1 | // %pacpus:license{
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2 | // This file is part of the PACPUS framework distributed under the
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3 | // CECILL-C License, Version 1.0.
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4 | /// @author Jean Laneurit <firstname.surname@utc.fr>
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5 | /// @date April, 2010
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6 | // %pacpus:license}
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7 |
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8 | #include <Pacpus/PacpusTools/geodesie.h>
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9 |
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10 | #include <fstream>
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11 |
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12 | //using boost::math::constants::pi;
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13 |
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14 | #ifdef _MSC_VER
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15 | # pragma warning(disable:4244)
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16 | #endif //_MSC_VER
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17 |
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18 | namespace Geodesie {
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19 | /// ////////////////////////////////////////////////////////////////////
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20 | Matrice::Matrice(const Matrice & A) {
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21 | c0_l0=A.c0_l0;c1_l0=A.c1_l0;c2_l0=A.c2_l0;
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22 | c0_l1=A.c0_l1;c1_l1=A.c1_l1;c2_l1=A.c2_l1;
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23 | c0_l2=A.c0_l2;c1_l2=A.c1_l2;c2_l2=A.c2_l2;
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24 | }
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25 | /// ////////////////////////////////////////////////////////////////////
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26 | Matrice::Matrice() {
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27 | c0_l0=0.0;c1_l0=0.0;c2_l0=0.0;
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28 | c0_l1=0.0;c1_l1=0.0;c2_l1=0.0;
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29 | c0_l2=0.0;c1_l2=0.0;c2_l2=0.0;
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30 | }
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31 | /// ////////////////////////////////////////////////////////////////////
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32 | void Matrice::Apply(double v0,double v1,double v2, double& Mv0,double& Mv1,double& Mv2) {
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33 | Mv0 = c0_l0*v0 + c1_l0*v1 + c2_l0*v2;
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34 | Mv1 = c0_l1*v0 + c1_l1*v1 + c2_l1*v2;
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35 | Mv2 = c0_l2*v0 + c1_l2*v1 + c2_l2*v2;
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36 | }
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37 | /// ////////////////////////////////////////////////////////////////////
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38 | Matrice ProdMat(const Matrice A, const Matrice B) {
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39 | Matrice out;
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40 |
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41 | out.c0_l0=A.c0_l0 * B.c0_l0 + A.c1_l0 * B.c0_l1 + A.c2_l0 * B.c0_l2;
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42 | out.c1_l0=A.c0_l0 * B.c1_l0 + A.c1_l0 * B.c1_l1 + A.c2_l0 * B.c1_l2;
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43 | out.c2_l0=A.c0_l0 * B.c2_l0 + A.c1_l0 * B.c2_l1 + A.c2_l0 * B.c2_l2;
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44 |
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45 | out.c0_l1=A.c0_l1 * B.c0_l0 + A.c1_l1 * B.c0_l1 + A.c2_l1 * B.c0_l2;
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46 | out.c1_l1=A.c0_l1 * B.c1_l0 + A.c1_l1 * B.c1_l1 + A.c2_l1 * B.c1_l2;
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47 | out.c2_l1=A.c0_l1 * B.c2_l0 + A.c1_l1 * B.c2_l1 + A.c2_l1 * B.c2_l2;
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48 |
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49 | out.c0_l2=A.c0_l2 * B.c0_l0 + A.c1_l2 * B.c0_l1 + A.c2_l2 * B.c0_l2;
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50 | out.c1_l2=A.c0_l2 * B.c1_l0 + A.c1_l2 * B.c1_l1 + A.c2_l2 * B.c1_l2;
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51 | out.c2_l2=A.c0_l2 * B.c2_l0 + A.c1_l2 * B.c2_l1 + A.c2_l2 * B.c2_l2;
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52 | return out;
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53 | }
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54 |
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55 | /// ////////////////////////////////////////////////////////////////////
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56 | Matrice TransMat(const Matrice A) {
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57 | Matrice out;
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58 | out.c0_l0=A.c0_l0 ; out.c1_l0 = A.c0_l1 ; out.c2_l0 = A.c0_l2 ;
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59 | out.c0_l1=A.c1_l0 ; out.c1_l1 = A.c1_l1 ; out.c2_l1 = A.c1_l2 ;
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60 | out.c0_l2=A.c2_l0 ; out.c1_l2 = A.c2_l1 ; out.c2_l2 = A.c2_l2 ;
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61 | return out;
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62 | }
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63 |
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64 | /// ////////////////////////////////////////////////////////////////////
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65 | void Write(const Matrice A,std::ostream& out) {
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66 | out<< A.c0_l0<<"\t"<< A.c1_l0<<"\t"<< A.c2_l0<<"\n";
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67 | out<< A.c0_l1<<"\t"<< A.c1_l1<<"\t"<< A.c2_l1<<"\n";
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68 | out<< A.c0_l2<<"\t"<< A.c1_l2<<"\t"<< A.c2_l2<<"\n";
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69 | }
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70 |
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71 | /// ////////////////////////////////////////////////////////////////////
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72 | Raf98::~Raf98() {
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73 | m_dvalues.clear();
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74 | }
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75 |
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76 | //-----------------------------------------------------------------------------
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77 | bool Raf98::Interpol(double longitude, double latitude, double* Hwgs84) const {
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78 | *Hwgs84 = 0.0;
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79 | if (m_dvalues.size()==0)
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80 | return false;
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81 | const double longitude_min = -5.5;
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82 | const double longitude_max = 8.5;
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83 | if (longitude < longitude_min)
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84 | return false;
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85 | if (longitude > longitude_max)
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86 | return false;
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87 |
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88 | const double latitude_min = 42;
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89 | const double latitude_max = 51.5;
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90 | if (latitude < latitude_min)
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91 | return false;
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92 | if (latitude > latitude_max)
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93 | return false;
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94 |
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95 | //conversion en position
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96 | double longPix = (longitude - longitude_min) * 30.;
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97 | double latPix = (latitude_max - latitude) * 40.;
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98 |
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99 | double RestCol,RestLig;
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100 | double ColIni,LigIni;
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101 | RestCol = modf(longPix,&ColIni);
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102 | RestLig = modf(latPix,&LigIni);
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103 |
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104 |
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105 | double Zbd = (1.0-RestCol) * (1.0-RestLig) * LitGrille(ColIni , LigIni );
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106 | Zbd += RestCol * (1.0-RestLig) * LitGrille(ColIni+1, LigIni );
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107 | Zbd += (1.0-RestCol) * RestLig * LitGrille(ColIni , LigIni+1);
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108 | Zbd += RestCol * RestLig * LitGrille(ColIni+1, LigIni+1);
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109 | *Hwgs84 = Zbd;
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110 |
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111 |
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112 | return true;
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113 | }
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114 | /// ////////////////////////////////////////////////////////////////////
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115 | double Raf98::LitGrille(unsigned int c,unsigned int l) const{
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116 | const unsigned int w=421;
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117 | // const unsigned int h=381;
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118 | return m_dvalues.at(c+l*w);
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119 | }
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120 | /// ////////////////////////////////////////////////////////////////////
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121 | bool Raf98::Load(const std::string & sin) {
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122 | std::ifstream in(sin.c_str());
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123 | unsigned int w = 421;
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124 | unsigned int h = 381;
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125 |
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126 | m_dvalues.reserve(w*h);
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127 |
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128 | char entete[1024];//sur 3 lignes
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129 | in.getline(entete,1023);
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130 | in.getline(entete,1023);
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131 | in.getline(entete,1023);
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132 |
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133 | char bidon[1024];
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134 | double val;
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135 | for (unsigned int i=0; i< h; ++i) {
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136 | for (unsigned int j=0; j< 52; ++j) {
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137 | for (unsigned int k=0; k< 8; ++k) {
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138 | in >> val;
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139 | m_dvalues.push_back( val );
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140 | }
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141 | in.getline(bidon,1023);
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142 | }
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143 | for (unsigned int k=0; k< 5; ++k) {
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144 | in >> val;
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145 | m_dvalues.push_back( val );
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146 | }
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147 | in.getline(bidon,1023);
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148 | if (!in.good()) {
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149 | m_dvalues.clear();
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150 | return false;
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151 | }
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152 | }
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153 | return in.good();
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154 | }
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155 |
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156 | } // namespace Geodesie
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157 |
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158 | /// ////////////////////////////////////////////////////////////////////
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159 | /// ////////////////////////////////////////////////////////////////////
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160 |
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161 | /// ////////////////////////////////////////////////////////////////////
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162 | //ALGO0001
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163 | double Geodesie::LatitueIsometrique(double latitude,double e) {
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164 | double li;
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165 | li = log(tan(M_PI_4 + latitude/2.)) + e*log( (1-e*sin(latitude))/(1+e*sin(latitude)) )/2;
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166 | return li;
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167 | }
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168 |
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169 | /// ////////////////////////////////////////////////////////////////////
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170 | //ALGO0002
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171 | double Geodesie::LatitueIsometrique2Lat(double latitude_iso,double e,double epsilon) {
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172 | double latitude_i=2*atan(exp(latitude_iso)) - M_PI_2;
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173 | double latitude_ip1=latitude_i+epsilon*2;
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174 | while (fabs(latitude_i-latitude_ip1)>epsilon) {
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175 | latitude_i=latitude_ip1;
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176 | latitude_ip1=2*atan(
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177 | exp(e*0.5*
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178 | log(
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179 | (1+e*sin(latitude_i))/(1-e*sin(latitude_i))
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180 | )
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181 | )
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182 | *exp(latitude_iso)
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183 | ) - M_PI_2;
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184 | }
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185 | return latitude_ip1;
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186 | }
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187 | /// ////////////////////////////////////////////////////////////////////
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188 | void Geodesie::Geo2ProjLambert(
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189 | double lambda,double phi,
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190 | double n, double c,double e,
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191 | double lambdac,double xs,double ys,
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192 | double& X,double& Y)
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193 | {
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194 | double lat_iso=LatitueIsometrique(phi,e);
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195 | X=xs+c*exp(-n*lat_iso)*sin(n*(lambda-lambdac));
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196 | Y=ys-c*exp(-n*lat_iso)*cos(n*(lambda-lambdac));
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197 | }
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198 | /// ////////////////////////////////////////////////////////////////////
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199 | //ALGO0004
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200 | void Geodesie::Proj2GeoLambert(
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201 | double X,double Y,
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202 | double n, double c,double e,
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203 | double lambdac,double xs,double ys,
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204 | double epsilon,
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205 | double& lambda,double& phi)
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206 | {
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207 | double X_xs=X-xs;
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208 | double ys_Y=ys-Y;
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209 | double R=sqrt(X_xs*X_xs+ys_Y*ys_Y);
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210 | double gamma=atan(X_xs/ys_Y);
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211 | lambda=lambdac+gamma/n;
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212 | double lat_iso=-1/n*log(fabs(R/c));
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213 | phi=LatitueIsometrique2Lat(lat_iso,e,epsilon);
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214 | }
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215 | /// ////////////////////////////////////////////////////////////////////
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216 | double Geodesie::ConvMerApp(double longitude) {
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217 | double phi0_Lambert93 = Deg2Rad(46.5);
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218 | double lambda0_Lambert93 = Deg2Rad(3.0);
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219 | double conv=-sin(phi0_Lambert93)*(longitude-lambda0_Lambert93);
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220 | return conv;
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221 | }
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222 |
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223 | ////////////////////////////////////////////////////////////////////
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224 | void Geodesie::Geographique_2_Lambert93(const Raf98& raf98,double lambda,double phi,double he,Matrice in,double& E,double& N,double& h,Matrice& out) {
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225 | Matrice passage;
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226 | double conv=Geodesie::ConvMerApp(lambda);
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227 | double c_=cos(conv);
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228 | double s_=sin(conv);
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229 |
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230 | passage.c0_l0 = c_;
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231 | passage.c0_l1 = s_;
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232 | passage.c0_l2 = 0.0;
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233 |
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234 | passage.c1_l0 = -s_;
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235 | passage.c1_l1 = c_;
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236 | passage.c1_l2 = 0.0;
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237 |
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238 | passage.c2_l0 = 0.0;
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239 | passage.c2_l1 = 0.0;
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240 | passage.c2_l2 = 1.0;
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241 |
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242 | out=ProdMat(passage,in);
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243 | double diff_h;
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244 | raf98.Interpol(Rad2Deg(lambda),Rad2Deg(phi),&diff_h);
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245 | h=he-diff_h;
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246 |
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247 | Geodesie::Geo2ProjLambert(
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248 | lambda,phi,
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249 | n_Lambert93,c_Lambert93,e_Lambert93,
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250 | lambda0_Lambert93,xs_Lambert93,ys_Lambert93,
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251 | E,N);
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252 | }
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253 | ////////////////////////////////////////////////////////////////////////
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254 | void Geodesie::Geographique_2_Lambert93(const Raf98& raf98,double lambda,double phi,double he,double& E,double& N,double& h) {
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255 | Geodesie::Geo2ProjLambert(
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256 | lambda,phi,
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257 | n_Lambert93,c_Lambert93,e_Lambert93,
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258 | lambda0_Lambert93,xs_Lambert93,ys_Lambert93,
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259 | E,N);
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260 |
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261 | double diff_h;
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262 | raf98.Interpol(Rad2Deg(lambda),Rad2Deg(phi),&diff_h);
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263 | h=he-diff_h;
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264 | }
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265 | /**
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266 | Converts Lambert93 coordinates (East, North, Height) into geographical coordinates in radians (Longitude = Rad2Deg(lambda), Latitude = Rad2Deg(phi), Height)
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267 | */
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268 | void Geodesie::Lambert93_2_Geographique(const Raf98& raf98,double E,double N,double h,double& lambda,double& phi,double& he) {
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269 | Geodesie::Proj2GeoLambert(
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270 | E,N,
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271 | n_Lambert93,c_Lambert93,e_Lambert93,
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272 | lambda0_Lambert93,xs_Lambert93,ys_Lambert93,
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273 | 0.0000000000000001,
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274 | lambda,phi);
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275 |
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276 | double diff_h;
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277 | raf98.Interpol(Rad2Deg(lambda),Rad2Deg(phi),&diff_h);
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278 | he=h+diff_h;
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279 | }
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280 | ////////////////////////////////////////////////////////////////////////
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281 | void Geodesie::Lambert93_2_Geographique(const Raf98& raf98,double E,double N,double h,Matrice in,double& lambda,double& phi,double& he,Matrice& out) {
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282 | Geodesie::Proj2GeoLambert(
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283 | E,N,
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284 | n_Lambert93,c_Lambert93,e_Lambert93,
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285 | lambda0_Lambert93,xs_Lambert93,ys_Lambert93,
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286 | 0.0000000000000001,
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287 | lambda,phi);
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288 |
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289 | Matrice passage;
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290 | double conv=Geodesie::ConvMerApp(lambda);
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291 | double c_=cos(conv);
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292 | double s_=sin(conv);
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293 |
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294 | passage.c0_l0 = c_;
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295 | passage.c0_l1 = -s_;
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296 | passage.c0_l2 = 0.0;
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297 |
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298 | passage.c1_l0 = s_;
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299 | passage.c1_l1 = c_;
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300 | passage.c1_l2 = 0.0;
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301 |
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302 | passage.c2_l0 = 0.0;
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303 | passage.c2_l1 = 0.0;
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304 | passage.c2_l2 = 1.0;
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305 |
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306 | out=ProdMat(passage,in);
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307 |
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308 | double diff_h;
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309 | raf98.Interpol(Rad2Deg(lambda),Rad2Deg(phi),&diff_h);
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310 | he=h+diff_h;
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311 | }
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312 |
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313 | ////////////////////////////////////////////////////////////////////////
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314 | void Geodesie::Geographique_2_ECEF(double longitude,double latitude,double he,double& x,double& y,double& z) {
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315 | const double n = GRS_a / sqrt(1.0 - pow(GRS_e,2) * pow(sin(latitude),2));
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316 | x = (n + he) * cos(latitude) * cos(longitude);
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317 | y = (n + he) * cos(latitude) * sin(longitude);
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318 | z = (n * (1.0 - pow(GRS_e,2)) + he) * sin(latitude);
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319 | }
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320 |
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321 | ////////////////////////////////////////////////////////////////////////
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322 | void Geodesie::ECEF_2_ENU(double x,double y,double z,double& e,double& n,double& u,double lon0,double lat0,double he0) {
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323 | double slat = std::sin(lat0);
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324 | double clat = std::cos(lat0);
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325 | double slon = std::sin(lon0);
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326 | double clon = std::cos(lon0);
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327 |
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328 | Geodesie::Matrice C;
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329 | C.c0_l0 = -slon;
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330 | C.c1_l0 = clon;
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331 |
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332 | C.c0_l1 = -clon * slat;
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333 | C.c1_l1 = -slon * slat;
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334 | C.c2_l1 = clat;
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335 |
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336 | C.c0_l2 = clon * clat;
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337 | C.c1_l2 = slon * clat;
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338 | C.c2_l2 = slat;
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339 |
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340 | double x0, y0, z0;
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341 | Geographique_2_ECEF(lon0,lat0,he0, x0,y0,z0);
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342 |
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343 | x -= x0;
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344 | y -= y0;
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345 | z -= z0;
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346 |
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347 | C.Apply(x,y,z, e,n,u);
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348 | }
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349 |
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350 | QMatrix4x4 Geodesie::yprenuToMatrix(QVector3D angle, QVector3D position) {
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351 |
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352 | float c1 = cos(angle.x());
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353 | float c2 = cos(angle.y());
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354 | float c3 = cos(angle.z());
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355 |
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356 | float s1 = sin(angle.x());
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357 | float s2 = sin(angle.y());
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358 | float s3 = sin(angle.z());
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359 |
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360 |
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361 | // Source : https://en.wikipedia.org/wiki/Euler_angles
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362 | return QMatrix4x4 ( c1*c2, c1*s2*s3-c3*s1, s1*s3+c1*c3*s2, position.x(),
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363 | c2*s1, c1*c3+s1*s2*s3, c3*s1*s2-c1*s3, position.y(),
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364 | -s2, c2*s3, c2*c3, position.z(),
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365 | 0, 0, 0, 1);
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366 | }
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