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 const Float_t AliTRDtrackerV1::fgkMinClustersInTrack = 0.5; //
65 const Float_t AliTRDtrackerV1::fgkLabelFraction = 0.8; //
66 const Double_t AliTRDtrackerV1::fgkMaxChi2 = 12.0; //
67 const Double_t AliTRDtrackerV1::fgkMaxSnp = 0.95; // Maximum local sine of the azimuthal angle
68 const Double_t AliTRDtrackerV1::fgkMaxStep = 2.0; // Maximal step size in propagation
69 Double_t AliTRDtrackerV1::fgTopologicQA[kNConfigs] = {
70 0.5112, 0.5112, 0.5112, 0.0786, 0.0786,
71 0.0786, 0.0786, 0.0579, 0.0579, 0.0474,
72 0.0474, 0.0408, 0.0335, 0.0335, 0.0335
74 const Double_t AliTRDtrackerV1::fgkX0[kNPlanes] = {
75 300.2, 312.8, 325.4, 338.0, 350.6, 363.2};
76 Int_t AliTRDtrackerV1::fgNTimeBins = 0;
77 AliRieman* AliTRDtrackerV1::fgRieman = NULL;
78 TLinearFitter* AliTRDtrackerV1::fgTiltedRieman = NULL;
79 TLinearFitter* AliTRDtrackerV1::fgTiltedRiemanConstrained = NULL;
81 //____________________________________________________________________
82 AliTRDtrackerV1::AliTRDtrackerV1(AliTRDReconstructor *rec)
84 ,fkReconstructor(NULL)
94 // Default constructor.
97 SetReconstructor(rec); // initialize reconstructor
99 // initialize geometry
100 if(!AliGeomManager::GetGeometry()){
101 AliFatal("Could not get geometry.");
103 fGeom = new AliTRDgeometry();
104 fGeom->CreateClusterMatrixArray();
105 TGeoHMatrix *matrix = NULL;
106 Double_t loc[] = {0., 0., 0.};
107 Double_t glb[] = {0., 0., 0.};
108 for(Int_t ily=kNPlanes; ily--;){
110 while(!(matrix = fGeom->GetClusterMatrix(AliTRDgeometry::GetDetector(ily, 2, ism)))) ism++;
112 AliError(Form("Could not get transformation matrix for layer %d. Use default.", ily));
113 fR[ily] = fgkX0[ily];
116 matrix->LocalToMaster(loc, glb);
117 fR[ily] = glb[0]+ AliTRDgeometry::AnodePos()-.5*AliTRDgeometry::AmThick() - AliTRDgeometry::DrThick();
120 // initialize cluster containers
121 for (Int_t isector = 0; isector < AliTRDgeometry::kNsector; isector++) new(&fTrSec[isector]) AliTRDtrackingSector(fGeom, isector);
124 memset(fTrackQuality, 0, kMaxTracksStack*sizeof(Double_t));
125 memset(fSeedLayer, 0, kMaxTracksStack*sizeof(Int_t));
126 memset(fSeedTB, 0, kNSeedPlanes*sizeof(AliTRDchamberTimeBin*));
127 fTracksESD = new TClonesArray("AliESDtrack", 2*kMaxTracksStack);
128 fTracksESD->SetOwner();
131 //____________________________________________________________________
132 AliTRDtrackerV1::~AliTRDtrackerV1()
138 if(fgRieman) delete fgRieman; fgRieman = NULL;
139 if(fgTiltedRieman) delete fgTiltedRieman; fgTiltedRieman = NULL;
140 if(fgTiltedRiemanConstrained) delete fgTiltedRiemanConstrained; fgTiltedRiemanConstrained = NULL;
141 for(Int_t isl =0; isl<kNSeedPlanes; isl++) if(fSeedTB[isl]) delete fSeedTB[isl];
142 if(fTracksESD){ fTracksESD->Delete(); delete fTracksESD; }
143 if(fTracks) {fTracks->Delete(); delete fTracks;}
144 if(fTracklets) {fTracklets->Delete(); delete fTracklets;}
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 nSeeds = event->GetNumberOfTracks();
292 // Sort tracks according to quality
293 // (covariance in the yz plane)
295 quality = new Float_t[nSeeds];
296 index = new Int_t[nSeeds];
297 for (Int_t iSeed = nSeeds; iSeed--;) {
298 AliESDtrack *seed = event->GetTrack(iSeed);
299 Double_t covariance[15];
300 seed->GetExternalCovariance(covariance);
301 quality[iSeed] = covariance[0] + covariance[2];
303 TMath::Sort(nSeeds, quality, index,kFALSE);
306 // Propagate all seeds
309 for (Int_t iSeed = 0; iSeed < nSeeds; iSeed++) {
311 // Get the seeds in sorted sequence
312 AliESDtrack *seed = event->GetTrack(index[iSeed]);
313 Float_t p4 = seed->GetC(seed->GetBz());
315 // Check the seed status
316 ULong_t status = seed->GetStatus();
317 if ((status & AliESDtrack::kTPCout) == 0) continue;
318 if ((status & AliESDtrack::kTRDout) != 0) continue;
320 // Propagate to the entrance in the TRD mother volume
321 new(&track) AliTRDtrackV1(*seed);
322 if(AliTRDgeometry::GetXtrdBeg() > (fgkMaxStep + track.GetX()) && !PropagateToX(track, AliTRDgeometry::GetXtrdBeg(), fgkMaxStep)){
323 seed->UpdateTrackParams(&track, AliESDtrack::kTRDStop);
326 if(!AdjustSector(&track)){
327 seed->UpdateTrackParams(&track, AliESDtrack::kTRDStop);
330 if(TMath::Abs(track.GetSnp()) > fgkMaxSnp) {
331 seed->UpdateTrackParams(&track, AliESDtrack::kTRDStop);
337 // store track status at TRD entrance
338 seed->UpdateTrackParams(&track, AliESDtrack::kTRDbackup);
340 // prepare track and do propagation in the TRD
341 track.SetReconstructor(fkReconstructor);
342 track.SetKink(Bool_t(seed->GetKinkIndex(0)));
343 expectedClr = FollowBackProlongation(track);
344 // check if track entered the TRD fiducial volume
345 if(track.GetTrackIn()){
346 seed->UpdateTrackParams(&track, AliESDtrack::kTRDin);
349 // check if track was stopped in the TRD
351 seed->UpdateTrackParams(&track, AliESDtrack::kTRDStop);
357 // computes PID for track
359 // update calibration references using this track
360 if(calibra->GetHisto2d()) calibra->UpdateHistogramsV1(&track);
361 // save calibration object
362 if (fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 0 &&
363 fkRecoParam->IsOverPtThreshold(track.Pt())){
364 AliTRDtrackV1 *calibTrack = new AliTRDtrackV1(track);
365 calibTrack->SetOwner();
366 seed->AddCalibObject(calibTrack);
369 seed->UpdateTrackParams(&track, AliESDtrack::kTRDout);
370 track.UpdateESDtrack(seed);
373 if ((TMath::Abs(track.GetC(track.GetBz()) - p4) / TMath::Abs(p4) < 0.2) ||(track.Pt() > 0.8)) {
375 // Make backup for back propagation
376 Int_t foundClr = track.GetNumberOfClusters();
377 if (foundClr >= foundMin) {
378 track.CookLabel(1. - fgkLabelFraction);
379 //if(track.GetBackupTrack()) UseClusters(track.GetBackupTrack());
381 // Sign only gold tracks
382 if (track.GetChi2() / track.GetNumberOfClusters() < 4) {
383 //if ((seed->GetKinkIndex(0) == 0) && (track.Pt() < 1.5)) UseClusters(&track);
385 Bool_t isGold = kFALSE;
388 if (track.GetChi2() / track.GetNumberOfClusters() < 5) {
389 if (track.GetBackupTrack()) seed->UpdateTrackParams(track.GetBackupTrack(),AliESDtrack::kTRDbackup);
395 if ((!isGold) && (track.GetNCross() == 0) && (track.GetChi2() / track.GetNumberOfClusters() < 7)) {
396 //seed->UpdateTrackParams(track, AliESDtrack::kTRDbackup);
397 if (track.GetBackupTrack()) seed->UpdateTrackParams(track.GetBackupTrack(),AliESDtrack::kTRDbackup);
402 if ((!isGold) && (track.GetBackupTrack())) {
403 if ((track.GetBackupTrack()->GetNumberOfClusters() > foundMin) && ((track.GetBackupTrack()->GetChi2()/(track.GetBackupTrack()->GetNumberOfClusters()+1)) < 7)) {
404 seed->UpdateTrackParams(track.GetBackupTrack(),AliESDtrack::kTRDbackup);
412 // Propagation to the TOF
413 if(!(seed->GetStatus()&AliESDtrack::kTRDStop)) {
414 Int_t sm = track.GetSector();
415 // default value in case we have problems with the geometry.
416 Double_t xtof = 371.;
417 //Calculate radial position of the beginning of the TOF
418 //mother volume. In order to avoid mixing of the TRD
419 //and TOF modules some hard values are needed. This are:
420 //1. The path to the TOF module.
421 //2. The width of the TOF (29.05 cm)
422 //(with the help of Annalisa de Caro Mar-17-2009)
424 gGeoManager->cd(Form("/ALIC_1/B077_1/BSEGMO%d_1/BTOF%d_1", sm, sm));
425 TGeoHMatrix *m = NULL;
426 Double_t loc[]={0., 0., -.5*29.05}, glob[3];
428 if((m=gGeoManager->GetCurrentMatrix())){
429 m->LocalToMaster(loc, glob);
430 xtof = TMath::Sqrt(glob[0]*glob[0]+glob[1]*glob[1]);
433 if(xtof > (fgkMaxStep + track.GetX()) && !PropagateToX(track, xtof, fgkMaxStep)){
434 seed->UpdateTrackParams(&track, AliESDtrack::kTRDStop);
437 if(!AdjustSector(&track)){
438 seed->UpdateTrackParams(&track, AliESDtrack::kTRDStop);
441 if(TMath::Abs(track.GetSnp()) > fgkMaxSnp){
442 seed->UpdateTrackParams(&track, AliESDtrack::kTRDStop);
445 //seed->UpdateTrackParams(&track, AliESDtrack::kTRDout);
446 // TODO obsolete - delete
447 seed->SetTRDQuality(track.StatusForTOF());
449 seed->SetTRDBudget(track.GetBudget(0));
451 if(index) delete [] index;
452 if(quality) delete [] quality;
454 AliInfo(Form("Number of seeds: TPCout[%d] TRDin[%d]", nTPCseeds, nTRDseeds));
455 AliInfo(Form("Number of tracks: TRDout[%d] TRDbackup[%d]", nFound, nBacked));
457 // run stand alone tracking
458 if (fkReconstructor->IsSeeding()) Clusters2Tracks(event);
464 //____________________________________________________________________
465 Int_t AliTRDtrackerV1::RefitInward(AliESDEvent *event)
468 // Refits tracks within the TRD. The ESD event is expected to contain seeds
469 // at the outer part of the TRD.
470 // The tracks are propagated to the innermost time bin
471 // of the TRD and the ESD event is updated
472 // Origin: Thomas KUHR (Thomas.Kuhr@cern.ch)
475 Int_t nseed = 0; // contor for loaded seeds
476 Int_t found = 0; // contor for updated TRD tracks
479 if(!fClusters || !fClusters->GetEntriesFast()){
480 AliInfo("No TRD clusters");
484 for (Int_t itrack = 0; itrack < event->GetNumberOfTracks(); itrack++) {
485 AliESDtrack *seed = event->GetTrack(itrack);
486 ULong_t status = seed->GetStatus();
488 new(&track) AliTRDtrackV1(*seed);
489 if (track.GetX() < 270.0) {
490 seed->UpdateTrackParams(&track, AliESDtrack::kTRDbackup);
494 // reject tracks which failed propagation in the TRD or
495 // are produced by the TRD stand alone tracker
496 if(!(status & AliESDtrack::kTRDout)) continue;
497 if(!(status & AliESDtrack::kTRDin)) continue;
500 track.ResetCovariance(50.0);
502 // do the propagation and processing
503 Bool_t kUPDATE = kFALSE;
504 Double_t xTPC = 250.0;
505 if(FollowProlongation(track)){
506 // Update the friend track
507 if (fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 0 && fkRecoParam->IsOverPtThreshold(track.Pt())){
508 TObject *o = NULL; Int_t ic = 0;
509 AliTRDtrackV1 *calibTrack = NULL;
510 while((o = seed->GetCalibObject(ic++))){
511 if(!(calibTrack = dynamic_cast<AliTRDtrackV1*>(o))) continue;
512 calibTrack->SetTrackOut(&track);
517 if (PropagateToX(track, xTPC, fgkMaxStep)) { // -with update
518 seed->UpdateTrackParams(&track, AliESDtrack::kTRDrefit);
524 // Prolongate to TPC without update
526 AliTRDtrackV1 tt(*seed);
527 if (PropagateToX(tt, xTPC, fgkMaxStep)) seed->UpdateTrackParams(&tt, AliESDtrack::kTRDbackup);
530 AliInfo(Form("Number of seeds: TRDout[%d]", nseed));
531 AliInfo(Form("Number of tracks: TRDrefit[%d]", found));
536 //____________________________________________________________________
537 Int_t AliTRDtrackerV1::FollowProlongation(AliTRDtrackV1 &t)
539 // Extrapolates the TRD track in the TPC direction.
542 // t : the TRD track which has to be extrapolated
545 // number of clusters attached to the track
547 // Detailed description
549 // Starting from current radial position of track <t> this function
550 // extrapolates the track through the 6 TRD layers. The following steps
551 // are being performed for each plane:
553 // a. get plane limits in the local x direction
554 // b. check crossing sectors
555 // c. check track inclination
556 // 2. search tracklet in the tracker list (see GetTracklet() for details)
557 // 3. evaluate material budget using the geo manager
558 // 4. propagate and update track using the tracklet information.
563 Int_t nClustersExpected = 0;
564 for (Int_t iplane = kNPlanes; iplane--;) {
566 AliTRDseedV1 *tracklet = GetTracklet(&t, iplane, index);
567 AliDebug(2, Form("Tracklet[%p] ly[%d] idx[%d]", (void*)tracklet, iplane, index));
568 if(!tracklet) continue;
569 if(!tracklet->IsOK()){
570 AliDebug(1, Form("Tracklet Det[%d] !OK", tracklet->GetDetector()));
573 Double_t x = tracklet->GetX();//GetX0();
574 // reject tracklets which are not considered for inward refit
575 if(x > t.GetX()+fgkMaxStep) continue;
577 // append tracklet to track
578 t.SetTracklet(tracklet, index);
580 if (x < (t.GetX()-fgkMaxStep) && !PropagateToX(t, x+fgkMaxStep, fgkMaxStep)) break;
581 if (!AdjustSector(&t)) break;
583 // Start global position
587 // End global position
588 Double_t alpha = t.GetAlpha(), y, z;
589 if (!t.GetProlongation(x,y,z)) break;
591 xyz1[0] = x * TMath::Cos(alpha) - y * TMath::Sin(alpha);
592 xyz1[1] = x * TMath::Sin(alpha) + y * TMath::Cos(alpha);
595 Double_t length = TMath::Sqrt(
596 (xyz0[0]-xyz1[0])*(xyz0[0]-xyz1[0]) +
597 (xyz0[1]-xyz1[1])*(xyz0[1]-xyz1[1]) +
598 (xyz0[2]-xyz1[2])*(xyz0[2]-xyz1[2])
601 // Get material budget
603 if(AliTracker::MeanMaterialBudget(xyz0, xyz1, param)<=0.) break;
604 Double_t xrho= param[0]*param[4];
605 Double_t xx0 = param[1]; // Get mean propagation parameters
607 // Propagate and update
608 t.PropagateTo(x, xx0, xrho);
609 if (!AdjustSector(&t)) break;
612 Double_t cov[3]; tracklet->GetCovAt(x, cov);
613 Double_t p[2] = { tracklet->GetY(), tracklet->GetZ()};
614 Double_t chi2 = ((AliExternalTrackParam)t).GetPredictedChi2(p, cov);
615 if (chi2 < 1e+10 && t.Update(p, cov, chi2)){
616 nClustersExpected += tracklet->GetN();
620 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 1){
622 for(int iplane=0; iplane<AliTRDgeometry::kNlayer; iplane++){
623 AliTRDseedV1 *tracklet = GetTracklet(&t, iplane, index);
624 if(!tracklet) continue;
625 t.SetTracklet(tracklet, index);
628 if(fkReconstructor->IsDebugStreaming()){
629 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
630 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
631 AliTRDtrackV1 track(t);
633 cstreamer << "FollowProlongation"
634 << "EventNumber=" << eventNumber
635 << "ncl=" << nClustersExpected
636 << "track.=" << &track
640 return nClustersExpected;
644 //_____________________________________________________________________________
645 Int_t AliTRDtrackerV1::FollowBackProlongation(AliTRDtrackV1 &t)
647 // Extrapolates/Build the TRD track in the TOF direction.
650 // t : the TRD track which has to be extrapolated
653 // number of clusters attached to the track
655 // Starting from current radial position of track <t> this function
656 // extrapolates the track through the 6 TRD layers. The following steps
657 // are being performed for each plane:
658 // 1. Propagate track to the entrance of the next chamber:
659 // - get chamber limits in the radial direction
660 // - check crossing sectors
661 // - check track inclination
662 // - check track prolongation against boundary conditions (see exclusion boundaries on AliTRDgeometry::IsOnBoundary())
663 // 2. Build tracklet (see AliTRDseed::AttachClusters() for details) for this layer if needed. If only
664 // Kalman filter is needed and tracklets are already linked to the track this step is skipped.
665 // 3. Fit tracklet using the information from the Kalman filter.
666 // 4. Propagate and update track at reference radial position of the tracklet.
667 // 5. Register tracklet with the tracker and track; update pulls monitoring.
670 // 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:
671 // - AliTRDtrackV1::kProlongation : track prolongation failed
672 // - AliTRDtrackV1::kPropagation : track prolongation failed
673 // - AliTRDtrackV1::kAdjustSector : failed during sector crossing
674 // - AliTRDtrackV1::kSnp : too large bending
675 // - AliTRDtrackV1::kTrackletInit : fail to initialize tracklet
676 // - AliTRDtrackV1::kUpdate : fail to attach clusters or fit the tracklet
677 // - AliTRDtrackV1::kUnknown : anything which is not covered before
678 // 2. By default the status of the track before first TRD update is saved.
683 // Alexandru Bercuci <A.Bercuci@gsi.de>
687 Double_t driftLength = .5*AliTRDgeometry::AmThick() + AliTRDgeometry::DrThick();
688 AliTRDtrackingChamber *chamber = NULL;
690 Int_t debugLevel = fkReconstructor->IsDebugStreaming() ? fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) : 0;
691 TTreeSRedirector *cstreamer = fkReconstructor->IsDebugStreaming() ? fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker) : 0x0;
693 Bool_t kStoreIn(kTRUE), //
694 kPropagateIn(kTRUE), //
695 kStandAlone(kFALSE), // toggle tracker awarness of stand alone seeding
696 kUseTRD(fkRecoParam->IsOverPtThreshold(t.Pt()));// use TRD measurment to update Kalman
699 AliTRDseedV1 tracklet, *ptrTracklet = NULL;
700 // Special case for stand alone tracking
701 // - store all tracklets found by seeding
702 // - start propagation from first tracklet found
703 AliTRDseedV1 *tracklets[kNPlanes];
704 memset(tracklets, 0, sizeof(AliTRDseedV1 *) * kNPlanes);
705 for(Int_t ip(kNPlanes); ip--;){
706 if(!(tracklets[ip] = t.GetTracklet(ip))) continue;
708 if(tracklets[ip]->IsOK()) startLayer=ip;
711 AliDebug(4, Form("SA[%c] Start[%d]\n"
712 " [0]idx[%d] traklet[%p]\n"
713 " [1]idx[%d] traklet[%p]\n"
714 " [2]idx[%d] traklet[%p]\n"
715 " [3]idx[%d] traklet[%p]\n"
716 " [4]idx[%d] traklet[%p]\n"
717 " [5]idx[%d] traklet[%p]"
718 , kStandAlone?'y':'n', startLayer
719 , t.GetTrackletIndex(0), (void*)tracklets[0]
720 , t.GetTrackletIndex(1), (void*)tracklets[1]
721 , t.GetTrackletIndex(2), (void*)tracklets[2]
722 , t.GetTrackletIndex(3), (void*)tracklets[3]
723 , t.GetTrackletIndex(4), (void*)tracklets[4]
724 , t.GetTrackletIndex(5), (void*)tracklets[5]));
726 // Loop through the TRD layers
727 TGeoHMatrix *matrix = NULL;
729 for (Int_t ily=startLayer, sm=-1, stk=-1, det=-1; ily < AliTRDgeometry::kNlayer; ily++) {
730 AliDebug(2, Form("Propagate to x[%d] = %7.2f", ily, fR[ily]));
732 // rough estimate of the entry point
733 if (!t.GetProlongation(fR[ily], y, z)){
735 t.SetStatus(AliTRDtrackV1::kProlongation);
736 AliDebug(4, Form("Failed Rough Prolongation to ly[%d] x[%7.2f] y[%7.2f] z[%7.2f]", ily, fR[ily], y, z));
740 // find sector / stack / detector
742 // TODO cross check with y value !
743 stk = fGeom->GetStack(z, ily);
744 det = stk>=0 ? AliTRDgeometry::GetDetector(ily, stk, sm) : -1;
745 matrix = det>=0 ? fGeom->GetClusterMatrix(det) : NULL;
746 AliDebug(3, Form("Propagate to det[%3d]", det));
748 // check if supermodule/chamber is installed
749 if( !fGeom->GetSMstatus(sm) ||
751 fGeom->IsHole(ily, stk, sm) ||
753 AliDebug(4, Form("Missing Geometry ly[%d]. Guess radial position", ily));
754 // propagate to the default radial position
755 if(fR[ily] > (fgkMaxStep + t.GetX()) && !PropagateToX(t, fR[ily], fgkMaxStep)){
757 t.SetStatus(AliTRDtrackV1::kPropagation);
758 AliDebug(4, "Failed Propagation [Missing Geometry]");
761 if(!AdjustSector(&t)){
763 t.SetStatus(AliTRDtrackV1::kAdjustSector);
764 AliDebug(4, "Failed Adjust Sector [Missing Geometry]");
767 if(TMath::Abs(t.GetSnp()) > fgkMaxSnp){
769 t.SetStatus(AliTRDtrackV1::kSnp);
770 AliDebug(4, "Failed Max Snp [Missing Geometry]");
773 t.SetStatus(AliTRDtrackV1::kGeometry, ily);
777 // retrieve rotation matrix for the current chamber
778 Double_t loc[] = {AliTRDgeometry::AnodePos()- driftLength, 0., 0.};
779 Double_t glb[] = {0., 0., 0.};
780 matrix->LocalToMaster(loc, glb);
782 // Propagate to the radial distance of the current layer
783 x = glb[0] - fgkMaxStep;
784 if(x > (fgkMaxStep + t.GetX()) && !PropagateToX(t, x, fgkMaxStep)){
786 t.SetStatus(AliTRDtrackV1::kPropagation);
787 AliDebug(4, Form("Failed Initial Propagation to x[%7.2f]", x));
790 if(!AdjustSector(&t)){
792 t.SetStatus(AliTRDtrackV1::kAdjustSector);
793 AliDebug(4, "Failed Adjust Sector Start");
796 if(TMath::Abs(t.GetSnp()) > fgkMaxSnp) {
798 t.SetStatus(AliTRDtrackV1::kSnp);
799 AliDebug(4, Form("Failed Max Snp[%f] MaxSnp[%f]", t.GetSnp(), fgkMaxSnp));
802 Bool_t doRecalculate = kFALSE;
803 if(sm != t.GetSector()){
805 doRecalculate = kTRUE;
807 if(stk != fGeom->GetStack(z, ily)){
808 stk = fGeom->GetStack(z, ily);
809 doRecalculate = kTRUE;
812 det = AliTRDgeometry::GetDetector(ily, stk, sm);
813 if(!(matrix = fGeom->GetClusterMatrix(det))){
814 t.SetStatus(AliTRDtrackV1::kGeometry, ily);
815 AliDebug(4, Form("Failed Geometry Matrix ly[%d]", ily));
818 matrix->LocalToMaster(loc, glb);
819 x = glb[0] - fgkMaxStep;
822 // check if track is well inside fiducial volume
823 if (!t.GetProlongation(x+fgkMaxStep, y, z)) {
825 t.SetStatus(AliTRDtrackV1::kProlongation);
826 AliDebug(4, Form("Failed Prolongation to x[%7.2f] y[%7.2f] z[%7.2f]", x+fgkMaxStep, y, z));
829 if(fGeom->IsOnBoundary(det, y, z, .5)){
830 t.SetStatus(AliTRDtrackV1::kBoundary, ily);
831 AliDebug(4, "Failed Track on Boundary");
834 // mark track as entering the FIDUCIAL volume of TRD
840 ptrTracklet = tracklets[ily];
841 if(!ptrTracklet){ // BUILD TRACKLET
842 AliDebug(3, Form("Building tracklet det[%d]", det));
843 // check data in supermodule
844 if(!fTrSec[sm].GetNChambers()){
845 t.SetStatus(AliTRDtrackV1::kNoClusters, ily);
846 AliDebug(4, "Failed NoClusters");
849 if(fTrSec[sm].GetX(ily) < 1.){
850 t.SetStatus(AliTRDtrackV1::kNoClusters, ily);
851 AliDebug(4, "Failed NoX");
855 // check data in chamber
856 if(!(chamber = fTrSec[sm].GetChamber(stk, ily))){
857 t.SetStatus(AliTRDtrackV1::kNoClusters, ily);
858 AliDebug(4, "Failed No Detector");
861 if(chamber->GetNClusters() < fgNTimeBins*fkRecoParam ->GetFindableClusters()){
862 t.SetStatus(AliTRDtrackV1::kNoClusters, ily);
863 AliDebug(4, "Failed Not Enough Clusters in Detector");
867 ptrTracklet = new(&tracklet) AliTRDseedV1(det);
868 ptrTracklet->SetReconstructor(fkReconstructor);
869 ptrTracklet->SetKink(t.IsKink());
870 ptrTracklet->SetPadPlane(fGeom->GetPadPlane(ily, stk));
871 ptrTracklet->SetX0(glb[0]+driftLength);
872 if(!tracklet.Init(&t)){
874 t.SetStatus(AliTRDtrackV1::kTrackletInit);
875 AliDebug(4, "Failed Tracklet Init");
878 if(!tracklet.AttachClusters(chamber, kTRUE)){
879 t.SetStatus(AliTRDtrackV1::kNoAttach, ily);
881 AliTRDseedV1 trackletCp(*ptrTracklet);
882 UChar_t status(t.GetStatusTRD(ily));
883 (*cstreamer) << "FollowBackProlongation2"
884 <<"status=" << status
885 <<"tracklet.=" << &trackletCp
888 AliDebug(4, "Failed Attach Clusters");
891 AliDebug(3, Form("Number of Clusters in Tracklet: %d", tracklet.GetN()));
892 if(tracklet.GetN() < fgNTimeBins*fkRecoParam ->GetFindableClusters()){
893 t.SetStatus(AliTRDtrackV1::kNoClustersTracklet, ily);
895 AliTRDseedV1 trackletCp(*ptrTracklet);
896 UChar_t status(t.GetStatusTRD(ily));
897 (*cstreamer) << "FollowBackProlongation2"
898 <<"status=" << status
899 <<"tracklet.=" << &trackletCp
902 AliDebug(4, "Failed N Clusters Attached");
905 ptrTracklet->UpdateUsed();
906 } else AliDebug(2, Form("Use external tracklet ly[%d]", ily));
907 // propagate track to the radial position of the tracklet
909 // fit tracklet no tilt correction
910 if(!ptrTracklet->Fit(kFALSE)){
911 t.SetStatus(AliTRDtrackV1::kNoFit, ily);
912 AliDebug(4, "Failed Tracklet Fit");
915 x = ptrTracklet->GetX(); //GetX0();
916 if(x > (fgkMaxStep + t.GetX()) && !PropagateToX(t, x, fgkMaxStep)) {
918 t.SetStatus(AliTRDtrackV1::kPropagation);
919 AliDebug(4, Form("Failed Propagation to Tracklet x[%7.2f]", x));
922 if(!AdjustSector(&t)) {
924 t.SetStatus(AliTRDtrackV1::kAdjustSector);
925 AliDebug(4, "Failed Adjust Sector");
928 if(TMath::Abs(t.GetSnp()) > fgkMaxSnp) {
930 t.SetStatus(AliTRDtrackV1::kSnp);
931 AliDebug(4, Form("Failed Max Snp[%f] MaxSnp[%f]", t.GetSnp(), fgkMaxSnp));
936 kPropagateIn = kFALSE;
938 Double_t cov[3]; ptrTracklet->GetCovAt(x, cov);
939 Double_t p[2] = { ptrTracklet->GetY(), ptrTracklet->GetZ()};
940 Double_t chi2 = ((AliExternalTrackParam)t).GetPredictedChi2(p, cov);
941 // update Kalman with the TRD measurement
942 if(chi2>1e+10){ // TODO
943 t.SetStatus(AliTRDtrackV1::kChi2, ily);
945 UChar_t status(t.GetStatusTRD());
946 AliTRDseedV1 trackletCp(*ptrTracklet);
947 AliTRDtrackV1 trackCp(t);
949 (*cstreamer) << "FollowBackProlongation1"
950 << "status=" << status
951 << "tracklet.=" << &trackletCp
952 << "track.=" << &trackCp
955 AliDebug(4, Form("Failed Chi2[%f]", chi2));
958 if(!t.Update(p, cov, chi2, kUseTRD)) {
960 t.SetStatus(AliTRDtrackV1::kUpdate);
962 UChar_t status(t.GetStatusTRD());
963 AliTRDseedV1 trackletCp(*ptrTracklet);
964 AliTRDtrackV1 trackCp(t);
966 (*cstreamer) << "FollowBackProlongation1"
967 << "status=" << status
968 << "tracklet.=" << &trackletCp
969 << "track.=" << &trackCp
972 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]));
975 if(!kStandAlone) ptrTracklet->UseClusters();
977 AliTracker::FillResiduals(&t, p, cov, ptrTracklet->GetVolumeId());
980 // load tracklet to the tracker
981 ptrTracklet->Update(&t);
982 ptrTracklet = SetTracklet(ptrTracklet);
983 Int_t index(fTracklets->GetEntriesFast()-1);
984 t.SetTracklet(ptrTracklet, index);
985 n += ptrTracklet->GetN();
986 AliDebug(2, Form("Setting Tracklet[%d] @ Idx[%d]", ily, index));
988 // Reset material budget if 2 consecutive gold
989 // if(ilayer>0 && t.GetTracklet(ilayer-1) && ptrTracklet->GetN() + t.GetTracklet(ilayer-1)->GetN() > 20) t.SetBudget(2, 0.);
991 // Make backup of the track until is gold
993 if(!kStandAlone && (failed = t.MakeBackupTrack())) AliDebug(2, Form("Failed backup on cut[%d]", failed));
996 //printf("clusters[%d] chi2[%f] x[%f] status[%d ", n, t.GetChi2(), t.GetX(), t.GetStatusTRD());
997 //for(int i=0; i<6; i++) printf("%d ", t.GetStatusTRD(i)); printf("]\n");
1000 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
1001 AliTRDtrackV1 track(t);
1003 (*cstreamer) << "FollowBackProlongation0"
1004 << "EventNumber=" << eventNumber
1006 << "track.=" << &track
1013 //_________________________________________________________________________
1014 Float_t AliTRDtrackerV1::FitRieman(AliTRDseedV1 *tracklets, Double_t *chi2, Int_t *const planes){
1016 // Fits a Riemann-circle to the given points without tilting pad correction.
1017 // The fit is performed using an instance of the class AliRieman (equations
1018 // and transformations see documentation of this class)
1019 // Afterwards all the tracklets are Updated
1021 // Parameters: - Array of tracklets (AliTRDseedV1)
1022 // - Storage for the chi2 values (beginning with direction z)
1023 // - Seeding configuration
1024 // Output: - The curvature
1026 AliRieman *fitter = AliTRDtrackerV1::GetRiemanFitter();
1028 Int_t allplanes[] = {0, 1, 2, 3, 4, 5};
1029 Int_t *ppl = &allplanes[0];
1030 Int_t maxLayers = 6;
1035 for(Int_t il = 0; il < maxLayers; il++){
1036 if(!tracklets[ppl[il]].IsOK()) continue;
1037 fitter->AddPoint(tracklets[ppl[il]].GetX0(), tracklets[ppl[il]].GetYfit(0), tracklets[ppl[il]].GetZfit(0),1,10);
1040 // Set the reference position of the fit and calculate the chi2 values
1041 memset(chi2, 0, sizeof(Double_t) * 2);
1042 for(Int_t il = 0; il < maxLayers; il++){
1043 // Reference positions
1044 tracklets[ppl[il]].Init(fitter);
1047 if((!tracklets[ppl[il]].IsOK()) && (!planes)) continue;
1048 chi2[0] += tracklets[ppl[il]].GetChi2Y();
1049 chi2[1] += tracklets[ppl[il]].GetChi2Z();
1051 return fitter->GetC();
1054 //_________________________________________________________________________
1055 void AliTRDtrackerV1::FitRieman(AliTRDcluster **seedcl, Double_t chi2[2])
1058 // Performs a Riemann helix fit using the seedclusters as spacepoints
1059 // Afterwards the chi2 values are calculated and the seeds are updated
1061 // Parameters: - The four seedclusters
1062 // - The tracklet array (AliTRDseedV1)
1063 // - The seeding configuration
1068 AliRieman *fitter = AliTRDtrackerV1::GetRiemanFitter();
1070 for(Int_t i = 0; i < 4; i++){
1071 fitter->AddPoint(seedcl[i]->GetX(), seedcl[i]->GetY(), seedcl[i]->GetZ(), 1., 10.);
1076 // Update the seed and calculated the chi2 value
1077 chi2[0] = 0; chi2[1] = 0;
1078 for(Int_t ipl = 0; ipl < kNSeedPlanes; ipl++){
1080 chi2[0] += (seedcl[ipl]->GetZ() - fitter->GetZat(seedcl[ipl]->GetX())) * (seedcl[ipl]->GetZ() - fitter->GetZat(seedcl[ipl]->GetX()));
1081 chi2[1] += (seedcl[ipl]->GetY() - fitter->GetYat(seedcl[ipl]->GetX())) * (seedcl[ipl]->GetY() - fitter->GetYat(seedcl[ipl]->GetX()));
1086 //_________________________________________________________________________
1087 Float_t AliTRDtrackerV1::FitTiltedRiemanConstraint(AliTRDseedV1 *tracklets, Double_t zVertex)
1090 // Fits a helix to the clusters. Pad tilting is considered. As constraint it is
1091 // assumed that the vertex position is set to 0.
1092 // This method is very usefull for high-pt particles
1093 // Basis for the fit: (x - x0)^2 + (y - y0)^2 - R^2 = 0
1094 // x0, y0: Center of the circle
1095 // Measured y-position: ymeas = y - tan(phiT)(zc - zt)
1096 // zc: center of the pad row
1097 // Equation which has to be fitted (after transformation):
1098 // a + b * u + e * v + 2*(ymeas + tan(phiT)(z - zVertex))*t = 0
1100 // t = 1/(x^2 + y^2)
1102 // v = 2 * x * tan(phiT) * t
1103 // Parameters in the equation:
1104 // a = -1/y0, b = x0/y0, e = dz/dx
1106 // The Curvature is calculated by the following equation:
1107 // - curv = a/Sqrt(b^2 + 1) = 1/R
1108 // Parameters: - the 6 tracklets
1109 // - the Vertex constraint
1110 // Output: - the Chi2 value of the track
1115 TLinearFitter *fitter = GetTiltedRiemanFitterConstraint();
1116 fitter->StoreData(kTRUE);
1117 fitter->ClearPoints();
1118 AliTRDcluster *cl = NULL;
1120 Float_t x, y, z, w, t, error, tilt;
1123 for(Int_t ilr = 0; ilr < AliTRDgeometry::kNlayer; ilr++){
1124 if(!tracklets[ilr].IsOK()) continue;
1125 for(Int_t itb = 0; itb < AliTRDseedV1::kNclusters; itb++){
1126 if(!tracklets[ilr].IsUsable(itb)) continue;
1127 cl = tracklets[ilr].GetClusters(itb);
1128 if(!cl->IsInChamber()) continue;
1132 tilt = tracklets[ilr].GetTilt();
1134 t = 1./(x * x + y * y);
1135 uvt[0] = 2. * x * t;
1136 uvt[1] = 2. * x * t * tilt ;
1137 w = 2. * (y + tilt * (z - zVertex)) * t;
1138 error = 2. * TMath::Sqrt(cl->GetSigmaY2()+tilt*tilt*cl->GetSigmaZ2()) * t;
1139 fitter->AddPoint(uvt, w, error);
1145 // Calculate curvature
1146 Double_t a = fitter->GetParameter(0);
1147 Double_t b = fitter->GetParameter(1);
1148 Double_t curvature = a/TMath::Sqrt(b*b + 1);
1150 Float_t chi2track = fitter->GetChisquare()/Double_t(nPoints);
1151 for(Int_t ip = 0; ip < AliTRDtrackerV1::kNPlanes; ip++)
1152 tracklets[ip].SetC(curvature, 1);
1154 if(AliLog::GetDebugLevel("TRD", "AliTRDtrackerV1")>3) printf("D-AliTRDtrackerV1::FitTiltedRiemanConstraint: Chi2[%f] C[%5.2e] pt[%8.3f]\n", chi2track, curvature, GetBz()*kB2C/curvature);
1156 /* if(fkReconstructor->GetRecoParam()->GetStreamLevel(AliTRDrecoParam::kTracker()) >= 5){
1157 //Linear Model on z-direction
1158 Double_t xref = CalculateReferenceX(tracklets); // Relative to the middle of the stack
1159 Double_t slope = fitter->GetParameter(2);
1160 Double_t zref = slope * xref;
1161 Float_t chi2Z = CalculateChi2Z(tracklets, zref, slope, xref);
1162 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
1163 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
1164 TTreeSRedirector &treeStreamer = *fkReconstructor->GetDebugStream(AliTRDReconstructor::kTracker);
1165 treeStreamer << "FitTiltedRiemanConstraint"
1166 << "EventNumber=" << eventNumber
1167 << "CandidateNumber=" << candidateNumber
1168 << "Curvature=" << curvature
1169 << "Chi2Track=" << chi2track
1170 << "Chi2Z=" << chi2Z
1177 //_________________________________________________________________________
1178 Float_t AliTRDtrackerV1::FitTiltedRieman(AliTRDseedV1 *tracklets, Bool_t sigError)
1181 // Performs a Riemann fit taking tilting pad correction into account
1182 // The equation of a Riemann circle, where the y position is substituted by the
1183 // measured y-position taking pad tilting into account, has to be transformed
1184 // into a 4-dimensional hyperplane equation
1185 // Riemann circle: (x-x0)^2 + (y-y0)^2 -R^2 = 0
1186 // Measured y-Position: ymeas = y - tan(phiT)(zc - zt)
1187 // zc: center of the pad row
1188 // zt: z-position of the track
1189 // The z-position of the track is assumed to be linear dependent on the x-position
1190 // Transformed equation: a + b * u + c * t + d * v + e * w - 2 * (ymeas + tan(phiT) * zc) * t = 0
1191 // Transformation: u = 2 * x * t
1192 // v = 2 * tan(phiT) * t
1193 // w = 2 * tan(phiT) * (x - xref) * t
1194 // t = 1 / (x^2 + ymeas^2)
1195 // Parameters: a = -1/y0
1197 // c = (R^2 -x0^2 - y0^2)/y0
1200 // If the offset respectively the slope in z-position is impossible, the parameters are fixed using
1201 // results from the simple riemann fit. Afterwards the fit is redone.
1202 // The curvature is calculated according to the formula:
1203 // curv = a/(1 + b^2 + c*a) = 1/R
1205 // Paramters: - Array of tracklets (connected to the track candidate)
1206 // - Flag selecting the error definition
1207 // Output: - Chi2 values of the track (in Parameter list)
1209 TLinearFitter *fitter = GetTiltedRiemanFitter();
1210 fitter->StoreData(kTRUE);
1211 fitter->ClearPoints();
1212 AliTRDLeastSquare zfitter;
1213 AliTRDcluster *cl = NULL;
1215 Double_t xref = CalculateReferenceX(tracklets);
1216 Double_t x, y, z, t, tilt, dx, w, we, erry, errz;
1217 Double_t uvt[4], sumPolY[5], sumPolZ[3];
1218 memset(sumPolY, 0, sizeof(Double_t) * 5);
1219 memset(sumPolZ, 0, sizeof(Double_t) * 3);
1221 // Containers for Least-square fitter
1222 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
1223 if(!tracklets[ipl].IsOK()) continue;
1224 tilt = tracklets[ipl].GetTilt();
1225 for(Int_t itb = 0; itb < AliTRDseedV1::kNclusters; itb++){
1226 if(!(cl = tracklets[ipl].GetClusters(itb))) continue;
1227 if(!cl->IsInChamber()) continue;
1228 //if (!tracklets[ipl].IsUsable(itb)) continue;
1235 uvt[0] = 2. * x * t;
1237 uvt[2] = 2. * tilt * t;
1238 uvt[3] = 2. * tilt * dx * t;
1239 w = 2. * (y + tilt*z) * t;
1240 // error definition changes for the different calls
1242 we *= sigError ? TMath::Sqrt(cl->GetSigmaY2()+tilt*tilt*cl->GetSigmaZ2()) : 0.2;
1243 fitter->AddPoint(uvt, w, we);
1244 zfitter.AddPoint(&x, z, static_cast<Double_t>(TMath::Sqrt(cl->GetSigmaZ2())));
1245 // adding points for covariance matrix estimation
1246 erry = 1./(TMath::Sqrt(cl->GetSigmaY2()) + 0.1); // 0.1 is a systematic error (due to misalignment and miscalibration)
1248 errz = 1./cl->GetSigmaZ2();
1249 for(Int_t ipol = 0; ipol < 5; ipol++){
1250 sumPolY[ipol] += erry;
1253 sumPolZ[ipol] += errz;
1263 Double_t offset = fitter->GetParameter(3);
1264 Double_t slope = fitter->GetParameter(4);
1266 // Linear fitter - not possible to make boundaries
1267 // Do not accept non possible z and dzdx combinations
1268 Bool_t acceptablez = kTRUE;
1269 Double_t zref = 0.0;
1270 for (Int_t iLayer = 0; iLayer < kNPlanes; iLayer++) {
1271 if(!tracklets[iLayer].IsOK()) continue;
1272 zref = offset + slope * (tracklets[iLayer].GetX0() - xref);
1273 if (TMath::Abs(tracklets[iLayer].GetZfit(0) - zref) > tracklets[iLayer].GetPadLength() * 0.5 + 1.0)
1274 acceptablez = kFALSE;
1277 Double_t dzmf = zfitter.GetFunctionParameter(1);
1278 Double_t zmf = zfitter.GetFunctionValue(&xref);
1279 fgTiltedRieman->FixParameter(3, zmf);
1280 fgTiltedRieman->FixParameter(4, dzmf);
1282 fitter->ReleaseParameter(3);
1283 fitter->ReleaseParameter(4);
1284 offset = fitter->GetParameter(3);
1285 slope = fitter->GetParameter(4);
1288 // Calculate Curvarture
1289 Double_t a = fitter->GetParameter(0);
1290 Double_t b = fitter->GetParameter(1);
1291 Double_t c = fitter->GetParameter(2);
1292 Double_t curvature = 1.0 + b*b - c*a;
1293 if (curvature > 0.0) curvature = a / TMath::Sqrt(curvature);
1295 Double_t chi2track = fitter->GetChisquare()/Double_t(nPoints);
1297 // Prepare error calculation
1298 TMatrixD covarPolY(3,3);
1299 covarPolY(0,0) = sumPolY[0]; covarPolY(1,1) = sumPolY[2]; covarPolY(2,2) = sumPolY[4];
1300 covarPolY(0,1) = covarPolY(1,0) = sumPolY[1];
1301 covarPolY(0,2) = covarPolY(2,0) = sumPolY[2];
1302 covarPolY(2,1) = covarPolY(1,2) = sumPolY[3];
1304 TMatrixD covarPolZ(2,2);
1305 covarPolZ(0,0) = sumPolZ[0]; covarPolZ(1,1) = sumPolZ[2];
1306 covarPolZ(1,0) = covarPolZ(0,1) = sumPolZ[1];
1309 // Update the tracklets
1310 Double_t x1, dy, dz;
1312 memset(cov, 0, sizeof(Double_t) * 15);
1313 for(Int_t iLayer = 0; iLayer < AliTRDtrackerV1::kNPlanes; iLayer++) {
1315 x = tracklets[iLayer].GetX0();
1321 memset(cov, 0, sizeof(Double_t) * 3);
1322 TMatrixD transform(3,3);
1325 transform(0,2) = x*x;
1329 TMatrixD covariance(transform, TMatrixD::kMult, covarPolY);
1330 covariance *= transform.T();
1331 TMatrixD transformZ(2,2);
1332 transformZ(0,0) = transformZ(1,1) = 1;
1333 transformZ(0,1) = x;
1334 TMatrixD covarZ(transformZ, TMatrixD::kMult, covarPolZ);
1335 covarZ *= transformZ.T();
1336 // y: R^2 = (x - x0)^2 + (y - y0)^2
1337 // => y = y0 +/- Sqrt(R^2 - (x - x0)^2)
1338 // R = Sqrt() = 1/Curvature
1339 // => y = y0 +/- Sqrt(1/Curvature^2 - (x - x0)^2)
1340 Double_t res = (x * a + b); // = (x - x0)/y0
1342 res = 1.0 - c * a + b * b - res; // = (R^2 - (x - x0)^2)/y0^2
1344 res = TMath::Sqrt(res);
1345 y = (1.0 - res) / a;
1347 cov[0] = covariance(0,0);
1348 cov[2] = covarZ(0,0);
1351 // dy: R^2 = (x - x0)^2 + (y - y0)^2
1352 // => y = +/- Sqrt(R^2 - (x - x0)^2) + y0
1353 // => dy/dx = (x - x0)/Sqrt(R^2 - (x - x0)^2)
1354 // Curvature: cr = 1/R = a/Sqrt(1 + b^2 - c*a)
1355 // => dy/dx = (x - x0)/(1/(cr^2) - (x - x0)^2)
1356 Double_t x0 = -b / a;
1357 if (-c * a + b * b + 1 > 0) {
1358 if (1.0/(curvature * curvature) - (x - x0) * (x - x0) > 0.0) {
1359 Double_t yderiv = (x - x0) / TMath::Sqrt(1.0/(curvature * curvature) - (x - x0) * (x - x0));
1360 if (a < 0) yderiv *= -1.0;
1364 z = offset + slope * (x - xref);
1366 tracklets[iLayer].SetYref(0, y);
1367 tracklets[iLayer].SetYref(1, dy);
1368 tracklets[iLayer].SetZref(0, z);
1369 tracklets[iLayer].SetZref(1, dz);
1370 tracklets[iLayer].SetC(curvature);
1371 tracklets[iLayer].SetCovRef(cov);
1372 tracklets[iLayer].SetChi2(chi2track);
1374 if(AliLog::GetDebugLevel("TRD", "AliTRDtrackerV1")>3) printf("D-AliTRDtrackerV1::FitTiltedRieman: Chi2[%f] C[%5.2e] pt[%8.3f]\n", chi2track, curvature, GetBz()*kB2C/curvature);
1376 /* if(fkReconstructor->GetRecoParam()->GetStreamLevel(AliTRDrecoParam::kTracker) >=5){
1377 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
1378 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
1379 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
1380 Double_t chi2z = CalculateChi2Z(tracklets, offset, slope, xref);
1381 cstreamer << "FitTiltedRieman0"
1382 << "EventNumber=" << eventNumber
1383 << "CandidateNumber=" << candidateNumber
1385 << "Chi2Z=" << chi2z
1392 //____________________________________________________________________
1393 Double_t AliTRDtrackerV1::FitLine(const AliTRDtrackV1 *track, AliTRDseedV1 *tracklets, Bool_t err, Int_t np, AliTrackPoint *points)
1396 // Fit track with a staight line
1397 // Fills an AliTrackPoint array with np points
1398 // Function should be used to refit tracks when no magnetic field was on
1400 AliTRDLeastSquare yfitter, zfitter;
1401 AliTRDcluster *cl = NULL;
1403 AliTRDseedV1 work[kNPlanes], *tracklet = NULL;
1405 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
1406 if(!(tracklet = track->GetTracklet(ipl))) continue;
1407 if(!tracklet->IsOK()) continue;
1408 new(&work[ipl]) AliTRDseedV1(*tracklet);
1410 tracklets = &work[0];
1413 Double_t xref = CalculateReferenceX(tracklets);
1414 Double_t x, y, z, dx, ye, yr, tilt;
1415 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
1416 if(!tracklets[ipl].IsOK()) continue;
1417 for(Int_t itb = 0; itb < fgNTimeBins; itb++){
1418 if(!(cl = tracklets[ipl].GetClusters(itb))) continue;
1419 if (!tracklets[ipl].IsUsable(itb)) continue;
1423 zfitter.AddPoint(&dx, z, static_cast<Double_t>(TMath::Sqrt(cl->GetSigmaZ2())));
1427 Double_t z0 = zfitter.GetFunctionParameter(0);
1428 Double_t dzdx = zfitter.GetFunctionParameter(1);
1429 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
1430 if(!tracklets[ipl].IsOK()) continue;
1431 for(Int_t itb = 0; itb < fgNTimeBins; itb++){
1432 if(!(cl = tracklets[ipl].GetClusters(itb))) continue;
1433 if (!tracklets[ipl].IsUsable(itb)) continue;
1437 tilt = tracklets[ipl].GetTilt();
1439 yr = y + tilt*(z - z0 - dzdx*dx);
1440 // error definition changes for the different calls
1441 ye = tilt*TMath::Sqrt(cl->GetSigmaZ2());
1442 ye += err ? tracklets[ipl].GetSigmaY() : 0.2;
1443 yfitter.AddPoint(&dx, yr, ye);
1447 Double_t y0 = yfitter.GetFunctionParameter(0);
1448 Double_t dydx = yfitter.GetFunctionParameter(1);
1449 Double_t chi2 = 0.;//yfitter.GetChisquare()/Double_t(nPoints);
1451 //update track points array
1454 for(int ip=0; ip<np; ip++){
1455 points[ip].GetXYZ(xyz);
1456 xyz[1] = y0 + dydx * (xyz[0] - xref);
1457 xyz[2] = z0 + dzdx * (xyz[0] - xref);
1458 points[ip].SetXYZ(xyz);
1465 //_________________________________________________________________________
1466 Double_t AliTRDtrackerV1::FitRiemanTilt(const AliTRDtrackV1 *track, AliTRDseedV1 *tracklets, Bool_t sigError, Int_t np, AliTrackPoint *points)
1469 // Performs a Riemann fit taking tilting pad correction into account
1471 // Paramters: - Array of tracklets (connected to the track candidate)
1472 // - Flag selecting the error definition
1473 // Output: - Chi2 values of the track (in Parameter list)
1475 // The equations which has to be solved simultaneously are:
1477 // R^{2} = (x-x_{0})^{2} + (y^{*}-y_{0})^{2}
1478 // y^{*} = y - tg(h)(z - z_{t})
1479 // z_{t} = z_{0}+dzdx*(x-x_{r})
1481 // with (x, y, z) the coordinate of the cluster, (x_0, y_0, z_0) the coordinate of the center of the Riemann circle,
1482 // R its radius, x_r a constant refrence radial position in the middle of the TRD stack and dzdx the slope of the
1483 // track in the x-z plane. Using the following transformations
1485 // t = 1 / (x^{2} + y^{2})
1487 // v = 2 * tan(h) * t
1488 // w = 2 * tan(h) * (x - x_{r}) * t
1490 // One gets the following linear equation
1492 // a + b * u + c * t + d * v + e * w = 2 * (y + tg(h) * z) * t
1494 // where the coefficients have the following meaning
1498 // c = (R^{2} -x_{0}^{2} - y_{0}^{2})/y_{0}
1502 // The error calculation for the free term is thus
1504 // #sigma = 2 * #sqrt{#sigma^{2}_{y} + (tilt corr ...) + tg^{2}(h) * #sigma^{2}_{z}} * t
1507 // From this simple model one can compute chi^2 estimates and a rough approximation of pt from the curvature according
1510 // C = 1/R = a/(1 + b^{2} + c*a)
1514 // M.Ivanov <M.Ivanov@gsi.de>
1515 // A.Bercuci <A.Bercuci@gsi.de>
1516 // M.Fasel <M.Fasel@gsi.de>
1518 TLinearFitter *fitter = GetTiltedRiemanFitter();
1519 fitter->StoreData(kTRUE);
1520 fitter->ClearPoints();
1521 AliTRDLeastSquare zfitter;
1522 AliTRDcluster *cl = NULL;
1524 AliTRDseedV1 work[kNPlanes], *tracklet = NULL;
1526 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
1527 if(!(tracklet = track->GetTracklet(ipl))) continue;
1528 if(!tracklet->IsOK()) continue;
1529 new(&work[ipl]) AliTRDseedV1(*tracklet);
1531 tracklets = &work[0];
1534 Double_t xref = CalculateReferenceX(tracklets);
1535 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);
1536 Double_t x, y, z, t, tilt, dx, w, we;
1539 // Containers for Least-square fitter
1540 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
1541 if(!tracklets[ipl].IsOK()) continue;
1542 for(Int_t itb = 0; itb < AliTRDseedV1::kNclusters; itb++){
1543 if(!(cl = tracklets[ipl].GetClusters(itb))) continue;
1544 //if (!tracklets[ipl].IsUsable(itb)) continue;
1548 tilt = tracklets[ipl].GetTilt();
1552 uvt[0] = 2. * x * t;
1554 uvt[2] = 2. * tilt * t;
1555 uvt[3] = 2. * tilt * dx * t;
1556 w = 2. * (y + tilt*z) * t;
1557 // error definition changes for the different calls
1559 we *= sigError ? TMath::Sqrt(cl->GetSigmaY2()) : 0.2;
1560 fitter->AddPoint(uvt, w, we);
1561 zfitter.AddPoint(&x, z, static_cast<Double_t>(TMath::Sqrt(cl->GetSigmaZ2())));
1565 if(fitter->Eval()) return 1.E10;
1567 Double_t z0 = fitter->GetParameter(3);
1568 Double_t dzdx = fitter->GetParameter(4);
1571 // Linear fitter - not possible to make boundaries
1572 // Do not accept non possible z and dzdx combinations
1573 Bool_t accept = kTRUE;
1574 Double_t zref = 0.0;
1575 for (Int_t iLayer = 0; iLayer < kNPlanes; iLayer++) {
1576 if(!tracklets[iLayer].IsOK()) continue;
1577 zref = z0 + dzdx * (tracklets[iLayer].GetX0() - xref);
1578 if (TMath::Abs(tracklets[iLayer].GetZfit(0) - zref) > tracklets[iLayer].GetPadLength() * 0.5 + 1.0)
1583 Double_t dzmf = zfitter.GetFunctionParameter(1);
1584 Double_t zmf = zfitter.GetFunctionValue(&xref);
1585 fitter->FixParameter(3, zmf);
1586 fitter->FixParameter(4, dzmf);
1588 fitter->ReleaseParameter(3);
1589 fitter->ReleaseParameter(4);
1590 z0 = fitter->GetParameter(3); // = zmf ?
1591 dzdx = fitter->GetParameter(4); // = dzmf ?
1594 // Calculate Curvature
1595 Double_t a = fitter->GetParameter(0);
1596 Double_t b = fitter->GetParameter(1);
1597 Double_t c = fitter->GetParameter(2);
1598 Double_t y0 = 1. / a;
1599 Double_t x0 = -b * y0;
1600 Double_t tmp = y0*y0 + x0*x0 - c*y0;
1601 if(tmp<=0.) return 1.E10;
1602 Double_t radius = TMath::Sqrt(tmp);
1603 Double_t curvature = 1.0 + b*b - c*a;
1604 if (curvature > 0.0) curvature = a / TMath::Sqrt(curvature);
1606 // Calculate chi2 of the fit
1607 Double_t chi2 = fitter->GetChisquare()/Double_t(nPoints);
1608 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);
1610 // Update the tracklets
1612 for(Int_t ip = 0; ip < kNPlanes; ip++) {
1613 x = tracklets[ip].GetX0();
1614 tmp = radius*radius-(x-x0)*(x-x0);
1615 if(tmp <= 0.) continue;
1616 tmp = TMath::Sqrt(tmp);
1618 // y: R^2 = (x - x0)^2 + (y - y0)^2
1619 // => y = y0 +/- Sqrt(R^2 - (x - x0)^2)
1620 tracklets[ip].SetYref(0, y0 - (y0>0.?1.:-1)*tmp);
1621 // => dy/dx = (x - x0)/Sqrt(R^2 - (x - x0)^2)
1622 tracklets[ip].SetYref(1, (x - x0) / tmp);
1623 tracklets[ip].SetZref(0, z0 + dzdx * (x - xref));
1624 tracklets[ip].SetZref(1, dzdx);
1625 tracklets[ip].SetC(curvature);
1626 tracklets[ip].SetChi2(chi2);
1629 //update track points array
1632 for(int ip=0; ip<np; ip++){
1633 points[ip].GetXYZ(xyz);
1634 xyz[1] = TMath::Abs(xyz[0] - x0) > radius ? 100. : y0 - (y0>0.?1.:-1.)*TMath::Sqrt((radius-(xyz[0]-x0))*(radius+(xyz[0]-x0)));
1635 xyz[2] = z0 + dzdx * (xyz[0] - xref);
1636 points[ip].SetXYZ(xyz);
1644 //____________________________________________________________________
1645 Double_t AliTRDtrackerV1::FitKalman(AliTRDtrackV1 *track, AliTRDseedV1 * const tracklets, Bool_t up, Int_t np, AliTrackPoint *points)
1647 // Kalman filter implementation for the TRD.
1648 // It returns the positions of the fit in the array "points"
1650 // Author : A.Bercuci@gsi.de
1652 // printf("Start track @ x[%f]\n", track->GetX());
1654 //prepare marker points along the track
1655 Int_t ip = np ? 0 : 1;
1657 if((up?-1:1) * (track->GetX() - points[ip].GetX()) > 0.) break;
1658 //printf("AliTRDtrackerV1::FitKalman() : Skip track marker x[%d] = %7.3f. Before track start ( %7.3f ).\n", ip, points[ip].GetX(), track->GetX());
1661 //if(points) printf("First marker point @ x[%d] = %f\n", ip, points[ip].GetX());
1664 AliTRDseedV1 tracklet, *ptrTracklet = NULL;
1666 //Loop through the TRD planes
1667 for (Int_t jplane = 0; jplane < kNPlanes; jplane++) {
1668 // GET TRACKLET OR BUILT IT
1669 Int_t iplane = up ? jplane : kNPlanes - 1 - jplane;
1671 if(!(ptrTracklet = &tracklets[iplane])) continue;
1673 if(!(ptrTracklet = track->GetTracklet(iplane))){
1674 /*AliTRDtrackerV1 *tracker = NULL;
1675 if(!(tracker = dynamic_cast<AliTRDtrackerV1*>( AliTRDrecoParam:Tracker()))) continue;
1676 ptrTracklet = new(&tracklet) AliTRDseedV1(iplane);
1677 if(!tracker->MakeTracklet(ptrTracklet, track)) */
1681 if(!ptrTracklet->IsOK()) continue;
1683 Double_t x = ptrTracklet->GetX0();
1686 //don't do anything if next marker is after next update point.
1687 if((up?-1:1) * (points[ip].GetX() - x) - fgkMaxStep < 0) break;
1688 if(((up?-1:1) * (points[ip].GetX() - track->GetX()) < 0) && !PropagateToX(*track, points[ip].GetX(), fgkMaxStep)) return -1.;
1690 Double_t xyz[3]; // should also get the covariance
1692 track->Global2LocalPosition(xyz, track->GetAlpha());
1693 points[ip].SetXYZ(xyz[0], xyz[1], xyz[2]);
1696 // printf("plane[%d] tracklet[%p] x[%f]\n", iplane, ptrTracklet, x);
1698 // Propagate closer to the next update point
1699 if(((up?-1:1) * (x - track->GetX()) + fgkMaxStep < 0) && !PropagateToX(*track, x + (up?-1:1)*fgkMaxStep, fgkMaxStep)) return -1.;
1701 if(!AdjustSector(track)) return -1;
1702 if(TMath::Abs(track->GetSnp()) > fgkMaxSnp) return -1;
1704 //load tracklet to the tracker and the track
1706 if((index = FindTracklet(ptrTracklet)) < 0){
1707 ptrTracklet = SetTracklet(&tracklet);
1708 index = fTracklets->GetEntriesFast()-1;
1710 track->SetTracklet(ptrTracklet, index);*/
1713 // register tracklet to track with tracklet creation !!
1714 // PropagateBack : loaded tracklet to the tracker and update index
1715 // RefitInward : update index
1716 // MakeTrack : loaded tracklet to the tracker and update index
1717 if(!tracklets) track->SetTracklet(ptrTracklet, -1);
1720 //Calculate the mean material budget along the path inside the chamber
1721 Double_t xyz0[3]; track->GetXYZ(xyz0);
1722 Double_t alpha = track->GetAlpha();
1723 Double_t xyz1[3], y, z;
1724 if(!track->GetProlongation(x, y, z)) return -1;
1725 xyz1[0] = x * TMath::Cos(alpha) - y * TMath::Sin(alpha);
1726 xyz1[1] = +x * TMath::Sin(alpha) + y * TMath::Cos(alpha);
1728 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
1730 if(AliTracker::MeanMaterialBudget(xyz0, xyz1, param) <=0.) break;
1731 Double_t xrho = param[0]*param[4]; // density*length
1732 Double_t xx0 = param[1]; // radiation length
1734 //Propagate the track
1735 track->PropagateTo(x, xx0, xrho);
1736 if (!AdjustSector(track)) break;
1739 Double_t cov[3]; ptrTracklet->GetCovAt(x, cov);
1740 Double_t p[2] = { ptrTracklet->GetY(), ptrTracklet->GetZ()};
1741 Double_t chi2 = ((AliExternalTrackParam*)track)->GetPredictedChi2(p, cov);
1742 if(chi2<1e+10) track->Update(p, cov, chi2);
1745 //Reset material budget if 2 consecutive gold
1746 if(iplane>0 && track->GetTracklet(iplane-1) && ptrTracklet->GetN() + track->GetTracklet(iplane-1)->GetN() > 20) track->SetBudget(2, 0.);
1747 } // end planes loop
1751 if(((up?-1:1) * (points[ip].GetX() - track->GetX()) < 0) && !PropagateToX(*track, points[ip].GetX(), fgkMaxStep)) return -1.;
1753 Double_t xyz[3]; // should also get the covariance
1755 track->Global2LocalPosition(xyz, track->GetAlpha());
1756 points[ip].SetXYZ(xyz[0], xyz[1], xyz[2]);
1760 return track->GetChi2();
1763 //_________________________________________________________________________
1764 Float_t AliTRDtrackerV1::CalculateChi2Z(AliTRDseedV1 *tracklets, Double_t offset, Double_t slope, Double_t xref)
1767 // Calculates the chi2-value of the track in z-Direction including tilting pad correction.
1768 // A linear dependence on the x-value serves as a model.
1769 // The parameters are related to the tilted Riemann fit.
1770 // Parameters: - Array of tracklets (AliTRDseedV1) related to the track candidate
1771 // - the offset for the reference x
1773 // - the reference x position
1774 // Output: - The Chi2 value of the track in z-Direction
1776 Float_t chi2Z = 0, nLayers = 0;
1777 for (Int_t iLayer = 0; iLayer < AliTRDgeometry::kNlayer; iLayer++) {
1778 if(!tracklets[iLayer].IsOK()) continue;
1779 Double_t z = offset + slope * (tracklets[iLayer].GetX0() - xref);
1780 chi2Z += TMath::Abs(tracklets[iLayer].GetZfit(0) - z);
1783 chi2Z /= TMath::Max((nLayers - 3.0),1.0);
1787 //_____________________________________________________________________________
1788 Int_t AliTRDtrackerV1::PropagateToX(AliTRDtrackV1 &t, Double_t xToGo, Double_t maxStep)
1791 // Starting from current X-position of track <t> this function
1792 // extrapolates the track up to radial position <xToGo>.
1793 // Returns 1 if track reaches the plane, and 0 otherwise
1796 const Double_t kEpsilon = 0.00001;
1798 // Current track X-position
1799 Double_t xpos = t.GetX();
1801 // Direction: inward or outward
1802 Double_t dir = (xpos < xToGo) ? 1.0 : -1.0;
1804 while (((xToGo - xpos) * dir) > kEpsilon) {
1813 // The next step size
1814 Double_t step = dir * TMath::Min(TMath::Abs(xToGo-xpos),maxStep);
1816 // Get the global position of the starting point
1819 // X-position after next step
1822 // Get local Y and Z at the X-position of the next step
1823 if(t.GetProlongation(x,y,z)<0) return 0; // No prolongation possible
1825 // The global position of the end point of this prolongation step
1826 xyz1[0] = x * TMath::Cos(t.GetAlpha()) - y * TMath::Sin(t.GetAlpha());
1827 xyz1[1] = +x * TMath::Sin(t.GetAlpha()) + y * TMath::Cos(t.GetAlpha());
1830 // Calculate the mean material budget between start and
1831 // end point of this prolongation step
1832 if(AliTracker::MeanMaterialBudget(xyz0, xyz1, param)<=0.) return 0;
1834 // Propagate the track to the X-position after the next step
1835 if (!t.PropagateTo(x, param[1], param[0]*param[4])) return 0;
1837 // Rotate the track if necessary
1840 // New track X-position
1850 //_____________________________________________________________________________
1851 Int_t AliTRDtrackerV1::ReadClusters(TClonesArray* &array, TTree *clusterTree) const
1854 // Reads AliTRDclusters from the file.
1855 // The names of the cluster tree and branches
1856 // should match the ones used in AliTRDclusterizer::WriteClusters()
1859 Int_t nsize = Int_t(clusterTree->GetTotBytes() / (sizeof(AliTRDcluster)));
1860 TObjArray *clusterArray = new TObjArray(nsize+1000);
1862 TBranch *branch = clusterTree->GetBranch("TRDcluster");
1864 AliError("Can't get the branch !");
1867 branch->SetAddress(&clusterArray);
1870 Float_t nclusters = fkRecoParam->GetNClusters();
1871 if(fkReconstructor->IsHLT()) nclusters /= AliTRDgeometry::kNsector;
1872 array = new TClonesArray("AliTRDcluster", Int_t(nclusters));
1873 array->SetOwner(kTRUE);
1876 // Loop through all entries in the tree
1877 Int_t nEntries = (Int_t) clusterTree->GetEntries();
1880 AliTRDcluster *c = NULL;
1881 for (Int_t iEntry = 0; iEntry < nEntries; iEntry++) {
1883 nbytes += clusterTree->GetEvent(iEntry);
1885 // Get the number of points in the detector
1886 Int_t nCluster = clusterArray->GetEntriesFast();
1887 for (Int_t iCluster = 0; iCluster < nCluster; iCluster++) {
1888 if(!(c = (AliTRDcluster *) clusterArray->UncheckedAt(iCluster))) continue;
1889 new((*fClusters)[ncl++]) AliTRDcluster(*c);
1890 delete (clusterArray->RemoveAt(iCluster));
1894 delete clusterArray;
1899 //_____________________________________________________________________________
1900 Int_t AliTRDtrackerV1::LoadClusters(TTree *cTree)
1903 // Fills clusters into TRD tracking sectors
1906 fkRecoParam = fkReconstructor->GetRecoParam(); // load reco param for this event
1908 if(!fkReconstructor->IsWritingClusters()){
1909 fClusters = AliTRDReconstructor::GetClusters();
1911 if (ReadClusters(fClusters, cTree)) {
1912 AliError("Problem with reading the clusters !");
1918 if(!fClusters || !fClusters->GetEntriesFast()){
1919 AliInfo("No TRD clusters");
1924 BuildTrackingContainers();
1926 //Int_t ncl = fClusters->GetEntriesFast();
1927 //AliInfo(Form("Clusters %d [%6.2f %% in the active volume]", ncl, 100.*float(nin)/ncl));
1932 //_____________________________________________________________________________
1933 Int_t AliTRDtrackerV1::LoadClusters(TClonesArray * const clusters)
1936 // Fills clusters into TRD tracking sectors
1937 // Function for use in the HLT
1939 if(!clusters || !clusters->GetEntriesFast()){
1940 AliInfo("No TRD clusters");
1944 fClusters = clusters;
1947 fkRecoParam = fkReconstructor->GetRecoParam(); // load reco param for this event
1948 BuildTrackingContainers();
1950 //Int_t ncl = fClusters->GetEntriesFast();
1951 //AliInfo(Form("Clusters %d [%6.2f %% in the active volume]", ncl, 100.*float(nin)/ncl));
1957 //____________________________________________________________________
1958 Int_t AliTRDtrackerV1::BuildTrackingContainers()
1960 // Building tracking containers for clusters
1962 Int_t nin =0, icl = fClusters->GetEntriesFast();
1964 AliTRDcluster *c = (AliTRDcluster *) fClusters->UncheckedAt(icl);
1965 if(c->IsInChamber()) nin++;
1966 if(fkReconstructor->IsHLT()) c->SetRPhiMethod(AliTRDcluster::kCOG);
1967 Int_t detector = c->GetDetector();
1968 Int_t sector = fGeom->GetSector(detector);
1969 Int_t stack = fGeom->GetStack(detector);
1970 Int_t layer = fGeom->GetLayer(detector);
1972 fTrSec[sector].GetChamber(stack, layer, kTRUE)->InsertCluster(c, icl);
1975 const AliTRDCalDet *cal = AliTRDcalibDB::Instance()->GetT0Det();
1976 for(int isector =0; isector<AliTRDgeometry::kNsector; isector++){
1977 if(!fTrSec[isector].GetNChambers()) continue;
1978 fTrSec[isector].Init(fkReconstructor, cal);
1986 //____________________________________________________________________
1987 void AliTRDtrackerV1::UnloadClusters()
1990 // Clears the arrays of clusters and tracks. Resets sectors and timebins
1991 // If option "force" is also set the containers are also deleted. This is useful
1996 if(HasRemoveContainers()){delete fTracks; fTracks = NULL;}
1999 fTracklets->Delete();
2000 if(HasRemoveContainers()){delete fTracklets; fTracklets = NULL;}
2003 if(IsClustersOwner()) fClusters->Delete();
2005 // save clusters array in the reconstructor for further use.
2006 if(!fkReconstructor->IsWritingClusters()){
2007 AliTRDReconstructor::SetClusters(fClusters);
2008 SetClustersOwner(kFALSE);
2009 } else AliTRDReconstructor::SetClusters(NULL);
2012 for (int i = 0; i < AliTRDgeometry::kNsector; i++) fTrSec[i].Clear();
2014 // Increment the Event Number
2015 AliTRDtrackerDebug::SetEventNumber(AliTRDtrackerDebug::GetEventNumber() + 1);
2018 // //____________________________________________________________________
2019 // void AliTRDtrackerV1::UseClusters(const AliKalmanTrack *t, Int_t) const
2021 // const AliTRDtrackV1 *track = dynamic_cast<const AliTRDtrackV1*>(t);
2022 // if(!track) return;
2024 // AliTRDseedV1 *tracklet = NULL;
2025 // for(Int_t ily=AliTRDgeometry::kNlayer; ily--;){
2026 // if(!(tracklet = track->GetTracklet(ily))) continue;
2027 // AliTRDcluster *c = NULL;
2028 // for(Int_t ic=AliTRDseed::kNclusters; ic--;){
2029 // if(!(c=tracklet->GetClusters(ic))) continue;
2036 //_____________________________________________________________________________
2037 Bool_t AliTRDtrackerV1::AdjustSector(AliTRDtrackV1 *const track)
2040 // Rotates the track when necessary
2043 Double_t alpha = AliTRDgeometry::GetAlpha();
2044 Double_t y = track->GetY();
2045 Double_t ymax = track->GetX()*TMath::Tan(0.5*alpha);
2048 if (!track->Rotate( alpha)) {
2052 else if (y < -ymax) {
2053 if (!track->Rotate(-alpha)) {
2063 //____________________________________________________________________
2064 AliTRDseedV1* AliTRDtrackerV1::GetTracklet(AliTRDtrackV1 *const track, Int_t p, Int_t &idx)
2066 // Find tracklet for TRD track <track>
2075 // Detailed description
2077 idx = track->GetTrackletIndex(p);
2078 AliTRDseedV1 *tracklet = (idx<0) ? NULL : (AliTRDseedV1*)fTracklets->UncheckedAt(idx);
2083 //____________________________________________________________________
2084 AliTRDseedV1* AliTRDtrackerV1::SetTracklet(const AliTRDseedV1 * const tracklet)
2086 // Add this tracklet to the list of tracklets stored in the tracker
2089 // - tracklet : pointer to the tracklet to be added to the list
2092 // - the index of the new tracklet in the tracker tracklets list
2094 // Detailed description
2095 // Build the tracklets list if it is not yet created (late initialization)
2096 // and adds the new tracklet to the list.
2099 fTracklets = new TClonesArray("AliTRDseedV1", AliTRDgeometry::Nsector()*kMaxTracksStack);
2100 fTracklets->SetOwner(kTRUE);
2102 Int_t nentries = fTracklets->GetEntriesFast();
2103 return new ((*fTracklets)[nentries]) AliTRDseedV1(*tracklet);
2106 //____________________________________________________________________
2107 AliTRDtrackV1* AliTRDtrackerV1::SetTrack(const AliTRDtrackV1 * const track)
2109 // Add this track to the list of tracks stored in the tracker
2112 // - track : pointer to the track to be added to the list
2115 // - the pointer added
2117 // Detailed description
2118 // Build the tracks list if it is not yet created (late initialization)
2119 // and adds the new track to the list.
2122 fTracks = new TClonesArray("AliTRDtrackV1", AliTRDgeometry::Nsector()*kMaxTracksStack);
2123 fTracks->SetOwner(kTRUE);
2125 Int_t nentries = fTracks->GetEntriesFast();
2126 return new ((*fTracks)[nentries]) AliTRDtrackV1(*track);
2131 //____________________________________________________________________
2132 Int_t AliTRDtrackerV1::Clusters2TracksSM(Int_t sector, AliESDEvent *esd)
2135 // Steer tracking for one SM.
2138 // sector : Array of (SM) propagation layers containing clusters
2139 // esd : The current ESD event. On output it contains the also
2140 // the ESD (TRD) tracks found in this SM.
2143 // Number of tracks found in this TRD supermodule.
2145 // Detailed description
2147 // 1. Unpack AliTRDpropagationLayers objects for each stack.
2148 // 2. Launch stack tracking.
2149 // See AliTRDtrackerV1::Clusters2TracksStack() for details.
2150 // 3. Pack results in the ESD event.
2154 Int_t nChambers = 0;
2155 AliTRDtrackingChamber **stack = NULL, *chamber = NULL;
2156 for(int istack = 0; istack<AliTRDgeometry::kNstack; istack++){
2157 if(!(stack = fTrSec[sector].GetStack(istack))) continue;
2159 for(int ilayer=0; ilayer<AliTRDgeometry::kNlayer; ilayer++){
2160 if(!(chamber = stack[ilayer])) continue;
2161 if(chamber->GetNClusters() < fgNTimeBins * fkRecoParam->GetFindableClusters()) continue;
2163 //AliInfo(Form("sector %d stack %d layer %d clusters %d", sector, istack, ilayer, chamber->GetNClusters()));
2165 if(nChambers < 4) continue;
2166 //AliInfo(Form("Doing stack %d", istack));
2167 nTracks += Clusters2TracksStack(stack, fTracksESD);
2169 if(nTracks) AliDebug(2, Form("Number of tracks: SM_%02d[%d]", sector, nTracks));
2171 for(int itrack=0; itrack<nTracks; itrack++){
2172 AliESDtrack *esdTrack((AliESDtrack*)(fTracksESD->operator[](itrack)));
2173 Int_t id = esd->AddTrack(esdTrack);
2175 // set ESD id to stand alone TRD tracks
2176 if (fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 0){
2177 esdTrack=esd->GetTrack(id);
2178 TObject *o(NULL); Int_t ic(0);
2179 AliTRDtrackV1 *calibTrack(NULL);
2180 while((o = esdTrack->GetCalibObject(ic++))){
2181 if(!(calibTrack = dynamic_cast<AliTRDtrackV1*>(o))) continue;
2182 calibTrack->SetESDid(esdTrack->GetID());
2188 // Reset Track and Candidate Number
2189 AliTRDtrackerDebug::SetCandidateNumber(0);
2190 AliTRDtrackerDebug::SetTrackNumber(0);
2192 // delete ESD tracks in the array
2193 fTracksESD->Delete();
2197 //____________________________________________________________________
2198 Int_t AliTRDtrackerV1::Clusters2TracksStack(AliTRDtrackingChamber **stack, TClonesArray * const esdTrackList)
2201 // Make tracks in one TRD stack.
2204 // layer : Array of stack propagation layers containing clusters
2205 // esdTrackList : Array of ESD tracks found by the stand alone tracker.
2206 // On exit the tracks found in this stack are appended.
2209 // Number of tracks found in this stack.
2211 // Detailed description
2213 // 1. Find the 3 most useful seeding chambers. See BuildSeedingConfigs() for details.
2214 // 2. Steer AliTRDtrackerV1::MakeSeeds() for 3 seeding layer configurations.
2215 // See AliTRDtrackerV1::MakeSeeds() for more details.
2216 // 3. Arrange track candidates in decreasing order of their quality
2217 // 4. Classify tracks in 5 categories according to:
2218 // a) number of layers crossed
2220 // 5. Sign clusters by tracks in decreasing order of track quality
2221 // 6. Build AliTRDtrack out of seeding tracklets
2223 // 8. Build ESD track and register it to the output list
2226 const AliTRDCalDet *cal = AliTRDcalibDB::Instance()->GetT0Det();
2227 AliTRDtrackingChamber *chamber = NULL;
2228 AliTRDtrackingChamber **ci = NULL;
2229 AliTRDseedV1 sseed[kMaxTracksStack*6]; // to be initialized
2230 Int_t pars[4]; // MakeSeeds parameters
2232 //Double_t alpha = AliTRDgeometry::GetAlpha();
2233 //Double_t shift = .5 * alpha;
2234 Int_t configs[kNConfigs];
2236 // Purge used clusters from the containers
2238 for(Int_t ic = kNPlanes; ic--; ci++){
2239 if(!(*ci)) continue;
2243 // Build initial seeding configurations
2244 Double_t quality = BuildSeedingConfigs(stack, configs);
2245 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 10){
2246 AliInfo(Form("Plane config %d %d %d Quality %f"
2247 , configs[0], configs[1], configs[2], quality));
2251 // Initialize contors
2252 Int_t ntracks, // number of TRD track candidates
2253 ntracks1, // number of registered TRD tracks/iter
2254 ntracks2 = 0; // number of all registered TRD tracks in stack
2258 Int_t ic = 0; ci = &stack[0];
2259 while(ic<kNPlanes && !(*ci)){ic++; ci++;}
2260 if(!(*ci)) return ntracks2;
2261 Int_t istack = fGeom->GetStack((*ci)->GetDetector());
2264 // Loop over seeding configurations
2265 ntracks = 0; ntracks1 = 0;
2266 for (Int_t iconf = 0; iconf<3; iconf++) {
2267 pars[0] = configs[iconf];
2270 ntracks = MakeSeeds(stack, &sseed[6*ntracks], pars);
2271 //AliInfo(Form("Number of Tracks after iteration step %d: %d\n", iconf, ntracks));
2272 if(ntracks == kMaxTracksStack) break;
2274 AliDebug(2, Form("Candidate TRD tracks %d in iteration %d.", ntracks, fSieveSeeding));
2277 // Sort the seeds according to their quality
2278 Int_t sort[kMaxTracksStack];
2279 TMath::Sort(ntracks, fTrackQuality, sort, kTRUE);
2280 if(AliLog::GetDebugLevel("TRD", "AliTRDtrackerV1") > 2){
2281 AliDebug(3, "Track candidates classification:");
2282 for (Int_t it(0); it < ntracks; it++) {
2284 printf(" %2d idx[%d] Quality[%e]\n", it, jt, fTrackQuality[jt]);
2288 // Initialize number of tracks so far and logic switches
2289 Int_t ntracks0 = esdTrackList->GetEntriesFast();
2290 Bool_t signedTrack[kMaxTracksStack];
2291 Bool_t fakeTrack[kMaxTracksStack];
2292 for (Int_t i=0; i<ntracks; i++){
2293 signedTrack[i] = kFALSE;
2294 fakeTrack[i] = kFALSE;
2296 //AliInfo("Selecting track candidates ...");
2298 // Sieve clusters in decreasing order of track quality
2299 Int_t jSieve(0), rejectedCandidates(0);
2301 // Check track candidates
2302 rejectedCandidates=0;
2303 for (Int_t itrack = 0; itrack < ntracks; itrack++) {
2304 Int_t trackIndex = sort[itrack];
2305 if (signedTrack[trackIndex] || fakeTrack[trackIndex]) continue;
2307 // Calculate track parameters from tracklets seeds
2312 for (Int_t jLayer = 0; jLayer < kNPlanes; jLayer++) {
2313 Int_t jseed = kNPlanes*trackIndex+jLayer;
2314 sseed[jseed].UpdateUsed();
2315 if(!sseed[jseed].IsOK()) continue;
2316 // check if primary candidate
2317 if (TMath::Abs(sseed[jseed].GetYref(0) / sseed[jseed].GetX0()) < 0.158) findable++;
2318 ncl += sseed[jseed].GetN();
2319 nused += sseed[jseed].GetNUsed();
2323 // Filter duplicated tracks
2325 AliDebug(4, Form("REJECTED : %d idx[%d] quality[%e] tracklets[%d] usedClusters[%d]", itrack, trackIndex, fTrackQuality[trackIndex], nlayers, nused));
2326 fakeTrack[trackIndex] = kTRUE;
2329 if (ncl>0 && Float_t(nused)/ncl >= .25){
2330 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));
2331 fakeTrack[trackIndex] = kTRUE;
2335 AliDebug(4, Form("Candidate[%d] Quality[%e] Tracklets[%d] Findable[%d] Ncl[%d] Nused[%d]", trackIndex, fTrackQuality[trackIndex], nlayers, findable, ncl, nused));
2338 Bool_t skip = kFALSE;
2340 case 0: // select 6 tracklets primary tracks, good quality
2341 if(nlayers > findable || nlayers < kNPlanes) {skip = kTRUE; break;}
2342 if(TMath::Log(1.E-9+fTrackQuality[trackIndex]) < -5.){skip = kTRUE; break;}
2345 case 1: // select shorter primary tracks, good quality
2346 if(findable<4){skip = kTRUE; break;}
2347 if(nlayers < findable){skip = kTRUE; break;}
2348 if(TMath::Log(1.E-9+fTrackQuality[trackIndex]) < -4.){skip = kTRUE; break;}
2351 case 2: // select 6 tracklets secondary tracks
2352 if(nlayers < kNPlanes) { skip = kTRUE; break;}
2353 if (TMath::Log(1.E-9+fTrackQuality[trackIndex]) < -6.0){skip = kTRUE; break;}
2356 case 3: // select shorter tracks, good quality
2357 if (nlayers<4){skip = kTRUE; break;}
2358 if (TMath::Log(1.E-9+fTrackQuality[trackIndex]) < -5.){skip = kTRUE; break;}
2361 case 4: // select anything with at least 4 tracklets
2362 if (nlayers<4){skip = kTRUE; break;}
2363 //if (TMath::Log(1.E-9+fTrackQuality[trackIndex]) - nused/(nlayers-3.0) < -15.0){skip = kTRUE; break;}
2367 rejectedCandidates++;
2368 AliDebug(4, Form("REJECTED : %d idx[%d] quality[%e] tracklets[%d] usedClusters[%d]", itrack, trackIndex, fTrackQuality[trackIndex], nlayers, nused));
2370 } else AliDebug(4, Form("ACCEPTED : %d idx[%d] quality[%e] tracklets[%d] usedClusters[%d]", itrack, trackIndex, fTrackQuality[trackIndex], nlayers, nused));
2372 signedTrack[trackIndex] = kTRUE;
2374 AliTRDseedV1 *lseed =&sseed[trackIndex*kNPlanes];
2375 AliTRDtrackV1 *track = MakeTrack(lseed);
2377 AliDebug(1, "Track building failed.");
2380 if(AliLog::GetDebugLevel("TRD", "AliTRDtrackerV1") > 1){
2381 Int_t ich = 0; while(!(chamber = stack[ich])) ich++;
2382 AliDebug(2, Form("Track pt=%7.2fGeV/c SM[%2d] Done.", track->Pt(), fGeom->GetSector(chamber->GetDetector())));
2386 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 1 && fkReconstructor->IsDebugStreaming()){
2387 //AliInfo(Form("Track %d [%d] nlayers %d trackQuality = %e nused %d, yref = %3.3f", itrack, trackIndex, nlayers, fTrackQuality[trackIndex], nused, trackParams[1]));
2389 AliTRDseedV1 *dseed[6];
2390 for(Int_t iseed = AliTRDgeometry::kNlayer; iseed--;) dseed[iseed] = new AliTRDseedV1(lseed[iseed]);
2392 //Int_t eventNrInFile = esd->GetEventNumberInFile();
2393 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
2394 Int_t trackNumber = AliTRDtrackerDebug::GetTrackNumber();
2395 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
2396 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
2397 cstreamer << "Clusters2TracksStack"
2398 << "EventNumber=" << eventNumber
2399 << "TrackNumber=" << trackNumber
2400 << "CandidateNumber=" << candidateNumber
2401 << "Iter=" << fSieveSeeding
2402 << "Like=" << fTrackQuality[trackIndex]
2403 << "S0.=" << dseed[0]
2404 << "S1.=" << dseed[1]
2405 << "S2.=" << dseed[2]
2406 << "S3.=" << dseed[3]
2407 << "S4.=" << dseed[4]
2408 << "S5.=" << dseed[5]
2410 << "NLayers=" << nlayers
2411 << "Findable=" << findable
2412 << "NUsed=" << nused
2417 AliESDtrack *esdTrack = new ((*esdTrackList)[ntracks0++]) AliESDtrack();
2418 esdTrack->UpdateTrackParams(track, AliESDtrack::kTRDout);
2419 esdTrack->SetLabel(track->GetLabel());
2420 track->UpdateESDtrack(esdTrack);
2421 // write ESD-friends if neccessary
2422 if (fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 0){
2423 AliTRDtrackV1 *calibTrack = new AliTRDtrackV1(*track);
2424 calibTrack->SetOwner();
2425 esdTrack->AddCalibObject(calibTrack);
2428 AliTRDtrackerDebug::SetTrackNumber(AliTRDtrackerDebug::GetTrackNumber() + 1);
2432 } while(jSieve<5 && rejectedCandidates); // end track candidates sieve
2433 if(!ntracks1) break;
2435 // increment counters
2436 ntracks2 += ntracks1;
2438 if(fkReconstructor->IsHLT()) break;
2441 // Rebuild plane configurations and indices taking only unused clusters into account
2442 quality = BuildSeedingConfigs(stack, configs);
2443 if(quality < 1.E-7) break; //fkReconstructor->GetRecoParam() ->GetPlaneQualityThreshold()) break;
2445 for(Int_t ip = 0; ip < kNPlanes; ip++){
2446 if(!(chamber = stack[ip])) continue;
2447 chamber->Build(fGeom, cal);//Indices(fSieveSeeding);
2450 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 10){
2451 AliInfo(Form("Sieve level %d Plane config %d %d %d Quality %f", fSieveSeeding, configs[0], configs[1], configs[2], quality));
2453 } while(fSieveSeeding<10); // end stack clusters sieve
2457 //AliInfo(Form("Registered TRD tracks %d in stack %d.", ntracks2, pars[1]));
2462 //___________________________________________________________________
2463 Double_t AliTRDtrackerV1::BuildSeedingConfigs(AliTRDtrackingChamber **stack, Int_t *configs)
2466 // Assign probabilities to chambers according to their
2467 // capability of producing seeds.
2471 // layers : Array of stack propagation layers for all 6 chambers in one stack
2472 // configs : On exit array of configuration indexes (see GetSeedingConfig()
2473 // for details) in the decreasing order of their seeding probabilities.
2477 // Return top configuration quality
2479 // Detailed description:
2481 // To each chamber seeding configuration (see GetSeedingConfig() for
2482 // the list of all configurations) one defines 2 quality factors:
2483 // - an apriori topological quality (see GetSeedingConfig() for details) and
2484 // - a data quality based on the uniformity of the distribution of
2485 // clusters over the x range (time bins population). See CookChamberQA() for details.
2486 // The overall chamber quality is given by the product of this 2 contributions.
2489 Double_t chamberQ[kNPlanes];memset(chamberQ, 0, kNPlanes*sizeof(Double_t));
2490 AliTRDtrackingChamber *chamber = NULL;
2491 for(int iplane=0; iplane<kNPlanes; iplane++){
2492 if(!(chamber = stack[iplane])) continue;
2493 chamberQ[iplane] = (chamber = stack[iplane]) ? chamber->GetQuality() : 0.;
2496 Double_t tconfig[kNConfigs];memset(tconfig, 0, kNConfigs*sizeof(Double_t));
2497 Int_t planes[] = {0, 0, 0, 0};
2498 for(int iconf=0; iconf<kNConfigs; iconf++){
2499 GetSeedingConfig(iconf, planes);
2500 tconfig[iconf] = fgTopologicQA[iconf];
2501 for(int iplane=0; iplane<4; iplane++) tconfig[iconf] *= chamberQ[planes[iplane]];
2504 TMath::Sort((Int_t)kNConfigs, tconfig, configs, kTRUE);
2505 // AliInfo(Form("q[%d] = %f", configs[0], tconfig[configs[0]]));
2506 // AliInfo(Form("q[%d] = %f", configs[1], tconfig[configs[1]]));
2507 // AliInfo(Form("q[%d] = %f", configs[2], tconfig[configs[2]]));
2509 return tconfig[configs[0]];
2512 //____________________________________________________________________
2513 Int_t AliTRDtrackerV1::MakeSeeds(AliTRDtrackingChamber **stack, AliTRDseedV1 * const sseed, const Int_t * const ipar)
2516 // Seed tracklets and build candidate TRD tracks. The procedure is used during barrel tracking to account for tracks which are
2517 // either missed by TPC prolongation or conversions inside the TRD volume.
2518 // For stand alone tracking the procedure is used to estimate all tracks measured by TRD.
2521 // layers : Array of stack propagation layers containing clusters
2522 // sseed : Array of empty tracklet seeds. On exit they are filled.
2523 // ipar : Control parameters:
2524 // ipar[0] -> seeding chambers configuration
2525 // ipar[1] -> stack index
2526 // ipar[2] -> number of track candidates found so far
2529 // Number of tracks candidates found.
2531 // The following steps are performed:
2532 // 1. Build seeding layers by collapsing all time bins from each of the four seeding chambers along the
2533 // radial coordinate. See AliTRDtrackingChamber::GetSeedingLayer() for details. The chambers selection for seeding
2534 // is described in AliTRDtrackerV1::Clusters2TracksStack().
2535 // 2. Using the seeding clusters from the seeding layer (step 1) build combinatorics using the following algorithm:
2536 // - for each seeding cluster in the lower seeding layer find
2537 // - all seeding clusters in the upper seeding layer inside a road defined by a given phi angle. The angle
2538 // is calculated on the minimum pt of tracks from vertex accesible to the stand alone tracker.
2539 // - for each pair of two extreme seeding clusters select middle upper cluster using roads defined externally by the
2541 // - select last seeding cluster as the nearest to the linear approximation of the track described by the first three
2542 // seeding clusters.
2543 // The implementation of road calculation and cluster selection can be found in the functions AliTRDchamberTimeBin::BuildCond()
2544 // and AliTRDchamberTimeBin::GetClusters().
2545 // 3. Helix fit of the seeding clusters set. (see AliTRDtrackerFitter::FitRieman(AliTRDcluster**)). No tilt correction is
2546 // performed at this level
2547 // 4. Initialize seeding tracklets in the seeding chambers.
2548 // 5. *Filter 0* Chi2 cut on the Y and Z directions. The threshold is set externally by the reco params.
2549 // 6. Attach (true) clusters to seeding tracklets (see AliTRDseedV1::AttachClusters()) and fit tracklet (see
2550 // AliTRDseedV1::Fit()). The number of used clusters used by current seeds should not exceed ... (25).
2551 // 7. *Filter 1* Check if all 4 seeding tracklets are correctly constructed.
2552 // 8. Helix fit of the clusters from the seeding tracklets with tilt correction. Refit tracklets using the new
2553 // approximation of the track.
2554 // 9. *Filter 2* Calculate likelihood of the track. (See AliTRDtrackerV1::CookLikelihood()). The following quantities are
2555 // checked against the Riemann fit:
2556 // - position resolution in y
2557 // - angular resolution in the bending plane
2558 // - likelihood of the number of clusters attached to the tracklet
2559 // 10. Extrapolation of the helix fit to the other 2 chambers *non seeding* chambers:
2560 // - Initialization of extrapolation tracklets with the fit parameters
2561 // - Attach clusters to extrapolated tracklets
2562 // - Helix fit of tracklets
2563 // 11. Improve seeding tracklets quality by reassigning clusters based on the last parameters of the track
2564 // See AliTRDtrackerV1::ImproveSeedQuality() for details.
2565 // 12. Helix fit of all 6 seeding tracklets and chi2 calculation
2566 // 13. Hyperplane fit and track quality calculation. See AliTRDtrackerFitter::FitHyperplane() for details.
2567 // 14. Cooking labels for tracklets. Should be done only for MC
2568 // 15. Register seeds.
2571 // Marian Ivanov <M.Ivanov@gsi.de>
2572 // Alexandru Bercuci <A.Bercuci@gsi.de>
2573 // Markus Fasel <M.Fasel@gsi.de>
2575 AliTRDtrackingChamber *chamber = NULL;
2576 AliTRDcluster *c[kNSeedPlanes] = {NULL, NULL, NULL, NULL}; // initilize seeding clusters
2577 AliTRDseedV1 *cseed = &sseed[0]; // initialize tracklets for first track
2578 Int_t ncl, mcl; // working variable for looping over clusters
2579 Int_t index[AliTRDchamberTimeBin::kMaxClustersLayer], jndex[AliTRDchamberTimeBin::kMaxClustersLayer];
2581 // chi2[0] = tracklet chi2 on the Z direction
2582 // chi2[1] = tracklet chi2 on the R direction
2585 // this should be data member of AliTRDtrack TODO
2586 Double_t seedQuality[kMaxTracksStack];
2588 // unpack control parameters
2589 Int_t config = ipar[0];
2590 Int_t ntracks = ipar[1];
2591 Int_t istack = ipar[2];
2592 Int_t planes[kNSeedPlanes]; GetSeedingConfig(config, planes);
2593 Int_t planesExt[kNPlanes-kNSeedPlanes]; GetExtrapolationConfig(config, planesExt);
2596 // Init chambers geometry
2597 Double_t hL[kNPlanes]; // Tilting angle
2598 Float_t padlength[kNPlanes]; // pad lenghts
2599 Float_t padwidth[kNPlanes]; // pad widths
2600 AliTRDpadPlane *pp = NULL;
2601 for(int iplane=0; iplane<kNPlanes; iplane++){
2602 pp = fGeom->GetPadPlane(iplane, istack);
2603 hL[iplane] = TMath::Tan(TMath::DegToRad()*pp->GetTiltingAngle());
2604 padlength[iplane] = pp->GetLengthIPad();
2605 padwidth[iplane] = pp->GetWidthIPad();
2608 // Init anode wire position for chambers
2609 Double_t x0[kNPlanes], // anode wire position
2610 driftLength = .5*AliTRDgeometry::AmThick() - AliTRDgeometry::DrThick(); // drift length
2611 TGeoHMatrix *matrix = NULL;
2612 Double_t loc[] = {AliTRDgeometry::AnodePos(), 0., 0.};
2613 Double_t glb[] = {0., 0., 0.};
2614 AliTRDtrackingChamber **cIter = &stack[0];
2615 for(int iLayer=0; iLayer<kNPlanes; iLayer++,cIter++){
2616 if(!(*cIter)) continue;
2617 if(!(matrix = fGeom->GetClusterMatrix((*cIter)->GetDetector()))){
2619 x0[iLayer] = fgkX0[iLayer];
2621 matrix->LocalToMaster(loc, glb);
2622 x0[iLayer] = glb[0];
2625 AliDebug(2, Form("Making seeds Stack[%d] Config[%d] Tracks[%d]...", istack, config, ntracks));
2627 // Build seeding layers
2630 for(int isl=0; isl<kNSeedPlanes; isl++){
2631 if(!(chamber = stack[planes[isl]])) continue;
2632 if(!chamber->GetSeedingLayer(fSeedTB[isl], fGeom, fkReconstructor)) continue;
2635 if(nlayers < kNSeedPlanes) return ntracks;
2638 // Start finding seeds
2639 Double_t cond0[4], cond1[4], cond2[4];
2641 while((c[3] = (*fSeedTB[3])[icl++])){
2643 fSeedTB[0]->BuildCond(c[3], cond0, 0);
2644 fSeedTB[0]->GetClusters(cond0, index, ncl);
2645 //printf("Found c[3] candidates 0 %d\n", ncl);
2648 c[0] = (*fSeedTB[0])[index[jcl++]];
2650 Double_t dx = c[3]->GetX() - c[0]->GetX();
2651 Double_t dzdx = (c[3]->GetZ() - c[0]->GetZ())/dx;
2652 Double_t dydx = (c[3]->GetY() - c[0]->GetY())/dx;
2653 fSeedTB[1]->BuildCond(c[0], cond1, 1, dzdx, dydx);
2654 fSeedTB[1]->GetClusters(cond1, jndex, mcl);
2655 //printf("Found c[0] candidates 1 %d\n", mcl);
2659 c[1] = (*fSeedTB[1])[jndex[kcl++]];
2661 fSeedTB[2]->BuildCond(c[1], cond2, 2, dzdx, dydx);
2662 c[2] = fSeedTB[2]->GetNearestCluster(cond2);
2663 //printf("Found c[1] candidate 2 %p\n", c[2]);
2666 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].",
2667 c[0]->GetX(), c[0]->GetY(), c[0]->GetZ(),
2668 c[1]->GetX(), c[1]->GetY(), c[1]->GetZ(),
2669 c[2]->GetX(), c[2]->GetY(), c[2]->GetZ(),
2670 c[3]->GetX(), c[3]->GetY(), c[3]->GetZ()));
2672 for (Int_t il = 0; il < kNPlanes; il++) cseed[il].Reset();
2676 AliTRDseedV1 *tseed = &cseed[0];
2678 for(int iLayer=0; iLayer<kNPlanes; iLayer++, tseed++, cIter++){
2679 Int_t det = (*cIter) ? (*cIter)->GetDetector() : -1;
2680 tseed->SetDetector(det);
2681 tseed->SetTilt(hL[iLayer]);
2682 tseed->SetPadLength(padlength[iLayer]);
2683 tseed->SetPadWidth(padwidth[iLayer]);
2684 tseed->SetReconstructor(fkReconstructor);
2685 tseed->SetX0(det<0 ? fR[iLayer]+driftLength : x0[iLayer]);
2686 tseed->Init(GetRiemanFitter());
2687 tseed->SetStandAlone(kTRUE);
2690 Bool_t isFake = kFALSE;
2691 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) >= 2 && fkReconstructor->IsDebugStreaming()){
2692 if (c[0]->GetLabel(0) != c[3]->GetLabel(0)) isFake = kTRUE;
2693 if (c[1]->GetLabel(0) != c[3]->GetLabel(0)) isFake = kTRUE;
2694 if (c[2]->GetLabel(0) != c[3]->GetLabel(0)) isFake = kTRUE;
2697 for(Int_t l = 0; l < kNSeedPlanes; l++) xpos[l] = fSeedTB[l]->GetX();
2699 for(int il=0; il<4; il++) yref[il] = cseed[planes[il]].GetYref(0);
2700 Int_t ll = c[3]->GetLabel(0);
2701 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
2702 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
2703 AliRieman *rim = GetRiemanFitter();
2704 TTreeSRedirector &cs0 = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
2706 <<"EventNumber=" << eventNumber
2707 <<"CandidateNumber=" << candidateNumber
2708 <<"isFake=" << isFake
2709 <<"config=" << config
2711 <<"chi2z=" << chi2[0]
2712 <<"chi2y=" << chi2[1]
2713 <<"Y2exp=" << cond2[0]
2714 <<"Z2exp=" << cond2[1]
2715 <<"X0=" << xpos[0] //layer[sLayer]->GetX()
2716 <<"X1=" << xpos[1] //layer[sLayer + 1]->GetX()
2717 <<"X2=" << xpos[2] //layer[sLayer + 2]->GetX()
2718 <<"X3=" << xpos[3] //layer[sLayer + 3]->GetX()
2719 <<"yref0=" << yref[0]
2720 <<"yref1=" << yref[1]
2721 <<"yref2=" << yref[2]
2722 <<"yref3=" << yref[3]
2727 <<"Seed0.=" << &cseed[planes[0]]
2728 <<"Seed1.=" << &cseed[planes[1]]
2729 <<"Seed2.=" << &cseed[planes[2]]
2730 <<"Seed3.=" << &cseed[planes[3]]
2731 <<"RiemanFitter.=" << rim
2734 if(chi2[0] > fkRecoParam->GetChi2Z()/*7./(3. - sLayer)*//*iter*/){
2735 AliDebug(3, Form("Filter on chi2Z [%f].", chi2[0]));
2736 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2739 if(chi2[1] > fkRecoParam->GetChi2Y()/*1./(3. - sLayer)*//*iter*/){
2740 AliDebug(3, Form("Filter on chi2Y [%f].", chi2[1]));
2741 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2744 //AliInfo("Passed chi2 filter.");
2746 // try attaching clusters to tracklets
2748 AliTRDcluster *cl = NULL;
2749 for(int iLayer=0; iLayer<kNSeedPlanes; iLayer++){
2750 Int_t jLayer = planes[iLayer];
2751 Int_t nNotInChamber = 0;
2752 if(!cseed[jLayer].AttachClusters(stack[jLayer], kTRUE)) continue;
2753 if(/*fkReconstructor->IsHLT()*/kFALSE){
2754 cseed[jLayer].UpdateUsed();
2755 if(!cseed[jLayer].IsOK()) continue;
2757 cseed[jLayer].Fit();
2758 cseed[jLayer].UpdateUsed();
2759 cseed[jLayer].ResetClusterIter();
2760 while((cl = cseed[jLayer].NextCluster())){
2761 if(!cl->IsInChamber()) nNotInChamber++;
2763 //printf("clusters[%d], used[%d], not in chamber[%d]\n", cseed[jLayer].GetN(), cseed[jLayer].GetNUsed(), nNotInChamber);
2764 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
2769 if(mlayers < kNSeedPlanes){
2770 AliDebug(2, Form("Found only %d tracklets out of %d. Skip.", mlayers, kNSeedPlanes));
2771 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2775 // temporary exit door for the HLT
2776 if(fkReconstructor->IsHLT()){
2777 // attach clusters to extrapolation chambers
2778 for(int iLayer=0; iLayer<kNPlanes-kNSeedPlanes; iLayer++){
2779 Int_t jLayer = planesExt[iLayer];
2780 if(!(chamber = stack[jLayer])) continue;
2781 if(!cseed[jLayer].AttachClusters(chamber, kTRUE)) continue;
2782 cseed[jLayer].Fit();
2784 fTrackQuality[ntracks] = 1.; // dummy value
2786 if(ntracks == kMaxTracksStack) return ntracks;
2792 // Update Seeds and calculate Likelihood
2793 // fit tracklets and cook likelihood
2794 Double_t chi2Vals[4];
2795 chi2Vals[0] = FitTiltedRieman(&cseed[0], kTRUE);
2796 for(int iLayer=0; iLayer<kNSeedPlanes; iLayer++){
2797 Int_t jLayer = planes[iLayer];
2798 cseed[jLayer].Fit(kTRUE);
2800 Double_t like = CookLikelihood(&cseed[0], planes); // to be checked
2802 if (TMath::Log(1.E-9 + like) < fkRecoParam->GetTrackLikelihood()){
2803 AliDebug(3, Form("Filter on likelihood %f[%e].", TMath::Log(1.E-9 + like), like));
2804 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2807 //AliInfo(Form("Passed likelihood %f[%e].", TMath::Log(1.E-9 + like), like));
2809 // book preliminary results
2810 seedQuality[ntracks] = like;
2811 fSeedLayer[ntracks] = config;/*sLayer;*/
2813 // attach clusters to the extrapolation seeds
2815 for(int iLayer=0; iLayer<kNPlanes-kNSeedPlanes; iLayer++){
2816 Int_t jLayer = planesExt[iLayer];
2817 if(!(chamber = stack[jLayer])) continue;
2819 // fit extrapolated seed
2820 if ((jLayer == 0) && !(cseed[1].IsOK())) continue;
2821 if ((jLayer == 5) && !(cseed[4].IsOK())) continue;
2822 AliTRDseedV1 pseed = cseed[jLayer];
2823 if(!pseed.AttachClusters(chamber, kTRUE)) continue;
2825 cseed[jLayer] = pseed;
2826 chi2Vals[0] = FitTiltedRieman(cseed, kTRUE);
2827 cseed[jLayer].Fit(kTRUE);
2831 // AliInfo("Extrapolation done.");
2832 // Debug Stream containing all the 6 tracklets
2833 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) >= 2 && fkReconstructor->IsDebugStreaming()){
2834 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
2835 TLinearFitter *tiltedRieman = GetTiltedRiemanFitter();
2836 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
2837 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
2838 cstreamer << "MakeSeeds1"
2839 << "EventNumber=" << eventNumber
2840 << "CandidateNumber=" << candidateNumber
2841 << "S0.=" << &cseed[0]
2842 << "S1.=" << &cseed[1]
2843 << "S2.=" << &cseed[2]
2844 << "S3.=" << &cseed[3]
2845 << "S4.=" << &cseed[4]
2846 << "S5.=" << &cseed[5]
2847 << "FitterT.=" << tiltedRieman
2851 if(fkRecoParam->HasImproveTracklets()){
2852 if(!ImproveSeedQuality(stack, cseed, chi2Vals[0])){
2853 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2854 AliDebug(3, "ImproveSeedQuality() failed.");
2858 // do track fitting with vertex constraint
2859 if(fkRecoParam->IsVertexConstrained()) chi2Vals[1] = FitTiltedRiemanConstraint(&cseed[0], GetZ());
2860 else chi2Vals[1] = -1.;
2861 chi2Vals[2] = GetChi2Z(&cseed[0]);
2862 chi2Vals[3] = GetChi2Phi(&cseed[0]);
2864 // calculate track quality
2865 fTrackQuality[ntracks] = CalculateTrackLikelihood(&chi2Vals[0]);
2867 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) >= 2 && fkReconstructor->IsDebugStreaming()){
2868 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
2869 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
2870 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
2871 TLinearFitter *fitterTC = GetTiltedRiemanFitterConstraint();
2872 TLinearFitter *fitterT = GetTiltedRiemanFitter();
2874 for(Int_t iseed = 0; iseed < kNPlanes; iseed++){
2875 ncls += cseed[iseed].IsOK() ? cseed[iseed].GetN2() : 0;
2877 cstreamer << "MakeSeeds2"
2878 << "EventNumber=" << eventNumber
2879 << "CandidateNumber=" << candidateNumber
2880 << "Chi2TR=" << chi2Vals[0]
2881 << "Chi2TC=" << chi2Vals[1]
2882 << "Nlayers=" << mlayers
2883 << "NClusters=" << ncls
2885 << "S0.=" << &cseed[0]
2886 << "S1.=" << &cseed[1]
2887 << "S2.=" << &cseed[2]
2888 << "S3.=" << &cseed[3]
2889 << "S4.=" << &cseed[4]
2890 << "S5.=" << &cseed[5]
2891 << "FitterT.=" << fitterT
2892 << "FitterTC.=" << fitterTC
2895 if(AliLog::GetDebugLevel("TRD", "AliTRDtrackerV1")){
2896 Double_t pt[]={0., 0.};
2897 for(Int_t il(0); il<kNPlanes; il++){
2898 if(!cseed[il].IsOK()) continue;
2899 pt[0] = GetBz()*kB2C/cseed[il].GetC();
2900 pt[1] = GetBz()*kB2C/cseed[il].GetC(1);
2903 AliDebug(2, Form("Candidate[%2d] pt[%7.3f %7.3f] Q[%e]\n"
2904 " [0] x[%6.2f] n[%2d] nu[%d] OK[%c]\n"
2905 " [1] x[%6.2f] n[%2d] nu[%d] OK[%c]\n"
2906 " [2] x[%6.2f] n[%2d] nu[%d] OK[%c]\n"
2907 " [3] x[%6.2f] n[%2d] nu[%d] OK[%c]\n"
2908 " [4] x[%6.2f] n[%2d] nu[%d] OK[%c]\n"
2909 " [5] x[%6.2f] n[%2d] nu[%d] OK[%c]"
2910 , ntracks, pt[0], pt[1], fTrackQuality[ntracks]
2911 ,cseed[0].GetX(), cseed[0].GetN(), cseed[0].GetNUsed(), cseed[0].IsOK()?'y':'n'
2912 ,cseed[1].GetX(), cseed[1].GetN(), cseed[1].GetNUsed(), cseed[1].IsOK()?'y':'n'
2913 ,cseed[2].GetX(), cseed[2].GetN(), cseed[2].GetNUsed(), cseed[2].IsOK()?'y':'n'
2914 ,cseed[3].GetX(), cseed[3].GetN(), cseed[3].GetNUsed(), cseed[3].IsOK()?'y':'n'
2915 ,cseed[4].GetX(), cseed[4].GetN(), cseed[4].GetNUsed(), cseed[4].IsOK()?'y':'n'
2916 ,cseed[5].GetX(), cseed[5].GetN(), cseed[5].GetNUsed(), cseed[5].IsOK()?'y':'n'));
2919 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2920 if(ntracks == kMaxTracksStack){
2921 AliWarning(Form("Number of seeds reached maximum allowed (%d) in stack.", kMaxTracksStack));
2932 //_____________________________________________________________________________
2933 AliTRDtrackV1* AliTRDtrackerV1::MakeTrack(AliTRDseedV1 * const tracklet)
2936 // Build a TRD track out of tracklet candidates
2939 // seeds : array of tracklets
2940 // params : array of track parameters as they are estimated by stand alone tracker. 7 elements.
2941 // [0] - radial position of the track at reference point
2942 // [1] - y position of the fit at [0]
2943 // [2] - z position of the fit at [0]
2944 // [3] - snp of the first tracklet
2945 // [4] - tgl of the first tracklet
2946 // [5] - curvature of the Riemann fit - 1/pt
2947 // [6] - sector rotation angle
2952 // Initialize the TRD track based on the parameters of the fit and a parametric covariance matrix
2953 // (diagonal with constant variance terms TODO - correct parameterization)
2955 // In case of HLT just register the tracklets in the tracker and return values of the Riemann fit. For the
2956 // offline case perform a full Kalman filter on the already found tracklets (see AliTRDtrackerV1::FollowBackProlongation()
2957 // for details). Do also MC label calculation and PID if propagation successfully.
2960 Double_t alpha = AliTRDgeometry::GetAlpha();
2961 Double_t shift = AliTRDgeometry::GetAlpha()/2.0;
2963 // find first good tracklet
2964 Int_t idx(0); while(idx<kNPlanes && !tracklet[idx].IsOK()) idx++;
2965 if(idx>2){ AliDebug(1, Form("Found suspect track start @ layer idx[%d]\n"
2966 " %c[0] x0[%f] n[%d] nu[%d] OK[%c]\n"
2967 " %c[1] x0[%f] n[%d] nu[%d] OK[%c]\n"
2968 " %c[2] x0[%f] n[%d] nu[%d] OK[%c]\n"
2969 " %c[3] x0[%f] n[%d] nu[%d] OK[%c]\n"
2970 " %c[4] x0[%f] n[%d] nu[%d] OK[%c]\n"
2971 " %c[5] x0[%f] n[%d] nu[%d] OK[%c]"
2973 ,idx==0?'*':' ', tracklet[0].GetX0(), tracklet[0].GetN(), tracklet[0].GetNUsed(), tracklet[0].IsOK()?'y':'n'
2974 ,idx==1?'*':' ', tracklet[1].GetX0(), tracklet[1].GetN(), tracklet[1].GetNUsed(), tracklet[1].IsOK()?'y':'n'
2975 ,idx==2?'*':' ', tracklet[2].GetX0(), tracklet[2].GetN(), tracklet[2].GetNUsed(), tracklet[2].IsOK()?'y':'n'
2976 ,idx==3?'*':' ', tracklet[3].GetX0(), tracklet[3].GetN(), tracklet[3].GetNUsed(), tracklet[3].IsOK()?'y':'n'
2977 ,idx==4?'*':' ', tracklet[4].GetX0(), tracklet[4].GetN(), tracklet[4].GetNUsed(), tracklet[4].IsOK()?'y':'n'
2978 ,idx==5?'*':' ', tracklet[5].GetX0(), tracklet[5].GetN(), tracklet[5].GetNUsed(), tracklet[5].IsOK()?'y':'n'));
2983 Double_t x(tracklet[idx].GetX0() - dx);
2984 // Build track parameters
2985 Double_t params[] = {
2986 tracklet[idx].GetYref(0) - dx*tracklet[idx].GetYref(1) // y
2987 ,tracklet[idx].GetZref(0) - dx*tracklet[idx].GetZref(1) // z
2988 ,TMath::Sin(TMath::ATan(tracklet[idx].GetYref(1))) // snp
2989 ,tracklet[idx].GetZref(1) / TMath::Sqrt(1. + tracklet[idx].GetYref(1) * tracklet[idx].GetYref(1)) // tgl
2990 ,tracklet[idx].GetC(fkReconstructor->IsHLT()?1:0) // curvature -> 1/pt
2992 Int_t sector(fGeom->GetSector(tracklet[idx].GetDetector()));
2995 c[ 0] = 0.2; // s^2_y
2996 c[ 1] = 0.0; c[ 2] = 2.0; // s^2_z
2997 c[ 3] = 0.0; c[ 4] = 0.0; c[ 5] = 0.02; // s^2_snp
2998 c[ 6] = 0.0; c[ 7] = 0.0; c[ 8] = 0.0; c[ 9] = 0.1; // s^2_tgl
2999 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
3001 AliTRDtrackV1 track(tracklet, params, c, x, sector*alpha+shift);
3003 AliTRDseedV1 *ptrTracklet = NULL;
3005 // skip Kalman filter for HLT
3006 if(/*fkReconstructor->IsHLT()*/kFALSE){
3007 for (Int_t jLayer = 0; jLayer < AliTRDgeometry::kNlayer; jLayer++) {
3008 track.UnsetTracklet(jLayer);
3009 ptrTracklet = &tracklet[jLayer];
3010 if(!ptrTracklet->IsOK()) continue;
3011 if(TMath::Abs(ptrTracklet->GetYref(1) - ptrTracklet->GetYfit(1)) >= .2) continue; // check this condition with Marian
3012 ptrTracklet = SetTracklet(ptrTracklet);
3013 ptrTracklet->UseClusters();
3014 track.SetTracklet(ptrTracklet, fTracklets->GetEntriesFast()-1);
3016 AliTRDtrackV1 *ptrTrack = SetTrack(&track);
3017 ptrTrack->CookPID();
3018 ptrTrack->CookLabel(.9);
3019 ptrTrack->SetReconstructor(fkReconstructor);
3023 // prevent the error message in AliTracker::MeanMaterialBudget: "start point out of geometry"
3024 if(TMath::Abs(track.GetX()) + TMath::Abs(track.GetY()) + TMath::Abs(track.GetZ()) > 10000) return NULL;
3026 track.ResetCovariance(1);
3027 Int_t nc = TMath::Abs(FollowBackProlongation(track));
3028 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 5 && fkReconstructor->IsDebugStreaming()){
3029 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
3030 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
3031 Double_t p[5]; // Track Params for the Debug Stream
3032 track.GetExternalParameters(x, p);
3033 TTreeSRedirector &cs = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
3035 << "EventNumber=" << eventNumber
3036 << "CandidateNumber=" << candidateNumber
3044 << "Yin=" << params[0]
3045 << "Zin=" << params[1]
3046 << "snpin=" << params[2]
3047 << "tndin=" << params[3]
3048 << "crvin=" << params[4]
3049 << "track.=" << &track
3053 UnsetTrackletsTrack(&track);
3056 AliTRDtrackV1 *ptrTrack = SetTrack(&track);
3057 ptrTrack->SetReconstructor(fkReconstructor);
3058 ptrTrack->CookLabel(.9);
3059 for(Int_t il(kNPlanes); il--;){
3060 if(!(ptrTracklet = ptrTrack->GetTracklet(il))) continue;
3061 ptrTracklet->UseClusters();
3064 // computes PID for track
3065 ptrTrack->CookPID();
3066 // update calibration references using this track
3067 AliTRDCalibraFillHisto *calibra = AliTRDCalibraFillHisto::Instance();
3069 AliInfo("Could not get Calibra instance\n");
3070 if(calibra->GetHisto2d()) calibra->UpdateHistogramsV1(ptrTrack);
3076 //____________________________________________________________________
3077 Bool_t AliTRDtrackerV1::ImproveSeedQuality(AliTRDtrackingChamber **stack, AliTRDseedV1 *cseed, Double_t &chi2)
3080 // Sort tracklets according to "quality" and try to "improve" the first 4 worst
3083 // layers : Array of propagation layers for a stack/supermodule
3084 // cseed : Array of 6 seeding tracklets which has to be improved
3087 // cssed : Improved seeds
3089 // Detailed description
3091 // Iterative procedure in which new clusters are searched for each
3092 // tracklet seed such that the seed quality (see AliTRDseed::GetQuality())
3093 // can be maximized. If some optimization is found the old seeds are replaced.
3098 // make a local working copy
3099 AliTRDtrackingChamber *chamber = NULL;
3100 AliTRDseedV1 bseed[AliTRDgeometry::kNlayer];
3102 Float_t quality(1.e3),
3103 lQuality[] = {1.e3, 1.e3, 1.e3, 1.e3, 1.e3, 1.e3};
3105 for(Int_t jLayer=AliTRDgeometry::kNlayer; jLayer--;){
3106 bseed[jLayer] = cseed[jLayer];
3107 if(!bseed[jLayer].IsOK()) continue;
3109 lQuality[jLayer] = bseed[jLayer].GetQuality(kTRUE);
3110 quality += lQuality[jLayer];
3113 AliDebug(2, Form("Start N[%d] Q[%f] chi2[%f]", rLayers, quality, chi2));
3115 for (Int_t iter = 0; iter < 4; iter++) {
3116 // Try better cluster set
3117 Int_t nLayers(0); Float_t qualitynew(0.);
3119 TMath::Sort(Int_t(AliTRDgeometry::kNlayer), lQuality, indexes, kFALSE);
3120 for(Int_t jLayer=AliTRDgeometry::kNlayer; jLayer--;) {
3121 Int_t bLayer = indexes[jLayer];
3122 bseed[bLayer].Reset("c");
3123 if(!(chamber = stack[bLayer])) continue;
3124 if(!bseed[bLayer].AttachClusters(chamber, kTRUE)) continue;
3125 bseed[bLayer].Fit(kTRUE);
3126 if(!bseed[bLayer].IsOK()) continue;
3128 lQuality[jLayer] = bseed[jLayer].GetQuality(kTRUE);
3129 qualitynew += lQuality[jLayer];
3131 if(rLayers > nLayers){
3132 AliDebug(1, Form("Lost %d tracklets while improving.", rLayers-nLayers));
3133 return iter>0?kTRUE:kFALSE;
3134 } else rLayers=nLayers;
3135 qualitynew /= rLayers;
3137 if(qualitynew > quality){
3138 AliDebug(4, Form("Quality[%f] worsen in iter[%d] to ref[%f].", qualitynew, iter, quality));
3139 return iter>0?kTRUE:kFALSE;
3140 } else quality = qualitynew;
3142 // try improve track parameters
3143 Float_t chi2new = FitTiltedRieman(bseed, kTRUE);
3145 AliDebug(4, Form("Chi2[%f] worsen in iter[%d] to ref[%f].", chi2new, iter, chi2));
3146 return iter>0?kTRUE:kFALSE;
3147 } else chi2 = chi2new;
3149 // store better tracklets
3150 for(Int_t jLayer=AliTRDgeometry::kNlayer; jLayer--;) cseed[jLayer]=bseed[jLayer];
3151 AliDebug(2, Form("Iter[%d] Q[%f] chi2[%f]", iter, quality, chi2));
3154 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) >= 7 && fkReconstructor->IsDebugStreaming()){
3155 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
3156 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
3157 TLinearFitter *tiltedRieman = GetTiltedRiemanFitter();
3158 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
3159 cstreamer << "ImproveSeedQuality"
3160 << "EventNumber=" << eventNumber
3161 << "CandidateNumber=" << candidateNumber
3162 << "Iteration=" << iter
3163 << "S0.=" << &cseed[0]
3164 << "S1.=" << &cseed[1]
3165 << "S2.=" << &cseed[2]
3166 << "S3.=" << &cseed[3]
3167 << "S4.=" << &cseed[4]
3168 << "S5.=" << &cseed[5]
3169 << "FitterT.=" << tiltedRieman
3174 // we are sure that at least 4 tracklets are OK !
3178 //_________________________________________________________________________
3179 Double_t AliTRDtrackerV1::CalculateTrackLikelihood(Double_t *chi2){
3181 // Calculates the Track Likelihood value. This parameter serves as main quality criterion for
3182 // the track selection
3183 // The likelihood value containes:
3184 // - The chi2 values from the both fitters and the chi2 values in z-direction from a linear fit
3185 // - The Sum of the Parameter |slope_ref - slope_fit|/Sigma of the tracklets
3186 // For all Parameters an exponential dependency is used
3188 // Parameters: - Array of tracklets (AliTRDseedV1) related to the track candidate
3189 // - Array of chi2 values:
3190 // * Non-Constrained Tilted Riemann fit
3191 // * Vertex-Constrained Tilted Riemann fit
3192 // * z-Direction from Linear fit
3193 // Output: - The calculated track likelihood
3198 // Non-constrained Tilted Riemann
3199 Double_t likeChi2TR = TMath::Exp(-chi2[0] * 0.0078);
3200 // Constrained Tilted Riemann
3201 Double_t likeChi2TC(1.);
3203 likeChi2TC = TMath::Exp(-chi2[1] * 0.677);
3204 Double_t r = likeChi2TC/likeChi2TR;
3205 if(r>1.e2){;} // -> a primary track use TC
3206 else if(r<1.e2) // -> a secondary track use TR
3208 else{;} // -> test not conclusive
3210 // Chi2 only on Z direction
3211 Double_t likeChi2Z = TMath::Exp(-chi2[2] * 0.14);
3212 // Chi2 angular resolution
3213 Double_t likeChi2Phi= TMath::Exp(-chi2[3] * 3.23);
3215 Double_t trackLikelihood = likeChi2Z * likeChi2TR * likeChi2TC * likeChi2Phi;
3217 AliDebug(2, Form("Likelihood [%e]\n"
3218 " Rieman : chi2[%f] likelihood[%6.2e]\n"
3219 " Vertex : chi2[%f] likelihood[%6.2e]\n"
3220 " Z : chi2[%f] likelihood[%6.2e]\n"
3221 " Phi : chi2[%f] likelihood[%6.2e]"
3223 , chi2[0], likeChi2TR
3224 , chi2[1], likeChi2TC
3225 , chi2[2], likeChi2Z
3226 , chi2[3], likeChi2Phi
3229 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) >= 2 && fkReconstructor->IsDebugStreaming()){
3230 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
3231 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
3232 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
3233 cstreamer << "CalculateTrackLikelihood0"
3234 << "EventNumber=" << eventNumber
3235 << "CandidateNumber=" << candidateNumber
3236 << "LikeChi2Z=" << likeChi2Z
3237 << "LikeChi2TR=" << likeChi2TR
3238 << "LikeChi2TC=" << likeChi2TC
3239 << "LikeChi2Phi=" << likeChi2Phi
3240 << "TrackLikelihood=" << trackLikelihood
3244 return trackLikelihood;
3247 //____________________________________________________________________
3248 Double_t AliTRDtrackerV1::CookLikelihood(AliTRDseedV1 *cseed, Int_t planes[4])
3251 // Calculate the probability of this track candidate.
3254 // cseeds : array of candidate tracklets
3255 // planes : array of seeding planes (see seeding configuration)
3256 // chi2 : chi2 values (on the Z and Y direction) from the rieman fit of the track.
3261 // Detailed description
3263 // The track quality is estimated based on the following 4 criteria:
3264 // 1. precision of the rieman fit on the Y direction (likea)
3265 // 2. chi2 on the Y direction (likechi2y)
3266 // 3. chi2 on the Z direction (likechi2z)
3267 // 4. number of attached clusters compared to a reference value
3268 // (see AliTRDrecoParam::fkFindable) (likeN)
3270 // The distributions for each type of probabilities are given below as of
3271 // (date). They have to be checked to assure consistency of estimation.
3274 // ratio of the total number of clusters/track which are expected to be found by the tracker.
3275 Double_t chi2y = GetChi2Y(&cseed[0]);
3276 Double_t chi2z = GetChi2Z(&cseed[0]);
3278 Float_t nclusters = 0.;
3279 Double_t sumda = 0.;
3280 for(UChar_t ilayer = 0; ilayer < 4; ilayer++){
3281 Int_t jlayer = planes[ilayer];
3282 nclusters += cseed[jlayer].GetN2();
3283 sumda += TMath::Abs(cseed[jlayer].GetYfit(1) - cseed[jlayer].GetYref(1));
3287 Double_t likea = TMath::Exp(-sumda * fkRecoParam->GetPhiSlope());
3288 Double_t likechi2y = 0.0000000001;
3289 if (fkReconstructor->IsCosmic() || chi2y < fkRecoParam->GetChi2YCut()) likechi2y += TMath::Exp(-TMath::Sqrt(chi2y) * fkRecoParam->GetChi2YSlope());
3290 Double_t likechi2z = TMath::Exp(-chi2z * fkRecoParam->GetChi2ZSlope());
3291 Double_t likeN = TMath::Exp(-(fkRecoParam->GetNMeanClusters() - nclusters) / fkRecoParam->GetNSigmaClusters());
3292 Double_t like = likea * likechi2y * likechi2z * likeN;
3294 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) >= 2 && fkReconstructor->IsDebugStreaming()){
3295 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
3296 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
3297 Int_t nTracklets = 0; Float_t meanNcls = 0;
3298 for(Int_t iseed=0; iseed < kNPlanes; iseed++){
3299 if(!cseed[iseed].IsOK()) continue;
3301 meanNcls += cseed[iseed].GetN2();
3303 if(nTracklets) meanNcls /= nTracklets;
3304 // The Debug Stream contains the seed
3305 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
3306 cstreamer << "CookLikelihood"
3307 << "EventNumber=" << eventNumber
3308 << "CandidateNumber=" << candidateNumber
3309 << "tracklet0.=" << &cseed[0]
3310 << "tracklet1.=" << &cseed[1]
3311 << "tracklet2.=" << &cseed[2]
3312 << "tracklet3.=" << &cseed[3]
3313 << "tracklet4.=" << &cseed[4]
3314 << "tracklet5.=" << &cseed[5]
3315 << "sumda=" << sumda
3316 << "chi2y=" << chi2y
3317 << "chi2z=" << chi2z
3318 << "likea=" << likea
3319 << "likechi2y=" << likechi2y
3320 << "likechi2z=" << likechi2z
3321 << "nclusters=" << nclusters
3322 << "likeN=" << likeN
3324 << "meanncls=" << meanNcls
3331 //____________________________________________________________________
3332 void AliTRDtrackerV1::GetSeedingConfig(Int_t iconfig, Int_t planes[4])
3335 // Map seeding configurations to detector planes.
3338 // iconfig : configuration index
3339 // planes : member planes of this configuration. On input empty.
3342 // planes : contains the planes which are defining the configuration
3344 // Detailed description
3346 // Here is the list of seeding planes configurations together with
3347 // their topological classification:
3365 // The topologic quality is modeled as follows:
3366 // 1. The general model is define by the equation:
3367 // p(conf) = exp(-conf/2)
3368 // 2. According to the topologic classification, configurations from the same
3369 // class are assigned the agerage value over the model values.
3370 // 3. Quality values are normalized.
3372 // The topologic quality distribution as function of configuration is given below:
3374 // <img src="gif/topologicQA.gif">
3379 case 0: // 5432 TQ 0
3385 case 1: // 4321 TQ 0
3391 case 2: // 3210 TQ 0
3397 case 3: // 5321 TQ 1
3403 case 4: // 4210 TQ 1
3409 case 5: // 5431 TQ 1
3415 case 6: // 4320 TQ 1
3421 case 7: // 5430 TQ 2
3427 case 8: // 5210 TQ 2
3433 case 9: // 5421 TQ 3
3439 case 10: // 4310 TQ 3
3445 case 11: // 5410 TQ 4
3451 case 12: // 5420 TQ 5
3457 case 13: // 5320 TQ 5
3463 case 14: // 5310 TQ 5
3472 //____________________________________________________________________
3473 void AliTRDtrackerV1::GetExtrapolationConfig(Int_t iconfig, Int_t planes[2])
3476 // Returns the extrapolation planes for a seeding configuration.
3479 // iconfig : configuration index
3480 // planes : planes which are not in this configuration. On input empty.
3483 // planes : contains the planes which are not in the configuration
3485 // Detailed description
3489 case 0: // 5432 TQ 0
3493 case 1: // 4321 TQ 0
3497 case 2: // 3210 TQ 0
3501 case 3: // 5321 TQ 1
3505 case 4: // 4210 TQ 1
3509 case 5: // 5431 TQ 1
3513 case 6: // 4320 TQ 1
3517 case 7: // 5430 TQ 2
3521 case 8: // 5210 TQ 2
3525 case 9: // 5421 TQ 3
3529 case 10: // 4310 TQ 3
3533 case 11: // 5410 TQ 4
3537 case 12: // 5420 TQ 5
3541 case 13: // 5320 TQ 5
3545 case 14: // 5310 TQ 5
3552 //____________________________________________________________________
3553 AliCluster* AliTRDtrackerV1::GetCluster(Int_t idx) const
3555 if(!fClusters) return NULL;
3556 Int_t ncls = fClusters->GetEntriesFast();
3557 return idx >= 0 && idx < ncls ? (AliCluster*)fClusters->UncheckedAt(idx) : NULL;
3560 //____________________________________________________________________
3561 AliTRDseedV1* AliTRDtrackerV1::GetTracklet(Int_t idx) const
3563 if(!fTracklets) return NULL;
3564 Int_t ntrklt = fTracklets->GetEntriesFast();
3565 return idx >= 0 && idx < ntrklt ? (AliTRDseedV1*)fTracklets->UncheckedAt(idx) : NULL;
3568 //____________________________________________________________________
3569 AliKalmanTrack* AliTRDtrackerV1::GetTrack(Int_t idx) const
3571 if(!fTracks) return NULL;
3572 Int_t ntrk = fTracks->GetEntriesFast();
3573 return idx >= 0 && idx < ntrk ? (AliKalmanTrack*)fTracks->UncheckedAt(idx) : NULL;
3578 // //_____________________________________________________________________________
3579 // Int_t AliTRDtrackerV1::Freq(Int_t n, const Int_t *inlist
3580 // , Int_t *outlist, Bool_t down)
3583 // // Sort eleements according occurancy
3584 // // The size of output array has is 2*n
3591 // Int_t *sindexS = new Int_t[n]; // Temporary array for sorting
3592 // Int_t *sindexF = new Int_t[2*n];
3593 // for (Int_t i = 0; i < n; i++) {
3597 // TMath::Sort(n,inlist,sindexS,down);
3599 // Int_t last = inlist[sindexS[0]];
3600 // Int_t val = last;
3602 // sindexF[0+n] = last;
3603 // Int_t countPos = 0;
3605 // // Find frequency
3606 // for (Int_t i = 1; i < n; i++) {
3607 // val = inlist[sindexS[i]];
3608 // if (last == val) {
3609 // sindexF[countPos]++;
3613 // sindexF[countPos+n] = val;
3614 // sindexF[countPos]++;
3618 // if (last == val) {
3622 // // Sort according frequency
3623 // TMath::Sort(countPos,sindexF,sindexS,kTRUE);
3625 // for (Int_t i = 0; i < countPos; i++) {
3626 // outlist[2*i ] = sindexF[sindexS[i]+n];
3627 // outlist[2*i+1] = sindexF[sindexS[i]];
3630 // delete [] sindexS;
3631 // delete [] sindexF;
3638 //____________________________________________________________________
3639 void AliTRDtrackerV1::ResetSeedTB()
3641 // reset buffer for seeding time bin layers. If the time bin
3642 // layers are not allocated this function allocates them
3644 for(Int_t isl=0; isl<kNSeedPlanes; isl++){
3645 if(!fSeedTB[isl]) fSeedTB[isl] = new AliTRDchamberTimeBin();
3646 else fSeedTB[isl]->Clear();
3651 //_____________________________________________________________________________
3652 Float_t AliTRDtrackerV1::GetChi2Y(const AliTRDseedV1 * const tracklets) const
3654 // Calculates normalized chi2 in y-direction
3655 // chi2 = Sum chi2 / n_tracklets
3657 Double_t chi2 = 0.; Int_t n = 0;
3658 for(Int_t ipl = kNPlanes; ipl--;){
3659 if(!tracklets[ipl].IsOK()) continue;
3660 chi2 += tracklets[ipl].GetChi2Y();
3663 return n ? chi2/n : 0.;
3666 //_____________________________________________________________________________
3667 Float_t AliTRDtrackerV1::GetChi2Z(const AliTRDseedV1 *const tracklets) const
3669 // Calculates normalized chi2 in z-direction
3670 // chi2 = Sum chi2 / n_tracklets
3672 Double_t chi2 = 0; Int_t n = 0;
3673 for(Int_t ipl = kNPlanes; ipl--;){
3674 if(!tracklets[ipl].IsOK()) continue;
3675 chi2 += tracklets[ipl].GetChi2Z();
3678 return n ? chi2/n : 0.;
3681 //_____________________________________________________________________________
3682 Float_t AliTRDtrackerV1::GetChi2Phi(const AliTRDseedV1 *const tracklets) const
3684 // Calculates normalized chi2 for angular resolution
3685 // chi2 = Sum chi2 / n_tracklets
3687 Double_t chi2 = 0; Int_t n = 0;
3688 for (Int_t iLayer = 0; iLayer < kNPlanes; iLayer++) {
3689 if(!tracklets[iLayer].IsOK()) continue;
3690 chi2 += tracklets[iLayer].GetChi2Phi();
3693 return n ? chi2/n: 0.;
3696 //____________________________________________________________________
3697 Float_t AliTRDtrackerV1::CalculateReferenceX(const AliTRDseedV1 *const tracklets){
3699 // Calculates the reference x-position for the tilted Rieman fit defined as middle
3700 // of the stack (middle between layers 2 and 3). For the calculation all the tracklets
3701 // are taken into account
3703 // Parameters: - Array of tracklets(AliTRDseedV1)
3705 // Output: - The reference x-position(Float_t)
3706 // Only kept for compatibility with the old code
3708 Int_t nDistances = 0;
3709 Float_t meanDistance = 0.;
3710 Int_t startIndex = 5;
3711 for(Int_t il =5; il > 0; il--){
3712 if(tracklets[il].IsOK() && tracklets[il -1].IsOK()){
3713 Float_t xdiff = tracklets[il].GetX0() - tracklets[il -1].GetX0();
3714 meanDistance += xdiff;
3717 if(tracklets[il].IsOK()) startIndex = il;
3719 if(tracklets[0].IsOK()) startIndex = 0;
3721 // We should normally never get here
3722 Float_t xpos[2]; memset(xpos, 0, sizeof(Float_t) * 2);
3723 Int_t iok = 0, idiff = 0;
3724 // This attempt is worse and should be avoided:
3725 // check for two chambers which are OK and repeat this without taking the mean value
3726 // Strategy avoids a division by 0;
3727 for(Int_t il = 5; il >= 0; il--){
3728 if(tracklets[il].IsOK()){
3729 xpos[iok] = tracklets[il].GetX0();
3733 if(iok) idiff++; // to get the right difference;
3737 meanDistance = (xpos[0] - xpos[1])/idiff;
3740 // we have do not even have 2 layers which are OK? The we do not need to fit at all
3745 meanDistance /= nDistances;
3747 return tracklets[startIndex].GetX0() + (2.5 - startIndex) * meanDistance - 0.5 * (AliTRDgeometry::AmThick() + AliTRDgeometry::DrThick());
3750 //_____________________________________________________________________________
3751 Double_t AliTRDtrackerV1::FitTiltedRiemanV1(AliTRDseedV1 *const tracklets){
3753 // Track Fitter Function using the new class implementation of
3756 AliTRDtrackFitterRieman fitter;
3757 fitter.SetRiemanFitter(GetTiltedRiemanFitter());
3759 for(Int_t il = 0; il < AliTRDgeometry::kNlayer; il++) fitter.SetTracklet(il, &tracklets[il]);
3760 Double_t chi2 = fitter.Eval();
3761 // Update the tracklets
3762 Double_t cov[15]; Double_t x0;
3763 memset(cov, 0, sizeof(Double_t) * 15);
3764 for(Int_t il = 0; il < AliTRDgeometry::kNlayer; il++){
3765 x0 = tracklets[il].GetX0();
3766 tracklets[il].SetYref(0, fitter.GetYat(x0));
3767 tracklets[il].SetZref(0, fitter.GetZat(x0));
3768 tracklets[il].SetYref(1, fitter.GetDyDxAt(x0));
3769 tracklets[il].SetZref(1, fitter.GetDzDx());
3770 tracklets[il].SetC(fitter.GetCurvature());
3771 fitter.GetCovAt(x0, cov);
3772 tracklets[il].SetCovRef(cov);
3773 tracklets[il].SetChi2(chi2);
3778 //____________________________________________________________________
3779 void AliTRDtrackerV1::UnsetTrackletsTrack(const AliTRDtrackV1 * const track)
3782 for(Int_t il(0); il<kNPlanes; il++){
3783 if((idx = track->GetTrackletIndex(il)) < 0) continue;
3784 delete (fTracklets->RemoveAt(idx));
3789 ///////////////////////////////////////////////////////
3791 // Resources of class AliTRDLeastSquare //
3793 ///////////////////////////////////////////////////////
3795 //_____________________________________________________________________________
3796 AliTRDtrackerV1::AliTRDLeastSquare::AliTRDLeastSquare(){
3798 // Constructor of the nested class AliTRDtrackFitterLeastSquare
3800 // Fast solving linear regresion in 2D
3802 // The data members have the following meaning
3813 // fCovarianceMatrix[0] : s2a
3814 // fCovarianceMatrix[1] : s2b
3815 // fCovarianceMatrix[2] : cov(ab)
3817 memset(fParams, 0, sizeof(Double_t) * 2);
3818 memset(fSums, 0, sizeof(Double_t) * 6);
3819 memset(fCovarianceMatrix, 0, sizeof(Double_t) * 3);
3823 //_____________________________________________________________________________
3824 void AliTRDtrackerV1::AliTRDLeastSquare::AddPoint(const Double_t *const x, Double_t y, Double_t sigmaY){
3826 // Adding Point to the fitter
3829 Double_t weight = 1/(sigmaY > 1e-9 ? sigmaY : 1e-9);
3831 const Double_t &xpt = *x;
3832 // printf("Adding point x = %f, y = %f, sigma = %f\n", xpt, y, sigmaY);
3834 fSums[1] += weight * xpt;
3835 fSums[2] += weight * y;
3836 fSums[3] += weight * xpt * y;
3837 fSums[4] += weight * xpt * xpt;
3838 fSums[5] += weight * y * y;
3841 //_____________________________________________________________________________
3842 void AliTRDtrackerV1::AliTRDLeastSquare::RemovePoint(const Double_t *const x, Double_t y, Double_t sigmaY){
3844 // Remove Point from the sample
3847 Double_t weight = 1/(sigmaY > 1e-9 ? sigmaY : 1e-9);
3849 const Double_t &xpt = *x;
3851 fSums[1] -= weight * xpt;
3852 fSums[2] -= weight * y;
3853 fSums[3] -= weight * xpt * y;
3854 fSums[4] -= weight * xpt * xpt;
3855 fSums[5] -= weight * y * y;
3858 //_____________________________________________________________________________
3859 Bool_t AliTRDtrackerV1::AliTRDLeastSquare::Eval(){
3861 // Evaluation of the fit:
3862 // Calculation of the parameters
3863 // Calculation of the covariance matrix
3866 Double_t det = fSums[0] * fSums[4] - fSums[1] *fSums[1];
3867 if(det==0) return kFALSE;
3869 // for(Int_t isum = 0; isum < 5; isum++)
3870 // printf("fSums[%d] = %f\n", isum, fSums[isum]);
3871 // printf("denominator = %f\n", denominator);
3872 fParams[0] = (fSums[2] * fSums[4] - fSums[1] * fSums[3])/det;
3873 fParams[1] = (fSums[0] * fSums[3] - fSums[1] * fSums[2])/det;
3874 // printf("fParams[0] = %f, fParams[1] = %f\n", fParams[0], fParams[1]);
3876 // Covariance matrix
3877 Double_t den = fSums[0]*fSums[4] - fSums[1]*fSums[1];
3878 fCovarianceMatrix[0] = fSums[4] / den;
3879 fCovarianceMatrix[1] = fSums[0] / den;
3880 fCovarianceMatrix[2] = -fSums[1] / den;
3881 /* fCovarianceMatrix[0] = fSums[4] / fSums[0] - fSums[1] * fSums[1] / (fSums[0] * fSums[0]);
3882 fCovarianceMatrix[1] = fSums[5] / fSums[0] - fSums[2] * fSums[2] / (fSums[0] * fSums[0]);
3883 fCovarianceMatrix[2] = fSums[3] / fSums[0] - fSums[1] * fSums[2] / (fSums[0] * fSums[0]);*/
3890 //_____________________________________________________________________________
3891 Double_t AliTRDtrackerV1::AliTRDLeastSquare::GetFunctionValue(const Double_t *const xpos) const {
3893 // Returns the Function value of the fitted function at a given x-position
3895 return fParams[0] + fParams[1] * (*xpos);
3898 //_____________________________________________________________________________
3899 void AliTRDtrackerV1::AliTRDLeastSquare::GetCovarianceMatrix(Double_t *storage) const {
3901 // Copies the values of the covariance matrix into the storage
3903 memcpy(storage, fCovarianceMatrix, sizeof(Double_t) * 3);
3906 //_____________________________________________________________________________
3907 void AliTRDtrackerV1::AliTRDLeastSquare::Reset(){
3911 memset(fParams, 0, sizeof(Double_t) * 2);
3912 memset(fCovarianceMatrix, 0, sizeof(Double_t) * 3);
3913 memset(fSums, 0, sizeof(Double_t) * 6);
3916 ///////////////////////////////////////////////////////
3918 // Resources of class AliTRDtrackFitterRieman //
3920 ///////////////////////////////////////////////////////
3922 //_____________________________________________________________________________
3923 AliTRDtrackerV1::AliTRDtrackFitterRieman::AliTRDtrackFitterRieman():
3929 fSysClusterError(0.)
3932 // Default constructor
3934 fZfitter = new AliTRDLeastSquare;
3935 fCovarPolY = new TMatrixD(3,3);
3936 fCovarPolZ = new TMatrixD(2,2);
3937 memset(fTracklets, 0, sizeof(AliTRDseedV1 *) * 6);
3938 memset(fParameters, 0, sizeof(Double_t) * 5);
3939 memset(fSumPolY, 0, sizeof(Double_t) * 5);
3940 memset(fSumPolZ, 0, sizeof(Double_t) * 2);
3943 //_____________________________________________________________________________
3944 AliTRDtrackerV1::AliTRDtrackFitterRieman::~AliTRDtrackFitterRieman(){
3948 if(fZfitter) delete fZfitter;
3949 if(fCovarPolY) delete fCovarPolY;
3950 if(fCovarPolZ) delete fCovarPolZ;
3953 //_____________________________________________________________________________
3954 void AliTRDtrackerV1::AliTRDtrackFitterRieman::Reset(){
3959 fTrackFitter->StoreData(kTRUE);
3960 fTrackFitter->ClearPoints();
3966 memset(fTracklets, 0, sizeof(AliTRDseedV1 *) * AliTRDgeometry::kNlayer);
3967 memset(fParameters, 0, sizeof(Double_t) * 5);
3968 memset(fSumPolY, 0, sizeof(Double_t) * 5);
3969 memset(fSumPolZ, 0, sizeof(Double_t) * 2);
3970 for(Int_t irow = 0; irow < fCovarPolY->GetNrows(); irow++)
3971 for(Int_t icol = 0; icol < fCovarPolY->GetNcols(); icol++){
3972 (*fCovarPolY)(irow, icol) = 0.;
3973 if(irow < 2 && icol < 2)
3974 (*fCovarPolZ)(irow, icol) = 0.;
3978 //_____________________________________________________________________________
3979 void AliTRDtrackerV1::AliTRDtrackFitterRieman::SetTracklet(Int_t itr, AliTRDseedV1 *tracklet){
3981 // Add tracklet into the fitter
3983 if(itr >= AliTRDgeometry::kNlayer) return;
3984 fTracklets[itr] = tracklet;
3987 //_____________________________________________________________________________
3988 Double_t AliTRDtrackerV1::AliTRDtrackFitterRieman::Eval(){
3991 // 1. Apply linear transformation and store points in the fitter
3992 // 2. Evaluate the fit
3993 // 3. Check if the result of the fit in z-direction is reasonable
3995 // 3a. Fix the parameters 3 and 4 with the results of a simple least
3997 // 3b. Redo the fit with the fixed parameters
3998 // 4. Store fit results (parameters and errors)
4003 fXref = CalculateReferenceX();
4004 for(Int_t il = 0; il < AliTRDgeometry::kNlayer; il++) UpdateFitters(fTracklets[il]);
4005 if(!fTrackFitter->GetNpoints()) return 1e10;
4007 fTrackFitter->Eval();
4009 fParameters[3] = fTrackFitter->GetParameter(3);
4010 fParameters[4] = fTrackFitter->GetParameter(4);
4011 if(!CheckAcceptable(fParameters[3], fParameters[4])) {
4012 fTrackFitter->FixParameter(3, fZfitter->GetFunctionValue(&fXref));
4013 fTrackFitter->FixParameter(4, fZfitter->GetFunctionParameter(1));
4014 fTrackFitter->Eval();
4015 fTrackFitter->ReleaseParameter(3);
4016 fTrackFitter->ReleaseParameter(4);
4017 fParameters[3] = fTrackFitter->GetParameter(3);
4018 fParameters[4] = fTrackFitter->GetParameter(4);
4020 // Update the Fit Parameters and the errors
4021 fParameters[0] = fTrackFitter->GetParameter(0);
4022 fParameters[1] = fTrackFitter->GetParameter(1);
4023 fParameters[2] = fTrackFitter->GetParameter(2);
4025 // Prepare Covariance estimation
4026 (*fCovarPolY)(0,0) = fSumPolY[0]; (*fCovarPolY)(1,1) = fSumPolY[2]; (*fCovarPolY)(2,2) = fSumPolY[4];
4027 (*fCovarPolY)(1,0) = (*fCovarPolY)(0,1) = fSumPolY[1];
4028 (*fCovarPolY)(2,0) = (*fCovarPolY)(0,2) = fSumPolY[2];
4029 (*fCovarPolY)(2,1) = (*fCovarPolY)(1,2) = fSumPolY[3];
4030 fCovarPolY->Invert();
4031 (*fCovarPolZ)(0,0) = fSumPolZ[0]; (*fCovarPolZ)(1,1) = fSumPolZ[2];
4032 (*fCovarPolZ)(1,0) = (*fCovarPolZ)(0,1) = fSumPolZ[1];
4033 fCovarPolZ->Invert();
4034 return fTrackFitter->GetChisquare() / fTrackFitter->GetNpoints();
4037 //_____________________________________________________________________________
4038 void AliTRDtrackerV1::AliTRDtrackFitterRieman::UpdateFitters(AliTRDseedV1 * const tracklet){
4040 // Does the transformations and updates the fitters
4041 // The following transformation is applied
4043 AliTRDcluster *cl = NULL;
4044 Double_t x, y, z, dx, t, w, we, yerr, zerr;
4046 if(!tracklet || !tracklet->IsOK()) return;
4047 Double_t tilt = tracklet->GetTilt();
4048 for(Int_t itb = 0; itb < AliTRDseedV1::kNclusters; itb++){
4049 if(!(cl = tracklet->GetClusters(itb))) continue;
4050 if(!cl->IsInChamber()) continue;
4051 if (!tracklet->IsUsable(itb)) continue;
4058 uvt[0] = 2. * x * t;
4060 uvt[2] = 2. * tilt * t;
4061 uvt[3] = 2. * tilt * dx * t;
4062 w = 2. * (y + tilt*z) * t;
4063 // error definition changes for the different calls
4065 we *= TMath::Sqrt(cl->GetSigmaY2()+tilt*tilt*cl->GetSigmaZ2());
4066 // Update sums for error calculation
4067 yerr = 1./(TMath::Sqrt(cl->GetSigmaY2()) + fSysClusterError);
4069 zerr = 1./cl->GetSigmaZ2();
4070 for(Int_t ipol = 0; ipol < 5; ipol++){
4071 fSumPolY[ipol] += yerr;
4074 fSumPolZ[ipol] += zerr;
4078 fTrackFitter->AddPoint(uvt, w, we);
4079 fZfitter->AddPoint(&x, z, static_cast<Double_t>(TMath::Sqrt(cl->GetSigmaZ2())));
4083 //_____________________________________________________________________________
4084 Bool_t AliTRDtrackerV1::AliTRDtrackFitterRieman::CheckAcceptable(Double_t offset, Double_t slope){
4086 // Check whether z-results are acceptable
4087 // Definition: Distance between tracklet fit and track fit has to be
4088 // less then half a padlength
4089 // Point of comparision is at the anode wire
4091 Bool_t acceptablez = kTRUE;
4092 Double_t zref = 0.0;
4093 for (Int_t iLayer = 0; iLayer < kNPlanes; iLayer++) {
4094 if(!fTracklets[iLayer]->IsOK()) continue;
4095 zref = offset + slope * (fTracklets[iLayer]->GetX0() - fXref);
4096 if (TMath::Abs(fTracklets[iLayer]->GetZfit(0) - zref) > fTracklets[iLayer]->GetPadLength() * 0.5 + 1.0)
4097 acceptablez = kFALSE;
4102 //_____________________________________________________________________________
4103 Double_t AliTRDtrackerV1::AliTRDtrackFitterRieman::GetYat(Double_t x) const {
4105 // Calculate y position out of the track parameters
4106 // y: R^2 = (x - x0)^2 + (y - y0)^2
4107 // => y = y0 +/- Sqrt(R^2 - (x - x0)^2)
4108 // R = Sqrt() = 1/Curvature
4109 // => y = y0 +/- Sqrt(1/Curvature^2 - (x - x0)^2)
4112 Double_t disc = (x * fParameters[0] + fParameters[1]);
4113 disc = 1 - fParameters[0]*fParameters[2] + fParameters[1]*fParameters[1] - disc*disc;
4115 disc = TMath::Sqrt(disc);
4116 y = (1.0 - disc) / fParameters[0];
4121 //_____________________________________________________________________________
4122 Double_t AliTRDtrackerV1::AliTRDtrackFitterRieman::GetZat(Double_t x) const {
4124 // Return z position for a given x position
4125 // Simple linear function
4127 return fParameters[3] + fParameters[4] * (x - fXref);
4130 //_____________________________________________________________________________
4131 Double_t AliTRDtrackerV1::AliTRDtrackFitterRieman::GetDyDxAt(Double_t x) const {
4133 // Calculate dydx at a given radial position out of the track parameters
4134 // dy: R^2 = (x - x0)^2 + (y - y0)^2
4135 // => y = +/- Sqrt(R^2 - (x - x0)^2) + y0
4136 // => dy/dx = (x - x0)/Sqrt(R^2 - (x - x0)^2)
4137 // Curvature: cr = 1/R = a/Sqrt(1 + b^2 - c*a)
4138 // => dy/dx = (x - x0)/(1/(cr^2) - (x - x0)^2)
4140 Double_t x0 = -fParameters[1] / fParameters[0];
4141 Double_t curvature = GetCurvature();
4143 if (-fParameters[2] * fParameters[0] + fParameters[1] * fParameters[1] + 1 > 0) {
4144 if (1.0/(curvature * curvature) - (x - x0) * (x - x0) > 0.0) {
4145 Double_t yderiv = (x - x0) / TMath::Sqrt(1.0/(curvature * curvature) - (x - x0) * (x - x0));
4146 if (fParameters[0] < 0) yderiv *= -1.0;
4153 //_____________________________________________________________________________
4154 Double_t AliTRDtrackerV1::AliTRDtrackFitterRieman::GetCurvature() const {
4156 // Calculate track curvature
4159 Double_t curvature = 1.0 + fParameters[1]*fParameters[1] - fParameters[2]*fParameters[0];
4160 if (curvature > 0.0)
4161 curvature = fParameters[0] / TMath::Sqrt(curvature);
4165 //_____________________________________________________________________________
4166 void AliTRDtrackerV1::AliTRDtrackFitterRieman::GetCovAt(Double_t x, Double_t *cov) const {
4168 // Error Definition according to gauss error propagation
4170 TMatrixD transform(3,3);
4171 transform(0,0) = transform(1,1) = transform(2,2) = 1;
4172 transform(0,1) = transform(1,2) = x;
4173 transform(0,2) = x*x;
4174 TMatrixD covariance(transform, TMatrixD::kMult, *fCovarPolY);
4175 covariance *= transform.T();
4176 cov[0] = covariance(0,0);
4177 TMatrixD transformZ(2,2);
4178 transformZ(0,0) = transformZ(1,1) = 1;
4179 transformZ(0,1) = x;
4180 TMatrixD covarZ(transformZ, TMatrixD::kMult, *fCovarPolZ);
4181 covarZ *= transformZ.T();
4182 cov[1] = covarZ(0,0);
4186 //____________________________________________________________________
4187 Double_t AliTRDtrackerV1::AliTRDtrackFitterRieman::CalculateReferenceX(){
4189 // Calculates the reference x-position for the tilted Rieman fit defined as middle
4190 // of the stack (middle between layers 2 and 3). For the calculation all the tracklets
4191 // are taken into account
4193 // Parameters: - Array of tracklets(AliTRDseedV1)
4195 // Output: - The reference x-position(Float_t)
4197 Int_t nDistances = 0;
4198 Float_t meanDistance = 0.;
4199 Int_t startIndex = 5;
4200 for(Int_t il =5; il > 0; il--){
4201 if(fTracklets[il]->IsOK() && fTracklets[il -1]->IsOK()){
4202 Float_t xdiff = fTracklets[il]->GetX0() - fTracklets[il -1]->GetX0();
4203 meanDistance += xdiff;
4206 if(fTracklets[il]->IsOK()) startIndex = il;
4208 if(fTracklets[0]->IsOK()) startIndex = 0;
4210 // We should normally never get here
4211 Float_t xpos[2]; memset(xpos, 0, sizeof(Float_t) * 2);
4212 Int_t iok = 0, idiff = 0;
4213 // This attempt is worse and should be avoided:
4214 // check for two chambers which are OK and repeat this without taking the mean value
4215 // Strategy avoids a division by 0;
4216 for(Int_t il = 5; il >= 0; il--){
4217 if(fTracklets[il]->IsOK()){
4218 xpos[iok] = fTracklets[il]->GetX0();
4222 if(iok) idiff++; // to get the right difference;
4226 meanDistance = (xpos[0] - xpos[1])/idiff;
4229 // we have do not even have 2 layers which are OK? The we do not need to fit at all
4234 meanDistance /= nDistances;
4236 return fTracklets[startIndex]->GetX0() + (2.5 - startIndex) * meanDistance - 0.5 * (AliTRDgeometry::AmThick() + AliTRDgeometry::DrThick());