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1 /**************************************************************************
2  * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
3  *                                                                        *
4  * Author: The ALICE Off-line Project.                                    *
5  * Contributors are mentioned in the code where appropriate.              *
6  *                                                                        *
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  **************************************************************************/
15
16 /*
17 $Log$
18 */
19
20
21  /**************************************************************************
22  *                                                                        *
23  * This class builds AliTPCtrack objects from generated tracks to feed    *
24  * ITS tracking (V2). The AliTPCtrack is built from its first hit in      *
25  * the TPC. The track is assigned a Kalman-like covariance matrix         *
26  * depending on its pT and pseudorapidity and track parameters are        *
27  * smeared according to this covariance matrix.                           *
28  * Output file contains sorted tracks, ready for matching with ITS        *
29  *                                                                        *
30  * For details:                                                           *
31  * http://www.pd.infn.it/alipd/talks/soft/adIII02/TPCtrackingParam.htm    *
32  *                                                                        *
33  * Test macro is: AliBarrelRec_TPCparam.C                                 *   
34  *                                                                        *
35  *  Origin: Andrea Dainese, Padova - e-mail: andrea.dainese@pd.infn.it    * 
36  *                                                                        *
37  **************************************************************************/
38 #include "AliTPCtrackerParam.h"
39 #include "alles.h"
40 #include "AliMagF.h"
41 #include "AliTPCtrack.h"
42 #include "TMatrixD.h"
43 #include "AliKalmanTrack.h"
44 #include "AliMagFCM.h"
45 #include "AliGausCorr.h"
46
47
48 ClassImp(AliTPCtrackerParam)
49
50 //-----------------------------------------------------------------
51 AliTPCtrackerParam::AliTPCtrackerParam(const Int_t coll,const Double_t Bz) 
52 {
53 //-----------------------------------------------------------------
54 // This is the class conctructor 
55 //-----------------------------------------------------------------
56
57   fColl = coll; // collision code (0: PbPb6000)
58   fBz = Bz;     // value of the z component of L3 field (Tesla)
59   
60 }
61 //-----------------------------------------------------------------
62 AliTPCtrackerParam::~AliTPCtrackerParam() 
63 {}
64 //-----------------------------------------------------------------
65
66 Int_t AliTPCtrackerParam::BuildTPCtracks(const TFile *inp, TFile *out, Int_t n)
67 {
68 //----------------------------------------------------------------- 
69 // This function creates the TPC parameterized tracks
70 //-----------------------------------------------------------------
71
72   if(fColl!=0) { 
73     cerr<<"AliTPCtrackerParam::BuildTPCtracks:  Invalid collision!\n";
74     cerr<<"      Available:  0   ->   PbPb6000"<<endl; return 0; 
75   }
76   if(fBz!=0.4) {
77     cerr<<"AliTPCtrackerParam::BuildTPCtracks:  Invalid field!\n";
78     cerr<<"      Available:  0.4"<<endl; return 0;
79   }
80
81   TFile *infile=(TFile*)inp;
82
83   // Get gAlice object from file
84   if(!(gAlice=(AliRun*)infile->Get("gAlice"))) {
85     cerr<<"gAlice has not been found on galice.root !\n";
86     return 1;
87   }
88
89   AliMagFCM *fiel = (AliMagFCM*)gAlice->Field();
90   Double_t fieval=(Double_t)fiel->SolenoidField()/10.;
91   printf("Magnetic field is %6.2f Tesla\n",fieval);
92   if(fBz!=fieval) {
93     cerr<<"AliTPCtrackerParam::BuildTPCtracks:  Invalid field!"<<endl;
94     cerr<<"Field selected is: "<<fBz<<" T\n";
95     cerr<<"Field found on file is: "<<fieval<<" T\n";
96     return 0;
97   }
98
99   AliKalmanTrack::SetConvConst(100/0.299792458/fBz);
100
101
102   // loop over first n events in file
103   for(Int_t evt=0; evt<n; evt++){
104     cerr<<"+++\n+++ Processing event "<<evt<<"\n+++\n";
105
106     AliTPCtrack *tpctrack=0;
107
108     // tree for TPC tracks
109     Char_t tname[100];
110     sprintf(tname,"TreeT_TPC_%d",evt);
111     TTree *tracktree = new TTree(tname,"Tree with TPC tracks");
112     tracktree->Branch("tracks","AliTPCtrack",&tpctrack,20000,0);
113
114     // array for TPC tracks
115     TObjArray tarray(20000);
116
117
118     Int_t nparticles=gAlice->GetEvent(evt);   
119
120     Bool_t done[500000];
121     for(Int_t l=0; l<500000; l++) { done[l]=kFALSE; }
122
123
124     // Get TPC detector 
125     AliTPC *TPC=(AliTPC*)gAlice->GetDetector("TPC");
126     Int_t ver = TPC->IsVersion(); 
127     cerr<<"+++ TPC version "<<ver<<" has been found !\n";
128     AliTPCParam *digp=(AliTPCParam*)infile->Get("75x40_100x60");
129     if(digp){
130       delete digp;
131       digp = new AliTPCParamSR();
132     }
133     else digp=(AliTPCParam*)infile->Get("75x40_100x60_150x60");
134     
135     if(!digp) { cerr<<"TPC parameters have not been found !\n"; return 1; }
136     TPC->SetParam(digp);
137
138     // Get TreeH with hits
139     TTree *TH=gAlice->TreeH(); 
140     Int_t ntracks=(Int_t)TH->GetEntries();
141     cerr<<"+++\n+++ Number of particles in event "<<evt<<":  "<<nparticles<<"\n+++\n+++ Number of \"primary tracks\" (entries in TreeH): "<<ntracks<<"\n+++\n\n";
142
143     TParticle* Part;
144     AliTPChit* tpcHit;
145     Double_t hPx,hPy,hPz,hPt,xg,yg,zg,xl,yl,zl;
146     Double_t alpha;
147     Float_t cosAlpha,sinAlpha;
148     Int_t label,pdg,charge,bin;
149     Int_t tracks=0;
150     //Int_t nSel=0,nAcc=0;
151
152     // loop over entries in TreeH
153     for(Int_t i=0; i<ntracks; i++) {
154       if(i%1000==0) cerr<<"  --- Processing primary track "<<i<<" of "<<ntracks<<" ---\r";
155       TPC->ResetHits();
156       TH->GetEvent(i);
157       // Get FirstHit
158       tpcHit=(AliTPChit*)TPC->FirstHit(-1);
159       for( ; tpcHit; tpcHit=(AliTPChit*)TPC->NextHit() ) {
160         if(tpcHit->fQ !=0.) continue;
161         // Get particle momentum at hit
162         hPx=tpcHit->X(); hPy=tpcHit->Y(); hPz=tpcHit->Z();
163         hPt=TMath::Sqrt(hPx*hPx+hPy*hPy);
164         // reject hits with Pt<mag*0.45 GeV/c
165         if(hPt<(fBz*0.45)) continue;
166
167         // Get track label
168         label=tpcHit->Track();
169         // check if this track has already been processed
170         if(done[label]) continue;
171         // electric charge
172         Part = gAlice->Particle(label);
173         pdg = Part->GetPdgCode();
174         if(pdg>200 || pdg==-11 || pdg==-13) { charge=1; }
175         else if(pdg<-200 || pdg==11 || pdg==13) { charge=-1; }
176         else continue;
177
178
179         if((tpcHit=(AliTPChit*)TPC->NextHit())==0) break;
180         if(tpcHit->fQ != 0.) continue;
181         // Get global coordinates of hit
182         xg=tpcHit->X(); yg=tpcHit->Y(); zg=tpcHit->Z();
183         if(TMath::Sqrt(xg*xg+yg*yg)>90.) continue;
184
185         // Get TPC sector, Alpha angle and local coordinates
186         // printf("Sector %d\n",tpcHit->fSector);
187         digp->AdjustCosSin(tpcHit->fSector,cosAlpha,sinAlpha);
188         alpha = TMath::ATan2(sinAlpha,cosAlpha);
189         xl = xg*cosAlpha + yg*sinAlpha;
190         yl =-xg*sinAlpha + yg*cosAlpha;
191         zl = zg;
192         //printf("Alpha %f   xl %f  yl %f  zl %f\n",Alpha,xl,yl,zl);
193
194         // reject tracks which are not in the TPC acceptance
195         if(TMath::Abs(zl+(244.-xl)*hPz/hPt)>252.) continue;
196
197         // Get bin in pT,eta
198         bin = GetBin(hPt,Part->Eta());
199
200         // Apply selection according to TPC efficiency
201         //if(TMath::Abs(pdg)==211) nAcc++;
202         if(!SelectedTrack(pdg,hPt,Part->Eta())) continue; 
203         //if(TMath::Abs(pdg)==211) nSel++;
204
205         // Mark track as "done"
206         done[label]=kTRUE; tracks++;
207  
208         // create AliTPCtrack object
209         tpctrack = BuildTrack(alpha,xl,yl,zl,hPx,hPy,hPz,hPt,charge,label);
210
211         // put track in array
212         tarray.AddLast(tpctrack);
213
214       }
215  
216     } // loop over entries in TreeH
217
218     TObjArray newtarray(20000);
219
220     // assing covariance matrixes and smear track parameters
221     CookTracks(tarray,newtarray);
222
223     // sort array with TPC tracks (decreasing pT)
224     newtarray.Sort();
225
226
227     Int_t arrentr = newtarray.GetEntriesFast();
228     //printf("\n  %d  \n\n",arrentr);
229     for(Int_t l=0; l<arrentr; l++) {
230       tpctrack=(AliTPCtrack*)newtarray.UncheckedAt(l);
231       tracktree->Fill();
232     }
233
234     // write the tree with tracks in the output file
235     out->cd();
236     tracktree->Write();
237
238     delete tracktree;
239
240     printf("\n\n+++\n+++ Number of TPC tracks: %d\n+++\n",tracks);
241     //printf("Average Eff: %f\n",(Float_t)nSel/nAcc);
242
243   } // loop on events
244
245   return 0;
246 }
247
248 //-----------------------------------------------------------------
249 AliTPCtrack* AliTPCtrackerParam::BuildTrack(Double_t alpha,Double_t x,
250                                             Double_t y,Double_t z,Double_t px,
251                                             Double_t py,Double_t pz,Double_t pt,
252                                             Int_t ch,Int_t lab) const
253 {  
254 //-----------------------------------------------------------------
255 // This function uses GEANT info to set true track parameters
256 //-----------------------------------------------------------------
257   Double_t xref = x;
258   Double_t xx[5],cc[15];
259   cc[0]=cc[2]=cc[5]=cc[9]=cc[14]=10.;
260   cc[1]=cc[3]=cc[4]=cc[6]=cc[7]=cc[8]=cc[10]=cc[11]=cc[12]=cc[13]=0.;
261   
262   // Magnetic field
263   TVector3 bfield(0.,0.,fBz);
264   
265   
266   // radius [cm] of track projection in (x,y) 
267   Double_t rho = pt*100./0.299792458/bfield.Z();
268   // center of track projection in local reference frame
269   TVector3 hmom,hpos;
270
271
272   // position (local) and momentum (local) at the hit
273   // in the bending plane (z=0)
274   hpos.SetXYZ(x,y,0.);
275   hmom.SetXYZ(px*TMath::Cos(alpha)+py*TMath::Sin(alpha),-px*TMath::Sin(alpha)+py*TMath::Cos(alpha),0.);
276   TVector3 vrho = hmom.Cross(bfield);
277   vrho *= ch;
278   vrho.SetMag(rho);
279
280   TVector3 vcenter = hpos+vrho;
281
282   Double_t x0 = vcenter.X();
283
284   // fX     = xref         X-coordinate of this track (reference plane)
285   // fAlpha = Alpha        Rotation angle the local (TPC sector) 
286   // fP0    = YL           Y-coordinate of a track
287   // fP1    = ZG           Z-coordinate of a track
288   // fP2    = C*x0         x0 is center x in rotated frame
289   // fP3    = Tgl          tangent of the track momentum dip angle
290   // fP4    = C            track curvature
291   xx[0] = y;
292   xx[1] = z;
293   xx[3] = pz/pt;
294   xx[4] = -ch/rho;
295   xx[2] = xx[4]*x0;
296
297   // create the object AliTPCtrack    
298   AliTPCtrack* track = new AliTPCtrack(0,xx,cc,xref,alpha);
299   // set the label
300   track->SetLabel(lab);
301
302   return track;
303 }
304
305 //-----------------------------------------------------------------
306 Bool_t AliTPCtrackerParam::SelectedTrack(Int_t pdg,Double_t pt,Double_t eta) 
307  const {
308 //-----------------------------------------------------------------
309 // This function makes a selection according to TPC tracking efficiency
310 //-----------------------------------------------------------------
311
312   Double_t eff=0.;
313   
314   //eff computed with | zl+(244-xl)*pz/pt | < 252
315   Double_t effPi[27] = {0.724587,0.743389,0.619273,0.798477,0.812036,0.823195,0.771437,0.775826,0.784136,0.809071,0.762001,0.774576,0.848834,0.787201,0.792548,0.942089,0.951631,0.951085,0.960885,0.971451,0.969103,0.983245,0.978939,0.988706,0.990852,0.985679,0.993606};
316   Double_t effK[18]  = {0.377934,0.363962,0.321721,0.518784,0.547459,0.517878,0.612704,0.619101,0.620894,0.733411,0.732128,0.750373,0.790630,0.806565,0.791353,0.967486,0.970483,0.974527};
317   Double_t effP[15]  = {0.131173,0.165114,0.229658,0.365357,0.412989,0.483297,0.454614,0.505173,0.658615,0.694753,0.730661,0.815680,0.873461,0.887227,0.899324};
318   Double_t effEl[15] = {0.835549,0.853746,0.718207,0.835230,0.831489,0.862222,0.757783,0.747301,0.824096,0.867949,0.871891,0.808480,0.890625,0.911765,0.973684};
319   Double_t effMu[15] = {0.553486,0.641392,0.609932,0.591126,0.706729,0.750755,0.747952,0.729051,0.760849,0.898810,0.737500,0.830357,0.735294,0.800000,0.882353};
320  
321
322   if(TMath::Abs(pdg)==211)  eff = LinearInterpolation(9,effPi,pt,eta);
323   if(TMath::Abs(pdg)==321)  eff = LinearInterpolation(6,effK,pt,eta);
324   if(TMath::Abs(pdg)==2212) eff = LinearInterpolation(5,effP,pt,eta);
325   if(TMath::Abs(pdg)==11)   eff = LinearInterpolation(5,effEl,pt,eta);
326   if(TMath::Abs(pdg)==13)   eff = LinearInterpolation(5,effMu,pt,eta);
327
328   if(gRandom->Rndm() < eff) return kTRUE;
329
330   return kFALSE;
331 }
332
333 //-----------------------------------------------------------------
334 Double_t AliTPCtrackerParam::LinearInterpolation(Int_t ptBins,Double_t *value,
335                                                  Double_t trkPt,Double_t trkEta) const
336 {
337 //-----------------------------------------------------------------
338 // This function makes a linear interpolation
339 //-----------------------------------------------------------------
340   Double_t intValue=0,intValue1=0,intValue2=0;
341   Int_t etaSide = (TMath::Abs(trkEta)<.45 ? 0 : 1);
342   Double_t eta[3]={0.15,0.45,0.75};
343   Double_t pt[9]={0.244,0.390,0.676,1.190,2.36,4.,6.,10.,20.};
344   if(ptBins==6) pt[5]=10.;
345
346   for(Int_t i=0; i<ptBins; i++) {
347     if(trkPt<pt[i]) {
348       if(i==0) i=1;
349       intValue1 = value[3*i-3+etaSide]+(value[3*i-3+etaSide]-value[3*i+etaSide])/(pt[i-1]-pt[i])*(trkPt-pt[i-1]);
350       intValue2 = value[3*i-3+etaSide+1]+(value[3*i-3+etaSide+1]-value[3*i+etaSide+1])/(pt[i-1]-pt[i])*(trkPt-pt[i-1]);
351
352       intValue = intValue1+(intValue1-intValue2)/(eta[etaSide]-eta[etaSide+1])*(trkEta-eta[etaSide]);
353       break;
354     }
355     if(i==ptBins-1) { 
356       i=ptBins-2;
357       intValue1 = value[3*i-3+etaSide]+(value[3*i-3+etaSide]-value[3*i+etaSide])/(pt[i-1]-pt[i])*(trkPt-pt[i-1]);
358       intValue2 = value[3*i-3+etaSide+1]+(value[3*i-3+etaSide+1]-value[3*i+etaSide+1])/(pt[i-1]-pt[i])*(trkPt-pt[i-1]);
359
360       intValue = intValue1+(intValue1-intValue2)/(eta[etaSide]-eta[etaSide+1])*(trkEta-eta[etaSide]);
361       break;
362     }
363   }
364
365   return intValue;
366 }
367
368 //-----------------------------------------------------------------
369 Int_t AliTPCtrackerParam::GetBin(Double_t pt,Double_t eta) const {
370 //-----------------------------------------------------------------
371 // This function tells bin number in a grid (pT,eta) 
372 //-----------------------------------------------------------------
373   if(TMath::Abs(eta)<0.3) {
374     if(pt<0.3)            return 0;
375     if(pt>=0.3 && pt<0.5) return 3;
376     if(pt>=0.5 && pt<1.)  return 6;
377     if(pt>=1. && pt<1.5)  return 9;
378     if(pt>=1.5 && pt<3.)  return 12;
379     if(pt>=3. && pt<5.)   return 15;
380     if(pt>=5. && pt<7.)   return 18;
381     if(pt>=7. && pt<15.)  return 21;
382     if(pt>=15.)           return 24;
383   }
384   if(TMath::Abs(eta)>=0.3 && TMath::Abs(eta)<0.6) {
385     if(pt<0.3)            return 1;
386     if(pt>=0.3 && pt<0.5) return 4;
387     if(pt>=0.5 && pt<1.)  return 7;
388     if(pt>=1. && pt<1.5)  return 10;
389     if(pt>=1.5 && pt<3.)  return 13;
390     if(pt>=3. && pt<5.)   return 16;
391     if(pt>=5. && pt<7.)   return 19;
392     if(pt>=7. && pt<15.)  return 22;
393     if(pt>=15.)           return 25;
394   }
395   if(TMath::Abs(eta)>=0.6) {
396     if(pt<0.3)            return 2;
397     if(pt>=0.3 && pt<0.5) return 5;
398     if(pt>=0.5 && pt<1.)  return 8;
399     if(pt>=1. && pt<1.5)  return 11;
400     if(pt>=1.5 && pt<3.)  return 14;
401     if(pt>=3. && pt<5.)   return 17;
402     if(pt>=5. && pt<7.)   return 20;
403     if(pt>=7. && pt<15.)  return 23;
404     if(pt>=15.)           return 26;
405   }
406
407   return -1;
408
409 }
410
411 //-----------------------------------------------------------------
412 TMatrixD AliTPCtrackerParam::GetSmearingMatrix(Double_t* cc,Double_t pt,Double_t eta) const
413 {
414 //-----------------------------------------------------------------
415 // This function stretches the covariance matrix according to the pulls
416 //-----------------------------------------------------------------
417   TMatrixD covMat(5,5);
418
419   covMat(0,0)=cc[0];
420   covMat(1,0)=cc[1];  covMat(0,1)=covMat(1,0);
421   covMat(1,1)=cc[2];
422   covMat(2,0)=cc[3];  covMat(0,2)=covMat(2,0);
423   covMat(2,1)=cc[4];  covMat(1,2)=covMat(2,1);
424   covMat(2,2)=cc[5];
425   covMat(3,0)=cc[6];  covMat(0,3)=covMat(3,0);
426   covMat(3,1)=cc[7];  covMat(1,3)=covMat(3,1);
427   covMat(3,2)=cc[8];  covMat(2,3)=covMat(3,2);
428   covMat(3,3)=cc[9];
429   covMat(4,0)=cc[10]; covMat(0,4)=covMat(4,0);
430   covMat(4,1)=cc[11]; covMat(1,4)=covMat(4,1);
431   covMat(4,2)=cc[12]; covMat(2,4)=covMat(4,2);
432   covMat(4,3)=cc[13]; covMat(3,4)=covMat(4,3);
433   covMat(4,4)=cc[14];
434
435   TMatrixD stretchMat(5,5);
436   for(Int_t k=0;k<5;k++) {
437     for(Int_t l=0;l<5;l++) {
438       stretchMat(k,l)=0.;
439     }
440   }
441
442   
443   Double_t s00[27]={1.3553,1.2973,1.2446,1.3428,1.3031,1.2345,1.3244,1.2681,1.2046,1.3046,1.2430,1.1606,1.2462,1.2104,1.1082,1.2207,1.1189,1.0789,1.2079,1.1300,1.0426,1.1502,1.1122,1.0559,1.1419,1.1072,1.0208};
444   Double_t s11[27]={1.0890,1.1463,1.2313,1.1149,1.1597,1.2280,1.1225,1.1584,1.2329,1.1149,1.1550,1.2369,1.1095,1.1353,1.2050,1.0649,1.0858,1.1546,1.0663,1.0672,1.1340,1.0416,1.0738,1.0945,1.0663,1.0654,1.0909};
445   Double_t s22[27]={1.1709,1.1367,1.0932,1.2247,1.1832,1.1247,1.2470,1.2017,1.1441,1.2202,1.1653,1.1050,1.1819,1.1269,1.0583,1.1546,1.0621,0.9928,1.1305,1.0512,0.9576,1.0995,1.0445,0.9884,1.0968,1.0368,0.9574};
446   Double_t s33[27]={0.9720,0.9869,1.0271,1.0030,1.0223,1.0479,1.0164,1.0305,1.0559,1.0339,1.0450,1.0686,1.0450,1.0507,1.0784,1.0334,1.0208,1.0863,1.0252,1.0114,1.0835,0.9854,1.0144,1.0507,1.0124,1.0159,1.0464};
447   Double_t s44[27]={1.1104,1.0789,1.0479,1.1597,1.1234,1.0728,1.2087,1.1602,1.1041,1.1942,1.1428,1.0831,1.1572,1.1036,1.0431,1.1296,1.0498,0.9844,1.1145,1.0266,0.9489,1.0959,1.0450,0.9875,1.0775,1.0266,0.9406};
448
449
450   stretchMat(0,0) = LinearInterpolation(9,s00,pt,eta); 
451   stretchMat(1,1) = LinearInterpolation(9,s11,pt,eta); 
452   stretchMat(2,2) = LinearInterpolation(9,s22,pt,eta); 
453   stretchMat(3,3) = LinearInterpolation(9,s33,pt,eta); 
454   stretchMat(4,4) = LinearInterpolation(9,s44,pt,eta); 
455
456   TMatrixD mat(stretchMat,TMatrixD::kMult,covMat);
457   TMatrixD covMatSmear(mat,TMatrixD::kMult,stretchMat);
458
459
460   return covMatSmear;
461 }
462
463 //-----------------------------------------------------------------
464 void AliTPCtrackerParam::SmearTrack(Double_t* xx,Double_t* xxsm,TMatrixD cov)  const {
465 //-----------------------------------------------------------------
466 // This function smears track parameters according to streched cov. matrix
467 //-----------------------------------------------------------------
468   AliGausCorr *corgen = new AliGausCorr(cov,5);
469   TArrayD corr(5);
470   corgen->GetGaussN(corr);
471   delete corgen;
472   corgen = 0;
473
474   for(Int_t l=0;l<5;l++) {
475     xxsm[l] = xx[l]+corr[l];
476   }
477
478   return;
479 }
480
481 //-----------------------------------------------------------------
482 void AliTPCtrackerParam::CookTracks(TObjArray& tarray,TObjArray& newtarray) 
483 const {
484 //-----------------------------------------------------------------
485 // This function deals with covariance matrix and smearing
486 //-----------------------------------------------------------------
487
488   TString s("$ALICE_ROOT/TPC/CovMatrixDB_");
489   if(fColl==0) s.Append("PbPb6000");
490   if(fBz==0.4) s.Append("_B0.4T.root");  
491   // open file with matrixes DB
492   TFile* fileDB = TFile::Open(s.Data());  
493
494   AliTPCtrack* track = 0;
495   Int_t arrayEntries = (Int_t)tarray.GetEntriesFast();
496
497   for(Int_t k=0; k<arrayEntries; k++) {
498     track=(AliTPCtrack*)tarray.UncheckedAt(k);  
499
500     Double_t pt = 1/TMath::Abs(track->Get1Pt());
501     Double_t eta = -TMath::Log(TMath::Tan(0.25*TMath::Pi()-0.5*TMath::ATan(track->GetTgl())));
502
503     Int_t bin = GetBin(pt,eta);
504
505     // string with tree name
506     TString str("Tree_bin");
507     str+=bin;
508  
509     // get the right tree
510     TTree* covTree = (TTree*)fileDB->Get(str.Data());
511     TArrayF* matrix = new TArrayF; 
512     covTree->SetBranchAddress("matrixes",&matrix);
513
514     // get random entry from the tree
515     Int_t treeEntries = (Int_t)covTree->GetEntries();
516     covTree->GetEvent(gRandom->Integer(treeEntries));
517
518     Double_t xref,alpha,xx[5],xxsm[5],cc[15];
519     Int_t lab;
520     // get P and Cosl from track
521     Double_t cosl = TMath::Cos(TMath::ATan(track->GetTgl()));
522     Double_t p = 1/TMath::Abs(track->Get1Pt())/cosl;
523     
524     // get covariance matrix from regularized matrix
525     cc[0]=matrix->At(0)*(1.588e-3+1.911e-4/TMath::Power(p,1.5));
526     cc[1]=matrix->At(1);
527     cc[2]=matrix->At(2)*(1.195e-3+0.8102e-3/p);
528     cc[3]=matrix->At(3)*(7.275e-5+1.181e-5/TMath::Power(p,1.5));
529     cc[4]=matrix->At(4);
530     cc[5]=matrix->At(5)*(5.163e-6+1.138e-6/TMath::Power(p,2.)/cosl);
531     cc[6]=matrix->At(6);
532     cc[7]=matrix->At(7)*(1.176e-5+1.175e-5/TMath::Power(p,1.5)/cosl/cosl/cosl);
533     cc[8]=matrix->At(8);
534     cc[9]=matrix->At(9)*(1.289e-7+4.636e-7/TMath::Power(p,1.7)/cosl/cosl/cosl/cosl);
535     cc[10]=matrix->At(10)*(4.056e-7+4.379e-8/TMath::Power(p,1.5));
536     cc[11]=matrix->At(11);
537     cc[12]=matrix->At(12)*(3.049e-8+8.244e-9/TMath::Power(p,2.)/cosl);
538     cc[13]=matrix->At(13);
539     cc[14]=matrix->At(14)*(1.847e-10+5.822e-11/TMath::Power(p,2.)/cosl/cosl/cosl);
540   
541     TMatrixD covMatSmear(5,5);
542     
543     covMatSmear = GetSmearingMatrix(cc,pt,eta);
544
545     // get track original parameters
546     xref=track->GetX();
547     alpha=track->GetAlpha();
548     xx[0]=track->GetY();
549     xx[1]=track->GetZ();
550     xx[2]=track->GetX()*track->GetC()-track->GetSnp();
551     xx[3]=track->GetTgl();
552     xx[4]=track->GetC();
553     lab=track->GetLabel();
554
555     // use smearing matrix to smear the original parameters
556     SmearTrack(xx,xxsm,covMatSmear);
557
558     AliTPCtrack* tpctrack = new AliTPCtrack(0,xxsm,cc,xref,alpha);
559     tpctrack->SetLabel(lab);
560
561     // fill the array
562     newtarray.AddLast(tpctrack);
563  
564     delete matrix;  
565
566   }
567
568   fileDB->Close();
569   delete fileDB;
570
571
572   return; 
573 }
574 //-----------------------------------------------------------------
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