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 track.SetPrimary(status & AliESDtrack::kTPCin);
344 expectedClr = FollowBackProlongation(track);
345 // check if track entered the TRD fiducial volume
346 if(track.GetTrackIn()){
347 seed->UpdateTrackParams(&track, AliESDtrack::kTRDin);
350 // check if track was stopped in the TRD
352 seed->UpdateTrackParams(&track, AliESDtrack::kTRDStop);
358 // computes PID for track
360 // update calibration references using this track
361 if(calibra->GetHisto2d()) calibra->UpdateHistogramsV1(&track);
362 // save calibration object
363 if (fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 0) {
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){
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 && ((AliExternalTrackParam&)t).Update(p, cov)){
616 // Register info to track
617 t.SetNumberOfClusters();
619 nClustersExpected += tracklet->GetN();
623 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 1){
625 for(int iplane=0; iplane<AliTRDgeometry::kNlayer; iplane++){
626 AliTRDseedV1 *tracklet = GetTracklet(&t, iplane, index);
627 if(!tracklet) continue;
628 t.SetTracklet(tracklet, index);
631 if(fkReconstructor->IsDebugStreaming()){
632 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
633 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
634 AliTRDtrackV1 track(t);
636 cstreamer << "FollowProlongation"
637 << "EventNumber=" << eventNumber
638 << "ncl=" << nClustersExpected
639 << "track.=" << &track
643 return nClustersExpected;
647 //_____________________________________________________________________________
648 Int_t AliTRDtrackerV1::FollowBackProlongation(AliTRDtrackV1 &t)
650 // Extrapolates/Build the TRD track in the TOF direction.
653 // t : the TRD track which has to be extrapolated
656 // number of clusters attached to the track
658 // Starting from current radial position of track <t> this function
659 // extrapolates the track through the 6 TRD layers. The following steps
660 // are being performed for each plane:
661 // 1. Propagate track to the entrance of the next chamber:
662 // - get chamber limits in the radial direction
663 // - check crossing sectors
664 // - check track inclination
665 // - check track prolongation against boundary conditions (see exclusion boundaries on AliTRDgeometry::IsOnBoundary())
666 // 2. Build tracklet (see AliTRDseed::AttachClusters() for details) for this layer if needed. If only
667 // Kalman filter is needed and tracklets are already linked to the track this step is skipped.
668 // 3. Fit tracklet using the information from the Kalman filter.
669 // 4. Propagate and update track at reference radial position of the tracklet.
670 // 5. Register tracklet with the tracker and track; update pulls monitoring.
673 // 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:
674 // - AliTRDtrackV1::kProlongation : track prolongation failed
675 // - AliTRDtrackV1::kPropagation : track prolongation failed
676 // - AliTRDtrackV1::kAdjustSector : failed during sector crossing
677 // - AliTRDtrackV1::kSnp : too large bending
678 // - AliTRDtrackV1::kTrackletInit : fail to initialize tracklet
679 // - AliTRDtrackV1::kUpdate : fail to attach clusters or fit the tracklet
680 // - AliTRDtrackV1::kUnknown : anything which is not covered before
681 // 2. By default the status of the track before first TRD update is saved.
686 // Alexandru Bercuci <A.Bercuci@gsi.de>
690 Double_t driftLength = .5*AliTRDgeometry::AmThick() + AliTRDgeometry::DrThick();
691 AliTRDtrackingChamber *chamber = NULL;
693 Int_t debugLevel = fkReconstructor->IsDebugStreaming() ? fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) : 0;
694 TTreeSRedirector *cstreamer = fkReconstructor->IsDebugStreaming() ? fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker) : 0x0;
696 Bool_t kStoreIn(kTRUE), //
697 kPropagateIn(kTRUE), //
698 kStandAlone(kFALSE), // toggle tracker awarness of stand alone seeding
699 kUseTRD(fkRecoParam->IsOverPtThreshold(t.Pt()));// use TRD measurment to update Kalman
702 AliTRDseedV1 tracklet, *ptrTracklet = NULL;
703 // Special case for stand alone tracking
704 // - store all tracklets found by seeding
705 // - start propagation from first tracklet found
706 AliTRDseedV1 *tracklets[kNPlanes];
707 memset(tracklets, 0, sizeof(AliTRDseedV1 *) * kNPlanes);
708 for(Int_t ip(kNPlanes); ip--;){
709 if(!(tracklets[ip] = t.GetTracklet(ip))) continue;
711 if(tracklets[ip]->IsOK()) startLayer=ip;
715 AliDebug(4, Form("SA[%c] Start[%d]\n"
716 " [0]idx[%d] traklet[%p]\n"
717 " [1]idx[%d] traklet[%p]\n"
718 " [2]idx[%d] traklet[%p]\n"
719 " [3]idx[%d] traklet[%p]\n"
720 " [4]idx[%d] traklet[%p]\n"
721 " [5]idx[%d] traklet[%p]"
722 , kStandAlone?'y':'n', startLayer
723 , t.GetTrackletIndex(0), (void*)tracklets[0]
724 , t.GetTrackletIndex(1), (void*)tracklets[1]
725 , t.GetTrackletIndex(2), (void*)tracklets[2]
726 , t.GetTrackletIndex(3), (void*)tracklets[3]
727 , t.GetTrackletIndex(4), (void*)tracklets[4]
728 , t.GetTrackletIndex(5), (void*)tracklets[5]));
730 // Loop through the TRD layers
731 TGeoHMatrix *matrix = NULL;
733 for (Int_t ily=startLayer, sm=-1, stk=-1, det=-1; ily < AliTRDgeometry::kNlayer; ily++) {
734 AliDebug(2, Form("Propagate to x[%d] = %7.2f", ily, fR[ily]));
736 // rough estimate of the entry point
737 if (!t.GetProlongation(fR[ily], y, z)){
739 t.SetStatus(AliTRDtrackV1::kProlongation);
740 AliDebug(4, Form("Failed Rough Prolongation to ly[%d] x[%7.2f] y[%7.2f] z[%7.2f]", ily, fR[ily], y, z));
744 // find sector / stack / detector
746 // TODO cross check with y value !
747 stk = fGeom->GetStack(z, ily);
748 det = stk>=0 ? AliTRDgeometry::GetDetector(ily, stk, sm) : -1;
749 matrix = det>=0 ? fGeom->GetClusterMatrix(det) : NULL;
750 AliDebug(3, Form("Propagate to det[%3d]", det));
752 // check if supermodule/chamber is installed
753 if( !fGeom->GetSMstatus(sm) ||
755 fGeom->IsHole(ily, stk, sm) ||
757 AliDebug(4, Form("Missing Geometry ly[%d]. Guess radial position", ily));
758 // propagate to the default radial position
759 if(fR[ily] > (fgkMaxStep + t.GetX()) && !PropagateToX(t, fR[ily], fgkMaxStep)){
761 t.SetStatus(AliTRDtrackV1::kPropagation);
762 AliDebug(4, "Failed Propagation [Missing Geometry]");
765 if(!AdjustSector(&t)){
767 t.SetStatus(AliTRDtrackV1::kAdjustSector);
768 AliDebug(4, "Failed Adjust Sector [Missing Geometry]");
771 if(TMath::Abs(t.GetSnp()) > fgkMaxSnp){
773 t.SetStatus(AliTRDtrackV1::kSnp);
774 AliDebug(4, "Failed Max Snp [Missing Geometry]");
777 t.SetStatus(AliTRDtrackV1::kGeometry, ily);
781 // retrieve rotation matrix for the current chamber
782 Double_t loc[] = {AliTRDgeometry::AnodePos()- driftLength, 0., 0.};
783 Double_t glb[] = {0., 0., 0.};
784 matrix->LocalToMaster(loc, glb);
786 // Propagate to the radial distance of the current layer
787 x = glb[0] - fgkMaxStep;
788 if(x > (fgkMaxStep + t.GetX()) && !PropagateToX(t, x, fgkMaxStep)){
790 t.SetStatus(AliTRDtrackV1::kPropagation);
791 AliDebug(4, Form("Failed Initial Propagation to x[%7.2f]", x));
794 if(!AdjustSector(&t)){
796 t.SetStatus(AliTRDtrackV1::kAdjustSector);
797 AliDebug(4, "Failed Adjust Sector Start");
800 if(TMath::Abs(t.GetSnp()) > fgkMaxSnp) {
802 t.SetStatus(AliTRDtrackV1::kSnp);
803 AliDebug(4, Form("Failed Max Snp[%f] MaxSnp[%f]", t.GetSnp(), fgkMaxSnp));
806 Bool_t doRecalculate = kFALSE;
807 if(sm != t.GetSector()){
809 doRecalculate = kTRUE;
811 if(stk != fGeom->GetStack(z, ily)){
812 stk = fGeom->GetStack(z, ily);
813 doRecalculate = kTRUE;
816 det = AliTRDgeometry::GetDetector(ily, stk, sm);
817 if(!(matrix = fGeom->GetClusterMatrix(det))){
818 t.SetStatus(AliTRDtrackV1::kGeometry, ily);
819 AliDebug(4, Form("Failed Geometry Matrix ly[%d]", ily));
822 matrix->LocalToMaster(loc, glb);
823 x = glb[0] - fgkMaxStep;
826 // check if track is well inside fiducial volume
827 if (!t.GetProlongation(x+fgkMaxStep, y, z)) {
829 t.SetStatus(AliTRDtrackV1::kProlongation);
830 AliDebug(4, Form("Failed Prolongation to x[%7.2f] y[%7.2f] z[%7.2f]", x+fgkMaxStep, y, z));
833 if(fGeom->IsOnBoundary(det, y, z, .5)){
834 t.SetStatus(AliTRDtrackV1::kBoundary, ily);
835 AliDebug(4, "Failed Track on Boundary");
838 // mark track as entering the FIDUCIAL volume of TRD
844 ptrTracklet = tracklets[ily];
845 if(!ptrTracklet){ // BUILD TRACKLET
846 AliDebug(3, Form("Building tracklet det[%d]", det));
847 // check data in supermodule
848 if(!fTrSec[sm].GetNChambers()){
849 t.SetStatus(AliTRDtrackV1::kNoClusters, ily);
850 AliDebug(4, "Failed NoClusters");
853 if(fTrSec[sm].GetX(ily) < 1.){
854 t.SetStatus(AliTRDtrackV1::kNoClusters, ily);
855 AliDebug(4, "Failed NoX");
859 // check data in chamber
860 if(!(chamber = fTrSec[sm].GetChamber(stk, ily))){
861 t.SetStatus(AliTRDtrackV1::kNoClusters, ily);
862 AliDebug(4, "Failed No Detector");
865 if(chamber->GetNClusters() < fgNTimeBins*fkRecoParam ->GetFindableClusters()){
866 t.SetStatus(AliTRDtrackV1::kNoClusters, ily);
867 AliDebug(4, "Failed Not Enough Clusters in Detector");
871 ptrTracklet = new(&tracklet) AliTRDseedV1(det);
872 ptrTracklet->SetReconstructor(fkReconstructor);
873 ptrTracklet->SetKink(t.IsKink());
874 ptrTracklet->SetPrimary(t.IsPrimary());
875 ptrTracklet->SetPadPlane(fGeom->GetPadPlane(ily, stk));
876 ptrTracklet->SetX0(glb[0]+driftLength);
877 if(!tracklet.Init(&t)){
879 t.SetStatus(AliTRDtrackV1::kTrackletInit);
880 AliDebug(4, "Failed Tracklet Init");
883 if(!tracklet.AttachClusters(chamber, kTRUE)){
884 t.SetStatus(AliTRDtrackV1::kNoAttach, ily);
886 AliTRDseedV1 trackletCp(*ptrTracklet);
887 UChar_t status(t.GetStatusTRD(ily));
888 (*cstreamer) << "FollowBackProlongation2"
889 <<"status=" << status
890 <<"tracklet.=" << &trackletCp
893 AliDebug(4, "Failed Attach Clusters");
896 AliDebug(3, Form("Number of Clusters in Tracklet: %d", tracklet.GetN()));
897 if(tracklet.GetN() < fgNTimeBins*fkRecoParam ->GetFindableClusters()){
898 t.SetStatus(AliTRDtrackV1::kNoClustersTracklet, ily);
900 AliTRDseedV1 trackletCp(*ptrTracklet);
901 UChar_t status(t.GetStatusTRD(ily));
902 (*cstreamer) << "FollowBackProlongation2"
903 <<"status=" << status
904 <<"tracklet.=" << &trackletCp
907 AliDebug(4, "Failed N Clusters Attached");
910 ptrTracklet->UpdateUsed();
911 } else AliDebug(2, Form("Use external tracklet ly[%d]", ily));
912 // propagate track to the radial position of the tracklet
915 // tilt correction options
917 // 2 : pseudo tilt correction
918 if(!ptrTracklet->Fit(2)){
919 t.SetStatus(AliTRDtrackV1::kNoFit, ily);
920 AliDebug(4, "Failed Tracklet Fit");
923 x = ptrTracklet->GetX(); //GetX0();
924 if(x > (fgkMaxStep + t.GetX()) && !PropagateToX(t, x, fgkMaxStep)) {
926 t.SetStatus(AliTRDtrackV1::kPropagation);
927 AliDebug(4, Form("Failed Propagation to Tracklet x[%7.2f]", x));
930 if(!AdjustSector(&t)) {
932 t.SetStatus(AliTRDtrackV1::kAdjustSector);
933 AliDebug(4, "Failed Adjust Sector");
936 if(TMath::Abs(t.GetSnp()) > fgkMaxSnp) {
938 t.SetStatus(AliTRDtrackV1::kSnp);
939 AliDebug(4, Form("Failed Max Snp[%f] MaxSnp[%f]", t.GetSnp(), fgkMaxSnp));
944 kPropagateIn = kFALSE;
946 Double_t cov[3]; ptrTracklet->GetCovAt(x, cov);
947 Double_t p[2] = { ptrTracklet->GetY(), ptrTracklet->GetZ()};
948 Double_t chi2 = ((AliExternalTrackParam)t).GetPredictedChi2(p, cov);
949 // update Kalman with the TRD measurement
950 if(chi2>1e+10){ // TODO
951 t.SetStatus(AliTRDtrackV1::kChi2, ily);
953 UChar_t status(t.GetStatusTRD());
954 AliTRDseedV1 trackletCp(*ptrTracklet);
955 AliTRDtrackV1 trackCp(t);
957 (*cstreamer) << "FollowBackProlongation1"
958 << "status=" << status
959 << "tracklet.=" << &trackletCp
960 << "track.=" << &trackCp
963 AliDebug(4, Form("Failed Chi2[%f]", chi2));
967 if(!((AliExternalTrackParam&)t).Update(p, cov)) {
969 t.SetStatus(AliTRDtrackV1::kUpdate);
971 UChar_t status(t.GetStatusTRD());
972 AliTRDseedV1 trackletCp(*ptrTracklet);
973 AliTRDtrackV1 trackCp(t);
975 (*cstreamer) << "FollowBackProlongation1"
976 << "status=" << status
977 << "tracklet.=" << &trackletCp
978 << "track.=" << &trackCp
981 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]));
985 if(!kStandAlone) ptrTracklet->UseClusters();
987 AliTracker::FillResiduals(&t, p, cov, ptrTracklet->GetVolumeId());
990 // load tracklet to the tracker
991 ptrTracklet->Update(&t);
992 ptrTracklet = SetTracklet(ptrTracklet);
993 Int_t index(fTracklets->GetEntriesFast()-1);
994 t.SetTracklet(ptrTracklet, index);
995 // Register info to track
996 t.SetNumberOfClusters();
999 n += ptrTracklet->GetN();
1000 AliDebug(2, Form("Setting Tracklet[%d] @ Idx[%d]", ily, index));
1002 // Reset material budget if 2 consecutive gold
1003 // if(ilayer>0 && t.GetTracklet(ilayer-1) && ptrTracklet->GetN() + t.GetTracklet(ilayer-1)->GetN() > 20) t.SetBudget(2, 0.);
1005 // Make backup of the track until is gold
1007 if(!kStandAlone && (failed = t.MakeBackupTrack())) AliDebug(2, Form("Failed backup on cut[%d]", failed));
1009 } // end layers loop
1010 //printf("clusters[%d] chi2[%f] x[%f] status[%d ", n, t.GetChi2(), t.GetX(), t.GetStatusTRD());
1011 //for(int i=0; i<6; i++) printf("%d ", t.GetStatusTRD(i)); printf("]\n");
1014 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
1015 AliTRDtrackV1 track(t);
1017 (*cstreamer) << "FollowBackProlongation0"
1018 << "EventNumber=" << eventNumber
1020 << "track.=" << &track
1027 //_________________________________________________________________________
1028 Float_t AliTRDtrackerV1::FitRieman(AliTRDseedV1 *tracklets, Double_t *chi2, Int_t *const planes){
1030 // Fits a Riemann-circle to the given points without tilting pad correction.
1031 // The fit is performed using an instance of the class AliRieman (equations
1032 // and transformations see documentation of this class)
1033 // Afterwards all the tracklets are Updated
1035 // Parameters: - Array of tracklets (AliTRDseedV1)
1036 // - Storage for the chi2 values (beginning with direction z)
1037 // - Seeding configuration
1038 // Output: - The curvature
1040 AliRieman *fitter = AliTRDtrackerV1::GetRiemanFitter();
1042 Int_t allplanes[] = {0, 1, 2, 3, 4, 5};
1043 Int_t *ppl = &allplanes[0];
1044 Int_t maxLayers = 6;
1049 for(Int_t il = 0; il < maxLayers; il++){
1050 if(!tracklets[ppl[il]].IsOK()) continue;
1051 fitter->AddPoint(tracklets[ppl[il]].GetX0(), tracklets[ppl[il]].GetYfit(0), tracklets[ppl[il]].GetZfit(0),1,10);
1054 // Set the reference position of the fit and calculate the chi2 values
1055 memset(chi2, 0, sizeof(Double_t) * 2);
1056 for(Int_t il = 0; il < maxLayers; il++){
1057 // Reference positions
1058 tracklets[ppl[il]].Init(fitter);
1061 if((!tracklets[ppl[il]].IsOK()) && (!planes)) continue;
1062 chi2[0] += tracklets[ppl[il]].GetChi2Y();
1063 chi2[1] += tracklets[ppl[il]].GetChi2Z();
1065 return fitter->GetC();
1068 //_________________________________________________________________________
1069 void AliTRDtrackerV1::FitRieman(AliTRDcluster **seedcl, Double_t chi2[2])
1072 // Performs a Riemann helix fit using the seedclusters as spacepoints
1073 // Afterwards the chi2 values are calculated and the seeds are updated
1075 // Parameters: - The four seedclusters
1076 // - The tracklet array (AliTRDseedV1)
1077 // - The seeding configuration
1082 AliRieman *fitter = AliTRDtrackerV1::GetRiemanFitter();
1084 for(Int_t i = 0; i < 4; i++){
1085 fitter->AddPoint(seedcl[i]->GetX(), seedcl[i]->GetY(), seedcl[i]->GetZ(), 1., 10.);
1090 // Update the seed and calculated the chi2 value
1091 chi2[0] = 0; chi2[1] = 0;
1092 for(Int_t ipl = 0; ipl < kNSeedPlanes; ipl++){
1094 chi2[0] += (seedcl[ipl]->GetZ() - fitter->GetZat(seedcl[ipl]->GetX())) * (seedcl[ipl]->GetZ() - fitter->GetZat(seedcl[ipl]->GetX()));
1095 chi2[1] += (seedcl[ipl]->GetY() - fitter->GetYat(seedcl[ipl]->GetX())) * (seedcl[ipl]->GetY() - fitter->GetYat(seedcl[ipl]->GetX()));
1100 //_________________________________________________________________________
1101 Float_t AliTRDtrackerV1::FitTiltedRiemanConstraint(AliTRDseedV1 *tracklets, Double_t zVertex)
1104 // Fits a helix to the clusters. Pad tilting is considered. As constraint it is
1105 // assumed that the vertex position is set to 0.
1106 // This method is very usefull for high-pt particles
1107 // Basis for the fit: (x - x0)^2 + (y - y0)^2 - R^2 = 0
1108 // x0, y0: Center of the circle
1109 // Measured y-position: ymeas = y - tan(phiT)(zc - zt)
1110 // zc: center of the pad row
1111 // Equation which has to be fitted (after transformation):
1112 // a + b * u + e * v + 2*(ymeas + tan(phiT)(z - zVertex))*t = 0
1114 // t = 1/(x^2 + y^2)
1116 // v = 2 * x * tan(phiT) * t
1117 // Parameters in the equation:
1118 // a = -1/y0, b = x0/y0, e = dz/dx
1120 // The Curvature is calculated by the following equation:
1121 // - curv = a/Sqrt(b^2 + 1) = 1/R
1122 // Parameters: - the 6 tracklets
1123 // - the Vertex constraint
1124 // Output: - the Chi2 value of the track
1129 TLinearFitter *fitter = GetTiltedRiemanFitterConstraint();
1130 fitter->StoreData(kTRUE);
1131 fitter->ClearPoints();
1132 AliTRDcluster *cl = NULL;
1134 Float_t x, y, z, w, t, error, tilt;
1137 for(Int_t ilr = 0; ilr < AliTRDgeometry::kNlayer; ilr++){
1138 if(!tracklets[ilr].IsOK()) continue;
1139 for(Int_t itb = 0; itb < AliTRDseedV1::kNclusters; itb++){
1140 if(!tracklets[ilr].IsUsable(itb)) continue;
1141 cl = tracklets[ilr].GetClusters(itb);
1142 if(!cl->IsInChamber()) continue;
1146 tilt = tracklets[ilr].GetTilt();
1148 t = 1./(x * x + y * y);
1149 uvt[0] = 2. * x * t;
1150 uvt[1] = 2. * x * t * tilt ;
1151 w = 2. * (y + tilt * (z - zVertex)) * t;
1152 error = 2. * TMath::Sqrt(cl->GetSigmaY2()+tilt*tilt*cl->GetSigmaZ2()) * t;
1153 fitter->AddPoint(uvt, w, error);
1159 // Calculate curvature
1160 Double_t a = fitter->GetParameter(0);
1161 Double_t b = fitter->GetParameter(1);
1162 Double_t curvature = a/TMath::Sqrt(b*b + 1);
1164 Float_t chi2track = fitter->GetChisquare()/Double_t(nPoints);
1165 for(Int_t ip = 0; ip < AliTRDtrackerV1::kNPlanes; ip++)
1166 tracklets[ip].SetC(curvature, 1);
1168 if(AliLog::GetDebugLevel("TRD", "AliTRDtrackerV1")>3) printf("D-AliTRDtrackerV1::FitTiltedRiemanConstraint: Chi2[%f] C[%5.2e] pt[%8.3f]\n", chi2track, curvature, GetBz()*kB2C/curvature);
1170 /* if(fkReconstructor->GetRecoParam()->GetStreamLevel(AliTRDrecoParam::kTracker()) >= 5){
1171 //Linear Model on z-direction
1172 Double_t xref = CalculateReferenceX(tracklets); // Relative to the middle of the stack
1173 Double_t slope = fitter->GetParameter(2);
1174 Double_t zref = slope * xref;
1175 Float_t chi2Z = CalculateChi2Z(tracklets, zref, slope, xref);
1176 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
1177 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
1178 TTreeSRedirector &treeStreamer = *fkReconstructor->GetDebugStream(AliTRDReconstructor::kTracker);
1179 treeStreamer << "FitTiltedRiemanConstraint"
1180 << "EventNumber=" << eventNumber
1181 << "CandidateNumber=" << candidateNumber
1182 << "Curvature=" << curvature
1183 << "Chi2Track=" << chi2track
1184 << "Chi2Z=" << chi2Z
1191 //_________________________________________________________________________
1192 Float_t AliTRDtrackerV1::FitTiltedRieman(AliTRDseedV1 *tracklets, Bool_t sigError)
1195 // Performs a Riemann fit taking tilting pad correction into account
1196 // The equation of a Riemann circle, where the y position is substituted by the
1197 // measured y-position taking pad tilting into account, has to be transformed
1198 // into a 4-dimensional hyperplane equation
1199 // Riemann circle: (x-x0)^2 + (y-y0)^2 -R^2 = 0
1200 // Measured y-Position: ymeas = y - tan(phiT)(zc - zt)
1201 // zc: center of the pad row
1202 // zt: z-position of the track
1203 // The z-position of the track is assumed to be linear dependent on the x-position
1204 // Transformed equation: a + b * u + c * t + d * v + e * w - 2 * (ymeas + tan(phiT) * zc) * t = 0
1205 // Transformation: u = 2 * x * t
1206 // v = 2 * tan(phiT) * t
1207 // w = 2 * tan(phiT) * (x - xref) * t
1208 // t = 1 / (x^2 + ymeas^2)
1209 // Parameters: a = -1/y0
1211 // c = (R^2 -x0^2 - y0^2)/y0
1214 // If the offset respectively the slope in z-position is impossible, the parameters are fixed using
1215 // results from the simple riemann fit. Afterwards the fit is redone.
1216 // The curvature is calculated according to the formula:
1217 // curv = a/(1 + b^2 + c*a) = 1/R
1219 // Paramters: - Array of tracklets (connected to the track candidate)
1220 // - Flag selecting the error definition
1221 // Output: - Chi2 values of the track (in Parameter list)
1223 TLinearFitter *fitter = GetTiltedRiemanFitter();
1224 fitter->StoreData(kTRUE);
1225 fitter->ClearPoints();
1226 AliTRDLeastSquare zfitter;
1227 AliTRDcluster *cl = NULL;
1229 Double_t xref = CalculateReferenceX(tracklets);
1230 Double_t x, y, z, t, tilt, dx, w, we, erry, errz;
1231 Double_t uvt[4], sumPolY[5], sumPolZ[3];
1232 memset(sumPolY, 0, sizeof(Double_t) * 5);
1233 memset(sumPolZ, 0, sizeof(Double_t) * 3);
1235 // Containers for Least-square fitter
1236 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
1237 if(!tracklets[ipl].IsOK()) continue;
1238 tilt = tracklets[ipl].GetTilt();
1239 for(Int_t itb = 0; itb < AliTRDseedV1::kNclusters; itb++){
1240 if(!(cl = tracklets[ipl].GetClusters(itb))) continue;
1241 if(!cl->IsInChamber()) continue;
1242 if (!tracklets[ipl].IsUsable(itb)) continue;
1249 uvt[0] = 2. * x * t;
1251 uvt[2] = 2. * tilt * t;
1252 uvt[3] = 2. * tilt * dx * t;
1253 w = 2. * (y + tilt*z) * t;
1254 // error definition changes for the different calls
1256 we *= sigError ? TMath::Sqrt(cl->GetSigmaY2()+tilt*tilt*cl->GetSigmaZ2()) : 0.2;
1257 fitter->AddPoint(uvt, w, we);
1258 zfitter.AddPoint(&x, z, static_cast<Double_t>(TMath::Sqrt(cl->GetSigmaZ2())));
1259 // adding points for covariance matrix estimation
1260 erry = 1./(TMath::Sqrt(cl->GetSigmaY2()) + 0.1); // 0.1 is a systematic error (due to misalignment and miscalibration)
1262 errz = 1./cl->GetSigmaZ2();
1263 for(Int_t ipol = 0; ipol < 5; ipol++){
1264 sumPolY[ipol] += erry;
1267 sumPolZ[ipol] += errz;
1274 if (fitter->Eval()) return 1.e10;
1277 Double_t offset = fitter->GetParameter(3);
1278 Double_t slope = fitter->GetParameter(4);
1280 // Linear fitter - not possible to make boundaries
1281 // Do not accept non possible z and dzdx combinations
1282 Bool_t acceptablez = kTRUE;
1283 Double_t zref = 0.0;
1284 for (Int_t iLayer = 0; iLayer < kNPlanes; iLayer++) {
1285 if(!tracklets[iLayer].IsOK()) continue;
1286 zref = offset + slope * (tracklets[iLayer].GetX0() - xref);
1287 if (TMath::Abs(tracklets[iLayer].GetZfit(0) - zref) > tracklets[iLayer].GetPadLength() * 0.5 + 1.0)
1288 acceptablez = kFALSE;
1291 Double_t dzmf = zfitter.GetFunctionParameter(1);
1292 Double_t zmf = zfitter.GetFunctionValue(&xref);
1293 fgTiltedRieman->FixParameter(3, zmf);
1294 fgTiltedRieman->FixParameter(4, dzmf);
1296 fitter->ReleaseParameter(3);
1297 fitter->ReleaseParameter(4);
1298 offset = fitter->GetParameter(3);
1299 slope = fitter->GetParameter(4);
1302 // Calculate Curvarture
1303 Double_t a = fitter->GetParameter(0);
1304 Double_t b = fitter->GetParameter(1);
1305 Double_t c = fitter->GetParameter(2);
1306 Double_t curvature = 1.0 + b*b - c*a;
1307 if (curvature > 0.0) curvature = a / TMath::Sqrt(curvature);
1309 Double_t chi2track = fitter->GetChisquare()/Double_t(nPoints);
1311 // Prepare error calculation
1312 TMatrixD covarPolY(3,3);
1313 covarPolY(0,0) = sumPolY[0]; covarPolY(1,1) = sumPolY[2]; covarPolY(2,2) = sumPolY[4];
1314 covarPolY(0,1) = covarPolY(1,0) = sumPolY[1];
1315 covarPolY(0,2) = covarPolY(2,0) = sumPolY[2];
1316 covarPolY(2,1) = covarPolY(1,2) = sumPolY[3];
1318 TMatrixD covarPolZ(2,2);
1319 covarPolZ(0,0) = sumPolZ[0]; covarPolZ(1,1) = sumPolZ[2];
1320 covarPolZ(1,0) = covarPolZ(0,1) = sumPolZ[1];
1323 // Update the tracklets
1324 Double_t x1, dy, dz;
1326 memset(cov, 0, sizeof(Double_t) * 15);
1327 for(Int_t iLayer = 0; iLayer < AliTRDtrackerV1::kNPlanes; iLayer++) {
1329 x = tracklets[iLayer].GetX0();
1335 memset(cov, 0, sizeof(Double_t) * 3);
1336 TMatrixD transform(3,3);
1339 transform(0,2) = x*x;
1343 TMatrixD covariance(transform, TMatrixD::kMult, covarPolY);
1344 covariance *= transform.T();
1345 TMatrixD transformZ(2,2);
1346 transformZ(0,0) = transformZ(1,1) = 1;
1347 transformZ(0,1) = x;
1348 TMatrixD covarZ(transformZ, TMatrixD::kMult, covarPolZ);
1349 covarZ *= transformZ.T();
1350 // y: R^2 = (x - x0)^2 + (y - y0)^2
1351 // => y = y0 +/- Sqrt(R^2 - (x - x0)^2)
1352 // R = Sqrt() = 1/Curvature
1353 // => y = y0 +/- Sqrt(1/Curvature^2 - (x - x0)^2)
1354 Double_t res = (x * a + b); // = (x - x0)/y0
1356 res = 1.0 - c * a + b * b - res; // = (R^2 - (x - x0)^2)/y0^2
1358 res = TMath::Sqrt(res);
1359 y = (1.0 - res) / a;
1361 cov[0] = covariance(0,0);
1362 cov[2] = covarZ(0,0);
1365 // dy: R^2 = (x - x0)^2 + (y - y0)^2
1366 // => y = +/- Sqrt(R^2 - (x - x0)^2) + y0
1367 // => dy/dx = (x - x0)/Sqrt(R^2 - (x - x0)^2)
1368 // Curvature: cr = 1/R = a/Sqrt(1 + b^2 - c*a)
1369 // => dy/dx = (x - x0)/(1/(cr^2) - (x - x0)^2)
1370 Double_t x0 = -b / a;
1371 if (-c * a + b * b + 1 > 0) {
1372 if (1.0/(curvature * curvature) - (x - x0) * (x - x0) > 0.0) {
1373 Double_t yderiv = (x - x0) / TMath::Sqrt(1.0/(curvature * curvature) - (x - x0) * (x - x0));
1374 if (a < 0) yderiv *= -1.0;
1378 z = offset + slope * (x - xref);
1380 tracklets[iLayer].SetYref(0, y);
1381 tracklets[iLayer].SetYref(1, dy);
1382 tracklets[iLayer].SetZref(0, z);
1383 tracklets[iLayer].SetZref(1, dz);
1384 tracklets[iLayer].SetC(curvature);
1385 tracklets[iLayer].SetCovRef(cov);
1386 tracklets[iLayer].SetChi2(chi2track);
1388 if(AliLog::GetDebugLevel("TRD", "AliTRDtrackerV1")>3) printf("D-AliTRDtrackerV1::FitTiltedRieman: Chi2[%f] C[%5.2e] pt[%8.3f]\n", chi2track, curvature, GetBz()*kB2C/curvature);
1390 /* if(fkReconstructor->GetRecoParam()->GetStreamLevel(AliTRDrecoParam::kTracker) >=5){
1391 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
1392 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
1393 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
1394 Double_t chi2z = CalculateChi2Z(tracklets, offset, slope, xref);
1395 cstreamer << "FitTiltedRieman0"
1396 << "EventNumber=" << eventNumber
1397 << "CandidateNumber=" << candidateNumber
1399 << "Chi2Z=" << chi2z
1406 //____________________________________________________________________
1407 Double_t AliTRDtrackerV1::FitLine(const AliTRDtrackV1 *track, AliTRDseedV1 *tracklets, Bool_t err, Int_t np, AliTrackPoint *points)
1410 // Fit track with a staight line
1411 // Fills an AliTrackPoint array with np points
1412 // Function should be used to refit tracks when no magnetic field was on
1414 AliTRDLeastSquare yfitter, zfitter;
1415 AliTRDcluster *cl = NULL;
1417 AliTRDseedV1 work[kNPlanes], *tracklet = NULL;
1419 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
1420 if(!(tracklet = track->GetTracklet(ipl))) continue;
1421 if(!tracklet->IsOK()) continue;
1422 new(&work[ipl]) AliTRDseedV1(*tracklet);
1424 tracklets = &work[0];
1427 Double_t xref = CalculateReferenceX(tracklets);
1428 Double_t x, y, z, dx, ye, yr, tilt;
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 zfitter.AddPoint(&dx, z, static_cast<Double_t>(TMath::Sqrt(cl->GetSigmaZ2())));
1441 Double_t z0 = zfitter.GetFunctionParameter(0);
1442 Double_t dzdx = zfitter.GetFunctionParameter(1);
1443 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
1444 if(!tracklets[ipl].IsOK()) continue;
1445 for(Int_t itb = 0; itb < fgNTimeBins; itb++){
1446 if(!(cl = tracklets[ipl].GetClusters(itb))) continue;
1447 if (!tracklets[ipl].IsUsable(itb)) continue;
1451 tilt = tracklets[ipl].GetTilt();
1453 yr = y + tilt*(z - z0 - dzdx*dx);
1454 // error definition changes for the different calls
1455 ye = tilt*TMath::Sqrt(cl->GetSigmaZ2());
1456 ye += err ? tracklets[ipl].GetSigmaY() : 0.2;
1457 yfitter.AddPoint(&dx, yr, ye);
1461 Double_t y0 = yfitter.GetFunctionParameter(0);
1462 Double_t dydx = yfitter.GetFunctionParameter(1);
1463 Double_t chi2 = 0.;//yfitter.GetChisquare()/Double_t(nPoints);
1465 //update track points array
1468 for(int ip=0; ip<np; ip++){
1469 points[ip].GetXYZ(xyz);
1470 xyz[1] = y0 + dydx * (xyz[0] - xref);
1471 xyz[2] = z0 + dzdx * (xyz[0] - xref);
1472 points[ip].SetXYZ(xyz);
1479 //_________________________________________________________________________
1480 Double_t AliTRDtrackerV1::FitRiemanTilt(const AliTRDtrackV1 *track, AliTRDseedV1 *tracklets, Bool_t sigError, Int_t np, AliTrackPoint *points)
1483 // Performs a Riemann fit taking tilting pad correction into account
1485 // Paramters: - Array of tracklets (connected to the track candidate)
1486 // - Flag selecting the error definition
1487 // Output: - Chi2 values of the track (in Parameter list)
1489 // The equations which has to be solved simultaneously are:
1491 // R^{2} = (x-x_{0})^{2} + (y^{*}-y_{0})^{2}
1492 // y^{*} = y - tg(h)(z - z_{t})
1493 // z_{t} = z_{0}+dzdx*(x-x_{r})
1495 // with (x, y, z) the coordinate of the cluster, (x_0, y_0, z_0) the coordinate of the center of the Riemann circle,
1496 // R its radius, x_r a constant refrence radial position in the middle of the TRD stack and dzdx the slope of the
1497 // track in the x-z plane. Using the following transformations
1499 // t = 1 / (x^{2} + y^{2})
1501 // v = 2 * tan(h) * t
1502 // w = 2 * tan(h) * (x - x_{r}) * t
1504 // One gets the following linear equation
1506 // a + b * u + c * t + d * v + e * w = 2 * (y + tg(h) * z) * t
1508 // where the coefficients have the following meaning
1512 // c = (R^{2} -x_{0}^{2} - y_{0}^{2})/y_{0}
1516 // The error calculation for the free term is thus
1518 // #sigma = 2 * #sqrt{#sigma^{2}_{y} + (tilt corr ...) + tg^{2}(h) * #sigma^{2}_{z}} * t
1521 // From this simple model one can compute chi^2 estimates and a rough approximation of pt from the curvature according
1524 // C = 1/R = a/(1 + b^{2} + c*a)
1528 // M.Ivanov <M.Ivanov@gsi.de>
1529 // A.Bercuci <A.Bercuci@gsi.de>
1530 // M.Fasel <M.Fasel@gsi.de>
1532 TLinearFitter *fitter = GetTiltedRiemanFitter();
1533 fitter->StoreData(kTRUE);
1534 fitter->ClearPoints();
1535 AliTRDLeastSquare zfitter;
1536 AliTRDcluster *cl = NULL;
1538 AliTRDseedV1 work[kNPlanes], *tracklet = NULL;
1540 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
1541 if(!(tracklet = track->GetTracklet(ipl))) continue;
1542 if(!tracklet->IsOK()) continue;
1543 new(&work[ipl]) AliTRDseedV1(*tracklet);
1545 tracklets = &work[0];
1548 Double_t xref = CalculateReferenceX(tracklets);
1549 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);
1550 Double_t x, y, z, t, tilt, dx, w, we;
1553 // Containers for Least-square fitter
1554 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
1555 if(!tracklets[ipl].IsOK()) continue;
1556 for(Int_t itb = 0; itb < AliTRDseedV1::kNclusters; itb++){
1557 if(!(cl = tracklets[ipl].GetClusters(itb))) continue;
1558 //if (!tracklets[ipl].IsUsable(itb)) continue;
1562 tilt = tracklets[ipl].GetTilt();
1566 uvt[0] = 2. * x * t;
1568 uvt[2] = 2. * tilt * t;
1569 uvt[3] = 2. * tilt * dx * t;
1570 w = 2. * (y + tilt*z) * t;
1571 // error definition changes for the different calls
1573 we *= sigError ? TMath::Sqrt(cl->GetSigmaY2()) : 0.2;
1574 fitter->AddPoint(uvt, w, we);
1575 zfitter.AddPoint(&x, z, static_cast<Double_t>(TMath::Sqrt(cl->GetSigmaZ2())));
1579 if(fitter->Eval()) return 1.E10;
1581 Double_t z0 = fitter->GetParameter(3);
1582 Double_t dzdx = fitter->GetParameter(4);
1585 // Linear fitter - not possible to make boundaries
1586 // Do not accept non possible z and dzdx combinations
1587 Bool_t accept = kTRUE;
1588 Double_t zref = 0.0;
1589 for (Int_t iLayer = 0; iLayer < kNPlanes; iLayer++) {
1590 if(!tracklets[iLayer].IsOK()) continue;
1591 zref = z0 + dzdx * (tracklets[iLayer].GetX0() - xref);
1592 if (TMath::Abs(tracklets[iLayer].GetZfit(0) - zref) > tracklets[iLayer].GetPadLength() * 0.5 + 1.0)
1597 Double_t dzmf = zfitter.GetFunctionParameter(1);
1598 Double_t zmf = zfitter.GetFunctionValue(&xref);
1599 fitter->FixParameter(3, zmf);
1600 fitter->FixParameter(4, dzmf);
1602 fitter->ReleaseParameter(3);
1603 fitter->ReleaseParameter(4);
1604 z0 = fitter->GetParameter(3); // = zmf ?
1605 dzdx = fitter->GetParameter(4); // = dzmf ?
1608 // Calculate Curvature
1609 Double_t a = fitter->GetParameter(0);
1610 Double_t b = fitter->GetParameter(1);
1611 Double_t c = fitter->GetParameter(2);
1612 Double_t y0 = 1. / a;
1613 Double_t x0 = -b * y0;
1614 Double_t tmp = y0*y0 + x0*x0 - c*y0;
1615 if(tmp<=0.) return 1.E10;
1616 Double_t radius = TMath::Sqrt(tmp);
1617 Double_t curvature = 1.0 + b*b - c*a;
1618 if (curvature > 0.0) curvature = a / TMath::Sqrt(curvature);
1620 // Calculate chi2 of the fit
1621 Double_t chi2 = fitter->GetChisquare()/Double_t(nPoints);
1622 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);
1624 // Update the tracklets
1626 for(Int_t ip = 0; ip < kNPlanes; ip++) {
1627 x = tracklets[ip].GetX0();
1628 tmp = radius*radius-(x-x0)*(x-x0);
1629 if(tmp <= 0.) continue;
1630 tmp = TMath::Sqrt(tmp);
1632 // y: R^2 = (x - x0)^2 + (y - y0)^2
1633 // => y = y0 +/- Sqrt(R^2 - (x - x0)^2)
1634 tracklets[ip].SetYref(0, y0 - (y0>0.?1.:-1)*tmp);
1635 // => dy/dx = (x - x0)/Sqrt(R^2 - (x - x0)^2)
1636 tracklets[ip].SetYref(1, (x - x0) / tmp);
1637 tracklets[ip].SetZref(0, z0 + dzdx * (x - xref));
1638 tracklets[ip].SetZref(1, dzdx);
1639 tracklets[ip].SetC(curvature);
1640 tracklets[ip].SetChi2(chi2);
1643 //update track points array
1646 for(int ip=0; ip<np; ip++){
1647 points[ip].GetXYZ(xyz);
1648 xyz[1] = TMath::Abs(xyz[0] - x0) > radius ? 100. : y0 - (y0>0.?1.:-1.)*TMath::Sqrt((radius-(xyz[0]-x0))*(radius+(xyz[0]-x0)));
1649 xyz[2] = z0 + dzdx * (xyz[0] - xref);
1650 points[ip].SetXYZ(xyz);
1658 //____________________________________________________________________
1659 Double_t AliTRDtrackerV1::FitKalman(AliTRDtrackV1 *track, AliTRDseedV1 * const tracklets, Bool_t up, Int_t np, AliTrackPoint *points)
1661 // Kalman filter implementation for the TRD.
1662 // It returns the positions of the fit in the array "points"
1664 // Author : A.Bercuci@gsi.de
1666 // printf("Start track @ x[%f]\n", track->GetX());
1668 //prepare marker points along the track
1669 Int_t ip = np ? 0 : 1;
1671 if((up?-1:1) * (track->GetX() - points[ip].GetX()) > 0.) break;
1672 //printf("AliTRDtrackerV1::FitKalman() : Skip track marker x[%d] = %7.3f. Before track start ( %7.3f ).\n", ip, points[ip].GetX(), track->GetX());
1675 //if(points) printf("First marker point @ x[%d] = %f\n", ip, points[ip].GetX());
1678 AliTRDseedV1 tracklet, *ptrTracklet = NULL;
1680 //Loop through the TRD planes
1681 for (Int_t jplane = 0; jplane < kNPlanes; jplane++) {
1682 // GET TRACKLET OR BUILT IT
1683 Int_t iplane = up ? jplane : kNPlanes - 1 - jplane;
1685 if(!(ptrTracklet = &tracklets[iplane])) continue;
1687 if(!(ptrTracklet = track->GetTracklet(iplane))){
1688 /*AliTRDtrackerV1 *tracker = NULL;
1689 if(!(tracker = dynamic_cast<AliTRDtrackerV1*>( AliTRDrecoParam:Tracker()))) continue;
1690 ptrTracklet = new(&tracklet) AliTRDseedV1(iplane);
1691 if(!tracker->MakeTracklet(ptrTracklet, track)) */
1695 if(!ptrTracklet->IsOK()) continue;
1697 Double_t x = ptrTracklet->GetX0();
1700 //don't do anything if next marker is after next update point.
1701 if((up?-1:1) * (points[ip].GetX() - x) - fgkMaxStep < 0) break;
1702 if(((up?-1:1) * (points[ip].GetX() - track->GetX()) < 0) && !PropagateToX(*track, points[ip].GetX(), fgkMaxStep)) return -1.;
1704 Double_t xyz[3]; // should also get the covariance
1706 track->Global2LocalPosition(xyz, track->GetAlpha());
1707 points[ip].SetXYZ(xyz[0], xyz[1], xyz[2]);
1710 // printf("plane[%d] tracklet[%p] x[%f]\n", iplane, ptrTracklet, x);
1712 // Propagate closer to the next update point
1713 if(((up?-1:1) * (x - track->GetX()) + fgkMaxStep < 0) && !PropagateToX(*track, x + (up?-1:1)*fgkMaxStep, fgkMaxStep)) return -1.;
1715 if(!AdjustSector(track)) return -1;
1716 if(TMath::Abs(track->GetSnp()) > fgkMaxSnp) return -1;
1718 //load tracklet to the tracker and the track
1720 if((index = FindTracklet(ptrTracklet)) < 0){
1721 ptrTracklet = SetTracklet(&tracklet);
1722 index = fTracklets->GetEntriesFast()-1;
1724 track->SetTracklet(ptrTracklet, index);*/
1727 // register tracklet to track with tracklet creation !!
1728 // PropagateBack : loaded tracklet to the tracker and update index
1729 // RefitInward : update index
1730 // MakeTrack : loaded tracklet to the tracker and update index
1731 if(!tracklets) track->SetTracklet(ptrTracklet, -1);
1734 //Calculate the mean material budget along the path inside the chamber
1735 Double_t xyz0[3]; track->GetXYZ(xyz0);
1736 Double_t alpha = track->GetAlpha();
1737 Double_t xyz1[3], y, z;
1738 if(!track->GetProlongation(x, y, z)) return -1;
1739 xyz1[0] = x * TMath::Cos(alpha) - y * TMath::Sin(alpha);
1740 xyz1[1] = +x * TMath::Sin(alpha) + y * TMath::Cos(alpha);
1742 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
1744 if(AliTracker::MeanMaterialBudget(xyz0, xyz1, param) <=0.) break;
1745 Double_t xrho = param[0]*param[4]; // density*length
1746 Double_t xx0 = param[1]; // radiation length
1748 //Propagate the track
1749 track->PropagateTo(x, xx0, xrho);
1750 if (!AdjustSector(track)) break;
1753 Double_t cov[3]; ptrTracklet->GetCovAt(x, cov);
1754 Double_t p[2] = { ptrTracklet->GetY(), ptrTracklet->GetZ()};
1755 Double_t chi2 = ((AliExternalTrackParam*)track)->GetPredictedChi2(p, cov);
1756 if(chi2<1e+10) ((AliExternalTrackParam*)track)->Update(p, cov);
1759 //Reset material budget if 2 consecutive gold
1760 if(iplane>0 && track->GetTracklet(iplane-1) && ptrTracklet->GetN() + track->GetTracklet(iplane-1)->GetN() > 20) track->SetBudget(2, 0.);
1761 } // end planes loop
1765 if(((up?-1:1) * (points[ip].GetX() - track->GetX()) < 0) && !PropagateToX(*track, points[ip].GetX(), fgkMaxStep)) return -1.;
1767 Double_t xyz[3]; // should also get the covariance
1769 track->Global2LocalPosition(xyz, track->GetAlpha());
1770 points[ip].SetXYZ(xyz[0], xyz[1], xyz[2]);
1774 return track->GetChi2();
1777 //_________________________________________________________________________
1778 Float_t AliTRDtrackerV1::CalculateChi2Z(AliTRDseedV1 *tracklets, Double_t offset, Double_t slope, Double_t xref)
1781 // Calculates the chi2-value of the track in z-Direction including tilting pad correction.
1782 // A linear dependence on the x-value serves as a model.
1783 // The parameters are related to the tilted Riemann fit.
1784 // Parameters: - Array of tracklets (AliTRDseedV1) related to the track candidate
1785 // - the offset for the reference x
1787 // - the reference x position
1788 // Output: - The Chi2 value of the track in z-Direction
1790 Float_t chi2Z = 0, nLayers = 0;
1791 for (Int_t iLayer = 0; iLayer < AliTRDgeometry::kNlayer; iLayer++) {
1792 if(!tracklets[iLayer].IsOK()) continue;
1793 Double_t z = offset + slope * (tracklets[iLayer].GetX0() - xref);
1794 chi2Z += TMath::Abs(tracklets[iLayer].GetZfit(0) - z);
1797 chi2Z /= TMath::Max((nLayers - 3.0),1.0);
1801 //_____________________________________________________________________________
1802 Int_t AliTRDtrackerV1::PropagateToX(AliTRDtrackV1 &t, Double_t xToGo, Double_t maxStep)
1805 // Starting from current X-position of track <t> this function
1806 // extrapolates the track up to radial position <xToGo>.
1807 // Returns 1 if track reaches the plane, and 0 otherwise
1810 const Double_t kEpsilon = 0.00001;
1812 // Current track X-position
1813 Double_t xpos = t.GetX();
1815 // Direction: inward or outward
1816 Double_t dir = (xpos < xToGo) ? 1.0 : -1.0;
1818 while (((xToGo - xpos) * dir) > kEpsilon) {
1827 // The next step size
1828 Double_t step = dir * TMath::Min(TMath::Abs(xToGo-xpos),maxStep);
1830 // Get the global position of the starting point
1833 // X-position after next step
1836 // Get local Y and Z at the X-position of the next step
1837 if(t.GetProlongation(x,y,z)<0) return 0; // No prolongation possible
1839 // The global position of the end point of this prolongation step
1840 xyz1[0] = x * TMath::Cos(t.GetAlpha()) - y * TMath::Sin(t.GetAlpha());
1841 xyz1[1] = +x * TMath::Sin(t.GetAlpha()) + y * TMath::Cos(t.GetAlpha());
1844 // Calculate the mean material budget between start and
1845 // end point of this prolongation step
1846 if(AliTracker::MeanMaterialBudget(xyz0, xyz1, param)<=0.) return 0;
1848 // Propagate the track to the X-position after the next step
1849 if (!t.PropagateTo(x, param[1], param[0]*param[4])) return 0;
1851 // Rotate the track if necessary
1854 // New track X-position
1864 //_____________________________________________________________________________
1865 Int_t AliTRDtrackerV1::ReadClusters(TClonesArray* &array, TTree *clusterTree) const
1868 // Reads AliTRDclusters from the file.
1869 // The names of the cluster tree and branches
1870 // should match the ones used in AliTRDclusterizer::WriteClusters()
1873 Int_t nsize = Int_t(clusterTree->GetTotBytes() / (sizeof(AliTRDcluster)));
1874 TObjArray *clusterArray = new TObjArray(nsize+1000);
1876 TBranch *branch = clusterTree->GetBranch("TRDcluster");
1878 AliError("Can't get the branch !");
1881 branch->SetAddress(&clusterArray);
1884 Float_t nclusters = fkRecoParam->GetNClusters();
1885 if(fkReconstructor->IsHLT()) nclusters /= AliTRDgeometry::kNsector;
1886 array = new TClonesArray("AliTRDcluster", Int_t(nclusters));
1887 array->SetOwner(kTRUE);
1890 // Loop through all entries in the tree
1891 Int_t nEntries = (Int_t) clusterTree->GetEntries();
1894 AliTRDcluster *c = NULL;
1895 for (Int_t iEntry = 0; iEntry < nEntries; iEntry++) {
1897 nbytes += clusterTree->GetEvent(iEntry);
1899 // Get the number of points in the detector
1900 Int_t nCluster = clusterArray->GetEntriesFast();
1901 for (Int_t iCluster = 0; iCluster < nCluster; iCluster++) {
1902 if(!(c = (AliTRDcluster *) clusterArray->UncheckedAt(iCluster))) continue;
1903 new((*fClusters)[ncl++]) AliTRDcluster(*c);
1904 delete (clusterArray->RemoveAt(iCluster));
1908 delete clusterArray;
1913 //_____________________________________________________________________________
1914 Int_t AliTRDtrackerV1::LoadClusters(TTree *cTree)
1917 // Fills clusters into TRD tracking sectors
1920 fkRecoParam = fkReconstructor->GetRecoParam(); // load reco param for this event
1922 if(!fkReconstructor->IsWritingClusters()){
1923 fClusters = AliTRDReconstructor::GetClusters();
1925 if (ReadClusters(fClusters, cTree)) {
1926 AliError("Problem with reading the clusters !");
1932 if(!fClusters || !fClusters->GetEntriesFast()){
1933 AliInfo("No TRD clusters");
1938 BuildTrackingContainers();
1940 //Int_t ncl = fClusters->GetEntriesFast();
1941 //AliInfo(Form("Clusters %d [%6.2f %% in the active volume]", ncl, 100.*float(nin)/ncl));
1946 //_____________________________________________________________________________
1947 Int_t AliTRDtrackerV1::LoadClusters(TClonesArray * const clusters)
1950 // Fills clusters into TRD tracking sectors
1951 // Function for use in the HLT
1953 if(!clusters || !clusters->GetEntriesFast()){
1954 AliInfo("No TRD clusters");
1958 fClusters = clusters;
1961 fkRecoParam = fkReconstructor->GetRecoParam(); // load reco param for this event
1962 BuildTrackingContainers();
1964 //Int_t ncl = fClusters->GetEntriesFast();
1965 //AliInfo(Form("Clusters %d [%6.2f %% in the active volume]", ncl, 100.*float(nin)/ncl));
1971 //____________________________________________________________________
1972 Int_t AliTRDtrackerV1::BuildTrackingContainers()
1974 // Building tracking containers for clusters
1976 Int_t nin(0), ncl(fClusters->GetEntriesFast());
1978 AliTRDcluster *c = (AliTRDcluster *) fClusters->UncheckedAt(ncl);
1979 if(c->IsInChamber()) nin++;
1980 if(fkReconstructor->IsHLT()) c->SetRPhiMethod(AliTRDcluster::kCOG);
1981 Int_t detector = c->GetDetector();
1982 Int_t sector = fGeom->GetSector(detector);
1983 Int_t stack = fGeom->GetStack(detector);
1984 Int_t layer = fGeom->GetLayer(detector);
1986 fTrSec[sector].GetChamber(stack, layer, kTRUE)->InsertCluster(c, ncl);
1989 for(int isector =0; isector<AliTRDgeometry::kNsector; isector++){
1990 if(!fTrSec[isector].GetNChambers()) continue;
1991 fTrSec[isector].Init(fkReconstructor);
1999 //____________________________________________________________________
2000 void AliTRDtrackerV1::UnloadClusters()
2003 // Clears the arrays of clusters and tracks. Resets sectors and timebins
2004 // If option "force" is also set the containers are also deleted. This is useful
2009 if(HasRemoveContainers()){delete fTracks; fTracks = NULL;}
2012 fTracklets->Delete();
2013 if(HasRemoveContainers()){delete fTracklets; fTracklets = NULL;}
2016 if(IsClustersOwner()) fClusters->Delete();
2018 // save clusters array in the reconstructor for further use.
2019 if(!fkReconstructor->IsWritingClusters()){
2020 AliTRDReconstructor::SetClusters(fClusters);
2021 SetClustersOwner(kFALSE);
2022 } else AliTRDReconstructor::SetClusters(NULL);
2025 for (int i = 0; i < AliTRDgeometry::kNsector; i++) fTrSec[i].Clear();
2027 // Increment the Event Number
2028 AliTRDtrackerDebug::SetEventNumber(AliTRDtrackerDebug::GetEventNumber() + 1);
2031 // //____________________________________________________________________
2032 // void AliTRDtrackerV1::UseClusters(const AliKalmanTrack *t, Int_t) const
2034 // const AliTRDtrackV1 *track = dynamic_cast<const AliTRDtrackV1*>(t);
2035 // if(!track) return;
2037 // AliTRDseedV1 *tracklet = NULL;
2038 // for(Int_t ily=AliTRDgeometry::kNlayer; ily--;){
2039 // if(!(tracklet = track->GetTracklet(ily))) continue;
2040 // AliTRDcluster *c = NULL;
2041 // for(Int_t ic=AliTRDseed::kNclusters; ic--;){
2042 // if(!(c=tracklet->GetClusters(ic))) continue;
2049 //_____________________________________________________________________________
2050 Bool_t AliTRDtrackerV1::AdjustSector(AliTRDtrackV1 *const track)
2053 // Rotates the track when necessary
2056 Double_t alpha = AliTRDgeometry::GetAlpha();
2057 Double_t y = track->GetY();
2058 Double_t ymax = track->GetX()*TMath::Tan(0.5*alpha);
2061 if (!track->Rotate( alpha)) {
2065 else if (y < -ymax) {
2066 if (!track->Rotate(-alpha)) {
2076 //____________________________________________________________________
2077 AliTRDseedV1* AliTRDtrackerV1::GetTracklet(AliTRDtrackV1 *const track, Int_t p, Int_t &idx)
2079 // Find tracklet for TRD track <track>
2088 // Detailed description
2090 idx = track->GetTrackletIndex(p);
2091 AliTRDseedV1 *tracklet = (idx<0) ? NULL : (AliTRDseedV1*)fTracklets->UncheckedAt(idx);
2096 //____________________________________________________________________
2097 AliTRDseedV1* AliTRDtrackerV1::SetTracklet(const AliTRDseedV1 * const tracklet)
2099 // Add this tracklet to the list of tracklets stored in the tracker
2102 // - tracklet : pointer to the tracklet to be added to the list
2105 // - the index of the new tracklet in the tracker tracklets list
2107 // Detailed description
2108 // Build the tracklets list if it is not yet created (late initialization)
2109 // and adds the new tracklet to the list.
2112 fTracklets = new TClonesArray("AliTRDseedV1", AliTRDgeometry::Nsector()*kMaxTracksStack);
2113 fTracklets->SetOwner(kTRUE);
2115 Int_t nentries = fTracklets->GetEntriesFast();
2116 return new ((*fTracklets)[nentries]) AliTRDseedV1(*tracklet);
2119 //____________________________________________________________________
2120 AliTRDtrackV1* AliTRDtrackerV1::SetTrack(const AliTRDtrackV1 * const track)
2122 // Add this track to the list of tracks stored in the tracker
2125 // - track : pointer to the track to be added to the list
2128 // - the pointer added
2130 // Detailed description
2131 // Build the tracks list if it is not yet created (late initialization)
2132 // and adds the new track to the list.
2135 fTracks = new TClonesArray("AliTRDtrackV1", AliTRDgeometry::Nsector()*kMaxTracksStack);
2136 fTracks->SetOwner(kTRUE);
2138 Int_t nentries = fTracks->GetEntriesFast();
2139 return new ((*fTracks)[nentries]) AliTRDtrackV1(*track);
2144 //____________________________________________________________________
2145 Int_t AliTRDtrackerV1::Clusters2TracksSM(Int_t sector, AliESDEvent *esd)
2148 // Steer tracking for one SM.
2151 // sector : Array of (SM) propagation layers containing clusters
2152 // esd : The current ESD event. On output it contains the also
2153 // the ESD (TRD) tracks found in this SM.
2156 // Number of tracks found in this TRD supermodule.
2158 // Detailed description
2160 // 1. Unpack AliTRDpropagationLayers objects for each stack.
2161 // 2. Launch stack tracking.
2162 // See AliTRDtrackerV1::Clusters2TracksStack() for details.
2163 // 3. Pack results in the ESD event.
2167 Int_t nChambers = 0;
2168 AliTRDtrackingChamber **stack = NULL, *chamber = NULL;
2169 for(int istack = 0; istack<AliTRDgeometry::kNstack; istack++){
2170 if(!(stack = fTrSec[sector].GetStack(istack))) continue;
2172 for(int ilayer=0; ilayer<AliTRDgeometry::kNlayer; ilayer++){
2173 if(!(chamber = stack[ilayer])) continue;
2174 if(chamber->GetNClusters() < fgNTimeBins * fkRecoParam->GetFindableClusters()) continue;
2176 //AliInfo(Form("sector %d stack %d layer %d clusters %d", sector, istack, ilayer, chamber->GetNClusters()));
2178 if(nChambers < 4) continue;
2179 //AliInfo(Form("Doing stack %d", istack));
2180 nTracks += Clusters2TracksStack(stack, fTracksESD);
2182 if(nTracks) AliDebug(2, Form("Number of tracks: SM_%02d[%d]", sector, nTracks));
2184 for(int itrack=0; itrack<nTracks; itrack++){
2185 AliESDtrack *esdTrack((AliESDtrack*)(fTracksESD->operator[](itrack)));
2186 Int_t id = esd->AddTrack(esdTrack);
2188 // set ESD id to stand alone TRD tracks
2189 if (fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 0){
2190 esdTrack=esd->GetTrack(id);
2191 TObject *o(NULL); Int_t ic(0);
2192 AliTRDtrackV1 *calibTrack(NULL);
2193 while((o = esdTrack->GetCalibObject(ic++))){
2194 if(!(calibTrack = dynamic_cast<AliTRDtrackV1*>(o))) continue;
2195 calibTrack->SetESDid(esdTrack->GetID());
2201 // Reset Track and Candidate Number
2202 AliTRDtrackerDebug::SetCandidateNumber(0);
2203 AliTRDtrackerDebug::SetTrackNumber(0);
2205 // delete ESD tracks in the array
2206 fTracksESD->Delete();
2210 //____________________________________________________________________
2211 Int_t AliTRDtrackerV1::Clusters2TracksStack(AliTRDtrackingChamber **stack, TClonesArray * const esdTrackList)
2214 // Make tracks in one TRD stack.
2217 // layer : Array of stack propagation layers containing clusters
2218 // esdTrackList : Array of ESD tracks found by the stand alone tracker.
2219 // On exit the tracks found in this stack are appended.
2222 // Number of tracks found in this stack.
2224 // Detailed description
2226 // 1. Find the 3 most useful seeding chambers. See BuildSeedingConfigs() for details.
2227 // 2. Steer AliTRDtrackerV1::MakeSeeds() for 3 seeding layer configurations.
2228 // See AliTRDtrackerV1::MakeSeeds() for more details.
2229 // 3. Arrange track candidates in decreasing order of their quality
2230 // 4. Classify tracks in 5 categories according to:
2231 // a) number of layers crossed
2233 // 5. Sign clusters by tracks in decreasing order of track quality
2234 // 6. Build AliTRDtrack out of seeding tracklets
2236 // 8. Build ESD track and register it to the output list
2239 AliTRDtrackingChamber *chamber = NULL;
2240 AliTRDtrackingChamber **ci = NULL;
2241 AliTRDseedV1 sseed[kMaxTracksStack*6]; // to be initialized
2242 Int_t pars[4]; // MakeSeeds parameters
2244 //Double_t alpha = AliTRDgeometry::GetAlpha();
2245 //Double_t shift = .5 * alpha;
2246 Int_t configs[kNConfigs];
2248 // Purge used clusters from the containers
2250 for(Int_t ic = kNPlanes; ic--; ci++){
2251 if(!(*ci)) continue;
2255 // Build initial seeding configurations
2256 Double_t quality = BuildSeedingConfigs(stack, configs);
2257 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 10){
2258 AliInfo(Form("Plane config %d %d %d Quality %f"
2259 , configs[0], configs[1], configs[2], quality));
2263 // Initialize contors
2264 Int_t ntracks, // number of TRD track candidates
2265 ntracks1, // number of registered TRD tracks/iter
2266 ntracks2 = 0; // number of all registered TRD tracks in stack
2270 Int_t ic = 0; ci = &stack[0];
2271 while(ic<kNPlanes && !(*ci)){ic++; ci++;}
2272 if(!(*ci)) return ntracks2;
2273 Int_t istack = fGeom->GetStack((*ci)->GetDetector());
2276 // Loop over seeding configurations
2277 ntracks = 0; ntracks1 = 0;
2278 for (Int_t iconf = 0; iconf<fkRecoParam->GetNumberOfSeedConfigs(); iconf++) {
2279 pars[0] = configs[iconf];
2282 ntracks = MakeSeeds(stack, &sseed[6*ntracks], pars);
2283 //AliInfo(Form("Number of Tracks after iteration step %d: %d\n", iconf, ntracks));
2284 if(ntracks == kMaxTracksStack) break;
2286 AliDebug(2, Form("Candidate TRD tracks %d in iteration %d.", ntracks, fSieveSeeding));
2289 // Sort the seeds according to their quality
2290 Int_t sort[kMaxTracksStack];
2291 TMath::Sort(ntracks, fTrackQuality, sort, kTRUE);
2292 if(AliLog::GetDebugLevel("TRD", "AliTRDtrackerV1") > 2){
2293 AliDebug(3, "Track candidates classification:");
2294 for (Int_t it(0); it < ntracks; it++) {
2296 printf(" %2d idx[%d] Quality[%e]\n", it, jt, fTrackQuality[jt]);
2300 // Initialize number of tracks so far and logic switches
2301 Int_t ntracks0 = esdTrackList->GetEntriesFast();
2302 Bool_t signedTrack[kMaxTracksStack];
2303 Bool_t fakeTrack[kMaxTracksStack];
2304 for (Int_t i=0; i<ntracks; i++){
2305 signedTrack[i] = kFALSE;
2306 fakeTrack[i] = kFALSE;
2308 //AliInfo("Selecting track candidates ...");
2310 // Sieve clusters in decreasing order of track quality
2311 Int_t jSieve(0), rejectedCandidates(0);
2313 // Check track candidates
2314 rejectedCandidates=0;
2315 for (Int_t itrack = 0; itrack < ntracks; itrack++) {
2316 Int_t trackIndex = sort[itrack];
2317 if (signedTrack[trackIndex] || fakeTrack[trackIndex]) continue;
2319 // Calculate track parameters from tracklets seeds
2324 for (Int_t jLayer = 0; jLayer < kNPlanes; jLayer++) {
2325 Int_t jseed = kNPlanes*trackIndex+jLayer;
2326 sseed[jseed].UpdateUsed();
2327 if(!sseed[jseed].IsOK()) continue;
2328 // check if primary candidate
2329 if (TMath::Abs(sseed[jseed].GetYref(0) / sseed[jseed].GetX0()) < 0.158) findable++;
2330 ncl += sseed[jseed].GetN();
2331 nused += sseed[jseed].GetNUsed();
2335 // Filter duplicated tracks
2337 AliDebug(4, Form("REJECTED : %d idx[%d] quality[%e] tracklets[%d] usedClusters[%d]", itrack, trackIndex, fTrackQuality[trackIndex], nlayers, nused));
2338 fakeTrack[trackIndex] = kTRUE;
2341 if (ncl>0 && Float_t(nused)/ncl >= .25){
2342 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));
2343 fakeTrack[trackIndex] = kTRUE;
2347 AliDebug(4, Form("Candidate[%d] Quality[%e] Tracklets[%d] Findable[%d] Ncl[%d] Nused[%d]", trackIndex, fTrackQuality[trackIndex], nlayers, findable, ncl, nused));
2350 Bool_t skip = kFALSE;
2352 case 0: // select 6 tracklets primary tracks, good quality
2353 if(nlayers > findable || nlayers < kNPlanes) {skip = kTRUE; break;}
2354 if(TMath::Log(1.E-9+fTrackQuality[trackIndex]) < -5.){skip = kTRUE; break;}
2357 case 1: // select shorter primary tracks, good quality
2358 if(findable<4){skip = kTRUE; break;}
2359 if(nlayers < findable){skip = kTRUE; break;}
2360 if(TMath::Log(1.E-9+fTrackQuality[trackIndex]) < -4.){skip = kTRUE; break;}
2363 case 2: // select 6 tracklets secondary tracks
2364 if(nlayers < kNPlanes) { skip = kTRUE; break;}
2365 if (TMath::Log(1.E-9+fTrackQuality[trackIndex]) < -6.0){skip = kTRUE; break;}
2368 case 3: // select shorter tracks, good quality
2369 if (nlayers<4){skip = kTRUE; break;}
2370 if (TMath::Log(1.E-9+fTrackQuality[trackIndex]) < -5.){skip = kTRUE; break;}
2373 case 4: // select anything with at least 4 tracklets
2374 if (nlayers<4){skip = kTRUE; break;}
2375 //if (TMath::Log(1.E-9+fTrackQuality[trackIndex]) - nused/(nlayers-3.0) < -15.0){skip = kTRUE; break;}
2379 rejectedCandidates++;
2380 AliDebug(4, Form("REJECTED : %d idx[%d] quality[%e] tracklets[%d] usedClusters[%d]", itrack, trackIndex, fTrackQuality[trackIndex], nlayers, nused));
2382 } else AliDebug(4, Form("ACCEPTED : %d idx[%d] quality[%e] tracklets[%d] usedClusters[%d]", itrack, trackIndex, fTrackQuality[trackIndex], nlayers, nused));
2384 signedTrack[trackIndex] = kTRUE;
2386 AliTRDseedV1 *lseed =&sseed[trackIndex*kNPlanes];
2387 AliTRDtrackV1 *track = MakeTrack(lseed);
2389 AliDebug(1, "Track building failed.");
2392 if(AliLog::GetDebugLevel("TRD", "AliTRDtrackerV1") > 1){
2393 Int_t ich = 0; while(!(chamber = stack[ich])) ich++;
2394 AliDebug(2, Form("Track pt=%7.2fGeV/c SM[%2d] Done.", track->Pt(), fGeom->GetSector(chamber->GetDetector())));
2398 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 1 && fkReconstructor->IsDebugStreaming()){
2399 //AliInfo(Form("Track %d [%d] nlayers %d trackQuality = %e nused %d, yref = %3.3f", itrack, trackIndex, nlayers, fTrackQuality[trackIndex], nused, trackParams[1]));
2401 AliTRDseedV1 *dseed[6];
2402 for(Int_t iseed = AliTRDgeometry::kNlayer; iseed--;) dseed[iseed] = new AliTRDseedV1(lseed[iseed]);
2404 //Int_t eventNrInFile = esd->GetEventNumberInFile();
2405 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
2406 Int_t trackNumber = AliTRDtrackerDebug::GetTrackNumber();
2407 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
2408 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
2409 cstreamer << "Clusters2TracksStack"
2410 << "EventNumber=" << eventNumber
2411 << "TrackNumber=" << trackNumber
2412 << "CandidateNumber=" << candidateNumber
2413 << "Iter=" << fSieveSeeding
2414 << "Like=" << fTrackQuality[trackIndex]
2415 << "S0.=" << dseed[0]
2416 << "S1.=" << dseed[1]
2417 << "S2.=" << dseed[2]
2418 << "S3.=" << dseed[3]
2419 << "S4.=" << dseed[4]
2420 << "S5.=" << dseed[5]
2422 << "NLayers=" << nlayers
2423 << "Findable=" << findable
2424 << "NUsed=" << nused
2429 AliESDtrack *esdTrack = new ((*esdTrackList)[ntracks0++]) AliESDtrack();
2430 esdTrack->UpdateTrackParams(track, AliESDtrack::kTRDout);
2431 esdTrack->SetLabel(track->GetLabel());
2432 track->UpdateESDtrack(esdTrack);
2433 // write ESD-friends if neccessary
2434 if (fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 0){
2435 AliTRDtrackV1 *calibTrack = new AliTRDtrackV1(*track);
2436 calibTrack->SetOwner();
2437 esdTrack->AddCalibObject(calibTrack);
2440 AliTRDtrackerDebug::SetTrackNumber(AliTRDtrackerDebug::GetTrackNumber() + 1);
2444 } while(jSieve<5 && rejectedCandidates); // end track candidates sieve
2445 if(!ntracks1) break;
2447 // increment counters
2448 ntracks2 += ntracks1;
2450 if(fkReconstructor->IsHLT()) break;
2453 // Rebuild plane configurations and indices taking only unused clusters into account
2454 quality = BuildSeedingConfigs(stack, configs);
2455 if(quality < 1.E-7) break; //fkReconstructor->GetRecoParam() ->GetPlaneQualityThreshold()) break;
2457 for(Int_t ip = 0; ip < kNPlanes; ip++){
2458 if(!(chamber = stack[ip])) continue;
2459 chamber->Build(fGeom);//Indices(fSieveSeeding);
2462 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 10){
2463 AliInfo(Form("Sieve level %d Plane config %d %d %d Quality %f", fSieveSeeding, configs[0], configs[1], configs[2], quality));
2465 } while(fSieveSeeding<10); // end stack clusters sieve
2469 //AliInfo(Form("Registered TRD tracks %d in stack %d.", ntracks2, pars[1]));
2474 //___________________________________________________________________
2475 Double_t AliTRDtrackerV1::BuildSeedingConfigs(AliTRDtrackingChamber **stack, Int_t *configs)
2478 // Assign probabilities to chambers according to their
2479 // capability of producing seeds.
2483 // layers : Array of stack propagation layers for all 6 chambers in one stack
2484 // configs : On exit array of configuration indexes (see GetSeedingConfig()
2485 // for details) in the decreasing order of their seeding probabilities.
2489 // Return top configuration quality
2491 // Detailed description:
2493 // To each chamber seeding configuration (see GetSeedingConfig() for
2494 // the list of all configurations) one defines 2 quality factors:
2495 // - an apriori topological quality (see GetSeedingConfig() for details) and
2496 // - a data quality based on the uniformity of the distribution of
2497 // clusters over the x range (time bins population). See CookChamberQA() for details.
2498 // The overall chamber quality is given by the product of this 2 contributions.
2501 Double_t chamberQ[kNPlanes];memset(chamberQ, 0, kNPlanes*sizeof(Double_t));
2502 AliTRDtrackingChamber *chamber = NULL;
2503 for(int iplane=0; iplane<kNPlanes; iplane++){
2504 if(!(chamber = stack[iplane])) continue;
2505 chamberQ[iplane] = (chamber = stack[iplane]) ? chamber->GetQuality() : 0.;
2508 Double_t tconfig[kNConfigs];memset(tconfig, 0, kNConfigs*sizeof(Double_t));
2509 Int_t planes[] = {0, 0, 0, 0};
2510 for(int iconf=0; iconf<kNConfigs; iconf++){
2511 GetSeedingConfig(iconf, planes);
2512 tconfig[iconf] = fgTopologicQA[iconf];
2513 for(int iplane=0; iplane<4; iplane++) tconfig[iconf] *= chamberQ[planes[iplane]];
2516 TMath::Sort((Int_t)kNConfigs, tconfig, configs, kTRUE);
2517 // AliInfo(Form("q[%d] = %f", configs[0], tconfig[configs[0]]));
2518 // AliInfo(Form("q[%d] = %f", configs[1], tconfig[configs[1]]));
2519 // AliInfo(Form("q[%d] = %f", configs[2], tconfig[configs[2]]));
2521 return tconfig[configs[0]];
2524 //____________________________________________________________________
2525 Int_t AliTRDtrackerV1::MakeSeeds(AliTRDtrackingChamber **stack, AliTRDseedV1 * const sseed, const Int_t * const ipar)
2528 // Seed tracklets and build candidate TRD tracks. The procedure is used during barrel tracking to account for tracks which are
2529 // either missed by TPC prolongation or conversions inside the TRD volume.
2530 // For stand alone tracking the procedure is used to estimate all tracks measured by TRD.
2533 // layers : Array of stack propagation layers containing clusters
2534 // sseed : Array of empty tracklet seeds. On exit they are filled.
2535 // ipar : Control parameters:
2536 // ipar[0] -> seeding chambers configuration
2537 // ipar[1] -> stack index
2538 // ipar[2] -> number of track candidates found so far
2541 // Number of tracks candidates found.
2543 // The following steps are performed:
2544 // 1. Build seeding layers by collapsing all time bins from each of the four seeding chambers along the
2545 // radial coordinate. See AliTRDtrackingChamber::GetSeedingLayer() for details. The chambers selection for seeding
2546 // is described in AliTRDtrackerV1::Clusters2TracksStack().
2547 // 2. Using the seeding clusters from the seeding layer (step 1) build combinatorics using the following algorithm:
2548 // - for each seeding cluster in the lower seeding layer find
2549 // - all seeding clusters in the upper seeding layer inside a road defined by a given phi angle. The angle
2550 // is calculated on the minimum pt of tracks from vertex accesible to the stand alone tracker.
2551 // - for each pair of two extreme seeding clusters select middle upper cluster using roads defined externally by the
2553 // - select last seeding cluster as the nearest to the linear approximation of the track described by the first three
2554 // seeding clusters.
2555 // The implementation of road calculation and cluster selection can be found in the functions AliTRDchamberTimeBin::BuildCond()
2556 // and AliTRDchamberTimeBin::GetClusters().
2557 // 3. Helix fit of the seeding clusters set. (see AliTRDtrackerFitter::FitRieman(AliTRDcluster**)). No tilt correction is
2558 // performed at this level
2559 // 4. Initialize seeding tracklets in the seeding chambers.
2560 // 5. *Filter 0* Chi2 cut on the Y and Z directions. The threshold is set externally by the reco params.
2561 // 6. Attach (true) clusters to seeding tracklets (see AliTRDseedV1::AttachClusters()) and fit tracklet (see
2562 // AliTRDseedV1::Fit()). The number of used clusters used by current seeds should not exceed ... (25).
2563 // 7. *Filter 1* Check if all 4 seeding tracklets are correctly constructed.
2564 // 8. Helix fit of the clusters from the seeding tracklets with tilt correction. Refit tracklets using the new
2565 // approximation of the track.
2566 // 9. *Filter 2* Calculate likelihood of the track. (See AliTRDtrackerV1::CookLikelihood()). The following quantities are
2567 // checked against the Riemann fit:
2568 // - position resolution in y
2569 // - angular resolution in the bending plane
2570 // - likelihood of the number of clusters attached to the tracklet
2571 // 10. Extrapolation of the helix fit to the other 2 chambers *non seeding* chambers:
2572 // - Initialization of extrapolation tracklets with the fit parameters
2573 // - Attach clusters to extrapolated tracklets
2574 // - Helix fit of tracklets
2575 // 11. Improve seeding tracklets quality by reassigning clusters based on the last parameters of the track
2576 // See AliTRDtrackerV1::ImproveSeedQuality() for details.
2577 // 12. Helix fit of all 6 seeding tracklets and chi2 calculation
2578 // 13. Hyperplane fit and track quality calculation. See AliTRDtrackerFitter::FitHyperplane() for details.
2579 // 14. Cooking labels for tracklets. Should be done only for MC
2580 // 15. Register seeds.
2583 // Marian Ivanov <M.Ivanov@gsi.de>
2584 // Alexandru Bercuci <A.Bercuci@gsi.de>
2585 // Markus Fasel <M.Fasel@gsi.de>
2587 AliTRDtrackingChamber *chamber = NULL;
2588 AliTRDcluster *c[kNSeedPlanes] = {NULL, NULL, NULL, NULL}; // initilize seeding clusters
2589 AliTRDseedV1 *cseed = &sseed[0]; // initialize tracklets for first track
2590 Int_t ncl, mcl; // working variable for looping over clusters
2591 Int_t index[AliTRDchamberTimeBin::kMaxClustersLayer], jndex[AliTRDchamberTimeBin::kMaxClustersLayer];
2593 // chi2[0] = tracklet chi2 on the Z direction
2594 // chi2[1] = tracklet chi2 on the R direction
2597 // this should be data member of AliTRDtrack TODO
2598 Double_t seedQuality[kMaxTracksStack];
2600 // unpack control parameters
2601 Int_t config = ipar[0];
2602 Int_t ntracks = ipar[1];
2603 Int_t istack = ipar[2];
2604 Int_t planes[kNSeedPlanes]; GetSeedingConfig(config, planes);
2605 Int_t planesExt[kNPlanes-kNSeedPlanes]; GetExtrapolationConfig(config, planesExt);
2608 // Init chambers geometry
2609 Double_t hL[kNPlanes]; // Tilting angle
2610 Float_t padlength[kNPlanes]; // pad lenghts
2611 Float_t padwidth[kNPlanes]; // pad widths
2612 AliTRDpadPlane *pp = NULL;
2613 for(int iplane=0; iplane<kNPlanes; iplane++){
2614 pp = fGeom->GetPadPlane(iplane, istack);
2615 hL[iplane] = TMath::Tan(TMath::DegToRad()*pp->GetTiltingAngle());
2616 padlength[iplane] = pp->GetLengthIPad();
2617 padwidth[iplane] = pp->GetWidthIPad();
2620 // Init anode wire position for chambers
2621 Double_t x0[kNPlanes], // anode wire position
2622 driftLength = .5*AliTRDgeometry::AmThick() - AliTRDgeometry::DrThick(); // drift length
2623 TGeoHMatrix *matrix = NULL;
2624 Double_t loc[] = {AliTRDgeometry::AnodePos(), 0., 0.};
2625 Double_t glb[] = {0., 0., 0.};
2626 AliTRDtrackingChamber **cIter = &stack[0];
2627 for(int iLayer=0; iLayer<kNPlanes; iLayer++,cIter++){
2628 if(!(*cIter)) continue;
2629 if(!(matrix = fGeom->GetClusterMatrix((*cIter)->GetDetector()))){
2631 x0[iLayer] = fgkX0[iLayer];
2633 matrix->LocalToMaster(loc, glb);
2634 x0[iLayer] = glb[0];
2637 AliDebug(2, Form("Making seeds Stack[%d] Config[%d] Tracks[%d]...", istack, config, ntracks));
2639 // Build seeding layers
2642 for(int isl=0; isl<kNSeedPlanes; isl++){
2643 if(!(chamber = stack[planes[isl]])) continue;
2644 if(!chamber->GetSeedingLayer(fSeedTB[isl], fGeom, fkReconstructor)) continue;
2647 if(nlayers < kNSeedPlanes) return ntracks;
2650 // Start finding seeds
2651 Double_t cond0[4], cond1[4], cond2[4];
2653 while((c[3] = (*fSeedTB[3])[icl++])){
2655 fSeedTB[0]->BuildCond(c[3], cond0, 0);
2656 fSeedTB[0]->GetClusters(cond0, index, ncl);
2657 //printf("Found c[3] candidates 0 %d\n", ncl);
2660 c[0] = (*fSeedTB[0])[index[jcl++]];
2662 Double_t dx = c[3]->GetX() - c[0]->GetX();
2663 Double_t dzdx = (c[3]->GetZ() - c[0]->GetZ())/dx;
2664 Double_t dydx = (c[3]->GetY() - c[0]->GetY())/dx;
2665 fSeedTB[1]->BuildCond(c[0], cond1, 1, dzdx, dydx);
2666 fSeedTB[1]->GetClusters(cond1, jndex, mcl);
2667 //printf("Found c[0] candidates 1 %d\n", mcl);
2671 c[1] = (*fSeedTB[1])[jndex[kcl++]];
2673 fSeedTB[2]->BuildCond(c[1], cond2, 2, dzdx, dydx);
2674 c[2] = fSeedTB[2]->GetNearestCluster(cond2);
2675 //printf("Found c[1] candidate 2 %p\n", c[2]);
2678 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].",
2679 c[0]->GetX(), c[0]->GetY(), c[0]->GetZ(),
2680 c[1]->GetX(), c[1]->GetY(), c[1]->GetZ(),
2681 c[2]->GetX(), c[2]->GetY(), c[2]->GetZ(),
2682 c[3]->GetX(), c[3]->GetY(), c[3]->GetZ()));
2684 for (Int_t il = 0; il < kNPlanes; il++) cseed[il].Reset();
2688 AliTRDseedV1 *tseed = &cseed[0];
2690 for(int iLayer=0; iLayer<kNPlanes; iLayer++, tseed++, cIter++){
2691 Int_t det = (*cIter) ? (*cIter)->GetDetector() : -1;
2692 tseed->SetDetector(det);
2693 tseed->SetTilt(hL[iLayer]);
2694 tseed->SetPadLength(padlength[iLayer]);
2695 tseed->SetPadWidth(padwidth[iLayer]);
2696 tseed->SetReconstructor(fkReconstructor);
2697 tseed->SetX0(det<0 ? fR[iLayer]+driftLength : x0[iLayer]);
2698 tseed->Init(GetRiemanFitter());
2699 tseed->SetStandAlone(kTRUE);
2702 Bool_t isFake = kFALSE;
2703 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) >= 2 && fkReconstructor->IsDebugStreaming()){
2704 if (c[0]->GetLabel(0) != c[3]->GetLabel(0)) isFake = kTRUE;
2705 if (c[1]->GetLabel(0) != c[3]->GetLabel(0)) isFake = kTRUE;
2706 if (c[2]->GetLabel(0) != c[3]->GetLabel(0)) isFake = kTRUE;
2709 for(Int_t l = 0; l < kNSeedPlanes; l++) xpos[l] = fSeedTB[l]->GetX();
2711 for(int il=0; il<4; il++) yref[il] = cseed[planes[il]].GetYref(0);
2712 Int_t ll = c[3]->GetLabel(0);
2713 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
2714 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
2715 AliRieman *rim = GetRiemanFitter();
2716 TTreeSRedirector &cs0 = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
2718 <<"EventNumber=" << eventNumber
2719 <<"CandidateNumber=" << candidateNumber
2720 <<"isFake=" << isFake
2721 <<"config=" << config
2723 <<"chi2z=" << chi2[0]
2724 <<"chi2y=" << chi2[1]
2725 <<"Y2exp=" << cond2[0]
2726 <<"Z2exp=" << cond2[1]
2727 <<"X0=" << xpos[0] //layer[sLayer]->GetX()
2728 <<"X1=" << xpos[1] //layer[sLayer + 1]->GetX()
2729 <<"X2=" << xpos[2] //layer[sLayer + 2]->GetX()
2730 <<"X3=" << xpos[3] //layer[sLayer + 3]->GetX()
2731 <<"yref0=" << yref[0]
2732 <<"yref1=" << yref[1]
2733 <<"yref2=" << yref[2]
2734 <<"yref3=" << yref[3]
2739 <<"Seed0.=" << &cseed[planes[0]]
2740 <<"Seed1.=" << &cseed[planes[1]]
2741 <<"Seed2.=" << &cseed[planes[2]]
2742 <<"Seed3.=" << &cseed[planes[3]]
2743 <<"RiemanFitter.=" << rim
2746 if(chi2[0] > fkRecoParam->GetChi2Z()/*7./(3. - sLayer)*//*iter*/){
2747 AliDebug(3, Form("Filter on chi2Z [%f].", chi2[0]));
2748 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2751 if(chi2[1] > fkRecoParam->GetChi2Y()/*1./(3. - sLayer)*//*iter*/){
2752 AliDebug(3, Form("Filter on chi2Y [%f].", chi2[1]));
2753 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2756 //AliInfo("Passed chi2 filter.");
2758 // try attaching clusters to tracklets
2760 AliTRDcluster *cl = NULL;
2761 for(int iLayer=0; iLayer<kNSeedPlanes; iLayer++){
2762 Int_t jLayer = planes[iLayer];
2763 Int_t nNotInChamber = 0;
2764 if(!cseed[jLayer].AttachClusters(stack[jLayer], kTRUE)) continue;
2765 if(/*fkReconstructor->IsHLT()*/kFALSE){
2766 cseed[jLayer].UpdateUsed();
2767 if(!cseed[jLayer].IsOK()) continue;
2769 cseed[jLayer].Fit();
2770 cseed[jLayer].UpdateUsed();
2771 cseed[jLayer].ResetClusterIter();
2772 while((cl = cseed[jLayer].NextCluster())){
2773 if(!cl->IsInChamber()) nNotInChamber++;
2775 //printf("clusters[%d], used[%d], not in chamber[%d]\n", cseed[jLayer].GetN(), cseed[jLayer].GetNUsed(), nNotInChamber);
2776 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
2781 if(mlayers < kNSeedPlanes){
2782 AliDebug(2, Form("Found only %d tracklets out of %d. Skip.", mlayers, kNSeedPlanes));
2783 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2787 // temporary exit door for the HLT
2788 if(fkReconstructor->IsHLT()){
2789 // attach clusters to extrapolation chambers
2790 for(int iLayer=0; iLayer<kNPlanes-kNSeedPlanes; iLayer++){
2791 Int_t jLayer = planesExt[iLayer];
2792 if(!(chamber = stack[jLayer])) continue;
2793 if(!cseed[jLayer].AttachClusters(chamber, kTRUE)) continue;
2794 cseed[jLayer].Fit();
2796 //FitTiltedRiemanConstraint(&cseed[0], GetZ());
2797 fTrackQuality[ntracks] = 1.; // dummy value
2799 if(ntracks == kMaxTracksStack) return ntracks;
2805 // Update Seeds and calculate Likelihood
2806 // fit tracklets and cook likelihood
2807 Double_t chi2Vals[4];
2808 chi2Vals[0] = FitTiltedRieman(&cseed[0], kTRUE);
2809 for(int iLayer=0; iLayer<kNSeedPlanes; iLayer++){
2810 Int_t jLayer = planes[iLayer];
2811 cseed[jLayer].Fit(1);
2813 Double_t like = CookLikelihood(&cseed[0], planes); // to be checked
2815 if (TMath::Log(1.E-9 + like) < fkRecoParam->GetTrackLikelihood()){
2816 AliDebug(3, Form("Filter on likelihood %f[%e].", TMath::Log(1.E-9 + like), like));
2817 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2820 //AliInfo(Form("Passed likelihood %f[%e].", TMath::Log(1.E-9 + like), like));
2822 // book preliminary results
2823 seedQuality[ntracks] = like;
2824 fSeedLayer[ntracks] = config;/*sLayer;*/
2826 // attach clusters to the extrapolation seeds
2828 for(int iLayer=0; iLayer<kNPlanes-kNSeedPlanes; iLayer++){
2829 Int_t jLayer = planesExt[iLayer];
2830 if(!(chamber = stack[jLayer])) continue;
2832 // fit extrapolated seed
2833 if ((jLayer == 0) && !(cseed[1].IsOK())) continue;
2834 if ((jLayer == 5) && !(cseed[4].IsOK())) continue;
2835 AliTRDseedV1 pseed = cseed[jLayer];
2836 if(!pseed.AttachClusters(chamber, kTRUE)) continue;
2838 cseed[jLayer] = pseed;
2839 chi2Vals[0] = FitTiltedRieman(cseed, kTRUE);
2840 cseed[jLayer].Fit(1);
2844 // AliInfo("Extrapolation done.");
2845 // Debug Stream containing all the 6 tracklets
2846 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) >= 2 && fkReconstructor->IsDebugStreaming()){
2847 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
2848 TLinearFitter *tiltedRieman = GetTiltedRiemanFitter();
2849 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
2850 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
2851 cstreamer << "MakeSeeds1"
2852 << "EventNumber=" << eventNumber
2853 << "CandidateNumber=" << candidateNumber
2854 << "S0.=" << &cseed[0]
2855 << "S1.=" << &cseed[1]
2856 << "S2.=" << &cseed[2]
2857 << "S3.=" << &cseed[3]
2858 << "S4.=" << &cseed[4]
2859 << "S5.=" << &cseed[5]
2860 << "FitterT.=" << tiltedRieman
2864 if(fkRecoParam->HasImproveTracklets()){
2865 if(!ImproveSeedQuality(stack, cseed, chi2Vals[0])){
2866 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2867 AliDebug(3, "ImproveSeedQuality() failed.");
2871 // do track fitting with vertex constraint
2872 if(fkRecoParam->IsVertexConstrained()) chi2Vals[1] = FitTiltedRiemanConstraint(&cseed[0], GetZ());
2873 else chi2Vals[1] = -1.;
2874 chi2Vals[2] = GetChi2Z(&cseed[0]);
2875 chi2Vals[3] = GetChi2Phi(&cseed[0]);
2877 // calculate track quality
2878 fTrackQuality[ntracks] = CalculateTrackLikelihood(&chi2Vals[0]);
2880 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) >= 2 && fkReconstructor->IsDebugStreaming()){
2881 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
2882 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
2883 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
2884 TLinearFitter *fitterTC = GetTiltedRiemanFitterConstraint();
2885 TLinearFitter *fitterT = GetTiltedRiemanFitter();
2887 for(Int_t iseed = 0; iseed < kNPlanes; iseed++){
2888 ncls += cseed[iseed].IsOK() ? cseed[iseed].GetN2() : 0;
2890 cstreamer << "MakeSeeds2"
2891 << "EventNumber=" << eventNumber
2892 << "CandidateNumber=" << candidateNumber
2893 << "Chi2TR=" << chi2Vals[0]
2894 << "Chi2TC=" << chi2Vals[1]
2895 << "Nlayers=" << mlayers
2896 << "NClusters=" << ncls
2898 << "S0.=" << &cseed[0]
2899 << "S1.=" << &cseed[1]
2900 << "S2.=" << &cseed[2]
2901 << "S3.=" << &cseed[3]
2902 << "S4.=" << &cseed[4]
2903 << "S5.=" << &cseed[5]
2904 << "FitterT.=" << fitterT
2905 << "FitterTC.=" << fitterTC
2908 if(AliLog::GetDebugLevel("TRD", "AliTRDtrackerV1")){
2909 Double_t pt[]={0., 0.};
2910 for(Int_t il(0); il<kNPlanes; il++){
2911 if(!cseed[il].IsOK()) continue;
2912 pt[0] = GetBz()*kB2C/cseed[il].GetC();
2913 pt[1] = GetBz()*kB2C/cseed[il].GetC(1);
2916 AliDebug(2, Form("Candidate[%2d] pt[%7.3f %7.3f] Q[%e]\n"
2917 " [0] x[%6.2f] n[%2d] nu[%d] OK[%c]\n"
2918 " [1] x[%6.2f] n[%2d] nu[%d] OK[%c]\n"
2919 " [2] x[%6.2f] n[%2d] nu[%d] OK[%c]\n"
2920 " [3] x[%6.2f] n[%2d] nu[%d] OK[%c]\n"
2921 " [4] x[%6.2f] n[%2d] nu[%d] OK[%c]\n"
2922 " [5] x[%6.2f] n[%2d] nu[%d] OK[%c]"
2923 , ntracks, pt[0], pt[1], fTrackQuality[ntracks]
2924 ,cseed[0].GetX(), cseed[0].GetN(), cseed[0].GetNUsed(), cseed[0].IsOK()?'y':'n'
2925 ,cseed[1].GetX(), cseed[1].GetN(), cseed[1].GetNUsed(), cseed[1].IsOK()?'y':'n'
2926 ,cseed[2].GetX(), cseed[2].GetN(), cseed[2].GetNUsed(), cseed[2].IsOK()?'y':'n'
2927 ,cseed[3].GetX(), cseed[3].GetN(), cseed[3].GetNUsed(), cseed[3].IsOK()?'y':'n'
2928 ,cseed[4].GetX(), cseed[4].GetN(), cseed[4].GetNUsed(), cseed[4].IsOK()?'y':'n'
2929 ,cseed[5].GetX(), cseed[5].GetN(), cseed[5].GetNUsed(), cseed[5].IsOK()?'y':'n'));
2932 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2933 if(ntracks == kMaxTracksStack){
2934 AliWarning(Form("Number of seeds reached maximum allowed (%d) in stack.", kMaxTracksStack));
2945 //_____________________________________________________________________________
2946 AliTRDtrackV1* AliTRDtrackerV1::MakeTrack(AliTRDseedV1 * const tracklet)
2949 // Build a TRD track out of tracklet candidates
2952 // seeds : array of tracklets
2953 // params : array of track parameters as they are estimated by stand alone tracker. 7 elements.
2954 // [0] - radial position of the track at reference point
2955 // [1] - y position of the fit at [0]
2956 // [2] - z position of the fit at [0]
2957 // [3] - snp of the first tracklet
2958 // [4] - tgl of the first tracklet
2959 // [5] - curvature of the Riemann fit - 1/pt
2960 // [6] - sector rotation angle
2965 // Initialize the TRD track based on the parameters of the fit and a parametric covariance matrix
2966 // (diagonal with constant variance terms TODO - correct parameterization)
2968 // In case of HLT just register the tracklets in the tracker and return values of the Riemann fit. For the
2969 // offline case perform a full Kalman filter on the already found tracklets (see AliTRDtrackerV1::FollowBackProlongation()
2970 // for details). Do also MC label calculation and PID if propagation successfully.
2972 if(fkReconstructor->IsHLT()) FitTiltedRiemanConstraint(tracklet, 0);
2973 Double_t alpha = AliTRDgeometry::GetAlpha();
2974 Double_t shift = AliTRDgeometry::GetAlpha()/2.0;
2976 // find first good tracklet
2977 Int_t idx(0); while(idx<kNPlanes && !tracklet[idx].IsOK()) idx++;
2978 if(idx>2){ AliDebug(1, Form("Found suspect track start @ layer idx[%d]\n"
2979 " %c[0] x0[%f] n[%d] nu[%d] OK[%c]\n"
2980 " %c[1] x0[%f] n[%d] nu[%d] OK[%c]\n"
2981 " %c[2] x0[%f] n[%d] nu[%d] OK[%c]\n"
2982 " %c[3] x0[%f] n[%d] nu[%d] OK[%c]\n"
2983 " %c[4] x0[%f] n[%d] nu[%d] OK[%c]\n"
2984 " %c[5] x0[%f] n[%d] nu[%d] OK[%c]"
2986 ,idx==0?'*':' ', tracklet[0].GetX0(), tracklet[0].GetN(), tracklet[0].GetNUsed(), tracklet[0].IsOK()?'y':'n'
2987 ,idx==1?'*':' ', tracklet[1].GetX0(), tracklet[1].GetN(), tracklet[1].GetNUsed(), tracklet[1].IsOK()?'y':'n'
2988 ,idx==2?'*':' ', tracklet[2].GetX0(), tracklet[2].GetN(), tracklet[2].GetNUsed(), tracklet[2].IsOK()?'y':'n'
2989 ,idx==3?'*':' ', tracklet[3].GetX0(), tracklet[3].GetN(), tracklet[3].GetNUsed(), tracklet[3].IsOK()?'y':'n'
2990 ,idx==4?'*':' ', tracklet[4].GetX0(), tracklet[4].GetN(), tracklet[4].GetNUsed(), tracklet[4].IsOK()?'y':'n'
2991 ,idx==5?'*':' ', tracklet[5].GetX0(), tracklet[5].GetN(), tracklet[5].GetNUsed(), tracklet[5].IsOK()?'y':'n'));
2996 Double_t x(tracklet[idx].GetX0() - dx);
2997 // Build track parameters
2998 Double_t params[] = {
2999 tracklet[idx].GetYref(0) - dx*tracklet[idx].GetYref(1) // y
3000 ,tracklet[idx].GetZref(0) - dx*tracklet[idx].GetZref(1) // z
3001 ,TMath::Sin(TMath::ATan(tracklet[idx].GetYref(1))) // snp
3002 ,tracklet[idx].GetZref(1) / TMath::Sqrt(1. + tracklet[idx].GetYref(1) * tracklet[idx].GetYref(1)) // tgl
3003 ,tracklet[idx].GetC(fkReconstructor->IsHLT()?1:0) // curvature -> 1/pt
3005 Int_t sector(fGeom->GetSector(tracklet[idx].GetDetector()));
3008 c[ 0] = 0.2; // s^2_y
3009 c[ 1] = 0.0; c[ 2] = 2.0; // s^2_z
3010 c[ 3] = 0.0; c[ 4] = 0.0; c[ 5] = 0.02; // s^2_snp
3011 c[ 6] = 0.0; c[ 7] = 0.0; c[ 8] = 0.0; c[ 9] = 0.1; // s^2_tgl
3012 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
3014 AliTRDtrackV1 track(tracklet, params, c, x, sector*alpha+shift);
3016 AliTRDseedV1 *ptrTracklet = NULL;
3018 // skip Kalman filter for HLT
3019 if(/*fkReconstructor->IsHLT()*/kFALSE){
3020 for (Int_t jLayer = 0; jLayer < AliTRDgeometry::kNlayer; jLayer++) {
3021 track.UnsetTracklet(jLayer);
3022 ptrTracklet = &tracklet[jLayer];
3023 if(!ptrTracklet->IsOK()) continue;
3024 if(TMath::Abs(ptrTracklet->GetYref(1) - ptrTracklet->GetYfit(1)) >= .2) continue; // check this condition with Marian
3025 ptrTracklet = SetTracklet(ptrTracklet);
3026 ptrTracklet->UseClusters();
3027 track.SetTracklet(ptrTracklet, fTracklets->GetEntriesFast()-1);
3029 AliTRDtrackV1 *ptrTrack = SetTrack(&track);
3030 ptrTrack->CookPID();
3031 ptrTrack->CookLabel(.9);
3032 ptrTrack->SetReconstructor(fkReconstructor);
3036 // prevent the error message in AliTracker::MeanMaterialBudget: "start point out of geometry"
3037 if(TMath::Abs(track.GetX()) + TMath::Abs(track.GetY()) + TMath::Abs(track.GetZ()) > 10000) return NULL;
3039 track.ResetCovariance(1);
3040 Int_t nc = TMath::Abs(FollowBackProlongation(track));
3041 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 5 && fkReconstructor->IsDebugStreaming()){
3042 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
3043 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
3044 Double_t p[5]; // Track Params for the Debug Stream
3045 track.GetExternalParameters(x, p);
3046 TTreeSRedirector &cs = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
3048 << "EventNumber=" << eventNumber
3049 << "CandidateNumber=" << candidateNumber
3057 << "Yin=" << params[0]
3058 << "Zin=" << params[1]
3059 << "snpin=" << params[2]
3060 << "tndin=" << params[3]
3061 << "crvin=" << params[4]
3062 << "track.=" << &track
3066 UnsetTrackletsTrack(&track);
3069 AliTRDtrackV1 *ptrTrack = SetTrack(&track);
3070 ptrTrack->SetReconstructor(fkReconstructor);
3071 ptrTrack->CookLabel(.9);
3072 for(Int_t il(kNPlanes); il--;){
3073 if(!(ptrTracklet = ptrTrack->GetTracklet(il))) continue;
3074 ptrTracklet->UseClusters();
3077 // computes PID for track
3078 ptrTrack->CookPID();
3079 // update calibration references using this track
3080 AliTRDCalibraFillHisto *calibra = AliTRDCalibraFillHisto::Instance();
3082 AliInfo("Could not get Calibra instance\n");
3083 if(calibra->GetHisto2d()) calibra->UpdateHistogramsV1(ptrTrack);
3089 //____________________________________________________________________
3090 Bool_t AliTRDtrackerV1::ImproveSeedQuality(AliTRDtrackingChamber **stack, AliTRDseedV1 *cseed, Double_t &chi2)
3093 // Sort tracklets according to "quality" and try to "improve" the first 4 worst
3096 // layers : Array of propagation layers for a stack/supermodule
3097 // cseed : Array of 6 seeding tracklets which has to be improved
3100 // cssed : Improved seeds
3102 // Detailed description
3104 // Iterative procedure in which new clusters are searched for each
3105 // tracklet seed such that the seed quality (see AliTRDseed::GetQuality())
3106 // can be maximized. If some optimization is found the old seeds are replaced.
3111 // make a local working copy
3112 AliTRDtrackingChamber *chamber = NULL;
3113 AliTRDseedV1 bseed[AliTRDgeometry::kNlayer];
3115 Float_t quality(1.e3),
3116 lQuality[] = {1.e3, 1.e3, 1.e3, 1.e3, 1.e3, 1.e3};
3118 for(Int_t jLayer=AliTRDgeometry::kNlayer; jLayer--;){
3119 bseed[jLayer] = cseed[jLayer];
3120 if(!bseed[jLayer].IsOK()) continue;
3122 lQuality[jLayer] = bseed[jLayer].GetQuality(kTRUE);
3123 quality += lQuality[jLayer];
3126 AliDebug(2, Form("Start N[%d] Q[%f] chi2[%f]", rLayers, quality, chi2));
3128 for (Int_t iter = 0; iter < 4; iter++) {
3129 // Try better cluster set
3130 Int_t nLayers(0); Float_t qualitynew(0.);
3132 TMath::Sort(Int_t(AliTRDgeometry::kNlayer), lQuality, indexes, kFALSE);
3133 for(Int_t jLayer=AliTRDgeometry::kNlayer; jLayer--;) {
3134 Int_t bLayer = indexes[jLayer];
3135 bseed[bLayer].Reset("c");
3136 if(!(chamber = stack[bLayer])) continue;
3137 if(!bseed[bLayer].AttachClusters(chamber, kTRUE)) continue;
3138 bseed[bLayer].Fit(1);
3139 if(!bseed[bLayer].IsOK()) continue;
3141 lQuality[jLayer] = bseed[jLayer].GetQuality(kTRUE);
3142 qualitynew += lQuality[jLayer];
3144 if(rLayers > nLayers){
3145 AliDebug(1, Form("Lost %d tracklets while improving.", rLayers-nLayers));
3146 return iter>0?kTRUE:kFALSE;
3147 } else rLayers=nLayers;
3148 qualitynew /= rLayers;
3150 if(qualitynew > quality){
3151 AliDebug(4, Form("Quality[%f] worsen in iter[%d] to ref[%f].", qualitynew, iter, quality));
3152 return iter>0?kTRUE:kFALSE;
3153 } else quality = qualitynew;
3155 // try improve track parameters
3156 Float_t chi2new = FitTiltedRieman(bseed, kTRUE);
3158 AliDebug(4, Form("Chi2[%f] worsen in iter[%d] to ref[%f].", chi2new, iter, chi2));
3159 return iter>0?kTRUE:kFALSE;
3160 } else chi2 = chi2new;
3162 // store better tracklets
3163 for(Int_t jLayer=AliTRDgeometry::kNlayer; jLayer--;) cseed[jLayer]=bseed[jLayer];
3164 AliDebug(2, Form("Iter[%d] Q[%f] chi2[%f]", iter, quality, chi2));
3167 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) >= 7 && fkReconstructor->IsDebugStreaming()){
3168 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
3169 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
3170 TLinearFitter *tiltedRieman = GetTiltedRiemanFitter();
3171 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
3172 cstreamer << "ImproveSeedQuality"
3173 << "EventNumber=" << eventNumber
3174 << "CandidateNumber=" << candidateNumber
3175 << "Iteration=" << iter
3176 << "S0.=" << &cseed[0]
3177 << "S1.=" << &cseed[1]
3178 << "S2.=" << &cseed[2]
3179 << "S3.=" << &cseed[3]
3180 << "S4.=" << &cseed[4]
3181 << "S5.=" << &cseed[5]
3182 << "FitterT.=" << tiltedRieman
3187 // we are sure that at least 4 tracklets are OK !
3191 //_________________________________________________________________________
3192 Double_t AliTRDtrackerV1::CalculateTrackLikelihood(Double_t *chi2){
3194 // Calculates the Track Likelihood value. This parameter serves as main quality criterion for
3195 // the track selection
3196 // The likelihood value containes:
3197 // - The chi2 values from the both fitters and the chi2 values in z-direction from a linear fit
3198 // - The Sum of the Parameter |slope_ref - slope_fit|/Sigma of the tracklets
3199 // For all Parameters an exponential dependency is used
3201 // Parameters: - Array of tracklets (AliTRDseedV1) related to the track candidate
3202 // - Array of chi2 values:
3203 // * Non-Constrained Tilted Riemann fit
3204 // * Vertex-Constrained Tilted Riemann fit
3205 // * z-Direction from Linear fit
3206 // Output: - The calculated track likelihood
3211 // Non-constrained Tilted Riemann
3212 Double_t likeChi2TR = TMath::Exp(-chi2[0] * 0.0078);
3213 // Constrained Tilted Riemann
3214 Double_t likeChi2TC(1.);
3216 likeChi2TC = TMath::Exp(-chi2[1] * 0.677);
3217 Double_t r = likeChi2TC/likeChi2TR;
3218 if(r>1.e2){;} // -> a primary track use TC
3219 else if(r<1.e2) // -> a secondary track use TR
3221 else{;} // -> test not conclusive
3223 // Chi2 only on Z direction
3224 Double_t likeChi2Z = TMath::Exp(-chi2[2] * 0.14);
3225 // Chi2 angular resolution
3226 Double_t likeChi2Phi= TMath::Exp(-chi2[3] * 3.23);
3228 Double_t trackLikelihood = likeChi2Z * likeChi2TR * likeChi2TC * likeChi2Phi;
3230 AliDebug(2, Form("Likelihood [%e]\n"
3231 " Rieman : chi2[%f] likelihood[%6.2e]\n"
3232 " Vertex : chi2[%f] likelihood[%6.2e]\n"
3233 " Z : chi2[%f] likelihood[%6.2e]\n"
3234 " Phi : chi2[%f] likelihood[%6.2e]"
3236 , chi2[0], likeChi2TR
3237 , chi2[1], likeChi2TC
3238 , chi2[2], likeChi2Z
3239 , chi2[3], likeChi2Phi
3242 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) >= 2 && fkReconstructor->IsDebugStreaming()){
3243 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
3244 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
3245 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
3246 cstreamer << "CalculateTrackLikelihood0"
3247 << "EventNumber=" << eventNumber
3248 << "CandidateNumber=" << candidateNumber
3249 << "LikeChi2Z=" << likeChi2Z
3250 << "LikeChi2TR=" << likeChi2TR
3251 << "LikeChi2TC=" << likeChi2TC
3252 << "LikeChi2Phi=" << likeChi2Phi
3253 << "TrackLikelihood=" << trackLikelihood
3257 return trackLikelihood;
3260 //____________________________________________________________________
3261 Double_t AliTRDtrackerV1::CookLikelihood(AliTRDseedV1 *cseed, Int_t planes[4])
3264 // Calculate the probability of this track candidate.
3267 // cseeds : array of candidate tracklets
3268 // planes : array of seeding planes (see seeding configuration)
3269 // chi2 : chi2 values (on the Z and Y direction) from the rieman fit of the track.
3274 // Detailed description
3276 // The track quality is estimated based on the following 4 criteria:
3277 // 1. precision of the rieman fit on the Y direction (likea)
3278 // 2. chi2 on the Y direction (likechi2y)
3279 // 3. chi2 on the Z direction (likechi2z)
3280 // 4. number of attached clusters compared to a reference value
3281 // (see AliTRDrecoParam::fkFindable) (likeN)
3283 // The distributions for each type of probabilities are given below as of
3284 // (date). They have to be checked to assure consistency of estimation.
3287 // ratio of the total number of clusters/track which are expected to be found by the tracker.
3288 Double_t chi2y = GetChi2Y(&cseed[0]);
3289 Double_t chi2z = GetChi2Z(&cseed[0]);
3291 Float_t nclusters = 0.;
3292 Double_t sumda = 0.;
3293 for(UChar_t ilayer = 0; ilayer < 4; ilayer++){
3294 Int_t jlayer = planes[ilayer];
3295 nclusters += cseed[jlayer].GetN2();
3296 sumda += TMath::Abs(cseed[jlayer].GetYfit(1) - cseed[jlayer].GetYref(1));
3300 Double_t likea = TMath::Exp(-sumda * fkRecoParam->GetPhiSlope());
3301 Double_t likechi2y = 0.0000000001;
3302 if (fkReconstructor->IsCosmic() || chi2y < fkRecoParam->GetChi2YCut()) likechi2y += TMath::Exp(-TMath::Sqrt(chi2y) * fkRecoParam->GetChi2YSlope());
3303 Double_t likechi2z = TMath::Exp(-chi2z * fkRecoParam->GetChi2ZSlope());
3304 Double_t likeN = TMath::Exp(-(fkRecoParam->GetNMeanClusters() - nclusters) / fkRecoParam->GetNSigmaClusters());
3305 Double_t like = likea * likechi2y * likechi2z * likeN;
3307 if(fkRecoParam->GetStreamLevel(AliTRDrecoParam::kTracker) >= 2 && fkReconstructor->IsDebugStreaming()){
3308 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
3309 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
3310 Int_t nTracklets = 0; Float_t meanNcls = 0;
3311 for(Int_t iseed=0; iseed < kNPlanes; iseed++){
3312 if(!cseed[iseed].IsOK()) continue;
3314 meanNcls += cseed[iseed].GetN2();
3316 if(nTracklets) meanNcls /= nTracklets;
3317 // The Debug Stream contains the seed
3318 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
3319 cstreamer << "CookLikelihood"
3320 << "EventNumber=" << eventNumber
3321 << "CandidateNumber=" << candidateNumber
3322 << "tracklet0.=" << &cseed[0]
3323 << "tracklet1.=" << &cseed[1]
3324 << "tracklet2.=" << &cseed[2]
3325 << "tracklet3.=" << &cseed[3]
3326 << "tracklet4.=" << &cseed[4]
3327 << "tracklet5.=" << &cseed[5]
3328 << "sumda=" << sumda
3329 << "chi2y=" << chi2y
3330 << "chi2z=" << chi2z
3331 << "likea=" << likea
3332 << "likechi2y=" << likechi2y
3333 << "likechi2z=" << likechi2z
3334 << "nclusters=" << nclusters
3335 << "likeN=" << likeN
3337 << "meanncls=" << meanNcls
3344 //____________________________________________________________________
3345 void AliTRDtrackerV1::GetSeedingConfig(Int_t iconfig, Int_t planes[4])
3348 // Map seeding configurations to detector planes.
3351 // iconfig : configuration index
3352 // planes : member planes of this configuration. On input empty.
3355 // planes : contains the planes which are defining the configuration
3357 // Detailed description
3359 // Here is the list of seeding planes configurations together with
3360 // their topological classification:
3378 // The topologic quality is modeled as follows:
3379 // 1. The general model is define by the equation:
3380 // p(conf) = exp(-conf/2)
3381 // 2. According to the topologic classification, configurations from the same
3382 // class are assigned the agerage value over the model values.
3383 // 3. Quality values are normalized.
3385 // The topologic quality distribution as function of configuration is given below:
3387 // <img src="gif/topologicQA.gif">
3392 case 0: // 5432 TQ 0
3398 case 1: // 4321 TQ 0
3404 case 2: // 3210 TQ 0
3410 case 3: // 5321 TQ 1
3416 case 4: // 4210 TQ 1
3422 case 5: // 5431 TQ 1
3428 case 6: // 4320 TQ 1
3434 case 7: // 5430 TQ 2
3440 case 8: // 5210 TQ 2
3446 case 9: // 5421 TQ 3
3452 case 10: // 4310 TQ 3
3458 case 11: // 5410 TQ 4
3464 case 12: // 5420 TQ 5
3470 case 13: // 5320 TQ 5
3476 case 14: // 5310 TQ 5
3485 //____________________________________________________________________
3486 void AliTRDtrackerV1::GetExtrapolationConfig(Int_t iconfig, Int_t planes[2])
3489 // Returns the extrapolation planes for a seeding configuration.
3492 // iconfig : configuration index
3493 // planes : planes which are not in this configuration. On input empty.
3496 // planes : contains the planes which are not in the configuration
3498 // Detailed description
3502 case 0: // 5432 TQ 0
3506 case 1: // 4321 TQ 0
3510 case 2: // 3210 TQ 0
3514 case 3: // 5321 TQ 1
3518 case 4: // 4210 TQ 1
3522 case 5: // 5431 TQ 1
3526 case 6: // 4320 TQ 1
3530 case 7: // 5430 TQ 2
3534 case 8: // 5210 TQ 2
3538 case 9: // 5421 TQ 3
3542 case 10: // 4310 TQ 3
3546 case 11: // 5410 TQ 4
3550 case 12: // 5420 TQ 5
3554 case 13: // 5320 TQ 5
3558 case 14: // 5310 TQ 5
3565 //____________________________________________________________________
3566 AliCluster* AliTRDtrackerV1::GetCluster(Int_t idx) const
3568 if(!fClusters) return NULL;
3569 Int_t ncls = fClusters->GetEntriesFast();
3570 return idx >= 0 && idx < ncls ? (AliCluster*)fClusters->UncheckedAt(idx) : NULL;
3573 //____________________________________________________________________
3574 AliTRDseedV1* AliTRDtrackerV1::GetTracklet(Int_t idx) const
3576 if(!fTracklets) return NULL;
3577 Int_t ntrklt = fTracklets->GetEntriesFast();
3578 return idx >= 0 && idx < ntrklt ? (AliTRDseedV1*)fTracklets->UncheckedAt(idx) : NULL;
3581 //____________________________________________________________________
3582 AliKalmanTrack* AliTRDtrackerV1::GetTrack(Int_t idx) const
3584 if(!fTracks) return NULL;
3585 Int_t ntrk = fTracks->GetEntriesFast();
3586 return idx >= 0 && idx < ntrk ? (AliKalmanTrack*)fTracks->UncheckedAt(idx) : NULL;
3591 // //_____________________________________________________________________________
3592 // Int_t AliTRDtrackerV1::Freq(Int_t n, const Int_t *inlist
3593 // , Int_t *outlist, Bool_t down)
3596 // // Sort eleements according occurancy
3597 // // The size of output array has is 2*n
3604 // Int_t *sindexS = new Int_t[n]; // Temporary array for sorting
3605 // Int_t *sindexF = new Int_t[2*n];
3606 // for (Int_t i = 0; i < n; i++) {
3610 // TMath::Sort(n,inlist,sindexS,down);
3612 // Int_t last = inlist[sindexS[0]];
3613 // Int_t val = last;
3615 // sindexF[0+n] = last;
3616 // Int_t countPos = 0;
3618 // // Find frequency
3619 // for (Int_t i = 1; i < n; i++) {
3620 // val = inlist[sindexS[i]];
3621 // if (last == val) {
3622 // sindexF[countPos]++;
3626 // sindexF[countPos+n] = val;
3627 // sindexF[countPos]++;
3631 // if (last == val) {
3635 // // Sort according frequency
3636 // TMath::Sort(countPos,sindexF,sindexS,kTRUE);
3638 // for (Int_t i = 0; i < countPos; i++) {
3639 // outlist[2*i ] = sindexF[sindexS[i]+n];
3640 // outlist[2*i+1] = sindexF[sindexS[i]];
3643 // delete [] sindexS;
3644 // delete [] sindexF;
3651 //____________________________________________________________________
3652 void AliTRDtrackerV1::ResetSeedTB()
3654 // reset buffer for seeding time bin layers. If the time bin
3655 // layers are not allocated this function allocates them
3657 for(Int_t isl=0; isl<kNSeedPlanes; isl++){
3658 if(!fSeedTB[isl]) fSeedTB[isl] = new AliTRDchamberTimeBin();
3659 else fSeedTB[isl]->Clear();
3664 //_____________________________________________________________________________
3665 Float_t AliTRDtrackerV1::GetChi2Y(const AliTRDseedV1 * const tracklets) const
3667 // Calculates normalized chi2 in y-direction
3668 // chi2 = Sum chi2 / n_tracklets
3670 Double_t chi2 = 0.; Int_t n = 0;
3671 for(Int_t ipl = kNPlanes; ipl--;){
3672 if(!tracklets[ipl].IsOK()) continue;
3673 chi2 += tracklets[ipl].GetChi2Y();
3676 return n ? chi2/n : 0.;
3679 //_____________________________________________________________________________
3680 Float_t AliTRDtrackerV1::GetChi2Z(const AliTRDseedV1 *const tracklets) const
3682 // Calculates normalized chi2 in z-direction
3683 // chi2 = Sum chi2 / n_tracklets
3685 Double_t chi2 = 0; Int_t n = 0;
3686 for(Int_t ipl = kNPlanes; ipl--;){
3687 if(!tracklets[ipl].IsOK()) continue;
3688 chi2 += tracklets[ipl].GetChi2Z();
3691 return n ? chi2/n : 0.;
3694 //_____________________________________________________________________________
3695 Float_t AliTRDtrackerV1::GetChi2Phi(const AliTRDseedV1 *const tracklets) const
3697 // Calculates normalized chi2 for angular resolution
3698 // chi2 = Sum chi2 / n_tracklets
3700 Double_t chi2 = 0; Int_t n = 0;
3701 for (Int_t iLayer = 0; iLayer < kNPlanes; iLayer++) {
3702 if(!tracklets[iLayer].IsOK()) continue;
3703 chi2 += tracklets[iLayer].GetChi2Phi();
3706 return n ? chi2/n: 0.;
3709 //____________________________________________________________________
3710 Float_t AliTRDtrackerV1::CalculateReferenceX(const AliTRDseedV1 *const tracklets){
3712 // Calculates the reference x-position for the tilted Rieman fit defined as middle
3713 // of the stack (middle between layers 2 and 3). For the calculation all the tracklets
3714 // are taken into account
3716 // Parameters: - Array of tracklets(AliTRDseedV1)
3718 // Output: - The reference x-position(Float_t)
3719 // Only kept for compatibility with the old code
3721 Int_t nDistances = 0;
3722 Float_t meanDistance = 0.;
3723 Int_t startIndex = 5;
3724 for(Int_t il =5; il > 0; il--){
3725 if(tracklets[il].IsOK() && tracklets[il -1].IsOK()){
3726 Float_t xdiff = tracklets[il].GetX0() - tracklets[il -1].GetX0();
3727 meanDistance += xdiff;
3730 if(tracklets[il].IsOK()) startIndex = il;
3732 if(tracklets[0].IsOK()) startIndex = 0;
3734 // We should normally never get here
3735 Float_t xpos[2]; memset(xpos, 0, sizeof(Float_t) * 2);
3736 Int_t iok = 0, idiff = 0;
3737 // This attempt is worse and should be avoided:
3738 // check for two chambers which are OK and repeat this without taking the mean value
3739 // Strategy avoids a division by 0;
3740 for(Int_t il = 5; il >= 0; il--){
3741 if(tracklets[il].IsOK()){
3742 xpos[iok] = tracklets[il].GetX0();
3746 if(iok) idiff++; // to get the right difference;
3750 meanDistance = (xpos[0] - xpos[1])/idiff;
3753 // we have do not even have 2 layers which are OK? The we do not need to fit at all
3758 meanDistance /= nDistances;
3760 return tracklets[startIndex].GetX0() + (2.5 - startIndex) * meanDistance - 0.5 * (AliTRDgeometry::AmThick() + AliTRDgeometry::DrThick());
3763 //_____________________________________________________________________________
3764 Double_t AliTRDtrackerV1::FitTiltedRiemanV1(AliTRDseedV1 *const tracklets){
3766 // Track Fitter Function using the new class implementation of
3769 AliTRDtrackFitterRieman fitter;
3770 fitter.SetRiemanFitter(GetTiltedRiemanFitter());
3772 for(Int_t il = 0; il < AliTRDgeometry::kNlayer; il++) fitter.SetTracklet(il, &tracklets[il]);
3773 Double_t chi2 = fitter.Eval();
3774 // Update the tracklets
3775 Double_t cov[15]; Double_t x0;
3776 memset(cov, 0, sizeof(Double_t) * 15);
3777 for(Int_t il = 0; il < AliTRDgeometry::kNlayer; il++){
3778 x0 = tracklets[il].GetX0();
3779 tracklets[il].SetYref(0, fitter.GetYat(x0));
3780 tracklets[il].SetZref(0, fitter.GetZat(x0));
3781 tracklets[il].SetYref(1, fitter.GetDyDxAt(x0));
3782 tracklets[il].SetZref(1, fitter.GetDzDx());
3783 tracklets[il].SetC(fitter.GetCurvature());
3784 fitter.GetCovAt(x0, cov);
3785 tracklets[il].SetCovRef(cov);
3786 tracklets[il].SetChi2(chi2);
3791 //____________________________________________________________________
3792 void AliTRDtrackerV1::UnsetTrackletsTrack(const AliTRDtrackV1 * const track)
3795 for(Int_t il(0); il<kNPlanes; il++){
3796 if((idx = track->GetTrackletIndex(il)) < 0) continue;
3797 delete (fTracklets->RemoveAt(idx));
3802 ///////////////////////////////////////////////////////
3804 // Resources of class AliTRDLeastSquare //
3806 ///////////////////////////////////////////////////////
3808 //_____________________________________________________________________________
3809 AliTRDtrackerV1::AliTRDLeastSquare::AliTRDLeastSquare(){
3811 // Constructor of the nested class AliTRDtrackFitterLeastSquare
3813 // Fast solving linear regresion in 2D
3815 // The data members have the following meaning
3826 // fCovarianceMatrix[0] : s2a
3827 // fCovarianceMatrix[1] : s2b
3828 // fCovarianceMatrix[2] : cov(ab)
3830 memset(fParams, 0, sizeof(Double_t) * 2);
3831 memset(fSums, 0, sizeof(Double_t) * 6);
3832 memset(fCovarianceMatrix, 0, sizeof(Double_t) * 3);
3836 //_____________________________________________________________________________
3837 void AliTRDtrackerV1::AliTRDLeastSquare::AddPoint(const Double_t *const x, Double_t y, Double_t sigmaY){
3839 // Adding Point to the fitter
3842 Double_t weight = 1/(sigmaY > 1e-9 ? sigmaY : 1e-9);
3844 const Double_t &xpt = *x;
3845 // printf("Adding point x = %f, y = %f, sigma = %f\n", xpt, y, sigmaY);
3847 fSums[1] += weight * xpt;
3848 fSums[2] += weight * y;
3849 fSums[3] += weight * xpt * y;
3850 fSums[4] += weight * xpt * xpt;
3851 fSums[5] += weight * y * y;
3854 //_____________________________________________________________________________
3855 void AliTRDtrackerV1::AliTRDLeastSquare::RemovePoint(const Double_t *const x, Double_t y, Double_t sigmaY){
3857 // Remove Point from the sample
3860 Double_t weight = 1/(sigmaY > 1e-9 ? sigmaY : 1e-9);
3862 const Double_t &xpt = *x;
3864 fSums[1] -= weight * xpt;
3865 fSums[2] -= weight * y;
3866 fSums[3] -= weight * xpt * y;
3867 fSums[4] -= weight * xpt * xpt;
3868 fSums[5] -= weight * y * y;
3871 //_____________________________________________________________________________
3872 Bool_t AliTRDtrackerV1::AliTRDLeastSquare::Eval(){
3874 // Evaluation of the fit:
3875 // Calculation of the parameters
3876 // Calculation of the covariance matrix
3879 Double_t det = fSums[0] * fSums[4] - fSums[1] *fSums[1];
3880 if(det==0) return kFALSE;
3882 // for(Int_t isum = 0; isum < 5; isum++)
3883 // printf("fSums[%d] = %f\n", isum, fSums[isum]);
3884 // printf("denominator = %f\n", denominator);
3885 fParams[0] = (fSums[2] * fSums[4] - fSums[1] * fSums[3])/det;
3886 fParams[1] = (fSums[0] * fSums[3] - fSums[1] * fSums[2])/det;
3887 // printf("fParams[0] = %f, fParams[1] = %f\n", fParams[0], fParams[1]);
3889 // Covariance matrix
3890 Double_t den = fSums[0]*fSums[4] - fSums[1]*fSums[1];
3891 fCovarianceMatrix[0] = fSums[4] / den;
3892 fCovarianceMatrix[1] = fSums[0] / den;
3893 fCovarianceMatrix[2] = -fSums[1] / den;
3894 /* fCovarianceMatrix[0] = fSums[4] / fSums[0] - fSums[1] * fSums[1] / (fSums[0] * fSums[0]);
3895 fCovarianceMatrix[1] = fSums[5] / fSums[0] - fSums[2] * fSums[2] / (fSums[0] * fSums[0]);
3896 fCovarianceMatrix[2] = fSums[3] / fSums[0] - fSums[1] * fSums[2] / (fSums[0] * fSums[0]);*/
3903 //_____________________________________________________________________________
3904 Double_t AliTRDtrackerV1::AliTRDLeastSquare::GetFunctionValue(const Double_t *const xpos) const {
3906 // Returns the Function value of the fitted function at a given x-position
3908 return fParams[0] + fParams[1] * (*xpos);
3911 //_____________________________________________________________________________
3912 void AliTRDtrackerV1::AliTRDLeastSquare::GetCovarianceMatrix(Double_t *storage) const {
3914 // Copies the values of the covariance matrix into the storage
3916 memcpy(storage, fCovarianceMatrix, sizeof(Double_t) * 3);
3919 //_____________________________________________________________________________
3920 void AliTRDtrackerV1::AliTRDLeastSquare::Reset(){
3924 memset(fParams, 0, sizeof(Double_t) * 2);
3925 memset(fCovarianceMatrix, 0, sizeof(Double_t) * 3);
3926 memset(fSums, 0, sizeof(Double_t) * 6);
3929 ///////////////////////////////////////////////////////
3931 // Resources of class AliTRDtrackFitterRieman //
3933 ///////////////////////////////////////////////////////
3935 //_____________________________________________________________________________
3936 AliTRDtrackerV1::AliTRDtrackFitterRieman::AliTRDtrackFitterRieman():
3942 fSysClusterError(0.)
3945 // Default constructor
3947 fZfitter = new AliTRDLeastSquare;
3948 fCovarPolY = new TMatrixD(3,3);
3949 fCovarPolZ = new TMatrixD(2,2);
3950 memset(fTracklets, 0, sizeof(AliTRDseedV1 *) * 6);
3951 memset(fParameters, 0, sizeof(Double_t) * 5);
3952 memset(fSumPolY, 0, sizeof(Double_t) * 5);
3953 memset(fSumPolZ, 0, sizeof(Double_t) * 2);
3956 //_____________________________________________________________________________
3957 AliTRDtrackerV1::AliTRDtrackFitterRieman::~AliTRDtrackFitterRieman(){
3961 if(fZfitter) delete fZfitter;
3962 if(fCovarPolY) delete fCovarPolY;
3963 if(fCovarPolZ) delete fCovarPolZ;
3966 //_____________________________________________________________________________
3967 void AliTRDtrackerV1::AliTRDtrackFitterRieman::Reset(){
3972 fTrackFitter->StoreData(kTRUE);
3973 fTrackFitter->ClearPoints();
3979 memset(fTracklets, 0, sizeof(AliTRDseedV1 *) * AliTRDgeometry::kNlayer);
3980 memset(fParameters, 0, sizeof(Double_t) * 5);
3981 memset(fSumPolY, 0, sizeof(Double_t) * 5);
3982 memset(fSumPolZ, 0, sizeof(Double_t) * 2);
3983 for(Int_t irow = 0; irow < fCovarPolY->GetNrows(); irow++)
3984 for(Int_t icol = 0; icol < fCovarPolY->GetNcols(); icol++){
3985 (*fCovarPolY)(irow, icol) = 0.;
3986 if(irow < 2 && icol < 2)
3987 (*fCovarPolZ)(irow, icol) = 0.;
3991 //_____________________________________________________________________________
3992 void AliTRDtrackerV1::AliTRDtrackFitterRieman::SetTracklet(Int_t itr, AliTRDseedV1 *tracklet){
3994 // Add tracklet into the fitter
3996 if(itr >= AliTRDgeometry::kNlayer) return;
3997 fTracklets[itr] = tracklet;
4000 //_____________________________________________________________________________
4001 Double_t AliTRDtrackerV1::AliTRDtrackFitterRieman::Eval(){
4004 // 1. Apply linear transformation and store points in the fitter
4005 // 2. Evaluate the fit
4006 // 3. Check if the result of the fit in z-direction is reasonable
4008 // 3a. Fix the parameters 3 and 4 with the results of a simple least
4010 // 3b. Redo the fit with the fixed parameters
4011 // 4. Store fit results (parameters and errors)
4016 fXref = CalculateReferenceX();
4017 for(Int_t il = 0; il < AliTRDgeometry::kNlayer; il++) UpdateFitters(fTracklets[il]);
4018 if(!fTrackFitter->GetNpoints()) return 1e10;
4020 fTrackFitter->Eval();
4022 fParameters[3] = fTrackFitter->GetParameter(3);
4023 fParameters[4] = fTrackFitter->GetParameter(4);
4024 if(!CheckAcceptable(fParameters[3], fParameters[4])) {
4025 fTrackFitter->FixParameter(3, fZfitter->GetFunctionValue(&fXref));
4026 fTrackFitter->FixParameter(4, fZfitter->GetFunctionParameter(1));
4027 fTrackFitter->Eval();
4028 fTrackFitter->ReleaseParameter(3);
4029 fTrackFitter->ReleaseParameter(4);
4030 fParameters[3] = fTrackFitter->GetParameter(3);
4031 fParameters[4] = fTrackFitter->GetParameter(4);
4033 // Update the Fit Parameters and the errors
4034 fParameters[0] = fTrackFitter->GetParameter(0);
4035 fParameters[1] = fTrackFitter->GetParameter(1);
4036 fParameters[2] = fTrackFitter->GetParameter(2);
4038 // Prepare Covariance estimation
4039 (*fCovarPolY)(0,0) = fSumPolY[0]; (*fCovarPolY)(1,1) = fSumPolY[2]; (*fCovarPolY)(2,2) = fSumPolY[4];
4040 (*fCovarPolY)(1,0) = (*fCovarPolY)(0,1) = fSumPolY[1];
4041 (*fCovarPolY)(2,0) = (*fCovarPolY)(0,2) = fSumPolY[2];
4042 (*fCovarPolY)(2,1) = (*fCovarPolY)(1,2) = fSumPolY[3];
4043 fCovarPolY->Invert();
4044 (*fCovarPolZ)(0,0) = fSumPolZ[0]; (*fCovarPolZ)(1,1) = fSumPolZ[2];
4045 (*fCovarPolZ)(1,0) = (*fCovarPolZ)(0,1) = fSumPolZ[1];
4046 fCovarPolZ->Invert();
4047 return fTrackFitter->GetChisquare() / fTrackFitter->GetNpoints();
4050 //_____________________________________________________________________________
4051 void AliTRDtrackerV1::AliTRDtrackFitterRieman::UpdateFitters(AliTRDseedV1 * const tracklet){
4053 // Does the transformations and updates the fitters
4054 // The following transformation is applied
4056 AliTRDcluster *cl = NULL;
4057 Double_t x, y, z, dx, t, w, we, yerr, zerr;
4059 if(!tracklet || !tracklet->IsOK()) return;
4060 Double_t tilt = tracklet->GetTilt();
4061 for(Int_t itb = 0; itb < AliTRDseedV1::kNclusters; itb++){
4062 if(!(cl = tracklet->GetClusters(itb))) continue;
4063 if(!cl->IsInChamber()) continue;
4064 if (!tracklet->IsUsable(itb)) continue;
4071 uvt[0] = 2. * x * t;
4073 uvt[2] = 2. * tilt * t;
4074 uvt[3] = 2. * tilt * dx * t;
4075 w = 2. * (y + tilt*z) * t;
4076 // error definition changes for the different calls
4078 we *= TMath::Sqrt(cl->GetSigmaY2()+tilt*tilt*cl->GetSigmaZ2());
4079 // Update sums for error calculation
4080 yerr = 1./(TMath::Sqrt(cl->GetSigmaY2()) + fSysClusterError);
4082 zerr = 1./cl->GetSigmaZ2();
4083 for(Int_t ipol = 0; ipol < 5; ipol++){
4084 fSumPolY[ipol] += yerr;
4087 fSumPolZ[ipol] += zerr;
4091 fTrackFitter->AddPoint(uvt, w, we);
4092 fZfitter->AddPoint(&x, z, static_cast<Double_t>(TMath::Sqrt(cl->GetSigmaZ2())));
4096 //_____________________________________________________________________________
4097 Bool_t AliTRDtrackerV1::AliTRDtrackFitterRieman::CheckAcceptable(Double_t offset, Double_t slope){
4099 // Check whether z-results are acceptable
4100 // Definition: Distance between tracklet fit and track fit has to be
4101 // less then half a padlength
4102 // Point of comparision is at the anode wire
4104 Bool_t acceptablez = kTRUE;
4105 Double_t zref = 0.0;
4106 for (Int_t iLayer = 0; iLayer < kNPlanes; iLayer++) {
4107 if(!fTracklets[iLayer]->IsOK()) continue;
4108 zref = offset + slope * (fTracklets[iLayer]->GetX0() - fXref);
4109 if (TMath::Abs(fTracklets[iLayer]->GetZfit(0) - zref) > fTracklets[iLayer]->GetPadLength() * 0.5 + 1.0)
4110 acceptablez = kFALSE;
4115 //_____________________________________________________________________________
4116 Double_t AliTRDtrackerV1::AliTRDtrackFitterRieman::GetYat(Double_t x) const {
4118 // Calculate y position out of the track parameters
4119 // y: R^2 = (x - x0)^2 + (y - y0)^2
4120 // => y = y0 +/- Sqrt(R^2 - (x - x0)^2)
4121 // R = Sqrt() = 1/Curvature
4122 // => y = y0 +/- Sqrt(1/Curvature^2 - (x - x0)^2)
4125 Double_t disc = (x * fParameters[0] + fParameters[1]);
4126 disc = 1 - fParameters[0]*fParameters[2] + fParameters[1]*fParameters[1] - disc*disc;
4128 disc = TMath::Sqrt(disc);
4129 y = (1.0 - disc) / fParameters[0];
4134 //_____________________________________________________________________________
4135 Double_t AliTRDtrackerV1::AliTRDtrackFitterRieman::GetZat(Double_t x) const {
4137 // Return z position for a given x position
4138 // Simple linear function
4140 return fParameters[3] + fParameters[4] * (x - fXref);
4143 //_____________________________________________________________________________
4144 Double_t AliTRDtrackerV1::AliTRDtrackFitterRieman::GetDyDxAt(Double_t x) const {
4146 // Calculate dydx at a given radial position out of the track parameters
4147 // dy: R^2 = (x - x0)^2 + (y - y0)^2
4148 // => y = +/- Sqrt(R^2 - (x - x0)^2) + y0
4149 // => dy/dx = (x - x0)/Sqrt(R^2 - (x - x0)^2)
4150 // Curvature: cr = 1/R = a/Sqrt(1 + b^2 - c*a)
4151 // => dy/dx = (x - x0)/(1/(cr^2) - (x - x0)^2)
4153 Double_t x0 = -fParameters[1] / fParameters[0];
4154 Double_t curvature = GetCurvature();
4156 if (-fParameters[2] * fParameters[0] + fParameters[1] * fParameters[1] + 1 > 0) {
4157 if (1.0/(curvature * curvature) - (x - x0) * (x - x0) > 0.0) {
4158 Double_t yderiv = (x - x0) / TMath::Sqrt(1.0/(curvature * curvature) - (x - x0) * (x - x0));
4159 if (fParameters[0] < 0) yderiv *= -1.0;
4166 //_____________________________________________________________________________
4167 Double_t AliTRDtrackerV1::AliTRDtrackFitterRieman::GetCurvature() const {
4169 // Calculate track curvature
4172 Double_t curvature = 1.0 + fParameters[1]*fParameters[1] - fParameters[2]*fParameters[0];
4173 if (curvature > 0.0)
4174 curvature = fParameters[0] / TMath::Sqrt(curvature);
4178 //_____________________________________________________________________________
4179 void AliTRDtrackerV1::AliTRDtrackFitterRieman::GetCovAt(Double_t x, Double_t *cov) const {
4181 // Error Definition according to gauss error propagation
4183 TMatrixD transform(3,3);
4184 transform(0,0) = transform(1,1) = transform(2,2) = 1;
4185 transform(0,1) = transform(1,2) = x;
4186 transform(0,2) = x*x;
4187 TMatrixD covariance(transform, TMatrixD::kMult, *fCovarPolY);
4188 covariance *= transform.T();
4189 cov[0] = covariance(0,0);
4190 TMatrixD transformZ(2,2);
4191 transformZ(0,0) = transformZ(1,1) = 1;
4192 transformZ(0,1) = x;
4193 TMatrixD covarZ(transformZ, TMatrixD::kMult, *fCovarPolZ);
4194 covarZ *= transformZ.T();
4195 cov[1] = covarZ(0,0);
4199 //____________________________________________________________________
4200 Double_t AliTRDtrackerV1::AliTRDtrackFitterRieman::CalculateReferenceX(){
4202 // Calculates the reference x-position for the tilted Rieman fit defined as middle
4203 // of the stack (middle between layers 2 and 3). For the calculation all the tracklets
4204 // are taken into account
4206 // Parameters: - Array of tracklets(AliTRDseedV1)
4208 // Output: - The reference x-position(Float_t)
4210 Int_t nDistances = 0;
4211 Float_t meanDistance = 0.;
4212 Int_t startIndex = 5;
4213 for(Int_t il =5; il > 0; il--){
4214 if(fTracklets[il]->IsOK() && fTracklets[il -1]->IsOK()){
4215 Float_t xdiff = fTracklets[il]->GetX0() - fTracklets[il -1]->GetX0();
4216 meanDistance += xdiff;
4219 if(fTracklets[il]->IsOK()) startIndex = il;
4221 if(fTracklets[0]->IsOK()) startIndex = 0;
4223 // We should normally never get here
4224 Float_t xpos[2]; memset(xpos, 0, sizeof(Float_t) * 2);
4225 Int_t iok = 0, idiff = 0;
4226 // This attempt is worse and should be avoided:
4227 // check for two chambers which are OK and repeat this without taking the mean value
4228 // Strategy avoids a division by 0;
4229 for(Int_t il = 5; il >= 0; il--){
4230 if(fTracklets[il]->IsOK()){
4231 xpos[iok] = fTracklets[il]->GetX0();
4235 if(iok) idiff++; // to get the right difference;
4239 meanDistance = (xpos[0] - xpos[1])/idiff;
4242 // we have do not even have 2 layers which are OK? The we do not need to fit at all
4247 meanDistance /= nDistances;
4249 return fTracklets[startIndex]->GetX0() + (2.5 - startIndex) * meanDistance - 0.5 * (AliTRDgeometry::AmThick() + AliTRDgeometry::DrThick());