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