| 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: G4SimpleIntegration.hh,v 1.6 2006/06/29 18:59:56 gunter Exp $ |
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| 28 | // GEANT4 tag $Name: geant4-09-04-beta-01 $ |
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| 29 | // |
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| 30 | // Class description: |
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| 31 | // |
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| 32 | // Class for realisation of simple numerical methodes for integration of |
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| 33 | // functions with signature: double f(double). The methods based mainly on |
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| 34 | // algorithms given in the book : |
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| 35 | // An introduction to NUMERICAL METHODS IN C++, |
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| 36 | // B.H. Flowers, Claredon Press, Oxford, 1995. |
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| 37 | // |
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| 38 | // --------------------------- Member data ---------------------------- |
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| 39 | // |
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| 40 | // fFunction - pointer to the function to be integrated |
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| 41 | // fTolerance - accuracy of integration in Adaptive Gauss method |
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| 42 | // fMaxDepth = 100 - constant maximum iteration depth for |
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| 43 | // Adaptive Gauss method |
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| 44 | // |
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| 45 | // --------------------------- Methods -------------------------------- |
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| 46 | // |
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| 47 | // Trapezoidal, MidPoint, Gauss and Simpson(double a,double b,int n) |
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| 48 | // - integrate function pointed by fFunction from a to b by n iterations, |
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| 49 | // i.e. with Step (b-a)/n according to the correspondent method. |
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| 50 | // |
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| 51 | // AdaptGausIntegration(double a, double b) |
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| 52 | // - integrate function from a to be with accuracy <= fTolerance |
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| 53 | |
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| 54 | // ----------------------------- History ------------------------------ |
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| 55 | // |
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| 56 | // 26.03.97 V.Grichine ( Vladimir.Grichine@cern.ch ) |
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| 57 | |
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| 58 | #ifndef G4SIMPLEINTEGRATION_HH |
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| 59 | #define G4SIMPLEINTEGRATION_HH |
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| 60 | |
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| 61 | #include "G4Types.hh" |
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| 62 | |
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| 63 | typedef G4double (*function)(G4double) ; |
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| 64 | |
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| 65 | class G4SimpleIntegration |
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| 66 | { |
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| 67 | public: |
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| 68 | |
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| 69 | explicit G4SimpleIntegration( function pFunction ) ; |
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| 70 | |
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| 71 | G4SimpleIntegration( function pFunction, |
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| 72 | G4double pTolerance ) ; |
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| 73 | |
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| 74 | ~G4SimpleIntegration() ; |
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| 75 | |
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| 76 | // Simple integration methods |
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| 77 | |
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| 78 | G4double Trapezoidal(G4double xInitial, |
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| 79 | G4double xFinal, |
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| 80 | G4int iterationNumber ) ; |
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| 81 | |
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| 82 | G4double MidPoint(G4double xInitial, |
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| 83 | G4double xFinal, |
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| 84 | G4int iterationNumber ) ; |
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| 85 | |
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| 86 | G4double Gauss(G4double xInitial, |
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| 87 | G4double xFinal, |
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| 88 | G4int iterationNumber ) ; |
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| 89 | |
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| 90 | G4double Simpson(G4double xInitial, |
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| 91 | G4double xFinal, |
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| 92 | G4int iterationNumber ) ; |
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| 93 | |
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| 94 | // Adaptive Gauss integration with accuracy ~ fTolerance |
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| 95 | |
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| 96 | G4double AdaptGaussIntegration( G4double xInitial, |
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| 97 | G4double xFinal ) ; |
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| 98 | |
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| 99 | protected: |
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| 100 | |
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| 101 | G4double Gauss( G4double xInitial, |
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| 102 | G4double xFinal ) ; |
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| 103 | |
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| 104 | void AdaptGauss( G4double xInitial, |
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| 105 | G4double xFinal, |
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| 106 | G4double& sum, |
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| 107 | G4int& depth ) ; |
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| 108 | private: |
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| 109 | |
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| 110 | G4SimpleIntegration(const G4SimpleIntegration&); |
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| 111 | G4SimpleIntegration& operator=(const G4SimpleIntegration&); |
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| 112 | // Private copy constructor and assignment operator. |
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| 113 | |
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| 114 | private: |
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| 115 | |
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| 116 | function fFunction ; |
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| 117 | G4double fTolerance ; |
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| 118 | static G4int fMaxDepth ; |
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| 119 | }; |
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| 120 | |
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| 121 | #endif |
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