| 1 | //
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| 2 | // ********************************************************************
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| 3 | // * License and Disclaimer *
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| 4 | // * *
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| 5 | // * The Geant4 software is copyright of the Copyright Holders of *
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| 6 | // * the Geant4 Collaboration. It is provided under the terms and *
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| 7 | // * conditions of the Geant4 Software License, included in the file *
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| 8 | // * LICENSE and available at http://cern.ch/geant4/license . These *
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| 9 | // * include a list of copyright holders. *
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| 10 | // * *
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| 11 | // * Neither the authors of this software system, nor their employing *
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| 12 | // * institutes,nor the agencies providing financial support for this *
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| 13 | // * work make any representation or warranty, express or implied, *
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| 14 | // * regarding this software system or assume any liability for its *
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| 15 | // * use. Please see the license in the file LICENSE and URL above *
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| 16 | // * for the full disclaimer and the limitation of liability. *
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| 17 | // * *
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| 18 | // * This code implementation is the result of the scientific and *
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| 19 | // * technical work of the GEANT4 collaboration. *
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| 20 | // * By using, copying, modifying or distributing the software (or *
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| 21 | // * any work based on the software) you agree to acknowledge its *
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| 22 | // * use in resulting scientific publications, and indicate your *
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| 23 | // * acceptance of all terms of the Geant4 Software license. *
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| 24 | // ********************************************************************
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| 25 | //
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| 26 | //
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| 27 | // $Id: G4VGaussianQuadrature.hh,v 1.7 2006/06/29 18:59:58 gunter Exp $
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| 28 | // GEANT4 tag $Name: HEAD $
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| 29 | //
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| 30 | // Class description:
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| 31 | //
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| 32 | // Base Class for realisation of numerical methodes for integration of functions
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| 33 | // with signature double f(double) by Gaussian quadrature methods
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| 34 | // Roots of ortogonal polynoms and corresponding weights are calculated based on
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| 35 | // iteration method (by bisection Newton algorithm). Constant values for initial
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| 36 | // approximations were derived from the book: M. Abramowitz, I. Stegun, Handbook
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| 37 | // of mathematical functions, DOVER Publications INC, New York 1965 ; chapters 9,
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| 38 | // 10, and 22 .
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| 39 | //
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| 40 | // ---------------------------- Member data: ----------------------------------
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| 41 | //
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| 42 | // fFunction - pointer to the function to be integrated
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| 43 | // fNumber - the number of points in fAbscissa and fWeight arrays
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| 44 | // fAbscissa - array of abscissas, where function will be evaluated
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| 45 | // fWeight - array of corresponding weights
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| 46 | //
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| 47 | //
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| 48 | // ----------------------------------------------------------------------
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| 49 | //
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| 50 | // Auxiliary function which returns the value of std::log(gamma-function(x))
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| 51 | //
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| 52 | // G4double
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| 53 | // GammaLogarithm(G4double xx)
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| 54 |
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| 55 | // ------------------------------------------------------------------------------
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| 56 | //
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| 57 | // History:
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| 58 | // 18.04.97 V.Grichine ( Vladimir.Grichine@cern.ch )
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| 59 |
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| 60 | #ifndef G4VGAUSSIANQUADRATURE_HH
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| 61 | #define G4VGAUSSIANQUADRATURE_HH
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| 62 |
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| 63 | #include "globals.hh"
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| 64 |
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| 65 | typedef G4double (*function)(G4double) ;
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| 66 |
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| 67 | class G4VGaussianQuadrature
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| 68 | {
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| 69 | public:
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| 70 |
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| 71 | explicit G4VGaussianQuadrature( function pFunction ) ;
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| 72 | // Base constructor
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| 73 |
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| 74 | virtual ~G4VGaussianQuadrature() ;
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| 75 | // Virtual destructor
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| 76 |
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| 77 | G4double GetAbscissa(G4int index) const ;
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| 78 | G4double GetWeight(G4int index) const ;
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| 79 | G4int GetNumber() const;
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| 80 | // Access functions
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| 81 |
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| 82 | protected:
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| 83 |
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| 84 | G4double GammaLogarithm(G4double xx) ;
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| 85 |
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| 86 | // Data members common for GaussianQuadrature family
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| 87 | //
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| 88 | function fFunction ;
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| 89 | G4double* fAbscissa ;
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| 90 | G4double* fWeight ;
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| 91 | G4int fNumber ;
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| 92 |
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| 93 | private:
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| 94 |
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| 95 | G4VGaussianQuadrature(const G4VGaussianQuadrature&);
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| 96 | G4VGaussianQuadrature& operator=(const G4VGaussianQuadrature&);
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| 97 | };
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| 98 |
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| 99 | #endif
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