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SPACalculator.cs
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SPACalculator.cs
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using System;
namespace SPACalculator
{
public static class SPACalculator
{
public struct SPAData
{
//----------------------INPUT VALUES------------------------
public int Year; // 4-digit year, valid range: -2000 to 6000, error code: 1
public int Month; // 2-digit month, valid range: 1 to 12, error code: 2
public int Day; // 2-digit day, valid range: 1 to 31, error code: 3
public int Hour; // Observer local hour, valid range: 0 to 24, error code: 4
public int Minute; // Observer local minute, valid range: 0 to 59, error code: 5
public double Second; // Observer local second, valid range: 0 to <60, error code: 6
public double DeltaUt1; // Fractional second difference between UTC and UT which is used
// to adjust UTC for earth's irregular rotation rate and is derived
// from observation only and is reported in this bulletin:
// http://maia.usno.navy.mil/ser7/ser7.dat,
// where delta_ut1 = DUT1
// valid range: -1 to 1 second (exclusive), error code 17
public double DeltaT; // Difference between earth rotation time and terrestrial time
// It is derived from observation only and is reported in this
// bulletin: http://maia.usno.navy.mil/ser7/ser7.dat,
// where delta_t = 32.184 + (TAI-UTC) - DUT1
// valid range: -8000 to 8000 seconds, error code: 7
public double Timezone; // Observer time zone (negative west of Greenwich)
// valid range: -18 to 18 hours, error code: 8
public double Longitude; // Observer longitude (negative west of Greenwich)
// valid range: -180 to 180 degrees, error code: 9
public double Latitude; // Observer latitude (negative south of equator)
// valid range: -90 to 90 degrees, error code: 10
public double Elevation; // Observer elevation [meters]
// valid range: -6500000 or higher meters, error code: 11
public double Pressure; // Annual average local pressure [millibars]
// valid range: 0 to 5000 millibars, error code: 12
public double Temperature; // Annual average local temperature [degrees Celsius]
// valid range: -273 to 6000 degrees Celsius, error code; 13
public double Slope; // Surface slope (measured from the horizontal plane)
// valid range: -360 to 360 degrees, error code: 14
public double AzmRotation; // Surface azimuth rotation (measured from south to projection of
// surface normal on horizontal plane, negative east)
// valid range: -360 to 360 degrees, error code: 15
public double AtmosRefract; // Atmospheric refraction at sunrise and sunset (0.5667 deg is typical)
// valid range: -5 to 5 degrees, error code: 16
public CalculationMode Function; // Switch to choose functions for desired output (from enumeration)
//-----------------Intermediate OUTPUT VALUES--------------------
public double Jd; //Julian day
public double Jc; //Julian century
public double Jde; //Julian ephemeris day
public double Jce; //Julian ephemeris century
public double Jme; //Julian ephemeris millennium
public double L; //earth heliocentric longitude [degrees]
public double B; //earth heliocentric latitude [degrees]
public double R; //earth radius vector [Astronomical Units, AU]
public double Theta; //geocentric longitude [degrees]
public double Beta; //geocentric latitude [degrees]
public double X0; //mean elongation (moon-sun) [degrees]
public double X1; //mean anomaly (sun) [degrees]
public double X2; //mean anomaly (moon) [degrees]
public double X3; //argument latitude (moon) [degrees]
public double X4; //ascending longitude (moon) [degrees]
public double DelPsi; //nutation longitude [degrees]
public double DelEpsilon; //nutation obliquity [degrees]
public double Epsilon0; //ecliptic mean obliquity [arc seconds]
public double Epsilon; //ecliptic true obliquity [degrees]
public double DelTau; //aberration correction [degrees]
public double Lamda; //apparent sun longitude [degrees]
public double Nu0; //Greenwich mean sidereal time [degrees]
public double Nu; //Greenwich sidereal time [degrees]
public double Alpha; //geocentric sun right ascension [degrees]
public double Delta; //geocentric sun declination [degrees]
public double H; //observer hour angle [degrees]
public double Xi; //sun equatorial horizontal parallax [degrees]
public double DelAlpha; //sun right ascension parallax [degrees]
public double DeltaPrime; //topocentric sun declination [degrees]
public double AlphaPrime; //topocentric sun right ascension [degrees]
public double HPrime; //topocentric local hour angle [degrees]
public double E0; //topocentric elevation angle (uncorrected) [degrees]
public double DelE; //atmospheric refraction correction [degrees]
public double E; //topocentric elevation angle (corrected) [degrees]
public double Eot; //equation of time [minutes]
public double Srha; //sunrise hour angle [degrees]
public double Ssha; //sunset hour angle [degrees]
public double Sta; //sun transit altitude [degrees]
//---------------------Final OUTPUT VALUES------------------------
public double Zenith; //topocentric zenith angle [degrees]
public double AzimuthAstro; //topocentric azimuth angle (westward from south) [for astronomers]
public double Azimuth;
//topocentric azimuth angle (eastward from north) [for navigators and solar radiation]
public double Incidence; //surface incidence angle [degrees]
public double Suntransit; //local sun transit time (or solar noon) [fractional hour]
public double Sunrise; //local sunrise time (+/- 30 seconds) [fractional hour]
public double Sunset; //local sunset time (+/- 30 seconds) [fractional hour]
}
public enum CalculationMode
{
SPA_ZA, //calculate zenith and azimuth
SPA_ZA_INC, //calculate zenith, azimuth, and incidence
SPA_ZA_RTS, //calculate zenith, azimuth, and sun rise/transit/set values
SPA_ALL, //calculate all SPA output values
}
static double Pi = 3.1415926535897932384626433832795028841971;
static double SunRadius = 0.26667;
static int L_COUNT = 6;
static int B_COUNT = 2;
static int R_COUNT = 5;
static int Y_COUNT = 63;
static int L_MAX_SUBCOUNT = 64;
static int B_MAX_SUBCOUNT = 5;
static int R_MAX_SUBCOUNT = 40;
enum TERM1
{
TERM_A = 0,
TERM_B = 1,
TERM_C = 2,
TERM_COUNT = 3
};
enum TERM2
{
TERM_X0 = 0,
TERM_X1 = 1,
TERM_X2 = 2,
TERM_X3 = 3,
TERM_X4 = 4,
TERM_X_COUNT = 5,
TERM_Y_COUNT = 5
};
enum TERM3
{
TERM_PSI_A = 0,
TERM_PSI_B = 1,
TERM_EPS_C = 2,
TERM_EPS_D = 3,
TERM_PE_COUNT = 4
};
enum TERM4
{
JD_MINUS = 0,
JD_ZERO = 1,
JD_PLUS = 2,
JD_COUNT = 3
};
enum TERM5
{
SUN_TRANSIT = 0,
SUN_RISE = 1,
SUN_SET = 2,
SUN_COUNT = 3
};
static int[] l_subcount = { 64, 34, 20, 7, 3, 1 };
static int[] b_subcount = { 5, 2 };
static int[] r_subcount = { 40, 10, 6, 2, 1 };
static double[][][] L_TERMS = new double[][][]
{
new double[][]
{
new double[] {175347046.0, 0, 0},
new double[] {3341656.0, 4.6692568, 6283.07585},
new double[] {34894.0, 4.6261, 12566.1517},
new double[] {3497.0, 2.7441, 5753.3849},
new double[] {3418.0, 2.8289, 3.5231},
new double[] {3136.0, 3.6277, 77713.7715},
new double[] {2676.0, 4.4181, 7860.4194},
new double[] {2343.0, 6.1352, 3930.2097},
new double[] {1324.0, 0.7425, 11506.7698},
new double[] {1273.0, 2.0371, 529.691},
new double[] {1199.0, 1.1096, 1577.3435},
new double[] {990, 5.233, 5884.927},
new double[] {902, 2.045, 26.298},
new double[] {857, 3.508, 398.149},
new double[] {780, 1.179, 5223.694},
new double[] {753, 2.533, 5507.553},
new double[] {505, 4.583, 18849.228},
new double[] {492, 4.205, 775.523},
new double[] {357, 2.92, 0.067},
new double[] {317, 5.849, 11790.629},
new double[] {284, 1.899, 796.298},
new double[] {271, 0.315, 10977.079},
new double[] {243, 0.345, 5486.778},
new double[] {206, 4.806, 2544.314},
new double[] {205, 1.869, 5573.143},
new double[] {202, 2.458, 6069.777},
new double[] {156, 0.833, 213.299},
new double[] {132, 3.411, 2942.463},
new double[] {126, 1.083, 20.775},
new double[] {115, 0.645, 0.98},
new double[] {103, 0.636, 4694.003},
new double[] {102, 0.976, 15720.839},
new double[] {102, 4.267, 7.114},
new double[] {99, 6.21, 2146.17},
new double[] {98, 0.68, 155.42},
new double[] {86, 5.98, 161000.69},
new double[] {85, 1.3, 6275.96},
new double[] {85, 3.67, 71430.7},
new double[] {80, 1.81, 17260.15},
new double[] {79, 3.04, 12036.46},
new double[] {75, 1.76, 5088.63},
new double[] {74, 3.5, 3154.69},
new double[] {74, 4.68, 801.82},
new double[] {70, 0.83, 9437.76},
new double[] {62, 3.98, 8827.39},
new double[] {61, 1.82, 7084.9},
new double[] {57, 2.78, 6286.6},
new double[] {56, 4.39, 14143.5},
new double[] {56, 3.47, 6279.55},
new double[] {52, 0.19, 12139.55},
new double[] {52, 1.33, 1748.02},
new double[] {51, 0.28, 5856.48},
new double[] {49, 0.49, 1194.45},
new double[] {41, 5.37, 8429.24},
new double[] {41, 2.4, 19651.05},
new double[] {39, 6.17, 10447.39},
new double[] {37, 6.04, 10213.29},
new double[] {37, 2.57, 1059.38},
new double[] {36, 1.71, 2352.87},
new double[] {36, 1.78, 6812.77},
new double[] {33, 0.59, 17789.85},
new double[] {30, 0.44, 83996.85},
new double[] {30, 2.74, 1349.87},
new double[] {25, 3.16, 4690.48}
},
new double[][]
{
new double[] {628331966747.0, 0, 0},
new double[] {206059.0, 2.678235, 6283.07585},
new double[] {4303.0, 2.6351, 12566.1517},
new double[] {425.0, 1.59, 3.523},
new double[] {119.0, 5.796, 26.298},
new double[] {109.0, 2.966, 1577.344},
new double[] {93, 2.59, 18849.23},
new double[] {72, 1.14, 529.69},
new double[] {68, 1.87, 398.15},
new double[] {67, 4.41, 5507.55},
new double[] {59, 2.89, 5223.69},
new double[] {56, 2.17, 155.42},
new double[] {45, 0.4, 796.3},
new double[] {36, 0.47, 775.52},
new double[] {29, 2.65, 7.11},
new double[] {21, 5.34, 0.98},
new double[] {19, 1.85, 5486.78},
new double[] {19, 4.97, 213.3},
new double[] {17, 2.99, 6275.96},
new double[] {16, 0.03, 2544.31},
new double[] {16, 1.43, 2146.17},
new double[] {15, 1.21, 10977.08},
new double[] {12, 2.83, 1748.02},
new double[] {12, 3.26, 5088.63},
new double[] {12, 5.27, 1194.45},
new double[] {12, 2.08, 4694},
new double[] {11, 0.77, 553.57},
new double[] {10, 1.3, 6286.6},
new double[] {10, 4.24, 1349.87},
new double[] {9, 2.7, 242.73},
new double[] {9, 5.64, 951.72},
new double[] {8, 5.3, 2352.87},
new double[] {6, 2.65, 9437.76},
new double[] {6, 4.67, 4690.48}
},
new double[][]
{
new double[] {52919.0, 0, 0},
new double[] {8720.0, 1.0721, 6283.0758},
new double[] {309.0, 0.867, 12566.152},
new double[] {27, 0.05, 3.52},
new double[] {16, 5.19, 26.3},
new double[] {16, 3.68, 155.42},
new double[] {10, 0.76, 18849.23},
new double[] {9, 2.06, 77713.77},
new double[] {7, 0.83, 775.52},
new double[] {5, 4.66, 1577.34},
new double[] {4, 1.03, 7.11},
new double[] {4, 3.44, 5573.14},
new double[] {3, 5.14, 796.3},
new double[] {3, 6.05, 5507.55},
new double[] {3, 1.19, 242.73},
new double[] {3, 6.12, 529.69},
new double[] {3, 0.31, 398.15},
new double[] {3, 2.28, 553.57},
new double[] {2, 4.38, 5223.69},
new double[] {2, 3.75, 0.98}
},
new double[][]
{
new double[] {289.0, 5.844, 6283.076},
new double[] {35, 0, 0},
new double[] {17, 5.49, 12566.15},
new double[] {3, 5.2, 155.42},
new double[] {1, 4.72, 3.52},
new double[] {1, 5.3, 18849.23},
new double[] {1, 5.97, 242.73}
},
new double[][]
{
new double[] {114.0, 3.142, 0},
new double[] {8, 4.13, 6283.08},
new double[] {1, 3.84, 12566.15}
},
new double[][]
{
new double[] {1, 3.14, 0}
}
};
static double[][][] B_TERMS = new double[][][]
{
new double[][]
{
new double[] {280.0, 3.199, 84334.662},
new double[] {102.0, 5.422, 5507.553},
new double[] {80, 3.88, 5223.69},
new double[] {44, 3.7, 2352.87},
new double[] {32, 4, 1577.34}
},
new double[][]
{
new double[] {9, 3.9, 5507.55},
new double[] {6, 1.73, 5223.69}
}
};
static double[][][] R_TERMS = new double[][][]
{
new double[][]
{
new double[] {100013989.0, 0, 0},
new double[] {1670700.0, 3.0984635, 6283.07585},
new double[] {13956.0, 3.05525, 12566.1517},
new double[] {3084.0, 5.1985, 77713.7715},
new double[] {1628.0, 1.1739, 5753.3849},
new double[] {1576.0, 2.8469, 7860.4194},
new double[] {925.0, 5.453, 11506.77},
new double[] {542.0, 4.564, 3930.21},
new double[] {472.0, 3.661, 5884.927},
new double[] {346.0, 0.964, 5507.553},
new double[] {329.0, 5.9, 5223.694},
new double[] {307.0, 0.299, 5573.143},
new double[] {243.0, 4.273, 11790.629},
new double[] {212.0, 5.847, 1577.344},
new double[] {186.0, 5.022, 10977.079},
new double[] {175.0, 3.012, 18849.228},
new double[] {110.0, 5.055, 5486.778},
new double[] {98, 0.89, 6069.78},
new double[] {86, 5.69, 15720.84},
new double[] {86, 1.27, 161000.69},
new double[] {65, 0.27, 17260.15},
new double[] {63, 0.92, 529.69},
new double[] {57, 2.01, 83996.85},
new double[] {56, 5.24, 71430.7},
new double[] {49, 3.25, 2544.31},
new double[] {47, 2.58, 775.52},
new double[] {45, 5.54, 9437.76},
new double[] {43, 6.01, 6275.96},
new double[] {39, 5.36, 4694},
new double[] {38, 2.39, 8827.39},
new double[] {37, 0.83, 19651.05},
new double[] {37, 4.9, 12139.55},
new double[] {36, 1.67, 12036.46},
new double[] {35, 1.84, 2942.46},
new double[] {33, 0.24, 7084.9},
new double[] {32, 0.18, 5088.63},
new double[] {32, 1.78, 398.15},
new double[] {28, 1.21, 6286.6},
new double[] {28, 1.9, 6279.55},
new double[] {26, 4.59, 10447.39}
},
new double[][]
{
new double[] {103019.0, 1.10749, 6283.07585},
new double[] {1721.0, 1.0644, 12566.1517},
new double[] {702.0, 3.142, 0},
new double[] {32, 1.02, 18849.23},
new double[] {31, 2.84, 5507.55},
new double[] {25, 1.32, 5223.69},
new double[] {18, 1.42, 1577.34},
new double[] {10, 5.91, 10977.08},
new double[] {9, 1.42, 6275.96},
new double[] {9, 0.27, 5486.78}
},
new double[][]
{
new double[] {4359.0, 5.7846, 6283.0758},
new double[] {124.0, 5.579, 12566.152},
new double[] {12, 3.14, 0},
new double[] {9, 3.63, 77713.77},
new double[] {6, 1.87, 5573.14},
new double[] {3, 5.47, 18849.23}
},
new double[][]
{
new double[] {145.0, 4.273, 6283.076},
new double[] {7, 3.92, 12566.15}
},
new double[][]
{
new double[] {4, 2.56, 6283.08}
}
};
static int[][] Y_TERMS = new int[][]
{
new int[] {0, 0, 0, 0, 1},
new int[] {-2, 0, 0, 2, 2},
new int[] {0, 0, 0, 2, 2},
new int[] {0, 0, 0, 0, 2},
new int[] {0, 1, 0, 0, 0},
new int[] {0, 0, 1, 0, 0},
new int[] {-2, 1, 0, 2, 2},
new int[] {0, 0, 0, 2, 1},
new int[] {0, 0, 1, 2, 2},
new int[] {-2, -1, 0, 2, 2},
new int[] {-2, 0, 1, 0, 0},
new int[] {-2, 0, 0, 2, 1},
new int[] {0, 0, -1, 2, 2},
new int[] {2, 0, 0, 0, 0},
new int[] {0, 0, 1, 0, 1},
new int[] {2, 0, -1, 2, 2},
new int[] {0, 0, -1, 0, 1},
new int[] {0, 0, 1, 2, 1},
new int[] {-2, 0, 2, 0, 0},
new int[] {0, 0, -2, 2, 1},
new int[] {2, 0, 0, 2, 2},
new int[] {0, 0, 2, 2, 2},
new int[] {0, 0, 2, 0, 0},
new int[] {-2, 0, 1, 2, 2},
new int[] {0, 0, 0, 2, 0},
new int[] {-2, 0, 0, 2, 0},
new int[] {0, 0, -1, 2, 1},
new int[] {0, 2, 0, 0, 0},
new int[] {2, 0, -1, 0, 1},
new int[] {-2, 2, 0, 2, 2},
new int[] {0, 1, 0, 0, 1},
new int[] {-2, 0, 1, 0, 1},
new int[] {0, -1, 0, 0, 1},
new int[] {0, 0, 2, -2, 0},
new int[] {2, 0, -1, 2, 1},
new int[] {2, 0, 1, 2, 2},
new int[] {0, 1, 0, 2, 2},
new int[] {-2, 1, 1, 0, 0},
new int[] {0, -1, 0, 2, 2},
new int[] {2, 0, 0, 2, 1},
new int[] {2, 0, 1, 0, 0},
new int[] {-2, 0, 2, 2, 2},
new int[] {-2, 0, 1, 2, 1},
new int[] {2, 0, -2, 0, 1},
new int[] {2, 0, 0, 0, 1},
new int[] {0, -1, 1, 0, 0},
new int[] {-2, -1, 0, 2, 1},
new int[] {-2, 0, 0, 0, 1},
new int[] {0, 0, 2, 2, 1},
new int[] {-2, 0, 2, 0, 1},
new int[] {-2, 1, 0, 2, 1},
new int[] {0, 0, 1, -2, 0},
new int[] {-1, 0, 1, 0, 0},
new int[] {-2, 1, 0, 0, 0},
new int[] {1, 0, 0, 0, 0},
new int[] {0, 0, 1, 2, 0},
new int[] {0, 0, -2, 2, 2},
new int[] {-1, -1, 1, 0, 0},
new int[] {0, 1, 1, 0, 0},
new int[] {0, -1, 1, 2, 2},
new int[] {2, -1, -1, 2, 2},
new int[] {0, 0, 3, 2, 2},
new int[] {2, -1, 0, 2, 2},
};
static double[][] PE_TERMS = new double[][]
{
new double[] {-171996, -174.2, 92025, 8.9},
new double[] {-13187, -1.6, 5736, -3.1},
new double[] {-2274, -0.2, 977, -0.5},
new double[] {2062, 0.2, -895, 0.5},
new double[] {1426, -3.4, 54, -0.1},
new double[] {712, 0.1, -7, 0},
new double[] {-517, 1.2, 224, -0.6},
new double[] {-386, -0.4, 200, 0},
new double[] {-301, 0, 129, -0.1},
new double[] {217, -0.5, -95, 0.3},
new double[] {-158, 0, 0, 0},
new double[] {129, 0.1, -70, 0},
new double[] {123, 0, -53, 0},
new double[] {63, 0, 0, 0},
new double[] {63, 0.1, -33, 0},
new double[] {-59, 0, 26, 0},
new double[] {-58, -0.1, 32, 0},
new double[] {-51, 0, 27, 0},
new double[] {48, 0, 0, 0},
new double[] {46, 0, -24, 0},
new double[] {-38, 0, 16, 0},
new double[] {-31, 0, 13, 0},
new double[] {29, 0, 0, 0},
new double[] {29, 0, -12, 0},
new double[] {26, 0, 0, 0},
new double[] {-22, 0, 0, 0},
new double[] {21, 0, -10, 0},
new double[] {17, -0.1, 0, 0},
new double[] {16, 0, -8, 0},
new double[] {-16, 0.1, 7, 0},
new double[] {-15, 0, 9, 0},
new double[] {-13, 0, 7, 0},
new double[] {-12, 0, 6, 0},
new double[] {11, 0, 0, 0},
new double[] {-10, 0, 5, 0},
new double[] {-8, 0, 3, 0},
new double[] {7, 0, -3, 0},
new double[] {-7, 0, 0, 0},
new double[] {-7, 0, 3, 0},
new double[] {-7, 0, 3, 0},
new double[] {6, 0, 0, 0},
new double[] {6, 0, -3, 0},
new double[] {6, 0, -3, 0},
new double[] {-6, 0, 3, 0},
new double[] {-6, 0, 3, 0},
new double[] {5, 0, 0, 0},
new double[] {-5, 0, 3, 0},
new double[] {-5, 0, 3, 0},
new double[] {-5, 0, 3, 0},
new double[] {4, 0, 0, 0},
new double[] {4, 0, 0, 0},
new double[] {4, 0, 0, 0},
new double[] {-4, 0, 0, 0},
new double[] {-4, 0, 0, 0},
new double[] {-4, 0, 0, 0},
new double[] {3, 0, 0, 0},
new double[] {-3, 0, 0, 0},
new double[] {-3, 0, 0, 0},
new double[] {-3, 0, 0, 0},
new double[] {-3, 0, 0, 0},
new double[] {-3, 0, 0, 0},
new double[] {-3, 0, 0, 0},
new double[] {-3, 0, 0, 0},
};
static double RadToDeg(double radians)
{
return (180.0 / Pi) * radians;
}
static double DegToRad(double degrees)
{
return (Pi / 180.0) * degrees;
}
static int Integer(double value)
{
return (int)value;
}
static double LimitDegrees(double degrees)
{
degrees /= 360.0;
var limited = 360.0 * (degrees - Math.Floor(degrees));
if (limited < 0) limited += 360.0;
return limited;
}
static double LimitDegrees180pm(double degrees)
{
degrees /= 360.0;
var limited = 360.0 * (degrees - Math.Floor(degrees));
if (limited < -180.0) limited += 360.0;
else if (limited > 180.0) limited -= 360.0;
return limited;
}
static double LimitDegrees180(double degrees)
{
degrees /= 180.0;
var limited = 180.0 * (degrees - Math.Floor(degrees));
if (limited < 0) limited += 180.0;
return limited;
}
static double LimitZeroToOne(double value)
{
var limited = value - Math.Floor(value);
if (limited < 0) limited += 1.0;
return limited;
}
static double LimitMinutes(double minutes)
{
double limited = minutes;
if (limited < -20.0) limited += 1440.0;
else if (limited > 20.0) limited -= 1440.0;
return limited;
}
static double DayFracToLocalHr(double dayfrac, double timezone)
{
return 24.0 * LimitZeroToOne(dayfrac + timezone / 24.0);
}
static double ThirdOrderPolynomial(double a, double b, double c, double d, double x)
{
return ((a * x + b) * x + c) * x + d;
}
public static int ValidateInputs(ref SPAData spa)
{
if ((spa.Year < -2000) || (spa.Year > 6000)) return 1;
if ((spa.Month < 1) || (spa.Month > 12)) return 2;
if ((spa.Day < 1) || (spa.Day > 31)) return 3;
if ((spa.Hour < 0) || (spa.Hour > 24)) return 4;
if ((spa.Minute < 0) || (spa.Minute > 59)) return 5;
if ((spa.Second < 0) || (spa.Second >= 60)) return 6;
if ((spa.Pressure < 0) || (spa.Pressure > 5000)) return 12;
if ((spa.Temperature <= -273) || (spa.Temperature > 6000)) return 13;
if ((spa.DeltaUt1 <= -1) || (spa.DeltaUt1 >= 1)) return 17;
if ((spa.Hour == 24) && (spa.Minute > 0)) return 5;
if ((spa.Hour == 24) && (spa.Second > 0)) return 6;
if (Math.Abs(spa.DeltaT) > 8000) return 7;
if (Math.Abs(spa.Timezone) > 18) return 8;
if (Math.Abs(spa.Longitude) > 180) return 9;
if (Math.Abs(spa.Latitude) > 90) return 10;
if (Math.Abs(spa.AtmosRefract) > 5) return 16;
if (spa.Elevation < -6500000) return 11;
if ((spa.Function == CalculationMode.SPA_ZA_INC) || (spa.Function == CalculationMode.SPA_ALL))
{
if (Math.Abs(spa.Slope) > 360) return 14;
if (Math.Abs(spa.AzmRotation) > 360) return 15;
}
return 0;
}
static double JulianDay(int year, int month, int day, int hour, int minute, double second, double dut1,
double tz)
{
var dayDecimal = day + (hour - tz + (minute + (second + dut1) / 60.0) / 60.0) / 24.0;
if (month < 3)
{
month += 12;
year--;
}
var julianDay = Integer(365.25 * (year + 4716.0)) + Integer(30.6001 * (month + 1)) + dayDecimal - 1524.5;
if (julianDay > 2299160.0)
{
double a = Integer(year / 100);
julianDay += (2 - a + Integer(a / 4));
}
return julianDay;
}
static double JulianCentury(double jd)
{
return (jd - 2451545.0) / 36525.0;
}
static double JulianEphemerisDay(double jd, double deltaT)
{
return jd + deltaT / 86400.0;
}
static double JulianEphemerisCentury(double jde)
{
return (jde - 2451545.0) / 36525.0;
}
static double JulianEphemerisMillennium(double jce)
{
return (jce / 10.0);
}
static double EarthPeriodicTermSummation(double[][] terms, int count, double jme)
{
int i;
double sum = 0;
for (i = 0; i < count; i++)
sum += terms[i][(int)TERM1.TERM_A] *
Math.Cos(terms[i][(int)TERM1.TERM_B] + terms[i][(int)TERM1.TERM_C] * jme);
return sum;
}
static double EarthValues(double[] termSum, int count, double jme)
{
int i;
double sum = 0;
for (i = 0; i < count; i++)
sum += termSum[i] * Math.Pow(jme, i);
sum /= 1.0e8;
return sum;
}
static double EarthHeliocentricLongitude(double jme)
{
double[] sum = new double[L_COUNT];
int i;
for (i = 0; i < L_COUNT; i++)
sum[i] = EarthPeriodicTermSummation(L_TERMS[i], l_subcount[i], jme);
return LimitDegrees(RadToDeg(EarthValues(sum, L_COUNT, jme)));
}
static double EarthHeliocentricLatitude(double jme)
{
double[] sum = new double[L_COUNT];
int i;
for (i = 0; i < B_COUNT; i++)
sum[i] = EarthPeriodicTermSummation(B_TERMS[i], b_subcount[i], jme);
return RadToDeg(EarthValues(sum, B_COUNT, jme));
}
static double EarthRadiusVector(double jme)
{
double[] sum = new double[R_COUNT];
int i;
for (i = 0; i < R_COUNT; i++)
sum[i] = EarthPeriodicTermSummation(R_TERMS[i], r_subcount[i], jme);
return EarthValues(sum, R_COUNT, jme);
}
static double GeocentricLongitude(double l)
{
double theta = l + 180.0;
if (theta >= 360.0) theta -= 360.0;
return theta;
}
static double GeocentricLatitude(double b)
{
return -b;
}
static double MeanElongationMoonSun(double jce)
{
return ThirdOrderPolynomial(1.0 / 189474.0, -0.0019142, 445267.11148, 297.85036, jce);
}
static double MeanAnomalySun(double jce)
{
return ThirdOrderPolynomial(-1.0 / 300000.0, -0.0001603, 35999.05034, 357.52772, jce);
}
static double MeanAnomalyMoon(double jce)
{
return ThirdOrderPolynomial(1.0 / 56250.0, 0.0086972, 477198.867398, 134.96298, jce);
}
static double ArgumentLatitudeMoon(double jce)
{
return ThirdOrderPolynomial(1.0 / 327270.0, -0.0036825, 483202.017538, 93.27191, jce);
}
static double AscendingLongitudeMoon(double jce)
{
return ThirdOrderPolynomial(1.0 / 450000.0, 0.0020708, -1934.136261, 125.04452, jce);
}
static double XYTermSummation(int i, double[] x = null)
{
x = x ?? new double[(int)TERM2.TERM_X_COUNT];
int j;
double sum = 0;
for (j = 0; j < (int)TERM2.TERM_Y_COUNT; j++)
sum += x[j] * Y_TERMS[i][j];
return sum;
}
static void NutationLongitudeAndObliquity(double jce, double[] x, ref double delPsi,
ref double delEpsilon)
{
int i;
double sumPsi = 0, sumEpsilon = 0;
for (i = 0; i < Y_COUNT; i++)
{
var xyTermSum = DegToRad(XYTermSummation(i, x));
sumPsi += (PE_TERMS[i][(int)TERM3.TERM_PSI_A] + jce * PE_TERMS[i][(int)TERM3.TERM_PSI_B]) *
Math.Sin(xyTermSum);
sumEpsilon += (PE_TERMS[i][(int)TERM3.TERM_EPS_C] + jce * PE_TERMS[i][(int)TERM3.TERM_EPS_D]) *
Math.Cos(xyTermSum);
}
delPsi = sumPsi / 36000000.0;
delEpsilon = sumEpsilon / 36000000.0;
}
static double EclipticMeanObliquity(double jme)
{
double u = jme / 10.0;
return 84381.448 + u * (-4680.93 + u * (-1.55 + u * (1999.25 + u * (-51.38 + u * (-249.67 + u * (-39.05 + u * (7.12 + u * (27.87 + u * (5.79 + u * 2.45)))))))));
}
static double EclipticTrueObliquity(double deltaEpsilon, double epsilon0)
{
return deltaEpsilon + epsilon0 / 3600.0;
}
static double AberrationCorrection(double r)
{
return -20.4898 / (3600.0 * r);
}
static double ApparentSunLongitude(double theta, double deltaPsi, double deltaTau)
{
return theta + deltaPsi + deltaTau;
}
static double GreenwichMeanSiderealTime(double jd, double jc)
{
return LimitDegrees(280.46061837 + 360.98564736629 * (jd - 2451545.0) +
jc * jc * (0.000387933 - jc / 38710000.0));
}
static double GreenwichSiderealTime(double nu0, double deltaPsi, double epsilon)
{
return nu0 + deltaPsi * Math.Cos(DegToRad(epsilon));
}
static double GeocentricRightAscension(double lamda, double epsilon, double beta)
{
double lamdaRad = DegToRad(lamda);
double epsilonRad = DegToRad(epsilon);
return LimitDegrees(RadToDeg(Math.Atan2(Math.Sin(lamdaRad) * Math.Cos(epsilonRad) -
Math.Tan(DegToRad(beta)) * Math.Sin(epsilonRad), Math.Cos(lamdaRad))));
}
static double GeocentricDeclination(double beta, double epsilon, double lamda)
{
double betaRad = DegToRad(beta);
double epsilonRad = DegToRad(epsilon);
return RadToDeg(Math.Asin(Math.Sin(betaRad) * Math.Cos(epsilonRad) +
Math.Cos(betaRad) * Math.Sin(epsilonRad) * Math.Sin(DegToRad(lamda))));
}
static double ObserverHourAngle(double nu, double longitude, double alphaDeg)
{
return LimitDegrees(nu + longitude - alphaDeg);
}
static double SunEquatorialHorizontalParallax(double r)
{
return 8.794 / (3600.0 * r);
}
static void RightAscensionParallaxAndTopocentricDec(double latitude, double elevation,
double xi, double h, double delta, ref double deltaAlpha, ref double deltaPrime)
{
double latRad = DegToRad(latitude);
double xiRad = DegToRad(xi);
double hRad = DegToRad(h);
double deltaRad = DegToRad(delta);
double u = Math.Atan(0.99664719 * Math.Tan(latRad));
double y = 0.99664719 * Math.Sin(u) + elevation * Math.Sin(latRad) / 6378140.0;
double x = Math.Cos(u) + elevation * Math.Cos(latRad) / 6378140.0;
var deltaAlphaRad = Math.Atan2(-x * Math.Sin(xiRad) * Math.Sin(hRad),
Math.Cos(deltaRad) - x * Math.Sin(xiRad) * Math.Cos(hRad));
deltaPrime = RadToDeg(Math.Atan2((Math.Sin(deltaRad) - y * Math.Sin(xiRad)) * Math.Cos(deltaAlphaRad),
Math.Cos(deltaRad) - x * Math.Sin(xiRad) * Math.Cos(hRad)));
deltaAlpha = RadToDeg(deltaAlphaRad);
}
static double TopocentricRightAscension(double alphaDeg, double deltaAlpha)
{
return alphaDeg + deltaAlpha;
}
static double TopocentricLocalHourAngle(double h, double deltaAlpha)
{
return h - deltaAlpha;
}
static double TopocentricElevationAngle(double latitude, double deltaPrime, double hPrime)
{
double latRad = DegToRad(latitude);
double deltaPrimeRad = DegToRad(deltaPrime);
return RadToDeg(Math.Asin(Math.Sin(latRad) * Math.Sin(deltaPrimeRad) +
Math.Cos(latRad) * Math.Cos(deltaPrimeRad) * Math.Cos(DegToRad(hPrime))));
}
static double AtmosphericRefractionCorrection(double pressure, double temperature,
double atmosRefract, double e0)
{
double delE = 0;
if (e0 >= -1 * (SunRadius + atmosRefract))
delE = (pressure / 1010.0) * (283.0 / (273.0 + temperature)) *
1.02 / (60.0 * Math.Tan(DegToRad(e0 + 10.3 / (e0 + 5.11))));
return delE;
}
static double TopocentricElevationAngleCorrected(double e0, double deltaE)
{
return e0 + deltaE;
}
static double TopocentricZenithAngle(double e)
{
return 90.0 - e;
}
static double TopocentricAzimuthAngleAstro(double hPrime, double latitude, double deltaPrime)
{
double hPrimeRad = DegToRad(hPrime);
double latRad = DegToRad(latitude);
return LimitDegrees(RadToDeg(Math.Atan2(Math.Sin(hPrimeRad), Math.Cos(hPrimeRad) * Math.Sin(latRad) - Math.Tan(DegToRad(deltaPrime)) * Math.Cos(latRad))));
}
static double TopocentricAzimuthAngle(double azimuthAstro)
{
return LimitDegrees(azimuthAstro + 180.0);
}
static double SurfaceIncidenceAngle(double zenith, double azimuthAstro, double azmRotation,
double slope)
{
double zenithRad = DegToRad(zenith);
double slopeRad = DegToRad(slope);
return RadToDeg(Math.Acos(Math.Cos(zenithRad) * Math.Cos(slopeRad) + Math.Sin(slopeRad) * Math.Sin(zenithRad) * Math.Cos(DegToRad(azimuthAstro - azmRotation))));
}
static double SunMeanLongitude(double jme)
{
return LimitDegrees(280.4664567 + jme * (360007.6982779 + jme * (0.03032028 + jme * (1 / 49931.0 + jme * (-1 / 15300.0 + jme * (-1 / 2000000.0))))));
}
static double EquationOfTime(double m, double alpha, double delPsi, double epsilon)