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 **************************************************************************/
15 ////////////////////////////////////////////////////////////////////////
19 // Authors: Bologna-CERN-ITEP-Salerno Group
21 // Description: class for handling ESD extracted tracks for TOF matching.
24 #include <Riostream.h>
27 #include "AliTOFtrack.h"
28 #include "AliESDtrack.h"
32 //_____________________________________________________________________________
33 AliTOFtrack::AliTOFtrack(const AliTOFtrack& t) : AliKalmanTrack(t) {
38 SetSeedIndex(t.GetSeedIndex());
39 SetLabel(t.GetLabel());
40 fSeedLab=t.GetSeedLabel();
46 fY=t.fY; fZ=t.fZ; fE=t.fE; fT=t.fT; fC=t.fC;
49 fCzy=t.fCzy; fCzz=t.fCzz;
50 fCey=t.fCey; fCez=t.fCez; fCee=t.fCee;
51 fCty=t.fCty; fCtz=t.fCtz; fCte=t.fCte; fCtt=t.fCtt;
52 fCcy=t.fCcy; fCcz=t.fCcz; fCce=t.fCce; fCct=t.fCct; fCcc=t.fCcc;
57 //_____________________________________________________________________________
58 AliTOFtrack::AliTOFtrack(const AliESDtrack& t)
61 // Constructor from AliESDtrack
65 SetLabel(t.GetLabel());
69 fAlpha = t.GetAlpha();
70 if (fAlpha < -TMath::Pi()) fAlpha += 2*TMath::Pi();
71 else if (fAlpha >= TMath::Pi()) fAlpha -= 2*TMath::Pi();
72 Double_t x, p[5]; t.GetExternalParameters(x,p);
84 //Conversion of the covariance matrix
85 Double_t c[15]; t.GetExternalCovariance(c);
87 c[10]/=x; c[11]/=x; c[12]/=x; c[13]/=x; c[14]/=x*x;
89 Double_t c22=fX*fX*c[14] - 2*fX*c[12] + c[5];
90 Double_t c32=fX*c[13] - c[8];
91 Double_t c20=fX*c[10] - c[3], c21=fX*c[11] - c[4], c42=fX*c[14] - c[12];
94 fCzy=c[1 ]; fCzz=c[2 ];
95 fCey=c20; fCez=c21; fCee=c22;
96 fCty=c[6 ]; fCtz=c[7 ]; fCte=c32; fCtt=c[9 ];
97 fCcy=c[10]; fCcz=c[11]; fCce=c42; fCct=c[13]; fCcc=c[14];
99 if ((t.GetStatus()&AliESDtrack::kTIME) == 0) return;
101 Double_t times[10]; t.GetIntegratedTimes(times); SetIntegratedTimes(times);
102 SetIntegratedLength(t.GetIntegratedLength());
106 //____________________________________________________________________________
107 void AliTOFtrack::GetExternalParameters(Double_t& xr, Double_t x[5]) const {
109 // This function returns external TOF track representation
119 //_____________________________________________________________________________
120 void AliTOFtrack::GetExternalCovariance(Double_t cc[15]) const {
122 // This function returns external representation of the covriance matrix.
124 Double_t a=GetConvConst();
125 Double_t c22=fX*fX*fCcc-2*fX*fCce+fCee;
126 Double_t c32=fX*fCct-fCte;
127 Double_t c20=fX*fCcy-fCey, c21=fX*fCcz-fCez, c42=fX*fCcc-fCce;
130 cc[1 ]=fCzy; cc[2 ]=fCzz;
131 cc[3 ]=c20; cc[4 ]=c21; cc[5 ]=c22;
132 cc[6 ]=fCty; cc[7 ]=fCtz; cc[8 ]=c32; cc[9 ]=fCtt;
133 cc[10]=fCcy*a; cc[11]=fCcz*a; cc[12]=c42*a; cc[13]=fCct*a; cc[14]=fCcc*a*a;
138 //_____________________________________________________________________________
139 void AliTOFtrack::GetCovariance(Double_t cc[15]) const {
141 // Returns the covariance matrix.
145 cc[1]=fCzy; cc[2]=fCzz;
146 cc[3]=fCey; cc[4]=fCez; cc[5]=fCee;
147 cc[6]=fCcy; cc[7]=fCcz; cc[8]=fCce; cc[9]=fCcc;
148 cc[10]=fCty; cc[11]=fCtz; cc[12]=fCte; cc[13]=fCct; cc[14]=fCtt;
153 //_____________________________________________________________________________
154 Int_t AliTOFtrack::PropagateTo(Double_t xk,Double_t x0,Double_t rho)
156 // Propagates a track of particle with mass=pm to a reference plane
157 // defined by x=xk through media of density=rho and radiationLength=x0
159 if (xk == fX) return 1;
161 if (TMath::Abs(fC*xk - fE) >= 0.90000) {
165 // track Length measurement [SR, GSI, 17.02.2003]
167 Double_t oldX = fX, oldY = fY, oldZ = fZ;
169 Double_t x1=fX, x2=x1+(xk-x1), dx=x2-x1, y1=fY, z1=fZ;
170 Double_t c1=fC*x1 - fE;
173 Double_t r1=sqrt(1.- c1*c1);
174 Double_t c2=fC*x2 - fE;
178 Double_t r2=sqrt(1.- c2*c2);
180 fY += dx*(c1+c2)/(r1+r2);
181 fZ += dx*(c1+c2)/(c1*r2 + c2*r1)*fT;
184 Double_t rr=r1+r2, cc=c1+c2, xx=x1+x2;
185 Double_t f02=-dx*(2*rr + cc*(c1/r1 + c2/r2))/(rr*rr);
186 Double_t f04= dx*(rr*xx + cc*(c1*x1/r1+c2*x2/r2))/(rr*rr);
187 Double_t cr=c1*r2+c2*r1;
188 Double_t f12=-dx*fT*(2*cr + cc*(c2*c1/r1-r1 + c1*c2/r2-r2))/(cr*cr);
189 Double_t f13= dx*cc/cr;
190 Double_t f14=dx*fT*(cr*xx-cc*(r1*x2-c2*c1*x1/r1+r2*x1-c1*c2*x2/r2))/(cr*cr);
193 Double_t b00=f02*fCey + f04*fCcy, b01=f12*fCey + f14*fCcy + f13*fCty;
194 Double_t b10=f02*fCez + f04*fCcz, b11=f12*fCez + f14*fCcz + f13*fCtz;
195 Double_t b20=f02*fCee + f04*fCce, b21=f12*fCee + f14*fCce + f13*fCte;
196 Double_t b30=f02*fCte + f04*fCct, b31=f12*fCte + f14*fCct + f13*fCtt;
197 Double_t b40=f02*fCce + f04*fCcc, b41=f12*fCce + f14*fCcc + f13*fCct;
200 Double_t a00=f02*b20+f04*b40,a01=f02*b21+f04*b41,a11=f12*b21+f14*b41+f13*b31;
202 //F*C*Ft = C + (a + b + bt)
204 fCzy += a01 + b01 + b10;
215 //Multiple scattering ******************
216 Double_t d=sqrt((x1-fX)*(x1-fX)+(y1-fY)*(y1-fY)+(z1-fZ)*(z1-fZ));
217 Double_t p2=(1.+ GetTgl()*GetTgl())/(Get1Pt()*Get1Pt());
218 Double_t beta2=p2/(p2 + GetMass()*GetMass());
219 Double_t theta2=14.1*14.1/(beta2*p2*1e6)*d/x0*rho;
221 Double_t ey=fC*fX - fE, ez=fT;
222 Double_t xz=fC*ez, zz1=ez*ez+1, xy=fE+ey;
224 fCee += (2*ey*ez*ez*fE+1-ey*ey+ez*ez+fE*fE*ez*ez)*theta2;
225 fCte += ez*zz1*xy*theta2;
226 fCtt += zz1*zz1*theta2;
227 fCce += xz*ez*xy*theta2;
228 fCct += xz*zz1*theta2;
229 fCcc += xz*xz*theta2;
231 Double_t dc22 = (1-ey*ey+xz*xz*fX*fX)*theta2;
232 Double_t dc32 = (xz*fX*zz1)*theta2;
233 Double_t dc33 = (zz1*zz1)*theta2;
234 Double_t dc42 = (xz*fX*xz)*theta2;
235 Double_t dc43 = (zz1*xz)*theta2;
236 Double_t dc44 = (xz*xz)*theta2;
244 //Energy losses************************
245 if((5940*beta2/(1-beta2+1e-10) - beta2) < 0){return 0;}
247 Double_t dE=0.153e-3/beta2*(log(5940*beta2/(1-beta2+1e-10)) - beta2)*d*rho;
250 fC*=(1.- sqrt(p2+GetMass()*GetMass())/p2*dE);
253 // track time measurement [SR, GSI 17.02.2002]
255 if (IsStartedTimeIntegral()) {
256 Double_t l2 = (fX-oldX)*(fX-oldX) + (fY-oldY)*(fY-oldY) + (fZ-oldZ)*(fZ-oldZ);
257 AddTimeStep(TMath::Sqrt(l2));
263 //_____________________________________________________________________________
264 Int_t AliTOFtrack::PropagateToInnerTOF( Bool_t holes)
266 // Propagates a track of particle with mass=pm to a reference plane
267 // defined by x=xk through media of density=rho and radiationLength=x0
270 Double_t ymax=AliTOFGeometry::RinTOF()*TMath::Tan(0.5*AliTOFGeometry::GetAlpha());
271 Bool_t skip = kFALSE;
272 Double_t y=GetYat(AliTOFGeometry::RinTOF(),skip);
277 if (!Rotate(AliTOFGeometry::GetAlpha())) {
280 } else if (y <-ymax) {
281 if (!Rotate(-AliTOFGeometry::GetAlpha())) {
288 Int_t nsteps=Int_t((370.-x)/0.5); // 0.5 cm Steps
289 for (Int_t istep=0;istep<nsteps;istep++){
290 Float_t xp = x+istep*0.5;
292 GetPropagationParameters(holes,param);
293 PropagateTo(xp,param[0],param[1]);
297 if(!PropagateTo(AliTOFGeometry::RinTOF()))return 0;
303 //_____________________________________________________________________________
304 Int_t AliTOFtrack::Rotate(Double_t alpha)
306 // Rotates track parameters in R*phi plane
310 if (fAlpha<-TMath::Pi()) fAlpha += 2*TMath::Pi();
311 if (fAlpha>=TMath::Pi()) fAlpha -= 2*TMath::Pi();
313 Double_t x1=fX, y1=fY;
314 Double_t ca=cos(alpha), sa=sin(alpha);
315 Double_t r1=fC*fX - fE;
319 if((r1*r1) > 1) return 0;
320 fE=fE*ca + (fC*y1 + sqrt(1.- r1*r1))*sa;
322 Double_t r2=fC*fX - fE;
323 if (TMath::Abs(r2) >= 0.90000) {
324 AliWarning("Rotation failed !");
328 if((r2*r2) > 1) return 0;
329 Double_t y0=fY + sqrt(1.- r2*r2)/fC;
330 if ((fY-y0)*fC >= 0.) {
331 AliWarning("Rotation failed !!!");
336 Double_t f00=ca-1, f24=(y1 - r1*x1/sqrt(1.- r1*r1))*sa,
337 f20=fC*sa, f22=(ca + sa*r1/sqrt(1.- r1*r1))-1;
340 Double_t b00=fCyy*f00, b02=fCyy*f20+fCcy*f24+fCey*f22;
341 Double_t b10=fCzy*f00, b12=fCzy*f20+fCcz*f24+fCez*f22;
342 Double_t b20=fCey*f00, b22=fCey*f20+fCce*f24+fCee*f22;
343 Double_t b30=fCty*f00, b32=fCty*f20+fCct*f24+fCte*f22;
344 Double_t b40=fCcy*f00, b42=fCcy*f20+fCcc*f24+fCce*f22;
347 Double_t a00=f00*b00, a02=f00*b02, a22=f20*b02+f24*b42+f22*b22;
349 //F*C*Ft = C + (a + b + bt)
363 //_________________________________________________________________________
364 Double_t AliTOFtrack::GetYat(Double_t xk, Bool_t skip) const {
365 //-----------------------------------------------------------------
366 // This function calculates the Y-coordinate of a track at the plane x=xk.
367 // Needed for matching with the TOF (I.Belikov)
368 //-----------------------------------------------------------------
370 Double_t c1=fC*fX - fE, r1=TMath::Sqrt(TMath::Abs(1.- c1*c1));
371 Double_t c2=fC*xk - fE, r2=TMath::Sqrt(TMath::Abs(1.- c2*c2));
372 if( ((1.- c2*c2)<0) || ((1.- c1*c1)<0) ) skip=kTRUE;
373 return fY + (xk-fX)*(c1+c2)/(r1+r2);
375 //_________________________________________________________________________
376 void AliTOFtrack::GetPxPyPz(Double_t& px, Double_t& py, Double_t& pz) const
378 // Returns reconstructed track momentum in the global system.
380 Double_t pt=TMath::Abs(GetPt()); // GeV/c
384 if(r > 1) { py = pt; px = 0; }
385 else if(r < -1) { py = -pt; px = 0; }
387 y0=fY + sqrt(1.- r*r)/fC;
388 px=-pt*(fY-y0)*fC; //cos(phi);
389 py=-pt*(fE-fX*fC); //sin(phi);
392 Double_t tmp=px*TMath::Cos(fAlpha) - py*TMath::Sin(fAlpha);
393 py=px*TMath::Sin(fAlpha) + py*TMath::Cos(fAlpha);
398 //_________________________________________________________________________
399 void AliTOFtrack::GetGlobalXYZ(Double_t& x, Double_t& y, Double_t& z) const
401 // Returns reconstructed track coordinates in the global system.
403 x = fX; y = fY; z = fZ;
404 Double_t tmp=x*TMath::Cos(fAlpha) - y*TMath::Sin(fAlpha);
405 y=x*TMath::Sin(fAlpha) + y*TMath::Cos(fAlpha);
410 //_________________________________________________________________________
411 void AliTOFtrack::ResetCovariance() {
413 // Resets covariance matrix
418 fCey=0.; fCez=0.; fCee*=10.;
419 fCty=0.; fCtz=0.; fCte=0.; fCtt*=10.;
420 fCcy=0.; fCcz=0.; fCce=0.; fCct=0.; fCcc*=10.;
424 //_________________________________________________________________________
425 void AliTOFtrack::ResetCovariance(Float_t mult) {
427 // Resets covariance matrix
431 fCzy*=0.; fCzz*=mult;
432 fCey*=0.; fCez*=0.; fCee*=mult;
433 fCty*=0.; fCtz*=0.; fCte*=0.; fCtt*=mult;
434 fCcy*=0.; fCcz*=0.; fCce*=0.; fCct*=0.; fCcc*=mult;
437 //_____________________________________________________________________________
438 Int_t AliTOFtrack::Compare(const TObject *o) const {
439 //-----------------------------------------------------------------
440 // This function compares tracks according to the their curvature
441 //-----------------------------------------------------------------
442 AliTOFtrack *t=(AliTOFtrack*)o;
443 Double_t co=t->GetSigmaY2()*t->GetSigmaZ2();
444 Double_t c =GetSigmaY2()*GetSigmaZ2();
446 else if (c<co) return -1;
450 //_____________________________________________________________________________
451 void AliTOFtrack::GetPropagationParameters(Bool_t holes, Double_t *param) {
453 //Get average medium density, x0 while propagating the track
455 //For TRD holes description
457 Double_t thetamin = (90.-31.1) * TMath::Pi()/180.;
458 Double_t thetamax = (90.+31.1) * TMath::Pi()/180.;
460 Double_t zmin = -55.;
463 // Detector inner/outer radii
464 Double_t rTPC = 261.53;
465 Double_t rTPCTRD = 294.5;
466 Double_t rTRD = 369.1;
469 Double_t x0TPC = 40.;
470 Double_t rhoTPC =0.06124;
472 Double_t x0Air = 36.66;
473 Double_t rhoAir =1.2931e-3;
475 Double_t x0TRD = 171.7;
476 Double_t rhoTRD =0.33;
478 Int_t isec = GetSector();
479 Double_t xtr,ytr,ztr;
480 GetGlobalXYZ(xtr,ytr,ztr);
481 Float_t thetatr = TMath::ATan2(TMath::Sqrt(xtr*xtr+ytr*ytr),ztr);
484 if (isec == 0 || isec == 1 || isec == 2 ) {
485 if( thetatr>=thetamin && thetatr<=thetamax){
490 if (isec == 11 || isec == 12 || isec == 13 || isec == 14 || isec == 15 ) {
491 if( ztr>=zmin && ztr<=zmax){
499 {param[0]=x0TPC;param[1]=rhoTPC;}
500 else if(GetX() > rTPC && GetX() < rTPCTRD)
501 {param[0]=x0Air;param[1]=rhoAir;}
502 else if(GetX() >= rTPCTRD && GetX() < rTRD)
503 {param[0]=x0TRD;param[1]=rhoTRD;}
504 else if(GetX() >= rTRD )
505 {param[0]=x0Air;param[1]=rhoAir;}