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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 | /* $Id$ */ | |
17 | ||
18 | /////////////////////////////////////////////////////////////////////////// | |
19 | // Implementation of the ITS track class | |
20 | // | |
21 | // Origin: Iouri Belikov, CERN, Jouri.Belikov@cern.ch | |
22 | // dEdx analysis by: Boris Batyunya, JINR, Boris.Batiounia@cern.ch | |
23 | /////////////////////////////////////////////////////////////////////////// | |
24 | #include <TMath.h> | |
25 | ||
26 | #include "AliCluster.h" | |
27 | #include "AliTracker.h" | |
28 | #include "AliESDtrack.h" | |
29 | #include "AliITStrackV2.h" | |
30 | ||
31 | const Int_t AliITStrackV2::fgkWARN = 5; | |
32 | ||
33 | ClassImp(AliITStrackV2) | |
34 | ||
35 | ||
36 | //____________________________________________________________________________ | |
37 | AliITStrackV2::AliITStrackV2() : AliKalmanTrack(), | |
38 | fdEdx(0), | |
39 | fESDtrack(0) | |
40 | { | |
41 | for(Int_t i=0; i<2*AliITSgeomTGeo::kNLayers; i++) {fIndex[i]=-1; fModule[i]=-1;} | |
42 | for(Int_t i=0; i<4; i++) fdEdxSample[i]=0; | |
43 | } | |
44 | ||
45 | ||
46 | //____________________________________________________________________________ | |
47 | AliITStrackV2::AliITStrackV2(AliESDtrack& t,Bool_t c) throw (const Char_t *) : | |
48 | AliKalmanTrack(), | |
49 | fdEdx(t.GetITSsignal()), | |
50 | fESDtrack(&t) | |
51 | { | |
52 | //------------------------------------------------------------------ | |
53 | // Conversion ESD track -> ITS track. | |
54 | // If c==kTRUE, create the ITS track out of the constrained params. | |
55 | //------------------------------------------------------------------ | |
56 | const AliExternalTrackParam *par=&t; | |
57 | if (c) { | |
58 | par=t.GetConstrainedParam(); | |
59 | if (!par) throw "AliITStrackV2: conversion failed !\n"; | |
60 | } | |
61 | Set(par->GetX(),par->GetAlpha(),par->GetParameter(),par->GetCovariance()); | |
62 | ||
63 | //if (!Invariant()) throw "AliITStrackV2: conversion failed !\n"; | |
64 | ||
65 | SetLabel(t.GetLabel()); | |
66 | SetMass(t.GetMass()); | |
67 | SetNumberOfClusters(t.GetITSclusters(fIndex)); | |
68 | ||
69 | if (t.GetStatus()&AliESDtrack::kTIME) { | |
70 | StartTimeIntegral(); | |
71 | Double_t times[10]; t.GetIntegratedTimes(times); SetIntegratedTimes(times); | |
72 | SetIntegratedLength(t.GetIntegratedLength()); | |
73 | } | |
74 | ||
75 | for(Int_t i=0; i<4; i++) fdEdxSample[i]=0; | |
76 | } | |
77 | ||
78 | void AliITStrackV2::UpdateESDtrack(ULong_t flags) const { | |
79 | fESDtrack->UpdateTrackParams(this,flags); | |
80 | // copy the module indices | |
81 | for(Int_t i=0;i<12;i++) { | |
82 | // printf(" %d\n",GetModuleIndex(i)); | |
83 | fESDtrack->SetITSModuleIndex(i,GetModuleIndex(i)); | |
84 | } | |
85 | } | |
86 | ||
87 | //____________________________________________________________________________ | |
88 | AliITStrackV2::AliITStrackV2(const AliITStrackV2& t) : | |
89 | AliKalmanTrack(t), | |
90 | fdEdx(t.fdEdx), | |
91 | fESDtrack(t.fESDtrack) | |
92 | { | |
93 | //------------------------------------------------------------------ | |
94 | //Copy constructor | |
95 | //------------------------------------------------------------------ | |
96 | Int_t i; | |
97 | for (i=0; i<4; i++) fdEdxSample[i]=t.fdEdxSample[i]; | |
98 | for (i=0; i<2*AliITSgeomTGeo::GetNLayers(); i++) { | |
99 | fIndex[i]=t.fIndex[i]; | |
100 | fModule[i]=t.fModule[i]; | |
101 | } | |
102 | } | |
103 | ||
104 | //_____________________________________________________________________________ | |
105 | Int_t AliITStrackV2::Compare(const TObject *o) const { | |
106 | //----------------------------------------------------------------- | |
107 | // This function compares tracks according to the their curvature | |
108 | //----------------------------------------------------------------- | |
109 | AliITStrackV2 *t=(AliITStrackV2*)o; | |
110 | //Double_t co=OneOverPt(); | |
111 | //Double_t c =OneOverPt(); | |
112 | Double_t co=t->GetSigmaY2()*t->GetSigmaZ2(); | |
113 | Double_t c =GetSigmaY2()*GetSigmaZ2(); | |
114 | if (c>co) return 1; | |
115 | else if (c<co) return -1; | |
116 | return 0; | |
117 | } | |
118 | ||
119 | //____________________________________________________________________________ | |
120 | Bool_t | |
121 | AliITStrackV2::PropagateToVertex(const AliESDVertex *v,Double_t d,Double_t x0) | |
122 | { | |
123 | //------------------------------------------------------------------ | |
124 | //This function propagates a track to the minimal distance from the origin | |
125 | //------------------------------------------------------------------ | |
126 | Double_t bz=GetBz(); | |
127 | if (PropagateToDCA(v,bz,kVeryBig)) { | |
128 | Double_t xOverX0,xTimesRho; | |
129 | xOverX0 = d; xTimesRho = d*x0; | |
130 | if (CorrectForMeanMaterial(xOverX0,xTimesRho,kTRUE)) return kTRUE; | |
131 | } | |
132 | return kFALSE; | |
133 | } | |
134 | ||
135 | //____________________________________________________________________________ | |
136 | Bool_t AliITStrackV2:: | |
137 | GetGlobalXYZat(Double_t xloc, Double_t &x, Double_t &y, Double_t &z) const { | |
138 | //------------------------------------------------------------------ | |
139 | //This function returns a track position in the global system | |
140 | //------------------------------------------------------------------ | |
141 | Double_t r[3]; | |
142 | Bool_t rc=GetXYZAt(xloc, AliTracker::GetBz(), r); | |
143 | x=r[0]; y=r[1]; z=r[2]; | |
144 | return rc; | |
145 | } | |
146 | ||
147 | //_____________________________________________________________________________ | |
148 | Double_t AliITStrackV2::GetPredictedChi2(const AliCluster *c) const { | |
149 | //----------------------------------------------------------------- | |
150 | // This function calculates a predicted chi2 increment. | |
151 | //----------------------------------------------------------------- | |
152 | Double_t p[2]={c->GetY(), c->GetZ()}; | |
153 | Double_t cov[3]={c->GetSigmaY2(), 0., c->GetSigmaZ2()}; | |
154 | return AliExternalTrackParam::GetPredictedChi2(p,cov); | |
155 | } | |
156 | ||
157 | //____________________________________________________________________________ | |
158 | Bool_t AliITStrackV2::PropagateTo(Double_t xk, Double_t d, Double_t x0) { | |
159 | //------------------------------------------------------------------ | |
160 | //This function propagates a track | |
161 | //------------------------------------------------------------------ | |
162 | ||
163 | Double_t oldX=GetX(), oldY=GetY(), oldZ=GetZ(); | |
164 | ||
165 | Double_t bz=GetBz(); | |
166 | if (!AliExternalTrackParam::PropagateTo(xk,bz)) return kFALSE; | |
167 | Double_t xOverX0,xTimesRho; | |
168 | xOverX0 = d; xTimesRho = d*x0; | |
169 | if (!CorrectForMeanMaterial(xOverX0,xTimesRho,kTRUE)) return kFALSE; | |
170 | ||
171 | Double_t x=GetX(), y=GetY(), z=GetZ(); | |
172 | if (IsStartedTimeIntegral() && x>oldX) { | |
173 | Double_t l2 = (x-oldX)*(x-oldX) + (y-oldY)*(y-oldY) + (z-oldZ)*(z-oldZ); | |
174 | AddTimeStep(TMath::Sqrt(l2)); | |
175 | } | |
176 | ||
177 | return kTRUE; | |
178 | } | |
179 | ||
180 | //____________________________________________________________________________ | |
181 | Bool_t AliITStrackV2::PropagateToTGeo(Double_t xToGo, Int_t nstep, Double_t &xOverX0, Double_t &xTimesRho) { | |
182 | //------------------------------------------------------------------- | |
183 | // Propagates the track to a reference plane x=xToGo in n steps. | |
184 | // These n steps are only used to take into account the curvature. | |
185 | // The material is calculated with TGeo. (L.Gaudichet) | |
186 | //------------------------------------------------------------------- | |
187 | ||
188 | Double_t startx = GetX(), starty = GetY(), startz = GetZ(); | |
189 | Double_t sign = (startx<xToGo) ? -1.:1.; | |
190 | Double_t step = (xToGo-startx)/TMath::Abs(nstep); | |
191 | ||
192 | Double_t start[3], end[3], mparam[7], bz = GetBz(); | |
193 | Double_t x = startx; | |
194 | ||
195 | for (Int_t i=0; i<nstep; i++) { | |
196 | ||
197 | GetXYZ(start); //starting global position | |
198 | x += step; | |
199 | if (!GetXYZAt(x, bz, end)) return kFALSE; | |
200 | if (!AliExternalTrackParam::PropagateTo(x, bz)) return kFALSE; | |
201 | AliTracker::MeanMaterialBudget(start, end, mparam); | |
202 | if (mparam[1]<900000) { | |
203 | xTimesRho = sign*mparam[4]*mparam[0]; | |
204 | xOverX0 = mparam[1]; | |
205 | if (!AliExternalTrackParam::CorrectForMeanMaterial(xOverX0, | |
206 | xTimesRho,GetMass())) return kFALSE; | |
207 | } | |
208 | } | |
209 | ||
210 | if (IsStartedTimeIntegral() && GetX()>startx) { | |
211 | Double_t l2 = ( (GetX()-startx)*(GetX()-startx) + | |
212 | (GetY()-starty)*(GetY()-starty) + | |
213 | (GetZ()-startz)*(GetZ()-startz) ); | |
214 | AddTimeStep(TMath::Sqrt(l2)); | |
215 | } | |
216 | ||
217 | return kTRUE; | |
218 | } | |
219 | ||
220 | //____________________________________________________________________________ | |
221 | Bool_t AliITStrackV2::Update(const AliCluster* c, Double_t chi2, Int_t index) | |
222 | { | |
223 | //------------------------------------------------------------------ | |
224 | //This function updates track parameters | |
225 | //------------------------------------------------------------------ | |
226 | Double_t p[2]={c->GetY(), c->GetZ()}; | |
227 | Double_t cov[3]={c->GetSigmaY2(), 0., c->GetSigmaZ2()}; | |
228 | ||
229 | if (!AliExternalTrackParam::Update(p,cov)) return kFALSE; | |
230 | ||
231 | if (!Invariant()) { | |
232 | AliWarning("Wrong invariant !"); | |
233 | return kFALSE; | |
234 | } | |
235 | ||
236 | if (chi2<0) return kTRUE; | |
237 | ||
238 | AliTracker::FillResiduals(this,p,cov,c->GetVolumeId()); | |
239 | ||
240 | Int_t n=GetNumberOfClusters(); | |
241 | fIndex[n]=index; | |
242 | SetNumberOfClusters(n+1); | |
243 | SetChi2(GetChi2()+chi2); | |
244 | ||
245 | return kTRUE; | |
246 | } | |
247 | ||
248 | Bool_t AliITStrackV2::Invariant() const { | |
249 | //------------------------------------------------------------------ | |
250 | // This function is for debugging purpose only | |
251 | //------------------------------------------------------------------ | |
252 | Int_t n=GetNumberOfClusters(); | |
253 | ||
254 | Double_t sP2=GetParameter()[2]; | |
255 | if (TMath::Abs(sP2) >= kAlmost1){ | |
256 | if (n>fgkWARN) Warning("Invariant","fP2=%f\n",sP2); | |
257 | return kFALSE; | |
258 | } | |
259 | Double_t sC00=GetCovariance()[0]; | |
260 | if (sC00<=0 || sC00>9.) { | |
261 | if (n>fgkWARN) Warning("Invariant","fC00=%f\n",sC00); | |
262 | return kFALSE; | |
263 | } | |
264 | Double_t sC11=GetCovariance()[2]; | |
265 | if (sC11<=0 || sC11>9.) { | |
266 | if (n>fgkWARN) Warning("Invariant","fC11=%f\n",sC11); | |
267 | return kFALSE; | |
268 | } | |
269 | Double_t sC22=GetCovariance()[5]; | |
270 | if (sC22<=0 || sC22>1.) { | |
271 | if (n>fgkWARN) Warning("Invariant","fC22=%f\n",sC22); | |
272 | return kFALSE; | |
273 | } | |
274 | Double_t sC33=GetCovariance()[9]; | |
275 | if (sC33<=0 || sC33>1.) { | |
276 | if (n>fgkWARN) Warning("Invariant","fC33=%f\n",sC33); | |
277 | return kFALSE; | |
278 | } | |
279 | Double_t sC44=GetCovariance()[14]; | |
280 | if (sC44<=0 /*|| sC44>6e-5*/) { | |
281 | if (n>fgkWARN) Warning("Invariant","fC44=%f\n",sC44); | |
282 | return kFALSE; | |
283 | } | |
284 | ||
285 | return kTRUE; | |
286 | } | |
287 | ||
288 | //____________________________________________________________________________ | |
289 | Bool_t AliITStrackV2::Propagate(Double_t alp,Double_t xk) { | |
290 | //------------------------------------------------------------------ | |
291 | //This function propagates a track | |
292 | //------------------------------------------------------------------ | |
293 | Double_t bz=GetBz(); | |
294 | if (!AliExternalTrackParam::Propagate(alp,xk,bz)) return kFALSE; | |
295 | ||
296 | if (!Invariant()) { | |
297 | AliWarning("Wrong invariant !"); | |
298 | return kFALSE; | |
299 | } | |
300 | ||
301 | return kTRUE; | |
302 | } | |
303 | ||
304 | Bool_t AliITStrackV2::MeanBudgetToPrimVertex(Double_t xyz[3], Double_t step, Double_t &d) const { | |
305 | ||
306 | //------------------------------------------------------------------- | |
307 | // Get the mean material budget between the actual point and the | |
308 | // primary vertex. (L.Gaudichet) | |
309 | //------------------------------------------------------------------- | |
310 | ||
311 | Double_t cs=TMath::Cos(GetAlpha()), sn=TMath::Sin(GetAlpha()); | |
312 | Double_t vertexX = xyz[0]*cs + xyz[1]*sn; | |
313 | ||
314 | Int_t nstep = Int_t((GetX()-vertexX)/step); | |
315 | if (nstep<1) nstep = 1; | |
316 | step = (GetX()-vertexX)/nstep; | |
317 | ||
318 | // Double_t mparam[7], densMean=0, radLength=0, length=0; | |
319 | Double_t mparam[7]; | |
320 | Double_t p1[3], p2[3], x = GetX(), bz = GetBz(); | |
321 | GetXYZ(p1); | |
322 | ||
323 | d=0.; | |
324 | ||
325 | for (Int_t i=0; i<nstep; i++) { | |
326 | x += step; | |
327 | if (!GetXYZAt(x, bz, p2)) return kFALSE; | |
328 | AliTracker::MeanMaterialBudget(p1, p2, mparam); | |
329 | if (mparam[1]>900000) return kFALSE; | |
330 | d += mparam[1]; | |
331 | ||
332 | p1[0] = p2[0]; | |
333 | p1[1] = p2[1]; | |
334 | p1[2] = p2[2]; | |
335 | } | |
336 | ||
337 | return kTRUE; | |
338 | } | |
339 | ||
340 | Bool_t AliITStrackV2::Improve(Double_t x0,Double_t xyz[3],Double_t ers[3]) { | |
341 | //------------------------------------------------------------------ | |
342 | //This function improves angular track parameters | |
343 | //------------------------------------------------------------------ | |
344 | Double_t cs=TMath::Cos(GetAlpha()), sn=TMath::Sin(GetAlpha()); | |
345 | //Double_t xv = xyz[0]*cs + xyz[1]*sn; // vertex | |
346 | Double_t yv =-xyz[0]*sn + xyz[1]*cs; // in the | |
347 | Double_t zv = xyz[2]; // local frame | |
348 | ||
349 | Double_t dy = Par(0) - yv, dz = Par(1) - zv; | |
350 | Double_t r2=GetX()*GetX() + dy*dy; | |
351 | Double_t p2=(1.+ GetTgl()*GetTgl())/(GetSigned1Pt()*GetSigned1Pt()); | |
352 | Double_t beta2=p2/(p2 + GetMass()*GetMass()); | |
353 | x0*=TMath::Sqrt((1.+ GetTgl()*GetTgl())/(1.- GetSnp()*GetSnp())); | |
354 | Double_t theta2=14.1*14.1/(beta2*p2*1e6)*x0; | |
355 | //Double_t theta2=1.0259e-6*14*14/28/(beta2*p2)*x0*9.36*2.33; | |
356 | ||
357 | Double_t cnv=GetBz()*kB2C; | |
358 | { | |
359 | Double_t dummy = 4/r2 - GetC()*GetC(); | |
360 | if (dummy < 0) return kFALSE; | |
361 | Double_t parp = 0.5*(GetC()*GetX() + dy*TMath::Sqrt(dummy)); | |
362 | Double_t sigma2p = theta2*(1.- GetSnp()*GetSnp())*(1. + GetTgl()*GetTgl()); | |
363 | sigma2p += Cov(0)/r2*(1.- dy*dy/r2)*(1.- dy*dy/r2); | |
364 | sigma2p += ers[1]*ers[1]/r2; | |
365 | sigma2p += 0.25*Cov(14)*cnv*cnv*GetX()*GetX(); | |
366 | Double_t eps2p=sigma2p/(Cov(5) + sigma2p); | |
367 | Par(0) += Cov(3)/(Cov(5) + sigma2p)*(parp - GetSnp()); | |
368 | Par(2) = eps2p*GetSnp() + (1 - eps2p)*parp; | |
369 | Cov(5) *= eps2p; | |
370 | Cov(3) *= eps2p; | |
371 | } | |
372 | { | |
373 | Double_t parl=0.5*GetC()*dz/TMath::ASin(0.5*GetC()*TMath::Sqrt(r2)); | |
374 | Double_t sigma2l=theta2; | |
375 | sigma2l += Cov(2)/r2 + Cov(0)*dy*dy*dz*dz/(r2*r2*r2); | |
376 | sigma2l += ers[2]*ers[2]/r2; | |
377 | Double_t eps2l = sigma2l/(Cov(9) + sigma2l); | |
378 | Par(1) += Cov(7 )/(Cov(9) + sigma2l)*(parl - Par(3)); | |
379 | Par(4) += Cov(13)/(Cov(9) + sigma2l)*(parl - Par(3)); | |
380 | Par(3) = eps2l*Par(3) + (1-eps2l)*parl; | |
381 | Cov(9) *= eps2l; | |
382 | Cov(13)*= eps2l; | |
383 | Cov(7) *= eps2l; | |
384 | } | |
385 | if (!Invariant()) return kFALSE; | |
386 | ||
387 | return kTRUE; | |
388 | } | |
389 | ||
390 | void AliITStrackV2::CookdEdx(Double_t low, Double_t up) { | |
391 | //----------------------------------------------------------------- | |
392 | // This function calculates dE/dX within the "low" and "up" cuts. | |
393 | // Origin: Boris Batyunya, JINR, Boris.Batiounia@cern.ch | |
394 | //----------------------------------------------------------------- | |
395 | // The clusters order is: SSD-2, SSD-1, SDD-2, SDD-1, SPD-2, SPD-1 | |
396 | ||
397 | Int_t i; | |
398 | Int_t nc=0; | |
399 | for (i=0; i<GetNumberOfClusters(); i++) { | |
400 | Int_t idx=GetClusterIndex(i); | |
401 | idx=(idx&0xf0000000)>>28; | |
402 | if (idx>1) nc++; // Take only SSD and SDD | |
403 | } | |
404 | ||
405 | Int_t swap;//stupid sorting | |
406 | do { | |
407 | swap=0; | |
408 | for (i=0; i<nc-1; i++) { | |
409 | if (fdEdxSample[i]<=fdEdxSample[i+1]) continue; | |
410 | Float_t tmp=fdEdxSample[i]; | |
411 | fdEdxSample[i]=fdEdxSample[i+1]; fdEdxSample[i+1]=tmp; | |
412 | swap++; | |
413 | } | |
414 | } while (swap); | |
415 | ||
416 | Int_t nl=Int_t(low*nc), nu=Int_t(up*nc); //b.b. to take two lowest dEdX | |
417 | // values from four ones choose | |
418 | // nu=2 | |
419 | Float_t dedx=0; | |
420 | for (i=nl; i<nu; i++) dedx += fdEdxSample[i]; | |
421 | if (nu-nl>0) dedx /= (nu-nl); | |
422 | ||
423 | SetdEdx(dedx); | |
424 | } | |
425 | ||
426 | Double_t AliITStrackV2::GetBz() const { | |
427 | // | |
428 | // returns Bz component of the magnetic field (kG) | |
429 | // | |
430 | if (AliTracker::UniformField()) return AliTracker::GetBz(); | |
431 | Double_t r[3]; GetXYZ(r); | |
432 | return AliTracker::GetBz(r); | |
433 | } | |
434 | ||
435 | //____________________________________________________________________________ | |
436 | Bool_t AliITStrackV2:: | |
437 | GetPhiZat(Double_t r, Double_t &phi, Double_t &z) const { | |
438 | //------------------------------------------------------------------ | |
439 | // This function returns the global cylindrical (phi,z) of the track | |
440 | // position estimated at the radius r. | |
441 | // The track curvature is neglected. | |
442 | //------------------------------------------------------------------ | |
443 | Double_t d=GetD(0.,0.); | |
444 | if (TMath::Abs(d) > r) return kFALSE; | |
445 | ||
446 | Double_t rcurr=TMath::Sqrt(GetX()*GetX() + GetY()*GetY()); | |
447 | if (TMath::Abs(d) > rcurr) return kFALSE; | |
448 | Double_t phicurr=GetAlpha()+TMath::ASin(GetSnp()); | |
449 | ||
450 | phi=phicurr+TMath::ASin(d/r)-TMath::ASin(d/rcurr); | |
451 | z=GetZ()+GetTgl()*(TMath::Sqrt((r-d)*(r+d))-TMath::Sqrt((rcurr-d)*(rcurr+d))); | |
452 | return kTRUE; | |
453 | } | |
454 | //____________________________________________________________________________ | |
455 | Bool_t AliITStrackV2:: | |
456 | GetLocalXat(Double_t r,Double_t &xloc) const { | |
457 | //------------------------------------------------------------------ | |
458 | // This function returns the local x of the track | |
459 | // position estimated at the radius r. | |
460 | // The track curvature is neglected. | |
461 | //------------------------------------------------------------------ | |
462 | Double_t d=GetD(0.,0.); | |
463 | if (TMath::Abs(d) > r) return kFALSE; | |
464 | ||
465 | Double_t rcurr=TMath::Sqrt(GetX()*GetX() + GetY()*GetY()); | |
466 | Double_t phicurr=GetAlpha()+TMath::ASin(GetSnp()); | |
467 | Double_t phi=phicurr+TMath::ASin(d/r)-TMath::ASin(d/rcurr); | |
468 | ||
469 | xloc=r*(TMath::Cos(phi)*TMath::Cos(GetAlpha()) | |
470 | +TMath::Sin(phi)*TMath::Sin(GetAlpha())); | |
471 | ||
472 | return kTRUE; | |
473 | } | |
474 |