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geant4/source/processes/electromagnetic/adjoint/src/G4AdjointInterpolator.cc
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2018-12-07 15:15:39 +01:00

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//
// ********************************************************************
// * License and Disclaimer *
// * *
// * The Geant4 software is copyright of the Copyright Holders of *
// * the Geant4 Collaboration. It is provided under the terms and *
// * conditions of the Geant4 Software License, included in the file *
// * LICENSE and available at http://cern.ch/geant4/license . These *
// * include a list of copyright holders. *
// * *
// * Neither the authors of this software system, nor their employing *
// * institutes,nor the agencies providing financial support for this *
// * work make any representation or warranty, express or implied, *
// * regarding this software system or assume any liability for its *
// * use. Please see the license in the file LICENSE and URL above *
// * for the full disclaimer and the limitation of liability. *
// * *
// * This code implementation is the result of the scientific and *
// * technical work of the GEANT4 collaboration. *
// * By using, copying, modifying or distributing the software (or *
// * any work based on the software) you agree to acknowledge its *
// * use in resulting scientific publications, and indicate your *
// * acceptance of all terms of the Geant4 Software license. *
// ********************************************************************
//
//
#include "G4AdjointCSMatrix.hh"
#include "G4AdjointInterpolator.hh"
G4ThreadLocal G4AdjointInterpolator* G4AdjointInterpolator::theInstance = 0;
///////////////////////////////////////////////////////
//
G4AdjointInterpolator* G4AdjointInterpolator::GetAdjointInterpolator()
{
return GetInstance();
}
///////////////////////////////////////////////////////
//
G4AdjointInterpolator* G4AdjointInterpolator::GetInstance()
{
if(!theInstance)
{
theInstance = new G4AdjointInterpolator;
}
return theInstance;
}
///////////////////////////////////////////////////////
//
G4AdjointInterpolator::G4AdjointInterpolator()
{
}
///////////////////////////////////////////////////////
//
G4AdjointInterpolator::~G4AdjointInterpolator()
{
}
///////////////////////////////////////////////////////
//
G4double G4AdjointInterpolator::LinearInterpolation(G4double& x,G4double& x1,G4double& x2,G4double& y1,G4double& y2)
{
G4double res = y1+ (x-x1)*(y2-y1)/(x2-x1);
//G4cout<<"Linear "<<res<<G4endl;
return res;
}
///////////////////////////////////////////////////////
//
G4double G4AdjointInterpolator::LogarithmicInterpolation(G4double& x,G4double& x1,G4double& x2,G4double& y1,G4double& y2)
{
if (y1<=0 || y2<=0 || x1<=0) return LinearInterpolation(x,x1,x2,y1,y2);
G4double B=std::log(y2/y1)/std::log(x2/x1);
//G4cout<<"x1,x2,y1,y2 "<<x1<<'\t'<<x2<<'\t'<<y1<<'\t'<<y2<<'\t'<<G4endl;
G4double A=y1/std::pow(x1,B);
G4double res=A*std::pow(x,B);
// G4cout<<"Log "<<res<<G4endl;
return res;
}
///////////////////////////////////////////////////////
//
G4double G4AdjointInterpolator::ExponentialInterpolation(G4double& x,G4double& x1,G4double& x2,G4double& y1,G4double& y2)
{
G4double B=(std::log(y2)-std::log(y1));
B=B/(x2-x1);
G4double A=y1*std::exp(-B*x1);
G4double res=A*std::exp(B*x);
return res;
}
///////////////////////////////////////////////////////
//
G4double G4AdjointInterpolator::Interpolation(G4double& x,G4double& x1,G4double& x2,G4double& y1,G4double& y2,G4String InterPolMethod)
{
if (InterPolMethod == "Log" ){
return LogarithmicInterpolation(x,x1,x2,y1,y2);
}
else if (InterPolMethod == "Lin" ){
return LinearInterpolation(x,x1,x2,y1,y2);
}
else if (InterPolMethod == "Exp" ){
return ExponentialInterpolation(x,x1,x2,y1,y2);
}
else {
//G4cout<<"The interpolation method that you invoked does not exist!"<<G4endl;
return -1111111111.;
}
}
///////////////////////////////////////////////////////
//
size_t G4AdjointInterpolator::FindPosition(G4double& x,std::vector<G4double>& x_vec,size_t , size_t ) //only valid if x_vec is monotically increasing
{
//most rapid nethod could be used probably
//It is important to put std::vector<G4double>& such that the vector itself is used and not a copy
size_t ndim = x_vec.size();
size_t ind1 = 0;
size_t ind2 = ndim - 1;
/* if (ind_max >= ind_min){
ind1=ind_min;
ind2=ind_max;
}
*/
if (ndim >1) {
if (x_vec[0] < x_vec[1] ) { //increasing
do {
size_t midBin = (ind1 + ind2)/2;
if (x < x_vec[midBin])
ind2 = midBin;
else
ind1 = midBin;
// Loop checking, 07-Aug-2015, Vladimir Ivanchenko
} while (ind2 - ind1 > 1);
}
else {
do {
size_t midBin = (ind1 + ind2)/2;
if (x < x_vec[midBin])
ind1 = midBin;
else
ind2 = midBin;
// Loop checking, 07-Aug-2015, Vladimir Ivanchenko
} while (ind2 - ind1 > 1);
}
}
return ind1;
}
///////////////////////////////////////////////////////
//
size_t G4AdjointInterpolator::FindPositionForLogVector(G4double& log_x,std::vector<G4double>& log_x_vec) //only valid if x_vec is monotically increasing
{
//most rapid nethod could be used probably
//It is important to put std::vector<G4double>& such that the vector itself is used and not a copy
return FindPosition(log_x, log_x_vec);
/*
if (log_x_vec.size()>3){
size_t ind=0;
G4double log_x1=log_x_vec[1];
G4double d_log =log_x_vec[2]-log_x1;
G4double dind=(log_x-log_x1)/d_log +1.;
if (dind <1.) ind=0;
else if (dind >= double(log_x_vec.size())-2.) ind =log_x_vec.size()-2;
else ind =size_t(dind);
return ind;
}
else return FindPosition(log_x, log_x_vec);
*/
}
///////////////////////////////////////////////////////
//
G4double G4AdjointInterpolator::Interpolate(G4double& x,std::vector<G4double>& x_vec,std::vector<G4double>& y_vec,G4String InterPolMethod)
{
size_t i=FindPosition(x,x_vec);
//G4cout<<i<<G4endl;
//G4cout<<x<<G4endl;
//G4cout<<x_vec[i]<<G4endl;
return Interpolation( x,x_vec[i],x_vec[i+1],y_vec[i],y_vec[i+1],InterPolMethod);
}
///////////////////////////////////////////////////////
//
G4double G4AdjointInterpolator::InterpolateWithIndexVector(G4double& x,std::vector<G4double>& x_vec,std::vector<G4double>& y_vec,
std::vector<size_t>& index_vec,G4double x0, G4double dx) //only linear interpolation possible
{
size_t ind=0;
if (x>x0) ind=int((x-x0)/dx);
if (ind >= index_vec.size()-1) ind= index_vec.size()-2;
size_t ind1 = index_vec[ind];
size_t ind2 = index_vec[ind+1];
if (ind1 >ind2) {
size_t ind11=ind1;
ind1=ind2;
ind2=ind11;
}
ind=FindPosition(x,x_vec,ind1,ind2);
return Interpolation( x,x_vec[ind],x_vec[ind+1],y_vec[ind],y_vec[ind+1],"Lin");
}
///////////////////////////////////////////////////////
//
G4double G4AdjointInterpolator::InterpolateForLogVector(G4double& log_x,std::vector<G4double>& log_x_vec,std::vector<G4double>& log_y_vec)
{
//size_t i=0;
size_t i=FindPositionForLogVector(log_x,log_x_vec);
/*G4cout<<"In interpolate "<<G4endl;
G4cout<<i<<G4endl;
G4cout<<log_x<<G4endl;
G4cout<<log_x_vec[i]<<G4endl;
G4cout<<log_x_vec[i+1]<<G4endl;
G4cout<<log_y_vec[i]<<G4endl;
G4cout<<log_y_vec[i+1]<<G4endl;*/
G4double log_y=LinearInterpolation(log_x,log_x_vec[i],log_x_vec[i+1],log_y_vec[i],log_y_vec[i+1]);
return log_y;
}