// Implementation of the ITS track class
//
// Origin: Iouri Belikov, CERN, Jouri.Belikov@cern.ch
+// dEdx analysis by: Boris Batyunya, JINR, Boris.Batiounia@cern.ch
//-------------------------------------------------------------------------
#include <TMatrixD.h>
#include <TMath.h>
-#include <iostream.h>
#include "AliCluster.h"
-#include "../TPC/AliTPCtrack.h"
+#include "AliTPCtrack.h"
+#include "AliESDtrack.h"
#include "AliITStrackV2.h"
ClassImp(AliITStrackV2)
-const Int_t kWARN=1;
+const Int_t kWARN=5;
//____________________________________________________________________________
-AliITStrackV2::AliITStrackV2(const AliTPCtrack& t) throw (const Char_t *) {
+AliITStrackV2::AliITStrackV2():AliKalmanTrack(),
+ fX(0),
+ fAlpha(0),
+ fdEdx(0),
+ fP0(0),
+ fP1(0),
+ fP2(0),
+ fP3(0),
+ fP4(0),
+ fC00(0),
+ fC10(0),
+ fC11(0),
+ fC20(0),
+ fC21(0),
+ fC22(0),
+ fC30(0),
+ fC31(0),
+ fC32(0),
+ fC33(0),
+ fC40(0),
+ fC41(0),
+ fC42(0),
+ fC43(0),
+ fC44(0),
+ fESDtrack(0)
+ {
+ for(Int_t i=0; i<kMaxLayer; i++) fIndex[i]=0;
+ for(Int_t i=0; i<4; i++) fdEdxSample[i]=0;
+}
+
+//____________________________________________________________________________
+AliITStrackV2::AliITStrackV2(const AliTPCtrack& t) throw (const Char_t *) :
+AliKalmanTrack(t) {
//------------------------------------------------------------------
//Conversion TPC track -> ITS track
//------------------------------------------------------------------
- SetLabel(t.GetLabel());
SetChi2(0.);
SetNumberOfClusters(0);
- fdEdx = 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];
+ fP0=p[0];
+ fP1=p[1];
fP2=p[2];
fP3=p[3];
- fP4=p[4]/x;
+ fP4=p[4]/x;
//Conversion of the covariance matrix
Double_t c[15]; t.GetExternalCovariance(c);
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";
+
+}
+
+//____________________________________________________________________________
+AliITStrackV2::AliITStrackV2(AliESDtrack& t,Bool_t c) throw (const Char_t *) :
+AliKalmanTrack() {
+ //------------------------------------------------------------------
+ // Conversion ESD track -> ITS track.
+ // If c==kTRUE, create the ITS track out of the constrained params.
+ //------------------------------------------------------------------
+ SetNumberOfClusters(t.GetITSclusters(fIndex));
+ SetLabel(t.GetLabel());
+ SetMass(t.GetMass());
+
+ fdEdx=t.GetITSsignal();
+ 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];
+ if (c) t.GetConstrainedExternalParameters(x,p);
+ else 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 cv[15];
+ if (c) t.GetConstrainedExternalCovariance(cv);
+ else t.GetExternalCovariance(cv);
+ fC00=cv[0 ];
+ fC10=cv[1 ]; fC11=cv[2 ];
+ fC20=cv[3 ]; fC21=cv[4 ]; fC22=cv[5 ];
+ fC30=cv[6 ]; fC31=cv[7 ]; fC32=cv[8 ]; fC33=cv[9 ];
+ fC40=cv[10]/x; fC41=cv[11]/x; fC42=cv[12]/x; fC43=cv[13]/x; fC44=cv[14]/x/x;
+
+ if (t.GetStatus()&AliESDtrack::kTIME) {
+ StartTimeIntegral();
+ Double_t times[10]; t.GetIntegratedTimes(times); SetIntegratedTimes(times);
+ SetIntegratedLength(t.GetIntegratedLength());
+ }
+ fESDtrack=&t;
+
+ //if (!Invariant()) throw "AliITStrackV2: conversion failed !\n";
+
+}
+
+void AliITStrackV2::UpdateESDtrack(ULong_t flags) {
+ fESDtrack->UpdateTrackParams(this,flags);
+}
+void AliITStrackV2::SetConstrainedESDtrack(Double_t chi2) {
+ fESDtrack->SetConstrainedTrackParams(this,chi2);
}
//____________________________________________________________________________
fC40=t.fC40; fC41=t.fC41; fC42=t.fC42; fC43=t.fC43; fC44=t.fC44;
Int_t n=GetNumberOfClusters();
- for (Int_t i=0; i<n; i++) fIndex[i]=t.fIndex[i];
+ for (Int_t i=0; i<n; i++) {
+ fIndex[i]=t.fIndex[i];
+ if (i<4) fdEdxSample[i]=t.fdEdxSample[i];
+ }
+ fESDtrack=t.fESDtrack;
}
//_____________________________________________________________________________
//-----------------------------------------------------------------
// 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=TMath::Abs(t->Get1Pt());
+ //Double_t c =TMath::Abs(Get1Pt());
+ 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;
}
//____________________________________________________________________________
-Int_t AliITStrackV2::PropagateToVertex(Double_t x0,Double_t rho,Double_t pm) {
+Int_t AliITStrackV2::PropagateToVertex(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 xv=fP2*(fX*fP2 - fP0*TMath::Sqrt(1.- fP2*fP2)); //linear approxim.
+ Double_t tgf=-(fP4*fX - fP2)/(fP4*fP0 + TMath::Sqrt(1 - fP2*fP2));
+ Double_t snf=tgf/TMath::Sqrt(1.+ tgf*tgf);
+ Double_t xv=(snf - fP2)/fP4 + fX;
+ return PropagateTo(xv,d,x0);
}
//____________________________________________________________________________
//------------------------------------------------------------------
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";
+ if (TMath::Abs(f2) >= 0.9999) {
+ Int_t n=GetNumberOfClusters();
+ if (n>kWARN)
+ Warning("GetGlobalXYZat","Propagation failed (%d) !\n",n);
return 0;
}
r00+=fC00; r01+=fC10; r11+=fC11;
Double_t det=r00*r11 - r01*r01;
- if (TMath::Abs(det) < 1.e-10) {
+ if (TMath::Abs(det) < 1.e-30) {
Int_t n=GetNumberOfClusters();
- if (n>4) cerr<<n<<" AliKalmanTrack warning: Singular matrix !\n";
+ 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=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]);
+//____________________________________________________________________________
+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());
+ d*=TMath::Sqrt((1.+ fP3*fP3)/(1.- fP2*fP2));
- 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;
+ //Multiple scattering******************
+ if (d!=0) {
+ Double_t theta2=14.1*14.1/(beta2*p2*1e6)*TMath::Abs(d);
+ //Double_t theta2=1.0259e-6*14*14/28/(beta2*p2)*TMath::Abs(d)*9.36*2.33;
+ 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;
+ }
- Double_t v22=0.,v33=0.;
- //x0=0.;
+ //Energy losses************************
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;
+ d*=x0;
+ Double_t dE=0.153e-3/beta2*(log(5940*beta2/(1-beta2)) - 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);
}
- R.Invert();
+ if (!Invariant()) return 0;
- TVectorD rs=res;
- res*=R;
- return rs*res;
+ return 1;
}
//____________________________________________________________________________
-Int_t
-AliITStrackV2::PropagateTo(Double_t xk,Double_t x0,Double_t rho,Double_t pm) {
+Int_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) {
+ if (TMath::Abs(f2) >= 0.9999) {
Int_t n=GetNumberOfClusters();
- if (n>kWARN) cerr<<n<<" AliITStrackV2 warning: Propagation failed !\n";
+ if (n>kWARN)
+ Warning("PropagateTo","Propagation failed !\n",n);
return 0;
}
+ // old position [SR, GSI, 17.02.2003]
+ Double_t oldX = fX, oldY = fP0, oldZ = fP1;
+
Double_t r1=sqrt(1.- f1*f1), r2=sqrt(1.- f2*f2);
fP0 += dx*(f1+f2)/(r1+r2);
fX=x2;
- Double_t p2=(1.+ GetTgl()*GetTgl())/(Get1Pt()*Get1Pt());
- Double_t beta2=p2/(p2 + pm*pm);
+ if (!CorrectForMaterial(d,x0)) return 0;
- //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;
+ // Integrated Time [SR, GSI, 17.02.2003]
+ if (IsStartedTimeIntegral() && fX>oldX) {
+ Double_t l2 = (fX-oldX)*(fX-oldX)+(fP0-oldY)*(fP0-oldY)+
+ (fP1-oldZ)*(fP1-oldZ);
+ AddTimeStep(TMath::Sqrt(l2));
}
-
- //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;
}
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;
return 0;
}
+ if (chi2<0) return 1;
+
Int_t n=GetNumberOfClusters();
fIndex[n]=index;
SetNumberOfClusters(n+1);
return 1;
}
-
-//____________________________________________________________________________
-Int_t AliITStrackV2::Update(const Double_t* m, Double_t chi2, UInt_t index) {
+Int_t AliITStrackV2::Invariant() const {
//------------------------------------------------------------------
- //This function updates track parameters with a vertex constraint
+ // This function is for debugging purpose only
//------------------------------------------------------------------
- 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;
+ Int_t n=GetNumberOfClusters();
- TVectorD savex=x;
- x*=H; x-=mm; x*=-1; x*=K; x+=savex;
-
- TMatrixD saveC=C;
- C.Mult(K,tmp); C-=saveC; C*=-1;
-
- 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);
-
-
- 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;
+ if (TMath::Abs(fP2)>=0.9999){
+ if (n>kWARN) Warning("Invariant","fP2=%f\n",fP2);
+ return 0;
+ }
+ if (fC00<=0 || fC00>9.) {
+ if (n>kWARN) Warning("Invariant","fC00=%f\n",fC00);
+ return 0;
+ }
+ if (fC11<=0 || fC11>9.) {
+ if (n>kWARN) Warning("Invariant","fC11=%f\n",fC11);
+ return 0;
+ }
+ if (fC22<=0 || fC22>1.) {
+ if (n>kWARN) Warning("Invariant","fC22=%f\n",fC22);
+ return 0;
+ }
+ if (fC33<=0 || fC33>1.) {
+ if (n>kWARN) Warning("Invariant","fC33=%f\n",fC33);
+ return 0;
+ }
+ if (fC44<=0 || fC44>6e-5) {
+ if (n>kWARN) Warning("Invariant","fC44=%f\n",fC44);
return 0;
}
-
- 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
- //------------------------------------------------------------------
- //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;
-}
-
//____________________________________________________________________________
-Int_t AliITStrackV2::Propagate(Double_t alp, Double_t xk,
-Double_t x0,Double_t rho,Double_t pm) {
+Int_t AliITStrackV2::Propagate(Double_t alp,Double_t xk) {
//------------------------------------------------------------------
//This function propagates a track
//------------------------------------------------------------------
+ Double_t alpha=fAlpha, x=fX;
Double_t p0=fP0,p1=fP1,p2=fP2,p3=fP3,p4=fP4;
Double_t c00=fC00;
Double_t c10=fC10, c11=fC11;
Double_t c30=fC30, c31=fC31, c32=fC32, c33=fC33;
Double_t c40=fC40, c41=fC41, c42=fC42, c43=fC43, c44=fC44;
+ if (alp < -TMath::Pi()) alp += 2*TMath::Pi();
+ else if (alp >= TMath::Pi()) alp -= 2*TMath::Pi();
+ Double_t ca=TMath::Cos(alp-fAlpha), sa=TMath::Sin(alp-fAlpha);
+ Double_t sf=fP2, cf=TMath::Sqrt(1.- fP2*fP2);
- Double_t dalp=alp-fAlpha;
-
- Double_t ca=TMath::Cos(dalp), sa=TMath::Sin(dalp);
- Double_t sf=fP2, cf=TMath::Sqrt(1.- fP2*fP2);
-
- 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;
- }
-
+ TMatrixD *T=0;
+ // **** rotation **********************
+ {
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;
-
- fX = x1*ca + y1*sa;
- fP0=-x1*sa + y1*ca;
- fP2 = pp2;
+ fX = x*ca + p0*sa;
+ fP0= -x*sa + p0*ca;
+ fP2= sf*ca - cf*sa;
+
+ 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);
- cf=ca + sf*sa/cf;
+ 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;
- if (!Invariant()) {cout<<dalp<<" Rotate !\n"; return 0;}
+ TMatrixD tmp(C,TMatrixD::kMult,TMatrixD(TMatrixD::kTransposed, F));
+ T=new TMatrixD(F,TMatrixD::kMult,tmp);
+ }
- x1=fX; Double_t x2=xk, dx=x2-x1;
+ // **** translation ******************
+ {
+ Double_t dx=xk-fX;
Double_t f1=fP2, f2=f1 + fP4*dx;
- if (TMath::Abs(f2) >= 0.99999) {
+ if (TMath::Abs(f2) >= 0.9999) {
Int_t n=GetNumberOfClusters();
- if (n>kWARN) cerr<<n<<" AliITStrackV2 warning: Propagation failed !\n";
+ if (n>kWARN)
+ Warning("Propagate","Propagation failed (%d) !\n",n);
return 0;
}
-
- Double_t r1=sqrt(1.- f1*f1), r2=sqrt(1.- f2*f2);
+ Double_t r1=TMath::Sqrt(1.- f1*f1), r2=TMath::Sqrt(1.- f2*f2);
+ fX=xk;
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);
+ 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);
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);
- }
-
if (!Invariant()) {
+ fAlpha=alpha;
+ fX=x;
fP0=p0; fP1=p1; fP2=p2; fP3=p3; fP4=p4;
fC00=c00;
fC10=c10; fC11=c11;
fC40=c40; fC41=c41; fC42=c42; fC43=c43; fC44=c44;
return 0;
}
-
- fX=x2;
+ }
return 1;
}
-Double_t AliITStrackV2::GetD() const {
+Double_t AliITStrackV2::GetD(Double_t x, Double_t y) const {
//------------------------------------------------------------------
- //This function calculates the transverse impact parameter
+ // This function calculates the transverse impact parameter
+ // with respect to a point with global coordinates (x,y)
//------------------------------------------------------------------
- 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);
+ Double_t xt=fX, yt=fP0;
+
+ Double_t sn=TMath::Sin(fAlpha), cs=TMath::Cos(fAlpha);
+ Double_t a = x*cs + y*sn;
+ y = -x*sn + y*cs; x=a;
+ xt-=x; yt-=y;
+
+ sn=fP4*xt - fP2; cs=fP4*yt + TMath::Sqrt(1.- fP2*fP2);
+ a=2*(xt*fP2 - yt*TMath::Sqrt(1.- fP2*fP2))-fP4*(xt*xt + yt*yt);
if (fP4<0) a=-a;
return a/(1 + TMath::Sqrt(sn*sn + cs*cs));
-}
+}
+Int_t AliITStrackV2::Improve(Double_t x0,Double_t xyz[3],Double_t ers[3]) {
+ //------------------------------------------------------------------
+ //This function improves angular track parameters
+ //------------------------------------------------------------------
+ Double_t cs=TMath::Cos(fAlpha), sn=TMath::Sin(fAlpha);
+ //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 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 + 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 parp=0.5*(fP4*fX + dy*TMath::Sqrt(4/r2-fP4*fP4));
+ Double_t sigma2p = theta2*(1.- GetSnp()*GetSnp())*(1. + GetTgl()*GetTgl());
+ sigma2p += fC00/r2*(1.- dy*dy/r2)*(1.- dy*dy/r2);
+ sigma2p += ers[1]*ers[1]/r2;
+ sigma2p += 0.25*fC44*fX*fX;
+ Double_t eps2p=sigma2p/(fC22+sigma2p);
+ fP0 += fC20/(fC22+sigma2p)*(parp-fP2);
+ fP2 = eps2p*fP2 + (1-eps2p)*parp;
+ fC22 *= eps2p;
+ fC20 *= eps2p;
+ }
+ {
+ Double_t parl=0.5*fP4*dz/TMath::ASin(0.5*fP4*TMath::Sqrt(r2));
+ Double_t sigma2l=theta2;
+ sigma2l += fC11/r2+fC00*dy*dy*dz*dz/(r2*r2*r2);
+ sigma2l += ers[2]*ers[2]/r2;
+ Double_t eps2l=sigma2l/(fC33+sigma2l);
+ fP1 += fC31/(fC33+sigma2l)*(parl-fP3);
+ fP4 += fC43/(fC33+sigma2l)*(parl-fP3);
+ fP3 = eps2l*fP3 + (1-eps2l)*parl;
+ fC33 *= eps2l; fC43 *= eps2l;
+ fC31 *= eps2l;
+ }
+ if (!Invariant()) return 0;
+ return 1;
+}
+/*
Int_t AliITStrackV2::Improve(Double_t x0,Double_t yv,Double_t zv) {
//------------------------------------------------------------------
//This function improves angular track parameters
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);
+ 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=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 par=0.5*(fP4*fX + dy*TMath::Sqrt(4/r2-fP4*fP4));
Double_t sigma2 = theta2*(1.- GetSnp()*GetSnp())*(1. + GetTgl()*GetTgl());
if (!Invariant()) return 0;
return 1;
}
-
-/*
-Int_t AliITStrackV2::Improve(Double_t x0,Double_t xv,Double_t yv) {
+*/
+void AliITStrackV2::ResetCovariance() {
//------------------------------------------------------------------
- //This function improves angular track parameters
+ //This function makes a track forget its history :)
//------------------------------------------------------------------
- TMatrixD I(5,5);
- TVectorD v(5); v(0)=fP0; v(1)=fP1; v(2)=fP2; v(3)=fP3; v(4)=fP4;
-
- 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;
-
- 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);
+ fC00*=10.;
+ fC10=0.; fC11*=10.;
+ fC20=0.; fC21=0.; fC22*=10.;
+ fC30=0.; fC31=0.; fC32=0.; fC33*=10.;
+ fC40=0.; fC41=0.; fC42=0.; fC43=0.; fC44*=10.;
- 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;
-}
-*/
+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
+ //-----------------------------------------------------------------
+ // The clusters order is: SSD-2, SSD-1, SDD-2, SDD-1, SPD-2, SPD-1
+
+ Int_t i;
+ Int_t nc=0;
+ for (i=0; i<GetNumberOfClusters(); i++) {
+ Int_t idx=GetClusterIndex(i);
+ idx=(idx&0xf0000000)>>28;
+ if (idx>1) nc++; // Take only SSD and SDD
+ }
+ Int_t swap;//stupid sorting
+ do {
+ swap=0;
+ for (i=0; i<nc-1; i++) {
+ if (fdEdxSample[i]<=fdEdxSample[i+1]) continue;
+ Float_t tmp=fdEdxSample[i];
+ fdEdxSample[i]=fdEdxSample[i+1]; fdEdxSample[i+1]=tmp;
+ swap++;
+ }
+ } while (swap);
+
+ Int_t nl=Int_t(low*nc), nu=Int_t(up*nc); //b.b. to take two lowest dEdX
+ // values from four ones choose
+ // nu=2
+ Float_t dedx=0;
+ for (i=nl; i<nu; i++) dedx += fdEdxSample[i];
+ if (nu-nl>0) dedx /= (nu-nl);
+
+ SetdEdx(dedx);
+}