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geant4/source/global/HEPNumerics/include/G4VGaussianQuadrature.hh
2022-12-09 14:43:28 +01:00

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//
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//
// G4VGaussianQuadrature
//
// 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.
// Author: V.Grichine, 18.04.1997
// --------------------------------------------------------------------
#ifndef G4VGAUSSIANQUADRATURE_HH
#define G4VGAUSSIANQUADRATURE_HH 1
#include "globals.hh"
using function = G4double (*)(G4double);
class G4VGaussianQuadrature
{
public:
explicit G4VGaussianQuadrature(function pFunction);
// Base constructor
virtual ~G4VGaussianQuadrature();
// Virtual destructor
G4VGaussianQuadrature(const G4VGaussianQuadrature&) = delete;
G4VGaussianQuadrature& operator=(const G4VGaussianQuadrature&) = delete;
G4double GetAbscissa(G4int index) const;
G4double GetWeight(G4int index) const;
G4int GetNumber() const;
// Access functions
protected:
G4double GammaLogarithm(G4double xx);
// Auxiliary function which returns the value of std::log(gamma-function(x))
// Data members common for GaussianQuadrature family
//
function fFunction; // pointer to the function to be integrated
G4double* fAbscissa = nullptr; // array of abscissas
G4double* fWeight = nullptr; // array of corresponding weights
G4int fNumber = 0; // the number of points in fAbscissa and fWeight arrays
};
#endif