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Added a musrfit-plugin for fitting sigma(T) in the vortex state with differnt gap symmetries and BCS temperature dependence

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Bastian M. Wojek 2009-09-07 19:32:29 +00:00
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#---------------------------------------------------------------------
# INSTALL
# Bastian M. Wojek, 2009/09/07
#---------------------------------------------------------------------
Installation of the musrfit-plugin "libGapIntegrals.so"
* Download the latest version of the Cuba library ( http://www.feynarts.de/cuba/ )
* Install Cuba using the following inside the extracted directory
./configure
make
make install
* Build the plugin inside the plugin source directory:
make -f Makefile.libGapIntegrals
* Install the plugin to your $ROOTSYS
make -f Makefile.libGapIntegrals install
* The plugin classes can now be accessed inside THEORY blocks of musrfit msr-files via:
userFcn libGapIntegrals.so TGapSWave 4 5
userFcn libGapIntegrals.so TGapDWave 4 5
#---------------------------------------------------------------------
# this is the end ...
#---------------------------------------------------------------------

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#---------------------------------------------------
# get compilation flags from root-config
ROOTCFLAGS = $(shell $(ROOTSYS)/bin/root-config --cflags)
# ROOTLIBS = $(shell $(ROOTSYS)/bin/root-config --libs)
#---------------------------------------------------
OS = LINUX
CXX = g++
CXXFLAGS = -O3 -Wall -Wno-trigraphs -fPIC
MUSRFITINCLUDE = ../../include
LOCALINCLUDE = .
ROOTINCLUDE = $(ROOTSYS)/include
INCLUDES = -I$(LOCALINCLUDE) -I$(MUSRFITINCLUDE) -I$(ROOTINCLUDE)
LD = g++
LDFLAGS = -O
SOFLAGS = -shared
# the output from the root-config script:
CXXFLAGS += $(ROOTCFLAGS)
LDFLAGS += -L/usr/local/lib -lcuba -lm
# some definitions: headers (used to generate *Dict* stuff), sources, objects,...
OBJS =
OBJS += TIntegrator.o
OBJS += TGapIntegrals.o TGapIntegralsDict.o
SHLIB = libGapIntegrals.so
# make the shared lib:
#
all: $(SHLIB)
$(SHLIB): $(OBJS)
@echo "---> Building shared library $(SHLIB) ..."
/bin/rm -f $(SHLIB)
$(LD) $(SOFLAGS) -o $(SHLIB) $(OBJS) $(LDFLAGS)
@echo "done"
# clean up: remove all object file (and core files)
# semicolon needed to tell make there is no source
# for this target!
#
clean:; @rm -f $(OBJS) $(SHLIB) *Dict* core* *~
@echo "---> removing $(OBJS) $(SHLIB)"
#
$(OBJS): %.o: %.cpp
$(CXX) $(INCLUDES) $(CXXFLAGS) -c $<
# Generate the ROOT CINT dictionary
TGapIntegralsDict.cpp: ./TIntegrator.h ./TGapIntegrals.h ./TGapIntegralsLinkDef.h
@echo "Generating dictionary $@..."
rootcint -f $@ -c -p -I$(MUSRFITINCLUDE) $^
install: all
@echo "Installing shared lib: $(SHLIB)"
ifeq ($(OS),LINUX)
cp -pv $(SHLIB) $(ROOTSYS)/lib
cp -pv TIntegrator.h TGapIntegrals.h $(ROOTSYS)/include
endif

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/***************************************************************************
TGapIntegrals.cpp
Author: Bastian M. Wojek
e-mail: bastian.wojek@psi.ch
2009/09/06
***************************************************************************/
/***************************************************************************
* Copyright (C) 2009 by Bastian M. Wojek *
* bastian.wojek@psi.ch *
* *
* This program 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 2 of the License, or *
* (at your option) any later version. *
* *
* This program 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 this program; if not, write to the *
* Free Software Foundation, Inc., *
* 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. *
***************************************************************************/
#include <cassert>
#include <iostream>
using namespace std;
#include "TIntegrator.h"
#include "TGapIntegrals.h"
#define PI 3.14159265358979323846
#define TWOPI 6.28318530717958647692
ClassImp(TGapSWave)
ClassImp(TGapDWave)
ClassImp(TGapAnSWave)
// s wave gap integral
TGapSWave::TGapSWave() {
TGapIntegral *gapint = new TGapIntegral();
fGapIntegral = gapint;
gapint = 0;
delete gapint;
fTemp.clear();
fTempIter = fTemp.end();
fIntegralValues.clear();
fCalcNeeded.clear();
fPar.clear();
}
TGapDWave::TGapDWave() {
TDWaveGapIntegralCuhre *gapint = new TDWaveGapIntegralCuhre();
fGapIntegral = gapint;
gapint = 0;
delete gapint;
fTemp.clear();
fTempIter = fTemp.end();
fIntegralValues.clear();
fCalcNeeded.clear();
fPar.clear();
}
TGapAnSWave::TGapAnSWave() {
TAnSWaveGapIntegralDivonne *gapint = new TAnSWaveGapIntegralDivonne();
fGapIntegral = gapint;
gapint = 0;
delete gapint;
fTemp.clear();
fTempIter = fTemp.end();
fIntegralValues.clear();
fCalcNeeded.clear();
fPar.clear();
}
TGapSWave::~TGapSWave() {
delete fGapIntegral;
fGapIntegral = 0;
fTemp.clear();
fTempIter = fTemp.end();
fIntegralValues.clear();
fCalcNeeded.clear();
fPar.clear();
}
TGapDWave::~TGapDWave() {
delete fGapIntegral;
fGapIntegral = 0;
fTemp.clear();
fTempIter = fTemp.end();
fIntegralValues.clear();
fCalcNeeded.clear();
fPar.clear();
}
TGapAnSWave::~TGapAnSWave() {
delete fGapIntegral;
fGapIntegral = 0;
fTemp.clear();
fTempIter = fTemp.end();
fIntegralValues.clear();
fCalcNeeded.clear();
fPar.clear();
}
double TGapSWave::operator()(double t, const vector<double> &par) const {
assert(par.size() == 2); // two parameters: Tc, Delta(0)
if (t<=0.0)
return 1.0;
else if (t >= par[0])
return 0.0;
bool integralParChanged(false);
if (fPar.empty()) { // first time calling this routine
fPar = par;
integralParChanged = true;
} else { // check if Tc or Delta0 have changed
for (unsigned int i(0); i<par.size(); i++) {
if (par[i] != fPar[i]) {
fPar[i] = par[i];
integralParChanged = true;
}
}
}
bool newTemp(false);
unsigned int vectorIndex;
if (integralParChanged) {
fCalcNeeded.clear();
fCalcNeeded.resize(fTemp.size(), true);
}
fTempIter = find(fTemp.begin(), fTemp.end(), t);
if(fTempIter == fTemp.end()) {
fTemp.push_back(t);
vectorIndex = fTemp.size() - 1;
fCalcNeeded.push_back(true);
newTemp = true;
} else {
vectorIndex = fTempIter - fTemp.begin();
}
if (fCalcNeeded[vectorIndex]) {
double ds;
vector<double> intPar; // parameters for the integral, T & Delta(T)
intPar.push_back(t);
intPar.push_back(par[1]*tanh(1.82*pow(1.018*(par[0]/t-1.0),0.51)));
fGapIntegral->SetParameters(intPar);
ds = 1.0+2.0*fGapIntegral->IntegrateFunc(0.0, 2.0*(t+intPar[1]));
intPar.clear();
if (newTemp)
fIntegralValues.push_back(ds);
else
fIntegralValues[vectorIndex] = ds;
fCalcNeeded[vectorIndex] = false;
}
return fIntegralValues[vectorIndex];
}
double TGapDWave::operator()(double t, const vector<double> &par) const {
assert(par.size() == 2); // two parameters: Tc, Delta(0)
if (t<=0.0)
return 1.0;
else if (t >= par[0])
return 0.0;
bool integralParChanged(false);
if (fPar.empty()) { // first time calling this routine
fPar = par;
integralParChanged = true;
} else { // check if Tc or Delta0 have changed
for (unsigned int i(0); i<par.size(); i++) {
if (par[i] != fPar[i]) {
fPar[i] = par[i];
integralParChanged = true;
}
}
}
bool newTemp(false);
unsigned int vectorIndex;
if (integralParChanged) {
fCalcNeeded.clear();
fCalcNeeded.resize(fTemp.size(), true);
}
fTempIter = find(fTemp.begin(), fTemp.end(), t);
if(fTempIter == fTemp.end()) {
fTemp.push_back(t);
vectorIndex = fTemp.size() - 1;
fCalcNeeded.push_back(true);
newTemp = true;
} else {
vectorIndex = fTempIter - fTemp.begin();
}
if (fCalcNeeded[vectorIndex]) {
double ds;
vector<double> intPar; // parameters for the integral, T & Delta(T)
intPar.push_back(t);
intPar.push_back(par[1]*tanh(1.82*pow(1.018*(par[0]/t-1.0),0.51)));
// double xl[] = {0.0, 0.0}; // lower bound E, phi
// double xu[] = {2.0*(t+intPar[1]), 0.5*PI}; // upper bound E, phi
fGapIntegral->SetParameters(intPar);
// ds = 1.0+4.0/PI*fGapIntegral->IntegrateFunc(2, xl, xu);
ds = 1.0+4.0/PI*fGapIntegral->IntegrateFunc();
intPar.clear();
if (newTemp)
fIntegralValues.push_back(ds);
else
fIntegralValues[vectorIndex] = ds;
fCalcNeeded[vectorIndex] = false;
}
return fIntegralValues[vectorIndex];
}
double TGapAnSWave::operator()(double t, const vector<double> &par) const {
assert(par.size() == 3); // two parameters: Tc, Delta(0), a
if (t<=0.0)
return 1.0;
else if (t >= par[0])
return 0.0;
bool integralParChanged(false);
if (fPar.empty()) { // first time calling this routine
fPar = par;
integralParChanged = true;
} else { // check if Tc or Delta0 have changed
for (unsigned int i(0); i<par.size(); i++) {
if (par[i] != fPar[i]) {
fPar[i] = par[i];
integralParChanged = true;
}
}
}
bool newTemp(false);
unsigned int vectorIndex;
if (integralParChanged) {
fCalcNeeded.clear();
fCalcNeeded.resize(fTemp.size(), true);
}
fTempIter = find(fTemp.begin(), fTemp.end(), t);
if(fTempIter == fTemp.end()) {
fTemp.push_back(t);
vectorIndex = fTemp.size() - 1;
fCalcNeeded.push_back(true);
newTemp = true;
} else {
vectorIndex = fTempIter - fTemp.begin();
}
if (fCalcNeeded[vectorIndex]) {
double ds;
vector<double> intPar; // parameters for the integral, T & Delta(T)
intPar.push_back(t);
intPar.push_back(par[1]*tanh(1.82*pow(1.018*(par[0]/t-1.0),0.51)));
intPar.push_back(par[2]);
// double xl[] = {0.0, 0.0}; // lower bound E, phi
// double xu[] = {4.0*(t+intPar[1]), 0.5*PI}; // upper bound E, phi
fGapIntegral->SetParameters(intPar);
// ds = 1.0+4.0/PI*fGapIntegral->IntegrateFunc(2, xl, xu);
ds = 1.0+4.0/PI*fGapIntegral->IntegrateFunc();
intPar.clear();
if (newTemp)
fIntegralValues.push_back(ds);
else
fIntegralValues[vectorIndex] = ds;
fCalcNeeded[vectorIndex] = false;
}
return fIntegralValues[vectorIndex];
}

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/***************************************************************************
TGapIntegrals.h
Author: Bastian M. Wojek
e-mail: bastian.wojek@psi.ch
2009/09/06
***************************************************************************/
/***************************************************************************
* Copyright (C) 2009 by Bastian M. Wojek *
* bastian.wojek@psi.ch *
* *
* This program 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 2 of the License, or *
* (at your option) any later version. *
* *
* This program 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 this program; if not, write to the *
* Free Software Foundation, Inc., *
* 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. *
***************************************************************************/
#ifndef _TTwoGaps_H_
#define _TTwoGaps_H_
#include<vector>
#include<cmath>
using namespace std;
#include "PUserFcnBase.h"
#include "TIntegrator.h"
class TGapSWave : public PUserFcnBase {
public:
TGapSWave();
~TGapSWave();
double operator()(double, const vector<double>&) const;
private:
TGapIntegral *fGapIntegral;
mutable vector<double> fTemp;
mutable vector<double>::const_iterator fTempIter;
mutable vector<double> fIntegralValues;
mutable vector<bool> fCalcNeeded;
mutable vector<double> fPar;
ClassDef(TGapSWave,1)
};
class TGapDWave : public PUserFcnBase {
public:
TGapDWave();
~TGapDWave();
double operator()(double, const vector<double>&) const;
private:
TDWaveGapIntegralCuhre *fGapIntegral;
mutable vector<double> fTemp;
mutable vector<double>::const_iterator fTempIter;
mutable vector<double> fIntegralValues;
mutable vector<bool> fCalcNeeded;
mutable vector<double> fPar;
ClassDef(TGapDWave,1)
};
class TGapAnSWave : public PUserFcnBase {
public:
TGapAnSWave();
~TGapAnSWave();
double operator()(double, const vector<double>&) const;
private:
TAnSWaveGapIntegralDivonne *fGapIntegral;
mutable vector<double> fTemp;
mutable vector<double>::const_iterator fTempIter;
mutable vector<double> fIntegralValues;
mutable vector<bool> fCalcNeeded;
mutable vector<double> fPar;
ClassDef(TGapAnSWave,1)
};
#endif //_TGapIntegrals_H_

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/***************************************************************************
TGapIntegralsLinkDef.h
Author: Bastian M. Wojek
e-mail: bastian.wojek@psi.ch
2009/09/06
***************************************************************************/
/***************************************************************************
* Copyright (C) 2009 by Bastian M. Wojek *
* bastian.wojek@psi.ch *
* *
* This program 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 2 of the License, or *
* (at your option) any later version. *
* *
* This program 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 this program; if not, write to the *
* Free Software Foundation, Inc., *
* 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. *
***************************************************************************/
// root dictionary stuff --------------------------------------------------
#ifdef __CINT__
#pragma link off all globals;
#pragma link off all classes;
#pragma link off all functions;
#pragma link C++ class TGapSWave+;
#pragma link C++ class TGapDWave+;
#pragma link C++ class TGapAnSWave+;
#endif //__CINT__
// root dictionary stuff --------------------------------------------------

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/***************************************************************************
TIntegrator.h
Author: Bastian M. Wojek
e-mail: bastian.wojek@psi.ch
2009/09/07
***************************************************************************/
/***************************************************************************
* Copyright (C) 2009 by Bastian M. Wojek *
* bastian.wojek@psi.ch *
* *
* This program 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 2 of the License, or *
* (at your option) any later version. *
* *
* This program 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 this program; if not, write to the *
* Free Software Foundation, Inc., *
* 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. *
***************************************************************************/
# include "TIntegrator.h"
# include "cuba.h"
std::vector<double> TDWaveGapIntegralCuhre::fPar;
double TDWaveGapIntegralCuhre::IntegrateFunc()
{
const unsigned int NCOMP(1);
const double EPSREL (1e-4);
const double EPSABS (1e-6);
const unsigned int VERBOSE (0);
const unsigned int LAST (4);
const unsigned int MINEVAL (0);
const unsigned int MAXEVAL (50000);
const unsigned int KEY (13);
int nregions, neval, fail;
double integral[NCOMP], error[NCOMP], prob[NCOMP];
Cuhre(fNDim, NCOMP, Integrand,
EPSREL, EPSABS, VERBOSE | LAST, MINEVAL, MAXEVAL,
KEY,
&nregions, &neval, &fail, integral, error, prob);
return integral[0];
}
void TDWaveGapIntegralCuhre::Integrand(const int *ndim, const double x[],
const int *ncomp, double f[]) // x = {E, phi}, fPar = {T, Delta(T)}
{
double twokt(2.0*0.08617384436*fPar[0]); // kB in meV/K
double Ec(4.0*(fPar[0]+fPar[1])); // upper limit of energy-integration: cutoff energy
double phic(TMath::PiOver2()); // upper limit of phi-integration
double deltasq(TMath::Power(fPar[1]*TMath::Cos(2.0*x[1]*phic),2.0));
f[0] = -phic*Ec/(2.0*twokt*TMath::CosH(TMath::Sqrt(x[0]*x[0]*Ec*Ec+deltasq)/twokt)*TMath::CosH(TMath::Sqrt(x[0]*x[0]*Ec*Ec+deltasq)/twokt));
return;
}
std::vector<double> TAnSWaveGapIntegralCuhre::fPar;
double TAnSWaveGapIntegralCuhre::IntegrateFunc()
{
const unsigned int NCOMP(1);
const double EPSREL (1e-4);
const double EPSABS (1e-6);
const unsigned int VERBOSE (0);
const unsigned int LAST (4);
const unsigned int MINEVAL (0);
const unsigned int MAXEVAL (1000000);
const unsigned int KEY (13);
int nregions, neval, fail;
double integral[NCOMP], error[NCOMP], prob[NCOMP];
Cuhre(fNDim, NCOMP, Integrand,
EPSREL, EPSABS, VERBOSE | LAST, MINEVAL, MAXEVAL,
KEY,
&nregions, &neval, &fail, integral, error, prob);
return integral[0];
}
void TAnSWaveGapIntegralCuhre::Integrand(const int *ndim, const double x[],
const int *ncomp, double f[]) // x = {E, phi}, fPar = {T, Delta(T),a}
{
double twokt(2.0*0.08617384436*fPar[0]); // kB in meV/K
double Ec(4.0*(fPar[0]+fPar[1])); // upper limit of energy-integration: cutoff energy
double phic(TMath::PiOver2()); // upper limit of phi-integration
double deltasq(TMath::Power(fPar[1]*(1.0+fPar[2]*TMath::Cos(4.0*x[1]*phic)),2.0));
f[0] = -phic*Ec/(2.0*twokt*TMath::Power(TMath::CosH(TMath::Sqrt(x[0]*x[0]*Ec*Ec+deltasq)/twokt),2.0));
return;
}
std::vector<double> TAnSWaveGapIntegralDivonne::fPar;
double TAnSWaveGapIntegralDivonne::IntegrateFunc()
{
const unsigned int NCOMP(1);
const double EPSREL (1e-4);
const double EPSABS (1e-6);
const unsigned int VERBOSE (0);
const unsigned int MINEVAL (0);
const unsigned int MAXEVAL (1000000);
const unsigned int KEY1 (47);
const unsigned int KEY2 (1);
const unsigned int KEY3 (1);
const unsigned int MAXPASS (5);
const double BORDER (0.);
const double MAXCHISQ (10.);
const double MINDEVIATION (.25);
const unsigned int NGIVEN (0);
const unsigned int LDXGIVEN (fNDim);
const unsigned int NEXTRA (0);
int nregions, neval, fail;
double integral[NCOMP], error[NCOMP], prob[NCOMP];
Divonne(fNDim, NCOMP, Integrand,
EPSREL, EPSABS, VERBOSE, MINEVAL, MAXEVAL,
KEY1, KEY2, KEY3, MAXPASS, BORDER, MAXCHISQ, MINDEVIATION,
NGIVEN, LDXGIVEN, NULL, NEXTRA, NULL,
&nregions, &neval, &fail, integral, error, prob);
return integral[0];
}
void TAnSWaveGapIntegralDivonne::Integrand(const int *ndim, const double x[],
const int *ncomp, double f[]) // x = {E, phi}, fPar = {T, Delta(T),a}
{
double twokt(2.0*0.08617384436*fPar[0]); // kB in meV/K
double Ec(4.0*(fPar[0]+fPar[1])); // upper limit of energy-integration: cutoff energy
double phic(TMath::PiOver2()); // upper limit of phi-integration
double deltasq(TMath::Power(fPar[1]*(1.0+fPar[2]*TMath::Cos(4.0*x[1]*phic)),2.0));
f[0] = -phic*Ec/(2.0*twokt*TMath::Power(TMath::CosH(TMath::Sqrt(x[0]*x[0]*Ec*Ec+deltasq)/twokt),2.0));
return;
}

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/***************************************************************************
TIntegrator.h
Author: Bastian M. Wojek
e-mail: bastian.wojek@psi.ch
2009/09/07
***************************************************************************/
/***************************************************************************
* Copyright (C) 2009 by Bastian M. Wojek *
* bastian.wojek@psi.ch *
* *
* This program 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 2 of the License, or *
* (at your option) any later version. *
* *
* This program 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 this program; if not, write to the *
* Free Software Foundation, Inc., *
* 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. *
***************************************************************************/
#ifndef _TIntegrator_H_
#define _TIntegrator_H_
#include "Math/GSLIntegrator.h"
#include "Math/GSLMCIntegrator.h"
#include "TMath.h"
#include <vector>
using namespace std;
// 1D Integrator base class - the function to be integrated have to be implemented in a derived class
class TIntegrator {
public:
TIntegrator();
virtual ~TIntegrator();
void SetParameters(const std::vector<double> &par) const { fPar=par; }
virtual double FuncAtX(double) const = 0;
double IntegrateFunc(double, double);
protected:
mutable vector<double> fPar;
private:
static double FuncAtXgsl(double, void *);
ROOT::Math::GSLIntegrator *fIntegrator;
mutable double (*fFunc)(double, void *);
};
inline TIntegrator::TIntegrator() : fFunc(0) {
ROOT::Math::GSLIntegrator *integrator = new ROOT::Math::GSLIntegrator(ROOT::Math::Integration::kADAPTIVE,ROOT::Math::Integration::kGAUSS31);
fIntegrator = integrator;
integrator = 0;
delete integrator;
}
inline TIntegrator::~TIntegrator(){
delete fIntegrator;
fIntegrator=0;
fFunc=0;
}
inline double TIntegrator::FuncAtXgsl(double x, void *obj)
{
return ((TIntegrator*)obj)->FuncAtX(x);
}
inline double TIntegrator::IntegrateFunc(double x1, double x2)
{
fFunc = &TIntegrator::FuncAtXgsl;
return fIntegrator->Integral(fFunc, (this), x1, x2);
}
// Multi dimensional GSL Monte Carlo Integrations
class TMCIntegrator {
public:
TMCIntegrator();
virtual ~TMCIntegrator();
void SetParameters(const std::vector<double> &par) const { fPar=par; }
virtual double FuncAtX(double *) const = 0;
double IntegrateFunc(unsigned int, double *, double *);
protected:
mutable vector<double> fPar;
private:
static double FuncAtXgsl(double *, unsigned int, void *);
ROOT::Math::GSLMCIntegrator *fMCIntegrator;
mutable double (*fFunc)(double *, unsigned int, void *);
};
inline TMCIntegrator::TMCIntegrator() : fFunc(0) {
ROOT::Math::GSLMCIntegrator *integrator = new ROOT::Math::GSLMCIntegrator(ROOT::Math::MCIntegration::kMISER, 1.E-6, 1.E-4, 500000);
fMCIntegrator = integrator;
integrator = 0;
delete integrator;
}
inline TMCIntegrator::~TMCIntegrator(){
delete fMCIntegrator;
fMCIntegrator=0;
fFunc=0;
}
inline double TMCIntegrator::FuncAtXgsl(double *x, unsigned int dim, void *obj)
{
return ((TMCIntegrator*)obj)->FuncAtX(x);
}
inline double TMCIntegrator::IntegrateFunc(unsigned int dim, double *x1, double *x2)
{
fFunc = &TMCIntegrator::FuncAtXgsl;
return fMCIntegrator->Integral(fFunc, dim, x1, x2, (this));
}
// Multidimensional Integrator class for a d-wave gap integral using the Cuhre algorithm
class TDWaveGapIntegralCuhre {
public:
TDWaveGapIntegralCuhre() : fNDim(2) {}
~TDWaveGapIntegralCuhre() { fPar.clear(); }
void SetParameters(const std::vector<double> &par) { fPar=par; }
static void Integrand(const int*, const double[], const int*, double[]);
double IntegrateFunc();
protected:
static vector<double> fPar;
unsigned int fNDim;
};
class TAnSWaveGapIntegralCuhre {
public:
TAnSWaveGapIntegralCuhre() : fNDim(2) {}
~TAnSWaveGapIntegralCuhre() { fPar.clear(); }
void SetParameters(const std::vector<double> &par) { fPar=par; }
static void Integrand(const int*, const double[], const int*, double[]);
double IntegrateFunc();
protected:
static vector<double> fPar;
unsigned int fNDim;
};
class TAnSWaveGapIntegralDivonne {
public:
TAnSWaveGapIntegralDivonne() : fNDim(2) {}
~TAnSWaveGapIntegralDivonne() { fPar.clear(); }
void SetParameters(const std::vector<double> &par) { fPar=par; }
static void Integrand(const int*, const double[], const int*, double[]);
double IntegrateFunc();
protected:
static vector<double> fPar;
unsigned int fNDim;
};
// To be integrated: x*y dx dy
class T2DTest : public TMCIntegrator {
public:
T2DTest() {}
~T2DTest() {}
double FuncAtX(double *) const;
};
inline double T2DTest::FuncAtX(double *x) const
{
return x[0]*x[1];
}
// To be integrated: d wave gap integral
class TDWaveGapIntegral : public TMCIntegrator {
public:
TDWaveGapIntegral() {}
~TDWaveGapIntegral() {}
double FuncAtX(double *) const;
};
inline double TDWaveGapIntegral::FuncAtX(double *x) const // x = {E, phi}, fPar = {T, Delta(T)}
{
double twokt(2.0*0.08617384436*fPar[0]); // kB in meV/K
double deltasq(TMath::Power(fPar[1]*TMath::Cos(2.0*x[1]),2.0));
return -1.0/(2.0*twokt*TMath::CosH(TMath::Sqrt(x[0]*x[0]+deltasq)/twokt)*TMath::CosH(TMath::Sqrt(x[0]*x[0]+deltasq)/twokt));
}
// To be integrated: anisotropic s wave gap integral
class TAnSWaveGapIntegral : public TMCIntegrator {
public:
TAnSWaveGapIntegral() {}
~TAnSWaveGapIntegral() {}
double FuncAtX(double *) const;
};
inline double TAnSWaveGapIntegral::FuncAtX(double *x) const // x = {E, phi}, fPar = {T, Delta(T), a}
{
double twokt(2.0*0.08617384436*fPar[0]); // kB in meV/K
double deltasq(TMath::Power(fPar[1]*(1.0+fPar[2]*TMath::Cos(4.0*x[1])),2.0));
return -1.0/(2.0*twokt*TMath::CosH(TMath::Sqrt(x[0]*x[0]+deltasq)/twokt)*TMath::CosH(TMath::Sqrt(x[0]*x[0]+deltasq)/twokt));
}
// To be integrated: Bessel function times Exponential
class TIntBesselJ0Exp : public TIntegrator {
public:
TIntBesselJ0Exp() {}
~TIntBesselJ0Exp() {}
double FuncAtX(double) const;
};
inline double TIntBesselJ0Exp::FuncAtX(double x) const
{
return TMath::BesselJ0(TMath::TwoPi()*fPar[0]*x) * TMath::Exp(-fPar[1]*x);
}
// To be integrated: Sine times Gaussian
class TIntSinGss : public TIntegrator {
public:
TIntSinGss() {}
~TIntSinGss() {}
double FuncAtX(double) const;
};
inline double TIntSinGss::FuncAtX(double x) const
{
return TMath::Sin(TMath::TwoPi()*fPar[0]*x) * TMath::Exp(-0.5*fPar[1]*fPar[1]*x*x);
}
// To be integrated: df/dE * E / sqrt(E^2+ Delta^2)
class TGapIntegral : public TIntegrator {
public:
TGapIntegral() {}
~TGapIntegral() {}
double FuncAtX(double) const; // variable: E
};
inline double TGapIntegral::FuncAtX(double e) const
{
double twokt(2.0*0.08617384436*fPar[0]); // kB in meV/K
// return -e/(2.0*twokt*TMath::CosH(e/twokt)*TMath::CosH(e/twokt)*TMath::Sqrt(e*e-fPar[1]*fPar[1]));
return -1.0/(2.0*twokt*TMath::CosH(TMath::Sqrt(e*e+fPar[1]*fPar[1])/twokt)*TMath::CosH(TMath::Sqrt(e*e+fPar[1]*fPar[1])/twokt));
}
#endif //_TIntegrator_H_