]> git.uio.no Git - u/mrichter/AliRoot.git/blobdiff - ITS/AliITStrackV2.cxx
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[u/mrichter/AliRoot.git] / ITS / AliITStrackV2.cxx
index eebf9da91623bd97130eb39779c9e13aa95721d7..814a66c98851155580deb63b22492c44e6822027 100644 (file)
@@ -25,6 +25,7 @@
 #include <TMath.h>
 
 #include "AliCluster.h"
+#include "AliTPCtrack.h"
 #include "AliESDtrack.h"
 #include "AliITStrackV2.h"
 
@@ -59,12 +60,62 @@ AliITStrackV2::AliITStrackV2():AliKalmanTrack(),
   fC44(0),
   fNUsed(0),
   fNSkipped(0),
-  fReconstructed(kFALSE),                             
+  fNDeadZone(0),
+  fDeadZoneProbability(0),                            
+  fReconstructed(kFALSE),
+  fConstrain(kFALSE),
   fESDtrack(0)
-  {
-  for(Int_t i=0; i<kMaxLayer; i++) fIndex[i]=0;
-  for(Int_t i=0; i<4; i++) fdEdxSample[i]=0;
-  for(Int_t i=0; i<6; i++) {fDy[i]=0; fDz[i]=0; fSigmaY[i]=0; fSigmaZ[i]=0; fChi2MIP[i]=0;}
+{
+    for(Int_t i=0; i<kMaxLayer; i++) {fIndex[i]=0;fClIndex[i]=-1;}
+    for(Int_t i=0; i<4; i++) fdEdxSample[i]=0;
+    for(Int_t i=0; i<6; i++) { fNy[i]=0; fNz[i]=0; fNormQ[i]=0; fNormChi2[i]=1000;}
+    for(Int_t i=0; i<12; i++) {fDy[i]=0; fDz[i]=0; fSigmaY[i]=0; fSigmaZ[i]=0; fChi2MIP[i]=0;}
+    fD[0]=0; fD[1]=0;
+    fExpQ=40;
+    fdEdxMismatch=0;
+    fChi22=0;
+}
+
+//____________________________________________________________________________
+AliITStrackV2::AliITStrackV2(const AliTPCtrack& t) throw (const Char_t *) :
+AliKalmanTrack(t) {
+  //------------------------------------------------------------------
+  //Conversion TPC track -> ITS track
+  //------------------------------------------------------------------
+  SetChi2(0.);
+  SetNumberOfClusters(0);
+
+  fdEdx  = t.GetdEdx();
+  SetMass(t.GetMass());
+
+  fAlpha = t.GetAlpha();
+  if      (fAlpha < -TMath::Pi()) fAlpha += 2*TMath::Pi();
+  else if (fAlpha >= TMath::Pi()) fAlpha -= 2*TMath::Pi();
+
+  //Conversion of the track parameters
+  Double_t x,p[5]; t.GetExternalParameters(x,p);
+  fX=x;    x=GetConvConst();
+  fP0=p[0];
+  fP1=p[1];
+  fP2=p[2];
+  fP3=p[3];
+  fP4=p[4]/x;
+
+  //Conversion of the covariance matrix
+  Double_t c[15]; t.GetExternalCovariance(c);
+
+  fC00=c[0 ];
+  fC10=c[1 ];   fC11=c[2 ];
+  fC20=c[3 ];   fC21=c[4 ];   fC22=c[5 ];
+  fC30=c[6 ];   fC31=c[7 ];   fC32=c[8 ];   fC33=c[9 ];
+  fC40=c[10]/x; fC41=c[11]/x; fC42=c[12]/x; fC43=c[13]/x; fC44=c[14]/x/x;
+
+  for(Int_t i=0; i<6; i++) { fNy[i]=0; fNz[i]=0; fNormQ[i]=0; fNormChi2[i]=1000;}
+  for(Int_t i=0; i<12; i++) {fDy[i]=0; fDz[i]=0; fSigmaY[i]=0; fSigmaZ[i]=0; }
+  fConstrain=kFALSE;
+  //
+  if (!Invariant()) throw "AliITStrackV2: conversion failed !\n";
+
 }
 
 //____________________________________________________________________________
@@ -77,6 +128,8 @@ AliKalmanTrack() {
   SetNumberOfClusters(t.GetITSclusters(fIndex));
   SetLabel(t.GetLabel());
   SetMass(t.GetMass());
+  //
+  //
 
   fdEdx=t.GetITSsignal();
   fAlpha = t.GetAlpha();
@@ -112,10 +165,19 @@ AliKalmanTrack() {
   fESDtrack=&t;
   fNUsed = 0;
   fReconstructed = kFALSE;
-  fNSkipped =0;
-  for(Int_t i=0; i<6; i++) {fDy[i]=0; fDz[i]=0; fSigmaY[i]=0; fSigmaZ[i]=0;; fChi2MIP[i]=0;}
+  fNSkipped =0; 
+  fNDeadZone = 0;
+  fDeadZoneProbability = 0;
+  for(Int_t i=0; i<6; i++) {fClIndex[i]=-1; fNy[i]=0; fNz[i]=0; fNormQ[i]=0; fNormChi2[i]=1000;}
+  for(Int_t i=0; i<12; i++) {fDy[i]=0; fDz[i]=0; fSigmaY[i]=0; fSigmaZ[i]=0;fChi2MIP[i]=0;}
+  fD[0]=0; fD[1]=0;
+  fExpQ=40;
+  fConstrain = kFALSE;
+  fdEdxMismatch=0;
+  fChi22 =0;
+
   //if (!Invariant()) throw "AliITStrackV2: conversion failed !\n";
-  SetFakeRatio(t.GetITSFakeRatio());
+
 }
 
 void AliITStrackV2::UpdateESDtrack(ULong_t flags) {
@@ -145,14 +207,34 @@ AliITStrackV2::AliITStrackV2(const AliITStrackV2& t) : AliKalmanTrack(t) {
 
   Int_t n=GetNumberOfClusters();
   for (Int_t i=0; i<n; i++) {
-      fIndex[i]=t.fIndex[i];
-      if (i<4) fdEdxSample[i]=t.fdEdxSample[i];
+    fIndex[i]=t.fIndex[i];
+    if (i<4) fdEdxSample[i]=t.fdEdxSample[i];
   }
   fESDtrack=t.fESDtrack;
   fNUsed = t.fNUsed;
   fReconstructed = t.fReconstructed;
   fNSkipped = t.fNSkipped;
-  for(Int_t i=0; i<6; i++) {fDy[i]=t.fDy[i]; fDz[i]=t.fDz[i]; fSigmaY[i]=t.fSigmaY[i]; fSigmaZ[i]=t.fSigmaZ[i];; fChi2MIP[i]=t.fChi2MIP[i];}
+  fNDeadZone = t.fNDeadZone;
+  fDeadZoneProbability = t.fDeadZoneProbability;
+  fLab = t.fLab;
+  fFakeRatio = t.fFakeRatio;
+  fdEdxMismatch = t.fdEdxMismatch;
+  fChi22 = t.fChi22;
+
+
+  fD[0]=t.fD[0]; fD[1]=t.fD[1];
+  fExpQ= t.fExpQ;
+  for(Int_t i=0; i<6; i++) {
+    fClIndex[i]= t.fClIndex[i]; fNy[i]=t.fNy[i]; fNz[i]=t.fNz[i]; fNormQ[i]=t.fNormQ[i]; fNormChi2[i] = t.fNormChi2[i];
+  }
+  for(Int_t i=0; i<12; i++) {fDy[i]=t.fDy[i]; fDz[i]=t.fDz[i]; 
+    fSigmaY[i]=t.fSigmaY[i]; fSigmaZ[i]=t.fSigmaZ[i];fChi2MIP[i]=t.fChi2MIP[i];}
+  fConstrain = t.fConstrain;
+  //memcpy(fDy,t.fDy,6*sizeof(Float_t));
+  //memcpy(fDz,t.fDz,6*sizeof(Float_t));
+  //memcpy(fSigmaY,t.fSigmaY,6*sizeof(Float_t));
+  //memcpy(fSigmaZ,t.fSigmaZ,6*sizeof(Float_t));
+  //memcpy(fChi2MIP,t.fChi2MIP,12*sizeof(Float_t));  
 }
 
 //_____________________________________________________________________________
@@ -163,8 +245,8 @@ Int_t AliITStrackV2::Compare(const TObject *o) const {
   AliITStrackV2 *t=(AliITStrackV2*)o;
   //Double_t co=TMath::Abs(t->Get1Pt());
   //Double_t c =TMath::Abs(Get1Pt());
-  Double_t co=t->GetSigmaY2()*t->GetSigmaZ2()*TMath::Sqrt(TMath::Abs(fP4));
-  Double_t c =GetSigmaY2()*GetSigmaZ2()*TMath::Sqrt(TMath::Abs(fP4));
+  Double_t co=t->GetSigmaY2()*t->GetSigmaZ2()*(0.5+TMath::Sqrt(0.5*t->fD[0]*t->fD[0]+t->fD[1]*t->fD[1]));
+  Double_t c =GetSigmaY2()*GetSigmaZ2()*(0.5+TMath::Sqrt(0.5*fD[0]*fD[0]+fD[1]*fD[1]));
   if (c>co) return 1;
   else if (c<co) return -1;
   return 0;
@@ -248,14 +330,40 @@ Double_t AliITStrackV2::GetPredictedChi2(const AliCluster *c) const
   return (dy*r00*dy + 2*r01*dy*dz + dz*r11*dz)/det;
 }
 
+Double_t AliITStrackV2::GetPredictedChi2MI(Double_t cy, Double_t cz, Double_t cerry, Double_t cerrz) const
+{
+  //-----------------------------------------------------------------
+  // This function calculates a predicted chi2 increment.
+  //-----------------------------------------------------------------
+  Double_t r00=cerry*cerry, r01=0., r11=cerrz*cerrz;
+  r00+=fC00; r01+=fC10; r11+=fC11;
+  //
+  Double_t det=r00*r11 - r01*r01;
+  if (TMath::Abs(det) < 1.e-30) {
+    Int_t n=GetNumberOfClusters();
+    if (n>kWARN) 
+      Warning("GetPredictedChi2","Singular matrix (%d) !\n",n);
+    return 1e10;
+  }
+  Double_t tmp=r00; r00=r11; r11=tmp; r01=-r01;
+
+  Double_t dy=cy - fP0, dz=cz - fP1;
+
+  return (dy*r00*dy + 2*r01*dy*dz + dz*r11*dz)/det;
+}
+
 //____________________________________________________________________________
 Int_t AliITStrackV2::CorrectForMaterial(Double_t d, Double_t x0) {
   //------------------------------------------------------------------
   //This function corrects the track parameters for crossed material
   //------------------------------------------------------------------
-  Double_t p2=(1.+ GetTgl()*GetTgl())/(Get1Pt()*Get1Pt());
-  Double_t beta2=p2/(p2 + GetMass()*GetMass());
+  //  Double_t p2=(1.+ GetTgl()*GetTgl())/(Get1Pt()*Get1Pt());
+  Double_t p2=(1.+ fP3*fP3)/(Get1Pt()*Get1Pt());
+  Double_t et   = p2 + GetMass()*GetMass();
+  Double_t beta2=p2/et;
+  et = sqrt(et);  
   d*=TMath::Sqrt((1.+ fP3*fP3)/(1.- fP2*fP2));
+  //d*=TMath::Sqrt(1.+ fP3*fP3 +fP2*fP2/(1.- fP2*fP2));
 
   //Multiple scattering******************
   if (d!=0) {
@@ -270,10 +378,22 @@ Int_t AliITStrackV2::CorrectForMaterial(Double_t d, Double_t x0) {
   //Energy losses************************
   if (x0!=0.) {
      d*=x0;
-     Double_t dE=0.153e-3/beta2*(log(5940*beta2/(1-beta2)) - beta2)*d;
-     if (beta2/(1-beta2)>3.5*3.5)
+     //     Double_t dE=0.153e-3/beta2*(log(5940*beta2/(1-beta2)) - beta2)*d;
+     //Double_t dE=0; 
+     Double_t dE = 0.265*0.153e-3*(39.2-55.6*beta2+28.7*beta2*beta2+27.41/beta2)*d;
+     /*
+     if (beta2/(1-beta2)>3.5*3.5){
        dE=0.153e-3/beta2*(log(3.5*5940)+0.5*log(beta2/(1-beta2)) - beta2)*d;
-     fP4*=(1.- sqrt(p2+GetMass()*GetMass())/p2*dE);
+     }
+     else{
+       dE=0.153e-3/beta2*(log(5940*beta2/(1-beta2)) - beta2)*d;
+       dE+=0.06e-3/(beta2*beta2)*d;
+     }
+     */
+     fP4*=(1.- et/p2*dE);
+     Double_t delta44 = (dE*fP4*et/p2);
+     delta44*=delta44;
+     fC44+= delta44/400.;
   }
 
   if (!Invariant()) return 0;
@@ -438,6 +558,84 @@ Int_t AliITStrackV2::Update(const AliCluster* c, Double_t chi2, UInt_t index) {
   return 1;
 }
 
+//____________________________________________________________________________
+Int_t AliITStrackV2::UpdateMI(Double_t cy, Double_t cz, Double_t cerry, Double_t cerrz, Double_t chi2,UInt_t index) {
+  //------------------------------------------------------------------
+  //This function updates track parameters
+  //------------------------------------------------------------------
+  Double_t p0=fP0,p1=fP1,p2=fP2,p3=fP3,p4=fP4;
+  Double_t c00=fC00;
+  Double_t c10=fC10, c11=fC11;
+  Double_t c20=fC20, c21=fC21, c22=fC22;
+  Double_t c30=fC30, c31=fC31, c32=fC32, c33=fC33;
+  Double_t c40=fC40, c41=fC41, c42=fC42, c43=fC43, c44=fC44;
+
+
+  Double_t r00=cerry*cerry, r01=0., r11=cerrz*cerrz;
+  r00+=fC00; r01+=fC10; r11+=fC11;
+  Double_t det=r00*r11 - r01*r01;
+  Double_t tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det;
+
+  Double_t k00=fC00*r00+fC10*r01, k01=fC00*r01+fC10*r11;
+  Double_t k10=fC10*r00+fC11*r01, k11=fC10*r01+fC11*r11;
+  Double_t k20=fC20*r00+fC21*r01, k21=fC20*r01+fC21*r11;
+  Double_t k30=fC30*r00+fC31*r01, k31=fC30*r01+fC31*r11;
+  Double_t k40=fC40*r00+fC41*r01, k41=fC40*r01+fC41*r11;
+
+  Double_t dy=cy - fP0, dz=cz - fP1;
+  Int_t layer = (index & 0xf0000000) >> 28;
+  fDy[layer] = dy;
+  fDz[layer] = dz;
+  fSigmaY[layer] = TMath::Sqrt(cerry*cerry+fC00);
+  fSigmaZ[layer] = TMath::Sqrt(cerrz*cerrz+fC11);
+
+  Double_t sf=fP2 + k20*dy + k21*dz;
+  
+  fP0 += k00*dy + k01*dz;
+  fP1 += k10*dy + k11*dz;
+  fP2  = sf;
+  fP3 += k30*dy + k31*dz;
+  fP4 += k40*dy + k41*dz;
+  
+  Double_t c01=fC10, c02=fC20, c03=fC30, c04=fC40;
+  Double_t c12=fC21, c13=fC31, c14=fC41;
+
+  fC00-=k00*fC00+k01*fC10; fC10-=k00*c01+k01*fC11;
+  fC20-=k00*c02+k01*c12;   fC30-=k00*c03+k01*c13;
+  fC40-=k00*c04+k01*c14; 
+
+  fC11-=k10*c01+k11*fC11;
+  fC21-=k10*c02+k11*c12;   fC31-=k10*c03+k11*c13;
+  fC41-=k10*c04+k11*c14; 
+
+  fC22-=k20*c02+k21*c12;   fC32-=k20*c03+k21*c13;
+  fC42-=k20*c04+k21*c14; 
+
+  fC33-=k30*c03+k31*c13;
+  fC43-=k30*c04+k31*c14; 
+
+  fC44-=k40*c04+k41*c14; 
+
+  if (!Invariant()) {
+     fP0=p0; fP1=p1; fP2=p2; fP3=p3; fP4=p4;
+     fC00=c00;
+     fC10=c10; fC11=c11;
+     fC20=c20; fC21=c21; fC22=c22;
+     fC30=c30; fC31=c31; fC32=c32; fC33=c33;
+     fC40=c40; fC41=c41; fC42=c42; fC43=c43; fC44=c44;
+     return 0;
+  }
+
+  if (chi2<0) return 1;
+  Int_t n=GetNumberOfClusters();
+  fIndex[n]=index;
+  SetNumberOfClusters(n+1);
+  SetChi2(GetChi2()+chi2);
+
+  return 1;
+}
+
 Int_t AliITStrackV2::Invariant() const {
   //------------------------------------------------------------------
   // This function is for debugging purpose only
@@ -489,7 +687,7 @@ Int_t AliITStrackV2::Propagate(Double_t alp,Double_t xk) {
   Double_t ca=TMath::Cos(alp-fAlpha), sa=TMath::Sin(alp-fAlpha);
   Double_t sf=fP2, cf=TMath::Sqrt(1.- fP2*fP2);
 
-  TMatrixD *tT=0;
+  TMatrixD *T=0;
   // **** rotation **********************
   {
   fAlpha = alp;
@@ -497,25 +695,36 @@ Int_t AliITStrackV2::Propagate(Double_t alp,Double_t xk) {
   fP0= -x*sa + p0*ca;
   fP2=  sf*ca - cf*sa;
 
-  TMatrixD cC(5,5); 
-  cC(0,0)=c00;
-  cC(1,0)=c10; cC(1,1)=c11;
-  cC(2,0)=c20; cC(2,1)=c21; cC(2,2)=c22;
-  cC(3,0)=c30; cC(3,1)=c31; cC(3,2)=c32; cC(3,3)=c33;
-  cC(4,0)=c40; cC(4,1)=c41; cC(4,2)=c42; cC(4,3)=c43; cC(4,4)=c44;
-  cC(0,1)=cC(1,0);
-  cC(0,2)=cC(2,0); cC(1,2)=cC(2,1);
-  cC(0,3)=cC(3,0); cC(1,3)=cC(3,1); cC(2,3)=cC(3,2);
-  cC(0,4)=cC(4,0); cC(1,4)=cC(4,1); cC(2,4)=cC(4,2); cC(3,4)=cC(4,3);
-
-  TMatrixD mF(6,5);
-  mF(0,0)=sa; 
-  mF(1,0)=ca;
-  mF(2,1)=mF(4,3)=mF(5,4)=1; 
-  mF(3,2)=ca + sf/cf*sa;
-
-  TMatrixD tmp(cC,TMatrixD::kMult,TMatrixD(TMatrixD::kTransposed, mF)); 
-  tT=new TMatrixD(mF,TMatrixD::kMult,tmp);
+  static TMatrixD C(5,5); 
+  C(0,0)=c00;
+  C(1,0)=c10; C(1,1)=c11;
+  C(2,0)=c20; C(2,1)=c21; C(2,2)=c22;
+  C(3,0)=c30; C(3,1)=c31; C(3,2)=c32; C(3,3)=c33;
+  C(4,0)=c40; C(4,1)=c41; C(4,2)=c42; C(4,3)=c43; C(4,4)=c44;
+  C(0,1)=C(1,0);
+  C(0,2)=C(2,0); C(1,2)=C(2,1);
+  C(0,3)=C(3,0); C(1,3)=C(3,1); C(2,3)=C(3,2);
+  C(0,4)=C(4,0); C(1,4)=C(4,1); C(2,4)=C(4,2); C(3,4)=C(4,3);
+
+  
+  static TMatrixD F(6,5);
+  F(0,0)=sa; 
+  F(1,0)=ca;
+  F(2,1)=F(4,3)=F(5,4)=1; 
+  F(3,2)=ca + sf/cf*sa;
+
+  //TMatrixD tmp(C,TMatrixD::kMult,TMatrixD(TMatrixD::kTransposed, F)); 
+  
+  static TMatrixD Ft(5,6);
+  Ft(0,0)=sa; 
+  Ft(0,1)=ca;
+  Ft(1,2)=Ft(3,4)=Ft(4,5)=1; 
+  Ft(2,3)=ca + sf/cf*sa;
+
+  TMatrixD tmp(C,TMatrixD::kMult,Ft); 
+  T=new TMatrixD(F,TMatrixD::kMult,tmp);
+  
+  
   }
 
   // **** translation ******************
@@ -535,27 +744,27 @@ Int_t AliITStrackV2::Propagate(Double_t alp,Double_t xk) {
   fP1 += dx*(f1+f2)/(f1*r2 + f2*r1)*fP3;
   fP2 += dx*fP4;
 
-  TMatrixD mF(5,6);
-  mF(0,1)=mF(1,2)=mF(2,3)=mF(3,4)=mF(4,5)=1; 
-  mF(0,3)=dx/(r1+r2)*(2+(f1+f2)*(f2/r2+f1/r1)/(r1+r2)); 
-  mF(0,5)=dx*dx/(r1+r2)*(1+(f1+f2)*f2/(r1+r2));
-  mF(1,3)=dx*fP3/(f1*r2 + f2*r1)*(2-(f1+f2)*(r2-f1*f2/r2+r1-f2*f1/r1)/(f1*r2 + f2*r1));
-  mF(1,4)=dx*(f1+f2)/(f1*r2 + f2*r1);
-  mF(1,5)=dx*dx*fP3/(f1*r2 + f2*r1)*(1-(f1+f2)*(-f1*f2/r2+r1)/(f1*r2 + f2*r1));
-  mF(2,5)=dx;
-  mF(0,0)=-1/(r1+r2)*((f1+f2)+dx*fP4*(1+(f1+f2)/(r1+r2)*f2/r2));
-  mF(1,0)=-fP3/(f1*r2 + f2*r1)*((f1+f2)+dx*fP4*(1+(f1+f2)/(f1*r2 + f2*r1)*(f1*f2/r2-r1)));
-  mF(2,0)=-fP4;
-
-  TMatrixD tmp(*tT,TMatrixD::kMult,TMatrixD(TMatrixD::kTransposed, mF)); 
-  delete tT;
-  TMatrixD cC(mF,TMatrixD::kMult,tmp);
-
-  fC00=cC(0,0); 
-  fC10=cC(1,0); fC11=cC(1,1); 
-  fC20=cC(2,0); fC21=cC(2,1); fC22=cC(2,2);
-  fC30=cC(3,0); fC31=cC(3,1); fC32=cC(3,2); fC33=cC(3,3);
-  fC40=cC(4,0); fC41=cC(4,1); fC42=cC(4,2); fC43=cC(4,3); fC44=cC(4,4);
+  static TMatrixD F(5,6);
+  F(0,1)=F(1,2)=F(2,3)=F(3,4)=F(4,5)=1; 
+  F(0,3)=dx/(r1+r2)*(2+(f1+f2)*(f2/r2+f1/r1)/(r1+r2)); 
+  F(0,5)=dx*dx/(r1+r2)*(1+(f1+f2)*f2/(r1+r2));
+  F(1,3)=dx*fP3/(f1*r2 + f2*r1)*(2-(f1+f2)*(r2-f1*f2/r2+r1-f2*f1/r1)/(f1*r2 + f2*r1));
+  F(1,4)=dx*(f1+f2)/(f1*r2 + f2*r1);
+  F(1,5)=dx*dx*fP3/(f1*r2 + f2*r1)*(1-(f1+f2)*(-f1*f2/r2+r1)/(f1*r2 + f2*r1));
+  F(2,5)=dx;
+  F(0,0)=-1/(r1+r2)*((f1+f2)+dx*fP4*(1+(f1+f2)/(r1+r2)*f2/r2));
+  F(1,0)=-fP3/(f1*r2 + f2*r1)*((f1+f2)+dx*fP4*(1+(f1+f2)/(f1*r2 + f2*r1)*(f1*f2/r2-r1)));
+  F(2,0)=-fP4;
+
+  TMatrixD tmp(*T,TMatrixD::kMult,TMatrixD(TMatrixD::kTransposed, F)); 
+  delete T;
+  TMatrixD C(F,TMatrixD::kMult,tmp);
+
+  fC00=C(0,0); 
+  fC10=C(1,0); fC11=C(1,1); 
+  fC20=C(2,0); fC21=C(2,1); fC22=C(2,2);
+  fC30=C(3,0); fC31=C(3,1); fC32=C(3,2); fC33=C(3,3);
+  fC40=C(4,0); fC41=C(4,1); fC42=C(4,2); fC43=C(4,3); fC44=C(4,4);
 
   if (!Invariant()) {
      fAlpha=alpha; 
@@ -573,6 +782,30 @@ Int_t AliITStrackV2::Propagate(Double_t alp,Double_t xk) {
   return 1;
 }
 
+
+
+Int_t AliITStrackV2::GetProlongationFast(Double_t alp, Double_t xk,Double_t &y, Double_t &z)
+{
+  //-----------------------------------------------------------------------------
+  //get fast prolongation 
+  //-----------------------------------------------------------------------------
+  Double_t ca=TMath::Cos(alp-fAlpha), sa=TMath::Sin(alp-fAlpha);
+  Double_t cf=TMath::Sqrt(1.- fP2*fP2);  
+  // **** rotation **********************  
+  y= -fX*sa + fP0*ca;
+  // **** translation ******************  
+  Double_t dx = xk- fX*ca - fP0*sa;
+  Double_t f1=fP2*ca - cf*sa, f2=f1 + fP4*dx;
+  if (TMath::Abs(f2) >= 0.9999) {
+    return 0;
+  }
+  Double_t r1=TMath::Sqrt(1.- f1*f1), r2=TMath::Sqrt(1.- f2*f2);  
+  y += dx*(f1+f2)/(r1+r2);
+  z  = fP1+dx*(f1+f2)/(f1*r2 + f2*r1)*fP3;  
+  return 1;
+}
+
+
 Double_t AliITStrackV2::GetD(Double_t x, Double_t y) const {
   //------------------------------------------------------------------
   // This function calculates the transverse impact parameter
@@ -601,7 +834,6 @@ Double_t AliITStrackV2::GetZat(Double_t x) const {
   if (TMath::Abs(f2) >= 0.9999) {
     return 10000000;
   }
-
   Double_t r1=sqrt(1.- f1*f1), r2=sqrt(1.- f2*f2);
   Double_t z =  fP1 + dx*(f1+f2)/(f1*r2 + f2*r1)*fP3;
   return z;