]>
Commit | Line | Data |
---|---|---|
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" | |
5443e65e | 24 | #include "../TPC/AliTPCtrack.h" |
79e94bf8 | 25 | #include "AliESDtrack.h" |
46d29e70 | 26 | |
b3a5a838 | 27 | |
46d29e70 | 28 | ClassImp(AliTRDtrack) |
29 | ||
30 | ||
31 | //_____________________________________________________________________________ | |
32 | ||
a819a5f7 | 33 | AliTRDtrack::AliTRDtrack(const AliTRDcluster *c, UInt_t index, |
5443e65e | 34 | const Double_t xx[5], const Double_t cc[15], |
35 | Double_t xref, Double_t alpha) : AliKalmanTrack() { | |
46d29e70 | 36 | //----------------------------------------------------------------- |
37 | // This is the main track constructor. | |
38 | //----------------------------------------------------------------- | |
5443e65e | 39 | |
40 | fSeedLab = -1; | |
46d29e70 | 41 | |
42 | fAlpha=alpha; | |
5443e65e | 43 | if (fAlpha<-TMath::Pi()) fAlpha += 2*TMath::Pi(); |
44 | if (fAlpha>=TMath::Pi()) fAlpha -= 2*TMath::Pi(); | |
45 | ||
46d29e70 | 46 | fX=xref; |
47 | ||
b3a5a838 | 48 | fY=xx[0]; fZ=xx[1]; fE=xx[2]; fT=xx[3]; fC=xx[4]; |
46d29e70 | 49 | |
50 | fCyy=cc[0]; | |
51 | fCzy=cc[1]; fCzz=cc[2]; | |
b3a5a838 | 52 | fCey=cc[3]; fCez=cc[4]; fCee=cc[5]; |
53 | fCty=cc[6]; fCtz=cc[7]; fCte=cc[8]; fCtt=cc[9]; | |
b8dc2353 | 54 | fCcy=cc[10]; fCcz=cc[11]; fCce=cc[12]; fCct=cc[13]; fCcc=cc[14]; |
55 | ||
5443e65e | 56 | fIndex[0]=index; |
57 | SetNumberOfClusters(1); | |
58 | ||
59 | fdEdx=0.; | |
a2b90f83 | 60 | |
b3a5a838 | 61 | fLhElectron = 0.0; |
9c9d2487 | 62 | fNWrong = 0; |
63 | fNRotate = 0; | |
b3a5a838 | 64 | |
5443e65e | 65 | Double_t q = TMath::Abs(c->GetQ()); |
a819a5f7 | 66 | Double_t s = fX*fC - fE, t=fT; |
5443e65e | 67 | if(s*s < 1) q *= TMath::Sqrt((1-s*s)/(1+t*t)); |
68 | ||
69 | fdQdl[0] = q; | |
0d5b5c27 | 70 | |
71 | // initialisation [SR, GSI 18.02.2003] (i startd for 1) | |
73ae7b59 | 72 | for(UInt_t i=1; i<kMAX_CLUSTERS_PER_TRACK; i++) { |
0d5b5c27 | 73 | fdQdl[i] = 0; |
74 | fIndex[i] = 0; | |
75 | } | |
46d29e70 | 76 | } |
77 | ||
78 | //_____________________________________________________________________________ | |
5443e65e | 79 | AliTRDtrack::AliTRDtrack(const AliTRDtrack& t) : AliKalmanTrack(t) { |
46d29e70 | 80 | // |
81 | // Copy constructor. | |
82 | // | |
b8dc2353 | 83 | |
5443e65e | 84 | SetLabel(t.GetLabel()); |
85 | fSeedLab=t.GetSeedLabel(); | |
46d29e70 | 86 | |
5443e65e | 87 | SetChi2(t.GetChi2()); |
46d29e70 | 88 | fdEdx=t.fdEdx; |
89 | ||
b3a5a838 | 90 | fLhElectron = 0.0; |
9c9d2487 | 91 | fNWrong = t.fNWrong; |
92 | fNRotate = t.fNRotate; | |
b3a5a838 | 93 | |
46d29e70 | 94 | fAlpha=t.fAlpha; |
95 | fX=t.fX; | |
96 | ||
b8dc2353 | 97 | fY=t.fY; fZ=t.fZ; fE=t.fE; fT=t.fT; fC=t.fC; |
46d29e70 | 98 | |
99 | fCyy=t.fCyy; | |
100 | fCzy=t.fCzy; fCzz=t.fCzz; | |
b3a5a838 | 101 | fCey=t.fCey; fCez=t.fCez; fCee=t.fCee; |
102 | fCty=t.fCty; fCtz=t.fCtz; fCte=t.fCte; fCtt=t.fCtt; | |
b8dc2353 | 103 | fCcy=t.fCcy; fCcz=t.fCcz; fCce=t.fCce; fCct=t.fCct; fCcc=t.fCcc; |
46d29e70 | 104 | |
5443e65e | 105 | Int_t n=t.GetNumberOfClusters(); |
106 | SetNumberOfClusters(n); | |
107 | for (Int_t i=0; i<n; i++) { | |
a819a5f7 | 108 | fIndex[i]=t.fIndex[i]; |
109 | fdQdl[i]=t.fdQdl[i]; | |
110 | } | |
b8dc2353 | 111 | |
0d5b5c27 | 112 | // initialisation (i starts from n) [SR, GSI, 18.02.2003] |
73ae7b59 | 113 | for(UInt_t i=n; i<kMAX_CLUSTERS_PER_TRACK; i++) { |
0d5b5c27 | 114 | fdQdl[i] = 0; |
115 | fIndex[i] = 0; | |
116 | } | |
5443e65e | 117 | } |
118 | ||
119 | //_____________________________________________________________________________ | |
b3a5a838 | 120 | AliTRDtrack::AliTRDtrack(const AliKalmanTrack& t, Double_t alpha) |
121 | :AliKalmanTrack(t) { | |
5443e65e | 122 | // |
123 | // Constructor from AliTPCtrack or AliITStrack . | |
124 | // | |
125 | ||
126 | SetLabel(t.GetLabel()); | |
127 | SetChi2(0.); | |
b8dc2353 | 128 | SetMass(t.GetMass()); |
5443e65e | 129 | SetNumberOfClusters(0); |
130 | ||
131 | fdEdx=0; | |
132 | ||
b3a5a838 | 133 | fLhElectron = 0.0; |
9c9d2487 | 134 | fNWrong = 0; |
135 | fNRotate = 0; | |
b3a5a838 | 136 | |
5443e65e | 137 | fAlpha = alpha; |
138 | if (fAlpha < -TMath::Pi()) fAlpha += 2*TMath::Pi(); | |
139 | else if (fAlpha >= TMath::Pi()) fAlpha -= 2*TMath::Pi(); | |
140 | ||
141 | Double_t x, p[5]; t.GetExternalParameters(x,p); | |
142 | ||
143 | fX=x; | |
144 | ||
145 | x = GetConvConst(); | |
146 | ||
b8dc2353 | 147 | fY=p[0]; |
148 | fZ=p[1]; | |
b3a5a838 | 149 | fT=p[3]; |
150 | fC=p[4]/x; | |
b8dc2353 | 151 | fE=fC*fX - p[2]; |
5443e65e | 152 | |
153 | //Conversion of the covariance matrix | |
154 | Double_t c[15]; t.GetExternalCovariance(c); | |
79e94bf8 | 155 | |
156 | c[10]/=x; c[11]/=x; c[12]/=x; c[13]/=x; c[14]/=x*x; | |
157 | ||
158 | Double_t c22=fX*fX*c[14] - 2*fX*c[12] + c[5]; | |
159 | Double_t c32=fX*c[13] - c[8]; | |
160 | Double_t c20=fX*c[10] - c[3], c21=fX*c[11] - c[4], c42=fX*c[14] - c[12]; | |
161 | ||
162 | fCyy=c[0 ]; | |
163 | fCzy=c[1 ]; fCzz=c[2 ]; | |
164 | fCey=c20; fCez=c21; fCee=c22; | |
165 | fCty=c[6 ]; fCtz=c[7 ]; fCte=c32; fCtt=c[9 ]; | |
166 | fCcy=c[10]; fCcz=c[11]; fCce=c42; fCct=c[13]; fCcc=c[14]; | |
167 | ||
168 | // Initialization [SR, GSI, 18.02.2003] | |
73ae7b59 | 169 | for(UInt_t i=0; i<kMAX_CLUSTERS_PER_TRACK; i++) { |
79e94bf8 | 170 | fdQdl[i] = 0; |
171 | fIndex[i] = 0; | |
172 | } | |
173 | } | |
174 | //_____________________________________________________________________________ | |
175 | AliTRDtrack::AliTRDtrack(const AliESDtrack& t) | |
176 | :AliKalmanTrack() { | |
177 | // | |
178 | // Constructor from AliESDtrack | |
179 | // | |
180 | ||
181 | SetLabel(t.GetLabel()); | |
182 | SetChi2(0.); | |
183 | SetMass(t.GetMass()); | |
1e9bb598 | 184 | SetNumberOfClusters(t.GetTRDclusters(fIndex)); |
79e94bf8 | 185 | |
186 | fdEdx=0; | |
187 | ||
188 | fLhElectron = 0.0; | |
189 | fNWrong = 0; | |
190 | fNRotate = 0; | |
191 | ||
192 | fAlpha = t.GetAlpha(); | |
193 | if (fAlpha < -TMath::Pi()) fAlpha += 2*TMath::Pi(); | |
194 | else if (fAlpha >= TMath::Pi()) fAlpha -= 2*TMath::Pi(); | |
195 | ||
196 | Double_t x, p[5]; t.GetExternalParameters(x,p); | |
197 | ||
198 | fX=x; | |
199 | ||
200 | x = GetConvConst(); | |
201 | ||
202 | fY=p[0]; | |
203 | fZ=p[1]; | |
204 | fT=p[3]; | |
205 | fC=p[4]/x; | |
206 | fE=fC*fX - p[2]; | |
207 | ||
208 | //Conversion of the covariance matrix | |
209 | Double_t c[15]; t.GetExternalCovariance(c); | |
5443e65e | 210 | |
211 | c[10]/=x; c[11]/=x; c[12]/=x; c[13]/=x; c[14]/=x*x; | |
212 | ||
213 | Double_t c22=fX*fX*c[14] - 2*fX*c[12] + c[5]; | |
214 | Double_t c32=fX*c[13] - c[8]; | |
215 | Double_t c20=fX*c[10] - c[3], c21=fX*c[11] - c[4], c42=fX*c[14] - c[12]; | |
216 | ||
b8dc2353 | 217 | fCyy=c[0 ]; |
218 | fCzy=c[1 ]; fCzz=c[2 ]; | |
219 | fCey=c20; fCez=c21; fCee=c22; | |
220 | fCty=c[6 ]; fCtz=c[7 ]; fCte=c32; fCtt=c[9 ]; | |
221 | fCcy=c[10]; fCcz=c[11]; fCce=c42; fCct=c[13]; fCcc=c[14]; | |
5443e65e | 222 | |
0d5b5c27 | 223 | // Initialization [SR, GSI, 18.02.2003] |
73ae7b59 | 224 | for(UInt_t i=0; i<kMAX_CLUSTERS_PER_TRACK; i++) { |
0d5b5c27 | 225 | fdQdl[i] = 0; |
226 | fIndex[i] = 0; | |
227 | } | |
c630aafd | 228 | |
229 | if ((t.GetStatus()&AliESDtrack::kTIME) == 0) return; | |
230 | StartTimeIntegral(); | |
231 | Double_t times[10]; t.GetIntegratedTimes(times); SetIntegratedTimes(times); | |
232 | SetIntegratedLength(t.GetIntegratedLength()); | |
233 | ||
5443e65e | 234 | } |
9c9d2487 | 235 | //_____________________________________________________________________________ |
236 | ||
237 | void AliTRDtrack::GetBarrelTrack(AliBarrelTrack *track) { | |
238 | // | |
239 | // | |
240 | // | |
241 | ||
242 | if (!track) return; | |
243 | Double_t xr, vec[5], cov[15]; | |
244 | ||
245 | track->SetLabel(GetLabel()); | |
246 | track->SetX(fX, fAlpha); | |
247 | track->SetNClusters(GetNumberOfClusters(), GetChi2()); | |
248 | track->SetNWrongClusters(fNWrong); | |
249 | track->SetNRotate(fNRotate); | |
2b5dc063 | 250 | Double_t times[10]; |
251 | GetIntegratedTimes(times); | |
252 | track->SetTime(times, GetIntegratedLength()); | |
9c9d2487 | 253 | |
2b5dc063 | 254 | track->SetMass(GetMass()); |
255 | track->SetdEdX(GetdEdx()); | |
5443e65e | 256 | |
9c9d2487 | 257 | GetExternalParameters(xr, vec); |
258 | track->SetStateVector(vec); | |
259 | ||
260 | GetExternalCovariance(cov); | |
261 | track->SetCovarianceMatrix(cov); | |
262 | } | |
5443e65e | 263 | //____________________________________________________________________________ |
264 | void AliTRDtrack::GetExternalParameters(Double_t& xr, Double_t x[5]) const { | |
265 | // | |
266 | // This function returns external TRD track representation | |
267 | // | |
268 | xr=fX; | |
269 | x[0]=GetY(); | |
270 | x[1]=GetZ(); | |
271 | x[2]=GetSnp(); | |
272 | x[3]=GetTgl(); | |
b8dc2353 | 273 | x[4]=Get1Pt(); |
5443e65e | 274 | } |
275 | ||
276 | //_____________________________________________________________________________ | |
277 | void AliTRDtrack::GetExternalCovariance(Double_t cc[15]) const { | |
278 | // | |
279 | // This function returns external representation of the covriance matrix. | |
280 | // | |
281 | Double_t a=GetConvConst(); | |
282 | ||
b3a5a838 | 283 | Double_t c22=fX*fX*fCcc-2*fX*fCce+fCee; |
284 | Double_t c32=fX*fCct-fCte; | |
285 | Double_t c20=fX*fCcy-fCey, c21=fX*fCcz-fCez, c42=fX*fCcc-fCce; | |
5443e65e | 286 | |
287 | cc[0 ]=fCyy; | |
288 | cc[1 ]=fCzy; cc[2 ]=fCzz; | |
289 | cc[3 ]=c20; cc[4 ]=c21; cc[5 ]=c22; | |
290 | cc[6 ]=fCty; cc[7 ]=fCtz; cc[8 ]=c32; cc[9 ]=fCtt; | |
b8dc2353 | 291 | cc[10]=fCcy*a; cc[11]=fCcz*a; cc[12]=c42*a; cc[13]=fCct*a; cc[14]=fCcc*a*a; |
292 | ||
5443e65e | 293 | } |
294 | ||
46d29e70 | 295 | |
296 | //_____________________________________________________________________________ | |
297 | void AliTRDtrack::GetCovariance(Double_t cc[15]) const { | |
b8dc2353 | 298 | |
46d29e70 | 299 | cc[0]=fCyy; |
300 | cc[1]=fCzy; cc[2]=fCzz; | |
b3a5a838 | 301 | cc[3]=fCey; cc[4]=fCez; cc[5]=fCee; |
302 | cc[6]=fCcy; cc[7]=fCcz; cc[8]=fCce; cc[9]=fCcc; | |
303 | cc[10]=fCty; cc[11]=fCtz; cc[12]=fCte; cc[13]=fCct; cc[14]=fCtt; | |
b8dc2353 | 304 | |
46d29e70 | 305 | } |
306 | ||
307 | //_____________________________________________________________________________ | |
2a941f4e | 308 | Int_t AliTRDtrack::Compare(const TObject *o) const { |
46d29e70 | 309 | |
5443e65e | 310 | // Compares tracks according to their Y2 or curvature |
46d29e70 | 311 | |
312 | AliTRDtrack *t=(AliTRDtrack*)o; | |
313 | // Double_t co=t->GetSigmaY2(); | |
314 | // Double_t c =GetSigmaY2(); | |
315 | ||
316 | Double_t co=TMath::Abs(t->GetC()); | |
317 | Double_t c =TMath::Abs(GetC()); | |
318 | ||
319 | if (c>co) return 1; | |
320 | else if (c<co) return -1; | |
321 | return 0; | |
322 | } | |
323 | ||
a819a5f7 | 324 | //_____________________________________________________________________________ |
325 | void AliTRDtrack::CookdEdx(Double_t low, Double_t up) { | |
326 | //----------------------------------------------------------------- | |
327 | // Calculates dE/dX within the "low" and "up" cuts. | |
328 | //----------------------------------------------------------------- | |
5443e65e | 329 | |
a819a5f7 | 330 | Int_t i; |
5443e65e | 331 | Int_t nc=GetNumberOfClusters(); |
a819a5f7 | 332 | |
5443e65e | 333 | Float_t sorted[kMAX_CLUSTERS_PER_TRACK]; |
334 | for (i=0; i < nc; i++) { | |
335 | sorted[i]=fdQdl[i]; | |
336 | } | |
a819a5f7 | 337 | |
338 | Int_t swap; | |
5443e65e | 339 | |
a819a5f7 | 340 | do { |
341 | swap=0; | |
342 | for (i=0; i<nc-1; i++) { | |
343 | if (sorted[i]<=sorted[i+1]) continue; | |
344 | Float_t tmp=sorted[i]; | |
345 | sorted[i]=sorted[i+1]; sorted[i+1]=tmp; | |
346 | swap++; | |
347 | } | |
348 | } while (swap); | |
349 | ||
350 | Int_t nl=Int_t(low*nc), nu=Int_t(up*nc); | |
351 | Float_t dedx=0; | |
352 | for (i=nl; i<=nu; i++) dedx += sorted[i]; | |
353 | dedx /= (nu-nl+1); | |
5443e65e | 354 | |
a819a5f7 | 355 | SetdEdx(dedx); |
356 | } | |
357 | ||
358 | ||
46d29e70 | 359 | //_____________________________________________________________________________ |
b3a5a838 | 360 | Int_t AliTRDtrack::PropagateTo(Double_t xk,Double_t x0,Double_t rho) |
46d29e70 | 361 | { |
362 | // Propagates a track of particle with mass=pm to a reference plane | |
363 | // defined by x=xk through media of density=rho and radiationLength=x0 | |
364 | ||
9c9d2487 | 365 | if (xk == fX) return 1; |
366 | ||
46d29e70 | 367 | if (TMath::Abs(fC*xk - fE) >= 0.99999) { |
b8dc2353 | 368 | Int_t n=GetNumberOfClusters(); |
9c9d2487 | 369 | if (n>4) cerr << n << " AliTRDtrack: Propagation failed, \tPt = " |
370 | << GetPt() << "\t" << GetLabel() << "\t" << GetMass() << endl; | |
46d29e70 | 371 | return 0; |
372 | } | |
373 | ||
0d5b5c27 | 374 | // track Length measurement [SR, GSI, 17.02.2003] |
375 | Double_t oldX = fX, oldY = fY, oldZ = fZ; | |
376 | ||
46d29e70 | 377 | Double_t x1=fX, x2=x1+(xk-x1), dx=x2-x1, y1=fY, z1=fZ; |
5443e65e | 378 | Double_t c1=fC*x1 - fE; |
379 | if((c1*c1) > 1) return 0; | |
380 | Double_t r1=sqrt(1.- c1*c1); | |
b8dc2353 | 381 | Double_t c2=fC*x2 - fE; |
5443e65e | 382 | if((c2*c2) > 1) return 0; |
383 | Double_t r2=sqrt(1.- c2*c2); | |
46d29e70 | 384 | |
385 | fY += dx*(c1+c2)/(r1+r2); | |
386 | fZ += dx*(c1+c2)/(c1*r2 + c2*r1)*fT; | |
387 | ||
388 | //f = F - 1 | |
389 | Double_t rr=r1+r2, cc=c1+c2, xx=x1+x2; | |
b3a5a838 | 390 | Double_t f02=-dx*(2*rr + cc*(c1/r1 + c2/r2))/(rr*rr); |
391 | Double_t f04= dx*(rr*xx + cc*(c1*x1/r1+c2*x2/r2))/(rr*rr); | |
46d29e70 | 392 | Double_t cr=c1*r2+c2*r1; |
b3a5a838 | 393 | Double_t f12=-dx*fT*(2*cr + cc*(c2*c1/r1-r1 + c1*c2/r2-r2))/(cr*cr); |
394 | Double_t f13= dx*cc/cr; | |
b8dc2353 | 395 | Double_t f14=dx*fT*(cr*xx-cc*(r1*x2-c2*c1*x1/r1+r2*x1-c1*c2*x2/r2))/(cr*cr); |
46d29e70 | 396 | |
397 | //b = C*ft | |
b3a5a838 | 398 | Double_t b00=f02*fCey + f04*fCcy, b01=f12*fCey + f14*fCcy + f13*fCty; |
399 | Double_t b10=f02*fCez + f04*fCcz, b11=f12*fCez + f14*fCcz + f13*fCtz; | |
400 | Double_t b20=f02*fCee + f04*fCce, b21=f12*fCee + f14*fCce + f13*fCte; | |
401 | Double_t b30=f02*fCte + f04*fCct, b31=f12*fCte + f14*fCct + f13*fCtt; | |
402 | Double_t b40=f02*fCce + f04*fCcc, b41=f12*fCce + f14*fCcc + f13*fCct; | |
46d29e70 | 403 | |
404 | //a = f*b = f*C*ft | |
b3a5a838 | 405 | Double_t a00=f02*b20+f04*b40,a01=f02*b21+f04*b41,a11=f12*b21+f14*b41+f13*b31; |
46d29e70 | 406 | |
407 | //F*C*Ft = C + (a + b + bt) | |
408 | fCyy += a00 + 2*b00; | |
409 | fCzy += a01 + b01 + b10; | |
b3a5a838 | 410 | fCey += b20; |
411 | fCty += b30; | |
412 | fCcy += b40; | |
46d29e70 | 413 | fCzz += a11 + 2*b11; |
b3a5a838 | 414 | fCez += b21; |
415 | fCtz += b31; | |
b8dc2353 | 416 | fCcz += b41; |
46d29e70 | 417 | |
b8dc2353 | 418 | fX=x2; |
46d29e70 | 419 | |
420 | //Multiple scattering ****************** | |
46d29e70 | 421 | Double_t d=sqrt((x1-fX)*(x1-fX)+(y1-fY)*(y1-fY)+(z1-fZ)*(z1-fZ)); |
b8dc2353 | 422 | Double_t p2=(1.+ GetTgl()*GetTgl())/(Get1Pt()*Get1Pt()); |
b3a5a838 | 423 | Double_t beta2=p2/(p2 + GetMass()*GetMass()); |
b8dc2353 | 424 | Double_t theta2=14.1*14.1/(beta2*p2*1e6)*d/x0*rho; |
46d29e70 | 425 | |
426 | Double_t ey=fC*fX - fE, ez=fT; | |
427 | Double_t xz=fC*ez, zz1=ez*ez+1, xy=fE+ey; | |
428 | ||
46d29e70 | 429 | fCee += (2*ey*ez*ez*fE+1-ey*ey+ez*ez+fE*fE*ez*ez)*theta2; |
430 | fCte += ez*zz1*xy*theta2; | |
431 | fCtt += zz1*zz1*theta2; | |
b3a5a838 | 432 | fCce += xz*ez*xy*theta2; |
433 | fCct += xz*zz1*theta2; | |
434 | fCcc += xz*xz*theta2; | |
46d29e70 | 435 | |
46d29e70 | 436 | //Energy losses************************ |
b8dc2353 | 437 | if((5940*beta2/(1-beta2+1e-10) - beta2) < 0) return 0; |
5443e65e | 438 | |
b8dc2353 | 439 | Double_t dE=0.153e-3/beta2*(log(5940*beta2/(1-beta2+1e-10)) - beta2)*d*rho; |
440 | if (x1 < x2) dE=-dE; | |
441 | cc=fC; | |
b3a5a838 | 442 | fC*=(1.- sqrt(p2+GetMass()*GetMass())/p2*dE); |
b8dc2353 | 443 | fE+=fX*(fC-cc); |
46d29e70 | 444 | |
0d5b5c27 | 445 | // track time measurement [SR, GSI 17.02.2002] |
0fa7dfa7 | 446 | if (x1 < x2) |
0d5b5c27 | 447 | if (IsStartedTimeIntegral()) { |
448 | Double_t l2 = (fX-oldX)*(fX-oldX) + (fY-oldY)*(fY-oldY) + (fZ-oldZ)*(fZ-oldZ); | |
449 | AddTimeStep(TMath::Sqrt(l2)); | |
450 | } | |
451 | ||
b8dc2353 | 452 | return 1; |
46d29e70 | 453 | } |
454 | ||
fd621f36 | 455 | |
46d29e70 | 456 | //_____________________________________________________________________________ |
fd621f36 | 457 | Int_t AliTRDtrack::Update(const AliTRDcluster *c, Double_t chisq, UInt_t index, Double_t h01) |
46d29e70 | 458 | { |
459 | // Assignes found cluster to the track and updates track information | |
460 | ||
b8dc2353 | 461 | Bool_t fNoTilt = kTRUE; |
462 | if(TMath::Abs(h01) > 0.003) fNoTilt = kFALSE; | |
fd621f36 | 463 | |
b8dc2353 | 464 | Double_t r00=c->GetSigmaY2(), r01=0., r11=c->GetSigmaZ2(); |
465 | r00+=fCyy; r01+=fCzy; r11+=fCzz; | |
46d29e70 | 466 | Double_t det=r00*r11 - r01*r01; |
467 | Double_t tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det; | |
468 | ||
b8dc2353 | 469 | Double_t k00=fCyy*r00+fCzy*r01, k01=fCyy*r01+fCzy*r11; |
470 | Double_t k10=fCzy*r00+fCzz*r01, k11=fCzy*r01+fCzz*r11; | |
471 | Double_t k20=fCey*r00+fCez*r01, k21=fCey*r01+fCez*r11; | |
472 | Double_t k30=fCty*r00+fCtz*r01, k31=fCty*r01+fCtz*r11; | |
473 | Double_t k40=fCcy*r00+fCcz*r01, k41=fCcy*r01+fCcz*r11; | |
46d29e70 | 474 | |
475 | Double_t dy=c->GetY() - fY, dz=c->GetZ() - fZ; | |
b3a5a838 | 476 | Double_t cur=fC + k40*dy + k41*dz, eta=fE + k20*dy + k21*dz; |
fd621f36 | 477 | |
b3a5a838 | 478 | Double_t c01=fCzy, c02=fCey, c03=fCty, c04=fCcy; |
479 | Double_t c12=fCez, c13=fCtz, c14=fCcz; | |
46d29e70 | 480 | |
b8dc2353 | 481 | if(fNoTilt) { |
482 | if (TMath::Abs(cur*fX-eta) >= 0.99999) { | |
483 | Int_t n=GetNumberOfClusters(); | |
484 | if (n>4) cerr<<n<<" AliTRDtrack warning: Filtering failed !\n"; | |
485 | return 0; | |
486 | } | |
487 | fY += k00*dy + k01*dz; | |
488 | fZ += k10*dy + k11*dz; | |
489 | fE = eta; | |
9c9d2487 | 490 | //fT += k30*dy + k31*dz; |
b8dc2353 | 491 | fC = cur; |
492 | } | |
493 | else { | |
494 | Double_t xu_factor = 100.; // empirical factor set by C.Xu | |
495 | // in the first tilt version | |
496 | r00=c->GetSigmaY2(), r01=0., r11=c->GetSigmaZ2()*xu_factor; | |
497 | r00+=(fCyy+2.0*h01*fCzy+h01*h01*fCzz); | |
498 | r01+=(fCzy+h01*fCzz); | |
499 | det=r00*r11 - r01*r01; | |
500 | tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det; | |
501 | ||
502 | k00=fCyy*r00+fCzy*(r01+h01*r00),k01=fCyy*r01+fCzy*(r11+h01*r01); | |
503 | k10=fCzy*r00+fCzz*(r01+h01*r00),k11=fCzy*r01+fCzz*(r11+h01*r01); | |
504 | k20=fCey*r00+fCez*(r01+h01*r00),k21=fCey*r01+fCez*(r11+h01*r01); | |
505 | k30=fCty*r00+fCtz*(r01+h01*r00),k31=fCty*r01+fCtz*(r11+h01*r01); | |
506 | k40=fCcy*r00+fCcz*(r01+h01*r00),k41=fCcy*r01+fCcz*(r11+h01*r01); | |
507 | ||
508 | dy=c->GetY() - fY; dz=c->GetZ() - fZ; | |
509 | dy=dy+h01*dz; | |
510 | ||
511 | cur=fC + k40*dy + k41*dz; eta=fE + k20*dy + k21*dz; | |
512 | if (TMath::Abs(cur*fX-eta) >= 0.99999) { | |
513 | Int_t n=GetNumberOfClusters(); | |
514 | if (n>4) cerr<<n<<" AliTRDtrack warning: Filtering failed !\n"; | |
515 | return 0; | |
516 | } | |
517 | fY += k00*dy + k01*dz; | |
518 | fZ += k10*dy + k11*dz; | |
519 | fE = eta; | |
9c9d2487 | 520 | //fT += k30*dy + k31*dz; |
b8dc2353 | 521 | fC = cur; |
522 | ||
523 | k01+=h01*k00; | |
524 | k11+=h01*k10; | |
525 | k21+=h01*k20; | |
526 | k31+=h01*k30; | |
527 | k41+=h01*k40; | |
528 | } | |
529 | ||
46d29e70 | 530 | fCyy-=k00*fCyy+k01*fCzy; fCzy-=k00*c01+k01*fCzz; |
b3a5a838 | 531 | fCey-=k00*c02+k01*c12; fCty-=k00*c03+k01*c13; |
532 | fCcy-=k00*c04+k01*c14; | |
b8dc2353 | 533 | |
46d29e70 | 534 | fCzz-=k10*c01+k11*fCzz; |
b3a5a838 | 535 | fCez-=k10*c02+k11*c12; fCtz-=k10*c03+k11*c13; |
536 | fCcz-=k10*c04+k11*c14; | |
b8dc2353 | 537 | |
b3a5a838 | 538 | fCee-=k20*c02+k21*c12; fCte-=k20*c03+k21*c13; |
539 | fCce-=k20*c04+k21*c14; | |
b8dc2353 | 540 | |
b3a5a838 | 541 | fCtt-=k30*c03+k31*c13; |
b8dc2353 | 542 | fCct-=k40*c03+k41*c13; |
543 | ||
544 | fCcc-=k40*c04+k41*c14; | |
46d29e70 | 545 | |
b8dc2353 | 546 | Int_t n=GetNumberOfClusters(); |
5443e65e | 547 | fIndex[n]=index; |
b8dc2353 | 548 | SetNumberOfClusters(n+1); |
fd621f36 | 549 | |
b8dc2353 | 550 | SetChi2(GetChi2()+chisq); |
46d29e70 | 551 | // cerr<<"in update: fIndex["<<fN<<"] = "<<index<<endl; |
5443e65e | 552 | |
b8dc2353 | 553 | return 1; |
46d29e70 | 554 | } |
555 | ||
fd621f36 | 556 | |
46d29e70 | 557 | //_____________________________________________________________________________ |
558 | Int_t AliTRDtrack::Rotate(Double_t alpha) | |
559 | { | |
560 | // Rotates track parameters in R*phi plane | |
9c9d2487 | 561 | |
562 | fNRotate++; | |
46d29e70 | 563 | |
564 | fAlpha += alpha; | |
b3a5a838 | 565 | if (fAlpha<-TMath::Pi()) fAlpha += 2*TMath::Pi(); |
b8dc2353 | 566 | if (fAlpha>=TMath::Pi()) fAlpha -= 2*TMath::Pi(); |
46d29e70 | 567 | |
568 | Double_t x1=fX, y1=fY; | |
569 | Double_t ca=cos(alpha), sa=sin(alpha); | |
570 | Double_t r1=fC*fX - fE; | |
571 | ||
572 | fX = x1*ca + y1*sa; | |
b8dc2353 | 573 | fY =-x1*sa + y1*ca; |
574 | if((r1*r1) > 1) return 0; | |
46d29e70 | 575 | fE=fE*ca + (fC*y1 + sqrt(1.- r1*r1))*sa; |
576 | ||
577 | Double_t r2=fC*fX - fE; | |
578 | if (TMath::Abs(r2) >= 0.99999) { | |
b8dc2353 | 579 | Int_t n=GetNumberOfClusters(); |
5443e65e | 580 | if (n>4) cerr<<n<<" AliTRDtrack warning: Rotation failed !\n"; |
46d29e70 | 581 | return 0; |
582 | } | |
583 | ||
b8dc2353 | 584 | if((r2*r2) > 1) return 0; |
46d29e70 | 585 | Double_t y0=fY + sqrt(1.- r2*r2)/fC; |
586 | if ((fY-y0)*fC >= 0.) { | |
b8dc2353 | 587 | Int_t n=GetNumberOfClusters(); |
5443e65e | 588 | if (n>4) cerr<<n<<" AliTRDtrack warning: Rotation failed !!!\n"; |
46d29e70 | 589 | return 0; |
590 | } | |
591 | ||
592 | //f = F - 1 | |
b3a5a838 | 593 | Double_t f00=ca-1, f24=(y1 - r1*x1/sqrt(1.- r1*r1))*sa, |
b8dc2353 | 594 | f20=fC*sa, f22=(ca + sa*r1/sqrt(1.- r1*r1))-1; |
46d29e70 | 595 | |
596 | //b = C*ft | |
b3a5a838 | 597 | Double_t b00=fCyy*f00, b02=fCyy*f20+fCcy*f24+fCey*f22; |
598 | Double_t b10=fCzy*f00, b12=fCzy*f20+fCcz*f24+fCez*f22; | |
599 | Double_t b20=fCey*f00, b22=fCey*f20+fCce*f24+fCee*f22; | |
600 | Double_t b30=fCty*f00, b32=fCty*f20+fCct*f24+fCte*f22; | |
601 | Double_t b40=fCcy*f00, b42=fCcy*f20+fCcc*f24+fCce*f22; | |
46d29e70 | 602 | |
603 | //a = f*b = f*C*ft | |
b3a5a838 | 604 | Double_t a00=f00*b00, a02=f00*b02, a22=f20*b02+f24*b42+f22*b22; |
46d29e70 | 605 | |
46d29e70 | 606 | //F*C*Ft = C + (a + b + bt) |
607 | fCyy += a00 + 2*b00; | |
608 | fCzy += b10; | |
b3a5a838 | 609 | fCey += a02+b20+b02; |
610 | fCty += b30; | |
611 | fCcy += b40; | |
612 | fCez += b12; | |
613 | fCte += b32; | |
614 | fCee += a22 + 2*b22; | |
615 | fCce += b42; | |
46d29e70 | 616 | |
b8dc2353 | 617 | return 1; |
46d29e70 | 618 | } |
619 | ||
620 | ||
46d29e70 | 621 | //_____________________________________________________________________________ |
fd621f36 | 622 | Double_t AliTRDtrack::GetPredictedChi2(const AliTRDcluster *c, Double_t h01) const |
46d29e70 | 623 | { |
fd621f36 | 624 | |
b8dc2353 | 625 | Bool_t fNoTilt = kTRUE; |
626 | if(TMath::Abs(h01) > 0.003) fNoTilt = kFALSE; | |
627 | Double_t chi2, dy, r00, r01, r11; | |
628 | ||
629 | if(fNoTilt) { | |
630 | dy=c->GetY() - fY; | |
631 | r00=c->GetSigmaY2(); | |
632 | chi2 = (dy*dy)/r00; | |
46d29e70 | 633 | } |
b8dc2353 | 634 | else { |
635 | r00=c->GetSigmaY2(); r01=0.; r11=c->GetSigmaZ2(); | |
636 | r00+=fCyy; r01+=fCzy; r11+=fCzz; | |
637 | ||
638 | Double_t det=r00*r11 - r01*r01; | |
639 | if (TMath::Abs(det) < 1.e-10) { | |
640 | Int_t n=GetNumberOfClusters(); | |
641 | if (n>4) cerr<<n<<" AliTRDtrack warning: Singular matrix !\n"; | |
642 | return 1e10; | |
643 | } | |
644 | Double_t tmp=r00; r00=r11; r11=tmp; r01=-r01; | |
645 | Double_t dy=c->GetY() - fY, dz=c->GetZ() - fZ; | |
646 | dy=dy+h01*dz; | |
a819a5f7 | 647 | |
b8dc2353 | 648 | chi2 = (dy*r00*dy + 2*r01*dy*dz + dz*r11*dz)/det; |
649 | } | |
650 | return chi2; | |
fd621f36 | 651 | } |
46d29e70 | 652 | |
653 | ||
654 | //_________________________________________________________________________ | |
655 | void AliTRDtrack::GetPxPyPz(Double_t& px, Double_t& py, Double_t& pz) const | |
656 | { | |
657 | // Returns reconstructed track momentum in the global system. | |
658 | ||
659 | Double_t pt=TMath::Abs(GetPt()); // GeV/c | |
660 | Double_t r=fC*fX-fE; | |
5443e65e | 661 | |
662 | Double_t y0; | |
663 | if(r > 1) { py = pt; px = 0; } | |
664 | else if(r < -1) { py = -pt; px = 0; } | |
665 | else { | |
666 | y0=fY + sqrt(1.- r*r)/fC; | |
667 | px=-pt*(fY-y0)*fC; //cos(phi); | |
668 | py=-pt*(fE-fX*fC); //sin(phi); | |
669 | } | |
46d29e70 | 670 | pz=pt*fT; |
671 | Double_t tmp=px*TMath::Cos(fAlpha) - py*TMath::Sin(fAlpha); | |
672 | py=px*TMath::Sin(fAlpha) + py*TMath::Cos(fAlpha); | |
673 | px=tmp; | |
674 | ||
675 | } | |
676 | ||
5443e65e | 677 | //_________________________________________________________________________ |
678 | void AliTRDtrack::GetGlobalXYZ(Double_t& x, Double_t& y, Double_t& z) const | |
46d29e70 | 679 | { |
5443e65e | 680 | // Returns reconstructed track coordinates in the global system. |
681 | ||
682 | x = fX; y = fY; z = fZ; | |
683 | Double_t tmp=x*TMath::Cos(fAlpha) - y*TMath::Sin(fAlpha); | |
684 | y=x*TMath::Sin(fAlpha) + y*TMath::Cos(fAlpha); | |
685 | x=tmp; | |
686 | ||
687 | } | |
3ab6f951 | 688 | |
5443e65e | 689 | //_________________________________________________________________________ |
690 | void AliTRDtrack::ResetCovariance() { | |
691 | // | |
692 | // Resets covariance matrix | |
693 | // | |
46d29e70 | 694 | |
5443e65e | 695 | fCyy*=10.; |
b8dc2353 | 696 | fCzy=0.; fCzz*=10.; |
697 | fCey=0.; fCez=0.; fCee*=10.; | |
698 | fCty=0.; fCtz=0.; fCte=0.; fCtt*=10.; | |
699 | fCcy=0.; fCcz=0.; fCce=0.; fCct=0.; fCcc*=10.; | |
5443e65e | 700 | } |
b8dc2353 | 701 |