* provided "as is" without express or implied warranty. *
**************************************************************************/
-/*
-$Log$
-Revision 1.7 2000/09/19 15:50:46 gosset
-TrackChi2MCS function: covariance matrix better calculated,
-taking into account missing planes...
-
-Revision 1.6 2000/07/20 12:45:27 gosset
-New "EventReconstructor..." structure,
- hopefully more adapted to tree/streamer.
-"AliMUONEventReconstructor::RemoveDoubleTracks"
- to keep only one track among similar ones.
-
-Revision 1.5 2000/07/18 16:04:06 gosset
-AliMUONEventReconstructor package:
-* a few minor modifications and more comments
-* a few corrections
- * right sign for Z of raw clusters
- * right loop over chambers inside station
- * symmetrized covariance matrix for measurements (TrackChi2MCS)
- * right sign of charge in extrapolation (ExtrapToZ)
- * right zEndAbsorber for Branson correction below 3 degrees
-* use of TVirtualFitter instead of TMinuit for AliMUONTrack::Fit
-* no parameter for AliMUONTrack::Fit() but more fit parameters in Track object
-
-Revision 1.4 2000/06/30 10:15:48 gosset
-Changes to EventReconstructor...:
-precision fit with multiple Coulomb scattering;
-extrapolation to vertex with Branson correction in absorber (JPC)
-
-Revision 1.3 2000/06/25 13:23:28 hristov
-stdlib.h needed for non-Linux compilation
-
-Revision 1.2 2000/06/15 07:58:48 morsch
-Code from MUON-dev joined
-
-Revision 1.1.2.3 2000/06/12 10:11:34 morsch
-Dummy copy constructor and assignment operator added
-
-Revision 1.1.2.2 2000/06/09 12:58:05 gosset
-Removed comment beginnings in Log sections of .cxx files
-Suppressed most violations of coding rules
-
-Revision 1.1.2.1 2000/06/07 14:44:53 gosset
-Addition of files for track reconstruction in C++
-*/
+/* $Id$ */
-//__________________________________________________________________________
+///////////////////////////////////////////////////
//
-// Reconstructed track in ALICE dimuon spectrometer
-//__________________________________________________________________________
+// Reconstructed track
+// in
+// ALICE
+// dimuon
+// spectrometer
+//
+///////////////////////////////////////////////////
#include "AliMUONTrack.h"
-#include <iostream.h>
-
-#include <TClonesArray.h>
-#include <TMath.h>
-#include <TMatrixD.h>
-#include <TObjArray.h>
-#include <TVirtualFitter.h>
-
-#include "AliMUONEventReconstructor.h"
+#include "AliMUONTrackParam.h"
#include "AliMUONHitForRec.h"
-#include "AliMUONSegment.h"
-#include "AliMUONTrackHit.h"
-
-#include <stdlib.h>
+#include "AliMUONConstants.h"
+#include "AliMUONTrackExtrap.h"
-// Functions to be minimized with Minuit
-void TrackChi2(Int_t &NParam, Double_t *Gradient, Double_t &Chi2, Double_t *Param, Int_t Flag);
-void TrackChi2MCS(Int_t &NParam, Double_t *Gradient, Double_t &Chi2, Double_t *Param, Int_t Flag);
+#include "AliLog.h"
-Double_t MultipleScatteringAngle2(AliMUONTrackHit *TrackHit);
+#include <TMath.h>
+#include <Riostream.h>
+#include <TMatrixD.h>
+/// \cond CLASSIMP
ClassImp(AliMUONTrack) // Class implementation in ROOT context
+/// \endcond
-TVirtualFitter* AliMUONTrack::fgFitter = NULL;
+const Double_t AliMUONTrack::fgkMaxTrackingDistanceBending = 2.;
+const Double_t AliMUONTrack::fgkMaxTrackingDistanceNonBending = 2.;
- //__________________________________________________________________________
-AliMUONTrack::AliMUONTrack(AliMUONSegment* BegSegment, AliMUONSegment* EndSegment, AliMUONEventReconstructor* EventReconstructor)
+//__________________________________________________________________________
+AliMUONTrack::AliMUONTrack()
+ : TObject(),
+ fTrackParamAtVertex(),
+ fTrackParamAtHit(0x0),
+ fHitForRecAtHit(0x0),
+ fNTrackHits(0),
+ fExtrapTrackParam(),
+ fFitWithVertex(kFALSE),
+ fVertex(0x0),
+ fFitFMin(-1.),
+ fMatchTrigger(-1),
+ floTrgNum(-1),
+ fChi2MatchTrigger(0.),
+ fTrackID(0),
+ fHitsPatternInTrigCh(0)
{
- // Constructor from two Segment's
- fEventReconstructor = EventReconstructor; // link back to EventReconstructor
- // memory allocation for the TObjArray of pointers to reconstructed TrackHit's
- fTrackHitsPtr = new TObjArray(10);
- fNTrackHits = 0;
- AddSegment(BegSegment); // add hits from BegSegment
- AddSegment(EndSegment); // add hits from EndSegment
- fTrackHitsPtr->Sort(); // sort TrackHits according to increasing Z
- SetTrackParamAtVertex(); // set track parameters at vertex
- // set fit conditions...
- fFitMCS = 0;
- fFitNParam = 3;
- fFitStart = 1;
- fFitFMin = -1.0;
- return;
+ /// Default constructor
}
//__________________________________________________________________________
-AliMUONTrack::AliMUONTrack(AliMUONSegment* Segment, AliMUONHitForRec* HitForRec, AliMUONEventReconstructor* EventReconstructor)
+AliMUONTrack::AliMUONTrack(AliMUONHitForRec* hitForRec1, AliMUONHitForRec* hitForRec2)
+ : TObject(),
+ fTrackParamAtVertex(),
+ fTrackParamAtHit(0x0),
+ fHitForRecAtHit(0x0),
+ fNTrackHits(0),
+ fExtrapTrackParam(),
+ fFitWithVertex(kFALSE),
+ fVertex(0x0),
+ fFitFMin(-1.),
+ fMatchTrigger(-1),
+ floTrgNum(-1),
+ fChi2MatchTrigger(0.),
+ fTrackID(0),
+ fHitsPatternInTrigCh(0)
{
- // Constructor from one Segment and one HitForRec
- fEventReconstructor = EventReconstructor; // link back to EventReconstructor
- // memory allocation for the TObjArray of pointers to reconstructed TrackHit's
- fTrackHitsPtr = new TObjArray(10);
- fNTrackHits = 0;
- AddSegment(Segment); // add hits from Segment
- AddHitForRec(HitForRec); // add HitForRec
- fTrackHitsPtr->Sort(); // sort TrackHits according to increasing Z
- SetTrackParamAtVertex(); // set track parameters at vertex
- // set fit conditions...
- fFitMCS = 0;
- fFitNParam = 3;
- fFitStart = 1;
- fFitFMin = -1.0;
- return;
+ /// Constructor from thw hitForRec's
+
+ fTrackParamAtHit = new TClonesArray("AliMUONTrackParam",10);
+ fHitForRecAtHit = new TClonesArray("AliMUONHitForRec",10);
+
+ if (!hitForRec1) return; //AZ
+
+ // Add hits to the track
+ AddTrackParamAtHit(0,hitForRec1);
+ AddTrackParamAtHit(0,hitForRec2);
+
+ // sort TrackParamAtHit according to increasing -Z
+ fTrackParamAtHit->Sort();
+
+ // Set track parameters at first track hit
+ AliMUONTrackParam* trackParamAtFirstHit = (AliMUONTrackParam*) fTrackParamAtHit->First();
+ AliMUONHitForRec* firstHit = trackParamAtFirstHit->GetHitForRecPtr();
+ AliMUONHitForRec* lastHit = ((AliMUONTrackParam*) fTrackParamAtHit->Last())->GetHitForRecPtr();
+ Double_t dZ = firstHit->GetZ() - lastHit->GetZ();
+ // Non bending plane
+ Double_t nonBendingCoor = firstHit->GetNonBendingCoor();
+ trackParamAtFirstHit->SetNonBendingCoor(nonBendingCoor);
+ trackParamAtFirstHit->SetNonBendingSlope((nonBendingCoor - lastHit->GetNonBendingCoor()) / dZ);
+ // Bending plane
+ Double_t bendingCoor = firstHit->GetBendingCoor();
+ trackParamAtFirstHit->SetBendingCoor(bendingCoor);
+ Double_t bendingSlope = (bendingCoor - lastHit->GetBendingCoor()) / dZ;
+ trackParamAtFirstHit->SetBendingSlope(bendingSlope);
+ // Inverse bending momentum
+ Double_t bendingImpact = bendingCoor - firstHit->GetZ() * bendingSlope;
+ Double_t inverseBendingMomentum = 1. / AliMUONTrackExtrap::GetBendingMomentumFromImpactParam(bendingImpact);
+ trackParamAtFirstHit->SetInverseBendingMomentum(inverseBendingMomentum);
+
+ // Evaluate covariances
+ TMatrixD *paramCov = trackParamAtFirstHit->GetCovariances();
+ (*paramCov) = 0;
+ // Non bending plane
+ (*paramCov)(0,0) = firstHit->GetNonBendingReso2();
+ (*paramCov)(0,1) = firstHit->GetNonBendingReso2() / dZ;
+ (*paramCov)(1,0) = (*paramCov)(0,1);
+ (*paramCov)(1,1) = ( firstHit->GetNonBendingReso2() + lastHit->GetNonBendingReso2() ) / dZ / dZ;
+ // Bending plane
+ (*paramCov)(2,2) = firstHit->GetBendingReso2();
+ (*paramCov)(2,3) = firstHit->GetBendingReso2() / dZ;
+ (*paramCov)(3,2) = (*paramCov)(2,3);
+ (*paramCov)(3,3) = ( firstHit->GetBendingReso2() + lastHit->GetBendingReso2() ) / dZ / dZ;
+ // Inverse bending momentum (50% error)
+ (*paramCov)(4,4) = 0.5*inverseBendingMomentum * 0.5*inverseBendingMomentum;
+
}
//__________________________________________________________________________
AliMUONTrack::~AliMUONTrack()
{
- // Destructor
- if (fTrackHitsPtr) {
- delete fTrackHitsPtr; // delete the TObjArray of pointers to TrackHit's
- fTrackHitsPtr = NULL;
+ /// Destructor
+ if (fTrackParamAtHit) {
+ // delete the TClonesArray of pointers to TrackParam
+ delete fTrackParamAtHit;
+ fTrackParamAtHit = 0x0;
+ }
+
+ if (fHitForRecAtHit) {
+ // delete the TClonesArray of pointers to HitForRec
+ delete fHitForRecAtHit;
+ fHitForRecAtHit = 0x0;
+ }
+
+ if (fVertex) {
+ // delete the vertex used during the tracking procedure
+ delete fVertex;
+ fVertex = 0x0;
}
}
//__________________________________________________________________________
-AliMUONTrack::AliMUONTrack (const AliMUONTrack& MUONTrack)
+AliMUONTrack::AliMUONTrack (const AliMUONTrack& theMUONTrack)
+ : TObject(theMUONTrack),
+ fTrackParamAtVertex(theMUONTrack.fTrackParamAtVertex),
+ fTrackParamAtHit(0x0),
+ fHitForRecAtHit(0x0),
+ fNTrackHits(theMUONTrack.fNTrackHits),
+ fExtrapTrackParam(theMUONTrack.fExtrapTrackParam),
+ fFitWithVertex(theMUONTrack.fFitWithVertex),
+ fVertex(0x0),
+ fFitFMin(theMUONTrack.fFitFMin),
+ fMatchTrigger(theMUONTrack.fMatchTrigger),
+ floTrgNum(theMUONTrack.floTrgNum),
+ fChi2MatchTrigger(theMUONTrack.fChi2MatchTrigger),
+ fTrackID(theMUONTrack.fTrackID),
+ fHitsPatternInTrigCh(theMUONTrack.fHitsPatternInTrigCh)
{
-// Dummy copy constructor
+ ///copy constructor
+ Int_t maxIndex = 0;
+
+ // necessary to make a copy of the objects and not only the pointers in TClonesArray.
+ if (theMUONTrack.fTrackParamAtHit) {
+ maxIndex = (theMUONTrack.fTrackParamAtHit)->GetEntriesFast();
+ fTrackParamAtHit = new TClonesArray("AliMUONTrackParam",maxIndex);
+ for (Int_t index = 0; index < maxIndex; index++) {
+ new ((*fTrackParamAtHit)[index]) AliMUONTrackParam(*(AliMUONTrackParam*)theMUONTrack.fTrackParamAtHit->At(index));
+ }
+ }
+
+ // necessary to make a copy of the objects and not only the pointers in TClonesArray.
+ if (theMUONTrack.fHitForRecAtHit) {
+ maxIndex = (theMUONTrack.fHitForRecAtHit)->GetEntriesFast();
+ fHitForRecAtHit = new TClonesArray("AliMUONHitForRec",maxIndex);
+ for (Int_t index = 0; index < maxIndex; index++) {
+ new ((*fHitForRecAtHit)[index]) AliMUONHitForRec(*(AliMUONHitForRec*)theMUONTrack.fHitForRecAtHit->At(index));
+ }
+ }
+
+ // copy vertex used during the tracking procedure if any
+ if (theMUONTrack.fVertex) fVertex = new AliMUONHitForRec(*(theMUONTrack.fVertex));
+
}
//__________________________________________________________________________
-AliMUONTrack & AliMUONTrack::operator=(const AliMUONTrack& MUONTrack)
+AliMUONTrack & AliMUONTrack::operator=(const AliMUONTrack& theMUONTrack)
{
-// Dummy assignment operator
+ /// Asignment operator
+ // check assignement to self
+ if (this == &theMUONTrack)
return *this;
-}
- //__________________________________________________________________________
-void AliMUONTrack::Remove()
-{
- // Remove current track from array of tracks,
- // and corresponding track hits from array of track hits.
- // Compress the TClonesArray it belongs to.
- AliMUONTrackHit *nextTrackHit;
- AliMUONEventReconstructor *eventRec = this->fEventReconstructor;
- TClonesArray *trackHitsPtr = eventRec->GetRecTrackHitsPtr();
- // Loop over all track hits of track
- AliMUONTrackHit *trackHit = (AliMUONTrackHit*) fTrackHitsPtr->First();
- while (trackHit) {
- nextTrackHit = (AliMUONTrackHit*) fTrackHitsPtr->After(trackHit);
- // Remove TrackHit from event TClonesArray.
- // Destructor is called,
- // hence links between HitForRec's and TrackHit's are updated
- trackHitsPtr->Remove(trackHit);
- trackHit = nextTrackHit;
+ // base class assignement
+ TObject::operator=(theMUONTrack);
+
+ fTrackParamAtVertex = theMUONTrack.fTrackParamAtVertex;
+
+ Int_t maxIndex = 0;
+
+ // necessary to make a copy of the objects and not only the pointers in TClonesArray.
+ if (theMUONTrack.fTrackParamAtHit) {
+ if (fTrackParamAtHit) fTrackParamAtHit->Clear();
+ else fTrackParamAtHit = new TClonesArray("AliMUONTrackParam",10);
+ maxIndex = (theMUONTrack.fTrackParamAtHit)->GetEntriesFast();
+ for (Int_t index = 0; index < maxIndex; index++) {
+ new ((*fTrackParamAtHit)[fTrackParamAtHit->GetEntriesFast()])
+ AliMUONTrackParam(*(AliMUONTrackParam*)(theMUONTrack.fTrackParamAtHit)->At(index));
+ }
+ } else if (fTrackParamAtHit) {
+ delete fTrackParamAtHit;
+ fTrackParamAtHit = 0x0;
}
- // Remove the track from event TClonesArray
- // Destructor is called,
- // hence space for TObjArray of pointers to TrackHit's is freed
- eventRec->GetRecTracksPtr()->Remove(this);
- // Number of tracks decreased by 1
- eventRec->SetNRecTracks(eventRec->GetNRecTracks() - 1);
- // Compress event TClonesArray of Track's:
- // this is essential to retrieve the TClonesArray afterwards
- eventRec->GetRecTracksPtr()->Compress();
- // Compress event TClonesArray of TrackHit's:
- // this is probably also essential to retrieve the TClonesArray afterwards
- trackHitsPtr->Compress();
-}
- //__________________________________________________________________________
-void AliMUONTrack::SetFitMCS(Int_t FitMCS)
-{
- // Set multiple Coulomb scattering option for track fit "fFitMCS"
- // from "FitMCS" argument: 0 without, 1 with
- if ((FitMCS == 0) || (FitMCS == 1)) fFitMCS = FitMCS;
- // better implementation with enum(with, without) ????
- else {
- cout << "ERROR in AliMUONTrack::SetFitMCS(FitMCS)" << endl;
- cout << "FitMCS = " << FitMCS << " is neither 0 nor 1" << endl;
- exit(0);
+ // necessary to make a copy of the objects and not only the pointers in TClonesArray.
+ if (theMUONTrack.fHitForRecAtHit) {
+ if (fHitForRecAtHit) fHitForRecAtHit->Clear();
+ else fHitForRecAtHit = new TClonesArray("AliMUONHitForRec",10);
+ maxIndex = (theMUONTrack.fHitForRecAtHit)->GetEntriesFast();
+ for (Int_t index = 0; index < maxIndex; index++) {
+ new ((*fHitForRecAtHit)[fHitForRecAtHit->GetEntriesFast()])
+ AliMUONHitForRec(*(AliMUONHitForRec*)(theMUONTrack.fHitForRecAtHit)->At(index));
+ }
+ } else if (fHitForRecAtHit) {
+ delete fHitForRecAtHit;
+ fHitForRecAtHit = 0x0;
}
- return;
+
+ // copy vertex used during the tracking procedure if any.
+ if (theMUONTrack.fVertex) {
+ if (fVertex) *fVertex = *(theMUONTrack.fVertex);
+ else fVertex = new AliMUONHitForRec(*(theMUONTrack.fVertex));
+ } else if (fVertex) {
+ delete fVertex;
+ fVertex = 0x0;
+ }
+
+ fExtrapTrackParam = theMUONTrack.fExtrapTrackParam;
+
+ fNTrackHits = theMUONTrack.fNTrackHits;
+ fFitWithVertex = theMUONTrack.fFitWithVertex;
+ fFitFMin = theMUONTrack.fFitFMin;
+ fMatchTrigger = theMUONTrack.fMatchTrigger;
+ floTrgNum = theMUONTrack.floTrgNum;
+ fChi2MatchTrigger = theMUONTrack.fChi2MatchTrigger;
+ fTrackID = theMUONTrack.fTrackID;
+ fHitsPatternInTrigCh = theMUONTrack.fHitsPatternInTrigCh;
+
+ return *this;
}
//__________________________________________________________________________
-void AliMUONTrack::SetFitNParam(Int_t FitNParam)
+void AliMUONTrack::AddTrackParamAtHit(AliMUONTrackParam *trackParam, AliMUONHitForRec *hitForRec)
{
- // Set number of parameters for track fit "fFitNParam" from "FitNParam":
- // 3 for momentum, 5 for momentum and position
- if ((FitNParam == 3) || (FitNParam == 5)) fFitNParam = FitNParam;
- else {
- cout << "ERROR in AliMUONTrack::SetFitNParam(FitNParam)" << endl;
- cout << "FitNParam = " << FitNParam << " is neither 3 nor 5" << endl;
- exit(0);
+ /// Add TrackParamAtHit if "trackParam" != NULL
+ /// else create empty TrackParamAtHit and set the z position to the one of "hitForRec" if any
+ /// Update link to HitForRec if "hitForRec" != NULL
+ if (!fTrackParamAtHit) {
+ fTrackParamAtHit = new TClonesArray("AliMUONTrackParam",10);
+ fNTrackHits = 0;
}
- return;
+ AliMUONTrackParam* trackParamAtHit;
+ if (trackParam) {
+ trackParamAtHit = new ((*fTrackParamAtHit)[fNTrackHits]) AliMUONTrackParam(*trackParam);
+ if (hitForRec) {
+ if (hitForRec->GetZ() != trackParam->GetZ())
+ AliWarning("Added track parameters at a different z position than the one of the attached hit");
+ }
+ } else {
+ trackParamAtHit = new ((*fTrackParamAtHit)[fNTrackHits]) AliMUONTrackParam();
+ if (hitForRec) ((AliMUONTrackParam*) fTrackParamAtHit->UncheckedAt(fNTrackHits))->SetZ(hitForRec->GetZ());
+ }
+ if (hitForRec) trackParamAtHit->SetHitForRecPtr(hitForRec);
+ fNTrackHits++;
}
//__________________________________________________________________________
-void AliMUONTrack::SetFitStart(Int_t FitStart)
+void AliMUONTrack::AddHitForRecAtHit(const AliMUONHitForRec *hitForRec)
{
- // Set multiple Coulomb scattering option for track fit "fFitStart"
- // from "FitStart" argument: 0 without, 1 with
- if ((FitStart == 0) || (FitStart == 1)) fFitStart = FitStart;
- // better implementation with enum(vertex, firstHit) ????
- else {
- cout << "ERROR in AliMUONTrack::SetFitStart(FitStart)" << endl;
- cout << "FitStart = " << FitStart << " is neither 0 nor 1" << endl;
- exit(0);
- }
- return;
+ /// Add hitForRec to the array of hitForRec at hit
+ if (!fHitForRecAtHit)
+ fHitForRecAtHit = new TClonesArray("AliMUONHitForRec",10);
+
+ if (!hitForRec)
+ AliFatal("AliMUONTrack::AddHitForRecAtHit: hitForRec == NULL");
+
+ new ((*fHitForRecAtHit)[fHitForRecAtHit->GetEntriesFast()]) AliMUONHitForRec(*hitForRec);
}
//__________________________________________________________________________
-AliMUONTrackParam* AliMUONTrack::GetTrackParamAtFirstHit(void) {
- // Get pointer to TrackParamAtFirstHit
- return ((AliMUONTrackHit*) (fTrackHitsPtr->First()))->GetTrackParam();}
-
- //__________________________________________________________________________
-void AliMUONTrack::RecursiveDump(void)
+void AliMUONTrack::SetVertex(AliMUONHitForRec* vertex)
{
- // Recursive dump of AliMUONTrack, i.e. with dump of TrackHit's and HitForRec's
- AliMUONTrackHit *trackHit;
- AliMUONHitForRec *hitForRec;
- cout << "Recursive dump of Track: " << this << endl;
- // Track
- this->Dump();
- for (Int_t trackHitIndex = 0; trackHitIndex < fNTrackHits; trackHitIndex++) {
- trackHit = (AliMUONTrackHit*) ((*fTrackHitsPtr)[trackHitIndex]);
- // TrackHit
- cout << "TrackHit: " << trackHit << " (index: " << trackHitIndex << ")" << endl;
- trackHit->Dump();
- hitForRec = trackHit->GetHitForRecPtr();
- // HitForRec
- cout << "HitForRec: " << hitForRec << endl;
- hitForRec->Dump();
- }
- return;
+ /// Set the vertex used during the tracking procedure
+ if (!fVertex) fVertex = new AliMUONHitForRec(*vertex);
+ else *fVertex = *vertex;
}
//__________________________________________________________________________
-Int_t AliMUONTrack::HitsInCommon(AliMUONTrack* Track)
+Int_t AliMUONTrack::HitsInCommon(AliMUONTrack* track) const
{
- // Returns the number of hits in common
- // between the current track ("this")
- // and the track pointed to by "Track".
+ /// Returns the number of hits in common between the current track ("this")
+ /// and the track pointed to by "track".
Int_t hitsInCommon = 0;
- AliMUONTrackHit *trackHit1, *trackHit2;
+ AliMUONTrackParam *trackParamAtHit1, *trackParamAtHit2;
// Loop over hits of first track
- trackHit1 = (AliMUONTrackHit*) this->GetTrackHitsPtr()->First();
- while (trackHit1) {
+ trackParamAtHit1 = (AliMUONTrackParam*) this->fTrackParamAtHit->First();
+ while (trackParamAtHit1) {
// Loop over hits of second track
- trackHit2 = (AliMUONTrackHit*) Track->GetTrackHitsPtr()->First();
- while (trackHit2) {
- // Increment "hitsInCommon" if both TrackHits point to the same HitForRec
- if ( (trackHit1->GetHitForRecPtr()) ==
- (trackHit2->GetHitForRecPtr()) ) hitsInCommon++;
- trackHit2 = (AliMUONTrackHit*) Track->GetTrackHitsPtr()->After(trackHit2);
- } // trackHit2
- trackHit1 = (AliMUONTrackHit*) this->GetTrackHitsPtr()->After(trackHit1);
- } // trackHit1
+ trackParamAtHit2 = (AliMUONTrackParam*) track->fTrackParamAtHit->First();
+ while (trackParamAtHit2) {
+ // Increment "hitsInCommon" if both TrackParamAtHits point to the same HitForRec
+ if ((trackParamAtHit1->GetHitForRecPtr()) == (trackParamAtHit2->GetHitForRecPtr())) {
+ hitsInCommon++;
+ break;
+ }
+ trackParamAtHit2 = (AliMUONTrackParam*) track->fTrackParamAtHit->After(trackParamAtHit2);
+ } // trackParamAtHit2
+ trackParamAtHit1 = (AliMUONTrackParam*) this->fTrackParamAtHit->After(trackParamAtHit1);
+ } // trackParamAtHit1
return hitsInCommon;
}
//__________________________________________________________________________
-void AliMUONTrack::Fit()
+Bool_t* AliMUONTrack::CompatibleTrack(AliMUONTrack * track, Double_t sigma2Cut) const
{
- // Fit the current track ("this"),
- // with or without multiple Coulomb scattering according to "fFitMCS",
- // with the number of parameters given by "fFitNParam"
- // (3 if one keeps X and Y fixed in "TrackParam", 5 if one lets them vary),
- // starting, according to "fFitStart",
- // with track parameters at vertex or at the first TrackHit.
- // "fFitMCS", "fFitNParam" and "fFitStart" have to be set before
- // by calling the corresponding Set methods.
- Double_t arg[1], benC, errorParam, invBenP, lower, nonBenC, upper, x, y;
- char parName[50];
- AliMUONTrackParam *trackParam;
- // Check if Minuit is initialized...
- fgFitter = TVirtualFitter::Fitter(this); // add 3 or 5 for the maximum number of parameters ???
- fgFitter->Clear(); // necessary ???? probably yes
- // how to reset the printout number at every fit ????
- // is there any risk to leave it like that ????
- // how to go faster ???? choice of Minuit parameters like EDM ????
- // choice of function to be minimized according to fFitMCS
- if (fFitMCS == 0) fgFitter->SetFCN(TrackChi2);
- else fgFitter->SetFCN(TrackChi2MCS);
- arg[0] = -1;
- fgFitter->ExecuteCommand("SET PRINT", arg, 1); // More printing !!!!
- // Parameters according to "fFitStart"
- // (should be a function to be used at every place where needed ????)
- if (fFitStart == 0) trackParam = &fTrackParamAtVertex;
- else trackParam = this->GetTrackParamAtFirstHit();
- // set first 3 Minuit parameters
- // could be tried with no limits for the search (min=max=0) ????
- fgFitter->SetParameter(0, "InvBenP",
- trackParam->GetInverseBendingMomentum(),
- 0.003, -0.4, 0.4);
- fgFitter->SetParameter(1, "BenS",
- trackParam->GetBendingSlope(),
- 0.001, -0.5, 0.5);
- fgFitter->SetParameter(2, "NonBenS",
- trackParam->GetNonBendingSlope(),
- 0.001, -0.5, 0.5);
- if (fFitNParam == 5) {
- // set last 2 Minuit parameters
- // mandatory limits in Bending to avoid NaN values of parameters
- fgFitter->SetParameter(3, "X",
- trackParam->GetNonBendingCoor(),
- 0.03, -500.0, 500.0);
- // mandatory limits in non Bending to avoid NaN values of parameters
- fgFitter->SetParameter(4, "Y",
- trackParam->GetBendingCoor(),
- 0.10, -500.0, 500.0);
+ /// Return kTRUE/kFALSE for each chamber if hit is compatible or not
+ TClonesArray *hitArray, *thisHitArray;
+ AliMUONHitForRec *hit, *thisHit;
+ Int_t chamberNumber;
+ Float_t deltaZ;
+ Float_t deltaZMax = 1.; // 1 cm
+ Float_t chi2 = 0;
+ Bool_t *nCompHit = new Bool_t[AliMUONConstants::NTrackingCh()];
+
+ for ( Int_t ch = 0; ch < AliMUONConstants::NTrackingCh(); ch++) {
+ nCompHit[ch] = kFALSE;
}
- // search without gradient calculation in the function
- fgFitter->ExecuteCommand("SET NOGRADIENT", arg, 0);
- // minimization
- fgFitter->ExecuteCommand("MINIMIZE", arg, 0);
- // exit from Minuit
- fgFitter->ExecuteCommand("EXIT", arg, 0); // necessary ????
- // get results into "invBenP", "benC", "nonBenC" ("x", "y")
- fgFitter->GetParameter(0, parName, invBenP, errorParam, lower, upper);
- fgFitter->GetParameter(1, parName, benC, errorParam, lower, upper);
- fgFitter->GetParameter(2, parName, nonBenC, errorParam, lower, upper);
- if (fFitNParam == 5) {
- fgFitter->GetParameter(3, parName, x, errorParam, lower, upper);
- fgFitter->GetParameter(4, parName, y, errorParam, lower, upper);
- }
- // result of the fit into track parameters
- trackParam->SetInverseBendingMomentum(invBenP);
- trackParam->SetBendingSlope(benC);
- trackParam->SetNonBendingSlope(nonBenC);
- if (fFitNParam == 5) {
- trackParam->SetNonBendingCoor(x);
- trackParam->SetBendingCoor(y);
- }
- // global result of the fit
- Double_t fedm, errdef;
- Int_t npari, nparx;
- fgFitter->GetStats(fFitFMin, fedm, errdef, npari, nparx);
-}
-
- //__________________________________________________________________________
-void AliMUONTrack::AddSegment(AliMUONSegment* Segment)
-{
- // Add Segment to the track
- AddHitForRec(Segment->GetHitForRec1()); // 1st hit
- AddHitForRec(Segment->GetHitForRec2()); // 2nd hit
-}
- //__________________________________________________________________________
-void AliMUONTrack::AddHitForRec(AliMUONHitForRec* HitForRec)
-{
- // Add HitForRec to the track:
- // actual TrackHit into TClonesArray of TrackHit's for the event;
- // pointer to actual TrackHit in TObjArray of pointers to TrackHit's for the track
- TClonesArray *recTrackHitsPtr = this->fEventReconstructor->GetRecTrackHitsPtr();
- Int_t eventTrackHits = this->fEventReconstructor->GetNRecTrackHits();
- // event
- AliMUONTrackHit* trackHit =
- new ((*recTrackHitsPtr)[eventTrackHits]) AliMUONTrackHit(HitForRec);
- this->fEventReconstructor->SetNRecTrackHits(eventTrackHits + 1);
- // track
- fTrackHitsPtr->Add(trackHit);
- fNTrackHits++;
+ thisHitArray = this->GetHitForRecAtHit();
+
+ hitArray = track->GetHitForRecAtHit();
+
+ for (Int_t iHthis = 0; iHthis < thisHitArray->GetEntriesFast(); iHthis++) {
+ thisHit = (AliMUONHitForRec*) thisHitArray->At(iHthis);
+ chamberNumber = thisHit->GetChamberNumber();
+ if (chamberNumber < 0 || chamberNumber > AliMUONConstants::NTrackingCh()) continue;
+ nCompHit[chamberNumber] = kFALSE;
+ for (Int_t iH = 0; iH < hitArray->GetEntriesFast(); iH++) {
+ hit = (AliMUONHitForRec*) hitArray->At(iH);
+ deltaZ = TMath::Abs(thisHit->GetZ() - hit->GetZ());
+ chi2 = thisHit->NormalizedChi2WithHitForRec(hit,sigma2Cut); // set cut to 4 sigmas
+ if (chi2 < 3. && deltaZ < deltaZMax) {
+ nCompHit[chamberNumber] = kTRUE;
+ break;
+ }
+ }
+ }
+
+ return nCompHit;
}
//__________________________________________________________________________
-void AliMUONTrack::SetTrackParamAtHit(Int_t indexHit, AliMUONTrackParam *TrackParam)
+Double_t AliMUONTrack::TryOneHitForRec(AliMUONHitForRec* hitForRec)
{
- // Set track parameters at TrackHit with index "indexHit"
- // from the track parameters pointed to by "TrackParam".
- AliMUONTrackHit* trackHit = (AliMUONTrackHit*) ((*fTrackHitsPtr)[indexHit]);
- trackHit->SetTrackParam(TrackParam);
+/// Test the compatibility between the track and the hitForRec:
+/// return the corresponding Chi2
+
+ // Get track parameters and their covariances at the z position of hitForRec
+ AliMUONTrackParam extrapTrackParam(fExtrapTrackParam);
+ AliMUONTrackExtrap::ExtrapToZCov(&extrapTrackParam, hitForRec->GetZ());
+
+ // Set differences between trackParam and hitForRec in the bending and non bending directions
+ TMatrixD dPos(2,1);
+ dPos(0,0) = hitForRec->GetNonBendingCoor() - extrapTrackParam.GetNonBendingCoor();
+ dPos(1,0) = hitForRec->GetBendingCoor() - extrapTrackParam.GetBendingCoor();
+
+ // quick test of hitForRec compatibility within a wide road of x*y = 10*1 cm2 to save computing time
+ if (TMath::Abs(dPos(0,0)) > fgkMaxTrackingDistanceNonBending ||
+ TMath::Abs(dPos(1,0)) > fgkMaxTrackingDistanceBending) return 1.e10;
+
+ // Set the error matrix from trackParam covariances and hitForRec resolution
+ TMatrixD* paramCov = extrapTrackParam.GetCovariances();
+ TMatrixD error(2,2);
+ error(0,0) = (*paramCov)(0,0) + hitForRec->GetNonBendingReso2();
+ error(0,1) = (*paramCov)(0,2);
+ error(1,0) = (*paramCov)(2,0);
+ error(1,1) = (*paramCov)(2,2) + hitForRec->GetBendingReso2();
+
+ // Invert the error matrix for Chi2 calculation
+ if (error.Determinant() != 0) {
+ error.Invert();
+ } else {
+ AliWarning(" Determinant error=0");
+ return 1.e10;
+ }
+
+ // Compute the Chi2 value
+ TMatrixD tmp(error,TMatrixD::kMult,dPos);
+ TMatrixD result(dPos,TMatrixD::kTransposeMult,tmp);
+
+ return result(0,0);
+
}
//__________________________________________________________________________
-void AliMUONTrack::SetTrackParamAtVertex()
+Double_t AliMUONTrack::TryTwoHitForRec(AliMUONHitForRec* hitForRec1, AliMUONHitForRec* hitForRec2)
{
- // Set track parameters at vertex.
- // TrackHit's are assumed to be only in stations(1..) 4 and 5,
- // and sorted according to increasing Z..
- // Parameters are calculated from information in HitForRec's
- // of first and last TrackHit's.
- AliMUONTrackParam *trackParam =
- &fTrackParamAtVertex; // pointer to track parameters
- // Pointer to HitForRec of first TrackHit
- AliMUONHitForRec *firstHit =
- ((AliMUONTrackHit*) (fTrackHitsPtr->First()))->GetHitForRecPtr();
- // Pointer to HitForRec of last TrackHit
- AliMUONHitForRec *lastHit =
- ((AliMUONTrackHit*) (fTrackHitsPtr->Last()))->GetHitForRecPtr();
- // Z difference between first and last hits
- Double_t deltaZ = firstHit->GetZ() - lastHit->GetZ();
- // bending slope in stations(1..) 4 and 5
- Double_t bendingSlope =
- (firstHit->GetBendingCoor() - lastHit->GetBendingCoor()) / deltaZ;
- trackParam->SetBendingSlope(bendingSlope);
- // impact parameter
- Double_t impactParam =
- firstHit->GetBendingCoor() - bendingSlope * firstHit->GetZ(); // same if from firstHit and lastHit ????
- // signed bending momentum
- Double_t signedBendingMomentum =
- fEventReconstructor->GetBendingMomentumFromImpactParam(impactParam);
- trackParam->SetInverseBendingMomentum(1.0 / signedBendingMomentum);
- // bending slope at vertex
- trackParam->
- SetBendingSlope(bendingSlope +
- impactParam / fEventReconstructor->GetSimpleBPosition());
- // non bending slope
- Double_t nonBendingSlope =
- (firstHit->GetNonBendingCoor() - lastHit->GetNonBendingCoor()) / deltaZ;
- trackParam->SetNonBendingSlope(nonBendingSlope);
- // vertex coordinates at (0,0,0)
- trackParam->SetZ(0.0);
- trackParam->SetBendingCoor(0.0);
- trackParam->SetNonBendingCoor(0.0);
+/// Test the compatibility between the track and the 2 hitForRec together:
+/// return the corresponding Chi2 accounting for covariances between the 2 hitForRec
+
+ // Get track parameters and their covariances at the z position of the first hitForRec
+ AliMUONTrackParam extrapTrackParam1(fExtrapTrackParam);
+ AliMUONTrackExtrap::ExtrapToZCov(&extrapTrackParam1, hitForRec1->GetZ());
+
+ // Get track parameters at second hitForRec
+ AliMUONTrackParam extrapTrackParam2(extrapTrackParam1);
+ AliMUONTrackExtrap::ExtrapToZ(&extrapTrackParam2, hitForRec2->GetZ());
+
+ // Set differences between track and the 2 hitForRec in the bending and non bending directions
+ TMatrixD dPos(4,1);
+ dPos(0,0) = hitForRec1->GetNonBendingCoor() - extrapTrackParam1.GetNonBendingCoor();
+ dPos(1,0) = hitForRec1->GetBendingCoor() - extrapTrackParam1.GetBendingCoor();
+ dPos(2,0) = hitForRec2->GetNonBendingCoor() - extrapTrackParam2.GetNonBendingCoor();
+ dPos(3,0) = hitForRec2->GetBendingCoor() - extrapTrackParam2.GetBendingCoor();
+
+ // quick tests of hitForRec compatibility within a wide road of x*y = 1*1 cm2 to save computing time
+ if (TMath::Abs(dPos(0,0)) > fgkMaxTrackingDistanceNonBending ||
+ TMath::Abs(dPos(1,0)) > fgkMaxTrackingDistanceBending ||
+ TMath::Abs(dPos(2,0)) > fgkMaxTrackingDistanceNonBending ||
+ TMath::Abs(dPos(3,0)) > fgkMaxTrackingDistanceBending) return 1.e10;
+
+ // Calculate the error matrix from the track parameter covariances at first hitForRec
+ TMatrixD error(4,4);
+ error = 0.;
+ if (extrapTrackParam1.CovariancesExist()) {
+ // Get the pointer to the parameter covariance matrix at first hitForRec
+ TMatrixD* paramCov = extrapTrackParam1.GetCovariances();
+
+ // Save track parameters at first hitForRec
+ AliMUONTrackParam extrapTrackParam1Save(extrapTrackParam1);
+ Double_t nonBendingCoor1 = extrapTrackParam1Save.GetNonBendingCoor();
+ Double_t nonBendingSlope1 = extrapTrackParam1Save.GetNonBendingSlope();
+ Double_t bendingCoor1 = extrapTrackParam1Save.GetBendingCoor();
+ Double_t bendingSlope1 = extrapTrackParam1Save.GetBendingSlope();
+ Double_t inverseBendingMomentum1 = extrapTrackParam1Save.GetInverseBendingMomentum();
+ Double_t z1 = extrapTrackParam1Save.GetZ();
+
+ // Save track coordinates at second hitForRec
+ Double_t nonBendingCoor2 = extrapTrackParam2.GetNonBendingCoor();
+ Double_t bendingCoor2 = extrapTrackParam2.GetBendingCoor();
+
+ // Calculate the jacobian related to the transformation between track parameters
+ // at first hitForRec and track coordinates at the 2 hitForRec z-position
+ TMatrixD jacob(4,5);
+ jacob = 0.;
+ // first derivative at the first hitForRec:
+ jacob(0,0) = 1.; // dx1/dx
+ jacob(1,2) = 1.; // dy1/dy
+ // first derivative at the second hitForRec:
+ Double_t dParam[5];
+ for (Int_t i=0; i<5; i++) {
+ // Skip jacobian calculation for parameters with no associated error
+ if ((*paramCov)(i,i) == 0.) continue;
+ // Small variation of parameter i only
+ for (Int_t j=0; j<5; j++) {
+ if (j==i) {
+ dParam[j] = TMath::Sqrt((*paramCov)(i,i));
+ if (j == 4) dParam[j] *= TMath::Sign(1.,-inverseBendingMomentum1); // variation always in the same direction
+ } else dParam[j] = 0.;
+ }
+ // Set new track parameters at first hitForRec
+ extrapTrackParam1Save.SetNonBendingCoor (nonBendingCoor1 + dParam[0]);
+ extrapTrackParam1Save.SetNonBendingSlope (nonBendingSlope1 + dParam[1]);
+ extrapTrackParam1Save.SetBendingCoor (bendingCoor1 + dParam[2]);
+ extrapTrackParam1Save.SetBendingSlope (bendingSlope1 + dParam[3]);
+ extrapTrackParam1Save.SetInverseBendingMomentum(inverseBendingMomentum1 + dParam[4]);
+ extrapTrackParam1Save.SetZ (z1);
+ // Extrapolate new track parameters to the z position of the second hitForRec
+ AliMUONTrackExtrap::ExtrapToZ(&extrapTrackParam1Save,hitForRec2->GetZ());
+ // Calculate the jacobian
+ jacob(2,i) = (extrapTrackParam1Save.GetNonBendingCoor() - nonBendingCoor2) / dParam[i]; // dx2/dParami
+ jacob(3,i) = (extrapTrackParam1Save.GetBendingCoor() - bendingCoor2 ) / dParam[i]; // dy2/dParami
+ }
+
+ // Calculate the error matrix
+ TMatrixD tmp((*paramCov),TMatrixD::kMultTranspose,jacob);
+ error = TMatrixD(jacob,TMatrixD::kMult,tmp);
+ }
+
+ // Add hitForRec resolution to the error matrix
+ error(0,0) += hitForRec1->GetNonBendingReso2();
+ error(1,1) += hitForRec1->GetBendingReso2();
+ error(2,2) += hitForRec2->GetNonBendingReso2();
+ error(3,3) += hitForRec2->GetBendingReso2();
+
+ // invert the error matrix for Chi2 calculation
+ if (error.Determinant() != 0) {
+ error.Invert();
+ } else {
+ AliWarning(" Determinant error=0");
+ return 1.e10;
+ }
+
+ // Compute the Chi2 value
+ TMatrixD tmp2(error,TMatrixD::kMult,dPos);
+ TMatrixD result(dPos,TMatrixD::kTransposeMult,tmp2);
+
+ return result(0,0);
+
}
//__________________________________________________________________________
-void TrackChi2(Int_t &NParam, Double_t *Gradient, Double_t &Chi2, Double_t *Param, Int_t Flag)
+void AliMUONTrack::RecursiveDump(void) const
{
- // Return the "Chi2" to be minimized with Minuit for track fitting,
- // with "NParam" parameters
- // and their current values in array pointed to by "Param".
- // Assumes that the track hits are sorted according to increasing Z.
- // Track parameters at each TrackHit are updated accordingly.
- // Multiple Coulomb scattering is not taken into account
- AliMUONTrack *trackBeingFitted;
- AliMUONTrackHit* hit;
- AliMUONTrackParam param1;
- Int_t hitNumber;
- Double_t zHit;
- Chi2 = 0.0; // initialize Chi2
- // copy of track parameters to be fitted
- trackBeingFitted = (AliMUONTrack*) AliMUONTrack::Fitter()->GetObjectFit();
- if (trackBeingFitted->GetFitStart() == 0)
- param1 = *(trackBeingFitted->GetTrackParamAtVertex());
- else param1 = *(trackBeingFitted->GetTrackParamAtFirstHit());
- // Minuit parameters to be fitted into this copy
- param1.SetInverseBendingMomentum(Param[0]);
- param1.SetBendingSlope(Param[1]);
- param1.SetNonBendingSlope(Param[2]);
- if (NParam == 5) {
- param1.SetNonBendingCoor(Param[3]);
- param1.SetBendingCoor(Param[4]);
- }
- // Follow track through all planes of track hits
- for (hitNumber = 0; hitNumber < trackBeingFitted->GetNTrackHits(); hitNumber++) {
- hit = (AliMUONTrackHit*) (*(trackBeingFitted->GetTrackHitsPtr()))[hitNumber];
- zHit = hit->GetHitForRecPtr()->GetZ();
- // do something special if 2 hits with same Z ????
- // security against infinite loop ????
- (¶m1)->ExtrapToZ(zHit); // extrapolation
- hit->SetTrackParam(¶m1);
- // Increment Chi2
- // done hit per hit, with hit resolution,
- // and not with point and angle like in "reco_muon.F" !!!!
- // Needs to add multiple scattering contribution ????
- Double_t dX =
- hit->GetHitForRecPtr()->GetNonBendingCoor() - (¶m1)->GetNonBendingCoor();
- Double_t dY =
- hit->GetHitForRecPtr()->GetBendingCoor() - (¶m1)->GetBendingCoor();
- Chi2 =
- Chi2 +
- dX * dX / hit->GetHitForRecPtr()->GetNonBendingReso2() +
- dY * dY / hit->GetHitForRecPtr()->GetBendingReso2();
+ /// Recursive dump of AliMUONTrack, i.e. with dump of TrackParamAtHit's and attached HitForRec's
+ AliMUONTrackParam *trackParamAtHit;
+ AliMUONHitForRec *hitForRec;
+ cout << "Recursive dump of Track: " << this << endl;
+ // Track
+ this->Dump();
+ for (Int_t trackHitIndex = 0; trackHitIndex < fNTrackHits; trackHitIndex++) {
+ trackParamAtHit = (AliMUONTrackParam*) ((*fTrackParamAtHit)[trackHitIndex]);
+ // TrackHit
+ cout << "TrackParamAtHit: " << trackParamAtHit << " (index: " << trackHitIndex << ")" << endl;
+ trackParamAtHit->Dump();
+ hitForRec = trackParamAtHit->GetHitForRecPtr();
+ // HitForRec
+ cout << "HitForRec: " << hitForRec << endl;
+ hitForRec->Dump();
}
+ return;
}
-
- //__________________________________________________________________________
-void TrackChi2MCS(Int_t &NParam, Double_t *Gradient, Double_t &Chi2, Double_t *Param, Int_t Flag)
+
+//_____________________________________________-
+void AliMUONTrack::Print(Option_t* opt) const
{
- // Return the "Chi2" to be minimized with Minuit for track fitting,
- // with "NParam" parameters
- // and their current values in array pointed to by "Param".
- // Assumes that the track hits are sorted according to increasing Z.
- // Track parameters at each TrackHit are updated accordingly.
- // Multiple Coulomb scattering is taken into account with covariance matrix.
- AliMUONTrack *trackBeingFitted;
- AliMUONTrackParam param1;
- Chi2 = 0.0; // initialize Chi2
- // copy of track parameters to be fitted
- trackBeingFitted = (AliMUONTrack*) AliMUONTrack::Fitter()->GetObjectFit();
- if (trackBeingFitted->GetFitStart() == 0)
- param1 = *(trackBeingFitted->GetTrackParamAtVertex());
- else param1 = *(trackBeingFitted->GetTrackParamAtFirstHit());
- // Minuit parameters to be fitted into this copy
- param1.SetInverseBendingMomentum(Param[0]);
- param1.SetBendingSlope(Param[1]);
- param1.SetNonBendingSlope(Param[2]);
- if (NParam == 5) {
- param1.SetNonBendingCoor(Param[3]);
- param1.SetBendingCoor(Param[4]);
+ /// Printing Track information
+ /// "full" option for printing all the information about the track
+ TString sopt(opt);
+ sopt.ToUpper();
+
+ if ( sopt.Contains("FULL") ) {
+ cout << "<AliMUONTrack> No.Clusters=" << setw(2) << GetNTrackHits() <<
+ // ", Bending P="<< setw(8) << setprecision(5) << 1./GetInverseBendingMomentum() <<
+ //", NonBendSlope=" << setw(8) << setprecision(5) << GetNonBendingSlope()*180./TMath::Pi() <<
+ //", BendSlope=" << setw(8) << setprecision(5) << GetBendingSlope()*180./TMath::Pi() <<
+ ", Match2Trig=" << setw(1) << GetMatchTrigger() <<
+ ", LoTrgNum=" << setw(3) << GetLoTrgNum() <<
+ ", Chi2-tracking-trigger=" << setw(8) << setprecision(5) << GetChi2MatchTrigger() << endl ;
+ GetTrackParamAtHit()->First()->Print("full");
}
+ else {
+ cout << "<AliMUONTrack>";
+ GetTrackParamAtHit()->First()->Print("");
- AliMUONTrackHit *hit;
- Bool_t goodDeterminant;
- Int_t chCurrent, chPrev, hitNumber, hitNumber1, hitNumber2, hitNumber3;
- Double_t z, z1, z2, z3;
- AliMUONTrackHit *hit1, *hit2, *hit3;
- Double_t hbc1, hbc2, pbc1, pbc2;
- Double_t hnbc1, hnbc2, pnbc1, pnbc2;
- Int_t numberOfHit = trackBeingFitted->GetNTrackHits();
- TMatrixD *covBending = new TMatrixD(numberOfHit, numberOfHit);
- TMatrixD *covNonBending = new TMatrixD(numberOfHit, numberOfHit);
- Double_t *msa2 = new Double_t[numberOfHit];
-
- // Predicted coordinates and multiple scattering angles are first calculated
- for (hitNumber = 0; hitNumber < numberOfHit; hitNumber++) {
- hit = (AliMUONTrackHit*) (*(trackBeingFitted->GetTrackHitsPtr()))[hitNumber];
- z = hit->GetHitForRecPtr()->GetZ();
- // do something special if 2 hits with same Z ????
- // security against infinite loop ????
- (¶m1)->ExtrapToZ(z); // extrapolation
- hit->SetTrackParam(¶m1);
- // square of multiple scattering angle at current hit, with one chamber
- msa2[hitNumber] = MultipleScatteringAngle2(hit);
- // correction for eventual missing hits or multiple hits in a chamber,
- // according to the number of chambers
- // between the current hit and the previous one
- chCurrent = hit->GetHitForRecPtr()->GetChamberNumber();
- if (hitNumber > 0) msa2[hitNumber] = msa2[hitNumber] * (chCurrent - chPrev);
- chPrev = chCurrent;
}
-
- // Calculates the covariance matrix
- for (hitNumber1 = 0; hitNumber1 < numberOfHit; hitNumber1++) {
- hit1 = (AliMUONTrackHit*) (*(trackBeingFitted->GetTrackHitsPtr()))[hitNumber1];
- z1 = hit1->GetHitForRecPtr()->GetZ();
- for (hitNumber2 = hitNumber1; hitNumber2 < numberOfHit; hitNumber2++) {
- hit2 = (AliMUONTrackHit*) (*(trackBeingFitted->GetTrackHitsPtr()))[hitNumber2];
- z2 = hit2->GetHitForRecPtr()->GetZ();
- // initialization to 0 (diagonal plus upper triangular part)
- (*covBending)(hitNumber2, hitNumber1) = 0.0;
- // contribution from multiple scattering in bending plane:
- // loop over upstream hits
- for (hitNumber3 = 0; hitNumber3 < hitNumber1; hitNumber3++) {
- hit3 = (AliMUONTrackHit*)
- (*(trackBeingFitted->GetTrackHitsPtr()))[hitNumber3];
- z3 = hit3->GetHitForRecPtr()->GetZ();
- (*covBending)(hitNumber2, hitNumber1) =
- (*covBending)(hitNumber2, hitNumber1) +
- ((z1 - z3) * (z2 - z3) * msa2[hitNumber3]);
- }
- // equal contribution from multiple scattering in non bending plane
- (*covNonBending)(hitNumber2, hitNumber1) =
- (*covBending)(hitNumber2, hitNumber1);
- if (hitNumber1 == hitNumber2) {
- // Diagonal elements: add contribution from position measurements
- // in bending plane
- (*covBending)(hitNumber2, hitNumber1) =
- (*covBending)(hitNumber2, hitNumber1) +
- hit1->GetHitForRecPtr()->GetBendingReso2();
- // and in non bending plane
- (*covNonBending)(hitNumber2, hitNumber1) =
- (*covNonBending)(hitNumber2, hitNumber1) +
- hit1->GetHitForRecPtr()->GetNonBendingReso2();
- }
- else {
- // Non diagonal elements: symmetrization
- // for bending plane
- (*covBending)(hitNumber1, hitNumber2) =
- (*covBending)(hitNumber2, hitNumber1);
- // and non bending plane
- (*covNonBending)(hitNumber1, hitNumber2) =
- (*covNonBending)(hitNumber2, hitNumber1);
- }
- } // for (hitNumber2 = hitNumber1;...
- } // for (hitNumber1 = 0;...
- // Normalization of covariance matrices
- Double_t normCovBending2 = covBending->E2Norm();
- Double_t normCovNonBending2 = covNonBending->E2Norm();
- (*covBending) *= 1/normCovBending2;
- (*covNonBending) *= 1/normCovNonBending2;
-// if (covBending->Determinant() < 1.e-33) {
-// printf(" *** covBending *** \n");
-// covBending->Print();
-// printf(" *** covNonBending *** \n");
-// covNonBending->Print();
-// cout << " number of hits " << numberOfHit << endl;
-// cout << "Momentum = " << 1/Param[0] <<endl;
-// cout << "normCovBending = " << normCovBending2 << endl;
-// cout << "normCovNonBending = " << normCovNonBending2 << endl;
-// exit(0);
-// }
- // Inverts covariance matrix
- goodDeterminant = kTRUE;
- // check whether the Invert method returns flag if matrix cannot be inverted,
- // and do not calculate the Determinant in that case !!!!
- if (covBending->Determinant() != 0) {
- covBending->Invert();
- } else {
- goodDeterminant = kFALSE;
- cout << "Warning in ChiMCS Determinant Bending=0: " << endl;
- }
- if (covNonBending->Determinant() != 0) {
- covNonBending->Invert();
- } else {
- goodDeterminant = kFALSE;
- cout << "Warning in ChiMCS Determinant non Bending=0: " << endl;
- }
-
- // It would be worth trying to calculate the inverse of the covariance matrix
- // only once per fit, since it cannot change much in principle,
- // and it would save a lot of computing time !!!!
-
- // Calculates Chi2
- if (goodDeterminant) {
- // with Multiple Scattering if inversion correct
- // Inverse matrices without normalization
- (*covBending) *= 1/normCovBending2;
- (*covNonBending) *= 1/normCovNonBending2;
- for (hitNumber1 = 0; hitNumber1 < numberOfHit ; hitNumber1++) {
- hit1 = (AliMUONTrackHit*) (*(trackBeingFitted->GetTrackHitsPtr()))[hitNumber1];
- hbc1 = hit1->GetHitForRecPtr()->GetBendingCoor();
- pbc1 = hit1->GetTrackParam()->GetBendingCoor();
- hnbc1 = hit1->GetHitForRecPtr()->GetNonBendingCoor();
- pnbc1 = hit1->GetTrackParam()->GetNonBendingCoor();
- for (hitNumber2 = 0; hitNumber2 < numberOfHit; hitNumber2++) {
- hit2 = (AliMUONTrackHit*)
- (*(trackBeingFitted->GetTrackHitsPtr()))[hitNumber2];
- hbc2 = hit2->GetHitForRecPtr()->GetBendingCoor();
- pbc2 = hit2->GetTrackParam()->GetBendingCoor();
- hnbc2 = hit2->GetHitForRecPtr()->GetNonBendingCoor();
- pnbc2 = hit2->GetTrackParam()->GetNonBendingCoor();
- Chi2 = Chi2 +
- ((*covBending)(hitNumber2, hitNumber1) *
- (hbc1 - pbc1) * (hbc2 - pbc2)) +
- ((*covNonBending)(hitNumber2, hitNumber1) *
- (hnbc1 - pnbc1) * (hnbc2 - pnbc2));
- }
- }
- } else {
- // without Multiple Scattering if inversion impossible
- for (hitNumber1 = 0; hitNumber1 < numberOfHit ; hitNumber1++) {
- hit1 = (AliMUONTrackHit*) (*(trackBeingFitted->GetTrackHitsPtr()))[hitNumber1];
- hbc1 = hit1->GetHitForRecPtr()->GetBendingCoor();
- pbc1 = hit1->GetTrackParam()->GetBendingCoor();
- hnbc1 = hit1->GetHitForRecPtr()->GetNonBendingCoor();
- pnbc1 = hit1->GetTrackParam()->GetNonBendingCoor();
- Chi2 = Chi2 +
- ((hbc1 - pbc1) * (hbc1 - pbc1) /
- hit1->GetHitForRecPtr()->GetBendingReso2()) +
- ((hnbc1 - pnbc1) * (hnbc1 - pnbc1) /
- hit1->GetHitForRecPtr()->GetNonBendingReso2());
- }
- }
-
- delete covBending;
- delete covNonBending;
- delete [] msa2;
-}
-
-Double_t MultipleScatteringAngle2(AliMUONTrackHit *TrackHit)
-{
- // Returns square of multiple Coulomb scattering angle
- // at TrackHit pointed to by "TrackHit"
- Double_t slopeBending, slopeNonBending, radiationLength, inverseBendingMomentum2, inverseTotalMomentum2;
- Double_t varMultipleScatteringAngle;
- AliMUONTrack *trackBeingFitted = (AliMUONTrack*) AliMUONTrack::Fitter()->GetObjectFit();
- AliMUONTrackParam *param = TrackHit->GetTrackParam();
- // Better implementation in AliMUONTrack class ????
- slopeBending = param->GetBendingSlope();
- slopeNonBending = param->GetNonBendingSlope();
- // thickness in radiation length for the current track,
- // taking local angle into account
- radiationLength =
- trackBeingFitted->GetEventReconstructor()->GetChamberThicknessInX0() *
- TMath::Sqrt(1.0 +
- slopeBending * slopeBending + slopeNonBending * slopeNonBending);
- inverseBendingMomentum2 =
- param->GetInverseBendingMomentum() * param->GetInverseBendingMomentum();
- inverseTotalMomentum2 =
- inverseBendingMomentum2 * (1.0 + slopeBending * slopeBending) /
- (1.0 + slopeBending *slopeBending + slopeNonBending * slopeNonBending);
- varMultipleScatteringAngle = 0.0136 * (1.0 + 0.038 * TMath::Log(radiationLength));
- // The velocity is assumed to be 1 !!!!
- varMultipleScatteringAngle = inverseTotalMomentum2 * radiationLength *
- varMultipleScatteringAngle * varMultipleScatteringAngle;
- return varMultipleScatteringAngle;
}