]> git.uio.no Git - u/mrichter/AliRoot.git/blobdiff - STEER/AliVertexerTracks.cxx
removal of obsolete classes - cleanup of AliITSClusterFinder.cxx
[u/mrichter/AliRoot.git] / STEER / AliVertexerTracks.cxx
index 1d6272ed354901cedd12cd64f0dcbdc031b8641c..f80301832c489aeafa895328a9c50e95d1ca7139 100644 (file)
 
 //---- Root headers --------
 #include <TTree.h>
+#include <TMatrixD.h>
 //---- AliRoot headers -----
 #include "AliStrLine.h"
 #include "AliVertexerTracks.h"
+#include "AliESD.h"
 #include "AliESDtrack.h"
 
 ClassImp(AliVertexerTracks)
@@ -37,114 +39,837 @@ ClassImp(AliVertexerTracks)
 
 //----------------------------------------------------------------------------
 AliVertexerTracks::AliVertexerTracks():
- TObject(),fVert() 
+TObject(),
+fVert(),
+fCurrentVertex(0),
+fConstraint(kFALSE),
+fOnlyFitter(kFALSE),
+fMinTracks(1),
+fMinITSClusters(5),
+fTrkArray(),
+fTrksToSkip(0),
+fNTrksToSkip(0),
+fDCAcut(0),
+fAlgo(1),
+fNSigma(3),
+fMaxd0z0(0.5),
+fITSin(kTRUE),
+fITSrefit(kTRUE),
+fDebug(0)
 {
 //
 // Default constructor
 //
   SetVtxStart();
+  SetVtxStartSigma();
   SetMinTracks();
-  fDCAcut=0;
-  fAlgo=1;
+  SetMinITSClusters();
+  SetNSigmad0(); 
+  SetMaxd0z0(); 
 }
 //-----------------------------------------------------------------------------
 AliVertexerTracks::AliVertexerTracks(Double_t xStart, Double_t yStart):
- TObject(),fVert() 
+TObject(),
+fVert(),
+fCurrentVertex(0),
+fConstraint(kFALSE),
+fOnlyFitter(kFALSE),
+fMinTracks(1),
+fMinITSClusters(5),
+fTrkArray(),
+fTrksToSkip(0),
+fNTrksToSkip(0),
+fDCAcut(0),
+fAlgo(1),
+fNSigma(3),
+fMaxd0z0(0.5),
+fITSin(kTRUE),
+fITSrefit(kTRUE),
+fDebug(0)
 {
 //
 // Standard constructor
 //
   SetVtxStart(xStart,yStart);
+  SetVtxStartSigma();
   SetMinTracks();
-  fDCAcut=0;
-  fAlgo=1;
+  SetMinITSClusters();
+  SetNSigmad0(); 
+  SetMaxd0z0(); 
 }
 //-----------------------------------------------------------------------------
-AliVertexerTracks::~AliVertexerTracks() {
+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;
+}
+//----------------------------------------------------------------------------
+AliESDVertex* AliVertexerTracks::FindPrimaryVertex(const AliESD *esdEvent)
+{
+//
+// Primary vertex for current ESD event
+// (Two iterations: 
+//  1st with 5*fNSigma*sigma cut w.r.t. to initial vertex
+//      + cut on sqrt(d0d0+z0z0) if fConstraint=kFALSE  
+//  2nd with fNSigma*sigma cut w.r.t. to vertex found in 1st iteration) 
+// All ESD tracks with inside the beam pipe are then propagated to found vertex
+//
+  fCurrentVertex = 0;
+
+  // read tracks from ESD
+  Int_t nTrksTot = (Int_t)esdEvent->GetNumberOfTracks();
+  if (nTrksTot<=0) {
+    if(fDebug) printf("TooFewTracks\n");
+    TooFewTracks(esdEvent);
+    return fCurrentVertex;
+  } 
+
+  TTree *trkTree = new TTree("TreeT","tracks");
+  AliESDtrack *esdTrack = 0;
+  trkTree->Branch("tracks","AliESDtrack",&esdTrack);
+
+  Bool_t   skipThis;
+  for(Int_t i=0; i<nTrksTot; i++) {
+    AliESDtrack *et = esdEvent->GetTrack(i);
+    esdTrack = new AliESDtrack(*et);
+    // check tracks to skip
+    skipThis = kFALSE;
+    for(Int_t j=0; j<fNTrksToSkip; j++) { 
+      if(et->GetID()==fTrksToSkip[j]) {
+       if(fDebug) printf("skipping track: %d\n",i);
+       skipThis = kTRUE;
+      }
+    }
+    if(skipThis) {delete esdTrack;continue;}
+    if(fITSin) {
+      if(!(esdTrack->GetStatus()&AliESDtrack::kITSin)) {delete esdTrack;continue;}
+      if(fITSrefit && !(esdTrack->GetStatus()&AliESDtrack::kITSrefit)) {delete esdTrack;continue;}
+      Int_t nclus=esdTrack->GetNcls(0); // check number of clusters in ITS
+      if(nclus<fMinITSClusters) {delete esdTrack;continue;}
+    }
+    trkTree->Fill();
+    delete esdTrack;
+  }
+  
+  // If fConstraint=kFALSE
+  // run VertexFinder(1) to get rough estimate of initVertex (x,y)
+  if(!fConstraint) {
+    // fill fTrkArray, for VertexFinder()
+    if(!fTrkArray.IsEmpty()) fTrkArray.Delete();
+    PrepareTracks(*trkTree,0);
+    Double_t cutsave = fDCAcut;  fDCAcut = 0.1; // 1 mm
+    VertexFinder(1); // using weights, cutting dca < fDCAcut
+    fDCAcut = cutsave;
+    fTrkArray.Delete();
+    if(fVert.GetNContributors()>0) {
+      fVert.GetXYZ(fNominalPos);
+      fNominalPos[0] = fVert.GetXv();
+      fNominalPos[1] = fVert.GetYv();
+      fNominalPos[2] = fVert.GetZv();
+      if(fDebug) printf("No mean vertex: VertexFinder gives (%f, %f, %f)\n",fNominalPos[0],fNominalPos[1],fNominalPos[2]);
+    } else {
+      fNominalPos[0] = 0.;
+      fNominalPos[1] = 0.;
+      fNominalPos[2] = 0.;
+      if(fDebug) printf("No mean vertex and VertexFinder failed\n");
+    }
+  }
+  
+  // TWO ITERATIONS:
+  //
+  // ITERATION 1
+  // propagate tracks to fNominalPos vertex
+  // preselect them:
+  // if(constraint) reject for |d0|>5*fNSigma*sigma w.r.t. fNominal... vertex
+  // else  reject for |d0|\oplus|z0| > 5 mm w.r.t. fNominal... vertex
+  // 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) 
+  for(Int_t iter=0; iter<2; iter++) {
+    if(fOnlyFitter && iter==0) continue; 
+    Int_t nTrksPrep = PrepareTracks(*trkTree,iter+1);
+    if(fDebug) printf(" tracks prepared - iteration %d: %d\n",iter+1,nTrksPrep);
+    if(nTrksPrep < fMinTracks) {
+      if(fDebug) printf("TooFewTracks\n");
+      TooFewTracks(esdEvent);
+      if(fDebug) fCurrentVertex->PrintStatus();
+      fTrkArray.Delete();
+      delete trkTree;
+      return fCurrentVertex; 
+    }
+
+    // vertex finder
+    if(!fOnlyFitter) {
+      if(nTrksPrep==1){
+       if(fDebug) printf("Just one track\n");
+       OneTrackVertFinder();
+      }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;  
+       }
+      }
+      if(fDebug) printf(" Vertex finding completed\n");
+    }
+
+    // vertex fitter
+    VertexFitter(fConstraint);
+    if(fDebug) printf(" Vertex fit completed\n");
+    if(iter==0) fTrkArray.Delete();
+  } // end loop on the two iterations
+
+
+  // take true pos from SPD vertex in ESD and write it in tracks' vertex
+  Double_t tp[3];
+  esdEvent->GetVertex()->GetTruePos(tp);
+  fCurrentVertex->SetTruePos(tp);
+
+  if(fConstraint) {
+    if(fOnlyFitter) {
+      fCurrentVertex->SetTitle("VertexerTracksWithConstraintOnlyFitter");
+    } else {
+      fCurrentVertex->SetTitle("VertexerTracksWithConstraint");
+    }
+  } else {
+    fCurrentVertex->SetTitle("VertexerTracksNoConstraint");
+  }
+
+    
+  // set indices of used tracks
+  UShort_t *indices = 0;
+  AliESDtrack *ett = 0;
+  if(fCurrentVertex->GetNContributors()>0) {
+    indices = new UShort_t[fCurrentVertex->GetNContributors()];
+    for(Int_t jj=0;jj<(Int_t)fTrkArray.GetEntriesFast();jj++) {
+      ett = (AliESDtrack*)fTrkArray.At(jj);
+      indices[jj] = (UShort_t)ett->GetID();
+    }
+    fCurrentVertex->SetIndices(fCurrentVertex->GetNContributors(),indices);
+  }
+  delete [] indices;
+
+  delete trkTree;
+  
+  fTrkArray.Delete();
+
+  if(fTrksToSkip) delete [] fTrksToSkip;
+
+
+  if(fDebug) fCurrentVertex->PrintStatus();
+  if(fDebug) fCurrentVertex->PrintIndices();
+
+  
+  return fCurrentVertex;
+}
+//------------------------------------------------------------------------
+Double_t AliVertexerTracks::GetDeterminant3X3(Double_t matr[][3])
+{
+  //
+  Double_t det=matr[0][0]*matr[1][1]*matr[2][2]-matr[0][0]*matr[1][2]*matr[2][1]-matr[0][1]*matr[1][0]*matr[2][2]+matr[0][1]*matr[1][2]*matr[2][0]+matr[0][2]*matr[1][0]*matr[2][1]-matr[0][2]*matr[1][1]*matr[2][0];
+ return det;
+}
+//-------------------------------------------------------------------------
+void AliVertexerTracks::GetStrLinDerivMatrix(Double_t *p0,Double_t *p1,Double_t (*m)[3],Double_t *d)
+{
+  //
+  Double_t x12=p0[0]-p1[0];
+  Double_t y12=p0[1]-p1[1];
+  Double_t z12=p0[2]-p1[2];
+  Double_t kk=x12*x12+y12*y12+z12*z12;
+  m[0][0]=2-2/kk*x12*x12;
+  m[0][1]=-2/kk*x12*y12;
+  m[0][2]=-2/kk*x12*z12;
+  m[1][0]=-2/kk*x12*y12;
+  m[1][1]=2-2/kk*y12*y12;
+  m[1][2]=-2/kk*y12*z12;
+  m[2][0]=-2/kk*x12*z12;
+  m[2][1]=-2*y12*z12;
+  m[2][2]=2-2/kk*z12*z12;
+  d[0]=2*p0[0]-2/kk*p0[0]*x12*x12-2/kk*p0[2]*x12*z12-2/kk*p0[1]*x12*y12;
+  d[1]=2*p0[1]-2/kk*p0[1]*y12*y12-2/kk*p0[0]*x12*y12-2/kk*p0[2]*z12*y12;
+  d[2]=2*p0[2]-2/kk*p0[2]*z12*z12-2/kk*p0[0]*x12*z12-2/kk*p0[1]*z12*y12;
+
+}
+//--------------------------------------------------------------------------  
+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];
+  Double_t z12=p1[2]-p0[2];
+
+  Double_t den= x12*x12*sigmasq[1]*sigmasq[2]+y12*y12*sigmasq[0]*sigmasq[2]+z12*z12*sigmasq[0]*sigmasq[1];
+
+  Double_t kk= 2*(x12*x12/sigmasq[0]+y12*y12/sigmasq[1]+z12*z12/sigmasq[2]);
+
+  Double_t cc[3];
+  cc[0]=-x12/sigmasq[0];
+  cc[1]=-y12/sigmasq[1];
+  cc[2]=-z12/sigmasq[2];
+
+  Double_t ww=(-p0[0]*x12*sigmasq[1]*sigmasq[2]-p0[1]*y12*sigmasq[0]*sigmasq[2]-p0[2]*z12*sigmasq[0]*sigmasq[1])/den;
+
+  Double_t ss= -p0[0]*cc[0]-p0[1]*cc[1]-p0[2]*cc[2];
+
+  Double_t aa[3];
+  aa[0]=x12*sigmasq[1]*sigmasq[2]/den;
+  aa[1]=y12*sigmasq[0]*sigmasq[2]/den;
+  aa[2]=z12*sigmasq[0]*sigmasq[1]/den;
+
+  m[0][0]=aa[0]*(aa[0]*kk+2*cc[0])+2*cc[0]*aa[0]+2/sigmasq[0];
+  m[0][1]=aa[1]*(aa[0]*kk+2*cc[0])+2*cc[1]*aa[0];
+  m[0][2]=aa[2]*(aa[0]*kk+2*cc[0])+2*cc[2]*aa[0];
+
+  m[1][0]=aa[0]*(aa[1]*kk+2*cc[1])+2*cc[0]*aa[1];
+  m[1][1]=aa[1]*(aa[1]*kk+2*cc[1])+2*cc[1]*aa[1]+2/sigmasq[1];
+  m[1][2]=aa[2]*(aa[1]*kk+2*cc[1])+2*cc[2]*aa[1];
+
+  m[2][0]=aa[0]*(aa[2]*kk+2*cc[2])+2*cc[0]*aa[2];
+  m[2][1]=aa[1]*(aa[2]*kk+2*cc[2])+2*cc[1]*aa[2];
+  m[2][2]=aa[2]*(aa[2]*kk+2*cc[2])+2*cc[2]*aa[2]+2/sigmasq[2];
+
+  d[0]=-ww*(aa[0]*kk+2*cc[0])-2*ss*aa[0]+2*p0[0]/sigmasq[0];
+  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)
+{
+  //
+  Double_t x12=p0[0]-p1[0];
+  Double_t y12=p0[1]-p1[1];
+  Double_t z12=p0[2]-p1[2];
+  Double_t x10=p0[0]-x0[0];
+  Double_t y10=p0[1]-x0[1];
+  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::OneTrackVertFinder() 
+{
+  // find vertex for events with 1 track, using DCA to nominal beam axis
+  if(fDebug) printf("Number of prepared tracks =%d - Call OneTrackVertFinder",fTrkArray.GetEntries());
+  AliESDtrack *track1;
+  track1 = (AliESDtrack*)fTrkArray.At(0);
+  Double_t field=GetField();
+  Double_t alpha=track1->GetAlpha();
+  Double_t mindist = TMath::Cos(alpha)*fNominalPos[0]+TMath::Sin(alpha)*fNominalPos[1];
+  Double_t pos[3],dir[3]; 
+  track1->GetXYZAt(mindist,field,pos);
+  track1->GetPxPyPzAt(mindist,field,dir);
+  AliStrLine *line1 = new AliStrLine(pos,dir);
+  Double_t p1[3]={fNominalPos[0],fNominalPos[1],0.}; 
+  Double_t p2[3]={fNominalPos[0],fNominalPos[1],10.}; 
+  AliStrLine *zeta=new AliStrLine(p1,p2,kTRUE);
+  Double_t crosspoint[3]={0.,0.,0.};
+  Double_t sigma=999.;
+  Int_t nContrib=-1;
+  Int_t retcode = zeta->Cross(line1,crosspoint);
+  if(retcode>=0){
+    sigma=line1->GetDistFromPoint(crosspoint);
+    nContrib=1;
+  }
+  delete zeta;
+  delete line1;
+  fVert.SetXYZ(crosspoint);
+  fVert.SetDispersion(sigma);
+  fVert.SetNContributors(nContrib);  
+}
+//---------------------------------------------------------------------------
+void AliVertexerTracks::HelixVertexFinder() 
+{
+  // Get estimate of vertex position in (x,y) from tracks DCA
+
+
+  Double_t initPos[3];
+  initPos[2] = 0.;
+  for(Int_t i=0;i<2;i++)initPos[i]=fNominalPos[i];
+  Double_t field=GetField();
+
+  Int_t nacc = (Int_t)fTrkArray.GetEntriesFast();
+
+  Double_t aver[3]={0.,0.,0.};
+  Double_t averquad[3]={0.,0.,0.};
+  Double_t sigmaquad[3]={0.,0.,0.};
+  Double_t sigma=0;
+  Int_t ncombi = 0;
+  AliESDtrack *track1;
+  AliESDtrack *track2;
+  Double_t distCA;
+  Double_t x, par[5];
+  Double_t alpha, cs, sn;
+  Double_t crosspoint[3];
+  for(Int_t i=0; i<nacc; i++){
+    track1 = (AliESDtrack*)fTrkArray.At(i);
+    
+
+    for(Int_t j=i+1; j<nacc; j++){
+      track2 = (AliESDtrack*)fTrkArray.At(j);
+
+      distCA=track2->PropagateToDCA(track1,field);
+      if(fDCAcut<=0 ||(fDCAcut>0&&distCA<fDCAcut)){
+       track1->GetExternalParameters(x,par);
+       alpha=track1->GetAlpha();
+       cs=TMath::Cos(alpha); sn=TMath::Sin(alpha);
+       Double_t x1=x*cs - par[0]*sn;
+       Double_t y1=x*sn + par[0]*cs;
+       Double_t z1=par[1];
+       Double_t sx1=sn*sn*track1->GetSigmaY2(), sy1=cs*cs*track1->GetSigmaY2(); 
+       track2->GetExternalParameters(x,par);
+       alpha=track2->GetAlpha();
+       cs=TMath::Cos(alpha); sn=TMath::Sin(alpha);
+       Double_t x2=x*cs - par[0]*sn;
+       Double_t y2=x*sn + par[0]*cs;
+       Double_t z2=par[1];
+       Double_t sx2=sn*sn*track2->GetSigmaY2(), sy2=cs*cs*track2->GetSigmaY2();
+       Double_t sz1=track1->GetSigmaZ2(), sz2=track2->GetSigmaZ2();
+       Double_t wx1=sx2/(sx1+sx2), wx2=1.- wx1;
+       Double_t wy1=sy2/(sy1+sy2), wy2=1.- wy1;
+       Double_t wz1=sz2/(sz1+sz2), wz2=1.- wz1;
+       crosspoint[0]=wx1*x1 + wx2*x2; 
+       crosspoint[1]=wy1*y1 + wy2*y2; 
+       crosspoint[2]=wz1*z1 + wz2*z2;
+
+       ncombi++;
+       for(Int_t jj=0;jj<3;jj++)aver[jj]+=crosspoint[jj];
+       for(Int_t jj=0;jj<3;jj++)averquad[jj]+=(crosspoint[jj]*crosspoint[jj]);
+      }
+    }
+      
+  }
+  if(ncombi>0){
+    for(Int_t jj=0;jj<3;jj++){
+      initPos[jj] = aver[jj]/ncombi;
+      averquad[jj]/=ncombi;
+      sigmaquad[jj]=averquad[jj]-initPos[jj]*initPos[jj];
+      sigma+=sigmaquad[jj];
+    }
+    sigma=TMath::Sqrt(TMath::Abs(sigma));
+  }
+  else {
+    Warning("HelixVertexFinder","Finder did not succed");
+    sigma=999;
+  }
+  fVert.SetXYZ(initPos);
+  fVert.SetDispersion(sigma);
+  fVert.SetNContributors(ncombi);
 }
 //----------------------------------------------------------------------------
-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; 
+  Double_t maxd0z0 = fMaxd0z0; // default is 5 mm  
   Int_t    nTrks    = 0;
+  Double_t sigmaCurr[3];
+  Double_t normdistx,normdisty;
+  Float_t  d0z0[2],covd0z0[3]; 
+  Double_t sigma;
+  Double_t field=GetField();
+
+  AliESDVertex *initVertex = new AliESDVertex(fNominalPos,fNominalCov,1,1);
 
   Int_t    nEntries = (Int_t)trkTree.GetEntries();
-  if(!fTrkArray.IsEmpty()) fTrkArray.Clear();
-  fTrkArray.Expand(nEntries);
+  if(!fTrkArray.IsEmpty()) fTrkArray.Delete();
+
+  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 || fOnlyFitter) { // optImpParCut==1 or 0
+      track->RelateToVertex(initVertex,field,100.);
+    } else {              // optImpParCut==2
+      fCurrentVertex->GetSigmaXYZ(sigmaCurr);
+      normdistx = TMath::Abs(fCurrentVertex->GetXv()-fNominalPos[0])/TMath::Sqrt(sigmaCurr[0]*sigmaCurr[0]+fNominalCov[0]);
+      normdisty = TMath::Abs(fCurrentVertex->GetYv()-fNominalPos[1])/TMath::Sqrt(sigmaCurr[1]*sigmaCurr[1]+fNominalCov[2]);
+      if(normdistx < 3. && normdisty < 3. &&
+        (sigmaCurr[0]+sigmaCurr[1])<(TMath::Sqrt(fNominalCov[0])+TMath::Sqrt(fNominalCov[2]))) {
+       track->RelateToVertex(fCurrentVertex,field,100.);
+      } else {
+       track->RelateToVertex(initVertex,field,100.);
+      }
+    }
+
+    track->GetImpactParameters(d0z0,covd0z0);
+    sigma = TMath::Sqrt(covd0z0[0]);
+    maxd0rphi = fNSigma*sigma;
+    if(optImpParCut==1) maxd0rphi *= 5.;
+
+
+
+    if(fDebug) printf("trk %d; lab %d; |d0| = %f;  d0 cut = %f; |z0| = %f; |d0|oplus|z0| = %f; d0z0 cut = %f\n",i,track->GetLabel(),TMath::Abs(d0z0[0]),maxd0rphi,TMath::Abs(d0z0[1]),TMath::Sqrt(d0z0[0]*d0z0[0]+d0z0[1]*d0z0[1]),maxd0z0);
+
+    // during iterations 1 and 2, if fConstraint=kFALSE,
+    // select tracks with d0oplusz0 < maxd0z0
+    if(optImpParCut>=1 && !fConstraint && nEntries>=3 && 
+       fVert.GetNContributors()>0) {
+      if(TMath::Sqrt(d0z0[0]*d0z0[0]+d0z0[1]*d0z0[1]) > maxd0z0) { 
+       if(fDebug) printf("     rejected\n");
+       delete track; continue; 
+      }
+    }
+
+    // select tracks with d0rphi < maxd0rphi
+    if(optImpParCut>0 && TMath::Abs(d0z0[0]) > maxd0rphi) { 
+      if(fDebug) printf("     rejected\n");
+      delete track; continue; 
+    }
+
     fTrkArray.AddLast(track);
     nTrks++; 
   }
+
+  delete initVertex;
+
   return nTrks;
 } 
-//----------------------------------------------------------------------------
-AliVertex* AliVertexerTracks::VertexForSelectedTracks(TTree *trkTree) {
+//---------------------------------------------------------------------------
+AliESDVertex* AliVertexerTracks::RemoveTracksFromVertex(AliESDVertex *inVtx,
+                                                       TTree *trksTree,
+                                                       Float_t *diamondxy) 
+{
 //
-// Return vertex from tracks in trkTree
+// Removes tracks in trksTree from fit of inVtx
 //
 
-  // get tracks and propagate them to initial vertex position
-  Int_t nTrks = PrepareTracks(*trkTree);
-  if(nTrks < fMinTracks) {
-    printf("TooFewTracks\n");
-    Double_t vtx[3]={0,0,0};
-    fVert.SetXYZ(vtx);
-    fVert.SetDispersion(999);
-    fVert.SetNContributors(-5);
-    return &fVert;
+  if(!strstr(inVtx->GetTitle(),"VertexerTracksWithConstraintOnlyFitter"))
+    printf("WARNING: result of tracks' removal will be only approximately correct\n");
+
+  TMatrixD rv(3,1);
+  rv(0,0) = inVtx->GetXv();
+  rv(1,0) = inVtx->GetYv();
+  rv(2,0) = inVtx->GetZv();
+  TMatrixD vV(3,3);
+  Double_t cov[6];
+  inVtx->GetCovMatrix(cov);
+  vV(0,0) = cov[0];
+  vV(0,1) = cov[1]; vV(1,0) = cov[1];
+  vV(1,1) = cov[2];
+  vV(0,2) = cov[3]; vV(2,0) = cov[3];
+  vV(1,2) = cov[4]; vV(2,1) = cov[4]; 
+  vV(2,2) = cov[5];
+
+  TMatrixD sumWi(TMatrixD::kInverted,vV);
+  TMatrixD sumWiri(sumWi,TMatrixD::kMult,rv);
+
+  Int_t nUsedTrks = inVtx->GetNContributors();
+  Double_t chi2 = inVtx->GetChi2();
+
+  AliESDtrack *track = 0;
+  trksTree->SetBranchAddress("tracks",&track);
+  Int_t ntrks = trksTree->GetEntries();
+  for(Int_t i=0;i<ntrks;i++) {
+    trksTree->GetEvent(i);
+    if(!inVtx->UsesTrack(track->GetID())) {
+      printf("track %d was not used in vertex fit\n",track->GetID());
+      continue;
+    }
+    Double_t alpha = track->GetAlpha();
+    Double_t xl = diamondxy[0]*TMath::Cos(alpha)+diamondxy[1]*TMath::Sin(alpha);
+    track->AliExternalTrackParam::PropagateTo(xl,AliTracker::GetBz()); 
+    // vector of track global coordinates
+    TMatrixD ri(3,1);
+    // covariance matrix of ri
+    TMatrixD wWi(3,3);
+    
+    // get space point from track
+    if(!TrackToPoint(track,ri,wWi)) continue;
+
+    TMatrixD wWiri(wWi,TMatrixD::kMult,ri); 
+
+    sumWi -= wWi;
+    sumWiri -= wWiri;
+
+    // track chi2
+    TMatrixD deltar = rv; deltar -= ri;
+    TMatrixD wWideltar(wWi,TMatrixD::kMult,deltar);
+    Double_t chi2i = deltar(0,0)*wWideltar(0,0)+
+                     deltar(1,0)*wWideltar(1,0)+
+                    deltar(2,0)*wWideltar(2,0);
+    // remove from total chi2
+    chi2 -= chi2i;
+
+    nUsedTrks--;
+    if(nUsedTrks<2) {
+      printf("Trying to remove too many tracks!\n");
+      return 0x0;
+    }
   }
-  // Set initial vertex position from ESD
-  if(fAlgo==1)  StrLinVertexFinderMinDist(1);
-  if(fAlgo==2)  StrLinVertexFinderMinDist(0);
-  if(fAlgo==3)  HelixVertexFinder();
-  if(fAlgo==4)  VertexFinder(1);
-  if(fAlgo==5)  VertexFinder(0);
-  return &fVert;
+
+  TMatrixD rvnew(3,1);
+  TMatrixD vVnew(3,3);
+
+  // new inverted of weights matrix
+  TMatrixD invsumWi(TMatrixD::kInverted,sumWi);
+  vVnew = invsumWi;
+  // new position of primary vertex
+  rvnew.Mult(vVnew,sumWiri);
+
+  Double_t position[3];
+  position[0] = rvnew(0,0);
+  position[1] = rvnew(1,0);
+  position[2] = rvnew(2,0);
+  cov[0] = vVnew(0,0);
+  cov[1] = vVnew(0,1);
+  cov[2] = vVnew(1,1);
+  cov[3] = vVnew(0,2);
+  cov[4] = vVnew(1,2);
+  cov[5] = vVnew(2,2);
+  
+  // store data in the vertex object
+  AliESDVertex *outVtx = new AliESDVertex(position,cov,chi2,nUsedTrks);
+  outVtx->SetTitle(inVtx->GetTitle());
+  Double_t tp[3];
+  inVtx->GetTruePos(tp);
+  outVtx->SetTruePos(tp);
+  UShort_t *inindices = inVtx->GetIndices();
+  UShort_t *outindices = new UShort_t[outVtx->GetNContributors()];
+  Int_t j=0;
+  Bool_t copyindex;
+  for(Int_t k=0; k<inVtx->GetNIndices(); k++) {
+    copyindex=kTRUE;
+    for(Int_t l=0; l<ntrks; l++) {
+      trksTree->GetEvent(l);
+      if(inindices[k]==track->GetID()) copyindex=kFALSE;
+    }
+    if(copyindex) {
+      outindices[j] = inindices[k]; j++;
+    }
+  }
+  outVtx->SetIndices(outVtx->GetNContributors(),outindices);
+  delete [] outindices;
+
+  if(fDebug) {
+    printf("Vertex before removing tracks:\n");
+    inVtx->PrintStatus();
+    inVtx->PrintIndices();
+    printf("Vertex after removing tracks:\n");
+    outVtx->PrintStatus();
+    outVtx->PrintIndices();
+  }
+
+  return outVtx;
 }
-//----------------------------------------------------------------------------
-AliVertex* AliVertexerTracks::VertexForSelectedTracks(TObjArray *trkArray) {
+//---------------------------------------------------------------------------
+void AliVertexerTracks::SetSkipTracks(Int_t n,Int_t *skipped) 
+{
+//
+// Mark the tracks not to be used in the vertex reconstruction.
+// Tracks are identified by AliESDtrack::GetID()
+//
+  fNTrksToSkip = n;  fTrksToSkip = new Int_t[n]; 
+  for(Int_t i=0;i<n;i++) fTrksToSkip[i] = skipped[i]; 
+  return; 
+}
+//---------------------------------------------------------------------------
+void  AliVertexerTracks::SetVtxStart(AliESDVertex *vtx) 
+{ 
+//
+// Set initial vertex knowledge
+//
+  vtx->GetXYZ(fNominalPos);
+  vtx->GetCovMatrix(fNominalCov);
+  SetConstraintOn();
+  return; 
+}
+//---------------------------------------------------------------------------
+void AliVertexerTracks::StrLinVertexFinderMinDist(Int_t optUseWeights)
+{
+  // Calculate the point at minimum distance to prepared tracks 
+  
+  Double_t initPos[3];
+  initPos[2] = 0.;
+  Double_t sigma=0;
+  for(Int_t i=0;i<2;i++)initPos[i]=fNominalPos[i];
+  const Int_t knacc = (Int_t)fTrkArray.GetEntriesFast();
+  Double_t field=GetField();
+
+  AliESDtrack *track1;
+  Double_t (*vectP0)[3]=new Double_t [knacc][3];
+  Double_t (*vectP1)[3]=new Double_t [knacc][3];
+  
+  Double_t sum[3][3];
+  Double_t dsum[3]={0,0,0};
+  for(Int_t i=0;i<3;i++)
+    for(Int_t j=0;j<3;j++)sum[i][j]=0;
+  for(Int_t i=0; i<knacc; i++){
+    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],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);
+    line1->GetCd(cd);
+    Double_t p1[3]={p0[0]+cd[0],p0[1]+cd[1],p0[2]+cd[2]};
+    vectP0[i][0]=p0[0];
+    vectP0[i][1]=p0[1];
+    vectP0[i][2]=p0[2];
+    vectP1[i][0]=p1[0];
+    vectP1[i][1]=p1[1];
+    vectP1[i][2]=p1[2];
+    
+    Double_t matr[3][3];
+    Double_t dknow[3];
+    if(optUseWeights==0)GetStrLinDerivMatrix(p0,p1,matr,dknow);
+    if(optUseWeights==1){
+      Double_t sigmasq[3];
+      sigmasq[0]=track1->GetSigmaY2();
+      sigmasq[1]=track1->GetSigmaY2();
+      sigmasq[2]=track1->GetSigmaZ2();
+      GetStrLinDerivMatrix(p0,p1,sigmasq,matr,dknow);
+    }
+
+    for(Int_t iii=0;iii<3;iii++){
+      dsum[iii]+=dknow[iii]; 
+      for(Int_t lj=0;lj<3;lj++) sum[iii][lj]+=matr[iii][lj];
+    }
+    delete line1;
+  }
+  
+  Double_t vett[3][3];
+  Double_t det=GetDeterminant3X3(sum);
+  
+  if(det!=0){
+    for(Int_t zz=0;zz<3;zz++){
+      for(Int_t ww=0;ww<3;ww++){
+       for(Int_t kk=0;kk<3;kk++) vett[ww][kk]=sum[ww][kk];
+      }
+      for(Int_t kk=0;kk<3;kk++) vett[kk][zz]=dsum[kk];
+      initPos[zz]=GetDeterminant3X3(vett)/det;
+    }
+
+
+    for(Int_t i=0; i<knacc; i++){
+      Double_t p0[3]={0,0,0},p1[3]={0,0,0};
+      for(Int_t ii=0;ii<3;ii++){
+       p0[ii]=vectP0[i][ii];
+       p1[ii]=vectP1[i][ii];
+      }
+      sigma+=GetStrLinMinDist(p0,p1,initPos);
+    }
+
+    sigma=TMath::Sqrt(sigma);
+  }else{
+    Warning("StrLinVertexFinderMinDist","Finder did not succed");
+    sigma=999;
+  }
+  delete vectP0;
+  delete vectP1;
+  fVert.SetXYZ(initPos);
+  fVert.SetDispersion(sigma);
+  fVert.SetNContributors(knacc);
+}
+//---------------------------------------------------------------------------
+Bool_t AliVertexerTracks::TrackToPoint(AliESDtrack *t,
+                                      TMatrixD &ri,TMatrixD &wWi) const 
+{
+//
+// Extract from the AliESDtrack the global coordinates ri and covariance matrix
+// wWi of the space point that it represents (to be used in VertexFitter())
+//
+
+  
+  Double_t rotAngle = t->GetAlpha();
+  if(rotAngle<0.) rotAngle += 2.*TMath::Pi();
+  Double_t cosRot = TMath::Cos(rotAngle);
+  Double_t sinRot = TMath::Sin(rotAngle);
+
+  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);
+  Double_t cc[15];
+  t->GetExternalCovariance(cc);
+  uUi(0,0) = cc[0];
+  uUi(0,1) = cc[1];
+  uUi(1,0) = cc[1];
+  uUi(1,1) = cc[2];
+  if(uUi.Determinant() <= 0.) return kFALSE;
+  TMatrixD uUiInv(TMatrixD::kInverted,uUi);
+  
+  // weights matrix: wWi = qQiT * uUiInv * qQi
+  TMatrixD uUiInvQi(uUiInv,TMatrixD::kMult,qQi);
+  TMatrixD m(qQi,TMatrixD::kTransposeMult,uUiInvQi);
+  wWi = m;
+
+  return kTRUE;
+} 
+//---------------------------------------------------------------------------
+void AliVertexerTracks::TooFewTracks(const AliESD* esdEvent) 
+{
 //
-// Return vertex from array of tracks
+// When the number of tracks is < fMinTracks
 //
 
-  // get tracks and propagate them to initial vertex position
-  Int_t nTrks = trkArray->GetEntriesFast();
-  if(nTrks < fMinTracks) {
-    printf("TooFewTracks\n");
-    Double_t vtx[3]={0,0,0};
-    fVert.SetXYZ(vtx);
-    fVert.SetDispersion(999);
-    fVert.SetNContributors(-5);
-    return &fVert;
-  }
-  TTree *trkTree = new TTree("TreeT","tracks");
-  AliESDtrack *esdTrack = 0;
-  trkTree->Branch("tracks","AliESDtrack",&esdTrack);
-  for(Int_t i=0; i<nTrks; i++){
-    esdTrack = (AliESDtrack*)trkArray->At(i);
-    trkTree->Fill();
+  // deal with vertices not found
+  Double_t pos[3],err[3];
+  Int_t    ncontr=0;
+  pos[0] = fNominalPos[0];
+  err[0] = TMath::Sqrt(fNominalCov[0]);
+  pos[1] = fNominalPos[1];
+  err[1] = TMath::Sqrt(fNominalCov[2]);
+  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);
+  if(fConstraint) {
+    fCurrentVertex->SetTitle("VertexerTracksWithConstraint");
+  } else {
+    fCurrentVertex->SetTitle("VertexerTracksNoConstraint");
   }
-    
-  return VertexForSelectedTracks(trkTree);
-}
 
+  return;
+}
 //---------------------------------------------------------------------------
-void AliVertexerTracks::VertexFinder(Int_t optUseWeights) {
+void AliVertexerTracks::VertexFinder(Int_t optUseWeights) 
+{
 
   // Get estimate of vertex position in (x,y) from tracks DCA
  
@@ -159,6 +884,7 @@ 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();
 
@@ -166,17 +892,25 @@ 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];
-    AliStrLine *line1 = new AliStrLine();
-    track1->ApproximateHelixWithLine(mindist,field,line1);
+    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);
    
     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];
-      AliStrLine *line2 = new AliStrLine();
-      track2->ApproximateHelixWithLine(mindist,field,line2);
+      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)){
+      //printf("%d   %d   %f\n",i,j,distCA);
+       if(fDCAcut<=0 || (fDCAcut>0&&distCA<fDCAcut)){
        Double_t pnt1[3],pnt2[3],crosspoint[3];
 
        if(optUseWeights<=0){
@@ -190,7 +924,7 @@ void AliVertexerTracks::VertexFinder(Int_t optUseWeights) {
        if(optUseWeights>0){
          Int_t retcode = line1->CrossPoints(line2,pnt1,pnt2);
          if(retcode>=0){
-           Double_t alpha, cs, sn;
+           Double_t cs, sn;
            alpha=track1->GetAlpha();
            cs=TMath::Cos(alpha); sn=TMath::Sin(alpha);   
            Double_t sx1=sn*sn*track1->GetSigmaY2(), sy1=cs*cs*track1->GetSigmaY2();
@@ -218,6 +952,7 @@ void AliVertexerTracks::VertexFinder(Int_t optUseWeights) {
   if(ncombi>0){
     for(Int_t jj=0;jj<3;jj++){
       initPos[jj] = aver[jj]/ncombi;
+      //printf("%f\n",initPos[jj]);
       aversq[jj]/=ncombi;
       sigmasq[jj]=aversq[jj]-initPos[jj]*initPos[jj];
       sigma+=sigmasq[jj];
@@ -233,252 +968,266 @@ void AliVertexerTracks::VertexFinder(Int_t optUseWeights) {
   fVert.SetNContributors(ncombi);
 }
 //---------------------------------------------------------------------------
-void AliVertexerTracks::HelixVertexFinder() {
-
-  // Get estimate of vertex position in (x,y) from tracks DCA
-
-
+void AliVertexerTracks::VertexFitter(Bool_t useConstraint) 
+{
+//
+// The optimal estimate of the vertex position is given by a "weighted 
+// average of tracks positions"
+// Original method: V. Karimaki, CMS Note 97/0051
+//
   Double_t initPos[3];
-  initPos[2] = 0.;
-  for(Int_t i=0;i<2;i++)initPos[i]=fNominalPos[i];
-  Double_t field=GetField();
+  fVert.GetXYZ(initPos);
+  Int_t arrEntries = (Int_t)fTrkArray.GetEntries();
+  if(arrEntries==1) useConstraint=kTRUE;
+  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(useConstraint) printf(" This vertex will be used in fit: (%f+-%f,%f+-%f)\n",fNominalPos[0],TMath::Sqrt(fNominalCov[0]),fNominalPos[1],TMath::Sqrt(fNominalCov[2])); 
+  }
 
-  Int_t nacc = (Int_t)fTrkArray.GetEntriesFast();
+  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;
+  Int_t nUsedTrks;
+  Double_t chi2,chi2i,chi2b;
+  AliESDtrack *t = 0;
+  Int_t failed = 0;
 
-  Double_t aver[3]={0.,0.,0.};
-  Double_t averquad[3]={0.,0.,0.};
-  Double_t sigmaquad[3]={0.,0.,0.};
-  Double_t sigma=0;
-  Int_t ncombi = 0;
-  AliESDtrack *track1;
-  AliESDtrack *track2;
-  Double_t distCA;
-  Double_t x, par[5];
-  Double_t alpha, cs, sn;
-  Double_t crosspoint[3];
-  for(Int_t i=0; i<nacc; i++){
-    track1 = (AliESDtrack*)fTrkArray.At(i);
-    
+  // initial vertex covariance matrix
+  TMatrixD vVb(3,3);
+  vVb(0,0) = fNominalCov[0];
+  vVb(0,1) = fNominalCov[1];
+  vVb(0,2) = 0.;
+  vVb(1,0) = fNominalCov[1];
+  vVb(1,1) = fNominalCov[2];
+  vVb(1,2) = 0.;
+  vVb(2,0) = 0.;
+  vVb(2,1) = 0.;
+  vVb(2,2) = fNominalCov[5];
+  TMatrixD vVbInv(TMatrixD::kInverted,vVb);
+  TMatrixD rb(3,1);
+  rb(0,0) = fNominalPos[0];
+  rb(1,0) = fNominalPos[1];
+  rb(2,0) = fNominalPos[2];
+  TMatrixD vVbInvrb(vVbInv,TMatrixD::kMult,rb);
 
-    for(Int_t j=i+1; j<nacc; j++){
-      track2 = (AliESDtrack*)fTrkArray.At(j);
 
-      distCA=track2->PropagateToDCA(track1,field);
+  // 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;
 
-      if(fDCAcut<=0 ||(fDCAcut>0&&distCA<fDCAcut)){
-       track1->GetExternalParameters(x,par);
-       alpha=track1->GetAlpha();
-       cs=TMath::Cos(alpha); sn=TMath::Sin(alpha);
-       Double_t x1=x*cs - par[0]*sn;
-       Double_t y1=x*sn + par[0]*cs;
-       Double_t z1=par[1];
-       Double_t sx1=sn*sn*track1->GetSigmaY2(), sy1=cs*cs*track1->GetSigmaY2(); 
-       track2->GetExternalParameters(x,par);
-       alpha=track2->GetAlpha();
-       cs=TMath::Cos(alpha); sn=TMath::Sin(alpha);
-       Double_t x2=x*cs - par[0]*sn;
-       Double_t y2=x*sn + par[0]*cs;
-       Double_t z2=par[1];
-       Double_t sx2=sn*sn*track2->GetSigmaY2(), sy2=cs*cs*track2->GetSigmaY2();
-       Double_t sz1=track1->GetSigmaZ2(), sz2=track2->GetSigmaZ2();
-       Double_t wx1=sx2/(sx1+sx2), wx2=1.- wx1;
-       Double_t wy1=sy2/(sy1+sy2), wy2=1.- wy1;
-       Double_t wz1=sz2/(sz1+sz2), wz2=1.- wz1;
-       crosspoint[0]=wx1*x1 + wx2*x2; 
-       crosspoint[1]=wy1*y1 + wy2*y2; 
-       crosspoint[2]=wz1*z1 + wz2*z2;
+    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.;
+    }
 
-       ncombi++;
-       for(Int_t jj=0;jj<3;jj++)aver[jj]+=crosspoint[jj];
-       for(Int_t jj=0;jj<3;jj++)averquad[jj]+=(crosspoint[jj]*crosspoint[jj]);
+    // mean vertex constraint
+    if(useConstraint) {
+      for(i=0;i<3;i++) {
+       sumWiri(i,0) += vVbInvrb(i,0);
+       for(k=0;k<3;k++) sumWi(i,k) += vVbInv(i,k);
       }
+      // chi2
+      TMatrixD deltar = rv; deltar -= rb;
+      TMatrixD vVbInvdeltar(vVbInv,TMatrixD::kMult,deltar);
+      chi2b = deltar(0,0)*vVbInvdeltar(0,0)+
+              deltar(1,0)*vVbInvdeltar(1,0)+
+             deltar(2,0)*vVbInvdeltar(2,0);
+      chi2 += chi2b;
     }
-      
-  }
-  if(ncombi>0){
-    for(Int_t jj=0;jj<3;jj++){
-      initPos[jj] = aver[jj]/ncombi;
-      averquad[jj]/=ncombi;
-      sigmaquad[jj]=averquad[jj]-initPos[jj]*initPos[jj];
-      sigma+=sigmaquad[jj];
-    }
-    sigma=TMath::Sqrt(TMath::Abs(sigma));
-  }
-  else {
-    Warning("HelixVertexFinder","Finder did not succed");
-    sigma=999;
-  }
-  fVert.SetXYZ(initPos);
-  fVert.SetDispersion(sigma);
-  fVert.SetNContributors(ncombi);
-}
-//---------------------------------------------------------------------------
-void AliVertexerTracks::StrLinVertexFinderMinDist(Int_t optUseWeights){
 
-  // Calculate the point at minimum distance to prepared tracks 
-  
-  Double_t initPos[3];
-  initPos[2] = 0.;
-  Double_t sigma=0;
-  for(Int_t i=0;i<2;i++)initPos[i]=fNominalPos[i];
-  const Int_t knacc = (Int_t)fTrkArray.GetEntriesFast();
-  Double_t field=GetField();
 
-  AliESDtrack *track1;
-  Double_t (*vectP0)[3]=new Double_t [knacc][3];
-  Double_t (*vectP1)[3]=new Double_t [knacc][3];
-  
-  Double_t sum[3][3];
-  Double_t dsum[3]={0,0,0};
-  for(Int_t i=0;i<3;i++)
-    for(Int_t j=0;j<3;j++)sum[i][j]=0;
-  for(Int_t i=0; i<knacc; i++){
-    track1 = (AliESDtrack*)fTrkArray.At(i);
-    Double_t alpha=track1->GetAlpha();
-    Double_t mindist = TMath::Cos(alpha)*fNominalPos[0]+TMath::Sin(alpha)*fNominalPos[1];
-    AliStrLine *line1 = new AliStrLine();
-    track1->ApproximateHelixWithLine(mindist,field,line1);
+    // 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);
+      // to vtxSeed (from finder)
+      t->AliExternalTrackParam::PropagateTo(xlStart,AliTracker::GetBz());   
 
-    Double_t p0[3],cd[3];
-    line1->GetP0(p0);
-    line1->GetCd(cd);
-    Double_t p1[3]={p0[0]+cd[0],p0[1]+cd[1],p0[2]+cd[2]};
-    vectP0[i][0]=p0[0];
-    vectP0[i][1]=p0[1];
-    vectP0[i][2]=p0[2];
-    vectP1[i][0]=p1[0];
-    vectP1[i][1]=p1[1];
-    vectP1[i][2]=p1[2];
-    
-    Double_t matr[3][3];
-    Double_t dknow[3];
-    if(optUseWeights==0)GetStrLinDerivMatrix(p0,p1,matr,dknow);
-    if(optUseWeights==1){
-      Double_t sigmasq[3];
-      sigmasq[0]=track1->GetSigmaY2();
-      sigmasq[1]=track1->GetSigmaY2();
-      sigmasq[2]=track1->GetSigmaZ2();
-      GetStrLinDerivMatrix(p0,p1,sigmasq,matr,dknow);
-    }
+      // vector of track global coordinates
+      TMatrixD ri(3,1);
+      // covariance matrix of ri
+      TMatrixD wWi(3,3);
 
-    for(Int_t iii=0;iii<3;iii++){
-      dsum[iii]+=dknow[iii]; 
-      for(Int_t lj=0;lj<3;lj++) sum[iii][lj]+=matr[iii][lj];
+      // get space point from track
+      if(!TrackToPoint(t,ri,wWi)) continue;
+
+      TMatrixD wWiri(wWi,TMatrixD::kMult,ri); 
+
+      // 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;
+
+      sumWiri += wWiri;
+      sumWi   += wWi;
+
+      nUsedTrks++;
+    } // end loop on tracks
+
+    if(nUsedTrks < fMinTracks) {
+      failed=1;
+      continue;
     }
-    delete line1;
-  }
-  
-  Double_t vett[3][3];
-  Double_t det=GetDeterminant3X3(sum);
-  
-   if(det!=0){
-     for(Int_t zz=0;zz<3;zz++){
-       for(Int_t ww=0;ww<3;ww++){
-        for(Int_t kk=0;kk<3;kk++) vett[ww][kk]=sum[ww][kk];
-       }
-       for(Int_t kk=0;kk<3;kk++) vett[kk][zz]=dsum[kk];
-       initPos[zz]=GetDeterminant3X3(vett)/det;
-     }
-
-
-     for(Int_t i=0; i<knacc; i++){
-       Double_t p0[3]={0,0,0},p1[3]={0,0,0};
-       for(Int_t ii=0;ii<3;ii++){
-        p0[ii]=vectP0[i][ii];
-        p1[ii]=vectP1[i][ii];
-       }
-       sigma+=GetStrLinMinDist(p0,p1,initPos);
-     }
-
-     sigma=TMath::Sqrt(sigma);
-   }else{
-    Warning("StrLinVertexFinderMinDist","Finder did not succed");
-    sigma=999;
-  }
-  delete vectP0;
-  delete vectP1;
-  fVert.SetXYZ(initPos);
-  fVert.SetDispersion(sigma);
-  fVert.SetNContributors(knacc);
-}
-//_______________________________________________________________________
-Double_t AliVertexerTracks::GetDeterminant3X3(Double_t matr[][3]){
-  //
-  Double_t det=matr[0][0]*matr[1][1]*matr[2][2]-matr[0][0]*matr[1][2]*matr[2][1]-matr[0][1]*matr[1][0]*matr[2][2]+matr[0][1]*matr[1][2]*matr[2][0]+matr[0][2]*matr[1][0]*matr[2][1]-matr[0][2]*matr[1][1]*matr[2][0];
- return det;
-}
-//____________________________________________________________________________
-void AliVertexerTracks::GetStrLinDerivMatrix(Double_t *p0,Double_t *p1,Double_t m[][3],Double_t *d){
 
-  //
-  Double_t x12=p0[0]-p1[0];
-  Double_t y12=p0[1]-p1[1];
-  Double_t z12=p0[2]-p1[2];
-  Double_t kk=x12*x12+y12*y12+z12*z12;
-  m[0][0]=2-2/kk*x12*x12;
-  m[0][1]=-2/kk*x12*y12;
-  m[0][2]=-2/kk*x12*z12;
-  m[1][0]=-2/kk*x12*y12;
-  m[1][1]=2-2/kk*y12*y12;
-  m[1][2]=-2/kk*y12*z12;
-  m[2][0]=-2/kk*x12*z12;
-  m[2][1]=-2*y12*z12;
-  m[2][2]=2-2/kk*z12*z12;
-  d[0]=2*p0[0]-2/kk*p0[0]*x12*x12-2/kk*p0[2]*x12*z12-2/kk*p0[1]*x12*y12;
-  d[1]=2*p0[1]-2/kk*p0[1]*y12*y12-2/kk*p0[0]*x12*y12-2/kk*p0[2]*z12*y12;
-  d[2]=2*p0[2]-2/kk*p0[2]*z12*z12-2/kk*p0[0]*x12*z12-2/kk*p0[1]*z12*y12;
+    Double_t determinant = sumWi.Determinant();
+    //cerr<<" determinant: "<<determinant<<endl;
+    if(determinant < 100.)  { 
+      printf("det(V) = 0\n");       
+      failed=1;
+      continue;
+    }
 
-}
-//____________________________________________________________________________
-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];
-  Double_t z12=p1[2]-p0[2];
+    // inverted of weights matrix
+    TMatrixD invsumWi(TMatrixD::kInverted,sumWi);
+    vV = invsumWi;
+     
+    // position of primary vertex
+    rv.Mult(vV,sumWiri);
 
-  Double_t den= x12*x12*sigmasq[1]*sigmasq[2]+y12*y12*sigmasq[0]*sigmasq[2]+z12*z12*sigmasq[0]*sigmasq[1];
+  } // end loop on the 2 steps
 
-  Double_t kk= 2*(x12*x12/sigmasq[0]+y12*y12/sigmasq[1]+z12*z12/sigmasq[2]);
+  // delete t;
 
-  Double_t cc[3];
-  cc[0]=-x12/sigmasq[0];
-  cc[1]=-y12/sigmasq[1];
-  cc[2]=-z12/sigmasq[2];
+  if(failed) { 
+    if(fDebug) printf("TooFewTracks\n");
+    fCurrentVertex = new AliESDVertex(0.,0.,-1);
+    return; 
+  }
 
-  Double_t ww=(-p0[0]*x12*sigmasq[1]*sigmasq[2]-p0[1]*y12*sigmasq[0]*sigmasq[2]-p0[2]*z12*sigmasq[0]*sigmasq[1])/den;
+  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);
 
-  Double_t ss= -p0[0]*cc[0]-p0[1]*cc[1]-p0[2]*cc[2];
+  if(fDebug) {
+    printf(" VertexFitter(): finish\n");
+    printf(" rv = ( %f , %f , %f )\n\n",rv(0,0),rv(1,0),rv(2,0));
+    fCurrentVertex->PrintStatus();
+  }
 
-  Double_t aa[3];
-  aa[0]=x12*sigmasq[1]*sigmasq[2]/den;
-  aa[1]=y12*sigmasq[0]*sigmasq[2]/den;
-  aa[2]=z12*sigmasq[0]*sigmasq[1]/den;
+  return;
+}
+//----------------------------------------------------------------------------
+AliESDVertex* AliVertexerTracks::VertexForSelectedTracks(TTree *trkTree,Bool_t optUseFitter,Bool_t optPropagate) 
+{
+//
+// Return vertex from tracks in trkTree
+//
 
-  m[0][0]=aa[0]*(aa[0]*kk+2*cc[0])+2*cc[0]*aa[0]+2/sigmasq[0];
-  m[0][1]=aa[1]*(aa[0]*kk+2*cc[0])+2*cc[1]*aa[0];
-  m[0][2]=aa[2]*(aa[0]*kk+2*cc[0])+2*cc[2]*aa[0];
+  SetConstraintOff();
 
-  m[1][0]=aa[0]*(aa[1]*kk+2*cc[1])+2*cc[0]*aa[1];
-  m[1][1]=aa[1]*(aa[1]*kk+2*cc[1])+2*cc[1]*aa[1]+2/sigmasq[1];
-  m[1][2]=aa[2]*(aa[1]*kk+2*cc[1])+2*cc[2]*aa[1];
+  // get tracks and propagate them to initial vertex position
+  Int_t nTrksPrep = PrepareTracks(*trkTree,0);
+  if(nTrksPrep <  TMath::Max(2,fMinTracks) ) {
+    if(fDebug) printf("TooFewTracks\n");
+    fCurrentVertex = new AliESDVertex(0.,0.,-1);
+    return fCurrentVertex;
+  }
+  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");
 
-  m[2][0]=aa[0]*(aa[2]*kk+2*cc[2])+2*cc[0]*aa[2];
-  m[2][1]=aa[1]*(aa[2]*kk+2*cc[2])+2*cc[1]*aa[2];
-  m[2][2]=aa[2]*(aa[2]*kk+2*cc[2])+2*cc[2]*aa[2]+2/sigmasq[2];
+  // vertex fitter
+  if(optUseFitter){
+    VertexFitter(fConstraint);
+    if(fDebug) printf(" Vertex fit completed\n");
+  }else{
+    Double_t position[3]={fVert.GetXv(),fVert.GetYv(),fVert.GetZv()};
+    Double_t covmatrix[6]={0.,0.,0.,0.,0.,0.};
+    Double_t chi2=99999.;
+    Int_t    nUsedTrks=fVert.GetNContributors();
+    fCurrentVertex = new AliESDVertex(position,covmatrix,chi2,nUsedTrks);    
+  }
+  fCurrentVertex->SetDispersion(fVert.GetDispersion());
 
-  d[0]=-ww*(aa[0]*kk+2*cc[0])-2*ss*aa[0]+2*p0[0]/sigmasq[0];
-  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];
 
+  // set indices of used tracks and propagate track to found vertex
+  UShort_t *indices = 0;
+  AliESDtrack *eta = 0;
+  if(fCurrentVertex->GetNContributors()>0) {
+    indices = new UShort_t[fCurrentVertex->GetNContributors()];
+    for(Int_t jj=0;jj<(Int_t)fTrkArray.GetEntriesFast();jj++) {
+      eta = (AliESDtrack*)fTrkArray.At(jj);
+      indices[jj] = (UShort_t)eta->GetID();
+      if(optPropagate&&optUseFitter){
+       if(TMath::Sqrt(fCurrentVertex->GetXv()*fCurrentVertex->GetXv()+fCurrentVertex->GetYv()*fCurrentVertex->GetYv())<3.) {
+         eta->RelateToVertex(fCurrentVertex,GetField(),100.);
+         if(fDebug) printf("Track %d propagated to found vertex\n",jj);
+       }else{
+         AliWarning("Found vertex outside beam pipe!");
+       }
+      }
+    }
+    fCurrentVertex->SetIndices(fCurrentVertex->GetNContributors(),indices);
+  }
+  delete [] indices;
+  fTrkArray.Delete();
+  
+  return fCurrentVertex;
 }
-//_____________________________________________________________________________
-Double_t AliVertexerTracks::GetStrLinMinDist(Double_t *p0,Double_t *p1,Double_t *x0){
-  //
-  Double_t x12=p0[0]-p1[0];
-  Double_t y12=p0[1]-p1[1];
-  Double_t z12=p0[2]-p1[2];
-  Double_t x10=p0[0]-x0[0];
-  Double_t y10=p0[1]-x0[1];
-  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);
+//----------------------------------------------------------------------------
+AliESDVertex* AliVertexerTracks::VertexForSelectedTracks(TObjArray *trkArray,Bool_t optUseFitter, Bool_t optPropagate) 
+{
+//
+// Return vertex from array of tracks
+//
+
+  // get tracks and propagate them to initial vertex position
+  Int_t nTrks = trkArray->GetEntriesFast();
+  if(nTrks < TMath::Max(2,fMinTracks) ) {
+    if(fDebug) printf("TooFewTracks\n");
+    fCurrentVertex = new AliESDVertex(0.,0.,-1);
+    return fCurrentVertex;
+  }
+  TTree *trkTree = new TTree("TreeT","tracks");
+  AliESDtrack *esdTrack = 0;
+  trkTree->Branch("tracks","AliESDtrack",&esdTrack);
+  for(Int_t i=0; i<nTrks; i++){
+    esdTrack = (AliESDtrack*)trkArray->At(i);
+    trkTree->Fill();
+  }
+    
+  AliESDVertex *vtx =  VertexForSelectedTracks(trkTree,optUseFitter,optPropagate);
+  delete trkTree;
+  return vtx;
 }
+//--------------------------------------------------------------------------