G4VGaussianQuadrature.hh

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// $Id$
//
// Class description:
//
// Base Class for realisation of numerical methodes for integration of functions
// with signature double f(double) by Gaussian quadrature methods
// Roots of ortogonal polynoms and corresponding weights are calculated based on
// iteration method (by bisection Newton algorithm). Constant values for initial
// approximations were derived from the book: M. Abramowitz, I. Stegun, Handbook
// of mathematical functions, DOVER Publications INC, New York 1965 ; chapters 9,
// 10, and 22 .
//
// ---------------------------- Member data: ----------------------------------
//
//  fFunction  - pointer to the function to be integrated
//  fNumber    - the number of points in fAbscissa and fWeight arrays
//  fAbscissa  - array of abscissas, where function will be evaluated
//  fWeight    - array of corresponding weights
//
//
// ----------------------------------------------------------------------
//
// Auxiliary function which returns the value of std::log(gamma-function(x))
//
// G4double 
// GammaLogarithm(G4double xx)
 
// ------------------------------------------------------------------------------
//
// History:
//             18.04.97   V.Grichine ( [email protected] )
 
#ifndef G4VGAUSSIANQUADRATURE_HH
#define G4VGAUSSIANQUADRATURE_HH
 
#include "globals.hh"
 
typedef G4double (*function)(G4double) ;
 
class G4VGaussianQuadrature
{
  public:
 
    explicit G4VGaussianQuadrature( function pFunction ) ;
      // Base constructor
 
    virtual ~G4VGaussianQuadrature() ;
      // Virtual destructor     
 
    G4double GetAbscissa(G4int index) const ;
    G4double GetWeight(G4int index) const ;
    G4int    GetNumber() const;
      // Access functions
 
  protected:
 
    G4double GammaLogarithm(G4double xx) ;
 
    //  Data members common for GaussianQuadrature family
    //
    function  fFunction ;
    G4double* fAbscissa ;
    G4double* fWeight ;
    G4int     fNumber ;
 
  private:
 
    G4VGaussianQuadrature(const G4VGaussianQuadrature&);
    G4VGaussianQuadrature& operator=(const G4VGaussianQuadrature&);
};
 
#endif