* provided "as is" without express or implied warranty. *
**************************************************************************/
-/*
-$Log$
-Revision 1.3 2000/10/15 23:40:01 cblume
-Remove AliTRDconst
+/* $Id$ */
-Revision 1.2 2000/10/06 16:49:46 cblume
-Made Getters const
+#include <Riostream.h>
+#include <TMath.h>
+#include <TVector2.h>
-Revision 1.1.2.1 2000/09/22 14:47:52 cblume
-Add the tracking code
-
-*/
-
-#include <iostream.h>
-
-#include <TObject.h>
-
-#include "AliTRD.h"
+#include "AliESDtrack.h"
#include "AliTRDgeometry.h"
#include "AliTRDcluster.h"
#include "AliTRDtrack.h"
+#include "AliTRDtracklet.h"
ClassImp(AliTRDtrack)
+///////////////////////////////////////////////////////////////////////////////
+// //
+// Represents a reconstructed TRD track //
+// Local TRD Kalman track //
+// //
+///////////////////////////////////////////////////////////////////////////////
+
+AliTRDtrack::AliTRDtrack():
+ AliKalmanTrack(),
+ fSeedLab(-1),
+ fdEdx(0),
+ fdEdxT(0),
+ fDE(0),
+ fAlpha(0),
+ fX(0),
+ fStopped(kFALSE),
+ fY(0),
+ fZ(0),
+ fE(0),
+ fT(0),
+ fC(0),
+ fCyy(1e10),
+ fCzy(0),
+ fCzz(1e10),
+ fCey(0),
+ fCez(0),
+ fCee(1e10),
+ fCty(0),
+ fCtz(0),
+ fCte(0),
+ fCtt(1e10),
+ fCcy(0),
+ fCcz(0),
+ fCce(0),
+ fCct(0),
+ fCcc(1e10),
+ fLhElectron(0),
+ fNWrong(0),
+ fNRotate(0),
+ fNCross(0),
+ fNExpected(0),
+ fNLast(0),
+ fNExpectedLast(0),
+ fNdedx(0),
+ fChi2Last(1e10),
+ fBackupTrack(0x0)
-//_____________________________________________________________________________
+{
+ for (Int_t i=0; i<kNplane; i++) {
+ for (Int_t j=0; j<kNslice; j++) {
+ fdEdxPlane[i][j] = 0;
+ }
+ fTimBinPlane[i] = -1;
+ }
+ for (UInt_t i=0; i<kMAXCLUSTERSPERTRACK; i++) {
+ fIndex[i] = 0;
+ fIndexBackup[i] = 0;
+ fdQdl[i] = 0;
+ }
+ for (Int_t i=0; i<3; i++) fBudget[i] = 0;
+}
-AliTRDtrack::AliTRDtrack(UInt_t index, const Double_t xx[5],
-const Double_t cc[15], Double_t xref, Double_t alpha) {
+//_____________________________________________________________________________
+AliTRDtrack::AliTRDtrack(const AliTRDcluster *c, UInt_t index,
+ const Double_t xx[5], const Double_t cc[15],
+ Double_t xref, Double_t alpha) : AliKalmanTrack() {
//-----------------------------------------------------------------
// This is the main track constructor.
//-----------------------------------------------------------------
- fLab=-1;
- fChi2=0.;
- fdEdx=0.;
+
+ fSeedLab = -1;
fAlpha=alpha;
+ if (fAlpha<-TMath::Pi()) fAlpha += 2*TMath::Pi();
+ if (fAlpha>=TMath::Pi()) fAlpha -= 2*TMath::Pi();
+
fX=xref;
- fY=xx[0]; fZ=xx[1]; fC=xx[2]; fE=xx[3]; fT=xx[4];
+ fY=xx[0]; fZ=xx[1]; fE=xx[2]; fT=xx[3]; fC=xx[4];
+
+ SaveLocalConvConst();
fCyy=cc[0];
fCzy=cc[1]; fCzz=cc[2];
- fCcy=cc[3]; fCcz=cc[4]; fCcc=cc[5];
- fCey=cc[6]; fCez=cc[7]; fCec=cc[8]; fCee=cc[9];
- fCty=cc[10]; fCtz=cc[11]; fCtc=cc[12]; fCte=cc[13]; fCtt=cc[14];
+ fCey=cc[3]; fCez=cc[4]; fCee=cc[5];
+ fCty=cc[6]; fCtz=cc[7]; fCte=cc[8]; fCtt=cc[9];
+ fCcy=cc[10]; fCcz=cc[11]; fCce=cc[12]; fCct=cc[13]; fCcc=cc[14];
+
+ fIndex[0]=index;
+ SetNumberOfClusters(1);
+
+ fdEdx=0.;
+ fdEdxT=0.;
+ fDE=0.;
+ for (Int_t i=0;i<kNplane;i++){
+ for (Int_t j=0; j<kNslice; j++) {
+ fdEdxPlane[i][j] = 0;
+ }
+ fTimBinPlane[i] = -1;
+ }
+
+ fLhElectron = 0.0;
+ fNWrong = 0;
+ fNRotate = 0;
+ fStopped = 0;
+ fNCross =0;
+ fNLast =0;
+ fChi2Last=0;
+ fNExpected=0;
+ fNExpectedLast=0;
+ fNdedx=0;
+ Double_t q = TMath::Abs(c->GetQ());
+ Double_t s = fX*fC - fE, t=fT;
+ if(s*s < 1) q *= TMath::Sqrt((1-s*s)/(1+t*t));
+
+ fdQdl[0] = q;
+
+ // initialisation [SR, GSI 18.02.2003] (i startd for 1)
+ for(UInt_t i=1; i<kMAXCLUSTERSPERTRACK; i++) {
+ fdQdl[i] = 0;
+ fIndex[i] = 0;
+ fIndexBackup[i] = 0; //backup indexes MI
+ }
+ for (Int_t i=0;i<3;i++) { fBudget[i]=0;};
+
+ fBackupTrack = 0;
- fN=0;
- fIndex[fN++]=index;
}
//_____________________________________________________________________________
-AliTRDtrack::AliTRDtrack(const AliTRDtrack& t) {
+AliTRDtrack::AliTRDtrack(const AliTRDtrack& t) : AliKalmanTrack(t)
+{
//
// Copy constructor.
//
+
+ SetLabel(t.GetLabel());
+ fSeedLab=t.GetSeedLabel();
- fLab=t.fLab;
-
- fChi2=t.fChi2;
+ SetChi2(t.GetChi2());
fdEdx=t.fdEdx;
+ fdEdxT=t.fdEdxT;
+ fDE=t.fDE;
+ for (Int_t i=0;i<kNplane;i++){
+ for (Int_t j=0; j<kNslice; j++) {
+ fdEdxPlane[i][j] = t.fdEdxPlane[i][j];
+ }
+ fTimBinPlane[i] = t.fTimBinPlane[i];
+ fTracklets[i] = t.fTracklets[i];
+ }
+ fLhElectron = 0.0;
+ fNWrong = t.fNWrong;
+ fNRotate = t.fNRotate;
+ fStopped = t.fStopped;
+ fNCross = t.fNCross;
+ fNExpected = t.fNExpected;
+ fNExpectedLast = t.fNExpectedLast;
+ fNdedx = t.fNdedx;
+ fNLast = t.fNLast;
+ fChi2Last = t.fChi2Last;
+ fBackupTrack =0;
fAlpha=t.fAlpha;
fX=t.fX;
- fY=t.fY; fZ=t.fZ; fC=t.fC; fE=t.fE; fT=t.fT;
+
+ fY=t.fY; fZ=t.fZ; fE=t.fE; fT=t.fT; fC=t.fC;
fCyy=t.fCyy;
fCzy=t.fCzy; fCzz=t.fCzz;
- fCcy=t.fCcy; fCcz=t.fCcz; fCcc=t.fCcc;
- fCey=t.fCey; fCez=t.fCez; fCec=t.fCec; fCee=t.fCee;
- fCty=t.fCty; fCtz=t.fCtz; fCtc=t.fCtc; fCte=t.fCte; fCtt=t.fCtt;
+ fCey=t.fCey; fCez=t.fCez; fCee=t.fCee;
+ fCty=t.fCty; fCtz=t.fCtz; fCte=t.fCte; fCtt=t.fCtt;
+ fCcy=t.fCcy; fCcz=t.fCcz; fCce=t.fCce; fCct=t.fCct; fCcc=t.fCcc;
+
+ Int_t n=t.GetNumberOfClusters();
+ SetNumberOfClusters(n);
+ for (Int_t i=0; i<n; i++) {
+ fIndex[i]=t.fIndex[i];
+ fIndexBackup[i]=t.fIndex[i]; // MI - backup indexes
+ fdQdl[i]=t.fdQdl[i];
+ }
- fN=t.fN;
- for (Int_t i=0; i<fN; i++) fIndex[i]=t.fIndex[i];
-}
+ // initialisation (i starts from n) [SR, GSI, 18.02.2003]
+ for(UInt_t i=n; i<kMAXCLUSTERSPERTRACK; i++) {
+ fdQdl[i] = 0;
+ fIndex[i] = 0;
+ fIndexBackup[i] = 0; //MI backup indexes
+ }
+ for (Int_t i=0;i<6;i++){
+ fTracklets[i] = t.fTracklets[i];
+ }
+ for (Int_t i=0;i<3;i++) { fBudget[i]=t.fBudget[i];};
+}
//_____________________________________________________________________________
-void AliTRDtrack::GetCovariance(Double_t cc[15]) const {
+AliTRDtrack::AliTRDtrack(const AliKalmanTrack& t, Double_t alpha)
+ :AliKalmanTrack(t)
+{
+ //
+ // Constructor from AliTPCtrack or AliITStrack .
+ //
+
+ SetLabel(t.GetLabel());
+ SetChi2(0.);
+ SetMass(t.GetMass());
+ SetNumberOfClusters(0);
+
+ fdEdx=t.GetPIDsignal();
+ fDE = 0;
+ for (Int_t i=0;i<kNplane;i++){
+ for (Int_t j=0;j<kNslice;j++){
+ fdEdxPlane[i][j] = 0.0;
+ }
+ fTimBinPlane[i] = -1;
+ }
+
+ fLhElectron = 0.0;
+ fNWrong = 0;
+ fNRotate = 0;
+ fStopped = 0;
+ fNExpected=0;
+ fNExpectedLast=0;
+ fNdedx =0;
+ fNCross =0;
+ fNLast =0;
+ fChi2Last =0;
+ fBackupTrack =0;
+
+ fAlpha = alpha;
+ if (fAlpha < -TMath::Pi()) fAlpha += 2*TMath::Pi();
+ else if (fAlpha >= TMath::Pi()) fAlpha -= 2*TMath::Pi();
+
+ Double_t x, p[5]; t.GetExternalParameters(x,p);
+
+ fX=x;
+
+ fY=p[0];
+ fZ=p[1];
+ fT=p[3]; x=GetLocalConvConst();
+ fC=p[4]/x;
+ fE=fC*fX - p[2];
+
+ //Conversion of the covariance matrix
+ Double_t c[15]; t.GetExternalCovariance(c);
+
+ c[10]/=x; c[11]/=x; c[12]/=x; c[13]/=x; c[14]/=x*x;
+
+ Double_t c22=fX*fX*c[14] - 2*fX*c[12] + c[5];
+ Double_t c32=fX*c[13] - c[8];
+ Double_t c20=fX*c[10] - c[3], c21=fX*c[11] - c[4], c42=fX*c[14] - c[12];
+
+ fCyy=c[0 ];
+ fCzy=c[1 ]; fCzz=c[2 ];
+ fCey=c20; fCez=c21; fCee=c22;
+ fCty=c[6 ]; fCtz=c[7 ]; fCte=c32; fCtt=c[9 ];
+ fCcy=c[10]; fCcz=c[11]; fCce=c42; fCct=c[13]; fCcc=c[14];
+
+ // Initialization [SR, GSI, 18.02.2003]
+ for(UInt_t i=0; i<kMAXCLUSTERSPERTRACK; i++) {
+ fdQdl[i] = 0;
+ fIndex[i] = 0;
+ fIndexBackup[i] = 0; // MI backup indexes
+ }
+
+ for (Int_t i=0;i<3;i++) { fBudget[i]=0;};
+}
+
+//_____________________________________________________________________________
+AliTRDtrack::AliTRDtrack(const AliESDtrack& t)
+ :AliKalmanTrack()
+{
+ //
+ // Constructor from AliESDtrack
+ //
+
+ SetLabel(t.GetLabel());
+ SetChi2(0.);
+ SetMass(t.GetMass());
+ SetNumberOfClusters(t.GetTRDclusters(fIndex));
+ Int_t ncl = t.GetTRDclusters(fIndexBackup);
+ for (UInt_t i=ncl;i<kMAXCLUSTERSPERTRACK;i++) {
+ fIndexBackup[i]=0;
+ fIndex[i] = 0; //MI store indexes
+ }
+ fdEdx=t.GetTRDsignal();
+ fDE =0;
+ for (Int_t i=0;i<kNplane;i++){
+ for (Int_t j=0;j<kNslice;j++){
+ fdEdxPlane[i][j] = t.GetTRDsignals(i,j);
+ }
+ fTimBinPlane[i] = t.GetTRDTimBin(i);
+ }
+
+ fLhElectron = 0.0;
+ fNWrong = 0;
+ fStopped = 0;
+ fNRotate = 0;
+ fNExpected =0;
+ fNExpectedLast=0;
+ fNdedx = 0;
+ fNCross =0;
+ fNLast =0;
+ fChi2Last =0;
+ fBackupTrack =0;
+
+ fAlpha = t.GetAlpha();
+ if (fAlpha < -TMath::Pi()) fAlpha += 2*TMath::Pi();
+ else if (fAlpha >= TMath::Pi()) fAlpha -= 2*TMath::Pi();
+
+ Double_t x, p[5]; t.GetExternalParameters(x,p);
+ //Conversion of the covariance matrix
+ Double_t c[15]; t.GetExternalCovariance(c);
+ if (t.GetStatus()&AliESDtrack::kTRDbackup){
+ t.GetOuterExternalParameters(fAlpha,x,p);
+ t.GetOuterExternalCovariance(c);
+ if (fAlpha < -TMath::Pi()) fAlpha += 2*TMath::Pi();
+ else if (fAlpha >= TMath::Pi()) fAlpha -= 2*TMath::Pi();
+ }
+
+ fX=x;
+
+ fY=p[0];
+ fZ=p[1]; SaveLocalConvConst();
+ fT=p[3]; x=GetLocalConvConst();
+ fC=p[4]/x;
+ fE=fC*fX - p[2];
+
+
+ c[10]/=x; c[11]/=x; c[12]/=x; c[13]/=x; c[14]/=x*x;
+
+ Double_t c22=fX*fX*c[14] - 2*fX*c[12] + c[5];
+ Double_t c32=fX*c[13] - c[8];
+ Double_t c20=fX*c[10] - c[3], c21=fX*c[11] - c[4], c42=fX*c[14] - c[12];
+
+ fCyy=c[0 ];
+ fCzy=c[1 ]; fCzz=c[2 ];
+ fCey=c20; fCez=c21; fCee=c22;
+ fCty=c[6 ]; fCtz=c[7 ]; fCte=c32; fCtt=c[9 ];
+ fCcy=c[10]; fCcz=c[11]; fCce=c42; fCct=c[13]; fCcc=c[14];
+
+ // Initialization [SR, GSI, 18.02.2003]
+ for(UInt_t i=0; i<kMAXCLUSTERSPERTRACK; i++) {
+ fdQdl[i] = 0;
+ // fIndex[i] = 0; //MI store indexes
+ }
+
+ for (Int_t i=0;i<3;i++) { fBudget[i]=0;};
+ if ((t.GetStatus()&AliESDtrack::kTIME) == 0) return;
+ StartTimeIntegral();
+ Double_t times[10]; t.GetIntegratedTimes(times); SetIntegratedTimes(times);
+ SetIntegratedLength(t.GetIntegratedLength());
+
+}
+
+//____________________________________________________________________________
+AliTRDtrack::~AliTRDtrack()
+{
+ //
+ // Destructor
+ //
+
+ if (fBackupTrack) delete fBackupTrack;
+ fBackupTrack = 0;
+
+}
+
+//____________________________________________________________________________
+AliTRDtrack &AliTRDtrack::operator=(const AliTRDtrack &t)
+{
+ //
+ // Assignment operator
+ //
+
+ fLhElectron = 0.0;
+ fNWrong = 0;
+ fStopped = 0;
+ fNRotate = 0;
+ fNExpected =0;
+ fNExpectedLast=0;
+ fNdedx = 0;
+ fNCross =0;
+ fNLast =0;
+ fChi2Last =0;
+ fBackupTrack =0;
+
+ fAlpha = t.GetAlpha();
+ if (fAlpha < -TMath::Pi()) fAlpha += 2*TMath::Pi();
+ else if (fAlpha >= TMath::Pi()) fAlpha -= 2*TMath::Pi();
+
+ return *this;
+
+}
+
+//____________________________________________________________________________
+Float_t AliTRDtrack::StatusForTOF()
+{
+ //
+ // Defines the status of the TOF extrapolation
+ //
+
+ Float_t res = (0.2 + 0.8*(fN/(fNExpected+5.)))*(0.4+0.6*fTracklets[5].GetN()/20.);
+ res *= (0.25+0.8*40./(40.+fBudget[2]));
+ return res;
+
+ Int_t status=0;
+ if (GetNumberOfClusters()<20) return 0; //
+ if (fN>110&&fChi2/(Float_t(fN))<3) return 3; //gold
+ if (fNLast>30&&fChi2Last/(Float_t(fNLast))<3) return 3; //gold
+ if (fNLast>20&&fChi2Last/(Float_t(fNLast))<2) return 3; //gold
+ if (fNLast/(fNExpectedLast+3.)>0.8 && fChi2Last/Float_t(fNLast)<5&&fNLast>20) return 2; //silber
+ if (fNLast>5 &&((fNLast+1.)/(fNExpectedLast+1.))>0.8&&fChi2Last/(fNLast-5.)<6) return 1;
+
+ return status;
+
+}
+
+//_____________________________________________________________________________
+void AliTRDtrack::GetExternalCovariance(Double_t cc[15]) const
+{
+ //
+ // This function returns external representation of the covriance matrix.
+ //
+
+ Double_t a=GetLocalConvConst();
+
+ Double_t c22=fX*fX*fCcc-2*fX*fCce+fCee;
+ Double_t c32=fX*fCct-fCte;
+ Double_t c20=fX*fCcy-fCey, c21=fX*fCcz-fCez, c42=fX*fCcc-fCce;
+
+ cc[0 ]=fCyy;
+ cc[1 ]=fCzy; cc[2 ]=fCzz;
+ cc[3 ]=c20; cc[4 ]=c21; cc[5 ]=c22;
+ cc[6 ]=fCty; cc[7 ]=fCtz; cc[8 ]=c32; cc[9 ]=fCtt;
+ cc[10]=fCcy*a; cc[11]=fCcz*a; cc[12]=c42*a; cc[13]=fCct*a; cc[14]=fCcc*a*a;
+
+}
+
+//_____________________________________________________________________________
+void AliTRDtrack::GetCovariance(Double_t cc[15]) const
+{
+ //
+ // Returns the track covariance matrix
+ //
+
cc[0]=fCyy;
cc[1]=fCzy; cc[2]=fCzz;
- cc[3]=fCcy; cc[4]=fCcz; cc[5]=fCcc;
- cc[6]=fCey; cc[7]=fCez; cc[8]=fCec; cc[9]=fCee;
- cc[10]=fCty; cc[11]=fCtz; cc[12]=fCtc; cc[13]=fCte; cc[14]=fCtt;
+ cc[3]=fCey; cc[4]=fCez; cc[5]=fCee;
+ cc[6]=fCcy; cc[7]=fCcz; cc[8]=fCce; cc[9]=fCcc;
+ cc[10]=fCty; cc[11]=fCtz; cc[12]=fCte; cc[13]=fCct; cc[14]=fCtt;
+
}
//_____________________________________________________________________________
-Int_t AliTRDtrack::Compare(TObject *o) {
-
-// Compares tracks according to their Y2
+Int_t AliTRDtrack::Compare(const TObject *o) const
+{
+ //
+ // Compares tracks according to their Y2 or curvature
+ //
AliTRDtrack *t=(AliTRDtrack*)o;
// Double_t co=t->GetSigmaY2();
Double_t co=TMath::Abs(t->GetC());
Double_t c =TMath::Abs(GetC());
- if (c>co) return 1;
+ if (c>co) return 1;
else if (c<co) return -1;
return 0;
+
}
//_____________________________________________________________________________
-Int_t AliTRDtrack::PropagateTo(Double_t xk,Double_t x0,Double_t rho,Double_t pm)
+void AliTRDtrack::CookdEdx(Double_t low, Double_t up) {
+ //-----------------------------------------------------------------
+ // Calculates dE/dX within the "low" and "up" cuts.
+ //-----------------------------------------------------------------
+
+ Int_t i;
+ //Int_t nc=GetNumberOfClusters();
+ Int_t nc=fNdedx;
+ if (nc<10) {
+ SetdEdx(0);
+ return;
+ }
+
+ Float_t sorted[kMAXCLUSTERSPERTRACK];
+ for (i=0; i < nc; i++) {
+ sorted[i]=fdQdl[i];
+ }
+ Int_t nl=Int_t(low*nc), nu=Int_t(up*nc);
+ Float_t dedx=0;
+ //for (i=nl; i<=nu; i++) dedx += sorted[i];
+ //dedx /= (nu-nl+1);
+ for (i=0; i<nc; i++) dedx += sorted[i]; // ADDED by PS
+ if((nu-nl)) dedx /= (nu-nl); // ADDED by PS
+
+ //SetdEdx(dedx);
+ //
+ // now real truncated mean
+ for (i=0; i < nc; i++) {
+ sorted[i]=TMath::Abs(fdQdl[i]);
+ }
+ Int_t * index = new Int_t[nc];
+ TMath::Sort(nc, sorted, index,kFALSE);
+ dedx=0;
+ for (i=nl; i<=nu; i++) dedx += sorted[index[i]];
+ dedx /= (nu-nl+1);
+ fdEdxT = dedx;
+ delete [] index;
+ SetdEdx(dedx);
+
+}
+
+//_____________________________________________________________________________
+Int_t AliTRDtrack::PropagateTo(Double_t xk,Double_t x0,Double_t rho)
{
// Propagates a track of particle with mass=pm to a reference plane
// defined by x=xk through media of density=rho and radiationLength=x0
- if (TMath::Abs(fC*xk - fE) >= 0.99999) {
- if (fN>4) cerr<<fN<<" AliTRDtrack warning: Propagation failed !\n";
+ if (xk == fX) return 1;
+
+ if (TMath::Abs(fC*xk - fE) >= 0.90000) {
+ // Int_t n=GetNumberOfClusters();
+ //if (n>4) cerr << n << " AliTRDtrack: Propagation failed, \tPt = "
+ // << GetPt() << "\t" << GetLabel() << "\t" << GetMass() << endl;
return 0;
}
+ Double_t lcc=GetLocalConvConst();
+
+ // track Length measurement [SR, GSI, 17.02.2003]
+ Double_t oldX = fX, oldY = fY, oldZ = fZ;
Double_t x1=fX, x2=x1+(xk-x1), dx=x2-x1, y1=fY, z1=fZ;
- Double_t c1=fC*x1 - fE, r1=sqrt(1.- c1*c1);
- Double_t c2=fC*x2 - fE, r2=sqrt(1.- c2*c2);
+ Double_t c1=fC*x1 - fE;
+ if((c1*c1) > 1) return 0;
+ Double_t r1=sqrt(1.- c1*c1);
+ Double_t c2=fC*x2 - fE;
+ if((c2*c2) > 1) return 0;
+ Double_t r2=sqrt(1.- c2*c2);
fY += dx*(c1+c2)/(r1+r2);
fZ += dx*(c1+c2)/(c1*r2 + c2*r1)*fT;
//f = F - 1
Double_t rr=r1+r2, cc=c1+c2, xx=x1+x2;
- Double_t f02= dx*(rr*xx + cc*(c1*x1/r1+c2*x2/r2))/(rr*rr);
- Double_t f03=-dx*(2*rr + cc*(c1/r1 + c2/r2))/(rr*rr);
+ Double_t f02=-dx*(2*rr + cc*(c1/r1 + c2/r2))/(rr*rr);
+ Double_t f04= dx*(rr*xx + cc*(c1*x1/r1+c2*x2/r2))/(rr*rr);
Double_t cr=c1*r2+c2*r1;
- Double_t f12= dx*fT*(cr*xx-cc*(r1*x2-c2*c1*x1/r1+r2*x1-c1*c2*x2/r2))/(cr*cr);
- Double_t f13=-dx*fT*(2*cr + cc*(c2*c1/r1-r1 + c1*c2/r2-r2))/(cr*cr);
- Double_t f14= dx*cc/cr;
+ Double_t f12=-dx*fT*(2*cr + cc*(c2*c1/r1-r1 + c1*c2/r2-r2))/(cr*cr);
+ Double_t f13= dx*cc/cr;
+ Double_t f14=dx*fT*(cr*xx-cc*(r1*x2-c2*c1*x1/r1+r2*x1-c1*c2*x2/r2))/(cr*cr);
//b = C*ft
- Double_t b00=f02*fCcy + f03*fCey, b01=f12*fCcy + f13*fCey + f14*fCty;
- Double_t b10=f02*fCcz + f03*fCez, b11=f12*fCcz + f13*fCez + f14*fCtz;
- Double_t b20=f02*fCcc + f03*fCec, b21=f12*fCcc + f13*fCec + f14*fCtc;
- Double_t b30=f02*fCec + f03*fCee, b31=f12*fCec + f13*fCee + f14*fCte;
- Double_t b40=f02*fCtc + f03*fCte, b41=f12*fCtc + f13*fCte + f14*fCtt;
+ Double_t b00=f02*fCey + f04*fCcy, b01=f12*fCey + f14*fCcy + f13*fCty;
+ Double_t b10=f02*fCez + f04*fCcz, b11=f12*fCez + f14*fCcz + f13*fCtz;
+ Double_t b20=f02*fCee + f04*fCce, b21=f12*fCee + f14*fCce + f13*fCte;
+ Double_t b30=f02*fCte + f04*fCct, b31=f12*fCte + f14*fCct + f13*fCtt;
+ Double_t b40=f02*fCce + f04*fCcc, b41=f12*fCce + f14*fCcc + f13*fCct;
//a = f*b = f*C*ft
- Double_t a00=f02*b20+f03*b30,a01=f02*b21+f03*b31,a11=f12*b21+f13*b31+f14*b41;
+ Double_t a00=f02*b20+f04*b40,a01=f02*b21+f04*b41,a11=f12*b21+f14*b41+f13*b31;
//F*C*Ft = C + (a + b + bt)
fCyy += a00 + 2*b00;
fCzy += a01 + b01 + b10;
- fCcy += b20;
- fCey += b30;
- fCty += b40;
+ fCey += b20;
+ fCty += b30;
+ fCcy += b40;
fCzz += a11 + 2*b11;
- fCcz += b21;
- fCez += b31;
- fCtz += b41;
+ fCez += b21;
+ fCtz += b31;
+ fCcz += b41;
- fX=x2;
+ fX=x2;
+ //Change of the magnetic field *************
+ SaveLocalConvConst();
+ cc=fC;
+ fC*=lcc/GetLocalConvConst();
+ fE+=fX*(fC-cc);
//Multiple scattering ******************
-
Double_t d=sqrt((x1-fX)*(x1-fX)+(y1-fY)*(y1-fY)+(z1-fZ)*(z1-fZ));
- Double_t p2=GetPt()*GetPt()*(1.+fT*fT);
- Double_t beta2=p2/(p2 + pm*pm);
+ Double_t p2=(1.+ GetTgl()*GetTgl())/(Get1Pt()*Get1Pt());
+ Double_t beta2=p2/(p2 + GetMass()*GetMass());
+ Double_t theta2=14.1*14.1/(beta2*p2*1e6)*d/x0*rho;
Double_t ey=fC*fX - fE, ez=fT;
Double_t xz=fC*ez, zz1=ez*ez+1, xy=fE+ey;
-
- Double_t theta2=14.1*14.1/(beta2*p2*1e6)*d/x0*rho;
- fCcc += xz*xz*theta2;
- fCec += xz*ez*xy*theta2;
- fCtc += xz*zz1*theta2;
+
fCee += (2*ey*ez*ez*fE+1-ey*ey+ez*ez+fE*fE*ez*ez)*theta2;
fCte += ez*zz1*xy*theta2;
fCtt += zz1*zz1*theta2;
-
-
+ fCce += xz*ez*xy*theta2;
+ fCct += xz*zz1*theta2;
+ fCcc += xz*xz*theta2;
+ /*
+ Double_t dc22 = (1-ey*ey+xz*xz*fX*fX)*theta2;
+ Double_t dc32 = (xz*fX*zz1)*theta2;
+ Double_t dc33 = (zz1*zz1)*theta2;
+ Double_t dc42 = (xz*fX*xz)*theta2;
+ Double_t dc43 = (zz1*xz)*theta2;
+ Double_t dc44 = (xz*xz)*theta2;
+ fCee += dc22;
+ fCte += dc32;
+ fCtt += dc33;
+ fCce += dc42;
+ fCct += dc43;
+ fCcc += dc44;
+ */
//Energy losses************************
+ if((5940*beta2/(1-beta2+1e-10) - beta2) < 0) return 0;
- Double_t dE=0.153e-3/beta2*(log(5940*beta2/(1-beta2)) - beta2)*d*rho;
+ Double_t dE=0.153e-3/beta2*(log(5940*beta2/(1-beta2+1e-10)) - beta2)*d*rho;
+ Float_t budget = d* rho;
+ fBudget[0] +=budget;
+ //
+ // suspicious part - think about it ?
+ Double_t kinE = TMath::Sqrt(p2);
+ if (dE>0.8*kinE) dE = 0.8*kinE; //
+ if (dE<0) dE = 0.0; // not valid region for Bethe bloch
+ //
+ //
+ fDE+=dE;
if (x1 < x2) dE=-dE;
- fC*=(1.- sqrt(p2+pm*pm)/p2*dE);
- //fE*=(1.- sqrt(p2+pm*pm)/p2*dE);
+ cc=fC;
+ fC*=(1.- sqrt(p2+GetMass()*GetMass())/p2*dE);
+ fE+=fX*(fC-cc);
+ // Double_t sigmade = 0.1*dE*TMath::Sqrt(TMath::Sqrt(1+fT*fT)*90./(d+0.0001)); // 20 percent fluctuation - normalized to some length
+ Double_t sigmade = 0.07*TMath::Sqrt(TMath::Abs(dE)); // energy loss fluctuation
+ Double_t sigmac2 = sigmade*sigmade*fC*fC*(p2+GetMass()*GetMass())/(p2*p2);
+ fCcc += sigmac2;
+ fCee += fX*fX*sigmac2;
+
+ // track time measurement [SR, GSI 17.02.2002]
+ if (x1 < x2)
+ if (IsStartedTimeIntegral()) {
+ Double_t l2 = TMath::Sqrt((fX-oldX)*(fX-oldX) + (fY-oldY)*(fY-oldY) + (fZ-oldZ)*(fZ-oldZ));
+ if (TMath::Abs(l2*fC)>0.0001){
+ // make correction for curvature if neccesary
+ l2 = 0.5*TMath::Sqrt((fX-oldX)*(fX-oldX) + (fY-oldY)*(fY-oldY));
+ l2 = 2*TMath::ASin(l2*fC)/fC;
+ l2 = TMath::Sqrt(l2*l2+(fZ-oldZ)*(fZ-oldZ));
+ }
+ AddTimeStep(l2);
+ }
- return 1;
+ return 1;
}
-
//_____________________________________________________________________________
-void AliTRDtrack::PropagateToVertex(Double_t x0,Double_t rho,Double_t pm)
+Int_t AliTRDtrack::Update(const AliTRDcluster *c, Double_t chisq, UInt_t index
+ , Double_t h01)
{
- // This function propagates tracks to the "vertex".
+ // Assignes found cluster to the track and updates track information
- Double_t c=fC*fX - fE;
- Double_t tgf=-fE/(fC*fY + sqrt(1-c*c));
- Double_t snf=tgf/sqrt(1.+ tgf*tgf);
- Double_t xv=(fE+snf)/fC;
- PropagateTo(xv,x0,rho,pm);
-}
+ Bool_t fNoTilt = kTRUE;
+ if(TMath::Abs(h01) > 0.003) fNoTilt = kFALSE;
+ // add angular effect to the error contribution - MI
+ Float_t tangent2 = (fC*fX-fE)*(fC*fX-fE);
+ if (tangent2 < 0.90000){
+ tangent2 = tangent2/(1.-tangent2);
+ }
+ Float_t errang = tangent2*0.04; //
+ Float_t padlength = TMath::Sqrt(c->GetSigmaZ2()*12.);
+ Double_t r00=c->GetSigmaY2() +errang, r01=0., r11=c->GetSigmaZ2()*100.;
+ r00+=fCyy; r01+=fCzy; r11+=fCzz;
+ Double_t det=r00*r11 - r01*r01;
+ Double_t tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det;
+
+ Double_t k00=fCyy*r00+fCzy*r01, k01=fCyy*r01+fCzy*r11;
+ Double_t k10=fCzy*r00+fCzz*r01, k11=fCzy*r01+fCzz*r11;
+ Double_t k20=fCey*r00+fCez*r01, k21=fCey*r01+fCez*r11;
+ Double_t k30=fCty*r00+fCtz*r01, k31=fCty*r01+fCtz*r11;
+ Double_t k40=fCcy*r00+fCcz*r01, k41=fCcy*r01+fCcz*r11;
+
+ Double_t dy=c->GetY() - fY, dz=c->GetZ() - fZ;
+ Double_t cur=fC + k40*dy + k41*dz, eta=fE + k20*dy + k21*dz;
+
+
+ if(fNoTilt) {
+ if (TMath::Abs(cur*fX-eta) >= 0.90000) {
+ // Int_t n=GetNumberOfClusters();
+ //if (n>4) cerr<<n<<" AliTRDtrack warning: Filtering failed !\n";
+ return 0;
+ }
+ fY += k00*dy + k01*dz;
+ fZ += k10*dy + k11*dz;
+ fE = eta;
+ //fT += k30*dy + k31*dz;
+ fC = cur;
+ }
+ else {
+ Double_t xuFactor = 100.; // empirical factor set by C.Xu
+ // in the first tilt version
+ dy=c->GetY() - fY; dz=c->GetZ() - fZ;
+ dy=dy+h01*dz;
+ Float_t add=0;
+ if (TMath::Abs(dz)>padlength/2.){
+ Float_t dy2 = c->GetY() - fY;
+ Float_t sign = (dz>0) ? -1.: 1.;
+ dy2+=h01*sign*padlength/2.;
+ dy = dy2;
+ add = 0;
+ }
+
+
+
+ r00=c->GetSigmaY2()+errang+add, r01=0., r11=c->GetSigmaZ2()*xuFactor;
+ r00+=(fCyy+2.0*h01*fCzy+h01*h01*fCzz);
+ r01+=(fCzy+h01*fCzz);
+ r11+=fCzz;
+
+ det=r00*r11 - r01*r01;
+ tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det;
+
+ k00=fCyy*r00+fCzy*(r01+h01*r00),k01=fCyy*r01+fCzy*(r11+h01*r01);
+ k10=fCzy*r00+fCzz*(r01+h01*r00),k11=fCzy*r01+fCzz*(r11+h01*r01);
+ k20=fCey*r00+fCez*(r01+h01*r00),k21=fCey*r01+fCez*(r11+h01*r01);
+ k30=fCty*r00+fCtz*(r01+h01*r00),k31=fCty*r01+fCtz*(r11+h01*r01);
+ k40=fCcy*r00+fCcz*(r01+h01*r00),k41=fCcy*r01+fCcz*(r11+h01*r01);
+
+
+ cur=fC + k40*dy + k41*dz; eta=fE + k20*dy + k21*dz;
+ if (TMath::Abs(cur*fX-eta) >= 0.90000) {
+ // Int_t n=GetNumberOfClusters();
+ //if (n>4) cerr<<n<<" AliTRDtrack warning: Filtering failed !\n";
+ return 0;
+ }
+ fY += k00*dy + k01*dz;
+ fZ += k10*dy + k11*dz;
+ fE = eta;
+ fT += k30*dy + k31*dz;
+ fC = cur;
+
+ k01+=h01*k00;
+ k11+=h01*k10;
+ k21+=h01*k20;
+ k31+=h01*k30;
+ k41+=h01*k40;
+
+ }
+ Double_t c01=fCzy, c02=fCey, c03=fCty, c04=fCcy;
+ Double_t c12=fCez, c13=fCtz, c14=fCcz;
+
+
+ fCyy-=k00*fCyy+k01*fCzy; fCzy-=k00*c01+k01*fCzz;
+ fCey-=k00*c02+k01*c12; fCty-=k00*c03+k01*c13;
+ fCcy-=k00*c04+k01*c14;
+
+ fCzz-=k10*c01+k11*fCzz;
+ fCez-=k10*c02+k11*c12; fCtz-=k10*c03+k11*c13;
+ fCcz-=k10*c04+k11*c14;
+
+ fCee-=k20*c02+k21*c12; fCte-=k20*c03+k21*c13;
+ fCce-=k20*c04+k21*c14;
+
+ fCtt-=k30*c03+k31*c13;
+ fCct-=k40*c03+k41*c13;
+ //fCct-=k30*c04+k31*c14; // symmetric formula MI
+
+ fCcc-=k40*c04+k41*c14;
+
+ Int_t n=GetNumberOfClusters();
+ fIndex[n]=index;
+ SetNumberOfClusters(n+1);
+
+ SetChi2(GetChi2()+chisq);
+ // cerr<<"in update: fIndex["<<fN<<"] = "<<index<<endl;
+
+ return 1;
+
+}
//_____________________________________________________________________________
-void AliTRDtrack::Update(const AliTRDcluster *c, Double_t chisq, UInt_t index)
+Int_t AliTRDtrack::UpdateMI(const AliTRDcluster *c, Double_t chisq, UInt_t index, Double_t h01,
+ Int_t /*plane*/)
{
// Assignes found cluster to the track and updates track information
- Double_t r00=c->GetSigmaY2(), r01=0., r11=c->GetSigmaZ2()*12;
+ Bool_t fNoTilt = kTRUE;
+ if(TMath::Abs(h01) > 0.003) fNoTilt = kFALSE;
+ // add angular effect to the error contribution and make correction - MI
+ //AliTRDclusterCorrection *corrector = AliTRDclusterCorrection::GetCorrection();
+ //
+ Double_t tangent2 = (fC*fX-fE)*(fC*fX-fE);
+ if (tangent2 < 0.90000){
+ tangent2 = tangent2/(1.-tangent2);
+ }
+ Double_t tangent = TMath::Sqrt(tangent2);
+ if ((fC*fX-fE)<0) tangent*=-1;
+ // Double_t correction = 0*plane;
+ Double_t errang = tangent2*0.04; //
+ Double_t errsys =0.025*0.025*20; //systematic error part
+ Float_t extend =1;
+ if (c->GetNPads()==4) extend=2;
+ //if (c->GetNPads()==5) extend=3;
+ //if (c->GetNPads()==6) extend=3;
+ //if (c->GetQ()<15) return 1;
+
+ /*
+ if (corrector!=0){
+ //if (0){
+ correction = corrector->GetCorrection(plane,c->GetLocalTimeBin(),tangent);
+ if (TMath::Abs(correction)>0){
+ //if we have info
+ errang = corrector->GetSigma(plane,c->GetLocalTimeBin(),tangent);
+ errang *= errang;
+ errang += tangent2*0.04;
+ }
+ }
+ */
+ //
+ // Double_t padlength = TMath::Sqrt(c->GetSigmaZ2()*12.);
+
+ Double_t r00=(c->GetSigmaY2() +errang+errsys)*extend, r01=0., r11=c->GetSigmaZ2()*10000.;
r00+=fCyy; r01+=fCzy; r11+=fCzz;
Double_t det=r00*r11 - r01*r01;
Double_t tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det;
Double_t k00=fCyy*r00+fCzy*r01, k01=fCyy*r01+fCzy*r11;
Double_t k10=fCzy*r00+fCzz*r01, k11=fCzy*r01+fCzz*r11;
- Double_t k20=fCcy*r00+fCcz*r01, k21=fCcy*r01+fCcz*r11;
- Double_t k30=fCey*r00+fCez*r01, k31=fCey*r01+fCez*r11;
- Double_t k40=fCty*r00+fCtz*r01, k41=fCty*r01+fCtz*r11;
+ Double_t k20=fCey*r00+fCez*r01, k21=fCey*r01+fCez*r11;
+ Double_t k30=fCty*r00+fCtz*r01, k31=fCty*r01+fCtz*r11;
+ Double_t k40=fCcy*r00+fCcz*r01, k41=fCcy*r01+fCcz*r11;
Double_t dy=c->GetY() - fY, dz=c->GetZ() - fZ;
- Double_t cur=fC + k20*dy + k21*dz, eta=fE + k30*dy + k31*dz;
- if (TMath::Abs(cur*fX-eta) >= 0.99999) {
- if (fN>4) cerr<<fN<<" AliTRDtrack warning: Filtering failed !\n";
- return;
+ Double_t cur=fC + k40*dy + k41*dz, eta=fE + k20*dy + k21*dz;
+
+
+ if(fNoTilt) {
+ if (TMath::Abs(cur*fX-eta) >= 0.90000) {
+ // Int_t n=GetNumberOfClusters();
+ //if (n>4) cerr<<n<<" AliTRDtrack warning: Filtering failed !\n";
+ return 0;
+ }
+ fY += k00*dy + k01*dz;
+ fZ += k10*dy + k11*dz;
+ fE = eta;
+ //fT += k30*dy + k31*dz;
+ fC = cur;
}
+ else {
+ Double_t padlength = TMath::Sqrt(c->GetSigmaZ2()*12);
+
+ Double_t xuFactor = 1000.; // empirical factor set by C.Xu
+ // in the first tilt version
+ dy=c->GetY() - fY; dz=c->GetZ() - fZ;
+ //dy=dy+h01*dz+correction;
+
+ Double_t tiltdz = dz;
+ if (TMath::Abs(tiltdz)>padlength/2.) {
+ tiltdz = TMath::Sign(padlength/2,dz);
+ }
+ // dy=dy+h01*dz;
+ dy=dy+h01*tiltdz;
+
+ Double_t add=0;
+ if (TMath::Abs(dz)>padlength/2.){
+ //Double_t dy2 = c->GetY() - fY;
+ //Double_t sign = (dz>0) ? -1.: 1.;
+ //dy2-=h01*sign*padlength/2.;
+ //dy = dy2;
+ add =1;
+ }
+ Double_t s00 = (c->GetSigmaY2()+errang)*extend+errsys+add; // error pad
+ Double_t s11 = c->GetSigmaZ2()*xuFactor; // error pad-row
+ //
+ r00 = fCyy + 2*fCzy*h01 + fCzz*h01*h01+s00;
+ r01 = fCzy + fCzz*h01;
+ r11 = fCzz + s11;
+ det = r00*r11 - r01*r01;
+ // inverse matrix
+ tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det;
+
+ // K matrix
+ k00=fCyy*r00+fCzy*(r01+h01*r00),k01=fCyy*r01+fCzy*(r11+h01*r01);
+ k10=fCzy*r00+fCzz*(r01+h01*r00),k11=fCzy*r01+fCzz*(r11+h01*r01);
+ k20=fCey*r00+fCez*(r01+h01*r00),k21=fCey*r01+fCez*(r11+h01*r01);
+ k30=fCty*r00+fCtz*(r01+h01*r00),k31=fCty*r01+fCtz*(r11+h01*r01);
+ k40=fCcy*r00+fCcz*(r01+h01*r00),k41=fCcy*r01+fCcz*(r11+h01*r01);
+ //
+ //Update measurement
+ cur=fC + k40*dy + k41*dz; eta=fE + k20*dy + k21*dz;
+ if (TMath::Abs(cur*fX-eta) >= 0.90000) {
+ //Int_t n=GetNumberOfClusters();
+ // if (n>4) cerr<<n<<" AliTRDtrack warning: Filtering failed !\n";
+ return 0;
+ }
+ fY += k00*dy + k01*dz;
+ fZ += k10*dy + k11*dz;
+ fE = eta;
+ fT += k30*dy + k31*dz;
+ fC = cur;
+
+ k01+=h01*k00;
+ k11+=h01*k10;
+ k21+=h01*k20;
+ k31+=h01*k30;
+ k41+=h01*k40;
+
+ }
+ //Update covariance
+ //
+ //
+ Double_t oldyy = fCyy, oldzz = fCzz; //, oldee=fCee, oldcc =fCcc;
+ Double_t oldzy = fCzy, oldey = fCey, oldty=fCty, oldcy =fCcy;
+ Double_t oldez = fCez, oldtz = fCtz, oldcz=fCcz;
+ //Double_t oldte = fCte, oldce = fCce;
+ //Double_t oldct = fCct;
+
+ fCyy-=k00*oldyy+k01*oldzy;
+ fCzy-=k10*oldyy+k11*oldzy;
+ fCey-=k20*oldyy+k21*oldzy;
+ fCty-=k30*oldyy+k31*oldzy;
+ fCcy-=k40*oldyy+k41*oldzy;
+ //
+ fCzz-=k10*oldzy+k11*oldzz;
+ fCez-=k20*oldzy+k21*oldzz;
+ fCtz-=k30*oldzy+k31*oldzz;
+ fCcz-=k40*oldzy+k41*oldzz;
+ //
+ fCee-=k20*oldey+k21*oldez;
+ fCte-=k30*oldey+k31*oldez;
+ fCce-=k40*oldey+k41*oldez;
+ //
+ fCtt-=k30*oldty+k31*oldtz;
+ fCct-=k40*oldty+k41*oldtz;
+ //
+ fCcc-=k40*oldcy+k41*oldcz;
+ //
- fY += k00*dy + k01*dz;
- fZ += k10*dy + k11*dz;
- fC = cur;
- fE = eta;
- fT += k40*dy + k41*dz;
+ Int_t n=GetNumberOfClusters();
+ fIndex[n]=index;
+ SetNumberOfClusters(n+1);
- Double_t c01=fCzy, c02=fCcy, c03=fCey, c04=fCty;
- Double_t c12=fCcz, c13=fCez, c14=fCtz;
+ SetChi2(GetChi2()+chisq);
+ // cerr<<"in update: fIndex["<<fN<<"] = "<<index<<endl;
- fCyy-=k00*fCyy+k01*fCzy; fCzy-=k00*c01+k01*fCzz;
- fCcy-=k00*c02+k01*c12; fCey-=k00*c03+k01*c13;
- fCty-=k00*c04+k01*c14;
+ return 1;
- fCzz-=k10*c01+k11*fCzz;
- fCcz-=k10*c02+k11*c12; fCez-=k10*c03+k11*c13;
- fCtz-=k10*c04+k11*c14;
+}
- fCcc-=k20*c02+k21*c12; fCec-=k20*c03+k21*c13;
- fCtc-=k20*c04+k21*c14;
+//_____________________________________________________________________________
+Int_t AliTRDtrack::UpdateMI(const AliTRDtracklet &tracklet)
+{
+ //
+ // Assignes found tracklet to the track and updates track information
+ //
+ //
+ Double_t r00=(tracklet.GetTrackletSigma2()), r01=0., r11= 10000.;
+ r00+=fCyy; r01+=fCzy; r11+=fCzz;
+ //
+ Double_t det=r00*r11 - r01*r01;
+ Double_t tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det;
+ //
- fCee-=k30*c03+k31*c13;
- fCte-=k30*c04+k31*c14;
+ Double_t dy=tracklet.GetY() - fY, dz=tracklet.GetZ() - fZ;
+
+
+ Double_t s00 = tracklet.GetTrackletSigma2(); // error pad
+ Double_t s11 = 100000; // error pad-row
+ Float_t h01 = tracklet.GetTilt();
+ //
+ // r00 = fCyy + 2*fCzy*h01 + fCzz*h01*h01+s00;
+ r00 = fCyy + fCzz*h01*h01+s00;
+ // r01 = fCzy + fCzz*h01;
+ r01 = fCzy ;
+ r11 = fCzz + s11;
+ det = r00*r11 - r01*r01;
+ // inverse matrix
+ tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det;
+
+ Double_t k00=fCyy*r00+fCzy*r01, k01=fCyy*r01+fCzy*r11;
+ Double_t k10=fCzy*r00+fCzz*r01, k11=fCzy*r01+fCzz*r11;
+ Double_t k20=fCey*r00+fCez*r01, k21=fCey*r01+fCez*r11;
+ Double_t k30=fCty*r00+fCtz*r01, k31=fCty*r01+fCtz*r11;
+ Double_t k40=fCcy*r00+fCcz*r01, k41=fCcy*r01+fCcz*r11;
+
+ // K matrix
+// k00=fCyy*r00+fCzy*(r01+h01*r00),k01=fCyy*r01+fCzy*(r11+h01*r01);
+// k10=fCzy*r00+fCzz*(r01+h01*r00),k11=fCzy*r01+fCzz*(r11+h01*r01);
+// k20=fCey*r00+fCez*(r01+h01*r00),k21=fCey*r01+fCez*(r11+h01*r01);
+// k30=fCty*r00+fCtz*(r01+h01*r00),k31=fCty*r01+fCtz*(r11+h01*r01);
+// k40=fCcy*r00+fCcz*(r01+h01*r00),k41=fCcy*r01+fCcz*(r11+h01*r01);
+ //
+ //Update measurement
+ Double_t cur=fC + k40*dy + k41*dz, eta=fE + k20*dy + k21*dz;
+ // cur=fC + k40*dy + k41*dz; eta=fE + k20*dy + k21*dz;
+ if (TMath::Abs(cur*fX-eta) >= 0.90000) {
+ //Int_t n=GetNumberOfClusters();
+ // if (n>4) cerr<<n<<" AliTRDtrack warning: Filtering failed !\n";
+ return 0;
+ }
+// k01+=h01*k00;
+// k11+=h01*k10;
+// k21+=h01*k20;
+// k31+=h01*k30;
+// k41+=h01*k40;
- fCtt-=k40*c04+k41*c14;
- fIndex[fN++]=index;
- fChi2 += chisq;
+ fY += k00*dy + k01*dz;
+ fZ += k10*dy + k11*dz;
+ fE = eta;
+ fT += k30*dy + k31*dz;
+ fC = cur;
+
+
+ //Update covariance
+ //
+ //
+ Double_t oldyy = fCyy, oldzz = fCzz; //, oldee=fCee, oldcc =fCcc;
+ Double_t oldzy = fCzy, oldey = fCey, oldty=fCty, oldcy =fCcy;
+ Double_t oldez = fCez, oldtz = fCtz, oldcz=fCcz;
+ //Double_t oldte = fCte, oldce = fCce;
+ //Double_t oldct = fCct;
+
+ fCyy-=k00*oldyy+k01*oldzy;
+ fCzy-=k10*oldyy+k11*oldzy;
+ fCey-=k20*oldyy+k21*oldzy;
+ fCty-=k30*oldyy+k31*oldzy;
+ fCcy-=k40*oldyy+k41*oldzy;
+ //
+ fCzz-=k10*oldzy+k11*oldzz;
+ fCez-=k20*oldzy+k21*oldzz;
+ fCtz-=k30*oldzy+k31*oldzz;
+ fCcz-=k40*oldzy+k41*oldzz;
+ //
+ fCee-=k20*oldey+k21*oldez;
+ fCte-=k30*oldey+k31*oldez;
+ fCce-=k40*oldey+k41*oldez;
+ //
+ fCtt-=k30*oldty+k31*oldtz;
+ fCct-=k40*oldty+k41*oldtz;
+ //
+ fCcc-=k40*oldcy+k41*oldcz;
+ //
+ /*
+ Int_t n=GetNumberOfClusters();
+ fIndex[n]=index;
+ SetNumberOfClusters(n+1);
+ SetChi2(GetChi2()+chisq);
// cerr<<"in update: fIndex["<<fN<<"] = "<<index<<endl;
+ */
+
+ return 1;
+
}
//_____________________________________________________________________________
-Int_t AliTRDtrack::Rotate(Double_t alpha)
+Int_t AliTRDtrack::Rotate(Double_t alpha, Bool_t absolute)
{
// Rotates track parameters in R*phi plane
+ // if absolute rotation alpha is in global system
+ // otherwise alpha rotation is relative to the current rotation angle
+
+ if (absolute) {
+ alpha -= fAlpha;
+ }
+ else{
+ fNRotate++;
+ }
fAlpha += alpha;
+ if (fAlpha<-TMath::Pi()) fAlpha += 2*TMath::Pi();
+ if (fAlpha>=TMath::Pi()) fAlpha -= 2*TMath::Pi();
Double_t x1=fX, y1=fY;
Double_t ca=cos(alpha), sa=sin(alpha);
Double_t r1=fC*fX - fE;
fX = x1*ca + y1*sa;
- fY=-x1*sa + y1*ca;
+ fY =-x1*sa + y1*ca;
+ if((r1*r1) > 1) return 0;
fE=fE*ca + (fC*y1 + sqrt(1.- r1*r1))*sa;
Double_t r2=fC*fX - fE;
- if (TMath::Abs(r2) >= 0.99999) {
- if (fN>4) cerr<<fN<<" AliTRDtrack warning: Rotation failed !\n";
+ if (TMath::Abs(r2) >= 0.90000) {
+ Int_t n=GetNumberOfClusters();
+ if (n>4) cerr<<n<<" AliTRDtrack warning: Rotation failed !\n";
return 0;
}
+ if((r2*r2) > 1) return 0;
Double_t y0=fY + sqrt(1.- r2*r2)/fC;
if ((fY-y0)*fC >= 0.) {
- if (fN>4) cerr<<fN<<" AliTRDtrack warning: Rotation failed !!!\n";
+ Int_t n=GetNumberOfClusters();
+ if (n>4) cerr<<n<<" AliTRDtrack warning: Rotation failed !!!\n";
return 0;
}
//f = F - 1
- Double_t f00=ca-1, f32=(y1 - r1*x1/sqrt(1.- r1*r1))*sa,
- f30=fC*sa, f33=(ca + sa*r1/sqrt(1.- r1*r1))-1;
+ Double_t f00=ca-1, f24=(y1 - r1*x1/sqrt(1.- r1*r1))*sa,
+ f20=fC*sa, f22=(ca + sa*r1/sqrt(1.- r1*r1))-1;
//b = C*ft
- Double_t b00=fCyy*f00, b03=fCyy*f30+fCcy*f32+fCey*f33;
- Double_t b10=fCzy*f00, b13=fCzy*f30+fCcz*f32+fCez*f33;
- Double_t b20=fCcy*f00, b23=fCcy*f30+fCcc*f32+fCec*f33;
- Double_t b30=fCey*f00, b33=fCey*f30+fCec*f32+fCee*f33;
- Double_t b40=fCty*f00, b43=fCty*f30+fCtc*f32+fCte*f33;
+ Double_t b00=fCyy*f00, b02=fCyy*f20+fCcy*f24+fCey*f22;
+ Double_t b10=fCzy*f00, b12=fCzy*f20+fCcz*f24+fCez*f22;
+ Double_t b20=fCey*f00, b22=fCey*f20+fCce*f24+fCee*f22;
+ Double_t b30=fCty*f00, b32=fCty*f20+fCct*f24+fCte*f22;
+ Double_t b40=fCcy*f00, b42=fCcy*f20+fCcc*f24+fCce*f22;
//a = f*b = f*C*ft
- Double_t a00=f00*b00, a03=f00*b03, a33=f30*b03+f32*b23+f33*b33;
+ Double_t a00=f00*b00, a02=f00*b02, a22=f20*b02+f24*b42+f22*b22;
- // *** Double_t dy2=fCyy;
-
//F*C*Ft = C + (a + b + bt)
fCyy += a00 + 2*b00;
fCzy += b10;
- fCcy += b20;
- fCey += a03+b30+b03;
- fCty += b40;
- fCez += b13;
- fCec += b23;
- fCee += a33 + 2*b33;
- fCte += b43;
+ fCey += a02+b20+b02;
+ fCty += b30;
+ fCcy += b40;
+ fCez += b12;
+ fCte += b32;
+ fCee += a22 + 2*b22;
+ fCce += b42;
- // *** fCyy+=dy2*sa*sa*r1*r1/(1.- r1*r1);
- // *** fCzz+=d2y*sa*sa*fT*fT/(1.- r1*r1);
+ return 1;
- return 1;
}
-
-
-
//_____________________________________________________________________________
-Double_t AliTRDtrack::GetPredictedChi2(const AliTRDcluster *c) const
+Double_t AliTRDtrack::GetPredictedChi2(const AliTRDcluster *c, Double_t h01) const
{
- Double_t r00=c->GetSigmaY2(), r01=0., r11=c->GetSigmaZ2()*12;
- r00+=fCyy; r01+=fCzy; r11+=fCzz;
+ //
+ // Returns the track chi2
+ //
- Double_t det=r00*r11 - r01*r01;
- if (TMath::Abs(det) < 1.e-10) {
- if (fN>4) cerr<<fN<<" AliTRDtrack warning: Singular matrix !\n";
- return 1e10;
- }
- Double_t tmp=r00; r00=r11; r11=tmp; r01=-r01;
+ Bool_t fNoTilt = kTRUE;
+ if(TMath::Abs(h01) > 0.003) fNoTilt = kFALSE;
+ Double_t chi2, dy, r00, r01, r11;
- Double_t dy=c->GetY() - fY, dz=c->GetZ() - fZ;
+ if(fNoTilt) {
+ dy=c->GetY() - fY;
+ r00=c->GetSigmaY2();
+ chi2 = (dy*dy)/r00;
+ }
+ else {
+ Double_t padlength = TMath::Sqrt(c->GetSigmaZ2()*12);
+ //
+ r00=c->GetSigmaY2(); r01=0.; r11=c->GetSigmaZ2();
+ r00+=fCyy; r01+=fCzy; r11+=fCzz;
+
+ Double_t det=r00*r11 - r01*r01;
+ if (TMath::Abs(det) < 1.e-10) {
+ Int_t n=GetNumberOfClusters();
+ if (n>4) cerr<<n<<" AliTRDtrack warning: Singular matrix !\n";
+ return 1e10;
+ }
+ Double_t tmp=r00; r00=r11; r11=tmp; r01=-r01;
+ Double_t dy=c->GetY() - fY, dz=c->GetZ() - fZ;
+ Double_t tiltdz = dz;
+ if (TMath::Abs(tiltdz)>padlength/2.) {
+ tiltdz = TMath::Sign(padlength/2,dz);
+ }
+ // dy=dy+h01*dz;
+ dy=dy+h01*tiltdz;
+
+ chi2 = (dy*r00*dy + 2*r01*dy*dz + dz*r11*dz)/det;
+ }
- return (dy*r00*dy + 2*r01*dy*dz + dz*r11*dz)/det;
-}
+ return chi2;
+}
//_________________________________________________________________________
void AliTRDtrack::GetPxPyPz(Double_t& px, Double_t& py, Double_t& pz) const
Double_t pt=TMath::Abs(GetPt()); // GeV/c
Double_t r=fC*fX-fE;
- Double_t y0=fY + sqrt(1.- r*r)/fC;
- px=-pt*(fY-y0)*fC; //cos(phi);
- py=-pt*(fE-fX*fC); //sin(phi);
+
+ Double_t y0;
+ if(r > 1) { py = pt; px = 0; }
+ else if(r < -1) { py = -pt; px = 0; }
+ else {
+ y0=fY + sqrt(1.- r*r)/fC;
+ px=-pt*(fY-y0)*fC; //cos(phi);
+ py=-pt*(fE-fX*fC); //sin(phi);
+ }
pz=pt*fT;
Double_t tmp=px*TMath::Cos(fAlpha) - py*TMath::Sin(fAlpha);
py=px*TMath::Sin(fAlpha) + py*TMath::Cos(fAlpha);
}
-//____________________________________________________________________________
-void AliTRDtrack::Streamer(TBuffer &R__b)
+//_________________________________________________________________________
+void AliTRDtrack::GetGlobalXYZ(Double_t& x, Double_t& y, Double_t& z) const
+{
+ // Returns reconstructed track coordinates in the global system.
+
+ x = fX; y = fY; z = fZ;
+ Double_t tmp=x*TMath::Cos(fAlpha) - y*TMath::Sin(fAlpha);
+ y=x*TMath::Sin(fAlpha) + y*TMath::Cos(fAlpha);
+ x=tmp;
+
+}
+
+//_________________________________________________________________________
+void AliTRDtrack::ResetCovariance()
+{
+ //
+ // Resets covariance matrix
+ //
+
+ fCyy*=10.;
+ fCzy=0.; fCzz*=10.;
+ fCey=0.; fCez=0.; fCee*=10.;
+ fCty=0.; fCtz=0.; fCte=0.; fCtt*=10.;
+ fCcy=0.; fCcz=0.; fCce=0.; fCct=0.; fCcc*=10.;
+
+}
+
+//_____________________________________________________________________________
+void AliTRDtrack::ResetCovariance(Float_t mult)
+{
+ //
+ // Resets covariance matrix
+ //
+
+ fCyy*=mult;
+ fCzy*=0.; fCzz*=1.;
+ fCey*=0.; fCez*=0.; fCee*=mult;
+ fCty*=0.; fCtz*=0.; fCte*=0.; fCtt*=1.;
+ fCcy*=0.; fCcz*=0.; fCce*=0.; fCct*=0.; fCcc*=mult;
+
+}
+
+//_____________________________________________________________________________
+void AliTRDtrack::MakeBackupTrack()
+{
+ //
+ // Creates a backup track
+ //
+
+ if (fBackupTrack) delete fBackupTrack;
+ fBackupTrack = new AliTRDtrack(*this);
+
+}
+
+//_____________________________________________________________________________
+Int_t AliTRDtrack::GetProlongation(Double_t xk, Double_t &y, Double_t &z)
+{
+ //
+ // Find prolongation at given x
+ // return 0 if not exist
+
+ Double_t c1=fC*fX - fE;
+ if (TMath::Abs(c1)>1.) return 0;
+ Double_t r1=TMath::Sqrt(1.- c1*c1);
+ Double_t c2=fC*xk - fE;
+ if (TMath::Abs(c2)>1.) return 0;
+ Double_t r2=TMath::Sqrt(1.- c2*c2);
+ y =fY + (xk-fX)*(c1+c2)/(r1+r2);
+ z =fZ + (xk-fX)*(c1+c2)/(c1*r2 + c2*r1)*fT;
+
+ return 1;
+
+}
+
+//_____________________________________________________________________________
+Int_t AliTRDtrack::PropagateToX(Double_t xr, Double_t step)
+{
+ //
+ // Propagate track to given x position
+ // works inside of the 20 degree segmentation (local cooordinate frame for TRD , TPC, TOF)
+ //
+ // material budget from geo manager
+ //
+ Double_t xyz0[3], xyz1[3],y,z;
+ const Double_t kAlphac = TMath::Pi()/9.;
+ const Double_t kTalphac = TMath::Tan(kAlphac*0.5);
+ // critical alpha - cross sector indication
+ //
+ Double_t dir = (fX>xr) ? -1.:1.;
+ // direction +-
+ for (Double_t x=fX+dir*step;dir*x<dir*xr;x+=dir*step){
+ //
+ GetGlobalXYZ(xyz0[0],xyz0[1],xyz0[2]);
+ GetProlongation(x,y,z);
+ xyz1[0] = x*TMath::Cos(fAlpha)+y*TMath::Sin(fAlpha);
+ xyz1[1] = x*TMath::Sin(fAlpha)-y*TMath::Cos(fAlpha);
+ xyz1[2] = z;
+ Double_t param[7];
+ AliKalmanTrack::MeanMaterialBudget(xyz0,xyz1,param);
+ //
+ if (param[0]>0&¶m[1]>0) PropagateTo(x,param[1],param[0]);
+ if (fY>fX*kTalphac){
+ Rotate(-kAlphac);
+ }
+ if (fY<-fX*kTalphac){
+ Rotate(kAlphac);
+ }
+ }
+ //
+ PropagateTo(xr);
+
+ return 0;
+
+}
+
+//_____________________________________________________________________________
+Int_t AliTRDtrack::PropagateToR(Double_t r,Double_t step)
+{
+ //
+ // propagate track to the radial position
+ // rotation always connected to the last track position
+ //
+ Double_t xyz0[3], xyz1[3],y,z;
+ Double_t radius = TMath::Sqrt(fX*fX+fY*fY);
+ Double_t dir = (radius>r) ? -1.:1.; // direction +-
+ //
+ for (Double_t x=radius+dir*step;dir*x<dir*r;x+=dir*step){
+ GetGlobalXYZ(xyz0[0],xyz0[1],xyz0[2]);
+ Double_t alpha = TMath::ATan2(xyz0[1],xyz0[0]);
+ Rotate(alpha,kTRUE);
+ GetGlobalXYZ(xyz0[0],xyz0[1],xyz0[2]);
+ GetProlongation(x,y,z);
+ xyz1[0] = x*TMath::Cos(alpha)+y*TMath::Sin(alpha);
+ xyz1[1] = x*TMath::Sin(alpha)-y*TMath::Cos(alpha);
+ xyz1[2] = z;
+ Double_t param[7];
+ AliKalmanTrack::MeanMaterialBudget(xyz0,xyz1,param);
+ if (param[1]<=0) param[1] =100000000;
+ PropagateTo(x,param[1],param[0]);
+ }
+ GetGlobalXYZ(xyz0[0],xyz0[1],xyz0[2]);
+ Double_t alpha = TMath::ATan2(xyz0[1],xyz0[0]);
+ Rotate(alpha,kTRUE);
+ GetGlobalXYZ(xyz0[0],xyz0[1],xyz0[2]);
+ GetProlongation(r,y,z);
+ xyz1[0] = r*TMath::Cos(alpha)+y*TMath::Sin(alpha);
+ xyz1[1] = r*TMath::Sin(alpha)-y*TMath::Cos(alpha);
+ xyz1[2] = z;
+ Double_t param[7];
+ AliKalmanTrack::MeanMaterialBudget(xyz0,xyz1,param);
+ //
+ if (param[1]<=0) param[1] =100000000;
+ PropagateTo(r,param[1],param[0]);
+
+ return 0;
+
+}
+
+//_____________________________________________________________________________
+Int_t AliTRDtrack::GetSector() const
{
- if (R__b.IsReading()) {
- Version_t R__v = R__b.ReadVersion(); if (R__v) { }
- TObject::Streamer(R__b);
- R__b >> fLab;
- R__b >> fChi2;
- R__b >> fdEdx;
- R__b >> fAlpha;
- R__b >> fX;
- R__b >> fY;
- R__b >> fZ;
- R__b >> fC;
- R__b >> fE;
- R__b >> fT;
- R__b >> fCyy;
- R__b >> fCzy;
- R__b >> fCzz;
- R__b >> fCcy;
- R__b >> fCcz;
- R__b >> fCcc;
- R__b >> fCey;
- R__b >> fCez;
- R__b >> fCec;
- R__b >> fCee;
- R__b >> fCty;
- R__b >> fCtz;
- R__b >> fCtc;
- R__b >> fCte;
- R__b >> fCtt;
- R__b >> fN;
- for (Int_t i=0; i<fN; i++) R__b >> fIndex[i];
- } else {
- R__b.WriteVersion(AliTRDtrack::IsA());
- TObject::Streamer(R__b);
- R__b << fLab;
- R__b << fChi2;
- R__b << fdEdx;
- R__b << fAlpha;
- R__b << fX;
- R__b << fY;
- R__b << fZ;
- R__b << fC;
- R__b << fE;
- R__b << fT;
- R__b << fCyy;
- R__b << fCzy;
- R__b << fCzz;
- R__b << fCcy;
- R__b << fCcz;
- R__b << fCcc;
- R__b << fCey;
- R__b << fCez;
- R__b << fCec;
- R__b << fCee;
- R__b << fCty;
- R__b << fCtz;
- R__b << fCtc;
- R__b << fCte;
- R__b << fCtt;
- R__b << fN;
- for (Int_t i=0; i<fN; i++) R__b << fIndex[i];
- }
-}
+ //
+ // Return the current sector
+ //
+
+ return Int_t(TVector2::Phi_0_2pi(fAlpha)
+ / AliTRDgeometry::GetAlpha())
+ % AliTRDgeometry::kNsect;
+
+}
+
+//_____________________________________________________________________________
+Double_t AliTRDtrack::Get1Pt() const
+{
+ //--------------------------------------------------------------
+ // Returns the inverse Pt (1/GeV/c)
+ // (or 1/"most probable pt", if the field is too weak)
+ //--------------------------------------------------------------
+ if (TMath::Abs(GetLocalConvConst()) > kVeryBigConvConst)
+ return 1./kMostProbableMomentum/TMath::Sqrt(1.+ GetTgl()*GetTgl());
+ return (TMath::Sign(1e-9,fC) + fC)*GetLocalConvConst();
+}
+
+//_____________________________________________________________________________
+Double_t AliTRDtrack::GetP() const
+{
+ //
+ // Returns the total momentum
+ //
+
+ return TMath::Abs(GetPt())*sqrt(1.+GetTgl()*GetTgl());
+
+}
+
+//_____________________________________________________________________________
+Double_t AliTRDtrack::GetYat(Double_t xk) const
+{
+ //
+ // This function calculates the Y-coordinate of a track at
+ // the plane x = xk.
+ // Needed for matching with the TOF (I.Belikov)
+ //
+
+ Double_t c1 = fC*fX - fE;
+ Double_t r1 = TMath::Sqrt(1.0 - c1*c1);
+ Double_t c2 = fC*xk - fE;
+ Double_t r2 = TMath::Sqrt(1.0- c2*c2);
+ return fY + (xk-fX)*(c1+c2)/(r1+r2);
+
+}
+
+//_____________________________________________________________________________
+void AliTRDtrack::SetSampledEdx(Float_t q, Int_t i)
+{
+ //
+ // The sampled energy loss
+ //
+
+ Double_t s = GetSnp();
+ Double_t t = GetTgl();
+ q *= TMath::Sqrt((1-s*s)/(1+t*t));
+ fdQdl[i] = q;
+
+}
+
+ //_____________________________________________________________________________
+void AliTRDtrack::SetSampledEdx(Float_t q)
+{
+ //
+ // The sampled energy loss
+ //
+
+ Double_t s = GetSnp();
+ Double_t t = GetTgl();
+ q*= TMath::Sqrt((1-s*s)/(1+t*t));
+ fdQdl[fNdedx] = q;
+ fNdedx++;
+
+}
+
+//_____________________________________________________________________________
+void AliTRDtrack::GetXYZ(Float_t r[3]) const
+{
+
+ //---------------------------------------------------------------------
+ // Returns the position of the track in the global coord. system
+ //---------------------------------------------------------------------
+ Double_t cs = TMath::Cos(fAlpha);
+ Double_t sn = TMath::Sin(fAlpha);
+ r[0] = fX*cs - fY*sn;
+ r[1] = fX*sn + fY*cs;
+ r[2] = fZ;
+}