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: HEAD $ |
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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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