]> git.uio.no Git - u/mrichter/AliRoot.git/blobdiff - STEER/AliVertexerTracks.cxx
New library for analysis
[u/mrichter/AliRoot.git] / STEER / AliVertexerTracks.cxx
index 338db771bc181499489907fb8a9a96e3d2e6df2c..661dff7e264c41b6eeb358bd0fbc12bc68d6a017 100644 (file)
@@ -27,6 +27,7 @@
 
 //---- Root headers --------
 #include <TTree.h>
+#include <TMatrixD.h>
 //---- AliRoot headers -----
 #include "AliStrLine.h"
 #include "AliVertexerTracks.h"
@@ -38,68 +39,178 @@ ClassImp(AliVertexerTracks)
 
 //----------------------------------------------------------------------------
 AliVertexerTracks::AliVertexerTracks():
- TObject(),fVert() 
+TObject(),
+fVert(),
+fCurrentVertex(0),
+fMinTracks(2),
+fMinITSClusters(5),
+fTrkArray(),
+fTrksToSkip(0),
+fNTrksToSkip(0),
+fDCAcut(0),
+fAlgo(1),
+fNSigma(3),
+fDebug(0)
 {
 //
 // Default constructor
 //
   SetVtxStart();
+  SetVtxStartSigma();
   SetMinTracks();
-  fDCAcut=0;
-  fAlgo=1;
+  SetMinITSClusters();
+  SetNSigmad0(); 
 }
 //-----------------------------------------------------------------------------
 AliVertexerTracks::AliVertexerTracks(Double_t xStart, Double_t yStart):
- TObject(),fVert() 
+TObject(),
+fVert(),
+fCurrentVertex(0),
+fMinTracks(2),
+fMinITSClusters(5),
+fTrkArray(),
+fTrksToSkip(0),
+fNTrksToSkip(0),
+fDCAcut(0),
+fAlgo(1),
+fNSigma(3),
+fDebug(0)
 {
 //
 // Standard constructor
 //
   SetVtxStart(xStart,yStart);
+  SetVtxStartSigma();
   SetMinTracks();
-  fDCAcut=0;
-  fAlgo=1;
+  SetMinITSClusters();
+  SetNSigmad0(); 
 }
 //-----------------------------------------------------------------------------
 AliVertexerTracks::~AliVertexerTracks() {
   // Default Destructor
-  // The objects poited by the following pointers are not owned
+  // The objects pointed by the following pointer are not owned
   // by this class and are not deleted
+  fCurrentVertex = 0;
+  delete[] fTrksToSkip;
+}
+//---------------------------------------------------------------------------
+void AliVertexerTracks::SetSkipTracks(Int_t n,Int_t *skipped) {
+//
+// Mark the tracks not ot be used in the vertex finding
+//
+  fNTrksToSkip = n;
+  fTrksToSkip = new Int_t[n]; 
+  for(Int_t i=0;i<n;i++) fTrksToSkip[i] = skipped[i]; 
+  return; 
 }
 //----------------------------------------------------------------------------
-Int_t AliVertexerTracks::PrepareTracks(TTree &trkTree) {
+Int_t AliVertexerTracks::PrepareTracks(TTree &trkTree, Int_t OptImpParCut) {
 //
 // Propagate tracks to initial vertex position and store them in a TObjArray
 //
-  Double_t alpha,xlStart;
+  Double_t maxd0rphi = 3.;  
   Int_t    nTrks    = 0;
+  Double_t sigmaCurr[3],sigmaVtx[3],posVtx[3];
+  Double_t covVtx[6],covVtxXY;
+  Float_t  d0z0[2],covd0z0[3]; 
+  Double_t momentum[3],postrk[3];
+  Double_t pt,sigma,sigmavtxphi,phitrk;
+  Double_t field=GetField();
+
+  AliESDVertex *initVertex = new AliESDVertex(fNominalPos,fNominalSigma);
 
   Int_t    nEntries = (Int_t)trkTree.GetEntries();
   if(!fTrkArray.IsEmpty()) fTrkArray.Clear();
   fTrkArray.Expand(nEntries);
 
+  if(fDebug) {
+    printf(" PrepareTracks()\n");
+  }
+
   for(Int_t i=0; i<nEntries; i++) {
     AliESDtrack *track = new AliESDtrack; 
     trkTree.SetBranchAddress("tracks",&track);
     trkTree.GetEvent(i);
 
-    // propagate track to vtxSeed
-    alpha  = track->GetAlpha();
-    xlStart = fNominalPos[0]*TMath::Cos(alpha)+fNominalPos[1]*TMath::Sin(alpha);
-    track->PropagateTo(xlStart,GetField());   // to vtxSeed
+
+
+    // propagate track to vertex
+    if(OptImpParCut==1) { // OptImpParCut==1
+      track->RelateToVertex(initVertex,field,100.);
+      initVertex->GetXYZ(posVtx);
+      initVertex->GetSigmaXYZ(sigmaVtx);
+      covVtxXY = 0.;
+    } else {              // OptImpParCut==2
+      fCurrentVertex->GetSigmaXYZ(sigmaCurr);
+      if((sigmaCurr[0]+sigmaCurr[1])<(fNominalSigma[0]+fNominalSigma[1])) {
+       track->RelateToVertex(fCurrentVertex,field,100.);
+       fCurrentVertex->GetXYZ(posVtx);
+       fCurrentVertex->GetSigmaXYZ(sigmaVtx);
+       fCurrentVertex->GetCovMatrix(covVtx);
+       covVtxXY = covVtx[1];
+      } else {
+       track->RelateToVertex(initVertex,field,100.);
+       initVertex->GetXYZ(posVtx);
+       initVertex->GetSigmaXYZ(sigmaVtx);
+       covVtxXY = 0.;
+      }
+    }
+
+    // select tracks with d0rphi < maxd0rphi
+    track->GetImpactParameters(d0z0,covd0z0);
+
+    track->GetXYZ(postrk);
+    track->GetPxPyPz(momentum);
+    pt = TMath::Sqrt(momentum[0]*momentum[0]+momentum[1]*momentum[1]);
+
+    phitrk = TMath::ATan2(postrk[1]-posVtx[1],postrk[0]-posVtx[0]);
+    sigmavtxphi = TMath::Sqrt(sigmaVtx[0]*sigmaVtx[0]*
+                             TMath::Cos(phitrk)*TMath::Cos(phitrk)+
+                             sigmaVtx[1]*sigmaVtx[1]*
+                             TMath::Sin(phitrk)*TMath::Sin(phitrk)+
+                              covVtxXY*
+                             TMath::Cos(phitrk)*TMath::Sin(phitrk));
+    sigma = TMath::Sqrt(Sigmad0rphi(pt)*Sigmad0rphi(pt)+
+                       sigmavtxphi*sigmavtxphi);
+    maxd0rphi = fNSigma*sigma;
+    if(OptImpParCut==1) maxd0rphi *= 5.;
+
+    if(fDebug) printf("trk %d; lab %d; |d0| = %f;  cut = %f\n",i,track->GetLabel(),TMath::Abs(d0z0[0]),maxd0rphi);
+    if(TMath::Abs(d0z0[0]) > maxd0rphi) { 
+      if(fDebug) printf("     rejected\n");
+      delete track; continue; 
+    }
+
     fTrkArray.AddLast(track);
     nTrks++; 
   }
+
+  delete initVertex;
+
   return nTrks;
 } 
 //----------------------------------------------------------------------------
+Double_t AliVertexerTracks::Sigmad0rphi(Double_t pt) const {
+//
+// Impact parameter resolution in rphi [cm] vs pt [GeV/c]
+//
+  Double_t a_meas  = 11.6;
+  Double_t a_scatt = 65.8;
+  Double_t b       = 1.878;
+
+  Double_t sigma = a_meas*a_meas+a_scatt*a_scatt/TMath::Power(pt,b);
+  sigma = 0.0001*TMath::Sqrt(sigma);
+
+  return sigma;
+}
+//----------------------------------------------------------------------------
 AliVertex* AliVertexerTracks::VertexForSelectedTracks(TTree *trkTree) {
 //
 // Return vertex from tracks in trkTree
 //
 
   // get tracks and propagate them to initial vertex position
-  Int_t nTrks = PrepareTracks(*trkTree);
+  Int_t nTrks = PrepareTracks(*trkTree,1);
   if(nTrks < fMinTracks) {
     printf("TooFewTracks\n");
     Double_t vtx[3]={0,0,0};
@@ -117,43 +228,176 @@ AliVertex* AliVertexerTracks::VertexForSelectedTracks(TTree *trkTree) {
   if(fAlgo==5)  VertexFinder(0);
   return &fVert;
 }
-
 //----------------------------------------------------------------------------
-AliESDVertex* AliVertexerTracks::FindVertex(const AliESD *event) {
+AliESDVertex* AliVertexerTracks::FindPrimaryVertex(const AliESD *esdEvent)
+{
 //
-// This is a simple wrapping (by Jouri.Belikov@cern.ch) over the original
-// code by the authors of this class.
+// Primary vertex for current ESD event
+// (Two iterations: 
+//  1st with 5*fNSigma*sigma(pt) cut w.r.t. to initial vertex; 
+//  2nd with fNSigma*sigma(pt) cut w.r.t. to vertex found in 1st iteration) 
 //
-  Int_t nt=event->GetNumberOfTracks(), nacc=0;
-  while (nt--) {
-    AliESDtrack *t=event->GetTrack(nt);
-    if ((t->GetStatus()&AliESDtrack::kITSrefit)==0) continue;
-    fTrkArray.AddLast(t);
-    nacc++;
+  fCurrentVertex = 0;
+
+  Int_t entr = (Int_t)esdEvent->GetNumberOfTracks();
+  TTree *trkTree = new TTree("TreeT","tracks");
+  AliESDtrack *esdTrack = 0;
+  trkTree->Branch("tracks","AliESDtrack",&esdTrack);
+
+  Bool_t   skipThis;
+  for(Int_t i=0; i<entr; i++) {
+    // check tracks to skip
+    skipThis = kFALSE;
+    for(Int_t j=0; j<fNTrksToSkip; j++) { 
+      if(i==fTrksToSkip[j]) {
+       if(fDebug) printf("skipping track: %d\n",i);
+       skipThis = kTRUE;
+      }
+    }
+    if(skipThis) continue;
+    AliESDtrack *et = esdEvent->GetTrack(i);
+    esdTrack = new AliESDtrack(*et);
+    if(!esdTrack->GetStatus()&AliESDtrack::kITSin) continue;
+    if(!esdTrack->GetStatus()&AliESDtrack::kITSrefit) continue;
+    Int_t nclus=esdTrack->GetNcls(0); // check number of clusters in ITS
+    if(nclus<fMinITSClusters) continue;
+    trkTree->Fill();
+  }
+  delete esdTrack;
+
+  // ITERATION 1
+  // propagate tracks to initVertex
+  // preselect them  (reject for |d0|>5*fNSigma*sigma w.r.t. initVertex)
+  Int_t nTrks;
+  nTrks = PrepareTracks(*trkTree,1);
+  if(fDebug) printf(" tracks prepared - step 1: %d\n",nTrks);
+  if(nTrks < fMinTracks) {
+    printf("TooFewTracks\n");
+    TooFewTracks(esdEvent);
+    if(fDebug) fCurrentVertex->PrintStatus();
+    return fCurrentVertex; 
   }
 
-  // get tracks and propagate them to initial vertex position
-  if(nacc < fMinTracks) {
+  // vertex finder
+  switch (fAlgo) {
+    case 1: StrLinVertexFinderMinDist(1); break;
+    case 2: StrLinVertexFinderMinDist(0); break;
+    case 3: HelixVertexFinder();          break;
+    case 4: VertexFinder(1);              break;
+    case 5: VertexFinder(0);              break;
+    default: printf("Wrong algorithm\n"); break;  
+  }
+  if(fDebug) printf(" vertex finding completed\n");
+
+  // vertex fitter
+  VertexFitter(kTRUE);
+  if(fDebug) printf(" vertex fit completed\n");
+
+  // ITERATION 2
+  // propagate tracks to best between initVertex and fCurrentVertex
+  // preselect tracks (reject for |d0|>fNSigma*sigma w.r.t. best 
+  //                   between initVertex and fCurrentVertex) 
+  nTrks = PrepareTracks(*trkTree,2);
+  delete trkTree;
+  if(fDebug) printf(" tracks prepared - step 2: %d\n",nTrks);
+  if(nTrks < fMinTracks) {
     printf("TooFewTracks\n");
-    Double_t vtx[3]={0,0,0};
-    fVert.SetXYZ(vtx);
-    fVert.SetDispersion(999);
-    fVert.SetNContributors(-5);
-  } else 
-    switch (fAlgo) {
-       case 1: StrLinVertexFinderMinDist(1); break;
-       case 2: StrLinVertexFinderMinDist(0); break;
-       case 3: HelixVertexFinder();          break;
-       case 4: VertexFinder(1);              break;
-       case 5: VertexFinder(0);              break;
-       default: printf("Wrong algorithm\n"); break;  
-    }
+    TooFewTracks(esdEvent);
+    if(fDebug) fCurrentVertex->PrintStatus();
+    return fCurrentVertex; 
+  }
+
+  // vertex finder
+  switch (fAlgo) {
+    case 1: StrLinVertexFinderMinDist(1); break;
+    case 2: StrLinVertexFinderMinDist(0); break;
+    case 3: HelixVertexFinder();          break;
+    case 4: VertexFinder(1);              break;
+    case 5: VertexFinder(0);              break;
+    default: printf("Wrong algorithm\n"); break;  
+  }
+  if(fDebug) printf(" vertex finding completed\n");
+
+  // fitter
+  VertexFitter(kTRUE);
+  if(fDebug) printf(" vertex fit completed\n");
+
 
   fTrkArray.Clear();
-  return &fVert;
+
+  // take true pos from ESD
+  Double_t tp[3];
+  esdEvent->GetVertex()->GetTruePos(tp);
+  fCurrentVertex->SetTruePos(tp);
+  if(fNominalSigma[0]>1.) {
+    fCurrentVertex->SetTitle("VertexerTracksNoConstraint");
+  } else {
+    fCurrentVertex->SetTitle("VertexerTracksWithConstraint");
+  }
+
+  if(fDebug) fCurrentVertex->PrintStatus();
+  if(fTrksToSkip) delete [] fTrksToSkip;
+
+  return fCurrentVertex;
 }
+//----------------------------------------------------------------------------
+AliESDVertex* AliVertexerTracks::FindPrimaryVertexOld(const AliESD *esdEvent)
+{
+//
+// Primary vertex for current ESD event (one iteration with |d0rphi|<3cm)
+//
+  fCurrentVertex = 0;
+
+  Int_t entr = (Int_t)esdEvent->GetNumberOfTracks();
+  TTree *trkTree = new TTree("TreeT","tracks");
+  AliESDtrack *esdTrack = 0;
+  trkTree->Branch("tracks","AliESDtrack",&esdTrack);
+
+  for(Int_t i=0; i<entr; i++) {
+    AliESDtrack *et = esdEvent->GetTrack(i);
+    esdTrack = new AliESDtrack(*et);
+    if(!esdTrack->GetStatus()&AliESDtrack::kITSin) continue;
+    if(!esdTrack->GetStatus()&AliESDtrack::kITSrefit) continue;
+    Int_t nclus=esdTrack->GetNcls(0); // check number of clusters in ITS
+    if(nclus<fMinITSClusters) continue;
+
+    trkTree->Fill();
+  }
+  delete esdTrack;
+
+  // preselect tracks and propagate them to initial vertex position
+  Int_t nTrks = PrepareTracks(*trkTree,1);
+  delete trkTree;
+  if(fDebug) printf(" tracks prepared: %d\n",nTrks);
+  if(nTrks < fMinTracks) {
+    printf("TooFewTracks\n");
+    fCurrentVertex = new AliESDVertex(0.,0.,-1);
+    return fCurrentVertex; 
+  }
 
+  // VERTEX FINDER
+  switch (fAlgo) {
+    case 1: StrLinVertexFinderMinDist(1); break;
+    case 2: StrLinVertexFinderMinDist(0); break;
+    case 3: HelixVertexFinder();          break;
+    case 4: VertexFinder(1);              break;
+    case 5: VertexFinder(0);              break;
+    default: printf("Wrong algorithm\n"); break;  
+  }
+
+  // VERTEX FITTER
+  VertexFitter();
+  if(fDebug) printf(" vertex fit completed\n");
+
+
+  Double_t tp[3];
+  esdEvent->GetVertex()->GetTruePos(tp);
+  fCurrentVertex->SetTruePos(tp);
+  fCurrentVertex->SetTitle("VertexerTracks");
 
+  fTrkArray.Clear();
+  return fCurrentVertex;
+}
 //----------------------------------------------------------------------------
 AliVertex* AliVertexerTracks::VertexForSelectedTracks(TObjArray *trkArray) {
 //
@@ -199,6 +443,7 @@ void AliVertexerTracks::VertexFinder(Int_t optUseWeights) {
   Int_t ncombi = 0;
   AliESDtrack *track1;
   AliESDtrack *track2;
+  Double_t pos[3],dir[3]; 
   Double_t alpha,mindist;
   Double_t field=GetField();
 
@@ -206,20 +451,22 @@ void AliVertexerTracks::VertexFinder(Int_t optUseWeights) {
     track1 = (AliESDtrack*)fTrkArray.At(i);
     alpha=track1->GetAlpha();
     mindist = TMath::Cos(alpha)*fNominalPos[0]+TMath::Sin(alpha)*fNominalPos[1];
+    track1->GetXYZAt(mindist,field,pos);
+    track1->GetPxPyPzAt(mindist,field,dir);
+    AliStrLine *line1 = new AliStrLine(pos,dir); 
 
-    Double_t pos[3]; track1->GetXYZAt(mindist,field,pos);
-    Double_t dir[3]; track1->GetPxPyPzAt(mindist,field,dir);
-    AliStrLine *line1 = new AliStrLine(pos,dir);
+   //    AliStrLine *line1 = new AliStrLine();
+   //    track1->ApproximateHelixWithLine(mindist,field,line1);
    
     for(Int_t j=i+1; j<nacc; j++){
       track2 = (AliESDtrack*)fTrkArray.At(j);
       alpha=track2->GetAlpha();
       mindist = TMath::Cos(alpha)*fNominalPos[0]+TMath::Sin(alpha)*fNominalPos[1];
-
-      Double_t pos[3]; track2->GetXYZAt(mindist,field,pos);
-      Double_t dir[3]; track2->GetPxPyPzAt(mindist,field,dir);
-      AliStrLine *line2 = new AliStrLine(pos,dir);
-
+      track2->GetXYZAt(mindist,field,pos);
+      track2->GetPxPyPzAt(mindist,field,dir);
+      AliStrLine *line2 = new AliStrLine(pos,dir); 
+    //      AliStrLine *line2 = new AliStrLine();
+    //  track2->ApproximateHelixWithLine(mindist,field,line2);
       Double_t distCA=line2->GetDCA(line1);
       if(fDCAcut<=0 || (fDCAcut>0&&distCA<fDCAcut)){
        Double_t pnt1[3],pnt2[3],crosspoint[3];
@@ -381,10 +628,12 @@ void AliVertexerTracks::StrLinVertexFinderMinDist(Int_t optUseWeights){
     track1 = (AliESDtrack*)fTrkArray.At(i);
     Double_t alpha=track1->GetAlpha();
     Double_t mindist = TMath::Cos(alpha)*fNominalPos[0]+TMath::Sin(alpha)*fNominalPos[1];
-
-    Double_t pos[3]; track1->GetXYZAt(mindist,field,pos);
-    Double_t dir[3]; track1->GetPxPyPzAt(mindist,field,dir);
-    AliStrLine *line1 = new AliStrLine(pos,dir);
+    Double_t pos[3],dir[3]; 
+    track1->GetXYZAt(mindist,field,pos);
+    track1->GetPxPyPzAt(mindist,field,dir);
+    AliStrLine *line1 = new AliStrLine(pos,dir); 
+    //    AliStrLine *line1 = new AliStrLine();
+    //    track1->ApproximateHelixWithLine(mindist,field,line1);
 
     Double_t p0[3],cd[3];
     line1->GetP0(p0);
@@ -455,7 +704,7 @@ Double_t AliVertexerTracks::GetDeterminant3X3(Double_t matr[][3]){
  return det;
 }
 //____________________________________________________________________________
-void AliVertexerTracks::GetStrLinDerivMatrix(Double_t *p0,Double_t *p1,Double_t m[][3],Double_t *d){
+void AliVertexerTracks::GetStrLinDerivMatrix(Double_t *p0,Double_t *p1,Double_t (*m)[3],Double_t *d){
 
   //
   Double_t x12=p0[0]-p1[0];
@@ -477,7 +726,7 @@ void AliVertexerTracks::GetStrLinDerivMatrix(Double_t *p0,Double_t *p1,Double_t
 
 }
 //____________________________________________________________________________
-void AliVertexerTracks::GetStrLinDerivMatrix(Double_t *p0,Double_t *p1,Double_t *sigmasq,Double_t m[][3],Double_t *d){
+void AliVertexerTracks::GetStrLinDerivMatrix(Double_t *p0,Double_t *p1,Double_t *sigmasq,Double_t (*m)[3],Double_t *d){
   //
   Double_t x12=p1[0]-p0[0];
   Double_t y12=p1[1]-p0[1];
@@ -517,7 +766,7 @@ void AliVertexerTracks::GetStrLinDerivMatrix(Double_t *p0,Double_t *p1,Double_t
   d[1]=-ww*(aa[1]*kk+2*cc[1])-2*ss*aa[1]+2*p0[1]/sigmasq[1];
   d[2]=-ww*(aa[2]*kk+2*cc[2])-2*ss*aa[2]+2*p0[2]/sigmasq[2];
 
-}
+  }
 //_____________________________________________________________________________
 Double_t AliVertexerTracks::GetStrLinMinDist(Double_t *p0,Double_t *p1,Double_t *x0){
   //
@@ -529,3 +778,208 @@ Double_t AliVertexerTracks::GetStrLinMinDist(Double_t *p0,Double_t *p1,Double_t
   Double_t z10=p0[2]-x0[2];
   return ((x10*x10+y10*y10+z10*z10)*(x12*x12+y12*y12+z12*z12)-(x10*x12+y10*y12+z10*z12)*(x10*x12+y10*y12+z10*z12))/(x12*x12+y12*y12+z12*z12);
 }
+//---------------------------------------------------------------------------
+void AliVertexerTracks::VertexFitter(Bool_t useNominalVtx) {
+//
+// The optimal estimate of the vertex position is given by a "weighted 
+// average of tracks positions"
+// Original method: CMS Note 97/0051
+//
+  Double_t initPos[3];
+  fVert.GetXYZ(initPos);
+  if(fDebug) { 
+    printf(" VertexFitter(): start\n");
+    printf(" Number of tracks in array: %d\n",(Int_t)fTrkArray.GetEntriesFast());
+    printf(" Minimum # tracks required in fit: %d\n",fMinTracks);
+    printf("Vertex position after finder: %f,%f,%f\n",initPos[0],initPos[1],initPos[2]);
+    if(useNominalVtx) printf(" This vertex will be used in fit: (%f+-%f,%f+-%f)\n",fNominalPos[0],fNominalSigma[0],fNominalPos[1],fNominalSigma[1]); 
+  }
+
+  Int_t i,j,k,step=0;
+  TMatrixD rv(3,1);
+  TMatrixD vV(3,3);
+  rv(0,0) = initPos[0];
+  rv(1,0) = initPos[1];
+  rv(2,0) = 0.;
+  Double_t xlStart,alpha;
+  Double_t rotAngle;
+  Double_t cosRot,sinRot;
+  Double_t cc[15];
+  Int_t nUsedTrks;
+  Double_t chi2,chi2i;
+  Int_t arrEntries = (Int_t)fTrkArray.GetEntries();
+  AliESDtrack *t = 0;
+  Int_t failed = 0;
+
+  // 2 steps:
+  // 1st - estimate of vtx using all tracks
+  // 2nd - estimate of global chi2
+  for(step=0; step<2; step++) {
+    if(fDebug) printf(" step = %d\n",step);
+    chi2 = 0.;
+    nUsedTrks = 0;
+
+    TMatrixD sumWiri(3,1);
+    TMatrixD sumWi(3,3);
+    for(i=0; i<3; i++) {
+      sumWiri(i,0) = 0.;
+      for(j=0; j<3; j++) sumWi(j,i) = 0.;
+    }
+
+    if(useNominalVtx) {
+      for(i=0; i<3; i++) {
+       sumWiri(i,0) += fNominalPos[i]/fNominalSigma[i]/fNominalSigma[i];
+       sumWi(i,i)   += 1./fNominalSigma[i]/fNominalSigma[i];
+      }
+    }
+
+
+    // loop on tracks  
+    for(k=0; k<arrEntries; k++) {
+      // get track from track array
+      t = (AliESDtrack*)fTrkArray.At(k);
+      alpha = t->GetAlpha();
+      xlStart = initPos[0]*TMath::Cos(alpha)+initPos[1]*TMath::Sin(alpha);
+      t->AliExternalTrackParam::PropagateTo(xlStart,AliTracker::GetBz());   // to vtxSeed
+      rotAngle = alpha;
+      if(alpha<0.) rotAngle += 2.*TMath::Pi();
+      cosRot = TMath::Cos(rotAngle);
+      sinRot = TMath::Sin(rotAngle);
+      
+      // vector of track global coordinates
+      TMatrixD ri(3,1);
+      ri(0,0) = t->GetX()*cosRot-t->GetY()*sinRot;
+      ri(1,0) = t->GetX()*sinRot+t->GetY()*cosRot;
+      ri(2,0) = t->GetZ();
+
+      // matrix to go from global (x,y,z) to local (y,z);
+      TMatrixD qQi(2,3);
+      qQi(0,0) = -sinRot;
+      qQi(0,1) = cosRot;
+      qQi(0,2) = 0.;
+      qQi(1,0) = 0.;
+      qQi(1,1) = 0.;
+      qQi(1,2) = 1.;
+
+      // covariance matrix of local (y,z) - inverted
+      TMatrixD uUi(2,2);
+      t->GetExternalCovariance(cc);
+      uUi(0,0) = cc[0];
+      uUi(0,1) = cc[1];
+      uUi(1,0) = cc[1];
+      uUi(1,1) = cc[2];
+
+      // weights matrix: wWi = qQiT * uUiInv * qQi
+      if(uUi.Determinant() <= 0.) continue;
+      TMatrixD uUiInv(TMatrixD::kInverted,uUi);
+      TMatrixD uUiInvQi(uUiInv,TMatrixD::kMult,qQi);
+      TMatrixD wWi(qQi,TMatrixD::kTransposeMult,uUiInvQi);
+
+      // track chi2
+      TMatrixD deltar = rv; deltar -= ri;
+      TMatrixD wWideltar(wWi,TMatrixD::kMult,deltar);
+      chi2i = deltar(0,0)*wWideltar(0,0)+
+              deltar(1,0)*wWideltar(1,0)+
+             deltar(2,0)*wWideltar(2,0);
+
+
+      // add to total chi2
+      chi2 += chi2i;
+
+      TMatrixD wWiri(wWi,TMatrixD::kMult,ri); 
+
+      sumWiri += wWiri;
+      sumWi   += wWi;
+
+      nUsedTrks++;
+    } // end loop on tracks
+
+    if(nUsedTrks < fMinTracks) {
+      failed=1;
+      continue;
+    }
+
+    Double_t determinant = sumWi.Determinant();
+    //cerr<<" determinant: "<<determinant<<endl;
+    if(determinant < 100.)  { 
+      printf("det(V) = 0\n");       
+      failed=1;
+      continue;
+    }
+
+    // inverted of weights matrix
+    TMatrixD invsumWi(TMatrixD::kInverted,sumWi);
+    vV = invsumWi;
+     
+    // position of primary vertex
+    rv.Mult(vV,sumWiri);
+
+  } // end loop on the 2 steps
+
+  delete t;
+
+  if(failed) { 
+    printf("TooFewTracks\n");
+    fCurrentVertex = new AliESDVertex(0.,0.,-1);
+    return; 
+  }
+
+  Double_t position[3];
+  position[0] = rv(0,0);
+  position[1] = rv(1,0);
+  position[2] = rv(2,0);
+  Double_t covmatrix[6];
+  covmatrix[0] = vV(0,0);
+  covmatrix[1] = vV(0,1);
+  covmatrix[2] = vV(1,1);
+  covmatrix[3] = vV(0,2);
+  covmatrix[4] = vV(1,2);
+  covmatrix[5] = vV(2,2);
+  
+  // store data in the vertex object
+  fCurrentVertex = new AliESDVertex(position,covmatrix,chi2,nUsedTrks);
+
+  if(fDebug) {
+    printf(" VertexFitter(): finish\n");
+    printf(" rv = ( %f , %f , %f )\n\n",rv(0,0),rv(1,0),rv(2,0));
+    fCurrentVertex->PrintStatus();
+  }
+
+  return;
+}
+//---------------------------------------------------------------------------
+void AliVertexerTracks::TooFewTracks(const AliESD* esdEvent) {
+//
+// When the number of tracks is < fMinTracks
+//
+
+  // deal with vertices not found
+  Double_t pos[3],err[3];
+  Int_t    ncontr=0;
+  pos[0] = fNominalPos[0];
+  err[0] = fNominalSigma[0];
+  pos[1] = fNominalPos[1];
+  err[1] = fNominalSigma[1];
+  pos[2] = esdEvent->GetVertex()->GetZv();
+  err[2] = esdEvent->GetVertex()->GetZRes();
+  if(err[0]>1. && esdEvent->GetVertex()->GetNContributors()<=0) 
+    ncontr = -1; // (x,y,z) = (0,0,0) 
+  if(err[0]>1. && esdEvent->GetVertex()->GetNContributors()>0) 
+    ncontr = -2; // (x,y,z) = (0,0,z_fromSPD) 
+  if(err[0]<1. && esdEvent->GetVertex()->GetNContributors()<=0) 
+    ncontr = -3; // (x,y,z) = (x_mean,y_mean,0)
+  if(err[0]<1. && esdEvent->GetVertex()->GetNContributors()>0) 
+    ncontr = -4; // (x,y,z) = (x_mean,y_mean,z_fromSPD)
+  fCurrentVertex = 0;
+  fCurrentVertex = new AliESDVertex(pos,err);
+  fCurrentVertex->SetNContributors(ncontr);
+
+  Double_t tp[3];
+  esdEvent->GetVertex()->GetTruePos(tp);
+  fCurrentVertex->SetTruePos(tp);
+  fCurrentVertex->SetTitle("VertexerTracksWithConstraint");
+  if(ncontr==-1||ncontr==-2) 
+    fCurrentVertex->SetTitle("VertexerTracksNoConstraint");
+
+  return;
+}