77 lines
3.3 KiB
C++
77 lines
3.3 KiB
C++
//
|
|
// ********************************************************************
|
|
// * License and Disclaimer *
|
|
// * *
|
|
// * The Geant4 software is copyright of the Copyright Holders of *
|
|
// * the Geant4 Collaboration. It is provided under the terms and *
|
|
// * conditions of the Geant4 Software License, included in the file *
|
|
// * LICENSE and available at http://cern.ch/geant4/license . These *
|
|
// * include a list of copyright holders. *
|
|
// * *
|
|
// * Neither the authors of this software system, nor their employing *
|
|
// * institutes,nor the agencies providing financial support for this *
|
|
// * work make any representation or warranty, express or implied, *
|
|
// * regarding this software system or assume any liability for its *
|
|
// * use. Please see the license in the file LICENSE and URL above *
|
|
// * for the full disclaimer and the limitation of liability. *
|
|
// * *
|
|
// * This code implementation is the result of the scientific and *
|
|
// * technical work of the GEANT4 collaboration. *
|
|
// * By using, copying, modifying or distributing the software (or *
|
|
// * any work based on the software) you agree to acknowledge its *
|
|
// * use in resulting scientific publications, and indicate your *
|
|
// * acceptance of all terms of the Geant4 Software license. *
|
|
// ********************************************************************
|
|
//
|
|
// 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
|