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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28 | // GEANT4 tag $Name: geant4-09-03 $ |
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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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