1 /**************************************************************************
2 * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
4 * Author: The ALICE Off-line Project. *
5 * Contributors are mentioned in the code where appropriate. *
7 * Permission to use, copy, modify and distribute this software and its *
8 * documentation strictly for non-commercial purposes is hereby granted *
9 * without fee, provided that the above copyright notice appears in all *
10 * copies and that both the copyright notice and this permission notice *
11 * appear in the supporting documentation. The authors make no claims *
12 * about the suitability of this software for any purpose. It is *
13 * provided "as is" without express or implied warranty. *
14 **************************************************************************/
18 //-----------------------------------------------------------------------------
21 // Reconstructed track in ALICE dimuon spectrometer
22 //-----------------------------------------------------------------------------
24 #include "AliMUONTrack.h"
26 #include "AliMUONTrackParam.h"
27 #include "AliMUONRawClusterV2.h"
28 #include "AliMUONObjectPair.h"
29 #include "AliMUONConstants.h"
30 #include "AliMUONTrackExtrap.h"
33 #include "AliESDMuonTrack.h"
34 #include "AliESDMuonCluster.h"
39 #include <Riostream.h>
42 ClassImp(AliMUONTrack) // Class implementation in ROOT context
45 //__________________________________________________________________________
46 AliMUONTrack::AliMUONTrack()
48 fTrackParamAtCluster(new TClonesArray("AliMUONTrackParam",10)),
49 fFitWithVertex(kFALSE),
52 fClusterWeightsNonBending(0x0),
53 fClusterWeightsBending(0x0),
58 fChi2MatchTrigger(0.),
60 fTrackParamAtVertex(0x0),
61 fHitsPatternInTrigCh(0),
64 /// Default constructor
65 fTrackParamAtCluster->SetOwner(kTRUE);
66 fVertexErrXY2[0] = 0.;
67 fVertexErrXY2[1] = 0.;
70 //__________________________________________________________________________
71 AliMUONTrack::AliMUONTrack(AliMUONObjectPair *segment)
73 fTrackParamAtCluster(new TClonesArray("AliMUONTrackParam",10)),
74 fFitWithVertex(kFALSE),
77 fClusterWeightsNonBending(0x0),
78 fClusterWeightsBending(0x0),
83 fChi2MatchTrigger(0.),
85 fTrackParamAtVertex(0x0),
86 fHitsPatternInTrigCh(0),
89 /// Constructor from two clusters
90 fTrackParamAtCluster->SetOwner(kTRUE);
92 fVertexErrXY2[0] = 0.;
93 fVertexErrXY2[1] = 0.;
95 // Pointers to clusters from the segment
96 AliMUONVCluster* cluster1 = (AliMUONVCluster*) segment->First();
97 AliMUONVCluster* cluster2 = (AliMUONVCluster*) segment->Second();
99 // check sorting in -Z (spectro z<0)
100 if (cluster1->GetZ() < cluster2->GetZ()) {
102 cluster2 = (AliMUONVCluster*) segment->First();
105 // order the clusters into the track according to the station the segment belong to
106 //(the cluster first attached is the one from which we will start the tracking procedure)
107 AliMUONVCluster *firstCluster, *lastCluster;
108 if (cluster1->GetChamberId() == 8) {
109 firstCluster = cluster1;
110 lastCluster = cluster2;
112 firstCluster = cluster2;
113 lastCluster = cluster1;
116 // Compute track parameters
117 Double_t z1 = firstCluster->GetZ();
118 Double_t z2 = lastCluster->GetZ();
119 Double_t dZ = z1 - z2;
121 Double_t nonBendingCoor1 = firstCluster->GetX();
122 Double_t nonBendingCoor2 = lastCluster->GetX();
123 Double_t nonBendingSlope = (nonBendingCoor1 - nonBendingCoor2) / dZ;
125 Double_t bendingCoor1 = firstCluster->GetY();
126 Double_t bendingCoor2 = lastCluster->GetY();
127 Double_t bendingSlope = (bendingCoor1 - bendingCoor2) / dZ;
128 // Inverse bending momentum
129 Double_t bendingImpact = bendingCoor1 - z1 * bendingSlope;
130 Double_t inverseBendingMomentum = 1. / AliMUONTrackExtrap::GetBendingMomentumFromImpactParam(bendingImpact);
133 // Set track parameters at first cluster
134 AliMUONTrackParam trackParamAtFirstCluster;
135 trackParamAtFirstCluster.SetZ(z1);
136 trackParamAtFirstCluster.SetNonBendingCoor(nonBendingCoor1);
137 trackParamAtFirstCluster.SetNonBendingSlope(nonBendingSlope);
138 trackParamAtFirstCluster.SetBendingCoor(bendingCoor1);
139 trackParamAtFirstCluster.SetBendingSlope(bendingSlope);
140 trackParamAtFirstCluster.SetInverseBendingMomentum(inverseBendingMomentum);
143 // Set track parameters at last cluster
144 AliMUONTrackParam trackParamAtLastCluster;
145 trackParamAtLastCluster.SetZ(z2);
146 trackParamAtLastCluster.SetNonBendingCoor(nonBendingCoor2);
147 trackParamAtLastCluster.SetNonBendingSlope(nonBendingSlope);
148 trackParamAtLastCluster.SetBendingCoor(bendingCoor2);
149 trackParamAtLastCluster.SetBendingSlope(bendingSlope);
150 trackParamAtLastCluster.SetInverseBendingMomentum(inverseBendingMomentum);
153 // Compute and set track parameters covariances at first cluster
154 TMatrixD paramCov1(5,5);
157 paramCov1(0,0) = firstCluster->GetErrX2();
158 paramCov1(0,1) = firstCluster->GetErrX2() / dZ;
159 paramCov1(1,0) = paramCov1(0,1);
160 paramCov1(1,1) = ( firstCluster->GetErrX2() + lastCluster->GetErrX2() ) / dZ / dZ;
162 paramCov1(2,2) = firstCluster->GetErrY2();
163 paramCov1(2,3) = firstCluster->GetErrY2() / dZ;
164 paramCov1(3,2) = paramCov1(2,3);
165 paramCov1(3,3) = ( firstCluster->GetErrY2() + lastCluster->GetErrY2() ) / dZ / dZ;
166 // Inverse bending momentum (50% error)
167 paramCov1(4,4) = 0.5*inverseBendingMomentum * 0.5*inverseBendingMomentum;
169 trackParamAtFirstCluster.SetCovariances(paramCov1);
172 // Compute and set track parameters covariances at last cluster (as if the first cluster did not exist)
173 TMatrixD paramCov2(5,5);
176 paramCov2(0,0) = paramCov1(0,0);
177 paramCov2(1,1) = 100.*paramCov1(1,1);
179 paramCov2(2,2) = paramCov1(2,2);
180 paramCov2(3,3) = 100.*paramCov1(3,3);
181 // Inverse bending momentum
182 paramCov2(4,4) = paramCov1(4,4);
184 trackParamAtLastCluster.SetCovariances(paramCov2);
186 // Flag clusters as being removable
187 trackParamAtFirstCluster.SetRemovable(kTRUE);
188 trackParamAtLastCluster.SetRemovable(kTRUE);
190 // Add track parameters at clusters
191 AddTrackParamAtCluster(trackParamAtFirstCluster,*firstCluster);
192 AddTrackParamAtCluster(trackParamAtLastCluster,*lastCluster);
196 //__________________________________________________________________________
197 AliMUONTrack::AliMUONTrack(AliESDMuonTrack &esdTrack)
199 fTrackParamAtCluster(new TClonesArray("AliMUONTrackParam",10)),
200 fFitWithVertex(kFALSE),
203 fClusterWeightsNonBending(0x0),
204 fClusterWeightsBending(0x0),
205 fGlobalChi2(esdTrack.GetChi2()),
207 fMatchTrigger(esdTrack.GetMatchTrigger()),
209 fChi2MatchTrigger(esdTrack.GetChi2MatchTrigger()),
211 fTrackParamAtVertex(new AliMUONTrackParam()),
212 fHitsPatternInTrigCh(esdTrack.GetHitsPatternInTrigCh()),
215 /// Constructor from ESD muon track
216 /// Compute track parameters and covariances at each cluster if available
217 /// or store parameters and covariances at first (fake) cluster only if not
219 fTrackParamAtCluster->SetOwner(kTRUE);
221 fVertexErrXY2[0] = 0.;
222 fVertexErrXY2[1] = 0.;
225 SetLocalTrigger(esdTrack.LoCircuit(), esdTrack.LoStripX(), esdTrack.LoStripY(),
226 esdTrack.LoDev(), esdTrack.LoLpt(), esdTrack.LoHpt());
228 // track parameters at vertex
229 fTrackParamAtVertex->GetParamFrom(esdTrack);
231 // track parameters at first cluster
232 AliMUONTrackParam param;
233 param.GetParamFromUncorrected(esdTrack);
234 param.GetCovFrom(esdTrack);
236 // fill fTrackParamAtCluster with track parameters at each cluster if available
237 if(esdTrack.ClustersStored()) {
239 // loop over ESD clusters
240 AliESDMuonCluster *esdCluster = (AliESDMuonCluster*) esdTrack.GetClusters().First();
243 // copy cluster information
244 AliMUONRawClusterV2 cluster(*esdCluster);
246 // only set the Z parameter to avoid error in the AddTrackParamAtCluster(...) method
247 param.SetZ(cluster.GetZ());
249 // add common track parameters at current cluster
250 AddTrackParamAtCluster(param, cluster, kTRUE);
252 esdCluster = (AliESDMuonCluster*) esdTrack.GetClusters().After(esdCluster);
255 // sort array of track parameters at clusters
256 fTrackParamAtCluster->Sort();
258 // check that parameters stored in ESD are parameters at the most upstream cluster
259 // (convert Z position values to Float_t because of Double32_t in ESD track)
260 AliMUONTrackParam *firstTrackParam = (AliMUONTrackParam*) fTrackParamAtCluster->First();
261 if (((Float_t)firstTrackParam->GetZ()) != ((Float_t)esdTrack.GetZUncorrected())) {
263 AliError("track parameters are not given at the most upstream stored cluster");
264 fTrackParamAtCluster->Clear("C");
268 // Compute track parameters and covariances at each cluster from info at the first one
269 UpdateCovTrackParamAtCluster();
275 // fill fTrackParamAtCluster with track parameters at first (fake) cluster
276 // if first cluster not found or clusters not available
277 if (GetNClusters() == 0) {
279 // get number of the first hit chamber (according to the MUONClusterMap if not empty)
281 if (esdTrack.GetMuonClusterMap() != 0) while (!esdTrack.IsInMuonClusterMap(firstCh)) firstCh++;
282 else firstCh = AliMUONConstants::ChamberNumber(param.GetZ());
284 // produce fake cluster at this chamber
285 AliMUONRawClusterV2 fakeCluster(firstCh, 0, 0);
286 fakeCluster.SetXYZ(param.GetNonBendingCoor(), param.GetBendingCoor(), param.GetZ());
287 fakeCluster.SetErrXY(0., 0.);
289 // add track parameters at first (fake) cluster
290 AddTrackParamAtCluster(param, fakeCluster, kTRUE);
296 //__________________________________________________________________________
297 AliMUONTrack::AliMUONTrack(const AliMUONTrack& track)
299 fTrackParamAtCluster(new TClonesArray("AliMUONTrackParam",10)),
300 fFitWithVertex(track.fFitWithVertex),
302 fFitWithMCS(track.fFitWithMCS),
303 fClusterWeightsNonBending(0x0),
304 fClusterWeightsBending(0x0),
305 fGlobalChi2(track.fGlobalChi2),
306 fImproved(track.fImproved),
307 fMatchTrigger(track.fMatchTrigger),
308 floTrgNum(track.floTrgNum),
309 fChi2MatchTrigger(track.fChi2MatchTrigger),
310 fTrackID(track.fTrackID),
311 fTrackParamAtVertex(0x0),
312 fHitsPatternInTrigCh(track.fHitsPatternInTrigCh),
313 fLocalTrigger(track.fLocalTrigger)
317 // necessary to make a copy of the objects and not only the pointers in TClonesArray.
318 AliMUONTrackParam *trackParamAtCluster = (AliMUONTrackParam*) track.fTrackParamAtCluster->First();
319 while (trackParamAtCluster) {
320 new ((*fTrackParamAtCluster)[GetNClusters()]) AliMUONTrackParam(*trackParamAtCluster);
321 trackParamAtCluster = (AliMUONTrackParam*) track.fTrackParamAtCluster->After(trackParamAtCluster);
324 // copy vertex resolution square used during the tracking procedure
325 fVertexErrXY2[0] = track.fVertexErrXY2[0];
326 fVertexErrXY2[1] = track.fVertexErrXY2[1];
328 // copy cluster weights matrices if any
329 if (track.fClusterWeightsNonBending) fClusterWeightsNonBending = new TMatrixD(*(track.fClusterWeightsNonBending));
330 if (track.fClusterWeightsBending) fClusterWeightsBending = new TMatrixD(*(track.fClusterWeightsBending));
332 // copy track parameters at vertex if any
333 if (track.fTrackParamAtVertex) fTrackParamAtVertex = new AliMUONTrackParam(*(track.fTrackParamAtVertex));
337 //__________________________________________________________________________
338 AliMUONTrack & AliMUONTrack::operator=(const AliMUONTrack& track)
340 /// Asignment operator
341 // check assignement to self
345 // base class assignement
346 TObject::operator=(track);
348 // necessary to make a copy of the objects and not only the pointers in TClonesArray.
349 fTrackParamAtCluster = new TClonesArray("AliMUONTrackParam",10);
350 AliMUONTrackParam *trackParamAtCluster = (AliMUONTrackParam*) track.fTrackParamAtCluster->First();
351 while (trackParamAtCluster) {
352 new ((*fTrackParamAtCluster)[GetNClusters()]) AliMUONTrackParam(*trackParamAtCluster);
353 trackParamAtCluster = (AliMUONTrackParam*) track.fTrackParamAtCluster->After(trackParamAtCluster);
356 // copy cluster weights matrix if any
357 if (track.fClusterWeightsNonBending) {
358 if (fClusterWeightsNonBending) {
359 fClusterWeightsNonBending->ResizeTo(*(track.fClusterWeightsNonBending));
360 *fClusterWeightsNonBending = *(track.fClusterWeightsNonBending);
361 } else fClusterWeightsNonBending = new TMatrixD(*(track.fClusterWeightsNonBending));
362 } else if (fClusterWeightsNonBending) {
363 delete fClusterWeightsNonBending;
364 fClusterWeightsNonBending = 0x0;
367 // copy cluster weights matrix if any
368 if (track.fClusterWeightsBending) {
369 if (fClusterWeightsBending) {
370 fClusterWeightsBending->ResizeTo(*(track.fClusterWeightsBending));
371 *fClusterWeightsBending = *(track.fClusterWeightsBending);
372 } else fClusterWeightsBending = new TMatrixD(*(track.fClusterWeightsBending));
373 } else if (fClusterWeightsBending) {
374 delete fClusterWeightsBending;
375 fClusterWeightsBending = 0x0;
378 // copy track parameters at vertex if any
379 if (track.fTrackParamAtVertex) {
380 if (fTrackParamAtVertex) *fTrackParamAtVertex = *(track.fTrackParamAtVertex);
381 else fTrackParamAtVertex = new AliMUONTrackParam(*(track.fTrackParamAtVertex));
382 } else if (fTrackParamAtVertex) {
383 delete fTrackParamAtVertex;
384 fTrackParamAtVertex = 0x0;
387 fFitWithVertex = track.fFitWithVertex;
388 fVertexErrXY2[0] = track.fVertexErrXY2[0];
389 fVertexErrXY2[1] = track.fVertexErrXY2[1];
390 fFitWithMCS = track.fFitWithMCS;
391 fGlobalChi2 = track.fGlobalChi2;
392 fImproved = track.fImproved;
393 fMatchTrigger = track.fMatchTrigger;
394 floTrgNum = track.floTrgNum;
395 fChi2MatchTrigger = track.fChi2MatchTrigger;
396 fTrackID = track.fTrackID;
397 fHitsPatternInTrigCh = track.fHitsPatternInTrigCh;
398 fLocalTrigger = track.fLocalTrigger;
403 //__________________________________________________________________________
404 AliMUONTrack::~AliMUONTrack()
407 delete fTrackParamAtCluster;
408 delete fClusterWeightsNonBending;
409 delete fClusterWeightsBending;
410 delete fTrackParamAtVertex;
413 //__________________________________________________________________________
414 void AliMUONTrack::Clear(Option_t* opt)
417 fTrackParamAtCluster->Clear(opt);
418 delete fClusterWeightsNonBending; fClusterWeightsNonBending = 0x0;
419 delete fClusterWeightsBending; fClusterWeightsBending = 0x0;
420 delete fTrackParamAtVertex; fTrackParamAtVertex = 0x0;
423 //__________________________________________________________________________
424 void AliMUONTrack::AddTrackParamAtCluster(const AliMUONTrackParam &trackParam, AliMUONVCluster &cluster, Bool_t copy)
426 /// Copy given track parameters into a new TrackParamAtCluster
427 /// Link parameters with the associated cluster
428 /// If copy=kTRUE: the cluster is copied then passed the trackParam which become its owner
429 /// otherwise: make sure to do not delete the cluster until it is used by the track
431 // check chamber ID of the associated cluster
432 if (cluster.GetChamberId() < 0 || cluster.GetChamberId() > AliMUONConstants::NTrackingCh()) {
433 AliError(Form("Chamber ID of the associated cluster is not valid (ChamberId=%d)",cluster.GetChamberId()));
437 // check whether track parameters are given at the correct cluster z position
438 if (cluster.GetZ() != trackParam.GetZ()) {
439 AliError("track parameters are given at a different z position than the one of the associated cluster");
443 // add parameters to the array of track parameters
444 AliMUONTrackParam* trackParamAtCluster = new ((*fTrackParamAtCluster)[GetNClusters()]) AliMUONTrackParam(trackParam);
446 // link parameters with the associated cluster or its copy
448 AliMUONVCluster *clusterCopy = static_cast<AliMUONVCluster*>(cluster.Clone());
449 trackParamAtCluster->SetClusterPtr(clusterCopy, kTRUE);
450 } else trackParamAtCluster->SetClusterPtr(&cluster);
453 //__________________________________________________________________________
454 void AliMUONTrack::RemoveTrackParamAtCluster(AliMUONTrackParam *trackParam)
456 /// Remove trackParam from the array of TrackParamAtCluster
457 if (!fTrackParamAtCluster->Remove(trackParam)) {
458 AliWarning("object to remove does not exist in array fTrackParamAtCluster");
462 fTrackParamAtCluster->Compress();
465 //__________________________________________________________________________
466 void AliMUONTrack::UpdateTrackParamAtCluster()
468 /// Update track parameters at each attached cluster
470 if (GetNClusters() == 0) {
471 AliWarning("no cluster attached to the track");
475 AliMUONTrackParam* startingTrackParam = (AliMUONTrackParam*) fTrackParamAtCluster->First();
476 AliMUONTrackParam* trackParamAtCluster = (AliMUONTrackParam*) fTrackParamAtCluster->After(startingTrackParam);
477 while (trackParamAtCluster) {
479 // reset track parameters and their covariances
480 trackParamAtCluster->SetParameters(startingTrackParam->GetParameters());
481 trackParamAtCluster->SetZ(startingTrackParam->GetZ());
483 // extrapolation to the given z
484 AliMUONTrackExtrap::ExtrapToZ(trackParamAtCluster, trackParamAtCluster->GetClusterPtr()->GetZ());
487 startingTrackParam = trackParamAtCluster;
488 trackParamAtCluster = (AliMUONTrackParam*) (fTrackParamAtCluster->After(trackParamAtCluster));
493 //__________________________________________________________________________
494 void AliMUONTrack::UpdateCovTrackParamAtCluster()
496 /// Update track parameters and their covariances at each attached cluster
497 /// Include effects of multiple scattering in chambers
499 if (GetNClusters() == 0) {
500 AliWarning("no cluster attached to the track");
504 AliMUONTrackParam* startingTrackParam = (AliMUONTrackParam*) fTrackParamAtCluster->First();
505 AliMUONTrackParam* trackParamAtCluster = (AliMUONTrackParam*) fTrackParamAtCluster->After(startingTrackParam);
506 Int_t expectedChamber = startingTrackParam->GetClusterPtr()->GetChamberId() + 1;
507 Int_t currentChamber;
508 while (trackParamAtCluster) {
510 // reset track parameters and their covariances
511 trackParamAtCluster->SetParameters(startingTrackParam->GetParameters());
512 trackParamAtCluster->SetZ(startingTrackParam->GetZ());
513 trackParamAtCluster->SetCovariances(startingTrackParam->GetCovariances());
516 AliMUONTrackExtrap::AddMCSEffect(trackParamAtCluster,AliMUONConstants::ChamberThicknessInX0(),1.);
518 // add MCS in missing chambers if any
519 currentChamber = trackParamAtCluster->GetClusterPtr()->GetChamberId();
520 while (currentChamber > expectedChamber) {
521 // extrapolation to the missing chamber
522 AliMUONTrackExtrap::ExtrapToZCov(trackParamAtCluster, AliMUONConstants::DefaultChamberZ(expectedChamber));
524 AliMUONTrackExtrap::AddMCSEffect(trackParamAtCluster,AliMUONConstants::ChamberThicknessInX0(),1.);
528 // extrapolation to the z of the current cluster
529 AliMUONTrackExtrap::ExtrapToZCov(trackParamAtCluster, trackParamAtCluster->GetClusterPtr()->GetZ());
532 expectedChamber = currentChamber + 1;
533 startingTrackParam = trackParamAtCluster;
534 trackParamAtCluster = (AliMUONTrackParam*) (fTrackParamAtCluster->After(trackParamAtCluster));
539 //__________________________________________________________________________
540 Bool_t AliMUONTrack::ComputeLocalChi2(Bool_t accountForMCS)
542 /// Compute each cluster contribution to the chi2 of the track
543 /// accounting for multiple scattering or not according to the flag
544 /// - Also recompute the weight matrices of the attached clusters if accountForMCS=kTRUE
545 /// - Assume that track parameters at each cluster are corrects
546 /// - Return kFALSE if computation failed
548 if (accountForMCS) { // Compute local chi2 taking into account multiple scattering effects
550 // Compute MCS covariance matrix only once
551 Int_t nClusters = GetNClusters();
552 TMatrixD mcsCovariances(nClusters,nClusters);
553 ComputeMCSCovariances(mcsCovariances);
555 // Make sure cluster weights are consistent with following calculations
556 if (!ComputeClusterWeights(&mcsCovariances)) {
557 AliWarning("cannot take into account the multiple scattering effects");
558 return ComputeLocalChi2(kFALSE);
561 // Compute chi2 of the track
562 Double_t globalChi2 = ComputeGlobalChi2(kTRUE);
563 if (globalChi2 < 0.) return kFALSE;
565 // Loop over removable clusters and compute their local chi2
566 AliMUONTrackParam* trackParamAtCluster1;
567 AliMUONVCluster *cluster, *discardedCluster;
568 Int_t iCluster1, iCluster2, iCurrentCluster1, iCurrentCluster2;
569 TMatrixD clusterWeightsNB(nClusters-1,nClusters-1);
570 TMatrixD clusterWeightsB(nClusters-1,nClusters-1);
571 Double_t *dX = new Double_t[nClusters-1];
572 Double_t *dY = new Double_t[nClusters-1];
573 Double_t globalChi2b;
574 AliMUONTrackParam* trackParamAtCluster = (AliMUONTrackParam*) fTrackParamAtCluster->First();
575 while (trackParamAtCluster) {
577 discardedCluster = trackParamAtCluster->GetClusterPtr();
579 // Recompute cluster weights without the current cluster
580 if (!ComputeClusterWeights(clusterWeightsNB, clusterWeightsB, &mcsCovariances, discardedCluster)) {
581 AliWarning("cannot take into account the multiple scattering effects");
584 return ComputeLocalChi2(kFALSE);
587 // Compute track chi2 without the current cluster
589 iCurrentCluster1 = 0;
590 for (iCluster1 = 0; iCluster1 < nClusters ; iCluster1++) {
591 trackParamAtCluster1 = (AliMUONTrackParam*) fTrackParamAtCluster->UncheckedAt(iCluster1);
592 cluster = trackParamAtCluster1->GetClusterPtr();
594 if (cluster == discardedCluster) continue;
596 // Compute and save residuals
597 dX[iCurrentCluster1] = cluster->GetX() - trackParamAtCluster1->GetNonBendingCoor();
598 dY[iCurrentCluster1] = cluster->GetY() - trackParamAtCluster1->GetBendingCoor();
600 iCurrentCluster2 = 0;
601 for (iCluster2 = 0; iCluster2 < iCluster1; iCluster2++) {
602 cluster = ((AliMUONTrackParam*) fTrackParamAtCluster->UncheckedAt(iCluster2))->GetClusterPtr();
604 if (cluster == discardedCluster) continue;
606 // Add contribution from covariances
607 globalChi2b += (clusterWeightsNB(iCurrentCluster1, iCurrentCluster2) +
608 clusterWeightsNB(iCurrentCluster2, iCurrentCluster1)) * dX[iCurrentCluster1] * dX[iCurrentCluster2] +
609 (clusterWeightsB(iCurrentCluster1, iCurrentCluster2) +
610 clusterWeightsB(iCurrentCluster2, iCurrentCluster1)) * dY[iCurrentCluster1] * dY[iCurrentCluster2];
615 // Add contribution from variances
616 globalChi2b += clusterWeightsNB(iCurrentCluster1, iCurrentCluster1) * dX[iCurrentCluster1] * dX[iCurrentCluster1] +
617 clusterWeightsB(iCurrentCluster1, iCurrentCluster1) * dY[iCurrentCluster1] * dY[iCurrentCluster1];
623 trackParamAtCluster->SetLocalChi2(globalChi2 - globalChi2b);
625 trackParamAtCluster = (AliMUONTrackParam*) fTrackParamAtCluster->After(trackParamAtCluster);
631 } else { // without multiple scattering effects
633 AliMUONVCluster *discardedCluster;
635 AliMUONTrackParam* trackParamAtCluster = (AliMUONTrackParam*) fTrackParamAtCluster->First();
636 while (trackParamAtCluster) {
638 discardedCluster = trackParamAtCluster->GetClusterPtr();
641 dX = discardedCluster->GetX() - trackParamAtCluster->GetNonBendingCoor();
642 dY = discardedCluster->GetY() - trackParamAtCluster->GetBendingCoor();
645 trackParamAtCluster->SetLocalChi2(dX * dX / discardedCluster->GetErrX2() + dY * dY / discardedCluster->GetErrY2());
647 trackParamAtCluster = (AliMUONTrackParam*) fTrackParamAtCluster->After(trackParamAtCluster);
656 //__________________________________________________________________________
657 Double_t AliMUONTrack::ComputeGlobalChi2(Bool_t accountForMCS)
659 /// Compute the chi2 of the track accounting for multiple scattering or not according to the flag
660 /// - Assume that track parameters at each cluster are corrects
661 /// - Assume the cluster weights matrices are corrects
662 /// - Return negative value if chi2 computation failed
668 // Check the weight matrices. If weight matrices are not available compute chi2 without MCS
669 if (!fClusterWeightsNonBending || !fClusterWeightsBending) {
670 AliWarning("cluster weights including multiple scattering effects are not available\n\t\t --> compute chi2 WITHOUT multiple scattering");
671 return ComputeGlobalChi2(kFALSE);
673 Int_t nClusters = GetNClusters();
674 if (fClusterWeightsNonBending->GetNrows() != nClusters || fClusterWeightsBending->GetNcols() != nClusters) {
675 AliWarning("cluster weights including multiple scattering effects are not available\n\t\t --> compute chi2 WITHOUT multiple scattering");
676 return ComputeGlobalChi2(kFALSE);
680 AliMUONVCluster *cluster;
681 Double_t *dX = new Double_t[nClusters];
682 Double_t *dY = new Double_t[nClusters];
683 AliMUONTrackParam* trackParamAtCluster;
684 for (Int_t iCluster1 = 0; iCluster1 < nClusters; iCluster1++) {
685 trackParamAtCluster = (AliMUONTrackParam*) fTrackParamAtCluster->UncheckedAt(iCluster1);
686 cluster = trackParamAtCluster->GetClusterPtr();
687 dX[iCluster1] = cluster->GetX() - trackParamAtCluster->GetNonBendingCoor();
688 dY[iCluster1] = cluster->GetY() - trackParamAtCluster->GetBendingCoor();
689 for (Int_t iCluster2 = 0; iCluster2 < iCluster1; iCluster2++) {
690 chi2 += ((*fClusterWeightsNonBending)(iCluster1, iCluster2) + (*fClusterWeightsNonBending)(iCluster2, iCluster1)) * dX[iCluster1] * dX[iCluster2] +
691 ((*fClusterWeightsBending)(iCluster1, iCluster2) + (*fClusterWeightsBending)(iCluster2, iCluster1)) * dY[iCluster1] * dY[iCluster2];
693 chi2 += ((*fClusterWeightsNonBending)(iCluster1, iCluster1) * dX[iCluster1] * dX[iCluster1]) +
694 ((*fClusterWeightsBending)(iCluster1, iCluster1) * dY[iCluster1] * dY[iCluster1]);
701 AliMUONVCluster *cluster;
703 AliMUONTrackParam* trackParamAtCluster;
704 Int_t nClusters = GetNClusters();
705 for (Int_t iCluster = 0; iCluster < nClusters ; iCluster++) {
706 trackParamAtCluster = (AliMUONTrackParam*) fTrackParamAtCluster->UncheckedAt(iCluster);
707 cluster = trackParamAtCluster->GetClusterPtr();
708 dX = cluster->GetX() - trackParamAtCluster->GetNonBendingCoor();
709 dY = cluster->GetY() - trackParamAtCluster->GetBendingCoor();
710 chi2 += dX * dX / cluster->GetErrX2() + dY * dY / cluster->GetErrY2();
719 //__________________________________________________________________________
720 Bool_t AliMUONTrack::ComputeClusterWeights(TMatrixD* mcsCovariances)
722 /// Compute the weight matrices of the attached clusters, in non bending and bending direction,
723 /// accounting for multiple scattering correlations and cluster resolution
724 /// - Use the provided MCS covariance matrix if any (otherwise build it temporarily)
725 /// - Assume that track parameters at each cluster are corrects
726 /// - Return kFALSE if computation failed
729 Int_t nClusters = GetNClusters();
730 if (!fClusterWeightsNonBending) fClusterWeightsNonBending = new TMatrixD(nClusters,nClusters);
731 if (!fClusterWeightsBending) fClusterWeightsBending = new TMatrixD(nClusters,nClusters);
733 // Compute weights matrices
734 if (!ComputeClusterWeights(*fClusterWeightsNonBending, *fClusterWeightsBending, mcsCovariances)) return kFALSE;
740 //__________________________________________________________________________
741 Bool_t AliMUONTrack::ComputeClusterWeights(TMatrixD& clusterWeightsNB, TMatrixD& clusterWeightsB,
742 TMatrixD* mcsCovariances, AliMUONVCluster* discardedCluster) const
744 /// Compute the weight matrices, in non bending and bending direction,
745 /// of the other attached clusters assuming the discarded one does not exist
746 /// accounting for multiple scattering correlations and cluster resolution
747 /// - Use the provided MCS covariance matrix if any (otherwise build it temporarily)
748 /// - Return kFALSE if computation failed
750 // Check MCS covariance matrix and recompute it if need
751 Int_t nClusters = GetNClusters();
752 Bool_t deleteMCSCov = kFALSE;
753 if (!mcsCovariances) {
754 mcsCovariances = new TMatrixD(nClusters,nClusters);
755 deleteMCSCov = kTRUE;
756 ComputeMCSCovariances(*mcsCovariances);
759 // Resize the weights matrices; alocate memory
760 if (discardedCluster) {
761 clusterWeightsNB.ResizeTo(nClusters-1,nClusters-1);
762 clusterWeightsB.ResizeTo(nClusters-1,nClusters-1);
764 clusterWeightsNB.ResizeTo(nClusters,nClusters);
765 clusterWeightsB.ResizeTo(nClusters,nClusters);
769 AliMUONVCluster *cluster1, *cluster2;
770 Int_t iCurrentCluster1, iCurrentCluster2;
772 // Compute the covariance matrices
773 iCurrentCluster1 = 0;
774 for (Int_t iCluster1 = 0; iCluster1 < nClusters; iCluster1++) {
775 cluster1 = ((AliMUONTrackParam*) fTrackParamAtCluster->UncheckedAt(iCluster1))->GetClusterPtr();
777 if (cluster1 == discardedCluster) continue;
779 // Loop over next clusters
780 iCurrentCluster2 = iCurrentCluster1;
781 for (Int_t iCluster2 = iCluster1; iCluster2 < nClusters; iCluster2++) {
782 cluster2 = ((AliMUONTrackParam*) fTrackParamAtCluster->UncheckedAt(iCluster2))->GetClusterPtr();
784 if (cluster2 == discardedCluster) continue;
786 // Fill with MCS covariances
787 clusterWeightsNB(iCurrentCluster1, iCurrentCluster2) = (*mcsCovariances)(iCluster1,iCluster2);
789 // Equal contribution from multiple scattering in non bending and bending directions
790 clusterWeightsB(iCurrentCluster1, iCurrentCluster2) = clusterWeightsNB(iCurrentCluster1, iCurrentCluster2);
792 // Add contribution from cluster resolution to diagonal element and symmetrize the matrix
793 if (iCurrentCluster1 == iCurrentCluster2) {
795 // In non bending plane
796 clusterWeightsNB(iCurrentCluster1, iCurrentCluster1) += cluster1->GetErrX2();
798 clusterWeightsB(iCurrentCluster1, iCurrentCluster1) += cluster1->GetErrY2();
802 // In non bending plane
803 clusterWeightsNB(iCurrentCluster2, iCurrentCluster1) = clusterWeightsNB(iCurrentCluster1, iCurrentCluster2);
805 clusterWeightsB(iCurrentCluster2, iCurrentCluster1) = clusterWeightsB(iCurrentCluster1, iCurrentCluster2);
815 // Inversion of covariance matrices to get the weights
816 if (clusterWeightsNB.Determinant() != 0 && clusterWeightsB.Determinant() != 0) {
817 clusterWeightsNB.Invert();
818 clusterWeightsB.Invert();
820 AliWarning(" Determinant = 0");
821 clusterWeightsNB.ResizeTo(0,0);
822 clusterWeightsB.ResizeTo(0,0);
823 if(deleteMCSCov) delete mcsCovariances;
827 if(deleteMCSCov) delete mcsCovariances;
833 //__________________________________________________________________________
834 void AliMUONTrack::ComputeMCSCovariances(TMatrixD& mcsCovariances) const
836 /// Compute the multiple scattering covariance matrix
837 /// (assume that track parameters at each cluster are corrects)
839 // Reset the size of the covariance matrix if needed
840 Int_t nClusters = GetNClusters();
841 if (mcsCovariances.GetNrows() != nClusters) mcsCovariances.ResizeTo(nClusters,nClusters);
844 Int_t nChambers = AliMUONConstants::NTrackingCh();
845 AliMUONTrackParam* trackParamAtCluster;
846 AliMUONTrackParam extrapTrackParam;
847 Int_t currentChamber = 0, expectedChamber = 0, size = 0;
848 Double_t *mcsAngle2 = new Double_t[2*nChambers];
849 Double_t *zMCS = new Double_t[2*nChambers];
850 Int_t *indices = new Int_t[2*nClusters];
852 // Compute multiple scattering dispersion angle at each chamber
853 // and save the z position where it is calculated
854 for (Int_t iCluster = 0; iCluster < nClusters; iCluster++) {
855 trackParamAtCluster = (AliMUONTrackParam*) fTrackParamAtCluster->UncheckedAt(iCluster);
857 // look for missing chambers if any
858 currentChamber = trackParamAtCluster->GetClusterPtr()->GetChamberId();
859 while (currentChamber > expectedChamber) {
861 // Save the z position where MCS dispersion is calculated
862 zMCS[size] = AliMUONConstants::DefaultChamberZ(expectedChamber);
864 // Do not take into account MCS in chambers prior the first cluster
867 // Get track parameters at missing chamber z
868 extrapTrackParam = *trackParamAtCluster;
869 AliMUONTrackExtrap::ExtrapToZ(&extrapTrackParam, zMCS[size]);
871 // Save multiple scattering dispersion angle in missing chamber
872 mcsAngle2[size] = AliMUONTrackExtrap::GetMCSAngle2(extrapTrackParam,AliMUONConstants::ChamberThicknessInX0(),1.);
874 } else mcsAngle2[size] = 0.;
880 // Save z position where MCS dispersion is calculated
881 zMCS[size] = trackParamAtCluster->GetZ();
883 // Save multiple scattering dispersion angle in current chamber
884 mcsAngle2[size] = AliMUONTrackExtrap::GetMCSAngle2(*trackParamAtCluster,AliMUONConstants::ChamberThicknessInX0(),1.);
886 // Save indice in zMCS array corresponding to the current cluster
887 indices[iCluster] = size;
889 expectedChamber = currentChamber + 1;
893 // complete array of z if last cluster is on the last but one chamber
894 if (currentChamber != nChambers-1) zMCS[size++] = AliMUONConstants::DefaultChamberZ(nChambers-1);
896 // Compute the covariance matrix
897 for (Int_t iCluster1 = 0; iCluster1 < nClusters; iCluster1++) {
899 for (Int_t iCluster2 = iCluster1; iCluster2 < nClusters; iCluster2++) {
901 // Initialization to 0 (diagonal plus upper triangular part)
902 mcsCovariances(iCluster1,iCluster2) = 0.;
904 // Compute contribution from multiple scattering in upstream chambers
905 for (Int_t k = 0; k < indices[iCluster1]; k++) {
906 mcsCovariances(iCluster1,iCluster2) += (zMCS[indices[iCluster1]] - zMCS[k]) * (zMCS[indices[iCluster2]] - zMCS[k]) * mcsAngle2[k];
909 // Symetrize the matrix
910 mcsCovariances(iCluster2,iCluster1) = mcsCovariances(iCluster1,iCluster2);
921 //__________________________________________________________________________
922 Int_t AliMUONTrack::ClustersInCommon(AliMUONTrack* track) const
924 /// Returns the number of clusters in common between the current track ("this")
925 /// and the track pointed to by "track".
926 Int_t clustersInCommon = 0;
927 AliMUONTrackParam *trackParamAtCluster1, *trackParamAtCluster2;
928 // Loop over clusters of first track
929 trackParamAtCluster1 = (AliMUONTrackParam*) this->fTrackParamAtCluster->First();
930 while (trackParamAtCluster1) {
931 // Loop over clusters of second track
932 trackParamAtCluster2 = (AliMUONTrackParam*) track->fTrackParamAtCluster->First();
933 while (trackParamAtCluster2) {
934 // Increment "clustersInCommon" if both trackParamAtCluster1 & 2 point to the same cluster
935 if ((trackParamAtCluster1->GetClusterPtr()) == (trackParamAtCluster2->GetClusterPtr())) {
939 trackParamAtCluster2 = (AliMUONTrackParam*) track->fTrackParamAtCluster->After(trackParamAtCluster2);
940 } // trackParamAtCluster2
941 trackParamAtCluster1 = (AliMUONTrackParam*) this->fTrackParamAtCluster->After(trackParamAtCluster1);
942 } // trackParamAtCluster1
943 return clustersInCommon;
946 //__________________________________________________________________________
947 Double_t AliMUONTrack::GetNormalizedChi2() const
949 /// return the chi2 value divided by the number of degrees of freedom (or 1.e10 if ndf < 0)
951 Double_t numberOfDegFree = (2. * GetNClusters() - 5.);
952 if (numberOfDegFree > 0.) return fGlobalChi2 / numberOfDegFree;
956 //__________________________________________________________________________
957 Bool_t* AliMUONTrack::CompatibleTrack(AliMUONTrack *track, Double_t sigmaCut) const
959 /// for each chamber: return kTRUE (kFALSE) if clusters are compatible (not compatible)
960 AliMUONTrackParam *trackParamAtCluster1, *trackParamAtCluster2;
961 AliMUONVCluster *cluster1, *cluster2;
962 Double_t chi2, dX, dY, dZ;
963 Double_t chi2Max = sigmaCut * sigmaCut;
964 Double_t dZMax = 1.; // 1 cm
966 Bool_t *compatibleCluster = new Bool_t[AliMUONConstants::NTrackingCh()];
967 for ( Int_t ch = 0; ch < AliMUONConstants::NTrackingCh(); ch++) compatibleCluster[ch] = kFALSE;
969 // Loop over clusters of first track
970 trackParamAtCluster1 = (AliMUONTrackParam*) this->fTrackParamAtCluster->First();
971 while (trackParamAtCluster1) {
973 cluster1 = trackParamAtCluster1->GetClusterPtr();
975 // Loop over clusters of second track
976 trackParamAtCluster2 = (AliMUONTrackParam*) track->fTrackParamAtCluster->First();
977 while (trackParamAtCluster2) {
979 cluster2 = trackParamAtCluster2->GetClusterPtr();
982 trackParamAtCluster2 = (AliMUONTrackParam*) track->fTrackParamAtCluster->After(trackParamAtCluster2);
985 dZ = cluster1->GetZ() - cluster2->GetZ();
986 if (dZ > dZMax) continue;
988 // non bending direction
989 dX = cluster1->GetX() - cluster2->GetX();
990 chi2 = dX * dX / (cluster1->GetErrX2() + cluster2->GetErrX2());
991 if (chi2 > chi2Max) continue;
994 dY = cluster1->GetY() - cluster2->GetY();
995 chi2 = dY * dY / (cluster1->GetErrY2() + cluster2->GetErrY2());
996 if (chi2 > chi2Max) continue;
998 compatibleCluster[cluster1->GetChamberId()] = kTRUE;
1002 trackParamAtCluster1 = (AliMUONTrackParam*) this->fTrackParamAtCluster->After(trackParamAtCluster1);
1005 return compatibleCluster;
1008 //__________________________________________________________________________
1009 void AliMUONTrack::SetTrackParamAtVertex(const AliMUONTrackParam* trackParam)
1011 /// set track parameters at vertex
1012 if (trackParam == 0x0) return;
1013 if (fTrackParamAtVertex) *fTrackParamAtVertex = *trackParam;
1014 else fTrackParamAtVertex = new AliMUONTrackParam(*trackParam);
1017 //__________________________________________________________________________
1018 void AliMUONTrack::RecursiveDump() const
1020 /// Recursive dump of AliMUONTrack, i.e. with dump of trackParamAtCluster and attached clusters
1021 AliMUONTrackParam *trackParamAtCluster;
1022 AliMUONVCluster *cluster;
1023 cout << "Recursive dump of Track: " << this << endl;
1026 for (Int_t iCluster = 0; iCluster < GetNClusters(); iCluster++) {
1027 trackParamAtCluster = (AliMUONTrackParam*) ((*fTrackParamAtCluster)[iCluster]);
1028 // trackParamAtCluster
1029 cout << "trackParamAtCluster: " << trackParamAtCluster << " (index: " << iCluster << ")" << endl;
1030 trackParamAtCluster->Dump();
1031 cluster = trackParamAtCluster->GetClusterPtr();
1033 cout << "cluster: " << cluster << endl;
1039 //_____________________________________________-
1040 void AliMUONTrack::Print(Option_t*) const
1042 /// Printing Track information
1044 cout << "<AliMUONTrack> No.Clusters=" << setw(2) << GetNClusters() <<
1045 ", Match2Trig=" << setw(1) << GetMatchTrigger() <<
1046 ", LoTrgNum=" << setw(3) << GetLoTrgNum() <<
1047 ", Chi2-tracking-trigger=" << setw(8) << setprecision(5) << GetChi2MatchTrigger();
1048 cout << Form(" HitTriggerPattern %x",fHitsPatternInTrigCh) << endl;
1049 fTrackParamAtCluster->First()->Print("FULL");
1052 //__________________________________________________________________________
1053 void AliMUONTrack::SetLocalTrigger(Int_t loCirc, Int_t loStripX, Int_t loStripY, Int_t loDev, Int_t loLpt, Int_t loHpt)
1055 /// pack the local trigger information and store
1057 if (loCirc < 0) return;
1060 fLocalTrigger += loCirc;
1061 fLocalTrigger += loStripX << 8;
1062 fLocalTrigger += loStripY << 13;
1063 fLocalTrigger += loDev << 17;
1064 fLocalTrigger += loLpt << 22;
1065 fLocalTrigger += loHpt << 24;