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//************************************************************************//
// //
// Copyright 2013 Bertram Kopf (bertram@ep1.rub.de) //
// Julian Pychy (julian@ep1.rub.de) //
// - Ruhr-Universität Bochum //
// //
// This file is part of Pawian. //
// //
// Pawian is free software: you can redistribute it and/or modify //
// it under the terms of the GNU General Public License as published by //
// the Free Software Foundation, either version 3 of the License, or //
// (at your option) any later version. //
// //
// Pawian is distributed in the hope that it will be useful, //
// but WITHOUT ANY WARRANTY; without even the implied warranty of //
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the //
// GNU General Public License for more details. //
// //
// You should have received a copy of the GNU General Public License //
// along with Pawian. If not, see <http://www.gnu.org/licenses/>. //
// //
//************************************************************************//
// KMatrixDynamics class definition file. -*- C++ -*-
// Copyright 2013 Bertram Kopf
#include <getopt.h>
#include <fstream>
#include <string>
#include "PwaUtils/KMatrixDynamics.hh"
#include "PwaUtils/XdecAmpRegistry.hh"
#include "PwaUtils/AbsDecay.hh"
#include "PwaUtils/AbsXdecAmp.hh"
#include "PwaUtils/GlobalEnv.hh"
#include "ErrLogger/ErrLogger.hh"
#include "Particle/Particle.hh"
#include "Particle/ParticleTable.hh"
#include "PwaDynamics/FVector.hh"
#include "ConfigParser/KMatrixParser.hh"
#include "PwaDynamics/KMatrixRel.hh"
#include "PwaDynamics/KMatrixRelBg.hh"
#include "PwaDynamics/KPole.hh"
#include "PwaDynamics/KPoleBarrier.hh"
#include "PwaDynamics/PPole.hh"
#include "PwaDynamics/PPoleBarrier.hh"
#include "PwaDynamics/AbsPhaseSpace.hh"
#include "PwaDynamics/PhaseSpaceIsobar.hh"
#include "PwaDynamics/PhaseSpace4Pi.hh"
#include "FitParams/AbsPawianParameters.hh"
KMatrixDynamics::KMatrixDynamics(std::string& name, std::vector<Particle*>& fsParticles, Particle* mother, std::string& pathToConfigParser) :
AbsDynamics(name, fsParticles, mother)
,_kMatName("")
, _orderKMatBg(-1)
,_withKMatAdler(false)
,_currentAdler0(0.)
,_kMatrixParser(new KMatrixParser(pathToConfigParser))
{
init();
_isLdependent=true;
}
KMatrixDynamics::~KMatrixDynamics()
{
}
complex<double> KMatrixDynamics::eval(EvtData* theData, AbsXdecAmp* grandmaAmp, Spin OrbMom){
complex<double> result(0.,0.);
int evtNo=theData->evtNo;
std::string currentKey="default";
if(0!=grandmaAmp) currentKey=_massKey+grandmaAmp->absDec()->massParKey();
if ( _cacheAmps && !_recalcMap.at(currentKey)){
result=_cachedStringOrbMap.at(evtNo).at(currentKey).at(OrbMom);
result=_fVecMap.at(currentKey)->evalProjMatrix(theData->DoubleMassId.at(_dynId), _projectionIndex, OrbMom);
if ( _cacheAmps){
_cachedStringOrbMap[evtNo][currentKey][OrbMom]=result;
}
return result;
}
void KMatrixDynamics::fillDefaultParams(std::shared_ptr<AbsPawianParameters> fitPar){
//beta factor for production
std::map<std::string, std::map<std::string, double> >::iterator it1;
for(it1=_currentbFactorMap.begin(); it1!=_currentbFactorMap.end(); ++it1){
std::string theName=it1->first;
std::map<std::string, double>& bFactors = it1->second;
for(unsigned int i=0; i<_poleNames.size(); ++i){
std::string currentName="b_"+_poleNames.at(i);
// std::cout << "currentName: " << currentName << std::endl;
std::string magName=currentName+"Mag";
fitPar->Add(theName+magName, bFactors.at(magName) , 1.);
// fitPar->SetLimits(theName+magName, 0., bFactors.at(magName)+30.);
std::string phiName=currentName+"Phi";
fitPar->Add(theName+phiName, bFactors.at(phiName) , 0.2);
}
}
//pole positions
for(unsigned int i=0; i<_currentPoleMasses.size(); ++i){
double valMass=_currentPoleMasses.at(i);
double errMass=0.02;
double minMass=valMass-5.*errMass;
if(minMass<0.) minMass=0.;
double maxMass=valMass+5.*errMass;
fitPar->Add(_poleNames.at(i)+"Mass", valMass, errMass);
fitPar->SetLimits(_poleNames.at(i)+"Mass", minMass, maxMass);
}
//g-factors
for(unsigned int i=0; i<_poleNames.size(); ++i){
std::vector<double> currentgFactorVec=_currentgFactorMap.at(i);
for(unsigned int j=0; j<currentgFactorVec.size(); ++j){
std::string currentName=_poleNames.at(i)+_gFactorNames.at(j)+"gFactor";
double currentError=currentgFactorVec.at(j)/3.;
if (currentError<1.e-5) currentError=0.01;
fitPar->Add(currentName, currentgFactorVec.at(j), currentError);
}
}
//k-matrix bg-terms
if(_orderKMatBg>=0){
for(unsigned int i=0; i<=fabs(_orderKMatBg); ++i){
for(unsigned int j=0; j<_phpVecs.size(); ++j){
for(unsigned int k=j; k<_phpVecs.size(); ++k){
std::string currentName=_bgTermNames.at(i).at(j).at(k);
fitPar->Add(currentName, _currentBgTerms.at(i).at(j).at(k), fabs(_currentBgTerms.at(i).at(j).at(k))+0.3);
}
}
}
//Adler-term
if(_withKMatAdler){
fitPar->Add("s0"+_kMatName, _currentAdler0, fabs(_currentAdler0)+0.2);
}
}
}
Bertram Kopf
committed
void KMatrixDynamics::fillParamNameList(){
_paramNameList.clear();
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committed
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committed
//beta factor for production
std::map<std::string, std::map<std::string, double> >::iterator it1;
for(it1=_currentbFactorMap.begin(); it1!=_currentbFactorMap.end(); ++it1){
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committed
std::string theName=it1->first;
std::vector<std::string> currentNameList;
// std::map<std::string, double>& bFactors = it1->second;
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for(unsigned int i=0; i<_poleNames.size(); ++i){
std::string currentName="b_"+_poleNames.at(i);
// std::cout << "currentName: " << currentName << std::endl;
std::string magName=currentName+"Mag";
_paramNameList.push_back(theName+magName);
currentNameList.push_back(theName+magName);
Bertram Kopf
committed
std::string phiName=currentName+"Phi";
_paramNameList.push_back(theName+phiName);
currentNameList.push_back(theName+phiName);
_paramNameListMap[theName]=currentNameList;
std::map<std::string, std::vector<std::string> >::iterator itNameMap;
//pole positions
for(unsigned int i=0; i<_currentPoleMasses.size(); ++i){
Bertram Kopf
committed
_paramNameList.push_back(_poleNames.at(i)+"Mass");
for(itNameMap=_paramNameListMap.begin(); itNameMap!=_paramNameListMap.end(); ++itNameMap){
itNameMap->second.push_back(_poleNames.at(i)+"Mass");
}
Bertram Kopf
committed
//g-factors
for(unsigned int i=0; i<_poleNames.size(); ++i){
std::vector<double> currentgFactorVec=_currentgFactorMap.at(i);
for(unsigned int j=0; j<currentgFactorVec.size(); ++j){
std::string currentName=_poleNames.at(i)+_gFactorNames.at(j)+"gFactor";
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_paramNameList.push_back(currentName);
for(itNameMap=_paramNameListMap.begin(); itNameMap!=_paramNameListMap.end(); ++itNameMap){
itNameMap->second.push_back(currentName);
}
}
}
Bertram Kopf
committed
//k-matrix bg-terms
if(_orderKMatBg>=0){
for(unsigned int i=0; i<=fabs(_orderKMatBg); ++i){
for(unsigned int j=0; j<_phpVecs.size(); ++j){
Bertram Kopf
committed
for(unsigned int k=j; k<_phpVecs.size(); ++k){
std::string currentName=_bgTermNames.at(i).at(j).at(k);
_paramNameList.push_back(currentName);
for(itNameMap=_paramNameListMap.begin(); itNameMap!=_paramNameListMap.end(); ++itNameMap){
itNameMap->second.push_back(currentName);
}
Bertram Kopf
committed
}
}
}
//Adler-term
if(_withKMatAdler){
Bertram Kopf
committed
_paramNameList.push_back("s0"+_kMatName);
for(itNameMap=_paramNameListMap.begin(); itNameMap!=_paramNameListMap.end(); ++itNameMap){
itNameMap->second.push_back("s0"+_kMatName);
}
}
}
}
bool KMatrixDynamics::checkRecalculation(std::shared_ptr<AbsPawianParameters> fitParNew, std::shared_ptr<AbsPawianParameters> fitParOld){
std::map<std::string, std::vector<std::string> >::iterator itMap;
for(itMap= _paramNameListMap.begin(); itMap !=_paramNameListMap.end(); ++itMap){
_recalcMap.at(itMap->first)=false;
std::vector<std::string>::iterator itStr;
for (itStr=itMap->second.begin(); itStr!=itMap->second.end(); ++itStr){
std::string currentParamName=*itStr;
if(!CheckDoubleEquality(fitParNew->Value(currentParamName), fitParOld->Value(currentParamName))){
_recalcMap.at(itMap->first)=true;
continue;
}
return AbsParamHandler::checkRecalculation(fitParNew, fitParOld);
Bertram Kopf
committed
void KMatrixDynamics::updateFitParams(std::shared_ptr<AbsPawianParameters> fitPar){
//beta factor for production
std::map<std::string, std::map<std::string, double> >::iterator it1;
for(it1=_currentbFactorMap.begin(); it1!=_currentbFactorMap.end(); ++it1){
std::map<std::string, double>::iterator it2;
std::map<std::string, double>& bFactors=it1->second;
for(it2=bFactors.begin(); it2!=bFactors.end(); ++it2){
Bertram Kopf
committed
it2->second=fitPar->Value(it1->first+it2->first);
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committed
std::shared_ptr<PVectorRel> currentPVec=_pVecMap.at(it1->first);
for(unsigned int i=0; i<_poleNames.size(); ++i){
std::string currentName="b_"+_poleNames.at(i);
complex<double> currentbFactor=fabs(bFactors.at(currentName+"Mag"))*complex<double>(cos(bFactors.at(currentName+"Phi")), sin(bFactors.at(currentName+"Phi")));
currentPVec->updateBeta(i, currentbFactor);
}
}
//pole positions
for(unsigned int i=0; i<_currentPoleMasses.size(); ++i){
Bertram Kopf
committed
std::string currentPoleName=_poleNames.at(i)+"Mass";
double currentPoleMass=fitPar->Value(currentPoleName);
_currentPoleMasses.at(i)=currentPoleMass;
_kPoles.at(i)->updatePoleMass(currentPoleMass);
std::map<std::string, std::shared_ptr<PVectorRel> >::iterator itPVec;
for(itPVec=_pVecMap.begin(); itPVec!=_pVecMap.end(); ++itPVec){
itPVec->second->updatePoleMass(i, currentPoleMass);
}
}
//g-factors
for(unsigned int i=0; i<_poleNames.size(); ++i){
std::vector<double>& currentgFactorVec=_currentgFactorMap.at(i);
for(unsigned int j=0; j<currentgFactorVec.size(); ++j){
std::string currentName=_poleNames.at(i)+_gFactorNames.at(j)+"gFactor";
Bertram Kopf
committed
currentgFactorVec.at(j)=fitPar->Value(currentName);
}
_kPoles.at(i)->updategFactors(currentgFactorVec);
std::map<std::string, std::shared_ptr<PVectorRel> >::iterator itPVec;
for(itPVec=_pVecMap.begin(); itPVec!=_pVecMap.end(); ++itPVec){
itPVec->second->updategFactors(i, currentgFactorVec);
}
}
//k-matrix bg-terms
if(_orderKMatBg>=0){
for(unsigned int i=0; i<=fabs(_orderKMatBg); ++i){
for(unsigned int j=0; j<_phpVecs.size(); ++j){
for(unsigned int k=j; k<_phpVecs.size(); ++k){
Bertram Kopf
committed
double newVal=fitPar->Value(_bgTermNames.at(i).at(j).at(k));
_currentBgTerms.at(i).at(j).at(k)=newVal;
_kMatr->updateBgTerms(i,j,k,newVal);
}
}
}
//Adler-term
if(_withKMatAdler){
Bertram Kopf
committed
_currentAdler0=fitPar->Value("s0"+_kMatName);
_kMatr->updates0Adler(_currentAdler0);
}
}
Bertram Kopf
committed
Bertram Kopf
committed
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// void KMatrixDynamics::updateFitParams(fitParCol& theParamVal){
// //beta factor for production
// std::map<std::string, std::map<std::string, double> >::iterator it1;
// for(it1=_currentbFactorMap.begin(); it1!=_currentbFactorMap.end(); ++it1){
// std::map<std::string, double>::iterator it2;
// std::map<std::string, double>& bFactors=it1->second;
// for(it2=bFactors.begin(); it2!=bFactors.end(); ++it2){
// it2->second=theParamVal.otherParams.at(it1->first+it2->first);
// }
// std::shared_ptr<PVectorRel> currentPVec=_pVecMap.at(it1->first);
// for(unsigned int i=0; i<_poleNames.size(); ++i){
// std::string currentName="b_"+_poleNames.at(i);
// complex<double> currentbFactor=bFactors.at(currentName+"Mag")*complex<double>(cos(bFactors.at(currentName+"Phi")), sin(bFactors.at(currentName+"Phi")));
// currentPVec->updateBeta(i, currentbFactor);
// }
// }
// //pole positions
// std::vector<double >::iterator itPoleVec;
// for(unsigned int i=0; i<_currentPoleMasses.size(); ++i){
// double currentPoleMass=theParamVal.Masses[_poleNames.at(i)];
// _currentPoleMasses.at(i)=currentPoleMass;
// _kPoles.at(i)->updatePoleMass(currentPoleMass);
// std::map<std::string, std::shared_ptr<PVectorRel> >::iterator itPVec;
// for(itPVec=_pVecMap.begin(); itPVec!=_pVecMap.end(); ++itPVec){
// itPVec->second->updatePoleMass(i, currentPoleMass);
// }
// }
// //g-factors
// for(unsigned int i=0; i<_poleNames.size(); ++i){
// std::vector<double>& currentgFactorVec=_currentgFactorMap.at(i);
// for(unsigned int j=0; j<currentgFactorVec.size(); ++j){
// std::string currentName=_poleNames.at(i)+_gFactorNames.at(j)+"gFactor";
// currentgFactorVec.at(j)=theParamVal.gFactors.at(currentName);
// }
// _kPoles.at(i)->updategFactors(currentgFactorVec);
// std::map<std::string, std::shared_ptr<PVectorRel> >::iterator itPVec;
// for(itPVec=_pVecMap.begin(); itPVec!=_pVecMap.end(); ++itPVec){
// itPVec->second->updategFactors(i, currentgFactorVec);
// }
// }
// //k-matrix bg-terms
// if(_orderKMatBg>=0){
// for(unsigned int i=0; i<=fabs(_orderKMatBg); ++i){
// for(unsigned int j=0; j<_phpVecs.size(); ++j){
// for(unsigned int k=j; k<_phpVecs.size(); ++k){
// double newVal=theParamVal.otherParams.at(_bgTermNames.at(i).at(j).at(k));
// _currentBgTerms.at(i).at(j).at(k)=newVal;
// _kMatr->updateBgTerms(i,j,k,newVal);
// }
// }
// }
// //Adler-term
// if(_withKMatAdler){
// _currentAdler0=theParamVal.otherParams.at("s0"+_kMatName);
// _kMatr->updates0Adler(_currentAdler0);
// }
// }
// }
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void KMatrixDynamics::addGrandMa(std::shared_ptr<AbsDecay> theDec){
if(0==theDec){
Alert << "Can not add AbsXdecAmp; 0 pointer!!!" << endmsg;
exit(1);
}
std::string theName=_massKey+theDec->massParKey();
std::cout << "addGrandMa:\t" << theName << std::endl;
std::map<std::string, std::shared_ptr<FVector> >::iterator it = _fVecMap.find(theName);
if (it != _fVecMap.end()) return;
std::shared_ptr<PVectorRel> currentPVector=makeNewPVec();
_pVecMap[theName]=currentPVector;
std::vector< std::string>::iterator poleNameIt;
for (poleNameIt=_poleNames.begin(); poleNameIt!=_poleNames.end(); ++poleNameIt){
std::string currentName="b_"+(*poleNameIt);
_currentbFactorMap[theName][currentName+"Mag"]=1.;
_currentbFactorMap[theName][currentName+"Phi"]=0.;
}
std::map<std::string, double>& bFactors = _currentbFactorMap[theName];
for(unsigned int i=0; i<_poleNames.size(); ++i){
std::string currentName="b_"+_poleNames[i];
std::cout << "currentName: " << currentName << std::endl;
complex<double> currentbFactor=bFactors[currentName+"Mag"]*complex<double>(cos(bFactors[currentName+"Phi"]), sin(bFactors[currentName+"Phi"]));
currentPVector->updateBeta(i, currentbFactor);
}
std::shared_ptr<FVector> currentFVector=std::shared_ptr<FVector>(new FVector(_kMatr, currentPVector));
_fVecMap[theName]=currentFVector;
_recalcMap[theName]=true;
}
const std::string& KMatrixDynamics::grandMaKey(AbsXdecAmp* grandmaAmp){
if(0==grandmaAmp) return _grandmaKey;
return grandmaAmp->absDec()->massParKey();
}
const unsigned short KMatrixDynamics::grandMaId(AbsXdecAmp* grandmaAmp){
if(0==grandmaAmp) return _grandmaId;
return grandmaAmp->absDec()->massParId();
}
void KMatrixDynamics::init(){
_kMatName=_kMatrixParser->keyName();
_orderKMatBg=_kMatrixParser->orderBg();
_withKMatAdler=_kMatrixParser->useAdler();
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std::vector<std::string> poleNameAndMassVecs=_kMatrixParser->poles();
std::vector<std::string>::iterator itString;
for (itString=poleNameAndMassVecs.begin(); itString!=poleNameAndMassVecs.end(); ++itString){
std::istringstream poleIString(*itString);
std::string currentPoleName;
std::string currentPoleMassStr;
poleIString >> currentPoleName >> currentPoleMassStr;
std::istringstream currentPoleMassiStr(currentPoleMassStr);
double currentValue;
if(!(currentPoleMassiStr >> currentValue)){
Alert << "cannot convert " << currentPoleMassStr << " to a double value" << endmsg;
exit(0);
}
_currentPoleMasses.push_back(currentValue);
_poleNames.push_back(currentPoleName);
}
if(_currentPoleMasses.size()!= _kMatrixParser->noOfPoles()){
Alert << "number of poles != number of pole masses" << endmsg;
exit(0);
}
const std::vector<std::string> gFacStringVec=_kMatrixParser->gFactors();
std::vector<std::string>::const_iterator itStrConst;
for(itStrConst=gFacStringVec.begin(); itStrConst!=gFacStringVec.end(); ++itStrConst){
std::istringstream particles(*itStrConst);
std::string firstParticleName;
std::string secondParticleName;
particles >> firstParticleName >> secondParticleName;
Particle* firstParticle = GlobalEnv::instance()->particleTable()->particle(firstParticleName);
Particle* secondParticle = GlobalEnv::instance()->particleTable()->particle(secondParticleName);
if(0==firstParticle || 0==secondParticle){
Alert << "particle with name: " << firstParticleName <<" or " << secondParticleName << " doesn't exist in pdg-table" << endmsg;
exit(0);
}
std::shared_ptr<AbsPhaseSpace> currentPhp;
if(firstParticleName=="rho0" && secondParticleName=="rho0") currentPhp = std::shared_ptr<AbsPhaseSpace> (new PhaseSpace4Pi());
else currentPhp = std::shared_ptr<AbsPhaseSpace>(new PhaseSpaceIsobar(firstParticle->mass(), secondParticle->mass()));
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_phpVecs.push_back(currentPhp);
std::string gFactorKey=firstParticleName+secondParticleName;
_gFactorNames.push_back(gFactorKey);
for (int i=0; i<int(_kMatrixParser->noOfPoles()); ++i){
std::string currentPoleName=_poleNames[i];
std::string currentgValueStr;
if(!(particles >> currentgValueStr)){
Alert << "g-factors for pole " << currentPoleName << " does not exist!" << endmsg;
exit(0);
}
std::istringstream currentgValueiStr(currentgValueStr);
double currentGValue;
if (!(currentgValueiStr >> currentGValue)){
Alert << "cannot convert " << currentgValueStr << " to a double value" << endmsg;
exit(0);
}
_currentgFactorMap[i].push_back(currentGValue);
}
}
std::map<int, std::vector<double> >::iterator itgFac;
for (itgFac=_currentgFactorMap.begin(); itgFac!=_currentgFactorMap.end(); ++itgFac){
std::vector<double> currentgVector=itgFac->second;
std::shared_ptr<KPole> currentPole;
if (_kMatrixParser->useBarrierFactors()) currentPole=std::shared_ptr<KPole>(new KPoleBarrier(currentgVector, _currentPoleMasses.at(itgFac->first), _phpVecs, _kMatrixParser->orbitalMom(), _kMatrixParser->useTruncatedBarrierFactors()));
else currentPole=std::shared_ptr<KPole>(new KPole(currentgVector, _currentPoleMasses.at(itgFac->first)));
_kPoles.push_back(currentPole);
}
if(_orderKMatBg<0) _kMatr=std::shared_ptr<KMatrixRel>(new KMatrixRel(_kPoles,_phpVecs ));
else {
_currentBgTerms.resize(_orderKMatBg+1);
_bgTermNames.resize(_orderKMatBg+1);
for(unsigned int i=0; i<= fabs(_orderKMatBg); ++i){
_currentBgTerms.at(i).resize(_phpVecs.size());
_bgTermNames.at(i).resize(_phpVecs.size());
for(unsigned int j=0; j<_phpVecs.size(); ++j){
_currentBgTerms.at(i).at(j).resize(_phpVecs.size());
_bgTermNames.at(i).at(j).resize(_phpVecs.size());
for(unsigned int k=j; k<_phpVecs.size(); ++k){
_currentBgTerms.at(i).at(j).at(k)=0.;
std::stringstream keyOrderStrStr;
keyOrderStrStr << i << j << k;
std::string keyOrder=keyOrderStrStr.str();
std::string currentName="bg"+keyOrder+_kMatName;
_bgTermNames.at(i).at(j).at(k)=currentName;
}
}
}
_kMatr=std::shared_ptr<KMatrixRel>(new KMatrixRelBg(_kPoles,_phpVecs, _orderKMatBg, _withKMatAdler ));
if(_withKMatAdler){
_currentAdler0=_kMatrixParser->s0Adler();
_kMatr->updates0Adler(_currentAdler0);
_kMatr->updatesnormAdler(_kMatrixParser->snormAdler());
}
}
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const std::string porjectionParticleNames=_kMatrixParser->projection();
std::istringstream projParticles(porjectionParticleNames);
std::string firstProjParticleName;
std::string secondProjParticleName;
projParticles >> firstProjParticleName >> secondProjParticleName;
std::string projKey=firstProjParticleName+secondProjParticleName;
bool found=false;
for(unsigned int i=0; i<_gFactorNames.size();++i){
if(projKey==_gFactorNames[i]){
_projectionIndex=i;
found=true;
}
}
if (!found){
Alert << "projection index for key " << projKey << " not found" << endmsg;
exit(0);
}
}
std::shared_ptr<PVectorRel> KMatrixDynamics::makeNewPVec(){
vector<std::shared_ptr<PPole> > thePpoles;
complex<double> defaultBeta(1.,0.);
vector<std::shared_ptr<KPole> >::iterator it;
for (it=_kPoles.begin(); it!=_kPoles.end(); ++it){
std::vector<double> currentGFactors=(*it)->gFactors();
std::shared_ptr<PPole> currentPPole;
if (_kMatrixParser->useBarrierFactors()) currentPPole=std::shared_ptr<PPole>(new PPoleBarrier(defaultBeta, currentGFactors, (*it)->poleMass(), _phpVecs, _kMatrixParser->orbitalMom(), _kMatrixParser->useTruncatedBarrierFactors()));
else currentPPole=std::shared_ptr<PPole>(new PPole(defaultBeta, currentGFactors, (*it)->poleMass()));
thePpoles.push_back(currentPPole);
}
std::shared_ptr<PVectorRel> thePVector(new PVectorRel(thePpoles, _phpVecs));
return thePVector;
}