1 | #include "softwareParmela.h" |
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2 | #include "abstractElement.h" |
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3 | #include "parmelaParticle.h" |
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4 | #include "mathematicalConstants.h" |
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5 | #include "PhysicalConstants.h" |
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6 | #include "dataManager.h" |
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7 | #include "mixedTools.h" |
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8 | |
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9 | softwareParmela::softwareParmela() : abstractSoftware() |
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10 | { |
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11 | nameOfSoftware_ = nomDeLogiciel("parmela"); |
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12 | } |
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13 | |
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14 | softwareParmela::softwareParmela(string inputFileName,sectionToExecute* sect, dataManager* data) : abstractSoftware(inputFileName, sect, data) |
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15 | { |
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16 | nameOfSoftware_ = nomDeLogiciel("parmela"); |
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17 | registerElement(nomdElements::RFgun,TBoolOk); |
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18 | registerElement(nomdElements::drift,TBoolOk); |
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19 | registerElement(nomdElements::cell,TBoolOk); |
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20 | registerElement(nomdElements::bend,TBoolOk); |
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21 | registerElement(nomdElements::soleno,TBoolOk); |
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22 | registerElement(nomdElements::fit,TBoolIgnore); |
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23 | registerElement(nomdElements::snapshot,TBoolIgnore); |
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24 | } |
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25 | |
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26 | |
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27 | |
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28 | bool softwareParmela::createInputFile(particleBeam* beamBefore, string workingDir) |
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29 | { |
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30 | unsigned int k; |
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31 | |
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32 | // setRelativeParmelaElementIndices(); |
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33 | string name = workingDir + inputFileName_; |
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34 | ofstream outfile; |
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35 | outfile.open(name.c_str(), ios::out); |
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36 | if (!outfile) { |
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37 | dataManager_->consoleMessage(" softwareParmela::createInputFile : error opening output stream " ); |
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38 | cerr << " softwareParmela::createInputFile : error opening output stream " << name << endl; |
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39 | return false; |
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40 | } |
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41 | |
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42 | abstractElement* elPtr = getSectionToExecute()->getElements().front(); |
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43 | double initalKineticEnergy = 0.0; |
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44 | bool there_is_rfgun = (elPtr->getNomdElement().getElementType() == nomdElements::RFgun ); |
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45 | |
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46 | if ( !there_is_rfgun ) { |
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47 | string nameOfInput = workingDir + "parin.input0"; |
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48 | if ( !beamToParmela(nameOfInput,beamBefore) ) return false; |
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49 | initalKineticEnergy = beamBefore->referenceKineticEnergyMeV(); |
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50 | // les elements de parmela sont indexes de 1 Ã max, s'il n'y a pas de rfgun |
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51 | // offsetNumElem_ = numeroDeb_ -1; |
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52 | } else { |
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53 | elPtr->setPhaseStep( dataManager_->getGlobalParameters()->getIntegrationStep() ); |
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54 | initalKineticEnergy = elPtr->getInitialKineticEnergy(); |
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55 | // les elements de parmela sont indexes de 0 Ã max, s'il y a un rfgun |
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56 | } |
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57 | |
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58 | outfile << "TITLE" << endl; |
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59 | outfile << " titre provisoire " << endl; |
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60 | outfile << "RUN /n0=1 /ip=999 /freq=" << dataManager_->getGlobalParameters()->getFrequency() << " /z0=0.0 /W0=" << initalKineticEnergy << " /itype=1" << endl; |
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61 | outfile << "OUTPUT 0" << endl; |
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62 | if ( there_is_rfgun ) { |
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63 | outfile << elementsData(elPtr->parametersToSoftware()); |
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64 | } else { |
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65 | outfile << "INPUT 0 /NP=" << beamBefore->getNbParticles() << endl; |
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66 | } |
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67 | |
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68 | // retrouver le sector !! |
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69 | for ( k =1; k < getSectionToExecute()->getElements().size(); k++) |
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70 | { |
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71 | outfile << elementsData(getSectionToExecute()->getElements()[k]->parametersToSoftware()); |
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72 | } |
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73 | |
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74 | outfile << "ZOUT" << endl; |
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75 | outfile << "START /wt=0.0 /dwt=" << dataManager_->getGlobalParameters()->getIntegrationStep() << " /nsteps=" << dataManager_->getGlobalParameters()->getNbSteps() << " nsc=" << dataManager_->getGlobalParameters()->getScPeriod() << " /nout=10" << endl; |
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76 | outfile << "END" << endl; |
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77 | outfile.close(); |
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78 | dataManager_->consoleMessage("fichier input termine pour PARMELA"); |
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79 | return true; |
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80 | } |
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81 | |
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82 | bool softwareParmela::execute(string workingDir) |
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83 | { |
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84 | bool ExecuteStatus = true; |
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85 | |
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86 | ostringstream sortie; |
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87 | sortie << " EXECUTION DE PARMELA " << endl; |
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88 | |
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89 | string parmelaJob = workingDir + "parmela"; |
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90 | parmelaJob += string(" "); |
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91 | parmelaJob += workingDir; |
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92 | |
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93 | string resultOfRun; |
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94 | bool success = launchJob(parmelaJob,resultOfRun); |
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95 | |
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96 | |
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97 | // sortie << resultOfRun << endl; |
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98 | if ( !success ) { |
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99 | sortie << " launching of parmela failed " << endl; |
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100 | ExecuteStatus = false; |
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101 | } else { |
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102 | sortie << " successful launching of parmela " << endl; |
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103 | cout << " execution parmela MARCHE " << endl; |
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104 | string::size_type nn = (resultOfRun).find("normal"); |
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105 | if ( nn == string::npos ) |
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106 | { |
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107 | sortie << " abnormal exit of parmela " << endl; |
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108 | ExecuteStatus = false; |
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109 | } |
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110 | } |
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111 | |
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112 | dataManager_->consoleMessage(sortie.str()); |
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113 | return ExecuteStatus; |
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114 | } |
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115 | |
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116 | bool softwareParmela::buildBeamAfterElements( string workingDir) |
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117 | { |
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118 | bool result = true; |
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119 | |
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120 | unsigned curseur; |
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121 | for ( unsigned int k=0; k < getSectionToExecute()->getElements().size() ; k++ ) { |
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122 | abstractElement* elem = getSectionToExecute()->getElements()[k]; |
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123 | if ( elem == NULL ) { |
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124 | dataManager_->consoleMessage(" softwareParmela::buildBeamAfterElements : null pointer on element " ); |
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125 | return false; |
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126 | } |
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127 | |
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128 | curseur = k; |
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129 | |
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130 | if (!(doAcceptElement(getSectionToExecute()->getElements()[curseur]->getNomdElement().getElementType()) == TBoolOk)) { |
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131 | // if ( relativeParmelaElementIndices_.at(curseur) < 0 ) { |
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132 | |
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133 | // si l'element doit etre ignore de parmela, on renvoie sur le diag precedent |
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134 | particleBeam* lastDiag = dataManager_->updateCurrentDiagnostic(false); |
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135 | |
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136 | // if(elem->getNomdElement().getElementType() == snapshot) { |
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137 | // // si cet element est un snapshot, on organise la sortie correspondante |
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138 | // string* param = elem->getParametersString(); |
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139 | // string cliche = workingDir + param[2].c_str(); |
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140 | // if( beamToParmela(cliche,lastDiag) ) { |
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141 | // // cout << "[" << k << "] : ecrit sur fichier " << cliche << " le contenu de beam["<<avantDernier<<"]"<<endl; |
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142 | // cout << "[" << k << "] : ecrit sur fichier " << cliche << " le contenu de beam[ ]"<<endl; |
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143 | // } |
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144 | // } |
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145 | // si le numero est reconnu de parmela |
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146 | } else { |
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147 | |
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148 | // on initialise une nouvelle sortie diagnostic |
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149 | particleBeam* newDiag = dataManager_->updateCurrentDiagnostic(true); |
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150 | vector<double> centroid; |
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151 | bareParticle refPart; |
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152 | vector<bareParticle> particles; |
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153 | double freq= dataManager_->getGlobalParameters()->getFrequency(); |
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154 | unsigned numeroParmel; |
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155 | // numeroParmel = (unsigned)relativeParmelaElementIndices_.at(curseur); |
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156 | numeroParmel = curseur; |
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157 | cout << " lecture PARMELA el no absolu " << k << " numero relatif " << numeroParmel << " nom " << elem->getNomdElement().getExpandedName() << endl; |
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158 | // lecture sortie parmela |
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159 | if(!beamFromParmela(workingDir,numeroParmel,freq,centroid,refPart,particles)) |
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160 | { |
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161 | // si echec, fin |
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162 | dataManager_->consoleMessage(" softwareParmela::buildBeamAfterElements : failure in reading parmela result for element " + elem->getLabel() + " for unknown reason " ); |
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163 | return false; |
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164 | } else { |
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165 | // si succes, on complete le diagnostic |
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166 | newDiag->setWithParticles(centroid,refPart,particles); |
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167 | } |
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168 | } |
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169 | } |
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170 | return result; |
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171 | } |
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172 | bool softwareParmela::beamFromParmela(string workingDir,unsigned numeroParmel, double referencefrequency, vector<double>& centroid, bareParticle& refPart,vector<bareParticle>& particles ) |
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173 | { |
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174 | string nomfilefais = workingDir + "parmdesz"; |
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175 | cout << " nom fichier desz : " << nomfilefais << endl; |
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176 | FILE *filefais = fopen(nomfilefais.c_str(), "r"); |
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177 | |
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178 | if ( filefais == (FILE*)0 ) { |
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179 | dataManager_->consoleMessage(" beamFromParmela() erreur a l'ouverture du fichier 'parmdesz'"); |
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180 | cerr << " beamFromParmela() erreur a l'ouverture du fichier" << nomfilefais << endl; |
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181 | return false; |
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182 | } else |
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183 | cout << " beamFromParmela() : ouverture du fichier " << nomfilefais << endl; |
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184 | |
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185 | parmelaParticle partic; |
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186 | std::vector<parmelaParticle> faisceau; |
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187 | int testNombrePartRef =0; |
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188 | double phaseRef = 0.0; |
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189 | |
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190 | while( partic.readFromParmelaFile(filefais) > 0 ) |
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191 | { |
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192 | |
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193 | if ( partic.ne == (int)numeroParmel ) { |
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194 | if ( partic.np == 1 ) { |
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195 | // en principe on est sur la particule de reference |
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196 | if ( fabs(partic.xx) > EPSILON || fabs(partic.yy) > EPSILON || fabs(partic.xxp) > EPSILON || fabs(partic.yyp) > EPSILON) { |
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197 | printf(" ATTENTION part. reference douteuse \n"); |
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198 | partic.imprim(); |
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199 | } |
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200 | phaseRef = partic.phi; |
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201 | |
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202 | // le 'z' est 'absolu' (le long de la trajectoire) |
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203 | TRIDVECTOR posRef(partic.xx,partic.yy,partic.z); |
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204 | TRIDVECTOR betagammaRef(partic.xxp*partic.begamz, partic.yyp*partic.begamz, partic.begamz); |
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205 | refPart = bareParticle(posRef, betagammaRef); |
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206 | testNombrePartRef++; |
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207 | if ( testNombrePartRef != 1 ) { |
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208 | dataManager_->consoleMessage(" beamFromParmela : nombre de part. de ref different de 1 :"); |
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209 | cerr << " nombre de part. de ref different de 1 : " << testNombrePartRef << " !! " << endl; |
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210 | return false; |
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211 | } |
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212 | } |
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213 | faisceau.push_back(partic); |
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214 | } |
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215 | } //while |
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216 | |
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217 | if ( faisceau.size() == 0) |
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218 | { |
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219 | string stringNum = mixedTools::intToString( (int)numeroParmel ); |
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220 | dataManager_->consoleMessage("beamFromParmela echec lecture element numero relatif parmela : " + stringNum); |
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221 | cerr << " beamFromParmela echec lecture element numero relatif parmela " << numeroParmel << endl; |
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222 | return false; |
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223 | } |
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224 | |
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225 | // facteur c/ 360. pour calculer (c dphi) / (360.freq) |
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226 | // avec freq en Mhz et dphi en degres et résultat en cm: |
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227 | double FACTEUR = 83.3333; // ameliorer la precision |
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228 | |
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229 | // pour l'instant on choisit un centroid nul; |
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230 | centroid.clear(); |
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231 | centroid = vector<double>(6,0.0); |
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232 | |
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233 | particles.clear(); |
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234 | particles.resize(faisceau.size(), bareParticle()); |
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235 | // double x,xp,y,yp; |
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236 | double xp, yp; |
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237 | double betagammaz; |
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238 | // double betaz; |
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239 | double cdt; |
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240 | double dephas; |
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241 | double g; |
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242 | TRIDVECTOR pos; |
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243 | TRIDVECTOR betagamma; |
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244 | // contrairement a ce qu'indique la notice PARMELA, dans parmdesz, les xp et yp |
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245 | // sont donnes en radians |
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246 | for (unsigned k = 0; k < faisceau.size(); k++) { |
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247 | // x= faisceau.at(k).xx; |
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248 | xp=faisceau.at(k).xxp; |
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249 | // y= faisceau.at(k).yy; |
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250 | yp=faisceau.at(k).yyp; |
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251 | // dephasage par rapport a la reference |
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252 | dephas = faisceau.at(k).phi - phaseRef; // degrés |
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253 | g = faisceau.at(k).wz/EREST_MeV; |
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254 | betagammaz = faisceau.at(k).begamz; |
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255 | // betaz = betagammaz/(g+1.0); |
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256 | // deltaz = FACTEUR * betaz * dephas / referencefrequency; |
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257 | cdt = FACTEUR * dephas / referencefrequency; |
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258 | // x += xp * deltaz; |
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259 | // y += yp * deltaz; |
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260 | pos.setComponents(faisceau.at(k).xx,faisceau.at(k).yy,cdt); |
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261 | betagamma.setComponents(xp*betagammaz, yp*betagammaz, betagammaz); |
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262 | particles.at(k) = bareParticle(pos,betagamma); |
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263 | } |
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264 | |
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265 | return true; |
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266 | } |
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267 | |
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268 | // sauvegarde d'un 'particleBeam' sur un fichier parmela, en guise d'INPUT |
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269 | // pour l'instant de nom standard 'parin.input0' |
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270 | bool softwareParmela::beamToParmela(string nameOfFile,particleBeam* beam) |
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271 | { |
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272 | if ( !beam->particleRepresentationOk() ) { |
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273 | dataManager_->consoleMessage("softwareParmela::beamToParmela : beam not in particles form : not yet programmed"); |
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274 | cout << " softwareParmela::beamToParmela : beam not in particles form : not yet programmed " << endl; |
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275 | return false; |
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276 | } |
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277 | |
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278 | ofstream outfile; |
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279 | outfile.open(nameOfFile.c_str(),ios::out); |
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280 | if (!outfile) { |
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281 | dataManager_->consoleMessage(" softwareParmela::beamToParmela : error opening output stream "); |
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282 | cerr << " softwareParmela::beamToParmela : error opening output stream " << nameOfFile << endl; |
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283 | return false; |
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284 | } |
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285 | |
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286 | // const vector<bareParticle>& partic = beam->getParticleVector(); |
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287 | double weight = 1.0; |
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288 | double xx,yy,zz; |
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289 | double begamx, begamy, begamz; |
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290 | // TRIDVECTOR pos, begam; |
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291 | double zmin = GRAND; |
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292 | double zmax = -zmin; |
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293 | double cdtmin, cdtmax; |
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294 | beam->ZrangeCdt(cdtmin, cdtmax); |
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295 | cout << " softwareParmela::beamToParmela cdtmin = " << cdtmin << " cdtmax = " << cdtmax << endl; |
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296 | |
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297 | for (unsigned k = 0; k < beam->getNbParticles(); k++) { |
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298 | // partic.at(k).getPosition().getComponents(xx,yy,zz); |
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299 | // partic.at(k).getBetaGamma().getComponents(begamx,begamy,begamz); |
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300 | beam->coordonneesDeployees(k, -cdtmax).getComponents(xx,yy,zz); |
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301 | beam->betaGamma(k).getComponents(begamx,begamy,begamz); |
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302 | if ( zz > zmax) zmax = zz; |
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303 | if ( zz < zmin ) zmin = zz; |
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304 | outfile << xx << " " << begamx << " " << yy << " " << begamy << " " << zz << " " << begamz << " " << weight << endl; |
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305 | } |
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306 | outfile.close(); |
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307 | cout << " softwareParmela::beamToParmela zmn = " << zmin << " zmax = " << zmax << endl; |
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308 | return true; |
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309 | } |
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310 | |
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311 | |
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312 | string softwareParmela::elementsData(const vector< pair<string, vector<string> > >& donnees) const { |
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313 | unsigned k; |
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314 | cout << " PASSAGE softwareParmela::elementsData " << endl; |
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315 | if ( donnees.at(0).first != "labelsGenericSpecific" ) { |
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316 | cout << " softwareParmela::elementsData ERROR : element badly defined " << endl; |
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317 | return string(); |
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318 | } |
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319 | string genericName = donnees.at(0).second.at(0); |
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320 | if ( genericName == "rfgun" ) return rfgunData(donnees); |
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321 | if ( genericName == "cell" ) return cellData(donnees); |
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322 | if ( genericName == "drift" ) return driftData(donnees); |
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323 | if ( genericName == "solnd" ) return solenoData(donnees); |
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324 | if ( genericName == "bend" ) return bendData(donnees); |
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325 | return string(); |
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326 | } |
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327 | |
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328 | string softwareParmela::rfgunData(const vector< pair<string, vector<string> > >& donnees) const { |
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329 | |
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330 | cout << " PASSAGE softwareParmela::rfgunData " << endl; |
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331 | string nmacrop = "0"; |
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332 | string sigma_t = "0.0"; |
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333 | string sigma_r = "0.0"; |
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334 | string E_cin = "0.0"; |
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335 | string sigma_E = "0.0"; |
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336 | string phaseStep = "0.0"; |
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337 | string totalCharge = "0.0"; |
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338 | |
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339 | unsigned k; |
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340 | for ( k=1; k < donnees.size(); k++) { |
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341 | if ( donnees.at(k).first == "nbMacroparticles" ) { |
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342 | nmacrop = donnees.at(k).second.at(0); |
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343 | } else if ( donnees.at(k).first == "sigmasTR" ) { |
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344 | sigma_t = donnees.at(k).second.at(0); |
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345 | sigma_r = donnees.at(k).second.at(1); |
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346 | } else if ( donnees.at(k).first == "kineticE" ) { |
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347 | E_cin = donnees.at(k).second.at(0); |
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348 | sigma_E = donnees.at(k).second.at(1); |
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349 | } else if ( donnees.at(k).first == "phaseStep" ) { |
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350 | phaseStep = donnees.at(k).second.at(0); |
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351 | } else if ( donnees.at(k).first == "totalCharge" ) { |
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352 | totalCharge = donnees.at(k).second.at(0); |
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353 | } |
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354 | } |
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355 | ostringstream sortie; |
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356 | // on prend les troncatures tmax et rmax à 3 sigmas |
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357 | sortie << "INPUT 10 /np=" << nmacrop << " /sigt=" << sigma_t << endl; |
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358 | sortie << " /tmax=" << 3.3*atof(sigma_t.c_str()) << " /sigr=" << sigma_r << endl; |
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359 | sortie << " /rmax=" << 3.0*atof(sigma_r.c_str()) << " /W0=" << E_cin << " /dw0=" << sigma_E << endl; |
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360 | sortie << " /dwt=" << phaseStep << " /ran=2" << endl; |
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361 | |
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362 | // on doit entrer le nb vrai de part. (avec signe moins) |
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363 | sortie << "SCHEFF /beami=" << -fabs( atof(totalCharge.c_str()) )/ELECTRONANOCOULOMB << " /nprog=2 /point=-1.7" << endl; |
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364 | |
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365 | return sortie.str(); |
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366 | } |
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367 | |
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368 | string softwareParmela::cellData(const vector< pair<string, vector<string> > >& donnees) const { |
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369 | cout << " PASSAGE softwareParmela::cellData " << endl; |
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370 | |
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371 | string lenght = "0.0"; |
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372 | string aperture = "0.0"; |
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373 | string initialPhase = "0.0"; |
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374 | string acceleratingField = "0.0"; |
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375 | string phaseStepMax = "0.0"; |
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376 | string acceleratingShapeFile = ""; |
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377 | string focusingMagFile = ""; |
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378 | string offsetMag = "0.0"; |
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379 | string scaleFactor = "0.0"; |
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380 | |
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381 | unsigned k; |
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382 | for ( k=1; k < donnees.size(); k++) { |
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383 | if ( donnees.at(k).first == "lenghtAperture" ) { |
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384 | lenght = donnees.at(k).second.at(0); |
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385 | aperture = donnees.at(k).second.at(1); |
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386 | } else if ( donnees.at(k).first == "phaseInitialStepmax" ) { |
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387 | initialPhase = donnees.at(k).second.at(0); |
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388 | phaseStepMax = donnees.at(k).second.at(1); |
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389 | } else if ( donnees.at(k).first == "fieldValueFile" ) { |
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390 | acceleratingField = donnees.at(k).second.at(0); |
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391 | acceleratingShapeFile = donnees.at(k).second.at(1); |
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392 | } else if ( donnees.at(k).first == "MagFocusingFileOffsetScale") { |
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393 | focusingMagFile = donnees.at(k).second.at(0); |
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394 | offsetMag = donnees.at(k).second.at(1); |
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395 | scaleFactor = donnees.at(k).second.at(2); |
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396 | } |
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397 | } |
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398 | ostringstream sortie; |
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399 | sortie << "CELL /l=" << lenght << " /aper=" << aperture << endl; |
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400 | sortie << " /iout=1 /phi0=" << initialPhase << " /E0=" << acceleratingField << endl; |
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401 | sortie << " /nc=1 /dwtmax=" << phaseStepMax << " /sym=-1" << endl; |
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402 | sortie << "CFIELD 1" << endl; |
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403 | sortie << acceleratingShapeFile << endl; |
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404 | if ( focusingMagFile != "") { |
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405 | sortie << "POISSON /zoff=" << offsetMag << " /rmult=" << scaleFactor << endl; |
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406 | sortie << focusingMagFile << endl; |
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407 | } |
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408 | return sortie.str(); |
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409 | |
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410 | } |
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411 | |
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412 | string softwareParmela::driftData(const vector< pair<string, vector<string> > >& donnees) const { |
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413 | cout << " PASSAGE softwareParmela::driftData " << endl; |
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414 | |
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415 | string lenght = "0.0"; |
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416 | string aperture = "0.0"; |
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417 | |
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418 | unsigned k; |
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419 | for ( k=1; k < donnees.size(); k++) { |
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420 | if ( donnees.at(k).first == "lenghtAperture" ) { |
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421 | lenght = donnees.at(k).second.at(0); |
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422 | aperture = donnees.at(k).second.at(1); |
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423 | } |
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424 | } |
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425 | ostringstream sortie; |
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426 | sortie << "DRIFT /l=" << lenght << " /aper=" << aperture << " /iout=1" << endl; |
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427 | return sortie.str(); |
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428 | } |
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429 | |
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430 | string softwareParmela::solenoData(const vector< pair<string, vector<string> > >& donnees) const { |
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431 | cout << " PASSAGE softwareParmela::solenoData " << endl; |
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432 | string lenght = "0.0"; |
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433 | string aperture = "0.0"; |
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434 | string B0 = "0.0"; |
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435 | |
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436 | unsigned k; |
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437 | for ( k=1; k < donnees.size(); k++) { |
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438 | if ( donnees.at(k).first == "lenghtAperture" ) { |
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439 | lenght = donnees.at(k).second.at(0); |
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440 | aperture = donnees.at(k).second.at(1); |
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441 | } else if ( donnees.at(k).first == "field" ) { |
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442 | B0 = donnees.at(k).second.at(0); |
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443 | } |
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444 | } |
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445 | ostringstream sortie; |
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446 | // on passe l'induction magnetique en Gauss |
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447 | sortie << "SOLENOID /l=" << lenght << " /aper=" << aperture << " /iout=1 /h=" << 1000.*atof(B0.c_str()) << endl; |
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448 | return sortie.str(); |
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449 | |
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450 | } |
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451 | |
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452 | string softwareParmela::bendData(const vector< pair<string, vector<string> > >& donnees) const { |
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453 | cout << " PASSAGE softwareParmela::bendData " << endl; |
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454 | |
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455 | string lenght = "0.0"; |
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456 | string aperture = "0.0"; |
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457 | string angleDeg = "0.0"; |
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458 | string momentum = "0.0"; |
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459 | string beta1 = "0.0"; |
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460 | string beta2 = "0.0"; |
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461 | unsigned k; |
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462 | for ( k=1; k < donnees.size(); k++) { |
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463 | if ( donnees.at(k).first == "lenghtAperture" ) { |
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464 | lenght = donnees.at(k).second.at(0); |
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465 | aperture = donnees.at(k).second.at(1); |
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466 | } else if ( donnees.at(k).first == "angleDegre" ) { |
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467 | angleDeg = donnees.at(k).second.at(0); |
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468 | } else if ( donnees.at(k).first == "momentum" ) { |
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469 | momentum = donnees.at(k).second.at(0); |
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470 | } else if ( donnees.at(k).first == "rotatedFaces" ) { |
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471 | beta1 = donnees.at(k).second.at(0); |
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472 | beta2 = donnees.at(k).second.at(1); |
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473 | } |
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474 | } |
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475 | |
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476 | double ecin = atof(momentum.c_str())/EREST_MeV; |
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477 | ecin = ecin*ecin + 1.; |
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478 | ecin = EREST_MeV*(sqrt(ecin) - 1.0); |
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479 | |
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480 | ostringstream sortie; |
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481 | // il faut entrer l'energie cinetique |
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482 | sortie << "BEND /l=" << lenght << " / aper=" << aperture << " / iout=1 / wr=" << ecin << " /alpha=" << angleDeg << " / beta1=" << beta1; |
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483 | sortie << " / beta2=" << beta2 << endl; |
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484 | |
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485 | return sortie.str(); |
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486 | |
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487 | } |
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