1 /**************************************************************************
2 * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
4 * Author: The ALICE Off-line Project. *
5 * Contributors are mentioned in the code where appropriate. *
7 * Permission to use, copy, modify and distribute this software and its *
8 * documentation strictly for non-commercial purposes is hereby granted *
9 * without fee, provided that the above copyright notice appears in all *
10 * copies and that both the copyright notice and this permission notice *
11 * appear in the supporting documentation. The authors make no claims *
12 * about the suitability of this software for any purpose. It is *
13 * provided "as is" without express or implied warranty. *
14 **************************************************************************/
18 ////////////////////////////////////////////////////////////////////////////
20 // The TRD offline tracklet
22 // The running horse of the TRD reconstruction. The following tasks are preformed:
23 // 1. Clusters attachment to tracks based on prior information stored at tracklet level (see AttachClusters)
24 // 2. Clusters position recalculation based on track information (see GetClusterXY and Fit)
25 // 3. Cluster error parametrization recalculation (see Fit)
26 // 4. Linear track approximation (Fit)
27 // 5. Optimal position (including z estimate for pad row cross tracklets) and covariance matrix of the track fit inside one TRD chamber (Fit)
28 // 6. Tilt pad correction and systematic effects (GetCovAt)
29 // 7. dEdx calculation (CookdEdx)
30 // 8. PID probabilities estimation (CookPID)
33 // Alex Bercuci <A.Bercuci@gsi.de> //
34 // Markus Fasel <M.Fasel@gsi.de> //
36 ////////////////////////////////////////////////////////////////////////////
39 #include "TTreeStream.h"
40 #include "TGraphErrors.h"
43 #include "AliMathBase.h"
44 #include "AliRieman.h"
45 #include "AliCDBManager.h"
47 #include "AliTRDReconstructor.h"
48 #include "AliTRDpadPlane.h"
49 #include "AliTRDtransform.h"
50 #include "AliTRDcluster.h"
51 #include "AliTRDseedV1.h"
52 #include "AliTRDtrackV1.h"
53 #include "AliTRDcalibDB.h"
54 #include "AliTRDchamberTimeBin.h"
55 #include "AliTRDtrackingChamber.h"
56 #include "AliTRDtrackerV1.h"
57 #include "AliTRDrecoParam.h"
58 #include "AliTRDCommonParam.h"
59 #include "AliTRDtrackletOflHelper.h"
61 #include "Cal/AliTRDCalTrkAttach.h"
62 #include "Cal/AliTRDCalPID.h"
63 #include "Cal/AliTRDCalROC.h"
64 #include "Cal/AliTRDCalDet.h"
68 ClassImp(AliTRDseedV1)
70 //____________________________________________________________________
71 AliTRDseedV1::AliTRDseedV1(Int_t det)
73 ,fkReconstructor(NULL)
98 memset(fIndexes,0xFF,kNclusters*sizeof(fIndexes[0]));
99 memset(fClusters, 0, kNclusters*sizeof(AliTRDcluster*));
100 memset(fPad, 0, 4*sizeof(Float_t));
101 fYref[0] = 0.; fYref[1] = 0.;
102 fZref[0] = 0.; fZref[1] = 0.;
103 fYfit[0] = 0.; fYfit[1] = 0.;
104 fZfit[0] = 0.; fZfit[1] = 0.;
105 memset(fdEdx, 0, kNslices*sizeof(Float_t));
106 for(int ispec=0; ispec<AliPID::kSPECIES; ispec++) fProb[ispec] = -1.;
107 fLabels[0]=-1; fLabels[1]=-1; // most freq MC labels
108 fLabels[2]=0; // number of different labels for tracklet
109 memset(fRefCov, 0, 7*sizeof(Double_t));
110 // stand alone curvature
111 fC[0] = 0.; fC[1] = 0.;
112 // covariance matrix [diagonal]
113 // default sy = 200um and sz = 2.3 cm
114 fCov[0] = 4.e-4; fCov[1] = 0.; fCov[2] = 5.3;
115 SetStandAlone(kFALSE);
118 //____________________________________________________________________
119 AliTRDseedV1::AliTRDseedV1(const AliTRDseedV1 &ref)
120 :AliTRDtrackletBase((AliTRDtrackletBase&)ref)
121 ,fkReconstructor(NULL)
144 // Copy Constructor performing a deep copy
149 SetBit(kOwner, kFALSE);
150 SetStandAlone(ref.IsStandAlone());
154 //____________________________________________________________________
155 AliTRDseedV1& AliTRDseedV1::operator=(const AliTRDseedV1 &ref)
158 // Assignment Operator using the copy function
164 SetBit(kOwner, kFALSE);
169 //____________________________________________________________________
170 AliTRDseedV1::~AliTRDseedV1()
173 // Destructor. The RecoParam object belongs to the underlying tracker.
176 //printf("I-AliTRDseedV1::~AliTRDseedV1() : Owner[%s]\n", IsOwner()?"YES":"NO");
179 for(int itb=0; itb<kNclusters; itb++){
180 if(!fClusters[itb]) continue;
181 //AliInfo(Form("deleting c %p @ %d", fClusters[itb], itb));
182 delete fClusters[itb];
183 fClusters[itb] = NULL;
188 //____________________________________________________________________
189 void AliTRDseedV1::Clear(Option_t *)
193 for(int itb=0; itb<kNclusters; itb++){
194 if(!fClusters[itb]) continue;
195 //AliInfo(Form("deleting c %p @ %d", fClusters[itb], itb));
196 delete fClusters[itb];
197 fClusters[itb] = NULL;
202 //____________________________________________________________________
203 void AliTRDseedV1::Copy(TObject &ref) const
210 AliTRDseedV1 &target = (AliTRDseedV1 &)ref;
212 target.fkReconstructor = fkReconstructor;
213 target.fClusterIter = NULL;
217 target.fS2PRF = fS2PRF;
218 target.fDiffL = fDiffL;
219 target.fDiffT = fDiffT;
220 target.fClusterIdx = 0;
221 target.fErrorMsg = fErrorMsg;
232 target.fChi2 = fChi2;
234 memcpy(target.fIndexes, fIndexes, kNclusters*sizeof(Int_t));
235 memcpy(target.fClusters, fClusters, kNclusters*sizeof(AliTRDcluster*));
236 memcpy(target.fPad, fPad, 4*sizeof(Float_t));
237 target.fYref[0] = fYref[0]; target.fYref[1] = fYref[1];
238 target.fZref[0] = fZref[0]; target.fZref[1] = fZref[1];
239 target.fYfit[0] = fYfit[0]; target.fYfit[1] = fYfit[1];
240 target.fZfit[0] = fZfit[0]; target.fZfit[1] = fZfit[1];
241 memcpy(target.fdEdx, fdEdx, kNslices*sizeof(Float_t));
242 memcpy(target.fProb, fProb, AliPID::kSPECIES*sizeof(Float_t));
243 memcpy(target.fLabels, fLabels, 3*sizeof(Int_t));
244 memcpy(target.fRefCov, fRefCov, 7*sizeof(Double_t));
245 target.fC[0] = fC[0]; target.fC[1] = fC[1];
246 memcpy(target.fCov, fCov, 3*sizeof(Double_t));
252 //____________________________________________________________
253 void AliTRDseedV1::Init(const AliRieman *rieman)
255 // Initialize this tracklet using the riemann fit information
258 fZref[0] = rieman->GetZat(fX0);
259 fZref[1] = rieman->GetDZat(fX0);
260 fYref[0] = rieman->GetYat(fX0);
261 fYref[1] = rieman->GetDYat(fX0);
262 if(fkReconstructor && fkReconstructor->IsHLT()){
266 fRefCov[0] = rieman->GetErrY(fX0);
267 fRefCov[2] = rieman->GetErrZ(fX0);
269 fC[0] = rieman->GetC();
270 fChi2 = rieman->GetChi2();
274 //____________________________________________________________
275 Bool_t AliTRDseedV1::Init(AliTRDtrackV1 *track)
277 // Initialize this tracklet using the track information
280 // track - the TRD track used to initialize the tracklet
282 // Detailed description
283 // The function sets the starting point and direction of the
284 // tracklet according to the information from the TRD track.
287 // The TRD track has to be propagated to the beginning of the
288 // chamber where the tracklet will be constructed
292 if(!track->GetProlongation(fX0, y, z)) return kFALSE;
298 //_____________________________________________________________________________
299 void AliTRDseedV1::Reset(Option_t *opt)
302 // Reset seed. If option opt="c" is given only cluster arrays are cleared.
304 for(Int_t ic=kNclusters; ic--;) fIndexes[ic] = -1;
305 memset(fClusters, 0, kNclusters*sizeof(AliTRDcluster*));
306 fN=0; SetBit(kRowCross, kFALSE);
307 if(strcmp(opt, "c")==0) return;
309 fExB=0.;fVD=0.;fT0=0.;fS2PRF=0.;
315 fdX=0.;fX0=0.; fX=0.; fY=0.; fZ=0.;
320 memset(fPad, 0, 4*sizeof(Float_t));
321 fYref[0] = 0.; fYref[1] = 0.;
322 fZref[0] = 0.; fZref[1] = 0.;
323 fYfit[0] = 0.; fYfit[1] = 0.;
324 fZfit[0] = 0.; fZfit[1] = 0.;
325 memset(fdEdx, 0, kNslices*sizeof(Float_t));
326 for(int ispec=0; ispec<AliPID::kSPECIES; ispec++) fProb[ispec] = -1.;
327 fLabels[0]=-1; fLabels[1]=-1; // most freq MC labels
328 fLabels[2]=0; // number of different labels for tracklet
329 memset(fRefCov, 0, 7*sizeof(Double_t));
330 // covariance matrix [diagonal]
331 // default sy = 200um and sz = 2.3 cm
332 fCov[0] = 4.e-4; fCov[1] = 0.; fCov[2] = 5.3;
335 //____________________________________________________________________
336 void AliTRDseedV1::Update(const AliTRDtrackV1 *trk)
338 // update tracklet reference position from the TRD track
340 Double_t fSnp = trk->GetSnp();
341 Double_t fTgl = trk->GetTgl();
343 Double_t norm =1./TMath::Sqrt((1.-fSnp)*(1.+fSnp));
344 fYref[1] = fSnp*norm;
345 fZref[1] = fTgl*norm;
346 SetCovRef(trk->GetCovariance());
348 Double_t dx = trk->GetX() - fX0;
349 fYref[0] = trk->GetY() - dx*fYref[1];
350 fZref[0] = trk->GetZ() - dx*fZref[1];
353 //_____________________________________________________________________________
354 void AliTRDseedV1::UpdateUsed()
357 // Calculate number of used clusers in the tracklet
360 Int_t nused = 0, nshared = 0;
361 for (Int_t i = kNclusters; i--; ) {
362 if (!fClusters[i]) continue;
363 if(fClusters[i]->IsUsed()){
365 } else if(fClusters[i]->IsShared()){
366 if(IsStandAlone()) nused++;
374 //_____________________________________________________________________________
375 void AliTRDseedV1::UseClusters()
380 // In stand alone mode:
381 // Clusters which are marked as used or shared from another track are
382 // removed from the tracklet
385 // - Clusters which are used by another track become shared
386 // - Clusters which are attached to a kink track become shared
388 AliTRDcluster **c = &fClusters[0];
389 for (Int_t ic=kNclusters; ic--; c++) {
392 if((*c)->IsShared() || (*c)->IsUsed()){
393 if((*c)->IsShared()) SetNShared(GetNShared()-1);
394 else SetNUsed(GetNUsed()-1);
401 if((*c)->IsUsed() || IsKink()){
412 //____________________________________________________________________
413 void AliTRDseedV1::CookdEdx(Int_t nslices)
415 // Calculates average dE/dx for all slices and store them in the internal array fdEdx.
418 // nslices : number of slices for which dE/dx should be calculated
420 // store results in the internal array fdEdx. This can be accessed with the method
421 // AliTRDseedV1::GetdEdx()
423 // Detailed description
424 // Calculates average dE/dx for all slices. Depending on the PID methode
425 // the number of slices can be 3 (LQ) or 8(NN).
426 // The calculation of dQ/dl are done using the tracklet fit results (see AliTRDseedV1::GetdQdl(Int_t))
428 // The following effects are included in the calculation:
429 // 1. calibration values for t0 and vdrift (using x coordinate to calculate slice)
430 // 2. cluster sharing (optional see AliTRDrecoParam::SetClusterSharing())
434 memset(fdEdx, 0, kNslices*sizeof(Float_t));
435 const Double_t kDriftLength = (.5 * AliTRDgeometry::AmThick() + AliTRDgeometry::DrThick());
437 AliTRDcluster *c(NULL);
438 for(int ic=0; ic<AliTRDtrackerV1::GetNTimeBins(); ic++){
439 if(!(c = fClusters[ic]) && !(c = fClusters[ic+kNtb])) continue;
440 Float_t dx = TMath::Abs(fX0 - c->GetX());
442 // Filter clusters for dE/dx calculation
444 // 1.consider calibration effects for slice determination
446 if(dx<kDriftLength){ // TODO should be replaced by c->IsInChamber()
447 slice = Int_t(dx * nslices / kDriftLength);
448 } else slice = c->GetX() < fX0 ? nslices-1 : 0;
451 // 2. take sharing into account
452 Float_t w = /*c->IsShared() ? .5 :*/ 1.;
454 // 3. take into account large clusters TODO
455 //w *= c->GetNPads() > 3 ? .8 : 1.;
458 fdEdx[slice] += w * GetdQdl(ic); //fdQdl[ic];
459 } // End of loop over clusters
462 //_____________________________________________________________________________
463 void AliTRDseedV1::CookLabels()
466 // Cook 2 labels for seed
472 for (Int_t i = 0; i < kNclusters; i++) {
473 if (!fClusters[i]) continue;
474 for (Int_t ilab = 0; ilab < 3; ilab++) {
475 if (fClusters[i]->GetLabel(ilab) >= 0) {
476 labels[nlab] = fClusters[i]->GetLabel(ilab);
482 fLabels[2] = AliMathBase::Freq(nlab,labels,out,kTRUE);
484 if ((fLabels[2] > 1) && (out[3] > 1)) fLabels[1] = out[2];
487 //____________________________________________________________
488 Float_t AliTRDseedV1::GetAnodeWireOffset(Float_t zt)
490 // Find position inside the amplification cell for reading drift velocity map
492 Float_t d = fPad[3] - zt;
494 AliError(Form("Fail AnodeWireOffset calculation z0[%+7.2f] zt[%+7.2f] d[%+7.2f].", fPad[3], zt, d));
497 d -= ((Int_t)(2 * d)) / 2.0;
498 if(d > 0.25) d = 0.5 - d;
503 //____________________________________________________________________
504 Float_t AliTRDseedV1::GetCharge(Bool_t useOutliers) const
506 // Computes total charge attached to tracklet. If "useOutliers" is set clusters
507 // which are not in chamber are also used (default false)
509 AliTRDcluster *c(NULL); Float_t qt(0.);
510 for(int ic=0; ic<kNclusters; ic++){
511 if(!(c=fClusters[ic])) continue;
512 if(!c->IsInChamber() && !useOutliers) continue;
513 qt += TMath::Abs(c->GetQ());
518 //____________________________________________________________________
519 Int_t AliTRDseedV1::GetChargeGaps(Float_t sz[kNtb], Float_t pos[kNtb], Int_t isz[kNtb]) const
521 // Find number, size and position of charge gaps (consecutive missing time bins).
522 // Returns the number of gaps and fills their size in input array "sz" and position in array "pos"
526 Int_t ipos[kNtb]; memset(isz, 0, kNtb*sizeof(Int_t));memset(ipos, 0, kNtb*sizeof(Int_t));
527 for(int ic(0); ic<kNtb; ic++){
528 if(fClusters[ic] || fClusters[ic+kNtb]){
538 // write calibrated values
540 for(Int_t igap(0); igap<n; igap++){
541 sz[igap] = isz[igap]*fVD/AliTRDCommonParam::Instance()->GetSamplingFrequency();
542 fake.SetPadTime(ipos[igap]);
543 pos[igap] = fake.GetXloc(fT0, fVD);
545 fake.SetPadTime(ipos[igap]-isz[igap]+1);
546 pos[igap] += fake.GetXloc(fT0, fVD);
554 //____________________________________________________________________
555 Bool_t AliTRDseedV1::GetEstimatedCrossPoint(Float_t &x, Float_t &z) const
557 // Algorithm to estimate cross point in the x-z plane for pad row cross tracklets.
558 // Returns true in case of success.
559 if(!IsRowCross()) return kFALSE;
562 AliTRDcluster *c(NULL);
563 // Find radial range for first row
564 Float_t x1[] = {0., 1.e3};
565 for(int ic=0; ic<kNtb; ic++){
566 if(!(c=fClusters[ic])) continue;
567 if(!c->IsInChamber()) continue;
568 if(c->GetX() <= x1[1]) x1[1] = c->GetX();
569 if(c->GetX() >= x1[0]) x1[0] = c->GetX();
572 if((x1[0] - x1[1])<1.e-5) return kFALSE;
574 // Find radial range for second row
576 Float_t x2[] = {0., 1.e3};
577 for(int ic=kNtb; ic<kNclusters; ic++){
578 if(!(c=fClusters[ic])) continue;
579 if(!c->IsInChamber()) continue;
580 if(c->GetX() <= x2[1]) x2[1] = c->GetX();
581 if(c->GetX() >= x2[0]) x2[0] = c->GetX();
588 if((x2[0] - x2[1])<1.e-5) return kFALSE;
590 // Find intersection of the 2 radial regions
591 x = 0.5*((x1[0]+x1[1] > x2[0]+x2[1]) ? (x1[1]+x2[0]) : (x1[0]+x2[1]));
595 //____________________________________________________________________
596 Float_t AliTRDseedV1::GetQperTB(Int_t tb) const
599 // Charge of the clusters at timebin
602 if(fClusters[tb] /*&& fClusters[tb]->IsInChamber()*/)
603 Q += TMath::Abs(fClusters[tb]->GetQ());
604 if(fClusters[tb+kNtb] /*&& fClusters[tb+kNtb]->IsInChamber()*/)
605 Q += TMath::Abs(fClusters[tb+kNtb]->GetQ());
606 return Q/TMath::Sqrt(1. + fYref[1]*fYref[1] + fZref[1]*fZref[1]);
609 //____________________________________________________________________
610 Float_t AliTRDseedV1::GetdQdl() const
612 // Calculate total charge / tracklet length for 1D PID
614 Float_t Q = GetCharge(kTRUE);
615 return Q/TMath::Sqrt(1. + fYref[1]*fYref[1] + fZref[1]*fZref[1]);
618 //____________________________________________________________________
619 Float_t AliTRDseedV1::GetdQdl(Int_t ic, Float_t *dl) const
621 // Using the linear approximation of the track inside one TRD chamber (TRD tracklet)
622 // the charge per unit length can be written as:
624 // #frac{dq}{dl} = #frac{q_{c}}{dx * #sqrt{1 + #(){#frac{dy}{dx}}^{2}_{fit} + #(){#frac{dz}{dx}}^{2}_{ref}}}
626 // where qc is the total charge collected in the current time bin and dx is the length
628 // The following correction are applied :
629 // - charge : pad row cross corrections
630 // [diffusion and TRF assymetry] TODO
631 // - dx : anisochronity, track inclination - see Fit and AliTRDcluster::GetXloc()
632 // and AliTRDcluster::GetYloc() for the effects taken into account
635 //<img src="TRD/trackletDQDT.gif">
637 // In the picture the energy loss measured on the tracklet as a function of drift time [left] and respectively
638 // drift length [right] for different particle species is displayed.
639 // Author : Alex Bercuci <A.Bercuci@gsi.de>
642 // check whether both clusters are inside the chamber
643 Bool_t hasClusterInChamber = kFALSE;
644 if(fClusters[ic] && fClusters[ic]->IsInChamber()){
645 hasClusterInChamber = kTRUE;
646 dq += TMath::Abs(fClusters[ic]->GetQ());
648 if(fClusters[ic+kNtb] && fClusters[ic+kNtb]->IsInChamber()){
649 hasClusterInChamber = kTRUE;
650 dq += TMath::Abs(fClusters[ic+kNtb]->GetQ());
652 if(!hasClusterInChamber) return 0.;
653 if(dq<1.e-3) return 0.;
656 if(ic-1>=0 && ic+1<kNtb){
657 Float_t x2(0.), x1(0.);
658 // try to estimate upper radial position (find the cluster which is inside the chamber)
659 if(fClusters[ic-1] && fClusters[ic-1]->IsInChamber()) x2 = fClusters[ic-1]->GetX();
660 else if(fClusters[ic-1+kNtb] && fClusters[ic-1+kNtb]->IsInChamber()) x2 = fClusters[ic-1+kNtb]->GetX();
661 else if(fClusters[ic] && fClusters[ic]->IsInChamber()) x2 = fClusters[ic]->GetX()+fdX;
662 else x2 = fClusters[ic+kNtb]->GetX()+fdX;
663 // try to estimate lower radial position (find the cluster which is inside the chamber)
664 if(fClusters[ic+1] && fClusters[ic+1]->IsInChamber()) x1 = fClusters[ic+1]->GetX();
665 else if(fClusters[ic+1+kNtb] && fClusters[ic+1+kNtb]->IsInChamber()) x1 = fClusters[ic+1+kNtb]->GetX();
666 else if(fClusters[ic] && fClusters[ic]->IsInChamber()) x1 = fClusters[ic]->GetX()-fdX;
667 else x1 = fClusters[ic+kNtb]->GetX()-fdX;
671 dx *= TMath::Sqrt(1. + fYfit[1]*fYfit[1] + fZref[1]*fZref[1]);
673 if(dx>1.e-9) return dq/dx;
677 //____________________________________________________________
678 Float_t AliTRDseedV1::GetMomentum(Float_t *err) const
680 // Returns momentum of the track after update with the current tracklet as:
682 // p=#frac{1}{1/p_{t}} #sqrt{1+tgl^{2}}
684 // and optionally the momentum error (if err is not null).
685 // The estimated variance of the momentum is given by:
687 // #sigma_{p}^{2} = (#frac{dp}{dp_{t}})^{2} #sigma_{p_{t}}^{2}+(#frac{dp}{dtgl})^{2} #sigma_{tgl}^{2}+2#frac{dp}{dp_{t}}#frac{dp}{dtgl} cov(tgl,1/p_{t})
689 // which can be simplified to
691 // #sigma_{p}^{2} = p^{2}p_{t}^{4}tgl^{2}#sigma_{tgl}^{2}-2p^{2}p_{t}^{3}tgl cov(tgl,1/p_{t})+p^{2}p_{t}^{2}#sigma_{1/p_{t}}^{2}
695 Double_t p = fPt*TMath::Sqrt(1.+fZref[1]*fZref[1]);
697 Double_t tgl2 = fZref[1]*fZref[1];
698 Double_t pt2 = fPt*fPt;
701 p2*tgl2*pt2*pt2*fRefCov[4]
702 -2.*p2*fZref[1]*fPt*pt2*fRefCov[5]
704 (*err) = TMath::Sqrt(s2);
710 //____________________________________________________________________
711 Int_t AliTRDseedV1::GetTBoccupancy() const
713 // Returns no. of TB occupied by clusters
716 for(int ic(0); ic<kNtb; ic++){
717 if(!fClusters[ic] && !fClusters[ic+kNtb]) continue;
723 //____________________________________________________________________
724 Int_t AliTRDseedV1::GetTBcross() const
726 // Returns no. of TB occupied by 2 clusters for pad row cross tracklets
728 if(!IsRowCross()) return 0;
730 for(int ic(0); ic<kNtb; ic++){
731 if(fClusters[ic] && fClusters[ic+kNtb]) n++;
736 //____________________________________________________________________
737 Float_t* AliTRDseedV1::GetProbability(Bool_t force)
739 if(!force) return &fProb[0];
740 if(!CookPID()) return NULL;
744 //____________________________________________________________
745 Bool_t AliTRDseedV1::CookPID()
747 // Fill probability array for tracklet from the DB.
752 // returns pointer to the probability array and NULL if missing DB access
754 // Retrieve PID probabilities for e+-, mu+-, K+-, pi+- and p+- from the DB according to tracklet information:
755 // - estimated momentum at tracklet reference point
756 // - dE/dx measurements
759 // According to the steering settings specified in the reconstruction one of the following methods are used
760 // - Neural Network [default] - option "nn"
761 // - 2D Likelihood - option "!nn"
763 AliTRDcalibDB *calibration = AliTRDcalibDB::Instance();
765 AliError("No access to calibration data");
769 if (!fkReconstructor) {
770 AliError("Reconstructor not set.");
774 // Retrieve the CDB container class with the parametric detector response
775 const AliTRDCalPID *pd = calibration->GetPIDObject(fkReconstructor->GetPIDMethod());
777 AliError("No access to AliTRDCalPID object");
781 // calculate tracklet length TO DO
782 Float_t length = (AliTRDgeometry::AmThick() + AliTRDgeometry::DrThick())/ TMath::Sqrt((1.0 - GetSnp()*GetSnp()) / (1.0 + GetTgl()*GetTgl()));
785 CookdEdx(AliTRDCalPID::kNSlicesNN);
786 AliDebug(4, Form("p=%6.4f[GeV/c] dEdx{%7.2f %7.2f %7.2f %7.2f %7.2f %7.2f %7.2f %7.2f} l=%4.2f[cm]", GetMomentum(), fdEdx[0], fdEdx[1], fdEdx[2], fdEdx[3], fdEdx[4], fdEdx[5], fdEdx[6], fdEdx[7], length));
788 // Sets the a priori probabilities
789 Bool_t kPIDNN(fkReconstructor->GetPIDMethod()==AliTRDpidUtil::kNN);
790 for(int ispec=0; ispec<AliPID::kSPECIES; ispec++)
791 fProb[ispec] = pd->GetProbability(ispec, GetMomentum(), &fdEdx[0], length, kPIDNN?GetPlane():fkReconstructor->GetRecoParam()->GetPIDLQslices());
796 //____________________________________________________________________
797 Float_t AliTRDseedV1::GetQuality(Bool_t kZcorr) const
800 // Returns a quality measurement of the current seed
803 Float_t zcorr = kZcorr ? GetTilt() * (fZfit[0] - fZref[0]) : 0.;
805 .5 * TMath::Abs(18.0 - GetN())
806 + 10.* TMath::Abs(fYfit[1] - fYref[1])
807 + 5. * TMath::Abs(fYfit[0] - fYref[0] + zcorr)
808 + 2. * TMath::Abs(fZfit[0] - fZref[0]) / GetPadLength();
811 //____________________________________________________________________
812 void AliTRDseedV1::GetCovAt(Double_t x, Double_t *cov) const
814 // Computes covariance in the y-z plane at radial point x (in tracking coordinates)
815 // and returns the results in the preallocated array cov[3] as :
822 // For the linear transformation
826 // The error propagation has the general form
828 // C_{Y} = T_{x} C_{X} T_{x}^{T}
830 // We apply this formula 2 times. First to calculate the covariance of the tracklet
831 // at point x we consider:
833 // T_{x} = (1 x); X=(y0 dy/dx); C_{X}=#(){#splitline{Var(y0) Cov(y0, dy/dx)}{Cov(y0, dy/dx) Var(dy/dx)}}
835 // and secondly to take into account the tilt angle
837 // T_{#alpha} = #(){#splitline{cos(#alpha) __ sin(#alpha)}{-sin(#alpha) __ cos(#alpha)}}; X=(y z); C_{X}=#(){#splitline{Var(y) 0}{0 Var(z)}}
840 // using simple trigonometrics one can write for this last case
842 // C_{Y}=#frac{1}{1+tg^{2}#alpha} #(){#splitline{(#sigma_{y}^{2}+tg^{2}#alpha#sigma_{z}^{2}) __ tg#alpha(#sigma_{z}^{2}-#sigma_{y}^{2})}{tg#alpha(#sigma_{z}^{2}-#sigma_{y}^{2}) __ (#sigma_{z}^{2}+tg^{2}#alpha#sigma_{y}^{2})}}
844 // which can be aproximated for small alphas (2 deg) with
846 // C_{Y}=#(){#splitline{#sigma_{y}^{2} __ (#sigma_{z}^{2}-#sigma_{y}^{2})tg#alpha}{((#sigma_{z}^{2}-#sigma_{y}^{2})tg#alpha __ #sigma_{z}^{2}}}
849 // before applying the tilt rotation we also apply systematic uncertainties to the tracklet
850 // position which can be tunned from outside via the AliTRDrecoParam::SetSysCovMatrix(). They might
851 // account for extra misalignment/miscalibration uncertainties.
854 // Alex Bercuci <A.Bercuci@gsi.de>
855 // Date : Jan 8th 2009
860 Double_t sy2 = fCov[0] +2.*xr*fCov[1] + xr*xr*fCov[2];
862 //GetPadLength()*GetPadLength()/12.;
864 // insert systematic uncertainties
866 Double_t sys[15]; memset(sys, 0, 15*sizeof(Double_t));
867 fkReconstructor->GetRecoParam()->GetSysCovMatrix(sys);
872 // rotate covariance matrix if no RC
874 Double_t t2 = GetTilt()*GetTilt();
875 Double_t correction = 1./(1. + t2);
876 cov[0] = (sy2+t2*sz2)*correction;
877 cov[1] = GetTilt()*(sz2 - sy2)*correction;
878 cov[2] = (t2*sy2+sz2)*correction;
880 cov[0] = sy2; cov[1] = 0.; cov[2] = sy2;
883 AliDebug(4, Form("C(%6.1f %+6.3f %6.1f) RC[%c]", 1.e4*TMath::Sqrt(cov[0]), cov[1], 1.e4*TMath::Sqrt(cov[2]), IsRowCross()?'y':'n'));
886 //____________________________________________________________
887 Int_t AliTRDseedV1::GetCovSqrt(const Double_t * const c, Double_t *d)
889 // Helper function to calculate the square root of the covariance matrix.
890 // The input matrix is stored in the vector c and the result in the vector d.
891 // Both arrays have to be initialized by the user with at least 3 elements. Return negative in case of failure.
893 // For calculating the square root of the symmetric matrix c
894 // the following relation is used:
896 // C^{1/2} = VD^{1/2}V^{-1}
898 // with V being the matrix with the n eigenvectors as columns.
899 // In case C is symmetric the followings are true:
900 // - matrix D is diagonal with the diagonal given by the eigenvalues of C
903 // Author A.Bercuci <A.Bercuci@gsi.de>
906 const Double_t kZero(1.e-20);
907 Double_t l[2], // eigenvalues
908 v[3]; // eigenvectors
909 // the secular equation and its solution :
910 // (c[0]-L)(c[2]-L)-c[1]^2 = 0
911 // L^2 - L*Tr(c)+DET(c) = 0
912 // L12 = [Tr(c) +- sqrt(Tr(c)^2-4*DET(c))]/2
913 Double_t tr = c[0]+c[2], // trace
914 det = c[0]*c[2]-c[1]*c[1]; // determinant
915 if(TMath::Abs(det)<kZero) return 1;
916 Double_t dd = TMath::Sqrt(tr*tr - 4*det);
917 l[0] = .5*(tr + dd*(c[0]>c[2]?-1.:1.));
918 l[1] = .5*(tr + dd*(c[0]>c[2]?1.:-1.));
919 if(l[0]<kZero || l[1]<kZero) return 2;
923 Double_t den = (l[0]-c[0])*(l[0]-c[0])+c[1]*c[1];
924 if(den<kZero){ // almost diagonal
925 v[0] = TMath::Sign(0., c[1]);
926 v[1] = TMath::Sign(1., (l[0]-c[0]));
927 v[2] = TMath::Sign(0., c[1]*(l[0]-c[0])*(l[1]-c[2]));
929 Double_t tmp = 1./TMath::Sqrt(den);
931 v[1] = (l[0]-c[0])*tmp;
932 if(TMath::Abs(l[1]-c[2])<kZero) v[2] = TMath::Sign(v[0]*(l[0]-c[0])/kZero, (l[1]-c[2]));
933 else v[2] = v[0]*(l[0]-c[0])/(l[1]-c[2]);
936 l[0] = TMath::Sqrt(l[0]); l[1] = TMath::Sqrt(l[1]);
937 d[0] = v[0]*v[0]*l[0]+v[1]*v[1]*l[1];
938 d[1] = v[0]*v[1]*l[0]+v[1]*v[2]*l[1];
939 d[2] = v[1]*v[1]*l[0]+v[2]*v[2]*l[1];
944 //____________________________________________________________
945 Double_t AliTRDseedV1::GetCovInv(const Double_t * const c, Double_t *d)
947 // Helper function to calculate the inverse of the covariance matrix.
948 // The input matrix is stored in the vector c and the result in the vector d.
949 // Both arrays have to be initialized by the user with at least 3 elements
950 // The return value is the determinant or 0 in case of singularity.
952 // Author A.Bercuci <A.Bercuci@gsi.de>
955 Double_t det = c[0]*c[2] - c[1]*c[1];
956 if(TMath::Abs(det)<1.e-20) return 0.;
957 Double_t invDet = 1./det;
964 //____________________________________________________________________
965 UShort_t AliTRDseedV1::GetVolumeId() const
967 // Returns geometry volume id by delegation
969 for(Int_t ic(0);ic<kNclusters; ic++){
970 if(fClusters[ic]) return fClusters[ic]->GetVolumeId();
976 //____________________________________________________________________
977 void AliTRDseedV1::Calibrate()
979 // Retrieve calibration and position parameters from OCDB.
980 // The following information are used
982 // - column and row position of first attached cluster. If no clusters are attached
983 // to the tracklet a random central chamber position (c=70, r=7) will be used.
985 // The following information is cached in the tracklet
986 // t0 (trigger delay)
989 // omega*tau = tg(a_L)
990 // diffusion coefficients (longitudinal and transversal)
993 // Alex Bercuci <A.Bercuci@gsi.de>
994 // Date : Jan 8th 2009
997 AliCDBManager *cdb = AliCDBManager::Instance();
998 if(cdb->GetRun() < 0){
999 AliError("OCDB manager not properly initialized");
1003 AliTRDcalibDB *calib = AliTRDcalibDB::Instance();
1004 AliTRDCalROC *vdROC = calib->GetVdriftROC(fDet),
1005 *t0ROC = calib->GetT0ROC(fDet);;
1006 const AliTRDCalDet *vdDet = calib->GetVdriftDet();
1007 const AliTRDCalDet *t0Det = calib->GetT0Det();
1009 Int_t col = 70, row = 7;
1010 AliTRDcluster **c = &fClusters[0];
1013 while (ic<kNclusters && !(*c)){ic++; c++;}
1015 col = (*c)->GetPadCol();
1016 row = (*c)->GetPadRow();
1020 fT0 = (t0Det->GetValue(fDet) + t0ROC->GetValue(col,row)) / AliTRDCommonParam::Instance()->GetSamplingFrequency();
1021 fVD = vdDet->GetValue(fDet) * vdROC->GetValue(col, row);
1022 fS2PRF = calib->GetPRFWidth(fDet, col, row); fS2PRF *= fS2PRF;
1023 fExB = AliTRDCommonParam::Instance()->GetOmegaTau(fVD);
1024 AliTRDCommonParam::Instance()->GetDiffCoeff(fDiffL,
1026 AliDebug(4, Form("Calibration params for Det[%3d] Col[%3d] Row[%2d]\n t0[%f] vd[%f] s2PRF[%f] ExB[%f] Dl[%f] Dt[%f]", fDet, col, row, fT0, fVD, fS2PRF, fExB, fDiffL, fDiffT));
1029 SetBit(kCalib, kTRUE);
1032 //____________________________________________________________________
1033 void AliTRDseedV1::SetOwner()
1035 //AliInfo(Form("own [%s] fOwner[%s]", own?"YES":"NO", fOwner?"YES":"NO"));
1037 if(TestBit(kOwner)) return;
1038 for(int ic=0; ic<kNclusters; ic++){
1039 if(!fClusters[ic]) continue;
1040 fClusters[ic] = new AliTRDcluster(*fClusters[ic]);
1045 //____________________________________________________________
1046 void AliTRDseedV1::SetPadPlane(AliTRDpadPlane * const p)
1048 // Shortcut method to initialize pad geometry.
1049 fPad[0] = p->GetLengthIPad();
1050 fPad[1] = p->GetWidthIPad();
1051 fPad[2] = TMath::Tan(TMath::DegToRad()*p->GetTiltingAngle());
1052 fPad[3] = p->GetRow0() + p->GetAnodeWireOffset();
1057 //____________________________________________________________________
1058 Bool_t AliTRDseedV1::AttachClusters(AliTRDtrackingChamber *const chamber, Bool_t tilt, Bool_t chgPos, Int_t ev)
1061 // Projective algorithm to attach clusters to seeding tracklets. The following steps are performed :
1062 // 1. Collapse x coordinate for the full detector plane
1063 // 2. truncated mean on y (r-phi) direction
1064 // 3. purge clusters
1065 // 4. truncated mean on z direction
1066 // 5. purge clusters
1069 // - chamber : pointer to tracking chamber container used to search the tracklet
1070 // - tilt : switch for tilt correction during road building [default true]
1071 // - chgPos : mark same[kFALSE] and opposite[kTRUE] sign tracks with respect to Bz field sign [default true]
1072 // - ev : event number for debug purposes [default = -1]
1074 // - true : if tracklet found successfully. Failure can happend because of the following:
1076 // Detailed description
1078 // We start up by defining the track direction in the xy plane and roads. The roads are calculated based
1079 // on tracking information (variance in the r-phi direction) and estimated variance of the standard
1080 // clusters (see AliTRDcluster::SetSigmaY2()) corrected for tilt (see GetCovAt()). From this the road is
1082 // r_{y} = 3*#sqrt{12*(#sigma^{2}_{Trk}(y) + #frac{#sigma^{2}_{cl}(y) + tg^{2}(#alpha_{L})#sigma^{2}_{cl}(z)}{1+tg^{2}(#alpha_{L})})}
1083 // r_{z} = 1.5*L_{pad}
1086 // Author : Alexandru Bercuci <A.Bercuci@gsi.de>
1087 // Debug : level = 2 for calibration
1088 // level = 3 for visualization in the track SR
1089 // level = 4 for full visualization including digit level
1091 const AliTRDrecoParam* const recoParam = fkReconstructor->GetRecoParam(); //the dynamic cast in GetRecoParam is slow, so caching the pointer to it
1094 AliError("Tracklets can not be used without a valid RecoParam.");
1097 AliTRDcalibDB *calibration = AliTRDcalibDB::Instance();
1099 AliError("No access to calibration data");
1102 // Retrieve the CDB container class with the parametric likelihood
1103 const AliTRDCalTrkAttach *attach = calibration->GetAttachObject();
1105 AliError("No usable AttachClusters calib object.");
1109 // Initialize reco params for this tracklet
1110 // 1. first time bin in the drift region
1112 Int_t kClmin = Int_t(recoParam->GetFindableClusters()*AliTRDtrackerV1::GetNTimeBins());
1115 Double_t sysCov[5]; recoParam->GetSysCovMatrix(sysCov);
1116 Double_t s2yTrk= fRefCov[0],
1118 s2zCl = GetPadLength()*GetPadLength()/12.,
1119 syRef = TMath::Sqrt(s2yTrk),
1120 t2 = GetTilt()*GetTilt();
1122 const Double_t kroady = 3.; //recoParam->GetRoad1y();
1123 const Double_t kroadz = GetPadLength() * recoParam->GetRoadzMultiplicator() + 1.;
1124 // define probing cluster (the perfect cluster) and default calibration
1125 Short_t sig[] = {0, 0, 10, 30, 10, 0,0};
1126 AliTRDcluster cp(fDet, 6, 75, 0, sig, 0);
1127 if(fkReconstructor->IsHLT()) cp.SetRPhiMethod(AliTRDcluster::kCOG);
1128 if(!IsCalibrated()) Calibrate();
1130 /* Int_t kroadyShift(0);
1131 Float_t bz(AliTrackerBase::GetBz());
1132 if(TMath::Abs(bz)>2.){
1133 if(bz<0.) kroadyShift = chgPos ? +1 : -1;
1134 else kroadyShift = chgPos ? -1 : +1;
1136 AliDebug(4, Form("\n syTrk[cm]=%4.2f dydxTrk[deg]=%+6.2f Chg[%c] rY[cm]=%4.2f rZ[cm]=%5.2f TC[%c]", syRef, TMath::ATan(fYref[1])*TMath::RadToDeg(), chgPos?'+':'-', kroady, kroadz, tilt?'y':'n'));
1137 Double_t phiTrk(TMath::ATan(fYref[1])),
1138 thtTrk(TMath::ATan(fZref[1]));
1140 // working variables
1141 const Int_t kNrows = 16;
1142 const Int_t kNcls = 3*kNclusters; // buffer size
1143 TObjArray clst[kNrows];
1144 Bool_t blst[kNrows][kNcls];
1149 xres[kNrows][kNcls], yres[kNrows][kNcls], zres[kNrows][kNcls], s2y[kNrows][kNcls];
1150 Int_t idxs[kNrows][kNcls], ncl[kNrows], ncls = 0;
1151 memset(ncl, 0, kNrows*sizeof(Int_t));
1152 memset(zc, 0, kNrows*sizeof(Double_t));
1153 memset(idxs, 0, kNrows*kNcls*sizeof(Int_t));
1154 memset(xres, 0, kNrows*kNcls*sizeof(Double_t));
1155 memset(yres, 0, kNrows*kNcls*sizeof(Double_t));
1156 memset(zres, 0, kNrows*kNcls*sizeof(Double_t));
1157 memset(s2y, 0, kNrows*kNcls*sizeof(Double_t));
1158 memset(blst, 0, kNrows*kNcls*sizeof(Bool_t)); //this is 8 times faster to memset than "memset(clst, 0, kNrows*kNcls*sizeof(AliTRDcluster*))"
1160 Double_t roady(0.), s2Mean(0.), sMean(0.); Int_t ns2Mean(0);
1162 // Do cluster projection and pick up cluster candidates
1163 AliTRDcluster *c(NULL);
1164 AliTRDchamberTimeBin *layer(NULL);
1165 Bool_t kBUFFER = kFALSE;
1166 for (Int_t it = 0; it < kNtb; it++) {
1167 if(!(layer = chamber->GetTB(it))) continue;
1168 if(!Int_t(*layer)) continue;
1169 // get track projection at layers position
1170 dx = fX0 - layer->GetX();
1171 yt = fYref[0] - fYref[1] * dx;
1172 zt = fZref[0] - fZref[1] * dx;
1173 // get standard cluster error corrected for tilt if selected
1174 cp.SetLocalTimeBin(it);
1175 cp.SetSigmaY2(0.02, fDiffT, fExB, dx, -1./*zt*/, fYref[1]);
1176 s2yCl = cp.GetSigmaY2() + sysCov[0]; if(!tilt) s2yCl = (s2yCl + t2*s2zCl)/(1.+t2);
1177 if(TMath::Abs(it-12)<7){ s2Mean += cp.GetSigmaY2(); ns2Mean++;}
1178 // get estimated road in r-phi direction
1179 roady = TMath::Min(3.*TMath::Sqrt(12.*(s2yTrk + s2yCl)), kroady);
1181 AliDebug(5, Form("\n"
1182 " %2d xd[cm]=%6.3f yt[cm]=%7.2f zt[cm]=%8.2f\n"
1183 " syTrk[um]=%6.2f syCl[um]=%6.2f syClTlt[um]=%6.2f\n"
1186 , 1.e4*TMath::Sqrt(s2yTrk), 1.e4*TMath::Sqrt(cp.GetSigmaY2()+sysCov[0]), 1.e4*TMath::Sqrt(s2yCl)
1189 // get clusters from layer
1190 cond[0] = yt/*+0.5*kroadyShift*kroady*/; cond[2] = roady;
1191 cond[1] = zt; cond[3] = kroadz;
1192 Int_t n=0, idx[6]; layer->GetClusters(cond, idx, n, 6);
1193 for(Int_t ic = n; ic--;){
1194 c = (*layer)[idx[ic]];
1195 dx = fX0 - c->GetX();
1196 yt = fYref[0] - fYref[1] * dx;
1197 zt = fZref[0] - fZref[1] * dx;
1198 dz = zt - c->GetZ();
1199 dy = yt - (c->GetY() + (tilt ? (GetTilt() * dz) : 0.));
1200 Int_t r = c->GetPadRow();
1201 clst[r].AddAtAndExpand(c, ncl[r]);
1202 blst[r][ncl[r]] = kTRUE;
1203 idxs[r][ncl[r]] = idx[ic];
1204 zres[r][ncl[r]] = dz/GetPadLength();
1205 yres[r][ncl[r]] = dy;
1206 xres[r][ncl[r]] = dx;
1208 // TODO temporary solution to avoid divercences in error parametrization
1209 s2y[r][ncl[r]] = TMath::Min(c->GetSigmaY2()+sysCov[0], 0.025);
1210 AliDebug(5, Form(" -> dy[cm]=%+7.4f yc[cm]=%7.2f row[%d] idx[%2d]", dy, c->GetY(), r, ncl[r]));
1213 if(ncl[r] >= kNcls) {
1214 AliWarning(Form("Cluster candidates row[%d] reached buffer limit[%d]. Some may be lost.", r, kNcls));
1222 AliDebug(1, Form("CLUSTERS FOUND %d LESS THAN THRESHOLD %d.", ncls, kClmin));
1223 SetErrorMsg(kAttachClFound);
1224 for(Int_t ir(kNrows);ir--;) clst[ir].Clear();
1228 AliDebug(1, Form("CLUSTERS IN TimeBins %d LESS THAN THRESHOLD %d.", ns2Mean, kTBmin));
1229 SetErrorMsg(kAttachClFound);
1230 for(Int_t ir(kNrows);ir--;) clst[ir].Clear();
1233 s2Mean /= ns2Mean; sMean = TMath::Sqrt(s2Mean);
1234 //Double_t sRef(TMath::Sqrt(s2Mean+s2yTrk)); // reference error parameterization
1236 // organize row candidates
1237 Int_t idxRow[kNrows], nrc(0); Double_t zresRow[kNrows];
1238 for(Int_t ir(0); ir<kNrows; ir++){
1239 idxRow[ir]=-1; zresRow[ir] = 999.;
1240 if(!ncl[ir]) continue;
1241 // get mean z resolution
1242 dz = 0.; for(Int_t ic = ncl[ir]; ic--;) dz += zres[ir][ic]; dz/=ncl[ir];
1244 idxRow[nrc] = ir; zresRow[nrc] = TMath::Abs(dz); nrc++;
1246 AliDebug(4, Form("Found %d clusters in %d rows. Sorting ...", ncls, nrc));
1248 // sort row candidates
1251 if(zresRow[0]>zresRow[1]){ // swap
1252 Int_t itmp=idxRow[1]; idxRow[1] = idxRow[0]; idxRow[0] = itmp;
1253 Double_t dtmp=zresRow[1]; zresRow[1] = zresRow[0]; zresRow[0] = dtmp;
1255 if(TMath::Abs(idxRow[1] - idxRow[0]) != 1){
1256 SetErrorMsg(kAttachRowGap);
1257 AliDebug(2, Form("Rows attached not continuous. Select first candidate.\n"
1258 " row[%2d] Ncl[%2d] <dz>[cm]=%+8.2f row[%2d] Ncl[%2d] <dz>[cm]=%+8.2f",
1259 idxRow[0], ncl[idxRow[0]], zresRow[0], idxRow[1], idxRow[1]<0?0:ncl[idxRow[1]], zresRow[1]));
1260 nrc=1; idxRow[1] = -1; zresRow[1] = 999.;
1264 TMath::Sort(nrc, zresRow, idx0, kFALSE);
1265 nrc = 3; // select only maximum first 3 candidates
1266 Int_t iatmp[] = {-1, -1, -1}; Double_t datmp[] = {999., 999., 999.};
1267 for(Int_t irc(0); irc<nrc; irc++){
1268 iatmp[irc] = idxRow[idx0[irc]];
1269 datmp[irc] = zresRow[idx0[irc]];
1271 idxRow[0] = iatmp[0]; zresRow[0] = datmp[0];
1272 idxRow[1] = iatmp[1]; zresRow[1] = datmp[1];
1273 idxRow[2] = iatmp[2]; zresRow[2] = datmp[2]; // temporary
1274 if(TMath::Abs(idxRow[1] - idxRow[0]) != 1){
1275 SetErrorMsg(kAttachRowGap);
1276 AliDebug(2, Form("Rows attached not continuous. Turn on selection.\n"
1277 "row[%2d] Ncl[%2d] <dz>[cm]=%+8.2f\n"
1278 "row[%2d] Ncl[%2d] <dz>[cm]=%+8.2f\n"
1279 "row[%2d] Ncl[%2d] <dz>[cm]=%+8.2f",
1280 idxRow[0], ncl[idxRow[0]], zresRow[0],
1281 idxRow[1], ncl[idxRow[1]], zresRow[1],
1282 idxRow[2], ncl[idxRow[2]], zresRow[2]));
1283 if(TMath::Abs(idxRow[0] - idxRow[2]) == 1){ // select second candidate
1284 AliDebug(2, "Solved ! Remove second candidate.");
1286 idxRow[1] = idxRow[2]; zresRow[1] = zresRow[2]; // swap
1287 idxRow[2] = -1; zresRow[2] = 999.; // remove
1288 } else if(TMath::Abs(idxRow[1] - idxRow[2]) == 1){
1289 if(ncl[idxRow[1]]+ncl[idxRow[2]] > ncl[idxRow[0]]){
1290 AliDebug(2, "Solved ! Remove first candidate.");
1292 idxRow[0] = idxRow[1]; zresRow[0] = zresRow[1]; // swap
1293 idxRow[1] = idxRow[2]; zresRow[1] = zresRow[2]; // swap
1295 AliDebug(2, "Solved ! Remove second and third candidate.");
1297 idxRow[1] = -1; zresRow[1] = 999.; // remove
1298 idxRow[2] = -1; zresRow[2] = 999.; // remove
1301 AliDebug(2, "Unsolved !!! Remove second and third candidate.");
1303 idxRow[1] = -1; zresRow[1] = 999.; // remove
1304 idxRow[2] = -1; zresRow[2] = 999.; // remove
1306 } else { // remove temporary candidate
1308 idxRow[2] = -1; zresRow[2] = 999.;
1312 AliDebug(4, Form("Sorted row candidates:\n"
1313 " row[%2d] Ncl[%2d] <dz>[cm]=%+8.2f row[%2d] Ncl[%2d] <dz>[cm]=%+8.2f"
1314 , idxRow[0], ncl[idxRow[0]], zresRow[0], idxRow[1], idxRow[1]<0?0:ncl[idxRow[1]], zresRow[1]));
1316 // initialize debug streamer
1317 TTreeSRedirector *pstreamer(NULL);
1318 if(recoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 3 && fkReconstructor->IsDebugStreaming()) pstreamer = fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
1320 // save config. for calibration
1321 TVectorD vdy[2], vdx[2], vs2[2];
1322 for(Int_t jr(0); jr<nrc; jr++){
1323 Int_t ir(idxRow[jr]);
1324 vdx[jr].ResizeTo(ncl[ir]); vdy[jr].ResizeTo(ncl[ir]); vs2[jr].ResizeTo(ncl[ir]);
1325 for(Int_t ic(ncl[ir]); ic--;){
1326 vdx[jr](ic) = xres[ir][ic];
1327 vdy[jr](ic) = yres[ir][ic];
1328 vs2[jr](ic) = s2y[ir][ic];
1331 (*pstreamer) << "AttachClusters4"
1332 << "r0=" << idxRow[0]
1333 << "dz0=" << zresRow[0]
1334 << "dx0=" << &vdx[0]
1335 << "dy0=" << &vdy[0]
1336 << "s20=" << &vs2[0]
1337 << "r1=" << idxRow[1]
1338 << "dz1=" << zresRow[1]
1339 << "dx1=" << &vdx[1]
1340 << "dy1=" << &vdy[1]
1341 << "s21=" << &vs2[1]
1343 vdx[0].Clear(); vdy[0].Clear(); vs2[0].Clear();
1344 vdx[1].Clear(); vdy[1].Clear(); vs2[1].Clear();
1345 if(recoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 4){
1346 Int_t idx(idxRow[1]);
1348 for(Int_t ir(0); ir<kNrows; ir++){
1349 if(clst[ir].GetEntries()>0) continue;
1354 (*pstreamer) << "AttachClusters5"
1355 << "c0.=" << &clst[idxRow[0]]
1356 << "c1.=" << &clst[idx]
1361 //=======================================================================================
1362 // Analyse cluster topology
1363 Double_t f[kNcls], // likelihood factors for segments
1364 r[2][kNcls], // d(dydx) of tracklet candidate with respect to track
1365 xm[2][kNcls], // mean <x>
1366 ym[2][kNcls], // mean <y>
1367 sm[2][kNcls], // mean <s_y>
1368 s[2][kNcls], // sigma_y
1369 p[2][kNcls], // prob of Gauss
1370 q[2][kNcls]; // charge/segment
1371 memset(f, 0, kNcls*sizeof(Double_t));
1372 Int_t index[2][kNcls], n[2][kNcls];
1373 memset(n, 0, 2*kNcls*sizeof(Int_t));
1374 Int_t mts(0), nts[2] = {0, 0}; // no of tracklet segments in row
1375 AliTRDpadPlane *pp(AliTRDtransform::Geometry().GetPadPlane(fDet));
1376 AliTRDtrackletOflHelper helper;
1377 Int_t lyDet(AliTRDgeometry::GetLayer(fDet));
1378 for(Int_t jr(0), n0(0); jr<nrc; jr++){
1379 Int_t ir(idxRow[jr]);
1380 // cluster segmentation
1381 Bool_t kInit(kFALSE);
1383 n0 = helper.Init(pp, &clst[ir]); kInit = kTRUE;
1384 if(!n0 || (helper.ClassifyTopology() == AliTRDtrackletOflHelper::kNormal)){
1385 nts[jr] = 1; memset(index[jr], 0, ncl[ir]*sizeof(Int_t));
1390 nts[jr] = AliTRDtrackletOflHelper::Segmentation(ncl[ir], xres[ir], yres[ir], index[jr]);
1391 for(Int_t ic(ncl[ir]);ic--;) n[jr][index[jr][ic]]++;
1395 // tracklet segment processing
1396 for(Int_t its(0); its<nts[jr]; its++){
1397 if(n[jr][its]<=2) { // don't touch small segments
1398 xm[jr][its] = 0.;ym[jr][its] = 0.;sm[jr][its] = 0.;
1399 for(Int_t ic(ncl[ir]); ic--;){
1400 if(its != index[jr][ic]) continue;
1401 ym[jr][its] += yres[ir][ic];
1402 xm[jr][its] += xres[ir][ic];
1403 sm[jr][its] += TMath::Sqrt(s2y[ir][ic]);
1405 if(n[jr][its]==2){ xm[jr][its] *= 0.5; ym[jr][its] *= 0.5; sm[jr][its] *= 0.5;}
1406 xm[jr][its]= fX0 - xm[jr][its];
1414 // for longer tracklet segments
1415 if(!kInit) n0 = helper.Init(pp, &clst[ir], index[jr], its);
1416 Int_t n1 = helper.GetRMS(r[jr][its], ym[jr][its], s[jr][its], fX0/*xm[jr][its]*/);
1417 p[jr][its] = Double_t(n1)/n0;
1418 sm[jr][its] = helper.GetSyMean();
1419 q[jr][its] = helper.GetQ()/TMath::Sqrt(1. + fYref[1]*fYref[1] + fZref[1]*fZref[1]);
1421 Double_t dxm= fX0 - xm[jr][its];
1422 yt = fYref[0] - fYref[1]*dxm;
1423 zt = fZref[0] - fZref[1]*dxm;
1424 // correct tracklet fit for tilt
1425 ym[jr][its]+= GetTilt()*(zt - zc[ir]);
1426 r[jr][its] += GetTilt() * fZref[1];
1427 // correct tracklet fit for track position/inclination
1428 ym[jr][its] = yt - ym[jr][its];
1429 r[jr][its] = (r[jr][its] - fYref[1])/(1+r[jr][its]*fYref[1]);
1430 // report inclination in radians
1431 r[jr][its] = TMath::ATan(r[jr][its]);
1432 if(jr) continue; // calculate only for first row likelihoods
1434 f[its] = attach->CookLikelihood(chgPos, lyDet, fPt, phiTrk, n[jr][its], ym[jr][its]/*sRef*/, r[jr][its]*TMath::RadToDeg(), s[jr][its]/sm[jr][its]);
1437 AliDebug(4, Form(" Tracklet candidates: row[%2d] = %2d row[%2d] = %2d:", idxRow[0], nts[0], idxRow[1], nts[1]));
1438 if(AliLog::GetDebugLevel("TRD", "AliTRDseedV1")>3){
1439 for(Int_t jr(0); jr<nrc; jr++){
1440 Int_t ir(idxRow[jr]);
1441 for(Int_t its(0); its<nts[jr]; its++){
1442 printf(" segId[%2d] row[%2d] Ncl[%2d] x[cm]=%7.2f dz[pu]=%4.2f dy[mm]=%+7.3f r[deg]=%+6.2f p[%%]=%6.2f s[um]=%7.2f\n",
1443 its, ir, n[jr][its], xm[jr][its], zresRow[jr], 1.e1*ym[jr][its], r[jr][its]*TMath::RadToDeg(), 100.*p[jr][its], 1.e4*s[jr][its]);
1447 if(!pstreamer && recoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 2 && fkReconstructor->IsDebugStreaming()) pstreamer = fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
1449 // save config. for calibration
1450 TVectorD vidx, vn, vx, vy, vr, vs, vsm, vp, vf;
1451 vidx.ResizeTo(ncl[idxRow[0]]+(idxRow[1]<0?0:ncl[idxRow[1]]));
1460 for(Int_t jr(0), jts(0), jc(0); jr<nrc; jr++){
1461 Int_t ir(idxRow[jr]);
1462 for(Int_t its(0); its<nts[jr]; its++, jts++){
1463 vn[jts] = n[jr][its];
1464 vx[jts] = xm[jr][its];
1465 vy[jts] = ym[jr][its];
1466 vr[jts] = r[jr][its];
1467 vs[jts] = s[jr][its];
1468 vsm[jts]= sm[jr][its];
1469 vp[jts] = p[jr][its];
1470 vf[jts] = jr?-1.:f[its];
1472 for(Int_t ic(0); ic<ncl[ir]; ic++, jc++) vidx[jc] = index[jr][ic];
1474 (*pstreamer) << "AttachClusters3"
1487 //=========================================================
1488 // Get seed tracklet segment
1489 Int_t idx2[kNcls]; memset(idx2, 0, kNcls*sizeof(Int_t)); // seeding indexing
1490 if(nts[0]>1) TMath::Sort(nts[0], f, idx2);
1491 Int_t is(idx2[0]); // seed index
1492 Int_t idxTrklt[kNcls],
1495 Double_t fTrklt(f[is]),
1503 memset(idxTrklt, 0, kNcls*sizeof(Int_t));
1504 // check seed idx2[0] exit if not found
1506 AliDebug(1, Form("Seed seg[%d] row[%2d] n[%2d] f[%f]<0.01.", is, idxRow[0], n[0][is], f[is]));
1507 SetErrorMsg(kAttachClAttach);
1508 if(!pstreamer && recoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 1 && fkReconstructor->IsDebugStreaming()) pstreamer = fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
1511 if(IsKink()) SETBIT(stat, 1);
1512 if(IsStandAlone()) SETBIT(stat, 2);
1513 if(IsRowCross()) SETBIT(stat, 3);
1514 SETBIT(stat, 4); // set error bit
1515 TVectorD vidx; vidx.ResizeTo(1); vidx[0] = is;
1516 (*pstreamer) << "AttachClusters2"
1522 << "y0=" << fYref[0]
1523 << "z0=" << fZref[0]
1527 << "s2Trk=" << s2yTrk
1528 << "s2Cl=" << s2Mean
1543 AliDebug(2, Form("Seed seg[%d] row[%2d] n[%2d] dy[%f] r[%+5.2f] s[%+5.2f] f[%5.3f] q[%6.2f]", is, idxRow[0], n[0][is], ym[0][is], r[0][is]*TMath::RadToDeg(), s[0][is]/sm[0][is], f[is], q[0][is]));
1545 // save seeding segment in the helper
1546 idxTrklt[kts++] = is;
1547 helper.Init(pp, &clst[idxRow[0]], index[0], is);
1548 AliTRDtrackletOflHelper test; // helper to test segment expantion
1549 Float_t rcLikelihood(0.); SetBit(kRowCross, kFALSE);
1550 Double_t dyRez[kNcls]; Int_t idx3[kNcls];
1552 //=========================================================
1553 // Define filter parameters from OCDB
1554 Int_t kNSgmDy[2]; attach->GetNsgmDy(kNSgmDy[0], kNSgmDy[1]);
1555 Float_t kLikeMinRelDecrease[2]; attach->GetLikeMinRelDecrease(kLikeMinRelDecrease[0], kLikeMinRelDecrease[1]);
1556 Float_t kRClikeLimit(attach->GetRClikeLimit());
1558 //=========================================================
1559 // Try attaching next segments from first row (if any)
1561 Int_t jr(0), ir(idxRow[jr]);
1562 // organize secondary sgms. in decreasing order of their distance from seed
1563 memset(dyRez, 0, nts[jr]*sizeof(Double_t));
1564 for(Int_t jts(1); jts<nts[jr]; jts++) {
1565 Int_t its(idx2[jts]);
1566 Double_t rot(TMath::Tan(r[0][is]));
1567 dyRez[its] = TMath::Abs(ym[0][is] - ym[jr][its] + rot*(xm[0][is]-xm[jr][its]));
1569 TMath::Sort(nts[jr], dyRez, idx3, kFALSE);
1570 for (Int_t jts(1); jts<nts[jr]; jts++) {
1571 Int_t its(idx3[jts]);
1572 if(dyRez[its] > kNSgmDy[jr]*smTrklt){
1573 AliDebug(2, Form("Reject seg[%d] row[%2d] n[%2d] dy[%f] > %d*s[%f].", its, idxRow[jr], n[jr][its], dyRez[its], kNSgmDy[jr], kNSgmDy[jr]*smTrklt));
1578 Int_t n0 = test.Expand(&clst[ir], index[jr], its);
1579 Double_t rt, dyt, st, xt, smt, pt, qt, ft;
1580 Int_t n1 = test.GetRMS(rt, dyt, st, fX0/*xt*/);
1581 pt = Double_t(n1)/n0;
1582 smt = test.GetSyMean();
1583 qt = test.GetQ()/TMath::Sqrt(1. + fYref[1]*fYref[1] + fZref[1]*fZref[1]);
1586 Double_t dxm= fX0 - xt;
1587 yt = fYref[0] - fYref[1]*dxm;
1588 zt = fZref[0] - fZref[1]*dxm;
1589 // correct tracklet fit for tilt
1590 dyt+= GetTilt()*(zt - zc[idxRow[0]]);
1591 rt += GetTilt() * fZref[1];
1592 // correct tracklet fit for track position/inclination
1594 rt = (rt - fYref[1])/(1+rt*fYref[1]);
1595 // report inclination in radians
1596 rt = TMath::ATan(rt);
1598 ft = (n0>=2) ? attach->CookLikelihood(chgPos, lyDet, fPt, phiTrk, n0, dyt/*sRef*/, rt*TMath::RadToDeg(), st/smt) : 0.;
1599 Bool_t kAccept(ft>=fTrklt*(1.-kLikeMinRelDecrease[jr]));
1601 AliDebug(2, Form("%s seg[%d] row[%2d] n[%2d] dy[%f] r[%+5.2f] s[%+5.2f] f[%f] < %4.2f*F[%f].",
1602 (kAccept?"Adding":"Reject"), its, idxRow[jr], n0, dyt, rt*TMath::RadToDeg(), st/smt, ft, 1.-kLikeMinRelDecrease[jr], fTrklt*(1.-kLikeMinRelDecrease[jr])));
1604 idxTrklt[kts++] = its;
1614 helper.Expand(&clst[ir], index[jr], its);
1619 //=========================================================
1620 // Try attaching next segments from second row (if any)
1621 if(nts[1] && (rcLikelihood = zresRow[0]/zresRow[1]) > kRClikeLimit){
1622 // organize secondaries in decreasing order of their distance from seed
1623 Int_t jr(1), ir(idxRow[jr]);
1624 memset(dyRez, 0, nts[jr]*sizeof(Double_t));
1625 Double_t rot(TMath::Tan(r[0][is]));
1626 for(Int_t jts(0); jts<nts[jr]; jts++) {
1627 dyRez[jts] = TMath::Abs(ym[0][is] - ym[jr][jts] + rot*(xm[0][is]-xm[jr][jts]));
1629 TMath::Sort(nts[jr], dyRez, idx3, kFALSE);
1630 for (Int_t jts(0); jts<nts[jr]; jts++) {
1631 Int_t its(idx3[jts]);
1632 if(dyRez[its] > kNSgmDy[jr]*smTrklt){
1633 AliDebug(2, Form("Reject seg[%d] row[%2d] n[%2d] dy[%f] > %d*s[%f].", its, idxRow[jr], n[jr][its], dyRez[its], kNSgmDy[jr], kNSgmDy[jr]*smTrklt));
1638 Int_t n0 = test.Expand(&clst[ir], index[jr], its);
1639 Double_t rt, dyt, st, xt, smt, pt, qt, ft;
1640 Int_t n1 = test.GetRMS(rt, dyt, st, fX0/*xt*/);
1641 pt = Double_t(n1)/n0;
1642 smt = test.GetSyMean();
1643 qt = test.GetQ()/TMath::Sqrt(1. + fYref[1]*fYref[1] + fZref[1]*fZref[1]);
1646 Double_t dxm= fX0 - xt;
1647 yt = fYref[0] - fYref[1]*dxm;
1648 zt = fZref[0] - fZref[1]*dxm;
1649 // correct tracklet fit for tilt
1650 dyt+= GetTilt()*(zt - zc[idxRow[0]]);
1651 rt += GetTilt() * fZref[1];
1652 // correct tracklet fit for track position/inclination
1654 rt = (rt - fYref[1])/(1+rt*fYref[1]);
1655 // report inclination in radians
1656 rt = TMath::ATan(rt);
1658 ft = (n0>=2) ? attach->CookLikelihood(chgPos, lyDet, fPt, phiTrk, n0, dyt/*sRef*/, rt*TMath::RadToDeg(), st/smt) : 0.;
1659 Bool_t kAccept(ft>=fTrklt*(1.-kLikeMinRelDecrease[jr]));
1661 AliDebug(2, Form("%s seg[%d] row[%2d] n[%2d] dy[%f] r[%+5.2f] s[%+5.2f] f[%f] < %4.2f*F[%f].",
1662 (kAccept?"Adding":"Reject"), its, idxRow[jr], n0, dyt, rt*TMath::RadToDeg(), st/smt, ft, 1.-kLikeMinRelDecrease[jr], fTrklt*(1.-kLikeMinRelDecrease[jr])));
1664 idxTrklt[kts++] = its;
1674 helper.Expand(&clst[ir], index[jr], its);
1675 SetBit(kRowCross, kTRUE); // mark pad row crossing
1679 // clear local copy of clusters
1680 for(Int_t ir(0); ir<kNrows; ir++) clst[ir].Clear();
1682 if(!pstreamer && recoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 1 && fkReconstructor->IsDebugStreaming()) pstreamer = fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
1685 if(IsKink()) SETBIT(stat, 1);
1686 if(IsStandAlone()) SETBIT(stat, 2);
1687 if(IsRowCross()) SETBIT(stat, 3);
1688 TVectorD vidx; vidx.ResizeTo(kts);
1689 for(Int_t its(0); its<kts; its++) vidx[its] = idxTrklt[its];
1690 (*pstreamer) << "AttachClusters2"
1696 << "y0=" << fYref[0]
1697 << "z0=" << fZref[0]
1701 << "s2Trk=" << s2yTrk
1702 << "s2Cl=" << s2Mean
1717 //=========================================================
1719 Int_t nselected(0), nc(0);
1720 TObjArray *selected(helper.GetClusters());
1721 if(!selected || !(nselected = selected->GetEntriesFast())){
1722 AliError("Cluster candidates missing !!!");
1723 SetErrorMsg(kAttachClAttach);
1726 for(Int_t ic(0); ic<nselected; ic++){
1727 if(!(c = (AliTRDcluster*)selected->At(ic))) continue;
1728 Int_t it(c->GetPadTime()),
1729 jr(Int_t(helper.GetRow() != c->GetPadRow())),
1732 AliDebug(1, Form("Multiple clusters/tb for D[%03d] Tb[%02d] Row[%2d]", fDet, it, c->GetPadRow()));
1733 continue; // already booked
1735 // TODO proper indexing of clusters !!
1736 fIndexes[idx] = chamber->GetTB(it)->GetGlobalIndex(idxs[idxRow[jr]][ic]);
1740 AliDebug(2, Form("Clusters Found[%2d] Attached[%2d] RC[%c]", nselected, nc, IsRowCross()?'y':'n'));
1742 // number of minimum numbers of clusters expected for the tracklet
1744 AliDebug(1, Form("NOT ENOUGH CLUSTERS %d ATTACHED TO THE TRACKLET [min %d] FROM FOUND %d.", nc, kClmin, ncls));
1745 SetErrorMsg(kAttachClAttach);
1750 // Load calibration parameters for this tracklet
1753 // calculate dx for time bins in the drift region (calibration aware)
1754 Float_t x[2] = {0.,0.}; Int_t tb[2]={0,0};
1755 for (Int_t it = t0, irp=0; irp<2 && it < AliTRDtrackerV1::GetNTimeBins(); it++) {
1756 if(!fClusters[it]) continue;
1757 x[irp] = fClusters[it]->GetX();
1758 tb[irp] = fClusters[it]->GetLocalTimeBin();
1761 Int_t dtb = tb[1] - tb[0];
1762 fdX = dtb ? (x[0] - x[1]) / dtb : 0.15;
1766 //____________________________________________________________
1767 void AliTRDseedV1::Bootstrap(const AliTRDReconstructor *rec)
1769 // Fill in all derived information. It has to be called after recovery from file or HLT.
1770 // The primitive data are
1771 // - list of clusters
1772 // - detector (as the detector will be removed from clusters)
1773 // - position of anode wire (fX0) - temporary
1774 // - track reference position and direction
1775 // - momentum of the track
1776 // - time bin length [cm]
1778 // A.Bercuci <A.Bercuci@gsi.de> Oct 30th 2008
1780 fkReconstructor = rec;
1782 SetPadPlane(g.GetPadPlane(fDet));
1784 //fSnp = fYref[1]/TMath::Sqrt(1+fYref[1]*fYref[1]);
1786 Int_t n = 0, nshare = 0, nused = 0;
1787 AliTRDcluster **cit = &fClusters[0];
1788 for(Int_t ic = kNclusters; ic--; cit++){
1791 if((*cit)->IsShared()) nshare++;
1792 if((*cit)->IsUsed()) nused++;
1794 SetN(n); SetNUsed(nused); SetNShared(nshare);
1801 //____________________________________________________________________
1802 Bool_t AliTRDseedV1::Fit(UChar_t opt)
1805 // Linear fit of the clusters attached to the tracklet
1808 // - opt : switch for tilt pad correction of cluster y position. Options are
1809 // 0 no correction [default]
1810 // 1 full tilt correction [dz/dx and z0]
1811 // 2 pseudo tilt correction [dz/dx from pad-chamber geometry]
1814 // True if successful
1816 // Detailed description
1818 // Fit in the xy plane
1820 // The fit is performed to estimate the y position of the tracklet and the track
1821 // angle in the bending plane. The clusters are represented in the chamber coordinate
1822 // system (with respect to the anode wire - see AliTRDtrackerV1::FollowBackProlongation()
1823 // on how this is set). The x and y position of the cluster and also their variances
1824 // are known from clusterizer level (see AliTRDcluster::GetXloc(), AliTRDcluster::GetYloc(),
1825 // AliTRDcluster::GetSX() and AliTRDcluster::GetSY()).
1826 // If gaussian approximation is used to calculate y coordinate of the cluster the position
1827 // is recalculated taking into account the track angle. The general formula to calculate the
1828 // error of cluster position in the gaussian approximation taking into account diffusion and track
1829 // inclination is given for TRD by:
1831 // #sigma^{2}_{y} = #sigma^{2}_{PRF} + #frac{x#delta_{t}^{2}}{(1+tg(#alpha_{L}))^{2}} + #frac{x^{2}tg^{2}(#phi-#alpha_{L})tg^{2}(#alpha_{L})}{12}
1834 // Since errors are calculated only in the y directions, radial errors (x direction) are mapped to y
1835 // by projection i.e.
1837 // #sigma_{x|y} = tg(#phi) #sigma_{x}
1839 // and also by the lorentz angle correction
1841 // Fit in the xz plane
1843 // The "fit" is performed to estimate the radial position (x direction) where pad row cross happens.
1844 // If no pad row crossing the z position is taken from geometry and radial position is taken from the xy
1847 // There are two methods to estimate the radial position of the pad row cross:
1848 // 1. leading cluster radial position : Here the lower part of the tracklet is considered and the last
1849 // cluster registered (at radial x0) on this segment is chosen to mark the pad row crossing. The error
1850 // of the z estimate is given by :
1852 // #sigma_{z} = tg(#theta) #Delta x_{x_{0}}/12
1854 // The systematic errors for this estimation are generated by the following sources:
1855 // - no charge sharing between pad rows is considered (sharp cross)
1856 // - missing cluster at row cross (noise peak-up, under-threshold signal etc.).
1858 // 2. charge fit over the crossing point : Here the full energy deposit along the tracklet is considered
1859 // to estimate the position of the crossing by a fit in the qx plane. The errors in the q directions are
1860 // parameterized as s_q = q^2. The systematic errors for this estimation are generated by the following sources:
1861 // - no general model for the qx dependence
1862 // - physical fluctuations of the charge deposit
1863 // - gain calibration dependence
1865 // Estimation of the radial position of the tracklet
1867 // For pad row cross the radial position is taken from the xz fit (see above). Otherwise it is taken as the
1868 // interpolation point of the tracklet i.e. the point where the error in y of the fit is minimum. The error
1869 // in the y direction of the tracklet is (see AliTRDseedV1::GetCovAt()):
1871 // #sigma_{y} = #sigma^{2}_{y_{0}} + 2xcov(y_{0}, dy/dx) + #sigma^{2}_{dy/dx}
1873 // and thus the radial position is:
1875 // x = - cov(y_{0}, dy/dx)/#sigma^{2}_{dy/dx}
1878 // Estimation of tracklet position error
1880 // The error in y direction is the error of the linear fit at the radial position of the tracklet while in the z
1881 // direction is given by the cluster error or pad row cross error. In case of no pad row cross this is given by:
1883 // #sigma_{y} = #sigma^{2}_{y_{0}} - 2cov^{2}(y_{0}, dy/dx)/#sigma^{2}_{dy/dx} + #sigma^{2}_{dy/dx}
1884 // #sigma_{z} = Pad_{length}/12
1886 // For pad row cross the full error is calculated at the radial position of the crossing (see above) and the error
1887 // in z by the width of the crossing region - being a matter of parameterization.
1889 // #sigma_{z} = tg(#theta) #Delta x_{x_{0}}/12
1891 // In case of no tilt correction (default in the barrel tracking) the tilt is taken into account by the rotation of
1892 // the covariance matrix. See AliTRDseedV1::GetCovAt() for details.
1895 // A.Bercuci <A.Bercuci@gsi.de>
1897 if(!fkReconstructor){
1898 AliError("The tracklet needs the reconstruction setup. Please initialize by SetReconstructor().");
1901 if(!IsCalibrated()) Calibrate();
1903 AliWarning(Form("Option [%d] outside range [0, 2]. Using default",opt));
1907 const Int_t kClmin = 8;
1908 const Float_t kScalePulls = 10.; // factor to scale y pulls - NOT UNDERSTOOD
1909 // get track direction
1910 Double_t y0 = fYref[0];
1911 Double_t dydx = fYref[1];
1912 Double_t z0 = fZref[0];
1913 Double_t dzdx = fZref[1];
1915 AliTRDtrackerV1::AliTRDLeastSquare fitterY;
1916 AliTRDtrackerV1::AliTRDLeastSquare fitterZ;
1918 // book cluster information
1919 Double_t qc[kNclusters], xc[kNclusters], yc[kNclusters], zc[kNclusters], sy[kNclusters];
1921 Bool_t tilt(opt==1) // full tilt correction
1922 ,pseudo(opt==2) // pseudo tilt correction
1923 ,rc(IsRowCross()) // row cross candidate
1924 ,kDZDX(IsPrimary());// switch dzdx calculation for barrel primary tracks
1925 Int_t n(0); // clusters used in fit
1926 AliTRDcluster *c(NULL), *cc(NULL), **jc = &fClusters[0];
1927 const AliTRDrecoParam* const recoParam = fkReconstructor->GetRecoParam(); //the dynamic cast in GetRecoParam is slow, so caching the pointer to it
1929 const Char_t *tcName[]={"NONE", "FULL", "HALF"};
1930 AliDebug(2, Form("Options : TC[%s] dzdx[%c]", tcName[opt], kDZDX?'Y':'N'));
1933 for (Int_t ic=0; ic<kNclusters; ic++, ++jc) {
1934 xc[ic] = -1.; yc[ic] = 999.; zc[ic] = 999.; sy[ic] = 0.;
1935 if(!(c = (*jc))) continue;
1936 if(!c->IsInChamber()) continue;
1937 // compute pseudo tilt correction
1939 fZfit[0] = c->GetZ();
1941 for(Int_t kc=AliTRDseedV1::kNtb; kc<AliTRDseedV1::kNclusters; kc++){
1942 if(!(cc=fClusters[kc])) continue;
1943 if(!cc->IsInChamber()) continue;
1944 fZfit[0] += cc->GetZ(); fZfit[0] *= 0.5;
1948 fZfit[1] = fZfit[0]/fX0;
1950 fZfit[0] += fZfit[1]*0.5*AliTRDgeometry::CdrHght();
1951 fZfit[1] = fZfit[0]/fX0;
1957 if(c->GetNPads()>4) w = .5;
1958 if(c->GetNPads()>5) w = .2;
1961 qc[n] = TMath::Abs(c->GetQ());
1962 // pad row of leading
1964 xc[n] = fX0 - c->GetX();
1966 // Recalculate cluster error based on tracking information
1967 c->SetSigmaY2(fS2PRF, fDiffT, fExB, xc[n], -1./*zcorr?zt:-1.*/, dydx);
1968 c->SetSigmaZ2(fPad[0]*fPad[0]/12.); // for HLT
1969 sy[n] = TMath::Sqrt(c->GetSigmaY2());
1971 yc[n] = recoParam->UseGAUS() ?
1972 c->GetYloc(y0, sy[n], GetPadWidth()): c->GetY();
1975 //optional r-phi correction
1976 //printf(" n[%2d] yc[%7.5f] ", n, yc[n]);
1977 Float_t correction(0.);
1978 if(tilt) correction = fPad[2]*(xc[n]*dzdx + zc[n] - z0);
1979 else if(pseudo) correction = fPad[2]*(xc[n]*fZfit[1] + zc[n]-fZfit[0]);
1981 //printf("corr(%s%s)[%7.5f] yc1[%7.5f]\n", (tilt?"TC":""), (zcorr?"PC":""), correction, yc[n]);
1983 AliDebug(5, Form(" tb[%2d] dx[%6.3f] y[%6.2f+-%6.3f]", c->GetLocalTimeBin(), xc[n], yc[n], sy[n]));
1984 fitterY.AddPoint(&xc[n], yc[n], sy[n]);
1985 if(rc) fitterZ.AddPoint(&xc[n], qc[n]*(ic<kNtb?1.:-1.), 1.);
1991 AliDebug(1, Form("Not enough clusters to fit. Clusters: Attached[%d] Fit[%d].", GetN(), n));
1992 SetErrorMsg(kFitCl);
1996 if(!fitterY.Eval()){
1997 AliDebug(1, "Fit Y failed.");
1998 SetErrorMsg(kFitFailedY);
2001 fYfit[0] = fitterY.GetFunctionParameter(0);
2002 fYfit[1] = -fitterY.GetFunctionParameter(1);
2005 fitterY.GetCovarianceMatrix(p);
2006 fCov[0] = kScalePulls*p[1]; // variance of y0
2007 fCov[1] = kScalePulls*p[2]; // covariance of y0, dydx
2008 fCov[2] = kScalePulls*p[0]; // variance of dydx
2009 // the ref radial position is set at the minimum of
2010 // the y variance of the tracklet
2011 fX = -fCov[1]/fCov[2];
2012 fS2Y = fCov[0] +2.*fX*fCov[1] + fX*fX*fCov[2];
2014 Float_t xs=fX+.5*AliTRDgeometry::CamHght();
2015 if(xs < 0. || xs > AliTRDgeometry::CamHght()+AliTRDgeometry::CdrHght()){
2016 AliDebug(1, Form("Ref radial position ouside chamber x[%5.2f].", fX));
2017 SetErrorMsg(kFitFailedY);
2021 /* // THE LEADING CLUSTER METHOD for z fit
2023 Int_t ic=n=kNclusters-1; jc = &fClusters[ic];
2024 AliTRDcluster *c0 =0x0, **kc = &fClusters[kNtb-1];
2025 for(; ic>kNtb; ic--, --jc, --kc){
2026 if((c0 = (*kc)) && c0->IsInChamber() && (xMin>c0->GetX())) xMin = c0->GetX();
2027 if(!(c = (*jc))) continue;
2028 if(!c->IsInChamber()) continue;
2029 zc[kNclusters-1] = c->GetZ();
2030 fX = fX0 - c->GetX();
2032 fZfit[0] = .5*(zc[0]+zc[kNclusters-1]); fZfit[1] = 0.;
2033 // Error parameterization
2034 fS2Z = fdX*fZref[1];
2035 fS2Z *= fS2Z; fS2Z *= 0.2887; // 1/sqrt(12)*/
2038 if(opt!=1 && IsRowCross()){
2039 if(!fitterZ.Eval()) SetErrorMsg(kFitFailedZ);
2040 if(!HasError(kFitFailedZ) && TMath::Abs(fitterZ.GetFunctionParameter(1))>1.e-10){
2041 // TODO - one has to recalculate xy fit based on
2042 // better knowledge of z position
2043 // Double_t x = -fitterZ.GetFunctionParameter(0)/fitterZ.GetFunctionParameter(1);
2044 // Double_t z0 = .5*(zc[0]+zc[n-1]);
2045 // fZfit[0] = z0 + fZfit[1]*x;
2046 // fZfit[1] = fZfit[0]/fX0;
2047 // redo fit on xy plane
2049 // temporary external error parameterization
2050 fS2Z = 0.05+0.4*TMath::Abs(fZref[1]); fS2Z *= fS2Z;
2051 // TODO correct formula
2052 //fS2Z = sigma_x*TMath::Abs(fZref[1]);
2054 //fZfit[0] = zc[0] + dzdx*0.5*AliTRDgeometry::CdrHght();
2055 fS2Z = GetPadLength()*GetPadLength()/12.;
2061 //____________________________________________________________________
2062 Bool_t AliTRDseedV1::FitRobust(Bool_t chg)
2065 // Linear fit of the clusters attached to the tracklet
2068 // A.Bercuci <A.Bercuci@gsi.de>
2070 TTreeSRedirector *pstreamer(NULL);
2071 const AliTRDrecoParam* const recoParam = fkReconstructor->GetRecoParam(); if(recoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 3 && fkReconstructor->IsDebugStreaming()) pstreamer = fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
2073 // factor to scale y pulls.
2074 // ideally if error parametrization correct this is 1.
2075 //Float_t lyScaler = 1./(AliTRDgeometry::GetLayer(fDet)+1.);
2076 Float_t kScalePulls = 1.;
2077 AliTRDcalibDB *calibration = AliTRDcalibDB::Instance();
2079 AliWarning("No access to calibration data");
2081 // Retrieve the CDB container class with the parametric likelihood
2082 const AliTRDCalTrkAttach *attach = calibration->GetAttachObject();
2084 AliWarning("No usable AttachClusters calib object.");
2086 kScalePulls = attach->GetScaleCov();//*lyScaler;
2088 // Retrieve chamber status
2089 SetChmbGood(calibration->IsChamberGood(fDet));
2090 if(!IsChmbGood()) kScalePulls*=10.;
2092 Double_t xc[kNclusters], yc[kNclusters], sy[kNclusters];
2093 Int_t n(0), // clusters used in fit
2094 row[]={-1, 0}; // pad row spanned by the tracklet
2095 AliTRDcluster *c(NULL), **jc = &fClusters[0];
2096 for(Int_t ic=0; ic<kNtb; ic++, ++jc) {
2097 if(!(c = (*jc))) continue;
2098 if(!c->IsInChamber()) continue;
2100 fZfit[0] = c->GetZ();
2102 row[0] = c->GetPadRow();
2106 sy[n] = c->GetSigmaY2()>0?(TMath::Min(TMath::Sqrt(c->GetSigmaY2()), 0.08)):0.08;
2109 Double_t corr = fPad[2]*fPad[0];
2111 for(Int_t ic=kNtb; ic<kNclusters; ic++, ++jc) {
2112 if(!(c = (*jc))) continue;
2113 if(!c->IsInChamber()) continue;
2114 if(row[1]==0) row[1] = c->GetPadRow() - row[0];
2116 yc[n] = c->GetY() + corr*row[1];
2117 sy[n] = c->GetSigmaY2()>0?(TMath::Min(TMath::Sqrt(c->GetSigmaY2()), 0.08)):0.08;
2121 Double_t par[3] = {0.,0.,fX0}, cov[3];
2122 if(!AliTRDtrackletOflHelper::Fit(n, xc, yc, sy, par, 1.5, cov)){
2123 AliDebug(1, Form("Tracklet fit failed D[%03d].", fDet));
2124 SetErrorMsg(kFitCl);
2130 fCov[0] = kScalePulls*cov[0]; // variance of y0
2131 fCov[1] = kScalePulls*cov[2]; // covariance of y0, dydx
2132 fCov[2] = kScalePulls*cov[1]; // variance of dydx
2133 // the ref radial position is set at the minimum of
2134 // the y variance of the tracklet
2135 fX = 0.;//-fCov[1]/fCov[2];
2136 // check radial position
2137 Float_t xs=fX+.5*AliTRDgeometry::CamHght();
2138 if(xs < 0. || xs > AliTRDgeometry::CamHght()+AliTRDgeometry::CdrHght()){
2139 AliDebug(1, Form("Ref radial position x[%5.2f] ouside D[%3d].", fX, fDet));
2140 SetErrorMsg(kFitFailedY);
2143 fS2Y = fCov[0] + fX*fCov[1];
2144 fS2Z = fPad[0]*fPad[0]/12.;
2145 AliDebug(2, Form("[I] x[cm]=%6.2f y[cm]=%+5.2f z[cm]=%+6.2f dydx[deg]=%+5.2f sy[um]=%6.2f sz[cm]=%6.2f", GetX(), GetY(), GetZ(), TMath::ATan(fYfit[1])*TMath::RadToDeg(), TMath::Sqrt(fS2Y)*1.e4, TMath::Sqrt(fS2Z)));
2148 if(!GetEstimatedCrossPoint(x,z)){
2149 AliDebug(2, Form("Failed(I) getting crossing point D[%03d].", fDet));
2150 SetErrorMsg(kFitFailedY);
2156 fS2Z = 0.05+0.4*TMath::Abs(fZfit[1]); fS2Z *= fS2Z;
2158 AliDebug(2, Form("s2y[%f] s2z[%f]", fS2Y, fS2Z));
2159 AliDebug(2, Form("[II] x[cm]=%6.2f y[cm]=%+5.2f z[cm]=%+6.2f dydx[deg]=%+5.2f sy[um]=%6.2f sz[um]=%6.2f dzdx[deg]=%+5.2f", GetX(), GetY(), GetZ(), TMath::ATan(fYfit[1])*TMath::RadToDeg(), TMath::Sqrt(fS2Y)*1.e4, TMath::Sqrt(fS2Z)*1.e4, TMath::ATan(fZfit[1])*TMath::RadToDeg()));
2165 yt = fYref[0]-fX*fYref[1];
2167 TVectorD vcov(3); vcov[0]=cov[0];vcov[1]=cov[1];vcov[2]=cov[2];
2168 Double_t sm(0.), chi2(0.), tmp, dy[kNclusters];
2169 for(Int_t ic(0); ic<n; ic++){
2171 dy[ic] = yc[ic]-(fYfit[0]+(xc[ic]-fX0)*fYfit[1]); tmp = dy[ic]/sy[ic];
2174 sm /= n; chi2 = TMath::Sqrt(chi2);
2175 Double_t m(0.), s(0.);
2176 AliMathBase::EvaluateUni(n, dy, m, s, 0);
2177 (*pstreamer) << "FitRobust4"
2178 << "stat=" << status
2183 << "y0=" << fYfit[0]
2186 << "dydx=" << fYfit[1]
2189 << "dydxt="<< fYref[1]
2199 //___________________________________________________________________
2200 void AliTRDseedV1::Print(Option_t *o) const
2203 // Printing the seedstatus
2206 AliInfo(Form("Det[%3d] X0[%7.2f] Pad{L[%5.2f] W[%5.2f] Tilt[%+6.2f]}", fDet, fX0, GetPadLength(), GetPadWidth(), GetTilt()));
2207 AliInfo(Form("N[%2d] Nused[%2d] Nshared[%2d] [%d]", GetN(), GetNUsed(), GetNShared(), fN));
2208 AliInfo(Form("FLAGS : RC[%c] Kink[%c] SA[%c]", IsRowCross()?'y':'n', IsKink()?'y':'n', IsStandAlone()?'y':'n'));
2209 AliInfo(Form("CALIB PARAMS : T0[%5.2f] Vd[%5.2f] s2PRF[%5.2f] ExB[%5.2f] Dl[%5.2f] Dt[%5.2f]", fT0, fVD, fS2PRF, fExB, fDiffL, fDiffT));
2211 Double_t cov[3], x=GetX();
2213 AliInfo(" | x[cm] | y[cm] | z[cm] | dydx | dzdx |");
2214 AliInfo(Form("Fit | %7.2f | %7.2f+-%7.2f | %7.2f+-%7.2f| %5.2f | ----- |", x, GetY(), TMath::Sqrt(cov[0]), GetZ(), TMath::Sqrt(cov[2]), fYfit[1]));
2215 AliInfo(Form("Ref | %7.2f | %7.2f+-%7.2f | %7.2f+-%7.2f| %5.2f | %5.2f |", x, fYref[0]-fX*fYref[1], TMath::Sqrt(fRefCov[0]), fZref[0]-fX*fYref[1], TMath::Sqrt(fRefCov[2]), fYref[1], fZref[1]));
2216 AliInfo(Form("P / Pt [GeV/c] = %f / %f", GetMomentum(), fPt));
2217 if(IsStandAlone()) AliInfo(Form("C Rieman / Vertex [1/cm] = %f / %f", fC[0], fC[1]));
2218 AliInfo(Form("dEdx [a.u.] = %f / %f / %f / %f / %f/ %f / %f / %f", fdEdx[0], fdEdx[1], fdEdx[2], fdEdx[3], fdEdx[4], fdEdx[5], fdEdx[6], fdEdx[7]));
2219 AliInfo(Form("PID = %5.3f / %5.3f / %5.3f / %5.3f / %5.3f", fProb[0], fProb[1], fProb[2], fProb[3], fProb[4]));
2221 if(strcmp(o, "a")!=0) return;
2223 AliTRDcluster* const* jc = &fClusters[0];
2224 for(int ic=0; ic<kNclusters; ic++, jc++) {
2225 if(!(*jc)) continue;
2231 //___________________________________________________________________
2232 Bool_t AliTRDseedV1::IsEqual(const TObject *o) const
2234 // Checks if current instance of the class has the same essential members
2237 if(!o) return kFALSE;
2238 const AliTRDseedV1 *inTracklet = dynamic_cast<const AliTRDseedV1*>(o);
2239 if(!inTracklet) return kFALSE;
2241 for (Int_t i = 0; i < 2; i++){
2242 if ( fYref[i] != inTracklet->fYref[i] ) return kFALSE;
2243 if ( fZref[i] != inTracklet->fZref[i] ) return kFALSE;
2246 if ( TMath::Abs(fS2Y - inTracklet->fS2Y)>1.e-10 ) return kFALSE;
2247 if ( TMath::Abs(GetTilt() - inTracklet->GetTilt())>1.e-10 ) return kFALSE;
2248 if ( TMath::Abs(GetPadLength() - inTracklet->GetPadLength())>1.e-10 ) return kFALSE;
2250 for (Int_t i = 0; i < kNclusters; i++){
2251 // if ( fX[i] != inTracklet->GetX(i) ) return kFALSE;
2252 // if ( fY[i] != inTracklet->GetY(i) ) return kFALSE;
2253 // if ( fZ[i] != inTracklet->GetZ(i) ) return kFALSE;
2254 if ( fIndexes[i] != inTracklet->fIndexes[i] ) return kFALSE;
2256 // if ( fUsable != inTracklet->fUsable ) return kFALSE;
2258 for (Int_t i=0; i < 2; i++){
2259 if ( fYfit[i] != inTracklet->fYfit[i] ) return kFALSE;
2260 if ( fZfit[i] != inTracklet->fZfit[i] ) return kFALSE;
2261 if ( fLabels[i] != inTracklet->fLabels[i] ) return kFALSE;
2264 /* if ( fMeanz != inTracklet->GetMeanz() ) return kFALSE;
2265 if ( fZProb != inTracklet->GetZProb() ) return kFALSE;*/
2266 if ( fN != inTracklet->fN ) return kFALSE;
2267 //if ( fNUsed != inTracklet->fNUsed ) return kFALSE;
2268 //if ( fFreq != inTracklet->GetFreq() ) return kFALSE;
2269 //if ( fNChange != inTracklet->GetNChange() ) return kFALSE;
2271 if ( TMath::Abs(fC[0] - inTracklet->fC[0])>1.e-10 ) return kFALSE;
2272 //if ( fCC != inTracklet->GetCC() ) return kFALSE;
2273 if ( TMath::Abs(fChi2 - inTracklet->fChi2)>1.e-10 ) return kFALSE;
2274 // if ( fChi2Z != inTracklet->GetChi2Z() ) return kFALSE;
2276 if ( fDet != inTracklet->fDet ) return kFALSE;
2277 if ( TMath::Abs(fPt - inTracklet->fPt)>1.e-10 ) return kFALSE;
2278 if ( TMath::Abs(fdX - inTracklet->fdX)>1.e-10 ) return kFALSE;
2280 for (Int_t iCluster = 0; iCluster < kNclusters; iCluster++){
2281 AliTRDcluster *curCluster = fClusters[iCluster];
2282 AliTRDcluster *inCluster = inTracklet->fClusters[iCluster];
2283 if (curCluster && inCluster){
2284 if (! curCluster->IsEqual(inCluster) ) {
2285 curCluster->Print();
2290 // if one cluster exists, and corresponding
2291 // in other tracklet doesn't - return kFALSE
2292 if(curCluster || inCluster) return kFALSE;