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46d29e70 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
0fa7dfa7 16/* $Id$ */
46d29e70 17
a2cb5b3d 18#include <Riostream.h>
5443e65e 19#include <TObject.h>
46d29e70 20
46d29e70 21#include "AliTRDgeometry.h"
22#include "AliTRDcluster.h"
23#include "AliTRDtrack.h"
3c625a9b 24#include "AliTRDclusterCorrection.h"
3fad3d32 25#include "AliTrackReference.h"
b3a5a838 26
7ad19338 27ClassImp(AliTRDtracklet)
46d29e70 28ClassImp(AliTRDtrack)
29
7ad19338 30
7865e332 31 AliTRDtracklet::AliTRDtracklet():fY(0),fZ(0),fX(0),fAlpha(0),fSigma2(0),fP0(0),fP1(0),fNFound(0),fNCross(0),fPlane(0),fExpectedSigma2(0),fChi2(0),fTilt(0),fMaxPos(0),fMaxPos4(0),fMaxPos5(0){
7ad19338 32}
33
46d29e70 34//_____________________________________________________________________________
35
a819a5f7 36AliTRDtrack::AliTRDtrack(const AliTRDcluster *c, UInt_t index,
5443e65e 37 const Double_t xx[5], const Double_t cc[15],
7ad19338 38 Double_t xref, Double_t alpha) : AliKalmanTrack() {
46d29e70 39 //-----------------------------------------------------------------
40 // This is the main track constructor.
41 //-----------------------------------------------------------------
5443e65e 42
43 fSeedLab = -1;
46d29e70 44
45 fAlpha=alpha;
5443e65e 46 if (fAlpha<-TMath::Pi()) fAlpha += 2*TMath::Pi();
47 if (fAlpha>=TMath::Pi()) fAlpha -= 2*TMath::Pi();
48
46d29e70 49 fX=xref;
50
b3a5a838 51 fY=xx[0]; fZ=xx[1]; fE=xx[2]; fT=xx[3]; fC=xx[4];
c84a5e9e 52
53 SaveLocalConvConst();
46d29e70 54
55 fCyy=cc[0];
56 fCzy=cc[1]; fCzz=cc[2];
b3a5a838 57 fCey=cc[3]; fCez=cc[4]; fCee=cc[5];
58 fCty=cc[6]; fCtz=cc[7]; fCte=cc[8]; fCtt=cc[9];
b8dc2353 59 fCcy=cc[10]; fCcz=cc[11]; fCce=cc[12]; fCct=cc[13]; fCcc=cc[14];
60
5443e65e 61 fIndex[0]=index;
62 SetNumberOfClusters(1);
63
64 fdEdx=0.;
03b0452e 65 fdEdxT=0.;
3fad3d32 66 fDE=0.;
eab5961e 67 for (Int_t i=0;i<kNPlane;i++){
68 fdEdxPlane[i] = 0.;
69 fTimBinPlane[i] = -1;
70 }
a2b90f83 71
b3a5a838 72 fLhElectron = 0.0;
9c9d2487 73 fNWrong = 0;
74 fNRotate = 0;
3c625a9b 75 fStopped = 0;
4f1c04d3 76 fNCross =0;
77 fNLast =0;
78 fChi2Last=0;
79 fNExpected=0;
80 fNExpectedLast=0;
81 fNdedx=0;
5443e65e 82 Double_t q = TMath::Abs(c->GetQ());
a819a5f7 83 Double_t s = fX*fC - fE, t=fT;
5443e65e 84 if(s*s < 1) q *= TMath::Sqrt((1-s*s)/(1+t*t));
85
86 fdQdl[0] = q;
0d5b5c27 87
88 // initialisation [SR, GSI 18.02.2003] (i startd for 1)
7ad19338 89 for(UInt_t i=1; i<kMAX_CLUSTERS_PER_TRACK; i++) {
0d5b5c27 90 fdQdl[i] = 0;
91 fIndex[i] = 0;
46e2d86c 92 fIndexBackup[i] = 0; //bacup indexes MI
0d5b5c27 93 }
03b0452e 94 for (Int_t i=0;i<3;i++) { fBudget[i]=0;};
16d9fbba 95 fBackupTrack =0;
46d29e70 96}
97
98//_____________________________________________________________________________
5443e65e 99AliTRDtrack::AliTRDtrack(const AliTRDtrack& t) : AliKalmanTrack(t) {
46d29e70 100 //
101 // Copy constructor.
102 //
b8dc2353 103
5443e65e 104 SetLabel(t.GetLabel());
105 fSeedLab=t.GetSeedLabel();
46d29e70 106
5443e65e 107 SetChi2(t.GetChi2());
46d29e70 108 fdEdx=t.fdEdx;
03b0452e 109 fdEdxT=t.fdEdxT;
3fad3d32 110 fDE=t.fDE;
eab5961e 111 for (Int_t i=0;i<kNPlane;i++){
112 fdEdxPlane[i] = t.fdEdxPlane[i];
113 fTimBinPlane[i] = t.fTimBinPlane[i];
96c3a73c 114 fTracklets[i] = t.fTracklets[i];
eab5961e 115 }
46d29e70 116
b3a5a838 117 fLhElectron = 0.0;
9c9d2487 118 fNWrong = t.fNWrong;
119 fNRotate = t.fNRotate;
3c625a9b 120 fStopped = t.fStopped;
4f1c04d3 121 fNCross = t.fNCross;
122 fNExpected = t.fNExpected;
123 fNExpectedLast = t.fNExpectedLast;
124 fNdedx = t.fNdedx;
125 fNLast = t.fNLast;
126 fChi2Last = t.fChi2Last;
127 fBackupTrack =0;
46d29e70 128 fAlpha=t.fAlpha;
129 fX=t.fX;
130
4f1c04d3 131
b8dc2353 132 fY=t.fY; fZ=t.fZ; fE=t.fE; fT=t.fT; fC=t.fC;
46d29e70 133
134 fCyy=t.fCyy;
135 fCzy=t.fCzy; fCzz=t.fCzz;
b3a5a838 136 fCey=t.fCey; fCez=t.fCez; fCee=t.fCee;
137 fCty=t.fCty; fCtz=t.fCtz; fCte=t.fCte; fCtt=t.fCtt;
b8dc2353 138 fCcy=t.fCcy; fCcz=t.fCcz; fCce=t.fCce; fCct=t.fCct; fCcc=t.fCcc;
46d29e70 139
5443e65e 140 Int_t n=t.GetNumberOfClusters();
141 SetNumberOfClusters(n);
142 for (Int_t i=0; i<n; i++) {
a819a5f7 143 fIndex[i]=t.fIndex[i];
46e2d86c 144 fIndexBackup[i]=t.fIndex[i]; // MI - backup indexes
a819a5f7 145 fdQdl[i]=t.fdQdl[i];
146 }
b8dc2353 147
0d5b5c27 148 // initialisation (i starts from n) [SR, GSI, 18.02.2003]
7ad19338 149 for(UInt_t i=n; i<kMAX_CLUSTERS_PER_TRACK; i++) {
0d5b5c27 150 fdQdl[i] = 0;
151 fIndex[i] = 0;
46e2d86c 152 fIndexBackup[i] = 0; //MI backup indexes
0d5b5c27 153 }
03b0452e 154 for (Int_t i=0;i<6;i++){
155 fTracklets[i] = t.fTracklets[i];
156 }
157 for (Int_t i=0;i<3;i++) { fBudget[i]=t.fBudget[i];};
5443e65e 158}
159
160//_____________________________________________________________________________
b3a5a838 161AliTRDtrack::AliTRDtrack(const AliKalmanTrack& t, Double_t alpha)
162 :AliKalmanTrack(t) {
5443e65e 163 //
164 // Constructor from AliTPCtrack or AliITStrack .
165 //
166
167 SetLabel(t.GetLabel());
168 SetChi2(0.);
b8dc2353 169 SetMass(t.GetMass());
5443e65e 170 SetNumberOfClusters(0);
171
bbc6cd2c 172 fdEdx=t.GetPIDsignal();
aa504dc7 173 fDE = 0;
eab5961e 174 for (Int_t i=0;i<kNPlane;i++){
175 fdEdxPlane[i] = 0.0;
176 fTimBinPlane[i] = -1;
177 }
5443e65e 178
b3a5a838 179 fLhElectron = 0.0;
9c9d2487 180 fNWrong = 0;
181 fNRotate = 0;
3c625a9b 182 fStopped = 0;
4f1c04d3 183 fNExpected=0;
184 fNExpectedLast=0;
185 fNdedx =0;
186 fNCross =0;
187 fNLast =0;
188 fChi2Last =0;
189 fBackupTrack =0;
b3a5a838 190
5443e65e 191 fAlpha = alpha;
192 if (fAlpha < -TMath::Pi()) fAlpha += 2*TMath::Pi();
193 else if (fAlpha >= TMath::Pi()) fAlpha -= 2*TMath::Pi();
194
195 Double_t x, p[5]; t.GetExternalParameters(x,p);
196
197 fX=x;
198
b8dc2353 199 fY=p[0];
200 fZ=p[1];
c84a5e9e 201 fT=p[3]; x=GetLocalConvConst();
b3a5a838 202 fC=p[4]/x;
b8dc2353 203 fE=fC*fX - p[2];
5443e65e 204
205 //Conversion of the covariance matrix
206 Double_t c[15]; t.GetExternalCovariance(c);
79e94bf8 207
208 c[10]/=x; c[11]/=x; c[12]/=x; c[13]/=x; c[14]/=x*x;
209
210 Double_t c22=fX*fX*c[14] - 2*fX*c[12] + c[5];
211 Double_t c32=fX*c[13] - c[8];
212 Double_t c20=fX*c[10] - c[3], c21=fX*c[11] - c[4], c42=fX*c[14] - c[12];
213
214 fCyy=c[0 ];
215 fCzy=c[1 ]; fCzz=c[2 ];
216 fCey=c20; fCez=c21; fCee=c22;
217 fCty=c[6 ]; fCtz=c[7 ]; fCte=c32; fCtt=c[9 ];
218 fCcy=c[10]; fCcz=c[11]; fCce=c42; fCct=c[13]; fCcc=c[14];
219
220 // Initialization [SR, GSI, 18.02.2003]
7ad19338 221 for(UInt_t i=0; i<kMAX_CLUSTERS_PER_TRACK; i++) {
79e94bf8 222 fdQdl[i] = 0;
223 fIndex[i] = 0;
46e2d86c 224 fIndexBackup[i] = 0; // MI backup indexes
79e94bf8 225 }
4f1c04d3 226
03b0452e 227 for (Int_t i=0;i<3;i++) { fBudget[i]=0;};
79e94bf8 228}
229//_____________________________________________________________________________
230AliTRDtrack::AliTRDtrack(const AliESDtrack& t)
231 :AliKalmanTrack() {
232 //
233 // Constructor from AliESDtrack
234 //
79e94bf8 235 SetLabel(t.GetLabel());
236 SetChi2(0.);
237 SetMass(t.GetMass());
1e9bb598 238 SetNumberOfClusters(t.GetTRDclusters(fIndex));
46e2d86c 239 Int_t ncl = t.GetTRDclusters(fIndexBackup);
7ad19338 240 for (UInt_t i=ncl;i<kMAX_CLUSTERS_PER_TRACK;i++) {
46e2d86c 241 fIndexBackup[i]=0;
242 fIndex[i] = 0; //MI store indexes
243 }
aa504dc7 244 fdEdx=t.GetTRDsignal();
245 fDE =0;
eab5961e 246 for (Int_t i=0;i<kNPlane;i++){
247 fdEdxPlane[i] = t.GetTRDsignals(i);
248 fTimBinPlane[i] = t.GetTRDTimBin(i);
249 }
79e94bf8 250
251 fLhElectron = 0.0;
252 fNWrong = 0;
3c625a9b 253 fStopped = 0;
79e94bf8 254 fNRotate = 0;
4f1c04d3 255 fNExpected =0;
256 fNExpectedLast=0;
257 fNdedx = 0;
258 fNCross =0;
259 fNLast =0;
260 fChi2Last =0;
261 fBackupTrack =0;
79e94bf8 262
263 fAlpha = t.GetAlpha();
264 if (fAlpha < -TMath::Pi()) fAlpha += 2*TMath::Pi();
265 else if (fAlpha >= TMath::Pi()) fAlpha -= 2*TMath::Pi();
266
267 Double_t x, p[5]; t.GetExternalParameters(x,p);
c5a8e3df 268 //Conversion of the covariance matrix
269 Double_t c[15]; t.GetExternalCovariance(c);
25cde026 270 if (t.GetStatus()&AliESDtrack::kTRDbackup){
c0b978f0 271 t.GetOuterExternalParameters(fAlpha,x,p);
c9ec41e8 272 t.GetOuterExternalCovariance(c);
f4e9508c 273 if (fAlpha < -TMath::Pi()) fAlpha += 2*TMath::Pi();
274 else if (fAlpha >= TMath::Pi()) fAlpha -= 2*TMath::Pi();
c5a8e3df 275 }
79e94bf8 276
277 fX=x;
278
79e94bf8 279 fY=p[0];
c84a5e9e 280 fZ=p[1]; SaveLocalConvConst();
281 fT=p[3]; x=GetLocalConvConst();
79e94bf8 282 fC=p[4]/x;
283 fE=fC*fX - p[2];
284
5443e65e 285
286 c[10]/=x; c[11]/=x; c[12]/=x; c[13]/=x; c[14]/=x*x;
287
288 Double_t c22=fX*fX*c[14] - 2*fX*c[12] + c[5];
289 Double_t c32=fX*c[13] - c[8];
290 Double_t c20=fX*c[10] - c[3], c21=fX*c[11] - c[4], c42=fX*c[14] - c[12];
291
b8dc2353 292 fCyy=c[0 ];
293 fCzy=c[1 ]; fCzz=c[2 ];
294 fCey=c20; fCez=c21; fCee=c22;
295 fCty=c[6 ]; fCtz=c[7 ]; fCte=c32; fCtt=c[9 ];
296 fCcy=c[10]; fCcz=c[11]; fCce=c42; fCct=c[13]; fCcc=c[14];
5443e65e 297
0d5b5c27 298 // Initialization [SR, GSI, 18.02.2003]
7ad19338 299 for(UInt_t i=0; i<kMAX_CLUSTERS_PER_TRACK; i++) {
0d5b5c27 300 fdQdl[i] = 0;
46e2d86c 301 // fIndex[i] = 0; //MI store indexes
0d5b5c27 302 }
c630aafd 303
03b0452e 304 for (Int_t i=0;i<3;i++) { fBudget[i]=0;};
c630aafd 305 if ((t.GetStatus()&AliESDtrack::kTIME) == 0) return;
306 StartTimeIntegral();
307 Double_t times[10]; t.GetIntegratedTimes(times); SetIntegratedTimes(times);
308 SetIntegratedLength(t.GetIntegratedLength());
309
16d9fbba 310}
311
7d0f8548 312/*
3fad3d32 313AliTRDtrack * AliTRDtrack::MakeTrack(const AliTrackReference *ref, Double_t mass)
314{
315 //
316 // Make dummy track from the track reference
317 // negative mass means opposite charge
318 //
319 Double_t xx[5];
320 Double_t cc[15];
321 for (Int_t i=0;i<15;i++) cc[i]=0;
322 Double_t x = ref->X(), y = ref->Y(), z = ref->Z();
323 Double_t alpha = TMath::ATan2(y,x);
324 Double_t xr = TMath::Sqrt(x*x+y*y);
325 xx[0] = 0;
326 xx[1] = z;
327 xx[3] = ref->Pz()/ref->Pt();
328 Float_t b[3];
329 Float_t xyz[3]={x,y,z};
330 Float_t convConst = 0;
331 (AliKalmanTrack::GetFieldMap())->Field(xyz,b);
332 convConst=1000/0.299792458/(1e-13 - b[2]);
333 xx[4] = 1./(convConst*ref->Pt());
334 if (mass<0) xx[4]*=-1.; // negative mass - negative direction
335 Double_t lcos = (x*ref->Px()+y*ref->Py())/(xr*ref->Pt());
336 Double_t lsin = TMath::Sin(TMath::ACos(lcos));
337 if (mass<0) lsin*=-1.;
338 xx[2] = xr*xx[4]-lsin;
339 AliTRDcluster cl;
340 AliTRDtrack * track = new AliTRDtrack(&cl,100,xx,cc,xr,alpha);
341 track->SetMass(TMath::Abs(mass));
342 track->StartTimeIntegral();
343 return track;
344}
7d0f8548 345*/
3fad3d32 346
347
16d9fbba 348AliTRDtrack::~AliTRDtrack()
349{
350 //
351 //
eab5961e 352
16d9fbba 353 if (fBackupTrack) delete fBackupTrack;
354 fBackupTrack=0;
eab5961e 355
16d9fbba 356}
9c9d2487 357
8206377c 358
7ad19338 359Float_t AliTRDtrack::StatusForTOF()
360{
03b0452e 361
362 Float_t res = (0.2 + 0.8*(fN/(fNExpected+5.)))*(0.4+0.6*fTracklets[5].GetN()/20.);
363 res *= (0.25+0.8*40./(40.+fBudget[2]));
364 return res;
365
4f1c04d3 366 Int_t status=0;
367 if (GetNumberOfClusters()<20) return 0; //
c84a5e9e 368 if (fN>110&&fChi2/(Float_t(fN))<3) return 3; //gold
369 if (fNLast>30&&fChi2Last/(Float_t(fNLast))<3) return 3; //gold
370 if (fNLast>20&&fChi2Last/(Float_t(fNLast))<2) return 3; //gold
371 if (fNLast/(fNExpectedLast+3.)>0.8 && fChi2Last/Float_t(fNLast)<5&&fNLast>20) return 2; //silber
372 if (fNLast>5 &&((fNLast+1.)/(fNExpectedLast+1.))>0.8&&fChi2Last/(fNLast-5.)<6) return 1;
373 //
4f1c04d3 374
375 return status;
376}
377
7ad19338 378
5443e65e 379//____________________________________________________________________________
380void AliTRDtrack::GetExternalParameters(Double_t& xr, Double_t x[5]) const {
381 //
382 // This function returns external TRD track representation
383 //
384 xr=fX;
385 x[0]=GetY();
386 x[1]=GetZ();
387 x[2]=GetSnp();
388 x[3]=GetTgl();
b8dc2353 389 x[4]=Get1Pt();
5443e65e 390}
391
392//_____________________________________________________________________________
393void AliTRDtrack::GetExternalCovariance(Double_t cc[15]) const {
394 //
395 // This function returns external representation of the covriance matrix.
396 //
c84a5e9e 397 Double_t a=GetLocalConvConst();
5443e65e 398
b3a5a838 399 Double_t c22=fX*fX*fCcc-2*fX*fCce+fCee;
400 Double_t c32=fX*fCct-fCte;
401 Double_t c20=fX*fCcy-fCey, c21=fX*fCcz-fCez, c42=fX*fCcc-fCce;
5443e65e 402
403 cc[0 ]=fCyy;
404 cc[1 ]=fCzy; cc[2 ]=fCzz;
405 cc[3 ]=c20; cc[4 ]=c21; cc[5 ]=c22;
406 cc[6 ]=fCty; cc[7 ]=fCtz; cc[8 ]=c32; cc[9 ]=fCtt;
b8dc2353 407 cc[10]=fCcy*a; cc[11]=fCcz*a; cc[12]=c42*a; cc[13]=fCct*a; cc[14]=fCcc*a*a;
408
5443e65e 409}
410
7ad19338 411
46d29e70 412//_____________________________________________________________________________
7ad19338 413void AliTRDtrack::GetCovariance(Double_t cc[15]) const {
b8dc2353 414
46d29e70 415 cc[0]=fCyy;
416 cc[1]=fCzy; cc[2]=fCzz;
b3a5a838 417 cc[3]=fCey; cc[4]=fCez; cc[5]=fCee;
418 cc[6]=fCcy; cc[7]=fCcz; cc[8]=fCce; cc[9]=fCcc;
419 cc[10]=fCty; cc[11]=fCtz; cc[12]=fCte; cc[13]=fCct; cc[14]=fCtt;
b8dc2353 420
46d29e70 421}
422
423//_____________________________________________________________________________
2a941f4e 424Int_t AliTRDtrack::Compare(const TObject *o) const {
46d29e70 425
5443e65e 426// Compares tracks according to their Y2 or curvature
46d29e70 427
428 AliTRDtrack *t=(AliTRDtrack*)o;
429 // Double_t co=t->GetSigmaY2();
430 // Double_t c =GetSigmaY2();
431
432 Double_t co=TMath::Abs(t->GetC());
433 Double_t c =TMath::Abs(GetC());
434
435 if (c>co) return 1;
436 else if (c<co) return -1;
437 return 0;
438}
439
a819a5f7 440//_____________________________________________________________________________
441void AliTRDtrack::CookdEdx(Double_t low, Double_t up) {
442 //-----------------------------------------------------------------
443 // Calculates dE/dX within the "low" and "up" cuts.
444 //-----------------------------------------------------------------
5443e65e 445
a819a5f7 446 Int_t i;
4f1c04d3 447 //Int_t nc=GetNumberOfClusters();
448 Int_t nc=fNdedx;
449 if (nc<10) {
450 SetdEdx(0);
451 return;
452 }
a819a5f7 453
7ad19338 454 Float_t sorted[kMAX_CLUSTERS_PER_TRACK];
5443e65e 455 for (i=0; i < nc; i++) {
c84a5e9e 456 sorted[i]=fdQdl[i];
5443e65e 457 }
a819a5f7 458 Int_t nl=Int_t(low*nc), nu=Int_t(up*nc);
459 Float_t dedx=0;
c84a5e9e 460 //for (i=nl; i<=nu; i++) dedx += sorted[i];
461 //dedx /= (nu-nl+1);
462 for (i=0; i<nc; i++) dedx += sorted[i]; // ADDED by PS
463 if((nu-nl)) dedx /= (nu-nl); // ADDED by PS
5443e65e 464
3551db50 465 //SetdEdx(dedx);
03b0452e 466 //
467 // now real truncated mean
468 for (i=0; i < nc; i++) {
469 sorted[i]=TMath::Abs(fdQdl[i]);
470 }
471 Int_t * index = new Int_t[nc];
472 TMath::Sort(nc, sorted, index,kFALSE);
473 dedx=0;
474 for (i=nl; i<=nu; i++) dedx += sorted[index[i]];
475 dedx /= (nu-nl+1);
476 fdEdxT = dedx;
477 delete [] index;
3551db50 478 SetdEdx(dedx);
479
a819a5f7 480}
481
7ad19338 482
46d29e70 483//_____________________________________________________________________________
b3a5a838 484Int_t AliTRDtrack::PropagateTo(Double_t xk,Double_t x0,Double_t rho)
46d29e70 485{
486 // Propagates a track of particle with mass=pm to a reference plane
487 // defined by x=xk through media of density=rho and radiationLength=x0
488
9c9d2487 489 if (xk == fX) return 1;
490
3c625a9b 491 if (TMath::Abs(fC*xk - fE) >= 0.90000) {
492 // Int_t n=GetNumberOfClusters();
493 //if (n>4) cerr << n << " AliTRDtrack: Propagation failed, \tPt = "
494 // << GetPt() << "\t" << GetLabel() << "\t" << GetMass() << endl;
46d29e70 495 return 0;
496 }
c84a5e9e 497 Double_t lcc=GetLocalConvConst();
46d29e70 498
0d5b5c27 499 // track Length measurement [SR, GSI, 17.02.2003]
500 Double_t oldX = fX, oldY = fY, oldZ = fZ;
501
46d29e70 502 Double_t x1=fX, x2=x1+(xk-x1), dx=x2-x1, y1=fY, z1=fZ;
5443e65e 503 Double_t c1=fC*x1 - fE;
504 if((c1*c1) > 1) return 0;
505 Double_t r1=sqrt(1.- c1*c1);
b8dc2353 506 Double_t c2=fC*x2 - fE;
5443e65e 507 if((c2*c2) > 1) return 0;
508 Double_t r2=sqrt(1.- c2*c2);
46d29e70 509
510 fY += dx*(c1+c2)/(r1+r2);
511 fZ += dx*(c1+c2)/(c1*r2 + c2*r1)*fT;
512
513 //f = F - 1
514 Double_t rr=r1+r2, cc=c1+c2, xx=x1+x2;
b3a5a838 515 Double_t f02=-dx*(2*rr + cc*(c1/r1 + c2/r2))/(rr*rr);
516 Double_t f04= dx*(rr*xx + cc*(c1*x1/r1+c2*x2/r2))/(rr*rr);
46d29e70 517 Double_t cr=c1*r2+c2*r1;
b3a5a838 518 Double_t f12=-dx*fT*(2*cr + cc*(c2*c1/r1-r1 + c1*c2/r2-r2))/(cr*cr);
519 Double_t f13= dx*cc/cr;
b8dc2353 520 Double_t f14=dx*fT*(cr*xx-cc*(r1*x2-c2*c1*x1/r1+r2*x1-c1*c2*x2/r2))/(cr*cr);
46d29e70 521
522 //b = C*ft
b3a5a838 523 Double_t b00=f02*fCey + f04*fCcy, b01=f12*fCey + f14*fCcy + f13*fCty;
524 Double_t b10=f02*fCez + f04*fCcz, b11=f12*fCez + f14*fCcz + f13*fCtz;
525 Double_t b20=f02*fCee + f04*fCce, b21=f12*fCee + f14*fCce + f13*fCte;
526 Double_t b30=f02*fCte + f04*fCct, b31=f12*fCte + f14*fCct + f13*fCtt;
527 Double_t b40=f02*fCce + f04*fCcc, b41=f12*fCce + f14*fCcc + f13*fCct;
46d29e70 528
529 //a = f*b = f*C*ft
b3a5a838 530 Double_t a00=f02*b20+f04*b40,a01=f02*b21+f04*b41,a11=f12*b21+f14*b41+f13*b31;
46d29e70 531
532 //F*C*Ft = C + (a + b + bt)
533 fCyy += a00 + 2*b00;
534 fCzy += a01 + b01 + b10;
b3a5a838 535 fCey += b20;
536 fCty += b30;
537 fCcy += b40;
46d29e70 538 fCzz += a11 + 2*b11;
b3a5a838 539 fCez += b21;
540 fCtz += b31;
b8dc2353 541 fCcz += b41;
46d29e70 542
b8dc2353 543 fX=x2;
46d29e70 544
c84a5e9e 545 //Change of the magnetic field *************
546 SaveLocalConvConst();
547 cc=fC;
548 fC*=lcc/GetLocalConvConst();
549 fE+=fX*(fC-cc);
550
46d29e70 551 //Multiple scattering ******************
46d29e70 552 Double_t d=sqrt((x1-fX)*(x1-fX)+(y1-fY)*(y1-fY)+(z1-fZ)*(z1-fZ));
b8dc2353 553 Double_t p2=(1.+ GetTgl()*GetTgl())/(Get1Pt()*Get1Pt());
b3a5a838 554 Double_t beta2=p2/(p2 + GetMass()*GetMass());
b8dc2353 555 Double_t theta2=14.1*14.1/(beta2*p2*1e6)*d/x0*rho;
c84a5e9e 556
46d29e70 557 Double_t ey=fC*fX - fE, ez=fT;
558 Double_t xz=fC*ez, zz1=ez*ez+1, xy=fE+ey;
3c625a9b 559
46d29e70 560 fCee += (2*ey*ez*ez*fE+1-ey*ey+ez*ez+fE*fE*ez*ez)*theta2;
561 fCte += ez*zz1*xy*theta2;
562 fCtt += zz1*zz1*theta2;
b3a5a838 563 fCce += xz*ez*xy*theta2;
564 fCct += xz*zz1*theta2;
565 fCcc += xz*xz*theta2;
3c625a9b 566 /*
567 Double_t dc22 = (1-ey*ey+xz*xz*fX*fX)*theta2;
568 Double_t dc32 = (xz*fX*zz1)*theta2;
569 Double_t dc33 = (zz1*zz1)*theta2;
570 Double_t dc42 = (xz*fX*xz)*theta2;
571 Double_t dc43 = (zz1*xz)*theta2;
572 Double_t dc44 = (xz*xz)*theta2;
573 fCee += dc22;
574 fCte += dc32;
575 fCtt += dc33;
576 fCce += dc42;
577 fCct += dc43;
578 fCcc += dc44;
579 */
46d29e70 580 //Energy losses************************
b8dc2353 581 if((5940*beta2/(1-beta2+1e-10) - beta2) < 0) return 0;
5443e65e 582
c84a5e9e 583 Double_t dE=0.153e-3/beta2*(log(5940*beta2/(1-beta2+1e-10)) - beta2)*d*rho;
2276b464 584 Float_t budget = d* rho;
585 fBudget[0] +=budget;
96c3a73c 586 //
587 // suspicious part - think about it ?
588 Double_t kinE = TMath::Sqrt(p2);
589 if (dE>0.8*kinE) dE = 0.8*kinE; //
590 if (dE<0) dE = 0.0; // not valid region for Bethe bloch
591 //
592 //
3fad3d32 593 fDE+=dE;
b8dc2353 594 if (x1 < x2) dE=-dE;
595 cc=fC;
b3a5a838 596 fC*=(1.- sqrt(p2+GetMass()*GetMass())/p2*dE);
b8dc2353 597 fE+=fX*(fC-cc);
3fad3d32 598 // Double_t sigmade = 0.1*dE*TMath::Sqrt(TMath::Sqrt(1+fT*fT)*90./(d+0.0001)); // 20 percent fluctuation - normalized to some length
03b0452e 599 Double_t sigmade = 0.07*TMath::Sqrt(TMath::Abs(dE)); // energy loss fluctuation
3fad3d32 600 Double_t sigmac2 = sigmade*sigmade*fC*fC*(p2+GetMass()*GetMass())/(p2*p2);
601 fCcc += sigmac2;
602 fCee += fX*fX*sigmac2;
c84a5e9e 603
0d5b5c27 604 // track time measurement [SR, GSI 17.02.2002]
0fa7dfa7 605 if (x1 < x2)
0d5b5c27 606 if (IsStartedTimeIntegral()) {
03b0452e 607 Double_t l2 = TMath::Sqrt((fX-oldX)*(fX-oldX) + (fY-oldY)*(fY-oldY) + (fZ-oldZ)*(fZ-oldZ));
608 if (TMath::Abs(l2*fC)>0.0001){
609 // make correction for curvature if neccesary
610 l2 = 0.5*TMath::Sqrt((fX-oldX)*(fX-oldX) + (fY-oldY)*(fY-oldY));
611 l2 = 2*TMath::ASin(l2*fC)/fC;
612 l2 = TMath::Sqrt(l2*l2+(fZ-oldZ)*(fZ-oldZ));
613 }
614 AddTimeStep(l2);
0d5b5c27 615 }
616
b8dc2353 617 return 1;
46d29e70 618}
619
7ad19338 620
46d29e70 621//_____________________________________________________________________________
fd621f36 622Int_t AliTRDtrack::Update(const AliTRDcluster *c, Double_t chisq, UInt_t index, Double_t h01)
46d29e70 623{
624 // Assignes found cluster to the track and updates track information
625
b8dc2353 626 Bool_t fNoTilt = kTRUE;
627 if(TMath::Abs(h01) > 0.003) fNoTilt = kFALSE;
46e2d86c 628 // add angular effect to the error contribution - MI
3c625a9b 629 Float_t tangent2 = (fC*fX-fE)*(fC*fX-fE);
630 if (tangent2 < 0.90000){
46e2d86c 631 tangent2 = tangent2/(1.-tangent2);
632 }
633 Float_t errang = tangent2*0.04; //
634 Float_t padlength = TMath::Sqrt(c->GetSigmaZ2()*12.);
fd621f36 635
46e2d86c 636 Double_t r00=c->GetSigmaY2() +errang, r01=0., r11=c->GetSigmaZ2()*100.;
b8dc2353 637 r00+=fCyy; r01+=fCzy; r11+=fCzz;
46d29e70 638 Double_t det=r00*r11 - r01*r01;
639 Double_t tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det;
640
b8dc2353 641 Double_t k00=fCyy*r00+fCzy*r01, k01=fCyy*r01+fCzy*r11;
642 Double_t k10=fCzy*r00+fCzz*r01, k11=fCzy*r01+fCzz*r11;
643 Double_t k20=fCey*r00+fCez*r01, k21=fCey*r01+fCez*r11;
644 Double_t k30=fCty*r00+fCtz*r01, k31=fCty*r01+fCtz*r11;
645 Double_t k40=fCcy*r00+fCcz*r01, k41=fCcy*r01+fCcz*r11;
46d29e70 646
647 Double_t dy=c->GetY() - fY, dz=c->GetZ() - fZ;
b3a5a838 648 Double_t cur=fC + k40*dy + k41*dz, eta=fE + k20*dy + k21*dz;
fd621f36 649
46d29e70 650
b8dc2353 651 if(fNoTilt) {
3c625a9b 652 if (TMath::Abs(cur*fX-eta) >= 0.90000) {
653 // Int_t n=GetNumberOfClusters();
654 //if (n>4) cerr<<n<<" AliTRDtrack warning: Filtering failed !\n";
b8dc2353 655 return 0;
656 }
657 fY += k00*dy + k01*dz;
658 fZ += k10*dy + k11*dz;
659 fE = eta;
9c9d2487 660 //fT += k30*dy + k31*dz;
b8dc2353 661 fC = cur;
662 }
663 else {
7ad19338 664 Double_t xu_factor = 100.; // empirical factor set by C.Xu
b8dc2353 665 // in the first tilt version
46e2d86c 666 dy=c->GetY() - fY; dz=c->GetZ() - fZ;
667 dy=dy+h01*dz;
668 Float_t add=0;
669 if (TMath::Abs(dz)>padlength/2.){
3c625a9b 670 Float_t dy2 = c->GetY() - fY;
671 Float_t sign = (dz>0) ? -1.: 1.;
672 dy2+=h01*sign*padlength/2.;
673 dy = dy2;
674 add = 0;
46e2d86c 675 }
676
677
678
7ad19338 679 r00=c->GetSigmaY2()+errang+add, r01=0., r11=c->GetSigmaZ2()*xu_factor;
b8dc2353 680 r00+=(fCyy+2.0*h01*fCzy+h01*h01*fCzz);
1299b231 681 r01+=(fCzy+h01*fCzz);
682 r11+=fCzz;
46e2d86c 683
b8dc2353 684 det=r00*r11 - r01*r01;
685 tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det;
686
687 k00=fCyy*r00+fCzy*(r01+h01*r00),k01=fCyy*r01+fCzy*(r11+h01*r01);
688 k10=fCzy*r00+fCzz*(r01+h01*r00),k11=fCzy*r01+fCzz*(r11+h01*r01);
689 k20=fCey*r00+fCez*(r01+h01*r00),k21=fCey*r01+fCez*(r11+h01*r01);
690 k30=fCty*r00+fCtz*(r01+h01*r00),k31=fCty*r01+fCtz*(r11+h01*r01);
691 k40=fCcy*r00+fCcz*(r01+h01*r00),k41=fCcy*r01+fCcz*(r11+h01*r01);
692
b8dc2353 693
694 cur=fC + k40*dy + k41*dz; eta=fE + k20*dy + k21*dz;
3c625a9b 695 if (TMath::Abs(cur*fX-eta) >= 0.90000) {
696 // Int_t n=GetNumberOfClusters();
697 //if (n>4) cerr<<n<<" AliTRDtrack warning: Filtering failed !\n";
b8dc2353 698 return 0;
699 }
700 fY += k00*dy + k01*dz;
701 fZ += k10*dy + k11*dz;
702 fE = eta;
46e2d86c 703 fT += k30*dy + k31*dz;
b8dc2353 704 fC = cur;
705
706 k01+=h01*k00;
707 k11+=h01*k10;
708 k21+=h01*k20;
709 k31+=h01*k30;
710 k41+=h01*k40;
46e2d86c 711
b8dc2353 712 }
46e2d86c 713 Double_t c01=fCzy, c02=fCey, c03=fCty, c04=fCcy;
714 Double_t c12=fCez, c13=fCtz, c14=fCcz;
715
b8dc2353 716
46d29e70 717 fCyy-=k00*fCyy+k01*fCzy; fCzy-=k00*c01+k01*fCzz;
b3a5a838 718 fCey-=k00*c02+k01*c12; fCty-=k00*c03+k01*c13;
719 fCcy-=k00*c04+k01*c14;
b8dc2353 720
46d29e70 721 fCzz-=k10*c01+k11*fCzz;
b3a5a838 722 fCez-=k10*c02+k11*c12; fCtz-=k10*c03+k11*c13;
723 fCcz-=k10*c04+k11*c14;
b8dc2353 724
b3a5a838 725 fCee-=k20*c02+k21*c12; fCte-=k20*c03+k21*c13;
726 fCce-=k20*c04+k21*c14;
b8dc2353 727
b3a5a838 728 fCtt-=k30*c03+k31*c13;
46e2d86c 729 fCct-=k40*c03+k41*c13;
730 //fCct-=k30*c04+k31*c14; // symmetric formula MI
b8dc2353 731
732 fCcc-=k40*c04+k41*c14;
46d29e70 733
b8dc2353 734 Int_t n=GetNumberOfClusters();
5443e65e 735 fIndex[n]=index;
b8dc2353 736 SetNumberOfClusters(n+1);
fd621f36 737
b8dc2353 738 SetChi2(GetChi2()+chisq);
46d29e70 739 // cerr<<"in update: fIndex["<<fN<<"] = "<<index<<endl;
5443e65e 740
b8dc2353 741 return 1;
46d29e70 742}
46e2d86c 743//_____________________________________________________________________________
3c625a9b 744Int_t AliTRDtrack::UpdateMI(const AliTRDcluster *c, Double_t chisq, UInt_t index, Double_t h01,
4f1c04d3 745 Int_t /*plane*/)
46e2d86c 746{
747 // Assignes found cluster to the track and updates track information
748
749 Bool_t fNoTilt = kTRUE;
750 if(TMath::Abs(h01) > 0.003) fNoTilt = kFALSE;
3c625a9b 751 // add angular effect to the error contribution and make correction - MI
c5a8e3df 752 //AliTRDclusterCorrection *corrector = AliTRDclusterCorrection::GetCorrection();
3c625a9b 753 //
754 Double_t tangent2 = (fC*fX-fE)*(fC*fX-fE);
755 if (tangent2 < 0.90000){
46e2d86c 756 tangent2 = tangent2/(1.-tangent2);
757 }
3c625a9b 758 Double_t tangent = TMath::Sqrt(tangent2);
759 if ((fC*fX-fE)<0) tangent*=-1;
c84a5e9e 760 // Double_t correction = 0*plane;
761 Double_t errang = tangent2*0.04; //
762 Double_t errsys =0.025*0.025*20; //systematic error part
763 Float_t extend =1;
764 if (c->GetNPads()==4) extend=2;
765 //if (c->GetNPads()==5) extend=3;
766 //if (c->GetNPads()==6) extend=3;
767 //if (c->GetQ()<15) return 1;
4f1c04d3 768
c5a8e3df 769 /*
3c625a9b 770 if (corrector!=0){
771 //if (0){
772 correction = corrector->GetCorrection(plane,c->GetLocalTimeBin(),tangent);
773 if (TMath::Abs(correction)>0){
774 //if we have info
775 errang = corrector->GetSigma(plane,c->GetLocalTimeBin(),tangent);
776 errang *= errang;
777 errang += tangent2*0.04;
778 }
779 }
c5a8e3df 780 */
3c625a9b 781 //
c84a5e9e 782 // Double_t padlength = TMath::Sqrt(c->GetSigmaZ2()*12.);
783
784 Double_t r00=(c->GetSigmaY2() +errang+errsys)*extend, r01=0., r11=c->GetSigmaZ2()*10000.;
46e2d86c 785 r00+=fCyy; r01+=fCzy; r11+=fCzz;
786 Double_t det=r00*r11 - r01*r01;
787 Double_t tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det;
788
789 Double_t k00=fCyy*r00+fCzy*r01, k01=fCyy*r01+fCzy*r11;
790 Double_t k10=fCzy*r00+fCzz*r01, k11=fCzy*r01+fCzz*r11;
791 Double_t k20=fCey*r00+fCez*r01, k21=fCey*r01+fCez*r11;
792 Double_t k30=fCty*r00+fCtz*r01, k31=fCty*r01+fCtz*r11;
793 Double_t k40=fCcy*r00+fCcz*r01, k41=fCcy*r01+fCcz*r11;
794
795 Double_t dy=c->GetY() - fY, dz=c->GetZ() - fZ;
796 Double_t cur=fC + k40*dy + k41*dz, eta=fE + k20*dy + k21*dz;
797
798
799 if(fNoTilt) {
3c625a9b 800 if (TMath::Abs(cur*fX-eta) >= 0.90000) {
801 // Int_t n=GetNumberOfClusters();
802 //if (n>4) cerr<<n<<" AliTRDtrack warning: Filtering failed !\n";
46e2d86c 803 return 0;
804 }
805 fY += k00*dy + k01*dz;
806 fZ += k10*dy + k11*dz;
807 fE = eta;
808 //fT += k30*dy + k31*dz;
809 fC = cur;
810 }
811 else {
c84a5e9e 812 Double_t padlength = TMath::Sqrt(c->GetSigmaZ2()*12);
4f1c04d3 813
7ad19338 814 Double_t xu_factor = 1000.; // empirical factor set by C.Xu
46e2d86c 815 // in the first tilt version
816 dy=c->GetY() - fY; dz=c->GetZ() - fZ;
c84a5e9e 817 //dy=dy+h01*dz+correction;
4f1c04d3 818
819 Double_t tiltdz = dz;
c84a5e9e 820 if (TMath::Abs(tiltdz)>padlength/2.) {
821 tiltdz = TMath::Sign(padlength/2,dz);
822 }
823 // dy=dy+h01*dz;
4f1c04d3 824 dy=dy+h01*tiltdz;
825
c84a5e9e 826 Double_t add=0;
827 if (TMath::Abs(dz)>padlength/2.){
828 //Double_t dy2 = c->GetY() - fY;
829 //Double_t sign = (dz>0) ? -1.: 1.;
830 //dy2-=h01*sign*padlength/2.;
831 //dy = dy2;
832 add =1;
833 }
834 Double_t s00 = (c->GetSigmaY2()+errang)*extend+errsys+add; // error pad
7ad19338 835 Double_t s11 = c->GetSigmaZ2()*xu_factor; // error pad-row
46e2d86c 836 //
837 r00 = fCyy + 2*fCzy*h01 + fCzz*h01*h01+s00;
838 r01 = fCzy + fCzz*h01;
839 r11 = fCzz + s11;
840 det = r00*r11 - r01*r01;
841 // inverse matrix
842 tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det;
843
844 // K matrix
845 k00=fCyy*r00+fCzy*(r01+h01*r00),k01=fCyy*r01+fCzy*(r11+h01*r01);
846 k10=fCzy*r00+fCzz*(r01+h01*r00),k11=fCzy*r01+fCzz*(r11+h01*r01);
847 k20=fCey*r00+fCez*(r01+h01*r00),k21=fCey*r01+fCez*(r11+h01*r01);
848 k30=fCty*r00+fCtz*(r01+h01*r00),k31=fCty*r01+fCtz*(r11+h01*r01);
849 k40=fCcy*r00+fCcz*(r01+h01*r00),k41=fCcy*r01+fCcz*(r11+h01*r01);
850 //
851 //Update measurement
852 cur=fC + k40*dy + k41*dz; eta=fE + k20*dy + k21*dz;
3c625a9b 853 if (TMath::Abs(cur*fX-eta) >= 0.90000) {
854 //Int_t n=GetNumberOfClusters();
855 // if (n>4) cerr<<n<<" AliTRDtrack warning: Filtering failed !\n";
46e2d86c 856 return 0;
857 }
858 fY += k00*dy + k01*dz;
859 fZ += k10*dy + k11*dz;
860 fE = eta;
861 fT += k30*dy + k31*dz;
862 fC = cur;
863
864 k01+=h01*k00;
865 k11+=h01*k10;
866 k21+=h01*k20;
867 k31+=h01*k30;
868 k41+=h01*k40;
869
870 }
871 //Update covariance
872 //
873 //
874 Double_t oldyy = fCyy, oldzz = fCzz; //, oldee=fCee, oldcc =fCcc;
875 Double_t oldzy = fCzy, oldey = fCey, oldty=fCty, oldcy =fCcy;
876 Double_t oldez = fCez, oldtz = fCtz, oldcz=fCcz;
877 //Double_t oldte = fCte, oldce = fCce;
878 //Double_t oldct = fCct;
879
880 fCyy-=k00*oldyy+k01*oldzy;
881 fCzy-=k10*oldyy+k11*oldzy;
882 fCey-=k20*oldyy+k21*oldzy;
883 fCty-=k30*oldyy+k31*oldzy;
884 fCcy-=k40*oldyy+k41*oldzy;
885 //
886 fCzz-=k10*oldzy+k11*oldzz;
887 fCez-=k20*oldzy+k21*oldzz;
888 fCtz-=k30*oldzy+k31*oldzz;
889 fCcz-=k40*oldzy+k41*oldzz;
890 //
891 fCee-=k20*oldey+k21*oldez;
892 fCte-=k30*oldey+k31*oldez;
893 fCce-=k40*oldey+k41*oldez;
894 //
895 fCtt-=k30*oldty+k31*oldtz;
896 fCct-=k40*oldty+k41*oldtz;
897 //
898 fCcc-=k40*oldcy+k41*oldcz;
899 //
900
901 Int_t n=GetNumberOfClusters();
902 fIndex[n]=index;
903 SetNumberOfClusters(n+1);
904
905 SetChi2(GetChi2()+chisq);
906 // cerr<<"in update: fIndex["<<fN<<"] = "<<index<<endl;
907
908 return 1;
909}
46d29e70 910
7ad19338 911
912
7ad19338 913//_____________________________________________________________________________
914Int_t AliTRDtrack::UpdateMI(const AliTRDtracklet &tracklet)
915{
916 //
917 // Assignes found tracklet to the track and updates track information
918 //
919 //
920 Double_t r00=(tracklet.GetTrackletSigma2()), r01=0., r11= 10000.;
921 r00+=fCyy; r01+=fCzy; r11+=fCzz;
922 //
923 Double_t det=r00*r11 - r01*r01;
924 Double_t tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det;
925 //
926
927 Double_t dy=tracklet.GetY() - fY, dz=tracklet.GetZ() - fZ;
928
929
930 Double_t s00 = tracklet.GetTrackletSigma2(); // error pad
931 Double_t s11 = 100000; // error pad-row
932 Float_t h01 = tracklet.GetTilt();
933 //
934 // r00 = fCyy + 2*fCzy*h01 + fCzz*h01*h01+s00;
935 r00 = fCyy + fCzz*h01*h01+s00;
936 // r01 = fCzy + fCzz*h01;
937 r01 = fCzy ;
938 r11 = fCzz + s11;
939 det = r00*r11 - r01*r01;
940 // inverse matrix
941 tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det;
942
943 Double_t k00=fCyy*r00+fCzy*r01, k01=fCyy*r01+fCzy*r11;
944 Double_t k10=fCzy*r00+fCzz*r01, k11=fCzy*r01+fCzz*r11;
945 Double_t k20=fCey*r00+fCez*r01, k21=fCey*r01+fCez*r11;
946 Double_t k30=fCty*r00+fCtz*r01, k31=fCty*r01+fCtz*r11;
947 Double_t k40=fCcy*r00+fCcz*r01, k41=fCcy*r01+fCcz*r11;
948
949 // K matrix
950// k00=fCyy*r00+fCzy*(r01+h01*r00),k01=fCyy*r01+fCzy*(r11+h01*r01);
951// k10=fCzy*r00+fCzz*(r01+h01*r00),k11=fCzy*r01+fCzz*(r11+h01*r01);
952// k20=fCey*r00+fCez*(r01+h01*r00),k21=fCey*r01+fCez*(r11+h01*r01);
953// k30=fCty*r00+fCtz*(r01+h01*r00),k31=fCty*r01+fCtz*(r11+h01*r01);
954// k40=fCcy*r00+fCcz*(r01+h01*r00),k41=fCcy*r01+fCcz*(r11+h01*r01);
955 //
956 //Update measurement
957 Double_t cur=fC + k40*dy + k41*dz, eta=fE + k20*dy + k21*dz;
958 // cur=fC + k40*dy + k41*dz; eta=fE + k20*dy + k21*dz;
959 if (TMath::Abs(cur*fX-eta) >= 0.90000) {
960 //Int_t n=GetNumberOfClusters();
961 // if (n>4) cerr<<n<<" AliTRDtrack warning: Filtering failed !\n";
962 return 0;
963 }
964// k01+=h01*k00;
965// k11+=h01*k10;
966// k21+=h01*k20;
967// k31+=h01*k30;
968// k41+=h01*k40;
969
970
971 fY += k00*dy + k01*dz;
972 fZ += k10*dy + k11*dz;
973 fE = eta;
974 fT += k30*dy + k31*dz;
975 fC = cur;
976
977
978 //Update covariance
979 //
980 //
981 Double_t oldyy = fCyy, oldzz = fCzz; //, oldee=fCee, oldcc =fCcc;
982 Double_t oldzy = fCzy, oldey = fCey, oldty=fCty, oldcy =fCcy;
983 Double_t oldez = fCez, oldtz = fCtz, oldcz=fCcz;
984 //Double_t oldte = fCte, oldce = fCce;
985 //Double_t oldct = fCct;
986
987 fCyy-=k00*oldyy+k01*oldzy;
988 fCzy-=k10*oldyy+k11*oldzy;
989 fCey-=k20*oldyy+k21*oldzy;
990 fCty-=k30*oldyy+k31*oldzy;
991 fCcy-=k40*oldyy+k41*oldzy;
992 //
993 fCzz-=k10*oldzy+k11*oldzz;
994 fCez-=k20*oldzy+k21*oldzz;
995 fCtz-=k30*oldzy+k31*oldzz;
996 fCcz-=k40*oldzy+k41*oldzz;
997 //
998 fCee-=k20*oldey+k21*oldez;
999 fCte-=k30*oldey+k31*oldez;
1000 fCce-=k40*oldey+k41*oldez;
1001 //
1002 fCtt-=k30*oldty+k31*oldtz;
1003 fCct-=k40*oldty+k41*oldtz;
1004 //
1005 fCcc-=k40*oldcy+k41*oldcz;
1006 //
1007 /*
1008 Int_t n=GetNumberOfClusters();
1009 fIndex[n]=index;
1010 SetNumberOfClusters(n+1);
1011
1012 SetChi2(GetChi2()+chisq);
1013 // cerr<<"in update: fIndex["<<fN<<"] = "<<index<<endl;
1014 */
1015 return 1;
1016}
1017
1018
c84a5e9e 1019
46d29e70 1020//_____________________________________________________________________________
3fad3d32 1021Int_t AliTRDtrack::Rotate(Double_t alpha, Bool_t absolute)
46d29e70 1022{
1023 // Rotates track parameters in R*phi plane
3fad3d32 1024 // if absolute rotation alpha is in global system
1025 // otherwise alpha rotation is relative to the current rotation angle
9c9d2487 1026
3fad3d32 1027 if (absolute) {
1028 alpha -= fAlpha;
1029 }
1030 else{
1031 fNRotate++;
1032 }
46d29e70 1033
1034 fAlpha += alpha;
b3a5a838 1035 if (fAlpha<-TMath::Pi()) fAlpha += 2*TMath::Pi();
b8dc2353 1036 if (fAlpha>=TMath::Pi()) fAlpha -= 2*TMath::Pi();
46d29e70 1037
1038 Double_t x1=fX, y1=fY;
1039 Double_t ca=cos(alpha), sa=sin(alpha);
1040 Double_t r1=fC*fX - fE;
1041
1042 fX = x1*ca + y1*sa;
b8dc2353 1043 fY =-x1*sa + y1*ca;
1044 if((r1*r1) > 1) return 0;
46d29e70 1045 fE=fE*ca + (fC*y1 + sqrt(1.- r1*r1))*sa;
1046
1047 Double_t r2=fC*fX - fE;
3c625a9b 1048 if (TMath::Abs(r2) >= 0.90000) {
b8dc2353 1049 Int_t n=GetNumberOfClusters();
5443e65e 1050 if (n>4) cerr<<n<<" AliTRDtrack warning: Rotation failed !\n";
46d29e70 1051 return 0;
1052 }
1053
b8dc2353 1054 if((r2*r2) > 1) return 0;
46d29e70 1055 Double_t y0=fY + sqrt(1.- r2*r2)/fC;
1056 if ((fY-y0)*fC >= 0.) {
b8dc2353 1057 Int_t n=GetNumberOfClusters();
5443e65e 1058 if (n>4) cerr<<n<<" AliTRDtrack warning: Rotation failed !!!\n";
46d29e70 1059 return 0;
1060 }
1061
1062 //f = F - 1
b3a5a838 1063 Double_t f00=ca-1, f24=(y1 - r1*x1/sqrt(1.- r1*r1))*sa,
b8dc2353 1064 f20=fC*sa, f22=(ca + sa*r1/sqrt(1.- r1*r1))-1;
46d29e70 1065
1066 //b = C*ft
b3a5a838 1067 Double_t b00=fCyy*f00, b02=fCyy*f20+fCcy*f24+fCey*f22;
1068 Double_t b10=fCzy*f00, b12=fCzy*f20+fCcz*f24+fCez*f22;
1069 Double_t b20=fCey*f00, b22=fCey*f20+fCce*f24+fCee*f22;
1070 Double_t b30=fCty*f00, b32=fCty*f20+fCct*f24+fCte*f22;
1071 Double_t b40=fCcy*f00, b42=fCcy*f20+fCcc*f24+fCce*f22;
46d29e70 1072
1073 //a = f*b = f*C*ft
b3a5a838 1074 Double_t a00=f00*b00, a02=f00*b02, a22=f20*b02+f24*b42+f22*b22;
46d29e70 1075
46d29e70 1076 //F*C*Ft = C + (a + b + bt)
1077 fCyy += a00 + 2*b00;
1078 fCzy += b10;
b3a5a838 1079 fCey += a02+b20+b02;
1080 fCty += b30;
1081 fCcy += b40;
1082 fCez += b12;
1083 fCte += b32;
1084 fCee += a22 + 2*b22;
1085 fCce += b42;
46d29e70 1086
b8dc2353 1087 return 1;
46d29e70 1088}
1089
7ad19338 1090
46d29e70 1091//_____________________________________________________________________________
fd621f36 1092Double_t AliTRDtrack::GetPredictedChi2(const AliTRDcluster *c, Double_t h01) const
46d29e70 1093{
7ad19338 1094
b8dc2353 1095 Bool_t fNoTilt = kTRUE;
1096 if(TMath::Abs(h01) > 0.003) fNoTilt = kFALSE;
1097 Double_t chi2, dy, r00, r01, r11;
1098
1099 if(fNoTilt) {
1100 dy=c->GetY() - fY;
1101 r00=c->GetSigmaY2();
1102 chi2 = (dy*dy)/r00;
46d29e70 1103 }
b8dc2353 1104 else {
4f1c04d3 1105 Double_t padlength = TMath::Sqrt(c->GetSigmaZ2()*12);
1106 //
b8dc2353 1107 r00=c->GetSigmaY2(); r01=0.; r11=c->GetSigmaZ2();
1108 r00+=fCyy; r01+=fCzy; r11+=fCzz;
1109
1110 Double_t det=r00*r11 - r01*r01;
1111 if (TMath::Abs(det) < 1.e-10) {
1112 Int_t n=GetNumberOfClusters();
1113 if (n>4) cerr<<n<<" AliTRDtrack warning: Singular matrix !\n";
1114 return 1e10;
1115 }
1116 Double_t tmp=r00; r00=r11; r11=tmp; r01=-r01;
1117 Double_t dy=c->GetY() - fY, dz=c->GetZ() - fZ;
4f1c04d3 1118 Double_t tiltdz = dz;
1119 if (TMath::Abs(tiltdz)>padlength/2.) {
1120 tiltdz = TMath::Sign(padlength/2,dz);
1121 }
1122 // dy=dy+h01*dz;
1123 dy=dy+h01*tiltdz;
a819a5f7 1124
b8dc2353 1125 chi2 = (dy*r00*dy + 2*r01*dy*dz + dz*r11*dz)/det;
1126 }
1127 return chi2;
8206377c 1128}
46d29e70 1129
7ad19338 1130
46d29e70 1131//_________________________________________________________________________
1132void AliTRDtrack::GetPxPyPz(Double_t& px, Double_t& py, Double_t& pz) const
1133{
1134 // Returns reconstructed track momentum in the global system.
1135
1136 Double_t pt=TMath::Abs(GetPt()); // GeV/c
1137 Double_t r=fC*fX-fE;
5443e65e 1138
1139 Double_t y0;
1140 if(r > 1) { py = pt; px = 0; }
1141 else if(r < -1) { py = -pt; px = 0; }
1142 else {
1143 y0=fY + sqrt(1.- r*r)/fC;
1144 px=-pt*(fY-y0)*fC; //cos(phi);
1145 py=-pt*(fE-fX*fC); //sin(phi);
1146 }
46d29e70 1147 pz=pt*fT;
1148 Double_t tmp=px*TMath::Cos(fAlpha) - py*TMath::Sin(fAlpha);
1149 py=px*TMath::Sin(fAlpha) + py*TMath::Cos(fAlpha);
1150 px=tmp;
1151
1152}
1153
5443e65e 1154//_________________________________________________________________________
1155void AliTRDtrack::GetGlobalXYZ(Double_t& x, Double_t& y, Double_t& z) const
46d29e70 1156{
5443e65e 1157 // Returns reconstructed track coordinates in the global system.
1158
1159 x = fX; y = fY; z = fZ;
1160 Double_t tmp=x*TMath::Cos(fAlpha) - y*TMath::Sin(fAlpha);
1161 y=x*TMath::Sin(fAlpha) + y*TMath::Cos(fAlpha);
1162 x=tmp;
1163
1164}
3ab6f951 1165
5443e65e 1166//_________________________________________________________________________
1167void AliTRDtrack::ResetCovariance() {
1168 //
1169 // Resets covariance matrix
1170 //
46d29e70 1171
5443e65e 1172 fCyy*=10.;
b8dc2353 1173 fCzy=0.; fCzz*=10.;
1174 fCey=0.; fCez=0.; fCee*=10.;
1175 fCty=0.; fCtz=0.; fCte=0.; fCtt*=10.;
1176 fCcy=0.; fCcz=0.; fCce=0.; fCct=0.; fCcc*=10.;
5443e65e 1177}
b8dc2353 1178
46e2d86c 1179void AliTRDtrack::ResetCovariance(Float_t mult) {
1180 //
1181 // Resets covariance matrix
1182 //
1183
1184 fCyy*=mult;
4f1c04d3 1185 fCzy*=0.; fCzz*=1.;
3c625a9b 1186 fCey*=0.; fCez*=0.; fCee*=mult;
4f1c04d3 1187 fCty*=0.; fCtz*=0.; fCte*=0.; fCtt*=1.;
3c625a9b 1188 fCcy*=0.; fCcz*=0.; fCce*=0.; fCct*=0.; fCcc*=mult;
46e2d86c 1189}
16d9fbba 1190
7ad19338 1191
1192
1193
1194
16d9fbba 1195void AliTRDtrack::MakeBackupTrack()
1196{
1197 //
1198 //
1199 if (fBackupTrack) delete fBackupTrack;
1200 fBackupTrack = new AliTRDtrack(*this);
4f1c04d3 1201
1202}
1203
7ad19338 1204Int_t AliTRDtrack::GetProlongation(Double_t xk, Double_t &y, Double_t &z){
4f1c04d3 1205 //
1206 // Find prolongation at given x
1207 // return 0 if not exist
1208
1209 Double_t c1=fC*fX - fE;
c84a5e9e 1210 if (TMath::Abs(c1)>1.) return 0;
4f1c04d3 1211 Double_t r1=TMath::Sqrt(1.- c1*c1);
1212 Double_t c2=fC*xk - fE;
c84a5e9e 1213 if (TMath::Abs(c2)>1.) return 0;
4f1c04d3 1214 Double_t r2=TMath::Sqrt(1.- c2*c2);
1215 y =fY + (xk-fX)*(c1+c2)/(r1+r2);
1216 z =fZ + (xk-fX)*(c1+c2)/(c1*r2 + c2*r1)*fT;
1217
1218 return 1;
1219
16d9fbba 1220}
3fad3d32 1221
1222
1223Int_t AliTRDtrack::PropagateToX(Double_t xr, Double_t step)
1224{
1225 //
1226 // Propagate track to given x position
1227 // works inside of the 20 degree segmentation (local cooordinate frame for TRD , TPC, TOF)
1228 //
1229 // material budget from geo manager
1230 //
1231 Double_t xyz0[3], xyz1[3],y,z;
1232 const Double_t alphac = TMath::Pi()/9.;
1233 const Double_t talphac = TMath::Tan(alphac*0.5);
1234 // critical alpha - cross sector indication
1235 //
1236 Double_t dir = (fX>xr) ? -1.:1.;
1237 // direction +-
1238 for (Double_t x=fX+dir*step;dir*x<dir*xr;x+=dir*step){
1239 //
1240 GetGlobalXYZ(xyz0[0],xyz0[1],xyz0[2]);
1241 GetProlongation(x,y,z);
1242 xyz1[0] = x*TMath::Cos(fAlpha)+y*TMath::Sin(fAlpha);
1243 xyz1[1] = x*TMath::Sin(fAlpha)-y*TMath::Cos(fAlpha);
1244 xyz1[2] = z;
1245 Double_t param[7];
1246 AliKalmanTrack::MeanMaterialBudget(xyz0,xyz1,param);
1247 //
1248 if (param[0]>0&&param[1]>0) PropagateTo(x,param[1],param[0]);
1249 if (fY>fX*talphac){
1250 Rotate(-alphac);
1251 }
1252 if (fY<-fX*talphac){
1253 Rotate(alphac);
1254 }
1255 }
1256 //
1257 PropagateTo(xr);
1258 return 0;
1259}
1260
1261
1262Int_t AliTRDtrack::PropagateToR(Double_t r,Double_t step)
1263{
1264 //
1265 // propagate track to the radial position
1266 // rotation always connected to the last track position
1267 //
1268 Double_t xyz0[3], xyz1[3],y,z;
1269 Double_t radius = TMath::Sqrt(fX*fX+fY*fY);
1270 Double_t dir = (radius>r) ? -1.:1.; // direction +-
1271 //
1272 for (Double_t x=radius+dir*step;dir*x<dir*r;x+=dir*step){
1273 GetGlobalXYZ(xyz0[0],xyz0[1],xyz0[2]);
1274 Double_t alpha = TMath::ATan2(xyz0[1],xyz0[0]);
1275 Rotate(alpha,kTRUE);
1276 GetGlobalXYZ(xyz0[0],xyz0[1],xyz0[2]);
1277 GetProlongation(x,y,z);
1278 xyz1[0] = x*TMath::Cos(alpha)+y*TMath::Sin(alpha);
1279 xyz1[1] = x*TMath::Sin(alpha)-y*TMath::Cos(alpha);
1280 xyz1[2] = z;
1281 Double_t param[7];
1282 AliKalmanTrack::MeanMaterialBudget(xyz0,xyz1,param);
1283 if (param[1]<=0) param[1] =100000000;
1284 PropagateTo(x,param[1],param[0]);
1285 }
1286 GetGlobalXYZ(xyz0[0],xyz0[1],xyz0[2]);
1287 Double_t alpha = TMath::ATan2(xyz0[1],xyz0[0]);
1288 Rotate(alpha,kTRUE);
1289 GetGlobalXYZ(xyz0[0],xyz0[1],xyz0[2]);
1290 GetProlongation(r,y,z);
1291 xyz1[0] = r*TMath::Cos(alpha)+y*TMath::Sin(alpha);
1292 xyz1[1] = r*TMath::Sin(alpha)-y*TMath::Cos(alpha);
1293 xyz1[2] = z;
1294 Double_t param[7];
1295 AliKalmanTrack::MeanMaterialBudget(xyz0,xyz1,param);
1296 //
1297 if (param[1]<=0) param[1] =100000000;
1298 PropagateTo(r,param[1],param[0]);
1299 return 0;
1300}
1301
1302