Restructured the interdependencies within the BMWlibs (maybe other commits will follow)
This commit is contained in:
Bastian M. Wojek
519
src/external/BMWtools/BMWIntegrator.h
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519
src/external/BMWtools/BMWIntegrator.h
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/***************************************************************************
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BMWIntegrator.h
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Author: Bastian M. Wojek
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e-mail: bastian.wojek@psi.ch
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$Id$
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***************************************************************************/
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/***************************************************************************
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* Copyright (C) 2009 by Bastian M. Wojek *
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* bastian.wojek@psi.ch *
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* *
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* This program is free software; you can redistribute it and/or modify *
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* it under the terms of the GNU General Public License as published by *
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* the Free Software Foundation; either version 2 of the License, or *
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* (at your option) any later version. *
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* *
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* This program is distributed in the hope that it will be useful, *
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* but WITHOUT ANY WARRANTY; without even the implied warranty of *
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
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* GNU General Public License for more details. *
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* *
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* You should have received a copy of the GNU General Public License *
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* along with this program; if not, write to the *
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* Free Software Foundation, Inc., *
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* 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. *
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***************************************************************************/
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#ifndef _BMWIntegrator_H_
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#define _BMWIntegrator_H_
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#include "Math/GSLIntegrator.h"
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#include "Math/GSLMCIntegrator.h"
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#include "TMath.h"
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#include <cmath>
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#include <vector>
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using namespace std;
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/**
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* <p>Base class for 1D integrations using the GNU Scientific Library integrator.
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* The function which should be integrated has to be implemented in a derived class.
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* Note: The purpose of this is to offer an easy-to-use interface---not the most efficient integration routine.
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*/
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class TIntegrator {
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public:
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TIntegrator();
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virtual ~TIntegrator();
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void SetParameters(const std::vector<double> &par) const { fPar=par; }
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virtual double FuncAtX(double) const = 0;
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double IntegrateFunc(double, double);
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protected:
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mutable vector<double> fPar; ///< parameters of the integrand
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private:
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static double FuncAtXgsl(double, void *);
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ROOT::Math::GSLIntegrator *fIntegrator; ///< pointer to the GSL integrator
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mutable double (*fFunc)(double, void *); ///< pointer to the integrand function
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};
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/**
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* <p>Constructor of the base class for 1D integrations
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* Allocation of memory for an integration using the adaptive 31 point Gauss-Kronrod rule
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*/
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inline TIntegrator::TIntegrator() : fFunc(0) {
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fIntegrator = new ROOT::Math::GSLIntegrator(ROOT::Math::Integration::kADAPTIVE,ROOT::Math::Integration::kGAUSS31);
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}
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/**
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* <p>Destructor of the base class for 1D integrations
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* Clean up.
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*/
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inline TIntegrator::~TIntegrator(){
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fPar.clear();
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delete fIntegrator;
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fIntegrator=0;
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fFunc=0;
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}
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/**
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* <p>Method for passing the integrand function value to the integrator.
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*
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* <p><b>return:</b>
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* - function value of the integrand
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*
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* \param x point at which the function value is calculated
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* \param obj pointer to the integrator
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*/
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inline double TIntegrator::FuncAtXgsl(double x, void *obj)
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{
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return ((TIntegrator*)obj)->FuncAtX(x);
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}
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/**
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* <p>Calculate the integral of the function between the given boundaries
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*
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* <p><b>return:</b>
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* - value of the integral
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*
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* \param x1 lower boundary
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* \param x2 upper boundary
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*/
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inline double TIntegrator::IntegrateFunc(double x1, double x2)
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{
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fFunc = &TIntegrator::FuncAtXgsl;
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return fIntegrator->Integral(fFunc, (this), x1, x2);
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}
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/**
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* <p>Base class for multidimensional Monte-Carlo integrations using the GNU Scientific Library integrator.
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* The function which should be integrated has to be implemented in a derived class.
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* Note: The purpose of this is to offer an easy-to-use interface---not the most efficient integration routine.
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*/
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class TMCIntegrator {
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public:
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TMCIntegrator();
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virtual ~TMCIntegrator();
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void SetParameters(const std::vector<double> &par) const { fPar=par; }
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virtual double FuncAtX(double *) const = 0;
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double IntegrateFunc(size_t, double *, double *);
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protected:
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mutable vector<double> fPar; ///< parameters of the integrand
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private:
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static double FuncAtXgsl(double *, size_t, void *);
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ROOT::Math::GSLMCIntegrator *fMCIntegrator; ///< pointer to the GSL integrator
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mutable double (*fFunc)(double *, size_t, void *); ///< pointer to the integrand function
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};
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/**
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* <p>Constructor of the base class for multidimensional Monte-Carlo integrations
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* Allocation of memory for an integration using the MISER algorithm of Press and Farrar
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*/
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inline TMCIntegrator::TMCIntegrator() : fFunc(0) {
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fMCIntegrator = new ROOT::Math::GSLMCIntegrator(ROOT::Math::MCIntegration::kMISER, 1.E-6, 1.E-4, 500000);
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}
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/**
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* <p>Destructor of the base class for 1D integrations
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* Clean up.
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*/
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inline TMCIntegrator::~TMCIntegrator(){
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fPar.clear();
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delete fMCIntegrator;
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fMCIntegrator=0;
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fFunc=0;
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}
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/**
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* <p>Method for passing the integrand function value to the integrator.
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*
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* <p><b>return:</b>
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* - function value of the integrand
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*
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* \param x point at which the function value is calculated
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* \param dim number of dimensions
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* \param obj pointer to the integrator
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*/
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inline double TMCIntegrator::FuncAtXgsl(double *x, size_t dim, void *obj)
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{
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return ((TMCIntegrator*)obj)->FuncAtX(x);
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}
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/**
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* <p>Calculate the integral of the function between the given boundaries
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*
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* <p><b>return:</b>
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* - value of the integral
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*
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* \param dim number of dimensions
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* \param x1 lower boundary array
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* \param x2 upper boundary array
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*/
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inline double TMCIntegrator::IntegrateFunc(size_t dim, double *x1, double *x2)
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{
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fFunc = &TMCIntegrator::FuncAtXgsl;
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return fMCIntegrator->Integral(fFunc, dim, x1, x2, (this));
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}
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/**
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* <p>Two-dimensional integrator class for the efficient calculation of the superfluid density within the semi-classical model
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* assuming a cylindrical Fermi surface and a d_{x^2-y^2} symmetry of the superconducting order parameter.
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* The integration uses the Cuhre algorithm of the Cuba library.
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*/
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class TDWaveGapIntegralCuhre {
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public:
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TDWaveGapIntegralCuhre() : fNDim(2) {}
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~TDWaveGapIntegralCuhre() { fPar.clear(); }
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void SetParameters(const std::vector<double> &par) { fPar=par; }
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static int Integrand(const int*, const double[], const int*, double[], void*);
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double IntegrateFunc();
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protected:
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static vector<double> fPar; ///< parameters of the integrand
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unsigned int fNDim; ///< dimension of the integral
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};
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/**
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* <p>Two-dimensional integrator class for the efficient calculation of the superfluid density along the a-axis
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* within the semi-classical model assuming a cylindrical Fermi surface and a mixed d_{x^2-y^2} + s symmetry of the
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* superconducting order parameter (effectively: d_{x^2-y^2} with shifted nodes and a-b-anisotropy).
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* The integration uses the Cuhre algorithm of the Cuba library.
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*/
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class TCosSqDWaveGapIntegralCuhre {
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public:
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TCosSqDWaveGapIntegralCuhre() : fNDim(2) {}
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~TCosSqDWaveGapIntegralCuhre() { fPar.clear(); }
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void SetParameters(const std::vector<double> &par) { fPar=par; }
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static int Integrand(const int*, const double[], const int*, double[], void*);
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double IntegrateFunc();
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protected:
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static vector<double> fPar; ///< parameters of the integrand
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unsigned int fNDim; ///< dimension of the integral
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};
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/**
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* <p>Two-dimensional integrator class for the efficient calculation of the superfluid density along the b-axis
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* within the semi-classical model assuming a cylindrical Fermi surface and a mixed d_{x^2-y^2} + s symmetry of the
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* superconducting order parameter (effectively: d_{x^2-y^2} with shifted nodes and a-b-anisotropy).
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* The integration uses the Cuhre algorithm of the Cuba library.
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*/
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class TSinSqDWaveGapIntegralCuhre {
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public:
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TSinSqDWaveGapIntegralCuhre() : fNDim(2) {}
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~TSinSqDWaveGapIntegralCuhre() { fPar.clear(); }
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void SetParameters(const std::vector<double> &par) { fPar=par; }
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static int Integrand(const int*, const double[], const int*, double[], void*);
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double IntegrateFunc();
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protected:
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static vector<double> fPar; ///< parameters of the integrand
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unsigned int fNDim; ///< dimension of the integral
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};
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/**
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* <p>Two-dimensional integrator class for the efficient calculation of the superfluid density within the semi-classical model
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* assuming a cylindrical Fermi surface and an "anisotropic s-wave" symmetry of the superconducting order parameter.
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* The integration uses the Cuhre algorithm of the Cuba library.
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*/
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class TAnSWaveGapIntegralCuhre {
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public:
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TAnSWaveGapIntegralCuhre() : fNDim(2) {}
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~TAnSWaveGapIntegralCuhre() { fPar.clear(); }
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void SetParameters(const std::vector<double> &par) { fPar=par; }
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static int Integrand(const int*, const double[], const int*, double[], void*);
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double IntegrateFunc();
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protected:
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static vector<double> fPar; ///< parameters of the integrand
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unsigned int fNDim; ///< dimension of the integral
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};
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/**
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* <p>Two-dimensional integrator class for the efficient calculation of the superfluid density within the semi-classical model
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* assuming a cylindrical Fermi surface and an "anisotropic s-wave" symmetry of the superconducting order parameter.
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* The integration uses the Divonne algorithm of the Cuba library.
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*/
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class TAnSWaveGapIntegralDivonne {
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public:
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TAnSWaveGapIntegralDivonne() : fNDim(2) {}
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~TAnSWaveGapIntegralDivonne() { fPar.clear(); }
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void SetParameters(const std::vector<double> &par) { fPar=par; }
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static int Integrand(const int*, const double[], const int*, double[], void*);
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double IntegrateFunc();
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protected:
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static vector<double> fPar; ///< parameters of the integrand
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unsigned int fNDim; ///< dimension of the integral
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};
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/**
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* <p>Two-dimensional integrator class for the efficient calculation of the superfluid density within the semi-classical model
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* assuming a cylindrical Fermi surface and an "anisotropic s-wave" symmetry of the superconducting order parameter.
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* The integration uses the Suave algorithm of the Cuba library.
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*/
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class TAnSWaveGapIntegralSuave {
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public:
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TAnSWaveGapIntegralSuave() : fNDim(2) {}
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~TAnSWaveGapIntegralSuave() { fPar.clear(); }
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void SetParameters(const std::vector<double> &par) { fPar=par; }
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static int Integrand(const int*, const double[], const int*, double[], void*);
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double IntegrateFunc();
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protected:
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static vector<double> fPar; ///< parameters of the integrand
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unsigned int fNDim; ///< dimension of the integral
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};
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/**
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* <p>Two-dimensional integrator class for the efficient calculation of the superfluid density within the semi-classical model
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* assuming a cylindrical Fermi surface and an "non-monotonic d-wave" symmetry of the superconducting order parameter.
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* The integration uses the Cuhre algorithm of the Cuba library.
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*/
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class TNonMonDWave1GapIntegralCuhre {
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public:
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TNonMonDWave1GapIntegralCuhre() : fNDim(2) {}
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~TNonMonDWave1GapIntegralCuhre() { fPar.clear(); }
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void SetParameters(const std::vector<double> &par) { fPar=par; }
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static int Integrand(const int*, const double[], const int*, double[], void*);
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double IntegrateFunc();
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protected:
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static vector<double> fPar; ///< parameters of the integrand
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unsigned int fNDim; ///< dimension of the integral
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};
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|
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/**
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* <p>Two-dimensional integrator class for the efficient calculation of the superfluid density within the semi-classical model
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* assuming a cylindrical Fermi surface and an "non-monotonic d-wave" symmetry of the superconducting order parameter.
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* The integration uses the Cuhre algorithm of the Cuba library.
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*/
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class TNonMonDWave2GapIntegralCuhre {
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public:
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TNonMonDWave2GapIntegralCuhre() : fNDim(2) {}
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~TNonMonDWave2GapIntegralCuhre() { fPar.clear(); }
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void SetParameters(const std::vector<double> &par) { fPar=par; }
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static int Integrand(const int*, const double[], const int*, double[], void*);
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double IntegrateFunc();
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|
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protected:
|
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static vector<double> fPar; ///< parameters of the integrand
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unsigned int fNDim; ///< dimension of the integral
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};
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/**
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* <p>Test class for the 2D MC integration
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* Integral: x*y dx dy
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*/
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class T2DTest : public TMCIntegrator {
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public:
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T2DTest() {}
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~T2DTest() {}
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double FuncAtX(double *) const;
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};
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|
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/**
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* <p>Calculate the function value---actual implementation of the function x*y
|
||||
*
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* <p><b>return:</b>
|
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* - function value
|
||||
*
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* \param x point where the function should be evaluated
|
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*/
|
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inline double T2DTest::FuncAtX(double *x) const
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{
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return x[0]*x[1];
|
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}
|
||||
|
||||
/**
|
||||
* <p>Class for the 2D Monte-Carlo integration for the calculation of the superfluid density within the semi-classical model
|
||||
* assuming a cylindrical Fermi surface and a d_{x^2-y^2} symmetry of the superconducting order parameter.
|
||||
* The integration uses the GSL integration routines.
|
||||
*/
|
||||
class TDWaveGapIntegral : public TMCIntegrator {
|
||||
public:
|
||||
TDWaveGapIntegral() {}
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~TDWaveGapIntegral() {}
|
||||
double FuncAtX(double *) const;
|
||||
};
|
||||
|
||||
/**
|
||||
* <p>Calculate the function value---actual implementation of the function
|
||||
*
|
||||
* <p><b>return:</b>
|
||||
* - function value
|
||||
*
|
||||
* \param x point where the function should be evaluated
|
||||
*/
|
||||
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));
|
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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));
|
||||
}
|
||||
|
||||
/**
|
||||
* <p>Class for the 2D Monte-Carlo integration for the calculation of the superfluid density within the semi-classical model
|
||||
* assuming a cylindrical Fermi surface and an "anisotropic s-wave" symmetry of the superconducting order parameter.
|
||||
* The integration uses the GSL integration routines.
|
||||
*/
|
||||
class TAnSWaveGapIntegral : public TMCIntegrator {
|
||||
public:
|
||||
TAnSWaveGapIntegral() {}
|
||||
~TAnSWaveGapIntegral() {}
|
||||
double FuncAtX(double *) const;
|
||||
};
|
||||
|
||||
/**
|
||||
* <p>Calculate the function value---actual implementation of the function
|
||||
*
|
||||
* <p><b>return:</b>
|
||||
* - function value
|
||||
*
|
||||
* \param x point where the function should be evaluated
|
||||
*/
|
||||
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));
|
||||
}
|
||||
|
||||
/**
|
||||
* <p>Class for the 1D integration of j0(a*x)*exp(-b*x)
|
||||
* The integration uses the GSL integration routines.
|
||||
*/
|
||||
class TIntBesselJ0Exp : public TIntegrator {
|
||||
public:
|
||||
TIntBesselJ0Exp() {}
|
||||
~TIntBesselJ0Exp() {}
|
||||
double FuncAtX(double) const;
|
||||
};
|
||||
|
||||
/**
|
||||
* <p>Calculate the function value---actual implementation of the function j0(a*x)*exp(-b*x)
|
||||
*
|
||||
* <p><b>return:</b>
|
||||
* - function value
|
||||
*
|
||||
* \param x point where the function should be evaluated
|
||||
*/
|
||||
inline double TIntBesselJ0Exp::FuncAtX(double x) const
|
||||
{
|
||||
double w0t(TMath::TwoPi()*fPar[0]*x);
|
||||
double j0;
|
||||
if (fabs(w0t) < 0.001) { // check zero time limits of the spherical bessel functions j0(x) and j1(x)
|
||||
j0 = 1.0;
|
||||
} else {
|
||||
j0 = TMath::Sin(w0t)/w0t;
|
||||
}
|
||||
return j0 * TMath::Exp(-fPar[1]*x);
|
||||
}
|
||||
|
||||
/**
|
||||
* <p>Class for the 1D integration of sin(a*x)*exp(-b*x*x)
|
||||
* The integration uses the GSL integration routines.
|
||||
*/
|
||||
class TIntSinGss : public TIntegrator {
|
||||
public:
|
||||
TIntSinGss() {}
|
||||
~TIntSinGss() {}
|
||||
double FuncAtX(double) const;
|
||||
};
|
||||
|
||||
/**
|
||||
* <p>Calculate the function value---actual implementation of the function sin(a*x)*exp(-b*x*x)
|
||||
*
|
||||
* <p><b>return:</b>
|
||||
* - function value
|
||||
*
|
||||
* \param x point where the function should be evaluated
|
||||
*/
|
||||
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);
|
||||
}
|
||||
|
||||
/**
|
||||
* <p>Class for the 1D integration of the "DeRenzi Spin Glass Interpolation Integrand"
|
||||
* See Eq. (5) of R. De Renzi and S. Fanesi, Physica B 289-290, 209-212 (2000).
|
||||
* doi:10.1016/S0921-4526(00)00368-9
|
||||
* The integration uses the GSL integration routines.
|
||||
*/
|
||||
class TIntSGInterpolation : public TIntegrator {
|
||||
public:
|
||||
TIntSGInterpolation() {}
|
||||
~TIntSGInterpolation() {}
|
||||
double FuncAtX(double) const;
|
||||
};
|
||||
|
||||
/**
|
||||
* <p>Calculate the function value---actual implementation of the function
|
||||
*
|
||||
* <p><b>return:</b>
|
||||
* - function value
|
||||
*
|
||||
* \param x point where the function should be evaluated
|
||||
*/
|
||||
inline double TIntSGInterpolation::FuncAtX(double x) const
|
||||
{
|
||||
// Parameters: nu_L [MHz], a [1/us], lambda [1/us], beta [1], t [us]
|
||||
double wt(TMath::TwoPi()*fPar[0]*x);
|
||||
double expo(0.5*fPar[1]*fPar[1]*x*x/fPar[3]+fPar[2]*fPar[4]);
|
||||
return (wt*TMath::Cos(wt)-TMath::Sin(wt))/(wt*wt)*TMath::Exp(-TMath::Power(expo,fPar[3]))/TMath::Power(expo,(1.0-fPar[3]));
|
||||
}
|
||||
|
||||
/**
|
||||
* <p>Class for the 1D integration for the calculation of the superfluid density within the semi-classical model
|
||||
* assuming a cylindrical Fermi surface and an isotropic s-wave symmetry of the superconducting order parameter.
|
||||
* The integration uses the GSL integration routines.
|
||||
*/
|
||||
class TGapIntegral : public TIntegrator {
|
||||
public:
|
||||
TGapIntegral() {}
|
||||
~TGapIntegral() {}
|
||||
double FuncAtX(double) const; // variable: E
|
||||
};
|
||||
|
||||
/**
|
||||
* <p>Calculate the function value---actual implementation of the function df/dE * E / sqrt(E^2 - Delta^2)
|
||||
*
|
||||
* <p><b>return:</b>
|
||||
* - function value
|
||||
*
|
||||
* \param x point where the function should be evaluated
|
||||
*/
|
||||
inline double TGapIntegral::FuncAtX(double e) const
|
||||
{
|
||||
return 1.0/(TMath::Power(TMath::CosH(TMath::Sqrt(e*e+fPar[1]*fPar[1])/fPar[0]),2.0));
|
||||
}
|
||||
|
||||
#endif //_TIntegrator_H_
|
||||
Reference in New Issue
Block a user