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73042f01 | 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 | ||
803d1ab0 | 16 | /* $Id$ */ |
0938c7d3 | 17 | |
73042f01 | 18 | //----------------------------------------------------------------- |
19 | // Implementation of the TPC track class | |
7c27857f | 20 | // This class is used by the AliTPCtracker class |
21 | // Origin: Iouri Belikov, CERN, Jouri.Belikov@cern.ch | |
73042f01 | 22 | //----------------------------------------------------------------- |
23 | ||
19364939 | 24 | #include <Riostream.h> |
b19a0509 | 25 | |
73042f01 | 26 | #include "AliTPCtrack.h" |
7c27857f | 27 | #include "AliCluster.h" |
83d73500 | 28 | #include "AliESDtrack.h" |
3f82c4f2 | 29 | #include "AliTPCReconstructor.h" |
73042f01 | 30 | |
31 | ClassImp(AliTPCtrack) | |
b9de75e1 | 32 | |
e3f7105e | 33 | //_________________________________________________________________________ |
e13cc304 | 34 | AliTPCtrack::AliTPCtrack(): |
35 | AliKalmanTrack(), | |
36 | fX(0), | |
37 | fAlpha(0), | |
38 | fdEdx(0), | |
39 | fP0(0), | |
40 | fP1(0), | |
41 | fP2(0), | |
42 | fP3(0), | |
43 | fP4(0), | |
44 | fC00(1e10), | |
45 | fC10(0), | |
46 | fC11(1e10), | |
47 | fC20(0), | |
48 | fC21(0), | |
49 | fC22(1e10), | |
50 | fC30(0), | |
51 | fC31(0), | |
52 | fC32(0), | |
53 | fC33(1e10), | |
54 | fC40(0), | |
55 | fC41(0), | |
56 | fC42(0), | |
57 | fC43(0), | |
58 | fC44(0), | |
59 | fNumber(0), | |
60 | fSdEdx(1e10), | |
61 | fNFoundable(0), | |
62 | fBConstrain(kFALSE), | |
63 | fLastPoint(-1), | |
64 | fFirstPoint(-1), | |
65 | fRemoval(0), | |
66 | fTrackType(0), | |
67 | fLab2(-1), | |
68 | fNShared(0), | |
69 | fReference() | |
e3f7105e | 70 | { |
2fc0c115 | 71 | //------------------------------------------------- |
72 | // default constructor | |
73 | //------------------------------------------------- | |
e13cc304 | 74 | for (Int_t i=0; i<kMaxRow;i++) fIndex[i]=-2; |
75 | for (Int_t i=0; i<4;i++) fPoints[i]=0.; | |
76 | for (Int_t i=0; i<12;i++) fKinkPoint[i]=0.; | |
c84a5e9e | 77 | for (Int_t i=0; i<3;i++) fKinkIndexes[i]=0; |
e13cc304 | 78 | for (Int_t i=0; i<3;i++) fV0Indexes[i]=0; |
e3f7105e | 79 | } |
80 | ||
73042f01 | 81 | //_________________________________________________________________________ |
51ad6848 | 82 | |
83 | ||
84 | ||
73042f01 | 85 | AliTPCtrack::AliTPCtrack(UInt_t index, const Double_t xx[5], |
e13cc304 | 86 | const Double_t cc[15], Double_t xref, Double_t alpha) : |
87 | AliKalmanTrack(), | |
88 | fX(xref), | |
89 | fdEdx(0), | |
90 | fP0(xx[0]), | |
91 | fP1(xx[1]), | |
92 | fP2(xx[2]), | |
93 | fP3(xx[3]), | |
94 | fP4(xx[4]), | |
95 | fC00(cc[0]), | |
96 | fC10(cc[1]), | |
97 | fC11(cc[2]), | |
98 | fC20(cc[3]), | |
99 | fC21(cc[4]), | |
100 | fC22(cc[5]), | |
101 | fC30(cc[6]), | |
102 | fC31(cc[7]), | |
103 | fC32(cc[8]), | |
104 | fC33(cc[9]), | |
105 | fC40(cc[10]), | |
106 | fC41(cc[11]), | |
107 | fC42(cc[12]), | |
108 | fC43(cc[13]), | |
109 | fC44(cc[14]), | |
110 | fNumber(1), | |
111 | fSdEdx(1e10), | |
112 | fNFoundable(0), | |
113 | fBConstrain(kFALSE), | |
114 | fLastPoint(0), | |
115 | fFirstPoint(0), | |
116 | fRemoval(0), | |
117 | fTrackType(0), | |
118 | fLab2(0), | |
119 | fNShared(0), | |
120 | fReference() | |
121 | { | |
73042f01 | 122 | //----------------------------------------------------------------- |
123 | // This is the main track constructor. | |
124 | //----------------------------------------------------------------- | |
be9c5115 | 125 | fAlpha=alpha; |
126 | if (fAlpha<-TMath::Pi()) fAlpha += 2*TMath::Pi(); | |
127 | if (fAlpha>=TMath::Pi()) fAlpha -= 2*TMath::Pi(); | |
73042f01 | 128 | |
c84a5e9e | 129 | SaveLocalConvConst(); |
130 | ||
be9c5115 | 131 | SetNumberOfClusters(1); |
e13cc304 | 132 | |
133 | fIndex[0]=index; | |
9fe5b2ff | 134 | for (Int_t i=1; i<kMaxRow;i++) fIndex[i]=-2; |
135 | for (Int_t i=0; i<4;i++) fPoints[i]=0.; | |
136 | for (Int_t i=0; i<12;i++) fKinkPoint[i]=0.; | |
51ad6848 | 137 | for (Int_t i=0; i<3;i++) fKinkIndexes[i]=0; |
81e97e0d | 138 | for (Int_t i=0; i<3;i++) fV0Indexes[i]=0; |
b9de75e1 | 139 | } |
140 | ||
83d73500 | 141 | //_____________________________________________________________________________ |
e13cc304 | 142 | AliTPCtrack::AliTPCtrack(const AliESDtrack& t) : |
143 | AliKalmanTrack(), | |
144 | fSdEdx(1e10), | |
145 | fNFoundable(0), | |
146 | fBConstrain(kFALSE), | |
147 | fLastPoint(0), | |
148 | fFirstPoint(0), | |
149 | fRemoval(0), | |
150 | fTrackType(0), | |
151 | fLab2(0), | |
152 | fNShared(0), | |
153 | fReference() | |
154 | { | |
83d73500 | 155 | //----------------------------------------------------------------- |
156 | // Conversion AliESDtrack -> AliTPCtrack. | |
157 | //----------------------------------------------------------------- | |
158 | SetNumberOfClusters(t.GetTPCclusters(fIndex)); | |
159 | SetLabel(t.GetLabel()); | |
160 | SetMass(t.GetMass()); | |
9fe5b2ff | 161 | for (Int_t i=0; i<4;i++) fPoints[i]=0.; |
162 | for (Int_t i=0; i<12;i++) fKinkPoint[i]=0.; | |
163 | for (Int_t i=0; i<3;i++) fKinkIndexes[i]=0; | |
164 | for (Int_t i=0; i<3;i++) fV0Indexes[i]=0; | |
83d73500 | 165 | |
166 | fdEdx = t.GetTPCsignal(); | |
167 | fAlpha = t.GetAlpha(); | |
168 | if (fAlpha < -TMath::Pi()) fAlpha += 2*TMath::Pi(); | |
169 | else if (fAlpha >= TMath::Pi()) fAlpha -= 2*TMath::Pi(); | |
170 | ||
171 | //Conversion of the track parameters | |
172 | Double_t x,p[5]; t.GetExternalParameters(x,p); | |
51ad6848 | 173 | Double_t c[15]; t.GetExternalCovariance(c); |
174 | ||
c84a5e9e | 175 | fX=x; |
83d73500 | 176 | fP0=p[0]; |
c84a5e9e | 177 | fP1=p[1]; SaveLocalConvConst(); |
178 | fP3=p[3]; x=GetLocalConvConst(); | |
83d73500 | 179 | fP4=p[4]/x; |
180 | fP2=fP4*fX - p[2]; | |
181 | ||
182 | //Conversion of the covariance matrix | |
83d73500 | 183 | c[10]/=x; c[11]/=x; c[12]/=x; c[13]/=x; c[14]/=x*x; |
184 | ||
185 | Double_t c22=fX*fX*c[14] - 2*fX*c[12] + c[5]; | |
186 | Double_t c32=fX*c[13] - c[8]; | |
187 | Double_t c20=fX*c[10] - c[3], c21=fX*c[11] - c[4], c42=fX*c[14] - c[12]; | |
188 | ||
189 | fC00=c[0 ]; | |
190 | fC10=c[1 ]; fC11=c[2 ]; | |
191 | fC20=c20; fC21=c21; fC22=c22; | |
192 | fC30=c[6 ]; fC31=c[7 ]; fC32=c32; fC33=c[9 ]; | |
193 | fC40=c[10]; fC41=c[11]; fC42=c42; fC43=c[13]; fC44=c[14]; | |
194 | ||
0798b21e | 195 | if ((t.GetStatus()&AliESDtrack::kTIME) == 0) return; |
83d73500 | 196 | StartTimeIntegral(); |
197 | Double_t times[10]; t.GetIntegratedTimes(times); SetIntegratedTimes(times); | |
198 | SetIntegratedLength(t.GetIntegratedLength()); | |
199 | } | |
200 | ||
73042f01 | 201 | //_____________________________________________________________________________ |
e13cc304 | 202 | AliTPCtrack::AliTPCtrack(const AliTPCtrack& t) : |
203 | AliKalmanTrack(t), | |
204 | fX(t.fX), | |
205 | fAlpha(t.fAlpha), | |
206 | fdEdx(t.fdEdx), | |
207 | fP0(t.fP0), | |
208 | fP1(t.fP1), | |
209 | fP2(t.fP2), | |
210 | fP3(t.fP3), | |
211 | fP4(t.fP4), | |
212 | fC00(t.fC00), | |
213 | fC10(t.fC10), | |
214 | fC11(t.fC11), | |
215 | fC20(t.fC20), | |
216 | fC21(t.fC21), | |
217 | fC22(t.fC22), | |
218 | fC30(t.fC30), | |
219 | fC31(t.fC31), | |
220 | fC32(t.fC32), | |
221 | fC33(t.fC33), | |
222 | fC40(t.fC40), | |
223 | fC41(t.fC41), | |
224 | fC42(t.fC42), | |
225 | fC43(t.fC43), | |
226 | fC44(t.fC44), | |
227 | fNumber(t.fNumber), | |
228 | fSdEdx(t.fSdEdx), | |
229 | fNFoundable(t.fNFoundable), | |
230 | fBConstrain(t.fBConstrain), | |
231 | fLastPoint(t.fLastPoint), | |
232 | fFirstPoint(t.fFirstPoint), | |
233 | fRemoval(t.fRemoval), | |
234 | fTrackType(t.fTrackType), | |
235 | fLab2(t.fLab2), | |
236 | fNShared(t.fNShared), | |
237 | fReference(t.fReference) | |
238 | ||
239 | { | |
73042f01 | 240 | //----------------------------------------------------------------- |
241 | // This is a track copy constructor. | |
242 | //----------------------------------------------------------------- | |
51584047 | 243 | for (Int_t i=0; i<kMaxRow; i++) fIndex[i]=t.fIndex[i]; |
9fe5b2ff | 244 | for (Int_t i=0; i<4;i++) fPoints[i]=t.fPoints[i]; |
245 | for (Int_t i=0; i<12;i++) fKinkPoint[i]=t.fKinkPoint[i]; | |
51ad6848 | 246 | for (Int_t i=0; i<3;i++) fKinkIndexes[i]=t.fKinkIndexes[i]; |
81e97e0d | 247 | for (Int_t i=0; i<3;i++) fV0Indexes[i]=t.fV0Indexes[i]; |
be9c5115 | 248 | } |
249 | ||
250 | //_____________________________________________________________________________ | |
251 | Int_t AliTPCtrack::Compare(const TObject *o) const { | |
252 | //----------------------------------------------------------------- | |
253 | // This function compares tracks according to the their curvature | |
254 | //----------------------------------------------------------------- | |
255 | AliTPCtrack *t=(AliTPCtrack*)o; | |
024a7fe9 | 256 | //Double_t co=TMath::Abs(t->Get1Pt()); |
257 | //Double_t c =TMath::Abs(Get1Pt()); | |
258 | Double_t co=t->GetSigmaY2()*t->GetSigmaZ2(); | |
259 | Double_t c =GetSigmaY2()*GetSigmaZ2(); | |
be9c5115 | 260 | if (c>co) return 1; |
261 | else if (c<co) return -1; | |
262 | return 0; | |
263 | } | |
264 | ||
265 | //_____________________________________________________________________________ | |
266 | void AliTPCtrack::GetExternalCovariance(Double_t cc[15]) const { | |
c84a5e9e | 267 | //------------------------------------------------------------------------- |
be9c5115 | 268 | // This function returns an external representation of the covriance matrix. |
269 | // (See comments in AliTPCtrack.h about external track representation) | |
270 | //------------------------------------------------------------------------- | |
c84a5e9e | 271 | Double_t a=GetLocalConvConst(); |
be9c5115 | 272 | |
b9de75e1 | 273 | Double_t c22=fX*fX*fC44-2*fX*fC42+fC22; |
274 | Double_t c32=fX*fC43-fC32; | |
275 | Double_t c20=fX*fC40-fC20, c21=fX*fC41-fC21, c42=fX*fC44-fC42; | |
be9c5115 | 276 | |
277 | cc[0 ]=fC00; | |
278 | cc[1 ]=fC10; cc[2 ]=fC11; | |
279 | cc[3 ]=c20; cc[4 ]=c21; cc[5 ]=c22; | |
b9de75e1 | 280 | cc[6 ]=fC30; cc[7 ]=fC31; cc[8 ]=c32; cc[9 ]=fC33; |
281 | cc[10]=fC40*a; cc[11]=fC41*a; cc[12]=c42*a; cc[13]=fC43*a; cc[14]=fC44*a*a; | |
be9c5115 | 282 | |
283 | } | |
284 | ||
285 | //_____________________________________________________________________________ | |
286 | Double_t AliTPCtrack::GetPredictedChi2(const AliCluster *c) const | |
287 | { | |
288 | //----------------------------------------------------------------- | |
289 | // This function calculates a predicted chi2 increment. | |
290 | //----------------------------------------------------------------- | |
291 | Double_t r00=c->GetSigmaY2(), r01=0., r11=c->GetSigmaZ2(); | |
292 | r00+=fC00; r01+=fC10; r11+=fC11; | |
293 | ||
294 | Double_t det=r00*r11 - r01*r01; | |
295 | if (TMath::Abs(det) < 1.e-10) { | |
296 | Int_t n=GetNumberOfClusters(); | |
297 | if (n>4) cerr<<n<<" AliKalmanTrack warning: Singular matrix !\n"; | |
298 | return 1e10; | |
299 | } | |
300 | Double_t tmp=r00; r00=r11; r11=tmp; r01=-r01; | |
301 | ||
302 | Double_t dy=c->GetY() - fP0, dz=c->GetZ() - fP1; | |
303 | ||
304 | return (dy*r00*dy + 2*r01*dy*dz + dz*r11*dz)/det; | |
73042f01 | 305 | } |
306 | ||
c630aafd | 307 | Double_t AliTPCtrack::GetYat(Double_t xk) const { |
308 | //----------------------------------------------------------------- | |
309 | // This function calculates the Y-coordinate of a track at the plane x=xk. | |
310 | //----------------------------------------------------------------- | |
3f82c4f2 | 311 | if (TMath::Abs(fP4*fX - fP2)>AliTPCReconstructor::GetMaxSnpTrack()) return 0.; //patch 01 jan 06 |
c630aafd | 312 | Double_t c1=fP4*fX - fP2, r1=TMath::Sqrt(1.- c1*c1); |
df02fd67 | 313 | Double_t c2=fP4*xk - fP2; |
3f82c4f2 | 314 | if (c2*c2>AliTPCReconstructor::GetMaxSnpTrack()) { |
315 | // Int_t n=GetNumberOfClusters(); | |
316 | // if (n>4) cerr<<n<<"AliTPCtrack::GetYat: can't evaluate the y-coord !\n"; | |
317 | return 0; | |
df02fd67 | 318 | } |
319 | Double_t r2=TMath::Sqrt(1.- c2*c2); | |
c630aafd | 320 | return fP0 + (xk-fX)*(c1+c2)/(r1+r2); |
321 | } | |
322 | ||
73042f01 | 323 | //_____________________________________________________________________________ |
176aff27 | 324 | Int_t AliTPCtrack::PropagateTo(Double_t xk,Double_t /*x0*/,Double_t rho) { |
73042f01 | 325 | //----------------------------------------------------------------- |
326 | // This function propagates a track to a reference plane x=xk. | |
327 | //----------------------------------------------------------------- | |
3f82c4f2 | 328 | if (TMath::Abs(fP4*xk - fP2) >= AliTPCReconstructor::GetMaxSnpTrack()) { |
1627d1c4 | 329 | // Int_t n=GetNumberOfClusters(); |
330 | //if (n>4) cerr<<n<<" AliTPCtrack warning: Propagation failed !\n"; | |
73042f01 | 331 | return 0; |
332 | } | |
c84a5e9e | 333 | Double_t lcc=GetLocalConvConst(); |
334 | ||
e3f7105e | 335 | // old position for time [SR, GSI 17.02.2003] |
336 | Double_t oldX = fX; | |
337 | Double_t oldY = fP0; | |
338 | Double_t oldZ = fP1; | |
339 | // | |
73042f01 | 340 | |
b19a0509 | 341 | Double_t x1=fX, x2=x1+(xk-x1), dx=x2-x1, y1=fP0, z1=fP1; |
b9de75e1 | 342 | Double_t c1=fP4*x1 - fP2, r1=sqrt(1.- c1*c1); |
343 | Double_t c2=fP4*x2 - fP2, r2=sqrt(1.- c2*c2); | |
73042f01 | 344 | |
b19a0509 | 345 | fP0 += dx*(c1+c2)/(r1+r2); |
b9de75e1 | 346 | fP1 += dx*(c1+c2)/(c1*r2 + c2*r1)*fP3; |
73042f01 | 347 | |
348 | //f = F - 1 | |
349 | Double_t rr=r1+r2, cc=c1+c2, xx=x1+x2; | |
b19a0509 | 350 | Double_t f02=-dx*(2*rr + cc*(c1/r1 + c2/r2))/(rr*rr); |
b9de75e1 | 351 | Double_t f04= dx*(rr*xx + cc*(c1*x1/r1+c2*x2/r2))/(rr*rr); |
73042f01 | 352 | Double_t cr=c1*r2+c2*r1; |
b9de75e1 | 353 | Double_t f12=-dx*fP3*(2*cr + cc*(c2*c1/r1-r1 + c1*c2/r2-r2))/(cr*cr); |
354 | Double_t f13= dx*cc/cr; | |
355 | Double_t f14=dx*fP3*(cr*xx-cc*(r1*x2-c2*c1*x1/r1+r2*x1-c1*c2*x2/r2))/(cr*cr); | |
73042f01 | 356 | |
357 | //b = C*ft | |
b9de75e1 | 358 | Double_t b00=f02*fC20 + f04*fC40, b01=f12*fC20 + f14*fC40 + f13*fC30; |
359 | Double_t b10=f02*fC21 + f04*fC41, b11=f12*fC21 + f14*fC41 + f13*fC31; | |
360 | Double_t b20=f02*fC22 + f04*fC42, b21=f12*fC22 + f14*fC42 + f13*fC32; | |
361 | Double_t b30=f02*fC32 + f04*fC43, b31=f12*fC32 + f14*fC43 + f13*fC33; | |
362 | Double_t b40=f02*fC42 + f04*fC44, b41=f12*fC42 + f14*fC44 + f13*fC43; | |
73042f01 | 363 | |
364 | //a = f*b = f*C*ft | |
b9de75e1 | 365 | Double_t a00=f02*b20+f04*b40,a01=f02*b21+f04*b41,a11=f12*b21+f14*b41+f13*b31; |
73042f01 | 366 | |
367 | //F*C*Ft = C + (a + b + bt) | |
b19a0509 | 368 | fC00 += a00 + 2*b00; |
369 | fC10 += a01 + b01 + b10; | |
370 | fC20 += b20; | |
371 | fC30 += b30; | |
372 | fC40 += b40; | |
373 | fC11 += a11 + 2*b11; | |
374 | fC21 += b21; | |
375 | fC31 += b31; | |
376 | fC41 += b41; | |
73042f01 | 377 | |
378 | fX=x2; | |
379 | ||
c84a5e9e | 380 | //Change of the magnetic field ************* |
381 | SaveLocalConvConst(); | |
382 | cc=fP4; | |
383 | fP4*=lcc/GetLocalConvConst(); | |
384 | fP2+=fX*(fP4-cc); | |
385 | ||
386 | //Multiple scattering ****************** | |
b19a0509 | 387 | Double_t d=sqrt((x1-fX)*(x1-fX)+(y1-fP0)*(y1-fP0)+(z1-fP1)*(z1-fP1)); |
be9c5115 | 388 | Double_t p2=(1.+ GetTgl()*GetTgl())/(Get1Pt()*Get1Pt()); |
7f6ddf58 | 389 | Double_t beta2=p2/(p2 + GetMass()*GetMass()); |
babd135a | 390 | beta2 = TMath::Min(beta2,0.99999999999); |
024a7fe9 | 391 | //Double_t theta2=14.1*14.1/(beta2*p2*1e6)*d/x0*rho; |
392 | Double_t theta2=1.0259e-6*10*10/20/(beta2*p2)*d*rho; | |
73042f01 | 393 | |
b9de75e1 | 394 | Double_t ey=fP4*fX - fP2, ez=fP3; |
395 | Double_t xz=fP4*ez, zz1=ez*ez+1, xy=fP2+ey; | |
982aff31 | 396 | |
b19a0509 | 397 | fC22 += (2*ey*ez*ez*fP2+1-ey*ey+ez*ez+fP2*fP2*ez*ez)*theta2; |
b9de75e1 | 398 | fC32 += ez*zz1*xy*theta2; |
399 | fC33 += zz1*zz1*theta2; | |
400 | fC42 += xz*ez*xy*theta2; | |
401 | fC43 += xz*zz1*theta2; | |
402 | fC44 += xz*xz*theta2; | |
982aff31 | 403 | /* |
404 | // | |
e13cc304 | 405 | //MI coeficients |
982aff31 | 406 | Double_t dc22 = (1-ey*ey+xz*xz*fX*fX)*theta2; |
407 | Double_t dc32 = (xz*fX*zz1)*theta2; | |
408 | Double_t dc33 = (zz1*zz1)*theta2; | |
409 | Double_t dc42 = (xz*fX*xz)*theta2; | |
410 | Double_t dc43 = (zz1*xz)*theta2; | |
411 | Double_t dc44 = (xz*xz)*theta2; | |
412 | fC22 += dc22; | |
413 | fC32 += dc32; | |
414 | fC33 += dc33; | |
415 | fC42 += dc42; | |
416 | fC43 += dc43; | |
417 | fC44 += dc44; | |
418 | */ | |
c84a5e9e | 419 | //Energy losses ************************ |
73042f01 | 420 | Double_t dE=0.153e-3/beta2*(log(5940*beta2/(1-beta2)) - beta2)*d*rho; |
421 | if (x1 < x2) dE=-dE; | |
b9de75e1 | 422 | cc=fP4; |
982aff31 | 423 | |
424 | //Double_t E = sqrt(p2+GetMass()*GetMass()); | |
425 | //Double_t mifac = TMath::Sqrt(1.+dE*dE/p2+2*E*dE/p2)-1; | |
426 | //Double_t belfac = E*dE/p2; | |
427 | // | |
7f6ddf58 | 428 | fP4*=(1.- sqrt(p2+GetMass()*GetMass())/p2*dE); |
b9de75e1 | 429 | fP2+=fX*(fP4-cc); |
73042f01 | 430 | |
e3f7105e | 431 | // Integrated Time [SR, GSI, 17.02.2003] |
0fa7dfa7 | 432 | if (x1 < x2) |
433 | if (IsStartedTimeIntegral()) { | |
e3f7105e | 434 | Double_t l2 = (fX-oldX)*(fX-oldX)+(fP0-oldY)*(fP0-oldY)+(fP1-oldZ)*(fP1-oldZ); |
435 | AddTimeStep(TMath::Sqrt(l2)); | |
436 | } | |
437 | // | |
438 | ||
73042f01 | 439 | return 1; |
440 | } | |
441 | ||
442 | //_____________________________________________________________________________ | |
7f6ddf58 | 443 | Int_t AliTPCtrack::PropagateToVertex(Double_t x0,Double_t rho) |
73042f01 | 444 | { |
445 | //----------------------------------------------------------------- | |
446 | // This function propagates tracks to the "vertex". | |
447 | //----------------------------------------------------------------- | |
b9de75e1 | 448 | Double_t c=fP4*fX - fP2; |
449 | Double_t tgf=-fP2/(fP4*fP0 + sqrt(1-c*c)); | |
73042f01 | 450 | Double_t snf=tgf/sqrt(1.+ tgf*tgf); |
b9de75e1 | 451 | Double_t xv=(fP2+snf)/fP4; |
7f6ddf58 | 452 | return PropagateTo(xv,x0,rho); |
73042f01 | 453 | } |
454 | ||
455 | //_____________________________________________________________________________ | |
be9c5115 | 456 | Int_t AliTPCtrack::Update(const AliCluster *c, Double_t chisq, UInt_t index) { |
73042f01 | 457 | //----------------------------------------------------------------- |
458 | // This function associates a cluster with this track. | |
459 | //----------------------------------------------------------------- | |
460 | Double_t r00=c->GetSigmaY2(), r01=0., r11=c->GetSigmaZ2(); | |
b19a0509 | 461 | r00+=fC00; r01+=fC10; r11+=fC11; |
73042f01 | 462 | Double_t det=r00*r11 - r01*r01; |
463 | Double_t tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det; | |
464 | ||
b19a0509 | 465 | Double_t k00=fC00*r00+fC10*r01, k01=fC00*r01+fC10*r11; |
466 | Double_t k10=fC10*r00+fC11*r01, k11=fC10*r01+fC11*r11; | |
467 | Double_t k20=fC20*r00+fC21*r01, k21=fC20*r01+fC21*r11; | |
468 | Double_t k30=fC30*r00+fC31*r01, k31=fC30*r01+fC31*r11; | |
469 | Double_t k40=fC40*r00+fC41*r01, k41=fC40*r01+fC41*r11; | |
73042f01 | 470 | |
b19a0509 | 471 | Double_t dy=c->GetY() - fP0, dz=c->GetZ() - fP1; |
b9de75e1 | 472 | Double_t cur=fP4 + k40*dy + k41*dz, eta=fP2 + k20*dy + k21*dz; |
3f82c4f2 | 473 | if (TMath::Abs(cur*fX-eta) >= AliTPCReconstructor::GetMaxSnpTrack()) { |
1627d1c4 | 474 | // Int_t n=GetNumberOfClusters(); |
475 | //if (n>4) cerr<<n<<" AliTPCtrack warning: Filtering failed !\n"; | |
be9c5115 | 476 | return 0; |
73042f01 | 477 | } |
478 | ||
b19a0509 | 479 | fP0 += k00*dy + k01*dz; |
480 | fP1 += k10*dy + k11*dz; | |
481 | fP2 = eta; | |
b9de75e1 | 482 | fP3 += k30*dy + k31*dz; |
483 | fP4 = cur; | |
73042f01 | 484 | |
b19a0509 | 485 | Double_t c01=fC10, c02=fC20, c03=fC30, c04=fC40; |
486 | Double_t c12=fC21, c13=fC31, c14=fC41; | |
73042f01 | 487 | |
b19a0509 | 488 | fC00-=k00*fC00+k01*fC10; fC10-=k00*c01+k01*fC11; |
489 | fC20-=k00*c02+k01*c12; fC30-=k00*c03+k01*c13; | |
490 | fC40-=k00*c04+k01*c14; | |
73042f01 | 491 | |
b19a0509 | 492 | fC11-=k10*c01+k11*fC11; |
493 | fC21-=k10*c02+k11*c12; fC31-=k10*c03+k11*c13; | |
494 | fC41-=k10*c04+k11*c14; | |
73042f01 | 495 | |
b19a0509 | 496 | fC22-=k20*c02+k21*c12; fC32-=k20*c03+k21*c13; |
497 | fC42-=k20*c04+k21*c14; | |
73042f01 | 498 | |
b19a0509 | 499 | fC33-=k30*c03+k31*c13; |
b9de75e1 | 500 | fC43-=k40*c03+k41*c13; |
73042f01 | 501 | |
b19a0509 | 502 | fC44-=k40*c04+k41*c14; |
73042f01 | 503 | |
be9c5115 | 504 | Int_t n=GetNumberOfClusters(); |
505 | fIndex[n]=index; | |
506 | SetNumberOfClusters(n+1); | |
507 | SetChi2(GetChi2()+chisq); | |
508 | ||
509 | return 1; | |
73042f01 | 510 | } |
511 | ||
512 | //_____________________________________________________________________________ | |
513 | Int_t AliTPCtrack::Rotate(Double_t alpha) | |
514 | { | |
515 | //----------------------------------------------------------------- | |
516 | // This function rotates this track. | |
517 | //----------------------------------------------------------------- | |
518 | fAlpha += alpha; | |
be9c5115 | 519 | if (fAlpha<-TMath::Pi()) fAlpha += 2*TMath::Pi(); |
520 | if (fAlpha>=TMath::Pi()) fAlpha -= 2*TMath::Pi(); | |
73042f01 | 521 | |
b19a0509 | 522 | Double_t x1=fX, y1=fP0; |
73042f01 | 523 | Double_t ca=cos(alpha), sa=sin(alpha); |
b9de75e1 | 524 | Double_t r1=fP4*fX - fP2; |
73042f01 | 525 | |
3f82c4f2 | 526 | if (TMath::Abs(r1)>=AliTPCReconstructor::GetMaxSnpTrack()) return 0; //patch 01 jan 06 |
ded9046d | 527 | |
73042f01 | 528 | fX = x1*ca + y1*sa; |
b19a0509 | 529 | fP0=-x1*sa + y1*ca; |
b9de75e1 | 530 | fP2=fP2*ca + (fP4*y1 + sqrt(1.- r1*r1))*sa; |
73042f01 | 531 | |
b9de75e1 | 532 | Double_t r2=fP4*fX - fP2; |
3f82c4f2 | 533 | if (TMath::Abs(r2) >= AliTPCReconstructor::GetMaxSnpTrack()) { |
534 | //Int_t n=GetNumberOfClusters(); | |
535 | // if (n>4) cerr<<n<<" AliTPCtrack warning: Rotation failed !\n"; | |
73042f01 | 536 | return 0; |
537 | } | |
538 | ||
b9de75e1 | 539 | Double_t y0=fP0 + sqrt(1.- r2*r2)/fP4; |
540 | if ((fP0-y0)*fP4 >= 0.) { | |
3f82c4f2 | 541 | //Int_t n=GetNumberOfClusters(); |
542 | // if (n>4) cerr<<n<<" AliTPCtrack warning: Rotation failed !!!\n"; | |
73042f01 | 543 | return 0; |
544 | } | |
545 | ||
546 | //f = F - 1 | |
b9de75e1 | 547 | Double_t f00=ca-1, f24=(y1 - r1*x1/sqrt(1.- r1*r1))*sa, |
548 | f20=fP4*sa, f22=(ca + sa*r1/sqrt(1.- r1*r1))-1; | |
73042f01 | 549 | |
550 | //b = C*ft | |
b9de75e1 | 551 | Double_t b00=fC00*f00, b02=fC00*f20+fC40*f24+fC20*f22; |
552 | Double_t b10=fC10*f00, b12=fC10*f20+fC41*f24+fC21*f22; | |
553 | Double_t b20=fC20*f00, b22=fC20*f20+fC42*f24+fC22*f22; | |
554 | Double_t b30=fC30*f00, b32=fC30*f20+fC43*f24+fC32*f22; | |
555 | Double_t b40=fC40*f00, b42=fC40*f20+fC44*f24+fC42*f22; | |
73042f01 | 556 | |
557 | //a = f*b = f*C*ft | |
b9de75e1 | 558 | Double_t a00=f00*b00, a02=f00*b02, a22=f20*b02+f24*b42+f22*b22; |
73042f01 | 559 | |
560 | // *** Double_t dy2=fCyy; | |
561 | ||
562 | //F*C*Ft = C + (a + b + bt) | |
b19a0509 | 563 | fC00 += a00 + 2*b00; |
564 | fC10 += b10; | |
565 | fC20 += a02+b20+b02; | |
566 | fC30 += b30; | |
567 | fC40 += b40; | |
568 | fC21 += b12; | |
569 | fC32 += b32; | |
570 | fC22 += a22 + 2*b22; | |
571 | fC42 += b42; | |
73042f01 | 572 | |
573 | // *** fCyy+=dy2*sa*sa*r1*r1/(1.- r1*r1); | |
574 | // *** fCzz+=d2y*sa*sa*fT*fT/(1.- r1*r1); | |
575 | ||
576 | return 1; | |
577 | } | |
578 | ||
b9de75e1 | 579 | void AliTPCtrack::ResetCovariance() { |
580 | //------------------------------------------------------------------ | |
581 | //This function makes a track forget its history :) | |
582 | //------------------------------------------------------------------ | |
583 | ||
584 | fC00*=10.; | |
585 | fC10=0.; fC11*=10.; | |
586 | fC20=0.; fC21=0.; fC22*=10.; | |
587 | fC30=0.; fC31=0.; fC32=0.; fC33*=10.; | |
588 | fC40=0.; fC41=0.; fC42=0.; fC43=0.; fC44*=10.; | |
589 | ||
73042f01 | 590 | } |
77e58468 | 591 | |
592 | //////////////////////////////////////////////////////////////////////// | |
593 | Double_t AliTPCtrack::Phi() const { | |
7c27857f | 594 | // |
595 | // | |
596 | // | |
77e58468 | 597 | Double_t phi = TMath::ASin(GetSnp()) + fAlpha; |
598 | if (phi<0) phi+=2*TMath::Pi(); | |
599 | if (phi>=2*TMath::Pi()) phi-=2*TMath::Pi(); | |
600 | return phi; | |
601 | } | |
602 | //////////////////////////////////////////////////////////////////////// | |
603 | ||
51584047 | 604 | |
605 | ||
606 | //////////////////////////////////////////////////////////////////////// | |
607 | // MI ADDITION | |
608 | ||
609 | Float_t AliTPCtrack::Density(Int_t row0, Int_t row1) | |
610 | { | |
611 | // | |
612 | // calculate cluster density | |
613 | Int_t good = 0; | |
614 | Int_t found = 0; | |
615 | //if (row0<fFirstPoint) row0 = fFirstPoint; | |
616 | if (row1>fLastPoint) row1 = fLastPoint; | |
617 | ||
618 | ||
619 | for (Int_t i=row0;i<=row1;i++){ | |
620 | // Int_t index = fClusterIndex[i]; | |
621 | Int_t index = fIndex[i]; | |
622 | if (index!=-1) good++; | |
623 | if (index>0) found++; | |
624 | } | |
625 | Float_t density=0; | |
626 | if (good>0) density = Float_t(found)/Float_t(good); | |
627 | return density; | |
628 | } | |
629 | ||
630 | ||
631 | Float_t AliTPCtrack::Density2(Int_t row0, Int_t row1) | |
632 | { | |
633 | // | |
634 | // calculate cluster density | |
635 | Int_t good = 0; | |
636 | Int_t found = 0; | |
637 | // | |
638 | for (Int_t i=row0;i<=row1;i++){ | |
639 | Int_t index = fIndex[i]; | |
640 | if (index!=-1) good++; | |
641 | if (index>0) found++; | |
642 | } | |
643 | Float_t density=0; | |
644 | if (good>0) density = Float_t(found)/Float_t(good); | |
645 | return density; | |
646 | } | |
647 | ||
648 | ||
649 | Double_t AliTPCtrack::GetZat0() const | |
650 | { | |
651 | // | |
652 | // return virtual z - supposing that x = 0 | |
653 | if (TMath::Abs(fP2)>1) return 0; | |
654 | if (TMath::Abs(fX*fP4-fP2)>1) return 0; | |
655 | Double_t vz = fP1+fP3/fP4*(asin(-fP2)-asin(fX*fP4-fP2)); | |
656 | return vz; | |
657 | } | |
658 | ||
659 | ||
660 | Double_t AliTPCtrack::GetD(Double_t x, Double_t y) const { | |
661 | //------------------------------------------------------------------ | |
662 | // This function calculates the transverse impact parameter | |
663 | // with respect to a point with global coordinates (x,y) | |
664 | //------------------------------------------------------------------ | |
665 | //Double_t xt=fX, yt=fP0; | |
666 | ||
667 | Double_t sn=TMath::Sin(fAlpha), cs=TMath::Cos(fAlpha); | |
668 | Double_t a = x*cs + y*sn; | |
669 | y = -x*sn + y*cs; x=a; | |
670 | // | |
671 | Double_t r = TMath::Abs(1/fP4); | |
672 | Double_t x0 = TMath::Abs(fP2*r); | |
673 | Double_t y0 = fP0; | |
674 | y0= fP0+TMath::Sqrt(1-(fP4*fX-fP2)*(fP4*fX-fP2))/fP4; | |
675 | ||
676 | Double_t delta = TMath::Sqrt((x-x0)*(x-x0)+(y-y0)*(y-y0)); | |
677 | // Double_t delta = TMath::Sqrt(TMath::Abs(x*x-2*x0*x+x0*x0+ y*y-2*y*y0+y0*y0)); | |
678 | delta -= TMath::Abs(r); | |
679 | return delta; | |
680 | } | |
51ad6848 | 681 | |
682 | // | |
683 | // | |
684 | ||
685 | void AliTPCtrack::UpdatePoints() | |
686 | { | |
687 | //-------------------------------------------------- | |
688 | //calculates first ,amx dens and last points | |
689 | //-------------------------------------------------- | |
690 | Float_t density[160]; | |
691 | for (Int_t i=0;i<160;i++) density[i]=-1.; | |
692 | fPoints[0]= 160; | |
693 | fPoints[1] = -1; | |
694 | // | |
695 | Int_t ngood=0; | |
696 | Int_t undeff=0; | |
697 | Int_t nall =0; | |
698 | Int_t range=20; | |
699 | for (Int_t i=0;i<160;i++){ | |
700 | Int_t last = i-range; | |
701 | if (nall<range) nall++; | |
702 | if (last>=0){ | |
703 | if (fIndex[last]>0&& (fIndex[last]&0x8000)==0) ngood--; | |
704 | if (fIndex[last]==-1) undeff--; | |
705 | } | |
706 | if (fIndex[i]>0&& (fIndex[i]&0x8000)==0) ngood++; | |
707 | if (fIndex[i]==-1) undeff++; | |
708 | if (nall==range &&undeff<range/2) density[i-range/2] = Float_t(ngood)/Float_t(nall-undeff); | |
709 | } | |
710 | Float_t maxdens=0; | |
711 | Int_t indexmax =0; | |
712 | for (Int_t i=0;i<160;i++){ | |
713 | if (density[i]<0) continue; | |
714 | if (density[i]>maxdens){ | |
715 | maxdens=density[i]; | |
716 | indexmax=i; | |
717 | } | |
718 | } | |
719 | // | |
720 | //max dens point | |
721 | fPoints[3] = maxdens; | |
722 | fPoints[1] = indexmax; | |
723 | // | |
724 | // last point | |
725 | for (Int_t i=indexmax;i<160;i++){ | |
726 | if (density[i]<0) continue; | |
727 | if (density[i]<maxdens/2.) { | |
728 | break; | |
729 | } | |
730 | fPoints[2]=i; | |
731 | } | |
732 | // | |
733 | // first point | |
734 | for (Int_t i=indexmax;i>0;i--){ | |
735 | if (density[i]<0) continue; | |
736 | if (density[i]<maxdens/2.) { | |
737 | break; | |
738 | } | |
739 | fPoints[0]=i; | |
740 | } | |
741 | // | |
742 | } |