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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 | ||
c630aafd | 16 | /* |
17 | $Log$ | |
18 | Revision 1.20.2.1 2003/07/14 09:19:33 hristov | |
19 | TOF included in the combined PID (Yu.Belikov) | |
20 | ||
21 | Revision 1.20 2003/05/27 17:46:13 hristov | |
22 | TRD PID included in the ESD schema (T.Kuhr) | |
23 | ||
24 | Revision 1.19 2003/05/22 10:46:46 hristov | |
25 | Using access methods instead of data members | |
26 | ||
27 | Revision 1.18 2003/04/10 10:36:54 hristov | |
28 | Code for unified TPC/TRD tracking (S.Radomski) | |
29 | ||
30 | Revision 1.17 2003/02/19 09:02:28 hristov | |
31 | Track time measurement (S.Radomski) | |
32 | ||
33 | Revision 1.16 2003/02/10 14:06:10 cblume | |
34 | Add tracking without tilted pads as option | |
35 | ||
36 | Revision 1.15 2003/01/27 16:34:49 cblume | |
37 | Update of tracking by Sergei and Chuncheng | |
38 | ||
39 | Revision 1.14 2002/11/07 15:52:09 cblume | |
40 | Update of tracking code for tilted pads | |
41 | ||
42 | Revision 1.13 2002/10/22 15:53:08 alibrary | |
43 | Introducing Riostream.h | |
44 | ||
45 | Revision 1.12 2002/10/14 14:57:44 hristov | |
46 | Merging the VirtualMC branch to the main development branch (HEAD) | |
47 | ||
48 | Revision 1.8.10.2 2002/07/24 10:09:31 alibrary | |
49 | Updating VirtualMC | |
50 | ||
51 | RRevision 1.11 2002/06/13 12:09:58 hristov | |
52 | Minor corrections | |
53 | ||
54 | Revision 1.10 2002/06/12 09:54:35 cblume | |
55 | Update of tracking code provided by Sergei | |
56 | ||
57 | Revision 1.8 2001/05/30 12:17:47 hristov | |
58 | Loop variables declared once | |
59 | ||
60 | Revision 1.7 2001/05/28 17:07:58 hristov | |
61 | Last minute changes; ExB correction in AliTRDclusterizerV1; taking into account of material in G10 TEC frames and material between TEC planes (C.Blume,S.Sedykh) | |
62 | ||
63 | Revision 1.4 2000/12/08 16:07:02 cblume | |
64 | Update of the tracking by Sergei | |
65 | ||
66 | Revision 1.3 2000/10/15 23:40:01 cblume | |
67 | Remove AliTRDconst | |
68 | ||
69 | Revision 1.2 2000/10/06 16:49:46 cblume | |
70 | Made Getters const | |
71 | ||
72 | Revision 1.1.2.1 2000/09/22 14:47:52 cblume | |
73 | Add the tracking code | |
74 | ||
75 | */ | |
46d29e70 | 76 | |
a2cb5b3d | 77 | #include <Riostream.h> |
5443e65e | 78 | #include <TObject.h> |
46d29e70 | 79 | |
46d29e70 | 80 | #include "AliTRDgeometry.h" |
81 | #include "AliTRDcluster.h" | |
82 | #include "AliTRDtrack.h" | |
5443e65e | 83 | #include "../TPC/AliTPCtrack.h" |
79e94bf8 | 84 | #include "AliESDtrack.h" |
46d29e70 | 85 | |
b3a5a838 | 86 | |
46d29e70 | 87 | ClassImp(AliTRDtrack) |
88 | ||
89 | ||
90 | //_____________________________________________________________________________ | |
91 | ||
a819a5f7 | 92 | AliTRDtrack::AliTRDtrack(const AliTRDcluster *c, UInt_t index, |
5443e65e | 93 | const Double_t xx[5], const Double_t cc[15], |
94 | Double_t xref, Double_t alpha) : AliKalmanTrack() { | |
46d29e70 | 95 | //----------------------------------------------------------------- |
96 | // This is the main track constructor. | |
97 | //----------------------------------------------------------------- | |
5443e65e | 98 | |
99 | fSeedLab = -1; | |
46d29e70 | 100 | |
101 | fAlpha=alpha; | |
5443e65e | 102 | if (fAlpha<-TMath::Pi()) fAlpha += 2*TMath::Pi(); |
103 | if (fAlpha>=TMath::Pi()) fAlpha -= 2*TMath::Pi(); | |
104 | ||
46d29e70 | 105 | fX=xref; |
106 | ||
b3a5a838 | 107 | fY=xx[0]; fZ=xx[1]; fE=xx[2]; fT=xx[3]; fC=xx[4]; |
46d29e70 | 108 | |
109 | fCyy=cc[0]; | |
110 | fCzy=cc[1]; fCzz=cc[2]; | |
b3a5a838 | 111 | fCey=cc[3]; fCez=cc[4]; fCee=cc[5]; |
112 | fCty=cc[6]; fCtz=cc[7]; fCte=cc[8]; fCtt=cc[9]; | |
b8dc2353 | 113 | fCcy=cc[10]; fCcz=cc[11]; fCce=cc[12]; fCct=cc[13]; fCcc=cc[14]; |
114 | ||
5443e65e | 115 | fIndex[0]=index; |
116 | SetNumberOfClusters(1); | |
117 | ||
118 | fdEdx=0.; | |
a2b90f83 | 119 | |
b3a5a838 | 120 | fLhElectron = 0.0; |
9c9d2487 | 121 | fNWrong = 0; |
122 | fNRotate = 0; | |
b3a5a838 | 123 | |
5443e65e | 124 | Double_t q = TMath::Abs(c->GetQ()); |
a819a5f7 | 125 | Double_t s = fX*fC - fE, t=fT; |
5443e65e | 126 | if(s*s < 1) q *= TMath::Sqrt((1-s*s)/(1+t*t)); |
127 | ||
128 | fdQdl[0] = q; | |
0d5b5c27 | 129 | |
130 | // initialisation [SR, GSI 18.02.2003] (i startd for 1) | |
131 | for(Int_t i=1; i<kMAX_CLUSTERS_PER_TRACK; i++) { | |
132 | fdQdl[i] = 0; | |
133 | fIndex[i] = 0; | |
134 | } | |
46d29e70 | 135 | } |
136 | ||
137 | //_____________________________________________________________________________ | |
5443e65e | 138 | AliTRDtrack::AliTRDtrack(const AliTRDtrack& t) : AliKalmanTrack(t) { |
46d29e70 | 139 | // |
140 | // Copy constructor. | |
141 | // | |
b8dc2353 | 142 | |
5443e65e | 143 | SetLabel(t.GetLabel()); |
144 | fSeedLab=t.GetSeedLabel(); | |
46d29e70 | 145 | |
5443e65e | 146 | SetChi2(t.GetChi2()); |
46d29e70 | 147 | fdEdx=t.fdEdx; |
148 | ||
b3a5a838 | 149 | fLhElectron = 0.0; |
9c9d2487 | 150 | fNWrong = t.fNWrong; |
151 | fNRotate = t.fNRotate; | |
b3a5a838 | 152 | |
46d29e70 | 153 | fAlpha=t.fAlpha; |
154 | fX=t.fX; | |
155 | ||
b8dc2353 | 156 | fY=t.fY; fZ=t.fZ; fE=t.fE; fT=t.fT; fC=t.fC; |
46d29e70 | 157 | |
158 | fCyy=t.fCyy; | |
159 | fCzy=t.fCzy; fCzz=t.fCzz; | |
b3a5a838 | 160 | fCey=t.fCey; fCez=t.fCez; fCee=t.fCee; |
161 | fCty=t.fCty; fCtz=t.fCtz; fCte=t.fCte; fCtt=t.fCtt; | |
b8dc2353 | 162 | fCcy=t.fCcy; fCcz=t.fCcz; fCce=t.fCce; fCct=t.fCct; fCcc=t.fCcc; |
46d29e70 | 163 | |
5443e65e | 164 | Int_t n=t.GetNumberOfClusters(); |
165 | SetNumberOfClusters(n); | |
166 | for (Int_t i=0; i<n; i++) { | |
a819a5f7 | 167 | fIndex[i]=t.fIndex[i]; |
168 | fdQdl[i]=t.fdQdl[i]; | |
169 | } | |
b8dc2353 | 170 | |
0d5b5c27 | 171 | // initialisation (i starts from n) [SR, GSI, 18.02.2003] |
172 | for(Int_t i=n; i<kMAX_CLUSTERS_PER_TRACK; i++) { | |
173 | fdQdl[i] = 0; | |
174 | fIndex[i] = 0; | |
175 | } | |
5443e65e | 176 | } |
177 | ||
178 | //_____________________________________________________________________________ | |
b3a5a838 | 179 | AliTRDtrack::AliTRDtrack(const AliKalmanTrack& t, Double_t alpha) |
180 | :AliKalmanTrack(t) { | |
5443e65e | 181 | // |
182 | // Constructor from AliTPCtrack or AliITStrack . | |
183 | // | |
184 | ||
185 | SetLabel(t.GetLabel()); | |
186 | SetChi2(0.); | |
b8dc2353 | 187 | SetMass(t.GetMass()); |
5443e65e | 188 | SetNumberOfClusters(0); |
189 | ||
190 | fdEdx=0; | |
191 | ||
b3a5a838 | 192 | fLhElectron = 0.0; |
9c9d2487 | 193 | fNWrong = 0; |
194 | fNRotate = 0; | |
b3a5a838 | 195 | |
5443e65e | 196 | fAlpha = alpha; |
197 | if (fAlpha < -TMath::Pi()) fAlpha += 2*TMath::Pi(); | |
198 | else if (fAlpha >= TMath::Pi()) fAlpha -= 2*TMath::Pi(); | |
199 | ||
200 | Double_t x, p[5]; t.GetExternalParameters(x,p); | |
201 | ||
202 | fX=x; | |
203 | ||
204 | x = GetConvConst(); | |
205 | ||
b8dc2353 | 206 | fY=p[0]; |
207 | fZ=p[1]; | |
b3a5a838 | 208 | fT=p[3]; |
209 | fC=p[4]/x; | |
b8dc2353 | 210 | fE=fC*fX - p[2]; |
5443e65e | 211 | |
212 | //Conversion of the covariance matrix | |
213 | Double_t c[15]; t.GetExternalCovariance(c); | |
79e94bf8 | 214 | |
215 | c[10]/=x; c[11]/=x; c[12]/=x; c[13]/=x; c[14]/=x*x; | |
216 | ||
217 | Double_t c22=fX*fX*c[14] - 2*fX*c[12] + c[5]; | |
218 | Double_t c32=fX*c[13] - c[8]; | |
219 | Double_t c20=fX*c[10] - c[3], c21=fX*c[11] - c[4], c42=fX*c[14] - c[12]; | |
220 | ||
221 | fCyy=c[0 ]; | |
222 | fCzy=c[1 ]; fCzz=c[2 ]; | |
223 | fCey=c20; fCez=c21; fCee=c22; | |
224 | fCty=c[6 ]; fCtz=c[7 ]; fCte=c32; fCtt=c[9 ]; | |
225 | fCcy=c[10]; fCcz=c[11]; fCce=c42; fCct=c[13]; fCcc=c[14]; | |
226 | ||
227 | // Initialization [SR, GSI, 18.02.2003] | |
228 | for(Int_t i=0; i<kMAX_CLUSTERS_PER_TRACK; i++) { | |
229 | fdQdl[i] = 0; | |
230 | fIndex[i] = 0; | |
231 | } | |
232 | } | |
233 | //_____________________________________________________________________________ | |
234 | AliTRDtrack::AliTRDtrack(const AliESDtrack& t) | |
235 | :AliKalmanTrack() { | |
236 | // | |
237 | // Constructor from AliESDtrack | |
238 | // | |
239 | ||
240 | SetLabel(t.GetLabel()); | |
241 | SetChi2(0.); | |
242 | SetMass(t.GetMass()); | |
243 | SetNumberOfClusters(0); | |
244 | // WARNING: cluster indices are NOT copied !!! | |
245 | ||
246 | fdEdx=0; | |
247 | ||
248 | fLhElectron = 0.0; | |
249 | fNWrong = 0; | |
250 | fNRotate = 0; | |
251 | ||
252 | fAlpha = t.GetAlpha(); | |
253 | if (fAlpha < -TMath::Pi()) fAlpha += 2*TMath::Pi(); | |
254 | else if (fAlpha >= TMath::Pi()) fAlpha -= 2*TMath::Pi(); | |
255 | ||
256 | Double_t x, p[5]; t.GetExternalParameters(x,p); | |
257 | ||
258 | fX=x; | |
259 | ||
260 | x = GetConvConst(); | |
261 | ||
262 | fY=p[0]; | |
263 | fZ=p[1]; | |
264 | fT=p[3]; | |
265 | fC=p[4]/x; | |
266 | fE=fC*fX - p[2]; | |
267 | ||
268 | //Conversion of the covariance matrix | |
269 | Double_t c[15]; t.GetExternalCovariance(c); | |
5443e65e | 270 | |
271 | c[10]/=x; c[11]/=x; c[12]/=x; c[13]/=x; c[14]/=x*x; | |
272 | ||
273 | Double_t c22=fX*fX*c[14] - 2*fX*c[12] + c[5]; | |
274 | Double_t c32=fX*c[13] - c[8]; | |
275 | Double_t c20=fX*c[10] - c[3], c21=fX*c[11] - c[4], c42=fX*c[14] - c[12]; | |
276 | ||
b8dc2353 | 277 | fCyy=c[0 ]; |
278 | fCzy=c[1 ]; fCzz=c[2 ]; | |
279 | fCey=c20; fCez=c21; fCee=c22; | |
280 | fCty=c[6 ]; fCtz=c[7 ]; fCte=c32; fCtt=c[9 ]; | |
281 | fCcy=c[10]; fCcz=c[11]; fCce=c42; fCct=c[13]; fCcc=c[14]; | |
5443e65e | 282 | |
0d5b5c27 | 283 | // Initialization [SR, GSI, 18.02.2003] |
284 | for(Int_t i=0; i<kMAX_CLUSTERS_PER_TRACK; i++) { | |
285 | fdQdl[i] = 0; | |
286 | fIndex[i] = 0; | |
287 | } | |
c630aafd | 288 | |
289 | if ((t.GetStatus()&AliESDtrack::kTIME) == 0) return; | |
290 | StartTimeIntegral(); | |
291 | Double_t times[10]; t.GetIntegratedTimes(times); SetIntegratedTimes(times); | |
292 | SetIntegratedLength(t.GetIntegratedLength()); | |
293 | ||
5443e65e | 294 | } |
9c9d2487 | 295 | //_____________________________________________________________________________ |
296 | ||
297 | void AliTRDtrack::GetBarrelTrack(AliBarrelTrack *track) { | |
298 | // | |
299 | // | |
300 | // | |
301 | ||
302 | if (!track) return; | |
303 | Double_t xr, vec[5], cov[15]; | |
304 | ||
305 | track->SetLabel(GetLabel()); | |
306 | track->SetX(fX, fAlpha); | |
307 | track->SetNClusters(GetNumberOfClusters(), GetChi2()); | |
308 | track->SetNWrongClusters(fNWrong); | |
309 | track->SetNRotate(fNRotate); | |
2b5dc063 | 310 | Double_t times[10]; |
311 | GetIntegratedTimes(times); | |
312 | track->SetTime(times, GetIntegratedLength()); | |
9c9d2487 | 313 | |
2b5dc063 | 314 | track->SetMass(GetMass()); |
315 | track->SetdEdX(GetdEdx()); | |
5443e65e | 316 | |
9c9d2487 | 317 | GetExternalParameters(xr, vec); |
318 | track->SetStateVector(vec); | |
319 | ||
320 | GetExternalCovariance(cov); | |
321 | track->SetCovarianceMatrix(cov); | |
322 | } | |
5443e65e | 323 | //____________________________________________________________________________ |
324 | void AliTRDtrack::GetExternalParameters(Double_t& xr, Double_t x[5]) const { | |
325 | // | |
326 | // This function returns external TRD track representation | |
327 | // | |
328 | xr=fX; | |
329 | x[0]=GetY(); | |
330 | x[1]=GetZ(); | |
331 | x[2]=GetSnp(); | |
332 | x[3]=GetTgl(); | |
b8dc2353 | 333 | x[4]=Get1Pt(); |
5443e65e | 334 | } |
335 | ||
336 | //_____________________________________________________________________________ | |
337 | void AliTRDtrack::GetExternalCovariance(Double_t cc[15]) const { | |
338 | // | |
339 | // This function returns external representation of the covriance matrix. | |
340 | // | |
341 | Double_t a=GetConvConst(); | |
342 | ||
b3a5a838 | 343 | Double_t c22=fX*fX*fCcc-2*fX*fCce+fCee; |
344 | Double_t c32=fX*fCct-fCte; | |
345 | Double_t c20=fX*fCcy-fCey, c21=fX*fCcz-fCez, c42=fX*fCcc-fCce; | |
5443e65e | 346 | |
347 | cc[0 ]=fCyy; | |
348 | cc[1 ]=fCzy; cc[2 ]=fCzz; | |
349 | cc[3 ]=c20; cc[4 ]=c21; cc[5 ]=c22; | |
350 | cc[6 ]=fCty; cc[7 ]=fCtz; cc[8 ]=c32; cc[9 ]=fCtt; | |
b8dc2353 | 351 | cc[10]=fCcy*a; cc[11]=fCcz*a; cc[12]=c42*a; cc[13]=fCct*a; cc[14]=fCcc*a*a; |
352 | ||
5443e65e | 353 | } |
354 | ||
46d29e70 | 355 | |
356 | //_____________________________________________________________________________ | |
357 | void AliTRDtrack::GetCovariance(Double_t cc[15]) const { | |
b8dc2353 | 358 | |
46d29e70 | 359 | cc[0]=fCyy; |
360 | cc[1]=fCzy; cc[2]=fCzz; | |
b3a5a838 | 361 | cc[3]=fCey; cc[4]=fCez; cc[5]=fCee; |
362 | cc[6]=fCcy; cc[7]=fCcz; cc[8]=fCce; cc[9]=fCcc; | |
363 | cc[10]=fCty; cc[11]=fCtz; cc[12]=fCte; cc[13]=fCct; cc[14]=fCtt; | |
b8dc2353 | 364 | |
46d29e70 | 365 | } |
366 | ||
367 | //_____________________________________________________________________________ | |
2a941f4e | 368 | Int_t AliTRDtrack::Compare(const TObject *o) const { |
46d29e70 | 369 | |
5443e65e | 370 | // Compares tracks according to their Y2 or curvature |
46d29e70 | 371 | |
372 | AliTRDtrack *t=(AliTRDtrack*)o; | |
373 | // Double_t co=t->GetSigmaY2(); | |
374 | // Double_t c =GetSigmaY2(); | |
375 | ||
376 | Double_t co=TMath::Abs(t->GetC()); | |
377 | Double_t c =TMath::Abs(GetC()); | |
378 | ||
379 | if (c>co) return 1; | |
380 | else if (c<co) return -1; | |
381 | return 0; | |
382 | } | |
383 | ||
a819a5f7 | 384 | //_____________________________________________________________________________ |
385 | void AliTRDtrack::CookdEdx(Double_t low, Double_t up) { | |
386 | //----------------------------------------------------------------- | |
387 | // Calculates dE/dX within the "low" and "up" cuts. | |
388 | //----------------------------------------------------------------- | |
5443e65e | 389 | |
a819a5f7 | 390 | Int_t i; |
5443e65e | 391 | Int_t nc=GetNumberOfClusters(); |
a819a5f7 | 392 | |
5443e65e | 393 | Float_t sorted[kMAX_CLUSTERS_PER_TRACK]; |
394 | for (i=0; i < nc; i++) { | |
395 | sorted[i]=fdQdl[i]; | |
396 | } | |
a819a5f7 | 397 | |
398 | Int_t swap; | |
5443e65e | 399 | |
a819a5f7 | 400 | do { |
401 | swap=0; | |
402 | for (i=0; i<nc-1; i++) { | |
403 | if (sorted[i]<=sorted[i+1]) continue; | |
404 | Float_t tmp=sorted[i]; | |
405 | sorted[i]=sorted[i+1]; sorted[i+1]=tmp; | |
406 | swap++; | |
407 | } | |
408 | } while (swap); | |
409 | ||
410 | Int_t nl=Int_t(low*nc), nu=Int_t(up*nc); | |
411 | Float_t dedx=0; | |
412 | for (i=nl; i<=nu; i++) dedx += sorted[i]; | |
413 | dedx /= (nu-nl+1); | |
5443e65e | 414 | |
a819a5f7 | 415 | SetdEdx(dedx); |
416 | } | |
417 | ||
418 | ||
46d29e70 | 419 | //_____________________________________________________________________________ |
b3a5a838 | 420 | Int_t AliTRDtrack::PropagateTo(Double_t xk,Double_t x0,Double_t rho) |
46d29e70 | 421 | { |
422 | // Propagates a track of particle with mass=pm to a reference plane | |
423 | // defined by x=xk through media of density=rho and radiationLength=x0 | |
424 | ||
9c9d2487 | 425 | if (xk == fX) return 1; |
426 | ||
46d29e70 | 427 | if (TMath::Abs(fC*xk - fE) >= 0.99999) { |
b8dc2353 | 428 | Int_t n=GetNumberOfClusters(); |
9c9d2487 | 429 | if (n>4) cerr << n << " AliTRDtrack: Propagation failed, \tPt = " |
430 | << GetPt() << "\t" << GetLabel() << "\t" << GetMass() << endl; | |
46d29e70 | 431 | return 0; |
432 | } | |
433 | ||
0d5b5c27 | 434 | // track Length measurement [SR, GSI, 17.02.2003] |
435 | Double_t oldX = fX, oldY = fY, oldZ = fZ; | |
436 | ||
46d29e70 | 437 | Double_t x1=fX, x2=x1+(xk-x1), dx=x2-x1, y1=fY, z1=fZ; |
5443e65e | 438 | Double_t c1=fC*x1 - fE; |
439 | if((c1*c1) > 1) return 0; | |
440 | Double_t r1=sqrt(1.- c1*c1); | |
b8dc2353 | 441 | Double_t c2=fC*x2 - fE; |
5443e65e | 442 | if((c2*c2) > 1) return 0; |
443 | Double_t r2=sqrt(1.- c2*c2); | |
46d29e70 | 444 | |
445 | fY += dx*(c1+c2)/(r1+r2); | |
446 | fZ += dx*(c1+c2)/(c1*r2 + c2*r1)*fT; | |
447 | ||
448 | //f = F - 1 | |
449 | Double_t rr=r1+r2, cc=c1+c2, xx=x1+x2; | |
b3a5a838 | 450 | Double_t f02=-dx*(2*rr + cc*(c1/r1 + c2/r2))/(rr*rr); |
451 | Double_t f04= dx*(rr*xx + cc*(c1*x1/r1+c2*x2/r2))/(rr*rr); | |
46d29e70 | 452 | Double_t cr=c1*r2+c2*r1; |
b3a5a838 | 453 | Double_t f12=-dx*fT*(2*cr + cc*(c2*c1/r1-r1 + c1*c2/r2-r2))/(cr*cr); |
454 | Double_t f13= dx*cc/cr; | |
b8dc2353 | 455 | Double_t f14=dx*fT*(cr*xx-cc*(r1*x2-c2*c1*x1/r1+r2*x1-c1*c2*x2/r2))/(cr*cr); |
46d29e70 | 456 | |
457 | //b = C*ft | |
b3a5a838 | 458 | Double_t b00=f02*fCey + f04*fCcy, b01=f12*fCey + f14*fCcy + f13*fCty; |
459 | Double_t b10=f02*fCez + f04*fCcz, b11=f12*fCez + f14*fCcz + f13*fCtz; | |
460 | Double_t b20=f02*fCee + f04*fCce, b21=f12*fCee + f14*fCce + f13*fCte; | |
461 | Double_t b30=f02*fCte + f04*fCct, b31=f12*fCte + f14*fCct + f13*fCtt; | |
462 | Double_t b40=f02*fCce + f04*fCcc, b41=f12*fCce + f14*fCcc + f13*fCct; | |
46d29e70 | 463 | |
464 | //a = f*b = f*C*ft | |
b3a5a838 | 465 | Double_t a00=f02*b20+f04*b40,a01=f02*b21+f04*b41,a11=f12*b21+f14*b41+f13*b31; |
46d29e70 | 466 | |
467 | //F*C*Ft = C + (a + b + bt) | |
468 | fCyy += a00 + 2*b00; | |
469 | fCzy += a01 + b01 + b10; | |
b3a5a838 | 470 | fCey += b20; |
471 | fCty += b30; | |
472 | fCcy += b40; | |
46d29e70 | 473 | fCzz += a11 + 2*b11; |
b3a5a838 | 474 | fCez += b21; |
475 | fCtz += b31; | |
b8dc2353 | 476 | fCcz += b41; |
46d29e70 | 477 | |
b8dc2353 | 478 | fX=x2; |
46d29e70 | 479 | |
480 | //Multiple scattering ****************** | |
46d29e70 | 481 | Double_t d=sqrt((x1-fX)*(x1-fX)+(y1-fY)*(y1-fY)+(z1-fZ)*(z1-fZ)); |
b8dc2353 | 482 | Double_t p2=(1.+ GetTgl()*GetTgl())/(Get1Pt()*Get1Pt()); |
b3a5a838 | 483 | Double_t beta2=p2/(p2 + GetMass()*GetMass()); |
b8dc2353 | 484 | Double_t theta2=14.1*14.1/(beta2*p2*1e6)*d/x0*rho; |
46d29e70 | 485 | |
486 | Double_t ey=fC*fX - fE, ez=fT; | |
487 | Double_t xz=fC*ez, zz1=ez*ez+1, xy=fE+ey; | |
488 | ||
46d29e70 | 489 | fCee += (2*ey*ez*ez*fE+1-ey*ey+ez*ez+fE*fE*ez*ez)*theta2; |
490 | fCte += ez*zz1*xy*theta2; | |
491 | fCtt += zz1*zz1*theta2; | |
b3a5a838 | 492 | fCce += xz*ez*xy*theta2; |
493 | fCct += xz*zz1*theta2; | |
494 | fCcc += xz*xz*theta2; | |
46d29e70 | 495 | |
46d29e70 | 496 | //Energy losses************************ |
b8dc2353 | 497 | if((5940*beta2/(1-beta2+1e-10) - beta2) < 0) return 0; |
5443e65e | 498 | |
b8dc2353 | 499 | Double_t dE=0.153e-3/beta2*(log(5940*beta2/(1-beta2+1e-10)) - beta2)*d*rho; |
500 | if (x1 < x2) dE=-dE; | |
501 | cc=fC; | |
b3a5a838 | 502 | fC*=(1.- sqrt(p2+GetMass()*GetMass())/p2*dE); |
b8dc2353 | 503 | fE+=fX*(fC-cc); |
46d29e70 | 504 | |
0d5b5c27 | 505 | // track time measurement [SR, GSI 17.02.2002] |
506 | if (IsStartedTimeIntegral()) { | |
507 | Double_t l2 = (fX-oldX)*(fX-oldX) + (fY-oldY)*(fY-oldY) + (fZ-oldZ)*(fZ-oldZ); | |
508 | AddTimeStep(TMath::Sqrt(l2)); | |
509 | } | |
510 | ||
b8dc2353 | 511 | return 1; |
46d29e70 | 512 | } |
513 | ||
fd621f36 | 514 | |
46d29e70 | 515 | //_____________________________________________________________________________ |
fd621f36 | 516 | Int_t AliTRDtrack::Update(const AliTRDcluster *c, Double_t chisq, UInt_t index, Double_t h01) |
46d29e70 | 517 | { |
518 | // Assignes found cluster to the track and updates track information | |
519 | ||
b8dc2353 | 520 | Bool_t fNoTilt = kTRUE; |
521 | if(TMath::Abs(h01) > 0.003) fNoTilt = kFALSE; | |
fd621f36 | 522 | |
b8dc2353 | 523 | Double_t r00=c->GetSigmaY2(), r01=0., r11=c->GetSigmaZ2(); |
524 | r00+=fCyy; r01+=fCzy; r11+=fCzz; | |
46d29e70 | 525 | Double_t det=r00*r11 - r01*r01; |
526 | Double_t tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det; | |
527 | ||
b8dc2353 | 528 | Double_t k00=fCyy*r00+fCzy*r01, k01=fCyy*r01+fCzy*r11; |
529 | Double_t k10=fCzy*r00+fCzz*r01, k11=fCzy*r01+fCzz*r11; | |
530 | Double_t k20=fCey*r00+fCez*r01, k21=fCey*r01+fCez*r11; | |
531 | Double_t k30=fCty*r00+fCtz*r01, k31=fCty*r01+fCtz*r11; | |
532 | Double_t k40=fCcy*r00+fCcz*r01, k41=fCcy*r01+fCcz*r11; | |
46d29e70 | 533 | |
534 | Double_t dy=c->GetY() - fY, dz=c->GetZ() - fZ; | |
b3a5a838 | 535 | Double_t cur=fC + k40*dy + k41*dz, eta=fE + k20*dy + k21*dz; |
fd621f36 | 536 | |
b3a5a838 | 537 | Double_t c01=fCzy, c02=fCey, c03=fCty, c04=fCcy; |
538 | Double_t c12=fCez, c13=fCtz, c14=fCcz; | |
46d29e70 | 539 | |
b8dc2353 | 540 | if(fNoTilt) { |
541 | if (TMath::Abs(cur*fX-eta) >= 0.99999) { | |
542 | Int_t n=GetNumberOfClusters(); | |
543 | if (n>4) cerr<<n<<" AliTRDtrack warning: Filtering failed !\n"; | |
544 | return 0; | |
545 | } | |
546 | fY += k00*dy + k01*dz; | |
547 | fZ += k10*dy + k11*dz; | |
548 | fE = eta; | |
9c9d2487 | 549 | //fT += k30*dy + k31*dz; |
b8dc2353 | 550 | fC = cur; |
551 | } | |
552 | else { | |
553 | Double_t xu_factor = 100.; // empirical factor set by C.Xu | |
554 | // in the first tilt version | |
555 | r00=c->GetSigmaY2(), r01=0., r11=c->GetSigmaZ2()*xu_factor; | |
556 | r00+=(fCyy+2.0*h01*fCzy+h01*h01*fCzz); | |
557 | r01+=(fCzy+h01*fCzz); | |
558 | det=r00*r11 - r01*r01; | |
559 | tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det; | |
560 | ||
561 | k00=fCyy*r00+fCzy*(r01+h01*r00),k01=fCyy*r01+fCzy*(r11+h01*r01); | |
562 | k10=fCzy*r00+fCzz*(r01+h01*r00),k11=fCzy*r01+fCzz*(r11+h01*r01); | |
563 | k20=fCey*r00+fCez*(r01+h01*r00),k21=fCey*r01+fCez*(r11+h01*r01); | |
564 | k30=fCty*r00+fCtz*(r01+h01*r00),k31=fCty*r01+fCtz*(r11+h01*r01); | |
565 | k40=fCcy*r00+fCcz*(r01+h01*r00),k41=fCcy*r01+fCcz*(r11+h01*r01); | |
566 | ||
567 | dy=c->GetY() - fY; dz=c->GetZ() - fZ; | |
568 | dy=dy+h01*dz; | |
569 | ||
570 | cur=fC + k40*dy + k41*dz; eta=fE + k20*dy + k21*dz; | |
571 | if (TMath::Abs(cur*fX-eta) >= 0.99999) { | |
572 | Int_t n=GetNumberOfClusters(); | |
573 | if (n>4) cerr<<n<<" AliTRDtrack warning: Filtering failed !\n"; | |
574 | return 0; | |
575 | } | |
576 | fY += k00*dy + k01*dz; | |
577 | fZ += k10*dy + k11*dz; | |
578 | fE = eta; | |
9c9d2487 | 579 | //fT += k30*dy + k31*dz; |
b8dc2353 | 580 | fC = cur; |
581 | ||
582 | k01+=h01*k00; | |
583 | k11+=h01*k10; | |
584 | k21+=h01*k20; | |
585 | k31+=h01*k30; | |
586 | k41+=h01*k40; | |
587 | } | |
588 | ||
46d29e70 | 589 | fCyy-=k00*fCyy+k01*fCzy; fCzy-=k00*c01+k01*fCzz; |
b3a5a838 | 590 | fCey-=k00*c02+k01*c12; fCty-=k00*c03+k01*c13; |
591 | fCcy-=k00*c04+k01*c14; | |
b8dc2353 | 592 | |
46d29e70 | 593 | fCzz-=k10*c01+k11*fCzz; |
b3a5a838 | 594 | fCez-=k10*c02+k11*c12; fCtz-=k10*c03+k11*c13; |
595 | fCcz-=k10*c04+k11*c14; | |
b8dc2353 | 596 | |
b3a5a838 | 597 | fCee-=k20*c02+k21*c12; fCte-=k20*c03+k21*c13; |
598 | fCce-=k20*c04+k21*c14; | |
b8dc2353 | 599 | |
b3a5a838 | 600 | fCtt-=k30*c03+k31*c13; |
b8dc2353 | 601 | fCct-=k40*c03+k41*c13; |
602 | ||
603 | fCcc-=k40*c04+k41*c14; | |
46d29e70 | 604 | |
b8dc2353 | 605 | Int_t n=GetNumberOfClusters(); |
5443e65e | 606 | fIndex[n]=index; |
b8dc2353 | 607 | SetNumberOfClusters(n+1); |
fd621f36 | 608 | |
b8dc2353 | 609 | SetChi2(GetChi2()+chisq); |
46d29e70 | 610 | // cerr<<"in update: fIndex["<<fN<<"] = "<<index<<endl; |
5443e65e | 611 | |
b8dc2353 | 612 | return 1; |
46d29e70 | 613 | } |
614 | ||
fd621f36 | 615 | |
46d29e70 | 616 | //_____________________________________________________________________________ |
617 | Int_t AliTRDtrack::Rotate(Double_t alpha) | |
618 | { | |
619 | // Rotates track parameters in R*phi plane | |
9c9d2487 | 620 | |
621 | fNRotate++; | |
46d29e70 | 622 | |
623 | fAlpha += alpha; | |
b3a5a838 | 624 | if (fAlpha<-TMath::Pi()) fAlpha += 2*TMath::Pi(); |
b8dc2353 | 625 | if (fAlpha>=TMath::Pi()) fAlpha -= 2*TMath::Pi(); |
46d29e70 | 626 | |
627 | Double_t x1=fX, y1=fY; | |
628 | Double_t ca=cos(alpha), sa=sin(alpha); | |
629 | Double_t r1=fC*fX - fE; | |
630 | ||
631 | fX = x1*ca + y1*sa; | |
b8dc2353 | 632 | fY =-x1*sa + y1*ca; |
633 | if((r1*r1) > 1) return 0; | |
46d29e70 | 634 | fE=fE*ca + (fC*y1 + sqrt(1.- r1*r1))*sa; |
635 | ||
636 | Double_t r2=fC*fX - fE; | |
637 | if (TMath::Abs(r2) >= 0.99999) { | |
b8dc2353 | 638 | Int_t n=GetNumberOfClusters(); |
5443e65e | 639 | if (n>4) cerr<<n<<" AliTRDtrack warning: Rotation failed !\n"; |
46d29e70 | 640 | return 0; |
641 | } | |
642 | ||
b8dc2353 | 643 | if((r2*r2) > 1) return 0; |
46d29e70 | 644 | Double_t y0=fY + sqrt(1.- r2*r2)/fC; |
645 | if ((fY-y0)*fC >= 0.) { | |
b8dc2353 | 646 | Int_t n=GetNumberOfClusters(); |
5443e65e | 647 | if (n>4) cerr<<n<<" AliTRDtrack warning: Rotation failed !!!\n"; |
46d29e70 | 648 | return 0; |
649 | } | |
650 | ||
651 | //f = F - 1 | |
b3a5a838 | 652 | Double_t f00=ca-1, f24=(y1 - r1*x1/sqrt(1.- r1*r1))*sa, |
b8dc2353 | 653 | f20=fC*sa, f22=(ca + sa*r1/sqrt(1.- r1*r1))-1; |
46d29e70 | 654 | |
655 | //b = C*ft | |
b3a5a838 | 656 | Double_t b00=fCyy*f00, b02=fCyy*f20+fCcy*f24+fCey*f22; |
657 | Double_t b10=fCzy*f00, b12=fCzy*f20+fCcz*f24+fCez*f22; | |
658 | Double_t b20=fCey*f00, b22=fCey*f20+fCce*f24+fCee*f22; | |
659 | Double_t b30=fCty*f00, b32=fCty*f20+fCct*f24+fCte*f22; | |
660 | Double_t b40=fCcy*f00, b42=fCcy*f20+fCcc*f24+fCce*f22; | |
46d29e70 | 661 | |
662 | //a = f*b = f*C*ft | |
b3a5a838 | 663 | Double_t a00=f00*b00, a02=f00*b02, a22=f20*b02+f24*b42+f22*b22; |
46d29e70 | 664 | |
46d29e70 | 665 | //F*C*Ft = C + (a + b + bt) |
666 | fCyy += a00 + 2*b00; | |
667 | fCzy += b10; | |
b3a5a838 | 668 | fCey += a02+b20+b02; |
669 | fCty += b30; | |
670 | fCcy += b40; | |
671 | fCez += b12; | |
672 | fCte += b32; | |
673 | fCee += a22 + 2*b22; | |
674 | fCce += b42; | |
46d29e70 | 675 | |
b8dc2353 | 676 | return 1; |
46d29e70 | 677 | } |
678 | ||
679 | ||
46d29e70 | 680 | //_____________________________________________________________________________ |
fd621f36 | 681 | Double_t AliTRDtrack::GetPredictedChi2(const AliTRDcluster *c, Double_t h01) const |
46d29e70 | 682 | { |
fd621f36 | 683 | |
b8dc2353 | 684 | Bool_t fNoTilt = kTRUE; |
685 | if(TMath::Abs(h01) > 0.003) fNoTilt = kFALSE; | |
686 | Double_t chi2, dy, r00, r01, r11; | |
687 | ||
688 | if(fNoTilt) { | |
689 | dy=c->GetY() - fY; | |
690 | r00=c->GetSigmaY2(); | |
691 | chi2 = (dy*dy)/r00; | |
46d29e70 | 692 | } |
b8dc2353 | 693 | else { |
694 | r00=c->GetSigmaY2(); r01=0.; r11=c->GetSigmaZ2(); | |
695 | r00+=fCyy; r01+=fCzy; r11+=fCzz; | |
696 | ||
697 | Double_t det=r00*r11 - r01*r01; | |
698 | if (TMath::Abs(det) < 1.e-10) { | |
699 | Int_t n=GetNumberOfClusters(); | |
700 | if (n>4) cerr<<n<<" AliTRDtrack warning: Singular matrix !\n"; | |
701 | return 1e10; | |
702 | } | |
703 | Double_t tmp=r00; r00=r11; r11=tmp; r01=-r01; | |
704 | Double_t dy=c->GetY() - fY, dz=c->GetZ() - fZ; | |
705 | dy=dy+h01*dz; | |
a819a5f7 | 706 | |
b8dc2353 | 707 | chi2 = (dy*r00*dy + 2*r01*dy*dz + dz*r11*dz)/det; |
708 | } | |
709 | return chi2; | |
fd621f36 | 710 | } |
46d29e70 | 711 | |
712 | ||
713 | //_________________________________________________________________________ | |
714 | void AliTRDtrack::GetPxPyPz(Double_t& px, Double_t& py, Double_t& pz) const | |
715 | { | |
716 | // Returns reconstructed track momentum in the global system. | |
717 | ||
718 | Double_t pt=TMath::Abs(GetPt()); // GeV/c | |
719 | Double_t r=fC*fX-fE; | |
5443e65e | 720 | |
721 | Double_t y0; | |
722 | if(r > 1) { py = pt; px = 0; } | |
723 | else if(r < -1) { py = -pt; px = 0; } | |
724 | else { | |
725 | y0=fY + sqrt(1.- r*r)/fC; | |
726 | px=-pt*(fY-y0)*fC; //cos(phi); | |
727 | py=-pt*(fE-fX*fC); //sin(phi); | |
728 | } | |
46d29e70 | 729 | pz=pt*fT; |
730 | Double_t tmp=px*TMath::Cos(fAlpha) - py*TMath::Sin(fAlpha); | |
731 | py=px*TMath::Sin(fAlpha) + py*TMath::Cos(fAlpha); | |
732 | px=tmp; | |
733 | ||
734 | } | |
735 | ||
5443e65e | 736 | //_________________________________________________________________________ |
737 | void AliTRDtrack::GetGlobalXYZ(Double_t& x, Double_t& y, Double_t& z) const | |
46d29e70 | 738 | { |
5443e65e | 739 | // Returns reconstructed track coordinates in the global system. |
740 | ||
741 | x = fX; y = fY; z = fZ; | |
742 | Double_t tmp=x*TMath::Cos(fAlpha) - y*TMath::Sin(fAlpha); | |
743 | y=x*TMath::Sin(fAlpha) + y*TMath::Cos(fAlpha); | |
744 | x=tmp; | |
745 | ||
746 | } | |
3ab6f951 | 747 | |
5443e65e | 748 | //_________________________________________________________________________ |
749 | void AliTRDtrack::ResetCovariance() { | |
750 | // | |
751 | // Resets covariance matrix | |
752 | // | |
46d29e70 | 753 | |
5443e65e | 754 | fCyy*=10.; |
b8dc2353 | 755 | fCzy=0.; fCzz*=10.; |
756 | fCey=0.; fCez=0.; fCee*=10.; | |
757 | fCty=0.; fCtz=0.; fCte=0.; fCtt*=10.; | |
758 | fCcy=0.; fCcz=0.; fCce=0.; fCct=0.; fCcc*=10.; | |
5443e65e | 759 | } |
b8dc2353 | 760 |