[966] | 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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[1196] | 26 | // $Id: G4AdjointInterpolator.cc,v 1.4 2009/11/20 10:31:20 ldesorgh Exp $ |
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[1228] | 27 | // GEANT4 tag $Name: geant4-09-03 $ |
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[1196] | 28 | // |
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[966] | 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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[1196] | 66 | //G4cout<<"Linear "<<res<<G4endl; |
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[966] | 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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[1196] | 74 | //G4cout<<"x1,x2,y1,y2 "<<x1<<'\t'<<x2<<'\t'<<y1<<'\t'<<y2<<'\t'<<G4endl; |
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[966] | 75 | G4double A=y1/std::pow(x1,B); |
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| 76 | G4double res=A*std::pow(x,B); |
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[1196] | 77 | // G4cout<<"Log "<<res<<G4endl; |
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[966] | 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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[1196] | 103 | //G4cout<<"The interpolation method that you invoked does not exist!"<<G4endl; |
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[966] | 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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[1196] | 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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[966] | 110 | { //most rapid nethod could be used probably |
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[1196] | 111 | //It is important to put std::vector<G4double>& such that the vector itself is used and not a copy |
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[966] | 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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[1196] | 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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[966] | 155 | { //most rapid nethod could be used probably |
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[1196] | 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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[966] | 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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[1196] | 175 | G4double G4AdjointInterpolator::Interpolate(G4double& x,std::vector<G4double>& x_vec,std::vector<G4double>& y_vec,G4String InterPolMethod) |
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[966] | 176 | { size_t i=FindPosition(x,x_vec); |
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[1196] | 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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[966] | 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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[1196] | 185 | G4double G4AdjointInterpolator::InterpolateWithIndexVector(G4double& x,std::vector<G4double>& x_vec,std::vector<G4double>& y_vec, |
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[966] | 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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[1196] | 207 | G4double G4AdjointInterpolator::InterpolateForLogVector(G4double& log_x,std::vector<G4double>& log_x_vec,std::vector<G4double>& log_y_vec) |
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[966] | 208 | { //size_t i=0; |
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| 209 | size_t i=FindPositionForLogVector(log_x,log_x_vec); |
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[1196] | 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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[966] | 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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