1 | #include "machdefs.h"
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2 | #include <math.h>
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3 | #include <complex>
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4 |
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5 | #include "pexceptions.h"
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6 | #include "fiondblock.h"
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7 | #include "spherehealpix.h"
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8 | #include "strutil.h"
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9 |
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10 | extern "C"
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11 | {
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12 | #include <stdio.h>
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13 | #include <stdlib.h>
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14 | #include <unistd.h>
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15 | }
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16 |
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17 | using namespace SOPHYA;
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18 |
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19 | /*!
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20 | \class SOPHYA::SphereHEALPix
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21 |
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22 | *******************************************************************
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23 | Pixelisation Gorski
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24 |
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25 | \verbatim
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26 |
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27 | -----------------------------------------------------------------------
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28 | version 0.8.2 Aug97 TAC Eric Hivon, Kris Gorski
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29 | -----------------------------------------------------------------------
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30 |
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31 | the sphere is split in 12 diamond-faces containing nside**2 pixels each
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32 | the numbering of the pixels (in the nested scheme) is similar to
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33 | quad-cube
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34 | In each face the first pixel is in the lowest corner of the diamond
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35 | the faces are (x,y) coordinate on each face
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36 |
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37 | . . . . <--- North Pole
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38 | / \ / \ / \ / \ ^ ^
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39 | . 0 . 1 . 2 . 3 . <--- z = 2/3 \ /
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40 | \ / \ / \ / \ / y \ / x
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41 | 4 . 5 . 6 . 7 . 4 <--- equator \ /
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42 | / \ / \ / \ / \ \/
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43 | . 8 . 9 .10 .11 . <--- z = -2/3 (0,0) : lowest corner
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44 | \ / \ / \ / \ /
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45 | . . . . <--- South Pole
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46 | \endverbatim
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47 | phi:0 2Pi
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48 |
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49 | in the ring scheme pixels are numbered along the parallels
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50 | the first parallel is the one closest to the north pole and so on
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51 | on each parallel, pixels are numbered starting from the one closest
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52 | to phi = 0
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53 |
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54 | nside MUST be a power of 2 (<= 8192)
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55 |
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56 | */
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57 |
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58 | /* --Methode-- */
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59 |
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60 | template<class T>
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61 | SphereHEALPix<T>::SphereHEALPix() : pixels_(), sliceBeginIndex_(),
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62 | sliceLenght_()
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63 |
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64 |
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65 | {
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66 | InitNul();
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67 | }
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68 |
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69 | /*! \fn SOPHYA::SphereHEALPix::SphereHEALPix(int_4 m)
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70 |
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71 | \param <m> : "nside" of the Healpix algorithm
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72 |
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73 | The total number of pixels will be Npix = 12*nside**2
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74 |
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75 | nside MUST be a power of 2 (<= 8192)
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76 | */
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77 |
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78 | template<class T>
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79 | SphereHEALPix<T>::SphereHEALPix(int_4 m)
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80 |
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81 | {
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82 |
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83 | if(m <= 0 || m > 8192)
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84 | {
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85 | cout << "SphereHEALPix : m hors bornes [0,8192], m= " << m << endl;
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86 | throw RangeCheckError("SphereHEALPix<T>::SphereHEALPix() - Out of bound nside (< 8192)!");
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87 | }
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88 | // verifier que m est une puissance de deux
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89 | int x= m;
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90 | while(x%2 == 0) x/=2;
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91 | if(x != 1)
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92 | {
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93 | cout<<"SphereHEALPix: m doit etre une puissance de deux, m= "<<m<<endl;
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94 | throw ParmError("SphereHEALPix<T>::SphereHEALPix() - nside != 2^n !");
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95 | }
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96 | InitNul();
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97 | // SetTemp(false);
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98 | Pixelize(m);
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99 | SetThetaSlices();
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100 | }
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101 | //++
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102 | template<class T>
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103 | SphereHEALPix<T>::SphereHEALPix(const SphereHEALPix<T>& s, bool share)
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104 | : pixels_(s.pixels_, share), sliceBeginIndex_(s.sliceBeginIndex_, share),
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105 | sliceLenght_(s.sliceLenght_, share)
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106 | // copy constructor
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107 | //--
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108 | {
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109 | nSide_= s.nSide_;
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110 | nPix_ = s.nPix_;
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111 | omeg_ = s.omeg_;
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112 | if(s.mInfo_) mInfo_= new DVList(*s.mInfo_);
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113 | }
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114 | //++
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115 | template<class T>
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116 | SphereHEALPix<T>::SphereHEALPix(const SphereHEALPix<T>& s)
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117 | : pixels_(s.pixels_), sliceBeginIndex_(s.sliceBeginIndex_),
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118 | sliceLenght_(s.sliceLenght_)
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119 | // copy constructor
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120 | //--
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121 | {
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122 | nSide_= s.nSide_;
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123 | nPix_ = s.nPix_;
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124 | omeg_ = s.omeg_;
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125 | if(s.mInfo_) mInfo_= new DVList(*s.mInfo_);
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126 | // CloneOrShare(s);
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127 | }
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128 |
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129 | template<class T>
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130 | void SphereHEALPix<T>::CloneOrShare(const SphereHEALPix<T>& a)
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131 | {
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132 | nSide_= a.nSide_;
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133 | nPix_ = a.nPix_;
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134 | omeg_ = a.omeg_;
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135 | pixels_.CloneOrShare(a.pixels_);
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136 | sliceBeginIndex_.CloneOrShare(a.sliceBeginIndex_);
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137 | sliceLenght_.CloneOrShare(a.sliceLenght_);
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138 |
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139 | // pas forcement a conserver, pas forcement a cet endroit (GLM)
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140 | // if (a.IsTemp() ) SetTemp(true);
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141 | }
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142 |
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143 | ////////////////////////// methodes de copie/share
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144 | template<class T>
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145 | SphereHEALPix<T>& SphereHEALPix<T>::Set(const SphereHEALPix<T>& a)
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146 | {
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147 | if (this != &a)
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148 | {
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149 |
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150 | if (a.NbPixels() < 1)
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151 | throw RangeCheckError("SphereHEALPix<T>::Set(a ) - Array a not allocated ! ");
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152 | if (NbPixels() < 1) CloneOrShare(a);
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153 | else CopyElt(a);
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154 |
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155 |
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156 | if (mInfo_) delete mInfo_;
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157 | mInfo_ = NULL;
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158 | if (a.mInfo_) mInfo_ = new DVList(*(a.mInfo_));
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159 | }
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160 | return(*this);
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161 | }
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162 |
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163 | template<class T>
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164 | SphereHEALPix<T>& SphereHEALPix<T>::CopyElt(const SphereHEALPix<T>& a)
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165 | {
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166 | if (NbPixels() < 1)
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167 | throw RangeCheckError("SphereHEALPix<T>::CopyElt(const SphereHEALPix<T>& ) - Not Allocated Array ! ");
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168 | if (NbPixels() != a.NbPixels())
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169 | throw(SzMismatchError("SphereHEALPix<T>::CopyElt(const SphereHEALPix<T>&) SizeMismatch")) ;
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170 | nSide_= a.nSide_;
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171 | nPix_ = a.nPix_;
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172 | omeg_ = a.omeg_;
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173 | int k;
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174 | for (k=0; k< nPix_; k++) pixels_(k) = a.pixels_(k);
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175 | for (k=0; k< a.sliceBeginIndex_.Size(); k++) sliceBeginIndex_(k) = a.sliceBeginIndex_(k);
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176 | for (k=0; k< a.sliceLenght_.Size(); k++) sliceLenght_(k) = a.sliceLenght_(k);
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177 | return(*this);
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178 | }
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179 | //++
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180 | // Titre Destructor
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181 | //--
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182 | //++
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183 | template<class T>
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184 | SphereHEALPix<T>::~SphereHEALPix()
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185 |
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186 | //--
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187 | {
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188 | }
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189 |
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190 | //++
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191 | // Titre Public Methods
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192 | //--
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193 |
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194 | /*! \fn void SOPHYA::SphereHEALPix::Resize(int_4 m)
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195 | \param <m> "nside" of the Gorski algorithm
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196 |
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197 | The total number of pixels will be Npix = 12*nside**2
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198 |
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199 | nside MUST be a power of 2 (<= 8192)
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200 | */
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201 | template<class T>
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202 | void SphereHEALPix<T>::Resize(int_4 m)
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203 |
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204 |
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205 | {
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206 | if (m<=0 || m> 8192) {
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207 | cout << "SphereHEALPix : m hors bornes [0,8192], m= " << m << endl;
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208 | exit(1);
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209 | }
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210 | // verifier que m est une puissance de deux
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211 | int x= m;
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212 | while (x%2==0) x/=2;
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213 | if(x != 1)
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214 | {
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215 | cout<<"SphereHEALPix: m doit etre une puissance de deux, m= "<<m<<endl;
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216 | exit(1);
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217 | }
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218 | InitNul();
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219 | Pixelize(m);
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220 | SetThetaSlices();
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221 | }
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222 |
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223 | template<class T>
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224 | void SphereHEALPix<T>::Pixelize( int_4 m)
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225 |
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226 | // prépare la pixelisation Gorski (m a la même signification
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227 | // que pour le constructeur)
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228 | //
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229 | //
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230 | {
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231 | // On memorise les arguments d'appel
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232 | nSide_= m;
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233 |
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234 | // Nombre total de pixels sur la sphere entiere
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235 | nPix_= 12*nSide_*nSide_;
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236 |
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237 | // pour le moment les tableaux qui suivent seront ranges dans l'ordre
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238 | // de l'indexation GORSKY "RING"
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239 | // on pourra ulterieurement changer de strategie et tirer profit
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240 | // de la dualite d'indexation GORSKY (RING et NEST) : tout dependra
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241 | // de pourquoi c'est faire
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242 |
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243 | // Creation et initialisation du vecteur des contenus des pixels
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244 | pixels_.ReSize(nPix_);
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245 | pixels_.Reset();
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246 |
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247 | // solid angle per pixel
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248 | omeg_= 4.0*Pi/nPix_;
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249 | }
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250 |
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251 | template<class T>
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252 | void SphereHEALPix<T>::InitNul()
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253 | //
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254 | // initialise à zéro les variables de classe
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255 | {
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256 | nSide_= 0;
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257 | nPix_ = 0;
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258 | omeg_ = 0.;
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259 | // pixels_.Reset(); - Il ne faut pas mettre les pixels a zero si share !
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260 | }
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261 |
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262 | /* --Methode-- */
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263 | /* Nombre de pixels du decoupage */
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264 | /*! \fn int_4 SOPHYA::SphereHEALPix::NbPixels() const
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265 |
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266 | Return number of pixels of the splitting
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267 | */
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268 | template<class T>
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269 | int_4 SphereHEALPix<T>::NbPixels() const
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270 | {
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271 | return(nPix_);
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272 | }
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273 |
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274 |
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275 | /*! \fn uint_4 SOPHYA::SphereHEALPix::NbThetaSlices() const
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276 |
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277 | \return number of slices in theta direction on the sphere
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278 | */
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279 | template<class T>
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280 | uint_4 SphereHEALPix<T>::NbThetaSlices() const
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281 | {
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282 | uint_4 nbslices = uint_4(4*nSide_-1);
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283 | if (nSide_<=0)
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284 | {
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285 | nbslices = 0;
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286 | throw PException(" sphere not pixelized, NbSlice=0 ");
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287 | }
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288 | return nbslices;
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289 | }
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290 |
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291 | /*! \fn void SOPHYA::SphereHEALPix::GetThetaSlice(int_4 index,r_8& theta,TVector<r_8>& phi,TVector<T>& value) const
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292 |
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293 | For a theta-slice with index 'index', return :
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294 |
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295 | the corresponding "theta"
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296 |
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297 | a vector containing the phi's of the pixels of the slice
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298 |
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299 | a vector containing the corresponding values of pixels
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300 | */
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301 | template<class T>
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302 | void SphereHEALPix<T>::GetThetaSlice(int_4 index,r_8& theta,TVector<r_8>& phi,TVector<T>& value) const
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303 |
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304 | {
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305 |
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306 | if (index<0 || index >= NbThetaSlices())
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307 | {
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308 | cout << " SphereHEALPix::GetThetaSlice : Pixel index out of range" <<endl;
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309 | throw RangeCheckError(" SphereHEALPix::GetThetaSlice : Pixel index out of range");
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310 | }
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311 |
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312 |
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313 | int_4 iring= sliceBeginIndex_(index);
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314 | int_4 lring = sliceLenght_(index);
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315 |
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316 | phi.ReSize(lring);
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317 | value.ReSize(lring);
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318 |
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319 | double TH= 0.;
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320 | double FI= 0.;
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321 | for(int_4 kk = 0; kk < lring;kk++)
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322 | {
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323 | PixThetaPhi(kk+iring,TH,FI);
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324 | phi(kk)= FI;
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325 | value(kk)= PixVal(kk+iring);
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326 | }
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327 | theta= TH;
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328 | }
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329 | /*! \fn void SOPHYA::SphereHEALPix::GetThetaSlice(int_4 sliceIndex,r_8& theta, r_8& phi0, TVector<int_4>& pixelIndices,TVector<T>& value) const
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330 |
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331 | For a theta-slice with index 'index', return :
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332 |
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333 | the corresponding "theta"
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334 |
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335 | the corresponding "phi" for first pixel of the slice
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336 |
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337 | a vector containing indices of the pixels of the slice
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338 |
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339 | (equally distributed in phi)
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340 |
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341 | a vector containing the corresponding values of pixels
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342 | */
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343 |
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344 | template<class T>
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345 | void SphereHEALPix<T>::GetThetaSlice(int_4 sliceIndex,r_8& theta, r_8& phi0, TVector<int_4>& pixelIndices,TVector<T>& value) const
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346 |
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347 | {
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348 |
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349 | if (sliceIndex<0 || sliceIndex >= NbThetaSlices())
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350 | {
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351 | cout << " SphereHEALPix::GetThetaSlice : Pixel index out of range" <<endl;
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352 | throw RangeCheckError(" SphereHEALPix::GetThetaSlice : Pixel index out of range");
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353 | }
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354 | int_4 iring= sliceBeginIndex_(sliceIndex);
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355 | int_4 lring = sliceLenght_(sliceIndex);
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356 | pixelIndices.ReSize(lring);
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357 | value.ReSize(lring);
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358 |
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359 | for(int_4 kk = 0; kk < lring;kk++)
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360 | {
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361 | pixelIndices(kk)= kk+iring;
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362 | value(kk)= PixVal(kk+iring);
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363 | }
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364 | PixThetaPhi(iring, theta, phi0);
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365 | }
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366 |
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367 | template<class T>
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368 | void SphereHEALPix<T>::SetThetaSlices()
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369 | {
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370 | sliceBeginIndex_.ReSize(4*nSide_-1);
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371 | sliceLenght_.ReSize(4*nSide_-1);
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372 | int sliceIndex;
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373 | for (sliceIndex=0; sliceIndex< nSide_-1; sliceIndex++)
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374 | {
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375 | sliceBeginIndex_(sliceIndex) = 2*sliceIndex*(sliceIndex+1);
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376 | sliceLenght_(sliceIndex) = 4*(sliceIndex+1);
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377 | }
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378 | for (sliceIndex= nSide_-1; sliceIndex< 3*nSide_; sliceIndex++)
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379 | {
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380 | sliceBeginIndex_(sliceIndex) = 2*nSide_*(2*sliceIndex-nSide_+1);
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381 | sliceLenght_(sliceIndex) = 4*nSide_;
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382 | }
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383 | for (sliceIndex= 3*nSide_; sliceIndex< 4*nSide_-1; sliceIndex++)
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384 | {
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385 | int_4 nc= 4*nSide_-1-sliceIndex;
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386 | sliceBeginIndex_(sliceIndex) = nPix_-2*nc*(nc+1);
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387 | sliceLenght_(sliceIndex) = 4*nc;
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388 | }
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389 | }
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390 |
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391 |
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392 | /*! \fn T& SOPHYA::SphereHEALPix::PixVal(int_4 k)
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393 |
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394 | \return value of pixel with "RING" index k
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395 | */
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396 | template<class T>
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397 | T& SphereHEALPix<T>::PixVal(int_4 k)
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398 |
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399 | {
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400 | if((k < 0) || (k >= nPix_))
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401 | {
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402 | throw RangeCheckError("SphereHEALPix::PIxVal Pixel index out of range");
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403 | }
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404 | return pixels_(k);
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405 | }
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406 |
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407 | /*! \fn T const& SOPHYA::SphereHEALPix::PixVal(int_4 k) const
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408 |
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409 | \return value of pixel with "RING" index k
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410 | */
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411 | template<class T>
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412 | T const& SphereHEALPix<T>::PixVal(int_4 k) const
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413 |
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414 | {
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415 | if((k < 0) || (k >= nPix_))
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416 | {
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417 | throw RangeCheckError("SphereHEALPix::PIxVal Pixel index out of range");
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418 | }
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419 | return *(pixels_.Data()+k);
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420 | }
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421 |
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422 | /*! \fn T& SOPHYA::SphereHEALPix::PixValNest(int_4 k)
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423 |
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424 | \return value of pixel with "NESTED" index k
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425 | */
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426 | template<class T>
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427 | T& SphereHEALPix<T>::PixValNest(int_4 k)
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428 |
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429 | //--
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430 | {
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431 | if((k < 0) || (k >= nPix_))
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432 | {
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433 | throw RangeCheckError("SphereHEALPix::PIxValNest Pixel index out of range");
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434 | }
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435 | return pixels_(nest2ring(nSide_,k));
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436 | }
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437 |
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438 | /*! \fn T const& SOPHYA::SphereHEALPix::PixValNest(int_4 k) const
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439 |
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440 | \return value of pixel with "NESTED" index k
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441 | */
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442 |
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443 | template<class T>
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444 | T const& SphereHEALPix<T>::PixValNest(int_4 k) const
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445 |
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446 | {
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447 | if((k < 0) || (k >= nPix_))
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448 | {
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449 | throw RangeCheckError("SphereHEALPix::PIxValNest Pixel index out of range");
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450 | }
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451 | int_4 pix= nest2ring(nSide_,k);
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452 | return *(pixels_.Data()+pix);
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453 | }
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454 |
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455 | /*! \fn bool SOPHYA::SphereHEALPix::ContainsSph(double theta, double phi) const
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456 |
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457 | \return true if teta,phi in map
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458 | */
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459 | template<class T>
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460 | bool SphereHEALPix<T>::ContainsSph(double theta, double phi) const
|
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461 | {
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462 | return(true);
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463 | }
|
---|
464 |
|
---|
465 | /*! \fn int_4 SOPHYA::SphereHEALPix::PixIndexSph(double theta,double phi) const
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466 |
|
---|
467 | \return "RING" index of the pixel corresponding to direction (theta, phi).
|
---|
468 | */
|
---|
469 | template<class T>
|
---|
470 | int_4 SphereHEALPix<T>::PixIndexSph(double theta,double phi) const
|
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471 |
|
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472 | {
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---|
473 | return ang2pix_ring(nSide_,theta,phi);
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474 | }
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475 |
|
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476 | /*! \fn int_4 SOPHYA::SphereHEALPix::PixIndexSphNest(double theta,double phi) const
|
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477 |
|
---|
478 | \return "NESTED" index of the pixel corresponding to direction (theta, phi).
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---|
479 | */
|
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480 | template<class T>
|
---|
481 | int_4 SphereHEALPix<T>::PixIndexSphNest(double theta,double phi) const
|
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482 |
|
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483 | {
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---|
484 | return ang2pix_nest(nSide_,theta,phi);
|
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485 | }
|
---|
486 |
|
---|
487 |
|
---|
488 | /* --Methode-- */
|
---|
489 | /*! \fn void SOPHYA::SphereHEALPix::PixThetaPhi(int_4 k,double& theta,double& phi) const
|
---|
490 | \return (theta,phi) coordinates of middle of pixel with "RING" index k
|
---|
491 | */
|
---|
492 | template<class T>
|
---|
493 | void SphereHEALPix<T>::PixThetaPhi(int_4 k,double& theta,double& phi) const
|
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494 | {
|
---|
495 | pix2ang_ring(nSide_,k,theta,phi);
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496 | }
|
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497 |
|
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498 | /*! \fn T SOPHYA::SphereHEALPix::SetPixels(T v)
|
---|
499 |
|
---|
500 | Set all pixels to value v
|
---|
501 | */
|
---|
502 | template <class T>
|
---|
503 | T SphereHEALPix<T>::SetPixels(T v)
|
---|
504 | {
|
---|
505 | pixels_.Reset(v);
|
---|
506 | return(v);
|
---|
507 | }
|
---|
508 |
|
---|
509 |
|
---|
510 |
|
---|
511 | /*! \fn void SOPHYA::SphereHEALPix::PixThetaPhiNest(int_4 k,double& theta,double& phi) const
|
---|
512 |
|
---|
513 | \return (theta,phi) coordinates of middle of pixel with "NESTED" index k
|
---|
514 | */
|
---|
515 | template<class T>
|
---|
516 | void SphereHEALPix<T>::PixThetaPhiNest(int_4 k,double& theta,double& phi) const
|
---|
517 |
|
---|
518 | {
|
---|
519 | pix2ang_nest(nSide_,k,theta,phi);
|
---|
520 | }
|
---|
521 |
|
---|
522 |
|
---|
523 | /*! \fn int_4 SOPHYA::SphereHEALPix::NestToRing(int_4 k) const
|
---|
524 |
|
---|
525 | translation from NESTED index into RING index
|
---|
526 | */
|
---|
527 | template<class T>
|
---|
528 | int_4 SphereHEALPix<T>::NestToRing(int_4 k) const
|
---|
529 |
|
---|
530 | {
|
---|
531 | return nest2ring(nSide_,k);
|
---|
532 | }
|
---|
533 |
|
---|
534 |
|
---|
535 | /*! \fn int_4 SOPHYA::SphereHEALPix::RingToNest(int_4 k) const
|
---|
536 |
|
---|
537 | translation from RING index into NESTED index
|
---|
538 | */
|
---|
539 | template<class T>
|
---|
540 | int_4 SphereHEALPix<T>::RingToNest(int_4 k) const
|
---|
541 | {
|
---|
542 | return ring2nest(nSide_,k);
|
---|
543 | }
|
---|
544 |
|
---|
545 |
|
---|
546 | template <class T>
|
---|
547 | void SphereHEALPix<T>::print(ostream& os) const
|
---|
548 | {
|
---|
549 | if(mInfo_) os << " DVList Info= " << *mInfo_ << endl;
|
---|
550 | //
|
---|
551 | os << " nSide_ = " << nSide_ << endl;
|
---|
552 | os << " nPix_ = " << nPix_ << endl;
|
---|
553 | os << " omeg_ = " << omeg_ << endl;
|
---|
554 |
|
---|
555 | os << " content of pixels : ";
|
---|
556 | for(int i=0; i < nPix_; i++)
|
---|
557 | {
|
---|
558 | if(i%5 == 0) os << endl;
|
---|
559 | os << pixels_(i) <<", ";
|
---|
560 | }
|
---|
561 | os << endl;
|
---|
562 |
|
---|
563 |
|
---|
564 | }
|
---|
565 |
|
---|
566 |
|
---|
567 |
|
---|
568 | //*******************************************************************
|
---|
569 |
|
---|
570 | #ifdef __CXX_PRAGMA_TEMPLATES__
|
---|
571 | #pragma define_template SphereHEALPix<uint_2>
|
---|
572 | #pragma define_template SphereHEALPix<int_4>
|
---|
573 | #pragma define_template SphereHEALPix<r_8>
|
---|
574 | #pragma define_template SphereHEALPix<r_4>
|
---|
575 | #pragma define_template SphereHEALPix< complex<r_4> >
|
---|
576 | #pragma define_template SphereHEALPix< complex<r_8> >
|
---|
577 | #endif
|
---|
578 | #if defined(ANSI_TEMPLATES) || defined(GNU_TEMPLATES)
|
---|
579 | template class SphereHEALPix<uint_2>;
|
---|
580 | template class SphereHEALPix<int_4>;
|
---|
581 | template class SphereHEALPix<r_8>;
|
---|
582 | template class SphereHEALPix<r_4>;
|
---|
583 | template class SphereHEALPix< complex<r_4> >;
|
---|
584 | template class SphereHEALPix< complex<r_8> >;
|
---|
585 | #endif
|
---|
586 |
|
---|