .replaceAll("^'","").replaceAll("'$","").split("'\\s+'"); + for (int i = 0; i < m; ++i) { + vname[i] = data[i].substring(0,3); + } + + dataIn.close(); + + maxip = 0; + for (int i = 0; i < m; ++i) { + if (isx[i] > 0) { + ++maxip; + } + } + + if (mean.equalsIgnoreCase("M")) { + maxip += 1; + } + + ldq = n; + model = new String[maxip]; + free = new String[maxip]; + exss = new double[maxip]; + q = new double[ldq*(maxip+2)]; + p = new double[maxip+1]; + wk = new double[2*maxip]; + + for (int i = 0; i < model.length; ++i) { + StringBuilder tmp = new StringBuilder(); + for (int j = 0; j < vnlen; ++j) { + tmp.append(" "); + } + model[i] = tmp.toString(); + } + for (int i = 0; i < free.length; ++i) { + StringBuilder tmp = new StringBuilder(); + for (int j = 0; j < vnlen; ++j) { + tmp.append(" "); + } + free[i] = tmp.toString(); + } + istep = 0; + ifail = -1; + + + G02EE g02ee = new G02EE(istep,mean,weight,n,m,x,ldx,vname,isx,maxip,y,wt,fin, + addvar,newvar,chrss,f,model,nterm,rss,idf,ifr,free,exss,q,ldq,p, + wk,ifail); + for (int i = 0; i < m; ++i) { + g02ee.setIFAIL(0); + g02ee.eval(); + + System.out.printf(" Step %2d\n",g02ee.getISTEP()); + if (!g02ee.getADDVAR()) { + System.out.printf(" No further variables added maximum F =%7.2f\n",g02ee.getF()); + System.out.print(" Free variables: "); + for (int j = 0; j < g02ee.getIFR(); ++j) { + System.out.print(" "+free[j]); + } + System.out.println(); + System.out.println(" Change in residual sums of squares for free variables:"); + for (int j = 0; j < g02ee.getIFR(); ++j) { + System.out.printf(" %9.4f",g02ee.getEXSS()[j]); + } + System.out.println(); + break; + } + else { + System.out.println(" Added variable is "+g02ee.getNEWVAR()); + System.out.printf(" Change in residual sum of squares = %12.4E\n",g02ee.getCHRSS()); + System.out.printf(" F Statistic = %7.2f\n",g02ee.getF()); + System.out.println(); + System.out.print(" Variables in model:"); + for (int j = 0; j < g02ee.getNTERM(); ++j) { + System.out.print(" "+g02ee.getMODEL()[j]); + } + System.out.println("\n"); + System.out.printf(" Residual sum of squares = %13.4E\n",g02ee.getRSS()); + System.out.printf(" Degrees of freedom = %2d\n",g02ee.getIDF()); + System.out.println(); + if (g02ee.getIFR() == 0) { + System.out.println(" No free variables remaining"); + break; + } + System.out.print(" Free variables: "); + for (int j = 0; j < g02ee.getIFR(); ++j) { + System.out.print(" "+free[j]); + } + System.out.println(); + System.out.println(" Change in residual sums of squares for free variables:"); + for (int j = 0; j < g02ee.getIFR(); ++j) { + System.out.printf(" %9.4f",g02ee.getEXSS()[j]); + } + System.out.println(); + + } + + } + + } + +} diff --git a/simple_examples/source/int32/G02MAJE.java b/simple_examples/source/int32/G02MAJE.java new file mode 100644 index 0000000..4a8bfcb --- /dev/null +++ b/simple_examples/source/int32/G02MAJE.java @@ -0,0 +1,130 @@ +import com.nag.routines.G02.G02MA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; +import java.util.Arrays; + +/** + * G02MAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class G02MAJE{ + + /** + * G02MAJ example main program + */ + public static void main(String[] args){ + int ifail, ip, ldb, ldd, lisx, lropt, m, mnstep, mtype, n, nstep = 0, pred, prey; + double[] b, d, fitsum, ropt, y; + int[] isx; + + isx = new int[0]; //placeholder + + System.out.println("G02MAJ Example Program Results"); + System.out.println(); + + //data (Could also read in from data file) + //Problem size + n = 20; + m = 6; + + //Model Specification + mtype = 1; + pred = 3; + prey = 1; + mnstep = 6; + lisx = 0; + + //Variable inclusion flags aren't needed in this example + ip = m; + + //Optional arguments (using defaults) + lropt = 0; + ropt = new double[lropt]; + + //D and Y + ldd = n; + y = new double[n]; + d = new double[ldd * m]; + + //Read in D and Y from data file (too large to write out) + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + line = reader.readLine(); //skip N, M + line = reader.readLine(); //skip mtype, pred, prey, mnstep, lisx + + String sVal[]; + + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < m; j++){ + d[(j * n) + i] = Double.parseDouble(sVal[j]); + } + y[i] = Double.parseDouble(sVal[m]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + System.exit(-2); + } + + //Allocate output arrays + ldb = ip; + b = new double[ldb * (mnstep + 2)]; + fitsum = new double[6 * (mnstep + 1)]; + + //Call the model fitting routine + ifail = -1; + G02MA g02ma = new G02MA(mtype, pred, prey, n, m, d, ldd, isx, lisx, y, mnstep, ip, nstep, b, ldb, + fitsum, ropt, lropt, ifail); + g02ma.eval(); + ifail = g02ma.getIFAIL(); + if(ifail != 0){ + if(ifail != 112 && ifail != 161 && ifail != 162 && ifail !=163){ + //ifail = 112, 161, 162, 163 are warnings, so no need to terminate + System.exit(-2); + } + } + + //update + nstep = g02ma.getNSTEP(); + + //Display the parameter estimates + System.out.printf(" Step\t\t\tParameter Estimate\n"); + System.out.println("------------------------------------------------------"); + for(int i = 0; i < nstep; i++){ + System.out.printf(" %d", (i + 1)); + for(int j = 0; j < ip; j++){ + System.out.printf("\t%.3f", b[j + (i * nstep)]); + } + System.out.printf("\n"); + } + System.out.println(); + System.out.printf("alpha: %.3f\n", fitsum[nstep * 6]); + System.out.println(); + System.out.printf(" Step Sum\tRSS\t df\t Cp\t Ck\tStep Size\n"); + System.out.println("---------------------------------------------------------"); + for(int k = 0; k < nstep; k++){ + System.out.printf(" %d %.3f\t%.3f %d\t %.3f\t %.3f %.3f\n", (k + 1), fitsum[k * nstep], fitsum[(k * nstep) + 1], + (int)(Math.floor(fitsum[(k + nstep) + 2] + 0.5)), fitsum[(k * nstep) + 3], + fitsum[(k * nstep) + 4], fitsum[(k * nstep) + 5]); + } + System.out.println(); + System.out.printf("sigma^2: %.3f\n", fitsum[(nstep * 6) + 4]); + } +} diff --git a/simple_examples/source/int32/G03GAJE.java b/simple_examples/source/int32/G03GAJE.java new file mode 100644 index 0000000..ba20592 --- /dev/null +++ b/simple_examples/source/int32/G03GAJE.java @@ -0,0 +1,355 @@ +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.Arrays; +import com.nag.routines.G03.G03GA; +import com.nag.routines.X04.X04CA; +import com.nag.routines.Routine; + +/** + * G03GAJ example program text. + * @author willa + * @since 27.0.0.0 + */ +public class G03GAJE{ + + /** + * G03GAJ example main program. + */ + public static void main(String[] args){ + int i, ldx, lprob, riter, lds, sds, ifail = 0; + double[] w, g, s, f; + double tol, loglik = 0; + + if(args.length != 1){ + G03GAJE.usage(); + } + + // Data file name as argument + String filename = args[0]; + // DataHolder object to hold data read in from data file + DataHolder data = new DataHolder(); + + readDataFile(filename, data); + + System.out.println(" G03GAJ Example Program Results"); + System.out.println(); + + // Leading dimensions + ldx = data.n; + lprob = data.n; + + + switch(data.sopt){ + case 1: + s = new double[data.nvar * data.nvar * data.ng]; + lds = data.nvar; + sds = data.nvar; + break; + case 2: + s = new double[data.nvar * data.nvar * 1]; + lds = data.nvar; + sds = data.nvar; + break; + case 3: + s = new double[data.nvar * data.ng * 1]; + lds = data.nvar; + sds = data.ng; + break; + case 4: + s = new double[data.nvar * 1 * 1]; + lds = data.nvar; + sds = 1; + break; + default: + s = new double[1 * 1 * 1]; + lds = 1; + sds = 1; + break; + } + + // Allocate array size + g = new double[data.nvar * data.ng]; + w = new double[data.ng]; + f = new double[data.n * data.ng]; + tol = 0.0; + riter = 5; + + ifail = 0; + + // Create g03ga object with variables from data file + G03GA g03ga = new G03GA(data.n, data.m, data.x, ldx, data.isx, data.nvar, data.ng, data.popt, data.prob, + lprob, data.niter, riter, w, g, data.sopt, s, lds, sds, f, tol, loglik, ifail); + + // Run routine + g03ga.eval(); + + // Update variables + data.n = g03ga.getN(); + data.m = g03ga.getM(); + data.x = g03ga.getX(); + ldx = g03ga.getLDX(); + data.isx = g03ga.getISX(); + data.nvar = g03ga.getNVAR(); + data.ng = g03ga.getNG(); + data.popt = g03ga.getPOPT(); + data.prob = g03ga.getPROB(); + lprob = g03ga.getLPROB(); + data.niter = g03ga.getNITER(); + riter = g03ga.getRITER(); + w = g03ga.getW(); + g = g03ga.getG(); + data.sopt = g03ga.getSOPT(); + s = g03ga.getS(); + lds = g03ga.getLDS(); + sds = g03ga.getSDS(); + f = g03ga.getF(); + tol = g03ga.getTOL(); + loglik = g03ga.getLOGLIK(); + ifail = g03ga.getIFAIL(); + + // Results + X04CA x04ca = new X04CA(); + + System.out.println(); + ifail = 0; + x04ca.eval("g", "n", 1, data.ng, w, 1, "Mixing proportions", ifail); + + System.out.println(); + ifail = 0; + x04ca.eval("g", "n", data.nvar, data.ng, g, data.nvar, "Group means", ifail); + + System.out.println(); + switch(data.sopt){ + case 1: + for(i = 0; i < data.ng; i++){ + ifail = 0; + // Wrapper returns a 1-dimensional array so X04CA has to be called like this to mimic + // calling X04CA along the 3rd dimension + x04ca.eval("g", "n", data.nvar, data.nvar, + Arrays.copyOfRange(s, (i * (data.nvar * data.nvar)), (data.nvar * data.nvar * data.ng)), + lds, "Variance-cavariance matrix", ifail); + } + break; + case 2: + ifail = 0; + x04ca.eval("g", "n", data.nvar, data.nvar, s, lds, "Pooled Variance-covariance matrix", ifail); + break; + case 3: + ifail = 0; + x04ca.eval("g", "n", data.nvar, data.ng, s, lds, "Groupwise Variance", ifail); + break; + case 4: + ifail = 0; + x04ca.eval("g", "n", data.nvar, 1, s, lds, "Pooled Variance", ifail); + break; + case 5: + ifail = 0; + x04ca.eval("g", "n", 1, 1, s, lds, "Overall Variance", ifail); + break; + } + + System.out.println(); + ifail = 0; + x04ca.eval("g", "n", data.n, data.ng, f, data.n, "Densities", ifail); + + System.out.println(); + ifail = 0; + x04ca.eval("g", "n", data.n, data.ng, data.prob, data.n, "Membership probabilities", ifail); + + System.out.println(); + System.out.println("No. iterations: " + data.niter); + System.out.printf("Log-likelihood: %.04f\n", loglik); + } + + /** + * Read data from given filename and puts into DataHolder object + * @param filename + * Name of data file (absolute or relative path) + * @param data + * DataHolder object to store data from data file + */ + public static void readDataFile(String filename, DataHolder data){ + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + // Problem size + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + data.setN(Integer.parseInt(sVal[0])); + data.setM(Integer.parseInt(sVal[1])); + data.setNvar(Integer.parseInt(sVal[2])); + + // Number of groups + line = reader.readLine(); + sVal = line.split("\\s+"); + data.setNg(Integer.parseInt(sVal[0])); + + // Scaling option + line = reader.readLine(); + sVal = line.split("\\s+"); + data.setSopt(Integer.parseInt(sVal[0])); + + // Initial probabilities option + line = reader.readLine(); + sVal = line.split("\\s+"); + data.setPopt(Integer.parseInt(sVal[0])); + + // Maximum number of iterations + line = reader.readLine(); + sVal = line.split("\\s+"); + data.setNiter(Integer.parseInt(sVal[0])); + + // + data.x = new double[data.m * data.n]; + data.prob = new double[data.ng * data.n]; + data.isx = new int[data.m]; + + //Data matrix X + for(int i = 0; i < data.n; ++i){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < data.m; ++j){ + data.x[i + (j * data.n)] = Double.parseDouble(sVal[j]); + } + } + + //Included variables + if(data.nvar != data.m){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int i = 0; i < data.m; ++i){ + data.isx[i] = Integer.parseInt(sVal[i]); + } + } + + + //Optionally read initial probabilities of group memebership (included in example data) + if(data.popt == 2){ + for(int i = 0; i < data.n; ++i){ + line = reader.readLine().trim(); + sVal = line.split("\\s+"); + for(int j = 0; j < data.ng; ++j){ + data.prob[i + (j * data.n)] = Double.parseDouble(sVal[j]); + } + } + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + + } + + /** + * Stores data from data file for later reference + */ + private static class DataHolder{ + private int n; + private int m; + private int nvar; + private int ng; + private int sopt; + private int popt; + private int niter; + private int isx[]; + private double x[]; + private double prob[]; + + public void setN(int n){ + this.n = n; + } + + public int getN(){ + return n; + } + + public void setM(int m){ + this.m = m; + } + + public int getM(){ + return m; + } + + public void setNvar(int nvar){ + this.nvar = nvar; + } + + public int getNvar(){ + return nvar; + } + + public void setNg(int ng){ + this.ng = ng; + } + + public int getNg(){ + return ng; + } + + public void setSopt(int sopt){ + this.sopt = sopt; + } + + public int getSopt(){ + return sopt; + } + + public void setPopt(int popt){ + this.popt = popt; + } + + public int getPopt(){ + return popt; + } + + public void setNiter(int niter){ + this.niter = niter; + } + + public int getNiter(){ + return niter; + } + + public void setIsx(int[] isx){ + this.isx = isx; + } + + public int[] getIsx(){ + return isx; + } + + public void setX(double[] x){ + this.x = x; + } + + public double[] getX(){ + return x; + } + + public void setProb(double[] prob){ + this.prob = prob; + } + + public double[] getProb(){ + return prob; + } + } + + /** + * No arguments supplied when example runs + */ + private static void usage() { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} + diff --git a/simple_examples/source/int32/G05KFJE.java b/simple_examples/source/int32/G05KFJE.java new file mode 100644 index 0000000..18ce755 --- /dev/null +++ b/simple_examples/source/int32/G05KFJE.java @@ -0,0 +1,105 @@ +import com.nag.routines.G05.G05KF; +import com.nag.routines.G05.G05SA; +import com.nag.routines.Routine; +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; + +/** + * G05KFJ example program text. + * @author willa + * @since 27.0.0.0 + */ +public class G05KFJE{ + + /** + * G05KFJ example main program. + */ + public static void main(String[] args){ + //genid, subid only initilised so they can be set in try{} without java throwing error + int lseed = 1, nin = 5, nout = 6, genid = 0, n = 0, subid = 0; + int ifail, lstate; + int[] seed, state; + double x[]; + + System.out.println("G05KFJ Example Program Results"); + System.out.println(); + + //No file input given + if(args.length != 1){ + G05KFJE.usage(); + } + + seed = new int[lseed]; + + //Read in data from data fiel + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //Read in the base generator information and seed + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + genid = Integer.parseInt(sVal[0]); + subid = Integer.parseInt(sVal[1]); + seed[0] = Integer.parseInt(sVal[2]); + + //Read in sample size + line = reader.readLine(); + sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[0]); + + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + lstate = 0; + ifail = 0; + state = new int[lstate]; + + //Initial call to get size of STATE array + G05KF g05kf = new G05KF(genid, subid, seed, lseed, state, lstate, ifail); + g05kf.eval(); + + //Update local variables + lstate = g05kf.getLSTATE(); + state = g05kf.getSTATE(); + + //Reallocate STATE + state = new int[lstate]; + + //Update object variables + g05kf.setSTATE(state); + g05kf.eval(); + + //Update local variables + state = g05kf.getSTATE(); + + x = new double[n]; + + //Generate the variates + ifail = 0; + G05SA g05sa = new G05SA(n, state, x, ifail); + g05sa.eval(); + + //Display the variates + for(int i = 0; i < x.length; i++){ + System.out.printf("%.4f\n", x[i]); + } + } + + /** + * Print usage information. + */ + private static void usage(){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } +} diff --git a/simple_examples/source/int32/G13AWJE.java b/simple_examples/source/int32/G13AWJE.java new file mode 100644 index 0000000..9e829bd --- /dev/null +++ b/simple_examples/source/int32/G13AWJE.java @@ -0,0 +1,31 @@ +import com.nag.routines.G01.G01EW; +import com.nag.routines.G13.G13AW; +import java.util.logging.Level; +import java.util.logging.Logger; + +/** + * G13AW example program text. + */ +public class G13AWJE { + + public static void main(String[] args) { + + int n = 30, type = 1, p = 1, ifail = 1, method = 1, nsamp = 0; + double[] y = {-217.,-177.,-166.,-136.,-110.,-95.,-64.,-37.,-14.,-25.,-51., + -62.,-73.,-88.,-113.,-120.,-83.,-33.,-19.,21.,17.,44.,44.,78., + 88.,122.,126.,114.,85.,64}; + int[] state = new int[1]; + G13AW g13aw = new G13AW(type, p, n, y, ifail); + System.out.println(" G13AWJ Example Program Results\n"); + double ts = g13aw.eval(); + G01EW g01ew = new G01EW(method,type,n,ts,nsamp,state,ifail); + double pvalue = g01ew.eval(); + ifail = g01ew.getIFAIL(); + if (ifail == 0 || ifail == 201) { + System.out.printf("Dickey-Fuller test statistic = %6.3f\n", ts); + System.out.printf("associated p-value = %6.3f\n", pvalue); + } + + } + +} diff --git a/simple_examples/source/int32/G13MEJE.java b/simple_examples/source/int32/G13MEJE.java new file mode 100644 index 0000000..a768a46 --- /dev/null +++ b/simple_examples/source/int32/G13MEJE.java @@ -0,0 +1,160 @@ +import com.nag.routines.G13.G13ME; + +/** + * G13MEJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class G13MEJE{ + + /** + * G13MEJ main program + */ + public static void main(String[] args){ + double tau; + int ifail, lrcomm, m, nb, pn; + double[] iema, rcomm, sinit, t; + int[] inter, nbVal; + + inter = new int[2]; + + System.out.println("G13MEJ Example Program Results"); + System.out.println(); + + //data (can read in from data file) + //Number of iteration required + m = 2; + + //Decay parameter and interpolation method + tau = 2; + inter[0] = 3; + inter[1] = 2; + + //Initial values + sinit = new double[m + 2]; + sinit[0] = 5; + sinit[1] = 0.5; + sinit[2] = 0.5; + sinit[3] = 0.5; + + //Array of NB values in order + nbVal = new int[3]; + nbVal[0] = 5; + nbVal[1] = 10; + nbVal[2] = 15; + + //First block + double[] t1 = new double[nbVal[0]]; + double[] iema1 = new double[nbVal[0]]; + t1[0] = 7.5; + t1[1] = 8.2; + t1[2] = 18.1; + t1[3] = 22.8; + t1[4] = 25.8; + iema1[0] = 0.6; + iema1[1] = 0.6; + iema1[2] = 0.8; + iema1[3] = 0.1; + iema1[4] = 0.2; + + //Second block + double[] t2 = new double[nbVal[1]]; + double[] iema2 = new double[nbVal[1]]; + t2[0] = 26.8; + t2[1] = 31.1; + t2[2] = 38.4; + t2[3] = 45.9; + t2[4] = 48.2; + t2[5] = 48.9; + t2[6] = 57.9; + t2[7] = 58.5; + t2[8] = 63.9; + t2[9] = 65.2; + iema2[0] = 0.2; + iema2[1] = 0.5; + iema2[2] = 0.7; + iema2[3] = 0.1; + iema2[4] = 0.4; + iema2[5] = 0.7; + iema2[6] = 0.8; + iema2[7] = 0.3; + iema2[8] = 0.2; + iema2[9] = 0.5; + + //Third block + double[] t3 = new double[nbVal[2]]; + double[] iema3 = new double[nbVal[2]]; + t3[0] = 66.6; + t3[1] = 67.4; + t3[2] = 69.3; + t3[3] = 69.9; + t3[4] = 73.0; + t3[5] = 75.6; + t3[6] = 77.0; + t3[7] = 84.7; + t3[8] = 86.8; + t3[9] = 88.0; + t3[10] = 88.5; + t3[11] = 91.0; + t3[12] = 93.0; + t3[13] = 93.7; + t3[14] = 94.0; + iema3[0] = 0.2; + iema3[1] = 0.3; + iema3[2] = 0.8; + iema3[3] = 0.6; + iema3[4] = 0.1; + iema3[5] = 0.7; + iema3[6] = 0.9; + iema3[7] = 0.6; + iema3[8] = 0.3; + iema3[9] = 0.1; + iema3[10] = 0.1; + iema3[11] = 0.4; + iema3[12] = 1.0; + iema3[13] = 1.0; + iema3[14] = 0.1; + + //Print some titles + System.out.printf("\t\t\tIterated\n"); + System.out.println("\t\tTime\t EMA\n"); + System.out.println("--------------------------------"); + + lrcomm = 20 + m; + rcomm = new double[lrcomm]; + + pn = 0; + + //Loop through 3 blocks + for(int i = 0; i < nbVal.length; i++){ + //nb for given block + nb = nbVal[i]; + + //Use data for current block + if(i == 0){ + t = t1; + iema = iema1; + } + else if(i == 1){ + t = t2; + iema = iema2; + } + else{ + t = t3; + iema = iema3; + } + + ifail = 0; + G13ME g13me = new G13ME(nb, iema, t, tau, m, sinit, inter, pn, rcomm, lrcomm, ifail); + g13me.eval(); + pn = g13me.getPN(); + + //Display results for this block of data + for(int j = 0; j < nb; j++){ + System.out.printf("\t%d\t%.1f\t%.3f\n", pn - nb + (j + 1), t[j], iema[j]); + } + System.out.println(); + } + } +} + diff --git a/simple_examples/source/int32/G13NAJE.java b/simple_examples/source/int32/G13NAJE.java new file mode 100644 index 0000000..2032eb1 --- /dev/null +++ b/simple_examples/source/int32/G13NAJE.java @@ -0,0 +1,123 @@ +import com.nag.routines.G13.G13NA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * G13NAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class G13NAJE{ + + /** + * G13NAJ example main program + */ + public static void main(String[] args){ + double beta = 0; + int ctype = 0, ifail, iparam = 0, minss = 0, n = 0, ntau = 0; //placeholder + double[] param, sparam, y; + int[] tau; + + param = new double[1]; + //Placeholder y to be read in from data file + y = new double[0]; + + System.out.println("G13NAJ Example Program Results"); + System.out.println(); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //Read in the problem size + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + n = Integer.parseInt(sVal[0]); + + //Allocate enough size to hold the input series + y = new double[n]; + + //Read in the input series + for(int i = 0; i < 10; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + for(int j = 0; j < 10; j++){ + y[(i * 10) + j] = Double.parseDouble(sVal[j]); + } + } + + //Read in the type of change point, penalty and minimum segment size + line = reader.readLine(); + sVal = line.split("\\s+"); + ctype = Integer.parseInt(sVal[0]); + iparam = Integer.parseInt(sVal[1]); + beta = Double.parseDouble(sVal[2]); + minss = Integer.parseInt(sVal[3]); + + //Read in the distribution parameter (if required) + if(iparam == 1){ + line = reader.readLine(); + sVal = line.split("\\s+"); + param[0] = Double.parseDouble(sVal[0]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + System.exit(-2); + } + + //Output arrays + tau = new int[n]; + sparam = new double[(2 * n) + 2]; + + ifail = -1; + + //Call routine to detece change points + G13NA g13na = new G13NA(ctype, n, y, beta, minss, iparam, param, ntau, tau, sparam, ifail); + g13na.eval(); + + //update + ifail = g13na.getIFAIL(); + ctype = g13na.getCTYPE(); + ntau = g13na.getNTAU(); + + if(ifail == 0 || ifail == 200 || ifail == 201){ + //Display the results + if(ctype == 5 || ctype == 6){ + //Exponential or Poisson distribtion + System.out.printf(" -- Charge Points -- Distribution\n"); + System.out.printf(" Number Position Parameter \n"); + System.out.println("====================================="); + for(int i = 0; i < ntau; i++){ + System.out.printf(" %d\t %d\t%.2f", i + 1, tau[i], sparam[i]); + } + + } + else{ + //Normal of Gamma distribution + System.out.printf(" -- Charge Points -- --- Distribution ---\n"); + System.out.printf(" Number Position Parameters\n"); + System.out.println("================================================="); + for(int i = 0; i < ntau; i++){ + System.out.printf(" %d\t %d\t %.2f\t %.2f\n", (i + 1), tau[i], sparam[2 * i], sparam[(2 * i) + 1]); + } + } + } + if(ifail == 200 || ifail == 201){ + System.out.println("Some truncation occured internally to avoid overflow"); + } + } +} diff --git a/simple_examples/source/int32/H02BBJE.java b/simple_examples/source/int32/H02BBJE.java new file mode 100644 index 0000000..04f4207 --- /dev/null +++ b/simple_examples/source/int32/H02BBJE.java @@ -0,0 +1,92 @@ +import com.nag.routines.H.H02BB; + +/** + * H02BBJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class H02BBJE{ + + /** + * H02BBJ example main program + */ + public static void main(String[] args){ + double bigbnd, objmip = 0, tolfes, toliv; + int ifail, intfst, itmax, lda, liwork, lrwork, m, maxdpt, maxnod, msglvl, n; + double[] a, bl, bu, cvec, rwork, x; + int[] intvar, iwork; + + System.out.println("H02BBJ Example Program Results"); + System.out.println(); + + //Data (can be read in from data file) + n = 2; + m = 3; + lda = m; + + a = new double[lda * n]; + bl = new double[m + n]; + bu = new double[m + n]; + cvec = new double[n]; + x = new double[n]; + intvar = new int[n]; + + itmax = 0; + msglvl = 10; + maxnod = 0; + intfst = 0; + maxdpt = 4; + tolfes = 0; + toliv = 0; + + cvec[0] = -3; + cvec[1] = -4; + + //A = ( 2, 5) + // ( 2, -2) + // ( 3, 2) + a[0] = 2; + a[1] = 2; + a[2] = 3; + a[3] = 5; + a[4] = -2; + a[5] = 2; + + bigbnd = 1E+20; + + bl[0] = 0; + bl[1] = 0; + bl[2] = -1E+20; + bl[3] = -1E+20; + bl[4] = 5; + + bu[0] = 1E+20; + bu[1] = 1E+20; + bu[2] = 15; + bu[3] = 5; + bu[4] = 1E+20; + + intvar[0] = 1; + intvar[1] = 1; + + x[0] = 1; + x[1] = 1; + + liwork = ((25 + n + m) * maxdpt) + (5 * n) + m + 4; + //Math.pow() needs to be casted to int in java + lrwork = (maxdpt * (n + 1)) + (2 * (int)Math.pow(Math.min(n, m + 1), 2)) + (14 * n) + (12 * m); + iwork = new int[liwork]; + rwork = new double[lrwork]; + + ifail = 0; + + H02BB h02bb = new H02BB(itmax, msglvl, n, m, a, lda, bl, bu, intvar, cvec, maxnod, intfst, maxdpt, toliv, + tolfes, bigbnd, x, objmip, iwork, liwork, rwork, lrwork, ifail); + h02bb.eval(); + } +} + + + + + diff --git a/simple_examples/source/int32/H02DAJE.java b/simple_examples/source/int32/H02DAJE.java new file mode 100644 index 0000000..6e90401 --- /dev/null +++ b/simple_examples/source/int32/H02DAJE.java @@ -0,0 +1,228 @@ +import com.nag.routines.H.H02DA; +import com.nag.routines.H.H02ZK; +import com.nag.routines.H.H02ZL; +import com.nag.routines.X04.X04CA; +import java.util.Arrays; + +/** + * H02DAJ exmaple program text + * @author willa + * @since 27.1.0.0 + */ +public class H02DAJE{ + + /** + * H02DAJ example main program + */ + public static void main(String[] args){ + double acc, accqp = 0, objmip = 0; + int ifail, ivalue = 0, lda, liopts, lopts, maxit, n, nclin, ncnln, optype = 0; + String cvalue; + double[] a, ax, bl, bu, c, cjac, d, objgrd, x, opts, ruser; + int[] iopts, iuser, varcon; + + System.out.println("H02DAJ Example Program Results"); + System.out.println(); + + opts = new double[100]; + ruser = new double[1]; + iopts = new int[200]; + iuser = new int[1]; + + //Blank 40 character string to represent ```Character (40) :: cvalue``` + char[] ch = new char[40]; + Arrays.fill(ch, ' '); + cvalue = new String(ch); + + n = 8; + nclin = 5; + ncnln = 2; + lda = nclin; + + a = new double[lda * n]; + d = new double[nclin]; + ax = new double[nclin]; + bl = new double[n]; + bu = new double[n]; + varcon = new int[n + nclin + ncnln]; + x = new double[n]; + c = new double[ncnln]; + cjac = new double[ncnln * n]; + objgrd = new double[n]; + + //Set variable types: continuous then binary + varcon[0] = 0; + varcon[1] = 0; + varcon[2] = 0; + varcon[3] = 0; + varcon[4] = 1; + varcon[5] = 1; + varcon[6] = 1; + varcon[7] = 1; + + //Set continuous variable bounds + bl[0] = 0; + bl[1] = 0; + bl[2] = 0; + bl[3] = 0; + bu[0] = 1000; + bu[1] = 1000; + bu[2] = 1000; + bu[3] = 1000; + + //Bounds for binary variables need not be provided + bl[4] = 0; + bl[5] = 0; + bl[6] = 0; + bl[7] = 0; + bu[4] = 1; + bu[5] = 1; + bu[6] = 1; + bu[7] = 1; + + //Set linear constraint, equality first + varcon[n] = 3; + varcon[n + 1] = 4; + varcon[n + 2] = 4; + varcon[n + 3] = 4; + varcon[n + 4] = 4; + + //Set Ax=d then Ax>=d + //( 1, 1, 1, 1, 0, 0, 0, 0) + //(-1, 0, 0, 0, 1, 0, 0, 0) + //( 0,-1, 0, 0, 0, 1, 0, 0) + //( 0, 0,-1, 0, 0, 0, 1, 0) + //( 0, 0, 0,-1, 0, 0, 0, 1) + a[0] = 1; + a[1] = -1; + a[5] = 1; + a[7] = -1; + a[10] = 1; + a[13] = -1; + a[15] = 1; + a[19] = -1; + a[21] = 1; + a[27] = 1; + a[33] = 1; + a[39] = 1; + d[0] = 1; + d[1] = 0; + d[2] = 0; + d[3] = 0; + d[4] = 0; + + //Set constraints supplied by CONFUN, equality first + varcon[n + nclin] = 3; + varcon[n + nclin + 1] = 4; + + liopts = iopts.length; + lopts = opts.length; + + //Initialize communication arrays + ifail = 0; + H02ZK h02zk = new H02ZK("Initialize = H02DAF", iopts, liopts, opts, lopts, ifail); + h02zk.eval(); + + + //Optimization parameters + maxit = 500; + acc = 0.000001; + + //Initial estimate (binary variables need not be given) + x[0] = 1; + x[1] = 1; + x[2] = 1; + x[3] = 1; + x[4] = 0; + x[5] = 0; + x[6] = 0; + x[7] = 0; + + //Portfolio parameters p and rho + iuser[0] = 3; + ruser[0] = 10; + + ifail = 0; + //Create objfun1, confun1 to pass to H02DA representing repsecitve subroutines + objfun objfun1 = new objfun(); + confun confun1 = new confun(); + H02DA h02da = new H02DA(n, nclin, ncnln, a, lda, d, ax, bl, bu, varcon, x, confun1, c, cjac, objfun1, + objgrd, maxit, acc, objmip, iopts, opts, iuser, ruser, ifail); + h02da.eval(); + + //Results + ifail = h02da.getIFAIL(); + if(ifail == 0){ + X04CA x04ca = new X04CA("G", "N", n, 1, x, n, "Final Esimate:", ifail); + x04ca.eval(); + + //Query the accuracy of the mixed integer QP Solver + ifail = -1; + H02ZL h02zl = new H02ZL("QP Accuracy", ivalue, accqp, cvalue, optype, iopts, opts, ifail); + h02zl.eval(); + + //Update values to print + accqp = h02zl.getRVALUE(); + objmip = h02da.getOBJMIP(); + ifail = h02zl.getIFAIL(); + if(ifail == 0){ + System.out.printf("Requested accuracy of QP subproblems\t%.4e\n", accqp); + } + System.out.printf("Optimised value:\t%.3f\n", objmip); + } + else{ + System.out.printf("h02daf returns ifail = %d\n", ifail); + } + } + + /** + * objfun class extending Abstract_H02DA_OBJFUN to represent objfun subroutine for passing to H02DA + */ + public static class objfun extends H02DA.Abstract_H02DA_OBJFUN{ + public void eval(){ + if(this.MODE == 0){ + //Objective value + this.OBJMIP = (this.X[0] * ((4 * this.X[0]) + (3 * this.X[1]) - this.X[2])) + + (this.X[1] * ((3 * this.X[0]) + (6 * this.X[1]) + this.X[2])) + + (this.X[2] * (this.X[1] - this.X[0] + (10 * this.X[2]))); + } + else{ + //Objective gradients for continous varaiables + this.OBJGRD[0] = (8 * this.X[0]) + (6 * this.X[1]) - (2 * this.X[2]); + this.OBJGRD[1] = (6 * this.X[0]) + (12 * this.X[1]) + (2 * this.X[2]); + this.OBJGRD[2] = (2 * (this.X[1] - this.X[0])) + (20 * this.X[2]); + this.OBJGRD[3] = 0; + } + } + } + + /** + * confun class extending Abstract_H02DA_CONFUN to represent confun subroutine for passing to H02DA + */ + public static class confun extends H02DA.Abstract_H02DA_CONFUN{ + public void eval(){ + if(this.MODE == 0){ + //Constraints + int p = this.IUSER[0]; + double rho = this.RUSER[0]; + + //Mean return rho: + this.C[0] = (8 * this.X[0]) + (9 * this.X[1]) + (12 * this.X[2]) + (7 * this.X[3]) - rho; + //Maximum of p assets in portfolio + this.C[1] = p - this.X[4] - this.X[5] - this.X[6] - this.X[7]; + } + else{ + //Jacobian + this.CJAC[0] = 8; + this.CJAC[2] = 9; + this.CJAC[4] = 12; + this.CJAC[6] = 7; + //c[2] does not include continuours varaibles which requries that their derivatives are zero + this.CJAC[1] = 0; + this.CJAC[3] = 0; + this.CJAC[5] = 0; + this.CJAC[7] = 0; + } + } + } +} diff --git a/simple_examples/source/int32/M01CCJE.java b/simple_examples/source/int32/M01CCJE.java new file mode 100644 index 0000000..fda5e2f --- /dev/null +++ b/simple_examples/source/int32/M01CCJE.java @@ -0,0 +1,42 @@ +import com.nag.routines.M01.M01CC; +import java.io.*; + +/** + * M01CC example program text. + */ +public class M01CCJE { + + public static void main(String[] args) throws Exception { + + String[] ch; + String order = "Reverse ASCII"; + int m1,m2,l1,l2; + int ifail = 0; + + BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); + + dataIn.readLine(); + m2 = Integer.parseInt(dataIn.readLine().trim().split(":+")[0].trim()); + ch = new String[m2]; + m1 = 1; + for (int i = m1-1; i < m2; ++i) { + ch[i] = dataIn.readLine(); + } + dataIn.close(); + l1 = 7; + l2 = 12; + + System.out.println(" M01CCJ Example Program Results"); + M01CC m01cc = new M01CC(ch, m1, m2, l1, l2, order, ifail); + m01cc.eval(); + ifail = m01cc.getIFAIL(); + System.out.println(); + System.out.printf(" Records sorted on columns %2d to %2d\n",l1,l2); + System.out.println(); + for (int i = m1-1; i < m2; ++i) { + System.out.println(" "+ch[i]); + } + + } + +} diff --git a/simple_examples/source/int32/S01BAJE.java b/simple_examples/source/int32/S01BAJE.java new file mode 100644 index 0000000..4bf2823 --- /dev/null +++ b/simple_examples/source/int32/S01BAJE.java @@ -0,0 +1,39 @@ +import com.nag.routines.S.S01BA; + +/** + * S01BAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S01BAJE{ + + /** + * S01BAJE main program + */ + public static void main(String[] args){ + double y; + int ifail; + double[] xVal; //data + + //store data + xVal = new double[6]; + xVal[0] = 2.5; + xVal[1] = 0.125; + xVal[2] = -0.906; + xVal[3] = 0.00129; + xVal[4] = -0.00000783; + xVal[5] = 0.000000001; + + System.out.println("S01BAJ Example Program Results"); + System.out.println(); + System.out.printf("\tX\t\tY\n"); + + for(double x : xVal){ + ifail = -1; + S01BA s01ba = new S01BA(x, ifail); + y = s01ba.eval(); + + System.out.printf("\t%.4e\t%.4e\n", x, y); + } + } +} diff --git a/simple_examples/source/int32/S10AAJE.java b/simple_examples/source/int32/S10AAJE.java new file mode 100644 index 0000000..2a0878a --- /dev/null +++ b/simple_examples/source/int32/S10AAJE.java @@ -0,0 +1,40 @@ +import com.nag.routines.S.S10AA; + +/** + * S10AAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S10AAJE{ + + /** + * S10AAJ example main program + */ + public static void main(String[] args){ + double y; + double[] xVal; + int ifail; + + //x values (can be read in from data file) + xVal = new double[4]; + xVal[0] = -20; + xVal[1] = -5.0; + xVal[2] = 0.5; + xVal[3] = 5.0; + + System.out.println("S10AAJ Example Program Results"); + + System.out.println(); + System.out.printf("\tX\t\tY"); + System.out.println(); + + for(double x : xVal){ + ifail = -1; + S10AA s10aa = new S10AA(x, ifail); + y = s10aa.eval(); + ifail = s10aa.getIFAIL(); + + System.out.printf("\t%.3e\t%.3e\n", x, y); + } + } +} diff --git a/simple_examples/source/int32/S10ABJE.java b/simple_examples/source/int32/S10ABJE.java new file mode 100644 index 0000000..dd84ab7 --- /dev/null +++ b/simple_examples/source/int32/S10ABJE.java @@ -0,0 +1,41 @@ +import com.nag.routines.S.S10AB; + +/** + * S10ABJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S10ABJE{ + + /** + * S10ABJ example main program + */ + public static void main(String[] args){ + double y; + double[] xVal; + int ifail; + + //x values (can be read in from data file) + xVal = new double[5]; + xVal[0] = -10; + xVal[1] = -0.5; + xVal[2] = 0; + xVal[3] = 0.5; + xVal[4] = 25.0; + + System.out.println("S10ABJ Example Program Results"); + + System.out.println(); + System.out.printf("\tX\t\tY"); + System.out.println(); + + for(double x : xVal){ + ifail = -1; + S10AB s10ab = new S10AB(x, ifail); + y = s10ab.eval(); + ifail = s10ab.getIFAIL(); + + System.out.printf("\t%.3e\t%.3e\n", x, y); + } + } +} diff --git a/simple_examples/source/int32/S10ACJE.java b/simple_examples/source/int32/S10ACJE.java new file mode 100644 index 0000000..cc0c04c --- /dev/null +++ b/simple_examples/source/int32/S10ACJE.java @@ -0,0 +1,41 @@ +import com.nag.routines.S.S10AC; + +/** + * S10ACJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S10ACJE{ + + /** + * S10ACJ example main program + */ + public static void main(String[] args){ + double y; + double[] xVal; + int ifail; + + //x values (can be read in from data file) + xVal = new double[5]; + xVal[0] = -10; + xVal[1] = -0.5; + xVal[2] = 0; + xVal[3] = 0.5; + xVal[4] = 25.0; + + System.out.println("S10ACJ Example Program Results"); + + System.out.println(); + System.out.printf("\tX\t\tY"); + System.out.println(); + + for(double x : xVal){ + ifail = -1; + S10AC s10ac = new S10AC(x, ifail); + y = s10ac.eval(); + ifail = s10ac.getIFAIL(); + + System.out.printf("\t%.3e\t%.3e\n", x, y); + } + } +} diff --git a/simple_examples/source/int32/S14ABJE.java b/simple_examples/source/int32/S14ABJE.java new file mode 100644 index 0000000..673a4b3 --- /dev/null +++ b/simple_examples/source/int32/S14ABJE.java @@ -0,0 +1,71 @@ +import com.nag.routines.S.S14AB; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * S14ABJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S14ABJE{ + + /** + * S14ABJ example main program + */ + public static void main(String[] args){ + double x, y; + int ifail; + + System.out.println("S14ABJ Example Program Results"); + + //Supply file path as argument + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + System.out.println(); + System.out.printf("\tX\t\tY"); + System.out.println(); + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //loop until break + while(true){ + line = reader.readLine(); + + //if finished looping through file break + if(line == null){ + break; + } + String[] sVal = line.split("\\s+"); + + x = Double.parseDouble(sVal[1]); + + ifail = -1; + S14AB s14ab = new S14AB(x, ifail); + y = s14ab.eval(); + //update ifail + ifail = s14ab.getIFAIL(); + + if(ifail < 0){ + break; + } + System.out.printf("\t%.3e\t%.3e\n", x, y); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} + diff --git a/simple_examples/source/int32/S14ACJE.java b/simple_examples/source/int32/S14ACJE.java new file mode 100644 index 0000000..e2fff05 --- /dev/null +++ b/simple_examples/source/int32/S14ACJE.java @@ -0,0 +1,68 @@ +import com.nag.routines.S.S14AC; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * S14ACJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S14ACJE{ + + /** + * S14ACJ example main program + */ + public static void main(String[] args){ + double f, x; + int ifail; + + System.out.println("S14ACJ Example Program Results"); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + System.out.println(); + System.out.printf("\tX\tpsi(X)-log(X)\n"); + System.out.println(); + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //Loop until break... + while(true){ + line = reader.readLine(); + if(line == null){ + break; + } + String[] sVal = line.split("\\s+"); + + x = Double.parseDouble(sVal[0]); + + ifail = -1; + S14AC s14ac = new S14AC(x, ifail); + f = s14ac.eval(); + ifail = s14ac.getIFAIL(); + + if(ifail < 0){ + break; + } + + System.out.printf("\t%.4f\t%.4f\n", x, f); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} diff --git a/simple_examples/source/int32/S14AFJE.java b/simple_examples/source/int32/S14AFJE.java new file mode 100644 index 0000000..9005cc1 --- /dev/null +++ b/simple_examples/source/int32/S14AFJE.java @@ -0,0 +1,80 @@ +import com.nag.routines.S.S14AF; +import com.nag.routines.Routine; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * S14AFJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class S14AFJE{ + + /** + * S14AFJ Example main program + */ + public static void main(String[] args){ + NAGComplex y, z; + int ifail, k; + + //Tell the wrapper the type of complex being used before calling a routine + Routine.setComplex(new NAGComplex()); + + y = new NAGComplex(); + z = new NAGComplex(); + + System.out.println("S14AFJ Example Program Results"); + + //Supply file path as terminal input + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); + + System.out.println(); + System.out.println("\tZ\t\tK\t(d^K/dz^K)psi(Z)"); + System.out.println(); + + //loop until break... + while(true){ + line = reader.readLine(); + + //end of file reached + if(line == null){ + break; + } + + String[] sVal = line.split("\\s+"); + z.setRe(Double.parseDouble(sVal[0])); + z.setIm(Double.parseDouble(sVal[1])); + k = Integer.parseInt(sVal[2]); + + ifail = -1; + S14AF s14af = new S14AF(z, k, ifail); + y = (NAGComplex) s14af.eval(); + ifail = s14af.getIFAIL(); + + //ifail < 0 => error + if(ifail < 0){ + break; + } + System.out.printf("\t(%.1f, %.1f)\t%d\t(%.4e, %.4e)\n", z.getRe(), z.getIm(), k, y.getRe(), y.getIm()); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} diff --git a/simple_examples/source/int32/S17DCJE.java b/simple_examples/source/int32/S17DCJE.java new file mode 100644 index 0000000..ba01290 --- /dev/null +++ b/simple_examples/source/int32/S17DCJE.java @@ -0,0 +1,69 @@ +import com.nag.routines.S.S17DC; +import com.nag.types.NAGComplex; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +public class S17DCJE{ + private static int n = 2; + + public static void main(String[] args){ + double fnu; + int ifail, nz = 0; + String scal; + NAGComplex z; + NAGComplex[] cwrk, cy; + + z = new NAGComplex(); + //initiate complex arrays like this to save looping through and doing it manually by looping through + cwrk = NAGComplex.createArray(n); + cy = NAGComplex.createArray(n); + + System.out.println("S17DCF Example Program Results"); + + //Supply file path as argument + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + System.out.println(); + System.out.printf("Calling with N = %d\n", n); + System.out.println(); + System.out.printf("FNU\tZ\t\t\tSCAL\tCY[0]\t\t\tCY[1]\t\t\tNZ"); + System.out.println(); + + while(true){ + line = reader.readLine(); + if(line == null){ + break; + } + String[] sVal = line.split("\\s+"); + fnu = Double.parseDouble(sVal[0]); + z.setRe(Double.parseDouble(sVal[1])); + z.setIm(Double.parseDouble(sVal[2])); + scal = sVal[3].substring(1,2); + + ifail = 0; + S17DC s17dc = new S17DC(fnu, z, n, scal, cy, nz, cwrk, ifail); + s17dc.eval(); + + System.out.printf("%.4f\t(%.4f, %.4f)\t%s\t(%.4f, %.4f)\t(%.4f, %.4f)\t%d\n", fnu, z.getRe(), z.getIm(), scal, cy[0].getRe(), cy[0].getIm(), cy[1].getRe(), cy[1].getIm(), nz); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + } +} + diff --git a/simple_examples/source/int32/S17DGJE.java b/simple_examples/source/int32/S17DGJE.java new file mode 100644 index 0000000..b93c9e0 --- /dev/null +++ b/simple_examples/source/int32/S17DGJE.java @@ -0,0 +1,61 @@ +import com.nag.routines.S.S17DG; +import com.nag.types.NAGComplex; +import java.io.*; +import java.util.regex.Matcher; +import java.util.regex.Pattern; + +/** + * S17DG example program text. + */ +public class S17DGJE { + + public static void main(String[] args) throws Exception { + String deriv,scal; + int ifail = 1; + NAGComplex z,ai; + int nz = -1; + z = new NAGComplex(); + ai = new NAGComplex(); + ai.setRe(Double.NaN); + ai.setIm(Double.NaN); + + System.out.println(" S17DGJ Example Program Results"); + BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); + + dataIn.readLine(); + System.out.println(); + System.out.println(" DERIV Z SCAL AI NZ"); + System.out.println(); + String line = dataIn.readLine(); + Pattern linePatt = Pattern.compile("\\s*'([A-Z]{1})'\\s+\\(\\s*([0-9\\.\\-]+)\\s*," + + "\\s*([0-9\\.\\-]+)\\s*\\)\\s+'([A-Z]{1})'\\s*"); + Matcher m; + S17DG s17dg = new S17DG(); + while (line != null) { + m = linePatt.matcher(line); + if (m.matches()) { + deriv = m.group(1); + z.setRe(Double.parseDouble(m.group(2))); + z.setIm(Double.parseDouble(m.group(3))); + scal = m.group(4); + ifail = 1;// SOFT AND SILENT FAILURE + s17dg.eval(deriv,z,scal,ai,nz,ifail); + if (s17dg.getIFAIL() == 0) { + System.out.printf(" %s (%8.4f,%8.4f) %s (%8.4f,%8.4f) %4d\n", + s17dg.getDERIV(), s17dg.getZ().getRe(), s17dg.getZ().getIm(), s17dg.getSCAL(), + s17dg.getAI().getRe(), s17dg.getAI().getIm(), s17dg.getNZ()); + } + else { + System.err.println("Something went wrong - S17DG returned IFAIL = "+s17dg.getIFAIL()); + System.exit(-1); + } + } + else { + System.out.println("Can't match:\n"+line); + } + line = dataIn.readLine(); + } + + } + +} diff --git a/simple_examples/source/int32/S30AAJE.java b/simple_examples/source/int32/S30AAJE.java new file mode 100644 index 0000000..7e01ffe --- /dev/null +++ b/simple_examples/source/int32/S30AAJE.java @@ -0,0 +1,109 @@ +import com.nag.routines.S.S30AA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * S30AAJ Example program text + * @author willa + * @since 27.1.0.0 + */ +public class S30AAJE{ + + /** + * S30AAJ main program + */ + public static void main(String[] args){ + double q = 0, r = 0, s = 0, sigma = 0; + int ifail, ldp, m = 0, n = 0; + String calput = ""; //placeholders + double[] p, t, x; + + //placeholders + t = new double[0]; + x = new double[0]; + + System.out.println("S30AAJ Example Program Results"); + + //Supply file path as arugment + if(args.length != 1){ + System.out.println("Please specify path to data file"); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + calput = sVal[0].substring(1,2); + + line = reader.readLine(); + sVal = line.split("\\s+"); + s = Double.parseDouble(sVal[0]); + sigma = Double.parseDouble(sVal[1]); + r = Double.parseDouble(sVal[2]); + q = Double.parseDouble(sVal[3]); + + line = reader.readLine(); + sVal = line.split("\\s+"); + m = Integer.parseInt(sVal[0]); + n = Integer.parseInt(sVal[1]); + + t = new double[n]; + x = new double[m]; + + for(int i = 0; i < m; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + x[i] = Double.parseDouble(sVal[0]); + } + for(int i = 0; i < n; i++){ + line = reader.readLine(); + sVal = line.split("\\s+"); + t[i] = Double.parseDouble(sVal[0]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + ldp = m; + p = new double[ldp * n]; + + ifail = 0; + S30AA s30aa = new S30AA(calput, m, n, x, s, t, sigma, r, q, p, ldp, ifail); + s30aa.eval(); + + System.out.println(); + System.out.println("Black-Scholes-Merton formula"); + + if(calput.toLowerCase().equals("c")){ + System.out.println("European Call : "); + } + else if(calput.toLowerCase().equals("p")){ + System.out.println("European Put : "); + } + + System.out.printf(" Spot =\t%.4f\n", s); + System.out.printf(" Volatility =\t%.4f\n", sigma); + System.out.printf(" Rate =\t%.4f\n", r); + System.out.printf(" Dividend =\t%.4f\n", q); + + System.out.println(); + System.out.printf(" Strike\tExpiry\tOption Price\n"); + for(int i = 0; i < m; i++){ + for(int j = 0; j < n; j++){ + System.out.printf(" %.4f\t%.4f\t%.4f\n", x[i], t[j], p[i + (j * 3)]); + } + } + } +} + diff --git a/simple_examples/source/int32/S30ACJE.java b/simple_examples/source/int32/S30ACJE.java new file mode 100644 index 0000000..8d994dc --- /dev/null +++ b/simple_examples/source/int32/S30ACJE.java @@ -0,0 +1,129 @@ +import java.io.BufferedReader; +import java.io.FileNotFoundException; +import java.io.FileReader; +import java.io.IOException; +import java.util.Arrays; + +import com.nag.routines.S.S30AC; + +/** + * S30AC example program text. + */ +public class S30ACJE { + + public static void main(String[] args) { + + int i, ifail, mode = 0, n = 0; + String calput; + + double[] k = null, p = null, r = null, s0 = null, sigma = null, t = null; + int[] ivalid = null; + + // Strings must be length expected by Fortran + calput = getBlankString(1); + + /* Header */ + System.out.println(" S30ACJ Example Program Results"); + + // Specify path to data file + if (args.length != 1) { + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try { + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); // skip header + + System.out.println(); + System.out.println(" SIGMA IVALID"); + System.out.println(); + + line = reader.readLine(); + String[] sVal = line.trim().split("\\s+"); + calput = sVal[0].replaceAll("\'", ""); + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + n = Integer.parseInt(sVal[0]); + mode = Integer.parseInt(sVal[1]); + + line = reader.readLine(); // skip empty line + + p = new double[n]; + k = new double[n]; + s0 = new double[n]; + t = new double[n]; + r = new double[n]; + sigma = new double[n]; + ivalid = new int[n]; + + // Read p, k, s0, t and r from data file + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + p[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + k[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + s0[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + t[i] = Double.parseDouble(sVal[i]); + } + + line = reader.readLine(); + sVal = line.trim().split("\\s+"); + for (i = 0; i < n; i++) { + r[i] = Double.parseDouble(sVal[i]); + } + + } catch (FileNotFoundException e) { + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } catch (IOException e) { + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + // Find the implied volatilities, sigma + ifail = 0; + S30AC s30ac = new S30AC(); + s30ac.eval(calput, n, p, k, s0, t, r, sigma, mode, ivalid, ifail); + + // Print solution + for (i = 0; i < n; i++) { + System.out.printf(" %12.3E%5d\n", sigma[i], ivalid[i]); + } + + } + + /** + * Returns a new String, filled with spaces to the specified length. + * + * @param len the required length of the String + * @return a blank String of the specified length + */ + public static String getBlankString(int len) { + + if (len > 0) { + char[] arr = new char[len]; + Arrays.fill(arr, ' '); + return new String(arr); + } + + return ""; + + } +} diff --git a/simple_examples/source/int32/X03AAJE.java b/simple_examples/source/int32/X03AAJE.java new file mode 100644 index 0000000..b03f1ab --- /dev/null +++ b/simple_examples/source/int32/X03AAJE.java @@ -0,0 +1,87 @@ +import com.nag.routines.X03.X03AA; +import java.io.BufferedReader; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +/** + * X03AAJ example program text. + * @author willa + * @since 27.1.0.0 + */ +public class X03AAJE{ + + /** + * X03AAJ example main program. + */ + public static void main(String[] args){ + int n = 3; + double c1 = 0, c2 = 0, d1 = 0, d2 = 0; //placeholder + int ifail, isizea, isizeb, istepa, istepb; + boolean sw; + double[] a, b; + + a = new double[n * n]; + b = new double[n]; + + System.out.println("X03AAF Example Program Results"); + System.out.println(); + + if(args.length != 1){ + System.err.println("Please specify the path to the data file."); + System.exit(-1); + } + + String filename = args[0]; + try{ + BufferedReader reader = new BufferedReader(new FileReader(filename)); + String line = reader.readLine(); //skip header + + //stored column wise + //a = (-2, -3, 7) + // ( 2, -5, 3) + // (-9, 1, 0) + for(int i = 0; i < n; i++){ + line = reader.readLine(); + String[] sVal = line.split("\\s+"); + for(int j = 0; j < n; j++){ + a[i + (j * n)] = Double.parseDouble(sVal[j + 1]); + } + } + + line = reader.readLine(); + for(int i = 0; i < n; i++){ + String[] sVal = line.split("\\s+"); + b[i] = Double.parseDouble(sVal[i + 1]); + } + } + catch(FileNotFoundException e){ + System.err.println("***FATAL: Can't find " + filename); + System.exit(-2); + } + catch(IOException e){ + System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); + } + + + c1 = 1; + c2 = 0; + isizea = n; + isizeb = n; + istepa = 1; + istepb = 1; + sw = true; + + ifail = 0; + X03AA x03aa = new X03AA(a , isizea, b, isizeb, n, istepa, istepb, c1, c2, d1, d2, sw, ifail); + x03aa.eval(); + + //update + c1 = x03aa.getC1(); + c2 = x03aa.getC2(); + d1 = x03aa.getD1(); + d2 = x03aa.getD2(); + + System.out.printf("D1 = %.1f D2 = %.1f\n", d1, d2); + } +} diff --git a/simple_examples/source/int32/X04CBJE.java b/simple_examples/source/int32/X04CBJE.java new file mode 100644 index 0000000..fa77c3a --- /dev/null +++ b/simple_examples/source/int32/X04CBJE.java @@ -0,0 +1,53 @@ +import com.nag.routines.X04.X04CB; + +/** + * X04CBJ example program text + * @author willa + * @since 27.1.0.0 + */ +public class X04CBJE{ + + /** + * X04CBJ example main program + */ + public static void main(String[] args){ + int nmax = 5, lda = nmax, ifail, indent, ncols; + double[] a; + + a = new double[lda * nmax]; + + String[] clabs = {"Un ", "Deux ", "Trois ", "Quatre ", "Cinq "}; + String[] rlabs = {"Uno ", "Due ", "Tre ", "Quattro", "Cinque "}; + + System.out.println("X04CBJ Example Program Results"); + System.out.println(); + + //generate an array of data + for(int i = 0; i < nmax; i++){ + for(int j = 0; j < lda; j++){ + a[(i * lda) + j] = (double) ((10 * (j + 1)) + i + 1); + } + } + + ncols = 80; + indent = 0; + + //Print 3 by nmax rectangular matrix with default format and integer row and column labels + ifail = 0; + X04CB x04cb = new X04CB("General", " ", 3, nmax, a, lda, " ", "Example 1", "Integer", rlabs, "Integer", + clabs, ncols, indent, ifail); + x04cb.eval(); + System.out.println(); + + //Print nmax by namx upper triangular matrix with user-supplied format and row and column labels + ifail = 0; + x04cb.eval("Upper", "Non-unit", nmax, nmax, a, lda, "F8.2", "Example 2:", "Character", rlabs, "Character", + clabs, ncols, indent, ifail); + System.out.println(); + + //Print 3 by nmax lower triangular matrix in MATLAB format + //Row and column labelling is ignored + ifail = 0; + x04cb.eval("Lower", "Non-unit", 3, nmax, a, lda, "MATLABF8.2", "A", " ", rlabs, " ", clabs, ncols, indent, ifail); + } +} diff --git a/simple_examples/source/int32/X05ABJE.java b/simple_examples/source/int32/X05ABJE.java new file mode 100644 index 0000000..acb3804 --- /dev/null +++ b/simple_examples/source/int32/X05ABJE.java @@ -0,0 +1,25 @@ +import com.nag.routines.X05.X05AB; + +/** + * X05AB example program text. + */ +public class X05ABJE { + + public static void main(String[] args) { + + int[] itime = new int[7]; + + itime[0] = 1789; + itime[1] = 7; + itime[2] = 14; + itime[3] = 13; + itime[4] = 11; + itime[5] = 48; + itime[6] = 320; + + System.out.println(" X05ABJ Example Program Results"); + System.out.println((new X05AB(itime)).eval()); + + } + +} diff --git a/simple_examples/source/int64/A00AAJE.java b/simple_examples/source/int64/A00AAJE.java new file mode 100644 index 0000000..490c163 --- /dev/null +++ b/simple_examples/source/int64/A00AAJE.java @@ -0,0 +1,14 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.A00.A00AA; +import com.nag.routines.Routine; + +public class A00AAJE { + + public static void main (String[] args) throws NAGBadIntegerException { + Routine.init(); + A00AA a00aa = new A00AA(); + System.out.println(" A00AAJ Example Program Results\n"); + a00aa.eval(); + } + +} diff --git a/simple_examples/source/int64/A00ADJE.java b/simple_examples/source/int64/A00ADJE.java new file mode 100644 index 0000000..8250321 --- /dev/null +++ b/simple_examples/source/int64/A00ADJE.java @@ -0,0 +1,113 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.A00.A00AD; +import com.nag.routines.Routine; +import java.util.Arrays; + +public class A00ADJE { + + /* Parameters */ + public static final int MSGLEN = 15; + + /** A00ADJ Example Program */ + public static void main (String[] args) throws NAGBadIntegerException { + /* Local Scalars */ + int i; + long mkmaj, mkmin; + boolean licval; + String fcomp = getBlankString(80), hdware = getBlankString(80), + impl = getBlankString(80), opsys = getBlankString(80), + pcode = getBlankString(80), prec = getBlankString(80), + vend = getBlankString(80); + /* Local Arrays */ + int[] itime = new int[7]; + String[] msg = new String[MSGLEN]; + + // Instantiate arguments + mkmaj = 0; + mkmin = 0; + licval = false; + // Strings must be length expected by Fortran + fcomp = getBlankString(80); + hdware = getBlankString(80); + impl = getBlankString(80); + opsys = getBlankString(80); + pcode = getBlankString(80); + prec = getBlankString(80); + vend = getBlankString(80); + for (i = 0; i < MSGLEN; i++) msg[i] = getBlankString(102); + + Routine.init(); + System.out.println(" A00ADJ Example Program Results\n"); + + A00AD a00ad = new A00AD(); + a00ad.eval(impl, prec, pcode, mkmaj, mkmin, hdware, opsys, fcomp, vend, licval); + impl = a00ad.getIMPL(); + prec = a00ad.getPREC(); + pcode = a00ad.getPCODE(); + mkmaj = a00ad.getMKMAJ(); + mkmin = a00ad.getMKMIN(); + hdware = a00ad.getHDWARE(); + opsys = a00ad.getOPSYS(); + fcomp = a00ad.getFCOMP(); + vend = a00ad.getVEND(); + licval = a00ad.getLICVAL(); + + /* Print implementation details */ + + System.out.println("*** Start of NAG Library implementation details ***"); + System.out.println(); + System.out.println("Implementation title: " + impl.trim()); + System.out.println(" Precision: " + prec.trim()); + System.out.println(" Product code: " + pcode.trim()); + + if (mkmin < 10) { + System.out.printf(" Mark: %2d.%1d\n", mkmaj, mkmin); + } + else { + System.out.printf(" Mark: %2d.%2d\n", mkmaj, mkmin); + } + + if (vend.trim().equals("(self-contained)")) { + System.out.println(" Vendor Library: None"); + } + else { + System.out.println(" Vendor Library: " + vend.trim()); + } + + System.out.println("Applicable to:"); + System.out.println(" hardware: " + hdware.trim()); + System.out.println(" operating system: " + opsys.trim()); + System.out.println(" Fortran compiler: " + fcomp.trim()); + System.out.println("and compatible systems."); + + if (!licval) { + System.out.println(" Licence query: Unsuccessful"); + } + else { + System.out.println(" Licence query: Successful"); + } + + System.out.println(); + System.out.println("*** End of NAG Library implementation details ***"); + + } + + /** + * Returns a new String, filled with spaces to the specified length + * + * @param len the required length of the String + * @returns a String of spaces of the specified length + */ + public static String getBlankString(int len) { + + if (len > 0) { + char[] arr = new char[len]; + Arrays.fill(arr, ' '); + return new String(arr); + } + + return ""; + + } + +} diff --git a/simple_examples/source/int64/C05AYJE.java b/simple_examples/source/int64/C05AYJE.java new file mode 100644 index 0000000..a3bd5f1 --- /dev/null +++ b/simple_examples/source/int64/C05AYJE.java @@ -0,0 +1,45 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.C05.C05AY; +import com.nag.routines.Routine; + + +public class C05AYJE { + + public static void main(String[] args) throws NAGBadIntegerException { + + C05AY c05ay = new C05AY(); + OBJFUN f = new OBJFUN(); + double a = 0.0, b = 1.0, eps = 1.0e-5, eta = 0.0, x = 0.0; + long ifail = 0; + long[] iuser = new long[1]; + double[] ruser = new double[1]; + + System.out.println("C05AYJ Example Program Results"); + System.out.println(); + + Routine.init(); + c05ay.eval(a, b, eps, eta, f, x, iuser, ruser, ifail); + x = c05ay.getX(); + + switch ((int)ifail) { + case 0: + System.out.printf("Zero at x = %12.5f\n", x); + break; + case 2: case 3: + System.out.printf("Final point = %12.5f\n", x); + break; + default: + System.out.println("Unexpected ifail = " + ifail); + } + + } + + private static class OBJFUN extends C05AY.Abstract_C05AY_F { + + public double eval() { + return Math.exp(-X) - X; + } + + } + +} diff --git a/simple_examples/source/int64/C05AZJE.java b/simple_examples/source/int64/C05AZJE.java new file mode 100644 index 0000000..bec1b03 --- /dev/null +++ b/simple_examples/source/int64/C05AZJE.java @@ -0,0 +1,65 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.C05.C05AZ; +import com.nag.routines.Routine; +import java.util.logging.Level; +import java.util.logging.Logger; + +public class C05AZJE { + + public static void main (String[] args)throws NAGBadIntegerException{ + double tolx = 0.00001, x = 0.0, y = 1.0, fx; + long ir = 0, ind = 1, ifail = -1; + double[] c = new double[17]; + boolean keepOn = true; + + Routine.init(); + + C05AZ c05az = new C05AZ(); + fx = fun(x); + int ite = 0; + + System.out.println(" C05AZJ Example Program Results\n"); + System.out.println(" Iterations\n"); + while (keepOn) { + ++ite; + + c05az.eval(x,y,fx,tolx,ir,c,ind,ifail); + + x = c05az.getX(); + y = c05az.getY(); + tolx = c05az.getTOLX(); + ir = c05az.getIR(); + ind = c05az.getIND(); + ifail = c05az.getIFAIL(); + + if(ind == 0){ + keepOn = false; + } + else{ + fx = fun(x); + System.out.printf(" X = %7.5f FX = %11.4E IND = %1d\n", x, fx, ind); + } + } + + + + switch ((int)ifail) { + case 0: + System.out.println("\n Solution\n"); + System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); + break; + case 4: + case 5: + System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); + break; + default: + System.out.printf("Unexpected error ifail=%d\n",ifail); + } + } + + private static double fun(double x) { + double res = (Math.expm1(-x) + 1) - x; + return res; + } + +} diff --git a/simple_examples/source/int64/C05MBJE.java b/simple_examples/source/int64/C05MBJE.java new file mode 100644 index 0000000..08dd454 --- /dev/null +++ b/simple_examples/source/int64/C05MBJE.java @@ -0,0 +1,104 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.Routine; +import com.nag.routines.C05.C05MB; +import com.nag.routines.F06.DNRM2; +import com.nag.routines.X02.X02AJ; + +/** + * C05MBJ Example Program Text + * @author joed + * @since 27.0 + */ + /* ** There have been at least 200*(n+1) calls to fcn. + ** Consider restarting the calculation from the point held in x. + ** ABNORMAL EXIT from NAG Library routine + ** NAG soft failure - control returned +*/ +public class C05MBJE { + + private static final int n = 4; + + private static class FCN extends C05MB.Abstract_C05MB_FCN { + + public void eval() { + + FVEC[0] = Math.cos(X[2]) - X[0]; + FVEC[1] = Math.sqrt(1.0 - Math.pow(X[3],2)) - X[1]; + FVEC[2] = Math.sin(X[0]) - X[2]; + FVEC[3] = Math.pow(X[1], 2) - X[3]; + + // Set iflag negative to terminate execution for any reason + IFLAG = 0; + + return; + + } + + } + + /** + * C05MBJ Example Main Program + */ + public static void main(String[] args) throws NAGBadIntegerException { + + C05MB c05mb = new C05MB(); + DNRM2 dnrm2 = new DNRM2(); + X02AJ x02aj = new X02AJ(); + FCN fcn = new FCN(); + long cpuser; + double atol, cndtol, fnorm, machpr, rtol; + long astart, ifail, m; + int i; + double[] fvec, x; + double[] ruser = new double[1]; + long[] iuser = new long[1]; + + System.out.println("C05MBJ Example Program Results\n"); + + // Initialise NAG for Java + Routine.init(); + + // Get machine precision from X02AJ + machpr = (new X02AJ()).eval(); + + fvec = new double[n]; + x = new double[n]; + + // The following starting values provide a rough solution + x = new double[]{2.0, 0.5, 2.0, 0.5}; + + m = 2; + atol = Math.sqrt(machpr); + rtol = Math.sqrt(machpr); + cndtol = 0.0; + astart = 0; + cpuser = 0; + + ifail = -1; + c05mb.eval(fcn, n, x, fvec, atol, rtol, m, cndtol, astart, iuser, ruser, + cpuser, ifail); + ifail = c05mb.getIFAIL(); + + if (ifail==0 || ifail==8 || ifail==9) { + if (ifail==0) { + // The NAG name equivalent of dnrm2 is f06ej + fnorm = dnrm2.eval(n, fvec, 1); + System.out.println(); + System.out.printf("Final 2-norm of the residuals = %12.4e\n", fnorm); + System.out.println(); + System.out.println("Final approximate solution"); + } + else { + System.out.println(); + System.out.println("Approximate solution"); + } + System.out.println(); + for (i = 1; i <= n; i++) { + System.out.printf("%12.4f", x[i-1]); + } + System.out.printf("\n"); + } + + } + +} diff --git a/simple_examples/source/int64/C05QBJE.java b/simple_examples/source/int64/C05QBJE.java new file mode 100644 index 0000000..d7a6435 --- /dev/null +++ b/simple_examples/source/int64/C05QBJE.java @@ -0,0 +1,178 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.C05.C05QB; +import com.nag.routines.F06.DNRM2; +import com.nag.routines.Routine; +import com.nag.routines.X02.X02AJ; + +/** + * + * @author ludovic + */ +public class C05QBJE { + + /** + * @param args the command line arguments + */ + public static void main(String[] args) throws NAGBadIntegerException { + try { + Routine.init(); + + C05QB c05qb = new C05QB(); + + System.out.println(" C05QBJ Example Program Results"); + + int n = 9, ifail = -1; + + double xtol, fnorm; + + long[] IUSER = new long[1]; + double[] fvec = new double[n]; + double[] x = new double[n]; + double[] RUSER = new double[1]; + + + FCN fcn = new FCN(); + + for (int i = 0; i < n; ++i) { + x[i] = -1.0; + } + + xtol = Math.sqrt((new X02AJ()).eval()); + + c05qb.eval(fcn, n, x, fvec, xtol, IUSER, RUSER, ifail); + + ifail = (int)c05qb.getIFAIL(); + + switch (ifail) { + case (0): + fnorm = (new DNRM2(n, fvec, 1)).eval(); + System.out.println(); + System.out.printf(" Final 2-norm of the residuals = %11.4E\n", fnorm); + System.out.println(); + System.out.println(" Final approximate solution"); + int count = 0; + for (int i = 0; i < n; ++i) { + System.out.printf(" %12.4f", x[i]); + ++count; + if(count == 3){ + System.out.println(); + count = 0; + } + } + break; + case (2): + case (3): + case (4): + System.out.println("Approximate solution"); + count = 0; + for (int i = 0; i < n; ++i) { + System.out.printf(" %12.4f", x[i]); + ++count; + if(count == 3){ + System.out.println(); + count = 0; + } + } + + break; + } + + } catch (NAGBadIntegerException ex) { + System.err.println("Something went wrong!\n" + ex.getMessage()); + } + + + } + + public static class FCN implements C05QB.C05QB_FCN { + + private long N, IFLAG; + private double[] X, FVEC, RUSER; + private long[] IUSER; + + //@Override + public void setN(long N) { + this.N = N; + } + + //@Override + public long getN() { + return N; + } + + //@Override + public void setX(double[] X) { + this.X = X; + } + + //@Override + public double[] getX() { + return X; + } + + //@Override + public void setFVEC(double[] FVEC) { + this.FVEC = FVEC; + } + + //@Override + public double[] getFVEC() { + return FVEC; + } + + //@Override + public void setIUSER(long[] IUSER) { + this.IUSER = IUSER; + } + + //@Override + public long[] getIUSER() { + return IUSER; + } + + //@Override + public void setRUSER(double[] RUSER) { + this.RUSER = RUSER; + } + + //@Override + public double[] getRUSER() { + return RUSER; + } + + //@Override + public void setIFLAG(long IFLAG) { + this.IFLAG = IFLAG; + } + + //@Override + public long getIFLAG() { + return IFLAG; + } + + //@Override + public void eval(long N, double[] X, double[] FVEC, long[] IUSER, double[] RUSER, long IFLAG) { + /* + * fvec(1:n) = (3.0_nag_wp-2.0_nag_wp*x(1:n))*x(1:n) + 1.0_nag_wp + * fvec(2:n) = fvec(2:n) - x(1:(n-1)) + * fvec(1:(n-1)) = fvec(1:(n-1)) - 2.0_nag_wp*x(2:n) + */ + for (int i = 0; i < N; ++i) { + FVEC[i] = (3.0 - 2.0 * X[i]) * X[i] + 1.0; + /*if (i >= 1) { + FVEC[i] = FVEC[i] - X[i - 1]; + } + if (i < N - 1) { + FVEC[i] = FVEC[i] - 2.0 * X[i + 1]; + }*/ + } + for(int i=1;i Math.max(epsabs,epsrel*Math.abs(result))) { + System.out.println("Warning - requested accuracy may not have been achieved"); + } + + } + + + public static class D01BDJE_FUN implements D01BD.D01BD_F { + + private double x; + + public double eval(double x) { + return (x * x * Math.sin(10.0 * Math.PI * x)); + } + + public double getX() { + return x; + } + + public void setX(double d) { + x = d; + } + + + } + +} diff --git a/simple_examples/source/int64/D02NEJE.java b/simple_examples/source/int64/D02NEJE.java new file mode 100644 index 0000000..b32ae64 --- /dev/null +++ b/simple_examples/source/int64/D02NEJE.java @@ -0,0 +1,393 @@ +import java.util.Arrays; + +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.Routine; +import com.nag.routines.D02.D02MC; +import com.nag.routines.D02.D02MW; +import com.nag.routines.D02.D02NE; +import com.nag.routines.D02.D02NEZ; +import com.nag.routines.D02.D02NP; + + +/** + * @author joed + */ +public class D02NEJE { + + public static final double ALPHA = 0.04; + public static final double BETA = 1.0E4; + public static final double GAMMA = 3.0E7; + public static final int ML = 1; + public static final int MU = 2; + public static final int NEQ1 = 3; + public static final int NEQ2 = 1; + + public static JAC1 jac1 = new JAC1(); + public static JAC2 jac2 = new JAC2(); + public static RES1 res1 = new RES1(); + public static RES2 res2 = new RES2(); + + public static void main(String[] args) throws NAGBadIntegerException { + + // Initialise wrappers + Routine.init(); + + System.out.println(" D02NEJ Example Program Results"); + + ex1(); + ex2(); + + } + + private static void ex1() { + D02MC d02mc = new D02MC(); + D02MW d02mw = new D02MW(); + D02NE d02ne = new D02NE(); + D02NP d02np = new D02NP(); + double h0, hmax, t, tout; + long ifail, itask, maxord, ijac, itol, licom, neq, lcom; + String jceval; // length 8 + double[] atol, com, rtol, y, ydot, ruser; + long[] icom, iuser; + + ruser = new double[1]; + iuser = new long[3]; + + System.out.println(); + System.out.println(" D02NEF Example 1"); + System.out.println(); + + maxord = 5; + + neq = NEQ1; + lcom = 40 + (maxord + 4) * neq + (2 * ML + MU + 1) * neq + + 2 * (neq / (ML + MU + 1) + 1); + licom = 50 + neq; + + atol = new double[(int)neq]; + com = new double[(int)lcom]; + rtol = new double[(int)neq]; + y = new double[(int)neq]; + ydot = new double[(int)neq]; + icom = new long[(int)licom]; + + ijac = 1; + itol = 1; + Arrays.fill(rtol, 1.0E-3); + Arrays.fill(atol, 1.0E-6); + Arrays.fill(ydot, 0.0); + + // String length = 8 + jceval = (ijac == 1) ? "Analytic" : "Numeric "; + + // Set initial values + y[0] = 1.0; + y[1] = 0.0; + y[2] = 0.0; + + // Initialize the problem, specifying that the Jacobian is to be + // evaluated analytically using the provided routine jac. + hmax = 0.0; + h0 = 0.0; + t = 0.0; + tout = 0.02; + ifail = 0; + d02mw.eval( + neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail + ); + ifail = d02mw.getIFAIL(); + + // Specify that the Jacobian is banded. + ifail = 0; + d02np.eval(neq, ML, MU, icom, licom, ifail); + ifail = d02np.getIFAIL(); + + // Use the iuser array to pass the band dimensions through to jac. + // An alternative would be to hard code values for ml and mu in jac. + iuser[0] = ML; + iuser[1] = MU; + iuser[2] = ijac; + + System.out.printf(" t "); + for (int i = 1; i <= neq; i++) { + System.out.printf(" Y(%1d) ", i); + } + System.out.println(); + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + itask = 0; + + // Obtain the solution at 5 equally spaced values of T. + for (int j = 0; j < 5; j++) { + ifail = -1; + d02ne.eval( + neq, t, tout, y, ydot, rtol, atol, itask, res1, jac1, icom, + com, lcom, iuser, ruser, ifail + ); + itask = d02ne.getITASK(); + ifail = d02ne.getIFAIL(); + t = d02ne.getT(); + + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + if (ifail != 0) { + System.out.printf( + " ** D02NEF returned with IFAIL = %5d\n", ifail + ); + break; + } + + tout += 0.02; + d02mc.eval(icom); + + } + + System.out.println(); + System.out.printf( + " The integrator completed task, ITASK = %4d\n", itask + ); + + } + + private static void ex2() { + D02MC d02mc = new D02MC(); + D02MW d02mw = new D02MW(); + D02NE d02ne = new D02NE(); + double h0, hmax, t, tout; + long ifail, ijac, itask, itol, lcom, licom, maxord, neq; + String jceval; // length 8 + double[] atol, com, rtol, y, ydot, ruser; + long[] icom, iuser; + + ruser = new double[1]; + iuser = new long[1]; + + System.out.println(); + System.out.println(" D02NEF Example 2"); + System.out.println(); + + maxord = 5; + neq = NEQ2; + lcom = 40 + (maxord + 4) * neq + neq * neq; + licom = 50 + neq; + + atol = new double[(int)neq]; + com = new double[(int)lcom]; + rtol = new double[(int)neq]; + y = new double[(int)neq]; + ydot = new double[(int)neq]; + icom = new long[(int)licom]; + + ijac = 1; + itol = 1; + rtol[0] = 0.0; + atol[0] = 1.0E-8; + ydot[0] = 0.0; + + // String length = 8 + jceval = (ijac == 1) ? "Analytic" : "Numeric "; + + // Initialize the problem, specifying that the Jacobian is to be + // evaluated analytically using the provided routine jac. + y[0] = 2.0; + hmax = 0.0; + h0 = 0.0; + t = 0.0; + tout = 0.2; + + ifail = 0; + d02mw.eval( + neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail + ); + ifail = d02mw.getIFAIL(); + + // Use the iuser array to pass whether numerical or analytic Jacobian + // is to be used. + iuser[0] = ijac; + + System.out.printf(" t "); + for (int i = 1; i <= neq; i++) { + System.out.printf(" y(%1d) ", i); + } + System.out.println(); + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + itask = 0; + + for (int j = 0; j < 5; j++) { + ifail = -1; + d02ne.eval( + neq, t, tout, y, ydot, rtol, atol, itask, res2, jac2, icom, + com, lcom, iuser, ruser, ifail + ); + itask = d02ne.getITASK(); + ifail = d02ne.getIFAIL(); + t = d02ne.getT(); + + System.out.printf(" %8.4f ", t); + for (int i = 0; i < neq; i++) { + System.out.printf("%12.6f", y[i]); + } + System.out.println(); + + if (ifail != 0) { + System.out.printf( + " ** D02NEF returned with IFAIL = %5d\n", ifail + ); + break; + } + + tout += 0.2; + d02mc.eval(icom); + + } + + System.out.println(); + System.out.printf( + " The integrator completed task, ITASK = %4d\n", itask + ); + + } + + /** + * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based + * Java index. + * + * Fortran array definition: + * a(dimX, *) + * + * Conversion: + * a(x, y) --> A[result] + */ + private static long getIdx(long x, long y, long dimX) { + return ((y-1) * dimX) + (x-1); + } + + public static class RES1 extends D02NE.Abstract_D02NE_RES { + + public void eval() { + + this.R[0] = -(ALPHA * this.Y[0]) + (BETA * this.Y[1] * this.Y[2]) + - this.YDOT[0]; + this.R[1] = (ALPHA * this.Y[0]) - (BETA * this.Y[1] * this.Y[2]) + - (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[1]; + this.R[2] = (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[2]; + + } + + } + + public static class JAC1 extends D02NE.Abstract_D02NE_JAC { + + private double[] myjac1( + long neq, long ml, long mu, double t, double[] y, double[] ydot, + double[] pd, double cj + ) { + + long md, ms, pd_dim1; + + pd_dim1 = (2 * ml) + mu + 1; + + // Main diagonal pdfull(i,i), i=1, neq + md = mu + ml + 1; + pd[(int)getIdx(md, 1, pd_dim1)] = -ALPHA - cj; + pd[(int)getIdx(md, 2, pd_dim1)] = (-BETA * y[2]) - (2.0 * GAMMA * y[1]) + - cj; + pd[(int)getIdx(md, 3, pd_dim1)] = -cj; + + // 1 subdiagonal pdfull(i-1,i), i=2, neq + ms = md + 1; + pd[(int)getIdx(ms, 1, pd_dim1)] = ALPHA; + pd[(int)getIdx(ms, 2, pd_dim1)] = 2.0 * GAMMA * y[1]; + + // First superdiagonal pdfull(i-1,i), i=2, neq + ms = md - 1; + pd[(int)getIdx(ms, 2, pd_dim1)] = BETA * y[2]; + pd[(int)getIdx(ms, 3, pd_dim1)] = -BETA * y[1]; + + // Second superdiagonal pdfull(i-2,i), i=3, neq + ms = md - 2; + pd[(int)getIdx(ms, 3, pd_dim1)] = BETA * y[1]; + + return pd; + + } + + public void eval() { + D02NEZ d02nez = new D02NEZ(); + long ijac, ml, mu; + + ml = this.IUSER[0]; + mu = this.IUSER[1]; + ijac = this.IUSER[2]; + + if (ijac == 1) { + myjac1( + this.NEQ, ml, mu, this.T, this.Y, this.YDOT, this.PD, + this.CJ + ); + } + else { + d02nez.eval( + this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, + this.IUSER, this.RUSER + ); + } + + } + + } + + public static class RES2 extends D02NE.Abstract_D02NE_RES { + + public void eval() { + this.R[0] = 4.0 - Math.pow(this.Y[0], 2.0) + + (this.T * 0.1E0 * Math.exp(this.Y[0])); + } + + } + + public static class JAC2 extends D02NE.Abstract_D02NE_JAC { + + private void myjac2( + long neq, double t, double[] y, double[] ydot, double[] pd, + double cj + ) { + + pd[0] = -(2.0 * y[0]) + (0.1E0 * t * y[0] * Math.exp(y[0])); + + } + + public void eval() { + D02NEZ d02nez = new D02NEZ(); + long ijac; + + ijac = this.IUSER[0]; + + if (ijac == 1) { + myjac2(this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ); + } + else { + d02nez.eval( + this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, + this.IUSER, this.RUSER + ); + } + + } + + } + +} diff --git a/simple_examples/source/int64/DTFSMJE.java b/simple_examples/source/int64/DTFSMJE.java new file mode 100644 index 0000000..d1feabb --- /dev/null +++ b/simple_examples/source/int64/DTFSMJE.java @@ -0,0 +1,61 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.F01.DTRTTF; +import com.nag.routines.F06.DTFSM; +import com.nag.routines.X04.X04CA; +import com.nag.routines.Routine; + +/** + * Adapted from f06wbfe.f90 + * + * @author joed + * + */ +public class DTFSMJE { + + public static void main(String[] args) throws NAGBadIntegerException { + + double alpha = 4.21; + long ifail = 0, info = 0, m = 6, n = 4; + String side = "L", trans = "N", transr = "N", uplo = "L"; + + // Init NAG Java + DTFSM dtfsm = new DTFSM(); + DTRTTF dtrttf = new DTRTTF(); + X04CA x04ca = new X04CA(); + Routine.init(); + + System.out.println(" DTFSMJ Example Program Results\n"); + + // Set lower triangle of matrix A + double[] a = new double[(int)(m*m)]; + for (int i=0; i=i) ? j+1 : 0; + } + } + + // Set matrix B + double[] b = new double[] { + 3.22, 1.64, 1.87, 5.20, 1.83, -1.10, + 1.37, 1.80, 2.87, -2.99, -2.71, -0.63, + 2.31, 0.38, 2.02, -0.91, -2.81, -0.50, + 0.29, -1.52, -0.80, -3.87, -1.13, 0.81 + }; + + // Convert A to rectangular full packed storage in ar + double[] ar = new double[((int)(m*(m+1)))/2]; + info = 0; + dtrttf.eval(transr, uplo, m, a, m, ar, info); + info = dtrttf.getINFO(); + + // Perform the matrix-matrix operation + dtfsm.eval(transr, side, uplo, trans, "N", m, n, alpha, ar, b, m); + + // Print result + ifail = 0; + x04ca.eval("General", " ", m, n, b, m, "The Solution", ifail); + ifail = x04ca.getIFAIL(); + + } + +} diff --git a/simple_examples/source/int64/E01DAJE.java b/simple_examples/source/int64/E01DAJE.java new file mode 100644 index 0000000..89a89e4 --- /dev/null +++ b/simple_examples/source/int64/E01DAJE.java @@ -0,0 +1,177 @@ +/* + * E01DA Example Program - NAG Copyright 2016 + */ + import com.nag.exceptions.NAGBadIntegerException; + import com.nag.routines.E01.E01DA; + import com.nag.routines.E02.E02DF; + import com.nag.routines.Routine; + +public class E01DAJE { + + public static void main (String[] args)throws NAGBadIntegerException { + Routine.init(); + + int mx = 7, my = 6, ifail = -1; + double[] x = new double[mx]; + double[] y = new double[my]; + double[] f = new double[mx*my]; + double[] lamda = new double[mx+4]; + double[] mu = new double[my+4]; + double[] c = new double[mx*my]; + double[] wrk = new double[(mx+6)*(my+6)]; + + int nx = 6, ny = 6, px = 0, py = 0; + double xlo = 1.0, xhi = 2.0; + double ylo = 0.0, yhi = 1.0; + + E01DA e01da = new E01DA(); + + // Input X, Y and function values on X-Y grid + x[0] = 1.00; + x[1] = 1.10; + x[2] = 1.30; + x[3] = 1.50; + x[4] = 1.60; + x[5] = 1.80; + x[6] = 2.00; + + y[0] = 0.00; + y[1] = 0.10; + y[2] = 0.40; + y[3] = 0.70; + y[4] = 0.90; + y[5] = 1.00; + + // On entry: F[my*(q-1)+r-1] must contain f(q,r), for q=1,2,...,mx + // and r=1,2,...,my. + f[0] = 1.00; + f[1] = 1.10; + f[2] = 1.40; + f[3] = 1.70; + f[4] = 1.90; + f[5] = 2.00; + f[6] = 1.21; + f[7] = 1.31; + f[8] = 1.61; + f[9] = 1.91; + f[10] = 2.11; + f[11] = 2.21; + f[12] = 1.69; + f[13] = 1.79; + f[14] = 2.09; + f[15] = 2.39; + f[16] = 2.59; + f[17] = 2.69; + f[18] = 2.25; + f[19] = 2.35; + f[20] = 2.65; + f[21] = 2.95; + f[22] = 3.15; + f[23] = 3.25; + f[24] = 2.56; + f[25] = 2.66; + f[26] = 2.96; + f[27] = 3.26; + f[28] = 3.46; + f[29] = 3.56; + f[30] = 3.24; + f[31] = 3.34; + f[32] = 3.64; + f[33] = 3.94; + f[34] = 4.14; + f[35] = 4.24; + f[36] = 4.00; + f[37] = 4.10; + f[38] = 4.40; + f[39] = 4.70; + f[40] = 4.90; + f[41] = 5.00; + + System.out.printf(" E01DAJ Example Program Results\n\n"); + e01da.eval(mx, my, x, y, f, px, py, lamda, mu, c, wrk, ifail); + + ifail = (int)e01da.getIFAIL(); + switch (ifail) + { + case 0: + System.out.printf(" I Knot LAMDA(I) J Knot MU(j)\n"); + for (int i = 3; i <= Math.max(mx,my); ++i) + { + if (i <= mx) + System.out.printf("%4d %9.4f", i+1, lamda[i]); + else + System.out.printf(" "); + if (i <= my) + System.out.printf("%8d %9.4f\n", i+1, mu[i]); + else + System.out.printf("\n"); + } + System.out.printf("\n The B-Spline coefficients:\n"); + for (int i = 0; i < mx*my; ++i) + { + System.out.printf("%9.4f", c[i]); + if ((i+1)%8 == 0) + System.out.printf("\n"); + } + System.out.printf("\n"); + break; + default: + System.out.printf("\n Error detected by E01DA: %d\n", ifail); + } + + /* Evaluate the spline on a regular rectangular grid at nx*ny points + over the domain [xlo,xhi] x [ylo,yhi]. */ + px = (int)e01da.getPX(); + py = (int)e01da.getPY(); + int liwrk; + int lwrk = Math.min(4*nx+px,4*ny+py); + if (4*nx+px>4*ny+py) + liwrk = ny + py - 4; + else + liwrk = nx + px - 4; + double tx[] = new double[nx]; + double ty[] = new double[ny]; + double ff[] = new double[nx*ny]; + wrk = new double[lwrk]; + long iwrk[] = new long[liwrk]; + + /* Generate nx/ny equispaced x/y co-ordinates */ + double step = (xhi-xlo)/(nx-1); + tx[0] = xlo; + for (int i = 1; i 0) ? datafile.n : 1; + + // This particular example problem is of type QP2 with H stored explicitly, + // so we allocate CVEC(N) and H(LDH,N), and define LDH and LWORK as below + ldh = datafile.n; + + if (datafile.nclin > 0) { + lwork = 2 * datafile.n * datafile.n + 8 * datafile.n + 5 * datafile.nclin; + } + else { + lwork = datafile.n * datafile.n + 8 * datafile.n; + } + + istate = new long[(int)(datafile.n + datafile.nclin)]; + ax = new double[(int)Math.max(1, datafile.nclin)]; + iwork = new long[(int)liwork]; + // h, bl, bu, cvec, x, a: already read from data file + clamda = new double[(int)(datafile.n + datafile.nclin)]; + work = new double[(int)lwork]; + + // Init routine + E04WB e04wb = new E04WB(); + long lcwsav = 1, liwsav = 610, llwsav = 120, lrwsav = 475; + String[] cwsav = new String[(int)lcwsav]; + cwsav[0] = " "; + long[] iwsav = new long[(int)liwsav]; + boolean[] lwsav = new boolean[(int)llwsav]; + double[] rwsav = new double[(int)lrwsav]; + ifail = 0; + e04wb.eval("E04NFA", cwsav, lcwsav, lwsav, llwsav, iwsav, liwsav, rwsav, lrwsav, ifail); + + // Set print level to match E04NFF example output + E04NH e04nh = new E04NH(); + int inform = 0; + e04nh.eval("Print Level = 10", lwsav, iwsav, rwsav, inform); + + // Solve the problem + E04NF e04nf = new E04NF(); + double[] ruser = new double[1]; + long[] iuser = new long[1]; + iter = 0; + obj = Double.NaN; + ifail = 0; + e04nf.eval(datafile.n, datafile.nclin, datafile.a, datafile.lda, datafile.bl, + datafile.bu, datafile.cvec, datafile.h, datafile.ldh, new QPHESS(), istate, + datafile.x, iter, obj, ax, clamda, iwork, liwork, work, lwork, + iuser, ruser, lwsav, iwsav, rwsav, ifail); + + ifail = e04nf.getIFAIL(); + + } catch (Exception ex) { + Logger.getLogger(E04NFJE.class.getName()).log(Level.SEVERE, null, ex); + } + + } + + /** Using E54NFU as a default */ + public static class QPHESS extends E54NFU implements E04NF.E04NF_QPHESS { + + public void eval() { + + super.eval(); + + } + + } + + public static class DataFile { + + public String filename; + public long n, nclin, lda, sda, ldh; + public double[] cvec, a, bl, bu, x, h; + + public DataFile(String filename) { + this.filename = filename; + } + + public void read() throws FileNotFoundException, IOException { + BufferedReader dataIn = new BufferedReader(new FileReader(filename)); + String line = dataIn.readLine(); // skipping header + line = dataIn.readLine().trim(); + String[] lines = line.split(":");//removing comments + String[] dataLine = lines[0].split("\\s+"); + if (dataLine.length != 2) { + System.err.println("Something went wrong when reading the data file - can't read n and nclin!"); + System.exit(1); + } + n = Integer.parseInt(dataLine[0]); + nclin = Integer.parseInt(dataLine[1]); + + lda = Math.max(1, nclin); + + if (nclin > 0) { + sda = n; + } else { + sda = 1; + + } + ldh = n; + + cvec = new double[(int)n]; + a = new double[(int)(lda * sda)]; + bl = new double[(int)(n + nclin)]; + bu = new double[(int)(n + nclin)]; + x = new double[(int)n]; + h = new double[(int)(ldh * n)]; + + //reading cvec + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file - not enought or too many data for cvec"); + System.exit(1); + } + + for (int i = 0; i < n; ++i) { + cvec[i] = Double.parseDouble(dataLine[i].trim().replaceAll("D", "E")); + } + + //reading a + for (int i = 0; i < lda; ++i) { + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != sda) { + System.err.println("Something went wrong when reading the data file - not enought or too many data for a"); + System.exit(1); + } + for (int j = 0; j < sda; ++j) { + a[(int)(i + j * lda)] = Double.parseDouble(dataLine[j].trim().replaceAll("D", "E")); + } + } + + //reading bl + //it's on two lines in the data file, so we need to merge them + line = dataIn.readLine().trim().split(":")[0].trim() + " " + dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n + nclin) { + System.err.println("Something went wrong when reading the data file - not enought or too many data for bl"); + System.exit(1); + } + for (int i = 0; i < n + nclin; ++i) { + bl[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + //reading bu + //it's on two lines in the data file, so we need to merge them + line = dataIn.readLine().trim().split(":")[0].trim() + " " + dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n + nclin) { + System.err.println("Something went wrong when reading the data file - not enought or too many data for bu"); + System.exit(1); + } + for (int i = 0; i < n + nclin; ++i) { + bu[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file - not enought or too many data for x"); + System.exit(1); + } + for (int i = 0; i < n; ++i) { + x[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); + } + + for (int i = 0; i < ldh; ++i) { + line = dataIn.readLine().trim().split(":")[0].trim(); + dataLine = line.split("\\s+"); + if (dataLine.length != n) { + System.err.println("Something went wrong when reading the data file - not enought or too many data for h at line " + i); + System.exit(1); + } + for (int j = 0; j < n; ++j) { + h[(int)(i + j * ldh)] = Double.parseDouble(dataLine[j].replaceAll("D", "E")); + } + } + + + } + } + +} diff --git a/simple_examples/source/int64/E04UCJE.java b/simple_examples/source/int64/E04UCJE.java new file mode 100644 index 0000000..20ad573 --- /dev/null +++ b/simple_examples/source/int64/E04UCJE.java @@ -0,0 +1,207 @@ +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.E04.E04UC; +import com.nag.routines.E04.E04WB; +import com.nag.routines.F06.DGEMV; +import com.nag.routines.Routine; +import java.util.Arrays; + +/** + * @author joed + */ +public class E04UCJE { + + public static final double ONE = 1.0, ZERO = 0.0; + public static final long INC1 = 1, LCWSAV = 1, LIWSAV = 610, LLWSAV = 120, LRWSAV = 475; + public static CONFUN confun = new CONFUN(); + public static OBJFUN objfun = new OBJFUN(); + + public static void main(String[] args) throws NAGBadIntegerException { + /* Local Scalars */ + double objf; + long i, ifail, iter, j, lda, ldcj, ldr, liwork, lwork, n, nclin, ncnln, sda, sdcjac; + /* Local Arrays */ + double[] a, bl, bu, c, cjac, clamda, objgrd, r, work, x; + double[] ruser = new double[1], rwsav = new double[(int)LRWSAV]; + long[] istate, iwork; + long[] iuser = new long[1], iwsav = new long[(int)LIWSAV]; + boolean[] lwsav = new boolean[(int)LLWSAV]; + String[] cwsav = new String[(int)LCWSAV]; + Arrays.fill(cwsav, " "); + + System.out.println(" E04UCJ Example Program Results"); + Routine.init(); + + /* Set scalars */ + n = 4; + nclin = 1; + ncnln = 2; + liwork = 3*n + nclin + 2*ncnln; + lda = Math.max(1, nclin); + sda = (nclin > 0) ? n : 1; + ldcj = Math.max(1, ncnln); + sdcjac = (ncnln > 0) ? n : 1; + ldr = n; + + if (ncnln == 0 && nclin > 0) { + lwork = 2*n*n + 20*n + 11*nclin; + } + else if (ncnln > 0 && nclin >= 0) { + lwork = 2*n*n + n*nclin + 2*n*ncnln + 20*n + 11*nclin + 21*ncnln; + } + else { + lwork = 20*n; + } + + /* Set arrays */ + istate = new long[(int)(n + nclin + ncnln)]; + iwork = new long[(int)liwork]; + c = new double[(int)(Math.max(1, ncnln))]; + cjac = new double[(int)(ldcj * sdcjac)]; + clamda = new double[(int)(n + nclin + ncnln)]; + objgrd = new double[(int)n]; + r = new double[(int)(ldr * n)]; + work = new double[(int)lwork]; + + a = new double[]{1.0, 1.0, 1.0, 1.0}; + bl = new double[]{1.0, 1.0, 1.0, 1.0, -1.0E+25, -1.0E+25, 25.0}; + bu = new double[]{5.0, 5.0, 5.0, 5.0, 20.0, 40.0, 1.0E+25}; + x = new double[]{1.0, 5.0, 5.0, 1.0}; + + /* Initialise E04UC */ + E04WB e04wb = new E04WB(); + ifail = 0; + e04wb.eval("E04UCA", cwsav, LCWSAV, lwsav, LLWSAV, iwsav, LIWSAV, rwsav, LRWSAV, ifail); + + /* Solve the problem */ + E04UC e04uc = new E04UC(); + iter = 0; + objf = 0.0; + ifail = -1; + e04uc.eval(n, nclin, ncnln, lda, ldcj, ldr, a, bl, bu, confun, objfun, iter, istate, c, + cjac, clamda, objf, objgrd, r, x, iwork, liwork, work, lwork, iuser, ruser, + lwsav, iwsav, rwsav, ifail); + iter = e04uc.getITER(); + objf = e04uc.getOBJF(); + ifail = e04uc.getIFAIL(); + + if ((0 >= ifail && ifail <= 6) || ifail == 8) { + System.out.println(); + System.out.println(" Varbl Istate Value Lagr Mult"); + System.out.println(); + + for (i = 0; i < n; i++) { + System.out.printf(" V %3d %3d %13.6G %13.4G\n", i+1, istate[(int)i], x[(int)i], clamda[(int)i]); + } + + if (nclin > 0) { + + /* A*x --> work. + * The NAG name equivalent of DGEMV is F06PA */ + DGEMV dgemv = new DGEMV(); + dgemv.eval("N", nclin, n, ONE, a, lda, x, INC1, ZERO, work, INC1); + + System.out.println(); + System.out.println(); + System.out.println(" L Con Istate Value Lagr Mult"); + System.out.println(); + + for (i = n; i < n+nclin; i++) { + j = i - n; + System.out.printf(" L %3d %3d %13.6G %13.4G\n", j+1, istate[(int)i], work[(int)j], clamda[(int)i]); + } + + } + + if (ncnln > 0) { + System.out.println(); + System.out.println(); + System.out.println(" N Con Istate Value Lagr Mult"); + System.out.println(); + + for (i = n+nclin; i < n+nclin+ncnln; i++) { + j = i - n - nclin; + System.out.printf(" N %3d %3d %13.6G %13.4G\n", j+1, istate[(int)i], c[(int)j], clamda[(int)i]); + } + + } + + System.out.println(); + System.out.println(); + System.out.printf(" Final objective value = %11.7G\n", objf); + + } + + } + + /** Routine to evaluate objective function and its 1st derivatives */ + public static class OBJFUN extends E04UC.Abstract_E04UC_OBJFUN { + + public void eval() { + + if (MODE == 0 || MODE == 2) { + OBJF = X[0] * X[3] * (X[0]+X[1]+X[2]) + X[2]; + } + + if (MODE == 1 || MODE == 2) { + OBJGRD[0] = X[3] * (X[0]+X[0]+X[1]+X[2]); + OBJGRD[1] = X[0] * X[3]; + OBJGRD[2] = X[0] * X[3] + ONE; + OBJGRD[3] = X[0] * (X[0]+X[1]+X[2]); + } + + } + + } + + /** Routine to evaluate the nonlinear constraints and their 1st derivatives */ + public static class CONFUN extends E04UC.Abstract_E04UC_CONFUN { + + public void eval() { + + if (NSTATE == 1) { + + /* First call to CONFUN. Set all Jacobian elements to zero. + * Note that this will only work when 'Derivative Level = 3' + * (the default; see Section 11.2). */ + + for (int i = 0; i < CJAC.length; ++i) { + CJAC[i] = 0; + } + + } + + if (NEEDC[0] > 0) { + + if (MODE == 0 || MODE == 2) { + C[0] = X[0]*X[0] + X[1]*X[1] + X[2]*X[2] + X[3]*X[3]; + } + + if (MODE == 1 || MODE == 2) { + CJAC[0] = X[0] + X[0]; + CJAC[(int)LDCJ] = X[1] + X[1]; + CJAC[(int)(2*LDCJ)] = X[2] + X[2]; + CJAC[(int)(3*LDCJ)] = X[3] + X[3]; + } + + } + + if (NEEDC[1]>0) { + + if (MODE == 0 || MODE == 2) { + C[1] = X[0]*X[1]*X[2]*X[3]; + } + + if (MODE == 1 || MODE == 2) { + CJAC[1] = X[1]*X[2]*X[3]; + CJAC[(int)(1+LDCJ)] = X[0]*X[2]*X[3]; + CJAC[(int)(1+2*LDCJ)] = X[0]*X[1]*X[3]; + CJAC[(int)(1+3*LDCJ)] = X[0]*X[1]*X[2]; + } + + } + + } + + } + +} diff --git a/simple_examples/source/int64/F02EKJE.java b/simple_examples/source/int64/F02EKJE.java new file mode 100644 index 0000000..d8f152c --- /dev/null +++ b/simple_examples/source/int64/F02EKJE.java @@ -0,0 +1,230 @@ +emacimport java.util.Arrays; + +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.F02.F02EK; +import com.nag.routines.F12.F12AD; +import com.nag.routines.X02.X02AJ; +import com.nag.routines.Routine; +import com.nag.types.*; + + +/** + * @author joed + */ +public class F02EKJE { + + public static MYMONIT mymonit = new MYMONIT(); + public static MYOPTION myoption = new MYOPTION(); + + public static void main(String[] args) throws NAGBadIntegerException { + F02EK f02ek = new F02EK(); + X02AJ x02aj = new X02AJ(); + double h, rho, s, sigma; + int ifail, imon, k, ldv, maxit, mode, n, nconv, ncv, nev, nnz, nx, + prtlvl; + NAGComplex complex = new NAGComplex(); + double[] a, resid, v, ruser = new double[1]; + int[] icolzp, irowix, iuser = new int[4]; + NAGComplex[] w; + + // Initialise wrapper library + Routine.init(); + Routine.setComplex(complex); + + System.out.println(" F02EKJ Example Program Results"); + System.out.println(); + + nx = 10; + nev = 4; + ncv = 20; + rho = 10.0; + sigma = 5.5; + + n = nx * nx; + nnz = 3*n - 2; + ldv = n; + + resid = new double[ncv]; + a = new double[nnz]; + icolzp = new int[n + 1]; + irowix = new int[nnz]; + w = (NAGComplex[]) complex.getArrayOfInstances(ncv); + v = new double[ldv * ncv]; + + // Construct A in compressed column storage (CCS) format where: + // A{ i , i } = 2 + i + // A{i+1, i } = 3 + // A{ i , i+1} = rho/(2n+2) - 1 + + h = 1.0 / (double)(n+1); + s = (rho * h / 2.0) - 1.0; + + a[0] = 2.0 + 1.0; + a[1] = 3.0; + icolzp[0] = 1; + irowix[0] = 1; + irowix[1] = 2; + k = 3; + + for (int i = 1; i < n - 1; i++) { + icolzp[i] = k; + irowix[k - 1] = i; + irowix[k] = i + 1; + irowix[k + 1] = i + 2; + a[k - 1] = s; + a[k] = 2.0 + (double)(i + 1); + a[k + 1] = 3.0; + k += 3; + } + + icolzp[n - 1] = k; + icolzp[n] = k + 2; + irowix[k - 1] = n - 1; + irowix[k] = n; + a[k - 1] = s; + a[k] = 2.0 + (double)(n); + + // Set some options via iuser array and return routine argument OPTION + // iuser[0] = print level + // iuser[1] = iteration limit + // iuser[2] > 0 means shifted-invert mode + // iuser[3] > 0 means print monitoring info + + prtlvl = 0; + maxit = 500; + mode = 1; + imon = 1; + + if (prtlvl > 0) { + imon = 0; + } + + iuser[0] = prtlvl; + iuser[1] = maxit; + iuser[2] = mode; + iuser[3] = imon; + + nconv = 0; // placeholder value, nconv is output only + ifail = 0; // hard exit on error + + f02ek.eval( + n, nnz, a, icolzp, irowix, nev, ncv, sigma, mymonit, myoption, + nconv, w, v, ldv, resid, iuser, ruser, ifail + ); + ifail = f02ek.getIFAIL(); + nconv = f02ek.getNCONV(); + + System.out.println(); + System.out.printf( + " The %4d Ritz values of closest to %13.5E are:\n", nconv, sigma + ); + + // Get machine precision + double mp = x02aj.eval(); + + for (int i = 0; i < nconv; i++) { + if (resid[i] > (double)(100*n*mp)) { + System.out.printf( + " %8d ( %13.5E , %13.5E ) %13.5E\n", + i + 1, w[i], resid[i] + ); + } + else { + System.out.printf( + " %8d ( %13.5E , %13.5E )\n", + i + 1, w[i].getRe(), w[i].getIm() + ); + } + } + + } + + public static class MYOPTION extends F02EK.Abstract_F02EK_OPTION { + + public void eval() { + F12AD f12ad = new F12AD(); + int ifail1; + String rec = " "; + + this.ISTAT = 0; + + if (this.IUSER[0] > 0) { + System.out.printf("Print Level=%5d\n", this.IUSER[0]); + ifail1 = 1; + f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[1] > 100) { + System.out.printf("Iteration Limit=%5d\n", this.IUSER[1]); + ifail1 = 1; + f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + if (this.IUSER[2] > 0) { + ifail1 = 1; + f12ad.eval ( + "Shifted Inverse Real ", this.ICOMM, this.COMM, ifail1 + ); + ifail1 = f12ad.getIFAIL(); + this.ISTAT = Math.max(this.ISTAT, ifail1); + } + + } + + } + + public static class MYMONIT extends F02EK.Abstract_F02EK_MONIT { + + public NAGComplexInterface[] getW(){ + return this.W; + } + + public void eval() { + + if (this.IUSER[3] > 0) { + + if (this.NITER == 1 && this.IUSER[2] > 0) { + System.out.printf( + " Arnoldi basis vectors used:%4d\n", this.NCV + ); + System.out.printf( + " The following Ritz values (mu) are related to the\n" + + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" + ); + } + + System.out.println(); + System.out.printf(" Iteration number %4d\n", this.NITER); + System.out.printf( + " Ritz values converged so far (%4d) and their Ritz" + + " estimates:\n", this.NCONV + ); + + for (int i = 0; i < this.NCONV; i++) { + System.out.printf( + " %4d (%13.5E,%13.5E) %13.5E\n", + i + 1, this.W[i].getRe(), this.W[i].getIm(), + this.RZEST[i] + ); + } + + System.out.printf(" Next (unconverged) Ritz value:\n"); + + System.out.printf( + " %4d (%13.5E,%13.5E)\n", + this.NCONV + 1, this.W[NCONV].getRe(), this.W[NCONV].getIm() + ); + + } + + this.ISTAT = 0; + + } + + } + +} diff --git a/simple_examples/source/withdrawn/D02TKJE.java b/simple_examples/source/withdrawn/D02TKJE.java new file mode 100644 index 0000000..16e9e9b --- /dev/null +++ b/simple_examples/source/withdrawn/D02TKJE.java @@ -0,0 +1,290 @@ +import java.util.Arrays; + +import com.nag.exceptions.NAGBadIntegerException; +import com.nag.routines.D02.D02TK; +import com.nag.routines.D02.D02TV; +import com.nag.routines.D02.D02TX; +import com.nag.routines.D02.D02TY; +import com.nag.routines.D02.D02TZ; +import com.nag.routines.Routine; + + +/** + * @author joed + */ +public class D02TKJE { + + public static final int MMAX = 3, NEQ = 3, NLBC = 3, NRBC = 3; + + public static double omega, sqrofr; + public static int[] m = {1, 3, 2}; + + public static FFUN ffun = new FFUN(); + public static FJAC fjac = new FJAC(); + public static GAFUN gafun = new GAFUN(); + public static GAJAC gajac = new GAJAC(); + public static GBFUN gbfun = new GBFUN(); + public static GBJAC gbjac = new GBJAC(); + public static GUESS guess = new GUESS(); + + public static void main(String[] args) throws NAGBadIntegerException { + D02TK d02tk = new D02TK(); + D02TV d02tv = new D02TV(); + D02TX d02tx = new D02TX(); + D02TY d02ty = new D02TY(); + D02TZ d02tz = new D02TZ(); + double dx, ermx, r; + int iermx, ifail, ijermx, licomm, lrcomm, mxmesh, ncol, ncont, nmesh; + double[] mesh, tol, work, y; + int[] icomm, ipmesh; + + // Initialise wrappers + Routine.init(); + + System.out.println(" D02TKJ Example Program Results"); + System.out.println(); + + // Values from d02tkfe.d + ncol = 7; + nmesh = 11; + mxmesh = 51; + + licomm = 23 + NEQ + mxmesh; + lrcomm = mxmesh * (109 * (int)Math.pow(NEQ, 2) + 78 * NEQ + 7); + + mesh = new double[mxmesh]; + tol = new double[NEQ]; + work = new double[lrcomm]; + y = new double[NEQ * MMAX]; + ipmesh = new int[mxmesh]; + icomm = new int[licomm]; + + // Values from d02tkfe.d + omega = 1.0; + Arrays.fill(tol, 1.0E-4); + + dx = 1.0 / ((double) nmesh - 1); + + mesh[0] = 0.0; + for (int i = 1; i < nmesh - 1; i++) { + mesh[i] = mesh[i - 1] + dx; + } + mesh[nmesh - 1] = 1.0; + + ipmesh[0] = 1; + Arrays.fill(ipmesh, 1, nmesh - 1, 2); + ipmesh[nmesh - 1] = 1; + + // Initial integrator for given problem. + ifail = 0; + d02tv.eval( + NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, work, + lrcomm, icomm, licomm, ifail + ); + + // Values from d02tkfe.d + ncont = 3; + r = 1.0E6; + + sqrofr = Math.sqrt(r); + + ermx = 0.0; + iermx = 0; + ijermx = 0; + + for (int j = 0; j < ncont; j++) { + System.out.printf("\n Tolerance = %8.1E R = %10.3E\n", tol[0], r); + + // Solve problem + ifail = -1; + d02tk.eval( + ffun, fjac, gafun, gbfun, gajac, gbjac, guess, work, icomm, + ifail + ); + ifail = d02tk.getIFAIL(); + if (ifail == 1) break; + + // Extract mesh + ifail = -1; + d02tz.eval( + mxmesh, nmesh, mesh, ipmesh, ermx, iermx, ijermx, work, icomm, + ifail + ); + nmesh = d02tz.getNMESH(); + iermx = d02tz.getIERMX(); + ijermx = d02tz.getIJERMX(); + ermx = d02tz.getERMX(); + ifail = d02tz.getIFAIL(); + if (ifail == 1) break; + + // Print mesh, error stats + System.out.printf( + "\n" + + " Used a mesh of %4d points\n" + + " Maximum error = %10.2E in interval %4d for component %4d\n" + + "\n", + nmesh, ermx, iermx, ijermx + ); + System.out.printf("\n Mesh points:\n"); + for (int i = 0; i < nmesh; i++) { + System.out.printf("%4d(%1d)%10.3E", i+1, ipmesh[i], mesh[i]); + if ((i+1) % 4 == 0) System.out.printf("\n"); + } + System.out.printf("\n"); + + // Print solution components on mesh + System.out.printf("\n x f f\' g\n"); + for (int i = 0; i < nmesh; i++) { + ifail = 0; + d02ty.eval(mesh[i], y, NEQ, MMAX, work, icomm, ifail); + ifail = d02ty.getIFAIL(); + if (ifail != 0) { + System.err.println( + "D02TY failed with error code " + ifail + ); + break; + } + System.out.printf( + " %8.3f %9.4f%9.4f%9.4f\n", mesh[i], y[getIdx(1, 0, NEQ)], + y[getIdx(2, 0, NEQ)], y[getIdx(3, 0, NEQ)] + ); + } + + if (j == ncont - 1) break; + + // Modify continuation parameter + r = 100.0 * r; + sqrofr = Math.sqrt(r); + + // Select mesh for continuation + Arrays.fill(ipmesh, 1, nmesh - 1, 2); + + // Call continuation primer routine + ifail = 0; + d02tx.eval(mxmesh, nmesh, mesh, ipmesh, work, icomm, ifail); + mxmesh = d02tx.getMXMESH(); + nmesh = d02tx.getNMESH(); + ifail = d02tx.getIFAIL(); + if (ifail != 0) { + System.err.println("D02TX failed with error code " + ifail); + } + + } + + } + + /** + * Converts a 2D Fortran index to the 1D index for its corresponding Java + * array. Assumes y is already zero-based. + * + * Fortran array definition: + * a(dimX, 0:*) + * + * Conversion: + * a(x, y) --> A[result] + */ + private static int getIdx(int x, int y, int dimX) { + return (y * dimX) + (x-1); + } + + /** + * Converts a 3D Fortran index to the 1D index for its corresponding Java + * array. Assumes z is already zero-based. + * + * Fortran array definition: + * a(dimX, dimY, 0:*) + * + * Conversion: + * a(x, y, z) --> A[result] + */ + private static int getIdx(int x, int y, int z, int dimX, int dimY) { + return (z * dimY * dimX) + ((y-1) * dimX) + (x-1); + } + + public static class FFUN extends D02TK.Abstract_D02TK_FFUN { + + public void eval() { + F[0] = Y[getIdx(2, 0, NEQ)]; + F[1] = -((Y[getIdx(1, 0, NEQ)] * Y[getIdx(2, 2, NEQ)]) + + (Y[getIdx(3, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; + F[2] = ((Y[getIdx(2, 0, NEQ)] * Y[getIdx(3, 0, NEQ)]) + - (Y[getIdx(1, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; + } + + } + + public static class FJAC extends D02TK.Abstract_D02TK_FJAC { + + public void eval() { + DFDY[getIdx(1, 2, 0, NEQ, NEQ)] = 1.0; + DFDY[getIdx(2, 1, 0, NEQ, NEQ)] = -Y[getIdx(2, 2, NEQ)] * sqrofr; + DFDY[getIdx(2, 2, 2, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; + DFDY[getIdx(2, 3, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; + DFDY[getIdx(2, 3, 1, NEQ, NEQ)] = -Y[getIdx(3, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 1, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; + DFDY[getIdx(3, 2, 0, NEQ, NEQ)] = Y[getIdx(3, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 3, 0, NEQ, NEQ)] = Y[getIdx(2, 0, NEQ)] * sqrofr; + DFDY[getIdx(3, 3, 1, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; + } + + } + + public static class GAFUN extends D02TK.Abstract_D02TK_GAFUN { + + public void eval() { + GA[0] = YA[getIdx(1, 0, NEQ)]; + GA[1] = YA[getIdx(2, 0, NEQ)]; + GA[2] = YA[getIdx(3, 0, NEQ)] - omega; + } + + } + + public static class GBFUN extends D02TK.Abstract_D02TK_GBFUN { + + public void eval() { + GB[0] = YB[getIdx(1, 0, NEQ)]; + GB[1] = YB[getIdx(2, 0, NEQ)]; + GB[2] = YB[getIdx(3, 0, NEQ)] + omega; + } + + } + + public static class GAJAC extends D02TK.Abstract_D02TK_GAJAC { + + public void eval() { + DGADY[getIdx(1, 1, 0, NLBC, NEQ)] = 1.0; + DGADY[getIdx(2, 2, 0, NLBC, NEQ)] = 1.0; + DGADY[getIdx(3, 3, 0, NLBC, NEQ)] = 1.0; + } + + } + + public static class GBJAC extends D02TK.Abstract_D02TK_GBJAC { + + public void eval() { + DGBDY[getIdx(1, 1, 0, NRBC, NEQ)] = 1.0; + DGBDY[getIdx(2, 2, 0, NRBC, NEQ)] = 1.0; + DGBDY[getIdx(3, 3, 0, NRBC, NEQ)] = 1.0; + } + + } + + public static class GUESS extends D02TK.Abstract_D02TK_GUESS { + + public void eval() { + Y[getIdx(1, 0, NEQ)] = -(X - 0.5) * Math.pow(X * (X - 1.0), 2.0); + Y[getIdx(2, 0, NEQ)] = -X * (X - 1.0) + * (5.0 * X * (X - 1.0) + 1.0); + Y[getIdx(2, 1, NEQ)] = -(2.0 * X - 1.0) + * (10.0 * X * (X - 1.0) + 1.0); + Y[getIdx(2, 2, NEQ)] = -12.0 * (5.0 * X * (X - 1.0) + 1.0); + Y[getIdx(3, 0, NEQ)] = -8.0 * omega * Math.pow(X - 0.5, 3.0); + Y[getIdx(3, 1, NEQ)] = -24.0 * omega * Math.pow(X - 0.5, 2.0); + DYM[0] = Y[getIdx(2, 0, NEQ)]; + DYM[1] = -120.0 * (X - 0.5); + DYM[2] = -56.0 * omega * (X - 0.5); + } + + } + +} From d9fe429148d032456ed37c052222f0a850ff2033 Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Mon, 18 Jan 2021 09:40:46 +0000 Subject: [PATCH 133/196] Simple Examples Synced --- simple_examples/data/mytemp | 0 1 file changed, 0 insertions(+), 0 deletions(-) delete mode 100644 simple_examples/data/mytemp diff --git a/simple_examples/data/mytemp b/simple_examples/data/mytemp deleted file mode 100644 index e69de29..0000000 From 928ed3aec5a9830a1cd43477ca8afec4cedfeb3f Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Mon, 18 Jan 2021 10:00:01 +0000 Subject: [PATCH 134/196] Removed extra examples --- simple_examples/A00AAJE.java | 16 -- simple_examples/A00ACJE.java | 29 --- simple_examples/A00ADJE.java | 107 --------- simple_examples/C02AAJE.java | 174 --------------- simple_examples/C02ABJE.java | 217 ------------------ simple_examples/C02AFJE.java | 271 ---------------------- simple_examples/C02AGJE.java | 262 ---------------------- simple_examples/C02AHJE.java | 61 ----- simple_examples/C02AJJE.java | 65 ------ simple_examples/C02AKJE.java | 62 ------ simple_examples/C02ALJE.java | 64 ------ simple_examples/C02AMJE.java | 75 ------- simple_examples/C02ANJE.java | 80 ------- simple_examples/C05AUJE.java | 67 ------ simple_examples/C05AWJE.java | 59 ----- simple_examples/C05AYJE.java | 44 ---- simple_examples/C05AZJE.java | 65 ------ simple_examples/C05BBJE.java | 89 -------- simple_examples/C05MBJE.java | 95 -------- simple_examples/C05QBJE.java | 167 -------------- simple_examples/C06BAJE.java | 56 ----- simple_examples/C06FKJE.java | 91 -------- simple_examples/C09AAJE.java | 158 ------------- simple_examples/D01BDJE.java | 58 ----- simple_examples/D01RJJE.java | 184 --------------- simple_examples/D01RKJE.java | 173 --------------- simple_examples/D01RLJE.java | 196 ---------------- simple_examples/D01RMJE.java | 163 -------------- simple_examples/D01TCJE.java | 45 ---- simple_examples/D02NEJE.java | 388 -------------------------------- simple_examples/D02TLJE.java | 290 ------------------------ simple_examples/D03PCJE.java | 217 ------------------ simple_examples/D03RAJE.java | 307 ------------------------- simple_examples/D03RBJE.java | 388 -------------------------------- simple_examples/D05BAJE.java | 111 --------- simple_examples/D05BEJE.java | 185 --------------- simple_examples/DTFSMJE.java | 54 ----- simple_examples/E01DAJE.java | 182 --------------- simple_examples/E02ALJE.java | 101 --------- simple_examples/E04ABJE.java | 76 ------- simple_examples/E04BBJE.java | 81 ------- simple_examples/E04CBJE.java | 90 -------- simple_examples/E04FCJE.java | 420 ----------------------------------- simple_examples/E04FFJE.java | 140 ------------ simple_examples/E04GBJE.java | 183 --------------- simple_examples/E04GGJE.java | 219 ------------------ simple_examples/E04MTJE.java | 132 ----------- simple_examples/E04MXJE.java | 292 ------------------------ simple_examples/E04NCJE.java | 246 -------------------- simple_examples/E04NFJE.java | 234 ------------------- simple_examples/E04NKJE.java | 295 ------------------------ simple_examples/E04NQJE.java | 384 -------------------------------- simple_examples/E04PTJE.java | 344 ---------------------------- simple_examples/E04RPJE.java | 199 ----------------- simple_examples/E04RSJE.java | 229 ------------------- simple_examples/E04RTJE.java | 225 ------------------- simple_examples/E04SAJE.java | 104 --------- simple_examples/E04TAJE.java | 188 ---------------- simple_examples/E04TCJE.java | 263 ---------------------- simple_examples/E04UCJE.java | 211 ------------------ simple_examples/E04YAJE.java | 112 ---------- simple_examples/F01ADJE.java | 39 ---- simple_examples/F01CKJE.java | 60 ----- simple_examples/F01CRJE.java | 47 ---- simple_examples/F01DGJE.java | 72 ------ simple_examples/F01ELJE.java | 89 -------- simple_examples/F01EMJE.java | 106 --------- simple_examples/F02EKJE.java | 227 ------------------- simple_examples/F02FKJE.java | 230 ------------------- simple_examples/F02WGJE.java | 132 ----------- simple_examples/F03BAJE.java | 108 --------- simple_examples/F04AMJE.java | 114 ---------- simple_examples/F04BAJE.java | 144 ------------ simple_examples/F05AAJE.java | 99 --------- simple_examples/F06CLJE.java | 40 ---- simple_examples/F07AAJE.java | 90 -------- simple_examples/F07ABJE.java | 134 ----------- simple_examples/F07ADJE.java | 72 ------ simple_examples/F07AQJE.java | 99 --------- simple_examples/F07FAJE.java | 79 ------- simple_examples/F07FBJE.java | 122 ---------- simple_examples/F08BTJE.java | 228 ------------------- simple_examples/F08FAJE.java | 113 ---------- simple_examples/F08XPJE.java | 297 ------------------------- simple_examples/G01ALJE.java | 55 ----- simple_examples/G02AKJE.java | 68 ------ simple_examples/G02BJJE.java | 303 ------------------------- simple_examples/G02BRJE.java | 134 ----------- simple_examples/G02DAJE.java | 187 ---------------- simple_examples/G02EEJE.java | 184 --------------- simple_examples/G02MAJE.java | 130 ----------- simple_examples/G03GAJE.java | 355 ----------------------------- simple_examples/G05KFJE.java | 105 --------- simple_examples/G13AWJE.java | 31 --- simple_examples/G13MEJE.java | 160 ------------- simple_examples/G13NAJE.java | 123 ---------- simple_examples/H02BBJE.java | 92 -------- simple_examples/H02DAJE.java | 228 ------------------- simple_examples/M01CCJE.java | 42 ---- simple_examples/S01BAJE.java | 39 ---- simple_examples/S10AAJE.java | 40 ---- simple_examples/S10ABJE.java | 41 ---- simple_examples/S10ACJE.java | 41 ---- simple_examples/S14ABJE.java | 71 ------ simple_examples/S14ACJE.java | 68 ------ simple_examples/S14AFJE.java | 80 ------- simple_examples/S17DCJE.java | 69 ------ simple_examples/S17DGJE.java | 61 ----- simple_examples/S30AAJE.java | 109 --------- simple_examples/S30ACJE.java | 129 ----------- simple_examples/X03AAJE.java | 87 -------- simple_examples/X04CBJE.java | 53 ----- simple_examples/X05ABJE.java | 25 --- 113 files changed, 15934 deletions(-) delete mode 100644 simple_examples/A00AAJE.java delete mode 100644 simple_examples/A00ACJE.java delete mode 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+0,0 @@ -import com.nag.routines.A00.A00AC; - -/** - * A00AC example program text. - * @author Mo - */ -public class A00ACJE { - - public static void main(String[] args) { - A00AC a00ac = new A00AC(); - boolean lmok; - - System.out.println(" A00ACJ Example Program Results\n"); - System.out.println(); - - a00ac.eval(); - - lmok = a00ac.eval(); - - if (lmok) { - System.out.println("A valid licence key is available"); - } - else { - System.out.println("No valid licence key was found"); - } - - } - -} diff --git a/simple_examples/A00ADJE.java b/simple_examples/A00ADJE.java deleted file mode 100644 index 139c8b9..0000000 --- a/simple_examples/A00ADJE.java +++ /dev/null @@ -1,107 +0,0 @@ -import com.nag.routines.A00.A00AD; -import com.nag.routines.X05.X05AA; -import java.util.Arrays; - -/** - * A00AD example program text. - */ -public class A00ADJE { - - public static void main(String[] args) { - - A00AD a00ad = new A00AD(); - X05AA x05aa = new X05AA(); - int i, mkmaj, mkmin; - boolean licval; - String fcomp, hdware, impl, opsys, pcode, prec, vend; - int[] itime = new int[7]; - - // Instantiate arguments - mkmaj = 0; - mkmin = 0; - licval = false; - - // Strings must be length expected by Fortran - fcomp = getBlankString(80); - hdware = getBlankString(80); - impl = getBlankString(80); - opsys = getBlankString(80); - pcode = getBlankString(80); - prec = getBlankString(80); - vend = getBlankString(80); - - System.out.println(" A00ADJ Example Program Results\n"); - - a00ad.eval(impl, prec, pcode, mkmaj, mkmin, hdware, opsys, fcomp, vend, licval); - - // Output scalars must be retrieved manually - impl = a00ad.getIMPL(); - prec = a00ad.getPREC(); - pcode = a00ad.getPCODE(); - mkmaj = a00ad.getMKMAJ(); - mkmin = a00ad.getMKMIN(); - hdware = a00ad.getHDWARE(); - opsys = a00ad.getOPSYS(); - fcomp = a00ad.getFCOMP(); - vend = a00ad.getVEND(); - licval = a00ad.getLICVAL(); - - // Print implementation details - - System.out.println("*** Start of NAG Library implementation details ***"); - System.out.println(); - System.out.println("Implementation title: " + impl.trim()); - System.out.println(" Precision: " + prec.trim()); - System.out.println(" Product code: " + pcode.trim()); - - if (mkmin < 10) { - System.out.printf(" Mark: %2d.%1d\n", mkmaj, mkmin); - } - else { - System.out.printf(" Mark: %2d.%2d\n", mkmaj, mkmin); - } - - if (vend.trim().equals("(self-contained)")) { - System.out.println(" Vendor Library: None"); - } - else { - System.out.println(" Vendor Library: " + vend.trim()); - } - - System.out.println("Applicable to:"); - System.out.println(" hardware: " + hdware.trim()); - System.out.println(" operating system: " + opsys.trim()); - System.out.println(" Fortran compiler: " + fcomp.trim()); - System.out.println("and compatible systems."); - - if (!licval) { - System.out.println(" Licence query: Unsuccessful"); - } - else { - System.out.println(" Licence query: Successful"); - } - - System.out.println(); - System.out.println("*** End of NAG Library implementation details ***"); - - } - - /** - * Returns a new String, filled with spaces to the specified length. - * - * @param len the required length of the String - * @return a blank String of the specified length - */ - public static String getBlankString(int len) { - - if (len > 0) { - char[] arr = new char[len]; - Arrays.fill(arr, ' '); - return new String(arr); - } - - return ""; - - } - -} diff --git a/simple_examples/C02AAJE.java b/simple_examples/C02AAJE.java deleted file mode 100644 index 1abc528..0000000 --- a/simple_examples/C02AAJE.java +++ /dev/null @@ -1,174 +0,0 @@ -import com.nag.routines.C02.C02AA; -import com.nag.routines.Routine; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X02.X02AL; -import com.nag.types.NAGComplex; -import java.util.Arrays; - -/** - * C02AA example program text. - * @author joed - * @since 27.1.0.0 - */ -public class C02AAJE { - - public static void main(String[] args) { - - System.out.println(" C02AAJ Example Program Results"); - - Routine.setComplex(new NAGComplex()); - exampleBasic(); - examplePolishing(); - - System.out.println(); - - } - - /** Demonstrate a basic problem. */ - public static void exampleBasic() { - - C02AA c02aa = new C02AA(); - int ifail, itmax, n, polish; - NAGComplex[] a, z; - double[] berr, cond; - int[] conv; - - System.out.println(); - System.out.println("Example 1: Basic Problem"); - System.out.println(); - - // Set polynomial degree and instantiate arrays - n = 5; - a = new NAGComplex[n+1]; - berr = new double[n]; - cond = new double[n]; - conv = new int[n]; - z = NAGComplex.createArray(n); - - // Set polynomial coefficients - a[0] = new NAGComplex(5.0, 6.0); - a[1] = new NAGComplex(30.0, 20.0); - a[2] = new NAGComplex(-0.2, -6.0); - a[3] = new NAGComplex(50.0, 100000.0); - a[4] = new NAGComplex(-2.0, 40.0); - a[5] = new NAGComplex(10.0, 1.0); - - // Find roots of the polynomial - itmax = 30; - polish = 1; - ifail = 0; - c02aa.eval(a, n, itmax, polish, z, berr, cond, conv, ifail); - - // Print output - System.out.println(" i z conv berr cond "); - System.out.println(" ---------------------------------------------------"); - for (int i = 0; i < n; i++) { - System.out.printf(" %2d %9.2E, %9.2E %3d %9.2E %9.2E\n", i+1, - z[i].getRe(), z[i].getIm(), conv[i], berr[i], cond[i]); - } - - } - - /** Compare polishing processes on a Wilkinson-style polynomial. */ - public static void examplePolishing() { - - C02AA c02aa = new C02AA(); - X02AJ x02aj = new X02AJ(); - X02AL x02al = new X02AL(); - NAGComplex pz; - double delta, eps, err, fwderr, maxfwderr, maxrelerr, relerr, rmax; - int ifail, itmax, k, n, polish; - NAGComplex[] a, z, zact; - double[] berr, cond; - int[] conv; - boolean[] matched; - - System.out.println(); - System.out.println("Example 2: Polishing Processes"); - System.out.println(); - - // Set polynomial degree and instantiate - n = 10; - a = new NAGComplex[n+1]; - berr = new double[n]; - cond = new double[n]; - conv = new int[n]; - matched = new boolean[n]; - z = new NAGComplex[n]; - zact = new NAGComplex[n]; - - // Set known roots and (instantiate z) - for (int i = 0; i < n; i++) { - zact[i] = new NAGComplex((double) i+1, 0.0); - z[i] = new NAGComplex(); - } - - // Multiply out (z-1)(z-2)...(z-n) for coefficients - for (int i = 0; i < n; i++) { - a[i] = new NAGComplex(); - } - a[n] = new NAGComplex(1.0, 0.0); - for (int i = 0; i < n; i++) { - for (int j = 0; j < n; j++) { - a[j] = a[j+1].subtract(a[j].multiply(zact[i])); - } - a[n] = a[n].negate().multiply(zact[i]); - } - - System.out.println(" polish relerr fwderr "); - System.out.println(" ----------------------------"); - - itmax = 30; - eps = x02aj.eval(); - rmax = x02al.eval(); - - for (polish = 0; polish <= 2; polish++) { - - // Find roots - ifail = 0; - c02aa.eval(a, n, itmax, polish, z, berr, cond, conv, ifail); - - /* Calculate the maximum relative errors of the roots, and the maximum - * forward error evaluating the polynomial at those roots. Errors are - * capped at machine precision. */ - maxrelerr = maxfwderr = eps; - Arrays.fill(matched, false); - - for (int i = 0; i < n; i++) { - - // Evaluate polynomial at this root - pz = a[0].clone(); - for (int j = 1; j <= n; j++) { - pz = z[i].multiply(pz).add(a[j]); - } - - // Match to an expected root - k = 0; - err = rmax; - for (int j = 0; j < n; j++) { - if (!matched[j]) { - delta = z[i].subtract(zact[j]).abs(); - if (delta <= err) { - err = delta; - k = j; - } - } - } - - // Mark as matched and update max errors - matched[k] = true; - relerr = err/zact[k].abs(); - fwderr = pz.abs(); - maxrelerr = Math.max(maxrelerr, relerr); - maxfwderr = Math.max(maxfwderr, fwderr); - - } - - // Print output - System.out.printf(" %2d %10.2E%10.2E\n", polish, maxrelerr, maxfwderr); - - } - - } - -} diff --git a/simple_examples/C02ABJE.java b/simple_examples/C02ABJE.java deleted file mode 100644 index fad5ebb..0000000 --- a/simple_examples/C02ABJE.java +++ /dev/null @@ -1,217 +0,0 @@ -import com.nag.routines.C02.C02AB; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X02.X02AL; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.util.Arrays; - -/** - * C02AB - */ -public class C02ABJE { - - public static void main(String[] args) { - - final boolean polish_example = false; - - Routine.setComplex(new NAGComplex()); - - System.out.println(" C02ABJ Example Program Results"); - - ex1_basic(args); - if (polish_example) { - ex2_polishing(args); - } - } - - public static void ex1_basic(String[] args) { - - int i, ifail, itmax, n = 0, polish; - - NAGComplex[] z = null; - double[] a = null, berr = null, cond = null; - int[] conv = null; - - System.out.println("\n Basic Problem\n"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading in data file - String line = reader.readLine(); - line = reader.readLine(); - line = reader.readLine(); - - // Read polynomial degree and allocate - line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - a = new double[n + 1]; - berr = new double[n]; - cond = new double[n]; - conv = new int[n]; - z = NAGComplex.createArray(n); - - // Read polynomial coefficients - for (i = 0; i <= n; i++) { - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - a[i] = Double.parseDouble(sVal[0]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Find roots of the polynomial - itmax = 30; - polish = 1; - ifail = 0; - C02AB c02ab = new C02AB(); - c02ab.eval(a ,n, itmax, polish, z, berr, cond, conv, ifail); - - // Print output - System.out.println(" i z conv berr cond"); - System.out.println(" -----------------------------------------------------"); - for (i = 0; i < n; i++) { - System.out.printf(" %2d (%10.2E, %9.2E) %3d %9.2E %9.2E\n", i+1, z[i].getRe(), z[i].getIm(), conv[i], berr[i], cond[i]); - } - } - - public static void ex2_polishing(String[] args) { - NAGComplex pz = new NAGComplex(); - double delta, eps, err, fwderr, maxfwderr, maxrelerr, relerr, rmax; - int i, ifail, itmax, j, k, n = 0, polish; - - NAGComplex[] z = null, zact = null; - double[] a = null, berr = null, cond = null; - int[] conv = null; - boolean[] matched = null; - - System.out.println("\n Polishing Processes\n"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading and previous example in data file - for (i = 0; i <= 12; i++) { - reader.readLine(); - } - - // Read polynomial degree and allocate - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - - a = new double[n + 1]; - berr = new double[n]; - cond = new double[n]; - conv = new int[n]; - matched = new boolean[n]; - z = NAGComplex.createArray(n); - zact = NAGComplex.createArray(n); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Set known roots - for (i = 0; i < n; i++) { - zact[i] = new NAGComplex((double) (i + 1), 0.0); - } - - // Multiply out (z-1)(z-2)...(z-n) for coefficients - for (i = 0; i < n; i++) { - a[i] = 0.0; - } - a[n] = 1.0; - for (i = 0; i < n; i++) { - for (j = 0; j < n; j++) { - a[j] = a[j + 1] - a[j] * zact[i].getRe(); - } - a[n] = -a[n] * zact[i].getRe(); - } - - System.out.println(" polish relerr fwderr"); - System.out.println(" ----------------------------"); - - // Use different polish modes - X02AJ x02aj = new X02AJ(); - X02AL x02al = new X02AL(); - for (polish = 0; polish <= 2; polish++) { - - itmax = 30; - eps = x02aj.eval(); - rmax = x02al.eval(); - - // Find roots - ifail = 0; - C02AB c02ab = new C02AB(); - c02ab.eval(a, n , itmax, polish, z, berr, cond, conv, ifail); - - // Calculate the maximum relative errors of the roots, and the maximum - // forward error evaluating the polynomial at those roots. Errors are - // capped at machine precision. - maxrelerr = eps; - maxfwderr = eps; - Arrays.fill(matched, false); - - for (i = 0; i < n; i++) { - // Evaluate polynomial at this root - pz = new NAGComplex(a[0], 0.0); - for (j = 1; j <= n; j++) { - pz = z[i].multiply(pz).add(new NAGComplex(a[j], 0.0)); - } - - // Match to an expected root - k = 0; - err = rmax; - for (j = 0; j < n; j++) { - if (!matched[j]) { - delta = z[i].subtract(zact[j]).abs(); - if (delta <= err) { - err = delta; - k = j; - } - } - } - - // Mark as matched and update max errors - matched[k] = true; - relerr = err/zact[k].abs(); - fwderr = pz.abs(); - maxrelerr = Math.max(maxrelerr, relerr); - maxfwderr = Math.max(maxfwderr, fwderr); - } - - // Print output - System.out.printf(" %2d %10.2E%10.2E\n", polish, maxrelerr, maxfwderr); - - } - } -} diff --git a/simple_examples/C02AFJE.java b/simple_examples/C02AFJE.java deleted file mode 100644 index 6043be7..0000000 --- a/simple_examples/C02AFJE.java +++ /dev/null @@ -1,271 +0,0 @@ -import com.nag.routines.C02.C02AF; -import com.nag.routines.A02.A02AB; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X02.X02AL; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.util.Arrays; - -/** - * C02AF - */ -public class C02AFJE { - - public static final boolean scal = true; - - public static void main(String[] args) { - - System.out.println(" C02AFJ Example Program Results"); - - ex1(args); - - ex2(args); - } - - public static void ex1(String[] args) { - - int i, ifail, n = 0; - - double[][] a = null, z = null; - double[] w = null; - - System.out.println("\n\n Example 1"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading in data file - reader.readLine(); - reader.readLine(); - reader.readLine(); - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - - a = new double[2][n + 1]; - w = new double[4 * (n + 1)]; - z = new double[2][n]; - - for (i = 0; i <= n; i++) { - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - a[0][i] = Double.parseDouble(sVal[0]); - a[1][i] = Double.parseDouble(sVal[1]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = 0; - C02AF c02af = new C02AF(); - double[] a1d = convert2DTo1D(a); - double[] z1d = convert2DTo1D(z); - c02af.eval(a1d, n, scal, z1d, w, ifail); - - z = convert1DTo2D(z1d, 2); - - System.out.println(); - System.out.printf(" Degree of polynomial = %4d\n", n); - System.out.println(); - System.out.println(" Computed roots of polynomial"); - System.out.println(); - - for (i = 0; i < n; i++) { - System.out.printf(" z = %12.4E%+12.4E*i\n", z[0][i], z[1][i]); - } - - } - - public static void ex2(String[] args) { - - double deltac, deltai, di, eps, epsbar, f, r1, r2, r3, rmax; - int i, ifail, j, jmin = 0, n = 0; - - double[][] a = null, abar = null, z = null, zbar = null; - double[] r = null, w = null; - int[] m = null; - - System.out.println("\n\n Example 2"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading and previous example in data file - for (i = 0; i < 12; i++) { - reader.readLine(); - } - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - a = new double[2][n + 1]; - abar = new double[2][n + 1]; - r = new double[n]; - w = new double[4 * (n + 1)]; - z = new double[2][n]; - zbar = new double[2][n]; - m = new int[n]; - - // Read in the coefficients of the original polynomial. - for (i = 0; i <= n; i++) { - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - a[0][i] = Double.parseDouble(sVal[0]); - a[1][i] = Double.parseDouble(sVal[1]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Compute the roots of the original polynomial. - ifail = 0; - C02AF c02af = new C02AF(); - double[] a1d = convert2DTo1D(a); - double[] z1d = convert2DTo1D(z); - c02af.eval(a1d, n, scal, z1d, w, ifail); - - z = convert1DTo2D(z1d, 2); - - // Form the coefficients of the perturbed polynomial. - X02AJ x02aj = new X02AJ(); - eps = x02aj.eval(); - epsbar = 3.0 * eps; - - for (i = 0; i <= n; i++) { - if (a[0][i] != 0.0E0) { - f = 1.0E0 + epsbar; - epsbar = -epsbar; - abar[0][i] = f * a[0][i]; - - if (a[1][i] != 0.0E0) { - abar[1][i] = f * a[1][i]; - } else { - abar[1][i] = 0.0E0; - } - - } else { - - if (a[1][i] != 0.0E0) { - f = 1.0E0 + epsbar; - epsbar = -epsbar; - abar[1][i] = f * a[1][i]; - } else { - abar[1][i] = 0.0E0; - } - } - } - - // Compute the roots of the perturbed polynomial. - ifail = 0; - double[] abar1d = convert2DTo1D(abar); - double[] zbar1d = convert2DTo1D(zbar); - c02af.eval(abar1d, n, scal, zbar1d, w, ifail); - - zbar = convert1DTo2D(zbar1d, 2); - - // Perform error analysis. - - // Initialize markers to 0 (unmarked). - Arrays.fill(m, 0); - X02AL x02al = new X02AL(); - rmax = x02al.eval(); - - // Loop over all unperturbed roots (stored in Z). - A02AB a02ab = new A02AB(); - for (i = 0; i < n; i++) { - deltai = rmax; - r1 = a02ab.eval(z[0][i], z[1][i]); - - // Loop over all perturbed roots (stored in ZBAR). - for (j = 0; j < n; j++) { - // Compare the current unperturbed root to all unmarked - // perturbed roots. - - if (m[j] == 0) { - r2 = a02ab.eval(zbar[0][j], zbar[1][j]); - deltac = Math.abs(r1 - r2); - - if (deltac < deltai) { - deltai = deltac; - jmin = j; - } - } - } - - // Mark the selected perturbed root. - m[jmin] = 1; - - // Compute the relative error. - if (r1 != 0.0E0) { - r3 = a02ab.eval(zbar[0][jmin], zbar[1][jmin]); - di = Math.min(r1, r3); - r[i] = Math.max(deltai / Math.max(di, deltai / rmax), eps); - } else { - r[i] = 0.0E0; - } - } - - System.out.println(); - System.out.printf(" Degree of polynomial = %4d\n", n); - System.out.println(); - System.out.println(" Computed roots of polynomial Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < n; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", z[0][i], z[1][i], r[i]); - } - - } - - public static double[] convert2DTo1D(double[][] a) { - double[] b = new double[a.length * a[0].length]; - int n = a.length; - - for (int i = 0; i < a.length; i++) { - for (int j = 0; j < a[0].length; j++) { - b[i + j*n] = a[i][j]; - } - } - - return b; - } - - public static double[][] convert1DTo2D(double[] a, int n) { - double[][] b = new double[n][a.length / n]; - - for (int i = 0; i < b.length; i++) { - for (int j = 0; j < b[0].length; j++) { - b[i][j] = a[i + j*n]; - } - } - - return b; - } -} diff --git a/simple_examples/C02AGJE.java b/simple_examples/C02AGJE.java deleted file mode 100644 index c58e524..0000000 --- a/simple_examples/C02AGJE.java +++ /dev/null @@ -1,262 +0,0 @@ -import com.nag.routines.C02.C02AG; -import com.nag.routines.A02.A02AB; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X02.X02AL; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.util.Arrays; - -/** - * C02AG - */ -public class C02AGJE { - - public static final boolean scal = true; - - public static void main(String[] args) { - - System.out.println(" C02AGJ Example Program Results"); - - ex1(args); - - ex2(args); - } - - public static void ex1(String[] args) { - double zi, zr; - int i, ifail, n = 0, nroot; - - double[] a = null, w = null; - double[][] z = null; - - System.out.println("\n\n Example 1\n"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading in data file - reader.readLine(); - reader.readLine(); - reader.readLine(); - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - a = new double[n + 1]; - w = new double[2 * (n + 1)]; - z = new double[2][n]; - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i <= n; i++) { - a[i] = Double.parseDouble(sVal[i]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - System.out.println(); - System.out.printf(" Degree of polynomial = %4d\n", n); - System.out.println(); - - ifail = 0; - C02AG c02ag = new C02AG(); - double[] z1d = convert2DTo1D(z); - c02ag.eval(a, n, scal, z1d, w, ifail); - - z = convert1DTo2D(z1d, 2); - - System.out.println(" Computed roots of polynomial"); - System.out.println(); - - nroot = 0; - - while (nroot < n) { - zr = z[0][nroot]; - zi = z[1][nroot]; - if (zi == 0.0E0) { - System.out.printf(" z = %12.4E\n", zr); - nroot += 1; - } else { - System.out.printf(" z = %12.4E +/- %12.4E*i\n", zr, Math.abs(zi)); - nroot += 2; - } - } - } - - public static void ex2(String[] args) { - - double deltac, deltai, di, eps, epsbar, f, r1, r2, r3, rmax; - int i, ifail, j, jmin = 0, n = 0; - - double[] a = null, abar = null, r = null, w = null; - double[][] z = null, zbar = null; - int[] m = null; - - System.out.println("\n\n Example 2"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - - // Skip heading and previous example in data file - for (i = 0; i < 7; i++) { - reader.readLine(); - } - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - - a = new double[n+1]; - abar = new double[n+1]; - r = new double[n]; - w = new double[2 * (n+1)]; - z = new double[2][n]; - zbar = new double[2][n]; - m = new int[n]; - - // Read in the coefficients of the original polynomial. - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i <= n; i++) { - a[i] = Double.parseDouble(sVal[i]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Compute the roots of the original polynomial. - ifail = 0; - C02AG c02ag = new C02AG(); - double[] z1d = convert2DTo1D(z); - c02ag.eval(a, n, scal, z1d ,w, ifail); - - z = convert1DTo2D(z1d, 2); - - // Form the coefficients of the perturbed polynomial. - X02AJ x02aj = new X02AJ(); - eps = x02aj.eval(); - epsbar= 3.0 * eps; - - for (i = 0; i <= n; i++) { - if (a[i] != 0.0) { - f = 1.0 + epsbar; - epsbar = -epsbar; - abar[i] = f * a[i]; - } else { - abar[i] = 0.0E0; - } - } - - // Compute the roots of the perturbed polynomial. - ifail = 0; - double[] zbar1d = convert2DTo1D(zbar); - c02ag.eval(abar, n, scal, zbar1d, w, ifail); - - zbar = convert1DTo2D(zbar1d, 2); - - // Perform error analysis. - - // Initialize markers to 0 (unmarked). - Arrays.fill(m, 0); - - X02AL x02al = new X02AL(); - rmax = x02al.eval(); - - // Loop over all unperturbed roots (stored in Z). - A02AB a02ab = new A02AB(); - for (i = 0; i < n; i++) { - deltai = rmax; - r1 = a02ab.eval(z[0][i], z[1][i]); - - // Loop over all perturbed roots (stored in ZBAR). - for (j = 0; j < n; j++) { - // Compare the current unperturbed root to all unmarked - // perturbed roots. - - if (m[j] == 0) { - r2 = a02ab.eval(zbar[0][i], zbar[1][i]); - deltac = Math.abs(r1-r2); - - if (deltac < deltai) { - deltai = deltac; - jmin = j; - } - } - } - - // Mark the selected perturbed root. - m[jmin] = 1; - - // Compute the relative error. - if (r1 != 0.0E0) { - r3 = a02ab.eval(zbar[0][jmin], zbar[1][jmin]); - di = Math.min(r1, r3); - r[i] = Math.max(deltai / Math.max(di, deltai / rmax), eps); - } else { - r[i] = 0.0; - } - } - - System.out.println(); - System.out.printf(" Degree of polynomial = %4d\n", n); - System.out.println(); - System.out.println(" Computed roots of polynomial Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < n; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", z[0][i], z[1][i], r[i]); - } - } - - public static double[] convert2DTo1D(double[][] a) { - double[] b = new double[a.length * a[0].length]; - int n = a.length; - - for (int i = 0; i < a.length; i++) { - for (int j = 0; j < a[0].length; j++) { - b[i + j * n] = a[i][j]; - } - } - - return b; - } - - public static double[][] convert1DTo2D(double[] a, int n) { - double[][] b = new double[n][a.length / n]; - - for (int i = 0; i < b.length; i++) { - for (int j = 0; j < b[0].length; j++) { - b[i][j] = a[i + j * n]; - } - } - - return b; - } -} diff --git a/simple_examples/C02AHJE.java b/simple_examples/C02AHJE.java deleted file mode 100644 index b1e12cd..0000000 --- a/simple_examples/C02AHJE.java +++ /dev/null @@ -1,61 +0,0 @@ -import com.nag.routines.C02.C02AH; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AH - */ -public class C02AHJE { - - public static void main(String[] args) { - - double ai = 0, ar = 0, bi = 0, br = 0, ci = 0, cr = 0; - int ifail; - - double[] zlg = new double[2]; - double[] zsm = new double[2]; - - System.out.println(" C02AHJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - ar = Double.parseDouble(sVal[0]); - ai = Double.parseDouble(sVal[1]); - br = Double.parseDouble(sVal[2]); - bi = Double.parseDouble(sVal[3]); - cr = Double.parseDouble(sVal[4]); - ci = Double.parseDouble(sVal[5]); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = -1; - C02AH c02ah = new C02AH(); - c02ah.eval(ar, ai, br, bi, cr, ci, zsm, zlg, ifail); - ifail = c02ah.getIFAIL(); - - if (ifail == 0) { - System.out.println("\n Roots of quadratic equation\n"); - System.out.printf(" z = %12.4E%+14.4E*i\n", zsm[0], zsm[1]); - System.out.printf(" z = %12.4E%+14.4E*i\n", zlg[0], zlg[1]); - } - } -} diff --git a/simple_examples/C02AJJE.java b/simple_examples/C02AJJE.java deleted file mode 100644 index 64e3a5e..0000000 --- a/simple_examples/C02AJJE.java +++ /dev/null @@ -1,65 +0,0 @@ -import com.nag.routines.C02.C02AJ; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AJ - */ -public class C02AJJE { - - public static void main(String[] args) { - - double a = 0, b = 0, c = 0; - int ifail; - - double[] zlg = new double[2]; - double[] zsm = new double[2]; - - System.out.println(" C02AJJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - a = Double.parseDouble(sVal[0]); - b = Double.parseDouble(sVal[1]); - c = Double.parseDouble(sVal[2]); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = -1; - C02AJ c02aj = new C02AJ(); - c02aj.eval(a, b, c, zsm, zlg, ifail); - ifail = c02aj.getIFAIL(); - - if (ifail == 0) { - System.out.println("\n Roots of quadratic equation\n"); - - if (zsm[1] == 0.0E0) { - // 2 real roots. - System.out.printf(" z = %12.4E\n", zsm[0]); - System.out.printf(" z = %12.4E\n", zlg[0]); - } else { - // 2 complex roots. - System.out.printf(" z = %12.4E +/- %12.4E*i", zsm[0], Math.abs(zsm[1])); - } - } - } -} diff --git a/simple_examples/C02AKJE.java b/simple_examples/C02AKJE.java deleted file mode 100644 index 4a0579f..0000000 --- a/simple_examples/C02AKJE.java +++ /dev/null @@ -1,62 +0,0 @@ -import com.nag.routines.C02.C02AK; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AK - */ -public class C02AKJE { - - public static void main(String[] args) { - - double r = 0, s = 0, t = 0, u = 0; - int i, ifail; - - double[] errest = new double[3]; - double[] zeroi = new double[3]; - double[] zeror = new double[3]; - - System.out.println(" C02AKJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - u = Double.parseDouble(sVal[0]); - r = Double.parseDouble(sVal[1]); - s = Double.parseDouble(sVal[2]); - t = Double.parseDouble(sVal[3]); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = 0; - C02AK c02ak = new C02AK(); - c02ak.eval(u, r, s, t, zeror, zeroi, errest, ifail); - - System.out.println(); - System.out.println(" Roots of cubic equation Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < 3; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); - } - } -} diff --git a/simple_examples/C02ALJE.java b/simple_examples/C02ALJE.java deleted file mode 100644 index 4f9eac9..0000000 --- a/simple_examples/C02ALJE.java +++ /dev/null @@ -1,64 +0,0 @@ -import com.nag.routines.C02.C02AL; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AL - */ -public class C02ALJE { - - public static void main(String[] args) { - - double a = 0, b = 0, c = 0, d = 0, e = 0; - int i, ifail; - - double[] errest = new double[4]; - double[] zeroi = new double[4]; - double[] zeror = new double[4]; - - System.out.println(" C02ALJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - e = Double.parseDouble(sVal[0]); - a = Double.parseDouble(sVal[1]); - b = Double.parseDouble(sVal[2]); - c = Double.parseDouble(sVal[3]); - d = Double.parseDouble(sVal[4]); - - } catch (FileNotFoundException e_exception) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e_exception) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e_exception.getMessage()); - } - - ifail = 0; - C02AL c02al = new C02AL(); - c02al.eval(e, a, b, c, d, zeror, zeroi, errest, ifail); - ifail = c02al.getIFAIL(); - - System.out.println(); - System.out.println(" Roots of quartic equation Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < 4; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); - } - } -} diff --git a/simple_examples/C02AMJE.java b/simple_examples/C02AMJE.java deleted file mode 100644 index f1fffa4..0000000 --- a/simple_examples/C02AMJE.java +++ /dev/null @@ -1,75 +0,0 @@ -import com.nag.routines.C02.C02AM; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AM - */ -public class C02AMJE { - - public static void main(String[] args) { - - Routine.setComplex(new NAGComplex()); - - NAGComplex r = null, s = null, t = null, u = null; - int i, ifail; - - double[] errest = new double[3]; - double[] zeroi = new double[3]; - double[] zeror = new double[3]; - - System.out.println(" C02AMJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine().replaceAll("[(),]", ""); - String[] sVal = line.trim().split("\\s+"); - u = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - r = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - s = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - t = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = 0; - C02AM c02am = new C02AM(); - c02am.eval(u, r, s, t, zeror, zeroi, errest, ifail); - - System.out.println(); - System.out.println(" Roots of cubic equation Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < 3; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); - } - } -} diff --git a/simple_examples/C02ANJE.java b/simple_examples/C02ANJE.java deleted file mode 100644 index dc865e2..0000000 --- a/simple_examples/C02ANJE.java +++ /dev/null @@ -1,80 +0,0 @@ -import com.nag.routines.C02.C02AN; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C02AN - */ -public class C02ANJE { - - public static void main(String[] args) { - - Routine.setComplex(new NAGComplex()); - - NAGComplex a = null, b = null, c = null, d = null, e = null; - int i, ifail; - - double[] errest = new double[4]; - double[] zeroi = new double[4]; - double[] zeror = new double[4]; - - System.out.println(" C02ANJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - reader.readLine(); // Skip heading in data file - - String line = reader.readLine().replaceAll("[(),]", ""); - String[] sVal = line.trim().split("\\s+"); - e = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - a = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - b = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - c = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - line = reader.readLine().replaceAll("[(),]", ""); - sVal = line.trim().split("\\s+"); - d = new NAGComplex(Double.parseDouble(sVal[0]), Double.parseDouble(sVal[1])); - - } catch (FileNotFoundException e_exception) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e_exception) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e_exception.getMessage()); - } - - ifail = 0; - C02AN c02an = new C02AN(); - c02an.eval(e, a, b, c, d, zeror, zeroi, errest, ifail); - ifail = c02an.getIFAIL(); - - System.out.println(); - System.out.println(" Roots of quartic equation Error estimates"); - System.out.println(" (machine-dependent)"); - System.out.println(); - - for (i = 0; i < 4; i++) { - System.out.printf(" z = %12.4E%+12.4E*i %9.1E\n", zeror[i], zeroi[i], errest[i]); - } - } -} diff --git a/simple_examples/C05AUJE.java b/simple_examples/C05AUJE.java deleted file mode 100644 index d2b09b1..0000000 --- a/simple_examples/C05AUJE.java +++ /dev/null @@ -1,67 +0,0 @@ -import com.nag.routines.C05.C05AU; - -/** - * C05AUJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class C05AUJE{ - - /** - * C05AUJ main program - */ - public static void main(String[] args){ - double a = 0, b = 0, eps, eta, h, x; //placeholders - int ifail; - double[] ruser; - int[] iuser; - - ruser = new double[1]; //need to initialise before passing to wrapper - iuser = new int[1]; - - System.out.println("C05AUJ Example Program Results"); - - x = 1; - h = 0.1; - eps = 0.00001; - eta = 0; - - //Instance of class f to pass to wrapper - f f1 = new f(); - - ifail = -1; - C05AU c05au = new C05AU(x, h, eps, eta, f1, a, b, iuser, ruser, ifail); - c05au.eval(); - - //update values - x = c05au.getX(); - a = c05au.getA(); - b = c05au.getB(); - ifail = c05au.getIFAIL(); - - System.out.println(); - - switch(ifail){ - case 0: - System.out.printf("Root is : \t%.5f\n", x); - System.out.printf("Interval searched is : \t[ %.5f, %.5f]\n", a, b); - break; - case 3: - case 4: - System.out.printf("Final value = %.5f\n", x); - break; - } - } - - /** - * Extends abstract class C05AU.Abstract_C05AU_F. eval() returns the value of the function at a given x. - * eval() must be implemented by the user. - * @return x - e^x - */ - public static class f extends C05AU.Abstract_C05AU_F{ - public double eval(){ - return(this.X - Math.exp(-this.X)); - } - } -} - diff --git a/simple_examples/C05AWJE.java b/simple_examples/C05AWJE.java deleted file mode 100644 index 6ea3c9f..0000000 --- a/simple_examples/C05AWJE.java +++ /dev/null @@ -1,59 +0,0 @@ -import com.nag.routines.C05.C05AW; - -public class C05AWJE{ - - public static void main(String[] args){ - double eps, eta, x; - int ifail, nfmax; - double[] ruser; - int[] iuser; - - ruser = new double[1]; - iuser = new int[1]; - - System.out.println("C05AWJ Example Program Results"); - System.out.println(); - - boolean finished = false; - for(int i = 3; i <= 4; i++){ - eps = Math.pow(10, -i); - x = 1; - eta = 0; - nfmax = 200; - - ifail = -1; - f f1 = new f(); - C05AW c05aw = new C05AW(x, eps, eta, f1, nfmax, iuser, ruser, ifail); - c05aw.eval(); - - ifail = c05aw.getIFAIL(); - x = c05aw.getX(); - eps = c05aw.getEPS(); - - switch(ifail){ - case(0): - System.out.printf("With eps = %.2e root = %.5f\n", eps, x); - break; - case(-1): - //exit loop - finished = true; - break; - case(3): - case(4): - System.out.printf("With eps = %.2e root = %.5f\n", eps, x); - break; - } - if(finished){ - break; - } - } - } - - public static class f extends C05AW.Abstract_C05AW_F{ - public double eval(){ - return(Math.exp(-X) - X); - } - } -} - - diff --git a/simple_examples/C05AYJE.java b/simple_examples/C05AYJE.java deleted file mode 100644 index c9ee43b..0000000 --- a/simple_examples/C05AYJE.java +++ /dev/null @@ -1,44 +0,0 @@ -import com.nag.routines.C05.C05AY; - -/** - * C05AY example program text. - */ -public class C05AYJE { - - public static void main(String[] args) { - - C05AY c05ay = new C05AY(); - OBJFUN f = new OBJFUN(); - double a = 0.0, b = 1.0, eps = 1.0e-5, eta = 0.0, x = 0.0; - int ifail = 0; - int[] iuser = new int[1]; - double[] ruser = new double[1]; - - System.out.println("C05AYJ Example Program Results"); - System.out.println(); - - c05ay.eval(a, b, eps, eta, f, x, iuser, ruser, ifail); - x = c05ay.getX(); - - switch (ifail) { - case 0: - System.out.printf("Zero at x = %12.5f\n", x); - break; - case 2: case 3: - System.out.printf("Final point = %12.5f\n", x); - break; - default: - System.out.println("Unexpected ifail = " + ifail); - } - - } - - private static class OBJFUN extends C05AY.Abstract_C05AY_F { - - public double eval() { - return Math.exp(-X) - X; - } - - } - -} diff --git a/simple_examples/C05AZJE.java b/simple_examples/C05AZJE.java deleted file mode 100644 index 7c3e27e..0000000 --- a/simple_examples/C05AZJE.java +++ /dev/null @@ -1,65 +0,0 @@ -import com.nag.routines.C05.C05AZ; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * C05AZ example program text. - */ -public class C05AZJE { - - public static void main(String[] args) { - double tolx = 0.00001, x = 0.0, y = 1.0, fx; - int ir = 0, ind = 1, ifail = -1; - double[] c = new double[17]; - boolean keepOn = true; - - - C05AZ c05az = new C05AZ(); - fx = fun(x); - int ite = 0; - - System.out.println(" C05AZJ Example Program Results\n"); - System.out.println(" Iterations\n"); - - while (keepOn) { - ++ite; - - c05az.eval(x,y,fx,tolx,ir,c,ind,ifail); - - x = c05az.getX(); - y = c05az.getY(); - tolx = c05az.getTOLX(); - ir = c05az.getIR(); - ind = c05az.getIND(); - ifail = c05az.getIFAIL(); - if (ind == 0) { - keepOn = false; - } - else { - fx = fun(x); - System.out.printf(" X = %7.5f FX = %11.4E IND = %1d\n", x, fx, ind); - } - - } - - switch (ifail) { - case 0: - System.out.println("\n Solution\n"); - System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); - break; - case 4: - case 5: - System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); - break; - default: - System.out.printf("Unexpected error ifail=%d\n",ifail); - } - - } - - private static double fun(double x) { - double res = (Math.expm1(-x) + 1) - x; - return res; - } - -} diff --git a/simple_examples/C05BBJE.java b/simple_examples/C05BBJE.java deleted file mode 100644 index 4723773..0000000 --- a/simple_examples/C05BBJE.java +++ /dev/null @@ -1,89 +0,0 @@ -import com.nag.routines.C05.C05BB; -import com.nag.types.NAGComplex; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C05BBJ Example program text. - * @author willa - * @since 27.1.0.0 - */ -public class C05BBJE{ - - /** - * C05BBJE main program text - */ - public static void main(String[] args){ - NAGComplex w, z; - double resid = 0; - int branch = 0, ifail = 0; //placeholder - boolean offset = false; //placeholder - - //need to initialise first - z = new NAGComplex(); - w = new NAGComplex(); - - System.out.println("C05BBJ Example Program Results"); - - if(args.length != 1){ - System.out.println("Please specify path to data file as input"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - branch = Integer.parseInt(sVal[0]); - - line = reader.readLine(); - sVal = line.split("\\s+"); - offset = Boolean.parseBoolean(sVal[0]); - - System.out.printf("Branch = %d\n", branch); - System.out.printf("Offset = %b\n", offset); - - System.out.println(); - System.out.printf("\t\tZ\t\t\tW(Z)\t\t\t\tRESID\tIFAIL\n"); - System.out.println(); - - while(true){ - line = reader.readLine(); - if(line == null){ - break; - } - sVal = line.split("\\s+"); - - z.setRe(Double.parseDouble(sVal[0])); - z.setIm(Double.parseDouble(sVal[1])); - - ifail = -1; - C05BB c05bb = new C05BB(branch, offset, z, w, resid, ifail); - c05bb.eval(); - - z = (NAGComplex) c05bb.getZ(); - w = (NAGComplex) c05bb.getW(); - resid = c05bb.getRESID(); - ifail = c05bb.getIFAIL(); - - if(ifail < 0){ - break; - } - - System.out.printf("(%.5e, %.5e)\t (%.5e, %.5e)\t %.5e\t %d\n", z.getRe(), z.getIm(), w.getRe(), w.getIm(), resid, ifail); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} diff --git a/simple_examples/C05MBJE.java b/simple_examples/C05MBJE.java deleted file mode 100644 index 9b46ff5..0000000 --- a/simple_examples/C05MBJE.java +++ /dev/null @@ -1,95 +0,0 @@ -import com.nag.routines.C05.C05MB; -import com.nag.routines.F06.DNRM2; -import com.nag.routines.X02.X02AJ; - -/** - * C05MBJ example program text. - * - * @author joed - * @since 27.0.0.0 - * - */ -public class C05MBJE { - - private static final int n = 4; - - private static class FCN extends C05MB.Abstract_C05MB_FCN { - - public void eval() { - - FVEC[0] = Math.cos(X[2]) - X[0]; - FVEC[1] = Math.sqrt(1.0 - Math.pow(X[3],2)) - X[1]; - FVEC[2] = Math.sin(X[0]) - X[2]; - FVEC[3] = Math.pow(X[1], 2) - X[3]; - - // Set iflag negative to terminate execution for any reason - IFLAG = 0; - - return; - - } - - } - - /** - * C05MBJ example main program. - */ - public static void main(String[] args) { - - C05MB c05mb = new C05MB(); - DNRM2 dnrm2 = new DNRM2(); - X02AJ x02aj = new X02AJ(); - FCN fcn = new FCN(); - long cpuser; - double atol, cndtol, fnorm, machpr, rtol; - int astart, i, ifail, m; - double[] fvec, x; - double[] ruser = new double[1]; - int[] iuser = new int[1]; - - System.out.println("C05MBJ Example Program Results\n"); - - // Get machine precision from X02AJ - machpr = (new X02AJ()).eval(); - - fvec = new double[n]; - x = new double[n]; - - // The following starting values provide a rough solution - x = new double[]{2.0, 0.5, 2.0, 0.5}; - - m = 2; - atol = Math.sqrt(machpr); - rtol = Math.sqrt(machpr); - cndtol = 0.0; - astart = 0; - cpuser = 0; - - ifail = -1; - c05mb.eval(fcn, n, x, fvec, atol, rtol, m, cndtol, astart, iuser, ruser, - cpuser, ifail); - ifail = c05mb.getIFAIL(); - - if (ifail == 0 || ifail == 8 || ifail == 9) { - if (ifail == 0) { - // The NAG name equivalent of dnrm2 is f06ej - fnorm = dnrm2.eval(n, fvec, 1); - System.out.println(); - System.out.printf("Final 2-norm of the residuals = %12.4e\n", fnorm); - System.out.println(); - System.out.println("Final approximate solution"); - } - else { - System.out.println(); - System.out.println("Approximate solution"); - } - System.out.println(); - for (i = 1; i <= n; i++) { - System.out.printf("%12.4f", x[i-1]); - } - System.out.printf("\n"); - } - - } - -} diff --git a/simple_examples/C05QBJE.java b/simple_examples/C05QBJE.java deleted file mode 100644 index 4b93405..0000000 --- a/simple_examples/C05QBJE.java +++ /dev/null @@ -1,167 +0,0 @@ -import com.nag.routines.C05.C05QB; -import com.nag.routines.F06.DNRM2; -import com.nag.routines.X02.X02AJ; - -/** - * C05QB example program text. - * @author ludovic - */ -public class C05QBJE { - - public static void main(String[] args) { - - C05QB c05qb = new C05QB(); - - System.out.println(" C05QBJ Example Program Results"); - - int n = 9, ifail = -1; - - double xtol, fnorm; - - int[] IUSER = new int[1]; - double[] fvec = new double[n]; - double[] x = new double[n]; - double[] RUSER = new double[1]; - - - FCN fcn = new FCN(); - - for (int i = 0; i < n; ++i) { - x[i] = -1.0; - } - xtol = Math.sqrt((new X02AJ()).eval()); - - c05qb.eval(fcn, n, x, fvec, xtol, IUSER, RUSER, ifail); - - ifail = c05qb.getIFAIL(); - - switch (ifail) { - case (0): - fnorm = (new DNRM2(n, fvec, 1)).eval(); - System.out.println(); - System.out.printf(" Final 2-norm of the residuals = %11.4E\n", fnorm); - System.out.println(); - System.out.println(" Final approximate solution"); - int count = 0; - for (int i = 0; i < n; ++i) { - System.out.printf(" %12.4f", x[i]); - ++count; - if (count == 3) { - System.out.println(); - count = 0; - } - } - break; - case (2): - case (3): - case (4): - System.out.println("Approximate solution"); - count = 0; - for (int i = 0; i < n; ++i) { - System.out.printf(" %12.4f", x[i]); - ++count; - if (count == 3) { - System.out.println(); - count = 0; - } - } - break; - } - - } - - public static class FCN implements C05QB.C05QB_FCN { - - private int N, IFLAG; - private double[] X, FVEC, RUSER; - private int[] IUSER; - - @Override - public void setN(int N) { - this.N = N; - } - - @Override - public int getN() { - return N; - } - - @Override - public void setX(double[] X) { - this.X = X; - } - - @Override - public double[] getX() { - return X; - } - - @Override - public void setFVEC(double[] FVEC) { - this.FVEC = FVEC; - } - - @Override - public double[] getFVEC() { - return FVEC; - } - - @Override - public void setIUSER(int[] IUSER) { - this.IUSER = IUSER; - } - - @Override - public int[] getIUSER() { - return IUSER; - } - - @Override - public void setRUSER(double[] RUSER) { - this.RUSER = RUSER; - } - - @Override - public double[] getRUSER() { - return RUSER; - } - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void eval(int N, double[] X, double[] FVEC, int[] IUSER, double[] RUSER, int IFLAG) { - - /* - * fvec(1:n) = (3.0_nag_wp-2.0_nag_wp*x(1:n))*x(1:n) + 1.0_nag_wp - * fvec(2:n) = fvec(2:n) - x(1:(n-1)) - * fvec(1:(n-1)) = fvec(1:(n-1)) - 2.0_nag_wp*x(2:n) - */ - for (int i = 0; i < N; ++i) { - FVEC[i] = (3.0 - 2.0 * X[i]) * X[i] + 1.0; - /*if (i >= 1) { - FVEC[i] = FVEC[i] - X[i - 1]; - } - if (i < N - 1) { - FVEC[i] = FVEC[i] - 2.0 * X[i + 1]; - }*/ - } - for (int i = 1; i < N; ++i) { - FVEC[i] = FVEC[i] - X[i - 1]; - } - for (int i = 0; i < N-1; ++i) { - FVEC[i] = FVEC[i] - 2.0 * X[i + 1]; - } - - } - - } - -} diff --git a/simple_examples/C06BAJE.java b/simple_examples/C06BAJE.java deleted file mode 100644 index 541d4d3..0000000 --- a/simple_examples/C06BAJE.java +++ /dev/null @@ -1,56 +0,0 @@ -import com.nag.routines.C06.C06BA; -import com.nag.routines.X01.X01AA; - -/** - * C06BAJ example program text. - * @author willa - */ -public class C06BAJE{ - - public static void main(String[] args){ - int lwork = 16, nout = 6; - int ifail, ncall; - double abserr = 0.0, ans, error, pi = 0.0, r, result = 0.0, seqn, sig; - double[] work; - - C06BA c06ba = new C06BA(); - work = new double[lwork]; - - System.out.println("C06BAJ Example Program Results"); - System.out.println(); - - X01AA x01aa = new X01AA(pi); - pi = x01aa.eval(); - - ans = Math.pow(pi, 2)/12.0; - ncall = 0; - sig = 1.0; - seqn = 0.0; - System.out.println("\t\t\t Estimated\t Actual"); - System.out.println("I\t SEQN \t RESULT\t abs error\t error"); - System.out.println(); - - for(int i = 0; i < 10; i++){ - r = (double) i + 1; - seqn = seqn + sig/Math.pow(r, 2); - - ifail = 0; - c06ba.eval(seqn, ncall, result, abserr, work, lwork, ifail); - - //update variables - ncall = c06ba.getNCALL(); - result = c06ba.getRESULT(); - abserr = c06ba.getABSERR(); - - error = result - ans; - sig = -sig; - - if(i <= 2){ - System.out.printf("%d\t %.4f\t %.4f\t -\t\t %.2e\n", (i + 1), seqn, result, error); - } - else{ - System.out.printf("%d\t %.4f\t %.4f\t %.2e\t %.2e\n", (i + 1), seqn, result, abserr, error); - } - } - } -} diff --git a/simple_examples/C06FKJE.java b/simple_examples/C06FKJE.java deleted file mode 100644 index 58db62f..0000000 --- a/simple_examples/C06FKJE.java +++ /dev/null @@ -1,91 +0,0 @@ -import com.nag.routines.C06.C06FK; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C06FKJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class C06FKJE{ - - /** - * C06FKJE main program - */ - public static void main(String[] args){ - int ifail = 0, n = 0; //placeholder - double[] work, xa, xb, ya, yb; - - work = new double[0]; - xa = new double[0]; - xb = new double[0]; - ya = new double[0]; - yb = new double[0]; //placeholders - - System.out.println("C06FKJ Example Program Results"); - System.out.println(); - - //Supply file path as argument - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //Loop until break... - while(true){ - line = reader.readLine(); - //Break when the end of the file is reached - if(line == null){ - break; - } - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[0]); - - work = new double[n]; - xa = new double[n]; - xb = new double[n]; - ya = new double[n]; - yb = new double[n]; - - for(int i = 0; i < n; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - xa[i] = Double.parseDouble(sVal[0]); - xb[i] = xa[i]; - ya[i] = Double.parseDouble(sVal[1]); - yb[i] = ya[i]; - } - - ifail = 0; - - C06FK c06fk1 = new C06FK(1, xa, ya, n, work, ifail); - c06fk1.eval(); - xa = c06fk1.getX(); - C06FK c06fk2 = new C06FK(2, xb, yb, n, work, ifail); - c06fk2.eval(); - xb = c06fk2.getX(); - - System.out.printf("\tCovolution \tCorrelation\n"); - System.out.println(); - - for(int i = 0; i < n; i++){ - System.out.printf("%d\t%.5f\t\t%.5f\n", i, xa[i], xb[i]); - } - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} diff --git a/simple_examples/C09AAJE.java b/simple_examples/C09AAJE.java deleted file mode 100644 index 48c38b6..0000000 --- a/simple_examples/C09AAJE.java +++ /dev/null @@ -1,158 +0,0 @@ -import com.nag.routines.C09.C09AA; -import com.nag.routines.C09.C09CC; -import com.nag.routines.C09.C09CD; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * C09AAJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class C09AAJE{ - - /** - * C09AAJ example main program - */ - public static void main(String[] args){ - int ifail, lenc = 0, n = 0, nf = 0, nnz, nwc = 0, nwlmax = 0, ny; //placeholders - String mode = "", wavnam = "", wtrans; //placeholders - int[] dwtlev, icomm; - double[] c, x, y; - - x = new double[0]; y = new double[0]; //placeholders - - //print error message if no data file given - if(args.length != 1){ - C09AAJE.usage(); - } - - icomm = new int[100]; - - System.out.println("C09AAJ Example Program Results"); - System.out.println(); - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[1]); - - line = reader.readLine(); - sVal = line.split("\\s+"); - wavnam = sVal[1]; - mode = sVal[2]; - - x = new double[n]; - y = new double[n]; - - System.out.printf("Parameters read from file :: \n \tWavelet : %s \tEnd mode : %s \t N = %d\n", wavnam, mode, n); - - System.out.println("Input data \tX : "); - for(int i = 0; i < n; i++){ - line = reader.readLine(); - //Avoid errors with data file format and negative numbers - line = " " + line; - sVal = line.split("\\s+"); - x[i] = Double.parseDouble(sVal[1]); - System.out.printf("%.3f\t", x[i]); - } - System.out.printf("\n"); - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - //Query wavelet filter dimensions - //For Multi-Resolution analysis ,decomposition, wrtrans = 'M' - wtrans = "Multilevel"; - - //ifail: behaviour on error exit - // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft - ifail = 0; - C09AA c09aa = new C09AA(wavnam, wtrans, mode, n, nwlmax, nf, nwc, icomm, ifail); - c09aa.eval(); - - nwc = c09aa.getNWC(); - nwlmax = c09aa.getNWLMAX(); - lenc = nwc; - c = new double[lenc]; - dwtlev = new int[nwlmax + 1]; - - icomm = c09aa.getICOMM(); - ifail = 0; - //Perform discrete wavelet transform - C09CC c09cc = new C09CC(n, x, lenc, c, nwlmax, dwtlev, icomm, ifail); - c09cc.eval(); - - nf = c09aa.getNF(); - nwlmax = c09cc.getNWL(); - dwtlev = c09cc.getDWTLEV(); - c = c09cc.getC(); - - System.out.println(); - System.out.printf("Length of wavelet filter : \t%d\n", nf); - System.out.printf("Number of Levels : \t%d\n", nwlmax); - System.out.printf("Number of coefficients in each level: \n\t\t"); - for(int i = 0; i <= nwlmax; i++){ - System.out.printf("%d\t ", dwtlev[i]); - } - System.out.printf("\n"); - System.out.printf("Total number of wavelength coefficients : %d\n", nwc); - nnz = arraySum(dwtlev); - System.out.println(); - System.out.println("Wavelet coefficients C:"); - for(int i = 0; i < nnz; i++){ - System.out.printf("%.3f ", c[i]); - } - System.out.printf("\n"); - - //Reconstruct original data - ny = n; - - ifail = 0; - lenc = c09cc.getLENC(); - icomm = c09cc.getICOMM(); - C09CD c09cd = new C09CD(nwlmax, lenc, c, ny, y, icomm, ifail); - c09cd.eval(); - - y = c09cd.getY(); - System.out.println(); - System.out.printf("Reconstruction \tY : \n"); - for(int i = 0; i < ny; i++){ - System.out.printf("%.3f ", y[i]); - } - System.out.printf("\n"); - } - - /** - * Finds the sum of all integers in an array - * @param a - * Array to sum - * @return total - */ - private static int arraySum(int[] a){ - int tot = 0; - for(int i = 0; i < a.length; i++){ - tot += a[i]; - } - return tot; - } - - /** - * No arguments supplied when exmaple runs - */ - private static void usage(){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} diff --git a/simple_examples/D01BDJE.java b/simple_examples/D01BDJE.java deleted file mode 100644 index 8659cc4..0000000 --- a/simple_examples/D01BDJE.java +++ /dev/null @@ -1,58 +0,0 @@ -import com.nag.routines.D01.D01BD; - -/** - * D01BD example program text. - */ -public class D01BDJE { - - public static void main(String[] args) { - - double a = 0.0, b = 1.0; - double epsabs = 0.0, epsrel = 0.0001; - double result = Double.NaN; - double abserr = Double.NaN; - FUN fun = new FUN(); - D01BD d01bd = new D01BD(fun, a, b, epsabs, epsrel, result, abserr); - - d01bd.eval(); - result = d01bd.getRESULT(); - abserr = d01bd.getABSERR(); - - System.out.println(" D01BDJ Example Program Results"); - - System.out.println(); - System.out.printf(" A - lower limit of integration = %10.4f\n",a); - System.out.printf(" B - upper limit of integration = %10.4f\n",b); - System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); - System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); - System.out.println(); - System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); - System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); - System.out.println(); - - if (abserr > Math.max(epsabs,epsrel*Math.abs(result))) { - System.out.println("Warning - requested accuracy may not have been achieved"); - } - - } - - - public static class FUN implements D01BD.D01BD_F { - - private double x; - - public double eval(double x) { - return (x * x * Math.sin(10.0 * Math.PI * x)); - } - - public double getX() { - return x; - } - - public void setX(double d) { - x = d; - } - - } - -} diff --git a/simple_examples/D01RJJE.java b/simple_examples/D01RJJE.java deleted file mode 100644 index 9eee98a..0000000 --- a/simple_examples/D01RJJE.java +++ /dev/null @@ -1,184 +0,0 @@ -import com.nag.routines.D01.D01RJ; -import com.nag.routines.X01.X01AA; -import java.util.Arrays; - -/** - * D01RJ example program text. - * @author Mo - */ -public class D01RJJE { - - public static void main(String[] args) { - - double pi = 0.0; - double a, b, epsabs, epsrel; - double result = Double.NaN; - double abserr = Double.NaN; - double[] rinfo, ruser; - int [] iinfo, iuser; - int ifail, liinfo, lrinfo, maxsub; - long cpuser; // c_ptr - F f = new F(); - - /* Header */ - System.out.println(" D01RJJ Example Program Results"); - - X01AA x01aa = new X01AA(pi); - pi = x01aa.eval(); - a = 0.0; - b = 2.0*pi; - epsabs = 0.0; - epsrel = 0.0001; - maxsub = 20; - lrinfo = 4*maxsub; - liinfo = Math.max(maxsub,4); - - rinfo = new double[lrinfo]; - iinfo = new int[liinfo]; - iuser = new int[0]; - ruser = new double[0]; - - iuser = new int[] {0}; - /* pass constant to f through ruser */ - ruser = new double[] {4.0*Math.pow(pi,2)}; - cpuser = 0L; - - D01RJ d01rj = new D01RJ(); - ifail = -1; - d01rj.eval(f, a, b, epsabs, epsrel, maxsub, result, abserr, - rinfo, iinfo, iuser, ruser, cpuser, ifail); - result = d01rj.getRESULT(); - abserr = d01rj.getABSERR(); - ifail = d01rj.getIFAIL(); - - if (ifail >= 0) { - System.out.println(); - System.out.printf(" A - lower limit of integration = %9.4f\n",a); - System.out.printf(" B - upper limit of integration = %9.4f\n",b); - System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); - System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); - System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); - System.out.println(); - if (ifail <= 5) { - System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); - System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); - System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); - System.out.println(); - } - else if (ifail == -1) { - /* User requested exit */ - System.out.printf(" Exit requested from F with IFLAG %4d\n",iuser[0]); - System.out.println(); - } - - } - - } - - public static class F implements D01RJ.D01RJ_F { - - private int NX, IFLAG; - private double[] X, FV, RUSER; - private int[] IUSER; - private long CPUSER; - - @Override - public void setX(double[] X) { - this.X = X; - } - - @Override - public double[] getX() { - return X; - } - - @Override - public void setNX(int NX) { - this.NX = NX; - } - - @Override - public int getNX() { - return NX; - } - - @Override - public void setFV(double[] FV) { - this.FV = FV; - } - - @Override - public double[] getFV() { - return FV; - } - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void setIUSER(int[] IUSER) { - this.IUSER = IUSER; - } - - @Override - public int[] getIUSER() { - return IUSER; - } - - @Override - public void setRUSER(double[] RUSER) { - this.RUSER = RUSER; - } - - @Override - public double[] getRUSER() { - return RUSER; - } - - @Override - public void setCPUSER(long CPUSER) { - this.CPUSER = CPUSER; - } - - @Override - public long getCPUSER() { - return CPUSER; - } - - @Override - public void eval(double[] X, int NX, double[] FV, int IFLAG, - int[] IUSER, double[] RUSER, long CPUSER) { - - for (int i = 0; i < NX; i++) { - FV[i] = 0.0; - } - - for (int i = 0; i < NX; i++) { - if (X[i] == 1.0) { - /* An undefined result will be generated. */ - /* Set iflag to force an immediate exit */ - IFLAG = -1; - /* Store chosen value of iflag in iuser */ - IUSER[0] = IFLAG; - } - } - if (IFLAG != -1) { - for (int j = 0; j < NX; j++) { - FV[j] = X[j] * Math.sin(30.0 * X[j])/ - Math.sqrt(1.0 - Math.pow(X[j],2)/RUSER[0]); - } - } - return; - - } - - } - -} diff --git a/simple_examples/D01RKJE.java b/simple_examples/D01RKJE.java deleted file mode 100644 index 20c0501..0000000 --- a/simple_examples/D01RKJE.java +++ /dev/null @@ -1,173 +0,0 @@ -import com.nag.routines.D01.D01RK; -import com.nag.routines.X01.X01AA; -import java.util.Arrays; - -/** - * D01RK example program text. - * @author Mo - */ -public class D01RKJE { - - public static void main(String[] args) { - - double pi = 0.0; - double a, b, epsabs, epsrel; - double result = Double.NaN; - double abserr = Double.NaN; - double[] rinfo, ruser; - int [] iinfo, iuser; - int ifail, key, liinfo, lrinfo, maxsub; - long cpuser; // c_ptr - F f = new F(); - - /* Header */ - System.out.println(" D01RKJ Example Program Results"); - - key = 6; - X01AA x01aa = new X01AA(pi); - pi = x01aa.eval(); - a = 0.0; - b = 2.0*pi; - epsabs = 0.0; - epsrel = 0.0001; - maxsub = 20; - lrinfo = 4*maxsub; - liinfo = Math.max(maxsub,4); - - rinfo = new double[lrinfo]; - iinfo = new int[liinfo]; - iuser = new int[0]; - ruser = new double[0]; - - iuser = new int[] {0}; - ruser = new double[] {4.0*Math.pow(pi,2)}; - cpuser = 0L; - - D01RK d01rk = new D01RK(); - ifail = -1; - d01rk.eval(f, a, b, key, epsabs, epsrel, maxsub, result, abserr, - rinfo, iinfo, iuser, ruser, cpuser, ifail); - result = d01rk.getRESULT(); - abserr = d01rk.getABSERR(); - ifail = d01rk.getIFAIL(); - - if (ifail >= 0) { - System.out.println(); - System.out.printf(" A - lower limit of integration = %9.4f\n",a); - System.out.printf(" B - upper limit of integration = %9.4f\n",b); - System.out.printf(" KEY - choice of Gaussian rule = %4d\n",key); - System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); - System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); - System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); - System.out.println(); - if (ifail <= 5) { - System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); - System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); - System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); - System.out.println(); - } - else if (ifail == -1) { - /* User requested exit */ - System.out.printf(" Exit requested from F \n"); - System.out.println(); - } - - } - - } - - public static class F implements D01RK.D01RK_F { - - private int NX, IFLAG; - private double[] X, FV, RUSER; - private int[] IUSER; - private long CPUSER; - - @Override - public void setX(double[] X) { - this.X = X; - } - - @Override - public double[] getX() { - return X; - } - - @Override - public void setNX(int NX) { - this.NX = NX; - } - - @Override - public int getNX() { - return NX; - } - - @Override - public void setFV(double[] FV) { - this.FV = FV; - } - - @Override - public double[] getFV() { - return FV; - } - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void setIUSER(int[] IUSER) { - this.IUSER = IUSER; - } - - @Override - public int[] getIUSER() { - return IUSER; - } - - @Override - public void setRUSER(double[] RUSER) { - this.RUSER = RUSER; - } - - @Override - public double[] getRUSER() { - return RUSER; - } - - @Override - public void setCPUSER(long CPUSER) { - this.CPUSER = CPUSER; - } - - @Override - public long getCPUSER() { - return CPUSER; - } - - @Override - public void eval(double[] X, int NX, double[] FV, int IFLAG, - int[] IUSER, double[] RUSER, long CPUSER) { - - for (int i = 0; i < NX; i++) { - FV[i] = 0.0; - } - - for (int j = 0; j < NX; j++) { - FV[j] = X[j] * Math.sin(30.0 * X[j]) * Math.cos(X[j]); - } - return; - - } - - } - -} diff --git a/simple_examples/D01RLJE.java b/simple_examples/D01RLJE.java deleted file mode 100644 index c8a6d0e..0000000 --- a/simple_examples/D01RLJE.java +++ /dev/null @@ -1,196 +0,0 @@ -import com.nag.routines.D01.D01RL; -import java.util.Arrays; - -/** - * D01RL example program text. - * @author Mo - */ -public class D01RLJE { - - public static void main(String[] args) { - - double a, b, epsabs, epsrel; - double result = Double.NaN; - double abserr = Double.NaN; - double[] points, rinfo, ruser; - int [] iinfo, iuser; - int ifail, liinfo, lrinfo, maxsub, npts; - long cpuser; // c_ptr - F f = new F(); - - /* Header */ - System.out.println(" D01RLJ Example Program Results"); - - epsabs = 0.0; - epsrel = 0.0001; - a = 0.0; - b = 1.0; - npts = 1; - maxsub = 20; - liinfo = 2*Math.max(maxsub,npts) + npts + 4; - lrinfo = 4*Math.max(maxsub,npts) + npts + 6; - - points = new double[npts]; - rinfo = new double[lrinfo]; - iinfo = new int[liinfo]; - iuser = new int[0]; - ruser = new double[21]; - - points[0] = 1.0/7.0; - iuser = new int[] {0}; - ruser = new double[] {0.0}; - cpuser = 0L; - - D01RL d01rl = new D01RL(); - ifail = -1; - d01rl.eval(f, a, b, npts, points, epsabs, epsrel, maxsub, result, abserr, - rinfo, iinfo, iuser, ruser, cpuser, ifail); - points = d01rl.getPOINTS(); - result = d01rl.getRESULT(); - abserr = d01rl.getABSERR(); - ifail = d01rl.getIFAIL(); - - if (ifail >= 0) { - System.out.println(); - System.out.printf(" A - lower limit of integration = %9.4f\n",a); - System.out.printf(" B - upper limit of integration = %9.4f\n",b); - System.out.printf(" POINT(1) - given break-point = %9.4f\n",points[0]); - System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); - System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); - System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); - System.out.println(); - if (ifail <= 5) { - System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); - System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); - System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); - System.out.println(); - } - else if (ifail == -1) { - /* User requested exit */ - System.out.printf(" Exit requested from F"); - System.out.println(); - } - - } - - } - - public static class F implements D01RL.D01RL_F { - - private int NX, IFLAG; - private double[] X, FV, RUSER; - private int[] IUSER; - private long CPUSER; - - @Override - public void setX(double[] X) { - this.X = X; - } - - @Override - public double[] getX() { - return X; - } - - @Override - public void setNX(int NX) { - this.NX = NX; - } - - @Override - public int getNX() { - return NX; - } - - @Override - public void setFV(double[] FV) { - this.FV = FV; - } - - @Override - public double[] getFV() { - return FV; - } - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void setIUSER(int[] IUSER) { - this.IUSER = IUSER; - } - - @Override - public int[] getIUSER() { - return IUSER; - } - - @Override - public void setRUSER(double[] RUSER) { - this.RUSER = RUSER; - } - - @Override - public double[] getRUSER() { - return RUSER; - } - - @Override - public void setCPUSER(long CPUSER) { - this.CPUSER = CPUSER; - } - - @Override - public long getCPUSER() { - return CPUSER; - } - - @Override - public void eval(double[] X, int NX, double[] FV, int IFLAG, - int[] IUSER, double[] RUSER, long CPUSER) { - - /*for (int i = 0; i < NX; i++) {*/ - /*FV[i] = 0.0;*/ - /*}*/ - - for (int i = 0; i < NX; i++) { - FV[i] = Math.abs(X[i] - 1.0/7.0); - } - - for (int i = 0; i < NX; i++) { - if (FV[i] == 0.0) { - /* A singular point will be hit. */ - /* Record offending abscissae and abort computation. */ - IFLAG = 0; - for (int k = 0; k < NX; k++) { - if (FV[k] == 0.0) { - IFLAG = IFLAG + 1; - RUSER[IFLAG-1] = X[k]; - } - } - /* Store value of iflag in iuser */ - IUSER[0] = IFLAG; - /* signal abort by setting iflag<0 */ - IFLAG = -IFLAG; - } - } - if (IFLAG == 0) { - /* Safe to evaluate. */ - for (int j = 0; j < NX; j++) { - FV[j] = 1.0/Math.sqrt(FV[j]); - } - } - return; - - } - - } - -} diff --git a/simple_examples/D01RMJE.java b/simple_examples/D01RMJE.java deleted file mode 100644 index 6e80b2b..0000000 --- a/simple_examples/D01RMJE.java +++ /dev/null @@ -1,163 +0,0 @@ -import com.nag.routines.D01.D01RM; -import java.util.Arrays; - -/** - * D01RM example program text. - * @author Mo - */ -public class D01RMJE { - - public static void main(String[] args) { - - double bound, epsabs, epsrel; - double result = Double.NaN; - double abserr = Double.NaN; - double[] rinfo, ruser; - int [] iinfo, iuser; - int ifail, inf, liinfo, lrinfo, maxsub; - long cpuser; // c_ptr - F f = new F(); - - /* Header */ - System.out.println(" D01RMJ Example Program Results"); - - bound = 0.0; - inf = 1; - epsabs = 0.0; - epsrel = 0.0001; - maxsub = 20; - lrinfo = 4*maxsub; - liinfo = Math.max(maxsub,4); - - rinfo = new double[lrinfo]; - iinfo = new int[liinfo]; - iuser = new int[0]; - ruser = new double[0]; - - iuser = new int[] {0}; - ruser = new double[] {0.0}; - cpuser = 0L; - - D01RM d01rm = new D01RM(); - ifail = -1; - d01rm.eval(f, bound, inf, epsabs, epsrel, maxsub, result, abserr, - rinfo, iinfo, iuser, ruser, cpuser, ifail); - result = d01rm.getRESULT(); - abserr = d01rm.getABSERR(); - ifail = d01rm.getIFAIL(); - - if (ifail >= 0) { - System.out.println(); - System.out.printf(" A - lower limit of integration = %9.4f\n",bound); - System.out.println(" B - upper limit of integration = infinity\n"); - System.out.printf(" EPSABS - absolute accuracy requested = %9.2E\n",epsabs); - System.out.printf(" EPSREL - relative accuracy requested = %9.2E\n",epsrel); - System.out.printf(" MAXSUB - maximum number of subintervals = %4d\n",maxsub); - System.out.println(); - if (ifail <= 5) { - System.out.printf(" RESULT - approximation to the integral = %9.5f\n",result); - System.out.printf(" ABSERR - estimate to the absolute error = %9.2E\n",abserr); - System.out.printf(" IINFO(1) - number of subintervals used = %4d\n",iinfo[0]); - System.out.println(); - } - else if (ifail == -1) { - /* User requested exit */ - System.out.printf(" Exit requested from F \n"); - System.out.println(); - } - - } - - } - - public static class F implements D01RM.D01RM_F { - - private int NX, IFLAG; - private double[] X, FV, RUSER; - private int[] IUSER; - private long CPUSER; - - @Override - public void setX(double[] X) { - this.X = X; - } - - @Override - public double[] getX() { - return X; - } - - @Override - public void setNX(int NX) { - this.NX = NX; - } - - @Override - public int getNX() { - return NX; - } - - @Override - public void setFV(double[] FV) { - this.FV = FV; - } - - @Override - public double[] getFV() { - return FV; - } - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void setIUSER(int[] IUSER) { - this.IUSER = IUSER; - } - - @Override - public int[] getIUSER() { - return IUSER; - } - - @Override - public void setRUSER(double[] RUSER) { - this.RUSER = RUSER; - } - - @Override - public double[] getRUSER() { - return RUSER; - } - - @Override - public void setCPUSER(long CPUSER) { - this.CPUSER = CPUSER; - } - - @Override - public long getCPUSER() { - return CPUSER; - } - - @Override - public void eval(double[] X, int NX, double[] FV, int IFLAG, - int[] IUSER, double[] RUSER, long CPUSER) { - - for (int j = 0; j < NX; j++) { - FV[j] = 1.0/((X[j] + 1.0) * Math.sqrt(X[j])); - } - return; - - } - - } - -} diff --git a/simple_examples/D01TCJE.java b/simple_examples/D01TCJE.java deleted file mode 100644 index cde8428..0000000 --- a/simple_examples/D01TCJE.java +++ /dev/null @@ -1,45 +0,0 @@ -import com.nag.routines.D01.D01TC; -import java.util.Arrays; - -/** - * D01TC example program text. - * @author Mo - */ -public class D01TCJE { - - public static void main(String[] args) { - - double a, b, c, d; - double[] abscis, weight; - int n, ifail, itype; - - /* Header */ - System.out.println(" D01TCJ Example Program Results"); - - n = 7; - a = 0.0; - b = 1.0; - c = 0.0; - d = 0.0; - itype = -3; - - abscis = new double[n]; - weight = new double[n]; - - D01TC d01tc = new D01TC(); - ifail = 0; - d01tc.eval(itype, a, b, c, d, n, weight, abscis, ifail); - abscis= d01tc.getABSCIS(); - weight = d01tc.getWEIGHT(); - - System.out.println(); - System.out.printf(" Laguerre formula, %2d points\n",n); - System.out.println(); - System.out.println(" Abscissae Weights\n"); - for (int j = 0; j < n; j++) { - System.out.printf("%15.5E %15.5E\n", abscis[j], weight[j]); - } - - } - -} diff --git a/simple_examples/D02NEJE.java b/simple_examples/D02NEJE.java deleted file mode 100644 index 3d90bb8..0000000 --- a/simple_examples/D02NEJE.java +++ /dev/null @@ -1,388 +0,0 @@ -import com.nag.routines.D02.D02MC; -import com.nag.routines.D02.D02MW; -import com.nag.routines.D02.D02NE; -import com.nag.routines.D02.D02NEZ; -import com.nag.routines.D02.D02NP; -import java.util.Arrays; - -/** - * D02NE example program text. - * @author joed - */ -public class D02NEJE { - - public static final double ALPHA = 0.04; - public static final double BETA = 1.0E4; - public static final double GAMMA = 3.0E7; - public static final int ML = 1; - public static final int MU = 2; - public static final int NEQ1 = 3; - public static final int NEQ2 = 1; - - public static JAC1 jac1 = new JAC1(); - public static JAC2 jac2 = new JAC2(); - public static RES1 res1 = new RES1(); - public static RES2 res2 = new RES2(); - - public static void main(String[] args) { - - System.out.println(" D02NEJ Example Program Results"); - - ex1(); - ex2(); - - } - - private static void ex1() { - - D02MC d02mc = new D02MC(); - D02MW d02mw = new D02MW(); - D02NE d02ne = new D02NE(); - D02NP d02np = new D02NP(); - double h0, hmax, t, tout; - int ifail, ijac, itask, itol, lcom, licom, maxord, neq; - String jceval; // length 8 - double[] atol, com, rtol, y, ydot, ruser; - int[] icom, iuser; - - ruser = new double[1]; - iuser = new int[3]; - - System.out.println(); - System.out.println(" D02NEF Example 1"); - System.out.println(); - - maxord = 5; - - neq = NEQ1; - lcom = 40 + (maxord + 4) * neq + (2 * ML + MU + 1) * neq - + 2 * (neq / (ML + MU + 1) + 1); - licom = 50 + neq; - - atol = new double[neq]; - com = new double[lcom]; - rtol = new double[neq]; - y = new double[neq]; - ydot = new double[neq]; - icom = new int[licom]; - - ijac = 1; - itol = 1; - Arrays.fill(rtol, 1.0E-3); - Arrays.fill(atol, 1.0E-6); - Arrays.fill(ydot, 0.0); - - // String length = 8 - jceval = (ijac == 1) ? "Analytic" : "Numeric "; - - // Set initial values - y[0] = 1.0; - y[1] = 0.0; - y[2] = 0.0; - - // Initialize the problem, specifying that the Jacobian is to be - // evaluated analytically using the provided routine jac. - hmax = 0.0; - h0 = 0.0; - t = 0.0; - tout = 0.02; - ifail = 0; - d02mw.eval( - neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail - ); - ifail = d02mw.getIFAIL(); - - // Specify that the Jacobian is banded. - ifail = 0; - d02np.eval(neq, ML, MU, icom, licom, ifail); - ifail = d02np.getIFAIL(); - - // Use the iuser array to pass the band dimensions through to jac. - // An alternative would be to hard code values for ml and mu in jac. - iuser[0] = ML; - iuser[1] = MU; - iuser[2] = ijac; - - System.out.printf(" t "); - for (int i = 1; i <= neq; i++) { - System.out.printf(" Y(%1d) ", i); - } - System.out.println(); - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - itask = 0; - - // Obtain the solution at 5 equally spaced values of T. - for (int j = 0; j < 5; j++) { - ifail = -1; - d02ne.eval( - neq, t, tout, y, ydot, rtol, atol, itask, res1, jac1, icom, - com, lcom, iuser, ruser, ifail - ); - itask = d02ne.getITASK(); - ifail = d02ne.getIFAIL(); - t = d02ne.getT(); - - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - if (ifail != 0) { - System.out.printf( - " ** D02NEF returned with IFAIL = %5d\n", ifail - ); - break; - } - - tout += 0.02; - d02mc.eval(icom); - - } - - System.out.println(); - System.out.printf( - " The integrator completed task, ITASK = %4d\n", itask - ); - - } - - private static void ex2() { - D02MC d02mc = new D02MC(); - D02MW d02mw = new D02MW(); - D02NE d02ne = new D02NE(); - double h0, hmax, t, tout; - int ifail, ijac, itask, itol, lcom, licom, maxord, neq; - String jceval; // length 8 - double[] atol, com, rtol, y, ydot, ruser; - int[] icom, iuser; - - ruser = new double[1]; - iuser = new int[1]; - - System.out.println(); - System.out.println(" D02NEF Example 2"); - System.out.println(); - - maxord = 5; - neq = NEQ2; - lcom = 40 + (maxord + 4) * neq + neq * neq; - licom = 50 + neq; - - atol = new double[neq]; - com = new double[lcom]; - rtol = new double[neq]; - y = new double[neq]; - ydot = new double[neq]; - icom = new int[licom]; - - ijac = 1; - itol = 1; - rtol[0] = 0.0; - atol[0] = 1.0E-8; - ydot[0] = 0.0; - - // String length = 8 - jceval = (ijac == 1) ? "Analytic" : "Numeric "; - - // Initialize the problem, specifying that the Jacobian is to be - // evaluated analytically using the provided routine jac. - y[0] = 2.0; - hmax = 0.0; - h0 = 0.0; - t = 0.0; - tout = 0.2; - - ifail = 0; - d02mw.eval( - neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail - ); - ifail = d02mw.getIFAIL(); - - // Use the iuser array to pass whether numerical or analytic Jacobian - // is to be used. - iuser[0] = ijac; - - System.out.printf(" t "); - for (int i = 1; i <= neq; i++) { - System.out.printf(" y(%1d) ", i); - } - System.out.println(); - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - itask = 0; - - for (int j = 0; j < 5; j++) { - ifail = -1; - d02ne.eval( - neq, t, tout, y, ydot, rtol, atol, itask, res2, jac2, icom, - com, lcom, iuser, ruser, ifail - ); - itask = d02ne.getITASK(); - ifail = d02ne.getIFAIL(); - t = d02ne.getT(); - - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - if (ifail != 0) { - System.out.printf( - " ** D02NEF returned with IFAIL = %5d\n", ifail - ); - break; - } - - tout += 0.2; - d02mc.eval(icom); - - } - - System.out.println(); - System.out.printf( - " The integrator completed task, ITASK = %4d\n", itask - ); - - } - - /** - * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based - * Java index. - * - *

    Fortran array definition: - * a(dimX, *) - * - *

    Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return ((y-1) * dimX) + (x-1); - } - - public static class RES1 extends D02NE.Abstract_D02NE_RES { - - public void eval() { - - this.R[0] = -(ALPHA * this.Y[0]) + (BETA * this.Y[1] * this.Y[2]) - - this.YDOT[0]; - this.R[1] = (ALPHA * this.Y[0]) - (BETA * this.Y[1] * this.Y[2]) - - (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[1]; - this.R[2] = (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[2]; - - } - - } - - public static class JAC1 extends D02NE.Abstract_D02NE_JAC { - - private double[] myjac1( - int neq, int ml, int mu, double t, double[] y, double[] ydot, - double[] pd, double cj - ) { - - int md, ms, pdDim1; - - pdDim1 = (2 * ml) + mu + 1; - - // Main diagonal pdfull(i,i), i=1, neq - md = mu + ml + 1; - pd[getIdx(md, 1, pdDim1)] = -ALPHA - cj; - pd[getIdx(md, 2, pdDim1)] = (-BETA * y[2]) - (2.0 * GAMMA * y[1]) - - cj; - pd[getIdx(md, 3, pdDim1)] = -cj; - - // 1 subdiagonal pdfull(i-1,i), i=2, neq - ms = md + 1; - pd[getIdx(ms, 1, pdDim1)] = ALPHA; - pd[getIdx(ms, 2, pdDim1)] = 2.0 * GAMMA * y[1]; - - // First superdiagonal pdfull(i-1,i), i=2, neq - ms = md - 1; - pd[getIdx(ms, 2, pdDim1)] = BETA * y[2]; - pd[getIdx(ms, 3, pdDim1)] = -BETA * y[1]; - - // Second superdiagonal pdfull(i-2,i), i=3, neq - ms = md - 2; - pd[getIdx(ms, 3, pdDim1)] = BETA * y[1]; - - return pd; - - } - - public void eval() { - D02NEZ d02nez = new D02NEZ(); - int ijac, ml, mu; - - ml = this.IUSER[0]; - mu = this.IUSER[1]; - ijac = this.IUSER[2]; - - if (ijac == 1) { - myjac1( - this.NEQ, ml, mu, this.T, this.Y, this.YDOT, this.PD, - this.CJ - ); - } - else { - d02nez.eval( - this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, - this.IUSER, this.RUSER - ); - } - - } - - } - - public static class RES2 extends D02NE.Abstract_D02NE_RES { - - public void eval() { - this.R[0] = 4.0 - Math.pow(this.Y[0], 2.0) - + (this.T * 0.1E0 * Math.exp(this.Y[0])); - } - - } - - public static class JAC2 extends D02NE.Abstract_D02NE_JAC { - - private void myjac2( - int neq, double t, double[] y, double[] ydot, double[] pd, - double cj - ) { - - pd[0] = -(2.0 * y[0]) + (0.1E0 * t * y[0] * Math.exp(y[0])); - - } - - public void eval() { - D02NEZ d02nez = new D02NEZ(); - int ijac; - - ijac = this.IUSER[0]; - - if (ijac == 1) { - myjac2(this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ); - } - else { - d02nez.eval( - this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, - this.IUSER, this.RUSER - ); - } - - } - - } - -} diff --git a/simple_examples/D02TLJE.java b/simple_examples/D02TLJE.java deleted file mode 100644 index 9333518..0000000 --- a/simple_examples/D02TLJE.java +++ /dev/null @@ -1,290 +0,0 @@ -import com.nag.routines.D02.D02TL; -import com.nag.routines.D02.D02TV; -import com.nag.routines.D02.D02TX; -import com.nag.routines.D02.D02TY; -import com.nag.routines.D02.D02TZ; -import java.util.Arrays; - -/** - * D02TL example program text. - * @author joed - */ -public class D02TLJE { - - public static final int MMAX = 3, NEQ = 3, NLBC = 3, NRBC = 3; - - public static double omega, sqrofr; - public static int[] m = {1, 3, 2}; - - public static FFUN ffun = new FFUN(); - public static FJAC fjac = new FJAC(); - public static GAFUN gafun = new GAFUN(); - public static GAJAC gajac = new GAJAC(); - public static GBFUN gbfun = new GBFUN(); - public static GBJAC gbjac = new GBJAC(); - public static GUESS guess = new GUESS(); - - public static void main(String[] args) { - - D02TL d02tl = new D02TL(); - D02TV d02tv = new D02TV(); - D02TX d02tx = new D02TX(); - D02TY d02ty = new D02TY(); - D02TZ d02tz = new D02TZ(); - double dx, ermx, r; - int iermx, ifail, ijermx, licomm, lrcomm, mxmesh, ncol, ncont, - nmesh; - double[] mesh, rcomm, tol, y, ruser = new double[1]; - int[] icomm, ipmesh, iuser = new int[2]; - - System.out.println(" D02TLJ Example Program Results"); - System.out.println(); - - ncol = 7; - nmesh = 11; - mxmesh = 51; - - mesh = new double[mxmesh]; - tol = new double[NEQ]; - y = new double[NEQ * MMAX]; - ipmesh = new int[mxmesh]; - - omega = 1.0; - Arrays.fill(tol, 1.0E-4); - - dx = 1.0 / ((double) nmesh - 1); - - mesh[0] = 0.0; - for (int i = 1; i < nmesh - 1; i++) { - mesh[i] = mesh[i - 1] + dx; - } - mesh[nmesh - 1] = 1.0; - - ipmesh[0] = 1; - Arrays.fill(ipmesh, 1, nmesh - 1, 2); - ipmesh[nmesh - 1] = 1; - - // Workspace query to get size of rcomm and icomm - ifail = 0; - d02tv.eval( - NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, ruser, - 0, iuser, 2, ifail - ); - ifail = d02tv.getIFAIL(); - lrcomm = iuser[0]; - licomm = iuser[1]; - rcomm = new double[lrcomm]; - icomm = new int[licomm]; - - // Initialise integrator for given problem - ifail = 0; - d02tv.eval( - NEQ, m, NLBC, NRBC, ncol, tol, mxmesh, nmesh, mesh, ipmesh, rcomm, - lrcomm, icomm, licomm, ifail - ); - ifail = d02tv.getIFAIL(); - - ncont = 3; - r = 1.0E6; - - sqrofr = Math.sqrt(r); - - ermx = 0.0; - iermx = 0; - ijermx = 0; - - for (int j = 0; j < ncont; j++) { - System.out.printf("\n Tolerance = %8.1E R = %10.3E\n", tol[0], r); - - // Solve problem - ifail = -1; - d02tl.eval( - ffun, fjac, gafun, gbfun, gajac, gbjac, guess, rcomm, icomm, - iuser, ruser, ifail - ); - ifail = d02tl.getIFAIL(); - if (ifail != 0) { - System.err.println("D02TL failed with error code " + ifail); - } - - // Extract mesh - ifail = -1; - d02tz.eval( - mxmesh, nmesh, mesh, ipmesh, ermx, iermx, ijermx, rcomm, icomm, - ifail - ); - nmesh = d02tz.getNMESH(); - iermx = d02tz.getIERMX(); - ijermx = d02tz.getIJERMX(); - ermx = d02tz.getERMX(); - ifail = d02tz.getIFAIL(); - if (ifail == 1) { - break; - } - - // Print mesh, error stats - System.out.printf( - "\n" - + " Used a mesh of %4d points\n" - + " Maximum error = %10.2E in interval %4d for component %4d\n" - + "\n", - nmesh, ermx, iermx, ijermx - ); - System.out.printf("\n Mesh points:\n"); - for (int i = 0; i < nmesh; i++) { - System.out.printf("%4d(%1d)%10.3E", i+1, ipmesh[i], mesh[i]); - if ((i+1) % 4 == 0) { - System.out.printf("\n"); - } - } - System.out.printf("\n"); - - // Print solution components on mesh - System.out.printf("\n x f f\' g\n"); - for (int i = 0; i < nmesh; i++) { - ifail = 0; - d02ty.eval(mesh[i], y, NEQ, MMAX, rcomm, icomm, ifail); - ifail = d02ty.getIFAIL(); - System.out.printf( - " %8.3f %9.4f%9.4f%9.4f\n", mesh[i], y[getIdx(1, 0, NEQ)], - y[getIdx(2, 0, NEQ)], y[getIdx(3, 0, NEQ)] - ); - } - - if (j == ncont - 1) { - break; - } - - // Modify continuation parameter - r = 100.0 * r; - sqrofr = Math.sqrt(r); - - // Select mesh for continuation - Arrays.fill(ipmesh, 1, nmesh - 1, 2); - - // Call continuation primer routine - ifail = 0; - d02tx.eval(mxmesh, nmesh, mesh, ipmesh, rcomm, icomm, ifail); - mxmesh = d02tx.getMXMESH(); - nmesh = d02tx.getNMESH(); - ifail = d02tx.getIFAIL(); - - } - - } - - /** - * Converts a 2D Fortran index to the 1D index for its corresponding Java - * array. Assumes y is already zero-based. - * - *

    Fortran array definition: - * a(dimX, 0:*) - * - *

    Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return (y * dimX) + (x-1); - } - - /** - * Converts a 3D Fortran index to the 1D index for its corresponding Java - * array. Assumes z is already zero-based. - * - *

    Fortran array definition: - * a(dimX, dimY, 0:*) - * - *

    Conversion: - * a(x, y, z) --> A[result] - */ - private static int getIdx(int x, int y, int z, int dimX, int dimY) { - return (z * dimY * dimX) + ((y-1) * dimX) + (x-1); - } - - public static class FFUN extends D02TL.Abstract_D02TL_FFUN { - - public void eval() { - F[0] = Y[getIdx(2, 0, NEQ)]; - F[1] = -((Y[getIdx(1, 0, NEQ)] * Y[getIdx(2, 2, NEQ)]) - + (Y[getIdx(3, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; - F[2] = ((Y[getIdx(2, 0, NEQ)] * Y[getIdx(3, 0, NEQ)]) - - (Y[getIdx(1, 0, NEQ)] * Y[getIdx(3, 1, NEQ)])) * sqrofr; - } - - } - - public static class FJAC extends D02TL.Abstract_D02TL_FJAC { - - public void eval() { - DFDY[getIdx(1, 2, 0, NEQ, NEQ)] = 1.0; - DFDY[getIdx(2, 1, 0, NEQ, NEQ)] = -Y[getIdx(2, 2, NEQ)] * sqrofr; - DFDY[getIdx(2, 2, 2, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; - DFDY[getIdx(2, 3, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; - DFDY[getIdx(2, 3, 1, NEQ, NEQ)] = -Y[getIdx(3, 0, NEQ)] * sqrofr; - DFDY[getIdx(3, 1, 0, NEQ, NEQ)] = -Y[getIdx(3, 1, NEQ)] * sqrofr; - DFDY[getIdx(3, 2, 0, NEQ, NEQ)] = Y[getIdx(3, 0, NEQ)] * sqrofr; - DFDY[getIdx(3, 3, 0, NEQ, NEQ)] = Y[getIdx(2, 0, NEQ)] * sqrofr; - DFDY[getIdx(3, 3, 1, NEQ, NEQ)] = -Y[getIdx(1, 0, NEQ)] * sqrofr; - } - - } - - public static class GAFUN extends D02TL.Abstract_D02TL_GAFUN { - - public void eval() { - GA[0] = YA[getIdx(1, 0, NEQ)]; - GA[1] = YA[getIdx(2, 0, NEQ)]; - GA[2] = YA[getIdx(3, 0, NEQ)] - omega; - } - - } - - public static class GBFUN extends D02TL.Abstract_D02TL_GBFUN { - - public void eval() { - GB[0] = YB[getIdx(1, 0, NEQ)]; - GB[1] = YB[getIdx(2, 0, NEQ)]; - GB[2] = YB[getIdx(3, 0, NEQ)] + omega; - } - - } - - public static class GAJAC extends D02TL.Abstract_D02TL_GAJAC { - - public void eval() { - DGADY[getIdx(1, 1, 0, NLBC, NEQ)] = 1.0; - DGADY[getIdx(2, 2, 0, NLBC, NEQ)] = 1.0; - DGADY[getIdx(3, 3, 0, NLBC, NEQ)] = 1.0; - } - - } - - public static class GBJAC extends D02TL.Abstract_D02TL_GBJAC { - - public void eval() { - DGBDY[getIdx(1, 1, 0, NRBC, NEQ)] = 1.0; - DGBDY[getIdx(2, 2, 0, NRBC, NEQ)] = 1.0; - DGBDY[getIdx(3, 3, 0, NRBC, NEQ)] = 1.0; - } - - } - - public static class GUESS extends D02TL.Abstract_D02TL_GUESS { - - public void eval() { - Y[getIdx(1, 0, NEQ)] = -(X - 0.5) * Math.pow(X * (X - 1.0), 2.0); - Y[getIdx(2, 0, NEQ)] = -X * (X - 1.0) - * (5.0 * X * (X - 1.0) + 1.0); - Y[getIdx(2, 1, NEQ)] = -(2.0 * X - 1.0) - * (10.0 * X * (X - 1.0) + 1.0); - Y[getIdx(2, 2, NEQ)] = -12.0 * (5.0 * X * (X - 1.0) + 1.0); - Y[getIdx(3, 0, NEQ)] = -8.0 * omega * Math.pow(X - 0.5, 3.0); - Y[getIdx(3, 1, NEQ)] = -24.0 * omega * Math.pow(X - 0.5, 2.0); - DYM[0] = Y[getIdx(2, 0, NEQ)]; - DYM[1] = -120.0 * (X - 0.5); - DYM[2] = -56.0 * omega * (X - 0.5); - } - - } - -} diff --git a/simple_examples/D03PCJE.java b/simple_examples/D03PCJE.java deleted file mode 100644 index 4901e2e..0000000 --- a/simple_examples/D03PCJE.java +++ /dev/null @@ -1,217 +0,0 @@ -import com.nag.routines.D03.D03PC; -import com.nag.routines.D03.D03PZ; -import com.nag.routines.X01.X01AA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.lang.StringBuilder; - -/** - * D03PCJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class D03PCJE{ - - /** - * D03PCJE main program - */ - public static void main(String[] args){ - int ifail, ind, intpts = 0, it, itask, itrace = 0, itype = 0, lisave, lrsave, m = 0, neqn, npts = 0, nwk, npde = 2; - double hx, pi, piby2, tout = 0, ts = 0, acc = 0, alpha = 0; - int[] isave, iuser, iwsav; - double[] rsave, u, uout, x, xout, ruser, rwsav; - boolean[] lwsav; - String[] cwsav; - - xout = new double[0]; // placeholders - ruser = new double[1]; - rwsav = new double[1100]; - iuser = new int[1]; - iwsav = new int[505]; - lwsav = new boolean[100]; - cwsav = new String[10]; - - System.out.println("D03PCJ Example Program Results"); - - //Specify path to data file - if(args.length != 1){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - intpts = Integer.parseInt(sVal[0]); - npts = Integer.parseInt(sVal[1]); - itype = Integer.parseInt(sVal[2]); - - xout = new double[intpts]; - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int i = 0; i < intpts; i++){ - xout[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.split("\\s+"); - acc = Double.parseDouble(sVal[0]); - alpha = Double.parseDouble(sVal[1]); - - line = reader.readLine(); - sVal = line.split("\\s+"); - m = Integer.parseInt(sVal[0]); - itrace = Integer.parseInt(sVal[1]); - - line = reader.readLine(); - sVal = line.split("\\s+"); - ts = Double.parseDouble(sVal[0]); - tout = Double.parseDouble(sVal[1]); - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - neqn = npde * npts; - lisave = neqn + 24; - nwk = (10 + (6 * npde)) * neqn; - lrsave = nwk + ((21 + (3 * npde)) * npde) + (7 * npts) + 54; - - rsave = new double[lrsave]; - u = new double[npde * npts]; - uout = new double[npde * intpts * itype]; - x = new double[npts]; - isave = new int[lisave]; - ruser[0] = alpha; - ind = 0; - itask = 1; - - X01AA x01aa = new X01AA(); - pi = x01aa.eval(); - piby2 = 0.5 * pi; - hx = piby2/(double)(npts - 1); - x[0] = 0.0; - x[npts - 1] = 1.0; - for(int i = 1; i < (npts - 1); i++){ - x[i] = Math.sin(hx * (double)(i)); - } - - u = uinit(x, npts, iuser, ruser); - - //Character (80) :: cwsav(10) - //Surely a better way of doing this? - for(int i = 0; i < 10; i++){ - StringBuilder builder = new StringBuilder(""); - for(int j = 0; j < 80; j++){ - builder.append(" "); - } - cwsav[i] = builder.toString(); - } - - for(int i = 0; i <5; i++){ - tout = 10 * tout; - - ifail = 0; - pdedef pdedef1 = new pdedef(); - bndary bndary1 = new bndary(); - D03PC d03pc = new D03PC(npde, m, ts, tout, pdedef1, bndary1, u, npts, x, acc, rsave, lrsave, - isave, lisave, itask, itrace, ind, iuser, ruser, cwsav, lwsav, iwsav, - rwsav, ifail); - d03pc.eval(); - - //update ind - ind = d03pc.getIND(); - - if(i == 0){ - System.out.printf("Accuracy requirement = \t%.5e\n Parameter ALPHA = \t%.3e\n", acc, alpha); - System.out.printf("T / X "); - for(int j = 0; j < xout.length; j++){ - System.out.printf("\t%.4f", xout[j]); - } - System.out.printf("\n"); - } - System.out.println(); - - //Interpolate at required spatial points - ifail = 0; - - D03PZ d03pz = new D03PZ(npde, m, u, npts, x, xout, intpts, itype, uout, ifail); - d03pz.eval(); - - System.out.printf("%.4f \tU(1)", tout); - for(int j = 0; j < intpts; j++){ - System.out.printf("\t%.4f ", uout[j * 2]); - } - System.out.printf("\n"); - System.out.printf("\tU(2)"); - for(int j = 0; j < intpts; j++){ - System.out.printf("\t%.4f ", uout[j * 2 + 1]); - } - System.out.printf("\n"); - System.out.println(); - } - - System.out.printf("Number of Integration steps in time\t\t\t%d\n", isave[0]); - System.out.printf("Number of residual evaluations of resulting ODE system\t%d\n", isave[1]); - System.out.printf("Number of Jacobian evaluations\t\t\t\t%d\n", isave[2]); - System.out.printf("Number of iterations of nonlinear solver\t\t%d\n", isave[4]); - } - - /** - * PDE initial condition - */ - public static double[] uinit(double[] x, int npts, int[] iuser, double[] ruser){ - double alpha = ruser[0]; - double[] u = new double[2 * npts]; - for(int i = 0; i < npts; i++){ - u[2 * i] = 2 * alpha * x[i]; - u[(2 * i) + 1] = 1; - } - return u; - } - - public static class pdedef extends D03PC.Abstract_D03PC_PDEDEF{ - public void eval(){ - double alpha = this.RUSER[0]; - this.Q[0] = 4 * alpha * (this.U[1] + (this.X * this.UX[1])); - this.Q[1] = 0; - this.R[0] = this.X * this.UX[0]; - this.R[1] = this.UX[1] - (this.U[0] * this.U[1]); - this.P[0] = 0; - this.P[1] = 0; - this.P[2] = 0; - this.P[3] = 1 - (this.X * this.X); - } - } - - public static class bndary extends D03PC.Abstract_D03PC_BNDARY{ - public void eval(){ - if(this.IBND == 0){ - this.BETA[0] = 0; - this.BETA[1] = 1; - this.GAMMA[0] = this.U[0]; - this.GAMMA[1] = -this.U[0] * this.U[1]; - } - else{ - this.BETA[0] = 1; - this.BETA[1] = 0; - this.GAMMA[0] = -this.U[0]; - this.GAMMA[1] = this.U[1]; - } - } - } - -} - - - diff --git a/simple_examples/D03RAJE.java b/simple_examples/D03RAJE.java deleted file mode 100644 index 03c2e3b..0000000 --- a/simple_examples/D03RAJE.java +++ /dev/null @@ -1,307 +0,0 @@ -import com.nag.routines.D03.D03RA; -import com.nag.routines.D03.D03RA.D03RA_BNDARY; -import com.nag.routines.D03.D03RA.D03RA_MONITR; -import com.nag.routines.X01.X01AA; -import com.nag.routines.X02.X02AJ; -import java.util.Arrays; - -/** - * D03RA example program text. - * @author joed - */ -public class D03RAJE { - - public static final double ALPHA = 50.0; - public static final double BETA = 300.0; - public static final double XMAX = 1.0; - public static final double XMIN = 0.0; - public static final double YMAX = 1.0; - public static final double YMIN = 0.0; - public static final int ITRACE = 0; - public static final int NPDE = 1; - - public static D03RA d03ra = new D03RA(); - public static PDEDEF pdedef = new PDEDEF(); - public static BNDRY bndry = new BNDRY(); - public static PDEIV pdeiv = new PDEIV(); - public static MONIT monit = new MONIT(); - public static MONITDUMMY monitDummy = new MONITDUMMY(); - - public static void main(String[] args) { - double tols, tolt, tout, ts; - int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, npde, npts, nx, ny; - double[] dt, twant, optr, rwk; - int[] wklens, iwk, opti = new int[4]; - boolean[] lwk; - - // Run examples - System.out.println(" D03RAJ Example Program Results"); - System.out.println(); - - npts = 2000; - npde = NPDE; - - dt = new double[] {0.1e-2, 0.0, 0.0}; - twant = new double[] {0.24, 0.25}; - ts = 0.0; - - ind = 10; - nx = 41; - ny = 41; - tols = 0.5; - tolt = 0.01; - Arrays.fill(opti, 0); - opti[0] = 6; - maxlev = Math.max(opti[0], 3); - - wklens = computeWkspaceLens(maxlev, npde, npts); - lenrwk = wklens[0]; - leniwk = wklens[1]; - lenlwk = wklens[2]; - rwk = new double[lenrwk]; - iwk = new int[leniwk]; - lwk = new boolean[lenlwk]; - - optr = new double[3 * npde]; - Arrays.fill(optr, 1.0); - - for (int i = 0; i < 2; i++) { - tout = twant[i]; - ifail = 0; - if (i == 0) { - // Dummy monitor used to avoid output on first call - d03ra.eval( - npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, - tolt, pdedef, bndry, pdeiv, monitDummy, opti, optr, - rwk, lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail - ); - } - else { - d03ra.eval( - npde, ts, tout, dt, XMIN, XMAX, YMIN, YMAX, nx, ny, tols, - tolt, pdedef, bndry, pdeiv, monit, opti, optr, rwk, - lenrwk, iwk, leniwk, lwk, lenlwk, ITRACE, ind, ifail - ); - } - - ind = d03ra.getIND(); - ifail = d03ra.getIFAIL(); - ts = d03ra.getTS(); - - printStatistics(ts, iwk, maxlev); - - } - - } - - public static class PDEIV extends D03RA.Abstract_D03RA_PDEIV { - - public void eval() { - Arrays.fill(this.U, 1.0); - } - - } - - public static class PDEDEF extends D03RA.Abstract_D03RA_PDEDEF { - - private static final double ACTIV_ENERGY = 20.0; - private static final double DIFFUSION = 0.1; - private static final double HEAT_RELEASE = 1.0; - private static final double REACTION_RATE = 5.0; - - public void eval() { - - double damkohler; - - damkohler = REACTION_RATE * Math.exp(ACTIV_ENERGY) - / (HEAT_RELEASE * ACTIV_ENERGY); - - for (int col = 0; col < this.NPDE; col++) { - for (int row = 0; row < this.NPTS; row++) { - int idx = (col * this.NPTS) + row; - this.RES[idx] = this.UT[idx] - - (DIFFUSION * (this.UXX[idx] + this.UYY[idx])) - - (damkohler - * (1.0e0 + HEAT_RELEASE - this.U[idx]) - * Math.exp(-ACTIV_ENERGY / this.U[idx])); - } - } - - } - - } - - public static class BNDRY extends D03RA.Abstract_D03RA_BNDARY { - - public void eval() { - X02AJ x02aj = new X02AJ(); - double tol; - - // X02AJ returns machine precision - tol = 10.0 * x02aj.eval(); - - for (int i = 0; i < this.NBPTS; i++) { - int j = this.LBND[i] - 1; - - if (Math.abs(this.X[j]) <= tol) { - for (int col = 0; col < this.NPDE; col++) { - int idx = (col * this.NPTS) + j; - this.RES[idx] = this.UX[idx]; - } - } - else if (Math.abs(this.X[j] - 1.0) <= tol) { - for (int col = 0; col < this.NPDE; col++) { - int idx = (col * this.NPTS) + j; - this.RES[idx] = this.U[idx] - 1.0; - } - } - else if (Math.abs(this.Y[j]) <= tol) { - for (int col = 0; col < this.NPDE; col++) { - int idx = (col * this.NPTS) + j; - this.RES[idx] = this.UY[idx]; - } - } - else if (Math.abs(this.Y[j] - 1.0) <= tol) { - for (int col = 0; col < this.NPDE; col++) { - int idx = (col * this.NPTS) + j; - this.RES[idx] = this.U[idx] - 1.0; - } - } - } - - } - - } - - public static class MONIT extends D03RA.Abstract_D03RA_MONITR { - - public void eval() { - int ipsol, k, level, npts; - - if (TLAST) { - // Print solution - level = this.NLEV - 1; - npts = this.NGPTS[level]; - ipsol = this.LSOL[level]; - k = 0; - for (int i = 0; i < level; i++) { - k += this.NGPTS[i]; - } - - System.out.printf( - " Solution at every 4th grid point in level%10d" - + " at time %8.4f:%n%n", this.NLEV, this.T - ); - System.out.println( - " x y approx u\n" - ); - for (int i = 0; i < npts; i += 4) { - double ix = this.XPTS[k + i]; - double iy = this.YPTS[k + i]; - double isol = this.SOL[ipsol + i]; - System.out.printf( - " %11.4E %11.3E %11.3E%n", - ix, iy, isol - ); - } - System.out.println(); - - } - - } - - } - - public static class MONITDUMMY extends D03RA.Abstract_D03RA_MONITR { - - public void eval() { - return; - } - - } - - public static int[] computeWkspaceLens(int maxlev, int npde, int maxpts) { - int lenrwk, leniwk, lenlwk; - - lenrwk = (2 * maxpts * npde * ((5 * maxlev) + (18 * npde) + 9)) - + (2 * maxpts); - leniwk = (2 * maxpts * (14 + (5 * maxlev))) - + (7 * maxlev) + 2; - lenlwk = (2 * maxpts) + 400; - - return new int[] {lenrwk, leniwk, lenlwk}; - - } - - public static void printStatistics(double ts, int[] iwk, int maxlev) { - int[] istats = new int[4]; - - System.out.printf(" Statistics:%n"); - System.out.printf(" Time = %8.4f%n", ts); - System.out.printf( - " Total number of accepted timesteps =%5d%n", iwk[0] - ); - System.out.printf( - " Total number of rejected timesteps =%5d%n", iwk[1] - ); - System.out.printf( - "%n" - + " Total number (rounded) of%n" - + " Residual Jacobian Newton Lin sys%n" - + " evals evals iters iters%n" - + " At level %n" - ); - - for (int j = 0; j < maxlev; j++) { - if (iwk[j + 2] != 0) { - int idx = 0; - for (int i = j+2; i <= j+2+(3*maxlev); i += maxlev) { - istats[idx++] = iwk[i]; - } - istats = roundStatisics(istats); - System.out.printf("%8d", j + 1); - for (int i = 0; i < 4; i++) { - System.out.printf("%10d", istats[i]); - } - System.out.printf("%n"); - } - } - - System.out.printf( - "%n" - + " Maximum number of %n" - + " Newton iters Lin sys iters %n" - + " At level %n" - ); - - for (int j = 0; j < maxlev; j++) { - if (iwk[j+2] != 0) { - System.out.printf("%8d", j+1); - System.out.printf("%14d", iwk[j+2+(4*maxlev)]); - System.out.printf("%14d", iwk[j+2+(5*maxlev)]); - System.out.printf("%n"); - } - } - System.out.println(); - - } - - public static int[] roundStatisics(int[] istat) { - double lt; - int k; - - lt = Math.log(10.0); - for (int i = 0; i < istat.length; i++) { - // istat = 0 leads to div by 0 error, doesn't need rounding anyway - if (istat[i] != 0) { - k = (int) (Math.log((double) istat[i]) / lt); - k = (int) Math.pow(10, k); - istat[i] = k * ((istat[i] + k/2)/k); - } - } - - return istat; - - } - -} diff --git a/simple_examples/D03RBJE.java b/simple_examples/D03RBJE.java deleted file mode 100644 index 97faf1c..0000000 --- a/simple_examples/D03RBJE.java +++ /dev/null @@ -1,388 +0,0 @@ -import com.nag.routines.D03.D03RB; -import com.nag.routines.D03.D03RZ; -import java.util.Arrays; - -/** - * D03RB example program text. - * @author joed - */ -public class D03RBJE { - - public static final int ITRACE = -1; - public static final int NPDE = 2; - public static final double[] TWANT = {0.25, 1.0}; - - public static boolean do_monitr; - public static int print_stats = 0; - - public static BNDARY bndary = new BNDARY(); - public static INIDOM inidom = new INIDOM(); - public static MONITR monitr = new MONITR(); - public static PDEDEF pdedef = new PDEDEF(); - public static PDEIV pdeiv = new PDEIV(); - - public static void main(String[] args) { - D03RB d03rb = new D03RB(); - double tols, tolt, tout, ts; - int ifail, ind, leniwk, lenlwk, lenrwk, maxlev, mxlev, npts; - boolean[] lwk; - double[] optr, rwk, dt = new double[3]; - int[] iwk, opti = new int[4]; - - System.out.println(" D03RBJ Example Program Results"); - - npts = 3000; - mxlev = 7; - - leniwk = 10 * npts * (5 * mxlev + 14) + 2 + 7 * mxlev; - lenlwk = 20 * npts; - lenrwk = 20 * (npts * NPDE * (5 * mxlev + 9 + 18 * NPDE) + 2 * npts); - - rwk = new double[lenrwk]; - iwk = new int[leniwk]; - lwk = new boolean[lenlwk]; - optr = new double[3 * NPDE]; - - // Specify that we are starting the integration in time - // (ind = 0 normally). - ind = 10; - - ts = 0.0; - dt[0] = 0.001; - dt[1] = 1.0E-7; - dt[2] = 0.0; - tols = 0.1; - tolt = 0.05; - opti[0] = mxlev; - maxlev = opti[0]; - Arrays.fill(opti, 1, 4, 0); - Arrays.fill(optr, 1.0); - - // Call main routine - for (int iout = 1; iout <= 2; iout++) { - do_monitr = (iout == 2); - tout = TWANT[iout - 1]; - - ifail = 0; - d03rb.eval( - NPDE, ts, tout, dt, tols, tolt, inidom, pdedef, bndary, pdeiv, - monitr, opti, optr, rwk, lenrwk, iwk, leniwk, lwk, lenlwk, - ITRACE, ind, ifail - ); - ind = d03rb.getIND(); - ifail = d03rb.getIFAIL(); - ts = d03rb.getTS(); - - if (print_stats != 0) { - System.out.printf(" Statistics:\n"); - System.out.printf(" Time = %8.4f\n", ts); - System.out.printf( - " Total number of accepted timesteps =%5d\n", iwk[0] - ); - System.out.printf( - " Total number of rejected timesteps =%5d\n", iwk[1] - ); - System.out.println( - " Total number of " - + " maximum number of " - ); - System.out.println( - " Residual Jacobian Newton Newton " - ); - System.out.println( - " evals evals iters iters " - ); - System.out.println(" Level "); - - maxlev = opti[0]; - for (int j = 0; j < maxlev; j++) { - if (iwk[j+2] != 0) { - System.out.printf( - "%4d%10d%10d%10d%10d\n", - j+1, - iwk[j + 2 + 0*maxlev], - iwk[j + 2 + 1*maxlev], - iwk[j + 2 + 2*maxlev], - iwk[j + 2 + 4*maxlev] - ); - } - } - System.out.println(); - - } - - } - - } - - public static class PDEIV extends D03RB.Abstract_D03RB_PDEIV { - - public void eval(int NPTS, int NPDE, double T, double[] X, double[] Y, double[] U) { - this.setNPTS(NPTS); - this.setNPDE(NPDE); - this.setT(T); - this.setX(X); - this.setY(Y); - this.setU(U); - this.eval(); - } - - public void eval() { - double eps = 0.001, a; - - for (int i = 1; i <= this.NPTS; i++) { - a = (4.0 * (this.Y[i-1] - this.X[i-1]) - this.T) / (32.0 * eps); - if (a <= 0.0) { - this.U[getIdx(i, 1, this.NPTS)] - = 0.75 - 0.25 / (1.0 + Math.exp(a)); - this.U[getIdx(i, 2, this.NPTS)] - = 0.75 + 0.25 / (1.0 + Math.exp(a)); - } - else { - a = -a; - this.U[getIdx(i, 1, this.NPTS)] - = 0.75 - 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); - this.U[getIdx(i, 2, this.NPTS)] - = 0.75 + 0.25 * Math.exp(a) / (1.0 + Math.exp(a)); - } - } - - } - - } - - public static class INIDOM extends D03RB.Abstract_D03RB_INIDOM { - - public void eval() { - int ifail, leniwk; - int[] icold, ilbndd, irowd, lbndd, llbndd, lrowd; - int[] iwk = new int[122]; - String[] pgrid = new String[11]; - - for (int i = 0; i < 11; i++) { - pgrid[i] = " "; - } - - icold = new int[]{ - 0,1,2,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5, - 6,7,8,9,10,0,1,2,3,4,5,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4, - 5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,9,10,0,1,2,3,4,5,6,7,8,0,1,2,3,4, - 5,6,7,8,0,1,2,3,4,5,6,7,8 - }; - - ilbndd = new int[]{ - 1,2,3,4,1,4,1,2,3,4,3,4,1,2,12,23,34,41,14,41,12,23,34,41,43,14, - 21,32 - }; - - irowd = new int[]{0,1,2,3,4,5,6,7,8,9,10}; - - lbndd = new int[]{ - 2,4,15,26,37,46,57,68,79,88,98,99,100,101,102,103,104,96,86,85, - 84,83,82,70,59,48,39,28,17,6,8,9,10,11,12,13,18,29,40,49,60,72, - 73,74,75,76,77,67,56,45,36,25,33,32,42,52,53,43,1,97,105,87,81, - 3,7,71,78,14,31,51,54,34 - }; - - llbndd = new int[]{ - 1,2,11,18,19,24,31,37,42,48,53,55,56,58,59,60,61,62,63,64,65,66, - 67,68,69,70,71,72 - }; - - lrowd = new int[]{1,4,15,26,37,46,57,68,79,88,97}; - - this.NX = 11; - this.NY = 11; - - // Check MAXPTS against rough estimate of NPTS. - this.NPTS = this.NX * this.NY; - if (this.MAXPTS < this.NPTS) { - this.IERR = -1; - return; - } - - this.XMIN = 0.0; - this.YMIN = 0.0; - this.XMAX = 1.0; - this.YMAX = 1.0; - - this.NROWS = 11; - this.NPTS = 105; - this.NBNDS = 28; - this.NBPTS = 72; - - for (int i = 0; i < this.NROWS; i++) { - this.LROW[i] = lrowd[i]; - this.IROW[i] = irowd[i]; - } - - for (int i = 0; i < this.NBNDS; i++) { - this.LLBND[i] = llbndd[i]; - this.ILBND[i] = ilbndd[i]; - } - - for (int i = 0; i < this.NBPTS; i++) { - this.LBND[i] = lbndd[i]; - } - - for (int i = 0; i < this.NPTS; i++) { - this.ICOL[i] = icold[i]; - } - - } - - } - - public static class PDEDEF extends D03RB.Abstract_D03RB_PDEDEF { - - public void eval() { - - double eps = 1E-3; - int n = this.NPTS; // For concise getIdx calls - - for (int i = 1; i <= n; i++) { - this.RES[getIdx(i, 1, n)] - = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 1, n)] - - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 1, n)] - + eps * (this.UXX[getIdx(i, 1, n)] - + this.UYY[getIdx(i, 1, n)]); - this.RES[getIdx(i, 2, n)] - = -this.U[getIdx(i, 1, n)] * this.UX[getIdx(i, 2, n)] - - this.U[getIdx(i, 2, n)] * this.UY[getIdx(i, 2, n)] - + eps * (this.UXX[getIdx(i, 2, n)] - + this.UYY[getIdx(i, 2, n)]); - this.RES[getIdx(i, 1, n)] - = this.UT[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; - this.RES[getIdx(i, 2, n)] - = this.UT[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; - } - - } - - } - - public static class BNDARY extends D03RB.Abstract_D03RB_BNDARY { - - public void eval() { - - double a, eps = 1E-3; - int i, n = this.NPTS; - - for (int k = this.LLBND[0]; k <= this.NBPTS; k++) { - i = this.LBND[k - 1]; - a = (-4.0 * this.X[i - 1] + 4.0 * this.Y[i - 1] - this.T) - / (32.0 * eps); - - if (a <= 0.0) { - this.RES[getIdx(i, 1, n)] - = 0.75 - 0.25 / (1.0 + Math.exp(a)); - this.RES[getIdx(i, 2, n)] - = 0.75 + 0.25 / (1.0 + Math.exp(a)); - } - else { - a = -a; - this.RES[getIdx(i, 1, n)] - = 0.75 - (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); - this.RES[getIdx(i, 2, n)] - = 0.75 + (0.25 * Math.exp(a)) / (1.0 + Math.exp(a)); - } - - this.RES[getIdx(i, 1, n)] - = this.U[getIdx(i, 1, n)] - this.RES[getIdx(i, 1, n)]; - this.RES[getIdx(i, 2, n)] - = this.U[getIdx(i, 2, n)] - this.RES[getIdx(i, 2, n)]; - - } - - } - - } - - public static class MONITR extends D03RB.Abstract_D03RB_MONITR { - - public void eval() { - - D03RZ d03rz = new D03RZ(); - double aprxU, exctU, aprxV, exctV; - int maxpts = 6000; - int ifail, ipsol, npts; - double[] uex = new double[105*2], x = new double[maxpts], - y = new double[maxpts]; - - for (int level = 0; level < this.NLEV; level++) { - - if (!this.TLAST) { - break; - } - - ipsol = this.LSOL[level]; - - // Get grid information - ifail = -1; - npts = 0; - d03rz.eval( - level + 1, this.NLEV, this.XMIN, this.YMIN, this.DXB, - this.DYB, this.LGRID, this.ISTRUC, npts, x, y, maxpts, - ifail - ); - ifail = d03rz.getIFAIL(); - npts = d03rz.getNPTS(); - - if (ifail != 0) { - this.IERR = 1; - break; - } - - // Skip printing? - if (!do_monitr || (level != 0)) { - continue; - } - - // Get exact solution - pdeiv.eval(npts, this.NPDE, this.T, x, y, uex); - - System.out.println(); - System.out.printf( - " Solution at every 2nd grid point in level %d at" - + " time %8.4f:\n\n", level + 1, this.T - ); - System.out.print( - " x y approx u exact u approx v" - + " exact v\n\n" - ); - - ipsol = this.LSOL[level]; - - for (int i = 0; i < npts; i += 2) { - aprxU = this.SOL[ipsol + i]; - exctU = uex[getIdx(i+1, 1, npts)]; - aprxV = this.SOL[ipsol + npts + i]; - exctV = uex[getIdx(i+1, 2, npts)]; - System.out.printf( - " %9.2f %9.2f %9.2f %9.2f %9.2f %9.2f\n", - x[i], y[i], aprxU, exctU, aprxV, exctV - ); - } - System.out.println(); - - } - - } - - } - - /** - * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based - * Java index. - * - *

    Fortran array definition: - * a(dimX, *) - * - *

    Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return ((y-1) * dimX) + (x-1); - } - -} diff --git a/simple_examples/D05BAJE.java b/simple_examples/D05BAJE.java deleted file mode 100644 index 7a8caf7..0000000 --- a/simple_examples/D05BAJE.java +++ /dev/null @@ -1,111 +0,0 @@ -import com.nag.routines.D05.D05BA; -import com.nag.routines.X02.X02AJ; - -/** - * D05BAJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class D05BAJE{ - - /** - * D05BAJE main program - */ - public static void main(String[] args){ - double alim, h, hi, si, thresh, tlim, tol; - int ifail, iorder, lwk, nmesh = 6; - String method; - double[] errest, yn, work; - - errest = new double[nmesh]; - yn = new double[nmesh]; - - System.out.println("D05BAJ Example Program Results"); - - method = "A"; - iorder = 6; - alim = 0; - tlim = 20; - h = (tlim - alim) / (double) nmesh; - tol = 0.001; - X02AJ x02aj = new X02AJ(); - thresh = x02aj.eval(); - lwk = 10 * nmesh + 6; - work = new double[lwk]; - - //Loop until the supplied workspace is big enough - //breakflag used to exit loop - boolean breakflag = false; - while(true){ - ifail = 1; - - ck ck1 = new ck(); - cf cf1 = new cf(); - cg cg1 = new cg(); - - D05BA d05ba = new D05BA(ck1, cg1, cf1, method, iorder, alim, tlim, yn, errest, nmesh, - tol, thresh, work, lwk, ifail); - d05ba.eval(); - - //update - ifail = d05ba.getIFAIL(); - lwk = d05ba.getLWK(); - work = d05ba.getWORK(); - - switch(ifail){ - case 5: - lwk = (int) work[0]; - work = new double[lwk]; - break; - case 6: - lwk = (int) work[0]; - work = new double[lwk]; - break; - default: - breakflag = true; - } - - if(breakflag == true){ - break; - } - } - - if(ifail != 0){ - System.out.printf("D05BAJ exited with IFAIL = %d\n", ifail); - } - - System.out.println(); - System.out.printf("Size of workplace = %d\n", lwk); - System.out.printf("Tolerance = %.4e\n", tol); - System.out.println(); - System.out.print("T\tApprox. Sol.\tTrue Sol.\tEst. Error\tActual Error\n"); - for(int i = 0; i < nmesh; i++){ - hi = (double) (i + 1) * h; - si = sol(hi); - System.out.printf("%.2f\t%.5f\t\t%.5f\t\t%.5e\t%.5e\n", (alim + hi), yn[i], si, errest[i], Math.abs((yn[i] - si) / si)); - } - } - - private static double sol(double t){ - return Math.log(t + Math.exp(1)); - } - - public static class ck extends D05BA.Abstract_D05BA_CK{ - public double eval(){ - return Math.exp(-this.T); - } - } - - public static class cf extends D05BA.Abstract_D05BA_CF{ - public double eval(){ - return Math.exp(-this.T); - } - } - - public static class cg extends D05BA.Abstract_D05BA_CG{ - public double eval(){ - return (this.Y + Math.exp(-this.Y)); - } - } -} - diff --git a/simple_examples/D05BEJE.java b/simple_examples/D05BEJE.java deleted file mode 100644 index f98bea3..0000000 --- a/simple_examples/D05BEJE.java +++ /dev/null @@ -1,185 +0,0 @@ -import com.nag.routines.D05.D05BE; -import com.nag.routines.X01.X01AA; -import com.nag.routines.X02.X02AJ; - -/** - * D05BEJ example program text. - * @author willa - */ -public class D05BEJE{ - - private static final int iorder = 4; - private static final int nmesh = (int)(Math.pow(2, 6) + (2 * iorder) - 1); - private static final int nout = 6; - private static final int lct = nmesh / 32 + 1; - private static final int lwk = ((2 * iorder) + 6) * nmesh + (8 * iorder * iorder) - (16 * iorder) + 1; - - public static void main(String[] args){ - double err, errmax, h, hi1, soln = 0, t = 0, tlim, tolnl; - int ifail; - double[] work, yn; - int[] nct; - - work = new double[lwk]; - yn = new double[nmesh]; - nct = new int[lct]; - - System.out.println("D05BEJ Example Program Results"); - - X02AJ x02aj = new X02AJ(); - tlim = 7; - tolnl = Math.sqrt(x02aj.eval()); - h = tlim /(double) (nmesh - 1); - yn[0] = 0; - - ifail = 0; - - D05BE d05be = new D05BE(); - ck1 k1 = new ck1(); - cf1 f1 = new cf1(); - cg1 g1 = new cg1(); - d05be.eval(k1, f1, g1, "Initial", iorder, tlim, tolnl, nmesh, yn, work, lwk, nct, ifail); - - //UPDATE - yn = d05be.getYN(); - - System.out.println(); - System.out.println("Example 1"); - System.out.println(); - System.out.printf("The stepsize h = %.4f\n", h); - System.out.println(); - System.out.println("\tT\tApproximate"); - System.out.println("\t\tSolution"); - System.out.println(); - - errmax = 0; - - for(int i = 1; i < nmesh; i++){ - hi1 = (double) i * h; - err = Math.abs(yn[i] - sol1(hi1)); - - if(err > errmax){ - errmax = err; - t = hi1; - soln = yn[i]; - } - - if((i > 4) && (i % 5 == 0)){ - System.out.printf("\t%.4f\t%.4f\n", hi1, yn[i]); - } - } - - System.out.println(); - System.out.printf("The maximum absolute error, %.2e, occured at T = %.4f with solution %.4f\n", errmax, t, soln); - System.out.println(); - - tlim = 5; - h = tlim /(double) (nmesh - 1); - yn[0] = 1; - - ifail = 0; - - ck2 k2 = new ck2(); - cf2 f2 = new cf2(); - cg2 g2 = new cg2(); - d05be.eval(k2, f2, g2, "Subsequent", iorder, tlim, tolnl, nmesh, yn, work, lwk, nct, ifail); - - //UPDATE - yn = d05be.getYN(); - - System.out.println(); - System.out.println("Example 2"); - System.out.println(); - System.out.printf("The stepsize h = %.4f\n", h); - System.out.println(); - System.out.println("\tT\tApproximate"); - System.out.println("\t\tSolution"); - System.out.println(); - - errmax = 0; - - for(int i = 0; i < nmesh; i++){ - hi1 = (double) i * h; - err = Math.abs(yn[i] - sol2(hi1)); - if(err > errmax){ - errmax = err; - t = hi1; - soln = yn[i]; - } - - if((i > 6) && (i % 7 == 0)){ - System.out.printf("\t%.4f\t%.4f\n", hi1, yn[i]); - } - } - - System.out.println(); - System.out.printf("The maximum absolute error, %.2e, occured at T = %.4f with solution %.4f\n", errmax, t, soln); - } - - private static double sol1(double t){ - double c, pi, t1, x = 0; - - //x is dummy variable - X01AA x01aa = new X01AA(x); - pi = x01aa.eval(); - - t1 = 1 + t; - c = 1 / Math.sqrt(2 * pi); - - return (c * (1 / Math.pow(t, 1.5)) * Math.exp((-t1 * t1) / (2 * t))); - } - - private static double sol2(double t){ - return (1 / (1 + t)); - } - - private static class ck1 extends D05BE.Abstract_D05BE_CK{ - public double eval(){ - return (Math.exp(-0.5 * this.T)); - } - } - - private static class ck2 extends D05BE.Abstract_D05BE_CK{ - double pi, x = 0; - - public double eval(){ - X01AA x01aa = new X01AA(x); - pi = x01aa.eval(); - return Math.sqrt(pi); - } - } - - private static class cf1 extends D05BE.Abstract_D05BE_CF{ - double a, pi, t1, x = 0; - - public double eval(){ - X01AA x01aa = new X01AA(x); - pi = x01aa.eval(); - - t1 = 1 + this.T; - a = 1 / Math.sqrt(pi * this.T); - return (-a * Math.exp((-0.5 * t1 * t1) / this.T)); - } - } - - private static class cf2 extends D05BE.Abstract_D05BE_CF{ - double st1; - - public double eval(){ - st1 = Math.sqrt(1 + this.T); - return ((-2 * Math.log(st1 + Math.sqrt(this.T))) / st1); - } - } - - private static class cg1 extends D05BE.Abstract_D05BE_CG{ - public double eval(){ - return this.Y; - } - } - - private static class cg2 extends D05BE.Abstract_D05BE_CG{ - public double eval(){ - return this.Y; - } - } -} diff --git a/simple_examples/DTFSMJE.java b/simple_examples/DTFSMJE.java deleted file mode 100644 index a88b114..0000000 --- a/simple_examples/DTFSMJE.java +++ /dev/null @@ -1,54 +0,0 @@ -import com.nag.routines.F01.DTRTTF; -import com.nag.routines.F06.DTFSM; -import com.nag.routines.X04.X04CA; - -/** - * DTFSM example program text. Adapted from f06wbfe.f90 - * @author joed - */ -public class DTFSMJE { - - public static void main(String[] args) { - - double alpha = 4.21; - int ifail = 0, info = 0, m = 6, n = 4; - String side = "L", trans = "N", transr = "N", uplo = "L"; - DTFSM dtfsm = new DTFSM(); - DTRTTF dtrttf = new DTRTTF(); - X04CA x04ca = new X04CA(); - - System.out.println(" DTFSMJ Example Program Results\n"); - - // Set lower triangle of matrix A - double[] a = new double[m*m]; - for (int i = 0; i < m; i++) { - for (int j = 0; j < m; j++) { - a[i*m+j] = (j >= i) ? j+1 : 0; - } - } - - // Set matrix B - double[] b = new double[] { - 3.22, 1.64, 1.87, 5.20, 1.83, -1.10, - 1.37, 1.80, 2.87, -2.99, -2.71, -0.63, - 2.31, 0.38, 2.02, -0.91, -2.81, -0.50, - 0.29, -1.52, -0.80, -3.87, -1.13, 0.81 - }; - - // Convert A to rectangular full packed storage in ar - double[] ar = new double[(m*(m+1))/2]; - info = 0; - dtrttf.eval(transr, uplo, m, a, m, ar, info); - info = dtrttf.getINFO(); - - // Perform the matrix-matrix operation - dtfsm.eval(transr, side, uplo, trans, "N", m, n, alpha, ar, b, m); - - // Print result - ifail = 0; - x04ca.eval("General", " ", m, n, b, m, "The Solution", ifail); - ifail = x04ca.getIFAIL(); - - } - -} diff --git a/simple_examples/E01DAJE.java b/simple_examples/E01DAJE.java deleted file mode 100644 index 10c008f..0000000 --- a/simple_examples/E01DAJE.java +++ /dev/null @@ -1,182 +0,0 @@ -import com.nag.routines.E01.E01DA; -import com.nag.routines.E02.E02DF; - -/** - * E01DA example program text. - */ -public class E01DAJE { - - public static void main(String[] args) { - - int mx = 7, my = 6, ifail = -1; - double[] x = new double[mx]; - double[] y = new double[my]; - double[] f = new double[mx*my]; - double[] lamda = new double[mx+4]; - double[] mu = new double[my+4]; - double[] c = new double[mx*my]; - double[] wrk = new double[(mx+6)*(my+6)]; - - int nx = 6, ny = 6, px = 0, py = 0; - double xlo = 1.0, xhi = 2.0; - double ylo = 0.0, yhi = 1.0; - - E01DA e01da = new E01DA(); - - // Input X, Y and function values on X-Y grid - x[0] = 1.00; - x[1] = 1.10; - x[2] = 1.30; - x[3] = 1.50; - x[4] = 1.60; - x[5] = 1.80; - x[6] = 2.00; - - y[0] = 0.00; - y[1] = 0.10; - y[2] = 0.40; - y[3] = 0.70; - y[4] = 0.90; - y[5] = 1.00; - - // On entry: F[my*(q-1)+r-1] must contain f(q,r), for q=1,2,...,mx - // and r=1,2,...,my. - f[0] = 1.00; - f[1] = 1.10; - f[2] = 1.40; - f[3] = 1.70; - f[4] = 1.90; - f[5] = 2.00; - f[6] = 1.21; - f[7] = 1.31; - f[8] = 1.61; - f[9] = 1.91; - f[10] = 2.11; - f[11] = 2.21; - f[12] = 1.69; - f[13] = 1.79; - f[14] = 2.09; - f[15] = 2.39; - f[16] = 2.59; - f[17] = 2.69; - f[18] = 2.25; - f[19] = 2.35; - f[20] = 2.65; - f[21] = 2.95; - f[22] = 3.15; - f[23] = 3.25; - f[24] = 2.56; - f[25] = 2.66; - f[26] = 2.96; - f[27] = 3.26; - f[28] = 3.46; - f[29] = 3.56; - f[30] = 3.24; - f[31] = 3.34; - f[32] = 3.64; - f[33] = 3.94; - f[34] = 4.14; - f[35] = 4.24; - f[36] = 4.00; - f[37] = 4.10; - f[38] = 4.40; - f[39] = 4.70; - f[40] = 4.90; - f[41] = 5.00; - - System.out.printf(" E01DAJ Example Program Results\n\n"); - e01da.eval(mx, my, x, y, f, px, py, lamda, mu, c, wrk, ifail); - - ifail = e01da.getIFAIL(); - switch (ifail) { - case 0: - System.out.printf(" I Knot LAMDA(I) J Knot MU(j)\n"); - for (int i = 3; i <= Math.max(mx,my); ++i) { - if (i <= mx) { - System.out.printf("%4d %9.4f", i+1, lamda[i]); - } - else { - System.out.printf(" "); - } - if (i <= my) { - System.out.printf("%8d %9.4f\n", i+1, mu[i]); - } - else { - System.out.printf("\n"); - } - } - System.out.printf("\n The B-Spline coefficients:\n"); - for (int i = 0; i < mx*my; ++i) { - System.out.printf("%9.4f", c[i]); - if ((i+1)%8 == 0) { - System.out.printf("\n"); - } - } - System.out.printf("\n"); - break; - default: - System.out.printf("\n Error detected by E01DA: %d\n", ifail); - } - - /* Evaluate the spline on a regular rectangular grid at nx*ny points - over the domain [xlo,xhi] x [ylo,yhi]. */ - px = e01da.getPX(); - py = e01da.getPY(); - int liwrk; - int lwrk = Math.min(4*nx+px, 4*ny+py); - if (4*nx+px > 4*ny+py) { - liwrk = ny + py - 4; - } - else { - liwrk = nx + px - 4; - } - double[] tx = new double[nx]; - double[] ty = new double[ny]; - double[] ff = new double[nx*ny]; - wrk = new double[lwrk]; - int[] iwrk = new int[liwrk]; - - /* Generate nx/ny equispaced x/y co-ordinates */ - double step = (xhi-xlo)/(nx-1); - tx[0] = xlo; - for (int i = 1; i < nx-1; i++) { - tx[i] = tx[i-1] + step; - } - tx[nx-1] = xhi; - - step = (yhi-ylo)/(ny-1); - ty[0] = ylo; - for (int i = 1; i < ny-1; i++) { - ty[i] = ty[i-1] + step; - } - ty[ny-1] = yhi; - - /* Evaluate the spline. */ - E02DF e02df = new E02DF(); - ifail = 0; - e02df.eval(nx,ny,px,py,tx,ty,lamda,mu,c,ff,wrk,lwrk,iwrk,liwrk,ifail); - - ifail = e02df.getIFAIL(); - switch (ifail) { - case 0: - System.out.printf("\n Spline evaluated on a regular mesh (X across, Y down):\n"); - System.out.printf(" "); - for (int i = 0; i < nx; ++i) { - System.out.printf(" %5.2f ", tx[i]); - } - System.out.printf("\n"); - for (int i = 0; i < ny; ++i) { - System.out.printf(" %5.2f ", ty[i]); - for (int j = 0; j < nx; ++j) { - System.out.printf(" %8.3f", ff[ny*j+i]); - } - System.out.printf("\n"); - } - break; - default: - System.out.printf("\n Error detected by E02DF: %d\n", ifail); - } - - } - -} diff --git a/simple_examples/E02ALJE.java b/simple_examples/E02ALJE.java deleted file mode 100644 index 372f125..0000000 --- a/simple_examples/E02ALJE.java +++ /dev/null @@ -1,101 +0,0 @@ -import com.nag.routines.E02.E02AL; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * E02ALJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class E02ALJE{ - - /** - * E02ALJ Example main program - */ - public static void main(String[] args){ - double dxx, ref = 0, s, t, xx; - int ifail, n = 0, m = 0, neval = 0; //placeholders - double[] a, x, y; - - a = new double[0]; - x = new double[0]; - y = new double[0]; //placeholders - - System.out.println("E02ALJ Example Program Results"); - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[1]); - m = Integer.parseInt(sVal[2]); - neval = Integer.parseInt(sVal[3]); - - a = new double[m + 1]; - x = new double[n]; - y = new double[n]; - - for(int i = 0; i < n; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - x[i] = Double.parseDouble(sVal[1]); - y[i] = Double.parseDouble(sVal[2]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - System.exit(-2); - } - - ifail = 0; - E02AL e02al = new E02AL(n, x, y, m, a, ref, ifail); - e02al.eval(); - - //update - ref = e02al.getREF(); - x = e02al.getX(); - y = e02al.getY(); - - - System.out.println(); - System.out.printf(" Polynomial coefficients\n"); - for(int i = 0; i <= m; i++){ - System.out.printf("\t%.4e\n", a[i]); - } - System.out.println(); - System.out.printf(" Reference deviation = %.2e\n", ref); - System.out.println(); - System.out.printf("\tX\tFit\texp(x)\tResidual\n"); - - dxx = 1/(double)(neval - 1); - - for(int j = 0; j < neval; j++){ - xx = (double) j * dxx; - - s = a[m]; - - for(int i = m - 1; i >=0; i--){ - s = s * xx + a[i]; - } - - t = Math.exp(xx); - System.out.printf("\t%.2f\t%.4f\t%.4f\t%.2e\n", xx, s, t, (s - t)); - } - } -} - diff --git a/simple_examples/E04ABJE.java b/simple_examples/E04ABJE.java deleted file mode 100644 index 773f1ff..0000000 --- a/simple_examples/E04ABJE.java +++ /dev/null @@ -1,76 +0,0 @@ -import com.nag.routines.E04.E04AB; - -/** - * E04ABJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class E04ABJE{ - - /** - * E04ABJE main program - */ - public static void main(String[] args){ - double a, b, e1, e2, f = 0, x = 0; //placeholders - int ifail, maxcal; - double[] ruser; - int[] iuser; - - ruser = new double[1]; - iuser = new int[1]; - - System.out.println("E04ABJ Example Program Results"); - - //e1 and e2 are set to zero so that E04ABA will reset them to their default values - - e1 = 0; - e2 = 0; - - //The minimum is known to lie in the range (3.5, 5.0) - - a = 3.5; - b = 5.0; - - //Allow 30 calls of FUNCT - - maxcal = 30; - - ifail = -1; - funct funct1 = new funct(); - E04AB e04ab = new E04AB(funct1, e1, e2, a, b, maxcal, x, f, iuser, ruser, ifail); - e04ab.eval(); - - //update - ifail = e04ab.getIFAIL(); - a = e04ab.getA(); - b = e04ab.getB(); - x = e04ab.getX(); - f = e04ab.getF(); - maxcal = e04ab.getMAXCAL(); - - switch(ifail){ - case 0: - System.out.println(); - System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); - System.out.printf("Its estimated position is %.8f,\n", x); - System.out.printf("where the function value is %.4f\n", f); - System.out.printf("%d function evaluations were required\n", maxcal); - break; - case 2: - System.out.println(); - System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); - System.out.printf("Its estimated position is %.8f,\n", x); - System.out.printf("where the function value is %.4f\n", f); - System.out.printf("%d function evaluations were required\n", maxcal); - break; - default: - break; - } - } - - public static class funct extends E04AB.Abstract_E04AB_FUNCT{ - public void eval(){ - FC = Math.sin(this.XC) / this.XC; - } - } -} diff --git a/simple_examples/E04BBJE.java b/simple_examples/E04BBJE.java deleted file mode 100644 index d7032f5..0000000 --- a/simple_examples/E04BBJE.java +++ /dev/null @@ -1,81 +0,0 @@ -import com.nag.routines.E04.E04BB; - -/** - * E04BBJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class E04BBJE{ - - /** - * E04BBJE main program - */ - public static void main(String[] args){ - double a, b, e1, e2, f = 0, g = 0, x = 0; //placeholders - int ifail, maxcal; - double[] ruser; - int[] iuser; - - ruser = new double[1]; - iuser = new int[1]; - - System.out.println("E04BBJ Example Program Results"); - - //e1 and e2 are set to zero so that E04BBA will reset them to their default values - - e1 = 0; - e2 = 0; - - //The minimum is known to lie in the range (3.5, 5.0) - - a = 3.5; - b = 5.0; - - //Allow 30 calls of FUNCT - - maxcal = 30; - - ifail = -1; - funct funct1 = new funct(); - E04BB e04bb = new E04BB(funct1, e1, e2, a, b, maxcal, x, f, g, iuser, ruser, ifail); - e04bb.eval(); - - //update - a = e04bb.getA(); - b = e04bb.getB(); - maxcal = e04bb.getMAXCAL(); - x = e04bb.getX(); - f = e04bb.getF(); - g = e04bb.getG(); - ifail = e04bb.getIFAIL(); - - switch(ifail){ - case 0: - System.out.println(); - System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); - System.out.printf("Its estimated position is %.8f,\n", x); - System.out.printf("where the function value is %.4f\n", f); - System.out.printf("and the gradient is %.1e (machine dependent)\n", g); - System.out.printf("%d function evaluations were required\n", maxcal); - break; - case 2: - System.out.println(); - System.out.printf("The minimum lies in the interval %.8f to %.8f\n", a, b); - System.out.printf("Its estimated position is %.8f,\n", x); - System.out.printf("where the function value is %.4f\n", f); - System.out.printf("and the gradient is %.1e (machine dependent)\n", g); - System.out.printf("%d function evaluations were required\n", maxcal); - break; - default: - break; - } - } - - public static class funct extends E04BB.Abstract_E04BB_FUNCT{ - public void eval(){ - this.FC = Math.sin(this.XC) / this.XC; - this.GC = (Math.cos(this.XC) - this.FC)/this.XC; - } - } -} - diff --git a/simple_examples/E04CBJE.java b/simple_examples/E04CBJE.java deleted file mode 100644 index fbde674..0000000 --- a/simple_examples/E04CBJE.java +++ /dev/null @@ -1,90 +0,0 @@ -import com.nag.routines.E04.E04CB; -import com.nag.routines.E04.E04CBK; -import com.nag.routines.X02.X02AJ; - -/** - * E04CBJ Example Program text - * @author willa - * @since 27.1.0.0 - */ -public class E04CBJE{ - - /** - * E04CBJE main program - */ - public static void main(String[] args){ - int n = 2, ifail, maxcal; - double f = 0, tolf, tolx; //placeholders - boolean monitoring; - int[] iuser; - double[] ruser, x; - - iuser = new int[1]; - ruser = new double[1]; - x = new double[n]; - - System.out.println("E04CBJ Example Program Results"); - - //Set monitoring to true to obtain monitoring information - monitoring = false; - - x[0] = -1.0; - x[1] = 1.0; - X02AJ x02aj = new X02AJ(); - tolf = Math.sqrt(x02aj.eval()); - tolx = Math.sqrt(tolf); - maxcal = 100; - - ifail = 0; - - funct funct1 = new funct(); - if(!monitoring){ - defMonit monit = new defMonit(); - E04CB e04cb = new E04CB(n, x, f, tolf, tolx, funct1, monit, maxcal, iuser, ruser, ifail); - e04cb.eval(); - } - else{ - myMonit monit = new myMonit(); - E04CB e04cb = new E04CB(n, x, f, tolf, tolx, funct1, monit, maxcal, iuser, ruser, ifail); - e04cb.eval(); - } - - System.out.println(); - System.out.printf("The final function value is \t%.4f\n", f); - System.out.printf("at the point\t"); - for(int i = 0; i < n; i++){ - System.out.printf("%.4f\t", x[i]); - } - System.out.printf("\n"); - } - - public static class funct extends E04CB.Abstract_E04CB_FUNCT{ - public void eval(){ - this.FC = Math.exp(this.XC[0]) * ((4 * this.XC[0] * (this.XC[0] + this.XC[1])) + (2 * this.XC[1] * (this.XC[1] + 1) + 1)); - } - } - - public static class myMonit extends E04CB.Abstract_E04CB_MONIT{ - public void eval(){ - System.out.println(); - System.out.printf("There have been %d function calls\n", this.NCALL); - System.out.printf("The smallest function value is %.4f\n", this.FMIN); - System.out.printf("The simplex is\n"); - for(int i = 0; i <= this.N; i++){ - for(int j = 0; j < this.N; j++){ - System.out.printf("%.4f\t", this.SIM[(j * (this.N + 1)) + i]); - } - System.out.printf("\n"); - } - System.out.printf("The standard deviation in function values of the vertices of the simplex is %.4f\n", this.SERROR); - System.out.printf("The linearized volume ratio of the current simplex to the starting one is %.4f\n", this.VRATIO); - } - } - - //This is how to use NAG supplied function as argument - public static class defMonit extends E04CBK implements E04CB.E04CB_MONIT{ - public void eval(){ - super.eval(); - } - } -} diff --git a/simple_examples/E04FCJE.java b/simple_examples/E04FCJE.java deleted file mode 100644 index 939f68d..0000000 --- a/simple_examples/E04FCJE.java +++ /dev/null @@ -1,420 +0,0 @@ -import com.nag.routines.E04.E04FC; -import com.nag.routines.F06.DDOT; -import com.nag.routines.F06.DGEMV; -import com.nag.routines.X02.X02AJ; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.IOException; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * E04FC example program text. - * @author ludovic - */ -public class E04FCJE { - - public static void main(String[] args) { - - BufferedReader dataIn = null; - - try { - E04FC e04fc = new E04FC(); - System.out.println(" E04FCJ Example Program Results"); - dataIn = new BufferedReader(new FileReader(args[0])); - //skip header - dataIn.readLine(); - - int inc1 = 1, liw = 1, m, ldfjac = m = 15, n, ldv = n = 3, nt = 3, - lw = 6 * n + m * n + 2 * m + n * (n - 1) / 2; - String trans = "T"; - - double eta, fsumsq, stepmx, xtol; - eta = fsumsq = stepmx = xtol = Double.NaN; - int ifail, iprint, maxcal, nf, niter; - ifail = iprint = maxcal = nf = niter = 0; - double[] fjac = new double[m * n], - fvec = new double[m], - g = new double[n], - s = new double[n], - v = new double[ldv * n], - w = new double[lw], - x = new double[n], - y = new double[m], - t = new double[m * nt]; - - - int[] iw = new int[liw]; - - for (int i = 0; i < m; ++i) { - String[] line = dataIn.readLine().trim().split("\\s+"); - if (line.length != nt + 1) { - System.err.println("Error in data file - only " + line.length - + " records at line " + (i + 2) + " while expecting " + (nt + 1) - + " elements"); - System.exit(1); - } - y[i] = Double.parseDouble(line[0].replaceAll("D", "E")); // java doesn't know the D format - for (int j = 1; j <= nt; ++j) { - t[i + (j - 1) * m] = Double.parseDouble(line[j].replaceAll("D", "E")); - } - } - - // Set IPRINT to 1 to obtain output from LSQMON at each iteration - iprint = -1; - - maxcal = 400 * n; - eta = 0.5; - xtol = 10.0 * Math.sqrt((new X02AJ()).eval()); - - // We estimate that the minimum will be within 10 units of the starting point - stepmx = 10.0; - - // Set up the starting point - x[0] = 0.5; - x[1] = 1.0; - x[2] = 1.5; - - ifail = -1; - - LSQFUN lsqfun = new LSQFUN(); - lsqfun.t = t; - lsqfun.y = y; - LSQMON lsqmon = new LSQMON(); - - e04fc.eval(m, n, lsqfun, lsqmon, iprint, maxcal, eta, xtol, stepmx, x, fsumsq, - fvec, fjac, ldfjac, s, v, ldv, niter, nf, iw, liw, w, lw, ifail); - - ifail = e04fc.getIFAIL(); - - - switch (ifail) { - case (1): - System.err.println("Unexpected ifail = " + ifail); - break; - default: - System.out.println(); - System.out.printf(" On exit, the sum of squares is %12.4f\n", e04fc.getFSUMSQ()); - System.out.printf(" at the point %12.4f %12.4f %12.4f\n", x[0], x[1], x[2]); - lsqgrd(m, n, fvec, fjac, ldfjac, g); - System.out.print(" The estimated gradient is "); - for (int i = 0; i < n; ++i) { - System.out.printf(" %12.3e\t", g[i]); - } - System.out.println(); - System.out.println(" (machine dependent)"); - System.out.println(" and the residuals are"); - for (int i = 0; i < m; ++i) { - System.out.printf(" %9.1e\n", fvec[i]); - } - } - - - - } - catch (Exception ex) { - Logger.getLogger(E04FCJE.class.getName()).log(Level.SEVERE, null, ex); - } - finally { - try { - dataIn.close(); - } - catch (IOException ex) { - Logger.getLogger(E04FCJE.class.getName()).log(Level.SEVERE, null, ex); - } - } - - - } - - public static void lsqgrd(int m, int n, double[] fvec, double[] fjac, int ldfjac, double[] g) { - DGEMV dgemv = new DGEMV("T", m, n, 1.0, fjac, ldfjac, fvec, 1, 0.0, g, 1); - dgemv.eval(); - for (int i = 0; i < g.length; ++i) { - g[i] = 2.0 * g[i]; - } - } - - public static class LSQFUN implements E04FC.E04FC_LSQFUN { - - public double[] t, y; - int IFLAG, M, N, LW, LIW; - double[] XC, FVEC, W; - int[] IW; - - @Override - public void setIFLAG(int IFLAG) { - this.IFLAG = IFLAG; - } - - @Override - public int getIFLAG() { - return IFLAG; - } - - @Override - public void setM(int M) { - this.M = M; - } - - @Override - public int getM() { - return M; - } - - @Override - public void setN(int N) { - this.N = N; - } - - @Override - public int getN() { - return N; - } - - @Override - public void setXC(double[] XC) { - this.XC = XC; - } - - @Override - public double[] getXC() { - return XC; - } - - @Override - public void setFVEC(double[] FVEC) { - this.FVEC = FVEC; - } - - @Override - public double[] getFVEC() { - return FVEC; - } - - @Override - public void setIW(int[] IW) { - this.IW = IW; - } - - @Override - public int[] getIW() { - return IW; - } - - @Override - public void setLIW(int LIW) { - this.LIW = LIW; - } - - @Override - public int getLIW() { - return LIW; - } - - @Override - public void setW(double[] W) { - this.W = W; - } - - @Override - public double[] getW() { - return W; - } - - @Override - public void setLW(int LW) { - this.LW = LW; - } - - @Override - public int getLW() { - return LW; - } - - @Override - public void eval(int IFLAG, int M, int N, double[] XC, double[] FVEC, - int[] IW, int LIW, double[] W, int LW) { - for (int i = 0; i < M; ++i) { - FVEC[i] = XC[0] + t[i] / (XC[1] * t[i + M] + XC[2] * t[i + 2 * M]) - y[i]; - } - } - - } - - public static class LSQMON implements E04FC.E04FC_LSQMON { - - int M, N, LDFJAC, NITER, NF, IGRADE, LIW, LW; - int[] IW; - double[] XC, FVEC, FJAC, S, W; - - @Override - public void setM(int M) { - this.M = M; - } - - @Override - public int getM() { - return M; - } - - @Override - public void setN(int N) { - this.N = N; - } - - @Override - public int getN() { - return N; - } - - @Override - public void setXC(double[] XC) { - this.XC = XC; - } - - @Override - public double[] getXC() { - return XC; - } - - @Override - public void setFVEC(double[] FVEC) { - this.FVEC = FVEC; - } - - @Override - public double[] getFVEC() { - return FVEC; - } - - @Override - public void setFJAC(double[] FJAC) { - this.FJAC = FJAC; - } - - @Override - public double[] getFJAC() { - return FJAC; - } - - @Override - public void setLDFJAC(int LDFJAC) { - this.LDFJAC = LDFJAC; - } - - @Override - public int getLDFJAC() { - return LDFJAC; - } - - @Override - public void setS(double[] S) { - this.S = S; - } - - @Override - public double[] getS() { - return S; - } - - @Override - public void setIGRADE(int IGRADE) { - this.IGRADE = IGRADE; - } - - @Override - public int getIGRADE() { - return IGRADE; - } - - @Override - public void setNITER(int NITER) { - this.NITER = NITER; - } - - @Override - public int getNITER() { - return NITER; - } - - @Override - public void setNF(int NF) { - this.NF = NF; - } - - @Override - public int getNF() { - return NF; - } - - @Override - public void setIW(int[] IW) { - this.IW = IW; - } - - @Override - public int[] getIW() { - return IW; - } - - @Override - public void setLIW(int LIW) { - this.LIW = LIW; - } - - @Override - public int getLIW() { - return LIW; - } - - @Override - public void setW(double[] W) { - this.W = W; - } - - @Override - public double[] getW() { - return W; - } - - @Override - public void setLW(int LW) { - this.LW = LW; - } - - @Override - public int getLW() { - return LW; - } - - @Override - public void eval(int M, int N, double[] XC, double[] FVEC, double[] FJAC, - int LDFJAC, double[] S, int IGRADE, int NITER, int NF, int[] IW, - int LIW, double[] W, int LW) { - - int ndec = 3; - double fsumsq, gtg; - double[] g = new double[ndec]; - DDOT ddot = new DDOT(M, FVEC, 1, FVEC, 1); - fsumsq = ddot.eval(); - - lsqgrd(M, N, FVEC, FJAC, LDFJAC, g); - - gtg = ddot.eval(N, g, 1, g, 1); - // 99998 Format (1X,1P,E13.5,10X,1P,E9.1,10X,1P,E9.1) - System.out.println(); - System.out.println(" Itn F evals SUMSQ GTG Grade"); - System.out.printf(" %4d %5d %13.5e %9.1e %3d\n", - NITER, NF, fsumsq, gtg, IGRADE); - System.out.println(); - System.out.println(" X G Singular values"); - for (int j = 0; j < N; ++j) { - System.out.printf(" %13.5e %9.1e %9.1e\n",XC[j], g[j], S[j]); - } - - } - - } - -} diff --git a/simple_examples/E04FFJE.java b/simple_examples/E04FFJE.java deleted file mode 100644 index ad81e32..0000000 --- a/simple_examples/E04FFJE.java +++ /dev/null @@ -1,140 +0,0 @@ -import com.nag.routines.E04.E04FF; -import com.nag.routines.E04.E04FFU; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RH; -import com.nag.routines.E04.E04RM; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04ZM; -import java.util.Arrays; - -/** - * E04FF example program text. - * @author joed - */ -public class E04FFJE { - - public static void main(String[] args) { - double infbnd = 1.0e20; - double[] lx, rx, ux, x, ruser, pdy, pdz; - double[] rinfo = new double[100], stats = new double[100]; - int ifail, isparse, nnzrd, nres, nvar, pdny, pdnz; - int[] iuser; - int[] icolrd = new int[1], irowrd = new int[1]; - long cpuser, handle; // c_ptr - MONIT monit = new MONIT(); - OBJFUN objfun = new OBJFUN(); - - /* Header */ - System.out.printf(" E04FFJ Example Program Results\n\n"); - - /* Fill problem data structure */ - pdny = 11; - pdnz = 11; - pdy = new double[] { - 4.0e0, 2.0e0, 1.0e0, 5.0e-1, 2.5e-1, 1.67e-1, 1.25e-1, 1.0e-1, - 8.33e-2, 7.14e-2, 6.25e-2 - }; - pdz = new double[] { - 1.957e-1, 1.947e-1, 1.735e-1, 1.6e-1, 8.44e-2, 6.27e-2, 4.56e-2, - 3.42e-2, 3.23e-2, 2.35e-2, 2.46e-2 - }; - nvar = 4; - nres = 11; - - /* Initialize handle */ - E04RA e04ra = new E04RA(); - handle = 0; - ifail = 0; // hard fail - e04ra.eval(handle, nvar, ifail); - handle = e04ra.getHANDLE(); - - /* Define residuals structure */ - E04RM e04rm = new E04RM(); - isparse = 0; // Dense => irowrd and icolrd are not accessed - nnzrd = 1; - ifail = 0; - e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); - - /* Set options */ - E04ZM e04zm = new E04ZM(); - ifail = 0; - e04zm.eval(handle, "DFLS Trust Region Tolerance = 5.0e-6", ifail); - ifail = 0; - e04zm.eval(handle, "Print Solution = YES", ifail); - - /* Define starting point */ - x = new double[] {0.25, 0.39, 0.415, 0.39}; - rx = new double[nres]; - - /* Define bounds for the second and the fourth variable */ - E04RH e04rh = new E04RH(); - lx = new double[] {-infbnd, 0.2, -infbnd, 0.3}; - ux = new double[] {infbnd, 1.0, infbnd, infbnd}; - ifail = 0; - e04rh.eval(handle, nvar, lx, ux, ifail); - - /* Call the solver */ - E04FF e04ff = new E04FF(); - ifail = -1; - iuser = new int[] {pdny, pdnz}; - ruser = new double[2 * nres]; - cpuser = 0L; - for (int i = 0; i < nres; i++) { - ruser[i] = pdy[i]; - ruser[nres + i] = pdz[i]; - } - e04ff.eval(handle, objfun, monit, nvar, x, nres, rx, rinfo, stats, - iuser, ruser, cpuser, ifail); - - /* Free handle memory */ - E04RZ e04rz = new E04RZ(); - ifail = 0; - e04rz.eval(handle, ifail); - - } - - public static class OBJFUN extends E04FF.Abstract_E04FF_OBJFUN { - - public void eval() { - int pdny, pdnz; - double r1, r2; - double[] pdy, pdz; - - /* Interrupt solver if the dimensions are incorrect */ - if (this.NRES != 11 || this.NVAR != 4) { - this.INFORM = -1; - return; - } - - /* Extract the problem data structure from the workspaces */ - pdny = this.IUSER[0]; - pdnz = this.IUSER[1]; - if (pdny != this.NRES || pdnz != this.NRES) { - this.INFORM = -1; - return; - } - pdy = Arrays.copyOfRange(this.RUSER, 0, pdny); - pdz = Arrays.copyOfRange(this.RUSER, pdny, pdny + pdnz); - - for (int i = 0; i < this.NRES; i++) { - r1 = pdy[i] * (pdy[i] + this.X[1]); - r2 = pdy[i] * (pdy[i] + this.X[2]) + this.X[3]; - this.RX[i] = pdz[i] - (this.X[0] * r1/r2); - } - - } - - } - - public static class MONIT extends E04FF.Abstract_E04FF_MONIT { - - public void eval() { - E04FFU e04ffu = new E04FFU(); - e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, - this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ffu.getINFORM(); - } - - } - -} diff --git a/simple_examples/E04GBJE.java b/simple_examples/E04GBJE.java deleted file mode 100644 index 7becf21..0000000 --- a/simple_examples/E04GBJE.java +++ /dev/null @@ -1,183 +0,0 @@ -import com.nag.routines.A00.A00AA; -import com.nag.routines.E04.E04GB; -import com.nag.routines.E04.E04HEV; -import com.nag.routines.E04.E04YA; -import com.nag.routines.F06.DDOT; -import com.nag.routines.F06.F06PA; -import com.nag.routines.X02.X02AJ; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * E04GB example program text. - */ -public class E04GBJE { - - public static final int inc1 = 1, liw = 1, m = 15, n = 3, nt = 3; - public static final int ldfjac = m, ldv = n, lw = 7*n + m*n + 2*m + n*n; - public static final String trans = "T"; - public static double[] y; - public static double[] t; - - public static void main(String[] args) { - - double eta, fsumq = 0.0, stepmx, xtol; - int ifail, iprint, maxcal, nf = 0, niter = 0; - double[] fjac = new double[ldfjac * n]; - double[] fvec = new double[m]; - double[] g = new double[n]; - double[] s = new double[n]; - double[] v = new double[ldv * n]; - double[] w = new double[lw * n]; - double[] x = new double[n]; - int[] iw = new int[liw]; - - System.out.println(" E04GBJ Example Program Results"); - - // Data - y = new double[] { - 0.14, 0.18, 0.22, 0.25, 0.29, 0.32, 0.35, 0.39, 0.37, 0.58, 0.73, - 0.96, 1.34, 2.10, 4.39 - }; - - t = new double[m * nt]; - for (int i = 0; i < m; i++) { - t[i] = i + 1.0; - t[m + i] = 15.0 - i; - t[2*m + i] = -Math.abs(i - 7.0) + 8.0; - } - - // Check LSQFUN by calling E04YA at an arbitrary point - E04YA e04ya = new E04YA(); - LSQFUN lsqfun = new LSQFUN(); - x[0] = 0.19; - x[1] = -.34; - x[2] = 0.88; - ifail = 0; - e04ya.eval(m, n, lsqfun, x, fvec, fjac, ldfjac, iw, liw, w, lw, ifail); - - // Continue setting parameters for E04GB - E04GB e04gb = new E04GB(); - LSQMON lsqmon = new LSQMON(); - LSQLIN lsqlin = new LSQLIN(); - iprint = -1; // Set to 1 to obtain output from LSQMON at each iteration - maxcal = 50 * n; - eta = 0.09; // Since E04HEV is being used as LSQLIN - xtol = 10.0 * Math.sqrt((new X02AJ()).eval()); - stepmx = 10.0; - - // Set up the starting point - x[0] = 0.5; - x[1] = 1.0; - x[2] = 1.5; - - ifail = -1; - e04gb.eval(m, n, lsqlin, lsqfun, lsqmon, iprint, maxcal, eta, xtol, - stepmx, x, fsumq, fvec, fjac, ldfjac, s, v, ldv, niter, nf, iw, - liw, w, lw, ifail); - fsumq = e04gb.getFSUMSQ(); - x = e04gb.getX(); - ifail = e04gb.getIFAIL(); - - if (ifail == 0 || ifail >= 2) { - System.out.println(); - System.out.printf(" On exit, the sum of squares is %12.4f\n", fsumq); - System.out.printf(" at the point "); - for (int ii = 0; ii < n; ++ii) { - System.out.printf("%12.4f", x[ii]); - } - System.out.println(); - - lsqmon.lsqgrd(m, n, fvec, fjac, ldfjac, g); - - System.out.print(" The corresponding gradient is"); - for (int ii = 0; ii < n; ++ii) { - System.out.printf("%12.3E", g[ii]); - } - System.out.println(); - System.out.println(" (machine dependent)"); - System.out.println(" and the residuals are"); - for (int ii = 0; ii < m; ++ii) { - System.out.printf(" %9.1E\n", fvec[ii]); - } - System.out.println(); - } - - } - - /** Routine to evaluate the residuals and their 1st derivatives. */ - public static class LSQFUN extends E04GB.Abstract_E04GB_LSQFUN implements E04YA.E04YA_LSQFUN { - - public void eval() { - double denom, dummy; - - for (int i = 0; i < m; i++) { - denom = this.XC[1] * t[i + this.M] + this.XC[2] * t[i + 2*this.M]; - this.FVEC[i] = this.XC[0] + t[i] / denom - y[i]; - - if (this.IFLAG != 0) { - this.FJAC[i] = 1.0; - dummy = -1.0 / (denom * denom); - this.FJAC[i + ldfjac] = t[i] * t[i + this.M] * dummy; - this.FJAC[i + 2*ldfjac] = t[i] * t[i + 2*this.M] * dummy; - } - } - - } - - } - - public static class LSQMON extends E04GB.Abstract_E04GB_LSQMON { - - public static final int ndec = 3; - - /** Monitoring routine. */ - public void eval() { - double fsumsq, gtg; - double[] g = new double[ndec]; - DDOT ddot = new DDOT(); - - fsumsq = ddot.eval(this.M, this.FVEC, inc1, this.FVEC, inc1); - this.lsqgrd(this.M, this.N, this.FVEC, this.FJAC, this.LDFJAC, g); - gtg = ddot.eval(this.N, g, inc1, g, inc1); - - System.out.println(); - System.out.println(" Itn F evals SUMSQ GTG Grade"); - System.out.printf(" %4d %5d %13.5E %9.1E %3d\n", - this.NITER, this.NF, fsumsq, gtg, this.IGRADE); - System.out.println(); - System.out.println(" X G Singular values"); - for (int j = 0; j < n; j++) { - System.out.printf(" %13.5E %9.1E %9.1E\n", - this.XC[j], g[j], this.S[j]); - } - - } - - /** Routine to evaluate gradient of the sum of squares. */ - public void lsqgrd(int m, int n, double[] fvec, double[] fjac, int ldfjac, double[] g) { - F06PA f06pa = new F06PA(trans, m, n, 1.0, fjac, ldfjac, fvec, inc1, 0.0, g, inc1); - f06pa.eval(); - - for (int i = 0; i < n; ++i) { - g[i] = 2.0 * g[i]; - } - - } - - } - - /** Using E04HEV as LSQLIN. */ - private static class LSQLIN extends E04HEV implements E04GB.E04GB_LSQLIN { - - public void eval() { - super.eval(); - } - - } - -} diff --git a/simple_examples/E04GGJE.java b/simple_examples/E04GGJE.java deleted file mode 100644 index 8a18c6a..0000000 --- a/simple_examples/E04GGJE.java +++ /dev/null @@ -1,219 +0,0 @@ -import com.nag.routines.E04.E04FFU; -import com.nag.routines.E04.E04GG; -import com.nag.routines.E04.E04GGV; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RH; -import com.nag.routines.E04.E04RM; -import com.nag.routines.E04.E04RX; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04ZM; - -/** - * E04GG example program text. - */ -public class E04GGJE { - - public static void main(String[] args) { - - final double infbnd = 1.0e20; - - long cpuser = 0, handle = 0; - int ifail, isparse, nnzrd, nres, nvar; - - double[] blx, bux, ruser, rx, x, z; - double[] rinfo = new double[100], stats = new double[100]; - int[] icolrd = new int[1], irowrd = new int[1], iuser = new int[1]; - - /* Header */ - System.out.println(" E04GGJ Example Program Results\n"); - - nvar = 6; - nres = 24; - // ruser = new double[2*nres]; - // Data from Lanczos 3 Problem - ruser = new double[] { - // t(:) = - 0.0e0, 5.0e-2, 1.0e-1, 1.5e-1, 2.0e-1, 2.5e-1, 3.0e-1, 3.5e-1, - 4.0e-1, 4.5e-1, 5.0e-1, 5.5e-1, 6.0e-1, 6.5e-1, 7.0e-1, 7.5e-1, - 8.0e-1, 8.5e-1, 9.0e-1, 9.5e-1, 1.0e0, 1.05e0, 1.10e0, 1.15e0, - // y(:) = - 2.5134, 2.0443, 1.6684, 1.3664, 1.1232, 0.9269, 0.7679, 0.6389, - 0.5338, 0.4479, 0.3776, 0.3197, 0.2720, 0.2325, 0.1997, 0.1723, - 0.1493, 0.1301, 0.1138, 0.1000, 0.0883, 0.0783, 0.0698, 0.0624 - }; - - iuser[0] = 0; - - // Initialize handle - ifail = 0; - E04RA e04ra = new E04RA(); - e04ra.eval(handle, nvar, ifail); - handle = e04ra.getHANDLE(); - - // Define residuals structure, isparse=0 means the residual structure is - // dense => irowrd and icolrd are not accessed - isparse = 0; - nnzrd = 0; - E04RM e04rm = new E04RM(); - e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); - - // Set options - E04ZM e04zm = new E04ZM(); - e04zm.eval(handle, "BXNL Use Second Derivatives = Yes",ifail); - e04zm.eval(handle, "BXNL Model = Gauss-Newton",ifail); - e04zm.eval(handle, "BXNL Glob Method = Reg",ifail); - // Change printed output verbosity - e04zm.eval(handle, "Print Level = 1",ifail); - - // Define starting point - rx = new double[nres]; - z = new double[nvar]; - // x = new double[nvar]; - x = new double[] { - 1.2, 0.3, 5.6, 5.5, 6.5, 7.6 - }; - - // Define bounds - blx = new double[nvar]; - bux = new double[nvar]; - blx[0] = 0.0; - bux[0] = 1.0; - blx[1] = -1.0; - bux[1] = infbnd; - blx[2] = -1.0; - bux[2] = infbnd; - blx[3] = -1.0; - bux[3] = infbnd; - blx[4] = -1.0; - bux[4] = 1.0; - blx[5] = -1.0; - bux[5] = 10.0; - E04RH e04rh = new E04RH(); - e04rh.eval(handle, nvar, blx, bux, ifail); - - // Call the solver - ifail = -1; - E04GG e04gg = new E04GG(); - LSQFUN lsqfun = new LSQFUN(); - LSQGRD lsqgrd = new LSQGRD(); - LSQHES lsqhes = new LSQHES(); - LSQHPRD lsqhprd = new LSQHPRD(); - MONIT monit = new MONIT(); - - e04gg.eval(handle,lsqfun,lsqgrd,lsqhes,lsqhprd,monit,nvar,x,nres,rx,rinfo,stats,iuser,ruser,cpuser,ifail); - ifail = e04gg.getIFAIL(); - - // Recover latest iterate from handle if available - if (ifail == 0) { - ifail = -1; - E04RX e04rx = new E04RX(); - e04rx.eval(handle,"X",1,nvar,z,ifail); - ifail = e04rx.getIFAIL(); - if (ifail == 0) { - System.out.println("\nSolver stored solution iterate in the handle"); - System.out.print("X: "); - for (int i = 0; i < nvar; i++){ - System.out.printf("%8.2E ", z[i]); - } - System.out.println(); - } - } - - // Free the handle memory - ifail = 0; - E04RZ e04rz = new E04RZ(); - e04rz.eval(handle, ifail); - - } - - public static class LSQFUN extends E04GG.Abstract_E04GG_LSQFUN { - - public void eval() { - for (int i = 0; i < this.NRES; i++){ - this.RX[i] = 0.0; - } - - for (int i = 0; i < this.NRES; i++){ - this.RX[i] = this.RUSER[this.NRES + i] - this.X[0] * Math.exp(-this.X[1] * this.RUSER[i]) - - this.X[2] * Math.exp(-this.X[3] * this.RUSER[i]) - this.X[4] * Math.exp(-this.X[5] * this.RUSER[i]); - } - - this.INFORM = 0; - } - } - - public static class LSQGRD extends E04GG.Abstract_E04GG_LSQGRD { - - public void eval() { - int i; - - for (i = 0; i < this.RDX.length; i++) { - this.RDX[i] = 0; - } - - for (i = 0; i < this.NRES; i++) { - this.RDX[i * this.NVAR + 0] = -Math.exp(-this.X[1] * this.RUSER[i]); - this.RDX[i * this.NVAR + 1] = this.RUSER[i] * this.X[0] * Math.exp(-this.X[1] * this.RUSER[i]); - this.RDX[i * this.NVAR + 2] = -Math.exp(-this.X[3] * this.RUSER[i]); - this.RDX[i * this.NVAR + 3] = this.RUSER[i] * this.X[2] * Math.exp(-this.X[3] * this.RUSER[i]); - this.RDX[i * this.NVAR + 4] = -Math.exp(-this.X[5] * this.RUSER[i]); - this.RDX[i * this.NVAR + 5] = this.RUSER[i] * this.X[4] * Math.exp(-this.X[5] * this.RUSER[i]); - } - - this.INFORM = 0; - } - } - - public static class LSQHES extends E04GG.Abstract_E04GG_LSQHES { - - public void eval() { - for (int i = 0; i < this.NVAR * this.NVAR; i++) { - this.HX[i] = 0.0; - } - - double sum21 = 0.0, sum22 = 0.0, sum43 = 0.0, sum44 = 0.0, sum65 = 0.0, sum66 = 0.0; - - for (int i = 0; i < this.NRES; i++){ - sum21 = sum21 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[1] * this.RUSER[i])); - sum22 = sum22 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[0] * Math.exp(-this.X[1] * this.RUSER[i])); - sum43 = sum43 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[3] * this.RUSER[i])); - sum44 = sum44 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[2] * Math.exp(-this.X[3] * this.RUSER[i])); - sum65 = sum65 + (this.LAMBDA[i] * this.RUSER[i] * Math.exp(-this.X[5] * this.RUSER[i])); - sum66 = sum66 + (-this.LAMBDA[i] * Math.pow(this.RUSER[i], 2) * this.X[4] * Math.exp(-this.X[5] * this.RUSER[i])); - } - - this.HX[(2-1) + (1-1) * this.NVAR] = sum21; - this.HX[(1-1) + (2-1) * this.NVAR] = this.HX[(2-1) + (1-1) * this.NVAR]; - this.HX[(2-1) + (2-1) * this.NVAR] = sum22; - this.HX[(4-1) + (3-1) * this.NVAR] = sum43; - this.HX[(3-1) + (4-1) * this.NVAR] = this.HX[(4-1) + (3-1) * this.NVAR]; - this.HX[(4-1) + (4-1) * this.NVAR] = sum44; - this.HX[(6-1) + (5-1) * this.NVAR] = sum65; - this.HX[(5-1) + (6-1) * this.NVAR] = this.HX[(6-1) + (5-1) * this.NVAR]; - this.HX[(6-1) + (6-1) * this.NVAR] = sum66; - - this.INFORM = 0; - } - } - - public static class MONIT extends E04GG.Abstract_E04GG_MONIT { - - public void eval() { - E04FFU e04ffu = new E04FFU(); - e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, - this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ffu.getINFORM(); - } - } - - public static class LSQHPRD extends E04GG.Abstract_E04GG_LSQHPRD { - - public void eval() { - E04GGV e04ggv = new E04GGV(); - e04ggv.eval(this.NVAR, this.X, this.Y, this.NRES, this.HXY, - this.INFORM, this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ggv.getINFORM(); - } - } - -} diff --git a/simple_examples/E04MTJE.java b/simple_examples/E04MTJE.java deleted file mode 100644 index 6272e91..0000000 --- a/simple_examples/E04MTJE.java +++ /dev/null @@ -1,132 +0,0 @@ -import com.nag.routines.E04.E04MT; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RF; -import com.nag.routines.E04.E04RH; -import com.nag.routines.E04.E04RJ; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04ZM; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.util.Arrays; - -/** - * E04MT example program text. - */ -public class E04MTJE { - - public static void main(String[] args) throws IOException { - - System.out.println(" E04MTJ Example Program Results"); - int m = 7; - int n = 7; - int nnza = 41; - int nnzc = 7; - int nnzu = 2*n + 2*m; - - int[] cindex = {1,2,3,4,5,6,7}; - double[] c = {-0.02,-0.20,-0.20,-0.20,-0.20, 0.04, 0.04}; - int[] irowa = {1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3, - 4,4,4,4,4,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7}; - int[] icola = {1,2,3,4,5,6,7,1,2,3,4,5,6,7,1,2,3,4,5,6, - 1,2,3,4,5,1,2,5,1,2,3,4,5,6,1,2,3,4,5,6,7}; - double[] a = {1.00, 1.00, 1.00, 1.00, 1.00, 1.00, 1.00, - 0.15, 0.04, 0.02, 0.04, 0.02, 0.01, 0.03, - 0.03, 0.05, 0.08, 0.02, 0.06, 0.01,0.02, - 0.04, 0.01, 0.02, 0.02,0.02, 0.03, 0.01,0.70, - 0.75, 0.80, 0.75, 0.80, 0.97,0.02, 0.06, 0.08, - 0.12, 0.02, 0.01, 0.97}; - double[] bla = {-0.13,-1.0e20,-1.0e20,-1.0e20,-1.0e20, - -0.0992,-0.003}; - double[] bua = {-0.13,-0.0049,-0.0064,-0.0037,-0.0012, - 1.0e20, 0.002}; - double[] xl = {-0.01,-0.1,-0.01,-0.04,-0.1,-0.01,-0.01}; - double[] xu = {0.01,0.15,0.03,0.02,0.05,1.0e20,1.0e20}; - double[] dArrData = new double[nnza+2*m+3*n+nnzc+nnzu]; - - long handle = 0; - int ifail = 0; - E04RA e04ra = new E04RA(handle,n,ifail); - e04ra.eval(); - - handle = e04ra.getHANDLE(); - - int[] icolh = new int[1]; - int[] irowh = new int[1]; - double[] h = new double[1]; - E04RF e04rf = new E04RF(handle,nnzc,cindex,c,0,irowh,icolh,h,ifail); - e04rf.eval(); - handle = e04ra.getHANDLE(); - - E04RH e04rh = new E04RH(handle,n,xl,xu,ifail); - e04rh.eval(); - handle = e04rh.getHANDLE(); - - int idlc = 0; - E04RJ e04rj = new E04RJ(handle,m,bla,bua,nnza,irowa,icola,a,idlc,ifail); - e04rj.eval(); - handle = e04rj.getHANDLE(); - - E04ZM e04zm = new E04ZM(handle,"LPIPM Monitor Frequency = 1",ifail); - e04zm.eval(); - e04zm.setOPTSTR("LPIPM Stop Tolerance = 1.0e-10"); - e04zm.eval(); - e04zm.setOPTSTR("Print Solution = YES"); - e04zm.eval(); - e04zm.setOPTSTR("Print Options = NO"); - e04zm.eval(); - e04zm.setOPTSTR("LPIPM Centrality Correctors = -6"); - e04zm.eval(); - handle = e04zm.getHANDLE(); - - long cpuser = 2; - int[] iuser = {1}; - double[] ruser = new double[1]; - ifail = -1; - MONIT monit = new MONIT(); - double[] x = new double[n], u = new double[nnzu]; - double[] rinfo = new double[100], stats = new double[100]; - System.out.println(); - System.out.println("++++++++++ Use the Primal-Dual algorithm ++++++++++"); - E04MT e04mt = new E04MT(handle,n,x,nnzu,u,rinfo,stats, - monit,iuser,ruser,cpuser,ifail); - e04mt.eval(); - System.out.println(); - System.out.println("++++++++++ Use the Self-Dual algorithm ++++++++++"); - e04zm.setOPTSTR("LPIPM Algorithm = Self-Dual"); - e04zm.eval(); - e04zm.setOPTSTR("LPIPM Stop Tolerance 2 = 1.0e-11"); - e04zm.eval(); - iuser[0] = 2; - e04mt.setIFAIL(-1); - e04mt.setHANDLE(e04zm.getHANDLE()); - e04mt.setIUSER(iuser); - e04mt.eval(); - - } - - public static class MONIT extends E04MT.Abstract_E04MT_MONIT { - - public void eval() { - - double tol = 1.2e-8; - - if (IUSER[0] == 1) { - if ((RINFO[4] < tol) && (RINFO[5] < tol) && (RINFO[6] < tol)) { - System.out.println("Iteration " + Integer.toString((int)STATS[0])); - System.out.printf(" monit() reports good approximate solution (tol = %5.2E):\n", tol); - } - } - else { - if ((RINFO[14] < tol) && (RINFO[15] < tol) && (RINFO[16] < tol) && (RINFO[17] < tol)) { - System.out.println("Iteration " + Integer.toString((int)STATS[0])); - System.out.printf(" monit() reports good approximate solution (tol = %5.2E):\n", tol); - } - } - - } - - } - -} diff --git a/simple_examples/E04MXJE.java b/simple_examples/E04MXJE.java deleted file mode 100644 index 642a933..0000000 --- a/simple_examples/E04MXJE.java +++ /dev/null @@ -1,292 +0,0 @@ -import com.nag.routines.E04.E04MX; -import com.nag.routines.E04.E04NP; -import com.nag.routines.E04.E04NQ; -import com.nag.routines.E04.E04NS; -import com.nag.routines.E04.E04NT; -import com.nag.routines.X04.X04AC; -import com.nag.routines.X04.X04AD; -import java.util.Arrays; - -/** - * E04MX example program text. - */ -public class E04MXJE { - - public static void main(String[] args) { - - /* Parameters */ - int lencw = 600, leniw = 600, lenrw = 600, mpslst = 1, nin = 7, nout = 6; - boolean readints = false; - String fname = args[0]; - /* Local Scalars */ - double obj, objadd, sinf; - int i, ifail, iobj, lenc, lintvar, m, maxlintvar, maxm, maxn, maxncolh, - maxnnz, maxnnzh, minmax, mode, n, ncolh, ninf, nname, nnz, nnzh, ns; - boolean verboseOutput; - String start; - /* Local Arrays */ - double[] a, bl, bu, c, h, pi, rc, ruser, rw, x; - int[] helast, hs, iccola, iccolh, intvar, irowa, irowh, iuser, iw; - String[] crname, cw; - String[] cuser = new String[1], pnames = new String[5]; - cuser[0] = " "; - for (int j = 0; j < 5; j++) { - pnames[j] = " "; - } - - System.out.println(" E04MXJ Example Program Results"); - - // Initialize - for (int j = 0; j < 5; j++) { - pnames[j] = " "; - } - maxm = 0; - maxn = 0; - maxnnz = 0; - maxnnzh = 0; - maxncolh = 0; - maxlintvar = 0; - - // Open the data file for reading - X04AC x04ac = new X04AC(); - mode = 0; - ifail = 0; - x04ac.eval(nin, fname, mode, ifail); - - // Prep call to E04MX in query mode - E04MX e04mx = new E04MX(); - a = new double[1]; - irowa = new int[1]; - iccola = new int[1]; - bl = new double[1]; - bu = new double[1]; - crname = new String[]{" "}; - h = new double[1]; - irowh = new int[1]; - iccolh = new int[1]; - intvar = new int[1]; - ifail = 0; - - // Placeholders for output only scalars - n = 0; - m = 0; - nnz = 0; - ncolh = 0; - nnzh = 0; - lintvar = 0; - iobj = 0; - nname = 0; - minmax = 0; - - // Make call to E04MX - e04mx.eval(nin, maxn, maxm, maxnnz, maxncolh, maxnnzh, maxlintvar, - mpslst, n, m, nnz, ncolh, nnzh, lintvar, iobj, a, irowa, - iccola, bl, bu, pnames, nname, crname, h, irowh, iccolh, - minmax, intvar, ifail); - - // Get output scalar values - n = e04mx.getN(); - m = e04mx.getM(); - nnz = e04mx.getNNZ(); - ncolh = e04mx.getNCOLH(); - nnzh = e04mx.getNNZH(); - lintvar = e04mx.getLINTVAR(); - iobj = e04mx.getIOBJ(); - nname = e04mx.getNNAME(); - minmax = e04mx.getMINMAX(); - ifail = e04mx.getIFAIL(); - - // Close file - X04AD x04ad = new X04AD(); - ifail = 0; - x04ad.eval(nin, ifail); - - // Set maxm, maxn and maxnnz - maxm = m; - maxn = n; - maxnnz = nnz; - maxnnzh = nnzh; - maxncolh = ncolh; - maxlintvar = (readints) ? lintvar : 1; - - // Allocate memory - irowa = new int[maxnnz]; - iccola = new int[maxn + 1]; - a = new double[maxnnz]; - bl = new double[maxn + maxm]; - bu = new double[maxn + maxm]; - crname = new String[maxn + maxm]; - for (int j = 0; j < (maxn + maxm); j++) { - crname[j] = " "; - } - irowh = new int[maxnnzh]; - iccolh = new int[maxncolh + 1]; - h = new double[maxnnzh]; - intvar = new int[maxlintvar]; - - // Open the data file for reading - mode = 0; - ifail = 0; - x04ac.eval(nin, fname, mode, ifail); - - // Call E04MX to read the problem - ifail = 0; - e04mx.eval(nin, maxn, maxm, maxnnz, maxncolh, maxnnzh, maxlintvar, - mpslst, n, m, nnz, ncolh, nnzh, lintvar, iobj, a, irowa, - iccola, bl, bu, pnames, nname, crname, h, irowh, iccolh, - minmax, intvar, ifail); - n = e04mx.getN(); - m = e04mx.getM(); - nnz = e04mx.getNNZ(); - ncolh = e04mx.getNCOLH(); - nnzh = e04mx.getNNZH(); - lintvar = e04mx.getLINTVAR(); - iobj = e04mx.getIOBJ(); - nname = e04mx.getNNAME(); - minmax = e04mx.getMINMAX(); - ifail = e04mx.getIFAIL(); - - // Close the data file - ifail = 0; - x04ad.eval(nin, ifail); - - /* Data has been read. Set up and run the solver */ - - iw = new int[leniw]; - rw = new double[lenrw]; - cw = new String[lencw]; - for (int j = 0; j < lencw; j++) { - cw[j] = " "; - } - - // Call E04NP to initialize workspace - E04NP e04np = new E04NP(); - ifail = 0; - e04np.eval(cw, lencw, iw, leniw, rw, lenrw, ifail); - - // Call option setter E04NS to change the direction of optimization. - // Minimization is assumed by default. - E04NS e04ns = new E04NS(); - if (minmax == 1) { - ifail = 0; - e04ns.eval("Maximize", cw, iw, rw, ifail); - } - else if (minmax == 0) { - ifail = 0; - e04ns.eval("Feasible Point", cw, iw, rw, ifail); - } - - // Set this to TRUE to cause E04NQ to produce intermediate progress output - verboseOutput = false; - - if (verboseOutput) { - // By default E04NQ does not print monitoring information. Set the print - // file unit or the summary file unit to get information. - E04NT e04nt = new E04NT(); - ifail = 0; - e04nt.eval("Print file", nout, cw, iw, rw, ifail); - } - else { - System.out.printf(" \n Problem contains %3d variables and %3d linear constraints\n", n, m); - } - - // We have no explicit objective vector so set LENC = 0; the objective vector - // is stored in row IOBJ of ACOL. - lenc = 0; - objadd = 0.0; - start = "C"; - - c = new double[Math.max(1, lenc)]; - helast = new int[n + m]; - x = new double[n + m]; - pi = new double[m]; - rc = new double[n + m]; - hs = new int[n + m]; - iuser = new int[ncolh + 1 + nnzh]; - ruser = new double[nnzh]; - - if (ncolh > 0) { - // Store the non zeros of H in ruser for use by qphx - for (int j = 0; j < nnzh; j++) { - ruser[j] = h[j]; - } - // Store iccolh and irowh in iuser for use by qphx - for (int j = 0; j < ncolh + 1; j++) { - iuser[j] = iccolh[j]; - } - for (int j = 0; j < nnzh; j++) { - iuser[j + ncolh + 1] = irowh[j]; - } - - } - - // Call E04NQ to solve the problem - E04NQ e04nq = new E04NQ(); - QPHX qphx = new QPHX(); - ns = 0; - ninf = 0; - sinf = 0.0; - obj = 0.0; - ifail = 0; - e04nq.eval(start, qphx, m, n, nnz, nname, lenc, ncolh, iobj, objadd, - pnames[0], a, irowa, iccola, bl, bu, c, crname, helast, hs, - x, pi, rc, ns, ninf, sinf, obj, cw, lencw, iw, leniw, rw, - lenrw,cuser,iuser,ruser,ifail); - ns = e04nq.getNS(); - ninf = e04nq.getNINF(); - sinf = e04nq.getSINF(); - obj = e04nq.getOBJ(); - ifail = e04nq.getIFAIL(); - - if (!verboseOutput) { - System.out.println(); - System.out.printf(" Final objective value = %11.3E\n", obj); - System.out.printf(" Optimal X = \n"); - System.out.printf(" "); - for (int j = 0; j < n; j++) { - System.out.printf("%9.2f", x[j]); - } - System.out.printf("\n"); - } - - } - - public static class QPHX extends E04NQ.Abstract_E04NQ_QPHX { - - /** - * Subroutine to compute H*x. - * Note: IUSER and RUSER contain the following data: - * RUSER(1:NNZH) = H(1:NNZH) - * IUSER(1:NCOLH+1) = ICCOLH(1:NCOLH+1) - * IUSER(NCOLH+2:NNZH+NCOLH+1) = IROWH(1:NNZH) - */ - public void eval() { - /* Local Scalars */ - int end, icol, idx, irow, start; - - Arrays.fill(HX, 0.0); - - for (icol = 0; icol < this.NCOLH + 1; ++icol) { - - start = this.IUSER[icol] - 1; - end = IUSER[icol+1] - 2; - - for (idx = start; idx < end + 1; ++idx) { - - irow = this.IUSER[this.NCOLH + 1 + idx] - 1; - this.HX[irow] += this.X[icol] * this.RUSER[idx]; - - if (irow != icol) { - this.HX[icol] += this.X[irow] * this.RUSER[idx]; - } - - } - - } - - } - - } - - -} diff --git a/simple_examples/E04NCJE.java b/simple_examples/E04NCJE.java deleted file mode 100644 index d6c3010..0000000 --- a/simple_examples/E04NCJE.java +++ /dev/null @@ -1,246 +0,0 @@ -import static java.lang.Math.max; - -import com.nag.routines.E04.E04NC; -import com.nag.routines.E04.E04WB; -import com.nag.routines.F06.DGEMV; -import java.io.BufferedReader; -import java.io.FileReader; -import java.text.NumberFormat; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * E04NC example program text. - * @author ludovic - */ -public class E04NCJE { - - public static void main(String[] args) { - - double one = 1.0; - double zero = 0.0; - int inc1 = 1, lcwsav = 1, liwsav = 610, - llwsav = 120, lrwsav = 475, nin = 5, - nout = 6; - double obj; - int i, ifail, iter, lda, ldc, liwork, - lwork, m, n, nclin, sdc; - double[] a, b, bl, bu, c, - clamda, cvec, work, x; - double[] rwsav = new double[lrwsav]; - int[] istate, iwork, kx; - int[] iwsav = new int[liwsav]; - boolean[] lwsav = new boolean[llwsav]; - String[] cwsav = new String[lcwsav]; - - System.out.println(" E04NCJ Example Program Results"); - try { - - BufferedReader br = new BufferedReader(new FileReader(args[0])); - String line = br.readLine(); // read the header - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - String[] data = line.split("\\s+"); - m = Integer.parseInt(data[0]); - n = Integer.parseInt(data[1]); - nclin = Integer.parseInt(data[2]); - - liwork = n; - ldc = max(1,nclin); - lda = max(1,m); - - if (nclin > 0) { - sdc = n; - } - else { - sdc = 1; - } - - /* This particular example problem is of type LS1, so we allocate - * A(LDA,N), CVEC(1), B(M) and define LWORK as below - */ - if (nclin > 0) { - lwork = 2*n*n + 9*n + 6*nclin; - } - else { - lwork = 9*n; - } - - /* - * 2Ds arrays (size [n,m]) are stored in 1D arrays of size n*m, ordered by column - * ie: - * 1 1 1 - * 2 2 2 - * 3 3 3 - * - * is stored [1,2,3,1,2,3,1,2,3] - */ - istate = new int[n+nclin]; - kx = new int[n]; - iwork = new int[liwork]; - c = new double[ldc*sdc]; - bl = new double[n+nclin]; - bu = new double[n+nclin]; - cvec = new double[1]; - x = new double[n]; - a = new double[lda * n]; - b = new double[m]; - clamda = new double[n+nclin]; - work = new double[lwork]; - - /* - * Extra arrays to initialize: - */ - for (int ii = 0; ii < cwsav.length; ++ii) { - // 80 characters long... - cwsav[ii] - = " "; - } - - for (int ii = 0; ii < lda; ++ii) { - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - for (int jj = 0; jj < n; ++jj) { - a[lda*jj+ii] = Double.parseDouble(data[jj]); - } - } - - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - - for (int ii = 0; ii < m; ++ii) { - b[ii] = Double.parseDouble(data[ii]); - } - - for (int ii = 0; ii < ldc; ++ii) { - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - for (int jj = 0; jj < sdc; ++jj) { - c[ldc*jj+ii] = Double.parseDouble(data[jj]); - } - } - - //bl and bu to complicated to read properly -> hardcoded - line = br.readLine(); - line = br.readLine(); - bl[0] = 0.0; - bl[1] = 0.0; - bl[2] = -1.0E+25; - bl[3] = 0.0; - bl[4] = 0.0; - bl[5] = 0.0; - bl[6] = 0.0; - bl[7] = 0.0; - bl[8] = 0.0; - bl[9] = 2.0; - bl[10] = -1.0E+25; - bl[11] = 1.0; - - line = br.readLine(); - line = br.readLine(); - bu[0] = 2.0; - bu[1] = 2.0; - bu[2] = 2.0; - bu[3] = 2.0; - bu[4] = 2.0; - bu[5] = 2.0; - bu[6] = 2.0; - bu[7] = 2.0; - bu[8] = 2.0; - bu[9] = 1.0E+25; - bu[10] = 2.0; - bu[11] = 4.0; - - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - for (int ii = 0; ii < n; ++ii) { - x[ii] = Double.parseDouble(data[ii]); - } - - // CALL TO E04WBF - ifail = 0; - String routname = "E04NCA"; - E04WB e04wb = new E04WB(routname, cwsav, lcwsav, lwsav, llwsav, iwsav, liwsav, rwsav, - lrwsav, ifail); - e04wb.eval(); - cwsav = e04wb.getCWSAV(); - iwsav = e04wb.getIWSAV(); - lwsav = e04wb.getLWSAV(); - rwsav = e04wb.getRWSAV(); - - // CALL TO E04NCF - ifail = -1; - - /* Java needs these to be initialized, so set it to an impossible value - * to trap possible error later */ - iter = Integer.MIN_VALUE; - obj = Double.NaN; - - E04NC e04nc = new E04NC(m,n,nclin,ldc,lda,c,bl,bu,cvec,istate,kx,x,a,b,iter,obj, - clamda,iwork,liwork,work,lwork,lwsav,iwsav,rwsav,ifail); - e04nc.eval(); - - // Getting ifail's value back - ifail = e04nc.getIFAIL(); - - switch (ifail) { - case 0: - case 1: - case 2: - case 3: - case 4: - case 5: - case 7: - System.out.println("\n Varbl Istate Value Lagr Mult\n"); - - for (i = 0; i < n; ++i) { - System.out.printf(" V %3d %3d %14.3E %12.3E\n",(i+1), istate[i],x[i], clamda[i]); - } - - if (nclin > 0) { - DGEMV dgemv = new DGEMV(); - dgemv.eval("N",nclin,n,one,c,ldc,x,inc1,zero,work,inc1); - System.out.println("\n\n L Con Istate Value Lagr Mult\n"); - for (int ii = 0; ii < nclin; ++ii) { - System.out.printf(" L %3d %3d %14.3E %12.3E\n", - ii+1,istate[ii+n],work[ii],clamda[ii+n]); - } - } - - System.out.printf("\n\n Final objective value = %15.3E\n",e04nc.getOBJ()); - break; - default: - if (ifail > 7) { - System.out.println(" Varbl Istate Value Lagr Mult"); - for (i = 0; i < n; ++i) { - System.out.printf(" V %3d %3d %14.3E %12.3E)\n",(i+1), istate[i],x[i], clamda[i]); - } - - if (nclin > 0) { - DGEMV dgemv = new DGEMV(); - dgemv.eval("N",nclin,n,one,c,ldc,x,inc1,zero,work,inc1); - System.out.println(" L Con Istate Value Lagr Mult"); - for (int ii = 0; ii < nclin; ++ii) { - System.out.printf(" L %3d %3d %14.3E %12.3E\n", - ii+1,istate[ii+n],work[ii],clamda[ii+n]); - } - } - - System.out.printf("Final objective value is: %15.7f\n",e04nc.getOBJ()); - } - else { - System.out.println("E04NC returned with IFAIL = "+e04nc.getIFAIL()); - } - } - } - catch (Exception ex) { - Logger.getLogger(E04NCJE.class.getName()).log(Level.SEVERE, null, ex); - } - - } - -} diff --git a/simple_examples/E04NFJE.java b/simple_examples/E04NFJE.java deleted file mode 100644 index e341f9f..0000000 --- a/simple_examples/E04NFJE.java +++ /dev/null @@ -1,234 +0,0 @@ -import com.nag.routines.E04.E04NF; -import com.nag.routines.E04.E04NH; -import com.nag.routines.E04.E04WB; -import com.nag.routines.E04.E54NFU; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.text.NumberFormat; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * E04NF example program text. - */ -public class E04NFJE { - - public static void main(String[] args) { - - /* Local Scalars */ - double obj; - int i, ifail, iter, lda, ldh, liwork, lwork, n, nclin, sda; - /* Local Arrays */ - double[] a, ax, bl, bu, clamda, cvec, h, work, x; - int[] istate, iwork; - - try { - - System.out.println(" E04NFJ Example Program Results"); - - if (args.length == 0) { - System.err.println("You need to provide the path to the data file e04nfae.d"); - System.exit(-1); - } - - // Read data from file - DataFile datafile = new DataFile(args[0]); - datafile.read(); - - liwork = 2 * datafile.n + 3; - lda = Math.max(1, datafile.nclin); - - sda = (datafile.nclin > 0) ? datafile.n : 1; - - // This particular example problem is of type QP2 with H stored explicitly, - // so we allocate CVEC(N) and H(LDH,N), and define LDH and LWORK as below - ldh = datafile.n; - - if (datafile.nclin > 0) { - lwork = 2 * datafile.n * datafile.n + 8 * datafile.n + 5 * datafile.nclin; - } - else { - lwork = datafile.n * datafile.n + 8 * datafile.n; - } - - istate = new int[datafile.n + datafile.nclin]; - ax = new double[Math.max(1, datafile.nclin)]; - iwork = new int[liwork]; - // h, bl, bu, cvec, x, a: already read from data file - clamda = new double[datafile.n + datafile.nclin]; - work = new double[lwork]; - - // Init routine - E04WB e04wb = new E04WB(); - int lcwsav = 1, liwsav = 610, llwsav = 120, lrwsav = 475; - String[] cwsav = new String[lcwsav]; - cwsav[0] - = " "; - int[] iwsav = new int[liwsav]; - boolean[] lwsav = new boolean[llwsav]; - double[] rwsav = new double[lrwsav]; - ifail = 0; - e04wb.eval("E04NFA", cwsav, lcwsav, lwsav, llwsav, iwsav, liwsav, rwsav, lrwsav, ifail); - - // Set print level to match E04NFF example output - E04NH e04nh = new E04NH(); - int inform = 0; - e04nh.eval("Print Level = 10", lwsav, iwsav, rwsav, inform); - - // Solve the problem - E04NF e04nf = new E04NF(); - double[] ruser = new double[1]; - int[] iuser = new int[1]; - iter = 0; - obj = Double.NaN; - ifail = 0; - e04nf.eval(datafile.n, datafile.nclin, datafile.a, datafile.lda, datafile.bl, - datafile.bu, datafile.cvec, datafile.h, datafile.ldh, new QPHESS(), istate, - datafile.x, iter, obj, ax, clamda, iwork, liwork, work, lwork, - iuser, ruser, lwsav, iwsav, rwsav, ifail); - - ifail = e04nf.getIFAIL(); - - } - catch (Exception ex) { - Logger.getLogger(E04NFJE.class.getName()).log(Level.SEVERE, null, ex); - } - - } - - /** Using E54NFU as a default. */ - public static class QPHESS extends E54NFU implements E04NF.E04NF_QPHESS { - - public void eval() { - super.eval(); - } - - } - - public static class DataFile { - - public String filename; - public int n, nclin, lda, sda, ldh; - public double[] cvec, a, bl, bu, x, h; - - public DataFile(String filename) { - this.filename = filename; - } - - public void read() throws FileNotFoundException, IOException { - BufferedReader dataIn = new BufferedReader(new FileReader(filename)); - String line = dataIn.readLine(); // skipping header - line = dataIn.readLine().trim(); - String[] lines = line.split(":");//removing comments - String[] dataLine = lines[0].split("\\s+"); - if (dataLine.length != 2) { - System.err.println("Something went wrong when reading the data file" - + " - can't read n and nclin!"); - System.exit(1); - } - n = Integer.parseInt(dataLine[0]); - nclin = Integer.parseInt(dataLine[1]); - - lda = Math.max(1, nclin); - - if (nclin > 0) { - sda = n; - } - else { - sda = 1; - } - ldh = n; - - cvec = new double[n]; - a = new double[lda * sda]; - bl = new double[n + nclin]; - bu = new double[n + nclin]; - x = new double[n]; - h = new double[ldh * n]; - - //reading cvec - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for cvec"); - System.exit(1); - } - - for (int i = 0; i < n; ++i) { - cvec[i] = Double.parseDouble(dataLine[i].trim().replaceAll("D", "E")); - } - - //reading a - for (int i = 0; i < lda; ++i) { - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != sda) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for a"); - System.exit(1); - } - for (int j = 0; j < sda; ++j) { - a[i + j * lda] = Double.parseDouble(dataLine[j].trim().replaceAll("D", "E")); - } - } - - //reading bl - //it's on two lines in the data file, so we need to merge them - line = dataIn.readLine().trim().split(":")[0].trim() + " " - + dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n + nclin) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for bl"); - System.exit(1); - } - for (int i = 0; i < n + nclin; ++i) { - bl[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); - } - - //reading bu - //it's on two lines in the data file, so we need to merge them - line = dataIn.readLine().trim().split(":")[0].trim() + " " - + dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n + nclin) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for bu"); - System.exit(1); - } - for (int i = 0; i < n + nclin; ++i) { - bu[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); - } - - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for x"); - System.exit(1); - } - for (int i = 0; i < n; ++i) { - x[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); - } - - for (int i = 0; i < ldh; ++i) { - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n) { - System.err.println("Something went wrong when reading the data file" - + " - not enought or too many data for h at line " + i); - System.exit(1); - } - for (int j = 0; j < n; ++j) { - h[i + j * ldh] = Double.parseDouble(dataLine[j].replaceAll("D", "E")); - } - } - - - } - } - -} diff --git a/simple_examples/E04NKJE.java b/simple_examples/E04NKJE.java deleted file mode 100644 index 604ee66..0000000 --- a/simple_examples/E04NKJE.java +++ /dev/null @@ -1,295 +0,0 @@ -import com.nag.routines.E04.E04NK; -import com.nag.routines.E04.E04WB; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.util.Arrays; - -/** - * E04NKJ Example Program Text - * @author willa - * @since 27.1.0.0 - */ -public class E04NKJE{ - private static int lcwsav = 1; - private static int liwsav = 380; - private static int llwsav = 20; - private static int lrwsav = 285; - - /** - * E04NKJ Example main program. - */ - public static void main(String[] args){ - double obj, sinf; - int icol, ifail, iobj, jcol, leniz, lenz, m, miniz, minz, n, ncolh, ninf, nname, nnz, ns, i; - String start; - double[] a, bl, bu, clamda, xs, z, ruser, rwsav; - int[] ha, istate, iz, ka, iuser, iwsav; - boolean[] lwsav; - String[] crname, cwsav, names; - - System.out.println("E04NKJ Example Program Results"); - - ruser = new double[1]; - rwsav = new double[lrwsav]; - iuser = new int[1]; - iwsav = new int[liwsav]; - - cwsav = new String[lcwsav]; - //equivalent to ```Character (80) :: cwsav(lcwsav)``` - for(i = 0; i < lcwsav; i++){ - char[] chars = new char[80]; - Arrays.fill(chars, ' '); - cwsav[i] = new String(chars); - } - names = new String[5]; - //names all blank anyway this time - for(i = 0; i < 5; i++){ - char[] chars = new char[8]; - Arrays.fill(chars, ' '); - names[i] = new String(chars); - } - - //dummy arrays - crname = new String[0]; - - n = 7; - m = 8; - nnz = 48; - iobj = 8; - ncolh = 7; - start = "C"; - nname = 15; - - ha = new int[nnz]; - ka = new int[n + 1]; - istate = new int[n + m]; - a = new double[nnz]; - bl = new double[n + m]; - bu = new double[n + m]; - xs = new double[n + m]; - clamda = new double[n + m]; - crname = new String[nname]; - lwsav = new boolean[llwsav]; - - names[0] = " "; - names[1] = " "; - names[2] = " "; - names[3] = " "; - names[4] = " "; - - crname[0] = "...X1..."; - crname[1] = "...X2..."; - crname[2] = "...X3..."; - crname[3] = "...X4..."; - crname[4] = "...X5..."; - crname[5] = "...X6..."; - crname[6] = "...X7..."; - crname[7] = "..ROW1.."; - crname[8] = "..ROW2.."; - crname[9] = "..ROW3.."; - crname[10] = "..ROW4.."; - crname[11] = "..ROW5.."; - crname[12] = "..ROW6.."; - crname[13] = "..ROW7.."; - crname[14] = "..COST.."; - - //Matrix A. Set up KA - jcol = 1; - ka[0] = 1; - - a[0] = 0.02; ha[0] = 7; - a[1] = 0.02; ha[1] = 5; - a[2] = 0.03; ha[2] = 3; - a[3] = 1.00; ha[3] = 1; - a[4] = 0.70; ha[4] = 6; - a[5] = 0.02; ha[5] = 4; - a[6] = 0.15; ha[6] = 2; - a[7] = -200.00; ha[7] = 8; - a[8] = 0.06; ha[8] = 7; - a[9] = 0.75; ha[9] = 6; - a[10] = 0.03; ha[10] = 5; - a[11] = 0.04; ha[11] = 4; - a[12] = 0.05; ha[12] = 3; - a[13] = 0.04; ha[13] = 2; - a[14] = 1.00; ha[14] = 1; - a[15] = -2000.00; ha[15] = 8; - a[16] = 0.02; ha[16] = 2; - a[17] = 1.00; ha[17] = 1; - a[18] = 0.01; ha[18] = 4; - a[19] = 0.08; ha[19] = 3; - a[20] = 0.08; ha[20] = 7; - a[21] = 0.80; ha[21] = 6; - a[22] = -2000.00; ha[22] = 8; - a[23] = 1.00; ha[23] = 1; - a[24] = 0.12; ha[24] = 7; - a[25] = 0.02; ha[25] = 3; - a[26] = 0.02; ha[26] = 4; - a[27] = 0.75; ha[27] = 6; - a[28] = 0.04; ha[28] = 2; - a[29] = -2000.00; ha[29] = 8; - a[30] = 0.01; ha[30] = 5; - a[31] = 0.80; ha[31] = 6; - a[32] = 0.02; ha[32] = 7; - a[33] = 1.00; ha[33] = 1; - a[34] = 0.02; ha[34] = 2; - a[35] = 0.06; ha[35] = 3; - a[36] = 0.02; ha[36] = 4; - a[37] = -2000.00; ha[37] = 8; - a[38] = 1.00; ha[38] = 1; - a[39] = 0.01; ha[39] = 2; - a[40] = 0.01; ha[40] = 3; - a[41] = 0.97; ha[41] = 6; - a[42] = 0.01; ha[42] = 7; - a[43] = 400.00; ha[43] = 8; - a[44] = 0.97; ha[44] = 7; - a[45] = 0.03; ha[45] = 2; - a[46] = 1.00; ha[46] = 1; - a[47] = 400.00; ha[47] = 8; - - ka[1] = 9; - ka[2] = 17; - ka[3] = 24; - ka[4] = 31; - ka[5] = 39; - ka[6] = 45; - ka[7] = 49; - - bl[0] = 0.0; - bl[1] = 0.0; - bl[2] = 4.0e2; - bl[3] = 1.0e2; - bl[4] = 0.0; - bl[5] = 0.0; - bl[6] = 0.0; - bl[7] = 2.0e3; - bl[8] = -1.0e25; - bl[9] = -1.0e25; - bl[10] = -1.0e25; - bl[11] = -1.0e25; - bl[12] = 1.5e3; - bl[13] = 2.5e2; - bl[14] = -1.0e25; - - bu[0] = 2.0e2; - bu[1] = 2.5e3; - bu[2] = 8.0e2; - bu[3] = 7.0e2; - bu[4] = 1.5e3; - bu[5] = 1.0e25; - bu[6] = 1.0e25; - bu[7] = 2.0e3; - bu[8] = 6.0e1; - bu[9] = 1.0e2; - bu[10] = 4.0e1; - bu[11] = 3.0e1; - bu[12] = 1.0e25; - bu[13] = 3.0e2; - bu[14] = 1.0e25; - - istate[0] = 0; - istate[1] = 0; - istate[2] = 0; - istate[3] = 0; - istate[4] = 0; - istate[5] = 0; - istate[6] = 0; - istate[7] = 0; - - xs[0] = 0.0; - xs[1] = 0.0; - xs[2] = 0.0; - xs[3] = 0.0; - xs[4] = 0.0; - xs[5] = 0.0; - xs[6] = 0.0; - xs[7] = 0.0; - - ifail = 0; - E04WB e04wb = new E04WB("E04NKA",cwsav,lcwsav,lwsav,llwsav,iwsav,liwsav,rwsav, - lrwsav,ifail); - e04wb.eval(); - - leniz = 1; - lenz = 1; - iz = new int[leniz]; - z = new double[lenz]; - - QPHX qphx = new QPHX(); - - ifail = 1; - - //placeholders - ns = 0; - miniz = 0; - minz = 0; - ninf = 0; - sinf = 0.0; - obj = 0.0; - - E04NK e04nk = new E04NK(n,m,nnz,iobj,ncolh,qphx,a,ha,ka,bl,bu,start,names,nname, - crname,ns,xs,istate,miniz,minz,ninf,sinf,obj,clamda,iz, - leniz,z,lenz,iuser,ruser,lwsav,iwsav,rwsav,ifail); - e04nk.eval(); - ifail = e04nk.getIFAIL(); - - minz = e04nk.getMINZ(); - miniz = e04nk.getMINIZ(); - - lenz = minz; - leniz = miniz; - - iz = new int[leniz]; - z = new double[lenz]; - - ifail = -1; - - e04nk.eval(n,m,nnz,iobj,ncolh,qphx,a,ha,ka,bl,bu,start,names,nname,crname,ns,xs, - istate,miniz,minz,ninf,sinf,obj,clamda,iz,leniz,z,lenz,iuser,ruser, - lwsav,iwsav,rwsav,ifail); - - //update - ifail = e04nk.getIFAIL(); - obj = e04nk.getOBJ(); - - if(ifail == 0){ - System.out.println(); - System.out.println("\tVariable Istate Value Lagr Mult"); - System.out.println(); - - for(i = 0; i < n; i++){ - System.out.printf("\t%s\t%d\t%.6g\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); - } - - if(m > 0){ - System.out.println(); - System.out.println(); - System.out.println("\tConstrnt Istate Value\t\t Lagr Mult"); - System.out.println(); - - for(i = n; i < n + m - 1; i++){ - System.out.printf("\t%s\t%d\t%.6g\t\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); - } - System.out.printf("\t%s\t%d\t%.6g\t%12.4g\n", crname[i], istate[i], xs[i], clamda[i]); - } - - System.out.println(); - System.out.println(); - System.out.printf("Final objetive value = %15.7g\n", obj); - } - - } - - public static class QPHX extends E04NK.Abstract_E04NK_QPHX{ - public void eval(){ - this.HX[0] = 2 * this.X[0]; - this.HX[1] = 2 * this.X[1]; - this.HX[2] = 2 * (this.X[2] + this.X[3]); - this.HX[3] = this.HX[2]; - this.HX[4] = 2 * this.X[4]; - this.HX[5] = 2 * (this.X[5] + this.X[6]); - this.HX[6] = this.HX[5]; - } - } -} diff --git a/simple_examples/E04NQJE.java b/simple_examples/E04NQJE.java deleted file mode 100644 index 6cf84fe..0000000 --- a/simple_examples/E04NQJE.java +++ /dev/null @@ -1,384 +0,0 @@ -import com.nag.routines.E04.E04NP; -import com.nag.routines.E04.E04NQ; -import com.nag.routines.E04.E04NT; -import java.io.BufferedReader; -import java.io.File; -import java.io.FileReader; -import java.io.IOException; -import java.util.Arrays; - -/** - * E04NQ example program text. - */ -public class E04NQJE { - - public static final int LENCW = 600; - public static final int LENIW = 600; - public static final int LENRW = 600; - public static final int NIN = 5; - public static final int NOUT = 6; - - public static void main(String[] args) throws IOException { - - /* Local Scalars */ - double obj, objadd, sinf; - int i, icol, ifail, iobj, jcol, lenc, m, n, ncolh, ne, ninf, nname, ns; - boolean verboseOutput; - String prob; // Length = 8 - String start; // Length = 1 - /* Local Arrays */ - double[] acol, bl, bu, c, pi, rc, x; - double[] ruser = new double[1], rw = new double[LENRW]; - int[] helast, hs, inda, loca; - int[] iuser = new int[1], iw = new int[LENIW]; - String[] cuser = new String[1], cw = new String[LENCW]; // Length = 8 - String[] names; // Length = 8 - /* Init String arrays with same length*/ - Arrays.fill(cuser, " "); - Arrays.fill(cw, " "); - - System.out.println(" E04NQJ Example Program Results"); - - /* Read data file */ - - if (args.length != 1) { - usage(); - } - BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); - String line; - - // Skip heading in data file - line = dataIn.readLine(); - - // Read n, m - line = dataIn.readLine(); - String[] data = line.split(":")[0].trim().split("\\s+"); - if (data.length != 2) { - System.out.println("Data file badly formatted - expected 2 ints separated by blank spaces.\n" - + line + "\n"+Arrays.toString(data)); - System.exit(1); - } - n = Integer.parseInt(data[0]); - m = Integer.parseInt(data[1]); - - // Read ne, iobj, ncolh, start, nname - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - if (data.length != 5) { - System.out.println("Data file badly formatted - expected 5 ints separated by blank spaces"); - System.exit(1); - } - ne = Integer.parseInt(data[0]); - iobj = Integer.parseInt(data[1]); - ncolh = Integer.parseInt(data[2]); - start = data[3].replaceAll("'",""); - nname = Integer.parseInt(data[4]); - - // Allocate - inda = new int[ne]; - loca = new int[n+1]; - helast = new int[n+m]; - hs = new int[n+m]; - acol = new double[ne]; - bl = new double[n+m]; - bu = new double[n+m]; - x = new double[n+m]; - pi = new double[m]; - rc = new double[n+m]; - names = new String[nname]; - - // Read names - line = dataIn.readLine(); // skipping blank line - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - int nameIndex = 0; - int dataIndex = 0; - while (nameIndex < nname) { - names[nameIndex] = data[dataIndex].replaceAll("'", ""); - ++nameIndex; - ++dataIndex; - if (nameIndex < nname && dataIndex == data.length) { - //need to read one more line - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - dataIndex = 0; - } - } - - // Read matrix - line = dataIn.readLine(); // skipping blank line - int locaIndex = 0; - int currentCol = 0; - for (i = 0; i < ne; ++i) { - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - if (data.length != 3) { - System.out.println("The line is not well formatted for input of A:\n\t"+line); - System.exit(1); - } - acol[i] = Double.parseDouble(data[0].replaceAll("d", "e").replaceAll("D", "e")); - inda[i] = Integer.parseInt(data[1]); - if (i == 0) { - loca[locaIndex] = 1;//storing for Fortran use: 1-based - ++locaIndex; - ++currentCol; - } - else { - int tmp = Integer.parseInt(data[2]); - if (tmp != currentCol) { - loca[locaIndex] = i+1; - ++currentCol; - ++locaIndex; - } - } - } - loca[n] = ne + 1; - - // Read bl - line = dataIn.readLine(); // skipping blank line - int blindex = 0; - dataIndex = 0; - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - while (blindex < bl.length) { - bl[blindex] = Double.parseDouble(data[dataIndex].replaceAll("d", "e").replaceAll("D", "e")); - ++blindex; - ++dataIndex; - if (blindex < bl.length && dataIndex == data.length) { - //need to read one more line - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - dataIndex = 0; - } - } - - // Read bu - line = dataIn.readLine(); // skipping blank line - int buindex = 0; - dataIndex = 0; - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - while (buindex < bu.length) { - bu[buindex] = Double.parseDouble(data[dataIndex].replaceAll("d", "e").replaceAll("D", "e")); - ++buindex; - ++dataIndex; - if (buindex < bu.length && dataIndex == data.length) { - //need to read one more line - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - dataIndex = 0; - } - } - - // Read hs - line = dataIn.readLine(); // skipping blank line - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - if (start.equalsIgnoreCase("C")) { - if (data.length != n) { - System.out.println("Wrong format for HS data.\n"); - System.exit(1); - } - } - else { - if (data.length != n+m) { - System.out.println("Wrong format for HS data.\n"); - System.exit(1); - } - } - for (i = 0; i < data.length; ++i) { - hs[i] = Integer.parseInt(data[i]); - } - - // Read x - line = dataIn.readLine(); - data = line.split(":")[0].trim().split("\\s+"); - if (data.length != n) { - System.out.println("Wrong format for X data."); - System.exit(1); - } - for (i = 0; i < data.length; ++i) { - x[i] = Double.parseDouble(data[i].replaceAll("d", "e").replaceAll("D", "e")); - } - - /* Done reading data file */ - - System.out.printf(" \n QP problem contains %3d variables and %3d linear constraints\n", n, m); - - /* Call E04NP to initialize E04NQ. */ - E04NP e04np = new E04NP(); - ifail = 0; - e04np.eval(cw,LENCW,iw,LENIW,rw,LENRW,ifail); - - /* Set this to .True. to cause e04nqf to produce intermediate - * progress output. */ - verboseOutput = true; - - if (verboseOutput) { - /* By default e04nqf does not print monitoring - * information. Set the print file unit or the summary - * file unit to get information. */ - E04NT e04nt = new E04NT(); - ifail = 0; - e04nt.eval("Print file", NOUT, cw, iw, rw, ifail); - } - - /* We have no explicit objective vector so set LENC = 0; the - * objective vector is stored in row IOBJ of ACOL. */ - lenc = 0; - c = new double[Math.max(1,lenc)]; - objadd = 0.0; - sinf = 0.0; - obj = Double.NaN; - prob = " "; - - /* Do not allow any elastic variables (i.e. they cannot be - * infeasible). If we'd set optional argument "Elastic mode" to 0, - * we wouldn't need to set the individual elements of array HELAST. */ - - for (int j = 0; j < (n+m); j++) { - helast[j] = 0; - } - - /* Solve the QP problem. */ - - E04NQ e04nq = new E04NQ(); - ifail = 0; - ns = 0; - ninf = 0; - e04nq.eval(start,new QPHX(ncolh),m,n,ne,nname,lenc,ncolh,iobj,objadd,prob,acol, - inda,loca,bl,bu,c,names,helast,hs,x,pi,rc,ns,ninf,sinf,obj,cw,LENCW, - iw,LENIW,rw,LENRW,cuser,iuser,ruser,ifail); - - System.out.println(); - System.out.printf(" Final objective value = %11.3E\n",e04nq.getOBJ()); - System.out.print(" Optimal X = "); - for (i = 0; i < n; ++i) { - System.out.printf("%9.2f ", x[i]); - } - System.out.println(); - - } - - private static void usage() { - System.out.println("Usage:\n" - + "\tjava -cp " + File.separator + "NAGJava.jar" + File.pathSeparator - + ". E04NQJE " + File.separator + "e04nqfe.d"); - System.exit(1); - } - - public static class QPHX implements E04NQ.E04NQ_QPHX { - - private int NCOLHREF; - - public QPHX(int NCOLHREF) { - this.NCOLHREF = NCOLHREF; - } - - // @Override - public void eval(int NCOLH, double[] X, double[] HX, int NSTATE, - String[] CUSER, int[] IUSER, double[] RUSER) { - - if (NCOLH != NCOLHREF) { - System.out.println("NCOLH value is wrong!"); - System.out.println("TEST FAILED"); - System.exit(1); - } - HX[0] = 2.0*X[0]; - HX[1] = 2.0*X[1]; - HX[2] = 2.0*(X[2]+X[3]); - HX[3] = HX[2]; - HX[4] = 2.0*X[4]; - HX[5] = 2.0*(X[5]+X[6]); - HX[6] = HX[5]; - - } - - private String[] CUSER; - private double[] HX,RUSER,X; - private int[] IUSER; - private int NCOLH, NSTATE; - - // @Override - public String[] getCUSER() { - return CUSER; - } - - // @Override - public double[] getHX() { - return HX; - } - - // @Override - public int[] getIUSER() { - return IUSER; - } - - // @Override - public int getNCOLH() { - return NCOLH; - } - - // @Override - public int getNSTATE() { - return NSTATE; - } - - // @Override - public double[] getRUSER() { - return RUSER; - } - - // @Override - public double[] getX() { - return X; - } - - // @Override - public void setCUSER(String[] arg0) { - CUSER = arg0; - - } - - // @Override - public void setHX(double[] arg0) { - HX = arg0; - - } - - // @Override - public void setIUSER(int[] arg0) { - IUSER = arg0; - - } - - // @Override - public void setNCOLH(int arg0) { - NCOLH = arg0; - - } - - // @Override - public void setNSTATE(int arg0) { - NSTATE = arg0; - - } - - // @Override - public void setRUSER(double[] arg0) { - RUSER = arg0; - - } - - // @Override - public void setX(double[] arg0) { - X = arg0; - - } - - } - - - - -} diff --git a/simple_examples/E04PTJE.java b/simple_examples/E04PTJE.java deleted file mode 100644 index 75303ac..0000000 --- a/simple_examples/E04PTJE.java +++ /dev/null @@ -1,344 +0,0 @@ -import com.nag.routines.E04.E04PT; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RB; -import com.nag.routines.E04.E04RE; -import com.nag.routines.E04.E04RH; -import com.nag.routines.E04.E04RJ; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04ZM; -import com.nag.routines.F08.DSYEVD; -import java.util.Arrays; - -/** - * E04PTJ example program text. - * @author joed - * @since 27.0.0.0 - */ -public class E04PTJE { - - - /** - * Monitoring function can be used to monitor the progress - * or, for example, to implement bespoke stopping criteria. - */ - private static class MONIT extends E04PT.Abstract_E04PT_MONIT { - - public void eval() { - - double tol = RUSER[0]; - int tolReached = IUSER[1]; - - // If x is close to the solution, print a message - if ((RINFO[14] < tol) && (RINFO[15] < tol) && (RINFO[16] < tol) && (RINFO[17] < tol)) { - if (tolReached == 0) { - System.out.println(); - System.out.printf("monit() reports good approximate solution (tol = %9.2E)\n", tol); - IUSER[1] = 1; - } - } - - } - - } - - - /** - * E04PTJ example main program. - */ - public static void main(String[] args) { - - DSYEVD dsyevd = new DSYEVD(); - E04PT e04pt = new E04PT(); - E04RA e04ra = new E04RA(); - E04RB e04rb = new E04RB(); - E04RE e04re = new E04RE(); - E04RH e04rh = new E04RH(); - E04RJ e04rj = new E04RJ(); - E04RZ e04rz = new E04RZ(); - E04ZM e04zm = new E04ZM(); - MONIT monit = new MONIT(); - - final int nqc = 1; - long cpuser, handle; - double r1; - int i, idgroup, idlc, idxa, ifail, j, liwork, lwork, m, n, na, nnza, nnzp0, - nnzp1, nnzu, nnzuc, nu, nv, nvarc1, nvarc2, rptr, xIdx; - boolean verboseOutput; - String ctype1, ctype2; // Length must be 8 - double[] a, bla, bua, c, f0, f1, lambda0, lambda1, p0, p1, q0, q1, u, uc, - work, x, xl, xu; - double[] rinfo = new double[100], ruser = new double[1], stats = new double[100]; - int[] icola, icolp0, icolp1, idxc1, idxc2, irowa, irowp0, irowp1, iwork; - int[] iuser = new int[2]; - - System.out.println("E04PTJ Example Program Results\n"); - - // Dimensions of the problem - n = 3; - nnzp0 = 6; - nnzp1 = 6; - - // Initialize size of linear constraints in SOCP - m = nqc; - na = n + nqc + 1; - nnza = nqc + n; - - // Initialize size of cone constraints - nvarc1 = 2; - nvarc2 = 2; - - // Set problem data - lwork = Math.max(2*n*n+6*n+1, 120+9*n); - liwork = 5*n + 3; - irowp0 = new int[]{1, 2, 3, 2, 3, 3}; - icolp0 = new int[]{1, 1, 1, 2, 2, 3}; - p0 = new double[]{0.493, 0.382, 0.270, 0.475, 0.448, 0.515}; - irowp1 = new int[]{1, 2, 3, 2, 3, 3}; - icolp1 = new int[]{1, 1, 1, 2, 2, 3}; - p1 = new double[]{0.737, 0.453, 1.002, 0.316, 0.635, 1.590}; - q0 = new double[]{0.847, 0.08, 0.505}; - q1 = new double[]{0.065, 0.428, 0.097}; - r1 = 1.276; - f0 = new double[n*n]; - f1 = new double[n*n]; - lambda0 = new double[n]; - lambda1 = new double[n]; - work = new double[lwork]; - iwork = new int[liwork]; - - // Store full P0 and P1 in F0 and F1 - Arrays.fill(f0, 0.0); - for (i = 0; i < nnzp0; i++) { - f0[getIdx(irowp0[i], icolp0[i], n)] = p0[i]; - } - Arrays.fill(f1, 0.0); - for (i = 0; i < nnzp1; i++) { - f1[getIdx(irowp1[i], icolp1[i], n)] = p1[i]; - } - - // Factorize P0 and P1 via eigenvalue decomposition - ifail = 0; - dsyevd.eval("V", "L", n, f0, n, lambda0, work, lwork, iwork, liwork, ifail); - dsyevd.eval("V", "L", n, f1, n, lambda1, work, lwork, iwork, liwork, ifail); - - // Fomulate F0 and F1 in P0 = F0'*F0, P1 = F1'*F1 - nu = 0; - nv = 0; - for (i = 1; i <= n; i++) { - if (lambda0[i-1] > 0) { - for (j = 1; j <= n; j++) { - f0[getIdx(j,i,n)] *= Math.sqrt(lambda0[i-1]); - } - m++; - nu++; - nnza += n; - } - if (lambda1[i-1] > 0) { - for (j = 1; j <= n; j++) { - f1[getIdx(j,i,n)] *= Math.sqrt(lambda1[i-1]); - } - m++; - nv++; - nnza += n; - } - } - nnza += nu + nv; - na += nu+ nv; - nvarc1 += nu; - nvarc2 += nv; - - // Add two fixed variable for two rotated quadratic cones - na += 2; - m += 2; - nnza += 2; - - // Compute size of multipliers - nnzu = 2*na + 2*m; - nnzuc = nvarc1 + nvarc2; - - // Initialize arrays to build SOCP - icola = new int[nnza]; - irowa = new int[nnza]; - a = new double[nnza]; - bla = new double[m]; - bua = new double[m]; - xl = new double[na]; - xu = new double[na]; - c = new double[na]; - x = new double[na]; - u = new double[nnzu]; - uc = new double[nnzuc]; - idxc1 = new int[nvarc1]; - idxc2 = new int[nvarc2]; - - // Build objective function parameter c - // [x, t1, u, v, y1, y2, t0] - Arrays.fill(c, 0.0); - for (j = 0; j < n; j++) { - c[j] = q0[j]; - } - c[na-1] = 1.0; - - // Build linear constraints parameter A - idxa = 0; - rptr = 0; - // q1 in First row - rptr++; - Arrays.fill(irowa, 0, n, rptr); - for (j = 0; j < n; j++) { - icola[j] = j+1; - a[j] = q1[j]; - } - idxa += n; - - // F0 in F0*x-u=0 row - for (i = 1; i <= n; i++) { - if (lambda0[i-1] > 0) { - rptr += 1; - for (j = 0; j < n; j++) { - irowa[idxa+j] = rptr; - icola[idxa+j] = j+1; - a[idxa+j] = f0[getIdx(j+1,i,n)]; - } - idxa += n; - } - } - // F1 in F1*x-v=0 row - for (i = 1; i <= n; i++) { - if (lambda1[i-1] > 0) { - rptr += 1; - for (j = 0; j < n; j++) { - irowa[idxa+j] = rptr; - icola[idxa+j] = j+1; - a[idxa+j] = f1[getIdx(j+1,i,n)]; - } - idxa += n; - } - } - // Rest of A, a diagonal matrix - for (j = 0; j < m; j++) { - irowa[idxa+j] = j+1; - icola[idxa+j] = n+j+1; - a[idxa+j] = 1.0; - } - for (j = 1; j < (nu+nv+1); j++) { - a[idxa+j] = -1.0; - } - // RHS in linear constraints - Arrays.fill(bla, 0.0); - Arrays.fill(bua, 0.0); - bla[0] = -r1; - bua[0] = -r1; - for (j = (m-nqc); j <= m; j++) { - bla[j-1] = 1.0; - bua[j-1] = 1.0; - } - - // Box constraints, all variables are free - Arrays.fill(xl, -1E+20); - Arrays.fill(xu, 1E+20); - - // Cone constraints - // First cone - idxc1[0] = na; - idxc1[1] = n + 1 + nu + nv + 1; - for (j = 2; j < nvarc1; j++) { - idxc1[j] = n + j; - } - ctype1 = "RQUAD "; - // Second cone - idxc2[0] = n + 1; - idxc2[1] = n + 1 + nu + nv + 2; - for (j = 2; j < nvarc2; j++) { - idxc2[j] = n + nu + j; - } - ctype2 = "RQUAD "; - - // Create the problem handle - handle = 0; - ifail = 0; - e04ra.eval(handle, na, ifail); - handle = e04ra.getHANDLE(); - - // Set objective function - ifail = 0; - e04re.eval(handle, na, c, ifail); - - // Set box constraints - ifail = 0; - e04rh.eval(handle, na, xl, xu, ifail); - - // Set linear constraints - ifail = 0; - idlc = 0; - e04rj.eval(handle, m, bla, bua, nnza, irowa, icola, a, idlc, ifail); - idlc = e04rj.getIDLC(); - - // Set first cone constraint - ifail = 0; - idgroup = 0; - e04rb.eval(handle, ctype1, nvarc1, idxc1, idgroup, ifail); - idgroup = e04rb.getIDGROUP(); - - // Set first cone constraint - ifail = 0; - idgroup = 0; - e04rb.eval(handle, ctype2, nvarc2, idxc2, idgroup, ifail); - idgroup = e04rb.getIDGROUP(); - - // Turn on monitoring - ifail = 0; - e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); - - /* Set this to true to cause e04pt to produce intermediate - * progress output */ - verboseOutput = false; - - if (verboseOutput) { - // Require printing of primal and dual solutions at the end of the solve - ifail = 0; - e04zm.eval(handle, "Print Solution = YES", ifail); - } - else { - // Turn off printing of intermediate progress output - ifail = 0; - e04zm.eval(handle, "Print Level = 1", ifail); - } - - // Call SOCP interior point solver - cpuser = 0; - iuser[0] = 0; // unused in this example - iuser[1] = 0; - ruser[0] = 1.0E-7; - ifail = -1; - e04pt.eval(handle, na, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, - ruser, cpuser, ifail); - ifail = e04pt.getIFAIL(); - - // Print solution if optimal or suboptimal solution found - if (ifail == 0 || ifail == 50) { - System.out.println(" Optimal X:"); - System.out.println(" x_idx Value "); - for (xIdx = 1; xIdx <= n; xIdx++) { - System.out.printf(" %5d %11.3E\n", xIdx, x[xIdx-1]); - } - } - - // Free the handle memory - ifail = 0; - e04rz.eval(handle, ifail); - - } - - - /** - * Convert from 2D Fortran index to 1D-column major Java index. - * @param x 1-based row index for a 2D array - * @param y 1-based column index for a 2D array - * @return the corresponding 0-based index for a 1D column-major array - */ - private static int getIdx(int x, int y, int dimX) { - return ((y-1) * dimX) + (x-1); - } - -} diff --git a/simple_examples/E04RPJE.java b/simple_examples/E04RPJE.java deleted file mode 100644 index d22d3d1..0000000 --- a/simple_examples/E04RPJE.java +++ /dev/null @@ -1,199 +0,0 @@ -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RE; -import com.nag.routines.E04.E04RN; -import com.nag.routines.E04.E04RP; -import com.nag.routines.E04.E04RY; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04SV; - -/** - * E04RPJ Example Program Text - * @author willa - * @since 27.1.0.0 - */ - -public class E04RPJE{ - - /** - * E04RPJ Example main program - */ - public static void main(String[] args){ - int blkidx, dimaq, idblk, idlc, idx, idxend, ifail, inform, midx, nblk, nclin, - nnzasum, nnzb, nnzc, nnzh, nnzqsum, nnzu, nnzua, nnzuc, nq, nvar; - double[] a, b, bl, bu, cvec, h, q, x, rdummy, rinfo, stats; - int[] icola, icolb, icolh, icolq, idxc, irowa, irowb, irowh, irowq, nnza, - nnzq, qi, qj, idummy; - long cpuser, handle; - - rdummy = new double[1]; - rinfo = new double[32]; - stats = new double[32]; - idummy = new int[1]; - - System.out.println("E04RPJ Example Program Results"); - System.out.println(); - - //Problem size - nvar = 5; - nnzh = 0; - nclin = 0; - nnzb = 0; - nblk = 2; - - //Initialize handle to an empty problem - E04RA e04ra = new E04RA(); - handle = 0; - ifail = 0; - e04ra.eval(handle, nvar, ifail); - handle = e04ra.getHANDLE(); - - //Linear part of the objective function - cvec = new double[nvar]; - cvec[0] = 1; - cvec[1] = 0; - cvec[2] = 1; - cvec[3] = 0; - cvec[4] = 0; - - //Add the linear objetive function to the problem formulation - ifail = 0; - E04RE e04re = new E04RE(handle, nvar, cvec, ifail); - e04re.eval(); - - //Matrix inequalities - //block 1 - dimaq = 2; - nnzasum = 9; nnzqsum = 8; - idblk = 0; - - nnza = new int[nvar + 1]; - irowa = new int[nnzasum]; - icola = new int[nnzasum]; - a = new double[nnzasum]; - - nnza[0] = 2; - nnza[1] = 2; - nnza[2] = 3; - nnza[3] = 2; - nnza[4] = 0; - nnza[5] = 0; - - a[0] = 1.0; irowa[0] = 1; icola[0] = 1; - a[1] = 1.0; irowa[1] = 2; icola[1] = 2; - a[2] = 2.0; irowa[2] = 1; icola[2] = 1; - a[3] = -2.0; irowa[3] = 1; icola[3] = 2; - a[4] = 6.0; irowa[4] = 1; icola[4] = 1; - a[5] = 5.0; irowa[5] = 1; icola[5] = 2; - a[6] = -4.0; irowa[6] = 2; icola[6] = 2; - a[7] = 3.0; irowa[7] = 1; icola[7] = 2; - a[8] = 8.0; irowa[8] = 2; icola[8] = 2; - - idblk = 0; - ifail = 0; - //Add the linear matrix inequality to the problem formulation - E04RN e04rn = new E04RN(handle,nvar,dimaq,nnza,nnzasum,irowa,icola,a,1, - idummy,idblk,ifail); - e04rn.eval(); - //update - idblk = e04rn.getIDBLK(); - - nq = 6; - - qi = new int[nq]; - qj = new int[nq]; - nnzq = new int[nq]; - irowq = new int[nnzqsum]; - icolq = new int[nnzqsum]; - q = new double[nnzqsum]; - - qi[0] = 1; qj[0] = 4; - qi[1] = 2; qj[1] = 4; - qi[2] = 3; qj[2] = 4; - qi[3] = 1; qj[3] = 5; - qi[4] = 2; qj[4] = 5; - qi[5] = 3; qj[5] = 5; - - nnzq[0] = 1; - nnzq[1] = 2; - nnzq[2] = 1; - nnzq[3] = 1; - nnzq[4] = 2; - nnzq[5] = 1; - - q[0] = 2.0; irowq[0] = 1; icolq[0] = 1; - q[1] = 2.0; irowq[1] = 1; icolq[1] = 1; - q[2] = 1.0; irowq[2] = 1; icolq[2] = 2; - q[3] = 1.0; irowq[3] = 1; icolq[3] = 2; - q[4] = 1.0; irowq[4] = 1; icolq[4] = 2; - q[5] = 1.0; irowq[5] = 1; icolq[5] = 2; - q[6] = 2.0; irowq[6] = 2; icolq[6] = 2; - q[7] = 2.0; irowq[7] = 2; icolq[7] = 2; - - ifail = 0; - //Expand the existing linear matrix inequality with bilnear term - E04RP e04rp = new E04RP(handle,nq,qi,qj,dimaq,nnzq,nnzqsum,irowq,icolq, - q,idblk,ifail); - e04rp.eval(); - - //block 2 - dimaq = 2; - nnzasum = 5; - nnza = new int[nvar + 1]; - irowa = new int[nnzasum]; - icola = new int[nnzasum]; - a = new double[nnzasum]; - - nnza[0] = 2; - nnza[1] = 1; - nnza[2] = 1; - nnza[3] = 1; - nnza[4] = 0; - nnza[5] = 0; - - a[0] = 1.0; irowa[0] = 1; icola[0] = 1; - a[1] = 1.0; irowa[1] = 2; icola[1] = 2; - a[2] = 1.0; irowa[2] = 1; icola[2] = 1; - a[3] = 1.0; irowa[3] = 1; icola[3] = 2; - a[4] = 1.0; irowa[4] = 2; icola[4] = 2; - - idblk = 0; - ifail = 0; - //Add the linear matrix inequality to the problem formulation - e04rn = new E04RN(handle,nvar,dimaq,nnza,nnzasum,irowa,icola,a,1, - idummy,idblk,ifail); - e04rn.eval(); - - System.out.println("Passing SDP problem to solver"); - System.out.println(); - - ifail = 0; - //Print overview of handle - //nout = 6 is default output for fortran - E04RY e04ry = new E04RY(handle,6,"Overview,Matrix Constraints",ifail); - e04ry.eval(); - - //Allocate memory for the solver - x = new double[nvar]; - nnzu = 0; - nnzuc = 0; - nnzua = 0; - inform = 0; - for(int i = 0; i < nvar; i++){ - x[i] = 0.0; - } - - ifail = 0; - E04SV e04sv = new E04SV(handle,nvar,x,nnzu,rdummy,nnzuc,rdummy,nnzua,rdummy, - rinfo,stats,inform,ifail); - e04sv.eval(); - - //Destroy handle - ifail = 0; - E04RZ e04rz = new E04RZ(handle,ifail); - e04rz.eval(); - } - -} - - - diff --git a/simple_examples/E04RSJE.java b/simple_examples/E04RSJE.java deleted file mode 100644 index d614fbb..0000000 --- a/simple_examples/E04RSJE.java +++ /dev/null @@ -1,229 +0,0 @@ -import com.nag.routines.E04.E04RS; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04ZM; -import com.nag.routines.E04.E04PT; -import com.nag.routines.E04.E04RZ; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * E04RS - */ -public class E04RSJE { - - public static void main(String[] args) { - - final int nout = 6; - - long cpuser, handle = 0; - double s = 0.0; - int idqc, ifail, n = 0, nnzq0 = 0, nnzq1 = 0, nnzu, nnzuc, x_idx; - boolean verbose_output; - - double[] q0 = null, q1 = null, r0 = null, r1 = null, u, uc, x; - double[] rinfo = new double[100]; - double[] ruser = new double[1]; - double[] stats = new double[100]; - int[] icolq0 = null, icolq1 = null, idxr0 = null, idxr1 = null, irowq0 = null, irowq1 = null; - int[] iuser = new int[2]; - - System.out.println(" E04RSJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); // skip header - - // Read dimensions of the problem - line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - nnzq0 = Integer.parseInt(sVal[1]); - nnzq1 = Integer.parseInt(sVal[2]); - - // Allocate memory to read data - irowq0 = new int[nnzq0]; - icolq0 = new int[nnzq0]; - q0 = new double[nnzq0]; - irowq1 = new int[nnzq1]; - icolq1 = new int[nnzq1]; - q1 = new double[nnzq1]; - idxr0 = new int[n]; - r0 = new double[n]; - idxr1 = new int[n]; - r1 = new double[n]; - - // Read problem data - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq0; i++) { - irowq0[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq0; i++) { - icolq0[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq0; i++) { - q0[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq1; i++) { - irowq1[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq1; i++) { - icolq1[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < nnzq1; i++) { - q1[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < n; i++) { - idxr0[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < n; i++) { - r0[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < n; i++) { - idxr1[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (int i = 0; i < n; i++) { - r1[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - s = Double.parseDouble(sVal[0]); - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Compute size of multipliers - // One quadratic constraint in the model will have - // 2 multipliers for both bounds - nnzu = 2; - // No cone constraint in the model, so set nnzuc to 0 - nnzuc = 0; - - // Allocate memory for final results - x = new double[n]; - u = new double[nnzu]; - uc = new double[nnzuc]; - - // Create the problem handle - ifail = 0; - E04RA e04ra = new E04RA(); - e04ra.eval(handle, n, ifail); - handle = e04ra.getHANDLE(); - - // Set objective function - idqc = -1; - ifail = 0; - E04RS e04rs = new E04RS(); - e04rs.eval(handle, 0.0, n, idxr0, r0, nnzq0, irowq0, icolq0, q0, idqc, ifail); - - // Set quadratic constraint - idqc = 0; - ifail = 0; - e04rs.eval(handle, s, n, idxr1, r1, nnzq1, irowq1, icolq1, q1, idqc, ifail); - - // Turn on monitoring - ifail = 0; - E04ZM e04zm = new E04ZM(); - e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); - - // Set this to True to cause e04ptf to produce intermediate progress output - verbose_output = false; - - if (verbose_output) { - // Require printing of primal and dual solutions at the end of the solve - ifail = 0; - e04zm.eval(handle, "Print Solution = YES", ifail); - } else { - // Turn off printing of intermediate progress output - ifail = 0; - e04zm.eval(handle, "Print Level = 1", ifail); - } - - // Call SOCP interior point solver - cpuser = 0; - iuser[0] = nout; - iuser[1] = 0; - ruser[0] = 1.0e-07; - ifail = -1; - E04PT e04pt = new E04PT(); - MONIT monit = new MONIT(); - e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - ifail = e04pt.getIFAIL(); - - // Print solution if optimal or suboptimal solution found - if ((ifail == 0) || (ifail == 50)) { - System.out.println(" Optimal X:"); - System.out.println(" x_idx Value "); - for (x_idx = 0; x_idx < n; x_idx++) { - System.out.printf(" %5d %11.3e\n", x_idx, x[x_idx]); - } - } - - // Free the handle memory - ifail = 0; - E04RZ e04rz = new E04RZ(); - e04rz.eval(handle, ifail); - } - - public static class MONIT extends E04PT.Abstract_E04PT_MONIT { - - public void eval() { - double tol; - int nout, tol_reached; - - nout = this.IUSER[0]; - tol_reached = this.IUSER[1]; - tol = this.RUSER[0]; - - // If x is close to the solution, print a message - if ((this.RINFO[14] < tol) && (this.RINFO[15] < tol) && (this.RINFO[16] < tol) && (this.RINFO[17] < tol)) { - if (tol_reached == 0) { - System.out.printf("\n monit() reports good approximate solution (tol =%9.2e)\n", tol); - this.IUSER[1] = 1; - } - } - } - } -} diff --git a/simple_examples/E04RTJE.java b/simple_examples/E04RTJE.java deleted file mode 100644 index dd4bce8..0000000 --- a/simple_examples/E04RTJE.java +++ /dev/null @@ -1,225 +0,0 @@ -import com.nag.routines.E04.E04RT; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RJ; -import com.nag.routines.E04.E04ZM; -import com.nag.routines.E04.E04PT; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04RH; - -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * E04RT example program text. - */ -public class E04RTJE { - - public static void main(String[] args) { - - final int nout = 6; - - long cpuser, handle = 0; - int i, idlc, idqc, ifail, j, m = 0, n = 0, nnza = 0, nnzu, nnzuc, x_idx; - boolean verbose_output; - - double[] a = null, b = null, r0 = null, u, uc, x, xl = null, xu = null; - double[] lc = new double[3]; - double[] lc_rhs = new double[1]; - double[] rinfo = new double[100]; - double[] ruser = new double[1]; - double[] stats = new double[100]; - int[] icola = null, idxr0 = null, irowa = null; - int[] icollc = new int[3]; - int[] irowlc = new int[3]; - int[] iuser = new int[2]; - - System.out.println(" E04RTJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); // skip header - - // Read dimensions of the problem - line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - m = Integer.parseInt(sVal[1]); - nnza = Integer.parseInt(sVal[2]); - - // Allocate memory to read data - a = new double[nnza]; - icola = new int[nnza]; - irowa = new int[nnza]; - idxr0 = new int[n]; - r0 = new double[n]; - b = new double[m]; - xl = new double[n]; - xu = new double[n]; - - // Read problem data - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < nnza; i++) { - irowa[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < nnza; i++) { - icola[i] = Integer.parseInt(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < nnza; i++) { - a[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < m; i++) { - b[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - xl[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - xu[i] = Double.parseDouble(sVal[i]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Compute -2*b'A as linear term in quadratic function - for (j = 0; j < n; j++) { - r0[j] = 0.0; - idxr0[j] = j + 1; - } - for (i = 0; i < nnza; i++) { - r0[icola[i] - 1] = r0[icola[i] - 1] + a[i] * b[irowa[i] - 1]; - } - - // Compute size of multipliers - // One linear constraint in the model will have - // 2 multipliers for both bounds - nnzu = 2 * n + 2; - // No cone constraint in the model, so set nnzuc to 0 - nnzuc = 0; - - // Allocate memory for final results - x = new double[n]; - u = new double[nnzu]; - uc = new double[nnzuc]; - - // Create the problem handle - ifail = 0; - E04RA e04ra = new E04RA(); - e04ra.eval(handle, n, ifail); - handle = e04ra.getHANDLE(); - - // Set quadratic objective function - idqc = -1; - ifail = 0; - E04RT e04rt = new E04RT(); - e04rt.eval(handle, 0.0, n, idxr0, r0, m, nnza, irowa, icola, a, idqc, ifail); - - // Set box constraints - ifail = 0; - E04RH e04rh = new E04RH(); - e04rh.eval(handle, n, xl, xu, ifail); - - // Set linear constraint: x1 + x2 + x3 = 1 - for (j = 0; j < n; j++) { - irowlc[j] = 1; - icollc[j] = j + 1; - lc[j] = 1.0; - } - lc_rhs[0] = 1.0; - ifail = 0; - idlc = 0; - E04RJ e04rj = new E04RJ(); - e04rj.eval(handle, 1, lc_rhs, lc_rhs, 3, irowlc, icollc, lc, idlc, ifail); - - // Turn on monitoring - ifail = 0; - E04ZM e04zm = new E04ZM(); - e04zm.eval(handle, "SOCP Monitor Frequency = 1", ifail); - - // Set this to True to cause e04ptf to produce intermediate progress output - verbose_output = false; - - if (verbose_output) { - // Require printing of primal and dual solutions at the end of the solve - ifail = 0; - e04zm.eval(handle, "Print Solution = YES", ifail); - } else { - // Turn off printing of intermediate progress output - ifail = 0; - e04zm.eval(handle, "Print Level = 1", ifail); - } - - // Call SOCP interior point solver - cpuser = 0; - iuser[0] = nout; - iuser[1] = 0; - ruser[0] = 1.0e-07; - ifail = -1; - E04PT e04pt = new E04PT(); - MONIT monit = new MONIT(); - e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - ifail = e04pt.getIFAIL(); - - // Print solution if optimal or suboptimal solution found - if ((ifail == 0) || (ifail == 50)) { - System.out.println(" Optimal X:"); - System.out.println(" x_idx Value "); - for (x_idx = 0; x_idx < n; x_idx++) { - System.out.printf(" %5d %11.3e\n", x_idx, x[x_idx]); - } - } - - // Free the handle memory - ifail = 0; - E04RZ e04rz = new E04RZ(); - e04rz.eval(handle, ifail); - } - - public static class MONIT extends E04PT.Abstract_E04PT_MONIT { - - public void eval() { - double tol; - int nout, tol_reached; - - nout = this.IUSER[0]; - tol_reached = this.IUSER[1]; - tol = this.RUSER[0]; - - // If x is close to the solution, print a message - if ((this.RINFO[14] < tol) && (this.RINFO[15] < tol) && (this.RINFO[16] < tol) && (this.RINFO[17] < tol)) { - if (tol_reached == 0) { - System.out.printf("\n monit() reports good approximate solution (tol =%9.2e)\n", tol); - this.IUSER[1] = 1; - } - } - } - } - } diff --git a/simple_examples/E04SAJE.java b/simple_examples/E04SAJE.java deleted file mode 100644 index 325267b..0000000 --- a/simple_examples/E04SAJE.java +++ /dev/null @@ -1,104 +0,0 @@ -import com.nag.routines.E04.E04RC; -import com.nag.routines.E04.E04SA; -import com.nag.routines.E04.E04ZM; -import com.nag.routines.E04.E04RZ; -import com.nag.routines.E04.E04PT; -import com.nag.routines.E04.E04PTU; - -/** - * E04SA example program text. - */ -public class E04SAJE { - - public static final String fname = "e04saje.opt"; - public static void main(String[] args) { - - long cpuser, handle = 0; - int ifail, n, nnzu, nnzuc, x_idx; - boolean verbose_output; - String ftype; - - double[] rinfo = new double[100]; - double[] ruser = new double[1]; - double[] stats = new double[100]; - double[] u, uc, x; - int[] iuser = new int[1]; - int[] pinfo = new int[100]; - - System.out.println(" E04SAJ Example Program Results"); - - // Read mps file to a handle - ifail = 0; - ftype = "mps"; - E04SA e04sa = new E04SA(); - e04sa.eval(handle, fname, ftype, pinfo, ifail); - handle = e04sa.getHANDLE(); - - // Get problem size from pinfo - pinfo = e04sa.getPINFO(); - n = pinfo[0]; - nnzu = pinfo[10]; - nnzuc = pinfo[11]; - - // Set all variables as continuous - ifail = 0; - E04RC e04rc = new E04RC(); - - int[] x_idx_Arr = new int[n]; - for (x_idx = 1; x_idx <= n; x_idx++) { - x_idx_Arr[x_idx - 1] = x_idx; - } - - e04rc.eval(handle, "CONT", n, x_idx_Arr, ifail); - - // Allocate memory - x = new double[n]; - u = new double[nnzu]; - uc = new double[nnzuc]; - - // Set this to .True. to cause e04ptf to produce intermediate progress output - verbose_output = false; - - E04ZM e04zm = new E04ZM(); - if (verbose_output) { - // Require printing of primal and dual solutions at the end of the solve - ifail = 0; - e04zm.eval(handle, "Print Solution = YES", ifail); - } else { - // Turn off printing of intermediate progress output - ifail = 0; - e04zm.eval(handle, "Print Level = 1", ifail); - } - - // Call SOCP interior point solver - cpuser = 0; - ifail = -1; - E04PT e04pt = new E04PT(); - MONIT monit = new MONIT(); - e04pt.eval(handle, n, x, nnzu, u, nnzuc, uc, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - ifail = e04pt.getIFAIL(); - - // Print solution if optimal or suboptimal solution found - if ((ifail == 0) || (ifail == 50)) { - System.out.println(" Optimal X:"); - System.out.println(" x_idx " + " Value "); - for (x_idx = 0; x_idx < n; x_idx++) { - System.out.printf(" %5d %12.5e\n", x_idx, x[x_idx]); - } - } - - // Free the handle memory - ifail = 0; - E04RZ e04rz = new E04RZ(); - e04rz.eval(handle, ifail); - } - - public static class MONIT extends E04PT.Abstract_E04PT_MONIT { - - public void eval() { - E04PTU e04ptu = new E04PTU(); - e04ptu.eval(this.HANDLE, this.RINFO, this.STATS, this.IUSER, this.RUSER, this.CPUSER, this.INFORM); - this.INFORM = e04ptu.getINFORM(); - } - } -} diff --git a/simple_examples/E04TAJE.java b/simple_examples/E04TAJE.java deleted file mode 100644 index 97cebe2..0000000 --- a/simple_examples/E04TAJE.java +++ /dev/null @@ -1,188 +0,0 @@ -import com.nag.routines.E04.E04TA; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RE; -import com.nag.routines.E04.E04RH; -import com.nag.routines.E04.E04RJ; -import com.nag.routines.E04.E04ZM; -import com.nag.routines.E04.E04MT; -import com.nag.routines.E04.E04MTU; -import com.nag.routines.E04.E04TD; -import com.nag.routines.E04.E04TE; -import com.nag.routines.E04.E04TJ; -import com.nag.routines.E04.E04RW; -import com.nag.routines.E04.E04RZ; - -import java.util.Arrays; - -/** - * E04TA - */ -public class E04TAJE { - - public static void main(String[] args) { - - final double infbnd = 1.0e20; - - long cpuser, handle; - int idlc, ifail, ioflag, liarr, nclin, nnza, nnzu, nvar; - - double[] a, bla, bua, cvec, ulag, x, xl, xu; - - double[] rinfo = new double[100]; - double[] ruser = new double[1]; - double[] stats = new double[100]; - double[] u = new double[1]; - - int[] icola, irowa; - - int[] iuser = new int[1]; - int[] pinfo = new int[100]; - - System.out.println(" E04TAJ Example Program Results\n"); - System.out.println(" Solve the first LP\n"); - - handle = 0; - cpuser = 0; - - // Initialize the handle - nvar = 2; - ifail = 0; - E04RA e04ra = new E04RA(); - e04ra.eval(handle, nvar, ifail); - handle = e04ra.getHANDLE(); - - // Define the objective function - cvec = new double[nvar]; - cvec[0] = 2.0; - cvec[1] = 4.5; - ifail = 0; - E04RE e04re = new E04RE(); - e04re.eval(handle, nvar, cvec, ifail); - - // Box constraints - xl = new double[nvar]; - xu = new double[nvar]; - Arrays.fill(xl, 0.0); - xu[0] = infbnd; - xu[1] = 100.0; - ifail = 0; - E04RH e04rh = new E04RH(); - e04rh.eval(handle, nvar, xl, xu, ifail); - - // Set the linear constraints - idlc = 0; - nclin = 3; - nnza = 6; - bla = new double[nclin]; - bua = new double[nclin]; - irowa = new int[nnza]; - icola = new int[nnza]; - a = new double[nnza]; - Arrays.fill(bla, -infbnd); - bua = new double[] { - 1500.0, 6000.0, 16000.0 - }; - irowa = new int[] { - 1, 1, 2, 2, 3, 3 - }; - icola = new int[] { - 1, 2, 1, 2, 1, 2 - }; - a = new double[] { - 1.2, 3.0, 6.0, 10.0, 40.0, 80.0 - }; - ifail = 0; - E04RJ e04rj = new E04RJ(); - e04rj.eval(handle, nclin, bla, bua, nnza, irowa, icola, a , idlc, ifail); - - // Optional parameters - E04ZM e04zm = new E04ZM(); - e04zm.eval(handle, "Task = Max", ifail); - e04zm.eval(handle, "Print Options = No", ifail); - e04zm.eval(handle, "Print Level = 1", ifail); - e04zm.eval(handle, "Print Solution = X", ifail); - - // Call the LP solver - x = new double[nvar + 1]; - nnzu = 0; - ifail = -1; - E04MT e04mt = new E04MT(); - MONIT monit = new MONIT(); - e04mt.eval(handle, nvar, x ,nnzu, u, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - - // Add a variable - ifail = 0; - E04TA e04ta = new E04TA(); - e04ta.eval(handle, 1, nvar, ifail); - nvar = e04ta.getNVAR(); - - // Box constraint on the new variable - ifail = 0; - E04TD e04td = new E04TD(); - e04td.eval(handle, "variable", nvar, 0.0, 50.0, ifail); - - // Add the linear objective component - ifail = 0; - E04TE e04te = new E04TE(); - e04te.eval(handle, 3, 7.0, ifail); - - // Add linear constraints coefficients - E04TJ e04tj = new E04TJ(); - ifail = 0; - e04tj.eval(handle, 1, 3, 5.0, ifail); - ifail = 0; - e04tj.eval(handle, 2, 3, 12.0, ifail); - ifail = 0; - e04tj.eval(handle, 3, 3, 120.0, ifail); - - System.out.println("\n The new variable has been added, solve the handle again\n"); - - // Solve the problem again - ifail = -1; - e04mt.eval(handle, nvar, x, nnzu, u, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - - // Add a linear constraint - nclin = 1; - bla[0] = -infbnd; - bua[0] = 100.0; - nnza = 2; - irowa[0] = 1; - irowa[1] = 1; - icola[0] = 2; - icola[1] = 3; - a[0] = 1.0; - a[1] = 1.0; - idlc = 0; - e04rj.eval(handle, nclin, bla, bua ,nnza, irowa, icola, a ,idlc, ifail); - - System.out.println("\n The new constraint has been added, solve the handle again\n"); - - // Query the problem sizes to request the Lagrangian multipliers for the - // last solve - ioflag = 1; - liarr = 100; - E04RW e04rw = new E04RW(); - e04rw.eval(handle, "pinfo", ioflag, liarr, pinfo, ifail); - nnzu = pinfo[10]; - ulag = new double[nnzu]; - - // Solve the problem again - ifail = -1; - e04mt.eval(handle, nvar, x ,nnzu, ulag, rinfo, stats, monit, iuser, ruser, cpuser, ifail); - - // Free the memory - ifail = 0; - E04RZ e04rz = new E04RZ(); - e04rz.eval(handle, ifail); - } - - public static class MONIT extends E04MT.Abstract_E04MT_MONIT { - - public void eval() { - E04MTU e04mtu = new E04MTU(); - e04mtu.eval(this.HANDLE, this.RINFO, this.STATS, this.IUSER, this.RUSER, - this.CPUSER, this.INFORM); - this.INFORM = e04mtu.getINFORM(); - } - } -} diff --git a/simple_examples/E04TCJE.java b/simple_examples/E04TCJE.java deleted file mode 100644 index d28d78b..0000000 --- a/simple_examples/E04TCJE.java +++ /dev/null @@ -1,263 +0,0 @@ -import com.nag.routines.E04.E04FFU; -import com.nag.routines.E04.E04GG; -import com.nag.routines.E04.E04GGU; -import com.nag.routines.E04.E04GGV; -import com.nag.routines.E04.E04RA; -import com.nag.routines.E04.E04RM; -import com.nag.routines.E04.E04TB; -import com.nag.routines.E04.E04TC; -import com.nag.routines.E04.E04TD; -import com.nag.routines.E04.E04ZM; -import java.io.BufferedReader; -import java.io.FileReader; -import java.text.NumberFormat; -import java.util.logging.Level; -import java.util.logging.Logger; -import java.util.Arrays; - -/** - * E04TC example program text. - * @author Mo - */ -public class E04TCJE { - - public static void main(String[] args) { - double[] rx, x, udt, udy; - double[] rinfo = new double[100], ruser = new double[0], - stats = new double[100]; - int ifail, isparse, nnzrd, nres, nvar, udnres; - int[] icolrd = new int[0], irowrd = new int[0], iuser = new int[0]; - int[] idx; - long cpuser, handle; // c_ptr - LSQFUN lsqfun = new LSQFUN(); - LSQGRD lsqgrd = new LSQGRD(); - LSQHES lsqhes = new LSQHES(); - LSQHPRD lsqhprd = new LSQHPRD(); - MONIT monit = new MONIT(); - - /* Header */ - System.out.printf(" E04TCJ Example Program Results\n\n"); - try { - - handle = 0L; - cpuser = 0L; - - BufferedReader br = new BufferedReader(new FileReader(args[0])); - String line = br.readLine(); // read the header - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - String[] data = line.split("\\s+"); - - /* Read number of residuals */ - nres = Integer.parseInt(data[0]); - - udnres = nres; - - /* Allocate memory */ - udt = new double[nres]; - udy = new double[nres]; - - /* Read observations */ - - for (int ii = 0; ii < nres; ii += 3) { - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - for (int jj = 0; jj < 3; ++jj) { - udt[ii+jj] = Double.parseDouble(data[jj]); - } - } - - for (int ii = 0; ii < nres; ii += 3) { - line = br.readLine().trim(); - line.replaceAll("\\s+", " "); - data = line.split("\\s+"); - for (int jj = 0; jj < 3; ++jj) { - udy[ii+jj] = Double.parseDouble(data[jj]); - } - } - - /* try to fit the model */ - /* f(t) = at^2 + bt + c + d sin(omega t) */ - /* To the data {(t_i, y_i)} */ - nvar = 5; - - /* Initialize the NAG optimization handle */ - E04RA e04ra = new E04RA(); - ifail = 0; // hard fail - e04ra.eval(handle, nvar, ifail); - handle = e04ra.getHANDLE(); - - /* Define a dense nonlinear least-squares objective function */ - /* (isparse = 0 => the sparsity pattern of the Jacobian */ - /* doesn't need to be defined) */ - E04RM e04rm = new E04RM(); - isparse = 0; - nnzrd = 1; - e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); - - /* Set some optional parameters to control the output of the solver */ - E04ZM e04zm = new E04ZM(); - e04zm.eval(handle, "Print Options = No", ifail); - e04zm.eval(handle, "Print Solution = X", ifail); - e04zm.eval(handle, "Print Level = 1", ifail); - - System.out.println("First solve the problem with the outliers"); - System.out.println(); - System.out.println("--------------------------------------------------------"); - - /* Call the solver */ - E04GG e04gg = new E04GG(); - x = new double[nvar]; - for (int ii = 0; ii < nvar; ++ii) { - x[ii] = 1.0; - } - rx = new double[nres]; - iuser = new int[] {udnres}; - ruser = new double[2 * udnres];; - for (int ii = 0; ii < udnres; ii++) { - ruser[ii] = udt[ii]; - ruser[udnres + ii] = udy[ii]; - } - ifail = -1; - e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, - rx, rinfo, stats, iuser, ruser, cpuser, ifail); - - System.out.println("--------------------------------------------------------"); - System.out.println(); - System.out.println("Now remove the outlier residuals from the problem handle"); - System.out.println(); - System.out.println("--------------------------------------------------------"); - - /* Disable the two outlier residuals */ - E04TC e04tc = new E04TC(); - idx = new int[] {10, 20}; - e04tc.eval(handle, "NLS", 2, idx, ifail); - - /* Solve the problem again */ - for (int ii = 0; ii < nvar; ++ii) { - x[ii] = 1.0; - } - ifail = -1; - e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, - rx, rinfo, stats, iuser, ruser, cpuser, ifail); - - System.out.println("--------------------------------------------------------"); - System.out.println(); - System.out.println("Assuming the outliers points are measured again"); - System.out.println("we can enable the residuals and adjust the values"); - System.out.println(); - System.out.println("--------------------------------------------------------"); - - /* Fix the first variable to its known value of 0.3 */ - /* enable the residuals and adjust the values in the data */ - E04TD e04td = new E04TD(); - e04td.eval(handle, "variable", 1, 0.3, 0.3, ifail); - E04TB e04tb = new E04TB(); - e04tb.eval(handle, "NLS", 2, idx, ifail); - udy[9] = -0.515629; - udy[19] = 0.54920; - - /* Solve the problem */ - for (int ii = 0; ii < nvar; ++ii) { - x[ii] = 1.0; - } - ifail = -1; - e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, - rx, rinfo, stats, iuser, ruser, cpuser, ifail); - - } - catch (Exception ex) { - Logger.getLogger(E04TCJE.class.getName()).log(Level.SEVERE, null, ex); - } - - } - - public static class LSQFUN extends E04GG.Abstract_E04GG_LSQFUN { - - public void eval() { - int udnres; - double[] udt, udy; - - /* Unpack the user data from cpuser */ - udnres = this.IUSER[0]; - udt = Arrays.copyOfRange(this.RUSER, 0, udnres); - udy = Arrays.copyOfRange(this.RUSER, udnres, udnres + udnres); - - for (int i = 0; i < this.NRES; i++) { - this.RX[i] = 0.0; - } - - for (int i = 0; i < this.NRES; i++) { - this.RX[i] = (this.X[0] * Math.pow(udt[i],2) + this.X[1] * udt[i] + - this.X[2] + this.X[3] * Math.sin(this.X[4] * udt[i])) - - udy[i]; - } - - this.INFORM = 0; - - } - - } - - public static class LSQGRD extends E04GG.Abstract_E04GG_LSQGRD { - - public void eval() { - int udnres; - double[] udt, udy; - - /* Unpack the user data from cpuser */ - udnres = this.IUSER[0]; - udt = Arrays.copyOfRange(this.RUSER, 0, udnres); - udy = Arrays.copyOfRange(this.RUSER, udnres, udnres + udnres); - - for (int i = 1; i <= this.NRES; i++) { - this.RDX[((i-1)*this.NVAR + 1) - 1] = Math.pow(udt[i-1],2); - this.RDX[((i-1)*this.NVAR + 2) - 1] = udt[i-1]; - this.RDX[((i-1)*this.NVAR + 3) - 1] = 1.0; - this.RDX[((i-1)*this.NVAR + 4) - 1] = Math.sin(this.X[4] * udt[i-1]); - this.RDX[((i-1)*this.NVAR + 5) - 1] = this.X[3] * udt[i-1] * - Math.cos(this.X[4] * udt[i-1]); - - } - - this.INFORM = 0; - - } - - } - - public static class LSQHES extends E04GG.Abstract_E04GG_LSQHES { - - public void eval() { - E04GGU e04ggu = new E04GGU(); - e04ggu.eval(this.NVAR, this.X, this.NRES, this.LAMBDA, this.HX, - this.INFORM, this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ggu.getINFORM(); - } - - } - - public static class LSQHPRD extends E04GG.Abstract_E04GG_LSQHPRD { - - public void eval() { - E04GGV e04ggv = new E04GGV(); - e04ggv.eval(this.NVAR, this.X, this.Y, this.NRES, this.HXY, this.INFORM, - this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ggv.getINFORM(); - } - - } - - public static class MONIT extends E04GG.Abstract_E04GG_MONIT { - - public void eval() { - E04FFU e04ffu = new E04FFU(); - e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, - this.IUSER, this.RUSER, this.CPUSER); - this.INFORM = e04ffu.getINFORM(); - } - - } - -} diff --git a/simple_examples/E04UCJE.java b/simple_examples/E04UCJE.java deleted file mode 100644 index e43d457..0000000 --- a/simple_examples/E04UCJE.java +++ /dev/null @@ -1,211 +0,0 @@ -import com.nag.routines.E04.E04UC; -import com.nag.routines.E04.E04WB; -import com.nag.routines.E04.E04UE; -import com.nag.routines.F06.DGEMV; -import java.util.Arrays; - -/** - * E04UC example program text. - * @author joed - */ -public class E04UCJE { - - public static final double ONE = 1.0, ZERO = 0.0; - public static final int INC1 = 1, LCWSAV = 1, LIWSAV = 610, LLWSAV = 120, LRWSAV = 475; - public static CONFUN confun = new CONFUN(); - public static OBJFUN objfun = new OBJFUN(); - - public static void main(String[] args) { - - /* Local Scalars */ - double objf; - int i, ifail, inform, iter, j, lda, ldcj, ldr, liwork, lwork, n, nclin, ncnln, sda, sdcjac; - /* Local Arrays */ - double[] a, bl, bu, c, cjac, clamda, objgrd, r, work, x; - double[] ruser = new double[1], rwsav = new double[LRWSAV]; - int[] istate, iwork; - int[] iuser = new int[1], iwsav = new int[LIWSAV]; - boolean[] lwsav = new boolean[LLWSAV]; - String[] cwsav = new String[LCWSAV]; - Arrays.fill(cwsav, - " "); - - System.out.println(" E04UCJ Example Program Results"); - - /* Set scalars */ - n = 4; - nclin = 1; - ncnln = 2; - liwork = 3*n + nclin + 2*ncnln; - lda = Math.max(1, nclin); - sda = (nclin > 0) ? n : 1; - ldcj = Math.max(1, ncnln); - sdcjac = (ncnln > 0) ? n : 1; - ldr = n; - - if (ncnln == 0 && nclin > 0) { - lwork = 2*n*n + 20*n + 11*nclin; - } - else if (ncnln > 0 && nclin >= 0) { - lwork = 2*n*n + n*nclin + 2*n*ncnln + 20*n + 11*nclin + 21*ncnln; - } - else { - lwork = 20*n; - } - - /* Set arrays */ - istate = new int[n + nclin + ncnln]; - iwork = new int[liwork]; - c = new double[Math.max(1, ncnln)]; - cjac = new double[ldcj * sdcjac]; - clamda = new double[n + nclin + ncnln]; - objgrd = new double[n]; - r = new double[ldr * n]; - work = new double[lwork]; - - a = new double[]{1.0, 1.0, 1.0, 1.0}; - bl = new double[]{1.0, 1.0, 1.0, 1.0, -1.0E+25, -1.0E+25, 25.0}; - bu = new double[]{5.0, 5.0, 5.0, 5.0, 20.0, 40.0, 1.0E+25}; - x = new double[]{1.0, 5.0, 5.0, 1.0}; - - /* Initialise E04UC */ - E04WB e04wb = new E04WB(); - ifail = 0; - e04wb.eval("E04UCA", cwsav, LCWSAV, lwsav, LLWSAV, iwsav, LIWSAV, rwsav, LRWSAV, ifail); - E04UE e04ue = new E04UE(); - inform = 0; - e04ue.eval("Print Level = 10", lwsav, iwsav, rwsav, inform); - - /* Solve the problem */ - E04UC e04uc = new E04UC(); - iter = 0; - objf = 0.0; - ifail = -1; - e04uc.eval(n, nclin, ncnln, lda, ldcj, ldr, a, bl, bu, confun, objfun, iter, istate, c, - cjac, clamda, objf, objgrd, r, x, iwork, liwork, work, lwork, iuser, ruser, - lwsav, iwsav, rwsav, ifail); - iter = e04uc.getITER(); - objf = e04uc.getOBJF(); - ifail = e04uc.getIFAIL(); - - if ((0 >= ifail && ifail <= 6) || ifail == 8) { - System.out.println(); - System.out.println(" Varbl Istate Value Lagr Mult"); - System.out.println(); - - for (i = 0; i < n; i++) { - System.out.printf(" V %3d %3d %13.6G %13.4G\n", i+1, istate[i], x[i], clamda[i]); - } - - if (nclin > 0) { - - /* A*x --> work. - * The NAG name equivalent of DGEMV is F06PA */ - DGEMV dgemv = new DGEMV(); - dgemv.eval("N", nclin, n, ONE, a, lda, x, INC1, ZERO, work, INC1); - - System.out.println(); - System.out.println(); - System.out.println(" L Con Istate Value Lagr Mult"); - System.out.println(); - - for (i = n; i < n+nclin; i++) { - j = i - n; - System.out.printf(" L %3d %3d %13.6G %13.4G\n", j+1, istate[i], work[j], clamda[i]); - } - - } - - if (ncnln > 0) { - System.out.println(); - System.out.println(); - System.out.println(" N Con Istate Value Lagr Mult"); - System.out.println(); - - for (i = n+nclin; i < n+nclin+ncnln; i++) { - j = i - n - nclin; - System.out.printf(" N %3d %3d %13.6G %13.4G\n", j+1, istate[i], c[j], clamda[i]); - } - - } - - System.out.println(); - System.out.println(); - System.out.printf(" Final objective value = %11.7G\n", objf); - - } - - } - - /** Routine to evaluate objective function and its 1st derivatives. */ - public static class OBJFUN extends E04UC.Abstract_E04UC_OBJFUN { - - public void eval() { - - if (MODE == 0 || MODE == 2) { - OBJF = X[0] * X[3] * (X[0]+X[1]+X[2]) + X[2]; - } - - if (MODE == 1 || MODE == 2) { - OBJGRD[0] = X[3] * (X[0]+X[0]+X[1]+X[2]); - OBJGRD[1] = X[0] * X[3]; - OBJGRD[2] = X[0] * X[3] + ONE; - OBJGRD[3] = X[0] * (X[0]+X[1]+X[2]); - } - - } - - } - - /** Routine to evaluate the nonlinear constraints and their 1st derivatives. */ - public static class CONFUN extends E04UC.Abstract_E04UC_CONFUN { - - public void eval() { - - if (NSTATE == 1) { - - /* First call to CONFUN. Set all Jacobian elements to zero. - * Note that this will only work when 'Derivative Level = 3' - * (the default; see Section 11.2). */ - - for (int i = 0; i < CJAC.length; ++i) { - CJAC[i] = 0; - } - - } - - if (NEEDC[0] > 0) { - - if (MODE == 0 || MODE == 2) { - C[0] = X[0]*X[0] + X[1]*X[1] + X[2]*X[2] + X[3]*X[3]; - } - - if (MODE == 1 || MODE == 2) { - CJAC[0] = X[0] + X[0]; - CJAC[LDCJ] = X[1] + X[1]; - CJAC[2*LDCJ] = X[2] + X[2]; - CJAC[3*LDCJ] = X[3] + X[3]; - } - - } - - if (NEEDC[1] > 0) { - - if (MODE == 0 || MODE == 2) { - C[1] = X[0]*X[1]*X[2]*X[3]; - } - - if (MODE == 1 || MODE == 2) { - CJAC[1] = X[1]*X[2]*X[3]; - CJAC[1+LDCJ] = X[0]*X[2]*X[3]; - CJAC[1+2*LDCJ] = X[0]*X[1]*X[3]; - CJAC[1+3*LDCJ] = X[0]*X[1]*X[2]; - } - - } - - } - - } - -} diff --git a/simple_examples/E04YAJE.java b/simple_examples/E04YAJE.java deleted file mode 100644 index 72d80da..0000000 --- a/simple_examples/E04YAJE.java +++ /dev/null @@ -1,112 +0,0 @@ -import com.nag.routines.E04.E04YA; - - -/** - * E04YA example program text. - * @author joed - */ -public class E04YAJE { - - public static LSQFUN lsqfun = new LSQFUN(); - public static final int LIW = 1, MDEC = 15, NDEC = 3; - public static final int LDFJAC = MDEC; - public static final int LW = 3*NDEC + MDEC + MDEC*NDEC; - public static double[] t = new double[MDEC*NDEC], y = new double[MDEC]; - - /** Routine to evaluate the residuals and their 1st derivatives. */ - public static class LSQFUN extends E04YA.Abstract_E04YA_LSQFUN { - - public void eval() { - double denom, dummy; - int i; - - for (i = 0; i < M; i++) { - denom = (XC[1] * t[MDEC + i]) + (XC[2] * t[2*MDEC + i]); - - if (IFLAG != 1) { - FVEC[i] = XC[0] + (t[i]/denom) - y[i]; - } - - if (IFLAG != 0) { - FJAC[i] = 1.0; - dummy = -1.0/(denom*denom); - FJAC[MDEC + i] = t[i] * t[MDEC + i] * dummy; - FJAC[2*MDEC + i] = t[i] * t[2*MDEC + i] * dummy; - } - - } - } - - } - - public static void main(String[] args) { - int i, ifail, m, n; - double[] fjac = new double[LDFJAC*NDEC], fvec = new double[MDEC], - w = new double[LW], x = new double[NDEC]; - int[] iw = new int[LIW]; - - System.out.println(" E04YAJ Example Program Results"); - - n = NDEC; - m = MDEC; - - /* Observations of TJ (J = 1, 2, ..., n) are held in T(I, J) - * (I = 1, 2, ..., m) */ - - y = new double[]{0.14, 0.18, 0.22, 0.25, 0.29, 0.32, 0.35, 0.39, 0.37, - 0.58, 0.73, 0.96, 1.34, 2.10, 4.39}; - for (i = 0; i < m; i++) { - t[i] = i + 1.0; - t[m + i] = 15.0 - i; - t[2*m + i] = -Math.abs(i - 7.0) + 8.0; - } - - /* Set up an arbitrary point at which to check the 1st derivatives */ - - x[0] = 0.19; - x[1] = -1.34; - x[2] = 0.88; - - System.out.println(); - System.out.println("The test point is"); - System.out.printf(" "); - for (i = 0; i < n; i++) { - System.out.printf("%10.5f", x[i]); - } - System.out.printf("\n"); - - E04YA e04ya = new E04YA(); - ifail = -1; - e04ya.eval(m, n, lsqfun, x, fvec, fjac, LDFJAC, iw, LIW, w, LW, ifail); - ifail = e04ya.getIFAIL(); - - if (ifail >= 0 && ifail != 1) { - - switch (ifail) { - case 0: - System.out.println(); - System.out.println("1st derivatives are consistent with residual values"); - break; - case 2: - System.out.println(); - System.out.println("Probable error in calculation of 1st derivatives"); - break; - default: - } - - System.out.println(); - System.out.println("At the test point, LSQFUN gives"); - System.out.println(); - System.out.println(" Residuals 1st derivatives"); - for (i = 0; i < m; i++) { - System.out.printf(" %15.3E", fvec[i]); - System.out.printf("%15.3E", fjac[i]); - System.out.printf("%15.3E", fjac[LDFJAC + i]); - System.out.printf("%15.3E\n", fjac[2*LDFJAC + i]); - } - - } - - } - -} diff --git a/simple_examples/F01ADJE.java b/simple_examples/F01ADJE.java deleted file mode 100644 index 4167f71..0000000 --- a/simple_examples/F01ADJE.java +++ /dev/null @@ -1,39 +0,0 @@ -import com.nag.routines.F01.F01AD; -import com.nag.routines.X04.X04CA; - - -/** - * F01AD example program text. - * @author joed - */ -public class F01ADJE { - - public static void main(String[] args) { - - int i, ifail, lda, n; - double[] a; - - System.out.println(" F01ADJ Example Program Results"); - System.out.println(); - - n = 4; - lda = n + 1; - a = new double[] { - 5.0, 7.0, 6.0, 5.0, 0.0, - 7.0, 10.0, 8.0, 7.0, 0.0, - 6.0, 8.0, 10.0, 9.0, 0.0, - 5.0, 7.0, 9.0, 10.0, 0.0 - }; - - F01AD f01ad = new F01AD(); - ifail = -1; - f01ad.eval(n, a, lda, ifail); - ifail = f01ad.getIFAIL(); - - /* Print the result matrix A */ - X04CA x04ca = new X04CA(); - x04ca.eval("L", "B", lda, n, a, lda, "Lower triangle of inverse", ifail); - - } - -} diff --git a/simple_examples/F01CKJE.java b/simple_examples/F01CKJE.java deleted file mode 100644 index ed3ffa2..0000000 --- a/simple_examples/F01CKJE.java +++ /dev/null @@ -1,60 +0,0 @@ -import com.nag.routines.F01.F01CK; -import com.nag.routines.X04.X04CB; -import java.util.logging.Level; -import java.util.logging.Logger; - - -/** - * F01CK example program text. - * @author ludovic - */ -public class F01CKJE { - - public static void main(String[] args) { - - double[] a, b, c, z; - int n, p, m, iz, opt; - int ifail; - - m = 3; - n = p = 2; - iz = 1; - opt = 1; - a = new double[n * p]; - b = new double[n * m]; - c = new double[m * p]; - z = new double[iz]; - ifail = 0; - - System.out.println(" F01CKJ Example Program Results"); - - // Initialising b and c - - for (int i = 0; i < m; ++i) { - for (int j = 0; j < n; ++j) { - b[j+i*n] = (double) (i+j); - } - for (int j = 0; j < p; ++j) { - c[i+j*m] = (double) (i+j); - } - } - - F01CK f01ck = new F01CK(a, b, c, n, p, m, z, iz, opt, ifail); - f01ck.eval(); - ifail = f01ck.getIFAIL(); - String title = "Matrix A"; - System.out.println(); - System.out.flush(); - ifail = 0; - - String matrix = "G", diag = "N", nolabel = "N", form = "F7.1"; - String[] dummy = {" "}; - int ncols = 80; - int indent = 0; - - (new X04CB()).eval(matrix,diag,n,p,a,n,form,title,nolabel,dummy,nolabel, - dummy,ncols,indent, ifail); - - } - -} diff --git a/simple_examples/F01CRJE.java b/simple_examples/F01CRJE.java deleted file mode 100644 index c10b284..0000000 --- a/simple_examples/F01CRJE.java +++ /dev/null @@ -1,47 +0,0 @@ -import com.nag.routines.F01.F01CR; -import java.util.logging.Level; -import java.util.logging.Logger; - - -/** - * F01CR example program text. - * @author ludovic - */ -public class F01CRJE { - - public static void main(String[] args) { - System.out.println(" F01CRJ Example Program Results"); - double[] a; - int m,n,mn,lmove; - int[] move; - int ifail; - n = 7; - m = 3; - mn = m*n; - lmove = (m + n)/2; - a = new double[mn]; - move = new int[lmove]; - ifail = 1; - - for (int i = 0; i < mn; i++) { - a[i] = i+1.0; - } - - F01CR f01cr = new F01CR(a, m, n, mn, move, lmove, ifail); - f01cr.eval(); - - System.out.println(); - int index = 0; - for (int i = 0; i < mn; ++i) { - System.out.printf(" %7.1f",a[i]); - ++index; - if (index == 7) { - System.out.println(); - index = 0; - } - } - System.out.println(); - - } - -} diff --git a/simple_examples/F01DGJE.java b/simple_examples/F01DGJE.java deleted file mode 100644 index 107137f..0000000 --- a/simple_examples/F01DGJE.java +++ /dev/null @@ -1,72 +0,0 @@ -import com.nag.routines.F01.F01DG; -import com.nag.routines.X04.X04CA; - -/** - * F01DG example program text. - * @author joed - * @since 27.0.0.0 - */ -public class F01DGJE { - - /** - * F01DG example main program. - */ - public static void main(String[] args) { - - F01DG f01dg = new F01DG(); - X04CA x04ca = new X04CA(); - double alpha; - int i, ifail, lda, ldb, n; - String side, transa, uplo; // Length 1 - double[] a, b; - - System.out.println("F01DGJ Example Program Results\n"); - - // Values for side, uplo and transa - side = "L"; - uplo = "U"; - transa = "T"; - - // Order of square matrices - n = 4; - lda = n; - ldb = n; - - // Scaling constant alpha - alpha = 0.4; - - // Set input matrices (column-major order) - a = new double[]{ - 1.5, 0.0, 0.0, 0.0, - 2.3, 3.4, 0.0, 0.0, - 6.7, 5.4, 8.1, 0.0, - 1.9, 8.6, 2.0, 5.9 - }; - b = new double[]{ - 3.5, 0.0, 0.0, 0.0, - 2.1, 5.6, 0.0, 0.0, - 4.0, 2.1, 1.7, 0.0, - 2.1, 2.5, 1.1, 7.4 - }; - - /* ifail: behaviour on error exit - * = 0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft */ - ifail = 0; - - // Find B=alpha*A*B - f01dg.eval(side, uplo, transa, n, alpha, a, lda, b, ldb, ifail); - ifail = f01dg.getIFAIL(); - - // Print the solution - if (ifail == 0) { - if (transa.equals("N")) { - x04ca.eval(uplo, "N", n, n, b, n, "Solution matrix B", ifail); - } - else { - x04ca.eval("G", "N", n, n, b, n, "Solution matrix B", ifail); - } - } - - } - -} diff --git a/simple_examples/F01ELJE.java b/simple_examples/F01ELJE.java deleted file mode 100644 index 93ffe77..0000000 --- a/simple_examples/F01ELJE.java +++ /dev/null @@ -1,89 +0,0 @@ -import com.nag.routines.F01.F01EL; -import com.nag.routines.Routine; -import com.nag.routines.X04.X04CA; -import com.nag.types.NAGComplex; -import com.nag.types.NAGComplexInterface; -import java.util.Arrays; - -/** - * F01EL example program text. - * @author joed - */ -public class F01ELJE { - - public static void main(String[] args) { - - F01EL f01el = new F01EL(); - X04CA x04ca = new X04CA(); - - FCos2 fcos2 = new FCos2(); - double imnorm; - int i, ifail, iflag, lda, n; - double[] a, ruser = new double[1]; - int[] iuser = new int[1]; - - Routine.setComplex(new NAGComplex()); - - System.out.println(" F01ELJ Example Program Results"); - System.out.println(); - - // Problem data - n = 4; - a = new double[] { - 3.0, -1.0, 0.0, 2.0, 0.0, 1.0, 2.0, 1.0, 1.0, 3.0, 2.0, -1.0, 2.0, 1.0, 1.0, 1.0 - }; - - // Find f(A) - lda = n; - iflag = 0; - imnorm = 0; - ifail = 0; - f01el.eval(n, a, lda, fcos2, iuser, ruser, iflag, imnorm, ifail); - - // Print solution - ifail = 0; - x04ca.eval("G", "N", n, n, a, lda, "F(A) = COS(2A)", ifail); - - // Print the norm of the imaginary part to check it is small - System.out.println(); - System.out.println(" Imnorm = " + imnorm); - - } - - public static class FCos2 extends F01EL.Abstract_F01EL_F { - - /* These methods should really be part of an extension of NAGComplex. */ - - private NAGComplex complexCos(NAGComplexInterface z) { - NAGComplex cosz = new NAGComplex(); - cosz.setRe(Math.cos(z.getRe()) * Math.cosh(z.getIm())); - cosz.setIm(-Math.sin(z.getRe()) * Math.sinh(z.getIm())); - return cosz; - } - - private NAGComplex complexMult(NAGComplexInterface a, NAGComplexInterface b) { - NAGComplex ab = new NAGComplex(); - ab.setRe((a.getRe()*b.getRe()) - (a.getIm()*b.getIm())); - ab.setIm((a.getRe()*b.getIm()) + (a.getIm()*b.getRe())); - return ab; - } - - /* Calculate F(A) = COS(2A) */ - - public void eval() { - - NAGComplex two = new NAGComplex(); - two.setRe(2.0); - two.setIm(0.0); - - for (int i = 0; i < this.NZ; i++) { - this.FZ[i] = (NAGComplex) complexCos(complexMult(two, this.Z[i])); - } - - this.IFLAG = 0; - - } - - } - -} diff --git a/simple_examples/F01EMJE.java b/simple_examples/F01EMJE.java deleted file mode 100644 index 716a7b5..0000000 --- a/simple_examples/F01EMJE.java +++ /dev/null @@ -1,106 +0,0 @@ -import com.nag.routines.F01.F01EM; -import com.nag.routines.X04.X04CA; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; - -/** - * F01EMJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class F01EMJE{ - - /** - * F01EMJ Example main program - */ - public static void main(String[] args){ - double imnorm = 0; - int ifail, iflag = 0, lda, n; //placeholders - double[] a, ruser; - int[] iuser; - - ruser = new double[1]; - iuser = new int[1]; - - System.out.println("F01EMJ Example Program Results"); - System.out.println(); - - //Tell wrapper what type of complex type is going to be used - Routine.setComplex(new NAGComplex()); - - //Problem size - n = 4; - lda = n; - - //Allocate - a = new double[lda * n]; - - //Data - //A = ( 1, 0,-2, 1) - // (-1, 2, 0, 1) - // ( 2, 0, 1, 0) - // ( 1, 0,-2, 2) - a[0] = 1; - a[1] = -1; - a[2] = 2; - a[3] = 1; - a[4] = 0; - a[5] = 2; - a[6] = 0; - a[7] = 0; - a[8] = -2; - a[9] = 0; - a[10] = 1; - a[11] = -1; - a[12] = 1; - a[13] = 1; - a[14] = 0; - a[15] = 2; - - //Find f(A) - ifail = 0; - //Create fexp2 object to pass to wrapper - fexp2 f = new fexp2(); - F01EM f01em = new F01EM(n, a, lda, f, iuser, ruser, iflag, imnorm, ifail); - f01em.eval(); - - //Print solution - ifail = 0; - X04CA x04ca = new X04CA("G", "N", n, n, a, lda, "F(A) = EXP(2A)", ifail); - x04ca.eval(); - - //Print the norm oof the imaginary part to check if it small - System.out.println(); - System.out.printf("Imnorm = %.2f\n", imnorm); - } - - /** - * fexp2 class representing f routine argument - */ - public static class fexp2 extends F01EM.Abstract_F01EM_F{ - public void eval(){ - NAGComplex two = new NAGComplex(2, 0); - NAGComplex twoPowM = new NAGComplex(2, 0); - - twoPowM.setRe(Math.pow(2, this.M)); - - for(int i = 0; i < this.NZ; i++){ - this.FZ[i] = NAGComplex.multiply(twoPowM, this.complexExp(NAGComplex.multiply(two, (NAGComplex) this.Z[i]))); - } - - //Set iflag nonzero to terminate exectuion for any reason - this.IFLAG = 0; - } - - //Raises e ^ z where z is a complex number - //Uses eulers formula; - //c ^ (a + bi) = c^a * ((cos(bln(c))) + isin(bln(c))) - public NAGComplex complexExp(NAGComplex x){ - NAGComplex tmp = new NAGComplex(); - tmp.setRe(Math.cos(x.getIm())); - tmp.setIm(Math.sin(x.getIm())); - NAGComplex ans = NAGComplex.multiply(new NAGComplex(Math.exp(x.getRe()), 0), tmp); - return ans; - } - } -} diff --git a/simple_examples/F02EKJE.java b/simple_examples/F02EKJE.java deleted file mode 100644 index ffdced6..0000000 --- a/simple_examples/F02EKJE.java +++ /dev/null @@ -1,227 +0,0 @@ -import com.nag.routines.F02.F02EK; -import com.nag.routines.F12.F12AD; -import com.nag.routines.Routine; -import com.nag.routines.X02.X02AJ; -import com.nag.types.NAGComplex; -import com.nag.types.NAGComplexInterface; -import java.util.Arrays; - -/** - * F02EK example program text. - * @author joed - */ -public class F02EKJE { - - public static MYMONIT mymonit = new MYMONIT(); - public static MYOPTION myoption = new MYOPTION(); - - public static void main(String[] args) { - F02EK f02ek = new F02EK(); - X02AJ x02aj = new X02AJ(); - double h, rho, s, sigma; - int ifail, imon, k, ldv, maxit, mode, n, nconv, ncv, nev, nnz, nx, - prtlvl; - NAGComplex complex = new NAGComplex(); - double[] a, resid, v, ruser = new double[1]; - int[] icolzp, irowix, iuser = new int[4]; - NAGComplex[] w; - - Routine.setComplex(complex); - - System.out.println(" F02EKJ Example Program Results"); - System.out.println(); - - nx = 10; - nev = 4; - ncv = 20; - rho = 10.0; - sigma = 5.5; - - n = nx * nx; - nnz = 3*n - 2; - ldv = n; - - resid = new double[ncv]; - a = new double[nnz]; - icolzp = new int[n + 1]; - irowix = new int[nnz]; - w = (NAGComplex[]) complex.getArrayOfInstances(ncv); - v = new double[ldv * ncv]; - - // Construct A in compressed column storage (CCS) format where: - // A{ i , i } = 2 + i - // A{i+1, i } = 3 - // A{ i , i+1} = rho/(2n+2) - 1 - - h = 1.0 / (double)(n+1); - s = (rho * h / 2.0) - 1.0; - - a[0] = 2.0 + 1.0; - a[1] = 3.0; - icolzp[0] = 1; - irowix[0] = 1; - irowix[1] = 2; - k = 3; - - for (int i = 1; i < n - 1; i++) { - icolzp[i] = k; - irowix[k - 1] = i; - irowix[k] = i + 1; - irowix[k + 1] = i + 2; - a[k - 1] = s; - a[k] = 2.0 + (double)(i + 1); - a[k + 1] = 3.0; - k += 3; - } - - icolzp[n - 1] = k; - icolzp[n] = k + 2; - irowix[k - 1] = n - 1; - irowix[k] = n; - a[k - 1] = s; - a[k] = 2.0 + (double)(n); - - // Set some options via iuser array and return routine argument OPTION - // iuser[0] = print level - // iuser[1] = iteration limit - // iuser[2] > 0 means shifted-invert mode - // iuser[3] > 0 means print monitoring info - - prtlvl = 0; - maxit = 500; - mode = 1; - imon = 1; - - if (prtlvl > 0) { - imon = 0; - } - - iuser[0] = prtlvl; - iuser[1] = maxit; - iuser[2] = mode; - iuser[3] = imon; - - nconv = 0; // placeholder value, nconv is output only - ifail = 0; // hard exit on error - - f02ek.eval( - n, nnz, a, icolzp, irowix, nev, ncv, sigma, mymonit, myoption, - nconv, w, v, ldv, resid, iuser, ruser, ifail - ); - ifail = f02ek.getIFAIL(); - nconv = f02ek.getNCONV(); - - System.out.println(); - System.out.printf( - " The %4d Ritz values of closest to %13.5E are:\n", nconv, sigma - ); - - // Get machine precision - double mp = x02aj.eval(); - - for (int i = 0; i < nconv; i++) { - if (resid[i] > (double)(100*n*mp)) { - System.out.printf( - " %8d ( %13.5E , %13.5E ) %13.5E\n", - i + 1, w[i], resid[i] - ); - } - else { - System.out.printf( - " %8d ( %13.5E , %13.5E )\n", - i + 1, w[i].getRe(), w[i].getIm() - ); - } - } - - } - - public static class MYOPTION extends F02EK.Abstract_F02EK_OPTION { - - public void eval() { - F12AD f12ad = new F12AD(); - int ifail1; - String rec = " "; - - this.ISTAT = 0; - - if (this.IUSER[0] > 0) { - System.out.printf("Print Level=%5d\n", this.IUSER[0]); - ifail1 = 1; - f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[1] > 100) { - System.out.printf("Iteration Limit=%5d\n", this.IUSER[1]); - ifail1 = 1; - f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[2] > 0) { - ifail1 = 1; - f12ad.eval( - "Shifted Inverse Real ", this.ICOMM, this.COMM, ifail1 - ); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - } - - } - - public static class MYMONIT extends F02EK.Abstract_F02EK_MONIT { - - public NAGComplexInterface[] getW() { - return this.W; - } - - public void eval() { - - if (this.IUSER[3] > 0) { - - if (this.NITER == 1 && this.IUSER[2] > 0) { - System.out.printf( - " Arnoldi basis vectors used:%4d\n", this.NCV - ); - System.out.printf( - " The following Ritz values (mu) are related to the\n" - + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" - ); - } - - System.out.println(); - System.out.printf(" Iteration number %4d\n", this.NITER); - System.out.printf( - " Ritz values converged so far (%4d) and their Ritz" - + " estimates:\n", this.NCONV - ); - - for (int i = 0; i < this.NCONV; i++) { - System.out.printf( - " %4d (%13.5E,%13.5E) %13.5E\n", - i + 1, this.W[i].getRe(), this.W[i].getIm(), - this.RZEST[i] - ); - } - - System.out.printf(" Next (unconverged) Ritz value:\n"); - - System.out.printf( - " %4d (%13.5E,%13.5E)\n", - this.NCONV + 1, this.W[NCONV].getRe(), this.W[NCONV].getIm() - ); - - } - - this.ISTAT = 0; - - } - - } - -} diff --git a/simple_examples/F02FKJE.java b/simple_examples/F02FKJE.java deleted file mode 100644 index ecdac2e..0000000 --- a/simple_examples/F02FKJE.java +++ /dev/null @@ -1,230 +0,0 @@ -import com.nag.routines.F02.F02FK; -import com.nag.routines.F12.F12FD; -import com.nag.routines.X04.X04AB; -import com.nag.routines.X04.X04CA; -import java.util.Arrays; - -/** - * F02FK example program text. - * @author joed - */ -public class F02FKJE { - - public static MYMONIT mymonit = new MYMONIT(); - public static MYOPTION myoption = new MYOPTION(); - - public static void main(String[] args) { - F02FK f02fk = new F02FK(); - X04AB x04ab = new X04AB(); - X04CA x04ca = new X04CA(); - double h2, sigma; - int iset = 1, ifail, imon, k, ldv, lo, maxit, mode, n, nconv, ncv, nev, - nnz, nx, outchn, prtlvl; - double[] a, dPrint, resid, v, w, ruser = new double[1]; - int[] icol, irow, iuser = new int[4]; - - - System.out.println(" F02FKJ Example Program Results"); - System.out.println(); - - nx = 20; - nev = 8; - ncv = 20; - sigma = 1.0; - - // Construct the matrix A in sparse form and store in A. - // The main diagonal of A is full and there are two subdiagonals of A: - // the first and the nx-th. - - n = nx * nx; - nnz = (3 * n) - (2 * nx); - a = new double[nnz]; - irow = new int[nnz]; - icol = new int[nnz]; - - // Zero out A. - Arrays.fill(a, 0.0); - - // Main diagonal of A. - h2 = 1.0 / (double)((nx + 1) * (nx + 1)); - for (int i = 1; i <= n; i++) { - irow[i - 1] = i; - icol[i - 1] = i; - a[i - 1] = 4.0 / h2; - } - - // First subdiagonal of A. - k = n; - for (int i = 1; i <= nx; i++) { - lo = (i - 1) * nx; - for (int j = lo + 1; j <= lo + nx - 1; j++) { - k += 1; - irow[k - 1] = j + 1; - icol[k - 1] = j; - a[k - 1] = -1.0 / h2; - } - } - - // nx-th subdiagonal. - for (int i = 1; i <= nx - 1; i++) { - lo = (i - 1) * nx; - for (int j = lo + 1; j <= lo + nx; j++) { - k += 1; - irow[k - 1] = j + nx; - icol[k - 1] = j; - a[k - 1] = -1.0 / h2; - } - } - - // Set some options via iuser array and routine argument OPTION. - // iuser[0] = print level, - // iuser[1] = iteration limit, - // iuser[2]>0 means shifted-invert mode - // iuser[3]>0 means print monitoring info - - prtlvl = 0; - maxit = 500; - mode = 1; - imon = 0; - - ruser[0] = 1.0; - iuser[0] = prtlvl; - iuser[1] = maxit; - iuser[2] = mode; - iuser[3] = imon; - - // Find eigenvalues of largest magnitude and the corresponding - // eigenvectors. - - ldv = n; - w = new double[ncv]; - v = new double[ldv * ncv]; - resid = new double[n]; - - nconv = 0; // placeholder - - ifail = -1; - f02fk.eval( - n, nnz, a, irow, icol, nev, ncv, sigma, mymonit, myoption, nconv, - w, v, ldv, resid, iuser, ruser, ifail - ); - ifail = f02fk.getIFAIL(); - nconv = f02fk.getNCONV(); - if (ifail != 0) { - System.err.println(" ** F02FK returned with IFAIL = " + ifail); - } - - - - // Print Eigenvalues and the residual norm ||A*x - lambda*x||. - dPrint = new double[nconv * 2]; - for (int i = 1; i <= nconv; i++) { - dPrint[getIdx(i, 1, nconv)] = w[i - 1]; - dPrint[getIdx(i, 2, nconv)] = resid[i - 1]; - } - - System.out.println(); - - ifail = 0; - x04ca.eval( - "G", "N", nconv, 2, dPrint, nconv, " Ritz values and residuals", - ifail - ); - - } - - public static class MYOPTION extends F02FK.Abstract_F02FK_OPTION { - - public void eval() { - F12FD f12fd = new F12FD(); - int ifail1; - String rec = " "; // Required len = 25 - - this.ISTAT = 0; - - if (this.IUSER[0] > 0) { - System.out.printf(" Print Level=%5d\n", this.IUSER[0]); - ifail1 = 1; - f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12fd.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[1] > 100) { - System.out.printf(" Iteration Limit=%5d\n", this.IUSER[1]); - ifail1 = 1; - f12fd.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12fd.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[2] > 0) { - ifail1 = 1; - f12fd.eval( - "Shifted Inverse ", this.ICOMM, this.COMM, ifail1 - ); - ifail1 = f12fd.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - } - - } - - public static class MYMONIT extends F02FK.Abstract_F02FK_MONIT { - - public void eval() { - - if (this.IUSER[3] > 0) { - - if (this.NITER == 1 && this.IUSER[2] > 0) { - System.out.printf( - " Arnoldi basis vectors used:%4d\n", this.NCV - ); - System.out.printf( - " The following Ritz values (mu) are related to the\n" - + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" - ); - } - - System.out.println(); - System.out.printf(" Iteration number %4d\n", this.NITER); - System.out.printf( - " Ritz values converged so far(%4d) and their Ritz" - + " estimates:\n", this.NCONV - ); - - for (int i = 0; i < this.NCONV; i++) { - System.out.printf( - " %4d %13.5E %13.5E\n", i+1, this.W[i], this.RZEST[i] - ); - } - - System.out.printf(" Next (uncoverged) Ritz value:\n"); - System.out.printf( - " %4d %13.5E\n", this.NCONV + 1, this.W[this.NCONV + 1] - ); - - } - - this.ISTAT = 0; - - } - - } - - /** - * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based - * Java index. - * - *

    Fortran array definition: - * a(dimX, *) - * - *

    Conversion: - * a(x, y) --> A[result] - */ - private static int getIdx(int x, int y, int dimX) { - return ((y-1) * dimX) + (x-1); - } - -} diff --git a/simple_examples/F02WGJE.java b/simple_examples/F02WGJE.java deleted file mode 100644 index 5e077cb..0000000 --- a/simple_examples/F02WGJE.java +++ /dev/null @@ -1,132 +0,0 @@ -import com.nag.routines.F02.F02WG; -import java.util.Arrays; - -/** - * F02WG example program text. - * @author joed - */ -public class F02WGJE { - - public static AV av = new AV(); - - public static void main(String[] args) { - int ifail, k, ldu, ldv, m, n, nconv, ncv; - double[] resid, sigma, u, v; - double[] ruser = new double[1]; - int[] iuser = new int[1]; - - /* Set up wrappers */ - F02WG f02wg = new F02WG(); - - System.out.println(" F02WGJ Example Program Results\n"); - - /* Set F02WG args */ - m = 100; - n = 500; - k = 4; - ncv = 10; - nconv = 0; - ldu = m; - ldv = n; - resid = new double[ncv]; - sigma = new double[ncv]; - u = new double[ldu * ncv]; - v = new double[ldv * ncv]; - ifail = 0; - - /* Call routine */ - f02wg.eval( - m, // Rows in A - n, // Cols in A - k, // Num. of singular values to be computed - ncv, // Dimension of sigma and resid - av, // Subroutine that returns Ax or (A^T)x - nconv, // [Output] - sigma, // [Output] - u, // [Output] - ldu, // 1st dimension of u - v, // [Output] - ldv, // 1st dimension of v - resid, // [Output] - iuser, - ruser, - ifail - ); - - /* Get non-array output args */ - ifail = f02wg.getIFAIL(); - nconv = f02wg.getNCONV(); - - /* Print results */ - System.out.println(" Singular Value Residual"); - for (int i = 0; i < nconv; i++) { - System.out.printf( - " %10.5f %10.2G\n", sigma[i], resid[i] - ); - } - - } - - public static class AV extends F02WG.Abstract_F02WG_AV { - - public void eval() { - - double H = 1.0 / ((double)(this.M + 1)); - double K = 1.0 / ((double)(this.N + 1)); - - if (this.IFLAG == 1) { - - for (int i = 0; i < this.M; i++) { - this.AX[i] = 0.0; - } - - double S = 0.0; - double T = 0.0; - - for (int j = 0; j < this.N; j++) { - T += K; - S = 0.0; - - for (int i = 0; i < Math.min(j+1, this.M); i++) { - S += H; - this.AX[i] += K * S * (T - 1.0) * this.X[j]; - } - for (int i = j + 1; i < this.M; i++) { - S += H; - this.AX[i] += K * T * (S - 1.0) * this.X[j]; - } - - } - - } - else { - - for (int i = 0; i < this.N; i++) { - this.AX[i] = 0.0; - } - - double S = 0.0; - double T = 0.0; - - for (int j = 0; j < this.N; j++) { - T += K; - S = 0.0; - - for (int i = 0; i < Math.min(j+1, this.M); i++) { - S += H; - this.AX[j] += K * S * (T - 1.0) * this.X[i]; - } - for (int i = j + 1; i < this.M; i++) { - S += H; - this.AX[j] += K * T * (S - 1.0) * this.X[i]; - } - - } - - } - - } - - } - -} diff --git a/simple_examples/F03BAJE.java b/simple_examples/F03BAJE.java deleted file mode 100644 index 673ddec..0000000 --- a/simple_examples/F03BAJE.java +++ /dev/null @@ -1,108 +0,0 @@ -import com.nag.routines.F03.F03BA; -import com.nag.routines.F07.F07AD; -import com.nag.routines.X04.X04CA; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * F03BAJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class F03BAJE{ - - /** - * F03BAJ example main program. - */ - public static void main(String[] args){ - double d = 0; - int id = 0, ifail, info = 0, lda = 0, n = 0; - double[] a; - int[] ipiv; - - //Should initialise values so java doesn't give any errors because of try/catch - a = new double[n]; - ipiv = new int[n]; - - System.out.println("F03BAJ Example Program Results"); - - //If file name not given print usage info - if(args.length != 1){ - F03BAJE.usage(); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[1]); - - lda = n; - - //reallocate with values from data file - a = new double[n * lda]; - ipiv = new int[n]; - - //read in matrix - for(int i = 0; i < n; i++){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int j = 0; j < n; j++){ - a[i + (j * n)] = Double.parseDouble(sVal[j]); - } - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - F07AD f07ad = new F07AD(n, n, a, lda, ipiv, info); - f07ad.eval(); - - ifail = 0; - - //Print out matrix - System.out.println(); - X04CA x04ca = new X04CA("G", "N", n, n, a, lda, "Array A after factorization", ifail); - x04ca.eval(); - - System.out.println(); - System.out.println("Pivots"); - for(int i = 0; i < n; i++){ - System.out.printf("\t%d ", ipiv[i]); - } - System.out.printf("\n"); - System.out.println(); - - ifail = 0; - - F03BA f03ba = new F03BA(n, a, lda, ipiv, d, id, ifail); - f03ba.eval(); - d = f03ba.getD(); - id = f03ba.getID(); - - System.out.printf("D = \t%.5f ID = \t%d\n", d, id); - System.out.println(); - System.out.printf("Value of determinant = %.5e\n", d * Math.pow(2.0, id)); - - } - - /** - * Print usage information. - */ - private static void usage(){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - -} - diff --git a/simple_examples/F04AMJE.java b/simple_examples/F04AMJE.java deleted file mode 100644 index a498b2b..0000000 --- a/simple_examples/F04AMJE.java +++ /dev/null @@ -1,114 +0,0 @@ -import com.nag.routines.F04.F04AM; -import com.nag.routines.X02.X02AJ; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * F04AMJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class F04AMJE{ - - /** - * F04AMJ example main program. - */ - public static void main(String[] args){ - int m = 0, n = 0; - int ifail, ir, lda, ldb, ldqr, ldx; - double eps; - double[] a, b, alpha, e, qr, r, x, y, z; - int[] ipiv; - - System.out.println("F04AMJ Example Program Results"); - - if(args.length != 1){ - F04AMJE.usage(); - } - - //declare so try/catch works - a = new double[0]; - b = new double[0]; - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - m = Integer.parseInt(sVal[1]); - n = Integer.parseInt(sVal[2]); - - a = new double[m * n]; - b = new double[m * 1]; - - for(int i = 0; i < m; i++){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int j = 0; j < n; j++){ - a[i + (j * m) ] = Double.parseDouble(sVal[j]); - } - for(int j = n; j < m; j++){ - b[i + (j * (m - (n + 1)))] = Double.parseDouble(sVal[j]); - } - } - } - catch(FileNotFoundException err){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException err){ - System.err.println("***FATAL: Can't read " + filename + "\n" + err.getMessage()); - } - //Setting these in try block is more robust but less neat - //May be needed for array sizes~ - ir = 1; - lda = m; - ldb = m; - ldqr = m; - ldx = n; - - alpha = new double[n]; - e = new double[n]; - qr = new double[ldqr * n]; - r = new double[m]; - x = new double[ldx * ir]; - y = new double[n]; - z = new double[n]; - ipiv = new int[n]; - - X02AJ x02aj = new X02AJ(); - eps = x02aj.eval(); - - ifail = 0; - - F04AM f04am = new F04AM(a, lda, x, ldx, b, ldb, m, n, ir, eps, qr, ldqr, alpha, e, y, z, r, ipiv, ifail); - f04am.eval(); - //update any values you want here - x = f04am.getX(); - - System.out.println("Solution"); - for(int i = 0; i < n; i++){ - for(int j = 0; j < ir; j++){ - System.out.printf("%.4f ", x[j + (i * ir)]); - } - System.out.printf("\n"); - } - } - - /** - * No arguments supplied when example runs - */ - private static void usage() { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} - - - - - - diff --git a/simple_examples/F04BAJE.java b/simple_examples/F04BAJE.java deleted file mode 100644 index 79c2b01..0000000 --- a/simple_examples/F04BAJE.java +++ /dev/null @@ -1,144 +0,0 @@ -import com.nag.routines.F04.F04BA; -import com.nag.routines.X04.X04CA; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * F04BAJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class F04BAJE{ - - /** - * F04BAJ example main program. - */ - public static void main(String[] args){ - int n = 0, nrhs = 0, lda = 0, ldb = 0; //placeholder - int ierr, ifail; - double errbnd, rcond; - double a[], b[]; - int ipiv[]; - - a = new double[0]; b = new double[0]; //placeholder - - if(args.length != 1){ - F04BAJE.usage(); - } - - System.out.println("F04BAJ Example Program Results"); - System.out.println(); - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[1]); - nrhs = Integer.parseInt(sVal[2]); - - lda = n; - ldb = n; - - a = new double[lda * n]; - b = new double[ldb * nrhs]; - - line = reader.readLine(); - for(int i = 0; i < lda; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int j = 0; j < n; j++){ - a[i + (j * n)] = Double.parseDouble(sVal[j + 1]); - } - } - - line = reader.readLine(); - for(int i = 0; i < ldb; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int j = 0; j < nrhs; j++){ - b[i + (j * n)] = Double.parseDouble(sVal[j + 1]); - } - } - - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ifail = 1; - ipiv = new int[n]; - rcond = 0; - errbnd = 0; - F04BA f04ba = new F04BA(n, nrhs, a, lda, ipiv, b, ldb, rcond, errbnd, ifail); - f04ba.eval(); - - ifail = f04ba.getIFAIL(); - rcond = f04ba.getRCOND(); - errbnd = f04ba.getERRBND(); - ipiv = f04ba.getIPIV(); - a = f04ba.getA(); - b = f04ba.getB(); - - if(ifail == 0){ - //Print solution, estimate of condition number and approximate error bound. - ierr = 0; - X04CA x04ca = new X04CA("General", " ", n, nrhs, b, ldb, "Solution", ierr); - x04ca.eval(); - - System.out.println(); - System.out.println("Estimate of condition number"); - System.out.printf("%.1e\n", 1/rcond); - System.out.println(); - System.out.println("Esttimate of error bound for computed solutions"); - System.out.printf("%.1e\n", errbnd); - } - else if(ifail == (n + 1)){ - //Matrix A is numerically singular. Print estimate of reciprocal of condition number and solution. - System.out.println(); - System.out.println("Estimate of reciprocal of condition number"); - System.out.printf("%.1e\n", rcond); - System.out.println(); - - ierr = 0; - X04CA x04ca = new X04CA("General", " ", n, nrhs, b, ldb, "Solution", ierr); - x04ca.eval(); - } - else if(ifail > 0 && ifail <= n){ - //The upper triangular matrix U is exactly singular. Print details of factorization. - System.out.println(); - - ierr = 0; - X04CA x04ca = new X04CA("General", " ", n, n, a, lda, "Details of factorization", ierr); - x04ca.eval(); - - System.out.println(); - System.out.println("Pivot indices"); - for(int i = 0; i < n; i++){ - System.out.printf("%d ", ipiv[i]); - } - System.out.printf("\n"); - } - else{ - System.out.printf(" ** F04BAF returned with IFAIL = %d\n", ifail); - } - - } - - /** - * No arguments supplied when example runs - */ - private static void usage() { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} diff --git a/simple_examples/F05AAJE.java b/simple_examples/F05AAJE.java deleted file mode 100644 index 317c269..0000000 --- a/simple_examples/F05AAJE.java +++ /dev/null @@ -1,99 +0,0 @@ -import com.nag.routines.F05.F05AA; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * F05AAJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class F05AAJE{ - - /** - * F05AAJ example main program. - */ - public static void main(String[] args) { - //Should initialise values to avoid issues with try/catch - int icol = 0, ifail = 0, lda = 0, m = 0, n1 = 0, n2 = 0; - double cc = 0; - double[] a, s; - - //same as ints - a = new double[1]; - s = new double[1]; - System.out.println("F05AAJ Example Program Results"); - System.out.println(); - - //supply data - if(args.length != 1){ - F05AAJE.usage(); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+");; - m = Integer.parseInt(sVal[1]); - n1 = Integer.parseInt(sVal[2]); - n2 = Integer.parseInt(sVal[3]); - lda = m; - - a = new double[lda*n2]; - s = new double[n2]; - - //read in a from data - for(int i = 0; i < n2; i++){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int j = 0; j < m; j++){ - a[i + (j * n2)] = Double.parseDouble(sVal[j]); - } - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - //create object then eval - F05AA f05aa = new F05AA(a, lda, m, n1, n2, s, cc, icol, ifail); - f05aa.eval(); - - //update values - n1 = f05aa.getN1(); - n2 = f05aa.getN2(); - cc = f05aa.getCC(); - icol = f05aa.getICOL(); - a = f05aa.getA(); - - System.out.printf("N1 = %d N2 = %d\n", n1, n2); - System.out.println(); - System.out.printf("CC = %.4f ICOL = %d\n", cc, icol); - System.out.println(); - System.out.println("Final Vectors"); - - for(int i = 0; i < n2; i++){ - for(int j = 1; j < m; j++){ - System.out.printf("%.4f ", a[i +(j * n2)]); - } - System.out.printf("\n"); - } - } - - /** - * Print usage information. - */ - private static void usage(){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} - diff --git a/simple_examples/F06CLJE.java b/simple_examples/F06CLJE.java deleted file mode 100644 index ca2ac5e..0000000 --- a/simple_examples/F06CLJE.java +++ /dev/null @@ -1,40 +0,0 @@ -import com.nag.routines.F06.F06CL; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; - -/** - * F06CL example program text. - * @author ludovic - */ -public class F06CLJE { - - public static void main(String[] args) { - boolean fail = false; - NAGComplex z1 = new NAGComplex(); - NAGComplex z2 = new NAGComplex(); - NAGComplex z3 = new NAGComplex(); - - System.out.println(" F06CLJ Example Program Results"); - System.out.println(); - - Routine.complex = z1; - - z1.setRe(1.0); - z1.setIm(1.0); - z2.setRe(2.0); - z2.setIm(2.0); - - F06CL f06cl = new F06CL(z1,z2,fail); - z3 = (NAGComplex)f06cl.eval(); - fail = f06cl.getFAIL(); - - if (fail) { - System.err.println(" Something went wrong..."); - } - else { - System.out.println(" " + z1.toString() + "/"+ z2.toString() + " = " + z3.toString()); - } - - } - -} diff --git a/simple_examples/F07AAJE.java b/simple_examples/F07AAJE.java deleted file mode 100644 index 26eb5dc..0000000 --- a/simple_examples/F07AAJE.java +++ /dev/null @@ -1,90 +0,0 @@ -import com.nag.routines.F07.F07AA; -import com.nag.routines.X04.X04CA; -import java.util.Arrays; - -/** - * F07AA example program text. - * @author joed - */ -public class F07AAJE { - - public static void main(String[] args) { - - int i, ifail, info, lda, ldb, n; - double[] a, b; - int[] ipiv; - - System.out.println(" F07AAJ Example Program Results"); - System.out.println(); - - n = 4; - lda = n; - ldb = n; - - a = new double[n*n]; - b = new double[n]; - ipiv = new int[n]; - - a[0+0*n] = 1.80; - a[0+1*n] = 2.88; - a[0+2*n] = 2.05; - a[0+3*n] = -0.89; - a[1+0*n] = 5.25; - a[1+1*n] = -2.95; - a[1+2*n] = -0.95; - a[1+3*n] = -3.80; - a[2+0*n] = 1.58; - a[2+1*n] = -2.69; - a[2+2*n] = -2.90; - a[2+3*n] = -1.04; - a[3+0*n] = -1.11; - a[3+1*n] = -0.66; - a[3+2*n] = -0.59; - a[3+3*n] = 0.80; - - b[0] = 9.52; - b[1] = 24.35; - b[2] = 0.77; - b[3] = -6.22; - - /* Solve the equations Ax = b for x */ - - F07AA f07aa = new F07AA(); - info = 0; - f07aa.eval(n, 1, a, lda, ipiv, b, ldb, info); - info = f07aa.getINFO(); - - if (info == 0) { - - /* Print solution */ - - System.out.println(" Solution"); - for (i = 0; i < n; i++) { - System.out.printf(" %11.4f", b[i]); - } - System.out.printf("\n"); - - /* Print details of factorization */ - - System.out.println(); - X04CA x04ca = new X04CA(); - ifail = 0; - x04ca.eval("General", " ", n, n, a, lda, "Details of factorization", ifail); - - /* Print pivot indices */ - - System.out.println(); - System.out.println(" Pivot indices"); - for (i = 0; i < n; i++) { - System.out.printf(" %11d", ipiv[i]); - } - System.out.printf("\n"); - - } - else { - System.err.printf(" The (%3d,%3d) element of the factor U is zero\n", info, info); - } - - } - -} diff --git a/simple_examples/F07ABJE.java b/simple_examples/F07ABJE.java deleted file mode 100644 index 6362739..0000000 --- a/simple_examples/F07ABJE.java +++ /dev/null @@ -1,134 +0,0 @@ -import com.nag.routines.F07.DGESVX; -import com.nag.routines.X04.X04CA; - -/** - * F07ABJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class F07ABJE{ - - /** - * F07ABJ example main program - */ - public static void main(String[] args){ - double rcond = 0; - int ifail, info = 0, lda, ldaf, ldb, ldx, n, nrhs; //placeholders - String equed; - double[] a, af, b, berr, c, ferr, r, work, x; - int[] ipiv, iwork; - - System.out.println("F07ABJ Example Program Results"); - System.out.println(); - - //Problem size - n = 4; - nrhs = 2; - lda = n; - ldaf = n; - ldb = n; - ldx = n; - - //Allocate - a = new double[lda * n]; - af = new double[ldaf * n]; - b = new double[ldb * nrhs]; - berr = new double[nrhs]; - c = new double[n]; - ferr = new double[nrhs]; - r = new double[n]; - work = new double[4 * n]; - x = new double[ldx * nrhs]; - ipiv = new int[n]; - iwork = new int[n]; - equed = " "; - - //Matrices A and B - a[0] = 1.8; - a[1] = 525; - a[2] = 1.58; - a[3] = -1.11; - a[4] = 2.88; - a[5] = -295; - a[6] = -2.69; - a[7] = -0.66; - a[8] = 2.05; - a[9] = -95; - a[10] = -2.9; - a[11] = -0.59; - a[12] = -0.89; - a[13] = -380; - a[14] = -1.04; - a[15] = 0.8; - b[0] = 9.52; - b[1] = 2435; - b[2] = 0.77; - b[3] = -6.22; - b[4] = 18.47; - b[5] = 225; - b[6] = -13.28; - b[7] = -6.21; - - //Solve the equations AX = B for X - //The NAG name equivalent of dgesvx is f07abf - DGESVX dgesvx = new DGESVX("Equilibration", "No Transpose", n, nrhs, a, lda, af, ldaf, ipiv, equed, r, - c, b, ldb, x, ldx, rcond, ferr, berr, work, iwork, info); - dgesvx.eval(); - - //Update - info = dgesvx.getINFO(); - equed = dgesvx.getEQUED(); - rcond = dgesvx.getRCOND(); - - if(info == 0 || info == n + 1){ - //Print solution, error bounds, condition number, the form of equilibration and the pivot growth factor - - //ifail: behaviour on error exit - // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft - ifail = 0; - X04CA x04ca = new X04CA("General", " ", n, nrhs, x, ldx, "Solution(s)", ifail); - x04ca.eval(); - - System.out.println(); - System.out.println("Backward errors (machine-dependent)"); - for(int i = 0; i < nrhs; i++){ - System.out.printf(" %.1e ", berr[i]); - } - System.out.println(); - System.out.println(); - System.out.println("Estimated forward error bounds (machine-dependent)"); - for(int i = 0; i < nrhs; i++){ - System.out.printf(" %.1e ", ferr[i]); - } - System.out.println(); - System.out.println(); - if(equed.equals("N")){ - System.out.println("A has not been equilibrated"); - } - else if(equed.equals("R")){ - System.out.println("A has been row scaled as diag(R)*A"); - } - else if(equed.equals("C")){ - System.out.println("A has been column scaled as A*diag(C)"); - } - else if(equed.equals("B")){ - System.out.println("A has been row and column scaled as diag(R)*A*diag(C)"); - } - System.out.println(); - System.out.println("Reciprocal condition number estimate of scaled matrix"); - System.out.printf(" %.1e\n", rcond); - System.out.println(); - System.out.println("Estimate of reciprocal pivot growth factor"); - System.out.printf(" %.1e\n", work[0]); - System.out.println(); - - if(info == n + 1){ - System.out.println(); - System.out.println("The matrix A is singular to working precision"); - } - } - else{ - System.out.println("The (" + info + ", " + info + ")" + " element of the factor U is zero"); - } - } -} diff --git a/simple_examples/F07ADJE.java b/simple_examples/F07ADJE.java deleted file mode 100644 index 4450683..0000000 --- a/simple_examples/F07ADJE.java +++ /dev/null @@ -1,72 +0,0 @@ -import com.nag.routines.F07.DGETRF; -import com.nag.routines.X04.X04CA; - -/** - * F07ADJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class F07ADJE{ - - /** - * F07ADJ Example main program - */ - public static void main(String[] args){ - int ifail, info = 0, lda, m, n; - double[] a; - int[] ipiv; - - System.out.println("F07ADJ Example Program Results"); - System.out.println(); - - //Problem size (can be read from data file) - m = 4; - n = 4; - lda = m; - - //Data - ipiv = new int[n]; - a = new double[m * n]; - a[0] = 1.8; - a[1] = 5.25; - a[2] = 1.58; - a[3] = -1.11; - a[4] = 2.88; - a[5] = -2.95; - a[6] = -2.69; - a[7] = -0.66; - a[8] = 2.05; - a[9] = -0.95; - a[10] = -2.9; - a[11] = -0.59; - a[12] = -0.89; - a[13] = -3.8; - a[14] = -1.04; - a[15] = 0.8; - - //Factorize A - //The NAG name equivalent of dgetrf is F07ADF - DGETRF dgetrf = new DGETRF(m, n, a, lda, ipiv, info); - dgetrf.eval(); - - //Update - info = dgetrf.getINFO(); - - //ifail: behaviour on error exit - // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft - ifail = 0; - X04CA x04ca = new X04CA("General", " ", m, n, a, lda, "Details of factorization", ifail); - x04ca.eval(); - - //Print pivot indices - System.out.println("IPIV"); - for(int i = 0; i < Math.min(m, n); i++){ - System.out.printf("\t%d", ipiv[i]); - } - System.out.println(); - - if(info != 0){ - System.out.println("The factor U is singular"); - } - } -} diff --git a/simple_examples/F07AQJE.java b/simple_examples/F07AQJE.java deleted file mode 100644 index 5ee47e5..0000000 --- a/simple_examples/F07AQJE.java +++ /dev/null @@ -1,99 +0,0 @@ -import com.nag.routines.F07.F07AQ; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; -import com.nag.types.NAGComplexF; - -/** - * F07AQ example program text. - * @author joed - * @since 27.1.0.0 - */ -public class F07AQJE { - - public static void main(String[] args) { - - F07AQ f07aq = new F07AQ(); - int info, iter, lda, ldb, ldx, n, r; - NAGComplex[] a, b, work, x; - NAGComplexF[] swork; - double[] rwork; - int[] ipiv; - - System.out.println(" F07AQJ Example Program Results"); - System.out.println(); - - // Set dimensions and instantiate arrays - n = 4; - r = 1; - lda = ldb = ldx = n; - a = new NAGComplex[lda*n]; - b = new NAGComplex[ldb*r]; - work = (NAGComplex[]) (new NAGComplex()).getArrayOfInstances(n*r); - x = (NAGComplex[]) (new NAGComplex()).getArrayOfInstances(ldx*r); - swork = (NAGComplexF[]) (new NAGComplexF()).getArrayOfInstances(n*(n+r)); - ipiv = new int[n]; - rwork = new double[n]; - - // Set A - a[0] = new NAGComplex(-1.34, 2.55); // Column 1 - a[1] = new NAGComplex(-0.17, -1.41); - a[2] = new NAGComplex(-3.29, -2.39); - a[3] = new NAGComplex(2.41, 0.39); - a[4] = new NAGComplex(0.28, 3.17); // Column 2 - a[5] = new NAGComplex(3.31, -0.15); - a[6] = new NAGComplex(-1.91, 4.42); - a[7] = new NAGComplex(-0.56, 1.47); - a[8] = new NAGComplex(-6.39, -2.20); // Column 3 - a[9] = new NAGComplex(-0.15, 1.34); - a[10] = new NAGComplex(-0.14, -1.35); - a[11] = new NAGComplex(-0.83, -0.69); - a[12] = new NAGComplex(0.72, -0.92); // Column 4 - a[13] = new NAGComplex(1.29, 1.38); - a[14] = new NAGComplex(1.72, 1.35); - a[15] = new NAGComplex(-1.96, 0.67); - - // Set B - b[0] = new NAGComplex(26.26,51.78); - b[1] = new NAGComplex( 6.43,-8.68); - b[2] = new NAGComplex(-5.75,25.31); - b[3] = new NAGComplex( 1.16, 2.57); - - // Notify wrappers of complex types - Routine.setComplex(new NAGComplex()); - Routine.setComplexF(new NAGComplexF()); - - // Solve the equations Ax = b for x - iter = info = 0; - f07aq.eval(n, r, a, lda, ipiv, b, ldb, x, ldx, work, swork, rwork, iter, info); - iter = f07aq.getITER(); - info = f07aq.getINFO(); - - if (info == 0) { - - // Print solution - - System.out.println(" Solution"); - for (int i = 0; i < n; i++) { - for (int j = 0; j < r; j++) { - System.out.printf(" (%7.4f,%7.4f)", x[j*n+i].getRe(), x[j*n+i].getIm()); - } - } - System.out.println(); - - // Print pivot indices - - System.out.println(); - System.out.println(" Pivot indices"); - for (int i = 0; i < n; i++) { - System.out.printf(" %11d", ipiv[i]); - } - System.out.println(); - - } - else { - System.out.printf(" The (%3d,%3d) element of the factor U is zero", info, iter); - } - - } - -} diff --git a/simple_examples/F07FAJE.java b/simple_examples/F07FAJE.java deleted file mode 100644 index e516051..0000000 --- a/simple_examples/F07FAJE.java +++ /dev/null @@ -1,79 +0,0 @@ -import com.nag.routines.F07.F07FA; -import com.nag.routines.X04.X04CA; - -/** - * F07FA example program text. - * @author saraht - */ -public class F07FAJE { - - public static void main(String[] args) { - - int i, ifail, info, lda, n; - double[] a, b; - - System.out.println(" F07FAJ Example Program Results"); - System.out.println(); - - n = 4; - lda = n; - - a = new double[n*n]; - b = new double[n]; - - /* A = 4.16 -3.12 0.56 -0.10 - 5.03 -0.83 1.18 - 0.76 0.34 - 1.18 */ - - a[0+0*n] = 4.16; - a[0+1*n] = -3.12; - a[0+2*n] = 0.56; - a[0+3*n] = -0.10; - - a[1+1*n] = 5.03; - a[1+2*n] = -0.83; - a[1+3*n] = 1.18; - - a[2+2*n] = 0.76; - a[2+3*n] = 0.34; - - a[3+3*n] = 1.18; - - b[0] = 8.70; - b[1] = -13.35; - b[2] = 1.89; - b[3] = -4.14; - - /* Solve the equations Ax = b for x */ - - F07FA f07fa = new F07FA(); - info = 0; - f07fa.eval("Upper", n, 1, a, lda, b, n, info); - info = f07fa.getINFO(); - - if (info == 0) { - - /* Print solution */ - - System.out.println(" Solution"); - for (i = 0; i < n; i++) { - System.out.printf(" %11.4f", b[i]); - } - System.out.printf("\n"); - - /* Print details of factorization */ - - System.out.println(); - X04CA x04ca = new X04CA(); - ifail = 0; - x04ca.eval("Upper", "Non-unit diagonal", n, n, a, lda, "Cholesky factor U", ifail); - - } - else { - System.err.printf(" The leading minor of order %d is not positive definite \n", info); - } - - } - -} diff --git a/simple_examples/F07FBJE.java b/simple_examples/F07FBJE.java deleted file mode 100644 index 09bbd37..0000000 --- a/simple_examples/F07FBJE.java +++ /dev/null @@ -1,122 +0,0 @@ -import com.nag.routines.F07.F07FB; -import com.nag.routines.X04.X04CA; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * F07FB example program text. - * @author ludovic - */ -public class F07FBJE { - - public static void main(String[] args) { - String fact,uplo,equed; - int n, nrhs,lda,ldaf,ldb,ldx; - int[] iwork; - double rcond; - double[] a,af,s,b,x,ferr,berr,work; - int info,ifail; - lda = 4; - ldaf = lda; - ldb = lda; - ldx = lda; - nrhs = 2; - n = 4; - a = new double[lda*lda]; - af = new double[ldaf*ldaf]; - b = new double[ldb*nrhs]; - berr = new double[nrhs]; - ferr = new double[nrhs]; - s = new double[lda]; - work = new double[3*lda]; - x = new double[ldx*nrhs]; - iwork = new int[lda]; - info = 1; - rcond = Double.NaN; - fact = "E"; - uplo = "U"; - equed = "Z";//dummy value - /*A = 4.16 -3.12 0.56 -0.10 - 5.03 -0.83 1.18 - 0.76 0.34 - 1.18*/ - a[0] = 4.16; - - a[4] = -3.12; - a[5] = 5.03; - - a[8] = 0.56; - a[9] = -0.83; - a[10] = 0.76; - - a[12] = -0.10; - a[13] = 1.18; - a[14] = 0.34; - a[15] = 1.18; - - /*B= 8.70 8.30 - -13.35 2.13 - 1.89 1.61 - - 4.14 5.00*/ - b[0] = 8.70; - b[1] = -13.35; - b[2] = 1.89; - b[3] = -4.14; - - b[4] = 8.30; - b[5] = 2.13; - b[6] = 1.61; - b[7] = 5.00; - - System.out.println(" F07FBJ Example Program Results"); - System.out.println(); - - F07FB f07fb = new F07FB(fact, uplo, n, nrhs, a, lda, af, ldaf, equed, s, b, - ldb, x, ldx, rcond, ferr, berr, work, iwork, info); - f07fb.eval(); - fact = f07fb.getFACT(); - uplo = f07fb.getUPLO(); - equed = f07fb.getEQUED(); - rcond = f07fb.getRCOND(); - info = f07fb.getINFO(); - - - if ((info == 0) || (info == n+1)) { - ifail = 0; - (new X04CA()).eval("General"," ",n,nrhs,x,ldx,"Solution(s)",ifail); - System.out.println(); - System.out.println(" Backward errors (machine-dependent)"); - System.out.print(" "); - for (int ii = 0; ii < nrhs; ++ii) { - System.out.printf(" %11.1e",berr[ii]); - } - System.out.println("\n"); - System.out.println(" Estimated forward error bounds (machine-dependent)"); - System.out.print(" "); - for (int ii = 0; ii < nrhs; ++ii) { - System.out.printf(" %11.1e",ferr[ii]); - } - System.out.println("\n"); - System.out.println(" Estimate of reciprocal condition number"); - System.out.printf(" %11.1e\n",rcond); - System.out.println(); - if (equed.equalsIgnoreCase("N")) { - System.out.println(" A has not been equilibrated"); - } - else if (equed.equalsIgnoreCase("N")) { - System.out.println(" A has been row and column scaled as diag(S)*A*diag(S)"); - } - - if (info == n+1) { - System.out.println(); - System.out.println(" The matrix A is singular to working precision"); - } - - } - else { - System.out.printf(" The leading minor of order %3d is not positive definite\n"); - } - - } - -} diff --git a/simple_examples/F08BTJE.java b/simple_examples/F08BTJE.java deleted file mode 100644 index 43c219b..0000000 --- a/simple_examples/F08BTJE.java +++ /dev/null @@ -1,228 +0,0 @@ -import static java.lang.Math.*; - -import com.nag.routines.F06.F06JJ; -import com.nag.routines.F06.F06ZJ; -import com.nag.routines.F08.F08AU; -import com.nag.routines.F08.F08BT; -import com.nag.routines.Routine; -import com.nag.routines.X04.X04DB; -import com.nag.types.NAGComplex; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.util.regex.Matcher; -import java.util.regex.Pattern; - -/** - * F08BT example program text. - * @author ludovic - */ -public class F08BTJE { - - public static void main(String[] args) throws FileNotFoundException, IOException { - int incl = 1, nb = 64; - double tol; - int ifail, info = 0, k, lda, ldb, lwork, m, n, nrhs; - NAGComplex[] a, b, tau, work; - double[] rnorm, rwork; - int[] jpvt; - String[] clabs = new String[]{" "}, rlabs = new String[]{" "}; - - // Setup complex constants - NAGComplex one = new NAGComplex(); - NAGComplex zero = new NAGComplex(); - one.setRe(1.0); - one.setIm(0.0); - zero.setRe(0.0); - zero.setIm(0.0); - - // Inform the Routine class of the type of complex in use - can use any complex object - Routine.complex = one; - - System.out.println(" F08BTJ Example Program Results"); - System.out.println(); - - // Read values from data file - BufferedReader br = new BufferedReader(new FileReader(args[0])); - String line = br.readLine(); - line = br.readLine().trim(); - line = br.readLine().trim(); - String[] vals = line.split("\\s+"); - m = Integer.parseInt(vals[0].trim()); - n = Integer.parseInt(vals[1].trim()); - nrhs = Integer.parseInt(vals[2].trim()); - lda = ldb = m; - lwork = (n + 1) * nb; - a = new NAGComplex[lda * n]; - b = new NAGComplex[ldb * nrhs]; - tau = new NAGComplex[n]; - work = new NAGComplex[lwork]; - rnorm = new double[nrhs]; - rwork = new double[2 * n]; - jpvt = new int[n]; - - // Actually initialize the complex arrays - for (int i = 0; i < a.length; ++i) { - a[i] = new NAGComplex(); - } - for (int i = 0; i < b.length; ++i) { - b[i] = new NAGComplex(); - } - for (int i = 0; i < tau.length; ++i) { - tau[i] = new NAGComplex(); - } - for (int i = 0; i < work.length; ++i) { - work[i] = new NAGComplex(); - } - - /* Read A and B from data file */ - - readCompMatrix(br, a, lda, n); - readCompMatrix(br, b, ldb, nrhs); - br.close(); - - /* Initialize JPVT to be zero so that all columns are free */ - - for (int i = 0; i < n; ++i) { - jpvt[i] = 0; - } - - /* Compute the QR factorization of A */ - - F08BT f08bt = new F08BT(m, n, a, lda, jpvt, tau, work, lwork, rwork, info); - f08bt.eval(); - - /* Compute C = (C1) = (Q**H)*B, storing the result in B (C2) */ - - String side = "Left"; - String conjTrans = "Conjugate Transpose"; - F08AU f08au = new F08AU(side, conjTrans, m, nrhs, n, a, lda, tau, b, ldb, work, lwork, info); - f08au.eval(); - a = (NAGComplex[])f08au.getA(); - - /* Choose TOL to reflect the relative accuracy of the input data */ - - tol = 0.01; - - /* Determine and print the rank, K, or R relative to TOL */ - - for (k = 1; k < n + 1; ++k) { - if (abs(a[k - 1 + lda * (k - 1)]) <= tol * abs(a[0])) { - break; - } - } - k = k - 1; - - System.out.println(" Tolerance used to estimate the rank of A"); - System.out.printf(" %11.2E\n", tol); - System.out.println(" Estimated rank of A"); - System.out.printf(" %8d\n", k); - - /* Compute least squares solutions by back-substitution in R(1:K,1:K)*Y = C1 - * storing the result in B */ - - String upDown = "Upper"; - String trans = "No transpose"; - String unit = "Non-Unit"; - F06ZJ f06zj = new F06ZJ(side, upDown, trans, unit, k, nrhs, one, a, lda, b, ldb); - f06zj.eval(); - - /* Compute estimates of the square roots of the residual sums of squares - * (2-norm of each of the columns of C2) */ - - int mMinusK = m - k; - NAGComplex[] btmp = new NAGComplex[b.length]; - for (int i = 0; i < btmp.length; ++i) { - btmp[i] = new NAGComplex(); - } - System.arraycopy(b, k, btmp, 0, b.length - k); - - F06JJ f06jj = new F06JJ(mMinusK, btmp, incl); - rnorm[0] = f06jj.eval(mMinusK, btmp, incl); - System.arraycopy(btmp, 0, b, k, b.length - k); - for (int j = 1; j < nrhs; ++j) { - System.arraycopy(b, k + j * ldb, btmp, 0, b.length - k - j * ldb); - rnorm[j] = f06jj.eval(mMinusK, btmp, incl); - System.arraycopy(btmp,0, b, k + j * ldb, b.length - k - j * ldb); - } - - /* Set the remaining elements of the solutions to zero (to give the - * basic solutions) */ - - for (int i = k; i < n; ++i) { - for (int j = 0; j < nrhs; ++j) { - NAGComplex tmp = new NAGComplex(); - tmp.setRe(0.0); - tmp.setIm(0.0); - b[i + j * ldb] = tmp; - } - } - - /* Permute the least squares solution stored in B to give X = P*Y */ - - for (int j = 0; j < nrhs; j++) { - for (int i = 0; i < n; i++) { - work[jpvt[i] - 1] = b[j*ldb + i]; - } - for (int i = 0; i < n; i++) { - b[j*ldb + i] = work[i]; - } - } - - /* Print least squares solutions */ - - X04DB x04db = new X04DB(); - ifail = 0; - x04db.eval("General"," ",n,nrhs,b,ldb,"Bracketed","F7.4","Least squares solution(s)", - "Integer",rlabs,"Integer",clabs,80,0,ifail); - - /* Print the square roots of the residual sums of squares */ - - System.out.println(); - System.out.println(" Square root(s) of the residual sum(s) of squares"); - System.out.printf(" "); - for (int i = 0; i < nrhs; ++i) { - System.out.printf("%11.2E", rnorm[i]); - } - System.out.println(); - - } - - private static void readCompMatrix(BufferedReader br, NAGComplex[] mat, int row, - int col) throws IOException { - - // matches one complex number (without the brackets...) - String complexPat = "\\(([,0-9\\.\\-\\+\\s]*)\\)"; - String fullPattern = complexPat; - for (int i = 0; i < col -1; ++i) { - fullPattern = fullPattern + "\\s*" + complexPat; - } - fullPattern = fullPattern + ".*"; - Pattern comppat = Pattern.compile(fullPattern); - - for (int i = 0; i < row; ++i) { - String line = br.readLine().trim(); - if (line.equalsIgnoreCase("")) { - line = br.readLine().trim(); - } - Matcher m = comppat.matcher(line.trim()); - if (m.matches()) { - for (int j = 0; j < col; ++j) { - String[] numbers = m.group(j + 1).trim().split(","); - mat[i + j * row].setRe(Double.parseDouble(numbers[0].trim())); - mat[i + j * row].setIm(Double.parseDouble(numbers[1].trim())); - // System.out.print("mat["+i+","+j+"]=("+numbers[0].trim()+","+numbers[1].trim()+") "); - } - // System.out.println(); - } - - - } - } - - private static double abs(NAGComplex z) { - return sqrt(z.getRe() * z.getRe() + z.getIm() * z.getIm()); - } - -} diff --git a/simple_examples/F08FAJE.java b/simple_examples/F08FAJE.java deleted file mode 100644 index 028f854..0000000 --- a/simple_examples/F08FAJE.java +++ /dev/null @@ -1,113 +0,0 @@ -import com.nag.routines.F08.DDISNA; -import com.nag.routines.F08.F08FA; -import com.nag.routines.F16.F16JQ; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X04.X04CA; -import java.util.Arrays; -import java.util.logging.Level; -import java.util.logging.Logger; - - -/** - * F08FA example program text. - * @author ludovic - */ -public class F08FAJE { - - public static void main(String[] args) { - int n = 4, LWork = n*64, lda = n; - double[] a, w, work,zerrbd,rcondz, colVector; - int info = 0, ifail = 0, k = 0; - a = new double[n * n]; - w = new double[n]; - work = new double[LWork]; - zerrbd = new double[n]; - rcondz = new double[n]; - colVector = new double[n]; - - System.out.println(" F08FAJ Example Program Results\n"); - - //array a : Stored in column major way - - a[0] = 1.0; - a[1] = 2.0; - a[2] = 3.0; - a[3] = 4.0; - - a[4] = 2.0; - a[5] = 2.0; - a[6] = 3.0; - a[7] = 4.0; - - a[8] = 3.0; - a[9] = 3.0; - a[10] = 3.0; - a[11] = 4.0; - - a[12] = 4.0; - a[13] = 4.0; - a[14] = 4.0; - a[15] = 4.0; - - //initializing the info parameter - info = 0; - w[0] = Double.NaN; - w[1] = Double.NaN; - w[2] = Double.NaN; - w[3] = Double.NaN; - F08FA f08fa = new F08FA("V", "U", n, a, n, w, work, LWork, info); - f08fa.eval(); - info = f08fa.getINFO(); - - if (info == 0) { - System.out.println(" Eigenvalues"); - System.out.print(" "); - for (int i = 0; i < n; ++i) { - System.out.printf(" %8.4f",w[i]); - } - System.out.println(); - - // Normalize the eigenvectors: largest element positive - F16JQ f16jq = new F16JQ(); // aka blas_damax_val - for (int i = 0; i < n; i++) { - System.arraycopy(a, 4*i, colVector, 0, 4); // Form vector to evaluate - f16jq.eval(n, colVector, 1, k, 0.0); // Get index of largest (absolute) value - k = f16jq.getK() - 1; // Make index zero based - - // Invert sign of column if largest element is negative - if (a[(4*i)+k] < 0) { - for (int j = 0; j < n; j++) { - a[(4*i)+j] = (-1) * a[(4*i)+j]; - } - } - - } - - (new X04CA()).eval("General"," ",n,n,a,lda,"Eigenvectors",ifail); - - double eps = (new X02AJ()).eval(); - double eerrbd = eps*Math.max(Math.abs(w[0]),Math.abs(w[n-1])); - - (new DDISNA()).eval("Eigenvectors",n,n,w,rcondz,info); - for (int i = 0; i < n; ++i) { - zerrbd[i] = eerrbd/rcondz[i]; - } - - System.out.println(); - System.out.println(" Error estimate for the eigenvalues"); - System.out.printf(" %11.1e\n",eerrbd); - System.out.println(); - System.out.println(" Error estimates for the eigenvectors"); - for (int i = 0; i < n; ++i) { - System.out.printf(" %11.1e",zerrbd[i]); - } - System.out.println(); - - } - else { - System.out.printf(" Failure in DSYEV. INFO =%4d",info); - } - - } - -} diff --git a/simple_examples/F08XPJE.java b/simple_examples/F08XPJE.java deleted file mode 100644 index cc894d3..0000000 --- a/simple_examples/F08XPJE.java +++ /dev/null @@ -1,297 +0,0 @@ -import com.nag.routines.F06.F06UA; -import com.nag.routines.F06.F06BN; -import com.nag.routines.F06.ZGEMM; -import com.nag.routines.F08.ZGGESX; -import com.nag.routines.M01.M01DA; -import com.nag.routines.M01.M01ED; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.X04.X04DB; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * F08XPJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class F08XPJE{ - - public static boolean chkfac = false; - public static boolean prcond = false; - public static boolean prmat = false; - public static int nb = 64; - - /* - * F08XPJ Example main program - */ - public static void main(String[] args){ - NAGComplex alph, bet; - double abnorm, anorm, bnorm, eps, normd, norme, tol; - int ifail, info = 0, lda, ldb, ldc, ldd, lde, ldvsl, ldvsr, liwork, lwork, n, sdim = 0; - boolean factor; - NAGComplex[] a, alpha, b, beta, c, d, e, vsl, vsr, work, dummy; - double[] rconde, rcondv, rwork; - int[] idum, iwork; - boolean[] bwork; - String[] clabs, rlabs; - - //Placeholders - idum = new int[1]; - rconde = new double[2]; - rcondv = new double[2]; - dummy = NAGComplex.createArray(1); - - System.out.println("F08XPJ Example Program Results"); - System.out.println(); - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - //Tell wrappers what time of complex type is going to be used - Routine.setComplex(new NAGComplex()); - - //n declared here for neater code but can be read in from data file - n = 4; - lda = n; - ldb = n; - ldc = n; - ldd = n; - lde = n; - ldvsl = n; - ldvsr = n; - - //Allocate - a = NAGComplex.createArray(lda * n); - alpha = NAGComplex.createArray(n); - b = NAGComplex.createArray(ldb * n); - beta = NAGComplex.createArray(n); - c = NAGComplex.createArray(ldc * n); - d = NAGComplex.createArray(ldd * n); - e = NAGComplex.createArray(lde * n); - vsl = NAGComplex.createArray(ldvsl * n); - vsr = NAGComplex.createArray(ldvsr * n); - rwork = new double[8 * n]; - bwork = new boolean[n]; - clabs = new String[1]; - clabs[0] = " "; - rlabs = new String[1]; - rlabs[0] = " "; - - //Use routine workspace query to get optimal workspace - lwork = -1; - liwork = -1; - //The NAG name equivalent of zggesx is f08xpf - selctg selctg1 = new selctg(); - ZGGESX zggesx = new ZGGESX("Vectors (left)", "Vectors (right)", "Sort", selctg1, "Both reciprocal condition numbers", - n, a, lda, b, ldb, sdim, alpha, beta, vsl, ldvsl, vsr, ldvsr, rconde, rcondv, dummy, lwork, - rwork, idum, liwork, bwork, info); - zggesx.eval(); - - //Make sure that there is a enough workspace for block size nb - lwork = Math.max((n * nb) + (n * n/2), (int) Math.rint(dummy[0].getRe())); - liwork = Math.max(n + 2, idum[0]); - work = NAGComplex.createArray(lwork); - iwork = new int[liwork]; - - //Read in matrices A and B - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); // skip header - line = reader.readLine(); //skip n (set manually for neater code) - String[] sVal; - - for(int i = 0; i < 2; i++){ - for(int j = 0; j < n; j++){ - line = reader.readLine(); - sVal = line.split("\\)"); - for(int k = 0; k < n; k++){ - if(i == 0){ - a[(k * n) + j] = parseComplex(sVal[k]); - } - else{ - b[(k * n) + j] = parseComplex(sVal[k]); - } - } - } - } - - } - catch(FileNotFoundException err){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException err){ - System.err.println("***FATAL: Can't read " + filename + "\n" + err.getMessage()); - } - - if(chkfac){ - for(int i = 0; i < a.length; i++){ - //Copy A and B into D and E respectively - d[i] = a[i]; - e[i] = b[i]; - } - } - - //Find the Forbenius norms of A and B - //The NAG name equivalent of the LAPACK auxiliary zlange is f06uaf - F06UA f06ua = new F06UA(); - anorm = f06ua.eval("Frobenius", n, n, a, lda, rwork); - bnorm = f06ua.eval("Frobenius", n, n, b, ldb, rwork); - - if(prmat){ - //Print matrices A and B - //ifail : behaviour on error exit - // =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft - ifail = 0; - X04DB x04db = new X04DB("General", " ", n, n, a, lda, "Bracketed", "F8.4", "Matrix A", "Integer", - rlabs, "Integer", clabs, 80, 0, ifail); - x04db.eval(); - System.out.println(); - - ifail = 0; - x04db = new X04DB("General", " ", n, n, b, ldb, "Bracketed", "F8.4", "Matrix B", "Integer", - rlabs, "Integer", clabs, 80, 0, ifail); - x04db.eval(); - System.out.println(); - } - - factor = true; - //Find the generalized Schur form - //The NAG name equivalent of zggesx is f08xpf - zggesx = new ZGGESX("Vectors (left)", "Vectors (right)", "Sort", selctg1, "Both reciprocal condition numbers", - n, a, lda, b, ldb, sdim, alpha, beta, vsl, ldvsl, vsr, ldvsr, rconde, rcondv, work, lwork, - rwork, iwork, liwork, bwork, info); - zggesx.eval(); - - //update - sdim = zggesx.getSDIM(); - - if(info != 0 && info != (n + 2)){ - System.out.printf("Failure in ZGGESX. INFO = %d\n", info); - factor = false; - } - else if(chkfac){ - //Compute A - Q*S*Z^H from the factorization of (A,B) and store in matrix D - //The NAG name equivalent of zgemm is f06zaf - alph = new NAGComplex(1, 0); - bet = new NAGComplex(0, 0); - ZGEMM zgemm = new ZGEMM("N", "N", n, n, n, alph, vsl, ldvsl, a, lda, bet, c, ldc); - zgemm.eval(); - - alph = new NAGComplex(-1, 0); - bet = new NAGComplex(1, 0); - zgemm = new ZGEMM("N", "C", n, n, n, alph, c, ldc, vsr, ldvsr, bet, d, ldd); - zgemm.eval(); - - //Compute B - Q*T*Z^H from the factorization of (A,B) and store in matrix E - alph = new NAGComplex(1, 0); - bet = new NAGComplex(0, 0); - zgemm = new ZGEMM("N", "N", n, n, n, alph, vsl, ldvsl, b, ldb, bet, c, ldc); - zgemm.eval(); - - alph = new NAGComplex(-1, 0); - bet = new NAGComplex(1, 0); - zgemm = new ZGEMM("N", "C", n, n, n, alph, c, ldc, vsr, ldvsr, bet, e, lde); - zgemm.eval(); - - //Find norms of matrices D and E and warn if either is too large - f06ua = new F06UA("0", ldd, n, d, ldd, rwork); - normd = f06ua.eval(); - X02AJ x02aj = new X02AJ(); - if(normd > Math.pow(x02aj.eval(), 0.75)){ - System.out.println("Norm of A-(Q*S*Z^T) is much greater than 0."); - factor = false; - System.out.println("Schur factorization has failed"); - } - f06ua = new F06UA("0", lde, n, e, lde, rwork); - norme = f06ua.eval(); - if(norme > Math.pow(x02aj.eval(), 0.75)){ - System.out.println("Norm of B-(Q*T*Z^T is much greater than 0."); - factor = false; - } - } - - if(factor){ - //Print eigenvalue details - System.out.printf("Number of eigenvalues for which SELCTG is true = %d\n", sdim); - System.out.println("(dimension of deflating subspaces)"); - - System.out.println(); - //Print selected (finite) generalized eigenvalues - System.out.println("Selected generalized eigenvalues"); - - //Store absolute values of eigenvalues for ranking - for(int i = 0; i < n; i++){ - work[i] = alpha[i].divide(beta[i]); - rwork[i] = NAGComplex.abs(work[i]); - } - - //Rank eigenvalues - ifail = 0; - M01DA m01da = new M01DA(rwork, 1, sdim, "Descending", iwork, ifail); - m01da.eval(); - - //Sort eigevalues in work - M01ED m01ed = new M01ED(work, 1, sdim, iwork, ifail); - m01ed.eval(); - for(int i = 0; i < sdim; i++){ - System.out.printf(" %d\t(%.2f, %.2f)\n", i + 1, work[i].getRe(), work[i].getIm()); - } - - if(info == n + 2){ - System.out.println("*** note that rounding errors mean that leading eigenvalues in"); - System.out.println("the generalized Schur form no longer satisfy SELCTG = TRUE"); - System.out.println(); - } - - if(prcond){ - //Compute the machine precision and sqrt(anorm^2 + bnorm^2) - X02AJ x02aj = new X02AJ(); - eps = x02aj.eval(); - F06BN f06bn = new F06BN(anorm, bnorm); - abnorm = f06bn.eval(); - tol = eps * abnorm; - - //Print out the reciprocal condition numbers and error bound for selected eigenvalues - System.out.println("Reciprocal condition numbers for the average of the selected"); - System.out.println("eigenvalues and their asymptotic error bound"); - System.out.printf("rcond-left = %.1e, rcond-right = %.1e, error = %.1e\n", rcondv[0], rcondv[1], tol/rcondv[1]); - } - } - else{ - System.out.println("Schur factorization has failed"); - } - - } - - /** - * Converts String read in from data file to NAGComplex value. - * @param s - * Complex number string - * @return new NAGComplex representing s - */ - public static NAGComplex parseComplex(String s){ - s = s.trim(); - double re = Double.parseDouble(s.substring(1, 7)); - double im = Double.parseDouble(s.substring(8)); - return new NAGComplex(re, im); - } - - /** - * Class representing function selctg implementing ZGGESX_SELCTG to pass to ZGGESX. - */ - public static class selctg extends ZGGESX.Abstract_ZGGESX_SELCTG{ - public boolean eval(){ - return (NAGComplex.abs((NAGComplex)this.A) < (6 * NAGComplex.abs((NAGComplex)this.B))); - } - } - -} diff --git a/simple_examples/G01ALJE.java b/simple_examples/G01ALJE.java deleted file mode 100644 index 672a151..0000000 --- a/simple_examples/G01ALJE.java +++ /dev/null @@ -1,55 +0,0 @@ -import com.nag.routines.G01.G01AL; - -/** - * G01ALJ Example Program Text - * @author willa - * @since 27.1.0.0 - */ -public class G01ALJE{ - - /** - * G01ALJ Example main program - */ - public static void main(String[] args){ - int ifail, n; - double[] x, res; - int[] iwrk; - - res = new double[5]; - - System.out.println("G01ALJ Example Program Results"); - System.out.println(); - - //Problem size - n = 12; - - //Allocate - x = new double[n]; - iwrk = new int[n]; - - //Data - x[0] = 12; - x[1] = 9; - x[2] = 2; - x[3] = 5; - x[4] = 6; - x[5] = 8; - x[6] = 2; - x[7] = 7; - x[8] = 3; - x[9] = 1; - x[10] = 11; - x[11] = 10; - - //Calculate summary statistics - ifail = 0; - G01AL g01al = new G01AL(n, x, iwrk, res, ifail); - g01al.eval(); - - System.out.printf("Maximum %.4f\n", res[4]); - System.out.printf("Upper Hinge (75%% quantile) %.4f\n", res[3]); - System.out.printf("Median (50%% quantile) %.4f\n", res[2]); - System.out.printf("Lower Hinge (25%% quantile) %.4f\n", res[1]); - System.out.printf("Minimum %.4f\n", res[0]); - } -} diff --git a/simple_examples/G02AKJE.java b/simple_examples/G02AKJE.java deleted file mode 100644 index 8ddaff2..0000000 --- a/simple_examples/G02AKJE.java +++ /dev/null @@ -1,68 +0,0 @@ -import com.nag.routines.G02.G02AK; -import com.nag.routines.X04.X04CA; - -/** - * G02AK example program text. - * @author joed - * @since 27.0.0.0 - */ -public class G02AKJE { - - /** - * G02AKJ example main program. - */ - public static void main(String[] args) { - - G02AK g02ak = new G02AK(); - X04CA x04ca = new X04CA(); - double errtol, f, rankerr, ranktol; - int i, ifail, ldg, ldx, maxit, maxits, n, nsub, rank; - double[] g, x; - - System.out.println("G02AKJ Example Program Results\n"); - - // Problem size - n = 4; - ldg = n; - ldx = n; - - // Rank constraint - rank = 2; - - // Matrix G (column-major) - g = new double[]{ - 2.0, -1.0, 0.0, 0.0, - -1.0, 2.0, -1.0, 0.0, - 0.0, -1.0, 2.0, -1.0, - 0.0, 0.0, -1.0, 2.0 - }; - - // Use the defaults for errtol, ranktol, maxits, maxit - errtol = 0.0; - ranktol = 0.0; - maxits = 0; - maxit = 0; - - // Calculate rank constrained nearest correlation matrix - ifail = 0; - x = new double[ldx*n]; - f = 0.0; - rankerr = 0.0; - nsub = 0; - g02ak.eval(g, ldg, n, rank, errtol, ranktol, maxits, maxit, x, ldx, f, - rankerr, nsub, ifail); - nsub = g02ak.getNSUB(); - f = g02ak.getF(); - rankerr = g02ak.getRANKERR(); - - // Display results - ifail = 0; - x04ca.eval("General", " ", n, n, x, ldx, "NCM with rank constraint", ifail); - System.out.println(); - System.out.printf("Number of subproblems solved: %12d\n\n", nsub); - System.out.printf("Squared Frobenius norm of difference: %9.4f\n\n", f); - System.out.printf("Rank error: %35.4f\n", rankerr); - - } - -} diff --git a/simple_examples/G02BJJE.java b/simple_examples/G02BJJE.java deleted file mode 100644 index 3de843e..0000000 --- a/simple_examples/G02BJJE.java +++ /dev/null @@ -1,303 +0,0 @@ -import com.nag.routines.G02.G02BJ; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * G02BJ example program text. - * @author ludovic - */ -public class G02BJJE { - - public static void main(String[] args) { - int i, ifail, ldcnt, ldr, ldssp, ldx, ncases = 0; //, m = 0, n = 0, nvars = 0; - double[] cnt, r, ssp, std, xbar;//, xmiss; - - if (args.length != 1) { - G02BJJE.usage(); - } - - String dataFile = args[0]; - DataHolder data = new DataHolder(); - readDataFile(dataFile, data); - System.out.println(" G02BJJ Example Program Results"); - System.out.println(); - - ldcnt = ldr = ldssp = data.nvars; - ldx = data.n; - cnt = new double[ldcnt * data.nvars]; - r = new double[ldr * data.nvars]; - ssp = new double[ldssp * data.nvars]; - std = new double[data.nvars]; - xbar = new double[data.nvars]; - - - //Display the data - - System.out.printf(" Number of variables (columns) = %5d\n", data.m); - System.out.printf(" Number of cases (rows) = %5d\n", data.n); - System.out.println(); - System.out.println(" Data matrix is:-"); - for (int ii = 0; ii < data.m; ++ii) { - System.out.printf(" %12d",ii+1); - } - System.out.println(); - for (int ii = 0; ii < data.n; ++ii) { - System.out.printf(" %3d ",ii+1); - for (int jj = 0; jj < data.m; ++jj) { - System.out.printf("%12.4f ",data.x[ii + jj * data.n]); - } - System.out.println(); - } - - ifail = 0; - G02BJ g02bj = new G02BJ(data.n, data.m, data.x, ldx, data.miss, data.xmiss, - data.nvars, data.kvar, xbar, std, ssp, ldssp, r, ldr, ncases, cnt, - ldcnt, ifail); - g02bj.eval(); - - data.n = g02bj.getN(); - data.m = g02bj.getM(); - data.x = g02bj.getX(); - ldx = g02bj.getLDX(); - data.miss = g02bj.getMISS(); - data.xmiss = g02bj.getXMISS(); - data.nvars = g02bj.getNVARS(); - data.kvar = g02bj.getKVAR(); - xbar = g02bj.getXBAR(); - std = g02bj.getSTD(); - ssp = g02bj.getSSP(); - ldssp = g02bj.getLDSSP(); - r = g02bj.getR(); - ldr = g02bj.getLDR(); - ncases = g02bj.getNCASES(); - cnt = g02bj.getCNT(); - ldcnt = g02bj.getLDCNT(); - ifail = g02bj.getIFAIL(); - - //Display results - System.out.println(); - System.out.println(" Variable\tMean\tSt.dev."); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %5d %11.4f %11.4f\n",data.kvar[ii], xbar[ii], std[ii]); - } - System.out.println(); - System.out.println(" Sums of squares and cross-products of deviations"); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %12d",data.kvar[ii]); - } - System.out.println(); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %3d",data.kvar[ii]); - for (int jj = 0; jj < data.nvars; ++jj) { - System.out.printf(" %12.4f",ssp[ii + ldssp * jj]); - } - System.out.println(); - } - System.out.println(); - System.out.println(" Correlation coefficients"); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %12d",data.kvar[ii]); - } - System.out.println(); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %3d",data.kvar[ii]); - for (int jj = 0; jj < data.nvars; ++jj) { - System.out.printf(" %12.4f",r[ii + ldr * jj]); - } - System.out.println(); - } - System.out.println(); - System.out.printf(" Minimum number of cases used for any pair of variables: %5d\n", ncases); - System.out.println(); - System.out.println(" Numbers used for each pair are:"); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %12d",data.kvar[ii]); - } - System.out.println(); - for (int ii = 0; ii < data.nvars; ++ii) { - System.out.printf(" %3d",data.kvar[ii]); - for (int jj = 0; jj < data.nvars; ++jj) { - System.out.printf(" %12.4f",cnt[ii + ldcnt * jj]); - } - System.out.println(); - } - System.out.println(); - } - - private static void usage() { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - /** - G02BJF Example Program Data - 5 4 3 :: N, M, NVARS - 3.0 3.0 1.0 2.0 - 6.0 4.0 -1.0 4.0 - 9.0 0.0 5.0 9.0 - 12.0 2.0 0.0 0.0 - -1.0 5.0 4.0 12.0 :: End of X - 1 1 0 1 :: MISS - -1.0 0.0 0.0 0.0 :: XMISS - 4 1 2 :: KVAR - */ - private static void readDataFile(String filename, DataHolder data) { - try { - BufferedReader br = new BufferedReader(new FileReader(filename)); - String line = br.readLine(); // skip header - line = br.readLine(); - String[] sVal = line.split("\\s+"); - data.setN(Integer.parseInt(sVal[0])); - data.setM(Integer.parseInt(sVal[1])); - data.setNvars(Integer.parseInt(sVal[2])); - - data.x = new double[data.n * data.m]; - data.miss = new int[data.m]; - data.xmiss = new double[data.m]; - data.kvar = new int[data.nvars]; - - for (int i = 0; i < data.n; ++i) { - line = br.readLine().trim(); - sVal = line.split("\\s+"); - for (int j = 0; j < data.m; ++j) { - data.x[i + j * data.n] = Double.parseDouble(sVal[j]); - } - } - line = br.readLine().trim(); - sVal = line.split("\\s+"); - for (int j = 0; j < data.m; ++j) { - data.miss[j] = Integer.parseInt(sVal[j]); - } - line = br.readLine().trim(); - sVal = line.split("\\s+"); - for (int j = 0; j < data.m; ++j) { - data.xmiss[j] = Double.parseDouble(sVal[j]); - } - - line = br.readLine().trim(); - sVal = line.split("\\s+"); - for (int j = 0; j < data.nvars; ++j) { - data.kvar[j] = Integer.parseInt(sVal[j]); - } - } - catch (FileNotFoundException ex) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch (IOException ex) { - System.err.println("***FATAL: Can't Read " + filename + "\n" + ex.getMessage()); - System.exit(-3); - } - - } - - private static class DataHolder { - private int n; - private int m; - private int nvars; - private double[] x; - private int[] miss; - private double[] xmiss; - private int[] kvar; - - /** - * @return the n - */ - public int getN() { - return n; - } - - /** - * @param n the n to set - */ - public void setN(int n) { - this.n = n; - } - - /** - * @return the m - */ - public int getM() { - return m; - } - - /** - * @param m the m to set - */ - public void setM(int m) { - this.m = m; - } - - /** - * @return the nvars - */ - public int getNvars() { - return nvars; - } - - /** - * @param nvars the nvars to set - */ - public void setNvars(int nvars) { - this.nvars = nvars; - } - - /** - * @return the x - */ - public double[] getX() { - return x; - } - - /** - * @param x the x to set - */ - public void setX(double[] x) { - this.x = x; - } - - /** - * @return the miss - */ - public int[] getMiss() { - return miss; - } - - /** - * @param miss the miss to set - */ - public void setMiss(int[] miss) { - this.miss = miss; - } - - /** - * @return the xmiss - */ - public double[] getXmiss() { - return xmiss; - } - - /** - * @param xmiss the xmiss to set - */ - public void setXmiss(double[] xmiss) { - this.xmiss = xmiss; - } - - /** - * @return the kvar - */ - public int[] getKvar() { - return kvar; - } - - /** - * @param kvar the kvar to set - */ - public void setKvar(int[] kvar) { - this.kvar = kvar; - } - } -} diff --git a/simple_examples/G02BRJE.java b/simple_examples/G02BRJE.java deleted file mode 100644 index 084f478..0000000 --- a/simple_examples/G02BRJE.java +++ /dev/null @@ -1,134 +0,0 @@ -import com.nag.routines.G02.G02BR; - -/** - * G02BRJ Example Program Text - * @author willa - * @since 27.1.0.0 - */ -public class G02BRJE{ - - /** - * G02BRJ Example main program - */ - public static void main(String[] args){ - int ifail, itype, ldrr, ldx, m, n, ncases = 0; //placeholder - double[] rr, work1, work2, x, xmiss; - int[] incase, kworka, kworkb, kworkc, miss; - - System.out.println("G02BRJ Example Program Results"); - System.out.println(); - - //Problem size - n = 9; - m = 3; - itype = 0; - - ldrr = m; - ldx = n; - - //Allocate - rr = new double[ldrr * m]; - work1 = new double[n]; - work2 = new double[n]; - x = new double[ldx * m]; - xmiss = new double[m]; - incase = new int[n]; - kworka = new int[n]; - kworkb = new int[n]; - kworkc = new int[n]; - miss = new int[m]; - - //Data - //X = (1.70, 1.00, 0.50) - // (2.80, 4.00, 3.00) - // (0.60, 6.00, 2.50) - // (1.80, 9.00, 6.00) - // (0.99, 4.00, 2.50) - // (1.40, 2.00, 5.50) - // (1.80, 9.00, 7.50) - // (2.50, 7.00, 0.00) - // (0.99, 5.00, 3.00) - x[0] = 1.7; - x[1] = 2.8; - x[2] = 0.6; - x[3] = 1.8; - x[4] = 0.99; - x[5] = 1.4; - x[6] = 1.8; - x[7] = 2.5; - x[8] = 0.99; - x[9] = 1; - x[10] = 4; - x[11] = 6; - x[12] = 9; - x[13] = 4; - x[14] = 2; - x[15] = 9; - x[16] = 7; - x[17] = 5; - x[18] = 0.5; - x[19] = 3; - x[20] = 2.5; - x[21] = 6; - x[22] = 2.5; - x[23] = 5.5; - x[24] = 7.5; - x[25] = 0; - x[26] = 3; - - //Missing value flags - miss[0] = 1; - miss[1] = 0; - miss[2] = 1; - xmiss[0] = 0.99; - xmiss[1] = 0; - xmiss[2] = 0; - - //Display data - System.out.printf("Number of variables (columns) = %d\n", m); - System.out.printf("Number of case (rows) = %d\n", n); - System.out.println(); - System.out.println("Data matrix is:-\n"); - System.out.println(); - for(int i = 0; i < m; i++){ - System.out.printf("\t %d", i + 1); - } - System.out.println(); - for(int i = 0; i < n; i++){ - System.out.printf(" %d\t", i + 1); - for(int j = 0; j < m; j++){ - System.out.printf("%.4f\t", x[(j * n) + i]); - } - System.out.println(); - } - System.out.println(); - - //Calculate correlation coefficients - ifail = 0; - G02BR g02br = new G02BR(n, m, x, ldx, miss, xmiss, itype, rr, ldrr, ncases, incase, kworka, kworkb, kworkc, - work1, work2, ifail); - g02br.eval(); - - //Update - ncases = g02br.getNCASES(); - - //Display results - System.out.println("Matrix of rank correlation coefficients:"); - System.out.println("Upper triangle -- Spearman's"); - System.out.println("Lower triangle -- Kendall's tau"); - System.out.println(); - for(int i = 0; i < m; i++){ - System.out.printf("\t %d", i + 1); - } - System.out.println(); - for(int i = 0; i < m; i++){ - System.out.printf(" %d\t", i + 1); - for(int j = 0; j < m; j++){ - System.out.printf("%.4f\t", rr[(j * m) + i]); - } - System.out.println(); - } - System.out.println(); - System.out.printf("Number of cases actually used: %d\n", ncases); - } -} diff --git a/simple_examples/G02DAJE.java b/simple_examples/G02DAJE.java deleted file mode 100644 index c390197..0000000 --- a/simple_examples/G02DAJE.java +++ /dev/null @@ -1,187 +0,0 @@ -import com.nag.routines.G02.G02BU; -import com.nag.routines.G02.G02DA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * G02DAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class G02DAJE{ - - /** - * G02DAJ Example main program - */ - public static void main(String[] args){ - double aic, arsq, en, mult, rsq, rss = 0, sw = 0, tol; - int idf = 0, ifail, ip, irank = 0, ldq, ldx, lwt, m, n; - boolean svd = false; - String mean, weight; - double[] b, cov, h, p, q, res, se, wk, wt, x, y, c, wmean; - int[] isx; - - System.out.println("G02DAJ Example Program Results"); - System.out.println(); - - c = new double[1]; - wmean = new double[1]; - - //Problem size (can be read in from data file - n = 12; - m = 4; - weight = "U"; - mean = "M"; - - if(weight.toLowerCase().equals("w")){ - lwt = n; - } - else{ - lwt = 0; - } - ldx = n; - - x = new double[ldx * m]; - y = new double[n]; - wt = new double[n]; - isx = new int[m]; - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - line = reader.readLine(); //skip n, m, weight, mean - - //Read in data - String[] sVal; - for(int i = 0; i < n; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int j = 0; j < m; j++){ - x[(j * n) + i] = Double.parseDouble(sVal[j]); - } - y[i] = Double.parseDouble(sVal[m]); - if(lwt > 0){ - wt[i] = Double.parseDouble(sVal[m + 1]); - } - } - - //Read in variable inclusion flags - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int i = 0; i < m; i++){ - isx[i] = Integer.parseInt(sVal[i]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - System.exit(-2); - } - - //Calcluate IP - ip = 0; - for(int i = 0; i < m; i++){ - if(isx[i] == 1){ - ip++; - } - } - if(mean.toLowerCase().equals("m")){ - ip = ip + 1; - } - - //Allocate - ldq = n; - b = new double[ip]; - cov = new double[((ip * ip) + ip)/2]; - h = new double[n]; - p = new double[ip * ip * (ip + 2)]; - q = new double[ldq * (ip + 1)]; - res = new double[n]; - se = new double[ip]; - wk = new double[ip * ip + (5 * (ip - 1))]; - - //Use suggested value for tolerance - tol = 0.000001; - - //fit general linear regression model - ifail = -1; - G02DA g02da = new G02DA(mean, weight, n, x, ldx, m, isx, ip, y, wt, rss, idf, b, se, cov, res, h, q, - ldq, svd, irank, p, tol, wk, ifail); - g02da.eval(); - ifail = g02da.getIFAIL(); - if(ifail != 0){ - if(ifail != 5){ - System.exit(-3); - } - } - - //Calculate (weighted) total sums of squares, adjusted for mean if required - //If in G02DAF, an intercept is added to the regression by including a comlumn of - //1's in X, rather than by using the MEAN argument then MEAN = "M" should be used - //in this call to G02BUF - ifail = 0; - G02BU g02bu = new G02BU(mean, weight, n, 1, y, n, wt, sw, wmean, c, ifail); - g02bu.eval(); - - idf = g02da.getIDF(); - irank = g02da.getIRANK(); - //Get effective number of observations (=N if there are no zero weights) - en = (double) idf + irank; - - rss = g02da.getRSS(); - //Calculate R-squared, corrected R-Squared and AIC - rsq = 1 - rss/c[0]; - if(mean.toLowerCase().equals("m")){ - mult = (en - 1) / (en - irank); - } - else{ - mult = en / (en - irank); - } - arsq = 1 - mult * (1 - rsq); - aic = en * Math.log(rss/en) + (2 * irank); - - svd = g02da.getSVD(); - //Disply results - if(svd){ - System.out.printf("Model not of full rank, rank = %d", irank); - System.out.println(); - } - System.out.printf("Residual sum of squares = %.4e\n", rss); - System.out.printf("Degrees of freedom = %d\n", idf); - System.out.printf("R-squared = %.4e\n", rsq); - System.out.printf("Adjusted R-squared = %.4e\n", arsq); - System.out.printf("AIC = %.4e\n", aic); - System.out.println(); - System.out.printf("Variable\tParameter estimate\tStandard error\n"); - System.out.println(); - if(ifail == 0){ - for(int i = 0; i < ip; i++){ - System.out.printf(" %d\t\t %.4e\t\t %.4e\n", (i + 1), b[i], se[i]); - } - } - else{ - for(int i = 0; i < ip; i++){ - System.out.printf(" %d\t\t %.4e\n", (i + 1), b[i]); - } - } - System.out.println(); - System.out.printf(" Obs\t\t Residuals\t\t H\n"); - System.out.println(); - for(int i = 0; i < n; i++){ - System.out.printf(" %d\t\t %.4e\t\t %.4e\n", (i + 1), res[i], h[i]); - } - - } -} diff --git a/simple_examples/G02EEJE.java b/simple_examples/G02EEJE.java deleted file mode 100644 index 5856fde..0000000 --- a/simple_examples/G02EEJE.java +++ /dev/null @@ -1,184 +0,0 @@ -import com.nag.routines.G02.G02EE; -import java.io.*; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * G02EE example program text. - */ -public class G02EEJE { - - public static void main(String[] args) throws Exception { - int vnlen = 3; - double chrss, f, fin, rss; - rss = chrss = f = Double.NaN; - int idf = 0, ifail = 0, ifr = 0, istep = 0, ldq, ldx, lwt, m, maxip, n, nterm = 0; - boolean addvar = false; - String mean, weight, newvar; - newvar = " "; - double[] exss, p, q, wk, wt, x, y; - int[] isx; - String[] free, model, vname; - - System.out.println(" G02EEJ Example Program Results\n"); - - BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); - - String line = dataIn.readLine(); - - String[] data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); - - n = Integer.parseInt(data[0]); - m = Integer.parseInt(data[1]); - mean = data[2].substring(1,2); - weight = data[3].substring(1,2); - fin = Double.parseDouble(data[4]); - - if (weight.equalsIgnoreCase("W")) { - lwt = n; - } - else { - lwt = 0; - } - ldx = n; - - x = new double[ldx*m]; - y = new double[n]; - wt = new double[lwt]; - isx = new int[m]; - vname = new String[m]; - - for (int i = 0; i < vname.length;++i) { - StringBuilder tmp = new StringBuilder(); - for (int j = 0; j < vnlen; ++j) { - tmp.append(" "); - } - vname[i] = tmp.toString(); - } - - if (lwt > 0) { - for (int i = 0; i < n; ++i) { - data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); - for (int j = 0; j < m; ++j) { - x[i+j*ldx] = Double.parseDouble(data[j]); - } - y[i] = Double.parseDouble(data[m]); - wt[i] = Double.parseDouble(data[m+1]); - } - } - else { - for (int i = 0; i < n; ++i) { - data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); - for (int j = 0; j < m; ++j) { - x[i+j*ldx] = Double.parseDouble(data[j]); - } - y[i] = Double.parseDouble(data[m]); - } - } - data = dataIn.readLine().trim().split("::")[0].trim().split("\\s+"); - for (int i = 0; i < m; ++i) { - isx[i] = Integer.parseInt(data[i]); - } - - data = dataIn.readLine().trim().split("::")[0].trim() - .replaceAll("^'","").replaceAll("'$","").split("'\\s+'"); - for (int i = 0; i < m; ++i) { - vname[i] = data[i].substring(0,3); - } - - dataIn.close(); - - maxip = 0; - for (int i = 0; i < m; ++i) { - if (isx[i] > 0) { - ++maxip; - } - } - - if (mean.equalsIgnoreCase("M")) { - maxip += 1; - } - - ldq = n; - model = new String[maxip]; - free = new String[maxip]; - exss = new double[maxip]; - q = new double[ldq*(maxip+2)]; - p = new double[maxip+1]; - wk = new double[2*maxip]; - - for (int i = 0; i < model.length; ++i) { - StringBuilder tmp = new StringBuilder(); - for (int j = 0; j < vnlen; ++j) { - tmp.append(" "); - } - model[i] = tmp.toString(); - } - for (int i = 0; i < free.length; ++i) { - StringBuilder tmp = new StringBuilder(); - for (int j = 0; j < vnlen; ++j) { - tmp.append(" "); - } - free[i] = tmp.toString(); - } - istep = 0; - ifail = -1; - - - G02EE g02ee = new G02EE(istep,mean,weight,n,m,x,ldx,vname,isx,maxip,y,wt,fin, - addvar,newvar,chrss,f,model,nterm,rss,idf,ifr,free,exss,q,ldq,p, - wk,ifail); - for (int i = 0; i < m; ++i) { - g02ee.setIFAIL(0); - g02ee.eval(); - - System.out.printf(" Step %2d\n",g02ee.getISTEP()); - if (!g02ee.getADDVAR()) { - System.out.printf(" No further variables added maximum F =%7.2f\n",g02ee.getF()); - System.out.print(" Free variables: "); - for (int j = 0; j < g02ee.getIFR(); ++j) { - System.out.print(" "+free[j]); - } - System.out.println(); - System.out.println(" Change in residual sums of squares for free variables:"); - for (int j = 0; j < g02ee.getIFR(); ++j) { - System.out.printf(" %9.4f",g02ee.getEXSS()[j]); - } - System.out.println(); - break; - } - else { - System.out.println(" Added variable is "+g02ee.getNEWVAR()); - System.out.printf(" Change in residual sum of squares = %12.4E\n",g02ee.getCHRSS()); - System.out.printf(" F Statistic = %7.2f\n",g02ee.getF()); - System.out.println(); - System.out.print(" Variables in model:"); - for (int j = 0; j < g02ee.getNTERM(); ++j) { - System.out.print(" "+g02ee.getMODEL()[j]); - } - System.out.println("\n"); - System.out.printf(" Residual sum of squares = %13.4E\n",g02ee.getRSS()); - System.out.printf(" Degrees of freedom = %2d\n",g02ee.getIDF()); - System.out.println(); - if (g02ee.getIFR() == 0) { - System.out.println(" No free variables remaining"); - break; - } - System.out.print(" Free variables: "); - for (int j = 0; j < g02ee.getIFR(); ++j) { - System.out.print(" "+free[j]); - } - System.out.println(); - System.out.println(" Change in residual sums of squares for free variables:"); - for (int j = 0; j < g02ee.getIFR(); ++j) { - System.out.printf(" %9.4f",g02ee.getEXSS()[j]); - } - System.out.println(); - - } - - } - - } - -} diff --git a/simple_examples/G02MAJE.java b/simple_examples/G02MAJE.java deleted file mode 100644 index 4a8bfcb..0000000 --- a/simple_examples/G02MAJE.java +++ /dev/null @@ -1,130 +0,0 @@ -import com.nag.routines.G02.G02MA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; -import java.util.Arrays; - -/** - * G02MAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class G02MAJE{ - - /** - * G02MAJ example main program - */ - public static void main(String[] args){ - int ifail, ip, ldb, ldd, lisx, lropt, m, mnstep, mtype, n, nstep = 0, pred, prey; - double[] b, d, fitsum, ropt, y; - int[] isx; - - isx = new int[0]; //placeholder - - System.out.println("G02MAJ Example Program Results"); - System.out.println(); - - //data (Could also read in from data file) - //Problem size - n = 20; - m = 6; - - //Model Specification - mtype = 1; - pred = 3; - prey = 1; - mnstep = 6; - lisx = 0; - - //Variable inclusion flags aren't needed in this example - ip = m; - - //Optional arguments (using defaults) - lropt = 0; - ropt = new double[lropt]; - - //D and Y - ldd = n; - y = new double[n]; - d = new double[ldd * m]; - - //Read in D and Y from data file (too large to write out) - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - line = reader.readLine(); //skip N, M - line = reader.readLine(); //skip mtype, pred, prey, mnstep, lisx - - String sVal[]; - - for(int i = 0; i < n; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int j = 0; j < m; j++){ - d[(j * n) + i] = Double.parseDouble(sVal[j]); - } - y[i] = Double.parseDouble(sVal[m]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - System.exit(-2); - } - - //Allocate output arrays - ldb = ip; - b = new double[ldb * (mnstep + 2)]; - fitsum = new double[6 * (mnstep + 1)]; - - //Call the model fitting routine - ifail = -1; - G02MA g02ma = new G02MA(mtype, pred, prey, n, m, d, ldd, isx, lisx, y, mnstep, ip, nstep, b, ldb, - fitsum, ropt, lropt, ifail); - g02ma.eval(); - ifail = g02ma.getIFAIL(); - if(ifail != 0){ - if(ifail != 112 && ifail != 161 && ifail != 162 && ifail !=163){ - //ifail = 112, 161, 162, 163 are warnings, so no need to terminate - System.exit(-2); - } - } - - //update - nstep = g02ma.getNSTEP(); - - //Display the parameter estimates - System.out.printf(" Step\t\t\tParameter Estimate\n"); - System.out.println("------------------------------------------------------"); - for(int i = 0; i < nstep; i++){ - System.out.printf(" %d", (i + 1)); - for(int j = 0; j < ip; j++){ - System.out.printf("\t%.3f", b[j + (i * nstep)]); - } - System.out.printf("\n"); - } - System.out.println(); - System.out.printf("alpha: %.3f\n", fitsum[nstep * 6]); - System.out.println(); - System.out.printf(" Step Sum\tRSS\t df\t Cp\t Ck\tStep Size\n"); - System.out.println("---------------------------------------------------------"); - for(int k = 0; k < nstep; k++){ - System.out.printf(" %d %.3f\t%.3f %d\t %.3f\t %.3f %.3f\n", (k + 1), fitsum[k * nstep], fitsum[(k * nstep) + 1], - (int)(Math.floor(fitsum[(k + nstep) + 2] + 0.5)), fitsum[(k * nstep) + 3], - fitsum[(k * nstep) + 4], fitsum[(k * nstep) + 5]); - } - System.out.println(); - System.out.printf("sigma^2: %.3f\n", fitsum[(nstep * 6) + 4]); - } -} diff --git a/simple_examples/G03GAJE.java b/simple_examples/G03GAJE.java deleted file mode 100644 index ba20592..0000000 --- a/simple_examples/G03GAJE.java +++ /dev/null @@ -1,355 +0,0 @@ -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.util.Arrays; -import com.nag.routines.G03.G03GA; -import com.nag.routines.X04.X04CA; -import com.nag.routines.Routine; - -/** - * G03GAJ example program text. - * @author willa - * @since 27.0.0.0 - */ -public class G03GAJE{ - - /** - * G03GAJ example main program. - */ - public static void main(String[] args){ - int i, ldx, lprob, riter, lds, sds, ifail = 0; - double[] w, g, s, f; - double tol, loglik = 0; - - if(args.length != 1){ - G03GAJE.usage(); - } - - // Data file name as argument - String filename = args[0]; - // DataHolder object to hold data read in from data file - DataHolder data = new DataHolder(); - - readDataFile(filename, data); - - System.out.println(" G03GAJ Example Program Results"); - System.out.println(); - - // Leading dimensions - ldx = data.n; - lprob = data.n; - - - switch(data.sopt){ - case 1: - s = new double[data.nvar * data.nvar * data.ng]; - lds = data.nvar; - sds = data.nvar; - break; - case 2: - s = new double[data.nvar * data.nvar * 1]; - lds = data.nvar; - sds = data.nvar; - break; - case 3: - s = new double[data.nvar * data.ng * 1]; - lds = data.nvar; - sds = data.ng; - break; - case 4: - s = new double[data.nvar * 1 * 1]; - lds = data.nvar; - sds = 1; - break; - default: - s = new double[1 * 1 * 1]; - lds = 1; - sds = 1; - break; - } - - // Allocate array size - g = new double[data.nvar * data.ng]; - w = new double[data.ng]; - f = new double[data.n * data.ng]; - tol = 0.0; - riter = 5; - - ifail = 0; - - // Create g03ga object with variables from data file - G03GA g03ga = new G03GA(data.n, data.m, data.x, ldx, data.isx, data.nvar, data.ng, data.popt, data.prob, - lprob, data.niter, riter, w, g, data.sopt, s, lds, sds, f, tol, loglik, ifail); - - // Run routine - g03ga.eval(); - - // Update variables - data.n = g03ga.getN(); - data.m = g03ga.getM(); - data.x = g03ga.getX(); - ldx = g03ga.getLDX(); - data.isx = g03ga.getISX(); - data.nvar = g03ga.getNVAR(); - data.ng = g03ga.getNG(); - data.popt = g03ga.getPOPT(); - data.prob = g03ga.getPROB(); - lprob = g03ga.getLPROB(); - data.niter = g03ga.getNITER(); - riter = g03ga.getRITER(); - w = g03ga.getW(); - g = g03ga.getG(); - data.sopt = g03ga.getSOPT(); - s = g03ga.getS(); - lds = g03ga.getLDS(); - sds = g03ga.getSDS(); - f = g03ga.getF(); - tol = g03ga.getTOL(); - loglik = g03ga.getLOGLIK(); - ifail = g03ga.getIFAIL(); - - // Results - X04CA x04ca = new X04CA(); - - System.out.println(); - ifail = 0; - x04ca.eval("g", "n", 1, data.ng, w, 1, "Mixing proportions", ifail); - - System.out.println(); - ifail = 0; - x04ca.eval("g", "n", data.nvar, data.ng, g, data.nvar, "Group means", ifail); - - System.out.println(); - switch(data.sopt){ - case 1: - for(i = 0; i < data.ng; i++){ - ifail = 0; - // Wrapper returns a 1-dimensional array so X04CA has to be called like this to mimic - // calling X04CA along the 3rd dimension - x04ca.eval("g", "n", data.nvar, data.nvar, - Arrays.copyOfRange(s, (i * (data.nvar * data.nvar)), (data.nvar * data.nvar * data.ng)), - lds, "Variance-cavariance matrix", ifail); - } - break; - case 2: - ifail = 0; - x04ca.eval("g", "n", data.nvar, data.nvar, s, lds, "Pooled Variance-covariance matrix", ifail); - break; - case 3: - ifail = 0; - x04ca.eval("g", "n", data.nvar, data.ng, s, lds, "Groupwise Variance", ifail); - break; - case 4: - ifail = 0; - x04ca.eval("g", "n", data.nvar, 1, s, lds, "Pooled Variance", ifail); - break; - case 5: - ifail = 0; - x04ca.eval("g", "n", 1, 1, s, lds, "Overall Variance", ifail); - break; - } - - System.out.println(); - ifail = 0; - x04ca.eval("g", "n", data.n, data.ng, f, data.n, "Densities", ifail); - - System.out.println(); - ifail = 0; - x04ca.eval("g", "n", data.n, data.ng, data.prob, data.n, "Membership probabilities", ifail); - - System.out.println(); - System.out.println("No. iterations: " + data.niter); - System.out.printf("Log-likelihood: %.04f\n", loglik); - } - - /** - * Read data from given filename and puts into DataHolder object - * @param filename - * Name of data file (absolute or relative path) - * @param data - * DataHolder object to store data from data file - */ - public static void readDataFile(String filename, DataHolder data){ - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - // Problem size - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - data.setN(Integer.parseInt(sVal[0])); - data.setM(Integer.parseInt(sVal[1])); - data.setNvar(Integer.parseInt(sVal[2])); - - // Number of groups - line = reader.readLine(); - sVal = line.split("\\s+"); - data.setNg(Integer.parseInt(sVal[0])); - - // Scaling option - line = reader.readLine(); - sVal = line.split("\\s+"); - data.setSopt(Integer.parseInt(sVal[0])); - - // Initial probabilities option - line = reader.readLine(); - sVal = line.split("\\s+"); - data.setPopt(Integer.parseInt(sVal[0])); - - // Maximum number of iterations - line = reader.readLine(); - sVal = line.split("\\s+"); - data.setNiter(Integer.parseInt(sVal[0])); - - // - data.x = new double[data.m * data.n]; - data.prob = new double[data.ng * data.n]; - data.isx = new int[data.m]; - - //Data matrix X - for(int i = 0; i < data.n; ++i){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int j = 0; j < data.m; ++j){ - data.x[i + (j * data.n)] = Double.parseDouble(sVal[j]); - } - } - - //Included variables - if(data.nvar != data.m){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int i = 0; i < data.m; ++i){ - data.isx[i] = Integer.parseInt(sVal[i]); - } - } - - - //Optionally read initial probabilities of group memebership (included in example data) - if(data.popt == 2){ - for(int i = 0; i < data.n; ++i){ - line = reader.readLine().trim(); - sVal = line.split("\\s+"); - for(int j = 0; j < data.ng; ++j){ - data.prob[i + (j * data.n)] = Double.parseDouble(sVal[j]); - } - } - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - - } - - /** - * Stores data from data file for later reference - */ - private static class DataHolder{ - private int n; - private int m; - private int nvar; - private int ng; - private int sopt; - private int popt; - private int niter; - private int isx[]; - private double x[]; - private double prob[]; - - public void setN(int n){ - this.n = n; - } - - public int getN(){ - return n; - } - - public void setM(int m){ - this.m = m; - } - - public int getM(){ - return m; - } - - public void setNvar(int nvar){ - this.nvar = nvar; - } - - public int getNvar(){ - return nvar; - } - - public void setNg(int ng){ - this.ng = ng; - } - - public int getNg(){ - return ng; - } - - public void setSopt(int sopt){ - this.sopt = sopt; - } - - public int getSopt(){ - return sopt; - } - - public void setPopt(int popt){ - this.popt = popt; - } - - public int getPopt(){ - return popt; - } - - public void setNiter(int niter){ - this.niter = niter; - } - - public int getNiter(){ - return niter; - } - - public void setIsx(int[] isx){ - this.isx = isx; - } - - public int[] getIsx(){ - return isx; - } - - public void setX(double[] x){ - this.x = x; - } - - public double[] getX(){ - return x; - } - - public void setProb(double[] prob){ - this.prob = prob; - } - - public double[] getProb(){ - return prob; - } - } - - /** - * No arguments supplied when example runs - */ - private static void usage() { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} - diff --git a/simple_examples/G05KFJE.java b/simple_examples/G05KFJE.java deleted file mode 100644 index 18ce755..0000000 --- a/simple_examples/G05KFJE.java +++ /dev/null @@ -1,105 +0,0 @@ -import com.nag.routines.G05.G05KF; -import com.nag.routines.G05.G05SA; -import com.nag.routines.Routine; -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; - -/** - * G05KFJ example program text. - * @author willa - * @since 27.0.0.0 - */ -public class G05KFJE{ - - /** - * G05KFJ example main program. - */ - public static void main(String[] args){ - //genid, subid only initilised so they can be set in try{} without java throwing error - int lseed = 1, nin = 5, nout = 6, genid = 0, n = 0, subid = 0; - int ifail, lstate; - int[] seed, state; - double x[]; - - System.out.println("G05KFJ Example Program Results"); - System.out.println(); - - //No file input given - if(args.length != 1){ - G05KFJE.usage(); - } - - seed = new int[lseed]; - - //Read in data from data fiel - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //Read in the base generator information and seed - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - genid = Integer.parseInt(sVal[0]); - subid = Integer.parseInt(sVal[1]); - seed[0] = Integer.parseInt(sVal[2]); - - //Read in sample size - line = reader.readLine(); - sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[0]); - - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - lstate = 0; - ifail = 0; - state = new int[lstate]; - - //Initial call to get size of STATE array - G05KF g05kf = new G05KF(genid, subid, seed, lseed, state, lstate, ifail); - g05kf.eval(); - - //Update local variables - lstate = g05kf.getLSTATE(); - state = g05kf.getSTATE(); - - //Reallocate STATE - state = new int[lstate]; - - //Update object variables - g05kf.setSTATE(state); - g05kf.eval(); - - //Update local variables - state = g05kf.getSTATE(); - - x = new double[n]; - - //Generate the variates - ifail = 0; - G05SA g05sa = new G05SA(n, state, x, ifail); - g05sa.eval(); - - //Display the variates - for(int i = 0; i < x.length; i++){ - System.out.printf("%.4f\n", x[i]); - } - } - - /** - * Print usage information. - */ - private static void usage(){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } -} diff --git a/simple_examples/G13AWJE.java b/simple_examples/G13AWJE.java deleted file mode 100644 index 9e829bd..0000000 --- a/simple_examples/G13AWJE.java +++ /dev/null @@ -1,31 +0,0 @@ -import com.nag.routines.G01.G01EW; -import com.nag.routines.G13.G13AW; -import java.util.logging.Level; -import java.util.logging.Logger; - -/** - * G13AW example program text. - */ -public class G13AWJE { - - public static void main(String[] args) { - - int n = 30, type = 1, p = 1, ifail = 1, method = 1, nsamp = 0; - double[] y = {-217.,-177.,-166.,-136.,-110.,-95.,-64.,-37.,-14.,-25.,-51., - -62.,-73.,-88.,-113.,-120.,-83.,-33.,-19.,21.,17.,44.,44.,78., - 88.,122.,126.,114.,85.,64}; - int[] state = new int[1]; - G13AW g13aw = new G13AW(type, p, n, y, ifail); - System.out.println(" G13AWJ Example Program Results\n"); - double ts = g13aw.eval(); - G01EW g01ew = new G01EW(method,type,n,ts,nsamp,state,ifail); - double pvalue = g01ew.eval(); - ifail = g01ew.getIFAIL(); - if (ifail == 0 || ifail == 201) { - System.out.printf("Dickey-Fuller test statistic = %6.3f\n", ts); - System.out.printf("associated p-value = %6.3f\n", pvalue); - } - - } - -} diff --git a/simple_examples/G13MEJE.java b/simple_examples/G13MEJE.java deleted file mode 100644 index a768a46..0000000 --- a/simple_examples/G13MEJE.java +++ /dev/null @@ -1,160 +0,0 @@ -import com.nag.routines.G13.G13ME; - -/** - * G13MEJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class G13MEJE{ - - /** - * G13MEJ main program - */ - public static void main(String[] args){ - double tau; - int ifail, lrcomm, m, nb, pn; - double[] iema, rcomm, sinit, t; - int[] inter, nbVal; - - inter = new int[2]; - - System.out.println("G13MEJ Example Program Results"); - System.out.println(); - - //data (can read in from data file) - //Number of iteration required - m = 2; - - //Decay parameter and interpolation method - tau = 2; - inter[0] = 3; - inter[1] = 2; - - //Initial values - sinit = new double[m + 2]; - sinit[0] = 5; - sinit[1] = 0.5; - sinit[2] = 0.5; - sinit[3] = 0.5; - - //Array of NB values in order - nbVal = new int[3]; - nbVal[0] = 5; - nbVal[1] = 10; - nbVal[2] = 15; - - //First block - double[] t1 = new double[nbVal[0]]; - double[] iema1 = new double[nbVal[0]]; - t1[0] = 7.5; - t1[1] = 8.2; - t1[2] = 18.1; - t1[3] = 22.8; - t1[4] = 25.8; - iema1[0] = 0.6; - iema1[1] = 0.6; - iema1[2] = 0.8; - iema1[3] = 0.1; - iema1[4] = 0.2; - - //Second block - double[] t2 = new double[nbVal[1]]; - double[] iema2 = new double[nbVal[1]]; - t2[0] = 26.8; - t2[1] = 31.1; - t2[2] = 38.4; - t2[3] = 45.9; - t2[4] = 48.2; - t2[5] = 48.9; - t2[6] = 57.9; - t2[7] = 58.5; - t2[8] = 63.9; - t2[9] = 65.2; - iema2[0] = 0.2; - iema2[1] = 0.5; - iema2[2] = 0.7; - iema2[3] = 0.1; - iema2[4] = 0.4; - iema2[5] = 0.7; - iema2[6] = 0.8; - iema2[7] = 0.3; - iema2[8] = 0.2; - iema2[9] = 0.5; - - //Third block - double[] t3 = new double[nbVal[2]]; - double[] iema3 = new double[nbVal[2]]; - t3[0] = 66.6; - t3[1] = 67.4; - t3[2] = 69.3; - t3[3] = 69.9; - t3[4] = 73.0; - t3[5] = 75.6; - t3[6] = 77.0; - t3[7] = 84.7; - t3[8] = 86.8; - t3[9] = 88.0; - t3[10] = 88.5; - t3[11] = 91.0; - t3[12] = 93.0; - t3[13] = 93.7; - t3[14] = 94.0; - iema3[0] = 0.2; - iema3[1] = 0.3; - iema3[2] = 0.8; - iema3[3] = 0.6; - iema3[4] = 0.1; - iema3[5] = 0.7; - iema3[6] = 0.9; - iema3[7] = 0.6; - iema3[8] = 0.3; - iema3[9] = 0.1; - iema3[10] = 0.1; - iema3[11] = 0.4; - iema3[12] = 1.0; - iema3[13] = 1.0; - iema3[14] = 0.1; - - //Print some titles - System.out.printf("\t\t\tIterated\n"); - System.out.println("\t\tTime\t EMA\n"); - System.out.println("--------------------------------"); - - lrcomm = 20 + m; - rcomm = new double[lrcomm]; - - pn = 0; - - //Loop through 3 blocks - for(int i = 0; i < nbVal.length; i++){ - //nb for given block - nb = nbVal[i]; - - //Use data for current block - if(i == 0){ - t = t1; - iema = iema1; - } - else if(i == 1){ - t = t2; - iema = iema2; - } - else{ - t = t3; - iema = iema3; - } - - ifail = 0; - G13ME g13me = new G13ME(nb, iema, t, tau, m, sinit, inter, pn, rcomm, lrcomm, ifail); - g13me.eval(); - pn = g13me.getPN(); - - //Display results for this block of data - for(int j = 0; j < nb; j++){ - System.out.printf("\t%d\t%.1f\t%.3f\n", pn - nb + (j + 1), t[j], iema[j]); - } - System.out.println(); - } - } -} - diff --git a/simple_examples/G13NAJE.java b/simple_examples/G13NAJE.java deleted file mode 100644 index 2032eb1..0000000 --- a/simple_examples/G13NAJE.java +++ /dev/null @@ -1,123 +0,0 @@ -import com.nag.routines.G13.G13NA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * G13NAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class G13NAJE{ - - /** - * G13NAJ example main program - */ - public static void main(String[] args){ - double beta = 0; - int ctype = 0, ifail, iparam = 0, minss = 0, n = 0, ntau = 0; //placeholder - double[] param, sparam, y; - int[] tau; - - param = new double[1]; - //Placeholder y to be read in from data file - y = new double[0]; - - System.out.println("G13NAJ Example Program Results"); - System.out.println(); - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //Read in the problem size - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - n = Integer.parseInt(sVal[0]); - - //Allocate enough size to hold the input series - y = new double[n]; - - //Read in the input series - for(int i = 0; i < 10; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - for(int j = 0; j < 10; j++){ - y[(i * 10) + j] = Double.parseDouble(sVal[j]); - } - } - - //Read in the type of change point, penalty and minimum segment size - line = reader.readLine(); - sVal = line.split("\\s+"); - ctype = Integer.parseInt(sVal[0]); - iparam = Integer.parseInt(sVal[1]); - beta = Double.parseDouble(sVal[2]); - minss = Integer.parseInt(sVal[3]); - - //Read in the distribution parameter (if required) - if(iparam == 1){ - line = reader.readLine(); - sVal = line.split("\\s+"); - param[0] = Double.parseDouble(sVal[0]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - System.exit(-2); - } - - //Output arrays - tau = new int[n]; - sparam = new double[(2 * n) + 2]; - - ifail = -1; - - //Call routine to detece change points - G13NA g13na = new G13NA(ctype, n, y, beta, minss, iparam, param, ntau, tau, sparam, ifail); - g13na.eval(); - - //update - ifail = g13na.getIFAIL(); - ctype = g13na.getCTYPE(); - ntau = g13na.getNTAU(); - - if(ifail == 0 || ifail == 200 || ifail == 201){ - //Display the results - if(ctype == 5 || ctype == 6){ - //Exponential or Poisson distribtion - System.out.printf(" -- Charge Points -- Distribution\n"); - System.out.printf(" Number Position Parameter \n"); - System.out.println("====================================="); - for(int i = 0; i < ntau; i++){ - System.out.printf(" %d\t %d\t%.2f", i + 1, tau[i], sparam[i]); - } - - } - else{ - //Normal of Gamma distribution - System.out.printf(" -- Charge Points -- --- Distribution ---\n"); - System.out.printf(" Number Position Parameters\n"); - System.out.println("================================================="); - for(int i = 0; i < ntau; i++){ - System.out.printf(" %d\t %d\t %.2f\t %.2f\n", (i + 1), tau[i], sparam[2 * i], sparam[(2 * i) + 1]); - } - } - } - if(ifail == 200 || ifail == 201){ - System.out.println("Some truncation occured internally to avoid overflow"); - } - } -} diff --git a/simple_examples/H02BBJE.java b/simple_examples/H02BBJE.java deleted file mode 100644 index 04f4207..0000000 --- a/simple_examples/H02BBJE.java +++ /dev/null @@ -1,92 +0,0 @@ -import com.nag.routines.H.H02BB; - -/** - * H02BBJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class H02BBJE{ - - /** - * H02BBJ example main program - */ - public static void main(String[] args){ - double bigbnd, objmip = 0, tolfes, toliv; - int ifail, intfst, itmax, lda, liwork, lrwork, m, maxdpt, maxnod, msglvl, n; - double[] a, bl, bu, cvec, rwork, x; - int[] intvar, iwork; - - System.out.println("H02BBJ Example Program Results"); - System.out.println(); - - //Data (can be read in from data file) - n = 2; - m = 3; - lda = m; - - a = new double[lda * n]; - bl = new double[m + n]; - bu = new double[m + n]; - cvec = new double[n]; - x = new double[n]; - intvar = new int[n]; - - itmax = 0; - msglvl = 10; - maxnod = 0; - intfst = 0; - maxdpt = 4; - tolfes = 0; - toliv = 0; - - cvec[0] = -3; - cvec[1] = -4; - - //A = ( 2, 5) - // ( 2, -2) - // ( 3, 2) - a[0] = 2; - a[1] = 2; - a[2] = 3; - a[3] = 5; - a[4] = -2; - a[5] = 2; - - bigbnd = 1E+20; - - bl[0] = 0; - bl[1] = 0; - bl[2] = -1E+20; - bl[3] = -1E+20; - bl[4] = 5; - - bu[0] = 1E+20; - bu[1] = 1E+20; - bu[2] = 15; - bu[3] = 5; - bu[4] = 1E+20; - - intvar[0] = 1; - intvar[1] = 1; - - x[0] = 1; - x[1] = 1; - - liwork = ((25 + n + m) * maxdpt) + (5 * n) + m + 4; - //Math.pow() needs to be casted to int in java - lrwork = (maxdpt * (n + 1)) + (2 * (int)Math.pow(Math.min(n, m + 1), 2)) + (14 * n) + (12 * m); - iwork = new int[liwork]; - rwork = new double[lrwork]; - - ifail = 0; - - H02BB h02bb = new H02BB(itmax, msglvl, n, m, a, lda, bl, bu, intvar, cvec, maxnod, intfst, maxdpt, toliv, - tolfes, bigbnd, x, objmip, iwork, liwork, rwork, lrwork, ifail); - h02bb.eval(); - } -} - - - - - diff --git a/simple_examples/H02DAJE.java b/simple_examples/H02DAJE.java deleted file mode 100644 index 6e90401..0000000 --- a/simple_examples/H02DAJE.java +++ /dev/null @@ -1,228 +0,0 @@ -import com.nag.routines.H.H02DA; -import com.nag.routines.H.H02ZK; -import com.nag.routines.H.H02ZL; -import com.nag.routines.X04.X04CA; -import java.util.Arrays; - -/** - * H02DAJ exmaple program text - * @author willa - * @since 27.1.0.0 - */ -public class H02DAJE{ - - /** - * H02DAJ example main program - */ - public static void main(String[] args){ - double acc, accqp = 0, objmip = 0; - int ifail, ivalue = 0, lda, liopts, lopts, maxit, n, nclin, ncnln, optype = 0; - String cvalue; - double[] a, ax, bl, bu, c, cjac, d, objgrd, x, opts, ruser; - int[] iopts, iuser, varcon; - - System.out.println("H02DAJ Example Program Results"); - System.out.println(); - - opts = new double[100]; - ruser = new double[1]; - iopts = new int[200]; - iuser = new int[1]; - - //Blank 40 character string to represent ```Character (40) :: cvalue``` - char[] ch = new char[40]; - Arrays.fill(ch, ' '); - cvalue = new String(ch); - - n = 8; - nclin = 5; - ncnln = 2; - lda = nclin; - - a = new double[lda * n]; - d = new double[nclin]; - ax = new double[nclin]; - bl = new double[n]; - bu = new double[n]; - varcon = new int[n + nclin + ncnln]; - x = new double[n]; - c = new double[ncnln]; - cjac = new double[ncnln * n]; - objgrd = new double[n]; - - //Set variable types: continuous then binary - varcon[0] = 0; - varcon[1] = 0; - varcon[2] = 0; - varcon[3] = 0; - varcon[4] = 1; - varcon[5] = 1; - varcon[6] = 1; - varcon[7] = 1; - - //Set continuous variable bounds - bl[0] = 0; - bl[1] = 0; - bl[2] = 0; - bl[3] = 0; - bu[0] = 1000; - bu[1] = 1000; - bu[2] = 1000; - bu[3] = 1000; - - //Bounds for binary variables need not be provided - bl[4] = 0; - bl[5] = 0; - bl[6] = 0; - bl[7] = 0; - bu[4] = 1; - bu[5] = 1; - bu[6] = 1; - bu[7] = 1; - - //Set linear constraint, equality first - varcon[n] = 3; - varcon[n + 1] = 4; - varcon[n + 2] = 4; - varcon[n + 3] = 4; - varcon[n + 4] = 4; - - //Set Ax=d then Ax>=d - //( 1, 1, 1, 1, 0, 0, 0, 0) - //(-1, 0, 0, 0, 1, 0, 0, 0) - //( 0,-1, 0, 0, 0, 1, 0, 0) - //( 0, 0,-1, 0, 0, 0, 1, 0) - //( 0, 0, 0,-1, 0, 0, 0, 1) - a[0] = 1; - a[1] = -1; - a[5] = 1; - a[7] = -1; - a[10] = 1; - a[13] = -1; - a[15] = 1; - a[19] = -1; - a[21] = 1; - a[27] = 1; - a[33] = 1; - a[39] = 1; - d[0] = 1; - d[1] = 0; - d[2] = 0; - d[3] = 0; - d[4] = 0; - - //Set constraints supplied by CONFUN, equality first - varcon[n + nclin] = 3; - varcon[n + nclin + 1] = 4; - - liopts = iopts.length; - lopts = opts.length; - - //Initialize communication arrays - ifail = 0; - H02ZK h02zk = new H02ZK("Initialize = H02DAF", iopts, liopts, opts, lopts, ifail); - h02zk.eval(); - - - //Optimization parameters - maxit = 500; - acc = 0.000001; - - //Initial estimate (binary variables need not be given) - x[0] = 1; - x[1] = 1; - x[2] = 1; - x[3] = 1; - x[4] = 0; - x[5] = 0; - x[6] = 0; - x[7] = 0; - - //Portfolio parameters p and rho - iuser[0] = 3; - ruser[0] = 10; - - ifail = 0; - //Create objfun1, confun1 to pass to H02DA representing repsecitve subroutines - objfun objfun1 = new objfun(); - confun confun1 = new confun(); - H02DA h02da = new H02DA(n, nclin, ncnln, a, lda, d, ax, bl, bu, varcon, x, confun1, c, cjac, objfun1, - objgrd, maxit, acc, objmip, iopts, opts, iuser, ruser, ifail); - h02da.eval(); - - //Results - ifail = h02da.getIFAIL(); - if(ifail == 0){ - X04CA x04ca = new X04CA("G", "N", n, 1, x, n, "Final Esimate:", ifail); - x04ca.eval(); - - //Query the accuracy of the mixed integer QP Solver - ifail = -1; - H02ZL h02zl = new H02ZL("QP Accuracy", ivalue, accqp, cvalue, optype, iopts, opts, ifail); - h02zl.eval(); - - //Update values to print - accqp = h02zl.getRVALUE(); - objmip = h02da.getOBJMIP(); - ifail = h02zl.getIFAIL(); - if(ifail == 0){ - System.out.printf("Requested accuracy of QP subproblems\t%.4e\n", accqp); - } - System.out.printf("Optimised value:\t%.3f\n", objmip); - } - else{ - System.out.printf("h02daf returns ifail = %d\n", ifail); - } - } - - /** - * objfun class extending Abstract_H02DA_OBJFUN to represent objfun subroutine for passing to H02DA - */ - public static class objfun extends H02DA.Abstract_H02DA_OBJFUN{ - public void eval(){ - if(this.MODE == 0){ - //Objective value - this.OBJMIP = (this.X[0] * ((4 * this.X[0]) + (3 * this.X[1]) - this.X[2])) - + (this.X[1] * ((3 * this.X[0]) + (6 * this.X[1]) + this.X[2])) - + (this.X[2] * (this.X[1] - this.X[0] + (10 * this.X[2]))); - } - else{ - //Objective gradients for continous varaiables - this.OBJGRD[0] = (8 * this.X[0]) + (6 * this.X[1]) - (2 * this.X[2]); - this.OBJGRD[1] = (6 * this.X[0]) + (12 * this.X[1]) + (2 * this.X[2]); - this.OBJGRD[2] = (2 * (this.X[1] - this.X[0])) + (20 * this.X[2]); - this.OBJGRD[3] = 0; - } - } - } - - /** - * confun class extending Abstract_H02DA_CONFUN to represent confun subroutine for passing to H02DA - */ - public static class confun extends H02DA.Abstract_H02DA_CONFUN{ - public void eval(){ - if(this.MODE == 0){ - //Constraints - int p = this.IUSER[0]; - double rho = this.RUSER[0]; - - //Mean return rho: - this.C[0] = (8 * this.X[0]) + (9 * this.X[1]) + (12 * this.X[2]) + (7 * this.X[3]) - rho; - //Maximum of p assets in portfolio - this.C[1] = p - this.X[4] - this.X[5] - this.X[6] - this.X[7]; - } - else{ - //Jacobian - this.CJAC[0] = 8; - this.CJAC[2] = 9; - this.CJAC[4] = 12; - this.CJAC[6] = 7; - //c[2] does not include continuours varaibles which requries that their derivatives are zero - this.CJAC[1] = 0; - this.CJAC[3] = 0; - this.CJAC[5] = 0; - this.CJAC[7] = 0; - } - } - } -} diff --git a/simple_examples/M01CCJE.java b/simple_examples/M01CCJE.java deleted file mode 100644 index fda5e2f..0000000 --- a/simple_examples/M01CCJE.java +++ /dev/null @@ -1,42 +0,0 @@ -import com.nag.routines.M01.M01CC; -import java.io.*; - -/** - * M01CC example program text. - */ -public class M01CCJE { - - public static void main(String[] args) throws Exception { - - String[] ch; - String order = "Reverse ASCII"; - int m1,m2,l1,l2; - int ifail = 0; - - BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); - - dataIn.readLine(); - m2 = Integer.parseInt(dataIn.readLine().trim().split(":+")[0].trim()); - ch = new String[m2]; - m1 = 1; - for (int i = m1-1; i < m2; ++i) { - ch[i] = dataIn.readLine(); - } - dataIn.close(); - l1 = 7; - l2 = 12; - - System.out.println(" M01CCJ Example Program Results"); - M01CC m01cc = new M01CC(ch, m1, m2, l1, l2, order, ifail); - m01cc.eval(); - ifail = m01cc.getIFAIL(); - System.out.println(); - System.out.printf(" Records sorted on columns %2d to %2d\n",l1,l2); - System.out.println(); - for (int i = m1-1; i < m2; ++i) { - System.out.println(" "+ch[i]); - } - - } - -} diff --git a/simple_examples/S01BAJE.java b/simple_examples/S01BAJE.java deleted file mode 100644 index 4bf2823..0000000 --- a/simple_examples/S01BAJE.java +++ /dev/null @@ -1,39 +0,0 @@ -import com.nag.routines.S.S01BA; - -/** - * S01BAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S01BAJE{ - - /** - * S01BAJE main program - */ - public static void main(String[] args){ - double y; - int ifail; - double[] xVal; //data - - //store data - xVal = new double[6]; - xVal[0] = 2.5; - xVal[1] = 0.125; - xVal[2] = -0.906; - xVal[3] = 0.00129; - xVal[4] = -0.00000783; - xVal[5] = 0.000000001; - - System.out.println("S01BAJ Example Program Results"); - System.out.println(); - System.out.printf("\tX\t\tY\n"); - - for(double x : xVal){ - ifail = -1; - S01BA s01ba = new S01BA(x, ifail); - y = s01ba.eval(); - - System.out.printf("\t%.4e\t%.4e\n", x, y); - } - } -} diff --git a/simple_examples/S10AAJE.java b/simple_examples/S10AAJE.java deleted file mode 100644 index 2a0878a..0000000 --- a/simple_examples/S10AAJE.java +++ /dev/null @@ -1,40 +0,0 @@ -import com.nag.routines.S.S10AA; - -/** - * S10AAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S10AAJE{ - - /** - * S10AAJ example main program - */ - public static void main(String[] args){ - double y; - double[] xVal; - int ifail; - - //x values (can be read in from data file) - xVal = new double[4]; - xVal[0] = -20; - xVal[1] = -5.0; - xVal[2] = 0.5; - xVal[3] = 5.0; - - System.out.println("S10AAJ Example Program Results"); - - System.out.println(); - System.out.printf("\tX\t\tY"); - System.out.println(); - - for(double x : xVal){ - ifail = -1; - S10AA s10aa = new S10AA(x, ifail); - y = s10aa.eval(); - ifail = s10aa.getIFAIL(); - - System.out.printf("\t%.3e\t%.3e\n", x, y); - } - } -} diff --git a/simple_examples/S10ABJE.java b/simple_examples/S10ABJE.java deleted file mode 100644 index dd84ab7..0000000 --- a/simple_examples/S10ABJE.java +++ /dev/null @@ -1,41 +0,0 @@ -import com.nag.routines.S.S10AB; - -/** - * S10ABJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S10ABJE{ - - /** - * S10ABJ example main program - */ - public static void main(String[] args){ - double y; - double[] xVal; - int ifail; - - //x values (can be read in from data file) - xVal = new double[5]; - xVal[0] = -10; - xVal[1] = -0.5; - xVal[2] = 0; - xVal[3] = 0.5; - xVal[4] = 25.0; - - System.out.println("S10ABJ Example Program Results"); - - System.out.println(); - System.out.printf("\tX\t\tY"); - System.out.println(); - - for(double x : xVal){ - ifail = -1; - S10AB s10ab = new S10AB(x, ifail); - y = s10ab.eval(); - ifail = s10ab.getIFAIL(); - - System.out.printf("\t%.3e\t%.3e\n", x, y); - } - } -} diff --git a/simple_examples/S10ACJE.java b/simple_examples/S10ACJE.java deleted file mode 100644 index cc0c04c..0000000 --- a/simple_examples/S10ACJE.java +++ /dev/null @@ -1,41 +0,0 @@ -import com.nag.routines.S.S10AC; - -/** - * S10ACJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S10ACJE{ - - /** - * S10ACJ example main program - */ - public static void main(String[] args){ - double y; - double[] xVal; - int ifail; - - //x values (can be read in from data file) - xVal = new double[5]; - xVal[0] = -10; - xVal[1] = -0.5; - xVal[2] = 0; - xVal[3] = 0.5; - xVal[4] = 25.0; - - System.out.println("S10ACJ Example Program Results"); - - System.out.println(); - System.out.printf("\tX\t\tY"); - System.out.println(); - - for(double x : xVal){ - ifail = -1; - S10AC s10ac = new S10AC(x, ifail); - y = s10ac.eval(); - ifail = s10ac.getIFAIL(); - - System.out.printf("\t%.3e\t%.3e\n", x, y); - } - } -} diff --git a/simple_examples/S14ABJE.java b/simple_examples/S14ABJE.java deleted file mode 100644 index 673a4b3..0000000 --- a/simple_examples/S14ABJE.java +++ /dev/null @@ -1,71 +0,0 @@ -import com.nag.routines.S.S14AB; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * S14ABJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S14ABJE{ - - /** - * S14ABJ example main program - */ - public static void main(String[] args){ - double x, y; - int ifail; - - System.out.println("S14ABJ Example Program Results"); - - //Supply file path as argument - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - System.out.println(); - System.out.printf("\tX\t\tY"); - System.out.println(); - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //loop until break - while(true){ - line = reader.readLine(); - - //if finished looping through file break - if(line == null){ - break; - } - String[] sVal = line.split("\\s+"); - - x = Double.parseDouble(sVal[1]); - - ifail = -1; - S14AB s14ab = new S14AB(x, ifail); - y = s14ab.eval(); - //update ifail - ifail = s14ab.getIFAIL(); - - if(ifail < 0){ - break; - } - System.out.printf("\t%.3e\t%.3e\n", x, y); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} - diff --git a/simple_examples/S14ACJE.java b/simple_examples/S14ACJE.java deleted file mode 100644 index e2fff05..0000000 --- a/simple_examples/S14ACJE.java +++ /dev/null @@ -1,68 +0,0 @@ -import com.nag.routines.S.S14AC; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * S14ACJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S14ACJE{ - - /** - * S14ACJ example main program - */ - public static void main(String[] args){ - double f, x; - int ifail; - - System.out.println("S14ACJ Example Program Results"); - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - System.out.println(); - System.out.printf("\tX\tpsi(X)-log(X)\n"); - System.out.println(); - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //Loop until break... - while(true){ - line = reader.readLine(); - if(line == null){ - break; - } - String[] sVal = line.split("\\s+"); - - x = Double.parseDouble(sVal[0]); - - ifail = -1; - S14AC s14ac = new S14AC(x, ifail); - f = s14ac.eval(); - ifail = s14ac.getIFAIL(); - - if(ifail < 0){ - break; - } - - System.out.printf("\t%.4f\t%.4f\n", x, f); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} diff --git a/simple_examples/S14AFJE.java b/simple_examples/S14AFJE.java deleted file mode 100644 index 9005cc1..0000000 --- a/simple_examples/S14AFJE.java +++ /dev/null @@ -1,80 +0,0 @@ -import com.nag.routines.S.S14AF; -import com.nag.routines.Routine; -import com.nag.types.NAGComplex; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * S14AFJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class S14AFJE{ - - /** - * S14AFJ Example main program - */ - public static void main(String[] args){ - NAGComplex y, z; - int ifail, k; - - //Tell the wrapper the type of complex being used before calling a routine - Routine.setComplex(new NAGComplex()); - - y = new NAGComplex(); - z = new NAGComplex(); - - System.out.println("S14AFJ Example Program Results"); - - //Supply file path as terminal input - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); - - System.out.println(); - System.out.println("\tZ\t\tK\t(d^K/dz^K)psi(Z)"); - System.out.println(); - - //loop until break... - while(true){ - line = reader.readLine(); - - //end of file reached - if(line == null){ - break; - } - - String[] sVal = line.split("\\s+"); - z.setRe(Double.parseDouble(sVal[0])); - z.setIm(Double.parseDouble(sVal[1])); - k = Integer.parseInt(sVal[2]); - - ifail = -1; - S14AF s14af = new S14AF(z, k, ifail); - y = (NAGComplex) s14af.eval(); - ifail = s14af.getIFAIL(); - - //ifail < 0 => error - if(ifail < 0){ - break; - } - System.out.printf("\t(%.1f, %.1f)\t%d\t(%.4e, %.4e)\n", z.getRe(), z.getIm(), k, y.getRe(), y.getIm()); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} diff --git a/simple_examples/S17DCJE.java b/simple_examples/S17DCJE.java deleted file mode 100644 index ba01290..0000000 --- a/simple_examples/S17DCJE.java +++ /dev/null @@ -1,69 +0,0 @@ -import com.nag.routines.S.S17DC; -import com.nag.types.NAGComplex; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -public class S17DCJE{ - private static int n = 2; - - public static void main(String[] args){ - double fnu; - int ifail, nz = 0; - String scal; - NAGComplex z; - NAGComplex[] cwrk, cy; - - z = new NAGComplex(); - //initiate complex arrays like this to save looping through and doing it manually by looping through - cwrk = NAGComplex.createArray(n); - cy = NAGComplex.createArray(n); - - System.out.println("S17DCF Example Program Results"); - - //Supply file path as argument - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - System.out.println(); - System.out.printf("Calling with N = %d\n", n); - System.out.println(); - System.out.printf("FNU\tZ\t\t\tSCAL\tCY[0]\t\t\tCY[1]\t\t\tNZ"); - System.out.println(); - - while(true){ - line = reader.readLine(); - if(line == null){ - break; - } - String[] sVal = line.split("\\s+"); - fnu = Double.parseDouble(sVal[0]); - z.setRe(Double.parseDouble(sVal[1])); - z.setIm(Double.parseDouble(sVal[2])); - scal = sVal[3].substring(1,2); - - ifail = 0; - S17DC s17dc = new S17DC(fnu, z, n, scal, cy, nz, cwrk, ifail); - s17dc.eval(); - - System.out.printf("%.4f\t(%.4f, %.4f)\t%s\t(%.4f, %.4f)\t(%.4f, %.4f)\t%d\n", fnu, z.getRe(), z.getIm(), scal, cy[0].getRe(), cy[0].getIm(), cy[1].getRe(), cy[1].getIm(), nz); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - } -} - diff --git a/simple_examples/S17DGJE.java b/simple_examples/S17DGJE.java deleted file mode 100644 index b93c9e0..0000000 --- a/simple_examples/S17DGJE.java +++ /dev/null @@ -1,61 +0,0 @@ -import com.nag.routines.S.S17DG; -import com.nag.types.NAGComplex; -import java.io.*; -import java.util.regex.Matcher; -import java.util.regex.Pattern; - -/** - * S17DG example program text. - */ -public class S17DGJE { - - public static void main(String[] args) throws Exception { - String deriv,scal; - int ifail = 1; - NAGComplex z,ai; - int nz = -1; - z = new NAGComplex(); - ai = new NAGComplex(); - ai.setRe(Double.NaN); - ai.setIm(Double.NaN); - - System.out.println(" S17DGJ Example Program Results"); - BufferedReader dataIn = new BufferedReader(new FileReader(args[0])); - - dataIn.readLine(); - System.out.println(); - System.out.println(" DERIV Z SCAL AI NZ"); - System.out.println(); - String line = dataIn.readLine(); - Pattern linePatt = Pattern.compile("\\s*'([A-Z]{1})'\\s+\\(\\s*([0-9\\.\\-]+)\\s*," - + "\\s*([0-9\\.\\-]+)\\s*\\)\\s+'([A-Z]{1})'\\s*"); - Matcher m; - S17DG s17dg = new S17DG(); - while (line != null) { - m = linePatt.matcher(line); - if (m.matches()) { - deriv = m.group(1); - z.setRe(Double.parseDouble(m.group(2))); - z.setIm(Double.parseDouble(m.group(3))); - scal = m.group(4); - ifail = 1;// SOFT AND SILENT FAILURE - s17dg.eval(deriv,z,scal,ai,nz,ifail); - if (s17dg.getIFAIL() == 0) { - System.out.printf(" %s (%8.4f,%8.4f) %s (%8.4f,%8.4f) %4d\n", - s17dg.getDERIV(), s17dg.getZ().getRe(), s17dg.getZ().getIm(), s17dg.getSCAL(), - s17dg.getAI().getRe(), s17dg.getAI().getIm(), s17dg.getNZ()); - } - else { - System.err.println("Something went wrong - S17DG returned IFAIL = "+s17dg.getIFAIL()); - System.exit(-1); - } - } - else { - System.out.println("Can't match:\n"+line); - } - line = dataIn.readLine(); - } - - } - -} diff --git a/simple_examples/S30AAJE.java b/simple_examples/S30AAJE.java deleted file mode 100644 index 7e01ffe..0000000 --- a/simple_examples/S30AAJE.java +++ /dev/null @@ -1,109 +0,0 @@ -import com.nag.routines.S.S30AA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * S30AAJ Example program text - * @author willa - * @since 27.1.0.0 - */ -public class S30AAJE{ - - /** - * S30AAJ main program - */ - public static void main(String[] args){ - double q = 0, r = 0, s = 0, sigma = 0; - int ifail, ldp, m = 0, n = 0; - String calput = ""; //placeholders - double[] p, t, x; - - //placeholders - t = new double[0]; - x = new double[0]; - - System.out.println("S30AAJ Example Program Results"); - - //Supply file path as arugment - if(args.length != 1){ - System.out.println("Please specify path to data file"); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - calput = sVal[0].substring(1,2); - - line = reader.readLine(); - sVal = line.split("\\s+"); - s = Double.parseDouble(sVal[0]); - sigma = Double.parseDouble(sVal[1]); - r = Double.parseDouble(sVal[2]); - q = Double.parseDouble(sVal[3]); - - line = reader.readLine(); - sVal = line.split("\\s+"); - m = Integer.parseInt(sVal[0]); - n = Integer.parseInt(sVal[1]); - - t = new double[n]; - x = new double[m]; - - for(int i = 0; i < m; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - x[i] = Double.parseDouble(sVal[0]); - } - for(int i = 0; i < n; i++){ - line = reader.readLine(); - sVal = line.split("\\s+"); - t[i] = Double.parseDouble(sVal[0]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - ldp = m; - p = new double[ldp * n]; - - ifail = 0; - S30AA s30aa = new S30AA(calput, m, n, x, s, t, sigma, r, q, p, ldp, ifail); - s30aa.eval(); - - System.out.println(); - System.out.println("Black-Scholes-Merton formula"); - - if(calput.toLowerCase().equals("c")){ - System.out.println("European Call : "); - } - else if(calput.toLowerCase().equals("p")){ - System.out.println("European Put : "); - } - - System.out.printf(" Spot =\t%.4f\n", s); - System.out.printf(" Volatility =\t%.4f\n", sigma); - System.out.printf(" Rate =\t%.4f\n", r); - System.out.printf(" Dividend =\t%.4f\n", q); - - System.out.println(); - System.out.printf(" Strike\tExpiry\tOption Price\n"); - for(int i = 0; i < m; i++){ - for(int j = 0; j < n; j++){ - System.out.printf(" %.4f\t%.4f\t%.4f\n", x[i], t[j], p[i + (j * 3)]); - } - } - } -} - diff --git a/simple_examples/S30ACJE.java b/simple_examples/S30ACJE.java deleted file mode 100644 index 8d994dc..0000000 --- a/simple_examples/S30ACJE.java +++ /dev/null @@ -1,129 +0,0 @@ -import java.io.BufferedReader; -import java.io.FileNotFoundException; -import java.io.FileReader; -import java.io.IOException; -import java.util.Arrays; - -import com.nag.routines.S.S30AC; - -/** - * S30AC example program text. - */ -public class S30ACJE { - - public static void main(String[] args) { - - int i, ifail, mode = 0, n = 0; - String calput; - - double[] k = null, p = null, r = null, s0 = null, sigma = null, t = null; - int[] ivalid = null; - - // Strings must be length expected by Fortran - calput = getBlankString(1); - - /* Header */ - System.out.println(" S30ACJ Example Program Results"); - - // Specify path to data file - if (args.length != 1) { - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try { - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); // skip header - - System.out.println(); - System.out.println(" SIGMA IVALID"); - System.out.println(); - - line = reader.readLine(); - String[] sVal = line.trim().split("\\s+"); - calput = sVal[0].replaceAll("\'", ""); - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - n = Integer.parseInt(sVal[0]); - mode = Integer.parseInt(sVal[1]); - - line = reader.readLine(); // skip empty line - - p = new double[n]; - k = new double[n]; - s0 = new double[n]; - t = new double[n]; - r = new double[n]; - sigma = new double[n]; - ivalid = new int[n]; - - // Read p, k, s0, t and r from data file - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - p[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - k[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - s0[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - t[i] = Double.parseDouble(sVal[i]); - } - - line = reader.readLine(); - sVal = line.trim().split("\\s+"); - for (i = 0; i < n; i++) { - r[i] = Double.parseDouble(sVal[i]); - } - - } catch (FileNotFoundException e) { - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } catch (IOException e) { - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - // Find the implied volatilities, sigma - ifail = 0; - S30AC s30ac = new S30AC(); - s30ac.eval(calput, n, p, k, s0, t, r, sigma, mode, ivalid, ifail); - - // Print solution - for (i = 0; i < n; i++) { - System.out.printf(" %12.3E%5d\n", sigma[i], ivalid[i]); - } - - } - - /** - * Returns a new String, filled with spaces to the specified length. - * - * @param len the required length of the String - * @return a blank String of the specified length - */ - public static String getBlankString(int len) { - - if (len > 0) { - char[] arr = new char[len]; - Arrays.fill(arr, ' '); - return new String(arr); - } - - return ""; - - } -} diff --git a/simple_examples/X03AAJE.java b/simple_examples/X03AAJE.java deleted file mode 100644 index b03f1ab..0000000 --- a/simple_examples/X03AAJE.java +++ /dev/null @@ -1,87 +0,0 @@ -import com.nag.routines.X03.X03AA; -import java.io.BufferedReader; -import java.io.FileReader; -import java.io.FileNotFoundException; -import java.io.IOException; - -/** - * X03AAJ example program text. - * @author willa - * @since 27.1.0.0 - */ -public class X03AAJE{ - - /** - * X03AAJ example main program. - */ - public static void main(String[] args){ - int n = 3; - double c1 = 0, c2 = 0, d1 = 0, d2 = 0; //placeholder - int ifail, isizea, isizeb, istepa, istepb; - boolean sw; - double[] a, b; - - a = new double[n * n]; - b = new double[n]; - - System.out.println("X03AAF Example Program Results"); - System.out.println(); - - if(args.length != 1){ - System.err.println("Please specify the path to the data file."); - System.exit(-1); - } - - String filename = args[0]; - try{ - BufferedReader reader = new BufferedReader(new FileReader(filename)); - String line = reader.readLine(); //skip header - - //stored column wise - //a = (-2, -3, 7) - // ( 2, -5, 3) - // (-9, 1, 0) - for(int i = 0; i < n; i++){ - line = reader.readLine(); - String[] sVal = line.split("\\s+"); - for(int j = 0; j < n; j++){ - a[i + (j * n)] = Double.parseDouble(sVal[j + 1]); - } - } - - line = reader.readLine(); - for(int i = 0; i < n; i++){ - String[] sVal = line.split("\\s+"); - b[i] = Double.parseDouble(sVal[i + 1]); - } - } - catch(FileNotFoundException e){ - System.err.println("***FATAL: Can't find " + filename); - System.exit(-2); - } - catch(IOException e){ - System.err.println("***FATAL: Can't read " + filename + "\n" + e.getMessage()); - } - - - c1 = 1; - c2 = 0; - isizea = n; - isizeb = n; - istepa = 1; - istepb = 1; - sw = true; - - ifail = 0; - X03AA x03aa = new X03AA(a , isizea, b, isizeb, n, istepa, istepb, c1, c2, d1, d2, sw, ifail); - x03aa.eval(); - - //update - c1 = x03aa.getC1(); - c2 = x03aa.getC2(); - d1 = x03aa.getD1(); - d2 = x03aa.getD2(); - - System.out.printf("D1 = %.1f D2 = %.1f\n", d1, d2); - } -} diff --git a/simple_examples/X04CBJE.java b/simple_examples/X04CBJE.java deleted file mode 100644 index fa77c3a..0000000 --- a/simple_examples/X04CBJE.java +++ /dev/null @@ -1,53 +0,0 @@ -import com.nag.routines.X04.X04CB; - -/** - * X04CBJ example program text - * @author willa - * @since 27.1.0.0 - */ -public class X04CBJE{ - - /** - * X04CBJ example main program - */ - public static void main(String[] args){ - int nmax = 5, lda = nmax, ifail, indent, ncols; - double[] a; - - a = new double[lda * nmax]; - - String[] clabs = {"Un ", "Deux ", "Trois ", "Quatre ", "Cinq "}; - String[] rlabs = {"Uno ", "Due ", "Tre ", "Quattro", "Cinque "}; - - System.out.println("X04CBJ Example Program Results"); - System.out.println(); - - //generate an array of data - for(int i = 0; i < nmax; i++){ - for(int j = 0; j < lda; j++){ - a[(i * lda) + j] = (double) ((10 * (j + 1)) + i + 1); - } - } - - ncols = 80; - indent = 0; - - //Print 3 by nmax rectangular matrix with default format and integer row and column labels - ifail = 0; - X04CB x04cb = new X04CB("General", " ", 3, nmax, a, lda, " ", "Example 1", "Integer", rlabs, "Integer", - clabs, ncols, indent, ifail); - x04cb.eval(); - System.out.println(); - - //Print nmax by namx upper triangular matrix with user-supplied format and row and column labels - ifail = 0; - x04cb.eval("Upper", "Non-unit", nmax, nmax, a, lda, "F8.2", "Example 2:", "Character", rlabs, "Character", - clabs, ncols, indent, ifail); - System.out.println(); - - //Print 3 by nmax lower triangular matrix in MATLAB format - //Row and column labelling is ignored - ifail = 0; - x04cb.eval("Lower", "Non-unit", 3, nmax, a, lda, "MATLABF8.2", "A", " ", rlabs, " ", clabs, ncols, indent, ifail); - } -} diff --git a/simple_examples/X05ABJE.java b/simple_examples/X05ABJE.java deleted file mode 100644 index acb3804..0000000 --- a/simple_examples/X05ABJE.java +++ /dev/null @@ -1,25 +0,0 @@ -import com.nag.routines.X05.X05AB; - -/** - * X05AB example program text. - */ -public class X05ABJE { - - public static void main(String[] args) { - - int[] itime = new int[7]; - - itime[0] = 1789; - itime[1] = 7; - itime[2] = 14; - itime[3] = 13; - itime[4] = 11; - itime[5] = 48; - itime[6] = 320; - - System.out.println(" X05ABJ Example Program Results"); - System.out.println((new X05AB(itime)).eval()); - - } - -} From 4e8e89f1e226d4b633fcf2d715cbdb880ac90b63 Mon Sep 17 00:00:00 2001 From: Sarah Turner Date: Wed, 20 Jan 2021 16:55:14 +0000 Subject: [PATCH 135/196] Simple Examples Synced --- simple_examples/data/tmptest.d | 22 ++++++++++++++++++++++ 1 file changed, 22 insertions(+) create mode 100644 simple_examples/data/tmptest.d diff --git a/simple_examples/data/tmptest.d b/simple_examples/data/tmptest.d new file mode 100644 index 0000000..0d7c25f --- /dev/null +++ b/simple_examples/data/tmptest.d @@ -0,0 +1,22 @@ +E04TCJ Example Program Data +30 : nres +-1.0000000000000000E+00 -9.3103448275862066E-01 -8.6206896551724133E-01 +-7.9310344827586210E-01 -7.2413793103448276E-01 -6.5517241379310343E-01 +-5.8620689655172420E-01 -5.1724137931034486E-01 -4.4827586206896552E-01 +-3.7931034482758619E-01 -3.1034482758620685E-01 -2.4137931034482762E-01 +-1.7241379310344829E-01 -1.0344827586206895E-01 -3.4482758620689724E-02 + 3.4482758620689724E-02 1.0344827586206895E-01 1.7241379310344818E-01 + 2.4137931034482762E-01 3.1034482758620685E-01 3.7931034482758630E-01 + 4.4827586206896552E-01 5.1724137931034475E-01 5.8620689655172420E-01 + 6.5517241379310343E-01 7.2413793103448265E-01 7.9310344827586210E-01 + 8.6206896551724133E-01 9.3103448275862055E-01 1.0000000000000000E+00 : x +-4.7355262950125371E-01 -5.4938194860076961E-01 -3.9825239170869919E-01 +-3.8856020837234490E-01 -5.5342876546898057E-01 -4.9096203345353551E-01 +-5.3572741683518588E-01 -4.7612745760879621E-01 -5.3500371923553647E-01 + 6.0158102095753345E-01 -5.8735647599146978E-01 -4.4672492128166008E-01 +-2.8302528479868733E-01 -3.0311152621895832E-01 -4.1648482978955480E-02 + 3.7631282343379285E-02 1.6504195889737350E-01 5.1964885199180544E-01 + 5.4702301251386876E-01 -4.4537928919142311E-01 5.9042453784268267E-01 + 6.9016702395652996E-01 6.9143394337665087E-01 7.8263998594593021E-01 + 8.1261679746103432E-01 7.5887968830904762E-01 9.5316846217349571E-01 + 1.1014159319048389E+00 1.0675894279571976E+00 1.1538027971634699E+00 : obs From eb742f013728210e1fa7408679af3d9997b2ba6c Mon Sep 17 00:00:00 2001 From: Sarah Turner Date: Wed, 20 Jan 2021 17:27:57 +0000 Subject: [PATCH 136/196] Simple Examples Synced --- simple_examples/data/tmptest.d | 1 + 1 file changed, 1 insertion(+) diff --git a/simple_examples/data/tmptest.d b/simple_examples/data/tmptest.d index 0d7c25f..6328091 100644 --- a/simple_examples/data/tmptest.d +++ b/simple_examples/data/tmptest.d @@ -1,3 +1,4 @@ +Dummy test file E04TCJ Example Program Data 30 : nres -1.0000000000000000E+00 -9.3103448275862066E-01 -8.6206896551724133E-01 From 98becffb4b00310fec2da9409786c29fb0ca69f4 Mon Sep 17 00:00:00 2001 From: Sarah Turner Date: Wed, 20 Jan 2021 18:19:11 +0000 Subject: [PATCH 137/196] Simple Examples Synced --- simple_examples/data/testdir/testtmp2.d | 7 +++++++ 1 file changed, 7 insertions(+) create mode 100644 simple_examples/data/testdir/testtmp2.d diff --git a/simple_examples/data/testdir/testtmp2.d b/simple_examples/data/testdir/testtmp2.d new file mode 100644 index 0000000..1cc90f5 --- /dev/null +++ b/simple_examples/data/testdir/testtmp2.d @@ -0,0 +1,7 @@ +Dummy test file 2 +S17DGF Example Program Data + 'F' ( 0.3, 0.4) 'U' + 'F' ( 0.2, 0.0) 'U' + 'F' ( 1.1, -6.6) 'U' + 'F' ( 1.1, -6.6) 'S' + 'D' (-1.0, 0.0) 'U' From 5a18d7dff1c3f92cbb16bf8bbd224d712a426e52 Mon Sep 17 00:00:00 2001 From: Caleb Hamilton Date: Wed, 20 Jan 2021 15:09:51 -0600 Subject: [PATCH 138/196] finalized Readme removed "under development" line --- README.md | 2 -- 1 file changed, 2 deletions(-) diff --git a/README.md b/README.md index 8124f07..e6940cf 100644 --- a/README.md +++ b/README.md @@ -1,6 +1,4 @@ > ## Important Information -> This repository is still under development. -> > This repository can viewed as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/) or as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/). # Examples using the NAG Library for Java From 0964f0151bf2171ce6ef7d0d2893d27ee7015486 Mon Sep 17 00:00:00 2001 From: Sarah Turner Date: Thu, 21 Jan 2021 10:55:50 +0000 Subject: [PATCH 139/196] Simple Examples Synced --- simple_examples/data/testdir/testtmp2.d | 7 +++++++ simple_examples/data/tmptest.d | 23 +++++++++++++++++++++++ simple_examples/data/tmptest3.d | 3 +++ simple_examples/data/tmptest3.d~ | 2 ++ 4 files changed, 35 insertions(+) create mode 100644 simple_examples/data/testdir/testtmp2.d create mode 100644 simple_examples/data/tmptest.d create mode 100644 simple_examples/data/tmptest3.d create mode 100644 simple_examples/data/tmptest3.d~ diff --git a/simple_examples/data/testdir/testtmp2.d b/simple_examples/data/testdir/testtmp2.d new file mode 100644 index 0000000..1cc90f5 --- /dev/null +++ b/simple_examples/data/testdir/testtmp2.d @@ -0,0 +1,7 @@ +Dummy test file 2 +S17DGF Example Program Data + 'F' ( 0.3, 0.4) 'U' + 'F' ( 0.2, 0.0) 'U' + 'F' ( 1.1, -6.6) 'U' + 'F' ( 1.1, -6.6) 'S' + 'D' (-1.0, 0.0) 'U' diff --git a/simple_examples/data/tmptest.d b/simple_examples/data/tmptest.d new file mode 100644 index 0000000..6328091 --- /dev/null +++ b/simple_examples/data/tmptest.d @@ -0,0 +1,23 @@ +Dummy test file +E04TCJ Example Program Data +30 : nres +-1.0000000000000000E+00 -9.3103448275862066E-01 -8.6206896551724133E-01 +-7.9310344827586210E-01 -7.2413793103448276E-01 -6.5517241379310343E-01 +-5.8620689655172420E-01 -5.1724137931034486E-01 -4.4827586206896552E-01 +-3.7931034482758619E-01 -3.1034482758620685E-01 -2.4137931034482762E-01 +-1.7241379310344829E-01 -1.0344827586206895E-01 -3.4482758620689724E-02 + 3.4482758620689724E-02 1.0344827586206895E-01 1.7241379310344818E-01 + 2.4137931034482762E-01 3.1034482758620685E-01 3.7931034482758630E-01 + 4.4827586206896552E-01 5.1724137931034475E-01 5.8620689655172420E-01 + 6.5517241379310343E-01 7.2413793103448265E-01 7.9310344827586210E-01 + 8.6206896551724133E-01 9.3103448275862055E-01 1.0000000000000000E+00 : x +-4.7355262950125371E-01 -5.4938194860076961E-01 -3.9825239170869919E-01 +-3.8856020837234490E-01 -5.5342876546898057E-01 -4.9096203345353551E-01 +-5.3572741683518588E-01 -4.7612745760879621E-01 -5.3500371923553647E-01 + 6.0158102095753345E-01 -5.8735647599146978E-01 -4.4672492128166008E-01 +-2.8302528479868733E-01 -3.0311152621895832E-01 -4.1648482978955480E-02 + 3.7631282343379285E-02 1.6504195889737350E-01 5.1964885199180544E-01 + 5.4702301251386876E-01 -4.4537928919142311E-01 5.9042453784268267E-01 + 6.9016702395652996E-01 6.9143394337665087E-01 7.8263998594593021E-01 + 8.1261679746103432E-01 7.5887968830904762E-01 9.5316846217349571E-01 + 1.1014159319048389E+00 1.0675894279571976E+00 1.1538027971634699E+00 : obs diff --git a/simple_examples/data/tmptest3.d b/simple_examples/data/tmptest3.d new file mode 100644 index 0000000..cc85772 --- /dev/null +++ b/simple_examples/data/tmptest3.d @@ -0,0 +1,3 @@ +3rd dummy test file +C02AJJ Example Program Data + 1.0 3.0 -10.0 :A B C diff --git a/simple_examples/data/tmptest3.d~ b/simple_examples/data/tmptest3.d~ new file mode 100644 index 0000000..c24b295 --- /dev/null +++ b/simple_examples/data/tmptest3.d~ @@ -0,0 +1,2 @@ +C02AJJ Example Program Data + 1.0 3.0 -10.0 :A B C From df1c10edfcd7b489f59bd5897b4784da79117a05 Mon Sep 17 00:00:00 2001 From: Sarah Turner Date: Thu, 21 Jan 2021 11:05:44 +0000 Subject: [PATCH 140/196] Simple Examples Synced --- simple_examples/data/testdir/testtmp2.d | 7 ------- simple_examples/data/tmptest.d | 23 ----------------------- simple_examples/data/tmptest3.d | 3 --- simple_examples/data/tmptest3.d~ | 2 -- 4 files changed, 35 deletions(-) delete mode 100644 simple_examples/data/testdir/testtmp2.d delete mode 100644 simple_examples/data/tmptest.d delete mode 100644 simple_examples/data/tmptest3.d delete mode 100644 simple_examples/data/tmptest3.d~ diff --git a/simple_examples/data/testdir/testtmp2.d b/simple_examples/data/testdir/testtmp2.d deleted file mode 100644 index 1cc90f5..0000000 --- a/simple_examples/data/testdir/testtmp2.d +++ /dev/null @@ -1,7 +0,0 @@ -Dummy test file 2 -S17DGF Example Program Data - 'F' ( 0.3, 0.4) 'U' - 'F' ( 0.2, 0.0) 'U' - 'F' ( 1.1, -6.6) 'U' - 'F' ( 1.1, -6.6) 'S' - 'D' (-1.0, 0.0) 'U' diff --git a/simple_examples/data/tmptest.d b/simple_examples/data/tmptest.d deleted file mode 100644 index 6328091..0000000 --- a/simple_examples/data/tmptest.d +++ /dev/null @@ -1,23 +0,0 @@ -Dummy test file -E04TCJ Example Program Data -30 : nres --1.0000000000000000E+00 -9.3103448275862066E-01 -8.6206896551724133E-01 --7.9310344827586210E-01 -7.2413793103448276E-01 -6.5517241379310343E-01 --5.8620689655172420E-01 -5.1724137931034486E-01 -4.4827586206896552E-01 --3.7931034482758619E-01 -3.1034482758620685E-01 -2.4137931034482762E-01 --1.7241379310344829E-01 -1.0344827586206895E-01 -3.4482758620689724E-02 - 3.4482758620689724E-02 1.0344827586206895E-01 1.7241379310344818E-01 - 2.4137931034482762E-01 3.1034482758620685E-01 3.7931034482758630E-01 - 4.4827586206896552E-01 5.1724137931034475E-01 5.8620689655172420E-01 - 6.5517241379310343E-01 7.2413793103448265E-01 7.9310344827586210E-01 - 8.6206896551724133E-01 9.3103448275862055E-01 1.0000000000000000E+00 : x --4.7355262950125371E-01 -5.4938194860076961E-01 -3.9825239170869919E-01 --3.8856020837234490E-01 -5.5342876546898057E-01 -4.9096203345353551E-01 --5.3572741683518588E-01 -4.7612745760879621E-01 -5.3500371923553647E-01 - 6.0158102095753345E-01 -5.8735647599146978E-01 -4.4672492128166008E-01 --2.8302528479868733E-01 -3.0311152621895832E-01 -4.1648482978955480E-02 - 3.7631282343379285E-02 1.6504195889737350E-01 5.1964885199180544E-01 - 5.4702301251386876E-01 -4.4537928919142311E-01 5.9042453784268267E-01 - 6.9016702395652996E-01 6.9143394337665087E-01 7.8263998594593021E-01 - 8.1261679746103432E-01 7.5887968830904762E-01 9.5316846217349571E-01 - 1.1014159319048389E+00 1.0675894279571976E+00 1.1538027971634699E+00 : obs diff --git a/simple_examples/data/tmptest3.d b/simple_examples/data/tmptest3.d deleted file mode 100644 index cc85772..0000000 --- a/simple_examples/data/tmptest3.d +++ /dev/null @@ -1,3 +0,0 @@ -3rd dummy test file -C02AJJ Example Program Data - 1.0 3.0 -10.0 :A B C diff --git a/simple_examples/data/tmptest3.d~ b/simple_examples/data/tmptest3.d~ deleted file mode 100644 index c24b295..0000000 --- a/simple_examples/data/tmptest3.d~ +++ /dev/null @@ -1,2 +0,0 @@ -C02AJJ Example Program Data - 1.0 3.0 -10.0 :A B C From 5ccc79acbf920613b11148ac185edb095534f9a4 Mon Sep 17 00:00:00 2001 From: Sarah Turner Date: Thu, 21 Jan 2021 11:31:46 +0000 Subject: [PATCH 141/196] Simple Examples Synced --- simple_examples/data/testdir/testtmp2.d | 7 +++++++ simple_examples/data/tmptest.d | 23 +++++++++++++++++++++++ 2 files changed, 30 insertions(+) create mode 100644 simple_examples/data/testdir/testtmp2.d create mode 100644 simple_examples/data/tmptest.d diff --git a/simple_examples/data/testdir/testtmp2.d b/simple_examples/data/testdir/testtmp2.d new file mode 100644 index 0000000..1cc90f5 --- /dev/null +++ b/simple_examples/data/testdir/testtmp2.d @@ -0,0 +1,7 @@ +Dummy test file 2 +S17DGF Example Program Data + 'F' ( 0.3, 0.4) 'U' + 'F' ( 0.2, 0.0) 'U' + 'F' ( 1.1, -6.6) 'U' + 'F' ( 1.1, -6.6) 'S' + 'D' (-1.0, 0.0) 'U' diff --git a/simple_examples/data/tmptest.d b/simple_examples/data/tmptest.d new file mode 100644 index 0000000..6328091 --- /dev/null +++ b/simple_examples/data/tmptest.d @@ -0,0 +1,23 @@ +Dummy test file +E04TCJ Example Program Data +30 : nres +-1.0000000000000000E+00 -9.3103448275862066E-01 -8.6206896551724133E-01 +-7.9310344827586210E-01 -7.2413793103448276E-01 -6.5517241379310343E-01 +-5.8620689655172420E-01 -5.1724137931034486E-01 -4.4827586206896552E-01 +-3.7931034482758619E-01 -3.1034482758620685E-01 -2.4137931034482762E-01 +-1.7241379310344829E-01 -1.0344827586206895E-01 -3.4482758620689724E-02 + 3.4482758620689724E-02 1.0344827586206895E-01 1.7241379310344818E-01 + 2.4137931034482762E-01 3.1034482758620685E-01 3.7931034482758630E-01 + 4.4827586206896552E-01 5.1724137931034475E-01 5.8620689655172420E-01 + 6.5517241379310343E-01 7.2413793103448265E-01 7.9310344827586210E-01 + 8.6206896551724133E-01 9.3103448275862055E-01 1.0000000000000000E+00 : x +-4.7355262950125371E-01 -5.4938194860076961E-01 -3.9825239170869919E-01 +-3.8856020837234490E-01 -5.5342876546898057E-01 -4.9096203345353551E-01 +-5.3572741683518588E-01 -4.7612745760879621E-01 -5.3500371923553647E-01 + 6.0158102095753345E-01 -5.8735647599146978E-01 -4.4672492128166008E-01 +-2.8302528479868733E-01 -3.0311152621895832E-01 -4.1648482978955480E-02 + 3.7631282343379285E-02 1.6504195889737350E-01 5.1964885199180544E-01 + 5.4702301251386876E-01 -4.4537928919142311E-01 5.9042453784268267E-01 + 6.9016702395652996E-01 6.9143394337665087E-01 7.8263998594593021E-01 + 8.1261679746103432E-01 7.5887968830904762E-01 9.5316846217349571E-01 + 1.1014159319048389E+00 1.0675894279571976E+00 1.1538027971634699E+00 : obs From 487baffaa64c83878f7c8ec3aef258fb7fe51b45 Mon Sep 17 00:00:00 2001 From: Sarah Turner Date: Thu, 21 Jan 2021 11:34:52 +0000 Subject: [PATCH 142/196] Simple Examples Synced --- simple_examples/data/tmptest4.d | 23 +++++++++++++++++++++++ simple_examples/data/tmptest4.d~ | 23 +++++++++++++++++++++++ 2 files changed, 46 insertions(+) create mode 100644 simple_examples/data/tmptest4.d create mode 100644 simple_examples/data/tmptest4.d~ diff --git a/simple_examples/data/tmptest4.d b/simple_examples/data/tmptest4.d new file mode 100644 index 0000000..bb12d36 --- /dev/null +++ b/simple_examples/data/tmptest4.d @@ -0,0 +1,23 @@ +Dummy test file 4 +E04TCJ Example Program Data +30 : nres +-1.0000000000000000E+00 -9.3103448275862066E-01 -8.6206896551724133E-01 +-7.9310344827586210E-01 -7.2413793103448276E-01 -6.5517241379310343E-01 +-5.8620689655172420E-01 -5.1724137931034486E-01 -4.4827586206896552E-01 +-3.7931034482758619E-01 -3.1034482758620685E-01 -2.4137931034482762E-01 +-1.7241379310344829E-01 -1.0344827586206895E-01 -3.4482758620689724E-02 + 3.4482758620689724E-02 1.0344827586206895E-01 1.7241379310344818E-01 + 2.4137931034482762E-01 3.1034482758620685E-01 3.7931034482758630E-01 + 4.4827586206896552E-01 5.1724137931034475E-01 5.8620689655172420E-01 + 6.5517241379310343E-01 7.2413793103448265E-01 7.9310344827586210E-01 + 8.6206896551724133E-01 9.3103448275862055E-01 1.0000000000000000E+00 : x +-4.7355262950125371E-01 -5.4938194860076961E-01 -3.9825239170869919E-01 +-3.8856020837234490E-01 -5.5342876546898057E-01 -4.9096203345353551E-01 +-5.3572741683518588E-01 -4.7612745760879621E-01 -5.3500371923553647E-01 + 6.0158102095753345E-01 -5.8735647599146978E-01 -4.4672492128166008E-01 +-2.8302528479868733E-01 -3.0311152621895832E-01 -4.1648482978955480E-02 + 3.7631282343379285E-02 1.6504195889737350E-01 5.1964885199180544E-01 + 5.4702301251386876E-01 -4.4537928919142311E-01 5.9042453784268267E-01 + 6.9016702395652996E-01 6.9143394337665087E-01 7.8263998594593021E-01 + 8.1261679746103432E-01 7.5887968830904762E-01 9.5316846217349571E-01 + 1.1014159319048389E+00 1.0675894279571976E+00 1.1538027971634699E+00 : obs diff --git a/simple_examples/data/tmptest4.d~ b/simple_examples/data/tmptest4.d~ new file mode 100644 index 0000000..6328091 --- /dev/null +++ b/simple_examples/data/tmptest4.d~ @@ -0,0 +1,23 @@ +Dummy test file +E04TCJ Example Program Data +30 : nres +-1.0000000000000000E+00 -9.3103448275862066E-01 -8.6206896551724133E-01 +-7.9310344827586210E-01 -7.2413793103448276E-01 -6.5517241379310343E-01 +-5.8620689655172420E-01 -5.1724137931034486E-01 -4.4827586206896552E-01 +-3.7931034482758619E-01 -3.1034482758620685E-01 -2.4137931034482762E-01 +-1.7241379310344829E-01 -1.0344827586206895E-01 -3.4482758620689724E-02 + 3.4482758620689724E-02 1.0344827586206895E-01 1.7241379310344818E-01 + 2.4137931034482762E-01 3.1034482758620685E-01 3.7931034482758630E-01 + 4.4827586206896552E-01 5.1724137931034475E-01 5.8620689655172420E-01 + 6.5517241379310343E-01 7.2413793103448265E-01 7.9310344827586210E-01 + 8.6206896551724133E-01 9.3103448275862055E-01 1.0000000000000000E+00 : x +-4.7355262950125371E-01 -5.4938194860076961E-01 -3.9825239170869919E-01 +-3.8856020837234490E-01 -5.5342876546898057E-01 -4.9096203345353551E-01 +-5.3572741683518588E-01 -4.7612745760879621E-01 -5.3500371923553647E-01 + 6.0158102095753345E-01 -5.8735647599146978E-01 -4.4672492128166008E-01 +-2.8302528479868733E-01 -3.0311152621895832E-01 -4.1648482978955480E-02 + 3.7631282343379285E-02 1.6504195889737350E-01 5.1964885199180544E-01 + 5.4702301251386876E-01 -4.4537928919142311E-01 5.9042453784268267E-01 + 6.9016702395652996E-01 6.9143394337665087E-01 7.8263998594593021E-01 + 8.1261679746103432E-01 7.5887968830904762E-01 9.5316846217349571E-01 + 1.1014159319048389E+00 1.0675894279571976E+00 1.1538027971634699E+00 : obs From c033e3beae97ed3b5634f98e87bedff30df264d9 Mon Sep 17 00:00:00 2001 From: Sarah Turner Date: Thu, 21 Jan 2021 11:35:28 +0000 Subject: [PATCH 143/196] Simple Examples Synced --- simple_examples/data/tmptest4.d~ | 23 ----------------------- 1 file changed, 23 deletions(-) delete mode 100644 simple_examples/data/tmptest4.d~ diff --git a/simple_examples/data/tmptest4.d~ b/simple_examples/data/tmptest4.d~ deleted file mode 100644 index 6328091..0000000 --- a/simple_examples/data/tmptest4.d~ +++ /dev/null @@ -1,23 +0,0 @@ -Dummy test file -E04TCJ Example Program Data -30 : nres --1.0000000000000000E+00 -9.3103448275862066E-01 -8.6206896551724133E-01 --7.9310344827586210E-01 -7.2413793103448276E-01 -6.5517241379310343E-01 --5.8620689655172420E-01 -5.1724137931034486E-01 -4.4827586206896552E-01 --3.7931034482758619E-01 -3.1034482758620685E-01 -2.4137931034482762E-01 --1.7241379310344829E-01 -1.0344827586206895E-01 -3.4482758620689724E-02 - 3.4482758620689724E-02 1.0344827586206895E-01 1.7241379310344818E-01 - 2.4137931034482762E-01 3.1034482758620685E-01 3.7931034482758630E-01 - 4.4827586206896552E-01 5.1724137931034475E-01 5.8620689655172420E-01 - 6.5517241379310343E-01 7.2413793103448265E-01 7.9310344827586210E-01 - 8.6206896551724133E-01 9.3103448275862055E-01 1.0000000000000000E+00 : x --4.7355262950125371E-01 -5.4938194860076961E-01 -3.9825239170869919E-01 --3.8856020837234490E-01 -5.5342876546898057E-01 -4.9096203345353551E-01 --5.3572741683518588E-01 -4.7612745760879621E-01 -5.3500371923553647E-01 - 6.0158102095753345E-01 -5.8735647599146978E-01 -4.4672492128166008E-01 --2.8302528479868733E-01 -3.0311152621895832E-01 -4.1648482978955480E-02 - 3.7631282343379285E-02 1.6504195889737350E-01 5.1964885199180544E-01 - 5.4702301251386876E-01 -4.4537928919142311E-01 5.9042453784268267E-01 - 6.9016702395652996E-01 6.9143394337665087E-01 7.8263998594593021E-01 - 8.1261679746103432E-01 7.5887968830904762E-01 9.5316846217349571E-01 - 1.1014159319048389E+00 1.0675894279571976E+00 1.1538027971634699E+00 : obs From 27af57d314a7c66833b06ec04d5bda648b49fd04 Mon Sep 17 00:00:00 2001 From: Sarah Turner Date: Thu, 21 Jan 2021 11:53:57 +0000 Subject: [PATCH 144/196] Simple Examples Synced --- simple_examples/data/testdir/testtmp2.d | 7 ------- simple_examples/data/tmptest.d | 23 ----------------------- simple_examples/data/tmptest4.d | 23 ----------------------- 3 files changed, 53 deletions(-) delete mode 100644 simple_examples/data/testdir/testtmp2.d delete mode 100644 simple_examples/data/tmptest.d delete mode 100644 simple_examples/data/tmptest4.d diff --git a/simple_examples/data/testdir/testtmp2.d b/simple_examples/data/testdir/testtmp2.d deleted file mode 100644 index 1cc90f5..0000000 --- a/simple_examples/data/testdir/testtmp2.d +++ /dev/null @@ -1,7 +0,0 @@ -Dummy test file 2 -S17DGF Example Program Data - 'F' ( 0.3, 0.4) 'U' - 'F' ( 0.2, 0.0) 'U' - 'F' ( 1.1, -6.6) 'U' - 'F' ( 1.1, -6.6) 'S' - 'D' (-1.0, 0.0) 'U' diff --git a/simple_examples/data/tmptest.d b/simple_examples/data/tmptest.d deleted file mode 100644 index 6328091..0000000 --- a/simple_examples/data/tmptest.d +++ /dev/null @@ -1,23 +0,0 @@ -Dummy test file -E04TCJ Example Program Data -30 : nres --1.0000000000000000E+00 -9.3103448275862066E-01 -8.6206896551724133E-01 --7.9310344827586210E-01 -7.2413793103448276E-01 -6.5517241379310343E-01 --5.8620689655172420E-01 -5.1724137931034486E-01 -4.4827586206896552E-01 --3.7931034482758619E-01 -3.1034482758620685E-01 -2.4137931034482762E-01 --1.7241379310344829E-01 -1.0344827586206895E-01 -3.4482758620689724E-02 - 3.4482758620689724E-02 1.0344827586206895E-01 1.7241379310344818E-01 - 2.4137931034482762E-01 3.1034482758620685E-01 3.7931034482758630E-01 - 4.4827586206896552E-01 5.1724137931034475E-01 5.8620689655172420E-01 - 6.5517241379310343E-01 7.2413793103448265E-01 7.9310344827586210E-01 - 8.6206896551724133E-01 9.3103448275862055E-01 1.0000000000000000E+00 : x --4.7355262950125371E-01 -5.4938194860076961E-01 -3.9825239170869919E-01 --3.8856020837234490E-01 -5.5342876546898057E-01 -4.9096203345353551E-01 --5.3572741683518588E-01 -4.7612745760879621E-01 -5.3500371923553647E-01 - 6.0158102095753345E-01 -5.8735647599146978E-01 -4.4672492128166008E-01 --2.8302528479868733E-01 -3.0311152621895832E-01 -4.1648482978955480E-02 - 3.7631282343379285E-02 1.6504195889737350E-01 5.1964885199180544E-01 - 5.4702301251386876E-01 -4.4537928919142311E-01 5.9042453784268267E-01 - 6.9016702395652996E-01 6.9143394337665087E-01 7.8263998594593021E-01 - 8.1261679746103432E-01 7.5887968830904762E-01 9.5316846217349571E-01 - 1.1014159319048389E+00 1.0675894279571976E+00 1.1538027971634699E+00 : obs diff --git a/simple_examples/data/tmptest4.d b/simple_examples/data/tmptest4.d deleted file mode 100644 index bb12d36..0000000 --- a/simple_examples/data/tmptest4.d +++ /dev/null @@ -1,23 +0,0 @@ -Dummy test file 4 -E04TCJ Example Program Data -30 : nres --1.0000000000000000E+00 -9.3103448275862066E-01 -8.6206896551724133E-01 --7.9310344827586210E-01 -7.2413793103448276E-01 -6.5517241379310343E-01 --5.8620689655172420E-01 -5.1724137931034486E-01 -4.4827586206896552E-01 --3.7931034482758619E-01 -3.1034482758620685E-01 -2.4137931034482762E-01 --1.7241379310344829E-01 -1.0344827586206895E-01 -3.4482758620689724E-02 - 3.4482758620689724E-02 1.0344827586206895E-01 1.7241379310344818E-01 - 2.4137931034482762E-01 3.1034482758620685E-01 3.7931034482758630E-01 - 4.4827586206896552E-01 5.1724137931034475E-01 5.8620689655172420E-01 - 6.5517241379310343E-01 7.2413793103448265E-01 7.9310344827586210E-01 - 8.6206896551724133E-01 9.3103448275862055E-01 1.0000000000000000E+00 : x --4.7355262950125371E-01 -5.4938194860076961E-01 -3.9825239170869919E-01 --3.8856020837234490E-01 -5.5342876546898057E-01 -4.9096203345353551E-01 --5.3572741683518588E-01 -4.7612745760879621E-01 -5.3500371923553647E-01 - 6.0158102095753345E-01 -5.8735647599146978E-01 -4.4672492128166008E-01 --2.8302528479868733E-01 -3.0311152621895832E-01 -4.1648482978955480E-02 - 3.7631282343379285E-02 1.6504195889737350E-01 5.1964885199180544E-01 - 5.4702301251386876E-01 -4.4537928919142311E-01 5.9042453784268267E-01 - 6.9016702395652996E-01 6.9143394337665087E-01 7.8263998594593021E-01 - 8.1261679746103432E-01 7.5887968830904762E-01 9.5316846217349571E-01 - 1.1014159319048389E+00 1.0675894279571976E+00 1.1538027971634699E+00 : obs From 7200b370c8415894f64afb70bd5e9481a0bc0b1a Mon Sep 17 00:00:00 2001 From: Sarah Turner Date: Thu, 21 Jan 2021 12:05:12 +0000 Subject: [PATCH 145/196] Simple Examples Synced --- simple_examples/source/{int64 => int64_unsupported}/A00AAJE.java | 0 simple_examples/source/{int64 => int64_unsupported}/A00ADJE.java | 0 simple_examples/source/{int64 => int64_unsupported}/C05AYJE.java | 0 simple_examples/source/{int64 => int64_unsupported}/C05AZJE.java | 0 simple_examples/source/{int64 => int64_unsupported}/C05MBJE.java | 0 simple_examples/source/{int64 => int64_unsupported}/C05QBJE.java | 0 simple_examples/source/{int64 => int64_unsupported}/D01BDJE.java | 0 simple_examples/source/{int64 => int64_unsupported}/D02NEJE.java | 0 simple_examples/source/{int64 => int64_unsupported}/DTFSMJE.java | 0 simple_examples/source/{int64 => int64_unsupported}/E01DAJE.java | 0 simple_examples/source/{int64 => int64_unsupported}/E04FCJE.java | 0 simple_examples/source/{int64 => int64_unsupported}/E04MTJE.java | 0 simple_examples/source/{int64 => int64_unsupported}/E04NFJE.java | 0 simple_examples/source/{int64 => int64_unsupported}/E04UCJE.java | 0 simple_examples/source/{int64 => int64_unsupported}/F02EKJE.java | 0 15 files changed, 0 insertions(+), 0 deletions(-) rename simple_examples/source/{int64 => int64_unsupported}/A00AAJE.java (100%) rename simple_examples/source/{int64 => int64_unsupported}/A00ADJE.java (100%) rename simple_examples/source/{int64 => int64_unsupported}/C05AYJE.java (100%) rename simple_examples/source/{int64 => int64_unsupported}/C05AZJE.java (100%) rename simple_examples/source/{int64 => int64_unsupported}/C05MBJE.java (100%) rename simple_examples/source/{int64 => int64_unsupported}/C05QBJE.java (100%) rename simple_examples/source/{int64 => int64_unsupported}/D01BDJE.java (100%) rename simple_examples/source/{int64 => int64_unsupported}/D02NEJE.java (100%) rename simple_examples/source/{int64 => int64_unsupported}/DTFSMJE.java (100%) rename simple_examples/source/{int64 => int64_unsupported}/E01DAJE.java (100%) rename simple_examples/source/{int64 => int64_unsupported}/E04FCJE.java (100%) rename simple_examples/source/{int64 => int64_unsupported}/E04MTJE.java (100%) rename simple_examples/source/{int64 => int64_unsupported}/E04NFJE.java (100%) rename simple_examples/source/{int64 => int64_unsupported}/E04UCJE.java (100%) rename simple_examples/source/{int64 => int64_unsupported}/F02EKJE.java (100%) diff --git a/simple_examples/source/int64/A00AAJE.java b/simple_examples/source/int64_unsupported/A00AAJE.java similarity index 100% rename from simple_examples/source/int64/A00AAJE.java rename to simple_examples/source/int64_unsupported/A00AAJE.java diff --git a/simple_examples/source/int64/A00ADJE.java b/simple_examples/source/int64_unsupported/A00ADJE.java similarity index 100% rename from simple_examples/source/int64/A00ADJE.java rename to simple_examples/source/int64_unsupported/A00ADJE.java diff --git a/simple_examples/source/int64/C05AYJE.java b/simple_examples/source/int64_unsupported/C05AYJE.java similarity index 100% rename from simple_examples/source/int64/C05AYJE.java rename to simple_examples/source/int64_unsupported/C05AYJE.java diff --git a/simple_examples/source/int64/C05AZJE.java b/simple_examples/source/int64_unsupported/C05AZJE.java similarity index 100% rename from simple_examples/source/int64/C05AZJE.java rename to simple_examples/source/int64_unsupported/C05AZJE.java diff --git a/simple_examples/source/int64/C05MBJE.java b/simple_examples/source/int64_unsupported/C05MBJE.java similarity index 100% rename from simple_examples/source/int64/C05MBJE.java rename to simple_examples/source/int64_unsupported/C05MBJE.java diff --git a/simple_examples/source/int64/C05QBJE.java b/simple_examples/source/int64_unsupported/C05QBJE.java similarity index 100% rename from simple_examples/source/int64/C05QBJE.java rename to simple_examples/source/int64_unsupported/C05QBJE.java diff --git a/simple_examples/source/int64/D01BDJE.java b/simple_examples/source/int64_unsupported/D01BDJE.java similarity index 100% rename from simple_examples/source/int64/D01BDJE.java rename to simple_examples/source/int64_unsupported/D01BDJE.java diff --git a/simple_examples/source/int64/D02NEJE.java b/simple_examples/source/int64_unsupported/D02NEJE.java similarity index 100% rename from simple_examples/source/int64/D02NEJE.java rename to simple_examples/source/int64_unsupported/D02NEJE.java diff --git a/simple_examples/source/int64/DTFSMJE.java b/simple_examples/source/int64_unsupported/DTFSMJE.java similarity index 100% rename from simple_examples/source/int64/DTFSMJE.java rename to simple_examples/source/int64_unsupported/DTFSMJE.java diff --git a/simple_examples/source/int64/E01DAJE.java b/simple_examples/source/int64_unsupported/E01DAJE.java similarity index 100% rename from simple_examples/source/int64/E01DAJE.java rename to simple_examples/source/int64_unsupported/E01DAJE.java diff --git a/simple_examples/source/int64/E04FCJE.java b/simple_examples/source/int64_unsupported/E04FCJE.java similarity index 100% rename from simple_examples/source/int64/E04FCJE.java rename to simple_examples/source/int64_unsupported/E04FCJE.java diff --git a/simple_examples/source/int64/E04MTJE.java b/simple_examples/source/int64_unsupported/E04MTJE.java similarity index 100% rename from simple_examples/source/int64/E04MTJE.java rename to simple_examples/source/int64_unsupported/E04MTJE.java diff --git a/simple_examples/source/int64/E04NFJE.java b/simple_examples/source/int64_unsupported/E04NFJE.java similarity index 100% rename from simple_examples/source/int64/E04NFJE.java rename to simple_examples/source/int64_unsupported/E04NFJE.java diff --git a/simple_examples/source/int64/E04UCJE.java b/simple_examples/source/int64_unsupported/E04UCJE.java similarity index 100% rename from simple_examples/source/int64/E04UCJE.java rename to simple_examples/source/int64_unsupported/E04UCJE.java diff --git a/simple_examples/source/int64/F02EKJE.java b/simple_examples/source/int64_unsupported/F02EKJE.java similarity index 100% rename from simple_examples/source/int64/F02EKJE.java rename to simple_examples/source/int64_unsupported/F02EKJE.java From be0b4b6ea1d34bf3ee8e506b4f2da64b224b685d Mon Sep 17 00:00:00 2001 From: Caleb Hamilton Date: Thu, 21 Jan 2021 12:21:50 -0600 Subject: [PATCH 146/196] Update Readme tidying up Important Information --- QCQP/Readme.md | 9 +++------ 1 file changed, 3 insertions(+), 6 deletions(-) diff --git a/QCQP/Readme.md b/QCQP/Readme.md index 989f982..4d7a5cd 100644 --- a/QCQP/Readme.md +++ b/QCQP/Readme.md @@ -1,15 +1,12 @@ > ## Important Information -> This repository can viewed as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/QCQP) or as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/QCQP). +> This file has a lot of Latex and GitHub currently cannot render it on Markdown files. You can read all the math clearly as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/QCQP/) or access this as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/QCQP) +> +> The source of this example can be found [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/QCQP/portfolioOptimizationQCQP.java). > > See the top directory of this repository for instructions to set up the [NAG Library for Java](https://github.com/numericalalgorithmsgroup/NAGJavaExamples). # Quadratically constrained quadratic programming and its applications in portfolio optimization -# Correct Rendering of this notebook -This file has a lot of Latex and GitHub currently cannot render it on Markdown files. [Here](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/QCQP/) you can read it clearly. - -The source of this example can be found [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/QCQP/portfolioOptimizationQCQP.java). - # Introduction Quadratically constrained quadratic programming (QCQP) is a type of optimization problem in which both the objective function and the constraints involve quadratic functions. A general QCQP problem has the following form From 174b94e5d7b3c24e60d9e357c25630e248b51f6b Mon Sep 17 00:00:00 2001 From: Caleb Hamilton Date: Thu, 21 Jan 2021 12:25:35 -0600 Subject: [PATCH 147/196] Update Readme.md tidying up Important Info section --- nearest_correlation_matrices/Readme.md | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/nearest_correlation_matrices/Readme.md b/nearest_correlation_matrices/Readme.md index 7a1e27d..aadbbb9 100644 --- a/nearest_correlation_matrices/Readme.md +++ b/nearest_correlation_matrices/Readme.md @@ -1,5 +1,7 @@ > ## Important Information -> This repository can viewed as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/nearest_correlation_matrices) or as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/nearest_correlation_matrices). +> This file has a lot of Latex and GitHub currently cannot render it on Markdown files. You can read all the math clearly as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/nearest_correlation_matrices) or access this as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/nearest_correlation_matrices). +> +> The source of this example can be found [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/nearest_correlation_matrices/NcmNag.java). > > See the top directory of this repository for instructions to set up the [NAG Library for Java](https://github.com/numericalalgorithmsgroup/NAGJavaExamples). @@ -7,8 +9,6 @@ This notebook looks at computing *nearest correlation matrices* using the NAG Library for *Java*. -The source of this example can be found [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/nearest_correlation_matrices/NcmNag.java). - ## Correlation Matrices * An $$n$$ by $$n$$ matrix is a correlation matrix if: From e3b5eefaf6b6855bf69975f0ef6125540a77dec3 Mon Sep 17 00:00:00 2001 From: Sarah Turner Date: Fri, 22 Jan 2021 11:18:32 +0000 Subject: [PATCH 148/196] Simple Examples Synced --- simple_examples/data/testfile.d | 6 ++++++ 1 file changed, 6 insertions(+) create mode 100644 simple_examples/data/testfile.d diff --git a/simple_examples/data/testfile.d b/simple_examples/data/testfile.d new file mode 100644 index 0000000..7479ef6 --- /dev/null +++ b/simple_examples/data/testfile.d @@ -0,0 +1,6 @@ +This is my dummy data file. +S14ACJ Example Program Data +0.1 +0.5 +3.6 +8.0 From c9cd217560cc9e9c70c3dd1f5f0a435a0c808062 Mon Sep 17 00:00:00 2001 From: Sarah Turner Date: Fri, 22 Jan 2021 12:21:31 +0000 Subject: [PATCH 149/196] Simple Examples Synced --- simple_examples/data/testfile.d | 6 ------ 1 file changed, 6 deletions(-) delete mode 100644 simple_examples/data/testfile.d diff --git a/simple_examples/data/testfile.d b/simple_examples/data/testfile.d deleted file mode 100644 index 7479ef6..0000000 --- a/simple_examples/data/testfile.d +++ /dev/null @@ -1,6 +0,0 @@ -This is my dummy data file. -S14ACJ Example Program Data -0.1 -0.5 -3.6 -8.0 From 85349709742de39e64baad3eb13bb895a1efef29 Mon Sep 17 00:00:00 2001 From: Christos Date: Mon, 8 Feb 2021 11:25:46 +0200 Subject: [PATCH 150/196] Added Fast Implied Volatilities example --- README.md | 1 + opt_imp_vol/Readme.md | 205 ++++++++++++++++++++++++++++++++++++ opt_imp_vol/graphs.PNG | Bin 0 -> 101498 bytes opt_imp_vol/impVolDemo.java | 157 +++++++++++++++++++++++++++ opt_imp_vol/impvolsurf.png | Bin 0 -> 439262 bytes opt_imp_vol/output.txt | Bin 0 -> 844 bytes 6 files changed, 363 insertions(+) create mode 100644 opt_imp_vol/Readme.md create mode 100644 opt_imp_vol/graphs.PNG create mode 100644 opt_imp_vol/impVolDemo.java create mode 100644 opt_imp_vol/impvolsurf.png create mode 100644 opt_imp_vol/output.txt diff --git a/README.md b/README.md index e6940cf..1d7bda9 100644 --- a/README.md +++ b/README.md @@ -9,6 +9,7 @@ This repository contains examples and demonstrations using the [NAG Library for * [Nearest Correlation Matrices](./nearest_correlation_matrices) * [Quadratically constrained quadratic programming and its applications in portfolio optimization](./QCQP) +* [Fast Implied Volatilities](./opt_imp_vol) ## Examples that ship with the product diff --git a/opt_imp_vol/Readme.md b/opt_imp_vol/Readme.md new file mode 100644 index 0000000..d02eb07 --- /dev/null +++ b/opt_imp_vol/Readme.md @@ -0,0 +1,205 @@ +> ## Important Information +> This file has a lot of Latex and GitHub currently cannot render it on Markdown files. You can read all the math clearly as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/nearest_correlation_matrices) or access this as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/nearest_correlation_matrices). +> +> The source of this example can be found [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/nearest_correlation_matrices/NcmNag.java). +> +> See the top directory of this repository for instructions to set up the [NAG Library for Java](https://github.com/numericalalgorithmsgroup/NAGJavaExamples). + +# Fast Implied Volatilities using the NAG Library + +The Black-Scholes formula for the price of a European call option is + +$$P = S_0\Phi\left(\frac{\ln\left(\frac{S_0}{K}\right)+\left[r+\frac{\sigma^2}{2}\right]T}{\sigma\sqrt{T}}\right) - Ke^{-rT}\Phi\left(\frac{\ln\left(\frac{S_0}{K}\right)+\left[r-\frac{\sigma^2}{2}\right]T}{\sigma\sqrt{T}}\right),$$ + +where $$T$$ is the time to maturity, $$S_0$$ is the spot price of the underlying asset, $$K$$ is the strike price, $$r$$ is +the interest rate and $$\sigma$$ is the volatility. A similar formula applies for European put options. + +An important problem in finance is to compute the implied volatility, $$σ$$, given values for $$T$$, $$K$$, $$S_0$$, +$$r$$ and $$P$$. An explicit formula for $$\sigma$$ is not available. Furthermore, $$\sigma$$ cannot be directly measured from +financial data. Instead, it must be computed using a numerical approximation. Typically, multiple values +of the input data are provided, so the Black-Scholes formula must be solved many times. + +As shown in the figure below, the volatility surface (a three-dimensional plot of how the volatility varies +according to the price and time to maturity) can be highly curved. This makes accurately computing +the implied volatility a difficult problem. + +

    + +
    + +Before introducing our new NAG Library routine, let’s demonstrate how one might naively +compute implied volatilities using a general purpose root finder. + +Let's generate some input data using a random number generator from the NAG Library: + +```java + G05KG g05kg = new G05KG(); + G05SQ g05sq = new G05SQ(); + int ifail = 0; + int lstate = 17; + int[] state = new int[lstate]; + int n = 10000; // This is the number of volatilities we will be computing + + double[] p = new double[n]; + double[] k = new double[n]; + double[] s0 = new double[n]; + double[] t = new double[n]; + double[] r = new double[n]; + + g05kg.eval(1, 0, state, lstate, ifail); + g05sq.eval(n, 3.9, 5.8, state, p, ifail); + g05sq.eval(n, 271.5, 272.0, state, k, ifail); + g05sq.eval(n, 259.0, 271.0, state, s0, ifail); + g05sq.eval(n, 0.016, 0.017, state, t, ifail); + g05sq.eval(n, 0.017, 0.018, state, r, ifail); +``` + +We have chosen the limits of the various uniform distributions above to ensure the input data takes +sensible values. + +There are various standard root finding techniques that we could use to compute implied volatilities, +a common example being bisection. The NAG Library routine ```C05AW```, is a general +purpose root finder based on the secant method. It uses a *callback*, with data passed in via a communication object: + +```java + public static class BlackScholes extends C05AW.Abstract_C05AW_F { + public double eval() { + double[] price = new double[1]; + int ifail = 1; + + S30AA s30aa = new S30AA(); + s30aa.eval("C", 1, 1, new double[]{this.getRUSER()[1]}, this.getRUSER()[2], new double[]{this.getRUSER()[3]}, this.getX(), this.getRUSER()[4], 0.0, price, 1, ifail); + + ifail = s30aa.getIFAIL(); + + if (ifail != 0) + price[0] = 0.0; + + return price[0] - this.getRUSER()[0]; + } + } +``` + + ```C05AW``` operates on scalars, so we need to call the routine +once for every volatility we want to compute. We will time the computation and count how many errors are caught: + +```java + int[] iuser = new int[5]; + double[] ruser = new double[5]; + int errorcount = 0; + double sigma; + + C05AW c05aw = new C05AW(); + BlackScholes blackScholes = new BlackScholes(); + + long tic = System.currentTimeMillis(); + for (i = 0; i < n; i++) { + //System.out.println("Info: i = " + i); + ruser[0] = p[i]; + ruser[1] = k[i]; + ruser[2] = s0[i]; + ruser[3] = t[i]; + ruser[4] = r[i]; + + ifail = 1; + c05aw.eval(0.15, 1.0e-14, 0.0, blackScholes, 500, iuser, ruser, ifail); + + sigma = c05aw.getX(); + ifail = c05aw.getIFAIL(); + + if ((sigma < 0.0) || (ifail != 0)) { + errorcount++; + } + } + long toc = System.currentTimeMillis(); + + System.out.println("Using a general purpose root finder:"); + System.out.printf(" Time taken: %.5f seconds\n", (toc-tic)/1000.0); + System.out.printf(" There were %d failures\n", errorcount); +``` + +Can a bespoke implied volatility routine do better? Our new routine at Mark 27.1 is called ```S30AC```. We call it as follows: + +```s30ac.eval("C", n, p, k, s0, t, r, sigma_arr, 2, ivalid, ifail);``` + +The return argument ```ivalid``` is an array recording any data points for which the volatility could not be computed. The argument ```mode``` allows us to select which algorithm to use – more on that in a moment, but +for now we choose ```mode=2```. This selects the algorithm of Jäckel (2015), a very accurate method based +on third order Householder iterations. + +Here is the call surrounded by some timing code: + +```java + S30AC s30ac = new S30AC(); + double[] sigma_arr = new double[n]; + int[] ivalid = new int[n]; + + tic = System.currentTimeMillis(); + ifail = 0; + s30ac.eval("C", n, p, k, s0, t, r, sigma_arr, 2, ivalid, ifail); + toc = System.currentTimeMillis(); + + System.out.println("S30AC with mode = 2 (Jäckel algorithm):"); + System.out.printf(" Time taken: %.5f seconds\n", (toc-tic)/1000.0); + System.out.printf(" There were %d failures\n", nonZeroLength(ivalid)); +``` + +The new routine is several orders of magnitude faster than the root finder, with no failures reported. We could try +tweaking the convergence parameters and iteration limits in ```C05AW```, and we could certainly +improve the way data is passed through the callback, but we are unlikely to match the +performance of ```S30AC```. + +Recently NAG embarked upon a collaboration with mathematicians at Queen Mary University of +London, who have been developing an alternative algorithm for computing implied volatilities. The new +algorithm (based on Glau et. al. (2018)) uses Chebyshev interpolation to remove branching and give +increased SIMD performance. We access it by setting ```mode=1``` in the call to ```S30AC```: + +```java + tic = System.currentTimeMillis(); + ifail = 0; + s30ac.eval("C", n, p, k, s0, t, r, sigma_arr, 1, ivalid, ifail); + toc = System.currentTimeMillis(); + + System.out.println("S30AC with mode = 1 (Glau algorithm):"); + System.out.printf(" Time taken: %.5f seconds\n", (toc-tic)/1000.0); + System.out.printf(" There were %d failures\n", nonZeroLength(ivalid)); +``` + +Depending on your system, you should find that, for similar accuracy, there is a modest speedup over the Jäckel algorithm. Our numerical experiments have shown that for very small arrays (containing fewer than 100 elements) the Jäckel algorithm actually +outperforms that of Glau et.al., but for larger arrays the converse is true. As vector units continue +to improve in the future, we expect the performance of the highly vectorizable Glau et.al. approach to +improve similarly. + +So far, we have been computing implied volatilities with a relative accuracy as close as possible to +double precision. However, in some applications implied volatilities are only required with a few decimal +places of precision. One advantage of the Glau et.al. algorithm is that it can be run in a lower accuracy +mode, aiming only for seven decimal places of accuracy. This is accessed by setting ```mode=0``` in the call +to ```S30AC```. It roughly doubles the speed of the routine: + +```java + tic = System.currentTimeMillis(); + ifail = 0; + s30ac.eval("C", n, p, k, s0, t, r, sigma_arr, 0, ivalid, ifail); + toc = System.currentTimeMillis(); + + System.out.println("S30AC with mode = 0 (lower accuracy Glau algorithm):"); + System.out.printf(" Time taken: %.5f seconds\n", (toc-tic)/1000.0); + System.out.printf(" There were %d failures\n", nonZeroLength(ivalid)); +``` + +The charts below summarize the results, using timings collected on an Intel Skylake machine. We can see that the Glau et.al. algorithm outperforms the Jäckel algorithm for large arrays but not for small arrays. Note that the general purpose root finder +is omitted here as it is so much slower ```S30AC```. + +
    + +
    + +In summary, NAG’s new state-of-the art algorithm can be run in three different modes, according to +the length of the input arrays and the required accuracy. For more information, and to access the NAG +Library, go to: https://www.nag.co.uk/content/nag-library. + +### References + +P. Jäckel (2015). Let’s be rational. *Wilmott* 2015, 40-53. + +K. Glau, P. Herold, D. B. Madan, C. Pötz (2019). 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b/opt_imp_vol/impVolDemo.java @@ -0,0 +1,157 @@ +import com.nag.routines.G05.G05SQ; +import com.nag.routines.G05.G05KG; +import com.nag.routines.S.S30AA; +import com.nag.routines.S.S30AC; +import com.nag.routines.C05.C05AW; + +import java.util.Map; +import java.util.HashMap; + +public class impVolDemo { + + public static void main(String[] args) { + + int i; + + + + // Let's generate some input data using a random number generator from the NAG + // Library: + G05KG g05kg = new G05KG(); + G05SQ g05sq = new G05SQ(); + int ifail = 0; + int lstate = 17; + int[] state = new int[lstate]; + int n = 10000; // This is the number of volatilities we will be computing + + double[] p = new double[n]; + double[] k = new double[n]; + double[] s0 = new double[n]; + double[] t = new double[n]; + double[] r = new double[n]; + + g05kg.eval(1, 0, state, lstate, ifail); + g05sq.eval(n, 3.9, 5.8, state, p, ifail); + g05sq.eval(n, 271.5, 272.0, state, k, ifail); + g05sq.eval(n, 259.0, 271.0, state, s0, ifail); + g05sq.eval(n, 0.016, 0.017, state, t, ifail); + g05sq.eval(n, 0.017, 0.018, state, r, ifail); + + + int[] iuser = new int[5]; + double[] ruser = new double[5]; + int errorcount = 0; + double sigma; + + C05AW c05aw = new C05AW(); + BlackScholes blackScholes = new BlackScholes(); + + long tic = System.currentTimeMillis(); + for (i = 0; i < n; i++) { + //System.out.println("Info: i = " + i); + ruser[0] = p[i]; + ruser[1] = k[i]; + ruser[2] = s0[i]; + ruser[3] = t[i]; + ruser[4] = r[i]; + + ifail = 1; + c05aw.eval(0.15, 1.0e-14, 0.0, blackScholes, 500, iuser, ruser, ifail); + + sigma = c05aw.getX(); + ifail = c05aw.getIFAIL(); + + if ((sigma < 0.0) || (ifail != 0)) { + errorcount++; + } + } + long toc = System.currentTimeMillis(); + + System.out.println("Using a general purpose root finder:"); + System.out.printf(" Time taken: %.5f seconds\n", (toc-tic)/1000.0); + System.out.printf(" There were %d failures\n", errorcount); + + System.out.println(); + + + S30AC s30ac = new S30AC(); + double[] sigma_arr = new double[n]; + int[] ivalid = new int[n]; + + tic = System.currentTimeMillis(); + ifail = 0; + s30ac.eval("C", n, p, k, s0, t, r, sigma_arr, 2, ivalid, ifail); + toc = System.currentTimeMillis(); + + System.out.println("S30AC with mode = 2 (Jäckel algorithm):"); + System.out.printf(" Time taken: %.5f seconds\n", (toc-tic)/1000.0); + System.out.printf(" There were %d failures\n", nonZeroLength(ivalid)); + + System.out.println(); + + + tic = System.currentTimeMillis(); + ifail = 0; + s30ac.eval("C", n, p, k, s0, t, r, sigma_arr, 1, ivalid, ifail); + toc = System.currentTimeMillis(); + + System.out.println("S30AC with mode = 1 (Glau algorithm):"); + System.out.printf(" Time taken: %.5f seconds\n", (toc-tic)/1000.0); + System.out.printf(" There were %d failures\n", nonZeroLength(ivalid)); + + System.out.println(); + + + tic = System.currentTimeMillis(); + ifail = 0; + s30ac.eval("C", n, p, k, s0, t, r, sigma_arr, 0, ivalid, ifail); + toc = System.currentTimeMillis(); + + System.out.println("S30AC with mode = 0 (lower accuracy Glau algorithm):"); + System.out.printf(" Time taken: %.5f seconds\n", (toc-tic)/1000.0); + System.out.printf(" There were %d failures\n", nonZeroLength(ivalid)); + + System.out.println(); + } + + public static class BlackScholes extends C05AW.Abstract_C05AW_F { + public double eval() { + double[] price = new double[1]; + int ifail = 1; + + S30AA s30aa = new S30AA(); + s30aa.eval("C", 1, 1, new double[]{this.getRUSER()[1]}, this.getRUSER()[2], new double[]{this.getRUSER()[3]}, this.getX(), this.getRUSER()[4], 0.0, price, 1, ifail); + + ifail = s30aa.getIFAIL(); + + if (ifail != 0) + price[0] = 0.0; + + return price[0] - this.getRUSER()[0]; + } + } + + public static int nonZeroLength(int[] a) { + int c = 0; + for (int i = 0; i < a.length; i++) { + if (a[i] != 0) { + c++; + } + } + return c; + } + + public static void printVector(double[] a) { + for (int i = 0; i < a.length; i++) { + 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zo(yct`lV~Cp0tUrIl-0SUl9>sk@0TtgPP5sEBflJ8EB|Z#N;yId%L7v>lt||PrR6q0D z18LXeE^Ba&50lQctJs+{lX+Ctd@|BOOSCgNOCm}bvJxRcgnmE5n=zd#edm%! zVa}yGzB8*J#YQeU9W6K9TuSg9?CKE7MaHG_H?gUd0lp9QFR6}0jRl1mkl@koksx$O zMj~nyhjAf(%z=D8a+osa57PJ=2je-tRo>>=f$LGj(#N$u&;_BVtFHzBl|!sui3#t*Xo9@V3bek1PV%- zeo&vJJ$uuUtiI1-UjO-69BSGsVbR0xdpm1(H85LlNz`4LXTsF94yq-F*7mESZ8C}` zAvZCUPtm#HFyY?vjs1Bv_dmdO5!Pedf7g3q%K zR7^Z3t(yaG31!7}3WL}XP@1eFX+%N1P$dY1S5|>PVSPd2%^Ac0WYzULK^Y?-BUKeq zeHq8yN_d$|cOQcP?dtztY zQDEyh5s@eJ5;mYJg0i3(ya4&~Z>N7y^800r3(OCE!2`-O=c;_R*foN8B=|2uJ$Xx2 z!~gb%p9cQUSQ<67ZnI2Zkt8f{>tP9Uk#7>JiDQeP^(ojwU^)3727I!aRa|Du!PM%kAW&`j-~6nZ<5RT-eE?bK z-&}9@SFl*g=+T4RamF9Kv)RXiWt zOnNd4l0nxc0>4gC#1MoyK8Bc&!+)FzV6O~iPk?a2&tK7b=1uR!fBRIA%vT#_PXPIP zMP7V{U2zK82C}dju=fdIM#N;CSX%mJ(aoa$T=0ykMI|2zS_mRB=n1XN`f~S*oWEkh zl>ya${=(P6Fl zD;L2pumeU1j12bgH!wmt?Kd(#u;286@jfFXQzN7OM@94h@dKe@7lKf@|NaBkI~6ZR?!D)o z^X~0B(_WDhg(_=KgbK(4Wn^3OosQt0Qu+e&43z2sTDiHU>+Pwi0(Xxyr4qaD11uX* zq8>F*b#>HK3*?a-;{vusOYl3x+VR?prx$9Htze8$W~zeclub_H^)%4XO++YMgJRfC zVOf2mK~yzXsdC|6(`63LXGmWLuT90Oq4r(PXFr~NwZHUZe~`zI@BEC=Kj%O4JF%^N fx0$?7Y`%(*^to;Gvf$X34V|g~&Zn>LAAH^cNf&=- literal 0 HcmV?d00001 From 7e727cb521380adbadcf68d2f04d491db321ec5e Mon Sep 17 00:00:00 2001 From: Christos Date: Mon, 8 Feb 2021 11:30:30 +0200 Subject: [PATCH 151/196] Removed int64 folder --- simple_examples/source/int64/A00AAJE.java | 14 - simple_examples/source/int64/A00ADJE.java | 113 ------ simple_examples/source/int64/C05AYJE.java | 45 --- simple_examples/source/int64/C05AZJE.java | 65 ---- simple_examples/source/int64/C05MBJE.java | 104 ------ simple_examples/source/int64/C05QBJE.java | 178 ---------- simple_examples/source/int64/D01BDJE.java | 57 --- simple_examples/source/int64/D02NEJE.java | 393 -------------------- simple_examples/source/int64/DTFSMJE.java | 61 ---- simple_examples/source/int64/E01DAJE.java | 177 --------- simple_examples/source/int64/E04FCJE.java | 415 ---------------------- simple_examples/source/int64/E04MTJE.java | 134 ------- simple_examples/source/int64/E04NFJE.java | 223 ------------ simple_examples/source/int64/E04UCJE.java | 207 ----------- simple_examples/source/int64/F02EKJE.java | 230 ------------ 15 files changed, 2416 deletions(-) delete mode 100644 simple_examples/source/int64/A00AAJE.java delete mode 100644 simple_examples/source/int64/A00ADJE.java delete mode 100644 simple_examples/source/int64/C05AYJE.java delete mode 100644 simple_examples/source/int64/C05AZJE.java delete mode 100644 simple_examples/source/int64/C05MBJE.java delete mode 100644 simple_examples/source/int64/C05QBJE.java delete mode 100644 simple_examples/source/int64/D01BDJE.java delete mode 100644 simple_examples/source/int64/D02NEJE.java delete mode 100644 simple_examples/source/int64/DTFSMJE.java delete mode 100644 simple_examples/source/int64/E01DAJE.java delete mode 100644 simple_examples/source/int64/E04FCJE.java delete mode 100644 simple_examples/source/int64/E04MTJE.java delete mode 100644 simple_examples/source/int64/E04NFJE.java delete mode 100644 simple_examples/source/int64/E04UCJE.java delete mode 100644 simple_examples/source/int64/F02EKJE.java diff --git a/simple_examples/source/int64/A00AAJE.java b/simple_examples/source/int64/A00AAJE.java deleted file mode 100644 index 490c163..0000000 --- a/simple_examples/source/int64/A00AAJE.java +++ /dev/null @@ -1,14 +0,0 @@ -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.A00.A00AA; -import com.nag.routines.Routine; - -public class A00AAJE { - - public static void main (String[] args) throws NAGBadIntegerException { - Routine.init(); - A00AA a00aa = new A00AA(); - System.out.println(" A00AAJ Example Program Results\n"); - a00aa.eval(); - } - -} diff --git a/simple_examples/source/int64/A00ADJE.java b/simple_examples/source/int64/A00ADJE.java deleted file mode 100644 index 8250321..0000000 --- a/simple_examples/source/int64/A00ADJE.java +++ /dev/null @@ -1,113 +0,0 @@ -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.A00.A00AD; -import com.nag.routines.Routine; -import java.util.Arrays; - -public class A00ADJE { - - /* Parameters */ - public static final int MSGLEN = 15; - - /** A00ADJ Example Program */ - public static void main (String[] args) throws NAGBadIntegerException { - /* Local Scalars */ - int i; - long mkmaj, mkmin; - boolean licval; - String fcomp = getBlankString(80), hdware = getBlankString(80), - impl = getBlankString(80), opsys = getBlankString(80), - pcode = getBlankString(80), prec = getBlankString(80), - vend = getBlankString(80); - /* Local Arrays */ - int[] itime = new int[7]; - String[] msg = new String[MSGLEN]; - - // Instantiate arguments - mkmaj = 0; - mkmin = 0; - licval = false; - // Strings must be length expected by Fortran - fcomp = getBlankString(80); - hdware = getBlankString(80); - impl = getBlankString(80); - opsys = getBlankString(80); - pcode = getBlankString(80); - prec = getBlankString(80); - vend = getBlankString(80); - for (i = 0; i < MSGLEN; i++) msg[i] = getBlankString(102); - - Routine.init(); - System.out.println(" A00ADJ Example Program Results\n"); - - A00AD a00ad = new A00AD(); - a00ad.eval(impl, prec, pcode, mkmaj, mkmin, hdware, opsys, fcomp, vend, licval); - impl = a00ad.getIMPL(); - prec = a00ad.getPREC(); - pcode = a00ad.getPCODE(); - mkmaj = a00ad.getMKMAJ(); - mkmin = a00ad.getMKMIN(); - hdware = a00ad.getHDWARE(); - opsys = a00ad.getOPSYS(); - fcomp = a00ad.getFCOMP(); - vend = a00ad.getVEND(); - licval = a00ad.getLICVAL(); - - /* Print implementation details */ - - System.out.println("*** Start of NAG Library implementation details ***"); - System.out.println(); - System.out.println("Implementation title: " + impl.trim()); - System.out.println(" Precision: " + prec.trim()); - System.out.println(" Product code: " + pcode.trim()); - - if (mkmin < 10) { - System.out.printf(" Mark: %2d.%1d\n", mkmaj, mkmin); - } - else { - System.out.printf(" Mark: %2d.%2d\n", mkmaj, mkmin); - } - - if (vend.trim().equals("(self-contained)")) { - System.out.println(" Vendor Library: None"); - } - else { - System.out.println(" Vendor Library: " + vend.trim()); - } - - System.out.println("Applicable to:"); - System.out.println(" hardware: " + hdware.trim()); - System.out.println(" operating system: " + opsys.trim()); - System.out.println(" Fortran compiler: " + fcomp.trim()); - System.out.println("and compatible systems."); - - if (!licval) { - System.out.println(" Licence query: Unsuccessful"); - } - else { - System.out.println(" Licence query: Successful"); - } - - System.out.println(); - System.out.println("*** End of NAG Library implementation details ***"); - - } - - /** - * Returns a new String, filled with spaces to the specified length - * - * @param len the required length of the String - * @returns a String of spaces of the specified length - */ - public static String getBlankString(int len) { - - if (len > 0) { - char[] arr = new char[len]; - Arrays.fill(arr, ' '); - return new String(arr); - } - - return ""; - - } - -} diff --git a/simple_examples/source/int64/C05AYJE.java b/simple_examples/source/int64/C05AYJE.java deleted file mode 100644 index a3bd5f1..0000000 --- a/simple_examples/source/int64/C05AYJE.java +++ /dev/null @@ -1,45 +0,0 @@ -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.C05.C05AY; -import com.nag.routines.Routine; - - -public class C05AYJE { - - public static void main(String[] args) throws NAGBadIntegerException { - - C05AY c05ay = new C05AY(); - OBJFUN f = new OBJFUN(); - double a = 0.0, b = 1.0, eps = 1.0e-5, eta = 0.0, x = 0.0; - long ifail = 0; - long[] iuser = new long[1]; - double[] ruser = new double[1]; - - System.out.println("C05AYJ Example Program Results"); - System.out.println(); - - Routine.init(); - c05ay.eval(a, b, eps, eta, f, x, iuser, ruser, ifail); - x = c05ay.getX(); - - switch ((int)ifail) { - case 0: - System.out.printf("Zero at x = %12.5f\n", x); - break; - case 2: case 3: - System.out.printf("Final point = %12.5f\n", x); - break; - default: - System.out.println("Unexpected ifail = " + ifail); - } - - } - - private static class OBJFUN extends C05AY.Abstract_C05AY_F { - - public double eval() { - return Math.exp(-X) - X; - } - - } - -} diff --git a/simple_examples/source/int64/C05AZJE.java b/simple_examples/source/int64/C05AZJE.java deleted file mode 100644 index bec1b03..0000000 --- a/simple_examples/source/int64/C05AZJE.java +++ /dev/null @@ -1,65 +0,0 @@ -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.C05.C05AZ; -import com.nag.routines.Routine; -import java.util.logging.Level; -import java.util.logging.Logger; - -public class C05AZJE { - - public static void main (String[] args)throws NAGBadIntegerException{ - double tolx = 0.00001, x = 0.0, y = 1.0, fx; - long ir = 0, ind = 1, ifail = -1; - double[] c = new double[17]; - boolean keepOn = true; - - Routine.init(); - - C05AZ c05az = new C05AZ(); - fx = fun(x); - int ite = 0; - - System.out.println(" C05AZJ Example Program Results\n"); - System.out.println(" Iterations\n"); - while (keepOn) { - ++ite; - - c05az.eval(x,y,fx,tolx,ir,c,ind,ifail); - - x = c05az.getX(); - y = c05az.getY(); - tolx = c05az.getTOLX(); - ir = c05az.getIR(); - ind = c05az.getIND(); - ifail = c05az.getIFAIL(); - - if(ind == 0){ - keepOn = false; - } - else{ - fx = fun(x); - System.out.printf(" X = %7.5f FX = %11.4E IND = %1d\n", x, fx, ind); - } - } - - - - switch ((int)ifail) { - case 0: - System.out.println("\n Solution\n"); - System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); - break; - case 4: - case 5: - System.out.printf(" X = %8.5f Y = %8.5f\n",x,y); - break; - default: - System.out.printf("Unexpected error ifail=%d\n",ifail); - } - } - - private static double fun(double x) { - double res = (Math.expm1(-x) + 1) - x; - return res; - } - -} diff --git a/simple_examples/source/int64/C05MBJE.java b/simple_examples/source/int64/C05MBJE.java deleted file mode 100644 index 08dd454..0000000 --- a/simple_examples/source/int64/C05MBJE.java +++ /dev/null @@ -1,104 +0,0 @@ -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.Routine; -import com.nag.routines.C05.C05MB; -import com.nag.routines.F06.DNRM2; -import com.nag.routines.X02.X02AJ; - -/** - * C05MBJ Example Program Text - * @author joed - * @since 27.0 - */ - /* ** There have been at least 200*(n+1) calls to fcn. - ** Consider restarting the calculation from the point held in x. - ** ABNORMAL EXIT from NAG Library routine - ** NAG soft failure - control returned -*/ -public class C05MBJE { - - private static final int n = 4; - - private static class FCN extends C05MB.Abstract_C05MB_FCN { - - public void eval() { - - FVEC[0] = Math.cos(X[2]) - X[0]; - FVEC[1] = Math.sqrt(1.0 - Math.pow(X[3],2)) - X[1]; - FVEC[2] = Math.sin(X[0]) - X[2]; - FVEC[3] = Math.pow(X[1], 2) - X[3]; - - // Set iflag negative to terminate execution for any reason - IFLAG = 0; - - return; - - } - - } - - /** - * C05MBJ Example Main Program - */ - public static void main(String[] args) throws NAGBadIntegerException { - - C05MB c05mb = new C05MB(); - DNRM2 dnrm2 = new DNRM2(); - X02AJ x02aj = new X02AJ(); - FCN fcn = new FCN(); - long cpuser; - double atol, cndtol, fnorm, machpr, rtol; - long astart, ifail, m; - int i; - double[] fvec, x; - double[] ruser = new double[1]; - long[] iuser = new long[1]; - - System.out.println("C05MBJ Example Program Results\n"); - - // Initialise NAG for Java - Routine.init(); - - // Get machine precision from X02AJ - machpr = (new X02AJ()).eval(); - - fvec = new double[n]; - x = new double[n]; - - // The following starting values provide a rough solution - x = new double[]{2.0, 0.5, 2.0, 0.5}; - - m = 2; - atol = Math.sqrt(machpr); - rtol = Math.sqrt(machpr); - cndtol = 0.0; - astart = 0; - cpuser = 0; - - ifail = -1; - c05mb.eval(fcn, n, x, fvec, atol, rtol, m, cndtol, astart, iuser, ruser, - cpuser, ifail); - ifail = c05mb.getIFAIL(); - - if (ifail==0 || ifail==8 || ifail==9) { - if (ifail==0) { - // The NAG name equivalent of dnrm2 is f06ej - fnorm = dnrm2.eval(n, fvec, 1); - System.out.println(); - System.out.printf("Final 2-norm of the residuals = %12.4e\n", fnorm); - System.out.println(); - System.out.println("Final approximate solution"); - } - else { - System.out.println(); - System.out.println("Approximate solution"); - } - System.out.println(); - for (i = 1; i <= n; i++) { - System.out.printf("%12.4f", x[i-1]); - } - System.out.printf("\n"); - } - - } - -} diff --git a/simple_examples/source/int64/C05QBJE.java b/simple_examples/source/int64/C05QBJE.java deleted file mode 100644 index d7a6435..0000000 --- a/simple_examples/source/int64/C05QBJE.java +++ /dev/null @@ -1,178 +0,0 @@ -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.C05.C05QB; -import com.nag.routines.F06.DNRM2; -import com.nag.routines.Routine; -import com.nag.routines.X02.X02AJ; - -/** - * - * @author ludovic - */ -public class C05QBJE { - - /** - * @param args the command line arguments - */ - public static void main(String[] args) throws NAGBadIntegerException { - try { - Routine.init(); - - C05QB c05qb = new C05QB(); - - System.out.println(" C05QBJ Example Program Results"); - - int n = 9, ifail = -1; - - double xtol, fnorm; - - long[] IUSER = new long[1]; - double[] fvec = new double[n]; - double[] x = new double[n]; - double[] RUSER = new double[1]; - - - FCN fcn = new FCN(); - - for (int i = 0; i < n; ++i) { - x[i] = -1.0; - } - - xtol = Math.sqrt((new X02AJ()).eval()); - - c05qb.eval(fcn, n, x, fvec, xtol, IUSER, RUSER, ifail); - - ifail = (int)c05qb.getIFAIL(); - - switch (ifail) { - case (0): - fnorm = (new DNRM2(n, fvec, 1)).eval(); - System.out.println(); - System.out.printf(" Final 2-norm of the residuals = %11.4E\n", fnorm); - System.out.println(); - System.out.println(" Final approximate solution"); - int count = 0; - for (int i = 0; i < n; ++i) { - System.out.printf(" %12.4f", x[i]); - ++count; - if(count == 3){ - System.out.println(); - count = 0; - } - } - break; - case (2): - case (3): - case (4): - System.out.println("Approximate solution"); - count = 0; - for (int i = 0; i < n; ++i) { - System.out.printf(" %12.4f", x[i]); - ++count; - if(count == 3){ - System.out.println(); - count = 0; - } - } - - break; - } - - } catch (NAGBadIntegerException ex) { - System.err.println("Something went wrong!\n" + ex.getMessage()); - } - - - } - - public static class FCN implements C05QB.C05QB_FCN { - - private long N, IFLAG; - private double[] X, FVEC, RUSER; - private long[] IUSER; - - //@Override - public void setN(long N) { - this.N = N; - } - - //@Override - public long getN() { - return N; - } - - //@Override - public void setX(double[] X) { - this.X = X; - } - - //@Override - public double[] getX() { - return X; - } - - //@Override - public void setFVEC(double[] FVEC) { - this.FVEC = FVEC; - } - - //@Override - public double[] getFVEC() { - return FVEC; - } - - //@Override - public void setIUSER(long[] IUSER) { - this.IUSER = IUSER; - } - - //@Override - public long[] getIUSER() { - return IUSER; - } - - //@Override - public void setRUSER(double[] RUSER) { - this.RUSER = RUSER; - } - - //@Override - public double[] getRUSER() { - return RUSER; - } - - //@Override - public void setIFLAG(long IFLAG) { - this.IFLAG = IFLAG; - } - - //@Override - public long getIFLAG() { - return IFLAG; - } - - //@Override - public void eval(long N, double[] X, double[] FVEC, long[] IUSER, double[] RUSER, long IFLAG) { - /* - * fvec(1:n) = (3.0_nag_wp-2.0_nag_wp*x(1:n))*x(1:n) + 1.0_nag_wp - * fvec(2:n) = fvec(2:n) - x(1:(n-1)) - * fvec(1:(n-1)) = fvec(1:(n-1)) - 2.0_nag_wp*x(2:n) - */ - for (int i = 0; i < N; ++i) { - FVEC[i] = (3.0 - 2.0 * X[i]) * X[i] + 1.0; - /*if (i >= 1) { - FVEC[i] = FVEC[i] - X[i - 1]; - } - if (i < N - 1) { - FVEC[i] = FVEC[i] - 2.0 * X[i + 1]; - }*/ - } - for(int i=1;i Math.max(epsabs,epsrel*Math.abs(result))) { - System.out.println("Warning - requested accuracy may not have been achieved"); - } - - } - - - public static class D01BDJE_FUN implements D01BD.D01BD_F { - - private double x; - - public double eval(double x) { - return (x * x * Math.sin(10.0 * Math.PI * x)); - } - - public double getX() { - return x; - } - - public void setX(double d) { - x = d; - } - - - } - -} diff --git a/simple_examples/source/int64/D02NEJE.java b/simple_examples/source/int64/D02NEJE.java deleted file mode 100644 index b32ae64..0000000 --- a/simple_examples/source/int64/D02NEJE.java +++ /dev/null @@ -1,393 +0,0 @@ -import java.util.Arrays; - -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.Routine; -import com.nag.routines.D02.D02MC; -import com.nag.routines.D02.D02MW; -import com.nag.routines.D02.D02NE; -import com.nag.routines.D02.D02NEZ; -import com.nag.routines.D02.D02NP; - - -/** - * @author joed - */ -public class D02NEJE { - - public static final double ALPHA = 0.04; - public static final double BETA = 1.0E4; - public static final double GAMMA = 3.0E7; - public static final int ML = 1; - public static final int MU = 2; - public static final int NEQ1 = 3; - public static final int NEQ2 = 1; - - public static JAC1 jac1 = new JAC1(); - public static JAC2 jac2 = new JAC2(); - public static RES1 res1 = new RES1(); - public static RES2 res2 = new RES2(); - - public static void main(String[] args) throws NAGBadIntegerException { - - // Initialise wrappers - Routine.init(); - - System.out.println(" D02NEJ Example Program Results"); - - ex1(); - ex2(); - - } - - private static void ex1() { - D02MC d02mc = new D02MC(); - D02MW d02mw = new D02MW(); - D02NE d02ne = new D02NE(); - D02NP d02np = new D02NP(); - double h0, hmax, t, tout; - long ifail, itask, maxord, ijac, itol, licom, neq, lcom; - String jceval; // length 8 - double[] atol, com, rtol, y, ydot, ruser; - long[] icom, iuser; - - ruser = new double[1]; - iuser = new long[3]; - - System.out.println(); - System.out.println(" D02NEF Example 1"); - System.out.println(); - - maxord = 5; - - neq = NEQ1; - lcom = 40 + (maxord + 4) * neq + (2 * ML + MU + 1) * neq - + 2 * (neq / (ML + MU + 1) + 1); - licom = 50 + neq; - - atol = new double[(int)neq]; - com = new double[(int)lcom]; - rtol = new double[(int)neq]; - y = new double[(int)neq]; - ydot = new double[(int)neq]; - icom = new long[(int)licom]; - - ijac = 1; - itol = 1; - Arrays.fill(rtol, 1.0E-3); - Arrays.fill(atol, 1.0E-6); - Arrays.fill(ydot, 0.0); - - // String length = 8 - jceval = (ijac == 1) ? "Analytic" : "Numeric "; - - // Set initial values - y[0] = 1.0; - y[1] = 0.0; - y[2] = 0.0; - - // Initialize the problem, specifying that the Jacobian is to be - // evaluated analytically using the provided routine jac. - hmax = 0.0; - h0 = 0.0; - t = 0.0; - tout = 0.02; - ifail = 0; - d02mw.eval( - neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail - ); - ifail = d02mw.getIFAIL(); - - // Specify that the Jacobian is banded. - ifail = 0; - d02np.eval(neq, ML, MU, icom, licom, ifail); - ifail = d02np.getIFAIL(); - - // Use the iuser array to pass the band dimensions through to jac. - // An alternative would be to hard code values for ml and mu in jac. - iuser[0] = ML; - iuser[1] = MU; - iuser[2] = ijac; - - System.out.printf(" t "); - for (int i = 1; i <= neq; i++) { - System.out.printf(" Y(%1d) ", i); - } - System.out.println(); - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - itask = 0; - - // Obtain the solution at 5 equally spaced values of T. - for (int j = 0; j < 5; j++) { - ifail = -1; - d02ne.eval( - neq, t, tout, y, ydot, rtol, atol, itask, res1, jac1, icom, - com, lcom, iuser, ruser, ifail - ); - itask = d02ne.getITASK(); - ifail = d02ne.getIFAIL(); - t = d02ne.getT(); - - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - if (ifail != 0) { - System.out.printf( - " ** D02NEF returned with IFAIL = %5d\n", ifail - ); - break; - } - - tout += 0.02; - d02mc.eval(icom); - - } - - System.out.println(); - System.out.printf( - " The integrator completed task, ITASK = %4d\n", itask - ); - - } - - private static void ex2() { - D02MC d02mc = new D02MC(); - D02MW d02mw = new D02MW(); - D02NE d02ne = new D02NE(); - double h0, hmax, t, tout; - long ifail, ijac, itask, itol, lcom, licom, maxord, neq; - String jceval; // length 8 - double[] atol, com, rtol, y, ydot, ruser; - long[] icom, iuser; - - ruser = new double[1]; - iuser = new long[1]; - - System.out.println(); - System.out.println(" D02NEF Example 2"); - System.out.println(); - - maxord = 5; - neq = NEQ2; - lcom = 40 + (maxord + 4) * neq + neq * neq; - licom = 50 + neq; - - atol = new double[(int)neq]; - com = new double[(int)lcom]; - rtol = new double[(int)neq]; - y = new double[(int)neq]; - ydot = new double[(int)neq]; - icom = new long[(int)licom]; - - ijac = 1; - itol = 1; - rtol[0] = 0.0; - atol[0] = 1.0E-8; - ydot[0] = 0.0; - - // String length = 8 - jceval = (ijac == 1) ? "Analytic" : "Numeric "; - - // Initialize the problem, specifying that the Jacobian is to be - // evaluated analytically using the provided routine jac. - y[0] = 2.0; - hmax = 0.0; - h0 = 0.0; - t = 0.0; - tout = 0.2; - - ifail = 0; - d02mw.eval( - neq, maxord, jceval, hmax, h0, itol, icom, licom, com, lcom, ifail - ); - ifail = d02mw.getIFAIL(); - - // Use the iuser array to pass whether numerical or analytic Jacobian - // is to be used. - iuser[0] = ijac; - - System.out.printf(" t "); - for (int i = 1; i <= neq; i++) { - System.out.printf(" y(%1d) ", i); - } - System.out.println(); - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - itask = 0; - - for (int j = 0; j < 5; j++) { - ifail = -1; - d02ne.eval( - neq, t, tout, y, ydot, rtol, atol, itask, res2, jac2, icom, - com, lcom, iuser, ruser, ifail - ); - itask = d02ne.getITASK(); - ifail = d02ne.getIFAIL(); - t = d02ne.getT(); - - System.out.printf(" %8.4f ", t); - for (int i = 0; i < neq; i++) { - System.out.printf("%12.6f", y[i]); - } - System.out.println(); - - if (ifail != 0) { - System.out.printf( - " ** D02NEF returned with IFAIL = %5d\n", ifail - ); - break; - } - - tout += 0.2; - d02mc.eval(icom); - - } - - System.out.println(); - System.out.printf( - " The integrator completed task, ITASK = %4d\n", itask - ); - - } - - /** - * Converts a 2D, 1-based Fortran index to its corresponding 1D, 0-based - * Java index. - * - * Fortran array definition: - * a(dimX, *) - * - * Conversion: - * a(x, y) --> A[result] - */ - private static long getIdx(long x, long y, long dimX) { - return ((y-1) * dimX) + (x-1); - } - - public static class RES1 extends D02NE.Abstract_D02NE_RES { - - public void eval() { - - this.R[0] = -(ALPHA * this.Y[0]) + (BETA * this.Y[1] * this.Y[2]) - - this.YDOT[0]; - this.R[1] = (ALPHA * this.Y[0]) - (BETA * this.Y[1] * this.Y[2]) - - (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[1]; - this.R[2] = (GAMMA * this.Y[1] * this.Y[1]) - this.YDOT[2]; - - } - - } - - public static class JAC1 extends D02NE.Abstract_D02NE_JAC { - - private double[] myjac1( - long neq, long ml, long mu, double t, double[] y, double[] ydot, - double[] pd, double cj - ) { - - long md, ms, pd_dim1; - - pd_dim1 = (2 * ml) + mu + 1; - - // Main diagonal pdfull(i,i), i=1, neq - md = mu + ml + 1; - pd[(int)getIdx(md, 1, pd_dim1)] = -ALPHA - cj; - pd[(int)getIdx(md, 2, pd_dim1)] = (-BETA * y[2]) - (2.0 * GAMMA * y[1]) - - cj; - pd[(int)getIdx(md, 3, pd_dim1)] = -cj; - - // 1 subdiagonal pdfull(i-1,i), i=2, neq - ms = md + 1; - pd[(int)getIdx(ms, 1, pd_dim1)] = ALPHA; - pd[(int)getIdx(ms, 2, pd_dim1)] = 2.0 * GAMMA * y[1]; - - // First superdiagonal pdfull(i-1,i), i=2, neq - ms = md - 1; - pd[(int)getIdx(ms, 2, pd_dim1)] = BETA * y[2]; - pd[(int)getIdx(ms, 3, pd_dim1)] = -BETA * y[1]; - - // Second superdiagonal pdfull(i-2,i), i=3, neq - ms = md - 2; - pd[(int)getIdx(ms, 3, pd_dim1)] = BETA * y[1]; - - return pd; - - } - - public void eval() { - D02NEZ d02nez = new D02NEZ(); - long ijac, ml, mu; - - ml = this.IUSER[0]; - mu = this.IUSER[1]; - ijac = this.IUSER[2]; - - if (ijac == 1) { - myjac1( - this.NEQ, ml, mu, this.T, this.Y, this.YDOT, this.PD, - this.CJ - ); - } - else { - d02nez.eval( - this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, - this.IUSER, this.RUSER - ); - } - - } - - } - - public static class RES2 extends D02NE.Abstract_D02NE_RES { - - public void eval() { - this.R[0] = 4.0 - Math.pow(this.Y[0], 2.0) - + (this.T * 0.1E0 * Math.exp(this.Y[0])); - } - - } - - public static class JAC2 extends D02NE.Abstract_D02NE_JAC { - - private void myjac2( - long neq, double t, double[] y, double[] ydot, double[] pd, - double cj - ) { - - pd[0] = -(2.0 * y[0]) + (0.1E0 * t * y[0] * Math.exp(y[0])); - - } - - public void eval() { - D02NEZ d02nez = new D02NEZ(); - long ijac; - - ijac = this.IUSER[0]; - - if (ijac == 1) { - myjac2(this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ); - } - else { - d02nez.eval( - this.NEQ, this.T, this.Y, this.YDOT, this.PD, this.CJ, - this.IUSER, this.RUSER - ); - } - - } - - } - -} diff --git a/simple_examples/source/int64/DTFSMJE.java b/simple_examples/source/int64/DTFSMJE.java deleted file mode 100644 index d1feabb..0000000 --- a/simple_examples/source/int64/DTFSMJE.java +++ /dev/null @@ -1,61 +0,0 @@ -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.F01.DTRTTF; -import com.nag.routines.F06.DTFSM; -import com.nag.routines.X04.X04CA; -import com.nag.routines.Routine; - -/** - * Adapted from f06wbfe.f90 - * - * @author joed - * - */ -public class DTFSMJE { - - public static void main(String[] args) throws NAGBadIntegerException { - - double alpha = 4.21; - long ifail = 0, info = 0, m = 6, n = 4; - String side = "L", trans = "N", transr = "N", uplo = "L"; - - // Init NAG Java - DTFSM dtfsm = new DTFSM(); - DTRTTF dtrttf = new DTRTTF(); - X04CA x04ca = new X04CA(); - Routine.init(); - - System.out.println(" DTFSMJ Example Program Results\n"); - - // Set lower triangle of matrix A - double[] a = new double[(int)(m*m)]; - for (int i=0; i=i) ? j+1 : 0; - } - } - - // Set matrix B - double[] b = new double[] { - 3.22, 1.64, 1.87, 5.20, 1.83, -1.10, - 1.37, 1.80, 2.87, -2.99, -2.71, -0.63, - 2.31, 0.38, 2.02, -0.91, -2.81, -0.50, - 0.29, -1.52, -0.80, -3.87, -1.13, 0.81 - }; - - // Convert A to rectangular full packed storage in ar - double[] ar = new double[((int)(m*(m+1)))/2]; - info = 0; - dtrttf.eval(transr, uplo, m, a, m, ar, info); - info = dtrttf.getINFO(); - - // Perform the matrix-matrix operation - dtfsm.eval(transr, side, uplo, trans, "N", m, n, alpha, ar, b, m); - - // Print result - ifail = 0; - x04ca.eval("General", " ", m, n, b, m, "The Solution", ifail); - ifail = x04ca.getIFAIL(); - - } - -} diff --git a/simple_examples/source/int64/E01DAJE.java b/simple_examples/source/int64/E01DAJE.java deleted file mode 100644 index 89a89e4..0000000 --- a/simple_examples/source/int64/E01DAJE.java +++ /dev/null @@ -1,177 +0,0 @@ -/* - * E01DA Example Program - NAG Copyright 2016 - */ - import com.nag.exceptions.NAGBadIntegerException; - import com.nag.routines.E01.E01DA; - import com.nag.routines.E02.E02DF; - import com.nag.routines.Routine; - -public class E01DAJE { - - public static void main (String[] args)throws NAGBadIntegerException { - Routine.init(); - - int mx = 7, my = 6, ifail = -1; - double[] x = new double[mx]; - double[] y = new double[my]; - double[] f = new double[mx*my]; - double[] lamda = new double[mx+4]; - double[] mu = new double[my+4]; - double[] c = new double[mx*my]; - double[] wrk = new double[(mx+6)*(my+6)]; - - int nx = 6, ny = 6, px = 0, py = 0; - double xlo = 1.0, xhi = 2.0; - double ylo = 0.0, yhi = 1.0; - - E01DA e01da = new E01DA(); - - // Input X, Y and function values on X-Y grid - x[0] = 1.00; - x[1] = 1.10; - x[2] = 1.30; - x[3] = 1.50; - x[4] = 1.60; - x[5] = 1.80; - x[6] = 2.00; - - y[0] = 0.00; - y[1] = 0.10; - y[2] = 0.40; - y[3] = 0.70; - y[4] = 0.90; - y[5] = 1.00; - - // On entry: F[my*(q-1)+r-1] must contain f(q,r), for q=1,2,...,mx - // and r=1,2,...,my. - f[0] = 1.00; - f[1] = 1.10; - f[2] = 1.40; - f[3] = 1.70; - f[4] = 1.90; - f[5] = 2.00; - f[6] = 1.21; - f[7] = 1.31; - f[8] = 1.61; - f[9] = 1.91; - f[10] = 2.11; - f[11] = 2.21; - f[12] = 1.69; - f[13] = 1.79; - f[14] = 2.09; - f[15] = 2.39; - f[16] = 2.59; - f[17] = 2.69; - f[18] = 2.25; - f[19] = 2.35; - f[20] = 2.65; - f[21] = 2.95; - f[22] = 3.15; - f[23] = 3.25; - f[24] = 2.56; - f[25] = 2.66; - f[26] = 2.96; - f[27] = 3.26; - f[28] = 3.46; - f[29] = 3.56; - f[30] = 3.24; - f[31] = 3.34; - f[32] = 3.64; - f[33] = 3.94; - f[34] = 4.14; - f[35] = 4.24; - f[36] = 4.00; - f[37] = 4.10; - f[38] = 4.40; - f[39] = 4.70; - f[40] = 4.90; - f[41] = 5.00; - - System.out.printf(" E01DAJ Example Program Results\n\n"); - e01da.eval(mx, my, x, y, f, px, py, lamda, mu, c, wrk, ifail); - - ifail = (int)e01da.getIFAIL(); - switch (ifail) - { - case 0: - System.out.printf(" I Knot LAMDA(I) J Knot MU(j)\n"); - for (int i = 3; i <= Math.max(mx,my); ++i) - { - if (i <= mx) - System.out.printf("%4d %9.4f", i+1, lamda[i]); - else - System.out.printf(" "); - if (i <= my) - System.out.printf("%8d %9.4f\n", i+1, mu[i]); - else - System.out.printf("\n"); - } - System.out.printf("\n The B-Spline coefficients:\n"); - for (int i = 0; i < mx*my; ++i) - { - System.out.printf("%9.4f", c[i]); - if ((i+1)%8 == 0) - System.out.printf("\n"); - } - System.out.printf("\n"); - break; - default: - System.out.printf("\n Error detected by E01DA: %d\n", ifail); - } - - /* Evaluate the spline on a regular rectangular grid at nx*ny points - over the domain [xlo,xhi] x [ylo,yhi]. */ - px = (int)e01da.getPX(); - py = (int)e01da.getPY(); - int liwrk; - int lwrk = Math.min(4*nx+px,4*ny+py); - if (4*nx+px>4*ny+py) - liwrk = ny + py - 4; - else - liwrk = nx + px - 4; - double tx[] = new double[nx]; - double ty[] = new double[ny]; - double ff[] = new double[nx*ny]; - wrk = new double[lwrk]; - long iwrk[] = new long[liwrk]; - - /* Generate nx/ny equispaced x/y co-ordinates */ - double step = (xhi-xlo)/(nx-1); - tx[0] = xlo; - for (int i = 1; i 0) ? datafile.n : 1; - - // This particular example problem is of type QP2 with H stored explicitly, - // so we allocate CVEC(N) and H(LDH,N), and define LDH and LWORK as below - ldh = datafile.n; - - if (datafile.nclin > 0) { - lwork = 2 * datafile.n * datafile.n + 8 * datafile.n + 5 * datafile.nclin; - } - else { - lwork = datafile.n * datafile.n + 8 * datafile.n; - } - - istate = new long[(int)(datafile.n + datafile.nclin)]; - ax = new double[(int)Math.max(1, datafile.nclin)]; - iwork = new long[(int)liwork]; - // h, bl, bu, cvec, x, a: already read from data file - clamda = new double[(int)(datafile.n + datafile.nclin)]; - work = new double[(int)lwork]; - - // Init routine - E04WB e04wb = new E04WB(); - long lcwsav = 1, liwsav = 610, llwsav = 120, lrwsav = 475; - String[] cwsav = new String[(int)lcwsav]; - cwsav[0] = " "; - long[] iwsav = new long[(int)liwsav]; - boolean[] lwsav = new boolean[(int)llwsav]; - double[] rwsav = new double[(int)lrwsav]; - ifail = 0; - e04wb.eval("E04NFA", cwsav, lcwsav, lwsav, llwsav, iwsav, liwsav, rwsav, lrwsav, ifail); - - // Set print level to match E04NFF example output - E04NH e04nh = new E04NH(); - int inform = 0; - e04nh.eval("Print Level = 10", lwsav, iwsav, rwsav, inform); - - // Solve the problem - E04NF e04nf = new E04NF(); - double[] ruser = new double[1]; - long[] iuser = new long[1]; - iter = 0; - obj = Double.NaN; - ifail = 0; - e04nf.eval(datafile.n, datafile.nclin, datafile.a, datafile.lda, datafile.bl, - datafile.bu, datafile.cvec, datafile.h, datafile.ldh, new QPHESS(), istate, - datafile.x, iter, obj, ax, clamda, iwork, liwork, work, lwork, - iuser, ruser, lwsav, iwsav, rwsav, ifail); - - ifail = e04nf.getIFAIL(); - - } catch (Exception ex) { - Logger.getLogger(E04NFJE.class.getName()).log(Level.SEVERE, null, ex); - } - - } - - /** Using E54NFU as a default */ - public static class QPHESS extends E54NFU implements E04NF.E04NF_QPHESS { - - public void eval() { - - super.eval(); - - } - - } - - public static class DataFile { - - public String filename; - public long n, nclin, lda, sda, ldh; - public double[] cvec, a, bl, bu, x, h; - - public DataFile(String filename) { - this.filename = filename; - } - - public void read() throws FileNotFoundException, IOException { - BufferedReader dataIn = new BufferedReader(new FileReader(filename)); - String line = dataIn.readLine(); // skipping header - line = dataIn.readLine().trim(); - String[] lines = line.split(":");//removing comments - String[] dataLine = lines[0].split("\\s+"); - if (dataLine.length != 2) { - System.err.println("Something went wrong when reading the data file - can't read n and nclin!"); - System.exit(1); - } - n = Integer.parseInt(dataLine[0]); - nclin = Integer.parseInt(dataLine[1]); - - lda = Math.max(1, nclin); - - if (nclin > 0) { - sda = n; - } else { - sda = 1; - - } - ldh = n; - - cvec = new double[(int)n]; - a = new double[(int)(lda * sda)]; - bl = new double[(int)(n + nclin)]; - bu = new double[(int)(n + nclin)]; - x = new double[(int)n]; - h = new double[(int)(ldh * n)]; - - //reading cvec - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n) { - System.err.println("Something went wrong when reading the data file - not enought or too many data for cvec"); - System.exit(1); - } - - for (int i = 0; i < n; ++i) { - cvec[i] = Double.parseDouble(dataLine[i].trim().replaceAll("D", "E")); - } - - //reading a - for (int i = 0; i < lda; ++i) { - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != sda) { - System.err.println("Something went wrong when reading the data file - not enought or too many data for a"); - System.exit(1); - } - for (int j = 0; j < sda; ++j) { - a[(int)(i + j * lda)] = Double.parseDouble(dataLine[j].trim().replaceAll("D", "E")); - } - } - - //reading bl - //it's on two lines in the data file, so we need to merge them - line = dataIn.readLine().trim().split(":")[0].trim() + " " + dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n + nclin) { - System.err.println("Something went wrong when reading the data file - not enought or too many data for bl"); - System.exit(1); - } - for (int i = 0; i < n + nclin; ++i) { - bl[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); - } - - //reading bu - //it's on two lines in the data file, so we need to merge them - line = dataIn.readLine().trim().split(":")[0].trim() + " " + dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n + nclin) { - System.err.println("Something went wrong when reading the data file - not enought or too many data for bu"); - System.exit(1); - } - for (int i = 0; i < n + nclin; ++i) { - bu[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); - } - - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n) { - System.err.println("Something went wrong when reading the data file - not enought or too many data for x"); - System.exit(1); - } - for (int i = 0; i < n; ++i) { - x[i] = Double.parseDouble(dataLine[i].replaceAll("D", "E")); - } - - for (int i = 0; i < ldh; ++i) { - line = dataIn.readLine().trim().split(":")[0].trim(); - dataLine = line.split("\\s+"); - if (dataLine.length != n) { - System.err.println("Something went wrong when reading the data file - not enought or too many data for h at line " + i); - System.exit(1); - } - for (int j = 0; j < n; ++j) { - h[(int)(i + j * ldh)] = Double.parseDouble(dataLine[j].replaceAll("D", "E")); - } - } - - - } - } - -} diff --git a/simple_examples/source/int64/E04UCJE.java b/simple_examples/source/int64/E04UCJE.java deleted file mode 100644 index 20ad573..0000000 --- a/simple_examples/source/int64/E04UCJE.java +++ /dev/null @@ -1,207 +0,0 @@ -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.E04.E04UC; -import com.nag.routines.E04.E04WB; -import com.nag.routines.F06.DGEMV; -import com.nag.routines.Routine; -import java.util.Arrays; - -/** - * @author joed - */ -public class E04UCJE { - - public static final double ONE = 1.0, ZERO = 0.0; - public static final long INC1 = 1, LCWSAV = 1, LIWSAV = 610, LLWSAV = 120, LRWSAV = 475; - public static CONFUN confun = new CONFUN(); - public static OBJFUN objfun = new OBJFUN(); - - public static void main(String[] args) throws NAGBadIntegerException { - /* Local Scalars */ - double objf; - long i, ifail, iter, j, lda, ldcj, ldr, liwork, lwork, n, nclin, ncnln, sda, sdcjac; - /* Local Arrays */ - double[] a, bl, bu, c, cjac, clamda, objgrd, r, work, x; - double[] ruser = new double[1], rwsav = new double[(int)LRWSAV]; - long[] istate, iwork; - long[] iuser = new long[1], iwsav = new long[(int)LIWSAV]; - boolean[] lwsav = new boolean[(int)LLWSAV]; - String[] cwsav = new String[(int)LCWSAV]; - Arrays.fill(cwsav, " "); - - System.out.println(" E04UCJ Example Program Results"); - Routine.init(); - - /* Set scalars */ - n = 4; - nclin = 1; - ncnln = 2; - liwork = 3*n + nclin + 2*ncnln; - lda = Math.max(1, nclin); - sda = (nclin > 0) ? n : 1; - ldcj = Math.max(1, ncnln); - sdcjac = (ncnln > 0) ? n : 1; - ldr = n; - - if (ncnln == 0 && nclin > 0) { - lwork = 2*n*n + 20*n + 11*nclin; - } - else if (ncnln > 0 && nclin >= 0) { - lwork = 2*n*n + n*nclin + 2*n*ncnln + 20*n + 11*nclin + 21*ncnln; - } - else { - lwork = 20*n; - } - - /* Set arrays */ - istate = new long[(int)(n + nclin + ncnln)]; - iwork = new long[(int)liwork]; - c = new double[(int)(Math.max(1, ncnln))]; - cjac = new double[(int)(ldcj * sdcjac)]; - clamda = new double[(int)(n + nclin + ncnln)]; - objgrd = new double[(int)n]; - r = new double[(int)(ldr * n)]; - work = new double[(int)lwork]; - - a = new double[]{1.0, 1.0, 1.0, 1.0}; - bl = new double[]{1.0, 1.0, 1.0, 1.0, -1.0E+25, -1.0E+25, 25.0}; - bu = new double[]{5.0, 5.0, 5.0, 5.0, 20.0, 40.0, 1.0E+25}; - x = new double[]{1.0, 5.0, 5.0, 1.0}; - - /* Initialise E04UC */ - E04WB e04wb = new E04WB(); - ifail = 0; - e04wb.eval("E04UCA", cwsav, LCWSAV, lwsav, LLWSAV, iwsav, LIWSAV, rwsav, LRWSAV, ifail); - - /* Solve the problem */ - E04UC e04uc = new E04UC(); - iter = 0; - objf = 0.0; - ifail = -1; - e04uc.eval(n, nclin, ncnln, lda, ldcj, ldr, a, bl, bu, confun, objfun, iter, istate, c, - cjac, clamda, objf, objgrd, r, x, iwork, liwork, work, lwork, iuser, ruser, - lwsav, iwsav, rwsav, ifail); - iter = e04uc.getITER(); - objf = e04uc.getOBJF(); - ifail = e04uc.getIFAIL(); - - if ((0 >= ifail && ifail <= 6) || ifail == 8) { - System.out.println(); - System.out.println(" Varbl Istate Value Lagr Mult"); - System.out.println(); - - for (i = 0; i < n; i++) { - System.out.printf(" V %3d %3d %13.6G %13.4G\n", i+1, istate[(int)i], x[(int)i], clamda[(int)i]); - } - - if (nclin > 0) { - - /* A*x --> work. - * The NAG name equivalent of DGEMV is F06PA */ - DGEMV dgemv = new DGEMV(); - dgemv.eval("N", nclin, n, ONE, a, lda, x, INC1, ZERO, work, INC1); - - System.out.println(); - System.out.println(); - System.out.println(" L Con Istate Value Lagr Mult"); - System.out.println(); - - for (i = n; i < n+nclin; i++) { - j = i - n; - System.out.printf(" L %3d %3d %13.6G %13.4G\n", j+1, istate[(int)i], work[(int)j], clamda[(int)i]); - } - - } - - if (ncnln > 0) { - System.out.println(); - System.out.println(); - System.out.println(" N Con Istate Value Lagr Mult"); - System.out.println(); - - for (i = n+nclin; i < n+nclin+ncnln; i++) { - j = i - n - nclin; - System.out.printf(" N %3d %3d %13.6G %13.4G\n", j+1, istate[(int)i], c[(int)j], clamda[(int)i]); - } - - } - - System.out.println(); - System.out.println(); - System.out.printf(" Final objective value = %11.7G\n", objf); - - } - - } - - /** Routine to evaluate objective function and its 1st derivatives */ - public static class OBJFUN extends E04UC.Abstract_E04UC_OBJFUN { - - public void eval() { - - if (MODE == 0 || MODE == 2) { - OBJF = X[0] * X[3] * (X[0]+X[1]+X[2]) + X[2]; - } - - if (MODE == 1 || MODE == 2) { - OBJGRD[0] = X[3] * (X[0]+X[0]+X[1]+X[2]); - OBJGRD[1] = X[0] * X[3]; - OBJGRD[2] = X[0] * X[3] + ONE; - OBJGRD[3] = X[0] * (X[0]+X[1]+X[2]); - } - - } - - } - - /** Routine to evaluate the nonlinear constraints and their 1st derivatives */ - public static class CONFUN extends E04UC.Abstract_E04UC_CONFUN { - - public void eval() { - - if (NSTATE == 1) { - - /* First call to CONFUN. Set all Jacobian elements to zero. - * Note that this will only work when 'Derivative Level = 3' - * (the default; see Section 11.2). */ - - for (int i = 0; i < CJAC.length; ++i) { - CJAC[i] = 0; - } - - } - - if (NEEDC[0] > 0) { - - if (MODE == 0 || MODE == 2) { - C[0] = X[0]*X[0] + X[1]*X[1] + X[2]*X[2] + X[3]*X[3]; - } - - if (MODE == 1 || MODE == 2) { - CJAC[0] = X[0] + X[0]; - CJAC[(int)LDCJ] = X[1] + X[1]; - CJAC[(int)(2*LDCJ)] = X[2] + X[2]; - CJAC[(int)(3*LDCJ)] = X[3] + X[3]; - } - - } - - if (NEEDC[1]>0) { - - if (MODE == 0 || MODE == 2) { - C[1] = X[0]*X[1]*X[2]*X[3]; - } - - if (MODE == 1 || MODE == 2) { - CJAC[1] = X[1]*X[2]*X[3]; - CJAC[(int)(1+LDCJ)] = X[0]*X[2]*X[3]; - CJAC[(int)(1+2*LDCJ)] = X[0]*X[1]*X[3]; - CJAC[(int)(1+3*LDCJ)] = X[0]*X[1]*X[2]; - } - - } - - } - - } - -} diff --git a/simple_examples/source/int64/F02EKJE.java b/simple_examples/source/int64/F02EKJE.java deleted file mode 100644 index d8f152c..0000000 --- a/simple_examples/source/int64/F02EKJE.java +++ /dev/null @@ -1,230 +0,0 @@ -emacimport java.util.Arrays; - -import com.nag.exceptions.NAGBadIntegerException; -import com.nag.routines.F02.F02EK; -import com.nag.routines.F12.F12AD; -import com.nag.routines.X02.X02AJ; -import com.nag.routines.Routine; -import com.nag.types.*; - - -/** - * @author joed - */ -public class F02EKJE { - - public static MYMONIT mymonit = new MYMONIT(); - public static MYOPTION myoption = new MYOPTION(); - - public static void main(String[] args) throws NAGBadIntegerException { - F02EK f02ek = new F02EK(); - X02AJ x02aj = new X02AJ(); - double h, rho, s, sigma; - int ifail, imon, k, ldv, maxit, mode, n, nconv, ncv, nev, nnz, nx, - prtlvl; - NAGComplex complex = new NAGComplex(); - double[] a, resid, v, ruser = new double[1]; - int[] icolzp, irowix, iuser = new int[4]; - NAGComplex[] w; - - // Initialise wrapper library - Routine.init(); - Routine.setComplex(complex); - - System.out.println(" F02EKJ Example Program Results"); - System.out.println(); - - nx = 10; - nev = 4; - ncv = 20; - rho = 10.0; - sigma = 5.5; - - n = nx * nx; - nnz = 3*n - 2; - ldv = n; - - resid = new double[ncv]; - a = new double[nnz]; - icolzp = new int[n + 1]; - irowix = new int[nnz]; - w = (NAGComplex[]) complex.getArrayOfInstances(ncv); - v = new double[ldv * ncv]; - - // Construct A in compressed column storage (CCS) format where: - // A{ i , i } = 2 + i - // A{i+1, i } = 3 - // A{ i , i+1} = rho/(2n+2) - 1 - - h = 1.0 / (double)(n+1); - s = (rho * h / 2.0) - 1.0; - - a[0] = 2.0 + 1.0; - a[1] = 3.0; - icolzp[0] = 1; - irowix[0] = 1; - irowix[1] = 2; - k = 3; - - for (int i = 1; i < n - 1; i++) { - icolzp[i] = k; - irowix[k - 1] = i; - irowix[k] = i + 1; - irowix[k + 1] = i + 2; - a[k - 1] = s; - a[k] = 2.0 + (double)(i + 1); - a[k + 1] = 3.0; - k += 3; - } - - icolzp[n - 1] = k; - icolzp[n] = k + 2; - irowix[k - 1] = n - 1; - irowix[k] = n; - a[k - 1] = s; - a[k] = 2.0 + (double)(n); - - // Set some options via iuser array and return routine argument OPTION - // iuser[0] = print level - // iuser[1] = iteration limit - // iuser[2] > 0 means shifted-invert mode - // iuser[3] > 0 means print monitoring info - - prtlvl = 0; - maxit = 500; - mode = 1; - imon = 1; - - if (prtlvl > 0) { - imon = 0; - } - - iuser[0] = prtlvl; - iuser[1] = maxit; - iuser[2] = mode; - iuser[3] = imon; - - nconv = 0; // placeholder value, nconv is output only - ifail = 0; // hard exit on error - - f02ek.eval( - n, nnz, a, icolzp, irowix, nev, ncv, sigma, mymonit, myoption, - nconv, w, v, ldv, resid, iuser, ruser, ifail - ); - ifail = f02ek.getIFAIL(); - nconv = f02ek.getNCONV(); - - System.out.println(); - System.out.printf( - " The %4d Ritz values of closest to %13.5E are:\n", nconv, sigma - ); - - // Get machine precision - double mp = x02aj.eval(); - - for (int i = 0; i < nconv; i++) { - if (resid[i] > (double)(100*n*mp)) { - System.out.printf( - " %8d ( %13.5E , %13.5E ) %13.5E\n", - i + 1, w[i], resid[i] - ); - } - else { - System.out.printf( - " %8d ( %13.5E , %13.5E )\n", - i + 1, w[i].getRe(), w[i].getIm() - ); - } - } - - } - - public static class MYOPTION extends F02EK.Abstract_F02EK_OPTION { - - public void eval() { - F12AD f12ad = new F12AD(); - int ifail1; - String rec = " "; - - this.ISTAT = 0; - - if (this.IUSER[0] > 0) { - System.out.printf("Print Level=%5d\n", this.IUSER[0]); - ifail1 = 1; - f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[1] > 100) { - System.out.printf("Iteration Limit=%5d\n", this.IUSER[1]); - ifail1 = 1; - f12ad.eval(rec, this.ICOMM, this.COMM, ifail1); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - if (this.IUSER[2] > 0) { - ifail1 = 1; - f12ad.eval ( - "Shifted Inverse Real ", this.ICOMM, this.COMM, ifail1 - ); - ifail1 = f12ad.getIFAIL(); - this.ISTAT = Math.max(this.ISTAT, ifail1); - } - - } - - } - - public static class MYMONIT extends F02EK.Abstract_F02EK_MONIT { - - public NAGComplexInterface[] getW(){ - return this.W; - } - - public void eval() { - - if (this.IUSER[3] > 0) { - - if (this.NITER == 1 && this.IUSER[2] > 0) { - System.out.printf( - " Arnoldi basis vectors used:%4d\n", this.NCV - ); - System.out.printf( - " The following Ritz values (mu) are related to the\n" - + " true eigenvalues (lambda) by lambda = sigma + 1/mu\n" - ); - } - - System.out.println(); - System.out.printf(" Iteration number %4d\n", this.NITER); - System.out.printf( - " Ritz values converged so far (%4d) and their Ritz" - + " estimates:\n", this.NCONV - ); - - for (int i = 0; i < this.NCONV; i++) { - System.out.printf( - " %4d (%13.5E,%13.5E) %13.5E\n", - i + 1, this.W[i].getRe(), this.W[i].getIm(), - this.RZEST[i] - ); - } - - System.out.printf(" Next (unconverged) Ritz value:\n"); - - System.out.printf( - " %4d (%13.5E,%13.5E)\n", - this.NCONV + 1, this.W[NCONV].getRe(), this.W[NCONV].getIm() - ); - - } - - this.ISTAT = 0; - - } - - } - -} From 4fb81670a2626f97c0ec6ce0f63e595f2b921d9c Mon Sep 17 00:00:00 2001 From: Christos Date: Mon, 8 Feb 2021 11:32:39 +0200 Subject: [PATCH 152/196] Fixed links --- opt_imp_vol/Readme.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/opt_imp_vol/Readme.md b/opt_imp_vol/Readme.md index d02eb07..a6d1c6f 100644 --- a/opt_imp_vol/Readme.md +++ b/opt_imp_vol/Readme.md @@ -1,5 +1,5 @@ > ## Important Information -> This file has a lot of Latex and GitHub currently cannot render it on Markdown files. You can read all the math clearly as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/nearest_correlation_matrices) or access this as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/nearest_correlation_matrices). +> This file has a lot of Latex and GitHub currently cannot render it on Markdown files. You can read all the math clearly as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/opt_imp_vol) or access this as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/opt_imp_vol). > > The source of this example can be found [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/nearest_correlation_matrices/NcmNag.java). > From 1cf6350f8809371fa002ec4e5a316ed5596ac1cb Mon Sep 17 00:00:00 2001 From: Christos Date: Mon, 8 Feb 2021 11:35:25 +0200 Subject: [PATCH 153/196] Fixed links --- opt_imp_vol/Readme.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/opt_imp_vol/Readme.md b/opt_imp_vol/Readme.md index a6d1c6f..375d85e 100644 --- a/opt_imp_vol/Readme.md +++ b/opt_imp_vol/Readme.md @@ -1,7 +1,7 @@ > ## Important Information > This file has a lot of Latex and GitHub currently cannot render it on Markdown files. You can read all the math clearly as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/opt_imp_vol) or access this as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/opt_imp_vol). > -> The source of this example can be found [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/nearest_correlation_matrices/NcmNag.java). +> The source of this example can be found [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/opt_imp_vol/impVolDemo.java). > > See the top directory of this repository for instructions to set up the [NAG Library for Java](https://github.com/numericalalgorithmsgroup/NAGJavaExamples). From ee71c5942360f4982a54a3ae56884fa8bf90c393 Mon Sep 17 00:00:00 2001 From: Christos Date: Mon, 8 Feb 2021 11:38:42 +0200 Subject: [PATCH 154/196] Fixed links --- nearest_correlation_matrices/Readme.md | 2 +- opt_imp_vol/Readme.md | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/nearest_correlation_matrices/Readme.md b/nearest_correlation_matrices/Readme.md index aadbbb9..8c987ae 100644 --- a/nearest_correlation_matrices/Readme.md +++ b/nearest_correlation_matrices/Readme.md @@ -1,7 +1,7 @@ > ## Important Information > This file has a lot of Latex and GitHub currently cannot render it on Markdown files. You can read all the math clearly as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/nearest_correlation_matrices) or access this as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/nearest_correlation_matrices). > -> The source of this example can be found [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/nearest_correlation_matrices/NcmNag.java). +> The source of this example can be found [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/nearest_correlation_matrices/NcmNag.java) and the output [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/nearest_correlation_matrices/output.txt). > > See the top directory of this repository for instructions to set up the [NAG Library for Java](https://github.com/numericalalgorithmsgroup/NAGJavaExamples). diff --git a/opt_imp_vol/Readme.md b/opt_imp_vol/Readme.md index 375d85e..a057bf2 100644 --- a/opt_imp_vol/Readme.md +++ b/opt_imp_vol/Readme.md @@ -1,7 +1,7 @@ > ## Important Information > This file has a lot of Latex and GitHub currently cannot render it on Markdown files. You can read all the math clearly as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/opt_imp_vol) or access this as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/opt_imp_vol). > -> The source of this example can be found [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/opt_imp_vol/impVolDemo.java). +> The source of this example can be found [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/opt_imp_vol/impVolDemo.java) and the output [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/opt_imp_vol/output.txt). > > See the top directory of this repository for instructions to set up the [NAG Library for Java](https://github.com/numericalalgorithmsgroup/NAGJavaExamples). From b82caaf795935d056fe75988153709eadca51225 Mon Sep 17 00:00:00 2001 From: Christos Date: Mon, 22 Feb 2021 11:51:32 +0200 Subject: [PATCH 155/196] Added BXNL example --- BXNL/Readme.md | 106 ++++++++ BXNL/images/b-ral_sif-e04gg-e04gb-NF.png | Bin 0 -> 21369 bytes BXNL/images/b-ral_sif-e04gg-e04gb-NG.png | Bin 0 -> 21314 bytes BXNL/images/b-ral_sif-e04gg-e04gb-NT.png | Bin 0 -> 20131 bytes BXNL/images/est_orbit.png | Bin 0 -> 96501 bytes BXNL/images/estw_orbit.png | Bin 0 -> 96706 bytes BXNL/images/fig-unfolding.png | Bin 0 -> 60378 bytes BXNL/images/tracks.png | Bin 0 -> 94615 bytes BXNL/orbit_ex/Readme.md | 227 +++++++++++++++++ BXNL/orbit_ex/img/dat_orbit.png | Bin 0 -> 93378 bytes BXNL/orbit_ex/img/earth.png | Bin 0 -> 77733 bytes BXNL/orbit_ex/img/est_orbit.png | Bin 0 -> 96501 bytes BXNL/orbit_ex/img/estw_orbit.png | Bin 0 -> 96706 bytes BXNL/orbit_ex/img/ltx_optprb.png | Bin 0 -> 1618 bytes BXNL/orbit_ex/output.txt | Bin 0 -> 3926 bytes BXNL/orbit_ex/source/OrbitEx.java | 263 +++++++++++++++++++ BXNL/simple_BXNL/Readme.md | 310 +++++++++++++++++++++++ BXNL/simple_BXNL/data/density.d | 1 + BXNL/simple_BXNL/data/dh.d | 1 + BXNL/simple_BXNL/data/diameter.d | 1 + BXNL/simple_BXNL/data/gopt.d | 1 + BXNL/simple_BXNL/data/lopt.d | 1 + BXNL/simple_BXNL/data/w.d | 1 + BXNL/simple_BXNL/data/x.d | 1 + BXNL/simple_BXNL/generate_img.py | 75 ++++++ BXNL/simple_BXNL/img/fig2.png | Bin 0 -> 22406 bytes BXNL/simple_BXNL/img/fig3.png | Bin 0 -> 40289 bytes BXNL/simple_BXNL/img/fig4.png | Bin 0 -> 59739 bytes BXNL/simple_BXNL/output.txt | Bin 0 -> 2764 bytes BXNL/simple_BXNL/source/SimpleBXNL.java | 301 ++++++++++++++++++++++ 30 files changed, 1289 insertions(+) create mode 100644 BXNL/Readme.md create mode 100644 BXNL/images/b-ral_sif-e04gg-e04gb-NF.png create mode 100644 BXNL/images/b-ral_sif-e04gg-e04gb-NG.png create mode 100644 BXNL/images/b-ral_sif-e04gg-e04gb-NT.png create mode 100644 BXNL/images/est_orbit.png create mode 100644 BXNL/images/estw_orbit.png create mode 100644 BXNL/images/fig-unfolding.png create mode 100644 BXNL/images/tracks.png create mode 100644 BXNL/orbit_ex/Readme.md create mode 100644 BXNL/orbit_ex/img/dat_orbit.png create mode 100644 BXNL/orbit_ex/img/earth.png create mode 100644 BXNL/orbit_ex/img/est_orbit.png create mode 100644 BXNL/orbit_ex/img/estw_orbit.png create mode 100644 BXNL/orbit_ex/img/ltx_optprb.png create mode 100644 BXNL/orbit_ex/output.txt create mode 100644 BXNL/orbit_ex/source/OrbitEx.java create mode 100644 BXNL/simple_BXNL/Readme.md create mode 100644 BXNL/simple_BXNL/data/density.d create mode 100644 BXNL/simple_BXNL/data/dh.d create mode 100644 BXNL/simple_BXNL/data/diameter.d create mode 100644 BXNL/simple_BXNL/data/gopt.d create mode 100644 BXNL/simple_BXNL/data/lopt.d create mode 100644 BXNL/simple_BXNL/data/w.d create mode 100644 BXNL/simple_BXNL/data/x.d create mode 100644 BXNL/simple_BXNL/generate_img.py create mode 100644 BXNL/simple_BXNL/img/fig2.png create mode 100644 BXNL/simple_BXNL/img/fig3.png create mode 100644 BXNL/simple_BXNL/img/fig4.png create mode 100644 BXNL/simple_BXNL/output.txt create mode 100644 BXNL/simple_BXNL/source/SimpleBXNL.java diff --git a/BXNL/Readme.md b/BXNL/Readme.md new file mode 100644 index 0000000..4b21542 --- /dev/null +++ b/BXNL/Readme.md @@ -0,0 +1,106 @@ +[![NAG Logo](../nag_logo-removebg.png)](https://www.nag.com) + +> ## Important Information +> You can view this page as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/BXNL) or access this as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/BXNL). +> +> +> See the top directory of this repository for instructions to set up the [NAG Library for Java](https://github.com/numericalalgorithmsgroup/NAGJavaExamples). + +# Nonlinear Least-Squares Trust-Region Method (BXNL) + +[ [`e04ggf`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04ggf.html) | +[`e04ggc`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/clhtml/e04/e04ggc.html) | [`handle_solve_bxnl`](https://www.nag.co.uk/numeric/py/nagdoc_latest/naginterfaces.library.opt.html#naginterfaces.library.opt.handle_solve_bxnl) ] + +Data fitting and calibrating parameters of complex numerical models is one of the most common +problems found in numerous industries such as physics, space exploration, simulations, engineering, amongs many others. +[NAG](https://www.nag.co.uk/) introduces to the [NAG Library at Mark 27.1](https://www.nag.co.uk/content/nag-library) a novel [nonlinear least-square](https://en.wikipedia.org/wiki/Non-linear_least_squares) [trust-region solver](https://en.wikipedia.org/wiki/Trust_region) for unconstrained or bound-constrained fitting problems, [`e04gg`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04ggf.html). It offers a significant variety of algorithms and regularisation techniques. + +The solver [`e04gg`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04ggf.html) is aimed at small to medium sized fitting problems (up to 1000s of parameters) bound-constrained nonlinear least-squares problems +and is also part of the [NAG Optimization Modelling Suite](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04intro.html#optsuite) common handle interface. It offers clarity and consistency of the interface of the solvers within the suite, making it trivial to switch among compatible solvers. + +Figure 1 shows an illustrative simple problem of data fitting ([more details](./orbit_ex/Readme.md)). The task is to find the optimal orbit path given a variety of measurements for which the orbit has to approximatly pass-by. + + + + + +
    Optimal orbit from data orbit measurements. + Weighted optimal orbit from data orbit measurements.
    + +**Figure 1.** Example of a NLLS orbital data fitting. + Given a set of 7 orbital data points the task is to estimate an optimal orbit path that minimizes the error between the path and the fixed data points. For this example assume that expert knowledge provides insight on the reliability of each measument and that for this satellite configuration operational orbit height should around 250 +/-3 units. Center plot shows a simple fit where each measurement (data point) contributes the same amount and provides an optimal orbit height of 238.76 units. The fit is quite poor in the sense that it does not satisfy expert advice. Evidently data point 0 (yellow cross closest to earch surface) unreliablity should be taken into account while doing the fitting. Weights for the residuals should be proportional to the inverse of their variability. For this example suppose we are provided with the accuracy for each of the data measurements, this can be factored using weighted nonlinear least-squares. The rightmost plot shows the weighted optimal solution with orbit height of 254.90 units wich is withing the suggested tolerance. Image credit: [Image of Earth](https://pics.eumetsat.int/viewer/index.html) was taken from [EUMETSAT, Copyright 2020](https://pics.eumetsat.int/viewer/index.html#help). + + +# More Info + 1. [BXNL information leaflet](https://www.nag.com/content/faster-data-fitting-solver) + 2. [BXNL in the NAG Library for Java](https://www.nag.com/numeric/nl/nagdoc_27.1/flhtml/e04/e04ggf.html) + 3. Examples [[Java example](../simple_examples/source/int32/E04GGJE.java), [C example](https://www.nag.co.uk/numeric/nl/nagdoc_latest/clhtml/e04/e04ggc.html#example), [Fortran example](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04ggf.html#example), [Python example](https://www.nag.co.uk/numeric/py/nagdoc_latest/naginterfaces.library.opt.html#naginterfaces.library.examples.opt.handle_disable_ex.main)] + + # Unfolding Nuclear Track Data + + [[More details for this example](./simple_BXNL/Readme.md)] + +This example illustrates the usage of [`handle_solve_bxnl`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/clhtml/e04/e04ggc.html) ([`e04gg`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04ggf.html)) to fit PADC +etched nuclear track data of alpha particles to a convoluted distribution. A target +sheet is scanned and track diameters are recorded (red wedges, +left in Figure 2) into a histogram (Blue bars right plot of Figure 2) +and a mixed Normal and log-Normal model is to be fitted +to the obtained experimental histogram. + +The [example](./simple_BXNL/Readme.md) uses `e04gg` to fit the +six parameter model φ(t, x = (a,b,Al,μ,σ,Ag)) = Al log-Normal(a, b) + Ag Normal(μ, σ) with 0 ≤ x, +using as data the histogram heights. The NLLS solution provides the unfolded +parameters for the two distributions (red and blue curves in right plot in Figure 2). +Adding these together produces the green curve which is the one used to perform the fitting with. + + + + + + +
    PADC etch track diameter histogram unfoldingExperimental histogram of track diameter
    + +**Figure 2.** Left: example of a PADC target with alpha +particle etched tracks, wedges in red show the track diameter. +Right: experimental data histogram of track diameters (blue bars), +aggregated model used in the fitting (green curve) and unfolded models (blue and red curves). +Optimal parameter values are reported in the legend. + + +# Modern Replacement Alternative +Solver [`handle_solve_bxnl`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/clhtml/e04/e04ggc.html) ([`e04gg`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04ggf.html)) is a modern and attractive replacement for the unconstrained nonlinear least-squares solver [`lsq_uncon_quasi_deriv_comp`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/clhtml/e04/e04gbc.html) ([`e04gb`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04gbf.html)). + +More recent and modern methods have been incorporated into [`e04gg`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04ggf.html) making it much faster than [`e04gb`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04gbf.html). Our benchmarks comparing [`e04gg`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04ggf.html) to [`e04gb`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04gbf.html) using 68 unconstrained nonlinear least-squares CUTEst problems is reported in Figure 3 using performance profiles. + +Contrasting the three plots, it can be seen that the new solver is more efficient in time: solves 60% +of the problems faster (left plot). In general terms it is more robust (solves 25% more problems) and less expensive in terms of user call-backs: 55% of problems +require less function calls (center plot) and 65% of the problems require less gradient evaluations (right plot). + + +[`e04gg`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04ggf.html) +should present significant improvement for unconstrained or bound-constrained nonlinear +least-squares solvers in the NAG Library and current users of [`e04gb`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04gbf.html) +are highly encourage to try out the new solver. + + + + +
    Performance Profile (time:seconds) + Performance Profile (number of function calls) + Performance Profile (number of gradient calls) +
    + +**Figure 3.** Performance profiles comparing solvers e04gg and e04gb over 68 CUTEst unconstrained nonlinear least-squares problems. +Performance measure are: time in seconds (left), number of function calls (center) and number of gradient calls +(right). For the time plot (left), higher line indicates faster solver. For the center and right plots, higher line +represent less functions and gradients calls. + + + +# References + + * Gould N I M, Rees T, and Scott J A (2017) _A higher order method for solving nonlinear least-squares problems_. Technical report, RAL-P-1027-010 RAL Library. STFC Rutherford Appleton Laboratory http://www.numerical.rl.ac.uk/people/rees/pdf/RAL-P-2017-010.pdf + * Kanzow C, Yamashita N, and Fukushima M (2004) _Levenberg-Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints_. Journal of Computational and Applied Mathematics 174 375–397 + * Nocedal J and Wright S J (2006) _Numerical Optimization_. (2nd Edition) Springer Series in Operations Research, Springer, New York + * Adachi S, Iwata S, Nakatsukasa Y, and Takeda A (2015) _Solving the trust region subproblem by a generalized eigenvalue problem_. Technical report, METR 2015-14. Mathematical Engineering, The University of Tokyo https://www.keisu.t.u-tokyo.ac.jp/data/2015/METR15-14.pdf + * Conn A R, Gould N I M and Toint Ph L (2000) _Trust Region Methods_. 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currently cannot render it on Markdown files. You can read all the math clearly as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/opt_imp_vol) or access this as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/opt_imp_vol). +> +> The source of this example can be found [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/opt_imp_vol/impVolDemo.java) and the output [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/opt_imp_vol/output.txt). +> +> See the top directory of this repository for instructions to set up the [NAG Library for Java](https://github.com/numericalalgorithmsgroup/NAGJavaExamples). + +# Orbital Data Fitting + +Example of a nonlinear least-square orbital data fitting. Given a set of orbital data points the task is to estimate an optimal orbit path that minimizes the error between the path and the fixed data points. + +```java + double[] tx = new double[] { 441.23, 484.31, 265.15, 98.25, 180.66, 439.13, 596.54 }; + double[] ty = new double[] { 333.92, 563.46, 577.40, 379.23, 148.62, 100.28, 285.99 }; + double[] cc = new double[] { 355.00, 347.00 }; + double[] tr = new double[tx.length]; + + for (i = 0; i < tr.length; i++) { + tr[i] = Math.pow(tx[i] - cc[0], 2) + Math.pow(ty[i] - cc[1], 2); + } +``` + +
    + +

    + +Image credit: [Image of Earth](https://pics.eumetsat.int/viewer/index.html) was taken from [EUMETSAT, Copyright 2020](https://pics.eumetsat.int/viewer/index.html#help). + + +The previous image shows the orbit measurements to which an optimal orbit, `r`, must be estimated. +The simple univariate problem to solve is: + +![LaTeX equation: min f(x) = sum i=1 to nres of (tr[i]^2 - r^2)^2](img/ltx_optprb.png) + +Here `tr[i]` contains the squared norm for the measurement point `i`, given by the coordinate pair `(tx[i], ty[i])`. Note that the coordinates for the center of the planet are provided by the vector `cc`. + +```java + // problem data + // number of oservations + int nres = tx.length; + // observations + // + // number of parameter to fit + int nvar = 1; +``` + +
    + +```java + /** + * Objective function call back passed to the least squares solver. Return the + * difference between the current estimated radius squared, r^2=x^2 and the + * squared norm of the data point stored in tr[i] for i = 1 to nres: + * rx[i] = r^2 - tr[i], i = 1, ..., nres. + */ + public static class LSQFUN extends E04GG.Abstract_E04GG_LSQFUN { + public void eval() { + for (int i = 0; i < this.NRES; i++) { + this.RX[i] = Math.pow(this.X[0], 2) - this.RUSER[i]; + } + } + } + + /** + * Computes the Jacobian of the least square residuals. Simply return + * rdx[i] = 2r, i = 1, ..., nres. + */ + public static class LSQGRD extends E04GG.Abstract_E04GG_LSQGRD { + public void eval() { + Arrays.fill(this.RDX, 2.0 * this.X[0]); + } + } +``` + +
    + +```java + // Initialize the model handle + long handle = 0; + int ifail = 0; + + E04RA e04ra = new E04RA(); + e04ra.eval(handle, nvar, ifail); + + handle = e04ra.getHANDLE(); + + // Define a dense nonlinear least-squares objective function + E04RM e04rm = new E04RM(); + ifail = 0; + e04rm.eval(handle, nres, 0, 0, new int[] {}, new int[] {}, ifail); + + // Restrict parameter space (0 <= x) + E04RH e04rh = new E04RH(); + double[] bl = new double[nvar]; + double[] bu = new double[nvar]; + Arrays.fill(bu, 1000.0); + ifail = 0; + e04rh.eval(handle, nvar, bl, bu, ifail); + + // Set some optional parameters to control the output of the solver + E04ZM e04zm = new E04ZM(); + ifail = 0; + + e04zm.eval(handle, "Print Options = NO", ifail); + e04zm.eval(handle, "Print Level = 1", ifail); + e04zm.eval(handle, "Print Solution = X", ifail); + e04zm.eval(handle, "Bxnl Iteration Limit = 100", ifail); + + // Define initial guess (starting point) Away from zero which is problematic + double[] x = new double[nvar]; + Arrays.fill(x, 1.0); +``` + +Call the solver + +```java + // Call the solver + E04GG e04gg = new E04GG(); + LSQFUN lsqfun = new LSQFUN(); + LSQGRD lsqgrd = new LSQGRD(); + LSQHES lsqhes = new LSQHES(); + LSQHPRD lsqhprd = new LSQHPRD(); + MONIT monit = new MONIT(); + double[] rx = new double[nres]; + double[] rinfo = new double[100]; + double[] stats = new double[100]; + int[] iuser = new int[0]; + double[] ruser = tr; + long cpuser = 0; + ifail = 0; + + e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, rx, rinfo, stats, iuser, ruser, + cpuser, ifail); +``` + +
    + +``` + E04GG, Nonlinear least squares method for bound-constrained problems + Status: converged, an optimal solution was found + Value of the objective 1.45373E+09 + Norm of projected gradient 2.23690E-01 + Norm of scaled projected gradient 4.14848E-06 + Norm of step 3.75533E-06 + + Primal variables: + idx Lower bound Value Upper bound + 1 0.00000E+00 2.38765E+02 1.00000E+03 +``` + +
    + +```java + // Optimal parameter values + double rstar = x[0]; + System.out.printf("Optimal Orbit Height: %3.2f\n", rstar); +``` + +
    + +
    + +
    + +Suppose expert knowledge provides insight on the reliability of each measurement and that for this satellite configuration, operational orbit height should be around 250 +/-6 units. The previous image shows a fit where each measurement (data point) contributes the same amount and provides an optimal orbit height of 238.76 units. The fit is quite poor in the sense that it does not satisfy expert advice. Evidently data point 0 (yellow cross closest to Earth surface) is unreliable. Unreliability should be taken into account while doing the fitting. For this end, weights for each residuals are introduced (weights should be set to be proportional to the inverse of their variability). For this example, suppose we are provided with the accuracy for each of the data measurements. + +With this new information, the problem is solved again using weighted nonlinear least-squares. + +```java + // Add weights for each residual + double[] weights = new double[] { 0.10, 0.98, 1.01, 1.00, 0.92, 0.97, 1.02 }; + double weights_sum = Arrays.stream(weights).sum(); + for (i = 0; i < weights.length; i++) { + weights[i] /= weights_sum; + } + + // Define the reliability of the measurements (weights) + E04RX e04rx = new E04RX(); + ifail = 0; + e04rx.eval(handle, "RW", 0, weights.length, weights, ifail); + + // Indicate to the solver that weights are to be used + ifail = 0; + e04zm.eval(handle, "Bxnl Use weights = Yes", ifail); + + // Define initial guess (starting point) Away from zero which is problematic + Arrays.fill(x, 1.0); + + // Solve again + e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, rx, rinfo, stats, iuser, ruser, + cpuser, ifail); + + // Objective and solution + rstar = x[0]; + System.out.printf("Optimal Orbit Height: %3.2f\n", rstar); +``` + +
    + +``` + E04GG, Nonlinear least squares method for bound-constrained problems + Status: converged, an optimal solution was found + Value of the objective 1.25035E+06 + Norm of projected gradient 6.26959E-03 + Norm of scaled projected gradient 3.96468E-06 + Norm of step 8.72328E-03 + + Primal variables: + idx Lower bound Value Upper bound + 1 0.00000E+00 2.54896E+02 1.00000E+03 +Optimal Orbit Height: 254.90 +``` + +
    + +
    + +
    + + +``` +Optimal Orbit Height: 254.90 (should be between 244 and 256) +``` + +For this weighted model the orbital solution provided concurs with expert advice. diff --git a/BXNL/orbit_ex/img/dat_orbit.png b/BXNL/orbit_ex/img/dat_orbit.png new file mode 100644 index 0000000000000000000000000000000000000000..ec1b79d634e85a84f41f8980c813a898dc648c26 GIT binary patch literal 93378 zcmeFYRa9Kvwl10k4PH2f1ql$`y>NGThv4q+?ry;?1b3HU1xe7t-QC^cvi6^K?m7Fu z?RHx`FRQnDn6qlkF=vg@bi8{9g$)n;_6>%V zs^7bJ{_iA31XbMij+S@bvTl9o9>@oqlDFn0W8;#jQa>wI>~-F*AWnFlcHZj2b|U@G zL-IULF~IneppqZ?bv`xQ$z~T!=bBZqWjA-5k)QqTac|(6PJ0F_(yRJfGw&xu?Uz6+ z4=Y~Wr;oUyhX4BPAZGC=bO-&{aj0RJ#QNITe}3s2|Nr$6K-A%PLFp$X@+Qu<;bM16 zdIJACE+U_R*Z++e{x3-;2d+zdya&8VLZS$n_ZNmwq;H~>XdcY44fC(jB2wrvXT=@< z{~9eJSpeut#zFhn@Gp|Ay=fO8{xzEPbHslp|If1gM_c~qMpSUQxBuDz`uxg8`d|e3 zYjAtK8*86EegAE_&O{Dp=pg=oTPb%Or+Y*W@xLuHTb!UnWDND+raelAqF1mR_HQ%Z z1;8;(Tnhg+*@DaPptQYvlE1b;;nCkCef5O)@7rG9tPUQTiLMBWjG_E{K0dpP+6T>e 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b/BXNL/orbit_ex/source/OrbitEx.java new file mode 100644 index 0000000..1fc887a --- /dev/null +++ b/BXNL/orbit_ex/source/OrbitEx.java @@ -0,0 +1,263 @@ +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RM; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04RX; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04GG; +import com.nag.routines.E04.E04GGU; +import com.nag.routines.E04.E04GGV; +import com.nag.routines.E04.E04FFU; + +import javax.imageio.ImageIO; +import java.awt.Color; +import java.awt.Graphics2D; +import java.awt.image.BufferedImage; +import java.io.File; +import java.io.IOException; +import java.lang.Math; +import java.awt.Color; +import java.util.Arrays; + +public class OrbitEx { + + public static void main(String[] args) { + + int i; + + // Orbital Data Fitting + + double[] tx = new double[] { 441.23, 484.31, 265.15, 98.25, 180.66, 439.13, 596.54 }; + double[] ty = new double[] { 333.92, 563.46, 577.40, 379.23, 148.62, 100.28, 285.99 }; + double[] cc = new double[] { 355.00, 347.00 }; + double[] tr = new double[tx.length]; + + for (i = 0; i < tr.length; i++) { + tr[i] = Math.pow(tx[i] - cc[0], 2) + Math.pow(ty[i] - cc[1], 2); + } + + try { + // Open a JPEG file, load into a BufferedImage. + BufferedImage img = ImageIO.read(new File("../img/earth.png")); + + // Obtain the Graphics2D context associated with the BufferedImage. + Graphics2D g = img.createGraphics(); + + // Set the Color to Yellow + g.setColor(Color.YELLOW); + + // Draw the Points on the image + for (i = 0; i < tx.length; i++) { + drawPoint(g, (int) tx[i], (int) ty[i]); + } + + // Save the image + ImageIO.write(img, "PNG", new File("../img/dat_orbit.png")); + + // Clean up -- dispose the graphics context that was created. + g.dispose(); + } catch (IOException e) { + e.printStackTrace(); + } + + // problem data + // number of oservations + int nres = tx.length; + // observations + // + // number of parameter to fit + int nvar = 1; + + // Initialize the model handle + long handle = 0; + int ifail = 0; + + E04RA e04ra = new E04RA(); + e04ra.eval(handle, nvar, ifail); + + handle = e04ra.getHANDLE(); + + // Define a dense nonlinear least-squares objective function + E04RM e04rm = new E04RM(); + ifail = 0; + e04rm.eval(handle, nres, 0, 0, new int[] {}, new int[] {}, ifail); + + // Restrict parameter space (0 <= x) + E04RH e04rh = new E04RH(); + double[] bl = new double[nvar]; + double[] bu = new double[nvar]; + Arrays.fill(bu, 1000.0); + ifail = 0; + e04rh.eval(handle, nvar, bl, bu, ifail); + + // Set some optional parameters to control the output of the solver + E04ZM e04zm = new E04ZM(); + ifail = 0; + + e04zm.eval(handle, "Print Options = NO", ifail); + e04zm.eval(handle, "Print Level = 1", ifail); + e04zm.eval(handle, "Print Solution = X", ifail); + e04zm.eval(handle, "Bxnl Iteration Limit = 100", ifail); + + // Define initial guess (starting point) Away from zero which is problematic + double[] x = new double[nvar]; + Arrays.fill(x, 1.0); + + // Call the solver + E04GG e04gg = new E04GG(); + LSQFUN lsqfun = new LSQFUN(); + LSQGRD lsqgrd = new LSQGRD(); + LSQHES lsqhes = new LSQHES(); + LSQHPRD lsqhprd = new LSQHPRD(); + MONIT monit = new MONIT(); + double[] rx = new double[nres]; + double[] rinfo = new double[100]; + double[] stats = new double[100]; + int[] iuser = new int[0]; + double[] ruser = tr; + long cpuser = 0; + ifail = 0; + + e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, rx, rinfo, stats, iuser, ruser, + cpuser, ifail); + + // Optimal parameter values + double rstar = x[0]; + System.out.printf("Optimal Orbit Height: %3.2f\n", rstar); + + try { + // Open a JPEG file, load into a BufferedImage. + BufferedImage img = ImageIO.read(new File("../img/dat_orbit.png")); + + // Obtain the Graphics2D context associated with the BufferedImage. + Graphics2D g = img.createGraphics(); + + // Set the Color to White + g.setColor(Color.WHITE); + + // Draw the Circle around the points + g.drawOval((int) (cc[0] - rstar), (int) (cc[1] - rstar), (int) (2 * rstar), (int) (2 * rstar)); + + // Save the image + ImageIO.write(img, "PNG", new File("../img/est_orbit.png")); + + // Clean up -- dispose the graphics context that was created. + g.dispose(); + } catch (IOException e) { + e.printStackTrace(); + } + + // Add weights for each residual + double[] weights = new double[] { 0.10, 0.98, 1.01, 1.00, 0.92, 0.97, 1.02 }; + double weights_sum = Arrays.stream(weights).sum(); + for (i = 0; i < weights.length; i++) { + weights[i] /= weights_sum; + } + + // Define the reliability of the measurements (weights) + E04RX e04rx = new E04RX(); + ifail = 0; + e04rx.eval(handle, "RW", 0, weights.length, weights, ifail); + + // Indicate to the solver that weights are to be used + ifail = 0; + e04zm.eval(handle, "Bxnl Use weights = Yes", ifail); + + // Define initial guess (starting point) Away from zero which is problematic + Arrays.fill(x, 1.0); + + // Solve again + e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, rx, rinfo, stats, iuser, ruser, + cpuser, ifail); + + // Objective and solution + rstar = x[0]; + System.out.printf("Optimal Orbit Height: %3.2f\n", rstar); + + try { + // Open a JPEG file, load into a BufferedImage. + BufferedImage img = ImageIO.read(new File("../img/dat_orbit.png")); + + // Obtain the Graphics2D context associated with the BufferedImage. + Graphics2D g = img.createGraphics(); + + // Set the Color to White + g.setColor(Color.WHITE); + + // Draw the Circle around the points + g.drawOval((int) (cc[0] - rstar), (int) (cc[1] - rstar), (int) (2 * rstar), (int) (2 * rstar)); + + // Save the image + ImageIO.write(img, "PNG", new File("../img/estw_orbit.png")); + + // Clean up -- dispose the graphics context that was created. + g.dispose(); + } catch (IOException e) { + e.printStackTrace(); + } + System.out.printf("Optimal Orbit Height: %3.2f (should be between 244 and 256)\n", rstar); + + // Destroy the handle: + E04RZ e04rz = new E04RZ(); + ifail = 0; + e04rz.eval(handle, ifail); + } + + /** + * Objective function call back passed to the least squares solver. Return the + * difference between the current estimated radius squared, r^2=x^2 and the + * squared norm of the data point stored in tr[i] for i = 1 to nres: rx[i] = r^2 + * - tr[i], i = 1, ..., nres. + */ + public static class LSQFUN extends E04GG.Abstract_E04GG_LSQFUN { + public void eval() { + for (int i = 0; i < this.NRES; i++) { + this.RX[i] = Math.pow(this.X[0], 2) - this.RUSER[i]; + } + } + } + + /** + * Computes the Jacobian of the least square residuals. Simply return rdx[i] = + * 2r, i = 1, ..., nres. + */ + public static class LSQGRD extends E04GG.Abstract_E04GG_LSQGRD { + public void eval() { + Arrays.fill(this.RDX, 2.0 * this.X[0]); + } + } + + public static class LSQHES extends E04GG.Abstract_E04GG_LSQHES { + public void eval() { + E04GGU e04ggu = new E04GGU(); + e04ggu.eval(this.NVAR, this.X, this.NRES, this.LAMBDA, this.HX, this.INFORM, this.IUSER, this.RUSER, + this.CPUSER); + this.INFORM = e04ggu.getINFORM(); + } + } + + public static class LSQHPRD extends E04GG.Abstract_E04GG_LSQHPRD { + public void eval() { + E04GGV e04ggv = new E04GGV(); + e04ggv.eval(this.NVAR, this.X, this.Y, this.NRES, this.HXY, this.INFORM, this.IUSER, this.RUSER, + this.CPUSER); + this.INFORM = e04ggv.getINFORM(); + } + } + + public static class MONIT extends E04GG.Abstract_E04GG_MONIT { + public void eval() { + E04FFU e04ffu = new E04FFU(); + e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ffu.getINFORM(); + } + } + + private static void drawPoint(Graphics2D g, int x, int y) { + int width = 3; + int length = 21; + g.fillRect(x - (width / 2), y - (length / 2), width, length); + g.fillRect(x - (length / 2), y - (width / 2), length, width); + } + +} diff --git a/BXNL/simple_BXNL/Readme.md b/BXNL/simple_BXNL/Readme.md new file mode 100644 index 0000000..c085ea4 --- /dev/null +++ b/BXNL/simple_BXNL/Readme.md @@ -0,0 +1,310 @@ +> ## Important Information +> You can view this page as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/opt_imp_vol) or access this as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/opt_imp_vol). +> +> +> See the top directory of this repository for instructions to set up the [NAG Library for Java](https://github.com/numericalalgorithmsgroup/NAGJavaExamples). + +This example demontrates how to fit data to a model using weighted nonlinear least-squares. + +**handle_solve_bxnl** (`e04gg`) is a bound-constrained nonlinear least squares trust region solver (BXNL) from the NAG optimization modelling suite aimed for small to medium-scale problems. It solves the problem: + +$$ +\begin{array}{ll} +{\underset{x \in \mathbb{R}^{n_{\text{var}}}}{minimize}\ } & +\frac{1}{2} \sum_{i=1}^{n_{\text{res}}} w_i r_i(x)^2 + \frac{\sigma}{p}\|x\|^p_2\\ +\text{subject to} & l_{x} \leq x \leq u_{x} +\end{array} +$$ + + +where $$r_i(x),i=1,\dots,n_{\text{res}}$$, are smooth nonlinear functions called residuals, $$w_i ,i=1,\dots,n_{\text{res}}$$ are weights (by default they are all defined to 1, and the rightmost element represents the regularization term with parameter $$\sigma\geq0$$ and power $$p>0$$. The constraint elements $$l_x$$ and $$u_x$$ are $$n_{\text{var}}$$-dimensional vectors defining the bounds on the variables. + +Typically in a calibration or data fitting context, the residuals will be defined as the difference between the observed values $$y_i$$ at $$t_i$$ and the values provided by a nonlinear model $$\phi(t;x)$$, i.e., $$r_i(x)≔y_i-\phi(t_i;x).$$ + +The following example illustrates the usage of `e04gg` to fit PADC target with $$\alpha$$ particle +etched nuclear track data to a convoluted distribution. A target +sheet is scanned and track diameters (red wedges in +the following Figure 1) are recorded into a histogram and a mixed Normal and log-Normal model is to be fitted to the experimental histogram (see Figure 2). +![PADC](../images/tracks.png) + +**Figure 1**: PADC with etched $$\alpha$$ particle tracks. + +`e04gg` is used to fit the six parameter model +$$ +\begin{array}{ll} +\phi\big(t, x = (a, b, A_{\ell}, \mu, \sigma, A_g)\big) = \text{log-Normal}(a, b, A_l) + \text{Normal}(\mu, \sigma^2, A_g)\\ +\text{subject to } 0 \leq x, +\end{array}$$ +using the histogram heights reported in Figure 2. + +```java + // problem data + // number of observations + int nres = 64; + // ovservations + int[] diameter = new int[nres]; + for (i = 0; i < nres; i++) { + diameter[i] = i + 1; + } + double[] density = new double[] { 0.0722713864, 0.0575221239, 0.0604719764, 0.0405604720, 0.0317109145, + 0.0309734513, 0.0258112094, 0.0228613569, 0.0213864307, 0.0213864307, 0.0147492625, 0.0213864307, + 0.0243362832, 0.0169616519, 0.0095870206, 0.0147492625, 0.0140117994, 0.0132743363, 0.0147492625, + 0.0140117994, 0.0140117994, 0.0132743363, 0.0117994100, 0.0132743363, 0.0110619469, 0.0103244838, + 0.0117994100, 0.0117994100, 0.0147492625, 0.0110619469, 0.0132743363, 0.0206489676, 0.0169616519, + 0.0169616519, 0.0280235988, 0.0221238938, 0.0235988201, 0.0221238938, 0.0206489676, 0.0228613569, + 0.0184365782, 0.0176991150, 0.0132743363, 0.0132743363, 0.0088495575, 0.0095870206, 0.0073746313, + 0.0110619469, 0.0036873156, 0.0051622419, 0.0058997050, 0.0014749263, 0.0022123894, 0.0029498525, + 0.0014749263, 0.0007374631, 0.0014749263, 0.0014749263, 0.0007374631, 0.0000000000, 0.0000000000, + 0.0000000000, 0.0000000000, 0.0000000000 }; + + // Define iuser and ruser to be passed to the callback functions + int[] iuser = diameter; + double[] ruser = density; +``` + +
    + +

    + +
    + +**Figure 2**: Histogram of etched track diameter of $\alpha$ particles. Bar heights are the data that will be fitted unsing the aggregated model $\phi(x, t)$. + +```java + // Define Normal and log-Normal distributions + public static double lognormal(int d, double a, double b, double Al) { + return Al / (d * b * Math.sqrt(2 * Math.PI)) * Math.exp(-(Math.pow(Math.log(d) - a, 2)) / (2 * Math.pow(b, 2))); + } + + public static double gaussian(int d, double mu, double sigma, double Ag) { + return Ag * Math.exp(-0.5 * Math.pow((d - mu) / sigma, 2)) / (sigma * Math.sqrt(2 * Math.PI)); + } + + public static double[] lognormal(double[] d, double a, double b, double Al) { + double[] result = new double[d.length]; + for (int i = 0; i < d.length; i++) { + result[i] = Al / (d[i] * b * Math.sqrt(2 * Math.PI)) * Math.exp(-(Math.pow(Math.log(d[i]) - a, 2)) / (2 * Math.pow(b, 2))); + } + return result; + } + + public static double[] gaussian(double[] d, double mu, double sigma, double Ag) { + double[] result = new double[d.length]; + for (int i = 0; i < d.length; i++) { + result[i] = Ag * Math.exp(-0.5 * Math.pow((d[i] - mu) / sigma, 2)) / (sigma * Math.sqrt(2 * Math.PI)); + } + return result; + } +``` + +In terms of solving this problem, the function to minimize is the sum of residuals using the model $\phi(x;t)$ +and the data pair (`diameter`, `density`). The parameter vector is $x = (a, b, A_l, \mu, \sigma, A_g)$. The next step is to define a function to return the residual vector +$\text{lsqfun}(x) := \big[r_1(x), r_2(x), \dots, r_{n_{\text{res}}}(x)\big]$. + +```java + // Define the least-square function as a mixture of Normal and log-Normal + // functions. Also add its first derivatives + + /** + * Objective function callback passed to the least squares solver. x = (a, b, + * Al, mu, sigma, Ag) + */ + public static class LSQFUN extends E04GG.Abstract_E04GG_LSQFUN { + public void eval() { + int[] d = this.IUSER; + double[] y = this.RUSER; + double a = this.X[0]; + double b = this.X[1]; + double Al = this.X[2]; + double mu = this.X[3]; + double sigma = this.X[4]; + double Ag = this.X[5]; + + for (int i = 0; i < this.NRES; i++) { + this.RX[i] = lognormal(d[i], a, b, Al) + gaussian(d[i], mu, sigma, Ag) - y[i]; + } + } + } + + /** + * Computes the Jacobian of the least square residuals. x = (a, b, Al, mu, + * sigma, Ag) + */ + public static class LSQGRD extends E04GG.Abstract_E04GG_LSQGRD { + public void eval() { + int n = this.X.length; + int[] d = this.IUSER; + double a = this.X[0]; + double b = this.X[1]; + double Al = this.X[2]; + double mu = this.X[3]; + double sigma = this.X[4]; + double Ag = this.X[5]; + for (int i = 0; i < this.NRES; i++) { + // log-Normal derivatives + double l = lognormal(d[i], a, b, Al); + // dl/da + this.RDX[i * n + 0] = (Math.log(d[i]) - a) / Math.pow(b, 2) * l; + // dl/db + this.RDX[i * n + 1] = (Math.pow(Math.log(d[i]) - a, 2) - Math.pow(b, 2)) / Math.pow(b, 3) * l; + // dl/dAl + this.RDX[i * n + 2] = lognormal(d[i], a, b, 1.0); + // Gaussian derivatives + double g = gaussian(d[i], mu, sigma, Ag); + // dg/dmu + this.RDX[i * n + 3] = (d[i] - mu) / Math.pow(sigma, 2) * g; + // dg/dsigma + this.RDX[i * n + 4] = (Math.pow(d[i] - mu, 2) - Math.pow(sigma, 2)) / Math.pow(sigma, 3) * g; + // dg/dAg + this.RDX[i * n + 5] = gaussian(d[i], mu, sigma, 1.0); + } + } + } +``` + +
    + +```java + // parameter vector: x = (a, b, Al, mu, sigma, Ag) + int nvar = 6; + + // Initialize the model handle + E04RA e04ra = new E04RA(); + long handle = 0; + int ifail = 0; + e04ra.eval(handle, nvar, ifail); + + handle = e04ra.getHANDLE(); + + // Define a dense nonlinear least-squares objective function + E04RM e04rm = new E04RM(); + ifail = 0; + e04rm.eval(handle, nres, 0, 0, new int[] {}, new int[] {}, ifail); + + // Add weights for each residual + double[] weights = new double[nres]; + Arrays.fill(weights, 1.0); + for (i = 55; i < 63; i++) { + weights[i] = 5.0; + } + double weights_sum = Arrays.stream(weights).sum(); + for (i = 0; i < weights.length; i++) { + weights[i] /= weights_sum; + } + + // Define the reliability of the measurements (weights) + E04RX e04rx = new E04RX(); + ifail = 0; + e04rx.eval(handle, "RW", 0, weights.length, weights, ifail); + + // Restrict parameter space (0 <= x) + E04RH e04rh = new E04RH(); + double[] bl = new double[nvar]; + double[] bu = new double[nvar]; + Arrays.fill(bu, 100.0); + ifail = 0; + e04rh.eval(handle, nvar, bl, bu, ifail); + + // Set some optional parameters to control the output of the solver + E04ZM e04zm = new E04ZM(); + ifail = 0; + + e04zm.eval(handle, "Print Options = NO", ifail); + e04zm.eval(handle, "Print Level = 1", ifail); + e04zm.eval(handle, "Print Solution = X", ifail); + e04zm.eval(handle, "Bxnl Iteration Limit = 100", ifail); + // Add cubic regularization term (avoid overfitting) + e04zm.eval(handle, "Bxnl Use weights = YES", ifail); + e04zm.eval(handle, "Bxnl Reg Order = 3", ifail); + e04zm.eval(handle, "Bxnl Glob Method = REG", ifail); + + // Define initial guess (starting point) + double[] x = new double[] { 1.63, 0.88, 1.0, 30, 1.52, 0.24 }; +``` + +Call the solver + +```java + // Call the solver + E04GG e04gg = new E04GG(); + LSQFUN lsqfun = new LSQFUN(); + LSQGRD lsqgrd = new LSQGRD(); + LSQHES lsqhes = new LSQHES(); + LSQHPRD lsqhprd = new LSQHPRD(); + MONIT monit = new MONIT(); + double[] rx = new double[nres]; + double[] rinfo = new double[100]; + double[] stats = new double[100]; + long cpuser = 0; + ifail = 0; + + e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, rx, rinfo, stats, iuser, ruser, + cpuser, ifail); +``` + +
    + +``` + E04GG, Nonlinear least squares method for bound-constrained problems + Status: converged, an optimal solution was found + Value of the objective 4.44211E-08 + Norm of projected gradient 1.18757E-09 + Norm of scaled projected gradient 3.98428E-06 + Norm of step 1.66812E-01 + + Primal variables: + idx Lower bound Value Upper bound + 1 0.00000E+00 2.02043E+00 1.00000E+02 + 2 0.00000E+00 1.39726E+00 1.00000E+02 + 3 0.00000E+00 6.93255E-01 1.00000E+02 + 4 0.00000E+00 3.65929E+01 1.00000E+02 + 5 0.00000E+00 7.01808E+00 1.00000E+02 + 6 0.00000E+00 3.36877E-01 1.00000E+02 +``` + +The optimal solution $x$ provides the unfolded parameters for the two distributions, Normal and log-Normal (blue and red curves in Figure 4). Adding these together produces the aggragated curve (shown in color green of Figure 3 and 4) this last one is the one used to perform the fitting with. The optimal solution is + +```java + // Optimal parameter values + // Al * log-Normal(a, b): + double aopt = x[0]; + double bopt = x[1]; + double Alopt = x[2]; + + // Ag * gaussian(mu, sigma): + double muopt = x[3]; + double sigmaopt = x[4]; + double Agopt = x[5]; +``` + +and the objective function value is + +``` +Objective Function Value: 4.4421102582032467E-8 +``` + +The next plot in Figure 3 illustrates the mixed-distribution fit over the histogram: + +
    + +
    + +**Figure 3**: Histogram with aggregated fit. + +The plot below in Figure 4 shows the unfolded fit, in red the log-Normal distribution and blue the Normal one: + +
    + +
    + +**Figure 4**: Aggregated model used for the fitting (green curve) and unfolded models (blue and red curves). +Optimal parameter values are ported in the legend. + +Finally, clean up and destroy the handle + +```java + // Destroy the handle: + E04RZ e04rz = new E04RZ(); + ifail = 0; + e04rz.eval(handle, ifail); +``` diff --git a/BXNL/simple_BXNL/data/density.d b/BXNL/simple_BXNL/data/density.d new file mode 100644 index 0000000..7da020e --- /dev/null +++ b/BXNL/simple_BXNL/data/density.d @@ -0,0 +1 @@ +0.0722713864 0.0575221239 0.0604719764 0.040560472 0.0317109145 0.0309734513 0.0258112094 0.0228613569 0.0213864307 0.0213864307 0.0147492625 0.0213864307 0.0243362832 0.0169616519 0.0095870206 0.0147492625 0.0140117994 0.0132743363 0.0147492625 0.0140117994 0.0140117994 0.0132743363 0.01179941 0.0132743363 0.0110619469 0.0103244838 0.01179941 0.01179941 0.0147492625 0.0110619469 0.0132743363 0.0206489676 0.0169616519 0.0169616519 0.0280235988 0.0221238938 0.0235988201 0.0221238938 0.0206489676 0.0228613569 0.0184365782 0.017699115 0.0132743363 0.0132743363 0.0088495575 0.0095870206 0.0073746313 0.0110619469 0.0036873156 0.0051622419 0.005899705 0.0014749263 0.0022123894 0.0029498525 0.0014749263 7.374631E-4 0.0014749263 0.0014749263 7.374631E-4 0.0 0.0 0.0 0.0 0.0 diff --git a/BXNL/simple_BXNL/data/dh.d b/BXNL/simple_BXNL/data/dh.d new file mode 100644 index 0000000..9149a0c --- /dev/null +++ b/BXNL/simple_BXNL/data/dh.d @@ -0,0 +1 @@ +0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4.0 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5.0 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 6.0 6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8 6.9 7.0 7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 7.9 8.0 8.1 8.2 8.3 8.4 8.5 8.6 8.7 8.8 8.9 9.0 9.1 9.2 9.3 9.4 9.5 9.6 9.7 9.8 9.9 10.0 10.1 10.2 10.3 10.4 10.5 10.6 10.7 10.8 10.9 11.0 11.1 11.2 11.3 11.4 11.5 11.6 11.7 11.8 11.9 12.0 12.1 12.2 12.3 12.4 12.5 12.6 12.7 12.8 12.9 13.0 13.1 13.2 13.3 13.4 13.5 13.6 13.7 13.8 13.9 14.0 14.1 14.2 14.3 14.4 14.5 14.6 14.7 14.8 14.9 15.0 15.1 15.2 15.3 15.4 15.5 15.6 15.7 15.8 15.9 16.0 16.1 16.2 16.3 16.4 16.5 16.6 16.7 16.8 16.9 17.0 17.1 17.2 17.3 17.4 17.5 17.6 17.7 17.8 17.9 18.0 18.1 18.2 18.3 18.4 18.5 18.6 18.7 18.8 18.9 19.0 19.1 19.2 19.3 19.4 19.5 19.6 19.7 19.8 19.9 20.0 20.1 20.2 20.3 20.4 20.5 20.6 20.7 20.8 20.9 21.0 21.1 21.2 21.3 21.4 21.5 21.6 21.7 21.8 21.9 22.0 22.1 22.2 22.3 22.4 22.5 22.6 22.7 22.8 22.9 23.0 23.1 23.2 23.3 23.4 23.5 23.6 23.7 23.8 23.9 24.0 24.1 24.2 24.3 24.4 24.5 24.6 24.7 24.8 24.9 25.0 25.1 25.2 25.3 25.4 25.5 25.6 25.7 25.8 25.9 26.0 26.1 26.2 26.3 26.4 26.5 26.6 26.7 26.8 26.9 27.0 27.1 27.2 27.3 27.4 27.5 27.6 27.7 27.8 27.9 28.0 28.1 28.2 28.3 28.4 28.5 28.6 28.7 28.8 28.9 29.0 29.1 29.2 29.3 29.4 29.5 29.6 29.7 29.8 29.9 30.0 30.1 30.2 30.3 30.4 30.5 30.6 30.7 30.8 30.9 31.0 31.1 31.2 31.3 31.4 31.5 31.6 31.7 31.8 31.9 32.0 32.1 32.2 32.3 32.4 32.5 32.6 32.7 32.8 32.9 33.0 33.1 33.2 33.3 33.4 33.5 33.6 33.7 33.8 33.9 34.0 34.1 34.2 34.3 34.4 34.5 34.6 34.7 34.8 34.9 35.0 35.1 35.2 35.3 35.4 35.5 35.6 35.7 35.8 35.9 36.0 36.1 36.2 36.3 36.4 36.5 36.6 36.7 36.8 36.9 37.0 37.1 37.2 37.3 37.4 37.5 37.6 37.7 37.8 37.9 38.0 38.1 38.2 38.3 38.4 38.5 38.6 38.7 38.8 38.9 39.0 39.1 39.2 39.3 39.4 39.5 39.6 39.7 39.8 39.9 40.0 40.1 40.2 40.3 40.4 40.5 40.6 40.7 40.8 40.9 41.0 41.1 41.2 41.3 41.4 41.5 41.6 41.7 41.8 41.9 42.0 42.1 42.2 42.3 42.4 42.5 42.6 42.7 42.8 42.9 43.0 43.1 43.2 43.3 43.4 43.5 43.6 43.7 43.8 43.9 44.0 44.1 44.2 44.3 44.4 44.5 44.6 44.7 44.8 44.9 45.0 45.1 45.2 45.3 45.4 45.5 45.6 45.7 45.8 45.9 46.0 46.1 46.2 46.3 46.4 46.5 46.6 46.7 46.8 46.9 47.0 47.1 47.2 47.3 47.4 47.5 47.6 47.7 47.8 47.9 48.0 48.1 48.2 48.3 48.4 48.5 48.6 48.7 48.8 48.9 49.0 49.1 49.2 49.3 49.4 49.5 49.6 49.7 49.8 49.9 50.0 50.1 50.2 50.3 50.4 50.5 50.6 50.7 50.8 50.9 51.0 51.1 51.2 51.3 51.4 51.5 51.6 51.7 51.8 51.9 52.0 52.1 52.2 52.3 52.4 52.5 52.6 52.7 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+++ b/BXNL/simple_BXNL/data/x.d @@ -0,0 +1 @@ +2.0204270547382075 1.3972604937797 0.693255185390483 36.59294402449946 7.018075183201494 0.3368769824829059 diff --git a/BXNL/simple_BXNL/generate_img.py b/BXNL/simple_BXNL/generate_img.py new file mode 100644 index 0000000..ac943f4 --- /dev/null +++ b/BXNL/simple_BXNL/generate_img.py @@ -0,0 +1,75 @@ +import numpy as np +import matplotlib.pyplot as plt +from pathlib import Path + +# Set the print precision +np.set_printoptions(precision=4, suppress=True) + +# Set the data folder path +data_folder = Path("data") + +def read_matrix_file(fname): + with open(data_folder / fname) as fdata: + a = np.array([line.split() for line in fdata], dtype = np.float64) + return a + +# Figure 2 +diameter = read_matrix_file("diameter.d")[0] +density = read_matrix_file("density.d")[0] + +fig = plt.figure() +ax = fig.add_subplot(111) +ax.set_title('PADC etch track diameter histogram', fontsize=16) +ax.set_xlabel('Diameter (nm)') +ax.set_ylabel('Density') +ax.set_xlim(xmin=1, xmax=65) +ax.bar(diameter, density, color='lightsteelblue') +ax.grid() +plt.savefig("./img/fig2.png") +plt.clf() + +# Figure 3 + +dh = read_matrix_file("dh.d")[0] +lopt = read_matrix_file("lopt.d")[0] +gopt = read_matrix_file("gopt.d")[0] +w = read_matrix_file("w.d")[0] + +fig = plt.figure() +ax = fig.add_subplot(111) +ax.set_title('PADC etch track diameter histogram and fit', fontsize=16) +ax.set_xlabel('Diameter (nm)') +ax.set_ylabel('Density') +ax.set_xlim(xmin=1, xmax=65) +ax.bar(diameter, density, color='lightsteelblue') +ax.plot(dh, w, '-', linewidth=3, color='tab:green') +ax.grid() +ax.legend(['Aggregated', 'Measured track diameter density']) +plt.savefig("./img/fig3.png") +plt.clf() + +# Figure 4 +x = read_matrix_file("x.d")[0] +aopt = x[0] +bopt = x[1] +Alopt = x[2] +muopt = x[3] +sigmaopt = x[4] +Agopt = x[5] + +fig = plt.figure() +ax = fig.add_subplot(111) +ax.set_title('PADC etch track diameter histogram unfolding', fontsize=16) +ax.set_xlabel('Diameter (nm)') +ax.set_ylabel('Density') +ax.set_xlim(xmin=1, xmax=65) +ax.bar(diameter, density, color='lightsteelblue') +ax.plot(dh, lopt, '-', linewidth=4, color='tab:red') +ax.plot(dh, gopt, '-', linewidth=4, color='tab:blue') +ax.plot(dh, w, '-', linewidth=3, color='tab:green') +ax.grid() +glab = 'Unfolded Normal($\\mu=%1.2f$, $\\sigma=%1.2f, A=%1.2f$)' % (muopt, sigmaopt, Agopt) +llab = 'Unfolded log-Normal($a=%1.2f$, $b=%1.2f, A=%1.2f$)' % (aopt, bopt, Alopt) +ax.legend([llab, glab, 'Aggregated', 'Measured track diameter density']) +plt.savefig("./img/fig4.png") +plt.clf() diff --git a/BXNL/simple_BXNL/img/fig2.png b/BXNL/simple_BXNL/img/fig2.png new file mode 100644 index 0000000000000000000000000000000000000000..93e189962f60d59dec03fc372240ccc5d8e246eb GIT binary patch literal 22406 zcmdUX2UJyAw(SLDVJsB`C|C*x5D)=DkYE-hC{ePC5+#EKNm`|rilSHXN=79|l^iby zKqN|3G9p=Wj`z>4)xqxSe*OM`e~kY}4Yd?Fcb{|CUTdy7=h`<_j%(UdC@apAUrZ6w;U*M{`mpTb 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b/BXNL/simple_BXNL/source/SimpleBXNL.java @@ -0,0 +1,301 @@ +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RM; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RX; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04GG; +import com.nag.routines.E04.E04GGU; +import com.nag.routines.E04.E04GGV; +import com.nag.routines.E04.E04FFU; + +import java.lang.Math; +import java.util.Arrays; +import java.io.File; +import java.io.IOException; +import java.io.FileWriter; + +public class SimpleBXNL { + + public final static String dataFolder = ".." + File.separator + "data"; + + public static void main(String[] args) { + + int i; + + // problem data + // number of observations + int nres = 64; + // ovservations + int[] diameter = new int[nres]; + for (i = 0; i < nres; i++) { + diameter[i] = i + 1; + } + double[] density = new double[] { 0.0722713864, 0.0575221239, 0.0604719764, 0.0405604720, 0.0317109145, + 0.0309734513, 0.0258112094, 0.0228613569, 0.0213864307, 0.0213864307, 0.0147492625, 0.0213864307, + 0.0243362832, 0.0169616519, 0.0095870206, 0.0147492625, 0.0140117994, 0.0132743363, 0.0147492625, + 0.0140117994, 0.0140117994, 0.0132743363, 0.0117994100, 0.0132743363, 0.0110619469, 0.0103244838, + 0.0117994100, 0.0117994100, 0.0147492625, 0.0110619469, 0.0132743363, 0.0206489676, 0.0169616519, + 0.0169616519, 0.0280235988, 0.0221238938, 0.0235988201, 0.0221238938, 0.0206489676, 0.0228613569, + 0.0184365782, 0.0176991150, 0.0132743363, 0.0132743363, 0.0088495575, 0.0095870206, 0.0073746313, + 0.0110619469, 0.0036873156, 0.0051622419, 0.0058997050, 0.0014749263, 0.0022123894, 0.0029498525, + 0.0014749263, 0.0007374631, 0.0014749263, 0.0014749263, 0.0007374631, 0.0000000000, 0.0000000000, + 0.0000000000, 0.0000000000, 0.0000000000 }; + + // Define iuser and ruser to be passed to the callback functions + int[] iuser = diameter; + double[] ruser = density; + + // Print data to files for creating the figures in the doc + printVectorToFile(diameter, "diameter.d"); + printVectorToFile(density, "density.d"); + + // parameter vector: x = (a, b, Al, mu, sigma, Ag) + int nvar = 6; + + // Initialize the model handle + E04RA e04ra = new E04RA(); + long handle = 0; + int ifail = 0; + e04ra.eval(handle, nvar, ifail); + + handle = e04ra.getHANDLE(); + + // Define a dense nonlinear least-squares objective function + E04RM e04rm = new E04RM(); + ifail = 0; + e04rm.eval(handle, nres, 0, 0, new int[] {}, new int[] {}, ifail); + + // Add weights for each residual + double[] weights = new double[nres]; + Arrays.fill(weights, 1.0); + for (i = 55; i < 63; i++) { + weights[i] = 5.0; + } + double weights_sum = Arrays.stream(weights).sum(); + for (i = 0; i < weights.length; i++) { + weights[i] /= weights_sum; + } + + // Define the reliability of the measurements (weights) + E04RX e04rx = new E04RX(); + ifail = 0; + e04rx.eval(handle, "RW", 0, weights.length, weights, ifail); + + // Restrict parameter space (0 <= x) + E04RH e04rh = new E04RH(); + double[] bl = new double[nvar]; + double[] bu = new double[nvar]; + Arrays.fill(bu, 100.0); + ifail = 0; + e04rh.eval(handle, nvar, bl, bu, ifail); + + // Set some optional parameters to control the output of the solver + E04ZM e04zm = new E04ZM(); + ifail = 0; + + e04zm.eval(handle, "Print Options = NO", ifail); + e04zm.eval(handle, "Print Level = 1", ifail); + e04zm.eval(handle, "Print Solution = X", ifail); + e04zm.eval(handle, "Bxnl Iteration Limit = 100", ifail); + // Add cubic regularization term (avoid overfitting) + e04zm.eval(handle, "Bxnl Use weights = YES", ifail); + e04zm.eval(handle, "Bxnl Reg Order = 3", ifail); + e04zm.eval(handle, "Bxnl Glob Method = REG", ifail); + + // Define initial guess (starting point) + double[] x = new double[] { 1.63, 0.88, 1.0, 30, 1.52, 0.24 }; + + // Call the solver + E04GG e04gg = new E04GG(); + LSQFUN lsqfun = new LSQFUN(); + LSQGRD lsqgrd = new LSQGRD(); + LSQHES lsqhes = new LSQHES(); + LSQHPRD lsqhprd = new LSQHPRD(); + MONIT monit = new MONIT(); + double[] rx = new double[nres]; + double[] rinfo = new double[100]; + double[] stats = new double[100]; + long cpuser = 0; + ifail = 0; + + e04gg.eval(handle, lsqfun, lsqgrd, lsqhes, lsqhprd, monit, nvar, x, nres, rx, rinfo, stats, iuser, ruser, + cpuser, ifail); + + System.out.println(); + + // Optimal parameter values + // Al * log-Normal(a, b): + double aopt = x[0]; + double bopt = x[1]; + double Alopt = x[2]; + + // Ag * gaussian(mu, sigma): + double muopt = x[3]; + double sigmaopt = x[4]; + double Agopt = x[5]; + + // objective function value + System.out.println("Objective Function Value: " + rinfo[0]); + + // Print data to files for creating the figures in the doc + double[] dh = new double[10 * nres + 8]; + for (i = 0; i < dh.length; i++) { + dh[i] = (i + 1) / 10.0; + } + double[] lopt = lognormal(dh, aopt, bopt, Alopt); + double[] gopt = gaussian(dh, muopt, sigmaopt, Agopt); + double[] w = new double[lopt.length]; + for (i = 0; i < w.length; i++) { + w[i] = lopt[i] + gopt[i]; + } + printVectorToFile(dh, "dh.d"); + printVectorToFile(lopt, "lopt.d"); + printVectorToFile(gopt, "gopt.d"); + printVectorToFile(w, "w.d"); + printVectorToFile(x, "x.d"); + + // Destroy the handle: + E04RZ e04rz = new E04RZ(); + ifail = 0; + e04rz.eval(handle, ifail); + } + + // Define Normal and log-Normal distributions + public static double lognormal(int d, double a, double b, double Al) { + return Al / (d * b * Math.sqrt(2 * Math.PI)) * Math.exp(-(Math.pow(Math.log(d) - a, 2)) / (2 * Math.pow(b, 2))); + } + + public static double gaussian(int d, double mu, double sigma, double Ag) { + return Ag * Math.exp(-0.5 * Math.pow((d - mu) / sigma, 2)) / (sigma * Math.sqrt(2 * Math.PI)); + } + + public static double[] lognormal(double[] d, double a, double b, double Al) { + double[] result = new double[d.length]; + for (int i = 0; i < d.length; i++) { + result[i] = Al / (d[i] * b * Math.sqrt(2 * Math.PI)) * Math.exp(-(Math.pow(Math.log(d[i]) - a, 2)) / (2 * Math.pow(b, 2))); + } + return result; + } + + public static double[] gaussian(double[] d, double mu, double sigma, double Ag) { + double[] result = new double[d.length]; + for (int i = 0; i < d.length; i++) { + result[i] = Ag * Math.exp(-0.5 * Math.pow((d[i] - mu) / sigma, 2)) / (sigma * Math.sqrt(2 * Math.PI)); + } + return result; + } + + // Define the least-square function as a mixture of Normal and log-Normal + // functions. Also add its first derivatives + + /** + * Objective function callback passed to the least squares solver. x = (a, b, + * Al, mu, sigma, Ag) + */ + public static class LSQFUN extends E04GG.Abstract_E04GG_LSQFUN { + public void eval() { + int[] d = this.IUSER; + double[] y = this.RUSER; + double a = this.X[0]; + double b = this.X[1]; + double Al = this.X[2]; + double mu = this.X[3]; + double sigma = this.X[4]; + double Ag = this.X[5]; + + for (int i = 0; i < this.NRES; i++) { + this.RX[i] = lognormal(d[i], a, b, Al) + gaussian(d[i], mu, sigma, Ag) - y[i]; + } + } + } + + /** + * Computes the Jacobian of the least square residuals. x = (a, b, Al, mu, + * sigma, Ag) + */ + public static class LSQGRD extends E04GG.Abstract_E04GG_LSQGRD { + public void eval() { + int n = this.X.length; + int[] d = this.IUSER; + double a = this.X[0]; + double b = this.X[1]; + double Al = this.X[2]; + double mu = this.X[3]; + double sigma = this.X[4]; + double Ag = this.X[5]; + for (int i = 0; i < this.NRES; i++) { + // log-Normal derivatives + double l = lognormal(d[i], a, b, Al); + // dl/da + this.RDX[i * n + 0] = (Math.log(d[i]) - a) / Math.pow(b, 2) * l; + // dl/db + this.RDX[i * n + 1] = (Math.pow(Math.log(d[i]) - a, 2) - Math.pow(b, 2)) / Math.pow(b, 3) * l; + // dl/dAl + this.RDX[i * n + 2] = lognormal(d[i], a, b, 1.0); + // Gaussian derivatives + double g = gaussian(d[i], mu, sigma, Ag); + // dg/dmu + this.RDX[i * n + 3] = (d[i] - mu) / Math.pow(sigma, 2) * g; + // dg/dsigma + this.RDX[i * n + 4] = (Math.pow(d[i] - mu, 2) - Math.pow(sigma, 2)) / Math.pow(sigma, 3) * g; + // dg/dAg + this.RDX[i * n + 5] = gaussian(d[i], mu, sigma, 1.0); + } + } + } + + public static class LSQHES extends E04GG.Abstract_E04GG_LSQHES { + public void eval() { + E04GGU e04ggu = new E04GGU(); + e04ggu.eval(this.NVAR, this.X, this.NRES, this.LAMBDA, this.HX, this.INFORM, this.IUSER, this.RUSER, + this.CPUSER); + this.INFORM = e04ggu.getINFORM(); + } + } + + public static class LSQHPRD extends E04GG.Abstract_E04GG_LSQHPRD { + public void eval() { + E04GGV e04ggv = new E04GGV(); + e04ggv.eval(this.NVAR, this.X, this.Y, this.NRES, this.HXY, this.INFORM, this.IUSER, this.RUSER, + this.CPUSER); + this.INFORM = e04ggv.getINFORM(); + } + } + + public static class MONIT extends E04GG.Abstract_E04GG_MONIT { + public void eval() { + E04FFU e04ffu = new E04FFU(); + e04ffu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04ffu.getINFORM(); + } + } + + public static void printVectorToFile(double[] a, String fileName) { + try { + FileWriter writer = new FileWriter(new File(dataFolder + File.separator + fileName)); + for (int i = 0; i < a.length; i++) { + writer.write(a[i] + " "); + } + writer.write("\n"); + writer.close(); + } catch (IOException e) { + System.out.println(e.getMessage()); + e.printStackTrace(); + } + } + + public static void printVectorToFile(int[] a, String fileName) { + try { + FileWriter writer = new FileWriter(new File(dataFolder + File.separator + fileName)); + for (int i = 0; i < a.length; i++) { + writer.write(a[i] + " "); + } + writer.write("\n"); + writer.close(); + } catch (IOException e) { + System.out.println(e.getMessage()); + e.printStackTrace(); + } + } +} From 072689dd35682139461d68c432fc261b0c2c1edd Mon Sep 17 00:00:00 2001 From: Christos Date: Mon, 22 Feb 2021 12:54:15 +0200 Subject: [PATCH 156/196] Fixed BXNL doc --- BXNL/Readme.md | 51 ++++++++++++++++++++++---------------- BXNL/simple_BXNL/Readme.md | 10 ++++---- 2 files changed, 34 insertions(+), 27 deletions(-) diff --git a/BXNL/Readme.md b/BXNL/Readme.md index 4b21542..12efd71 100644 --- a/BXNL/Readme.md +++ b/BXNL/Readme.md @@ -8,8 +8,7 @@ # Nonlinear Least-Squares Trust-Region Method (BXNL) -[ [`e04ggf`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04ggf.html) | -[`e04ggc`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/clhtml/e04/e04ggc.html) | [`handle_solve_bxnl`](https://www.nag.co.uk/numeric/py/nagdoc_latest/naginterfaces.library.opt.html#naginterfaces.library.opt.handle_solve_bxnl) ] +[ [`e04ggf`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04ggf.html) | [`e04ggc`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/clhtml/e04/e04ggc.html) | [`handle_solve_bxnl`](https://www.nag.co.uk/numeric/py/nagdoc_latest/naginterfaces.library.opt.html#naginterfaces.library.opt.handle_solve_bxnl) ] Data fitting and calibrating parameters of complex numerical models is one of the most common problems found in numerous industries such as physics, space exploration, simulations, engineering, amongs many others. @@ -20,12 +19,14 @@ and is also part of the [NAG Optimization Modelling Suite](https://www.nag.co.uk Figure 1 shows an illustrative simple problem of data fitting ([more details](./orbit_ex/Readme.md)). The task is to find the optimal orbit path given a variety of measurements for which the orbit has to approximatly pass-by. - - - - -
    Optimal orbit from data orbit measurements. - Weighted optimal orbit from data orbit measurements.
    +
    +
    + Optimal orbit from data orbit measurements. +
    +
    + Weighted optimal orbit from data orbit measurements. +
    +
    **Figure 1.** Example of a NLLS orbital data fitting. Given a set of 7 orbital data points the task is to estimate an optimal orbit path that minimizes the error between the path and the fixed data points. For this example assume that expert knowledge provides insight on the reliability of each measument and that for this satellite configuration operational orbit height should around 250 +/-3 units. Center plot shows a simple fit where each measurement (data point) contributes the same amount and provides an optimal orbit height of 238.76 units. The fit is quite poor in the sense that it does not satisfy expert advice. Evidently data point 0 (yellow cross closest to earch surface) unreliablity should be taken into account while doing the fitting. Weights for the residuals should be proportional to the inverse of their variability. For this example suppose we are provided with the accuracy for each of the data measurements, this can be factored using weighted nonlinear least-squares. The rightmost plot shows the weighted optimal solution with orbit height of 254.90 units wich is withing the suggested tolerance. Image credit: [Image of Earth](https://pics.eumetsat.int/viewer/index.html) was taken from [EUMETSAT, Copyright 2020](https://pics.eumetsat.int/viewer/index.html#help). @@ -34,7 +35,7 @@ Figure 1 shows an illustrative simple problem of data fitting ([more details](./ # More Info 1. [BXNL information leaflet](https://www.nag.com/content/faster-data-fitting-solver) 2. [BXNL in the NAG Library for Java](https://www.nag.com/numeric/nl/nagdoc_27.1/flhtml/e04/e04ggf.html) - 3. Examples [[Java example](../simple_examples/source/int32/E04GGJE.java), [C example](https://www.nag.co.uk/numeric/nl/nagdoc_latest/clhtml/e04/e04ggc.html#example), [Fortran example](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04ggf.html#example), [Python example](https://www.nag.co.uk/numeric/py/nagdoc_latest/naginterfaces.library.opt.html#naginterfaces.library.examples.opt.handle_disable_ex.main)] + 3. Examples [[Java example](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/simple_examples/source/int32/E04GGJE.java), [C example](https://www.nag.co.uk/numeric/nl/nagdoc_latest/clhtml/e04/e04ggc.html#example), [Fortran example](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04ggf.html#example), [Python example](https://www.nag.co.uk/numeric/py/nagdoc_latest/naginterfaces.library.opt.html#naginterfaces.library.examples.opt.handle_disable_ex.main)] # Unfolding Nuclear Track Data @@ -53,12 +54,14 @@ using as data the histogram heights. The NLLS solution provides the unfolded parameters for the two distributions (red and blue curves in right plot in Figure 2). Adding these together produces the green curve which is the one used to perform the fitting with. - - - - - -
    PADC etch track diameter histogram unfoldingExperimental histogram of track diameter
    +
    +
    + PADC etch track diameter histogram unfolding +
    +
    + Experimental histogram of track diameter +
    +
    **Figure 2.** Left: example of a PADC target with alpha particle etched tracks, wedges in red show the track diameter. @@ -82,13 +85,17 @@ should present significant improvement for unconstrained or bound-constrained no least-squares solvers in the NAG Library and current users of [`e04gb`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04gbf.html) are highly encourage to try out the new solver. - - - -
    Performance Profile (time:seconds) - Performance Profile (number of function calls) - Performance Profile (number of gradient calls) -
    +
    +
    + Performance Profile (time:seconds) +
    +
    + Performance Profile (number of function calls) +
    +
    + Performance Profile (number of gradient calls) +
    +
    **Figure 3.** Performance profiles comparing solvers e04gg and e04gb over 68 CUTEst unconstrained nonlinear least-squares problems. Performance measure are: time in seconds (left), number of function calls (center) and number of gradient calls diff --git a/BXNL/simple_BXNL/Readme.md b/BXNL/simple_BXNL/Readme.md index c085ea4..71adbed 100644 --- a/BXNL/simple_BXNL/Readme.md +++ b/BXNL/simple_BXNL/Readme.md @@ -68,7 +68,7 @@ using the histogram heights reported in Figure 2.

    -**Figure 2**: Histogram of etched track diameter of $\alpha$ particles. Bar heights are the data that will be fitted unsing the aggregated model $\phi(x, t)$. +**Figure 2**: Histogram of etched track diameter of $$\alpha$$ particles. Bar heights are the data that will be fitted unsing the aggregated model $$\phi(x, t)$$. ```java // Define Normal and log-Normal distributions @@ -97,9 +97,9 @@ using the histogram heights reported in Figure 2. } ``` -In terms of solving this problem, the function to minimize is the sum of residuals using the model $\phi(x;t)$ -and the data pair (`diameter`, `density`). The parameter vector is $x = (a, b, A_l, \mu, \sigma, A_g)$. The next step is to define a function to return the residual vector -$\text{lsqfun}(x) := \big[r_1(x), r_2(x), \dots, r_{n_{\text{res}}}(x)\big]$. +In terms of solving this problem, the function to minimize is the sum of residuals using the model $$\phi(x;t)$$ +and the data pair (`diameter`, `density`). The parameter vector is $$x = (a, b, A_l, \mu, \sigma, A_g)$$. The next step is to define a function to return the residual vector +$$\text{lsqfun}(x) := \big[r_1(x), r_2(x), \dots, r_{n_{\text{res}}}(x)\big]$$. ```java // Define the least-square function as a mixture of Normal and log-Normal @@ -262,7 +262,7 @@ Call the solver 6 0.00000E+00 3.36877E-01 1.00000E+02 ``` -The optimal solution $x$ provides the unfolded parameters for the two distributions, Normal and log-Normal (blue and red curves in Figure 4). Adding these together produces the aggragated curve (shown in color green of Figure 3 and 4) this last one is the one used to perform the fitting with. The optimal solution is +The optimal solution $$x$$ provides the unfolded parameters for the two distributions, Normal and log-Normal (blue and red curves in Figure 4). Adding these together produces the aggragated curve (shown in color green of Figure 3 and 4) this last one is the one used to perform the fitting with. The optimal solution is ```java // Optimal parameter values From ef8bb61366dcb351ba53a54eae2e6d4f2b5b38f9 Mon Sep 17 00:00:00 2001 From: Christos Date: Mon, 22 Feb 2021 13:01:45 +0200 Subject: [PATCH 157/196] Fixed BXNL doc --- BXNL/Readme.md | 16 ++++++++-------- 1 file changed, 8 insertions(+), 8 deletions(-) diff --git a/BXNL/Readme.md b/BXNL/Readme.md index 12efd71..76f332b 100644 --- a/BXNL/Readme.md +++ b/BXNL/Readme.md @@ -8,7 +8,7 @@ # Nonlinear Least-Squares Trust-Region Method (BXNL) -[ [`e04ggf`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04ggf.html) | [`e04ggc`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/clhtml/e04/e04ggc.html) | [`handle_solve_bxnl`](https://www.nag.co.uk/numeric/py/nagdoc_latest/naginterfaces.library.opt.html#naginterfaces.library.opt.handle_solve_bxnl) ] +[[`e04ggf`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04ggf.html) | [`e04ggc`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/clhtml/e04/e04ggc.html) | [`handle_solve_bxnl`](https://www.nag.co.uk/numeric/py/nagdoc_latest/naginterfaces.library.opt.html#naginterfaces.library.opt.handle_solve_bxnl)] Data fitting and calibrating parameters of complex numerical models is one of the most common problems found in numerous industries such as physics, space exploration, simulations, engineering, amongs many others. @@ -21,10 +21,10 @@ Figure 1 shows an illustrative simple problem of data fitting ([more details](./
    - Optimal orbit from data orbit measurements. + Optimal orbit from data orbit measurements.
    - Weighted optimal orbit from data orbit measurements. + Weighted optimal orbit from data orbit measurements.
    @@ -56,10 +56,10 @@ Adding these together produces the green curve which is the one used to perform
    - PADC etch track diameter histogram unfolding + PADC etch track diameter histogram unfolding
    - Experimental histogram of track diameter + Experimental histogram of track diameter
    @@ -87,13 +87,13 @@ are highly encourage to try out the new solver.
    - Performance Profile (time:seconds) + Performance Profile (time:seconds)
    - Performance Profile (number of function calls) + Performance Profile (number of function calls)
    - Performance Profile (number of gradient calls) + Performance Profile (number of gradient calls)
    From 2a581e570496cad8d9a7bb8f1d1f4c0363031291 Mon Sep 17 00:00:00 2001 From: Christos Date: Mon, 22 Feb 2021 13:12:10 +0200 Subject: [PATCH 158/196] Fixed BXNL doc --- BXNL/Readme.md | 11 ++++++++--- 1 file changed, 8 insertions(+), 3 deletions(-) diff --git a/BXNL/Readme.md b/BXNL/Readme.md index 76f332b..bd6ee5d 100644 --- a/BXNL/Readme.md +++ b/BXNL/Readme.md @@ -8,7 +8,7 @@ # Nonlinear Least-Squares Trust-Region Method (BXNL) -[[`e04ggf`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04ggf.html) | [`e04ggc`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/clhtml/e04/e04ggc.html) | [`handle_solve_bxnl`](https://www.nag.co.uk/numeric/py/nagdoc_latest/naginterfaces.library.opt.html#naginterfaces.library.opt.handle_solve_bxnl)] +[[`e04ggf`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04ggf.html), [`e04ggc`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/clhtml/e04/e04ggc.html), [`handle_solve_bxnl`](https://www.nag.co.uk/numeric/py/nagdoc_latest/naginterfaces.library.opt.html#naginterfaces.library.opt.handle_solve_bxnl)] Data fitting and calibrating parameters of complex numerical models is one of the most common problems found in numerous industries such as physics, space exploration, simulations, engineering, amongs many others. @@ -19,14 +19,19 @@ and is also part of the [NAG Optimization Modelling Suite](https://www.nag.co.uk Figure 1 shows an illustrative simple problem of data fitting ([more details](./orbit_ex/Readme.md)). The task is to find the optimal orbit path given a variety of measurements for which the orbit has to approximatly pass-by. -
    + + +
    + Optimal orbit from data orbit measurements. + Weighted optimal orbit from data orbit measurements. +
    **Figure 1.** Example of a NLLS orbital data fitting. Given a set of 7 orbital data points the task is to estimate an optimal orbit path that minimizes the error between the path and the fixed data points. For this example assume that expert knowledge provides insight on the reliability of each measument and that for this satellite configuration operational orbit height should around 250 +/-3 units. Center plot shows a simple fit where each measurement (data point) contributes the same amount and provides an optimal orbit height of 238.76 units. The fit is quite poor in the sense that it does not satisfy expert advice. Evidently data point 0 (yellow cross closest to earch surface) unreliablity should be taken into account while doing the fitting. Weights for the residuals should be proportional to the inverse of their variability. For this example suppose we are provided with the accuracy for each of the data measurements, this can be factored using weighted nonlinear least-squares. The rightmost plot shows the weighted optimal solution with orbit height of 254.90 units wich is withing the suggested tolerance. Image credit: [Image of Earth](https://pics.eumetsat.int/viewer/index.html) was taken from [EUMETSAT, Copyright 2020](https://pics.eumetsat.int/viewer/index.html#help). From 9b6348e34bfc2a53ac89fba454527a623c59196e Mon Sep 17 00:00:00 2001 From: Christos Date: Mon, 22 Feb 2021 13:18:08 +0200 Subject: [PATCH 159/196] Fixed BXNL doc --- BXNL/Readme.md | 41 +++++++++++------------------------------ 1 file changed, 11 insertions(+), 30 deletions(-) diff --git a/BXNL/Readme.md b/BXNL/Readme.md index bd6ee5d..5c5bd27 100644 --- a/BXNL/Readme.md +++ b/BXNL/Readme.md @@ -19,18 +19,9 @@ and is also part of the [NAG Optimization Modelling Suite](https://www.nag.co.uk Figure 1 shows an illustrative simple problem of data fitting ([more details](./orbit_ex/Readme.md)). The task is to find the optimal orbit path given a variety of measurements for which the orbit has to approximatly pass-by. - -
    - Optimal orbit from data orbit measurements. - Weighted optimal orbit from data orbit measurements. + Optimal orbit from data orbit measurements. + Weighted optimal orbit from data orbit measurements.
    **Figure 1.** Example of a NLLS orbital data fitting. @@ -59,14 +50,10 @@ using as data the histogram heights. The NLLS solution provides the unfolded parameters for the two distributions (red and blue curves in right plot in Figure 2). Adding these together produces the green curve which is the one used to perform the fitting with. -
    -
    - PADC etch track diameter histogram unfolding -
    -
    - Experimental histogram of track diameter -
    -
    +
    + PADC etch track diameter histogram unfolding + Experimental histogram of track diameter +
    **Figure 2.** Left: example of a PADC target with alpha particle etched tracks, wedges in red show the track diameter. @@ -90,17 +77,11 @@ should present significant improvement for unconstrained or bound-constrained no least-squares solvers in the NAG Library and current users of [`e04gb`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04gbf.html) are highly encourage to try out the new solver. -
    -
    - Performance Profile (time:seconds) -
    -
    - Performance Profile (number of function calls) -
    -
    - Performance Profile (number of gradient calls) -
    -
    +
    + Performance Profile (time:seconds) + Performance Profile (number of function calls) + Performance Profile (number of gradient calls) +
    **Figure 3.** Performance profiles comparing solvers e04gg and e04gb over 68 CUTEst unconstrained nonlinear least-squares problems. Performance measure are: time in seconds (left), number of function calls (center) and number of gradient calls From 86f00c41c79cafde22275f77b0cdc464d8f0c7de Mon Sep 17 00:00:00 2001 From: Christos Date: Mon, 22 Feb 2021 13:21:40 +0200 Subject: [PATCH 160/196] Fixed BXNL doc --- BXNL/Readme.md | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/BXNL/Readme.md b/BXNL/Readme.md index 5c5bd27..a855dcf 100644 --- a/BXNL/Readme.md +++ b/BXNL/Readme.md @@ -20,8 +20,8 @@ and is also part of the [NAG Optimization Modelling Suite](https://www.nag.co.uk Figure 1 shows an illustrative simple problem of data fitting ([more details](./orbit_ex/Readme.md)). The task is to find the optimal orbit path given a variety of measurements for which the orbit has to approximatly pass-by.
    - Optimal orbit from data orbit measurements. - Weighted optimal orbit from data orbit measurements. + Optimal orbit from data orbit measurements. + Weighted optimal orbit from data orbit measurements.
    **Figure 1.** Example of a NLLS orbital data fitting. @@ -51,8 +51,8 @@ parameters for the two distributions (red and blue curves in right plot in Figur Adding these together produces the green curve which is the one used to perform the fitting with.
    - PADC etch track diameter histogram unfolding - Experimental histogram of track diameter + PADC etch track diameter histogram unfolding + Experimental histogram of track diameter
    **Figure 2.** Left: example of a PADC target with alpha @@ -79,8 +79,8 @@ are highly encourage to try out the new solver.
    Performance Profile (time:seconds) - Performance Profile (number of function calls) - Performance Profile (number of gradient calls) + Performance Profile (number of function calls) + Performance Profile (number of gradient calls)
    **Figure 3.** Performance profiles comparing solvers e04gg and e04gb over 68 CUTEst unconstrained nonlinear least-squares problems. From 1b975c5e7aad6a2d1f2a79c29ccb3799f0f5aa6e Mon Sep 17 00:00:00 2001 From: Christos Date: Mon, 22 Feb 2021 13:25:52 +0200 Subject: [PATCH 161/196] Fixed BXNL doc --- BXNL/Readme.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/BXNL/Readme.md b/BXNL/Readme.md index a855dcf..b3196e3 100644 --- a/BXNL/Readme.md +++ b/BXNL/Readme.md @@ -51,7 +51,7 @@ parameters for the two distributions (red and blue curves in right plot in Figur Adding these together produces the green curve which is the one used to perform the fitting with.
    - PADC etch track diameter histogram unfolding + PADC etch track diameter histogram unfolding Experimental histogram of track diameter
    From 0ba9230a9fbf0f9db3832aecc1d953e1340558ab Mon Sep 17 00:00:00 2001 From: Christos Date: Mon, 22 Feb 2021 13:32:45 +0200 Subject: [PATCH 162/196] Fixed BXNL doc --- BXNL/Readme.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/BXNL/Readme.md b/BXNL/Readme.md index b3196e3..6d25afe 100644 --- a/BXNL/Readme.md +++ b/BXNL/Readme.md @@ -51,7 +51,7 @@ parameters for the two distributions (red and blue curves in right plot in Figur Adding these together produces the green curve which is the one used to perform the fitting with.
    - PADC etch track diameter histogram unfolding + PADC etch track diameter histogram unfolding Experimental histogram of track diameter
    From 29f808d498e08cd77b146714ea970789364c4f75 Mon Sep 17 00:00:00 2001 From: Christos Date: Mon, 22 Feb 2021 15:50:54 +0200 Subject: [PATCH 163/196] Fixed BXNL doc --- BXNL/orbit_ex/Readme.md | 15 +++++++++------ BXNL/orbit_ex/source/OrbitEx.java | 1 + 2 files changed, 10 insertions(+), 6 deletions(-) diff --git a/BXNL/orbit_ex/Readme.md b/BXNL/orbit_ex/Readme.md index 490c12b..9c305de 100644 --- a/BXNL/orbit_ex/Readme.md +++ b/BXNL/orbit_ex/Readme.md @@ -1,7 +1,7 @@ > ## Important Information -> This file has a lot of Latex and GitHub currently cannot render it on Markdown files. You can read all the math clearly as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/opt_imp_vol) or access this as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/opt_imp_vol). +> You can view this page as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/BXNL/orbit_ex) or access this as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/BXNL/orbit_ex). > -> The source of this example can be found [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/opt_imp_vol/impVolDemo.java) and the output [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/opt_imp_vol/output.txt). +> The source of this example can be found [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/BXNL/orbit_ex/source/OrbitEx.java) and the output [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/BXNL/orbit_ex/output.txt). > > See the top directory of this repository for instructions to set up the [NAG Library for Java](https://github.com/numericalalgorithmsgroup/NAGJavaExamples). @@ -23,7 +23,7 @@ Example of a nonlinear least-square orbital data fitting. Given a set of orbital
    - +
    Image credit: [Image of Earth](https://pics.eumetsat.int/viewer/index.html) was taken from [EUMETSAT, Copyright 2020](https://pics.eumetsat.int/viewer/index.html#help). @@ -32,7 +32,9 @@ Image credit: [Image of Earth](https://pics.eumetsat.int/viewer/index.html) was The previous image shows the orbit measurements to which an optimal orbit, `r`, must be estimated. The simple univariate problem to solve is: -![LaTeX equation: min f(x) = sum i=1 to nres of (tr[i]^2 - r^2)^2](img/ltx_optprb.png) +
    + LaTeX equation: min f(x) = sum i=1 to nres of (tr[i]^2 - r^2)^2 +
    Here `tr[i]` contains the squared norm for the measurement point `i`, given by the coordinate pair `(tx[i], ty[i])`. Note that the coordinates for the center of the planet are provided by the vector `cc`. @@ -49,6 +51,7 @@ Here `tr[i]` contains the squared norm for the measurement point `i`, given by t
    ```java + // Define the least-square function and add first derivatives. /** * Objective function call back passed to the least squares solver. Return the * difference between the current estimated radius squared, r^2=x^2 and the @@ -161,7 +164,7 @@ Call the solver
    - +
    Suppose expert knowledge provides insight on the reliability of each measurement and that for this satellite configuration, operational orbit height should be around 250 +/-6 units. The previous image shows a fit where each measurement (data point) contributes the same amount and provides an optimal orbit height of 238.76 units. The fit is quite poor in the sense that it does not satisfy expert advice. Evidently data point 0 (yellow cross closest to Earth surface) is unreliable. Unreliability should be taken into account while doing the fitting. For this end, weights for each residuals are introduced (weights should be set to be proportional to the inverse of their variability). For this example, suppose we are provided with the accuracy for each of the data measurements. @@ -216,7 +219,7 @@ Optimal Orbit Height: 254.90
    - +
    diff --git a/BXNL/orbit_ex/source/OrbitEx.java b/BXNL/orbit_ex/source/OrbitEx.java index 1fc887a..b138f2d 100644 --- a/BXNL/orbit_ex/source/OrbitEx.java +++ b/BXNL/orbit_ex/source/OrbitEx.java @@ -203,6 +203,7 @@ public static void main(String[] args) { e04rz.eval(handle, ifail); } + // Define the least-square function and add first derivatives. /** * Objective function call back passed to the least squares solver. Return the * difference between the current estimated radius squared, r^2=x^2 and the From 282a4716c7dee9e7123346f7a5f4b4e2b8e3ce20 Mon Sep 17 00:00:00 2001 From: Christos Date: Mon, 22 Feb 2021 15:57:53 +0200 Subject: [PATCH 164/196] Fixed BXNL doc --- BXNL/simple_BXNL/Readme.md | 8 ++++++-- 1 file changed, 6 insertions(+), 2 deletions(-) diff --git a/BXNL/simple_BXNL/Readme.md b/BXNL/simple_BXNL/Readme.md index 71adbed..ce4e9cf 100644 --- a/BXNL/simple_BXNL/Readme.md +++ b/BXNL/simple_BXNL/Readme.md @@ -1,6 +1,7 @@ > ## Important Information -> You can view this page as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/opt_imp_vol) or access this as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/opt_imp_vol). +> This file has a lot of Latex and GitHub currently cannot render it on Markdown files. You can read all the math clearly as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/BXNL/simple_BXNL) or access this as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/BXNL/simple_BXNL). > +> The source of this example can be found [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/nearest_correlation_matrices/NcmNag.java) and the output [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/nearest_correlation_matrices/output.txt). > > See the top directory of this repository for instructions to set up the [NAG Library for Java](https://github.com/numericalalgorithmsgroup/NAGJavaExamples). @@ -25,7 +26,10 @@ The following example illustrates the usage of `e04gg` to fit PADC target with $ etched nuclear track data to a convoluted distribution. A target sheet is scanned and track diameters (red wedges in the following Figure 1) are recorded into a histogram and a mixed Normal and log-Normal model is to be fitted to the experimental histogram (see Figure 2). -![PADC](../images/tracks.png) + +
    + PADC +
    **Figure 1**: PADC with etched $$\alpha$$ particle tracks. From cb8ebd452d382ebc729c2008781e597e8585155d Mon Sep 17 00:00:00 2001 From: Christos Date: Mon, 22 Feb 2021 15:59:13 +0200 Subject: [PATCH 165/196] Fixed BXNL doc --- BXNL/simple_BXNL/Readme.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/BXNL/simple_BXNL/Readme.md b/BXNL/simple_BXNL/Readme.md index ce4e9cf..0b3fa0d 100644 --- a/BXNL/simple_BXNL/Readme.md +++ b/BXNL/simple_BXNL/Readme.md @@ -1,7 +1,7 @@ > ## Important Information > This file has a lot of Latex and GitHub currently cannot render it on Markdown files. You can read all the math clearly as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/BXNL/simple_BXNL) or access this as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/BXNL/simple_BXNL). > -> The source of this example can be found [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/nearest_correlation_matrices/NcmNag.java) and the output [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/nearest_correlation_matrices/output.txt). +> The source of this example can be found [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/BXNL/simple_BXNL/source/SimpleBXNL.java) and the output [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/BXNL/simple_BXNL/output.txt). > > See the top directory of this repository for instructions to set up the [NAG Library for Java](https://github.com/numericalalgorithmsgroup/NAGJavaExamples). From 89882f3c9eff4bd7d070c46eeeb2ce907e4290c6 Mon Sep 17 00:00:00 2001 From: Christos Date: Mon, 22 Feb 2021 16:02:00 +0200 Subject: [PATCH 166/196] Fixed BXNL doc --- BXNL/simple_BXNL/Readme.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/BXNL/simple_BXNL/Readme.md b/BXNL/simple_BXNL/Readme.md index 0b3fa0d..4fd5f53 100644 --- a/BXNL/simple_BXNL/Readme.md +++ b/BXNL/simple_BXNL/Readme.md @@ -28,7 +28,7 @@ sheet is scanned and track diameters (red wedges in the following Figure 1) are recorded into a histogram and a mixed Normal and log-Normal model is to be fitted to the experimental histogram (see Figure 2).
    - PADC + PADC
    **Figure 1**: PADC with etched $$\alpha$$ particle tracks. From aca4773eaa4e9b983aa798aa137be33e2e20aca9 Mon Sep 17 00:00:00 2001 From: Christos Date: Mon, 22 Feb 2021 16:09:02 +0200 Subject: [PATCH 167/196] Added link to BXNL example page --- README.md | 1 + 1 file changed, 1 insertion(+) diff --git a/README.md b/README.md index 1d7bda9..e46ac6f 100644 --- a/README.md +++ b/README.md @@ -10,6 +10,7 @@ This repository contains examples and demonstrations using the [NAG Library for * [Nearest Correlation Matrices](./nearest_correlation_matrices) * [Quadratically constrained quadratic programming and its applications in portfolio optimization](./QCQP) * [Fast Implied Volatilities](./opt_imp_vol) +* [Nonlinear Least-Squares Trust-Region Method (BXNL)](./BXNL) ## Examples that ship with the product From 5bd6401b30ee941570c3fea9de2f5b90ce647296 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 23 Feb 2021 11:21:10 +0200 Subject: [PATCH 168/196] Fixed BXNL doc --- BXNL/Readme.md | 1 + 1 file changed, 1 insertion(+) diff --git a/BXNL/Readme.md b/BXNL/Readme.md index 6d25afe..13fd675 100644 --- a/BXNL/Readme.md +++ b/BXNL/Readme.md @@ -33,6 +33,7 @@ Figure 1 shows an illustrative simple problem of data fitting ([more details](./ 2. [BXNL in the NAG Library for Java](https://www.nag.com/numeric/nl/nagdoc_27.1/flhtml/e04/e04ggf.html) 3. Examples [[Java example](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/simple_examples/source/int32/E04GGJE.java), [C example](https://www.nag.co.uk/numeric/nl/nagdoc_latest/clhtml/e04/e04ggc.html#example), [Fortran example](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04ggf.html#example), [Python example](https://www.nag.co.uk/numeric/py/nagdoc_latest/naginterfaces.library.opt.html#naginterfaces.library.examples.opt.handle_disable_ex.main)] + # Unfolding Nuclear Track Data [[More details for this example](./simple_BXNL/Readme.md)] From e83f3d9f8d88011b268f7470c543a5b57a3fb659 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 23 Feb 2021 11:22:54 +0200 Subject: [PATCH 169/196] Fixed BXNL doc --- BXNL/Readme.md | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/BXNL/Readme.md b/BXNL/Readme.md index 13fd675..fa9d723 100644 --- a/BXNL/Readme.md +++ b/BXNL/Readme.md @@ -33,7 +33,8 @@ Figure 1 shows an illustrative simple problem of data fitting ([more details](./ 2. [BXNL in the NAG Library for Java](https://www.nag.com/numeric/nl/nagdoc_27.1/flhtml/e04/e04ggf.html) 3. Examples [[Java example](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/simple_examples/source/int32/E04GGJE.java), [C example](https://www.nag.co.uk/numeric/nl/nagdoc_latest/clhtml/e04/e04ggc.html#example), [Fortran example](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04ggf.html#example), [Python example](https://www.nag.co.uk/numeric/py/nagdoc_latest/naginterfaces.library.opt.html#naginterfaces.library.examples.opt.handle_disable_ex.main)] - +
    + # Unfolding Nuclear Track Data [[More details for this example](./simple_BXNL/Readme.md)] From 3b430a5a0c056d17c0dc22e5b2a7ffc89a9cd74b Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 23 Feb 2021 11:24:08 +0200 Subject: [PATCH 170/196] Fixed BXNL doc --- BXNL/Readme.md | 4 +--- 1 file changed, 1 insertion(+), 3 deletions(-) diff --git a/BXNL/Readme.md b/BXNL/Readme.md index fa9d723..1f8c91c 100644 --- a/BXNL/Readme.md +++ b/BXNL/Readme.md @@ -32,10 +32,8 @@ Figure 1 shows an illustrative simple problem of data fitting ([more details](./ 1. [BXNL information leaflet](https://www.nag.com/content/faster-data-fitting-solver) 2. [BXNL in the NAG Library for Java](https://www.nag.com/numeric/nl/nagdoc_27.1/flhtml/e04/e04ggf.html) 3. Examples [[Java example](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/simple_examples/source/int32/E04GGJE.java), [C example](https://www.nag.co.uk/numeric/nl/nagdoc_latest/clhtml/e04/e04ggc.html#example), [Fortran example](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04ggf.html#example), [Python example](https://www.nag.co.uk/numeric/py/nagdoc_latest/naginterfaces.library.opt.html#naginterfaces.library.examples.opt.handle_disable_ex.main)] - -
    - # Unfolding Nuclear Track Data +

    Unfolding Nuclear Track Data

    [[More details for this example](./simple_BXNL/Readme.md)] From 0979f080b8829cc710f3f84948ca4510959aef35 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 23 Feb 2021 11:25:35 +0200 Subject: [PATCH 171/196] Fixed BXNL doc --- BXNL/Readme.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/BXNL/Readme.md b/BXNL/Readme.md index 1f8c91c..4532989 100644 --- a/BXNL/Readme.md +++ b/BXNL/Readme.md @@ -33,6 +33,8 @@ Figure 1 shows an illustrative simple problem of data fitting ([more details](./ 2. [BXNL in the NAG Library for Java](https://www.nag.com/numeric/nl/nagdoc_27.1/flhtml/e04/e04ggf.html) 3. Examples [[Java example](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/simple_examples/source/int32/E04GGJE.java), [C example](https://www.nag.co.uk/numeric/nl/nagdoc_latest/clhtml/e04/e04ggc.html#example), [Fortran example](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04ggf.html#example), [Python example](https://www.nag.co.uk/numeric/py/nagdoc_latest/naginterfaces.library.opt.html#naginterfaces.library.examples.opt.handle_disable_ex.main)] +
    +

    Unfolding Nuclear Track Data

    [[More details for this example](./simple_BXNL/Readme.md)] From 9be94fbda6a5dc4a68b68d9a6d8645698deb3f92 Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Thu, 29 Apr 2021 11:41:22 +0100 Subject: [PATCH 172/196] Simple Examples Synced --- simple_examples/baseresults/a00aaje.r | 2 +- simple_examples/baseresults/e04kfje.r | 55 ++++++++ simple_examples/baseresults/outputexample.r | 2 +- simple_examples/data/testdir/testtmp2.d | 7 -- simple_examples/data/tmptest.d | 23 ---- simple_examples/source/int32/E04KFJE.java | 133 ++++++++++++++++++++ 6 files changed, 190 insertions(+), 32 deletions(-) create mode 100644 simple_examples/baseresults/e04kfje.r delete mode 100644 simple_examples/data/testdir/testtmp2.d delete mode 100644 simple_examples/data/tmptest.d create mode 100644 simple_examples/source/int32/E04KFJE.java diff --git a/simple_examples/baseresults/a00aaje.r b/simple_examples/baseresults/a00aaje.r index adcba2f..f55ff48 100644 --- a/simple_examples/baseresults/a00aaje.r +++ b/simple_examples/baseresults/a00aaje.r @@ -5,6 +5,6 @@ Implementation title: Linux, 64-bit, Intel C/C++ (32-bit integers) Precision: double precision Product Code: CLL6I262CL - Mark: 27.2.0 (self-contained) + Mark: 27.3.0 (self-contained) *** End of NAG Library implementation details *** diff --git a/simple_examples/baseresults/e04kfje.r b/simple_examples/baseresults/e04kfje.r new file mode 100644 index 0000000..421d894 --- /dev/null +++ b/simple_examples/baseresults/e04kfje.r @@ -0,0 +1,55 @@ + E04KFJ Example Program Results + + E04KF, First order method for bound-constrained problems + Begin of Options + Print File = 6 * d + Print Level = 1 * U + Print Options = Yes * d + Print Solution = All * U + Monitoring File = 9 * U + Monitoring Level = 3 * U + Foas Monitor Frequency = 0 * d + Foas Print Frequency = 5 * U + + Infinite Bound Size = 1.00000E+20 * d + Task = Minimize * d + Stats Time = No * d + Time Limit = 1.00000E+06 * d + Verify Derivatives = No * d + + Foas Estimate Derivatives = No * d + Foas Finite Diff Interval = 1.05367E-08 * d + Foas Iteration Limit = 10000000 * d + Foas Memory = 11 * d + Foas Progress Tolerance = 1.08158E-12 * d + Foas Rel Stop Tolerance = 1.08158E-12 * d + Foas Restart Factor = 6.00000E+00 * d + Foas Slow Tolerance = 1.01316E-02 * d + Foas Stop Tolerance = 1.00000E-06 * d + Foas Tolerance Norm = Infinity * d + End of Options + + + Status: converged, an optimal solution was found + Value of the objective 4.00000E-02 + Norm of inactive gradient 0.00000E+00 + Norm of projected direction 0.00000E+00 + + Primal variables: + idx Lower bound Value Upper bound + 1 -1.00000E+00 8.00000E-01 8.00000E-01 + 2 -2.00000E+00 6.40000E-01 2.00000E+00 + + Box bounds dual variables: + idx Lower bound Value Upper bound Value + 1 -1.00000E+00 0.00000E+00 8.00000E-01 4.00000E-01 + 2 -2.00000E+00 0.00000E+00 2.00000E+00 0.00000E+00 + + + Solution found: + Objective function value at solution: 4.0E-02 + Gradient at solution: -4.0E-01 0.0E+00 + + Estimated Lagrange multipliers: blx 0.0E+00 0.0E+00 + Estimated Lagrange multipliers: bux 4.0E-01 0.0E+00 + diff --git a/simple_examples/baseresults/outputexample.r b/simple_examples/baseresults/outputexample.r index 76fc07e..9794ff3 100644 --- a/simple_examples/baseresults/outputexample.r +++ b/simple_examples/baseresults/outputexample.r @@ -3,7 +3,7 @@ Implementation title: Linux, 64-bit, Intel C/C++ or Intel Fortran Precision: double precision Product Code: NLL6I27DBL - Mark: 27.2.0 (self-contained) + Mark: 27.3.0 (self-contained) This is a 64-bit library using 32-bit integers. diff --git a/simple_examples/data/testdir/testtmp2.d b/simple_examples/data/testdir/testtmp2.d deleted file mode 100644 index 1cc90f5..0000000 --- a/simple_examples/data/testdir/testtmp2.d +++ /dev/null @@ -1,7 +0,0 @@ -Dummy test file 2 -S17DGF Example Program Data - 'F' ( 0.3, 0.4) 'U' - 'F' ( 0.2, 0.0) 'U' - 'F' ( 1.1, -6.6) 'U' - 'F' ( 1.1, -6.6) 'S' - 'D' (-1.0, 0.0) 'U' diff --git a/simple_examples/data/tmptest.d b/simple_examples/data/tmptest.d deleted file mode 100644 index 6328091..0000000 --- a/simple_examples/data/tmptest.d +++ /dev/null @@ -1,23 +0,0 @@ -Dummy test file -E04TCJ Example Program Data -30 : nres --1.0000000000000000E+00 -9.3103448275862066E-01 -8.6206896551724133E-01 --7.9310344827586210E-01 -7.2413793103448276E-01 -6.5517241379310343E-01 --5.8620689655172420E-01 -5.1724137931034486E-01 -4.4827586206896552E-01 --3.7931034482758619E-01 -3.1034482758620685E-01 -2.4137931034482762E-01 --1.7241379310344829E-01 -1.0344827586206895E-01 -3.4482758620689724E-02 - 3.4482758620689724E-02 1.0344827586206895E-01 1.7241379310344818E-01 - 2.4137931034482762E-01 3.1034482758620685E-01 3.7931034482758630E-01 - 4.4827586206896552E-01 5.1724137931034475E-01 5.8620689655172420E-01 - 6.5517241379310343E-01 7.2413793103448265E-01 7.9310344827586210E-01 - 8.6206896551724133E-01 9.3103448275862055E-01 1.0000000000000000E+00 : x --4.7355262950125371E-01 -5.4938194860076961E-01 -3.9825239170869919E-01 --3.8856020837234490E-01 -5.5342876546898057E-01 -4.9096203345353551E-01 --5.3572741683518588E-01 -4.7612745760879621E-01 -5.3500371923553647E-01 - 6.0158102095753345E-01 -5.8735647599146978E-01 -4.4672492128166008E-01 --2.8302528479868733E-01 -3.0311152621895832E-01 -4.1648482978955480E-02 - 3.7631282343379285E-02 1.6504195889737350E-01 5.1964885199180544E-01 - 5.4702301251386876E-01 -4.4537928919142311E-01 5.9042453784268267E-01 - 6.9016702395652996E-01 6.9143394337665087E-01 7.8263998594593021E-01 - 8.1261679746103432E-01 7.5887968830904762E-01 9.5316846217349571E-01 - 1.1014159319048389E+00 1.0675894279571976E+00 1.1538027971634699E+00 : obs diff --git a/simple_examples/source/int32/E04KFJE.java b/simple_examples/source/int32/E04KFJE.java new file mode 100644 index 0000000..6aa9f92 --- /dev/null +++ b/simple_examples/source/int32/E04KFJE.java @@ -0,0 +1,133 @@ +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04RG; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04KF; +import com.nag.routines.E04.E04KFU; +import com.nag.routines.E04.E04RX; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.X04.X04AC; + +import java.lang.Math; + +/** + * E04KF example program text. + */ +public class E04KFJE { + + private static final int NMONIT = 9; + private static final int NVAR = 2; + + public static void main(String[] args) { + + long cpuser = 0; + int nu = 2 * NVAR; + + /* Header */ + System.out.println(" E04KFJ Example Program Results\n"); + + // Define filename for monitoring output + X04AC x04ac = new X04AC(); + int ifail = 0; + x04ac.eval(NMONIT, "e04kffe.mon", 1, ifail); + + // Initialize handle + E04RA e04ra = new E04RA(); + long handle = 0; + ifail = 0; + e04ra.eval(handle, NVAR, ifail); + handle = e04ra.getHANDLE(); + + // Define initial guess point + double[] x = new double[] { -1.5, 1.9 }; + + // Define Simple box bounds on X + E04RH e04rh = new E04RH(); + double[] blx = new double[] { -1.0, -2.0 }; + double[] bux = new double[] { 0.8, 2.0 }; + ifail = 0; + e04rh.eval(handle, NVAR, blx, bux, ifail); + + // Add nonlinear objective information + E04RG e04rg = new E04RG(); + int iidx[] = new int[NVAR]; + for (int i = 0; i < NVAR; i++) + iidx[i] = i + 1; + ifail = 0; + e04rg.eval(handle, NVAR, iidx, ifail); + + // Add options + E04ZM e04zm = new E04ZM(); + ifail = 0; + e04zm.eval(handle, "FOAS Print Frequency = 5", ifail); + + ifail = 0; + e04zm.eval(handle, "Print Solution = yes", ifail); + + ifail = 0; + e04zm.eval(handle, "Print Level = 1", ifail); + + ifail = 0; + e04zm.eval(handle, "Monitoring File = " + NMONIT, ifail); + + ifail = 0; + e04zm.eval(handle, "Monitoring Level = 3", ifail); + + // Solve the problem + E04KF e04kf = new E04KF(); + OBJFUN objfun = new OBJFUN(); + OBJGRD objgrd = new OBJGRD(); + MONIT monit = new MONIT(); + double[] rinfo = new double[100]; + double[] stats = new double[100]; + int[] iuser = new int[0]; + double[] ruser = new double[0]; + ifail = -1; + e04kf.eval(handle, objfun, objgrd, monit, NVAR, x, rinfo, stats, iuser, ruser, cpuser, ifail); + + ifail = e04kf.getIFAIL(); + + // Print objective value at solution + if ((ifail == 0) || (ifail == 50)) { + System.out.printf("\n\n Solution found:\n Objective function value at solution: %9.1E\n", rinfo[0]); + // Retrieve Lagrange multipliers (FDX) + E04RX e04rx = new E04RX(); + double[] u = new double[nu]; + e04rx.eval(handle, "U", 1, nu, u, ifail); + if (ifail == 0) { + System.out.printf(" Gradient at solution: %9.1E %9.1E\n\n", u[0] - u[1], u[2] - u[3]); + System.out.printf(" Estimated Lagrange multipliers: blx %9.1E %9.1E\n", u[0], u[2]); + System.out.printf(" Estimated Lagrange multipliers: bux %9.1E %9.1E\n", u[1], u[3]); + } + } + + System.out.println(); + + // Clean up + E04RZ e04rz = new E04RZ(); + ifail = 0; + e04rz.eval(handle, ifail); + } + + public static class OBJFUN extends E04KF.Abstract_E04KF_OBJFUN { + public void eval() { + // Rosenbrock function + this.FX = Math.pow(1.0 - this.X[0], 2) + 100.0 * Math.pow(this.X[1] - Math.pow(this.X[0], 2), 2); + } + } + + public static class OBJGRD extends E04KF.Abstract_E04KF_OBJGRD { + public void eval() { + this.FDX[0] = 2.0 * this.X[0] - 400.0 * this.X[0] * (this.X[1] - Math.pow(this.X[0], 2)) - 2.0; + this.FDX[1] = 200.0 * (this.X[1] - Math.pow(this.X[0], 2)); + } + } + + public static class MONIT extends E04KF.Abstract_E04KF_MONIT { + public void eval() { + E04KFU e04kfu = new E04KFU(); + e04kfu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04kfu.getINFORM(); + } + } +} From be7c9a057db35c3eef03cf1175029bb97388d864 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 4 May 2021 15:20:05 +0300 Subject: [PATCH 173/196] Added new FOAS example --- FOAS/Readme.md | 79 +++++ FOAS/example/Readme.md | 301 ++++++++++++++++++ FOAS/example/Rosenbrock2d.java | 247 ++++++++++++++ FOAS/example/data/X.d | 101 ++++++ FOAS/example/data/Y.d | 101 ++++++ FOAS/example/data/bl.d | 1 + FOAS/example/data/box.d | 2 + FOAS/example/data/bu.d | 1 + FOAS/example/data/steps[0].d | 1 + FOAS/example/data/steps[1].d | 1 + FOAS/example/data/steps[2].d | 1 + FOAS/example/data/z_box.d | 1 + FOAS/example/data/z_m.d | 101 ++++++ FOAS/example/generate_img.py | 47 +++ FOAS/example/img/plot.png | Bin 0 -> 113953 bytes FOAS/example/output.txt | Bin 0 -> 20866 bytes FOAS/images/KF_DG_unconst_tokyo_notriv-NF.png | Bin 0 -> 45317 bytes FOAS/images/KF_DG_unconst_tokyo_notriv-NG.png | Bin 0 -> 46913 bytes FOAS/images/KF_DG_unconst_tokyo_notriv-NT.png | Bin 0 -> 45750 bytes FOAS/images/Rosenbrock2dw.png | Bin 0 -> 638792 bytes FOAS/images/animated.gif | Bin 0 -> 841650 bytes FOAS/images/handle_solve_bounds_foas_ex.png | Bin 0 -> 87305 bytes FOAS/migration/Migration_E04DG_E04KF.java | 139 ++++++++ FOAS/migration/Readme.md | 202 ++++++++++++ FOAS/migration/output.txt | Bin 0 -> 6180 bytes README.md | 1 + 26 files changed, 1327 insertions(+) create mode 100644 FOAS/Readme.md create mode 100644 FOAS/example/Readme.md create mode 100644 FOAS/example/Rosenbrock2d.java create mode 100644 FOAS/example/data/X.d create mode 100644 FOAS/example/data/Y.d create mode 100644 FOAS/example/data/bl.d create mode 100644 FOAS/example/data/box.d create mode 100644 FOAS/example/data/bu.d create mode 100644 FOAS/example/data/steps[0].d create mode 100644 FOAS/example/data/steps[1].d create mode 100644 FOAS/example/data/steps[2].d create mode 100644 FOAS/example/data/z_box.d create mode 100644 FOAS/example/data/z_m.d create mode 100644 FOAS/example/generate_img.py create mode 100644 FOAS/example/img/plot.png create mode 100644 FOAS/example/output.txt create mode 100644 FOAS/images/KF_DG_unconst_tokyo_notriv-NF.png create mode 100644 FOAS/images/KF_DG_unconst_tokyo_notriv-NG.png create mode 100644 FOAS/images/KF_DG_unconst_tokyo_notriv-NT.png create mode 100644 FOAS/images/Rosenbrock2dw.png create mode 100644 FOAS/images/animated.gif create mode 100644 FOAS/images/handle_solve_bounds_foas_ex.png create mode 100644 FOAS/migration/Migration_E04DG_E04KF.java create mode 100644 FOAS/migration/Readme.md create mode 100644 FOAS/migration/output.txt diff --git a/FOAS/Readme.md b/FOAS/Readme.md new file mode 100644 index 0000000..0e83ef4 --- /dev/null +++ b/FOAS/Readme.md @@ -0,0 +1,79 @@ +[![NAG Logo](../nag_logo-removebg.png)](https://www.nag.com) + +> ## Important Information +> You can view this page as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/FOAS) or access this as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/FOAS). +> +> See the top directory of this repository for instructions to set up the [NAG Library for Java](https://github.com/numericalalgorithmsgroup/NAGJavaExamples). + +# First-order active-set method (FOAS) +[ [`e04kff`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04kff.html) | +[`e04kfc`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/clhtml/e04/e04kfc.html) | +[`handle_solve_bounds_foas`](https://www.nag.co.uk/numeric/py/nagdoc_latest/naginterfaces.library.opt.html#naginterfaces.library.opt.handle_solve_bounds_foas) ] + +Implementations of first-order methods not only are ubiquitous and have a widespread use, they have also demonstrated to endure the challenges of ever-growing problems sizes imposed by the industry. Most notable are applications in statistics, e.g. parameter calibration for log-linear models, conditional random fields (L2-regularisation) or logistic multi-class regression, amongs many other. First-order methods and the Conjugate Gradient method inparticular have been a research subject for well over 50 years and continue to be improved. + +FOAS is a [first-order nonlinear conjugate method](https://en.wikipedia.org/wiki/Nonlinear_conjugate_gradient_method) for large-scale bound-constrained nonlinear optimization. The solver is ideal for very large problems (tens of thousands or more variables) where the first-order derivatives are available or are relatively _cheap_ to estimate. + +e04kf is also part of the [NAG Optimization Modelling Suite](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04intro.html#optsuite) common handle interface. It offers clarity and consistency of the interface of the solvers within the suite, making it trivial to switch among compatible solvers. + +The following example illustrates the simple usage of FOAS to solve the bound-constrained 2D version of the [Rosenbrock function](https://en.wikipedia.org/wiki/Rosenbrock_function) which is a classical test function to measure and profile performance of solvers. Source of this example is avaible in [Rosenbrock2d.java](example/Rosenbrock2d.java). + +
    + 2D Rosenbrock example + 2D Rosenbrock with bounds +
    + +**Figure 1.** 2D Rosenbrock function, (left) the minimum is shown as a yellow dot at x=(1,1). On the right a bound constrained version showing with a purple dotted line a path towards the constrained solution point on the border. + +# More information + 1. [FOAS information page](https://www.nag.com/content/limited-memory-nonlinear-conjugate-gradient-solver) + 2. [FOAS in the NAG Library](https://www.nag.com/numeric/nl/nagdoc_27.1/flhtml/e04/e04kff.html) + 3. [FOAS documentation page [C]](https://www.nag.co.uk/numeric/nl/nagdoc_latest/clhtml/e04/e04kfc.html) + 4. Examples [ [Java example](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/blob/main/simple_examples/source/int32/E04KFJE.java) | + [C example](https://www.nag.co.uk/numeric/nl/nagdoc_latest/clhtml/e04/e04kfc.html#example) | + [Fortran example](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04kff.html#example) | + [Python example](https://www.nag.co.uk/numeric/py/nagdoc_latest/naginterfaces.library.opt.html#naginterfaces.library.examples.opt.handle_solve_bounds_foas_ex.main) ] + +## A modern replacement for NAG solver [`uncon_conjgrd_comp` (`e04dg`)](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04dgf.html) +One of the main design objectives for `handle_solve_bounds_foas` (`e04kf`) was to provide a modern and attractive replacement for the CG solver `e04dg` introduced in Mark 12. While this solver was targeted for unconstrained NLPs, `e04kf` has been extended with an active-set method in order to solve bound-constrained NLPs. + +More recent and modern methods have been incorporated into `e04kf` making it much faster than `e04dg`. The following Figure 2 reports performance profiles over 114 unconstrained NLP CUTEst problems for both solvers `e04kf` and `e04dg`. Contrasting the three plots, it is evident that the new solver is more efficient in time (40% faster) and in general terms is less expensive: requires less function and gradient evaluations. + +
    + Perf profile e04kf/e04dg time (s) + Perf profile e04kf/e04dg function evaluations + Perf profile e04kf/e04dg gradient evaluations +
    + +**Figure 2.** Performance profiles comparing solvers `e04kf` and `e04dg`. In the time plot on the left, higher line indicates faster solver. For the center and right plots higher line represent less functions (NF) or gradients (NG) calls. For all three plots it can be seen that `e04kf` is 40% faster in time and requires less function and gradient calls. + +## Migrating from Marks 25 and 26 to Mark 27 + +Notes and comments on migrating your code from [`uncon_conjgrd_comp (e04dg)`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04dgf.html) to the new FOAS solver [`handle_solve_bounds_foas`, (`e04kff`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04kff.html), +[`e04kfc`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/clhtml/e04/e04kfc.html)): + + + * [Java](./migration/Migration_E04DG_E04KF.java) + * [Fortran 90](https://www.nag.com/numeric/nl/nagdoc_latest/flhtml/genint/replace.html#e04dgf) + * [C](https://www.nag.com/numeric/nl/nagdoc_latest/clhtml/genint/replace.html#e04dgc) + * [Python](https://github.com/numericalalgorithmsgroup/NAGPythonExamples/blob/master/local_optimization/FOAS/migration/migration_e04dg_e04kf.ipynb) + +## Beale's function +This example compares the steps taken by FOAS and L-BFGS-B 3.0 to find the solution point to [Beale's function](https://en.wikipedia.org/wiki/Test_functions_for_optimization). It is a classic nonconvex test function used to benchmark nonlinear optimization solvers. + +Both solvers are used to find a minimum to the function and are started at the same initial point (2, 2). The following figure shows an animation of the steps taken by each solver to find a minimum to the function. +It illustrates the agressive steps taken by the [Conjugate Gradient method](https://en.wikipedia.org/wiki/Conjugate_gradient_method) compared to the more conservative steps of BFGS. + +
    + Beale function solved using e04kf and L-BFGS-B +
    + +**Figure 3.** Contour plots for Beale's function (thin blue lines), and the steps taken by FOAS (red) and L-BFGS-B 3.0 (blue) to find the minimum of Beale's funtion at (3, 0.5) marked with a magenta star. It can be seen that FOAS by the 8th step provides a reasonable approximation to the solution point while L-BFGS-B is still relatively far from it. + +## References + + * Hager W W and Zhang H (2005) _A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search_. SIAM J. Optim. 16(1) 170–192 + * Hager W W and Zhang H (2006a) _Algorithm 851: CG DESCENT, a Conjugate Gradient Method with Guaranteed Descent_. ACM Trans. Math. Software 32(1) 113–137 + * Hager W W and Zhang H (2006b) _A New Active Set Algorithm for Box Constrained Optimization_. SIAM J. Optim. 17(2) 525–557 + * Hager W W and Zhang H (2013) _The Limited Memory Conjugate Gradient Method_. SIAM J. Optim. 23(4) 2150–2168 + * Nocedal J and Wright S J (2006) _Numerical Optimization_. (2nd Edition) Springer Series in Operations Research, Springer, New York diff --git a/FOAS/example/Readme.md b/FOAS/example/Readme.md new file mode 100644 index 0000000..f14ca33 --- /dev/null +++ b/FOAS/example/Readme.md @@ -0,0 +1,301 @@ +> ## Important Information +> You can view this page as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/FOAS/example) or access this as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/FOAS/example). +> +> The source of this example can be found [here](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/FOAS/example/Rosenbrock2d.java) and the output [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/FOAS/example/output.txt). +> +> See the top directory of this repository for instructions to set up the [NAG Library for Java](https://github.com/numericalalgorithmsgroup/NAGJavaExamples). + +# Rosenbrock function: Bound constrained optimization +First order active set bound-constrained nonlinear programming + +2d Rosenbrock example: This page illustrates the usage of FOAS to solve the bound-constrained 2d Rosenbrock function. There is a plot at the end showing the steps taken by the solver to find the solution point. + +Add objective function, gradient and monitoring callback + +```java +/** + * The objective's function. + */ +public static class OBJFUN extends E04KF.Abstract_E04KF_OBJFUN { + public void eval() { + this.FX = objfunEval(this.X[0], this.X[1]); + } +} + +/** + * The objective's gradient. + */ +public static class OBJGRD extends E04KF.Abstract_E04KF_OBJGRD { + public void eval() { + this.FDX[0] = 2.0 * this.X[0] - 400.0 * this.X[0] * (this.X[1] - Math.pow(this.X[0], 2)) - 2.0; + this.FDX[1] = 200.0 * (this.X[1] - Math.pow(this.X[0], 2)); + } +} + +/** + * The monitor function. + */ +public static class MONIT extends E04KF.Abstract_E04KF_MONIT { + public void eval() { + steps[0].add(this.X[0]); + steps[1].add(this.X[1]); + steps[2].add(this.RINFO[0]); + } +} +``` + +Specify initial guess + +```java +double[] x = new double[] { -1.0, -1.5 }; +``` + +Define the nonlinear objective (add to handle) + +```java +E04RA e04ra = new E04RA(); +E04RG e04rg = new E04RG(); +E04RH e04rh = new E04RH(); +E04ZM e04zm = new E04ZM(); +E04KF e04kf = new E04KF(); + +ifail = 0; +e04ra.eval(handle, nvar, ifail); +handle = e04ra.getHANDLE(); + +ifail = 0; +e04rg.eval(handle, nvar, idxfd, ifail); +``` + +Add the box bounds on the variable x to the handle + +```java +double[] bl = new double[] { -1.0, -2.0 }; +double[] bu = new double[] { 0.8, 2.0 }; +ifail = 0; +e04rh.eval(handle, nvar, bl, bu, ifail); +``` + +Set some algorithmic options + +```java +ifail = 0; +e04zm.eval(handle, "FOAS Print Frequency = 1", ifail); +e04zm.eval(handle, "Print Solution = yes", ifail); +e04zm.eval(handle, "FOAS Monitor Frequency = 1", ifail); +e04zm.eval(handle, "Print Level = 2", ifail); +e04zm.eval(handle, "Monitoring Level = 1", ifail); +``` + +Solve the problem + +```java +OBJFUN objfun = new OBJFUN(); +OBJGRD objgrd = new OBJGRD(); +MONIT monit = new MONIT(); +double[] rinfo = new double[100]; +double[] stats = new double[100]; +int[] iuser = new int[0]; +double[] ruser = new double[0]; +long cpuser = 0; +ifail = 0; +e04kf.eval(handle, objfun, objgrd, monit, nvar, x, rinfo, stats, iuser, ruser, cpuser, ifail); + +// Add last step +steps[0].add(x[0]); +steps[1].add(x[1]); +steps[2].add(rinfo[0]); +``` + +
    + +``` + ---------------------------------------------------------- + E04KF, First order method for bound-constrained problems + ---------------------------------------------------------- + + Begin of Options + Print File = 6 * d + Print Level = 2 * U + Print Options = Yes * d + Print Solution = All * U + Monitoring File = -1 * d + Monitoring Level = 1 * U + Foas Monitor Frequency = 1 * U + Foas Print Frequency = 1 * U + + Infinite Bound Size = 1.00000E+20 * d + Task = Minimize * d + Stats Time = No * d + Time Limit = 1.00000E+06 * d + Verify Derivatives = No * d + + Foas Estimate Derivatives = No * d + Foas Finite Diff Interval = 1.05367E-08 * d + Foas Iteration Limit = 10000000 * d + Foas Memory = 11 * d + Foas Progress Tolerance = 1.08158E-12 * d + Foas Rel Stop Tolerance = 1.08158E-12 * d + Foas Restart Factor = 6.00000E+00 * d + Foas Slow Tolerance = 1.01316E-02 * d + Foas Stop Tolerance = 1.00000E-06 * d + Foas Tolerance Norm = Infinity * d + End of Options + + Problem Statistics + No of variables 2 + free (unconstrained) 0 + bounded 2 + Objective function Nonlinear + + + ------------------------------------------------------------------------------- + iters | objective | optim | dir + ------------------------------------------------------------------------------- + 0 6.29000E+02 5.00E+02 3.50E+00 + 1 6.29000E+02 5.00E+02 3.50E+00 + 2 4.00000E+00 0.00E+00 1.80E+00 + 3 4.00000E+00 0.00E+00 1.80E+00 + 4 3.99156E+00 2.80E+00 2.80E+00 + 5 3.99156E+00 2.80E+00 2.80E+00 + 6 3.98433E+00 1.44E+00 1.44E+00 + 7 3.97076E+00 5.76E+00 1.79E+00 + 8 3.41157E+00 1.66E+01 1.60E+00 + 9 3.15876E+00 2.07E+01 1.65E+00 + 10 2.34744E+00 2.55E+00 2.29E+00 + 11 2.06122E+00 5.09E+00 1.83E+00 + 12 1.97065E+00 6.49E+00 1.88E+00 + 13 1.77751E+00 9.58E+00 1.99E+00 + 14 1.19453E+00 2.20E+00 8.93E-01 + 15 1.12429E+00 2.33E+00 2.01E+00 + 16 1.01998E+00 5.04E+00 2.02E+00 + 17 8.94996E-01 8.97E+00 2.02E+00 + 18 7.06184E-01 1.32E+00 1.10E+00 + 19 5.06340E-01 5.11E+00 1.91E+00 + ------------------------------------------------------------------------------- + iters | objective | optim | dir + ------------------------------------------------------------------------------- + 20 3.21115E-01 1.03E+00 3.67E-01 + 21 2.99551E-01 9.31E-01 9.31E-01 + 22 2.51003E-01 2.68E+00 1.75E+00 + 23 2.14196E-01 4.82E+00 1.66E+00 + 24 1.15236E-01 1.17E+00 3.70E-01 + 25 8.06733E-02 1.98E+00 1.73E+00 + 26 6.60815E-02 4.33E+00 1.79E+00 + 27 5.37636E-02 3.33E+00 1.80E+00 + 28 4.02960E-02 3.44E-01 3.44E-01 + 29 4.02960E-02 3.44E-01 3.44E-01 + 30 4.00937E-02 1.94E-01 1.94E-01 + 31 4.00937E-02 1.94E-01 1.94E-01 + 32 4.00000E-02 0.00E+00 0.00E+00 + ------------------------------------------------------------------------------- + Status: converged, an optimal solution was found + ------------------------------------------------------------------------------- + Value of the objective 4.00000E-02 + Norm of inactive gradient 0.00000E+00 + Norm of projected direction 0.00000E+00 + Iterations 32 + Function evaluations 75 + FD func. evaluations 0 + Gradient evaluations 36 + NPG function calls 18 + NPG gradient calls 3 + CG function calls 9 + CG gradient calls 5 + LCG function calls 48 + LCG gradient calls 28 + ------------------------------------------------------------------------------- + + Primal variables: + idx Lower bound Value Upper bound + 1 -1.00000E+00 8.00000E-01 8.00000E-01 + 2 -2.00000E+00 6.40000E-01 2.00000E+00 + + Box bounds dual variables: + idx Lower bound Value Upper bound Value + 1 -1.00000E+00 0.00000E+00 8.00000E-01 4.00000E-01 + 2 -2.00000E+00 0.00000E+00 2.00000E+00 0.00000E+00 + +``` + +Retrieve Lagrange multipliers + +```java +double[] mult = new double[2 * nvar]; +Arrays.fill(mult, 0.0); + +E04RX e04rx = new E04RX(); +ifail = 0; +e04rx.eval(handle, "Dual Variables", 1, 2 * nvar, mult, ifail); + +double[] mult_t = new double[mult.length / 2]; +for (int i = 0; i < mult.length; i += 2) { + mult_t[i / 2] = mult[i] - mult[i + 1]; +} +``` + +
    + +``` +Lagrange multipliers: [ -0.4 0.0 ] +``` + +Destroy the handle + +```java +E04RZ e04rz = new E04RZ(); +e04rz.eval(handle, ifail); +``` + +Evaluate the funtion over the domain + +```java +double[] x_m = linspace(bl[0] - 0.5, bu[0] + 0.5, 101); +double[] y_m = linspace(bl[1] - 0.5, bu[1] + 0.5, 101); +double[][] z_m = new double[101][101]; + +for (int i = 0; i < 101; i++) { + for (int j = 0; j < 101; j++) { + z_m[i][j] = objfunEval(x_m[i], y_m[i]); + } +} +int inform = 1; + +int nb = 25; +double[] x_box = linspace(bl[0], bu[0], nb); +double[] y_box = linspace(bl[1], bu[1], nb); + +double[][] box = new double[2][100]; + +for (int i = 0; i < nb; i++) { + box[0][i] = x_box[i]; + box[0][nb + i] = bu[0]; + box[0][nb * 2 + i] = x_box[nb - 1 - i]; + box[0][nb * 3 + i] = bl[0]; + + box[1][i] = bl[1]; + box[1][nb + i] = y_box[i]; + box[1][nb * 2 + i] = bu[1]; + box[1][nb * 3 + i] = y_box[nb - 1 - i]; +} + +double[] z_box = new double[box[0].length]; + +for (int i = 0; i < z_box.length; i++) { + z_box[i] = objfunEval(box[0][i], box[1][i]); +} + +double[][] X = new double[x_m.length][x_m.length]; +double[][] Y = new double[y_m.length][y_m.length]; + +for (int i = 0; i < X.length; i++) { + Arrays.fill(X[i], x_m[i]); + Arrays.fill(Y[i], y_m[i]); +} +``` + +Plot function and steps taken + +
    + +
    diff --git a/FOAS/example/Rosenbrock2d.java b/FOAS/example/Rosenbrock2d.java new file mode 100644 index 0000000..0364235 --- /dev/null +++ b/FOAS/example/Rosenbrock2d.java @@ -0,0 +1,247 @@ +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RG; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04KF; +import com.nag.routines.E04.E04RX; +import com.nag.routines.E04.E04RZ; + +import java.lang.Math; +import java.util.ArrayList; +import java.util.Arrays; +import java.util.List; +import java.io.FileWriter; +import java.io.File; +import java.io.FileReader; +import java.io.FileNotFoundException; +import java.io.IOException; + +public class Rosenbrock2d { + + public final static String dataFolder = "data"; + + private static List[] steps = new ArrayList[3]; + + public static void main(String[] args) { + + for (int i = 0; i < steps.length; i++) { + steps[i] = new ArrayList(); + } + + // Specify initial guess + double[] x = new double[] { -1.0, -1.5 }; + + int nvar = x.length; + long handle = 0; + int ifail; + int[] idxfd = new int[nvar]; + for (int i = 0; i < nvar; i++) { + idxfd[i] = i + 1; + } + + E04RA e04ra = new E04RA(); + E04RG e04rg = new E04RG(); + E04RH e04rh = new E04RH(); + E04ZM e04zm = new E04ZM(); + E04KF e04kf = new E04KF(); + + ifail = 0; + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + ifail = 0; + e04rg.eval(handle, nvar, idxfd, ifail); + + double[] bl = new double[] { -1.0, -2.0 }; + double[] bu = new double[] { 0.8, 2.0 }; + ifail = 0; + e04rh.eval(handle, nvar, bl, bu, ifail); + + ifail = 0; + e04zm.eval(handle, "FOAS Print Frequency = 1", ifail); + e04zm.eval(handle, "Print Solution = yes", ifail); + e04zm.eval(handle, "FOAS Monitor Frequency = 1", ifail); + e04zm.eval(handle, "Print Level = 2", ifail); + e04zm.eval(handle, "Monitoring Level = 1", ifail); + + // Solve the problem + OBJFUN objfun = new OBJFUN(); + OBJGRD objgrd = new OBJGRD(); + MONIT monit = new MONIT(); + double[] rinfo = new double[100]; + double[] stats = new double[100]; + int[] iuser = new int[0]; + double[] ruser = new double[0]; + long cpuser = 0; + ifail = 0; + e04kf.eval(handle, objfun, objgrd, monit, nvar, x, rinfo, stats, iuser, ruser, cpuser, ifail); + + // Add last step + steps[0].add(x[0]); + steps[1].add(x[1]); + steps[2].add(rinfo[0]); + + System.out.println(); + + double[] mult = new double[2 * nvar]; + Arrays.fill(mult, 0.0); + + E04RX e04rx = new E04RX(); + ifail = 0; + e04rx.eval(handle, "Dual Variables", 1, 2 * nvar, mult, ifail); + + double[] mult_t = new double[mult.length / 2]; + for (int i = 0; i < mult.length; i += 2) { + mult_t[i / 2] = mult[i] - mult[i + 1]; + } + System.out.print("Lagrange multipliers: [ "); + for (double num : mult_t) { + System.out.print((double) Math.round(num * 10d) / 10d + " "); + } + System.out.println("]"); + + // Destroy the handle + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + + // Evaluate the funtion over the domain + double[] x_m = linspace(bl[0] - 0.5, bu[0] + 0.5, 101); + double[] y_m = linspace(bl[1] - 0.5, bu[1] + 0.5, 101); + double[][] z_m = new double[101][101]; + + for (int i = 0; i < 101; i++) { + for (int j = 0; j < 101; j++) { + z_m[i][j] = objfunEval(x_m[i], y_m[j]); + } + } + int inform = 1; + + int nb = 25; + double[] x_box = linspace(bl[0], bu[0], nb); + double[] y_box = linspace(bl[1], bu[1], nb); + + double[][] box = new double[2][100]; + + for (int i = 0; i < nb; i++) { + box[0][i] = x_box[i]; + box[0][nb + i] = bu[0]; + box[0][nb * 2 + i] = x_box[nb - 1 - i]; + box[0][nb * 3 + i] = bl[0]; + + box[1][i] = bl[1]; + box[1][nb + i] = y_box[i]; + box[1][nb * 2 + i] = bu[1]; + box[1][nb * 3 + i] = y_box[nb - 1 - i]; + } + + double[] z_box = new double[box[0].length]; + + for (int i = 0; i < z_box.length; i++) { + z_box[i] = objfunEval(box[0][i], box[1][i]); + } + + double[][] X = new double[x_m.length][x_m.length]; + double[][] Y = new double[y_m.length][y_m.length]; + + for (int i = 0; i < X.length; i++) { + Arrays.fill(X[i], x_m[i]); + for (int j = 0; j < Y[0].length; j++) + Y[i][j] = y_m[j]; + } + + // Plot + printMatrixToFile(box, "box.d"); + printVectorToFile(z_box, "z_box.d"); + printVectorToFile(bl, "bl.d"); + printVectorToFile(bu, "bu.d"); + printMatrixToFile(X, "X.d"); + printMatrixToFile(Y, "Y.d"); + printMatrixToFile(z_m, "z_m.d"); + printVectorToFile(toArray(steps[0]), "steps[0].d"); + printVectorToFile(toArray(steps[1]), "steps[1].d"); + printVectorToFile(toArray(steps[2]), "steps[2].d"); + } + + /** + * The objective's function. + */ + public static class OBJFUN extends E04KF.Abstract_E04KF_OBJFUN { + public void eval() { + this.FX = objfunEval(this.X[0], this.X[1]); + } + } + + /** + * The objective's gradient. + */ + public static class OBJGRD extends E04KF.Abstract_E04KF_OBJGRD { + public void eval() { + this.FDX[0] = 2.0 * this.X[0] - 400.0 * this.X[0] * (this.X[1] - Math.pow(this.X[0], 2)) - 2.0; + this.FDX[1] = 200.0 * (this.X[1] - Math.pow(this.X[0], 2)); + } + } + + /** + * The monitor function. + */ + public static class MONIT extends E04KF.Abstract_E04KF_MONIT { + public void eval() { + steps[0].add(this.X[0]); + steps[1].add(this.X[1]); + steps[2].add(this.RINFO[0]); + } + } + + private static double objfunEval(double x0, double x1) { + return Math.pow(1 - x0, 2) + 100.0 * Math.pow(x1 - Math.pow(x0, 2), 2); + } + + private static double[] linspace(double startPoint, double endPoint, int length) { + double[] a = new double[length]; + double step = (endPoint - startPoint) / (length - 1); + a[0] = startPoint; + a[length - 1] = endPoint; + for (int i = 1; i < length - 1; i++) { + a[i] = startPoint + i * step; + } + return a; + } + + public static void printMatrixToFile(double[][] a, String fileName) { + try { + FileWriter writer = new FileWriter(new File(dataFolder + File.separator + fileName)); + for (int i = 0; i < a.length; i++) { + for (int j = 0; j < a[0].length; j++) { + writer.write(a[i][j] + " "); + } + 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26.099999999999998 31.44999999999998 37.30000000000007 43.650000000000055 50.50000000000003 57.85 65.69999999999997 diff --git a/FOAS/example/generate_img.py b/FOAS/example/generate_img.py new file mode 100644 index 0000000..30b5bc3 --- /dev/null +++ b/FOAS/example/generate_img.py @@ -0,0 +1,47 @@ +import csv +import numpy as np +import matplotlib.pyplot as plt +from pathlib import Path +from mpl_toolkits.mplot3d import Axes3D +from matplotlib import cm + +# Set the print precision +np.set_printoptions(precision=4, suppress=True) + +# Set the data folder path +data_folder = Path("data") + +def read_matrix_file(fname): + with open(data_folder / fname) as fdata: + a = np.array([line.split() for line in fdata], dtype = np.float64) + return a + +# Data +box = read_matrix_file("box.d") +bl = read_matrix_file("bl.d").transpose().flatten() +bu = read_matrix_file("bu.d").transpose().flatten() +steps0 = read_matrix_file("steps[0].d").transpose().flatten() +steps1 = read_matrix_file("steps[1].d").transpose().flatten() +steps2 = read_matrix_file("steps[2].d").transpose().flatten() +X = read_matrix_file("X.d") +Y = read_matrix_file("Y.d") +z_box = read_matrix_file("z_box.d").transpose().flatten() +z_m = read_matrix_file("z_m.d") + +# Plot +fig = plt.figure() +ax = Axes3D(fig) +ax = fig.gca(projection='3d') +ax.grid(False) +ax.plot(box[0], box[1], z_box, 'k-', linewidth=1.5) +ax.plot([bl[0], bu[0], bu[0], bl[0], bl[0]], [bl[1], bl[1], bu[1], bu[1], bl[1]], -1.2*np.ones(5), 'k-') +ax.contour(X, Y, z_m, 15, offset=-1.2, cmap=cm.jet) +ax.plot_surface(X, Y, z_m, cmap=cm.jet, alpha=0.5) +ax.set_title('Rosenbrock Function') +ax.set_xlabel(r'$\mathit{x}$') +ax.set_ylabel(r'$\mathit{y}$') +ax.plot(steps0, steps1, steps2, 'o-', color='red', markersize=3, linewidth=2) +ax.azim = 160 +ax.elev = 35 +plt.savefig("./img/plot.png") +plt.clf() diff --git a/FOAS/example/img/plot.png b/FOAS/example/img/plot.png new file mode 100644 index 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    2D Rosenbrock example @@ -34,7 +34,7 @@ The following example illustrates the simple usage of FOAS to solve the bound-co [Fortran example](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04kff.html#example) | [Python example](https://www.nag.co.uk/numeric/py/nagdoc_latest/naginterfaces.library.opt.html#naginterfaces.library.examples.opt.handle_solve_bounds_foas_ex.main) ] -## A modern replacement for NAG solver [`uncon_conjgrd_comp` (`e04dg`)](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04dgf.html) +## A modern replacement for NAG solver [uncon_conjgrd_comp (e04dg)](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04dgf.html) One of the main design objectives for `handle_solve_bounds_foas` (`e04kf`) was to provide a modern and attractive replacement for the CG solver `e04dg` introduced in Mark 12. While this solver was targeted for unconstrained NLPs, `e04kf` has been extended with an active-set method in order to solve bound-constrained NLPs. More recent and modern methods have been incorporated into `e04kf` making it much faster than `e04dg`. The following Figure 2 reports performance profiles over 114 unconstrained NLP CUTEst problems for both solvers `e04kf` and `e04dg`. Contrasting the three plots, it is evident that the new solver is more efficient in time (40% faster) and in general terms is less expensive: requires less function and gradient evaluations. @@ -53,7 +53,7 @@ Notes and comments on migrating your code from [`uncon_conjgrd_comp (e04dg)`](ht [`e04kfc`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/clhtml/e04/e04kfc.html)): - * [Java](./migration/Migration_E04DG_E04KF.java) + * [Java](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/FOAS/migration/Migration_E04DG_E04KF.java) * [Fortran 90](https://www.nag.com/numeric/nl/nagdoc_latest/flhtml/genint/replace.html#e04dgf) * [C](https://www.nag.com/numeric/nl/nagdoc_latest/clhtml/genint/replace.html#e04dgc) * [Python](https://github.com/numericalalgorithmsgroup/NAGPythonExamples/blob/master/local_optimization/FOAS/migration/migration_e04dg_e04kf.ipynb) From da8f695a1b1283e63a4d29893bc717263b0794b1 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 4 May 2021 15:38:38 +0300 Subject: [PATCH 175/196] Small doc fixes --- FOAS/example/Readme.md | 6 +++--- FOAS/migration/Readme.md | 8 ++++---- 2 files changed, 7 insertions(+), 7 deletions(-) diff --git a/FOAS/example/Readme.md b/FOAS/example/Readme.md index f14ca33..dca5559 100644 --- a/FOAS/example/Readme.md +++ b/FOAS/example/Readme.md @@ -1,7 +1,7 @@ > ## Important Information > You can view this page as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/FOAS/example) or access this as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/FOAS/example). > -> The source of this example can be found [here](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/FOAS/example/Rosenbrock2d.java) and the output [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/FOAS/example/output.txt). +> The source of this example can be found [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/FOAS/example/Rosenbrock2d.java) and the output [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/FOAS/example/output.txt). > > See the top directory of this repository for instructions to set up the [NAG Library for Java](https://github.com/numericalalgorithmsgroup/NAGJavaExamples). @@ -107,7 +107,7 @@ steps[1].add(x[1]); steps[2].add(rinfo[0]); ``` -
    +
    ``` ---------------------------------------------------------- @@ -234,7 +234,7 @@ for (int i = 0; i < mult.length; i += 2) { } ``` -
    +
    ``` Lagrange multipliers: [ -0.4 0.0 ] diff --git a/FOAS/migration/Readme.md b/FOAS/migration/Readme.md index 9cdd69f..fd7abe9 100644 --- a/FOAS/migration/Readme.md +++ b/FOAS/migration/Readme.md @@ -30,7 +30,7 @@ public static class OBJFUN_E04DG extends E04DG.Abstract_E04DG_OBJFUN { } ``` -
    +
    ```java // Define user call-backs for E04KF @@ -64,7 +64,7 @@ public static class MONIT_E04KF extends E04KF.Abstract_E04KF_MONIT { } ``` -
    +
    ```java // The initial guess @@ -99,7 +99,7 @@ ifail = 0; e04dg.eval(n, objfun_e04dg, iter, objf, objgrd, x, iwork, work, iuser, ruser, lwsav, iwsav, rwsav, ifail); ``` -
    +
    ``` Solution: 1.0000067567705557 1.0000135365609837 @@ -158,7 +158,7 @@ E04RZ e04rz = new E04RZ(); e04rz.eval(handle, ifail); ``` -
    +
    ``` E04KF, First order method for bound-constrained problems From 98390e955c3737fb611cd47d96064dbbc3a26deb Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 4 May 2021 15:44:18 +0300 Subject: [PATCH 176/196] Small doc fixes --- FOAS/Readme.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/FOAS/Readme.md b/FOAS/Readme.md index 4149d65..9dbf96c 100644 --- a/FOAS/Readme.md +++ b/FOAS/Readme.md @@ -53,7 +53,7 @@ Notes and comments on migrating your code from [`uncon_conjgrd_comp (e04dg)`](ht [`e04kfc`](https://www.nag.co.uk/numeric/nl/nagdoc_latest/clhtml/e04/e04kfc.html)): - * [Java](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/FOAS/migration/Migration_E04DG_E04KF.java) + * [Java](./migration) * [Fortran 90](https://www.nag.com/numeric/nl/nagdoc_latest/flhtml/genint/replace.html#e04dgf) * [C](https://www.nag.com/numeric/nl/nagdoc_latest/clhtml/genint/replace.html#e04dgc) * [Python](https://github.com/numericalalgorithmsgroup/NAGPythonExamples/blob/master/local_optimization/FOAS/migration/migration_e04dg_e04kf.ipynb) From 6340c898e2a58063ecfd1058e88a4fcc84503564 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 4 May 2021 15:46:36 +0300 Subject: [PATCH 177/196] Small doc fixes --- FOAS/migration/Readme.md | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/FOAS/migration/Readme.md b/FOAS/migration/Readme.md index fd7abe9..de34858 100644 --- a/FOAS/migration/Readme.md +++ b/FOAS/migration/Readme.md @@ -1,11 +1,11 @@ > ## Important Information > You can view this page as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/FOAS/migration) or access this as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/FOAS/migration). > -> The source of this example can be found [here](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/FOAS/migration/Migration_E04DG_E04KF.java) and the output [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/FOAS/migration/output.txt). +> The source of this example can be found [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/FOAS/migration/Migration_E04DG_E04KF.java) and the output [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/FOAS/migration/output.txt). > > See the top directory of this repository for instructions to set up the [NAG Library for Java](https://github.com/numericalalgorithmsgroup/NAGJavaExamples). -# Migrating from `E04DG` to `E04KF` +# Migrating from E04DG to E04KF This page illustrates the steps required to upgrade from the solver `uncon_conjgrd_comp` (`E04DG`) to `handle_solve_bounds_foas` (`E04KF`) introduced at Mark 27 of the NAG Library. @@ -71,7 +71,7 @@ public static class MONIT_E04KF extends E04KF.Abstract_E04KF_MONIT { double[] x = new double[] { -1.5, 1.9 }; ``` -## Solve the problem with `E04DG` +## Solve the problem with E04DG ```java E04WB e04wb = new E04WB(); @@ -105,7 +105,7 @@ e04dg.eval(n, objfun_e04dg, iter, objf, objgrd, x, iwork, work, iuser, ruser, lw Solution: 1.0000067567705557 1.0000135365609837 ``` -## Now solve with the new solver `E04KF` +## Now solve with the new solver E04KF ```java // Now solve with the new solver E04KF From 6d4382ff183bb2f2316cc314795e0be4018e7831 Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Wed, 5 May 2021 14:33:46 +0100 Subject: [PATCH 178/196] Simple Examples Synced with branch MK27.2 --- simple_examples/baseresults/a00aaje.r | 2 +- simple_examples/baseresults/outputexample.r | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/simple_examples/baseresults/a00aaje.r b/simple_examples/baseresults/a00aaje.r index f55ff48..282acb3 100644 --- a/simple_examples/baseresults/a00aaje.r +++ b/simple_examples/baseresults/a00aaje.r @@ -5,6 +5,6 @@ Implementation title: Linux, 64-bit, Intel C/C++ (32-bit integers) Precision: double precision Product Code: CLL6I262CL - Mark: 27.3.0 (self-contained) + Mark: 27.2.1 (self-contained) *** End of NAG Library implementation details *** diff --git a/simple_examples/baseresults/outputexample.r b/simple_examples/baseresults/outputexample.r index 9794ff3..fd4bc95 100644 --- a/simple_examples/baseresults/outputexample.r +++ b/simple_examples/baseresults/outputexample.r @@ -3,7 +3,7 @@ Implementation title: Linux, 64-bit, Intel C/C++ or Intel Fortran Precision: double precision Product Code: NLL6I27DBL - Mark: 27.3.0 (self-contained) + Mark: 27.2.1 (self-contained) This is a 64-bit library using 32-bit integers. From 929a4ca4c165ce0f6d4b0514b5aa9de937cecdf8 Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Wed, 5 May 2021 14:46:46 +0100 Subject: [PATCH 179/196] Simple Examples Synced with branch MK27.1 --- simple_examples/baseresults/a00aaje.r | 2 +- simple_examples/baseresults/outputexample.r | 2 +- .../source/{int64_unsupported => int64}/A00AAJE.java | 0 .../source/{int64_unsupported => int64}/A00ADJE.java | 0 .../source/{int64_unsupported => int64}/C05AYJE.java | 0 .../source/{int64_unsupported => int64}/C05AZJE.java | 0 .../source/{int64_unsupported => int64}/C05MBJE.java | 0 .../source/{int64_unsupported => int64}/C05QBJE.java | 0 .../source/{int64_unsupported => int64}/D01BDJE.java | 0 .../source/{int64_unsupported => int64}/D02NEJE.java | 0 .../source/{int64_unsupported => int64}/DTFSMJE.java | 0 .../source/{int64_unsupported => int64}/E01DAJE.java | 0 .../source/{int64_unsupported => int64}/E04FCJE.java | 0 .../source/{int64_unsupported => int64}/E04MTJE.java | 0 .../source/{int64_unsupported => int64}/E04NFJE.java | 0 .../source/{int64_unsupported => int64}/E04UCJE.java | 0 .../source/{int64_unsupported => int64}/F02EKJE.java | 0 17 files changed, 2 insertions(+), 2 deletions(-) rename simple_examples/source/{int64_unsupported => int64}/A00AAJE.java (100%) rename simple_examples/source/{int64_unsupported => int64}/A00ADJE.java (100%) rename simple_examples/source/{int64_unsupported => int64}/C05AYJE.java (100%) rename simple_examples/source/{int64_unsupported => int64}/C05AZJE.java (100%) rename simple_examples/source/{int64_unsupported => int64}/C05MBJE.java (100%) rename simple_examples/source/{int64_unsupported => int64}/C05QBJE.java (100%) rename simple_examples/source/{int64_unsupported => int64}/D01BDJE.java (100%) rename simple_examples/source/{int64_unsupported => int64}/D02NEJE.java (100%) rename simple_examples/source/{int64_unsupported => int64}/DTFSMJE.java (100%) rename simple_examples/source/{int64_unsupported => int64}/E01DAJE.java (100%) rename simple_examples/source/{int64_unsupported => int64}/E04FCJE.java (100%) rename simple_examples/source/{int64_unsupported => int64}/E04MTJE.java (100%) rename simple_examples/source/{int64_unsupported => int64}/E04NFJE.java (100%) rename simple_examples/source/{int64_unsupported => int64}/E04UCJE.java (100%) rename simple_examples/source/{int64_unsupported => int64}/F02EKJE.java (100%) diff --git a/simple_examples/baseresults/a00aaje.r b/simple_examples/baseresults/a00aaje.r index 282acb3..f2f68d2 100644 --- a/simple_examples/baseresults/a00aaje.r +++ b/simple_examples/baseresults/a00aaje.r @@ -5,6 +5,6 @@ Implementation title: Linux, 64-bit, Intel C/C++ (32-bit integers) Precision: double precision Product Code: CLL6I262CL - Mark: 27.2.1 (self-contained) + Mark: 27.1.3 (self-contained) *** End of NAG Library implementation details *** diff --git a/simple_examples/baseresults/outputexample.r b/simple_examples/baseresults/outputexample.r index fd4bc95..a692e85 100644 --- a/simple_examples/baseresults/outputexample.r +++ b/simple_examples/baseresults/outputexample.r @@ -3,7 +3,7 @@ Implementation title: Linux, 64-bit, Intel C/C++ or Intel Fortran Precision: double precision Product Code: NLL6I27DBL - Mark: 27.2.1 (self-contained) + Mark: 27.1.3 (self-contained) This is a 64-bit library using 32-bit integers. diff --git a/simple_examples/source/int64_unsupported/A00AAJE.java b/simple_examples/source/int64/A00AAJE.java similarity index 100% rename from simple_examples/source/int64_unsupported/A00AAJE.java rename to simple_examples/source/int64/A00AAJE.java diff --git a/simple_examples/source/int64_unsupported/A00ADJE.java b/simple_examples/source/int64/A00ADJE.java similarity index 100% rename from simple_examples/source/int64_unsupported/A00ADJE.java rename to simple_examples/source/int64/A00ADJE.java diff --git a/simple_examples/source/int64_unsupported/C05AYJE.java b/simple_examples/source/int64/C05AYJE.java similarity index 100% rename from simple_examples/source/int64_unsupported/C05AYJE.java rename to simple_examples/source/int64/C05AYJE.java diff --git a/simple_examples/source/int64_unsupported/C05AZJE.java b/simple_examples/source/int64/C05AZJE.java similarity index 100% rename from simple_examples/source/int64_unsupported/C05AZJE.java rename to simple_examples/source/int64/C05AZJE.java diff --git a/simple_examples/source/int64_unsupported/C05MBJE.java b/simple_examples/source/int64/C05MBJE.java similarity index 100% rename from simple_examples/source/int64_unsupported/C05MBJE.java rename to simple_examples/source/int64/C05MBJE.java diff --git a/simple_examples/source/int64_unsupported/C05QBJE.java b/simple_examples/source/int64/C05QBJE.java similarity index 100% rename from simple_examples/source/int64_unsupported/C05QBJE.java rename to simple_examples/source/int64/C05QBJE.java diff --git a/simple_examples/source/int64_unsupported/D01BDJE.java b/simple_examples/source/int64/D01BDJE.java similarity index 100% rename from simple_examples/source/int64_unsupported/D01BDJE.java rename to simple_examples/source/int64/D01BDJE.java diff --git a/simple_examples/source/int64_unsupported/D02NEJE.java b/simple_examples/source/int64/D02NEJE.java similarity index 100% rename from simple_examples/source/int64_unsupported/D02NEJE.java rename to simple_examples/source/int64/D02NEJE.java diff --git a/simple_examples/source/int64_unsupported/DTFSMJE.java b/simple_examples/source/int64/DTFSMJE.java similarity index 100% rename from simple_examples/source/int64_unsupported/DTFSMJE.java rename to simple_examples/source/int64/DTFSMJE.java diff --git a/simple_examples/source/int64_unsupported/E01DAJE.java b/simple_examples/source/int64/E01DAJE.java similarity index 100% rename from simple_examples/source/int64_unsupported/E01DAJE.java rename to simple_examples/source/int64/E01DAJE.java diff --git a/simple_examples/source/int64_unsupported/E04FCJE.java b/simple_examples/source/int64/E04FCJE.java similarity index 100% rename from simple_examples/source/int64_unsupported/E04FCJE.java rename to simple_examples/source/int64/E04FCJE.java diff --git a/simple_examples/source/int64_unsupported/E04MTJE.java b/simple_examples/source/int64/E04MTJE.java similarity index 100% rename from simple_examples/source/int64_unsupported/E04MTJE.java rename to simple_examples/source/int64/E04MTJE.java diff --git a/simple_examples/source/int64_unsupported/E04NFJE.java b/simple_examples/source/int64/E04NFJE.java similarity index 100% rename from simple_examples/source/int64_unsupported/E04NFJE.java rename to simple_examples/source/int64/E04NFJE.java diff --git a/simple_examples/source/int64_unsupported/E04UCJE.java b/simple_examples/source/int64/E04UCJE.java similarity index 100% rename from simple_examples/source/int64_unsupported/E04UCJE.java rename to simple_examples/source/int64/E04UCJE.java diff --git a/simple_examples/source/int64_unsupported/F02EKJE.java b/simple_examples/source/int64/F02EKJE.java similarity index 100% rename from simple_examples/source/int64_unsupported/F02EKJE.java rename to simple_examples/source/int64/F02EKJE.java From f625b3f043c5c14a88d7ecbc04374acf75d63c82 Mon Sep 17 00:00:00 2001 From: Christos Efstathiou Date: Wed, 5 May 2021 14:48:37 +0100 Subject: [PATCH 180/196] Simple Examples Synced with branch MK27.2 --- simple_examples/baseresults/a00aaje.r | 2 +- simple_examples/baseresults/outputexample.r | 2 +- .../source/{int64 => int64_unsupported}/A00AAJE.java | 0 .../source/{int64 => int64_unsupported}/A00ADJE.java | 0 .../source/{int64 => int64_unsupported}/C05AYJE.java | 0 .../source/{int64 => int64_unsupported}/C05AZJE.java | 0 .../source/{int64 => int64_unsupported}/C05MBJE.java | 0 .../source/{int64 => int64_unsupported}/C05QBJE.java | 0 .../source/{int64 => int64_unsupported}/D01BDJE.java | 0 .../source/{int64 => int64_unsupported}/D02NEJE.java | 0 .../source/{int64 => int64_unsupported}/DTFSMJE.java | 0 .../source/{int64 => int64_unsupported}/E01DAJE.java | 0 .../source/{int64 => int64_unsupported}/E04FCJE.java | 0 .../source/{int64 => int64_unsupported}/E04MTJE.java | 0 .../source/{int64 => int64_unsupported}/E04NFJE.java | 0 .../source/{int64 => int64_unsupported}/E04UCJE.java | 0 .../source/{int64 => int64_unsupported}/F02EKJE.java | 0 17 files changed, 2 insertions(+), 2 deletions(-) rename simple_examples/source/{int64 => int64_unsupported}/A00AAJE.java (100%) rename simple_examples/source/{int64 => int64_unsupported}/A00ADJE.java (100%) rename simple_examples/source/{int64 => int64_unsupported}/C05AYJE.java (100%) rename simple_examples/source/{int64 => int64_unsupported}/C05AZJE.java (100%) rename simple_examples/source/{int64 => int64_unsupported}/C05MBJE.java (100%) rename simple_examples/source/{int64 => int64_unsupported}/C05QBJE.java (100%) rename simple_examples/source/{int64 => int64_unsupported}/D01BDJE.java (100%) rename simple_examples/source/{int64 => int64_unsupported}/D02NEJE.java (100%) rename simple_examples/source/{int64 => int64_unsupported}/DTFSMJE.java (100%) rename simple_examples/source/{int64 => int64_unsupported}/E01DAJE.java (100%) rename simple_examples/source/{int64 => int64_unsupported}/E04FCJE.java (100%) rename simple_examples/source/{int64 => int64_unsupported}/E04MTJE.java (100%) rename simple_examples/source/{int64 => int64_unsupported}/E04NFJE.java (100%) rename simple_examples/source/{int64 => int64_unsupported}/E04UCJE.java (100%) rename simple_examples/source/{int64 => int64_unsupported}/F02EKJE.java (100%) diff --git a/simple_examples/baseresults/a00aaje.r b/simple_examples/baseresults/a00aaje.r index f2f68d2..282acb3 100644 --- a/simple_examples/baseresults/a00aaje.r +++ b/simple_examples/baseresults/a00aaje.r @@ -5,6 +5,6 @@ Implementation title: Linux, 64-bit, Intel C/C++ (32-bit integers) Precision: double precision Product Code: CLL6I262CL - Mark: 27.1.3 (self-contained) + Mark: 27.2.1 (self-contained) *** End of NAG Library implementation details *** diff --git a/simple_examples/baseresults/outputexample.r b/simple_examples/baseresults/outputexample.r index a692e85..fd4bc95 100644 --- a/simple_examples/baseresults/outputexample.r +++ b/simple_examples/baseresults/outputexample.r @@ -3,7 +3,7 @@ Implementation title: Linux, 64-bit, Intel C/C++ or Intel Fortran Precision: double precision Product Code: NLL6I27DBL - Mark: 27.1.3 (self-contained) + Mark: 27.2.1 (self-contained) This is a 64-bit library using 32-bit integers. diff --git a/simple_examples/source/int64/A00AAJE.java b/simple_examples/source/int64_unsupported/A00AAJE.java similarity index 100% rename from simple_examples/source/int64/A00AAJE.java rename to simple_examples/source/int64_unsupported/A00AAJE.java diff --git a/simple_examples/source/int64/A00ADJE.java b/simple_examples/source/int64_unsupported/A00ADJE.java similarity index 100% rename from simple_examples/source/int64/A00ADJE.java rename to simple_examples/source/int64_unsupported/A00ADJE.java diff --git a/simple_examples/source/int64/C05AYJE.java b/simple_examples/source/int64_unsupported/C05AYJE.java similarity index 100% rename from simple_examples/source/int64/C05AYJE.java rename to simple_examples/source/int64_unsupported/C05AYJE.java diff --git a/simple_examples/source/int64/C05AZJE.java b/simple_examples/source/int64_unsupported/C05AZJE.java similarity index 100% rename from simple_examples/source/int64/C05AZJE.java rename to simple_examples/source/int64_unsupported/C05AZJE.java diff --git a/simple_examples/source/int64/C05MBJE.java b/simple_examples/source/int64_unsupported/C05MBJE.java similarity index 100% rename from simple_examples/source/int64/C05MBJE.java rename to simple_examples/source/int64_unsupported/C05MBJE.java diff --git a/simple_examples/source/int64/C05QBJE.java b/simple_examples/source/int64_unsupported/C05QBJE.java similarity index 100% rename from simple_examples/source/int64/C05QBJE.java rename to simple_examples/source/int64_unsupported/C05QBJE.java diff --git a/simple_examples/source/int64/D01BDJE.java b/simple_examples/source/int64_unsupported/D01BDJE.java similarity index 100% rename from simple_examples/source/int64/D01BDJE.java rename to simple_examples/source/int64_unsupported/D01BDJE.java diff --git a/simple_examples/source/int64/D02NEJE.java b/simple_examples/source/int64_unsupported/D02NEJE.java similarity index 100% rename from simple_examples/source/int64/D02NEJE.java rename to simple_examples/source/int64_unsupported/D02NEJE.java diff --git a/simple_examples/source/int64/DTFSMJE.java b/simple_examples/source/int64_unsupported/DTFSMJE.java similarity index 100% rename from simple_examples/source/int64/DTFSMJE.java rename to simple_examples/source/int64_unsupported/DTFSMJE.java diff --git a/simple_examples/source/int64/E01DAJE.java b/simple_examples/source/int64_unsupported/E01DAJE.java similarity index 100% rename from simple_examples/source/int64/E01DAJE.java rename to simple_examples/source/int64_unsupported/E01DAJE.java diff --git a/simple_examples/source/int64/E04FCJE.java b/simple_examples/source/int64_unsupported/E04FCJE.java similarity index 100% rename from simple_examples/source/int64/E04FCJE.java rename to simple_examples/source/int64_unsupported/E04FCJE.java diff --git a/simple_examples/source/int64/E04MTJE.java b/simple_examples/source/int64_unsupported/E04MTJE.java similarity index 100% rename from simple_examples/source/int64/E04MTJE.java rename to simple_examples/source/int64_unsupported/E04MTJE.java diff --git a/simple_examples/source/int64/E04NFJE.java b/simple_examples/source/int64_unsupported/E04NFJE.java similarity index 100% rename from simple_examples/source/int64/E04NFJE.java rename to simple_examples/source/int64_unsupported/E04NFJE.java diff --git a/simple_examples/source/int64/E04UCJE.java b/simple_examples/source/int64_unsupported/E04UCJE.java similarity index 100% rename from simple_examples/source/int64/E04UCJE.java rename to simple_examples/source/int64_unsupported/E04UCJE.java diff --git a/simple_examples/source/int64/F02EKJE.java b/simple_examples/source/int64_unsupported/F02EKJE.java similarity index 100% rename from simple_examples/source/int64/F02EKJE.java rename to simple_examples/source/int64_unsupported/F02EKJE.java From 66ea9d0a228d1cd2c5d85408435b0d02c16ee5e0 Mon Sep 17 00:00:00 2001 From: Caleb Hamilton Date: Mon, 20 Feb 2023 18:21:59 -0600 Subject: [PATCH 181/196] Adding NLDF example images, source code (.java), and Readme --- NLDF/GenDFEx.java | 209 +++++++++++++++++++++ NLDF/Readme.md | 340 +++++++++++++++++++++++++++++++++++ NLDF/images/fig1.pdf | Bin 0 -> 6237 bytes NLDF/images/fig1.png | Bin 0 -> 4137 bytes NLDF/images/fig2.pdf | Bin 0 -> 10318 bytes NLDF/images/fig2.png | Bin 0 -> 8418 bytes NLDF/images/fig3.pdf | Bin 0 -> 10317 bytes NLDF/images/fig3.png | Bin 0 -> 8031 bytes NLDF/images/fig4.pdf | Bin 0 -> 6241 bytes 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100644 index 0000000..20cfd3f --- /dev/null +++ b/NLDF/GenDFEx.java @@ -0,0 +1,209 @@ +import com.nag.routines.E04.E04GN; // nagf_opt_handle_solve_nldf +import com.nag.routines.E04.E04GNU; // monit +import com.nag.routines.E04.E04GNX; // confun dummy +import com.nag.routines.E04.E04GNY; // congrd dummy +import com.nag.routines.E04.E04RA; // Handle init +import com.nag.routines.E04.E04RH; //box bounds +import com.nag.routines.E04.E04RJ; // linear constraints +import com.nag.routines.E04.E04RM; // add model and residual sparsity structure +import com.nag.routines.E04.E04RZ; //destroy handle +import com.nag.routines.E04.E04ZM; // optional parameters + +import java.lang.Math; +import java.util.Arrays; +//import java.io.File; +//import java.io.IOException; +///import java.io.FileWriter; + +public class GenDFEx { + + public static void main (String[] args) { + + E04GN e04gn = new E04GN(); // the solver + E04RA e04ra = new E04RA(); // the handle initializer + E04RM e04rm = new E04RM(); // for setting model and residual sparsity structure + E04ZM e04zm = new E04ZM(); // for setting optional parameters + E04RZ e04rz = new E04RZ(); // handle destroyer + + + MONIT monit = new MONIT(); // defined below using E04GNU + CONFUN confun = new CONFUN(); // defined below using E04GNX (dummy) + CONGRD congrd = new CONGRD(); // defined below using E04GNY (dummy) + + + // Set up data and initial handle parameters + double [] t = linspace(0.5, 2.5, 21); + double [] ruser1 = toydata1(t); // For Example 1 + double [] ruser2 = toydata2(t); // For Example 2 + + double [] x = new double [2]; // instatiate an array for as many variable you need + long handle = 0; + int nvar = x.length; + int ifail; + int nres = t.length; + + // Init for sparsity structure + int isparse = 0; + int nnzrd = 0; + int [] irowrd = new int [nnzrd]; + int [] icolrd = new int [nnzrd]; + + + + // Get handle + ifail = 0; + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + // define the residual functions and sparsity structure + ifail = 0; + e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); + + // Set options + ifail = 0; + e04zm.eval(handle, "NLDF Loss Function Type = L2", ifail); + e04zm.eval(handle, "Print Level = 1", ifail); + e04zm.eval(handle, "Print Options = No", ifail); + e04zm.eval(handle, "Print Solution = Yes", ifail); + + // Initialize all the remaining parameters + LSQFUN lsqfun = new LSQFUN(); + LSQGRD lsqgrd = new LSQGRD(); + double [] rx = new double[nres]; + double [] rinfo = new double[100]; + double [] stats = new double [100]; + int [] iuser = new int[0]; + long cpuser = 0; + + // Solve + System.out.println("\n----Solving Toy Dataset #1 with L2 Loss Function----"); + ifail = 0; + x = init_x(); //give x the initial guess you want to start from + // x will be changed during solve + e04gn.eval(handle, lsqfun, lsqgrd, confun, congrd, monit, nvar, x, nres, rx, rinfo, + stats, iuser, ruser1, cpuser, ifail); + + System.out.println("\n----Solving Toy Dataset #1 with L1 Loss Function----"); + ifail = 0; + x = init_x(); + e04zm.eval(handle, "NLDF Loss Function Type = L1", ifail); + e04gn.eval(handle, lsqfun, lsqgrd, confun, congrd, monit, nvar, x, nres, rx, rinfo, + stats, iuser, ruser1, cpuser, ifail); + + + + // The trade-off of a loss function + // The handle can keep getting used. We are only changing the data passed to the + // solver using ruser2 (first 3 and last 3 data points different from middle) + System.out.println("\n----Solving Toy Dataset #2 with L2 Loss Function----"); + ifail = 0; + x = init_x(); + e04zm.eval(handle, "NLDF Loss Function Type = L2", ifail); + e04gn.eval(handle, lsqfun, lsqgrd, confun, congrd, monit, nvar, x, nres, rx, rinfo, + stats, iuser, ruser2, cpuser, ifail); + + System.out.println("\n----Solving Toy Dataset #2 with L1 Loss Function----"); + ifail = 0; + x = init_x(); + e04zm.eval(handle, "NLDF Loss Function Type = L1", ifail); + e04gn.eval(handle, lsqfun, lsqgrd, confun, congrd, monit, nvar, x, nres, rx, rinfo, + stats, iuser, ruser2, cpuser, ifail); + + System.out.println("\n----Solving Toy Dataset #2 with ATAN Loss Function----"); + ifail = 0; + x = init_x(); + e04zm.eval(handle, "NLDF Loss Function Type = ATAN", ifail); + e04gn.eval(handle, lsqfun, lsqgrd, confun, congrd, monit, nvar, x, nres, rx, rinfo, + stats, iuser, ruser2, cpuser, ifail); + + e04rz.eval(handle,ifail); // destroy the handle + + } + + + private static class LSQFUN extends E04GN.Abstract_E04GN_LSQFUN { + public void eval() { + for(int i = 0; i < NRES; i++){ + this.RX[i] = RUSER[NRES + i] - X[0] * Math.sin(X[1] * RUSER[i]); + } + } + } + + private static class LSQGRD extends E04GN.Abstract_E04GN_LSQGRD { + public void eval() { + for(int i = 0; i < NRES; i++){ + this.RDX[i * NVAR] = (-1 * Math.sin(X[1]*RUSER[i])); + this.RDX[i* NVAR + 1] = (-1 * RUSER[i] * X[0] * Math.cos(X[1] * RUSER[i])); + } + } + } + + // Dummy Functions required for NLDF solver + private static class CONFUN extends E04GNX implements E04GN.E04GN_CONFUN { + public void eval(){ + super.eval(); + } + } + + private static class CONGRD extends E04GNY implements E04GN.E04GN_CONGRD { + public void eval(){ + super.eval(); + } + } + + private static class MONIT extends E04GNU implements E04GN.E04GN_MONIT { + public void eval(){ + super.eval(); + } + } + + // Utilities for setting up data for problem + private static double[] linspace(double startPoint, double endPoint, int length) { + double[] a = new double[length]; + double step = (endPoint - startPoint) / (length - 1); + a[0] = startPoint; + a[length - 1] = endPoint; + for (int i = 1; i < length - 1; i++) { + a[i] = startPoint + i * step; + } + return a; + } + + private static double[] toydata1(double [] t) { + double [] y = new double[t.length * 2]; + for(int i = 0; i < t.length * 2; i++){ + if(i < t.length){ + y[i] = t[i]; + } + else{ + y[i] = Math.sin(t[i-t.length]); + if(i - t.length == 10){ + y[i] = 5 * y[i]; + } + } + } + return y; + } + + private static double[] toydata2(double [] t) { + double [] y = new double[t.length * 2]; + for(int i = 0; i < t.length * 2; i++){ + if(i < t.length){ + y[i] = t[i]; + } + else{ + y[i] = Math.sin(t[i-t.length]); + if((i - t.length >= 3) && (i - t.length < 18)){ + y[i] = 5 * y[i]; + } + } + } + return y; + } + + // For resetting the initial guess + private static double[] init_x() { + double [] x = new double [] {2.1,1.4}; + return x; + } +} \ No newline at end of file diff --git a/NLDF/Readme.md b/NLDF/Readme.md new file mode 100644 index 0000000..b49b75e --- /dev/null +++ b/NLDF/Readme.md @@ -0,0 +1,340 @@ +> ## Important Information +> This file has a lot of Latex and GitHub currently cannot render it on Markdown files. You can read all the math clearly as a [webpage](URL-PLACEHOLDER) or access this as a regular github [repository](URL-PLACEHOLDER). +> +> The source of this example can be found [here](URL-PLACEHOLDER) and the output [here](URL-PLACEHOLDER). +> +> See the top directory of this repository for instructions to set up the [NAG Library for Java](URL-PLACEHOLDER). + +# Loss Function and Robustness in Data-Fitting + +## Technical Setup + +### NAG Library Install + +To run this example, you will need to install the NAG Library (Mark 28.5 or newer) and a license key. You will also need the NAG Library for Java wrappers. You can find the software, wrappers, and request a license key from our website here: [Getting Started with NAG Library](https://www.nag.com/content/getting-started-nag-library) + +### Using These Example Files + +This directory contains a Java source code and a couple images files to help illustrate this example. With NAG Library and wrappers properly installed, the Java file can be compiled and run as it is to produce a data set and execute all the example scenarios described below. + + +## Introduction +Fitting a non-linear model to data is typically modelled as a minimisation problem, where the objective function serves as a measurement of the quality of the model’s fit to data, depending on our parameters. A general model involves summing over our data points, + +$$ +\underset{x \in \mathbb{R}^{n_{\text{var}}}}{\text{minimize}} ~f(x) =\sum_{i=1}^{n_{\text{res}}} \chi(r_i(x)), +$$ + +where $x$ is a vector holding our model parameters, of which there are $n_\text{var}$. We have $n_\text{res}$ data points, and $r_i(x)= y_i - \varphi(t_i;x), \quad i = 1,...,n_\text{res}$ is the $i^{th}$ residual, equal to the difference between the observed and predicted values of the independent variable at time $t_i$, denoted $y_i$ and $\varphi(t_i;x)$ respectively. The loss function $\chi$ has desirable properties such as being bounded from below, and increasing with $|r_i\left(x\right)|$. Summing over all data points then, the objective function will be small when the model fits the whole dataset well, which is what we want. + +There are plenty of choices for function $\chi$, so how does our choice of loss function affect the fit we end up with? One important consideration is robustness. If some of the observed data points are far from the fitted model, how can we control the influence of those outliers? A robust loss function is one which doesn’t get thrown off easily by outliers in the data. + +### Java Imports +The packages we need to import for this example consist entirely of the following. +```java +import com.nag.routines.E04.E04GN; // nagf_opt_handle_solve_nldf +import com.nag.routines.E04.E04GNU; // monit +import com.nag.routines.E04.E04GNX; // confun dummy +import com.nag.routines.E04.E04GNY; // congrd dummy +import com.nag.routines.E04.E04RA; // Handle init +import com.nag.routines.E04.E04RH; //box bounds +import com.nag.routines.E04.E04RJ; // linear constraints +import com.nag.routines.E04.E04RM; // add model and residual sparsity structure +import com.nag.routines.E04.E04RZ; //destroy handle +import com.nag.routines.E04.E04ZM; // optional parameters + +import java.lang.Math; +import java.util.Arrays; +``` + +### Utility Functions and Setup +We need to define a few dummy functions required by the Generalized Data Fitting solver interface +```java +private static class CONFUN extends E04GNX implements E04GN.E04GN_CONFUN { + public void eval(){ + super.eval(); + } +} + +private static class CONGRD extends E04GNY implements E04GN.E04GN_CONGRD { + public void eval(){ + super.eval(); + } +} + +private static class MONIT extends E04GNU implements E04GN.E04GN_MONIT { + public void eval(){ + super.eval(); + } +} +``` + +Inside our 'main', we will initialize all our variables and create our handle. +```java + E04GN e04gn = new E04GN(); // the solver + E04RA e04ra = new E04RA(); // the handle initializer + E04RM e04rm = new E04RM(); // for setting model and residual sparsity structure + E04ZM e04zm = new E04ZM(); // for setting optional parameters + E04RZ e04rz = new E04RZ(); // handle destroyer + + + MONIT monit = new MONIT(); // defined below using E04GNU + CONFUN confun = new CONFUN(); // defined below using E04GNX (dummy) + CONGRD congrd = new CONGRD(); // defined below using E04GNY (dummy) + + double [] x = new double [2]; // instatiate an array for as many variable you need + long handle = 0; + int nvar = x.length; + int ifail; + int nres = t.length; + + // Init for sparsity structure + int isparse = 0; + int nnzrd = 0; + int [] irowrd = new int [nnzrd]; + int [] icolrd = new int [nnzrd]; + + // Get handle + ifail = 0; + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + // define the residual functions and sparsity structure + ifail = 0; + e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); + + // Set options + ifail = 0; + e04zm.eval(handle, "NLDF Loss Function Type = L2", ifail); + e04zm.eval(handle, "Print Level = 1", ifail); + e04zm.eval(handle, "Print Options = No", ifail); + e04zm.eval(handle, "Print Solution = Yes", ifail); + + // Initialize all the remaining parameters + LSQFUN lsqfun = new LSQFUN(); + LSQGRD lsqgrd = new LSQGRD(); + double [] rx = new double[nres]; + double [] rinfo = new double[100]; + double [] stats = new double [100]; + int [] iuser = new int[0]; + long cpuser = 0; +``` + +We also define $t$ as an array of 21 points from $0.5$ to $2.5$. + +## Single-outlier example + +To investigate the robustness aspect, here’s a toy dataset which is generated from $\sin(t)$ and has an outlier at $t=1.5$, which is generated by $5\sin(t)$. + +![toy1](images/fig1.png) + +```java +private static double[] toydata1(double [] t) { + double [] y = new double[t.length * 2]; + for(int i = 0; i < t.length * 2; i++){ + if(i < t.length){ + y[i] = t[i]; + } + else{ + y[i] = Math.sin(t[i-t.length]); + if(i - t.length == 10){ + y[i] = 5 * y[i]; + } + } + } + return y; +} +```` + +We will fit it with a model + +$$ +\varphi(t;x)\ =x_1\sin(x_2t) +$$ + +using a variety of loss functions provided by NAG’s data-fitting solver **handle_solve_nldf** (`e04gn`), which constructs the appropriate objective function for us. + +To set up this model, we must define it and its gradient inside the functions `LSQFUN` and `LSQGRD` +```java +private static class LSQFUN extends E04GN.Abstract_E04GN_LSQFUN { + public void eval() { + for(int i = 0; i < NRES; i++){ + this.RX[i] = RUSER[NRES + i] - X[0] * Math.sin(X[1] * RUSER[i]); + } + } +} + +private static class LSQGRD extends E04GN.Abstract_E04GN_LSQGRD { + public void eval() { + for(int i = 0; i < NRES; i++){ + this.RDX[i * NVAR] = (-1 * Math.sin(X[1]*RUSER[i])); + this.RDX[i* NVAR + 1] = (-1 * RUSER[i] * X[0] * Math.cos(X[1] * RUSER[i])); + } + } +} +``` + +### Start with $l_2$-norm loss function - Example 1 +Starting with one of the most common loss functions, the $l_2$-norm, we form the problem + +$$ +\underset{x \in \mathbb{R}^{2}}{\text{minimize}}~f(x) =\sum_{i=1}^{21} r_i(x)^2 +$$ + +which is just least squares regression. $l_2$-norm loss has low robustness against outliers, so we should expect that the solution will be affected heavily by this one outlier. Let’s solve from a starting point at + +$$ +x\ =\ (2.1,1.4) +$$ + +to see what this outlier does to the minimum. + +For this Java example, we set up a function to reset $x$ variable to the starting point, since it gets passed to the solver and returns the solution. + +```java +private static double[] init_x() { + double [] x = new double [] {2.1,1.4}; + return x; +} +``` +We first set up the options parameter to select the loss function and the printing options. + +Since we already set up the handle and initialized the loss function to $l2$, we can just set our initial guess and solve. + +```java +ifail = 0; +x = init_x(); +e04gn.eval(handle, lsqfun, lsqgrd, confun, congrd, monit, nvar, x, nres, rx, rinfo, + stats, iuser, ruser1, cpuser, ifail); +``` + +This first solve will print out the solution: +``` +E04GN, Nonlinear Data-Fitting +Status: converged, an optimal solution found +Final objective value 1.470963E+01 + +Primal variables: + idx Lower bound Value Upper bound + 1 -inf 1.30111E+00 inf + 2 -inf 1.06956E+00 inf +```` + +And the curve this produces looks like this: + +![L2](images/fig2.png) + +The single outlier was able to disrupt the fit, since $l_2$-norm loss makes outliers contribute heavily to the objective function and search direction. + +### Try $l_1$-norm loss function - Example 2 +Using $l_1$-norm loss gives us the problem + +$$ +\underset{x \in \mathbb{R}^{2}}{\text{minimize}}~f(x) =\sum_{i=1}^{21} |r_i(x)|, +$$ + +which is more robust against outliers. This means if some large portion of the data is well-fitted by some solution $x^\ast$, there is likely to be a local minimum very close to $x^\ast$ which is relatively undisturbed by the remaining data that is outlying to the solution $x^\ast$. Here’s the solution, again starting at $x=(2.1,1.4)$, using $l_1$ loss. + +Now all we need to do is change the loss function parameter, reset $x$, and solve again. +```java +ifail = 0; +x = init_x(); +e04zm.eval(handle, "NLDF Loss Function Type = L1", ifail); +e04gn.eval(handle, lsqfun, lsqgrd, confun, congrd, monit, nvar, x, nres, rx, rinfo, + stats, iuser, ruser1, cpuser, ifail); +``` + +The results of this solve look like this: +``` +E04GN, Nonlinear Data-Fitting +Status: converged, an optimal solution found +Final objective value 3.989980E+00 + +Primal variables: + idx Lower bound Value Upper bound + 1 -inf 1.00000E+00 inf + 2 -inf 1.00000E+00 inf +``` + +![L1](images/fig3.png) + +Clearly, this is a much better fit for most of the data, and the outlier hasn’t dragged the model off most of the data. + +## The trade-off of a loss function + +We can reuse the handle, the residual function (and gradient). Just changing the data and options, we can demonstrate more principles to consider regarding loss functions. + +There is a danger in choosing a very robust loss function. During an iterative optimization process, a loss function which is robust against outliers will usually prefer the data which is close to the current model. This means that if the algorithm finds local minima of the objective function, the search can fall into a local minimum when the model fits some subset of the data very well but fits the majority of the data very badly. + +To illustrate this, here’s a new dataset which we will try to fit with the same model, again starting at $x= (2.1,1.4)$. Most of the data was generated by $5\sin(t)$, with the 3 data points at either end being generated by $\sin(t)$. + +![toy2](images/fig4.png) + +```java +private static double[] toydata2(double [] t) { + double [] y = new double[t.length * 2]; + for(int i = 0; i < t.length * 2; i++){ + if(i < t.length){ + y[i] = t[i]; + } + else{ + y[i] = Math.sin(t[i-t.length]); + if((i - t.length >= 3) && (i - t.length < 18)){ + y[i] = 5 * y[i]; + } + } + } + return y; +} +``` + +We will fit this data set using 3 different loss functions with the same model $\varphi(t;x)$ each time and discuss the results under the plots all at once below. + +```java +ifail = 0; +x = init_x(); +e04zm.eval(handle, "NLDF Loss Function Type = L2", ifail); +e04gn.eval(handle, lsqfun, lsqgrd, confun, congrd, monit, nvar, x, nres, rx, rinfo, + stats, iuser, ruser2, cpuser, ifail); + +ifail = 0; +x = init_x(); +e04zm.eval(handle, "NLDF Loss Function Type = L1", ifail); +e04gn.eval(handle, lsqfun, lsqgrd, confun, congrd, monit, nvar, x, nres, rx, rinfo, + stats, iuser, ruser2, cpuser, ifail); + +ifail = 0; +x = init_x(); +e04zm.eval(handle, "NLDF Loss Function Type = ATAN", ifail); +e04gn.eval(handle, lsqfun, lsqgrd, confun, congrd, monit, nvar, x, nres, rx, rinfo, + stats, iuser, ruser2, cpuser, ifail); +``` + +Here are all the curves plotted together: + +![All](images/fig5.png) + +In the first row of plots, the data is fitted using $l_2$-norm loss, $l_1$-norm loss, and $\arctan$ loss. Shown below each is the contour plot of the objective function value, where the black circles represent the parameters used to generate the data, the cyan circles represents the starting point for the solver, and the cyan wedges represent the optimized solution found by the solver. + +![Contour](images/nldf_contour.png) + +In the $l_2$-norm case in the left column, the outliers generated by $\sin(t)$ have pulled the optimal solution away from $x = (5,1)$. The contour plot for $l_2$-norm loss indicates that we don’t have to worry too much about what starting point to use, since there are no local minima in the region displayed, other than global best solution. + +The behaviour of the solver is quite different when using an extremely robust loss function like $\arctan$ loss, which looks like + +$$ +\underset{x \in \mathbb{R}^{2}}{\text{minimize}} ~ f(x) =\sum_{i=1}^{21} \text{arctan}(r_i(x)^2) +$$ + +The fitted model and corresponding contour plot for the $\arctan$ case are in the middle. Here, there are eight local minima in the contour plot for $\arctan$ loss, with seven of them being substantially worse solutions than the global minimum, and it is one of these we’ve converged to. Therefore, in this case the selection of initial estimation of the parameters is much more important. + +The model fitted with $l_1$-norm loss and the corresponding contour plot are in the right column. Looking at the contour plot, there are still a few local minima that do not correspond to the optimal solution, but the starting point of $x = (2.1,1.4)$ still converges to the global minimum, which lies at +$x = (5,1)$, meaning the part of the dataset generated from $\sin(t)$ is effectively being ignoring. From the plots of the loss functions, we can see that $l_1$-norm loss is more robust than $l_2$-norm loss but less so than $\arctan$ loss. + +So, what has happened in each case is: using $l_2$-norm loss, we move to the global minimum which is affected by the whole dataset. Using $l_1$-norm loss, we move to the global minimum which fits most of the data very well and ignores a small portion, treating them as outliers. Using $\arctan$ loss we move to a local minimum which ignores a large portion of the data (treating them as outliers) and fits a small amount of data very well. + +## Conclusion + +The lesson here is that the same thing that makes a loss function robust – ignoring data that lies far from the current model to some degree – can populate the search space with local minima where the model predicts some of the data well and ignores most of it. In extreme cases like arctan loss, if the starting point fits some of the data very well, the model will likely just be optimized for that portion of the data, even if it is a small portion of the whole dataset. It is therefore important to try a variety of loss functions and stating points when setting up a data-fitting problem, since these will affect both the optimal solution, as well as how easily an optimal solution is found. + +[Learn more about the NAG Library](https://www.nag.com/content/nag-library) \ No newline at end of file diff --git a/NLDF/images/fig1.pdf b/NLDF/images/fig1.pdf new file mode 100644 index 0000000000000000000000000000000000000000..972a0062d4b0f5de91605da667e0209819602c83 GIT binary patch literal 6237 zcmb_h3tWs@8<%ovx={!zZ>ZQV^S+WYRN5HxwK1(Xr+})QEs8=JLjDyQ`!CbeZQ~$Jgw)Uo& z8IxvE*oYLIreO$*hys?=%*_$H3onE(L2%IHhR{7$Meq^24Ugo7i9!$y3mRV-1Q|JU z6YOHh`R*i-SU<7amFS#X^LDKWTIqu_(};Pa-}*j;%ddpC3aabjNTY z)4H#<>1!PkKZNcc$_o+*LlBm9x|egna(*C*u&Kqrz`^7t4POX4 zxYFNF{2&3(S`-5?Kn^AYM{o`Y3UlF!0i$&5G`bsKB8n0R0$sq(_Ui(wM@|uNQJLoK z1z}*X2;DvmD8rT?C<+3)TgVrNkf8`BRVaWgA;o-NI4veCDgCN&+?+A-U2AD{-dJZp z-{@72WwzF{w^cfrj42p1a*V==8LvL}WWUHHx5wuB6y=tipZ&DU?_>e%sIYf!`LAnM 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zr(aP&%fb?Ls~XJB%S-bE?usn!ec+K204j6nF0S=_r4>ZX8v3KjjOj=AVm>Km$0;Db zQz_t>(=3^f?r8^J@u7ra<){iH(for*QY-b{M6QG(3RyuYde8C&kU`M3{+xu7IplIn zui#b{?iZfew;yylGL*~f_ysoe#Q4fff!2Q9vJcvTepKEp%?iJV!Ofrlz} z991V|mVUT6SeOlxLy1wGa?#~Hwrl2ONK?VciV7#e23ZouPw!Qww^7qL)q+!#-OxhI zW#wjv<-8<>IxpaHd%mK12}EmZ3>UIiH=_{euOf*d5>>v1D$jw>pn0a*)TzQ(hF!|r zF{rEDHa4oC%AoCAYMb!j?i;%>Rc>jICJc)#GJ`hFgeM{Ojp^y%ucn#`Pu)#;o^M;z zXP>9xG?21)-UP)t-sziB`+U9AcMGAqZgterddJ?0_o(nn rVNVr%2JuQ^FIViPO|KOG*E@(i>E->8Kj2StSv1 Date: Mon, 20 Feb 2023 18:27:30 -0600 Subject: [PATCH 182/196] Update Readme.md fixing links --- NLDF/Readme.md | 8 +++----- 1 file changed, 3 insertions(+), 5 deletions(-) diff --git a/NLDF/Readme.md b/NLDF/Readme.md index b49b75e..01ad067 100644 --- a/NLDF/Readme.md +++ b/NLDF/Readme.md @@ -1,9 +1,7 @@ > ## Important Information -> This file has a lot of Latex and GitHub currently cannot render it on Markdown files. You can read all the math clearly as a [webpage](URL-PLACEHOLDER) or access this as a regular github [repository](URL-PLACEHOLDER). +> This file has a lot of Latex and GitHub currently cannot render it on Markdown files. You can read all the math clearly as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/NLDF/) or access this as a regular github [repository](https://github.com/caleb-hamilton/NAGJavaExamples/tree/main/NLDF). > -> The source of this example can be found [here](URL-PLACEHOLDER) and the output [here](URL-PLACEHOLDER). -> -> See the top directory of this repository for instructions to set up the [NAG Library for Java](URL-PLACEHOLDER). +> See the top directory of this repository for instructions to set up the [NAG Library for Java](https://github.com/numericalalgorithmsgroup/NAGJavaExamples). # Loss Function and Robustness in Data-Fitting @@ -337,4 +335,4 @@ So, what has happened in each case is: using $l_2$-norm loss, we move to the glo The lesson here is that the same thing that makes a loss function robust – ignoring data that lies far from the current model to some degree – can populate the search space with local minima where the model predicts some of the data well and ignores most of it. In extreme cases like arctan loss, if the starting point fits some of the data very well, the model will likely just be optimized for that portion of the data, even if it is a small portion of the whole dataset. It is therefore important to try a variety of loss functions and stating points when setting up a data-fitting problem, since these will affect both the optimal solution, as well as how easily an optimal solution is found. -[Learn more about the NAG Library](https://www.nag.com/content/nag-library) \ No newline at end of file +[Learn more about the NAG Library](https://www.nag.com/content/nag-library) From f6f87a9e2f0e3021f4d6d1332542638d9f1d21ab Mon Sep 17 00:00:00 2001 From: Caleb Hamilton Date: Mon, 20 Feb 2023 18:38:40 -0600 Subject: [PATCH 183/196] Update Readme.md fixing urls --- NLDF/Readme.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/NLDF/Readme.md b/NLDF/Readme.md index 01ad067..ea153a2 100644 --- a/NLDF/Readme.md +++ b/NLDF/Readme.md @@ -1,7 +1,7 @@ > ## Important Information -> This file has a lot of Latex and GitHub currently cannot render it on Markdown files. You can read all the math clearly as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/NLDF/) or access this as a regular github [repository](https://github.com/caleb-hamilton/NAGJavaExamples/tree/main/NLDF). +> This file has a lot of Latex and GitHub currently cannot render it on Markdown files. You can read all the math clearly as a [webpage](https://caleb-hamilton.github.io/NAGJavaExamples/NLDF/) or access this as a regular github [repository](https://github.com/caleb-hamilton/NAGJavaExamples/tree/main/NLDF). > -> See the top directory of this repository for instructions to set up the [NAG Library for Java](https://github.com/numericalalgorithmsgroup/NAGJavaExamples). +> See the top directory of this repository for instructions to set up the [NAG Library for Java](https://github.com/caleb-hamilton/NAGJavaExamples). # Loss Function and Robustness in Data-Fitting From 0e31c75db4fdf7372af5c1cf835743d3060549a9 Mon Sep 17 00:00:00 2001 From: Caleb Hamilton Date: Mon, 20 Feb 2023 18:52:31 -0600 Subject: [PATCH 184/196] Update Readme.md fixing math formatting in intro --- NLDF/Readme.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/NLDF/Readme.md b/NLDF/Readme.md index ea153a2..6efbfde 100644 --- a/NLDF/Readme.md +++ b/NLDF/Readme.md @@ -23,7 +23,7 @@ $$ \underset{x \in \mathbb{R}^{n_{\text{var}}}}{\text{minimize}} ~f(x) =\sum_{i=1}^{n_{\text{res}}} \chi(r_i(x)), $$ -where $x$ is a vector holding our model parameters, of which there are $n_\text{var}$. We have $n_\text{res}$ data points, and $r_i(x)= y_i - \varphi(t_i;x), \quad i = 1,...,n_\text{res}$ is the $i^{th}$ residual, equal to the difference between the observed and predicted values of the independent variable at time $t_i$, denoted $y_i$ and $\varphi(t_i;x)$ respectively. The loss function $\chi$ has desirable properties such as being bounded from below, and increasing with $|r_i\left(x\right)|$. Summing over all data points then, the objective function will be small when the model fits the whole dataset well, which is what we want. +where $x$ is a vector holding our model parameters, of which there are $n_\text{var}$. We have $n_\text{res}$ data points, and $r_i(x)= y_i - \varphi(t_i;x), \quad i = 1,...,n_\text{res}$ is the $i^{th}$ residual, equal to the difference between the observed and predicted values of the independent variable at time $t_i$, denoted $y_i$ and $\varphi(t_i;x)$ respectively. The loss function $\chi$ has desirable properties such as being bounded from below, and increasing with $\left|r_i\left(x\right)\right|$. Summing over all data points then, the objective function will be small when the model fits the whole dataset well, which is what we want. There are plenty of choices for function $\chi$, so how does our choice of loss function affect the fit we end up with? One important consideration is robustness. If some of the observed data points are far from the fitted model, how can we control the influence of those outliers? A robust loss function is one which doesn’t get thrown off easily by outliers in the data. From a88d77ea195be898bb0c4ee7afd023c870a77d41 Mon Sep 17 00:00:00 2001 From: Caleb Hamilton Date: Tue, 21 Feb 2023 17:34:56 -0600 Subject: [PATCH 185/196] Update Readme.md testing inline math format --- NLDF/Readme.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/NLDF/Readme.md b/NLDF/Readme.md index 6efbfde..71396eb 100644 --- a/NLDF/Readme.md +++ b/NLDF/Readme.md @@ -23,7 +23,7 @@ $$ \underset{x \in \mathbb{R}^{n_{\text{var}}}}{\text{minimize}} ~f(x) =\sum_{i=1}^{n_{\text{res}}} \chi(r_i(x)), $$ -where $x$ is a vector holding our model parameters, of which there are $n_\text{var}$. We have $n_\text{res}$ data points, and $r_i(x)= y_i - \varphi(t_i;x), \quad i = 1,...,n_\text{res}$ is the $i^{th}$ residual, equal to the difference between the observed and predicted values of the independent variable at time $t_i$, denoted $y_i$ and $\varphi(t_i;x)$ respectively. The loss function $\chi$ has desirable properties such as being bounded from below, and increasing with $\left|r_i\left(x\right)\right|$. Summing over all data points then, the objective function will be small when the model fits the whole dataset well, which is what we want. +where $x$ is a vector holding our model parameters, of which there are $n_\text{var}$. We have $$n_\text{res}$$ data points, and $$r_i(x)= y_i - \varphi(t_i;x), \quad i = 1,...,n_\text{res}$ is the $i^{th}$$ residual, equal to the difference between the observed and predicted values of the independent variable at time $$t_i$$, denoted $$y_i$$ and $$\varphi(t_i;x)$$ respectively. The loss function $\chi$ has desirable properties such as being bounded from below, and increasing with $$\left|r_i\left(x\right)\right|$$. Summing over all data points then, the objective function will be small when the model fits the whole dataset well, which is what we want. There are plenty of choices for function $\chi$, so how does our choice of loss function affect the fit we end up with? One important consideration is robustness. If some of the observed data points are far from the fitted model, how can we control the influence of those outliers? A robust loss function is one which doesn’t get thrown off easily by outliers in the data. From c6c0ef956baf3458bc89d1d3b16895115c9cecfd Mon Sep 17 00:00:00 2001 From: Caleb Hamilton Date: Tue, 21 Feb 2023 17:38:02 -0600 Subject: [PATCH 186/196] Update Readme.md testing again --- NLDF/Readme.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/NLDF/Readme.md b/NLDF/Readme.md index 71396eb..c70c246 100644 --- a/NLDF/Readme.md +++ b/NLDF/Readme.md @@ -23,7 +23,7 @@ $$ \underset{x \in \mathbb{R}^{n_{\text{var}}}}{\text{minimize}} ~f(x) =\sum_{i=1}^{n_{\text{res}}} \chi(r_i(x)), $$ -where $x$ is a vector holding our model parameters, of which there are $n_\text{var}$. We have $$n_\text{res}$$ data points, and $$r_i(x)= y_i - \varphi(t_i;x), \quad i = 1,...,n_\text{res}$ is the $i^{th}$$ residual, equal to the difference between the observed and predicted values of the independent variable at time $$t_i$$, denoted $$y_i$$ and $$\varphi(t_i;x)$$ respectively. The loss function $\chi$ has desirable properties such as being bounded from below, and increasing with $$\left|r_i\left(x\right)\right|$$. Summing over all data points then, the objective function will be small when the model fits the whole dataset well, which is what we want. +where $$x$$ is a vector holding our model parameters, of which there are $$n_\text{var}$$. We have $$n_\text{res}$$ data points, and $$r_i(x)= y_i - \varphi(t_i;x), \quad i = 1,...,n_\text{res}$$ is the $$i^{th}$$ residual, equal to the difference between the observed and predicted values of the independent variable at time $$t_i$$, denoted $$y_i$$ and $$\varphi(t_i;x)$$ respectively. The loss function $\chi$ has desirable properties such as being bounded from below, and increasing with $$\left|r_i\left(x\right)\right|$$. Summing over all data points then, the objective function will be small when the model fits the whole dataset well, which is what we want. There are plenty of choices for function $\chi$, so how does our choice of loss function affect the fit we end up with? One important consideration is robustness. If some of the observed data points are far from the fitted model, how can we control the influence of those outliers? A robust loss function is one which doesn’t get thrown off easily by outliers in the data. From 79b54e3ddf835395b159ff0e53fc2093ae3387f8 Mon Sep 17 00:00:00 2001 From: Caleb Hamilton Date: Tue, 21 Feb 2023 17:41:40 -0600 Subject: [PATCH 187/196] Update Readme.md abs{} --- NLDF/Readme.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/NLDF/Readme.md b/NLDF/Readme.md index c70c246..0b5d646 100644 --- a/NLDF/Readme.md +++ b/NLDF/Readme.md @@ -23,7 +23,7 @@ $$ \underset{x \in \mathbb{R}^{n_{\text{var}}}}{\text{minimize}} ~f(x) =\sum_{i=1}^{n_{\text{res}}} \chi(r_i(x)), $$ -where $$x$$ is a vector holding our model parameters, of which there are $$n_\text{var}$$. We have $$n_\text{res}$$ data points, and $$r_i(x)= y_i - \varphi(t_i;x), \quad i = 1,...,n_\text{res}$$ is the $$i^{th}$$ residual, equal to the difference between the observed and predicted values of the independent variable at time $$t_i$$, denoted $$y_i$$ and $$\varphi(t_i;x)$$ respectively. The loss function $\chi$ has desirable properties such as being bounded from below, and increasing with $$\left|r_i\left(x\right)\right|$$. Summing over all data points then, the objective function will be small when the model fits the whole dataset well, which is what we want. +where $$x$$ is a vector holding our model parameters, of which there are $$n_\text{var}$$. We have $$n_\text{res}$$ data points, and $$r_i(x)= y_i - \varphi(t_i;x), \quad i = 1,...,n_\text{res}$$ is the $$i^{th}$$ residual, equal to the difference between the observed and predicted values of the independent variable at time $$t_i$$, denoted $$y_i$$ and $$\varphi(t_i;x)$$ respectively. The loss function $\chi$ has desirable properties such as being bounded from below, and increasing with $$\abs{r_i\left(x\right)}$$. Summing over all data points then, the objective function will be small when the model fits the whole dataset well, which is what we want. There are plenty of choices for function $\chi$, so how does our choice of loss function affect the fit we end up with? One important consideration is robustness. If some of the observed data points are far from the fitted model, how can we control the influence of those outliers? A robust loss function is one which doesn’t get thrown off easily by outliers in the data. From fe78c4aabad2db2e042de67ac0def755150ef15e Mon Sep 17 00:00:00 2001 From: Caleb Hamilton Date: Tue, 21 Feb 2023 17:43:55 -0600 Subject: [PATCH 188/196] Update Readme.md abs || --- NLDF/Readme.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/NLDF/Readme.md b/NLDF/Readme.md index 0b5d646..0f479b1 100644 --- a/NLDF/Readme.md +++ b/NLDF/Readme.md @@ -23,7 +23,7 @@ $$ \underset{x \in \mathbb{R}^{n_{\text{var}}}}{\text{minimize}} ~f(x) =\sum_{i=1}^{n_{\text{res}}} \chi(r_i(x)), $$ -where $$x$$ is a vector holding our model parameters, of which there are $$n_\text{var}$$. We have $$n_\text{res}$$ data points, and $$r_i(x)= y_i - \varphi(t_i;x), \quad i = 1,...,n_\text{res}$$ is the $$i^{th}$$ residual, equal to the difference between the observed and predicted values of the independent variable at time $$t_i$$, denoted $$y_i$$ and $$\varphi(t_i;x)$$ respectively. The loss function $\chi$ has desirable properties such as being bounded from below, and increasing with $$\abs{r_i\left(x\right)}$$. Summing over all data points then, the objective function will be small when the model fits the whole dataset well, which is what we want. +where $$x$$ is a vector holding our model parameters, of which there are $$n_\text{var}$$. We have $$n_\text{res}$$ data points, and $$r_i(x)= y_i - \varphi(t_i;x), \quad i = 1,...,n_\text{res}$$ is the $$i^{th}$$ residual, equal to the difference between the observed and predicted values of the independent variable at time $$t_i$$, denoted $$y_i$$ and $$\varphi(t_i;x)$$ respectively. The loss function $\chi$ has desirable properties such as being bounded from below, and increasing with $$\|{r_i\left(x\right)}\|$$. Summing over all data points then, the objective function will be small when the model fits the whole dataset well, which is what we want. There are plenty of choices for function $\chi$, so how does our choice of loss function affect the fit we end up with? One important consideration is robustness. If some of the observed data points are far from the fitted model, how can we control the influence of those outliers? A robust loss function is one which doesn’t get thrown off easily by outliers in the data. From 83d822feb351d3eb02525aa9cb94d08c5cbcbf9a Mon Sep 17 00:00:00 2001 From: Caleb Hamilton Date: Mon, 6 Mar 2023 18:03:17 -0600 Subject: [PATCH 189/196] Update Readme.md math formatting for webpage style --- NLDF/Readme.md | 42 +++++++++++++++++++++--------------------- 1 file changed, 21 insertions(+), 21 deletions(-) diff --git a/NLDF/Readme.md b/NLDF/Readme.md index 0f479b1..b0e3053 100644 --- a/NLDF/Readme.md +++ b/NLDF/Readme.md @@ -118,11 +118,11 @@ Inside our 'main', we will initialize all our variables and create our handle. long cpuser = 0; ``` -We also define $t$ as an array of 21 points from $0.5$ to $2.5$. +We also define $$t$$ as an array of 21 points from $$0.5$$ to $$2.5$$. ## Single-outlier example -To investigate the robustness aspect, here’s a toy dataset which is generated from $\sin(t)$ and has an outlier at $t=1.5$, which is generated by $5\sin(t)$. +To investigate the robustness aspect, here’s a toy dataset which is generated from $$\sin(t)$$ and has an outlier at $$t=1.5$$, which is generated by $$5\sin(t)$$. ![toy1](images/fig1.png) @@ -172,14 +172,14 @@ private static class LSQGRD extends E04GN.Abstract_E04GN_LSQGRD { } ``` -### Start with $l_2$-norm loss function - Example 1 -Starting with one of the most common loss functions, the $l_2$-norm, we form the problem +### Start with $$l_2$$-norm loss function - Example 1 +Starting with one of the most common loss functions, the $$l_2$$-norm, we form the problem $$ \underset{x \in \mathbb{R}^{2}}{\text{minimize}}~f(x) =\sum_{i=1}^{21} r_i(x)^2 $$ -which is just least squares regression. $l_2$-norm loss has low robustness against outliers, so we should expect that the solution will be affected heavily by this one outlier. Let’s solve from a starting point at +which is just least squares regression. $$l_2$$-norm loss has low robustness against outliers, so we should expect that the solution will be affected heavily by this one outlier. Let’s solve from a starting point at $$ x\ =\ (2.1,1.4) @@ -187,7 +187,7 @@ $$ to see what this outlier does to the minimum. -For this Java example, we set up a function to reset $x$ variable to the starting point, since it gets passed to the solver and returns the solution. +For this Java example, we set up a function to reset $$x$$ variable to the starting point, since it gets passed to the solver and returns the solution. ```java private static double[] init_x() { @@ -197,7 +197,7 @@ private static double[] init_x() { ``` We first set up the options parameter to select the loss function and the printing options. -Since we already set up the handle and initialized the loss function to $l2$, we can just set our initial guess and solve. +Since we already set up the handle and initialized the loss function to $$l2$$, we can just set our initial guess and solve. ```java ifail = 0; @@ -222,18 +222,18 @@ And the curve this produces looks like this: ![L2](images/fig2.png) -The single outlier was able to disrupt the fit, since $l_2$-norm loss makes outliers contribute heavily to the objective function and search direction. +The single outlier was able to disrupt the fit, since $$l_2$$-norm loss makes outliers contribute heavily to the objective function and search direction. -### Try $l_1$-norm loss function - Example 2 -Using $l_1$-norm loss gives us the problem +### Try $$l_1$$-norm loss function - Example 2 +Using $$l_1$$-norm loss gives us the problem $$ \underset{x \in \mathbb{R}^{2}}{\text{minimize}}~f(x) =\sum_{i=1}^{21} |r_i(x)|, $$ -which is more robust against outliers. This means if some large portion of the data is well-fitted by some solution $x^\ast$, there is likely to be a local minimum very close to $x^\ast$ which is relatively undisturbed by the remaining data that is outlying to the solution $x^\ast$. Here’s the solution, again starting at $x=(2.1,1.4)$, using $l_1$ loss. +which is more robust against outliers. This means if some large portion of the data is well-fitted by some solution $$x^\ast$$, there is likely to be a local minimum very close to $x^\ast$ which is relatively undisturbed by the remaining data that is outlying to the solution $$x^\ast$$. Here’s the solution, again starting at $$x=(2.1,1.4)$$, using $$l_1$$ loss. -Now all we need to do is change the loss function parameter, reset $x$, and solve again. +Now all we need to do is change the loss function parameter, reset $$x$$, and solve again. ```java ifail = 0; x = init_x(); @@ -264,7 +264,7 @@ We can reuse the handle, the residual function (and gradient). Just changing the There is a danger in choosing a very robust loss function. During an iterative optimization process, a loss function which is robust against outliers will usually prefer the data which is close to the current model. This means that if the algorithm finds local minima of the objective function, the search can fall into a local minimum when the model fits some subset of the data very well but fits the majority of the data very badly. -To illustrate this, here’s a new dataset which we will try to fit with the same model, again starting at $x= (2.1,1.4)$. Most of the data was generated by $5\sin(t)$, with the 3 data points at either end being generated by $\sin(t)$. +To illustrate this, here’s a new dataset which we will try to fit with the same model, again starting at $$x= (2.1,1.4)$$. Most of the data was generated by $$5\sin(t)$$, with the 3 data points at either end being generated by $$\sin(t)$$. ![toy2](images/fig4.png) @@ -286,7 +286,7 @@ private static double[] toydata2(double [] t) { } ``` -We will fit this data set using 3 different loss functions with the same model $\varphi(t;x)$ each time and discuss the results under the plots all at once below. +We will fit this data set using 3 different loss functions with the same model $$\varphi(t;x)$$ each time and discuss the results under the plots all at once below. ```java ifail = 0; @@ -312,24 +312,24 @@ Here are all the curves plotted together: ![All](images/fig5.png) -In the first row of plots, the data is fitted using $l_2$-norm loss, $l_1$-norm loss, and $\arctan$ loss. Shown below each is the contour plot of the objective function value, where the black circles represent the parameters used to generate the data, the cyan circles represents the starting point for the solver, and the cyan wedges represent the optimized solution found by the solver. +In the first row of plots, the data is fitted using $$l_2$$-norm loss, $$l_1$$-norm loss, and $$\arctan$$ loss. Shown below each is the contour plot of the objective function value, where the black circles represent the parameters used to generate the data, the cyan circles represents the starting point for the solver, and the cyan wedges represent the optimized solution found by the solver. ![Contour](images/nldf_contour.png) -In the $l_2$-norm case in the left column, the outliers generated by $\sin(t)$ have pulled the optimal solution away from $x = (5,1)$. The contour plot for $l_2$-norm loss indicates that we don’t have to worry too much about what starting point to use, since there are no local minima in the region displayed, other than global best solution. +In the $$l_2$$-norm case in the left column, the outliers generated by $$\sin(t)$$ have pulled the optimal solution away from $$x = (5,1)$$. The contour plot for $$l_2$$-norm loss indicates that we don’t have to worry too much about what starting point to use, since there are no local minima in the region displayed, other than global best solution. -The behaviour of the solver is quite different when using an extremely robust loss function like $\arctan$ loss, which looks like +The behaviour of the solver is quite different when using an extremely robust loss function like $$\arctan$$ loss, which looks like $$ \underset{x \in \mathbb{R}^{2}}{\text{minimize}} ~ f(x) =\sum_{i=1}^{21} \text{arctan}(r_i(x)^2) $$ -The fitted model and corresponding contour plot for the $\arctan$ case are in the middle. Here, there are eight local minima in the contour plot for $\arctan$ loss, with seven of them being substantially worse solutions than the global minimum, and it is one of these we’ve converged to. Therefore, in this case the selection of initial estimation of the parameters is much more important. +The fitted model and corresponding contour plot for the $$\arctan$$ case are in the middle. Here, there are eight local minima in the contour plot for $$\arctan$$ loss, with seven of them being substantially worse solutions than the global minimum, and it is one of these we’ve converged to. Therefore, in this case the selection of initial estimation of the parameters is much more important. -The model fitted with $l_1$-norm loss and the corresponding contour plot are in the right column. Looking at the contour plot, there are still a few local minima that do not correspond to the optimal solution, but the starting point of $x = (2.1,1.4)$ still converges to the global minimum, which lies at -$x = (5,1)$, meaning the part of the dataset generated from $\sin(t)$ is effectively being ignoring. From the plots of the loss functions, we can see that $l_1$-norm loss is more robust than $l_2$-norm loss but less so than $\arctan$ loss. +The model fitted with $$l_1$$-norm loss and the corresponding contour plot are in the right column. Looking at the contour plot, there are still a few local minima that do not correspond to the optimal solution, but the starting point of $$x = (2.1,1.4)$$ still converges to the global minimum, which lies at +$$x = (5,1)$$, meaning the part of the dataset generated from $$\sin(t)$$ is effectively being ignoring. From the plots of the loss functions, we can see that $$l_1$$-norm loss is more robust than $$l_2$$-norm loss but less so than $$\arctan$$ loss. -So, what has happened in each case is: using $l_2$-norm loss, we move to the global minimum which is affected by the whole dataset. Using $l_1$-norm loss, we move to the global minimum which fits most of the data very well and ignores a small portion, treating them as outliers. Using $\arctan$ loss we move to a local minimum which ignores a large portion of the data (treating them as outliers) and fits a small amount of data very well. +So, what has happened in each case is: using $$l_2$$-norm loss, we move to the global minimum which is affected by the whole dataset. Using $$l_1$$-norm loss, we move to the global minimum which fits most of the data very well and ignores a small portion, treating them as outliers. Using $$\arctan$$ loss we move to a local minimum which ignores a large portion of the data (treating them as outliers) and fits a small amount of data very well. ## Conclusion From 96f7f3e5d305105ca500933ee185d79398f36e76 Mon Sep 17 00:00:00 2001 From: Caleb Hamilton Date: Mon, 6 Mar 2023 18:10:38 -0600 Subject: [PATCH 190/196] Update Readme.md last math style cleanups --- NLDF/Readme.md | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/NLDF/Readme.md b/NLDF/Readme.md index b0e3053..6939b6d 100644 --- a/NLDF/Readme.md +++ b/NLDF/Readme.md @@ -23,9 +23,9 @@ $$ \underset{x \in \mathbb{R}^{n_{\text{var}}}}{\text{minimize}} ~f(x) =\sum_{i=1}^{n_{\text{res}}} \chi(r_i(x)), $$ -where $$x$$ is a vector holding our model parameters, of which there are $$n_\text{var}$$. We have $$n_\text{res}$$ data points, and $$r_i(x)= y_i - \varphi(t_i;x), \quad i = 1,...,n_\text{res}$$ is the $$i^{th}$$ residual, equal to the difference between the observed and predicted values of the independent variable at time $$t_i$$, denoted $$y_i$$ and $$\varphi(t_i;x)$$ respectively. The loss function $\chi$ has desirable properties such as being bounded from below, and increasing with $$\|{r_i\left(x\right)}\|$$. Summing over all data points then, the objective function will be small when the model fits the whole dataset well, which is what we want. +where $$x$$ is a vector holding our model parameters, of which there are $$n_\text{var}$$. We have $$n_\text{res}$$ data points, and $$r_i(x)= y_i - \varphi(t_i;x), \quad i = 1,...,n_\text{res}$$ is the $$i^{th}$$ residual, equal to the difference between the observed and predicted values of the independent variable at time $$t_i$$, denoted $$y_i$$ and $$\varphi(t_i;x)$$ respectively. The loss function $$\chi$$ has desirable properties such as being bounded from below, and increasing with $$\|{r_i\left(x\right)}\|$$. Summing over all data points then, the objective function will be small when the model fits the whole dataset well, which is what we want. -There are plenty of choices for function $\chi$, so how does our choice of loss function affect the fit we end up with? One important consideration is robustness. If some of the observed data points are far from the fitted model, how can we control the influence of those outliers? A robust loss function is one which doesn’t get thrown off easily by outliers in the data. +There are plenty of choices for function $$\chi$$, so how does our choice of loss function affect the fit we end up with? One important consideration is robustness. If some of the observed data points are far from the fitted model, how can we control the influence of those outliers? A robust loss function is one which doesn’t get thrown off easily by outliers in the data. ### Java Imports The packages we need to import for this example consist entirely of the following. @@ -231,7 +231,7 @@ $$ \underset{x \in \mathbb{R}^{2}}{\text{minimize}}~f(x) =\sum_{i=1}^{21} |r_i(x)|, $$ -which is more robust against outliers. This means if some large portion of the data is well-fitted by some solution $$x^\ast$$, there is likely to be a local minimum very close to $x^\ast$ which is relatively undisturbed by the remaining data that is outlying to the solution $$x^\ast$$. Here’s the solution, again starting at $$x=(2.1,1.4)$$, using $$l_1$$ loss. +which is more robust against outliers. This means if some large portion of the data is well-fitted by some solution $$x^\ast$$, there is likely to be a local minimum very close to $$x^\ast$$ which is relatively undisturbed by the remaining data that is outlying to the solution $$x^\ast$$. Here’s the solution, again starting at $$x=(2.1,1.4)$$, using $$l_1$$ loss. Now all we need to do is change the loss function parameter, reset $$x$$, and solve again. ```java From 21e1373c8bb9f490aca8080555873bd856b7c2cf Mon Sep 17 00:00:00 2001 From: Caleb Hamilton Date: Tue, 7 Mar 2023 18:13:19 -0600 Subject: [PATCH 191/196] fix typos and switch to public classes and using abstractions --- NLDF/GenDFEx.java | 40 +++++++++++++++++++--------------------- 1 file changed, 19 insertions(+), 21 deletions(-) diff --git a/NLDF/GenDFEx.java b/NLDF/GenDFEx.java index 20cfd3f..1c06b89 100644 --- a/NLDF/GenDFEx.java +++ b/NLDF/GenDFEx.java @@ -3,17 +3,15 @@ import com.nag.routines.E04.E04GNX; // confun dummy import com.nag.routines.E04.E04GNY; // congrd dummy import com.nag.routines.E04.E04RA; // Handle init -import com.nag.routines.E04.E04RH; //box bounds +import com.nag.routines.E04.E04RH; // box bounds import com.nag.routines.E04.E04RJ; // linear constraints import com.nag.routines.E04.E04RM; // add model and residual sparsity structure -import com.nag.routines.E04.E04RZ; //destroy handle +import com.nag.routines.E04.E04RZ; // destroy handle import com.nag.routines.E04.E04ZM; // optional parameters import java.lang.Math; import java.util.Arrays; -//import java.io.File; -//import java.io.IOException; -///import java.io.FileWriter; + public class GenDFEx { @@ -36,7 +34,7 @@ public static void main (String[] args) { double [] ruser1 = toydata1(t); // For Example 1 double [] ruser2 = toydata2(t); // For Example 2 - double [] x = new double [2]; // instatiate an array for as many variable you need + double [] x = new double [2]; // instantiate an array for as many variable you need long handle = 0; int nvar = x.length; int ifail; @@ -55,7 +53,7 @@ public static void main (String[] args) { e04ra.eval(handle, nvar, ifail); handle = e04ra.getHANDLE(); - // define the residual functions and sparsity structure + // Define the residual functions and sparsity structure ifail = 0; e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); @@ -79,7 +77,7 @@ public static void main (String[] args) { System.out.println("\n----Solving Toy Dataset #1 with L2 Loss Function----"); ifail = 0; x = init_x(); //give x the initial guess you want to start from - // x will be changed during solve + // NOTE: x will be changed during solve e04gn.eval(handle, lsqfun, lsqgrd, confun, congrd, monit, nvar, x, nres, rx, rinfo, stats, iuser, ruser1, cpuser, ifail); @@ -116,12 +114,12 @@ public static void main (String[] args) { e04gn.eval(handle, lsqfun, lsqgrd, confun, congrd, monit, nvar, x, nres, rx, rinfo, stats, iuser, ruser2, cpuser, ifail); - e04rz.eval(handle,ifail); // destroy the handle + e04rz.eval(handle,ifail); // Destroy the handle } - private static class LSQFUN extends E04GN.Abstract_E04GN_LSQFUN { + public static class LSQFUN extends E04GN.Abstract_E04GN_LSQFUN { public void eval() { for(int i = 0; i < NRES; i++){ this.RX[i] = RUSER[NRES + i] - X[0] * Math.sin(X[1] * RUSER[i]); @@ -129,7 +127,7 @@ public void eval() { } } - private static class LSQGRD extends E04GN.Abstract_E04GN_LSQGRD { + public static class LSQGRD extends E04GN.Abstract_E04GN_LSQGRD { public void eval() { for(int i = 0; i < NRES; i++){ this.RDX[i * NVAR] = (-1 * Math.sin(X[1]*RUSER[i])); @@ -139,26 +137,26 @@ public void eval() { } // Dummy Functions required for NLDF solver - private static class CONFUN extends E04GNX implements E04GN.E04GN_CONFUN { + public static class CONFUN extends E04GN.Abstract_E04GN_CONFUN { public void eval(){ - super.eval(); + this.eval(); } } - private static class CONGRD extends E04GNY implements E04GN.E04GN_CONGRD { + public static class CONGRD extends E04GN.Abstract_E04GN_CONGRD { public void eval(){ - super.eval(); + this.eval(); } } - private static class MONIT extends E04GNU implements E04GN.E04GN_MONIT { + public static class MONIT extends E04GN.Abstract_E04GN_MONIT { public void eval(){ - super.eval(); + this.eval(); } } // Utilities for setting up data for problem - private static double[] linspace(double startPoint, double endPoint, int length) { + public static double[] linspace(double startPoint, double endPoint, int length) { double[] a = new double[length]; double step = (endPoint - startPoint) / (length - 1); a[0] = startPoint; @@ -169,7 +167,7 @@ private static double[] linspace(double startPoint, double endPoint, int length) return a; } - private static double[] toydata1(double [] t) { + public static double[] toydata1(double [] t) { double [] y = new double[t.length * 2]; for(int i = 0; i < t.length * 2; i++){ if(i < t.length){ @@ -185,7 +183,7 @@ private static double[] toydata1(double [] t) { return y; } - private static double[] toydata2(double [] t) { + public static double[] toydata2(double [] t) { double [] y = new double[t.length * 2]; for(int i = 0; i < t.length * 2; i++){ if(i < t.length){ @@ -202,7 +200,7 @@ private static double[] toydata2(double [] t) { } // For resetting the initial guess - private static double[] init_x() { + public static double[] init_x() { double [] x = new double [] {2.1,1.4}; return x; } From a8f82b17a3b0877a3af2d9fbf394fcc73ac82ee4 Mon Sep 17 00:00:00 2001 From: Caleb Hamilton Date: Tue, 7 Mar 2023 18:32:07 -0600 Subject: [PATCH 192/196] fix typos in Readme --- NLDF/Readme.md | 126 +++++++++++++++++++++++++------------------------ 1 file changed, 64 insertions(+), 62 deletions(-) diff --git a/NLDF/Readme.md b/NLDF/Readme.md index 6939b6d..ec2a629 100644 --- a/NLDF/Readme.md +++ b/NLDF/Readme.md @@ -9,11 +9,11 @@ ### NAG Library Install -To run this example, you will need to install the NAG Library (Mark 28.5 or newer) and a license key. You will also need the NAG Library for Java wrappers. You can find the software, wrappers, and request a license key from our website here: [Getting Started with NAG Library](https://www.nag.com/content/getting-started-nag-library) +To run this example, you will need to install the NAG Library (Mark 28.5 or newer) and a license key. You will also need the NAG Library for Java wrappers. You can find the software, wrappers, and request a license key from our website here: [Getting Started with NAG Library](https://www.nag.com/content/getting-started-nag-library?lang=jv) ### Using These Example Files -This directory contains a Java source code and a couple images files to help illustrate this example. With NAG Library and wrappers properly installed, the Java file can be compiled and run as it is to produce a data set and execute all the example scenarios described below. +This directory contains the [Java source code](./GenDFEx.java) and a couple images files to help illustrate this example. With NAG Library and wrappers properly installed, the Java file can be compiled and run as it is to produce a data set and execute all the example scenarios described below. ## Introduction @@ -34,11 +34,11 @@ import com.nag.routines.E04.E04GN; // nagf_opt_handle_solve_nldf import com.nag.routines.E04.E04GNU; // monit import com.nag.routines.E04.E04GNX; // confun dummy import com.nag.routines.E04.E04GNY; // congrd dummy -import com.nag.routines.E04.E04RA; // Handle init -import com.nag.routines.E04.E04RH; //box bounds +import com.nag.routines.E04.E04RA; // handle init +import com.nag.routines.E04.E04RH; // box bounds import com.nag.routines.E04.E04RJ; // linear constraints import com.nag.routines.E04.E04RM; // add model and residual sparsity structure -import com.nag.routines.E04.E04RZ; //destroy handle +import com.nag.routines.E04.E04RZ; // destroy handle import com.nag.routines.E04.E04ZM; // optional parameters import java.lang.Math; @@ -48,74 +48,74 @@ import java.util.Arrays; ### Utility Functions and Setup We need to define a few dummy functions required by the Generalized Data Fitting solver interface ```java -private static class CONFUN extends E04GNX implements E04GN.E04GN_CONFUN { +public static class CONFUN extends E04GN.Abstract_E04GN_CONFUN { public void eval(){ - super.eval(); + this.eval(); } } -private static class CONGRD extends E04GNY implements E04GN.E04GN_CONGRD { +public static class CONGRD extends E04GN.Abstract_E04GN_CONGRD { public void eval(){ - super.eval(); + this.eval(); } } -private static class MONIT extends E04GNU implements E04GN.E04GN_MONIT { +public static class MONIT extends E04GN.Abstract_E04GN_MONIT { public void eval(){ - super.eval(); + this.eval(); } } ``` Inside our 'main', we will initialize all our variables and create our handle. ```java - E04GN e04gn = new E04GN(); // the solver - E04RA e04ra = new E04RA(); // the handle initializer - E04RM e04rm = new E04RM(); // for setting model and residual sparsity structure - E04ZM e04zm = new E04ZM(); // for setting optional parameters - E04RZ e04rz = new E04RZ(); // handle destroyer +E04GN e04gn = new E04GN(); // the solver +E04RA e04ra = new E04RA(); // the handle initializer +E04RM e04rm = new E04RM(); // for setting model and residual sparsity structure +E04ZM e04zm = new E04ZM(); // for setting optional parameters +E04RZ e04rz = new E04RZ(); // handle destroyer - MONIT monit = new MONIT(); // defined below using E04GNU - CONFUN confun = new CONFUN(); // defined below using E04GNX (dummy) - CONGRD congrd = new CONGRD(); // defined below using E04GNY (dummy) +MONIT monit = new MONIT(); // defined below using E04GNU +CONFUN confun = new CONFUN(); // defined below using E04GNX (dummy) +CONGRD congrd = new CONGRD(); // defined below using E04GNY (dummy) - double [] x = new double [2]; // instatiate an array for as many variable you need - long handle = 0; - int nvar = x.length; - int ifail; - int nres = t.length; - - // Init for sparsity structure - int isparse = 0; - int nnzrd = 0; - int [] irowrd = new int [nnzrd]; - int [] icolrd = new int [nnzrd]; - - // Get handle - ifail = 0; - e04ra.eval(handle, nvar, ifail); - handle = e04ra.getHANDLE(); - - // define the residual functions and sparsity structure - ifail = 0; - e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); - - // Set options - ifail = 0; - e04zm.eval(handle, "NLDF Loss Function Type = L2", ifail); - e04zm.eval(handle, "Print Level = 1", ifail); - e04zm.eval(handle, "Print Options = No", ifail); - e04zm.eval(handle, "Print Solution = Yes", ifail); - - // Initialize all the remaining parameters - LSQFUN lsqfun = new LSQFUN(); - LSQGRD lsqgrd = new LSQGRD(); - double [] rx = new double[nres]; - double [] rinfo = new double[100]; - double [] stats = new double [100]; - int [] iuser = new int[0]; - long cpuser = 0; +double [] x = new double [2]; // instatiate an array for as many variable you need +long handle = 0; +int nvar = x.length; +int ifail; +int nres = t.length; + +// Init for sparsity structure +int isparse = 0; +int nnzrd = 0; +int [] irowrd = new int [nnzrd]; +int [] icolrd = new int [nnzrd]; + +// Get handle +ifail = 0; +e04ra.eval(handle, nvar, ifail); +handle = e04ra.getHANDLE(); + +// define the residual functions and sparsity structure +ifail = 0; +e04rm.eval(handle, nres, isparse, nnzrd, irowrd, icolrd, ifail); + +// Set options +ifail = 0; +e04zm.eval(handle, "NLDF Loss Function Type = L2", ifail); +e04zm.eval(handle, "Print Level = 1", ifail); +e04zm.eval(handle, "Print Options = No", ifail); +e04zm.eval(handle, "Print Solution = Yes", ifail); + +// Initialize all the remaining parameters +LSQFUN lsqfun = new LSQFUN(); +LSQGRD lsqgrd = new LSQGRD(); +double [] rx = new double[nres]; +double [] rinfo = new double[100]; +double [] stats = new double [100]; +int [] iuser = new int[0]; +long cpuser = 0; ``` We also define $$t$$ as an array of 21 points from $$0.5$$ to $$2.5$$. @@ -127,7 +127,7 @@ To investigate the robustness aspect, here’s a toy dataset which is generated ![toy1](images/fig1.png) ```java -private static double[] toydata1(double [] t) { +public static double[] toydata1(double [] t) { double [] y = new double[t.length * 2]; for(int i = 0; i < t.length * 2; i++){ if(i < t.length){ @@ -154,7 +154,7 @@ using a variety of loss functions provided by NAG’s data-fitting solver **hand To set up this model, we must define it and its gradient inside the functions `LSQFUN` and `LSQGRD` ```java -private static class LSQFUN extends E04GN.Abstract_E04GN_LSQFUN { +public static class LSQFUN extends E04GN.Abstract_E04GN_LSQFUN { public void eval() { for(int i = 0; i < NRES; i++){ this.RX[i] = RUSER[NRES + i] - X[0] * Math.sin(X[1] * RUSER[i]); @@ -162,7 +162,7 @@ private static class LSQFUN extends E04GN.Abstract_E04GN_LSQFUN { } } -private static class LSQGRD extends E04GN.Abstract_E04GN_LSQGRD { +public static class LSQGRD extends E04GN.Abstract_E04GN_LSQGRD { public void eval() { for(int i = 0; i < NRES; i++){ this.RDX[i * NVAR] = (-1 * Math.sin(X[1]*RUSER[i])); @@ -190,7 +190,7 @@ to see what this outlier does to the minimum. For this Java example, we set up a function to reset $$x$$ variable to the starting point, since it gets passed to the solver and returns the solution. ```java -private static double[] init_x() { +public static double[] init_x() { double [] x = new double [] {2.1,1.4}; return x; } @@ -269,7 +269,7 @@ To illustrate this, here’s a new dataset which we will try to fit with the sam ![toy2](images/fig4.png) ```java -private static double[] toydata2(double [] t) { +public static double[] toydata2(double [] t) { double [] y = new double[t.length * 2]; for(int i = 0; i < t.length * 2; i++){ if(i < t.length){ @@ -286,7 +286,7 @@ private static double[] toydata2(double [] t) { } ``` -We will fit this data set using 3 different loss functions with the same model $$\varphi(t;x)$$ each time and discuss the results under the plots all at once below. +We will fit this data set using 3 different loss functions with the same model $$\varphi(t;x)$$ each time and discuss the results under the plots all at once below. And we'll lastly clear the handle completely. ```java ifail = 0; @@ -306,6 +306,8 @@ x = init_x(); e04zm.eval(handle, "NLDF Loss Function Type = ATAN", ifail); e04gn.eval(handle, lsqfun, lsqgrd, confun, congrd, monit, nvar, x, nres, rx, rinfo, stats, iuser, ruser2, cpuser, ifail); + +e04rz.eval(handle,ifail); // Destroy the handle ``` Here are all the curves plotted together: @@ -327,7 +329,7 @@ $$ The fitted model and corresponding contour plot for the $$\arctan$$ case are in the middle. Here, there are eight local minima in the contour plot for $$\arctan$$ loss, with seven of them being substantially worse solutions than the global minimum, and it is one of these we’ve converged to. Therefore, in this case the selection of initial estimation of the parameters is much more important. The model fitted with $$l_1$$-norm loss and the corresponding contour plot are in the right column. Looking at the contour plot, there are still a few local minima that do not correspond to the optimal solution, but the starting point of $$x = (2.1,1.4)$$ still converges to the global minimum, which lies at -$$x = (5,1)$$, meaning the part of the dataset generated from $$\sin(t)$$ is effectively being ignoring. From the plots of the loss functions, we can see that $$l_1$$-norm loss is more robust than $$l_2$$-norm loss but less so than $$\arctan$$ loss. +$$x = (5,1)$$, meaning the part of the dataset generated from $$\sin(t)$$ is effectively being ignored. From the plots of the loss functions, we can see that $$l_1$$-norm loss is more robust than $$l_2$$-norm loss but less so than $$\arctan$$ loss. So, what has happened in each case is: using $$l_2$$-norm loss, we move to the global minimum which is affected by the whole dataset. Using $$l_1$$-norm loss, we move to the global minimum which fits most of the data very well and ignores a small portion, treating them as outliers. Using $$\arctan$$ loss we move to a local minimum which ignores a large portion of the data (treating them as outliers) and fits a small amount of data very well. From 0a74e33a905af855c04038ab73f40e1df6c69a71 Mon Sep 17 00:00:00 2001 From: Caleb Hamilton Date: Wed, 8 Mar 2023 09:16:45 -0600 Subject: [PATCH 193/196] Update Readme.md typo correction --- NLDF/Readme.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/NLDF/Readme.md b/NLDF/Readme.md index ec2a629..06093f5 100644 --- a/NLDF/Readme.md +++ b/NLDF/Readme.md @@ -80,7 +80,7 @@ MONIT monit = new MONIT(); // defined below using E04GNU CONFUN confun = new CONFUN(); // defined below using E04GNX (dummy) CONGRD congrd = new CONGRD(); // defined below using E04GNY (dummy) -double [] x = new double [2]; // instatiate an array for as many variable you need +double [] x = new double [2]; // instantiate an array for as many variable you need long handle = 0; int nvar = x.length; int ifail; From 5b83d7f72c6d4ae154394cf77369bea4b722c06a Mon Sep 17 00:00:00 2001 From: Caleb Hamilton Date: Mon, 13 Mar 2023 13:45:54 -0500 Subject: [PATCH 194/196] Update Readme.md fixing links --- NLDF/Readme.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/NLDF/Readme.md b/NLDF/Readme.md index 06093f5..0fd4012 100644 --- a/NLDF/Readme.md +++ b/NLDF/Readme.md @@ -1,7 +1,7 @@ > ## Important Information -> This file has a lot of Latex and GitHub currently cannot render it on Markdown files. You can read all the math clearly as a [webpage](https://caleb-hamilton.github.io/NAGJavaExamples/NLDF/) or access this as a regular github [repository](https://github.com/caleb-hamilton/NAGJavaExamples/tree/main/NLDF). +> This file has a lot of Latex and GitHub currently cannot render it on Markdown files. You can read all the math clearly as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/NLDF/) or access this as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/NLDF). > -> See the top directory of this repository for instructions to set up the [NAG Library for Java](https://github.com/caleb-hamilton/NAGJavaExamples). +> See the top directory of this repository for instructions to set up the [NAG Library for Java](https://github.com/numericalalgorithmsgroup/NAGJavaExamples). # Loss Function and Robustness in Data-Fitting From 1658a9ed3ae87f64c85a44c25ff7a3ce55fd709e Mon Sep 17 00:00:00 2001 From: Caleb Hamilton Date: Tue, 21 Mar 2023 11:42:33 -0500 Subject: [PATCH 195/196] Update README.md added link to NLDF --- README.md | 1 + 1 file changed, 1 insertion(+) diff --git a/README.md b/README.md index a8ae330..f2971d6 100644 --- a/README.md +++ b/README.md @@ -12,6 +12,7 @@ This repository contains examples and demonstrations using the [NAG Library for * [Fast Implied Volatilities](./opt_imp_vol) * [Nonlinear Least-Squares Trust-Region Method (BXNL)](./BXNL) * [First-order active-set method (FOAS)](./FOAS) +* [Generalized Nonlinear Data Fitting](./NLDF) ## Examples that ship with the product From bfa65a6bc498423e55483d4df03c5c47a0565bb7 Mon Sep 17 00:00:00 2001 From: Caleb Hamilton Date: Thu, 14 Nov 2024 09:47:02 -0600 Subject: [PATCH 196/196] Update README.md brand updates --- README.md | 28 ++++++++++++++-------------- 1 file changed, 14 insertions(+), 14 deletions(-) diff --git a/README.md b/README.md index f2971d6..0758216 100644 --- a/README.md +++ b/README.md @@ -1,9 +1,9 @@ > ## Important Information > This repository can viewed as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/) or as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/). -# Examples using the NAG Library for Java +# Examples using the *n*AG Library for Java -This repository contains examples and demonstrations using the [NAG Library for Java](https://www.nag.com/content/nag-library-for-java). The NAG Library for Java contains 1900+ functions spanning many areas of numerical computing and data science. +This repository contains examples and demonstrations using the [*n*AG Library for Java](https://www.nag.com/content/nag-library-for-java). The *n*AG Library for Java contains 1900+ functions spanning many areas of numerical computing and data science. ## Directory of GitHub examples @@ -16,24 +16,24 @@ This repository contains examples and demonstrations using the [NAG Library for ## Examples that ship with the product -The NAG Library for Java ships with a set of usage [examples](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/simple_examples). +The *n*AG Library for Java ships with a set of usage [examples](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/simple_examples). ## Prerequisites -The NAG Library for Java is NOT compatible with all implementations of the NAG Library. It is therefore important that you ensure that the correct implementation of the NAG Library is installed in order to use these wrappers. +The *n*AG Library for Java is NOT compatible with all implementations of the *n*AG Library. It is therefore important that you ensure that the correct implementation of the *n*AG Library is installed in order to use these wrappers. -The NAG Library for Java Mark 27.1 is available for the following platforms: +The *n*AG Library for Java Mark 27.1 is available for the following platforms: -| Platform | NAG Library | +| Platform | *n*AG Library | | --- | --- | | Linux 64-bit | NLL6I271BL | | Windows 64-bit | NLW6I271EL | -You can get the NAG Library from [here](https://www.nag.com/content/nag-library). +You can get the *n*AG Library from [here](https://www.nag.com/content/nag-library). ## Obtaining a license -Before you can use the NAG Library for Java, you'll need a license. Free trial licenses are available! +Before you can use the *n*AG Library for Java, you'll need a license. Free trial licenses are available! To request a licence key, you first need to know your Kusari *hostid* and email that along with the *Product Code* to [support@nag.com](mailto:support@nag.com). @@ -62,18 +62,18 @@ or More detailed installation instructions are availavle in the [Installer's Note](https://www.nag.com/content/nag-library-mark-27). -## NAG Library for Java installation +## *n*AG Library for Java installation -You can get the NAG Library for Java from [here](https://www.nag.com/content/nag-library-java-download). +You can get the *n*AG Library for Java from [here](https://www.nag.com/content/nag-library-java-download). ### Linux -To install the NAG Library for Java, you simply have to unzip the distribution file and copy two files to convenient locations on your system: +To install the *n*AG Library for Java, you simply have to unzip the distribution file and copy two files to convenient locations on your system: * NAGJava.jar * libnag_jni271.so -The following **must** be in your *LD_LIBRARY_PATH* environment variable to use the NAG Library for Java: +The following **must** be in your *LD_LIBRARY_PATH* environment variable to use the *n*AG Library for Java: * The directory containing *libnag_jni271.so* * The directories *lp64/lib* and *rtl/lib/intel64* of the underlying library NLL6I271BL @@ -96,12 +96,12 @@ If you are using an IDE such as Eclipse, you may need to configure your project ### Windows -To install the NAG Library for Java, you simply have to unzip the distribution file and copy two files to convenient locations on your system: +To install the *n*AG Library for Java, you simply have to unzip the distribution file and copy two files to convenient locations on your system: * NAGJava.jar * nag_jni271.dll -The following **must** be in your *PATH* environment variable to use the NAG Library for Java: +The following **must** be in your *PATH* environment variable to use the *n*AG Library for Java: * The directory containing *nag_jni271.dll* * The directories *bin* and *rtl\bin* of the underlying library NLW6I271EL

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z6*5X(T7ZK+itKzc3BZ{H;9O&vMX~*4V7V6(GNs^IlUVnQB5{sc9l#2pjYsm(?)Uq& z=XA`E++Sx4x^VcYcs%f62`0zMiolv+0q2R+ryu|O{XYHYr>7}tX`r^fzk>q<@FtE! z2?jrIi!?4cDPRgxCjmTr6?B0qun3!X9e9;X>H0LwMh8eAnqyW2(9>(eR$tF{baVvH zPTEJR0F%8Huw-EYrEw+!-$Ed*Ah3l2Sa@>)#TKvvCry9?94xvFz-BE-GJ_FVm;nWt d9JwF-XHM=s98%Z%J(>XsJYD@<);T3K0RTko+{*v} literal 0 HcmV?d00001 diff --git a/FOAS/migration/Migration_E04DG_E04KF.java b/FOAS/migration/Migration_E04DG_E04KF.java new file mode 100644 index 0000000..59b5a8d --- /dev/null +++ b/FOAS/migration/Migration_E04DG_E04KF.java @@ -0,0 +1,139 @@ +import com.nag.routines.E04.E04DG; +import com.nag.routines.E04.E04WB; +import com.nag.routines.E04.E04RA; +import com.nag.routines.E04.E04RG; +import com.nag.routines.E04.E04RH; +import com.nag.routines.E04.E04ZM; +import com.nag.routines.E04.E04RZ; +import com.nag.routines.E04.E04KF; +import com.nag.routines.E04.E04KFU; + +import java.lang.Math; +import java.util.Arrays; + +public class Migration_E04DG_E04KF { + public static void main(String[] args) { + + // The initial guess + double[] x = new double[] { -1.5, 1.9 }; + + E04WB e04wb = new E04WB(); + String[] cwsav = new String[1]; + Arrays.fill(cwsav, " "); + boolean[] lwsav = new boolean[120]; + int[] iwsav = new int[610]; + double[] rwsav = new double[475]; + int ifail = 0; + e04wb.eval("e04dga", cwsav, 1, lwsav, 120, iwsav, 610, rwsav, 475, ifail); + + // Solve the problem with E04DG + + E04DG e04dg = new E04DG(); + OBJFUN_E04DG objfun_e04dg = new OBJFUN_E04DG(); + int n = x.length; + int iter = 0; + double objf = 0; + double[] objgrd = new double[n]; + int[] iwork = new int[n + 1]; + double[] work = new double[13 * n]; + int[] iuser = new int[0]; + double[] ruser = new double[0]; + ifail = 0; + e04dg.eval(n, objfun_e04dg, iter, objf, objgrd, x, iwork, work, iuser, ruser, lwsav, iwsav, rwsav, ifail); + + System.out.println("Solution: " + x[0] + " " + x[1]); + System.out.println(); + + // Now solve with the new solver E04KF + + // The initial guess + x = new double[] { -1.5, 1.9 }; + + E04RA e04ra = new E04RA(); + E04RG e04rg = new E04RG(); + E04RH e04rh = new E04RH(); + E04ZM e04zm = new E04ZM(); + E04KF e04kf = new E04KF(); + + // Create an empty handle for the problem + int nvar = x.length; + long handle = 0; + ifail = 0; + e04ra.eval(handle, nvar, ifail); + handle = e04ra.getHANDLE(); + + // Define the nonlinear objective in the handle + // Setup a gradient vector of length nvar + int[] idxfd = new int[nvar]; + for (int i = 0; i < nvar; i++) { + idxfd[i] = i + 1; + } + ifail = 0; + e04rg.eval(handle, nvar, idxfd, ifail); + + // Set some algorithmic options + ifail = 0; + e04zm.eval(handle, "Print Options = Yes", ifail); // print Options? + e04zm.eval(handle, "Print Solution = Yes", ifail); // print on the screen the solution point X + e04zm.eval(handle, "Print Level = 1", ifail); // print details of each iteration (screen) + + // Solve the problem and print the solution + OBJFUN_E04KF obfun_e04kf = new OBJFUN_E04KF(); + OBJGRD_E04KF objgrd_e04kf = new OBJGRD_E04KF(); + MONIT_E04KF monit_e04kf = new MONIT_E04KF(); + double[] rinfo = new double[100]; + double[] stats = new double[100]; + iuser = new int[0]; + ruser = new double[0]; + long cpuser = 0; + ifail = 0; + e04kf.eval(handle, obfun_e04kf, objgrd_e04kf, monit_e04kf, nvar, x, rinfo, stats, iuser, ruser, cpuser, ifail); + + // Destroy the handle and free allocated memory + E04RZ e04rz = new E04RZ(); + e04rz.eval(handle, ifail); + } + + // Define E04DG user call-back + public static class OBJFUN_E04DG extends E04DG.Abstract_E04DG_OBJFUN { + public void eval() { + this.OBJF = Math.pow(1.0 - this.X[0], 2) + 100.0 * Math.pow(this.X[1] - Math.pow(this.X[0], 2), 2); + + if (this.MODE == 2) { + this.OBJGRD[0] = 2.0 * this.X[0] - 400.0 * this.X[0] * (this.X[1] - Math.pow(this.X[0], 2)) - 2.0; + this.OBJGRD[1] = 200.0 * (this.X[1] - Math.pow(this.X[0], 2)); + } + } + } + + // Define user call-backs for E04KF + /** + * Return the objective function value + */ + public static class OBJFUN_E04KF extends E04KF.Abstract_E04KF_OBJFUN { + public void eval() { + this.FX = Math.pow(1.0 - this.X[0], 2) + 100.0 * Math.pow(this.X[1] - Math.pow(this.X[0], 2), 2); + } + } + + /** + * The objective's gradient. Note that fdx has to be updated IN-PLACE + */ + public static class OBJGRD_E04KF extends E04KF.Abstract_E04KF_OBJGRD { + public void eval() { + this.FDX[0] = 2.0 * this.X[0] - 400.0 * this.X[0] * (this.X[1] - Math.pow(this.X[0], 2)) - 2.0; + this.FDX[1] = 200.0 * (this.X[1] - Math.pow(this.X[0], 2)); + } + } + + /** + * Dummy monit + */ + public static class MONIT_E04KF extends E04KF.Abstract_E04KF_MONIT { + public void eval() { + E04KFU e04kfu = new E04KFU(); + e04kfu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04kfu.getINFORM(); + } + } +} diff --git a/FOAS/migration/Readme.md b/FOAS/migration/Readme.md new file mode 100644 index 0000000..9cdd69f --- /dev/null +++ b/FOAS/migration/Readme.md @@ -0,0 +1,202 @@ +> ## Important Information +> You can view this page as a [webpage](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/FOAS/migration) or access this as a regular github [repository](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/FOAS/migration). +> +> The source of this example can be found [here](https://numericalalgorithmsgroup.github.io/NAGJavaExamples/FOAS/migration/Migration_E04DG_E04KF.java) and the output [here](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/FOAS/migration/output.txt). +> +> See the top directory of this repository for instructions to set up the [NAG Library for Java](https://github.com/numericalalgorithmsgroup/NAGJavaExamples). + +# Migrating from `E04DG` to `E04KF` + +This page illustrates the steps required to upgrade from the solver `uncon_conjgrd_comp` (`E04DG`) to `handle_solve_bounds_foas` (`E04KF`) introduced at Mark 27 of the NAG Library. + +From the usage perspective, the main difference between the solvers is the user call-backs, +`E04DG` has a single user call-back that can return *objective +function* and *gradient* evaluations, while `E04KF` has two separate user call-backs, +one for the *objective funtion* and one for the *objective gradient*. + +On this page the 2d Rosenbrock problem is solved with both solvers and illustrates the changes necessary for the migration to `E04KF`. The solution to the problem is (1, 1). + +```java +// Define E04DG user call-back +public static class OBJFUN_E04DG extends E04DG.Abstract_E04DG_OBJFUN { + public void eval() { + this.OBJF = Math.pow(1.0 - this.X[0], 2) + 100.0 * Math.pow(this.X[1] - Math.pow(this.X[0], 2), 2); + + if (this.MODE == 2) { + this.OBJGRD[0] = 2.0 * this.X[0] - 400.0 * this.X[0] * (this.X[1] - Math.pow(this.X[0], 2)) - 2.0; + this.OBJGRD[1] = 200.0 * (this.X[1] - Math.pow(this.X[0], 2)); + } + } +} +``` + +
    + +```java +// Define user call-backs for E04KF +/** + * Return the objective function value + */ +public static class OBJFUN_E04KF extends E04KF.Abstract_E04KF_OBJFUN { + public void eval() { + this.FX = Math.pow(1.0 - this.X[0], 2) + 100.0 * Math.pow(this.X[1] - Math.pow(this.X[0], 2), 2); + } +} + +/** + * The objective's gradient. Note that fdx has to be updated IN-PLACE + */ +public static class OBJGRD_E04KF extends E04KF.Abstract_E04KF_OBJGRD { + public void eval() { + this.FDX[0] = 2.0 * this.X[0] - 400.0 * this.X[0] * (this.X[1] - Math.pow(this.X[0], 2)) - 2.0; + this.FDX[1] = 200.0 * (this.X[1] - Math.pow(this.X[0], 2)); + } + +/** + * Dummy monit + */ +public static class MONIT_E04KF extends E04KF.Abstract_E04KF_MONIT { + public void eval() { + E04KFU e04kfu = new E04KFU(); + e04kfu.eval(this.NVAR, this.X, this.INFORM, this.RINFO, this.STATS, this.IUSER, this.RUSER, this.CPUSER); + this.INFORM = e04kfu.getINFORM(); + } +} +``` + +
    + +```java +// The initial guess +double[] x = new double[] { -1.5, 1.9 }; +``` + +## Solve the problem with `E04DG` + +```java +E04WB e04wb = new E04WB(); +String[] cwsav = new String[1]; +Arrays.fill(cwsav, " "); +boolean[] lwsav = new boolean[120]; +int[] iwsav = new int[610]; +double[] rwsav = new double[475]; +int ifail = 0; +e04wb.eval("e04dga", cwsav, 1, lwsav, 120, iwsav, 610, rwsav, 475, ifail); + +// Solve the problem with E04DG + +E04DG e04dg = new E04DG(); +OBJFUN_E04DG objfun_e04dg = new OBJFUN_E04DG(); +int n = x.length; +int iter = 0; +double objf = 0; +double[] objgrd = new double[n]; +int[] iwork = new int[n + 1]; +double[] work = new double[13 * n]; +int[] iuser = new int[0]; +double[] ruser = new double[0]; +ifail = 0; +e04dg.eval(n, objfun_e04dg, iter, objf, objgrd, x, iwork, work, iuser, ruser, lwsav, iwsav, rwsav, ifail); +``` + +
    + +``` +Solution: 1.0000067567705557 1.0000135365609837 +``` + +## Now solve with the new solver `E04KF` + +```java +// Now solve with the new solver E04KF + +// The initial guess +x = new double[] { -1.5, 1.9 }; + +E04RA e04ra = new E04RA(); +E04RG e04rg = new E04RG(); +E04RH e04rh = new E04RH(); +E04ZM e04zm = new E04ZM(); +E04KF e04kf = new E04KF(); + +// Create an empty handle for the problem +int nvar = x.length; +long handle = 0; +ifail = 0; +e04ra.eval(handle, nvar, ifail); +handle = e04ra.getHANDLE(); + +// Define the nonlinear objective in the handle +// Setup a gradient vector of length nvar +int[] idxfd = new int[nvar]; +for (int i = 0; i < nvar; i++) { + idxfd[i] = i + 1; +} +ifail = 0; +e04rg.eval(handle, nvar, idxfd, ifail); + +// Set some algorithmic options +ifail = 0; +e04zm.eval(handle, "Print Options = Yes", ifail); // print Options? +e04zm.eval(handle, "Print Solution = Yes", ifail); // print on the screen the solution point X +e04zm.eval(handle, "Print Level = 1", ifail); // print details of each iteration (screen) + +// Solve the problem and print the solution +OBJFUN_E04KF obfun_e04kf = new OBJFUN_E04KF(); +OBJGRD_E04KF objgrd_e04kf = new OBJGRD_E04KF(); +MONIT_E04KF monit_e04kf = new MONIT_E04KF(); +double[] rinfo = new double[100]; +double[] stats = new double[100]; +iuser = new int[0]; +ruser = new double[0]; +long cpuser = 0; +ifail = 0; +e04kf.eval(handle, obfun_e04kf, objgrd_e04kf, monit_e04kf, nvar, x, rinfo, stats, iuser, ruser, cpuser, ifail); + +// Destroy the handle and free allocated memory +E04RZ e04rz = new E04RZ(); +e04rz.eval(handle, ifail); +``` + +
    + +``` +E04KF, First order method for bound-constrained problems + Begin of Options + Print File = 6 * d + Print Level = 1 * U + Print Options = Yes * U + Print Solution = All * U + Monitoring File = -1 * d + Monitoring Level = 4 * d + Foas Monitor Frequency = 0 * d + Foas Print Frequency = 1 * d + + Infinite Bound Size = 1.00000E+20 * d + Task = Minimize * d + Stats Time = No * d + Time Limit = 1.00000E+06 * d + Verify Derivatives = No * d + + Foas Estimate Derivatives = No * d + Foas Finite Diff Interval = 1.05367E-08 * d + Foas Iteration Limit = 10000000 * d + Foas Memory = 11 * d + Foas Progress Tolerance = 1.08158E-12 * d + Foas Rel Stop Tolerance = 1.08158E-12 * d + Foas Restart Factor = 6.00000E+00 * d + Foas Slow Tolerance = 1.01316E-02 * d + Foas Stop Tolerance = 1.00000E-06 * d + Foas Tolerance Norm = Infinity * d + End of Options + + + Status: converged, an optimal solution was found + Value of the objective 2.12807E-15 + Norm of gradient 3.67342E-08 + + Primal variables: + idx Lower bound Value Upper bound + 1 -inf 1.00000E+00 inf + 2 -inf 1.00000E+00 inf +``` diff --git a/FOAS/migration/output.txt b/FOAS/migration/output.txt new file mode 100644 index 0000000000000000000000000000000000000000..6d9fdcc59830280b622c45a6264123918bee0329 GIT binary patch literal 6180 zcmdT|+invv5S?cv{$ZbiqHIH(fW!k;Q>mf_MA}L`ZZ9c;CMnw+@bSPoo*3JS({*-> z6tqg#UXRDebGLv0>dQnf^zikCypLJcdwlMeH@Fc1MzPtxtE16|^E{C9+ zS}|I>57;kvPYF_*+_xR8dcRJj-1O+4piMd7|18G12Yk2qT~u(e{8KUJ9zS9{^!k=p z_+E^0S#76a{DeLGmeUmDtiOhPoA0Gyd;_icdZ~kP-}vPa_DFxGWu8M5X_lFSF@x{V z>UvpwjAKl*%ruM{Vw}@K9iQ2O{0d_+AzI3^ge`qTBs_z3PvnQUlCGJGvE|KdhB1sn zRrrW96=Pjphu*ylNezrO(lQw#w;*55C7JXw^3!~EI&-ZU(l9gj`<-2WP>-L=EWJTt~meSF(UnDra|pWjNzwg_@u45MmX>(~w|);0Kc7hLR9 zN8=9T?i30ANNep(?zhw!M#Yi?ng3XXnKZ+=4_S>&2A|I^ZVkV+7^6>>H_qKoj?6g| zR2R%PSJQ~ZGYqv{n9MjEn_?JM*InS+fR3r_9I@PCZYIZ%K*NfPadUz*1f%9EVx(sm zkei+&3RD$Zzd1Sht(Y7)gR>$tBJI-6Y9_}%q&Shg1o_z&V;EJ}Jfr4_;Of^8r|Wbb zS7Wq3tr(kT8|O1I>tm)U;q4Yx_>Rd@DZ-k{j}y!2x(82X{l0qVZ0<75g`s3trT0Hz zOqG@Hg`ULhc!Q|Udnmo@;jKZ5c+Yzt-W@T<({A);hE)k8?G?WG_gERChMuDa7_k+9 zDxM~Ex|bt^i)S@!-m!c^i?LQ~zQwDpBf2s#brDmwB4NH-O#jd$x)&EI)LWT* z3ut4AUFZ!|%DQdrg|~=poRQZf)l~|QCN%$pzbHmMRa?tu<;pWdF}>YX-)JIU~Q)}FVm)*f0c#G@qYr~a%pYTTx;mem5bA9^iw!=tT|1N?3HAs{90<(N#CqBQH VQTq7YSzgus5Tjp@aPI10`~xP)Iidgn literal 0 HcmV?d00001 diff --git a/README.md b/README.md index e46ac6f..a8ae330 100644 --- a/README.md +++ b/README.md @@ -11,6 +11,7 @@ This repository contains examples and demonstrations using the [NAG Library for * [Quadratically constrained quadratic programming and its applications in portfolio optimization](./QCQP) * [Fast Implied Volatilities](./opt_imp_vol) * [Nonlinear Least-Squares Trust-Region Method (BXNL)](./BXNL) +* [First-order active-set method (FOAS)](./FOAS) ## Examples that ship with the product From 339d9e3dc2a8f442860aa43699ab8b79e4ea2307 Mon Sep 17 00:00:00 2001 From: Christos Date: Tue, 4 May 2021 15:32:38 +0300 Subject: [PATCH 174/196] Small doc fixes --- FOAS/Readme.md | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/FOAS/Readme.md b/FOAS/Readme.md index 0e83ef4..4149d65 100644 --- a/FOAS/Readme.md +++ b/FOAS/Readme.md @@ -16,7 +16,7 @@ FOAS is a [first-order nonlinear conjugate method](https://en.wikipedia.org/wiki e04kf is also part of the [NAG Optimization Modelling Suite](https://www.nag.co.uk/numeric/nl/nagdoc_latest/flhtml/e04/e04intro.html#optsuite) common handle interface. It offers clarity and consistency of the interface of the solvers within the suite, making it trivial to switch among compatible solvers. -The following example illustrates the simple usage of FOAS to solve the bound-constrained 2D version of the [Rosenbrock function](https://en.wikipedia.org/wiki/Rosenbrock_function) which is a classical test function to measure and profile performance of solvers. Source of this example is avaible in [Rosenbrock2d.java](example/Rosenbrock2d.java). +The following example illustrates the simple usage of FOAS to solve the bound-constrained 2D version of the [Rosenbrock function](https://en.wikipedia.org/wiki/Rosenbrock_function) which is a classical test function to measure and profile performance of solvers. Source of this example is avaible in [Rosenbrock2d.java](https://github.com/numericalalgorithmsgroup/NAGJavaExamples/tree/main/FOAS/example/Rosenbrock2d.java). It is also adviced to read this [page](./example) that explains the example.

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    +
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    {{ site.title | default: site.github.repository_name }}

    + + {% if site.logo %} + Logo + {% endif %} + +

    {{ site.description | default: site.github.project_tagline }}

    + + {% if site.github.is_project_page %} +

    View the Project on GitHub {{ site.github.repository_nwo }}

    + {% endif %} + + {% if site.github.is_user_page %} +

    View My GitHub Profile

    + {% endif %} + + {% if site.show_downloads %} + + {% endif %} +
    +
    + + {{ content }} + +
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