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Adding some QCD diffractive states to the PDG list
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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$Log$
9c9d2487 18Revision 1.17 2003/02/19 09:02:28 hristov
19Track time measurement (S.Radomski)
20
0d5b5c27 21Revision 1.16 2003/02/10 14:06:10 cblume
22Add tracking without tilted pads as option
23
b8dc2353 24Revision 1.15 2003/01/27 16:34:49 cblume
25Update of tracking by Sergei and Chuncheng
26
b3a5a838 27Revision 1.14 2002/11/07 15:52:09 cblume
28Update of tracking code for tilted pads
29
fd621f36 30Revision 1.13 2002/10/22 15:53:08 alibrary
31Introducing Riostream.h
32
a2cb5b3d 33Revision 1.12 2002/10/14 14:57:44 hristov
34Merging the VirtualMC branch to the main development branch (HEAD)
35
b9d0a01d 36Revision 1.8.10.2 2002/07/24 10:09:31 alibrary
37Updating VirtualMC
38
fd621f36 39RRevision 1.11 2002/06/13 12:09:58 hristov
b9d0a01d 40Minor corrections
41
ca6c93d6 42Revision 1.10 2002/06/12 09:54:35 cblume
43Update of tracking code provided by Sergei
44
0a29d0f1 45Revision 1.8 2001/05/30 12:17:47 hristov
46Loop variables declared once
47
3ab6f951 48Revision 1.7 2001/05/28 17:07:58 hristov
49Last minute changes; ExB correction in AliTRDclusterizerV1; taking into account of material in G10 TEC frames and material between TEC planes (C.Blume,S.Sedykh)
50
2a941f4e 51Revision 1.4 2000/12/08 16:07:02 cblume
52Update of the tracking by Sergei
53
bbf92647 54Revision 1.3 2000/10/15 23:40:01 cblume
55Remove AliTRDconst
56
0e9c2ad5 57Revision 1.2 2000/10/06 16:49:46 cblume
58Made Getters const
59
46d29e70 60Revision 1.1.2.1 2000/09/22 14:47:52 cblume
61Add the tracking code
62
63*/
64
a2cb5b3d 65#include <Riostream.h>
5443e65e 66#include <TObject.h>
46d29e70 67
46d29e70 68#include "AliTRDgeometry.h"
69#include "AliTRDcluster.h"
70#include "AliTRDtrack.h"
5443e65e 71#include "../TPC/AliTPCtrack.h"
46d29e70 72
b3a5a838 73
46d29e70 74ClassImp(AliTRDtrack)
75
76
77//_____________________________________________________________________________
78
a819a5f7 79AliTRDtrack::AliTRDtrack(const AliTRDcluster *c, UInt_t index,
5443e65e 80 const Double_t xx[5], const Double_t cc[15],
81 Double_t xref, Double_t alpha) : AliKalmanTrack() {
46d29e70 82 //-----------------------------------------------------------------
83 // This is the main track constructor.
84 //-----------------------------------------------------------------
5443e65e 85
86 fSeedLab = -1;
46d29e70 87
88 fAlpha=alpha;
5443e65e 89 if (fAlpha<-TMath::Pi()) fAlpha += 2*TMath::Pi();
90 if (fAlpha>=TMath::Pi()) fAlpha -= 2*TMath::Pi();
91
46d29e70 92 fX=xref;
93
b3a5a838 94 fY=xx[0]; fZ=xx[1]; fE=xx[2]; fT=xx[3]; fC=xx[4];
46d29e70 95
96 fCyy=cc[0];
97 fCzy=cc[1]; fCzz=cc[2];
b3a5a838 98 fCey=cc[3]; fCez=cc[4]; fCee=cc[5];
99 fCty=cc[6]; fCtz=cc[7]; fCte=cc[8]; fCtt=cc[9];
b8dc2353 100 fCcy=cc[10]; fCcz=cc[11]; fCce=cc[12]; fCct=cc[13]; fCcc=cc[14];
101
5443e65e 102 fIndex[0]=index;
103 SetNumberOfClusters(1);
104
105 fdEdx=0.;
a2b90f83 106
b3a5a838 107 fLhElectron = 0.0;
9c9d2487 108 fNWrong = 0;
109 fNRotate = 0;
b3a5a838 110
5443e65e 111 Double_t q = TMath::Abs(c->GetQ());
a819a5f7 112 Double_t s = fX*fC - fE, t=fT;
5443e65e 113 if(s*s < 1) q *= TMath::Sqrt((1-s*s)/(1+t*t));
114
115 fdQdl[0] = q;
0d5b5c27 116
117 // initialisation [SR, GSI 18.02.2003] (i startd for 1)
118 for(Int_t i=1; i<kMAX_CLUSTERS_PER_TRACK; i++) {
119 fdQdl[i] = 0;
120 fIndex[i] = 0;
121 }
46d29e70 122}
123
124//_____________________________________________________________________________
5443e65e 125AliTRDtrack::AliTRDtrack(const AliTRDtrack& t) : AliKalmanTrack(t) {
46d29e70 126 //
127 // Copy constructor.
128 //
b8dc2353 129
5443e65e 130 SetLabel(t.GetLabel());
131 fSeedLab=t.GetSeedLabel();
46d29e70 132
5443e65e 133 SetChi2(t.GetChi2());
46d29e70 134 fdEdx=t.fdEdx;
135
b3a5a838 136 fLhElectron = 0.0;
9c9d2487 137 fNWrong = t.fNWrong;
138 fNRotate = t.fNRotate;
b3a5a838 139
46d29e70 140 fAlpha=t.fAlpha;
141 fX=t.fX;
142
b8dc2353 143 fY=t.fY; fZ=t.fZ; fE=t.fE; fT=t.fT; fC=t.fC;
46d29e70 144
145 fCyy=t.fCyy;
146 fCzy=t.fCzy; fCzz=t.fCzz;
b3a5a838 147 fCey=t.fCey; fCez=t.fCez; fCee=t.fCee;
148 fCty=t.fCty; fCtz=t.fCtz; fCte=t.fCte; fCtt=t.fCtt;
b8dc2353 149 fCcy=t.fCcy; fCcz=t.fCcz; fCce=t.fCce; fCct=t.fCct; fCcc=t.fCcc;
46d29e70 150
5443e65e 151 Int_t n=t.GetNumberOfClusters();
152 SetNumberOfClusters(n);
153 for (Int_t i=0; i<n; i++) {
a819a5f7 154 fIndex[i]=t.fIndex[i];
155 fdQdl[i]=t.fdQdl[i];
156 }
b8dc2353 157
0d5b5c27 158 // initialisation (i starts from n) [SR, GSI, 18.02.2003]
159 for(Int_t i=n; i<kMAX_CLUSTERS_PER_TRACK; i++) {
160 fdQdl[i] = 0;
161 fIndex[i] = 0;
162 }
5443e65e 163}
164
165//_____________________________________________________________________________
b3a5a838 166AliTRDtrack::AliTRDtrack(const AliKalmanTrack& t, Double_t alpha)
167 :AliKalmanTrack(t) {
5443e65e 168 //
169 // Constructor from AliTPCtrack or AliITStrack .
170 //
171
172 SetLabel(t.GetLabel());
173 SetChi2(0.);
b8dc2353 174 SetMass(t.GetMass());
5443e65e 175 SetNumberOfClusters(0);
176
177 fdEdx=0;
178
b3a5a838 179 fLhElectron = 0.0;
9c9d2487 180 fNWrong = 0;
181 fNRotate = 0;
b3a5a838 182
5443e65e 183 fAlpha = alpha;
184 if (fAlpha < -TMath::Pi()) fAlpha += 2*TMath::Pi();
185 else if (fAlpha >= TMath::Pi()) fAlpha -= 2*TMath::Pi();
186
187 Double_t x, p[5]; t.GetExternalParameters(x,p);
188
189 fX=x;
190
191 x = GetConvConst();
192
b8dc2353 193 fY=p[0];
194 fZ=p[1];
b3a5a838 195 fT=p[3];
196 fC=p[4]/x;
b8dc2353 197 fE=fC*fX - p[2];
5443e65e 198
199 //Conversion of the covariance matrix
200 Double_t c[15]; t.GetExternalCovariance(c);
201
202 c[10]/=x; c[11]/=x; c[12]/=x; c[13]/=x; c[14]/=x*x;
203
204 Double_t c22=fX*fX*c[14] - 2*fX*c[12] + c[5];
205 Double_t c32=fX*c[13] - c[8];
206 Double_t c20=fX*c[10] - c[3], c21=fX*c[11] - c[4], c42=fX*c[14] - c[12];
207
b8dc2353 208 fCyy=c[0 ];
209 fCzy=c[1 ]; fCzz=c[2 ];
210 fCey=c20; fCez=c21; fCee=c22;
211 fCty=c[6 ]; fCtz=c[7 ]; fCte=c32; fCtt=c[9 ];
212 fCcy=c[10]; fCcz=c[11]; fCce=c42; fCct=c[13]; fCcc=c[14];
5443e65e 213
0d5b5c27 214 // Initialization [SR, GSI, 18.02.2003]
215 for(Int_t i=0; i<kMAX_CLUSTERS_PER_TRACK; i++) {
216 fdQdl[i] = 0;
217 fIndex[i] = 0;
218 }
5443e65e 219}
9c9d2487 220//_____________________________________________________________________________
221
222void AliTRDtrack::GetBarrelTrack(AliBarrelTrack *track) {
223 //
224 //
225 //
226
227 if (!track) return;
228 Double_t xr, vec[5], cov[15];
229
230 track->SetLabel(GetLabel());
231 track->SetX(fX, fAlpha);
232 track->SetNClusters(GetNumberOfClusters(), GetChi2());
233 track->SetNWrongClusters(fNWrong);
234 track->SetNRotate(fNRotate);
235 track->SetTime(fIntegratedTime, fIntegratedLength);
236
237 track->SetMass(fMass);
238 track->SetdEdX(fdEdx);
5443e65e 239
9c9d2487 240 GetExternalParameters(xr, vec);
241 track->SetStateVector(vec);
242
243 GetExternalCovariance(cov);
244 track->SetCovarianceMatrix(cov);
245}
5443e65e 246//____________________________________________________________________________
247void AliTRDtrack::GetExternalParameters(Double_t& xr, Double_t x[5]) const {
248 //
249 // This function returns external TRD track representation
250 //
251 xr=fX;
252 x[0]=GetY();
253 x[1]=GetZ();
254 x[2]=GetSnp();
255 x[3]=GetTgl();
b8dc2353 256 x[4]=Get1Pt();
5443e65e 257}
258
259//_____________________________________________________________________________
260void AliTRDtrack::GetExternalCovariance(Double_t cc[15]) const {
261 //
262 // This function returns external representation of the covriance matrix.
263 //
264 Double_t a=GetConvConst();
265
b3a5a838 266 Double_t c22=fX*fX*fCcc-2*fX*fCce+fCee;
267 Double_t c32=fX*fCct-fCte;
268 Double_t c20=fX*fCcy-fCey, c21=fX*fCcz-fCez, c42=fX*fCcc-fCce;
5443e65e 269
270 cc[0 ]=fCyy;
271 cc[1 ]=fCzy; cc[2 ]=fCzz;
272 cc[3 ]=c20; cc[4 ]=c21; cc[5 ]=c22;
273 cc[6 ]=fCty; cc[7 ]=fCtz; cc[8 ]=c32; cc[9 ]=fCtt;
b8dc2353 274 cc[10]=fCcy*a; cc[11]=fCcz*a; cc[12]=c42*a; cc[13]=fCct*a; cc[14]=fCcc*a*a;
275
5443e65e 276}
277
46d29e70 278
279//_____________________________________________________________________________
280void AliTRDtrack::GetCovariance(Double_t cc[15]) const {
b8dc2353 281
46d29e70 282 cc[0]=fCyy;
283 cc[1]=fCzy; cc[2]=fCzz;
b3a5a838 284 cc[3]=fCey; cc[4]=fCez; cc[5]=fCee;
285 cc[6]=fCcy; cc[7]=fCcz; cc[8]=fCce; cc[9]=fCcc;
286 cc[10]=fCty; cc[11]=fCtz; cc[12]=fCte; cc[13]=fCct; cc[14]=fCtt;
b8dc2353 287
46d29e70 288}
289
290//_____________________________________________________________________________
2a941f4e 291Int_t AliTRDtrack::Compare(const TObject *o) const {
46d29e70 292
5443e65e 293// Compares tracks according to their Y2 or curvature
46d29e70 294
295 AliTRDtrack *t=(AliTRDtrack*)o;
296 // Double_t co=t->GetSigmaY2();
297 // Double_t c =GetSigmaY2();
298
299 Double_t co=TMath::Abs(t->GetC());
300 Double_t c =TMath::Abs(GetC());
301
302 if (c>co) return 1;
303 else if (c<co) return -1;
304 return 0;
305}
306
a819a5f7 307//_____________________________________________________________________________
308void AliTRDtrack::CookdEdx(Double_t low, Double_t up) {
309 //-----------------------------------------------------------------
310 // Calculates dE/dX within the "low" and "up" cuts.
311 //-----------------------------------------------------------------
5443e65e 312
a819a5f7 313 Int_t i;
5443e65e 314 Int_t nc=GetNumberOfClusters();
a819a5f7 315
5443e65e 316 Float_t sorted[kMAX_CLUSTERS_PER_TRACK];
317 for (i=0; i < nc; i++) {
318 sorted[i]=fdQdl[i];
319 }
a819a5f7 320
321 Int_t swap;
5443e65e 322
a819a5f7 323 do {
324 swap=0;
325 for (i=0; i<nc-1; i++) {
326 if (sorted[i]<=sorted[i+1]) continue;
327 Float_t tmp=sorted[i];
328 sorted[i]=sorted[i+1]; sorted[i+1]=tmp;
329 swap++;
330 }
331 } while (swap);
332
333 Int_t nl=Int_t(low*nc), nu=Int_t(up*nc);
334 Float_t dedx=0;
335 for (i=nl; i<=nu; i++) dedx += sorted[i];
336 dedx /= (nu-nl+1);
5443e65e 337
a819a5f7 338 SetdEdx(dedx);
339}
340
341
46d29e70 342//_____________________________________________________________________________
b3a5a838 343Int_t AliTRDtrack::PropagateTo(Double_t xk,Double_t x0,Double_t rho)
46d29e70 344{
345 // Propagates a track of particle with mass=pm to a reference plane
346 // defined by x=xk through media of density=rho and radiationLength=x0
347
9c9d2487 348 if (xk == fX) return 1;
349
46d29e70 350 if (TMath::Abs(fC*xk - fE) >= 0.99999) {
b8dc2353 351 Int_t n=GetNumberOfClusters();
9c9d2487 352 if (n>4) cerr << n << " AliTRDtrack: Propagation failed, \tPt = "
353 << GetPt() << "\t" << GetLabel() << "\t" << GetMass() << endl;
46d29e70 354 return 0;
355 }
356
0d5b5c27 357 // track Length measurement [SR, GSI, 17.02.2003]
358 Double_t oldX = fX, oldY = fY, oldZ = fZ;
359
46d29e70 360 Double_t x1=fX, x2=x1+(xk-x1), dx=x2-x1, y1=fY, z1=fZ;
5443e65e 361 Double_t c1=fC*x1 - fE;
362 if((c1*c1) > 1) return 0;
363 Double_t r1=sqrt(1.- c1*c1);
b8dc2353 364 Double_t c2=fC*x2 - fE;
5443e65e 365 if((c2*c2) > 1) return 0;
366 Double_t r2=sqrt(1.- c2*c2);
46d29e70 367
368 fY += dx*(c1+c2)/(r1+r2);
369 fZ += dx*(c1+c2)/(c1*r2 + c2*r1)*fT;
370
371 //f = F - 1
372 Double_t rr=r1+r2, cc=c1+c2, xx=x1+x2;
b3a5a838 373 Double_t f02=-dx*(2*rr + cc*(c1/r1 + c2/r2))/(rr*rr);
374 Double_t f04= dx*(rr*xx + cc*(c1*x1/r1+c2*x2/r2))/(rr*rr);
46d29e70 375 Double_t cr=c1*r2+c2*r1;
b3a5a838 376 Double_t f12=-dx*fT*(2*cr + cc*(c2*c1/r1-r1 + c1*c2/r2-r2))/(cr*cr);
377 Double_t f13= dx*cc/cr;
b8dc2353 378 Double_t f14=dx*fT*(cr*xx-cc*(r1*x2-c2*c1*x1/r1+r2*x1-c1*c2*x2/r2))/(cr*cr);
46d29e70 379
380 //b = C*ft
b3a5a838 381 Double_t b00=f02*fCey + f04*fCcy, b01=f12*fCey + f14*fCcy + f13*fCty;
382 Double_t b10=f02*fCez + f04*fCcz, b11=f12*fCez + f14*fCcz + f13*fCtz;
383 Double_t b20=f02*fCee + f04*fCce, b21=f12*fCee + f14*fCce + f13*fCte;
384 Double_t b30=f02*fCte + f04*fCct, b31=f12*fCte + f14*fCct + f13*fCtt;
385 Double_t b40=f02*fCce + f04*fCcc, b41=f12*fCce + f14*fCcc + f13*fCct;
46d29e70 386
387 //a = f*b = f*C*ft
b3a5a838 388 Double_t a00=f02*b20+f04*b40,a01=f02*b21+f04*b41,a11=f12*b21+f14*b41+f13*b31;
46d29e70 389
390 //F*C*Ft = C + (a + b + bt)
391 fCyy += a00 + 2*b00;
392 fCzy += a01 + b01 + b10;
b3a5a838 393 fCey += b20;
394 fCty += b30;
395 fCcy += b40;
46d29e70 396 fCzz += a11 + 2*b11;
b3a5a838 397 fCez += b21;
398 fCtz += b31;
b8dc2353 399 fCcz += b41;
46d29e70 400
b8dc2353 401 fX=x2;
46d29e70 402
403 //Multiple scattering ******************
46d29e70 404 Double_t d=sqrt((x1-fX)*(x1-fX)+(y1-fY)*(y1-fY)+(z1-fZ)*(z1-fZ));
b8dc2353 405 Double_t p2=(1.+ GetTgl()*GetTgl())/(Get1Pt()*Get1Pt());
b3a5a838 406 Double_t beta2=p2/(p2 + GetMass()*GetMass());
b8dc2353 407 Double_t theta2=14.1*14.1/(beta2*p2*1e6)*d/x0*rho;
46d29e70 408
409 Double_t ey=fC*fX - fE, ez=fT;
410 Double_t xz=fC*ez, zz1=ez*ez+1, xy=fE+ey;
411
46d29e70 412 fCee += (2*ey*ez*ez*fE+1-ey*ey+ez*ez+fE*fE*ez*ez)*theta2;
413 fCte += ez*zz1*xy*theta2;
414 fCtt += zz1*zz1*theta2;
b3a5a838 415 fCce += xz*ez*xy*theta2;
416 fCct += xz*zz1*theta2;
417 fCcc += xz*xz*theta2;
46d29e70 418
46d29e70 419 //Energy losses************************
b8dc2353 420 if((5940*beta2/(1-beta2+1e-10) - beta2) < 0) return 0;
5443e65e 421
b8dc2353 422 Double_t dE=0.153e-3/beta2*(log(5940*beta2/(1-beta2+1e-10)) - beta2)*d*rho;
423 if (x1 < x2) dE=-dE;
424 cc=fC;
b3a5a838 425 fC*=(1.- sqrt(p2+GetMass()*GetMass())/p2*dE);
b8dc2353 426 fE+=fX*(fC-cc);
46d29e70 427
0d5b5c27 428 // track time measurement [SR, GSI 17.02.2002]
429 if (IsStartedTimeIntegral()) {
430 Double_t l2 = (fX-oldX)*(fX-oldX) + (fY-oldY)*(fY-oldY) + (fZ-oldZ)*(fZ-oldZ);
431 AddTimeStep(TMath::Sqrt(l2));
432 }
433
b8dc2353 434 return 1;
46d29e70 435}
436
fd621f36 437
46d29e70 438//_____________________________________________________________________________
fd621f36 439Int_t AliTRDtrack::Update(const AliTRDcluster *c, Double_t chisq, UInt_t index, Double_t h01)
46d29e70 440{
441 // Assignes found cluster to the track and updates track information
442
b8dc2353 443 Bool_t fNoTilt = kTRUE;
444 if(TMath::Abs(h01) > 0.003) fNoTilt = kFALSE;
fd621f36 445
b8dc2353 446 Double_t r00=c->GetSigmaY2(), r01=0., r11=c->GetSigmaZ2();
447 r00+=fCyy; r01+=fCzy; r11+=fCzz;
46d29e70 448 Double_t det=r00*r11 - r01*r01;
449 Double_t tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det;
450
b8dc2353 451 Double_t k00=fCyy*r00+fCzy*r01, k01=fCyy*r01+fCzy*r11;
452 Double_t k10=fCzy*r00+fCzz*r01, k11=fCzy*r01+fCzz*r11;
453 Double_t k20=fCey*r00+fCez*r01, k21=fCey*r01+fCez*r11;
454 Double_t k30=fCty*r00+fCtz*r01, k31=fCty*r01+fCtz*r11;
455 Double_t k40=fCcy*r00+fCcz*r01, k41=fCcy*r01+fCcz*r11;
46d29e70 456
457 Double_t dy=c->GetY() - fY, dz=c->GetZ() - fZ;
b3a5a838 458 Double_t cur=fC + k40*dy + k41*dz, eta=fE + k20*dy + k21*dz;
fd621f36 459
b3a5a838 460 Double_t c01=fCzy, c02=fCey, c03=fCty, c04=fCcy;
461 Double_t c12=fCez, c13=fCtz, c14=fCcz;
46d29e70 462
b8dc2353 463 if(fNoTilt) {
464 if (TMath::Abs(cur*fX-eta) >= 0.99999) {
465 Int_t n=GetNumberOfClusters();
466 if (n>4) cerr<<n<<" AliTRDtrack warning: Filtering failed !\n";
467 return 0;
468 }
469 fY += k00*dy + k01*dz;
470 fZ += k10*dy + k11*dz;
471 fE = eta;
9c9d2487 472 //fT += k30*dy + k31*dz;
b8dc2353 473 fC = cur;
474 }
475 else {
476 Double_t xu_factor = 100.; // empirical factor set by C.Xu
477 // in the first tilt version
478 r00=c->GetSigmaY2(), r01=0., r11=c->GetSigmaZ2()*xu_factor;
479 r00+=(fCyy+2.0*h01*fCzy+h01*h01*fCzz);
480 r01+=(fCzy+h01*fCzz);
481 det=r00*r11 - r01*r01;
482 tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det;
483
484 k00=fCyy*r00+fCzy*(r01+h01*r00),k01=fCyy*r01+fCzy*(r11+h01*r01);
485 k10=fCzy*r00+fCzz*(r01+h01*r00),k11=fCzy*r01+fCzz*(r11+h01*r01);
486 k20=fCey*r00+fCez*(r01+h01*r00),k21=fCey*r01+fCez*(r11+h01*r01);
487 k30=fCty*r00+fCtz*(r01+h01*r00),k31=fCty*r01+fCtz*(r11+h01*r01);
488 k40=fCcy*r00+fCcz*(r01+h01*r00),k41=fCcy*r01+fCcz*(r11+h01*r01);
489
490 dy=c->GetY() - fY; dz=c->GetZ() - fZ;
491 dy=dy+h01*dz;
492
493 cur=fC + k40*dy + k41*dz; eta=fE + k20*dy + k21*dz;
494 if (TMath::Abs(cur*fX-eta) >= 0.99999) {
495 Int_t n=GetNumberOfClusters();
496 if (n>4) cerr<<n<<" AliTRDtrack warning: Filtering failed !\n";
497 return 0;
498 }
499 fY += k00*dy + k01*dz;
500 fZ += k10*dy + k11*dz;
501 fE = eta;
9c9d2487 502 //fT += k30*dy + k31*dz;
b8dc2353 503 fC = cur;
504
505 k01+=h01*k00;
506 k11+=h01*k10;
507 k21+=h01*k20;
508 k31+=h01*k30;
509 k41+=h01*k40;
510 }
511
46d29e70 512 fCyy-=k00*fCyy+k01*fCzy; fCzy-=k00*c01+k01*fCzz;
b3a5a838 513 fCey-=k00*c02+k01*c12; fCty-=k00*c03+k01*c13;
514 fCcy-=k00*c04+k01*c14;
b8dc2353 515
46d29e70 516 fCzz-=k10*c01+k11*fCzz;
b3a5a838 517 fCez-=k10*c02+k11*c12; fCtz-=k10*c03+k11*c13;
518 fCcz-=k10*c04+k11*c14;
b8dc2353 519
b3a5a838 520 fCee-=k20*c02+k21*c12; fCte-=k20*c03+k21*c13;
521 fCce-=k20*c04+k21*c14;
b8dc2353 522
b3a5a838 523 fCtt-=k30*c03+k31*c13;
b8dc2353 524 fCct-=k40*c03+k41*c13;
525
526 fCcc-=k40*c04+k41*c14;
46d29e70 527
b8dc2353 528 Int_t n=GetNumberOfClusters();
5443e65e 529 fIndex[n]=index;
b8dc2353 530 SetNumberOfClusters(n+1);
fd621f36 531
b8dc2353 532 SetChi2(GetChi2()+chisq);
46d29e70 533 // cerr<<"in update: fIndex["<<fN<<"] = "<<index<<endl;
5443e65e 534
b8dc2353 535 return 1;
46d29e70 536}
537
fd621f36 538
46d29e70 539//_____________________________________________________________________________
540Int_t AliTRDtrack::Rotate(Double_t alpha)
541{
542 // Rotates track parameters in R*phi plane
9c9d2487 543
544 fNRotate++;
46d29e70 545
546 fAlpha += alpha;
b3a5a838 547 if (fAlpha<-TMath::Pi()) fAlpha += 2*TMath::Pi();
b8dc2353 548 if (fAlpha>=TMath::Pi()) fAlpha -= 2*TMath::Pi();
46d29e70 549
550 Double_t x1=fX, y1=fY;
551 Double_t ca=cos(alpha), sa=sin(alpha);
552 Double_t r1=fC*fX - fE;
553
554 fX = x1*ca + y1*sa;
b8dc2353 555 fY =-x1*sa + y1*ca;
556 if((r1*r1) > 1) return 0;
46d29e70 557 fE=fE*ca + (fC*y1 + sqrt(1.- r1*r1))*sa;
558
559 Double_t r2=fC*fX - fE;
560 if (TMath::Abs(r2) >= 0.99999) {
b8dc2353 561 Int_t n=GetNumberOfClusters();
5443e65e 562 if (n>4) cerr<<n<<" AliTRDtrack warning: Rotation failed !\n";
46d29e70 563 return 0;
564 }
565
b8dc2353 566 if((r2*r2) > 1) return 0;
46d29e70 567 Double_t y0=fY + sqrt(1.- r2*r2)/fC;
568 if ((fY-y0)*fC >= 0.) {
b8dc2353 569 Int_t n=GetNumberOfClusters();
5443e65e 570 if (n>4) cerr<<n<<" AliTRDtrack warning: Rotation failed !!!\n";
46d29e70 571 return 0;
572 }
573
574 //f = F - 1
b3a5a838 575 Double_t f00=ca-1, f24=(y1 - r1*x1/sqrt(1.- r1*r1))*sa,
b8dc2353 576 f20=fC*sa, f22=(ca + sa*r1/sqrt(1.- r1*r1))-1;
46d29e70 577
578 //b = C*ft
b3a5a838 579 Double_t b00=fCyy*f00, b02=fCyy*f20+fCcy*f24+fCey*f22;
580 Double_t b10=fCzy*f00, b12=fCzy*f20+fCcz*f24+fCez*f22;
581 Double_t b20=fCey*f00, b22=fCey*f20+fCce*f24+fCee*f22;
582 Double_t b30=fCty*f00, b32=fCty*f20+fCct*f24+fCte*f22;
583 Double_t b40=fCcy*f00, b42=fCcy*f20+fCcc*f24+fCce*f22;
46d29e70 584
585 //a = f*b = f*C*ft
b3a5a838 586 Double_t a00=f00*b00, a02=f00*b02, a22=f20*b02+f24*b42+f22*b22;
46d29e70 587
46d29e70 588 //F*C*Ft = C + (a + b + bt)
589 fCyy += a00 + 2*b00;
590 fCzy += b10;
b3a5a838 591 fCey += a02+b20+b02;
592 fCty += b30;
593 fCcy += b40;
594 fCez += b12;
595 fCte += b32;
596 fCee += a22 + 2*b22;
597 fCce += b42;
46d29e70 598
b8dc2353 599 return 1;
46d29e70 600}
601
602
46d29e70 603//_____________________________________________________________________________
fd621f36 604Double_t AliTRDtrack::GetPredictedChi2(const AliTRDcluster *c, Double_t h01) const
46d29e70 605{
fd621f36 606
b8dc2353 607 Bool_t fNoTilt = kTRUE;
608 if(TMath::Abs(h01) > 0.003) fNoTilt = kFALSE;
609 Double_t chi2, dy, r00, r01, r11;
610
611 if(fNoTilt) {
612 dy=c->GetY() - fY;
613 r00=c->GetSigmaY2();
614 chi2 = (dy*dy)/r00;
46d29e70 615 }
b8dc2353 616 else {
617 r00=c->GetSigmaY2(); r01=0.; r11=c->GetSigmaZ2();
618 r00+=fCyy; r01+=fCzy; r11+=fCzz;
619
620 Double_t det=r00*r11 - r01*r01;
621 if (TMath::Abs(det) < 1.e-10) {
622 Int_t n=GetNumberOfClusters();
623 if (n>4) cerr<<n<<" AliTRDtrack warning: Singular matrix !\n";
624 return 1e10;
625 }
626 Double_t tmp=r00; r00=r11; r11=tmp; r01=-r01;
627 Double_t dy=c->GetY() - fY, dz=c->GetZ() - fZ;
628 dy=dy+h01*dz;
a819a5f7 629
b8dc2353 630 chi2 = (dy*r00*dy + 2*r01*dy*dz + dz*r11*dz)/det;
631 }
632 return chi2;
fd621f36 633}
46d29e70 634
635
636//_________________________________________________________________________
637void AliTRDtrack::GetPxPyPz(Double_t& px, Double_t& py, Double_t& pz) const
638{
639 // Returns reconstructed track momentum in the global system.
640
641 Double_t pt=TMath::Abs(GetPt()); // GeV/c
642 Double_t r=fC*fX-fE;
5443e65e 643
644 Double_t y0;
645 if(r > 1) { py = pt; px = 0; }
646 else if(r < -1) { py = -pt; px = 0; }
647 else {
648 y0=fY + sqrt(1.- r*r)/fC;
649 px=-pt*(fY-y0)*fC; //cos(phi);
650 py=-pt*(fE-fX*fC); //sin(phi);
651 }
46d29e70 652 pz=pt*fT;
653 Double_t tmp=px*TMath::Cos(fAlpha) - py*TMath::Sin(fAlpha);
654 py=px*TMath::Sin(fAlpha) + py*TMath::Cos(fAlpha);
655 px=tmp;
656
657}
658
5443e65e 659//_________________________________________________________________________
660void AliTRDtrack::GetGlobalXYZ(Double_t& x, Double_t& y, Double_t& z) const
46d29e70 661{
5443e65e 662 // Returns reconstructed track coordinates in the global system.
663
664 x = fX; y = fY; z = fZ;
665 Double_t tmp=x*TMath::Cos(fAlpha) - y*TMath::Sin(fAlpha);
666 y=x*TMath::Sin(fAlpha) + y*TMath::Cos(fAlpha);
667 x=tmp;
668
669}
3ab6f951 670
5443e65e 671//_________________________________________________________________________
672void AliTRDtrack::ResetCovariance() {
673 //
674 // Resets covariance matrix
675 //
46d29e70 676
5443e65e 677 fCyy*=10.;
b8dc2353 678 fCzy=0.; fCzz*=10.;
679 fCey=0.; fCez=0.; fCee*=10.;
680 fCty=0.; fCtz=0.; fCte=0.; fCtt*=10.;
681 fCcy=0.; fCcz=0.; fCce=0.; fCct=0.; fCcc*=10.;
5443e65e 682}
b8dc2353 683