MUON/MUONRecoCheck.C

   1 /**************************************************************************
   2 * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
   3 *                                                                        *
   4 * Author: The ALICE Off-line Project.                                    *
   5 * Contributors are mentioned in the code where appropriate.              *
   6 *                                                                        *
   7 * Permission to use, copy, modify and distribute this software and its   *
   8 * documentation strictly for non-commercial purposes is hereby granted   *
   9 * without fee, provided that the above copyright notice appears in all   *
  10 * copies and that both the copyright notice and this permission notice   *
  11 * appear in the supporting documentation. The authors make no claims     *
  12 * about the suitability of this software for any purpose. It is          *
  13 * provided "as is" without express or implied warranty.                  *
  14 **************************************************************************/
  15
  16 // $Id$
  17
  18 /// \ingroup macros
  19 /// \file MUONRecoCheck.C
  20 /// \brief Utility macro to check the muon reconstruction.
  21 ///
  22 /// Reconstructed tracks are compared to reference tracks. The reference tracks
  23 /// are built from AliTrackReference for the hit in chamber (0..9) and from
  24 /// kinematics (TreeK) for the vertex parameters.
  25 ///
  26 /// \author Jean-Pierre Cussonneau, Philippe Pillot, Subatech
  27
  28 // ROOT includes
  29 #include <Riostream.h>
  30 #include "TMath.h"
  31 #include "TObjArray.h"
  32 #include "TH1.h"
  33 #include "TH2.h"
  34 #include "TH3.h"
  35 #include "TGraphErrors.h"
  36 #include "TGraphAsymmErrors.h"
  37 #include "TF1.h"
  38 #include "TFile.h"
  39 #include "TCanvas.h"
  40 #include "TLegend.h"
  41 #include "TGeoManager.h"
  42
  43 // STEER includes
  44 #include "AliCDBManager.h"
  45 #include "AliGeomManager.h"
  46 #include "AliLog.h"
  47
  48 // MUON includes
  49 #include "AliMUONCDB.h"
  50 #include "AliMUONConstants.h"
  51 #include "AliMUONTrack.h"
  52 #include "AliMUONRecoCheck.h"
  53 #include "AliMUONTrackParam.h"
  54 #include "AliMUONRecoParam.h"
  55 #include "AliMUONVTrackStore.h"
  56 #include "AliMUONVCluster.h"
  57 #include "AliMUONTrackExtrap.h"
  58 #include "AliMUONESDInterface.h"
  59 #include "AliMUONVTriggerTrackStore.h"
  60 #include "AliMUONTriggerTrack.h"
  61
  62 Double_t langaufun(Double_t *x, Double_t *par);
  63 void     FitGausResVsMom(TH2* h, Int_t nBins, const Double_t mean0, const Double_t sigma0, const char* fitting, TGraphAsymmErrors* gMean, TGraphAsymmErrors* gSigma);
  64 void     FitPDCAVsMom(TH2* h, Int_t nBins, const char* fitting, TGraphAsymmErrors* gMean, TGraphAsymmErrors* gSigma);
  65 TCanvas* DrawVsAng(const char* name, const char* title, TH1* h1, TH2* h2);
  66 TCanvas* DrawVsPos(const char* name, const char* title, TH2* h1, TH2* h2, TH2* h3);
  67 TCanvas* DrawResMomVsMom(const char* name, const char* title, TH2* h, Int_t nBins, TF1* f2 = 0x0, const char* fitting = "");
  68
  69 //------------------------------------------------------------------------------------
  70 void MUONRecoCheck(Int_t nEvent = -1, const char* pathSim="./generated/", const char* esdFileName="AliESDs.root",
  71                    const char* ocdbPath = "local://$ALICE_ROOT/OCDB", const Double_t pMin = 0., const Double_t pMax = 300.,
  72                    const Int_t pNBins = 30, Int_t absorberRegion = -1)
  73 {
  74   /// Associate the reconstructed tracks with the simulated ones and check the quality of the reconstruction
  75   /// (tracking/trigger efficiency; momentum, slope,... resolutions at first cluster and at vertex; cluster resolution).
  76   /// - You can choose the momentum range and number of bins used to study the track resolution versus momentum.
  77   /// - You can limit the calculation of track resolution at vertex to the tracks crossing the absorber in a given region
  78   /// with the flag "absorberRegion": -1=all, 1=[2,3]deg, 2=[3,10]deg.
  79
  80   Double_t aAbsLimits[2];
  81   if (absorberRegion > -1) {
  82     if (absorberRegion == 1) {
  83       aAbsLimits[0] = 2.;
  84       aAbsLimits[1] = 3.;
  85     } else if (absorberRegion == 2) {
  86       aAbsLimits[0] = 3.;
  87       aAbsLimits[1] = 10.;
  88     } else {
  89       cout<<"Unknown absorber region. Valid choices are: -1=all, 1=[2,3]deg, 2=[3,10]deg"<<endl;
  90       return;
  91     }
  92   } else {
  93     aAbsLimits[0] = 0.;
  94     aAbsLimits[1] = 90.;
  95   }
  96
  97   cout<<endl<<"Momentum range for track resolution studies: "<<pNBins<<" bins in ["<<pMin<<","<<pMax<<"] GeV/c"<<endl;
  98   if (pMin >= pMax || pNBins <= 0) {
  99     cout<<"--> incorrect momentum range"<<endl<<endl;
 100     return;
 101   } else cout<<endl;
 102
 103   AliLog::SetClassDebugLevel("AliMCEvent",-1);
 104
 105   // ###################################### define histograms ###################################### //
 106   // File for histograms and histogram booking
 107   TFile *histoFile = new TFile("MUONRecoCheck.root", "RECREATE");
 108
 109   TH1F *hReconstructible = new TH1F("hReconstructible"," Nb of reconstructible tracks / evt",15,-0.5,14.5);
 110   TH1F *hReco = new TH1F("hReco"," Nb of reconstructed tracks / evt",15,-0.5,14.5);
 111   TH1F *hNClusterComp = new TH1F("hNClusterComp"," Nb of compatible clusters / track ",15,-0.5,14.5);
 112   TH1F *hTrackRefID = new TH1F("hTrackRefID"," track reference ID ",100,-0.5,99.5);
 113   TH1F *hTriggerable = new TH1F("hTriggerable"," Nb of triggerable tracks / evt",15,-0.5,14.5);
 114   TH1F *hTriggered = new TH1F("hTriggered"," Nb of triggered tracks / evt",15,-0.5,14.5);
 115
 116   // momentum resolution at vertex
 117   histoFile->mkdir("momentumAtVertex","momentumAtVertex");
 118   histoFile->cd("momentumAtVertex");
 119
 120   const Double_t pEdges[2] = {pMin, pMax};
 121   const Int_t deltaPAtVtxNBins = 250;
 122   Double_t deltaPAtVtxEdges[2];
 123   if (pMax < 50.) { deltaPAtVtxEdges[0] = -20.; deltaPAtVtxEdges[1] = 5.; }
 124   else { deltaPAtVtxEdges[0] = -35.; deltaPAtVtxEdges[1] = 15.; }
 125
 126   TH1F *hResMomVertex = new TH1F("hResMomVertex"," delta P at vertex;#Delta_{p} (GeV/c)",deltaPAtVtxNBins,deltaPAtVtxEdges[0],deltaPAtVtxEdges[1]);
 127
 128   TH2D *hResMomVertexVsMom = new TH2D("hResMomVertexVsMom","#Delta_{p} at vertex versus p;p (GeV/c);#Delta_{p} (GeV/c)",2*pNBins,pEdges[0],pEdges[1],deltaPAtVtxNBins,deltaPAtVtxEdges[0],deltaPAtVtxEdges[1]);
 129   TH2D *hResMomVertexVsMom_2_3_Deg = new TH2D("hResMomVertexVsMom_2_3_Deg","#Delta_{p} at vertex versus p for tracks between 2 and 3 degrees at absorber end;p (GeV/c);#Delta_{p} (GeV/c)",2*pNBins,pEdges[0],pEdges[1],deltaPAtVtxNBins,deltaPAtVtxEdges[0],deltaPAtVtxEdges[1]);
 130   TH2D *hResMomVertexVsMom_3_10_Deg = new TH2D("hResMomVertexVsMom_3_10_Deg","#Delta_{p} at vertex versus p for tracks between 3 and 10 degrees at absorber end;p (GeV/c);#Delta_{p} (GeV/c)",2*pNBins,pEdges[0],pEdges[1],deltaPAtVtxNBins,deltaPAtVtxEdges[0],deltaPAtVtxEdges[1]);
 131   TH2D *hResMomVertexVsMom_0_2_DegMC = new TH2D("hResMomVertexVsMom_0_2_DegMC","#Delta_{p} at vertex versus p for tracks with MC angle below 2 degrees;p (GeV/c);#Delta_{p} (GeV/c)",2*pNBins,pEdges[0],pEdges[1],deltaPAtVtxNBins/10,deltaPAtVtxEdges[0],deltaPAtVtxEdges[1]);
 132
 133   TH2D *hResMomVertexVsPosAbsEnd_0_2_DegMC = new TH2D("hResMomVertexVsPosAbsEnd_0_2_DegMC","#Delta_{p} at vertex versus track position at absorber end for tracks with MC angle < 2 degrees;position (cm);#Delta_{p} (GeV/c)",1000,0.,100.,deltaPAtVtxNBins,deltaPAtVtxEdges[0],deltaPAtVtxEdges[1]);
 134   TH2D *hResMomVertexVsPosAbsEnd_2_3_DegMC = new TH2D("hResMomVertexVsPosAbsEnd_2_3_DegMC","#Delta_{p} at vertex versus track position at absorber end for tracks with MC angle in [2,3[ degrees;position (cm);#Delta_{p} (GeV/c)",1000,0.,100.,deltaPAtVtxNBins,deltaPAtVtxEdges[0],deltaPAtVtxEdges[1]);
 135   TH2D *hResMomVertexVsPosAbsEnd_3_10_DegMC = new TH2D("hResMomVertexVsPosAbsEnd_3_10_DegMC","#Delta_{p} at vertex versus track position at absorber end for tracks with MC angle in [3,10[ degrees;position (cm);#Delta_{p} (GeV/c)",1000,0.,100.,deltaPAtVtxNBins,deltaPAtVtxEdges[0],deltaPAtVtxEdges[1]);
 136
 137   TH2D *hResMomVertexVsAngle = new TH2D("hResMomVertexVsAngle","#Delta_{p} at vertex versus track position at absorber end converted to degrees;angle (Deg);#Delta_{p} (GeV/c)",10,0.,10.,deltaPAtVtxNBins,deltaPAtVtxEdges[0],deltaPAtVtxEdges[1]);
 138   TH2D *hResMomVertexVsMCAngle = new TH2D("hResMomVertexVsMCAngle","#Delta_{p} at vertex versus MC angle;MC angle (Deg);#Delta_{p} (GeV/c)",10,0.,10.,deltaPAtVtxNBins,deltaPAtVtxEdges[0],deltaPAtVtxEdges[1]);
 139   TH3D *hResMomVertexVsAngleVsMom = new TH3D("hResMomVertexVsAngleVsMom","#Delta_{p} at vertex versus track position at absorber end converted to degrees versus momentum;p (GeV/c);angle (Deg);#Delta_{p} (GeV/c)",2*pNBins,pEdges[0],pEdges[1],100,0.,10.,deltaPAtVtxNBins,deltaPAtVtxEdges[0],deltaPAtVtxEdges[1]);
 140
 141   TGraphAsymmErrors* gMeanResMomVertexVsMom = new TGraphAsymmErrors(pNBins);
 142   gMeanResMomVertexVsMom->SetName("gMeanResMomVertexVsMom");
 143   gMeanResMomVertexVsMom->SetTitle("<#Delta_{p}> at vertex versus p;p (GeV/c);<#Delta_{p}> (GeV/c)");
 144   TGraphAsymmErrors* gMostProbResMomVertexVsMom = new TGraphAsymmErrors(pNBins);
 145   gMostProbResMomVertexVsMom->SetName("gMostProbResMomVertexVsMom");
 146   gMostProbResMomVertexVsMom->SetTitle("Most probable #Delta_{p} at vertex versus p;p (GeV/c);Most prob. #Delta_{p} (GeV/c)");
 147   TGraphAsymmErrors* gSigmaResMomVertexVsMom = new TGraphAsymmErrors(pNBins);
 148   gSigmaResMomVertexVsMom->SetName("gSigmaResMomVertexVsMom");
 149   gSigmaResMomVertexVsMom->SetTitle("#sigma_{p}/p at vertex versus p;p (GeV/c);#sigma_{p}/p (%)");
 150
 151   // momentum resolution at first cluster
 152   histoFile->mkdir("momentumAtFirstCluster","momentumAtFirstCluster");
 153   histoFile->cd("momentumAtFirstCluster");
 154
 155   const Int_t deltaPAtFirstClNBins = 500;
 156   Double_t deltaPAtFirstClEdges[2];
 157   if (pMax < 25.) { deltaPAtFirstClEdges[0] = -5.; deltaPAtFirstClEdges[1] = 5.; }
 158   else if (pMax < 50.) { deltaPAtFirstClEdges[0] = -10.; deltaPAtFirstClEdges[1] = 10.; }
 159   else { deltaPAtFirstClEdges[0] = -25.; deltaPAtFirstClEdges[1] = 25.; }
 160
 161   TH1F *hResMomFirstCluster = new TH1F("hResMomFirstCluster"," delta P at first cluster;#Delta_{p} (GeV/c)",deltaPAtFirstClNBins,deltaPAtFirstClEdges[0],deltaPAtFirstClEdges[1]);
 162   TH2D *hResMomFirstClusterVsMom = new TH2D("hResMomFirstClusterVsMom","#Delta_{p} at first cluster versus p;p (GeV/c);#Delta_{p} (GeV/c)",2*pNBins,pEdges[0],pEdges[1],deltaPAtFirstClNBins,deltaPAtFirstClEdges[0],deltaPAtFirstClEdges[1]);
 163
 164   TGraphAsymmErrors* gMeanResMomFirstClusterVsMom = new TGraphAsymmErrors(pNBins);
 165   gMeanResMomFirstClusterVsMom->SetName("gMeanResMomFirstClusterVsMom");
 166   gMeanResMomFirstClusterVsMom->SetTitle("<#Delta_{p}> at first cluster versus p;p (GeV/c);<#Delta_{p}> (GeV/c)");
 167   TGraphAsymmErrors* gSigmaResMomFirstClusterVsMom = new TGraphAsymmErrors(pNBins);
 168   gSigmaResMomFirstClusterVsMom->SetName("gSigmaResMomFirstClusterVsMom");
 169   gSigmaResMomFirstClusterVsMom->SetTitle("#sigma_{p}/p at first cluster versus p;p (GeV/c);#sigma_{p}/p (%)");
 170
 171   // angular resolution at vertex
 172   histoFile->mkdir("slopesAtVertex","slopesAtVertex");
 173   histoFile->cd("slopesAtVertex");
 174
 175   const Int_t deltaSlopeAtVtxNBins = 500;
 176   const Double_t deltaSlopeAtVtxEdges[2] = {-0.05, 0.05};
 177
 178   TH1F *hResSlopeXVertex = new TH1F("hResSlopeXVertex","#Delta_{slope_{X}} at vertex;#Delta_{slope_{X}}", deltaSlopeAtVtxNBins, deltaSlopeAtVtxEdges[0], deltaSlopeAtVtxEdges[1]);
 179   TH1F *hResSlopeYVertex = new TH1F("hResSlopeYVertex","#Delta_{slope_{Y}} at vertex;#Delta_{slope_{Y}}", deltaSlopeAtVtxNBins, deltaSlopeAtVtxEdges[0], deltaSlopeAtVtxEdges[1]);
 180   TH2D *hResSlopeXVertexVsMom = new TH2D("hResSlopeXVertexVsMom","#Delta_{slope_{X}} at vertex versus p;p (GeV/c);#Delta_{slope_{X}}",2*pNBins,pEdges[0],pEdges[1], deltaSlopeAtVtxNBins, deltaSlopeAtVtxEdges[0], deltaSlopeAtVtxEdges[1]);
 181   TH2D *hResSlopeYVertexVsMom = new TH2D("hResSlopeYVertexVsMom","#Delta_{slope_{Y}} at vertex versus p;p (GeV/c);#Delta_{slope_{Y}}",2*pNBins,pEdges[0],pEdges[1], deltaSlopeAtVtxNBins, deltaSlopeAtVtxEdges[0], deltaSlopeAtVtxEdges[1]);
 182
 183   TH2D *hResSlopeXVertexVsPosAbsEnd_0_2_DegMC = new TH2D("hResSlopeXVertexVsPosAbsEnd_0_2_DegMC","#Delta_{slope_{X}} at vertex versus track position at absorber end for tracks with MC angle < 2 degrees;position (cm);#Delta_{slope_{X}}",1000,0.,100.,deltaSlopeAtVtxNBins, deltaSlopeAtVtxEdges[0], deltaSlopeAtVtxEdges[1]);
 184   TH2D *hResSlopeYVertexVsPosAbsEnd_0_2_DegMC = new TH2D("hResSlopeYVertexVsPosAbsEnd_0_2_DegMC","#Delta_{slope_{Y}} at vertex versus track position at absorber end for tracks with MC angle < 2 degrees;position (cm);#Delta_{slope_{Y}}",1000,0.,100.,deltaSlopeAtVtxNBins, deltaSlopeAtVtxEdges[0], deltaSlopeAtVtxEdges[1]);
 185   TH2D *hResSlopeXVertexVsPosAbsEnd_2_3_DegMC = new TH2D("hResSlopeXVertexVsPosAbsEnd_2_3_DegMC","#Delta_{slope_{X}} at vertex versus track position at absorber end for tracks with MC angle in [2,3[ degrees;position (cm);#Delta_{slope_{X}}",1000,0.,100.,deltaSlopeAtVtxNBins, deltaSlopeAtVtxEdges[0], deltaSlopeAtVtxEdges[1]);
 186   TH2D *hResSlopeYVertexVsPosAbsEnd_2_3_DegMC = new TH2D("hResSlopeYVertexVsPosAbsEnd_2_3_DegMC","#Delta_{slope_{Y}} at vertex versus track position at absorber end for tracks with MC angle in [2,3[ degrees;position (cm);#Delta_{slope_{Y}}",1000,0.,100.,deltaSlopeAtVtxNBins, deltaSlopeAtVtxEdges[0], deltaSlopeAtVtxEdges[1]);
 187   TH2D *hResSlopeXVertexVsPosAbsEnd_3_10_DegMC = new TH2D("hResSlopeXVertexVsPosAbsEnd_3_10_DegMC","#Delta_{slope_{X}} at vertex versus track position at absorber end for tracks with MC angle in [3,10[ degrees;position (cm);#Delta_{slope_{X}}",1000,0.,100.,deltaSlopeAtVtxNBins, deltaSlopeAtVtxEdges[0], deltaSlopeAtVtxEdges[1]);
 188   TH2D *hResSlopeYVertexVsPosAbsEnd_3_10_DegMC = new TH2D("hResSlopeYVertexVsPosAbsEnd_3_10_DegMC","#Delta_{slope_{Y}} at vertex versus track position at absorber end for tracks with MC angle in [3,10[ degrees;position (cm);#Delta_{slope_{Y}}",1000,0.,100.,deltaSlopeAtVtxNBins, deltaSlopeAtVtxEdges[0], deltaSlopeAtVtxEdges[1]);
 189
 190   TH2D *hResSlopeXVertexVsAngle = new TH2D("hResSlopeXVertexVsAngle","#Delta_{slope_{X}} at vertex versus track position at absorber end converted to degrees;angle (Deg);#Delta_{slope_{X}}",10,0.,10.,deltaSlopeAtVtxNBins, deltaSlopeAtVtxEdges[0], deltaSlopeAtVtxEdges[1]);
 191   TH2D *hResSlopeYVertexVsAngle = new TH2D("hResSlopeYVertexVsAngle","#Delta_{slope_{Y}} at vertex versus track position at absorber end converted to degrees;angle (Deg);#Delta_{slope_{Y}}",10,0.,10.,deltaSlopeAtVtxNBins, deltaSlopeAtVtxEdges[0], deltaSlopeAtVtxEdges[1]);
 192   TH2D *hResSlopeXVertexVsMCAngle = new TH2D("hResSlopeXVertexVsMCAngle","#Delta_{slope_{X}} at vertex versus MC angle;MC angle (Deg);#Delta_{slope_{X}}",10,0.,10.,deltaSlopeAtVtxNBins, deltaSlopeAtVtxEdges[0], deltaSlopeAtVtxEdges[1]);
 193   TH2D *hResSlopeYVertexVsMCAngle = new TH2D("hResSlopeYVertexVsMCAngle","#Delta_{slope_{Y}} at vertex versus MC angle;MC angle (Deg);#Delta_{slope_{Y}}",10,0.,10.,deltaSlopeAtVtxNBins, deltaSlopeAtVtxEdges[0], deltaSlopeAtVtxEdges[1]);
 194
 195   TGraphAsymmErrors* gMeanResSlopeXVertexVsMom = new TGraphAsymmErrors(pNBins);
 196   gMeanResSlopeXVertexVsMom->SetName("gMeanResSlopeXVertexVsMom");
 197   gMeanResSlopeXVertexVsMom->SetTitle("<#Delta_{slope_{X}}> at vertex versus p;p (GeV/c);<#Delta_{slope_{X}}>");
 198   TGraphAsymmErrors* gSigmaResSlopeXVertexVsMom = new TGraphAsymmErrors(pNBins);
 199   gSigmaResSlopeXVertexVsMom->SetName("gSigmaResSlopeXVertexVsMom");
 200   gSigmaResSlopeXVertexVsMom->SetTitle("#sigma_{slope_{X}} at vertex versus p;p (GeV/c);#sigma_{slope_{X}}");
 201   TGraphAsymmErrors* gMeanResSlopeYVertexVsMom = new TGraphAsymmErrors(pNBins);
 202   gMeanResSlopeYVertexVsMom->SetName("gMeanResSlopeYVertexVsMom");
 203   gMeanResSlopeYVertexVsMom->SetTitle("<#Delta_{slope_{Y}}> at vertex versus p;p (GeV/c);<#Delta_{slope_{Y}}>");
 204   TGraphAsymmErrors* gSigmaResSlopeYVertexVsMom = new TGraphAsymmErrors(pNBins);
 205   gSigmaResSlopeYVertexVsMom->SetName("gSigmaResSlopeYVertexVsMom");
 206   gSigmaResSlopeYVertexVsMom->SetTitle("#sigma_{slope_{Y}} at vertex versus p;p (GeV/c);#sigma_{slope_{Y}}");
 207
 208   // angular resolution at first cluster
 209   histoFile->mkdir("slopesAtFirstCluster","slopesAtFirstCluster");
 210   histoFile->cd("slopesAtFirstCluster");
 211
 212   const Int_t deltaSlopeAtFirstClNBins = 500;
 213   const Double_t deltaSlopeAtFirstClEdges[2] = {-0.01, 0.01};
 214
 215   TH1F *hResSlopeXFirstCluster = new TH1F("hResSlopeXFirstCluster","#Delta_{slope_{X}} at first cluster;#Delta_{slope_{X}}", deltaSlopeAtFirstClNBins, deltaSlopeAtFirstClEdges[0], deltaSlopeAtFirstClEdges[1]);
 216   TH2D *hResSlopeXFirstClusterVsMom = new TH2D("hResSlopeXFirstClusterVsMom","#Delta_{slope_{X}} at first cluster versus p;p (GeV/c);#Delta_{slope_{X}}",2*pNBins,pEdges[0],pEdges[1], deltaSlopeAtFirstClNBins, deltaSlopeAtFirstClEdges[0], deltaSlopeAtFirstClEdges[1]);
 217   TH1F *hResSlopeYFirstCluster = new TH1F("hResSlopeYFirstCluster","#Delta_{slope_{Y}} at first cluster;#Delta_{slope_{Y}}", deltaSlopeAtFirstClNBins, deltaSlopeAtFirstClEdges[0], deltaSlopeAtFirstClEdges[1]);
 218   TH2D *hResSlopeYFirstClusterVsMom = new TH2D("hResSlopeYFirstClusterVsMom","#Delta_{slope_{Y}} at first cluster versus p;p (GeV/c);#Delta_{slope_{Y}}",2*pNBins,pEdges[0],pEdges[1], deltaSlopeAtFirstClNBins, deltaSlopeAtFirstClEdges[0], deltaSlopeAtFirstClEdges[1]);
 219
 220   TGraphAsymmErrors* gMeanResSlopeXFirstClusterVsMom = new TGraphAsymmErrors(pNBins);
 221   gMeanResSlopeXFirstClusterVsMom->SetName("gMeanResSlopeXFirstClusterVsMom");
 222   gMeanResSlopeXFirstClusterVsMom->SetTitle("<#Delta_{slope_{X}}> at first cluster versus p;p (GeV/c);<#Delta_{slope_{X}}>");
 223   TGraphAsymmErrors* gSigmaResSlopeXFirstClusterVsMom = new TGraphAsymmErrors(pNBins);
 224   gSigmaResSlopeXFirstClusterVsMom->SetName("gSigmaResSlopeXFirstClusterVsMom");
 225   gSigmaResSlopeXFirstClusterVsMom->SetTitle("#sigma_{slope_{X}} at first cluster versus p;p (GeV/c);#sigma_{slope_{X}}");
 226   TGraphAsymmErrors* gMeanResSlopeYFirstClusterVsMom = new TGraphAsymmErrors(pNBins);
 227   gMeanResSlopeYFirstClusterVsMom->SetName("gMeanResSlopeYFirstClusterVsMom");
 228   gMeanResSlopeYFirstClusterVsMom->SetTitle("<#Delta_{slope_{Y}}> at first cluster versus p;p (GeV/c);<#Delta_{slope_{Y}}>");
 229   TGraphAsymmErrors* gSigmaResSlopeYFirstClusterVsMom = new TGraphAsymmErrors(pNBins);
 230   gSigmaResSlopeYFirstClusterVsMom->SetName("gSigmaResSlopeYFirstClusterVsMom");
 231   gSigmaResSlopeYFirstClusterVsMom->SetTitle("#sigma_{slope_{Y}} at first cluster versus p;p (GeV/c);#sigma_{slope_{Y}}");
 232
 233   // DCA resolution and MCS angular dispersion
 234   histoFile->mkdir("DCA","DCA");
 235   histoFile->cd("DCA");
 236
 237   const Int_t deltaPDCANBins = 500;
 238   const Double_t deltaPDCAEdges[2] = {0., 1000.};
 239   const Double_t deltaPMCSAngEdges[2] = {-1.5, 1.5};
 240
 241   TH1F *hPDCA = new TH1F("hPDCA","p #times DCA at vertex;p #times DCA (GeV #times cm)", deltaPDCANBins, deltaPDCAEdges[0], deltaPDCAEdges[1]);
 242   TH2D *hPDCAVsMom_2_3_Deg = new TH2D("hPDCAVsMom_2_3_Deg","p #times DCA versus p for tracks within [2,3[ degrees at absorber end;p (GeV/c);p #times DCA (GeV #times cm)",2*pNBins,pEdges[0],pEdges[1], deltaPDCANBins, deltaPDCAEdges[0], deltaPDCAEdges[1]);
 243   TH2D *hPDCAVsMom_3_10_Deg = new TH2D("hPDCAVsMom_3_10_Deg","p #times DCA versus p for tracks within [3,10[ degrees at absorber end;p (GeV/c);p #times DCA (GeV #times cm)",2*pNBins,pEdges[0],pEdges[1], deltaPDCANBins, deltaPDCAEdges[0], deltaPDCAEdges[1]);
 244   TH2D *hPMCSAngVsMom_2_3_Deg = new TH2D("hPMCSAngVsMom_2_3_Deg","p #times #Delta#theta_{MCS} versus p for tracks within [2,3[ degrees at absorber end;p (GeV/c);p #times #Delta#theta_{MCS} (GeV)",2*pNBins,pEdges[0],pEdges[1], deltaPDCANBins, deltaPMCSAngEdges[0], deltaPMCSAngEdges[1]);
 245   TH2D *hPMCSAngVsMom_3_10_Deg = new TH2D("hPMCSAngVsMom_3_10_Deg","p #times #Delta#theta_{MCS} versus p for tracks within [2,3[ degrees at absorber end;p (GeV/c);p #times #Delta#theta_{MCS} (GeV)",2*pNBins,pEdges[0],pEdges[1], deltaPDCANBins, deltaPMCSAngEdges[0], deltaPMCSAngEdges[1]);
 246
 247   TH2D *hPDCAVsPosAbsEnd_0_2_DegMC = new TH2D("hPDCAVsPosAbsEnd_0_2_DegMC","p #times DCA versus track position at absorber end for tracks with MC angle < 2 degrees;position (cm);p #times DCA (GeV #times cm)",1000,0.,100.,deltaPDCANBins, deltaPDCAEdges[0], deltaPDCAEdges[1]);
 248   TH2D *hPDCAVsPosAbsEnd_2_3_DegMC = new TH2D("hPDCAVsPosAbsEnd_2_3_DegMC","p #times DCA}versus track position at absorber end for tracks with MC angle in [2,3[ degrees;position (cm);p #times DCA (GeV #times cm)",1000,0.,100.,deltaPDCANBins, deltaPDCAEdges[0], deltaPDCAEdges[1]);
 249   TH2D *hPDCAVsPosAbsEnd_3_10_DegMC = new TH2D("hPDCAVsPosAbsEnd_3_10_DegMC","p #times DCA versus track position at absorber end for tracks with MC angle in [3,10[ degrees;position (cm);p #times DCA (GeV #times cm)",1000,0.,100.,deltaPDCANBins, deltaPDCAEdges[0], deltaPDCAEdges[1]);
 250
 251   TH2D *hPDCAVsAngle = new TH2D("hPDCAVsAngle","p #times DCA versus track position at absorber end converted to degrees;angle (Deg);p #times DCA (GeV #times cm)",10,0.,10.,deltaPDCANBins, deltaPDCAEdges[0], deltaPDCAEdges[1]);
 252   TH2D *hPDCAVsMCAngle = new TH2D("hPDCAVsMCAngle","p #times DCA versus MC angle;MC angle (Deg);p #times DCA (GeV #times cm)",10,0.,10.,deltaPDCANBins, deltaPDCAEdges[0], deltaPDCAEdges[1]);
 253
 254   TGraphAsymmErrors* gMeanPDCAVsMom_2_3_Deg = new TGraphAsymmErrors(pNBins);
 255   gMeanPDCAVsMom_2_3_Deg->SetName("gMeanPDCAVsMom_2_3_Deg");
 256   gMeanPDCAVsMom_2_3_Deg->SetTitle("<p #times DCA> versus p for tracks within [2,3[ degrees at absorber end;p (GeV/c);<p #times DCA> (GeV #times cm)");
 257   TGraphAsymmErrors* gSigmaPDCAVsMom_2_3_Deg = new TGraphAsymmErrors(pNBins);
 258   gSigmaPDCAVsMom_2_3_Deg->SetName("gSigmaPDCAVsMom_2_3_Deg");
 259   gSigmaPDCAVsMom_2_3_Deg->SetTitle("#sigma_{p #times DCA} versus p for tracks within [2,3[ degrees at absorber end;p (GeV/c);#sigma_{p #times DCA} (GeV #times cm)");
 260   TGraphAsymmErrors* gMeanPDCAVsMom_3_10_Deg = new TGraphAsymmErrors(pNBins);
 261   gMeanPDCAVsMom_3_10_Deg->SetName("gMeanPDCAVsMom_3_10_Deg");
 262   gMeanPDCAVsMom_3_10_Deg->SetTitle("<p #times DCA> versus p for tracks within [3,10[ degrees at absorber end;p (GeV/c);<p #times DCA> (GeV #times cm)");
 263   TGraphAsymmErrors* gSigmaPDCAVsMom_3_10_Deg = new TGraphAsymmErrors(pNBins);
 264   gSigmaPDCAVsMom_3_10_Deg->SetName("gSigmaPDCAVsMom_3_10_Deg");
 265   gSigmaPDCAVsMom_3_10_Deg->SetTitle("#sigma_{p #times DCA} versus p for tracks within [3,10[ degrees at absorber end;p (GeV/c);#sigma_{p #times DCA} (GeV #times cm)");
 266   TGraphAsymmErrors* gMeanPMCSAngVsMom_2_3_Deg = new TGraphAsymmErrors(pNBins);
 267   gMeanPMCSAngVsMom_2_3_Deg->SetName("gMeanPMCSAngVsMom_2_3_Deg");
 268   gMeanPMCSAngVsMom_2_3_Deg->SetTitle("<p #times #Delta#theta_{MCS}> versus p for tracks within [2,3[ degrees at absorber end;p (GeV/c);<p #times #Delta#theta_{MCS}> (GeV)");
 269   TGraphAsymmErrors* gSigmaPMCSAngVsMom_2_3_Deg = new TGraphAsymmErrors(pNBins);
 270   gSigmaPMCSAngVsMom_2_3_Deg->SetName("gSigmaPMCSAngVsMom_2_3_Deg");
 271   gSigmaPMCSAngVsMom_2_3_Deg->SetTitle("#sigma_{p #times #Delta#theta_{MCS}} versus p for tracks within [2,3[ degrees at absorber end;p (GeV/c);#sigma_{p #times #Delta#theta_{MCS}} (GeV)");
 272   TGraphAsymmErrors* gMeanPMCSAngVsMom_3_10_Deg = new TGraphAsymmErrors(pNBins);
 273   gMeanPMCSAngVsMom_3_10_Deg->SetName("gMeanPMCSAngVsMom_3_10_Deg");
 274   gMeanPMCSAngVsMom_3_10_Deg->SetTitle("<p #times #Delta#theta_{MCS}> versus p for tracks within [3,10[ degrees at absorber end;p (GeV/c);<p #times #Delta#theta_{MCS}> (GeV)");
 275   TGraphAsymmErrors* gSigmaPMCSAngVsMom_3_10_Deg = new TGraphAsymmErrors(pNBins);
 276   gSigmaPMCSAngVsMom_3_10_Deg->SetName("gSigmaPMCSAngVsMom_3_10_Deg");
 277   gSigmaPMCSAngVsMom_3_10_Deg->SetTitle("#sigma_{p #times #Delta#theta_{MCS}} versus p for tracks within [3,10[ degrees at absorber end;p (GeV/c);#sigma_{p #times #Delta#theta_{MCS}} (GeV)");
 278
 279   // eta resolution at vertex
 280   histoFile->mkdir("etaAtVertex","etaAtVertex");
 281   histoFile->cd("etaAtVertex");
 282
 283   const Int_t deltaEtaAtVtxNBins = 500;
 284   const Double_t deltaEtaAtVtxEdges[2] = {-0.5, 0.5};
 285
 286   TH1F *hResEtaVertex = new TH1F("hResEtaVertex","#Delta_{eta} at vertex;#Delta_{eta}", deltaEtaAtVtxNBins, deltaEtaAtVtxEdges[0], deltaEtaAtVtxEdges[1]);
 287   TH2D *hResEtaVertexVsMom = new TH2D("hResEtaVertexVsMom","#Delta_{eta} at vertex versus p;p (GeV/c);#Delta_{eta}",2*pNBins,pEdges[0],pEdges[1], deltaEtaAtVtxNBins, deltaEtaAtVtxEdges[0], deltaEtaAtVtxEdges[1]);
 288
 289   TH2D *hResEtaVertexVsPosAbsEnd_0_2_DegMC = new TH2D("hResEtaVertexVsPosAbsEnd_0_2_DegMC","#Delta_{eta} at vertex versus track position at absorber end for tracks with MC angle < 2 degrees;position (cm);#Delta_{eta}",1000,0.,100.,deltaEtaAtVtxNBins, deltaEtaAtVtxEdges[0], deltaEtaAtVtxEdges[1]);
 290   TH2D *hResEtaVertexVsPosAbsEnd_2_3_DegMC = new TH2D("hResEtaVertexVsPosAbsEnd_2_3_DegMC","#Delta_{eta} at vertex versus track position at absorber end for tracks with MC angle in [2,3[ degrees;position (cm);#Delta_{eta}",1000,0.,100.,deltaEtaAtVtxNBins, deltaEtaAtVtxEdges[0], deltaEtaAtVtxEdges[1]);
 291   TH2D *hResEtaVertexVsPosAbsEnd_3_10_DegMC = new TH2D("hResEtaVertexVsPosAbsEnd_3_10_DegMC","#Delta_{eta} at vertex versus track position at absorber end for tracks with MC angle in [3,10[ degrees;position (cm);#Delta_{eta}",1000,0.,100.,deltaEtaAtVtxNBins, deltaEtaAtVtxEdges[0], deltaEtaAtVtxEdges[1]);
 292
 293   TH2D *hResEtaVertexVsAngle = new TH2D("hResEtaVertexVsAngle","#Delta_{eta} at vertex versus track position at absorber end converted to degrees;angle (Deg);#Delta_{eta}",10,0.,10.,deltaEtaAtVtxNBins, deltaEtaAtVtxEdges[0], deltaEtaAtVtxEdges[1]);
 294   TH2D *hResEtaVertexVsMCAngle = new TH2D("hResEtaVertexVsMCAngle","#Delta_{eta} at vertex versus MC angle;MC angle (Deg);#Delta_{eta}",10,0.,10.,deltaEtaAtVtxNBins, deltaEtaAtVtxEdges[0], deltaEtaAtVtxEdges[1]);
 295
 296   TGraphAsymmErrors* gMeanResEtaVertexVsMom = new TGraphAsymmErrors(pNBins);
 297   gMeanResEtaVertexVsMom->SetName("gMeanResEtaVertexVsMom");
 298   gMeanResEtaVertexVsMom->SetTitle("<#Delta_{eta}> at vertex versus p;p (GeV/c);<#Delta_{eta}>");
 299   TGraphAsymmErrors* gSigmaResEtaVertexVsMom = new TGraphAsymmErrors(pNBins);
 300   gSigmaResEtaVertexVsMom->SetName("gSigmaResEtaVertexVsMom");
 301   gSigmaResEtaVertexVsMom->SetTitle("#sigma_{eta} at vertex versus p;p (GeV/c);#sigma_{eta}");
 302
 303   // phi resolution at vertex
 304   histoFile->mkdir("phiAtVertex","phiAtVertex");
 305   histoFile->cd("phiAtVertex");
 306
 307   const Int_t deltaPhiAtVtxNBins = 500;
 308   const Double_t deltaPhiAtVtxEdges[2] = {-0.5, 0.5};
 309
 310   TH1F *hResPhiVertex = new TH1F("hResPhiVertex","#Delta_{phi} at vertex;#Delta_{phi}", deltaPhiAtVtxNBins, deltaPhiAtVtxEdges[0], deltaPhiAtVtxEdges[1]);
 311   TH2D *hResPhiVertexVsMom = new TH2D("hResPhiVertexVsMom","#Delta_{phi} at vertex versus p;p (GeV/c);#Delta_{phi}",2*pNBins,pEdges[0],pEdges[1], deltaPhiAtVtxNBins, deltaPhiAtVtxEdges[0], deltaPhiAtVtxEdges[1]);
 312
 313   TH2D *hResPhiVertexVsPosAbsEnd_0_2_DegMC = new TH2D("hResPhiVertexVsPosAbsEnd_0_2_DegMC","#Delta_{phi} at vertex versus track position at absorber end for tracks with MC angle < 2 degrees;position (cm);#Delta_{phi}",1000,0.,100.,deltaPhiAtVtxNBins, deltaPhiAtVtxEdges[0], deltaPhiAtVtxEdges[1]);
 314   TH2D *hResPhiVertexVsPosAbsEnd_2_3_DegMC = new TH2D("hResPhiVertexVsPosAbsEnd_2_3_DegMC","#Delta_{phi} at vertex versus track position at absorber end for tracks with MC angle in [2,3[ degrees;position (cm);#Delta_{phi}",1000,0.,100.,deltaPhiAtVtxNBins, deltaPhiAtVtxEdges[0], deltaPhiAtVtxEdges[1]);
 315   TH2D *hResPhiVertexVsPosAbsEnd_3_10_DegMC = new TH2D("hResPhiVertexVsPosAbsEnd_3_10_DegMC","#Delta_{phi} at vertex versus track position at absorber end for tracks with MC angle in [3,10[ degrees;position (cm);#Delta_{phi}",1000,0.,100.,deltaPhiAtVtxNBins, deltaPhiAtVtxEdges[0], deltaPhiAtVtxEdges[1]);
 316
 317   TH2D *hResPhiVertexVsAngle = new TH2D("hResPhiVertexVsAngle","#Delta_{phi} at vertex versus track position at absorber end converted to degrees;angle (Deg);#Delta_{phi}",10,0.,10.,deltaPhiAtVtxNBins, deltaPhiAtVtxEdges[0], deltaPhiAtVtxEdges[1]);
 318   TH2D *hResPhiVertexVsMCAngle = new TH2D("hResPhiVertexVsMCAngle","#Delta_{phi} at vertex versus MC angle;MC angle (Deg);#Delta_{phi}",10,0.,10.,deltaPhiAtVtxNBins, deltaPhiAtVtxEdges[0], deltaPhiAtVtxEdges[1]);
 319
 320   TGraphAsymmErrors* gMeanResPhiVertexVsMom = new TGraphAsymmErrors(pNBins);
 321   gMeanResPhiVertexVsMom->SetName("gMeanResPhiVertexVsMom");
 322   gMeanResPhiVertexVsMom->SetTitle("<#Delta_{phi}> at vertex versus p;p (GeV/c);<#Delta_{phi}>");
 323   TGraphAsymmErrors* gSigmaResPhiVertexVsMom = new TGraphAsymmErrors(pNBins);
 324   gSigmaResPhiVertexVsMom->SetName("gSigmaResPhiVertexVsMom");
 325   gSigmaResPhiVertexVsMom->SetTitle("#sigma_{phi} at vertex versus p;p (GeV/c);#sigma_{phi}");
 326
 327   // cluster resolution
 328   histoFile->mkdir("clusters","clusters");
 329   histoFile->cd("clusters");
 330
 331   TH1F* hResidualXInCh[AliMUONConstants::NTrackingCh()];
 332   TH1F* hResidualYInCh[AliMUONConstants::NTrackingCh()];
 333   for (Int_t i = 0; i < AliMUONConstants::NTrackingCh(); i++) {
 334     hResidualXInCh[i] = new TH1F(Form("hResidualXInCh%d",i+1), Form("cluster-track residual-X distribution in chamber %d;#Delta_{X} (cm)",i+1), 1000, -1., 1.);
 335     hResidualYInCh[i] = new TH1F(Form("hResidualYInCh%d",i+1), Form("cluster-track residual-Y distribution in chamber %d;#Delta_{Y} (cm)",i+1), 1000, -0.5, 0.5);
 336   }
 337
 338   TGraphErrors* gResidualXPerChMean = new TGraphErrors(AliMUONConstants::NTrackingCh());
 339   gResidualXPerChMean->SetName("gResidualXPerChMean");
 340   gResidualXPerChMean->SetTitle("cluster-trackRef residual-X per Ch: mean;chamber ID;<#Delta_{X}> (cm)");
 341   gResidualXPerChMean->SetMarkerStyle(kFullDotLarge);
 342   TGraphErrors* gResidualYPerChMean = new TGraphErrors(AliMUONConstants::NTrackingCh());
 343   gResidualYPerChMean->SetName("gResidualYPerChMean");
 344   gResidualYPerChMean->SetTitle("cluster-trackRef residual-Y per Ch: mean;chamber ID;<#Delta_{Y}> (cm)");
 345   gResidualYPerChMean->SetMarkerStyle(kFullDotLarge);
 346   TGraphErrors* gResidualXPerChSigma = new TGraphErrors(AliMUONConstants::NTrackingCh());
 347   gResidualXPerChSigma->SetName("gResidualXPerChSigma");
 348   gResidualXPerChSigma->SetTitle("cluster-trackRef residual-X per Ch: sigma;chamber ID;#sigma_{X} (cm)");
 349   gResidualXPerChSigma->SetMarkerStyle(kFullDotLarge);
 350   TGraphErrors* gResidualYPerChSigma = new TGraphErrors(AliMUONConstants::NTrackingCh());
 351   gResidualYPerChSigma->SetName("gResidualYPerChSigma");
 352   gResidualYPerChSigma->SetTitle("cluster-trackRef residual-Y per Ch: sigma;chamber ID;#sigma_{Y} (cm)");
 353   gResidualYPerChSigma->SetMarkerStyle(kFullDotLarge);
 354
 355   histoFile->mkdir("trigger");
 356   histoFile->cd("trigger");
 357   TH1F* hResidualTrigX11 = new TH1F("hResiudalTrigX11", "Residual X11", 100, -10., 10.);
 358   TH1F* hResidualTrigY11 = new TH1F("hResiudalTrigY11", "Residual Y11", 100, -10., 10.);
 359   TH1F* hResidualTrigSlopeY = new TH1F("hResiudalTrigSlopeY", "Residual Y slope", 100, -0.1, 0.1);
 360   TH1F* hTriggerableMatchFailed = new TH1F("hTriggerableMatchFailed", "Triggerable multiplicity for events with no match", 15, -0.5, 14.5);
 361
 362
 363   // ###################################### initialize ###################################### //
 364   AliMUONRecoCheck rc(esdFileName, pathSim);
 365
 366   // load necessary data from OCDB
 367   AliCDBManager::Instance()->SetDefaultStorage(ocdbPath);
 368   AliCDBManager::Instance()->SetRun(rc.GetRunNumber());
 369   if (!AliMUONCDB::LoadField()) return;
 370   AliMUONTrackExtrap::SetField();
 371   AliGeomManager::LoadGeometry();
 372   if (!AliGeomManager::GetGeometry()) return;
 373   AliMUONRecoParam* recoParam = AliMUONCDB::LoadRecoParam();
 374   if (!recoParam) return;
 375   AliMUONESDInterface::ResetTracker(recoParam);
 376
 377   // get sigma cut from recoParam to associate clusters with TrackRefs in case the label are not used
 378   Double_t sigmaCut = (recoParam->ImproveTracks()) ? recoParam->GetSigmaCutForImprovement() : recoParam->GetSigmaCutForTracking();
 379   // compute the mask of requested stations from recoParam
 380   UInt_t requestedStationMask = 0;
 381   for (Int_t i = 0; i < 5; i++) if (recoParam->RequestStation(i)) requestedStationMask |= ( 1 << i );
 382   // get from recoParam whether a track need 2 chambers hit in the same station (4 or 5) or not to be reconstructible
 383   Bool_t request2ChInSameSt45 = !recoParam->MakeMoreTrackCandidates();
 384
 385   Int_t nevents = rc.NumberOfEvents();
 386
 387   if (nevents < nEvent || nEvent < 0) nEvent = nevents;
 388
 389   Int_t ievent;
 390   Int_t nReconstructibleTracks = 0;
 391   Int_t nReconstructedTracks = 0;
 392   Int_t nReconstructibleTracksCheck = 0;
 393   AliMUONTrackParam *trackParam;
 394   Double_t x1,y1,z1,slopex1,slopey1,pX1,pY1,pZ1,p1,pT1,eta1,phi1;
 395   Double_t x2,y2,z2,slopex2,slopey2,pX2,pY2,pZ2,p2,pT2,eta2,phi2;
 396   Double_t dPhi;
 397   Double_t xAbs,yAbs,dAbs,aAbs,aMCS,aMC;
 398   Double_t xDCA,yDCA,dca,pU;
 399   Double_t aMCSMoy = 0., aMCS2Moy = 0., dMCSMoy = 0., dMCS2Moy = 0., adMCSMoy = 0.;
 400   Int_t nMCS = 0;
 401
 402   // ###################################### fill histograms ###################################### //
 403   for (ievent=0; ievent<nEvent; ievent++)
 404   {
 405     if ((ievent+1)%100 == 0) cout<<"\rEvent processing... "<<ievent+1<<flush;
 406
 407     AliMUONVTrackStore* trackStore = rc.ReconstructedTracks(ievent, kFALSE);
 408     AliMUONVTrackStore* trackRefStore = rc.ReconstructibleTracks(ievent, requestedStationMask, request2ChInSameSt45);
 409
 410     hReconstructible->Fill(trackRefStore->GetSize());
 411     hReco->Fill(trackStore->GetSize());
 412
 413     nReconstructibleTracks += trackRefStore->GetSize();
 414     nReconstructedTracks += trackStore->GetSize();
 415
 416     AliMUONVTriggerTrackStore* triggerTrackRefStore = rc.TriggerableTracks(ievent);
 417     AliMUONVTriggerTrackStore* triggerTrackStore = rc.TriggeredTracks(ievent);
 418
 419     hTriggerable->Fill(triggerTrackRefStore->GetSize());
 420     hTriggered->Fill(triggerTrackStore->GetSize());
 421
 422     // loop over trigger trackRef
 423     TIter nextTrig(triggerTrackRefStore->CreateIterator());
 424     AliMUONTriggerTrack* triggerTrackRef;
 425     Int_t nTriggerMatches = 0;
 426     while ( ( triggerTrackRef = static_cast<AliMUONTriggerTrack*>(nextTrig()) ) )
 427     {
 428
 429       AliMUONTriggerTrack* triggerTrackMatched = 0x0;
 430
 431       // loop over trackReco and look for compatible track
 432       TIter nextTrig2(triggerTrackStore->CreateIterator());
 433       AliMUONTriggerTrack* triggerTrackReco;
 434       while ( ( triggerTrackReco = static_cast<AliMUONTriggerTrack*>(nextTrig2()) ) )
 435       {
 436
 437         // check if trackReco is compatible with trackRef
 438         if (triggerTrackReco->Match(*triggerTrackRef, sigmaCut)) {
 439           triggerTrackMatched = triggerTrackReco;
 440           nTriggerMatches++;
 441           break;
 442         }
 443       }
 444
 445       if (triggerTrackMatched) { // tracking requirements verified, track is found
 446         hResidualTrigX11->Fill( triggerTrackMatched->GetX11() - triggerTrackRef->GetX11() );
 447         hResidualTrigY11->Fill( triggerTrackMatched->GetY11() - triggerTrackRef->GetY11() );
 448         hResidualTrigSlopeY->Fill( triggerTrackMatched->GetSlopeY() - triggerTrackRef->GetSlopeY() );
 449       }
 450     } // loop on trigger track ref
 451
 452     if ( nTriggerMatches != triggerTrackStore->GetSize() )
 453       hTriggerableMatchFailed->Fill(triggerTrackRefStore->GetSize());
 454
 455     // loop over trackRef
 456     TIter next(trackRefStore->CreateIterator());
 457     AliMUONTrack* trackRef;
 458     while ( ( trackRef = static_cast<AliMUONTrack*>(next()) ) )
 459     {
 460
 461       hTrackRefID->Fill(trackRef->GetUniqueID());
 462
 463       AliMUONTrack* trackMatched = 0x0;
 464       Int_t nMatchClusters = 0;
 465
 466       // loop over trackReco and look for compatible track
 467       TIter next2(trackStore->CreateIterator());
 468       AliMUONTrack* trackReco;
 469       while ( ( trackReco = static_cast<AliMUONTrack*>(next2()) ) )
 470       {
 471
 472         // check if trackReco is compatible with trackRef
 473         if (trackReco->Match(*trackRef, sigmaCut, nMatchClusters)) {
 474           trackMatched = trackReco;
 475           break;
 476         }
 477
 478       }
 479
 480       if (trackMatched) { // tracking requirements verified, track is found
 481         nReconstructibleTracksCheck++;
 482         hNClusterComp->Fill(nMatchClusters);
 483
 484         // compute track position at the end of the absorber
 485         AliMUONTrackParam trackParamAtAbsEnd(*((AliMUONTrackParam*)trackMatched->GetTrackParamAtCluster()->First()));
 486         AliMUONTrackExtrap::ExtrapToZ(&trackParamAtAbsEnd, AliMUONConstants::AbsZEnd());
 487         xAbs = trackParamAtAbsEnd.GetNonBendingCoor();
 488         yAbs = trackParamAtAbsEnd.GetBendingCoor();
 489         dAbs = TMath::Sqrt(xAbs*xAbs + yAbs*yAbs);
 490         aAbs = TMath::ATan(-dAbs/AliMUONConstants::AbsZEnd()) * TMath::RadToDeg();
 491         pX2 = trackParamAtAbsEnd.Px();
 492         pY2 = trackParamAtAbsEnd.Py();
 493         pZ2 = trackParamAtAbsEnd.Pz();
 494         pT2 = TMath::Sqrt(pX2*pX2 + pY2*pY2);
 495         aMCS = TMath::ATan(-pT2/pZ2) * TMath::RadToDeg();
 496
 497         trackParam = trackRef->GetTrackParamAtVertex();
 498         x1 = trackParam->GetNonBendingCoor();
 499         y1 = trackParam->GetBendingCoor();
 500         z1 = trackParam->GetZ();
 501         slopex1 = trackParam->GetNonBendingSlope();
 502         slopey1 = trackParam->GetBendingSlope();
 503         pX1 = trackParam->Px();
 504         pY1 = trackParam->Py();
 505         pZ1 = trackParam->Pz();
 506         p1  = trackParam->P();
 507         pT1 = TMath::Sqrt(pX1*pX1 + pY1*pY1);
 508         aMC = TMath::ATan(-pT1/pZ1) * TMath::RadToDeg();
 509         eta1 = TMath::Log(TMath::Tan(0.5*TMath::ATan(-pT1/pZ1)));
 510         phi1 = TMath::Pi()+TMath::ATan2(-pY1, -pX1);
 511
 512         trackParam = trackMatched->GetTrackParamAtVertex();
 513         x2 = trackParam->GetNonBendingCoor();
 514         y2 = trackParam->GetBendingCoor();
 515         z2 = trackParam->GetZ();
 516         slopex2 = trackParam->GetNonBendingSlope();
 517         slopey2 = trackParam->GetBendingSlope();
 518         pX2 = trackParam->Px();
 519         pY2 = trackParam->Py();
 520         pZ2 = trackParam->Pz();
 521         p2  = trackParam->P();
 522         pT2 = TMath::Sqrt(pX2*pX2 + pY2*pY2);
 523         eta2 = TMath::Log(TMath::Tan(0.5*TMath::ATan(-pT2/pZ2)));
 524         phi2 = TMath::Pi()+TMath::ATan2(-pY2, -pX2);
 525
 526         dPhi = phi2-phi1;
 527         if (dPhi < -TMath::Pi()) dPhi += 2.*TMath::Pi();
 528         else if (dPhi > TMath::Pi()) dPhi -= 2.*TMath::Pi();
 529
 530         AliMUONTrackParam trackParamAtDCA(*((AliMUONTrackParam*) trackMatched->GetTrackParamAtCluster()->First()));
 531         pU = trackParamAtDCA.P();
 532         AliMUONTrackExtrap::ExtrapToVertexWithoutBranson(&trackParamAtDCA, z2);
 533         xDCA = trackParamAtDCA.GetNonBendingCoor();
 534         yDCA = trackParamAtDCA.GetBendingCoor();
 535         dca = TMath::Sqrt(xDCA*xDCA + yDCA*yDCA);
 536
 537         hResMomVertex->Fill(p2-p1);
 538         hResSlopeXVertex->Fill(slopex2-slopex1);
 539         hResSlopeYVertex->Fill(slopey2-slopey1);
 540         hPDCA->Fill(0.5*(p2+pU)*dca);
 541         hResEtaVertex->Fill(eta2-eta1);
 542         hResPhiVertex->Fill(dPhi);
 543         if (aMC >= aAbsLimits[0] && aMC <= aAbsLimits[1]) {
 544           hResMomVertexVsMom->Fill(p1,p2-p1);
 545           hResSlopeXVertexVsMom->Fill(p1,slopex2-slopex1);
 546           hResSlopeYVertexVsMom->Fill(p1,slopey2-slopey1);
 547           hResEtaVertexVsMom->Fill(p1,eta2-eta1);
 548           hResPhiVertexVsMom->Fill(p1,dPhi);
 549         }
 550         hResMomVertexVsAngleVsMom->Fill(p1,aAbs,p2-p1);
 551         if (aAbs > 2. && aAbs < 3.) {
 552           hResMomVertexVsMom_2_3_Deg->Fill(p1,p2-p1);
 553           hPDCAVsMom_2_3_Deg->Fill(p1,0.5*(p2+pU)*dca);
 554           hPMCSAngVsMom_2_3_Deg->Fill(p1,0.5*(p2+pU)*(aMCS-aMC)*TMath::DegToRad());
 555         }
 556         else if (aAbs >= 3. && aAbs < 10.) {
 557           hResMomVertexVsMom_3_10_Deg->Fill(p1,p2-p1);
 558           hPDCAVsMom_3_10_Deg->Fill(p1,0.5*(p2+pU)*dca);
 559           hPMCSAngVsMom_3_10_Deg->Fill(p1,0.5*(p2+pU)*(aMCS-aMC)*TMath::DegToRad());
 560           aMCSMoy += 0.5*(p2+pU)*(aMCS-aMC)*TMath::DegToRad();
 561           aMCS2Moy += (0.5*(p2+pU)*(aMCS-aMC)*TMath::DegToRad()) * (0.5*(p2+pU)*(aMCS-aMC)*TMath::DegToRad());
 562           dMCSMoy += 0.5*(p2+pU)*(dAbs-pT1/pZ1*AliMUONConstants::AbsZEnd());
 563           dMCS2Moy += (0.5*(p2+pU)*(dAbs-pT1/pZ1*AliMUONConstants::AbsZEnd())) * (0.5*(p2+pU)*(dAbs-pT1/pZ1*AliMUONConstants::AbsZEnd()));
 564           adMCSMoy += (0.5*(p2+pU)*(aMCS-aMC)*TMath::DegToRad()) * (0.5*(p2+pU)*(dAbs-pT1/pZ1*AliMUONConstants::AbsZEnd()));
 565           nMCS++;
 566         }
 567         if (aMC < 2.) {
 568           hResMomVertexVsMom_0_2_DegMC->Fill(p1,p2-p1);
 569           hResMomVertexVsPosAbsEnd_0_2_DegMC->Fill(dAbs,p2-p1);
 570           hResSlopeXVertexVsPosAbsEnd_0_2_DegMC->Fill(dAbs,slopex2-slopex1);
 571           hResSlopeYVertexVsPosAbsEnd_0_2_DegMC->Fill(dAbs,slopey2-slopey1);
 572           hPDCAVsPosAbsEnd_0_2_DegMC->Fill(dAbs,0.5*(p2+pU)*dca);
 573           hResEtaVertexVsPosAbsEnd_0_2_DegMC->Fill(dAbs,eta2-eta1);
 574           hResPhiVertexVsPosAbsEnd_0_2_DegMC->Fill(dAbs,dPhi);
 575         }
 576         else if (aMC >= 2. && aMC < 3) {
 577           hResMomVertexVsPosAbsEnd_2_3_DegMC->Fill(dAbs,p2-p1);
 578           hResSlopeXVertexVsPosAbsEnd_2_3_DegMC->Fill(dAbs,slopex2-slopex1);
 579           hResSlopeYVertexVsPosAbsEnd_2_3_DegMC->Fill(dAbs,slopey2-slopey1);
 580           hPDCAVsPosAbsEnd_2_3_DegMC->Fill(dAbs,0.5*(p2+pU)*dca);
 581           hResEtaVertexVsPosAbsEnd_2_3_DegMC->Fill(dAbs,eta2-eta1);
 582           hResPhiVertexVsPosAbsEnd_2_3_DegMC->Fill(dAbs,dPhi);
 583         }
 584         else if (aMC >= 3. && aMC < 10.) {
 585           hResMomVertexVsPosAbsEnd_3_10_DegMC->Fill(dAbs,p2-p1);
 586           hResSlopeXVertexVsPosAbsEnd_3_10_DegMC->Fill(dAbs,slopex2-slopex1);
 587           hResSlopeYVertexVsPosAbsEnd_3_10_DegMC->Fill(dAbs,slopey2-slopey1);
 588           hPDCAVsPosAbsEnd_3_10_DegMC->Fill(dAbs,0.5*(p2+pU)*dca);
 589           hResEtaVertexVsPosAbsEnd_3_10_DegMC->Fill(dAbs,eta2-eta1);
 590           hResPhiVertexVsPosAbsEnd_3_10_DegMC->Fill(dAbs,dPhi);
 591         }
 592         hResMomVertexVsAngle->Fill(aAbs,p2-p1);
 593         hResSlopeXVertexVsAngle->Fill(aAbs,slopex2-slopex1);
 594         hResSlopeYVertexVsAngle->Fill(aAbs,slopey2-slopey1);
 595         hPDCAVsAngle->Fill(aAbs,0.5*(p2+pU)*dca);
 596         hResEtaVertexVsAngle->Fill(aAbs,eta2-eta1);
 597         hResPhiVertexVsAngle->Fill(aAbs,dPhi);
 598         hResMomVertexVsMCAngle->Fill(aMC,p2-p1);
 599         hResSlopeXVertexVsMCAngle->Fill(aMC,slopex2-slopex1);
 600         hResSlopeYVertexVsMCAngle->Fill(aMC,slopey2-slopey1);
 601         hPDCAVsMCAngle->Fill(aMC,0.5*(p2+pU)*dca);
 602         hResEtaVertexVsMCAngle->Fill(aMC,eta2-eta1);
 603         hResPhiVertexVsMCAngle->Fill(aMC,dPhi);
 604
 605         trackParam = (AliMUONTrackParam*) trackRef->GetTrackParamAtCluster()->First();
 606         x1 = trackParam->GetNonBendingCoor();
 607         y1 = trackParam->GetBendingCoor();
 608         z1 = trackParam->GetZ();
 609         slopex1 = trackParam->GetNonBendingSlope();
 610         slopey1 = trackParam->GetBendingSlope();
 611         pX1 = trackParam->Px();
 612         pY1 = trackParam->Py();
 613         pZ1 = trackParam->Pz();
 614         p1  = trackParam->P();
 615         pT1 = TMath::Sqrt(pX1*pX1 + pY1*pY1);
 616
 617         trackParam = (AliMUONTrackParam*) trackMatched->GetTrackParamAtCluster()->First();
 618         x2 = trackParam->GetNonBendingCoor();
 619         y2 = trackParam->GetBendingCoor();
 620         z2 = trackParam->GetZ();
 621         slopex2 = trackParam->GetNonBendingSlope();
 622         slopey2 = trackParam->GetBendingSlope();
 623         pX2 = trackParam->Px();
 624         pY2 = trackParam->Py();
 625         pZ2 = trackParam->Pz();
 626         p2  = trackParam->P();
 627         pT2 = TMath::Sqrt(pX2*pX2 + pY2*pY2);
 628
 629         hResMomFirstCluster->Fill(p2-p1);
 630         hResMomFirstClusterVsMom->Fill(p1,p2-p1);
 631
 632         hResSlopeXFirstCluster->Fill(slopex2-slopex1);
 633         hResSlopeYFirstCluster->Fill(slopey2-slopey1);
 634         hResSlopeXFirstClusterVsMom->Fill(p1,slopex2-slopex1);
 635         hResSlopeYFirstClusterVsMom->Fill(p1,slopey2-slopey1);
 636
 637         // Fill residuals
 638         // Loop over clusters of first track
 639         AliMUONTrackParam* trackParamAtCluster1 = (AliMUONTrackParam*) trackMatched->GetTrackParamAtCluster()->First();
 640         while (trackParamAtCluster1) {
 641           AliMUONVCluster* cluster1 = trackParamAtCluster1->GetClusterPtr();
 642           AliMUONTrackParam* trackParamAtCluster2 = (AliMUONTrackParam*) trackRef->GetTrackParamAtCluster()->First();
 643           while (trackParamAtCluster2) {
 644             AliMUONVCluster* cluster2 = trackParamAtCluster2->GetClusterPtr();
 645             if (cluster1->GetDetElemId() == cluster2->GetDetElemId()) {
 646               hResidualXInCh[cluster1->GetChamberId()]->Fill(cluster1->GetX() - cluster2->GetX());
 647               hResidualYInCh[cluster1->GetChamberId()]->Fill(cluster1->GetY() - cluster2->GetY());
 648               break;
 649             }
 650             trackParamAtCluster2 = (AliMUONTrackParam*) trackRef->GetTrackParamAtCluster()->After(trackParamAtCluster2);
 651           }
 652           trackParamAtCluster1 = (AliMUONTrackParam*) trackMatched->GetTrackParamAtCluster()->After(trackParamAtCluster1);
 653         }
 654
 655       }
 656
 657     } // end loop track ref.
 658
 659   } // end loop on event
 660   cout<<"\rEvent processing... "<<nevents<<" done"<<endl;
 661
 662   // ###################################### compute stuff ###################################### //
 663   cout<<"\nWhen not specified, resolution at vertex is computed for ";
 664   if (absorberRegion == 1) cout<<"tracks in the absorber region [2,3] deg."<<endl;
 665   else if (absorberRegion == 2) cout<<"tracks in the absorber region [3,10] deg."<<endl;
 666   else cout<<"all tracks"<<endl;
 667
 668   // compute momentum resolution at vertex versus p
 669   TF1 *f2 = new TF1("f2",langaufun,deltaPAtVtxEdges[0],deltaPAtVtxEdges[1],4);
 670   Int_t rebinFactorX = TMath::Max(hResMomVertexVsMom->GetNbinsX()/pNBins, 1);
 671   for (Int_t i = rebinFactorX; i <= hResMomVertexVsMom->GetNbinsX(); i+=rebinFactorX) {
 672     cout<<"\rFitting momentum residuals at vertex... "<<i/rebinFactorX<<"/"<<pNBins<<flush;
 673     TH1D *tmp = hResMomVertexVsMom->ProjectionY("tmp",i-rebinFactorX+1,i,"e");
 674     f2->SetParameters(0.2,0.,(Double_t)tmp->GetEntries(),1.);
 675     tmp->Fit("f2","WWNQ");
 676     Double_t fwhm = f2->GetParameter(0);
 677     Double_t sigma = f2->GetParameter(3);
 678     Double_t sigmaP = TMath::Sqrt(sigma*sigma + fwhm*fwhm/(8.*log(2.)));
 679     Int_t rebin = TMath::Max(Int_t(0.5*sigmaP/tmp->GetBinWidth(1)),1);
 680     while (deltaPAtVtxNBins%rebin!=0) rebin--;
 681     tmp->Rebin(rebin);
 682     tmp->Fit("f2","NQ");
 683     fwhm = f2->GetParameter(0);
 684     sigma = f2->GetParameter(3);
 685     sigmaP = TMath::Sqrt(sigma*sigma + fwhm*fwhm/(8.*log(2.)));
 686     Double_t fwhmErr = f2->GetParError(0);
 687     Double_t sigmaErr = f2->GetParError(3);
 688     Double_t sigmaPErr = TMath::Sqrt(sigma*sigma*sigmaErr*sigmaErr + fwhm*fwhm*fwhmErr*fwhmErr/(64.*log(2.)*log(2.))) / sigmaP;
 689     hResMomVertexVsMom->GetXaxis()->SetRange(i-rebinFactorX+1,i);
 690     Double_t p = (tmp->GetEntries() > 0) ? hResMomVertexVsMom->GetMean() : 0.5 * (hResMomVertexVsMom->GetBinLowEdge(i-rebinFactorX+1) + hResMomVertexVsMom->GetBinLowEdge(i+1));
 691     hResMomVertexVsMom->GetXaxis()->SetRange();
 692     Double_t pErr[2] = {p-hResMomVertexVsMom->GetBinLowEdge(i-rebinFactorX+1), hResMomVertexVsMom->GetBinLowEdge(i+1)-p};
 693     gMeanResMomVertexVsMom->SetPoint(i/rebinFactorX-1, p, tmp->GetMean());
 694     gMeanResMomVertexVsMom->SetPointError(i/rebinFactorX-1, pErr[0], pErr[1], tmp->GetMeanError(), tmp->GetMeanError());
 695     gMostProbResMomVertexVsMom->SetPoint(i/rebinFactorX-1, p, -f2->GetParameter(1));
 696     gMostProbResMomVertexVsMom->SetPointError(i/rebinFactorX-1, pErr[0], pErr[1], f2->GetParError(1), f2->GetParError(1));
 697     gSigmaResMomVertexVsMom->SetPoint(i/rebinFactorX-1, p, 100.*sigmaP/p);
 698     gSigmaResMomVertexVsMom->SetPointError(i/rebinFactorX-1, pErr[0], pErr[1], 100.*sigmaPErr/p, 100.*sigmaPErr/p);
 699     delete tmp;
 700   }
 701   cout<<"\rFitting momentum residuals at vertex... "<<pNBins<<"/"<<pNBins<<endl;
 702
 703   // compute momentum relative resolution at first cluster versus p
 704   FitGausResVsMom(hResMomFirstClusterVsMom, pNBins, 0., 1., "momentum residuals at first cluster", gMeanResMomFirstClusterVsMom, gSigmaResMomFirstClusterVsMom);
 705   rebinFactorX = TMath::Max(hResMomFirstClusterVsMom->GetNbinsX()/pNBins, 1);
 706   for (Int_t i = rebinFactorX; i <= hResMomFirstClusterVsMom->GetNbinsX(); i+=rebinFactorX) {
 707     Double_t x,y;
 708     gSigmaResMomFirstClusterVsMom->GetPoint(i/rebinFactorX-1, x, y);
 709     gSigmaResMomFirstClusterVsMom->SetPoint(i/rebinFactorX-1, x, 100.*y/x);
 710     gSigmaResMomFirstClusterVsMom->SetPointEYlow(i/rebinFactorX-1, 100.*gSigmaResMomFirstClusterVsMom->GetErrorYlow(i/rebinFactorX-1)/x);
 711     gSigmaResMomFirstClusterVsMom->SetPointEYhigh(i/rebinFactorX-1, 100.*gSigmaResMomFirstClusterVsMom->GetErrorYhigh(i/rebinFactorX-1)/x);
 712   }
 713
 714   // compute slopeX resolution at vertex versus p
 715   FitGausResVsMom(hResSlopeXVertexVsMom, pNBins, 0., 2.e-3, "slopeX residuals at vertex", gMeanResSlopeXVertexVsMom, gSigmaResSlopeXVertexVsMom);
 716
 717   // compute slopeY resolution at vertex versus p
 718   FitGausResVsMom(hResSlopeYVertexVsMom, pNBins, 0., 2.e-3, "slopeY residuals at vertex", gMeanResSlopeYVertexVsMom, gSigmaResSlopeYVertexVsMom);
 719
 720   // compute slopeX resolution at first cluster versus p
 721   FitGausResVsMom(hResSlopeXFirstClusterVsMom, pNBins, 0., 3.e-4, "slopeX residuals at first cluster", gMeanResSlopeXFirstClusterVsMom, gSigmaResSlopeXFirstClusterVsMom);
 722
 723   // compute slopeY resolution at first cluster versus p
 724   FitGausResVsMom(hResSlopeYFirstClusterVsMom, pNBins, 0., 2.e-4, "slopeY residuals at first cluster", gMeanResSlopeYFirstClusterVsMom, gSigmaResSlopeYFirstClusterVsMom);
 725
 726   // compute p*DCA resolution in the region [2,3] deg at absorber end
 727   FitPDCAVsMom(hPDCAVsMom_2_3_Deg, pNBins, "p*DCA (tracks in [2,3] deg.)", gMeanPDCAVsMom_2_3_Deg, gSigmaPDCAVsMom_2_3_Deg);
 728
 729   // compute p*DCA resolution in the region [3,10] deg at absorber end
 730   FitPDCAVsMom(hPDCAVsMom_3_10_Deg, pNBins, "p*DCA (tracks in [3,10] deg.)", gMeanPDCAVsMom_3_10_Deg, gSigmaPDCAVsMom_3_10_Deg);
 731
 732   // compute MCS angular dispersion in the region [2,3] deg at absorber end
 733   FitGausResVsMom(hPMCSAngVsMom_2_3_Deg, pNBins, 0., 2.e-3, "p*MCSAngle (tracks in [2,3] deg.)", gMeanPMCSAngVsMom_2_3_Deg, gSigmaPMCSAngVsMom_2_3_Deg);
 734
 735   // compute MCS angular dispersion in the region [3,10] deg at absorber end
 736   FitGausResVsMom(hPMCSAngVsMom_3_10_Deg, pNBins, 0., 2.e-3, "p*MCSAngle (tracks in [3,10] deg.)", gMeanPMCSAngVsMom_3_10_Deg, gSigmaPMCSAngVsMom_3_10_Deg);
 737
 738   // compute eta resolution at vertex versus p
 739   FitGausResVsMom(hResEtaVertexVsMom, pNBins, 0., 0.1, "eta residuals at vertex", gMeanResEtaVertexVsMom, gSigmaResEtaVertexVsMom);
 740
 741   // compute phi resolution at vertex versus p
 742   FitGausResVsMom(hResPhiVertexVsMom, pNBins, 0., 0.01, "phi residuals at vertex", gMeanResPhiVertexVsMom, gSigmaResPhiVertexVsMom);
 743
 744   // compute cluster-track residual mean and dispersion
 745   for (Int_t i = 0; i < AliMUONConstants::NTrackingCh(); i++) {
 746     hResidualXInCh[i]->GetXaxis()->SetRangeUser(-3.*hResidualXInCh[i]->GetRMS(), 3.*hResidualXInCh[i]->GetRMS());
 747     gResidualXPerChMean->SetPoint(i, i+1, hResidualXInCh[i]->GetMean());
 748     gResidualXPerChMean->SetPointError(i, 0., hResidualXInCh[i]->GetMeanError());
 749     gResidualXPerChSigma->SetPoint(i, i+1, hResidualXInCh[i]->GetRMS());
 750     gResidualXPerChSigma->SetPointError(i, 0., hResidualXInCh[i]->GetRMSError());
 751     hResidualXInCh[i]->GetXaxis()->SetRange(0,0);
 752     hResidualYInCh[i]->GetXaxis()->SetRangeUser(-3.*hResidualYInCh[i]->GetRMS(), 3.*hResidualYInCh[i]->GetRMS());
 753     gResidualYPerChMean->SetPoint(i, i+1, hResidualYInCh[i]->GetMean());
 754     gResidualYPerChMean->SetPointError(i, 0., hResidualYInCh[i]->GetMeanError());
 755     gResidualYPerChSigma->SetPoint(i, i+1, hResidualYInCh[i]->GetRMS());
 756     gResidualYPerChSigma->SetPointError(i, 0., hResidualYInCh[i]->GetRMSError());
 757     hResidualYInCh[i]->GetXaxis()->SetRange(0,0);
 758   }
 759
 760   // ###################################### display histograms ###################################### //
 761   // diplay momentum residuals
 762   TCanvas* cResMom = DrawVsAng("cResMom", "momentum residual at vertex in 3 angular regions", hResMomVertex, hResMomVertexVsAngle);
 763   TCanvas* cResMomMC = DrawVsAng("cResMomMC", "momentum residual at vertex in 3 MC angular regions", hResMomVertex, hResMomVertexVsMCAngle);
 764   TCanvas* cResMomVsPos = DrawVsPos("cResMomVsPos", "momentum residual at vertex versus position at absorber end in 3 MC angular regions",
 765                                     hResMomVertexVsPosAbsEnd_0_2_DegMC, hResMomVertexVsPosAbsEnd_2_3_DegMC, hResMomVertexVsPosAbsEnd_3_10_DegMC);
 766   TCanvas* cResMom_2_3_Deg = DrawResMomVsMom("cResMom_2_3_Deg", "momentum residual for tracks between 2 and 3 degrees",
 767                                              hResMomVertexVsMom_2_3_Deg, 10, f2, "momentum residuals at vertex (tracks in [2,3] deg.)");
 768   TCanvas* cResMom_3_10_Deg = DrawResMomVsMom("cResMom_3_10_Deg", "momentum residual for tracks between 3 and 10 degrees",
 769                                               hResMomVertexVsMom_3_10_Deg, 10, f2, "momentum residuals at vertex (tracks in [3,10] deg.)");
 770   TCanvas* cResMom_0_2_DegMC = DrawResMomVsMom("cResMom_0_2_DegMC", "momentum residuals for tracks with MC angle < 2 degrees", hResMomVertexVsMom_0_2_DegMC, 5);
 771
 772   // diplay slopeX residuals
 773   TCanvas* cResSlopeX = DrawVsAng("cResSlopeX", "slope_{X} residual at vertex in 3 angular regions", hResSlopeXVertex, hResSlopeXVertexVsAngle);
 774   TCanvas* cResSlopeXMC = DrawVsAng("cResSlopeXMC", "slope_{X} residual at vertex in 3 MC angular regions", hResSlopeXVertex, hResSlopeXVertexVsMCAngle);
 775   TCanvas* cResSlopeXVsPos = DrawVsPos("cResSlopeXVsPos", "slope_{X} residual at vertex versus position at absorber end in 3 MC angular regions",
 776                                        hResSlopeXVertexVsPosAbsEnd_0_2_DegMC, hResSlopeXVertexVsPosAbsEnd_2_3_DegMC, hResSlopeXVertexVsPosAbsEnd_3_10_DegMC);
 777
 778   // diplay slopeY residuals
 779   TCanvas* cResSlopeY = DrawVsAng("cResSlopeY", "slope_{Y} residual at vertex in 3 angular regions", hResSlopeYVertex, hResSlopeYVertexVsAngle);
 780   TCanvas* cResSlopeYMC = DrawVsAng("cResSlopeYMC", "slope_{Y} residual at vertex in 3 MC angular regions", hResSlopeYVertex, hResSlopeYVertexVsMCAngle);
 781   TCanvas* cResSlopeYVsPos = DrawVsPos("cResSlopeYVsPos", "slope_{Y} residual at vertex versus position at absorber end in 3 MC angular regions",
 782                                        hResSlopeYVertexVsPosAbsEnd_0_2_DegMC, hResSlopeYVertexVsPosAbsEnd_2_3_DegMC, hResSlopeYVertexVsPosAbsEnd_3_10_DegMC);
 783
 784   // diplay P*DCA
 785   TCanvas* cPDCA = DrawVsAng("cPDCA", "p #times DCA in 3 angular regions", hPDCA, hPDCAVsAngle);
 786   TCanvas* cPDCAMC = DrawVsAng("cPDCAMC", "p #times DCA in 3 MC angular regions", hPDCA, hPDCAVsMCAngle);
 787   TCanvas* cPDCAVsPos = DrawVsPos("cPDCAVsPos", "p #times DCA versus position at absorber end in 3 MC angular regions",
 788                                   hPDCAVsPosAbsEnd_0_2_DegMC, hPDCAVsPosAbsEnd_2_3_DegMC, hPDCAVsPosAbsEnd_3_10_DegMC);
 789
 790   // diplay eta residuals
 791   TCanvas* cResEta = DrawVsAng("cResEta", "eta residual at vertex in 3 angular regions", hResEtaVertex, hResEtaVertexVsAngle);
 792   TCanvas* cResEtaMC = DrawVsAng("cResEtaMC", "eta residual at vertex in 3 MC angular regions", hResEtaVertex, hResEtaVertexVsMCAngle);
 793   TCanvas* cResEtaVsPos = DrawVsPos("cResEtaVsPos", "eta residual at vertex versus position at absorber end in 3 MC angular regions",
 794                                     hResEtaVertexVsPosAbsEnd_0_2_DegMC, hResEtaVertexVsPosAbsEnd_2_3_DegMC, hResEtaVertexVsPosAbsEnd_3_10_DegMC);
 795
 796   // diplay phi residuals
 797   TCanvas* cResPhi = DrawVsAng("cResPhi", "phi residual at vertex in 3 angular regions", hResPhiVertex, hResPhiVertexVsAngle);
 798   TCanvas* cResPhiMC = DrawVsAng("cResPhiMC", "phi residual at vertex in 3 MC angular regions", hResPhiVertex, hResPhiVertexVsMCAngle);
 799   TCanvas* cResPhiVsPos = DrawVsPos("cResPhiVsPos", "phi residual at vertex versus position at absorber end in 3 MC angular regions",
 800                                     hResPhiVertexVsPosAbsEnd_0_2_DegMC, hResPhiVertexVsPosAbsEnd_2_3_DegMC, hResPhiVertexVsPosAbsEnd_3_10_DegMC);
 801
 802   // ###################################### save histogram ###################################### //
 803   histoFile->Write();
 804
 805   histoFile->cd("momentumAtVertex");
 806   gMeanResMomVertexVsMom->Write();
 807   gMostProbResMomVertexVsMom->Write();
 808   gSigmaResMomVertexVsMom->Write();
 809   cResMom->Write();
 810   cResMomMC->Write();
 811   cResMomVsPos->Write();
 812   cResMom_2_3_Deg->Write();
 813   cResMom_3_10_Deg->Write();
 814   cResMom_0_2_DegMC->Write();
 815
 816   histoFile->cd("slopesAtVertex");
 817   gMeanResSlopeXVertexVsMom->Write();
 818   gMeanResSlopeYVertexVsMom->Write();
 819   gSigmaResSlopeXVertexVsMom->Write();
 820   gSigmaResSlopeYVertexVsMom->Write();
 821   cResSlopeX->Write();
 822   cResSlopeY->Write();
 823   cResSlopeXMC->Write();
 824   cResSlopeYMC->Write();
 825   cResSlopeXVsPos->Write();
 826   cResSlopeYVsPos->Write();
 827
 828   histoFile->cd("DCA");
 829   gMeanPDCAVsMom_2_3_Deg->Write();
 830   gSigmaPDCAVsMom_2_3_Deg->Write();
 831   gMeanPDCAVsMom_3_10_Deg->Write();
 832   gSigmaPDCAVsMom_3_10_Deg->Write();
 833   gMeanPMCSAngVsMom_2_3_Deg->Write();
 834   gSigmaPMCSAngVsMom_2_3_Deg->Write();
 835   gMeanPMCSAngVsMom_3_10_Deg->Write();
 836   gSigmaPMCSAngVsMom_3_10_Deg->Write();
 837   cPDCA->Write();
 838   cPDCAMC->Write();
 839   cPDCAVsPos->Write();
 840
 841   histoFile->cd("etaAtVertex");
 842   gMeanResEtaVertexVsMom->Write();
 843   gSigmaResEtaVertexVsMom->Write();
 844   cResEta->Write();
 845   cResEtaMC->Write();
 846   cResEtaVsPos->Write();
 847
 848   histoFile->cd("phiAtVertex");
 849   gMeanResPhiVertexVsMom->Write();
 850   gSigmaResPhiVertexVsMom->Write();
 851   cResPhi->Write();
 852   cResPhiMC->Write();
 853   cResPhiVsPos->Write();
 854
 855   histoFile->cd("momentumAtFirstCluster");
 856   gMeanResMomFirstClusterVsMom->Write();
 857   gSigmaResMomFirstClusterVsMom->Write();
 858
 859   histoFile->cd("slopesAtFirstCluster");
 860   gMeanResSlopeXFirstClusterVsMom->Write();
 861   gMeanResSlopeYFirstClusterVsMom->Write();
 862   gSigmaResSlopeXFirstClusterVsMom->Write();
 863   gSigmaResSlopeYFirstClusterVsMom->Write();
 864
 865   histoFile->cd("clusters");
 866   gResidualXPerChMean->Write();
 867   gResidualXPerChSigma->Write();
 868   gResidualYPerChMean->Write();
 869   gResidualYPerChSigma->Write();
 870
 871   histoFile->Close();
 872
 873   // ###################################### clean memory ###################################### //
 874   delete cResMom;
 875   delete cResMomMC;
 876   delete cResMomVsPos;
 877   delete cResMom_2_3_Deg;
 878   delete cResMom_3_10_Deg;
 879   delete cResMom_0_2_DegMC;
 880   delete cResSlopeX;
 881   delete cResSlopeY;
 882   delete cResSlopeXMC;
 883   delete cResSlopeYMC;
 884   delete cResSlopeXVsPos;
 885   delete cResSlopeYVsPos;
 886   delete cPDCA;
 887   delete cPDCAMC;
 888   delete cPDCAVsPos;
 889   delete cResEta;
 890   delete cResEtaMC;
 891   delete cResEtaVsPos;
 892   delete cResPhi;
 893   delete cResPhiMC;
 894   delete cResPhiVsPos;
 895
 896   // ###################################### print statistics ###################################### //
 897   printf("\n");
 898   printf("nb of reconstructible tracks: %d \n", nReconstructibleTracks);
 899   printf("nb of reconstructed tracks: %d \n", nReconstructedTracks);
 900   printf("nb of reconstructible tracks which are reconstructed: %d \n", nReconstructibleTracksCheck);
 901
 902   aMCSMoy /= (Double_t) nMCS;
 903   aMCS2Moy /= (Double_t) nMCS;
 904   dMCSMoy /= (Double_t) nMCS;
 905   dMCS2Moy /= (Double_t) nMCS;
 906   adMCSMoy /= (Double_t) nMCS;
 907   Double_t sigma2_ThetaMCS = aMCS2Moy - aMCSMoy*aMCSMoy;
 908   Double_t sigma2_PosMCS = dMCS2Moy - dMCSMoy*dMCSMoy;
 909   Double_t cov_ThetaPosMCS = - (adMCSMoy - aMCSMoy*dMCSMoy);
 910   printf("\nmultiple scattering of tracks between 3 and 10 deg. at absorber end:\n");
 911   printf(" sigma_ThetaMCS = %f\n", TMath::Sqrt(sigma2_ThetaMCS));
 912   printf(" sigma_PosMCS = %f\n", TMath::Sqrt(sigma2_PosMCS));
 913   printf(" cov_ThetaPosMCS = %f\n", cov_ThetaPosMCS);
 914   printf(" --> sigma_DCA = %f\n", TMath::Sqrt(AliMUONConstants::AbsZEnd()*AliMUONConstants::AbsZEnd()*sigma2_ThetaMCS
 915                                               - 2.*AliMUONConstants::AbsZEnd()*cov_ThetaPosMCS + sigma2_PosMCS));
 916   printf("\n");
 917 }
 918
 919 //------------------------------------------------------------------------------------
 920 Double_t langaufun(Double_t *x, Double_t *par) {
 921
 922   //Fit parameters:
 923   //par[0]=Width (scale) parameter of Landau density
 924   //par[1]=Most Probable (MP, location) parameter of Landau density
 925   //par[2]=Total area (integral -inf to inf, normalization constant)
 926   //par[3]=Width (sigma) of convoluted Gaussian function
 927   //
 928   //In the Landau distribution (represented by the CERNLIB approximation),
 929   //the maximum is located at x=-0.22278298 with the location parameter=0.
 930   //This shift is corrected within this function, so that the actual
 931   //maximum is identical to the MP parameter.
 932
 933   // Numeric constants
 934   Double_t invsq2pi = 0.3989422804014;   // (2 pi)^(-1/2)
 935   Double_t mpshift  = -0.22278298;       // Landau maximum location
 936
 937   // Control constants
 938   Double_t np = 100.0; // number of convolution steps
 939   Double_t sc = 5.0;   // convolution extends to +-sc Gaussian sigmas
 940
 941   // Variables
 942   Double_t xx;
 943   Double_t mpc;
 944   Double_t fland;
 945   Double_t sum = 0.0;
 946   Double_t xlow,xupp;
 947   Double_t step;
 948   Double_t i;
 949
 950
 951   // MP shift correction
 952   mpc = par[1] - mpshift * par[0];
 953
 954   // Range of convolution integral
 955   xlow = x[0] - sc * par[3];
 956   xupp = x[0] + sc * par[3];
 957
 958   step = (xupp-xlow) / np;
 959
 960   // Convolution integral of Landau and Gaussian by sum
 961   for(i=1.0; i<=np/2; i++) {
 962     xx = xlow + (i-.5) * step;
 963     //change x -> -x because the tail of the Landau is at the left here...
 964     fland = TMath::Landau(-xx,mpc,par[0]) / par[0];
 965     sum += fland * TMath::Gaus(x[0],xx,par[3]);
 966
 967     //change x -> -x because the tail of the Landau is at the left here...
 968     xx = xupp - (i-.5) * step;
 969     fland = TMath::Landau(-xx,mpc,par[0]) / par[0];
 970     sum += fland * TMath::Gaus(x[0],xx,par[3]);
 971   }
 972
 973   return (par[2] * step * sum * invsq2pi / par[3]);
 974 }
 975
 976 //------------------------------------------------------------------------------------
 977 void FitGausResVsMom(TH2* h, Int_t nBins, const Double_t mean0, const Double_t sigma0,
 978                      const char* fitting, TGraphAsymmErrors* gMean, TGraphAsymmErrors* gSigma)
 979 {
 980   /// generic function to fit residuals versus momentum with a gaussian
 981   static TF1* fGaus = 0x0;
 982   if (!fGaus) fGaus = new TF1("fGaus","gaus");
 983
 984   Int_t rebinFactorX = TMath::Max(h->GetNbinsX()/nBins, 1);
 985   for (Int_t i = rebinFactorX; i <= h->GetNbinsX(); i+=rebinFactorX) {
 986     cout<<Form("\rFitting %s... %d/%d",fitting,i/rebinFactorX,nBins)<<flush;
 987     TH1D *tmp = h->ProjectionY("tmp",i-rebinFactorX+1,i,"e");
 988     fGaus->SetParameters(tmp->GetEntries(), mean0, sigma0);
 989     tmp->Fit("fGaus","WWNQ");
 990     Int_t rebin = TMath::Max(Int_t(0.5*fGaus->GetParameter(2)/tmp->GetBinWidth(1)),1);
 991     while (tmp->GetNbinsX()%rebin!=0) rebin--;
 992     tmp->Rebin(rebin);
 993     tmp->Fit("fGaus","NQ");
 994     h->GetXaxis()->SetRange(i-rebinFactorX+1,i);
 995     Double_t p = (tmp->GetEntries() > 0) ? h->GetMean() : 0.5 * (h->GetBinLowEdge(i-rebinFactorX+1) + h->GetBinLowEdge(i+1));
 996     h->GetXaxis()->SetRange();
 997     Double_t pErr[2] = {p-h->GetBinLowEdge(i-rebinFactorX+1), h->GetBinLowEdge(i+1)-p};
 998     gMean->SetPoint(i/rebinFactorX-1, p, fGaus->GetParameter(1));
 999     gMean->SetPointError(i/rebinFactorX-1, pErr[0], pErr[1], fGaus->GetParError(1), fGaus->GetParError(1));
1000     gSigma->SetPoint(i/rebinFactorX-1, p, fGaus->GetParameter(2));
1001     gSigma->SetPointError(i/rebinFactorX-1, pErr[0], pErr[1], fGaus->GetParError(2), fGaus->GetParError(2));
1002     delete tmp;
1003   }
1004   cout<<Form("\rFitting %s... %d/%d",fitting,nBins,nBins)<<endl;
1005 }
1006
1007 //------------------------------------------------------------------------------------
1008 void FitPDCAVsMom(TH2* h, Int_t nBins, const char* fitting, TGraphAsymmErrors* gMean, TGraphAsymmErrors* gSigma)
1009 {
1010   /// generic function to fit p*DCA distributions
1011   static TF1* fPGaus = 0x0;
1012   if (!fPGaus) fPGaus = new TF1("fPGaus","x*gaus");
1013
1014   Int_t rebinFactorX = TMath::Max(h->GetNbinsX()/nBins, 1);
1015   for (Int_t i = rebinFactorX; i <= h->GetNbinsX(); i+=rebinFactorX) {
1016     cout<<Form("\rFitting %s... %d/%d",fitting,i/rebinFactorX,nBins)<<flush;
1017     TH1D *tmp = h->ProjectionY("tmp",i-rebinFactorX+1,i,"e");
1018     fPGaus->SetParameters(1.,0.,80.);
1019     Int_t rebin = 25.*(tmp->GetNbinsX()/(tmp->GetBinLowEdge(tmp->GetNbinsX()+1)-tmp->GetBinLowEdge(1)));
1020     while (tmp->GetNbinsX()%rebin!=0) rebin--;
1021     tmp->Rebin(rebin);
1022     tmp->Fit("fPGaus","NQ");
1023     h->GetXaxis()->SetRange(i-rebinFactorX+1,i);
1024     Double_t p = (tmp->GetEntries() > 0) ? h->GetMean() : 0.5 * (h->GetBinLowEdge(i-rebinFactorX+1) + h->GetBinLowEdge(i+1));
1025     h->GetXaxis()->SetRange();
1026     Double_t pErr[2] = {p-h->GetBinLowEdge(i-rebinFactorX+1), h->GetBinLowEdge(i+1)-p};
1027     gMean->SetPoint(i/rebinFactorX-1, p, fPGaus->GetParameter(1));
1028     gMean->SetPointError(i/rebinFactorX-1, pErr[0], pErr[1], fPGaus->GetParError(1), fPGaus->GetParError(1));
1029     gSigma->SetPoint(i/rebinFactorX-1, p, fPGaus->GetParameter(2));
1030     gSigma->SetPointError(i/rebinFactorX-1, pErr[0], pErr[1], fPGaus->GetParError(2), fPGaus->GetParError(2));
1031     delete tmp;
1032   }
1033   cout<<Form("\rFitting %s... %d/%d",fitting,nBins,nBins)<<endl;
1034 }
1035
1036 //------------------------------------------------------------------------------------
1037 TCanvas* DrawVsAng(const char* name, const char* title, TH1* h1, TH2* h2)
1038 {
1039   /// generic function to draw histograms versus absorber angular region
1040   TCanvas* c = new TCanvas(name, title);
1041   c->cd();
1042   h1->Draw();
1043   TH1D *proj1 = h2->ProjectionY(Form("%s_proj_0_2",h2->GetName()),1,2);
1044   proj1->Draw("sames");
1045   proj1->SetLineColor(2);
1046   TH1D *proj2 = h2->ProjectionY(Form("%s_proj_2_3",h2->GetName()),3,3);
1047   proj2->Draw("sames");
1048   proj2->SetLineColor(4);
1049   TH1D *proj3 = h2->ProjectionY(Form("%s__proj_3_10",h2->GetName()),4,10);
1050   proj3->Draw("sames");
1051   proj3->SetLineColor(3);
1052   return c;
1053 }
1054
1055 //------------------------------------------------------------------------------------
1056 TCanvas* DrawVsPos(const char* name, const char* title, TH2* h1, TH2* h2, TH2* h3)
1057 {
1058   /// generic function to draw histograms versus position at absorber end
1059   TCanvas* c = new TCanvas(name, title);
1060   c->cd();
1061   h1->Draw();
1062   h1->SetMarkerColor(2);
1063   h2->Draw("sames");
1064   h2->SetMarkerColor(4);
1065   h3->Draw("sames");
1066   h3->SetMarkerColor(3);
1067   return c;
1068 }
1069
1070 //------------------------------------------------------------------------------------
1071 TCanvas* DrawResMomVsMom(const char* name, const char* title, TH2* h, Int_t nBins, TF1* f2, const char* fitting)
1072 {
1073   /// generic function to draw and eventually fit momentum residuals versus momentum
1074   TLegend* l = new TLegend(0.15,0.25,0.3,0.85);
1075   TCanvas* c = new TCanvas(name, title);
1076   c->cd();
1077   TH1D* proj = 0x0;
1078   h->Sumw2();
1079   Int_t rebinFactorX = TMath::Max(h->GetNbinsX()/nBins, 1);
1080   for (Int_t i = rebinFactorX; i <= h->GetNbinsX(); i+=rebinFactorX) {
1081     if (f2) cout<<Form("\rFitting %s... %d/%d",fitting,i/rebinFactorX,nBins)<<flush;
1082     proj = h->ProjectionY(Form("%s_%d",h->GetName(),i/rebinFactorX),i-rebinFactorX+1,i);
1083     if (proj->GetEntries() > 0) proj->Scale(1./proj->GetEntries());
1084     proj->Draw((i==rebinFactorX)?"hist":"histsames");
1085     proj->SetLineColor(i/rebinFactorX);
1086     if (f2) {
1087       f2->SetParameters(0.2,0.,1.,1.);
1088       f2->SetLineColor(i/rebinFactorX);
1089       proj->Fit("f2","WWNQ","sames");
1090       Double_t fwhm = f2->GetParameter(0);
1091       Double_t sigma = f2->GetParameter(3);
1092       Double_t sigmaP = TMath::Sqrt(sigma*sigma + fwhm*fwhm/(8.*log(2.)));
1093       Int_t rebin = TMath::Max(Int_t(0.5*sigmaP/proj->GetBinWidth(1)),1);
1094       while (proj->GetNbinsX()%rebin!=0) rebin--;
1095       proj->Rebin(rebin);
1096       proj->Scale(1./rebin);
1097       proj->Fit("f2","Q","sames");
1098     } else proj->SetLineWidth(2);
1099     Double_t p = 0.5 * (h->GetBinLowEdge(i-rebinFactorX+1) + h->GetBinLowEdge(i+1));
1100     l->AddEntry(proj,Form("%5.1f GeV",p));
1101   }
1102   if (f2) cout<<Form("\rFitting %s... %d/%d",fitting,nBins,nBins)<<endl;
1103   l->Draw("same");
1104   return c;
1105 }
1106