1 | /** \class VertexFinder
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2 | *
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3 | * Cluster vertices from tracks
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4 | *
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5 | * \author M. Selvaggi - UCL, Louvain-la-Neuve
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6 | *
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7 | */
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8 |
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9 |
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10 | #include "modules/VertexFinder.h"
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11 |
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12 | //#include "CLHEP/Units/GlobalSystemOfUnits.h"
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13 | //#include "CLHEP/Units/GlobalPhysicalConstants.h"
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14 |
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15 | #include "classes/DelphesClasses.h"
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16 | #include "classes/DelphesFactory.h"
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17 | #include "classes/DelphesFormula.h"
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18 | #include "classes/DelphesPileUpReader.h"
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19 |
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20 | #include "ExRootAnalysis/ExRootResult.h"
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21 | #include "ExRootAnalysis/ExRootFilter.h"
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22 | #include "ExRootAnalysis/ExRootClassifier.h"
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23 |
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24 | #include "TMath.h"
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25 | #include "TString.h"
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26 | #include "TFormula.h"
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27 | #include "TRandom3.h"
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28 | #include "TObjArray.h"
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29 | #include "TDatabasePDG.h"
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30 | #include "TLorentzVector.h"
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31 | #include "TMatrixT.h"
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32 | #include "TVector3.h"
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33 |
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34 | static const double mm = 1.;
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35 | static const double m = 1000.*mm;
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36 | static const double ns = 1.;
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37 | static const double s = 1.e+9 *ns;
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38 | static const double c_light = 2.99792458e+8 * m/s;
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39 |
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40 | //------------------------------------------------------------------------------
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41 |
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42 | VertexFinder::VertexFinder() :
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43 | fSigma(0), fMinPT(0), fMaxEta(0), fSeedMinPT(0), fMinNDF(0), fGrowSeeds(0)
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44 | {
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45 | }
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46 |
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47 | //------------------------------------------------------------------------------
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48 |
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49 | VertexFinder::~VertexFinder()
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50 | {
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51 | }
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52 |
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53 | //------------------------------------------------------------------------------
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54 |
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55 | void VertexFinder::Init()
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56 | {
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57 | fSigma = GetDouble("Sigma", 3.0);
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58 | fMinPT = GetDouble("MinPT", 0.1);
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59 | fMaxEta = GetDouble("MaxEta", 10.0);
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60 | fSeedMinPT = GetDouble("SeedMinPT", 5.0);
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61 | fMinNDF = GetInt("MinNDF", 4);
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62 | fGrowSeeds = GetInt("GrowSeeds", 1);
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63 |
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64 | fInputArray = ImportArray(GetString("InputArray", "TrackSmearing/tracks"));
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65 | fItInputArray = fInputArray->MakeIterator();
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66 |
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67 | fOutputArray = ExportArray(GetString("OutputArray", "tracks"));
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68 | fVertexOutputArray = ExportArray(GetString("VertexOutputArray", "vertices"));
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69 | }
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70 |
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71 | //------------------------------------------------------------------------------
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72 |
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73 | void VertexFinder::Finish()
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74 | {
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75 | if(fItInputArray) delete fItInputArray;
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76 | }
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77 |
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78 | //------------------------------------------------------------------------------
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79 | //
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80 | bool VertexFinder::secondAscending (pair<unsigned, double> pair0, pair<unsigned, double> pair1)
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81 | {
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82 | return (pair0.second < pair1.second);
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83 | }
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84 |
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85 | bool VertexFinder::secondDescending (pair<unsigned, double> pair0, pair<unsigned, double> pair1)
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86 | {
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87 | return (pair0.second > pair1.second);
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88 | }
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89 |
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90 | void VertexFinder::Process()
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91 | {
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92 | Candidate *candidate;
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93 |
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94 | ////////////////////////////////////////////////////////////////////////////////
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95 | // Clear the track and cluster maps before starting
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96 | ////////////////////////////////////////////////////////////////////////////////
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97 | trackIDToDouble.clear ();
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98 | trackIDToInt.clear ();
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99 | trackIDToBool.clear ();
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100 | clusterIDToDouble.clear ();
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101 | clusterIDToInt.clear ();
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102 | clusterIDToBool.clear ();
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103 | trackPT.clear ();
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104 | clusterSumPT2.clear ();
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105 | ////////////////////////////////////////////////////////////////////////////////
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106 |
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107 | ////////////////////////////////////////////////////////////////////////////////
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108 | // Create the initial cluster seeds
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109 | ////////////////////////////////////////////////////////////////////////////////
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110 | createSeeds ();
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111 | ////////////////////////////////////////////////////////////////////////////////
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112 |
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113 | ////////////////////////////////////////////////////////////////////////////////
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114 | // In order of descending seed pt, grow each cluster. If a cluster ends up with
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115 | // fewer than MinNDF tracks, release the tracks for other clusters to claim.
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116 | ////////////////////////////////////////////////////////////////////////////////
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117 | sort (clusterSumPT2.begin (), clusterSumPT2.end (), secondDescending);
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118 | for (vector<pair<unsigned, double> >::const_iterator cluster = clusterSumPT2.begin (); cluster != clusterSumPT2.end (); cluster++)
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119 | {
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120 | // Skip the cluster if it no longer has any tracks
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121 | if (!clusterIDToInt.at (cluster->first).at ("ndf"))
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122 | continue;
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123 |
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124 | // Grow the cluster if GrowSeeds is true
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125 | if (fGrowSeeds)
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126 | growCluster (cluster->first);
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127 |
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128 | // If the cluster still has fewer than MinNDF tracks, release the tracks;
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129 | // otherwise, mark the seed track as claimed
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130 |
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131 | if ((int) clusterIDToInt.at (cluster->first).at ("ndf") < fMinNDF)
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132 | {
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133 | for (map<unsigned, map<string, int> >::iterator track = trackIDToInt.begin (); track != trackIDToInt.end (); track++)
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134 | {
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135 | if (track->second.at ("clusterIndex") != (int) cluster->first)
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136 | continue;
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137 | track->second["clusterIndex"] = -1;
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138 | trackIDToBool[track->first]["claimed"] = false;
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139 | }
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140 | }
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141 | else
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142 | trackIDToBool[clusterIDToInt.at (cluster->first).at ("seed")]["claimed"] = true;
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143 | }
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144 | ////////////////////////////////////////////////////////////////////////////////
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145 |
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146 | ////////////////////////////////////////////////////////////////////////////////
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147 | // Add tracks to the output array after updating their ClusterIndex.
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148 | ////////////////////////////////////////////////////////////////////////////////
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149 | fItInputArray->Reset ();
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150 | while((candidate = static_cast<Candidate*>(fItInputArray->Next())))
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151 | {
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152 | if (candidate->Momentum.Pt () < fMinPT || fabs (candidate->Momentum.Eta ()) > fMaxEta)
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153 | continue;
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154 | candidate->ClusterIndex = trackIDToInt.at (candidate->GetUniqueID ()).at ("clusterIndex");
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155 | fOutputArray->Add(candidate);
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156 | }
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157 | ////////////////////////////////////////////////////////////////////////////////
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158 |
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159 | ////////////////////////////////////////////////////////////////////////////////
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160 | // Add clusters with at least MinNDF tracks to the output array in order of
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161 | // descending sum(pt**2).
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162 | ////////////////////////////////////////////////////////////////////////////////
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163 | clusterSumPT2.clear ();
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164 | for (map<unsigned, map<string, int> >::const_iterator cluster = clusterIDToInt.begin (); cluster != clusterIDToInt.end (); cluster++)
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165 | {
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166 |
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167 | if (cluster->second.at ("ndf") < fMinNDF)
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168 | continue;
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169 | clusterSumPT2.push_back (make_pair (cluster->first, clusterIDToDouble.at (cluster->first).at ("sumPT2")));
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170 | }
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171 | sort (clusterSumPT2.begin (), clusterSumPT2.end (), secondDescending);
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172 |
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173 | for (vector<pair<unsigned, double> >::const_iterator cluster = clusterSumPT2.begin (); cluster != clusterSumPT2.end (); cluster++)
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174 | {
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175 | DelphesFactory *factory = GetFactory();
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176 | candidate = factory->NewCandidate();
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177 |
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178 | candidate->ClusterIndex = cluster->first;
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179 | candidate->ClusterNDF = clusterIDToInt.at (cluster->first).at ("ndf");
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180 | candidate->ClusterSigma = fSigma;
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181 | candidate->SumPT2 = cluster->second;
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182 | candidate->Position.SetXYZT(0.0, 0.0, clusterIDToDouble.at (cluster->first).at ("z"), 0.0);
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183 | candidate->PositionError.SetXYZT(0.0, 0.0, clusterIDToDouble.at (cluster->first).at ("ez"), 0.0);
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184 |
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185 | fVertexOutputArray->Add(candidate);
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186 | }
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187 | ////////////////////////////////////////////////////////////////////////////////
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188 | }
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189 |
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190 | void
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191 | VertexFinder::createSeeds ()
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192 | {
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193 | Candidate *candidate;
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194 | unsigned clusterIndex = 0, maxSeeds = 0;
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195 |
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196 | ////////////////////////////////////////////////////////////////////////////////
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197 | // Loop over all tracks, initializing some variables.
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198 | ////////////////////////////////////////////////////////////////////////////////
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199 | fItInputArray->Reset();
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200 | while((candidate = static_cast<Candidate*>(fItInputArray->Next())))
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201 | {
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202 | if (candidate->Momentum.Pt () < fMinPT || fabs (candidate->Momentum.Eta ()) > fMaxEta)
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203 | continue;
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204 |
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205 | trackIDToDouble[candidate->GetUniqueID ()]["pt"] = candidate->Momentum.Pt ();
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206 | trackIDToDouble[candidate->GetUniqueID ()]["ept"] = candidate->ErrorPT ? candidate->ErrorPT : 1.0e-15;;
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207 | trackIDToDouble[candidate->GetUniqueID ()]["eta"] = candidate->Momentum.Eta ();
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208 |
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209 | trackIDToDouble[candidate->GetUniqueID ()]["z"] = candidate->DZ;
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210 | trackIDToDouble[candidate->GetUniqueID ()]["ez"] = candidate->ErrorDZ ? candidate->ErrorDZ : 1.0e-15;
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211 |
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212 | trackIDToInt[candidate->GetUniqueID ()]["clusterIndex"] = -1;
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213 | trackIDToInt[candidate->GetUniqueID ()]["interactionIndex"] = candidate->IsPU;
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214 |
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215 | trackIDToBool[candidate->GetUniqueID ()]["claimed"] = false;
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216 |
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217 | trackPT.push_back (make_pair (candidate->GetUniqueID (), candidate->Momentum.Pt ()));
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218 | }
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219 | ////////////////////////////////////////////////////////////////////////////////
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220 |
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221 | ////////////////////////////////////////////////////////////////////////////////
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222 | // Sort tracks by pt and leave only the SeedMinPT highest pt ones in the
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223 | // trackPT vector.
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224 | ////////////////////////////////////////////////////////////////////////////////
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225 | sort (trackPT.begin (), trackPT.end (), secondDescending);
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226 | for (vector<pair<unsigned, double> >::const_iterator track = trackPT.begin (); track != trackPT.end (); track++, maxSeeds++)
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227 | {
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228 | if (track->second < fSeedMinPT)
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229 | break;
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230 | }
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231 | // If there are no tracks with pt above MinSeedPT, create just one seed from
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232 | // the highest pt track.
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233 | if (!maxSeeds)
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234 | maxSeeds++;
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235 | if (trackPT.size () > maxSeeds)
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236 | {
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237 | trackPT.erase (trackPT.begin () + maxSeeds, trackPT.end ());
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238 | }
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239 | ////////////////////////////////////////////////////////////////////////////////
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240 |
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241 | ////////////////////////////////////////////////////////////////////////////////
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242 | // Create the seeds from the SeedMinPT highest pt tracks.
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243 | ////////////////////////////////////////////////////////////////////////////////
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244 | for (vector<pair<unsigned, double> >::const_iterator track = trackPT.begin (); track != trackPT.end (); track++, clusterIndex++)
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245 | {
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246 | addTrackToCluster (track->first, clusterIndex);
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247 | clusterSumPT2.push_back (make_pair (clusterIndex, track->second * track->second));
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248 | }
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249 | ////////////////////////////////////////////////////////////////////////////////
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250 | }
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251 |
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252 | void
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253 | VertexFinder::growCluster (const unsigned clusterIndex)
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254 | {
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255 | bool done = false;
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256 | unsigned nearestID;
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257 | int oldClusterIndex;
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258 | double nearestDistance;
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259 | vector<unsigned> nearTracks;
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260 | nearTracks.clear ();
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261 |
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262 | ////////////////////////////////////////////////////////////////////////////////
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263 | // Grow the cluster until there are no more tracks within Sigma standard
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264 | // deviations of the cluster.
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265 | ////////////////////////////////////////////////////////////////////////////////
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266 | while (!done)
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267 | {
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268 | done = true;
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269 | nearestID = 0;
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270 | nearestDistance = -1.0;
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271 |
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272 | // These two loops are for finding the nearest track to the cluster. The
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273 | // first time, the ID of each track within 10*Sigma of the cluster is
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274 | // saved in the nearTracks vector; subsequently, to save time, only the
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275 | // tracks in this vector are checked.
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276 | if (!nearTracks.size ())
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277 | {
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278 |
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279 | for (map<unsigned, map<string, double> >::const_iterator track = trackIDToDouble.begin (); track != trackIDToDouble.end (); track++)
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280 | {
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281 | if (trackIDToBool.at (track->first).at ("claimed") || trackIDToInt.at (track->first).at ("clusterIndex") == (int) clusterIndex)
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282 | continue;
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283 |
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284 | Double_t sz_tr = track->second.at ("ez") * track->second.at ("z");
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285 | Double_t sz_vt = clusterIDToDouble.at (clusterIndex).at ("ez") * clusterIDToDouble.at (clusterIndex).at ("z");
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286 |
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287 | double distance = fabs (clusterIDToDouble.at (clusterIndex).at ("z") - track->second.at ("z")) / hypot (clusterIDToDouble.at (clusterIndex).at ("ez"), track->second.at ("ez"));
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288 | //double distance = fabs (clusterIDToDouble.at (clusterIndex).at ("z") - track->second.at ("z")) / hypot (sz_vt, sz_tr);
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289 | if (nearestDistance < 0.0 || distance < nearestDistance)
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290 | {
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291 | nearestID = track->first;
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292 | nearestDistance = distance;
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293 | }
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294 | if (distance < 10.0 * fSigma)
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295 | nearTracks.push_back (track->first);
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296 | }
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297 | }
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298 |
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299 | else
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300 | {
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301 | for (vector<unsigned>::const_iterator track = nearTracks.begin (); track != nearTracks.end (); track++)
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302 | {
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303 | if (trackIDToBool.at (*track).at ("claimed") || trackIDToInt.at (*track).at ("clusterIndex") == (int) clusterIndex)
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304 | continue;
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305 | double distance = fabs (clusterIDToDouble.at (clusterIndex).at ("z") - trackIDToDouble.at (*track).at ("z")) / hypot (clusterIDToDouble.at (clusterIndex).at ("ez"), trackIDToDouble.at (*track).at ("ez"));
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306 | if (nearestDistance < 0.0 || distance < nearestDistance)
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307 | {
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308 | nearestID = *track;
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309 | nearestDistance = distance;
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310 | }
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311 | }
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312 | }
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313 |
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314 | // If no tracks within Sigma of the cluster were found, stop growing.
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315 | done = nearestDistance > fSigma || nearestDistance < 0.0;
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316 | if (done)
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317 | {
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318 | continue;
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319 | }
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320 |
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321 | // Add the nearest track within Sigma to the cluster. If it already
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322 | // belonged to another cluster, remove it from that cluster first.
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323 | if (nearestDistance < fSigma)
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324 | {
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325 | oldClusterIndex = trackIDToInt.at (nearestID).at ("clusterIndex");
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326 | if (oldClusterIndex >= 0)
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327 | removeTrackFromCluster (nearestID, oldClusterIndex);
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328 |
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329 | trackIDToBool[nearestID]["claimed"] = true;
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330 | addTrackToCluster (nearestID, clusterIndex);
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331 | }
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332 | }
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333 | ////////////////////////////////////////////////////////////////////////////////
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334 | }
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335 |
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336 | double
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337 | VertexFinder::weight (const unsigned trackID)
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338 | {
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339 | return ((trackIDToDouble.at (trackID).at ("pt") / (trackIDToDouble.at (trackID).at ("ept") * trackIDToDouble.at (trackID).at ("ez"))) * (trackIDToDouble.at (trackID).at ("pt") / (trackIDToDouble.at (trackID).at ("ept") * trackIDToDouble.at (trackID).at ("ez"))));
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340 | }
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341 |
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342 | void
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343 | VertexFinder::removeTrackFromCluster (const unsigned trackID, const unsigned clusterID)
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344 | {
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345 | double wz = weight (trackID);
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346 |
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347 | trackIDToInt[trackID]["clusterIndex"] = -1;
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348 | clusterIDToInt[clusterID]["ndf"]--;
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349 |
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350 | clusterIDToDouble[clusterID]["sumZ"] -= wz * trackIDToDouble.at (trackID).at ("z");
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351 | clusterIDToDouble[clusterID]["errorSumZ"] -= wz * trackIDToDouble.at (trackID).at ("ez") * trackIDToDouble.at (trackID).at ("ez");
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352 | clusterIDToDouble[clusterID]["sumOfWeightsZ"] -= wz;
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353 | clusterIDToDouble[clusterID]["z"] = clusterIDToDouble.at (clusterID).at ("sumZ") / clusterIDToDouble.at (clusterID).at ("sumOfWeightsZ");
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354 | clusterIDToDouble[clusterID]["ez"] = sqrt ((1.0 / clusterIDToInt.at (clusterID).at ("ndf")) * (clusterIDToDouble.at (clusterID).at ("errorSumZ") / clusterIDToDouble.at (clusterID).at ("sumOfWeightsZ")));
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355 | clusterIDToDouble[clusterID]["sumPT2"] -= trackIDToDouble.at (trackID).at ("pt") * trackIDToDouble.at (trackID).at ("pt");
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356 | }
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357 |
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358 | void
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359 | VertexFinder::addTrackToCluster (const unsigned trackID, const unsigned clusterID)
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360 | {
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361 | double wz = weight (trackID);
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362 |
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363 | if (!clusterIDToInt.count (clusterID))
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364 | {
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365 | clusterIDToInt[clusterID]["ndf"] = 0;
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366 | clusterIDToInt[clusterID]["seed"] = trackID;
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367 | clusterIDToDouble[clusterID]["sumZ"] = 0.0;
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368 | clusterIDToDouble[clusterID]["errorSumZ"] = 0.0;
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369 | clusterIDToDouble[clusterID]["sumOfWeightsZ"] = 0.0;
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370 | clusterIDToDouble[clusterID]["sumPT2"] = 0.0;
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371 | }
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372 |
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373 | trackIDToInt[trackID]["clusterIndex"] = clusterID;
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374 | clusterIDToInt[clusterID]["ndf"]++;
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375 |
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376 | clusterIDToDouble[clusterID]["sumZ"] += wz * trackIDToDouble.at (trackID).at ("z");
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377 | clusterIDToDouble[clusterID]["errorSumZ"] += wz * trackIDToDouble.at (trackID).at ("ez") * trackIDToDouble.at (trackID).at ("ez");
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378 | clusterIDToDouble[clusterID]["sumOfWeightsZ"] += wz;
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379 | clusterIDToDouble[clusterID]["z"] = clusterIDToDouble.at (clusterID).at ("sumZ") / clusterIDToDouble.at (clusterID).at ("sumOfWeightsZ");
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380 | clusterIDToDouble[clusterID]["ez"] = sqrt ((1.0 / clusterIDToInt.at (clusterID).at ("ndf")) * (clusterIDToDouble.at (clusterID).at ("errorSumZ") / clusterIDToDouble.at (clusterID).at ("sumOfWeightsZ")));
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381 | clusterIDToDouble[clusterID]["sumPT2"] += trackIDToDouble.at (trackID).at ("pt") * trackIDToDouble.at (trackID).at ("pt");
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382 | }
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383 |
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384 | //------------------------------------------------------------------------------
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