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73042f01 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
73042f01 16//-----------------------------------------------------------------
17// Implementation of the TPC track class
18//
19// Origin: Iouri Belikov, CERN, Jouri.Belikov@cern.ch
20//-----------------------------------------------------------------
21
b19a0509 22#include <iostream.h>
23
24#include "AliCluster.h"
73042f01 25#include "AliTPCtrack.h"
26#include "AliTPCcluster.h"
27#include "AliTPCClustersRow.h"
28#include "AliTPCClustersArray.h"
29
30ClassImp(AliTPCtrack)
31//_________________________________________________________________________
32AliTPCtrack::AliTPCtrack(UInt_t index, const Double_t xx[5],
b19a0509 33const Double_t cc[15], Double_t xref, Double_t alpha) : AliKalmanTrack() {
73042f01 34 //-----------------------------------------------------------------
35 // This is the main track constructor.
36 //-----------------------------------------------------------------
73042f01 37 fdEdx=0.;
38
39 fAlpha=alpha;
40 fX=xref;
41
b19a0509 42 fP0=xx[0]; fP1=xx[1]; fP2=xx[2]; fP3=xx[3]; fP4=xx[4];
73042f01 43
b19a0509 44 fC00=cc[0];
45 fC10=cc[1]; fC11=cc[2];
46 fC20=cc[3]; fC21=cc[4]; fC22=cc[5];
47 fC30=cc[6]; fC31=cc[7]; fC32=cc[8]; fC33=cc[9];
48 fC40=cc[10]; fC41=cc[11]; fC42=cc[12]; fC43=cc[13]; fC44=cc[14];
73042f01 49
73042f01 50 fIndex[fN++]=index;
51}
52
53//_____________________________________________________________________________
b19a0509 54AliTPCtrack::AliTPCtrack(const AliTPCtrack& t) : AliKalmanTrack(t) {
73042f01 55 //-----------------------------------------------------------------
56 // This is a track copy constructor.
57 //-----------------------------------------------------------------
b19a0509 58 for (Int_t i=0; i<fN; i++) fIndex[i]=t.fIndex[i];
59
73042f01 60 fdEdx=t.fdEdx;
61
62 fAlpha=t.fAlpha;
63 fX=t.fX;
73042f01 64}
65
66//_____________________________________________________________________________
67Int_t AliTPCtrack::PropagateTo(Double_t xk,Double_t x0,Double_t rho,Double_t pm)
68{
69 //-----------------------------------------------------------------
70 // This function propagates a track to a reference plane x=xk.
71 //-----------------------------------------------------------------
b19a0509 72 if (TMath::Abs(fP3*xk - fP2) >= 0.99999) {
73042f01 73 if (fN>4) cerr<<fN<<" AliTPCtrack warning: Propagation failed !\n";
74 return 0;
75 }
76
b19a0509 77 Double_t x1=fX, x2=x1+(xk-x1), dx=x2-x1, y1=fP0, z1=fP1;
78 Double_t c1=fP3*x1 - fP2, r1=sqrt(1.- c1*c1);
79 Double_t c2=fP3*x2 - fP2, r2=sqrt(1.- c2*c2);
73042f01 80
b19a0509 81 fP0 += dx*(c1+c2)/(r1+r2);
82 fP1 += dx*(c1+c2)/(c1*r2 + c2*r1)*fP4;
73042f01 83
84 //f = F - 1
85 Double_t rr=r1+r2, cc=c1+c2, xx=x1+x2;
b19a0509 86 Double_t f02=-dx*(2*rr + cc*(c1/r1 + c2/r2))/(rr*rr);
87 Double_t f03= dx*(rr*xx + cc*(c1*x1/r1+c2*x2/r2))/(rr*rr);
73042f01 88 Double_t cr=c1*r2+c2*r1;
b19a0509 89 Double_t f12=-dx*fP4*(2*cr + cc*(c2*c1/r1-r1 + c1*c2/r2-r2))/(cr*cr);
90 Double_t f13=dx*fP4*(cr*xx-cc*(r1*x2-c2*c1*x1/r1+r2*x1-c1*c2*x2/r2))/(cr*cr);
73042f01 91 Double_t f14= dx*cc/cr;
92
93 //b = C*ft
b19a0509 94 Double_t b00=f02*fC20 + f03*fC30, b01=f12*fC20 + f13*fC30 + f14*fC40;
95 Double_t b10=f02*fC21 + f03*fC31, b11=f12*fC21 + f13*fC31 + f14*fC41;
96 Double_t b20=f02*fC22 + f03*fC32, b21=f12*fC22 + f13*fC32 + f14*fC42;
97 Double_t b30=f02*fC32 + f03*fC33, b31=f12*fC32 + f13*fC33 + f14*fC43;
98 Double_t b40=f02*fC42 + f03*fC43, b41=f12*fC42 + f13*fC43 + f14*fC44;
73042f01 99
100 //a = f*b = f*C*ft
101 Double_t a00=f02*b20+f03*b30,a01=f02*b21+f03*b31,a11=f12*b21+f13*b31+f14*b41;
102
103 //F*C*Ft = C + (a + b + bt)
b19a0509 104 fC00 += a00 + 2*b00;
105 fC10 += a01 + b01 + b10;
106 fC20 += b20;
107 fC30 += b30;
108 fC40 += b40;
109 fC11 += a11 + 2*b11;
110 fC21 += b21;
111 fC31 += b31;
112 fC41 += b41;
73042f01 113
114 fX=x2;
115
116 //Multiple scattering******************
b19a0509 117 Double_t d=sqrt((x1-fX)*(x1-fX)+(y1-fP0)*(y1-fP0)+(z1-fP1)*(z1-fP1));
118 Double_t p2=GetP()*GetP();
73042f01 119 Double_t beta2=p2/(p2 + pm*pm);
b19a0509 120 Double_t theta2=14.1*14.1/(beta2*p2*1e6)*d/x0*rho/2.;
121 //Double_t theta2=1.0259e-6*10*10/20/(beta2*p2)*d*rho;
73042f01 122
b19a0509 123 Double_t ey=fP3*fX - fP2, ez=fP4;
124 Double_t xz=fP3*ez, zz1=ez*ez+1, xy=fP2+ey;
73042f01 125
b19a0509 126 fC33 += xz*xz*theta2;
127 fC32 += xz*ez*xy*theta2;
128 fC43 += xz*zz1*theta2;
129 fC22 += (2*ey*ez*ez*fP2+1-ey*ey+ez*ez+fP2*fP2*ez*ez)*theta2;
130 fC42 += ez*zz1*xy*theta2;
131 fC44 += zz1*zz1*theta2;
73042f01 132
133 //Energy losses************************
134 Double_t dE=0.153e-3/beta2*(log(5940*beta2/(1-beta2)) - beta2)*d*rho;
135 if (x1 < x2) dE=-dE;
b19a0509 136 cc=fP3;
137 fP3*=(1.- sqrt(p2+pm*pm)/p2*dE);
138 fP2+=fX*(fP3-cc);
73042f01 139
140 return 1;
141}
142
143//_____________________________________________________________________________
b19a0509 144Int_t AliTPCtrack::PropagateToVertex(Double_t x0,Double_t rho,Double_t pm)
73042f01 145{
146 //-----------------------------------------------------------------
147 // This function propagates tracks to the "vertex".
148 //-----------------------------------------------------------------
b19a0509 149 Double_t c=fP3*fX - fP2;
150 Double_t tgf=-fP2/(fP3*fP0 + sqrt(1-c*c));
73042f01 151 Double_t snf=tgf/sqrt(1.+ tgf*tgf);
b19a0509 152 Double_t xv=(fP2+snf)/fP3;
153 return PropagateTo(xv,x0,rho,pm);
73042f01 154}
155
156//_____________________________________________________________________________
b19a0509 157void AliTPCtrack::Update(const AliCluster *c, Double_t chisq, UInt_t index)
73042f01 158{
159 //-----------------------------------------------------------------
160 // This function associates a cluster with this track.
161 //-----------------------------------------------------------------
162 Double_t r00=c->GetSigmaY2(), r01=0., r11=c->GetSigmaZ2();
b19a0509 163 r00+=fC00; r01+=fC10; r11+=fC11;
73042f01 164 Double_t det=r00*r11 - r01*r01;
165 Double_t tmp=r00; r00=r11/det; r11=tmp/det; r01=-r01/det;
166
b19a0509 167 Double_t k00=fC00*r00+fC10*r01, k01=fC00*r01+fC10*r11;
168 Double_t k10=fC10*r00+fC11*r01, k11=fC10*r01+fC11*r11;
169 Double_t k20=fC20*r00+fC21*r01, k21=fC20*r01+fC21*r11;
170 Double_t k30=fC30*r00+fC31*r01, k31=fC30*r01+fC31*r11;
171 Double_t k40=fC40*r00+fC41*r01, k41=fC40*r01+fC41*r11;
73042f01 172
b19a0509 173 Double_t dy=c->GetY() - fP0, dz=c->GetZ() - fP1;
174 Double_t cur=fP3 + k30*dy + k31*dz, eta=fP2 + k20*dy + k21*dz;
73042f01 175 if (TMath::Abs(cur*fX-eta) >= 0.99999) {
176 if (fN>4) cerr<<fN<<" AliTPCtrack warning: Filtering failed !\n";
177 return;
178 }
179
b19a0509 180 fP0 += k00*dy + k01*dz;
181 fP1 += k10*dy + k11*dz;
182 fP2 = eta;
183 fP3 = cur;
184 fP4 += k40*dy + k41*dz;
73042f01 185
b19a0509 186 Double_t c01=fC10, c02=fC20, c03=fC30, c04=fC40;
187 Double_t c12=fC21, c13=fC31, c14=fC41;
73042f01 188
b19a0509 189 fC00-=k00*fC00+k01*fC10; fC10-=k00*c01+k01*fC11;
190 fC20-=k00*c02+k01*c12; fC30-=k00*c03+k01*c13;
191 fC40-=k00*c04+k01*c14;
73042f01 192
b19a0509 193 fC11-=k10*c01+k11*fC11;
194 fC21-=k10*c02+k11*c12; fC31-=k10*c03+k11*c13;
195 fC41-=k10*c04+k11*c14;
73042f01 196
b19a0509 197 fC22-=k20*c02+k21*c12; fC32-=k20*c03+k21*c13;
198 fC42-=k20*c04+k21*c14;
73042f01 199
b19a0509 200 fC33-=k30*c03+k31*c13;
201 fC43-=k30*c04+k31*c14;
73042f01 202
b19a0509 203 fC44-=k40*c04+k41*c14;
73042f01 204
205 fIndex[fN++]=index;
206 fChi2 += chisq;
207}
208
209//_____________________________________________________________________________
210Int_t AliTPCtrack::Rotate(Double_t alpha)
211{
212 //-----------------------------------------------------------------
213 // This function rotates this track.
214 //-----------------------------------------------------------------
215 fAlpha += alpha;
216
b19a0509 217 Double_t x1=fX, y1=fP0;
73042f01 218 Double_t ca=cos(alpha), sa=sin(alpha);
b19a0509 219 Double_t r1=fP3*fX - fP2;
73042f01 220
221 fX = x1*ca + y1*sa;
b19a0509 222 fP0=-x1*sa + y1*ca;
223 fP2=fP2*ca + (fP3*y1 + sqrt(1.- r1*r1))*sa;
73042f01 224
b19a0509 225 Double_t r2=fP3*fX - fP2;
73042f01 226 if (TMath::Abs(r2) >= 0.99999) {
227 if (fN>4) cerr<<fN<<" AliTPCtrack warning: Rotation failed !\n";
228 return 0;
229 }
230
b19a0509 231 Double_t y0=fP0 + sqrt(1.- r2*r2)/fP3;
232 if ((fP0-y0)*fP3 >= 0.) {
73042f01 233 if (fN>4) cerr<<fN<<" AliTPCtrack warning: Rotation failed !!!\n";
234 return 0;
235 }
236
237 //f = F - 1
b19a0509 238 Double_t f00=ca-1, f23=(y1 - r1*x1/sqrt(1.- r1*r1))*sa,
239 f20=fP3*sa, f22=(ca + sa*r1/sqrt(1.- r1*r1))-1;
73042f01 240
241 //b = C*ft
b19a0509 242 Double_t b00=fC00*f00, b02=fC00*f20+fC30*f23+fC20*f22;
243 Double_t b10=fC10*f00, b12=fC10*f20+fC31*f23+fC21*f22;
244 Double_t b20=fC20*f00, b22=fC20*f20+fC32*f23+fC22*f22;
245 Double_t b30=fC30*f00, b32=fC30*f20+fC33*f23+fC32*f22;
246 Double_t b40=fC40*f00, b42=fC40*f20+fC43*f23+fC42*f22;
73042f01 247
248 //a = f*b = f*C*ft
b19a0509 249 Double_t a00=f00*b00, a02=f00*b02, a22=f20*b02+f23*b32+f22*b22;
73042f01 250
251 // *** Double_t dy2=fCyy;
252
253 //F*C*Ft = C + (a + b + bt)
b19a0509 254 fC00 += a00 + 2*b00;
255 fC10 += b10;
256 fC20 += a02+b20+b02;
257 fC30 += b30;
258 fC40 += b40;
259 fC21 += b12;
260 fC32 += b32;
261 fC22 += a22 + 2*b22;
262 fC42 += b42;
73042f01 263
264 // *** fCyy+=dy2*sa*sa*r1*r1/(1.- r1*r1);
265 // *** fCzz+=d2y*sa*sa*fT*fT/(1.- r1*r1);
266
267 return 1;
268}
269
73042f01 270//_____________________________________________________________________________
271void AliTPCtrack::GetPxPyPz(Double_t& px, Double_t& py, Double_t& pz) const
272{
273 //-----------------------------------------------------------------
274 // This function returns reconstructed track momentum in the global system.
275 //-----------------------------------------------------------------
276 Double_t pt=TMath::Abs(GetPt()); // GeV/c
b19a0509 277 Double_t r=fP3*fX-fP2;
278 Double_t y0=fP0 + sqrt(1.- r*r)/fP3;
279 px=-pt*(fP0-y0)*fP3; //cos(phi);
280 py=-pt*(fP2-fX *fP3); //sin(phi);
281 pz=pt*fP4;
73042f01 282 Double_t tmp=px*TMath::Cos(fAlpha) - py*TMath::Sin(fAlpha);
283 py=px*TMath::Sin(fAlpha) + py*TMath::Cos(fAlpha);
284 px=tmp;
285}
286
287//_____________________________________________________________________________
288void AliTPCtrack::CookLabel(AliTPCClustersArray *ca) {
289 //-----------------------------------------------------------------
290 // This function cooks the track label. If label<0, this track is fake.
291 //-----------------------------------------------------------------
292 Int_t *lb=new Int_t[fN];
293 Int_t *mx=new Int_t[fN];
294 AliTPCcluster **clusters=new AliTPCcluster*[fN];
295
296 Int_t i;
297 Int_t sec,row,ncl;
298 for (i=0; i<fN; i++) {
299 lb[i]=mx[i]=0;
300 GetCluster(i,sec,row,ncl);
301 AliTPCClustersRow *clrow=ca->GetRow(sec,row);
302 clusters[i]=(AliTPCcluster*)(*clrow)[ncl];
303 }
304
305 Int_t lab=123456789;
306 for (i=0; i<fN; i++) {
307 AliTPCcluster *c=clusters[i];
308 lab=TMath::Abs(c->GetLabel(0));
309 Int_t j;
310 for (j=0; j<fN; j++)
311 if (lb[j]==lab || mx[j]==0) break;
312 lb[j]=lab;
313 (mx[j])++;
314 }
315
316 Int_t max=0;
317 for (i=0; i<fN; i++)
318 if (mx[i]>max) {max=mx[i]; lab=lb[i];}
319
320 for (i=0; i<fN; i++) {
321 AliTPCcluster *c=clusters[i];
322 if (TMath::Abs(c->GetLabel(1)) == lab ||
323 TMath::Abs(c->GetLabel(2)) == lab ) max++;
324 }
325
326 SetLabel(-lab);
327 if (1.-Float_t(max)/fN <= 0.10) {
328 //Int_t tail=Int_t(0.08*fN);
329 Int_t tail=14;
330 max=0;
331 for (i=1; i<=tail; i++) {
332 AliTPCcluster *c=clusters[fN-i];
333 if (lab == TMath::Abs(c->GetLabel(0)) ||
334 lab == TMath::Abs(c->GetLabel(1)) ||
335 lab == TMath::Abs(c->GetLabel(2))) max++;
336 }
337 if (max >= Int_t(0.5*tail)) SetLabel(lab);
338 }
339
340 delete[] lb;
341 delete[] mx;
342 delete[] clusters;
343}