[3] | 1 | // %flair:license{
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[15] | 2 | // This file is part of the Flair framework distributed under the
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| 3 | // CECILL-C License, Version 1.0.
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[3] | 4 | // %flair:license}
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| 5 | #ifndef GEODESIE_H
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| 6 | #define GEODESIE_H
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| 7 |
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| 8 | #include <cmath>
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| 9 | #include <iostream>
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| 10 | #include <vector>
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| 11 |
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| 12 | namespace Geodesie {
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| 13 |
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| 14 | #ifndef M_PI
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[15] | 15 | #define M_PI 3.14159265358979323846
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[3] | 16 | #endif
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| 17 | #ifndef M_PI_2
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[15] | 18 | #define M_PI_2 1.57079632679489661923
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[3] | 19 | #endif
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| 20 | #ifndef M_PI_4
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[15] | 21 | #define M_PI_4 0.78539816339744830962
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[3] | 22 | #endif
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| 23 |
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| 24 | ////////////////////////////////////////////////////////////////////////
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| 25 | struct Matrice {
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[15] | 26 | Matrice(const Matrice &A);
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| 27 | Matrice();
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| 28 | void Apply(double v0, double v1, double v2, double &Mv0, double &Mv1,
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| 29 | double &Mv2);
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| 30 | double c0_l0;
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| 31 | double c1_l0;
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| 32 | double c2_l0;
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| 33 | double c0_l1;
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| 34 | double c1_l1;
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| 35 | double c2_l1;
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| 36 | double c0_l2;
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| 37 | double c1_l2;
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| 38 | double c2_l2;
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[3] | 39 | }; // class
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| 40 |
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| 41 | Matrice TransMat(const Matrice A);
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| 42 |
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[15] | 43 | Matrice ProdMat(const Matrice A, const Matrice B);
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| 44 | void Write(const Matrice A, std::ostream &out);
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[3] | 45 |
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| 46 | ////////////////////////////////////////////////////////////////////////
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| 47 | class Raf98 {
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[15] | 48 | private:
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| 49 | std::vector<double> m_dvalues;
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| 50 | double LitGrille(unsigned int c, unsigned int l) const;
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| 51 |
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| 52 | public:
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| 53 | ~Raf98();
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| 54 | Raf98() {}
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| 55 | bool Load(const std::string &s);
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| 56 | bool Interpol(double longitude /*deg*/, double latitude /*deg*/,
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| 57 | double *Hwgs84) const;
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[3] | 58 | }; // class
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| 59 | ////////////////////////////////////////////////////////////////////////
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| 60 |
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| 61 | ////////////////////////////////////////////////////////////////////////
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[15] | 62 | inline double Deg2Rad(double deg) { return deg * M_PI / 180.0; }
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| 63 | inline double Rad2Deg(double rad) { return rad * 180.0 / M_PI; }
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[3] | 64 | ////////////////////////////////////////////////////////////////////////
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| 65 |
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[15] | 66 | const double a_Lambert93 = 6378137;
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| 67 | const double f_Lambert93 = 1 / 298.257222101;
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| 68 | const double e_Lambert93 = sqrt(f_Lambert93 * (2 - f_Lambert93));
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| 69 | const double lambda0_Lambert93 = Deg2Rad(3.0); // degres
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| 70 | const double phi0_Lambert93 = Deg2Rad(46.5);
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| 71 | const double phi1_Lambert93 = Deg2Rad(44.0);
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| 72 | const double phi2_Lambert93 = Deg2Rad(49.0); // degres
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[16] | 73 | const double X0_Lambert93 = 700000; //
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| 74 | const double Y0_Lambert93 = 6600000; //
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[3] | 75 | const double n_Lambert93 = 0.7256077650;
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| 76 | const double c_Lambert93 = 11754255.426;
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| 77 | const double xs_Lambert93 = 700000;
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| 78 | const double ys_Lambert93 = 12655612.050;
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| 79 |
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| 80 | const double GRS_a = 6378137;
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[15] | 81 | const double GRS_f = 1 / 298.257222101;
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| 82 | const double GRS_b = GRS_a * (1 - GRS_f);
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| 83 | const double GRS_e = sqrt((pow(GRS_a, 2) - pow(GRS_b, 2)) / pow(GRS_a, 2));
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[3] | 84 |
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| 85 | ////////////////////////////////////////////////////////////////////////
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[15] | 86 | void Geographique_2_Lambert93(const Raf98 &raf98, double lambda, double phi,
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| 87 | double he, Matrice in, double &E, double &N,
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| 88 | double &h, Matrice &out);
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| 89 | void Geographique_2_Lambert93(const Raf98 &raf98, double lambda, double phi,
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| 90 | double he, double &E, double &N, double &h);
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| 91 | void Lambert93_2_Geographique(const Raf98 &raf98, double E, double N, double h,
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| 92 | double &lambda, double &phi, double &he);
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| 93 | void Lambert93_2_Geographique(const Raf98 &raf98, double E, double N, double h,
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| 94 | Matrice in, double &lambda, double &phi,
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| 95 | double &he, Matrice &out);
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[3] | 96 | /** Convert from geographique to ECEF.
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| 97 | * @param[in] longitude Longitude in radian.
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| 98 | * @param[in] latitude Latitude in radian.
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| 99 | * @param[in] he Height in meter.
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| 100 | */
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[15] | 101 | void Geographique_2_ECEF(double longitude, double latitude, double he,
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| 102 | double &x, double &y, double &z);
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[55] | 103 |
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| 104 | /** Convert from ECEF to geographique.
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| 105 | */
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| 106 | void ECEF_2_Geographique(double x, double y, double z,
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| 107 | double &longitude, double &latitude, double &he);
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| 108 |
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| 109 | /** Convert from ECEF to ENU.
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[3] | 110 | * @param[in] lon0 Longitude of the origin in radian.
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| 111 | * @param[in] lat0 Latitude of the origin in radian.
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| 112 | * @param[in] he0 Height of the origin in radian.
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| 113 | */
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[15] | 114 | void ECEF_2_ENU(double x, double y, double z, double &e, double &n, double &u,
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| 115 | double lon0, double lat0, double he0);
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[55] | 116 |
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| 117 | /** Convert from ECEF to ENU.
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| 118 | * @param[in] lon0 Longitude of the origin in radian.
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| 119 | * @param[in] lat0 Latitude of the origin in radian.
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| 120 | * @param[in] he0 Height of the origin in radian.
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| 121 | */
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| 122 | void ENU_2_ECEF(double e, double n, double u,double &x, double &y, double &z,
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| 123 | double lon0, double lat0, double he0);
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| 124 |
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[3] | 125 | ////////////////////////////////////////////////////////////////////////
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| 126 |
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[15] | 127 | // ALGO0001
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| 128 | double LatitueIsometrique(double latitude, double e);
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| 129 | // ALGO0002
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| 130 | double LatitueIsometrique2Lat(double latitude_iso, double e, double epsilon);
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[3] | 131 |
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[15] | 132 | // ALGO0003
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| 133 | void Geo2ProjLambert(double lambda, double phi, double n, double c, double e,
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| 134 | double lambdac, double xs, double ys, double &X,
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| 135 | double &Y);
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| 136 | // ALGO0004
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| 137 | void Proj2GeoLambert(double X, double Y, double n, double c, double e,
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| 138 | double lambdac, double xs, double ys, double epsilon,
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| 139 | double &lambda, double &phi);
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[3] | 140 |
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| 141 | double ConvMerApp(double longitude);
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| 142 |
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| 143 | /**
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| 144 | Converts Cartesian (x, y) coordinates to polar coordinates (r, theta)
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| 145 | */
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| 146 | template <typename _T1, typename _T2>
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[15] | 147 | void cartesianToPolar(const _T1 x, const _T1 y, _T2 &r, _T2 &theta) {
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| 148 | r = std::sqrt(x * x + y * y);
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| 149 | theta = std::atan2(x, y);
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[3] | 150 | }
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| 151 |
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| 152 | /**
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| 153 | Converts polar coordinates (r, theta) to Cartesian (x, y) coordinates
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| 154 | */
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| 155 | template <typename _T1, typename _T2>
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[15] | 156 | void polarToCartesian(const _T1 r, const _T1 theta, _T2 &x, _T2 &y) {
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| 157 | x = r * std::cos(theta);
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| 158 | y = r * std::sin(theta);
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[3] | 159 | }
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| 160 |
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| 161 | /**
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[15] | 162 | Converts Cartesian (x, y, z) coordinates to spherical coordinates (r, theta,
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| 163 | phi)
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[3] | 164 | Angles expressed in radians.
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| 165 | */
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| 166 | template <typename _T1, typename _T2>
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[15] | 167 | void cartesianToSpherical(const _T1 x, const _T1 y, const _T1 z, _T2 &r,
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| 168 | _T2 &theta, _T2 &phi) {
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| 169 | r = std::sqrt(x * x + y * y + z * z);
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| 170 | theta = std::acos(z / r);
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| 171 | phi = std::atan2(y, x);
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[3] | 172 | }
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| 173 |
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| 174 | /**
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[15] | 175 | Converts spherical coordinates (r, theta, phi) to Cartesian (x, y, z)
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| 176 | coordinates.
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[3] | 177 | Angles expressed in radians.
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| 178 | */
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| 179 | template <typename _T1, typename _T2>
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[15] | 180 | void sphericalToCartesian(const _T1 r, const _T1 theta, const _T1 phi, _T2 &x,
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| 181 | _T2 &y, _T2 &z) {
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| 182 | x = r * std::sin(theta) * std::cos(phi);
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| 183 | y = r * std::sin(theta) * std::sin(phi);
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| 184 | z = r * std::cos(theta);
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[3] | 185 | }
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| 186 |
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| 187 | } // namespace Geodesie
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| 188 |
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| 189 | #endif // GEODESIE_H
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