1 /**************************************************************************
2 * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
4 * Author: The ALICE Off-line Project. *
5 * Contributors are mentioned in the code where appropriate. *
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 **************************************************************************/
18 #include <Riostream.h>
21 #include "AliTRDgeometry.h"
22 #include "AliTRDcluster.h"
23 #include "AliTRDtrack.h"
24 #include "AliESDtrack.h"
25 #include "AliTRDclusterCorrection.h"
29 //_____________________________________________________________________________
31 AliTRDtrack::AliTRDtrack(const AliTRDcluster *c, UInt_t index,
32 const Double_t xx[5], const Double_t cc[15],
33 Double_t xref, Double_t alpha) : AliKalmanTrack() {
34 //-----------------------------------------------------------------
35 // This is the main track constructor.
36 //-----------------------------------------------------------------
41 if (fAlpha<-TMath::Pi()) fAlpha += 2*TMath::Pi();
42 if (fAlpha>=TMath::Pi()) fAlpha -= 2*TMath::Pi();
46 fY=xx[0]; fZ=xx[1]; fE=xx[2]; fT=xx[3]; fC=xx[4];
49 fCzy=cc[1]; fCzz=cc[2];
50 fCey=cc[3]; fCez=cc[4]; fCee=cc[5];
51 fCty=cc[6]; fCtz=cc[7]; fCte=cc[8]; fCtt=cc[9];
52 fCcy=cc[10]; fCcz=cc[11]; fCce=cc[12]; fCct=cc[13]; fCcc=cc[14];
55 SetNumberOfClusters(1);
63 Double_t q = TMath::Abs(c->GetQ());
64 Double_t s = fX*fC - fE, t=fT;
65 if(s*s < 1) q *= TMath::Sqrt((1-s*s)/(1+t*t));
69 // initialisation [SR, GSI 18.02.2003] (i startd for 1)
70 for(UInt_t i=1; i<kMAX_CLUSTERS_PER_TRACK; i++) {
73 fIndexBackup[i] = 0; //bacup indexes MI
79 //_____________________________________________________________________________
80 AliTRDtrack::AliTRDtrack(const AliTRDtrack& t) : AliKalmanTrack(t) {
85 SetLabel(t.GetLabel());
86 fSeedLab=t.GetSeedLabel();
93 fNRotate = t.fNRotate;
94 fStopped = t.fStopped;
98 fY=t.fY; fZ=t.fZ; fE=t.fE; fT=t.fT; fC=t.fC;
101 fCzy=t.fCzy; fCzz=t.fCzz;
102 fCey=t.fCey; fCez=t.fCez; fCee=t.fCee;
103 fCty=t.fCty; fCtz=t.fCtz; fCte=t.fCte; fCtt=t.fCtt;
104 fCcy=t.fCcy; fCcz=t.fCcz; fCce=t.fCce; fCct=t.fCct; fCcc=t.fCcc;
106 Int_t n=t.GetNumberOfClusters();
107 SetNumberOfClusters(n);
108 for (Int_t i=0; i<n; i++) {
109 fIndex[i]=t.fIndex[i];
110 fIndexBackup[i]=t.fIndex[i]; // MI - backup indexes
114 // initialisation (i starts from n) [SR, GSI, 18.02.2003]
115 for(UInt_t i=n; i<kMAX_CLUSTERS_PER_TRACK; i++) {
118 fIndexBackup[i] = 0; //MI backup indexes
124 //_____________________________________________________________________________
125 AliTRDtrack::AliTRDtrack(const AliKalmanTrack& t, Double_t alpha)
128 // Constructor from AliTPCtrack or AliITStrack .
131 SetLabel(t.GetLabel());
133 SetMass(t.GetMass());
134 SetNumberOfClusters(0);
144 if (fAlpha < -TMath::Pi()) fAlpha += 2*TMath::Pi();
145 else if (fAlpha >= TMath::Pi()) fAlpha -= 2*TMath::Pi();
147 Double_t x, p[5]; t.GetExternalParameters(x,p);
159 //Conversion of the covariance matrix
160 Double_t c[15]; t.GetExternalCovariance(c);
162 c[10]/=x; c[11]/=x; c[12]/=x; c[13]/=x; c[14]/=x*x;
164 Double_t c22=fX*fX*c[14] - 2*fX*c[12] + c[5];
165 Double_t c32=fX*c[13] - c[8];
166 Double_t c20=fX*c[10] - c[3], c21=fX*c[11] - c[4], c42=fX*c[14] - c[12];
169 fCzy=c[1 ]; fCzz=c[2 ];
170 fCey=c20; fCez=c21; fCee=c22;
171 fCty=c[6 ]; fCtz=c[7 ]; fCte=c32; fCtt=c[9 ];
172 fCcy=c[10]; fCcz=c[11]; fCce=c42; fCct=c[13]; fCcc=c[14];
174 // Initialization [SR, GSI, 18.02.2003]
175 for(UInt_t i=0; i<kMAX_CLUSTERS_PER_TRACK; i++) {
178 fIndexBackup[i] = 0; // MI backup indexes
183 //_____________________________________________________________________________
184 AliTRDtrack::AliTRDtrack(const AliESDtrack& t)
187 // Constructor from AliESDtrack
190 SetLabel(t.GetLabel());
192 SetMass(t.GetMass());
193 SetNumberOfClusters(t.GetTRDclusters(fIndex));
194 Int_t ncl = t.GetTRDclusters(fIndexBackup);
195 for (UInt_t i=ncl;i<kMAX_CLUSTERS_PER_TRACK;i++) {
197 fIndex[i] = 0; //MI store indexes
199 fdEdx=t.GetTRDsignal();
206 fAlpha = t.GetAlpha();
207 if (fAlpha < -TMath::Pi()) fAlpha += 2*TMath::Pi();
208 else if (fAlpha >= TMath::Pi()) fAlpha -= 2*TMath::Pi();
210 Double_t x, p[5]; t.GetExternalParameters(x,p);
211 //Conversion of the covariance matrix
212 Double_t c[15]; t.GetExternalCovariance(c);
213 if (t.GetStatus()&AliESDtrack::kTRDbackup){
214 t.GetTRDExternalParameters(x,p,c);
228 c[10]/=x; c[11]/=x; c[12]/=x; c[13]/=x; c[14]/=x*x;
230 Double_t c22=fX*fX*c[14] - 2*fX*c[12] + c[5];
231 Double_t c32=fX*c[13] - c[8];
232 Double_t c20=fX*c[10] - c[3], c21=fX*c[11] - c[4], c42=fX*c[14] - c[12];
235 fCzy=c[1 ]; fCzz=c[2 ];
236 fCey=c20; fCez=c21; fCee=c22;
237 fCty=c[6 ]; fCtz=c[7 ]; fCte=c32; fCtt=c[9 ];
238 fCcy=c[10]; fCcz=c[11]; fCce=c42; fCct=c[13]; fCcc=c[14];
240 // Initialization [SR, GSI, 18.02.2003]
241 for(UInt_t i=0; i<kMAX_CLUSTERS_PER_TRACK; i++) {
243 // fIndex[i] = 0; //MI store indexes
248 if ((t.GetStatus()&AliESDtrack::kTIME) == 0) return;
250 Double_t times[10]; t.GetIntegratedTimes(times); SetIntegratedTimes(times);
251 SetIntegratedLength(t.GetIntegratedLength());
255 AliTRDtrack::~AliTRDtrack()
259 if (fBackupTrack) delete fBackupTrack;
263 //_____________________________________________________________________________
265 void AliTRDtrack::GetBarrelTrack(AliBarrelTrack *track) {
271 Double_t xr, vec[5], cov[15];
273 track->SetLabel(GetLabel());
274 track->SetX(fX, fAlpha);
275 track->SetNClusters(GetNumberOfClusters(), GetChi2());
276 track->SetNWrongClusters(fNWrong);
277 track->SetNRotate(fNRotate);
279 GetIntegratedTimes(times);
280 track->SetTime(times, GetIntegratedLength());
282 track->SetMass(GetMass());
283 track->SetdEdX(GetdEdx());
285 GetExternalParameters(xr, vec);
286 track->SetStateVector(vec);
288 GetExternalCovariance(cov);
289 track->SetCovarianceMatrix(cov);
291 //____________________________________________________________________________
292 void AliTRDtrack::GetExternalParameters(Double_t& xr, Double_t x[5]) const {
294 // This function returns external TRD track representation
304 //_____________________________________________________________________________
305 void AliTRDtrack::GetExternalCovariance(Double_t cc[15]) const {
307 // This function returns external representation of the covriance matrix.
309 Double_t a=GetConvConst();
311 Double_t c22=fX*fX*fCcc-2*fX*fCce+fCee;
312 Double_t c32=fX*fCct-fCte;
313 Double_t c20=fX*fCcy-fCey, c21=fX*fCcz-fCez, c42=fX*fCcc-fCce;
316 cc[1 ]=fCzy; cc[2 ]=fCzz;
317 cc[3 ]=c20; cc[4 ]=c21; cc[5 ]=c22;
318 cc[6 ]=fCty; cc[7 ]=fCtz; cc[8 ]=c32; cc[9 ]=fCtt;
319 cc[10]=fCcy*a; cc[11]=fCcz*a; cc[12]=c42*a; cc[13]=fCct*a; cc[14]=fCcc*a*a;
324 //_____________________________________________________________________________
325 void AliTRDtrack::GetCovariance(Double_t cc[15]) const {
328 cc[1]=fCzy; cc[2]=fCzz;
329 cc[3]=fCey; cc[4]=fCez; cc[5]=fCee;
330 cc[6]=fCcy; cc[7]=fCcz; cc[8]=fCce; cc[9]=fCcc;
331 cc[10]=fCty; cc[11]=fCtz; cc[12]=fCte; cc[13]=fCct; cc[14]=fCtt;
335 //_____________________________________________________________________________
336 Int_t AliTRDtrack::Compare(const TObject *o) const {
338 // Compares tracks according to their Y2 or curvature
340 AliTRDtrack *t=(AliTRDtrack*)o;
341 // Double_t co=t->GetSigmaY2();
342 // Double_t c =GetSigmaY2();
344 Double_t co=TMath::Abs(t->GetC());
345 Double_t c =TMath::Abs(GetC());
348 else if (c<co) return -1;
352 //_____________________________________________________________________________
353 void AliTRDtrack::CookdEdx(Double_t low, Double_t up) {
354 //-----------------------------------------------------------------
355 // Calculates dE/dX within the "low" and "up" cuts.
356 //-----------------------------------------------------------------
359 Int_t nc=GetNumberOfClusters();
361 Float_t sorted[kMAX_CLUSTERS_PER_TRACK];
362 for (i=0; i < nc; i++) {
370 for (i=0; i<nc-1; i++) {
371 if (sorted[i]<=sorted[i+1]) continue;
372 Float_t tmp=sorted[i];
373 sorted[i]=sorted[i+1]; sorted[i+1]=tmp;
378 Int_t nl=Int_t(low*nc), nu=Int_t(up*nc);
380 for (i=nl; i<=nu; i++) dedx += sorted[i];
387 //_____________________________________________________________________________
388 Int_t AliTRDtrack::PropagateTo(Double_t xk,Double_t x0,Double_t rho)
390 // Propagates a track of particle with mass=pm to a reference plane
391 // defined by x=xk through media of density=rho and radiationLength=x0
393 if (xk == fX) return 1;
395 if (TMath::Abs(fC*xk - fE) >= 0.90000) {
396 // Int_t n=GetNumberOfClusters();
397 //if (n>4) cerr << n << " AliTRDtrack: Propagation failed, \tPt = "
398 // << GetPt() << "\t" << GetLabel() << "\t" << GetMass() << endl;
402 // track Length measurement [SR, GSI, 17.02.2003]
403 Double_t oldX = fX, oldY = fY, oldZ = fZ;
405 Double_t x1=fX, x2=x1+(xk-x1), dx=x2-x1, y1=fY, z1=fZ;
406 Double_t c1=fC*x1 - fE;
407 if((c1*c1) > 1) return 0;
408 Double_t r1=sqrt(1.- c1*c1);
409 Double_t c2=fC*x2 - fE;
410 if((c2*c2) > 1) return 0;
411 Double_t r2=sqrt(1.- c2*c2);
413 fY += dx*(c1+c2)/(r1+r2);
414 fZ += dx*(c1+c2)/(c1*r2 + c2*r1)*fT;
417 Double_t rr=r1+r2, cc=c1+c2, xx=x1+x2;
418 Double_t f02=-dx*(2*rr + cc*(c1/r1 + c2/r2))/(rr*rr);
419 Double_t f04= dx*(rr*xx + cc*(c1*x1/r1+c2*x2/r2))/(rr*rr);
420 Double_t cr=c1*r2+c2*r1;
421 Double_t f12=-dx*fT*(2*cr + cc*(c2*c1/r1-r1 + c1*c2/r2-r2))/(cr*cr);
422 Double_t f13= dx*cc/cr;
423 Double_t f14=dx*fT*(cr*xx-cc*(r1*x2-c2*c1*x1/r1+r2*x1-c1*c2*x2/r2))/(cr*cr);
426 Double_t b00=f02*fCey + f04*fCcy, b01=f12*fCey + f14*fCcy + f13*fCty;
427 Double_t b10=f02*fCez + f04*fCcz, b11=f12*fCez + f14*fCcz + f13*fCtz;
428 Double_t b20=f02*fCee + f04*fCce, b21=f12*fCee + f14*fCce + f13*fCte;
429 Double_t b30=f02*fCte + f04*fCct, b31=f12*fCte + f14*fCct + f13*fCtt;
430 Double_t b40=f02*fCce + f04*fCcc, b41=f12*fCce + f14*fCcc + f13*fCct;
433 Double_t a00=f02*b20+f04*b40,a01=f02*b21+f04*b41,a11=f12*b21+f14*b41+f13*b31;
435 //F*C*Ft = C + (a + b + bt)
437 fCzy += a01 + b01 + b10;
448 //Multiple scattering ******************
449 Double_t d=sqrt((x1-fX)*(x1-fX)+(y1-fY)*(y1-fY)+(z1-fZ)*(z1-fZ));
450 Double_t p2=(1.+ GetTgl()*GetTgl())/(Get1Pt()*Get1Pt());
451 Double_t beta2=p2/(p2 + GetMass()*GetMass());
452 Double_t theta2=14.1*14.1/(beta2*p2*1e6)*d/x0*rho;
454 Double_t ey=fC*fX - fE, ez=fT;
455 Double_t xz=fC*ez, zz1=ez*ez+1, xy=fE+ey;
457 fCee += (2*ey*ez*ez*fE+1-ey*ey+ez*ez+fE*fE*ez*ez)*theta2;
458 fCte += ez*zz1*xy*theta2;
459 fCtt += zz1*zz1*theta2;
460 fCce += xz*ez*xy*theta2;
461 fCct += xz*zz1*theta2;
462 fCcc += xz*xz*theta2;
464 Double_t dc22 = (1-ey*ey+xz*xz*fX*fX)*theta2;
465 Double_t dc32 = (xz*fX*zz1)*theta2;
466 Double_t dc33 = (zz1*zz1)*theta2;
467 Double_t dc42 = (xz*fX*xz)*theta2;
468 Double_t dc43 = (zz1*xz)*theta2;
469 Double_t dc44 = (xz*xz)*theta2;
477 //Energy losses************************
478 if((5940*beta2/(1-beta2+1e-10) - beta2) < 0) return 0;
480 Double_t dE=0.153e-3/beta2*(log(5940*beta2/(1-beta2+1e-10)) - beta2)*d*rho;
483 fC*=(1.- sqrt(p2+GetMass()*GetMass())/p2*dE);
486 // track time measurement [SR, GSI 17.02.2002]
488 if (IsStartedTimeIntegral()) {
489 Double_t l2 = (fX-oldX)*(fX-oldX) + (fY-oldY)*(fY-oldY) + (fZ-oldZ)*(fZ-oldZ);
490 AddTimeStep(TMath::Sqrt(l2));
497 //_____________________________________________________________________________
498 Int_t AliTRDtrack::Update(const AliTRDcluster *c, Double_t chisq, UInt_t index, Double_t h01)
500 // Assignes found cluster to the track and updates track information
502 Bool_t fNoTilt = kTRUE;
503 if(TMath::Abs(h01) > 0.003) fNoTilt = kFALSE;
504 // add angular effect to the error contribution - MI
505 Float_t tangent2 = (fC*fX-fE)*(fC*fX-fE);
506 if (tangent2 < 0.90000){
507 tangent2 = tangent2/(1.-tangent2);
509 Float_t errang = tangent2*0.04; //
510 Float_t padlength = TMath::Sqrt(c->GetSigmaZ2()*12.);
512 Double_t r00=c->GetSigmaY2() +errang, r01=0., r11=c->GetSigmaZ2()*100.;
513 r00+=fCyy; r01+=fCzy; r11+=fCzz;
514 Double_t det=r00*r11 - r01*r01;
515 Double_t tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det;
517 Double_t k00=fCyy*r00+fCzy*r01, k01=fCyy*r01+fCzy*r11;
518 Double_t k10=fCzy*r00+fCzz*r01, k11=fCzy*r01+fCzz*r11;
519 Double_t k20=fCey*r00+fCez*r01, k21=fCey*r01+fCez*r11;
520 Double_t k30=fCty*r00+fCtz*r01, k31=fCty*r01+fCtz*r11;
521 Double_t k40=fCcy*r00+fCcz*r01, k41=fCcy*r01+fCcz*r11;
523 Double_t dy=c->GetY() - fY, dz=c->GetZ() - fZ;
524 Double_t cur=fC + k40*dy + k41*dz, eta=fE + k20*dy + k21*dz;
528 if (TMath::Abs(cur*fX-eta) >= 0.90000) {
529 // Int_t n=GetNumberOfClusters();
530 //if (n>4) cerr<<n<<" AliTRDtrack warning: Filtering failed !\n";
533 fY += k00*dy + k01*dz;
534 fZ += k10*dy + k11*dz;
536 //fT += k30*dy + k31*dz;
540 Double_t xu_factor = 100.; // empirical factor set by C.Xu
541 // in the first tilt version
542 dy=c->GetY() - fY; dz=c->GetZ() - fZ;
545 if (TMath::Abs(dz)>padlength/2.){
546 Float_t dy2 = c->GetY() - fY;
547 Float_t sign = (dz>0) ? -1.: 1.;
548 dy2+=h01*sign*padlength/2.;
555 r00=c->GetSigmaY2()+errang+add, r01=0., r11=c->GetSigmaZ2()*xu_factor;
556 r00+=(fCyy+2.0*h01*fCzy+h01*h01*fCzz);
558 r01+=(fCzy+h01*fCzz);
559 det=r00*r11 - r01*r01;
560 tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det;
562 k00=fCyy*r00+fCzy*(r01+h01*r00),k01=fCyy*r01+fCzy*(r11+h01*r01);
563 k10=fCzy*r00+fCzz*(r01+h01*r00),k11=fCzy*r01+fCzz*(r11+h01*r01);
564 k20=fCey*r00+fCez*(r01+h01*r00),k21=fCey*r01+fCez*(r11+h01*r01);
565 k30=fCty*r00+fCtz*(r01+h01*r00),k31=fCty*r01+fCtz*(r11+h01*r01);
566 k40=fCcy*r00+fCcz*(r01+h01*r00),k41=fCcy*r01+fCcz*(r11+h01*r01);
569 cur=fC + k40*dy + k41*dz; eta=fE + k20*dy + k21*dz;
570 if (TMath::Abs(cur*fX-eta) >= 0.90000) {
571 // Int_t n=GetNumberOfClusters();
572 //if (n>4) cerr<<n<<" AliTRDtrack warning: Filtering failed !\n";
575 fY += k00*dy + k01*dz;
576 fZ += k10*dy + k11*dz;
578 fT += k30*dy + k31*dz;
588 Double_t c01=fCzy, c02=fCey, c03=fCty, c04=fCcy;
589 Double_t c12=fCez, c13=fCtz, c14=fCcz;
592 fCyy-=k00*fCyy+k01*fCzy; fCzy-=k00*c01+k01*fCzz;
593 fCey-=k00*c02+k01*c12; fCty-=k00*c03+k01*c13;
594 fCcy-=k00*c04+k01*c14;
596 fCzz-=k10*c01+k11*fCzz;
597 fCez-=k10*c02+k11*c12; fCtz-=k10*c03+k11*c13;
598 fCcz-=k10*c04+k11*c14;
600 fCee-=k20*c02+k21*c12; fCte-=k20*c03+k21*c13;
601 fCce-=k20*c04+k21*c14;
603 fCtt-=k30*c03+k31*c13;
604 fCct-=k40*c03+k41*c13;
605 //fCct-=k30*c04+k31*c14; // symmetric formula MI
607 fCcc-=k40*c04+k41*c14;
609 Int_t n=GetNumberOfClusters();
611 SetNumberOfClusters(n+1);
613 SetChi2(GetChi2()+chisq);
614 // cerr<<"in update: fIndex["<<fN<<"] = "<<index<<endl;
618 //_____________________________________________________________________________
619 Int_t AliTRDtrack::UpdateMI(const AliTRDcluster *c, Double_t chisq, UInt_t index, Double_t h01,
622 // Assignes found cluster to the track and updates track information
624 Bool_t fNoTilt = kTRUE;
625 if(TMath::Abs(h01) > 0.003) fNoTilt = kFALSE;
626 // add angular effect to the error contribution and make correction - MI
627 //AliTRDclusterCorrection *corrector = AliTRDclusterCorrection::GetCorrection();
629 Double_t tangent2 = (fC*fX-fE)*(fC*fX-fE);
630 if (tangent2 < 0.90000){
631 tangent2 = tangent2/(1.-tangent2);
633 Double_t tangent = TMath::Sqrt(tangent2);
634 if ((fC*fX-fE)<0) tangent*=-1;
635 Double_t correction = 0*plane;
636 Double_t errang = tangent2*0.04; //
640 correction = corrector->GetCorrection(plane,c->GetLocalTimeBin(),tangent);
641 if (TMath::Abs(correction)>0){
643 errang = corrector->GetSigma(plane,c->GetLocalTimeBin(),tangent);
645 errang += tangent2*0.04;
650 Double_t padlength = TMath::Sqrt(c->GetSigmaZ2()*12.);
652 Double_t r00=c->GetSigmaY2() +errang, r01=0., r11=c->GetSigmaZ2()*10000.;
653 r00+=fCyy; r01+=fCzy; r11+=fCzz;
654 Double_t det=r00*r11 - r01*r01;
655 Double_t tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det;
657 Double_t k00=fCyy*r00+fCzy*r01, k01=fCyy*r01+fCzy*r11;
658 Double_t k10=fCzy*r00+fCzz*r01, k11=fCzy*r01+fCzz*r11;
659 Double_t k20=fCey*r00+fCez*r01, k21=fCey*r01+fCez*r11;
660 Double_t k30=fCty*r00+fCtz*r01, k31=fCty*r01+fCtz*r11;
661 Double_t k40=fCcy*r00+fCcz*r01, k41=fCcy*r01+fCcz*r11;
663 Double_t dy=c->GetY() - fY, dz=c->GetZ() - fZ;
664 Double_t cur=fC + k40*dy + k41*dz, eta=fE + k20*dy + k21*dz;
668 if (TMath::Abs(cur*fX-eta) >= 0.90000) {
669 // Int_t n=GetNumberOfClusters();
670 //if (n>4) cerr<<n<<" AliTRDtrack warning: Filtering failed !\n";
673 fY += k00*dy + k01*dz;
674 fZ += k10*dy + k11*dz;
676 //fT += k30*dy + k31*dz;
680 Double_t xu_factor = 1000.; // empirical factor set by C.Xu
681 // in the first tilt version
682 dy=c->GetY() - fY; dz=c->GetZ() - fZ;
683 dy=dy+h01*dz+correction;
685 if (TMath::Abs(dz)>padlength/2.){
686 //Double_t dy2 = c->GetY() - fY;
687 //Double_t sign = (dz>0) ? -1.: 1.;
688 //dy2-=h01*sign*padlength/2.;
692 Double_t s00 = c->GetSigmaY2()+errang+add; // error pad
693 Double_t s11 = c->GetSigmaZ2()*xu_factor; // error pad-row
695 r00 = fCyy + 2*fCzy*h01 + fCzz*h01*h01+s00;
696 r01 = fCzy + fCzz*h01;
698 det = r00*r11 - r01*r01;
700 tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det;
703 k00=fCyy*r00+fCzy*(r01+h01*r00),k01=fCyy*r01+fCzy*(r11+h01*r01);
704 k10=fCzy*r00+fCzz*(r01+h01*r00),k11=fCzy*r01+fCzz*(r11+h01*r01);
705 k20=fCey*r00+fCez*(r01+h01*r00),k21=fCey*r01+fCez*(r11+h01*r01);
706 k30=fCty*r00+fCtz*(r01+h01*r00),k31=fCty*r01+fCtz*(r11+h01*r01);
707 k40=fCcy*r00+fCcz*(r01+h01*r00),k41=fCcy*r01+fCcz*(r11+h01*r01);
710 cur=fC + k40*dy + k41*dz; eta=fE + k20*dy + k21*dz;
711 if (TMath::Abs(cur*fX-eta) >= 0.90000) {
712 //Int_t n=GetNumberOfClusters();
713 // if (n>4) cerr<<n<<" AliTRDtrack warning: Filtering failed !\n";
716 fY += k00*dy + k01*dz;
717 fZ += k10*dy + k11*dz;
719 fT += k30*dy + k31*dz;
732 Double_t oldyy = fCyy, oldzz = fCzz; //, oldee=fCee, oldcc =fCcc;
733 Double_t oldzy = fCzy, oldey = fCey, oldty=fCty, oldcy =fCcy;
734 Double_t oldez = fCez, oldtz = fCtz, oldcz=fCcz;
735 //Double_t oldte = fCte, oldce = fCce;
736 //Double_t oldct = fCct;
738 fCyy-=k00*oldyy+k01*oldzy;
739 fCzy-=k10*oldyy+k11*oldzy;
740 fCey-=k20*oldyy+k21*oldzy;
741 fCty-=k30*oldyy+k31*oldzy;
742 fCcy-=k40*oldyy+k41*oldzy;
744 fCzz-=k10*oldzy+k11*oldzz;
745 fCez-=k20*oldzy+k21*oldzz;
746 fCtz-=k30*oldzy+k31*oldzz;
747 fCcz-=k40*oldzy+k41*oldzz;
749 fCee-=k20*oldey+k21*oldez;
750 fCte-=k30*oldey+k31*oldez;
751 fCce-=k40*oldey+k41*oldez;
753 fCtt-=k30*oldty+k31*oldtz;
754 fCct-=k40*oldty+k41*oldtz;
756 fCcc-=k40*oldcy+k41*oldcz;
759 Int_t n=GetNumberOfClusters();
761 SetNumberOfClusters(n+1);
763 SetChi2(GetChi2()+chisq);
764 // cerr<<"in update: fIndex["<<fN<<"] = "<<index<<endl;
770 //_____________________________________________________________________________
771 Int_t AliTRDtrack::Rotate(Double_t alpha)
773 // Rotates track parameters in R*phi plane
778 if (fAlpha<-TMath::Pi()) fAlpha += 2*TMath::Pi();
779 if (fAlpha>=TMath::Pi()) fAlpha -= 2*TMath::Pi();
781 Double_t x1=fX, y1=fY;
782 Double_t ca=cos(alpha), sa=sin(alpha);
783 Double_t r1=fC*fX - fE;
787 if((r1*r1) > 1) return 0;
788 fE=fE*ca + (fC*y1 + sqrt(1.- r1*r1))*sa;
790 Double_t r2=fC*fX - fE;
791 if (TMath::Abs(r2) >= 0.90000) {
792 Int_t n=GetNumberOfClusters();
793 if (n>4) cerr<<n<<" AliTRDtrack warning: Rotation failed !\n";
797 if((r2*r2) > 1) return 0;
798 Double_t y0=fY + sqrt(1.- r2*r2)/fC;
799 if ((fY-y0)*fC >= 0.) {
800 Int_t n=GetNumberOfClusters();
801 if (n>4) cerr<<n<<" AliTRDtrack warning: Rotation failed !!!\n";
806 Double_t f00=ca-1, f24=(y1 - r1*x1/sqrt(1.- r1*r1))*sa,
807 f20=fC*sa, f22=(ca + sa*r1/sqrt(1.- r1*r1))-1;
810 Double_t b00=fCyy*f00, b02=fCyy*f20+fCcy*f24+fCey*f22;
811 Double_t b10=fCzy*f00, b12=fCzy*f20+fCcz*f24+fCez*f22;
812 Double_t b20=fCey*f00, b22=fCey*f20+fCce*f24+fCee*f22;
813 Double_t b30=fCty*f00, b32=fCty*f20+fCct*f24+fCte*f22;
814 Double_t b40=fCcy*f00, b42=fCcy*f20+fCcc*f24+fCce*f22;
817 Double_t a00=f00*b00, a02=f00*b02, a22=f20*b02+f24*b42+f22*b22;
819 //F*C*Ft = C + (a + b + bt)
834 //_____________________________________________________________________________
835 Double_t AliTRDtrack::GetPredictedChi2(const AliTRDcluster *c, Double_t h01) const
838 Bool_t fNoTilt = kTRUE;
839 if(TMath::Abs(h01) > 0.003) fNoTilt = kFALSE;
840 Double_t chi2, dy, r00, r01, r11;
848 r00=c->GetSigmaY2(); r01=0.; r11=c->GetSigmaZ2();
849 r00+=fCyy; r01+=fCzy; r11+=fCzz;
851 Double_t det=r00*r11 - r01*r01;
852 if (TMath::Abs(det) < 1.e-10) {
853 Int_t n=GetNumberOfClusters();
854 if (n>4) cerr<<n<<" AliTRDtrack warning: Singular matrix !\n";
857 Double_t tmp=r00; r00=r11; r11=tmp; r01=-r01;
858 Double_t dy=c->GetY() - fY, dz=c->GetZ() - fZ;
861 chi2 = (dy*r00*dy + 2*r01*dy*dz + dz*r11*dz)/det;
867 //_________________________________________________________________________
868 void AliTRDtrack::GetPxPyPz(Double_t& px, Double_t& py, Double_t& pz) const
870 // Returns reconstructed track momentum in the global system.
872 Double_t pt=TMath::Abs(GetPt()); // GeV/c
876 if(r > 1) { py = pt; px = 0; }
877 else if(r < -1) { py = -pt; px = 0; }
879 y0=fY + sqrt(1.- r*r)/fC;
880 px=-pt*(fY-y0)*fC; //cos(phi);
881 py=-pt*(fE-fX*fC); //sin(phi);
884 Double_t tmp=px*TMath::Cos(fAlpha) - py*TMath::Sin(fAlpha);
885 py=px*TMath::Sin(fAlpha) + py*TMath::Cos(fAlpha);
890 //_________________________________________________________________________
891 void AliTRDtrack::GetGlobalXYZ(Double_t& x, Double_t& y, Double_t& z) const
893 // Returns reconstructed track coordinates in the global system.
895 x = fX; y = fY; z = fZ;
896 Double_t tmp=x*TMath::Cos(fAlpha) - y*TMath::Sin(fAlpha);
897 y=x*TMath::Sin(fAlpha) + y*TMath::Cos(fAlpha);
902 //_________________________________________________________________________
903 void AliTRDtrack::ResetCovariance() {
905 // Resets covariance matrix
910 fCey=0.; fCez=0.; fCee*=10.;
911 fCty=0.; fCtz=0.; fCte=0.; fCtt*=10.;
912 fCcy=0.; fCcz=0.; fCce=0.; fCct=0.; fCcc*=10.;
915 void AliTRDtrack::ResetCovariance(Float_t mult) {
917 // Resets covariance matrix
921 fCzy*=0.; fCzz*=mult;
922 fCey*=0.; fCez*=0.; fCee*=mult;
923 fCty*=0.; fCtz*=0.; fCte*=0.; fCtt*=mult;
924 fCcy*=0.; fCcz*=0.; fCce*=0.; fCct*=0.; fCcc*=mult;
928 void AliTRDtrack::MakeBackupTrack()
932 if (fBackupTrack) delete fBackupTrack;
933 fBackupTrack = new AliTRDtrack(*this);