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46d29e70 | 1 | /************************************************************************** |
2 | * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. * | |
3 | * * | |
4 | * Author: The ALICE Off-line Project. * | |
5 | * Contributors are mentioned in the code where appropriate. * | |
6 | * * | |
7 | * Permission to use, copy, modify and distribute this software and its * | |
8 | * documentation strictly for non-commercial purposes is hereby granted * | |
9 | * without fee, provided that the above copyright notice appears in all * | |
10 | * copies and that both the copyright notice and this permission notice * | |
11 | * appear in the supporting documentation. The authors make no claims * | |
12 | * about the suitability of this software for any purpose. It is * | |
13 | * provided "as is" without express or implied warranty. * | |
14 | **************************************************************************/ | |
15 | ||
16 | /* | |
17 | $Log$ | |
3ab6f951 | 18 | Revision 1.7 2001/05/28 17:07:58 hristov |
19 | Last minute changes; ExB correction in AliTRDclusterizerV1; taking into account of material in G10 TEC frames and material between TEC planes (C.Blume,S.Sedykh) | |
20 | ||
2a941f4e | 21 | Revision 1.4 2000/12/08 16:07:02 cblume |
22 | Update of the tracking by Sergei | |
23 | ||
bbf92647 | 24 | Revision 1.3 2000/10/15 23:40:01 cblume |
25 | Remove AliTRDconst | |
26 | ||
0e9c2ad5 | 27 | Revision 1.2 2000/10/06 16:49:46 cblume |
28 | Made Getters const | |
29 | ||
46d29e70 | 30 | Revision 1.1.2.1 2000/09/22 14:47:52 cblume |
31 | Add the tracking code | |
32 | ||
33 | */ | |
34 | ||
35 | #include <iostream.h> | |
36 | ||
37 | #include <TObject.h> | |
38 | ||
39 | #include "AliTRD.h" | |
46d29e70 | 40 | #include "AliTRDgeometry.h" |
41 | #include "AliTRDcluster.h" | |
42 | #include "AliTRDtrack.h" | |
43 | ||
44 | ClassImp(AliTRDtrack) | |
45 | ||
46 | ||
47 | //_____________________________________________________________________________ | |
48 | ||
a819a5f7 | 49 | AliTRDtrack::AliTRDtrack(const AliTRDcluster *c, UInt_t index, |
50 | const Double_t xx[5], const Double_t cc[15], Double_t xref, Double_t alpha) { | |
46d29e70 | 51 | //----------------------------------------------------------------- |
52 | // This is the main track constructor. | |
53 | //----------------------------------------------------------------- | |
54 | fLab=-1; | |
55 | fChi2=0.; | |
56 | fdEdx=0.; | |
57 | ||
58 | fAlpha=alpha; | |
59 | fX=xref; | |
60 | ||
61 | fY=xx[0]; fZ=xx[1]; fC=xx[2]; fE=xx[3]; fT=xx[4]; | |
62 | ||
63 | fCyy=cc[0]; | |
64 | fCzy=cc[1]; fCzz=cc[2]; | |
65 | fCcy=cc[3]; fCcz=cc[4]; fCcc=cc[5]; | |
66 | fCey=cc[6]; fCez=cc[7]; fCec=cc[8]; fCee=cc[9]; | |
67 | fCty=cc[10]; fCtz=cc[11]; fCtc=cc[12]; fCte=cc[13]; fCtt=cc[14]; | |
68 | ||
69 | fN=0; | |
a819a5f7 | 70 | fIndex[fN]=index; |
a2b90f83 | 71 | |
a819a5f7 | 72 | Float_t q = c->GetQ(); |
73 | Double_t s = fX*fC - fE, t=fT; | |
74 | q *= TMath::Sqrt((1-s*s)/(1+t*t)); | |
75 | fdQdl[fN++] = q; | |
46d29e70 | 76 | } |
77 | ||
78 | //_____________________________________________________________________________ | |
79 | AliTRDtrack::AliTRDtrack(const AliTRDtrack& t) { | |
80 | // | |
81 | // Copy constructor. | |
82 | // | |
83 | ||
84 | fLab=t.fLab; | |
85 | ||
86 | fChi2=t.fChi2; | |
87 | fdEdx=t.fdEdx; | |
88 | ||
89 | fAlpha=t.fAlpha; | |
90 | fX=t.fX; | |
91 | ||
92 | fY=t.fY; fZ=t.fZ; fC=t.fC; fE=t.fE; fT=t.fT; | |
93 | ||
94 | fCyy=t.fCyy; | |
95 | fCzy=t.fCzy; fCzz=t.fCzz; | |
96 | fCcy=t.fCcy; fCcz=t.fCcz; fCcc=t.fCcc; | |
97 | fCey=t.fCey; fCez=t.fCez; fCec=t.fCec; fCee=t.fCee; | |
98 | fCty=t.fCty; fCtz=t.fCtz; fCtc=t.fCtc; fCte=t.fCte; fCtt=t.fCtt; | |
99 | ||
100 | fN=t.fN; | |
a819a5f7 | 101 | for (Int_t i=0; i<fN; i++) { |
102 | fIndex[i]=t.fIndex[i]; | |
103 | fdQdl[i]=t.fdQdl[i]; | |
104 | } | |
46d29e70 | 105 | } |
106 | ||
107 | //_____________________________________________________________________________ | |
108 | void AliTRDtrack::GetCovariance(Double_t cc[15]) const { | |
109 | cc[0]=fCyy; | |
110 | cc[1]=fCzy; cc[2]=fCzz; | |
111 | cc[3]=fCcy; cc[4]=fCcz; cc[5]=fCcc; | |
112 | cc[6]=fCey; cc[7]=fCez; cc[8]=fCec; cc[9]=fCee; | |
113 | cc[10]=fCty; cc[11]=fCtz; cc[12]=fCtc; cc[13]=fCte; cc[14]=fCtt; | |
114 | } | |
115 | ||
116 | //_____________________________________________________________________________ | |
2a941f4e | 117 | Int_t AliTRDtrack::Compare(const TObject *o) const { |
46d29e70 | 118 | |
119 | // Compares tracks according to their Y2 | |
120 | ||
121 | AliTRDtrack *t=(AliTRDtrack*)o; | |
122 | // Double_t co=t->GetSigmaY2(); | |
123 | // Double_t c =GetSigmaY2(); | |
124 | ||
125 | Double_t co=TMath::Abs(t->GetC()); | |
126 | Double_t c =TMath::Abs(GetC()); | |
127 | ||
128 | if (c>co) return 1; | |
129 | else if (c<co) return -1; | |
130 | return 0; | |
131 | } | |
132 | ||
a819a5f7 | 133 | //_____________________________________________________________________________ |
134 | void AliTRDtrack::CookdEdx(Double_t low, Double_t up) { | |
135 | //----------------------------------------------------------------- | |
136 | // Calculates dE/dX within the "low" and "up" cuts. | |
137 | //----------------------------------------------------------------- | |
138 | Int_t i; | |
139 | Int_t nc=GetNclusters(); | |
140 | ||
141 | Float_t sorted[200]; | |
142 | for (i=0; i<200; i++) sorted[i]=fdQdl[i]; | |
143 | ||
144 | Int_t swap; | |
145 | do { | |
146 | swap=0; | |
147 | for (i=0; i<nc-1; i++) { | |
148 | if (sorted[i]<=sorted[i+1]) continue; | |
149 | Float_t tmp=sorted[i]; | |
150 | sorted[i]=sorted[i+1]; sorted[i+1]=tmp; | |
151 | swap++; | |
152 | } | |
153 | } while (swap); | |
154 | ||
155 | Int_t nl=Int_t(low*nc), nu=Int_t(up*nc); | |
156 | Float_t dedx=0; | |
157 | for (i=nl; i<=nu; i++) dedx += sorted[i]; | |
158 | dedx /= (nu-nl+1); | |
159 | SetdEdx(dedx); | |
160 | } | |
161 | ||
162 | ||
163 | ||
46d29e70 | 164 | //_____________________________________________________________________________ |
165 | Int_t AliTRDtrack::PropagateTo(Double_t xk,Double_t x0,Double_t rho,Double_t pm) | |
166 | { | |
167 | // Propagates a track of particle with mass=pm to a reference plane | |
168 | // defined by x=xk through media of density=rho and radiationLength=x0 | |
169 | ||
170 | if (TMath::Abs(fC*xk - fE) >= 0.99999) { | |
171 | if (fN>4) cerr<<fN<<" AliTRDtrack warning: Propagation failed !\n"; | |
172 | return 0; | |
173 | } | |
174 | ||
175 | Double_t x1=fX, x2=x1+(xk-x1), dx=x2-x1, y1=fY, z1=fZ; | |
176 | Double_t c1=fC*x1 - fE, r1=sqrt(1.- c1*c1); | |
177 | Double_t c2=fC*x2 - fE, r2=sqrt(1.- c2*c2); | |
178 | ||
179 | fY += dx*(c1+c2)/(r1+r2); | |
180 | fZ += dx*(c1+c2)/(c1*r2 + c2*r1)*fT; | |
181 | ||
182 | //f = F - 1 | |
183 | Double_t rr=r1+r2, cc=c1+c2, xx=x1+x2; | |
184 | Double_t f02= dx*(rr*xx + cc*(c1*x1/r1+c2*x2/r2))/(rr*rr); | |
185 | Double_t f03=-dx*(2*rr + cc*(c1/r1 + c2/r2))/(rr*rr); | |
186 | Double_t cr=c1*r2+c2*r1; | |
187 | Double_t f12= dx*fT*(cr*xx-cc*(r1*x2-c2*c1*x1/r1+r2*x1-c1*c2*x2/r2))/(cr*cr); | |
188 | Double_t f13=-dx*fT*(2*cr + cc*(c2*c1/r1-r1 + c1*c2/r2-r2))/(cr*cr); | |
189 | Double_t f14= dx*cc/cr; | |
190 | ||
191 | //b = C*ft | |
192 | Double_t b00=f02*fCcy + f03*fCey, b01=f12*fCcy + f13*fCey + f14*fCty; | |
193 | Double_t b10=f02*fCcz + f03*fCez, b11=f12*fCcz + f13*fCez + f14*fCtz; | |
194 | Double_t b20=f02*fCcc + f03*fCec, b21=f12*fCcc + f13*fCec + f14*fCtc; | |
195 | Double_t b30=f02*fCec + f03*fCee, b31=f12*fCec + f13*fCee + f14*fCte; | |
196 | Double_t b40=f02*fCtc + f03*fCte, b41=f12*fCtc + f13*fCte + f14*fCtt; | |
197 | ||
198 | //a = f*b = f*C*ft | |
199 | Double_t a00=f02*b20+f03*b30,a01=f02*b21+f03*b31,a11=f12*b21+f13*b31+f14*b41; | |
200 | ||
201 | //F*C*Ft = C + (a + b + bt) | |
202 | fCyy += a00 + 2*b00; | |
203 | fCzy += a01 + b01 + b10; | |
204 | fCcy += b20; | |
205 | fCey += b30; | |
206 | fCty += b40; | |
207 | fCzz += a11 + 2*b11; | |
208 | fCcz += b21; | |
209 | fCez += b31; | |
210 | fCtz += b41; | |
211 | ||
212 | fX=x2; | |
213 | ||
214 | ||
215 | //Multiple scattering ****************** | |
216 | ||
217 | Double_t d=sqrt((x1-fX)*(x1-fX)+(y1-fY)*(y1-fY)+(z1-fZ)*(z1-fZ)); | |
218 | Double_t p2=GetPt()*GetPt()*(1.+fT*fT); | |
219 | Double_t beta2=p2/(p2 + pm*pm); | |
220 | ||
221 | Double_t ey=fC*fX - fE, ez=fT; | |
222 | Double_t xz=fC*ez, zz1=ez*ez+1, xy=fE+ey; | |
223 | ||
224 | Double_t theta2=14.1*14.1/(beta2*p2*1e6)*d/x0*rho; | |
225 | fCcc += xz*xz*theta2; | |
226 | fCec += xz*ez*xy*theta2; | |
227 | fCtc += xz*zz1*theta2; | |
228 | fCee += (2*ey*ez*ez*fE+1-ey*ey+ez*ez+fE*fE*ez*ez)*theta2; | |
229 | fCte += ez*zz1*xy*theta2; | |
230 | fCtt += zz1*zz1*theta2; | |
231 | ||
232 | ||
233 | //Energy losses************************ | |
234 | ||
235 | Double_t dE=0.153e-3/beta2*(log(5940*beta2/(1-beta2)) - beta2)*d*rho; | |
236 | if (x1 < x2) dE=-dE; | |
237 | fC*=(1.- sqrt(p2+pm*pm)/p2*dE); | |
238 | //fE*=(1.- sqrt(p2+pm*pm)/p2*dE); | |
239 | ||
240 | return 1; | |
241 | ||
242 | } | |
243 | ||
244 | ||
46d29e70 | 245 | //_____________________________________________________________________________ |
246 | void AliTRDtrack::Update(const AliTRDcluster *c, Double_t chisq, UInt_t index) | |
247 | { | |
248 | // Assignes found cluster to the track and updates track information | |
249 | ||
a819a5f7 | 250 | Double_t r00=c->GetSigmaY2(), r01=0., r11=c->GetSigmaZ2(); |
46d29e70 | 251 | r00+=fCyy; r01+=fCzy; r11+=fCzz; |
252 | Double_t det=r00*r11 - r01*r01; | |
253 | Double_t tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det; | |
254 | ||
255 | Double_t k00=fCyy*r00+fCzy*r01, k01=fCyy*r01+fCzy*r11; | |
256 | Double_t k10=fCzy*r00+fCzz*r01, k11=fCzy*r01+fCzz*r11; | |
257 | Double_t k20=fCcy*r00+fCcz*r01, k21=fCcy*r01+fCcz*r11; | |
258 | Double_t k30=fCey*r00+fCez*r01, k31=fCey*r01+fCez*r11; | |
259 | Double_t k40=fCty*r00+fCtz*r01, k41=fCty*r01+fCtz*r11; | |
260 | ||
261 | Double_t dy=c->GetY() - fY, dz=c->GetZ() - fZ; | |
262 | Double_t cur=fC + k20*dy + k21*dz, eta=fE + k30*dy + k31*dz; | |
263 | if (TMath::Abs(cur*fX-eta) >= 0.99999) { | |
264 | if (fN>4) cerr<<fN<<" AliTRDtrack warning: Filtering failed !\n"; | |
265 | return; | |
266 | } | |
267 | ||
268 | fY += k00*dy + k01*dz; | |
269 | fZ += k10*dy + k11*dz; | |
270 | fC = cur; | |
271 | fE = eta; | |
272 | fT += k40*dy + k41*dz; | |
273 | ||
274 | Double_t c01=fCzy, c02=fCcy, c03=fCey, c04=fCty; | |
275 | Double_t c12=fCcz, c13=fCez, c14=fCtz; | |
276 | ||
277 | fCyy-=k00*fCyy+k01*fCzy; fCzy-=k00*c01+k01*fCzz; | |
278 | fCcy-=k00*c02+k01*c12; fCey-=k00*c03+k01*c13; | |
279 | fCty-=k00*c04+k01*c14; | |
280 | ||
281 | fCzz-=k10*c01+k11*fCzz; | |
282 | fCcz-=k10*c02+k11*c12; fCez-=k10*c03+k11*c13; | |
283 | fCtz-=k10*c04+k11*c14; | |
284 | ||
285 | fCcc-=k20*c02+k21*c12; fCec-=k20*c03+k21*c13; | |
286 | fCtc-=k20*c04+k21*c14; | |
287 | ||
288 | fCee-=k30*c03+k31*c13; | |
289 | fCte-=k30*c04+k31*c14; | |
290 | ||
291 | fCtt-=k40*c04+k41*c14; | |
292 | ||
a819a5f7 | 293 | fIndex[fN]=index; |
294 | ||
295 | Float_t q = c->GetQ(); | |
296 | Double_t s = fX*fC - fE, t=fT; | |
297 | q *= TMath::Sqrt((1-s*s)/(1+t*t)); | |
298 | fdQdl[fN++] = q; | |
299 | ||
46d29e70 | 300 | fChi2 += chisq; |
301 | ||
302 | // cerr<<"in update: fIndex["<<fN<<"] = "<<index<<endl; | |
303 | } | |
304 | ||
305 | //_____________________________________________________________________________ | |
306 | Int_t AliTRDtrack::Rotate(Double_t alpha) | |
307 | { | |
308 | // Rotates track parameters in R*phi plane | |
309 | ||
310 | fAlpha += alpha; | |
311 | ||
312 | Double_t x1=fX, y1=fY; | |
313 | Double_t ca=cos(alpha), sa=sin(alpha); | |
314 | Double_t r1=fC*fX - fE; | |
315 | ||
316 | fX = x1*ca + y1*sa; | |
317 | fY=-x1*sa + y1*ca; | |
318 | fE=fE*ca + (fC*y1 + sqrt(1.- r1*r1))*sa; | |
319 | ||
320 | Double_t r2=fC*fX - fE; | |
321 | if (TMath::Abs(r2) >= 0.99999) { | |
322 | if (fN>4) cerr<<fN<<" AliTRDtrack warning: Rotation failed !\n"; | |
323 | return 0; | |
324 | } | |
325 | ||
326 | Double_t y0=fY + sqrt(1.- r2*r2)/fC; | |
327 | if ((fY-y0)*fC >= 0.) { | |
328 | if (fN>4) cerr<<fN<<" AliTRDtrack warning: Rotation failed !!!\n"; | |
329 | return 0; | |
330 | } | |
331 | ||
332 | //f = F - 1 | |
333 | Double_t f00=ca-1, f32=(y1 - r1*x1/sqrt(1.- r1*r1))*sa, | |
334 | f30=fC*sa, f33=(ca + sa*r1/sqrt(1.- r1*r1))-1; | |
335 | ||
336 | //b = C*ft | |
337 | Double_t b00=fCyy*f00, b03=fCyy*f30+fCcy*f32+fCey*f33; | |
338 | Double_t b10=fCzy*f00, b13=fCzy*f30+fCcz*f32+fCez*f33; | |
339 | Double_t b20=fCcy*f00, b23=fCcy*f30+fCcc*f32+fCec*f33; | |
340 | Double_t b30=fCey*f00, b33=fCey*f30+fCec*f32+fCee*f33; | |
341 | Double_t b40=fCty*f00, b43=fCty*f30+fCtc*f32+fCte*f33; | |
342 | ||
343 | //a = f*b = f*C*ft | |
344 | Double_t a00=f00*b00, a03=f00*b03, a33=f30*b03+f32*b23+f33*b33; | |
345 | ||
346 | // *** Double_t dy2=fCyy; | |
347 | ||
348 | //F*C*Ft = C + (a + b + bt) | |
349 | fCyy += a00 + 2*b00; | |
350 | fCzy += b10; | |
351 | fCcy += b20; | |
352 | fCey += a03+b30+b03; | |
353 | fCty += b40; | |
354 | fCez += b13; | |
355 | fCec += b23; | |
356 | fCee += a33 + 2*b33; | |
357 | fCte += b43; | |
358 | ||
359 | // *** fCyy+=dy2*sa*sa*r1*r1/(1.- r1*r1); | |
360 | // *** fCzz+=d2y*sa*sa*fT*fT/(1.- r1*r1); | |
361 | ||
362 | return 1; | |
363 | } | |
364 | ||
365 | ||
46d29e70 | 366 | //_____________________________________________________________________________ |
367 | Double_t AliTRDtrack::GetPredictedChi2(const AliTRDcluster *c) const | |
368 | { | |
a819a5f7 | 369 | /* |
370 | Double_t r00=c->GetSigmaY2(), r01=0., r11=c->GetSigmaZ2(); | |
46d29e70 | 371 | r00+=fCyy; r01+=fCzy; r11+=fCzz; |
372 | ||
373 | Double_t det=r00*r11 - r01*r01; | |
374 | if (TMath::Abs(det) < 1.e-10) { | |
375 | if (fN>4) cerr<<fN<<" AliTRDtrack warning: Singular matrix !\n"; | |
376 | return 1e10; | |
377 | } | |
378 | Double_t tmp=r00; r00=r11; r11=tmp; r01=-r01; | |
379 | ||
380 | Double_t dy=c->GetY() - fY, dz=c->GetZ() - fZ; | |
381 | ||
382 | return (dy*r00*dy + 2*r01*dy*dz + dz*r11*dz)/det; | |
a819a5f7 | 383 | */ |
384 | ||
385 | Double_t dy=c->GetY() - fY; | |
386 | Double_t r00=c->GetSigmaY2(); | |
387 | ||
388 | return (dy*dy)/r00; | |
389 | ||
46d29e70 | 390 | } |
391 | ||
392 | ||
393 | //_________________________________________________________________________ | |
394 | void AliTRDtrack::GetPxPyPz(Double_t& px, Double_t& py, Double_t& pz) const | |
395 | { | |
396 | // Returns reconstructed track momentum in the global system. | |
397 | ||
398 | Double_t pt=TMath::Abs(GetPt()); // GeV/c | |
399 | Double_t r=fC*fX-fE; | |
400 | Double_t y0=fY + sqrt(1.- r*r)/fC; | |
401 | px=-pt*(fY-y0)*fC; //cos(phi); | |
402 | py=-pt*(fE-fX*fC); //sin(phi); | |
403 | pz=pt*fT; | |
404 | Double_t tmp=px*TMath::Cos(fAlpha) - py*TMath::Sin(fAlpha); | |
405 | py=px*TMath::Sin(fAlpha) + py*TMath::Cos(fAlpha); | |
406 | px=tmp; | |
407 | ||
408 | } | |
409 | ||
410 | //____________________________________________________________________________ | |
411 | void AliTRDtrack::Streamer(TBuffer &R__b) | |
412 | { | |
3ab6f951 | 413 | Int_t i; |
414 | ||
46d29e70 | 415 | if (R__b.IsReading()) { |
416 | Version_t R__v = R__b.ReadVersion(); if (R__v) { } | |
417 | TObject::Streamer(R__b); | |
418 | R__b >> fLab; | |
419 | R__b >> fChi2; | |
420 | R__b >> fdEdx; | |
421 | R__b >> fAlpha; | |
422 | R__b >> fX; | |
423 | R__b >> fY; | |
424 | R__b >> fZ; | |
425 | R__b >> fC; | |
426 | R__b >> fE; | |
427 | R__b >> fT; | |
428 | R__b >> fCyy; | |
429 | R__b >> fCzy; | |
430 | R__b >> fCzz; | |
431 | R__b >> fCcy; | |
432 | R__b >> fCcz; | |
433 | R__b >> fCcc; | |
434 | R__b >> fCey; | |
435 | R__b >> fCez; | |
436 | R__b >> fCec; | |
437 | R__b >> fCee; | |
438 | R__b >> fCty; | |
439 | R__b >> fCtz; | |
440 | R__b >> fCtc; | |
441 | R__b >> fCte; | |
442 | R__b >> fCtt; | |
443 | R__b >> fN; | |
3ab6f951 | 444 | for (i=0; i<fN; i++) R__b >> fIndex[i]; |
445 | for (i=0; i<fN; i++) R__b >> fdQdl[i]; | |
46d29e70 | 446 | } else { |
447 | R__b.WriteVersion(AliTRDtrack::IsA()); | |
448 | TObject::Streamer(R__b); | |
449 | R__b << fLab; | |
450 | R__b << fChi2; | |
451 | R__b << fdEdx; | |
452 | R__b << fAlpha; | |
453 | R__b << fX; | |
454 | R__b << fY; | |
455 | R__b << fZ; | |
456 | R__b << fC; | |
457 | R__b << fE; | |
458 | R__b << fT; | |
459 | R__b << fCyy; | |
460 | R__b << fCzy; | |
461 | R__b << fCzz; | |
462 | R__b << fCcy; | |
463 | R__b << fCcz; | |
464 | R__b << fCcc; | |
465 | R__b << fCey; | |
466 | R__b << fCez; | |
467 | R__b << fCec; | |
468 | R__b << fCee; | |
469 | R__b << fCty; | |
470 | R__b << fCtz; | |
471 | R__b << fCtc; | |
472 | R__b << fCte; | |
473 | R__b << fCtt; | |
474 | R__b << fN; | |
3ab6f951 | 475 | for (i=0; i<fN; i++) R__b << fIndex[i]; |
476 | for (i=0; i<fN; i++) R__b << fdQdl[i]; | |
46d29e70 | 477 | } |
478 | } | |
479 | ||
46d29e70 | 480 |