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 "TLinearFitter.h"
40 #include "TClonesArray.h" // tmp
41 #include <TTreeStream.h>
44 #include "AliMathBase.h"
45 #include "AliCDBManager.h"
46 #include "AliTracker.h"
48 #include "AliTRDpadPlane.h"
49 #include "AliTRDcluster.h"
50 #include "AliTRDseedV1.h"
51 #include "AliTRDtrackV1.h"
52 #include "AliTRDcalibDB.h"
53 #include "AliTRDchamberTimeBin.h"
54 #include "AliTRDtrackingChamber.h"
55 #include "AliTRDtrackerV1.h"
56 #include "AliTRDReconstructor.h"
57 #include "AliTRDrecoParam.h"
58 #include "AliTRDCommonParam.h"
60 #include "Cal/AliTRDCalPID.h"
61 #include "Cal/AliTRDCalROC.h"
62 #include "Cal/AliTRDCalDet.h"
64 ClassImp(AliTRDseedV1)
66 //____________________________________________________________________
67 AliTRDseedV1::AliTRDseedV1(Int_t det)
94 for(Int_t ic=kNclusters; ic--;) fIndexes[ic] = -1;
95 memset(fClusters, 0, kNclusters*sizeof(AliTRDcluster*));
96 memset(fPad, 0, 3*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 // covariance matrix [diagonal]
107 // default sy = 200um and sz = 2.3 cm
108 fCov[0] = 4.e-4; fCov[1] = 0.; fCov[2] = 5.3;
109 SetStandAlone(kFALSE);
112 //____________________________________________________________________
113 AliTRDseedV1::AliTRDseedV1(const AliTRDseedV1 &ref)
114 :AliTRDtrackletBase((AliTRDtrackletBase&)ref)
138 // Copy Constructor performing a deep copy
143 SetBit(kOwner, kFALSE);
144 SetStandAlone(ref.IsStandAlone());
148 //____________________________________________________________________
149 AliTRDseedV1& AliTRDseedV1::operator=(const AliTRDseedV1 &ref)
152 // Assignment Operator using the copy function
158 SetBit(kOwner, kFALSE);
163 //____________________________________________________________________
164 AliTRDseedV1::~AliTRDseedV1()
167 // Destructor. The RecoParam object belongs to the underlying tracker.
170 //printf("I-AliTRDseedV1::~AliTRDseedV1() : Owner[%s]\n", IsOwner()?"YES":"NO");
173 for(int itb=0; itb<kNclusters; itb++){
174 if(!fClusters[itb]) continue;
175 //AliInfo(Form("deleting c %p @ %d", fClusters[itb], itb));
176 delete fClusters[itb];
177 fClusters[itb] = 0x0;
182 //____________________________________________________________________
183 void AliTRDseedV1::Copy(TObject &ref) const
190 AliTRDseedV1 &target = (AliTRDseedV1 &)ref;
192 target.fReconstructor = fReconstructor;
193 target.fClusterIter = 0x0;
197 target.fS2PRF = fS2PRF;
198 target.fDiffL = fDiffL;
199 target.fDiffT = fDiffT;
200 target.fClusterIdx = 0;
212 target.fChi2 = fChi2;
214 memcpy(target.fIndexes, fIndexes, kNclusters*sizeof(Int_t));
215 memcpy(target.fClusters, fClusters, kNclusters*sizeof(AliTRDcluster*));
216 memcpy(target.fPad, fPad, 3*sizeof(Float_t));
217 target.fYref[0] = fYref[0]; target.fYref[1] = fYref[1];
218 target.fZref[0] = fZref[0]; target.fZref[1] = fZref[1];
219 target.fYfit[0] = fYfit[0]; target.fYfit[1] = fYfit[1];
220 target.fZfit[0] = fZfit[0]; target.fZfit[1] = fZfit[1];
221 memcpy(target.fdEdx, fdEdx, kNslices*sizeof(Float_t));
222 memcpy(target.fProb, fProb, AliPID::kSPECIES*sizeof(Float_t));
223 memcpy(target.fLabels, fLabels, 3*sizeof(Int_t));
224 memcpy(target.fRefCov, fRefCov, 7*sizeof(Double_t));
225 memcpy(target.fCov, fCov, 3*sizeof(Double_t));
231 //____________________________________________________________
232 Bool_t AliTRDseedV1::Init(AliTRDtrackV1 *track)
234 // Initialize this tracklet using the track information
237 // track - the TRD track used to initialize the tracklet
239 // Detailed description
240 // The function sets the starting point and direction of the
241 // tracklet according to the information from the TRD track.
244 // The TRD track has to be propagated to the beginning of the
245 // chamber where the tracklet will be constructed
249 if(!track->GetProlongation(fX0, y, z)) return kFALSE;
255 //_____________________________________________________________________________
256 void AliTRDseedV1::Reset()
261 fExB=0.;fVD=0.;fT0=0.;fS2PRF=0.;
267 fdX=0.;fX0=0.; fX=0.; fY=0.; fZ=0.;
271 for(Int_t ic=kNclusters; ic--;) fIndexes[ic] = -1;
272 memset(fClusters, 0, kNclusters*sizeof(AliTRDcluster*));
273 memset(fPad, 0, 3*sizeof(Float_t));
274 fYref[0] = 0.; fYref[1] = 0.;
275 fZref[0] = 0.; fZref[1] = 0.;
276 fYfit[0] = 0.; fYfit[1] = 0.;
277 fZfit[0] = 0.; fZfit[1] = 0.;
278 memset(fdEdx, 0, kNslices*sizeof(Float_t));
279 for(int ispec=0; ispec<AliPID::kSPECIES; ispec++) fProb[ispec] = -1.;
280 fLabels[0]=-1; fLabels[1]=-1; // most freq MC labels
281 fLabels[2]=0; // number of different labels for tracklet
282 memset(fRefCov, 0, 7*sizeof(Double_t));
283 // covariance matrix [diagonal]
284 // default sy = 200um and sz = 2.3 cm
285 fCov[0] = 4.e-4; fCov[1] = 0.; fCov[2] = 5.3;
288 //____________________________________________________________________
289 void AliTRDseedV1::Update(const AliTRDtrackV1 *trk)
291 // update tracklet reference position from the TRD track
293 Double_t fSnp = trk->GetSnp();
294 Double_t fTgl = trk->GetTgl();
296 Double_t norm =1./TMath::Sqrt(1. - fSnp*fSnp);
297 fYref[1] = fSnp*norm;
298 fZref[1] = fTgl*norm;
299 SetCovRef(trk->GetCovariance());
301 Double_t dx = trk->GetX() - fX0;
302 fYref[0] = trk->GetY() - dx*fYref[1];
303 fZref[0] = trk->GetZ() - dx*fZref[1];
306 //_____________________________________________________________________________
307 void AliTRDseedV1::UpdateUsed()
310 // Calculate number of used clusers in the tracklet
313 Int_t nused = 0, nshared = 0;
314 for (Int_t i = kNclusters; i--; ) {
315 if (!fClusters[i]) continue;
316 if(fClusters[i]->IsUsed()){
318 } else if(fClusters[i]->IsShared()){
319 if(IsStandAlone()) nused++;
327 //_____________________________________________________________________________
328 void AliTRDseedV1::UseClusters()
333 // In stand alone mode:
334 // Clusters which are marked as used or shared from another track are
335 // removed from the tracklet
338 // - Clusters which are used by another track become shared
339 // - Clusters which are attached to a kink track become shared
341 AliTRDcluster **c = &fClusters[0];
342 for (Int_t ic=kNclusters; ic--; c++) {
345 if((*c)->IsShared() || (*c)->IsUsed()){
346 if((*c)->IsShared()) SetNShared(GetNShared()-1);
347 else SetNUsed(GetNUsed()-1);
354 if((*c)->IsUsed() || IsKink()){
365 //____________________________________________________________________
366 void AliTRDseedV1::CookdEdx(Int_t nslices)
368 // Calculates average dE/dx for all slices and store them in the internal array fdEdx.
371 // nslices : number of slices for which dE/dx should be calculated
373 // store results in the internal array fdEdx. This can be accessed with the method
374 // AliTRDseedV1::GetdEdx()
376 // Detailed description
377 // Calculates average dE/dx for all slices. Depending on the PID methode
378 // the number of slices can be 3 (LQ) or 8(NN).
379 // The calculation of dQ/dl are done using the tracklet fit results (see AliTRDseedV1::GetdQdl(Int_t))
381 // The following effects are included in the calculation:
382 // 1. calibration values for t0 and vdrift (using x coordinate to calculate slice)
383 // 2. cluster sharing (optional see AliTRDrecoParam::SetClusterSharing())
387 Int_t nclusters[kNslices];
388 memset(nclusters, 0, kNslices*sizeof(Int_t));
389 memset(fdEdx, 0, kNslices*sizeof(Float_t));
391 const Double_t kDriftLength = (.5 * AliTRDgeometry::AmThick() + AliTRDgeometry::DrThick());
393 AliTRDcluster *c = 0x0;
394 for(int ic=0; ic<AliTRDtrackerV1::GetNTimeBins(); ic++){
395 if(!(c = fClusters[ic]) && !(c = fClusters[ic+kNtb])) continue;
396 Float_t dx = TMath::Abs(fX0 - c->GetX());
398 // Filter clusters for dE/dx calculation
400 // 1.consider calibration effects for slice determination
402 if(dx<kDriftLength){ // TODO should be replaced by c->IsInChamber()
403 slice = Int_t(dx * nslices / kDriftLength);
404 } else slice = c->GetX() < fX0 ? nslices-1 : 0;
407 // 2. take sharing into account
408 Float_t w = /*c->IsShared() ? .5 :*/ 1.;
410 // 3. take into account large clusters TODO
411 //w *= c->GetNPads() > 3 ? .8 : 1.;
414 fdEdx[slice] += w * GetdQdl(ic); //fdQdl[ic];
416 } // End of loop over clusters
418 //if(fReconstructor->GetPIDMethod() == AliTRDReconstructor::kLQPID){
419 if(nslices == AliTRDpidUtil::kLQslices){
420 // calculate mean charge per slice (only LQ PID)
421 for(int is=0; is<nslices; is++){
422 if(nclusters[is]) fdEdx[is] /= nclusters[is];
427 //_____________________________________________________________________________
428 void AliTRDseedV1::CookLabels()
431 // Cook 2 labels for seed
437 for (Int_t i = 0; i < kNclusters; i++) {
438 if (!fClusters[i]) continue;
439 for (Int_t ilab = 0; ilab < 3; ilab++) {
440 if (fClusters[i]->GetLabel(ilab) >= 0) {
441 labels[nlab] = fClusters[i]->GetLabel(ilab);
447 fLabels[2] = AliMathBase::Freq(nlab,labels,out,kTRUE);
449 if ((fLabels[2] > 1) && (out[3] > 1)) fLabels[1] = out[2];
453 //____________________________________________________________________
454 Float_t AliTRDseedV1::GetdQdl(Int_t ic, Float_t *dl) const
456 // Using the linear approximation of the track inside one TRD chamber (TRD tracklet)
457 // the charge per unit length can be written as:
459 // #frac{dq}{dl} = #frac{q_{c}}{dx * #sqrt{1 + #(){#frac{dy}{dx}}^{2}_{fit} + #(){#frac{dy}{dx}}^{2}_{ref}}}
461 // where qc is the total charge collected in the current time bin and dx is the length
463 // The following correction are applied :
464 // - charge : pad row cross corrections
465 // [diffusion and TRF assymetry] TODO
466 // - dx : anisochronity, track inclination - see Fit and AliTRDcluster::GetXloc()
467 // and AliTRDcluster::GetYloc() for the effects taken into account
469 // Author : Alex Bercuci <A.Bercuci@gsi.de>
473 if(!fClusters[ic]->IsInChamber()) return 0.;
474 dq += TMath::Abs(fClusters[ic]->GetQ());
476 if(fClusters[ic+kNtb]) dq += TMath::Abs(fClusters[ic+kNtb]->GetQ());
477 if(dq<1.e-3) return 0.;
481 if(ic-1>=0 && ic+1<kNtb){
482 Float_t x2(0.), x1(0.);
483 // try to estimate upper radial position
484 if(fClusters[ic-1]) x2 = fClusters[ic-1]->GetX();
485 else if(fClusters[ic-1+kNtb]) x2 = fClusters[ic-1+kNtb]->GetX();
486 else if(fClusters[ic]) x2 = fClusters[ic]->GetX()+fdX;
487 else x2 = fClusters[ic+kNtb]->GetX()+fdX;
488 // try to estimate lower radial position
489 if(fClusters[ic+1]) x1 = fClusters[ic+1]->GetX();
490 else if(fClusters[ic+1+kNtb]) x1 = fClusters[ic+1+kNtb]->GetX();
491 else if(fClusters[ic]) x1 = fClusters[ic]->GetX()-fdX;
492 else x1 = fClusters[ic+kNtb]->GetX()-fdX;
496 dx *= TMath::Sqrt(1. + fYfit[1]*fYfit[1] + fZref[1]*fZref[1]);
502 //____________________________________________________________
503 Float_t AliTRDseedV1::GetMomentum(Float_t *err) const
505 // Returns momentum of the track after update with the current tracklet as:
507 // p=#frac{1}{1/p_{t}} #sqrt{1+tgl^{2}}
509 // and optionally the momentum error (if err is not null).
510 // The estimated variance of the momentum is given by:
512 // #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})
514 // which can be simplified to
516 // #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}
520 Double_t p = fPt*TMath::Sqrt(1.+fZref[1]*fZref[1]);
522 Double_t tgl2 = fZref[1]*fZref[1];
523 Double_t pt2 = fPt*fPt;
526 p2*tgl2*pt2*pt2*fRefCov[4]
527 -2.*p2*fZref[1]*fPt*pt2*fRefCov[5]
529 (*err) = TMath::Sqrt(s2);
535 //____________________________________________________________________
536 Float_t* AliTRDseedV1::GetProbability(Bool_t force)
538 if(!force) return &fProb[0];
539 if(!CookPID()) return 0x0;
543 //____________________________________________________________
544 Bool_t AliTRDseedV1::CookPID()
546 // Fill probability array for tracklet from the DB.
551 // returns pointer to the probability array and 0x0 if missing DB access
553 // Detailed description
556 // retrive calibration db
557 AliTRDcalibDB *calibration = AliTRDcalibDB::Instance();
559 AliError("No access to calibration data");
563 if (!fReconstructor) {
564 AliError("Reconstructor not set.");
568 // Retrieve the CDB container class with the parametric detector response
569 const AliTRDCalPID *pd = calibration->GetPIDObject(fReconstructor->GetPIDMethod());
571 AliError("No access to AliTRDCalPID object");
574 //AliInfo(Form("Method[%d] : %s", fReconstructor->GetRecoParam() ->GetPIDMethod(), pd->IsA()->GetName()));
576 // calculate tracklet length TO DO
577 Float_t length = (AliTRDgeometry::AmThick() + AliTRDgeometry::DrThick());
578 /// TMath::Sqrt((1.0 - fSnp[iPlane]*fSnp[iPlane]) / (1.0 + fTgl[iPlane]*fTgl[iPlane]));
581 CookdEdx(fReconstructor->GetNdEdxSlices());
583 // Sets the a priori probabilities
584 for(int ispec=0; ispec<AliPID::kSPECIES; ispec++) {
585 fProb[ispec] = pd->GetProbability(ispec, GetMomentum(), &fdEdx[0], length, GetPlane());
591 //____________________________________________________________________
592 Float_t AliTRDseedV1::GetQuality(Bool_t kZcorr) const
595 // Returns a quality measurement of the current seed
598 Float_t zcorr = kZcorr ? GetTilt() * (fZfit[0] - fZref[0]) : 0.;
600 .5 * TMath::Abs(18.0 - GetN())
601 + 10.* TMath::Abs(fYfit[1] - fYref[1])
602 + 5. * TMath::Abs(fYfit[0] - fYref[0] + zcorr)
603 + 2. * TMath::Abs(fZfit[0] - fZref[0]) / GetPadLength();
606 //____________________________________________________________________
607 void AliTRDseedV1::GetCovAt(Double_t x, Double_t *cov) const
609 // Computes covariance in the y-z plane at radial point x (in tracking coordinates)
610 // and returns the results in the preallocated array cov[3] as :
617 // For the linear transformation
621 // The error propagation has the general form
623 // C_{Y} = T_{x} C_{X} T_{x}^{T}
625 // We apply this formula 2 times. First to calculate the covariance of the tracklet
626 // at point x we consider:
628 // T_{x} = (1 x); X=(y0 dy/dx); C_{X}=#(){#splitline{Var(y0) Cov(y0, dy/dx)}{Cov(y0, dy/dx) Var(dy/dx)}}
630 // and secondly to take into account the tilt angle
632 // T_{#alpha} = #(){#splitline{cos(#alpha) __ sin(#alpha)}{-sin(#alpha) __ cos(#alpha)}}; X=(y z); C_{X}=#(){#splitline{Var(y) 0}{0 Var(z)}}
635 // using simple trigonometrics one can write for this last case
637 // 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})}}
639 // which can be aproximated for small alphas (2 deg) with
641 // 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}}}
644 // before applying the tilt rotation we also apply systematic uncertainties to the tracklet
645 // position which can be tunned from outside via the AliTRDrecoParam::SetSysCovMatrix(). They might
646 // account for extra misalignment/miscalibration uncertainties.
649 // Alex Bercuci <A.Bercuci@gsi.de>
650 // Date : Jan 8th 2009
655 Double_t sy2 = fCov[0] +2.*xr*fCov[1] + xr*xr*fCov[2];
657 //GetPadLength()*GetPadLength()/12.;
659 // insert systematic uncertainties
661 Double_t sys[15]; memset(sys, 0, 15*sizeof(Double_t));
662 fReconstructor->GetRecoParam()->GetSysCovMatrix(sys);
666 // rotate covariance matrix
667 Double_t t2 = GetTilt()*GetTilt();
668 Double_t correction = 1./(1. + t2);
669 cov[0] = (sy2+t2*sz2)*correction;
670 cov[1] = GetTilt()*(sz2 - sy2)*correction;
671 cov[2] = (t2*sy2+sz2)*correction;
673 //printf("C(%6.1f %+6.3f %6.1f) [%s]\n", 1.e4*TMath::Sqrt(cov[0]), cov[1], 1.e4*TMath::Sqrt(cov[2]), IsRowCross()?" RC ":"-");
676 //____________________________________________________________
677 Double_t AliTRDseedV1::GetCovSqrt(Double_t *c, Double_t *d)
679 // Helper function to calculate the square root of the covariance matrix.
680 // The input matrix is stored in the vector c and the result in the vector d.
681 // Both arrays have to be initialized by the user with at least 3 elements. Return negative in case of failure.
683 // For calculating the square root of the symmetric matrix c
684 // the following relation is used:
686 // C^{1/2} = VD^{1/2}V^{-1}
688 // with V being the matrix with the n eigenvectors as columns.
689 // In case C is symmetric the followings are true:
690 // - matrix D is diagonal with the diagonal given by the eigenvalues of C
693 // Author A.Bercuci <A.Bercuci@gsi.de>
696 Double_t L[2], // eigenvalues
697 V[3]; // eigenvectors
698 // the secular equation and its solution :
699 // (c[0]-L)(c[2]-L)-c[1]^2 = 0
700 // L^2 - L*Tr(c)+DET(c) = 0
701 // L12 = [Tr(c) +- sqrt(Tr(c)^2-4*DET(c))]/2
702 Double_t Tr = c[0]+c[2], // trace
703 DET = c[0]*c[2]-c[1]*c[1]; // determinant
704 if(TMath::Abs(DET)<1.e-20) return -1.;
705 Double_t DD = TMath::Sqrt(Tr*Tr - 4*DET);
708 if(L[0]<0. || L[1]<0.) return -1.;
713 Double_t tmp = (L[0]-c[0])/c[1];
714 V[0] = TMath::Sqrt(1./(tmp*tmp+1));
716 V[2] = V[1]*c[1]/(L[1]-c[2]);
718 L[0] = TMath::Sqrt(L[0]); L[1] = TMath::Sqrt(L[1]);
719 d[0] = V[0]*V[0]*L[0]+V[1]*V[1]*L[1];
720 d[1] = V[0]*V[1]*L[0]+V[1]*V[2]*L[1];
721 d[2] = V[1]*V[1]*L[0]+V[2]*V[2]*L[1];
726 //____________________________________________________________
727 Double_t AliTRDseedV1::GetCovInv(Double_t *c, Double_t *d)
729 // Helper function to calculate the inverse of the covariance matrix.
730 // The input matrix is stored in the vector c and the result in the vector d.
731 // Both arrays have to be initialized by the user with at least 3 elements
732 // The return value is the determinant or 0 in case of singularity.
734 // Author A.Bercuci <A.Bercuci@gsi.de>
737 Double_t Det = c[0]*c[2] - c[1]*c[1];
738 if(TMath::Abs(Det)<1.e-20) return 0.;
739 Double_t InvDet = 1./Det;
746 //____________________________________________________________________
747 UShort_t AliTRDseedV1::GetVolumeId() const
750 while(ic<kNclusters && !fClusters[ic]) ic++;
751 return fClusters[ic] ? fClusters[ic]->GetVolumeId() : 0;
755 //____________________________________________________________________
756 void AliTRDseedV1::Calibrate()
758 // Retrieve calibration and position parameters from OCDB.
759 // The following information are used
761 // - column and row position of first attached cluster. If no clusters are attached
762 // to the tracklet a random central chamber position (c=70, r=7) will be used.
764 // The following information is cached in the tracklet
765 // t0 (trigger delay)
768 // omega*tau = tg(a_L)
769 // diffusion coefficients (longitudinal and transversal)
772 // Alex Bercuci <A.Bercuci@gsi.de>
773 // Date : Jan 8th 2009
776 AliCDBManager *cdb = AliCDBManager::Instance();
777 if(cdb->GetRun() < 0){
778 AliError("OCDB manager not properly initialized");
782 AliTRDcalibDB *calib = AliTRDcalibDB::Instance();
783 AliTRDCalROC *vdROC = calib->GetVdriftROC(fDet),
784 *t0ROC = calib->GetT0ROC(fDet);;
785 const AliTRDCalDet *vdDet = calib->GetVdriftDet();
786 const AliTRDCalDet *t0Det = calib->GetT0Det();
788 Int_t col = 70, row = 7;
789 AliTRDcluster **c = &fClusters[0];
792 while (ic<kNclusters && !(*c)){ic++; c++;}
794 col = (*c)->GetPadCol();
795 row = (*c)->GetPadRow();
799 fT0 = t0Det->GetValue(fDet) + t0ROC->GetValue(col,row);
800 fVD = vdDet->GetValue(fDet) * vdROC->GetValue(col, row);
801 fS2PRF = calib->GetPRFWidth(fDet, col, row); fS2PRF *= fS2PRF;
802 fExB = AliTRDCommonParam::Instance()->GetOmegaTau(fVD);
803 AliTRDCommonParam::Instance()->GetDiffCoeff(fDiffL,
805 SetBit(kCalib, kTRUE);
808 //____________________________________________________________________
809 void AliTRDseedV1::SetOwner()
811 //AliInfo(Form("own [%s] fOwner[%s]", own?"YES":"NO", fOwner?"YES":"NO"));
813 if(TestBit(kOwner)) return;
814 for(int ic=0; ic<kNclusters; ic++){
815 if(!fClusters[ic]) continue;
816 fClusters[ic] = new AliTRDcluster(*fClusters[ic]);
821 //____________________________________________________________
822 void AliTRDseedV1::SetPadPlane(AliTRDpadPlane *p)
824 // Shortcut method to initialize pad geometry.
826 SetTilt(TMath::Tan(TMath::DegToRad()*p->GetTiltingAngle()));
827 SetPadLength(p->GetLengthIPad());
828 SetPadWidth(p->GetWidthIPad());
832 //____________________________________________________________________
833 Bool_t AliTRDseedV1::AttachClusters(AliTRDtrackingChamber *chamber, Bool_t tilt)
836 // Projective algorithm to attach clusters to seeding tracklets. The following steps are performed :
837 // 1. Collapse x coordinate for the full detector plane
838 // 2. truncated mean on y (r-phi) direction
840 // 4. truncated mean on z direction
844 // - chamber : pointer to tracking chamber container used to search the tracklet
845 // - tilt : switch for tilt correction during road building [default true]
847 // - true : if tracklet found successfully. Failure can happend because of the following:
849 // Detailed description
851 // We start up by defining the track direction in the xy plane and roads. The roads are calculated based
852 // on tracking information (variance in the r-phi direction) and estimated variance of the standard
853 // clusters (see AliTRDcluster::SetSigmaY2()) corrected for tilt (see GetCovAt()). From this the road is
855 // r_{y} = 3*#sqrt{12*(#sigma^{2}_{Kalman}(y) + #frac{#sigma^{2}_{cl}(y) + tg^{2}(#alpha_{L})#sigma^{2}_{cl}(z)}{1+tg^{2}(#alpha_{L})})}
856 // r_{z} = 1.5*L_{pad}
859 // Author Alexandru Bercuci <A.Bercuci@gsi.de>
861 Bool_t kPRINT = kFALSE;
862 if(!fReconstructor->GetRecoParam() ){
863 AliError("Seed can not be used without a valid RecoParam.");
866 // Initialize reco params for this tracklet
867 // 1. first time bin in the drift region
869 Int_t kClmin = Int_t(fReconstructor->GetRecoParam() ->GetFindableClusters()*AliTRDtrackerV1::GetNTimeBins());
871 Double_t s2yTrk= fRefCov[0],
873 s2zCl = GetPadLength()*GetPadLength()/12.,
874 syRef = TMath::Sqrt(s2yTrk),
875 t2 = GetTilt()*GetTilt();
877 Double_t kroady = 1., //fReconstructor->GetRecoParam() ->GetRoad1y();
878 kroadz = GetPadLength() * 1.5 + 1.;
879 // define probing cluster (the perfect cluster) and default calibration
880 Short_t sig[] = {0, 0, 10, 30, 10, 0,0};
881 AliTRDcluster cp(fDet, 6, 75, 0, sig, 0);
884 if(kPRINT) printf("AttachClusters() sy[%f] road[%f]\n", syRef, kroady);
887 const Int_t kNrows = 16;
888 AliTRDcluster *clst[kNrows][kNclusters];
889 Double_t cond[4], dx, dy, yt, zt,
890 yres[kNrows][kNclusters];
891 Int_t idxs[kNrows][kNclusters], ncl[kNrows], ncls = 0;
892 memset(ncl, 0, kNrows*sizeof(Int_t));
893 memset(clst, 0, kNrows*kNclusters*sizeof(AliTRDcluster*));
895 // Do cluster projection
896 AliTRDcluster *c = 0x0;
897 AliTRDchamberTimeBin *layer = 0x0;
898 Bool_t kBUFFER = kFALSE;
899 for (Int_t it = 0; it < AliTRDtrackerV1::GetNTimeBins(); it++) {
900 if(!(layer = chamber->GetTB(it))) continue;
901 if(!Int_t(*layer)) continue;
902 // get track projection at layers position
903 dx = fX0 - layer->GetX();
904 yt = fYref[0] - fYref[1] * dx;
905 zt = fZref[0] - fZref[1] * dx;
906 // get standard cluster error corrected for tilt
907 cp.SetLocalTimeBin(it);
908 cp.SetSigmaY2(0.02, fDiffT, fExB, dx, -1./*zt*/, fYref[1]);
909 s2yCl = (cp.GetSigmaY2() + t2*s2zCl)/(1.+t2);
910 // get estimated road
911 kroady = 3.*TMath::Sqrt(12.*(s2yTrk + s2yCl));
913 if(kPRINT) printf(" %2d dx[%f] yt[%f] zt[%f] sT[um]=%6.2f sy[um]=%6.2f syTilt[um]=%6.2f yRoad[mm]=%f\n", it, dx, yt, zt, 1.e4*TMath::Sqrt(s2yTrk), 1.e4*TMath::Sqrt(cp.GetSigmaY2()), 1.e4*TMath::Sqrt(s2yCl), 1.e1*kroady);
916 cond[0] = yt; cond[2] = kroady;
917 cond[1] = zt; cond[3] = kroadz;
919 layer->GetClusters(cond, idx, n, 6);
920 for(Int_t ic = n; ic--;){
921 c = (*layer)[idx[ic]];
923 dy += tilt ? GetTilt() * (c->GetZ() - zt) : 0.;
924 // select clusters on a 3 sigmaKalman level
925 /* if(tilt && TMath::Abs(dy) > 3.*syRef){
926 printf("too large !!!\n");
929 Int_t r = c->GetPadRow();
930 if(kPRINT) printf("\t\t%d dy[%f] yc[%f] r[%d]\n", ic, TMath::Abs(dy), c->GetY(), r);
932 idxs[r][ncl[r]] = idx[ic];
933 yres[r][ncl[r]] = dy;
936 if(ncl[r] >= kNclusters) {
937 AliWarning(Form("Cluster candidates reached limit %d. Some may be lost.", kNclusters));
944 if(kPRINT) printf("Found %d clusters\n", ncls);
945 if(ncls<kClmin) return kFALSE;
947 // analyze each row individualy
948 Double_t mean, syDis;
949 Int_t nrow[] = {0, 0, 0}, nr = 0, lr=-1;
950 for(Int_t ir=kNrows; ir--;){
951 if(!(ncl[ir])) continue;
952 if(lr>0 && lr-ir != 1){
953 if(kPRINT) printf("W - gap in rows attached !!\n");
955 if(kPRINT) printf("\tir[%d] lr[%d] n[%d]\n", ir, lr, ncl[ir]);
956 // Evaluate truncated mean on the y direction
957 if(ncl[ir] > 3) AliMathBase::EvaluateUni(ncl[ir], yres[ir], mean, syDis, Int_t(ncl[ir]*.8));
959 mean = 0.; syDis = 0.;
963 // TODO check mean and sigma agains cluster resolution !!
964 if(kPRINT) printf("\tr[%2d] m[%f %5.3fsigma] s[%f]\n", ir, mean, TMath::Abs(mean/syDis), syDis);
965 // select clusters on a 3 sigmaDistr level
966 Bool_t kFOUND = kFALSE;
967 for(Int_t ic = ncl[ir]; ic--;){
968 if(yres[ir][ic] - mean > 3. * syDis){
969 clst[ir][ic] = 0x0; continue;
971 nrow[nr]++; kFOUND = kTRUE;
975 lr = ir; if(nr>=3) break;
977 if(kPRINT) printf("lr[%d] nr[%d] nrow[0]=%d nrow[1]=%d nrow[2]=%d\n", lr, nr, nrow[0], nrow[1], nrow[2]);
979 // classify cluster rows
986 SetBit(kRowCross, kTRUE); // mark pad row crossing
987 if(nrow[0] > nrow[1]){ row = lr+1; lr = -1;}
996 SetBit(kRowCross, kTRUE); // mark pad row crossing
999 if(kPRINT) printf("\trow[%d] n[%d]\n\n", row, nrow[0]);
1000 if(row<0) return kFALSE;
1002 // Select and store clusters
1003 // We should consider here :
1004 // 1. How far is the chamber boundary
1005 // 2. How big is the mean
1007 for (Int_t ir = 0; ir < nr; ir++) {
1008 Int_t jr = row + ir*lr;
1009 if(kPRINT) printf("\tattach %d clusters for row %d\n", ncl[jr], jr);
1010 for (Int_t ic = 0; ic < ncl[jr]; ic++) {
1011 if(!(c = clst[jr][ic])) continue;
1012 Int_t it = c->GetPadTime();
1013 // TODO proper indexing of clusters !!
1014 fIndexes[it+kNtb*ir] = chamber->GetTB(it)->GetGlobalIndex(idxs[jr][ic]);
1015 fClusters[it+kNtb*ir] = c;
1017 //printf("\tid[%2d] it[%d] idx[%d]\n", ic, it, fIndexes[it]);
1023 // number of minimum numbers of clusters expected for the tracklet
1025 //AliWarning(Form("Not enough clusters to fit the tracklet %d [%d].", n, kClmin));
1030 // Load calibration parameters for this tracklet
1033 // calculate dx for time bins in the drift region (calibration aware)
1034 Float_t x[2] = {0.,0.}; Int_t tb[2]={0,0};
1035 for (Int_t it = t0, irp=0; irp<2 && it < AliTRDtrackerV1::GetNTimeBins(); it++) {
1036 if(!fClusters[it]) continue;
1037 x[irp] = fClusters[it]->GetX();
1038 tb[irp] = fClusters[it]->GetLocalTimeBin();
1041 Int_t dtb = tb[1] - tb[0];
1042 fdX = dtb ? (x[0] - x[1]) / dtb : 0.15;
1046 //____________________________________________________________
1047 void AliTRDseedV1::Bootstrap(const AliTRDReconstructor *rec)
1049 // Fill in all derived information. It has to be called after recovery from file or HLT.
1050 // The primitive data are
1051 // - list of clusters
1052 // - detector (as the detector will be removed from clusters)
1053 // - position of anode wire (fX0) - temporary
1054 // - track reference position and direction
1055 // - momentum of the track
1056 // - time bin length [cm]
1058 // A.Bercuci <A.Bercuci@gsi.de> Oct 30th 2008
1060 fReconstructor = rec;
1062 AliTRDpadPlane *pp = g.GetPadPlane(fDet);
1063 fPad[0] = pp->GetLengthIPad();
1064 fPad[1] = pp->GetWidthIPad();
1065 fPad[3] = TMath::Tan(TMath::DegToRad()*pp->GetTiltingAngle());
1066 //fSnp = fYref[1]/TMath::Sqrt(1+fYref[1]*fYref[1]);
1068 Int_t n = 0, nshare = 0, nused = 0;
1069 AliTRDcluster **cit = &fClusters[0];
1070 for(Int_t ic = kNclusters; ic--; cit++){
1073 if((*cit)->IsShared()) nshare++;
1074 if((*cit)->IsUsed()) nused++;
1076 SetN(n); SetNUsed(nused); SetNShared(nshare);
1083 //____________________________________________________________________
1084 Bool_t AliTRDseedV1::Fit(Bool_t tilt, Bool_t zcorr)
1087 // Linear fit of the clusters attached to the tracklet
1090 // - tilt : switch for tilt pad correction of cluster y position based on
1091 // the z, dzdx info from outside [default false].
1092 // - zcorr : switch for using z information to correct for anisochronity
1093 // and a finner error parameterization estimation [default false]
1095 // True if successful
1097 // Detailed description
1099 // Fit in the xy plane
1101 // The fit is performed to estimate the y position of the tracklet and the track
1102 // angle in the bending plane. The clusters are represented in the chamber coordinate
1103 // system (with respect to the anode wire - see AliTRDtrackerV1::FollowBackProlongation()
1104 // on how this is set). The x and y position of the cluster and also their variances
1105 // are known from clusterizer level (see AliTRDcluster::GetXloc(), AliTRDcluster::GetYloc(),
1106 // AliTRDcluster::GetSX() and AliTRDcluster::GetSY()).
1107 // If gaussian approximation is used to calculate y coordinate of the cluster the position
1108 // is recalculated taking into account the track angle. The general formula to calculate the
1109 // error of cluster position in the gaussian approximation taking into account diffusion and track
1110 // inclination is given for TRD by:
1112 // #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}
1115 // Since errors are calculated only in the y directions, radial errors (x direction) are mapped to y
1116 // by projection i.e.
1118 // #sigma_{x|y} = tg(#phi) #sigma_{x}
1120 // and also by the lorentz angle correction
1122 // Fit in the xz plane
1124 // The "fit" is performed to estimate the radial position (x direction) where pad row cross happens.
1125 // If no pad row crossing the z position is taken from geometry and radial position is taken from the xy
1128 // There are two methods to estimate the radial position of the pad row cross:
1129 // 1. leading cluster radial position : Here the lower part of the tracklet is considered and the last
1130 // cluster registered (at radial x0) on this segment is chosen to mark the pad row crossing. The error
1131 // of the z estimate is given by :
1133 // #sigma_{z} = tg(#theta) #Delta x_{x_{0}}/12
1135 // The systematic errors for this estimation are generated by the following sources:
1136 // - no charge sharing between pad rows is considered (sharp cross)
1137 // - missing cluster at row cross (noise peak-up, under-threshold signal etc.).
1139 // 2. charge fit over the crossing point : Here the full energy deposit along the tracklet is considered
1140 // to estimate the position of the crossing by a fit in the qx plane. The errors in the q directions are
1141 // parameterized as s_q = q^2. The systematic errors for this estimation are generated by the following sources:
1142 // - no general model for the qx dependence
1143 // - physical fluctuations of the charge deposit
1144 // - gain calibration dependence
1146 // Estimation of the radial position of the tracklet
1148 // For pad row cross the radial position is taken from the xz fit (see above). Otherwise it is taken as the
1149 // interpolation point of the tracklet i.e. the point where the error in y of the fit is minimum. The error
1150 // in the y direction of the tracklet is (see AliTRDseedV1::GetCovAt()):
1152 // #sigma_{y} = #sigma^{2}_{y_{0}} + 2xcov(y_{0}, dy/dx) + #sigma^{2}_{dy/dx}
1154 // and thus the radial position is:
1156 // x = - cov(y_{0}, dy/dx)/#sigma^{2}_{dy/dx}
1159 // Estimation of tracklet position error
1161 // The error in y direction is the error of the linear fit at the radial position of the tracklet while in the z
1162 // direction is given by the cluster error or pad row cross error. In case of no pad row cross this is given by:
1164 // #sigma_{y} = #sigma^{2}_{y_{0}} - 2cov^{2}(y_{0}, dy/dx)/#sigma^{2}_{dy/dx} + #sigma^{2}_{dy/dx}
1165 // #sigma_{z} = Pad_{length}/12
1167 // For pad row cross the full error is calculated at the radial position of the crossing (see above) and the error
1168 // in z by the width of the crossing region - being a matter of parameterization.
1170 // #sigma_{z} = tg(#theta) #Delta x_{x_{0}}/12
1172 // In case of no tilt correction (default in the barrel tracking) the tilt is taken into account by the rotation of
1173 // the covariance matrix. See AliTRDseedV1::GetCovAt() for details.
1176 // A.Bercuci <A.Bercuci@gsi.de>
1178 if(!IsCalibrated()) Calibrate();
1180 const Int_t kClmin = 8;
1182 // get track direction
1183 Double_t y0 = fYref[0];
1184 Double_t dydx = fYref[1];
1185 Double_t z0 = fZref[0];
1186 Double_t dzdx = fZref[1];
1189 //AliTRDtrackerV1::AliTRDLeastSquare fitterZ;
1190 TLinearFitter fitterY(1, "pol1");
1191 TLinearFitter fitterZ(1, "pol1");
1193 // book cluster information
1194 Double_t qc[kNclusters], xc[kNclusters], yc[kNclusters], zc[kNclusters], sy[kNclusters];
1197 AliTRDcluster *c=0x0, **jc = &fClusters[0];
1198 for (Int_t ic=0; ic<kNtb; ic++, ++jc) {
1203 if(!(c = (*jc))) continue;
1204 if(!c->IsInChamber()) continue;
1207 if(c->GetNPads()>4) w = .5;
1208 if(c->GetNPads()>5) w = .2;
1211 qc[n] = TMath::Abs(c->GetQ());
1212 // pad row of leading
1214 // Radial cluster position
1215 //Int_t jc = TMath::Max(fN-3, 0);
1216 //xc[fN] = c->GetXloc(fT0, fVD, &qc[jc], &xc[jc]/*, z0 - c->GetX()*dzdx*/);
1217 xc[n] = fX0 - c->GetX();
1219 // extrapolated track to cluster position
1220 yt = y0 - xc[n]*dydx;
1221 zt = z0 - xc[n]*dzdx;
1223 // Recalculate cluster error based on tracking information
1224 c->SetSigmaY2(fS2PRF, fDiffT, fExB, xc[n], zcorr?zt:-1., dydx);
1225 sy[n] = TMath::Sqrt(c->GetSigmaY2());
1227 yc[n] = fReconstructor->UseGAUS() ?
1228 c->GetYloc(y0, sy[n], GetPadWidth()): c->GetY();
1230 //optional tilt correction
1231 if(tilt) yc[n] -= (GetTilt()*(zc[n] - zt));
1233 fitterY.AddPoint(&xc[n], yc[n], TMath::Sqrt(sy[n]));
1234 fitterZ.AddPoint(&xc[n], qc[n], 1.);
1238 if (n < kClmin) return kFALSE;
1242 fYfit[0] = fitterY.GetParameter(0);
1243 fYfit[1] = -fitterY.GetParameter(1);
1245 Double_t *p = fitterY.GetCovarianceMatrix();
1246 fCov[0] = p[0]; // variance of y0
1247 fCov[1] = p[1]; // covariance of y0, dydx
1248 fCov[2] = p[3]; // variance of dydx
1249 // the ref radial position is set at the minimum of
1250 // the y variance of the tracklet
1251 fX = -fCov[1]/fCov[2];
1255 // THE LEADING CLUSTER METHOD
1257 Int_t ic=n=kNclusters-1; jc = &fClusters[ic];
1258 AliTRDcluster *c0 =0x0, **kc = &fClusters[kNtb-1];
1259 for(; ic>kNtb; ic--, --jc, --kc){
1260 if((c0 = (*kc)) && c0->IsInChamber() && (xMin>c0->GetX())) xMin = c0->GetX();
1261 if(!(c = (*jc))) continue;
1262 if(!c->IsInChamber()) continue;
1263 zc[kNclusters-1] = c->GetZ();
1264 fX = fX0 - c->GetX();
1266 fZfit[0] = .5*(zc[0]+zc[kNclusters-1]); fZfit[1] = 0.;
1267 // Error parameterization
1268 fS2Z = fdX*fZref[1];
1269 fS2Z *= fS2Z; fS2Z *= 0.2887; // 1/sqrt(12)
1271 // THE FIT X-Q PLANE METHOD
1272 ic=n=kNclusters-1; jc = &fClusters[ic];
1273 for(; ic>kNtb; ic--, --jc){
1274 if(!(c = (*jc))) continue;
1275 if(!c->IsInChamber()) continue;
1276 qc[n] = TMath::Abs(c->GetQ());
1277 xc[n] = fX0 - c->GetX();
1279 fitterZ.AddPoint(&xc[n], -qc[n], 1.);
1284 if(fitterZ.GetParameter(1)!=0.){
1285 fX = -fitterZ.GetParameter(0)/fitterZ.GetParameter(1);
1287 Float_t dl = .5*AliTRDgeometry::CamHght()+AliTRDgeometry::CdrHght();
1289 fX-=.055; // TODO to be understood
1292 fZfit[0] = .5*(zc[0]+zc[kNclusters-1]); fZfit[1] = 0.;
1293 // temporary external error parameterization
1294 fS2Z = 0.05+0.4*TMath::Abs(fZref[1]); fS2Z *= fS2Z;
1295 // TODO correct formula
1296 //fS2Z = sigma_x*TMath::Abs(fZref[1]);
1299 fZfit[0] = zc[0]; fZfit[1] = 0.;
1300 fS2Z = GetPadLength()*GetPadLength()/12.;
1302 fS2Y = fCov[0] +2.*fX*fCov[1] + fX*fX*fCov[2];
1308 //_____________________________________________________________________________
1309 void AliTRDseedV1::FitMI()
1313 // Marian Ivanov's version
1315 // linear fit on the y direction with respect to the reference direction.
1316 // The residuals for each x (x = xc - x0) are deduced from:
1318 // the tilting correction is written :
1319 // y = yc + h*(zc-zt) (2)
1320 // yt = y0+dy/dx*x (3)
1321 // zt = z0+dz/dx*x (4)
1322 // from (1),(2),(3) and (4)
1323 // dy = yc - y0 - (dy/dx + h*dz/dx)*x + h*(zc-z0)
1324 // the last term introduces the correction on y direction due to tilting pads. There are 2 ways to account for this:
1325 // 1. use tilting correction for calculating the y
1326 // 2. neglect tilting correction here and account for it in the error parametrization of the tracklet.
1327 const Float_t kRatio = 0.8;
1328 const Int_t kClmin = 5;
1329 const Float_t kmaxtan = 2;
1331 if (TMath::Abs(fYref[1]) > kmaxtan){
1332 //printf("Exit: Abs(fYref[1]) = %3.3f, kmaxtan = %3.3f\n", TMath::Abs(fYref[1]), kmaxtan);
1333 return; // Track inclined too much
1336 Float_t sigmaexp = 0.05 + TMath::Abs(fYref[1] * 0.25); // Expected r.m.s in y direction
1337 Float_t ycrosscor = GetPadLength() * GetTilt() * 0.5; // Y correction for crossing
1348 // Buffering: Leave it constant fot Performance issues
1349 Int_t zints[kNtb]; // Histograming of the z coordinate
1350 // Get 1 and second max probable coodinates in z
1351 Int_t zouts[2*kNtb];
1352 Float_t allowedz[kNtb]; // Allowed z for given time bin
1353 Float_t yres[kNtb]; // Residuals from reference
1354 //Float_t anglecor = GetTilt() * fZref[1]; // Correction to the angle
1356 Float_t pos[3*kNtb]; memset(pos, 0, 3*kNtb*sizeof(Float_t));
1357 Float_t *fX = &pos[0], *fY = &pos[kNtb], *fZ = &pos[2*kNtb];
1359 Int_t fN = 0; AliTRDcluster *c = 0x0;
1361 for (Int_t i = 0; i < AliTRDtrackerV1::GetNTimeBins(); i++) {
1363 if (!(c = fClusters[i])) continue;
1364 if(!c->IsInChamber()) continue;
1366 //yres[i] = fY[i] - fYref[0] - (fYref[1] + anglecor) * fX[i] + GetTilt()*(fZ[i] - fZref[0]);
1367 fX[i] = fX0 - c->GetX();
1370 yres[i] = fY[i] - GetTilt()*(fZ[i] - (fZref[0] - fX[i]*fZref[1]));
1371 zints[fN] = Int_t(fZ[i]);
1376 //printf("Exit fN < kClmin: fN = %d\n", fN);
1379 Int_t nz = AliTRDtrackerV1::Freq(fN, zints, zouts, kFALSE);
1380 Float_t fZProb = zouts[0];
1381 if (nz <= 1) zouts[3] = 0;
1382 if (zouts[1] + zouts[3] < kClmin) {
1383 //printf("Exit zouts[1] = %d, zouts[3] = %d\n",zouts[1],zouts[3]);
1387 // Z distance bigger than pad - length
1388 if (TMath::Abs(zouts[0]-zouts[2]) > 12.0) zouts[3] = 0;
1390 Int_t breaktime = -1;
1391 Bool_t mbefore = kFALSE;
1392 Int_t cumul[kNtb][2];
1393 Int_t counts[2] = { 0, 0 };
1395 if (zouts[3] >= 3) {
1398 // Find the break time allowing one chage on pad-rows
1399 // with maximal number of accepted clusters
1402 for (Int_t i = 0; i < AliTRDtrackerV1::GetNTimeBins(); i++) {
1403 cumul[i][0] = counts[0];
1404 cumul[i][1] = counts[1];
1405 if (TMath::Abs(fZ[i]-zouts[0]) < 2) counts[0]++;
1406 if (TMath::Abs(fZ[i]-zouts[2]) < 2) counts[1]++;
1409 for (Int_t i = 0; i < AliTRDtrackerV1::GetNTimeBins(); i++) {
1410 Int_t after = cumul[AliTRDtrackerV1::GetNTimeBins()][0] - cumul[i][0];
1411 Int_t before = cumul[i][1];
1412 if (after + before > maxcount) {
1413 maxcount = after + before;
1417 after = cumul[AliTRDtrackerV1::GetNTimeBins()-1][1] - cumul[i][1];
1418 before = cumul[i][0];
1419 if (after + before > maxcount) {
1420 maxcount = after + before;
1428 for (Int_t i = 0; i < AliTRDtrackerV1::GetNTimeBins()+1; i++) {
1429 if (i > breaktime) allowedz[i] = mbefore ? zouts[2] : zouts[0];
1430 if (i <= breaktime) allowedz[i] = (!mbefore) ? zouts[2] : zouts[0];
1433 if (((allowedz[0] > allowedz[AliTRDtrackerV1::GetNTimeBins()]) && (fZref[1] < 0)) ||
1434 ((allowedz[0] < allowedz[AliTRDtrackerV1::GetNTimeBins()]) && (fZref[1] > 0))) {
1436 // Tracklet z-direction not in correspondance with track z direction
1439 for (Int_t i = 0; i < AliTRDtrackerV1::GetNTimeBins()+1; i++) {
1440 allowedz[i] = zouts[0]; // Only longest taken
1446 // Cross pad -row tracklet - take the step change into account
1448 for (Int_t i = 0; i < AliTRDtrackerV1::GetNTimeBins()+1; i++) {
1449 if (!fClusters[i]) continue;
1450 if(!fClusters[i]->IsInChamber()) continue;
1451 if (TMath::Abs(fZ[i] - allowedz[i]) > 2) continue;
1453 //yres[i] = fY[i] - fYref[0] - (fYref[1] + anglecor) * fX[i] + GetTilt()*(fZ[i] - fZref[0]);
1454 yres[i] = fY[i] - GetTilt()*(fZ[i] - (fZref[0] - fX[i]*fZref[1]));
1455 // if (TMath::Abs(fZ[i] - fZProb) > 2) {
1456 // if (fZ[i] > fZProb) yres[i] += GetTilt() * GetPadLength();
1457 // if (fZ[i] < fZProb) yres[i] -= GetTilt() * GetPadLength();
1462 Double_t yres2[kNtb];
1465 for (Int_t i = 0; i < AliTRDtrackerV1::GetNTimeBins()+1; i++) {
1466 if (!fClusters[i]) continue;
1467 if(!fClusters[i]->IsInChamber()) continue;
1468 if (TMath::Abs(fZ[i] - allowedz[i]) > 2) continue;
1469 yres2[fN2] = yres[i];
1473 //printf("Exit fN2 < kClmin: fN2 = %d\n", fN2);
1477 AliMathBase::EvaluateUni(fN2,yres2,mean,sigma, Int_t(fN2*kRatio-2.));
1478 if (sigma < sigmaexp * 0.8) {
1481 //Float_t fSigmaY = sigma;
1496 for (Int_t i = 0; i < AliTRDtrackerV1::GetNTimeBins()+1; i++) {
1497 if (!fClusters[i]) continue;
1498 if (!fClusters[i]->IsInChamber()) continue;
1499 if (TMath::Abs(fZ[i] - allowedz[i]) > 2){fClusters[i] = 0x0; continue;}
1500 if (TMath::Abs(yres[i] - mean) > 4.0 * sigma){fClusters[i] = 0x0; continue;}
1503 fMPads += fClusters[i]->GetNPads();
1504 Float_t weight = 1.0;
1505 if (fClusters[i]->GetNPads() > 4) weight = 0.5;
1506 if (fClusters[i]->GetNPads() > 5) weight = 0.2;
1510 //printf("x = %7.3f dy = %7.3f fit %7.3f\n", x, yres[i], fY[i]-yres[i]);
1513 sumwx += x * weight;
1514 sumwx2 += x*x * weight;
1515 sumwy += weight * yres[i];
1516 sumwxy += weight * (yres[i]) * x;
1517 sumwz += weight * fZ[i];
1518 sumwxz += weight * fZ[i] * x;
1523 //printf("Exit fN2 < kClmin(2): fN2 = %d\n",fN2);
1527 fMeanz = sumwz / sumw;
1528 Float_t correction = 0;
1530 // Tracklet on boundary
1531 if (fMeanz < fZProb) correction = ycrosscor;
1532 if (fMeanz > fZProb) correction = -ycrosscor;
1535 Double_t det = sumw * sumwx2 - sumwx * sumwx;
1536 fYfit[0] = (sumwx2 * sumwy - sumwx * sumwxy) / det;
1537 fYfit[1] = (sumw * sumwxy - sumwx * sumwy) / det;
1540 for (Int_t i = 0; i < AliTRDtrackerV1::GetNTimeBins()+1; i++) {
1541 if (!TESTBIT(fUsable,i)) continue;
1542 Float_t delta = yres[i] - fYfit[0] - fYfit[1] * fX[i];
1543 fS2Y += delta*delta;
1545 fS2Y = TMath::Sqrt(fS2Y / Float_t(fN2-2));
1546 // TEMPORARY UNTIL covariance properly calculated
1547 fS2Y = TMath::Max(fS2Y, Float_t(.1));
1549 fZfit[0] = (sumwx2 * sumwz - sumwx * sumwxz) / det;
1550 fZfit[1] = (sumw * sumwxz - sumwx * sumwz) / det;
1551 // fYfitR[0] += fYref[0] + correction;
1552 // fYfitR[1] += fYref[1];
1553 // fYfit[0] = fYfitR[0];
1554 fYfit[1] = -fYfit[1];
1559 //___________________________________________________________________
1560 void AliTRDseedV1::Print(Option_t *o) const
1563 // Printing the seedstatus
1566 AliInfo(Form("Det[%3d] X0[%7.2f] Pad{L[%5.2f] W[%5.2f] Tilt[%+6.2f]}", fDet, fX0, GetPadLength(), GetPadWidth(), GetTilt()));
1567 AliInfo(Form("N[%2d] Nused[%2d] Nshared[%2d] [%d]", GetN(), GetNUsed(), GetNShared(), fN));
1568 AliInfo(Form("FLAGS : RC[%c] Kink[%c] SA[%c]", IsRowCross()?'y':'n', IsKink()?'y':'n', IsStandAlone()?'y':'n'));
1570 Double_t cov[3], x=GetX();
1572 AliInfo(" | x[cm] | y[cm] | z[cm] | dydx | dzdx |");
1573 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]));
1574 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]))
1577 if(strcmp(o, "a")!=0) return;
1579 AliTRDcluster* const* jc = &fClusters[0];
1580 for(int ic=0; ic<kNclusters; ic++, jc++) {
1581 if(!(*jc)) continue;
1587 //___________________________________________________________________
1588 Bool_t AliTRDseedV1::IsEqual(const TObject *o) const
1590 // Checks if current instance of the class has the same essential members
1593 if(!o) return kFALSE;
1594 const AliTRDseedV1 *inTracklet = dynamic_cast<const AliTRDseedV1*>(o);
1595 if(!inTracklet) return kFALSE;
1597 for (Int_t i = 0; i < 2; i++){
1598 if ( fYref[i] != inTracklet->fYref[i] ) return kFALSE;
1599 if ( fZref[i] != inTracklet->fZref[i] ) return kFALSE;
1602 if ( fS2Y != inTracklet->fS2Y ) return kFALSE;
1603 if ( GetTilt() != inTracklet->GetTilt() ) return kFALSE;
1604 if ( GetPadLength() != inTracklet->GetPadLength() ) return kFALSE;
1606 for (Int_t i = 0; i < kNclusters; i++){
1607 // if ( fX[i] != inTracklet->GetX(i) ) return kFALSE;
1608 // if ( fY[i] != inTracklet->GetY(i) ) return kFALSE;
1609 // if ( fZ[i] != inTracklet->GetZ(i) ) return kFALSE;
1610 if ( fIndexes[i] != inTracklet->fIndexes[i] ) return kFALSE;
1612 // if ( fUsable != inTracklet->fUsable ) return kFALSE;
1614 for (Int_t i=0; i < 2; i++){
1615 if ( fYfit[i] != inTracklet->fYfit[i] ) return kFALSE;
1616 if ( fZfit[i] != inTracklet->fZfit[i] ) return kFALSE;
1617 if ( fLabels[i] != inTracklet->fLabels[i] ) return kFALSE;
1620 /* if ( fMeanz != inTracklet->GetMeanz() ) return kFALSE;
1621 if ( fZProb != inTracklet->GetZProb() ) return kFALSE;*/
1622 if ( fN != inTracklet->fN ) return kFALSE;
1623 //if ( fNUsed != inTracklet->fNUsed ) return kFALSE;
1624 //if ( fFreq != inTracklet->GetFreq() ) return kFALSE;
1625 //if ( fNChange != inTracklet->GetNChange() ) return kFALSE;
1627 if ( fC != inTracklet->fC ) return kFALSE;
1628 //if ( fCC != inTracklet->GetCC() ) return kFALSE;
1629 if ( fChi2 != inTracklet->fChi2 ) return kFALSE;
1630 // if ( fChi2Z != inTracklet->GetChi2Z() ) return kFALSE;
1632 if ( fDet != inTracklet->fDet ) return kFALSE;
1633 if ( fPt != inTracklet->fPt ) return kFALSE;
1634 if ( fdX != inTracklet->fdX ) return kFALSE;
1636 for (Int_t iCluster = 0; iCluster < kNclusters; iCluster++){
1637 AliTRDcluster *curCluster = fClusters[iCluster];
1638 AliTRDcluster *inCluster = inTracklet->fClusters[iCluster];
1639 if (curCluster && inCluster){
1640 if (! curCluster->IsEqual(inCluster) ) {
1641 curCluster->Print();
1646 // if one cluster exists, and corresponding
1647 // in other tracklet doesn't - return kFALSE
1648 if(curCluster || inCluster) return kFALSE;