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weno_gauss_lobatto005003.c
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weno_gauss_lobatto005003.c
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#include <Python.h>
#include <numpy/ndarrayobject.h>
void
weights_gauss_lobatto005003 (const double *restrict sigma, int n, int ssi, int ssr,
double *restrict omega, int wsi, int wsl, int wsr)
{
int i;
double acc, sigma0, sigma1, sigma2, sigma3, sigma4, omega1, omega6p, omega0, omega9p, omega7m,
omega5p, omega9m, omega8m, omega12, omega11, omega5m, omega6m, omega10, omega7p, omega13,
omega4, omega14, omega3, omega8p, omega2;
for (i = 5; i < n - 5; i++)
{
sigma0 = sigma[i * ssi + 0 * ssr];
sigma1 = sigma[i * ssi + 1 * ssr];
sigma2 = sigma[i * ssi + 2 * ssr];
sigma3 = sigma[i * ssi + 3 * ssr];
sigma4 = sigma[i * ssi + 4 * ssr];
acc = 0.0;
omega0 = (+0.00793650793650794) / ((sigma0 + 1.0e-6) * (sigma0 + 1.0e-6));
acc = acc + omega0;
omega1 = (+0.158730158730159) / ((sigma1 + 1.0e-6) * (sigma1 + 1.0e-6));
acc = acc + omega1;
omega2 = (+0.476190476190476) / ((sigma2 + 1.0e-6) * (sigma2 + 1.0e-6));
acc = acc + omega2;
omega3 = (+0.317460317460317) / ((sigma3 + 1.0e-6) * (sigma3 + 1.0e-6));
acc = acc + omega3;
omega4 = (+0.0396825396825397) / ((sigma4 + 1.0e-6) * (sigma4 + 1.0e-6));
acc = acc + omega4;
omega0 = (omega0) / (acc);
omega1 = (omega1) / (acc);
omega2 = (omega2) / (acc);
omega3 = (omega3) / (acc);
omega4 = (omega4) / (acc);
acc = 0.0;
omega5p =
((+0.0032093603286385) / (+3.34858630952381)) / ((sigma0 + 1.0e-6) * (sigma0 + 1.0e-6));
acc = acc + omega5p;
omega6p =
((+0.221555024591996) / (+3.34858630952381)) / ((sigma1 + 1.0e-6) * (sigma1 + 1.0e-6));
acc = acc + omega6p;
omega7p =
((+2.89905753968254) / (+3.34858630952381)) / ((sigma2 + 1.0e-6) * (sigma2 + 1.0e-6));
acc = acc + omega7p;
omega8p =
((+0.221555024591996) / (+3.34858630952381)) / ((sigma3 + 1.0e-6) * (sigma3 + 1.0e-6));
acc = acc + omega8p;
omega9p =
((+0.0032093603286385) / (+3.34858630952381)) / ((sigma4 + 1.0e-6) * (sigma4 + 1.0e-6));
acc = acc + omega9p;
omega5p = (omega5p) / (acc);
omega6p = (omega6p) / (acc);
omega7p = (omega7p) / (acc);
omega8p = (omega8p) / (acc);
omega9p = (omega9p) / (acc);
acc = 0.0;
omega5m =
((+0.006418720657277) / (+2.34858630952381)) / ((sigma0 + 1.0e-6) * (sigma0 + 1.0e-6));
acc = acc + omega5m;
omega6m =
((+0.443110049183993) / (+2.34858630952381)) / ((sigma1 + 1.0e-6) * (sigma1 + 1.0e-6));
acc = acc + omega6m;
omega7m =
((+1.44952876984127) / (+2.34858630952381)) / ((sigma2 + 1.0e-6) * (sigma2 + 1.0e-6));
acc = acc + omega7m;
omega8m =
((+0.443110049183993) / (+2.34858630952381)) / ((sigma3 + 1.0e-6) * (sigma3 + 1.0e-6));
acc = acc + omega8m;
omega9m =
((+0.006418720657277) / (+2.34858630952381)) / ((sigma4 + 1.0e-6) * (sigma4 + 1.0e-6));
acc = acc + omega9m;
omega5m = (omega5m) / (acc);
omega6m = (omega6m) / (acc);
omega7m = (omega7m) / (acc);
omega8m = (omega8m) / (acc);
omega9m = (omega9m) / (acc);
acc = 0.0;
omega10 = (+0.0396825396825571) / ((sigma0 + 1.0e-6) * (sigma0 + 1.0e-6));
acc = acc + omega10;
omega11 = (+0.3174603174603) / ((sigma1 + 1.0e-6) * (sigma1 + 1.0e-6));
acc = acc + omega11;
omega12 = (+0.476190476190482) / ((sigma2 + 1.0e-6) * (sigma2 + 1.0e-6));
acc = acc + omega12;
omega13 = (+0.158730158730158) / ((sigma3 + 1.0e-6) * (sigma3 + 1.0e-6));
acc = acc + omega13;
omega14 = (+0.00793650793650794) / ((sigma4 + 1.0e-6) * (sigma4 + 1.0e-6));
acc = acc + omega14;
omega10 = (omega10) / (acc);
omega11 = (omega11) / (acc);
omega12 = (omega12) / (acc);
omega13 = (omega13) / (acc);
omega14 = (omega14) / (acc);
omega[i * wsi + 0 * wsl + 0 * wsr + 0] = omega0;
omega[i * wsi + 0 * wsl + 1 * wsr + 0] = omega1;
omega[i * wsi + 0 * wsl + 2 * wsr + 0] = omega2;
omega[i * wsi + 0 * wsl + 3 * wsr + 0] = omega3;
omega[i * wsi + 0 * wsl + 4 * wsr + 0] = omega4;
omega[i * wsi + 1 * wsl + 0 * wsr + 0] = omega5p;
omega[i * wsi + 1 * wsl + 0 * wsr + 1] = omega5m;
omega[i * wsi + 1 * wsl + 1 * wsr + 0] = omega6p;
omega[i * wsi + 1 * wsl + 1 * wsr + 1] = omega6m;
omega[i * wsi + 1 * wsl + 2 * wsr + 0] = omega7p;
omega[i * wsi + 1 * wsl + 2 * wsr + 1] = omega7m;
omega[i * wsi + 1 * wsl + 3 * wsr + 0] = omega8p;
omega[i * wsi + 1 * wsl + 3 * wsr + 1] = omega8m;
omega[i * wsi + 1 * wsl + 4 * wsr + 0] = omega9p;
omega[i * wsi + 1 * wsl + 4 * wsr + 1] = omega9m;
omega[i * wsi + 2 * wsl + 0 * wsr + 0] = omega10;
omega[i * wsi + 2 * wsl + 1 * wsr + 0] = omega11;
omega[i * wsi + 2 * wsl + 2 * wsr + 0] = omega12;
omega[i * wsi + 2 * wsl + 3 * wsr + 0] = omega13;
omega[i * wsi + 2 * wsl + 4 * wsr + 0] = omega14;
}
}
PyObject *
py_weights_gauss_lobatto005003 (PyObject * self, PyObject * args)
{
double *sigma, *omega;
PyArrayObject *sigma_py, *omega_py;
long int n;
int ssi, ssr, wsi, wsl, wsr;
/* parse options */
if (!PyArg_ParseTuple (args, "OO", &sigma_py, &omega_py))
return NULL;
if (sigma_py->nd != 2 || sigma_py->descr->type_num != PyArray_DOUBLE)
{
PyErr_SetString (PyExc_ValueError, "sigma must be two-dimensional and of type float");
return NULL;
}
if (omega_py->descr->type_num != PyArray_DOUBLE)
{
PyErr_SetString (PyExc_ValueError, "omega must be of type float");
return NULL;
}
if (!(omega_py->nd >= 2 && omega_py->nd <= 4))
{
PyErr_SetString (PyExc_ValueError, "omega must be two, three, or four dimensional");
return NULL;
}
/* get data, n, strides */
sigma = (double *) PyArray_DATA (sigma_py);
omega = (double *) PyArray_DATA (omega_py);
n = PyArray_DIM (omega_py, 0);
ssi = sigma_py->strides[0] / sizeof (double);
ssr = sigma_py->strides[1] / sizeof (double);
wsi = omega_py->strides[0] / sizeof (double);
if (omega_py->nd == 3)
{
wsl = omega_py->strides[1] / sizeof (double);
wsr = omega_py->strides[2] / sizeof (double);
}
else
{
wsl = 0;
wsr = omega_py->strides[1] / sizeof (double);
}
weights_gauss_lobatto005003 (sigma, n, ssi, ssr, omega, wsi, wsl, wsr);
Py_INCREF (Py_None);
return Py_None;
}
void
reconstruct_gauss_lobatto005003 (const double *restrict f, int n, int fsi,
const double *restrict omega, int wsi, int wsl, int wsr,
double *restrict fr, int frsi, int frsl)
{
int i;
double omega1, omega6p, omega0, omega9p, omega7m, omega5p, omega9m, omega8m, omega12, omega11,
omega5m, omega6m, omega10, omega7p, omega13, omega4, omega14, omega3, omega8p, omega2, fs0, fs1,
fs2, fr1, fr7, fr0, fr12, fr6, fr9, fr2, fr10, fr8, fr13, fr11, fr4, fr14, fr3, fr5;
for (i = 5; i < n - 5; i++)
{
omega0 = omega[i * wsi + 0 * wsl + 0 * wsr + 0];
omega1 = omega[i * wsi + 0 * wsl + 1 * wsr + 0];
omega2 = omega[i * wsi + 0 * wsl + 2 * wsr + 0];
omega3 = omega[i * wsi + 0 * wsl + 3 * wsr + 0];
omega4 = omega[i * wsi + 0 * wsl + 4 * wsr + 0];
omega5p = omega[i * wsi + 1 * wsl + 0 * wsr + 0];
omega5m = omega[i * wsi + 1 * wsl + 0 * wsr + 1];
omega6p = omega[i * wsi + 1 * wsl + 1 * wsr + 0];
omega6m = omega[i * wsi + 1 * wsl + 1 * wsr + 1];
omega7p = omega[i * wsi + 1 * wsl + 2 * wsr + 0];
omega7m = omega[i * wsi + 1 * wsl + 2 * wsr + 1];
omega8p = omega[i * wsi + 1 * wsl + 3 * wsr + 0];
omega8m = omega[i * wsi + 1 * wsl + 3 * wsr + 1];
omega9p = omega[i * wsi + 1 * wsl + 4 * wsr + 0];
omega9m = omega[i * wsi + 1 * wsl + 4 * wsr + 1];
omega10 = omega[i * wsi + 2 * wsl + 0 * wsr + 0];
omega11 = omega[i * wsi + 2 * wsl + 1 * wsr + 0];
omega12 = omega[i * wsi + 2 * wsl + 2 * wsr + 0];
omega13 = omega[i * wsi + 2 * wsl + 3 * wsr + 0];
omega14 = omega[i * wsi + 2 * wsl + 4 * wsr + 0];
fr0 =
(+2.28333333333333) * (f[(i + 0) * fsi]) + (-2.71666666666667) * (f[(i + 1) * fsi]) +
(+2.28333333333333) * (f[(i + 2) * fsi]) + (-1.05) * (f[(i + 3) * fsi]) +
(+0.2) * (f[(i + 4) * fsi]);
fr1 =
(+0.2) * (f[(i - 1) * fsi]) + (+1.28333333333333) * (f[(i + 0) * fsi]) +
(-0.716666666666667) * (f[(i + 1) * fsi]) + (+0.283333333333333) * (f[(i + 2) * fsi]) +
(-0.05) * (f[(i + 3) * fsi]);
fr2 =
(-0.05) * (f[(i - 2) * fsi]) + (+0.45) * (f[(i - 1) * fsi]) +
(+0.783333333333333) * (f[(i + 0) * fsi]) + (-0.216666666666667) * (f[(i + 1) * fsi]) +
(+0.0333333333333333) * (f[(i + 2) * fsi]);
fr3 =
(+0.0333333333333333) * (f[(i - 3) * fsi]) + (-0.216666666666667) * (f[(i - 2) * fsi]) +
(+0.783333333333333) * (f[(i - 1) * fsi]) + (+0.45) * (f[(i + 0) * fsi]) +
(-0.05) * (f[(i + 1) * fsi]);
fr4 =
(-0.05) * (f[(i - 4) * fsi]) + (+0.283333333333333) * (f[(i - 3) * fsi]) +
(-0.716666666666667) * (f[(i - 2) * fsi]) + (+1.28333333333333) * (f[(i - 1) * fsi]) +
(+0.2) * (f[(i + 0) * fsi]);
fr5 =
(+0.8796875) * (f[(i + 0) * fsi]) + (+0.35625) * (f[(i + 1) * fsi]) +
(-0.388541666666667) * (f[(i + 2) * fsi]) + (+0.189583333333333) * (f[(i + 3) * fsi]) +
(-0.0369791666666667) * (f[(i + 4) * fsi]);
fr6 =
(-0.0369791666666667) * (f[(i - 1) * fsi]) + (+1.06458333333333) * (f[(i + 0) * fsi]) +
(-0.0135416666666667) * (f[(i + 1) * fsi]) + (-0.01875) * (f[(i + 2) * fsi]) +
(+0.0046875) * (f[(i + 3) * fsi]);
fr7 =
(+0.0046875) * (f[(i - 2) * fsi]) + (-0.0604166666666667) * (f[(i - 1) * fsi]) +
(+1.11145833333333) * (f[(i + 0) * fsi]) + (-0.0604166666666667) * (f[(i + 1) * fsi]) +
(+0.0046875) * (f[(i + 2) * fsi]);
fr8 =
(+0.0046875) * (f[(i - 3) * fsi]) + (-0.01875) * (f[(i - 2) * fsi]) +
(-0.0135416666666667) * (f[(i - 1) * fsi]) + (+1.06458333333333) * (f[(i + 0) * fsi]) +
(-0.0369791666666667) * (f[(i + 1) * fsi]);
fr9 =
(-0.0369791666666667) * (f[(i - 4) * fsi]) + (+0.189583333333333) * (f[(i - 3) * fsi]) +
(-0.388541666666667) * (f[(i - 2) * fsi]) + (+0.35625) * (f[(i - 1) * fsi]) +
(+0.8796875) * (f[(i + 0) * fsi]);
fr10 =
(+0.2) * (f[(i + 0) * fsi]) + (+1.28333333333333) * (f[(i + 1) * fsi]) +
(-0.716666666666667) * (f[(i + 2) * fsi]) + (+0.283333333333334) * (f[(i + 3) * fsi]) +
(-0.05) * (f[(i + 4) * fsi]);
fr11 =
(-0.05) * (f[(i - 1) * fsi]) + (+0.45) * (f[(i + 0) * fsi]) +
(+0.783333333333333) * (f[(i + 1) * fsi]) + (-0.216666666666667) * (f[(i + 2) * fsi]) +
(+0.0333333333333333) * (f[(i + 3) * fsi]);
fr12 =
(+0.0333333333333333) * (f[(i - 2) * fsi]) + (-0.216666666666667) * (f[(i - 1) * fsi]) +
(+0.783333333333333) * (f[(i + 0) * fsi]) + (+0.45) * (f[(i + 1) * fsi]) +
(-0.05) * (f[(i + 2) * fsi]);
fr13 =
(-0.05) * (f[(i - 3) * fsi]) + (+0.283333333333333) * (f[(i - 2) * fsi]) +
(-0.716666666666667) * (f[(i - 1) * fsi]) + (+1.28333333333333) * (f[(i + 0) * fsi]) +
(+0.2) * (f[(i + 1) * fsi]);
fr14 =
(+0.2) * (f[(i - 4) * fsi]) + (-1.05) * (f[(i - 3) * fsi]) +
(+2.28333333333333) * (f[(i - 2) * fsi]) + (-2.71666666666667) * (f[(i - 1) * fsi]) +
(+2.28333333333333) * (f[(i + 0) * fsi]);
fs0 =
(omega0) * (fr0) + (omega1) * (fr1) + (omega2) * (fr2) + (omega3) * (fr3) +
(omega4) * (fr4);
fs1 =
((+3.34858630952381) *
((omega5p) * (fr5) + (omega6p) * (fr6) + (omega7p) * (fr7) + (omega8p) * (fr8) +
(omega9p) * (fr9))) - ((+2.34858630952381) * ((omega5m) * (fr5) + (omega6m) * (fr6) +
(omega7m) * (fr7) + (omega8m) * (fr8) +
(omega9m) * (fr9)));
fs2 =
(omega10) * (fr10) + (omega11) * (fr11) + (omega12) * (fr12) + (omega13) * (fr13) +
(omega14) * (fr14);
fr[i * frsi + 0 * frsl] = fs0;
fr[i * frsi + 1 * frsl] = fs1;
fr[i * frsi + 2 * frsl] = fs2;
}
}
PyObject *
py_reconstruct_gauss_lobatto005003 (PyObject * self, PyObject * args)
{
double *f, *omega, *fr;
PyArrayObject *f_py, *omega_py, *fr_py;
long int n;
int fsi, frsi, frsl, wsi, wsl, wsr;
/* parse options */
if (!PyArg_ParseTuple (args, "OOO", &f_py, &omega_py, &fr_py))
return NULL;
if (f_py->nd != 1 || f_py->descr->type_num != PyArray_DOUBLE)
{
PyErr_SetString (PyExc_ValueError, "f must be one-dimensional and of type float");
return NULL;
}
if (fr_py->descr->type_num != PyArray_DOUBLE)
{
PyErr_SetString (PyExc_ValueError, "fr must be of type float");
return NULL;
}
if (!(fr_py->nd == 1 || fr_py->nd == 2))
{
PyErr_SetString (PyExc_ValueError, "fr must be one or two dimensional");
return NULL;
}
if (omega_py->descr->type_num != PyArray_DOUBLE)
{
PyErr_SetString (PyExc_ValueError, "omega must be of type float");
return NULL;
}
if (!(omega_py->nd >= 2 && omega_py->nd <= 4))
{
PyErr_SetString (PyExc_ValueError, "omega must be two, three, or four dimensional");
return NULL;
}
/* get data, n, strides */
f = (double *) PyArray_DATA (f_py);
fr = (double *) PyArray_DATA (fr_py);
omega = (double *) PyArray_DATA (omega_py);
n = PyArray_DIM (omega_py, 0);
fsi = f_py->strides[0] / sizeof (double);
frsi = fr_py->strides[0] / sizeof (double);
if (n == 1)
{
frsl = 0;
}
else
{
frsl = fr_py->strides[1] / sizeof (double);
}
wsi = omega_py->strides[0] / sizeof (double);
if (omega_py->nd == 3)
{
wsl = omega_py->strides[1] / sizeof (double);
wsr = omega_py->strides[2] / sizeof (double);
}
else
{
wsl = 0;
wsr = omega_py->strides[1] / sizeof (double);
}
reconstruct_gauss_lobatto005003 (f, n, fsi, omega, wsi, wsl, wsr, fr, frsi, frsl);
Py_INCREF (Py_None);
return Py_None;
}