[819] | 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 | // $Id: G4eIonisationSpectrum.cc,v 1.25 2006/06/29 19:42:04 gunter Exp $ |
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[1007] | 27 | // GEANT4 tag $Name: geant4-09-02 $ |
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[819] | 28 | // |
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| 29 | // ------------------------------------------------------------------- |
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| 30 | // |
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| 31 | // GEANT4 Class file |
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| 32 | // |
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| 33 | // |
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| 34 | // File name: G4eIonisationSpectrum |
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| 35 | // |
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| 36 | // Author: V.Ivanchenko (Vladimir.Ivanchenko@cern.ch) |
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| 37 | // |
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| 38 | // Creation date: 29 September 2001 |
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| 39 | // |
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| 40 | // Modifications: |
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| 41 | // 10.10.2001 MGP Revision to improve code quality and |
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| 42 | // consistency with design |
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| 43 | // 02.11.2001 VI Optimize sampling of energy |
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| 44 | // 29.11.2001 VI New parametrisation |
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| 45 | // 19.04.2002 VI Add protection in case of energy below binding |
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| 46 | // 30.05.2002 VI Update to 24-parameters data |
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| 47 | // 11.07.2002 VI Fix in integration over spectrum |
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| 48 | // |
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| 49 | // ------------------------------------------------------------------- |
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| 50 | // |
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| 51 | |
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| 52 | #include "G4eIonisationSpectrum.hh" |
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| 53 | #include "G4AtomicTransitionManager.hh" |
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| 54 | #include "G4AtomicShell.hh" |
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| 55 | #include "G4DataVector.hh" |
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| 56 | #include "Randomize.hh" |
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| 57 | |
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| 58 | |
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| 59 | G4eIonisationSpectrum::G4eIonisationSpectrum():G4VEnergySpectrum(), |
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| 60 | lowestE(0.1*eV), |
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| 61 | factor(1.3), |
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| 62 | iMax(24), |
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| 63 | verbose(0) |
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| 64 | { |
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| 65 | theParam = new G4eIonisationParameters(); |
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| 66 | } |
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| 67 | |
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| 68 | |
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| 69 | G4eIonisationSpectrum::~G4eIonisationSpectrum() |
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| 70 | { |
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| 71 | delete theParam; |
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| 72 | } |
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| 73 | |
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| 74 | |
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| 75 | G4double G4eIonisationSpectrum::Probability(G4int Z, |
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| 76 | G4double tMin, |
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| 77 | G4double tMax, |
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| 78 | G4double e, |
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| 79 | G4int shell, |
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| 80 | const G4ParticleDefinition* ) const |
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| 81 | { |
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| 82 | // Please comment what Probability does and what are the three |
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| 83 | // functions mentioned below |
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| 84 | // Describe the algorithms used |
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| 85 | |
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| 86 | G4double eMax = MaxEnergyOfSecondaries(e); |
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| 87 | G4double t0 = std::max(tMin, lowestE); |
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| 88 | G4double tm = std::min(tMax, eMax); |
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| 89 | if(t0 >= tm) return 0.0; |
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| 90 | |
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| 91 | G4double bindingEnergy = (G4AtomicTransitionManager::Instance())-> |
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| 92 | Shell(Z, shell)->BindingEnergy(); |
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| 93 | |
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| 94 | if(e <= bindingEnergy) return 0.0; |
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| 95 | |
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| 96 | G4double energy = e + bindingEnergy; |
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| 97 | |
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| 98 | G4double x1 = std::min(0.5,(t0 + bindingEnergy)/energy); |
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| 99 | G4double x2 = std::min(0.5,(tm + bindingEnergy)/energy); |
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| 100 | |
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| 101 | if(verbose > 1 || (Z==4 && e>= 1.0 && e<= 0.0)) { |
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| 102 | G4cout << "G4eIonisationSpectrum::Probability: Z= " << Z |
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| 103 | << "; shell= " << shell |
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| 104 | << "; E(keV)= " << e/keV |
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| 105 | << "; Eb(keV)= " << bindingEnergy/keV |
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| 106 | << "; x1= " << x1 |
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| 107 | << "; x2= " << x2 |
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| 108 | << G4endl; |
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| 109 | |
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| 110 | } |
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| 111 | |
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| 112 | G4DataVector p; |
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| 113 | |
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| 114 | // Access parameters |
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| 115 | for (G4int i=0; i<iMax; i++) |
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| 116 | { |
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| 117 | G4double x = theParam->Parameter(Z, shell, i, e); |
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| 118 | if(i<4) x /= energy; |
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| 119 | p.push_back(x); |
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| 120 | } |
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| 121 | |
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| 122 | if(p[3] > 0.5) p[3] = 0.5; |
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| 123 | |
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| 124 | G4double g = energy/electron_mass_c2 + 1.; |
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| 125 | p.push_back((2.0*g - 1.0)/(g*g)); |
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| 126 | |
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| 127 | p[iMax-1] = Function(p[3], p); |
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| 128 | |
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| 129 | if(e >= 1. && e <= 0. && Z == 4) p.push_back(0.0); |
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| 130 | |
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| 131 | |
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| 132 | G4double val = IntSpectrum(x1, x2, p); |
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| 133 | G4double x0 = (lowestE + bindingEnergy)/energy; |
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| 134 | G4double nor = IntSpectrum(x0, 0.5, p); |
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| 135 | |
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| 136 | if(verbose > 1 || (Z==4 && e>= 1.0 && e<= 0.0)) { |
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| 137 | G4cout << "tcut= " << tMin |
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| 138 | << "; tMax= " << tMax |
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| 139 | << "; x0= " << x0 |
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| 140 | << "; x1= " << x1 |
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| 141 | << "; x2= " << x2 |
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| 142 | << "; val= " << val |
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| 143 | << "; nor= " << nor |
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| 144 | << "; sum= " << p[0] |
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| 145 | << "; a= " << p[1] |
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| 146 | << "; b= " << p[2] |
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| 147 | << "; c= " << p[3] |
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| 148 | << G4endl; |
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| 149 | if(shell == 1) G4cout << "============" << G4endl; |
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| 150 | } |
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| 151 | |
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| 152 | p.clear(); |
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| 153 | |
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| 154 | if(nor > 0.0) val /= nor; |
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| 155 | else val = 0.0; |
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| 156 | |
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| 157 | return val; |
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| 158 | } |
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| 159 | |
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| 160 | |
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| 161 | G4double G4eIonisationSpectrum::AverageEnergy(G4int Z, |
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| 162 | G4double tMin, |
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| 163 | G4double tMax, |
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| 164 | G4double e, |
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| 165 | G4int shell, |
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| 166 | const G4ParticleDefinition* ) const |
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| 167 | { |
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| 168 | // Please comment what AverageEnergy does and what are the three |
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| 169 | // functions mentioned below |
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| 170 | // Describe the algorithms used |
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| 171 | |
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| 172 | G4double eMax = MaxEnergyOfSecondaries(e); |
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| 173 | G4double t0 = std::max(tMin, lowestE); |
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| 174 | G4double tm = std::min(tMax, eMax); |
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| 175 | if(t0 >= tm) return 0.0; |
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| 176 | |
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| 177 | G4double bindingEnergy = (G4AtomicTransitionManager::Instance())-> |
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| 178 | Shell(Z, shell)->BindingEnergy(); |
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| 179 | |
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| 180 | if(e <= bindingEnergy) return 0.0; |
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| 181 | |
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| 182 | G4double energy = e + bindingEnergy; |
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| 183 | |
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| 184 | G4double x1 = std::min(0.5,(t0 + bindingEnergy)/energy); |
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| 185 | G4double x2 = std::min(0.5,(tm + bindingEnergy)/energy); |
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| 186 | |
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| 187 | if(verbose > 1) { |
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| 188 | G4cout << "G4eIonisationSpectrum::AverageEnergy: Z= " << Z |
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| 189 | << "; shell= " << shell |
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| 190 | << "; E(keV)= " << e/keV |
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| 191 | << "; bindingE(keV)= " << bindingEnergy/keV |
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| 192 | << "; x1= " << x1 |
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| 193 | << "; x2= " << x2 |
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| 194 | << G4endl; |
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| 195 | } |
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| 196 | |
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| 197 | G4DataVector p; |
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| 198 | |
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| 199 | // Access parameters |
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| 200 | for (G4int i=0; i<iMax; i++) |
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| 201 | { |
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| 202 | G4double x = theParam->Parameter(Z, shell, i, e); |
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| 203 | if(i<4) x /= energy; |
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| 204 | p.push_back(x); |
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| 205 | } |
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| 206 | |
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| 207 | if(p[3] > 0.5) p[3] = 0.5; |
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| 208 | |
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| 209 | G4double g = energy/electron_mass_c2 + 1.; |
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| 210 | p.push_back((2.0*g - 1.0)/(g*g)); |
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| 211 | |
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| 212 | p[iMax-1] = Function(p[3], p); |
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| 213 | |
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| 214 | G4double val = AverageValue(x1, x2, p); |
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| 215 | G4double x0 = (lowestE + bindingEnergy)/energy; |
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| 216 | G4double nor = IntSpectrum(x0, 0.5, p); |
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| 217 | val *= energy; |
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| 218 | |
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| 219 | if(verbose > 1) { |
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| 220 | G4cout << "tcut(MeV)= " << tMin/MeV |
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| 221 | << "; tMax(MeV)= " << tMax/MeV |
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| 222 | << "; x0= " << x0 |
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| 223 | << "; x1= " << x1 |
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| 224 | << "; x2= " << x2 |
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| 225 | << "; val= " << val |
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| 226 | << "; nor= " << nor |
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| 227 | << "; sum= " << p[0] |
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| 228 | << "; a= " << p[1] |
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| 229 | << "; b= " << p[2] |
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| 230 | << "; c= " << p[3] |
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| 231 | << G4endl; |
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| 232 | } |
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| 233 | |
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| 234 | p.clear(); |
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| 235 | |
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| 236 | if(nor > 0.0) val /= nor; |
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| 237 | else val = 0.0; |
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| 238 | |
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| 239 | return val; |
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| 240 | } |
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| 241 | |
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| 242 | |
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| 243 | G4double G4eIonisationSpectrum::SampleEnergy(G4int Z, |
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| 244 | G4double tMin, |
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| 245 | G4double tMax, |
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| 246 | G4double e, |
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| 247 | G4int shell, |
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| 248 | const G4ParticleDefinition* ) const |
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| 249 | { |
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| 250 | // Please comment what SampleEnergy does |
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| 251 | G4double tDelta = 0.0; |
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| 252 | G4double t0 = std::max(tMin, lowestE); |
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| 253 | G4double tm = std::min(tMax, MaxEnergyOfSecondaries(e)); |
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| 254 | if(t0 > tm) return tDelta; |
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| 255 | |
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| 256 | G4double bindingEnergy = (G4AtomicTransitionManager::Instance())-> |
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| 257 | Shell(Z, shell)->BindingEnergy(); |
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| 258 | |
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| 259 | if(e <= bindingEnergy) return 0.0; |
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| 260 | |
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| 261 | G4double energy = e + bindingEnergy; |
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| 262 | |
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| 263 | G4double x1 = std::min(0.5,(t0 + bindingEnergy)/energy); |
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| 264 | G4double x2 = std::min(0.5,(tm + bindingEnergy)/energy); |
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| 265 | if(x1 >= x2) return tDelta; |
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| 266 | |
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| 267 | if(verbose > 1) { |
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| 268 | G4cout << "G4eIonisationSpectrum::SampleEnergy: Z= " << Z |
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| 269 | << "; shell= " << shell |
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| 270 | << "; E(keV)= " << e/keV |
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| 271 | << G4endl; |
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| 272 | } |
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| 273 | |
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| 274 | // Access parameters |
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| 275 | G4DataVector p; |
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| 276 | |
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| 277 | // Access parameters |
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| 278 | for (G4int i=0; i<iMax; i++) |
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| 279 | { |
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| 280 | G4double x = theParam->Parameter(Z, shell, i, e); |
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| 281 | if(i<4) x /= energy; |
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| 282 | p.push_back(x); |
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| 283 | } |
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| 284 | |
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| 285 | if(p[3] > 0.5) p[3] = 0.5; |
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| 286 | |
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| 287 | G4double g = energy/electron_mass_c2 + 1.; |
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| 288 | p.push_back((2.0*g - 1.0)/(g*g)); |
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| 289 | |
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| 290 | p[iMax-1] = Function(p[3], p); |
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| 291 | |
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| 292 | G4double aria1 = 0.0; |
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| 293 | G4double a1 = std::max(x1,p[1]); |
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| 294 | G4double a2 = std::min(x2,p[3]); |
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| 295 | if(a1 < a2) aria1 = IntSpectrum(a1, a2, p); |
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| 296 | G4double aria2 = 0.0; |
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| 297 | G4double a3 = std::max(x1,p[3]); |
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| 298 | G4double a4 = x2; |
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| 299 | if(a3 < a4) aria2 = IntSpectrum(a3, a4, p); |
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| 300 | |
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| 301 | G4double aria = (aria1 + aria2)*G4UniformRand(); |
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| 302 | G4double amaj, fun, q, x, z1, z2, dx, dx1; |
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| 303 | |
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| 304 | //======= First aria to sample ===== |
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| 305 | |
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| 306 | if(aria <= aria1) { |
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| 307 | |
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| 308 | amaj = p[4]; |
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| 309 | for (G4int j=5; j<iMax; j++) { |
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| 310 | if(p[j] > amaj) amaj = p[j]; |
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| 311 | } |
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| 312 | |
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| 313 | a1 = 1./a1; |
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| 314 | a2 = 1./a2; |
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| 315 | |
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| 316 | G4int i; |
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| 317 | do { |
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| 318 | |
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| 319 | x = 1./(a2 + G4UniformRand()*(a1 - a2)); |
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| 320 | z1 = p[1]; |
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| 321 | z2 = p[3]; |
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| 322 | dx = (p[2] - p[1]) / 3.0; |
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| 323 | dx1= std::exp(std::log(p[3]/p[2]) / 16.0); |
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| 324 | for (i=4; i<iMax-1; i++) { |
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| 325 | |
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| 326 | if (i < 7) { |
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| 327 | z2 = z1 + dx; |
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| 328 | } else if(iMax-2 == i) { |
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| 329 | z2 = p[3]; |
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| 330 | break; |
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| 331 | } else { |
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| 332 | z2 = z1*dx1; |
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| 333 | } |
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| 334 | if(x >= z1 && x <= z2) break; |
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| 335 | z1 = z2; |
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| 336 | } |
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| 337 | fun = p[i] + (x - z1) * (p[i+1] - p[i])/(z2 - z1); |
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| 338 | |
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| 339 | if(fun > amaj) { |
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| 340 | G4cout << "WARNING in G4eIonisationSpectrum::SampleEnergy:" |
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| 341 | << " Majoranta " << amaj |
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| 342 | << " < " << fun |
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| 343 | << " in the first aria at x= " << x |
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| 344 | << G4endl; |
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| 345 | } |
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| 346 | |
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| 347 | q = amaj*G4UniformRand(); |
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| 348 | |
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| 349 | } while (q >= fun); |
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| 350 | |
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| 351 | //======= Second aria to sample ===== |
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| 352 | |
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| 353 | } else { |
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| 354 | |
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| 355 | amaj = std::max(p[iMax-1], Function(0.5, p)) * factor; |
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| 356 | a1 = 1./a3; |
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| 357 | a2 = 1./a4; |
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| 358 | |
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| 359 | do { |
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| 360 | |
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| 361 | x = 1./(a2 + G4UniformRand()*(a1 - a2)); |
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| 362 | fun = Function(x, p); |
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| 363 | |
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| 364 | if(fun > amaj) { |
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| 365 | G4cout << "WARNING in G4eIonisationSpectrum::SampleEnergy:" |
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| 366 | << " Majoranta " << amaj |
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| 367 | << " < " << fun |
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| 368 | << " in the second aria at x= " << x |
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| 369 | << G4endl; |
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| 370 | } |
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| 371 | |
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| 372 | q = amaj*G4UniformRand(); |
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| 373 | |
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| 374 | } while (q >= fun); |
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| 375 | |
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| 376 | } |
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| 377 | |
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| 378 | p.clear(); |
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| 379 | |
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| 380 | tDelta = x*energy - bindingEnergy; |
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| 381 | |
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| 382 | if(verbose > 1) { |
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| 383 | G4cout << "tcut(MeV)= " << tMin/MeV |
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| 384 | << "; tMax(MeV)= " << tMax/MeV |
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| 385 | << "; x1= " << x1 |
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| 386 | << "; x2= " << x2 |
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| 387 | << "; a1= " << a1 |
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| 388 | << "; a2= " << a2 |
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| 389 | << "; x= " << x |
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| 390 | << "; be= " << bindingEnergy |
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| 391 | << "; e= " << e |
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| 392 | << "; tDelta= " << tDelta |
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| 393 | << G4endl; |
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| 394 | } |
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| 395 | |
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| 396 | |
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| 397 | return tDelta; |
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| 398 | } |
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| 399 | |
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| 400 | |
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| 401 | G4double G4eIonisationSpectrum::IntSpectrum(G4double xMin, |
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| 402 | G4double xMax, |
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| 403 | const G4DataVector& p) const |
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| 404 | { |
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| 405 | // Please comment what IntSpectrum does |
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| 406 | G4double sum = 0.0; |
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| 407 | if(xMin >= xMax) return sum; |
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| 408 | |
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| 409 | G4double x1, x2, xs1, xs2, y1, y2, ys1, ys2, q; |
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| 410 | |
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| 411 | // Integral over interpolation aria |
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| 412 | if(xMin < p[3]) { |
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| 413 | |
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| 414 | x1 = p[1]; |
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| 415 | y1 = p[4]; |
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| 416 | |
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| 417 | G4double dx = (p[2] - p[1]) / 3.0; |
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| 418 | G4double dx1= std::exp(std::log(p[3]/p[2]) / 16.0); |
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| 419 | |
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| 420 | for (size_t i=0; i<19; i++) { |
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| 421 | |
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| 422 | q = 0.0; |
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| 423 | if (i < 3) { |
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| 424 | x2 = x1 + dx; |
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| 425 | } else if(18 == i) { |
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| 426 | x2 = p[3]; |
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| 427 | } else { |
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| 428 | x2 = x1*dx1; |
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| 429 | } |
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| 430 | |
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| 431 | y2 = p[5 + i]; |
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| 432 | |
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| 433 | if (xMax <= x1) { |
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| 434 | break; |
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| 435 | } else if (xMin < x2) { |
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| 436 | |
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| 437 | xs1 = x1; |
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| 438 | xs2 = x2; |
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| 439 | ys1 = y1; |
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| 440 | ys2 = y2; |
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| 441 | |
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| 442 | if (x2 > x1) { |
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| 443 | if (xMin > x1) { |
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| 444 | xs1 = xMin; |
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| 445 | ys1 += (xs1 - x1)*(y2 - y1)/(x2 - x1); |
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| 446 | } |
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| 447 | if (xMax < x2) { |
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| 448 | xs2 = xMax; |
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| 449 | ys2 += (xs2 - x2)*(y1 - y2)/(x1 - x2); |
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| 450 | } |
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| 451 | if (xs2 > xs1) { |
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| 452 | q = (ys1*xs2 - ys2*xs1)/(xs1*xs2) |
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| 453 | + std::log(xs2/xs1)*(ys2 - ys1)/(xs2 - xs1); |
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| 454 | sum += q; |
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| 455 | if(p.size() == 26) G4cout << "i= " << i << " q= " << q << " sum= " << sum << G4endl; |
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| 456 | } |
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| 457 | } |
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| 458 | } |
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| 459 | x1 = x2; |
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| 460 | y1 = y2; |
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| 461 | } |
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| 462 | } |
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| 463 | |
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| 464 | // Integral over aria with parametrised formula |
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| 465 | |
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| 466 | x1 = std::max(xMin, p[3]); |
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| 467 | if(x1 >= xMax) return sum; |
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| 468 | x2 = xMax; |
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| 469 | |
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| 470 | xs1 = 1./x1; |
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| 471 | xs2 = 1./x2; |
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| 472 | q = (xs1 - xs2)*(1.0 - p[0]) |
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| 473 | - p[iMax]*std::log(x2/x1) |
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| 474 | + (1. - p[iMax])*(x2 - x1) |
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| 475 | + 1./(1. - x2) - 1./(1. - x1) |
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| 476 | + p[iMax]*std::log((1. - x2)/(1. - x1)) |
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| 477 | + 0.25*p[0]*(xs1*xs1 - xs2*xs2); |
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| 478 | sum += q; |
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| 479 | if(p.size() == 26) G4cout << "param... q= " << q << " sum= " << sum << G4endl; |
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| 480 | |
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| 481 | return sum; |
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| 482 | } |
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| 483 | |
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| 484 | |
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| 485 | G4double G4eIonisationSpectrum::AverageValue(G4double xMin, |
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| 486 | G4double xMax, |
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| 487 | const G4DataVector& p) const |
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| 488 | { |
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| 489 | G4double sum = 0.0; |
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| 490 | if(xMin >= xMax) return sum; |
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| 491 | |
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| 492 | G4double x1, x2, xs1, xs2, y1, y2, ys1, ys2; |
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| 493 | |
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| 494 | // Integral over interpolation aria |
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| 495 | if(xMin < p[3]) { |
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| 496 | |
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| 497 | x1 = p[1]; |
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| 498 | y1 = p[4]; |
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| 499 | |
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| 500 | G4double dx = (p[2] - p[1]) / 3.0; |
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| 501 | G4double dx1= std::exp(std::log(p[3]/p[2]) / 16.0); |
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| 502 | |
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| 503 | for (size_t i=0; i<19; i++) { |
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| 504 | |
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| 505 | if (i < 3) { |
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| 506 | x2 = x1 + dx; |
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| 507 | } else if(18 == i) { |
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| 508 | x2 = p[3]; |
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| 509 | } else { |
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| 510 | x2 = x1*dx1; |
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| 511 | } |
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| 512 | |
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| 513 | y2 = p[5 + i]; |
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| 514 | |
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| 515 | if (xMax <= x1) { |
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| 516 | break; |
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| 517 | } else if (xMin < x2) { |
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| 518 | |
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| 519 | xs1 = x1; |
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| 520 | xs2 = x2; |
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| 521 | ys1 = y1; |
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| 522 | ys2 = y2; |
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| 523 | |
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| 524 | if (x2 > x1) { |
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| 525 | if (xMin > x1) { |
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| 526 | xs1 = xMin; |
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| 527 | ys1 += (xs1 - x1)*(y2 - y1)/(x2 - x1); |
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| 528 | } |
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| 529 | if (xMax < x2) { |
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| 530 | xs2 = xMax; |
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| 531 | ys2 += (xs2 - x2)*(y1 - y2)/(x1 - x2); |
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| 532 | } |
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| 533 | if (xs2 > xs1) { |
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| 534 | sum += std::log(xs2/xs1)*(ys1*xs2 - ys2*xs1)/(xs2 - xs1) |
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| 535 | + ys2 - ys1; |
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| 536 | } |
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| 537 | } |
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| 538 | } |
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| 539 | x1 = x2; |
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| 540 | y1 = y2; |
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| 541 | |
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| 542 | } |
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| 543 | } |
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| 544 | |
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| 545 | // Integral over aria with parametrised formula |
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| 546 | |
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| 547 | x1 = std::max(xMin, p[3]); |
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| 548 | if(x1 >= xMax) return sum; |
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| 549 | x2 = xMax; |
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| 550 | |
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| 551 | xs1 = 1./x1; |
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| 552 | xs2 = 1./x2; |
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| 553 | |
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| 554 | sum += std::log(x2/x1)*(1.0 - p[0]) |
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| 555 | + 0.5*(1. - p[iMax])*(x2*x2 - x1*x1) |
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| 556 | + 1./(1. - x2) - 1./(1. - x1) |
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| 557 | + (1. + p[iMax])*std::log((1. - x2)/(1. - x1)) |
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| 558 | + 0.5*p[0]*(xs1 - xs2); |
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| 559 | |
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| 560 | return sum; |
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| 561 | } |
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| 562 | |
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| 563 | |
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| 564 | void G4eIonisationSpectrum::PrintData() const |
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| 565 | { |
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| 566 | theParam->PrintData(); |
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| 567 | } |
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| 568 | |
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| 569 | G4double G4eIonisationSpectrum::MaxEnergyOfSecondaries(G4double kineticEnergy, |
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| 570 | G4int, // Z = 0, |
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| 571 | const G4ParticleDefinition* ) const |
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| 572 | { |
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| 573 | return 0.5 * kineticEnergy; |
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| 574 | } |
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