1 | // |
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2 | // ******************************************************************** |
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3 | // * License and Disclaimer * |
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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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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: G4NuclNuclDiffuseElastic.hh,v 1.8 2009/04/10 13:22:25 grichine Exp $ |
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28 | // GEANT4 tag $Name: geant4-09-03 $ |
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29 | // |
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30 | // |
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31 | // G4 Model: optical elastic scattering with 4-momentum balance |
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32 | // |
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33 | // Class Description |
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34 | // Final state production model for nucleus-nucleus elastic scattering; |
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35 | // Coulomb amplitude is not considered as correction |
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36 | // (as in G4DiffuseElastic) |
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37 | // Class Description - End |
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38 | // |
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39 | // |
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40 | // 17.03.09 V. Grichine implementation for Coulomb elastic scattering |
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41 | |
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42 | |
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43 | #ifndef G4NuclNuclDiffuseElastic_h |
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44 | #define G4NuclNuclDiffuseElastic_h 1 |
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45 | |
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46 | #include "globals.hh" |
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47 | #include <complex> |
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48 | #include "G4Integrator.hh" |
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49 | |
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50 | #include "G4HadronicInteraction.hh" |
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51 | #include "G4HadProjectile.hh" |
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52 | #include "G4Nucleus.hh" |
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53 | |
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54 | using namespace std; |
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55 | |
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56 | class G4ParticleDefinition; |
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57 | class G4PhysicsTable; |
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58 | class G4PhysicsLogVector; |
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59 | |
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60 | class G4NuclNuclDiffuseElastic : public G4HadronicInteraction |
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61 | { |
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62 | public: |
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63 | |
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64 | G4NuclNuclDiffuseElastic(); |
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65 | |
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66 | G4NuclNuclDiffuseElastic(const G4ParticleDefinition* aParticle); |
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67 | |
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68 | |
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69 | |
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70 | |
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71 | |
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72 | virtual ~G4NuclNuclDiffuseElastic(); |
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73 | |
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74 | void Initialise(); |
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75 | |
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76 | void InitialiseOnFly(G4double Z, G4double A); |
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77 | |
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78 | void BuildAngleTable(); |
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79 | |
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80 | |
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81 | G4HadFinalState * ApplyYourself(const G4HadProjectile & aTrack, |
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82 | G4Nucleus & targetNucleus); |
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83 | |
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84 | |
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85 | void SetPlabLowLimit(G4double value); |
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86 | |
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87 | void SetHEModelLowLimit(G4double value); |
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88 | |
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89 | void SetQModelLowLimit(G4double value); |
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90 | |
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91 | void SetLowestEnergyLimit(G4double value); |
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92 | |
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93 | void SetRecoilKinEnergyLimit(G4double value); |
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94 | |
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95 | G4double SampleT(const G4ParticleDefinition* aParticle, |
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96 | G4double p, G4double A); |
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97 | |
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98 | G4double SampleTableT(const G4ParticleDefinition* aParticle, |
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99 | G4double p, G4double Z, G4double A); |
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100 | |
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101 | G4double SampleThetaCMS(const G4ParticleDefinition* aParticle, G4double p, G4double A); |
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102 | |
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103 | G4double SampleTableThetaCMS(const G4ParticleDefinition* aParticle, G4double p, |
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104 | G4double Z, G4double A); |
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105 | |
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106 | G4double GetScatteringAngle(G4int iMomentum, G4int iAngle, G4double position); |
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107 | |
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108 | G4double SampleThetaLab(const G4HadProjectile* aParticle, |
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109 | G4double tmass, G4double A); |
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110 | |
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111 | G4double GetDiffuseElasticXsc( const G4ParticleDefinition* particle, |
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112 | G4double theta, |
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113 | G4double momentum, |
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114 | G4double A ); |
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115 | |
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116 | G4double GetInvElasticXsc( const G4ParticleDefinition* particle, |
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117 | G4double theta, |
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118 | G4double momentum, |
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119 | G4double A, G4double Z ); |
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120 | |
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121 | G4double GetDiffuseElasticSumXsc( const G4ParticleDefinition* particle, |
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122 | G4double theta, |
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123 | G4double momentum, |
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124 | G4double A, G4double Z ); |
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125 | |
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126 | G4double GetInvElasticSumXsc( const G4ParticleDefinition* particle, |
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127 | G4double tMand, |
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128 | G4double momentum, |
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129 | G4double A, G4double Z ); |
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130 | |
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131 | G4double IntegralElasticProb( const G4ParticleDefinition* particle, |
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132 | G4double theta, |
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133 | G4double momentum, |
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134 | G4double A ); |
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135 | |
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136 | |
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137 | G4double GetCoulombElasticXsc( const G4ParticleDefinition* particle, |
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138 | G4double theta, |
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139 | G4double momentum, |
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140 | G4double Z ); |
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141 | |
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142 | G4double GetInvCoulombElasticXsc( const G4ParticleDefinition* particle, |
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143 | G4double tMand, |
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144 | G4double momentum, |
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145 | G4double A, G4double Z ); |
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146 | |
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147 | G4double GetCoulombTotalXsc( const G4ParticleDefinition* particle, |
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148 | G4double momentum, G4double Z ); |
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149 | |
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150 | G4double GetCoulombIntegralXsc( const G4ParticleDefinition* particle, |
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151 | G4double momentum, G4double Z, |
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152 | G4double theta1, G4double theta2 ); |
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153 | |
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154 | |
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155 | G4double CalculateParticleBeta( const G4ParticleDefinition* particle, |
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156 | G4double momentum ); |
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157 | |
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158 | G4double CalculateZommerfeld( G4double beta, G4double Z1, G4double Z2 ); |
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159 | |
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160 | G4double CalculateAm( G4double momentum, G4double n, G4double Z); |
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161 | |
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162 | G4double CalculateNuclearRad( G4double A); |
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163 | |
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164 | G4double ThetaCMStoThetaLab(const G4DynamicParticle* aParticle, |
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165 | G4double tmass, G4double thetaCMS); |
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166 | |
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167 | G4double ThetaLabToThetaCMS(const G4DynamicParticle* aParticle, |
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168 | G4double tmass, G4double thetaLab); |
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169 | |
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170 | void TestAngleTable(const G4ParticleDefinition* theParticle, G4double partMom, |
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171 | G4double Z, G4double A); |
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172 | |
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173 | |
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174 | |
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175 | G4double BesselJzero(G4double z); |
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176 | G4double BesselJone(G4double z); |
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177 | G4double DampFactor(G4double z); |
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178 | G4double BesselOneByArg(G4double z); |
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179 | |
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180 | G4double GetDiffElasticProb(G4double theta); |
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181 | G4double GetDiffElasticSumProb(G4double theta); |
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182 | G4double GetDiffElasticSumProbA(G4double alpha); |
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183 | G4double GetIntegrandFunction(G4double theta); |
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184 | |
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185 | G4double GetNuclearRadius(){return fNuclearRadius;}; |
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186 | |
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187 | |
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188 | // Technical math functions for strong Coulomb contribution |
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189 | |
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190 | G4complex GammaLogarithm(G4complex xx); |
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191 | |
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192 | G4double GetErf(G4double x); |
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193 | |
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194 | G4complex GetErfcComp(G4complex z, G4int nMax); |
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195 | G4complex GetErfcSer(G4complex z, G4int nMax); |
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196 | G4complex GetErfcInt(G4complex z); // , G4int nMax); |
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197 | |
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198 | G4complex GetErfComp(G4complex z, G4int nMax); // AandS algorithm != Ser, Int |
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199 | G4complex GetErfSer(G4complex z, G4int nMax); |
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200 | |
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201 | G4double GetExpCos(G4double x); |
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202 | G4double GetExpSin(G4double x); |
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203 | G4complex GetErfInt(G4complex z); // , G4int nMax); |
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204 | |
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205 | |
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206 | G4complex TestErfcComp(G4complex z, G4int nMax); |
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207 | G4complex TestErfcSer(G4complex z, G4int nMax); |
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208 | G4complex TestErfcInt(G4complex z); // , G4int nMax); |
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209 | |
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210 | G4complex CoulombAmplitude(G4double theta); |
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211 | void CalculateCoulombPhaseZero(); |
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212 | void CalculateRutherfordAnglePar(); |
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213 | |
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214 | G4double ProfileNear(G4double theta); |
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215 | G4double ProfileFar(G4double theta); |
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216 | |
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217 | G4complex PhaseNear(G4double theta); |
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218 | G4complex PhaseFar(G4double theta); |
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219 | |
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220 | G4complex GammaLess(G4double theta); |
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221 | G4complex GammaMore(G4double theta); |
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222 | |
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223 | G4complex AmplitudeNear(G4double theta); |
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224 | G4complex AmplitudeFar(G4double theta); |
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225 | G4complex Amplitude(G4double theta); |
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226 | G4double AmplitudeMod2(G4double theta); |
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227 | void InitParameters(const G4ParticleDefinition* theParticle, |
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228 | G4double partMom, G4double Z, G4double A); |
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229 | |
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230 | G4double GetProfileLambda(){return fProfileLambda;}; |
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231 | |
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232 | void SetProfileLambda(G4double pl) {fProfileLambda = pl;}; |
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233 | void SetProfileDelta(G4double pd) {fProfileDelta = pd;}; |
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234 | void SetProfileAlpha(G4double pa){fProfileAlpha = pa;}; |
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235 | |
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236 | private: |
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237 | |
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238 | |
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239 | G4ParticleDefinition* theProton; |
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240 | G4ParticleDefinition* theNeutron; |
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241 | G4ParticleDefinition* theDeuteron; |
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242 | G4ParticleDefinition* theAlpha; |
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243 | |
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244 | const G4ParticleDefinition* thePionPlus; |
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245 | const G4ParticleDefinition* thePionMinus; |
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246 | |
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247 | G4double lowEnergyRecoilLimit; |
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248 | G4double lowEnergyLimitHE; |
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249 | G4double lowEnergyLimitQ; |
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250 | G4double lowestEnergyLimit; |
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251 | G4double plabLowLimit; |
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252 | |
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253 | G4int fEnergyBin; |
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254 | G4int fAngleBin; |
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255 | |
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256 | G4PhysicsLogVector* fEnergyVector; |
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257 | G4PhysicsTable* fAngleTable; |
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258 | std::vector<G4PhysicsTable*> fAngleBank; |
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259 | |
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260 | std::vector<G4double> fElementNumberVector; |
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261 | std::vector<G4String> fElementNameVector; |
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262 | |
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263 | const G4ParticleDefinition* fParticle; |
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264 | G4double fWaveVector; |
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265 | G4double fAtomicWeight; |
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266 | G4double fAtomicNumber; |
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267 | |
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268 | G4double fNuclearRadius1; |
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269 | G4double fNuclearRadius2; |
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270 | G4double fNuclearRadius; |
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271 | |
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272 | G4double fBeta; |
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273 | G4double fZommerfeld; |
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274 | G4double fAm; |
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275 | G4bool fAddCoulomb; |
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276 | |
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277 | G4double fCoulombPhase0; |
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278 | G4double fHalfRutThetaTg; |
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279 | G4double fRutherfordTheta; |
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280 | |
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281 | G4double fProfileLambda; |
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282 | G4double fProfileDelta; |
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283 | G4double fProfileAlpha; |
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284 | |
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285 | G4double fReZ; |
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286 | |
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287 | }; |
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288 | |
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289 | |
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290 | inline void G4NuclNuclDiffuseElastic::SetRecoilKinEnergyLimit(G4double value) |
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291 | { |
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292 | lowEnergyRecoilLimit = value; |
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293 | } |
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294 | |
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295 | inline void G4NuclNuclDiffuseElastic::SetPlabLowLimit(G4double value) |
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296 | { |
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297 | plabLowLimit = value; |
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298 | } |
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299 | |
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300 | inline void G4NuclNuclDiffuseElastic::SetHEModelLowLimit(G4double value) |
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301 | { |
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302 | lowEnergyLimitHE = value; |
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303 | } |
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304 | |
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305 | inline void G4NuclNuclDiffuseElastic::SetQModelLowLimit(G4double value) |
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306 | { |
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307 | lowEnergyLimitQ = value; |
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308 | } |
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309 | |
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310 | inline void G4NuclNuclDiffuseElastic::SetLowestEnergyLimit(G4double value) |
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311 | { |
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312 | lowestEnergyLimit = value; |
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313 | } |
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314 | |
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315 | |
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316 | ///////////////////////////////////////////////////////////// |
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317 | // |
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318 | // Bessel J0 function based on rational approximation from |
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319 | // J.F. Hart, Computer Approximations, New York, Willey 1968, p. 141 |
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320 | |
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321 | inline G4double G4NuclNuclDiffuseElastic::BesselJzero(G4double value) |
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322 | { |
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323 | G4double modvalue, value2, fact1, fact2, arg, shift, bessel; |
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324 | |
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325 | modvalue = fabs(value); |
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326 | |
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327 | if ( value < 8.0 && value > -8.0 ) |
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328 | { |
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329 | value2 = value*value; |
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330 | |
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331 | fact1 = 57568490574.0 + value2*(-13362590354.0 |
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332 | + value2*( 651619640.7 |
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333 | + value2*(-11214424.18 |
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334 | + value2*( 77392.33017 |
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335 | + value2*(-184.9052456 ) ) ) ) ); |
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336 | |
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337 | fact2 = 57568490411.0 + value2*( 1029532985.0 |
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338 | + value2*( 9494680.718 |
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339 | + value2*(59272.64853 |
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340 | + value2*(267.8532712 |
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341 | + value2*1.0 ) ) ) ); |
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342 | |
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343 | bessel = fact1/fact2; |
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344 | } |
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345 | else |
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346 | { |
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347 | arg = 8.0/modvalue; |
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348 | |
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349 | value2 = arg*arg; |
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350 | |
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351 | shift = modvalue-0.785398164; |
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352 | |
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353 | fact1 = 1.0 + value2*(-0.1098628627e-2 |
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354 | + value2*(0.2734510407e-4 |
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355 | + value2*(-0.2073370639e-5 |
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356 | + value2*0.2093887211e-6 ) ) ); |
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357 | |
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358 | fact2 = -0.1562499995e-1 + value2*(0.1430488765e-3 |
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359 | + value2*(-0.6911147651e-5 |
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360 | + value2*(0.7621095161e-6 |
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361 | - value2*0.934945152e-7 ) ) ); |
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362 | |
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363 | bessel = sqrt(0.636619772/modvalue)*(cos(shift)*fact1 - arg*sin(shift)*fact2 ); |
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364 | } |
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365 | return bessel; |
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366 | } |
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367 | |
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368 | ///////////////////////////////////////////////////////////// |
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369 | // |
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370 | // Bessel J1 function based on rational approximation from |
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371 | // J.F. Hart, Computer Approximations, New York, Willey 1968, p. 141 |
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372 | |
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373 | inline G4double G4NuclNuclDiffuseElastic::BesselJone(G4double value) |
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374 | { |
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375 | G4double modvalue, value2, fact1, fact2, arg, shift, bessel; |
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376 | |
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377 | modvalue = fabs(value); |
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378 | |
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379 | if ( modvalue < 8.0 ) |
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380 | { |
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381 | value2 = value*value; |
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382 | |
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383 | fact1 = value*(72362614232.0 + value2*(-7895059235.0 |
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384 | + value2*( 242396853.1 |
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385 | + value2*(-2972611.439 |
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386 | + value2*( 15704.48260 |
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387 | + value2*(-30.16036606 ) ) ) ) ) ); |
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388 | |
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389 | fact2 = 144725228442.0 + value2*(2300535178.0 |
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390 | + value2*(18583304.74 |
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391 | + value2*(99447.43394 |
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392 | + value2*(376.9991397 |
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393 | + value2*1.0 ) ) ) ); |
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394 | bessel = fact1/fact2; |
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395 | } |
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396 | else |
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397 | { |
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398 | arg = 8.0/modvalue; |
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399 | |
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400 | value2 = arg*arg; |
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401 | |
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402 | shift = modvalue - 2.356194491; |
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403 | |
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404 | fact1 = 1.0 + value2*( 0.183105e-2 |
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405 | + value2*(-0.3516396496e-4 |
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406 | + value2*(0.2457520174e-5 |
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407 | + value2*(-0.240337019e-6 ) ) ) ); |
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408 | |
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409 | fact2 = 0.04687499995 + value2*(-0.2002690873e-3 |
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410 | + value2*( 0.8449199096e-5 |
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411 | + value2*(-0.88228987e-6 |
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412 | + value2*0.105787412e-6 ) ) ); |
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413 | |
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414 | bessel = sqrt( 0.636619772/modvalue)*(cos(shift)*fact1 - arg*sin(shift)*fact2); |
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415 | |
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416 | if (value < 0.0) bessel = -bessel; |
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417 | } |
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418 | return bessel; |
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419 | } |
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420 | |
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421 | //////////////////////////////////////////////////////////////////// |
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422 | // |
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423 | // damp factor in diffraction x/sh(x), x was already *pi |
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424 | |
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425 | inline G4double G4NuclNuclDiffuseElastic::DampFactor(G4double x) |
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426 | { |
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427 | G4double df; |
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428 | G4double f2 = 2., f3 = 6., f4 = 24.; // first factorials |
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429 | |
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430 | // x *= pi; |
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431 | |
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432 | if( std::fabs(x) < 0.01 ) |
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433 | { |
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434 | df = 1./(1. + x/f2 + x*x/f3 + x*x*x/f4); |
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435 | } |
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436 | else |
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437 | { |
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438 | df = x/std::sinh(x); |
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439 | } |
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440 | return df; |
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441 | } |
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442 | |
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443 | |
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444 | //////////////////////////////////////////////////////////////////// |
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445 | // |
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446 | // return J1(x)/x with special case for small x |
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447 | |
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448 | inline G4double G4NuclNuclDiffuseElastic::BesselOneByArg(G4double x) |
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449 | { |
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450 | G4double x2, result; |
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451 | |
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452 | if( std::fabs(x) < 0.01 ) |
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453 | { |
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454 | x *= 0.5; |
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455 | x2 = x*x; |
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456 | result = 2. - x2 + x2*x2/6.; |
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457 | } |
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458 | else |
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459 | { |
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460 | result = BesselJone(x)/x; |
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461 | } |
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462 | return result; |
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463 | } |
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464 | |
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465 | //////////////////////////////////////////////////////////////////// |
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466 | // |
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467 | // return particle beta |
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468 | |
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469 | inline G4double G4NuclNuclDiffuseElastic::CalculateParticleBeta( const G4ParticleDefinition* particle, |
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470 | G4double momentum ) |
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471 | { |
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472 | G4double mass = particle->GetPDGMass(); |
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473 | G4double a = momentum/mass; |
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474 | fBeta = a/std::sqrt(1+a*a); |
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475 | |
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476 | return fBeta; |
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477 | } |
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478 | |
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479 | //////////////////////////////////////////////////////////////////// |
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480 | // |
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481 | // return Zommerfeld parameter for Coulomb scattering |
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482 | |
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483 | inline G4double G4NuclNuclDiffuseElastic::CalculateZommerfeld( G4double beta, G4double Z1, G4double Z2 ) |
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484 | { |
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485 | fZommerfeld = fine_structure_const*Z1*Z2/beta; |
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486 | |
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487 | return fZommerfeld; |
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488 | } |
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489 | |
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490 | //////////////////////////////////////////////////////////////////// |
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491 | // |
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492 | // return Wentzel correction for Coulomb scattering |
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493 | |
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494 | inline G4double G4NuclNuclDiffuseElastic::CalculateAm( G4double momentum, G4double n, G4double Z) |
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495 | { |
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496 | G4double k = momentum/hbarc; |
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497 | G4double ch = 1.13 + 3.76*n*n; |
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498 | G4double zn = 1.77*k*std::pow(Z,-1./3.)*Bohr_radius; |
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499 | G4double zn2 = zn*zn; |
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500 | fAm = ch/zn2; |
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501 | |
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502 | return fAm; |
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503 | } |
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504 | |
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505 | //////////////////////////////////////////////////////////////////// |
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506 | // |
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507 | // calculate nuclear radius for different atomic weights using different approximations |
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508 | |
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509 | inline G4double G4NuclNuclDiffuseElastic::CalculateNuclearRad( G4double A) |
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510 | { |
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511 | G4double r0, radius; |
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512 | |
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513 | if( A < 50. ) |
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514 | { |
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515 | if( A > 10. ) r0 = 1.16*( 1 - std::pow(A, -2./3.) )*fermi; // 1.08*fermi; |
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516 | else r0 = 1.1*fermi; |
---|
517 | |
---|
518 | radius = r0*std::pow(A, 1./3.); |
---|
519 | } |
---|
520 | else |
---|
521 | { |
---|
522 | r0 = 1.7*fermi; // 1.7*fermi; |
---|
523 | |
---|
524 | radius = r0*std::pow(A, 0.27); // 0.27); |
---|
525 | } |
---|
526 | return radius; |
---|
527 | } |
---|
528 | |
---|
529 | //////////////////////////////////////////////////////////////////// |
---|
530 | // |
---|
531 | // return Coulomb scattering differential xsc with Wentzel correction |
---|
532 | |
---|
533 | inline G4double G4NuclNuclDiffuseElastic::GetCoulombElasticXsc( const G4ParticleDefinition* particle, |
---|
534 | G4double theta, |
---|
535 | G4double momentum, |
---|
536 | G4double Z ) |
---|
537 | { |
---|
538 | G4double sinHalfTheta = std::sin(0.5*theta); |
---|
539 | G4double sinHalfTheta2 = sinHalfTheta*sinHalfTheta; |
---|
540 | G4double beta = CalculateParticleBeta( particle, momentum); |
---|
541 | G4double z = particle->GetPDGCharge(); |
---|
542 | G4double n = CalculateZommerfeld( beta, z, Z ); |
---|
543 | G4double am = CalculateAm( momentum, n, Z); |
---|
544 | G4double k = momentum/hbarc; |
---|
545 | G4double ch = 0.5*n/k; |
---|
546 | G4double ch2 = ch*ch; |
---|
547 | G4double xsc = ch2/(sinHalfTheta2+am)/(sinHalfTheta2+am); |
---|
548 | |
---|
549 | return xsc; |
---|
550 | } |
---|
551 | |
---|
552 | |
---|
553 | //////////////////////////////////////////////////////////////////// |
---|
554 | // |
---|
555 | // return Coulomb scattering total xsc with Wentzel correction |
---|
556 | |
---|
557 | inline G4double G4NuclNuclDiffuseElastic::GetCoulombTotalXsc( const G4ParticleDefinition* particle, |
---|
558 | G4double momentum, G4double Z ) |
---|
559 | { |
---|
560 | G4double beta = CalculateParticleBeta( particle, momentum); |
---|
561 | G4cout<<"beta = "<<beta<<G4endl; |
---|
562 | G4double z = particle->GetPDGCharge(); |
---|
563 | G4double n = CalculateZommerfeld( beta, z, Z ); |
---|
564 | G4cout<<"fZomerfeld = "<<n<<G4endl; |
---|
565 | G4double am = CalculateAm( momentum, n, Z); |
---|
566 | G4cout<<"cof Am = "<<am<<G4endl; |
---|
567 | G4double k = momentum/hbarc; |
---|
568 | G4cout<<"k = "<<k*fermi<<" 1/fermi"<<G4endl; |
---|
569 | G4cout<<"k*Bohr_radius = "<<k*Bohr_radius<<G4endl; |
---|
570 | G4double ch = n/k; |
---|
571 | G4double ch2 = ch*ch; |
---|
572 | G4double xsc = ch2*pi/(am +am*am); |
---|
573 | |
---|
574 | return xsc; |
---|
575 | } |
---|
576 | |
---|
577 | //////////////////////////////////////////////////////////////////// |
---|
578 | // |
---|
579 | // return Coulomb scattering xsc with Wentzel correction integrated between |
---|
580 | // theta1 and < theta2 |
---|
581 | |
---|
582 | inline G4double G4NuclNuclDiffuseElastic::GetCoulombIntegralXsc( const G4ParticleDefinition* particle, |
---|
583 | G4double momentum, G4double Z, |
---|
584 | G4double theta1, G4double theta2 ) |
---|
585 | { |
---|
586 | G4double c1 = std::cos(theta1); |
---|
587 | G4cout<<"c1 = "<<c1<<G4endl; |
---|
588 | G4double c2 = std::cos(theta2); |
---|
589 | G4cout<<"c2 = "<<c2<<G4endl; |
---|
590 | G4double beta = CalculateParticleBeta( particle, momentum); |
---|
591 | // G4cout<<"beta = "<<beta<<G4endl; |
---|
592 | G4double z = particle->GetPDGCharge(); |
---|
593 | G4double n = CalculateZommerfeld( beta, z, Z ); |
---|
594 | // G4cout<<"fZomerfeld = "<<n<<G4endl; |
---|
595 | G4double am = CalculateAm( momentum, n, Z); |
---|
596 | // G4cout<<"cof Am = "<<am<<G4endl; |
---|
597 | G4double k = momentum/hbarc; |
---|
598 | // G4cout<<"k = "<<k*fermi<<" 1/fermi"<<G4endl; |
---|
599 | // G4cout<<"k*Bohr_radius = "<<k*Bohr_radius<<G4endl; |
---|
600 | G4double ch = n/k; |
---|
601 | G4double ch2 = ch*ch; |
---|
602 | am *= 2.; |
---|
603 | G4double xsc = ch2*twopi*(c1-c2); |
---|
604 | xsc /= (1 - c1 + am)*(1 - c2 + am); |
---|
605 | |
---|
606 | return xsc; |
---|
607 | } |
---|
608 | |
---|
609 | /////////////////////////////////////////////////////////////////// |
---|
610 | // |
---|
611 | // For the calculation of arg Gamma(z) one needs complex extension |
---|
612 | // of ln(Gamma(z)) |
---|
613 | |
---|
614 | inline G4complex G4NuclNuclDiffuseElastic::GammaLogarithm(G4complex zz) |
---|
615 | { |
---|
616 | static G4double cof[6] = { 76.18009172947146, -86.50532032941677, |
---|
617 | 24.01409824083091, -1.231739572450155, |
---|
618 | 0.1208650973866179e-2, -0.5395239384953e-5 } ; |
---|
619 | register G4int j; |
---|
620 | G4complex z = zz - 1.0; |
---|
621 | G4complex tmp = z + 5.5; |
---|
622 | tmp -= (z + 0.5) * std::log(tmp); |
---|
623 | G4complex ser = G4complex(1.000000000190015,0.); |
---|
624 | |
---|
625 | for ( j = 0; j <= 5; j++ ) |
---|
626 | { |
---|
627 | z += 1.0; |
---|
628 | ser += cof[j]/z; |
---|
629 | } |
---|
630 | return -tmp + std::log(2.5066282746310005*ser); |
---|
631 | } |
---|
632 | |
---|
633 | ///////////////////////////////////////////////////////////////// |
---|
634 | // |
---|
635 | // |
---|
636 | |
---|
637 | inline G4double G4NuclNuclDiffuseElastic::GetErf(G4double x) |
---|
638 | { |
---|
639 | G4double t, z, tmp, result; |
---|
640 | |
---|
641 | z = std::fabs(x); |
---|
642 | t = 1.0/(1.0+0.5*z); |
---|
643 | |
---|
644 | tmp = t*exp(-z*z-1.26551223+t*(1.00002368+t*(0.37409196+t*(0.09678418+ |
---|
645 | t*(-0.18628806+t*(0.27886807+t*(-1.13520398+t*(1.48851587+ |
---|
646 | t*(-0.82215223+t*0.17087277))))))))); |
---|
647 | |
---|
648 | if( x >= 0.) result = 1. - tmp; |
---|
649 | else result = 1. + tmp; |
---|
650 | |
---|
651 | return result; |
---|
652 | } |
---|
653 | |
---|
654 | ///////////////////////////////////////////////////////////////// |
---|
655 | // |
---|
656 | // |
---|
657 | |
---|
658 | inline G4complex G4NuclNuclDiffuseElastic::GetErfcComp(G4complex z, G4int nMax) |
---|
659 | { |
---|
660 | G4complex erfcz = 1. - GetErfComp( z, nMax); |
---|
661 | return erfcz; |
---|
662 | } |
---|
663 | |
---|
664 | ///////////////////////////////////////////////////////////////// |
---|
665 | // |
---|
666 | // |
---|
667 | |
---|
668 | inline G4complex G4NuclNuclDiffuseElastic::GetErfcSer(G4complex z, G4int nMax) |
---|
669 | { |
---|
670 | G4complex erfcz = 1. - GetErfSer( z, nMax); |
---|
671 | return erfcz; |
---|
672 | } |
---|
673 | |
---|
674 | ///////////////////////////////////////////////////////////////// |
---|
675 | // |
---|
676 | // |
---|
677 | |
---|
678 | inline G4complex G4NuclNuclDiffuseElastic::GetErfcInt(G4complex z) // , G4int nMax) |
---|
679 | { |
---|
680 | G4complex erfcz = 1. - GetErfInt( z); // , nMax); |
---|
681 | return erfcz; |
---|
682 | } |
---|
683 | |
---|
684 | ///////////////////////////////////////////////////////////////// |
---|
685 | // |
---|
686 | // |
---|
687 | |
---|
688 | inline G4complex G4NuclNuclDiffuseElastic::TestErfcComp(G4complex z, G4int nMax) |
---|
689 | { |
---|
690 | G4complex miz = G4complex( z.imag(), -z.real() ); |
---|
691 | G4complex erfcz = 1. - GetErfComp( miz, nMax); |
---|
692 | G4complex w = std::exp(-z*z)*erfcz; |
---|
693 | return w; |
---|
694 | } |
---|
695 | |
---|
696 | ///////////////////////////////////////////////////////////////// |
---|
697 | // |
---|
698 | // |
---|
699 | |
---|
700 | inline G4complex G4NuclNuclDiffuseElastic::TestErfcSer(G4complex z, G4int nMax) |
---|
701 | { |
---|
702 | G4complex miz = G4complex( z.imag(), -z.real() ); |
---|
703 | G4complex erfcz = 1. - GetErfSer( miz, nMax); |
---|
704 | G4complex w = std::exp(-z*z)*erfcz; |
---|
705 | return w; |
---|
706 | } |
---|
707 | |
---|
708 | ///////////////////////////////////////////////////////////////// |
---|
709 | // |
---|
710 | // |
---|
711 | |
---|
712 | inline G4complex G4NuclNuclDiffuseElastic::TestErfcInt(G4complex z) // , G4int nMax) |
---|
713 | { |
---|
714 | G4complex miz = G4complex( z.imag(), -z.real() ); |
---|
715 | G4complex erfcz = 1. - GetErfInt( miz); // , nMax); |
---|
716 | G4complex w = std::exp(-z*z)*erfcz; |
---|
717 | return w; |
---|
718 | } |
---|
719 | |
---|
720 | ///////////////////////////////////////////////////////////////// |
---|
721 | // |
---|
722 | // |
---|
723 | |
---|
724 | inline G4complex G4NuclNuclDiffuseElastic::GetErfComp(G4complex z, G4int nMax) |
---|
725 | { |
---|
726 | G4int n; |
---|
727 | G4double n2, cofn, shny, chny, fn, gn; |
---|
728 | |
---|
729 | G4double x = z.real(); |
---|
730 | G4double y = z.imag(); |
---|
731 | |
---|
732 | G4double outRe = 0., outIm = 0.; |
---|
733 | |
---|
734 | G4double twox = 2.*x; |
---|
735 | G4double twoxy = twox*y; |
---|
736 | G4double twox2 = twox*twox; |
---|
737 | |
---|
738 | G4double cof1 = std::exp(-x*x)/pi; |
---|
739 | |
---|
740 | G4double cos2xy = std::cos(twoxy); |
---|
741 | G4double sin2xy = std::sin(twoxy); |
---|
742 | |
---|
743 | G4double twoxcos2xy = twox*cos2xy; |
---|
744 | G4double twoxsin2xy = twox*sin2xy; |
---|
745 | |
---|
746 | for( n = 1; n <= nMax; n++) |
---|
747 | { |
---|
748 | n2 = n*n; |
---|
749 | |
---|
750 | cofn = std::exp(-0.5*n2)/(n2+twox2); // /(n2+0.5*twox2); |
---|
751 | |
---|
752 | chny = std::cosh(n*y); |
---|
753 | shny = std::sinh(n*y); |
---|
754 | |
---|
755 | fn = twox - twoxcos2xy*chny + n*sin2xy*shny; |
---|
756 | gn = twoxsin2xy*chny + n*cos2xy*shny; |
---|
757 | |
---|
758 | fn *= cofn; |
---|
759 | gn *= cofn; |
---|
760 | |
---|
761 | outRe += fn; |
---|
762 | outIm += gn; |
---|
763 | } |
---|
764 | outRe *= 2*cof1; |
---|
765 | outIm *= 2*cof1; |
---|
766 | |
---|
767 | if(std::abs(x) < 0.0001) |
---|
768 | { |
---|
769 | outRe += GetErf(x); |
---|
770 | outIm += cof1*y; |
---|
771 | } |
---|
772 | else |
---|
773 | { |
---|
774 | outRe += GetErf(x) + cof1*(1-cos2xy)/twox; |
---|
775 | outIm += cof1*sin2xy/twox; |
---|
776 | } |
---|
777 | return G4complex(outRe, outIm); |
---|
778 | } |
---|
779 | |
---|
780 | ///////////////////////////////////////////////////////////////// |
---|
781 | // |
---|
782 | // |
---|
783 | |
---|
784 | inline G4complex G4NuclNuclDiffuseElastic::GetErfSer(G4complex z, G4int nMax) |
---|
785 | { |
---|
786 | G4int n; |
---|
787 | G4double a =1., b = 1., tmp; |
---|
788 | G4complex sum = z, d = z; |
---|
789 | |
---|
790 | for( n = 1; n <= nMax; n++) |
---|
791 | { |
---|
792 | a *= 2.; |
---|
793 | b *= 2.*n +1.; |
---|
794 | d *= z*z; |
---|
795 | |
---|
796 | tmp = a/b; |
---|
797 | |
---|
798 | sum += tmp*d; |
---|
799 | } |
---|
800 | sum *= 2.*std::exp(-z*z)/std::sqrt(pi); |
---|
801 | |
---|
802 | return sum; |
---|
803 | } |
---|
804 | |
---|
805 | ///////////////////////////////////////////////////////////////////// |
---|
806 | |
---|
807 | inline G4double G4NuclNuclDiffuseElastic::GetExpCos(G4double x) |
---|
808 | { |
---|
809 | G4double result; |
---|
810 | |
---|
811 | result = std::exp(x*x-fReZ*fReZ); |
---|
812 | result *= std::cos(2.*x*fReZ); |
---|
813 | return result; |
---|
814 | } |
---|
815 | |
---|
816 | ///////////////////////////////////////////////////////////////////// |
---|
817 | |
---|
818 | inline G4double G4NuclNuclDiffuseElastic::GetExpSin(G4double x) |
---|
819 | { |
---|
820 | G4double result; |
---|
821 | |
---|
822 | result = std::exp(x*x-fReZ*fReZ); |
---|
823 | result *= std::sin(2.*x*fReZ); |
---|
824 | return result; |
---|
825 | } |
---|
826 | |
---|
827 | |
---|
828 | |
---|
829 | ///////////////////////////////////////////////////////////////// |
---|
830 | // |
---|
831 | // |
---|
832 | |
---|
833 | inline G4complex G4NuclNuclDiffuseElastic::GetErfInt(G4complex z) // , G4int nMax) |
---|
834 | { |
---|
835 | G4double outRe, outIm; |
---|
836 | |
---|
837 | G4double x = z.real(); |
---|
838 | G4double y = z.imag(); |
---|
839 | fReZ = x; |
---|
840 | |
---|
841 | G4Integrator<G4NuclNuclDiffuseElastic,G4double(G4NuclNuclDiffuseElastic::*)(G4double)> integral; |
---|
842 | |
---|
843 | outRe = integral.Legendre96(this,&G4NuclNuclDiffuseElastic::GetExpSin, 0., y ); |
---|
844 | outIm = integral.Legendre96(this,&G4NuclNuclDiffuseElastic::GetExpCos, 0., y ); |
---|
845 | |
---|
846 | outRe *= 2./sqrt(pi); |
---|
847 | outIm *= 2./sqrt(pi); |
---|
848 | |
---|
849 | outRe += GetErf(x); |
---|
850 | |
---|
851 | return G4complex(outRe, outIm); |
---|
852 | } |
---|
853 | |
---|
854 | |
---|
855 | ///////////////////////////////////////////////////////////////// |
---|
856 | // |
---|
857 | // |
---|
858 | |
---|
859 | inline G4complex G4NuclNuclDiffuseElastic::CoulombAmplitude(G4double theta) |
---|
860 | { |
---|
861 | G4complex ca; |
---|
862 | |
---|
863 | G4double sinHalfTheta = std::sin(0.5*theta); |
---|
864 | G4double sinHalfTheta2 = sinHalfTheta*sinHalfTheta; |
---|
865 | sinHalfTheta2 += fAm; |
---|
866 | G4double order = 2.*fCoulombPhase0 - fZommerfeld*std::log(sinHalfTheta2); |
---|
867 | G4complex z = G4complex(0., order); |
---|
868 | ca = std::exp(z); |
---|
869 | ca *= -fZommerfeld/(2.*fWaveVector*sinHalfTheta2); |
---|
870 | |
---|
871 | return ca; |
---|
872 | } |
---|
873 | |
---|
874 | ///////////////////////////////////////////////////////////////// |
---|
875 | // |
---|
876 | // |
---|
877 | |
---|
878 | |
---|
879 | inline void G4NuclNuclDiffuseElastic::CalculateCoulombPhaseZero() |
---|
880 | { |
---|
881 | G4complex z = G4complex(1,fZommerfeld); |
---|
882 | G4complex gammalog = GammaLogarithm(z); |
---|
883 | fCoulombPhase0 = gammalog.imag(); |
---|
884 | } |
---|
885 | |
---|
886 | |
---|
887 | ///////////////////////////////////////////////////////////////// |
---|
888 | // |
---|
889 | // |
---|
890 | |
---|
891 | |
---|
892 | inline void G4NuclNuclDiffuseElastic::CalculateRutherfordAnglePar() |
---|
893 | { |
---|
894 | fHalfRutThetaTg = fZommerfeld/(fWaveVector*fNuclearRadius); |
---|
895 | fRutherfordTheta = 2.*std::atan(fHalfRutThetaTg); |
---|
896 | G4cout<<"fRutherfordTheta = "<<fRutherfordTheta/degree<<" degree"<<G4endl; |
---|
897 | |
---|
898 | } |
---|
899 | |
---|
900 | ///////////////////////////////////////////////////////////////// |
---|
901 | // |
---|
902 | // |
---|
903 | |
---|
904 | inline G4double G4NuclNuclDiffuseElastic::ProfileNear(G4double theta) |
---|
905 | { |
---|
906 | G4double dTheta = fRutherfordTheta - theta; |
---|
907 | G4double result = 0., argument = 0.; |
---|
908 | |
---|
909 | if(std::abs(dTheta) < 0.001) result = fProfileAlpha*fProfileDelta; |
---|
910 | else |
---|
911 | { |
---|
912 | argument = fProfileDelta*dTheta; |
---|
913 | result = pi*argument*std::exp(fProfileAlpha*argument); |
---|
914 | result /= std::sinh(pi*argument); |
---|
915 | result -= 1.; |
---|
916 | result /= dTheta; |
---|
917 | } |
---|
918 | return result; |
---|
919 | } |
---|
920 | |
---|
921 | ///////////////////////////////////////////////////////////////// |
---|
922 | // |
---|
923 | // |
---|
924 | |
---|
925 | inline G4double G4NuclNuclDiffuseElastic::ProfileFar(G4double theta) |
---|
926 | { |
---|
927 | G4double dTheta = fRutherfordTheta + theta; |
---|
928 | G4double argument = fProfileDelta*dTheta; |
---|
929 | |
---|
930 | G4double result = pi*argument*std::exp(fProfileAlpha*argument); |
---|
931 | result /= std::sinh(pi*argument); |
---|
932 | result /= dTheta; |
---|
933 | |
---|
934 | return result; |
---|
935 | } |
---|
936 | |
---|
937 | ///////////////////////////////////////////////////////////////// |
---|
938 | // |
---|
939 | // |
---|
940 | |
---|
941 | inline G4complex G4NuclNuclDiffuseElastic::PhaseNear(G4double theta) |
---|
942 | { |
---|
943 | G4double twosigma = 2.*fCoulombPhase0; |
---|
944 | twosigma -= fZommerfeld*std::log(fHalfRutThetaTg/(1.+fHalfRutThetaTg*fHalfRutThetaTg)); |
---|
945 | twosigma += fRutherfordTheta*fZommerfeld/fHalfRutThetaTg - halfpi; |
---|
946 | twosigma -= fProfileLambda*theta - 0.25*pi; |
---|
947 | |
---|
948 | G4complex z = G4complex(0., twosigma); |
---|
949 | |
---|
950 | return std::exp(z); |
---|
951 | } |
---|
952 | |
---|
953 | ///////////////////////////////////////////////////////////////// |
---|
954 | // |
---|
955 | // |
---|
956 | |
---|
957 | inline G4complex G4NuclNuclDiffuseElastic::PhaseFar(G4double theta) |
---|
958 | { |
---|
959 | G4double twosigma = 2.*fCoulombPhase0; |
---|
960 | twosigma -= fZommerfeld*std::log(fHalfRutThetaTg/(1.+fHalfRutThetaTg*fHalfRutThetaTg)); |
---|
961 | twosigma += fRutherfordTheta*fZommerfeld/fHalfRutThetaTg - halfpi; |
---|
962 | twosigma += fProfileLambda*theta - 0.25*pi; |
---|
963 | |
---|
964 | G4complex z = G4complex(0., twosigma); |
---|
965 | |
---|
966 | return std::exp(z); |
---|
967 | } |
---|
968 | |
---|
969 | ///////////////////////////////////////////////////////////////// |
---|
970 | // |
---|
971 | // |
---|
972 | |
---|
973 | |
---|
974 | inline G4complex G4NuclNuclDiffuseElastic::GammaLess(G4double theta) |
---|
975 | { |
---|
976 | G4double sinThetaR = 2.*fHalfRutThetaTg/(1. + fHalfRutThetaTg*fHalfRutThetaTg); |
---|
977 | G4double cosHalfThetaR2 = 1./(1. + fHalfRutThetaTg*fHalfRutThetaTg); |
---|
978 | |
---|
979 | G4double u = std::sqrt(0.5*fProfileLambda/sinThetaR); |
---|
980 | G4double kappa = u/std::sqrt(pi); |
---|
981 | G4double dTheta = theta - fRutherfordTheta; |
---|
982 | u *= dTheta; |
---|
983 | G4double u2 = u*u; |
---|
984 | G4double u2m2p3 = u2*2./3.; |
---|
985 | |
---|
986 | G4complex im = G4complex(0.,1.); |
---|
987 | G4complex order = G4complex(u,u); |
---|
988 | order /= std::sqrt(2.); |
---|
989 | G4complex gamma = pi*kappa*GetErfcInt(-order)*std::exp(im*(u*u+0.25*pi)); |
---|
990 | G4complex a0 = 0.5*(1. + 4.*(1.+im*u2)*cosHalfThetaR2/3.)/sinThetaR; |
---|
991 | G4complex a1 = 0.5*(1. + 2.*(1.+im*u2m2p3)*cosHalfThetaR2)/sinThetaR; |
---|
992 | G4complex out = gamma*(1. - a1*dTheta) - a0; |
---|
993 | return out; |
---|
994 | } |
---|
995 | |
---|
996 | ///////////////////////////////////////////////////////////////// |
---|
997 | // |
---|
998 | // |
---|
999 | |
---|
1000 | inline G4complex G4NuclNuclDiffuseElastic::GammaMore(G4double theta) |
---|
1001 | { |
---|
1002 | G4double sinThetaR = 2.*fHalfRutThetaTg/(1. + fHalfRutThetaTg*fHalfRutThetaTg); |
---|
1003 | G4double cosHalfThetaR2 = 1./(1. + fHalfRutThetaTg*fHalfRutThetaTg); |
---|
1004 | |
---|
1005 | G4double u = std::sqrt(0.5*fProfileLambda/sinThetaR); |
---|
1006 | G4double kappa = u/std::sqrt(pi); |
---|
1007 | G4double dTheta = theta - fRutherfordTheta; |
---|
1008 | u *= dTheta; |
---|
1009 | G4double u2 = u*u; |
---|
1010 | G4double u2m2p3 = u2*2./3.; |
---|
1011 | |
---|
1012 | G4complex im = G4complex(0.,1.); |
---|
1013 | G4complex order = G4complex(u,u); |
---|
1014 | order /= std::sqrt(2.); |
---|
1015 | G4complex gamma = pi*kappa*GetErfcInt(order)*std::exp(im*(u*u+0.25*pi)); |
---|
1016 | G4complex a0 = 0.5*(1. + 3.*(1.+im*u2)*cosHalfThetaR2/3.)/sinThetaR; |
---|
1017 | G4complex a1 = 0.5*(1. + 2.*(1.+im*u2m2p3)*cosHalfThetaR2)/sinThetaR; |
---|
1018 | G4complex out = -gamma*(1. - a1*dTheta) - a0; |
---|
1019 | return out; |
---|
1020 | } |
---|
1021 | |
---|
1022 | ///////////////////////////////////////////////////////////////// |
---|
1023 | // |
---|
1024 | // |
---|
1025 | |
---|
1026 | inline G4complex G4NuclNuclDiffuseElastic::AmplitudeNear(G4double theta) |
---|
1027 | { |
---|
1028 | G4double kappa = std::sqrt(0.5*fProfileLambda/std::sin(theta)/pi); |
---|
1029 | G4complex out = G4complex(kappa/fWaveVector,0.); |
---|
1030 | out *= PhaseNear(theta); |
---|
1031 | |
---|
1032 | if(theta <= fRutherfordTheta) |
---|
1033 | { |
---|
1034 | out *= GammaLess(theta) + ProfileNear(theta); |
---|
1035 | out += CoulombAmplitude(theta); |
---|
1036 | } |
---|
1037 | else |
---|
1038 | { |
---|
1039 | out *= GammaMore(theta) + ProfileNear(theta); |
---|
1040 | } |
---|
1041 | return out; |
---|
1042 | } |
---|
1043 | |
---|
1044 | ///////////////////////////////////////////////////////////////// |
---|
1045 | // |
---|
1046 | // |
---|
1047 | |
---|
1048 | inline G4complex G4NuclNuclDiffuseElastic::AmplitudeFar(G4double theta) |
---|
1049 | { |
---|
1050 | G4double kappa = std::sqrt(0.5*fProfileLambda/std::sin(theta)/pi); |
---|
1051 | G4complex out = G4complex(kappa/fWaveVector,0.); |
---|
1052 | out *= ProfileFar(theta)*PhaseFar(theta); |
---|
1053 | return out; |
---|
1054 | } |
---|
1055 | |
---|
1056 | |
---|
1057 | ///////////////////////////////////////////////////////////////// |
---|
1058 | // |
---|
1059 | // |
---|
1060 | |
---|
1061 | inline G4complex G4NuclNuclDiffuseElastic::Amplitude(G4double theta) |
---|
1062 | { |
---|
1063 | |
---|
1064 | G4complex out = AmplitudeNear(theta) + AmplitudeFar(theta); |
---|
1065 | return out; |
---|
1066 | } |
---|
1067 | |
---|
1068 | ///////////////////////////////////////////////////////////////// |
---|
1069 | // |
---|
1070 | // |
---|
1071 | |
---|
1072 | inline G4double G4NuclNuclDiffuseElastic::AmplitudeMod2(G4double theta) |
---|
1073 | { |
---|
1074 | G4complex out = Amplitude(theta); |
---|
1075 | G4double mod2 = out.real()*out.real() + out.imag()*out.imag(); |
---|
1076 | return mod2; |
---|
1077 | } |
---|
1078 | |
---|
1079 | |
---|
1080 | /////////////////////////////////////////////////////////////////////////////// |
---|
1081 | // |
---|
1082 | // Test for given particle and element table of momentum, angle probability. |
---|
1083 | // For the moment in lab system. |
---|
1084 | |
---|
1085 | inline void G4NuclNuclDiffuseElastic::InitParameters(const G4ParticleDefinition* theParticle, |
---|
1086 | G4double partMom, G4double Z, G4double A) |
---|
1087 | { |
---|
1088 | fAtomicNumber = Z; // atomic number |
---|
1089 | fAtomicWeight = A; // number of nucleons |
---|
1090 | |
---|
1091 | fNuclearRadius2 = CalculateNuclearRad(fAtomicWeight); |
---|
1092 | G4double A1 = G4double( theParticle->GetBaryonNumber() ); |
---|
1093 | fNuclearRadius1 = CalculateNuclearRad(A1); |
---|
1094 | // fNuclearRadius = std::sqrt(fNuclearRadius1*fNuclearRadius1+fNuclearRadius2*fNuclearRadius2); |
---|
1095 | fNuclearRadius = fNuclearRadius1 + fNuclearRadius2; |
---|
1096 | |
---|
1097 | G4double a = 0.; |
---|
1098 | G4double z = theParticle->GetPDGCharge(); |
---|
1099 | G4double m1 = theParticle->GetPDGMass(); |
---|
1100 | |
---|
1101 | fWaveVector = partMom/hbarc; |
---|
1102 | |
---|
1103 | G4double lambda = fWaveVector*fNuclearRadius; |
---|
1104 | |
---|
1105 | if( z ) |
---|
1106 | { |
---|
1107 | a = partMom/m1; // beta*gamma for m1 |
---|
1108 | fBeta = a/std::sqrt(1+a*a); |
---|
1109 | fZommerfeld = CalculateZommerfeld( fBeta, z, fAtomicNumber); |
---|
1110 | fAm = CalculateAm( partMom, fZommerfeld, fAtomicNumber); |
---|
1111 | } |
---|
1112 | fProfileLambda = lambda*std::sqrt(1.-2*fZommerfeld/lambda); |
---|
1113 | G4cout<<"fProfileLambda = "<<fProfileLambda<<G4endl; |
---|
1114 | fProfileDelta = 0.1*fProfileLambda; |
---|
1115 | fProfileAlpha = 0.05*fProfileLambda; |
---|
1116 | |
---|
1117 | CalculateCoulombPhaseZero(); |
---|
1118 | CalculateRutherfordAnglePar(); |
---|
1119 | |
---|
1120 | return; |
---|
1121 | } |
---|
1122 | |
---|
1123 | |
---|
1124 | |
---|
1125 | |
---|
1126 | |
---|
1127 | #endif |
---|