1 | // |
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2 | // ******************************************************************** |
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3 | // * License and Disclaimer * |
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4 | // * * |
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5 | // * The Geant4 software is copyright of the Copyright Holders of * |
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6 | // * the Geant4 Collaboration. It is provided under the terms and * |
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7 | // * conditions of the Geant4 Software License, included in the file * |
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8 | // * LICENSE and available at http://cern.ch/geant4/license . These * |
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9 | // * include a list of copyright holders. * |
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10 | // * * |
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11 | // * Neither the authors of this software system, nor their employing * |
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12 | // * institutes,nor the agencies providing financial support for this * |
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13 | // * work make any representation or warranty, express or implied, * |
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14 | // * regarding this software system or assume any liability for its * |
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15 | // * use. Please see the license in the file LICENSE and URL above * |
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16 | // * for the full disclaimer and the limitation of liability. * |
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17 | // * * |
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18 | // * This code implementation is the result of the scientific and * |
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19 | // * technical work of the GEANT4 collaboration. * |
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20 | // * By using, copying, modifying or distributing the software (or * |
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21 | // * any work based on the software) you agree to acknowledge its * |
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22 | // * use in resulting scientific publications, and indicate your * |
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23 | // * acceptance of all terms of the Geant4 Software license. * |
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24 | // ******************************************************************** |
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25 | // |
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26 | // |
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27 | // $Id: G4ChordFinder.cc,v 1.47 2006/06/29 18:23:32 gunter Exp $ |
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28 | // GEANT4 tag $Name: $ |
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29 | // |
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30 | // |
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31 | // 25.02.97 John Apostolakis, design and implimentation |
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32 | // 05.03.97 V. Grichine , style modification |
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33 | // ------------------------------------------------------------------- |
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34 | |
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35 | #include "G4ChordFinder.hh" |
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36 | #include "G4MagneticField.hh" |
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37 | #include "G4Mag_UsualEqRhs.hh" |
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38 | #include "G4ClassicalRK4.hh" |
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39 | |
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40 | #include <iomanip> |
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41 | |
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42 | // .......................................................................... |
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43 | |
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44 | G4ChordFinder::G4ChordFinder(G4MagInt_Driver* pIntegrationDriver) |
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45 | : fDefaultDeltaChord( 0.25 * mm ), |
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46 | fDeltaChord( fDefaultDeltaChord ), |
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47 | fAllocatedStepper(false), |
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48 | fEquation(0), |
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49 | fDriversStepper(0), |
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50 | fFirstFraction(0.999), fFractionLast(1.00), fFractionNextEstimate(0.98), |
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51 | fMultipleRadius(15.0), |
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52 | fTotalNoTrials_FNC(0), fNoCalls_FNC(0), fmaxTrials_FNC(0), |
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53 | fStatsVerbose(0) |
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54 | { |
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55 | // Simple constructor which does not create equation, .. |
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56 | // fDeltaChord= fDefaultDeltaChord; |
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57 | fIntgrDriver= pIntegrationDriver; |
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58 | fAllocatedStepper= false; |
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59 | fLastStepEstimate_Unconstrained = DBL_MAX; // Should move q, p to |
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60 | |
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61 | SetFractions_Last_Next( fFractionLast, fFractionNextEstimate); |
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62 | // check the values and set the other parameters |
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63 | } |
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64 | |
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65 | // .......................................................................... |
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66 | |
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67 | G4ChordFinder::G4ChordFinder( G4MagneticField* theMagField, |
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68 | G4double stepMinimum, |
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69 | G4MagIntegratorStepper* pItsStepper ) |
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70 | : fDefaultDeltaChord( 0.25 * mm ), |
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71 | fDeltaChord( fDefaultDeltaChord ), |
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72 | fAllocatedStepper(false), |
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73 | fEquation(0), |
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74 | fDriversStepper(0), |
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75 | fFirstFraction(0.999), fFractionLast(1.00), fFractionNextEstimate(0.98), |
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76 | fMultipleRadius(15.0), |
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77 | fTotalNoTrials_FNC(0), fNoCalls_FNC(0), fmaxTrials_FNC(0), |
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78 | fStatsVerbose(0) |
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79 | { |
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80 | // Construct the Chord Finder |
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81 | // by creating in inverse order the Driver, the Stepper and EqRhs ... |
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82 | G4Mag_EqRhs *pEquation = new G4Mag_UsualEqRhs(theMagField); |
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83 | fEquation = pEquation; |
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84 | fLastStepEstimate_Unconstrained = DBL_MAX; // Should move q, p to |
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85 | // G4FieldTrack ?? |
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86 | |
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87 | SetFractions_Last_Next( fFractionLast, fFractionNextEstimate); |
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88 | // check the values and set the other parameters |
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89 | |
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90 | // --->> Charge Q = 0 |
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91 | // --->> Momentum P = 1 NOMINAL VALUES !!!!!!!!!!!!!!!!!! |
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92 | |
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93 | if( pItsStepper == 0 ) |
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94 | { |
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95 | pItsStepper = fDriversStepper = new G4ClassicalRK4(pEquation); |
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96 | fAllocatedStepper= true; |
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97 | } |
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98 | else |
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99 | { |
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100 | fAllocatedStepper= false; |
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101 | } |
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102 | fIntgrDriver = new G4MagInt_Driver(stepMinimum, pItsStepper, |
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103 | pItsStepper->GetNumberOfVariables() ); |
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104 | } |
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105 | |
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106 | // ...................................................................... |
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107 | |
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108 | void |
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109 | G4ChordFinder::SetFractions_Last_Next( G4double fractLast, G4double fractNext ) |
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110 | { |
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111 | // Use -1.0 as request for Default. |
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112 | if( fractLast == -1.0 ) fractLast = 1.0; // 0.9; |
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113 | if( fractNext == -1.0 ) fractNext = 0.98; // 0.9; |
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114 | |
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115 | // fFirstFraction = 0.999; // Orig 0.999 A safe value, range: ~ 0.95 - 0.999 |
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116 | // fMultipleRadius = 15.0; // For later use, range: ~ 2 - 20 |
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117 | |
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118 | if( fStatsVerbose ) { |
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119 | G4cout << " ChordFnd> Trying to set fractions: " |
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120 | << " first " << fFirstFraction |
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121 | << " last " << fractLast |
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122 | << " next " << fractNext |
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123 | << " and multiple " << fMultipleRadius |
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124 | << G4endl; |
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125 | } |
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126 | |
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127 | if( (fractLast > 0.0) && (fractLast <=1.0) ) |
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128 | { fFractionLast= fractLast; } |
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129 | else |
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130 | G4cerr << "G4ChordFinder:: SetFractions_Last_Next: Invalid " |
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131 | << " fraction Last = " << fractLast |
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132 | << " must be 0 < fractionLast <= 1 " << G4endl; |
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133 | if( (fractNext > 0.0) && (fractNext <1.0) ) |
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134 | { fFractionNextEstimate = fractNext; } |
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135 | else |
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136 | G4cerr << "G4ChordFinder:: SetFractions_Last_Next: Invalid " |
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137 | << " fraction Next = " << fractNext |
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138 | << " must be 0 < fractionNext < 1 " << G4endl; |
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139 | } |
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140 | |
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141 | // ...................................................................... |
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142 | |
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143 | G4ChordFinder::~G4ChordFinder() |
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144 | { |
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145 | delete fEquation; // fIntgrDriver->pIntStepper->theEquation_Rhs; |
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146 | if( fAllocatedStepper) |
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147 | { |
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148 | delete fDriversStepper; |
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149 | } // fIntgrDriver->pIntStepper;} |
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150 | delete fIntgrDriver; |
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151 | |
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152 | if( fStatsVerbose ) { PrintStatistics(); } |
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153 | } |
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154 | |
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155 | void |
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156 | G4ChordFinder::PrintStatistics() |
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157 | { |
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158 | // Print Statistics |
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159 | G4cout << "G4ChordFinder statistics report: " << G4endl; |
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160 | G4cout |
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161 | << " No trials: " << fTotalNoTrials_FNC |
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162 | << " No Calls: " << fNoCalls_FNC |
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163 | << " Max-trial: " << fmaxTrials_FNC |
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164 | << G4endl; |
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165 | G4cout |
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166 | << " Parameters: " |
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167 | << " fFirstFraction " << fFirstFraction |
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168 | << " fFractionLast " << fFractionLast |
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169 | << " fFractionNextEstimate " << fFractionNextEstimate |
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170 | << G4endl; |
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171 | } |
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172 | |
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173 | // ...................................................................... |
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174 | |
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175 | G4double |
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176 | G4ChordFinder::AdvanceChordLimited( G4FieldTrack& yCurrent, |
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177 | G4double stepMax, |
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178 | G4double epsStep, |
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179 | const G4ThreeVector latestSafetyOrigin, |
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180 | G4double latestSafetyRadius |
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181 | ) |
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182 | { |
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183 | G4double stepPossible; |
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184 | G4double dyErr; |
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185 | G4FieldTrack yEnd( yCurrent); |
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186 | G4double startCurveLen= yCurrent.GetCurveLength(); |
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187 | |
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188 | G4double nextStep; |
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189 | // ************* |
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190 | stepPossible= FindNextChord(yCurrent, stepMax, yEnd, dyErr, epsStep, &nextStep |
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191 | , latestSafetyOrigin, latestSafetyRadius |
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192 | ); |
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193 | // ************* |
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194 | G4bool good_advance; |
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195 | if ( dyErr < epsStep * stepPossible ) |
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196 | { |
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197 | // Accept this accuracy. |
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198 | yCurrent = yEnd; |
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199 | good_advance = true; |
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200 | } |
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201 | else |
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202 | { |
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203 | // Advance more accurately to "end of chord" |
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204 | // *************** |
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205 | good_advance = fIntgrDriver->AccurateAdvance(yCurrent, stepPossible, epsStep, nextStep); |
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206 | // *************** |
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207 | if ( ! good_advance ){ |
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208 | // In this case the driver could not do the full distance |
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209 | stepPossible= yCurrent.GetCurveLength()-startCurveLen; |
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210 | } |
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211 | } |
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212 | |
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213 | #ifdef G4DEBUG_FIELD |
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214 | G4cout << "Exiting FindNextChord Limited with:" << G4endl |
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215 | << " yCurrent: " << yCurrent<< G4endl; |
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216 | #endif |
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217 | |
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218 | return stepPossible; |
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219 | } |
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220 | |
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221 | // #define TEST_CHORD_PRINT 1 |
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222 | |
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223 | // ............................................................................ |
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224 | |
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225 | G4double |
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226 | G4ChordFinder::FindNextChord( const G4FieldTrack yStart, |
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227 | G4double stepMax, |
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228 | G4FieldTrack& yEnd, // Endpoint |
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229 | G4double& dyErrPos, // Error of endpoint |
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230 | G4double epsStep, |
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231 | G4double* pStepForAccuracy, |
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232 | const G4ThreeVector, // latestSafetyOrigin, |
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233 | G4double // latestSafetyRadius |
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234 | ) |
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235 | // Returns Length of Step taken |
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236 | { |
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237 | // G4int stepRKnumber=0; |
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238 | G4FieldTrack yCurrent= yStart; |
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239 | G4double stepTrial, stepForAccuracy; |
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240 | G4double dydx[G4FieldTrack::ncompSVEC]; |
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241 | |
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242 | // 1.) Try to "leap" to end of interval |
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243 | // 2.) Evaluate if resulting chord gives d_chord that is good enough. |
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244 | // 2a.) If d_chord is not good enough, find one that is. |
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245 | |
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246 | G4bool validEndPoint= false; |
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247 | G4double dChordStep, lastStepLength; // stepOfLastGoodChord; |
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248 | |
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249 | fIntgrDriver-> GetDerivatives( yCurrent, dydx ) ; |
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250 | |
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251 | G4int noTrials=0; |
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252 | const G4double safetyFactor= fFirstFraction; // 0.975 or 0.99 ? was 0.999 |
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253 | |
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254 | stepTrial = std::min( stepMax, |
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255 | safetyFactor * fLastStepEstimate_Unconstrained ); |
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256 | |
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257 | G4double newStepEst_Uncons= 0.0; |
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258 | do |
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259 | { |
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260 | G4double stepForChord; |
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261 | yCurrent = yStart; // Always start from initial point |
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262 | |
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263 | // ************ |
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264 | fIntgrDriver->QuickAdvance( yCurrent, dydx, stepTrial, |
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265 | dChordStep, dyErrPos); |
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266 | // ************ |
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267 | |
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268 | // We check whether the criterion is met here. |
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269 | validEndPoint = AcceptableMissDist(dChordStep); |
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270 | // && (dyErrPos < eps) ; |
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271 | |
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272 | lastStepLength = stepTrial; |
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273 | |
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274 | // This method estimates to step size for a good chord. |
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275 | stepForChord = NewStep(stepTrial, dChordStep, newStepEst_Uncons ); |
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276 | |
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277 | if( ! validEndPoint ) { |
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278 | if( stepTrial<=0.0 ) |
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279 | stepTrial = stepForChord; |
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280 | else if (stepForChord <= stepTrial) |
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281 | // Reduce by a fraction, possibly up to 20% |
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282 | stepTrial = std::min( stepForChord, |
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283 | fFractionLast * stepTrial); |
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284 | else |
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285 | stepTrial *= 0.1; |
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286 | |
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287 | // if(dbg) G4cerr<<"Dchord too big. Try new hstep="<<stepTrial<<G4endl; |
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288 | } |
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289 | // #ifdef TEST_CHORD_PRINT |
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290 | // TestChordPrint( noTrials, lastStepLength, dChordStep, stepTrial ); |
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291 | // #endif |
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292 | |
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293 | noTrials++; |
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294 | } |
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295 | while( ! validEndPoint ); // End of do-while RKD |
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296 | |
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297 | if( newStepEst_Uncons > 0.0 ){ |
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298 | fLastStepEstimate_Unconstrained= newStepEst_Uncons; |
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299 | } |
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300 | |
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301 | AccumulateStatistics( noTrials ); |
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302 | |
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303 | // stepOfLastGoodChord = stepTrial; |
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304 | |
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305 | if( pStepForAccuracy ){ |
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306 | // Calculate the step size required for accuracy, if it is needed |
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307 | G4double dyErr_relative = dyErrPos/(epsStep*lastStepLength); |
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308 | if( dyErr_relative > 1.0 ) { |
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309 | stepForAccuracy = |
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310 | fIntgrDriver->ComputeNewStepSize( dyErr_relative, |
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311 | lastStepLength ); |
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312 | }else{ |
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313 | stepForAccuracy = 0.0; // Convention to show step was ok |
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314 | } |
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315 | *pStepForAccuracy = stepForAccuracy; |
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316 | } |
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317 | |
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318 | #ifdef TEST_CHORD_PRINT |
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319 | static int dbg=0; |
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320 | if( dbg ) |
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321 | G4cout << "ChordF/FindNextChord: NoTrials= " << noTrials |
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322 | << " StepForGoodChord=" << std::setw(10) << stepTrial << G4endl; |
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323 | #endif |
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324 | |
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325 | yEnd= yCurrent; |
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326 | return stepTrial; |
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327 | } |
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328 | |
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329 | // ---------------------------------------------------------------------------- |
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330 | #if 0 |
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331 | // #ifdef G4VERBOSE |
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332 | if( dbg ) { |
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333 | G4cerr << "Returned from QuickAdvance with: yCur=" << yCurrent <<G4endl; |
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334 | G4cerr << " dChordStep= "<< dChordStep <<" dyErr=" << dyErr << G4endl; |
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335 | } |
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336 | #endif |
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337 | // ---------------------------------------------------------------------------- |
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338 | |
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339 | // ........................................................................... |
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340 | |
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341 | G4double G4ChordFinder::NewStep(G4double stepTrialOld, |
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342 | G4double dChordStep, // Curr. dchord achieved |
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343 | G4double& stepEstimate_Unconstrained ) |
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344 | // |
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345 | // Is called to estimate the next step size, even for successful steps, |
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346 | // in order to predict an accurate 'chord-sensitive' first step |
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347 | // which is likely to assist in more performant 'stepping'. |
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348 | // |
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349 | |
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350 | { |
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351 | G4double stepTrial; |
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352 | static G4double lastStepTrial = 1., lastDchordStep= 1.; |
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353 | |
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354 | #if 1 |
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355 | // const G4double threshold = 1.21, multiplier = 0.9; |
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356 | // 0.9 < 1 / std::sqrt(1.21) |
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357 | |
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358 | if (dChordStep > 0.0) |
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359 | { |
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360 | stepEstimate_Unconstrained = stepTrialOld*std::sqrt( fDeltaChord / dChordStep ); |
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361 | // stepTrial = 0.98 * stepEstimate_Unconstrained; |
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362 | stepTrial = fFractionNextEstimate * stepEstimate_Unconstrained; |
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363 | } |
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364 | else |
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365 | { |
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366 | // Should not update the Unconstrained Step estimate: incorrect! |
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367 | stepTrial = stepTrialOld * 2.; |
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368 | } |
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369 | |
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370 | // if ( dChordStep < threshold * fDeltaChord ){ |
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371 | // stepTrial= stepTrialOld * multiplier; |
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372 | // } |
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373 | if( stepTrial <= 0.001 * stepTrialOld) |
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374 | { |
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375 | if ( dChordStep > 1000.0 * fDeltaChord ){ |
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376 | stepTrial= stepTrialOld * 0.03; |
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377 | }else{ |
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378 | if ( dChordStep > 100. * fDeltaChord ){ |
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379 | stepTrial= stepTrialOld * 0.1; |
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380 | }else{ |
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381 | // Try halving the length until dChordStep OK |
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382 | stepTrial= stepTrialOld * 0.5; |
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383 | } |
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384 | } |
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385 | }else if (stepTrial > 1000.0 * stepTrialOld) |
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386 | { |
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387 | stepTrial= 1000.0 * stepTrialOld; |
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388 | } |
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389 | |
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390 | if( stepTrial == 0.0 ){ |
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391 | stepTrial= 0.000001; |
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392 | } |
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393 | |
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394 | lastStepTrial = stepTrialOld; |
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395 | lastDchordStep= dChordStep; |
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396 | #else |
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397 | if ( dChordStep > 1000. * fDeltaChord ){ |
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398 | stepTrial= stepTrialOld * 0.03; |
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399 | }else{ |
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400 | if ( dChordStep > 100. * fDeltaChord ){ |
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401 | stepTrial= stepTrialOld * 0.1; |
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402 | }else{ |
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403 | // Keep halving the length until dChordStep OK |
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404 | stepTrial= stepTrialOld * 0.5; |
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405 | } |
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406 | } |
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407 | #endif |
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408 | |
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409 | // A more sophisticated chord-finder could figure out a better |
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410 | // stepTrial, from dChordStep and the required d_geometry |
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411 | // eg |
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412 | // Calculate R, r_helix (eg at orig point) |
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413 | // if( stepTrial < 2 pi R ) |
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414 | // stepTrial = R arc_cos( 1 - fDeltaChord / r_helix ) |
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415 | // else |
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416 | // ?? |
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417 | |
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418 | return stepTrial; |
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419 | } |
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420 | |
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421 | // |
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422 | // Given a starting curve point A (CurveA_PointVelocity), a later |
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423 | // curve point B (CurveB_PointVelocity) and a point E which is (generally) |
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424 | // not on the curve, find and return a point F which is on the curve and |
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425 | // which is close to E. While advancing towards F utilise eps_step |
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426 | // as a measure of the relative accuracy of each Step. |
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427 | |
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428 | G4FieldTrack |
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429 | G4ChordFinder::ApproxCurvePointV( const G4FieldTrack& CurveA_PointVelocity, |
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430 | const G4FieldTrack& CurveB_PointVelocity, |
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431 | const G4ThreeVector& CurrentE_Point, |
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432 | G4double eps_step) |
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433 | { |
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434 | // 1st implementation: |
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435 | // if r=|AE|/|AB|, and s=true path lenght (AB) |
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436 | // return the point that is r*s along the curve! |
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437 | |
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438 | G4FieldTrack Current_PointVelocity= CurveA_PointVelocity; |
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439 | |
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440 | G4ThreeVector CurveA_Point= CurveA_PointVelocity.GetPosition(); |
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441 | G4ThreeVector CurveB_Point= CurveB_PointVelocity.GetPosition(); |
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442 | |
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443 | G4ThreeVector ChordAB_Vector= CurveB_Point - CurveA_Point; |
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444 | G4ThreeVector ChordAE_Vector= CurrentE_Point - CurveA_Point; |
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445 | |
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446 | G4double ABdist= ChordAB_Vector.mag(); |
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447 | G4double curve_length; // A curve length of AB |
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448 | G4double AE_fraction; |
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449 | |
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450 | curve_length= CurveB_PointVelocity.GetCurveLength() |
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451 | - CurveA_PointVelocity.GetCurveLength(); |
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452 | |
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453 | // const |
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454 | G4double integrationInaccuracyLimit= std::max( perMillion, 0.5*eps_step ); |
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455 | if( curve_length < ABdist * (1. - integrationInaccuracyLimit) ){ |
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456 | #ifdef G4DEBUG_FIELD |
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457 | G4cerr << " Warning in G4ChordFinder::ApproxCurvePoint: " |
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458 | << G4endl |
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459 | << " The two points are further apart than the curve length " |
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460 | << G4endl |
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461 | << " Dist = " << ABdist |
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462 | << " curve length = " << curve_length |
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463 | << " relativeDiff = " << (curve_length-ABdist)/ABdist |
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464 | << G4endl; |
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465 | if( curve_length < ABdist * (1. - 10*eps_step) ) { |
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466 | G4cerr << " ERROR: the size of the above difference" |
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467 | << " exceeds allowed limits. Aborting." << G4endl; |
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468 | G4Exception("G4ChordFinder::ApproxCurvePointV()", "PrecisionError", |
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469 | FatalException, "Unphysical curve length."); |
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470 | } |
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471 | #endif |
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472 | // Take default corrective action: |
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473 | // --> adjust the maximum curve length. |
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474 | // NOTE: this case only happens for relatively straight paths. |
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475 | curve_length = ABdist; |
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476 | } |
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477 | |
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478 | G4double new_st_length; |
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479 | |
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480 | if ( ABdist > 0.0 ){ |
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481 | AE_fraction = ChordAE_Vector.mag() / ABdist; |
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482 | }else{ |
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483 | AE_fraction = 0.5; // Guess .. ?; |
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484 | #ifdef G4DEBUG_FIELD |
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485 | G4cout << "Warning in G4ChordFinder::ApproxCurvePoint:" |
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486 | << " A and B are the same point!" << G4endl |
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487 | << " Chord AB length = " << ChordAE_Vector.mag() << G4endl |
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488 | << G4endl; |
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489 | #endif |
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490 | } |
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491 | |
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492 | if( (AE_fraction> 1.0 + perMillion) || (AE_fraction< 0.) ){ |
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493 | #ifdef G4DEBUG_FIELD |
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494 | G4cerr << " G4ChordFinder::ApproxCurvePointV - Warning:" |
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495 | << " Anomalous condition:AE > AB or AE/AB <= 0 " << G4endl |
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496 | << " AE_fraction = " << AE_fraction << G4endl |
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497 | << " Chord AE length = " << ChordAE_Vector.mag() << G4endl |
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498 | << " Chord AB length = " << ABdist << G4endl << G4endl; |
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499 | G4cerr << " OK if this condition occurs after a recalculation of 'B'" |
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500 | << G4endl << " Otherwise it is an error. " << G4endl ; |
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501 | #endif |
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502 | // This course can now result if B has been re-evaluated, |
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503 | // without E being recomputed (1 July 99) |
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504 | // In this case this is not a "real error" - but it undesired |
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505 | // and we cope with it by a default corrective action ... |
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506 | AE_fraction = 0.5; // Default value |
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507 | } |
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508 | |
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509 | new_st_length= AE_fraction * curve_length; |
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510 | |
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511 | G4bool good_advance; |
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512 | if ( AE_fraction > 0.0 ) { |
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513 | good_advance = |
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514 | fIntgrDriver->AccurateAdvance(Current_PointVelocity, |
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515 | new_st_length, |
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516 | eps_step ); // Relative accuracy |
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517 | // In this case it does not matter if it cannot advance the full distance |
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518 | } |
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519 | |
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520 | // If there was a memory of the step_length actually require at the start |
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521 | // of the integration Step, this could be re-used ... |
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522 | |
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523 | return Current_PointVelocity; |
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524 | } |
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525 | |
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526 | void |
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527 | G4ChordFinder::TestChordPrint( G4int noTrials, |
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528 | G4int lastStepTrial, |
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529 | G4double dChordStep, |
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530 | G4double nextStepTrial ) |
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531 | { |
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532 | G4int oldprec= G4cout.precision(5); |
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533 | G4cout << " ChF/fnc: notrial " << std::setw( 3) << noTrials |
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534 | << " this_step= " << std::setw(10) << lastStepTrial; |
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535 | if( std::fabs( (dChordStep / fDeltaChord) - 1.0 ) < 0.001 ){ |
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536 | G4cout.precision(8); |
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537 | }else{ G4cout.precision(6); } |
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538 | G4cout << " dChordStep= " << std::setw(12) << dChordStep; |
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539 | if( dChordStep > fDeltaChord ) { G4cout << " d+"; } |
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540 | else { G4cout << " d-"; } |
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541 | G4cout.precision(5); |
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542 | G4cout << " new_step= " << std::setw(10) |
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543 | << fLastStepEstimate_Unconstrained |
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544 | << " new_step_constr= " << std::setw(10) |
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545 | << lastStepTrial << G4endl; |
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546 | G4cout << " nextStepTrial = " << std::setw(10) << nextStepTrial << G4endl; |
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547 | G4cout.precision(oldprec); |
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548 | } |
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