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006b5f7f | 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 | // Implementation of the ITS track class | |
18 | // | |
19 | // Origin: Iouri Belikov, CERN, Jouri.Belikov@cern.ch | |
a9a2d814 | 20 | // dEdx analysis by: Boris Batyunya, JINR, Boris.Batiounia@cern.ch |
006b5f7f | 21 | //------------------------------------------------------------------------- |
22 | ||
23 | #include <TMatrixD.h> | |
24 | ||
25 | #include <TMath.h> | |
006b5f7f | 26 | |
27 | #include "AliCluster.h" | |
517b130f | 28 | #include "AliTPCtrack.h" |
83d73500 | 29 | #include "AliESDtrack.h" |
006b5f7f | 30 | #include "AliITStrackV2.h" |
31 | ||
32 | ClassImp(AliITStrackV2) | |
33 | ||
7f6ddf58 | 34 | const Int_t kWARN=5; |
8676d691 | 35 | |
22b13da0 | 36 | //____________________________________________________________________________ |
e6ba4672 | 37 | AliITStrackV2::AliITStrackV2():AliKalmanTrack(), |
22b13da0 | 38 | fX(0), |
39 | fAlpha(0), | |
40 | fdEdx(0), | |
41 | fP0(0), | |
42 | fP1(0), | |
43 | fP2(0), | |
44 | fP3(0), | |
45 | fP4(0), | |
46 | fC00(0), | |
47 | fC10(0), | |
48 | fC11(0), | |
49 | fC20(0), | |
50 | fC21(0), | |
51 | fC22(0), | |
52 | fC30(0), | |
53 | fC31(0), | |
54 | fC32(0), | |
55 | fC33(0), | |
56 | fC40(0), | |
57 | fC41(0), | |
58 | fC42(0), | |
59 | fC43(0), | |
83d73500 | 60 | fC44(0), |
61 | fESDtrack(0) | |
e6ba4672 | 62 | { |
22b13da0 | 63 | for(Int_t i=0; i<kMaxLayer; i++) fIndex[i]=0; |
64 | for(Int_t i=0; i<4; i++) fdEdxSample[i]=0; | |
65 | } | |
83d73500 | 66 | |
006b5f7f | 67 | //____________________________________________________________________________ |
e1a65e92 | 68 | AliITStrackV2::AliITStrackV2(const AliTPCtrack& t) throw (const Char_t *) : |
69 | AliKalmanTrack(t) { | |
006b5f7f | 70 | //------------------------------------------------------------------ |
9b280d80 | 71 | //Conversion TPC track -> ITS track |
006b5f7f | 72 | //------------------------------------------------------------------ |
006b5f7f | 73 | SetChi2(0.); |
74 | SetNumberOfClusters(0); | |
14825d5a | 75 | |
7f6ddf58 | 76 | fdEdx = t.GetdEdx(); |
77 | SetMass(t.GetMass()); | |
78 | ||
006b5f7f | 79 | fAlpha = t.GetAlpha(); |
80 | if (fAlpha < -TMath::Pi()) fAlpha += 2*TMath::Pi(); | |
81 | else if (fAlpha >= TMath::Pi()) fAlpha -= 2*TMath::Pi(); | |
82 | ||
83d73500 | 83 | //Conversion of the track parameters |
84 | Double_t x,p[5]; t.GetExternalParameters(x,p); | |
85 | fX=x; x=GetConvConst(); | |
86 | fP0=p[0]; | |
87 | fP1=p[1]; | |
88 | fP2=p[2]; | |
89 | fP3=p[3]; | |
90 | fP4=p[4]/x; | |
91 | ||
92 | //Conversion of the covariance matrix | |
93 | Double_t c[15]; t.GetExternalCovariance(c); | |
94 | ||
95 | fC00=c[0 ]; | |
96 | fC10=c[1 ]; fC11=c[2 ]; | |
97 | fC20=c[3 ]; fC21=c[4 ]; fC22=c[5 ]; | |
98 | fC30=c[6 ]; fC31=c[7 ]; fC32=c[8 ]; fC33=c[9 ]; | |
99 | fC40=c[10]/x; fC41=c[11]/x; fC42=c[12]/x; fC43=c[13]/x; fC44=c[14]/x/x; | |
100 | ||
101 | if (!Invariant()) throw "AliITStrackV2: conversion failed !\n"; | |
102 | ||
103 | } | |
104 | ||
105 | //____________________________________________________________________________ | |
67c3dcbe | 106 | AliITStrackV2::AliITStrackV2(AliESDtrack& t,Bool_t c) throw (const Char_t *) : |
83d73500 | 107 | AliKalmanTrack() { |
108 | //------------------------------------------------------------------ | |
67c3dcbe | 109 | // Conversion ESD track -> ITS track. |
110 | // If c==kTRUE, create the ITS track out of the constrained params. | |
83d73500 | 111 | //------------------------------------------------------------------ |
112 | SetNumberOfClusters(t.GetITSclusters(fIndex)); | |
113 | SetLabel(t.GetLabel()); | |
114 | SetMass(t.GetMass()); | |
115 | ||
116 | fdEdx=t.GetITSsignal(); | |
117 | fAlpha = t.GetAlpha(); | |
118 | if (fAlpha < -TMath::Pi()) fAlpha += 2*TMath::Pi(); | |
119 | else if (fAlpha >= TMath::Pi()) fAlpha -= 2*TMath::Pi(); | |
120 | ||
9b280d80 | 121 | //Conversion of the track parameters |
67c3dcbe | 122 | Double_t x,p[5]; |
123 | if (c) t.GetConstrainedExternalParameters(x,p); | |
124 | else t.GetExternalParameters(x,p); | |
9b280d80 | 125 | fX=x; x=GetConvConst(); |
006b5f7f | 126 | fP0=p[0]; |
127 | fP1=p[1]; | |
128 | fP2=p[2]; | |
129 | fP3=p[3]; | |
130 | fP4=p[4]/x; | |
131 | ||
9b280d80 | 132 | //Conversion of the covariance matrix |
67c3dcbe | 133 | Double_t cv[15]; |
134 | if (c) t.GetConstrainedExternalCovariance(cv); | |
135 | else t.GetExternalCovariance(cv); | |
136 | fC00=cv[0 ]; | |
137 | fC10=cv[1 ]; fC11=cv[2 ]; | |
138 | fC20=cv[3 ]; fC21=cv[4 ]; fC22=cv[5 ]; | |
139 | fC30=cv[6 ]; fC31=cv[7 ]; fC32=cv[8 ]; fC33=cv[9 ]; | |
140 | fC40=cv[10]/x; fC41=cv[11]/x; fC42=cv[12]/x; fC43=cv[13]/x; fC44=cv[14]/x/x; | |
006b5f7f | 141 | |
83d73500 | 142 | if (t.GetStatus()&AliESDtrack::kTIME) { |
143 | StartTimeIntegral(); | |
144 | Double_t times[10]; t.GetIntegratedTimes(times); SetIntegratedTimes(times); | |
145 | SetIntegratedLength(t.GetIntegratedLength()); | |
146 | } | |
147 | fESDtrack=&t; | |
148 | ||
0aa211b1 | 149 | //if (!Invariant()) throw "AliITStrackV2: conversion failed !\n"; |
649ab0de | 150 | |
006b5f7f | 151 | } |
152 | ||
83d73500 | 153 | void AliITStrackV2::UpdateESDtrack(ULong_t flags) { |
154 | fESDtrack->UpdateTrackParams(this,flags); | |
155 | } | |
67c3dcbe | 156 | void AliITStrackV2::SetConstrainedESDtrack(Double_t chi2) { |
157 | fESDtrack->SetConstrainedTrackParams(this,chi2); | |
158 | } | |
83d73500 | 159 | |
006b5f7f | 160 | //____________________________________________________________________________ |
161 | AliITStrackV2::AliITStrackV2(const AliITStrackV2& t) : AliKalmanTrack(t) { | |
162 | //------------------------------------------------------------------ | |
163 | //Copy constructor | |
164 | //------------------------------------------------------------------ | |
165 | fX=t.fX; | |
166 | fAlpha=t.fAlpha; | |
167 | fdEdx=t.fdEdx; | |
168 | ||
169 | fP0=t.fP0; fP1=t.fP1; fP2=t.fP2; fP3=t.fP3; fP4=t.fP4; | |
170 | ||
171 | fC00=t.fC00; | |
172 | fC10=t.fC10; fC11=t.fC11; | |
173 | fC20=t.fC20; fC21=t.fC21; fC22=t.fC22; | |
174 | fC30=t.fC30; fC31=t.fC31; fC32=t.fC32; fC33=t.fC33; | |
175 | fC40=t.fC40; fC41=t.fC41; fC42=t.fC42; fC43=t.fC43; fC44=t.fC44; | |
176 | ||
177 | Int_t n=GetNumberOfClusters(); | |
23efe5f1 | 178 | for (Int_t i=0; i<n; i++) { |
a9a2d814 | 179 | fIndex[i]=t.fIndex[i]; |
180 | if (i<4) fdEdxSample[i]=t.fdEdxSample[i]; | |
23efe5f1 | 181 | } |
83d73500 | 182 | fESDtrack=t.fESDtrack; |
006b5f7f | 183 | } |
a9a2d814 | 184 | |
006b5f7f | 185 | //_____________________________________________________________________________ |
186 | Int_t AliITStrackV2::Compare(const TObject *o) const { | |
187 | //----------------------------------------------------------------- | |
188 | // This function compares tracks according to the their curvature | |
189 | //----------------------------------------------------------------- | |
7f6ddf58 | 190 | AliITStrackV2 *t=(AliITStrackV2*)o; |
a9a2d814 | 191 | //Double_t co=TMath::Abs(t->Get1Pt()); |
192 | //Double_t c =TMath::Abs(Get1Pt()); | |
193 | Double_t co=t->GetSigmaY2()*t->GetSigmaZ2(); | |
194 | Double_t c =GetSigmaY2()*GetSigmaZ2(); | |
006b5f7f | 195 | if (c>co) return 1; |
196 | else if (c<co) return -1; | |
197 | return 0; | |
198 | } | |
199 | ||
200 | //_____________________________________________________________________________ | |
201 | void AliITStrackV2::GetExternalCovariance(Double_t cc[15]) const { | |
202 | //------------------------------------------------------------------------- | |
203 | // This function returns an external representation of the covriance matrix. | |
204 | // (See comments in AliTPCtrack.h about external track representation) | |
205 | //------------------------------------------------------------------------- | |
9b280d80 | 206 | Double_t a=GetConvConst(); |
006b5f7f | 207 | |
208 | cc[0 ]=fC00; | |
209 | cc[1 ]=fC10; cc[2 ]=fC11; | |
210 | cc[3 ]=fC20; cc[4 ]=fC21; cc[5 ]=fC22; | |
211 | cc[6 ]=fC30; cc[7 ]=fC31; cc[8 ]=fC32; cc[9 ]=fC33; | |
212 | cc[10]=fC40*a; cc[11]=fC41*a; cc[12]=fC42*a; cc[13]=fC43*a; cc[14]=fC44*a*a; | |
213 | } | |
214 | ||
215 | //____________________________________________________________________________ | |
a9a2d814 | 216 | Int_t AliITStrackV2::PropagateToVertex(Double_t d,Double_t x0) { |
006b5f7f | 217 | //------------------------------------------------------------------ |
218 | //This function propagates a track to the minimal distance from the origin | |
219 | //------------------------------------------------------------------ | |
5b316485 | 220 | //Double_t xv=fP2*(fX*fP2 - fP0*TMath::Sqrt(1.- fP2*fP2)); //linear approxim. |
221 | Double_t tgf=-(fP4*fX - fP2)/(fP4*fP0 + TMath::Sqrt(1 - fP2*fP2)); | |
222 | Double_t snf=tgf/TMath::Sqrt(1.+ tgf*tgf); | |
223 | Double_t xv=(snf - fP2)/fP4 + fX; | |
224 | return PropagateTo(xv,d,x0); | |
006b5f7f | 225 | } |
226 | ||
227 | //____________________________________________________________________________ | |
228 | Int_t AliITStrackV2:: | |
229 | GetGlobalXYZat(Double_t xk, Double_t &x, Double_t &y, Double_t &z) const { | |
230 | //------------------------------------------------------------------ | |
231 | //This function returns a track position in the global system | |
232 | //------------------------------------------------------------------ | |
233 | Double_t dx=xk-fX; | |
234 | Double_t f1=fP2, f2=f1 + fP4*dx; | |
a9a2d814 | 235 | if (TMath::Abs(f2) >= 0.9999) { |
7f6ddf58 | 236 | Int_t n=GetNumberOfClusters(); |
237 | if (n>kWARN) | |
8676d691 | 238 | Warning("GetGlobalXYZat","Propagation failed (%d) !\n",n); |
006b5f7f | 239 | return 0; |
240 | } | |
241 | ||
242 | Double_t r1=sqrt(1.- f1*f1), r2=sqrt(1.- f2*f2); | |
243 | ||
244 | Double_t yk = fP0 + dx*(f1+f2)/(r1+r2); | |
245 | Double_t zk = fP1 + dx*(f1+f2)/(f1*r2 + f2*r1)*fP3; | |
246 | ||
247 | Double_t cs=TMath::Cos(fAlpha), sn=TMath::Sin(fAlpha); | |
248 | x = xk*cs - yk*sn; | |
249 | y = xk*sn + yk*cs; | |
250 | z = zk; | |
251 | ||
252 | return 1; | |
253 | } | |
254 | ||
255 | //_____________________________________________________________________________ | |
256 | Double_t AliITStrackV2::GetPredictedChi2(const AliCluster *c) const | |
257 | { | |
258 | //----------------------------------------------------------------- | |
259 | // This function calculates a predicted chi2 increment. | |
260 | //----------------------------------------------------------------- | |
261 | Double_t r00=c->GetSigmaY2(), r01=0., r11=c->GetSigmaZ2(); | |
262 | r00+=fC00; r01+=fC10; r11+=fC11; | |
263 | ||
264 | Double_t det=r00*r11 - r01*r01; | |
7f6ddf58 | 265 | if (TMath::Abs(det) < 1.e-30) { |
006b5f7f | 266 | Int_t n=GetNumberOfClusters(); |
7f6ddf58 | 267 | if (n>kWARN) |
8676d691 | 268 | Warning("GetPredictedChi2","Singular matrix (%d) !\n",n); |
006b5f7f | 269 | return 1e10; |
270 | } | |
271 | Double_t tmp=r00; r00=r11; r11=tmp; r01=-r01; | |
33329428 | 272 | |
006b5f7f | 273 | Double_t dy=c->GetY() - fP0, dz=c->GetZ() - fP1; |
33329428 | 274 | |
006b5f7f | 275 | return (dy*r00*dy + 2*r01*dy*dz + dz*r11*dz)/det; |
276 | } | |
277 | ||
006b5f7f | 278 | //____________________________________________________________________________ |
a9a2d814 | 279 | Int_t AliITStrackV2::CorrectForMaterial(Double_t d, Double_t x0) { |
280 | //------------------------------------------------------------------ | |
281 | //This function corrects the track parameters for crossed material | |
282 | //------------------------------------------------------------------ | |
283 | Double_t p2=(1.+ GetTgl()*GetTgl())/(Get1Pt()*Get1Pt()); | |
284 | Double_t beta2=p2/(p2 + GetMass()*GetMass()); | |
285 | d*=TMath::Sqrt((1.+ fP3*fP3)/(1.- fP2*fP2)); | |
286 | ||
287 | //Multiple scattering****************** | |
288 | if (d!=0) { | |
33329428 | 289 | Double_t theta2=14.1*14.1/(beta2*p2*1e6)*TMath::Abs(d); |
290 | //Double_t theta2=1.0259e-6*14*14/28/(beta2*p2)*TMath::Abs(d)*9.36*2.33; | |
a9a2d814 | 291 | fC22 += theta2*(1.- fP2*fP2)*(1. + fP3*fP3); |
292 | fC33 += theta2*(1. + fP3*fP3)*(1. + fP3*fP3); | |
293 | fC43 += theta2*fP3*fP4*(1. + fP3*fP3); | |
294 | fC44 += theta2*fP3*fP4*fP3*fP4; | |
295 | } | |
296 | ||
297 | //Energy losses************************ | |
298 | if (x0!=0.) { | |
299 | d*=x0; | |
300 | Double_t dE=0.153e-3/beta2*(log(5940*beta2/(1-beta2)) - beta2)*d; | |
83d73500 | 301 | if (beta2/(1-beta2)>3.5*3.5) |
302 | dE=0.153e-3/beta2*(log(3.5*5940)+0.5*log(beta2/(1-beta2)) - beta2)*d; | |
a9a2d814 | 303 | fP4*=(1.- sqrt(p2+GetMass()*GetMass())/p2*dE); |
304 | } | |
305 | ||
306 | if (!Invariant()) return 0; | |
307 | ||
308 | return 1; | |
309 | } | |
310 | ||
311 | //____________________________________________________________________________ | |
312 | Int_t AliITStrackV2::PropagateTo(Double_t xk, Double_t d, Double_t x0) { | |
006b5f7f | 313 | //------------------------------------------------------------------ |
314 | //This function propagates a track | |
315 | //------------------------------------------------------------------ | |
316 | Double_t x1=fX, x2=xk, dx=x2-x1; | |
317 | Double_t f1=fP2, f2=f1 + fP4*dx; | |
a9a2d814 | 318 | if (TMath::Abs(f2) >= 0.9999) { |
006b5f7f | 319 | Int_t n=GetNumberOfClusters(); |
7f6ddf58 | 320 | if (n>kWARN) |
8676d691 | 321 | Warning("PropagateTo","Propagation failed !\n",n); |
006b5f7f | 322 | return 0; |
323 | } | |
324 | ||
f29dbb4b | 325 | // old position [SR, GSI, 17.02.2003] |
326 | Double_t oldX = fX, oldY = fP0, oldZ = fP1; | |
327 | ||
006b5f7f | 328 | Double_t r1=sqrt(1.- f1*f1), r2=sqrt(1.- f2*f2); |
329 | ||
330 | fP0 += dx*(f1+f2)/(r1+r2); | |
331 | fP1 += dx*(f1+f2)/(f1*r2 + f2*r1)*fP3; | |
332 | fP2 += dx*fP4; | |
333 | ||
334 | //f = F - 1 | |
335 | ||
336 | Double_t f02= dx/(r1*r1*r1); | |
337 | Double_t f04=0.5*dx*dx/(r1*r1*r1); | |
338 | Double_t f12= dx*fP3*f1/(r1*r1*r1); | |
339 | Double_t f14=0.5*dx*dx*fP3*f1/(r1*r1*r1); | |
340 | Double_t f13= dx/r1; | |
341 | Double_t f24= dx; | |
342 | ||
343 | //b = C*ft | |
344 | Double_t b00=f02*fC20 + f04*fC40, b01=f12*fC20 + f14*fC40 + f13*fC30; | |
345 | Double_t b02=f24*fC40; | |
346 | Double_t b10=f02*fC21 + f04*fC41, b11=f12*fC21 + f14*fC41 + f13*fC31; | |
347 | Double_t b12=f24*fC41; | |
348 | Double_t b20=f02*fC22 + f04*fC42, b21=f12*fC22 + f14*fC42 + f13*fC32; | |
349 | Double_t b22=f24*fC42; | |
350 | Double_t b40=f02*fC42 + f04*fC44, b41=f12*fC42 + f14*fC44 + f13*fC43; | |
351 | Double_t b42=f24*fC44; | |
352 | Double_t b30=f02*fC32 + f04*fC43, b31=f12*fC32 + f14*fC43 + f13*fC33; | |
353 | Double_t b32=f24*fC43; | |
354 | ||
355 | //a = f*b = f*C*ft | |
356 | Double_t a00=f02*b20+f04*b40,a01=f02*b21+f04*b41,a02=f02*b22+f04*b42; | |
357 | Double_t a11=f12*b21+f14*b41+f13*b31,a12=f12*b22+f14*b42+f13*b32; | |
358 | Double_t a22=f24*b42; | |
359 | ||
360 | //F*C*Ft = C + (b + bt + a) | |
361 | fC00 += b00 + b00 + a00; | |
362 | fC10 += b10 + b01 + a01; | |
363 | fC20 += b20 + b02 + a02; | |
364 | fC30 += b30; | |
365 | fC40 += b40; | |
366 | fC11 += b11 + b11 + a11; | |
367 | fC21 += b21 + b12 + a12; | |
368 | fC31 += b31; | |
369 | fC41 += b41; | |
370 | fC22 += b22 + b22 + a22; | |
371 | fC32 += b32; | |
372 | fC42 += b42; | |
373 | ||
374 | fX=x2; | |
375 | ||
a9a2d814 | 376 | if (!CorrectForMaterial(d,x0)) return 0; |
006b5f7f | 377 | |
f29dbb4b | 378 | // Integrated Time [SR, GSI, 17.02.2003] |
880f41b9 | 379 | if (IsStartedTimeIntegral() && fX>oldX) { |
8676d691 | 380 | Double_t l2 = (fX-oldX)*(fX-oldX)+(fP0-oldY)*(fP0-oldY)+ |
381 | (fP1-oldZ)*(fP1-oldZ); | |
f29dbb4b | 382 | AddTimeStep(TMath::Sqrt(l2)); |
383 | } | |
384 | // | |
385 | ||
006b5f7f | 386 | return 1; |
387 | } | |
388 | ||
389 | //____________________________________________________________________________ | |
390 | Int_t AliITStrackV2::Update(const AliCluster* c, Double_t chi2, UInt_t index) { | |
391 | //------------------------------------------------------------------ | |
392 | //This function updates track parameters | |
393 | //------------------------------------------------------------------ | |
394 | Double_t p0=fP0,p1=fP1,p2=fP2,p3=fP3,p4=fP4; | |
395 | Double_t c00=fC00; | |
396 | Double_t c10=fC10, c11=fC11; | |
397 | Double_t c20=fC20, c21=fC21, c22=fC22; | |
398 | Double_t c30=fC30, c31=fC31, c32=fC32, c33=fC33; | |
399 | Double_t c40=fC40, c41=fC41, c42=fC42, c43=fC43, c44=fC44; | |
400 | ||
401 | ||
402 | Double_t r00=c->GetSigmaY2(), r01=0., r11=c->GetSigmaZ2(); | |
403 | r00+=fC00; r01+=fC10; r11+=fC11; | |
404 | Double_t det=r00*r11 - r01*r01; | |
405 | Double_t tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det; | |
406 | ||
407 | Double_t k00=fC00*r00+fC10*r01, k01=fC00*r01+fC10*r11; | |
408 | Double_t k10=fC10*r00+fC11*r01, k11=fC10*r01+fC11*r11; | |
409 | Double_t k20=fC20*r00+fC21*r01, k21=fC20*r01+fC21*r11; | |
410 | Double_t k30=fC30*r00+fC31*r01, k31=fC30*r01+fC31*r11; | |
411 | Double_t k40=fC40*r00+fC41*r01, k41=fC40*r01+fC41*r11; | |
412 | ||
413 | Double_t dy=c->GetY() - fP0, dz=c->GetZ() - fP1; | |
414 | Double_t sf=fP2 + k20*dy + k21*dz; | |
7f6ddf58 | 415 | |
006b5f7f | 416 | fP0 += k00*dy + k01*dz; |
417 | fP1 += k10*dy + k11*dz; | |
418 | fP2 = sf; | |
419 | fP3 += k30*dy + k31*dz; | |
420 | fP4 += k40*dy + k41*dz; | |
421 | ||
422 | Double_t c01=fC10, c02=fC20, c03=fC30, c04=fC40; | |
423 | Double_t c12=fC21, c13=fC31, c14=fC41; | |
424 | ||
425 | fC00-=k00*fC00+k01*fC10; fC10-=k00*c01+k01*fC11; | |
426 | fC20-=k00*c02+k01*c12; fC30-=k00*c03+k01*c13; | |
427 | fC40-=k00*c04+k01*c14; | |
428 | ||
429 | fC11-=k10*c01+k11*fC11; | |
430 | fC21-=k10*c02+k11*c12; fC31-=k10*c03+k11*c13; | |
431 | fC41-=k10*c04+k11*c14; | |
432 | ||
433 | fC22-=k20*c02+k21*c12; fC32-=k20*c03+k21*c13; | |
434 | fC42-=k20*c04+k21*c14; | |
435 | ||
436 | fC33-=k30*c03+k31*c13; | |
437 | fC43-=k30*c04+k31*c14; | |
438 | ||
439 | fC44-=k40*c04+k41*c14; | |
440 | ||
441 | if (!Invariant()) { | |
442 | fP0=p0; fP1=p1; fP2=p2; fP3=p3; fP4=p4; | |
443 | fC00=c00; | |
444 | fC10=c10; fC11=c11; | |
445 | fC20=c20; fC21=c21; fC22=c22; | |
446 | fC30=c30; fC31=c31; fC32=c32; fC33=c33; | |
447 | fC40=c40; fC41=c41; fC42=c42; fC43=c43; fC44=c44; | |
448 | return 0; | |
449 | } | |
450 | ||
67c3dcbe | 451 | if (chi2<0) return 1; |
452 | ||
006b5f7f | 453 | Int_t n=GetNumberOfClusters(); |
454 | fIndex[n]=index; | |
455 | SetNumberOfClusters(n+1); | |
456 | SetChi2(GetChi2()+chi2); | |
457 | ||
458 | return 1; | |
459 | } | |
460 | ||
006b5f7f | 461 | Int_t AliITStrackV2::Invariant() const { |
462 | //------------------------------------------------------------------ | |
463 | // This function is for debugging purpose only | |
464 | //------------------------------------------------------------------ | |
7f6ddf58 | 465 | Int_t n=GetNumberOfClusters(); |
466 | ||
a9a2d814 | 467 | if (TMath::Abs(fP2)>=0.9999){ |
8676d691 | 468 | if (n>kWARN) Warning("Invariant","fP2=%f\n",fP2); |
a9a2d814 | 469 | return 0; |
470 | } | |
471 | if (fC00<=0 || fC00>9.) { | |
8676d691 | 472 | if (n>kWARN) Warning("Invariant","fC00=%f\n",fC00); |
a9a2d814 | 473 | return 0; |
474 | } | |
475 | if (fC11<=0 || fC11>9.) { | |
8676d691 | 476 | if (n>kWARN) Warning("Invariant","fC11=%f\n",fC11); |
a9a2d814 | 477 | return 0; |
478 | } | |
479 | if (fC22<=0 || fC22>1.) { | |
8676d691 | 480 | if (n>kWARN) Warning("Invariant","fC22=%f\n",fC22); |
a9a2d814 | 481 | return 0; |
482 | } | |
483 | if (fC33<=0 || fC33>1.) { | |
8676d691 | 484 | if (n>kWARN) Warning("Invariant","fC33=%f\n",fC33); |
a9a2d814 | 485 | return 0; |
486 | } | |
487 | if (fC44<=0 || fC44>6e-5) { | |
8676d691 | 488 | if (n>kWARN) Warning("Invariant","fC44=%f\n",fC44); |
a9a2d814 | 489 | return 0; |
14825d5a | 490 | } |
14825d5a | 491 | return 1; |
006b5f7f | 492 | } |
493 | ||
494 | //____________________________________________________________________________ | |
a9a2d814 | 495 | Int_t AliITStrackV2::Propagate(Double_t alp,Double_t xk) { |
006b5f7f | 496 | //------------------------------------------------------------------ |
497 | //This function propagates a track | |
498 | //------------------------------------------------------------------ | |
33329428 | 499 | Double_t alpha=fAlpha, x=fX; |
006b5f7f | 500 | Double_t p0=fP0,p1=fP1,p2=fP2,p3=fP3,p4=fP4; |
501 | Double_t c00=fC00; | |
502 | Double_t c10=fC10, c11=fC11; | |
503 | Double_t c20=fC20, c21=fC21, c22=fC22; | |
504 | Double_t c30=fC30, c31=fC31, c32=fC32, c33=fC33; | |
505 | Double_t c40=fC40, c41=fC41, c42=fC42, c43=fC43, c44=fC44; | |
506 | ||
33329428 | 507 | if (alp < -TMath::Pi()) alp += 2*TMath::Pi(); |
508 | else if (alp >= TMath::Pi()) alp -= 2*TMath::Pi(); | |
509 | Double_t ca=TMath::Cos(alp-fAlpha), sa=TMath::Sin(alp-fAlpha); | |
510 | Double_t sf=fP2, cf=TMath::Sqrt(1.- fP2*fP2); | |
006b5f7f | 511 | |
33329428 | 512 | TMatrixD *T=0; |
513 | // **** rotation ********************** | |
514 | { | |
006b5f7f | 515 | fAlpha = alp; |
33329428 | 516 | fX = x*ca + p0*sa; |
517 | fP0= -x*sa + p0*ca; | |
518 | fP2= sf*ca - cf*sa; | |
519 | ||
520 | TMatrixD C(5,5); | |
521 | C(0,0)=c00; | |
522 | C(1,0)=c10; C(1,1)=c11; | |
523 | C(2,0)=c20; C(2,1)=c21; C(2,2)=c22; | |
524 | C(3,0)=c30; C(3,1)=c31; C(3,2)=c32; C(3,3)=c33; | |
525 | C(4,0)=c40; C(4,1)=c41; C(4,2)=c42; C(4,3)=c43; C(4,4)=c44; | |
526 | C(0,1)=C(1,0); | |
527 | C(0,2)=C(2,0); C(1,2)=C(2,1); | |
528 | C(0,3)=C(3,0); C(1,3)=C(3,1); C(2,3)=C(3,2); | |
529 | C(0,4)=C(4,0); C(1,4)=C(4,1); C(2,4)=C(4,2); C(3,4)=C(4,3); | |
006b5f7f | 530 | |
33329428 | 531 | TMatrixD F(6,5); |
532 | F(0,0)=sa; | |
533 | F(1,0)=ca; | |
534 | F(2,1)=F(4,3)=F(5,4)=1; | |
535 | F(3,2)=ca + sf/cf*sa; | |
006b5f7f | 536 | |
33329428 | 537 | TMatrixD tmp(C,TMatrixD::kMult,TMatrixD(TMatrixD::kTransposed, F)); |
538 | T=new TMatrixD(F,TMatrixD::kMult,tmp); | |
539 | } | |
006b5f7f | 540 | |
33329428 | 541 | // **** translation ****************** |
542 | { | |
543 | Double_t dx=xk-fX; | |
006b5f7f | 544 | Double_t f1=fP2, f2=f1 + fP4*dx; |
a9a2d814 | 545 | if (TMath::Abs(f2) >= 0.9999) { |
006b5f7f | 546 | Int_t n=GetNumberOfClusters(); |
7f6ddf58 | 547 | if (n>kWARN) |
8676d691 | 548 | Warning("Propagate","Propagation failed (%d) !\n",n); |
006b5f7f | 549 | return 0; |
550 | } | |
33329428 | 551 | Double_t r1=TMath::Sqrt(1.- f1*f1), r2=TMath::Sqrt(1.- f2*f2); |
006b5f7f | 552 | |
33329428 | 553 | fX=xk; |
006b5f7f | 554 | fP0 += dx*(f1+f2)/(r1+r2); |
555 | fP1 += dx*(f1+f2)/(f1*r2 + f2*r1)*fP3; | |
556 | fP2 += dx*fP4; | |
557 | ||
33329428 | 558 | TMatrixD F(5,6); |
559 | F(0,1)=F(1,2)=F(2,3)=F(3,4)=F(4,5)=1; | |
560 | F(0,3)=dx/(r1+r2)*(2+(f1+f2)*(f2/r2+f1/r1)/(r1+r2)); | |
561 | F(0,5)=dx*dx/(r1+r2)*(1+(f1+f2)*f2/(r1+r2)); | |
562 | F(1,3)=dx*fP3/(f1*r2 + f2*r1)*(2-(f1+f2)*(r2-f1*f2/r2+r1-f2*f1/r1)/(f1*r2 + f2*r1)); | |
563 | F(1,4)=dx*(f1+f2)/(f1*r2 + f2*r1); | |
564 | F(1,5)=dx*dx*fP3/(f1*r2 + f2*r1)*(1-(f1+f2)*(-f1*f2/r2+r1)/(f1*r2 + f2*r1)); | |
565 | F(2,5)=dx; | |
566 | F(0,0)=-1/(r1+r2)*((f1+f2)+dx*fP4*(1+(f1+f2)/(r1+r2)*f2/r2)); | |
567 | F(1,0)=-fP3/(f1*r2 + f2*r1)*((f1+f2)+dx*fP4*(1+(f1+f2)/(f1*r2 + f2*r1)*(f1*f2/r2-r1))); | |
568 | F(2,0)=-fP4; | |
569 | ||
570 | TMatrixD tmp(*T,TMatrixD::kMult,TMatrixD(TMatrixD::kTransposed, F)); | |
571 | delete T; | |
572 | TMatrixD C(F,TMatrixD::kMult,tmp); | |
006b5f7f | 573 | |
574 | fC00=C(0,0); | |
575 | fC10=C(1,0); fC11=C(1,1); | |
576 | fC20=C(2,0); fC21=C(2,1); fC22=C(2,2); | |
577 | fC30=C(3,0); fC31=C(3,1); fC32=C(3,2); fC33=C(3,3); | |
578 | fC40=C(4,0); fC41=C(4,1); fC42=C(4,2); fC43=C(4,3); fC44=C(4,4); | |
579 | ||
006b5f7f | 580 | if (!Invariant()) { |
33329428 | 581 | fAlpha=alpha; |
582 | fX=x; | |
006b5f7f | 583 | fP0=p0; fP1=p1; fP2=p2; fP3=p3; fP4=p4; |
584 | fC00=c00; | |
585 | fC10=c10; fC11=c11; | |
586 | fC20=c20; fC21=c21; fC22=c22; | |
587 | fC30=c30; fC31=c31; fC32=c32; fC33=c33; | |
588 | fC40=c40; fC41=c41; fC42=c42; fC43=c43; fC44=c44; | |
589 | return 0; | |
590 | } | |
33329428 | 591 | } |
006b5f7f | 592 | |
593 | return 1; | |
594 | } | |
595 | ||
a6a6f799 | 596 | Double_t AliITStrackV2::GetD(Double_t x, Double_t y) const { |
006b5f7f | 597 | //------------------------------------------------------------------ |
a6a6f799 | 598 | // This function calculates the transverse impact parameter |
599 | // with respect to a point with global coordinates (x,y) | |
006b5f7f | 600 | //------------------------------------------------------------------ |
a6a6f799 | 601 | Double_t xt=fX, yt=fP0; |
602 | ||
603 | Double_t sn=TMath::Sin(fAlpha), cs=TMath::Cos(fAlpha); | |
604 | Double_t a = x*cs + y*sn; | |
605 | y = -x*sn + y*cs; x=a; | |
606 | xt-=x; yt-=y; | |
607 | ||
608 | sn=fP4*xt - fP2; cs=fP4*yt + TMath::Sqrt(1.- fP2*fP2); | |
609 | a=2*(xt*fP2 - yt*TMath::Sqrt(1.- fP2*fP2))-fP4*(xt*xt + yt*yt); | |
006b5f7f | 610 | if (fP4<0) a=-a; |
611 | return a/(1 + TMath::Sqrt(sn*sn + cs*cs)); | |
a9a2d814 | 612 | } |
006b5f7f | 613 | |
8676d691 | 614 | Int_t AliITStrackV2::Improve(Double_t x0,Double_t xyz[3],Double_t ers[3]) { |
a9a2d814 | 615 | //------------------------------------------------------------------ |
616 | //This function improves angular track parameters | |
617 | //------------------------------------------------------------------ | |
8676d691 | 618 | Double_t cs=TMath::Cos(fAlpha), sn=TMath::Sin(fAlpha); |
619 | //Double_t xv = xyz[0]*cs + xyz[1]*sn; // vertex | |
620 | Double_t yv =-xyz[0]*sn + xyz[1]*cs; // in the | |
621 | Double_t zv = xyz[2]; // local frame | |
a9a2d814 | 622 | Double_t dy=fP0-yv, dz=fP1-zv; |
623 | Double_t r2=fX*fX+dy*dy; | |
624 | Double_t p2=(1.+ GetTgl()*GetTgl())/(Get1Pt()*Get1Pt()); | |
625 | Double_t beta2=p2/(p2 + GetMass()*GetMass()); | |
626 | x0*=TMath::Sqrt((1.+ GetTgl()*GetTgl())/(1.- GetSnp()*GetSnp())); | |
8676d691 | 627 | Double_t theta2=14.1*14.1/(beta2*p2*1e6)*x0; |
628 | //Double_t theta2=1.0259e-6*14*14/28/(beta2*p2)*x0*9.36*2.33; | |
a9a2d814 | 629 | { |
630 | Double_t parp=0.5*(fP4*fX + dy*TMath::Sqrt(4/r2-fP4*fP4)); | |
631 | Double_t sigma2p = theta2*(1.- GetSnp()*GetSnp())*(1. + GetTgl()*GetTgl()); | |
632 | sigma2p += fC00/r2*(1.- dy*dy/r2)*(1.- dy*dy/r2); | |
8676d691 | 633 | sigma2p += ers[1]*ers[1]/r2; |
a9a2d814 | 634 | sigma2p += 0.25*fC44*fX*fX; |
635 | Double_t eps2p=sigma2p/(fC22+sigma2p); | |
636 | fP0 += fC20/(fC22+sigma2p)*(parp-fP2); | |
637 | fP2 = eps2p*fP2 + (1-eps2p)*parp; | |
638 | fC22 *= eps2p; | |
639 | fC20 *= eps2p; | |
640 | } | |
641 | { | |
642 | Double_t parl=0.5*fP4*dz/TMath::ASin(0.5*fP4*TMath::Sqrt(r2)); | |
643 | Double_t sigma2l=theta2; | |
644 | sigma2l += fC11/r2+fC00*dy*dy*dz*dz/(r2*r2*r2); | |
8676d691 | 645 | sigma2l += ers[2]*ers[2]/r2; |
a9a2d814 | 646 | Double_t eps2l=sigma2l/(fC33+sigma2l); |
647 | fP1 += fC31/(fC33+sigma2l)*(parl-fP3); | |
648 | fP4 += fC43/(fC33+sigma2l)*(parl-fP3); | |
649 | fP3 = eps2l*fP3 + (1-eps2l)*parl; | |
650 | fC33 *= eps2l; fC43 *= eps2l; | |
651 | fC31 *= eps2l; | |
652 | } | |
653 | if (!Invariant()) return 0; | |
654 | return 1; | |
655 | } | |
006b5f7f | 656 | |
a9a2d814 | 657 | /* |
006b5f7f | 658 | Int_t AliITStrackV2::Improve(Double_t x0,Double_t yv,Double_t zv) { |
659 | //------------------------------------------------------------------ | |
660 | //This function improves angular track parameters | |
661 | //------------------------------------------------------------------ | |
662 | Double_t dy=fP0-yv, dz=fP1-zv; | |
663 | Double_t r2=fX*fX+dy*dy; | |
664 | Double_t p2=(1.+ GetTgl()*GetTgl())/(Get1Pt()*Get1Pt()); | |
7f6ddf58 | 665 | Double_t beta2=p2/(p2 + GetMass()*GetMass()); |
006b5f7f | 666 | x0*=TMath::Sqrt((1.+ GetTgl()*GetTgl())/(1.- GetSnp()*GetSnp())); |
a9a2d814 | 667 | //Double_t theta2=14.1*14.1/(beta2*p2*1e6)*x0; |
668 | Double_t theta2=1.0259e-6*14*14/28/(beta2*p2)*x0*9.36*2.33; | |
006b5f7f | 669 | |
670 | Double_t par=0.5*(fP4*fX + dy*TMath::Sqrt(4/r2-fP4*fP4)); | |
671 | Double_t sigma2 = theta2*(1.- GetSnp()*GetSnp())*(1. + GetTgl()*GetTgl()); | |
672 | sigma2 += fC00/r2*(1.- dy*dy/r2)*(1.- dy*dy/r2); | |
673 | sigma2 += kSigmaYV*kSigmaYV/r2; | |
674 | sigma2 += 0.25*fC44*fX*fX; | |
675 | Double_t eps2=sigma2/(fC22+sigma2), eps=TMath::Sqrt(eps2); | |
676 | if (10*r2*fC44<fC22) { | |
677 | fP2 = eps2*fP2 + (1-eps2)*par; | |
678 | fC22*=eps2; fC21*=eps; fC20*=eps; fC32*=eps; fC42*=eps; | |
679 | } | |
680 | ||
681 | par=0.5*fP4*dz/TMath::ASin(0.5*fP4*TMath::Sqrt(r2)); | |
682 | sigma2=theta2; | |
683 | sigma2 += fC11/r2+fC00*dy*dy*dz*dz/(r2*r2*r2); | |
684 | sigma2 += kSigmaZV*kSigmaZV/r2; | |
685 | eps2=sigma2/(fC33+sigma2); eps=TMath::Sqrt(eps2); | |
686 | Double_t tgl=fP3; | |
687 | fP3 = eps2*fP3 + (1-eps2)*par; | |
688 | fC33*=eps2; fC32*=eps; fC31*=eps; fC30*=eps; fC43*=eps; | |
689 | ||
690 | eps=TMath::Sqrt((1+fP3*fP3)/(1+tgl*tgl)); | |
691 | fP4*=eps; | |
692 | fC44*=eps*eps; fC43*=eps;fC42*=eps; fC41*=eps; fC40*=eps; | |
693 | ||
694 | if (!Invariant()) return 0; | |
695 | return 1; | |
696 | } | |
006b5f7f | 697 | */ |
14825d5a | 698 | void AliITStrackV2::ResetCovariance() { |
699 | //------------------------------------------------------------------ | |
700 | //This function makes a track forget its history :) | |
701 | //------------------------------------------------------------------ | |
702 | ||
703 | fC00*=10.; | |
704 | fC10=0.; fC11*=10.; | |
705 | fC20=0.; fC21=0.; fC22*=10.; | |
706 | fC30=0.; fC31=0.; fC32=0.; fC33*=10.; | |
707 | fC40=0.; fC41=0.; fC42=0.; fC43=0.; fC44*=10.; | |
708 | ||
709 | } | |
23efe5f1 | 710 | |
711 | void AliITStrackV2::CookdEdx(Double_t low, Double_t up) { | |
712 | //----------------------------------------------------------------- | |
a9a2d814 | 713 | // This function calculates dE/dX within the "low" and "up" cuts. |
714 | // Origin: Boris Batyunya, JINR, Boris.Batiounia@cern.ch | |
23efe5f1 | 715 | //----------------------------------------------------------------- |
23efe5f1 | 716 | // The clusters order is: SSD-2, SSD-1, SDD-2, SDD-1, SPD-2, SPD-1 |
c0dd5278 | 717 | |
718 | Int_t i; | |
719 | Int_t nc=0; | |
720 | for (i=0; i<GetNumberOfClusters(); i++) { | |
721 | Int_t idx=GetClusterIndex(i); | |
722 | idx=(idx&0xf0000000)>>28; | |
723 | if (idx>1) nc++; // Take only SSD and SDD | |
724 | } | |
23efe5f1 | 725 | |
a9a2d814 | 726 | Int_t swap;//stupid sorting |
23efe5f1 | 727 | do { |
728 | swap=0; | |
729 | for (i=0; i<nc-1; i++) { | |
730 | if (fdEdxSample[i]<=fdEdxSample[i+1]) continue; | |
731 | Float_t tmp=fdEdxSample[i]; | |
732 | fdEdxSample[i]=fdEdxSample[i+1]; fdEdxSample[i+1]=tmp; | |
733 | swap++; | |
734 | } | |
735 | } while (swap); | |
736 | ||
a9a2d814 | 737 | Int_t nl=Int_t(low*nc), nu=Int_t(up*nc); //b.b. to take two lowest dEdX |
738 | // values from four ones choose | |
739 | // nu=2 | |
23efe5f1 | 740 | Float_t dedx=0; |
a9a2d814 | 741 | for (i=nl; i<nu; i++) dedx += fdEdxSample[i]; |
c0dd5278 | 742 | if (nu-nl>0) dedx /= (nu-nl); |
23efe5f1 | 743 | |
23efe5f1 | 744 | SetdEdx(dedx); |
745 | } |