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
10 #include <TObjArray.h>
12 #include "AliITSRad.h"
13 #include "AliITSTrackV1.h"
14 #include "AliGenerator.h"
18 ClassImp(AliITSTrackV1)
20 AliITSTrackV1::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
25 fC00=fC10=fC11=fC20=fC21=fC22=fC30=fC31=fC32=fC33=fC40=fC41=fC42=fC43=fC44=0.;
26 flistCluster = new TObjArray;
31 fErrorVertex.ResizeTo(3);
33 fClusterInTrack = new TMatrix(6,9);
36 for(j=4; j<9; j++) (*fClusterInTrack)(i,j)=-1.;
43 fMass=0.13956995; //a pion by default
45 //////////////////////////////////////// gets magnetic field factor ////////////////////////////////
47 AliMagF * fieldPointer = gAlice->Field();
48 fFieldFactor = (Double_t)fieldPointer->Factor();
49 //cout<< " field factor = "<<fFieldFactor<<"\n"; getchar();
51 /////////////////////////////////////////////////////////////////////////////////////////////////////////
57 AliITSTrackV1::AliITSTrackV1(const AliITSTrackV1 &cobj) {
58 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
61 fClusterInTrack = new TMatrix(6,9);
63 //for(i=0; i<6; i++) (*fClusterInTrack)(i,6)=(*fClusterInTrack)(i,7)=
64 // (*fClusterInTrack)(i,8)=-1.;
66 for(j=4; j<9; j++) (*fClusterInTrack)(i,j)=-1.; //modificata angela
68 flistCluster = new TObjArray;
70 fErrorVertex.ResizeTo(3);
71 fVertex = cobj.fVertex;
72 fErrorVertex = cobj.fErrorVertex;
75 fTPCtrack = cobj.fTPCtrack;
76 fNumClustInTrack = cobj.fNumClustInTrack;
78 fX0=cobj.fX0; fX1=cobj.fX1; fX2=cobj.fX2; fX3=cobj.fX3; fX4=cobj.fX4;
82 fsigmaDv=cobj.fsigmaDv;
83 fsigmaZv=cobj.fsigmaZv;
90 fnoclust=cobj.fnoclust;
92 fC00=cobj.fC00; fC10=cobj.fC10; fC11=cobj.fC11; fC20=cobj.fC20; fC21=cobj.fC21;
93 fC22=cobj.fC22; fC30=cobj.fC30; fC31=cobj.fC31; fC32=cobj.fC32; fC33=cobj.fC33;
94 fC40=cobj.fC40; fC41=cobj.fC41; fC42=cobj.fC42; fC43=cobj.fC43; fC44=cobj.fC44;
96 *fClusterInTrack = *cobj.fClusterInTrack;
98 fFieldFactor=cobj.fFieldFactor;
101 for(i=0; i<cobj.flistCluster->GetSize(); i++)
102 flistCluster->AddLast(cobj.flistCluster->At(i));
106 AliITSTrackV1::AliITSTrackV1(AliTPCtrack &obj)
108 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
109 // special constructor to convert a TPC track into an ITS track
111 //////////////////////////////////////// gets magnetic field factor ////////////////////////////////
113 AliMagF * fieldPointer = gAlice->Field();
114 fFieldFactor = (Double_t)fieldPointer->Factor();
115 //cout<< " field factor = "<<fFieldFactor<<"\n"; getchar();
117 /////////////////////////////////////////////////////////////////////////////////////////////////////////
122 fErrorVertex.ResizeTo(3);
127 AliGenerator *gener = gAlice->Generator();
129 gener->GetOrigin(vxg,vyg,vzg);
132 fVertex(0)=(Double_t)vxg;
133 fVertex(1)=(Double_t)vyg;
134 fVertex(2)=(Double_t)vzg;
137 fClusterInTrack = new TMatrix(6,9);
141 for(j=4; j<9; j++) (*fClusterInTrack)(i,j)=-1.;
143 flistCluster = new TObjArray;
144 fNumClustInTrack = 0;
151 AliITSTrackV1::~AliITSTrackV1() {
152 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
156 flistCluster->Delete();
159 if(fClusterInTrack) delete fClusterInTrack;
163 void AliITSTrackV1::PutCElements(Double_t C00, Double_t C10, Double_t C11, Double_t C20, Double_t C21,
164 Double_t C22, Double_t C30, Double_t C31, Double_t C32, Double_t C33, Double_t C40,
165 Double_t C41, Double_t C42, Double_t C43, Double_t C44){
166 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
167 // puts elements of covariance matrix
169 fC00=C00; fC10=C10; fC11=C11; fC20=C20; fC21=C21; fC22=C22; fC30=C30; fC31=C31; fC32=C32; fC33=C33;
170 fC40=C40; fC41=C41; fC42=C42; fC43=C43; fC44=C44;
173 void AliITSTrackV1::GetCElements(Double_t &C00, Double_t &C10, Double_t &C11, Double_t &C20, Double_t &C21,
174 Double_t &C22, Double_t &C30, Double_t &C31, Double_t &C32, Double_t &C33, Double_t &C40,
175 Double_t &C41, Double_t &C42, Double_t &C43, Double_t &C44) const {
176 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
177 // gets elements of covariance matrix
180 C00=fC00; C10=fC10; C11=fC11; C20=fC20; C21=fC21; C22=fC22; C30=fC30; C31=fC31; C32=fC32; C33=fC33;
181 C40=fC40; C41=fC41; C42=fC42; C43=fC43; C44=fC44;
185 void AliITSTrackV1::GetXElements(Double_t &X0, Double_t &X1, Double_t &X2, Double_t &X3, Double_t &X4) const {
186 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
187 // gets the elements of the state vector
188 X0=fX0; X1=fX1; X2=fX2; X3=fX3; X4=fX4;
191 void AliITSTrackV1::PutXElements(Double_t X0, Double_t X1, Double_t X2, Double_t X3, Double_t X4){
192 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
193 // puts the elements of the state vector
194 fX0=X0; fX1=X1; fX2=X2; fX3=X3; fX4=X4;
197 void AliITSTrackV1::LmTPC() {
198 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
199 // Transform the TPC state vector from TPC-local to master and build a new state vector ITS-type
200 // The covariance matrix is also modified accordingly
203 Double_t alpha = fTPCtrack->GetAlpha();
205 //printf("LmTPC: alpha %f\n",alpha);
207 Double_t yTPC = fTPCtrack->GetY();
208 Double_t zTPC = fTPCtrack->GetZ();
209 Double_t cTPC = fTPCtrack->GetC();
210 Double_t etaTPC = fTPCtrack->GetEta();
211 Double_t tglTPC = fTPCtrack->GetTgl();
215 Double_t sina = TMath::Sin(alpha);
216 Double_t cosa = TMath::Cos(alpha);
217 Double_t xl= fTPCtrack->GetX();
218 xm = xl * cosa - yTPC*sina;
219 ym = xl * sina + yTPC*cosa;
221 //cout<<" xl e alpha = "<<xl<<" "<<alpha<<"\n"; getchar();
225 ///////////////////////////////////// determine yo //////////////////////////////////////////////////
227 Double_t vxl=fVertex(0)*cosa+fVertex(1)*sina;
228 Double_t vyl= -fVertex(0)*sina+fVertex(1)*cosa;
229 Double_t xo,yo, signy;
230 Double_t r = 1./cTPC;
232 Double_t yo1, yo2, diffsq1, diffsq2;
233 yo1 = yTPC + TMath::Sqrt(r*r - (xl-xo)*(xl-xo));
234 yo2 = yTPC - TMath::Sqrt(r*r - (xl-xo)*(xl-xo));
235 diffsq1=TMath::Abs((yo1-vyl)*(yo1-vyl)+(xo-vxl)*(xo-vxl)-r*r);
236 diffsq2=TMath::Abs((yo2-vyl)*(yo2- vyl)+(xo-vxl)*(xo-vxl)-r*r);
237 if(diffsq1<diffsq2) {yo=yo1; signy=1.;} else {yo=yo2; signy=-1.;};
239 ////////////////////////////////////////////////////////////////////////////////////////////////////
241 x0m = xo * cosa - yo * sina;
242 y0m = xo * sina + yo * cosa;
244 frtrack=TMath::Sqrt(xm*xm+ym*ym);
246 Double_t phi=TMath::ATan2(ym,xm); if(phi<0) phi=2.*TMath::Pi()+phi;
254 Double_t dd=TMath::Sqrt((x0m-fVertex(0))*(x0m-fVertex(0))+(y0m-fVertex(1))*(y0m-fVertex(1)));
256 if (r>0) signdd=1.; else signdd=-1.;
258 //cout<<" fvertex = "<<fVertex(0)<<" "<<fVertex(1)<<" "<<fVertex(2)<<"\n";
261 fTPCtrack->GetCovariance(cov);
263 Double_t dfidy, dDdy, dDdC, dDdeta;
265 dfidy=(xm*cosa+ym*sina)/(frtrack*frtrack);
266 dDdy=signdd*((y0m-fVertex(1))*cosa-(x0m-fVertex(0))*sina)/dd;
267 Double_t dyodr=signy*(r+(xl-xo)*etaTPC)/TMath::Sqrt(r*r-(xl-xo)*(xl-xo));
268 Double_t dyomdr=sina*etaTPC+cosa*dyodr;
269 Double_t dxomdr=cosa*etaTPC-sina*dyodr;
270 Double_t ddddR=((x0m-fVertex(0))*dxomdr+(y0m-fVertex(1))*dyomdr)/dd;
271 dDdC=-r*r*(signdd*ddddR-1.);
272 Double_t dyoldxol=signy*(xl-xo)/TMath::Sqrt(r*r-(xl-xo)*(xl-xo));
273 Double_t dxomdeta=r*(cosa-sina*dyoldxol);
274 Double_t dyomdeta=r*(sina+cosa*dyoldxol);
275 dDdeta=signdd*((x0m-fVertex(0))*dxomdeta+(y0m-fVertex(1))*dyomdeta)/dd;
282 Double_t t00=cov[0]*f00;
283 Double_t t02=cov[0]*f20+cov[6]*f22+cov[3]*f23;
284 Double_t t20=cov[6]*f00;
285 Double_t t22=cov[6]*f20+cov[9]*f22+cov[8]*f23;
290 fC20=f20*t00+f22*t20+f23*cov[3]*f00;
291 fC21=f20*cov[1]+f22*cov[7]+f23*cov[4];
292 fC22=f20*t02+f22*t22+f23*(cov[3]*f20+cov[8]*f22+cov[5]*f23);
295 fC32=cov[10]*f20+cov[13]*f22+cov[12]*f23;
307 AliITSTrackV1 &AliITSTrackV1::operator=(AliITSTrackV1 obj) {
308 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
309 // assignement operator
312 flistCluster->Delete();
315 delete fClusterInTrack;
316 fClusterInTrack = new TMatrix(6,9);
317 flistCluster = new TObjArray;
319 fTPCtrack = obj.fTPCtrack;
320 fNumClustInTrack = obj.fNumClustInTrack;
323 fErrorVertex=obj.fErrorVertex;
324 fX0=obj.fX0; fX1=obj.fX1; fX2=obj.fX2; fX3=obj.fX3; fX4=obj.fX4;
329 fsigmaDv=obj.fsigmaDv;
330 fsigmaZv=obj.fsigmaZv;
334 fnoclust=obj.fnoclust;
336 fC00=obj.fC00; fC10=obj.fC10; fC11=obj.fC11; fC20=obj.fC20; fC21=obj.fC21;
337 fC22=obj.fC22; fC30=obj.fC30; fC31=obj.fC31; fC32=obj.fC32; fC33=obj.fC33;
338 fC40=obj.fC40; fC41=obj.fC41; fC42=obj.fC42; fC43=obj.fC43; fC44=obj.fC44;
342 *fClusterInTrack = *obj.fClusterInTrack;
344 for(i=0; i<obj.flistCluster->GetSize(); i++) flistCluster->AddLast(obj.flistCluster->At(i));
350 void AliITSTrackV1::PutCluster(Int_t layerc, TVector vecclust) {
351 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
352 // put information for clusters
354 (*fClusterInTrack)(layerc,0) = vecclust(0);
355 (*fClusterInTrack)(layerc,1) = vecclust(1);
356 (*fClusterInTrack)(layerc,2) = vecclust(2);
357 (*fClusterInTrack)(layerc,3) = vecclust(3);
358 (*fClusterInTrack)(layerc,4) = vecclust(4);
359 (*fClusterInTrack)(layerc,5) = vecclust(5);
360 (*fClusterInTrack)(layerc,6) = vecclust(6);
361 (*fClusterInTrack)(layerc,7) = vecclust(7);
362 (*fClusterInTrack)(layerc,8) = vecclust(8);
367 void AliITSTrackV1::GetClusters() {
368 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
369 // prints the clusters belonging to the current track
371 TMatrix a(*fClusterInTrack);
375 b(i,0)=a(i,6); b(i,1)=a(i,7); b(i,2)=a(i,8);
383 TVector AliITSTrackV1::GetLabTrack(Int_t lay) {
384 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
385 // gets the label of the track
388 vecLabel(0)=( (Float_t) (*fClusterInTrack)(lay,6) );
389 vecLabel(1)=( (Float_t) (*fClusterInTrack)(lay,7) );
390 vecLabel(2)=( (Float_t) (*fClusterInTrack)(lay,8) );
394 void AliITSTrackV1::Search(TVector VecTotLabref, Long_t &labref, Int_t &freq){
395 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
401 for(i=0; i<18; i++) vecfreq[i]=0;
403 for(i=0; i<18; i++) {
404 for(j=0; j<18; j++) {
405 // if(VecTotLabref(i) == 0.) VecTotLabref(i)=-3.; //commentato il 5-3-2001
406 if( (VecTotLabref(i)>=0.) && (VecTotLabref(i)==VecTotLabref(j)) ) vecfreq[i]++;
410 Long_t labdefault= (Long_t)1000000.;
412 for(i=0; i<18; i++) {
413 if(vecfreq[i]>freq) {freq=vecfreq[i]; imax=i;}
415 if(imax<0) labref=labdefault; else labref=(Long_t) VecTotLabref(imax);
419 void AliITSTrackV1::Propagation(Double_t rk) {
420 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
421 //Propagation of track
422 Double_t duepi=2.*TMath::Pi();
423 Double_t rkm1=frtrack;
424 //cout<<" rk e rkm1 dentro Propagation "<<rk<<" "<<rkm1<<"\n";
427 Double_t aAk=ArgA(rk), aAkm1=ArgA(rkm1);
428 Double_t ak=Arga(rk), akm1=Arga(rkm1);
429 fX0+=TMath::ASin(aAk)-TMath::ASin(aAkm1);
431 if(fX0>duepi) fX0-=duepi;
432 if(fX0<0.) fX0+=duepi;
438 fX1+=tgl/cy*(TMath::ASin(ak)-TMath::ASin(akm1));
442 Double_t bk=ArgB(rk), bkm1=ArgB(rkm1);
443 Double_t ck=ArgC(rk), ckm1=ArgC(rkm1);
445 Double_t f02=ck/TMath::Sqrt(1.-aAk*aAk) - ckm1/TMath::Sqrt(1.-aAkm1*aAkm1);
446 Double_t f04=bk/TMath::Sqrt(1.-aAk*aAk) - bkm1/TMath::Sqrt(1.-aAkm1*aAkm1);
447 Double_t f12=tgl*d*(1./rk - 1./rkm1);
448 Double_t f13=rk - rkm1;
467 Double_t r10=c10+c21*f02+c41*f04;
468 Double_t r20=c20+c22*f02+c42*f04;
469 Double_t r30=c30+c32*f02+c43*f04;
470 Double_t r40=c40+c42*f02+c44*f04;
471 Double_t r21=c21+c22*f12+c32*f13;
472 Double_t r31=c31+c32*f12+c33*f13;
473 Double_t r41=c41+c42*f12+c43*f13;
475 fC00=c00+c20*f02+c40*f04+f02*r20+f04*r40;
476 fC10=r10+f12*r20+f13*r30;
477 fC11=c11+c21*f12+c31*f13+f12*r21+f13*r31;
487 void AliITSTrackV1::AddEL(AliITSRad *rl, Double_t signdE, Bool_t flagtot, Double_t mass) {
488 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
494 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;
495 //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;
496 //0.00277 is added in the first layer to take into account the energy loss in the beam pipe
498 //for(int k=0; k<6; k++) cout<<s(k)<<" "; cout<<"\n";
500 //for(k=0; k<6; k++) s(k)=s(k)*1.6; //forint
501 for(k=0; k<6; k++) s(k)=s(k)*1.7; //forint
505 if(phi<0.174 ) s(5)=s(5)+0.012;
506 if(phi>6.1 ) s(5)=s(5)+0.012; // to take into account rail
507 if(phi>2.96 && phi<3.31 ) s(5)=s(5)+0.012;
511 Double_t theta=((TMath::Pi())/2.)-TMath::ATan(tgl);
512 //phi*=180./TMath::Pi();
513 //theta*=180./TMath::Pi();
514 //Double_t rad90=(TMath::Pi())/2.;
515 Double_t rad40=(TMath::Pi())*40./180.;
516 Double_t rad100=(TMath::Pi())*100/180;
517 Double_t rad360=(TMath::Pi())*2.;
518 Int_t imax=rl->Getimax();
519 Int_t jmax=rl->Getjmax();
520 Int_t i=(Int_t) ( (theta-rad40)/rad100*imax);
521 Int_t j=(Int_t) ( phi/rad360*jmax );
522 //Int_t i=(Int_t)( ((theta-((TMath::Pi())/4.))/((TMath::Pi())/2.))*imax );
523 //Int_t j=(Int_t)( (phi/((TMath::Pi())*2.))*jmax );
525 if(i>=imax) i=imax-1;
527 if(j>=jmax) j=jmax-1;
529 s(0) = 0.0028/TMath::Sin(theta)+( rl->GetRadMatrix1() )(i,j); // 0.0028 takes into account the beam pipe
530 s(1) = ( rl->GetRadMatrix2() )(i,j);
531 s(2) = ( rl->GetRadMatrix3() )(i,j);
532 s(3) = ( rl->GetRadMatrix4() )(i,j);
533 s(4) = ( rl->GetRadMatrix5() )(i,j);
534 s(5) = ( rl->GetRadMatrix6() )(i,j);
539 //for(int k=0; k<6; k++) cout<<s(k)<<" "; getchar();
541 //if(phi>60) {cout<<" phi = "<<phi<<"\n"; getchar();}
542 //if(theta<45 || theta>135) {cout<<" theta = "<<theta<<"\n"; getchar();}
543 //cout<<" dentro AddEl: phi, theta = "<<phi<<" "<<theta<<"\n"; getchar();
545 Double_t cl=1.+fX3*fX3; // cl=1/(cosl)**2 = 1 + (tgl)**2
546 Double_t sqcl=TMath::Sqrt(cl);
549 Double_t p2=pt*pt*cl;
550 Double_t e=TMath::Sqrt(p2+mass*mass);
551 Double_t beta2=p2/(p2+mass*mass);
555 Double_t stot=s(0)+s(1)+s(2)+s(3)+s(4)+s(5);
556 dE=0.153/beta2*(log(5940*beta2/(1-beta2)) - beta2)*stot*21.82*sqcl;
558 dE=0.153/beta2*(log(5940*beta2/(1-beta2)) - beta2)*s(fLayer-1)*21.82*sqcl;
563 Double_t p=TMath::Sqrt(e*e-mass*mass);
565 if(fX4 < 0.) sign=-1.;
567 Double_t cc=(0.299792458*0.2*fFieldFactor)/(pt*100.);
572 void AliITSTrackV1::Correct(Double_t rk) {
573 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
574 // correct track to take into account real geometry detector
576 Double_t duepi=2.*TMath::Pi();
577 Double_t rkm1=frtrack;
578 Double_t aAk=ArgA(rk), aAkm1=ArgA(rkm1);
579 Double_t ak=Arga(rk), akm1=Arga(rkm1);
581 fX0+=TMath::ASin(aAk)-TMath::ASin(aAkm1);
582 if(fX0>duepi) fX0-=duepi;
583 if(fX0<0.) fX0+=duepi;
588 fX1+=tgl/cy*(TMath::ASin(ak)-TMath::ASin(akm1));
593 void AliITSTrackV1::AddMS(AliITSRad *rl, Double_t mass) {
594 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
595 ////////// Modification of the covariance matrix to take into account multiple scattering ///////////
601 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;
602 // 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;
603 //0.00277 is added in the first layer to take into account the energy loss in the beam pipe
606 //for(k=0; k<6; k++) s(k)=s(k)*1.6; // forint
607 for(k=0; k<6; k++) s(k)=s(k)*1.7; // forint
610 if(phi<0.174 ) s(5)=s(5)+0.012; //aggiunta provvisoria
611 if(phi>6.1 ) s(5)=s(5)+0.012; //aggiunta provvisoria
612 if(phi>2.96 && phi< 3.31) s(5)=s(5)+0.012; //aggiunta provvisoria
617 Double_t theta=((TMath::Pi())/2.)-TMath::ATan(tgl);
618 Double_t rad40=(TMath::Pi())*40./180.; // rivedere
619 Double_t rad100=(TMath::Pi())*100/180;
620 Double_t rad360=(TMath::Pi())*2.;
621 Int_t imax=rl->Getimax();
622 Int_t jmax=rl->Getjmax();
623 Int_t i=(Int_t) ( (theta-rad40)/rad100*imax);
624 Int_t j=(Int_t) ( phi/rad360*jmax);
627 if(i>=imax) i=imax-1;
629 if(j>=jmax) j=jmax-1;
631 s(0) = 0.0028/TMath::Sin(theta)+( rl->GetRadMatrix1() )(i,j); // 0.0028 takes into account the beam pipe
632 s(1) = ( rl->GetRadMatrix2() )(i,j);
633 s(2) = ( rl->GetRadMatrix3() )(i,j);
634 s(3) = ( rl->GetRadMatrix4() )(i,j);
635 s(4) = ( rl->GetRadMatrix5() )(i,j);
636 s(5) = ( rl->GetRadMatrix6() )(i,j);
638 //Double_t mass=0.1396;
639 Int_t layer=(Int_t)GetLayer();
641 Double_t cosl=TMath::Cos(TMath::ATan(tgl));
645 Double_t q20=1./(cosl*cosl);
648 Double_t q40=cy*(frtrack*frtrack-d*d)/(1.+ 2.*cy*d);
649 Double_t dd=d+cy*d*d-cy*frtrack*frtrack;
650 Double_t dprova=frtrack*frtrack - dd*dd;
652 if(dprova>0.) q41=-1./cosl*TMath::Sqrt(dprova)/(1.+ 2.*cy*d);
654 Double_t p2=(GetPt()*GetPt())/(cosl*cosl);
655 Double_t beta2=p2/(p2+mass*mass);
656 // Double_t theta2=14.1*14.1/(beta2*p2*1.e6)*(s(layer-1)/cosl);
657 Double_t theta2=14.1*14.1/(beta2*p2*1.e6)*(s(layer-1)/TMath::Abs(cosl));
659 fC22+=theta2*(q40*q40+q41*q41);
660 fC32+=theta2*q20*q40;
661 fC33+=theta2*q20*q20;
662 fC42+=theta2*q30*q40;
663 fC43+=theta2*q30*q20;
664 fC44+=theta2*q30*q30;
667 void AliITSTrackV1::PrimaryTrack(AliITSRad *rl) {
668 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
669 // calculation of part of covariance matrix for vertex constraint
673 rlayer[0]=4.; rlayer[1]=7.; rlayer[2]=14.9; rlayer[3]=23.8;
674 rlayer[4]=39.1; rlayer[5]=43.6;
677 Double_t tgl=(fX1-fZv)*cy/TMath::ASin(cy*frtrack);
684 fC00=fC10=fC11=fC20=fC21=fC22=fC30=fC31=fC32=fC33=fC40=fC41=fC42=fC43=0.;
689 for (i=0; i<6; i++) {
690 Propagation(rlayer[i]);
701 Int_t AliITSTrackV1::DoNotCross(Double_t rk) const{
702 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
703 // determine if the track cross a layer
708 return (TMath::Abs((cy*rk+(1.+cy*d)*d/rk)/(1.+2.*cy*d))>=1.)?1:0;
712 Double_t AliITSTrackV1::ArgA(Double_t rk) const {
713 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
714 // quantity usefull in Propagation
718 Double_t arg=(cy*rk + (1 + cy*d)*d/rk)/(1.+ 2.*cy*d);
719 if (TMath::Abs(arg) < 1.) return arg;
720 //cout<<"class AliITSTrack: ArgA out of range !\n";/* getchar();*/
721 return (arg>0) ? 0.99999999999 : -0.9999999999;
724 Double_t AliITSTrackV1::Arga(Double_t rk) const {
725 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
726 // quantity usefull in Propagation
730 Double_t arg=(rk*rk - d*d)/(1.+ 2.*cy*d);
731 if (arg<0.) {/*cout<<"class AliITSTrack: Arga out of range !\n";*/ arg=0.;}
732 return cy*TMath::Sqrt(arg);
735 Double_t AliITSTrackV1::ArgB(Double_t rk) const {
736 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
737 // quantity usefull in Propagation
741 return (rk*rk - d*d)/(rk*(1.+ 2.*cy*d)*(1.+ 2.*cy*d));
744 Double_t AliITSTrackV1::ArgC(Double_t rk) const {
745 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
746 // quantity usefull in Propagation
750 return (1./rk - 2.*cy*ArgA(rk)/(1.+ 2.*cy*d));
754 Double_t AliITSTrackV1::GetPredChi2(Double_t m[2], Double_t sigma[2] ) const {
755 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
756 // This function calculates a predicted chi2 increment.
758 Double_t r00=c->GetSigmaY2(), r01=0., r11=c->GetSigmaZ2();
759 r00+=fC00; r01+=fC10; r11+=fC11;
761 Double_t det=r00*r11 - r01*r01;
762 if (TMath::Abs(det) < 1.e-10) {
763 Int_t n=GetNumberOfClusters();
764 if (n>4) cerr<<n<<" AliKalmanTrack warning: Singular matrix !\n";
767 Double_t tmp=r00; r00=r11; r11=tmp; r01=-r01;
769 Double_t dy=c->GetY() - fP0, dz=c->GetZ() - fP1;
771 return (dy*r00*dy + 2*r01*dy*dz + dz*r11*dz)/det;
775 Double_t r00=sigma[0], r01=0., r11=sigma[1];
776 r00+=fC00; r01+=fC10; r11+=fC11;
777 Double_t det=r00*r11-r01*r01;
778 if(TMath::Abs(det) < 1.e-15) {cout<<" Problems on matrix in GetPredChi2 "<<det<<"\n";
780 Double_t tmp=r00; r00=r11; r11=tmp; r01=-r01;
781 Double_t dphi=m[0]-fX0;
782 Double_t dz=m[1]-fX1;
783 Double_t chi2 = (dphi*r00*dphi +2.*r01*dphi*dz + dz*r11*dz)/det;