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74ea065c | 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 | #include <Riostream.h> | |
19 | #include <TObject.h> | |
20 | #include "AliTOFGeometry.h" | |
21 | #include "AliTOFtrack.h" | |
22 | #include "AliESDtrack.h" | |
23 | ||
24 | ClassImp(AliTOFtrack) | |
25 | ||
26 | //_____________________________________________________________________________ | |
27 | AliTOFtrack::AliTOFtrack(const AliTOFtrack& t) : AliKalmanTrack(t) { | |
28 | // | |
29 | // Copy constructor. | |
30 | // | |
31 | ||
32 | SetSeedIndex(t.GetSeedIndex()); | |
33 | SetLabel(t.GetLabel()); | |
34 | fSeedLab=t.GetSeedLabel(); | |
35 | SetChi2(t.GetChi2()); | |
36 | ||
37 | fAlpha=t.fAlpha; | |
38 | fX=t.fX; | |
39 | ||
40 | fY=t.fY; fZ=t.fZ; fE=t.fE; fT=t.fT; fC=t.fC; | |
41 | ||
42 | fCyy=t.fCyy; | |
43 | fCzy=t.fCzy; fCzz=t.fCzz; | |
44 | fCey=t.fCey; fCez=t.fCez; fCee=t.fCee; | |
45 | fCty=t.fCty; fCtz=t.fCtz; fCte=t.fCte; fCtt=t.fCtt; | |
46 | fCcy=t.fCcy; fCcz=t.fCcz; fCce=t.fCce; fCct=t.fCct; fCcc=t.fCcc; | |
47 | ||
48 | ||
49 | } | |
50 | ||
51 | //_____________________________________________________________________________ | |
52 | AliTOFtrack::AliTOFtrack(const AliESDtrack& t) | |
53 | :AliKalmanTrack() { | |
54 | // | |
55 | // Constructor from AliESDtrack | |
56 | // | |
57 | ||
58 | SetSeedIndex(-1); | |
59 | SetLabel(t.GetLabel()); | |
60 | SetChi2(0.); | |
61 | SetMass(t.GetMass()); | |
62 | ||
63 | fAlpha = t.GetAlpha(); | |
64 | if (fAlpha < -TMath::Pi()) fAlpha += 2*TMath::Pi(); | |
65 | else if (fAlpha >= TMath::Pi()) fAlpha -= 2*TMath::Pi(); | |
66 | Double_t x, p[5]; t.GetExternalParameters(x,p); | |
67 | ||
68 | fX=x; | |
69 | ||
70 | x = GetConvConst(); | |
71 | ||
72 | fY=p[0]; | |
73 | fZ=p[1]; | |
74 | fT=p[3]; | |
75 | fC=p[4]/x; | |
76 | fE=fC*fX - p[2]; | |
77 | ||
78 | //Conversion of the covariance matrix | |
79 | Double_t c[15]; t.GetExternalCovariance(c); | |
80 | ||
81 | c[10]/=x; c[11]/=x; c[12]/=x; c[13]/=x; c[14]/=x*x; | |
82 | ||
83 | Double_t c22=fX*fX*c[14] - 2*fX*c[12] + c[5]; | |
84 | Double_t c32=fX*c[13] - c[8]; | |
85 | Double_t c20=fX*c[10] - c[3], c21=fX*c[11] - c[4], c42=fX*c[14] - c[12]; | |
86 | ||
87 | fCyy=c[0 ]; | |
88 | fCzy=c[1 ]; fCzz=c[2 ]; | |
89 | fCey=c20; fCez=c21; fCee=c22; | |
90 | fCty=c[6 ]; fCtz=c[7 ]; fCte=c32; fCtt=c[9 ]; | |
91 | fCcy=c[10]; fCcz=c[11]; fCce=c42; fCct=c[13]; fCcc=c[14]; | |
92 | ||
93 | if ((t.GetStatus()&AliESDtrack::kTIME) == 0) return; | |
94 | StartTimeIntegral(); | |
95 | Double_t times[10]; t.GetIntegratedTimes(times); SetIntegratedTimes(times); | |
96 | SetIntegratedLength(t.GetIntegratedLength()); | |
97 | ||
98 | ||
99 | } | |
100 | //____________________________________________________________________________ | |
101 | void AliTOFtrack::GetExternalParameters(Double_t& xr, Double_t x[5]) const { | |
102 | // | |
103 | // This function returns external TOF track representation | |
104 | // | |
105 | xr=fX; | |
106 | x[0]=GetY(); | |
107 | x[1]=GetZ(); | |
108 | x[2]=GetSnp(); | |
109 | x[3]=GetTgl(); | |
110 | x[4]=Get1Pt(); | |
111 | } | |
112 | ||
113 | //_____________________________________________________________________________ | |
114 | void AliTOFtrack::GetExternalCovariance(Double_t cc[15]) const { | |
115 | // | |
116 | // This function returns external representation of the covriance matrix. | |
117 | // | |
118 | Double_t a=GetConvConst(); | |
119 | Double_t c22=fX*fX*fCcc-2*fX*fCce+fCee; | |
120 | Double_t c32=fX*fCct-fCte; | |
121 | Double_t c20=fX*fCcy-fCey, c21=fX*fCcz-fCez, c42=fX*fCcc-fCce; | |
122 | ||
123 | cc[0 ]=fCyy; | |
124 | cc[1 ]=fCzy; cc[2 ]=fCzz; | |
125 | cc[3 ]=c20; cc[4 ]=c21; cc[5 ]=c22; | |
126 | cc[6 ]=fCty; cc[7 ]=fCtz; cc[8 ]=c32; cc[9 ]=fCtt; | |
127 | cc[10]=fCcy*a; cc[11]=fCcz*a; cc[12]=c42*a; cc[13]=fCct*a; cc[14]=fCcc*a*a; | |
128 | ||
129 | } | |
130 | ||
131 | ||
132 | //_____________________________________________________________________________ | |
133 | void AliTOFtrack::GetCovariance(Double_t cc[15]) const { | |
134 | ||
135 | cc[0]=fCyy; | |
136 | cc[1]=fCzy; cc[2]=fCzz; | |
137 | cc[3]=fCey; cc[4]=fCez; cc[5]=fCee; | |
138 | cc[6]=fCcy; cc[7]=fCcz; cc[8]=fCce; cc[9]=fCcc; | |
139 | cc[10]=fCty; cc[11]=fCtz; cc[12]=fCte; cc[13]=fCct; cc[14]=fCtt; | |
140 | ||
141 | } | |
142 | ||
143 | ||
144 | //_____________________________________________________________________________ | |
145 | Int_t AliTOFtrack::PropagateTo(Double_t xk,Double_t x0,Double_t rho) | |
146 | { | |
147 | // Propagates a track of particle with mass=pm to a reference plane | |
148 | // defined by x=xk through media of density=rho and radiationLength=x0 | |
149 | ||
150 | if (xk == fX) return 1; | |
151 | ||
152 | if (TMath::Abs(fC*xk - fE) >= 0.90000) { | |
153 | return 0; | |
154 | } | |
155 | ||
156 | // track Length measurement [SR, GSI, 17.02.2003] | |
157 | ||
158 | Double_t oldX = fX, oldY = fY, oldZ = fZ; | |
159 | ||
160 | Double_t x1=fX, x2=x1+(xk-x1), dx=x2-x1, y1=fY, z1=fZ; | |
161 | Double_t c1=fC*x1 - fE; | |
162 | if((c1*c1) > 1){ | |
163 | return 0;} | |
164 | Double_t r1=sqrt(1.- c1*c1); | |
165 | Double_t c2=fC*x2 - fE; | |
166 | if((c2*c2) > 1) { | |
167 | return 0; | |
168 | } | |
169 | Double_t r2=sqrt(1.- c2*c2); | |
170 | ||
171 | fY += dx*(c1+c2)/(r1+r2); | |
172 | fZ += dx*(c1+c2)/(c1*r2 + c2*r1)*fT; | |
173 | ||
174 | //f = F - 1 | |
175 | Double_t rr=r1+r2, cc=c1+c2, xx=x1+x2; | |
176 | Double_t f02=-dx*(2*rr + cc*(c1/r1 + c2/r2))/(rr*rr); | |
177 | Double_t f04= dx*(rr*xx + cc*(c1*x1/r1+c2*x2/r2))/(rr*rr); | |
178 | Double_t cr=c1*r2+c2*r1; | |
179 | Double_t f12=-dx*fT*(2*cr + cc*(c2*c1/r1-r1 + c1*c2/r2-r2))/(cr*cr); | |
180 | Double_t f13= dx*cc/cr; | |
181 | Double_t f14=dx*fT*(cr*xx-cc*(r1*x2-c2*c1*x1/r1+r2*x1-c1*c2*x2/r2))/(cr*cr); | |
182 | ||
183 | //b = C*ft | |
184 | Double_t b00=f02*fCey + f04*fCcy, b01=f12*fCey + f14*fCcy + f13*fCty; | |
185 | Double_t b10=f02*fCez + f04*fCcz, b11=f12*fCez + f14*fCcz + f13*fCtz; | |
186 | Double_t b20=f02*fCee + f04*fCce, b21=f12*fCee + f14*fCce + f13*fCte; | |
187 | Double_t b30=f02*fCte + f04*fCct, b31=f12*fCte + f14*fCct + f13*fCtt; | |
188 | Double_t b40=f02*fCce + f04*fCcc, b41=f12*fCce + f14*fCcc + f13*fCct; | |
189 | ||
190 | //a = f*b = f*C*ft | |
191 | Double_t a00=f02*b20+f04*b40,a01=f02*b21+f04*b41,a11=f12*b21+f14*b41+f13*b31; | |
192 | ||
193 | //F*C*Ft = C + (a + b + bt) | |
194 | fCyy += a00 + 2*b00; | |
195 | fCzy += a01 + b01 + b10; | |
196 | fCey += b20; | |
197 | fCty += b30; | |
198 | fCcy += b40; | |
199 | fCzz += a11 + 2*b11; | |
200 | fCez += b21; | |
201 | fCtz += b31; | |
202 | fCcz += b41; | |
203 | ||
204 | fX=x2; | |
205 | ||
206 | //Multiple scattering ****************** | |
207 | Double_t d=sqrt((x1-fX)*(x1-fX)+(y1-fY)*(y1-fY)+(z1-fZ)*(z1-fZ)); | |
208 | Double_t p2=(1.+ GetTgl()*GetTgl())/(Get1Pt()*Get1Pt()); | |
209 | Double_t beta2=p2/(p2 + GetMass()*GetMass()); | |
210 | Double_t theta2=14.1*14.1/(beta2*p2*1e6)*d/x0*rho; | |
211 | ||
212 | Double_t ey=fC*fX - fE, ez=fT; | |
213 | Double_t xz=fC*ez, zz1=ez*ez+1, xy=fE+ey; | |
214 | ||
215 | fCee += (2*ey*ez*ez*fE+1-ey*ey+ez*ez+fE*fE*ez*ez)*theta2; | |
216 | fCte += ez*zz1*xy*theta2; | |
217 | fCtt += zz1*zz1*theta2; | |
218 | fCce += xz*ez*xy*theta2; | |
219 | fCct += xz*zz1*theta2; | |
220 | fCcc += xz*xz*theta2; | |
221 | /* | |
222 | Double_t dc22 = (1-ey*ey+xz*xz*fX*fX)*theta2; | |
223 | Double_t dc32 = (xz*fX*zz1)*theta2; | |
224 | Double_t dc33 = (zz1*zz1)*theta2; | |
225 | Double_t dc42 = (xz*fX*xz)*theta2; | |
226 | Double_t dc43 = (zz1*xz)*theta2; | |
227 | Double_t dc44 = (xz*xz)*theta2; | |
228 | fCee += dc22; | |
229 | fCte += dc32; | |
230 | fCtt += dc33; | |
231 | fCce += dc42; | |
232 | fCct += dc43; | |
233 | fCcc += dc44; | |
234 | */ | |
235 | //Energy losses************************ | |
236 | if((5940*beta2/(1-beta2+1e-10) - beta2) < 0){return 0;} | |
237 | ||
238 | Double_t dE=0.153e-3/beta2*(log(5940*beta2/(1-beta2+1e-10)) - beta2)*d*rho; | |
239 | if (x1 < x2) dE=-dE; | |
240 | cc=fC; | |
241 | fC*=(1.- sqrt(p2+GetMass()*GetMass())/p2*dE); | |
242 | fE+=fX*(fC-cc); | |
243 | ||
244 | // track time measurement [SR, GSI 17.02.2002] | |
245 | if (x1 < x2) | |
246 | if (IsStartedTimeIntegral()) { | |
247 | Double_t l2 = (fX-oldX)*(fX-oldX) + (fY-oldY)*(fY-oldY) + (fZ-oldZ)*(fZ-oldZ); | |
248 | AddTimeStep(TMath::Sqrt(l2)); | |
249 | } | |
250 | ||
251 | return 1; | |
252 | } | |
253 | ||
254 | //_____________________________________________________________________________ | |
255 | Int_t AliTOFtrack::PropagateToInnerTOF( Bool_t holes) | |
256 | { | |
257 | // Propagates a track of particle with mass=pm to a reference plane | |
258 | // defined by x=xk through media of density=rho and radiationLength=x0 | |
259 | ||
260 | ||
261 | Double_t ymax=AliTOFGeometry::RinTOF()*TMath::Tan(0.5*AliTOFGeometry::GetAlpha()); | |
262 | Bool_t skip = kFALSE; | |
263 | Double_t y=this->GetYat(AliTOFGeometry::RinTOF(),skip); | |
264 | if(skip){ | |
265 | return 0; | |
266 | } | |
267 | if (y > ymax) { | |
268 | if (!this->Rotate(AliTOFGeometry::GetAlpha())) { | |
269 | return 0; | |
270 | } | |
271 | } else if (y <-ymax) { | |
272 | if (!this->Rotate(-AliTOFGeometry::GetAlpha())) { | |
273 | return 0; | |
274 | } | |
275 | } | |
276 | ||
277 | ||
278 | Double_t x = this->GetX(); | |
279 | Int_t nsteps=Int_t((370.-x)/0.5); // 0.5 cm Steps | |
280 | for (Int_t istep=0;istep<nsteps;istep++){ | |
281 | Float_t xp = x+istep*0.5; | |
282 | Double_t param[2]; | |
283 | this->GetPropagationParameters(holes,param); | |
284 | this->PropagateTo(xp,param[0],param[1]); | |
285 | ||
286 | } | |
287 | ||
288 | if(!this->PropagateTo(AliTOFGeometry::RinTOF()))return 0; | |
289 | ||
290 | return 1; | |
291 | ||
292 | } | |
293 | ||
294 | //_____________________________________________________________________________ | |
295 | Int_t AliTOFtrack::Rotate(Double_t alpha) | |
296 | { | |
297 | // Rotates track parameters in R*phi plane | |
298 | ||
299 | ||
300 | fAlpha += alpha; | |
301 | if (fAlpha<-TMath::Pi()) fAlpha += 2*TMath::Pi(); | |
302 | if (fAlpha>=TMath::Pi()) fAlpha -= 2*TMath::Pi(); | |
303 | ||
304 | Double_t x1=fX, y1=fY; | |
305 | Double_t ca=cos(alpha), sa=sin(alpha); | |
306 | Double_t r1=fC*fX - fE; | |
307 | ||
308 | fX = x1*ca + y1*sa; | |
309 | fY =-x1*sa + y1*ca; | |
310 | if((r1*r1) > 1) return 0; | |
311 | fE=fE*ca + (fC*y1 + sqrt(1.- r1*r1))*sa; | |
312 | ||
313 | Double_t r2=fC*fX - fE; | |
314 | if (TMath::Abs(r2) >= 0.90000) { | |
315 | cerr<<" AliTOFtrack warning: Rotation failed !\n"; | |
316 | return 0; | |
317 | } | |
318 | ||
319 | if((r2*r2) > 1) return 0; | |
320 | Double_t y0=fY + sqrt(1.- r2*r2)/fC; | |
321 | if ((fY-y0)*fC >= 0.) { | |
322 | cerr<<" AliTOFtrack warning: Rotation failed !!!\n"; | |
323 | return 0; | |
324 | } | |
325 | ||
326 | //f = F - 1 | |
327 | Double_t f00=ca-1, f24=(y1 - r1*x1/sqrt(1.- r1*r1))*sa, | |
328 | f20=fC*sa, f22=(ca + sa*r1/sqrt(1.- r1*r1))-1; | |
329 | ||
330 | //b = C*ft | |
331 | Double_t b00=fCyy*f00, b02=fCyy*f20+fCcy*f24+fCey*f22; | |
332 | Double_t b10=fCzy*f00, b12=fCzy*f20+fCcz*f24+fCez*f22; | |
333 | Double_t b20=fCey*f00, b22=fCey*f20+fCce*f24+fCee*f22; | |
334 | Double_t b30=fCty*f00, b32=fCty*f20+fCct*f24+fCte*f22; | |
335 | Double_t b40=fCcy*f00, b42=fCcy*f20+fCcc*f24+fCce*f22; | |
336 | ||
337 | //a = f*b = f*C*ft | |
338 | Double_t a00=f00*b00, a02=f00*b02, a22=f20*b02+f24*b42+f22*b22; | |
339 | ||
340 | //F*C*Ft = C + (a + b + bt) | |
341 | fCyy += a00 + 2*b00; | |
342 | fCzy += b10; | |
343 | fCey += a02+b20+b02; | |
344 | fCty += b30; | |
345 | fCcy += b40; | |
346 | fCez += b12; | |
347 | fCte += b32; | |
348 | fCee += a22 + 2*b22; | |
349 | fCce += b42; | |
350 | ||
351 | return 1; | |
352 | } | |
353 | ||
354 | ||
355 | ||
356 | //_________________________________________________________________________ | |
357 | void AliTOFtrack::GetPxPyPz(Double_t& px, Double_t& py, Double_t& pz) const | |
358 | { | |
359 | // Returns reconstructed track momentum in the global system. | |
360 | ||
361 | Double_t pt=TMath::Abs(GetPt()); // GeV/c | |
362 | Double_t r=fC*fX-fE; | |
363 | ||
364 | Double_t y0; | |
365 | if(r > 1) { py = pt; px = 0; } | |
366 | else if(r < -1) { py = -pt; px = 0; } | |
367 | else { | |
368 | y0=fY + sqrt(1.- r*r)/fC; | |
369 | px=-pt*(fY-y0)*fC; //cos(phi); | |
370 | py=-pt*(fE-fX*fC); //sin(phi); | |
371 | } | |
372 | pz=pt*fT; | |
373 | Double_t tmp=px*TMath::Cos(fAlpha) - py*TMath::Sin(fAlpha); | |
374 | py=px*TMath::Sin(fAlpha) + py*TMath::Cos(fAlpha); | |
375 | px=tmp; | |
376 | ||
377 | } | |
378 | ||
379 | //_________________________________________________________________________ | |
380 | void AliTOFtrack::GetGlobalXYZ(Double_t& x, Double_t& y, Double_t& z) const | |
381 | { | |
382 | // Returns reconstructed track coordinates in the global system. | |
383 | ||
384 | x = fX; y = fY; z = fZ; | |
385 | Double_t tmp=x*TMath::Cos(fAlpha) - y*TMath::Sin(fAlpha); | |
386 | y=x*TMath::Sin(fAlpha) + y*TMath::Cos(fAlpha); | |
387 | x=tmp; | |
388 | ||
389 | } | |
390 | ||
391 | //_________________________________________________________________________ | |
392 | void AliTOFtrack::ResetCovariance() { | |
393 | // | |
394 | // Resets covariance matrix | |
395 | // | |
396 | ||
397 | fCyy*=10.; | |
398 | fCzy=0.; fCzz*=10.; | |
399 | fCey=0.; fCez=0.; fCee*=10.; | |
400 | fCty=0.; fCtz=0.; fCte=0.; fCtt*=10.; | |
401 | fCcy=0.; fCcz=0.; fCce=0.; fCct=0.; fCcc*=10.; | |
402 | } | |
403 | ||
404 | ||
405 | //_________________________________________________________________________ | |
406 | void AliTOFtrack::ResetCovariance(Float_t mult) { | |
407 | // | |
408 | // Resets covariance matrix | |
409 | // | |
410 | ||
411 | fCyy*=mult; | |
412 | fCzy*=0.; fCzz*=mult; | |
413 | fCey*=0.; fCez*=0.; fCee*=mult; | |
414 | fCty*=0.; fCtz*=0.; fCte*=0.; fCtt*=mult; | |
415 | fCcy*=0.; fCcz*=0.; fCce*=0.; fCct*=0.; fCcc*=mult; | |
416 | } | |
417 | ||
418 | //_____________________________________________________________________________ | |
419 | Int_t AliTOFtrack::Compare(const TObject *o) const { | |
420 | //----------------------------------------------------------------- | |
421 | // This function compares tracks according to the their curvature | |
422 | //----------------------------------------------------------------- | |
423 | AliTOFtrack *t=(AliTOFtrack*)o; | |
424 | Double_t co=t->GetSigmaY2()*t->GetSigmaZ2(); | |
425 | Double_t c =GetSigmaY2()*GetSigmaZ2(); | |
426 | if (c>co) return 1; | |
427 | else if (c<co) return -1; | |
428 | return 0; | |
429 | } | |
430 | ||
431 | //_____________________________________________________________________________ | |
432 | void AliTOFtrack::GetPropagationParameters(Bool_t holes, Double_t *param) { | |
433 | ||
434 | ||
435 | Double_t thetamin = (90.-31.1) * TMath::Pi()/180.; | |
436 | Double_t thetamax = (90.+31.1) * TMath::Pi()/180.; | |
437 | ||
438 | Double_t zmin = -55.; | |
439 | Double_t zmax = 55.; | |
440 | ||
441 | Double_t rTPC = 261.53; | |
442 | Double_t rTPCTRD = 294.5; | |
443 | Double_t rTRD = 369.1; | |
444 | ||
445 | Double_t x0TPC = 40.; | |
446 | Double_t rhoTPC =0.06124; | |
447 | ||
448 | Double_t x0Air = 36.66; | |
449 | Double_t rhoAir =1.2931e-3; | |
450 | ||
451 | Double_t x0TRD = 171.7; | |
452 | Double_t rhoTRD =0.33; | |
453 | ||
454 | Int_t isec = this->GetSector(); | |
455 | Double_t xtr,ytr,ztr; | |
456 | this->GetGlobalXYZ(xtr,ytr,ztr); | |
457 | Float_t thetatr = TMath::ATan2(TMath::Sqrt(xtr*xtr+ytr*ytr),ztr); | |
458 | ||
459 | if(holes){ | |
460 | if (isec == 0 || isec == 1 || isec == 2 ) { | |
461 | if( thetatr>=thetamin && thetatr<=thetamax){ | |
462 | x0TRD= x0Air; | |
463 | rhoTRD = rhoAir; | |
464 | } | |
465 | } | |
466 | if (isec == 11 || isec == 12 || isec == 13 || isec == 14 || isec == 15 ) { | |
467 | if( ztr>=zmin && ztr<=zmax){ | |
468 | x0TRD= x0Air; | |
469 | rhoTRD = rhoAir; | |
470 | } | |
471 | } | |
472 | } | |
473 | ||
474 | if(this->GetX() <= rTPC) | |
475 | {param[0]=x0TPC;param[1]=rhoTPC;} | |
476 | else if(this->GetX() > rTPC && this->GetX() < rTPCTRD) | |
477 | {param[0]=x0Air;param[1]=rhoAir;} | |
478 | else if(this->GetX() >= rTPCTRD && this->GetX() < rTRD) | |
479 | {param[0]=x0TRD;param[1]=rhoTRD;} | |
480 | else if(this->GetX() >= rTRD ) | |
481 | {param[0]=x0Air;param[1]=rhoAir;} | |
482 | ||
483 | } |