1 //The purpose of this class is to permorm the ITS tracking.
2 //The constructor has the task to inizialize some private members.
3 //The method DoTracking is written to be called by a macro. It gets the event number, the minimum and maximum
4 //order number of TPC tracks that are to be tracked trough the ITS, and the file where the recpoints are
6 //The method Recursivetracking is a recursive function that performs the tracking trough the ITS
7 //The method Intersection found the layer, ladder and detector whre the intersection take place and caluclate
8 //the cohordinates of this intersection. It returns an integer that is 0 if the intersection has been found
10 //The two mwthods Kalmanfilter and kalmanfiltervert operate the kalmanfilter without and with the vertex
11 //imposition respectively.
12 //The authors thank Mariana Bondila to have help them to resolve some problems. July-2000
21 #include "TParticle.h"
24 #include "AliITSsegmentationSSD.h"
25 #include "AliITSgeomSPD.h"
26 #include "AliITSgeomSDD.h"
27 #include "AliITSgeomSSD.h"
28 #include "AliITSgeom.h"
29 #include "AliITSRecPoint.h"
31 #include "AliKalmanTrack.h"
33 #include "AliITSTrackV1.h"
34 #include "AliITSIOTrack.h"
35 #include "AliITSRad.h"
36 #include "../TPC/AliTPCtracker.h"
37 #include "AliITSTrackerV1.h"
40 ClassImp(AliITSTrackerV1)
43 //________________________________________________________________
45 AliITSTrackerV1::AliITSTrackerV1(AliITS* IITTSS, Bool_t flag) {
46 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
47 // Class constructor. It does some initializations.
52 Int_t imax=200,jmax=450;
53 frl = new AliITSRad(imax,jmax);
57 AliITSTrackerV1::AliITSTrackerV1(const AliITSTrackerV1 &cobj) {
58 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
62 *fresult = *cobj.fresult;
64 //frecPoints = fITS->RecPoints();
65 //*frecPoints = *cobj.frecPoints;
66 **fvettid = **cobj.fvettid;
67 fflagvert = cobj.fflagvert;
68 Int_t imax=200,jmax=450;
69 frl = new AliITSRad(imax,jmax);
73 fNlad[i] = cobj.fNlad[i];
74 fNdet[i] = cobj.fNdet[i];
75 fAvrad[i] = cobj.fAvrad[i];
76 fDetx[i] = cobj.fDetx[i];
77 fDetz[i] = cobj.fDetz[i];
82 AliITSTrackerV1 &AliITSTrackerV1::operator=(AliITSTrackerV1 obj) {
83 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
84 // assignement operator
87 *fresult = *obj.fresult;
89 **fvettid = **obj.fvettid;
90 fflagvert = obj.fflagvert;
91 Int_t imax=200,jmax=450;
92 frl = new AliITSRad(imax,jmax);
96 fNlad[i] = obj.fNlad[i];
97 fNdet[i] = obj.fNdet[i];
98 fAvrad[i] = obj.fAvrad[i];
99 fDetx[i] = obj.fDetx[i];
100 fDetz[i] = obj.fDetz[i];
108 //________________________________________________________________
111 void AliITSTrackerV1::DoTracking(Int_t evNumber, Int_t minTr, Int_t maxTr, TFile *file) {
112 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
113 //The method needs the event number, the minimum and maximum order number of TPC tracks that
114 //are to be tracked trough the ITS, and the file where the recpoints are registered.
115 //The method can be called by a macro. It preforms the tracking for all good TPC tracks
118 printf("begin DoTracking - file %p\n",file);
120 /////////////////////////////////////// gets information on geometry ///////////////////////////////////
122 AliITSgeom *g1 = ((AliITS*)gAlice->GetDetector("ITS"))->GetITSgeom();
127 //cout<<" nlad ed ndet \n";
129 for(ia=0; ia<6; ia++) {
130 fNlad[ia]=g1->GetNladders(ia+1);
131 fNdet[ia]=g1->GetNdetectors(ia+1);
132 //cout<<fNlad[i]<<" "<<fNdet[i]<<"\n";
136 //cout<<" raggio medio = ";
138 for(ib=0; ib<6; ib++) {
139 g1->GetCenterThetaPhi(ib+1,ll,dd,det);
140 fAvrad[ib]=TMath::Sqrt(det(0)*det(0)+det(1)*det(1));
141 //cout<<fAvrad[ib]<<" ";
143 //cout<<"\n"; getchar();
145 fDetx[0] = ((AliITSgeomSPD*)(g1->GetShape(1, ll, dd)))->GetDx();
146 fDetz[0] = ((AliITSgeomSPD*)(g1->GetShape(1, ll, dd)))->GetDz();
148 fDetx[1] = ((AliITSgeomSPD*)(g1->GetShape(2, ll, dd)))->GetDx();
149 fDetz[1] = ((AliITSgeomSPD*)(g1->GetShape(2, ll, dd)))->GetDz();
151 fDetx[2] = ((AliITSgeomSDD*)(g1->GetShape(3, ll, dd)))->GetDx();
152 fDetz[2] = ((AliITSgeomSDD*)(g1->GetShape(3, ll, dd)))->GetDz();
154 fDetx[3] = ((AliITSgeomSDD*)(g1->GetShape(4, ll, dd)))->GetDx();
155 fDetz[3] = ((AliITSgeomSDD*)(g1->GetShape(4, ll, dd)))->GetDz();
157 fDetx[4] = ((AliITSgeomSSD*)(g1->GetShape(5, ll, dd)))->GetDx();
158 fDetz[4] = ((AliITSgeomSSD*)(g1->GetShape(5, ll, dd)))->GetDz();
160 fDetx[5] = ((AliITSgeomSSD*)(g1->GetShape(6, ll, dd)))->GetDx();
161 fDetz[5] = ((AliITSgeomSSD*)(g1->GetShape(6, ll, dd)))->GetDz();
163 //cout<<" Detx Detz\n";
164 //for(Int_t la=0; la<6; la++) cout<<" "<<fDetx[la]<<" "<<fDetz[la]<<"\n";
166 //////////////////////////////////////////////////////////////////////////////////////////////////////////
169 //Int_t imax=200,jmax=450;
170 //frl = new AliITSRad(imax,jmax);
171 //cout<<" dopo costruttore AliITSRad\n"; getchar();
175 Float_t px,py,pz,x,y,z,pxg,pyg,pzg,ptg;
182 AliKalmanTrack *kkprov;
183 kkprov->SetConvConst(100/0.299792458/0.2/gAlice->Field()->Factor());
186 TFile *cf=TFile::Open("AliTPCclusters.root");
187 AliTPCParam *digp= (AliTPCParam*)cf->Get("75x40_100x60");
188 if (!digp) { cerr<<"TPC parameters have not been found !\n"; getchar();}
190 AliTPCtracker *tracker = new AliTPCtracker(digp);
193 tracker->LoadInnerSectors();
194 tracker->LoadOuterSectors();
199 ifstream in("itsgood_tracks");
201 cerr<<"Reading itsgood tracks...\n";
202 while (in>>gt[ngood].lab>>gt[ngood].code
203 >>gt[ngood].px >>gt[ngood].py>>gt[ngood].pz
204 >>gt[ngood].x >>gt[ngood].y >>gt[ngood].z
205 >>gt[ngood].pxg >>gt[ngood].pyg >>gt[ngood].pzg
206 >>gt[ngood].ptg >>gt[ngood].flag) {
210 cerr<<"Too many good tracks !\n";
214 if (!in.eof()) cerr<<"Read error (itsgood_tracks) !\n";
218 TFile *tf=TFile::Open("AliTPCtracks.root");
219 if (!tf->IsOpen()) {cerr<<"Can't open AliTPCtracks.root !\n"; return ;}
220 TObjArray tracks(200000);
221 TTree *tracktree=(TTree*)tf->Get("TPCf");
222 if (!tracktree) {cerr<<"Can't get a tree with TPC tracks !\n";}
223 TBranch *tbranch=tracktree->GetBranch("tracks");
224 Int_t nentr=(Int_t)tracktree->GetEntries();
227 AliTPCtrack *ioTrackTPC=0;
228 for (kk=0; kk<nentr; kk++) {
229 ioTrackTPC=new AliTPCtrack;
230 tbranch->SetAddress(&ioTrackTPC);
231 tracktree->GetEvent(kk);
232 tracker->CookLabel(ioTrackTPC,0.1);
233 tracks.AddLast(ioTrackTPC);
239 Int_t nt = tracks.GetEntriesFast();
240 cerr<<"Number of found tracks "<<nt<<endl;
245 Double_t ptg=0.,pxg=0.,pyg=0.,pzg=0.;
247 ////////////////////////////// good tracks definition in TPC ////////////////////////////////
249 ofstream out1 ("AliITSTrag.out");
251 for (i=0; i<ngood; i++) out1 << gt[i].ptg << "\n";
256 TTree *tr=gAlice->TreeR();
257 Int_t nent=(Int_t)tr->GetEntries();
258 //TClonesArray *recPoints = RecPoints(); // nuova eliminata
259 //TClonesArray *recPoints = ITS->RecPoints(); // nuova
261 frecPoints = fITS->RecPoints(); // nuovissima tolta
265 Int_t *np = new Int_t[nent];
267 fvettid = new Int_t* [nent];
270 for (mod=0; mod<nent; mod++) {
272 fITS->ResetRecPoints(); // nuova
273 //gAlice->TreeR()->GetEvent(mod+1); //first entry in TreeR is empty
274 gAlice->TreeR()->GetEvent(mod); //first entry in TreeR is empty
275 numbpoints = frecPoints->GetEntries();
276 totalpoints+=numbpoints;
277 np[mod] = numbpoints;
278 //cout<<" mod = "<<mod<<" numbpoints = "<<numbpoints<<"\n"; getchar();
279 fvettid[mod] = new Int_t[numbpoints];
281 for (ii=0;ii<numbpoints; ii++) *(fvettid[mod]+ii)=0;
284 AliTPCtrack *track=0; // sono qui
287 if(minTr < 0) {minTr = 0; maxTr = nt-1;}
290 ///////////////////////////////// Definition of vertex end its error ////////////////////////////
291 ////////////////////////// In the future it will be given by a method ///////////////////////////
296 Float_t sigmavx=0.0050; // 50 microns
297 Float_t sigmavy=0.0050; // 50 microns
298 Float_t sigmavz=0.010; // 100 microns
300 //Vx+=gRandom->Gaus(0,sigmavx); Vy+=gRandom->Gaus(0,sigmavy); Vz+=gRandom->Gaus(0,sigmavz);
301 TVector vertex(3), ervertex(3)
302 vertex(0)=Vx; vertex(1)=Vy; vertex(2)=Vz;
303 ervertex(0)=sigmavx; ervertex(1)=sigmavy; ervertex(2)=sigmavz;
304 /////////////////////////////////////////////////////////////////////////////////////////////////
308 TTree tracktree1("TreeT","Tree with ITS tracks");
309 AliITSIOTrack *ioTrack=0;
310 tracktree1.Branch("ITStracks","AliITSIOTrack",&ioTrack,32000,0);
312 ofstream out ("AliITSTra.out");
316 for (j=minTr; j<=maxTr; j++) {
317 track=(AliTPCtrack*)tracks.UncheckedAt(j);
319 if (!track) continue;
320 ////// elimination of not good tracks ////////////
321 Int_t ilab=TMath::Abs(track->GetLabel());
323 for (iii=0;iii<ngood;iii++) {
324 //cout<<" ilab, gt[iii].lab = "<<ilab<<" "<<gt[iii].lab<<"\n"; getchar();
325 if (ilab==gt[iii].lab) {
334 //cout<<" j flaglab = " <<j<<" "<<flaglab<<"\n"; getchar();
335 if (!flaglab) continue;
336 //cout<<" j = " <<j<<"\n"; getchar();
338 ////// propagation to the end of TPC //////////////
340 track->PropagateTo(xk, 28.94, 1.204e-3); //Ne
342 track->PropagateTo(xk, 44.77, 1.71); //Tedlar
344 track->PropagateTo(xk, 44.86, 1.45); //kevlar
346 track->PropagateTo(xk, 41.28, 0.029); //Nomex
348 track->PropagateTo(xk,36.2,1.98e-3); //C02
350 track->PropagateTo(xk, 24.01, 2.7); //Al
352 track->PropagateTo(xk, 44.77, 1.71); //Tedlar
354 track->PropagateTo(xk, 44.86, 1.45); //kevlar
356 track->PropagateTo(xk, 41.28, 0.029); //Nomex
358 ///////////////////////////////////////////////////////////////
361 AliITSTrackV1 trackITS(*track);
363 if(fresult) delete fresult;
364 fresult = new AliITSTrackV1(trackITS);
366 AliITSTrackV1 primaryTrack(trackITS);
370 vgeant=(*fresult).GetVertex();
372 // Definition of dv and zv for vertex constraint
373 Double_t sigmaDv=0.0050; Double_t sigmaZv=0.010;
374 //Double_t sigmaDv=0.0015; Double_t sigmaZv=0.0015;
375 Double_t uniform= gRandom->Uniform();
377 if(uniform<=0.5) signdv=-1.;
381 Double_t vr=TMath::Sqrt(vgeant(0)*vgeant(0)+ vgeant(1)*vgeant(1));
382 Double_t dv=gRandom->Gaus(signdv*vr,(Float_t)sigmaDv);
383 Double_t zv=gRandom->Gaus(vgeant(2),(Float_t)sigmaZv);
385 //cout<<" Dv e Zv = "<<dv<<" "<<zv<<"\n";
386 trackITS.SetDv(dv); trackITS.SetZv(zv);
387 trackITS.SetsigmaDv(sigmaDv); trackITS.SetsigmaZv(sigmaZv);
388 (*fresult).SetDv(dv); (*fresult).SetZv(zv);
389 (*fresult).SetsigmaDv(sigmaDv); (*fresult).SetsigmaZv(sigmaZv);
390 primaryTrack.SetDv(dv); primaryTrack.SetZv(zv);
391 primaryTrack.SetsigmaDv(sigmaDv); primaryTrack.SetsigmaZv(sigmaZv);
393 primaryTrack.PrimaryTrack(frl);
394 TVector d2=primaryTrack.Getd2();
395 TVector tgl2=primaryTrack.Gettgl2();
396 TVector dtgl=primaryTrack.Getdtgl();
397 trackITS.Setd2(d2); trackITS.Settgl2(tgl2); trackITS.Setdtgl(dtgl);
398 (*fresult).Setd2(d2); (*fresult).Settgl2(tgl2); (*fresult).Setdtgl(dtgl);
400 trackITS.SetVertex(vertex); trackITS.SetErrorVertex(ervertex);
401 (*result).SetVertex(vertex); (*result).SetErrorVertex(ervertex);
405 TList *list= new TList();
407 list->AddLast(&trackITS);
409 fPtref=TMath::Abs( (trackITS).GetPt() );
410 //cout << "\n Pt = " << fPtref <<"\n"; //stampa
412 RecursiveTracking(list); // nuova ITS
417 TVector vecTotLabRef(18);
419 for(lay=5; lay>=0; lay--) {
420 TVector vecLabRef(3);
421 vecLabRef=(*fresult).GetLabTrack(lay);
422 Float_t clustZ=(*fresult).GetZclusterTrack( lay);
424 Int_t lpp=(Int_t)vecLabRef(k);
426 TParticle *p=(TParticle*) gAlice->Particle(lpp);
427 Int_t pcode=p->GetPdgCode();
428 if(pcode==11) vecLabRef(k)=p->GetFirstMother();
430 itot++; vecTotLabRef(itot)=vecLabRef(k);
431 if(vecLabRef(k)==0. && clustZ == 0.) vecTotLabRef(itot) =-3.; }
435 (*fresult).Search(vecTotLabRef, labref, freq);
438 //if(freq < 6) labref=-labref; // cinque - sei
439 if(freq < 5) labref=-labref; // cinque - sei
440 (*fresult).SetLabel(labref);
442 // cout<<" progressive track number = "<<j<<"\r";
444 Int_t numOfCluster=(*fresult).GetNumClust();
445 //cout<<" progressive track number = "<<j<<"\n"; // stampa
446 Long_t labITS=(*fresult).GetLabel();
447 //cout << " ITS track label = " << labITS << "\n"; // stampa
448 int lab=track->GetLabel();
449 //cout << " TPC track label = " << lab <<"\n"; // stampa
452 //propagation to vertex
456 (*fresult).Propagation(rbeam);
458 Double_t c00,c10,c11,c20,c21,c22,c30,c31,c32,c33,c40,c41,c42,c43,c44;
459 (*fresult).GetCElements(c00,c10,c11,c20,c21,c22,c30,c31,c32,c33,c40,c41,c42,c43,c44);
461 Double_t pt=TMath::Abs((*fresult).GetPt());
462 Double_t dr=(*fresult).GetD();
463 Double_t z=(*fresult).GetZ();
464 Double_t tgl=(*fresult).GetTgl();
465 Double_t c=(*fresult).GetC();
467 Double_t dz=z-(tgl/cy)*TMath::ASin((*fresult).Arga(rbeam));
470 // cout<<" dr e dz alla fine = "<<dr<<" "<<dz<<"\n"; getchar();
471 Double_t phi=(*fresult).Getphi();
472 Double_t phivertex = phi - TMath::ASin((*fresult).ArgA(rbeam));
473 Double_t duepi=2.*TMath::Pi();
474 if(phivertex>duepi) phivertex-=duepi;
475 if(phivertex<0.) phivertex+=duepi;
476 Double_t dtot=TMath::Sqrt(dr*dr+dz*dz);
478 //////////////////////////////////////////////////////////////////////////////////////////
480 Int_t idmodule,idpoint;
481 if(numOfCluster >=5) { // cinque - sei
482 //if(numOfCluster ==6) { // cinque - sei
485 AliITSIOTrack outTrack;
489 ioTrack->SetStatePhi(phi);
490 ioTrack->SetStateZ(z);
491 ioTrack->SetStateD(dr);
492 ioTrack->SetStateTgl(tgl);
493 ioTrack->SetStateC(c);
494 Double_t radius=(*fresult).Getrtrack();
495 ioTrack->SetRadius(radius);
497 if(c>0.) charge=-1; else charge=1;
498 ioTrack->SetCharge(charge);
502 ioTrack->SetCovMatrix(c00,c10,c11,c20,c21,c22,c30,c31,c32,c33,c40,c41,c42,c43,c44);
504 Double_t px=pt*TMath::Cos(phivertex);
505 Double_t py=pt*TMath::Sin(phivertex);
508 Double_t xtrack=dr*TMath::Sin(phivertex);
509 Double_t ytrack=dr*TMath::Cos(phivertex);
510 Double_t ztrack=dz+vgeant(2);
516 ioTrack->SetX(xtrack);
517 ioTrack->SetY(ytrack);
518 ioTrack->SetZ(ztrack);
519 ioTrack->SetLabel(labITS);
522 for(il=0;il<6; il++){
523 ioTrack->SetIdPoint(il,(*fresult).GetIdPoint(il));
524 ioTrack->SetIdModule(il,(*fresult).GetIdModule(il));
528 //cout<<" labITS = "<<labITS<<"\n";
529 //cout<<" phi z dr tgl c = "<<phi<<" "<<z<<" "<<dr<<" "<<tgl<<" "<<c<<"\n"; getchar();
531 dataOut(kkk) = ptg; kkk++; dataOut(kkk)=labITS; kkk++; dataOut(kkk)=lab; kkk++;
533 for (il=0;il<6;il++) {
534 idpoint=(*fresult).GetIdPoint(il);
535 idmodule=(*fresult).GetIdModule(il);
536 *(fvettid[idmodule]+idpoint)=1;
537 ioTrack->SetIdPoint(il,idpoint);
538 ioTrack->SetIdModule(il,idmodule);
541 // cout<<" +++++++++++++ pt e ptg = "<<pt<<" "<<ptg<<" ++++++++++\n";
543 ///////////////////////////////
544 Double_t difpt= (pt-ptg)/ptg*100.;
545 dataOut(kkk)=difpt; kkk++;
546 Double_t lambdag=TMath::ATan(pzg/ptg);
547 Double_t lam=TMath::ATan(tgl);
548 Double_t diflam = (lam - lambdag)*1000.;
549 dataOut(kkk) = diflam; kkk++;
550 Double_t phig=TMath::ATan2(pyg,pxg); if(phig<0) phig=2.*TMath::Pi()+phig;
551 Double_t phi=phivertex;
553 Double_t difphi = (phi - phig)*1000.;
554 dataOut(kkk)=difphi; kkk++;
555 dataOut(kkk)=dtot*1.e4; kkk++;
556 dataOut(kkk)=dr*1.e4; kkk++;
557 dataOut(kkk)=dz*1.e4; kkk++;
559 for (r=0; r<9; r++) { out<<dataOut(r)<<" ";}
564 } // end if on numOfCluster
565 //gObjectTable->Print(); // stampa memoria
566 } // end for (int j=minTr; j<=maxTr; j++)
571 static Bool_t first=kTRUE;
575 tfile=new TFile("itstracks.root","RECREATE");
576 //cout<<"I have opened itstracks.root file "<<endl;
583 sprintf(hname,"TreeT%d",evNumber);
585 tracktree1.Write(hname);
589 TTree *fAli=gAlice->TreeK();
592 if (fAli) fileAli =fAli->GetCurrentFile();
595 ////////////////////////////////////////////////////////////////////////////////////////////////
597 printf("delete vectors\n");
599 if(fvettid) delete [] fvettid;
600 if(fresult) delete fresult;
606 void AliITSTrackerV1::RecursiveTracking(TList *trackITSlist) {
608 /////////////////////// This function perform the recursive tracking in ITS detectors /////////////////////
609 /////////////////////// reference is a pointer to the final best track /////////////////////
610 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
611 // The authors thank Mariana Bondila to have help them to resolve some problems. July-2000
613 //Rlayer[0]=4.; Rlayer[1]=7.; Rlayer[2]=14.9; Rlayer[3]=23.8; Rlayer[4]=39.1; Rlayer[5]=43.6; //vecchio
616 for(index =0; index<trackITSlist->GetSize(); index++) {
617 AliITSTrackV1 *trackITS = (AliITSTrackV1 *) trackITSlist->At(index);
619 if((*trackITS).GetLayer()==7) fresult->SetChi2(10.223e140);
620 // cout <<" Layer inizio = "<<(*trackITS).GetLayer()<<"\n";
621 // cout<<"fvtrack =" <<"\n";
622 // cout << (*trackITS)(0) << " "<<(*trackITS)(1)<<" "<<(*trackITS)(2)<<" "<<(*trackITS)(3)<<" "<<(*trackITS)(4)<<"\n";
623 // cout<< " rtrack = "<<(*trackITS).Getrtrack()<<"\n";
624 // cout<< " Pt = "<<(*trackITS).GetPt()<<"\n";
626 Double_t chi2Now, chi2Ref;
627 if((*trackITS).GetLayer()==1 ) {
628 chi2Now = trackITS->GetChi2();
629 Float_t numClustNow = trackITS->GetNumClust();
630 if(trackITS->GetNumClust()) chi2Now /= (Double_t )trackITS->GetNumClust();
631 chi2Ref = fresult->GetChi2();
632 Float_t numClustRef = fresult->GetNumClust();
633 if(fresult->GetNumClust()) chi2Ref /= (Double_t )fresult->GetNumClust();
634 //cout<<" chi2Now and chi2Ref = "<<chi2Now<<" "<<chi2Ref<<"\n";
635 if( numClustNow > numClustRef ) {*fresult = *trackITS;}
636 if((numClustNow == numClustRef )&& (chi2Now < chi2Ref)) {*fresult = *trackITS;}
639 Float_t numClustNow = trackITS->GetNumClust();
641 chi2Now = trackITS->GetChi2();
642 chi2Now/=numClustNow;
643 //cout<<" chi2Now = "<<chi2Now<<"\n";
645 // if(Ptref > 0.6 && chi2Now > 20.) continue;
646 if(Ptref > 0.6 && chi2Now > 30.) continue;
647 if((Ptref <= 0.6 && Ptref>0.2)&& chi2Now > 15.) continue;
648 // if(chi2Now>5.) continue;
649 //if(chi2Now>15.) continue;
650 // if(Ptref <= 0.2 && chi2Now > 10.) continue;
651 if(Ptref <= 0.2 && chi2Now > 8.) continue;
653 if(fPtref > 1.0 && chi2Now > 30.) continue;
654 if((fPtref >= 0.6 && fPtref<=1.0) && chi2Now > 40.) continue;
655 if((fPtref <= 0.6 && fPtref>0.2)&& chi2Now > 40.) continue;
656 if(fPtref <= 0.2 && chi2Now > 8.) continue;
659 Int_t layerInit = (*trackITS).GetLayer();
660 Int_t layernew = layerInit - 2; // -1 for new layer, -1 for matrix index
662 //Int_t NLadder[]= {20, 40, 14, 22, 34, 38}; //vecchio
663 //Int_t NDetector[]= {4, 4, 6, 8, 23, 26}; //vecchio
666 Int_t ladp, ladm, detp,detm,ladinters,detinters;
667 Int_t layerfin=layerInit-1;
668 Double_t rFin=fAvrad[layerfin-1];
669 // cout<<"Prima di intersection \n";
671 Int_t outinters=Intersection(*trackITS, rFin, layerfin, ladinters, detinters);
673 // cout<<" outinters = "<<outinters<<"\n";
674 // cout<<" Layer ladder detector intersection ="<<layerfin<<" "<<ladinters<<" "<<detinters<<"\n";
675 // cout << " phiinters zinters = "<<(*trackITS)(0) << " "<<(*trackITS)(1)<<"\n"; getchar();
677 if(outinters==-1) continue;
681 TVector toucLad(9), toucDet(9);
682 Int_t lycur=layerfin;
685 if(ladm <= 0) ladm=fNlad[layerfin-1];
686 if(ladp > fNlad[layerfin-1]) ladp=1;
690 toucLad(0)=ladinters; toucLad(1)=ladm; toucLad(2)=ladp;
691 toucLad(3)=ladinters; toucLad(4)=ladm; toucLad(5)=ladp;
692 toucLad(6)=ladinters; toucLad(7)=ladm; toucLad(8)=ladp;
693 toucDet(0)=detinters; toucDet(1)=detinters; toucDet(2)=detinters;
694 if(detm > 0 && detp <= fNdet[layerfin-1]) {
696 toucDet(3)=detm; toucDet(4)=detm; toucDet(5)=detm;
697 toucDet(6)=detp; toucDet(7)=detp; toucDet(8)=detp;
700 if(detm > 0 && detp > fNdet[layerfin-1]) {
702 toucDet(3)=detm; toucDet(4)=detm; toucDet(5)=detm;
705 if(detm <= 0 && detp <= fNdet[layerfin-1]) {
707 toucDet(3)=detp; toucDet(4)=detp; toucDet(5)=detp;
710 for (iriv=0; iriv<idetot; iriv++) { //for on detectors
711 //AliITSgeom *g1 = aliITS->GetITSgeom(); //vvecchia
712 AliITSgeom *g1 = fITS->GetITSgeom(); //nnuova
714 g1->GetCenterThetaPhi(layerInit-1,(Int_t)toucLad(iriv),(Int_t)toucDet(iriv),ctf);
716 // cout<<" layer, ladder, det, xo, yo, zo = "<<layerInit-1<<" "<<(Int_t)toucLad(iriv)<<
717 // " "<<(Int_t)toucDet(iriv)<<" "<<ctf(0)<<" "<<ctf(1)<<" "<<ctf(2)<< " "<<ctf(6)<<"\n"; getchar();
719 ////////////////////////////////////////////////////////////////////////////////////////////////
721 /*** Rec points sorted by module *****/
722 /**************************************/
725 AliITSRecPoint *recp;
726 //AliITSgeom *geom = aliITS->GetITSgeom(); //vvecchia
727 AliITSgeom *geom = fITS->GetITSgeom(); //nnuova
728 index = geom->GetModuleIndex(lycur,toucLad(iriv),toucDet(iriv));
730 geom->GetModuleId(index,lay,lad,det);
731 //aliITS->ResetRecPoints(); //vvecchia
732 fITS->ResetRecPoints(); //nnuova
733 //gAlice->TreeR()->GetEvent(index+1); //first entry in TreeR is empty
734 gAlice->TreeR()->GetEvent(index); //first entry in TreeR is empty
736 Int_t npoints=frecPoints->GetEntries();
737 Int_t *indlist=new Int_t[npoints+1];
740 for (ind=0; ind<=npoints; ind++) {
742 if (*(fvettid[index]+ind)==0) {
743 indlist[counter]=ind;
752 if(indlist[ind] < 0) recp=0;
753 else recp = (AliITSRecPoint*)frecPoints->UncheckedAt(indlist[ind]);
756 TVector cluster(3),vecclust(9);
757 vecclust(6)=vecclust(7)=vecclust(8)=-1.;
759 // set veclust in global
760 Float_t global[3], local[3];
761 local[0]=recp->GetX();
763 local[2]= recp->GetZ();
764 //AliITSgeom *g1 = aliITS->GetITSgeom(); //vvecchia
765 AliITSgeom *g1 = fITS->GetITSgeom(); //nnuova
767 Int_t plad = TMath::Nint(toucLad(iriv));
768 Int_t pdet = TMath::Nint(toucDet(iriv));
769 g1->LtoG(play,plad,pdet,local,global);
771 vecclust(0)=global[0];
772 vecclust(1)=global[1];
773 vecclust(2)=global[2];
776 vecclust(3) = (float)recp->fTracks[0];
777 vecclust(4) = (float)indlist[ind];
778 vecclust(5) = (float)index;
779 vecclust(6) = (float)recp->fTracks[0];
780 vecclust(7) = (float)recp->fTracks[1];
781 vecclust(8) = (float)recp->fTracks[2];
783 sigma[0] = (Double_t) recp->GetSigmaX2();
784 sigma[1] = (Double_t) recp->GetSigmaZ2();
786 //now we are in r,phi,z in global
787 cluster(0) = TMath::Sqrt(vecclust(0)*vecclust(0)+vecclust(1)*vecclust(1));//r hit
788 // cluster(1) = PhiDef(vecclust(0),vecclust(1)); // phi hit //vecchio
789 cluster(1) = TMath::ATan2(vecclust(1),vecclust(0)); if(cluster(1)<0.) cluster(1)+=2.*TMath::Pi(); //nuovo
790 cluster(2) = vecclust(2); // z hit
792 // cout<<" layer = "<<play<<"\n";
793 // cout<<" cluster prima = "<<vecclust(0)<<" "<<vecclust(1)<<" "
794 // <<vecclust(2)<<"\n"; getchar();
795 //cluster(1)= cluster(1)-trackITS->Getalphaprov(); //provvisorio;
796 //if(cluster(1)<0.) cluster(1)+=2.*TMath::Pi(); //provvisorio
797 //cout<<" cluster(1) dopo = "<<cluster(1)<< " alphaprov = "<<trackITS->Getalphaprov()<<"\n";
798 Float_t sigmatotphi, sigmatotz;
800 //Float_t epsphi=3.2, epsz=3.;
801 Float_t epsphi=5.0, epsz=5.0;
802 if(fPtref<0.2) {epsphi=3.; epsz=3.;}
804 Double_t rTrack=(*trackITS).Getrtrack();
805 Double_t sigmaphi=sigma[0]/(rTrack*rTrack);
806 sigmatotphi=epsphi*TMath::Sqrt(sigmaphi + (*trackITS).GetSigmaphi());
808 sigmatotz=epsz*TMath::Sqrt(sigma[1] + (*trackITS).GetSigmaZ());
809 //cout<<"cluster e sigmatotphi e track = "<<cluster(0)<<" "<<cluster(1)<<" "<<sigmatotphi<<" "<<vecclust(3)<<"\n";
810 //if(vecclust(3)==481) getchar();
811 if(cluster(1)<6. && (*trackITS).Getphi()>6.) cluster(1)=cluster(1)+(2.*TMath::Pi());
812 if(cluster(1)>6. && (*trackITS).Getphi()<6.) cluster(1)=cluster(1)-(2.*TMath::Pi());
813 if(TMath::Abs(cluster(1)-(*trackITS).Getphi()) > sigmatotphi) continue;
814 // cout<<" supero sigmaphi \n";
815 AliITSTrackV1 *newTrack = new AliITSTrackV1((*trackITS));
816 (*newTrack).SetLayer((*trackITS).GetLayer()-1);
818 if (TMath::Abs(rTrack-cluster(0))/rTrack>1e-6)
819 (*newTrack).Correct(Double_t(cluster(0)));
820 //cout<<" cluster(2) e (*newTrack).GetZ() = "<<cluster(2)<<" "<< (*newTrack).GetZ()<<"\n";
821 if(TMath::Abs(cluster(2)-(*newTrack).GetZ()) > sigmatotz){
825 if(iriv == 0) flaghit=1;
827 (*newTrack).AddMS(frl); // add the multiple scattering matrix to the covariance matrix
828 (*newTrack).AddEL(frl,1.,0);
830 Double_t sigmanew[2];
831 sigmanew[0]= sigmaphi;
832 sigmanew[1]=sigma[1];
835 KalmanFilterVert(newTrack,cluster,sigmanew);
837 KalmanFilter(newTrack,cluster,sigmanew);
840 (*newTrack).PutCluster(layernew, vecclust);
841 newTrack->AddClustInTrack();
843 listoftrack.AddLast(newTrack);
845 } // end of for(;;) on rec points
849 } // end of for on detectors
851 }//end if(outinters==0)
853 if(flaghit==0 || outinters==-2) {
854 AliITSTrackV1 *newTrack = new AliITSTrackV1(*trackITS);
855 (*newTrack).SetLayer((*trackITS).GetLayer()-1);
856 (*newTrack).AddMS(frl); // add the multiple scattering matrix to the covariance matrix
857 (*newTrack).AddEL(frl,1.,0);
859 listoftrack.AddLast(newTrack);
863 //gObjectTable->Print(); // stampa memoria
865 RecursiveTracking(&listoftrack);
866 listoftrack.Delete();
867 } // end of for on tracks
869 //gObjectTable->Print(); // stampa memoria
873 Int_t AliITSTrackerV1::Intersection(AliITSTrackV1 &track, Double_t rk,Int_t layer, Int_t &ladder,
875 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
876 // Found the intersection and the detector
878 if(track.DoNotCross(rk)){ /*cout<< " Do not cross \n";*/ return -1;}
879 track.Propagation(rk);
880 Double_t zinters=track.GetZ();
881 Double_t phinters=track.Getphi();
882 //cout<<"zinters = "<<zinters<<" phinters = "<<phinters<<"\n";
884 ////////////////////////////////// limits for Geometry 5 /////////////////////////////
886 //Int_t NLadder[]= {20, 40, 14, 22, 34, 38};
887 //Int_t NDetector[]= {4, 4, 6, 8, 23, 26};
889 //Float_t Detx[]= {0.64, 0.64, 3.509, 3.509, 3.65, 3.65 };
890 //Float_t Detz[]= {4.19, 4.19, 3.75 , 3.75 , 2 , 2 };
892 ////////////////////////////////////////////////////////////////////////////////////////////////
896 TVector distZCenter(2);
897 AliITSgeom *g1 = ((AliITS*)gAlice->GetDetector("ITS"))->GetITSgeom();
901 Double_t epszpixel=0.05;
904 for(iD = 1; iD<= fNdet[layer-1]; iD++) {
905 g1->GetCenterThetaPhi(layer,1,iD,det);
906 Double_t zmin=det(2)-fDetz[layer-1];
907 if(iD==1) zmin=det(2)-(fDetz[layer-1])*epsz;
908 Double_t zmax=det(2)+fDetz[layer-1];
909 if(iD==fNdet[layer-1]) zmax=det(2)+(fDetz[layer-1])*epsz;
910 //added to take into account problem on drift
911 if(layer == 4 || layer==3) zmin=zmin-epszpixel; zmax=zmax+epszpixel;
912 //cout<<"zmin zinters zmax det(2)= "<<zmin<<" "<<zinters<<" "<<zmax<<" "<<det(2)<<"\n";
913 if(zinters > zmin && zinters <= zmax) {
914 if(iz>1) {cout<< " Errore su iz in Intersection \n"; getchar();}
916 listDet(iz)= iD; distZCenter(iz)=TMath::Abs(zinters-det(2)); iz++;
921 if(iz==0) {/* cout<< " No detector along Z \n";*/ return -2;}
922 detector=Int_t (listDet(0));
923 if(iz>1 && (distZCenter(0)>distZCenter(1))) detector=Int_t (listDet(1));
925 AliITSgeom *g2 = ((AliITS*)gAlice->GetDetector("ITS"))->GetITSgeom();
929 TVector distPhiCenter(2);
931 Double_t pigre=TMath::Pi();
934 for(iLd = 1; iLd<= fNlad[layer-1]; iLd++) {
935 g1->GetCenterThetaPhi(layer,iLd,detector,det);
936 // Double_t phidet=PhiDef(Double_t(det(0)),Double_t(det(1))); //vecchio
937 Double_t phidet= TMath::ATan2(Double_t(det(1)),Double_t(det(0))); if(phidet<0.) phidet+=2.*TMath::Pi(); //nuovo
938 // cout<<" layer phidet e det(6) = "<< layer<<" "<<phidet<<" "<<det(6)<<"\n"; getchar();
939 Double_t xmin,ymin,xmax,ymax;
940 // Double_t phiconfr=0.0;
941 //cout<<" phiconfr inizio = "<<phiconfr <<"\n"; getchar();
942 local[1]=local[2]=0.;
943 local[0]= -(fDetx[layer-1]);
944 if(layer==1) local[0]= (fDetx[layer-1]); //take into account different reference system
945 g2->LtoG(layer,iLd,detector,local,global);
946 xmax=global[0]; ymax=global[1];
947 local[0]= (fDetx[layer-1]);
948 if(layer==1) local[0]= -(fDetx[layer-1]); //take into account different reference system
949 g2->LtoG(layer,iLd,detector,local,global);
950 xmin=global[0]; ymin=global[1];
951 // Double_t phimin=PhiDef(xmin,ymin); //vecchio
952 Double_t phimin= TMath::ATan2(ymin,xmin); if(phimin<0.) phimin+=2.*TMath::Pi(); //nuovo
953 // Double_t phimax=PhiDef(xmax,ymax);
954 Double_t phimax= TMath::ATan2(ymax,xmax); if(phimax<0.) phimax+=2.*TMath::Pi(); //nuovo
955 //cout<<" xmin ymin = "<<xmin<<" "<<ymin<<"\n";
956 // cout<<" xmax ymax = "<<xmax<<" "<<ymax<<"\n";
957 // cout<<" iLd phimin phimax ="<<iLd<<" "<<phimin<<" "<<phimax<<"\n";
959 Double_t phiconfr=phinters;
961 if(phimin <5.5) {cout<<" Error in Intersection for phi \n"; getchar();}
962 phimin=phimin-(2.*pigre);
963 if(phinters>(1.5*pigre)) phiconfr=phinters-(2.*pigre);
964 if(phidet>(1.5*pigre)) phidet=phidet-(2.*pigre);
966 // cout<<" phiconfr finale = "<<phiconfr<<"\n"; getchar();
967 if(phiconfr>phimin && phiconfr<= phimax) {
969 cout<< " Errore su ip in Intersection \n"; getchar();
972 listLad(ip)= iLd; distPhiCenter(ip)=TMath::Abs(phiconfr-phidet); ip++;
976 if(ip==0) { cout<< " No detector along phi \n"; getchar();}
977 ladder=Int_t (listLad(0));
978 if(ip>1 && (distPhiCenter(0)>distPhiCenter(1))) ladder=Int_t (listLad(1));
984 void AliITSTrackerV1::KalmanFilter(AliITSTrackV1 *newTrack,TVector &cluster,Double_t sigma[2]){
985 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
986 // Kalman filter without vertex constraint
989 ////////////////////////////// Evaluation of the measurement vector /////////////////////////////////////
993 rk=cluster(0); phik=cluster(1); zk=cluster(2);
996 ///////////////////////////////////// Evaluation of the error matrix V ///////////////////////////////
998 Double_t v00=sigma[0];
999 Double_t v11=sigma[1];
1001 ///////////////////////////////////////////////////////////////////////////////////////////
1004 Double_t cin00,cin10,cin20,cin30,cin40,cin11,cin21,cin31,cin41,cin22,cin32,cin42,cin33,cin43,cin44;
1006 newTrack->GetCElements(cin00,cin10,cin11,cin20,cin21,cin22,cin30,cin31,cin32,cin33,cin40,
1007 cin41,cin42,cin43,cin44); //get C matrix
1009 Double_t rold00=cin00+v00;
1010 Double_t rold10=cin10;
1011 Double_t rold11=cin11+v11;
1013 //////////////////////////////////// R matrix inversion ///////////////////////////////////////////////
1015 Double_t det=rold00*rold11-rold10*rold10;
1016 Double_t r00=rold11/det;
1017 Double_t r10=-rold10/det;
1018 Double_t r11=rold00/det;
1020 ////////////////////////////////////////////////////////////////////////////////////////////////////////
1022 Double_t k00=cin00*r00+cin10*r10;
1023 Double_t k01=cin00*r10+cin10*r11;
1024 Double_t k10=cin10*r00+cin11*r10;
1025 Double_t k11=cin10*r10+cin11*r11;
1026 Double_t k20=cin20*r00+cin21*r10;
1027 Double_t k21=cin20*r10+cin21*r11;
1028 Double_t k30=cin30*r00+cin31*r10;
1029 Double_t k31=cin30*r10+cin31*r11;
1030 Double_t k40=cin40*r00+cin41*r10;
1031 Double_t k41=cin40*r10+cin41*r11;
1033 Double_t x0,x1,x2,x3,x4;
1034 newTrack->GetXElements(x0,x1,x2,x3,x4); // get the state vector
1036 Double_t savex0=x0, savex1=x1;
1038 x0+=k00*(m[0]-savex0)+k01*(m[1]-savex1);
1039 x1+=k10*(m[0]-savex0)+k11*(m[1]-savex1);
1040 x2+=k20*(m[0]-savex0)+k21*(m[1]-savex1);
1041 x3+=k30*(m[0]-savex0)+k31*(m[1]-savex1);
1042 x4+=k40*(m[0]-savex0)+k41*(m[1]-savex1);
1044 Double_t c00,c10,c20,c30,c40,c11,c21,c31,c41,c22,c32,c42,c33,c43,c44;
1046 c00=cin00-k00*cin00-k01*cin10;
1047 c10=cin10-k00*cin10-k01*cin11;
1048 c20=cin20-k00*cin20-k01*cin21;
1049 c30=cin30-k00*cin30-k01*cin31;
1050 c40=cin40-k00*cin40-k01*cin41;
1052 c11=cin11-k10*cin10-k11*cin11;
1053 c21=cin21-k10*cin20-k11*cin21;
1054 c31=cin31-k10*cin30-k11*cin31;
1055 c41=cin41-k10*cin40-k11*cin41;
1057 c22=cin22-k20*cin20-k21*cin21;
1058 c32=cin32-k20*cin30-k21*cin31;
1059 c42=cin42-k20*cin40-k21*cin41;
1061 c33=cin33-k30*cin30-k31*cin31;
1062 c43=cin43-k30*cin40-k31*cin41;
1064 c44=cin44-k40*cin40-k41*cin41;
1066 newTrack->PutXElements(x0,x1,x2,x3,x4); // put the new state vector
1068 newTrack->PutCElements(c00,c10,c11,c20,c21,c22,c30,c31,c32,c33,c40,c41,c42,c43,c44); // put in track the
1070 Double_t vmcold00=v00-c00;
1071 Double_t vmcold10=-c10;
1072 Double_t vmcold11=v11-c11;
1074 ///////////////////////////////////// Matrix vmc inversion ////////////////////////////////////////////////
1076 det=vmcold00*vmcold11-vmcold10*vmcold10;
1077 Double_t vmc00=vmcold11/det;
1078 Double_t vmc10=-vmcold10/det;
1079 Double_t vmc11=vmcold00/det;
1081 ////////////////////////////////////////////////////////////////////////////////////////////////////////////
1083 Double_t chi2=(m[0]-x0)*( vmc00*(m[0]-x0) + 2.*vmc10*(m[1]-x1) ) +
1084 (m[1]-x1)*vmc11*(m[1]-x1);
1086 newTrack->SetChi2(newTrack->GetChi2()+chi2);
1091 void AliITSTrackerV1::KalmanFilterVert(AliITSTrackV1 *newTrack,TVector &cluster,Double_t sigma[2]){
1092 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
1093 // Kalman filter with vertex constraint
1095 ////////////////////////////// Evaluation of the measurement vector m ///////////////
1098 Double_t rk,phik,zk;
1099 rk=cluster(0); phik=cluster(1); zk=cluster(2);
1102 Double_t cc=(*newTrack).GetC();
1103 Double_t zv=(*newTrack).GetZv();
1104 Double_t dv=(*newTrack).GetDv();
1106 Double_t tgl= (zk-zv)*cy/TMath::ASin(cy*rk);
1109 ///////////////////////////////////// Evaluation of the error matrix V //////////////
1110 Int_t layer=newTrack->GetLayer();
1111 Double_t v00=sigma[0];
1112 Double_t v11=sigma[1];
1113 Double_t v31=sigma[1]/rk;
1114 Double_t sigmaDv=newTrack->GetsigmaDv();
1115 Double_t v22=sigmaDv*sigmaDv + newTrack->Getd2(layer-1);
1116 Double_t v32=newTrack->Getdtgl(layer-1);
1117 Double_t sigmaZv=newTrack->GetsigmaZv();
1118 Double_t v33=(sigma[1]+sigmaZv*sigmaZv)/(rk*rk) + newTrack->Gettgl2(layer-1);
1119 ///////////////////////////////////////////////////////////////////////////////////////
1121 Double_t cin00,cin10,cin11,cin20,cin21,cin22,cin30,cin31,cin32,cin33,cin40,cin41,cin42,cin43,cin44;
1123 newTrack->GetCElements(cin00,cin10,cin11,cin20,cin21,cin22,cin30,cin31,cin32,cin33,cin40,
1124 cin41,cin42,cin43,cin44); //get C matrix
1133 r[3][1]=cin31+sigma[1]/rk;
1134 r[2][2]=cin22+sigmaDv*sigmaDv+newTrack->Getd2(layer-1);
1135 r[3][2]=cin32+newTrack->Getdtgl(layer-1);
1136 r[3][3]=cin33+(sigma[1]+sigmaZv*sigmaZv)/(rk*rk) + newTrack->Gettgl2(layer-1);
1138 r[0][1]=r[1][0]; r[0][2]=r[2][0]; r[0][3]=r[3][0]; r[1][2]=r[2][1]; r[1][3]=r[3][1];
1141 ///////////////////// Matrix R inversion ////////////////////////////////////////////
1146 Int_t ll[kn],mm[kn];
1150 for(k=0; k<kn; k++) {
1154 for(j=k; j<kn ; j++) {
1155 for (i=j; i<kn; i++) {
1156 if(TMath::Abs(big) < TMath::Abs(r[i][j]) ) { big=r[i][j]; ll[k]=i; mm[k]=j; }
1162 for(i=0; i<kn; i++) { hold=-r[k][i]; r[k][i]=r[j][i]; r[j][i]=hold; }
1168 for(j=0; j<kn; j++) { hold=-r[j][k]; r[j][k]=r[j][i]; r[j][i]=hold; }
1173 cout << "Singular matrix\n";
1175 for(i=0; i<kn; i++) {
1176 if(i == k) { continue; }
1177 r[i][k]=r[i][k]/(-big);
1180 for(i=0; i<kn; i++) {
1182 for(j=0; j<kn; j++) {
1183 if(i == k || j == k) { continue; }
1184 r[i][j]=hold*r[k][j]+r[i][j];
1188 for(j=0; j<kn; j++) {
1189 if(j == k) { continue; }
1190 r[k][j]=r[k][j]/big;
1198 for(k=kn-1; k>=0; k--) {
1201 for (j=0; j<kn; j++) {hold=r[j][k]; r[j][k]=-r[j][i]; r[j][i]=hold;}
1205 for (i=0; i<kn; i++) {hold=r[k][i]; r[k][i]=-r[j][i]; r[j][i]=hold;}
1208 //////////////////////////////////////////////////////////////////////////////////
1211 Double_t k00=cin00*r[0][0]+cin10*r[1][0]+cin20*r[2][0]+cin30*r[3][0];
1212 Double_t k01=cin00*r[1][0]+cin10*r[1][1]+cin20*r[2][1]+cin30*r[3][1];
1213 Double_t k02=cin00*r[2][0]+cin10*r[2][1]+cin20*r[2][2]+cin30*r[3][2];
1214 Double_t k03=cin00*r[3][0]+cin10*r[3][1]+cin20*r[3][2]+cin30*r[3][3];
1215 Double_t k10=cin10*r[0][0]+cin11*r[1][0]+cin21*r[2][0]+cin31*r[3][0];
1216 Double_t k11=cin10*r[1][0]+cin11*r[1][1]+cin21*r[2][1]+cin31*r[3][1];
1217 Double_t k12=cin10*r[2][0]+cin11*r[2][1]+cin21*r[2][2]+cin31*r[3][2];
1218 Double_t k13=cin10*r[3][0]+cin11*r[3][1]+cin21*r[3][2]+cin31*r[3][3];
1219 Double_t k20=cin20*r[0][0]+cin21*r[1][0]+cin22*r[2][0]+cin32*r[3][0];
1220 Double_t k21=cin20*r[1][0]+cin21*r[1][1]+cin22*r[2][1]+cin32*r[3][1];
1221 Double_t k22=cin20*r[2][0]+cin21*r[2][1]+cin22*r[2][2]+cin32*r[3][2];
1222 Double_t k23=cin20*r[3][0]+cin21*r[3][1]+cin22*r[3][2]+cin32*r[3][3];
1223 Double_t k30=cin30*r[0][0]+cin31*r[1][0]+cin32*r[2][0]+cin33*r[3][0];
1224 Double_t k31=cin30*r[1][0]+cin31*r[1][1]+cin32*r[2][1]+cin33*r[3][1];
1225 Double_t k32=cin30*r[2][0]+cin31*r[2][1]+cin32*r[2][2]+cin33*r[3][2];
1226 Double_t k33=cin30*r[3][0]+cin31*r[3][1]+cin32*r[3][2]+cin33*r[3][3];
1227 Double_t k40=cin40*r[0][0]+cin41*r[1][0]+cin42*r[2][0]+cin43*r[3][0];
1228 Double_t k41=cin40*r[1][0]+cin41*r[1][1]+cin42*r[2][1]+cin43*r[3][1];
1229 Double_t k42=cin40*r[2][0]+cin41*r[2][1]+cin42*r[2][2]+cin43*r[3][2];
1230 Double_t k43=cin40*r[3][0]+cin41*r[3][1]+cin42*r[3][2]+cin43*r[3][3];
1232 Double_t x0,x1,x2,x3,x4;
1233 newTrack->GetXElements(x0,x1,x2,x3,x4); // get the state vector
1235 Double_t savex0=x0, savex1=x1, savex2=x2, savex3=x3;
1237 x0+=k00*(m[0]-savex0)+k01*(m[1]-savex1)+k02*(m[2]-savex2)+
1239 x1+=k10*(m[0]-savex0)+k11*(m[1]-savex1)+k12*(m[2]-savex2)+
1241 x2+=k20*(m[0]-savex0)+k21*(m[1]-savex1)+k22*(m[2]-savex2)+
1243 x3+=k30*(m[0]-savex0)+k31*(m[1]-savex1)+k32*(m[2]-savex2)+
1245 x4+=k40*(m[0]-savex0)+k41*(m[1]-savex1)+k42*(m[2]-savex2)+
1248 Double_t c00,c10,c20,c30,c40,c11,c21,c31,c41,c22,c32,c42,c33,c43,c44;
1250 c00=cin00-k00*cin00-k01*cin10-k02*cin20-k03*cin30;
1251 c10=cin10-k00*cin10-k01*cin11-k02*cin21-k03*cin31;
1252 c20=cin20-k00*cin20-k01*cin21-k02*cin22-k03*cin32;
1253 c30=cin30-k00*cin30-k01*cin31-k02*cin32-k03*cin33;
1254 c40=cin40-k00*cin40-k01*cin41-k02*cin42-k03*cin43;
1256 c11=cin11-k10*cin10-k11*cin11-k12*cin21-k13*cin31;
1257 c21=cin21-k10*cin20-k11*cin21-k12*cin22-k13*cin32;
1258 c31=cin31-k10*cin30-k11*cin31-k12*cin32-k13*cin33;
1259 c41=cin41-k10*cin40-k11*cin41-k12*cin42-k13*cin43;
1261 c22=cin22-k20*cin20-k21*cin21-k22*cin22-k23*cin32;
1262 c32=cin32-k20*cin30-k21*cin31-k22*cin32-k23*cin33;
1263 c42=cin42-k20*cin40-k21*cin41-k22*cin42-k23*cin43;
1265 c33=cin33-k30*cin30-k31*cin31-k32*cin32-k33*cin33;
1266 c43=cin43-k30*cin40-k31*cin41-k32*cin42-k33*cin43;
1268 c44=cin44-k40*cin40-k41*cin41-k42*cin42-k43*cin43;
1270 newTrack->PutXElements(x0,x1,x2,x3,x4); // put the new state vector
1272 newTrack->PutCElements(c00,c10,c11,c20,c21,c22,c30,c31,c32,c33,c40,c41,c42,c43,c44); // put in track the
1277 vmc[0][0]=v00-c00; vmc[1][0]=-c10; vmc[2][0]=-c20; vmc[3][0]=-c30;
1278 vmc[1][1]=v11-c11; vmc[2][1]=-c21; vmc[3][1]=v31-c31;
1279 vmc[2][2]=v22-c22; vmc[3][2]=v32-c32;
1282 vmc[0][1]=vmc[1][0]; vmc[0][2]=vmc[2][0]; vmc[0][3]=vmc[3][0];
1283 vmc[1][2]=vmc[2][1]; vmc[1][3]=vmc[3][1];
1284 vmc[2][3]=vmc[3][2];
1287 /////////////////////// vmc matrix inversion ///////////////////////////////////
1291 for(k=0; k<kn; k++) {
1295 for(j=k; j<kn ; j++) {
1296 for (i=j; i<kn; i++) {
1297 if(TMath::Abs(big) < TMath::Abs(vmc[i][j]) ) { big=vmc[i][j]; ll[k]=i; mm[k]=j; }
1303 for(i=0; i<kn; i++) { hold=-vmc[k][i]; vmc[k][i]=vmc[j][i]; vmc[j][i]=hold; }
1309 for(j=0; j<kn; j++) { hold=-vmc[j][k]; vmc[j][k]=vmc[j][i]; vmc[j][i]=hold; }
1314 cout << "Singular matrix\n";
1316 for(i=0; i<kn; i++) {
1317 if(i == k) { continue; }
1318 vmc[i][k]=vmc[i][k]/(-big);
1321 for(i=0; i<kn; i++) {
1323 for(j=0; j<kn; j++) {
1324 if(i == k || j == k) { continue; }
1325 vmc[i][j]=hold*vmc[k][j]+vmc[i][j];
1329 for(j=0; j<kn; j++) {
1330 if(j == k) { continue; }
1331 vmc[k][j]=vmc[k][j]/big;
1339 for(k=kn-1; k>=0; k--) {
1342 for (j=0; j<kn; j++) {hold=vmc[j][k]; vmc[j][k]=-vmc[j][i]; vmc[j][i]=hold;}
1346 for (i=0; i<kn; i++) {hold=vmc[k][i]; vmc[k][i]=-vmc[j][i]; vmc[j][i]=hold;}
1351 ////////////////////////////////////////////////////////////////////////////////
1353 Double_t chi2=(m[0]-x0)*( vmc[0][0]*(m[0]-x0) + 2.*vmc[1][0]*(m[1]-x1) +
1354 2.*vmc[2][0]*(m[2]-x2)+ 2.*vmc[3][0]*(m[3]-x3) ) +
1355 (m[1]-x1)* ( vmc[1][1]*(m[1]-x1) + 2.*vmc[2][1]*(m[2]-x2)+
1356 2.*vmc[3][1]*(m[3]-x3) ) +
1357 (m[2]-x2)* ( vmc[2][2]*(m[2]-x2)+ 2.*vmc[3][2]*(m[3]-x3) ) +
1358 (m[3]-x3)*vmc[3][3]*(m[3]-x3);
1360 newTrack->SetChi2(newTrack->GetChi2()+chi2);