Gabriele Cosmo
125 lines
5.2 KiB
C++
125 lines
5.2 KiB
C++
//
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// ********************************************************************
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// * License and Disclaimer *
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// * *
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// * The Geant4 software is copyright of the Copyright Holders of *
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// * the Geant4 Collaboration. It is provided under the terms and *
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// * conditions of the Geant4 Software License, included in the file *
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// * LICENSE and available at http://cern.ch/geant4/license . These *
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// * include a list of copyright holders. *
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// * *
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// * Neither the authors of this software system, nor their employing *
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// * institutes,nor the agencies providing financial support for this *
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// * work make any representation or warranty, express or implied, *
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// * regarding this software system or assume any liability for its *
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// * use. Please see the license in the file LICENSE and URL above *
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// * for the full disclaimer and the limitation of liability. *
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// * *
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// * This code implementation is the result of the scientific and *
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// * technical work of the GEANT4 collaboration. *
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// * By using, copying, modifying or distributing the software (or *
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// * any work based on the software) you agree to acknowledge its *
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// * use in resulting scientific publications, and indicate your *
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// * acceptance of all terms of the Geant4 Software license. *
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// ********************************************************************
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//
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// G4Integrator
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//
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// Class description:
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//
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// Template class collecting integrator methods for generic funtions.
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// Author: V.Grichine, 04.09.1999 - First implementation based on
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// G4SimpleIntegration class with H.P.Wellisch, G.Cosmo, and
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// E.TCherniaev advises
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// --------------------------------------------------------------------
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#ifndef G4INTEGRATOR_HH
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#define G4INTEGRATOR_HH 1
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#include "G4Types.hh"
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#include <CLHEP/Units/PhysicalConstants.h>
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#include <cmath>
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template <class T, class F>
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class G4Integrator
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{
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public:
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G4Integrator() { ; }
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~G4Integrator() { ; }
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G4double Simpson(T& typeT, F f, G4double a, G4double b, G4int n);
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G4double Simpson(T* ptrT, F f, G4double a, G4double b, G4int n);
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G4double Simpson(G4double (*f)(G4double), G4double a, G4double b, G4int n);
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// Simpson integration method
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G4double AdaptiveGauss(T& typeT, F f, G4double a, G4double b, G4double e);
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G4double AdaptiveGauss(T* ptrT, F f, G4double a, G4double b, G4double e);
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G4double AdaptiveGauss(G4double (*f)(G4double), G4double a, G4double b,
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G4double e);
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// Adaptive Gauss method
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// Integration methods involving orthogohol polynomials
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G4double Legendre(T& typeT, F f, G4double a, G4double b, G4int n);
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G4double Legendre(T* ptrT, F f, G4double a, G4double b, G4int n);
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G4double Legendre(G4double (*f)(G4double), G4double a, G4double b, G4int n);
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//
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// Methods involving Legendre polynomials
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G4double Legendre10(T& typeT, F f, G4double a, G4double b);
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G4double Legendre10(T* ptrT, F f, G4double a, G4double b);
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G4double Legendre10(G4double (*f)(G4double), G4double a, G4double b);
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//
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// Legendre10 is very fast and accurate enough
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G4double Legendre96(T& typeT, F f, G4double a, G4double b);
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G4double Legendre96(T* ptrT, F f, G4double a, G4double b);
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G4double Legendre96(G4double (*f)(G4double), G4double a, G4double b);
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//
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// Legendre96 is very accurate and fast enough
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G4double Chebyshev(T& typeT, F f, G4double a, G4double b, G4int n);
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G4double Chebyshev(T* ptrT, F f, G4double a, G4double b, G4int n);
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G4double Chebyshev(G4double (*f)(G4double), G4double a, G4double b, G4int n);
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//
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// Methods involving Chebyshev polynomials
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G4double Laguerre(T& typeT, F f, G4double alpha, G4int n);
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G4double Laguerre(T* ptrT, F f, G4double alpha, G4int n);
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G4double Laguerre(G4double (*f)(G4double), G4double alpha, G4int n);
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//
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// Method involving Laguerre polynomials
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G4double Hermite(T& typeT, F f, G4int n);
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G4double Hermite(T* ptrT, F f, G4int n);
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G4double Hermite(G4double (*f)(G4double), G4int n);
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//
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// Method involving Hermite polynomials
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G4double Jacobi(T& typeT, F f, G4double alpha, G4double beta, G4int n);
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G4double Jacobi(T* ptrT, F f, G4double alpha, G4double beta, G4int n);
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G4double Jacobi(G4double (*f)(G4double), G4double alpha, G4double beta,
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G4int n);
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// Method involving Jacobi polynomials
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protected:
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// Auxiliary functions for adaptive Gauss method
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G4double Gauss(T& typeT, F f, G4double a, G4double b);
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G4double Gauss(T* ptrT, F f, G4double a, G4double b);
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G4double Gauss(G4double (*f)(G4double), G4double a, G4double b);
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void AdaptGauss(T& typeT, F f, G4double a, G4double b, G4double e,
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G4double& sum, G4int& n);
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void AdaptGauss(T* typeT, F f, G4double a, G4double b, G4double e,
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G4double& sum, G4int& n);
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void AdaptGauss(G4double (*f)(G4double), G4double a, G4double b, G4double e,
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G4double& sum, G4int& n);
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G4double GammaLogarithm(G4double xx);
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};
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#include "G4Integrator.icc"
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#endif
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