* provided "as is" without express or implied warranty. *
**************************************************************************/
-//-------------------------------------------------------------------------
+/* $Id$ */
+
+///////////////////////////////////////////////////////////////////////////
// Implementation of the ITS track class
//
// Origin: Iouri Belikov, CERN, Jouri.Belikov@cern.ch
-//-------------------------------------------------------------------------
-
-#include <TMatrixD.h>
-
+// dEdx analysis by: Boris Batyunya, JINR, Boris.Batiounia@cern.ch
+///////////////////////////////////////////////////////////////////////////
#include <TMath.h>
-#include <iostream.h>
#include "AliCluster.h"
-#include "../TPC/AliTPCtrack.h"
+#include "AliESDVertex.h"
+#include "AliITSReconstructor.h"
#include "AliITStrackV2.h"
+#include "AliTracker.h"
+#include "AliLog.h"
+
+const Int_t AliITStrackV2::fgkWARN = 5;
ClassImp(AliITStrackV2)
-const Int_t kWARN=1;
//____________________________________________________________________________
-AliITStrackV2::AliITStrackV2(const AliTPCtrack& t) throw (const Char_t *) {
+AliITStrackV2::AliITStrackV2() : AliKalmanTrack(),
+ fCheckInvariant(kTRUE),
+ fdEdx(0),
+ fESDtrack(0)
+{
+ for(Int_t i=0; i<2*AliITSgeomTGeo::kNLayers; i++) {fIndex[i]=-1; fModule[i]=-1;}
+ for(Int_t i=0; i<AliITSgeomTGeo::kNLayers; i++) {fSharedWeight[i]=0;}
+ for(Int_t i=0; i<4; i++) fdEdxSample[i]=0;
+}
+
+
+//____________________________________________________________________________
+AliITStrackV2::AliITStrackV2(AliESDtrack& t,Bool_t c):
+ AliKalmanTrack(),
+ fCheckInvariant(kTRUE),
+ fdEdx(t.GetITSsignal()),
+ fESDtrack(&t)
+{
//------------------------------------------------------------------
- //Conversion TPC track -> ITS track
+ // Conversion ESD track -> ITS track.
+ // If c==kTRUE, create the ITS track out of the constrained params.
//------------------------------------------------------------------
+ const AliExternalTrackParam *par=&t;
+ if (c) {
+ par=t.GetConstrainedParam();
+ if (!par) AliError("AliITStrackV2: conversion failed !\n");
+ }
+ Set(par->GetX(),par->GetAlpha(),par->GetParameter(),par->GetCovariance());
+
SetLabel(t.GetLabel());
- SetChi2(0.);
- SetNumberOfClusters(0);
- fdEdx = 0.;
- 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;
-
- if (!Invariant()) throw "AliITStrackV2: conversion failed !\n";
+ SetMass(t.GetMass());
+ SetNumberOfClusters(t.GetITSclusters(fIndex));
+
+ if (t.GetStatus()&AliESDtrack::kTIME) {
+ StartTimeIntegral();
+ Double_t times[10]; t.GetIntegratedTimes(times); SetIntegratedTimes(times);
+ SetIntegratedLength(t.GetIntegratedLength());
+ }
+
+ for(Int_t i=0; i<AliITSgeomTGeo::kNLayers; i++) {fSharedWeight[i]=0;}
+ for(Int_t i=0; i<4; i++) fdEdxSample[i]=0;
}
//____________________________________________________________________________
-AliITStrackV2::AliITStrackV2(const AliITStrackV2& t) : AliKalmanTrack(t) {
+void AliITStrackV2::ResetClusters() {
//------------------------------------------------------------------
- //Copy constructor
+ // Reset the array of attached clusters.
//------------------------------------------------------------------
- fX=t.fX;
- fAlpha=t.fAlpha;
- fdEdx=t.fdEdx;
+ for (Int_t i=0; i<2*AliITSgeomTGeo::kNLayers; i++) fIndex[i]=-1;
+ for (Int_t i=0; i<AliITSgeomTGeo::kNLayers; i++) {fSharedWeight[i]=0;}
+ SetChi2(0.);
+ SetNumberOfClusters(0);
+}
- fP0=t.fP0; fP1=t.fP1; fP2=t.fP2; fP3=t.fP3; fP4=t.fP4;
+//____________________________________________________________________________
+void AliITStrackV2::UpdateESDtrack(ULong_t flags) const {
+ // Update track params
+ fESDtrack->UpdateTrackParams(this,flags);
+ // copy the module indices
+ Int_t i;
+ for(i=0;i<2*AliITSgeomTGeo::kNLayers;i++) {
+ // printf(" %d\n",GetModuleIndex(i));
+ fESDtrack->SetITSModuleIndex(i,GetModuleIndex(i));
+ }
+ // copy the map of shared clusters
+ if(flags==AliESDtrack::kITSin) {
+ UChar_t itsSharedMap=0;
+ for(i=0;i<AliITSgeomTGeo::kNLayers;i++) {
+ if(fSharedWeight[i]>0) SETBIT(itsSharedMap,i);
+
+ }
+ fESDtrack->SetITSSharedMap(itsSharedMap);
+ }
- fC00=t.fC00;
- fC10=t.fC10; fC11=t.fC11;
- fC20=t.fC20; fC21=t.fC21; fC22=t.fC22;
- fC30=t.fC30; fC31=t.fC31; fC32=t.fC32; fC33=t.fC33;
- fC40=t.fC40; fC41=t.fC41; fC42=t.fC42; fC43=t.fC43; fC44=t.fC44;
+ // copy the 4 dedx samples
+ Double_t sdedx[4]={0.,0.,0.,0.};
+ for(i=0; i<4; i++) sdedx[i]=fdEdxSample[i];
+ fESDtrack->SetITSdEdxSamples(sdedx);
+}
- Int_t n=GetNumberOfClusters();
- for (Int_t i=0; i<n; i++) fIndex[i]=t.fIndex[i];
+//____________________________________________________________________________
+AliITStrackV2::AliITStrackV2(const AliITStrackV2& t) :
+ AliKalmanTrack(t),
+ fCheckInvariant(t.fCheckInvariant),
+ fdEdx(t.fdEdx),
+ fESDtrack(t.fESDtrack)
+{
+ //------------------------------------------------------------------
+ //Copy constructor
+ //------------------------------------------------------------------
+ Int_t i;
+ for (i=0; i<4; i++) fdEdxSample[i]=t.fdEdxSample[i];
+ for (i=0; i<2*AliITSgeomTGeo::GetNLayers(); i++) {
+ fIndex[i]=t.fIndex[i];
+ fModule[i]=t.fModule[i];
+ }
+ for (i=0; i<AliITSgeomTGeo::kNLayers; i++) {fSharedWeight[i]=t.fSharedWeight[i];}
}
//_____________________________________________________________________________
//-----------------------------------------------------------------
// This function compares tracks according to the their curvature
//-----------------------------------------------------------------
- AliTPCtrack *t=(AliTPCtrack*)o;
- Double_t co=TMath::Abs(t->Get1Pt());
- Double_t c =TMath::Abs(Get1Pt());
+ AliITStrackV2 *t=(AliITStrackV2*)o;
+ //Double_t co=OneOverPt();
+ //Double_t c =OneOverPt();
+ Double_t co=t->GetSigmaY2()*t->GetSigmaZ2();
+ Double_t c =GetSigmaY2()*GetSigmaZ2();
if (c>co) return 1;
else if (c<co) return -1;
return 0;
}
-//_____________________________________________________________________________
-void AliITStrackV2::GetExternalCovariance(Double_t cc[15]) const {
- //-------------------------------------------------------------------------
- // This function returns an external representation of the covriance matrix.
- // (See comments in AliTPCtrack.h about external track representation)
- //-------------------------------------------------------------------------
- Double_t a=GetConvConst();
-
- cc[0 ]=fC00;
- cc[1 ]=fC10; cc[2 ]=fC11;
- cc[3 ]=fC20; cc[4 ]=fC21; cc[5 ]=fC22;
- cc[6 ]=fC30; cc[7 ]=fC31; cc[8 ]=fC32; cc[9 ]=fC33;
- cc[10]=fC40*a; cc[11]=fC41*a; cc[12]=fC42*a; cc[13]=fC43*a; cc[14]=fC44*a*a;
-}
-
//____________________________________________________________________________
-Int_t AliITStrackV2::PropagateToVertex(Double_t x0,Double_t rho,Double_t pm) {
+Bool_t
+AliITStrackV2::PropagateToVertex(const AliESDVertex *v,Double_t d,Double_t x0)
+{
//------------------------------------------------------------------
//This function propagates a track to the minimal distance from the origin
- //------------------------------------------------------------------
- Double_t xv=fP2*(fX*fP2 - fP0*TMath::Sqrt(1.- fP2*fP2)); //linear approxim.
- Propagate(fAlpha,xv,0.,0.,pm);
- return 0;
+ //------------------------------------------------------------------
+ Double_t bz=GetBz();
+ if (PropagateToDCA(v,bz,kVeryBig)) {
+ Double_t xOverX0,xTimesRho;
+ xOverX0 = d; xTimesRho = d*x0;
+ if (CorrectForMeanMaterial(xOverX0,xTimesRho,kTRUE)) return kTRUE;
+ }
+ return kFALSE;
}
//____________________________________________________________________________
-Int_t AliITStrackV2::
-GetGlobalXYZat(Double_t xk, Double_t &x, Double_t &y, Double_t &z) const {
+Bool_t AliITStrackV2::
+GetGlobalXYZat(Double_t xloc, Double_t &x, Double_t &y, Double_t &z) const {
//------------------------------------------------------------------
//This function returns a track position in the global system
//------------------------------------------------------------------
- Double_t dx=xk-fX;
- Double_t f1=fP2, f2=f1 + fP4*dx;
- if (TMath::Abs(f2) >= 0.99999) {
- Int_t n=GetNumberOfClusters();
- if (n>kWARN) cerr<<n<<" AliITStrackV2 warning: Propagation failed !\n";
- return 0;
- }
-
- Double_t r1=sqrt(1.- f1*f1), r2=sqrt(1.- f2*f2);
-
- Double_t yk = fP0 + dx*(f1+f2)/(r1+r2);
- Double_t zk = fP1 + dx*(f1+f2)/(f1*r2 + f2*r1)*fP3;
-
- Double_t cs=TMath::Cos(fAlpha), sn=TMath::Sin(fAlpha);
- x = xk*cs - yk*sn;
- y = xk*sn + yk*cs;
- z = zk;
-
- return 1;
+ Double_t r[3];
+ Bool_t rc=GetXYZAt(xloc, GetBz(), r);
+ x=r[0]; y=r[1]; z=r[2];
+ return rc;
}
//_____________________________________________________________________________
-Double_t AliITStrackV2::GetPredictedChi2(const AliCluster *c) const
-{
+Double_t AliITStrackV2::GetPredictedChi2(const AliCluster *c) const {
//-----------------------------------------------------------------
// This function calculates a predicted chi2 increment.
//-----------------------------------------------------------------
- Double_t r00=c->GetSigmaY2(), r01=0., r11=c->GetSigmaZ2();
- r00+=fC00; r01+=fC10; r11+=fC11;
-
- Double_t det=r00*r11 - r01*r01;
- if (TMath::Abs(det) < 1.e-10) {
- Int_t n=GetNumberOfClusters();
- if (n>4) cerr<<n<<" AliKalmanTrack warning: Singular matrix !\n";
- return 1e10;
- }
- Double_t tmp=r00; r00=r11; r11=tmp; r01=-r01;
-
- Double_t dy=c->GetY() - fP0, dz=c->GetZ() - fP1;
-
- return (dy*r00*dy + 2*r01*dy*dz + dz*r11*dz)/det;
-}
-
-//_____________________________________________________________________________
-Double_t AliITStrackV2::GetPredictedChi2(const AliCluster *c,Double_t *m,
-Double_t x0, Double_t pm) const {
- //-----------------------------------------------------------------
- // This function calculates a chi2 increment with a vertex contraint
- //-----------------------------------------------------------------
- TVectorD x(5); x(0)=fP0; x(1)=fP1; x(2)=fP2; x(3)=fP3; x(4)=fP4;
- TMatrixD C(5,5);
- C(0,0)=fC00;
- C(1,0)=fC10; C(1,1)=fC11;
- C(2,0)=fC20; C(2,1)=fC21; C(2,2)=fC22;
- C(3,0)=fC30; C(3,1)=fC31; C(3,2)=fC32; C(3,3)=fC33;
- C(4,0)=fC40; C(4,1)=fC41; C(4,2)=fC42; C(4,3)=fC43; C(4,4)=fC44;
-
- 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);
-
- TMatrixD H(4,5); H.UnitMatrix();
- Double_t dy=(c->GetY() - m[0]), dz=(c->GetZ() - m[1]);
-
- Double_t dr=TMath::Sqrt(fX*fX + dy*dy);
- Double_t r =TMath::Sqrt(4/dr/dr - fP4*fP4);
- Double_t sn=0.5*(fP4*fX + dy*r);
- Double_t tg=0.5*fP4*dz/TMath::ASin(0.5*fP4*dr);
- TVectorD mm(4);
- mm(0)=m[0]=c->GetY(); mm(1)=m[1]=c->GetZ(); mm(2)=m[2]=sn; mm(3)=m[3]=tg;
-
- Double_t v22=0.,v33=0.;
- //x0=0.;
- if (x0!=0.) {
- Double_t pp2=(1.+ GetTgl()*GetTgl())/(Get1Pt()*Get1Pt());
- Double_t beta2=pp2/(pp2 + pm*pm);
- x0*=TMath::Sqrt((1.+ GetTgl()*GetTgl())/(1.- GetSnp()*GetSnp()));
- Double_t theta2=14.1*14.1/(beta2*pp2*1e6)*x0;
- v22 = theta2*(1.- GetSnp()*GetSnp())*(1. + GetTgl()*GetTgl());
- v33 = theta2*(1.+ GetTgl()*GetTgl())*(1. + GetTgl()*GetTgl());
- }
- Double_t sy2=c->GetSigmaY2(), sz2=c->GetSigmaZ2();
- v22+=kSigmaYV*kSigmaYV/dr/dr;
- v22+=sy2/dr/dr;
- Double_t v20=sy2/dr;
-
- v33+=kSigmaZV*kSigmaZV/dr/dr;
- v33+=sz2/dr/dr;
- Double_t v31=sz2/dr;
-
- TMatrixD V(4,4);
- V(0,0)=m[4 ]=sy2; V(0,1)=m[5 ]=0.; V(0,2)=m[6 ]=v20; V(0,3)=m[7 ]=0.;
- V(1,0)=m[8 ]=0.; V(1,1)=m[9 ]=sz2; V(1,2)=m[10]=0.; V(1,3)=m[11]=v31;
- V(2,0)=m[12]=v20; V(2,1)=m[13]=0.; V(2,2)=m[14]=v22; V(2,3)=m[15]=0.;
- V(3,0)=m[16]=0.; V(3,1)=m[17]=v31; V(3,2)=m[18]=0.; V(3,3)=m[19]=v33;
-
- TVectorD res=x; res*=H; res-=mm; //res*=-1;
- TMatrixD tmp(H,TMatrixD::kMult,C);
- TMatrixD R(tmp,TMatrixD::kMult,TMatrixD(TMatrixD::kTransposed,H)); R+=V;
-
- Double_t det=R.Determinant();
- if (TMath::Abs(det) < 1.e-25) {
- Int_t n=GetNumberOfClusters();
- if (n>kWARN) cerr<<n<<" AliITStrackV2 warning: Singular matrix !\n";
- return 1e10;
- }
-
- R.Invert();
-
- TVectorD rs=res;
- res*=R;
- return rs*res;
+ Double_t p[2]={c->GetY(), c->GetZ()};
+ Double_t cov[3]={c->GetSigmaY2(), 0., c->GetSigmaZ2()};
+ return AliExternalTrackParam::GetPredictedChi2(p,cov);
}
//____________________________________________________________________________
-Int_t
-AliITStrackV2::PropagateTo(Double_t xk,Double_t x0,Double_t rho,Double_t pm) {
+Bool_t AliITStrackV2::PropagateTo(Double_t xk, Double_t d, Double_t x0) {
//------------------------------------------------------------------
//This function propagates a track
//------------------------------------------------------------------
- Double_t x1=fX, x2=xk, dx=x2-x1;
- Double_t f1=fP2, f2=f1 + fP4*dx;
- if (TMath::Abs(f2) >= 0.99999) {
- Int_t n=GetNumberOfClusters();
- if (n>kWARN) cerr<<n<<" AliITStrackV2 warning: Propagation failed !\n";
- return 0;
- }
- Double_t r1=sqrt(1.- f1*f1), r2=sqrt(1.- f2*f2);
+ Double_t oldX=GetX(), oldY=GetY(), oldZ=GetZ();
- fP0 += dx*(f1+f2)/(r1+r2);
- fP1 += dx*(f1+f2)/(f1*r2 + f2*r1)*fP3;
- fP2 += dx*fP4;
+ //Double_t bz=GetBz();
+ //if (!AliExternalTrackParam::PropagateTo(xk,bz)) return kFALSE;
+ Double_t b[3]; GetBxByBz(b);
+ if (!AliExternalTrackParam::PropagateToBxByBz(xk,b)) return kFALSE;
+ Double_t xOverX0,xTimesRho;
+ xOverX0 = d; xTimesRho = d*x0;
+ if (!CorrectForMeanMaterial(xOverX0,xTimesRho,kTRUE)) return kFALSE;
+
+ Double_t x=GetX(), y=GetY(), z=GetZ();
+ if (IsStartedTimeIntegral() && x>oldX) {
+ Double_t l2 = (x-oldX)*(x-oldX) + (y-oldY)*(y-oldY) + (z-oldZ)*(z-oldZ);
+ AddTimeStep(TMath::Sqrt(l2));
+ }
- //f = F - 1
-
- Double_t f02= dx/(r1*r1*r1);
- Double_t f04=0.5*dx*dx/(r1*r1*r1);
- Double_t f12= dx*fP3*f1/(r1*r1*r1);
- Double_t f14=0.5*dx*dx*fP3*f1/(r1*r1*r1);
- Double_t f13= dx/r1;
- Double_t f24= dx;
-
- //b = C*ft
- Double_t b00=f02*fC20 + f04*fC40, b01=f12*fC20 + f14*fC40 + f13*fC30;
- Double_t b02=f24*fC40;
- Double_t b10=f02*fC21 + f04*fC41, b11=f12*fC21 + f14*fC41 + f13*fC31;
- Double_t b12=f24*fC41;
- Double_t b20=f02*fC22 + f04*fC42, b21=f12*fC22 + f14*fC42 + f13*fC32;
- Double_t b22=f24*fC42;
- Double_t b40=f02*fC42 + f04*fC44, b41=f12*fC42 + f14*fC44 + f13*fC43;
- Double_t b42=f24*fC44;
- Double_t b30=f02*fC32 + f04*fC43, b31=f12*fC32 + f14*fC43 + f13*fC33;
- Double_t b32=f24*fC43;
-
- //a = f*b = f*C*ft
- Double_t a00=f02*b20+f04*b40,a01=f02*b21+f04*b41,a02=f02*b22+f04*b42;
- Double_t a11=f12*b21+f14*b41+f13*b31,a12=f12*b22+f14*b42+f13*b32;
- Double_t a22=f24*b42;
-
- //F*C*Ft = C + (b + bt + a)
- fC00 += b00 + b00 + a00;
- fC10 += b10 + b01 + a01;
- fC20 += b20 + b02 + a02;
- fC30 += b30;
- fC40 += b40;
- fC11 += b11 + b11 + a11;
- fC21 += b21 + b12 + a12;
- fC31 += b31;
- fC41 += b41;
- fC22 += b22 + b22 + a22;
- fC32 += b32;
- fC42 += b42;
-
- fX=x2;
-
- Double_t p2=(1.+ GetTgl()*GetTgl())/(Get1Pt()*Get1Pt());
- Double_t beta2=p2/(p2 + pm*pm);
-
- //Multiple scattering******************
- //x0=0.;
- if (x0!=0) {
- x0*=TMath::Sqrt((1.+ fP3*fP3)/(1.- fP2*fP2));
- Double_t theta2=14.1*14.1/(beta2*p2*1e6)*x0;
- fC22 += theta2*(1.- fP2*fP2)*(1. + fP3*fP3);
- fC33 += theta2*(1. + fP3*fP3)*(1. + fP3*fP3);
- fC43 += theta2*fP3*fP4*(1. + fP3*fP3);
- fC44 += theta2*fP3*fP4*fP3*fP4;
- }
-
- //Energy losses************************
- if (rho!=0.) {
- rho*=TMath::Sqrt((1.+ fP3*fP3)/(1.- fP2*fP2));
- Double_t dE=0.153e-3/beta2*(log(5940*beta2/(1-beta2)) - beta2)*rho;
- if (x1 < x2) dE=-dE;
- fP4*=(1.- sqrt(p2+pm*pm)/p2*dE);
- }
-
- if (!Invariant()) {cout<<"Propagate !\n"; return 0;}
-
- return 1;
+ return kTRUE;
}
//____________________________________________________________________________
-Int_t AliITStrackV2::Update(const AliCluster* c, 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=c->GetSigmaY2(), r01=0., r11=c->GetSigmaZ2();
- 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=c->GetY() - fP0, dz=c->GetZ() - fP1;
- Double_t sf=fP2 + k20*dy + k21*dz;
- /*
- if (TMath::Abs(sf) >= 0.99999) {
- Int_t n=GetNumberOfClusters();
- if (n>kWARN) cerr<<n<<" AliITStrackV2 warning: Filtering failed !\n";
- return 0;
- }
- */
- fP0 += k00*dy + k01*dz;
- fP1 += k10*dy + k11*dz;
- fP2 = sf;
- fP3 += k30*dy + k31*dz;
- fP4 += k40*dy + k41*dz;
+Bool_t AliITStrackV2::PropagateToTGeo(Double_t xToGo, Int_t nstep, Double_t &xOverX0, Double_t &xTimesRho, Bool_t addTime) {
+ //-------------------------------------------------------------------
+ // Propagates the track to a reference plane x=xToGo in n steps.
+ // These n steps are only used to take into account the curvature.
+ // The material is calculated with TGeo. (L.Gaudichet)
+ //-------------------------------------------------------------------
- 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;
+ Double_t startx = GetX(), starty = GetY(), startz = GetZ();
+ Double_t sign = (startx<xToGo) ? -1.:1.;
+ Double_t step = (xToGo-startx)/TMath::Abs(nstep);
- fC33-=k30*c03+k31*c13;
- fC43-=k30*c04+k31*c14;
+ Double_t start[3], end[3], mparam[7];
+ //Double_t bz = GetBz();
+ Double_t b[3]; GetBxByBz(b);
+ Double_t bz = b[2];
- 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;
+ Double_t x = startx;
+
+ for (Int_t i=0; i<nstep; i++) {
+
+ GetXYZ(start); //starting global position
+ x += step;
+ if (!GetXYZAt(x, bz, end)) return kFALSE;
+ //if (!AliExternalTrackParam::PropagateTo(x, bz)) return kFALSE;
+ if (!AliExternalTrackParam::PropagateToBxByBz(x, b)) return kFALSE;
+ AliTracker::MeanMaterialBudget(start, end, mparam);
+ xTimesRho = sign*mparam[4]*mparam[0];
+ xOverX0 = mparam[1];
+ if (mparam[1]<900000) {
+ if (!AliExternalTrackParam::CorrectForMeanMaterial(xOverX0,
+ xTimesRho,GetMass())) return kFALSE;
+ } else { // this happens when MeanMaterialBudget cannot cross a boundary
+ return kFALSE;
+ }
}
- Int_t n=GetNumberOfClusters();
- fIndex[n]=index;
- SetNumberOfClusters(n+1);
- SetChi2(GetChi2()+chi2);
+ if (addTime && IsStartedTimeIntegral() && GetX()>startx) {
+ Double_t l2 = ( (GetX()-startx)*(GetX()-startx) +
+ (GetY()-starty)*(GetY()-starty) +
+ (GetZ()-startz)*(GetZ()-startz) );
+ AddTimeStep(TMath::Sqrt(l2));
+ }
- return 1;
+ return kTRUE;
}
-
//____________________________________________________________________________
-Int_t AliITStrackV2::Update(const Double_t* m, Double_t chi2, UInt_t index) {
+Bool_t AliITStrackV2::Update(const AliCluster* c, Double_t chi2, Int_t index)
+{
//------------------------------------------------------------------
- //This function updates track parameters with a vertex constraint
+ //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;
-
-
- TVectorD x(5); x(0)=fP0; x(1)=fP1; x(2)=fP2; x(3)=fP3; x(4)=fP4;
- TMatrixD C(5,5);
- C(0,0)=fC00;
- C(1,0)=fC10; C(1,1)=fC11;
- C(2,0)=fC20; C(2,1)=fC21; C(2,2)=fC22;
- C(3,0)=fC30; C(3,1)=fC31; C(3,2)=fC32; C(3,3)=fC33;
- C(4,0)=fC40; C(4,1)=fC41; C(4,2)=fC42; C(4,3)=fC43; C(4,4)=fC44;
-
- 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);
-
- TMatrixD H(4,5); H.UnitMatrix();
- TMatrixD Ht(TMatrixD::kTransposed,H);
- TVectorD mm(4); mm(0)=m[0]; mm(1)=m[1]; mm(2)=m[2]; mm(3)=m[3];
- TMatrixD V(4,4);
- V(0,0)=m[4 ]; V(0,1)=m[5 ]; V(0,2)=m[6 ]; V(0,3)=m[7 ];
- V(1,0)=m[8 ]; V(1,1)=m[9 ]; V(1,2)=m[10]; V(1,3)=m[11];
- V(2,0)=m[12]; V(2,1)=m[13]; V(2,2)=m[14]; V(2,3)=m[15];
- V(3,0)=m[16]; V(3,1)=m[17]; V(3,2)=m[18]; V(3,3)=m[19];
-
- TMatrixD tmp(H,TMatrixD::kMult,C);
- TMatrixD R(tmp,TMatrixD::kMult,Ht); R+=V;
-
- R.Invert();
-
- TMatrixD K(C,TMatrixD::kMult,Ht); K*=R;
-
- TVectorD savex=x;
- x*=H; x-=mm; x*=-1; x*=K; x+=savex;
+ Double_t p[2]={c->GetY(), c->GetZ()};
+ Double_t cov[3]={c->GetSigmaY2(), c->GetSigmaYZ(), c->GetSigmaZ2()};
- TMatrixD saveC=C;
- C.Mult(K,tmp); C-=saveC; C*=-1;
+ if (!AliExternalTrackParam::Update(p,cov)) return kFALSE;
- fP0=x(0); fP1=x(1); fP2=x(2); fP3=x(3); fP4=x(4);
- 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);
+ Int_t n=GetNumberOfClusters();
+ if (!Invariant()) {
+ if (n>fgkWARN) AliDebug(1,"Wrong invariant !");
+ return kFALSE;
+ }
+ if (chi2<0) return kTRUE;
- 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;
+ // fill residuals for ITS+TPC tracks
+ if (fESDtrack) {
+ if (fESDtrack->GetStatus()&AliESDtrack::kTPCin) {
+ AliTracker::FillResiduals(this,p,cov,c->GetVolumeId());
+ }
}
- Int_t n=GetNumberOfClusters();
fIndex[n]=index;
SetNumberOfClusters(n+1);
SetChi2(GetChi2()+chi2);
- return 1;
+ return kTRUE;
}
-Int_t AliITStrackV2::Invariant() const {
+Bool_t AliITStrackV2::Invariant() const {
//------------------------------------------------------------------
// This function is for debugging purpose only
//------------------------------------------------------------------
- //if (TMath::Abs(fP1)>11.5)
- //if (fP1*fP4<0) {cout<<"fP1*fP4="<<fP1*fP4<<' '<<fP1<<endl; return 0;}
- if (TMath::Abs(fP2)>=1) {cout<<"fP2="<<fP2<<endl; return 0;}
-
- if (fC00<=0) {cout<<"fC00="<<fC00<<endl; return 0;}
- if (fC11<=0) {cout<<"fC11="<<fC11<<endl; return 0;}
- if (fC22<=0) {cout<<"fC22="<<fC22<<endl; return 0;}
- if (fC33<=0) {cout<<"fC33="<<fC33<<endl; return 0;}
- if (fC44<=0) {cout<<"fC44="<<fC44<<endl; return 0;}
-
- TMatrixD m(5,5);
- m(0,0)=fC00;
- m(1,0)=fC10; m(1,1)=fC11;
- m(2,0)=fC20; m(2,1)=fC21; m(2,2)=fC22;
- m(3,0)=fC30; m(3,1)=fC31; m(3,2)=fC32; m(3,3)=fC33;
- m(4,0)=fC40; m(4,1)=fC41; m(4,2)=fC42; m(4,3)=fC43; m(4,4)=fC44;
-
- m(0,1)=m(1,0);
- m(0,2)=m(2,0); m(1,2)=m(2,1);
- m(0,3)=m(3,0); m(1,3)=m(3,1); m(2,3)=m(3,2);
- m(0,4)=m(4,0); m(1,4)=m(4,1); m(2,4)=m(4,2); m(3,4)=m(4,3);
- /*
- Double_t det=m.Determinant();
-
- if (det <= 0) {
- cout<<" bad determinant "<<det<<endl;
- m.Print();
- return 0;
- }
- */
- return 1;
+ if(!fCheckInvariant) return kTRUE;
+
+ Int_t n=GetNumberOfClusters();
+ static Float_t bz = GetBz();
+ // take into account the misalignment error
+ Float_t maxMisalErrY2=0,maxMisalErrZ2=0;
+ //RS
+ const AliITSRecoParam* recopar = AliITSReconstructor::GetRecoParam();
+ if (!recopar) recopar = AliITSRecoParam::GetHighFluxParam();
+
+ for (Int_t lay=0; lay<AliITSgeomTGeo::kNLayers; lay++) {
+ maxMisalErrY2 = TMath::Max(maxMisalErrY2,recopar->GetClusterMisalErrorY(lay,bz));
+ maxMisalErrZ2 = TMath::Max(maxMisalErrZ2,recopar->GetClusterMisalErrorZ(lay,bz));
+ }
+ maxMisalErrY2 *= maxMisalErrY2;
+ maxMisalErrZ2 *= maxMisalErrZ2;
+ // this is because when we reset before refitting, we multiply the
+ // matrix by 10
+ maxMisalErrY2 *= 10.;
+ maxMisalErrZ2 *= 10.;
+
+ Double_t sP2=GetParameter()[2];
+ if (TMath::Abs(sP2) >= kAlmost1){
+ if (n>fgkWARN) AliDebug(1,Form("fP2=%f\n",sP2));
+ return kFALSE;
+ }
+ Double_t sC00=GetCovariance()[0];
+ if (sC00<=0 || sC00>(9.+maxMisalErrY2)) {
+ if (n>fgkWARN) AliDebug(1,Form("fC00=%f\n",sC00));
+ return kFALSE;
+ }
+ Double_t sC11=GetCovariance()[2];
+ if (sC11<=0 || sC11>(9.+maxMisalErrZ2)) {
+ if (n>fgkWARN) AliDebug(1,Form("fC11=%f\n",sC11));
+ return kFALSE;
+ }
+ Double_t sC22=GetCovariance()[5];
+ if (sC22<=0 || sC22>1.) {
+ if (n>fgkWARN) AliDebug(1,Form("fC22=%f\n",sC22));
+ return kFALSE;
+ }
+ Double_t sC33=GetCovariance()[9];
+ if (sC33<=0 || sC33>1.) {
+ if (n>fgkWARN) AliDebug(1,Form("fC33=%f\n",sC33));
+ return kFALSE;
+ }
+ Double_t sC44=GetCovariance()[14];
+ if (sC44<=0 /*|| sC44>6e-5*/) {
+ if (n>fgkWARN) AliDebug(1,Form("fC44=%f\n",sC44));
+ return kFALSE;
+ }
+
+ return kTRUE;
}
//____________________________________________________________________________
-Int_t AliITStrackV2::Propagate(Double_t alp, Double_t xk,
-Double_t x0,Double_t rho,Double_t pm) {
+Bool_t AliITStrackV2::Propagate(Double_t alp,Double_t xk) {
//------------------------------------------------------------------
//This function propagates a track
//------------------------------------------------------------------
- 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 bz=GetBz();
+ //if (!AliExternalTrackParam::Propagate(alp,xk,bz)) return kFALSE;
+ Double_t b[3]; GetBxByBz(b);
+ if (!AliExternalTrackParam::PropagateBxByBz(alp,xk,b)) return kFALSE;
+
+ if (!Invariant()) {
+ Int_t n=GetNumberOfClusters();
+ if (n>fgkWARN) AliDebug(1,"Wrong invariant !");
+ return kFALSE;
+ }
+ return kTRUE;
+}
- Double_t dalp=alp-fAlpha;
+Bool_t AliITStrackV2::MeanBudgetToPrimVertex(Double_t xyz[3], Double_t step, Double_t &d) const {
- Double_t ca=TMath::Cos(dalp), sa=TMath::Sin(dalp);
- Double_t sf=fP2, cf=TMath::Sqrt(1.- fP2*fP2);
+ //-------------------------------------------------------------------
+ // Get the mean material budget between the actual point and the
+ // primary vertex. (L.Gaudichet)
+ //-------------------------------------------------------------------
- Double_t pp2=fP2*ca - cf*sa;
- if (TMath::Abs(pp2) >= 0.99999) {
- Int_t n=GetNumberOfClusters();
- if (n>kWARN) cerr<<n<<" AliITStrackV2 warning: Rotation failed !\n";
- return 0;
- }
+ Double_t cs=TMath::Cos(GetAlpha()), sn=TMath::Sin(GetAlpha());
+ Double_t vertexX = xyz[0]*cs + xyz[1]*sn;
- fAlpha = alp;
- if (fAlpha < -TMath::Pi()) fAlpha += 2*TMath::Pi();
- else if (fAlpha >= TMath::Pi()) fAlpha -= 2*TMath::Pi();
-
- Double_t x1=fX, y1=fP0;
+ Int_t nstep = Int_t((GetX()-vertexX)/step);
+ if (nstep<1) nstep = 1;
+ step = (GetX()-vertexX)/nstep;
- fX = x1*ca + y1*sa;
- fP0=-x1*sa + y1*ca;
- fP2 = pp2;
+ // Double_t mparam[7], densMean=0, radLength=0, length=0;
+ Double_t mparam[7];
+ Double_t p1[3], p2[3], x = GetX(), bz = GetBz();
+ GetXYZ(p1);
- cf=ca + sf*sa/cf;
+ d=0.;
- if (!Invariant()) {cout<<dalp<<" Rotate !\n"; return 0;}
+ for (Int_t i=0; i<nstep; i++) {
+ x += step;
+ if (!GetXYZAt(x, bz, p2)) return kFALSE;
+ AliTracker::MeanMaterialBudget(p1, p2, mparam);
+ if (mparam[1]>900000) return kFALSE;
+ d += mparam[1];
- x1=fX; Double_t x2=xk, dx=x2-x1;
- Double_t f1=fP2, f2=f1 + fP4*dx;
- if (TMath::Abs(f2) >= 0.99999) {
- Int_t n=GetNumberOfClusters();
- if (n>kWARN) cerr<<n<<" AliITStrackV2 warning: Propagation failed !\n";
- return 0;
+ p1[0] = p2[0];
+ p1[1] = p2[1];
+ p1[2] = p2[2];
}
- Double_t r1=sqrt(1.- f1*f1), r2=sqrt(1.- f2*f2);
-
- fP0 += dx*(f1+f2)/(r1+r2);
- fP1 += dx*(f1+f2)/(f1*r2 + f2*r1)*fP3;
- fP2 += dx*fP4;
-
- //f = F - 1
- Double_t f02= dx/(r1*r1*r1);
- Double_t f04=0.5*dx*dx/(r1*r1*r1);
- Double_t f12= dx*fP3*f1/(r1*r1*r1);
- Double_t f14=0.5*dx*dx*fP3*f1/(r1*r1*r1);
- Double_t f13= dx/r1;
- Double_t f24= dx;
- /*
- //b = C*ft
- Double_t b00=f02*fC20 + f03*fC30, b01=f12*fC20 + f13*fC30 + f14*fC40;
- Double_t b02=f23*fC30;
- Double_t b10=f02*fC21 + f03*fC31, b11=f12*fC21 + f13*fC31 + f14*fC41;
- Double_t b12=f23*fC31;
- Double_t b20=f02*fC22 + f03*fC32, b21=f12*fC22 + f13*fC32 + f14*fC42;
- Double_t b22=f23*fC32;
- Double_t b30=f02*fC32 + f03*fC33, b31=f12*fC32 + f13*fC33 + f14*fC43;
- Double_t b32=f23*fC33;
- Double_t b40=f02*fC42 + f03*fC43, b41=f12*fC42 + f13*fC43 + f14*fC44;
- Double_t b42=f23*fC43;
-
- //a = f*b = f*C*ft
- Double_t a00=f02*b20+f03*b30,a01=f02*b21+f03*b31,a02=f02*b22+f03*b32;
- Double_t a11=f12*b21+f13*b31+f14*b41,a12=f12*b22+f13*b32+f14*b42;
- Double_t a22=f23*b32;
-
- //F*C*Ft = C + (b + bt + a)
- fC00 += b00 + b00 + a00;
- fC10 += b10 + b01 + a01;
- fC20 += b20 + b02 + a02;
- fC30 += b30;
- fC40 += b40;
- fC11 += b11 + b11 + a11;
- fC21 += b21 + b12 + a12;
- fC31 += b31;
- fC41 += b41;
- fC22 += b22 + b22 + a22;
- fC32 += b32;
- fC42 += b42;
-*/
-
- TMatrixD F(5,5); F.UnitMatrix();
- F(0,0)=-(f1+f2)/(r1+r2)*sa + ca; F(0,2)=f02*cf; F(0,4)=f04;
- F(1,0)=-(f1+f2)/(f1*r2 + f2*r1)*fP3*sa; F(1,2)=f12*cf; F(1,4)=f14; F(1,3)=f13;
- F(2,0)=-fP4*sa; F(2,2)=cf; F(2,4)=f24;
-
- TMatrixD C(5,5);
- C(0,0)=fC00;
- C(1,0)=fC10; C(1,1)=fC11;
- C(2,0)=fC20; C(2,1)=fC21; C(2,2)=fC22;
- C(3,0)=fC30; C(3,1)=fC31; C(3,2)=fC32; C(3,3)=fC33;
- C(4,0)=fC40; C(4,1)=fC41; C(4,2)=fC42; C(4,3)=fC43; C(4,4)=fC44;
-
- 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);
-
- TMatrixD tmp(C,TMatrixD::kMult,TMatrixD(TMatrixD::kTransposed, F));
- C.Mult(F,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);
-
- pp2=(1.+ GetTgl()*GetTgl())/(Get1Pt()*Get1Pt());
- Double_t beta2=pp2/(pp2 + pm*pm);
-
- //Multiple scattering******************
- //x0=0.;
- if (x0!=0.) {
- x0*=TMath::Sqrt((1.+ fP3*fP3)/(1.- fP2*fP2));
- Double_t theta2=14.1*14.1/(beta2*pp2*1e6)*x0;
- fC22 += theta2*(1.- fP2*fP2)*(1. + fP3*fP3);
- fC33 += theta2*(1. + fP3*fP3)*(1. + fP3*fP3);
- fC43 += theta2*fP3*fP4*(1. + fP3*fP3);
- fC44 += theta2*fP3*fP4*fP3*fP4;
- }
-
- //Energy losses************************
- if (rho!=0.) {
- rho*=TMath::Sqrt((1.+ fP3*fP3)/(1.- fP2*fP2));
- Double_t dE=0.153e-3/beta2*(log(5940*beta2/(1-beta2)) - beta2)*rho;
- if (x1 < x2) dE=-dE;
- fP4*=(1.- sqrt(pp2+pm*pm)/pp2*dE);
- }
+ return kTRUE;
+}
- 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;
+Bool_t AliITStrackV2::Improve(Double_t x0,Double_t xyz[3],Double_t ers[3]) {
+ //------------------------------------------------------------------
+ //This function improves angular track parameters
+ //------------------------------------------------------------------
+ //Store the initail track parameters
+
+ Double_t x = GetX();
+ Double_t alpha = GetAlpha();
+ Double_t par[] = {GetY(),GetZ(),GetSnp(),GetTgl(),GetSigned1Pt()};
+ Double_t cov[] = {
+ GetSigmaY2(),
+ GetSigmaZY(),
+ GetSigmaZ2(),
+ GetSigmaSnpY(),
+ GetSigmaSnpZ(),
+ GetSigmaSnp2(),
+ GetSigmaTglY(),
+ GetSigmaTglZ(),
+ GetSigmaTglSnp(),
+ GetSigmaTgl2(),
+ GetSigma1PtY(),
+ GetSigma1PtZ(),
+ GetSigma1PtSnp(),
+ GetSigma1PtTgl(),
+ GetSigma1Pt2()
+ };
+
+
+ Double_t cs=TMath::Cos(GetAlpha()), sn=TMath::Sin(GetAlpha());
+ Double_t xv = xyz[0]*cs + xyz[1]*sn; // vertex
+ Double_t yv =-xyz[0]*sn + xyz[1]*cs; // in the
+ Double_t zv = xyz[2]; // local frame
+
+ Double_t dx = x - xv, dy = par[0] - yv, dz = par[1] - zv;
+ Double_t r2=dx*dx + dy*dy;
+ Double_t p2=(1.+ GetTgl()*GetTgl())/(GetSigned1Pt()*GetSigned1Pt());
+ Double_t beta2=p2/(p2 + GetMass()*GetMass());
+ x0*=TMath::Sqrt((1.+ GetTgl()*GetTgl())/(1.- GetSnp()*GetSnp()));
+ Double_t theta2=14.1*14.1/(beta2*p2*1e6)*x0;
+ //Double_t theta2=1.0259e-6*14*14/28/(beta2*p2)*x0*9.36*2.33;
+
+ Double_t bz=GetBz();
+ Double_t cnv=bz*kB2C;
+ Double_t curv=GetC(bz);
+ {
+ Double_t dummy = 4/r2 - curv*curv;
+ if (dummy < 0) return kFALSE;
+ Double_t parp = 0.5*(curv*dx + dy*TMath::Sqrt(dummy));
+ Double_t sigma2p = theta2*(1.-GetSnp())*(1.+GetSnp())*(1. + GetTgl()*GetTgl());
+ Double_t ovSqr2 = 1./TMath::Sqrt(r2);
+ Double_t tfact = ovSqr2*(1.-dy*ovSqr2)*(1.+dy*ovSqr2);
+ sigma2p += cov[0]*tfact*tfact;
+ sigma2p += ers[1]*ers[1]/r2;
+ sigma2p += 0.25*cov[14]*cnv*cnv*dx*dx;
+ Double_t eps2p=sigma2p/(cov[5] + sigma2p);
+ par[0] += cov[3]/(cov[5] + sigma2p)*(parp - GetSnp());
+ par[2] = eps2p*GetSnp() + (1 - eps2p)*parp;
+ cov[5] *= eps2p;
+ cov[3] *= eps2p;
+ }
+ {
+ Double_t parl=0.5*curv*dz/TMath::ASin(0.5*curv*TMath::Sqrt(r2));
+ Double_t sigma2l=theta2;
+ sigma2l += cov[2]/r2 + cov[0]*dy*dy*dz*dz/(r2*r2*r2);
+ sigma2l += ers[2]*ers[2]/r2;
+ Double_t eps2l = sigma2l/(cov[9] + sigma2l);
+ par[1] += cov[7 ]/(cov[9] + sigma2l)*(parl - par[3]);
+ par[4] += cov[13]/(cov[9] + sigma2l)*(parl - par[3]);
+ par[3] = eps2l*par[3] + (1-eps2l)*parl;
+ cov[9] *= eps2l;
+ cov[13]*= eps2l;
+ cov[7] *= eps2l;
}
- fX=x2;
+ Set(x,alpha,par,cov);
- return 1;
+ if (!Invariant()) return kFALSE;
+
+ return kTRUE;
}
-Double_t AliITStrackV2::GetD() const {
- //------------------------------------------------------------------
- //This function calculates the transverse impact parameter
- //------------------------------------------------------------------
- Double_t sn=fP4*fX - fP2, cs=fP4*fP0 + TMath::Sqrt(1.- fP2*fP2);
- Double_t a=2*(fX*fP2 - fP0*TMath::Sqrt(1.- fP2*fP2))-fP4*(fX*fX + fP0*fP0);
- if (fP4<0) a=-a;
- return a/(1 + TMath::Sqrt(sn*sn + cs*cs));
-}
+void AliITStrackV2::CookdEdx(Double_t /*low*/, Double_t /*up*/) {
+ //-----------------------------------------------------------------
+ // This function calculates dE/dX within the "low" and "up" cuts.
+ // Origin: Boris Batyunya, JINR, Boris.Batiounia@cern.ch
+ // Updated: F. Prino 8-June-2009
+ //-----------------------------------------------------------------
+ // The cluster order is: SDD-1, SDD-2, SSD-1, SSD-2
+
+ Int_t nc=0;
+ Float_t dedx[4];
+ for (Int_t il=0; il<4; il++) { // count good (>0) dE/dx values
+ if(fdEdxSample[il]>0.){
+ dedx[nc]= fdEdxSample[il];
+ nc++;
+ }
+ }
+ if(nc<1){
+ SetdEdx(0.);
+ return;
+ }
+ Int_t swap; // sort in ascending order
+ do {
+ swap=0;
+ for (Int_t i=0; i<nc-1; i++) {
+ if (dedx[i]<=dedx[i+1]) continue;
+ Float_t tmp=dedx[i];
+ dedx[i]=dedx[i+1];
+ dedx[i+1]=tmp;
+ swap++;
+ }
+ } while (swap);
+
+
+ Double_t sumamp=0,sumweight=0;
+ Double_t weight[4]={1.,1.,0.,0.};
+ if(nc==3) weight[1]=0.5;
+ else if(nc<3) weight[1]=0.;
+ for (Int_t i=0; i<nc; i++) {
+ sumamp+= dedx[i]*weight[i];
+ sumweight+=weight[i];
+ }
+ SetdEdx(sumamp/sumweight);
+}
-Int_t AliITStrackV2::Improve(Double_t x0,Double_t yv,Double_t zv) {
+//____________________________________________________________________________
+Bool_t AliITStrackV2::
+GetPhiZat(Double_t r, Double_t &phi, Double_t &z) const {
//------------------------------------------------------------------
- //This function improves angular track parameters
+ // This function returns the global cylindrical (phi,z) of the track
+ // position estimated at the radius r.
+ // The track curvature is neglected.
//------------------------------------------------------------------
- Double_t dy=fP0-yv, dz=fP1-zv;
- Double_t r2=fX*fX+dy*dy;
- Double_t p2=(1.+ GetTgl()*GetTgl())/(Get1Pt()*Get1Pt());
- Double_t beta2=p2/(p2 + 0.14*0.14);
- x0*=TMath::Sqrt((1.+ GetTgl()*GetTgl())/(1.- GetSnp()*GetSnp()));
- Double_t theta2=14.1*14.1/(beta2*p2*1e6)*x0;
+ Double_t d=GetD(0.,0.);
+ if (TMath::Abs(d) > r) {
+ if (r>1e-1) return kFALSE;
+ r = TMath::Abs(d);
+ }
- Double_t par=0.5*(fP4*fX + dy*TMath::Sqrt(4/r2-fP4*fP4));
- Double_t sigma2 = theta2*(1.- GetSnp()*GetSnp())*(1. + GetTgl()*GetTgl());
- sigma2 += fC00/r2*(1.- dy*dy/r2)*(1.- dy*dy/r2);
- sigma2 += kSigmaYV*kSigmaYV/r2;
- sigma2 += 0.25*fC44*fX*fX;
- Double_t eps2=sigma2/(fC22+sigma2), eps=TMath::Sqrt(eps2);
- if (10*r2*fC44<fC22) {
- fP2 = eps2*fP2 + (1-eps2)*par;
- fC22*=eps2; fC21*=eps; fC20*=eps; fC32*=eps; fC42*=eps;
- }
-
- par=0.5*fP4*dz/TMath::ASin(0.5*fP4*TMath::Sqrt(r2));
- sigma2=theta2;
- sigma2 += fC11/r2+fC00*dy*dy*dz*dz/(r2*r2*r2);
- sigma2 += kSigmaZV*kSigmaZV/r2;
- eps2=sigma2/(fC33+sigma2); eps=TMath::Sqrt(eps2);
- Double_t tgl=fP3;
- fP3 = eps2*fP3 + (1-eps2)*par;
- fC33*=eps2; fC32*=eps; fC31*=eps; fC30*=eps; fC43*=eps;
-
- eps=TMath::Sqrt((1+fP3*fP3)/(1+tgl*tgl));
- fP4*=eps;
- fC44*=eps*eps; fC43*=eps;fC42*=eps; fC41*=eps; fC40*=eps;
-
- if (!Invariant()) return 0;
- return 1;
-}
+ Double_t rcurr=TMath::Sqrt(GetX()*GetX() + GetY()*GetY());
+ if (TMath::Abs(d) > rcurr) return kFALSE;
+ Double_t globXYZcurr[3]; GetXYZ(globXYZcurr);
+ Double_t phicurr=TMath::ATan2(globXYZcurr[1],globXYZcurr[0]);
+
+ if (GetX()>=0.) {
+ phi=phicurr+TMath::ASin(d/r)-TMath::ASin(d/rcurr);
+ } else {
+ phi=phicurr+TMath::ASin(d/r)+TMath::ASin(d/rcurr)-TMath::Pi();
+ }
-/*
-Int_t AliITStrackV2::Improve(Double_t x0,Double_t xv,Double_t yv) {
+ // return a phi in [0,2pi[
+ if (phi<0.) phi+=2.*TMath::Pi();
+ else if (phi>=2.*TMath::Pi()) phi-=2.*TMath::Pi();
+ z=GetZ()+GetTgl()*(TMath::Sqrt((r-d)*(r+d))-TMath::Sqrt((rcurr-d)*(rcurr+d)));
+ return kTRUE;
+}
+//____________________________________________________________________________
+Bool_t AliITStrackV2::
+GetLocalXat(Double_t r,Double_t &xloc) const {
//------------------------------------------------------------------
- //This function improves angular track parameters
+ // This function returns the local x of the track
+ // position estimated at the radius r.
+ // The track curvature is neglected.
//------------------------------------------------------------------
- TMatrixD I(5,5);
- TVectorD v(5); v(0)=fP0; v(1)=fP1; v(2)=fP2; v(3)=fP3; v(4)=fP4;
+ Double_t d=GetD(0.,0.);
+ if (TMath::Abs(d) > r) {
+ if (r>1e-1) return kFALSE;
+ r = TMath::Abs(d);
+ }
+
+ Double_t rcurr=TMath::Sqrt(GetX()*GetX() + GetY()*GetY());
+ Double_t globXYZcurr[3]; GetXYZ(globXYZcurr);
+ Double_t phicurr=TMath::ATan2(globXYZcurr[1],globXYZcurr[0]);
+ Double_t phi;
+ if (GetX()>=0.) {
+ phi=phicurr+TMath::ASin(d/r)-TMath::ASin(d/rcurr);
+ } else {
+ phi=phicurr+TMath::ASin(d/r)+TMath::ASin(d/rcurr)-TMath::Pi();
+ }
- Double_t r2=fX*fX+fP0*fP0;
- Double_t p2=(1.+ GetTgl()*GetTgl())/(Get1Pt()*Get1Pt());
- Double_t beta2=p2/(p2 + 0.14*0.14);
- x0*=TMath::Sqrt((1.+ GetTgl()*GetTgl())/(1.- GetSnp()*GetSnp()));
- Double_t theta2=14.1*14.1/(beta2*p2*1e6)*x0;
+ xloc=r*(TMath::Cos(phi)*TMath::Cos(GetAlpha())
+ +TMath::Sin(phi)*TMath::Sin(GetAlpha()));
- v(2)=0.5*(fP4*fX + fP0*TMath::Sqrt(4/r2-fP4*fP4));
- Double_t sigma2 = theta2*(1.- GetSnp()*GetSnp())*(1. + GetTgl()*GetTgl());
- sigma2 += fC00/r2*(1.- fP0*fP0/r2)*(1.- fP0*fP0/r2);
- sigma2 += kSigmaYV*kSigmaYV/r2;
- I(2,2)=1/sigma2;
-
- v(3)=0.5*fP4*fP1/TMath::ASin(0.5*fP4*TMath::Sqrt(r2));
- sigma2=theta2;
- sigma2 += fC11/r2+fC00*fP0*fP0*fP1*fP1/(r2*r2*r2);
- sigma2 += kSigmaZV*kSigmaZV/r2;
- I(3,3)=1/sigma2;
-
- Double_t tgl=fP3;
-
- TVectorD x(5); x(0)=fP0; x(1)=fP1; x(2)=fP2; x(3)=fP3; x(4)=fP4;
- TMatrixD C(5,5);
- C(0,0)=fC00;
- C(1,0)=fC10; C(1,1)=fC11;
- C(2,0)=fC20; C(2,1)=fC21; C(2,2)=fC22;
- C(3,0)=fC30; C(3,1)=fC31; C(3,2)=fC32; C(3,3)=fC33;
- C(4,0)=fC40; C(4,1)=fC41; C(4,2)=fC42; C(4,3)=fC43; C(4,4)=fC44;
-
- 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);
-
- TMatrixD tmp(I,TMatrixD::kMult,C),U(5,5); U.UnitMatrix();
- U+=tmp;
- U.Invert();
- TMatrixD W1(U);
- TMatrixD W2(tmp,TMatrixD::kMult,W1);
-
- v*=W2; x*=W1; x+=v;
-
- C*=W1;
-
-
- fP0=x(0); fP1=x(1); fP2=x(2); fP3=x(3); fP4=x(4);
- 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);
-
- eps=TMath::Sqrt((1+fP3*fP3)/(1+tgl*tgl));
- fP4*=eps;
- fC44*=eps*eps; fC43*=eps;fC42*=eps; fC41*=eps; fC40*=eps;
-
- if (!Invariant()) return 0;
- return 1;
-}
-*/
+ return kTRUE;
+}
+//____________________________________________________________________________
+Bool_t AliITStrackV2::ImproveKalman(Double_t xyz[3],Double_t ers[3], const Double_t* xlMS, const Double_t* x2X0MS, Int_t nMS)
+{
+ // Substitute the state of the track (p_{k|k},C_{k|k}) at the k-th measumerent by its
+ // smoothed value from the k-th measurement + measurement at the vertex.
+ // Account for the MS on nMS layers at x-postions xlMS with x/x0 = x2X0MS
+ // p_{k|kv} = p_{k|k} + C_{k|k}*D^Tr_{k+1} B^{-1}_{k+1} ( vtx - D_{k+1}*p_{k|k})
+ // C_{k|kv} = C_{k|k}*( I - D^Tr_{k+1} B^{-1}_{k+1} D_{k+1} C^Tr_{k|k})
+ //
+ // where D_{k} = H_{k} F_{k} with H being the matrix converting the tracks parameters
+ // to measurements m_{k} = H_{k} p_{k} and F_{k} the matrix propagating the track between the
+ // the point k-1 and k: p_{k|k-1} = F_{k} p_{k-1|k-1}
+ //
+ // B_{k+1} = V_{k+1} + H_{k+1} C_{k+1|k} H^Tr_{k+1} with V_{k+1} being the error of the measurment
+ // at point k+1 (i.e. vertex), and C_{k+1|k} - error matrix extrapolated from k-th measurement to
+ // k+1 (vtx) and accounting for the MS inbetween
+ //
+ // H = {{1,0,0,0,0},{0,1,0,0,0}}
+ //
+ double covc[15], *cori = (double*) GetCovariance(),par[5] = {GetY(),GetZ(),GetSnp(),GetTgl(),GetSigned1Pt()},
+ &c00=cori[0],
+ &c01=cori[1],&c11=cori[2],
+ &c02=cori[3],&c12=cori[4],&c22=cori[5],
+ &c03=cori[6],&c13=cori[7],&c23=cori[8],&c33=cori[9],
+ &c04=cori[10],&c14=cori[11],&c24=cori[12],&c34=cori[13],&c44=cori[14],
+ // for smoothed cov matrix
+ &cov00=covc[0],
+ &cov01=covc[1],&cov11=covc[2],
+ &cov02=covc[3],&cov12=covc[4],&cov22=covc[5],
+ &cov03=covc[6],&cov13=covc[7],&cov23=covc[8],&cov33=covc[9],
+ &cov04=covc[10],&cov14=covc[11],&cov24=covc[12],&cov34=covc[13],&cov44=covc[14];
+ //
+ double x = GetX(), alpha = GetAlpha();
+ // vertex in the track frame
+ double cs=TMath::Cos(alpha), sn=TMath::Sin(alpha);
+ double xv = xyz[0]*cs + xyz[1]*sn, yv =-xyz[0]*sn + xyz[1]*cs, zv = xyz[2];
+ double dx = xv - GetX();
+ if (TMath::Abs(dx)<=kAlmost0) return kTRUE;
+ //
+ double cnv=GetBz()*kB2C, x2r=cnv*par[4]*dx, f1=par[2], f2=f1+x2r;
+ if (TMath::Abs(f1) >= kAlmost1 || TMath::Abs(f2) >= kAlmost1) {
+ AliInfo(Form("Fail: %+e %+e",f1,f2));
+ return kFALSE;
+ }
+ double r1=TMath::Sqrt((1.-f1)*(1.+f1)), r2=TMath::Sqrt((1.-f2)*(1.+f2)), dx2r=dx/(r1+r2);
+ // elements of matrix F_{k+1} (1s on diagonal)
+ double f02 = 2*dx2r, f04 = cnv*dx*dx2r, f13/*, f24 = cnv*dx*/;
+ if (TMath::Abs(x2r)<0.05) f13 = dx*r2+f2*(f1+f2)*dx2r; // see AliExternalTrackParam::PropagateTo
+ else {
+ double dy2dx = (f1+f2)/(r1+r2);
+ f13 = 2*TMath::ASin(0.5*TMath::Sqrt(1+dy2dx*dy2dx)*x2r)/(cnv*par[4]);
+ }
+ // elements of matrix D_{k+1} = H_{k+1} * F_{k+1}
+ // double d00 = 1., d11 = 1.;
+ double &d02 = f02, &d04 = f04, &d13 = f13;
+ //
+ // elements of matrix DC = D_{k+1}*C_{kk}^T
+ double dc00 = c00+c02*d02+c04*d04, dc10 = c01+c03*d13;
+ double dc01 = c01+c12*d02+c14*d04, dc11 = c11+c13*d13;
+ double dc02 = c02+c22*d02+c24*d04, dc12 = c12+c23*d13;
+ double dc03 = c03+c23*d02+c34*d04, dc13 = c13+c33*d13;
+ double dc04 = c04+c24*d02+c44*d04, dc14 = c14+c34*d13;
+ //
+ // difference between the vertex and the the track extrapolated to vertex
+ yv -= par[0] + par[2]*d02 + par[4]*d04;
+ zv -= par[1] + par[3]*d13;
+ //
+ // y,z part of the cov.matrix extrapolated to vtx (w/o MS contribution)
+ // C_{k+1,k} = H F_{k+1} C_{k,k} F^Tr_{k+1} H^Tr = D C D^Tr
+ double cv00 = dc00+dc02*d02+dc04*d04, cv01 = dc01+dc03*d13, cv11 = dc11+dc13*d13;
+ //
+ // add MS contribution layer by layer
+ double xCurr = x;
+ double p2Curr = par[2];
+ //
+ // precalculated factors of MS contribution matrix:
+ double ms22t = (1. + par[3]*par[3]);
+ double ms33t = ms22t*ms22t;
+ double p34 = par[3]*par[4];
+ double ms34t = p34*ms22t;
+ double ms44t = p34*p34;
+ //
+ double p2=(1.+ par[3]*par[3])/(par[4]*par[4]);
+ double beta2 = p2/(p2+GetMass()*GetMass());
+ double theta2t = 14.1*14.1/(beta2*p2*1e6) * (1. + par[3]*par[3]);
+ //
+ // account for the MS in the layers between the last measurement and the vertex
+ for (int il=0;il<nMS;il++) {
+ double dfx = xlMS[il] - xCurr;
+ xCurr = xlMS[il];
+ p2Curr += dfx*cnv*par[4]; // p2 at the scattering layer
+ double dxL=xv - xCurr; // distance from scatering layer to vtx
+ double x2rL=cnv*par[4]*dxL, f1L=p2Curr, f2L=f1L+x2rL;
+ if (TMath::Abs(f1L) >= kAlmost1 || TMath::Abs(f2L) >= kAlmost1) {
+ AliInfo(Form("FailMS at step %d of %d: dfx:%e dxL:%e %e %e",il,nMS,dfx,dxL,f1L,f2L));
+ return kFALSE;
+ }
+ double r1L=TMath::Sqrt((1.-f1L)*(1.+f1L)), r2L=TMath::Sqrt((1.-f2L)*(1.+f2L)), dx2rL=dxL/(r1L+r2L);
+ // elements of matrix for propagation from scatering layer to vertex
+ double f02L = 2*dx2rL, f04L = cnv*dxL*dx2rL, f13L/*, f24L = cnv*dxL*/;
+ if (TMath::Abs(x2rL)<0.05) f13L = dxL*r2L+f2L*(f1L+f2L)*dx2rL; // see AliExternalTrackParam::PropagateTo
+ else {
+ double dy2dxL = (f1L+f2L)/(r1L+r2L);
+ f13L = 2*TMath::ASin(0.5*TMath::Sqrt(1+dy2dxL*dy2dxL)*x2rL)/(cnv*par[4]);
+ }
+ // MS contribution matrix:
+ double theta2 = theta2t*TMath::Abs(x2X0MS[il]);
+ double ms22 = theta2*(1.-p2Curr)*(1.+p2Curr)*ms22t;
+ double ms33 = theta2*ms33t;
+ double ms34 = theta2*ms34t;
+ double ms44 = theta2*ms44t;
+ //
+ // add H F MS F^Tr H^Tr to cv
+ cv00 += f02L*f02L*ms22 + f04L*f04L*ms44;
+ cv01 += f04L*f13L*ms34;
+ cv11 += f13L*f13L*ms33;
+ }
+ //
+ // inverse of matrix B
+ double b11 = ers[1]*ers[1] + cv00;
+ double b00 = ers[2]*ers[2] + cv11;
+ double det = b11*b00 - cv01*cv01;
+ if (TMath::Abs(det)<kAlmost0) {
+ AliInfo(Form("Fail on det %e: %e %e %e",det,cv00,cv11,cv01));
+ return kFALSE;
+ }
+ det = 1./det;
+ b00 *= det; b11 *= det;
+ double b01 = -cv01*det;
+ //
+ // elements of matrix DC^Tr * B^-1
+ double dcb00 = b00*dc00+b01*dc10, dcb01 = b01*dc00+b11*dc10;
+ double dcb10 = b00*dc01+b01*dc11, dcb11 = b01*dc01+b11*dc11;
+ double dcb20 = b00*dc02+b01*dc12, dcb21 = b01*dc02+b11*dc12;
+ double dcb30 = b00*dc03+b01*dc13, dcb31 = b01*dc03+b11*dc13;
+ double dcb40 = b00*dc04+b01*dc14, dcb41 = b01*dc04+b11*dc14;
+ //
+ // p_{k|k+1} = p_{k|k} + C_{k|k}*D^Tr_{k+1} B^{-1}_{k+1} ( vtx - D_{k+1}*p_{k|k})
+ par[0] += dcb00*yv + dcb01*zv;
+ par[1] += dcb10*yv + dcb11*zv;
+ par[2] += dcb20*yv + dcb21*zv;
+ par[3] += dcb30*yv + dcb31*zv;
+ par[4] += dcb40*yv + dcb41*zv;
+ //
+ // C_{k|kv} = C_{k|k} - C_{k|k} D^Tr_{k+1} B^{-1}_{k+1} D_{k+1} C^Tr_{k|k})
+ //
+ cov00 = c00 - (dc00*dcb00 + dc10*dcb01);
+ cov01 = c01 - (dc01*dcb00 + dc11*dcb01);
+ cov02 = c02 - (dc02*dcb00 + dc12*dcb01);
+ cov03 = c03 - (dc03*dcb00 + dc13*dcb01);
+ cov04 = c04 - (dc04*dcb00 + dc14*dcb01);
+ //
+ cov11 = c11 - (dc01*dcb10 + dc11*dcb11);
+ cov12 = c12 - (dc02*dcb10 + dc12*dcb11);
+ cov13 = c13 - (dc03*dcb10 + dc13*dcb11);
+ cov14 = c14 - (dc04*dcb10 + dc14*dcb11);
+ //
+ cov22 = c22 - (dc02*dcb20 + dc12*dcb21);
+ cov23 = c23 - (dc03*dcb20 + dc13*dcb21);
+ cov24 = c24 - (dc04*dcb20 + dc14*dcb21);
+ //
+ cov33 = c33 - (dc03*dcb30 + dc13*dcb31);
+ cov34 = c34 - (dc04*dcb30 + dc14*dcb31);
+ //
+ cov44 = c44 - (dc04*dcb40 + dc14*dcb41);
+ //
+ Set(x,alpha,par,covc);
+ if (!Invariant()) {
+ AliInfo(Form("Fail on Invariant, X=%e",GetX()));
+ return kFALSE;
+ }
+ return kTRUE;
+ //
+}
git://git.uio.no / u / mrichter / AliRoot.git / blobdiff