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aecdf013 1// ITS Track Class
2//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
3// It contain all the usefull information for the track and the method to calculate, modify or extract them
4// The track is mainly caracterized by the state vector of elements (fX0, fX1, fX2, fX3, fX4) and the
5// corresponding covariance matrix of elements (C00, C10, ..... C44) that is triangular
6//
7#include <iostream.h>
8#include <TMath.h>
9#include <TVector.h>
10#include <TObjArray.h>
11#include "AliRun.h"
12#include "AliITSRad.h"
13#include "AliITSTrackV1.h"
14#include "AliGenerator.h"
a3894645 15#include "AliMagF.h"
aecdf013 16
17
18ClassImp(AliITSTrackV1)
19
20AliITSTrackV1::AliITSTrackV1() {
21//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
22// default constructor
23
24 fC00=fC10=fC11=fC20=fC21=fC22=fC30=fC31=fC32=fC33=fC40=fC41=fC42=fC43=fC44=0.;
25 flistCluster = new TObjArray;
26 fNumClustInTrack =0;
27 fChi2=-1;
28 flabel =0;
29 fVertex.ResizeTo(3);
30 fErrorVertex.ResizeTo(3);
31 fLayer = -1;
32 fClusterInTrack = new TMatrix(6,9);
33 Int_t i;
34 for(i=0; i<6; i++) (*fClusterInTrack)(i,6)=(*fClusterInTrack)(i,7)=
35 (*fClusterInTrack)(i,8)=-1.;
70a9314b 36 frtrack=0.;
37 fnoclust=0;
aecdf013 38 fd2.ResizeTo(6);
39 ftgl2.ResizeTo(6);
a3894645 40 fdtgl.ResizeTo(6);
41
42//////////////////////////////////////// gets magnetic field factor ////////////////////////////////
43
44 AliMagF * fieldPointer = gAlice->Field();
45 fFieldFactor = (Double_t)fieldPointer->Factor();
46 //cout<< " field factor = "<<fFieldFactor<<"\n"; getchar();
47
48/////////////////////////////////////////////////////////////////////////////////////////////////////////
49
aecdf013 50}
51
52
53
54AliITSTrackV1::AliITSTrackV1(const AliITSTrackV1 &cobj) {
55//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
56// copy constructor
57
58 fClusterInTrack = new TMatrix(6,9);
59 Int_t i;
60 for(i=0; i<6; i++) (*fClusterInTrack)(i,6)=(*fClusterInTrack)(i,7)=
61 (*fClusterInTrack)(i,8)=-1.;
62 flistCluster = new TObjArray;
63 fVertex.ResizeTo(3);
64 fErrorVertex.ResizeTo(3);
65 fVertex = cobj.fVertex;
66 fErrorVertex = cobj.fErrorVertex;
67 flabel = cobj.flabel;
68 fLayer=cobj.fLayer;
69 fTPCtrack = cobj.fTPCtrack;
70 fNumClustInTrack = cobj.fNumClustInTrack;
71 fChi2= cobj.fChi2;
72 fX0=cobj.fX0; fX1=cobj.fX1; fX2=cobj.fX2; fX3=cobj.fX3; fX4=cobj.fX4;
73 frtrack=cobj.frtrack;
74 fDv=cobj.fDv;
75 fZv=cobj.fZv;
76 fsigmaDv=cobj.fsigmaDv;
77 fsigmaZv=cobj.fsigmaZv;
78 fd2.ResizeTo(6);
79 ftgl2.ResizeTo(6);
80 fdtgl.ResizeTo(6);
81 fd2=cobj.fd2;
82 ftgl2=cobj.ftgl2;
83 fdtgl=cobj.fdtgl;
70a9314b 84 fnoclust=cobj.fnoclust;
aecdf013 85
86 fC00=cobj.fC00; fC10=cobj.fC10; fC11=cobj.fC11; fC20=cobj.fC20; fC21=cobj.fC21;
87 fC22=cobj.fC22; fC30=cobj.fC30; fC31=cobj.fC31; fC32=cobj.fC32; fC33=cobj.fC33;
88 fC40=cobj.fC40; fC41=cobj.fC41; fC42=cobj.fC42; fC43=cobj.fC43; fC44=cobj.fC44;
89
90 *fClusterInTrack = *cobj.fClusterInTrack;
a3894645 91
92 fFieldFactor=cobj.fFieldFactor;
aecdf013 93
94 for(i=0; i<cobj.flistCluster->GetSize(); i++)
95 flistCluster->AddLast(cobj.flistCluster->At(i));
96
97}
98
99AliITSTrackV1::AliITSTrackV1(AliTPCtrack &obj)
100{
101//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
102// special constructor to convert a TPC track into an ITS track
103
a3894645 104//////////////////////////////////////// gets magnetic field factor ////////////////////////////////
105
106 AliMagF * fieldPointer = gAlice->Field();
107 fFieldFactor = (Double_t)fieldPointer->Factor();
108 //cout<< " field factor = "<<fFieldFactor<<"\n"; getchar();
109
110/////////////////////////////////////////////////////////////////////////////////////////////////////////
111
112
aecdf013 113 fTPCtrack = &obj;
114 fVertex.ResizeTo(3);
115 fErrorVertex.ResizeTo(3);
116
117 fd2.ResizeTo(6);
118 ftgl2.ResizeTo(6);
119 fdtgl.ResizeTo(6);
120 AliGenerator *gener = gAlice->Generator();
121 Float_t vxg,vyg,vzg;
122 gener->GetOrigin(vxg,vyg,vzg);
123
124
125 fVertex(0)=(Double_t)vxg;
126 fVertex(1)=(Double_t)vyg;
127 fVertex(2)=(Double_t)vzg;
128
129 fLayer = 7;
130 //fmCovariance = new TMatrix(5,5);
131 fClusterInTrack = new TMatrix(6,9);
132
133 Int_t i;
134 for(i=0; i<6; i++) (*fClusterInTrack)(i,6)=(*fClusterInTrack)(i,7)=
135 (*fClusterInTrack)(i,8)=-1.;
136 flistCluster = new TObjArray;
70a9314b 137 fNumClustInTrack = 0;
138 fnoclust=0;
aecdf013 139 LmTPC();
140
141}
142
143
144AliITSTrackV1::~AliITSTrackV1() {
145//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
146//destructor
147
e73fe7f3 148 if(flistCluster) {
149 flistCluster->Delete();
150 delete flistCluster;
151 }
aecdf013 152 if(fClusterInTrack) delete fClusterInTrack;
153
154}
155
156void AliITSTrackV1::PutCElements(Double_t C00, Double_t C10, Double_t C11, Double_t C20, Double_t C21,
157Double_t C22, Double_t C30, Double_t C31, Double_t C32, Double_t C33, Double_t C40,
158Double_t C41, Double_t C42, Double_t C43, Double_t C44){
159//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
160// puts elements of covariance matrix
161
162 fC00=C00; fC10=C10; fC11=C11; fC20=C20; fC21=C21; fC22=C22; fC30=C30; fC31=C31; fC32=C32; fC33=C33;
163 fC40=C40; fC41=C41; fC42=C42; fC43=C43; fC44=C44;
164}
165
166void AliITSTrackV1::GetCElements(Double_t &C00, Double_t &C10, Double_t &C11, Double_t &C20, Double_t &C21,
167Double_t &C22, Double_t &C30, Double_t &C31, Double_t &C32, Double_t &C33, Double_t &C40,
168Double_t &C41, Double_t &C42, Double_t &C43, Double_t &C44) const {
169//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
170// gets elements of covariance matrix
171
172
173 C00=fC00; C10=fC10; C11=fC11; C20=fC20; C21=fC21; C22=fC22; C30=fC30; C31=fC31; C32=fC32; C33=fC33;
174 C40=fC40; C41=fC41; C42=fC42; C43=fC43; C44=fC44;
175
176}
177
178void AliITSTrackV1::GetXElements(Double_t &X0, Double_t &X1, Double_t &X2, Double_t &X3, Double_t &X4) const {
179//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
180// gets the elements of the state vector
181 X0=fX0; X1=fX1; X2=fX2; X3=fX3; X4=fX4;
182}
183
184void AliITSTrackV1::PutXElements(Double_t X0, Double_t X1, Double_t X2, Double_t X3, Double_t X4){
185//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
186// puts the elements of the state vector
187 fX0=X0; fX1=X1; fX2=X2; fX3=X3; fX4=X4;
188}
189
190void AliITSTrackV1::LmTPC() {
191//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
192// Transform the TPC state vector from TPC-local to master and build a new state vector ITS-type
193// The covariance matrix is also modified accordingly
194
195
196 Double_t alpha = fTPCtrack->GetAlpha();
197
198 //printf("LmTPC: alpha %f\n",alpha);
199
200 Double_t yTPC = fTPCtrack->GetY();
201 Double_t zTPC = fTPCtrack->GetZ();
202 Double_t cTPC = fTPCtrack->GetC();
203 Double_t etaTPC = fTPCtrack->GetEta();
204 Double_t tglTPC = fTPCtrack->GetTgl();
205
206
207 Double_t xm, ym, zm;
208 Double_t sina = TMath::Sin(alpha);
209 Double_t cosa = TMath::Cos(alpha);
210 Double_t xl= fTPCtrack->GetX();
211 xm = xl * cosa - yTPC*sina;
212 ym = xl * sina + yTPC*cosa;
213 zm = zTPC;
214 //cout<<" xl e alpha = "<<xl<<" "<<alpha<<"\n"; getchar();
215
216 Double_t x0m,y0m;
217
218 ///////////////////////////////////// determine yo //////////////////////////////////////////////////
219
220 Double_t vxl=fVertex(0)*cosa+fVertex(1)*sina;
221 Double_t vyl= -fVertex(0)*sina+fVertex(1)*cosa;
222 Double_t xo,yo, signy;
223 Double_t r = 1./cTPC;
224 xo = etaTPC / cTPC;
70a9314b 225 //fxoTPC=xo;
aecdf013 226 Double_t yo1, yo2, diffsq1, diffsq2;
227 yo1 = yTPC + TMath::Sqrt(r*r - (xl-xo)*(xl-xo));
228 yo2 = yTPC - TMath::Sqrt(r*r - (xl-xo)*(xl-xo));
229 diffsq1=TMath::Abs((yo1-vyl)*(yo1-vyl)+(xo-vxl)*(xo-vxl)-r*r);
230 diffsq2=TMath::Abs((yo2-vyl)*(yo2- vyl)+(xo-vxl)*(xo-vxl)-r*r);
231 if(diffsq1<diffsq2) {yo=yo1; signy=1.;} else {yo=yo2; signy=-1.;};
232
233 ////////////////////////////////////////////////////////////////////////////////////////////////////
234
235 x0m = xo * cosa - yo * sina;
236 y0m = xo * sina + yo * cosa;
237
238 frtrack=TMath::Sqrt(xm*xm+ym*ym);
70a9314b 239 /*
aecdf013 240 Double_t pigre=TMath::Pi();
241 Double_t phi=0.0;
242 if(ym == 0. || xm == 0.) {
243 if(ym == 0. && xm == 0.) {cout << " Error in AliITSTrackV1::LmTPC x=0 and y=0 \n"; getchar();}
244 if(ym ==0. && xm>0.) phi=0.;
245 if(ym==0. && xm<0.) phi=pigre;
246 if(xm==0 && ym>0.) phi=pigre/2.;
247 if(xm==0 && ym<0.) phi=1.5*pigre;
248 }
249 else {
250 if (xm>0. && ym>0.) phi=TMath::ATan(ym/xm);
251 if (xm<0. && ym>0.) phi=pigre+TMath::ATan(ym/xm);
252 if (xm<0. && ym<0.) phi=pigre+TMath::ATan(ym/xm);
253 if (xm>0. && ym<0.) phi=(2*pigre)+TMath::ATan(ym/xm);
254 };
70a9314b 255 if(phi<0. || phi>(2*pigre)) {cout<<"attention error on phi in AliITSTrackV1:LmTPC \n"; getchar();}
256 */
257
258 Double_t phi=TMath::ATan2(ym,xm); if(phi<0) phi=2.*TMath::Pi()+phi; //nuova def phi
aecdf013 259
260 fX0=phi;
261 fX1=zm;
262 fX3=tglTPC;
263 fX4=cTPC;
264
265
266 Double_t dd=TMath::Sqrt((x0m-fVertex(0))*(x0m-fVertex(0))+(y0m-fVertex(1))*(y0m-fVertex(1)));
267 Double_t signdd;
268 if (r>0) signdd=1.; else signdd=-1.;
269 fX2=signdd*dd-r;
270 //cout<<" fvertex = "<<fVertex(0)<<" "<<fVertex(1)<<" "<<fVertex(2)<<"\n";
271
272 Double_t cov[15];
273 fTPCtrack->GetCovariance(cov);
274
275 Double_t dfidy, dDdy, dDdC, dDdeta;
276
277 dfidy=(xm*cosa+ym*sina)/(frtrack*frtrack);
278 dDdy=signdd*((y0m-fVertex(1))*cosa-(x0m-fVertex(0))*sina)/dd;
279 Double_t dyodr=signy*(r+(xl-xo)*etaTPC)/TMath::Sqrt(r*r-(xl-xo)*(xl-xo));
280 Double_t dyomdr=sina*etaTPC+cosa*dyodr;
281 Double_t dxomdr=cosa*etaTPC-sina*dyodr;
282 Double_t ddddR=((x0m-fVertex(0))*dxomdr+(y0m-fVertex(1))*dyomdr)/dd;
283 dDdC=-r*r*(signdd*ddddR-1.);
284 Double_t dyoldxol=signy*(xl-xo)/TMath::Sqrt(r*r-(xl-xo)*(xl-xo));
285 Double_t dxomdeta=r*(cosa-sina*dyoldxol);
286 Double_t dyomdeta=r*(sina+cosa*dyoldxol);
287 dDdeta=signdd*((x0m-fVertex(0))*dxomdeta+(y0m-fVertex(1))*dyomdeta)/dd;
288
289 Double_t f00=dfidy;
290 Double_t f20=dDdy;
291 Double_t f22=dDdC;
292 Double_t f23=dDdeta;
293
294 Double_t t00=cov[0]*f00;
295 Double_t t02=cov[0]*f20+cov[6]*f22+cov[3]*f23;
296 Double_t t20=cov[6]*f00;
297 Double_t t22=cov[6]*f20+cov[9]*f22+cov[8]*f23;
298
299 fC00=f00*t00;
300 fC10=cov[1]*f00;
301 fC11=cov[2];
302 fC20=f20*t00+f22*t20+f23*cov[3]*f00;
303 fC21=f20*cov[1]+f22*cov[7]+f23*cov[4];
304 fC22=f20*t02+f22*t22+f23*(cov[3]*f20+cov[8]*f22+cov[5]*f23);
305 fC30=cov[10]*f00;
306 fC31=cov[11];
307 fC32=cov[10]*f20+cov[13]*f22+cov[12]*f23;
308 fC33=cov[14];
309 fC40=t20;
310 fC41=cov[7];
311 fC42=t22;
312 fC43=cov[13];
313 fC44=cov[9];
314
315 //cout<<" C32 e C44 = "<<fC32<<" "<<fC44<<"\n"; getchar();
316
317}
318
319
320AliITSTrackV1 &AliITSTrackV1::operator=(AliITSTrackV1 obj) {
321//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
322// assignement operator
323
e73fe7f3 324 if (flistCluster) {
325 flistCluster->Delete();
326 delete flistCluster;
327 }
aecdf013 328 delete fClusterInTrack;
329 fClusterInTrack = new TMatrix(6,9);
330 flistCluster = new TObjArray;
331 flabel = obj.flabel;
332 fTPCtrack = obj.fTPCtrack;
333 fNumClustInTrack = obj.fNumClustInTrack;
334 fChi2= obj.fChi2;
335 fVertex=obj.fVertex;
336 fErrorVertex=obj.fErrorVertex;
337 fX0=obj.fX0; fX1=obj.fX1; fX2=obj.fX2; fX3=obj.fX3; fX4=obj.fX4;
338 fLayer=obj.fLayer;
339 frtrack=obj.frtrack;
340 fDv=obj.fDv;
341 fZv=obj.fZv;
342 fsigmaDv=obj.fsigmaDv;
343 fsigmaZv=obj.fsigmaZv;
344 fd2=obj.fd2;
345 ftgl2=obj.ftgl2;
70a9314b 346 fdtgl=obj.fdtgl;
347 fnoclust=obj.fnoclust;
aecdf013 348
349 fC00=obj.fC00; fC10=obj.fC10; fC11=obj.fC11; fC20=obj.fC20; fC21=obj.fC21;
350 fC22=obj.fC22; fC30=obj.fC30; fC31=obj.fC31; fC32=obj.fC32; fC33=obj.fC33;
351 fC40=obj.fC40; fC41=obj.fC41; fC42=obj.fC42; fC43=obj.fC43; fC44=obj.fC44;
352
353
354 *fClusterInTrack = *obj.fClusterInTrack;
355 Int_t i;
356 for(i=0; i<obj.flistCluster->GetSize(); i++) flistCluster->AddLast(obj.flistCluster->At(i));
357
358 return *this;
359
360}
361
362void AliITSTrackV1::PutCluster(Int_t layerc, TVector vecclust) {
363//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
364// put information for clusters
365
366 (*fClusterInTrack)(layerc,0) = vecclust(0);
367 (*fClusterInTrack)(layerc,1) = vecclust(1);
368 (*fClusterInTrack)(layerc,2) = vecclust(2);
369 (*fClusterInTrack)(layerc,3) = vecclust(3);
370 (*fClusterInTrack)(layerc,4) = vecclust(4);
371 (*fClusterInTrack)(layerc,5) = vecclust(5);
372 (*fClusterInTrack)(layerc,6) = vecclust(6);
373 (*fClusterInTrack)(layerc,7) = vecclust(7);
374 (*fClusterInTrack)(layerc,8) = vecclust(8);
375
376}
377
378
379void AliITSTrackV1::GetClusters() {
380//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
381// prints the clusters belonging to the current track
382
383 TMatrix a(*fClusterInTrack);
384 TMatrix b(6,3);
385 Int_t i;
386 for(i=0;i<6; i++){
387 b(i,0)=a(i,6); b(i,1)=a(i,7); b(i,2)=a(i,8);
388 }
389 a.Print();
390 // b.Print();
391
392}
393
394
395TVector AliITSTrackV1::GetLabTrack(Int_t lay) {
396//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
397// gets the label of the track
398
399 TVector vecLabel(3);
400 vecLabel(0)=( (Float_t) (*fClusterInTrack)(lay,6) );
401 vecLabel(1)=( (Float_t) (*fClusterInTrack)(lay,7) );
402 vecLabel(2)=( (Float_t) (*fClusterInTrack)(lay,8) );
403 return vecLabel;
404}
405
406void AliITSTrackV1::Search(TVector VecTotLabref, Long_t &labref, Int_t &freq){
407//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
408// define label
409
410 Int_t vecfreq[18];
411
412 Int_t i,j;
413 for(i=0; i<18; i++) vecfreq[i]=0;
414
415 for(i=0; i<18; i++) {
416 for(j=0; j<18; j++) {
417 // if(VecTotLabref(i) == 0.) VecTotLabref(i)=-3.; //commentato il 5-3-2001
418 if( (VecTotLabref(i)>=0.) && (VecTotLabref(i)==VecTotLabref(j)) ) vecfreq[i]++;
419 }
420 }
421 Int_t imax=-1000;
422 Long_t labdefault= (Long_t)1000000.;
423 freq=0;
424 for(i=0; i<18; i++) {
425 if(vecfreq[i]>freq) {freq=vecfreq[i]; imax=i;}
426 }
427 if(imax<0) labref=labdefault; else labref=(Long_t) VecTotLabref(imax);
428}
429
430
431void AliITSTrackV1::Propagation(Double_t rk) {
432//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
433//Propagation of track
434 Double_t duepi=2.*TMath::Pi();
435 Double_t rkm1=frtrack;
436//cout<<" rk e rkm1 dentro Propagation "<<rk<<" "<<rkm1<<"\n";
437
438 //
439 Double_t aAk=ArgA(rk), aAkm1=ArgA(rkm1);
440 Double_t ak=Arga(rk), akm1=Arga(rkm1);
441 fX0+=TMath::ASin(aAk)-TMath::ASin(aAkm1);
442
443 if(fX0>duepi) fX0-=duepi;
444 if(fX0<0.) fX0+=duepi;
445
446 Double_t tgl=fX3;
447 Double_t c=fX4;
448 Double_t d=fX2;
449 Double_t cy=c/2;
450 fX1+=tgl/cy*(TMath::ASin(ak)-TMath::ASin(akm1));
451 frtrack=rk;
452
453
454 Double_t bk=ArgB(rk), bkm1=ArgB(rkm1);
455 Double_t ck=ArgC(rk), ckm1=ArgC(rkm1);
456
457 Double_t f02=ck/TMath::Sqrt(1.-aAk*aAk) - ckm1/TMath::Sqrt(1.-aAkm1*aAkm1);
458 Double_t f04=bk/TMath::Sqrt(1.-aAk*aAk) - bkm1/TMath::Sqrt(1.-aAkm1*aAkm1);
459 Double_t f12=tgl*d*(1./rk - 1./rkm1);
460 Double_t f13=rk - rkm1;
461
462
463 Double_t c00=fC00;
464 Double_t c10=fC10;
465 Double_t c11=fC11;
466 Double_t c20=fC20;
467 Double_t c21=fC21;
468 Double_t c22=fC22;
469 Double_t c30=fC30;
470 Double_t c31=fC31;
471 Double_t c32=fC32;
472 Double_t c33=fC33;
473 Double_t c40=fC40;
474 Double_t c41=fC41;
475 Double_t c42=fC42;
476 Double_t c43=fC43;
477 Double_t c44=fC44;
478
479 Double_t r10=c10+c21*f02+c41*f04;
480 Double_t r20=c20+c22*f02+c42*f04;
481 Double_t r30=c30+c32*f02+c43*f04;
482 Double_t r40=c40+c42*f02+c44*f04;
483 Double_t r21=c21+c22*f12+c32*f13;
484 Double_t r31=c31+c32*f12+c33*f13;
485 Double_t r41=c41+c42*f12+c43*f13;
486
487 fC00=c00+c20*f02+c40*f04+f02*r20+f04*r40;
488 fC10=r10+f12*r20+f13*r30;
489 fC11=c11+c21*f12+c31*f13+f12*r21+f13*r31;
490 fC20=r20;
491 fC21=r21;
492 fC30=r30;
493 fC31=r31;
494 fC40=r40;
495 fC41=r41;
496
497}
498
499void AliITSTrackV1::AddEL(AliITSRad *rl, Double_t signdE, Bool_t flagtot, Double_t mass) {
500//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
501// add energy loss
502
503 TVector s(6);
504 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;
505 //s(0)=0.0026+0.00283*2.; s(1)=0.018*2.; s(2)=0.0094; s(3)=0.0095; s(4)=0.0091; s(5)=0.0087;
506 //0.00277 is added in the first layer to take into account the energy loss in the beam pipe
507
508 //for(int k=0; k<6; k++) cout<<s(k)<<" "; cout<<"\n";
509 Int_t k;
70a9314b 510 //for(k=0; k<6; k++) s(k)=s(k)*1.6; //forint
511 for(k=0; k<6; k++) s(k)=s(k)*1.7; //forint
aecdf013 512
513 Double_t phi=fX0;
514
515 if(phi<0.174 ) s(5)=s(5)+0.012;
a3894645 516 if(phi>6.1 ) s(5)=s(5)+0.012; // to take into account rail
517 if(phi>2.96 && phi<3.31 ) s(5)=s(5)+0.012;
aecdf013 518
70a9314b 519 /*
aecdf013 520 Double_t tgl=fX3;
521 Double_t theta=((TMath::Pi())/2.)-TMath::ATan(tgl);
522 //phi*=180./TMath::Pi();
523 //theta*=180./TMath::Pi();
524 //Double_t rad90=(TMath::Pi())/2.;
525 Double_t rad40=(TMath::Pi())*40./180.;
526 Double_t rad100=(TMath::Pi())*100/180;
527 Double_t rad360=(TMath::Pi())*2.;
528 Int_t imax=rl->Getimax();
529 Int_t jmax=rl->Getjmax();
530 Int_t i=(Int_t) ( (theta-rad40)/rad100*imax);
531 Int_t j=(Int_t) ( phi/rad360*jmax );
532 //Int_t i=(Int_t)( ((theta-((TMath::Pi())/4.))/((TMath::Pi())/2.))*imax );
533 //Int_t j=(Int_t)( (phi/((TMath::Pi())*2.))*jmax );
534 if(i<0) i=0;
535 if(i>=imax) i=imax-1;
536 if(j<0) j=0;
537 if(j>=jmax) j=jmax-1;
70a9314b 538
aecdf013 539 s(0) = 0.0028/TMath::Sin(theta)+( rl->GetRadMatrix1() )(i,j); // 0.0028 takes into account the beam pipe
540 s(1) = ( rl->GetRadMatrix2() )(i,j);
541 s(2) = ( rl->GetRadMatrix3() )(i,j);
542 s(3) = ( rl->GetRadMatrix4() )(i,j);
543 s(4) = ( rl->GetRadMatrix5() )(i,j);
544 s(5) = ( rl->GetRadMatrix6() )(i,j);
545
546
547 */
548
549 //for(int k=0; k<6; k++) cout<<s(k)<<" "; getchar();
550
551 //if(phi>60) {cout<<" phi = "<<phi<<"\n"; getchar();}
552 //if(theta<45 || theta>135) {cout<<" theta = "<<theta<<"\n"; getchar();}
553 //cout<<" dentro AddEl: phi, theta = "<<phi<<" "<<theta<<"\n"; getchar();
554
70a9314b 555 Double_t cl=1.+fX3*fX3; // cl=1/(cosl)**2 = 1 + (tgl)**2
aecdf013 556 Double_t sqcl=TMath::Sqrt(cl);
557 Double_t pt=GetPt();
558
559 Double_t p2=pt*pt*cl;
560 Double_t e=TMath::Sqrt(p2+mass*mass);
561 Double_t beta2=p2/(p2+mass*mass);
562
563 Double_t dE;
564 if(flagtot) {
565 Double_t stot=s(0)+s(1)+s(2)+s(3)+s(4)+s(5);
566 dE=0.153/beta2*(log(5940*beta2/(1-beta2)) - beta2)*stot*21.82*sqcl;
567 } else {
568 dE=0.153/beta2*(log(5940*beta2/(1-beta2)) - beta2)*s(fLayer-1)*21.82*sqcl;
569 }
570 dE=signdE*dE/1000.;
571
572 e+=dE;
573 Double_t p=TMath::Sqrt(e*e-mass*mass);
574 Double_t sign=1.;
575 if(fX4 < 0.) sign=-1.;
576 pt=sign*p/sqcl;
a3894645 577 Double_t cc=(0.299792458*0.2*fFieldFactor)/(pt*100.);
aecdf013 578 fX4=cc;
579
580}
581
582void AliITSTrackV1::Correct(Double_t rk) {
583//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
584// correct track to take into account real geometry detector
585
586 Double_t duepi=2.*TMath::Pi();
587 Double_t rkm1=frtrack;
588 Double_t aAk=ArgA(rk), aAkm1=ArgA(rkm1);
589 Double_t ak=Arga(rk), akm1=Arga(rkm1);
590
591 fX0+=TMath::ASin(aAk)-TMath::ASin(aAkm1);
592 if(fX0>duepi) fX0-=duepi;
593 if(fX0<0.) fX0+=duepi;
594
595 Double_t tgl=fX3;
596 Double_t c=fX4;
597 Double_t cy=c/2;
598 fX1+=tgl/cy*(TMath::ASin(ak)-TMath::ASin(akm1));
599 frtrack=rk;
600
601}
602
70a9314b 603void AliITSTrackV1::AddMS(AliITSRad *rl, Double_t mass) {
aecdf013 604//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
605////////// Modification of the covariance matrix to take into account multiple scattering ///////////
606
607 TVector s(6);
608
609 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;
610 // s(0)=0.0026+0.00283*2.; s(1)=0.018*2.; s(2)=0.0094; s(3)=0.0095; s(4)=0.0091; s(5)=0.0087;
611//0.00277 is added in the first layer to take into account the energy loss in the beam pipe
612
613 Int_t k;
70a9314b 614 //for(k=0; k<6; k++) s(k)=s(k)*1.6; // forint
615 for(k=0; k<6; k++) s(k)=s(k)*1.7; // forint
aecdf013 616
617 Double_t phi=fX0;
618 if(phi<0.174 ) s(5)=s(5)+0.012; //aggiunta provvisoria
619 if(phi>6.1 ) s(5)=s(5)+0.012; //aggiunta provvisoria
620 if(phi>2.96 && phi< 3.31) s(5)=s(5)+0.012; //aggiunta provvisoria
70a9314b 621
aecdf013 622
623 Double_t tgl=fX3;
70a9314b 624 /*
aecdf013 625 Double_t theta=((TMath::Pi())/2.)-TMath::ATan(tgl);
626 Double_t rad40=(TMath::Pi())*40./180.; // rivedere
627 Double_t rad100=(TMath::Pi())*100/180;
628 Double_t rad360=(TMath::Pi())*2.;
629 Int_t imax=rl->Getimax();
630 Int_t jmax=rl->Getjmax();
631 Int_t i=(Int_t) ( (theta-rad40)/rad100*imax);
632 Int_t j=(Int_t) ( phi/rad360*jmax);
633
634 if(i<0) i=0;
635 if(i>=imax) i=imax-1;
636 if(j<0) j=0;
637 if(j>=jmax) j=jmax-1;
70a9314b 638
aecdf013 639 s(0) = 0.0028/TMath::Sin(theta)+( rl->GetRadMatrix1() )(i,j); // 0.0028 takes into account the beam pipe
640 s(1) = ( rl->GetRadMatrix2() )(i,j);
641 s(2) = ( rl->GetRadMatrix3() )(i,j);
642 s(3) = ( rl->GetRadMatrix4() )(i,j);
643 s(4) = ( rl->GetRadMatrix5() )(i,j);
644 s(5) = ( rl->GetRadMatrix6() )(i,j);
645 */
70a9314b 646 //Double_t mass=0.1396;
aecdf013 647 Int_t layer=(Int_t)GetLayer();
648
649 Double_t cosl=TMath::Cos(TMath::ATan(tgl));
650 Double_t d=fX2;
651 Double_t c=fX4;
652 Double_t cy=c/2.;
653 Double_t q20=1./(cosl*cosl);
654 Double_t q30=c*tgl;
655
656 Double_t q40=cy*(frtrack*frtrack-d*d)/(1.+ 2.*cy*d);
657 Double_t dd=d+cy*d*d-cy*frtrack*frtrack;
658 Double_t dprova=frtrack*frtrack - dd*dd;
659 Double_t q41=0.;
660 if(dprova>0.) q41=-1./cosl*TMath::Sqrt(dprova)/(1.+ 2.*cy*d);
661
662 Double_t p2=(GetPt()*GetPt())/(cosl*cosl);
663 Double_t beta2=p2/(p2+mass*mass);
664 Double_t theta2=14.1*14.1/(beta2*p2*1.e6)*(s(layer-1)/cosl);
665
666 fC22+=theta2*(q40*q40+q41*q41);
667 fC32+=theta2*q20*q40;
668 fC33+=theta2*q20*q20;
669 fC42+=theta2*q30*q40;
670 fC43+=theta2*q30*q20;
671 fC44+=theta2*q30*q30;
672
673}
674void AliITSTrackV1::PrimaryTrack(AliITSRad *rl) {
675//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
676// calculation of part of covariance matrix for vertex constraint
677
678 Double_t rlayer[6];
679
680 rlayer[0]=4.; rlayer[1]=7.; rlayer[2]=14.9; rlayer[3]=23.8;
681 rlayer[4]=39.1; rlayer[5]=43.6;
682
683 Double_t cy=fX4/2.;
684 Double_t tgl=(fX1-fZv)*cy/TMath::ASin(cy*frtrack);
685 Double_t frtrack=1.;
686 fX0=0.;
687 fX1=frtrack*tgl;
688 fX2=fDv;
689 fX3=tgl;
690
691 fC00=fC10=fC11=fC20=fC21=fC22=fC30=fC31=fC32=fC33=fC40=fC41=fC42=fC43=0.;
692
693 AddEL(rl,1.,1);
694 fLayer=0;
695 Int_t i;
696 for (i=0; i<6; i++) {
697 Propagation(rlayer[i]);
698 fLayer++;
699 fd2(i)=fC22;
700 ftgl2(i)=fC33;
701 fdtgl(i)=fC32;
702 AddMS(rl);
703 AddEL(rl,-1,0);
704 }
705}
706
707
708Int_t AliITSTrackV1::DoNotCross(Double_t rk) const{
709//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
710// determine if the track cross a layer
711
712 Double_t c=fX4;
713 Double_t d=fX2;
714 Double_t cy=c/2.;
715 return (TMath::Abs((cy*rk+(1.+cy*d)*d/rk)/(1.+2.*cy*d))>=1.)?1:0;
716}
717
718
719Double_t AliITSTrackV1::ArgA(Double_t rk) const {
720//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
721// quantity usefull in Propagation
722 Double_t c=fX4;
723 Double_t d=fX2;
724 Double_t cy=c/2.;
725 Double_t arg=(cy*rk + (1 + cy*d)*d/rk)/(1.+ 2.*cy*d);
726 if (TMath::Abs(arg) < 1.) return arg;
727 //cout<<"class AliITSTrack: ArgA out of range !\n";/* getchar();*/
728 return (arg>0) ? 0.99999999999 : -0.9999999999;
729}
730
731Double_t AliITSTrackV1::Arga(Double_t rk) const {
732//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
733// quantity usefull in Propagation
734 Double_t c=fX4;
735 Double_t d=fX2;
736 Double_t cy=c/2.;
737 Double_t arg=(rk*rk - d*d)/(1.+ 2.*cy*d);
738 if (arg<0.) {/*cout<<"class AliITSTrack: Arga out of range !\n";*/ arg=0.;}
739 return cy*TMath::Sqrt(arg);
740}
741
742Double_t AliITSTrackV1::ArgB(Double_t rk) const {
743//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
744// quantity usefull in Propagation
745 Double_t c=fX4;
746 Double_t d=fX2;
747 Double_t cy=c/2.;
748 return (rk*rk - d*d)/(rk*(1.+ 2.*cy*d)*(1.+ 2.*cy*d));
749}
750
751Double_t AliITSTrackV1::ArgC(Double_t rk) const {
752//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
753// quantity usefull in Propagation
754 Double_t c=fX4;
755 Double_t d=fX2;
756 Double_t cy=c/2.;
757 return (1./rk - 2.*cy*ArgA(rk)/(1.+ 2.*cy*d));
758}
759
760
70a9314b 761Double_t AliITSTrackV1::GetPredChi2(Double_t m[2], Double_t sigma[2] ) const {
762//Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
763// This function calculates a predicted chi2 increment.
764/*
765 Double_t r00=c->GetSigmaY2(), r01=0., r11=c->GetSigmaZ2();
766 r00+=fC00; r01+=fC10; r11+=fC11;
767
768 Double_t det=r00*r11 - r01*r01;
769 if (TMath::Abs(det) < 1.e-10) {
770 Int_t n=GetNumberOfClusters();
771 if (n>4) cerr<<n<<" AliKalmanTrack warning: Singular matrix !\n";
772 return 1e10;
773 }
774 Double_t tmp=r00; r00=r11; r11=tmp; r01=-r01;
775
776 Double_t dy=c->GetY() - fP0, dz=c->GetZ() - fP1;
777
778 return (dy*r00*dy + 2*r01*dy*dz + dz*r11*dz)/det;
779 */
780
781
782 Double_t r00=sigma[0], r01=0., r11=sigma[1];
783 r00+=fC00; r01+=fC10; r11+=fC11;
784 Double_t det=r00*r11-r01*r01;
785 if(TMath::Abs(det) < 1.e-15) {cout<<" Problems on matrix in GetPredChi2 "<<det<<"\n";
786 return 1e10;}
787 Double_t tmp=r00; r00=r11; r11=tmp; r01=-r01;
788 Double_t dphi=m[0]-fX0;
789 Double_t dz=m[1]-fX1;
790 Double_t chi2 = (dphi*r00*dphi +2.*r01*dphi*dz + dz*r11*dz)/det;
791 return chi2;
792
793
794
aecdf013 795
70a9314b 796}