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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();
eab5961e 173 for (Int_t i=0;i<kNPlane;i++){
174 fdEdxPlane[i] = 0.0;
175 fTimBinPlane[i] = -1;
176 }
5443e65e 177
b3a5a838 178 fLhElectron = 0.0;
9c9d2487 179 fNWrong = 0;
180 fNRotate = 0;
3c625a9b 181 fStopped = 0;
4f1c04d3 182 fNExpected=0;
183 fNExpectedLast=0;
184 fNdedx =0;
185 fNCross =0;
186 fNLast =0;
187 fChi2Last =0;
188 fBackupTrack =0;
b3a5a838 189
5443e65e 190 fAlpha = alpha;
191 if (fAlpha < -TMath::Pi()) fAlpha += 2*TMath::Pi();
192 else if (fAlpha >= TMath::Pi()) fAlpha -= 2*TMath::Pi();
193
194 Double_t x, p[5]; t.GetExternalParameters(x,p);
195
196 fX=x;
197
b8dc2353 198 fY=p[0];
199 fZ=p[1];
c84a5e9e 200 fT=p[3]; x=GetLocalConvConst();
b3a5a838 201 fC=p[4]/x;
b8dc2353 202 fE=fC*fX - p[2];
5443e65e 203
204 //Conversion of the covariance matrix
205 Double_t c[15]; t.GetExternalCovariance(c);
79e94bf8 206
207 c[10]/=x; c[11]/=x; c[12]/=x; c[13]/=x; c[14]/=x*x;
208
209 Double_t c22=fX*fX*c[14] - 2*fX*c[12] + c[5];
210 Double_t c32=fX*c[13] - c[8];
211 Double_t c20=fX*c[10] - c[3], c21=fX*c[11] - c[4], c42=fX*c[14] - c[12];
212
213 fCyy=c[0 ];
214 fCzy=c[1 ]; fCzz=c[2 ];
215 fCey=c20; fCez=c21; fCee=c22;
216 fCty=c[6 ]; fCtz=c[7 ]; fCte=c32; fCtt=c[9 ];
217 fCcy=c[10]; fCcz=c[11]; fCce=c42; fCct=c[13]; fCcc=c[14];
218
219 // Initialization [SR, GSI, 18.02.2003]
7ad19338 220 for(UInt_t i=0; i<kMAX_CLUSTERS_PER_TRACK; i++) {
79e94bf8 221 fdQdl[i] = 0;
222 fIndex[i] = 0;
46e2d86c 223 fIndexBackup[i] = 0; // MI backup indexes
79e94bf8 224 }
4f1c04d3 225
03b0452e 226 for (Int_t i=0;i<3;i++) { fBudget[i]=0;};
79e94bf8 227}
228//_____________________________________________________________________________
229AliTRDtrack::AliTRDtrack(const AliESDtrack& t)
230 :AliKalmanTrack() {
231 //
232 // Constructor from AliESDtrack
233 //
03b0452e 234 fDE =0;
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 }
c73b3eb3 244 fdEdx=t.GetTRDsignal();
eab5961e 245 for (Int_t i=0;i<kNPlane;i++){
246 fdEdxPlane[i] = t.GetTRDsignals(i);
247 fTimBinPlane[i] = t.GetTRDTimBin(i);
248 }
79e94bf8 249
250 fLhElectron = 0.0;
251 fNWrong = 0;
3c625a9b 252 fStopped = 0;
79e94bf8 253 fNRotate = 0;
4f1c04d3 254 fNExpected =0;
255 fNExpectedLast=0;
256 fNdedx = 0;
257 fNCross =0;
258 fNLast =0;
259 fChi2Last =0;
260 fBackupTrack =0;
79e94bf8 261
262 fAlpha = t.GetAlpha();
263 if (fAlpha < -TMath::Pi()) fAlpha += 2*TMath::Pi();
264 else if (fAlpha >= TMath::Pi()) fAlpha -= 2*TMath::Pi();
265
266 Double_t x, p[5]; t.GetExternalParameters(x,p);
c5a8e3df 267 //Conversion of the covariance matrix
268 Double_t c[15]; t.GetExternalCovariance(c);
25cde026 269 if (t.GetStatus()&AliESDtrack::kTRDbackup){
f4e9508c 270 t.GetTRDExternalParameters(x,fAlpha,p,c);
271 if (fAlpha < -TMath::Pi()) fAlpha += 2*TMath::Pi();
272 else if (fAlpha >= TMath::Pi()) fAlpha -= 2*TMath::Pi();
c5a8e3df 273 }
79e94bf8 274
275 fX=x;
276
79e94bf8 277 fY=p[0];
c84a5e9e 278 fZ=p[1]; SaveLocalConvConst();
279 fT=p[3]; x=GetLocalConvConst();
79e94bf8 280 fC=p[4]/x;
281 fE=fC*fX - p[2];
282
5443e65e 283
284 c[10]/=x; c[11]/=x; c[12]/=x; c[13]/=x; c[14]/=x*x;
285
286 Double_t c22=fX*fX*c[14] - 2*fX*c[12] + c[5];
287 Double_t c32=fX*c[13] - c[8];
288 Double_t c20=fX*c[10] - c[3], c21=fX*c[11] - c[4], c42=fX*c[14] - c[12];
289
b8dc2353 290 fCyy=c[0 ];
291 fCzy=c[1 ]; fCzz=c[2 ];
292 fCey=c20; fCez=c21; fCee=c22;
293 fCty=c[6 ]; fCtz=c[7 ]; fCte=c32; fCtt=c[9 ];
294 fCcy=c[10]; fCcz=c[11]; fCce=c42; fCct=c[13]; fCcc=c[14];
5443e65e 295
0d5b5c27 296 // Initialization [SR, GSI, 18.02.2003]
7ad19338 297 for(UInt_t i=0; i<kMAX_CLUSTERS_PER_TRACK; i++) {
0d5b5c27 298 fdQdl[i] = 0;
46e2d86c 299 // fIndex[i] = 0; //MI store indexes
0d5b5c27 300 }
c630aafd 301
03b0452e 302 for (Int_t i=0;i<3;i++) { fBudget[i]=0;};
c630aafd 303 if ((t.GetStatus()&AliESDtrack::kTIME) == 0) return;
304 StartTimeIntegral();
305 Double_t times[10]; t.GetIntegratedTimes(times); SetIntegratedTimes(times);
306 SetIntegratedLength(t.GetIntegratedLength());
307
16d9fbba 308}
309
3fad3d32 310
311AliTRDtrack * AliTRDtrack::MakeTrack(const AliTrackReference *ref, Double_t mass)
312{
313 //
314 // Make dummy track from the track reference
315 // negative mass means opposite charge
316 //
317 Double_t xx[5];
318 Double_t cc[15];
319 for (Int_t i=0;i<15;i++) cc[i]=0;
320 Double_t x = ref->X(), y = ref->Y(), z = ref->Z();
321 Double_t alpha = TMath::ATan2(y,x);
322 Double_t xr = TMath::Sqrt(x*x+y*y);
323 xx[0] = 0;
324 xx[1] = z;
325 xx[3] = ref->Pz()/ref->Pt();
326 Float_t b[3];
327 Float_t xyz[3]={x,y,z};
328 Float_t convConst = 0;
329 (AliKalmanTrack::GetFieldMap())->Field(xyz,b);
330 convConst=1000/0.299792458/(1e-13 - b[2]);
331 xx[4] = 1./(convConst*ref->Pt());
332 if (mass<0) xx[4]*=-1.; // negative mass - negative direction
333 Double_t lcos = (x*ref->Px()+y*ref->Py())/(xr*ref->Pt());
334 Double_t lsin = TMath::Sin(TMath::ACos(lcos));
335 if (mass<0) lsin*=-1.;
336 xx[2] = xr*xx[4]-lsin;
337 AliTRDcluster cl;
338 AliTRDtrack * track = new AliTRDtrack(&cl,100,xx,cc,xr,alpha);
339 track->SetMass(TMath::Abs(mass));
340 track->StartTimeIntegral();
341 return track;
342}
343
344
16d9fbba 345AliTRDtrack::~AliTRDtrack()
346{
347 //
348 //
eab5961e 349
16d9fbba 350 if (fBackupTrack) delete fBackupTrack;
351 fBackupTrack=0;
eab5961e 352
16d9fbba 353}
9c9d2487 354
8206377c 355
7ad19338 356Float_t AliTRDtrack::StatusForTOF()
357{
03b0452e 358
359 Float_t res = (0.2 + 0.8*(fN/(fNExpected+5.)))*(0.4+0.6*fTracklets[5].GetN()/20.);
360 res *= (0.25+0.8*40./(40.+fBudget[2]));
361 return res;
362
4f1c04d3 363 Int_t status=0;
364 if (GetNumberOfClusters()<20) return 0; //
c84a5e9e 365 if (fN>110&&fChi2/(Float_t(fN))<3) return 3; //gold
366 if (fNLast>30&&fChi2Last/(Float_t(fNLast))<3) return 3; //gold
367 if (fNLast>20&&fChi2Last/(Float_t(fNLast))<2) return 3; //gold
368 if (fNLast/(fNExpectedLast+3.)>0.8 && fChi2Last/Float_t(fNLast)<5&&fNLast>20) return 2; //silber
369 if (fNLast>5 &&((fNLast+1.)/(fNExpectedLast+1.))>0.8&&fChi2Last/(fNLast-5.)<6) return 1;
370 //
4f1c04d3 371
372 return status;
373}
374
7ad19338 375
5443e65e 376//____________________________________________________________________________
377void AliTRDtrack::GetExternalParameters(Double_t& xr, Double_t x[5]) const {
378 //
379 // This function returns external TRD track representation
380 //
381 xr=fX;
382 x[0]=GetY();
383 x[1]=GetZ();
384 x[2]=GetSnp();
385 x[3]=GetTgl();
b8dc2353 386 x[4]=Get1Pt();
5443e65e 387}
388
389//_____________________________________________________________________________
390void AliTRDtrack::GetExternalCovariance(Double_t cc[15]) const {
391 //
392 // This function returns external representation of the covriance matrix.
393 //
c84a5e9e 394 Double_t a=GetLocalConvConst();
5443e65e 395
b3a5a838 396 Double_t c22=fX*fX*fCcc-2*fX*fCce+fCee;
397 Double_t c32=fX*fCct-fCte;
398 Double_t c20=fX*fCcy-fCey, c21=fX*fCcz-fCez, c42=fX*fCcc-fCce;
5443e65e 399
400 cc[0 ]=fCyy;
401 cc[1 ]=fCzy; cc[2 ]=fCzz;
402 cc[3 ]=c20; cc[4 ]=c21; cc[5 ]=c22;
403 cc[6 ]=fCty; cc[7 ]=fCtz; cc[8 ]=c32; cc[9 ]=fCtt;
b8dc2353 404 cc[10]=fCcy*a; cc[11]=fCcz*a; cc[12]=c42*a; cc[13]=fCct*a; cc[14]=fCcc*a*a;
405
5443e65e 406}
407
7ad19338 408
46d29e70 409//_____________________________________________________________________________
7ad19338 410void AliTRDtrack::GetCovariance(Double_t cc[15]) const {
b8dc2353 411
46d29e70 412 cc[0]=fCyy;
413 cc[1]=fCzy; cc[2]=fCzz;
b3a5a838 414 cc[3]=fCey; cc[4]=fCez; cc[5]=fCee;
415 cc[6]=fCcy; cc[7]=fCcz; cc[8]=fCce; cc[9]=fCcc;
416 cc[10]=fCty; cc[11]=fCtz; cc[12]=fCte; cc[13]=fCct; cc[14]=fCtt;
b8dc2353 417
46d29e70 418}
419
420//_____________________________________________________________________________
2a941f4e 421Int_t AliTRDtrack::Compare(const TObject *o) const {
46d29e70 422
5443e65e 423// Compares tracks according to their Y2 or curvature
46d29e70 424
425 AliTRDtrack *t=(AliTRDtrack*)o;
426 // Double_t co=t->GetSigmaY2();
427 // Double_t c =GetSigmaY2();
428
429 Double_t co=TMath::Abs(t->GetC());
430 Double_t c =TMath::Abs(GetC());
431
432 if (c>co) return 1;
433 else if (c<co) return -1;
434 return 0;
435}
436
a819a5f7 437//_____________________________________________________________________________
438void AliTRDtrack::CookdEdx(Double_t low, Double_t up) {
439 //-----------------------------------------------------------------
440 // Calculates dE/dX within the "low" and "up" cuts.
441 //-----------------------------------------------------------------
5443e65e 442
a819a5f7 443 Int_t i;
4f1c04d3 444 //Int_t nc=GetNumberOfClusters();
445 Int_t nc=fNdedx;
446 if (nc<10) {
447 SetdEdx(0);
448 return;
449 }
a819a5f7 450
7ad19338 451 Float_t sorted[kMAX_CLUSTERS_PER_TRACK];
5443e65e 452 for (i=0; i < nc; i++) {
c84a5e9e 453 sorted[i]=fdQdl[i];
5443e65e 454 }
a819a5f7 455 Int_t nl=Int_t(low*nc), nu=Int_t(up*nc);
456 Float_t dedx=0;
c84a5e9e 457 //for (i=nl; i<=nu; i++) dedx += sorted[i];
458 //dedx /= (nu-nl+1);
459 for (i=0; i<nc; i++) dedx += sorted[i]; // ADDED by PS
460 if((nu-nl)) dedx /= (nu-nl); // ADDED by PS
5443e65e 461
3551db50 462 //SetdEdx(dedx);
03b0452e 463 //
464 // now real truncated mean
465 for (i=0; i < nc; i++) {
466 sorted[i]=TMath::Abs(fdQdl[i]);
467 }
468 Int_t * index = new Int_t[nc];
469 TMath::Sort(nc, sorted, index,kFALSE);
470 dedx=0;
471 for (i=nl; i<=nu; i++) dedx += sorted[index[i]];
472 dedx /= (nu-nl+1);
473 fdEdxT = dedx;
474 delete [] index;
3551db50 475 SetdEdx(dedx);
476
a819a5f7 477}
478
7ad19338 479
46d29e70 480//_____________________________________________________________________________
b3a5a838 481Int_t AliTRDtrack::PropagateTo(Double_t xk,Double_t x0,Double_t rho)
46d29e70 482{
483 // Propagates a track of particle with mass=pm to a reference plane
484 // defined by x=xk through media of density=rho and radiationLength=x0
485
9c9d2487 486 if (xk == fX) return 1;
487
3c625a9b 488 if (TMath::Abs(fC*xk - fE) >= 0.90000) {
489 // Int_t n=GetNumberOfClusters();
490 //if (n>4) cerr << n << " AliTRDtrack: Propagation failed, \tPt = "
491 // << GetPt() << "\t" << GetLabel() << "\t" << GetMass() << endl;
46d29e70 492 return 0;
493 }
c84a5e9e 494 Double_t lcc=GetLocalConvConst();
46d29e70 495
0d5b5c27 496 // track Length measurement [SR, GSI, 17.02.2003]
497 Double_t oldX = fX, oldY = fY, oldZ = fZ;
498
46d29e70 499 Double_t x1=fX, x2=x1+(xk-x1), dx=x2-x1, y1=fY, z1=fZ;
5443e65e 500 Double_t c1=fC*x1 - fE;
501 if((c1*c1) > 1) return 0;
502 Double_t r1=sqrt(1.- c1*c1);
b8dc2353 503 Double_t c2=fC*x2 - fE;
5443e65e 504 if((c2*c2) > 1) return 0;
505 Double_t r2=sqrt(1.- c2*c2);
46d29e70 506
507 fY += dx*(c1+c2)/(r1+r2);
508 fZ += dx*(c1+c2)/(c1*r2 + c2*r1)*fT;
509
510 //f = F - 1
511 Double_t rr=r1+r2, cc=c1+c2, xx=x1+x2;
b3a5a838 512 Double_t f02=-dx*(2*rr + cc*(c1/r1 + c2/r2))/(rr*rr);
513 Double_t f04= dx*(rr*xx + cc*(c1*x1/r1+c2*x2/r2))/(rr*rr);
46d29e70 514 Double_t cr=c1*r2+c2*r1;
b3a5a838 515 Double_t f12=-dx*fT*(2*cr + cc*(c2*c1/r1-r1 + c1*c2/r2-r2))/(cr*cr);
516 Double_t f13= dx*cc/cr;
b8dc2353 517 Double_t f14=dx*fT*(cr*xx-cc*(r1*x2-c2*c1*x1/r1+r2*x1-c1*c2*x2/r2))/(cr*cr);
46d29e70 518
519 //b = C*ft
b3a5a838 520 Double_t b00=f02*fCey + f04*fCcy, b01=f12*fCey + f14*fCcy + f13*fCty;
521 Double_t b10=f02*fCez + f04*fCcz, b11=f12*fCez + f14*fCcz + f13*fCtz;
522 Double_t b20=f02*fCee + f04*fCce, b21=f12*fCee + f14*fCce + f13*fCte;
523 Double_t b30=f02*fCte + f04*fCct, b31=f12*fCte + f14*fCct + f13*fCtt;
524 Double_t b40=f02*fCce + f04*fCcc, b41=f12*fCce + f14*fCcc + f13*fCct;
46d29e70 525
526 //a = f*b = f*C*ft
b3a5a838 527 Double_t a00=f02*b20+f04*b40,a01=f02*b21+f04*b41,a11=f12*b21+f14*b41+f13*b31;
46d29e70 528
529 //F*C*Ft = C + (a + b + bt)
530 fCyy += a00 + 2*b00;
531 fCzy += a01 + b01 + b10;
b3a5a838 532 fCey += b20;
533 fCty += b30;
534 fCcy += b40;
46d29e70 535 fCzz += a11 + 2*b11;
b3a5a838 536 fCez += b21;
537 fCtz += b31;
b8dc2353 538 fCcz += b41;
46d29e70 539
b8dc2353 540 fX=x2;
46d29e70 541
c84a5e9e 542 //Change of the magnetic field *************
543 SaveLocalConvConst();
544 cc=fC;
545 fC*=lcc/GetLocalConvConst();
546 fE+=fX*(fC-cc);
547
46d29e70 548 //Multiple scattering ******************
46d29e70 549 Double_t d=sqrt((x1-fX)*(x1-fX)+(y1-fY)*(y1-fY)+(z1-fZ)*(z1-fZ));
b8dc2353 550 Double_t p2=(1.+ GetTgl()*GetTgl())/(Get1Pt()*Get1Pt());
b3a5a838 551 Double_t beta2=p2/(p2 + GetMass()*GetMass());
b8dc2353 552 Double_t theta2=14.1*14.1/(beta2*p2*1e6)*d/x0*rho;
c84a5e9e 553
46d29e70 554 Double_t ey=fC*fX - fE, ez=fT;
555 Double_t xz=fC*ez, zz1=ez*ez+1, xy=fE+ey;
3c625a9b 556
46d29e70 557 fCee += (2*ey*ez*ez*fE+1-ey*ey+ez*ez+fE*fE*ez*ez)*theta2;
558 fCte += ez*zz1*xy*theta2;
559 fCtt += zz1*zz1*theta2;
b3a5a838 560 fCce += xz*ez*xy*theta2;
561 fCct += xz*zz1*theta2;
562 fCcc += xz*xz*theta2;
3c625a9b 563 /*
564 Double_t dc22 = (1-ey*ey+xz*xz*fX*fX)*theta2;
565 Double_t dc32 = (xz*fX*zz1)*theta2;
566 Double_t dc33 = (zz1*zz1)*theta2;
567 Double_t dc42 = (xz*fX*xz)*theta2;
568 Double_t dc43 = (zz1*xz)*theta2;
569 Double_t dc44 = (xz*xz)*theta2;
570 fCee += dc22;
571 fCte += dc32;
572 fCtt += dc33;
573 fCce += dc42;
574 fCct += dc43;
575 fCcc += dc44;
576 */
46d29e70 577 //Energy losses************************
b8dc2353 578 if((5940*beta2/(1-beta2+1e-10) - beta2) < 0) return 0;
5443e65e 579
c84a5e9e 580 Double_t dE=0.153e-3/beta2*(log(5940*beta2/(1-beta2+1e-10)) - beta2)*d*rho;
96c3a73c 581 //
582 // suspicious part - think about it ?
583 Double_t kinE = TMath::Sqrt(p2);
584 if (dE>0.8*kinE) dE = 0.8*kinE; //
585 if (dE<0) dE = 0.0; // not valid region for Bethe bloch
586 //
587 //
3fad3d32 588 fDE+=dE;
b8dc2353 589 if (x1 < x2) dE=-dE;
590 cc=fC;
b3a5a838 591 fC*=(1.- sqrt(p2+GetMass()*GetMass())/p2*dE);
b8dc2353 592 fE+=fX*(fC-cc);
3fad3d32 593 // 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 594 Double_t sigmade = 0.07*TMath::Sqrt(TMath::Abs(dE)); // energy loss fluctuation
3fad3d32 595 Double_t sigmac2 = sigmade*sigmade*fC*fC*(p2+GetMass()*GetMass())/(p2*p2);
596 fCcc += sigmac2;
597 fCee += fX*fX*sigmac2;
c84a5e9e 598
0d5b5c27 599 // track time measurement [SR, GSI 17.02.2002]
0fa7dfa7 600 if (x1 < x2)
0d5b5c27 601 if (IsStartedTimeIntegral()) {
03b0452e 602 Double_t l2 = TMath::Sqrt((fX-oldX)*(fX-oldX) + (fY-oldY)*(fY-oldY) + (fZ-oldZ)*(fZ-oldZ));
603 if (TMath::Abs(l2*fC)>0.0001){
604 // make correction for curvature if neccesary
605 l2 = 0.5*TMath::Sqrt((fX-oldX)*(fX-oldX) + (fY-oldY)*(fY-oldY));
606 l2 = 2*TMath::ASin(l2*fC)/fC;
607 l2 = TMath::Sqrt(l2*l2+(fZ-oldZ)*(fZ-oldZ));
608 }
609 AddTimeStep(l2);
0d5b5c27 610 }
611
b8dc2353 612 return 1;
46d29e70 613}
614
7ad19338 615
46d29e70 616//_____________________________________________________________________________
fd621f36 617Int_t AliTRDtrack::Update(const AliTRDcluster *c, Double_t chisq, UInt_t index, Double_t h01)
46d29e70 618{
619 // Assignes found cluster to the track and updates track information
620
b8dc2353 621 Bool_t fNoTilt = kTRUE;
622 if(TMath::Abs(h01) > 0.003) fNoTilt = kFALSE;
46e2d86c 623 // add angular effect to the error contribution - MI
3c625a9b 624 Float_t tangent2 = (fC*fX-fE)*(fC*fX-fE);
625 if (tangent2 < 0.90000){
46e2d86c 626 tangent2 = tangent2/(1.-tangent2);
627 }
628 Float_t errang = tangent2*0.04; //
629 Float_t padlength = TMath::Sqrt(c->GetSigmaZ2()*12.);
fd621f36 630
46e2d86c 631 Double_t r00=c->GetSigmaY2() +errang, r01=0., r11=c->GetSigmaZ2()*100.;
b8dc2353 632 r00+=fCyy; r01+=fCzy; r11+=fCzz;
46d29e70 633 Double_t det=r00*r11 - r01*r01;
634 Double_t tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det;
635
b8dc2353 636 Double_t k00=fCyy*r00+fCzy*r01, k01=fCyy*r01+fCzy*r11;
637 Double_t k10=fCzy*r00+fCzz*r01, k11=fCzy*r01+fCzz*r11;
638 Double_t k20=fCey*r00+fCez*r01, k21=fCey*r01+fCez*r11;
639 Double_t k30=fCty*r00+fCtz*r01, k31=fCty*r01+fCtz*r11;
640 Double_t k40=fCcy*r00+fCcz*r01, k41=fCcy*r01+fCcz*r11;
46d29e70 641
642 Double_t dy=c->GetY() - fY, dz=c->GetZ() - fZ;
b3a5a838 643 Double_t cur=fC + k40*dy + k41*dz, eta=fE + k20*dy + k21*dz;
fd621f36 644
46d29e70 645
b8dc2353 646 if(fNoTilt) {
3c625a9b 647 if (TMath::Abs(cur*fX-eta) >= 0.90000) {
648 // Int_t n=GetNumberOfClusters();
649 //if (n>4) cerr<<n<<" AliTRDtrack warning: Filtering failed !\n";
b8dc2353 650 return 0;
651 }
652 fY += k00*dy + k01*dz;
653 fZ += k10*dy + k11*dz;
654 fE = eta;
9c9d2487 655 //fT += k30*dy + k31*dz;
b8dc2353 656 fC = cur;
657 }
658 else {
7ad19338 659 Double_t xu_factor = 100.; // empirical factor set by C.Xu
b8dc2353 660 // in the first tilt version
46e2d86c 661 dy=c->GetY() - fY; dz=c->GetZ() - fZ;
662 dy=dy+h01*dz;
663 Float_t add=0;
664 if (TMath::Abs(dz)>padlength/2.){
3c625a9b 665 Float_t dy2 = c->GetY() - fY;
666 Float_t sign = (dz>0) ? -1.: 1.;
667 dy2+=h01*sign*padlength/2.;
668 dy = dy2;
669 add = 0;
46e2d86c 670 }
671
672
673
7ad19338 674 r00=c->GetSigmaY2()+errang+add, r01=0., r11=c->GetSigmaZ2()*xu_factor;
b8dc2353 675 r00+=(fCyy+2.0*h01*fCzy+h01*h01*fCzz);
1299b231 676 r01+=(fCzy+h01*fCzz);
677 r11+=fCzz;
46e2d86c 678
b8dc2353 679 det=r00*r11 - r01*r01;
680 tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det;
681
682 k00=fCyy*r00+fCzy*(r01+h01*r00),k01=fCyy*r01+fCzy*(r11+h01*r01);
683 k10=fCzy*r00+fCzz*(r01+h01*r00),k11=fCzy*r01+fCzz*(r11+h01*r01);
684 k20=fCey*r00+fCez*(r01+h01*r00),k21=fCey*r01+fCez*(r11+h01*r01);
685 k30=fCty*r00+fCtz*(r01+h01*r00),k31=fCty*r01+fCtz*(r11+h01*r01);
686 k40=fCcy*r00+fCcz*(r01+h01*r00),k41=fCcy*r01+fCcz*(r11+h01*r01);
687
b8dc2353 688
689 cur=fC + k40*dy + k41*dz; eta=fE + k20*dy + k21*dz;
3c625a9b 690 if (TMath::Abs(cur*fX-eta) >= 0.90000) {
691 // Int_t n=GetNumberOfClusters();
692 //if (n>4) cerr<<n<<" AliTRDtrack warning: Filtering failed !\n";
b8dc2353 693 return 0;
694 }
695 fY += k00*dy + k01*dz;
696 fZ += k10*dy + k11*dz;
697 fE = eta;
46e2d86c 698 fT += k30*dy + k31*dz;
b8dc2353 699 fC = cur;
700
701 k01+=h01*k00;
702 k11+=h01*k10;
703 k21+=h01*k20;
704 k31+=h01*k30;
705 k41+=h01*k40;
46e2d86c 706
b8dc2353 707 }
46e2d86c 708 Double_t c01=fCzy, c02=fCey, c03=fCty, c04=fCcy;
709 Double_t c12=fCez, c13=fCtz, c14=fCcz;
710
b8dc2353 711
46d29e70 712 fCyy-=k00*fCyy+k01*fCzy; fCzy-=k00*c01+k01*fCzz;
b3a5a838 713 fCey-=k00*c02+k01*c12; fCty-=k00*c03+k01*c13;
714 fCcy-=k00*c04+k01*c14;
b8dc2353 715
46d29e70 716 fCzz-=k10*c01+k11*fCzz;
b3a5a838 717 fCez-=k10*c02+k11*c12; fCtz-=k10*c03+k11*c13;
718 fCcz-=k10*c04+k11*c14;
b8dc2353 719
b3a5a838 720 fCee-=k20*c02+k21*c12; fCte-=k20*c03+k21*c13;
721 fCce-=k20*c04+k21*c14;
b8dc2353 722
b3a5a838 723 fCtt-=k30*c03+k31*c13;
46e2d86c 724 fCct-=k40*c03+k41*c13;
725 //fCct-=k30*c04+k31*c14; // symmetric formula MI
b8dc2353 726
727 fCcc-=k40*c04+k41*c14;
46d29e70 728
b8dc2353 729 Int_t n=GetNumberOfClusters();
5443e65e 730 fIndex[n]=index;
b8dc2353 731 SetNumberOfClusters(n+1);
fd621f36 732
b8dc2353 733 SetChi2(GetChi2()+chisq);
46d29e70 734 // cerr<<"in update: fIndex["<<fN<<"] = "<<index<<endl;
5443e65e 735
b8dc2353 736 return 1;
46d29e70 737}
46e2d86c 738//_____________________________________________________________________________
3c625a9b 739Int_t AliTRDtrack::UpdateMI(const AliTRDcluster *c, Double_t chisq, UInt_t index, Double_t h01,
4f1c04d3 740 Int_t /*plane*/)
46e2d86c 741{
742 // Assignes found cluster to the track and updates track information
743
744 Bool_t fNoTilt = kTRUE;
745 if(TMath::Abs(h01) > 0.003) fNoTilt = kFALSE;
3c625a9b 746 // add angular effect to the error contribution and make correction - MI
c5a8e3df 747 //AliTRDclusterCorrection *corrector = AliTRDclusterCorrection::GetCorrection();
3c625a9b 748 //
749 Double_t tangent2 = (fC*fX-fE)*(fC*fX-fE);
750 if (tangent2 < 0.90000){
46e2d86c 751 tangent2 = tangent2/(1.-tangent2);
752 }
3c625a9b 753 Double_t tangent = TMath::Sqrt(tangent2);
754 if ((fC*fX-fE)<0) tangent*=-1;
c84a5e9e 755 // Double_t correction = 0*plane;
756 Double_t errang = tangent2*0.04; //
757 Double_t errsys =0.025*0.025*20; //systematic error part
758 Float_t extend =1;
759 if (c->GetNPads()==4) extend=2;
760 //if (c->GetNPads()==5) extend=3;
761 //if (c->GetNPads()==6) extend=3;
762 //if (c->GetQ()<15) return 1;
4f1c04d3 763
c5a8e3df 764 /*
3c625a9b 765 if (corrector!=0){
766 //if (0){
767 correction = corrector->GetCorrection(plane,c->GetLocalTimeBin(),tangent);
768 if (TMath::Abs(correction)>0){
769 //if we have info
770 errang = corrector->GetSigma(plane,c->GetLocalTimeBin(),tangent);
771 errang *= errang;
772 errang += tangent2*0.04;
773 }
774 }
c5a8e3df 775 */
3c625a9b 776 //
c84a5e9e 777 // Double_t padlength = TMath::Sqrt(c->GetSigmaZ2()*12.);
778
779 Double_t r00=(c->GetSigmaY2() +errang+errsys)*extend, r01=0., r11=c->GetSigmaZ2()*10000.;
46e2d86c 780 r00+=fCyy; r01+=fCzy; r11+=fCzz;
781 Double_t det=r00*r11 - r01*r01;
782 Double_t tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det;
783
784 Double_t k00=fCyy*r00+fCzy*r01, k01=fCyy*r01+fCzy*r11;
785 Double_t k10=fCzy*r00+fCzz*r01, k11=fCzy*r01+fCzz*r11;
786 Double_t k20=fCey*r00+fCez*r01, k21=fCey*r01+fCez*r11;
787 Double_t k30=fCty*r00+fCtz*r01, k31=fCty*r01+fCtz*r11;
788 Double_t k40=fCcy*r00+fCcz*r01, k41=fCcy*r01+fCcz*r11;
789
790 Double_t dy=c->GetY() - fY, dz=c->GetZ() - fZ;
791 Double_t cur=fC + k40*dy + k41*dz, eta=fE + k20*dy + k21*dz;
792
793
794 if(fNoTilt) {
3c625a9b 795 if (TMath::Abs(cur*fX-eta) >= 0.90000) {
796 // Int_t n=GetNumberOfClusters();
797 //if (n>4) cerr<<n<<" AliTRDtrack warning: Filtering failed !\n";
46e2d86c 798 return 0;
799 }
800 fY += k00*dy + k01*dz;
801 fZ += k10*dy + k11*dz;
802 fE = eta;
803 //fT += k30*dy + k31*dz;
804 fC = cur;
805 }
806 else {
c84a5e9e 807 Double_t padlength = TMath::Sqrt(c->GetSigmaZ2()*12);
4f1c04d3 808
7ad19338 809 Double_t xu_factor = 1000.; // empirical factor set by C.Xu
46e2d86c 810 // in the first tilt version
811 dy=c->GetY() - fY; dz=c->GetZ() - fZ;
c84a5e9e 812 //dy=dy+h01*dz+correction;
4f1c04d3 813
814 Double_t tiltdz = dz;
c84a5e9e 815 if (TMath::Abs(tiltdz)>padlength/2.) {
816 tiltdz = TMath::Sign(padlength/2,dz);
817 }
818 // dy=dy+h01*dz;
4f1c04d3 819 dy=dy+h01*tiltdz;
820
c84a5e9e 821 Double_t add=0;
822 if (TMath::Abs(dz)>padlength/2.){
823 //Double_t dy2 = c->GetY() - fY;
824 //Double_t sign = (dz>0) ? -1.: 1.;
825 //dy2-=h01*sign*padlength/2.;
826 //dy = dy2;
827 add =1;
828 }
829 Double_t s00 = (c->GetSigmaY2()+errang)*extend+errsys+add; // error pad
7ad19338 830 Double_t s11 = c->GetSigmaZ2()*xu_factor; // error pad-row
46e2d86c 831 //
832 r00 = fCyy + 2*fCzy*h01 + fCzz*h01*h01+s00;
833 r01 = fCzy + fCzz*h01;
834 r11 = fCzz + s11;
835 det = r00*r11 - r01*r01;
836 // inverse matrix
837 tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det;
838
839 // K matrix
840 k00=fCyy*r00+fCzy*(r01+h01*r00),k01=fCyy*r01+fCzy*(r11+h01*r01);
841 k10=fCzy*r00+fCzz*(r01+h01*r00),k11=fCzy*r01+fCzz*(r11+h01*r01);
842 k20=fCey*r00+fCez*(r01+h01*r00),k21=fCey*r01+fCez*(r11+h01*r01);
843 k30=fCty*r00+fCtz*(r01+h01*r00),k31=fCty*r01+fCtz*(r11+h01*r01);
844 k40=fCcy*r00+fCcz*(r01+h01*r00),k41=fCcy*r01+fCcz*(r11+h01*r01);
845 //
846 //Update measurement
847 cur=fC + k40*dy + k41*dz; eta=fE + k20*dy + k21*dz;
3c625a9b 848 if (TMath::Abs(cur*fX-eta) >= 0.90000) {
849 //Int_t n=GetNumberOfClusters();
850 // if (n>4) cerr<<n<<" AliTRDtrack warning: Filtering failed !\n";
46e2d86c 851 return 0;
852 }
853 fY += k00*dy + k01*dz;
854 fZ += k10*dy + k11*dz;
855 fE = eta;
856 fT += k30*dy + k31*dz;
857 fC = cur;
858
859 k01+=h01*k00;
860 k11+=h01*k10;
861 k21+=h01*k20;
862 k31+=h01*k30;
863 k41+=h01*k40;
864
865 }
866 //Update covariance
867 //
868 //
869 Double_t oldyy = fCyy, oldzz = fCzz; //, oldee=fCee, oldcc =fCcc;
870 Double_t oldzy = fCzy, oldey = fCey, oldty=fCty, oldcy =fCcy;
871 Double_t oldez = fCez, oldtz = fCtz, oldcz=fCcz;
872 //Double_t oldte = fCte, oldce = fCce;
873 //Double_t oldct = fCct;
874
875 fCyy-=k00*oldyy+k01*oldzy;
876 fCzy-=k10*oldyy+k11*oldzy;
877 fCey-=k20*oldyy+k21*oldzy;
878 fCty-=k30*oldyy+k31*oldzy;
879 fCcy-=k40*oldyy+k41*oldzy;
880 //
881 fCzz-=k10*oldzy+k11*oldzz;
882 fCez-=k20*oldzy+k21*oldzz;
883 fCtz-=k30*oldzy+k31*oldzz;
884 fCcz-=k40*oldzy+k41*oldzz;
885 //
886 fCee-=k20*oldey+k21*oldez;
887 fCte-=k30*oldey+k31*oldez;
888 fCce-=k40*oldey+k41*oldez;
889 //
890 fCtt-=k30*oldty+k31*oldtz;
891 fCct-=k40*oldty+k41*oldtz;
892 //
893 fCcc-=k40*oldcy+k41*oldcz;
894 //
895
896 Int_t n=GetNumberOfClusters();
897 fIndex[n]=index;
898 SetNumberOfClusters(n+1);
899
900 SetChi2(GetChi2()+chisq);
901 // cerr<<"in update: fIndex["<<fN<<"] = "<<index<<endl;
902
903 return 1;
904}
46d29e70 905
7ad19338 906
907
7ad19338 908//_____________________________________________________________________________
909Int_t AliTRDtrack::UpdateMI(const AliTRDtracklet &tracklet)
910{
911 //
912 // Assignes found tracklet to the track and updates track information
913 //
914 //
915 Double_t r00=(tracklet.GetTrackletSigma2()), r01=0., r11= 10000.;
916 r00+=fCyy; r01+=fCzy; r11+=fCzz;
917 //
918 Double_t det=r00*r11 - r01*r01;
919 Double_t tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det;
920 //
921
922 Double_t dy=tracklet.GetY() - fY, dz=tracklet.GetZ() - fZ;
923
924
925 Double_t s00 = tracklet.GetTrackletSigma2(); // error pad
926 Double_t s11 = 100000; // error pad-row
927 Float_t h01 = tracklet.GetTilt();
928 //
929 // r00 = fCyy + 2*fCzy*h01 + fCzz*h01*h01+s00;
930 r00 = fCyy + fCzz*h01*h01+s00;
931 // r01 = fCzy + fCzz*h01;
932 r01 = fCzy ;
933 r11 = fCzz + s11;
934 det = r00*r11 - r01*r01;
935 // inverse matrix
936 tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det;
937
938 Double_t k00=fCyy*r00+fCzy*r01, k01=fCyy*r01+fCzy*r11;
939 Double_t k10=fCzy*r00+fCzz*r01, k11=fCzy*r01+fCzz*r11;
940 Double_t k20=fCey*r00+fCez*r01, k21=fCey*r01+fCez*r11;
941 Double_t k30=fCty*r00+fCtz*r01, k31=fCty*r01+fCtz*r11;
942 Double_t k40=fCcy*r00+fCcz*r01, k41=fCcy*r01+fCcz*r11;
943
944 // K matrix
945// k00=fCyy*r00+fCzy*(r01+h01*r00),k01=fCyy*r01+fCzy*(r11+h01*r01);
946// k10=fCzy*r00+fCzz*(r01+h01*r00),k11=fCzy*r01+fCzz*(r11+h01*r01);
947// k20=fCey*r00+fCez*(r01+h01*r00),k21=fCey*r01+fCez*(r11+h01*r01);
948// k30=fCty*r00+fCtz*(r01+h01*r00),k31=fCty*r01+fCtz*(r11+h01*r01);
949// k40=fCcy*r00+fCcz*(r01+h01*r00),k41=fCcy*r01+fCcz*(r11+h01*r01);
950 //
951 //Update measurement
952 Double_t cur=fC + k40*dy + k41*dz, eta=fE + k20*dy + k21*dz;
953 // cur=fC + k40*dy + k41*dz; eta=fE + k20*dy + k21*dz;
954 if (TMath::Abs(cur*fX-eta) >= 0.90000) {
955 //Int_t n=GetNumberOfClusters();
956 // if (n>4) cerr<<n<<" AliTRDtrack warning: Filtering failed !\n";
957 return 0;
958 }
959// k01+=h01*k00;
960// k11+=h01*k10;
961// k21+=h01*k20;
962// k31+=h01*k30;
963// k41+=h01*k40;
964
965
966 fY += k00*dy + k01*dz;
967 fZ += k10*dy + k11*dz;
968 fE = eta;
969 fT += k30*dy + k31*dz;
970 fC = cur;
971
972
973 //Update covariance
974 //
975 //
976 Double_t oldyy = fCyy, oldzz = fCzz; //, oldee=fCee, oldcc =fCcc;
977 Double_t oldzy = fCzy, oldey = fCey, oldty=fCty, oldcy =fCcy;
978 Double_t oldez = fCez, oldtz = fCtz, oldcz=fCcz;
979 //Double_t oldte = fCte, oldce = fCce;
980 //Double_t oldct = fCct;
981
982 fCyy-=k00*oldyy+k01*oldzy;
983 fCzy-=k10*oldyy+k11*oldzy;
984 fCey-=k20*oldyy+k21*oldzy;
985 fCty-=k30*oldyy+k31*oldzy;
986 fCcy-=k40*oldyy+k41*oldzy;
987 //
988 fCzz-=k10*oldzy+k11*oldzz;
989 fCez-=k20*oldzy+k21*oldzz;
990 fCtz-=k30*oldzy+k31*oldzz;
991 fCcz-=k40*oldzy+k41*oldzz;
992 //
993 fCee-=k20*oldey+k21*oldez;
994 fCte-=k30*oldey+k31*oldez;
995 fCce-=k40*oldey+k41*oldez;
996 //
997 fCtt-=k30*oldty+k31*oldtz;
998 fCct-=k40*oldty+k41*oldtz;
999 //
1000 fCcc-=k40*oldcy+k41*oldcz;
1001 //
1002 /*
1003 Int_t n=GetNumberOfClusters();
1004 fIndex[n]=index;
1005 SetNumberOfClusters(n+1);
1006
1007 SetChi2(GetChi2()+chisq);
1008 // cerr<<"in update: fIndex["<<fN<<"] = "<<index<<endl;
1009 */
1010 return 1;
1011}
1012
1013
c84a5e9e 1014
46d29e70 1015//_____________________________________________________________________________
3fad3d32 1016Int_t AliTRDtrack::Rotate(Double_t alpha, Bool_t absolute)
46d29e70 1017{
1018 // Rotates track parameters in R*phi plane
3fad3d32 1019 // if absolute rotation alpha is in global system
1020 // otherwise alpha rotation is relative to the current rotation angle
9c9d2487 1021
3fad3d32 1022 if (absolute) {
1023 alpha -= fAlpha;
1024 }
1025 else{
1026 fNRotate++;
1027 }
46d29e70 1028
1029 fAlpha += alpha;
b3a5a838 1030 if (fAlpha<-TMath::Pi()) fAlpha += 2*TMath::Pi();
b8dc2353 1031 if (fAlpha>=TMath::Pi()) fAlpha -= 2*TMath::Pi();
46d29e70 1032
1033 Double_t x1=fX, y1=fY;
1034 Double_t ca=cos(alpha), sa=sin(alpha);
1035 Double_t r1=fC*fX - fE;
1036
1037 fX = x1*ca + y1*sa;
b8dc2353 1038 fY =-x1*sa + y1*ca;
1039 if((r1*r1) > 1) return 0;
46d29e70 1040 fE=fE*ca + (fC*y1 + sqrt(1.- r1*r1))*sa;
1041
1042 Double_t r2=fC*fX - fE;
3c625a9b 1043 if (TMath::Abs(r2) >= 0.90000) {
b8dc2353 1044 Int_t n=GetNumberOfClusters();
5443e65e 1045 if (n>4) cerr<<n<<" AliTRDtrack warning: Rotation failed !\n";
46d29e70 1046 return 0;
1047 }
1048
b8dc2353 1049 if((r2*r2) > 1) return 0;
46d29e70 1050 Double_t y0=fY + sqrt(1.- r2*r2)/fC;
1051 if ((fY-y0)*fC >= 0.) {
b8dc2353 1052 Int_t n=GetNumberOfClusters();
5443e65e 1053 if (n>4) cerr<<n<<" AliTRDtrack warning: Rotation failed !!!\n";
46d29e70 1054 return 0;
1055 }
1056
1057 //f = F - 1
b3a5a838 1058 Double_t f00=ca-1, f24=(y1 - r1*x1/sqrt(1.- r1*r1))*sa,
b8dc2353 1059 f20=fC*sa, f22=(ca + sa*r1/sqrt(1.- r1*r1))-1;
46d29e70 1060
1061 //b = C*ft
b3a5a838 1062 Double_t b00=fCyy*f00, b02=fCyy*f20+fCcy*f24+fCey*f22;
1063 Double_t b10=fCzy*f00, b12=fCzy*f20+fCcz*f24+fCez*f22;
1064 Double_t b20=fCey*f00, b22=fCey*f20+fCce*f24+fCee*f22;
1065 Double_t b30=fCty*f00, b32=fCty*f20+fCct*f24+fCte*f22;
1066 Double_t b40=fCcy*f00, b42=fCcy*f20+fCcc*f24+fCce*f22;
46d29e70 1067
1068 //a = f*b = f*C*ft
b3a5a838 1069 Double_t a00=f00*b00, a02=f00*b02, a22=f20*b02+f24*b42+f22*b22;
46d29e70 1070
46d29e70 1071 //F*C*Ft = C + (a + b + bt)
1072 fCyy += a00 + 2*b00;
1073 fCzy += b10;
b3a5a838 1074 fCey += a02+b20+b02;
1075 fCty += b30;
1076 fCcy += b40;
1077 fCez += b12;
1078 fCte += b32;
1079 fCee += a22 + 2*b22;
1080 fCce += b42;
46d29e70 1081
b8dc2353 1082 return 1;
46d29e70 1083}
1084
7ad19338 1085
46d29e70 1086//_____________________________________________________________________________
fd621f36 1087Double_t AliTRDtrack::GetPredictedChi2(const AliTRDcluster *c, Double_t h01) const
46d29e70 1088{
7ad19338 1089
b8dc2353 1090 Bool_t fNoTilt = kTRUE;
1091 if(TMath::Abs(h01) > 0.003) fNoTilt = kFALSE;
1092 Double_t chi2, dy, r00, r01, r11;
1093
1094 if(fNoTilt) {
1095 dy=c->GetY() - fY;
1096 r00=c->GetSigmaY2();
1097 chi2 = (dy*dy)/r00;
46d29e70 1098 }
b8dc2353 1099 else {
4f1c04d3 1100 Double_t padlength = TMath::Sqrt(c->GetSigmaZ2()*12);
1101 //
b8dc2353 1102 r00=c->GetSigmaY2(); r01=0.; r11=c->GetSigmaZ2();
1103 r00+=fCyy; r01+=fCzy; r11+=fCzz;
1104
1105 Double_t det=r00*r11 - r01*r01;
1106 if (TMath::Abs(det) < 1.e-10) {
1107 Int_t n=GetNumberOfClusters();
1108 if (n>4) cerr<<n<<" AliTRDtrack warning: Singular matrix !\n";
1109 return 1e10;
1110 }
1111 Double_t tmp=r00; r00=r11; r11=tmp; r01=-r01;
1112 Double_t dy=c->GetY() - fY, dz=c->GetZ() - fZ;
4f1c04d3 1113 Double_t tiltdz = dz;
1114 if (TMath::Abs(tiltdz)>padlength/2.) {
1115 tiltdz = TMath::Sign(padlength/2,dz);
1116 }
1117 // dy=dy+h01*dz;
1118 dy=dy+h01*tiltdz;
a819a5f7 1119
b8dc2353 1120 chi2 = (dy*r00*dy + 2*r01*dy*dz + dz*r11*dz)/det;
1121 }
1122 return chi2;
8206377c 1123}
46d29e70 1124
7ad19338 1125
46d29e70 1126//_________________________________________________________________________
1127void AliTRDtrack::GetPxPyPz(Double_t& px, Double_t& py, Double_t& pz) const
1128{
1129 // Returns reconstructed track momentum in the global system.
1130
1131 Double_t pt=TMath::Abs(GetPt()); // GeV/c
1132 Double_t r=fC*fX-fE;
5443e65e 1133
1134 Double_t y0;
1135 if(r > 1) { py = pt; px = 0; }
1136 else if(r < -1) { py = -pt; px = 0; }
1137 else {
1138 y0=fY + sqrt(1.- r*r)/fC;
1139 px=-pt*(fY-y0)*fC; //cos(phi);
1140 py=-pt*(fE-fX*fC); //sin(phi);
1141 }
46d29e70 1142 pz=pt*fT;
1143 Double_t tmp=px*TMath::Cos(fAlpha) - py*TMath::Sin(fAlpha);
1144 py=px*TMath::Sin(fAlpha) + py*TMath::Cos(fAlpha);
1145 px=tmp;
1146
1147}
1148
5443e65e 1149//_________________________________________________________________________
1150void AliTRDtrack::GetGlobalXYZ(Double_t& x, Double_t& y, Double_t& z) const
46d29e70 1151{
5443e65e 1152 // Returns reconstructed track coordinates in the global system.
1153
1154 x = fX; y = fY; z = fZ;
1155 Double_t tmp=x*TMath::Cos(fAlpha) - y*TMath::Sin(fAlpha);
1156 y=x*TMath::Sin(fAlpha) + y*TMath::Cos(fAlpha);
1157 x=tmp;
1158
1159}
3ab6f951 1160
5443e65e 1161//_________________________________________________________________________
1162void AliTRDtrack::ResetCovariance() {
1163 //
1164 // Resets covariance matrix
1165 //
46d29e70 1166
5443e65e 1167 fCyy*=10.;
b8dc2353 1168 fCzy=0.; fCzz*=10.;
1169 fCey=0.; fCez=0.; fCee*=10.;
1170 fCty=0.; fCtz=0.; fCte=0.; fCtt*=10.;
1171 fCcy=0.; fCcz=0.; fCce=0.; fCct=0.; fCcc*=10.;
5443e65e 1172}
b8dc2353 1173
46e2d86c 1174void AliTRDtrack::ResetCovariance(Float_t mult) {
1175 //
1176 // Resets covariance matrix
1177 //
1178
1179 fCyy*=mult;
4f1c04d3 1180 fCzy*=0.; fCzz*=1.;
3c625a9b 1181 fCey*=0.; fCez*=0.; fCee*=mult;
4f1c04d3 1182 fCty*=0.; fCtz*=0.; fCte*=0.; fCtt*=1.;
3c625a9b 1183 fCcy*=0.; fCcz*=0.; fCce*=0.; fCct*=0.; fCcc*=mult;
46e2d86c 1184}
16d9fbba 1185
7ad19338 1186
1187
1188
1189
16d9fbba 1190void AliTRDtrack::MakeBackupTrack()
1191{
1192 //
1193 //
1194 if (fBackupTrack) delete fBackupTrack;
1195 fBackupTrack = new AliTRDtrack(*this);
4f1c04d3 1196
1197}
1198
7ad19338 1199Int_t AliTRDtrack::GetProlongation(Double_t xk, Double_t &y, Double_t &z){
4f1c04d3 1200 //
1201 // Find prolongation at given x
1202 // return 0 if not exist
1203
1204 Double_t c1=fC*fX - fE;
c84a5e9e 1205 if (TMath::Abs(c1)>1.) return 0;
4f1c04d3 1206 Double_t r1=TMath::Sqrt(1.- c1*c1);
1207 Double_t c2=fC*xk - fE;
c84a5e9e 1208 if (TMath::Abs(c2)>1.) return 0;
4f1c04d3 1209 Double_t r2=TMath::Sqrt(1.- c2*c2);
1210 y =fY + (xk-fX)*(c1+c2)/(r1+r2);
1211 z =fZ + (xk-fX)*(c1+c2)/(c1*r2 + c2*r1)*fT;
1212
1213 return 1;
1214
16d9fbba 1215}
3fad3d32 1216
1217
1218Int_t AliTRDtrack::PropagateToX(Double_t xr, Double_t step)
1219{
1220 //
1221 // Propagate track to given x position
1222 // works inside of the 20 degree segmentation (local cooordinate frame for TRD , TPC, TOF)
1223 //
1224 // material budget from geo manager
1225 //
1226 Double_t xyz0[3], xyz1[3],y,z;
1227 const Double_t alphac = TMath::Pi()/9.;
1228 const Double_t talphac = TMath::Tan(alphac*0.5);
1229 // critical alpha - cross sector indication
1230 //
1231 Double_t dir = (fX>xr) ? -1.:1.;
1232 // direction +-
1233 for (Double_t x=fX+dir*step;dir*x<dir*xr;x+=dir*step){
1234 //
1235 GetGlobalXYZ(xyz0[0],xyz0[1],xyz0[2]);
1236 GetProlongation(x,y,z);
1237 xyz1[0] = x*TMath::Cos(fAlpha)+y*TMath::Sin(fAlpha);
1238 xyz1[1] = x*TMath::Sin(fAlpha)-y*TMath::Cos(fAlpha);
1239 xyz1[2] = z;
1240 Double_t param[7];
1241 AliKalmanTrack::MeanMaterialBudget(xyz0,xyz1,param);
1242 //
1243 if (param[0]>0&&param[1]>0) PropagateTo(x,param[1],param[0]);
1244 if (fY>fX*talphac){
1245 Rotate(-alphac);
1246 }
1247 if (fY<-fX*talphac){
1248 Rotate(alphac);
1249 }
1250 }
1251 //
1252 PropagateTo(xr);
1253 return 0;
1254}
1255
1256
1257Int_t AliTRDtrack::PropagateToR(Double_t r,Double_t step)
1258{
1259 //
1260 // propagate track to the radial position
1261 // rotation always connected to the last track position
1262 //
1263 Double_t xyz0[3], xyz1[3],y,z;
1264 Double_t radius = TMath::Sqrt(fX*fX+fY*fY);
1265 Double_t dir = (radius>r) ? -1.:1.; // direction +-
1266 //
1267 for (Double_t x=radius+dir*step;dir*x<dir*r;x+=dir*step){
1268 GetGlobalXYZ(xyz0[0],xyz0[1],xyz0[2]);
1269 Double_t alpha = TMath::ATan2(xyz0[1],xyz0[0]);
1270 Rotate(alpha,kTRUE);
1271 GetGlobalXYZ(xyz0[0],xyz0[1],xyz0[2]);
1272 GetProlongation(x,y,z);
1273 xyz1[0] = x*TMath::Cos(alpha)+y*TMath::Sin(alpha);
1274 xyz1[1] = x*TMath::Sin(alpha)-y*TMath::Cos(alpha);
1275 xyz1[2] = z;
1276 Double_t param[7];
1277 AliKalmanTrack::MeanMaterialBudget(xyz0,xyz1,param);
1278 if (param[1]<=0) param[1] =100000000;
1279 PropagateTo(x,param[1],param[0]);
1280 }
1281 GetGlobalXYZ(xyz0[0],xyz0[1],xyz0[2]);
1282 Double_t alpha = TMath::ATan2(xyz0[1],xyz0[0]);
1283 Rotate(alpha,kTRUE);
1284 GetGlobalXYZ(xyz0[0],xyz0[1],xyz0[2]);
1285 GetProlongation(r,y,z);
1286 xyz1[0] = r*TMath::Cos(alpha)+y*TMath::Sin(alpha);
1287 xyz1[1] = r*TMath::Sin(alpha)-y*TMath::Cos(alpha);
1288 xyz1[2] = z;
1289 Double_t param[7];
1290 AliKalmanTrack::MeanMaterialBudget(xyz0,xyz1,param);
1291 //
1292 if (param[1]<=0) param[1] =100000000;
1293 PropagateTo(r,param[1],param[0]);
1294 return 0;
1295}
1296
1297