G4Integrator.hh

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// G4Integrator
//
// Class description:
//
// Template class collecting integrator methods for generic funtions.
 
// Author: V.Grichine, 04.09.1999 - First implementation based on
//         G4SimpleIntegration class with H.P.Wellisch, G.Cosmo, and
//         E.TCherniaev advises
// --------------------------------------------------------------------
#ifndef G4INTEGRATOR_HH
#define G4INTEGRATOR_HH 1
 
#include "G4Types.hh"
#include <CLHEP/Units/PhysicalConstants.h>
#include <cmath>
 
template <class T, class F>
class G4Integrator
{
 public:
  G4Integrator() { ; }
  ~G4Integrator() { ; }
 
  G4double Simpson(T& typeT, F f, G4double a, G4double b, G4int n);
  G4double Simpson(T* ptrT, F f, G4double a, G4double b, G4int n);
  G4double Simpson(G4double (*f)(G4double), G4double a, G4double b, G4int n);
  // Simpson integration method
 
  G4double AdaptiveGauss(T& typeT, F f, G4double a, G4double b, G4double e);
  G4double AdaptiveGauss(T* ptrT, F f, G4double a, G4double b, G4double e);
  G4double AdaptiveGauss(G4double (*f)(G4double), G4double a, G4double b,
                         G4double e);
  // Adaptive Gauss method
 
  // Integration methods involving orthogohol polynomials
 
  G4double Legendre(T& typeT, F f, G4double a, G4double b, G4int n);
  G4double Legendre(T* ptrT, F f, G4double a, G4double b, G4int n);
  G4double Legendre(G4double (*f)(G4double), G4double a, G4double b, G4int n);
  //
  // Methods involving Legendre polynomials
 
  G4double Legendre10(T& typeT, F f, G4double a, G4double b);
  G4double Legendre10(T* ptrT, F f, G4double a, G4double b);
  G4double Legendre10(G4double (*f)(G4double), G4double a, G4double b);
  //
  // Legendre10 is very fast and accurate enough
 
  G4double Legendre96(T& typeT, F f, G4double a, G4double b);
  G4double Legendre96(T* ptrT, F f, G4double a, G4double b);
  G4double Legendre96(G4double (*f)(G4double), G4double a, G4double b);
  //
  // Legendre96 is very accurate and fast enough
 
  G4double Chebyshev(T& typeT, F f, G4double a, G4double b, G4int n);
  G4double Chebyshev(T* ptrT, F f, G4double a, G4double b, G4int n);
  G4double Chebyshev(G4double (*f)(G4double), G4double a, G4double b, G4int n);
  //
  // Methods involving Chebyshev  polynomials
 
  G4double Laguerre(T& typeT, F f, G4double alpha, G4int n);
  G4double Laguerre(T* ptrT, F f, G4double alpha, G4int n);
  G4double Laguerre(G4double (*f)(G4double), G4double alpha, G4int n);
  //
  // Method involving Laguerre polynomials
 
  G4double Hermite(T& typeT, F f, G4int n);
  G4double Hermite(T* ptrT, F f, G4int n);
  G4double Hermite(G4double (*f)(G4double), G4int n);
  //
  // Method involving Hermite polynomials
 
  G4double Jacobi(T& typeT, F f, G4double alpha, G4double beta, G4int n);
  G4double Jacobi(T* ptrT, F f, G4double alpha, G4double beta, G4int n);
  G4double Jacobi(G4double (*f)(G4double), G4double alpha, G4double beta,
                  G4int n);
  // Method involving Jacobi polynomials
 
 protected:
  // Auxiliary functions for adaptive Gauss method
 
  G4double Gauss(T& typeT, F f, G4double a, G4double b);
  G4double Gauss(T* ptrT, F f, G4double a, G4double b);
  G4double Gauss(G4double (*f)(G4double), G4double a, G4double b);
 
  void AdaptGauss(T& typeT, F f, G4double a, G4double b, G4double e,
                  G4double& sum, G4int& n);
  void AdaptGauss(T* typeT, F f, G4double a, G4double b, G4double e,
                  G4double& sum, G4int& n);
  void AdaptGauss(G4double (*f)(G4double), G4double a, G4double b, G4double e,
                  G4double& sum, G4int& n);
 
  G4double GammaLogarithm(G4double xx);
};
 
#include "G4Integrator.icc"
 
#endif