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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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: G4GaussLegendreQ.hh,v 1.6 2006/06/29 18:59:42 gunter Exp $ |
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28 | // GEANT4 tag $Name: geant4-09-02-ref-02 $ |
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29 | // |
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30 | // Class description: |
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31 | // |
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32 | // Class for Gauss-Legendre integration method |
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33 | // Roots of ortogonal polynoms and corresponding weights are calculated based on |
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34 | // iteration method (by bisection Newton algorithm). Constant values for initial |
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35 | // approximations were derived from the book: M. Abramowitz, I. Stegun, Handbook |
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36 | // of mathematical functions, DOVER Publications INC, New York 1965 ; chapters 9, |
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37 | // 10, and 22 . |
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38 | // |
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39 | // ------------------------- CONSTRUCTORS: ------------------------------- |
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40 | // |
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41 | // Constructor for GaussLegendre quadrature method. The value nLegendre set the |
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42 | // accuracy required, i.e the number of points where the function pFunction will |
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43 | // be evaluated during integration. The constructor creates the arrays for |
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44 | // abscissas and weights that used in Gauss-Legendre quadrature method. |
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45 | // The values a and b are the limits of integration of the pFunction. |
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46 | // |
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47 | // G4GaussLegendreQ( function pFunction, |
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48 | // G4int nLegendre ) |
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49 | // |
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50 | // -------------------------- METHODS: --------------------------------------- |
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51 | // |
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52 | // Returns the integral of the function to be pointed by fFunction between a and b, |
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53 | // by 2*fNumber point Gauss-Legendre integration: the function is evaluated exactly |
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54 | // 2*fNumber Times at interior points in the range of integration. Since the weights |
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55 | // and abscissas are, in this case, symmetric around the midpoint of the range of |
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56 | // integration, there are actually only fNumber distinct values of each. |
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57 | // |
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58 | // G4double Integral(G4double a, G4double b) const |
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59 | // |
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60 | // ----------------------------------------------------------------------- |
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61 | // |
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62 | // Returns the integral of the function to be pointed by fFunction between a and b, |
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63 | // by ten point Gauss-Legendre integration: the function is evaluated exactly |
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64 | // ten Times at interior points in the range of integration. Since the weights |
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65 | // and abscissas are, in this case, symmetric around the midpoint of the range of |
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66 | // integration, there are actually only five distinct values of each |
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67 | // |
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68 | // G4double |
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69 | // QuickIntegral(G4double a, G4double b) const |
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70 | // |
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71 | // --------------------------------------------------------------------- |
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72 | // |
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73 | // Returns the integral of the function to be pointed by fFunction between a and b, |
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74 | // by 96 point Gauss-Legendre integration: the function is evaluated exactly |
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75 | // ten Times at interior points in the range of integration. Since the weights |
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76 | // and abscissas are, in this case, symmetric around the midpoint of the range of |
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77 | // integration, there are actually only five distinct values of each |
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78 | // |
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79 | // G4double |
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80 | // AccurateIntegral(G4double a, G4double b) const |
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81 | |
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82 | // ------------------------------- HISTORY -------------------------------- |
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83 | // |
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84 | // 13.05.97 V.Grichine (Vladimir.Grichine@cern.chz0 |
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85 | |
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86 | #ifndef G4GAUSSLEGENDREQ_HH |
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87 | #define G4GAUSSLEGENDREQ_HH |
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88 | |
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89 | #include "G4VGaussianQuadrature.hh" |
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90 | |
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91 | class G4GaussLegendreQ : public G4VGaussianQuadrature |
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92 | { |
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93 | public: |
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94 | explicit G4GaussLegendreQ( function pFunction ) ; |
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95 | |
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96 | |
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97 | G4GaussLegendreQ( function pFunction, |
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98 | G4int nLegendre ) ; |
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99 | |
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100 | // Methods |
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101 | |
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102 | G4double Integral(G4double a, G4double b) const ; |
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103 | |
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104 | G4double QuickIntegral(G4double a, G4double b) const ; |
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105 | |
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106 | G4double AccurateIntegral(G4double a, G4double b) const ; |
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107 | |
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108 | private: |
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109 | |
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110 | G4GaussLegendreQ(const G4GaussLegendreQ&); |
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111 | G4GaussLegendreQ& operator=(const G4GaussLegendreQ&); |
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112 | }; |
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113 | |
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114 | #endif |
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