| [833] | 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: G4Integrator.hh,v 1.7 2006/06/29 18:59:45 gunter Exp $
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| [1228] | 28 | // GEANT4 tag $Name: geant4-09-03 $
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| [833] | 29 | //
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| 30 | // Class description:
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| 31 | //
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| 32 | // Template class collecting integrator methods for generic funtions.
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| 33 |
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| 34 | // History:
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| 35 | //
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| 36 | // 04.09.99 V.Grichine, first implementation based on G4SimpleIntegration class
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| 37 | // H.P.Wellisch, G.Cosmo, and E.Cherniaev advises
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| 38 | // 08.09.99 V.Grichine, methods involving orthogonal polynomials
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| 39 | //
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| 40 |
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| 41 |
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| 42 | #ifndef G4INTEGRATOR_HH
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| 43 | #define G4INTEGRATOR_HH 1
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| 44 |
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| 45 | #include "G4Types.hh"
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| 46 | #include <cmath>
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| 47 |
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| 48 | template <class T, class F>
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| 49 | class G4Integrator
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| 50 | {
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| 51 | public: // with description
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| 52 |
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| 53 | G4Integrator(){;}
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| 54 | ~G4Integrator(){;}
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| 55 |
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| 56 | G4double Simpson( T& typeT, F f, G4double a, G4double b, G4int n ) ;
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| 57 | G4double Simpson( T* ptrT, F f, G4double a, G4double b, G4int n ) ;
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| 58 | G4double Simpson( G4double (*f)(G4double),
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| 59 | G4double a, G4double b, G4int n ) ;
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| 60 | // Simpson integration method
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| 61 |
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| 62 | G4double AdaptiveGauss( T& typeT, F f, G4double a, G4double b, G4double e ) ;
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| 63 | G4double AdaptiveGauss( T* ptrT, F f, G4double a, G4double b, G4double e ) ;
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| 64 | G4double AdaptiveGauss( G4double (*f)(G4double),
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| 65 | G4double a, G4double b, G4double e ) ;
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| 66 | // Adaptive Gauss method
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| 67 |
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| 68 |
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| 69 | // Integration methods involving orthogohol polynomials
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| 70 |
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| 71 | G4double Legendre( T& typeT, F f, G4double a, G4double b, G4int n) ;
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| 72 | G4double Legendre( T* ptrT, F f, G4double a, G4double b, G4int n) ;
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| 73 | G4double Legendre( G4double (*f)(G4double), G4double a, G4double b, G4int n) ;
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| 74 | //
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| 75 | // Methods involving Legendre polynomials
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| 76 |
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| 77 | G4double Legendre10( T& typeT, F f,G4double a, G4double b) ;
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| 78 | G4double Legendre10( T* ptrT, F f,G4double a, G4double b) ;
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| 79 | G4double Legendre10( G4double (*f)(G4double), G4double a, G4double b) ;
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| 80 | //
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| 81 | // Legendre10 is very fast and accurate enough
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| 82 |
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| 83 | G4double Legendre96( T& typeT, F f,G4double a, G4double b) ;
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| 84 | G4double Legendre96( T* ptrT, F f,G4double a, G4double b) ;
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| 85 | G4double Legendre96( G4double (*f)(G4double), G4double a, G4double b) ;
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| 86 | //
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| 87 | // Legendre96 is very accurate and fast enough
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| 88 |
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| 89 | G4double Chebyshev( T& typeT, F f, G4double a, G4double b, G4int n) ;
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| 90 | G4double Chebyshev( T* ptrT, F f, G4double a, G4double b, G4int n) ;
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| 91 | G4double Chebyshev( G4double (*f)(G4double), G4double a, G4double b, G4int n) ;
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| 92 | //
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| 93 | // Methods involving Chebyshev polynomials
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| 94 |
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| 95 | G4double Laguerre( T& typeT, F f, G4double alpha, G4int n) ;
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| 96 | G4double Laguerre( T* ptrT, F f, G4double alpha, G4int n) ;
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| 97 | G4double Laguerre( G4double (*f)(G4double), G4double alpha, G4int n) ;
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| 98 | //
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| 99 | // Method involving Laguerre polynomials
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| 100 |
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| 101 | G4double Hermite( T& typeT, F f, G4int n) ;
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| 102 | G4double Hermite( T* ptrT, F f, G4int n) ;
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| 103 | G4double Hermite( G4double (*f)(G4double), G4int n) ;
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| 104 | //
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| 105 | // Method involving Hermite polynomials
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| 106 |
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| 107 | G4double Jacobi( T& typeT, F f, G4double alpha, G4double beta, G4int n) ;
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| 108 | G4double Jacobi( T* ptrT, F f, G4double alpha, G4double beta, G4int n) ;
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| 109 | G4double Jacobi( G4double (*f)(G4double), G4double alpha,
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| 110 | G4double beta, G4int n) ;
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| 111 | // Method involving Jacobi polynomials
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| 112 |
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| 113 |
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| 114 | protected:
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| 115 |
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| 116 | // Auxiliary function for adaptive Gauss method
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| 117 |
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| 118 | G4double Gauss( T& typeT, F f, G4double a, G4double b ) ;
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| 119 | G4double Gauss( T* ptrT, F f, G4double a, G4double b ) ;
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| 120 | G4double Gauss( G4double (*f)(G4double), G4double a, G4double b) ;
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| 121 |
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| 122 | void AdaptGauss( T& typeT, F f, G4double a, G4double b,
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| 123 | G4double e, G4double& sum, G4int& n) ;
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| 124 | void AdaptGauss( T* typeT, F f, G4double a, G4double b,
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| 125 | G4double e, G4double& sum, G4int& n ) ;
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| 126 | void AdaptGauss( G4double (*f)(G4double), G4double a, G4double b,
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| 127 | G4double e, G4double& sum, G4int& n ) ;
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| 128 |
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| 129 | G4double GammaLogarithm(G4double xx) ;
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| 130 |
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| 131 |
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| 132 | } ;
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| 133 |
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| 134 | #include "G4Integrator.icc"
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| 135 |
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| 136 | #endif
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