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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 | ||
16 | /* | |
17 | $Log$ | |
9c9d2487 | 18 | Revision 1.17 2003/02/19 09:02:28 hristov |
19 | Track time measurement (S.Radomski) | |
20 | ||
0d5b5c27 | 21 | Revision 1.16 2003/02/10 14:06:10 cblume |
22 | Add tracking without tilted pads as option | |
23 | ||
b8dc2353 | 24 | Revision 1.15 2003/01/27 16:34:49 cblume |
25 | Update of tracking by Sergei and Chuncheng | |
26 | ||
b3a5a838 | 27 | Revision 1.14 2002/11/07 15:52:09 cblume |
28 | Update of tracking code for tilted pads | |
29 | ||
fd621f36 | 30 | Revision 1.13 2002/10/22 15:53:08 alibrary |
31 | Introducing Riostream.h | |
32 | ||
a2cb5b3d | 33 | Revision 1.12 2002/10/14 14:57:44 hristov |
34 | Merging the VirtualMC branch to the main development branch (HEAD) | |
35 | ||
b9d0a01d | 36 | Revision 1.8.10.2 2002/07/24 10:09:31 alibrary |
37 | Updating VirtualMC | |
38 | ||
fd621f36 | 39 | RRevision 1.11 2002/06/13 12:09:58 hristov |
b9d0a01d | 40 | Minor corrections |
41 | ||
ca6c93d6 | 42 | Revision 1.10 2002/06/12 09:54:35 cblume |
43 | Update of tracking code provided by Sergei | |
44 | ||
0a29d0f1 | 45 | Revision 1.8 2001/05/30 12:17:47 hristov |
46 | Loop variables declared once | |
47 | ||
3ab6f951 | 48 | Revision 1.7 2001/05/28 17:07:58 hristov |
49 | 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) | |
50 | ||
2a941f4e | 51 | Revision 1.4 2000/12/08 16:07:02 cblume |
52 | Update of the tracking by Sergei | |
53 | ||
bbf92647 | 54 | Revision 1.3 2000/10/15 23:40:01 cblume |
55 | Remove AliTRDconst | |
56 | ||
0e9c2ad5 | 57 | Revision 1.2 2000/10/06 16:49:46 cblume |
58 | Made Getters const | |
59 | ||
46d29e70 | 60 | Revision 1.1.2.1 2000/09/22 14:47:52 cblume |
61 | Add the tracking code | |
62 | ||
63 | */ | |
64 | ||
a2cb5b3d | 65 | #include <Riostream.h> |
5443e65e | 66 | #include <TObject.h> |
46d29e70 | 67 | |
46d29e70 | 68 | #include "AliTRDgeometry.h" |
69 | #include "AliTRDcluster.h" | |
70 | #include "AliTRDtrack.h" | |
5443e65e | 71 | #include "../TPC/AliTPCtrack.h" |
46d29e70 | 72 | |
b3a5a838 | 73 | |
46d29e70 | 74 | ClassImp(AliTRDtrack) |
75 | ||
76 | ||
77 | //_____________________________________________________________________________ | |
78 | ||
a819a5f7 | 79 | AliTRDtrack::AliTRDtrack(const AliTRDcluster *c, UInt_t index, |
5443e65e | 80 | const Double_t xx[5], const Double_t cc[15], |
81 | Double_t xref, Double_t alpha) : AliKalmanTrack() { | |
46d29e70 | 82 | //----------------------------------------------------------------- |
83 | // This is the main track constructor. | |
84 | //----------------------------------------------------------------- | |
5443e65e | 85 | |
86 | fSeedLab = -1; | |
46d29e70 | 87 | |
88 | fAlpha=alpha; | |
5443e65e | 89 | if (fAlpha<-TMath::Pi()) fAlpha += 2*TMath::Pi(); |
90 | if (fAlpha>=TMath::Pi()) fAlpha -= 2*TMath::Pi(); | |
91 | ||
46d29e70 | 92 | fX=xref; |
93 | ||
b3a5a838 | 94 | fY=xx[0]; fZ=xx[1]; fE=xx[2]; fT=xx[3]; fC=xx[4]; |
46d29e70 | 95 | |
96 | fCyy=cc[0]; | |
97 | fCzy=cc[1]; fCzz=cc[2]; | |
b3a5a838 | 98 | fCey=cc[3]; fCez=cc[4]; fCee=cc[5]; |
99 | fCty=cc[6]; fCtz=cc[7]; fCte=cc[8]; fCtt=cc[9]; | |
b8dc2353 | 100 | fCcy=cc[10]; fCcz=cc[11]; fCce=cc[12]; fCct=cc[13]; fCcc=cc[14]; |
101 | ||
5443e65e | 102 | fIndex[0]=index; |
103 | SetNumberOfClusters(1); | |
104 | ||
105 | fdEdx=0.; | |
a2b90f83 | 106 | |
b3a5a838 | 107 | fLhElectron = 0.0; |
9c9d2487 | 108 | fNWrong = 0; |
109 | fNRotate = 0; | |
b3a5a838 | 110 | |
5443e65e | 111 | Double_t q = TMath::Abs(c->GetQ()); |
a819a5f7 | 112 | Double_t s = fX*fC - fE, t=fT; |
5443e65e | 113 | if(s*s < 1) q *= TMath::Sqrt((1-s*s)/(1+t*t)); |
114 | ||
115 | fdQdl[0] = q; | |
0d5b5c27 | 116 | |
117 | // initialisation [SR, GSI 18.02.2003] (i startd for 1) | |
118 | for(Int_t i=1; i<kMAX_CLUSTERS_PER_TRACK; i++) { | |
119 | fdQdl[i] = 0; | |
120 | fIndex[i] = 0; | |
121 | } | |
46d29e70 | 122 | } |
123 | ||
124 | //_____________________________________________________________________________ | |
5443e65e | 125 | AliTRDtrack::AliTRDtrack(const AliTRDtrack& t) : AliKalmanTrack(t) { |
46d29e70 | 126 | // |
127 | // Copy constructor. | |
128 | // | |
b8dc2353 | 129 | |
5443e65e | 130 | SetLabel(t.GetLabel()); |
131 | fSeedLab=t.GetSeedLabel(); | |
46d29e70 | 132 | |
5443e65e | 133 | SetChi2(t.GetChi2()); |
46d29e70 | 134 | fdEdx=t.fdEdx; |
135 | ||
b3a5a838 | 136 | fLhElectron = 0.0; |
9c9d2487 | 137 | fNWrong = t.fNWrong; |
138 | fNRotate = t.fNRotate; | |
b3a5a838 | 139 | |
46d29e70 | 140 | fAlpha=t.fAlpha; |
141 | fX=t.fX; | |
142 | ||
b8dc2353 | 143 | fY=t.fY; fZ=t.fZ; fE=t.fE; fT=t.fT; fC=t.fC; |
46d29e70 | 144 | |
145 | fCyy=t.fCyy; | |
146 | fCzy=t.fCzy; fCzz=t.fCzz; | |
b3a5a838 | 147 | fCey=t.fCey; fCez=t.fCez; fCee=t.fCee; |
148 | fCty=t.fCty; fCtz=t.fCtz; fCte=t.fCte; fCtt=t.fCtt; | |
b8dc2353 | 149 | fCcy=t.fCcy; fCcz=t.fCcz; fCce=t.fCce; fCct=t.fCct; fCcc=t.fCcc; |
46d29e70 | 150 | |
5443e65e | 151 | Int_t n=t.GetNumberOfClusters(); |
152 | SetNumberOfClusters(n); | |
153 | for (Int_t i=0; i<n; i++) { | |
a819a5f7 | 154 | fIndex[i]=t.fIndex[i]; |
155 | fdQdl[i]=t.fdQdl[i]; | |
156 | } | |
b8dc2353 | 157 | |
0d5b5c27 | 158 | // initialisation (i starts from n) [SR, GSI, 18.02.2003] |
159 | for(Int_t i=n; i<kMAX_CLUSTERS_PER_TRACK; i++) { | |
160 | fdQdl[i] = 0; | |
161 | fIndex[i] = 0; | |
162 | } | |
5443e65e | 163 | } |
164 | ||
165 | //_____________________________________________________________________________ | |
b3a5a838 | 166 | AliTRDtrack::AliTRDtrack(const AliKalmanTrack& t, Double_t alpha) |
167 | :AliKalmanTrack(t) { | |
5443e65e | 168 | // |
169 | // Constructor from AliTPCtrack or AliITStrack . | |
170 | // | |
171 | ||
172 | SetLabel(t.GetLabel()); | |
173 | SetChi2(0.); | |
b8dc2353 | 174 | SetMass(t.GetMass()); |
5443e65e | 175 | SetNumberOfClusters(0); |
176 | ||
177 | fdEdx=0; | |
178 | ||
b3a5a838 | 179 | fLhElectron = 0.0; |
9c9d2487 | 180 | fNWrong = 0; |
181 | fNRotate = 0; | |
b3a5a838 | 182 | |
5443e65e | 183 | fAlpha = alpha; |
184 | if (fAlpha < -TMath::Pi()) fAlpha += 2*TMath::Pi(); | |
185 | else if (fAlpha >= TMath::Pi()) fAlpha -= 2*TMath::Pi(); | |
186 | ||
187 | Double_t x, p[5]; t.GetExternalParameters(x,p); | |
188 | ||
189 | fX=x; | |
190 | ||
191 | x = GetConvConst(); | |
192 | ||
b8dc2353 | 193 | fY=p[0]; |
194 | fZ=p[1]; | |
b3a5a838 | 195 | fT=p[3]; |
196 | fC=p[4]/x; | |
b8dc2353 | 197 | fE=fC*fX - p[2]; |
5443e65e | 198 | |
199 | //Conversion of the covariance matrix | |
200 | Double_t c[15]; t.GetExternalCovariance(c); | |
201 | ||
202 | c[10]/=x; c[11]/=x; c[12]/=x; c[13]/=x; c[14]/=x*x; | |
203 | ||
204 | Double_t c22=fX*fX*c[14] - 2*fX*c[12] + c[5]; | |
205 | Double_t c32=fX*c[13] - c[8]; | |
206 | Double_t c20=fX*c[10] - c[3], c21=fX*c[11] - c[4], c42=fX*c[14] - c[12]; | |
207 | ||
b8dc2353 | 208 | fCyy=c[0 ]; |
209 | fCzy=c[1 ]; fCzz=c[2 ]; | |
210 | fCey=c20; fCez=c21; fCee=c22; | |
211 | fCty=c[6 ]; fCtz=c[7 ]; fCte=c32; fCtt=c[9 ]; | |
212 | fCcy=c[10]; fCcz=c[11]; fCce=c42; fCct=c[13]; fCcc=c[14]; | |
5443e65e | 213 | |
0d5b5c27 | 214 | // Initialization [SR, GSI, 18.02.2003] |
215 | for(Int_t i=0; i<kMAX_CLUSTERS_PER_TRACK; i++) { | |
216 | fdQdl[i] = 0; | |
217 | fIndex[i] = 0; | |
218 | } | |
5443e65e | 219 | } |
9c9d2487 | 220 | //_____________________________________________________________________________ |
221 | ||
222 | void AliTRDtrack::GetBarrelTrack(AliBarrelTrack *track) { | |
223 | // | |
224 | // | |
225 | // | |
226 | ||
227 | if (!track) return; | |
228 | Double_t xr, vec[5], cov[15]; | |
229 | ||
230 | track->SetLabel(GetLabel()); | |
231 | track->SetX(fX, fAlpha); | |
232 | track->SetNClusters(GetNumberOfClusters(), GetChi2()); | |
233 | track->SetNWrongClusters(fNWrong); | |
234 | track->SetNRotate(fNRotate); | |
235 | track->SetTime(fIntegratedTime, fIntegratedLength); | |
236 | ||
237 | track->SetMass(fMass); | |
238 | track->SetdEdX(fdEdx); | |
5443e65e | 239 | |
9c9d2487 | 240 | GetExternalParameters(xr, vec); |
241 | track->SetStateVector(vec); | |
242 | ||
243 | GetExternalCovariance(cov); | |
244 | track->SetCovarianceMatrix(cov); | |
245 | } | |
5443e65e | 246 | //____________________________________________________________________________ |
247 | void AliTRDtrack::GetExternalParameters(Double_t& xr, Double_t x[5]) const { | |
248 | // | |
249 | // This function returns external TRD track representation | |
250 | // | |
251 | xr=fX; | |
252 | x[0]=GetY(); | |
253 | x[1]=GetZ(); | |
254 | x[2]=GetSnp(); | |
255 | x[3]=GetTgl(); | |
b8dc2353 | 256 | x[4]=Get1Pt(); |
5443e65e | 257 | } |
258 | ||
259 | //_____________________________________________________________________________ | |
260 | void AliTRDtrack::GetExternalCovariance(Double_t cc[15]) const { | |
261 | // | |
262 | // This function returns external representation of the covriance matrix. | |
263 | // | |
264 | Double_t a=GetConvConst(); | |
265 | ||
b3a5a838 | 266 | Double_t c22=fX*fX*fCcc-2*fX*fCce+fCee; |
267 | Double_t c32=fX*fCct-fCte; | |
268 | Double_t c20=fX*fCcy-fCey, c21=fX*fCcz-fCez, c42=fX*fCcc-fCce; | |
5443e65e | 269 | |
270 | cc[0 ]=fCyy; | |
271 | cc[1 ]=fCzy; cc[2 ]=fCzz; | |
272 | cc[3 ]=c20; cc[4 ]=c21; cc[5 ]=c22; | |
273 | cc[6 ]=fCty; cc[7 ]=fCtz; cc[8 ]=c32; cc[9 ]=fCtt; | |
b8dc2353 | 274 | cc[10]=fCcy*a; cc[11]=fCcz*a; cc[12]=c42*a; cc[13]=fCct*a; cc[14]=fCcc*a*a; |
275 | ||
5443e65e | 276 | } |
277 | ||
46d29e70 | 278 | |
279 | //_____________________________________________________________________________ | |
280 | void AliTRDtrack::GetCovariance(Double_t cc[15]) const { | |
b8dc2353 | 281 | |
46d29e70 | 282 | cc[0]=fCyy; |
283 | cc[1]=fCzy; cc[2]=fCzz; | |
b3a5a838 | 284 | cc[3]=fCey; cc[4]=fCez; cc[5]=fCee; |
285 | cc[6]=fCcy; cc[7]=fCcz; cc[8]=fCce; cc[9]=fCcc; | |
286 | cc[10]=fCty; cc[11]=fCtz; cc[12]=fCte; cc[13]=fCct; cc[14]=fCtt; | |
b8dc2353 | 287 | |
46d29e70 | 288 | } |
289 | ||
290 | //_____________________________________________________________________________ | |
2a941f4e | 291 | Int_t AliTRDtrack::Compare(const TObject *o) const { |
46d29e70 | 292 | |
5443e65e | 293 | // Compares tracks according to their Y2 or curvature |
46d29e70 | 294 | |
295 | AliTRDtrack *t=(AliTRDtrack*)o; | |
296 | // Double_t co=t->GetSigmaY2(); | |
297 | // Double_t c =GetSigmaY2(); | |
298 | ||
299 | Double_t co=TMath::Abs(t->GetC()); | |
300 | Double_t c =TMath::Abs(GetC()); | |
301 | ||
302 | if (c>co) return 1; | |
303 | else if (c<co) return -1; | |
304 | return 0; | |
305 | } | |
306 | ||
a819a5f7 | 307 | //_____________________________________________________________________________ |
308 | void AliTRDtrack::CookdEdx(Double_t low, Double_t up) { | |
309 | //----------------------------------------------------------------- | |
310 | // Calculates dE/dX within the "low" and "up" cuts. | |
311 | //----------------------------------------------------------------- | |
5443e65e | 312 | |
a819a5f7 | 313 | Int_t i; |
5443e65e | 314 | Int_t nc=GetNumberOfClusters(); |
a819a5f7 | 315 | |
5443e65e | 316 | Float_t sorted[kMAX_CLUSTERS_PER_TRACK]; |
317 | for (i=0; i < nc; i++) { | |
318 | sorted[i]=fdQdl[i]; | |
319 | } | |
a819a5f7 | 320 | |
321 | Int_t swap; | |
5443e65e | 322 | |
a819a5f7 | 323 | do { |
324 | swap=0; | |
325 | for (i=0; i<nc-1; i++) { | |
326 | if (sorted[i]<=sorted[i+1]) continue; | |
327 | Float_t tmp=sorted[i]; | |
328 | sorted[i]=sorted[i+1]; sorted[i+1]=tmp; | |
329 | swap++; | |
330 | } | |
331 | } while (swap); | |
332 | ||
333 | Int_t nl=Int_t(low*nc), nu=Int_t(up*nc); | |
334 | Float_t dedx=0; | |
335 | for (i=nl; i<=nu; i++) dedx += sorted[i]; | |
336 | dedx /= (nu-nl+1); | |
5443e65e | 337 | |
a819a5f7 | 338 | SetdEdx(dedx); |
339 | } | |
340 | ||
341 | ||
46d29e70 | 342 | //_____________________________________________________________________________ |
b3a5a838 | 343 | Int_t AliTRDtrack::PropagateTo(Double_t xk,Double_t x0,Double_t rho) |
46d29e70 | 344 | { |
345 | // Propagates a track of particle with mass=pm to a reference plane | |
346 | // defined by x=xk through media of density=rho and radiationLength=x0 | |
347 | ||
9c9d2487 | 348 | if (xk == fX) return 1; |
349 | ||
46d29e70 | 350 | if (TMath::Abs(fC*xk - fE) >= 0.99999) { |
b8dc2353 | 351 | Int_t n=GetNumberOfClusters(); |
9c9d2487 | 352 | if (n>4) cerr << n << " AliTRDtrack: Propagation failed, \tPt = " |
353 | << GetPt() << "\t" << GetLabel() << "\t" << GetMass() << endl; | |
46d29e70 | 354 | return 0; |
355 | } | |
356 | ||
0d5b5c27 | 357 | // track Length measurement [SR, GSI, 17.02.2003] |
358 | Double_t oldX = fX, oldY = fY, oldZ = fZ; | |
359 | ||
46d29e70 | 360 | Double_t x1=fX, x2=x1+(xk-x1), dx=x2-x1, y1=fY, z1=fZ; |
5443e65e | 361 | Double_t c1=fC*x1 - fE; |
362 | if((c1*c1) > 1) return 0; | |
363 | Double_t r1=sqrt(1.- c1*c1); | |
b8dc2353 | 364 | Double_t c2=fC*x2 - fE; |
5443e65e | 365 | if((c2*c2) > 1) return 0; |
366 | Double_t r2=sqrt(1.- c2*c2); | |
46d29e70 | 367 | |
368 | fY += dx*(c1+c2)/(r1+r2); | |
369 | fZ += dx*(c1+c2)/(c1*r2 + c2*r1)*fT; | |
370 | ||
371 | //f = F - 1 | |
372 | Double_t rr=r1+r2, cc=c1+c2, xx=x1+x2; | |
b3a5a838 | 373 | Double_t f02=-dx*(2*rr + cc*(c1/r1 + c2/r2))/(rr*rr); |
374 | Double_t f04= dx*(rr*xx + cc*(c1*x1/r1+c2*x2/r2))/(rr*rr); | |
46d29e70 | 375 | Double_t cr=c1*r2+c2*r1; |
b3a5a838 | 376 | Double_t f12=-dx*fT*(2*cr + cc*(c2*c1/r1-r1 + c1*c2/r2-r2))/(cr*cr); |
377 | Double_t f13= dx*cc/cr; | |
b8dc2353 | 378 | Double_t f14=dx*fT*(cr*xx-cc*(r1*x2-c2*c1*x1/r1+r2*x1-c1*c2*x2/r2))/(cr*cr); |
46d29e70 | 379 | |
380 | //b = C*ft | |
b3a5a838 | 381 | Double_t b00=f02*fCey + f04*fCcy, b01=f12*fCey + f14*fCcy + f13*fCty; |
382 | Double_t b10=f02*fCez + f04*fCcz, b11=f12*fCez + f14*fCcz + f13*fCtz; | |
383 | Double_t b20=f02*fCee + f04*fCce, b21=f12*fCee + f14*fCce + f13*fCte; | |
384 | Double_t b30=f02*fCte + f04*fCct, b31=f12*fCte + f14*fCct + f13*fCtt; | |
385 | Double_t b40=f02*fCce + f04*fCcc, b41=f12*fCce + f14*fCcc + f13*fCct; | |
46d29e70 | 386 | |
387 | //a = f*b = f*C*ft | |
b3a5a838 | 388 | Double_t a00=f02*b20+f04*b40,a01=f02*b21+f04*b41,a11=f12*b21+f14*b41+f13*b31; |
46d29e70 | 389 | |
390 | //F*C*Ft = C + (a + b + bt) | |
391 | fCyy += a00 + 2*b00; | |
392 | fCzy += a01 + b01 + b10; | |
b3a5a838 | 393 | fCey += b20; |
394 | fCty += b30; | |
395 | fCcy += b40; | |
46d29e70 | 396 | fCzz += a11 + 2*b11; |
b3a5a838 | 397 | fCez += b21; |
398 | fCtz += b31; | |
b8dc2353 | 399 | fCcz += b41; |
46d29e70 | 400 | |
b8dc2353 | 401 | fX=x2; |
46d29e70 | 402 | |
403 | //Multiple scattering ****************** | |
46d29e70 | 404 | Double_t d=sqrt((x1-fX)*(x1-fX)+(y1-fY)*(y1-fY)+(z1-fZ)*(z1-fZ)); |
b8dc2353 | 405 | Double_t p2=(1.+ GetTgl()*GetTgl())/(Get1Pt()*Get1Pt()); |
b3a5a838 | 406 | Double_t beta2=p2/(p2 + GetMass()*GetMass()); |
b8dc2353 | 407 | Double_t theta2=14.1*14.1/(beta2*p2*1e6)*d/x0*rho; |
46d29e70 | 408 | |
409 | Double_t ey=fC*fX - fE, ez=fT; | |
410 | Double_t xz=fC*ez, zz1=ez*ez+1, xy=fE+ey; | |
411 | ||
46d29e70 | 412 | fCee += (2*ey*ez*ez*fE+1-ey*ey+ez*ez+fE*fE*ez*ez)*theta2; |
413 | fCte += ez*zz1*xy*theta2; | |
414 | fCtt += zz1*zz1*theta2; | |
b3a5a838 | 415 | fCce += xz*ez*xy*theta2; |
416 | fCct += xz*zz1*theta2; | |
417 | fCcc += xz*xz*theta2; | |
46d29e70 | 418 | |
46d29e70 | 419 | //Energy losses************************ |
b8dc2353 | 420 | if((5940*beta2/(1-beta2+1e-10) - beta2) < 0) return 0; |
5443e65e | 421 | |
b8dc2353 | 422 | Double_t dE=0.153e-3/beta2*(log(5940*beta2/(1-beta2+1e-10)) - beta2)*d*rho; |
423 | if (x1 < x2) dE=-dE; | |
424 | cc=fC; | |
b3a5a838 | 425 | fC*=(1.- sqrt(p2+GetMass()*GetMass())/p2*dE); |
b8dc2353 | 426 | fE+=fX*(fC-cc); |
46d29e70 | 427 | |
0d5b5c27 | 428 | // track time measurement [SR, GSI 17.02.2002] |
429 | if (IsStartedTimeIntegral()) { | |
430 | Double_t l2 = (fX-oldX)*(fX-oldX) + (fY-oldY)*(fY-oldY) + (fZ-oldZ)*(fZ-oldZ); | |
431 | AddTimeStep(TMath::Sqrt(l2)); | |
432 | } | |
433 | ||
b8dc2353 | 434 | return 1; |
46d29e70 | 435 | } |
436 | ||
fd621f36 | 437 | |
46d29e70 | 438 | //_____________________________________________________________________________ |
fd621f36 | 439 | Int_t AliTRDtrack::Update(const AliTRDcluster *c, Double_t chisq, UInt_t index, Double_t h01) |
46d29e70 | 440 | { |
441 | // Assignes found cluster to the track and updates track information | |
442 | ||
b8dc2353 | 443 | Bool_t fNoTilt = kTRUE; |
444 | if(TMath::Abs(h01) > 0.003) fNoTilt = kFALSE; | |
fd621f36 | 445 | |
b8dc2353 | 446 | Double_t r00=c->GetSigmaY2(), r01=0., r11=c->GetSigmaZ2(); |
447 | r00+=fCyy; r01+=fCzy; r11+=fCzz; | |
46d29e70 | 448 | Double_t det=r00*r11 - r01*r01; |
449 | Double_t tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det; | |
450 | ||
b8dc2353 | 451 | Double_t k00=fCyy*r00+fCzy*r01, k01=fCyy*r01+fCzy*r11; |
452 | Double_t k10=fCzy*r00+fCzz*r01, k11=fCzy*r01+fCzz*r11; | |
453 | Double_t k20=fCey*r00+fCez*r01, k21=fCey*r01+fCez*r11; | |
454 | Double_t k30=fCty*r00+fCtz*r01, k31=fCty*r01+fCtz*r11; | |
455 | Double_t k40=fCcy*r00+fCcz*r01, k41=fCcy*r01+fCcz*r11; | |
46d29e70 | 456 | |
457 | Double_t dy=c->GetY() - fY, dz=c->GetZ() - fZ; | |
b3a5a838 | 458 | Double_t cur=fC + k40*dy + k41*dz, eta=fE + k20*dy + k21*dz; |
fd621f36 | 459 | |
b3a5a838 | 460 | Double_t c01=fCzy, c02=fCey, c03=fCty, c04=fCcy; |
461 | Double_t c12=fCez, c13=fCtz, c14=fCcz; | |
46d29e70 | 462 | |
b8dc2353 | 463 | if(fNoTilt) { |
464 | if (TMath::Abs(cur*fX-eta) >= 0.99999) { | |
465 | Int_t n=GetNumberOfClusters(); | |
466 | if (n>4) cerr<<n<<" AliTRDtrack warning: Filtering failed !\n"; | |
467 | return 0; | |
468 | } | |
469 | fY += k00*dy + k01*dz; | |
470 | fZ += k10*dy + k11*dz; | |
471 | fE = eta; | |
9c9d2487 | 472 | //fT += k30*dy + k31*dz; |
b8dc2353 | 473 | fC = cur; |
474 | } | |
475 | else { | |
476 | Double_t xu_factor = 100.; // empirical factor set by C.Xu | |
477 | // in the first tilt version | |
478 | r00=c->GetSigmaY2(), r01=0., r11=c->GetSigmaZ2()*xu_factor; | |
479 | r00+=(fCyy+2.0*h01*fCzy+h01*h01*fCzz); | |
480 | r01+=(fCzy+h01*fCzz); | |
481 | det=r00*r11 - r01*r01; | |
482 | tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det; | |
483 | ||
484 | k00=fCyy*r00+fCzy*(r01+h01*r00),k01=fCyy*r01+fCzy*(r11+h01*r01); | |
485 | k10=fCzy*r00+fCzz*(r01+h01*r00),k11=fCzy*r01+fCzz*(r11+h01*r01); | |
486 | k20=fCey*r00+fCez*(r01+h01*r00),k21=fCey*r01+fCez*(r11+h01*r01); | |
487 | k30=fCty*r00+fCtz*(r01+h01*r00),k31=fCty*r01+fCtz*(r11+h01*r01); | |
488 | k40=fCcy*r00+fCcz*(r01+h01*r00),k41=fCcy*r01+fCcz*(r11+h01*r01); | |
489 | ||
490 | dy=c->GetY() - fY; dz=c->GetZ() - fZ; | |
491 | dy=dy+h01*dz; | |
492 | ||
493 | cur=fC + k40*dy + k41*dz; eta=fE + k20*dy + k21*dz; | |
494 | if (TMath::Abs(cur*fX-eta) >= 0.99999) { | |
495 | Int_t n=GetNumberOfClusters(); | |
496 | if (n>4) cerr<<n<<" AliTRDtrack warning: Filtering failed !\n"; | |
497 | return 0; | |
498 | } | |
499 | fY += k00*dy + k01*dz; | |
500 | fZ += k10*dy + k11*dz; | |
501 | fE = eta; | |
9c9d2487 | 502 | //fT += k30*dy + k31*dz; |
b8dc2353 | 503 | fC = cur; |
504 | ||
505 | k01+=h01*k00; | |
506 | k11+=h01*k10; | |
507 | k21+=h01*k20; | |
508 | k31+=h01*k30; | |
509 | k41+=h01*k40; | |
510 | } | |
511 | ||
46d29e70 | 512 | fCyy-=k00*fCyy+k01*fCzy; fCzy-=k00*c01+k01*fCzz; |
b3a5a838 | 513 | fCey-=k00*c02+k01*c12; fCty-=k00*c03+k01*c13; |
514 | fCcy-=k00*c04+k01*c14; | |
b8dc2353 | 515 | |
46d29e70 | 516 | fCzz-=k10*c01+k11*fCzz; |
b3a5a838 | 517 | fCez-=k10*c02+k11*c12; fCtz-=k10*c03+k11*c13; |
518 | fCcz-=k10*c04+k11*c14; | |
b8dc2353 | 519 | |
b3a5a838 | 520 | fCee-=k20*c02+k21*c12; fCte-=k20*c03+k21*c13; |
521 | fCce-=k20*c04+k21*c14; | |
b8dc2353 | 522 | |
b3a5a838 | 523 | fCtt-=k30*c03+k31*c13; |
b8dc2353 | 524 | fCct-=k40*c03+k41*c13; |
525 | ||
526 | fCcc-=k40*c04+k41*c14; | |
46d29e70 | 527 | |
b8dc2353 | 528 | Int_t n=GetNumberOfClusters(); |
5443e65e | 529 | fIndex[n]=index; |
b8dc2353 | 530 | SetNumberOfClusters(n+1); |
fd621f36 | 531 | |
b8dc2353 | 532 | SetChi2(GetChi2()+chisq); |
46d29e70 | 533 | // cerr<<"in update: fIndex["<<fN<<"] = "<<index<<endl; |
5443e65e | 534 | |
b8dc2353 | 535 | return 1; |
46d29e70 | 536 | } |
537 | ||
fd621f36 | 538 | |
46d29e70 | 539 | //_____________________________________________________________________________ |
540 | Int_t AliTRDtrack::Rotate(Double_t alpha) | |
541 | { | |
542 | // Rotates track parameters in R*phi plane | |
9c9d2487 | 543 | |
544 | fNRotate++; | |
46d29e70 | 545 | |
546 | fAlpha += alpha; | |
b3a5a838 | 547 | if (fAlpha<-TMath::Pi()) fAlpha += 2*TMath::Pi(); |
b8dc2353 | 548 | if (fAlpha>=TMath::Pi()) fAlpha -= 2*TMath::Pi(); |
46d29e70 | 549 | |
550 | Double_t x1=fX, y1=fY; | |
551 | Double_t ca=cos(alpha), sa=sin(alpha); | |
552 | Double_t r1=fC*fX - fE; | |
553 | ||
554 | fX = x1*ca + y1*sa; | |
b8dc2353 | 555 | fY =-x1*sa + y1*ca; |
556 | if((r1*r1) > 1) return 0; | |
46d29e70 | 557 | fE=fE*ca + (fC*y1 + sqrt(1.- r1*r1))*sa; |
558 | ||
559 | Double_t r2=fC*fX - fE; | |
560 | if (TMath::Abs(r2) >= 0.99999) { | |
b8dc2353 | 561 | Int_t n=GetNumberOfClusters(); |
5443e65e | 562 | if (n>4) cerr<<n<<" AliTRDtrack warning: Rotation failed !\n"; |
46d29e70 | 563 | return 0; |
564 | } | |
565 | ||
b8dc2353 | 566 | if((r2*r2) > 1) return 0; |
46d29e70 | 567 | Double_t y0=fY + sqrt(1.- r2*r2)/fC; |
568 | if ((fY-y0)*fC >= 0.) { | |
b8dc2353 | 569 | Int_t n=GetNumberOfClusters(); |
5443e65e | 570 | if (n>4) cerr<<n<<" AliTRDtrack warning: Rotation failed !!!\n"; |
46d29e70 | 571 | return 0; |
572 | } | |
573 | ||
574 | //f = F - 1 | |
b3a5a838 | 575 | Double_t f00=ca-1, f24=(y1 - r1*x1/sqrt(1.- r1*r1))*sa, |
b8dc2353 | 576 | f20=fC*sa, f22=(ca + sa*r1/sqrt(1.- r1*r1))-1; |
46d29e70 | 577 | |
578 | //b = C*ft | |
b3a5a838 | 579 | Double_t b00=fCyy*f00, b02=fCyy*f20+fCcy*f24+fCey*f22; |
580 | Double_t b10=fCzy*f00, b12=fCzy*f20+fCcz*f24+fCez*f22; | |
581 | Double_t b20=fCey*f00, b22=fCey*f20+fCce*f24+fCee*f22; | |
582 | Double_t b30=fCty*f00, b32=fCty*f20+fCct*f24+fCte*f22; | |
583 | Double_t b40=fCcy*f00, b42=fCcy*f20+fCcc*f24+fCce*f22; | |
46d29e70 | 584 | |
585 | //a = f*b = f*C*ft | |
b3a5a838 | 586 | Double_t a00=f00*b00, a02=f00*b02, a22=f20*b02+f24*b42+f22*b22; |
46d29e70 | 587 | |
46d29e70 | 588 | //F*C*Ft = C + (a + b + bt) |
589 | fCyy += a00 + 2*b00; | |
590 | fCzy += b10; | |
b3a5a838 | 591 | fCey += a02+b20+b02; |
592 | fCty += b30; | |
593 | fCcy += b40; | |
594 | fCez += b12; | |
595 | fCte += b32; | |
596 | fCee += a22 + 2*b22; | |
597 | fCce += b42; | |
46d29e70 | 598 | |
b8dc2353 | 599 | return 1; |
46d29e70 | 600 | } |
601 | ||
602 | ||
46d29e70 | 603 | //_____________________________________________________________________________ |
fd621f36 | 604 | Double_t AliTRDtrack::GetPredictedChi2(const AliTRDcluster *c, Double_t h01) const |
46d29e70 | 605 | { |
fd621f36 | 606 | |
b8dc2353 | 607 | Bool_t fNoTilt = kTRUE; |
608 | if(TMath::Abs(h01) > 0.003) fNoTilt = kFALSE; | |
609 | Double_t chi2, dy, r00, r01, r11; | |
610 | ||
611 | if(fNoTilt) { | |
612 | dy=c->GetY() - fY; | |
613 | r00=c->GetSigmaY2(); | |
614 | chi2 = (dy*dy)/r00; | |
46d29e70 | 615 | } |
b8dc2353 | 616 | else { |
617 | r00=c->GetSigmaY2(); r01=0.; r11=c->GetSigmaZ2(); | |
618 | r00+=fCyy; r01+=fCzy; r11+=fCzz; | |
619 | ||
620 | Double_t det=r00*r11 - r01*r01; | |
621 | if (TMath::Abs(det) < 1.e-10) { | |
622 | Int_t n=GetNumberOfClusters(); | |
623 | if (n>4) cerr<<n<<" AliTRDtrack warning: Singular matrix !\n"; | |
624 | return 1e10; | |
625 | } | |
626 | Double_t tmp=r00; r00=r11; r11=tmp; r01=-r01; | |
627 | Double_t dy=c->GetY() - fY, dz=c->GetZ() - fZ; | |
628 | dy=dy+h01*dz; | |
a819a5f7 | 629 | |
b8dc2353 | 630 | chi2 = (dy*r00*dy + 2*r01*dy*dz + dz*r11*dz)/det; |
631 | } | |
632 | return chi2; | |
fd621f36 | 633 | } |
46d29e70 | 634 | |
635 | ||
636 | //_________________________________________________________________________ | |
637 | void AliTRDtrack::GetPxPyPz(Double_t& px, Double_t& py, Double_t& pz) const | |
638 | { | |
639 | // Returns reconstructed track momentum in the global system. | |
640 | ||
641 | Double_t pt=TMath::Abs(GetPt()); // GeV/c | |
642 | Double_t r=fC*fX-fE; | |
5443e65e | 643 | |
644 | Double_t y0; | |
645 | if(r > 1) { py = pt; px = 0; } | |
646 | else if(r < -1) { py = -pt; px = 0; } | |
647 | else { | |
648 | y0=fY + sqrt(1.- r*r)/fC; | |
649 | px=-pt*(fY-y0)*fC; //cos(phi); | |
650 | py=-pt*(fE-fX*fC); //sin(phi); | |
651 | } | |
46d29e70 | 652 | pz=pt*fT; |
653 | Double_t tmp=px*TMath::Cos(fAlpha) - py*TMath::Sin(fAlpha); | |
654 | py=px*TMath::Sin(fAlpha) + py*TMath::Cos(fAlpha); | |
655 | px=tmp; | |
656 | ||
657 | } | |
658 | ||
5443e65e | 659 | //_________________________________________________________________________ |
660 | void AliTRDtrack::GetGlobalXYZ(Double_t& x, Double_t& y, Double_t& z) const | |
46d29e70 | 661 | { |
5443e65e | 662 | // Returns reconstructed track coordinates in the global system. |
663 | ||
664 | x = fX; y = fY; z = fZ; | |
665 | Double_t tmp=x*TMath::Cos(fAlpha) - y*TMath::Sin(fAlpha); | |
666 | y=x*TMath::Sin(fAlpha) + y*TMath::Cos(fAlpha); | |
667 | x=tmp; | |
668 | ||
669 | } | |
3ab6f951 | 670 | |
5443e65e | 671 | //_________________________________________________________________________ |
672 | void AliTRDtrack::ResetCovariance() { | |
673 | // | |
674 | // Resets covariance matrix | |
675 | // | |
46d29e70 | 676 | |
5443e65e | 677 | fCyy*=10.; |
b8dc2353 | 678 | fCzy=0.; fCzz*=10.; |
679 | fCey=0.; fCez=0.; fCee*=10.; | |
680 | fCty=0.; fCtz=0.; fCte=0.; fCtt*=10.; | |
681 | fCcy=0.; fCcz=0.; fCce=0.; fCct=0.; fCcc*=10.; | |
5443e65e | 682 | } |
b8dc2353 | 683 |