1 | // |
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2 | // ******************************************************************** |
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3 | // * License and Disclaimer * |
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4 | // * * |
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5 | // * The Geant4 software is copyright of the Copyright Holders of * |
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6 | // * the Geant4 Collaboration. It is provided under the terms and * |
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7 | // * conditions of the Geant4 Software License, included in the file * |
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8 | // * LICENSE and available at http://cern.ch/geant4/license . These * |
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9 | // * include a list of copyright holders. * |
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10 | // * * |
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11 | // * Neither the authors of this software system, nor their employing * |
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12 | // * institutes,nor the agencies providing financial support for this * |
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13 | // * work make any representation or warranty, express or implied, * |
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14 | // * regarding this software system or assume any liability for its * |
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15 | // * use. Please see the license in the file LICENSE and URL above * |
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16 | // * for the full disclaimer and the limitation of liability. * |
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17 | // * * |
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18 | // * This code implementation is the result of the scientific and * |
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19 | // * technical work of the GEANT4 collaboration. * |
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20 | // * By using, copying, modifying or distributing the software (or * |
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21 | // * any work based on the software) you agree to acknowledge its * |
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22 | // * use in resulting scientific publications, and indicate your * |
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23 | // * acceptance of all terms of the Geant4 Software license. * |
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24 | // ******************************************************************** |
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25 | // |
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26 | // $Id: G4AdjointInterpolator.cc,v 1.4 2009/11/20 10:31:20 ldesorgh Exp $ |
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27 | // GEANT4 tag $Name: geant4-09-04-beta-01 $ |
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28 | // |
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29 | #include "G4AdjointCSMatrix.hh" |
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30 | #include "G4AdjointInterpolator.hh" |
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31 | |
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32 | G4AdjointInterpolator* G4AdjointInterpolator::theInstance = 0; |
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33 | /////////////////////////////////////////////////////// |
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34 | // |
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35 | G4AdjointInterpolator* G4AdjointInterpolator::GetAdjointInterpolator() |
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36 | { if(theInstance == 0) { |
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37 | static G4AdjointInterpolator interpolator; |
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38 | theInstance = &interpolator; |
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39 | } |
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40 | return theInstance; |
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41 | } |
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42 | /////////////////////////////////////////////////////// |
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43 | // |
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44 | G4AdjointInterpolator* G4AdjointInterpolator::GetInstance() |
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45 | { if(theInstance == 0) { |
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46 | static G4AdjointInterpolator interpolator; |
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47 | theInstance = &interpolator; |
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48 | } |
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49 | return theInstance; |
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50 | } |
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51 | |
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52 | /////////////////////////////////////////////////////// |
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53 | // |
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54 | G4AdjointInterpolator::G4AdjointInterpolator() |
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55 | {; |
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56 | } |
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57 | /////////////////////////////////////////////////////// |
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58 | // |
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59 | G4AdjointInterpolator::~G4AdjointInterpolator() |
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60 | {; |
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61 | } |
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62 | /////////////////////////////////////////////////////// |
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63 | // |
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64 | G4double G4AdjointInterpolator::LinearInterpolation(G4double& x,G4double& x1,G4double& x2,G4double& y1,G4double& y2) |
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65 | { G4double res = y1+ (x-x1)*(y2-y1)/(x2-x1); |
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66 | //G4cout<<"Linear "<<res<<G4endl; |
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67 | return res; |
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68 | } |
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69 | /////////////////////////////////////////////////////// |
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70 | // |
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71 | G4double G4AdjointInterpolator::LogarithmicInterpolation(G4double& x,G4double& x1,G4double& x2,G4double& y1,G4double& y2) |
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72 | { if (y1<=0 || y2<=0 || x1<=0) return LinearInterpolation(x,x1,x2,y1,y2); |
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73 | G4double B=std::log(y2/y1)/std::log(x2/x1); |
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74 | //G4cout<<"x1,x2,y1,y2 "<<x1<<'\t'<<x2<<'\t'<<y1<<'\t'<<y2<<'\t'<<G4endl; |
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75 | G4double A=y1/std::pow(x1,B); |
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76 | G4double res=A*std::pow(x,B); |
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77 | // G4cout<<"Log "<<res<<G4endl; |
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78 | return res; |
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79 | } |
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80 | /////////////////////////////////////////////////////// |
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81 | // |
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82 | G4double G4AdjointInterpolator::ExponentialInterpolation(G4double& x,G4double& x1,G4double& x2,G4double& y1,G4double& y2) |
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83 | { G4double B=(std::log(y2)-std::log(y1)); |
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84 | B=B/(x2-x1); |
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85 | G4double A=y1*std::exp(-B*x1); |
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86 | G4double res=A*std::exp(B*x); |
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87 | return res; |
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88 | } |
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89 | /////////////////////////////////////////////////////// |
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90 | // |
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91 | G4double G4AdjointInterpolator::Interpolation(G4double& x,G4double& x1,G4double& x2,G4double& y1,G4double& y2,G4String InterPolMethod) |
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92 | { |
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93 | if (InterPolMethod == "Log" ){ |
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94 | return LogarithmicInterpolation(x,x1,x2,y1,y2); |
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95 | } |
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96 | else if (InterPolMethod == "Lin" ){ |
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97 | return LinearInterpolation(x,x1,x2,y1,y2); |
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98 | } |
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99 | else if (InterPolMethod == "Exp" ){ |
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100 | return ExponentialInterpolation(x,x1,x2,y1,y2); |
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101 | } |
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102 | else { |
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103 | //G4cout<<"The interpolation method that you invoked does not exist!"<<G4endl; |
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104 | return -1111111111.; |
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105 | } |
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106 | } |
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107 | /////////////////////////////////////////////////////// |
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108 | // |
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109 | size_t G4AdjointInterpolator::FindPosition(G4double& x,std::vector<G4double>& x_vec,size_t , size_t ) //only valid if x_vec is monotically increasing |
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110 | { //most rapid nethod could be used probably |
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111 | //It is important to put std::vector<G4double>& such that the vector itself is used and not a copy |
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112 | |
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113 | |
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114 | size_t ndim = x_vec.size(); |
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115 | size_t ind1 = 0; |
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116 | size_t ind2 = ndim - 1; |
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117 | /* if (ind_max >= ind_min){ |
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118 | ind1=ind_min; |
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119 | ind2=ind_max; |
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120 | |
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121 | |
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122 | } |
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123 | */ |
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124 | |
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125 | |
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126 | if (ndim >1) { |
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127 | |
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128 | if (x_vec[0] < x_vec[1] ) { //increasing |
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129 | do { |
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130 | size_t midBin = (ind1 + ind2)/2; |
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131 | if (x < x_vec[midBin]) |
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132 | ind2 = midBin; |
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133 | else |
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134 | ind1 = midBin; |
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135 | } while (ind2 - ind1 > 1); |
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136 | } |
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137 | else { |
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138 | do { |
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139 | size_t midBin = (ind1 + ind2)/2; |
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140 | if (x < x_vec[midBin]) |
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141 | ind1 = midBin; |
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142 | else |
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143 | ind2 = midBin; |
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144 | } while (ind2 - ind1 > 1); |
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145 | } |
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146 | |
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147 | } |
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148 | |
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149 | return ind1; |
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150 | } |
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151 | |
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152 | /////////////////////////////////////////////////////// |
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153 | // |
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154 | size_t G4AdjointInterpolator::FindPositionForLogVector(G4double& log_x,std::vector<G4double>& log_x_vec) //only valid if x_vec is monotically increasing |
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155 | { //most rapid nethod could be used probably |
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156 | //It is important to put std::vector<G4double>& such that the vector itself is used and not a copy |
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157 | return FindPosition(log_x, log_x_vec); |
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158 | if (log_x_vec.size()>3){ |
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159 | size_t ind=0; |
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160 | G4double log_x1=log_x_vec[1]; |
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161 | G4double d_log =log_x_vec[2]-log_x1; |
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162 | G4double dind=(log_x-log_x1)/d_log +1.; |
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163 | if (dind <1.) ind=0; |
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164 | else if (dind >= double(log_x_vec.size())-2.) ind =log_x_vec.size()-2; |
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165 | else ind =size_t(dind); |
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166 | return ind; |
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167 | |
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168 | } |
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169 | else return FindPosition(log_x, log_x_vec); |
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170 | |
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171 | |
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172 | } |
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173 | /////////////////////////////////////////////////////// |
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174 | // |
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175 | G4double G4AdjointInterpolator::Interpolate(G4double& x,std::vector<G4double>& x_vec,std::vector<G4double>& y_vec,G4String InterPolMethod) |
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176 | { size_t i=FindPosition(x,x_vec); |
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177 | //G4cout<<i<<G4endl; |
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178 | //G4cout<<x<<G4endl; |
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179 | //G4cout<<x_vec[i]<<G4endl; |
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180 | return Interpolation( x,x_vec[i],x_vec[i+1],y_vec[i],y_vec[i+1],InterPolMethod); |
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181 | } |
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182 | |
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183 | /////////////////////////////////////////////////////// |
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184 | // |
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185 | G4double G4AdjointInterpolator::InterpolateWithIndexVector(G4double& x,std::vector<G4double>& x_vec,std::vector<G4double>& y_vec, |
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186 | std::vector<size_t>& index_vec,G4double x0, G4double dx) //only linear interpolation possible |
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187 | { size_t ind=0; |
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188 | if (x>x0) ind=int((x-x0)/dx); |
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189 | if (ind >= index_vec.size()-1) ind= index_vec.size()-2; |
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190 | size_t ind1 = index_vec[ind]; |
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191 | size_t ind2 = index_vec[ind+1]; |
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192 | if (ind1 >ind2) { |
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193 | size_t ind11=ind1; |
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194 | ind1=ind2; |
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195 | ind2=ind11; |
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196 | |
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197 | } |
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198 | |
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199 | ind=FindPosition(x,x_vec,ind1,ind2); |
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200 | return Interpolation( x,x_vec[ind],x_vec[ind+1],y_vec[ind],y_vec[ind+1],"Lin"); |
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201 | |
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202 | } |
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203 | |
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204 | |
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205 | /////////////////////////////////////////////////////// |
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206 | // |
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207 | G4double G4AdjointInterpolator::InterpolateForLogVector(G4double& log_x,std::vector<G4double>& log_x_vec,std::vector<G4double>& log_y_vec) |
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208 | { //size_t i=0; |
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209 | size_t i=FindPositionForLogVector(log_x,log_x_vec); |
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210 | /*G4cout<<"In interpolate "<<G4endl; |
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211 | G4cout<<i<<G4endl; |
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212 | G4cout<<log_x<<G4endl; |
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213 | G4cout<<log_x_vec[i]<<G4endl; |
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214 | G4cout<<log_x_vec[i+1]<<G4endl; |
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215 | G4cout<<log_y_vec[i]<<G4endl; |
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216 | G4cout<<log_y_vec[i+1]<<G4endl;*/ |
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217 | |
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218 | G4double log_y=LinearInterpolation(log_x,log_x_vec[i],log_x_vec[i+1],log_y_vec[i],log_y_vec[i+1]); |
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219 | return log_y; |
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220 | |
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221 | } |
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