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 ///////////////////////////////////////////////////////////////////////////////
23 // Alex Bercuci <A.Bercuci@gsi.de> //
24 // Markus Fasel <M.Fasel@gsi.de> //
26 ///////////////////////////////////////////////////////////////////////////////
29 #include <TDirectory.h>
30 #include <TLinearFitter.h>
32 #include <TClonesArray.h>
33 #include <TTreeStream.h>
34 #include <TGeoMatrix.h>
35 #include <TGeoManager.h>
38 #include "AliMathBase.h"
39 #include "AliESDEvent.h"
40 #include "AliGeomManager.h"
41 #include "AliRieman.h"
42 #include "AliTrackPointArray.h"
44 #include "AliTRDgeometry.h"
45 #include "AliTRDpadPlane.h"
46 #include "AliTRDcalibDB.h"
47 #include "AliTRDReconstructor.h"
48 #include "AliTRDCalibraFillHisto.h"
49 #include "AliTRDrecoParam.h"
51 #include "AliTRDcluster.h"
52 #include "AliTRDdigitsParam.h"
53 #include "AliTRDseedV1.h"
54 #include "AliTRDtrackV1.h"
55 #include "AliTRDtrackerV1.h"
56 #include "AliTRDtrackerDebug.h"
57 #include "AliTRDtrackingChamber.h"
58 #include "AliTRDchamberTimeBin.h"
60 ClassImp(AliTRDtrackerV1)
61 ClassImp(AliTRDtrackerV1::AliTRDLeastSquare)
62 ClassImp(AliTRDtrackerV1::AliTRDtrackFitterRieman)
64 AliTRDtrackerV1::ETRDtrackerV1BetheBloch AliTRDtrackerV1::fgBB = AliTRDtrackerV1::kGeant;
65 Double_t AliTRDtrackerV1::fgTopologicQA[kNConfigs] = {
66 0.5112, 0.5112, 0.5112, 0.0786, 0.0786,
67 0.0786, 0.0786, 0.0579, 0.0579, 0.0474,
68 0.0474, 0.0408, 0.0335, 0.0335, 0.0335
70 const Double_t AliTRDtrackerV1::fgkX0[kNPlanes] = {
71 300.2, 312.8, 325.4, 338.0, 350.6, 363.2};
72 // Number of Time Bins/chamber should be also stored independently by the traker
73 // (also in AliTRDReconstructor) in oder to be able to run HLT. Fix TODO
74 Int_t AliTRDtrackerV1::fgNTimeBins = 0;
75 AliRieman* AliTRDtrackerV1::fgRieman = NULL;
76 TLinearFitter* AliTRDtrackerV1::fgTiltedRieman = NULL;
77 TLinearFitter* AliTRDtrackerV1::fgTiltedRiemanConstrained = NULL;
79 //____________________________________________________________________
80 AliTRDtrackerV1::AliTRDtrackerV1(const AliTRDReconstructor *rec)
82 ,fkReconstructor(NULL)
93 // Default constructor.
96 SetReconstructor(rec); // initialize reconstructor
98 // initialize geometry
99 if(!AliGeomManager::GetGeometry()){
100 AliFatal("Could not get geometry.");
102 fGeom = new AliTRDgeometry();
103 fGeom->CreateClusterMatrixArray();
104 TGeoHMatrix *matrix = NULL;
105 Double_t loc[] = {0., 0., 0.};
106 Double_t glb[] = {0., 0., 0.};
107 for(Int_t ily=kNPlanes; ily--;){
109 while(!(matrix = fGeom->GetClusterMatrix(AliTRDgeometry::GetDetector(ily, 2, ism)))) ism++;
111 AliError(Form("Could not get transformation matrix for layer %d. Use default.", ily));
112 fR[ily] = fgkX0[ily];
115 matrix->LocalToMaster(loc, glb);
116 fR[ily] = glb[0]+ AliTRDgeometry::AnodePos()-.5*AliTRDgeometry::AmThick() - AliTRDgeometry::DrThick();
119 // initialize cluster containers
120 for (Int_t isector = 0; isector < AliTRDgeometry::kNsector; isector++) new(&fTrSec[isector]) AliTRDtrackingSector(fGeom, isector);
123 memset(fTrackQuality, 0, kMaxTracksStack*sizeof(Double_t));
124 memset(fSeedLayer, 0, kMaxTracksStack*sizeof(Int_t));
125 memset(fSeedTB, 0, kNSeedPlanes*sizeof(AliTRDchamberTimeBin*));
126 fTracksESD = new TClonesArray("AliESDtrack", 2*kMaxTracksStack);
127 fTracksESD->SetOwner();
130 //____________________________________________________________________
131 AliTRDtrackerV1::~AliTRDtrackerV1()
137 if(fgRieman) delete fgRieman; fgRieman = NULL;
138 if(fgTiltedRieman) delete fgTiltedRieman; fgTiltedRieman = NULL;
139 if(fgTiltedRiemanConstrained) delete fgTiltedRiemanConstrained; fgTiltedRiemanConstrained = NULL;
140 for(Int_t isl =0; isl<kNSeedPlanes; isl++) if(fSeedTB[isl]) delete fSeedTB[isl];
141 if(fTracksESD){ fTracksESD->Delete(); delete fTracksESD; }
142 if(fTracks) {fTracks->Delete(); delete fTracks;}
143 if(fTracklets) {fTracklets->Delete(); delete fTracklets;}
144 if(IsClustersOwner() && fClusters) {
145 AliInfo(Form("tracker[%p] removing %d own clusters @ %p", (void*)this, fClusters->GetEntries(), (void*)fClusters));
146 fClusters->Delete(); delete fClusters;
148 if(fGeom) delete fGeom;
151 //____________________________________________________________________
152 Int_t AliTRDtrackerV1::Clusters2Tracks(AliESDEvent *esd)
155 // Steering stand alone tracking for full TRD detector
158 // esd : The ESD event. On output it contains
159 // the ESD tracks found in TRD.
162 // Number of tracks found in the TRD detector.
164 // Detailed description
165 // 1. Launch individual SM trackers.
166 // See AliTRDtrackerV1::Clusters2TracksSM() for details.
170 AliError("Reconstruction configuration not initialized. Call first AliTRDReconstructor::SetRecoParam().");
174 //AliInfo("Start Track Finder ...");
176 for(int ism=0; ism<AliTRDgeometry::kNsector; ism++){
177 // for(int ism=1; ism<2; ism++){
178 //AliInfo(Form("Processing supermodule %i ...", ism));
179 ntracks += Clusters2TracksSM(ism, esd);
181 AliInfo(Form("Number of tracks: !TRDin[%d]", ntracks));
186 //_____________________________________________________________________________
187 Bool_t AliTRDtrackerV1::GetTrackPoint(Int_t index, AliTrackPoint &p) const
189 //AliInfo(Form("Asking for tracklet %d", index));
191 // reset position of the point before using it
192 p.SetXYZ(0., 0., 0.);
193 AliTRDseedV1 *tracklet = GetTracklet(index);
194 if (!tracklet) return kFALSE;
196 // get detector for this tracklet
197 Int_t det = tracklet->GetDetector();
198 Int_t sec = fGeom->GetSector(det);
199 Double_t alpha = (sec+.5)*AliTRDgeometry::GetAlpha(),
200 sinA = TMath::Sin(alpha),
201 cosA = TMath::Cos(alpha);
203 local[0] = tracklet->GetX();
204 local[1] = tracklet->GetY();
205 local[2] = tracklet->GetZ();
207 fGeom->RotateBack(det, local, global);
209 Double_t cov2D[3]; Float_t cov[6];
210 tracklet->GetCovAt(local[0], cov2D);
211 cov[0] = cov2D[0]*sinA*sinA;
212 cov[1] =-cov2D[0]*sinA*cosA;
213 cov[2] =-cov2D[1]*sinA;
214 cov[3] = cov2D[0]*cosA*cosA;
215 cov[4] = cov2D[1]*cosA;
217 // store the global position of the tracklet and its covariance matrix in the track point
218 p.SetXYZ(global[0],global[1],global[2], cov);
221 AliGeomManager::ELayerID iLayer = AliGeomManager::ELayerID(AliGeomManager::kTRD1+fGeom->GetLayer(det));
222 Int_t modId = fGeom->GetSector(det) * AliTRDgeometry::kNstack + fGeom->GetStack(det);
223 UShort_t volid = AliGeomManager::LayerToVolUID(iLayer, modId);
224 p.SetVolumeID(volid);
229 //____________________________________________________________________
230 TLinearFitter* AliTRDtrackerV1::GetTiltedRiemanFitter()
232 if(!fgTiltedRieman) fgTiltedRieman = new TLinearFitter(4, "hyp4");
233 return fgTiltedRieman;
236 //____________________________________________________________________
237 TLinearFitter* AliTRDtrackerV1::GetTiltedRiemanFitterConstraint()
239 if(!fgTiltedRiemanConstrained) fgTiltedRiemanConstrained = new TLinearFitter(2, "hyp2");
240 return fgTiltedRiemanConstrained;
243 //____________________________________________________________________
244 AliRieman* AliTRDtrackerV1::GetRiemanFitter()
246 if(!fgRieman) fgRieman = new AliRieman(AliTRDseedV1::kNtb * AliTRDgeometry::kNlayer);
250 //_____________________________________________________________________________
251 Int_t AliTRDtrackerV1::PropagateBack(AliESDEvent *event)
253 // Propagation of ESD tracks from TPC to TOF detectors and building of the TRD track. For building
254 // a TRD track an ESD track is used as seed. The informations obtained on the TRD track (measured points,
255 // covariance, PID, etc.) are than used to update the corresponding ESD track.
256 // Each track seed is first propagated to the geometrical limit of the TRD detector.
257 // Its prolongation is searched in the TRD and if corresponding clusters are found tracklets are
258 // constructed out of them (see AliTRDseedV1::AttachClusters()) and the track is updated.
259 // Otherwise the ESD track is left unchanged.
261 // The following steps are performed:
262 // 1. Selection of tracks based on the variance in the y-z plane.
263 // 2. Propagation to the geometrical limit of the TRD volume. If track propagation fails the AliESDtrack::kTRDStop is set.
264 // 3. Prolongation inside the fiducial volume (see AliTRDtrackerV1::FollowBackProlongation()) and marking
265 // the following status bits:
266 // - AliESDtrack::kTRDin - if the tracks enters the TRD fiducial volume
267 // - AliESDtrack::kTRDStop - if the tracks fails propagation
268 // - AliESDtrack::kTRDbackup - if the tracks fulfills chi2 conditions and qualify for refitting
269 // 4. Writting to friends, PID, MC label, quality etc. Setting status bit AliESDtrack::kTRDout.
270 // 5. Propagation to TOF. If track propagation fails the AliESDtrack::kTRDStop is set.
273 if(!fClusters || !fClusters->GetEntriesFast()){
274 AliInfo("No TRD clusters");
277 AliTRDCalibraFillHisto *calibra = AliTRDCalibraFillHisto::Instance(); // Calibration monitor
278 if (!calibra) AliInfo("Could not get Calibra instance");
279 if (!fgNTimeBins) fgNTimeBins = fkReconstructor->GetNTimeBins();
282 Int_t nFound = 0, // number of tracks found
283 nBacked = 0, // number of tracks backed up for refit
284 nSeeds = 0, // total number of ESD seeds
285 nTRDseeds= 0, // number of seeds in the TRD acceptance
286 nTPCseeds= 0; // number of TPC seeds
287 Float_t foundMin = 20.0;
289 Float_t *quality = NULL;
291 fEventInFile = event->GetEventNumberInFile();
292 nSeeds = event->GetNumberOfTracks();
293 // Sort tracks according to quality
294 // (covariance in the yz plane)
296 quality = new Float_t[nSeeds];
297 index = new Int_t[4*nSeeds];
298 for (Int_t iSeed = nSeeds; iSeed--;) {
299 AliESDtrack *seed = event->GetTrack(iSeed);
300 Double_t covariance[15];
301 seed->GetExternalCovariance(covariance);
302 quality[iSeed] = covariance[0] + covariance[2];
304 TMath::Sort(nSeeds, quality, index,kFALSE);
307 // Propagate all seeds
310 for (Int_t iSeed = 0; iSeed < nSeeds; iSeed++) {
312 // Get the seeds in sorted sequence
313 AliESDtrack *seed = event->GetTrack(index[iSeed]);
314 Float_t p4 = seed->GetC(seed->GetBz());
316 // Check the seed status
317 ULong_t status = seed->GetStatus();
318 if ((status & AliESDtrack::kTRDout) != 0) continue;
319 if ((status & AliESDtrack::kTPCout)){
320 AliDebug(3, Form("Prolongate seed[%2d] which is TPC.", iSeed));
321 // set steering parameters for TPC
322 //fkRecoParam->SetTrackParam(kTPC);
324 if ((status & AliESDtrack::kITSout)){
325 AliDebug(3, Form("Prolongate seed[%2d] which is ITS.", iSeed));
326 // set steering parameters for ITS
327 //fkRecoParam->SetTrackParam(kITS);
329 Float_t globalToTracking = AliTRDgeometry::GetAlpha()*(Int_t(seed->GetAlpha()/AliTRDgeometry::GetAlpha()) + (seed->GetAlpha()>0. ? 0.5 : -0.5));
330 if(!seed->Rotate(globalToTracking)) continue;
334 // Propagate to the entrance in the TRD mother volume
335 track.~AliTRDtrackV1();
336 new(&track) AliTRDtrackV1(*seed);
337 if(AliTRDgeometry::GetXtrdBeg() > (AliTRDReconstructor::GetMaxStep() + track.GetX()) && !PropagateToX(track, AliTRDgeometry::GetXtrdBeg(), AliTRDReconstructor::GetMaxStep())){
338 seed->UpdateTrackParams(&track, AliESDtrack::kTRDStop);
341 if(!AdjustSector(&track)){
342 seed->UpdateTrackParams(&track, AliESDtrack::kTRDStop);
345 if(TMath::Abs(track.GetSnp()) > AliTRDReconstructor::GetMaxSnp()) {
346 seed->UpdateTrackParams(&track, AliESDtrack::kTRDStop);
350 AliDebug(2, Form("TRD propagate TPC seed[%d] = %d.", iSeed, index[iSeed]));
351 // store track status at TRD entrance
352 seed->UpdateTrackParams(&track, AliESDtrack::kTRDbackup);
354 // prepare track and do propagation in the TRD
355 track.SetReconstructor(fkReconstructor);
356 track.SetKink(Bool_t(seed->GetKinkIndex(0)));
357 track.SetPrimary(status & AliESDtrack::kTPCin);
358 expectedClr = FollowBackProlongation(track);
359 // check if track entered the TRD fiducial volume
360 if(track.GetTrackIn()){
361 seed->UpdateTrackParams(&track, AliESDtrack::kTRDin);
364 // check if track was stopped in the TRD
366 seed->UpdateTrackParams(&track, AliESDtrack::kTRDStop);
373 track.CookLabel(1. - AliTRDReconstructor::GetLabelFraction());
374 // update calibration references using this track
375 if(calibra->GetHisto2d()) calibra->UpdateHistogramsV1(&track);
376 // save calibration object
377 if (fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 0) {
378 AliTRDtrackV1 *calibTrack = new AliTRDtrackV1(track);
379 calibTrack->SetOwner();
380 seed->AddCalibObject(calibTrack);
383 seed->UpdateTrackParams(&track, AliESDtrack::kTRDout);
384 track.UpdateESDtrack(seed);
387 // Make backup for back propagation
388 if ((TMath::Abs(track.GetC(track.GetBz()) - p4) / TMath::Abs(p4) < 0.2) || (track.Pt() > 0.8)) {
389 Int_t foundClr = track.GetNumberOfClusters();
390 if (foundClr >= foundMin) {
391 //if(track.GetBackupTrack()) UseClusters(track.GetBackupTrack());
393 // Sign only gold tracks
394 if (track.GetChi2() / track.GetNumberOfClusters() < 4) {
395 //if ((seed->GetKinkIndex(0) == 0) && (track.Pt() < 1.5)) UseClusters(&track);
397 Bool_t isGold = kFALSE;
400 if (track.GetChi2() / track.GetNumberOfClusters() < 5) {
401 if (track.GetBackupTrack()) seed->UpdateTrackParams(track.GetBackupTrack(),AliESDtrack::kTRDbackup);
407 if ((!isGold) && (track.GetNCross() == 0) && (track.GetChi2() / track.GetNumberOfClusters() < 7)) {
408 //seed->UpdateTrackParams(track, AliESDtrack::kTRDbackup);
409 if (track.GetBackupTrack()) seed->UpdateTrackParams(track.GetBackupTrack(),AliESDtrack::kTRDbackup);
414 if ((!isGold) && (track.GetBackupTrack())) {
415 if ((track.GetBackupTrack()->GetNumberOfClusters() > foundMin) && ((track.GetBackupTrack()->GetChi2()/(track.GetBackupTrack()->GetNumberOfClusters()+1)) < 7)) {
416 seed->UpdateTrackParams(track.GetBackupTrack(),AliESDtrack::kTRDbackup);
424 // Propagation to the TOF
425 if(!(seed->GetStatus()&AliESDtrack::kTRDStop)) {
426 Int_t sm = track.GetSector();
427 // default value in case we have problems with the geometry.
428 Double_t xtof = 371.;
429 //Calculate radial position of the beginning of the TOF
430 //mother volume. In order to avoid mixing of the TRD
431 //and TOF modules some hard values are needed. This are:
432 //1. The path to the TOF module.
433 //2. The width of the TOF (29.05 cm)
434 //(with the help of Annalisa de Caro Mar-17-2009)
436 gGeoManager->cd(Form("/ALIC_1/B077_1/BSEGMO%d_1/BTOF%d_1", sm, sm));
437 TGeoHMatrix *m = NULL;
438 Double_t loc[]={0., 0., -.5*29.05}, glob[3];
440 if((m=gGeoManager->GetCurrentMatrix())){
441 m->LocalToMaster(loc, glob);
442 xtof = TMath::Sqrt(glob[0]*glob[0]+glob[1]*glob[1]);
445 if(xtof > (AliTRDReconstructor::GetMaxStep() + track.GetX()) && !PropagateToX(track, xtof, AliTRDReconstructor::GetMaxStep())){
446 seed->UpdateTrackParams(&track, AliESDtrack::kTRDStop);
449 if(!AdjustSector(&track)){
450 seed->UpdateTrackParams(&track, AliESDtrack::kTRDStop);
453 if(TMath::Abs(track.GetSnp()) > AliTRDReconstructor::GetMaxSnp()){
454 seed->UpdateTrackParams(&track, AliESDtrack::kTRDStop);
457 //seed->UpdateTrackParams(&track, AliESDtrack::kTRDout);
458 // TODO obsolete - delete
459 seed->SetTRDQuality(track.StatusForTOF());
461 seed->SetTRDBudget(track.GetBudget(0));
463 if(index) delete [] index;
464 if(quality) delete [] quality;
466 AliInfo(Form("Number of seeds: TPCout[%d] TRDin[%d]", nTPCseeds, nTRDseeds));
467 AliInfo(Form("Number of tracks: TRDout[%d] TRDbackup[%d]", nFound, nBacked));
469 // run stand alone tracking
470 if (fkReconstructor->IsSeeding()) Clusters2Tracks(event);
476 //____________________________________________________________________
477 Int_t AliTRDtrackerV1::RefitInward(AliESDEvent *event)
480 // Refits tracks within the TRD. The ESD event is expected to contain seeds
481 // at the outer part of the TRD.
482 // The tracks are propagated to the innermost time bin
483 // of the TRD and the ESD event is updated
484 // Origin: Thomas KUHR (Thomas.Kuhr@cern.ch)
487 Int_t nseed = 0; // contor for loaded seeds
488 Int_t found = 0; // contor for updated TRD tracks
491 if(!fClusters || !fClusters->GetEntriesFast()){
492 AliInfo("No TRD clusters");
496 for (Int_t itrack = 0; itrack < event->GetNumberOfTracks(); itrack++) {
497 AliESDtrack *seed = event->GetTrack(itrack);
498 ULong_t status = seed->GetStatus();
500 new(&track) AliTRDtrackV1(*seed);
501 if (track.GetX() < 270.0) {
502 seed->UpdateTrackParams(&track, AliESDtrack::kTRDbackup);
506 // reject tracks which failed propagation in the TRD or
507 // are produced by the TRD stand alone tracker
508 if(!(status & AliESDtrack::kTRDout)) continue;
509 if(!(status & AliESDtrack::kTRDin)) continue;
512 track.ResetCovariance(50.0);
514 // do the propagation and processing
515 Bool_t kUPDATE = kFALSE;
516 Double_t xTPC = 250.0;
517 if(FollowProlongation(track)){
518 // Update the friend track
519 if (fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 0){
520 TObject *o = NULL; Int_t ic = 0;
521 AliTRDtrackV1 *calibTrack = NULL;
522 while((o = seed->GetCalibObject(ic++))){
523 if(!(calibTrack = dynamic_cast<AliTRDtrackV1*>(o))) continue;
524 calibTrack->SetTrackOut(&track);
529 if (PropagateToX(track, xTPC, AliTRDReconstructor::GetMaxStep())) { // -with update
530 seed->UpdateTrackParams(&track, AliESDtrack::kTRDrefit);
536 // Prolongate to TPC without update
538 AliTRDtrackV1 tt(*seed);
539 if (PropagateToX(tt, xTPC, AliTRDReconstructor::GetMaxStep())) seed->UpdateTrackParams(&tt, AliESDtrack::kTRDbackup);
542 AliInfo(Form("Number of seeds: TRDout[%d]", nseed));
543 AliInfo(Form("Number of tracks: TRDrefit[%d]", found));
548 //____________________________________________________________________
549 Int_t AliTRDtrackerV1::FollowProlongation(AliTRDtrackV1 &t)
551 // Extrapolates the TRD track in the TPC direction.
554 // t : the TRD track which has to be extrapolated
557 // number of clusters attached to the track
559 // Detailed description
561 // Starting from current radial position of track <t> this function
562 // extrapolates the track through the 6 TRD layers. The following steps
563 // are being performed for each plane:
565 // a. get plane limits in the local x direction
566 // b. check crossing sectors
567 // c. check track inclination
568 // 2. search tracklet in the tracker list (see GetTracklet() for details)
569 // 3. evaluate material budget using the geo manager
570 // 4. propagate and update track using the tracklet information.
575 Int_t nClustersExpected = 0;
576 for (Int_t iplane = kNPlanes; iplane--;) {
578 AliTRDseedV1 *tracklet = GetTracklet(&t, iplane, index);
579 AliDebug(2, Form("Tracklet[%p] ly[%d] idx[%d]", (void*)tracklet, iplane, index));
580 if(!tracklet) continue;
581 if(!tracklet->IsOK()){
582 AliDebug(1, Form("Tracklet Det[%d] !OK", tracklet->GetDetector()));
585 tracklet->FitRobust();
586 Double_t x = tracklet->GetX();//GetX0();
587 // reject tracklets which are not considered for inward refit
588 if(x > t.GetX()+AliTRDReconstructor::GetMaxStep()) continue;
590 // append tracklet to track
591 t.SetTracklet(tracklet, index);
593 if (x < (t.GetX()-AliTRDReconstructor::GetMaxStep()) && !PropagateToX(t, x+AliTRDReconstructor::GetMaxStep(), AliTRDReconstructor::GetMaxStep())) break;
594 if (!AdjustSector(&t)) break;
596 // Start global position
600 // End global position
601 Double_t alpha = t.GetAlpha(), y, z;
602 if (!t.GetProlongation(x,y,z)) break;
604 xyz1[0] = x * TMath::Cos(alpha) - y * TMath::Sin(alpha);
605 xyz1[1] = x * TMath::Sin(alpha) + y * TMath::Cos(alpha);
608 Double_t length = TMath::Sqrt(
609 (xyz0[0]-xyz1[0])*(xyz0[0]-xyz1[0]) +
610 (xyz0[1]-xyz1[1])*(xyz0[1]-xyz1[1]) +
611 (xyz0[2]-xyz1[2])*(xyz0[2]-xyz1[2])
614 // Get material budget
616 if(AliTracker::MeanMaterialBudget(xyz0, xyz1, param)<=0.) break;
617 Double_t xrho= param[0]*param[4];
618 Double_t xx0 = param[1]; // Get mean propagation parameters
620 // Propagate and update
621 t.PropagateTo(x, xx0, xrho);
622 if (!AdjustSector(&t)) break;
625 Double_t cov[3]; tracklet->GetCovAt(x, cov);
626 Double_t p[2] = { tracklet->GetY(), tracklet->GetZ()};
627 Double_t chi2 = ((AliExternalTrackParam)t).GetPredictedChi2(p, cov);
628 AliInfo(Form("Pl:%d X:%+e : %+e P: %+e %+e Cov:%+e %+e %+e -> dXY: %+e %+e | chi2:%.2f pT:%.2f alp:%.3f",
629 iplane,x,t.GetX(),p[0],p[1],cov[0],cov[1],cov[2],
630 p[0]-t.GetY(),p[1]-t.GetZ(),
631 chi2,t.Pt()*t.Charge(),t.GetAlpha()));
632 if (chi2 < 1e+10 && ((AliExternalTrackParam&)t).Update(p, cov)){
633 // Register info to track
634 t.SetNumberOfClusters();
636 nClustersExpected += tracklet->GetN();
640 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 1){
642 for(int iplane=0; iplane<AliTRDgeometry::kNlayer; iplane++){
643 AliTRDseedV1 *tracklet = GetTracklet(&t, iplane, index);
644 if(!tracklet) continue;
645 t.SetTracklet(tracklet, index);
648 if(fkReconstructor->IsDebugStreaming()){
649 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
650 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
651 AliTRDtrackV1 track(t);
653 cstreamer << "FollowProlongation"
654 << "EventNumber=" << eventNumber
655 << "ncl=" << nClustersExpected
656 << "track.=" << &track
660 return nClustersExpected;
664 //_____________________________________________________________________________
665 Int_t AliTRDtrackerV1::FollowBackProlongation(AliTRDtrackV1 &t)
667 // Extrapolates/Build the TRD track in the TOF direction.
670 // t : the TRD track which has to be extrapolated
673 // number of clusters attached to the track
675 // Starting from current radial position of track <t> this function
676 // extrapolates the track through the 6 TRD layers. The following steps
677 // are being performed for each plane:
678 // 1. Propagate track to the entrance of the next chamber:
679 // - get chamber limits in the radial direction
680 // - check crossing sectors
681 // - check track inclination
682 // - check track prolongation against boundary conditions (see exclusion boundaries on AliTRDgeometry::IsOnBoundary())
683 // 2. Build tracklet (see AliTRDseed::AttachClusters() for details) for this layer if needed. If only
684 // Kalman filter is needed and tracklets are already linked to the track this step is skipped.
685 // 3. Fit tracklet using the information from the Kalman filter.
686 // 4. Propagate and update track at reference radial position of the tracklet.
687 // 5. Register tracklet with the tracker and track; update pulls monitoring.
690 // 1. During the propagation a bit map is filled detailing the status of the track in each TRD chamber. The following errors are being registered for each tracklet:
691 // - AliTRDtrackV1::kProlongation : track prolongation failed
692 // - AliTRDtrackV1::kPropagation : track prolongation failed
693 // - AliTRDtrackV1::kAdjustSector : failed during sector crossing
694 // - AliTRDtrackV1::kSnp : too large bending
695 // - AliTRDtrackV1::kTrackletInit : fail to initialize tracklet
696 // - AliTRDtrackV1::kUpdate : fail to attach clusters or fit the tracklet
697 // - AliTRDtrackV1::kUnknown : anything which is not covered before
698 // 2. By default the status of the track before first TRD update is saved.
703 // Alexandru Bercuci <A.Bercuci@gsi.de>
707 Double_t driftLength = .5*AliTRDgeometry::AmThick() + AliTRDgeometry::DrThick();
708 AliTRDtrackingChamber *chamber = NULL;
710 Int_t debugLevel = fkReconstructor->IsDebugStreaming() ? fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) : 0;
711 TTreeSRedirector *cstreamer = fkReconstructor->IsDebugStreaming() ? fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker) : 0x0;
713 Bool_t kStoreIn(kTRUE), // toggel store track params. at TRD entry
714 kStandAlone(kFALSE), // toggle tracker awarness of stand alone seeding
715 kUseTRD(fkRecoParam->IsOverPtThreshold(t.Pt()));// use TRD measurment to update Kalman
718 AliTRDseedV1 tracklet, *ptrTracklet = NULL;
719 // Special case for stand alone tracking
720 // - store all tracklets found by seeding
721 // - start propagation from first tracklet found
722 AliTRDseedV1 *tracklets[kNPlanes];
723 memset(tracklets, 0, sizeof(AliTRDseedV1 *) * kNPlanes);
724 for(Int_t ip(kNPlanes); ip--;){
725 if(!(tracklets[ip] = t.GetTracklet(ip))) continue;
727 if(tracklets[ip]->IsOK()) startLayer=ip;
731 AliDebug(4, Form("SA[%c] Start[%d]\n"
732 " [0]idx[%d] traklet[%p]\n"
733 " [1]idx[%d] traklet[%p]\n"
734 " [2]idx[%d] traklet[%p]\n"
735 " [3]idx[%d] traklet[%p]\n"
736 " [4]idx[%d] traklet[%p]\n"
737 " [5]idx[%d] traklet[%p]"
738 , kStandAlone?'y':'n', startLayer
739 , t.GetTrackletIndex(0), (void*)tracklets[0]
740 , t.GetTrackletIndex(1), (void*)tracklets[1]
741 , t.GetTrackletIndex(2), (void*)tracklets[2]
742 , t.GetTrackletIndex(3), (void*)tracklets[3]
743 , t.GetTrackletIndex(4), (void*)tracklets[4]
744 , t.GetTrackletIndex(5), (void*)tracklets[5]));
746 // Loop through the TRD layers
747 TGeoHMatrix *matrix = NULL;
748 Double_t x(0.), y(0.), z(0.);
749 for (Int_t ily=startLayer, sm=-1, stk=-1, det=-1; ily < AliTRDgeometry::kNlayer; ily++) {
750 AliDebug(2, Form("Propagate to x[%d] = %7.2f", ily, fR[ily]));
752 // rough estimate of the entry point
753 if (!t.GetProlongation(fR[ily], y, z)){
755 t.SetErrStat(AliTRDtrackV1::kProlongation);
756 AliDebug(4, Form("Failed Rough Prolongation to ly[%d] x[%7.2f] y[%7.2f] z[%7.2f]", ily, fR[ily], y, z));
760 // find sector / stack / detector
762 // TODO cross check with y value !
763 stk = fGeom->GetStack(z, ily);
764 det = stk>=0 ? AliTRDgeometry::GetDetector(ily, stk, sm) : -1;
765 matrix = det>=0 ? fGeom->GetClusterMatrix(det) : NULL;
767 // check if supermodule/chamber is installed
768 if( !fGeom->GetSMstatus(sm) ||
770 fGeom->IsHole(ily, stk, sm) ||
772 AliDebug(4, Form("Missing Geometry ly[%d]. Guess radial position", ily));
773 // propagate to the default radial position
774 if(fR[ily] > (AliTRDReconstructor::GetMaxStep() + t.GetX()) && !PropagateToX(t, fR[ily], AliTRDReconstructor::GetMaxStep())){
776 t.SetErrStat(AliTRDtrackV1::kPropagation);
777 AliDebug(4, "Failed Propagation [Missing Geometry]");
780 if(!AdjustSector(&t)){
782 t.SetErrStat(AliTRDtrackV1::kAdjustSector);
783 AliDebug(4, "Failed Adjust Sector [Missing Geometry]");
786 if(TMath::Abs(t.GetSnp()) > AliTRDReconstructor::GetMaxSnp()){
788 t.SetErrStat(AliTRDtrackV1::kSnp);
789 AliDebug(4, "Failed Max Snp [Missing Geometry]");
792 t.SetErrStat(AliTRDtrackV1::kGeometry, ily);
796 // retrieve rotation matrix for the current chamber
797 Double_t loc[] = {AliTRDgeometry::AnodePos()- driftLength, 0., 0.};
798 Double_t glb[] = {0., 0., 0.};
799 matrix->LocalToMaster(loc, glb);
800 AliDebug(3, Form("Propagate to det[%3d] x_anode[%7.2f] (%f %f)", det, glb[0]+driftLength, glb[1], glb[2]));
802 // Propagate to the radial distance of the current layer
803 x = glb[0] - AliTRDReconstructor::GetMaxStep();
804 if(x > (AliTRDReconstructor::GetMaxStep() + t.GetX()) && !PropagateToX(t, x, AliTRDReconstructor::GetMaxStep())){
806 t.SetErrStat(AliTRDtrackV1::kPropagation);
807 AliDebug(4, Form("Failed Initial Propagation to x[%7.2f]", x));
810 if(!AdjustSector(&t)){
812 t.SetErrStat(AliTRDtrackV1::kAdjustSector);
813 AliDebug(4, "Failed Adjust Sector Start");
816 if(TMath::Abs(t.GetSnp()) > AliTRDReconstructor::GetMaxSnp()) {
818 t.SetErrStat(AliTRDtrackV1::kSnp);
819 AliDebug(4, Form("Failed Max Snp[%f] MaxSnp[%f]", t.GetSnp(), AliTRDReconstructor::GetMaxSnp()));
822 Bool_t doRecalculate = kFALSE;
823 if(sm != t.GetSector()){
825 doRecalculate = kTRUE;
827 if(stk != fGeom->GetStack(z, ily)){
828 stk = fGeom->GetStack(z, ily);
829 doRecalculate = kTRUE;
832 det = AliTRDgeometry::GetDetector(ily, stk, sm);
833 if(!(matrix = fGeom->GetClusterMatrix(det))){
834 t.SetErrStat(AliTRDtrackV1::kGeometry, ily);
835 AliDebug(4, Form("Failed Geometry Matrix ly[%d]", ily));
838 matrix->LocalToMaster(loc, glb);
839 x = glb[0] - AliTRDReconstructor::GetMaxStep();
842 // check if track is well inside fiducial volume
843 if (!t.GetProlongation(x+AliTRDReconstructor::GetMaxStep(), y, z)) {
845 t.SetErrStat(AliTRDtrackV1::kProlongation);
846 AliDebug(4, Form("Failed Prolongation to x[%7.2f] y[%7.2f] z[%7.2f]", x+AliTRDReconstructor::GetMaxStep(), y, z));
849 if(fGeom->IsOnBoundary(det, y, z, .5)){
850 t.SetErrStat(AliTRDtrackV1::kBoundary, ily);
851 AliDebug(4, "Failed Track on Boundary");
855 ptrTracklet = tracklets[ily];
856 if(!ptrTracklet){ // BUILD TRACKLET
857 AliDebug(3, Form("Building tracklet det[%d]", det));
858 // check data in supermodule
859 if(!fTrSec[sm].GetNChambers()){
860 t.SetErrStat(AliTRDtrackV1::kNoClusters, ily);
861 AliDebug(4, "Failed NoClusters");
864 if(fTrSec[sm].GetX(ily) < 1.){
865 t.SetErrStat(AliTRDtrackV1::kNoClusters, ily);
866 AliDebug(4, "Failed NoX");
870 // check data in chamber
871 if(!(chamber = fTrSec[sm].GetChamber(stk, ily))){
872 t.SetErrStat(AliTRDtrackV1::kNoClusters, ily);
873 AliDebug(4, "Failed No Detector");
876 if(chamber->GetNClusters() < fgNTimeBins*fkRecoParam ->GetFindableClusters()){
877 t.SetErrStat(AliTRDtrackV1::kNoClusters, ily);
878 AliDebug(4, "Failed Not Enough Clusters in Detector");
882 tracklet.~AliTRDseedV1();
883 ptrTracklet = new(&tracklet) AliTRDseedV1(det);
884 ptrTracklet->SetReconstructor(fkReconstructor);
885 ptrTracklet->SetKink(t.IsKink());
886 ptrTracklet->SetPrimary(t.IsPrimary());
887 ptrTracklet->SetPadPlane(fGeom->GetPadPlane(ily, stk));
888 ptrTracklet->SetX0(glb[0]+driftLength);
889 if(!ptrTracklet->Init(&t)){
891 t.SetErrStat(AliTRDtrackV1::kTrackletInit);
892 AliDebug(4, "Failed Tracklet Init");
895 // Select attachment base on track to B field sign not only track charge which is buggy
896 // mark kFALSE same sign tracks and kTRUE opposite sign tracks
897 // A.Bercuci 3.11.2011
898 Float_t prod(t.GetBz()*t.Charge());
899 if(!ptrTracklet->AttachClusters(chamber, kTRUE, prod<0.?kTRUE:kFALSE, fEventInFile)){
900 t.SetErrStat(AliTRDtrackV1::kNoAttach, ily);
902 AliTRDseedV1 trackletCp(*ptrTracklet);
903 UChar_t status(t.GetStatusTRD(ily));
904 (*cstreamer) << "FollowBackProlongation4"
905 <<"status=" << status
906 <<"tracklet.=" << &trackletCp
909 AliDebug(4, "Failed Attach Clusters");
912 AliDebug(3, Form("Number of Clusters in Tracklet: %d", ptrTracklet->GetN()));
913 if(ptrTracklet->GetN() < fgNTimeBins*fkRecoParam->GetFindableClusters()){
914 t.SetErrStat(AliTRDtrackV1::kNoClustersTracklet, ily);
916 AliTRDseedV1 trackletCp(*ptrTracklet);
917 UChar_t status(t.GetStatusTRD(ily));
918 (*cstreamer) << "FollowBackProlongation4"
919 <<"status=" << status
920 <<"tracklet.=" << &trackletCp
923 AliDebug(4, "Failed N Clusters Attached");
926 ptrTracklet->UpdateUsed();
927 } else AliDebug(2, Form("Use external tracklet ly[%d]", ily));
928 // propagate track to the radial position of the tracklet
931 // tilt correction options
933 // 2 : pseudo tilt correction
934 if(!ptrTracklet->FitRobust(t.Charge()>0?kTRUE:kFALSE)){
935 t.SetErrStat(AliTRDtrackV1::kNoFit, ily);
936 AliDebug(4, "Failed Tracklet Fit");
939 x = ptrTracklet->GetX(); //GetX0();
940 if(x > (AliTRDReconstructor::GetMaxStep() + t.GetX()) && !PropagateToX(t, x, AliTRDReconstructor::GetMaxStep())) {
942 t.SetErrStat(AliTRDtrackV1::kPropagation);
943 AliDebug(4, Form("Failed Propagation to Tracklet x[%7.2f]", x));
946 if(!AdjustSector(&t)) {
948 t.SetErrStat(AliTRDtrackV1::kAdjustSector);
949 AliDebug(4, "Failed Adjust Sector");
952 if(TMath::Abs(t.GetSnp()) > AliTRDReconstructor::GetMaxSnp()) {
954 t.SetErrStat(AliTRDtrackV1::kSnp);
955 AliDebug(4, Form("Failed Max Snp[%f] MaxSnp[%f]", t.GetSnp(), AliTRDReconstructor::GetMaxSnp()));
958 Double_t cov[3]; ptrTracklet->GetCovAt(x, cov);
959 Double_t p[2] = { ptrTracklet->GetY(), ptrTracklet->GetZ()};
960 Double_t chi2 = ((AliExternalTrackParam)t).GetPredictedChi2(p, cov);
962 AliInfo(Form("Pl:%d X:%+e : %+e P: %+e %+e Cov:%+e %+e %+e -> dXY: %+e %+e | chi2:%.2f pT:%.2f alp:%.3f",
963 ily,x,t.GetX(),p[0],p[1],cov[0],cov[1],cov[2],
964 p[0]-t.GetY(),p[1]-t.GetZ(),
965 chi2,t.Pt()*t.Charge(),t.GetAlpha()));
967 // update Kalman with the TRD measurement
969 // if(chi2>1e+10){ // TODO
970 t.SetErrStat(AliTRDtrackV1::kChi2, ily);
972 UChar_t status(t.GetStatusTRD());
973 AliTRDseedV1 trackletCp(*ptrTracklet);
974 AliTRDtrackV1 trackCp(t);
976 (*cstreamer) << "FollowBackProlongation3"
977 << "status=" << status
978 << "tracklet.=" << &trackletCp
979 << "track.=" << &trackCp
982 AliDebug(4, Form("Failed Chi2[%f]", chi2));
985 // mark track as entering the FIDUCIAL volume of TRD
991 if(!((AliExternalTrackParam&)t).Update(p, cov)) {
993 t.SetErrStat(AliTRDtrackV1::kUpdate);
995 UChar_t status(t.GetStatusTRD());
996 AliTRDseedV1 trackletCp(*ptrTracklet);
997 AliTRDtrackV1 trackCp(t);
999 (*cstreamer) << "FollowBackProlongation3"
1000 << "status=" << status
1001 << "tracklet.=" << &trackletCp
1002 << "track.=" << &trackCp
1005 AliDebug(4, Form("Failed Track Update @ y[%7.2f] z[%7.2f] s2y[%f] s2z[%f] covyz[%f]", p[0], p[1], cov[0], cov[2], cov[1]));
1009 if(!kStandAlone) ptrTracklet->UseClusters();
1010 // fill residuals ?!
1011 AliTracker::FillResiduals(&t, p, cov, ptrTracklet->GetVolumeId());
1014 // register tracklet with the tracker and track
1015 // Save inside the tracklet the track parameters BEFORE track update.
1016 // Commented out their overwriting AFTER track update
1017 // A.Bercuci 3.11.2011
1018 //ptrTracklet->Update(&t);
1019 ptrTracklet = SetTracklet(ptrTracklet);
1020 Int_t index(fTracklets->GetEntriesFast()-1);
1021 t.SetTracklet(ptrTracklet, index);
1022 // Register info to track
1023 t.SetNumberOfClusters();
1026 n += ptrTracklet->GetN();
1027 AliDebug(2, Form("Setting Tracklet[%d] @ Idx[%d]", ily, index));
1029 // Reset material budget if 2 consecutive gold
1030 // if(ilayer>0 && t.GetTracklet(ilayer-1) && ptrTracklet->GetN() + t.GetTracklet(ilayer-1)->GetN() > 20) t.SetBudget(2, 0.);
1032 // Make backup of the track until is gold
1034 if(!kStandAlone && (failed = t.MakeBackupTrack())) AliDebug(2, Form("Failed backup on cut[%d]", failed));
1036 } // end layers loop
1037 //printf("clusters[%d] chi2[%f] x[%f] status[%d ", n, t.GetChi2(), t.GetX(), t.GetStatusTRD());
1038 //for(int i=0; i<6; i++) printf("%d ", t.GetStatusTRD(i)); printf("]\n");
1040 if(n && debugLevel > 1){
1041 //Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
1042 AliTRDtrackV1 track(t);
1044 (*cstreamer) << "FollowBackProlongation2"
1045 << "EventNumber=" << fEventInFile
1046 << "track.=" << &track
1053 //_________________________________________________________________________
1054 Float_t AliTRDtrackerV1::FitRieman(AliTRDseedV1 *tracklets, Double_t *chi2, Int_t *const planes){
1056 // Fits a Riemann-circle to the given points without tilting pad correction.
1057 // The fit is performed using an instance of the class AliRieman (equations
1058 // and transformations see documentation of this class)
1059 // Afterwards all the tracklets are Updated
1061 // Parameters: - Array of tracklets (AliTRDseedV1)
1062 // - Storage for the chi2 values (beginning with direction z)
1063 // - Seeding configuration
1064 // Output: - The curvature
1066 AliRieman *fitter = AliTRDtrackerV1::GetRiemanFitter();
1068 Int_t allplanes[] = {0, 1, 2, 3, 4, 5};
1069 Int_t *ppl = &allplanes[0];
1070 Int_t maxLayers = 6;
1075 for(Int_t il = 0; il < maxLayers; il++){
1076 if(!tracklets[ppl[il]].IsOK()) continue;
1077 fitter->AddPoint(tracklets[ppl[il]].GetX0(), tracklets[ppl[il]].GetYfit(0), tracklets[ppl[il]].GetZfit(0),1,10);
1080 // Set the reference position of the fit and calculate the chi2 values
1081 memset(chi2, 0, sizeof(Double_t) * 2);
1082 for(Int_t il = 0; il < maxLayers; il++){
1083 // Reference positions
1084 tracklets[ppl[il]].Init(fitter);
1087 if((!tracklets[ppl[il]].IsOK()) && (!planes)) continue;
1088 chi2[0] += tracklets[ppl[il]].GetChi2Y();
1089 chi2[1] += tracklets[ppl[il]].GetChi2Z();
1091 return fitter->GetC();
1094 //_________________________________________________________________________
1095 void AliTRDtrackerV1::FitRieman(AliTRDcluster **seedcl, Double_t chi2[2])
1098 // Performs a Riemann helix fit using the seedclusters as spacepoints
1099 // Afterwards the chi2 values are calculated and the seeds are updated
1101 // Parameters: - The four seedclusters
1102 // - The tracklet array (AliTRDseedV1)
1103 // - The seeding configuration
1108 AliRieman *fitter = AliTRDtrackerV1::GetRiemanFitter();
1110 for(Int_t i = 0; i < 4; i++){
1111 fitter->AddPoint(seedcl[i]->GetX(), seedcl[i]->GetY(), seedcl[i]->GetZ(), 1., 10.);
1116 // Update the seed and calculated the chi2 value
1117 chi2[0] = 0; chi2[1] = 0;
1118 for(Int_t ipl = 0; ipl < kNSeedPlanes; ipl++){
1120 chi2[0] += (seedcl[ipl]->GetZ() - fitter->GetZat(seedcl[ipl]->GetX())) * (seedcl[ipl]->GetZ() - fitter->GetZat(seedcl[ipl]->GetX()));
1121 chi2[1] += (seedcl[ipl]->GetY() - fitter->GetYat(seedcl[ipl]->GetX())) * (seedcl[ipl]->GetY() - fitter->GetYat(seedcl[ipl]->GetX()));
1126 //_________________________________________________________________________
1127 Float_t AliTRDtrackerV1::FitTiltedRiemanConstraint(AliTRDseedV1 *tracklets, Double_t zVertex)
1130 // Fits a helix to the clusters. Pad tilting is considered. As constraint it is
1131 // assumed that the vertex position is set to 0.
1132 // This method is very usefull for high-pt particles
1133 // Basis for the fit: (x - x0)^2 + (y - y0)^2 - R^2 = 0
1134 // x0, y0: Center of the circle
1135 // Measured y-position: ymeas = y - tan(phiT)(zc - zt)
1136 // zc: center of the pad row
1137 // Equation which has to be fitted (after transformation):
1138 // a + b * u + e * v + 2*(ymeas + tan(phiT)(z - zVertex))*t = 0
1140 // t = 1/(x^2 + y^2)
1142 // v = 2 * x * tan(phiT) * t
1143 // Parameters in the equation:
1144 // a = -1/y0, b = x0/y0, e = dz/dx
1146 // The Curvature is calculated by the following equation:
1147 // - curv = a/Sqrt(b^2 + 1) = 1/R
1148 // Parameters: - the 6 tracklets
1149 // - the Vertex constraint
1150 // Output: - the Chi2 value of the track
1155 TLinearFitter *fitter = GetTiltedRiemanFitterConstraint();
1156 fitter->StoreData(kTRUE);
1157 fitter->ClearPoints();
1158 AliTRDcluster *cl = NULL;
1160 Float_t x, y, z, w, t, error, tilt;
1163 for(Int_t ilr = 0; ilr < AliTRDgeometry::kNlayer; ilr++){
1164 if(!tracklets[ilr].IsOK()) continue;
1165 for(Int_t itb = 0; itb < AliTRDseedV1::kNclusters; itb++){
1166 if(!tracklets[ilr].IsUsable(itb)) continue;
1167 if(!(cl = tracklets[ilr].GetClusters(itb))) continue;
1168 if(!cl->IsInChamber()) continue;
1172 tilt = tracklets[ilr].GetTilt();
1174 t = 1./(x * x + y * y);
1175 uvt[0] = 2. * x * t;
1176 uvt[1] = 2. * x * t * tilt ;
1177 w = 2. * (y + tilt * (z - zVertex)) * t;
1178 error = 2. * TMath::Sqrt(cl->GetSigmaY2()+tilt*tilt*cl->GetSigmaZ2()) * t;
1179 fitter->AddPoint(uvt, w, error);
1185 // Calculate curvature
1186 Double_t a = fitter->GetParameter(0);
1187 Double_t b = fitter->GetParameter(1);
1188 Double_t curvature = a/TMath::Sqrt(b*b + 1);
1190 Float_t chi2track = 0.0;
1192 chi2track = fitter->GetChisquare()/Double_t(nPoints);
1194 for(Int_t ip = 0; ip < AliTRDtrackerV1::kNPlanes; ip++)
1195 tracklets[ip].SetC(curvature, 1);
1197 if(AliLog::GetDebugLevel("TRD", "AliTRDtrackerV1")>3) printf("D-AliTRDtrackerV1::FitTiltedRiemanConstraint: Chi2[%f] C[%5.2e] pt[%8.3f]\n", chi2track, curvature, GetBz()*kB2C/curvature);
1199 /* if(fkReconstructor->GetRecoParam()->GetStreamLevel(AliTRDrecoParam::kTracker()) >= 5){
1200 //Linear Model on z-direction
1201 Double_t xref = CalculateReferenceX(tracklets); // Relative to the middle of the stack
1202 Double_t slope = fitter->GetParameter(2);
1203 Double_t zref = slope * xref;
1204 Float_t chi2Z = CalculateChi2Z(tracklets, zref, slope, xref);
1205 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
1206 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
1207 TTreeSRedirector &treeStreamer = *fkReconstructor->GetDebugStream(AliTRDReconstructor::kTracker);
1208 treeStreamer << "FitTiltedRiemanConstraint"
1209 << "EventNumber=" << eventNumber
1210 << "CandidateNumber=" << candidateNumber
1211 << "Curvature=" << curvature
1212 << "Chi2Track=" << chi2track
1213 << "Chi2Z=" << chi2Z
1220 //_________________________________________________________________________
1221 Float_t AliTRDtrackerV1::FitTiltedRieman(AliTRDseedV1 *tracklets, Bool_t sigError)
1224 // Performs a Riemann fit taking tilting pad correction into account
1225 // The equation of a Riemann circle, where the y position is substituted by the
1226 // measured y-position taking pad tilting into account, has to be transformed
1227 // into a 4-dimensional hyperplane equation
1228 // Riemann circle: (x-x0)^2 + (y-y0)^2 -R^2 = 0
1229 // Measured y-Position: ymeas = y - tan(phiT)(zc - zt)
1230 // zc: center of the pad row
1231 // zt: z-position of the track
1232 // The z-position of the track is assumed to be linear dependent on the x-position
1233 // Transformed equation: a + b * u + c * t + d * v + e * w - 2 * (ymeas + tan(phiT) * zc) * t = 0
1234 // Transformation: u = 2 * x * t
1235 // v = 2 * tan(phiT) * t
1236 // w = 2 * tan(phiT) * (x - xref) * t
1237 // t = 1 / (x^2 + ymeas^2)
1238 // Parameters: a = -1/y0
1240 // c = (R^2 -x0^2 - y0^2)/y0
1243 // If the offset respectively the slope in z-position is impossible, the parameters are fixed using
1244 // results from the simple riemann fit. Afterwards the fit is redone.
1245 // The curvature is calculated according to the formula:
1246 // curv = a/(1 + b^2 + c*a) = 1/R
1248 // Paramters: - Array of tracklets (connected to the track candidate)
1249 // - Flag selecting the error definition
1250 // Output: - Chi2 values of the track (in Parameter list)
1252 TLinearFitter *fitter = GetTiltedRiemanFitter();
1253 fitter->StoreData(kTRUE);
1254 fitter->ClearPoints();
1255 AliTRDLeastSquare zfitter;
1256 AliTRDcluster *cl = NULL;
1258 Double_t xref = CalculateReferenceX(tracklets);
1259 Double_t x, y, z, t, tilt, dx, w, we, erry, errz;
1260 Double_t uvt[4], sumPolY[5], sumPolZ[3];
1261 memset(sumPolY, 0, sizeof(Double_t) * 5);
1262 memset(sumPolZ, 0, sizeof(Double_t) * 3);
1264 // Containers for Least-square fitter
1265 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
1266 if(!tracklets[ipl].IsOK()) continue;
1267 tilt = tracklets[ipl].GetTilt();
1268 for(Int_t itb = 0; itb < AliTRDseedV1::kNclusters; itb++){
1269 if(!(cl = tracklets[ipl].GetClusters(itb))) continue;
1270 if(!cl->IsInChamber()) continue;
1271 if (!tracklets[ipl].IsUsable(itb)) continue;
1278 uvt[0] = 2. * x * t;
1280 uvt[2] = 2. * tilt * t;
1281 uvt[3] = 2. * tilt * dx * t;
1282 w = 2. * (y + tilt*z) * t;
1283 // error definition changes for the different calls
1285 we *= sigError ? TMath::Sqrt(cl->GetSigmaY2()+tilt*tilt*cl->GetSigmaZ2()) : 0.2;
1286 fitter->AddPoint(uvt, w, we);
1287 zfitter.AddPoint(&x, z, static_cast<Double_t>(TMath::Sqrt(cl->GetSigmaZ2())));
1288 // adding points for covariance matrix estimation
1289 erry = 1./(TMath::Sqrt(cl->GetSigmaY2()) + 0.1); // 0.1 is a systematic error (due to misalignment and miscalibration)
1291 errz = 1./cl->GetSigmaZ2();
1292 for(Int_t ipol = 0; ipol < 5; ipol++){
1293 sumPolY[ipol] += erry;
1296 sumPolZ[ipol] += errz;
1303 if (fitter->Eval()) return 1.e10;
1306 Double_t offset = fitter->GetParameter(3);
1307 Double_t slope = fitter->GetParameter(4);
1309 // Linear fitter - not possible to make boundaries
1310 // Do not accept non possible z and dzdx combinations
1311 Bool_t acceptablez = kTRUE;
1312 Double_t zref = 0.0;
1313 for (Int_t iLayer = 0; iLayer < kNPlanes; iLayer++) {
1314 if(!tracklets[iLayer].IsOK()) continue;
1315 zref = offset + slope * (tracklets[iLayer].GetX0() - xref);
1316 if (TMath::Abs(tracklets[iLayer].GetZfit(0) - zref) > tracklets[iLayer].GetPadLength() * 0.5 + 1.0)
1317 acceptablez = kFALSE;
1320 Double_t dzmf = zfitter.GetFunctionParameter(1);
1321 Double_t zmf = zfitter.GetFunctionValue(&xref);
1322 fgTiltedRieman->FixParameter(3, zmf);
1323 fgTiltedRieman->FixParameter(4, dzmf);
1325 fitter->ReleaseParameter(3);
1326 fitter->ReleaseParameter(4);
1327 offset = fitter->GetParameter(3);
1328 slope = fitter->GetParameter(4);
1331 // Calculate Curvarture
1332 Double_t a = fitter->GetParameter(0);
1333 Double_t b = fitter->GetParameter(1);
1334 Double_t c = fitter->GetParameter(2);
1335 Double_t curvature = 1.0 + b*b - c*a;
1336 if (curvature > 0.0) curvature = a / TMath::Sqrt(curvature);
1338 Double_t chi2track = fitter->GetChisquare()/Double_t(nPoints);
1340 // Prepare error calculation
1341 TMatrixD covarPolY(3,3);
1342 covarPolY(0,0) = sumPolY[0]; covarPolY(1,1) = sumPolY[2]; covarPolY(2,2) = sumPolY[4];
1343 covarPolY(0,1) = covarPolY(1,0) = sumPolY[1];
1344 covarPolY(0,2) = covarPolY(2,0) = sumPolY[2];
1345 covarPolY(2,1) = covarPolY(1,2) = sumPolY[3];
1347 TMatrixD covarPolZ(2,2);
1348 covarPolZ(0,0) = sumPolZ[0]; covarPolZ(1,1) = sumPolZ[2];
1349 covarPolZ(1,0) = covarPolZ(0,1) = sumPolZ[1];
1352 // Update the tracklets
1355 memset(cov, 0, sizeof(Double_t) * 15);
1356 for(Int_t iLayer = 0; iLayer < AliTRDtrackerV1::kNPlanes; iLayer++) {
1358 x = tracklets[iLayer].GetX0();
1364 memset(cov, 0, sizeof(Double_t) * 3);
1365 TMatrixD transform(3,3);
1368 transform(0,2) = x*x;
1372 TMatrixD covariance(transform, TMatrixD::kMult, covarPolY);
1373 covariance *= transform.T();
1374 TMatrixD transformZ(2,2);
1375 transformZ(0,0) = transformZ(1,1) = 1;
1376 transformZ(0,1) = x;
1377 TMatrixD covarZ(transformZ, TMatrixD::kMult, covarPolZ);
1378 covarZ *= transformZ.T();
1379 // y: R^2 = (x - x0)^2 + (y - y0)^2
1380 // => y = y0 +/- Sqrt(R^2 - (x - x0)^2)
1381 // R = Sqrt() = 1/Curvature
1382 // => y = y0 +/- Sqrt(1/Curvature^2 - (x - x0)^2)
1383 Double_t res = (x * a + b); // = (x - x0)/y0
1385 res = 1.0 - c * a + b * b - res; // = (R^2 - (x - x0)^2)/y0^2
1387 res = TMath::Sqrt(res);
1388 y = (1.0 - res) / a;
1390 cov[0] = covariance(0,0);
1391 cov[2] = covarZ(0,0);
1394 // dy: R^2 = (x - x0)^2 + (y - y0)^2
1395 // => y = +/- Sqrt(R^2 - (x - x0)^2) + y0
1396 // => dy/dx = (x - x0)/Sqrt(R^2 - (x - x0)^2)
1397 // Curvature: cr = 1/R = a/Sqrt(1 + b^2 - c*a)
1398 // => dy/dx = (x - x0)/(1/(cr^2) - (x - x0)^2)
1399 Double_t x0 = -b / a;
1400 if (-c * a + b * b + 1 > 0) {
1401 if (1.0/(curvature * curvature) - (x - x0) * (x - x0) > 0.0) {
1402 Double_t yderiv = (x - x0) / TMath::Sqrt(1.0/(curvature * curvature) - (x - x0) * (x - x0));
1403 if (a < 0) yderiv *= -1.0;
1407 z = offset + slope * (x - xref);
1409 tracklets[iLayer].SetYref(0, y);
1410 tracklets[iLayer].SetYref(1, dy);
1411 tracklets[iLayer].SetZref(0, z);
1412 tracklets[iLayer].SetZref(1, dz);
1413 tracklets[iLayer].SetC(curvature);
1414 tracklets[iLayer].SetCovRef(cov);
1415 tracklets[iLayer].SetChi2(chi2track);
1417 if(AliLog::GetDebugLevel("TRD", "AliTRDtrackerV1")>3) printf("D-AliTRDtrackerV1::FitTiltedRieman: Chi2[%f] C[%5.2e] pt[%8.3f]\n", chi2track, curvature, GetBz()*kB2C/curvature);
1419 /* if(fkReconstructor->GetRecoParam()->GetStreamLevel(AliTRDrecoParam::kTracker) >=5){
1420 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
1421 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
1422 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
1423 Double_t chi2z = CalculateChi2Z(tracklets, offset, slope, xref);
1424 cstreamer << "FitTiltedRieman0"
1425 << "EventNumber=" << eventNumber
1426 << "CandidateNumber=" << candidateNumber
1428 << "Chi2Z=" << chi2z
1435 //____________________________________________________________________
1436 Double_t AliTRDtrackerV1::FitLine(const AliTRDtrackV1 *track, AliTRDseedV1 *tracklets, Bool_t err, Int_t np, AliTrackPoint *points)
1439 // Fit track with a staight line
1440 // Fills an AliTrackPoint array with np points
1441 // Function should be used to refit tracks when no magnetic field was on
1443 AliTRDLeastSquare yfitter, zfitter;
1444 AliTRDcluster *cl = NULL;
1446 AliTRDseedV1 work[kNPlanes], *tracklet = NULL;
1448 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
1449 if(!(tracklet = track->GetTracklet(ipl))) continue;
1450 if(!tracklet->IsOK()) continue;
1451 new(&work[ipl]) AliTRDseedV1(*tracklet);
1453 tracklets = &work[0];
1456 Double_t xref = CalculateReferenceX(tracklets);
1457 Double_t x, y, z, dx, ye, yr, tilt;
1458 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
1459 if(!tracklets[ipl].IsOK()) continue;
1460 for(Int_t itb = 0; itb < fgNTimeBins; itb++){
1461 if(!(cl = tracklets[ipl].GetClusters(itb))) continue;
1462 if (!tracklets[ipl].IsUsable(itb)) continue;
1466 zfitter.AddPoint(&dx, z, static_cast<Double_t>(TMath::Sqrt(cl->GetSigmaZ2())));
1470 Double_t z0 = zfitter.GetFunctionParameter(0);
1471 Double_t dzdx = zfitter.GetFunctionParameter(1);
1472 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
1473 if(!tracklets[ipl].IsOK()) continue;
1474 for(Int_t itb = 0; itb < fgNTimeBins; itb++){
1475 if(!(cl = tracklets[ipl].GetClusters(itb))) continue;
1476 if (!tracklets[ipl].IsUsable(itb)) continue;
1480 tilt = tracklets[ipl].GetTilt();
1482 yr = y + tilt*(z - z0 - dzdx*dx);
1483 // error definition changes for the different calls
1484 ye = tilt*TMath::Sqrt(cl->GetSigmaZ2());
1485 ye += err ? tracklets[ipl].GetSigmaY() : 0.2;
1486 yfitter.AddPoint(&dx, yr, ye);
1490 Double_t y0 = yfitter.GetFunctionParameter(0);
1491 Double_t dydx = yfitter.GetFunctionParameter(1);
1492 Double_t chi2 = 0.;//yfitter.GetChisquare()/Double_t(nPoints);
1494 //update track points array
1497 for(int ip=0; ip<np; ip++){
1498 points[ip].GetXYZ(xyz);
1499 xyz[1] = y0 + dydx * (xyz[0] - xref);
1500 xyz[2] = z0 + dzdx * (xyz[0] - xref);
1501 points[ip].SetXYZ(xyz);
1508 //_________________________________________________________________________
1509 Double_t AliTRDtrackerV1::FitRiemanTilt(const AliTRDtrackV1 *track, AliTRDseedV1 *tracklets, Bool_t sigError, Int_t np, AliTrackPoint *points)
1512 // Performs a Riemann fit taking tilting pad correction into account
1514 // Paramters: - Array of tracklets (connected to the track candidate)
1515 // - Flag selecting the error definition
1516 // Output: - Chi2 values of the track (in Parameter list)
1518 // The equations which has to be solved simultaneously are:
1520 // R^{2} = (x-x_{0})^{2} + (y^{*}-y_{0})^{2}
1521 // y^{*} = y - tg(h)(z - z_{t})
1522 // z_{t} = z_{0}+dzdx*(x-x_{r})
1524 // with (x, y, z) the coordinate of the cluster, (x_0, y_0, z_0) the coordinate of the center of the Riemann circle,
1525 // R its radius, x_r a constant refrence radial position in the middle of the TRD stack and dzdx the slope of the
1526 // track in the x-z plane. Using the following transformations
1528 // t = 1 / (x^{2} + y^{2})
1530 // v = 2 * tan(h) * t
1531 // w = 2 * tan(h) * (x - x_{r}) * t
1533 // One gets the following linear equation
1535 // a + b * u + c * t + d * v + e * w = 2 * (y + tg(h) * z) * t
1537 // where the coefficients have the following meaning
1541 // c = (R^{2} -x_{0}^{2} - y_{0}^{2})/y_{0}
1545 // The error calculation for the free term is thus
1547 // #sigma = 2 * #sqrt{#sigma^{2}_{y} + (tilt corr ...) + tg^{2}(h) * #sigma^{2}_{z}} * t
1550 // From this simple model one can compute chi^2 estimates and a rough approximation of pt from the curvature according
1553 // C = 1/R = a/(1 + b^{2} + c*a)
1557 // M.Ivanov <M.Ivanov@gsi.de>
1558 // A.Bercuci <A.Bercuci@gsi.de>
1559 // M.Fasel <M.Fasel@gsi.de>
1561 TLinearFitter *fitter = GetTiltedRiemanFitter();
1562 fitter->StoreData(kTRUE);
1563 fitter->ClearPoints();
1564 AliTRDLeastSquare zfitter;
1565 AliTRDcluster *cl = NULL;
1567 AliTRDseedV1 work[kNPlanes], *tracklet = NULL;
1569 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
1570 if(!(tracklet = track->GetTracklet(ipl))) continue;
1571 if(!tracklet->IsOK()) continue;
1572 new(&work[ipl]) AliTRDseedV1(*tracklet);
1574 tracklets = &work[0];
1577 Double_t xref = CalculateReferenceX(tracklets);
1578 if(AliLog::GetDebugLevel("TRD", "AliTRDtrackerV1")>3) printf("D-AliTRDtrackerV1::FitRiemanTilt:\nx0[(0)%6.2f (1)%6.2f (2)%6.2f (3)%6.2f (4)%6.2f (5)%6.2f] xref[%6.2f]", tracklets[0].GetX0(), tracklets[1].GetX0(), tracklets[2].GetX0(), tracklets[3].GetX0(), tracklets[4].GetX0(), tracklets[5].GetX0(), xref);
1579 Double_t x, y, z, t, tilt, dx, w, we;
1582 // Containers for Least-square fitter
1583 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
1584 if(!tracklets[ipl].IsOK()) continue;
1585 for(Int_t itb = 0; itb < AliTRDseedV1::kNclusters; itb++){
1586 if(!(cl = tracklets[ipl].GetClusters(itb))) continue;
1587 //if (!tracklets[ipl].IsUsable(itb)) continue;
1591 tilt = tracklets[ipl].GetTilt();
1595 uvt[0] = 2. * x * t;
1597 uvt[2] = 2. * tilt * t;
1598 uvt[3] = 2. * tilt * dx * t;
1599 w = 2. * (y + tilt*z) * t;
1600 // error definition changes for the different calls
1602 we *= sigError ? TMath::Sqrt(cl->GetSigmaY2()) : 0.2;
1603 fitter->AddPoint(uvt, w, we);
1604 zfitter.AddPoint(&x, z, static_cast<Double_t>(TMath::Sqrt(cl->GetSigmaZ2())));
1608 if(fitter->Eval()) return 1.E10;
1610 Double_t z0 = fitter->GetParameter(3);
1611 Double_t dzdx = fitter->GetParameter(4);
1614 // Linear fitter - not possible to make boundaries
1615 // Do not accept non possible z and dzdx combinations
1616 Bool_t accept = kTRUE;
1617 Double_t zref = 0.0;
1618 for (Int_t iLayer = 0; iLayer < kNPlanes; iLayer++) {
1619 if(!tracklets[iLayer].IsOK()) continue;
1620 zref = z0 + dzdx * (tracklets[iLayer].GetX0() - xref);
1621 if (TMath::Abs(tracklets[iLayer].GetZfit(0) - zref) > tracklets[iLayer].GetPadLength() * 0.5 + 1.0)
1626 Double_t dzmf = zfitter.GetFunctionParameter(1);
1627 Double_t zmf = zfitter.GetFunctionValue(&xref);
1628 fitter->FixParameter(3, zmf);
1629 fitter->FixParameter(4, dzmf);
1631 fitter->ReleaseParameter(3);
1632 fitter->ReleaseParameter(4);
1633 z0 = fitter->GetParameter(3); // = zmf ?
1634 dzdx = fitter->GetParameter(4); // = dzmf ?
1637 // Calculate Curvature
1638 Double_t a = fitter->GetParameter(0);
1639 Double_t b = fitter->GetParameter(1);
1640 Double_t c = fitter->GetParameter(2);
1641 Double_t y0 = 1. / a;
1642 Double_t x0 = -b * y0;
1643 Double_t tmp = y0*y0 + x0*x0 - c*y0;
1644 if(tmp<=0.) return 1.E10;
1645 Double_t radius = TMath::Sqrt(tmp);
1646 Double_t curvature = 1.0 + b*b - c*a;
1647 if (curvature > 0.0) curvature = a / TMath::Sqrt(curvature);
1649 // Calculate chi2 of the fit
1650 Double_t chi2 = fitter->GetChisquare()/Double_t(nPoints);
1651 if(AliLog::GetDebugLevel("TRD", "AliTRDtrackerV1")>3) printf("D-AliTRDtrackerV1::FitRiemanTilt:x0[%6.2f] y0[%6.2f] R[%6.2f] chi2[%f]\n", x0, y0, radius, chi2);
1653 // Update the tracklets
1655 for(Int_t ip = 0; ip < kNPlanes; ip++) {
1656 x = tracklets[ip].GetX0();
1657 tmp = radius*radius-(x-x0)*(x-x0);
1658 if(tmp <= 0.) continue;
1659 tmp = TMath::Sqrt(tmp);
1661 // y: R^2 = (x - x0)^2 + (y - y0)^2
1662 // => y = y0 +/- Sqrt(R^2 - (x - x0)^2)
1663 tracklets[ip].SetYref(0, y0 - (y0>0.?1.:-1)*tmp);
1664 // => dy/dx = (x - x0)/Sqrt(R^2 - (x - x0)^2)
1665 tracklets[ip].SetYref(1, (x - x0) / tmp);
1666 tracklets[ip].SetZref(0, z0 + dzdx * (x - xref));
1667 tracklets[ip].SetZref(1, dzdx);
1668 tracklets[ip].SetC(curvature);
1669 tracklets[ip].SetChi2(chi2);
1672 //update track points array
1675 for(int ip=0; ip<np; ip++){
1676 points[ip].GetXYZ(xyz);
1677 xyz[1] = TMath::Abs(xyz[0] - x0) > radius ? 100. : y0 - (y0>0.?1.:-1.)*TMath::Sqrt((radius-(xyz[0]-x0))*(radius+(xyz[0]-x0)));
1678 xyz[2] = z0 + dzdx * (xyz[0] - xref);
1679 points[ip].SetXYZ(xyz);
1687 //____________________________________________________________________
1688 Double_t AliTRDtrackerV1::FitKalman(AliTRDtrackV1 *track, AliTRDseedV1 * const tracklets, Bool_t up, Int_t np, AliTrackPoint *points)
1690 // Kalman filter implementation for the TRD.
1691 // It returns the positions of the fit in the array "points"
1693 // Author : A.Bercuci@gsi.de
1695 // printf("Start track @ x[%f]\n", track->GetX());
1697 //prepare marker points along the track
1698 Int_t ip = np ? 0 : 1;
1700 if((up?-1:1) * (track->GetX() - points[ip].GetX()) > 0.) break;
1701 //printf("AliTRDtrackerV1::FitKalman() : Skip track marker x[%d] = %7.3f. Before track start ( %7.3f ).\n", ip, points[ip].GetX(), track->GetX());
1704 //if(points) printf("First marker point @ x[%d] = %f\n", ip, points[ip].GetX());
1707 AliTRDseedV1 tracklet;
1708 AliTRDseedV1 *ptrTracklet = NULL;
1710 //Loop through the TRD planes
1711 for (Int_t jplane = 0; jplane < kNPlanes; jplane++) {
1712 // GET TRACKLET OR BUILT IT
1713 Int_t iplane = up ? jplane : kNPlanes - 1 - jplane;
1715 if(!(ptrTracklet = &tracklets[iplane])) continue;
1717 if(!(ptrTracklet = track->GetTracklet(iplane))){
1718 /*AliTRDtrackerV1 *tracker = NULL;
1719 if(!(tracker = dynamic_cast<AliTRDtrackerV1*>( AliTRDrecoParam:Tracker()))) continue;
1720 ptrTracklet = new(&tracklet) AliTRDseedV1(iplane);
1721 if(!tracker->MakeTracklet(ptrTracklet, track)) */
1725 if(!ptrTracklet->IsOK()) continue;
1727 Double_t x = ptrTracklet->GetX0();
1730 //don't do anything if next marker is after next update point.
1731 if((up?-1:1) * (points[ip].GetX() - x) - AliTRDReconstructor::GetMaxStep() < 0) break;
1732 if(((up?-1:1) * (points[ip].GetX() - track->GetX()) < 0) && !PropagateToX(*track, points[ip].GetX(), AliTRDReconstructor::GetMaxStep())) return -1.;
1734 Double_t xyz[3]; // should also get the covariance
1736 track->Global2LocalPosition(xyz, track->GetAlpha());
1737 points[ip].SetXYZ(xyz[0], xyz[1], xyz[2]);
1740 // printf("plane[%d] tracklet[%p] x[%f]\n", iplane, ptrTracklet, x);
1742 // Propagate closer to the next update point
1743 if(((up?-1:1) * (x - track->GetX()) + AliTRDReconstructor::GetMaxStep() < 0) && !PropagateToX(*track, x + (up?-1:1)*AliTRDReconstructor::GetMaxStep(), AliTRDReconstructor::GetMaxStep())) return -1.;
1745 if(!AdjustSector(track)) return -1;
1746 if(TMath::Abs(track->GetSnp()) > AliTRDReconstructor::GetMaxSnp()) return -1;
1748 //load tracklet to the tracker and the track
1750 if((index = FindTracklet(ptrTracklet)) < 0){
1751 ptrTracklet = SetTracklet(&tracklet);
1752 index = fTracklets->GetEntriesFast()-1;
1754 track->SetTracklet(ptrTracklet, index);*/
1757 // register tracklet to track with tracklet creation !!
1758 // PropagateBack : loaded tracklet to the tracker and update index
1759 // RefitInward : update index
1760 // MakeTrack : loaded tracklet to the tracker and update index
1761 if(!tracklets) track->SetTracklet(ptrTracklet, -1);
1764 //Calculate the mean material budget along the path inside the chamber
1765 Double_t xyz0[3]; track->GetXYZ(xyz0);
1766 Double_t alpha = track->GetAlpha();
1767 Double_t xyz1[3], y, z;
1768 if(!track->GetProlongation(x, y, z)) return -1;
1769 xyz1[0] = x * TMath::Cos(alpha) - y * TMath::Sin(alpha);
1770 xyz1[1] = +x * TMath::Sin(alpha) + y * TMath::Cos(alpha);
1772 if(TMath::Abs(xyz0[0] - xyz1[0]) < 1e-3 && TMath::Abs(xyz0[1] - xyz1[1]) < 1e-3) continue; // check wheter we are at the same global x position
1774 if(AliTracker::MeanMaterialBudget(xyz0, xyz1, param) <=0.) break;
1775 Double_t xrho = param[0]*param[4]; // density*length
1776 Double_t xx0 = param[1]; // radiation length
1778 //Propagate the track
1779 track->PropagateTo(x, xx0, xrho);
1780 if (!AdjustSector(track)) break;
1783 Double_t cov[3]; ptrTracklet->GetCovAt(x, cov);
1784 Double_t p[2] = { ptrTracklet->GetY(), ptrTracklet->GetZ()};
1785 Double_t chi2 = ((AliExternalTrackParam*)track)->GetPredictedChi2(p, cov);
1786 if(chi2<1e+10) ((AliExternalTrackParam*)track)->Update(p, cov);
1789 //Reset material budget if 2 consecutive gold
1790 if(iplane>0 && track->GetTracklet(iplane-1) && ptrTracklet->GetN() + track->GetTracklet(iplane-1)->GetN() > 20) track->SetBudget(2, 0.);
1791 } // end planes loop
1795 if(((up?-1:1) * (points[ip].GetX() - track->GetX()) < 0) && !PropagateToX(*track, points[ip].GetX(), AliTRDReconstructor::GetMaxStep())) return -1.;
1797 Double_t xyz[3]; // should also get the covariance
1799 track->Global2LocalPosition(xyz, track->GetAlpha());
1800 points[ip].SetXYZ(xyz[0], xyz[1], xyz[2]);
1804 return track->GetChi2();
1807 //_________________________________________________________________________
1808 Float_t AliTRDtrackerV1::CalculateChi2Z(const AliTRDseedV1 *tracklets, Double_t offset, Double_t slope, Double_t xref)
1811 // Calculates the chi2-value of the track in z-Direction including tilting pad correction.
1812 // A linear dependence on the x-value serves as a model.
1813 // The parameters are related to the tilted Riemann fit.
1814 // Parameters: - Array of tracklets (AliTRDseedV1) related to the track candidate
1815 // - the offset for the reference x
1817 // - the reference x position
1818 // Output: - The Chi2 value of the track in z-Direction
1820 Float_t chi2Z = 0, nLayers = 0;
1821 for (Int_t iLayer = 0; iLayer < AliTRDgeometry::kNlayer; iLayer++) {
1822 if(!tracklets[iLayer].IsOK()) continue;
1823 Double_t z = offset + slope * (tracklets[iLayer].GetX0() - xref);
1824 chi2Z += TMath::Abs(tracklets[iLayer].GetZfit(0) - z);
1827 chi2Z /= TMath::Max((nLayers - 3.0),1.0);
1831 //_____________________________________________________________________________
1832 Int_t AliTRDtrackerV1::PropagateToX(AliTRDtrackV1 &t, Double_t xToGo, Double_t maxStep)
1835 // Starting from current X-position of track <t> this function
1836 // extrapolates the track up to radial position <xToGo>.
1837 // Returns 1 if track reaches the plane, and 0 otherwise
1840 // Current track X-position
1841 Double_t xpos = t.GetX()/*,
1842 mass = t.GetMass()*/;
1844 // Direction: inward or outward
1845 Double_t dir = (xpos < xToGo) ? 1.0 : -1.0;
1847 while (((xToGo - xpos) * dir) > AliTRDReconstructor::GetEpsilon()) {
1848 // printf("to go %f\n", (xToGo - xpos) * dir);
1856 // The next step size
1857 Double_t step = dir * TMath::Min(TMath::Abs(xToGo-xpos),maxStep);
1859 // Get the global position of the starting point
1862 // X-position after next step
1865 // Get local Y and Z at the X-position of the next step
1866 if(t.GetProlongation(x,y,z)<0) return 0; // No prolongation possible
1868 // The global position of the end point of this prolongation step
1869 xyz1[0] = x * TMath::Cos(t.GetAlpha()) - y * TMath::Sin(t.GetAlpha());
1870 xyz1[1] = +x * TMath::Sin(t.GetAlpha()) + y * TMath::Cos(t.GetAlpha());
1873 // Calculate the mean material budget between start and
1874 // end point of this prolongation step
1875 if(AliTracker::MeanMaterialBudget(xyz0, xyz1, param)<=0.) return 0;
1877 // Propagate the track to the X-position after the next step
1878 if (!t.PropagateTo(x, param[1], param[0]*param[4])) return 0;
1880 /* // Correct for mean material budget
1882 bg(TMath::Abs(t.GetP()/mass));
1883 if(AliLog::GetDebugLevel("TRD", "AliTRDtrackerV1")>=3){
1884 const char *pn[] = {"rho", "x/X0", "<A>", "<Z>", "L", "<Z/A>", "Nb"};
1885 printf("D-AliTRDtrackerV1::PropagateTo(): x[%6.2f] bg[%6.2f]\n", xpos, bg);
1886 printf(" param :: %s[%e] %s[%e] %s[%e] %s[%e] %s[%e] %s[%e] %s[%e]\n"
1897 dEdx = AliExternalTrackParam::BetheBlochSolid(bg);
1900 dEdx = AliExternalTrackParam::BetheBlochGas(bg);
1903 { // mean exitation energy (GeV)
1904 Double_t mee = ((param[3] < 13.) ? (12. * param[3] + 7.) : (9.76 * param[3] + 58.8 * TMath::Power(param[3],-0.19))) * 1.e-9;
1905 Double_t mZA = param[5]>1.e-5?param[5]:(param[3]/param[2]);
1906 if(AliLog::GetDebugLevel("TRD", "AliTRDtrackerV1")>=3) printf("D-AliTRDtrackerV1::PropagateTo(): Mee[%e] <Z/A>[%e]\n", mee, mZA);
1907 // protect against failed calculation of rho in MeanMaterialBudget()
1908 dEdx = AliExternalTrackParam::BetheBlochGeant(bg, param[0]>1.e-6?param[0]:2.33, 0.2, 3., mee, mZA);
1912 if(AliLog::GetDebugLevel("TRD", "AliTRDtrackerV1")>=2) printf("D-AliTRDtrackerV1::PropagateTo(): dEdx(bg=%e, m=%e)= %e[GeV/cm]\n", bg, mass, dEdx);
1913 if (!t.CorrectForMeanMaterialdEdx(param[1], dir*param[0]*param[4], mass, dEdx)) return 0;
1915 // Rotate the track if necessary
1916 if(!AdjustSector(&t)) return 0;
1918 // New track X-position
1927 //_____________________________________________________________________________
1928 Bool_t AliTRDtrackerV1::ReadClusters(TTree *clusterTree)
1931 // Reads AliTRDclusters from the file.
1932 // The names of the cluster tree and branches
1933 // should match the ones used in AliTRDclusterizer::WriteClusters()
1936 Int_t nsize = Int_t(clusterTree->GetTotBytes() / (sizeof(AliTRDcluster)));
1937 TObjArray *clusterArray = new TObjArray(nsize+1000);
1939 TBranch *branch = clusterTree->GetBranch("TRDcluster");
1941 AliError("Can't get the branch !");
1944 branch->SetAddress(&clusterArray);
1947 Float_t nclusters = fkRecoParam->GetNClusters();
1948 if(fkReconstructor->IsHLT()) nclusters /= AliTRDgeometry::kNsector;
1949 fClusters = new TClonesArray("AliTRDcluster", Int_t(nclusters));
1950 fClusters->SetOwner(kTRUE);
1952 AliInfo(Form("Tracker owning clusters @ %p", (void*)fClusters));
1955 // Loop through all entries in the tree
1956 Int_t nEntries = (Int_t) clusterTree->GetEntries();
1959 AliTRDcluster *c = NULL;
1960 for (Int_t iEntry = 0; iEntry < nEntries; iEntry++) {
1962 nbytes += clusterTree->GetEvent(iEntry);
1964 // Get the number of points in the detector
1965 Int_t nCluster = clusterArray->GetEntriesFast();
1966 for (Int_t iCluster = 0; iCluster < nCluster; iCluster++) {
1967 if(!(c = (AliTRDcluster *) clusterArray->UncheckedAt(iCluster))) continue;
1968 new((*fClusters)[ncl++]) AliTRDcluster(*c);
1969 delete (clusterArray->RemoveAt(iCluster));
1972 delete clusterArray;
1977 //_____________________________________________________________________________
1978 Int_t AliTRDtrackerV1::LoadClusters(TTree *cTree)
1981 // Fills clusters into TRD tracking sectors
1984 fkRecoParam = fkReconstructor->GetRecoParam(); // load reco param for this event
1986 // if(!fkReconstructor->IsWritingClusters()) AliInfo(Form("IsWritingClusters[%c]", fkReconstructor->IsWritingClusters()?'y':'n'));
1987 if(!(fClusters = AliTRDReconstructor::GetClusters())){
1988 AliWarning("Clusters unavailable from TRD reconstructor. Trying reading from tree ...");
1990 if(!ReadClusters(cTree)) {
1991 AliError("Reading clusters from tree failed.");
1996 if(!fClusters || !fClusters->GetEntriesFast()){
1997 AliInfo("No TRD clusters");
1999 } else AliInfo(Form("Using :: clusters[%d] onl.tracklets[%d] onl.tracks[%d]",
2000 fClusters?fClusters->GetEntriesFast():0,
2001 AliTRDReconstructor::GetTracklets()?AliTRDReconstructor::GetTracklets()->GetEntriesFast():0,
2002 AliTRDReconstructor::GetTracks()?AliTRDReconstructor::GetTracks()->GetEntriesFast():0));
2004 BuildTrackingContainers();
2009 //_____________________________________________________________________________
2010 Int_t AliTRDtrackerV1::LoadClusters(TClonesArray * const clusters)
2013 // Fills clusters into TRD tracking sectors
2014 // Function for use in the HLT
2016 if(!clusters || !clusters->GetEntriesFast()){
2017 AliInfo("No TRD clusters");
2019 } else AliInfo(Form("Using :: external.clusters[%d]", clusters->GetEntriesFast()));
2022 fClusters = clusters;
2024 fkRecoParam = fkReconstructor->GetRecoParam(); // load reco param for this event
2025 BuildTrackingContainers();
2031 //____________________________________________________________________
2032 Int_t AliTRDtrackerV1::BuildTrackingContainers()
2034 // Building tracking containers for clusters
2036 Int_t nin(0), ncl(fClusters->GetEntriesFast());
2038 AliTRDcluster *c = (AliTRDcluster *) fClusters->UncheckedAt(ncl);
2039 if(c->IsInChamber()) nin++;
2040 if(fkReconstructor->IsHLT()) c->SetRPhiMethod(AliTRDcluster::kCOG);
2041 Int_t detector = c->GetDetector();
2042 Int_t sector = fGeom->GetSector(detector);
2043 Int_t stack = fGeom->GetStack(detector);
2044 Int_t layer = fGeom->GetLayer(detector);
2046 fTrSec[sector].GetChamber(stack, layer, kTRUE)->InsertCluster(c, ncl);
2049 for(int isector =0; isector<AliTRDgeometry::kNsector; isector++){
2050 if(!fTrSec[isector].GetNChambers()) continue;
2051 fTrSec[isector].Init(fkReconstructor);
2059 //____________________________________________________________________
2060 void AliTRDtrackerV1::UnloadClusters()
2063 // Clears the arrays of clusters and tracks. Resets sectors and timebins
2064 // If option "force" is also set the containers are also deleted. This is useful
2069 if(HasRemoveContainers()){delete fTracks; fTracks = NULL;}
2072 fTracklets->Delete();
2073 if(HasRemoveContainers()){delete fTracklets; fTracklets = NULL;}
2075 if(fClusters && IsClustersOwner()){
2076 AliInfo(Form("tracker[%p] clearing %d own clusters @ %p", (void*)this, fClusters->GetEntries(), (void*)fClusters));
2077 fClusters->Delete();
2079 // // save clusters array in the reconstructor for further use.
2080 // if(!fkReconstructor->IsWritingClusters()){
2081 // AliTRDReconstructor::SetClusters(fClusters);
2082 // SetClustersOwner(kFALSE);
2083 // } else AliTRDReconstructor::SetClusters(NULL);
2086 for (int i = 0; i < AliTRDgeometry::kNsector; i++) fTrSec[i].Clear();
2088 // Increment the Event Number
2089 AliTRDtrackerDebug::SetEventNumber(AliTRDtrackerDebug::GetEventNumber() + 1);
2092 // //____________________________________________________________________
2093 // void AliTRDtrackerV1::UseClusters(const AliKalmanTrack *t, Int_t) const
2095 // const AliTRDtrackV1 *track = dynamic_cast<const AliTRDtrackV1*>(t);
2096 // if(!track) return;
2098 // AliTRDseedV1 *tracklet = NULL;
2099 // for(Int_t ily=AliTRDgeometry::kNlayer; ily--;){
2100 // if(!(tracklet = track->GetTracklet(ily))) continue;
2101 // AliTRDcluster *c = NULL;
2102 // for(Int_t ic=AliTRDseed::kNclusters; ic--;){
2103 // if(!(c=tracklet->GetClusters(ic))) continue;
2110 //_____________________________________________________________________________
2111 Bool_t AliTRDtrackerV1::AdjustSector(AliTRDtrackV1 *const track)
2114 // Rotates the track when necessary
2117 Double_t alpha = AliTRDgeometry::GetAlpha();
2118 Double_t y = track->GetY();
2119 Double_t ymax = track->GetX()*TMath::Tan(0.5*alpha);
2122 if (!track->Rotate( alpha)) {
2126 else if (y < -ymax) {
2127 if (!track->Rotate(-alpha)) {
2137 //____________________________________________________________________
2138 AliTRDseedV1* AliTRDtrackerV1::GetTracklet(const AliTRDtrackV1 *const track, Int_t p, Int_t &idx)
2140 // Find tracklet for TRD track <track>
2149 // Detailed description
2151 idx = track->GetTrackletIndex(p);
2152 AliTRDseedV1 *tracklet = (idx<0) ? NULL : (AliTRDseedV1*)fTracklets->UncheckedAt(idx);
2157 //____________________________________________________________________
2158 AliTRDseedV1* AliTRDtrackerV1::SetTracklet(const AliTRDseedV1 * const tracklet)
2160 // Add this tracklet to the list of tracklets stored in the tracker
2163 // - tracklet : pointer to the tracklet to be added to the list
2166 // - the index of the new tracklet in the tracker tracklets list
2168 // Detailed description
2169 // Build the tracklets list if it is not yet created (late initialization)
2170 // and adds the new tracklet to the list.
2173 fTracklets = new TClonesArray("AliTRDseedV1", AliTRDgeometry::Nsector()*kMaxTracksStack);
2174 fTracklets->SetOwner(kTRUE);
2176 Int_t nentries = fTracklets->GetEntriesFast();
2177 return new ((*fTracklets)[nentries]) AliTRDseedV1(*tracklet);
2180 //____________________________________________________________________
2181 AliTRDtrackV1* AliTRDtrackerV1::SetTrack(const AliTRDtrackV1 * const track)
2183 // Add this track to the list of tracks stored in the tracker
2186 // - track : pointer to the track to be added to the list
2189 // - the pointer added
2191 // Detailed description
2192 // Build the tracks list if it is not yet created (late initialization)
2193 // and adds the new track to the list.
2196 fTracks = new TClonesArray("AliTRDtrackV1", AliTRDgeometry::Nsector()*kMaxTracksStack);
2197 fTracks->SetOwner(kTRUE);
2199 Int_t nentries = fTracks->GetEntriesFast();
2200 return new ((*fTracks)[nentries]) AliTRDtrackV1(*track);
2205 //____________________________________________________________________
2206 Int_t AliTRDtrackerV1::Clusters2TracksSM(Int_t sector, AliESDEvent *esd)
2209 // Steer tracking for one SM.
2212 // sector : Array of (SM) propagation layers containing clusters
2213 // esd : The current ESD event. On output it contains the also
2214 // the ESD (TRD) tracks found in this SM.
2217 // Number of tracks found in this TRD supermodule.
2219 // Detailed description
2221 // 1. Unpack AliTRDpropagationLayers objects for each stack.
2222 // 2. Launch stack tracking.
2223 // See AliTRDtrackerV1::Clusters2TracksStack() for details.
2224 // 3. Pack results in the ESD event.
2228 Int_t nChambers = 0;
2229 AliTRDtrackingChamber **stack = NULL, *chamber = NULL;
2230 for(int istack = 0; istack<AliTRDgeometry::kNstack; istack++){
2231 if(!(stack = fTrSec[sector].GetStack(istack))) continue;
2233 for(int ilayer=0; ilayer<AliTRDgeometry::kNlayer; ilayer++){
2234 if(!(chamber = stack[ilayer])) continue;
2235 if(chamber->GetNClusters() < fgNTimeBins * fkRecoParam->GetFindableClusters()) continue;
2237 //AliInfo(Form("sector %d stack %d layer %d clusters %d", sector, istack, ilayer, chamber->GetNClusters()));
2239 if(nChambers < 4) continue;
2240 //AliInfo(Form("Doing stack %d", istack));
2241 nTracks += Clusters2TracksStack(stack, fTracksESD);
2243 if(nTracks) AliDebug(2, Form("Number of tracks: SM_%02d[%d]", sector, nTracks));
2245 for(int itrack=0; itrack<nTracks; itrack++){
2246 AliESDtrack *esdTrack((AliESDtrack*)(fTracksESD->operator[](itrack)));
2247 Int_t id = esd->AddTrack(esdTrack);
2249 // set ESD id to stand alone TRD tracks
2250 if (fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 0){
2251 esdTrack=esd->GetTrack(id);
2252 TObject *o(NULL); Int_t ic(0);
2253 AliTRDtrackV1 *calibTrack(NULL);
2254 while((o = esdTrack->GetCalibObject(ic++))){
2255 if(!(calibTrack = dynamic_cast<AliTRDtrackV1*>(o))) continue;
2256 calibTrack->SetESDid(esdTrack->GetID());
2262 // Reset Track and Candidate Number
2263 AliTRDtrackerDebug::SetCandidateNumber(0);
2264 AliTRDtrackerDebug::SetTrackNumber(0);
2266 // delete ESD tracks in the array
2267 fTracksESD->Delete();
2271 //____________________________________________________________________
2272 Int_t AliTRDtrackerV1::Clusters2TracksStack(AliTRDtrackingChamber **stack, TClonesArray * const esdTrackList)
2275 // Make tracks in one TRD stack.
2278 // layer : Array of stack propagation layers containing clusters
2279 // esdTrackList : Array of ESD tracks found by the stand alone tracker.
2280 // On exit the tracks found in this stack are appended.
2283 // Number of tracks found in this stack.
2285 // Detailed description
2287 // 1. Find the 3 most useful seeding chambers. See BuildSeedingConfigs() for details.
2288 // 2. Steer AliTRDtrackerV1::MakeSeeds() for 3 seeding layer configurations.
2289 // See AliTRDtrackerV1::MakeSeeds() for more details.
2290 // 3. Arrange track candidates in decreasing order of their quality
2291 // 4. Classify tracks in 5 categories according to:
2292 // a) number of layers crossed
2294 // 5. Sign clusters by tracks in decreasing order of track quality
2295 // 6. Build AliTRDtrack out of seeding tracklets
2297 // 8. Build ESD track and register it to the output list
2300 AliTRDtrackingChamber *chamber = NULL;
2301 AliTRDtrackingChamber **ci = NULL;
2302 AliTRDseedV1 sseed[kMaxTracksStack*6]; // to be initialized
2303 Int_t pars[4]; // MakeSeeds parameters
2305 //Double_t alpha = AliTRDgeometry::GetAlpha();
2306 //Double_t shift = .5 * alpha;
2307 Int_t configs[kNConfigs];
2309 // Purge used clusters from the containers
2311 for(Int_t ic = kNPlanes; ic--; ci++){
2312 if(!(*ci)) continue;
2316 // Build initial seeding configurations
2317 Double_t quality = BuildSeedingConfigs(stack, configs);
2318 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 10){
2319 AliInfo(Form("Plane config %d %d %d Quality %f"
2320 , configs[0], configs[1], configs[2], quality));
2324 // Initialize contors
2325 Int_t ntracks, // number of TRD track candidates
2326 ntracks1, // number of registered TRD tracks/iter
2327 ntracks2 = 0; // number of all registered TRD tracks in stack
2331 Int_t ic = 0; ci = &stack[0];
2332 while(ic<kNPlanes && !(*ci)){ic++; ci++;}
2333 if(!(*ci)) return ntracks2;
2334 Int_t istack = fGeom->GetStack((*ci)->GetDetector());
2337 // Loop over seeding configurations
2338 ntracks = 0; ntracks1 = 0;
2339 for (Int_t iconf = 0; iconf<fkRecoParam->GetNumberOfSeedConfigs(); iconf++) {
2340 pars[0] = configs[iconf];
2343 ntracks = MakeSeeds(stack, &sseed[6*ntracks], pars);
2344 //AliInfo(Form("Number of Tracks after iteration step %d: %d\n", iconf, ntracks));
2345 if(ntracks == kMaxTracksStack) break;
2347 AliDebug(2, Form("Candidate TRD tracks %d in iteration %d.", ntracks, fSieveSeeding));
2350 // Sort the seeds according to their quality
2351 Int_t sort[kMaxTracksStack+1];
2352 TMath::Sort(ntracks, fTrackQuality, sort, kTRUE);
2353 if(AliLog::GetDebugLevel("TRD", "AliTRDtrackerV1") > 2){
2354 AliDebug(3, "Track candidates classification:");
2355 for (Int_t it(0); it < ntracks; it++) {
2357 printf(" %2d idx[%d] Quality[%e]\n", it, jt, fTrackQuality[jt]);
2361 // Initialize number of tracks so far and logic switches
2362 Int_t ntracks0 = esdTrackList->GetEntriesFast();
2363 Bool_t signedTrack[kMaxTracksStack];
2364 Bool_t fakeTrack[kMaxTracksStack];
2365 for (Int_t i=0; i<ntracks; i++){
2366 signedTrack[i] = kFALSE;
2367 fakeTrack[i] = kFALSE;
2369 //AliInfo("Selecting track candidates ...");
2371 // Sieve clusters in decreasing order of track quality
2372 Int_t jSieve(0), rejectedCandidates(0);
2374 // Check track candidates
2375 rejectedCandidates=0;
2376 for (Int_t itrack = 0; itrack < ntracks; itrack++) {
2377 Int_t trackIndex = sort[itrack];
2378 if (signedTrack[trackIndex] || fakeTrack[trackIndex]) continue;
2380 // Calculate track parameters from tracklets seeds
2385 for (Int_t jLayer = 0; jLayer < kNPlanes; jLayer++) {
2386 Int_t jseed = kNPlanes*trackIndex+jLayer;
2387 sseed[jseed].UpdateUsed();
2388 if(!sseed[jseed].IsOK()) continue;
2389 // check if primary candidate
2390 if (TMath::Abs(sseed[jseed].GetYref(0) / sseed[jseed].GetX0()) < 0.158) findable++;
2391 ncl += sseed[jseed].GetN();
2392 nused += sseed[jseed].GetNUsed();
2396 // Filter duplicated tracks
2398 AliDebug(4, Form("REJECTED : %d idx[%d] quality[%e] tracklets[%d] usedClusters[%d]", itrack, trackIndex, fTrackQuality[trackIndex], nlayers, nused));
2399 fakeTrack[trackIndex] = kTRUE;
2402 if (ncl>0 && Float_t(nused)/ncl >= .25){
2403 AliDebug(4, Form("REJECTED : %d idx[%d] quality[%e] tracklets[%d] usedClusters[%d] used/ncl[%f]", itrack, trackIndex, fTrackQuality[trackIndex], nlayers, nused, Float_t(nused)/ncl));
2404 fakeTrack[trackIndex] = kTRUE;
2408 AliDebug(4, Form("Candidate[%d] Quality[%e] Tracklets[%d] Findable[%d] Ncl[%d] Nused[%d]", trackIndex, fTrackQuality[trackIndex], nlayers, findable, ncl, nused));
2411 Bool_t skip = kFALSE;
2413 case 0: // select 6 tracklets primary tracks, good quality
2414 if(nlayers > findable || nlayers < kNPlanes) {skip = kTRUE; break;}
2415 if(TMath::Log(1.E-9+fTrackQuality[trackIndex]) < -5.){skip = kTRUE; break;}
2418 case 1: // select shorter primary tracks, good quality
2419 //if(findable<4){skip = kTRUE; break;}
2420 if(nlayers < findable){skip = kTRUE; break;}
2421 if(TMath::Log(1.E-9+fTrackQuality[trackIndex]) < -4.){skip = kTRUE; break;}
2424 case 2: // select 6 tracklets secondary tracks
2425 if(nlayers < kNPlanes) { skip = kTRUE; break;}
2426 if (TMath::Log(1.E-9+fTrackQuality[trackIndex]) < -6.0){skip = kTRUE; break;}
2429 case 3: // select shorter tracks, good quality
2430 if (nlayers<4){skip = kTRUE; break;}
2431 if (TMath::Log(1.E-9+fTrackQuality[trackIndex]) < -5.){skip = kTRUE; break;}
2434 case 4: // select anything with at least 4 tracklets
2435 if (nlayers<4){skip = kTRUE; break;}
2436 //if (TMath::Log(1.E-9+fTrackQuality[trackIndex]) - nused/(nlayers-3.0) < -15.0){skip = kTRUE; break;}
2440 rejectedCandidates++;
2441 AliDebug(4, Form("REJECTED : %d idx[%d] quality[%e] tracklets[%d] usedClusters[%d]", itrack, trackIndex, fTrackQuality[trackIndex], nlayers, nused));
2443 } else AliDebug(4, Form("ACCEPTED : %d idx[%d] quality[%e] tracklets[%d] usedClusters[%d]", itrack, trackIndex, fTrackQuality[trackIndex], nlayers, nused));
2445 signedTrack[trackIndex] = kTRUE;
2447 AliTRDseedV1 *lseed =&sseed[trackIndex*kNPlanes];
2448 AliTRDtrackV1 *track = MakeTrack(lseed);
2450 AliDebug(1, "Track building failed.");
2453 if(AliLog::GetDebugLevel("TRD", "AliTRDtrackerV1") > 1){
2454 Int_t ich = 0; while(!(chamber = stack[ich])) ich++;
2455 AliDebug(2, Form("Track pt=%7.2fGeV/c SM[%2d] Done.", track->Pt(), fGeom->GetSector(chamber->GetDetector())));
2459 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 1 && fkReconstructor->IsDebugStreaming()){
2460 //AliInfo(Form("Track %d [%d] nlayers %d trackQuality = %e nused %d, yref = %3.3f", itrack, trackIndex, nlayers, fTrackQuality[trackIndex], nused, trackParams[1]));
2462 AliTRDseedV1 *dseed[6];
2463 for(Int_t iseed = AliTRDgeometry::kNlayer; iseed--;) dseed[iseed] = new AliTRDseedV1(lseed[iseed]);
2465 //Int_t eventNrInFile = esd->GetEventNumberInFile();
2466 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
2467 Int_t trackNumber = AliTRDtrackerDebug::GetTrackNumber();
2468 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
2469 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
2470 cstreamer << "Clusters2TracksStack"
2471 << "EventNumber=" << eventNumber
2472 << "TrackNumber=" << trackNumber
2473 << "CandidateNumber=" << candidateNumber
2474 << "Iter=" << fSieveSeeding
2475 << "Like=" << fTrackQuality[trackIndex]
2476 << "S0.=" << dseed[0]
2477 << "S1.=" << dseed[1]
2478 << "S2.=" << dseed[2]
2479 << "S3.=" << dseed[3]
2480 << "S4.=" << dseed[4]
2481 << "S5.=" << dseed[5]
2483 << "NLayers=" << nlayers
2484 << "Findable=" << findable
2485 << "NUsed=" << nused
2490 AliESDtrack *esdTrack = new ((*esdTrackList)[ntracks0++]) AliESDtrack();
2491 esdTrack->UpdateTrackParams(track, AliESDtrack::kTRDout);
2492 esdTrack->SetLabel(track->GetLabel());
2493 track->UpdateESDtrack(esdTrack);
2494 // write ESD-friends if neccessary
2495 if (fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 0){
2496 AliTRDtrackV1 *calibTrack = new AliTRDtrackV1(*track);
2497 calibTrack->SetOwner();
2498 esdTrack->AddCalibObject(calibTrack);
2501 AliTRDtrackerDebug::SetTrackNumber(AliTRDtrackerDebug::GetTrackNumber() + 1);
2505 } while(jSieve<5 && rejectedCandidates); // end track candidates sieve
2506 if(!ntracks1) break;
2508 // increment counters
2509 ntracks2 += ntracks1;
2511 if(fkReconstructor->IsHLT()) break;
2514 // Rebuild plane configurations and indices taking only unused clusters into account
2515 quality = BuildSeedingConfigs(stack, configs);
2516 if(quality < 1.E-7) break; //fkReconstructor->GetRecoParam() ->GetPlaneQualityThreshold()) break;
2518 for(Int_t ip = 0; ip < kNPlanes; ip++){
2519 if(!(chamber = stack[ip])) continue;
2520 chamber->Build(fGeom);//Indices(fSieveSeeding);
2523 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 10){
2524 AliInfo(Form("Sieve level %d Plane config %d %d %d Quality %f", fSieveSeeding, configs[0], configs[1], configs[2], quality));
2526 } while(fSieveSeeding<10); // end stack clusters sieve
2530 //AliInfo(Form("Registered TRD tracks %d in stack %d.", ntracks2, pars[1]));
2535 //___________________________________________________________________
2536 Double_t AliTRDtrackerV1::BuildSeedingConfigs(AliTRDtrackingChamber **stack, Int_t *configs)
2539 // Assign probabilities to chambers according to their
2540 // capability of producing seeds.
2544 // layers : Array of stack propagation layers for all 6 chambers in one stack
2545 // configs : On exit array of configuration indexes (see GetSeedingConfig()
2546 // for details) in the decreasing order of their seeding probabilities.
2550 // Return top configuration quality
2552 // Detailed description:
2554 // To each chamber seeding configuration (see GetSeedingConfig() for
2555 // the list of all configurations) one defines 2 quality factors:
2556 // - an apriori topological quality (see GetSeedingConfig() for details) and
2557 // - a data quality based on the uniformity of the distribution of
2558 // clusters over the x range (time bins population). See CookChamberQA() for details.
2559 // The overall chamber quality is given by the product of this 2 contributions.
2562 Double_t chamberQ[kNPlanes];memset(chamberQ, 0, kNPlanes*sizeof(Double_t));
2563 AliTRDtrackingChamber *chamber = NULL;
2564 for(int iplane=0; iplane<kNPlanes; iplane++){
2565 if(!(chamber = stack[iplane])) continue;
2566 chamberQ[iplane] = (chamber = stack[iplane]) ? chamber->GetQuality() : 0.;
2569 Double_t tconfig[kNConfigs];memset(tconfig, 0, kNConfigs*sizeof(Double_t));
2570 Int_t planes[] = {0, 0, 0, 0};
2571 for(int iconf=0; iconf<kNConfigs; iconf++){
2572 GetSeedingConfig(iconf, planes);
2573 tconfig[iconf] = fgTopologicQA[iconf];
2574 for(int iplane=0; iplane<4; iplane++) tconfig[iconf] *= chamberQ[planes[iplane]];
2577 TMath::Sort((Int_t)kNConfigs, tconfig, configs, kTRUE);
2578 // AliInfo(Form("q[%d] = %f", configs[0], tconfig[configs[0]]));
2579 // AliInfo(Form("q[%d] = %f", configs[1], tconfig[configs[1]]));
2580 // AliInfo(Form("q[%d] = %f", configs[2], tconfig[configs[2]]));
2582 return tconfig[configs[0]];
2585 //____________________________________________________________________
2586 Int_t AliTRDtrackerV1::MakeSeeds(AliTRDtrackingChamber **stack, AliTRDseedV1 * const sseed, const Int_t * const ipar)
2589 // Seed tracklets and build candidate TRD tracks. The procedure is used during barrel tracking to account for tracks which are
2590 // either missed by TPC prolongation or conversions inside the TRD volume.
2591 // For stand alone tracking the procedure is used to estimate all tracks measured by TRD.
2594 // layers : Array of stack propagation layers containing clusters
2595 // sseed : Array of empty tracklet seeds. On exit they are filled.
2596 // ipar : Control parameters:
2597 // ipar[0] -> seeding chambers configuration
2598 // ipar[1] -> stack index
2599 // ipar[2] -> number of track candidates found so far
2602 // Number of tracks candidates found.
2604 // The following steps are performed:
2605 // 1. Build seeding layers by collapsing all time bins from each of the four seeding chambers along the
2606 // radial coordinate. See AliTRDtrackingChamber::GetSeedingLayer() for details. The chambers selection for seeding
2607 // is described in AliTRDtrackerV1::Clusters2TracksStack().
2608 // 2. Using the seeding clusters from the seeding layer (step 1) build combinatorics using the following algorithm:
2609 // - for each seeding cluster in the lower seeding layer find
2610 // - all seeding clusters in the upper seeding layer inside a road defined by a given phi angle. The angle
2611 // is calculated on the minimum pt of tracks from vertex accesible to the stand alone tracker.
2612 // - for each pair of two extreme seeding clusters select middle upper cluster using roads defined externally by the
2614 // - select last seeding cluster as the nearest to the linear approximation of the track described by the first three
2615 // seeding clusters.
2616 // The implementation of road calculation and cluster selection can be found in the functions AliTRDchamberTimeBin::BuildCond()
2617 // and AliTRDchamberTimeBin::GetClusters().
2618 // 3. Helix fit of the seeding clusters set. (see AliTRDtrackerFitter::FitRieman(AliTRDcluster**)). No tilt correction is
2619 // performed at this level
2620 // 4. Initialize seeding tracklets in the seeding chambers.
2621 // 5. *Filter 0* Chi2 cut on the Y and Z directions. The threshold is set externally by the reco params.
2622 // 6. Attach (true) clusters to seeding tracklets (see AliTRDseedV1::AttachClusters()) and fit tracklet (see
2623 // AliTRDseedV1::Fit()). The number of used clusters used by current seeds should not exceed ... (25).
2624 // 7. *Filter 1* Check if all 4 seeding tracklets are correctly constructed.
2625 // 8. Helix fit of the clusters from the seeding tracklets with tilt correction. Refit tracklets using the new
2626 // approximation of the track.
2627 // 9. *Filter 2* Calculate likelihood of the track. (See AliTRDtrackerV1::CookLikelihood()). The following quantities are
2628 // checked against the Riemann fit:
2629 // - position resolution in y
2630 // - angular resolution in the bending plane
2631 // - likelihood of the number of clusters attached to the tracklet
2632 // 10. Extrapolation of the helix fit to the other 2 chambers *non seeding* chambers:
2633 // - Initialization of extrapolation tracklets with the fit parameters
2634 // - Attach clusters to extrapolated tracklets
2635 // - Helix fit of tracklets
2636 // 11. Improve seeding tracklets quality by reassigning clusters based on the last parameters of the track
2637 // See AliTRDtrackerV1::ImproveSeedQuality() for details.
2638 // 12. Helix fit of all 6 seeding tracklets and chi2 calculation
2639 // 13. Hyperplane fit and track quality calculation. See AliTRDtrackerFitter::FitHyperplane() for details.
2640 // 14. Cooking labels for tracklets. Should be done only for MC
2641 // 15. Register seeds.
2644 // Marian Ivanov <M.Ivanov@gsi.de>
2645 // Alexandru Bercuci <A.Bercuci@gsi.de>
2646 // Markus Fasel <M.Fasel@gsi.de>
2648 AliTRDtrackingChamber *chamber = NULL;
2649 AliTRDcluster *c[kNSeedPlanes] = {NULL, NULL, NULL, NULL}; // initilize seeding clusters
2650 AliTRDseedV1 *cseed = &sseed[0]; // initialize tracklets for first track
2651 Int_t ncl, mcl; // working variable for looping over clusters
2652 Int_t index[AliTRDchamberTimeBin::kMaxClustersLayer], jndex[AliTRDchamberTimeBin::kMaxClustersLayer];
2654 // chi2[0] = tracklet chi2 on the Z direction
2655 // chi2[1] = tracklet chi2 on the R direction
2658 // this should be data member of AliTRDtrack TODO
2659 // Double_t seedQuality[kMaxTracksStack];
2661 // unpack control parameters
2662 Int_t config = ipar[0];
2663 Int_t ntracks = ipar[1];
2664 Int_t istack = ipar[2];
2665 Int_t planes[kNSeedPlanes]; GetSeedingConfig(config, planes);
2666 Int_t planesExt[kNPlanes-kNSeedPlanes]; GetExtrapolationConfig(config, planesExt);
2669 // Init chambers geometry
2670 Double_t hL[kNPlanes]; // Tilting angle
2671 Float_t padlength[kNPlanes]; // pad lenghts
2672 Float_t padwidth[kNPlanes]; // pad widths
2673 AliTRDpadPlane *pp = NULL;
2674 for(int iplane=0; iplane<kNPlanes; iplane++){
2675 pp = fGeom->GetPadPlane(iplane, istack);
2676 hL[iplane] = TMath::Tan(TMath::DegToRad()*pp->GetTiltingAngle());
2677 padlength[iplane] = pp->GetLengthIPad();
2678 padwidth[iplane] = pp->GetWidthIPad();
2681 // Init anode wire position for chambers
2682 Double_t x0[kNPlanes], // anode wire position
2683 driftLength = .5*AliTRDgeometry::AmThick() - AliTRDgeometry::DrThick(); // drift length
2684 TGeoHMatrix *matrix = NULL;
2685 Double_t loc[] = {AliTRDgeometry::AnodePos(), 0., 0.};
2686 Double_t glb[] = {0., 0., 0.};
2687 AliTRDtrackingChamber **cIter = &stack[0];
2688 for(int iLayer=0; iLayer<kNPlanes; iLayer++,cIter++){
2689 if(!(*cIter)) continue;
2690 if(!(matrix = fGeom->GetClusterMatrix((*cIter)->GetDetector()))){
2691 x0[iLayer] = fgkX0[iLayer];
2694 matrix->LocalToMaster(loc, glb);
2695 x0[iLayer] = glb[0];
2698 AliDebug(2, Form("Making seeds Stack[%d] Config[%d] Tracks[%d]...", istack, config, ntracks));
2700 // Build seeding layers
2703 for(int isl=0; isl<kNSeedPlanes; isl++){
2704 if(!(chamber = stack[planes[isl]])) continue;
2705 if(!chamber->GetSeedingLayer(fSeedTB[isl], fGeom, fkReconstructor)) continue;
2708 if(nlayers < kNSeedPlanes) return ntracks;
2711 // Start finding seeds
2712 Double_t cond0[4], cond1[4], cond2[4];
2714 while((c[3] = (*fSeedTB[3])[icl++])){
2716 fSeedTB[0]->BuildCond(c[3], cond0, 0);
2717 fSeedTB[0]->GetClusters(cond0, index, ncl);
2718 //printf("Found c[3] candidates 0 %d\n", ncl);
2721 c[0] = (*fSeedTB[0])[index[jcl++]];
2723 Double_t dx = c[3]->GetX() - c[0]->GetX();
2724 Double_t dzdx = (c[3]->GetZ() - c[0]->GetZ())/dx;
2725 Double_t dydx = (c[3]->GetY() - c[0]->GetY())/dx;
2726 fSeedTB[1]->BuildCond(c[0], cond1, 1, dzdx, dydx);
2727 fSeedTB[1]->GetClusters(cond1, jndex, mcl);
2728 //printf("Found c[0] candidates 1 %d\n", mcl);
2732 c[1] = (*fSeedTB[1])[jndex[kcl++]];
2734 fSeedTB[2]->BuildCond(c[1], cond2, 2, dzdx, dydx);
2735 c[2] = fSeedTB[2]->GetNearestCluster(cond2);
2736 //printf("Found c[1] candidate 2 %p\n", c[2]);
2739 AliDebug(3, Form("Seeding clusters\n 0[%6.3f %6.3f %6.3f]\n 1[%6.3f %6.3f %6.3f]\n 2[%6.3f %6.3f %6.3f]\n 3[%6.3f %6.3f %6.3f].",
2740 c[0]->GetX(), c[0]->GetY(), c[0]->GetZ(),
2741 c[1]->GetX(), c[1]->GetY(), c[1]->GetZ(),
2742 c[2]->GetX(), c[2]->GetY(), c[2]->GetZ(),
2743 c[3]->GetX(), c[3]->GetY(), c[3]->GetZ()));
2745 for (Int_t il = 0; il < kNPlanes; il++) cseed[il].Reset();
2749 AliTRDseedV1 *tseed = &cseed[0];
2751 for(int iLayer=0; iLayer<kNPlanes; iLayer++, tseed++, cIter++){
2752 Int_t det = (*cIter) ? (*cIter)->GetDetector() : -1;
2753 tseed->SetDetector(det);
2754 tseed->SetTilt(hL[iLayer]);
2755 tseed->SetPadLength(padlength[iLayer]);
2756 tseed->SetPadWidth(padwidth[iLayer]);
2757 tseed->SetReconstructor(fkReconstructor);
2758 tseed->SetX0(det<0 ? fR[iLayer]+driftLength : x0[iLayer]);
2759 tseed->Init(GetRiemanFitter());
2760 tseed->SetStandAlone(kTRUE);
2763 Bool_t isFake = kFALSE;
2764 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) >= 2 && fkReconstructor->IsDebugStreaming()){
2765 if (c[0]->GetLabel(0) != c[3]->GetLabel(0)) isFake = kTRUE;
2766 if (c[1]->GetLabel(0) != c[3]->GetLabel(0)) isFake = kTRUE;
2767 if (c[2]->GetLabel(0) != c[3]->GetLabel(0)) isFake = kTRUE;
2770 for(Int_t l = 0; l < kNSeedPlanes; l++) xpos[l] = fSeedTB[l]->GetX();
2772 for(int il=0; il<4; il++) yref[il] = cseed[planes[il]].GetYref(0);
2773 Int_t ll = c[3]->GetLabel(0);
2774 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
2775 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
2776 AliRieman *rim = GetRiemanFitter();
2777 TTreeSRedirector &cs0 = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
2779 <<"EventNumber=" << eventNumber
2780 <<"CandidateNumber=" << candidateNumber
2781 <<"isFake=" << isFake
2782 <<"config=" << config
2784 <<"chi2z=" << chi2[0]
2785 <<"chi2y=" << chi2[1]
2786 <<"Y2exp=" << cond2[0]
2787 <<"Z2exp=" << cond2[1]
2788 <<"X0=" << xpos[0] //layer[sLayer]->GetX()
2789 <<"X1=" << xpos[1] //layer[sLayer + 1]->GetX()
2790 <<"X2=" << xpos[2] //layer[sLayer + 2]->GetX()
2791 <<"X3=" << xpos[3] //layer[sLayer + 3]->GetX()
2792 <<"yref0=" << yref[0]
2793 <<"yref1=" << yref[1]
2794 <<"yref2=" << yref[2]
2795 <<"yref3=" << yref[3]
2800 <<"Seed0.=" << &cseed[planes[0]]
2801 <<"Seed1.=" << &cseed[planes[1]]
2802 <<"Seed2.=" << &cseed[planes[2]]
2803 <<"Seed3.=" << &cseed[planes[3]]
2804 <<"RiemanFitter.=" << rim
2807 if(chi2[0] > fkRecoParam->GetChi2Z()/*7./(3. - sLayer)*//*iter*/){
2808 AliDebug(3, Form("Filter on chi2Z [%f].", chi2[0]));
2809 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2812 if(chi2[1] > fkRecoParam->GetChi2Y()/*1./(3. - sLayer)*//*iter*/){
2813 AliDebug(3, Form("Filter on chi2Y [%f].", chi2[1]));
2814 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2817 //AliInfo("Passed chi2 filter.");
2819 // try attaching clusters to tracklets
2821 AliTRDcluster *cl = NULL;
2822 for(int iLayer=0; iLayer<kNSeedPlanes; iLayer++){
2823 Int_t jLayer = planes[iLayer];
2824 Int_t nNotInChamber = 0;
2825 if(!cseed[jLayer].AttachClusters(stack[jLayer], kTRUE)) continue;
2826 if(/*fkReconstructor->IsHLT()*/kFALSE){
2827 cseed[jLayer].UpdateUsed();
2828 if(!cseed[jLayer].IsOK()) continue;
2830 cseed[jLayer].Fit();
2831 cseed[jLayer].UpdateUsed();
2832 cseed[jLayer].ResetClusterIter();
2833 while((cl = cseed[jLayer].NextCluster())){
2834 if(!cl->IsInChamber()) nNotInChamber++;
2836 //printf("clusters[%d], used[%d], not in chamber[%d]\n", cseed[jLayer].GetN(), cseed[jLayer].GetNUsed(), nNotInChamber);
2837 if(cseed[jLayer].GetN() - (cseed[jLayer].GetNUsed() + nNotInChamber) < 5) continue; // checking for Cluster which are not in chamber is a much stronger restriction on real data
2842 if(mlayers < kNSeedPlanes){
2843 AliDebug(2, Form("Found only %d tracklets out of %d. Skip.", mlayers, kNSeedPlanes));
2844 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2848 // temporary exit door for the HLT
2849 if(fkReconstructor->IsHLT()){
2850 // attach clusters to extrapolation chambers
2851 for(int iLayer=0; iLayer<kNPlanes-kNSeedPlanes; iLayer++){
2852 Int_t jLayer = planesExt[iLayer];
2853 if(!(chamber = stack[jLayer])) continue;
2854 if(!cseed[jLayer].AttachClusters(chamber, kTRUE)) continue;
2855 cseed[jLayer].Fit();
2857 //FitTiltedRiemanConstraint(&cseed[0], GetZ());
2858 fTrackQuality[ntracks] = 1.; // dummy value
2860 if(ntracks == kMaxTracksStack) return ntracks;
2866 // Update Seeds and calculate Likelihood
2867 // fit tracklets and cook likelihood
2868 Double_t chi2Vals[4];
2869 chi2Vals[0] = FitTiltedRieman(&cseed[0], kTRUE);
2870 for(int iLayer=0; iLayer<kNSeedPlanes; iLayer++){
2871 Int_t jLayer = planes[iLayer];
2872 cseed[jLayer].Fit(1);
2874 Double_t like = CookLikelihood(&cseed[0], planes); // to be checked
2876 if (TMath::Log(1.E-9 + like) < fkRecoParam->GetTrackLikelihood()){
2877 AliDebug(3, Form("Filter on likelihood %f[%e].", TMath::Log(1.E-9 + like), like));
2878 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2881 //AliInfo(Form("Passed likelihood %f[%e].", TMath::Log(1.E-9 + like), like));
2883 // book preliminry results
2884 //seedQuality[ntracks] = like;
2885 fSeedLayer[ntracks] = config;/*sLayer;*/
2887 // attach clusters to the extrapolation seeds
2889 for(int iLayer=0; iLayer<kNPlanes-kNSeedPlanes; iLayer++){
2890 Int_t jLayer = planesExt[iLayer];
2891 if(!(chamber = stack[jLayer])) continue;
2893 // fit extrapolated seed
2894 if ((jLayer == 0) && !(cseed[1].IsOK())) continue;
2895 if ((jLayer == 5) && !(cseed[4].IsOK())) continue;
2896 AliTRDseedV1 pseed = cseed[jLayer];
2897 if(!pseed.AttachClusters(chamber, kTRUE)) continue;
2899 cseed[jLayer] = pseed;
2900 chi2Vals[0] = FitTiltedRieman(cseed, kTRUE);
2901 cseed[jLayer].Fit(1);
2905 // AliInfo("Extrapolation done.");
2906 // Debug Stream containing all the 6 tracklets
2907 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) >= 2 && fkReconstructor->IsDebugStreaming()){
2908 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
2909 TLinearFitter *tiltedRieman = GetTiltedRiemanFitter();
2910 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
2911 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
2912 cstreamer << "MakeSeeds1"
2913 << "EventNumber=" << eventNumber
2914 << "CandidateNumber=" << candidateNumber
2915 << "S0.=" << &cseed[0]
2916 << "S1.=" << &cseed[1]
2917 << "S2.=" << &cseed[2]
2918 << "S3.=" << &cseed[3]
2919 << "S4.=" << &cseed[4]
2920 << "S5.=" << &cseed[5]
2921 << "FitterT.=" << tiltedRieman
2925 if(fkRecoParam->HasImproveTracklets()){
2926 if(!ImproveSeedQuality(stack, cseed, chi2Vals[0])){
2927 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2928 AliDebug(3, "ImproveSeedQuality() failed.");
2932 // do track fitting with vertex constraint
2933 if(fkRecoParam->IsVertexConstrained()) chi2Vals[1] = FitTiltedRiemanConstraint(&cseed[0], GetZ());
2934 else chi2Vals[1] = -1.;
2935 chi2Vals[2] = GetChi2Z(&cseed[0]);
2936 chi2Vals[3] = GetChi2Phi(&cseed[0]);
2938 // calculate track quality
2939 fTrackQuality[ntracks] = CalculateTrackLikelihood(&chi2Vals[0]);
2941 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) >= 2 && fkReconstructor->IsDebugStreaming()){
2942 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
2943 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
2944 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
2945 TLinearFitter *fitterTC = GetTiltedRiemanFitterConstraint();
2946 TLinearFitter *fitterT = GetTiltedRiemanFitter();
2948 for(Int_t iseed = 0; iseed < kNPlanes; iseed++){
2949 ncls += cseed[iseed].IsOK() ? cseed[iseed].GetN2() : 0;
2951 cstreamer << "MakeSeeds2"
2952 << "EventNumber=" << eventNumber
2953 << "CandidateNumber=" << candidateNumber
2954 << "Chi2TR=" << chi2Vals[0]
2955 << "Chi2TC=" << chi2Vals[1]
2956 << "Nlayers=" << mlayers
2957 << "NClusters=" << ncls
2959 << "S0.=" << &cseed[0]
2960 << "S1.=" << &cseed[1]
2961 << "S2.=" << &cseed[2]
2962 << "S3.=" << &cseed[3]
2963 << "S4.=" << &cseed[4]
2964 << "S5.=" << &cseed[5]
2965 << "FitterT.=" << fitterT
2966 << "FitterTC.=" << fitterTC
2969 if(AliLog::GetDebugLevel("TRD", "AliTRDtrackerV1")){
2970 Double_t pt[]={0., 0.};
2971 for(Int_t il(0); il<kNPlanes; il++){
2972 if(!cseed[il].IsOK()) continue;
2973 pt[0] = GetBz()*kB2C/cseed[il].GetC();
2974 pt[1] = GetBz()*kB2C/cseed[il].GetC(1);
2977 AliDebug(2, Form("Candidate[%2d] pt[%7.3f %7.3f] Q[%e]\n"
2978 " [0] x[%6.2f] n[%2d] nu[%d] OK[%c]\n"
2979 " [1] x[%6.2f] n[%2d] nu[%d] OK[%c]\n"
2980 " [2] x[%6.2f] n[%2d] nu[%d] OK[%c]\n"
2981 " [3] x[%6.2f] n[%2d] nu[%d] OK[%c]\n"
2982 " [4] x[%6.2f] n[%2d] nu[%d] OK[%c]\n"
2983 " [5] x[%6.2f] n[%2d] nu[%d] OK[%c]"
2984 , ntracks, pt[0], pt[1], fTrackQuality[ntracks]
2985 ,cseed[0].GetX(), cseed[0].GetN(), cseed[0].GetNUsed(), cseed[0].IsOK()?'y':'n'
2986 ,cseed[1].GetX(), cseed[1].GetN(), cseed[1].GetNUsed(), cseed[1].IsOK()?'y':'n'
2987 ,cseed[2].GetX(), cseed[2].GetN(), cseed[2].GetNUsed(), cseed[2].IsOK()?'y':'n'
2988 ,cseed[3].GetX(), cseed[3].GetN(), cseed[3].GetNUsed(), cseed[3].IsOK()?'y':'n'
2989 ,cseed[4].GetX(), cseed[4].GetN(), cseed[4].GetNUsed(), cseed[4].IsOK()?'y':'n'
2990 ,cseed[5].GetX(), cseed[5].GetN(), cseed[5].GetNUsed(), cseed[5].IsOK()?'y':'n'));
2993 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2994 if(ntracks == kMaxTracksStack){
2995 AliWarning(Form("Number of seeds reached maximum allowed (%d) in stack.", kMaxTracksStack));
3006 //_____________________________________________________________________________
3007 AliTRDtrackV1* AliTRDtrackerV1::MakeTrack(AliTRDseedV1 * const tracklet)
3010 // Build a TRD track out of tracklet candidates
3013 // seeds : array of tracklets
3014 // params : array of track parameters as they are estimated by stand alone tracker. 7 elements.
3015 // [0] - radial position of the track at reference point
3016 // [1] - y position of the fit at [0]
3017 // [2] - z position of the fit at [0]
3018 // [3] - snp of the first tracklet
3019 // [4] - tgl of the first tracklet
3020 // [5] - curvature of the Riemann fit - 1/pt
3021 // [6] - sector rotation angle
3026 // Initialize the TRD track based on the parameters of the fit and a parametric covariance matrix
3027 // (diagonal with constant variance terms TODO - correct parameterization)
3029 // In case of HLT just register the tracklets in the tracker and return values of the Riemann fit. For the
3030 // offline case perform a full Kalman filter on the already found tracklets (see AliTRDtrackerV1::FollowBackProlongation()
3031 // for details). Do also MC label calculation and PID if propagation successfully.
3033 if(fkReconstructor->IsHLT()) FitTiltedRiemanConstraint(tracklet, 0);
3034 Double_t alpha = AliTRDgeometry::GetAlpha();
3035 Double_t shift = AliTRDgeometry::GetAlpha()/2.0;
3037 // find first good tracklet
3038 Int_t idx(0); while(idx<kNPlanes && !tracklet[idx].IsOK()) idx++;
3039 if(idx>2){ AliDebug(1, Form("Found suspect track start @ layer idx[%d]\n"
3040 " %c[0] x0[%f] n[%d] nu[%d] OK[%c]\n"
3041 " %c[1] x0[%f] n[%d] nu[%d] OK[%c]\n"
3042 " %c[2] x0[%f] n[%d] nu[%d] OK[%c]\n"
3043 " %c[3] x0[%f] n[%d] nu[%d] OK[%c]\n"
3044 " %c[4] x0[%f] n[%d] nu[%d] OK[%c]\n"
3045 " %c[5] x0[%f] n[%d] nu[%d] OK[%c]"
3047 ,idx==0?'*':' ', tracklet[0].GetX0(), tracklet[0].GetN(), tracklet[0].GetNUsed(), tracklet[0].IsOK()?'y':'n'
3048 ,idx==1?'*':' ', tracklet[1].GetX0(), tracklet[1].GetN(), tracklet[1].GetNUsed(), tracklet[1].IsOK()?'y':'n'
3049 ,idx==2?'*':' ', tracklet[2].GetX0(), tracklet[2].GetN(), tracklet[2].GetNUsed(), tracklet[2].IsOK()?'y':'n'
3050 ,idx==3?'*':' ', tracklet[3].GetX0(), tracklet[3].GetN(), tracklet[3].GetNUsed(), tracklet[3].IsOK()?'y':'n'
3051 ,idx==4?'*':' ', tracklet[4].GetX0(), tracklet[4].GetN(), tracklet[4].GetNUsed(), tracklet[4].IsOK()?'y':'n'
3052 ,idx==5?'*':' ', tracklet[5].GetX0(), tracklet[5].GetN(), tracklet[5].GetNUsed(), tracklet[5].IsOK()?'y':'n'));
3057 Double_t x(tracklet[idx].GetX0() - dx);
3058 // Build track parameters
3059 Double_t params[] = {
3060 tracklet[idx].GetYref(0) - dx*tracklet[idx].GetYref(1) // y
3061 ,tracklet[idx].GetZref(0) - dx*tracklet[idx].GetZref(1) // z
3062 ,TMath::Sin(TMath::ATan(tracklet[idx].GetYref(1))) // snp
3063 ,tracklet[idx].GetZref(1) / TMath::Sqrt(1. + tracklet[idx].GetYref(1) * tracklet[idx].GetYref(1)) // tgl
3064 ,tracklet[idx].GetC(fkReconstructor->IsHLT()?1:0) // curvature -> 1/pt
3066 Int_t sector(fGeom->GetSector(tracklet[idx].GetDetector()));
3069 c[ 0] = 0.2; // s^2_y
3070 c[ 1] = 0.0; c[ 2] = 2.0; // s^2_z
3071 c[ 3] = 0.0; c[ 4] = 0.0; c[ 5] = 0.02; // s^2_snp
3072 c[ 6] = 0.0; c[ 7] = 0.0; c[ 8] = 0.0; c[ 9] = 0.1; // s^2_tgl
3073 c[10] = 0.0; c[11] = 0.0; c[12] = 0.0; c[13] = 0.0; c[14] = params[4]*params[4]*0.01; // s^2_1/pt
3075 AliTRDtrackV1 track(tracklet, params, c, x, sector*alpha+shift);
3077 AliTRDseedV1 *ptrTracklet = NULL;
3079 // skip Kalman filter for HLT
3080 if(/*fkReconstructor->IsHLT()*/kFALSE){
3081 for (Int_t jLayer = 0; jLayer < AliTRDgeometry::kNlayer; jLayer++) {
3082 track.UnsetTracklet(jLayer);
3083 ptrTracklet = &tracklet[jLayer];
3084 if(!ptrTracklet->IsOK()) continue;
3085 if(TMath::Abs(ptrTracklet->GetYref(1) - ptrTracklet->GetYfit(1)) >= .2) continue; // check this condition with Marian
3086 ptrTracklet = SetTracklet(ptrTracklet);
3087 ptrTracklet->UseClusters();
3088 track.SetTracklet(ptrTracklet, fTracklets->GetEntriesFast()-1);
3090 AliTRDtrackV1 *ptrTrack = SetTrack(&track);
3091 ptrTrack->CookPID();
3092 ptrTrack->CookLabel(.9);
3093 ptrTrack->SetReconstructor(fkReconstructor);
3097 // prevent the error message in AliTracker::MeanMaterialBudget: "start point out of geometry"
3098 if(TMath::Abs(track.GetX()) + TMath::Abs(track.GetY()) + TMath::Abs(track.GetZ()) > 10000) return NULL;
3100 track.ResetCovariance(1);
3101 Int_t nc = TMath::Abs(FollowBackProlongation(track));
3102 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 5 && fkReconstructor->IsDebugStreaming()){
3103 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
3104 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
3105 Double_t p[5]; // Track Params for the Debug Stream
3106 track.GetExternalParameters(x, p);
3107 TTreeSRedirector &cs = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
3109 << "EventNumber=" << eventNumber
3110 << "CandidateNumber=" << candidateNumber
3118 << "Yin=" << params[0]
3119 << "Zin=" << params[1]
3120 << "snpin=" << params[2]
3121 << "tndin=" << params[3]
3122 << "crvin=" << params[4]
3123 << "track.=" << &track
3127 UnsetTrackletsTrack(&track);
3130 AliTRDtrackV1 *ptrTrack = SetTrack(&track);
3131 ptrTrack->SetReconstructor(fkReconstructor);
3132 ptrTrack->CookLabel(.9);
3133 for(Int_t il(kNPlanes); il--;){
3134 if(!(ptrTracklet = ptrTrack->GetTracklet(il))) continue;
3135 ptrTracklet->UseClusters();
3138 // computes PID for track
3139 ptrTrack->CookPID();
3140 // update calibration references using this track
3141 AliTRDCalibraFillHisto *calibra = AliTRDCalibraFillHisto::Instance();
3143 AliInfo("Could not get Calibra instance.");
3144 } else if(calibra->GetHisto2d()){
3145 calibra->UpdateHistogramsV1(ptrTrack);
3151 //____________________________________________________________________
3152 Bool_t AliTRDtrackerV1::ImproveSeedQuality(AliTRDtrackingChamber **stack, AliTRDseedV1 *cseed, Double_t &chi2)
3155 // Sort tracklets according to "quality" and try to "improve" the first 4 worst
3158 // layers : Array of propagation layers for a stack/supermodule
3159 // cseed : Array of 6 seeding tracklets which has to be improved
3162 // cssed : Improved seeds
3164 // Detailed description
3166 // Iterative procedure in which new clusters are searched for each
3167 // tracklet seed such that the seed quality (see AliTRDseed::GetQuality())
3168 // can be maximized. If some optimization is found the old seeds are replaced.
3173 // make a local working copy
3174 AliTRDtrackingChamber *chamber = NULL;
3175 AliTRDseedV1 bseed[AliTRDgeometry::kNlayer];
3177 Float_t quality(1.e3),
3178 lQuality[AliTRDgeometry::kNlayer] = {1.e3, 1.e3, 1.e3, 1.e3, 1.e3, 1.e3};
3180 for(Int_t jLayer=AliTRDgeometry::kNlayer; jLayer--;){
3181 bseed[jLayer] = cseed[jLayer];
3182 if(!bseed[jLayer].IsOK()) continue;
3184 lQuality[jLayer] = bseed[jLayer].GetQuality(kTRUE);
3185 quality += lQuality[jLayer];
3190 AliDebug(2, Form("Start N[%d] Q[%f] chi2[%f]", rLayers, quality, chi2));
3192 for (Int_t iter = 0; iter < 4; iter++) {
3193 // Try better cluster set
3194 Int_t nLayers(0); Float_t qualitynew(0.);
3195 Int_t indexes[4*AliTRDgeometry::kNlayer];
3196 TMath::Sort(Int_t(AliTRDgeometry::kNlayer), lQuality, indexes, kFALSE);
3197 for(Int_t jLayer=AliTRDgeometry::kNlayer; jLayer--;) {
3198 Int_t bLayer = indexes[jLayer];
3199 bseed[bLayer].Reset("c");
3200 if(!(chamber = stack[bLayer])) continue;
3201 if(!bseed[bLayer].AttachClusters(chamber, kTRUE)) continue;
3202 bseed[bLayer].Fit(1);
3203 if(!bseed[bLayer].IsOK()) continue;
3205 lQuality[jLayer] = bseed[jLayer].GetQuality(kTRUE);
3206 qualitynew += lQuality[jLayer];
3208 if(rLayers > nLayers){
3209 AliDebug(1, Form("Lost %d tracklets while improving.", rLayers-nLayers));
3210 return iter>0?kTRUE:kFALSE;
3211 } else rLayers=nLayers;
3212 qualitynew /= rLayers;
3214 if(qualitynew > quality){
3215 AliDebug(4, Form("Quality[%f] worsen in iter[%d] to ref[%f].", qualitynew, iter, quality));
3216 return iter>0?kTRUE:kFALSE;
3217 } else quality = qualitynew;
3219 // try improve track parameters
3220 Float_t chi2new = FitTiltedRieman(bseed, kTRUE);
3222 AliDebug(4, Form("Chi2[%f] worsen in iter[%d] to ref[%f].", chi2new, iter, chi2));
3223 return iter>0?kTRUE:kFALSE;
3224 } else chi2 = chi2new;
3226 // store better tracklets
3227 for(Int_t jLayer=AliTRDgeometry::kNlayer; jLayer--;) cseed[jLayer]=bseed[jLayer];
3228 AliDebug(2, Form("Iter[%d] Q[%f] chi2[%f]", iter, quality, chi2));
3231 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) >= 7 && fkReconstructor->IsDebugStreaming()){
3232 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
3233 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
3234 TLinearFitter *tiltedRieman = GetTiltedRiemanFitter();
3235 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
3236 cstreamer << "ImproveSeedQuality"
3237 << "EventNumber=" << eventNumber
3238 << "CandidateNumber=" << candidateNumber
3239 << "Iteration=" << iter
3240 << "S0.=" << &cseed[0]
3241 << "S1.=" << &cseed[1]
3242 << "S2.=" << &cseed[2]
3243 << "S3.=" << &cseed[3]
3244 << "S4.=" << &cseed[4]
3245 << "S5.=" << &cseed[5]
3246 << "FitterT.=" << tiltedRieman
3251 // we are sure that at least 4 tracklets are OK !
3255 //_________________________________________________________________________
3256 Double_t AliTRDtrackerV1::CalculateTrackLikelihood(Double_t *chi2){
3258 // Calculates the Track Likelihood value. This parameter serves as main quality criterion for
3259 // the track selection
3260 // The likelihood value containes:
3261 // - The chi2 values from the both fitters and the chi2 values in z-direction from a linear fit
3262 // - The Sum of the Parameter |slope_ref - slope_fit|/Sigma of the tracklets
3263 // For all Parameters an exponential dependency is used
3265 // Parameters: - Array of tracklets (AliTRDseedV1) related to the track candidate
3266 // - Array of chi2 values:
3267 // * Non-Constrained Tilted Riemann fit
3268 // * Vertex-Constrained Tilted Riemann fit
3269 // * z-Direction from Linear fit
3270 // Output: - The calculated track likelihood
3275 // Non-constrained Tilted Riemann
3276 Double_t likeChi2TR = TMath::Exp(-chi2[0] * 0.0078);
3277 // Constrained Tilted Riemann
3278 Double_t likeChi2TC(1.);
3280 likeChi2TC = TMath::Exp(-chi2[1] * 0.677);
3281 Double_t r = likeChi2TC/likeChi2TR;
3282 if(r>1.e2){;} // -> a primary track use TC
3283 else if(r<1.e2) // -> a secondary track use TR
3285 else{;} // -> test not conclusive
3287 // Chi2 only on Z direction
3288 Double_t likeChi2Z = TMath::Exp(-chi2[2] * 0.14);
3289 // Chi2 angular resolution
3290 Double_t likeChi2Phi= TMath::Exp(-chi2[3] * 3.23);
3292 Double_t trackLikelihood = likeChi2Z * likeChi2TR * likeChi2TC * likeChi2Phi;
3294 AliDebug(2, Form("Likelihood [%e]\n"
3295 " Rieman : chi2[%f] likelihood[%6.2e]\n"
3296 " Vertex : chi2[%f] likelihood[%6.2e]\n"
3297 " Z : chi2[%f] likelihood[%6.2e]\n"
3298 " Phi : chi2[%f] likelihood[%6.2e]"
3300 , chi2[0], likeChi2TR
3301 , chi2[1], likeChi2TC
3302 , chi2[2], likeChi2Z
3303 , chi2[3], likeChi2Phi
3306 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) >= 2 && fkReconstructor->IsDebugStreaming()){
3307 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
3308 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
3309 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
3310 cstreamer << "CalculateTrackLikelihood0"
3311 << "EventNumber=" << eventNumber
3312 << "CandidateNumber=" << candidateNumber
3313 << "LikeChi2Z=" << likeChi2Z
3314 << "LikeChi2TR=" << likeChi2TR
3315 << "LikeChi2TC=" << likeChi2TC
3316 << "LikeChi2Phi=" << likeChi2Phi
3317 << "TrackLikelihood=" << trackLikelihood
3321 return trackLikelihood;
3324 //____________________________________________________________________
3325 Double_t AliTRDtrackerV1::CookLikelihood(AliTRDseedV1 *cseed, Int_t planes[4])
3328 // Calculate the probability of this track candidate.
3331 // cseeds : array of candidate tracklets
3332 // planes : array of seeding planes (see seeding configuration)
3333 // chi2 : chi2 values (on the Z and Y direction) from the rieman fit of the track.
3338 // Detailed description
3340 // The track quality is estimated based on the following 4 criteria:
3341 // 1. precision of the rieman fit on the Y direction (likea)
3342 // 2. chi2 on the Y direction (likechi2y)
3343 // 3. chi2 on the Z direction (likechi2z)
3344 // 4. number of attached clusters compared to a reference value
3345 // (see AliTRDrecoParam::fkFindable) (likeN)
3347 // The distributions for each type of probabilities are given below as of
3348 // (date). They have to be checked to assure consistency of estimation.
3351 // ratio of the total number of clusters/track which are expected to be found by the tracker.
3352 Double_t chi2y = GetChi2Y(&cseed[0]);
3353 Double_t chi2z = GetChi2Z(&cseed[0]);
3355 Float_t nclusters = 0.;
3356 Double_t sumda = 0.;
3357 for(UChar_t ilayer = 0; ilayer < 4; ilayer++){
3358 Int_t jlayer = planes[ilayer];
3359 nclusters += cseed[jlayer].GetN2();
3360 sumda += TMath::Abs(cseed[jlayer].GetYfit(1) - cseed[jlayer].GetYref(1));
3364 Double_t likea = TMath::Exp(-sumda * fkRecoParam->GetPhiSlope());
3365 Double_t likechi2y = 0.0000000001;
3366 if (fkReconstructor->IsCosmic() || chi2y < fkRecoParam->GetChi2YCut()) likechi2y += TMath::Exp(-TMath::Sqrt(chi2y) * fkRecoParam->GetChi2YSlope());
3367 Double_t likechi2z = TMath::Exp(-chi2z * fkRecoParam->GetChi2ZSlope());
3368 Double_t likeN = TMath::Exp(-(fkRecoParam->GetNMeanClusters() - nclusters) / fkRecoParam->GetNSigmaClusters());
3369 Double_t like = likea * likechi2y * likechi2z * likeN;
3371 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) >= 2 && fkReconstructor->IsDebugStreaming()){
3372 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
3373 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
3374 Int_t nTracklets = 0; Float_t meanNcls = 0;
3375 for(Int_t iseed=0; iseed < kNPlanes; iseed++){
3376 if(!cseed[iseed].IsOK()) continue;
3378 meanNcls += cseed[iseed].GetN2();
3380 if(nTracklets) meanNcls /= nTracklets;
3381 // The Debug Stream contains the seed
3382 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
3383 cstreamer << "CookLikelihood"
3384 << "EventNumber=" << eventNumber
3385 << "CandidateNumber=" << candidateNumber
3386 << "tracklet0.=" << &cseed[0]
3387 << "tracklet1.=" << &cseed[1]
3388 << "tracklet2.=" << &cseed[2]
3389 << "tracklet3.=" << &cseed[3]
3390 << "tracklet4.=" << &cseed[4]
3391 << "tracklet5.=" << &cseed[5]
3392 << "sumda=" << sumda
3393 << "chi2y=" << chi2y
3394 << "chi2z=" << chi2z
3395 << "likea=" << likea
3396 << "likechi2y=" << likechi2y
3397 << "likechi2z=" << likechi2z
3398 << "nclusters=" << nclusters
3399 << "likeN=" << likeN
3401 << "meanncls=" << meanNcls
3408 //____________________________________________________________________
3409 void AliTRDtrackerV1::GetSeedingConfig(Int_t iconfig, Int_t planes[4])
3412 // Map seeding configurations to detector planes.
3415 // iconfig : configuration index
3416 // planes : member planes of this configuration. On input empty.
3419 // planes : contains the planes which are defining the configuration
3421 // Detailed description
3423 // Here is the list of seeding planes configurations together with
3424 // their topological classification:
3442 // The topologic quality is modeled as follows:
3443 // 1. The general model is define by the equation:
3444 // p(conf) = exp(-conf/2)
3445 // 2. According to the topologic classification, configurations from the same
3446 // class are assigned the agerage value over the model values.
3447 // 3. Quality values are normalized.
3449 // The topologic quality distribution as function of configuration is given below:
3451 // <img src="gif/topologicQA.gif">
3456 case 0: // 5432 TQ 0
3462 case 1: // 4321 TQ 0
3468 case 2: // 3210 TQ 0
3474 case 3: // 5321 TQ 1
3480 case 4: // 4210 TQ 1
3486 case 5: // 5431 TQ 1
3492 case 6: // 4320 TQ 1
3498 case 7: // 5430 TQ 2
3504 case 8: // 5210 TQ 2
3510 case 9: // 5421 TQ 3
3516 case 10: // 4310 TQ 3
3522 case 11: // 5410 TQ 4
3528 case 12: // 5420 TQ 5
3534 case 13: // 5320 TQ 5
3540 case 14: // 5310 TQ 5
3549 //____________________________________________________________________
3550 void AliTRDtrackerV1::GetExtrapolationConfig(Int_t iconfig, Int_t planes[2])
3553 // Returns the extrapolation planes for a seeding configuration.
3556 // iconfig : configuration index
3557 // planes : planes which are not in this configuration. On input empty.
3560 // planes : contains the planes which are not in the configuration
3562 // Detailed description
3566 case 0: // 5432 TQ 0
3570 case 1: // 4321 TQ 0
3574 case 2: // 3210 TQ 0
3578 case 3: // 5321 TQ 1
3582 case 4: // 4210 TQ 1
3586 case 5: // 5431 TQ 1
3590 case 6: // 4320 TQ 1
3594 case 7: // 5430 TQ 2
3598 case 8: // 5210 TQ 2
3602 case 9: // 5421 TQ 3
3606 case 10: // 4310 TQ 3
3610 case 11: // 5410 TQ 4
3614 case 12: // 5420 TQ 5
3618 case 13: // 5320 TQ 5
3622 case 14: // 5310 TQ 5
3629 //____________________________________________________________________
3630 AliCluster* AliTRDtrackerV1::GetCluster(Int_t idx) const
3632 if(!fClusters) return NULL;
3633 Int_t ncls = fClusters->GetEntriesFast();
3634 return idx >= 0 && idx < ncls ? (AliCluster*)fClusters->UncheckedAt(idx) : NULL;
3637 //____________________________________________________________________
3638 AliTRDseedV1* AliTRDtrackerV1::GetTracklet(Int_t idx) const
3640 if(!fTracklets) return NULL;
3641 Int_t ntrklt = fTracklets->GetEntriesFast();
3642 return idx >= 0 && idx < ntrklt ? (AliTRDseedV1*)fTracklets->UncheckedAt(idx) : NULL;
3645 //____________________________________________________________________
3646 AliKalmanTrack* AliTRDtrackerV1::GetTrack(Int_t idx) const
3648 if(!fTracks) return NULL;
3649 Int_t ntrk = fTracks->GetEntriesFast();
3650 return idx >= 0 && idx < ntrk ? (AliKalmanTrack*)fTracks->UncheckedAt(idx) : NULL;
3655 // //_____________________________________________________________________________
3656 // Int_t AliTRDtrackerV1::Freq(Int_t n, const Int_t *inlist
3657 // , Int_t *outlist, Bool_t down)
3660 // // Sort eleements according occurancy
3661 // // The size of output array has is 2*n
3668 // Int_t *sindexS = new Int_t[n]; // Temporary array for sorting
3669 // Int_t *sindexF = new Int_t[2*n];
3670 // for (Int_t i = 0; i < n; i++) {
3674 // TMath::Sort(n,inlist,sindexS,down);
3676 // Int_t last = inlist[sindexS[0]];
3677 // Int_t val = last;
3679 // sindexF[0+n] = last;
3680 // Int_t countPos = 0;
3682 // // Find frequency
3683 // for (Int_t i = 1; i < n; i++) {
3684 // val = inlist[sindexS[i]];
3685 // if (last == val) {
3686 // sindexF[countPos]++;
3690 // sindexF[countPos+n] = val;
3691 // sindexF[countPos]++;
3695 // if (last == val) {
3699 // // Sort according frequency
3700 // TMath::Sort(countPos,sindexF,sindexS,kTRUE);
3702 // for (Int_t i = 0; i < countPos; i++) {
3703 // outlist[2*i ] = sindexF[sindexS[i]+n];
3704 // outlist[2*i+1] = sindexF[sindexS[i]];
3707 // delete [] sindexS;
3708 // delete [] sindexF;
3715 //____________________________________________________________________
3716 void AliTRDtrackerV1::ResetSeedTB()
3718 // reset buffer for seeding time bin layers. If the time bin
3719 // layers are not allocated this function allocates them
3721 for(Int_t isl=0; isl<kNSeedPlanes; isl++){
3722 if(!fSeedTB[isl]) fSeedTB[isl] = new AliTRDchamberTimeBin();
3723 else fSeedTB[isl]->Clear();
3728 //_____________________________________________________________________________
3729 Float_t AliTRDtrackerV1::GetChi2Y(const AliTRDseedV1 * const tracklets) const
3731 // Calculates normalized chi2 in y-direction
3732 // chi2 = Sum chi2 / n_tracklets
3734 Double_t chi2 = 0.; Int_t n = 0;
3735 for(Int_t ipl = kNPlanes; ipl--;){
3736 if(!tracklets[ipl].IsOK()) continue;
3737 chi2 += tracklets[ipl].GetChi2Y();
3740 return n ? chi2/n : 0.;
3743 //_____________________________________________________________________________
3744 Float_t AliTRDtrackerV1::GetChi2Z(const AliTRDseedV1 *const tracklets) const
3746 // Calculates normalized chi2 in z-direction
3747 // chi2 = Sum chi2 / n_tracklets
3749 Double_t chi2 = 0; Int_t n = 0;
3750 for(Int_t ipl = kNPlanes; ipl--;){
3751 if(!tracklets[ipl].IsOK()) continue;
3752 chi2 += tracklets[ipl].GetChi2Z();
3755 return n ? chi2/n : 0.;
3758 //_____________________________________________________________________________
3759 Float_t AliTRDtrackerV1::GetChi2Phi(const AliTRDseedV1 *const tracklets) const
3761 // Calculates normalized chi2 for angular resolution
3762 // chi2 = Sum chi2 / n_tracklets
3764 Double_t chi2 = 0; Int_t n = 0;
3765 for (Int_t iLayer = 0; iLayer < kNPlanes; iLayer++) {
3766 if(!tracklets[iLayer].IsOK()) continue;
3767 chi2 += tracklets[iLayer].GetChi2Phi();
3770 return n ? chi2/n: 0.;
3773 //____________________________________________________________________
3774 Float_t AliTRDtrackerV1::CalculateReferenceX(const AliTRDseedV1 *const tracklets){
3776 // Calculates the reference x-position for the tilted Rieman fit defined as middle
3777 // of the stack (middle between layers 2 and 3). For the calculation all the tracklets
3778 // are taken into account
3780 // Parameters: - Array of tracklets(AliTRDseedV1)
3782 // Output: - The reference x-position(Float_t)
3783 // Only kept for compatibility with the old code
3785 Int_t nDistances = 0;
3786 Float_t meanDistance = 0.;
3787 Int_t startIndex = 5;
3788 for(Int_t il =5; il > 0; il--){
3789 if(tracklets[il].IsOK() && tracklets[il -1].IsOK()){
3790 Float_t xdiff = tracklets[il].GetX0() - tracklets[il -1].GetX0();
3791 meanDistance += xdiff;
3794 if(tracklets[il].IsOK()) startIndex = il;
3796 if(tracklets[0].IsOK()) startIndex = 0;
3798 // We should normally never get here
3799 Float_t xpos[2]; memset(xpos, 0, sizeof(Float_t) * 2);
3800 Int_t iok = 0, idiff = 0;
3801 // This attempt is worse and should be avoided:
3802 // check for two chambers which are OK and repeat this without taking the mean value
3803 // Strategy avoids a division by 0;
3804 for(Int_t il = 5; il >= 0; il--){
3805 if(tracklets[il].IsOK()){
3806 xpos[iok] = tracklets[il].GetX0();
3810 if(iok) idiff++; // to get the right difference;
3814 meanDistance = (xpos[0] - xpos[1])/idiff;
3817 // we have do not even have 2 layers which are OK? The we do not need to fit at all
3822 meanDistance /= nDistances;
3824 return tracklets[startIndex].GetX0() + (2.5 - startIndex) * meanDistance - 0.5 * (AliTRDgeometry::AmThick() + AliTRDgeometry::DrThick());
3827 //_____________________________________________________________________________
3828 Double_t AliTRDtrackerV1::FitTiltedRiemanV1(AliTRDseedV1 *const tracklets){
3830 // Track Fitter Function using the new class implementation of
3833 AliTRDtrackFitterRieman fitter;
3834 fitter.SetRiemanFitter(GetTiltedRiemanFitter());
3836 for(Int_t il = 0; il < AliTRDgeometry::kNlayer; il++) fitter.SetTracklet(il, &tracklets[il]);
3837 Double_t chi2 = fitter.Eval();
3838 // Update the tracklets
3839 Double_t cov[15]; Double_t x0;
3840 memset(cov, 0, sizeof(Double_t) * 15);
3841 for(Int_t il = 0; il < AliTRDgeometry::kNlayer; il++){
3842 x0 = tracklets[il].GetX0();
3843 tracklets[il].SetYref(0, fitter.GetYat(x0));
3844 tracklets[il].SetZref(0, fitter.GetZat(x0));
3845 tracklets[il].SetYref(1, fitter.GetDyDxAt(x0));
3846 tracklets[il].SetZref(1, fitter.GetDzDx());
3847 tracklets[il].SetC(fitter.GetCurvature());
3848 fitter.GetCovAt(x0, cov);
3849 tracklets[il].SetCovRef(cov);
3850 tracklets[il].SetChi2(chi2);
3855 //____________________________________________________________________
3856 void AliTRDtrackerV1::UnsetTrackletsTrack(const AliTRDtrackV1 * const track)
3858 // Remove tracklets from tracker list attached to "track"
3860 for(Int_t il(0); il<kNPlanes; il++){
3861 if((idx = track->GetTrackletIndex(il)) < 0) continue;
3862 delete (fTracklets->RemoveAt(idx));
3867 ///////////////////////////////////////////////////////
3869 // Resources of class AliTRDLeastSquare //
3871 ///////////////////////////////////////////////////////
3873 //_____________________________________________________________________________
3874 AliTRDtrackerV1::AliTRDLeastSquare::AliTRDLeastSquare(){
3876 // Constructor of the nested class AliTRDtrackFitterLeastSquare
3878 // Fast solving linear regresion in 2D
3880 // The data members have the following meaning
3891 // fCovarianceMatrix[0] : s2a
3892 // fCovarianceMatrix[1] : s2b
3893 // fCovarianceMatrix[2] : cov(ab)
3895 memset(fParams, 0, sizeof(Double_t) * 2);
3896 memset(fSums, 0, sizeof(Double_t) * 6);
3897 memset(fCovarianceMatrix, 0, sizeof(Double_t) * 3);
3901 //_____________________________________________________________________________
3902 void AliTRDtrackerV1::AliTRDLeastSquare::AddPoint(const Double_t *const x, Double_t y, Double_t sigmaY){
3904 // Adding Point to the fitter
3907 Double_t weight = 1/(sigmaY > 1e-9 ? sigmaY : 1e-9);
3909 const Double_t &xpt = *x;
3910 // printf("Adding point x = %f, y = %f, sigma = %f\n", xpt, y, sigmaY);
3912 fSums[1] += weight * xpt;
3913 fSums[2] += weight * y;
3914 fSums[3] += weight * xpt * y;
3915 fSums[4] += weight * xpt * xpt;
3916 fSums[5] += weight * y * y;
3919 //_____________________________________________________________________________
3920 void AliTRDtrackerV1::AliTRDLeastSquare::RemovePoint(const Double_t *const x, Double_t y, Double_t sigmaY){
3922 // Remove Point from the sample
3925 Double_t weight = 1/(sigmaY > 1e-9 ? sigmaY : 1e-9);
3927 const Double_t &xpt = *x;
3929 fSums[1] -= weight * xpt;
3930 fSums[2] -= weight * y;
3931 fSums[3] -= weight * xpt * y;
3932 fSums[4] -= weight * xpt * xpt;
3933 fSums[5] -= weight * y * y;
3936 //_____________________________________________________________________________
3937 Bool_t AliTRDtrackerV1::AliTRDLeastSquare::Eval(){
3939 // Evaluation of the fit:
3940 // Calculation of the parameters
3941 // Calculation of the covariance matrix
3944 Double_t det = fSums[0] * fSums[4] - fSums[1] *fSums[1];
3945 if(TMath::Abs(det)<1.e-30) return kFALSE;
3947 // for(Int_t isum = 0; isum < 5; isum++)
3948 // printf("fSums[%d] = %f\n", isum, fSums[isum]);
3949 // printf("denominator = %f\n", denominator);
3950 fParams[0] = (fSums[2] * fSums[4] - fSums[1] * fSums[3])/det;
3951 fParams[1] = (fSums[0] * fSums[3] - fSums[1] * fSums[2])/det;
3952 // printf("fParams[0] = %f, fParams[1] = %f\n", fParams[0], fParams[1]);
3954 // Covariance matrix
3955 Double_t den = fSums[0]*fSums[4] - fSums[1]*fSums[1];
3956 fCovarianceMatrix[0] = fSums[4] / den;
3957 fCovarianceMatrix[1] = fSums[0] / den;
3958 fCovarianceMatrix[2] = -fSums[1] / den;
3959 /* fCovarianceMatrix[0] = fSums[4] / fSums[0] - fSums[1] * fSums[1] / (fSums[0] * fSums[0]);
3960 fCovarianceMatrix[1] = fSums[5] / fSums[0] - fSums[2] * fSums[2] / (fSums[0] * fSums[0]);
3961 fCovarianceMatrix[2] = fSums[3] / fSums[0] - fSums[1] * fSums[2] / (fSums[0] * fSums[0]);*/
3968 //_____________________________________________________________________________
3969 Double_t AliTRDtrackerV1::AliTRDLeastSquare::GetFunctionValue(const Double_t *const xpos) const {
3971 // Returns the Function value of the fitted function at a given x-position
3973 return fParams[0] + fParams[1] * (*xpos);
3976 //_____________________________________________________________________________
3977 void AliTRDtrackerV1::AliTRDLeastSquare::GetCovarianceMatrix(Double_t *storage) const {
3979 // Copies the values of the covariance matrix into the storage
3981 memcpy(storage, fCovarianceMatrix, sizeof(Double_t) * 3);
3984 //_____________________________________________________________________________
3985 void AliTRDtrackerV1::AliTRDLeastSquare::Reset(){
3989 memset(fParams, 0, sizeof(Double_t) * 2);
3990 memset(fCovarianceMatrix, 0, sizeof(Double_t) * 3);
3991 memset(fSums, 0, sizeof(Double_t) * 6);
3994 ///////////////////////////////////////////////////////
3996 // Resources of class AliTRDtrackFitterRieman //
3998 ///////////////////////////////////////////////////////
4000 //_____________________________________________________________________________
4001 AliTRDtrackerV1::AliTRDtrackFitterRieman::AliTRDtrackFitterRieman():
4007 fSysClusterError(0.)
4010 // Default constructor
4012 fZfitter = new AliTRDLeastSquare;
4013 fCovarPolY = new TMatrixD(3,3);
4014 fCovarPolZ = new TMatrixD(2,2);
4015 memset(fTracklets, 0, sizeof(AliTRDseedV1 *) * 6);
4016 memset(fParameters, 0, sizeof(Double_t) * 5);
4017 memset(fSumPolY, 0, sizeof(Double_t) * 5);
4018 memset(fSumPolZ, 0, sizeof(Double_t) * 2);
4021 //_____________________________________________________________________________
4022 AliTRDtrackerV1::AliTRDtrackFitterRieman::~AliTRDtrackFitterRieman(){
4026 if(fZfitter) delete fZfitter;
4027 if(fCovarPolY) delete fCovarPolY;
4028 if(fCovarPolZ) delete fCovarPolZ;
4031 //_____________________________________________________________________________
4032 void AliTRDtrackerV1::AliTRDtrackFitterRieman::Reset(){
4037 fTrackFitter->StoreData(kTRUE);
4038 fTrackFitter->ClearPoints();
4044 memset(fTracklets, 0, sizeof(AliTRDseedV1 *) * AliTRDgeometry::kNlayer);
4045 memset(fParameters, 0, sizeof(Double_t) * 5);
4046 memset(fSumPolY, 0, sizeof(Double_t) * 5);
4047 memset(fSumPolZ, 0, sizeof(Double_t) * 2);
4048 for(Int_t irow = 0; irow < fCovarPolY->GetNrows(); irow++)
4049 for(Int_t icol = 0; icol < fCovarPolY->GetNcols(); icol++){
4050 (*fCovarPolY)(irow, icol) = 0.;
4051 if(irow < 2 && icol < 2)
4052 (*fCovarPolZ)(irow, icol) = 0.;
4056 //_____________________________________________________________________________
4057 void AliTRDtrackerV1::AliTRDtrackFitterRieman::SetTracklet(Int_t itr, AliTRDseedV1 *tracklet){
4059 // Add tracklet into the fitter
4061 if(itr >= AliTRDgeometry::kNlayer) return;
4062 fTracklets[itr] = tracklet;
4065 //_____________________________________________________________________________
4066 Double_t AliTRDtrackerV1::AliTRDtrackFitterRieman::Eval(){
4069 // 1. Apply linear transformation and store points in the fitter
4070 // 2. Evaluate the fit
4071 // 3. Check if the result of the fit in z-direction is reasonable
4073 // 3a. Fix the parameters 3 and 4 with the results of a simple least
4075 // 3b. Redo the fit with the fixed parameters
4076 // 4. Store fit results (parameters and errors)
4081 fXref = CalculateReferenceX();
4082 for(Int_t il = 0; il < AliTRDgeometry::kNlayer; il++) UpdateFitters(fTracklets[il]);
4083 if(!fTrackFitter->GetNpoints()) return 1e10;
4085 fTrackFitter->Eval();
4087 fParameters[3] = fTrackFitter->GetParameter(3);
4088 fParameters[4] = fTrackFitter->GetParameter(4);
4089 if(!CheckAcceptable(fParameters[3], fParameters[4])) {
4090 fTrackFitter->FixParameter(3, fZfitter->GetFunctionValue(&fXref));
4091 fTrackFitter->FixParameter(4, fZfitter->GetFunctionParameter(1));
4092 fTrackFitter->Eval();
4093 fTrackFitter->ReleaseParameter(3);
4094 fTrackFitter->ReleaseParameter(4);
4095 fParameters[3] = fTrackFitter->GetParameter(3);
4096 fParameters[4] = fTrackFitter->GetParameter(4);
4098 // Update the Fit Parameters and the errors
4099 fParameters[0] = fTrackFitter->GetParameter(0);
4100 fParameters[1] = fTrackFitter->GetParameter(1);
4101 fParameters[2] = fTrackFitter->GetParameter(2);
4103 // Prepare Covariance estimation
4104 (*fCovarPolY)(0,0) = fSumPolY[0]; (*fCovarPolY)(1,1) = fSumPolY[2]; (*fCovarPolY)(2,2) = fSumPolY[4];
4105 (*fCovarPolY)(1,0) = (*fCovarPolY)(0,1) = fSumPolY[1];
4106 (*fCovarPolY)(2,0) = (*fCovarPolY)(0,2) = fSumPolY[2];
4107 (*fCovarPolY)(2,1) = (*fCovarPolY)(1,2) = fSumPolY[3];
4108 fCovarPolY->Invert();
4109 (*fCovarPolZ)(0,0) = fSumPolZ[0]; (*fCovarPolZ)(1,1) = fSumPolZ[2];
4110 (*fCovarPolZ)(1,0) = (*fCovarPolZ)(0,1) = fSumPolZ[1];
4111 fCovarPolZ->Invert();
4112 return fTrackFitter->GetChisquare() / fTrackFitter->GetNpoints();
4115 //_____________________________________________________________________________
4116 void AliTRDtrackerV1::AliTRDtrackFitterRieman::UpdateFitters(const AliTRDseedV1 * const tracklet){
4118 // Does the transformations and updates the fitters
4119 // The following transformation is applied
4121 AliTRDcluster *cl = NULL;
4122 Double_t x, y, z, dx, t, w, we, yerr, zerr;
4124 if(!tracklet || !tracklet->IsOK()) return;
4125 Double_t tilt = tracklet->GetTilt();
4126 for(Int_t itb = 0; itb < AliTRDseedV1::kNclusters; itb++){
4127 if(!(cl = tracklet->GetClusters(itb))) continue;
4128 if(!cl->IsInChamber()) continue;
4129 if (!tracklet->IsUsable(itb)) continue;
4136 uvt[0] = 2. * x * t;
4138 uvt[2] = 2. * tilt * t;
4139 uvt[3] = 2. * tilt * dx * t;
4140 w = 2. * (y + tilt*z) * t;
4141 // error definition changes for the different calls
4143 we *= TMath::Sqrt(cl->GetSigmaY2()+tilt*tilt*cl->GetSigmaZ2());
4144 // Update sums for error calculation
4145 yerr = 1./(TMath::Sqrt(cl->GetSigmaY2()) + fSysClusterError);
4147 zerr = 1./cl->GetSigmaZ2();
4148 for(Int_t ipol = 0; ipol < 5; ipol++){
4149 fSumPolY[ipol] += yerr;
4152 fSumPolZ[ipol] += zerr;
4156 fTrackFitter->AddPoint(uvt, w, we);
4157 fZfitter->AddPoint(&x, z, static_cast<Double_t>(TMath::Sqrt(cl->GetSigmaZ2())));
4161 //_____________________________________________________________________________
4162 Bool_t AliTRDtrackerV1::AliTRDtrackFitterRieman::CheckAcceptable(Double_t offset, Double_t slope){
4164 // Check whether z-results are acceptable
4165 // Definition: Distance between tracklet fit and track fit has to be
4166 // less then half a padlength
4167 // Point of comparision is at the anode wire
4169 Bool_t acceptablez = kTRUE;
4170 Double_t zref = 0.0;
4171 for (Int_t iLayer = 0; iLayer < kNPlanes; iLayer++) {
4172 if(!fTracklets[iLayer]->IsOK()) continue;
4173 zref = offset + slope * (fTracklets[iLayer]->GetX0() - fXref);
4174 if (TMath::Abs(fTracklets[iLayer]->GetZfit(0) - zref) > fTracklets[iLayer]->GetPadLength() * 0.5 + 1.0)
4175 acceptablez = kFALSE;
4180 //_____________________________________________________________________________
4181 Double_t AliTRDtrackerV1::AliTRDtrackFitterRieman::GetYat(Double_t x) const {
4183 // Calculate y position out of the track parameters
4184 // y: R^2 = (x - x0)^2 + (y - y0)^2
4185 // => y = y0 +/- Sqrt(R^2 - (x - x0)^2)
4186 // R = Sqrt() = 1/Curvature
4187 // => y = y0 +/- Sqrt(1/Curvature^2 - (x - x0)^2)
4190 Double_t disc = (x * fParameters[0] + fParameters[1]);
4191 disc = 1 - fParameters[0]*fParameters[2] + fParameters[1]*fParameters[1] - disc*disc;
4193 disc = TMath::Sqrt(disc);
4194 y = (1.0 - disc) / fParameters[0];
4199 //_____________________________________________________________________________
4200 Double_t AliTRDtrackerV1::AliTRDtrackFitterRieman::GetZat(Double_t x) const {
4202 // Return z position for a given x position
4203 // Simple linear function
4205 return fParameters[3] + fParameters[4] * (x - fXref);
4208 //_____________________________________________________________________________
4209 Double_t AliTRDtrackerV1::AliTRDtrackFitterRieman::GetDyDxAt(Double_t x) const {
4211 // Calculate dydx at a given radial position out of the track parameters
4212 // dy: R^2 = (x - x0)^2 + (y - y0)^2
4213 // => y = +/- Sqrt(R^2 - (x - x0)^2) + y0
4214 // => dy/dx = (x - x0)/Sqrt(R^2 - (x - x0)^2)
4215 // Curvature: cr = 1/R = a/Sqrt(1 + b^2 - c*a)
4216 // => dy/dx = (x - x0)/(1/(cr^2) - (x - x0)^2)
4218 Double_t x0 = -fParameters[1] / fParameters[0];
4219 Double_t curvature = GetCurvature();
4221 if (-fParameters[2] * fParameters[0] + fParameters[1] * fParameters[1] + 1 > 0) {
4222 if (1.0/(curvature * curvature) - (x - x0) * (x - x0) > 0.0) {
4223 Double_t yderiv = (x - x0) / TMath::Sqrt(1.0/(curvature * curvature) - (x - x0) * (x - x0));
4224 if (fParameters[0] < 0) yderiv *= -1.0;
4231 //_____________________________________________________________________________
4232 Double_t AliTRDtrackerV1::AliTRDtrackFitterRieman::GetCurvature() const {
4234 // Calculate track curvature
4237 Double_t curvature = 1.0 + fParameters[1]*fParameters[1] - fParameters[2]*fParameters[0];
4238 if (curvature > 0.0)
4239 curvature = fParameters[0] / TMath::Sqrt(curvature);
4243 //_____________________________________________________________________________
4244 void AliTRDtrackerV1::AliTRDtrackFitterRieman::GetCovAt(Double_t x, Double_t *cov) const {
4246 // Error Definition according to gauss error propagation
4248 TMatrixD transform(3,3);
4249 transform(0,0) = transform(1,1) = transform(2,2) = 1;
4250 transform(0,1) = transform(1,2) = x;
4251 transform(0,2) = x*x;
4252 TMatrixD covariance(transform, TMatrixD::kMult, *fCovarPolY);
4253 covariance *= transform.T();
4254 cov[0] = covariance(0,0);
4255 TMatrixD transformZ(2,2);
4256 transformZ(0,0) = transformZ(1,1) = 1;
4257 transformZ(0,1) = x;
4258 TMatrixD covarZ(transformZ, TMatrixD::kMult, *fCovarPolZ);
4259 covarZ *= transformZ.T();
4260 cov[1] = covarZ(0,0);
4264 //____________________________________________________________________
4265 Double_t AliTRDtrackerV1::AliTRDtrackFitterRieman::CalculateReferenceX(){
4267 // Calculates the reference x-position for the tilted Rieman fit defined as middle
4268 // of the stack (middle between layers 2 and 3). For the calculation all the tracklets
4269 // are taken into account
4271 // Parameters: - Array of tracklets(AliTRDseedV1)
4273 // Output: - The reference x-position(Float_t)
4275 Int_t nDistances = 0;
4276 Float_t meanDistance = 0.;
4277 Int_t startIndex = 5;
4278 for(Int_t il =5; il > 0; il--){
4279 if(fTracklets[il]->IsOK() && fTracklets[il -1]->IsOK()){
4280 Float_t xdiff = fTracklets[il]->GetX0() - fTracklets[il -1]->GetX0();
4281 meanDistance += xdiff;
4284 if(fTracklets[il]->IsOK()) startIndex = il;
4286 if(fTracklets[0]->IsOK()) startIndex = 0;
4288 // We should normally never get here
4289 Float_t xpos[2]; memset(xpos, 0, sizeof(Float_t) * 2);
4290 Int_t iok = 0, idiff = 0;
4291 // This attempt is worse and should be avoided:
4292 // check for two chambers which are OK and repeat this without taking the mean value
4293 // Strategy avoids a division by 0;
4294 for(Int_t il = 5; il >= 0; il--){
4295 if(fTracklets[il]->IsOK()){
4296 xpos[iok] = fTracklets[il]->GetX0();
4300 if(iok) idiff++; // to get the right difference;
4304 meanDistance = (xpos[0] - xpos[1])/idiff;
4307 // we have do not even have 2 layers which are OK? The we do not need to fit at all
4312 meanDistance /= nDistances;
4314 return fTracklets[startIndex]->GetX0() + (2.5 - startIndex) * meanDistance - 0.5 * (AliTRDgeometry::AmThick() + AliTRDgeometry::DrThick());