2 /**************************************************************************
3 * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
5 * Author: The ALICE Off-line Project. *
6 * Contributors are mentioned in the code where appropriate. *
8 * Permission to use, copy, modify and distribute this software and its *
9 * documentation strictly for non-commercial purposes is hereby granted *
10 * without fee, provided that the above copyright notice appears in all *
11 * copies and that both the copyright notice and this permission notice *
12 * appear in the supporting documentation. The authors make no claims *
13 * about the suitability of this software for any purpose. It is *
14 * provided "as is" without express or implied warranty. *
15 **************************************************************************/
19 ///////////////////////////////////////////////////////////////////////////////
24 // Alex Bercuci <A.Bercuci@gsi.de> //
25 // Markus Fasel <M.Fasel@gsi.de> //
27 ///////////////////////////////////////////////////////////////////////////////
29 // #include <Riostream.h>
31 // #include <string.h>
34 #include <TDirectory.h>
35 #include <TLinearFitter.h>
37 #include <TClonesArray.h>
38 #include <TTreeStream.h>
41 #include "AliESDEvent.h"
42 #include "AliGeomManager.h"
43 #include "AliRieman.h"
44 #include "AliTrackPointArray.h"
46 #include "AliTRDgeometry.h"
47 #include "AliTRDpadPlane.h"
48 #include "AliTRDcalibDB.h"
49 #include "AliTRDReconstructor.h"
50 #include "AliTRDCalibraFillHisto.h"
51 #include "AliTRDrecoParam.h"
53 #include "AliTRDcluster.h"
54 #include "AliTRDseedV1.h"
55 #include "AliTRDtrackV1.h"
56 #include "AliTRDtrackerV1.h"
57 #include "AliTRDtrackerDebug.h"
58 #include "AliTRDtrackingChamber.h"
59 #include "AliTRDchamberTimeBin.h"
63 ClassImp(AliTRDtrackerV1)
66 const Float_t AliTRDtrackerV1::fgkMinClustersInTrack = 0.5; //
67 const Float_t AliTRDtrackerV1::fgkLabelFraction = 0.8; //
68 const Double_t AliTRDtrackerV1::fgkMaxChi2 = 12.0; //
69 const Double_t AliTRDtrackerV1::fgkMaxSnp = 0.95; // Maximum local sine of the azimuthal angle
70 const Double_t AliTRDtrackerV1::fgkMaxStep = 2.0; // Maximal step size in propagation
71 Double_t AliTRDtrackerV1::fgTopologicQA[kNConfigs] = {
72 0.1112, 0.1112, 0.1112, 0.0786, 0.0786,
73 0.0786, 0.0786, 0.0579, 0.0579, 0.0474,
74 0.0474, 0.0408, 0.0335, 0.0335, 0.0335
76 Int_t AliTRDtrackerV1::fgNTimeBins = 0;
77 TTreeSRedirector *AliTRDtrackerV1::fgDebugStreamer = 0x0;
78 AliRieman* AliTRDtrackerV1::fgRieman = 0x0;
79 TLinearFitter* AliTRDtrackerV1::fgTiltedRieman = 0x0;
80 TLinearFitter* AliTRDtrackerV1::fgTiltedRiemanConstrained = 0x0;
82 //____________________________________________________________________
83 AliTRDtrackerV1::AliTRDtrackerV1(AliTRDReconstructor *rec)
86 ,fGeom(new AliTRDgeometry())
93 // Default constructor.
95 AliTRDcalibDB *trd = 0x0;
96 if (!(trd = AliTRDcalibDB::Instance())) {
97 AliFatal("Could not get calibration object");
100 if(!fgNTimeBins) fgNTimeBins = trd->GetNumberOfTimeBins();
102 for (Int_t isector = 0; isector < AliTRDgeometry::kNsector; isector++) new(&fTrSec[isector]) AliTRDtrackingSector(fGeom, isector);
104 for(Int_t isl =0; isl<kNSeedPlanes; isl++) fSeedTB[isl] = 0x0;
106 // Initialize debug stream
107 if(rec) SetReconstructor(rec);
110 //____________________________________________________________________
111 AliTRDtrackerV1::~AliTRDtrackerV1()
117 if(fgDebugStreamer) delete fgDebugStreamer;
118 if(fgRieman) delete fgRieman;
119 if(fgTiltedRieman) delete fgTiltedRieman;
120 if(fgTiltedRiemanConstrained) delete fgTiltedRiemanConstrained;
121 for(Int_t isl =0; isl<kNSeedPlanes; isl++) if(fSeedTB[isl]) delete fSeedTB[isl];
122 if(fTracks) {fTracks->Delete(); delete fTracks;}
123 if(fTracklets) {fTracklets->Delete(); delete fTracklets;}
125 fClusters->Delete(); delete fClusters;
127 if(fGeom) delete fGeom;
130 //____________________________________________________________________
131 Int_t AliTRDtrackerV1::Clusters2Tracks(AliESDEvent *esd)
134 // Steering stand alone tracking for full TRD detector
137 // esd : The ESD event. On output it contains
138 // the ESD tracks found in TRD.
141 // Number of tracks found in the TRD detector.
143 // Detailed description
144 // 1. Launch individual SM trackers.
145 // See AliTRDtrackerV1::Clusters2TracksSM() for details.
148 if(!fReconstructor->GetRecoParam() ){
149 AliError("Reconstruction configuration not initialized. Call first AliTRDReconstructor::SetRecoParam().");
153 //AliInfo("Start Track Finder ...");
155 for(int ism=0; ism<AliTRDgeometry::kNsector; ism++){
156 // for(int ism=1; ism<2; ism++){
157 //AliInfo(Form("Processing supermodule %i ...", ism));
158 ntracks += Clusters2TracksSM(ism, esd);
160 AliInfo(Form("Number of found tracks : %d", ntracks));
165 //_____________________________________________________________________________
166 Bool_t AliTRDtrackerV1::GetTrackPoint(Int_t index, AliTrackPoint &p) const
168 //AliInfo(Form("Asking for tracklet %d", index));
170 AliTRDseedV1 *tracklet = GetTracklet(index);
171 if (!tracklet) return kFALSE;
173 // get detector for this tracklet
174 AliTRDcluster *cl = 0x0;
175 Int_t ic = 0; do; while(!(cl = tracklet->GetClusters(ic++)));
176 Int_t idet = cl->GetDetector();
179 local[0] = tracklet->GetX0();
180 local[1] = tracklet->GetYfit(0);
181 local[2] = tracklet->GetZfit(0);
183 fGeom->RotateBack(idet, local, global);
184 p.SetXYZ(global[0],global[1],global[2]);
188 AliGeomManager::ELayerID iLayer = AliGeomManager::kTRD1;
189 switch (fGeom->GetLayer(idet)) {
191 iLayer = AliGeomManager::kTRD1;
194 iLayer = AliGeomManager::kTRD2;
197 iLayer = AliGeomManager::kTRD3;
200 iLayer = AliGeomManager::kTRD4;
203 iLayer = AliGeomManager::kTRD5;
206 iLayer = AliGeomManager::kTRD6;
209 Int_t modId = fGeom->GetSector(idet) * fGeom->Nstack() + fGeom->GetStack(idet);
210 UShort_t volid = AliGeomManager::LayerToVolUID(iLayer, modId);
211 p.SetVolumeID(volid);
216 //____________________________________________________________________
217 TLinearFitter* AliTRDtrackerV1::GetTiltedRiemanFitter()
219 if(!fgTiltedRieman) fgTiltedRieman = new TLinearFitter(4, "hyp4");
220 return fgTiltedRieman;
223 //____________________________________________________________________
224 TLinearFitter* AliTRDtrackerV1::GetTiltedRiemanFitterConstraint()
226 if(!fgTiltedRiemanConstrained) fgTiltedRiemanConstrained = new TLinearFitter(2, "hyp2");
227 return fgTiltedRiemanConstrained;
230 //____________________________________________________________________
231 AliRieman* AliTRDtrackerV1::GetRiemanFitter()
233 if(!fgRieman) fgRieman = new AliRieman(AliTRDtrackingChamber::kNTimeBins * AliTRDgeometry::kNlayer);
237 //_____________________________________________________________________________
238 Int_t AliTRDtrackerV1::PropagateBack(AliESDEvent *event)
241 // Gets seeds from ESD event. The seeds are AliTPCtrack's found and
242 // backpropagated by the TPC tracker. Each seed is first propagated
243 // to the TRD, and then its prolongation is searched in the TRD.
244 // If sufficiently long continuation of the track is found in the TRD
245 // the track is updated, otherwise it's stored as originaly defined
246 // by the TPC tracker.
249 // Calibration monitor
250 AliTRDCalibraFillHisto *calibra = AliTRDCalibraFillHisto::Instance();
251 if (!calibra) AliInfo("Could not get Calibra instance\n");
253 Int_t found = 0; // number of tracks found
254 Float_t foundMin = 20.0;
256 Float_t *quality = 0x0;
258 Int_t nSeed = event->GetNumberOfTracks();
260 quality = new Float_t[nSeed];
261 index = new Int_t[nSeed];
262 for (Int_t iSeed = 0; iSeed < nSeed; iSeed++) {
263 AliESDtrack *seed = event->GetTrack(iSeed);
264 Double_t covariance[15];
265 seed->GetExternalCovariance(covariance);
266 quality[iSeed] = covariance[0] + covariance[2];
268 // Sort tracks according to covariance of local Y and Z
269 TMath::Sort(nSeed,quality,index,kFALSE);
272 // Backpropagate all seeds
275 for (Int_t iSeed = 0; iSeed < nSeed; iSeed++) {
277 // Get the seeds in sorted sequence
278 AliESDtrack *seed = event->GetTrack(index[iSeed]);
280 // Check the seed status
281 ULong_t status = seed->GetStatus();
282 if ((status & AliESDtrack::kTPCout) == 0) continue;
283 if ((status & AliESDtrack::kTRDout) != 0) continue;
285 // Do the back prolongation
286 new(&track) AliTRDtrackV1(*seed);
288 //Int_t lbl = seed->GetLabel();
289 //track.SetSeedLabel(lbl);
291 // Make backup and mark entrance in the TRD
292 seed->UpdateTrackParams(&track, AliESDtrack::kTRDin);
293 seed->UpdateTrackParams(&track, AliESDtrack::kTRDbackup);
294 Float_t p4 = track.GetC();
295 expectedClr = FollowBackProlongation(track);
297 if (expectedClr<0) continue; // Back prolongation failed
301 // computes PID for track
303 // update calibration references using this track
304 if(calibra->GetHisto2d()) calibra->UpdateHistogramsV1(&track);
305 // save calibration object
306 if ((track.GetNumberOfClusters() > 15) && (track.GetNumberOfClusters() > 0.5*expectedClr)) {
307 seed->UpdateTrackParams(&track, AliESDtrack::kTRDout);
309 track.UpdateESDtrack(seed);
311 // Add TRD track to ESDfriendTrack
312 if (fReconstructor->GetStreamLevel(AliTRDReconstructor::kTracker) > 0 /*&& quality TODO*/){
313 AliTRDtrackV1 *calibTrack = new AliTRDtrackV1(track);
314 calibTrack->SetOwner();
315 seed->AddCalibObject(calibTrack);
320 if ((TMath::Abs(track.GetC() - p4) / TMath::Abs(p4) < 0.2) ||(track.Pt() > 0.8)) {
322 // Make backup for back propagation
324 Int_t foundClr = track.GetNumberOfClusters();
325 if (foundClr >= foundMin) {
326 //AliInfo(Form("Making backup track ncls [%d]...", foundClr));
328 //track.CookdEdxTimBin(seed->GetID());
329 track.CookLabel(1. - fgkLabelFraction);
330 if(track.GetBackupTrack()) UseClusters(track.GetBackupTrack());
332 // Sign only gold tracks
333 if (track.GetChi2() / track.GetNumberOfClusters() < 4) {
334 if ((seed->GetKinkIndex(0) == 0) && (track.Pt() < 1.5)){
335 //UseClusters(&track);
338 Bool_t isGold = kFALSE;
341 if (track.GetChi2() / track.GetNumberOfClusters() < 5) {
342 if (track.GetBackupTrack()) seed->UpdateTrackParams(track.GetBackupTrack(),AliESDtrack::kTRDbackup);
348 if ((!isGold) && (track.GetNCross() == 0) && (track.GetChi2() / track.GetNumberOfClusters() < 7)) {
349 //seed->UpdateTrackParams(track, AliESDtrack::kTRDbackup);
350 if (track.GetBackupTrack()) seed->UpdateTrackParams(track.GetBackupTrack(),AliESDtrack::kTRDbackup);
355 if ((!isGold) && (track.GetBackupTrack())) {
356 if ((track.GetBackupTrack()->GetNumberOfClusters() > foundMin) && ((track.GetBackupTrack()->GetChi2()/(track.GetBackupTrack()->GetNumberOfClusters()+1)) < 7)) {
357 seed->UpdateTrackParams(track.GetBackupTrack(),AliESDtrack::kTRDbackup);
362 //if ((track->StatusForTOF() > 0) && (track->GetNCross() == 0) && (Float_t(track->GetNumberOfClusters()) / Float_t(track->GetNExpected()) > 0.4)) {
363 //seed->UpdateTrackParams(track->GetBackupTrack(), AliESDtrack::kTRDbackup);
368 // Propagation to the TOF (I.Belikov)
369 if (track.IsStopped() == kFALSE) {
370 Double_t xtof = 371.0;
371 Double_t xTOF0 = 370.0;
373 Double_t c2 = track.GetSnp() + track.GetC() * (xtof - track.GetX());
374 if (TMath::Abs(c2) >= 0.99) continue;
376 if (!PropagateToX(track, xTOF0, fgkMaxStep)) continue;
378 // Energy losses taken to the account - check one more time
379 c2 = track.GetSnp() + track.GetC() * (xtof - track.GetX());
380 if (TMath::Abs(c2) >= 0.99) continue;
382 //if (!PropagateToX(*track,xTOF0,fgkMaxStep)) {
383 // fHBackfit->Fill(7);
388 Double_t ymax = xtof * TMath::Tan(0.5 * AliTRDgeometry::GetAlpha());
390 track.GetYAt(xtof,GetBz(),y);
392 if (!track.Rotate( AliTRDgeometry::GetAlpha())) continue;
393 }else if (y < -ymax) {
394 if (!track.Rotate(-AliTRDgeometry::GetAlpha())) continue;
397 if (track.PropagateTo(xtof)) {
398 seed->UpdateTrackParams(&track, AliESDtrack::kTRDout);
399 track.UpdateESDtrack(seed);
402 if ((track.GetNumberOfClusters() > 15) && (track.GetNumberOfClusters() > 0.5*expectedClr)) {
403 seed->UpdateTrackParams(&track, AliESDtrack::kTRDout);
405 track.UpdateESDtrack(seed);
409 seed->SetTRDQuality(track.StatusForTOF());
410 seed->SetTRDBudget(track.GetBudget(0));
412 if(index) delete [] index;
413 if(quality) delete [] quality;
416 AliInfo(Form("Number of seeds: %d", nSeed));
417 AliInfo(Form("Number of back propagated TRD tracks: %d", found));
419 // run stand alone tracking
420 if (fReconstructor->IsSeeding()) Clusters2Tracks(event);
426 //____________________________________________________________________
427 Int_t AliTRDtrackerV1::RefitInward(AliESDEvent *event)
430 // Refits tracks within the TRD. The ESD event is expected to contain seeds
431 // at the outer part of the TRD.
432 // The tracks are propagated to the innermost time bin
433 // of the TRD and the ESD event is updated
434 // Origin: Thomas KUHR (Thomas.Kuhr@cern.ch)
437 Int_t nseed = 0; // contor for loaded seeds
438 Int_t found = 0; // contor for updated TRD tracks
442 for (Int_t itrack = 0; itrack < event->GetNumberOfTracks(); itrack++) {
443 AliESDtrack *seed = event->GetTrack(itrack);
444 new(&track) AliTRDtrackV1(*seed);
446 if (track.GetX() < 270.0) {
447 seed->UpdateTrackParams(&track, AliESDtrack::kTRDbackup);
451 ULong_t status = seed->GetStatus();
452 // reject tracks which failed propagation in the TRD
453 if((status & AliESDtrack::kTRDout) == 0) continue;
455 // reject tracks which are produced by the TRD stand alone track finder.
456 if((status & AliESDtrack::kTRDin) == 0) continue;
459 track.ResetCovariance(50.0);
461 // do the propagation and processing
462 Bool_t kUPDATE = kFALSE;
463 Double_t xTPC = 250.0;
464 if(FollowProlongation(track)){
466 if (PropagateToX(track, xTPC, fgkMaxStep)) { // -with update
467 seed->UpdateTrackParams(&track, AliESDtrack::kTRDrefit);
473 // Prolongate to TPC without update
475 AliTRDtrackV1 tt(*seed);
476 if (PropagateToX(tt, xTPC, fgkMaxStep)) seed->UpdateTrackParams(&tt, AliESDtrack::kTRDrefit);
479 AliInfo(Form("Number of loaded seeds: %d",nseed));
480 AliInfo(Form("Number of found tracks from loaded seeds: %d",found));
485 //____________________________________________________________________
486 Int_t AliTRDtrackerV1::FollowProlongation(AliTRDtrackV1 &t)
488 // Extrapolates the TRD track in the TPC direction.
491 // t : the TRD track which has to be extrapolated
494 // number of clusters attached to the track
496 // Detailed description
498 // Starting from current radial position of track <t> this function
499 // extrapolates the track through the 6 TRD layers. The following steps
500 // are being performed for each plane:
502 // a. get plane limits in the local x direction
503 // b. check crossing sectors
504 // c. check track inclination
505 // 2. search tracklet in the tracker list (see GetTracklet() for details)
506 // 3. evaluate material budget using the geo manager
507 // 4. propagate and update track using the tracklet information.
512 Int_t nClustersExpected = 0;
513 Int_t lastplane = 5; //GetLastPlane(&t);
514 for (Int_t iplane = lastplane; iplane >= 0; iplane--) {
516 AliTRDseedV1 *tracklet = GetTracklet(&t, iplane, index);
517 if(!tracklet) continue;
518 if(!tracklet->IsOK()) AliWarning("tracklet not OK");
520 Double_t x = tracklet->GetX0();
521 // reject tracklets which are not considered for inward refit
522 if(x > t.GetX()+fgkMaxStep) continue;
524 // append tracklet to track
525 t.SetTracklet(tracklet, index);
527 if (x < (t.GetX()-fgkMaxStep) && !PropagateToX(t, x+fgkMaxStep, fgkMaxStep)) break;
528 if (!AdjustSector(&t)) break;
530 // Start global position
534 // End global position
535 Double_t alpha = t.GetAlpha(), y, z;
536 if (!t.GetProlongation(x,y,z)) break;
538 xyz1[0] = x * TMath::Cos(alpha) - y * TMath::Sin(alpha);
539 xyz1[1] = x * TMath::Sin(alpha) + y * TMath::Cos(alpha);
542 // Get material budget
544 AliTracker::MeanMaterialBudget(xyz0, xyz1, param);
545 Double_t xrho= param[0]*param[4];
546 Double_t xx0 = param[1]; // Get mean propagation parameters
548 // Propagate and update
549 t.PropagateTo(x, xx0, xrho);
550 if (!AdjustSector(&t)) break;
552 Double_t maxChi2 = t.GetPredictedChi2(tracklet);
553 if (maxChi2 < 1e+10 && t.Update(tracklet, maxChi2)){
554 nClustersExpected += tracklet->GetN();
558 if(fReconstructor->GetStreamLevel(AliTRDReconstructor::kTracker) > 1){
560 for(int iplane=0; iplane<6; iplane++){
561 AliTRDseedV1 *tracklet = GetTracklet(&t, iplane, index);
562 if(!tracklet) continue;
563 t.SetTracklet(tracklet, index);
566 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
567 TTreeSRedirector &cstreamer = *fgDebugStreamer;
568 cstreamer << "FollowProlongation"
569 << "EventNumber=" << eventNumber
570 << "ncl=" << nClustersExpected
575 return nClustersExpected;
579 //_____________________________________________________________________________
580 Int_t AliTRDtrackerV1::FollowBackProlongation(AliTRDtrackV1 &t)
582 // Extrapolates the TRD track in the TOF direction.
585 // t : the TRD track which has to be extrapolated
588 // number of clusters attached to the track
590 // Detailed description
592 // Starting from current radial position of track <t> this function
593 // extrapolates the track through the 6 TRD layers. The following steps
594 // are being performed for each plane:
596 // a. get plane limits in the local x direction
597 // b. check crossing sectors
598 // c. check track inclination
599 // 2. build tracklet (see AliTRDseed::AttachClusters() for details)
600 // 3. evaluate material budget using the geo manager
601 // 4. propagate and update track using the tracklet information.
606 Int_t nClustersExpected = 0;
607 Double_t clength = AliTRDgeometry::AmThick() + AliTRDgeometry::DrThick();
608 AliTRDtrackingChamber *chamber = 0x0;
610 AliTRDseedV1 tracklet, *ptrTracklet = 0x0;
611 // in case of stand alone tracking we store all the pointers to the tracklets in a temporary array
612 AliTRDseedV1 *tracklets[kNPlanes];
613 memset(tracklets, 0, sizeof(AliTRDseedV1 *) * kNPlanes);
614 for(Int_t ip = 0; ip < kNPlanes; ip++){
615 tracklets[ip] = t.GetTracklet(ip);
619 // Loop through the TRD layers
620 for (Int_t ilayer = 0; ilayer < AliTRDgeometry::Nlayer(); ilayer++) {
621 // BUILD TRACKLET IF NOT ALREADY BUILT
622 Double_t x = 0., y, z, alpha;
623 ptrTracklet = tracklets[ilayer];
625 ptrTracklet = new(&tracklet) AliTRDseedV1(ilayer);
626 ptrTracklet->SetReconstructor(fReconstructor);
627 alpha = t.GetAlpha();
628 Int_t sector = Int_t(alpha/AliTRDgeometry::GetAlpha() + (alpha>0. ? 0 : AliTRDgeometry::kNsector));
630 if(!fTrSec[sector].GetNChambers()) continue;
632 if((x = fTrSec[sector].GetX(ilayer)) < 1.) continue;
634 if (!t.GetProlongation(x, y, z)) return -nClustersExpected;
635 Int_t stack = fGeom->GetStack(z, ilayer);
636 Int_t nCandidates = stack >= 0 ? 1 : 2;
637 z -= stack >= 0 ? 0. : 4.;
639 for(int icham=0; icham<nCandidates; icham++, z+=8){
640 if((stack = fGeom->GetStack(z, ilayer)) < 0) continue;
642 if(!(chamber = fTrSec[sector].GetChamber(stack, ilayer))) continue;
644 if(chamber->GetNClusters() < fgNTimeBins*fReconstructor->GetRecoParam() ->GetFindableClusters()) continue;
648 AliTRDpadPlane *pp = fGeom->GetPadPlane(ilayer, stack);
649 tracklet.SetTilt(TMath::Tan(TMath::DegToRad()*pp->GetTiltingAngle()));
650 tracklet.SetPadLength(pp->GetLengthIPad());
651 tracklet.SetPlane(ilayer);
653 if(!tracklet.Init(&t)){
655 return nClustersExpected;
657 if(!tracklet.AttachClustersIter(chamber, 1000.)) continue;
660 if(tracklet.GetN() < fgNTimeBins*fReconstructor->GetRecoParam() ->GetFindableClusters()) continue;
664 //ptrTracklet->UseClusters();
666 if(!ptrTracklet->IsOK()){
667 if(x < 1.) continue; //temporary
668 if(!PropagateToX(t, x-fgkMaxStep, fgkMaxStep)) return -nClustersExpected;
669 if(!AdjustSector(&t)) return -nClustersExpected;
670 if(TMath::Abs(t.GetSnp()) > fgkMaxSnp) return -nClustersExpected;
674 // Propagate closer to the current chamber if neccessary
676 if (x > (fgkMaxStep + t.GetX()) && !PropagateToX(t, x-fgkMaxStep, fgkMaxStep)) return -nClustersExpected;
677 if (!AdjustSector(&t)) return -nClustersExpected;
678 if (TMath::Abs(t.GetSnp()) > fgkMaxSnp) return -nClustersExpected;
680 // load tracklet to the tracker and the track
681 ptrTracklet = SetTracklet(ptrTracklet);
682 t.SetTracklet(ptrTracklet, fTracklets->GetEntriesFast()-1);
685 // Calculate the mean material budget along the path inside the chamber
686 //Calculate global entry and exit positions of the track in chamber (only track prolongation)
687 Double_t xyz0[3]; // entry point
689 alpha = t.GetAlpha();
690 x = ptrTracklet->GetX0();
691 if (!t.GetProlongation(x, y, z)) return -nClustersExpected;
692 Double_t xyz1[3]; // exit point
693 xyz1[0] = x * TMath::Cos(alpha) - y * TMath::Sin(alpha);
694 xyz1[1] = +x * TMath::Sin(alpha) + y * TMath::Cos(alpha);
697 AliTracker::MeanMaterialBudget(xyz0, xyz1, param);
698 // The mean propagation parameters
699 Double_t xrho = param[0]*param[4]; // density*length
700 Double_t xx0 = param[1]; // radiation length
702 // Propagate and update track
703 if (!t.PropagateTo(x, xx0, xrho)) return -nClustersExpected;
704 if (!AdjustSector(&t)) return -nClustersExpected;
705 Double_t maxChi2 = t.GetPredictedChi2(ptrTracklet);
706 if (!t.Update(ptrTracklet, maxChi2)) return -nClustersExpected;
708 nClustersExpected += ptrTracklet->GetN();
709 //t.SetTracklet(&tracklet, index);
711 // Reset material budget if 2 consecutive gold
712 if(ilayer>0 && t.GetTracklet(ilayer-1) && ptrTracklet->GetN() + t.GetTracklet(ilayer-1)->GetN() > 20) t.SetBudget(2, 0.);
714 // Make backup of the track until is gold
715 // TO DO update quality check of the track.
716 // consider comparison with fTimeBinsRange
717 Float_t ratio0 = ptrTracklet->GetN() / Float_t(fgNTimeBins);
718 //Float_t ratio1 = Float_t(t.GetNumberOfClusters()+1) / Float_t(t.GetNExpected()+1);
719 //printf("tracklet.GetChi2() %f [< 18.0]\n", tracklet.GetChi2());
720 //printf("ratio0 %f [> 0.8]\n", ratio0);
721 //printf("ratio1 %f [> 0.6]\n", ratio1);
722 //printf("ratio0+ratio1 %f [> 1.5]\n", ratio0+ratio1);
723 //printf("t.GetNCross() %d [== 0]\n", t.GetNCross());
724 //printf("TMath::Abs(t.GetSnp()) %f [< 0.85]\n", TMath::Abs(t.GetSnp()));
725 //printf("t.GetNumberOfClusters() %d [> 20]\n", t.GetNumberOfClusters());
727 if (//(tracklet.GetChi2() < 18.0) && TO DO check with FindClusters and move it to AliTRDseed::Update
730 //(ratio0+ratio1 > 1.5) &&
731 (t.GetNCross() == 0) &&
732 (TMath::Abs(t.GetSnp()) < 0.85) &&
733 (t.GetNumberOfClusters() > 20)) t.MakeBackupTrack();
737 if(fReconstructor->GetStreamLevel(AliTRDReconstructor::kTracker) > 1){
738 TTreeSRedirector &cstreamer = *fgDebugStreamer;
739 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
740 //AliTRDtrackV1 *debugTrack = new AliTRDtrackV1(t);
741 //debugTrack->SetOwner();
742 cstreamer << "FollowBackProlongation"
743 << "EventNumber=" << eventNumber
744 << "ncl=" << nClustersExpected
745 //<< "track.=" << debugTrack
749 return nClustersExpected;
752 //_________________________________________________________________________
753 Float_t AliTRDtrackerV1::FitRieman(AliTRDseedV1 *tracklets, Double_t *chi2, Int_t *planes){
755 // Fits a Riemann-circle to the given points without tilting pad correction.
756 // The fit is performed using an instance of the class AliRieman (equations
757 // and transformations see documentation of this class)
758 // Afterwards all the tracklets are Updated
760 // Parameters: - Array of tracklets (AliTRDseedV1)
761 // - Storage for the chi2 values (beginning with direction z)
762 // - Seeding configuration
763 // Output: - The curvature
765 AliRieman *fitter = AliTRDtrackerV1::GetRiemanFitter();
767 Int_t allplanes[] = {0, 1, 2, 3, 4, 5};
768 Int_t *ppl = &allplanes[0];
774 for(Int_t il = 0; il < maxLayers; il++){
775 if(!tracklets[ppl[il]].IsOK()) continue;
776 fitter->AddPoint(tracklets[ppl[il]].GetX0(), tracklets[ppl[il]].GetYfitR(0), tracklets[ppl[il]].GetZProb(),1,10);
779 // Set the reference position of the fit and calculate the chi2 values
780 memset(chi2, 0, sizeof(Double_t) * 2);
781 for(Int_t il = 0; il < maxLayers; il++){
782 // Reference positions
783 tracklets[ppl[il]].Init(fitter);
786 if((!tracklets[ppl[il]].IsOK()) && (!planes)) continue;
787 chi2[0] += tracklets[ppl[il]].GetChi2Y();
788 chi2[1] += tracklets[ppl[il]].GetChi2Z();
790 return fitter->GetC();
793 //_________________________________________________________________________
794 void AliTRDtrackerV1::FitRieman(AliTRDcluster **seedcl, Double_t chi2[2])
797 // Performs a Riemann helix fit using the seedclusters as spacepoints
798 // Afterwards the chi2 values are calculated and the seeds are updated
800 // Parameters: - The four seedclusters
801 // - The tracklet array (AliTRDseedV1)
802 // - The seeding configuration
807 AliRieman *fitter = AliTRDtrackerV1::GetRiemanFitter();
809 for(Int_t i = 0; i < 4; i++)
810 fitter->AddPoint(seedcl[i]->GetX(), seedcl[i]->GetY(), seedcl[i]->GetZ(), 1, 10);
814 // Update the seed and calculated the chi2 value
815 chi2[0] = 0; chi2[1] = 0;
816 for(Int_t ipl = 0; ipl < kNSeedPlanes; ipl++){
818 chi2[0] += (seedcl[ipl]->GetZ() - fitter->GetZat(seedcl[ipl]->GetX())) * (seedcl[ipl]->GetZ() - fitter->GetZat(seedcl[ipl]->GetX()));
819 chi2[1] += (seedcl[ipl]->GetY() - fitter->GetYat(seedcl[ipl]->GetX())) * (seedcl[ipl]->GetY() - fitter->GetYat(seedcl[ipl]->GetX()));
824 //_________________________________________________________________________
825 Float_t AliTRDtrackerV1::FitTiltedRiemanConstraint(AliTRDseedV1 *tracklets, Double_t zVertex)
828 // Fits a helix to the clusters. Pad tilting is considered. As constraint it is
829 // assumed that the vertex position is set to 0.
830 // This method is very usefull for high-pt particles
831 // Basis for the fit: (x - x0)^2 + (y - y0)^2 - R^2 = 0
832 // x0, y0: Center of the circle
833 // Measured y-position: ymeas = y - tan(phiT)(zc - zt)
834 // zc: center of the pad row
835 // Equation which has to be fitted (after transformation):
836 // a + b * u + e * v + 2*(ymeas + tan(phiT)(z - zVertex))*t = 0
840 // v = 2 * x * tan(phiT) * t
841 // Parameters in the equation:
842 // a = -1/y0, b = x0/y0, e = dz/dx
844 // The Curvature is calculated by the following equation:
845 // - curv = a/Sqrt(b^2 + 1) = 1/R
846 // Parameters: - the 6 tracklets
847 // - the Vertex constraint
848 // Output: - the Chi2 value of the track
853 TLinearFitter *fitter = GetTiltedRiemanFitterConstraint();
854 fitter->StoreData(kTRUE);
855 fitter->ClearPoints();
856 AliTRDcluster *cl = 0x0;
858 Float_t x, y, z, w, t, error, tilt;
861 for(Int_t ilr = 0; ilr < AliTRDgeometry::kNlayer; ilr++){
862 if(!tracklets[ilr].IsOK()) continue;
863 for(Int_t itb = 0; itb < fgNTimeBins; itb++){
864 if(!tracklets[ilr].IsUsable(itb)) continue;
865 cl = tracklets[ilr].GetClusters(itb);
869 tilt = tracklets[ilr].GetTilt();
871 t = 1./(x * x + y * y);
873 uvt[1] = 2. * x * t * tilt ;
874 w = 2. * (y + tilt * (z - zVertex)) * t;
875 error = 2. * 0.2 * t;
876 fitter->AddPoint(uvt, w, error);
882 // Calculate curvature
883 Double_t a = fitter->GetParameter(0);
884 Double_t b = fitter->GetParameter(1);
885 Double_t curvature = a/TMath::Sqrt(b*b + 1);
887 Float_t chi2track = fitter->GetChisquare()/Double_t(nPoints);
888 for(Int_t ip = 0; ip < AliTRDtrackerV1::kNPlanes; ip++)
889 tracklets[ip].SetCC(curvature);
891 /* if(fReconstructor->GetStreamLevel() >= 5){
892 //Linear Model on z-direction
893 Double_t xref = CalculateReferenceX(tracklets); // Relative to the middle of the stack
894 Double_t slope = fitter->GetParameter(2);
895 Double_t zref = slope * xref;
896 Float_t chi2Z = CalculateChi2Z(tracklets, zref, slope, xref);
897 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
898 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
899 TTreeSRedirector &treeStreamer = *fgDebugStreamer;
900 treeStreamer << "FitTiltedRiemanConstraint"
901 << "EventNumber=" << eventNumber
902 << "CandidateNumber=" << candidateNumber
903 << "Curvature=" << curvature
904 << "Chi2Track=" << chi2track
912 //_________________________________________________________________________
913 Float_t AliTRDtrackerV1::FitTiltedRieman(AliTRDseedV1 *tracklets, Bool_t sigError)
916 // Performs a Riemann fit taking tilting pad correction into account
917 // The equation of a Riemann circle, where the y position is substituted by the
918 // measured y-position taking pad tilting into account, has to be transformed
919 // into a 4-dimensional hyperplane equation
920 // Riemann circle: (x-x0)^2 + (y-y0)^2 -R^2 = 0
921 // Measured y-Position: ymeas = y - tan(phiT)(zc - zt)
922 // zc: center of the pad row
923 // zt: z-position of the track
924 // The z-position of the track is assumed to be linear dependent on the x-position
925 // Transformed equation: a + b * u + c * t + d * v + e * w - 2 * (ymeas + tan(phiT) * zc) * t = 0
926 // Transformation: u = 2 * x * t
927 // v = 2 * tan(phiT) * t
928 // w = 2 * tan(phiT) * (x - xref) * t
929 // t = 1 / (x^2 + ymeas^2)
930 // Parameters: a = -1/y0
932 // c = (R^2 -x0^2 - y0^2)/y0
935 // If the offset respectively the slope in z-position is impossible, the parameters are fixed using
936 // results from the simple riemann fit. Afterwards the fit is redone.
937 // The curvature is calculated according to the formula:
938 // curv = a/(1 + b^2 + c*a) = 1/R
940 // Paramters: - Array of tracklets (connected to the track candidate)
941 // - Flag selecting the error definition
942 // Output: - Chi2 values of the track (in Parameter list)
944 TLinearFitter *fitter = GetTiltedRiemanFitter();
945 fitter->StoreData(kTRUE);
946 fitter->ClearPoints();
947 AliTRDLeastSquare zfitter;
948 AliTRDcluster *cl = 0x0;
950 Double_t xref = CalculateReferenceX(tracklets);
951 Double_t x, y, z, t, tilt, dx, w, we;
954 // Containers for Least-square fitter
955 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
956 if(!tracklets[ipl].IsOK()) continue;
957 for(Int_t itb = 0; itb < fgNTimeBins; itb++){
958 if(!(cl = tracklets[ipl].GetClusters(itb))) continue;
959 if (!tracklets[ipl].IsUsable(itb)) continue;
963 tilt = tracklets[ipl].GetTilt();
969 uvt[2] = 2. * tilt * t;
970 uvt[3] = 2. * tilt * dx * t;
971 w = 2. * (y + tilt*z) * t;
972 // error definition changes for the different calls
974 we *= sigError ? tracklets[ipl].GetSigmaY() : 0.2;
975 fitter->AddPoint(uvt, w, we);
976 zfitter.AddPoint(&x, z, static_cast<Double_t>(TMath::Sqrt(cl->GetSigmaZ2())));
983 Double_t offset = fitter->GetParameter(3);
984 Double_t slope = fitter->GetParameter(4);
986 // Linear fitter - not possible to make boundaries
987 // Do not accept non possible z and dzdx combinations
988 Bool_t acceptablez = kTRUE;
990 for (Int_t iLayer = 0; iLayer < kNPlanes; iLayer++) {
991 if(!tracklets[iLayer].IsOK()) continue;
992 zref = offset + slope * (tracklets[iLayer].GetX0() - xref);
993 if (TMath::Abs(tracklets[iLayer].GetZProb() - zref) > tracklets[iLayer].GetPadLength() * 0.5 + 1.0)
994 acceptablez = kFALSE;
997 Double_t dzmf = zfitter.GetFunctionParameter(1);
998 Double_t zmf = zfitter.GetFunctionValue(&xref);
999 fgTiltedRieman->FixParameter(3, zmf);
1000 fgTiltedRieman->FixParameter(4, dzmf);
1002 fitter->ReleaseParameter(3);
1003 fitter->ReleaseParameter(4);
1004 offset = fitter->GetParameter(3);
1005 slope = fitter->GetParameter(4);
1008 // Calculate Curvarture
1009 Double_t a = fitter->GetParameter(0);
1010 Double_t b = fitter->GetParameter(1);
1011 Double_t c = fitter->GetParameter(2);
1012 Double_t curvature = 1.0 + b*b - c*a;
1013 if (curvature > 0.0)
1014 curvature = a / TMath::Sqrt(curvature);
1016 Double_t chi2track = fitter->GetChisquare()/Double_t(nPoints);
1018 // Update the tracklets
1020 for(Int_t iLayer = 0; iLayer < AliTRDtrackerV1::kNPlanes; iLayer++) {
1022 x = tracklets[iLayer].GetX0();
1028 // y: R^2 = (x - x0)^2 + (y - y0)^2
1029 // => y = y0 +/- Sqrt(R^2 - (x - x0)^2)
1030 // R = Sqrt() = 1/Curvature
1031 // => y = y0 +/- Sqrt(1/Curvature^2 - (x - x0)^2)
1032 Double_t res = (x * a + b); // = (x - x0)/y0
1034 res = 1.0 - c * a + b * b - res; // = (R^2 - (x - x0)^2)/y0^2
1036 res = TMath::Sqrt(res);
1037 y = (1.0 - res) / a;
1040 // dy: R^2 = (x - x0)^2 + (y - y0)^2
1041 // => y = +/- Sqrt(R^2 - (x - x0)^2) + y0
1042 // => dy/dx = (x - x0)/Sqrt(R^2 - (x - x0)^2)
1043 // Curvature: cr = 1/R = a/Sqrt(1 + b^2 - c*a)
1044 // => dy/dx = (x - x0)/(1/(cr^2) - (x - x0)^2)
1045 Double_t x0 = -b / a;
1046 if (-c * a + b * b + 1 > 0) {
1047 if (1.0/(curvature * curvature) - (x - x0) * (x - x0) > 0.0) {
1048 Double_t yderiv = (x - x0) / TMath::Sqrt(1.0/(curvature * curvature) - (x - x0) * (x - x0));
1049 if (a < 0) yderiv *= -1.0;
1053 z = offset + slope * (x - xref);
1055 tracklets[iLayer].SetYref(0, y);
1056 tracklets[iLayer].SetYref(1, dy);
1057 tracklets[iLayer].SetZref(0, z);
1058 tracklets[iLayer].SetZref(1, dz);
1059 tracklets[iLayer].SetC(curvature);
1060 tracklets[iLayer].SetChi2(chi2track);
1063 /* if(fReconstructor->GetStreamLevel() >=5){
1064 TTreeSRedirector &cstreamer = *fgDebugStreamer;
1065 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
1066 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
1067 Double_t chi2z = CalculateChi2Z(tracklets, offset, slope, xref);
1068 cstreamer << "FitTiltedRieman0"
1069 << "EventNumber=" << eventNumber
1070 << "CandidateNumber=" << candidateNumber
1072 << "Chi2Z=" << chi2z
1079 //____________________________________________________________________
1080 Double_t AliTRDtrackerV1::FitLine(AliTRDtrackV1 *track, AliTRDseedV1 *tracklets, Bool_t err, Int_t np, AliTrackPoint *points)
1082 AliTRDLeastSquare yfitter, zfitter;
1083 AliTRDcluster *cl = 0x0;
1085 AliTRDseedV1 work[kNPlanes], *tracklet = 0x0;
1087 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
1088 if(!(tracklet = track->GetTracklet(ipl))) continue;
1089 if(!tracklet->IsOK()) continue;
1090 new(&work[ipl]) AliTRDseedV1(*tracklet);
1092 tracklets = &work[0];
1095 Double_t xref = CalculateReferenceX(tracklets);
1096 Double_t x, y, z, dx, ye, yr, tilt;
1097 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
1098 if(!tracklets[ipl].IsOK()) continue;
1099 for(Int_t itb = 0; itb < fgNTimeBins; itb++){
1100 if(!(cl = tracklets[ipl].GetClusters(itb))) continue;
1101 if (!tracklets[ipl].IsUsable(itb)) continue;
1105 zfitter.AddPoint(&dx, z, static_cast<Double_t>(TMath::Sqrt(cl->GetSigmaZ2())));
1109 Double_t z0 = zfitter.GetFunctionParameter(0);
1110 Double_t dzdx = zfitter.GetFunctionParameter(1);
1111 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
1112 if(!tracklets[ipl].IsOK()) continue;
1113 for(Int_t itb = 0; itb < fgNTimeBins; itb++){
1114 if(!(cl = tracklets[ipl].GetClusters(itb))) continue;
1115 if (!tracklets[ipl].IsUsable(itb)) continue;
1119 tilt = tracklets[ipl].GetTilt();
1121 yr = y + tilt*(z - z0 - dzdx*dx);
1122 // error definition changes for the different calls
1123 ye = tilt*TMath::Sqrt(cl->GetSigmaZ2());
1124 ye += err ? tracklets[ipl].GetSigmaY() : 0.2;
1125 yfitter.AddPoint(&dx, yr, ye);
1129 Double_t y0 = yfitter.GetFunctionParameter(0);
1130 Double_t dydx = yfitter.GetFunctionParameter(1);
1131 Double_t chi2 = 0.;//yfitter.GetChisquare()/Double_t(nPoints);
1133 //update track points array
1136 for(int ip=0; ip<np; ip++){
1137 points[ip].GetXYZ(xyz);
1138 xyz[1] = y0 + dydx * (xyz[0] - xref);
1139 xyz[2] = z0 + dzdx * (xyz[0] - xref);
1140 points[ip].SetXYZ(xyz);
1147 //_________________________________________________________________________
1148 Double_t AliTRDtrackerV1::FitRiemanTilt(AliTRDtrackV1 *track, AliTRDseedV1 *tracklets, Bool_t sigError, Int_t np, AliTrackPoint *points)
1151 // Performs a Riemann fit taking tilting pad correction into account
1152 // The equation of a Riemann circle, where the y position is substituted by the
1153 // measured y-position taking pad tilting into account, has to be transformed
1154 // into a 4-dimensional hyperplane equation
1155 // Riemann circle: (x-x0)^2 + (y-y0)^2 -R^2 = 0
1156 // Measured y-Position: ymeas = y - tan(phiT)(zc - zt)
1157 // zc: center of the pad row
1158 // zt: z-position of the track
1159 // The z-position of the track is assumed to be linear dependent on the x-position
1160 // Transformed equation: a + b * u + c * t + d * v + e * w - 2 * (ymeas + tan(phiT) * zc) * t = 0
1161 // Transformation: u = 2 * x * t
1162 // v = 2 * tan(phiT) * t
1163 // w = 2 * tan(phiT) * (x - xref) * t
1164 // t = 1 / (x^2 + ymeas^2)
1165 // Parameters: a = -1/y0
1167 // c = (R^2 -x0^2 - y0^2)/y0
1170 // If the offset respectively the slope in z-position is impossible, the parameters are fixed using
1171 // results from the simple riemann fit. Afterwards the fit is redone.
1172 // The curvature is calculated according to the formula:
1173 // curv = a/(1 + b^2 + c*a) = 1/R
1175 // Paramters: - Array of tracklets (connected to the track candidate)
1176 // - Flag selecting the error definition
1177 // Output: - Chi2 values of the track (in Parameter list)
1179 TLinearFitter *fitter = GetTiltedRiemanFitter();
1180 fitter->StoreData(kTRUE);
1181 fitter->ClearPoints();
1182 AliTRDLeastSquare zfitter;
1183 AliTRDcluster *cl = 0x0;
1185 AliTRDseedV1 work[kNPlanes], *tracklet = 0x0;
1187 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
1188 if(!(tracklet = track->GetTracklet(ipl))) continue;
1189 if(!tracklet->IsOK()) continue;
1190 new(&work[ipl]) AliTRDseedV1(*tracklet);
1192 tracklets = &work[0];
1195 Double_t xref = CalculateReferenceX(tracklets);
1196 Double_t x, y, z, t, tilt, dx, w, we;
1199 // Containers for Least-square fitter
1200 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
1201 if(!tracklets[ipl].IsOK()) continue;
1202 for(Int_t itb = 0; itb < fgNTimeBins; itb++){
1203 if(!(cl = tracklets[ipl].GetClusters(itb))) continue;
1204 if (!tracklets[ipl].IsUsable(itb)) continue;
1208 tilt = tracklets[ipl].GetTilt();
1212 uvt[0] = 2. * x * t;
1214 uvt[2] = 2. * tilt * t;
1215 uvt[3] = 2. * tilt * dx * t;
1216 w = 2. * (y + tilt*z) * t;
1217 // error definition changes for the different calls
1219 we *= sigError ? tracklets[ipl].GetSigmaY() : 0.2;
1220 fitter->AddPoint(uvt, w, we);
1221 zfitter.AddPoint(&x, z, static_cast<Double_t>(TMath::Sqrt(cl->GetSigmaZ2())));
1225 if(fitter->Eval()) return 1.E10;
1227 Double_t z0 = fitter->GetParameter(3);
1228 Double_t dzdx = fitter->GetParameter(4);
1231 // Linear fitter - not possible to make boundaries
1232 // Do not accept non possible z and dzdx combinations
1233 Bool_t accept = kTRUE;
1234 Double_t zref = 0.0;
1235 for (Int_t iLayer = 0; iLayer < kNPlanes; iLayer++) {
1236 if(!tracklets[iLayer].IsOK()) continue;
1237 zref = z0 + dzdx * (tracklets[iLayer].GetX0() - xref);
1238 if (TMath::Abs(tracklets[iLayer].GetZProb() - zref) > tracklets[iLayer].GetPadLength() * 0.5 + 1.0)
1243 Double_t dzmf = zfitter.GetFunctionParameter(1);
1244 Double_t zmf = zfitter.GetFunctionValue(&xref);
1245 fitter->FixParameter(3, zmf);
1246 fitter->FixParameter(4, dzmf);
1248 fitter->ReleaseParameter(3);
1249 fitter->ReleaseParameter(4);
1250 z0 = fitter->GetParameter(3); // = zmf ?
1251 dzdx = fitter->GetParameter(4); // = dzmf ?
1254 // Calculate Curvature
1255 Double_t a = fitter->GetParameter(0);
1256 Double_t b = fitter->GetParameter(1);
1257 Double_t c = fitter->GetParameter(2);
1258 Double_t y0 = 1. / a;
1259 Double_t x0 = -b * y0;
1260 Double_t R = TMath::Sqrt(y0*y0 + x0*x0 - c*y0);
1261 Double_t C = 1.0 + b*b - c*a;
1262 if (C > 0.0) C = a / TMath::Sqrt(C);
1264 // Calculate chi2 of the fit
1265 Double_t chi2 = fitter->GetChisquare()/Double_t(nPoints);
1267 // Update the tracklets
1269 for(Int_t ip = 0; ip < kNPlanes; ip++) {
1270 x = tracklets[ip].GetX0();
1271 Double_t tmp = TMath::Sqrt(R*R-(x-x0)*(x-x0));
1273 // y: R^2 = (x - x0)^2 + (y - y0)^2
1274 // => y = y0 +/- Sqrt(R^2 - (x - x0)^2)
1275 tracklets[ip].SetYref(0, y0 - (y0>0.?1.:-1)*tmp);
1276 // => dy/dx = (x - x0)/Sqrt(R^2 - (x - x0)^2)
1277 tracklets[ip].SetYref(1, (x - x0) / tmp);
1278 tracklets[ip].SetZref(0, z0 + dzdx * (x - xref));
1279 tracklets[ip].SetZref(1, dzdx);
1280 tracklets[ip].SetC(C);
1281 tracklets[ip].SetChi2(chi2);
1285 //update track points array
1288 for(int ip=0; ip<np; ip++){
1289 points[ip].GetXYZ(xyz);
1290 xyz[1] = y0 - (y0>0.?1.:-1)*TMath::Sqrt(R*R-(xyz[0]-x0)*(xyz[0]-x0));
1291 xyz[2] = z0 + dzdx * (xyz[0] - xref);
1292 points[ip].SetXYZ(xyz);
1296 /* if(fReconstructor->GetStreamLevel() >=5){
1297 TTreeSRedirector &cstreamer = *fgDebugStreamer;
1298 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
1299 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
1300 Double_t chi2z = CalculateChi2Z(tracklets, z0, dzdx, xref);
1301 cstreamer << "FitRiemanTilt"
1302 << "EventNumber=" << eventNumber
1303 << "CandidateNumber=" << candidateNumber
1305 << "Chi2Z=" << chi2z
1312 //____________________________________________________________________
1313 Double_t AliTRDtrackerV1::FitKalman(AliTRDtrackV1 *track, AliTRDseedV1 *tracklets, Bool_t up, Int_t np, AliTrackPoint *points)
1315 // Kalman filter implementation for the TRD.
1316 // It returns the positions of the fit in the array "points"
1318 // Author : A.Bercuci@gsi.de
1320 //printf("Start track @ x[%f]\n", track->GetX());
1322 //prepare marker points along the track
1323 Int_t ip = np ? 0 : 1;
1325 if((up?-1:1) * (track->GetX() - points[ip].GetX()) > 0.) break;
1326 //printf("AliTRDtrackerV1::FitKalman() : Skip track marker x[%d] = %7.3f. Before track start ( %7.3f ).\n", ip, points[ip].GetX(), track->GetX());
1329 //if(points) printf("First marker point @ x[%d] = %f\n", ip, points[ip].GetX());
1332 AliTRDseedV1 tracklet, *ptrTracklet = 0x0;
1334 //Loop through the TRD planes
1335 for (Int_t jplane = 0; jplane < kNPlanes; jplane++) {
1336 // GET TRACKLET OR BUILT IT
1337 Int_t iplane = up ? jplane : kNPlanes - 1 - jplane;
1339 if(!(ptrTracklet = &tracklets[iplane])) continue;
1341 if(!(ptrTracklet = track->GetTracklet(iplane))){
1342 /*AliTRDtrackerV1 *tracker = 0x0;
1343 if(!(tracker = dynamic_cast<AliTRDtrackerV1*>( AliTRDReconstructor::Tracker()))) continue;
1344 ptrTracklet = new(&tracklet) AliTRDseedV1(iplane);
1345 if(!tracker->MakeTracklet(ptrTracklet, track)) */
1349 if(!ptrTracklet->IsOK()) continue;
1351 Double_t x = ptrTracklet->GetX0();
1354 //don't do anything if next marker is after next update point.
1355 if((up?-1:1) * (points[ip].GetX() - x) - fgkMaxStep < 0) break;
1357 //printf("Propagate to x[%d] = %f\n", ip, points[ip].GetX());
1359 if(((up?-1:1) * (points[ip].GetX() - track->GetX()) < 0) && !PropagateToX(*track, points[ip].GetX(), fgkMaxStep)) return -1.;
1361 Double_t xyz[3]; // should also get the covariance
1362 track->GetXYZ(xyz); points[ip].SetXYZ(xyz[0], xyz[1], xyz[2]);
1365 //printf("plane[%d] tracklet[%p] x[%f]\n", iplane, ptrTracklet, x);
1367 //Propagate closer to the next update point
1368 if(((up?-1:1) * (x - track->GetX()) + fgkMaxStep < 0) && !PropagateToX(*track, x + (up?-1:1)*fgkMaxStep, fgkMaxStep)) return -1.;
1370 if(!AdjustSector(track)) return -1;
1371 if(TMath::Abs(track->GetSnp()) > fgkMaxSnp) return -1;
1373 //load tracklet to the tracker and the track
1375 if((index = FindTracklet(ptrTracklet)) < 0){
1376 ptrTracklet = SetTracklet(&tracklet);
1377 index = fTracklets->GetEntriesFast()-1;
1379 track->SetTracklet(ptrTracklet, index);*/
1382 // register tracklet to track with tracklet creation !!
1383 // PropagateBack : loaded tracklet to the tracker and update index
1384 // RefitInward : update index
1385 // MakeTrack : loaded tracklet to the tracker and update index
1386 if(!tracklets) track->SetTracklet(ptrTracklet, -1);
1389 //Calculate the mean material budget along the path inside the chamber
1390 Double_t xyz0[3]; track->GetXYZ(xyz0);
1391 Double_t alpha = track->GetAlpha();
1392 Double_t xyz1[3], y, z;
1393 if(!track->GetProlongation(x, y, z)) return -1;
1394 xyz1[0] = x * TMath::Cos(alpha) - y * TMath::Sin(alpha);
1395 xyz1[1] = +x * TMath::Sin(alpha) + y * TMath::Cos(alpha);
1398 AliTracker::MeanMaterialBudget(xyz0, xyz1, param);
1399 Double_t xrho = param[0]*param[4]; // density*length
1400 Double_t xx0 = param[1]; // radiation length
1402 //Propagate the track
1403 track->PropagateTo(x, xx0, xrho);
1404 if (!AdjustSector(track)) break;
1407 Double_t chi2 = track->GetPredictedChi2(ptrTracklet);
1408 if(chi2<1e+10) track->Update(ptrTracklet, chi2);
1412 //Reset material budget if 2 consecutive gold
1413 if(iplane>0 && track->GetTracklet(iplane-1) && ptrTracklet->GetN() + track->GetTracklet(iplane-1)->GetN() > 20) track->SetBudget(2, 0.);
1414 } // end planes loop
1418 if(((up?-1:1) * (points[ip].GetX() - track->GetX()) < 0) && !PropagateToX(*track, points[ip].GetX(), fgkMaxStep)) return -1.;
1420 Double_t xyz[3]; // should also get the covariance
1421 track->GetXYZ(xyz); points[ip].SetXYZ(xyz[0], xyz[1], xyz[2]);
1425 return track->GetChi2();
1428 //_________________________________________________________________________
1429 Float_t AliTRDtrackerV1::CalculateChi2Z(AliTRDseedV1 *tracklets, Double_t offset, Double_t slope, Double_t xref)
1432 // Calculates the chi2-value of the track in z-Direction including tilting pad correction.
1433 // A linear dependence on the x-value serves as a model.
1434 // The parameters are related to the tilted Riemann fit.
1435 // Parameters: - Array of tracklets (AliTRDseedV1) related to the track candidate
1436 // - the offset for the reference x
1438 // - the reference x position
1439 // Output: - The Chi2 value of the track in z-Direction
1441 Float_t chi2Z = 0, nLayers = 0;
1442 for (Int_t iLayer = 0; iLayer < AliTRDgeometry::kNlayer; iLayer++) {
1443 if(!tracklets[iLayer].IsOK()) continue;
1444 Double_t z = offset + slope * (tracklets[iLayer].GetX0() - xref);
1445 chi2Z += TMath::Abs(tracklets[iLayer].GetMeanz() - z);
1448 chi2Z /= TMath::Max((nLayers - 3.0),1.0);
1452 //_____________________________________________________________________________
1453 Int_t AliTRDtrackerV1::PropagateToX(AliTRDtrackV1 &t, Double_t xToGo, Double_t maxStep)
1456 // Starting from current X-position of track <t> this function
1457 // extrapolates the track up to radial position <xToGo>.
1458 // Returns 1 if track reaches the plane, and 0 otherwise
1461 const Double_t kEpsilon = 0.00001;
1463 // Current track X-position
1464 Double_t xpos = t.GetX();
1466 // Direction: inward or outward
1467 Double_t dir = (xpos < xToGo) ? 1.0 : -1.0;
1469 while (((xToGo - xpos) * dir) > kEpsilon) {
1478 // The next step size
1479 Double_t step = dir * TMath::Min(TMath::Abs(xToGo-xpos),maxStep);
1481 // Get the global position of the starting point
1484 // X-position after next step
1487 // Get local Y and Z at the X-position of the next step
1488 if (!t.GetProlongation(x,y,z)) {
1489 return 0; // No prolongation possible
1492 // The global position of the end point of this prolongation step
1493 xyz1[0] = x * TMath::Cos(t.GetAlpha()) - y * TMath::Sin(t.GetAlpha());
1494 xyz1[1] = +x * TMath::Sin(t.GetAlpha()) + y * TMath::Cos(t.GetAlpha());
1497 // Calculate the mean material budget between start and
1498 // end point of this prolongation step
1499 AliTracker::MeanMaterialBudget(xyz0, xyz1, param);
1501 // Propagate the track to the X-position after the next step
1502 if (!t.PropagateTo(x,param[1],param[0]*param[4])) {
1506 // Rotate the track if necessary
1509 // New track X-position
1519 //_____________________________________________________________________________
1520 Int_t AliTRDtrackerV1::ReadClusters(TClonesArray* &array, TTree *clusterTree) const
1523 // Reads AliTRDclusters from the file.
1524 // The names of the cluster tree and branches
1525 // should match the ones used in AliTRDclusterizer::WriteClusters()
1528 Int_t nsize = Int_t(clusterTree->GetTotBytes() / (sizeof(AliTRDcluster)));
1529 TObjArray *clusterArray = new TObjArray(nsize+1000);
1531 TBranch *branch = clusterTree->GetBranch("TRDcluster");
1533 AliError("Can't get the branch !");
1536 branch->SetAddress(&clusterArray);
1539 array = new TClonesArray("AliTRDcluster", nsize);
1540 array->SetOwner(kTRUE);
1543 // Loop through all entries in the tree
1544 Int_t nEntries = (Int_t) clusterTree->GetEntries();
1547 AliTRDcluster *c = 0x0;
1548 for (Int_t iEntry = 0; iEntry < nEntries; iEntry++) {
1550 nbytes += clusterTree->GetEvent(iEntry);
1552 // Get the number of points in the detector
1553 Int_t nCluster = clusterArray->GetEntriesFast();
1554 for (Int_t iCluster = 0; iCluster < nCluster; iCluster++) {
1555 if(!(c = (AliTRDcluster *) clusterArray->UncheckedAt(iCluster))) continue;
1557 new((*fClusters)[ncl++]) AliTRDcluster(*c);
1558 delete (clusterArray->RemoveAt(iCluster));
1562 delete clusterArray;
1567 //_____________________________________________________________________________
1568 Int_t AliTRDtrackerV1::LoadClusters(TTree *cTree)
1571 // Fills clusters into TRD tracking sectors
1574 if(!fReconstructor->IsWritingClusters()){
1575 fClusters = AliTRDReconstructor::GetClusters();
1577 if (ReadClusters(fClusters, cTree)) {
1578 AliError("Problem with reading the clusters !");
1584 if(!fClusters || !fClusters->GetEntriesFast()){
1585 AliInfo("No TRD clusters");
1590 BuildTrackingContainers();
1592 //Int_t ncl = fClusters->GetEntriesFast();
1593 //AliInfo(Form("Clusters %d [%6.2f %% in the active volume]", ncl, 100.*float(nin)/ncl));
1598 //_____________________________________________________________________________
1599 Int_t AliTRDtrackerV1::LoadClusters(TClonesArray *clusters)
1602 // Fills clusters into TRD tracking sectors
1603 // Function for use in the HLT
1605 if(!clusters || !clusters->GetEntriesFast()){
1606 AliInfo("No TRD clusters");
1610 fClusters = clusters;
1614 BuildTrackingContainers();
1616 //Int_t ncl = fClusters->GetEntriesFast();
1617 //AliInfo(Form("Clusters %d [%6.2f %% in the active volume]", ncl, 100.*float(nin)/ncl));
1623 //____________________________________________________________________
1624 Int_t AliTRDtrackerV1::BuildTrackingContainers()
1626 // Building tracking containers for clusters
1628 Int_t nin =0, icl = fClusters->GetEntriesFast();
1630 AliTRDcluster *c = (AliTRDcluster *) fClusters->UncheckedAt(icl);
1631 if(c->IsInChamber()) nin++;
1632 Int_t detector = c->GetDetector();
1633 Int_t sector = fGeom->GetSector(detector);
1634 Int_t stack = fGeom->GetStack(detector);
1635 Int_t layer = fGeom->GetLayer(detector);
1637 fTrSec[sector].GetChamber(stack, layer, kTRUE)->InsertCluster(c, icl);
1640 for(int isector =0; isector<AliTRDgeometry::kNsector; isector++){
1641 if(!fTrSec[isector].GetNChambers()) continue;
1642 fTrSec[isector].Init(fReconstructor);
1650 //____________________________________________________________________
1651 void AliTRDtrackerV1::UnloadClusters()
1654 // Clears the arrays of clusters and tracks. Resets sectors and timebins
1657 if(fTracks) fTracks->Delete();
1658 if(fTracklets) fTracklets->Delete();
1659 if(fClusters && IsClustersOwner()) fClusters->Delete();
1661 if(IsClustersOwner()) fClusters->Delete();
1663 // save clusters array in the reconstructor for further use.
1664 if(!fReconstructor->IsWritingClusters()){
1665 AliTRDReconstructor::SetClusters(fClusters);
1666 SetClustersOwner(kFALSE);
1667 } else AliTRDReconstructor::SetClusters(0x0);
1670 for (int i = 0; i < AliTRDgeometry::kNsector; i++) fTrSec[i].Clear();
1672 // Increment the Event Number
1673 AliTRDtrackerDebug::SetEventNumber(AliTRDtrackerDebug::GetEventNumber() + 1);
1676 //_____________________________________________________________________________
1677 Bool_t AliTRDtrackerV1::AdjustSector(AliTRDtrackV1 *track)
1680 // Rotates the track when necessary
1683 Double_t alpha = AliTRDgeometry::GetAlpha();
1684 Double_t y = track->GetY();
1685 Double_t ymax = track->GetX()*TMath::Tan(0.5*alpha);
1688 if (!track->Rotate( alpha)) {
1692 else if (y < -ymax) {
1693 if (!track->Rotate(-alpha)) {
1703 //____________________________________________________________________
1704 AliTRDseedV1* AliTRDtrackerV1::GetTracklet(AliTRDtrackV1 *track, Int_t p, Int_t &idx)
1706 // Find tracklet for TRD track <track>
1715 // Detailed description
1717 idx = track->GetTrackletIndex(p);
1718 AliTRDseedV1 *tracklet = (idx==0xffff) ? 0x0 : (AliTRDseedV1*)fTracklets->UncheckedAt(idx);
1723 //____________________________________________________________________
1724 AliTRDseedV1* AliTRDtrackerV1::SetTracklet(AliTRDseedV1 *tracklet)
1726 // Add this tracklet to the list of tracklets stored in the tracker
1729 // - tracklet : pointer to the tracklet to be added to the list
1732 // - the index of the new tracklet in the tracker tracklets list
1734 // Detailed description
1735 // Build the tracklets list if it is not yet created (late initialization)
1736 // and adds the new tracklet to the list.
1739 fTracklets = new TClonesArray("AliTRDseedV1", AliTRDgeometry::Nsector()*kMaxTracksStack);
1740 fTracklets->SetOwner(kTRUE);
1742 Int_t nentries = fTracklets->GetEntriesFast();
1743 return new ((*fTracklets)[nentries]) AliTRDseedV1(*tracklet);
1746 //____________________________________________________________________
1747 AliTRDtrackV1* AliTRDtrackerV1::SetTrack(AliTRDtrackV1 *track)
1749 // Add this track to the list of tracks stored in the tracker
1752 // - track : pointer to the track to be added to the list
1755 // - the pointer added
1757 // Detailed description
1758 // Build the tracks list if it is not yet created (late initialization)
1759 // and adds the new track to the list.
1762 fTracks = new TClonesArray("AliTRDtrackV1", AliTRDgeometry::Nsector()*kMaxTracksStack);
1763 fTracks->SetOwner(kTRUE);
1765 Int_t nentries = fTracks->GetEntriesFast();
1766 return new ((*fTracks)[nentries]) AliTRDtrackV1(*track);
1771 //____________________________________________________________________
1772 Int_t AliTRDtrackerV1::Clusters2TracksSM(Int_t sector, AliESDEvent *esd)
1775 // Steer tracking for one SM.
1778 // sector : Array of (SM) propagation layers containing clusters
1779 // esd : The current ESD event. On output it contains the also
1780 // the ESD (TRD) tracks found in this SM.
1783 // Number of tracks found in this TRD supermodule.
1785 // Detailed description
1787 // 1. Unpack AliTRDpropagationLayers objects for each stack.
1788 // 2. Launch stack tracking.
1789 // See AliTRDtrackerV1::Clusters2TracksStack() for details.
1790 // 3. Pack results in the ESD event.
1793 // allocate space for esd tracks in this SM
1794 TClonesArray esdTrackList("AliESDtrack", 2*kMaxTracksStack);
1795 esdTrackList.SetOwner();
1798 Int_t nChambers = 0;
1799 AliTRDtrackingChamber **stack = 0x0, *chamber = 0x0;
1800 for(int istack = 0; istack<AliTRDgeometry::kNstack; istack++){
1801 if(!(stack = fTrSec[sector].GetStack(istack))) continue;
1803 for(int ilayer=0; ilayer<AliTRDgeometry::kNlayer; ilayer++){
1804 if(!(chamber = stack[ilayer])) continue;
1805 if(chamber->GetNClusters() < fgNTimeBins * fReconstructor->GetRecoParam() ->GetFindableClusters()) continue;
1807 //AliInfo(Form("sector %d stack %d layer %d clusters %d", sector, istack, ilayer, chamber->GetNClusters()));
1809 if(nChambers < 4) continue;
1810 //AliInfo(Form("Doing stack %d", istack));
1811 nTracks += Clusters2TracksStack(stack, &esdTrackList);
1813 //AliInfo(Form("Found %d tracks in SM %d [%d]\n", nTracks, sector, esd->GetNumberOfTracks()));
1815 for(int itrack=0; itrack<nTracks; itrack++)
1816 esd->AddTrack((AliESDtrack*)esdTrackList[itrack]);
1818 // Reset Track and Candidate Number
1819 AliTRDtrackerDebug::SetCandidateNumber(0);
1820 AliTRDtrackerDebug::SetTrackNumber(0);
1824 //____________________________________________________________________
1825 Int_t AliTRDtrackerV1::Clusters2TracksStack(AliTRDtrackingChamber **stack, TClonesArray *esdTrackList)
1828 // Make tracks in one TRD stack.
1831 // layer : Array of stack propagation layers containing clusters
1832 // esdTrackList : Array of ESD tracks found by the stand alone tracker.
1833 // On exit the tracks found in this stack are appended.
1836 // Number of tracks found in this stack.
1838 // Detailed description
1840 // 1. Find the 3 most useful seeding chambers. See BuildSeedingConfigs() for details.
1841 // 2. Steer AliTRDtrackerV1::MakeSeeds() for 3 seeding layer configurations.
1842 // See AliTRDtrackerV1::MakeSeeds() for more details.
1843 // 3. Arrange track candidates in decreasing order of their quality
1844 // 4. Classify tracks in 5 categories according to:
1845 // a) number of layers crossed
1847 // 5. Sign clusters by tracks in decreasing order of track quality
1848 // 6. Build AliTRDtrack out of seeding tracklets
1850 // 8. Build ESD track and register it to the output list
1853 AliTRDtrackingChamber *chamber = 0x0;
1854 AliTRDseedV1 sseed[kMaxTracksStack*6]; // to be initialized
1855 Int_t pars[4]; // MakeSeeds parameters
1857 //Double_t alpha = AliTRDgeometry::GetAlpha();
1858 //Double_t shift = .5 * alpha;
1859 Int_t configs[kNConfigs];
1861 // Build initial seeding configurations
1862 Double_t quality = BuildSeedingConfigs(stack, configs);
1863 if(fReconstructor->GetStreamLevel(AliTRDReconstructor::kTracker) > 1){
1864 AliInfo(Form("Plane config %d %d %d Quality %f"
1865 , configs[0], configs[1], configs[2], quality));
1868 // Initialize contors
1869 Int_t ntracks, // number of TRD track candidates
1870 ntracks1, // number of registered TRD tracks/iter
1871 ntracks2 = 0; // number of all registered TRD tracks in stack
1874 // Loop over seeding configurations
1875 ntracks = 0; ntracks1 = 0;
1876 for (Int_t iconf = 0; iconf<3; iconf++) {
1877 pars[0] = configs[iconf];
1879 ntracks = MakeSeeds(stack, &sseed[6*ntracks], pars);
1880 if(ntracks == kMaxTracksStack) break;
1882 if(fReconstructor->GetStreamLevel(AliTRDReconstructor::kTracker) > 1) AliInfo(Form("Candidate TRD tracks %d in iteration %d.", ntracks, fSieveSeeding));
1886 // Sort the seeds according to their quality
1887 Int_t sort[kMaxTracksStack];
1888 TMath::Sort(ntracks, fTrackQuality, sort, kTRUE);
1890 // Initialize number of tracks so far and logic switches
1891 Int_t ntracks0 = esdTrackList->GetEntriesFast();
1892 Bool_t signedTrack[kMaxTracksStack];
1893 Bool_t fakeTrack[kMaxTracksStack];
1894 for (Int_t i=0; i<ntracks; i++){
1895 signedTrack[i] = kFALSE;
1896 fakeTrack[i] = kFALSE;
1898 //AliInfo("Selecting track candidates ...");
1900 // Sieve clusters in decreasing order of track quality
1901 Double_t trackParams[7];
1902 // AliTRDseedV1 *lseed = 0x0;
1903 Int_t jSieve = 0, candidates;
1905 //AliInfo(Form("\t\tITER = %i ", jSieve));
1907 // Check track candidates
1909 for (Int_t itrack = 0; itrack < ntracks; itrack++) {
1910 Int_t trackIndex = sort[itrack];
1911 if (signedTrack[trackIndex] || fakeTrack[trackIndex]) continue;
1914 // Calculate track parameters from tracklets seeds
1919 for (Int_t jLayer = 0; jLayer < kNPlanes; jLayer++) {
1920 Int_t jseed = kNPlanes*trackIndex+jLayer;
1921 if(!sseed[jseed].IsOK()) continue;
1922 if (TMath::Abs(sseed[jseed].GetYref(0) / sseed[jseed].GetX0()) < 0.15) findable++;
1924 sseed[jseed].UpdateUsed();
1925 ncl += sseed[jseed].GetN2();
1926 nused += sseed[jseed].GetNUsed();
1930 // Filter duplicated tracks
1932 //printf("Skip %d nused %d\n", trackIndex, nused);
1933 fakeTrack[trackIndex] = kTRUE;
1936 if (Float_t(nused)/ncl >= .25){
1937 //printf("Skip %d nused/ncl >= .25\n", trackIndex);
1938 fakeTrack[trackIndex] = kTRUE;
1943 Bool_t skip = kFALSE;
1946 if(nlayers < 6) {skip = kTRUE; break;}
1947 if(TMath::Log(1.E-9+fTrackQuality[trackIndex]) < -5.){skip = kTRUE; break;}
1951 if(nlayers < findable){skip = kTRUE; break;}
1952 if(TMath::Log(1.E-9+fTrackQuality[trackIndex]) < -4.){skip = kTRUE; break;}
1956 if ((nlayers == findable) || (nlayers == 6)) { skip = kTRUE; break;}
1957 if (TMath::Log(1.E-9+fTrackQuality[trackIndex]) < -6.0){skip = kTRUE; break;}
1961 if (TMath::Log(1.E-9+fTrackQuality[trackIndex]) < -5.){skip = kTRUE; break;}
1965 if (nlayers == 3){skip = kTRUE; break;}
1966 //if (TMath::Log(1.E-9+fTrackQuality[trackIndex]) - nused/(nlayers-3.0) < -15.0){skip = kTRUE; break;}
1971 //printf("REJECTED : %d [%d] nlayers %d trackQuality = %e nused %d\n", itrack, trackIndex, nlayers, fTrackQuality[trackIndex], nused);
1974 signedTrack[trackIndex] = kTRUE;
1978 AliTRDcluster *cl = 0x0; Int_t clusterIndex = -1;
1979 for (Int_t jLayer = 0; jLayer < kNPlanes; jLayer++) {
1980 Int_t jseed = kNPlanes*trackIndex+jLayer;
1981 if(!sseed[jseed].IsOK()) continue;
1982 if(TMath::Abs(sseed[jseed].GetYfit(1) - sseed[jseed].GetYfit(1)) >= .2) continue; // check this condition with Marian
1983 sseed[jseed].UseClusters();
1986 while(!(cl = sseed[jseed].GetClusters(ic))) ic++;
1987 clusterIndex = sseed[jseed].GetIndexes(ic);
1993 // Build track parameters
1994 AliTRDseedV1 *lseed =&sseed[trackIndex*6];
1996 while(idx<3 && !lseed->IsOK()) {
2000 Double_t x = lseed->GetX0();// - 3.5;
2001 trackParams[0] = x; //NEW AB
2002 trackParams[1] = lseed->GetYref(0); // lseed->GetYat(x);
2003 trackParams[2] = lseed->GetZref(0); // lseed->GetZat(x);
2004 trackParams[3] = TMath::Sin(TMath::ATan(lseed->GetYref(1)));
2005 trackParams[4] = lseed->GetZref(1) / TMath::Sqrt(1. + lseed->GetYref(1) * lseed->GetYref(1));
2006 trackParams[5] = lseed->GetC();
2007 Int_t ich = 0; while(!(chamber = stack[ich])) ich++;
2008 trackParams[6] = fGeom->GetSector(chamber->GetDetector());/* *alpha+shift; // Supermodule*/
2010 if(fReconstructor->GetStreamLevel(AliTRDReconstructor::kTracker) > 1){
2011 AliInfo(Form("Track %d [%d] nlayers %d trackQuality = %e nused %d, yref = %3.3f", itrack, trackIndex, nlayers, fTrackQuality[trackIndex], nused, trackParams[1]));
2013 Int_t nclusters = 0;
2014 AliTRDseedV1 *dseed[6];
2016 // Build track label - what happens if measured data ???
2021 Int_t labelsall[1000];
2022 Int_t nlabelsall = 0;
2023 Int_t naccepted = 0;
2025 for (Int_t iLayer = 0; iLayer < kNPlanes; iLayer++) {
2026 Int_t jseed = kNPlanes*trackIndex+iLayer;
2027 dseed[iLayer] = new AliTRDseedV1(sseed[jseed]);
2028 dseed[iLayer]->SetOwner();
2029 nclusters += sseed[jseed].GetN2();
2030 if(!sseed[jseed].IsOK()) continue;
2031 for(int ilab=0; ilab<2; ilab++){
2032 if(sseed[jseed].GetLabels(ilab) < 0) continue;
2033 labels[nlab] = sseed[jseed].GetLabels(ilab);
2038 for (Int_t itime = 0; itime < fgNTimeBins; itime++) {
2039 if(!sseed[jseed].IsUsable(itime)) continue;
2041 Int_t tindex = 0, ilab = 0;
2042 while(ilab<3 && (tindex = sseed[jseed].GetClusters(itime)->GetLabel(ilab)) >= 0){
2043 labelsall[nlabelsall++] = tindex;
2048 Freq(nlab,labels,outlab,kFALSE);
2049 Int_t label = outlab[0];
2050 Int_t frequency = outlab[1];
2051 Freq(nlabelsall,labelsall,outlab,kFALSE);
2052 Int_t label1 = outlab[0];
2053 Int_t label2 = outlab[2];
2054 Float_t fakeratio = (naccepted - outlab[1]) / Float_t(naccepted);
2056 //Int_t eventNrInFile = esd->GetEventNumberInFile();
2057 //AliInfo(Form("Number of clusters %d.", nclusters));
2058 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
2059 Int_t trackNumber = AliTRDtrackerDebug::GetTrackNumber();
2060 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
2061 TTreeSRedirector &cstreamer = *fgDebugStreamer;
2062 cstreamer << "Clusters2TracksStack"
2063 << "EventNumber=" << eventNumber
2064 << "TrackNumber=" << trackNumber
2065 << "CandidateNumber=" << candidateNumber
2066 << "Iter=" << fSieveSeeding
2067 << "Like=" << fTrackQuality[trackIndex]
2068 << "S0.=" << dseed[0]
2069 << "S1.=" << dseed[1]
2070 << "S2.=" << dseed[2]
2071 << "S3.=" << dseed[3]
2072 << "S4.=" << dseed[4]
2073 << "S5.=" << dseed[5]
2074 << "p0=" << trackParams[0]
2075 << "p1=" << trackParams[1]
2076 << "p2=" << trackParams[2]
2077 << "p3=" << trackParams[3]
2078 << "p4=" << trackParams[4]
2079 << "p5=" << trackParams[5]
2080 << "p6=" << trackParams[6]
2081 << "Label=" << label
2082 << "Label1=" << label1
2083 << "Label2=" << label2
2084 << "FakeRatio=" << fakeratio
2085 << "Freq=" << frequency
2087 << "NLayers=" << nlayers
2088 << "Findable=" << findable
2089 << "NUsed=" << nused
2093 AliTRDtrackV1 *track = MakeTrack(&sseed[trackIndex*kNPlanes], trackParams);
2095 AliWarning("Fail to build a TRD Track.");
2099 //AliInfo("End of MakeTrack()");
2100 AliESDtrack *esdTrack = new ((*esdTrackList)[ntracks0++]) AliESDtrack();
2101 esdTrack->UpdateTrackParams(track, AliESDtrack::kTRDout);
2102 esdTrack->SetLabel(track->GetLabel());
2103 track->UpdateESDtrack(esdTrack);
2104 // write ESD-friends if neccessary
2105 if (fReconstructor->GetStreamLevel(AliTRDReconstructor::kTracker) > 0){
2106 AliTRDtrackV1 *calibTrack = new AliTRDtrackV1(*track);
2107 calibTrack->SetOwner();
2108 esdTrack->AddCalibObject(calibTrack);
2111 AliTRDtrackerDebug::SetTrackNumber(AliTRDtrackerDebug::GetTrackNumber() + 1);
2115 } while(jSieve<5 && candidates); // end track candidates sieve
2116 if(!ntracks1) break;
2118 // increment counters
2119 ntracks2 += ntracks1;
2121 if(fReconstructor->IsHLT()) break;
2124 // Rebuild plane configurations and indices taking only unused clusters into account
2125 quality = BuildSeedingConfigs(stack, configs);
2126 if(quality < 1.E-7) break; //fReconstructor->GetRecoParam() ->GetPlaneQualityThreshold()) break;
2128 for(Int_t ip = 0; ip < kNPlanes; ip++){
2129 if(!(chamber = stack[ip])) continue;
2130 chamber->Build(fGeom);//Indices(fSieveSeeding);
2133 if(fReconstructor->GetStreamLevel(AliTRDReconstructor::kTracker) > 1){
2134 AliInfo(Form("Sieve level %d Plane config %d %d %d Quality %f", fSieveSeeding, configs[0], configs[1], configs[2], quality));
2136 } while(fSieveSeeding<10); // end stack clusters sieve
2140 //AliInfo(Form("Registered TRD tracks %d in stack %d.", ntracks2, pars[1]));
2145 //___________________________________________________________________
2146 Double_t AliTRDtrackerV1::BuildSeedingConfigs(AliTRDtrackingChamber **stack, Int_t *configs)
2149 // Assign probabilities to chambers according to their
2150 // capability of producing seeds.
2154 // layers : Array of stack propagation layers for all 6 chambers in one stack
2155 // configs : On exit array of configuration indexes (see GetSeedingConfig()
2156 // for details) in the decreasing order of their seeding probabilities.
2160 // Return top configuration quality
2162 // Detailed description:
2164 // To each chamber seeding configuration (see GetSeedingConfig() for
2165 // the list of all configurations) one defines 2 quality factors:
2166 // - an apriori topological quality (see GetSeedingConfig() for details) and
2167 // - a data quality based on the uniformity of the distribution of
2168 // clusters over the x range (time bins population). See CookChamberQA() for details.
2169 // The overall chamber quality is given by the product of this 2 contributions.
2172 Double_t chamberQ[kNPlanes];
2173 AliTRDtrackingChamber *chamber = 0x0;
2174 for(int iplane=0; iplane<kNPlanes; iplane++){
2175 if(!(chamber = stack[iplane])) continue;
2176 chamberQ[iplane] = (chamber = stack[iplane]) ? chamber->GetQuality() : 0.;
2179 Double_t tconfig[kNConfigs];
2181 for(int iconf=0; iconf<kNConfigs; iconf++){
2182 GetSeedingConfig(iconf, planes);
2183 tconfig[iconf] = fgTopologicQA[iconf];
2184 for(int iplane=0; iplane<4; iplane++) tconfig[iconf] *= chamberQ[planes[iplane]];
2187 TMath::Sort((Int_t)kNConfigs, tconfig, configs, kTRUE);
2188 // AliInfo(Form("q[%d] = %f", configs[0], tconfig[configs[0]]));
2189 // AliInfo(Form("q[%d] = %f", configs[1], tconfig[configs[1]]));
2190 // AliInfo(Form("q[%d] = %f", configs[2], tconfig[configs[2]]));
2192 return tconfig[configs[0]];
2195 //____________________________________________________________________
2196 Int_t AliTRDtrackerV1::MakeSeeds(AliTRDtrackingChamber **stack, AliTRDseedV1 *sseed, Int_t *ipar)
2199 // Make tracklet seeds in the TRD stack.
2202 // layers : Array of stack propagation layers containing clusters
2203 // sseed : Array of empty tracklet seeds. On exit they are filled.
2204 // ipar : Control parameters:
2205 // ipar[0] -> seeding chambers configuration
2206 // ipar[1] -> stack index
2207 // ipar[2] -> number of track candidates found so far
2210 // Number of tracks candidates found.
2212 // Detailed description
2214 // The following steps are performed:
2215 // 1. Select seeding layers from seeding chambers
2216 // 2. Select seeding clusters from the seeding AliTRDpropagationLayerStack.
2217 // The clusters are taken from layer 3, layer 0, layer 1 and layer 2, in
2218 // this order. The parameters controling the range of accepted clusters in
2219 // layer 0, 1, and 2 are defined in AliTRDchamberTimeBin::BuildCond().
2220 // 3. Helix fit of the cluster set. (see AliTRDtrackerFitter::FitRieman(AliTRDcluster**))
2221 // 4. Initialize seeding tracklets in the seeding chambers.
2223 // Chi2 in the Y direction less than threshold ... (1./(3. - sLayer))
2224 // Chi2 in the Z direction less than threshold ... (1./(3. - sLayer))
2225 // 6. Attach clusters to seeding tracklets and find linear approximation of
2226 // the tracklet (see AliTRDseedV1::AttachClustersIter()). The number of used
2227 // clusters used by current seeds should not exceed ... (25).
2229 // All 4 seeding tracklets should be correctly constructed (see
2230 // AliTRDseedV1::AttachClustersIter())
2231 // 8. Helix fit of the seeding tracklets
2233 // Likelihood calculation of the fit. (See AliTRDtrackerV1::CookLikelihood() for details)
2234 // 10. Extrapolation of the helix fit to the other 2 chambers:
2235 // a) Initialization of extrapolation tracklet with fit parameters
2236 // b) Helix fit of tracklets
2237 // c) Attach clusters and linear interpolation to extrapolated tracklets
2238 // d) Helix fit of tracklets
2239 // 11. Improve seeding tracklets quality by reassigning clusters.
2240 // See AliTRDtrackerV1::ImproveSeedQuality() for details.
2241 // 12. Helix fit of all 6 seeding tracklets and chi2 calculation
2242 // 13. Hyperplane fit and track quality calculation. See AliTRDtrackerFitter::FitHyperplane() for details.
2243 // 14. Cooking labels for tracklets. Should be done only for MC
2244 // 15. Register seeds.
2247 AliTRDtrackingChamber *chamber = 0x0;
2248 AliTRDcluster *c[kNSeedPlanes] = {0x0, 0x0, 0x0, 0x0}; // initilize seeding clusters
2249 AliTRDseedV1 *cseed = &sseed[0]; // initialize tracklets for first track
2250 Int_t ncl, mcl; // working variable for looping over clusters
2251 Int_t index[AliTRDchamberTimeBin::kMaxClustersLayer], jndex[AliTRDchamberTimeBin::kMaxClustersLayer];
2253 // chi2[0] = tracklet chi2 on the Z direction
2254 // chi2[1] = tracklet chi2 on the R direction
2257 // Default positions for the anode wire in all 6 Layers in case of a stack with missing clusters
2258 // Positions taken using cosmic data taken with SM3 after rebuild
2259 Double_t x_def[kNPlanes] = {300.2, 312.8, 325.4, 338, 350.6, 363.2};
2261 // this should be data member of AliTRDtrack
2262 Double_t seedQuality[kMaxTracksStack];
2264 // unpack control parameters
2265 Int_t config = ipar[0];
2266 Int_t ntracks = ipar[1];
2267 Int_t planes[kNSeedPlanes]; GetSeedingConfig(config, planes);
2268 Int_t planesExt[kNPlanes-kNSeedPlanes]; GetExtrapolationConfig(config, planesExt);
2271 // Init chambers geometry
2272 Int_t ic = 0; while(!(chamber = stack[ic])) ic++;
2273 Int_t istack = fGeom->GetStack(chamber->GetDetector());
2274 Double_t hL[kNPlanes]; // Tilting angle
2275 Float_t padlength[kNPlanes]; // pad lenghts
2276 AliTRDpadPlane *pp = 0x0;
2277 for(int iplane=0; iplane<kNPlanes; iplane++){
2278 pp = fGeom->GetPadPlane(iplane, istack);
2279 hL[iplane] = TMath::Tan(TMath::DegToRad()*pp->GetTiltingAngle());
2280 padlength[iplane] = pp->GetLengthIPad();
2283 if(fReconstructor->GetStreamLevel(AliTRDReconstructor::kTracker) > 1){
2284 AliInfo(Form("Making seeds Stack[%d] Config[%d] Tracks[%d]...", istack, config, ntracks));
2289 for(int isl=0; isl<kNSeedPlanes; isl++){
2290 if(!(chamber = stack[planes[isl]])) continue;
2291 if(!chamber->GetSeedingLayer(fSeedTB[isl], fGeom, fReconstructor)) continue;
2294 if(nlayers < 4) return 0;
2297 // Start finding seeds
2298 Double_t cond0[4], cond1[4], cond2[4];
2300 while((c[3] = (*fSeedTB[3])[icl++])){
2302 fSeedTB[0]->BuildCond(c[3], cond0, 0);
2303 fSeedTB[0]->GetClusters(cond0, index, ncl);
2304 //printf("Found c[3] candidates 0 %d\n", ncl);
2307 c[0] = (*fSeedTB[0])[index[jcl++]];
2309 Double_t dx = c[3]->GetX() - c[0]->GetX();
2310 Double_t theta = (c[3]->GetZ() - c[0]->GetZ())/dx;
2311 Double_t phi = (c[3]->GetY() - c[0]->GetY())/dx;
2312 fSeedTB[1]->BuildCond(c[0], cond1, 1, theta, phi);
2313 fSeedTB[1]->GetClusters(cond1, jndex, mcl);
2314 //printf("Found c[0] candidates 1 %d\n", mcl);
2318 c[1] = (*fSeedTB[1])[jndex[kcl++]];
2320 fSeedTB[2]->BuildCond(c[1], cond2, 2, theta, phi);
2321 c[2] = fSeedTB[2]->GetNearestCluster(cond2);
2322 //printf("Found c[1] candidate 2 %p\n", c[2]);
2325 // AliInfo("Seeding clusters found. Building seeds ...");
2326 // for(Int_t i = 0; i < kNSeedPlanes; i++) printf("%i. coordinates: x = %6.3f, y = %6.3f, z = %6.3f\n", i, c[i]->GetX(), c[i]->GetY(), c[i]->GetZ());
2328 for (Int_t il = 0; il < kNPlanes; il++) cseed[il].Reset();
2332 AliTRDseedV1 *tseed = 0x0;
2333 for(int iLayer=0; iLayer<kNPlanes; iLayer++){
2334 tseed = &cseed[iLayer];
2335 tseed->SetPlane(iLayer);
2336 tseed->SetTilt(hL[iLayer]);
2337 tseed->SetPadLength(padlength[iLayer]);
2338 tseed->SetReconstructor(fReconstructor);
2339 Double_t x_anode = stack[iLayer] ? stack[iLayer]->GetX() : x_def[iLayer];
2340 tseed->SetX0(x_anode);
2341 tseed->Init(GetRiemanFitter());
2344 Bool_t isFake = kFALSE;
2345 if(fReconstructor->GetStreamLevel(AliTRDReconstructor::kTracker) >= 2){
2346 if (c[0]->GetLabel(0) != c[3]->GetLabel(0)) isFake = kTRUE;
2347 if (c[1]->GetLabel(0) != c[3]->GetLabel(0)) isFake = kTRUE;
2348 if (c[2]->GetLabel(0) != c[3]->GetLabel(0)) isFake = kTRUE;
2351 for(Int_t l = 0; l < kNSeedPlanes; l++) xpos[l] = fSeedTB[l]->GetX();
2353 for(int il=0; il<4; il++) yref[il] = cseed[planes[il]].GetYref(0);
2354 Int_t ll = c[3]->GetLabel(0);
2355 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
2356 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
2357 AliRieman *rim = GetRiemanFitter();
2358 TTreeSRedirector &cs0 = *fgDebugStreamer;
2360 <<"EventNumber=" << eventNumber
2361 <<"CandidateNumber=" << candidateNumber
2362 <<"isFake=" << isFake
2363 <<"config=" << config
2365 <<"chi2z=" << chi2[0]
2366 <<"chi2y=" << chi2[1]
2367 <<"Y2exp=" << cond2[0]
2368 <<"Z2exp=" << cond2[1]
2369 <<"X0=" << xpos[0] //layer[sLayer]->GetX()
2370 <<"X1=" << xpos[1] //layer[sLayer + 1]->GetX()
2371 <<"X2=" << xpos[2] //layer[sLayer + 2]->GetX()
2372 <<"X3=" << xpos[3] //layer[sLayer + 3]->GetX()
2373 <<"yref0=" << yref[0]
2374 <<"yref1=" << yref[1]
2375 <<"yref2=" << yref[2]
2376 <<"yref3=" << yref[3]
2381 <<"Seed0.=" << &cseed[planes[0]]
2382 <<"Seed1.=" << &cseed[planes[1]]
2383 <<"Seed2.=" << &cseed[planes[2]]
2384 <<"Seed3.=" << &cseed[planes[3]]
2385 <<"RiemanFitter.=" << rim
2388 if(chi2[0] > fReconstructor->GetRecoParam() ->GetChi2Z()/*7./(3. - sLayer)*//*iter*/){
2389 // //AliInfo(Form("Failed chi2 filter on chi2Z [%f].", chi2[0]));
2390 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2393 if(chi2[1] > fReconstructor->GetRecoParam() ->GetChi2Y()/*1./(3. - sLayer)*//*iter*/){
2394 // //AliInfo(Form("Failed chi2 filter on chi2Y [%f].", chi2[1]));
2395 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2398 //AliInfo("Passed chi2 filter.");
2400 // try attaching clusters to tracklets
2403 for(int iLayer=0; iLayer<kNSeedPlanes; iLayer++){
2404 Int_t jLayer = planes[iLayer];
2405 if(!cseed[jLayer].AttachClustersIter(stack[jLayer], 5., kFALSE, c[iLayer])) continue;
2406 nUsedCl += cseed[jLayer].GetNUsed();
2407 if(nUsedCl > 25) break;
2411 if(mlayers < kNSeedPlanes){
2412 //AliInfo(Form("Failed updating all seeds %d [%d].", mlayers, kNSeedPlanes));
2413 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2417 // temporary exit door for the HLT
2418 if(fReconstructor->IsHLT()){
2419 // attach clusters to extrapolation chambers
2420 for(int iLayer=0; iLayer<kNPlanes-kNSeedPlanes; iLayer++){
2421 Int_t jLayer = planesExt[iLayer];
2422 if(!(chamber = stack[jLayer])) continue;
2423 cseed[jLayer].AttachClustersIter(chamber, 1000.);
2425 fTrackQuality[ntracks] = 1.; // dummy value
2427 if(ntracks == kMaxTracksStack){
2428 AliWarning(Form("Number of seeds reached maximum allowed (%d) in stack.", kMaxTracksStack));
2436 // fit tracklets and cook likelihood
2437 FitTiltedRieman(&cseed[0], kTRUE);// Update Seeds and calculate Likelihood
2438 Double_t like = CookLikelihood(&cseed[0], planes); // to be checked
2440 if (TMath::Log(1.E-9 + like) < fReconstructor->GetRecoParam() ->GetTrackLikelihood()){
2441 //AliInfo(Form("Failed likelihood %f[%e].", TMath::Log(1.E-9 + like), like));
2442 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2445 //AliInfo(Form("Passed likelihood %f[%e].", TMath::Log(1.E-9 + like), like));
2447 // book preliminary results
2448 seedQuality[ntracks] = like;
2449 fSeedLayer[ntracks] = config;/*sLayer;*/
2451 // attach clusters to the extrapolation seeds
2452 Int_t nusedf = 0; // debug value
2453 for(int iLayer=0; iLayer<kNPlanes-kNSeedPlanes; iLayer++){
2454 Int_t jLayer = planesExt[iLayer];
2455 if(!(chamber = stack[jLayer])) continue;
2457 // fit extrapolated seed
2458 if ((jLayer == 0) && !(cseed[1].IsOK())) continue;
2459 if ((jLayer == 5) && !(cseed[4].IsOK())) continue;
2460 AliTRDseedV1 pseed = cseed[jLayer];
2461 if(!pseed.AttachClustersIter(chamber, 1000.)) continue;
2462 cseed[jLayer] = pseed;
2463 nusedf += cseed[jLayer].GetNUsed(); // debug value
2464 FitTiltedRieman(cseed, kTRUE);
2467 // AliInfo("Extrapolation done.");
2468 // Debug Stream containing all the 6 tracklets
2469 if(fReconstructor->GetStreamLevel(AliTRDReconstructor::kTracker) >= 2){
2470 TTreeSRedirector &cstreamer = *fgDebugStreamer;
2471 TLinearFitter *tiltedRieman = GetTiltedRiemanFitter();
2472 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
2473 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
2474 cstreamer << "MakeSeeds1"
2475 << "EventNumber=" << eventNumber
2476 << "CandidateNumber=" << candidateNumber
2477 << "S0.=" << &cseed[0]
2478 << "S1.=" << &cseed[1]
2479 << "S2.=" << &cseed[2]
2480 << "S3.=" << &cseed[3]
2481 << "S4.=" << &cseed[4]
2482 << "S5.=" << &cseed[5]
2483 << "FitterT.=" << tiltedRieman
2487 if(fReconstructor->GetRecoParam()->HasImproveTracklets() && ImproveSeedQuality(stack, cseed) < 4){
2488 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2491 //AliInfo("Improve seed quality done.");
2493 // fit full track and cook likelihoods
2494 // Double_t curv = FitRieman(&cseed[0], chi2);
2495 // Double_t chi2ZF = chi2[0] / TMath::Max((mlayers - 3.), 1.);
2496 // Double_t chi2RF = chi2[1] / TMath::Max((mlayers - 3.), 1.);
2498 // do the final track fitting (Once with vertex constraint and once without vertex constraint)
2499 Double_t chi2Vals[3];
2500 chi2Vals[0] = FitTiltedRieman(&cseed[0], kFALSE);
2501 if(fReconstructor->GetRecoParam()->IsVertexConstrained())
2502 chi2Vals[1] = FitTiltedRiemanConstraint(&cseed[0], GetZ()); // Do Vertex Constrained fit if desired
2505 chi2Vals[2] = GetChi2Z(&cseed[0]) / TMath::Max((mlayers - 3.), 1.);
2506 // Chi2 definitions in testing stage
2507 //chi2Vals[2] = GetChi2ZTest(&cseed[0]);
2508 fTrackQuality[ntracks] = CalculateTrackLikelihood(&cseed[0], &chi2Vals[0]);
2509 //AliInfo("Hyperplane fit done\n");
2511 // finalize tracklets
2515 for (Int_t iLayer = 0; iLayer < 6; iLayer++) {
2516 if (!cseed[iLayer].IsOK()) continue;
2518 if (cseed[iLayer].GetLabels(0) >= 0) {
2519 labels[nlab] = cseed[iLayer].GetLabels(0);
2523 if (cseed[iLayer].GetLabels(1) >= 0) {
2524 labels[nlab] = cseed[iLayer].GetLabels(1);
2528 Freq(nlab,labels,outlab,kFALSE);
2529 Int_t label = outlab[0];
2530 Int_t frequency = outlab[1];
2531 for (Int_t iLayer = 0; iLayer < 6; iLayer++) {
2532 cseed[iLayer].SetFreq(frequency);
2533 cseed[iLayer].SetChi2Z(chi2[1]);
2536 if(fReconstructor->GetStreamLevel(AliTRDReconstructor::kTracker) >= 2){
2537 TTreeSRedirector &cstreamer = *fgDebugStreamer;
2538 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
2539 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
2540 TLinearFitter *fitterTC = GetTiltedRiemanFitterConstraint();
2541 TLinearFitter *fitterT = GetTiltedRiemanFitter();
2543 for(Int_t iseed = 0; iseed < kNPlanes; iseed++){
2544 ncls += cseed[iseed].IsOK() ? cseed[iseed].GetN2() : 0;
2546 cstreamer << "MakeSeeds2"
2547 << "EventNumber=" << eventNumber
2548 << "CandidateNumber=" << candidateNumber
2549 << "Chi2TR=" << chi2Vals[0]
2550 << "Chi2TC=" << chi2Vals[1]
2551 << "Nlayers=" << mlayers
2552 << "NClusters=" << ncls
2553 << "NUsedS=" << nUsedCl
2554 << "NUsed=" << nusedf
2556 << "S0.=" << &cseed[0]
2557 << "S1.=" << &cseed[1]
2558 << "S2.=" << &cseed[2]
2559 << "S3.=" << &cseed[3]
2560 << "S4.=" << &cseed[4]
2561 << "S5.=" << &cseed[5]
2562 << "Label=" << label
2563 << "Freq=" << frequency
2564 << "FitterT.=" << fitterT
2565 << "FitterTC.=" << fitterTC
2570 AliTRDtrackerDebug::SetCandidateNumber(AliTRDtrackerDebug::GetCandidateNumber() + 1);
2571 if(ntracks == kMaxTracksStack){
2572 AliWarning(Form("Number of seeds reached maximum allowed (%d) in stack.", kMaxTracksStack));
2583 //_____________________________________________________________________________
2584 AliTRDtrackV1* AliTRDtrackerV1::MakeTrack(AliTRDseedV1 *seeds, Double_t *params)
2587 // Build a TRD track out of tracklet candidates
2590 // seeds : array of tracklets
2591 // params : track parameters (see MakeSeeds() function body for a detailed description)
2596 // Detailed description
2598 // To be discussed with Marian !!
2602 Double_t alpha = AliTRDgeometry::GetAlpha();
2603 Double_t shift = AliTRDgeometry::GetAlpha()/2.0;
2607 c[ 1] = 0.0; c[ 2] = 2.0;
2608 c[ 3] = 0.0; c[ 4] = 0.0; c[ 5] = 0.02;
2609 c[ 6] = 0.0; c[ 7] = 0.0; c[ 8] = 0.0; c[ 9] = 0.1;
2610 c[10] = 0.0; c[11] = 0.0; c[12] = 0.0; c[13] = 0.0; c[14] = params[5]*params[5]*0.01;
2612 AliTRDtrackV1 track(seeds, ¶ms[1], c, params[0], params[6]*alpha+shift);
2613 track.PropagateTo(params[0]-5.0);
2614 if(fReconstructor->IsHLT()){
2615 AliTRDseedV1 *ptrTracklet = 0x0;
2616 for(Int_t ip=0; ip<kNPlanes; ip++){
2617 track.UnsetTracklet(ip);
2618 ptrTracklet = SetTracklet(&seeds[ip]);
2619 track.SetTracklet(ptrTracklet, fTracklets->GetEntriesFast()-1);
2621 return SetTrack(&track);
2624 track.ResetCovariance(1);
2625 Int_t nc = TMath::Abs(FollowBackProlongation(track));
2626 if(fReconstructor->GetStreamLevel(AliTRDReconstructor::kTracker) > 5){
2627 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
2628 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
2629 Double_t p[5]; // Track Params for the Debug Stream
2630 track.GetExternalParameters(params[0], p);
2631 TTreeSRedirector &cs = *fgDebugStreamer;
2633 << "EventNumber=" << eventNumber
2634 << "CandidateNumber=" << candidateNumber
2636 << "X=" << params[0]
2642 << "Yin=" << params[1]
2643 << "Zin=" << params[2]
2644 << "snpin=" << params[3]
2645 << "tndin=" << params[4]
2646 << "crvin=" << params[5]
2647 << "track.=" << &track
2650 if (nc < 30) return 0x0;
2652 AliTRDtrackV1 *ptrTrack = SetTrack(&track);
2653 ptrTrack->CookLabel(.9);
2655 // computes PID for track
2656 ptrTrack->CookPID();
2657 // update calibration references using this track
2658 AliTRDCalibraFillHisto *calibra = AliTRDCalibraFillHisto::Instance();
2660 AliInfo("Could not get Calibra instance\n");
2661 if(calibra->GetHisto2d()) calibra->UpdateHistogramsV1(ptrTrack);
2667 //____________________________________________________________________
2668 Int_t AliTRDtrackerV1::ImproveSeedQuality(AliTRDtrackingChamber **stack, AliTRDseedV1 *cseed)
2671 // Sort tracklets according to "quality" and try to "improve" the first 4 worst
2674 // layers : Array of propagation layers for a stack/supermodule
2675 // cseed : Array of 6 seeding tracklets which has to be improved
2678 // cssed : Improved seeds
2680 // Detailed description
2682 // Iterative procedure in which new clusters are searched for each
2683 // tracklet seed such that the seed quality (see AliTRDseed::GetQuality())
2684 // can be maximized. If some optimization is found the old seeds are replaced.
2689 // make a local working copy
2690 AliTRDtrackingChamber *chamber = 0x0;
2691 AliTRDseedV1 bseed[6];
2693 for (Int_t jLayer = 0; jLayer < 6; jLayer++) bseed[jLayer] = cseed[jLayer];
2695 Float_t lastquality = 10000.0;
2696 Float_t lastchi2 = 10000.0;
2697 Float_t chi2 = 1000.0;
2699 for (Int_t iter = 0; iter < 4; iter++) {
2700 Float_t sumquality = 0.0;
2701 Float_t squality[6];
2702 Int_t sortindexes[6];
2704 for (Int_t jLayer = 0; jLayer < 6; jLayer++) {
2705 squality[jLayer] = bseed[jLayer].IsOK() ? bseed[jLayer].GetQuality(kTRUE) : 1000.;
2706 sumquality += squality[jLayer];
2708 if ((sumquality >= lastquality) || (chi2 > lastchi2)) break;
2711 lastquality = sumquality;
2713 if (iter > 0) for (Int_t jLayer = 0; jLayer < 6; jLayer++) cseed[jLayer] = bseed[jLayer];
2715 TMath::Sort(6, squality, sortindexes, kFALSE);
2716 for (Int_t jLayer = 5; jLayer > 1; jLayer--) {
2717 Int_t bLayer = sortindexes[jLayer];
2718 if(!(chamber = stack[bLayer])) continue;
2719 bseed[bLayer].AttachClustersIter(chamber, squality[bLayer], kTRUE);
2720 if(bseed[bLayer].IsOK()) nLayers++;
2723 chi2 = FitTiltedRieman(bseed, kTRUE);
2724 if(fReconstructor->GetStreamLevel(AliTRDReconstructor::kTracker) >= 7){
2725 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
2726 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
2727 TLinearFitter *tiltedRieman = GetTiltedRiemanFitter();
2728 TTreeSRedirector &cstreamer = *fgDebugStreamer;
2729 cstreamer << "ImproveSeedQuality"
2730 << "EventNumber=" << eventNumber
2731 << "CandidateNumber=" << candidateNumber
2732 << "Iteration=" << iter
2733 << "S0.=" << &bseed[0]
2734 << "S1.=" << &bseed[1]
2735 << "S2.=" << &bseed[2]
2736 << "S3.=" << &bseed[3]
2737 << "S4.=" << &bseed[4]
2738 << "S5.=" << &bseed[5]
2739 << "FitterT.=" << tiltedRieman
2744 // we are sure that at least 2 tracklets are OK !
2748 //_________________________________________________________________________
2749 Double_t AliTRDtrackerV1::CalculateTrackLikelihood(AliTRDseedV1 *tracklets, Double_t *chi2){
2751 // Calculates the Track Likelihood value. This parameter serves as main quality criterion for
2752 // the track selection
2753 // The likelihood value containes:
2754 // - The chi2 values from the both fitters and the chi2 values in z-direction from a linear fit
2755 // - The Sum of the Parameter |slope_ref - slope_fit|/Sigma of the tracklets
2756 // For all Parameters an exponential dependency is used
2758 // Parameters: - Array of tracklets (AliTRDseedV1) related to the track candidate
2759 // - Array of chi2 values:
2760 // * Non-Constrained Tilted Riemann fit
2761 // * Vertex-Constrained Tilted Riemann fit
2762 // * z-Direction from Linear fit
2763 // Output: - The calculated track likelihood
2768 Double_t sumdaf = 0, nLayers = 0;
2769 for (Int_t iLayer = 0; iLayer < kNPlanes; iLayer++) {
2770 if(!tracklets[iLayer].IsOK()) continue;
2771 sumdaf += TMath::Abs((tracklets[iLayer].GetYfit(1) - tracklets[iLayer].GetYref(1))/ tracklets[iLayer].GetSigmaY2());
2774 sumdaf /= Float_t (nLayers - 2.0);
2776 Double_t likeChi2Z = TMath::Exp(-chi2[2] * 0.14); // Chi2Z
2777 Double_t likeChi2TC = (fReconstructor->GetRecoParam() ->IsVertexConstrained()) ?
2778 TMath::Exp(-chi2[1] * 0.677) : 1; // Constrained Tilted Riemann
2779 Double_t likeChi2TR = TMath::Exp(-chi2[0] * 0.78); // Non-constrained Tilted Riemann
2780 Double_t likeAF = TMath::Exp(-sumdaf * 3.23);
2781 Double_t trackLikelihood = likeChi2Z * likeChi2TR * likeAF;
2783 if(fReconstructor->GetStreamLevel(AliTRDReconstructor::kTracker) >= 2){
2784 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
2785 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
2786 TTreeSRedirector &cstreamer = *fgDebugStreamer;
2787 cstreamer << "CalculateTrackLikelihood0"
2788 << "EventNumber=" << eventNumber
2789 << "CandidateNumber=" << candidateNumber
2790 << "LikeChi2Z=" << likeChi2Z
2791 << "LikeChi2TR=" << likeChi2TR
2792 << "LikeChi2TC=" << likeChi2TC
2793 << "LikeAF=" << likeAF
2794 << "TrackLikelihood=" << trackLikelihood
2798 return trackLikelihood;
2801 //____________________________________________________________________
2802 Double_t AliTRDtrackerV1::CookLikelihood(AliTRDseedV1 *cseed, Int_t planes[4])
2805 // Calculate the probability of this track candidate.
2808 // cseeds : array of candidate tracklets
2809 // planes : array of seeding planes (see seeding configuration)
2810 // chi2 : chi2 values (on the Z and Y direction) from the rieman fit of the track.
2815 // Detailed description
2817 // The track quality is estimated based on the following 4 criteria:
2818 // 1. precision of the rieman fit on the Y direction (likea)
2819 // 2. chi2 on the Y direction (likechi2y)
2820 // 3. chi2 on the Z direction (likechi2z)
2821 // 4. number of attached clusters compared to a reference value
2822 // (see AliTRDrecoParam::fkFindable) (likeN)
2824 // The distributions for each type of probabilities are given below as of
2825 // (date). They have to be checked to assure consistency of estimation.
2828 // ratio of the total number of clusters/track which are expected to be found by the tracker.
2829 const AliTRDrecoParam *fRecoPars = fReconstructor->GetRecoParam();
2831 Double_t chi2y = GetChi2Y(&cseed[0]);
2832 Double_t chi2z = GetChi2Z(&cseed[0]);
2834 Int_t nclusters = 0;
2835 Double_t sumda = 0.;
2836 for(UChar_t ilayer = 0; ilayer < 4; ilayer++){
2837 Int_t jlayer = planes[ilayer];
2838 nclusters += cseed[jlayer].GetN2();
2839 sumda += TMath::Abs(cseed[jlayer].GetYfitR(1) - cseed[jlayer].GetYref(1));
2841 Double_t likea = TMath::Exp(-sumda * fRecoPars->GetPhiCut());
2842 Double_t likechi2y = 0.0000000001;
2843 if (fReconstructor->IsCosmic() || chi2y < 0.5) likechi2y += TMath::Exp(-TMath::Sqrt(chi2y) * fRecoPars->GetChi2YCut());
2844 Double_t likechi2z = TMath::Exp(-chi2z * fRecoPars->GetChi2ZCut());
2845 Double_t likeN = TMath::Exp(-(fRecoPars->GetMeanNclusters() - nclusters) / fRecoPars->GetSigmaNclusters());
2846 Double_t like = likea * likechi2y * likechi2z * likeN;
2848 // AliInfo(Form("sumda(%f) chi2[0](%f) chi2[1](%f) likea(%f) likechi2y(%f) likechi2z(%f) nclusters(%d) likeN(%f)", sumda, chi2[0], chi2[1], likea, likechi2y, likechi2z, nclusters, likeN));
2849 if(fReconstructor->GetStreamLevel(AliTRDReconstructor::kTracker) >= 2){
2850 Int_t eventNumber = AliTRDtrackerDebug::GetEventNumber();
2851 Int_t candidateNumber = AliTRDtrackerDebug::GetCandidateNumber();
2852 Int_t nTracklets = 0; Float_t mean_ncls = 0;
2853 for(Int_t iseed=0; iseed < kNPlanes; iseed++){
2854 if(!cseed[iseed].IsOK()) continue;
2856 mean_ncls += cseed[iseed].GetN2();
2858 if(nTracklets) mean_ncls /= nTracklets;
2859 // The Debug Stream contains the seed
2860 TTreeSRedirector &cstreamer = *fgDebugStreamer;
2861 cstreamer << "CookLikelihood"
2862 << "EventNumber=" << eventNumber
2863 << "CandidateNumber=" << candidateNumber
2864 << "tracklet0.=" << &cseed[0]
2865 << "tracklet1.=" << &cseed[1]
2866 << "tracklet2.=" << &cseed[2]
2867 << "tracklet3.=" << &cseed[3]
2868 << "tracklet4.=" << &cseed[4]
2869 << "tracklet5.=" << &cseed[5]
2870 << "sumda=" << sumda
2871 << "chi2y=" << chi2y
2872 << "chi2z=" << chi2z
2873 << "likea=" << likea
2874 << "likechi2y=" << likechi2y
2875 << "likechi2z=" << likechi2z
2876 << "nclusters=" << nclusters
2877 << "likeN=" << likeN
2879 << "meanncls=" << mean_ncls
2888 //____________________________________________________________________
2889 void AliTRDtrackerV1::GetSeedingConfig(Int_t iconfig, Int_t planes[4])
2892 // Map seeding configurations to detector planes.
2895 // iconfig : configuration index
2896 // planes : member planes of this configuration. On input empty.
2899 // planes : contains the planes which are defining the configuration
2901 // Detailed description
2903 // Here is the list of seeding planes configurations together with
2904 // their topological classification:
2922 // The topologic quality is modeled as follows:
2923 // 1. The general model is define by the equation:
2924 // p(conf) = exp(-conf/2)
2925 // 2. According to the topologic classification, configurations from the same
2926 // class are assigned the agerage value over the model values.
2927 // 3. Quality values are normalized.
2929 // The topologic quality distribution as function of configuration is given below:
2931 // <img src="gif/topologicQA.gif">
2936 case 0: // 5432 TQ 0
2942 case 1: // 4321 TQ 0
2948 case 2: // 3210 TQ 0
2954 case 3: // 5321 TQ 1
2960 case 4: // 4210 TQ 1
2966 case 5: // 5431 TQ 1
2972 case 6: // 4320 TQ 1
2978 case 7: // 5430 TQ 2
2984 case 8: // 5210 TQ 2
2990 case 9: // 5421 TQ 3
2996 case 10: // 4310 TQ 3
3002 case 11: // 5410 TQ 4
3008 case 12: // 5420 TQ 5
3014 case 13: // 5320 TQ 5
3020 case 14: // 5310 TQ 5
3029 //____________________________________________________________________
3030 void AliTRDtrackerV1::GetExtrapolationConfig(Int_t iconfig, Int_t planes[2])
3033 // Returns the extrapolation planes for a seeding configuration.
3036 // iconfig : configuration index
3037 // planes : planes which are not in this configuration. On input empty.
3040 // planes : contains the planes which are not in the configuration
3042 // Detailed description
3046 case 0: // 5432 TQ 0
3050 case 1: // 4321 TQ 0
3054 case 2: // 3210 TQ 0
3058 case 3: // 5321 TQ 1
3062 case 4: // 4210 TQ 1
3066 case 5: // 5431 TQ 1
3070 case 6: // 4320 TQ 1
3074 case 7: // 5430 TQ 2
3078 case 8: // 5210 TQ 2
3082 case 9: // 5421 TQ 3
3086 case 10: // 4310 TQ 3
3090 case 11: // 5410 TQ 4
3094 case 12: // 5420 TQ 5
3098 case 13: // 5320 TQ 5
3102 case 14: // 5310 TQ 5
3109 //____________________________________________________________________
3110 AliCluster* AliTRDtrackerV1::GetCluster(Int_t idx) const
3112 Int_t ncls = fClusters->GetEntriesFast();
3113 return idx >= 0 && idx < ncls ? (AliCluster*)fClusters->UncheckedAt(idx) : 0x0;
3116 //____________________________________________________________________
3117 AliTRDseedV1* AliTRDtrackerV1::GetTracklet(Int_t idx) const
3119 Int_t ntrklt = fTracklets->GetEntriesFast();
3120 return idx >= 0 && idx < ntrklt ? (AliTRDseedV1*)fTracklets->UncheckedAt(idx) : 0x0;
3123 //____________________________________________________________________
3124 AliKalmanTrack* AliTRDtrackerV1::GetTrack(Int_t idx) const
3126 Int_t ntrk = fTracks->GetEntriesFast();
3127 return idx >= 0 && idx < ntrk ? (AliKalmanTrack*)fTracks->UncheckedAt(idx) : 0x0;
3130 //____________________________________________________________________
3131 Float_t AliTRDtrackerV1::CalculateReferenceX(AliTRDseedV1 *tracklets){
3133 // Calculates the reference x-position for the tilted Rieman fit defined as middle
3134 // of the stack (middle between layers 2 and 3). For the calculation all the tracklets
3135 // are taken into account
3137 // Parameters: - Array of tracklets(AliTRDseedV1)
3139 // Output: - The reference x-position(Float_t)
3141 Int_t nDistances = 0;
3142 Float_t meanDistance = 0.;
3143 Int_t startIndex = 5;
3144 for(Int_t il =5; il > 0; il--){
3145 if(tracklets[il].IsOK() && tracklets[il -1].IsOK()){
3146 Float_t xdiff = tracklets[il].GetX0() - tracklets[il -1].GetX0();
3147 meanDistance += xdiff;
3150 if(tracklets[il].IsOK()) startIndex = il;
3152 if(tracklets[0].IsOK()) startIndex = 0;
3154 // We should normally never get here
3155 Float_t xpos[2]; memset(xpos, 0, sizeof(Float_t) * 2);
3156 Int_t iok = 0, idiff = 0;
3157 // This attempt is worse and should be avoided:
3158 // check for two chambers which are OK and repeat this without taking the mean value
3159 // Strategy avoids a division by 0;
3160 for(Int_t il = 5; il >= 0; il--){
3161 if(tracklets[il].IsOK()){
3162 xpos[iok] = tracklets[il].GetX0();
3166 if(iok) idiff++; // to get the right difference;
3170 meanDistance = (xpos[0] - xpos[1])/idiff;
3173 // we have do not even have 2 layers which are OK? The we do not need to fit at all
3178 meanDistance /= nDistances;
3180 return tracklets[startIndex].GetX0() + (2.5 - startIndex) * meanDistance - 0.5 * (AliTRDgeometry::AmThick() + AliTRDgeometry::DrThick());
3183 //_____________________________________________________________________________
3184 Int_t AliTRDtrackerV1::Freq(Int_t n, const Int_t *inlist
3185 , Int_t *outlist, Bool_t down)
3188 // Sort eleements according occurancy
3189 // The size of output array has is 2*n
3196 Int_t *sindexS = new Int_t[n]; // Temporary array for sorting
3197 Int_t *sindexF = new Int_t[2*n];
3198 for (Int_t i = 0; i < n; i++) {
3202 TMath::Sort(n,inlist,sindexS,down);
3204 Int_t last = inlist[sindexS[0]];
3207 sindexF[0+n] = last;
3211 for (Int_t i = 1; i < n; i++) {
3212 val = inlist[sindexS[i]];
3214 sindexF[countPos]++;
3218 sindexF[countPos+n] = val;
3219 sindexF[countPos]++;
3227 // Sort according frequency
3228 TMath::Sort(countPos,sindexF,sindexS,kTRUE);
3230 for (Int_t i = 0; i < countPos; i++) {
3231 outlist[2*i ] = sindexF[sindexS[i]+n];
3232 outlist[2*i+1] = sindexF[sindexS[i]];
3243 //____________________________________________________________________
3244 void AliTRDtrackerV1::SetReconstructor(const AliTRDReconstructor *rec)
3246 fReconstructor = rec;
3247 if(fReconstructor->GetStreamLevel(AliTRDReconstructor::kTracker) > 1){
3248 if(!fgDebugStreamer){
3249 TDirectory *savedir = gDirectory;
3250 fgDebugStreamer = new TTreeSRedirector("TRD.TrackerDebug.root");
3256 //_____________________________________________________________________________
3257 Float_t AliTRDtrackerV1::GetChi2Y(AliTRDseedV1 *tracklets) const
3259 // Chi2 definition on y-direction
3262 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
3263 if(!tracklets[ipl].IsOK()) continue;
3264 Double_t distLayer = (tracklets[ipl].GetYfit(0) - tracklets[ipl].GetYref(0));// /tracklets[ipl].GetSigmaY();
3265 chi2 += distLayer * distLayer;
3270 //____________________________________________________________________
3271 void AliTRDtrackerV1::ResetSeedTB()
3273 // reset buffer for seeding time bin layers. If the time bin
3274 // layers are not allocated this function allocates them
3276 for(Int_t isl=0; isl<kNSeedPlanes; isl++){
3277 if(!fSeedTB[isl]) fSeedTB[isl] = new AliTRDchamberTimeBin();
3278 else fSeedTB[isl]->Clear();
3282 //_____________________________________________________________________________
3283 Float_t AliTRDtrackerV1::GetChi2Z(AliTRDseedV1 *tracklets) const
3285 // Calculates normalized chi2 in z-direction
3288 // chi2 = Sum ((z - zmu)/sigma)^2
3289 // Sigma for the z direction is defined as half of the padlength
3290 for(Int_t ipl = 0; ipl < kNPlanes; ipl++){
3291 if(!tracklets[ipl].IsOK()) continue;
3292 Double_t distLayer = (tracklets[ipl].GetMeanz() - tracklets[ipl].GetZref(0)); // /(tracklets[ipl].GetPadLength()/2);
3293 chi2 += distLayer * distLayer;
3298 ///////////////////////////////////////////////////////
3300 // Resources of class AliTRDLeastSquare //
3302 ///////////////////////////////////////////////////////
3304 //_____________________________________________________________________________
3305 AliTRDtrackerV1::AliTRDLeastSquare::AliTRDLeastSquare(){
3307 // Constructor of the nested class AliTRDtrackFitterLeastSquare
3309 memset(fParams, 0, sizeof(Double_t) * 2);
3310 memset(fSums, 0, sizeof(Double_t) * 5);
3311 memset(fCovarianceMatrix, 0, sizeof(Double_t) * 3);
3315 //_____________________________________________________________________________
3316 void AliTRDtrackerV1::AliTRDLeastSquare::AddPoint(Double_t *x, Double_t y, Double_t sigmaY){
3318 // Adding Point to the fitter
3320 Double_t weight = 1/(sigmaY * sigmaY);
3322 // printf("Adding point x = %f, y = %f, sigma = %f\n", xpt, y, sigmaY);
3324 fSums[1] += weight * xpt;
3325 fSums[2] += weight * y;
3326 fSums[3] += weight * xpt * y;
3327 fSums[4] += weight * xpt * xpt;
3328 fSums[5] += weight * y * y;
3331 //_____________________________________________________________________________
3332 void AliTRDtrackerV1::AliTRDLeastSquare::RemovePoint(Double_t *x, Double_t y, Double_t sigmaY){
3334 // Remove Point from the sample
3336 Double_t weight = 1/(sigmaY * sigmaY);
3339 fSums[1] -= weight * xpt;
3340 fSums[2] -= weight * y;
3341 fSums[3] -= weight * xpt * y;
3342 fSums[4] -= weight * xpt * xpt;
3343 fSums[5] -= weight * y * y;
3346 //_____________________________________________________________________________
3347 void AliTRDtrackerV1::AliTRDLeastSquare::Eval(){
3349 // Evaluation of the fit:
3350 // Calculation of the parameters
3351 // Calculation of the covariance matrix
3354 Double_t denominator = fSums[0] * fSums[4] - fSums[1] *fSums[1];
3355 if(denominator==0) return;
3357 // for(Int_t isum = 0; isum < 5; isum++)
3358 // printf("fSums[%d] = %f\n", isum, fSums[isum]);
3359 // printf("denominator = %f\n", denominator);
3360 fParams[0] = (fSums[2] * fSums[4] - fSums[1] * fSums[3])/ denominator;
3361 fParams[1] = (fSums[0] * fSums[3] - fSums[1] * fSums[2]) / denominator;
3362 // printf("fParams[0] = %f, fParams[1] = %f\n", fParams[0], fParams[1]);
3364 // Covariance matrix
3365 fCovarianceMatrix[0] = fSums[4] - fSums[1] * fSums[1] / fSums[0];
3366 fCovarianceMatrix[1] = fSums[5] - fSums[2] * fSums[2] / fSums[0];
3367 fCovarianceMatrix[2] = fSums[3] - fSums[1] * fSums[2] / fSums[0];
3370 //_____________________________________________________________________________
3371 Double_t AliTRDtrackerV1::AliTRDLeastSquare::GetFunctionValue(Double_t *xpos) const {
3373 // Returns the Function value of the fitted function at a given x-position
3375 return fParams[0] + fParams[1] * (*xpos);
3378 //_____________________________________________________________________________
3379 void AliTRDtrackerV1::AliTRDLeastSquare::GetCovarianceMatrix(Double_t *storage) const {
3381 // Copies the values of the covariance matrix into the storage
3383 memcpy(storage, fCovarianceMatrix, sizeof(Double_t) * 3);