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Source file of the ITS Kalman tracking
[u/mrichter/AliRoot.git] / ITS / AliITStrack.cxx
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dce1757b 1#include <iostream.h>
2#include <TMath.h>
3#include <TVector.h>
4#include <TMatrix.h>
5#include <TObjArray.h>
6
7#include "AliITS.h"
8#include "AliRun.h"
9#include "AliITStrack.h"
10
11
12ClassImp(AliITStrack)
13
14AliITStrack::AliITStrack() {
15//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
16// default constructor
17
18 fvTrack.ResizeTo(5);
19 fmCovariance = new TMatrix(5,5);
20 flistCluster = new TObjArray;
21 fNumClustInTrack =0;
22 fChi2=-1;
23 flabel =0;
24 fVertex.ResizeTo(3);
25 fErrorVertex.ResizeTo(3);
26 fLayer = -1;
27 ClusterInTrack = new TMatrix(6,9);
28 for(Int_t i=0; i<6; i++) (*ClusterInTrack)(i,6)=(*ClusterInTrack)(i,7)=
29 (*ClusterInTrack)(i,8)=-1.;
30 rtrack=0.;
31 //alphaprov=-50.; //provvisorio
32 d2.ResizeTo(6);
33 tgl2.ResizeTo(6);
34 dtgl.ResizeTo(6);
35}
36
37
38
39AliITStrack::AliITStrack(const AliITStrack &cobj) {
40//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
41
42 fvTrack.ResizeTo(5);
43 fmCovariance = new TMatrix(5,5);
44 ClusterInTrack = new TMatrix(6,9);
45 for(Int_t i=0; i<6; i++) (*ClusterInTrack)(i,6)=(*ClusterInTrack)(i,7)=
46 (*ClusterInTrack)(i,8)=-1.;
47 flistCluster = new TObjArray;
48 fVertex.ResizeTo(3);
49 fErrorVertex.ResizeTo(3);
50 fVertex = cobj.fVertex;
51 fErrorVertex = cobj.fErrorVertex;
52 flabel = cobj.flabel;
53 fLayer=cobj.fLayer;
54 fTPCtrack = cobj.fTPCtrack;
55 fNumClustInTrack = cobj.fNumClustInTrack;
56 fChi2= cobj.fChi2;
57 fvTrack = cobj.fvTrack;
58 rtrack=cobj.rtrack;
59 Dv=cobj.Dv;
60 Zv=cobj.Zv;
61 sigmaDv=cobj.sigmaDv;
62 sigmaZv=cobj.sigmaZv;
63 d2.ResizeTo(6);
64 tgl2.ResizeTo(6);
65 dtgl.ResizeTo(6);
66 d2=cobj.d2;
67 tgl2=cobj.tgl2;
68 dtgl=cobj.dtgl;
69 //alphaprov=cobj.alphaprov; //provvisorio
70
71 *fmCovariance = *cobj.fmCovariance;
72
73 *ClusterInTrack = *cobj.ClusterInTrack;
74
75 for(Int_t i=0; i<cobj.flistCluster->GetSize(); i++)
76 flistCluster->AddLast(cobj.flistCluster->At(i));
77
78}
79
80AliITStrack::AliITStrack(AliTPCtrack &obj)
81{
82//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
83
84 fTPCtrack = &obj;
85 fvTrack.ResizeTo(5);
86 fVertex.ResizeTo(3);
87 fErrorVertex.ResizeTo(3);
88
89 d2.ResizeTo(6);
90 tgl2.ResizeTo(6);
91 dtgl.ResizeTo(6);
92 AliGenerator *gener = gAlice->Generator();
93 Float_t Vxg,Vyg,Vzg;
94 gener->GetOrigin(Vxg,Vyg,Vzg);
95
96
97 fVertex(0)=(Double_t)Vxg;
98 fVertex(1)=(Double_t)Vyg;
99 fVertex(2)=(Double_t)Vzg;
100
101 fLayer = 7;
102 fmCovariance = new TMatrix(5,5);
103 ClusterInTrack = new TMatrix(6,9);
104 for(Int_t i=0; i<6; i++) (*ClusterInTrack)(i,6)=(*ClusterInTrack)(i,7)=
105 (*ClusterInTrack)(i,8)=-1.;
106 flistCluster = new TObjArray;
107 fNumClustInTrack = 0;
108 LmTPC();
109
110}
111
112AliITStrack::~AliITStrack() {
113
114 //destructor
115
116 if(fmCovariance) delete fmCovariance;
117 if(flistCluster) delete flistCluster;
118 if(ClusterInTrack) delete ClusterInTrack;
119
120}
121
122
123
124void AliITStrack::LmTPC() {
125
126// Transform the TPC state vector from TPC-local to master and build a new state vector ITS-type
127// The covariance matrix is also modified accordingly
128//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
129
130
131 TVector tpctrack(5);
132 Double_t Alpha = fTPCtrack->GetAlpha();
133
134 //printf("LmTPC: Alpha %f\n",Alpha);
135
136 tpctrack(0) = fTPCtrack->GetY();
137 tpctrack(1) = fTPCtrack->GetZ();
138 tpctrack(2) = fTPCtrack->GetC();
139 tpctrack(3) = fTPCtrack->GetEta();
140 tpctrack(4) = fTPCtrack->GetTgl();
141 //cout<< " tpctracks = "<<tpctrack(0)<<" "<<tpctrack(1)<<" "<<tpctrack(2)<<" "<<tpctrack(3)<<" "<<tpctrack(4)<<
142 //"\n ";
143
144 Double_t xm, ym, zm;
145 Double_t sina = TMath::Sin(Alpha);
146 Double_t cosa = TMath::Cos(Alpha);
147 Double_t xl= fTPCtrack->GetX();
148 xm = xl * cosa - tpctrack(0)*sina;
149 ym = xl * sina + tpctrack(0)*cosa;
150 zm = tpctrack(1);
151 //cout<<" xl e alpha = "<<xl<<" "<<Alpha<<"\n"; getchar();
152
153 Double_t x0m,y0m;
154
155 ///////////////////////////////////// determine yo //////////////////////////////////////////////////
156 Double_t Vxl=fVertex(0)*cosa+fVertex(1)*sina;
157 Double_t Vyl= -fVertex(0)*sina+fVertex(1)*cosa;
158 Double_t Xo,Yo, signy;
159 Double_t R = 1./tpctrack(2);
160 Xo = tpctrack(3) / tpctrack(2);
161 xoTPC=Xo;
162 Double_t Yo1, Yo2, diffsq1, diffsq2;
163 Yo1 = tpctrack(0) + TMath::Sqrt(R*R - (xl-Xo)*(xl-Xo));
164 Yo2 = tpctrack(0) - TMath::Sqrt(R*R - (xl-Xo)*(xl-Xo));
165 diffsq1=TMath::Abs((Yo1-Vyl)*(Yo1-Vyl)+(Xo-Vxl)*(Xo-Vxl)-R*R);
166 diffsq2=TMath::Abs((Yo2-Vyl)*(Yo2- Vyl)+(Xo-Vxl)*(Xo-Vxl)-R*R);
167 if(diffsq1<diffsq2) {Yo=Yo1; signy=1.;} else {Yo=Yo2; signy=-1.;};
168 ////////////////////////////////////////////////////////////////////////////////////////////////////
169
170 x0m = Xo * cosa - Yo * sina;
171 y0m = Xo * sina + Yo * cosa;
172
173 rtrack=TMath::Sqrt(xm*xm+ym*ym);
174 Double_t pigre=TMath::Pi();
175 Double_t phi;
176 if(ym == 0. || xm == 0.) {
177 if(ym == 0. && xm == 0.) {cout << " Error in AliITStrack::LmTPC x=0 and y=0 \n"; getchar();}
178 if(ym ==0. && xm>0.) phi=0.;
179 if(ym==0. && xm<0.) phi=pigre;
180 if(xm==0 && ym>0.) phi=pigre/2.;
181 if(xm==0 && ym<0.) phi=1.5*pigre;
182 }
183 else {
184 if (xm>0. && ym>0.) phi=TMath::ATan(ym/xm);
185 if (xm<0. && ym>0.) phi=pigre+TMath::ATan(ym/xm);
186 if (xm<0. && ym<0.) phi=pigre+TMath::ATan(ym/xm);
187 if (xm>0. && ym<0.) phi=(2*pigre)+TMath::ATan(ym/xm);
188 };
189 if(phi<0. || phi>(2*pigre)) {cout<<"attention error on phi in AliITStrack:LmTPC \n"; getchar();}
190
191 fvTrack(0)= phi;
192 fvTrack(1)=zm;
193 fvTrack(3)=tpctrack(4);
194 fvTrack(4)=tpctrack(2);
195 /*
196 //provvisorio
197 alphaprov=pigre-PhiDef(x0m,y0m)-PhiDef(fVertex(0),fVertex(1));
198 if(alphaprov<0.) alphaprov=alphaprov+2.*pigre;
199 //cout<<" PhiDef(x0m,y0m) ="<<PhiDef(x0m,y0m)<<"\n";
200 //cout<<" PhiDef(fVertex(0),fVertex(1)) = "<<PhiDef(fVertex(0),fVertex(1))<<"\n";
201 //cout<<"alphaprov = "<<alphaprov<<"\n"; getchar();
202 //cout<<" fvTrack(0) prima = "<<fvTrack(0)<<"\n";
203 fvTrack(0)-=alphaprov;
204 if(fvTrack(0)<0.) fvTrack(0)+= 2.*pigre;
205 //cout<<" fvTrack(0) dopo = "<<fvTrack(0)<<" alphaprov = "<<alphaprov<<"\n";
206 cout<<" fvertex = "<<fVertex(0)<<" "<<fVertex(1)<<" "<<fVertex(2)<<"\n";
207 fVertex(0)=0.;
208 fVertex(1)=0.;
209///////////////////////////////////////////////////////////////////////////////////////////////////
210*/
211
212 Double_t dd=TMath::Sqrt((x0m-fVertex(0))*(x0m-fVertex(0))+(y0m-fVertex(1))*(y0m-fVertex(1)));
213 Double_t signdd;
214 if (R>0) signdd=1.; else signdd=-1.;
215 fvTrack(2)=signdd*dd-R;
216 //cout<<" fvertex = "<<fVertex(0)<<" "<<fVertex(1)<<" "<<fVertex(2)<<"\n";
217 //cout<<" fvTrack(2) ="<<fvTrack(2)<<"\n"; getchar();
218
219 TMatrix localM(5,5);
220 Double_t cov[15];
221 fTPCtrack->GetCovariance(cov);
222 localM(0,0)=cov[0];
223 localM(1,1)=cov[2];
224 localM(2,2)=cov[5];
225 localM(3,3)=cov[9];
226 localM(4,4)=cov[14];
227 localM(1,0)=localM(0,1)=cov[1];
228 localM(2,0)=localM(0,2)=cov[3];
229 localM(2,1)=localM(1,2)=cov[4];
230 localM(3,0)=localM(0,3)=cov[6];
231 localM(3,1)=localM(1,3)=cov[7];
232 localM(3,2)=localM(2,3)=cov[8];
233 localM(4,0)=localM(0,4)=cov[10];
234 localM(4,1)=localM(1,4)=cov[11];
235 localM(4,2)=localM(2,4)=cov[12];
236 localM(4,3)=localM(3,4)=cov[13];
237
238 TMatrix F(5,5);
239
240 Double_t dfidy, dDdy, dDdC, dDdeta;
241
242 dfidy=(xm*cosa+ym*sina)/(rtrack*rtrack);
243 dDdy=signdd*((y0m-fVertex(1))*cosa-(x0m-fVertex(0))*sina)/dd;
244 Double_t dyodr=signy*(R+(xl-Xo)*tpctrack(3))/TMath::Sqrt(R*R-(xl-Xo)*(xl-Xo));
245 Double_t dyomdr=sina*tpctrack(3)+cosa*dyodr;
246 Double_t dxomdr=cosa*tpctrack(3)-sina*dyodr;
247 Double_t ddddR=((x0m-fVertex(0))*dxomdr+(y0m-fVertex(1))*dyomdr)/dd;
248 dDdC=-R*R*(signdd*ddddR-1.);
249 Double_t dyoldxol=signy*(xl-Xo)/TMath::Sqrt(R*R-(xl-Xo)*(xl-Xo));
250 Double_t dxomdeta=R*(cosa-sina*dyoldxol);
251 Double_t dyomdeta=R*(sina+cosa*dyoldxol);
252 dDdeta=signdd*((x0m-fVertex(0))*dxomdeta+(y0m-fVertex(1))*dyomdeta)/dd;
253 F(0,0)=dfidy;
254 F(0,1)=F(0,2)=F(0,3)=F(0,4)=0.;
255 F(1,1)=1.;
256 F(1,0)=F(1,2)=F(1,3)=F(1,4)=0.;
257 F(2,0)=dDdy;
258 F(2,2)=dDdC;
259 F(2,3)=dDdeta;
260 F(2,1)=F(2,4)=0.;
261 F(3,0)=F(3,1)=F(3,2)=F(3,3)=0.;
262 F(3,4)=1.;
263 F(4,0)=F(4,1)=F(4,3)=F(4,4)=0.;
264 F(4,2)=1.;
265// cout<<" Matrice F \n";
266// F.Print(); getchar();
267 TMatrix Ft(TMatrix::kTransposed,F);
268 TMatrix temp(localM);
269 temp*=Ft;
270 TMatrix B(F);
271 B*=temp; // B=F*localM*Ft
272// cout<<" Matrice C\n";
273// B.Print(); getchar();
274 *fmCovariance = B;
275}
276
277
278AliITStrack &AliITStrack::operator=(AliITStrack obj) {
279//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
280
281 delete fmCovariance;
282 delete flistCluster;
283 delete ClusterInTrack;
284 fmCovariance = new TMatrix(5,5);
285 ClusterInTrack = new TMatrix(6,9);
286 flistCluster = new TObjArray;
287 flabel = obj.flabel;
288 fTPCtrack = obj.fTPCtrack;
289 fvTrack.ResizeTo(5);
290 fNumClustInTrack = obj.fNumClustInTrack;
291 fChi2= obj.fChi2;
292 fVertex=obj.fVertex;
293 fErrorVertex=obj.fErrorVertex;
294 fvTrack = obj.fvTrack;
295 fLayer=obj.fLayer;
296 rtrack=obj.rtrack;
297 Dv=obj.Dv;
298 Zv=obj.Zv;
299 sigmaDv=obj.sigmaDv;
300 sigmaZv=obj.sigmaZv;
301 d2=obj.d2;
302 tgl2=obj.tgl2;
303 dtgl=obj.dtgl;
304 //alphaprov=obj.alphaprov; //proviisorio
305
306 *fmCovariance = *obj.fmCovariance;
307 *ClusterInTrack = *obj.ClusterInTrack;
308 for(Int_t i=0; i<obj.flistCluster->GetSize(); i++) flistCluster->AddLast(obj.flistCluster->At(i));
309
310 return *this;
311
312}
313
314void AliITStrack::PutCluster(Int_t layerc, TVector vecclust) {
315//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
316
317 (*ClusterInTrack)(layerc,0) = vecclust(0);
318 (*ClusterInTrack)(layerc,1) = vecclust(1);
319 (*ClusterInTrack)(layerc,2) = vecclust(2);
320 (*ClusterInTrack)(layerc,3) = vecclust(3);
321 (*ClusterInTrack)(layerc,4) = vecclust(4);
322 (*ClusterInTrack)(layerc,5) = vecclust(5);
323 (*ClusterInTrack)(layerc,6) = vecclust(6);
324 (*ClusterInTrack)(layerc,7) = vecclust(7);
325 (*ClusterInTrack)(layerc,8) = vecclust(8);
326
327}
328
329
330void AliITStrack::GetClusters() {
331
332 TMatrix A(*ClusterInTrack);
333 TMatrix B(6,3);
334 for(Int_t i=0;i<6; i++){
335 B(i,0)=A(i,6); B(i,1)=A(i,7); B(i,2)=A(i,8);
336 }
337 A.Print();
338 // B.Print();
339
340}
341
342
343TVector AliITStrack::GetLabTrack(Int_t lay) {
344 TVector VecLabel(3);
345 VecLabel(0)=( (Float_t) (*ClusterInTrack)(lay,6) );
346 VecLabel(1)=( (Float_t) (*ClusterInTrack)(lay,7) );
347 VecLabel(2)=( (Float_t) (*ClusterInTrack)(lay,8) );
348 return VecLabel;
349}
350
351void AliITStrack::Search(TVector VecTotLabref, Long_t &labref, Int_t &freq){
352//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
353// define label
354
355 Int_t vecfreq[18];
356
357 for(Int_t i=0; i<18; i++) vecfreq[i]=0;
358
359 for(Int_t i=0; i<18; i++) {
360 for(Int_t j=0; j<18; j++) {
361 if(VecTotLabref(i) == 0.) VecTotLabref(i)=-3.;
362 if( (VecTotLabref(i)>=0.) && (VecTotLabref(i)==VecTotLabref(j)) ) vecfreq[i]++;
363 }
364 }
365 Int_t imax=-1000;
366 Long_t labdefault= (Long_t)1000000.;
367 freq=0;
368 for(Int_t i=0; i<18; i++) {
369 if(vecfreq[i]>freq) {freq=vecfreq[i]; imax=i;}
370 }
371 if(imax<0) labref=labdefault; else labref=(Long_t) VecTotLabref(imax);
372}
373
374
375void AliITStrack::Propagation(Double_t rk) {
376//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
377//Propagation of track
378 Double_t duepi=2.*TMath::Pi();
379 Double_t rkm1=rtrack;
380//cout<<" rk e rkm1 dentro Propagation "<<rk<<" "<<rkm1<<"\n";
381
382 //
383 Double_t Ak=argA(rk), Akm1=argA(rkm1);
384 Double_t ak=arga(rk), akm1=arga(rkm1);
385 fvTrack(0)+=TMath::ASin(Ak)-TMath::ASin(Akm1);
386 if(fvTrack(0)>duepi) fvTrack(0)-=duepi;
387 if(fvTrack(0)<0.) fvTrack(0)+=duepi;
388
389 Double_t tgl=fvTrack(3);
390 Double_t C=fvTrack(4);
391 Double_t D=fvTrack(2);
392 Double_t Cy=C/2;
393 fvTrack(1)+=tgl/Cy*(TMath::ASin(ak)-TMath::ASin(akm1));
394 rtrack=rk;
395//cout<<"fvTrack(0) fvTrack(1) e rtrack dentro Propagation = "<<fvTrack(0)<<" "<<fvTrack(1)<<" "<<rtrack<<"\n";
396//getchar();
397
398 Double_t Bk=argB(rk), Bkm1=argB(rkm1);
399 Double_t Ck=argC(rk), Ckm1=argC(rkm1);
400 TMatrix F(5,5);
401 F(0,2)=Ck/TMath::Sqrt(1.-Ak*Ak) - Ckm1/TMath::Sqrt(1.-Akm1*Akm1);
402 F(0,4)=Bk/TMath::Sqrt(1.-Ak*Ak) - Bkm1/TMath::Sqrt(1.-Akm1*Akm1);
403 F(1,2)=tgl*D*(1./rk - 1./rkm1);
404 F(1,3) = rk - rkm1;
405 F(0,0)=F(1,1)=F(2,2)=F(3,3)=F(4,4)=1.;
406
407 TMatrix Ft(TMatrix::kTransposed,F);
408 TMatrix temp(*fmCovariance);
409//cout<<" C Matrix prima propagation =\n";
410//temp.Print(); getchar();
411 temp*=Ft;
412 TMatrix B(F);
413 B*=temp;
414//cout<<" C Matrix dopo propagation =\n"; // B=F*C*Ft
415//B.Print(); getchar();
416 *fmCovariance = B;
417
418}
419void AliITStrack::AddEL(Double_t signdE, Bool_t flagtot, Double_t mass=0.1396) {
420//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
421// add energy loss
422
423 TVector s(6);
424 s(0)=0.0026+0.00283; s(1)=0.018; s(2)=0.0094; s(3)=0.0095; s(4)=0.0091; s(5)=0.0087;
425//0.00277 is added in the first layer to take into account the energy loss in the beam pipe
426
427 Double_t cl=1.+fvTrack(3)*fvTrack(3); // cl=1/(cosl)**2 = 1 + (tgl)**2
428 Double_t sqcl=TMath::Sqrt(cl);
429 Double_t pt=GetPt();
430
431 Double_t p2=pt*pt*cl;
432 Double_t E=TMath::Sqrt(p2+mass*mass);
433 Double_t beta2=p2/(p2+mass*mass);
434
435 Double_t dE;
436 if(flagtot) {
437 Double_t stot=s(0)+s(1)+s(2)+s(3)+s(4)+s(5);
438 dE=0.153/beta2*(log(5940*beta2/(1-beta2)) - beta2)*stot*21.82*sqcl;
439 } else {
440 dE=0.153/beta2*(log(5940*beta2/(1-beta2)) - beta2)*s(fLayer-1)*21.82*sqcl;
441 }
442 dE=signdE*dE/1000.;
443
444 E+=dE;
445 Double_t p=TMath::Sqrt(E*E-mass*mass);
446 Double_t sign=1.;
447 if((fvTrack)(4) < 0.) sign=-1.;
448 pt=sign*p/sqcl;
449 Double_t CC=(0.3*0.2)/(pt*100.);
450 fvTrack(4)=CC;
451
452}
453
454void AliITStrack::Correct(Double_t rk) {
455//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
456// correct track to take into account real geometry detector
457
458 Double_t duepi=2.*TMath::Pi();
459 Double_t rkm1=rtrack;
460 Double_t Ak=argA(rk), Akm1=argA(rkm1);
461 Double_t ak=arga(rk), akm1=arga(rkm1);
462
463 fvTrack(0)+=TMath::ASin(Ak)-TMath::ASin(Akm1);
464 if(fvTrack(0)>duepi) fvTrack(0)-=duepi;
465 if(fvTrack(0)<0.) fvTrack(0)+=duepi;
466
467 Double_t tgl=fvTrack(3);
468 Double_t C=fvTrack(4);
469 Double_t Cy=C/2;
470 fvTrack(1)+=tgl/Cy*(TMath::ASin(ak)-TMath::ASin(akm1));
471 rtrack=rk;
472
473}
474
475void AliITStrack::AddMS() {
476
477////////// Modification of the covariance matrix to take into account multiple scattering ///////////
478//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
479
480 TVector s(6);
481
482 s(0)=0.0026+0.00283; s(1)=0.018; s(2)=0.0094; s(3)=0.0095; s(4)=0.0091; s(5)=0.0087;
483//0.00277 is added in the first layer to take into account the energy loss in the beam pipe
484 Double_t mass=0.1396;
485 Int_t layer=(Int_t)GetLayer();
486
487 Double_t tgl=fvTrack(3);
488 Double_t cosl=TMath::Cos(TMath::ATan(tgl));
489 Double_t D=fvTrack(2);
490 Double_t C=fvTrack(4);
491 Double_t Cy=C/2.;
492 Double_t Q20=1./(cosl*cosl);
493 Double_t Q30=C*tgl;
494
495 Double_t Q40=Cy*(rtrack*rtrack-D*D)/(1.+ 2.*Cy*D);
496 Double_t dd=D+Cy*D*D-Cy*rtrack*rtrack;
497 Double_t Q41=-1./cosl*TMath::Sqrt(rtrack*rtrack - dd*dd)/(1.+ 2.*Cy*D);
498
499 /*
500 Double_t xk=rtrack*TMath::Cos(fvTrack(0));
501 Double_t yk=rtrack*TMath::Sin(fvTrack(0));
502 Double_t rvertex=TMath::Sqrt((xk-fVertex(0))*(xk-fVertex(0)) + (yk-fVertex(1))*(yk-fVertex(1)));
503 Double_t Q40=Cy*(rvertex*rvertex-D*D)/(1.+ 2.*Cy*D);
504 Double_t dd=D+Cy*D*D-Cy*rvertex*rvertex;
505 Double_t Q41=-1./cosl*TMath::Sqrt(rvertex*rvertex - dd*dd)/(1.+ 2.*Cy*D);
506 */
507
508 TMatrix J(5,2);
509 J(0,0)=0.; J(0,1)=0.;
510 J(1,0)=0.; J(1,1)=0.;
511 J(2,0)=Q40;
512 J(2,1)=Q41;
513 J(3,0)=Q20; J(3,1)=0.;
514 J(4,0)=Q30; J(4,1)=0.;
515
516 Double_t p2=(GetPt()*GetPt())/(cosl*cosl);
517 Double_t beta2=p2/(p2+mass*mass);
518 Double_t theta2=14.1*14.1/(beta2*p2*1.e6)*(s(layer-1)/cosl);
519
520 TMatrix Jt(TMatrix::kTransposed,J);
521 TMatrix Q(J,TMatrix::kMult,Jt);
522 Q*=theta2;
523
524 (*fmCovariance)+=Q;
525
526}
527
528void AliITStrack::PrimaryTrack() {
529//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
530// calculation of part of covariance matrix for vertex constraint
531
532 Double_t Rlayer[6];
533
534 Rlayer[0]=4.; Rlayer[1]=7.; Rlayer[2]=14.9; Rlayer[3]=23.8;
535 Rlayer[4]=39.1; Rlayer[5]=43.6;
536
537 Double_t Cy=fvTrack(4)/2.;
538 Double_t tgl=(fvTrack(1)-Zv)*Cy/TMath::ASin(Cy*rtrack);
539 Double_t rtrack=1.;
540 fvTrack(0)=0.;
541 fvTrack(1)=rtrack*tgl;
542 fvTrack(2)=Dv;
543 fvTrack(3)=tgl;
544
545 TMatrix newC(5,5);
546 newC(4,4)=(*fmCovariance)(4,4);
547 (*fmCovariance)=newC;
548 AddEL(1.,1);
549 fLayer=0;
550 for (Int_t i=0; i<6; i++) {
551 Propagation(Rlayer[i]);
552 fLayer++;
553 d2(i)=(*fmCovariance)(2,2);
554 tgl2(i)=(*fmCovariance)(3,3);
555 dtgl(i)=(*fmCovariance)(2,3);
556 AddMS();
557 AddEL(-1,0);
558 }
559}
560
561
562Int_t AliITStrack::DoNotCross(Double_t rk) const{
563 Double_t C=fvTrack(4);
564 Double_t D=fvTrack(2);
565 Double_t Cy=C/2.;
566 return (TMath::Abs((Cy*rk+(1.+Cy*D)*D/rk)/(1.+2.*Cy*D))>=1.)?1:0;
567}
568
569
570Double_t AliITStrack::argA(Double_t rk) const {
571 Double_t C=fvTrack(4);
572 Double_t D=fvTrack(2);
573 Double_t Cy=C/2.;
574 Double_t arg=(Cy*rk + (1 + Cy*D)*D/rk)/(1.+ 2.*Cy*D);
575 if (TMath::Abs(arg) < 1.) return arg;
576 //cout<<"class AliITSTrack: argA out of range !\n";/* getchar();*/
577 return (arg>0) ? 1. : -1.;
578}
579
580Double_t AliITStrack::arga(Double_t rk) const {
581 Double_t C=fvTrack(4);
582 Double_t D=fvTrack(2);
583 Double_t Cy=C/2.;
584 Double_t arg=(rk*rk - D*D)/(1.+ 2.*Cy*D);
585 if (arg<0.) {/*cout<<"class AliITSTrack: arga out of range !\n";*/ arg=0.;}
586 return Cy*TMath::Sqrt(arg);
587}
588
589Double_t AliITStrack::argB(Double_t rk) const {
590 Double_t C=fvTrack(4);
591 Double_t D=fvTrack(2);
592 Double_t Cy=C/2.;
593 return (rk*rk - D*D)/(rk*(1.+ 2.*Cy*D)*(1.+ 2.*Cy*D));
594}
595
596Double_t AliITStrack::argC(Double_t rk) const {
597 Double_t C=fvTrack(4);
598 Double_t D=fvTrack(2);
599 Double_t Cy=C/2.;
600 return (1./rk - 2.*Cy*argA(rk)/(1.+ 2.*Cy*D));
601}
602/*
603Double_t AliITStrack::PhiDef(Double_t x, Double_t y){
604 Double_t pigre= TMath::Pi();
605 Double_t phi;
606 if(y == 0. || x == 0.) {
607 if(y == 0. && x == 0.) {
608 cout << " Error in AliITStracking::PhiDef x=0 and y=0 \n"; getchar();
609 }
610 if(y==0. && x>0.) phi=0.;
611 if(y==0. && x<0.) phi=pigre;
612 if(x==0 && y>0.) phi=pigre/2.;
613 if(x==0 && y<0.) phi=1.5*pigre;
614 }
615 else {
616 if (x>0. && y>0.) phi=TMath::ATan(y/x);
617 if (x<0. && y>0.) phi=pigre+TMath::ATan(y/x);
618 if (x<0. && y<0.) phi=pigre+TMath::ATan(y/x);
619 if (x>0. && y<0.) phi=(2.*pigre)+TMath::ATan(y/x);
620 }
621 if(phi<0. || phi>(2*pigre)) {
622 cout<<" Error on phi in AliITStracking::PhiDef \n"; getchar();
623 }
624 return phi;
625}
626*/