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 *
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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>
42 #include "AliMathBase.h"
43 #include "AliRieman.h"
44 #include "AliCDBManager.h"
46 #include "AliTRDReconstructor.h"
47 #include "AliTRDpadPlane.h"
48 #include "AliTRDcluster.h"
49 #include "AliTRDseedV1.h"
50 #include "AliTRDtrackV1.h"
51 #include "AliTRDcalibDB.h"
52 #include "AliTRDchamberTimeBin.h"
53 #include "AliTRDtrackingChamber.h"
54 #include "AliTRDtrackerV1.h"
55 #include "AliTRDrecoParam.h"
56 #include "AliTRDCommonParam.h"
58 #include "Cal/AliTRDCalPID.h"
59 #include "Cal/AliTRDCalROC.h"
60 #include "Cal/AliTRDCalDet.h"
64 ClassImp(AliTRDseedV1)
66 //____________________________________________________________________
67 AliTRDseedV1::AliTRDseedV1(Int_t det)
69 ,fkReconstructor(NULL)
94 memset(fIndexes,0xFF,kNclusters*sizeof(fIndexes[0]));
95 memset(fClusters, 0, kNclusters*sizeof(AliTRDcluster*));
96 memset(fPad, 0, 4*sizeof(Float_t));
97 fYref[0] = 0.; fYref[1] = 0.;
98 fZref[0] = 0.; fZref[1] = 0.;
99 fYfit[0] = 0.; fYfit[1] = 0.;
100 fZfit[0] = 0.; fZfit[1] = 0.;
101 memset(fdEdx, 0, kNslices*sizeof(Float_t));
102 for(int ispec=0; ispec<AliPID::kSPECIES; ispec++) fProb[ispec] = -1.;
103 fLabels[0]=-1; fLabels[1]=-1; // most freq MC labels
104 fLabels[2]=0; // number of different labels for tracklet
105 memset(fRefCov, 0, 7*sizeof(Double_t));
106 // stand alone curvature
107 fC[0] = 0.; fC[1] = 0.;
108 // covariance matrix [diagonal]
109 // default sy = 200um and sz = 2.3 cm
110 fCov[0] = 4.e-4; fCov[1] = 0.; fCov[2] = 5.3;
111 SetStandAlone(kFALSE);
114 //____________________________________________________________________
115 AliTRDseedV1::AliTRDseedV1(const AliTRDseedV1 &ref)
116 :AliTRDtrackletBase((AliTRDtrackletBase&)ref)
117 ,fkReconstructor(NULL)
140 // Copy Constructor performing a deep copy
145 SetBit(kOwner, kFALSE);
146 SetStandAlone(ref.IsStandAlone());
150 //____________________________________________________________________
151 AliTRDseedV1& AliTRDseedV1::operator=(const AliTRDseedV1 &ref)
154 // Assignment Operator using the copy function
160 SetBit(kOwner, kFALSE);
165 //____________________________________________________________________
166 AliTRDseedV1::~AliTRDseedV1()
169 // Destructor. The RecoParam object belongs to the underlying tracker.
172 //printf("I-AliTRDseedV1::~AliTRDseedV1() : Owner[%s]\n", IsOwner()?"YES":"NO");
175 for(int itb=0; itb<kNclusters; itb++){
176 if(!fClusters[itb]) continue;
177 //AliInfo(Form("deleting c %p @ %d", fClusters[itb], itb));
178 delete fClusters[itb];
179 fClusters[itb] = NULL;
184 //____________________________________________________________________
185 void AliTRDseedV1::Copy(TObject &ref) const
192 AliTRDseedV1 &target = (AliTRDseedV1 &)ref;
194 target.fkReconstructor = fkReconstructor;
195 target.fClusterIter = NULL;
199 target.fS2PRF = fS2PRF;
200 target.fDiffL = fDiffL;
201 target.fDiffT = fDiffT;
202 target.fClusterIdx = 0;
203 target.fErrorMsg = fErrorMsg;
214 target.fChi2 = fChi2;
216 memcpy(target.fIndexes, fIndexes, kNclusters*sizeof(Int_t));
217 memcpy(target.fClusters, fClusters, kNclusters*sizeof(AliTRDcluster*));
218 memcpy(target.fPad, fPad, 4*sizeof(Float_t));
219 target.fYref[0] = fYref[0]; target.fYref[1] = fYref[1];
220 target.fZref[0] = fZref[0]; target.fZref[1] = fZref[1];
221 target.fYfit[0] = fYfit[0]; target.fYfit[1] = fYfit[1];
222 target.fZfit[0] = fZfit[0]; target.fZfit[1] = fZfit[1];
223 memcpy(target.fdEdx, fdEdx, kNslices*sizeof(Float_t));
224 memcpy(target.fProb, fProb, AliPID::kSPECIES*sizeof(Float_t));
225 memcpy(target.fLabels, fLabels, 3*sizeof(Int_t));
226 memcpy(target.fRefCov, fRefCov, 7*sizeof(Double_t));
227 target.fC[0] = fC[0]; target.fC[1] = fC[1];
228 memcpy(target.fCov, fCov, 3*sizeof(Double_t));
234 //____________________________________________________________
235 void AliTRDseedV1::Init(const AliRieman *rieman)
237 // Initialize this tracklet using the riemann fit information
240 fZref[0] = rieman->GetZat(fX0);
241 fZref[1] = rieman->GetDZat(fX0);
242 fYref[0] = rieman->GetYat(fX0);
243 fYref[1] = rieman->GetDYat(fX0);
244 if(fkReconstructor && fkReconstructor->IsHLT()){
248 fRefCov[0] = rieman->GetErrY(fX0);
249 fRefCov[2] = rieman->GetErrZ(fX0);
251 fC[0] = rieman->GetC();
252 fChi2 = rieman->GetChi2();
256 //____________________________________________________________
257 Bool_t AliTRDseedV1::Init(AliTRDtrackV1 *track)
259 // Initialize this tracklet using the track information
262 // track - the TRD track used to initialize the tracklet
264 // Detailed description
265 // The function sets the starting point and direction of the
266 // tracklet according to the information from the TRD track.
269 // The TRD track has to be propagated to the beginning of the
270 // chamber where the tracklet will be constructed
274 if(!track->GetProlongation(fX0, y, z)) return kFALSE;
280 //_____________________________________________________________________________
281 void AliTRDseedV1::Reset(Option_t *opt)
284 // Reset seed. If option opt="c" is given only cluster arrays are cleared.
286 for(Int_t ic=kNclusters; ic--;) fIndexes[ic] = -1;
287 memset(fClusters, 0, kNclusters*sizeof(AliTRDcluster*));
288 fN=0; SetBit(kRowCross, kFALSE);
289 if(strcmp(opt, "c")==0) return;
291 fExB=0.;fVD=0.;fT0=0.;fS2PRF=0.;
297 fdX=0.;fX0=0.; fX=0.; fY=0.; fZ=0.;
302 memset(fPad, 0, 4*sizeof(Float_t));
303 fYref[0] = 0.; fYref[1] = 0.;
304 fZref[0] = 0.; fZref[1] = 0.;
305 fYfit[0] = 0.; fYfit[1] = 0.;
306 fZfit[0] = 0.; fZfit[1] = 0.;
307 memset(fdEdx, 0, kNslices*sizeof(Float_t));
308 for(int ispec=0; ispec<AliPID::kSPECIES; ispec++) fProb[ispec] = -1.;
309 fLabels[0]=-1; fLabels[1]=-1; // most freq MC labels
310 fLabels[2]=0; // number of different labels for tracklet
311 memset(fRefCov, 0, 7*sizeof(Double_t));
312 // covariance matrix [diagonal]
313 // default sy = 200um and sz = 2.3 cm
314 fCov[0] = 4.e-4; fCov[1] = 0.; fCov[2] = 5.3;
317 //____________________________________________________________________
318 void AliTRDseedV1::Update(const AliTRDtrackV1 *trk)
320 // update tracklet reference position from the TRD track
322 Double_t fSnp = trk->GetSnp();
323 Double_t fTgl = trk->GetTgl();
325 Double_t norm =1./TMath::Sqrt((1.-fSnp)*(1.+fSnp));
326 fYref[1] = fSnp*norm;
327 fZref[1] = fTgl*norm;
328 SetCovRef(trk->GetCovariance());
330 Double_t dx = trk->GetX() - fX0;
331 fYref[0] = trk->GetY() - dx*fYref[1];
332 fZref[0] = trk->GetZ() - dx*fZref[1];
335 //_____________________________________________________________________________
336 void AliTRDseedV1::UpdateUsed()
339 // Calculate number of used clusers in the tracklet
342 Int_t nused = 0, nshared = 0;
343 for (Int_t i = kNclusters; i--; ) {
344 if (!fClusters[i]) continue;
345 if(fClusters[i]->IsUsed()){
347 } else if(fClusters[i]->IsShared()){
348 if(IsStandAlone()) nused++;
356 //_____________________________________________________________________________
357 void AliTRDseedV1::UseClusters()
362 // In stand alone mode:
363 // Clusters which are marked as used or shared from another track are
364 // removed from the tracklet
367 // - Clusters which are used by another track become shared
368 // - Clusters which are attached to a kink track become shared
370 AliTRDcluster **c = &fClusters[0];
371 for (Int_t ic=kNclusters; ic--; c++) {
374 if((*c)->IsShared() || (*c)->IsUsed()){
375 if((*c)->IsShared()) SetNShared(GetNShared()-1);
376 else SetNUsed(GetNUsed()-1);
383 if((*c)->IsUsed() || IsKink()){
394 //____________________________________________________________________
395 void AliTRDseedV1::CookdEdx(Int_t nslices)
397 // Calculates average dE/dx for all slices and store them in the internal array fdEdx.
400 // nslices : number of slices for which dE/dx should be calculated
402 // store results in the internal array fdEdx. This can be accessed with the method
403 // AliTRDseedV1::GetdEdx()
405 // Detailed description
406 // Calculates average dE/dx for all slices. Depending on the PID methode
407 // the number of slices can be 3 (LQ) or 8(NN).
408 // The calculation of dQ/dl are done using the tracklet fit results (see AliTRDseedV1::GetdQdl(Int_t))
410 // The following effects are included in the calculation:
411 // 1. calibration values for t0 and vdrift (using x coordinate to calculate slice)
412 // 2. cluster sharing (optional see AliTRDrecoParam::SetClusterSharing())
416 memset(fdEdx, 0, kNslices*sizeof(Float_t));
417 const Double_t kDriftLength = (.5 * AliTRDgeometry::AmThick() + AliTRDgeometry::DrThick());
419 AliTRDcluster *c(NULL);
420 for(int ic=0; ic<AliTRDtrackerV1::GetNTimeBins(); ic++){
421 if(!(c = fClusters[ic]) && !(c = fClusters[ic+kNtb])) continue;
422 Float_t dx = TMath::Abs(fX0 - c->GetX());
424 // Filter clusters for dE/dx calculation
426 // 1.consider calibration effects for slice determination
428 if(dx<kDriftLength){ // TODO should be replaced by c->IsInChamber()
429 slice = Int_t(dx * nslices / kDriftLength);
430 } else slice = c->GetX() < fX0 ? nslices-1 : 0;
433 // 2. take sharing into account
434 Float_t w = /*c->IsShared() ? .5 :*/ 1.;
436 // 3. take into account large clusters TODO
437 //w *= c->GetNPads() > 3 ? .8 : 1.;
440 fdEdx[slice] += w * GetdQdl(ic); //fdQdl[ic];
441 } // End of loop over clusters
444 //_____________________________________________________________________________
445 void AliTRDseedV1::CookLabels()
448 // Cook 2 labels for seed
454 for (Int_t i = 0; i < kNclusters; i++) {
455 if (!fClusters[i]) continue;
456 for (Int_t ilab = 0; ilab < 3; ilab++) {
457 if (fClusters[i]->GetLabel(ilab) >= 0) {
458 labels[nlab] = fClusters[i]->GetLabel(ilab);
464 fLabels[2] = AliMathBase::Freq(nlab,labels,out,kTRUE);
466 if ((fLabels[2] > 1) && (out[3] > 1)) fLabels[1] = out[2];
469 //____________________________________________________________
470 Float_t AliTRDseedV1::GetAnodeWireOffset(Float_t zt)
472 // Find position inside the amplification cell for reading drift velocity map
474 Float_t d = fPad[3] - zt;
476 AliError(Form("Fail AnodeWireOffset calculation z0[%+7.2f] zt[%+7.2f] d[%+7.2f].", fPad[3], zt, d));
479 d -= ((Int_t)(2 * d)) / 2.0;
480 if(d > 0.25) d = 0.5 - d;
485 //____________________________________________________________________
486 Float_t AliTRDseedV1::GetCharge(Bool_t useOutliers)
488 // Computes total charge attached to tracklet. If "useOutliers" is set clusters
489 // which are not in chamber are also used (default false)
491 AliTRDcluster *c(NULL); Float_t qt(0.);
492 for(int ic=0; ic<kNclusters; ic++){
493 if(!(c=fClusters[ic])) continue;
494 if(c->IsInChamber() && !useOutliers) continue;
495 qt += TMath::Abs(c->GetQ());
500 //____________________________________________________________________
501 Bool_t AliTRDseedV1::GetEstimatedCrossPoint(Float_t &x, Float_t &z) const
503 // Algorithm to estimate cross point in the x-z plane for pad row cross tracklets.
504 // Returns true in case of success.
505 if(!IsRowCross()) return kFALSE;
508 AliTRDcluster *c(NULL);
509 // Find radial range for first row
510 Float_t x1[] = {0., 1.e3};
511 for(int ic=0; ic<kNtb; ic++){
512 if(!(c=fClusters[ic])) continue;
513 if(!c->IsInChamber()) continue;
514 if(c->GetX() <= x1[1]) x1[1] = c->GetX();
515 if(c->GetX() >= x1[0]) x1[0] = c->GetX();
518 if((x1[0] - x1[1])<1.e-5) return kFALSE;
520 // Find radial range for second row
522 Float_t x2[] = {0., 1.e3};
523 for(int ic=kNtb; ic<kNclusters; ic++){
524 if(!(c=fClusters[ic])) continue;
525 if(!c->IsInChamber()) continue;
526 if(c->GetX() <= x2[1]) x2[1] = c->GetX();
527 if(c->GetX() >= x2[0]) x2[0] = c->GetX();
534 if((x2[0] - x2[1])<1.e-5) return kFALSE;
536 // Find intersection of the 2 radial regions
537 x = 0.5*((x1[0]+x1[1] > x2[0]+x2[1]) ? (x1[1]+x2[0]) : (x1[0]+x2[1]));
541 //____________________________________________________________________
542 Float_t AliTRDseedV1::GetdQdl(Int_t ic, Float_t *dl) const
544 // Using the linear approximation of the track inside one TRD chamber (TRD tracklet)
545 // the charge per unit length can be written as:
547 // #frac{dq}{dl} = #frac{q_{c}}{dx * #sqrt{1 + #(){#frac{dy}{dx}}^{2}_{fit} + #(){#frac{dz}{dx}}^{2}_{ref}}}
549 // where qc is the total charge collected in the current time bin and dx is the length
551 // The following correction are applied :
552 // - charge : pad row cross corrections
553 // [diffusion and TRF assymetry] TODO
554 // - dx : anisochronity, track inclination - see Fit and AliTRDcluster::GetXloc()
555 // and AliTRDcluster::GetYloc() for the effects taken into account
558 //<img src="TRD/trackletDQDT.gif">
560 // In the picture the energy loss measured on the tracklet as a function of drift time [left] and respectively
561 // drift length [right] for different particle species is displayed.
562 // Author : Alex Bercuci <A.Bercuci@gsi.de>
565 // check whether both clusters are inside the chamber
566 Bool_t hasClusterInChamber = kFALSE;
567 if(fClusters[ic] && fClusters[ic]->IsInChamber()){
568 hasClusterInChamber = kTRUE;
569 dq += TMath::Abs(fClusters[ic]->GetQ());
571 if(fClusters[ic+kNtb] && fClusters[ic+kNtb]->IsInChamber()){
572 hasClusterInChamber = kTRUE;
573 dq += TMath::Abs(fClusters[ic+kNtb]->GetQ());
575 if(!hasClusterInChamber) return 0.;
576 if(dq<1.e-3) return 0.;
579 if(ic-1>=0 && ic+1<kNtb){
580 Float_t x2(0.), x1(0.);
581 // try to estimate upper radial position (find the cluster which is inside the chamber)
582 if(fClusters[ic-1] && fClusters[ic-1]->IsInChamber()) x2 = fClusters[ic-1]->GetX();
583 else if(fClusters[ic-1+kNtb] && fClusters[ic-1+kNtb]->IsInChamber()) x2 = fClusters[ic-1+kNtb]->GetX();
584 else if(fClusters[ic] && fClusters[ic]->IsInChamber()) x2 = fClusters[ic]->GetX()+fdX;
585 else x2 = fClusters[ic+kNtb]->GetX()+fdX;
586 // try to estimate lower radial position (find the cluster which is inside the chamber)
587 if(fClusters[ic+1] && fClusters[ic+1]->IsInChamber()) x1 = fClusters[ic+1]->GetX();
588 else if(fClusters[ic+1+kNtb] && fClusters[ic+1+kNtb]->IsInChamber()) x1 = fClusters[ic+1+kNtb]->GetX();
589 else if(fClusters[ic] && fClusters[ic]->IsInChamber()) x1 = fClusters[ic]->GetX()-fdX;
590 else x1 = fClusters[ic+kNtb]->GetX()-fdX;
594 dx *= TMath::Sqrt(1. + fYfit[1]*fYfit[1] + fZref[1]*fZref[1]);
596 if(dx>1.e-9) return dq/dx;
600 //____________________________________________________________
601 Float_t AliTRDseedV1::GetMomentum(Float_t *err) const
603 // Returns momentum of the track after update with the current tracklet as:
605 // p=#frac{1}{1/p_{t}} #sqrt{1+tgl^{2}}
607 // and optionally the momentum error (if err is not null).
608 // The estimated variance of the momentum is given by:
610 // #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})
612 // which can be simplified to
614 // #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}
618 Double_t p = fPt*TMath::Sqrt(1.+fZref[1]*fZref[1]);
620 Double_t tgl2 = fZref[1]*fZref[1];
621 Double_t pt2 = fPt*fPt;
624 p2*tgl2*pt2*pt2*fRefCov[4]
625 -2.*p2*fZref[1]*fPt*pt2*fRefCov[5]
627 (*err) = TMath::Sqrt(s2);
632 //____________________________________________________________________
633 Float_t AliTRDseedV1::GetOccupancyTB() const
635 // Returns procentage of TB occupied by clusters
638 AliTRDcluster *c(NULL);
639 for(int ic=0; ic<AliTRDtrackerV1::GetNTimeBins(); ic++){
640 if(!(c = fClusters[ic]) && !(c = fClusters[ic+kNtb])) continue;
644 return Float_t(n)/AliTRDtrackerV1::GetNTimeBins();
647 //____________________________________________________________________
648 Float_t* AliTRDseedV1::GetProbability(Bool_t force)
650 if(!force) return &fProb[0];
651 if(!CookPID()) return NULL;
655 //____________________________________________________________
656 Bool_t AliTRDseedV1::CookPID()
658 // Fill probability array for tracklet from the DB.
663 // returns pointer to the probability array and NULL if missing DB access
665 // Retrieve PID probabilities for e+-, mu+-, K+-, pi+- and p+- from the DB according to tracklet information:
666 // - estimated momentum at tracklet reference point
667 // - dE/dx measurements
670 // According to the steering settings specified in the reconstruction one of the following methods are used
671 // - Neural Network [default] - option "nn"
672 // - 2D Likelihood - option "!nn"
674 AliTRDcalibDB *calibration = AliTRDcalibDB::Instance();
676 AliError("No access to calibration data");
680 if (!fkReconstructor) {
681 AliError("Reconstructor not set.");
685 // Retrieve the CDB container class with the parametric detector response
686 const AliTRDCalPID *pd = calibration->GetPIDObject(fkReconstructor->GetPIDMethod());
688 AliError("No access to AliTRDCalPID object");
692 // calculate tracklet length TO DO
693 Float_t length = (AliTRDgeometry::AmThick() + AliTRDgeometry::DrThick())/ TMath::Sqrt((1.0 - GetSnp()*GetSnp()) / (1.0 + GetTgl()*GetTgl()));
696 CookdEdx(AliTRDCalPID::kNSlicesNN);
697 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));
699 // Sets the a priori probabilities
700 Bool_t kPIDNN(fkReconstructor->GetPIDMethod()==AliTRDpidUtil::kNN);
701 for(int ispec=0; ispec<AliPID::kSPECIES; ispec++)
702 fProb[ispec] = pd->GetProbability(ispec, GetMomentum(), &fdEdx[0], length, kPIDNN?GetPlane():fkReconstructor->GetRecoParam()->GetPIDLQslices());
707 //____________________________________________________________________
708 Float_t AliTRDseedV1::GetQuality(Bool_t kZcorr) const
711 // Returns a quality measurement of the current seed
714 Float_t zcorr = kZcorr ? GetTilt() * (fZfit[0] - fZref[0]) : 0.;
716 .5 * TMath::Abs(18.0 - GetN())
717 + 10.* TMath::Abs(fYfit[1] - fYref[1])
718 + 5. * TMath::Abs(fYfit[0] - fYref[0] + zcorr)
719 + 2. * TMath::Abs(fZfit[0] - fZref[0]) / GetPadLength();
722 //____________________________________________________________________
723 void AliTRDseedV1::GetCovAt(Double_t x, Double_t *cov) const
725 // Computes covariance in the y-z plane at radial point x (in tracking coordinates)
726 // and returns the results in the preallocated array cov[3] as :
733 // For the linear transformation
737 // The error propagation has the general form
739 // C_{Y} = T_{x} C_{X} T_{x}^{T}
741 // We apply this formula 2 times. First to calculate the covariance of the tracklet
742 // at point x we consider:
744 // T_{x} = (1 x); X=(y0 dy/dx); C_{X}=#(){#splitline{Var(y0) Cov(y0, dy/dx)}{Cov(y0, dy/dx) Var(dy/dx)}}
746 // and secondly to take into account the tilt angle
748 // T_{#alpha} = #(){#splitline{cos(#alpha) __ sin(#alpha)}{-sin(#alpha) __ cos(#alpha)}}; X=(y z); C_{X}=#(){#splitline{Var(y) 0}{0 Var(z)}}
751 // using simple trigonometrics one can write for this last case
753 // 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})}}
755 // which can be aproximated for small alphas (2 deg) with
757 // 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}}}
760 // before applying the tilt rotation we also apply systematic uncertainties to the tracklet
761 // position which can be tunned from outside via the AliTRDrecoParam::SetSysCovMatrix(). They might
762 // account for extra misalignment/miscalibration uncertainties.
765 // Alex Bercuci <A.Bercuci@gsi.de>
766 // Date : Jan 8th 2009
771 Double_t sy2 = fCov[0] +2.*xr*fCov[1] + xr*xr*fCov[2];
773 //GetPadLength()*GetPadLength()/12.;
775 // insert systematic uncertainties
777 Double_t sys[15]; memset(sys, 0, 15*sizeof(Double_t));
778 fkReconstructor->GetRecoParam()->GetSysCovMatrix(sys);
783 // rotate covariance matrix if no RC
785 Double_t t2 = GetTilt()*GetTilt();
786 Double_t correction = 1./(1. + t2);
787 cov[0] = (sy2+t2*sz2)*correction;
788 cov[1] = GetTilt()*(sz2 - sy2)*correction;
789 cov[2] = (t2*sy2+sz2)*correction;
791 cov[0] = sy2; cov[1] = 0.; cov[2] = sy2;
794 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'));
797 //____________________________________________________________
798 Int_t AliTRDseedV1::GetCovSqrt(const Double_t * const c, Double_t *d)
800 // Helper function to calculate the square root of the covariance matrix.
801 // The input matrix is stored in the vector c and the result in the vector d.
802 // Both arrays have to be initialized by the user with at least 3 elements. Return negative in case of failure.
804 // For calculating the square root of the symmetric matrix c
805 // the following relation is used:
807 // C^{1/2} = VD^{1/2}V^{-1}
809 // with V being the matrix with the n eigenvectors as columns.
810 // In case C is symmetric the followings are true:
811 // - matrix D is diagonal with the diagonal given by the eigenvalues of C
814 // Author A.Bercuci <A.Bercuci@gsi.de>
817 const Double_t kZero(1.e-20);
818 Double_t l[2], // eigenvalues
819 v[3]; // eigenvectors
820 // the secular equation and its solution :
821 // (c[0]-L)(c[2]-L)-c[1]^2 = 0
822 // L^2 - L*Tr(c)+DET(c) = 0
823 // L12 = [Tr(c) +- sqrt(Tr(c)^2-4*DET(c))]/2
824 Double_t tr = c[0]+c[2], // trace
825 det = c[0]*c[2]-c[1]*c[1]; // determinant
826 if(TMath::Abs(det)<kZero) return 1;
827 Double_t dd = TMath::Sqrt(tr*tr - 4*det);
828 l[0] = .5*(tr + dd*(c[0]>c[2]?-1.:1.));
829 l[1] = .5*(tr + dd*(c[0]>c[2]?1.:-1.));
830 if(l[0]<kZero || l[1]<kZero) return 2;
834 Double_t den = (l[0]-c[0])*(l[0]-c[0])+c[1]*c[1];
835 if(den<kZero){ // almost diagonal
836 v[0] = TMath::Sign(0., c[1]);
837 v[1] = TMath::Sign(1., (l[0]-c[0]));
838 v[2] = TMath::Sign(0., c[1]*(l[0]-c[0])*(l[1]-c[2]));
840 Double_t tmp = 1./TMath::Sqrt(den);
842 v[1] = (l[0]-c[0])*tmp;
843 if(TMath::Abs(l[1]-c[2])<kZero) v[2] = TMath::Sign(v[0]*(l[0]-c[0])/kZero, (l[1]-c[2]));
844 else v[2] = v[0]*(l[0]-c[0])/(l[1]-c[2]);
847 l[0] = TMath::Sqrt(l[0]); l[1] = TMath::Sqrt(l[1]);
848 d[0] = v[0]*v[0]*l[0]+v[1]*v[1]*l[1];
849 d[1] = v[0]*v[1]*l[0]+v[1]*v[2]*l[1];
850 d[2] = v[1]*v[1]*l[0]+v[2]*v[2]*l[1];
855 //____________________________________________________________
856 Double_t AliTRDseedV1::GetCovInv(const Double_t * const c, Double_t *d)
858 // Helper function to calculate the inverse of the covariance matrix.
859 // The input matrix is stored in the vector c and the result in the vector d.
860 // Both arrays have to be initialized by the user with at least 3 elements
861 // The return value is the determinant or 0 in case of singularity.
863 // Author A.Bercuci <A.Bercuci@gsi.de>
866 Double_t det = c[0]*c[2] - c[1]*c[1];
867 if(TMath::Abs(det)<1.e-20) return 0.;
868 Double_t invDet = 1./det;
875 //____________________________________________________________________
876 UShort_t AliTRDseedV1::GetVolumeId() const
878 // Returns geometry volume id by delegation
880 for(Int_t ic(0);ic<kNclusters; ic++){
881 if(fClusters[ic]) return fClusters[ic]->GetVolumeId();
887 //____________________________________________________________________
888 void AliTRDseedV1::Calibrate()
890 // Retrieve calibration and position parameters from OCDB.
891 // The following information are used
893 // - column and row position of first attached cluster. If no clusters are attached
894 // to the tracklet a random central chamber position (c=70, r=7) will be used.
896 // The following information is cached in the tracklet
897 // t0 (trigger delay)
900 // omega*tau = tg(a_L)
901 // diffusion coefficients (longitudinal and transversal)
904 // Alex Bercuci <A.Bercuci@gsi.de>
905 // Date : Jan 8th 2009
908 AliCDBManager *cdb = AliCDBManager::Instance();
909 if(cdb->GetRun() < 0){
910 AliError("OCDB manager not properly initialized");
914 AliTRDcalibDB *calib = AliTRDcalibDB::Instance();
915 AliTRDCalROC *vdROC = calib->GetVdriftROC(fDet),
916 *t0ROC = calib->GetT0ROC(fDet);;
917 const AliTRDCalDet *vdDet = calib->GetVdriftDet();
918 const AliTRDCalDet *t0Det = calib->GetT0Det();
920 Int_t col = 70, row = 7;
921 AliTRDcluster **c = &fClusters[0];
924 while (ic<kNclusters && !(*c)){ic++; c++;}
926 col = (*c)->GetPadCol();
927 row = (*c)->GetPadRow();
931 fT0 = (t0Det->GetValue(fDet) + t0ROC->GetValue(col,row)) / AliTRDCommonParam::Instance()->GetSamplingFrequency();
932 fVD = vdDet->GetValue(fDet) * vdROC->GetValue(col, row);
933 fS2PRF = calib->GetPRFWidth(fDet, col, row); fS2PRF *= fS2PRF;
934 fExB = AliTRDCommonParam::Instance()->GetOmegaTau(fVD);
935 AliTRDCommonParam::Instance()->GetDiffCoeff(fDiffL,
937 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));
940 SetBit(kCalib, kTRUE);
943 //____________________________________________________________________
944 void AliTRDseedV1::SetOwner()
946 //AliInfo(Form("own [%s] fOwner[%s]", own?"YES":"NO", fOwner?"YES":"NO"));
948 if(TestBit(kOwner)) return;
949 for(int ic=0; ic<kNclusters; ic++){
950 if(!fClusters[ic]) continue;
951 fClusters[ic] = new AliTRDcluster(*fClusters[ic]);
956 //____________________________________________________________
957 void AliTRDseedV1::SetPadPlane(AliTRDpadPlane * const p)
959 // Shortcut method to initialize pad geometry.
960 fPad[0] = p->GetLengthIPad();
961 fPad[1] = p->GetWidthIPad();
962 fPad[2] = TMath::Tan(TMath::DegToRad()*p->GetTiltingAngle());
963 fPad[3] = p->GetRow0() + p->GetAnodeWireOffset();
967 //____________________________________________________________________
968 Bool_t AliTRDseedV1::AttachClusters(AliTRDtrackingChamber *const chamber, Bool_t tilt)
971 // Projective algorithm to attach clusters to seeding tracklets. The following steps are performed :
972 // 1. Collapse x coordinate for the full detector plane
973 // 2. truncated mean on y (r-phi) direction
975 // 4. truncated mean on z direction
979 // - chamber : pointer to tracking chamber container used to search the tracklet
980 // - tilt : switch for tilt correction during road building [default true]
982 // - true : if tracklet found successfully. Failure can happend because of the following:
984 // Detailed description
986 // We start up by defining the track direction in the xy plane and roads. The roads are calculated based
987 // on tracking information (variance in the r-phi direction) and estimated variance of the standard
988 // clusters (see AliTRDcluster::SetSigmaY2()) corrected for tilt (see GetCovAt()). From this the road is
990 // 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})})}
991 // r_{z} = 1.5*L_{pad}
994 // Author : Alexandru Bercuci <A.Bercuci@gsi.de>
997 const AliTRDrecoParam* const recoParam = fkReconstructor->GetRecoParam(); //the dynamic cast in GetRecoParam is slow, so caching the pointer to it
1000 AliError("Tracklets can not be used without a valid RecoParam.");
1003 // Initialize reco params for this tracklet
1004 // 1. first time bin in the drift region
1006 Int_t kClmin = Int_t(recoParam->GetFindableClusters()*AliTRDtrackerV1::GetNTimeBins());
1008 Double_t sysCov[5]; recoParam->GetSysCovMatrix(sysCov);
1009 Double_t s2yTrk= fRefCov[0],
1011 s2zCl = GetPadLength()*GetPadLength()/12.,
1012 syRef = TMath::Sqrt(s2yTrk),
1013 t2 = GetTilt()*GetTilt();
1015 Double_t kroady = 1., //recoParam->GetRoad1y();
1016 kroadz = GetPadLength() * recoParam->GetRoadzMultiplicator() + 1.;
1017 // define probing cluster (the perfect cluster) and default calibration
1018 Short_t sig[] = {0, 0, 10, 30, 10, 0,0};
1019 AliTRDcluster cp(fDet, 6, 75, 0, sig, 0);
1020 if(fkReconstructor->IsHLT()) cp.SetRPhiMethod(AliTRDcluster::kCOG);
1021 if(!IsCalibrated()) Calibrate();
1024 AliDebug(4, Form("syKalman[%f] rY[%f] rZ[%f]", syRef, kroady, kroadz));
1026 // working variables
1027 const Int_t kNrows = 16;
1028 const Int_t kNcls = 3*kNclusters; // buffer size
1029 AliTRDcluster *clst[kNrows][kNcls];
1030 Bool_t blst[kNrows][kNcls];
1031 Double_t cond[4], dx, dy, yt, zt, yres[kNrows][kNcls];
1032 Int_t idxs[kNrows][kNcls], ncl[kNrows], ncls = 0;
1033 memset(ncl, 0, kNrows*sizeof(Int_t));
1034 memset(yres, 0, kNrows*kNcls*sizeof(Double_t));
1035 memset(blst, 0, kNrows*kNcls*sizeof(Bool_t)); //this is 8 times faster to memset than "memset(clst, 0, kNrows*kNcls*sizeof(AliTRDcluster*))"
1037 // Do cluster projection
1038 AliTRDcluster *c = NULL;
1039 AliTRDchamberTimeBin *layer = NULL;
1040 Bool_t kBUFFER = kFALSE;
1041 for (Int_t it = 0; it < kNtb; it++) {
1042 if(!(layer = chamber->GetTB(it))) continue;
1043 if(!Int_t(*layer)) continue;
1044 // get track projection at layers position
1045 dx = fX0 - layer->GetX();
1046 yt = fYref[0] - fYref[1] * dx;
1047 zt = fZref[0] - fZref[1] * dx;
1048 // get standard cluster error corrected for tilt
1049 cp.SetLocalTimeBin(it);
1050 cp.SetSigmaY2(0.02, fDiffT, fExB, dx, -1./*zt*/, fYref[1]);
1051 s2yCl = (cp.GetSigmaY2() + sysCov[0] + t2*s2zCl)/(1.+t2);
1052 // get estimated road
1053 kroady = 3.*TMath::Sqrt(12.*(s2yTrk + s2yCl));
1055 AliDebug(5, Form(" %2d x[%f] yt[%f] zt[%f]", it, dx, yt, zt));
1057 AliDebug(5, Form(" syTrk[um]=%6.2f syCl[um]=%6.2f syClTlt[um]=%6.2f Ry[mm]=%f", 1.e4*TMath::Sqrt(s2yTrk), 1.e4*TMath::Sqrt(cp.GetSigmaY2()), 1.e4*TMath::Sqrt(s2yCl), 1.e1*kroady));
1060 cond[0] = yt; cond[2] = kroady;
1061 cond[1] = zt; cond[3] = kroadz;
1063 layer->GetClusters(cond, idx, n, 6);
1064 for(Int_t ic = n; ic--;){
1065 c = (*layer)[idx[ic]];
1066 dy = yt - c->GetY();
1067 dy += tilt ? GetTilt() * (c->GetZ() - zt) : 0.;
1068 // select clusters on a 3 sigmaKalman level
1069 /* if(tilt && TMath::Abs(dy) > 3.*syRef){
1070 printf("too large !!!\n");
1073 Int_t r = c->GetPadRow();
1074 AliDebug(5, Form(" -> dy[%f] yc[%f] r[%d]", TMath::Abs(dy), c->GetY(), r));
1075 clst[r][ncl[r]] = c;
1076 blst[r][ncl[r]] = kTRUE;
1077 idxs[r][ncl[r]] = idx[ic];
1078 yres[r][ncl[r]] = dy;
1081 if(ncl[r] >= kNcls) {
1082 AliWarning(Form("Cluster candidates row[%d] reached buffer limit[%d]. Some may be lost.", r, kNcls));
1089 AliDebug(4, Form("Found %d clusters. Processing ...", ncls));
1091 AliDebug(1, Form("CLUSTERS FOUND %d LESS THAN THRESHOLD %d.", ncls, kClmin));
1092 SetErrorMsg(kAttachClFound);
1096 // analyze each row individualy
1097 Bool_t kRowSelection(kFALSE);
1098 Double_t mean[]={1.e3, 1.e3, 1.3}, syDis[]={1.e3, 1.e3, 1.3};
1099 Int_t nrow[] = {0, 0, 0}, rowId[] = {-1, -1, -1}, nr = 0, lr=-1;
1101 for(Int_t ir=0; ir<kNrows; ir++){
1102 if(!(ncl[ir])) continue;
1103 if(lr>0 && ir-lr != 1){
1104 AliDebug(2, "Rows attached not continuous. Turn on selection.");
1105 kRowSelection=kTRUE;
1108 AliDebug(5, Form(" r[%d] n[%d]", ir, ncl[ir]));
1109 // Evaluate truncated mean on the y direction
1110 if(ncl[ir] < 4) continue;
1111 AliMathBase::EvaluateUni(ncl[ir], yres[ir], mean[nr], syDis[nr], Int_t(ncl[ir]*.8));
1113 // TODO check mean and sigma agains cluster resolution !!
1114 AliDebug(4, Form(" m_%d[%+5.3f (%5.3fs)] s[%f]", nr, mean[nr], TMath::Abs(mean[nr]/syDis[nr]), syDis[nr]));
1115 // remove outliers based on a 3 sigmaDistr level
1116 Bool_t kFOUND = kFALSE;
1117 for(Int_t ic = ncl[ir]; ic--;){
1118 if(yres[ir][ic] - mean[nr] > 3. * syDis[nr]){
1119 blst[ir][ic] = kFALSE; continue;
1121 nrow[nr]++; rowId[nr]=ir; kFOUND = kTRUE;
1124 vdy[nr].Use(nrow[nr], yres[ir]);
1127 lr = ir; if(nr>=3) break;
1129 if(recoParam->GetStreamLevel(AliTRDrecoParam::kTracker) > 3 && fkReconstructor->IsDebugStreaming()){
1130 TTreeSRedirector &cstreamer = *fkReconstructor->GetDebugStream(AliTRDrecoParam::kTracker);
1132 if(IsKink()) SETBIT(stat, 1);
1133 if(IsStandAlone()) SETBIT(stat, 2);
1134 cstreamer << "AttachClusters"
1139 << "r0=" << rowId[0]
1140 << "dy0=" << &vdy[0]
1142 << "s0=" << syDis[0]
1143 << "r1=" << rowId[1]
1144 << "dy1=" << &vdy[1]
1146 << "s1=" << syDis[1]
1147 << "r2=" << rowId[2]
1148 << "dy2=" << &vdy[2]
1150 << "s2=" << syDis[2]
1155 // analyze gap in rows attached
1157 SetErrorMsg(kAttachRowGap);
1158 Int_t rowRemove(-1);
1159 if(nr==2){ // select based on minimum distance to track projection
1160 if(TMath::Abs(mean[0])<TMath::Abs(mean[1])){
1161 if(nrow[1]>nrow[0]) AliDebug(2, Form("Conflicting mean[%f < %f] but ncl[%d < %d].", TMath::Abs(mean[0]), TMath::Abs(mean[1]), nrow[0], nrow[1]));
1163 if(nrow[1]<nrow[0]) AliDebug(2, Form("Conflicting mean[%f > %f] but ncl[%d > %d].", TMath::Abs(mean[0]), TMath::Abs(mean[1]), nrow[0], nrow[1]));
1164 Swap(nrow[0],nrow[1]); Swap(rowId[0],rowId[1]);
1165 Swap(mean[0],mean[1]); Swap(syDis[0],syDis[1]);
1168 } else if(nr==3){ // select based on 2 consecutive rows
1169 if(rowId[1]==rowId[0]+1 && rowId[1]!=rowId[2]-1){
1171 } else if(rowId[1]!=rowId[0]+1 && rowId[1]==rowId[2]-1){
1172 Swap(nrow[0],nrow[2]); Swap(rowId[0],rowId[2]);
1173 Swap(mean[0],mean[2]); Swap(syDis[0],syDis[2]);
1177 if(rowRemove>0){nrow[rowRemove]=0; rowId[rowRemove]=-1;}
1179 AliDebug(4, Form(" Ncl[%d[%d] + %d[%d] + %d[%d]]", nrow[0], rowId[0], nrow[1], rowId[1], nrow[2], rowId[2]));
1182 SetBit(kRowCross, kTRUE); // mark pad row crossing
1183 SetErrorMsg(kAttachRow);
1184 const Float_t am[]={TMath::Abs(mean[0]), TMath::Abs(mean[1]), TMath::Abs(mean[2])};
1185 AliDebug(4, Form("complex row configuration\n"
1186 " r[%d] n[%d] m[%6.3f] s[%6.3f]\n"
1187 " r[%d] n[%d] m[%6.3f] s[%6.3f]\n"
1188 " r[%d] n[%d] m[%6.3f] s[%6.3f]\n"
1189 , rowId[0], nrow[0], am[0], syDis[0]
1190 , rowId[1], nrow[1], am[1], syDis[1]
1191 , rowId[2], nrow[2], am[2], syDis[2]));
1192 Int_t id[]={0,1,2}; TMath::Sort(3, am, id, kFALSE);
1194 Int_t rnn[3]; memcpy(rnn, nrow, 3*sizeof(Int_t));
1195 Int_t rid[3]; memcpy(rid, rowId, 3*sizeof(Int_t));
1196 Double_t rm[3]; memcpy(rm, mean, 3*sizeof(Double_t));
1197 Double_t rs[3]; memcpy(rs, syDis, 3*sizeof(Double_t));
1198 nrow[0]=rnn[id[0]]; rowId[0]=rid[id[0]]; mean[0]=rm[id[0]]; syDis[0]=rs[id[0]];
1199 nrow[1]=rnn[id[1]]; rowId[1]=rid[id[1]]; mean[1]=rm[id[1]]; syDis[1]=rs[id[1]];
1200 nrow[2]=0; rowId[2]=-1; mean[2] = 1.e3; syDis[2] = 1.e3;
1201 AliDebug(4, Form("solved configuration\n"
1202 " r[%d] n[%d] m[%+6.3f] s[%6.3f]\n"
1203 " r[%d] n[%d] m[%+6.3f] s[%6.3f]\n"
1204 " r[%d] n[%d] m[%+6.3f] s[%6.3f]\n"
1205 , rowId[0], nrow[0], mean[0], syDis[0]
1206 , rowId[1], nrow[1], mean[1], syDis[1]
1207 , rowId[2], nrow[2], mean[2], syDis[2]));
1210 SetBit(kRowCross, kTRUE); // mark pad row crossing
1211 if(nrow[1] > nrow[0]){ // swap row order
1212 Swap(nrow[0],nrow[1]); Swap(rowId[0],rowId[1]);
1213 Swap(mean[0],mean[1]); Swap(syDis[0],syDis[1]);
1217 // Select and store clusters
1218 // We should consider here :
1219 // 1. How far is the chamber boundary
1220 // 2. How big is the mean
1221 Int_t n(0); Float_t dyc[kNclusters]; memset(dyc,0,kNclusters*sizeof(Float_t));
1222 for (Int_t ir = 0; ir < nr; ir++) {
1223 Int_t jr(rowId[ir]);
1224 AliDebug(4, Form(" Attaching Ncl[%d]=%d ...", jr, ncl[jr]));
1225 for (Int_t ic = 0; ic < ncl[jr]; ic++) {
1226 if(!blst[jr][ic])continue;
1228 Int_t it(c->GetPadTime());
1229 Int_t idx(it+kNtb*ir);
1231 AliDebug(4, Form("Many cluster candidates on row[%2d] tb[%2d].", jr, it));
1232 // TODO should save also the information on where the multiplicity happened and its size
1233 SetErrorMsg(kAttachMultipleCl);
1234 // TODO should also compare with mean and sigma for this row
1235 if(yres[jr][ic] > dyc[idx]) continue;
1238 // TODO proper indexing of clusters !!
1239 fIndexes[idx] = chamber->GetTB(it)->GetGlobalIndex(idxs[jr][ic]);
1241 dyc[idx] = yres[jr][ic];
1247 // number of minimum numbers of clusters expected for the tracklet
1248 if (GetN() < kClmin){
1249 AliDebug(1, Form("NOT ENOUGH CLUSTERS %d ATTACHED TO THE TRACKLET [min %d] FROM FOUND %d.", GetN(), kClmin, n));
1250 SetErrorMsg(kAttachClAttach);
1254 // Load calibration parameters for this tracklet
1257 // calculate dx for time bins in the drift region (calibration aware)
1258 Float_t x[2] = {0.,0.}; Int_t tb[2]={0,0};
1259 for (Int_t it = t0, irp=0; irp<2 && it < AliTRDtrackerV1::GetNTimeBins(); it++) {
1260 if(!fClusters[it]) continue;
1261 x[irp] = fClusters[it]->GetX();
1262 tb[irp] = fClusters[it]->GetLocalTimeBin();
1265 Int_t dtb = tb[1] - tb[0];
1266 fdX = dtb ? (x[0] - x[1]) / dtb : 0.15;
1270 //____________________________________________________________
1271 void AliTRDseedV1::Bootstrap(const AliTRDReconstructor *rec)
1273 // Fill in all derived information. It has to be called after recovery from file or HLT.
1274 // The primitive data are
1275 // - list of clusters
1276 // - detector (as the detector will be removed from clusters)
1277 // - position of anode wire (fX0) - temporary
1278 // - track reference position and direction
1279 // - momentum of the track
1280 // - time bin length [cm]
1282 // A.Bercuci <A.Bercuci@gsi.de> Oct 30th 2008
1284 fkReconstructor = rec;
1286 SetPadPlane(g.GetPadPlane(fDet));
1288 //fSnp = fYref[1]/TMath::Sqrt(1+fYref[1]*fYref[1]);
1290 Int_t n = 0, nshare = 0, nused = 0;
1291 AliTRDcluster **cit = &fClusters[0];
1292 for(Int_t ic = kNclusters; ic--; cit++){
1295 if((*cit)->IsShared()) nshare++;
1296 if((*cit)->IsUsed()) nused++;
1298 SetN(n); SetNUsed(nused); SetNShared(nshare);
1305 //____________________________________________________________________
1306 Bool_t AliTRDseedV1::Fit(UChar_t opt)
1309 // Linear fit of the clusters attached to the tracklet
1312 // - opt : switch for tilt pad correction of cluster y position. Options are
1313 // 0 no correction [default]
1314 // 1 full tilt correction [dz/dx and z0]
1315 // 2 pseudo tilt correction [dz/dx from pad-chamber geometry]
1318 // True if successful
1320 // Detailed description
1322 // Fit in the xy plane
1324 // The fit is performed to estimate the y position of the tracklet and the track
1325 // angle in the bending plane. The clusters are represented in the chamber coordinate
1326 // system (with respect to the anode wire - see AliTRDtrackerV1::FollowBackProlongation()
1327 // on how this is set). The x and y position of the cluster and also their variances
1328 // are known from clusterizer level (see AliTRDcluster::GetXloc(), AliTRDcluster::GetYloc(),
1329 // AliTRDcluster::GetSX() and AliTRDcluster::GetSY()).
1330 // If gaussian approximation is used to calculate y coordinate of the cluster the position
1331 // is recalculated taking into account the track angle. The general formula to calculate the
1332 // error of cluster position in the gaussian approximation taking into account diffusion and track
1333 // inclination is given for TRD by:
1335 // #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}
1338 // Since errors are calculated only in the y directions, radial errors (x direction) are mapped to y
1339 // by projection i.e.
1341 // #sigma_{x|y} = tg(#phi) #sigma_{x}
1343 // and also by the lorentz angle correction
1345 // Fit in the xz plane
1347 // The "fit" is performed to estimate the radial position (x direction) where pad row cross happens.
1348 // If no pad row crossing the z position is taken from geometry and radial position is taken from the xy
1351 // There are two methods to estimate the radial position of the pad row cross:
1352 // 1. leading cluster radial position : Here the lower part of the tracklet is considered and the last
1353 // cluster registered (at radial x0) on this segment is chosen to mark the pad row crossing. The error
1354 // of the z estimate is given by :
1356 // #sigma_{z} = tg(#theta) #Delta x_{x_{0}}/12
1358 // The systematic errors for this estimation are generated by the following sources:
1359 // - no charge sharing between pad rows is considered (sharp cross)
1360 // - missing cluster at row cross (noise peak-up, under-threshold signal etc.).
1362 // 2. charge fit over the crossing point : Here the full energy deposit along the tracklet is considered
1363 // to estimate the position of the crossing by a fit in the qx plane. The errors in the q directions are
1364 // parameterized as s_q = q^2. The systematic errors for this estimation are generated by the following sources:
1365 // - no general model for the qx dependence
1366 // - physical fluctuations of the charge deposit
1367 // - gain calibration dependence
1369 // Estimation of the radial position of the tracklet
1371 // For pad row cross the radial position is taken from the xz fit (see above). Otherwise it is taken as the
1372 // interpolation point of the tracklet i.e. the point where the error in y of the fit is minimum. The error
1373 // in the y direction of the tracklet is (see AliTRDseedV1::GetCovAt()):
1375 // #sigma_{y} = #sigma^{2}_{y_{0}} + 2xcov(y_{0}, dy/dx) + #sigma^{2}_{dy/dx}
1377 // and thus the radial position is:
1379 // x = - cov(y_{0}, dy/dx)/#sigma^{2}_{dy/dx}
1382 // Estimation of tracklet position error
1384 // The error in y direction is the error of the linear fit at the radial position of the tracklet while in the z
1385 // direction is given by the cluster error or pad row cross error. In case of no pad row cross this is given by:
1387 // #sigma_{y} = #sigma^{2}_{y_{0}} - 2cov^{2}(y_{0}, dy/dx)/#sigma^{2}_{dy/dx} + #sigma^{2}_{dy/dx}
1388 // #sigma_{z} = Pad_{length}/12
1390 // For pad row cross the full error is calculated at the radial position of the crossing (see above) and the error
1391 // in z by the width of the crossing region - being a matter of parameterization.
1393 // #sigma_{z} = tg(#theta) #Delta x_{x_{0}}/12
1395 // In case of no tilt correction (default in the barrel tracking) the tilt is taken into account by the rotation of
1396 // the covariance matrix. See AliTRDseedV1::GetCovAt() for details.
1399 // A.Bercuci <A.Bercuci@gsi.de>
1401 if(!fkReconstructor){
1402 AliError("The tracklet needs the reconstruction setup. Please initialize by SetReconstructor().");
1405 if(!IsCalibrated()) Calibrate();
1407 AliWarning(Form("Option [%d] outside range [0, 2]. Using default",opt));
1411 const Int_t kClmin = 8;
1412 const Float_t kScalePulls = 10.; // factor to scale y pulls - NOT UNDERSTOOD
1413 // get track direction
1414 Double_t y0 = fYref[0];
1415 Double_t dydx = fYref[1];
1416 Double_t z0 = fZref[0];
1417 Double_t dzdx = fZref[1];
1419 AliTRDtrackerV1::AliTRDLeastSquare fitterY;
1420 AliTRDtrackerV1::AliTRDLeastSquare fitterZ;
1422 // book cluster information
1423 Double_t qc[kNclusters], xc[kNclusters], yc[kNclusters], zc[kNclusters], sy[kNclusters];
1425 Bool_t tilt(opt==1) // full tilt correction
1426 ,pseudo(opt==2) // pseudo tilt correction
1427 ,rc(IsRowCross()) // row cross candidate
1428 ,kDZDX(IsPrimary());// switch dzdx calculation for barrel primary tracks
1429 Int_t n(0); // clusters used in fit
1430 AliTRDcluster *c(NULL), *cc(NULL), **jc = &fClusters[0];
1431 const AliTRDrecoParam* const recoParam = fkReconstructor->GetRecoParam(); //the dynamic cast in GetRecoParam is slow, so caching the pointer to it
1433 const Char_t *tcName[]={"NONE", "FULL", "HALF"};
1434 AliDebug(2, Form("Options : TC[%s] dzdx[%c]", tcName[opt], kDZDX?'Y':'N'));
1436 for (Int_t ic=0; ic<kNclusters; ic++, ++jc) {
1437 xc[ic] = -1.; yc[ic] = 999.; zc[ic] = 999.; sy[ic] = 0.;
1438 if(!(c = (*jc))) continue;
1439 if(!c->IsInChamber()) continue;
1440 // compute pseudo tilt correction
1442 fZfit[0] = c->GetZ();
1444 for(Int_t kc=AliTRDseedV1::kNtb; kc<AliTRDseedV1::kNclusters; kc++){
1445 if(!(cc=fClusters[kc])) continue;
1446 if(!cc->IsInChamber()) continue;
1447 fZfit[0] += cc->GetZ(); fZfit[0] *= 0.5;
1451 fZfit[1] = fZfit[0]/fX0;
1453 fZfit[0] += fZfit[1]*0.5*AliTRDgeometry::CdrHght();
1454 fZfit[1] = fZfit[0]/fX0;
1460 if(c->GetNPads()>4) w = .5;
1461 if(c->GetNPads()>5) w = .2;
1464 qc[n] = TMath::Abs(c->GetQ());
1465 // pad row of leading
1467 xc[n] = fX0 - c->GetX();
1469 // Recalculate cluster error based on tracking information
1470 c->SetSigmaY2(fS2PRF, fDiffT, fExB, xc[n], -1./*zcorr?zt:-1.*/, dydx);
1471 c->SetSigmaZ2(fPad[0]*fPad[0]/12.); // for HLT
1472 sy[n] = TMath::Sqrt(c->GetSigmaY2());
1474 yc[n] = recoParam->UseGAUS() ?
1475 c->GetYloc(y0, sy[n], GetPadWidth()): c->GetY();
1478 //optional r-phi correction
1479 //printf(" n[%2d] yc[%7.5f] ", n, yc[n]);
1480 Float_t correction(0.);
1481 if(tilt) correction = fPad[2]*(xc[n]*dzdx + zc[n] - z0);
1482 else if(pseudo) correction = fPad[2]*(xc[n]*fZfit[1] + zc[n]-fZfit[0]);
1484 //printf("corr(%s%s)[%7.5f] yc1[%7.5f]\n", (tilt?"TC":""), (zcorr?"PC":""), correction, yc[n]);
1486 AliDebug(5, Form(" tb[%2d] dx[%6.3f] y[%6.2f+-%6.3f]", c->GetLocalTimeBin(), xc[n], yc[n], sy[n]));
1487 fitterY.AddPoint(&xc[n], yc[n], sy[n]);
1488 if(rc) fitterZ.AddPoint(&xc[n], qc[n]*(ic<kNtb?1.:-1.), 1.);
1494 AliDebug(1, Form("Not enough clusters to fit. Clusters: Attached[%d] Fit[%d].", GetN(), n));
1495 SetErrorMsg(kFitCl);
1499 if(!fitterY.Eval()){
1500 AliDebug(1, "Fit Y failed.");
1501 SetErrorMsg(kFitFailedY);
1504 fYfit[0] = fitterY.GetFunctionParameter(0);
1505 fYfit[1] = -fitterY.GetFunctionParameter(1);
1508 fitterY.GetCovarianceMatrix(p);
1509 fCov[0] = kScalePulls*p[1]; // variance of y0
1510 fCov[1] = kScalePulls*p[2]; // covariance of y0, dydx
1511 fCov[2] = kScalePulls*p[0]; // variance of dydx
1512 // the ref radial position is set at the minimum of
1513 // the y variance of the tracklet
1514 fX = -fCov[1]/fCov[2];
1515 fS2Y = fCov[0] +2.*fX*fCov[1] + fX*fX*fCov[2];
1517 Float_t xs=fX+.5*AliTRDgeometry::CamHght();
1518 if(xs < 0. || xs > AliTRDgeometry::CamHght()+AliTRDgeometry::CdrHght()){
1519 AliDebug(1, Form("Ref radial position ouside chamber x[%5.2f].", fX));
1520 SetErrorMsg(kFitFailedY);
1524 /* // THE LEADING CLUSTER METHOD for z fit
1526 Int_t ic=n=kNclusters-1; jc = &fClusters[ic];
1527 AliTRDcluster *c0 =0x0, **kc = &fClusters[kNtb-1];
1528 for(; ic>kNtb; ic--, --jc, --kc){
1529 if((c0 = (*kc)) && c0->IsInChamber() && (xMin>c0->GetX())) xMin = c0->GetX();
1530 if(!(c = (*jc))) continue;
1531 if(!c->IsInChamber()) continue;
1532 zc[kNclusters-1] = c->GetZ();
1533 fX = fX0 - c->GetX();
1535 fZfit[0] = .5*(zc[0]+zc[kNclusters-1]); fZfit[1] = 0.;
1536 // Error parameterization
1537 fS2Z = fdX*fZref[1];
1538 fS2Z *= fS2Z; fS2Z *= 0.2887; // 1/sqrt(12)*/
1541 if(opt!=1 && IsRowCross()){
1542 if(!fitterZ.Eval()) SetErrorMsg(kFitFailedZ);
1543 if(!HasError(kFitFailedZ) && TMath::Abs(fitterZ.GetFunctionParameter(1))>1.e-10){
1544 // TODO - one has to recalculate xy fit based on
1545 // better knowledge of z position
1546 // Double_t x = -fitterZ.GetFunctionParameter(0)/fitterZ.GetFunctionParameter(1);
1547 // Double_t z0 = .5*(zc[0]+zc[n-1]);
1548 // fZfit[0] = z0 + fZfit[1]*x;
1549 // fZfit[1] = fZfit[0]/fX0;
1550 // redo fit on xy plane
1552 // temporary external error parameterization
1553 fS2Z = 0.05+0.4*TMath::Abs(fZref[1]); fS2Z *= fS2Z;
1554 // TODO correct formula
1555 //fS2Z = sigma_x*TMath::Abs(fZref[1]);
1557 //fZfit[0] = zc[0] + dzdx*0.5*AliTRDgeometry::CdrHght();
1558 fS2Z = GetPadLength()*GetPadLength()/12.;
1565 //_____________________________________________________________________________
1566 void AliTRDseedV1::FitMI()
1570 // Marian Ivanov's version
1572 // linear fit on the y direction with respect to the reference direction.
1573 // The residuals for each x (x = xc - x0) are deduced from:
1575 // the tilting correction is written :
1576 // y = yc + h*(zc-zt) (2)
1577 // yt = y0+dy/dx*x (3)
1578 // zt = z0+dz/dx*x (4)
1579 // from (1),(2),(3) and (4)
1580 // dy = yc - y0 - (dy/dx + h*dz/dx)*x + h*(zc-z0)
1581 // the last term introduces the correction on y direction due to tilting pads. There are 2 ways to account for this:
1582 // 1. use tilting correction for calculating the y
1583 // 2. neglect tilting correction here and account for it in the error parametrization of the tracklet.
1584 const Float_t kRatio = 0.8;
1585 const Int_t kClmin = 5;
1586 const Float_t kmaxtan = 2;
1588 if (TMath::Abs(fYref[1]) > kmaxtan){
1589 //printf("Exit: Abs(fYref[1]) = %3.3f, kmaxtan = %3.3f\n", TMath::Abs(fYref[1]), kmaxtan);
1590 return; // Track inclined too much
1593 Float_t sigmaexp = 0.05 + TMath::Abs(fYref[1] * 0.25); // Expected r.m.s in y direction
1594 Float_t ycrosscor = GetPadLength() * GetTilt() * 0.5; // Y correction for crossing
1605 // Buffering: Leave it constant fot Performance issues
1606 Int_t zints[kNtb]; // Histograming of the z coordinate
1607 // Get 1 and second max probable coodinates in z
1608 Int_t zouts[2*kNtb];
1609 Float_t allowedz[kNtb]; // Allowed z for given time bin
1610 Float_t yres[kNtb]; // Residuals from reference
1611 //Float_t anglecor = GetTilt() * fZref[1]; // Correction to the angle
1613 Float_t pos[3*kNtb]; memset(pos, 0, 3*kNtb*sizeof(Float_t));
1614 Float_t *fX = &pos[0], *fY = &pos[kNtb], *fZ = &pos[2*kNtb];
1616 Int_t fN = 0; AliTRDcluster *c = 0x0;
1618 for (Int_t i = 0; i < AliTRDtrackerV1::GetNTimeBins(); i++) {
1620 if (!(c = fClusters[i])) continue;
1621 if(!c->IsInChamber()) continue;
1623 //yres[i] = fY[i] - fYref[0] - (fYref[1] + anglecor) * fX[i] + GetTilt()*(fZ[i] - fZref[0]);
1624 fX[i] = fX0 - c->GetX();
1627 yres[i] = fY[i] - GetTilt()*(fZ[i] - (fZref[0] - fX[i]*fZref[1]));
1628 zints[fN] = Int_t(fZ[i]);
1633 //printf("Exit fN < kClmin: fN = %d\n", fN);
1636 Int_t nz = AliTRDtrackerV1::Freq(fN, zints, zouts, kFALSE);
1637 Float_t fZProb = zouts[0];
1638 if (nz <= 1) zouts[3] = 0;
1639 if (zouts[1] + zouts[3] < kClmin) {
1640 //printf("Exit zouts[1] = %d, zouts[3] = %d\n",zouts[1],zouts[3]);
1644 // Z distance bigger than pad - length
1645 if (TMath::Abs(zouts[0]-zouts[2]) > 12.0) zouts[3] = 0;
1647 Int_t breaktime = -1;
1648 Bool_t mbefore = kFALSE;
1649 Int_t cumul[kNtb][2];
1650 Int_t counts[2] = { 0, 0 };
1652 if (zouts[3] >= 3) {
1655 // Find the break time allowing one chage on pad-rows
1656 // with maximal number of accepted clusters
1659 for (Int_t i = 0; i < AliTRDtrackerV1::GetNTimeBins(); i++) {
1660 cumul[i][0] = counts[0];
1661 cumul[i][1] = counts[1];
1662 if (TMath::Abs(fZ[i]-zouts[0]) < 2) counts[0]++;
1663 if (TMath::Abs(fZ[i]-zouts[2]) < 2) counts[1]++;
1666 for (Int_t i = 0; i < AliTRDtrackerV1::GetNTimeBins(); i++) {
1667 Int_t after = cumul[AliTRDtrackerV1::GetNTimeBins()][0] - cumul[i][0];
1668 Int_t before = cumul[i][1];
1669 if (after + before > maxcount) {
1670 maxcount = after + before;
1674 after = cumul[AliTRDtrackerV1::GetNTimeBins()-1][1] - cumul[i][1];
1675 before = cumul[i][0];
1676 if (after + before > maxcount) {
1677 maxcount = after + before;
1685 for (Int_t i = 0; i < AliTRDtrackerV1::GetNTimeBins()+1; i++) {
1686 if (i > breaktime) allowedz[i] = mbefore ? zouts[2] : zouts[0];
1687 if (i <= breaktime) allowedz[i] = (!mbefore) ? zouts[2] : zouts[0];
1690 if (((allowedz[0] > allowedz[AliTRDtrackerV1::GetNTimeBins()]) && (fZref[1] < 0)) ||
1691 ((allowedz[0] < allowedz[AliTRDtrackerV1::GetNTimeBins()]) && (fZref[1] > 0))) {
1693 // Tracklet z-direction not in correspondance with track z direction
1696 for (Int_t i = 0; i < AliTRDtrackerV1::GetNTimeBins()+1; i++) {
1697 allowedz[i] = zouts[0]; // Only longest taken
1703 // Cross pad -row tracklet - take the step change into account
1705 for (Int_t i = 0; i < AliTRDtrackerV1::GetNTimeBins()+1; i++) {
1706 if (!fClusters[i]) continue;
1707 if(!fClusters[i]->IsInChamber()) continue;
1708 if (TMath::Abs(fZ[i] - allowedz[i]) > 2) continue;
1710 //yres[i] = fY[i] - fYref[0] - (fYref[1] + anglecor) * fX[i] + GetTilt()*(fZ[i] - fZref[0]);
1711 yres[i] = fY[i] - GetTilt()*(fZ[i] - (fZref[0] - fX[i]*fZref[1]));
1712 // if (TMath::Abs(fZ[i] - fZProb) > 2) {
1713 // if (fZ[i] > fZProb) yres[i] += GetTilt() * GetPadLength();
1714 // if (fZ[i] < fZProb) yres[i] -= GetTilt() * GetPadLength();
1719 Double_t yres2[kNtb];
1722 for (Int_t i = 0; i < AliTRDtrackerV1::GetNTimeBins()+1; i++) {
1723 if (!fClusters[i]) continue;
1724 if(!fClusters[i]->IsInChamber()) continue;
1725 if (TMath::Abs(fZ[i] - allowedz[i]) > 2) continue;
1726 yres2[fN2] = yres[i];
1730 //printf("Exit fN2 < kClmin: fN2 = %d\n", fN2);
1734 AliMathBase::EvaluateUni(fN2,yres2,mean,sigma, Int_t(fN2*kRatio-2.));
1735 if (sigma < sigmaexp * 0.8) {
1738 //Float_t fSigmaY = sigma;
1753 for (Int_t i = 0; i < AliTRDtrackerV1::GetNTimeBins()+1; i++) {
1754 if (!fClusters[i]) continue;
1755 if (!fClusters[i]->IsInChamber()) continue;
1756 if (TMath::Abs(fZ[i] - allowedz[i]) > 2){fClusters[i] = 0x0; continue;}
1757 if (TMath::Abs(yres[i] - mean) > 4.0 * sigma){fClusters[i] = 0x0; continue;}
1760 fMPads += fClusters[i]->GetNPads();
1761 Float_t weight = 1.0;
1762 if (fClusters[i]->GetNPads() > 4) weight = 0.5;
1763 if (fClusters[i]->GetNPads() > 5) weight = 0.2;
1767 //printf("x = %7.3f dy = %7.3f fit %7.3f\n", x, yres[i], fY[i]-yres[i]);
1770 sumwx += x * weight;
1771 sumwx2 += x*x * weight;
1772 sumwy += weight * yres[i];
1773 sumwxy += weight * (yres[i]) * x;
1774 sumwz += weight * fZ[i];
1775 sumwxz += weight * fZ[i] * x;
1780 //printf("Exit fN2 < kClmin(2): fN2 = %d\n",fN2);
1784 fMeanz = sumwz / sumw;
1785 Float_t correction = 0;
1787 // Tracklet on boundary
1788 if (fMeanz < fZProb) correction = ycrosscor;
1789 if (fMeanz > fZProb) correction = -ycrosscor;
1792 Double_t det = sumw * sumwx2 - sumwx * sumwx;
1793 fYfit[0] = (sumwx2 * sumwy - sumwx * sumwxy) / det;
1794 fYfit[1] = (sumw * sumwxy - sumwx * sumwy) / det;
1797 for (Int_t i = 0; i < AliTRDtrackerV1::GetNTimeBins()+1; i++) {
1798 if (!TESTBIT(fUsable,i)) continue;
1799 Float_t delta = yres[i] - fYfit[0] - fYfit[1] * fX[i];
1800 fS2Y += delta*delta;
1802 fS2Y = TMath::Sqrt(fS2Y / Float_t(fN2-2));
1803 // TEMPORARY UNTIL covariance properly calculated
1804 fS2Y = TMath::Max(fS2Y, Float_t(.1));
1806 fZfit[0] = (sumwx2 * sumwz - sumwx * sumwxz) / det;
1807 fZfit[1] = (sumw * sumwxz - sumwx * sumwz) / det;
1808 // fYfitR[0] += fYref[0] + correction;
1809 // fYfitR[1] += fYref[1];
1810 // fYfit[0] = fYfitR[0];
1811 fYfit[1] = -fYfit[1];
1816 //___________________________________________________________________
1817 void AliTRDseedV1::Print(Option_t *o) const
1820 // Printing the seedstatus
1823 AliInfo(Form("Det[%3d] X0[%7.2f] Pad{L[%5.2f] W[%5.2f] Tilt[%+6.2f]}", fDet, fX0, GetPadLength(), GetPadWidth(), GetTilt()));
1824 AliInfo(Form("N[%2d] Nused[%2d] Nshared[%2d] [%d]", GetN(), GetNUsed(), GetNShared(), fN));
1825 AliInfo(Form("FLAGS : RC[%c] Kink[%c] SA[%c]", IsRowCross()?'y':'n', IsKink()?'y':'n', IsStandAlone()?'y':'n'));
1826 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));
1828 Double_t cov[3], x=GetX();
1830 AliInfo(" | x[cm] | y[cm] | z[cm] | dydx | dzdx |");
1831 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]));
1832 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]))
1833 AliInfo(Form("P / Pt [GeV/c] = %f / %f", GetMomentum(), fPt));
1834 if(IsStandAlone()) AliInfo(Form("C Rieman / Vertex [1/cm] = %f / %f", fC[0], fC[1]));
1835 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]));
1836 AliInfo(Form("PID = %5.3f / %5.3f / %5.3f / %5.3f / %5.3f", fProb[0], fProb[1], fProb[2], fProb[3], fProb[4]));
1838 if(strcmp(o, "a")!=0) return;
1840 AliTRDcluster* const* jc = &fClusters[0];
1841 for(int ic=0; ic<kNclusters; ic++, jc++) {
1842 if(!(*jc)) continue;
1848 //___________________________________________________________________
1849 Bool_t AliTRDseedV1::IsEqual(const TObject *o) const
1851 // Checks if current instance of the class has the same essential members
1854 if(!o) return kFALSE;
1855 const AliTRDseedV1 *inTracklet = dynamic_cast<const AliTRDseedV1*>(o);
1856 if(!inTracklet) return kFALSE;
1858 for (Int_t i = 0; i < 2; i++){
1859 if ( fYref[i] != inTracklet->fYref[i] ) return kFALSE;
1860 if ( fZref[i] != inTracklet->fZref[i] ) return kFALSE;
1863 if ( TMath::Abs(fS2Y - inTracklet->fS2Y)>1.e-10 ) return kFALSE;
1864 if ( TMath::Abs(GetTilt() - inTracklet->GetTilt())>1.e-10 ) return kFALSE;
1865 if ( TMath::Abs(GetPadLength() - inTracklet->GetPadLength())>1.e-10 ) return kFALSE;
1867 for (Int_t i = 0; i < kNclusters; i++){
1868 // if ( fX[i] != inTracklet->GetX(i) ) return kFALSE;
1869 // if ( fY[i] != inTracklet->GetY(i) ) return kFALSE;
1870 // if ( fZ[i] != inTracklet->GetZ(i) ) return kFALSE;
1871 if ( fIndexes[i] != inTracklet->fIndexes[i] ) return kFALSE;
1873 // if ( fUsable != inTracklet->fUsable ) return kFALSE;
1875 for (Int_t i=0; i < 2; i++){
1876 if ( fYfit[i] != inTracklet->fYfit[i] ) return kFALSE;
1877 if ( fZfit[i] != inTracklet->fZfit[i] ) return kFALSE;
1878 if ( fLabels[i] != inTracklet->fLabels[i] ) return kFALSE;
1881 /* if ( fMeanz != inTracklet->GetMeanz() ) return kFALSE;
1882 if ( fZProb != inTracklet->GetZProb() ) return kFALSE;*/
1883 if ( fN != inTracklet->fN ) return kFALSE;
1884 //if ( fNUsed != inTracklet->fNUsed ) return kFALSE;
1885 //if ( fFreq != inTracklet->GetFreq() ) return kFALSE;
1886 //if ( fNChange != inTracklet->GetNChange() ) return kFALSE;
1888 if ( TMath::Abs(fC[0] - inTracklet->fC[0])>1.e-10 ) return kFALSE;
1889 //if ( fCC != inTracklet->GetCC() ) return kFALSE;
1890 if ( TMath::Abs(fChi2 - inTracklet->fChi2)>1.e-10 ) return kFALSE;
1891 // if ( fChi2Z != inTracklet->GetChi2Z() ) return kFALSE;
1893 if ( fDet != inTracklet->fDet ) return kFALSE;
1894 if ( TMath::Abs(fPt - inTracklet->fPt)>1.e-10 ) return kFALSE;
1895 if ( TMath::Abs(fdX - inTracklet->fdX)>1.e-10 ) return kFALSE;
1897 for (Int_t iCluster = 0; iCluster < kNclusters; iCluster++){
1898 AliTRDcluster *curCluster = fClusters[iCluster];
1899 AliTRDcluster *inCluster = inTracklet->fClusters[iCluster];
1900 if (curCluster && inCluster){
1901 if (! curCluster->IsEqual(inCluster) ) {
1902 curCluster->Print();
1907 // if one cluster exists, and corresponding
1908 // in other tracklet doesn't - return kFALSE
1909 if(curCluster || inCluster) return kFALSE;