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 "AliTRDseedV1.h"
53 #include "AliTRDtrackV1.h"
54 #include "AliTRDtrackerV1.h"
55 #include "AliTRDtrackerDebug.h"
56 #include "AliTRDtrackingChamber.h"
57 #include "AliTRDchamberTimeBin.h"
59 ClassImp(AliTRDtrackerV1)
61 const Float_t AliTRDtrackerV1::fgkMinClustersInTrack = 0.5; //
62 const Float_t AliTRDtrackerV1::fgkLabelFraction = 0.8; //
63 const Double_t AliTRDtrackerV1::fgkMaxChi2 = 12.0; //
64 const Double_t AliTRDtrackerV1::fgkMaxSnp = 0.95; // Maximum local sine of the azimuthal angle
65 const Double_t AliTRDtrackerV1::fgkMaxStep = 2.0; // Maximal step size in propagation
66 Double_t AliTRDtrackerV1::fgTopologicQA[kNConfigs] = {
67 0.5112, 0.5112, 0.5112, 0.0786, 0.0786,
68 0.0786, 0.0786, 0.0579, 0.0579, 0.0474,
69 0.0474, 0.0408, 0.0335, 0.0335, 0.0335
71 const Double_t AliTRDtrackerV1::fgkX0[kNPlanes] = {
72 300.2, 312.8, 325.4, 338.0, 350.6, 363.2};
73 Int_t AliTRDtrackerV1::fgNTimeBins = 0;
74 AliRieman* AliTRDtrackerV1::fgRieman = NULL;
75 TLinearFitter* AliTRDtrackerV1::fgTiltedRieman = NULL;
76 TLinearFitter* AliTRDtrackerV1::fgTiltedRiemanConstrained = NULL;
78 //____________________________________________________________________
79 AliTRDtrackerV1::AliTRDtrackerV1(AliTRDReconstructor *rec)
81 ,fkReconstructor(NULL)
89 // Default constructor.
92 SetReconstructor(rec); // initialize reconstructor
94 // initialize geometry
95 if(!AliGeomManager::GetGeometry()){
96 AliFatal("Could not get geometry.");
98 fGeom = new AliTRDgeometry();
99 fGeom->CreateClusterMatrixArray();
100 TGeoHMatrix *matrix = NULL;
101 Double_t loc[] = {0., 0., 0.};
102 Double_t glb[] = {0., 0., 0.};
103 for(Int_t ily=kNPlanes; ily--;){
105 while(!(matrix = fGeom->GetClusterMatrix(AliTRDgeometry::GetDetector(ily, 2, ism)))) ism++;
107 AliError(Form("Could not get transformation matrix for layer %d. Use default.", ily));
108 fR[ily] = fgkX0[ily];
111 matrix->LocalToMaster(loc, glb);
112 fR[ily] = glb[0]+ AliTRDgeometry::AnodePos()-.5*AliTRDgeometry::AmThick() - AliTRDgeometry::DrThick();
115 // initialize calibration values
116 AliTRDcalibDB *trd = NULL;
117 if (!(trd = AliTRDcalibDB::Instance())) {
118 AliFatal("Could not get calibration.");
120 if(!fgNTimeBins) fgNTimeBins = trd->GetNumberOfTimeBins();
122 // initialize cluster containers
123 for (Int_t isector = 0; isector < AliTRDgeometry::kNsector; isector++) new(&fTrSec[isector]) AliTRDtrackingSector(fGeom, isector);
126 memset(fTrackQuality, 0, kMaxTracksStack*sizeof(Double_t));
127 memset(fSeedLayer, 0, kMaxTracksStack*sizeof(Int_t));
128 memset(fSeedTB, 0, kNSeedPlanes*sizeof(AliTRDchamberTimeBin*));
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(fTracks) {fTracks->Delete(); delete fTracks;}
143 if(fTracklets) {fTracklets->Delete(); delete fTracklets;}
145 fClusters->Delete(); delete fClusters;
147 if(fGeom) delete fGeom;
150 //____________________________________________________________________
151 Int_t AliTRDtrackerV1::Clusters2Tracks(AliESDEvent *esd)
154 // Steering stand alone tracking for full TRD detector
157 // esd : The ESD event. On output it contains
158 // the ESD tracks found in TRD.
161 // Number of tracks found in the TRD detector.
163 // Detailed description
164 // 1. Launch individual SM trackers.
165 // See AliTRDtrackerV1::Clusters2TracksSM() for details.
168 if(!fkReconstructor->GetRecoParam() ){
169 AliError("Reconstruction configuration not initialized. Call first AliTRDReconstructor::SetRecoParam().");
173 //AliInfo("Start Track Finder ...");
175 for(int ism=0; ism<AliTRDgeometry::kNsector; ism++){
176 // for(int ism=1; ism<2; ism++){
177 //AliInfo(Form("Processing supermodule %i ...", ism));
178 ntracks += Clusters2TracksSM(ism, esd);
180 AliInfo(Form("Number of tracks: !TRDin[%d]", ntracks));
185 //_____________________________________________________________________________
186 Bool_t AliTRDtrackerV1::GetTrackPoint(Int_t index, AliTrackPoint &p) const
188 //AliInfo(Form("Asking for tracklet %d", index));
190 // reset position of the point before using it
191 p.SetXYZ(0., 0., 0.);
192 AliTRDseedV1 *tracklet = GetTracklet(index);
193 if (!tracklet) return kFALSE;
195 // get detector for this tracklet
196 Int_t det = tracklet->GetDetector();
197 Int_t sec = fGeom->GetSector(det);
198 Double_t alpha = (sec+.5)*AliTRDgeometry::GetAlpha(),
199 sinA = TMath::Sin(alpha),
200 cosA = TMath::Cos(alpha);
202 local[0] = tracklet->GetX();
203 local[1] = tracklet->GetY();
204 local[2] = tracklet->GetZ();
206 fGeom->RotateBack(det, local, global);
208 Double_t cov2D[3]; Float_t cov[6];
209 tracklet->GetCovAt(local[0], cov2D);
210 cov[0] = cov2D[0]*sinA*sinA;
211 cov[1] =-cov2D[0]*sinA*cosA;
212 cov[2] =-cov2D[1]*sinA;
213 cov[3] = cov2D[0]*cosA*cosA;
214 cov[4] = cov2D[1]*cosA;
216 // store the global position of the tracklet and its covariance matrix in the track point
217 p.SetXYZ(global[0],global[1],global[2], cov);
220 AliGeomManager::ELayerID iLayer = AliGeomManager::ELayerID(AliGeomManager::kTRD1+fGeom->GetLayer(det));
221 Int_t modId = fGeom->GetSector(det) * AliTRDgeometry::kNstack + fGeom->GetStack(det);
222 UShort_t volid = AliGeomManager::LayerToVolUID(iLayer, modId);
223 p.SetVolumeID(volid);
228 //____________________________________________________________________
229 TLinearFitter* AliTRDtrackerV1::GetTiltedRiemanFitter()
231 if(!fgTiltedRieman) fgTiltedRieman = new TLinearFitter(4, "hyp4");
232 return fgTiltedRieman;
235 //____________________________________________________________________
236 TLinearFitter* AliTRDtrackerV1::GetTiltedRiemanFitterConstraint()
238 if(!fgTiltedRiemanConstrained) fgTiltedRiemanConstrained = new TLinearFitter(2, "hyp2");
239 return fgTiltedRiemanConstrained;
242 //____________________________________________________________________
243 AliRieman* AliTRDtrackerV1::GetRiemanFitter()
245 if(!fgRieman) fgRieman = new AliRieman(AliTRDseedV1::kNtb * AliTRDgeometry::kNlayer);
249 //_____________________________________________________________________________
250 Int_t AliTRDtrackerV1::PropagateBack(AliESDEvent *event)
252 // Propagation of ESD tracks from TPC to TOF detectors and building of the TRD track. For building
253 // a TRD track an ESD track is used as seed. The informations obtained on the TRD track (measured points,
254 // covariance, PID, etc.) are than used to update the corresponding ESD track.
255 // Each track seed is first propagated to the geometrical limit of the TRD detector.
256 // Its prolongation is searched in the TRD and if corresponding clusters are found tracklets are
257 // constructed out of them (see AliTRDseedV1::AttachClusters()) and the track is updated.
258 // Otherwise the ESD track is left unchanged.
260 // The following steps are performed:
261 // 1. Selection of tracks based on the variance in the y-z plane.
262 // 2. Propagation to the geometrical limit of the TRD volume. If track propagation fails the AliESDtrack::kTRDStop is set.
263 // 3. Prolongation inside the fiducial volume (see AliTRDtrackerV1::FollowBackProlongation()) and marking
264 // the following status bits:
265 // - AliESDtrack::kTRDin - if the tracks enters the TRD fiducial volume
266 // - AliESDtrack::kTRDStop - if the tracks fails propagation
267 // - AliESDtrack::kTRDbackup - if the tracks fulfills chi2 conditions and qualify for refitting
268 // 4. Writting to friends, PID, MC label, quality etc. Setting status bit AliESDtrack::kTRDout.
269 // 5. Propagation to TOF. If track propagation fails the AliESDtrack::kTRDStop is set.
272 AliTRDCalibraFillHisto *calibra = AliTRDCalibraFillHisto::Instance(); // Calibration monitor
273 if (!calibra) AliInfo("Could not get Calibra instance\n");
276 Int_t nFound = 0, // number of tracks found
277 nSeeds = 0, // total number of ESD seeds
278 nTRDseeds= 0, // number of seeds in the TRD acceptance
279 nTPCseeds= 0; // number of TPC seeds
280 Float_t foundMin = 20.0;
282 Float_t *quality = NULL;
284 nSeeds = event->GetNumberOfTracks();
285 // Sort tracks according to quality
286 // (covariance in the yz plane)
288 quality = new Float_t[nSeeds];
289 index = new Int_t[nSeeds];
290 for (Int_t iSeed = nSeeds; iSeed--;) {
291 AliESDtrack *seed = event->GetTrack(iSeed);
292 Double_t covariance[15];
293 seed->GetExternalCovariance(covariance);
294 quality[iSeed] = covariance[0] + covariance[2];
296 TMath::Sort(nSeeds, quality, index,kFALSE);
299 // Propagate all seeds
302 for (Int_t iSeed = 0; iSeed < nSeeds; iSeed++) {
304 // Get the seeds in sorted sequence
305 AliESDtrack *seed = event->GetTrack(index[iSeed]);
306 Float_t p4 = seed->GetC(seed->GetBz());
308 // Check the seed status
309 ULong_t status = seed->GetStatus();
310 if ((status & AliESDtrack::kTPCout) == 0) continue;
311 if ((status & AliESDtrack::kTRDout) != 0) continue;
313 // Propagate to the entrance in the TRD mother volume
314 new(&track) AliTRDtrackV1(*seed);
315 if(AliTRDgeometry::GetXtrdBeg() > (fgkMaxStep + track.GetX()) && !PropagateToX(track, AliTRDgeometry::GetXtrdBeg(), fgkMaxStep)){
316 seed->UpdateTrackParams(&track, AliESDtrack::kTRDStop);
319 if(!AdjustSector(&track)){
320 seed->UpdateTrackParams(&track, AliESDtrack::kTRDStop);
323 if(TMath::Abs(track.GetSnp()) > fgkMaxSnp) {
324 seed->UpdateTrackParams(&track, AliESDtrack::kTRDStop);
330 // store track status at TRD entrance
331 seed->UpdateTrackParams(&track, AliESDtrack::kTRDbackup);
333 // prepare track and do propagation in the TRD
334 track.SetReconstructor(fkReconstructor);
335 track.SetKink(Bool_t(seed->GetKinkIndex(0)));
336 expectedClr = FollowBackProlongation(track);
337 // check if track entered the TRD fiducial volume
338 if(track.GetTrackLow()){
339 seed->UpdateTrackParams(&track, AliESDtrack::kTRDin);
342 // check if track was stopped in the TRD
344 seed->UpdateTrackParams(&track, AliESDtrack::kTRDStop);
350 // computes PID for track
352 // update calibration references using this track
353 if(calibra->GetHisto2d()) calibra->UpdateHistogramsV1(&track);
354 // save calibration object
355 if (fkReconstructor->GetRecoParam()->GetStreamLevel(AliTRDrecoParam::kTracker) > 0){
356 AliTRDtrackV1 *calibTrack = new AliTRDtrackV1(track);
357 calibTrack->SetOwner();
358 seed->AddCalibObject(calibTrack);
361 if ((track.GetNumberOfClusters() > 15) && (track.GetNumberOfClusters() > 0.5*expectedClr)) {
362 seed->UpdateTrackParams(&track, AliESDtrack::kTRDout);
363 track.UpdateESDtrack(seed);
367 if ((TMath::Abs(track.GetC(track.GetBz()) - p4) / TMath::Abs(p4) < 0.2) ||(track.Pt() > 0.8)) {
369 // Make backup for back propagation
370 Int_t foundClr = track.GetNumberOfClusters();
371 if (foundClr >= foundMin) {
372 track.CookLabel(1. - fgkLabelFraction);
373 //if(track.GetBackupTrack()) UseClusters(track.GetBackupTrack());
375 // Sign only gold tracks
376 if (track.GetChi2() / track.GetNumberOfClusters() < 4) {
377 //if ((seed->GetKinkIndex(0) == 0) && (track.Pt() < 1.5)) UseClusters(&track);
379 Bool_t isGold = kFALSE;
382 if (track.GetChi2() / track.GetNumberOfClusters() < 5) {
383 if (track.GetBackupTrack()) seed->UpdateTrackParams(track.GetBackupTrack(),AliESDtrack::kTRDbackup);
389 if ((!isGold) && (track.GetNCross() == 0) && (track.GetChi2() / track.GetNumberOfClusters() < 7)) {
390 //seed->UpdateTrackParams(track, AliESDtrack::kTRDbackup);
391 if (track.GetBackupTrack()) seed->UpdateTrackParams(track.GetBackupTrack(),AliESDtrack::kTRDbackup);
396 if ((!isGold) && (track.GetBackupTrack())) {
397 if ((track.GetBackupTrack()->GetNumberOfClusters() > foundMin) && ((track.GetBackupTrack()->GetChi2()/(track.GetBackupTrack()->GetNumberOfClusters()+1)) < 7)) {
398 seed->UpdateTrackParams(track.GetBackupTrack(),AliESDtrack::kTRDbackup);
405 // Propagation to the TOF
406 if(!(seed->GetStatus()&AliESDtrack::kTRDStop)) {
407 Int_t sm = track.GetSector();
408 // default value in case we have problems with the geometry.
409 Double_t xtof = 371.;
410 //Calculate radial position of the beginning of the TOF
411 //mother volume. In order to avoid mixing of the TRD
412 //and TOF modules some hard values are needed. This are:
413 //1. The path to the TOF module.
414 //2. The width of the TOF (29.05 cm)
415 //(with the help of Annalisa de Caro Mar-17-2009)
417 gGeoManager->cd(Form("/ALIC_1/B077_1/BSEGMO%d_1/BTOF%d_1", sm, sm));
418 TGeoHMatrix *m = NULL;
419 Double_t loc[]={0., 0., -.5*29.05}, glob[3];
421 if((m=gGeoManager->GetCurrentMatrix())){
422 m->LocalToMaster(loc, glob);
423 xtof = TMath::Sqrt(glob[0]*glob[0]+glob[1]*glob[1]);
426 if(xtof > (fgkMaxStep + track.GetX()) && !PropagateToX(track, xtof, fgkMaxStep)){
427 seed->UpdateTrackParams(&track, AliESDtrack::kTRDStop);
430 if(!AdjustSector(&track)){
431 seed->UpdateTrackParams(&track, AliESDtrack::kTRDStop);
434 if(TMath::Abs(track.GetSnp()) > fgkMaxSnp){
435 seed->UpdateTrackParams(&track, AliESDtrack::kTRDStop);
438 seed->UpdateTrackParams(&track, AliESDtrack::kTRDout);
439 // TODO obsolete - delete
440 seed->SetTRDQuality(track.StatusForTOF());
442 seed->SetTRDBudget(track.GetBudget(0));
444 if(index) delete [] index;
445 if(quality) delete [] quality;
447 AliInfo(Form("Number of seeds: TPCout[%d] TRDin[%d]", nTPCseeds, nTRDseeds));
448 AliInfo(Form("Number of tracks: TRDout[%d]", nFound));
450 // run stand alone tracking
451 if (fkReconstructor->IsSeeding()) Clusters2Tracks(event);
457 //____________________________________________________________________
458 Int_t AliTRDtrackerV1::RefitInward(AliESDEvent *event)
461 // Refits tracks within the TRD. The ESD event is expected to contain seeds
462 // at the outer part of the TRD.
463 // The tracks are propagated to the innermost time bin
464 // of the TRD and the ESD event is updated
465 // Origin: Thomas KUHR (Thomas.Kuhr@cern.ch)
468 Int_t nseed = 0; // contor for loaded seeds
469 Int_t found = 0; // contor for updated TRD tracks
473 for (Int_t itrack = 0; itrack < event->GetNumberOfTracks(); itrack++) {
474 AliESDtrack *seed = event->GetTrack(itrack);
475 new(&track) AliTRDtrackV1(*seed);
477 if (track.GetX() < 270.0) {
478 seed->UpdateTrackParams(&track, AliESDtrack::kTRDbackup);
482 // reject tracks which failed propagation in the TRD or
483 // are produced by the TRD stand alone tracker
484 ULong_t status = seed->GetStatus();
485 if(!(status & AliESDtrack::kTRDout)) continue;
486 if(!(status & AliESDtrack::kTRDin)) continue;
489 track.ResetCovariance(50.0);
491 // do the propagation and processing
492 Bool_t kUPDATE = kFALSE;
493 Double_t xTPC = 250.0;
494 if(FollowProlongation(track)){
496 if (PropagateToX(track, xTPC, fgkMaxStep)) { // -with update
497 seed->UpdateTrackParams(&track, AliESDtrack::kTRDrefit);
502 // Update the friend track
503 if (fkReconstructor->GetRecoParam()->GetStreamLevel(AliTRDrecoParam::kTracker) > 0){
504 TObject *o = NULL; Int_t ic = 0;
505 AliTRDtrackV1 *calibTrack = NULL;
506 while((o = seed->GetCalibObject(ic++))){
507 if(!(calibTrack = dynamic_cast<AliTRDtrackV1*>(o))) continue;
508 calibTrack->SetTrackHigh(track.GetTrackHigh());
513 // Prolongate to TPC without update
515 AliTRDtrackV1 tt(*seed);
516 if (PropagateToX(tt, xTPC, fgkMaxStep)) seed->UpdateTrackParams(&tt, AliESDtrack::kTRDbackup);
519 AliInfo(Form("Number of seeds: TRDout[%d]", nseed));
520 AliInfo(Form("Number of tracks: TRDrefit[%d]", found));
525 //____________________________________________________________________
526 Int_t AliTRDtrackerV1::FollowProlongation(AliTRDtrackV1 &t)
528 // Extrapolates the TRD track in the TPC direction.
531 // t : the TRD track which has to be extrapolated
534 // number of clusters attached to the track
536 // Detailed description
538 // Starting from current radial position of track <t> this function
539 // extrapolates the track through the 6 TRD layers. The following steps
540 // are being performed for each plane:
542 // a. get plane limits in the local x direction
543 // b. check crossing sectors
544 // c. check track inclination
545 // 2. search tracklet in the tracker list (see GetTracklet() for details)
546 // 3. evaluate material budget using the geo manager
547 // 4. propagate and update track using the tracklet information.
552 Bool_t kStoreIn = kTRUE;
553 Int_t nClustersExpected = 0;
554 for (Int_t iplane = kNPlanes; iplane--;) {
556 AliTRDseedV1 *tracklet = GetTracklet(&t, iplane, index);
557 if(!tracklet) continue;
558 if(!tracklet->IsOK()){
559 AliDebug(1, Form("Tracklet Det[%d] !OK", tracklet->GetDetector()));
562 Double_t x = tracklet->GetX();//GetX0();
563 // reject tracklets which are not considered for inward refit
564 if(x > t.GetX()+fgkMaxStep) continue;
566 // append tracklet to track
567 t.SetTracklet(tracklet, index);
569 if (x < (t.GetX()-fgkMaxStep) && !PropagateToX(t, x+fgkMaxStep, fgkMaxStep)) break;
570 if (!AdjustSector(&t)) break;
572 // Start global position
576 // End global position
577 Double_t alpha = t.GetAlpha(), y, z;
578 if (!t.GetProlongation(x,y,z)) break;
580 xyz1[0] = x * TMath::Cos(alpha) - y * TMath::Sin(alpha);
581 xyz1[1] = x * TMath::Sin(alpha) + y * TMath::Cos(alpha);
584 Double_t length = TMath::Sqrt(
585 (xyz0[0]-xyz1[0])*(xyz0[0]-xyz1[0]) +
586 (xyz0[1]-xyz1[1])*(xyz0[1]-xyz1[1]) +
587 (xyz0[2]-xyz1[2])*(xyz0[2]-xyz1[2])
590 // Get material budget
592 if(AliTracker::MeanMaterialBudget(xyz0, xyz1, param)<=0.) break;
593 Double_t xrho= param[0]*param[4];
594 Double_t xx0 = param[1]; // Get mean propagation parameters
596 // Propagate and update
597 t.PropagateTo(x, xx0, xrho);
598 if (!AdjustSector(&t)) break;
605 Double_t cov[3]; tracklet->GetCovAt(x, cov);
606 Double_t p[2] = { tracklet->GetY(), tracklet->GetZ()};
607 Double_t chi2 = ((AliExternalTrackParam)t).GetPredictedChi2(p, cov);
608 if (chi2 < 1e+10 && t.Update(p, cov, chi2)){
609 nClustersExpected += tracklet->GetN();
613 if(fkReconstructor->GetRecoParam()->GetStreamLevel(AliTRDrecoParam::kTracker) > 1){
615 for(int iplane=0; iplane<AliTRDgeometry::kNlayer; iplane++){
616 AliTRDseedV1 *tracklet = GetTracklet(&t, iplane, index);
617 if(!tracklet) continue;
618 t.SetTracklet(tracklet, index);
621 if(fkReconstructor->IsDebugStreaming()){
622 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
623 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
624 AliTRDtrackV1 track(t);
626 cstreamer << "FollowProlongation"
627 << "EventNumber=" << eventNumber
628 << "ncl=" << nClustersExpected
629 << "track.=" << &track
633 return nClustersExpected;
637 //_____________________________________________________________________________
638 Int_t AliTRDtrackerV1::FollowBackProlongation(AliTRDtrackV1 &t)
640 // Extrapolates/Build the TRD track in the TOF direction.
643 // t : the TRD track which has to be extrapolated
646 // number of clusters attached to the track
648 // Starting from current radial position of track <t> this function
649 // extrapolates the track through the 6 TRD layers. The following steps
650 // are being performed for each plane:
651 // 1. Propagate track to the entrance of the next chamber:
652 // - get chamber limits in the radial direction
653 // - check crossing sectors
654 // - check track inclination
655 // - check track prolongation against boundary conditions (see exclusion boundaries on AliTRDgeometry::IsOnBoundary())
656 // 2. Build tracklet (see AliTRDseed::AttachClusters() for details) for this layer if needed. If only
657 // Kalman filter is needed and tracklets are already linked to the track this step is skipped.
658 // 3. Fit tracklet using the information from the Kalman filter.
659 // 4. Propagate and update track at reference radial position of the tracklet.
660 // 5. Register tracklet with the tracker and track; update pulls monitoring.
663 // 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:
664 // - AliTRDtrackV1::kProlongation : track prolongation failed
665 // - AliTRDtrackV1::kPropagation : track prolongation failed
666 // - AliTRDtrackV1::kAdjustSector : failed during sector crossing
667 // - AliTRDtrackV1::kSnp : too large bending
668 // - AliTRDtrackV1::kTrackletInit : fail to initialize tracklet
669 // - AliTRDtrackV1::kUpdate : fail to attach clusters or fit the tracklet
670 // - AliTRDtrackV1::kUnknown : anything which is not covered before
671 // 2. By default the status of the track before first TRD update is saved.
676 // Alexandru Bercuci <A.Bercuci@gsi.de>
680 Double_t driftLength = .5*AliTRDgeometry::AmThick() + AliTRDgeometry::DrThick();
681 AliTRDtrackingChamber *chamber = NULL;
683 Int_t debugLevel = fkReconstructor->IsDebugStreaming() ? fkReconstructor->GetRecoParam()->GetStreamLevel(AliTRDrecoParam::kTracker) : 0;
684 TTreeSRedirector *cstreamer = fkReconstructor->IsDebugStreaming() ? fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker) : 0x0;
686 AliTRDseedV1 tracklet, *ptrTracklet = NULL;
687 // in case of stand alone tracking we store all the pointers to the tracklets in a temporary array
688 AliTRDseedV1 *tracklets[kNPlanes];
689 memset(tracklets, 0, sizeof(AliTRDseedV1 *) * kNPlanes);
690 for(Int_t ip = 0; ip < kNPlanes; ip++){
691 tracklets[ip] = t.GetTracklet(ip);
694 Bool_t kStoreIn = kTRUE, kPropagateIn = kTRUE;
696 // Loop through the TRD layers
697 TGeoHMatrix *matrix = NULL;
699 for (Int_t ily=0, sm=-1, stk=-1, det=-1; ily < AliTRDgeometry::kNlayer; ily++) {
700 // rough estimate of the entry point
701 if (!t.GetProlongation(fR[ily], y, z)){
703 t.SetStatus(AliTRDtrackV1::kProlongation);
707 // find sector / stack / detector
709 // TODO cross check with y value !
710 stk = fGeom->GetStack(z, ily);
711 det = stk>=0 ? AliTRDgeometry::GetDetector(ily, stk, sm) : -1;
712 matrix = det>=0 ? fGeom->GetClusterMatrix(det) : NULL;
714 // check if supermodule/chamber is installed
715 if( !fGeom->GetSMstatus(sm) ||
717 fGeom->IsHole(ily, stk, sm) ||
719 // propagate to the default radial position
720 if(fR[ily] > (fgkMaxStep + t.GetX()) && !PropagateToX(t, fR[ily], fgkMaxStep)){
722 t.SetStatus(AliTRDtrackV1::kPropagation);
725 if(!AdjustSector(&t)){
727 t.SetStatus(AliTRDtrackV1::kAdjustSector);
730 if(TMath::Abs(t.GetSnp()) > fgkMaxSnp){
732 t.SetStatus(AliTRDtrackV1::kSnp);
735 t.SetStatus(AliTRDtrackV1::kGeometry, ily);
739 // retrieve rotation matrix for the current chamber
740 Double_t loc[] = {AliTRDgeometry::AnodePos()- driftLength, 0., 0.};
741 Double_t glb[] = {0., 0., 0.};
742 matrix->LocalToMaster(loc, glb);
744 // Propagate to the radial distance of the current layer
745 x = glb[0] - fgkMaxStep;
746 if(x > (fgkMaxStep + t.GetX()) && !PropagateToX(t, x, fgkMaxStep)){
748 t.SetStatus(AliTRDtrackV1::kPropagation);
751 if(!AdjustSector(&t)){
753 t.SetStatus(AliTRDtrackV1::kAdjustSector);
756 if(TMath::Abs(t.GetSnp()) > fgkMaxSnp) {
758 t.SetStatus(AliTRDtrackV1::kSnp);
761 Bool_t doRecalculate = kFALSE;
762 if(sm != t.GetSector()){
764 doRecalculate = kTRUE;
766 if(stk != fGeom->GetStack(z, ily)){
767 stk = fGeom->GetStack(z, ily);
768 doRecalculate = kTRUE;
771 det = AliTRDgeometry::GetDetector(ily, stk, sm);
772 if(!(matrix = fGeom->GetClusterMatrix(det))){
773 t.SetStatus(AliTRDtrackV1::kGeometry, ily);
776 matrix->LocalToMaster(loc, glb);
777 x = glb[0] - fgkMaxStep;
780 // check if track is well inside fiducial volume
781 if (!t.GetProlongation(x+fgkMaxStep, y, z)) {
783 t.SetStatus(AliTRDtrackV1::kProlongation);
786 if(fGeom->IsOnBoundary(det, y, z, .5)){
787 t.SetStatus(AliTRDtrackV1::kBoundary, ily);
790 // mark track as entering the FIDUCIAL volume of TRD
796 ptrTracklet = tracklets[ily];
797 if(!ptrTracklet){ // BUILD TRACKLET
798 AliDebug(2, Form("Building tracklet ly[%d]", ily));
799 // check data in supermodule
800 if(!fTrSec[sm].GetNChambers()){
801 t.SetStatus(AliTRDtrackV1::kNoClusters, ily);
804 if(fTrSec[sm].GetX(ily) < 1.){
805 t.SetStatus(AliTRDtrackV1::kNoClusters, ily);
809 // check data in chamber
810 if(!(chamber = fTrSec[sm].GetChamber(stk, ily))){
811 t.SetStatus(AliTRDtrackV1::kNoClusters, ily);
814 if(chamber->GetNClusters() < fgNTimeBins*fkReconstructor->GetRecoParam() ->GetFindableClusters()){
815 t.SetStatus(AliTRDtrackV1::kNoClusters, ily);
819 ptrTracklet = new(&tracklet) AliTRDseedV1(det);
820 ptrTracklet->SetReconstructor(fkReconstructor);
821 ptrTracklet->SetKink(t.IsKink());
822 ptrTracklet->SetPadPlane(fGeom->GetPadPlane(ily, stk));
823 ptrTracklet->SetX0(glb[0]+driftLength);
824 if(!tracklet.Init(&t)){
826 t.SetStatus(AliTRDtrackV1::kTrackletInit);
829 if(!tracklet.AttachClusters(chamber, kTRUE)){
830 t.SetStatus(AliTRDtrackV1::kNoAttach, ily);
832 AliTRDseedV1 trackletCp(*ptrTracklet);
833 UChar_t status(t.GetStatusTRD(ily));
834 (*cstreamer) << "FollowBackProlongation2"
835 <<"status=" << status
836 <<"tracklet.=" << &trackletCp
841 if(tracklet.GetN() < fgNTimeBins*fkReconstructor->GetRecoParam() ->GetFindableClusters()){
842 t.SetStatus(AliTRDtrackV1::kNoClustersTracklet, ily);
844 AliTRDseedV1 trackletCp(*ptrTracklet);
845 UChar_t status(t.GetStatusTRD(ily));
846 (*cstreamer) << "FollowBackProlongation2"
847 <<"status=" << status
848 <<"tracklet.=" << &trackletCp
853 ptrTracklet->UpdateUsed();
854 } else AliDebug(2, Form("Use external tracklet ly[%d]", ily));
855 // propagate track to the radial position of the tracklet
856 ptrTracklet->UseClusters(); // TODO ? do we need this here ?
857 // fit tracklet no tilt correction
858 if(!ptrTracklet->Fit(kFALSE)){
859 t.SetStatus(AliTRDtrackV1::kNoFit, ily);
862 x = ptrTracklet->GetX(); //GetX0();
863 if(x > (fgkMaxStep + t.GetX()) && !PropagateToX(t, x, fgkMaxStep)) {
865 t.SetStatus(AliTRDtrackV1::kPropagation);
868 if(!AdjustSector(&t)) {
870 t.SetStatus(AliTRDtrackV1::kAdjustSector);
873 if(TMath::Abs(t.GetSnp()) > fgkMaxSnp) {
875 t.SetStatus(AliTRDtrackV1::kSnp);
880 kPropagateIn = kFALSE;
882 Double_t cov[3]; ptrTracklet->GetCovAt(x, cov);
883 Double_t p[2] = { ptrTracklet->GetY(), ptrTracklet->GetZ()};
884 Double_t chi2 = ((AliExternalTrackParam)t).GetPredictedChi2(p, cov);
885 // update Kalman with the TRD measurement
886 if(chi2>1e+10){ // TODO
887 t.SetStatus(AliTRDtrackV1::kChi2, ily);
889 UChar_t status(t.GetStatusTRD());
890 AliTRDseedV1 trackletCp(*ptrTracklet);
891 AliTRDtrackV1 trackCp(t);
893 (*cstreamer) << "FollowBackProlongation1"
894 << "status=" << status
895 << "tracklet.=" << &trackletCp
896 << "track.=" << &trackCp
901 if(!t.Update(p, cov, chi2)) {
903 t.SetStatus(AliTRDtrackV1::kUpdate);
905 UChar_t status(t.GetStatusTRD());
906 AliTRDseedV1 trackletCp(*ptrTracklet);
907 AliTRDtrackV1 trackCp(t);
909 (*cstreamer) << "FollowBackProlongation1"
910 << "status=" << status
911 << "tracklet.=" << &trackletCp
912 << "track.=" << &trackCp
918 AliTracker::FillResiduals(&t, p, cov, ptrTracklet->GetVolumeId());
921 // load tracklet to the tracker
922 ptrTracklet->Update(&t);
923 ptrTracklet = SetTracklet(ptrTracklet);
924 t.SetTracklet(ptrTracklet, fTracklets->GetEntriesFast()-1);
925 n += ptrTracklet->GetN();
927 // Reset material budget if 2 consecutive gold
928 // if(ilayer>0 && t.GetTracklet(ilayer-1) && ptrTracklet->GetN() + t.GetTracklet(ilayer-1)->GetN() > 20) t.SetBudget(2, 0.);
930 // Make backup of the track until is gold
931 // TO DO update quality check of the track.
932 // consider comparison with fTimeBinsRange
933 Float_t ratio0 = ptrTracklet->GetN() / Float_t(fgNTimeBins);
934 //Float_t ratio1 = Float_t(t.GetNumberOfClusters()+1) / Float_t(t.GetNExpected()+1);
939 //(ratio0+ratio1 > 1.5) &&
940 (t.GetNCross() == 0) &&
941 (TMath::Abs(t.GetSnp()) < 0.85) &&
942 (t.GetNumberOfClusters() > 20)){
946 //printf("clusters[%d] chi2[%f] x[%f] status[%d ", n, t.GetChi2(), t.GetX(), t.GetStatusTRD());
947 //for(int i=0; i<6; i++) printf("%d ", t.GetStatusTRD(i)); printf("]\n");
950 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
951 AliTRDtrackV1 track(t);
953 (*cstreamer) << "FollowBackProlongation0"
954 << "EventNumber=" << eventNumber
956 << "track.=" << &track
963 //_________________________________________________________________________
964 Float_t AliTRDtrackerV1::FitRieman(AliTRDseedV1 *tracklets, Double_t *chi2, Int_t *const planes){
966 // Fits a Riemann-circle to the given points without tilting pad correction.
967 // The fit is performed using an instance of the class AliRieman (equations
968 // and transformations see documentation of this class)
969 // Afterwards all the tracklets are Updated
971 // Parameters: - Array of tracklets (AliTRDseedV1)
972 // - Storage for the chi2 values (beginning with direction z)
973 // - Seeding configuration
974 // Output: - The curvature
976 AliRieman *fitter = AliTRDtrackerV1::GetRiemanFitter();
978 Int_t allplanes[] = {0, 1, 2, 3, 4, 5};
979 Int_t *ppl = &allplanes[0];
985 for(Int_t il = 0; il < maxLayers; il++){
986 if(!tracklets[ppl[il]].IsOK()) continue;
987 fitter->AddPoint(tracklets[ppl[il]].GetX0(), tracklets[ppl[il]].GetYfit(0), tracklets[ppl[il]].GetZfit(0),1,10);
990 // Set the reference position of the fit and calculate the chi2 values
991 memset(chi2, 0, sizeof(Double_t) * 2);
992 for(Int_t il = 0; il < maxLayers; il++){
993 // Reference positions
994 tracklets[ppl[il]].Init(fitter);
997 if((!tracklets[ppl[il]].IsOK()) && (!planes)) continue;
998 chi2[0] += tracklets[ppl[il]].GetChi2Y();
999 chi2[1] += tracklets[ppl[il]].GetChi2Z();
1001 return fitter->GetC();
1004 //_________________________________________________________________________
1005 void AliTRDtrackerV1::FitRieman(AliTRDcluster **seedcl, Double_t chi2[2])
1008 // Performs a Riemann helix fit using the seedclusters as spacepoints
1009 // Afterwards the chi2 values are calculated and the seeds are updated
1011 // Parameters: - The four seedclusters
1012 // - The tracklet array (AliTRDseedV1)
1013 // - The seeding configuration
1018 AliRieman *fitter = AliTRDtrackerV1::GetRiemanFitter();
1020 for(Int_t i = 0; i < 4; i++){
1021 fitter->AddPoint(seedcl[i]->GetX(), seedcl[i]->GetY(), seedcl[i]->GetZ(), 1., 10.);
1026 // Update the seed and calculated the chi2 value
1027 chi2[0] = 0; chi2[1] = 0;
1028 for(Int_t ipl = 0; ipl < kNSeedPlanes; ipl++){
1030 chi2[0] += (seedcl[ipl]->GetZ() - fitter->GetZat(seedcl[ipl]->GetX())) * (seedcl[ipl]->GetZ() - fitter->GetZat(seedcl[ipl]->GetX()));
1031 chi2[1] += (seedcl[ipl]->GetY() - fitter->GetYat(seedcl[ipl]->GetX())) * (seedcl[ipl]->GetY() - fitter->GetYat(seedcl[ipl]->GetX()));
1036 //_________________________________________________________________________
1037 Float_t AliTRDtrackerV1::FitTiltedRiemanConstraint(AliTRDseedV1 *tracklets, Double_t zVertex)
1040 // Fits a helix to the clusters. Pad tilting is considered. As constraint it is
1041 // assumed that the vertex position is set to 0.
1042 // This method is very usefull for high-pt particles
1043 // Basis for the fit: (x - x0)^2 + (y - y0)^2 - R^2 = 0
1044 // x0, y0: Center of the circle
1045 // Measured y-position: ymeas = y - tan(phiT)(zc - zt)
1046 // zc: center of the pad row
1047 // Equation which has to be fitted (after transformation):
1048 // a + b * u + e * v + 2*(ymeas + tan(phiT)(z - zVertex))*t = 0
1050 // t = 1/(x^2 + y^2)
1052 // v = 2 * x * tan(phiT) * t
1053 // Parameters in the equation:
1054 // a = -1/y0, b = x0/y0, e = dz/dx
1056 // The Curvature is calculated by the following equation:
1057 // - curv = a/Sqrt(b^2 + 1) = 1/R
1058 // Parameters: - the 6 tracklets
1059 // - the Vertex constraint
1060 // Output: - the Chi2 value of the track
1065 TLinearFitter *fitter = GetTiltedRiemanFitterConstraint();
1066 fitter->StoreData(kTRUE);
1067 fitter->ClearPoints();
1068 AliTRDcluster *cl = NULL;
1070 Float_t x, y, z, w, t, error, tilt;
1073 for(Int_t ilr = 0; ilr < AliTRDgeometry::kNlayer; ilr++){
1074 if(!tracklets[ilr].IsOK()) continue;
1075 for(Int_t itb = 0; itb < AliTRDseedV1::kNclusters; itb++){
1076 if(!tracklets[ilr].IsUsable(itb)) continue;
1077 cl = tracklets[ilr].GetClusters(itb);
1078 if(!cl->IsInChamber()) continue;
1082 tilt = tracklets[ilr].GetTilt();
1084 t = 1./(x * x + y * y);
1085 uvt[0] = 2. * x * t;
1086 uvt[1] = 2. * x * t * tilt ;
1087 w = 2. * (y + tilt * (z - zVertex)) * t;
1088 error = 2. * TMath::Sqrt(cl->GetSigmaY2()+tilt*tilt*cl->GetSigmaZ2()) * t;
1089 fitter->AddPoint(uvt, w, error);
1095 // Calculate curvature
1096 Double_t a = fitter->GetParameter(0);
1097 Double_t b = fitter->GetParameter(1);
1098 Double_t curvature = a/TMath::Sqrt(b*b + 1);
1100 Float_t chi2track = fitter->GetChisquare()/Double_t(nPoints);
1101 for(Int_t ip = 0; ip < AliTRDtrackerV1::kNPlanes; ip++)
1102 tracklets[ip].SetC(curvature);
1104 /* if(fkReconstructor->GetRecoParam()->GetStreamLevel(AliTRDrecoParam::kTracker()) >= 5){
1105 //Linear Model on z-direction
1106 Double_t xref = CalculateReferenceX(tracklets); // Relative to the middle of the stack
1107 Double_t slope = fitter->GetParameter(2);
1108 Double_t zref = slope * xref;
1109 Float_t chi2Z = CalculateChi2Z(tracklets, zref, slope, xref);
1110 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
1111 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
1112 TTreeSRedirector &treeStreamer = *fkReconstructor->GetDebugStream(AliTRDReconstructor::kTracker);
1113 treeStreamer << "FitTiltedRiemanConstraint"
1114 << "EventNumber=" << eventNumber
1115 << "CandidateNumber=" << candidateNumber
1116 << "Curvature=" << curvature
1117 << "Chi2Track=" << chi2track
1118 << "Chi2Z=" << chi2Z
1125 //_________________________________________________________________________
1126 Float_t AliTRDtrackerV1::FitTiltedRieman(AliTRDseedV1 *tracklets, Bool_t sigError)
1129 // Performs a Riemann fit taking tilting pad correction into account
1130 // The equation of a Riemann circle, where the y position is substituted by the
1131 // measured y-position taking pad tilting into account, has to be transformed
1132 // into a 4-dimensional hyperplane equation
1133 // Riemann circle: (x-x0)^2 + (y-y0)^2 -R^2 = 0
1134 // Measured y-Position: ymeas = y - tan(phiT)(zc - zt)
1135 // zc: center of the pad row
1136 // zt: z-position of the track
1137 // The z-position of the track is assumed to be linear dependent on the x-position
1138 // Transformed equation: a + b * u + c * t + d * v + e * w - 2 * (ymeas + tan(phiT) * zc) * t = 0
1139 // Transformation: u = 2 * x * t
1140 // v = 2 * tan(phiT) * t
1141 // w = 2 * tan(phiT) * (x - xref) * t
1142 // t = 1 / (x^2 + ymeas^2)
1143 // Parameters: a = -1/y0
1145 // c = (R^2 -x0^2 - y0^2)/y0
1148 // If the offset respectively the slope in z-position is impossible, the parameters are fixed using
1149 // results from the simple riemann fit. Afterwards the fit is redone.
1150 // The curvature is calculated according to the formula:
1151 // curv = a/(1 + b^2 + c*a) = 1/R
1153 // Paramters: - Array of tracklets (connected to the track candidate)
1154 // - Flag selecting the error definition
1155 // Output: - Chi2 values of the track (in Parameter list)
1157 TLinearFitter *fitter = GetTiltedRiemanFitter();
1158 fitter->StoreData(kTRUE);
1159 fitter->ClearPoints();
1160 AliTRDLeastSquare zfitter;
1161 AliTRDcluster *cl = NULL;
1163 Double_t xref = CalculateReferenceX(tracklets);
1164 Double_t x, y, z, t, tilt, dx, w, we, erry, errz;
1165 Double_t uvt[4], sumPolY[5], sumPolZ[3];
1166 memset(sumPolY, 0, sizeof(Double_t) * 5);
1167 memset(sumPolZ, 0, sizeof(Double_t) * 3);
1169 // Containers for Least-square fitter
1170 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
1171 if(!tracklets[ipl].IsOK()) continue;
1172 tilt = tracklets[ipl].GetTilt();
1173 for(Int_t itb = 0; itb < AliTRDseedV1::kNclusters; itb++){
1174 if(!(cl = tracklets[ipl].GetClusters(itb))) continue;
1175 if(!cl->IsInChamber()) continue;
1176 if (!tracklets[ipl].IsUsable(itb)) continue;
1183 uvt[0] = 2. * x * t;
1185 uvt[2] = 2. * tilt * t;
1186 uvt[3] = 2. * tilt * dx * t;
1187 w = 2. * (y + tilt*z) * t;
1188 // error definition changes for the different calls
1190 we *= sigError ? TMath::Sqrt(cl->GetSigmaY2()+tilt*tilt*cl->GetSigmaZ2()) : 0.2;
1191 fitter->AddPoint(uvt, w, we);
1192 zfitter.AddPoint(&x, z, static_cast<Double_t>(TMath::Sqrt(cl->GetSigmaZ2())));
1193 // adding points for covariance matrix estimation
1194 erry = 1./(TMath::Sqrt(cl->GetSigmaY2()) + 0.1); // 0.1 is a systematic error (due to misalignment and miscalibration)
1196 errz = 1./cl->GetSigmaZ2();
1197 for(Int_t ipol = 0; ipol < 5; ipol++){
1198 sumPolY[ipol] += erry;
1201 sumPolZ[ipol] += errz;
1211 Double_t offset = fitter->GetParameter(3);
1212 Double_t slope = fitter->GetParameter(4);
1214 // Linear fitter - not possible to make boundaries
1215 // Do not accept non possible z and dzdx combinations
1216 Bool_t acceptablez = kTRUE;
1217 Double_t zref = 0.0;
1218 for (Int_t iLayer = 0; iLayer < kNPlanes; iLayer++) {
1219 if(!tracklets[iLayer].IsOK()) continue;
1220 zref = offset + slope * (tracklets[iLayer].GetX0() - xref);
1221 if (TMath::Abs(tracklets[iLayer].GetZfit(0) - zref) > tracklets[iLayer].GetPadLength() * 0.5 + 1.0)
1222 acceptablez = kFALSE;
1225 Double_t dzmf = zfitter.GetFunctionParameter(1);
1226 Double_t zmf = zfitter.GetFunctionValue(&xref);
1227 fgTiltedRieman->FixParameter(3, zmf);
1228 fgTiltedRieman->FixParameter(4, dzmf);
1230 fitter->ReleaseParameter(3);
1231 fitter->ReleaseParameter(4);
1232 offset = fitter->GetParameter(3);
1233 slope = fitter->GetParameter(4);
1236 // Calculate Curvarture
1237 Double_t a = fitter->GetParameter(0);
1238 Double_t b = fitter->GetParameter(1);
1239 Double_t c = fitter->GetParameter(2);
1240 Double_t curvature = 1.0 + b*b - c*a;
1241 if (curvature > 0.0)
1242 curvature = a / TMath::Sqrt(curvature);
1244 Double_t chi2track = fitter->GetChisquare()/Double_t(nPoints);
1246 // Prepare error calculation
1247 TMatrixD covarPolY(3,3);
1248 covarPolY(0,0) = sumPolY[0]; covarPolY(1,1) = sumPolY[2]; covarPolY(2,2) = sumPolY[4];
1249 covarPolY(0,1) = covarPolY(1,0) = sumPolY[1];
1250 covarPolY(0,2) = covarPolY(2,0) = sumPolY[2];
1251 covarPolY(2,1) = covarPolY(1,2) = sumPolY[3];
1253 TMatrixD covarPolZ(2,2);
1254 covarPolZ(0,0) = sumPolZ[0]; covarPolZ(1,1) = sumPolZ[2];
1255 covarPolZ(1,0) = covarPolZ(0,1) = sumPolZ[1];
1258 // Update the tracklets
1259 Double_t x1, dy, dz;
1261 memset(cov, 0, sizeof(Double_t) * 15);
1262 for(Int_t iLayer = 0; iLayer < AliTRDtrackerV1::kNPlanes; iLayer++) {
1264 x = tracklets[iLayer].GetX0();
1270 memset(cov, 0, sizeof(Double_t) * 3);
1271 TMatrixD transform(3,3);
1274 transform(0,2) = x*x;
1278 TMatrixD covariance(transform, TMatrixD::kMult, covarPolY);
1279 covariance *= transform.T();
1280 TMatrixD transformZ(2,2);
1281 transformZ(0,0) = transformZ(1,1) = 1;
1282 transformZ(0,1) = x;
1283 TMatrixD covarZ(transformZ, TMatrixD::kMult, covarPolZ);
1284 covarZ *= transformZ.T();
1285 // y: R^2 = (x - x0)^2 + (y - y0)^2
1286 // => y = y0 +/- Sqrt(R^2 - (x - x0)^2)
1287 // R = Sqrt() = 1/Curvature
1288 // => y = y0 +/- Sqrt(1/Curvature^2 - (x - x0)^2)
1289 Double_t res = (x * a + b); // = (x - x0)/y0
1291 res = 1.0 - c * a + b * b - res; // = (R^2 - (x - x0)^2)/y0^2
1293 res = TMath::Sqrt(res);
1294 y = (1.0 - res) / a;
1296 cov[0] = covariance(0,0);
1297 cov[2] = covarZ(0,0);
1300 // dy: R^2 = (x - x0)^2 + (y - y0)^2
1301 // => y = +/- Sqrt(R^2 - (x - x0)^2) + y0
1302 // => dy/dx = (x - x0)/Sqrt(R^2 - (x - x0)^2)
1303 // Curvature: cr = 1/R = a/Sqrt(1 + b^2 - c*a)
1304 // => dy/dx = (x - x0)/(1/(cr^2) - (x - x0)^2)
1305 Double_t x0 = -b / a;
1306 if (-c * a + b * b + 1 > 0) {
1307 if (1.0/(curvature * curvature) - (x - x0) * (x - x0) > 0.0) {
1308 Double_t yderiv = (x - x0) / TMath::Sqrt(1.0/(curvature * curvature) - (x - x0) * (x - x0));
1309 if (a < 0) yderiv *= -1.0;
1313 z = offset + slope * (x - xref);
1315 tracklets[iLayer].SetYref(0, y);
1316 tracklets[iLayer].SetYref(1, dy);
1317 tracklets[iLayer].SetZref(0, z);
1318 tracklets[iLayer].SetZref(1, dz);
1319 tracklets[iLayer].SetC(curvature);
1320 tracklets[iLayer].SetCovRef(cov);
1321 tracklets[iLayer].SetChi2(chi2track);
1324 /* if(fkReconstructor->GetRecoParam()->GetStreamLevel(AliTRDrecoParam::kTracker) >=5){
1325 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
1326 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
1327 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
1328 Double_t chi2z = CalculateChi2Z(tracklets, offset, slope, xref);
1329 cstreamer << "FitTiltedRieman0"
1330 << "EventNumber=" << eventNumber
1331 << "CandidateNumber=" << candidateNumber
1333 << "Chi2Z=" << chi2z
1340 //____________________________________________________________________
1341 Double_t AliTRDtrackerV1::FitLine(const AliTRDtrackV1 *track, AliTRDseedV1 *tracklets, Bool_t err, Int_t np, AliTrackPoint *points)
1344 // Fit track with a staight line
1345 // Fills an AliTrackPoint array with np points
1346 // Function should be used to refit tracks when no magnetic field was on
1348 AliTRDLeastSquare yfitter, zfitter;
1349 AliTRDcluster *cl = NULL;
1351 AliTRDseedV1 work[kNPlanes], *tracklet = NULL;
1353 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
1354 if(!(tracklet = track->GetTracklet(ipl))) continue;
1355 if(!tracklet->IsOK()) continue;
1356 new(&work[ipl]) AliTRDseedV1(*tracklet);
1358 tracklets = &work[0];
1361 Double_t xref = CalculateReferenceX(tracklets);
1362 Double_t x, y, z, dx, ye, yr, tilt;
1363 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
1364 if(!tracklets[ipl].IsOK()) continue;
1365 for(Int_t itb = 0; itb < fgNTimeBins; itb++){
1366 if(!(cl = tracklets[ipl].GetClusters(itb))) continue;
1367 if (!tracklets[ipl].IsUsable(itb)) continue;
1371 zfitter.AddPoint(&dx, z, static_cast<Double_t>(TMath::Sqrt(cl->GetSigmaZ2())));
1375 Double_t z0 = zfitter.GetFunctionParameter(0);
1376 Double_t dzdx = zfitter.GetFunctionParameter(1);
1377 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
1378 if(!tracklets[ipl].IsOK()) continue;
1379 for(Int_t itb = 0; itb < fgNTimeBins; itb++){
1380 if(!(cl = tracklets[ipl].GetClusters(itb))) continue;
1381 if (!tracklets[ipl].IsUsable(itb)) continue;
1385 tilt = tracklets[ipl].GetTilt();
1387 yr = y + tilt*(z - z0 - dzdx*dx);
1388 // error definition changes for the different calls
1389 ye = tilt*TMath::Sqrt(cl->GetSigmaZ2());
1390 ye += err ? tracklets[ipl].GetSigmaY() : 0.2;
1391 yfitter.AddPoint(&dx, yr, ye);
1395 Double_t y0 = yfitter.GetFunctionParameter(0);
1396 Double_t dydx = yfitter.GetFunctionParameter(1);
1397 Double_t chi2 = 0.;//yfitter.GetChisquare()/Double_t(nPoints);
1399 //update track points array
1402 for(int ip=0; ip<np; ip++){
1403 points[ip].GetXYZ(xyz);
1404 xyz[1] = y0 + dydx * (xyz[0] - xref);
1405 xyz[2] = z0 + dzdx * (xyz[0] - xref);
1406 points[ip].SetXYZ(xyz);
1413 //_________________________________________________________________________
1414 Double_t AliTRDtrackerV1::FitRiemanTilt(const AliTRDtrackV1 *track, AliTRDseedV1 *tracklets, Bool_t sigError, Int_t np, AliTrackPoint *points)
1417 // Performs a Riemann fit taking tilting pad correction into account
1419 // Paramters: - Array of tracklets (connected to the track candidate)
1420 // - Flag selecting the error definition
1421 // Output: - Chi2 values of the track (in Parameter list)
1423 // The equations which has to be solved simultaneously are:
1425 // R^{2} = (x-x_{0})^{2} + (y^{*}-y_{0})^{2}
1426 // y^{*} = y - tg(h)(z - z_{t})
1427 // z_{t} = z_{0}+dzdx*(x-x_{r})
1429 // with (x, y, z) the coordinate of the cluster, (x_0, y_0, z_0) the coordinate of the center of the Riemann circle,
1430 // R its radius, x_r a constant refrence radial position in the middle of the TRD stack and dzdx the slope of the
1431 // track in the x-z plane. Using the following transformations
1433 // t = 1 / (x^{2} + y^{2})
1435 // v = 2 * tan(h) * t
1436 // w = 2 * tan(h) * (x - x_{r}) * t
1438 // One gets the following linear equation
1440 // a + b * u + c * t + d * v + e * w = 2 * (y + tg(h) * z) * t
1442 // where the coefficients have the following meaning
1446 // c = (R^{2} -x_{0}^{2} - y_{0}^{2})/y_{0}
1450 // The error calculation for the free term is thus
1452 // #sigma = 2 * #sqrt{#sigma^{2}_{y} + (tilt corr ...) + tg^{2}(h) * #sigma^{2}_{z}} * t
1455 // From this simple model one can compute chi^2 estimates and a rough approximation of pt from the curvature according
1458 // C = 1/R = a/(1 + b^{2} + c*a)
1462 // M.Ivanov <M.Ivanov@gsi.de>
1463 // A.Bercuci <A.Bercuci@gsi.de>
1464 // M.Fasel <M.Fasel@gsi.de>
1466 TLinearFitter *fitter = GetTiltedRiemanFitter();
1467 fitter->StoreData(kTRUE);
1468 fitter->ClearPoints();
1469 AliTRDLeastSquare zfitter;
1470 AliTRDcluster *cl = NULL;
1472 AliTRDseedV1 work[kNPlanes], *tracklet = NULL;
1474 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
1475 if(!(tracklet = track->GetTracklet(ipl))) continue;
1476 if(!tracklet->IsOK()) continue;
1477 new(&work[ipl]) AliTRDseedV1(*tracklet);
1479 tracklets = &work[0];
1482 Double_t xref = CalculateReferenceX(tracklets);
1483 Double_t x, y, z, t, tilt, dx, w, we;
1486 // Containers for Least-square fitter
1487 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
1488 if(!tracklets[ipl].IsOK()) continue;
1489 for(Int_t itb = 0; itb < AliTRDseedV1::kNclusters; itb++){
1490 if(!(cl = tracklets[ipl].GetClusters(itb))) continue;
1491 if (!tracklets[ipl].IsUsable(itb)) continue;
1495 tilt = tracklets[ipl].GetTilt();
1499 uvt[0] = 2. * x * t;
1501 uvt[2] = 2. * tilt * t;
1502 uvt[3] = 2. * tilt * dx * t;
1503 w = 2. * (y + tilt*z) * t;
1504 // error definition changes for the different calls
1506 we *= sigError ? TMath::Sqrt(cl->GetSigmaY2()) : 0.2;
1507 fitter->AddPoint(uvt, w, we);
1508 zfitter.AddPoint(&x, z, static_cast<Double_t>(TMath::Sqrt(cl->GetSigmaZ2())));
1512 if(fitter->Eval()) return 1.E10;
1514 Double_t z0 = fitter->GetParameter(3);
1515 Double_t dzdx = fitter->GetParameter(4);
1518 // Linear fitter - not possible to make boundaries
1519 // Do not accept non possible z and dzdx combinations
1520 Bool_t accept = kTRUE;
1521 Double_t zref = 0.0;
1522 for (Int_t iLayer = 0; iLayer < kNPlanes; iLayer++) {
1523 if(!tracklets[iLayer].IsOK()) continue;
1524 zref = z0 + dzdx * (tracklets[iLayer].GetX0() - xref);
1525 if (TMath::Abs(tracklets[iLayer].GetZfit(0) - zref) > tracklets[iLayer].GetPadLength() * 0.5 + 1.0)
1530 Double_t dzmf = zfitter.GetFunctionParameter(1);
1531 Double_t zmf = zfitter.GetFunctionValue(&xref);
1532 fitter->FixParameter(3, zmf);
1533 fitter->FixParameter(4, dzmf);
1535 fitter->ReleaseParameter(3);
1536 fitter->ReleaseParameter(4);
1537 z0 = fitter->GetParameter(3); // = zmf ?
1538 dzdx = fitter->GetParameter(4); // = dzmf ?
1541 // Calculate Curvature
1542 Double_t a = fitter->GetParameter(0);
1543 Double_t b = fitter->GetParameter(1);
1544 Double_t c = fitter->GetParameter(2);
1545 Double_t y0 = 1. / a;
1546 Double_t x0 = -b * y0;
1547 Double_t tmp = y0*y0 + x0*x0 - c*y0;
1548 if(tmp<=0.) return 1.E10;
1549 Double_t radius = TMath::Sqrt(tmp);
1550 Double_t curvature = 1.0 + b*b - c*a;
1551 if (curvature > 0.0) curvature = a / TMath::Sqrt(curvature);
1553 // Calculate chi2 of the fit
1554 Double_t chi2 = fitter->GetChisquare()/Double_t(nPoints);
1556 // Update the tracklets
1558 for(Int_t ip = 0; ip < kNPlanes; ip++) {
1559 x = tracklets[ip].GetX0();
1560 tmp = radius*radius-(x-x0)*(x-x0);
1561 if(tmp <= 0.) continue;
1562 tmp = TMath::Sqrt(tmp);
1564 // y: R^2 = (x - x0)^2 + (y - y0)^2
1565 // => y = y0 +/- Sqrt(R^2 - (x - x0)^2)
1566 tracklets[ip].SetYref(0, y0 - (y0>0.?1.:-1)*tmp);
1567 // => dy/dx = (x - x0)/Sqrt(R^2 - (x - x0)^2)
1568 tracklets[ip].SetYref(1, (x - x0) / tmp);
1569 tracklets[ip].SetZref(0, z0 + dzdx * (x - xref));
1570 tracklets[ip].SetZref(1, dzdx);
1571 tracklets[ip].SetC(curvature);
1572 tracklets[ip].SetChi2(chi2);
1575 //update track points array
1578 for(int ip=0; ip<np; ip++){
1579 points[ip].GetXYZ(xyz);
1580 xyz[1] = TMath::Abs(xyz[0] - x0) > radius ? 100. : y0 - (y0>0.?1.:-1.)*TMath::Sqrt((radius-(xyz[0]-x0))*(radius+(xyz[0]-x0)));
1581 xyz[2] = z0 + dzdx * (xyz[0] - xref);
1582 points[ip].SetXYZ(xyz);
1590 //____________________________________________________________________
1591 Double_t AliTRDtrackerV1::FitKalman(AliTRDtrackV1 *track, AliTRDseedV1 * const tracklets, Bool_t up, Int_t np, AliTrackPoint *points)
1593 // Kalman filter implementation for the TRD.
1594 // It returns the positions of the fit in the array "points"
1596 // Author : A.Bercuci@gsi.de
1598 // printf("Start track @ x[%f]\n", track->GetX());
1600 //prepare marker points along the track
1601 Int_t ip = np ? 0 : 1;
1603 if((up?-1:1) * (track->GetX() - points[ip].GetX()) > 0.) break;
1604 //printf("AliTRDtrackerV1::FitKalman() : Skip track marker x[%d] = %7.3f. Before track start ( %7.3f ).\n", ip, points[ip].GetX(), track->GetX());
1607 //if(points) printf("First marker point @ x[%d] = %f\n", ip, points[ip].GetX());
1610 AliTRDseedV1 tracklet, *ptrTracklet = NULL;
1612 //Loop through the TRD planes
1613 for (Int_t jplane = 0; jplane < kNPlanes; jplane++) {
1614 // GET TRACKLET OR BUILT IT
1615 Int_t iplane = up ? jplane : kNPlanes - 1 - jplane;
1617 if(!(ptrTracklet = &tracklets[iplane])) continue;
1619 if(!(ptrTracklet = track->GetTracklet(iplane))){
1620 /*AliTRDtrackerV1 *tracker = NULL;
1621 if(!(tracker = dynamic_cast<AliTRDtrackerV1*>( AliTRDrecoParam:Tracker()))) continue;
1622 ptrTracklet = new(&tracklet) AliTRDseedV1(iplane);
1623 if(!tracker->MakeTracklet(ptrTracklet, track)) */
1627 if(!ptrTracklet->IsOK()) continue;
1629 Double_t x = ptrTracklet->GetX0();
1632 //don't do anything if next marker is after next update point.
1633 if((up?-1:1) * (points[ip].GetX() - x) - fgkMaxStep < 0) break;
1634 if(((up?-1:1) * (points[ip].GetX() - track->GetX()) < 0) && !PropagateToX(*track, points[ip].GetX(), fgkMaxStep)) return -1.;
1636 Double_t xyz[3]; // should also get the covariance
1638 track->Global2LocalPosition(xyz, track->GetAlpha());
1639 points[ip].SetXYZ(xyz[0], xyz[1], xyz[2]);
1642 // printf("plane[%d] tracklet[%p] x[%f]\n", iplane, ptrTracklet, x);
1644 // Propagate closer to the next update point
1645 if(((up?-1:1) * (x - track->GetX()) + fgkMaxStep < 0) && !PropagateToX(*track, x + (up?-1:1)*fgkMaxStep, fgkMaxStep)) return -1.;
1647 if(!AdjustSector(track)) return -1;
1648 if(TMath::Abs(track->GetSnp()) > fgkMaxSnp) return -1;
1650 //load tracklet to the tracker and the track
1652 if((index = FindTracklet(ptrTracklet)) < 0){
1653 ptrTracklet = SetTracklet(&tracklet);
1654 index = fTracklets->GetEntriesFast()-1;
1656 track->SetTracklet(ptrTracklet, index);*/
1659 // register tracklet to track with tracklet creation !!
1660 // PropagateBack : loaded tracklet to the tracker and update index
1661 // RefitInward : update index
1662 // MakeTrack : loaded tracklet to the tracker and update index
1663 if(!tracklets) track->SetTracklet(ptrTracklet, -1);
1666 //Calculate the mean material budget along the path inside the chamber
1667 Double_t xyz0[3]; track->GetXYZ(xyz0);
1668 Double_t alpha = track->GetAlpha();
1669 Double_t xyz1[3], y, z;
1670 if(!track->GetProlongation(x, y, z)) return -1;
1671 xyz1[0] = x * TMath::Cos(alpha) - y * TMath::Sin(alpha);
1672 xyz1[1] = +x * TMath::Sin(alpha) + y * TMath::Cos(alpha);
1674 if((xyz0[0] - xyz1[9] < 1e-3) && (xyz0[0] - xyz1[9] < 1e-3)) continue; // check wheter we are at the same global x position
1676 if(AliTracker::MeanMaterialBudget(xyz0, xyz1, param) <=0.) break;
1677 Double_t xrho = param[0]*param[4]; // density*length
1678 Double_t xx0 = param[1]; // radiation length
1680 //Propagate the track
1681 track->PropagateTo(x, xx0, xrho);
1682 if (!AdjustSector(track)) break;
1685 Double_t cov[3]; ptrTracklet->GetCovAt(x, cov);
1686 Double_t p[2] = { ptrTracklet->GetY(), ptrTracklet->GetZ()};
1687 Double_t chi2 = ((AliExternalTrackParam*)track)->GetPredictedChi2(p, cov);
1688 if(chi2<1e+10) track->Update(p, cov, chi2);
1691 //Reset material budget if 2 consecutive gold
1692 if(iplane>0 && track->GetTracklet(iplane-1) && ptrTracklet->GetN() + track->GetTracklet(iplane-1)->GetN() > 20) track->SetBudget(2, 0.);
1693 } // end planes loop
1697 if(((up?-1:1) * (points[ip].GetX() - track->GetX()) < 0) && !PropagateToX(*track, points[ip].GetX(), fgkMaxStep)) return -1.;
1699 Double_t xyz[3]; // should also get the covariance
1701 track->Global2LocalPosition(xyz, track->GetAlpha());
1702 points[ip].SetXYZ(xyz[0], xyz[1], xyz[2]);
1706 return track->GetChi2();
1709 //_________________________________________________________________________
1710 Float_t AliTRDtrackerV1::CalculateChi2Z(AliTRDseedV1 *tracklets, Double_t offset, Double_t slope, Double_t xref)
1713 // Calculates the chi2-value of the track in z-Direction including tilting pad correction.
1714 // A linear dependence on the x-value serves as a model.
1715 // The parameters are related to the tilted Riemann fit.
1716 // Parameters: - Array of tracklets (AliTRDseedV1) related to the track candidate
1717 // - the offset for the reference x
1719 // - the reference x position
1720 // Output: - The Chi2 value of the track in z-Direction
1722 Float_t chi2Z = 0, nLayers = 0;
1723 for (Int_t iLayer = 0; iLayer < AliTRDgeometry::kNlayer; iLayer++) {
1724 if(!tracklets[iLayer].IsOK()) continue;
1725 Double_t z = offset + slope * (tracklets[iLayer].GetX0() - xref);
1726 chi2Z += TMath::Abs(tracklets[iLayer].GetZfit(0) - z);
1729 chi2Z /= TMath::Max((nLayers - 3.0),1.0);
1733 //_____________________________________________________________________________
1734 Int_t AliTRDtrackerV1::PropagateToX(AliTRDtrackV1 &t, Double_t xToGo, Double_t maxStep)
1737 // Starting from current X-position of track <t> this function
1738 // extrapolates the track up to radial position <xToGo>.
1739 // Returns 1 if track reaches the plane, and 0 otherwise
1742 const Double_t kEpsilon = 0.00001;
1744 // Current track X-position
1745 Double_t xpos = t.GetX();
1747 // Direction: inward or outward
1748 Double_t dir = (xpos < xToGo) ? 1.0 : -1.0;
1750 while (((xToGo - xpos) * dir) > kEpsilon) {
1759 // The next step size
1760 Double_t step = dir * TMath::Min(TMath::Abs(xToGo-xpos),maxStep);
1762 // Get the global position of the starting point
1765 // X-position after next step
1768 // Get local Y and Z at the X-position of the next step
1769 if(t.GetProlongation(x,y,z)<0) return 0; // No prolongation possible
1771 // The global position of the end point of this prolongation step
1772 xyz1[0] = x * TMath::Cos(t.GetAlpha()) - y * TMath::Sin(t.GetAlpha());
1773 xyz1[1] = +x * TMath::Sin(t.GetAlpha()) + y * TMath::Cos(t.GetAlpha());
1776 // Calculate the mean material budget between start and
1777 // end point of this prolongation step
1778 if(AliTracker::MeanMaterialBudget(xyz0, xyz1, param)<=0.) return 0;
1780 // Propagate the track to the X-position after the next step
1781 if (!t.PropagateTo(x, param[1], param[0]*param[4])) return 0;
1783 // Rotate the track if necessary
1786 // New track X-position
1796 //_____________________________________________________________________________
1797 Int_t AliTRDtrackerV1::ReadClusters(TClonesArray* &array, TTree *clusterTree) const
1800 // Reads AliTRDclusters from the file.
1801 // The names of the cluster tree and branches
1802 // should match the ones used in AliTRDclusterizer::WriteClusters()
1805 Int_t nsize = Int_t(clusterTree->GetTotBytes() / (sizeof(AliTRDcluster)));
1806 TObjArray *clusterArray = new TObjArray(nsize+1000);
1808 TBranch *branch = clusterTree->GetBranch("TRDcluster");
1810 AliError("Can't get the branch !");
1813 branch->SetAddress(&clusterArray);
1816 Float_t nclusters = fkReconstructor->GetRecoParam()->GetNClusters();
1817 if(fkReconstructor->IsHLT()) nclusters /= AliTRDgeometry::kNsector;
1818 array = new TClonesArray("AliTRDcluster", Int_t(nclusters));
1819 array->SetOwner(kTRUE);
1822 // Loop through all entries in the tree
1823 Int_t nEntries = (Int_t) clusterTree->GetEntries();
1826 AliTRDcluster *c = NULL;
1827 for (Int_t iEntry = 0; iEntry < nEntries; iEntry++) {
1829 nbytes += clusterTree->GetEvent(iEntry);
1831 // Get the number of points in the detector
1832 Int_t nCluster = clusterArray->GetEntriesFast();
1833 for (Int_t iCluster = 0; iCluster < nCluster; iCluster++) {
1834 if(!(c = (AliTRDcluster *) clusterArray->UncheckedAt(iCluster))) continue;
1835 new((*fClusters)[ncl++]) AliTRDcluster(*c);
1836 delete (clusterArray->RemoveAt(iCluster));
1840 delete clusterArray;
1845 //_____________________________________________________________________________
1846 Int_t AliTRDtrackerV1::LoadClusters(TTree *cTree)
1849 // Fills clusters into TRD tracking sectors
1852 if(!fkReconstructor->IsWritingClusters()){
1853 fClusters = AliTRDReconstructor::GetClusters();
1855 if (ReadClusters(fClusters, cTree)) {
1856 AliError("Problem with reading the clusters !");
1862 if(!fClusters || !fClusters->GetEntriesFast()){
1863 AliInfo("No TRD clusters");
1868 BuildTrackingContainers();
1870 //Int_t ncl = fClusters->GetEntriesFast();
1871 //AliInfo(Form("Clusters %d [%6.2f %% in the active volume]", ncl, 100.*float(nin)/ncl));
1876 //_____________________________________________________________________________
1877 Int_t AliTRDtrackerV1::LoadClusters(TClonesArray * const clusters)
1880 // Fills clusters into TRD tracking sectors
1881 // Function for use in the HLT
1883 if(!clusters || !clusters->GetEntriesFast()){
1884 AliInfo("No TRD clusters");
1888 fClusters = clusters;
1892 BuildTrackingContainers();
1894 //Int_t ncl = fClusters->GetEntriesFast();
1895 //AliInfo(Form("Clusters %d [%6.2f %% in the active volume]", ncl, 100.*float(nin)/ncl));
1901 //____________________________________________________________________
1902 Int_t AliTRDtrackerV1::BuildTrackingContainers()
1904 // Building tracking containers for clusters
1906 Int_t nin =0, icl = fClusters->GetEntriesFast();
1908 AliTRDcluster *c = (AliTRDcluster *) fClusters->UncheckedAt(icl);
1909 if(c->IsInChamber()) nin++;
1910 Int_t detector = c->GetDetector();
1911 Int_t sector = fGeom->GetSector(detector);
1912 Int_t stack = fGeom->GetStack(detector);
1913 Int_t layer = fGeom->GetLayer(detector);
1915 fTrSec[sector].GetChamber(stack, layer, kTRUE)->InsertCluster(c, icl);
1918 const AliTRDCalDet *cal = AliTRDcalibDB::Instance()->GetT0Det();
1919 for(int isector =0; isector<AliTRDgeometry::kNsector; isector++){
1920 if(!fTrSec[isector].GetNChambers()) continue;
1921 fTrSec[isector].Init(fkReconstructor, cal);
1929 //____________________________________________________________________
1930 void AliTRDtrackerV1::UnloadClusters()
1933 // Clears the arrays of clusters and tracks. Resets sectors and timebins
1934 // If option "force" is also set the containers are also deleted. This is useful
1939 if(HasRemoveContainers()){delete fTracks; fTracks = NULL;}
1942 fTracklets->Delete();
1943 if(HasRemoveContainers()){delete fTracklets; fTracklets = NULL;}
1946 if(IsClustersOwner()) fClusters->Delete();
1948 // save clusters array in the reconstructor for further use.
1949 if(!fkReconstructor->IsWritingClusters()){
1950 AliTRDReconstructor::SetClusters(fClusters);
1951 SetClustersOwner(kFALSE);
1952 } else AliTRDReconstructor::SetClusters(NULL);
1955 for (int i = 0; i < AliTRDgeometry::kNsector; i++) fTrSec[i].Clear();
1957 // Increment the Event Number
1958 AliTRDtrackerDebug::SetEventNumber(AliTRDtrackerDebug::GetEventNumber() + 1);
1961 // //____________________________________________________________________
1962 // void AliTRDtrackerV1::UseClusters(const AliKalmanTrack *t, Int_t) const
1964 // const AliTRDtrackV1 *track = dynamic_cast<const AliTRDtrackV1*>(t);
1965 // if(!track) return;
1967 // AliTRDseedV1 *tracklet = NULL;
1968 // for(Int_t ily=AliTRDgeometry::kNlayer; ily--;){
1969 // if(!(tracklet = track->GetTracklet(ily))) continue;
1970 // AliTRDcluster *c = NULL;
1971 // for(Int_t ic=AliTRDseed::kNclusters; ic--;){
1972 // if(!(c=tracklet->GetClusters(ic))) continue;
1979 //_____________________________________________________________________________
1980 Bool_t AliTRDtrackerV1::AdjustSector(AliTRDtrackV1 *const track)
1983 // Rotates the track when necessary
1986 Double_t alpha = AliTRDgeometry::GetAlpha();
1987 Double_t y = track->GetY();
1988 Double_t ymax = track->GetX()*TMath::Tan(0.5*alpha);
1991 if (!track->Rotate( alpha)) {
1995 else if (y < -ymax) {
1996 if (!track->Rotate(-alpha)) {
2006 //____________________________________________________________________
2007 AliTRDseedV1* AliTRDtrackerV1::GetTracklet(AliTRDtrackV1 *const track, Int_t p, Int_t &idx)
2009 // Find tracklet for TRD track <track>
2018 // Detailed description
2020 idx = track->GetTrackletIndex(p);
2021 AliTRDseedV1 *tracklet = (idx==0xffff) ? NULL : (AliTRDseedV1*)fTracklets->UncheckedAt(idx);
2026 //____________________________________________________________________
2027 AliTRDseedV1* AliTRDtrackerV1::SetTracklet(const AliTRDseedV1 * const tracklet)
2029 // Add this tracklet to the list of tracklets stored in the tracker
2032 // - tracklet : pointer to the tracklet to be added to the list
2035 // - the index of the new tracklet in the tracker tracklets list
2037 // Detailed description
2038 // Build the tracklets list if it is not yet created (late initialization)
2039 // and adds the new tracklet to the list.
2042 fTracklets = new TClonesArray("AliTRDseedV1", AliTRDgeometry::Nsector()*kMaxTracksStack);
2043 fTracklets->SetOwner(kTRUE);
2045 Int_t nentries = fTracklets->GetEntriesFast();
2046 return new ((*fTracklets)[nentries]) AliTRDseedV1(*tracklet);
2049 //____________________________________________________________________
2050 AliTRDtrackV1* AliTRDtrackerV1::SetTrack(const AliTRDtrackV1 * const track)
2052 // Add this track to the list of tracks stored in the tracker
2055 // - track : pointer to the track to be added to the list
2058 // - the pointer added
2060 // Detailed description
2061 // Build the tracks list if it is not yet created (late initialization)
2062 // and adds the new track to the list.
2065 fTracks = new TClonesArray("AliTRDtrackV1", AliTRDgeometry::Nsector()*kMaxTracksStack);
2066 fTracks->SetOwner(kTRUE);
2068 Int_t nentries = fTracks->GetEntriesFast();
2069 return new ((*fTracks)[nentries]) AliTRDtrackV1(*track);
2074 //____________________________________________________________________
2075 Int_t AliTRDtrackerV1::Clusters2TracksSM(Int_t sector, AliESDEvent *esd)
2078 // Steer tracking for one SM.
2081 // sector : Array of (SM) propagation layers containing clusters
2082 // esd : The current ESD event. On output it contains the also
2083 // the ESD (TRD) tracks found in this SM.
2086 // Number of tracks found in this TRD supermodule.
2088 // Detailed description
2090 // 1. Unpack AliTRDpropagationLayers objects for each stack.
2091 // 2. Launch stack tracking.
2092 // See AliTRDtrackerV1::Clusters2TracksStack() for details.
2093 // 3. Pack results in the ESD event.
2096 // allocate space for esd tracks in this SM
2097 TClonesArray esdTrackList("AliESDtrack", 2*kMaxTracksStack);
2098 esdTrackList.SetOwner();
2101 Int_t nChambers = 0;
2102 AliTRDtrackingChamber **stack = NULL, *chamber = NULL;
2103 for(int istack = 0; istack<AliTRDgeometry::kNstack; istack++){
2104 if(!(stack = fTrSec[sector].GetStack(istack))) continue;
2106 for(int ilayer=0; ilayer<AliTRDgeometry::kNlayer; ilayer++){
2107 if(!(chamber = stack[ilayer])) continue;
2108 if(chamber->GetNClusters() < fgNTimeBins * fkReconstructor->GetRecoParam() ->GetFindableClusters()) continue;
2110 //AliInfo(Form("sector %d stack %d layer %d clusters %d", sector, istack, ilayer, chamber->GetNClusters()));
2112 if(nChambers < 4) continue;
2113 //AliInfo(Form("Doing stack %d", istack));
2114 nTracks += Clusters2TracksStack(stack, &esdTrackList);
2116 //AliInfo(Form("Found %d tracks in SM %d [%d]\n", nTracks, sector, esd->GetNumberOfTracks()));
2118 for(int itrack=0; itrack<nTracks; itrack++)
2119 esd->AddTrack((AliESDtrack*)esdTrackList[itrack]);
2121 // Reset Track and Candidate Number
2122 AliTRDtrackerDebug::SetCandidateNumber(0);
2123 AliTRDtrackerDebug::SetTrackNumber(0);
2127 //____________________________________________________________________
2128 Int_t AliTRDtrackerV1::Clusters2TracksStack(AliTRDtrackingChamber **stack, TClonesArray * const esdTrackList)
2131 // Make tracks in one TRD stack.
2134 // layer : Array of stack propagation layers containing clusters
2135 // esdTrackList : Array of ESD tracks found by the stand alone tracker.
2136 // On exit the tracks found in this stack are appended.
2139 // Number of tracks found in this stack.
2141 // Detailed description
2143 // 1. Find the 3 most useful seeding chambers. See BuildSeedingConfigs() for details.
2144 // 2. Steer AliTRDtrackerV1::MakeSeeds() for 3 seeding layer configurations.
2145 // See AliTRDtrackerV1::MakeSeeds() for more details.
2146 // 3. Arrange track candidates in decreasing order of their quality
2147 // 4. Classify tracks in 5 categories according to:
2148 // a) number of layers crossed
2150 // 5. Sign clusters by tracks in decreasing order of track quality
2151 // 6. Build AliTRDtrack out of seeding tracklets
2153 // 8. Build ESD track and register it to the output list
2156 const AliTRDCalDet *cal = AliTRDcalibDB::Instance()->GetT0Det();
2157 AliTRDtrackingChamber *chamber = NULL;
2158 AliTRDtrackingChamber **ci = NULL;
2159 AliTRDseedV1 sseed[kMaxTracksStack*6]; // to be initialized
2160 Int_t pars[4]; // MakeSeeds parameters
2162 //Double_t alpha = AliTRDgeometry::GetAlpha();
2163 //Double_t shift = .5 * alpha;
2164 Int_t configs[kNConfigs];
2166 // Purge used clusters from the containers
2168 for(Int_t ic = kNPlanes; ic--; ci++){
2169 if(!(*ci)) continue;
2173 // Build initial seeding configurations
2174 Double_t quality = BuildSeedingConfigs(stack, configs);
2175 if(fkReconstructor->GetRecoParam()->GetStreamLevel(AliTRDrecoParam::kTracker) > 10){
2176 AliInfo(Form("Plane config %d %d %d Quality %f"
2177 , configs[0], configs[1], configs[2], quality));
2181 // Initialize contors
2182 Int_t ntracks, // number of TRD track candidates
2183 ntracks1, // number of registered TRD tracks/iter
2184 ntracks2 = 0; // number of all registered TRD tracks in stack
2188 Int_t ic = 0; ci = &stack[0];
2189 while(ic<kNPlanes && !(*ci)){ic++; ci++;}
2190 if(!(*ci)) return ntracks2;
2191 Int_t istack = fGeom->GetStack((*ci)->GetDetector());
2194 // Loop over seeding configurations
2195 ntracks = 0; ntracks1 = 0;
2196 for (Int_t iconf = 0; iconf<3; iconf++) {
2197 pars[0] = configs[iconf];
2200 ntracks = MakeSeeds(stack, &sseed[6*ntracks], pars);
2201 //AliInfo(Form("Number of Tracks after iteration step %d: %d\n", iconf, ntracks));
2202 if(ntracks == kMaxTracksStack) break;
2204 AliDebug(2, Form("Candidate TRD tracks %d in iteration %d.", ntracks, fSieveSeeding));
2208 // Sort the seeds according to their quality
2209 Int_t sort[kMaxTracksStack];
2210 TMath::Sort(ntracks, fTrackQuality, sort, kTRUE);
2212 // Initialize number of tracks so far and logic switches
2213 Int_t ntracks0 = esdTrackList->GetEntriesFast();
2214 Bool_t signedTrack[kMaxTracksStack];
2215 Bool_t fakeTrack[kMaxTracksStack];
2216 for (Int_t i=0; i<ntracks; i++){
2217 signedTrack[i] = kFALSE;
2218 fakeTrack[i] = kFALSE;
2220 //AliInfo("Selecting track candidates ...");
2222 // Sieve clusters in decreasing order of track quality
2223 Double_t trackParams[7];
2224 // AliTRDseedV1 *lseed = NULL;
2225 Int_t jSieve = 0, candidates;
2227 //AliInfo(Form("\t\tITER = %i ", jSieve));
2229 // Check track candidates
2231 for (Int_t itrack = 0; itrack < ntracks; itrack++) {
2232 Int_t trackIndex = sort[itrack];
2233 if (signedTrack[trackIndex] || fakeTrack[trackIndex]) continue;
2236 // Calculate track parameters from tracklets seeds
2241 for (Int_t jLayer = 0; jLayer < kNPlanes; jLayer++) {
2242 Int_t jseed = kNPlanes*trackIndex+jLayer;
2243 if(!sseed[jseed].IsOK()) continue;
2244 if (TMath::Abs(sseed[jseed].GetYref(0) / sseed[jseed].GetX0()) < 0.158) findable++;
2245 // TODO here we get a sig fault which should never happen !
2246 sseed[jseed].UpdateUsed();
2247 ncl += sseed[jseed].GetN2();
2248 nused += sseed[jseed].GetNUsed();
2252 // Filter duplicated tracks
2254 //printf("Skip %d nused %d\n", trackIndex, nused);
2255 fakeTrack[trackIndex] = kTRUE;
2258 if (Float_t(nused)/ncl >= .25){
2259 //printf("Skip %d nused/ncl >= .25\n", trackIndex);
2260 fakeTrack[trackIndex] = kTRUE;
2265 Bool_t skip = kFALSE;
2268 if(nlayers < 6) {skip = kTRUE; break;}
2269 if(TMath::Log(1.E-9+fTrackQuality[trackIndex]) < -5.){skip = kTRUE; break;}
2273 if(nlayers < findable){skip = kTRUE; break;}
2274 if(TMath::Log(1.E-9+fTrackQuality[trackIndex]) < -4.){skip = kTRUE; break;}
2278 if ((nlayers == findable) || (nlayers == 6)) { skip = kTRUE; break;}
2279 if (TMath::Log(1.E-9+fTrackQuality[trackIndex]) < -6.0){skip = kTRUE; break;}
2283 if (TMath::Log(1.E-9+fTrackQuality[trackIndex]) < -5.){skip = kTRUE; break;}
2287 if (nlayers == 3){skip = kTRUE; break;}
2288 //if (TMath::Log(1.E-9+fTrackQuality[trackIndex]) - nused/(nlayers-3.0) < -15.0){skip = kTRUE; break;}
2293 //printf("REJECTED : %d [%d] nlayers %d trackQuality = %e nused %d\n", itrack, trackIndex, nlayers, fTrackQuality[trackIndex], nused);
2296 signedTrack[trackIndex] = kTRUE;
2298 // Build track parameters
2299 AliTRDseedV1 *lseed =&sseed[trackIndex*6];
2301 while(idx<3 && !lseed->IsOK()) {
2305 Double_t x = lseed->GetX0();// - 3.5;
2306 trackParams[0] = x; //NEW AB
2307 trackParams[1] = lseed->GetYref(0); // lseed->GetYat(x);
2308 trackParams[2] = lseed->GetZref(0); // lseed->GetZat(x);
2309 trackParams[3] = TMath::Sin(TMath::ATan(lseed->GetYref(1)));
2310 trackParams[4] = lseed->GetZref(1) / TMath::Sqrt(1. + lseed->GetYref(1) * lseed->GetYref(1));
2311 trackParams[5] = lseed->GetC();
2312 Int_t ich = 0; while(!(chamber = stack[ich])) ich++;
2313 trackParams[6] = fGeom->GetSector(chamber->GetDetector());/* *alpha+shift; // Supermodule*/
2315 if(fkReconstructor->GetRecoParam()->GetStreamLevel(AliTRDrecoParam::kTracker) > 1 && fkReconstructor->IsDebugStreaming()){
2316 //AliInfo(Form("Track %d [%d] nlayers %d trackQuality = %e nused %d, yref = %3.3f", itrack, trackIndex, nlayers, fTrackQuality[trackIndex], nused, trackParams[1]));
2318 AliTRDseedV1 *dseed[6];
2319 for(Int_t iseed = AliTRDgeometry::kNlayer; iseed--;) dseed[iseed] = new AliTRDseedV1(lseed[iseed]);
2321 //Int_t eventNrInFile = esd->GetEventNumberInFile();
2322 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
2323 Int_t trackNumber = AliTRDtrackerDebug::GetTrackNumber();
2324 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
2325 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
2326 cstreamer << "Clusters2TracksStack"
2327 << "EventNumber=" << eventNumber
2328 << "TrackNumber=" << trackNumber
2329 << "CandidateNumber=" << candidateNumber
2330 << "Iter=" << fSieveSeeding
2331 << "Like=" << fTrackQuality[trackIndex]
2332 << "S0.=" << dseed[0]
2333 << "S1.=" << dseed[1]
2334 << "S2.=" << dseed[2]
2335 << "S3.=" << dseed[3]
2336 << "S4.=" << dseed[4]
2337 << "S5.=" << dseed[5]
2338 << "p0=" << trackParams[0]
2339 << "p1=" << trackParams[1]
2340 << "p2=" << trackParams[2]
2341 << "p3=" << trackParams[3]
2342 << "p4=" << trackParams[4]
2343 << "p5=" << trackParams[5]
2344 << "p6=" << trackParams[6]
2346 << "NLayers=" << nlayers
2347 << "Findable=" << findable
2348 << "NUsed=" << nused
2352 AliTRDtrackV1 *track = MakeTrack(&sseed[trackIndex*kNPlanes], trackParams);
2354 AliDebug(1, "Track building failed.");
2358 //AliInfo("End of MakeTrack()");
2359 AliESDtrack *esdTrack = new ((*esdTrackList)[ntracks0++]) AliESDtrack();
2360 esdTrack->UpdateTrackParams(track, AliESDtrack::kTRDout);
2361 esdTrack->SetLabel(track->GetLabel());
2362 track->UpdateESDtrack(esdTrack);
2363 // write ESD-friends if neccessary
2364 if (fkReconstructor->GetRecoParam()->GetStreamLevel(AliTRDrecoParam::kTracker) > 0){
2365 AliTRDtrackV1 *calibTrack = new AliTRDtrackV1(*track);
2366 calibTrack->SetOwner();
2367 esdTrack->AddCalibObject(calibTrack);
2370 AliTRDtrackerDebug::SetTrackNumber(AliTRDtrackerDebug::GetTrackNumber() + 1);
2374 } while(jSieve<5 && candidates); // end track candidates sieve
2375 if(!ntracks1) break;
2377 // increment counters
2378 ntracks2 += ntracks1;
2380 if(fkReconstructor->IsHLT()) break;
2383 // Rebuild plane configurations and indices taking only unused clusters into account
2384 quality = BuildSeedingConfigs(stack, configs);
2385 if(quality < 1.E-7) break; //fkReconstructor->GetRecoParam() ->GetPlaneQualityThreshold()) break;
2387 for(Int_t ip = 0; ip < kNPlanes; ip++){
2388 if(!(chamber = stack[ip])) continue;
2389 chamber->Build(fGeom, cal);//Indices(fSieveSeeding);
2392 if(fkReconstructor->GetRecoParam()->GetStreamLevel(AliTRDrecoParam::kTracker) > 10){
2393 AliInfo(Form("Sieve level %d Plane config %d %d %d Quality %f", fSieveSeeding, configs[0], configs[1], configs[2], quality));
2395 } while(fSieveSeeding<10); // end stack clusters sieve
2399 //AliInfo(Form("Registered TRD tracks %d in stack %d.", ntracks2, pars[1]));
2404 //___________________________________________________________________
2405 Double_t AliTRDtrackerV1::BuildSeedingConfigs(AliTRDtrackingChamber **stack, Int_t *configs)
2408 // Assign probabilities to chambers according to their
2409 // capability of producing seeds.
2413 // layers : Array of stack propagation layers for all 6 chambers in one stack
2414 // configs : On exit array of configuration indexes (see GetSeedingConfig()
2415 // for details) in the decreasing order of their seeding probabilities.
2419 // Return top configuration quality
2421 // Detailed description:
2423 // To each chamber seeding configuration (see GetSeedingConfig() for
2424 // the list of all configurations) one defines 2 quality factors:
2425 // - an apriori topological quality (see GetSeedingConfig() for details) and
2426 // - a data quality based on the uniformity of the distribution of
2427 // clusters over the x range (time bins population). See CookChamberQA() for details.
2428 // The overall chamber quality is given by the product of this 2 contributions.
2431 Double_t chamberQ[kNPlanes];memset(chamberQ, 0, kNPlanes*sizeof(Double_t));
2432 AliTRDtrackingChamber *chamber = NULL;
2433 for(int iplane=0; iplane<kNPlanes; iplane++){
2434 if(!(chamber = stack[iplane])) continue;
2435 chamberQ[iplane] = (chamber = stack[iplane]) ? chamber->GetQuality() : 0.;
2438 Double_t tconfig[kNConfigs];memset(tconfig, 0, kNConfigs*sizeof(Double_t));
2439 Int_t planes[] = {0, 0, 0, 0};
2440 for(int iconf=0; iconf<kNConfigs; iconf++){
2441 GetSeedingConfig(iconf, planes);
2442 tconfig[iconf] = fgTopologicQA[iconf];
2443 for(int iplane=0; iplane<4; iplane++) tconfig[iconf] *= chamberQ[planes[iplane]];
2446 TMath::Sort((Int_t)kNConfigs, tconfig, configs, kTRUE);
2447 // AliInfo(Form("q[%d] = %f", configs[0], tconfig[configs[0]]));
2448 // AliInfo(Form("q[%d] = %f", configs[1], tconfig[configs[1]]));
2449 // AliInfo(Form("q[%d] = %f", configs[2], tconfig[configs[2]]));
2451 return tconfig[configs[0]];
2454 //____________________________________________________________________
2455 Int_t AliTRDtrackerV1::MakeSeeds(AliTRDtrackingChamber **stack, AliTRDseedV1 * const sseed, const Int_t * const ipar)
2458 // Seed tracklets and build candidate TRD tracks. The procedure is used during barrel tracking to account for tracks which are
2459 // either missed by TPC prolongation or conversions inside the TRD volume.
2460 // For stand alone tracking the procedure is used to estimate all tracks measured by TRD.
2463 // layers : Array of stack propagation layers containing clusters
2464 // sseed : Array of empty tracklet seeds. On exit they are filled.
2465 // ipar : Control parameters:
2466 // ipar[0] -> seeding chambers configuration
2467 // ipar[1] -> stack index
2468 // ipar[2] -> number of track candidates found so far
2471 // Number of tracks candidates found.
2473 // The following steps are performed:
2474 // 1. Build seeding layers by collapsing all time bins from each of the four seeding chambers along the
2475 // radial coordinate. See AliTRDtrackingChamber::GetSeedingLayer() for details. The chambers selection for seeding
2476 // is described in AliTRDtrackerV1::Clusters2TracksStack().
2477 // 2. Using the seeding clusters from the seeding layer (step 1) build combinatorics using the following algorithm:
2478 // - for each seeding cluster in the lower seeding layer find
2479 // - all seeding clusters in the upper seeding layer inside a road defined by a given phi angle. The angle
2480 // is calculated on the minimum pt of tracks from vertex accesible to the stand alone tracker.
2481 // - for each pair of two extreme seeding clusters select middle upper cluster using roads defined externally by the
2483 // - select last seeding cluster as the nearest to the linear approximation of the track described by the first three
2484 // seeding clusters.
2485 // The implementation of road calculation and cluster selection can be found in the functions AliTRDchamberTimeBin::BuildCond()
2486 // and AliTRDchamberTimeBin::GetClusters().
2487 // 3. Helix fit of the seeding clusters set. (see AliTRDtrackerFitter::FitRieman(AliTRDcluster**)). No tilt correction is
2488 // performed at this level
2489 // 4. Initialize seeding tracklets in the seeding chambers.
2490 // 5. *Filter 0* Chi2 cut on the Y and Z directions. The threshold is set externally by the reco params.
2491 // 6. Attach (true) clusters to seeding tracklets (see AliTRDseedV1::AttachClusters()) and fit tracklet (see
2492 // AliTRDseedV1::Fit()). The number of used clusters used by current seeds should not exceed ... (25).
2493 // 7. *Filter 1* Check if all 4 seeding tracklets are correctly constructed.
2494 // 8. Helix fit of the clusters from the seeding tracklets with tilt correction. Refit tracklets using the new
2495 // approximation of the track.
2496 // 9. *Filter 2* Calculate likelihood of the track. (See AliTRDtrackerV1::CookLikelihood()). The following quantities are
2497 // checked against the Riemann fit:
2498 // - position resolution in y
2499 // - angular resolution in the bending plane
2500 // - likelihood of the number of clusters attached to the tracklet
2501 // 10. Extrapolation of the helix fit to the other 2 chambers *non seeding* chambers:
2502 // - Initialization of extrapolation tracklets with the fit parameters
2503 // - Attach clusters to extrapolated tracklets
2504 // - Helix fit of tracklets
2505 // 11. Improve seeding tracklets quality by reassigning clusters based on the last parameters of the track
2506 // See AliTRDtrackerV1::ImproveSeedQuality() for details.
2507 // 12. Helix fit of all 6 seeding tracklets and chi2 calculation
2508 // 13. Hyperplane fit and track quality calculation. See AliTRDtrackerFitter::FitHyperplane() for details.
2509 // 14. Cooking labels for tracklets. Should be done only for MC
2510 // 15. Register seeds.
2513 // Marian Ivanov <M.Ivanov@gsi.de>
2514 // Alexandru Bercuci <A.Bercuci@gsi.de>
2515 // Markus Fasel <M.Fasel@gsi.de>
2517 AliTRDtrackingChamber *chamber = NULL;
2518 AliTRDcluster *c[kNSeedPlanes] = {NULL, NULL, NULL, NULL}; // initilize seeding clusters
2519 AliTRDseedV1 *cseed = &sseed[0]; // initialize tracklets for first track
2520 Int_t ncl, mcl; // working variable for looping over clusters
2521 Int_t index[AliTRDchamberTimeBin::kMaxClustersLayer], jndex[AliTRDchamberTimeBin::kMaxClustersLayer];
2523 // chi2[0] = tracklet chi2 on the Z direction
2524 // chi2[1] = tracklet chi2 on the R direction
2527 // this should be data member of AliTRDtrack TODO
2528 Double_t seedQuality[kMaxTracksStack];
2530 // unpack control parameters
2531 Int_t config = ipar[0];
2532 Int_t ntracks = ipar[1];
2533 Int_t istack = ipar[2];
2534 Int_t planes[kNSeedPlanes]; GetSeedingConfig(config, planes);
2535 Int_t planesExt[kNPlanes-kNSeedPlanes]; GetExtrapolationConfig(config, planesExt);
2538 // Init chambers geometry
2539 Double_t hL[kNPlanes]; // Tilting angle
2540 Float_t padlength[kNPlanes]; // pad lenghts
2541 Float_t padwidth[kNPlanes]; // pad widths
2542 AliTRDpadPlane *pp = NULL;
2543 for(int iplane=0; iplane<kNPlanes; iplane++){
2544 pp = fGeom->GetPadPlane(iplane, istack);
2545 hL[iplane] = TMath::Tan(TMath::DegToRad()*pp->GetTiltingAngle());
2546 padlength[iplane] = pp->GetLengthIPad();
2547 padwidth[iplane] = pp->GetWidthIPad();
2550 // Init anode wire position for chambers
2551 Double_t x0[kNPlanes], // anode wire position
2552 driftLength = .5*AliTRDgeometry::AmThick() - AliTRDgeometry::DrThick(); // drift length
2553 TGeoHMatrix *matrix = NULL;
2554 Double_t loc[] = {AliTRDgeometry::AnodePos(), 0., 0.};
2555 Double_t glb[] = {0., 0., 0.};
2556 AliTRDtrackingChamber **cIter = &stack[0];
2557 for(int iLayer=0; iLayer<kNPlanes; iLayer++,cIter++){
2558 if(!(*cIter)) continue;
2559 if(!(matrix = fGeom->GetClusterMatrix((*cIter)->GetDetector()))){
2561 x0[iLayer] = fgkX0[iLayer];
2563 matrix->LocalToMaster(loc, glb);
2564 x0[iLayer] = glb[0];
2567 AliDebug(2, Form("Making seeds Stack[%d] Config[%d] Tracks[%d]...", istack, config, ntracks));
2569 // Build seeding layers
2572 for(int isl=0; isl<kNSeedPlanes; isl++){
2573 if(!(chamber = stack[planes[isl]])) continue;
2574 if(!chamber->GetSeedingLayer(fSeedTB[isl], fGeom, fkReconstructor)) continue;
2577 if(nlayers < kNSeedPlanes) return ntracks;
2580 // Start finding seeds
2581 Double_t cond0[4], cond1[4], cond2[4];
2583 while((c[3] = (*fSeedTB[3])[icl++])){
2585 fSeedTB[0]->BuildCond(c[3], cond0, 0);
2586 fSeedTB[0]->GetClusters(cond0, index, ncl);
2587 //printf("Found c[3] candidates 0 %d\n", ncl);
2590 c[0] = (*fSeedTB[0])[index[jcl++]];
2592 Double_t dx = c[3]->GetX() - c[0]->GetX();
2593 Double_t dzdx = (c[3]->GetZ() - c[0]->GetZ())/dx;
2594 Double_t dydx = (c[3]->GetY() - c[0]->GetY())/dx;
2595 fSeedTB[1]->BuildCond(c[0], cond1, 1, dzdx, dydx);
2596 fSeedTB[1]->GetClusters(cond1, jndex, mcl);
2597 //printf("Found c[0] candidates 1 %d\n", mcl);
2601 c[1] = (*fSeedTB[1])[jndex[kcl++]];
2603 fSeedTB[2]->BuildCond(c[1], cond2, 2, dzdx, dydx);
2604 c[2] = fSeedTB[2]->GetNearestCluster(cond2);
2605 //printf("Found c[1] candidate 2 %p\n", c[2]);
2608 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].",
2609 c[0]->GetX(), c[0]->GetY(), c[0]->GetZ(),
2610 c[1]->GetX(), c[1]->GetY(), c[1]->GetZ(),
2611 c[2]->GetX(), c[2]->GetY(), c[2]->GetZ(),
2612 c[3]->GetX(), c[3]->GetY(), c[3]->GetZ()));
2614 for (Int_t il = 0; il < kNPlanes; il++) cseed[il].Reset();
2618 AliTRDseedV1 *tseed = &cseed[0];
2620 for(int iLayer=0; iLayer<kNPlanes; iLayer++, tseed++, cIter++){
2621 Int_t det = (*cIter) ? (*cIter)->GetDetector() : -1;
2622 tseed->SetDetector(det);
2623 tseed->SetTilt(hL[iLayer]);
2624 tseed->SetPadLength(padlength[iLayer]);
2625 tseed->SetPadWidth(padwidth[iLayer]);
2626 tseed->SetReconstructor(fkReconstructor);
2627 tseed->SetX0(det<0 ? fR[iLayer]+driftLength : x0[iLayer]);
2628 tseed->Init(GetRiemanFitter());
2629 tseed->SetStandAlone(kTRUE);
2632 Bool_t isFake = kFALSE;
2633 if(fkReconstructor->GetRecoParam()->GetStreamLevel(AliTRDrecoParam::kTracker) >= 2 && fkReconstructor->IsDebugStreaming()){
2634 if (c[0]->GetLabel(0) != c[3]->GetLabel(0)) isFake = kTRUE;
2635 if (c[1]->GetLabel(0) != c[3]->GetLabel(0)) isFake = kTRUE;
2636 if (c[2]->GetLabel(0) != c[3]->GetLabel(0)) isFake = kTRUE;
2639 for(Int_t l = 0; l < kNSeedPlanes; l++) xpos[l] = fSeedTB[l]->GetX();
2641 for(int il=0; il<4; il++) yref[il] = cseed[planes[il]].GetYref(0);
2642 Int_t ll = c[3]->GetLabel(0);
2643 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
2644 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
2645 AliRieman *rim = GetRiemanFitter();
2646 TTreeSRedirector &cs0 = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
2648 <<"EventNumber=" << eventNumber
2649 <<"CandidateNumber=" << candidateNumber
2650 <<"isFake=" << isFake
2651 <<"config=" << config
2653 <<"chi2z=" << chi2[0]
2654 <<"chi2y=" << chi2[1]
2655 <<"Y2exp=" << cond2[0]
2656 <<"Z2exp=" << cond2[1]
2657 <<"X0=" << xpos[0] //layer[sLayer]->GetX()
2658 <<"X1=" << xpos[1] //layer[sLayer + 1]->GetX()
2659 <<"X2=" << xpos[2] //layer[sLayer + 2]->GetX()
2660 <<"X3=" << xpos[3] //layer[sLayer + 3]->GetX()
2661 <<"yref0=" << yref[0]
2662 <<"yref1=" << yref[1]
2663 <<"yref2=" << yref[2]
2664 <<"yref3=" << yref[3]
2669 <<"Seed0.=" << &cseed[planes[0]]
2670 <<"Seed1.=" << &cseed[planes[1]]
2671 <<"Seed2.=" << &cseed[planes[2]]
2672 <<"Seed3.=" << &cseed[planes[3]]
2673 <<"RiemanFitter.=" << rim
2676 if(chi2[0] > fkReconstructor->GetRecoParam() ->GetChi2Z()/*7./(3. - sLayer)*//*iter*/){
2677 AliDebug(3, Form("Filter on chi2Z [%f].", chi2[0]));
2678 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2681 if(chi2[1] > fkReconstructor->GetRecoParam() ->GetChi2Y()/*1./(3. - sLayer)*//*iter*/){
2682 AliDebug(3, Form("Filter on chi2Y [%f].", chi2[1]));
2683 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2686 //AliInfo("Passed chi2 filter.");
2688 // try attaching clusters to tracklets
2690 AliTRDcluster *cl = NULL;
2691 for(int iLayer=0; iLayer<kNSeedPlanes; iLayer++){
2692 Int_t jLayer = planes[iLayer];
2693 Int_t nNotInChamber = 0;
2694 if(!cseed[jLayer].AttachClusters(stack[jLayer], kTRUE)) continue;
2695 if(/*fkReconstructor->IsHLT()*/kFALSE){
2696 cseed[jLayer].UpdateUsed();
2697 if(!cseed[jLayer].IsOK()) continue;
2699 cseed[jLayer].Fit();
2700 cseed[jLayer].UpdateUsed();
2701 cseed[jLayer].ResetClusterIter();
2702 while((cl = cseed[jLayer].NextCluster())){
2703 if(!cl->IsInChamber()) nNotInChamber++;
2705 //printf("clusters[%d], used[%d], not in chamber[%d]\n", cseed[jLayer].GetN(), cseed[jLayer].GetNUsed(), nNotInChamber);
2706 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
2711 if(mlayers < kNSeedPlanes){
2712 AliDebug(2, Form("Found only %d tracklets out of %d. Skip.", mlayers, kNSeedPlanes));
2713 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2717 // temporary exit door for the HLT
2718 if(fkReconstructor->IsHLT()){
2719 // attach clusters to extrapolation chambers
2720 for(int iLayer=0; iLayer<kNPlanes-kNSeedPlanes; iLayer++){
2721 Int_t jLayer = planesExt[iLayer];
2722 if(!(chamber = stack[jLayer])) continue;
2723 if(!cseed[jLayer].AttachClusters(chamber, kTRUE)) continue;
2724 cseed[jLayer].Fit();
2726 fTrackQuality[ntracks] = 1.; // dummy value
2728 if(ntracks == kMaxTracksStack) return ntracks;
2734 // Update Seeds and calculate Likelihood
2735 // fit tracklets and cook likelihood
2736 FitTiltedRieman(&cseed[0], kTRUE);
2737 for(int iLayer=0; iLayer<kNSeedPlanes; iLayer++){
2738 Int_t jLayer = planes[iLayer];
2739 cseed[jLayer].Fit(kTRUE);
2741 Double_t like = CookLikelihood(&cseed[0], planes); // to be checked
2743 if (TMath::Log(1.E-9 + like) < fkReconstructor->GetRecoParam() ->GetTrackLikelihood()){
2744 AliDebug(3, Form("Filter on likelihood %f[%e].", TMath::Log(1.E-9 + like), like));
2745 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2748 //AliInfo(Form("Passed likelihood %f[%e].", TMath::Log(1.E-9 + like), like));
2750 // book preliminary results
2751 seedQuality[ntracks] = like;
2752 fSeedLayer[ntracks] = config;/*sLayer;*/
2754 // attach clusters to the extrapolation seeds
2756 for(int iLayer=0; iLayer<kNPlanes-kNSeedPlanes; iLayer++){
2757 Int_t jLayer = planesExt[iLayer];
2758 if(!(chamber = stack[jLayer])) continue;
2760 // fit extrapolated seed
2761 if ((jLayer == 0) && !(cseed[1].IsOK())) continue;
2762 if ((jLayer == 5) && !(cseed[4].IsOK())) continue;
2763 AliTRDseedV1 pseed = cseed[jLayer];
2764 if(!pseed.AttachClusters(chamber, kTRUE)) continue;
2766 cseed[jLayer] = pseed;
2767 FitTiltedRieman(cseed, kTRUE);
2768 cseed[jLayer].Fit(kTRUE);
2772 // AliInfo("Extrapolation done.");
2773 // Debug Stream containing all the 6 tracklets
2774 if(fkReconstructor->GetRecoParam()->GetStreamLevel(AliTRDrecoParam::kTracker) >= 2 && fkReconstructor->IsDebugStreaming()){
2775 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
2776 TLinearFitter *tiltedRieman = GetTiltedRiemanFitter();
2777 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
2778 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
2779 cstreamer << "MakeSeeds1"
2780 << "EventNumber=" << eventNumber
2781 << "CandidateNumber=" << candidateNumber
2782 << "S0.=" << &cseed[0]
2783 << "S1.=" << &cseed[1]
2784 << "S2.=" << &cseed[2]
2785 << "S3.=" << &cseed[3]
2786 << "S4.=" << &cseed[4]
2787 << "S5.=" << &cseed[5]
2788 << "FitterT.=" << tiltedRieman
2792 if(fkReconstructor->GetRecoParam()->HasImproveTracklets()){
2793 AliTRDseedV1 bseed[AliTRDgeometry::kNlayer];
2794 for(Int_t jLayer=AliTRDgeometry::kNlayer; jLayer--;) bseed[jLayer] = cseed[jLayer];
2796 if(ImproveSeedQuality(stack, cseed) < mlayers+elayers){
2797 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2798 AliDebug(3, "Filter on improve seeds.");
2801 for(Int_t jLayer=AliTRDgeometry::kNlayer; jLayer--;) cseed[jLayer] = bseed[jLayer];
2804 //AliInfo("Improve seed quality done.");
2806 // fit full track and cook likelihoods
2807 // Double_t curv = FitRieman(&cseed[0], chi2);
2808 // Double_t chi2ZF = chi2[0] / TMath::Max((mlayers - 3.), 1.);
2809 // Double_t chi2RF = chi2[1] / TMath::Max((mlayers - 3.), 1.);
2811 // do the final track fitting (Once with vertex constraint and once without vertex constraint)
2812 Double_t chi2Vals[3];
2813 chi2Vals[0] = FitTiltedRieman(&cseed[0], kTRUE);
2814 if(fkReconstructor->GetRecoParam()->IsVertexConstrained())
2815 chi2Vals[1] = FitTiltedRiemanConstraint(&cseed[0], GetZ()); // Do Vertex Constrained fit if desired
2818 chi2Vals[2] = GetChi2Z(&cseed[0]) / TMath::Max((mlayers - 3.), 1.);
2819 // Chi2 definitions in testing stage
2820 //chi2Vals[2] = GetChi2ZTest(&cseed[0]);
2821 fTrackQuality[ntracks] = CalculateTrackLikelihood(&cseed[0], &chi2Vals[0]);
2822 //AliInfo("Hyperplane fit done\n");
2824 if(fkReconstructor->GetRecoParam()->GetStreamLevel(AliTRDrecoParam::kTracker) >= 2 && fkReconstructor->IsDebugStreaming()){
2825 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
2826 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
2827 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
2828 TLinearFitter *fitterTC = GetTiltedRiemanFitterConstraint();
2829 TLinearFitter *fitterT = GetTiltedRiemanFitter();
2831 for(Int_t iseed = 0; iseed < kNPlanes; iseed++){
2832 ncls += cseed[iseed].IsOK() ? cseed[iseed].GetN2() : 0;
2834 cstreamer << "MakeSeeds2"
2835 << "EventNumber=" << eventNumber
2836 << "CandidateNumber=" << candidateNumber
2837 << "Chi2TR=" << chi2Vals[0]
2838 << "Chi2TC=" << chi2Vals[1]
2839 << "Nlayers=" << mlayers
2840 << "NClusters=" << ncls
2842 << "S0.=" << &cseed[0]
2843 << "S1.=" << &cseed[1]
2844 << "S2.=" << &cseed[2]
2845 << "S3.=" << &cseed[3]
2846 << "S4.=" << &cseed[4]
2847 << "S5.=" << &cseed[5]
2848 << "FitterT.=" << fitterT
2849 << "FitterTC.=" << fitterTC
2854 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2855 if(ntracks == kMaxTracksStack){
2856 AliWarning(Form("Number of seeds reached maximum allowed (%d) in stack.", kMaxTracksStack));
2867 //_____________________________________________________________________________
2868 AliTRDtrackV1* AliTRDtrackerV1::MakeTrack(AliTRDseedV1 * const seeds, Double_t *params)
2871 // Build a TRD track out of tracklet candidates
2874 // seeds : array of tracklets
2875 // params : array of track parameters as they are estimated by stand alone tracker. 7 elements.
2876 // [0] - radial position of the track at reference point
2877 // [1] - y position of the fit at [0]
2878 // [2] - z position of the fit at [0]
2879 // [3] - snp of the first tracklet
2880 // [4] - tgl of the first tracklet
2881 // [5] - curvature of the Riemann fit - 1/pt
2882 // [6] - sector rotation angle
2887 // Initialize the TRD track based on the parameters of the fit and a parametric covariance matrix
2888 // (diagonal with constant variance terms TODO - correct parameterization)
2890 // In case of HLT just register the tracklets in the tracker and return values of the Riemann fit. For the
2891 // offline case perform a full Kalman filter on the already found tracklets (see AliTRDtrackerV1::FollowBackProlongation()
2892 // for details). Do also MC label calculation and PID if propagation successfully.
2895 Double_t alpha = AliTRDgeometry::GetAlpha();
2896 Double_t shift = AliTRDgeometry::GetAlpha()/2.0;
2899 c[ 0] = 0.2; // s^2_y
2900 c[ 1] = 0.0; c[ 2] = 2.0; // s^2_z
2901 c[ 3] = 0.0; c[ 4] = 0.0; c[ 5] = 0.02; // s^2_snp
2902 c[ 6] = 0.0; c[ 7] = 0.0; c[ 8] = 0.0; c[ 9] = 0.1; // s^2_tgl
2903 c[10] = 0.0; c[11] = 0.0; c[12] = 0.0; c[13] = 0.0; c[14] = params[5]*params[5]*0.01; // s^2_1/pt
2905 AliTRDtrackV1 track(seeds, ¶ms[1], c, params[0], params[6]*alpha+shift);
2906 track.PropagateTo(params[0]-5.0);
2907 AliTRDseedV1 *ptrTracklet = NULL;
2909 // skip Kalman filter for HLT
2910 if(/*fkReconstructor->IsHLT()*/kFALSE){
2911 for (Int_t jLayer = 0; jLayer < AliTRDgeometry::kNlayer; jLayer++) {
2912 track.UnsetTracklet(jLayer);
2913 ptrTracklet = &seeds[jLayer];
2914 if(!ptrTracklet->IsOK()) continue;
2915 if(TMath::Abs(ptrTracklet->GetYref(1) - ptrTracklet->GetYfit(1)) >= .2) continue; // check this condition with Marian
2916 ptrTracklet = SetTracklet(ptrTracklet);
2917 ptrTracklet->UseClusters();
2918 track.SetTracklet(ptrTracklet, fTracklets->GetEntriesFast()-1);
2920 AliTRDtrackV1 *ptrTrack = SetTrack(&track);
2921 ptrTrack->CookPID();
2922 ptrTrack->CookLabel(.9);
2923 ptrTrack->SetReconstructor(fkReconstructor);
2927 if(TMath::Abs(track.GetY())>1000)
2930 track.ResetCovariance(1);
2931 Int_t nc = TMath::Abs(FollowBackProlongation(track));
2932 if(fkReconstructor->GetRecoParam()->GetStreamLevel(AliTRDrecoParam::kTracker) > 5 && fkReconstructor->IsDebugStreaming()){
2933 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
2934 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
2935 Double_t p[5]; // Track Params for the Debug Stream
2936 track.GetExternalParameters(params[0], p);
2937 TTreeSRedirector &cs = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
2939 << "EventNumber=" << eventNumber
2940 << "CandidateNumber=" << candidateNumber
2942 << "X=" << params[0]
2948 << "Yin=" << params[1]
2949 << "Zin=" << params[2]
2950 << "snpin=" << params[3]
2951 << "tndin=" << params[4]
2952 << "crvin=" << params[5]
2953 << "track.=" << &track
2956 if (nc < 30) return NULL;
2958 AliTRDtrackV1 *ptrTrack = SetTrack(&track);
2959 ptrTrack->SetReconstructor(fkReconstructor);
2960 ptrTrack->CookLabel(.9);
2962 // computes PID for track
2963 ptrTrack->CookPID();
2964 // update calibration references using this track
2965 AliTRDCalibraFillHisto *calibra = AliTRDCalibraFillHisto::Instance();
2967 AliInfo("Could not get Calibra instance\n");
2968 if(calibra->GetHisto2d()) calibra->UpdateHistogramsV1(ptrTrack);
2974 //____________________________________________________________________
2975 Int_t AliTRDtrackerV1::ImproveSeedQuality(AliTRDtrackingChamber **stack, AliTRDseedV1 *cseed)
2978 // Sort tracklets according to "quality" and try to "improve" the first 4 worst
2981 // layers : Array of propagation layers for a stack/supermodule
2982 // cseed : Array of 6 seeding tracklets which has to be improved
2985 // cssed : Improved seeds
2987 // Detailed description
2989 // Iterative procedure in which new clusters are searched for each
2990 // tracklet seed such that the seed quality (see AliTRDseed::GetQuality())
2991 // can be maximized. If some optimization is found the old seeds are replaced.
2996 // make a local working copy
2997 AliTRDtrackingChamber *chamber = NULL;
2998 AliTRDseedV1 bseed[AliTRDgeometry::kNlayer];
3000 Float_t quality(0.),
3001 lQuality[] = {1.e3, 1.e3, 1.e3, 1.e3, 1.e3, 1.e3};
3003 for(Int_t jLayer=AliTRDgeometry::kNlayer; jLayer--;){
3004 bseed[jLayer] = cseed[jLayer];
3005 if(!bseed[jLayer].IsOK()) continue;
3007 lQuality[jLayer] = bseed[jLayer].GetQuality(kTRUE);
3008 quality += lQuality[jLayer];
3010 Float_t chi2 = FitTiltedRieman(bseed, kTRUE);
3012 for (Int_t iter = 0; iter < 4; iter++) {
3013 // Try better cluster set
3014 Int_t nLayers(0); Float_t qualitynew(0.);
3016 TMath::Sort(Int_t(AliTRDgeometry::kNlayer), lQuality, indexes, kFALSE);
3017 for(Int_t jLayer=AliTRDgeometry::kNlayer; jLayer--;) {
3018 Int_t bLayer = indexes[jLayer];
3019 bseed[bLayer].Reset("c");
3020 if(!(chamber = stack[bLayer])) continue;
3021 if(!bseed[bLayer].AttachClusters(chamber, kTRUE)) continue;
3022 bseed[bLayer].Fit(kTRUE);
3023 if(!bseed[bLayer].IsOK()) continue;
3025 lQuality[jLayer] = bseed[jLayer].GetQuality(kTRUE);
3026 qualitynew += lQuality[jLayer];
3028 if(rLayers > nLayers){
3029 AliDebug(1, Form("Lost %d tracklets while improving.", rLayers-nLayers));
3031 } else rLayers=nLayers;
3033 if(qualitynew >= quality){
3034 AliDebug(4, Form("Quality worsen in iter[%d].", iter));
3036 } else quality = qualitynew;
3038 // try improve track parameters
3039 AliTRDseedV1 tseed[AliTRDgeometry::kNlayer];
3040 for(Int_t jLayer=AliTRDgeometry::kNlayer; jLayer--;) tseed[jLayer]=bseed[jLayer];
3041 Float_t chi2new = FitTiltedRieman(tseed, kTRUE);
3043 AliDebug(4, Form("Chi2 worsen in iter[%d].", iter));
3045 } else chi2 = chi2new;
3047 // store better tracklets
3048 for(Int_t jLayer=AliTRDgeometry::kNlayer; jLayer--;) bseed[jLayer]=tseed[jLayer];
3051 if(fkReconstructor->GetRecoParam()->GetStreamLevel(AliTRDrecoParam::kTracker) >= 7 && fkReconstructor->IsDebugStreaming()){
3052 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
3053 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
3054 TLinearFitter *tiltedRieman = GetTiltedRiemanFitter();
3055 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
3056 cstreamer << "ImproveSeedQuality"
3057 << "EventNumber=" << eventNumber
3058 << "CandidateNumber=" << candidateNumber
3059 << "Iteration=" << iter
3060 << "S0.=" << &bseed[0]
3061 << "S1.=" << &bseed[1]
3062 << "S2.=" << &bseed[2]
3063 << "S3.=" << &bseed[3]
3064 << "S4.=" << &bseed[4]
3065 << "S5.=" << &bseed[5]
3066 << "FitterT.=" << tiltedRieman
3070 // we are sure that at least 2 tracklets are OK !
3074 //_________________________________________________________________________
3075 Double_t AliTRDtrackerV1::CalculateTrackLikelihood(const AliTRDseedV1 *const tracklets, Double_t *chi2){
3077 // Calculates the Track Likelihood value. This parameter serves as main quality criterion for
3078 // the track selection
3079 // The likelihood value containes:
3080 // - The chi2 values from the both fitters and the chi2 values in z-direction from a linear fit
3081 // - The Sum of the Parameter |slope_ref - slope_fit|/Sigma of the tracklets
3082 // For all Parameters an exponential dependency is used
3084 // Parameters: - Array of tracklets (AliTRDseedV1) related to the track candidate
3085 // - Array of chi2 values:
3086 // * Non-Constrained Tilted Riemann fit
3087 // * Vertex-Constrained Tilted Riemann fit
3088 // * z-Direction from Linear fit
3089 // Output: - The calculated track likelihood
3094 Double_t chi2phi = 0, nLayers = 0;
3095 for (Int_t iLayer = 0; iLayer < kNPlanes; iLayer++) {
3096 if(!tracklets[iLayer].IsOK()) continue;
3097 chi2phi += tracklets[iLayer].GetChi2Phi();
3100 chi2phi /= Float_t (nLayers - 2.0);
3102 Double_t likeChi2Z = TMath::Exp(-chi2[2] * 0.14); // Chi2Z
3103 Double_t likeChi2TC = (fkReconstructor->GetRecoParam()->IsVertexConstrained()) ?
3104 TMath::Exp(-chi2[1] * 0.677) : 1; // Constrained Tilted Riemann
3105 Double_t likeChi2TR = TMath::Exp(-chi2[0] * 0.0078); // Non-constrained Tilted Riemann
3106 Double_t likeChi2Phi= TMath::Exp(-chi2phi * 3.23);//3.23
3107 Double_t trackLikelihood = likeChi2Z * likeChi2TR * likeChi2Phi;
3109 if(fkReconstructor->GetRecoParam()->GetStreamLevel(AliTRDrecoParam::kTracker) >= 2 && fkReconstructor->IsDebugStreaming()){
3110 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
3111 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
3112 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
3113 cstreamer << "CalculateTrackLikelihood0"
3114 << "EventNumber=" << eventNumber
3115 << "CandidateNumber=" << candidateNumber
3116 << "LikeChi2Z=" << likeChi2Z
3117 << "LikeChi2TR=" << likeChi2TR
3118 << "LikeChi2TC=" << likeChi2TC
3119 << "LikeChi2Phi=" << likeChi2Phi
3120 << "TrackLikelihood=" << trackLikelihood
3124 return trackLikelihood;
3127 //____________________________________________________________________
3128 Double_t AliTRDtrackerV1::CookLikelihood(AliTRDseedV1 *cseed, Int_t planes[4])
3131 // Calculate the probability of this track candidate.
3134 // cseeds : array of candidate tracklets
3135 // planes : array of seeding planes (see seeding configuration)
3136 // chi2 : chi2 values (on the Z and Y direction) from the rieman fit of the track.
3141 // Detailed description
3143 // The track quality is estimated based on the following 4 criteria:
3144 // 1. precision of the rieman fit on the Y direction (likea)
3145 // 2. chi2 on the Y direction (likechi2y)
3146 // 3. chi2 on the Z direction (likechi2z)
3147 // 4. number of attached clusters compared to a reference value
3148 // (see AliTRDrecoParam::fkFindable) (likeN)
3150 // The distributions for each type of probabilities are given below as of
3151 // (date). They have to be checked to assure consistency of estimation.
3154 // ratio of the total number of clusters/track which are expected to be found by the tracker.
3155 const AliTRDrecoParam *fRecoPars = fkReconstructor->GetRecoParam();
3157 Double_t chi2y = GetChi2Y(&cseed[0]);
3158 Double_t chi2z = GetChi2Z(&cseed[0]);
3160 Float_t nclusters = 0.;
3161 Double_t sumda = 0.;
3162 for(UChar_t ilayer = 0; ilayer < 4; ilayer++){
3163 Int_t jlayer = planes[ilayer];
3164 nclusters += cseed[jlayer].GetN2();
3165 sumda += TMath::Abs(cseed[jlayer].GetYfit(1) - cseed[jlayer].GetYref(1));
3169 Double_t likea = TMath::Exp(-sumda * fRecoPars->GetPhiSlope());
3170 Double_t likechi2y = 0.0000000001;
3171 if (fkReconstructor->IsCosmic() || chi2y < fRecoPars->GetChi2YCut()) likechi2y += TMath::Exp(-TMath::Sqrt(chi2y) * fRecoPars->GetChi2YSlope());
3172 Double_t likechi2z = TMath::Exp(-chi2z * fRecoPars->GetChi2ZSlope());
3173 Double_t likeN = TMath::Exp(-(fRecoPars->GetNMeanClusters() - nclusters) / fRecoPars->GetNSigmaClusters());
3174 Double_t like = likea * likechi2y * likechi2z * likeN;
3176 if(fkReconstructor->GetRecoParam()->GetStreamLevel(AliTRDrecoParam::kTracker) >= 2 && fkReconstructor->IsDebugStreaming()){
3177 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
3178 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
3179 Int_t nTracklets = 0; Float_t meanNcls = 0;
3180 for(Int_t iseed=0; iseed < kNPlanes; iseed++){
3181 if(!cseed[iseed].IsOK()) continue;
3183 meanNcls += cseed[iseed].GetN2();
3185 if(nTracklets) meanNcls /= nTracklets;
3186 // The Debug Stream contains the seed
3187 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
3188 cstreamer << "CookLikelihood"
3189 << "EventNumber=" << eventNumber
3190 << "CandidateNumber=" << candidateNumber
3191 << "tracklet0.=" << &cseed[0]
3192 << "tracklet1.=" << &cseed[1]
3193 << "tracklet2.=" << &cseed[2]
3194 << "tracklet3.=" << &cseed[3]
3195 << "tracklet4.=" << &cseed[4]
3196 << "tracklet5.=" << &cseed[5]
3197 << "sumda=" << sumda
3198 << "chi2y=" << chi2y
3199 << "chi2z=" << chi2z
3200 << "likea=" << likea
3201 << "likechi2y=" << likechi2y
3202 << "likechi2z=" << likechi2z
3203 << "nclusters=" << nclusters
3204 << "likeN=" << likeN
3206 << "meanncls=" << meanNcls
3213 //____________________________________________________________________
3214 void AliTRDtrackerV1::GetSeedingConfig(Int_t iconfig, Int_t planes[4])
3217 // Map seeding configurations to detector planes.
3220 // iconfig : configuration index
3221 // planes : member planes of this configuration. On input empty.
3224 // planes : contains the planes which are defining the configuration
3226 // Detailed description
3228 // Here is the list of seeding planes configurations together with
3229 // their topological classification:
3247 // The topologic quality is modeled as follows:
3248 // 1. The general model is define by the equation:
3249 // p(conf) = exp(-conf/2)
3250 // 2. According to the topologic classification, configurations from the same
3251 // class are assigned the agerage value over the model values.
3252 // 3. Quality values are normalized.
3254 // The topologic quality distribution as function of configuration is given below:
3256 // <img src="gif/topologicQA.gif">
3261 case 0: // 5432 TQ 0
3267 case 1: // 4321 TQ 0
3273 case 2: // 3210 TQ 0
3279 case 3: // 5321 TQ 1
3285 case 4: // 4210 TQ 1
3291 case 5: // 5431 TQ 1
3297 case 6: // 4320 TQ 1
3303 case 7: // 5430 TQ 2
3309 case 8: // 5210 TQ 2
3315 case 9: // 5421 TQ 3
3321 case 10: // 4310 TQ 3
3327 case 11: // 5410 TQ 4
3333 case 12: // 5420 TQ 5
3339 case 13: // 5320 TQ 5
3345 case 14: // 5310 TQ 5
3354 //____________________________________________________________________
3355 void AliTRDtrackerV1::GetExtrapolationConfig(Int_t iconfig, Int_t planes[2])
3358 // Returns the extrapolation planes for a seeding configuration.
3361 // iconfig : configuration index
3362 // planes : planes which are not in this configuration. On input empty.
3365 // planes : contains the planes which are not in the configuration
3367 // Detailed description
3371 case 0: // 5432 TQ 0
3375 case 1: // 4321 TQ 0
3379 case 2: // 3210 TQ 0
3383 case 3: // 5321 TQ 1
3387 case 4: // 4210 TQ 1
3391 case 5: // 5431 TQ 1
3395 case 6: // 4320 TQ 1
3399 case 7: // 5430 TQ 2
3403 case 8: // 5210 TQ 2
3407 case 9: // 5421 TQ 3
3411 case 10: // 4310 TQ 3
3415 case 11: // 5410 TQ 4
3419 case 12: // 5420 TQ 5
3423 case 13: // 5320 TQ 5
3427 case 14: // 5310 TQ 5
3434 //____________________________________________________________________
3435 AliCluster* AliTRDtrackerV1::GetCluster(Int_t idx) const
3437 Int_t ncls = fClusters->GetEntriesFast();
3438 return idx >= 0 && idx < ncls ? (AliCluster*)fClusters->UncheckedAt(idx) : NULL;
3441 //____________________________________________________________________
3442 AliTRDseedV1* AliTRDtrackerV1::GetTracklet(Int_t idx) const
3444 Int_t ntrklt = fTracklets->GetEntriesFast();
3445 return idx >= 0 && idx < ntrklt ? (AliTRDseedV1*)fTracklets->UncheckedAt(idx) : NULL;
3448 //____________________________________________________________________
3449 AliKalmanTrack* AliTRDtrackerV1::GetTrack(Int_t idx) const
3451 Int_t ntrk = fTracks->GetEntriesFast();
3452 return idx >= 0 && idx < ntrk ? (AliKalmanTrack*)fTracks->UncheckedAt(idx) : NULL;
3457 // //_____________________________________________________________________________
3458 // Int_t AliTRDtrackerV1::Freq(Int_t n, const Int_t *inlist
3459 // , Int_t *outlist, Bool_t down)
3462 // // Sort eleements according occurancy
3463 // // The size of output array has is 2*n
3470 // Int_t *sindexS = new Int_t[n]; // Temporary array for sorting
3471 // Int_t *sindexF = new Int_t[2*n];
3472 // for (Int_t i = 0; i < n; i++) {
3476 // TMath::Sort(n,inlist,sindexS,down);
3478 // Int_t last = inlist[sindexS[0]];
3479 // Int_t val = last;
3481 // sindexF[0+n] = last;
3482 // Int_t countPos = 0;
3484 // // Find frequency
3485 // for (Int_t i = 1; i < n; i++) {
3486 // val = inlist[sindexS[i]];
3487 // if (last == val) {
3488 // sindexF[countPos]++;
3492 // sindexF[countPos+n] = val;
3493 // sindexF[countPos]++;
3497 // if (last == val) {
3501 // // Sort according frequency
3502 // TMath::Sort(countPos,sindexF,sindexS,kTRUE);
3504 // for (Int_t i = 0; i < countPos; i++) {
3505 // outlist[2*i ] = sindexF[sindexS[i]+n];
3506 // outlist[2*i+1] = sindexF[sindexS[i]];
3509 // delete [] sindexS;
3510 // delete [] sindexF;
3517 //____________________________________________________________________
3518 void AliTRDtrackerV1::ResetSeedTB()
3520 // reset buffer for seeding time bin layers. If the time bin
3521 // layers are not allocated this function allocates them
3523 for(Int_t isl=0; isl<kNSeedPlanes; isl++){
3524 if(!fSeedTB[isl]) fSeedTB[isl] = new AliTRDchamberTimeBin();
3525 else fSeedTB[isl]->Clear();
3530 //_____________________________________________________________________________
3531 Float_t AliTRDtrackerV1::GetChi2Y(const AliTRDseedV1 * const tracklets) const
3533 // Calculates normalized chi2 in y-direction
3534 // chi2 = Sum chi2 / n_tracklets
3536 Double_t chi2 = 0.; Int_t n = 0;
3537 for(Int_t ipl = kNPlanes; ipl--;){
3538 if(!tracklets[ipl].IsOK()) continue;
3539 chi2 += tracklets[ipl].GetChi2Y();
3542 return n ? chi2/n : 0.;
3545 //_____________________________________________________________________________
3546 Float_t AliTRDtrackerV1::GetChi2Z(const AliTRDseedV1 *const tracklets) const
3548 // Calculates normalized chi2 in z-direction
3549 // chi2 = Sum chi2 / n_tracklets
3551 Double_t chi2 = 0; Int_t n = 0;
3552 for(Int_t ipl = kNPlanes; ipl--;){
3553 if(!tracklets[ipl].IsOK()) continue;
3554 chi2 += tracklets[ipl].GetChi2Z();
3557 return n ? chi2/n : 0.;
3560 //____________________________________________________________________
3561 Float_t AliTRDtrackerV1::CalculateReferenceX(const AliTRDseedV1 *const tracklets){
3563 // Calculates the reference x-position for the tilted Rieman fit defined as middle
3564 // of the stack (middle between layers 2 and 3). For the calculation all the tracklets
3565 // are taken into account
3567 // Parameters: - Array of tracklets(AliTRDseedV1)
3569 // Output: - The reference x-position(Float_t)
3570 // Only kept for compatibility with the old code
3572 Int_t nDistances = 0;
3573 Float_t meanDistance = 0.;
3574 Int_t startIndex = 5;
3575 for(Int_t il =5; il > 0; il--){
3576 if(tracklets[il].IsOK() && tracklets[il -1].IsOK()){
3577 Float_t xdiff = tracklets[il].GetX0() - tracklets[il -1].GetX0();
3578 meanDistance += xdiff;
3581 if(tracklets[il].IsOK()) startIndex = il;
3583 if(tracklets[0].IsOK()) startIndex = 0;
3585 // We should normally never get here
3586 Float_t xpos[2]; memset(xpos, 0, sizeof(Float_t) * 2);
3587 Int_t iok = 0, idiff = 0;
3588 // This attempt is worse and should be avoided:
3589 // check for two chambers which are OK and repeat this without taking the mean value
3590 // Strategy avoids a division by 0;
3591 for(Int_t il = 5; il >= 0; il--){
3592 if(tracklets[il].IsOK()){
3593 xpos[iok] = tracklets[il].GetX0();
3597 if(iok) idiff++; // to get the right difference;
3601 meanDistance = (xpos[0] - xpos[1])/idiff;
3604 // we have do not even have 2 layers which are OK? The we do not need to fit at all
3609 meanDistance /= nDistances;
3611 return tracklets[startIndex].GetX0() + (2.5 - startIndex) * meanDistance - 0.5 * (AliTRDgeometry::AmThick() + AliTRDgeometry::DrThick());
3614 //_____________________________________________________________________________
3615 Double_t AliTRDtrackerV1::FitTiltedRiemanV1(AliTRDseedV1 *const tracklets){
3617 // Track Fitter Function using the new class implementation of
3620 AliTRDtrackFitterRieman fitter;
3621 fitter.SetRiemanFitter(GetTiltedRiemanFitter());
3623 for(Int_t il = 0; il < AliTRDgeometry::kNlayer; il++) fitter.SetTracklet(il, &tracklets[il]);
3624 Double_t chi2 = fitter.Eval();
3625 // Update the tracklets
3626 Double_t cov[15]; Double_t x0;
3627 memset(cov, 0, sizeof(Double_t) * 15);
3628 for(Int_t il = 0; il < AliTRDgeometry::kNlayer; il++){
3629 x0 = tracklets[il].GetX0();
3630 tracklets[il].SetYref(0, fitter.GetYat(x0));
3631 tracklets[il].SetZref(0, fitter.GetZat(x0));
3632 tracklets[il].SetYref(1, fitter.GetDyDxAt(x0));
3633 tracklets[il].SetZref(1, fitter.GetDzDx());
3634 tracklets[il].SetC(fitter.GetCurvature());
3635 fitter.GetCovAt(x0, cov);
3636 tracklets[il].SetCovRef(cov);
3637 tracklets[il].SetChi2(chi2);
3642 ///////////////////////////////////////////////////////
3644 // Resources of class AliTRDLeastSquare //
3646 ///////////////////////////////////////////////////////
3648 //_____________________________________________________________________________
3649 AliTRDtrackerV1::AliTRDLeastSquare::AliTRDLeastSquare(){
3651 // Constructor of the nested class AliTRDtrackFitterLeastSquare
3653 memset(fParams, 0, sizeof(Double_t) * 2);
3654 memset(fSums, 0, sizeof(Double_t) * 6);
3655 memset(fCovarianceMatrix, 0, sizeof(Double_t) * 3);
3659 //_____________________________________________________________________________
3660 void AliTRDtrackerV1::AliTRDLeastSquare::AddPoint(const Double_t *const x, Double_t y, Double_t sigmaY){
3662 // Adding Point to the fitter
3665 Double_t weight = 1/(sigmaY > 1e-9 ? sigmaY : 1e-9);
3667 const Double_t &xpt = *x;
3668 // printf("Adding point x = %f, y = %f, sigma = %f\n", xpt, y, sigmaY);
3670 fSums[1] += weight * xpt;
3671 fSums[2] += weight * y;
3672 fSums[3] += weight * xpt * y;
3673 fSums[4] += weight * xpt * xpt;
3674 fSums[5] += weight * y * y;
3677 //_____________________________________________________________________________
3678 void AliTRDtrackerV1::AliTRDLeastSquare::RemovePoint(const Double_t *const x, Double_t y, Double_t sigmaY){
3680 // Remove Point from the sample
3683 Double_t weight = 1/(sigmaY > 1e-9 ? sigmaY : 1e-9);
3685 const Double_t &xpt = *x;
3687 fSums[1] -= weight * xpt;
3688 fSums[2] -= weight * y;
3689 fSums[3] -= weight * xpt * y;
3690 fSums[4] -= weight * xpt * xpt;
3691 fSums[5] -= weight * y * y;
3694 //_____________________________________________________________________________
3695 void AliTRDtrackerV1::AliTRDLeastSquare::Eval(){
3697 // Evaluation of the fit:
3698 // Calculation of the parameters
3699 // Calculation of the covariance matrix
3702 Double_t denominator = fSums[0] * fSums[4] - fSums[1] *fSums[1];
3703 if(denominator==0) return;
3705 // for(Int_t isum = 0; isum < 5; isum++)
3706 // printf("fSums[%d] = %f\n", isum, fSums[isum]);
3707 // printf("denominator = %f\n", denominator);
3708 fParams[0] = (fSums[2] * fSums[4] - fSums[1] * fSums[3])/ denominator;
3709 fParams[1] = (fSums[0] * fSums[3] - fSums[1] * fSums[2]) / denominator;
3710 // printf("fParams[0] = %f, fParams[1] = %f\n", fParams[0], fParams[1]);
3712 // Covariance matrix
3713 fCovarianceMatrix[0] = fSums[4] / fSums[0] - fSums[1] * fSums[1] / (fSums[0] * fSums[0]);
3714 fCovarianceMatrix[1] = fSums[5] / fSums[0] - fSums[2] * fSums[2] / (fSums[0] * fSums[0]);
3715 fCovarianceMatrix[2] = fSums[3] / fSums[0] - fSums[1] * fSums[2] / (fSums[0] * fSums[0]);
3718 //_____________________________________________________________________________
3719 Double_t AliTRDtrackerV1::AliTRDLeastSquare::GetFunctionValue(const Double_t *const xpos) const {
3721 // Returns the Function value of the fitted function at a given x-position
3723 return fParams[0] + fParams[1] * (*xpos);
3726 //_____________________________________________________________________________
3727 void AliTRDtrackerV1::AliTRDLeastSquare::GetCovarianceMatrix(Double_t *storage) const {
3729 // Copies the values of the covariance matrix into the storage
3731 memcpy(storage, fCovarianceMatrix, sizeof(Double_t) * 3);
3734 //_____________________________________________________________________________
3735 void AliTRDtrackerV1::AliTRDLeastSquare::Reset(){
3739 memset(fParams, 0, sizeof(Double_t) * 2);
3740 memset(fCovarianceMatrix, 0, sizeof(Double_t) * 3);
3741 memset(fSums, 0, sizeof(Double_t) * 6);
3744 ///////////////////////////////////////////////////////
3746 // Resources of class AliTRDtrackFitterRieman //
3748 ///////////////////////////////////////////////////////
3750 //_____________________________________________________________________________
3751 AliTRDtrackerV1::AliTRDtrackFitterRieman::AliTRDtrackFitterRieman():
3757 fSysClusterError(0.)
3760 // Default constructor
3762 fZfitter = new AliTRDLeastSquare;
3763 fCovarPolY = new TMatrixD(3,3);
3764 fCovarPolZ = new TMatrixD(2,2);
3765 memset(fTracklets, 0, sizeof(AliTRDseedV1 *) * 6);
3766 memset(fParameters, 0, sizeof(Double_t) * 5);
3767 memset(fSumPolY, 0, sizeof(Double_t) * 5);
3768 memset(fSumPolZ, 0, sizeof(Double_t) * 2);
3771 //_____________________________________________________________________________
3772 AliTRDtrackerV1::AliTRDtrackFitterRieman::~AliTRDtrackFitterRieman(){
3776 if(fZfitter) delete fZfitter;
3777 if(fCovarPolY) delete fCovarPolY;
3778 if(fCovarPolZ) delete fCovarPolZ;
3781 //_____________________________________________________________________________
3782 void AliTRDtrackerV1::AliTRDtrackFitterRieman::Reset(){
3787 fTrackFitter->StoreData(kTRUE);
3788 fTrackFitter->ClearPoints();
3794 memset(fTracklets, 0, sizeof(AliTRDseedV1 *) * AliTRDgeometry::kNlayer);
3795 memset(fParameters, 0, sizeof(Double_t) * 5);
3796 memset(fSumPolY, 0, sizeof(Double_t) * 5);
3797 memset(fSumPolZ, 0, sizeof(Double_t) * 2);
3798 for(Int_t irow = 0; irow < fCovarPolY->GetNrows(); irow++)
3799 for(Int_t icol = 0; icol < fCovarPolY->GetNcols(); icol++){
3800 (*fCovarPolY)(irow, icol) = 0.;
3801 if(irow < 2 && icol < 2)
3802 (*fCovarPolZ)(irow, icol) = 0.;
3806 //_____________________________________________________________________________
3807 void AliTRDtrackerV1::AliTRDtrackFitterRieman::SetTracklet(Int_t itr, AliTRDseedV1 *tracklet){
3809 // Add tracklet into the fitter
3811 if(itr >= AliTRDgeometry::kNlayer) return;
3812 fTracklets[itr] = tracklet;
3815 //_____________________________________________________________________________
3816 Double_t AliTRDtrackerV1::AliTRDtrackFitterRieman::Eval(){
3819 // 1. Apply linear transformation and store points in the fitter
3820 // 2. Evaluate the fit
3821 // 3. Check if the result of the fit in z-direction is reasonable
3823 // 3a. Fix the parameters 3 and 4 with the results of a simple least
3825 // 3b. Redo the fit with the fixed parameters
3826 // 4. Store fit results (parameters and errors)
3831 fXref = CalculateReferenceX();
3832 for(Int_t il = 0; il < AliTRDgeometry::kNlayer; il++) UpdateFitters(fTracklets[il]);
3833 if(!fTrackFitter->GetNpoints()) return 1e10;
3835 fTrackFitter->Eval();
3837 fParameters[3] = fTrackFitter->GetParameter(3);
3838 fParameters[4] = fTrackFitter->GetParameter(4);
3839 if(!CheckAcceptable(fParameters[3], fParameters[4])) {
3840 fTrackFitter->FixParameter(3, fZfitter->GetFunctionValue(&fXref));
3841 fTrackFitter->FixParameter(4, fZfitter->GetFunctionParameter(1));
3842 fTrackFitter->Eval();
3843 fTrackFitter->ReleaseParameter(3);
3844 fTrackFitter->ReleaseParameter(4);
3845 fParameters[3] = fTrackFitter->GetParameter(3);
3846 fParameters[4] = fTrackFitter->GetParameter(4);
3848 // Update the Fit Parameters and the errors
3849 fParameters[0] = fTrackFitter->GetParameter(0);
3850 fParameters[1] = fTrackFitter->GetParameter(1);
3851 fParameters[2] = fTrackFitter->GetParameter(2);
3853 // Prepare Covariance estimation
3854 (*fCovarPolY)(0,0) = fSumPolY[0]; (*fCovarPolY)(1,1) = fSumPolY[2]; (*fCovarPolY)(2,2) = fSumPolY[4];
3855 (*fCovarPolY)(1,0) = (*fCovarPolY)(0,1) = fSumPolY[1];
3856 (*fCovarPolY)(2,0) = (*fCovarPolY)(0,2) = fSumPolY[2];
3857 (*fCovarPolY)(2,1) = (*fCovarPolY)(1,2) = fSumPolY[3];
3858 fCovarPolY->Invert();
3859 (*fCovarPolZ)(0,0) = fSumPolZ[0]; (*fCovarPolZ)(1,1) = fSumPolZ[2];
3860 (*fCovarPolZ)(1,0) = (*fCovarPolZ)(0,1) = fSumPolZ[1];
3861 fCovarPolZ->Invert();
3862 return fTrackFitter->GetChisquare() / fTrackFitter->GetNpoints();
3865 //_____________________________________________________________________________
3866 void AliTRDtrackerV1::AliTRDtrackFitterRieman::UpdateFitters(AliTRDseedV1 * const tracklet){
3868 // Does the transformations and updates the fitters
3869 // The following transformation is applied
3871 AliTRDcluster *cl = NULL;
3872 Double_t x, y, z, dx, t, w, we, yerr, zerr;
3874 if(!tracklet || !tracklet->IsOK()) return;
3875 Double_t tilt = tracklet->GetTilt();
3876 for(Int_t itb = 0; itb < AliTRDseedV1::kNclusters; itb++){
3877 if(!(cl = tracklet->GetClusters(itb))) continue;
3878 if(!cl->IsInChamber()) continue;
3879 if (!tracklet->IsUsable(itb)) continue;
3886 uvt[0] = 2. * x * t;
3888 uvt[2] = 2. * tilt * t;
3889 uvt[3] = 2. * tilt * dx * t;
3890 w = 2. * (y + tilt*z) * t;
3891 // error definition changes for the different calls
3893 we *= TMath::Sqrt(cl->GetSigmaY2()+tilt*tilt*cl->GetSigmaZ2());
3894 // Update sums for error calculation
3895 yerr = 1./(TMath::Sqrt(cl->GetSigmaY2()) + fSysClusterError);
3897 zerr = 1./cl->GetSigmaZ2();
3898 for(Int_t ipol = 0; ipol < 5; ipol++){
3899 fSumPolY[ipol] += yerr;
3902 fSumPolZ[ipol] += zerr;
3906 fTrackFitter->AddPoint(uvt, w, we);
3907 fZfitter->AddPoint(&x, z, static_cast<Double_t>(TMath::Sqrt(cl->GetSigmaZ2())));
3911 //_____________________________________________________________________________
3912 Bool_t AliTRDtrackerV1::AliTRDtrackFitterRieman::CheckAcceptable(Double_t offset, Double_t slope){
3914 // Check whether z-results are acceptable
3915 // Definition: Distance between tracklet fit and track fit has to be
3916 // less then half a padlength
3917 // Point of comparision is at the anode wire
3919 Bool_t acceptablez = kTRUE;
3920 Double_t zref = 0.0;
3921 for (Int_t iLayer = 0; iLayer < kNPlanes; iLayer++) {
3922 if(!fTracklets[iLayer]->IsOK()) continue;
3923 zref = offset + slope * (fTracklets[iLayer]->GetX0() - fXref);
3924 if (TMath::Abs(fTracklets[iLayer]->GetZfit(0) - zref) > fTracklets[iLayer]->GetPadLength() * 0.5 + 1.0)
3925 acceptablez = kFALSE;
3930 //_____________________________________________________________________________
3931 Double_t AliTRDtrackerV1::AliTRDtrackFitterRieman::GetYat(Double_t x) const {
3933 // Calculate y position out of the track parameters
3934 // y: R^2 = (x - x0)^2 + (y - y0)^2
3935 // => y = y0 +/- Sqrt(R^2 - (x - x0)^2)
3936 // R = Sqrt() = 1/Curvature
3937 // => y = y0 +/- Sqrt(1/Curvature^2 - (x - x0)^2)
3940 Double_t disc = (x * fParameters[0] + fParameters[1]);
3941 disc = 1 - fParameters[0]*fParameters[2] + fParameters[1]*fParameters[1] - disc*disc;
3943 disc = TMath::Sqrt(disc);
3944 y = (1.0 - disc) / fParameters[0];
3949 //_____________________________________________________________________________
3950 Double_t AliTRDtrackerV1::AliTRDtrackFitterRieman::GetZat(Double_t x) const {
3952 // Return z position for a given x position
3953 // Simple linear function
3955 return fParameters[3] + fParameters[4] * (x - fXref);
3958 //_____________________________________________________________________________
3959 Double_t AliTRDtrackerV1::AliTRDtrackFitterRieman::GetDyDxAt(Double_t x) const {
3961 // Calculate dydx at a given radial position out of the track parameters
3962 // dy: R^2 = (x - x0)^2 + (y - y0)^2
3963 // => y = +/- Sqrt(R^2 - (x - x0)^2) + y0
3964 // => dy/dx = (x - x0)/Sqrt(R^2 - (x - x0)^2)
3965 // Curvature: cr = 1/R = a/Sqrt(1 + b^2 - c*a)
3966 // => dy/dx = (x - x0)/(1/(cr^2) - (x - x0)^2)
3968 Double_t x0 = -fParameters[1] / fParameters[0];
3969 Double_t curvature = GetCurvature();
3971 if (-fParameters[2] * fParameters[0] + fParameters[1] * fParameters[1] + 1 > 0) {
3972 if (1.0/(curvature * curvature) - (x - x0) * (x - x0) > 0.0) {
3973 Double_t yderiv = (x - x0) / TMath::Sqrt(1.0/(curvature * curvature) - (x - x0) * (x - x0));
3974 if (fParameters[0] < 0) yderiv *= -1.0;
3981 //_____________________________________________________________________________
3982 Double_t AliTRDtrackerV1::AliTRDtrackFitterRieman::GetCurvature() const {
3984 // Calculate track curvature
3987 Double_t curvature = 1.0 + fParameters[1]*fParameters[1] - fParameters[2]*fParameters[0];
3988 if (curvature > 0.0)
3989 curvature = fParameters[0] / TMath::Sqrt(curvature);
3993 //_____________________________________________________________________________
3994 void AliTRDtrackerV1::AliTRDtrackFitterRieman::GetCovAt(Double_t x, Double_t *cov) const {
3996 // Error Definition according to gauss error propagation
3998 TMatrixD transform(3,3);
3999 transform(0,0) = transform(1,1) = transform(2,2) = 1;
4000 transform(0,1) = transform(1,2) = x;
4001 transform(0,2) = x*x;
4002 TMatrixD covariance(transform, TMatrixD::kMult, *fCovarPolY);
4003 covariance *= transform.T();
4004 cov[0] = covariance(0,0);
4005 TMatrixD transformZ(2,2);
4006 transformZ(0,0) = transformZ(1,1) = 1;
4007 transformZ(0,1) = x;
4008 TMatrixD covarZ(transformZ, TMatrixD::kMult, *fCovarPolZ);
4009 covarZ *= transformZ.T();
4010 cov[1] = covarZ(0,0);
4014 //____________________________________________________________________
4015 Double_t AliTRDtrackerV1::AliTRDtrackFitterRieman::CalculateReferenceX(){
4017 // Calculates the reference x-position for the tilted Rieman fit defined as middle
4018 // of the stack (middle between layers 2 and 3). For the calculation all the tracklets
4019 // are taken into account
4021 // Parameters: - Array of tracklets(AliTRDseedV1)
4023 // Output: - The reference x-position(Float_t)
4025 Int_t nDistances = 0;
4026 Float_t meanDistance = 0.;
4027 Int_t startIndex = 5;
4028 for(Int_t il =5; il > 0; il--){
4029 if(fTracklets[il]->IsOK() && fTracklets[il -1]->IsOK()){
4030 Float_t xdiff = fTracklets[il]->GetX0() - fTracklets[il -1]->GetX0();
4031 meanDistance += xdiff;
4034 if(fTracklets[il]->IsOK()) startIndex = il;
4036 if(fTracklets[0]->IsOK()) startIndex = 0;
4038 // We should normally never get here
4039 Float_t xpos[2]; memset(xpos, 0, sizeof(Float_t) * 2);
4040 Int_t iok = 0, idiff = 0;
4041 // This attempt is worse and should be avoided:
4042 // check for two chambers which are OK and repeat this without taking the mean value
4043 // Strategy avoids a division by 0;
4044 for(Int_t il = 5; il >= 0; il--){
4045 if(fTracklets[il]->IsOK()){
4046 xpos[iok] = fTracklets[il]->GetX0();
4050 if(iok) idiff++; // to get the right difference;
4054 meanDistance = (xpos[0] - xpos[1])/idiff;
4057 // we have do not even have 2 layers which are OK? The we do not need to fit at all
4062 meanDistance /= nDistances;
4064 return fTracklets[startIndex]->GetX0() + (2.5 - startIndex) * meanDistance - 0.5 * (AliTRDgeometry::AmThick() + AliTRDgeometry::DrThick());