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);
55 /////////////////////////////////////// gets information on geometry ///////////////////////////////////
57 AliITSgeom *g1 = ((AliITS*)gAlice->GetDetector("ITS"))->GetITSgeom();
62 //cout<<" nlad ed ndet \n";
64 for(ia=0; ia<6; ia++) {
65 fNlad[ia]=g1->GetNladders(ia+1);
66 fNdet[ia]=g1->GetNdetectors(ia+1);
67 //cout<<fNlad[i]<<" "<<fNdet[i]<<"\n";
71 //cout<<" raggio medio = ";
73 for(ib=0; ib<6; ib++) {
74 g1->GetCenterThetaPhi(ib+1,ll,dd,det);
75 fAvrad[ib]=TMath::Sqrt(det(0)*det(0)+det(1)*det(1));
76 //cout<<fAvrad[ib]<<" ";
78 //cout<<"\n"; getchar();
80 fDetx[0] = ((AliITSgeomSPD*)(g1->GetShape(1, ll, dd)))->GetDx();
81 fDetz[0] = ((AliITSgeomSPD*)(g1->GetShape(1, ll, dd)))->GetDz();
83 fDetx[1] = ((AliITSgeomSPD*)(g1->GetShape(2, ll, dd)))->GetDx();
84 fDetz[1] = ((AliITSgeomSPD*)(g1->GetShape(2, ll, dd)))->GetDz();
86 fDetx[2] = ((AliITSgeomSDD*)(g1->GetShape(3, ll, dd)))->GetDx();
87 fDetz[2] = ((AliITSgeomSDD*)(g1->GetShape(3, ll, dd)))->GetDz();
89 fDetx[3] = ((AliITSgeomSDD*)(g1->GetShape(4, ll, dd)))->GetDx();
90 fDetz[3] = ((AliITSgeomSDD*)(g1->GetShape(4, ll, dd)))->GetDz();
92 fDetx[4] = ((AliITSgeomSSD*)(g1->GetShape(5, ll, dd)))->GetDx();
93 fDetz[4] = ((AliITSgeomSSD*)(g1->GetShape(5, ll, dd)))->GetDz();
95 fDetx[5] = ((AliITSgeomSSD*)(g1->GetShape(6, ll, dd)))->GetDx();
96 fDetz[5] = ((AliITSgeomSSD*)(g1->GetShape(6, ll, dd)))->GetDz();
98 //cout<<" Detx Detz\n";
99 //for(Int_t la=0; la<6; la++) cout<<" "<<fDetx[la]<<" "<<fDetz[la]<<"\n";
101 //////////////////////////////////////////////////////////////////////////////////////////////////////////
103 //////////////////////////////////////// gets magnetic field factor ////////////////////////////////
105 AliMagF * fieldPointer = gAlice->Field();
106 fFieldFactor = (Double_t)fieldPointer->Factor();
107 //cout<< " field factor = "<<fFieldFactor<<"\n"; getchar();
109 /////////////////////////////////////////////////////////////////////////////////////////////////////////
113 AliITSTrackerV1::AliITSTrackerV1(const AliITSTrackerV1 &cobj) {
114 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
118 *fresult = *cobj.fresult;
119 fPtref = cobj.fPtref;
120 //frecPoints = fITS->RecPoints();
121 //*frecPoints = *cobj.frecPoints;
122 **fvettid = **cobj.fvettid;
123 fflagvert = cobj.fflagvert;
124 Int_t imax=200,jmax=450;
125 frl = new AliITSRad(imax,jmax);
127 fFieldFactor = cobj.fFieldFactor;
130 fNlad[i] = cobj.fNlad[i];
131 fNdet[i] = cobj.fNdet[i];
132 fAvrad[i] = cobj.fAvrad[i];
133 fDetx[i] = cobj.fDetx[i];
134 fDetz[i] = cobj.fDetz[i];
139 AliITSTrackerV1 &AliITSTrackerV1::operator=(AliITSTrackerV1 obj) {
140 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
141 // assignement operator
144 *fresult = *obj.fresult;
146 **fvettid = **obj.fvettid;
147 fflagvert = obj.fflagvert;
148 Int_t imax=200,jmax=450;
149 frl = new AliITSRad(imax,jmax);
151 fFieldFactor = obj.fFieldFactor;
154 fNlad[i] = obj.fNlad[i];
155 fNdet[i] = obj.fNdet[i];
156 fAvrad[i] = obj.fAvrad[i];
157 fDetx[i] = obj.fDetx[i];
158 fDetz[i] = obj.fDetz[i];
166 //________________________________________________________________
169 void AliITSTrackerV1::DoTracking(Int_t evNumber, Int_t minTr, Int_t maxTr, TFile *file) {
170 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
171 //The method needs the event number, the minimum and maximum order number of TPC tracks that
172 //are to be tracked trough the ITS, and the file where the recpoints are registered.
173 //The method can be called by a macro. It preforms the tracking for all good TPC tracks
176 printf("begin DoTracking - file %p\n",file);
180 Float_t px,py,pz,x,y,z,pxg,pyg,pzg,ptg;
187 AliKalmanTrack *kkprov;
188 kkprov->SetConvConst(100/0.299792458/0.2/fFieldFactor);
191 TFile *cf=TFile::Open("AliTPCclusters.root");
192 AliTPCParam *digp= (AliTPCParam*)cf->Get("75x40_100x60");
193 if (!digp) { cerr<<"TPC parameters have not been found !\n"; getchar();}
195 AliTPCtracker *tracker = new AliTPCtracker(digp);
198 tracker->LoadInnerSectors();
199 tracker->LoadOuterSectors();
204 ifstream in("itsgood_tracks");
206 cerr<<"Reading itsgood tracks...\n";
207 while (in>>gt[ngood].lab>>gt[ngood].code
208 >>gt[ngood].px >>gt[ngood].py>>gt[ngood].pz
209 >>gt[ngood].x >>gt[ngood].y >>gt[ngood].z
210 >>gt[ngood].pxg >>gt[ngood].pyg >>gt[ngood].pzg
211 >>gt[ngood].ptg >>gt[ngood].flag) {
215 cerr<<"Too many good tracks !\n";
219 if (!in.eof()) cerr<<"Read error (itsgood_tracks) !\n";
223 TFile *tf=TFile::Open("AliTPCtracks.root");
224 if (!tf->IsOpen()) {cerr<<"Can't open AliTPCtracks.root !\n"; return ;}
225 TObjArray tracks(200000);
226 TTree *tracktree=(TTree*)tf->Get("TPCf");
227 if (!tracktree) {cerr<<"Can't get a tree with TPC tracks !\n";}
228 TBranch *tbranch=tracktree->GetBranch("tracks");
229 Int_t nentr=(Int_t)tracktree->GetEntries();
232 AliTPCtrack *ioTrackTPC=0;
233 for (kk=0; kk<nentr; kk++) {
234 ioTrackTPC=new AliTPCtrack;
235 tbranch->SetAddress(&ioTrackTPC);
236 tracktree->GetEvent(kk);
237 tracker->CookLabel(ioTrackTPC,0.1);
238 tracks.AddLast(ioTrackTPC);
244 Int_t nt = tracks.GetEntriesFast();
245 cerr<<"Number of found tracks "<<nt<<endl;
250 Double_t ptg=0.,pxg=0.,pyg=0.,pzg=0.;
252 ////////////////////////////// good tracks definition in TPC ////////////////////////////////
254 ofstream out1 ("AliITSTrag.out");
256 for (i=0; i<ngood; i++) out1 << gt[i].ptg << "\n";
261 TTree *tr=gAlice->TreeR();
262 Int_t nent=(Int_t)tr->GetEntries();
263 //TClonesArray *recPoints = RecPoints(); // nuova eliminata
264 //TClonesArray *recPoints = ITS->RecPoints(); // nuova
266 frecPoints = fITS->RecPoints(); // nuovissima tolta
270 Int_t *np = new Int_t[nent];
272 fvettid = new Int_t* [nent];
275 for (mod=0; mod<nent; mod++) {
277 fITS->ResetRecPoints(); // nuova
278 //gAlice->TreeR()->GetEvent(mod+1); //first entry in TreeR is empty
279 gAlice->TreeR()->GetEvent(mod); //first entry in TreeR is empty
280 numbpoints = frecPoints->GetEntries();
281 totalpoints+=numbpoints;
282 np[mod] = numbpoints;
283 //cout<<" mod = "<<mod<<" numbpoints = "<<numbpoints<<"\n"; getchar();
284 fvettid[mod] = new Int_t[numbpoints];
286 for (ii=0;ii<numbpoints; ii++) *(fvettid[mod]+ii)=0;
289 AliTPCtrack *track=0; // sono qui
292 if(minTr < 0) {minTr = 0; maxTr = nt-1;}
295 ///////////////////////////////// Definition of vertex end its error ////////////////////////////
296 ////////////////////////// In the future it will be given by a method ///////////////////////////
301 Float_t sigmavx=0.0050; // 50 microns
302 Float_t sigmavy=0.0050; // 50 microns
303 Float_t sigmavz=0.010; // 100 microns
305 //Vx+=gRandom->Gaus(0,sigmavx); Vy+=gRandom->Gaus(0,sigmavy); Vz+=gRandom->Gaus(0,sigmavz);
306 TVector vertex(3), ervertex(3)
307 vertex(0)=Vx; vertex(1)=Vy; vertex(2)=Vz;
308 ervertex(0)=sigmavx; ervertex(1)=sigmavy; ervertex(2)=sigmavz;
309 /////////////////////////////////////////////////////////////////////////////////////////////////
313 TTree tracktree1("TreeT","Tree with ITS tracks");
314 AliITSIOTrack *ioTrack=0;
315 tracktree1.Branch("ITStracks","AliITSIOTrack",&ioTrack,32000,0);
317 ofstream out ("AliITSTra.out");
321 for (j=minTr; j<=maxTr; j++) {
322 track=(AliTPCtrack*)tracks.UncheckedAt(j);
324 if (!track) continue;
325 ////// elimination of not good tracks ////////////
326 Int_t ilab=TMath::Abs(track->GetLabel());
328 for (iii=0;iii<ngood;iii++) {
329 //cout<<" ilab, gt[iii].lab = "<<ilab<<" "<<gt[iii].lab<<"\n"; getchar();
330 if (ilab==gt[iii].lab) {
339 //cout<<" j flaglab = " <<j<<" "<<flaglab<<"\n"; getchar();
340 if (!flaglab) continue;
341 //cout<<" j = " <<j<<"\n"; getchar();
343 ////// propagation to the end of TPC //////////////
345 track->PropagateTo(xk, 28.94, 1.204e-3); //Ne
347 track->PropagateTo(xk, 44.77, 1.71); //Tedlar
349 track->PropagateTo(xk, 44.86, 1.45); //kevlar
351 track->PropagateTo(xk, 41.28, 0.029); //Nomex
353 track->PropagateTo(xk,36.2,1.98e-3); //C02
355 track->PropagateTo(xk, 24.01, 2.7); //Al
357 track->PropagateTo(xk, 44.77, 1.71); //Tedlar
359 track->PropagateTo(xk, 44.86, 1.45); //kevlar
361 track->PropagateTo(xk, 41.28, 0.029); //Nomex
363 ///////////////////////////////////////////////////////////////
366 AliITSTrackV1 trackITS(*track);
368 if(fresult) delete fresult;
369 fresult = new AliITSTrackV1(trackITS);
371 AliITSTrackV1 primaryTrack(trackITS);
375 vgeant=(*fresult).GetVertex();
377 // Definition of dv and zv for vertex constraint
378 Double_t sigmaDv=0.0050; Double_t sigmaZv=0.010;
379 //Double_t sigmaDv=0.0015; Double_t sigmaZv=0.0015;
380 Double_t uniform= gRandom->Uniform();
382 if(uniform<=0.5) signdv=-1.;
386 Double_t vr=TMath::Sqrt(vgeant(0)*vgeant(0)+ vgeant(1)*vgeant(1));
387 Double_t dv=gRandom->Gaus(signdv*vr,(Float_t)sigmaDv);
388 Double_t zv=gRandom->Gaus(vgeant(2),(Float_t)sigmaZv);
390 //cout<<" Dv e Zv = "<<dv<<" "<<zv<<"\n";
391 trackITS.SetDv(dv); trackITS.SetZv(zv);
392 trackITS.SetsigmaDv(sigmaDv); trackITS.SetsigmaZv(sigmaZv);
393 (*fresult).SetDv(dv); (*fresult).SetZv(zv);
394 (*fresult).SetsigmaDv(sigmaDv); (*fresult).SetsigmaZv(sigmaZv);
395 primaryTrack.SetDv(dv); primaryTrack.SetZv(zv);
396 primaryTrack.SetsigmaDv(sigmaDv); primaryTrack.SetsigmaZv(sigmaZv);
398 primaryTrack.PrimaryTrack(frl);
399 TVector d2=primaryTrack.Getd2();
400 TVector tgl2=primaryTrack.Gettgl2();
401 TVector dtgl=primaryTrack.Getdtgl();
402 trackITS.Setd2(d2); trackITS.Settgl2(tgl2); trackITS.Setdtgl(dtgl);
403 (*fresult).Setd2(d2); (*fresult).Settgl2(tgl2); (*fresult).Setdtgl(dtgl);
405 trackITS.SetVertex(vertex); trackITS.SetErrorVertex(ervertex);
406 (*result).SetVertex(vertex); (*result).SetErrorVertex(ervertex);
410 TList *list= new TList();
412 list->AddLast(&trackITS);
414 fPtref=TMath::Abs( (trackITS).GetPt() );
415 cout << "\n Pt = " << fPtref <<"\n"; //stampa
417 RecursiveTracking(list); // nuova ITS
422 TVector vecTotLabRef(18);
424 for(lay=5; lay>=0; lay--) {
425 TVector vecLabRef(3);
426 vecLabRef=(*fresult).GetLabTrack(lay);
427 Float_t clustZ=(*fresult).GetZclusterTrack( lay);
429 Int_t lpp=(Int_t)vecLabRef(k);
431 TParticle *p=(TParticle*) gAlice->Particle(lpp);
432 Int_t pcode=p->GetPdgCode();
433 if(pcode==11) vecLabRef(k)=p->GetFirstMother();
435 itot++; vecTotLabRef(itot)=vecLabRef(k);
436 if(vecLabRef(k)==0. && clustZ == 0.) vecTotLabRef(itot) =-3.; }
440 (*fresult).Search(vecTotLabRef, labref, freq);
443 //if(freq < 6) labref=-labref; // cinque - sei
444 if(freq < 5) labref=-labref; // cinque - sei
445 (*fresult).SetLabel(labref);
447 // cout<<" progressive track number = "<<j<<"\r";
449 Int_t numOfCluster=(*fresult).GetNumClust();
450 cout<<" progressive track number = "<<j<<"\n"; // stampa
451 Long_t labITS=(*fresult).GetLabel();
452 cout << " ITS track label = " << labITS << "\n"; // stampa
453 int lab=track->GetLabel();
454 cout << " TPC track label = " << lab <<"\n"; // stampa
457 //propagation to vertex
461 (*fresult).Propagation(rbeam);
463 Double_t c00,c10,c11,c20,c21,c22,c30,c31,c32,c33,c40,c41,c42,c43,c44;
464 (*fresult).GetCElements(c00,c10,c11,c20,c21,c22,c30,c31,c32,c33,c40,c41,c42,c43,c44);
466 Double_t pt=TMath::Abs((*fresult).GetPt());
467 Double_t dr=(*fresult).GetD();
468 Double_t z=(*fresult).GetZ();
469 Double_t tgl=(*fresult).GetTgl();
470 Double_t c=(*fresult).GetC();
472 Double_t dz=z-(tgl/cy)*TMath::ASin((*fresult).Arga(rbeam));
475 // cout<<" dr e dz alla fine = "<<dr<<" "<<dz<<"\n"; getchar();
476 Double_t phi=(*fresult).Getphi();
477 Double_t phivertex = phi - TMath::ASin((*fresult).ArgA(rbeam));
478 Double_t duepi=2.*TMath::Pi();
479 if(phivertex>duepi) phivertex-=duepi;
480 if(phivertex<0.) phivertex+=duepi;
481 Double_t dtot=TMath::Sqrt(dr*dr+dz*dz);
483 //////////////////////////////////////////////////////////////////////////////////////////
485 Int_t idmodule,idpoint;
486 if(numOfCluster >=5) { // cinque - sei
487 //if(numOfCluster ==6) { // cinque - sei
490 AliITSIOTrack outTrack;
494 ioTrack->SetStatePhi(phi);
495 ioTrack->SetStateZ(z);
496 ioTrack->SetStateD(dr);
497 ioTrack->SetStateTgl(tgl);
498 ioTrack->SetStateC(c);
499 Double_t radius=(*fresult).Getrtrack();
500 ioTrack->SetRadius(radius);
502 if(c>0.) charge=-1; else charge=1;
503 ioTrack->SetCharge(charge);
507 ioTrack->SetCovMatrix(c00,c10,c11,c20,c21,c22,c30,c31,c32,c33,c40,c41,c42,c43,c44);
509 Double_t px=pt*TMath::Cos(phivertex);
510 Double_t py=pt*TMath::Sin(phivertex);
513 Double_t xtrack=dr*TMath::Sin(phivertex);
514 Double_t ytrack=dr*TMath::Cos(phivertex);
515 Double_t ztrack=dz+vgeant(2);
521 ioTrack->SetX(xtrack);
522 ioTrack->SetY(ytrack);
523 ioTrack->SetZ(ztrack);
524 ioTrack->SetLabel(labITS);
527 for(il=0;il<6; il++){
528 ioTrack->SetIdPoint(il,(*fresult).GetIdPoint(il));
529 ioTrack->SetIdModule(il,(*fresult).GetIdModule(il));
533 //cout<<" labITS = "<<labITS<<"\n";
534 //cout<<" phi z dr tgl c = "<<phi<<" "<<z<<" "<<dr<<" "<<tgl<<" "<<c<<"\n"; getchar();
536 dataOut(kkk) = ptg; kkk++; dataOut(kkk)=labITS; kkk++; dataOut(kkk)=lab; kkk++;
538 for (il=0;il<6;il++) {
539 idpoint=(*fresult).GetIdPoint(il);
540 idmodule=(*fresult).GetIdModule(il);
541 *(fvettid[idmodule]+idpoint)=1;
542 ioTrack->SetIdPoint(il,idpoint);
543 ioTrack->SetIdModule(il,idmodule);
546 // cout<<" +++++++++++++ pt e ptg = "<<pt<<" "<<ptg<<" ++++++++++\n";
548 ///////////////////////////////
549 Double_t difpt= (pt-ptg)/ptg*100.;
550 dataOut(kkk)=difpt; kkk++;
551 Double_t lambdag=TMath::ATan(pzg/ptg);
552 Double_t lam=TMath::ATan(tgl);
553 Double_t diflam = (lam - lambdag)*1000.;
554 dataOut(kkk) = diflam; kkk++;
555 Double_t phig=TMath::ATan2(pyg,pxg); if(phig<0) phig=2.*TMath::Pi()+phig;
556 Double_t phi=phivertex;
558 Double_t difphi = (phi - phig)*1000.;
559 dataOut(kkk)=difphi; kkk++;
560 dataOut(kkk)=dtot*1.e4; kkk++;
561 dataOut(kkk)=dr*1.e4; kkk++;
562 dataOut(kkk)=dz*1.e4; kkk++;
564 for (r=0; r<9; r++) { out<<dataOut(r)<<" ";}
569 } // end if on numOfCluster
570 //gObjectTable->Print(); // stampa memoria
571 } // end for (int j=minTr; j<=maxTr; j++)
576 static Bool_t first=kTRUE;
580 tfile=new TFile("itstracks.root","RECREATE");
581 //cout<<"I have opened itstracks.root file "<<endl;
588 sprintf(hname,"TreeT%d",evNumber);
590 tracktree1.Write(hname);
594 TTree *fAli=gAlice->TreeK();
597 if (fAli) fileAli =fAli->GetCurrentFile();
600 ////////////////////////////////////////////////////////////////////////////////////////////////
602 printf("delete vectors\n");
604 if(fvettid) delete [] fvettid;
605 if(fresult) delete fresult;
611 void AliITSTrackerV1::RecursiveTracking(TList *trackITSlist) {
613 /////////////////////// This function perform the recursive tracking in ITS detectors /////////////////////
614 /////////////////////// reference is a pointer to the final best track /////////////////////
615 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
616 // The authors thank Mariana Bondila to have help them to resolve some problems. July-2000
618 //Rlayer[0]=4.; Rlayer[1]=7.; Rlayer[2]=14.9; Rlayer[3]=23.8; Rlayer[4]=39.1; Rlayer[5]=43.6; //vecchio
621 for(index =0; index<trackITSlist->GetSize(); index++) {
622 AliITSTrackV1 *trackITS = (AliITSTrackV1 *) trackITSlist->At(index);
624 if((*trackITS).GetLayer()==7) fresult->SetChi2(10.223e140);
625 // cout <<" Layer inizio = "<<(*trackITS).GetLayer()<<"\n";
626 // cout<<"fvtrack =" <<"\n";
627 // cout << (*trackITS)(0) << " "<<(*trackITS)(1)<<" "<<(*trackITS)(2)<<" "<<(*trackITS)(3)<<" "<<(*trackITS)(4)<<"\n";
628 // cout<< " rtrack = "<<(*trackITS).Getrtrack()<<"\n";
629 // cout<< " Pt = "<<(*trackITS).GetPt()<<"\n";
631 Double_t chi2Now, chi2Ref;
632 if((*trackITS).GetLayer()==1 ) {
633 chi2Now = trackITS->GetChi2();
634 Float_t numClustNow = trackITS->GetNumClust();
635 if(trackITS->GetNumClust()) chi2Now /= (Double_t )trackITS->GetNumClust();
636 chi2Ref = fresult->GetChi2();
637 Float_t numClustRef = fresult->GetNumClust();
638 if(fresult->GetNumClust()) chi2Ref /= (Double_t )fresult->GetNumClust();
639 //cout<<" chi2Now and chi2Ref = "<<chi2Now<<" "<<chi2Ref<<"\n";
640 if( numClustNow > numClustRef ) {*fresult = *trackITS;}
641 if((numClustNow == numClustRef )&& (chi2Now < chi2Ref)) {*fresult = *trackITS;}
644 Float_t numClustNow = trackITS->GetNumClust();
646 chi2Now = trackITS->GetChi2();
647 chi2Now/=numClustNow;
648 //cout<<" chi2Now = "<<chi2Now<<"\n";
650 // if(Ptref > 0.6 && chi2Now > 20.) continue;
651 if(Ptref > 0.6 && chi2Now > 30.) continue;
652 if((Ptref <= 0.6 && Ptref>0.2)&& chi2Now > 15.) continue;
653 // if(chi2Now>5.) continue;
654 //if(chi2Now>15.) continue;
655 // if(Ptref <= 0.2 && chi2Now > 10.) continue;
656 if(Ptref <= 0.2 && chi2Now > 8.) continue;
658 if(fPtref > 1.0 && chi2Now > 30.) continue;
659 if((fPtref >= 0.6 && fPtref<=1.0) && chi2Now > 40.) continue;
660 if((fPtref <= 0.6 && fPtref>0.2)&& chi2Now > 40.) continue;
661 if(fPtref <= 0.2 && chi2Now > 8.) continue;
664 Int_t layerInit = (*trackITS).GetLayer();
665 Int_t layernew = layerInit - 2; // -1 for new layer, -1 for matrix index
667 //Int_t NLadder[]= {20, 40, 14, 22, 34, 38}; //vecchio
668 //Int_t NDetector[]= {4, 4, 6, 8, 23, 26}; //vecchio
671 Int_t ladp, ladm, detp,detm,ladinters,detinters;
672 Int_t layerfin=layerInit-1;
673 Double_t rFin=fAvrad[layerfin-1];
674 // cout<<"Prima di intersection \n";
676 Int_t outinters=Intersection(*trackITS, rFin, layerfin, ladinters, detinters);
678 // cout<<" outinters = "<<outinters<<"\n";
679 // cout<<" Layer ladder detector intersection ="<<layerfin<<" "<<ladinters<<" "<<detinters<<"\n";
680 // cout << " phiinters zinters = "<<(*trackITS)(0) << " "<<(*trackITS)(1)<<"\n"; getchar();
682 if(outinters==-1) continue;
686 TVector toucLad(9), toucDet(9);
687 Int_t lycur=layerfin;
690 if(ladm <= 0) ladm=fNlad[layerfin-1];
691 if(ladp > fNlad[layerfin-1]) ladp=1;
695 toucLad(0)=ladinters; toucLad(1)=ladm; toucLad(2)=ladp;
696 toucLad(3)=ladinters; toucLad(4)=ladm; toucLad(5)=ladp;
697 toucLad(6)=ladinters; toucLad(7)=ladm; toucLad(8)=ladp;
698 toucDet(0)=detinters; toucDet(1)=detinters; toucDet(2)=detinters;
699 if(detm > 0 && detp <= fNdet[layerfin-1]) {
701 toucDet(3)=detm; toucDet(4)=detm; toucDet(5)=detm;
702 toucDet(6)=detp; toucDet(7)=detp; toucDet(8)=detp;
705 if(detm > 0 && detp > fNdet[layerfin-1]) {
707 toucDet(3)=detm; toucDet(4)=detm; toucDet(5)=detm;
710 if(detm <= 0 && detp <= fNdet[layerfin-1]) {
712 toucDet(3)=detp; toucDet(4)=detp; toucDet(5)=detp;
715 for (iriv=0; iriv<idetot; iriv++) { //for on detectors
716 //AliITSgeom *g1 = aliITS->GetITSgeom(); //vvecchia
717 AliITSgeom *g1 = fITS->GetITSgeom(); //nnuova
719 g1->GetCenterThetaPhi(layerInit-1,(Int_t)toucLad(iriv),(Int_t)toucDet(iriv),ctf);
721 // cout<<" layer, ladder, det, xo, yo, zo = "<<layerInit-1<<" "<<(Int_t)toucLad(iriv)<<
722 // " "<<(Int_t)toucDet(iriv)<<" "<<ctf(0)<<" "<<ctf(1)<<" "<<ctf(2)<< " "<<ctf(6)<<"\n"; getchar();
724 ////////////////////////////////////////////////////////////////////////////////////////////////
726 /*** Rec points sorted by module *****/
727 /**************************************/
730 AliITSRecPoint *recp;
731 //AliITSgeom *geom = aliITS->GetITSgeom(); //vvecchia
732 AliITSgeom *geom = fITS->GetITSgeom(); //nnuova
733 index = geom->GetModuleIndex(lycur,toucLad(iriv),toucDet(iriv));
735 geom->GetModuleId(index,lay,lad,det);
736 //aliITS->ResetRecPoints(); //vvecchia
737 fITS->ResetRecPoints(); //nnuova
738 //gAlice->TreeR()->GetEvent(index+1); //first entry in TreeR is empty
739 gAlice->TreeR()->GetEvent(index); //first entry in TreeR is empty
741 Int_t npoints=frecPoints->GetEntries();
742 Int_t *indlist=new Int_t[npoints+1];
745 for (ind=0; ind<=npoints; ind++) {
747 if (*(fvettid[index]+ind)==0) {
748 indlist[counter]=ind;
757 if(indlist[ind] < 0) recp=0;
758 else recp = (AliITSRecPoint*)frecPoints->UncheckedAt(indlist[ind]);
761 TVector cluster(3),vecclust(9);
762 vecclust(6)=vecclust(7)=vecclust(8)=-1.;
764 // set veclust in global
765 Float_t global[3], local[3];
766 local[0]=recp->GetX();
768 local[2]= recp->GetZ();
769 //AliITSgeom *g1 = aliITS->GetITSgeom(); //vvecchia
770 AliITSgeom *g1 = fITS->GetITSgeom(); //nnuova
772 Int_t plad = TMath::Nint(toucLad(iriv));
773 Int_t pdet = TMath::Nint(toucDet(iriv));
774 g1->LtoG(play,plad,pdet,local,global);
776 vecclust(0)=global[0];
777 vecclust(1)=global[1];
778 vecclust(2)=global[2];
781 vecclust(3) = (float)recp->fTracks[0];
782 vecclust(4) = (float)indlist[ind];
783 vecclust(5) = (float)index;
784 vecclust(6) = (float)recp->fTracks[0];
785 vecclust(7) = (float)recp->fTracks[1];
786 vecclust(8) = (float)recp->fTracks[2];
788 sigma[0] = (Double_t) recp->GetSigmaX2();
789 sigma[1] = (Double_t) recp->GetSigmaZ2();
791 //now we are in r,phi,z in global
792 cluster(0) = TMath::Sqrt(vecclust(0)*vecclust(0)+vecclust(1)*vecclust(1));//r hit
793 // cluster(1) = PhiDef(vecclust(0),vecclust(1)); // phi hit //vecchio
794 cluster(1) = TMath::ATan2(vecclust(1),vecclust(0)); if(cluster(1)<0.) cluster(1)+=2.*TMath::Pi(); //nuovo
795 cluster(2) = vecclust(2); // z hit
797 // cout<<" layer = "<<play<<"\n";
798 // cout<<" cluster prima = "<<vecclust(0)<<" "<<vecclust(1)<<" "
799 // <<vecclust(2)<<"\n"; getchar();
800 //cluster(1)= cluster(1)-trackITS->Getalphaprov(); //provvisorio;
801 //if(cluster(1)<0.) cluster(1)+=2.*TMath::Pi(); //provvisorio
802 //cout<<" cluster(1) dopo = "<<cluster(1)<< " alphaprov = "<<trackITS->Getalphaprov()<<"\n";
803 Float_t sigmatotphi, sigmatotz;
805 //Float_t epsphi=3.2, epsz=3.;
806 Float_t epsphi=5.0, epsz=5.0;
807 if(fPtref<0.2) {epsphi=3.; epsz=3.;}
809 Double_t rTrack=(*trackITS).Getrtrack();
810 Double_t sigmaphi=sigma[0]/(rTrack*rTrack);
811 sigmatotphi=epsphi*TMath::Sqrt(sigmaphi + (*trackITS).GetSigmaphi());
813 sigmatotz=epsz*TMath::Sqrt(sigma[1] + (*trackITS).GetSigmaZ());
814 //cout<<"cluster e sigmatotphi e track = "<<cluster(0)<<" "<<cluster(1)<<" "<<sigmatotphi<<" "<<vecclust(3)<<"\n";
815 //if(vecclust(3)==481) getchar();
816 if(cluster(1)<6. && (*trackITS).Getphi()>6.) cluster(1)=cluster(1)+(2.*TMath::Pi());
817 if(cluster(1)>6. && (*trackITS).Getphi()<6.) cluster(1)=cluster(1)-(2.*TMath::Pi());
818 if(TMath::Abs(cluster(1)-(*trackITS).Getphi()) > sigmatotphi) continue;
819 // cout<<" supero sigmaphi \n";
820 AliITSTrackV1 *newTrack = new AliITSTrackV1((*trackITS));
821 (*newTrack).SetLayer((*trackITS).GetLayer()-1);
823 if (TMath::Abs(rTrack-cluster(0))/rTrack>1e-6)
824 (*newTrack).Correct(Double_t(cluster(0)));
825 //cout<<" cluster(2) e (*newTrack).GetZ() = "<<cluster(2)<<" "<< (*newTrack).GetZ()<<"\n";
826 if(TMath::Abs(cluster(2)-(*newTrack).GetZ()) > sigmatotz){
830 if(iriv == 0) flaghit=1;
832 (*newTrack).AddMS(frl); // add the multiple scattering matrix to the covariance matrix
833 (*newTrack).AddEL(frl,1.,0);
835 Double_t sigmanew[2];
836 sigmanew[0]= sigmaphi;
837 sigmanew[1]=sigma[1];
840 KalmanFilterVert(newTrack,cluster,sigmanew);
842 KalmanFilter(newTrack,cluster,sigmanew);
845 (*newTrack).PutCluster(layernew, vecclust);
846 newTrack->AddClustInTrack();
848 listoftrack.AddLast(newTrack);
850 } // end of for(;;) on rec points
854 } // end of for on detectors
856 }//end if(outinters==0)
858 if(flaghit==0 || outinters==-2) {
859 AliITSTrackV1 *newTrack = new AliITSTrackV1(*trackITS);
860 (*newTrack).SetLayer((*trackITS).GetLayer()-1);
861 (*newTrack).AddMS(frl); // add the multiple scattering matrix to the covariance matrix
862 (*newTrack).AddEL(frl,1.,0);
864 listoftrack.AddLast(newTrack);
868 //gObjectTable->Print(); // stampa memoria
870 RecursiveTracking(&listoftrack);
871 listoftrack.Delete();
872 } // end of for on tracks
874 //gObjectTable->Print(); // stampa memoria
878 Int_t AliITSTrackerV1::Intersection(AliITSTrackV1 &track, Double_t rk,Int_t layer, Int_t &ladder,
880 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
881 // Found the intersection and the detector
883 if(track.DoNotCross(rk)){ /*cout<< " Do not cross \n";*/ return -1;}
884 track.Propagation(rk);
885 Double_t zinters=track.GetZ();
886 Double_t phinters=track.Getphi();
887 //cout<<"zinters = "<<zinters<<" phinters = "<<phinters<<"\n";
889 ////////////////////////////////// limits for Geometry 5 /////////////////////////////
891 //Int_t NLadder[]= {20, 40, 14, 22, 34, 38};
892 //Int_t NDetector[]= {4, 4, 6, 8, 23, 26};
894 //Float_t Detx[]= {0.64, 0.64, 3.509, 3.509, 3.65, 3.65 };
895 //Float_t Detz[]= {4.19, 4.19, 3.75 , 3.75 , 2 , 2 };
897 ////////////////////////////////////////////////////////////////////////////////////////////////
901 TVector distZCenter(2);
902 AliITSgeom *g1 = ((AliITS*)gAlice->GetDetector("ITS"))->GetITSgeom();
906 Double_t epszpixel=0.05;
909 for(iD = 1; iD<= fNdet[layer-1]; iD++) {
910 g1->GetCenterThetaPhi(layer,1,iD,det);
911 Double_t zmin=det(2)-fDetz[layer-1];
912 if(iD==1) zmin=det(2)-(fDetz[layer-1])*epsz;
913 Double_t zmax=det(2)+fDetz[layer-1];
914 if(iD==fNdet[layer-1]) zmax=det(2)+(fDetz[layer-1])*epsz;
915 //added to take into account problem on drift
916 if(layer == 4 || layer==3) zmin=zmin-epszpixel; zmax=zmax+epszpixel;
917 //cout<<"zmin zinters zmax det(2)= "<<zmin<<" "<<zinters<<" "<<zmax<<" "<<det(2)<<"\n";
918 if(zinters > zmin && zinters <= zmax) {
919 if(iz>1) {cout<< " Errore su iz in Intersection \n"; getchar();}
921 listDet(iz)= iD; distZCenter(iz)=TMath::Abs(zinters-det(2)); iz++;
926 if(iz==0) {/* cout<< " No detector along Z \n";*/ return -2;}
927 detector=Int_t (listDet(0));
928 if(iz>1 && (distZCenter(0)>distZCenter(1))) detector=Int_t (listDet(1));
930 AliITSgeom *g2 = ((AliITS*)gAlice->GetDetector("ITS"))->GetITSgeom();
934 TVector distPhiCenter(2);
936 Double_t pigre=TMath::Pi();
939 for(iLd = 1; iLd<= fNlad[layer-1]; iLd++) {
940 g1->GetCenterThetaPhi(layer,iLd,detector,det);
941 // Double_t phidet=PhiDef(Double_t(det(0)),Double_t(det(1))); //vecchio
942 Double_t phidet= TMath::ATan2(Double_t(det(1)),Double_t(det(0))); if(phidet<0.) phidet+=2.*TMath::Pi(); //nuovo
943 // cout<<" layer phidet e det(6) = "<< layer<<" "<<phidet<<" "<<det(6)<<"\n"; getchar();
944 Double_t xmin,ymin,xmax,ymax;
945 // Double_t phiconfr=0.0;
946 //cout<<" phiconfr inizio = "<<phiconfr <<"\n"; getchar();
947 local[1]=local[2]=0.;
948 local[0]= -(fDetx[layer-1]);
949 if(layer==1) local[0]= (fDetx[layer-1]); //take into account different reference system
950 g2->LtoG(layer,iLd,detector,local,global);
951 xmax=global[0]; ymax=global[1];
952 local[0]= (fDetx[layer-1]);
953 if(layer==1) local[0]= -(fDetx[layer-1]); //take into account different reference system
954 g2->LtoG(layer,iLd,detector,local,global);
955 xmin=global[0]; ymin=global[1];
956 // Double_t phimin=PhiDef(xmin,ymin); //vecchio
957 Double_t phimin= TMath::ATan2(ymin,xmin); if(phimin<0.) phimin+=2.*TMath::Pi(); //nuovo
958 // Double_t phimax=PhiDef(xmax,ymax);
959 Double_t phimax= TMath::ATan2(ymax,xmax); if(phimax<0.) phimax+=2.*TMath::Pi(); //nuovo
960 //cout<<" xmin ymin = "<<xmin<<" "<<ymin<<"\n";
961 // cout<<" xmax ymax = "<<xmax<<" "<<ymax<<"\n";
962 // cout<<" iLd phimin phimax ="<<iLd<<" "<<phimin<<" "<<phimax<<"\n";
964 Double_t phiconfr=phinters;
966 if(phimin <5.5) {cout<<" Error in Intersection for phi \n"; getchar();}
967 phimin=phimin-(2.*pigre);
968 if(phinters>(1.5*pigre)) phiconfr=phinters-(2.*pigre);
969 if(phidet>(1.5*pigre)) phidet=phidet-(2.*pigre);
971 // cout<<" phiconfr finale = "<<phiconfr<<"\n"; getchar();
972 if(phiconfr>phimin && phiconfr<= phimax) {
974 cout<< " Errore su ip in Intersection \n"; getchar();
977 listLad(ip)= iLd; distPhiCenter(ip)=TMath::Abs(phiconfr-phidet); ip++;
981 if(ip==0) { cout<< " No detector along phi \n"; getchar();}
982 ladder=Int_t (listLad(0));
983 if(ip>1 && (distPhiCenter(0)>distPhiCenter(1))) ladder=Int_t (listLad(1));
989 void AliITSTrackerV1::KalmanFilter(AliITSTrackV1 *newTrack,TVector &cluster,Double_t sigma[2]){
990 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
991 // Kalman filter without vertex constraint
994 ////////////////////////////// Evaluation of the measurement vector /////////////////////////////////////
998 rk=cluster(0); phik=cluster(1); zk=cluster(2);
1001 ///////////////////////////////////// Evaluation of the error matrix V ///////////////////////////////
1003 Double_t v00=sigma[0];
1004 Double_t v11=sigma[1];
1006 ///////////////////////////////////////////////////////////////////////////////////////////
1009 Double_t cin00,cin10,cin20,cin30,cin40,cin11,cin21,cin31,cin41,cin22,cin32,cin42,cin33,cin43,cin44;
1011 newTrack->GetCElements(cin00,cin10,cin11,cin20,cin21,cin22,cin30,cin31,cin32,cin33,cin40,
1012 cin41,cin42,cin43,cin44); //get C matrix
1014 Double_t rold00=cin00+v00;
1015 Double_t rold10=cin10;
1016 Double_t rold11=cin11+v11;
1018 //////////////////////////////////// R matrix inversion ///////////////////////////////////////////////
1020 Double_t det=rold00*rold11-rold10*rold10;
1021 Double_t r00=rold11/det;
1022 Double_t r10=-rold10/det;
1023 Double_t r11=rold00/det;
1025 ////////////////////////////////////////////////////////////////////////////////////////////////////////
1027 Double_t k00=cin00*r00+cin10*r10;
1028 Double_t k01=cin00*r10+cin10*r11;
1029 Double_t k10=cin10*r00+cin11*r10;
1030 Double_t k11=cin10*r10+cin11*r11;
1031 Double_t k20=cin20*r00+cin21*r10;
1032 Double_t k21=cin20*r10+cin21*r11;
1033 Double_t k30=cin30*r00+cin31*r10;
1034 Double_t k31=cin30*r10+cin31*r11;
1035 Double_t k40=cin40*r00+cin41*r10;
1036 Double_t k41=cin40*r10+cin41*r11;
1038 Double_t x0,x1,x2,x3,x4;
1039 newTrack->GetXElements(x0,x1,x2,x3,x4); // get the state vector
1041 Double_t savex0=x0, savex1=x1;
1043 x0+=k00*(m[0]-savex0)+k01*(m[1]-savex1);
1044 x1+=k10*(m[0]-savex0)+k11*(m[1]-savex1);
1045 x2+=k20*(m[0]-savex0)+k21*(m[1]-savex1);
1046 x3+=k30*(m[0]-savex0)+k31*(m[1]-savex1);
1047 x4+=k40*(m[0]-savex0)+k41*(m[1]-savex1);
1049 Double_t c00,c10,c20,c30,c40,c11,c21,c31,c41,c22,c32,c42,c33,c43,c44;
1051 c00=cin00-k00*cin00-k01*cin10;
1052 c10=cin10-k00*cin10-k01*cin11;
1053 c20=cin20-k00*cin20-k01*cin21;
1054 c30=cin30-k00*cin30-k01*cin31;
1055 c40=cin40-k00*cin40-k01*cin41;
1057 c11=cin11-k10*cin10-k11*cin11;
1058 c21=cin21-k10*cin20-k11*cin21;
1059 c31=cin31-k10*cin30-k11*cin31;
1060 c41=cin41-k10*cin40-k11*cin41;
1062 c22=cin22-k20*cin20-k21*cin21;
1063 c32=cin32-k20*cin30-k21*cin31;
1064 c42=cin42-k20*cin40-k21*cin41;
1066 c33=cin33-k30*cin30-k31*cin31;
1067 c43=cin43-k30*cin40-k31*cin41;
1069 c44=cin44-k40*cin40-k41*cin41;
1071 newTrack->PutXElements(x0,x1,x2,x3,x4); // put the new state vector
1073 newTrack->PutCElements(c00,c10,c11,c20,c21,c22,c30,c31,c32,c33,c40,c41,c42,c43,c44); // put in track the
1075 Double_t vmcold00=v00-c00;
1076 Double_t vmcold10=-c10;
1077 Double_t vmcold11=v11-c11;
1079 ///////////////////////////////////// Matrix vmc inversion ////////////////////////////////////////////////
1081 det=vmcold00*vmcold11-vmcold10*vmcold10;
1082 Double_t vmc00=vmcold11/det;
1083 Double_t vmc10=-vmcold10/det;
1084 Double_t vmc11=vmcold00/det;
1086 ////////////////////////////////////////////////////////////////////////////////////////////////////////////
1088 Double_t chi2=(m[0]-x0)*( vmc00*(m[0]-x0) + 2.*vmc10*(m[1]-x1) ) +
1089 (m[1]-x1)*vmc11*(m[1]-x1);
1091 newTrack->SetChi2(newTrack->GetChi2()+chi2);
1096 void AliITSTrackerV1::KalmanFilterVert(AliITSTrackV1 *newTrack,TVector &cluster,Double_t sigma[2]){
1097 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
1098 // Kalman filter with vertex constraint
1100 ////////////////////////////// Evaluation of the measurement vector m ///////////////
1103 Double_t rk,phik,zk;
1104 rk=cluster(0); phik=cluster(1); zk=cluster(2);
1107 Double_t cc=(*newTrack).GetC();
1108 Double_t zv=(*newTrack).GetZv();
1109 Double_t dv=(*newTrack).GetDv();
1111 Double_t tgl= (zk-zv)*cy/TMath::ASin(cy*rk);
1114 ///////////////////////////////////// Evaluation of the error matrix V //////////////
1115 Int_t layer=newTrack->GetLayer();
1116 Double_t v00=sigma[0];
1117 Double_t v11=sigma[1];
1118 Double_t v31=sigma[1]/rk;
1119 Double_t sigmaDv=newTrack->GetsigmaDv();
1120 Double_t v22=sigmaDv*sigmaDv + newTrack->Getd2(layer-1);
1121 Double_t v32=newTrack->Getdtgl(layer-1);
1122 Double_t sigmaZv=newTrack->GetsigmaZv();
1123 Double_t v33=(sigma[1]+sigmaZv*sigmaZv)/(rk*rk) + newTrack->Gettgl2(layer-1);
1124 ///////////////////////////////////////////////////////////////////////////////////////
1126 Double_t cin00,cin10,cin11,cin20,cin21,cin22,cin30,cin31,cin32,cin33,cin40,cin41,cin42,cin43,cin44;
1128 newTrack->GetCElements(cin00,cin10,cin11,cin20,cin21,cin22,cin30,cin31,cin32,cin33,cin40,
1129 cin41,cin42,cin43,cin44); //get C matrix
1138 r[3][1]=cin31+sigma[1]/rk;
1139 r[2][2]=cin22+sigmaDv*sigmaDv+newTrack->Getd2(layer-1);
1140 r[3][2]=cin32+newTrack->Getdtgl(layer-1);
1141 r[3][3]=cin33+(sigma[1]+sigmaZv*sigmaZv)/(rk*rk) + newTrack->Gettgl2(layer-1);
1143 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];
1146 ///////////////////// Matrix R inversion ////////////////////////////////////////////
1151 Int_t ll[kn],mm[kn];
1155 for(k=0; k<kn; k++) {
1159 for(j=k; j<kn ; j++) {
1160 for (i=j; i<kn; i++) {
1161 if(TMath::Abs(big) < TMath::Abs(r[i][j]) ) { big=r[i][j]; ll[k]=i; mm[k]=j; }
1167 for(i=0; i<kn; i++) { hold=-r[k][i]; r[k][i]=r[j][i]; r[j][i]=hold; }
1173 for(j=0; j<kn; j++) { hold=-r[j][k]; r[j][k]=r[j][i]; r[j][i]=hold; }
1178 cout << "Singular matrix\n";
1180 for(i=0; i<kn; i++) {
1181 if(i == k) { continue; }
1182 r[i][k]=r[i][k]/(-big);
1185 for(i=0; i<kn; i++) {
1187 for(j=0; j<kn; j++) {
1188 if(i == k || j == k) { continue; }
1189 r[i][j]=hold*r[k][j]+r[i][j];
1193 for(j=0; j<kn; j++) {
1194 if(j == k) { continue; }
1195 r[k][j]=r[k][j]/big;
1203 for(k=kn-1; k>=0; k--) {
1206 for (j=0; j<kn; j++) {hold=r[j][k]; r[j][k]=-r[j][i]; r[j][i]=hold;}
1210 for (i=0; i<kn; i++) {hold=r[k][i]; r[k][i]=-r[j][i]; r[j][i]=hold;}
1213 //////////////////////////////////////////////////////////////////////////////////
1216 Double_t k00=cin00*r[0][0]+cin10*r[1][0]+cin20*r[2][0]+cin30*r[3][0];
1217 Double_t k01=cin00*r[1][0]+cin10*r[1][1]+cin20*r[2][1]+cin30*r[3][1];
1218 Double_t k02=cin00*r[2][0]+cin10*r[2][1]+cin20*r[2][2]+cin30*r[3][2];
1219 Double_t k03=cin00*r[3][0]+cin10*r[3][1]+cin20*r[3][2]+cin30*r[3][3];
1220 Double_t k10=cin10*r[0][0]+cin11*r[1][0]+cin21*r[2][0]+cin31*r[3][0];
1221 Double_t k11=cin10*r[1][0]+cin11*r[1][1]+cin21*r[2][1]+cin31*r[3][1];
1222 Double_t k12=cin10*r[2][0]+cin11*r[2][1]+cin21*r[2][2]+cin31*r[3][2];
1223 Double_t k13=cin10*r[3][0]+cin11*r[3][1]+cin21*r[3][2]+cin31*r[3][3];
1224 Double_t k20=cin20*r[0][0]+cin21*r[1][0]+cin22*r[2][0]+cin32*r[3][0];
1225 Double_t k21=cin20*r[1][0]+cin21*r[1][1]+cin22*r[2][1]+cin32*r[3][1];
1226 Double_t k22=cin20*r[2][0]+cin21*r[2][1]+cin22*r[2][2]+cin32*r[3][2];
1227 Double_t k23=cin20*r[3][0]+cin21*r[3][1]+cin22*r[3][2]+cin32*r[3][3];
1228 Double_t k30=cin30*r[0][0]+cin31*r[1][0]+cin32*r[2][0]+cin33*r[3][0];
1229 Double_t k31=cin30*r[1][0]+cin31*r[1][1]+cin32*r[2][1]+cin33*r[3][1];
1230 Double_t k32=cin30*r[2][0]+cin31*r[2][1]+cin32*r[2][2]+cin33*r[3][2];
1231 Double_t k33=cin30*r[3][0]+cin31*r[3][1]+cin32*r[3][2]+cin33*r[3][3];
1232 Double_t k40=cin40*r[0][0]+cin41*r[1][0]+cin42*r[2][0]+cin43*r[3][0];
1233 Double_t k41=cin40*r[1][0]+cin41*r[1][1]+cin42*r[2][1]+cin43*r[3][1];
1234 Double_t k42=cin40*r[2][0]+cin41*r[2][1]+cin42*r[2][2]+cin43*r[3][2];
1235 Double_t k43=cin40*r[3][0]+cin41*r[3][1]+cin42*r[3][2]+cin43*r[3][3];
1237 Double_t x0,x1,x2,x3,x4;
1238 newTrack->GetXElements(x0,x1,x2,x3,x4); // get the state vector
1240 Double_t savex0=x0, savex1=x1, savex2=x2, savex3=x3;
1242 x0+=k00*(m[0]-savex0)+k01*(m[1]-savex1)+k02*(m[2]-savex2)+
1244 x1+=k10*(m[0]-savex0)+k11*(m[1]-savex1)+k12*(m[2]-savex2)+
1246 x2+=k20*(m[0]-savex0)+k21*(m[1]-savex1)+k22*(m[2]-savex2)+
1248 x3+=k30*(m[0]-savex0)+k31*(m[1]-savex1)+k32*(m[2]-savex2)+
1250 x4+=k40*(m[0]-savex0)+k41*(m[1]-savex1)+k42*(m[2]-savex2)+
1253 Double_t c00,c10,c20,c30,c40,c11,c21,c31,c41,c22,c32,c42,c33,c43,c44;
1255 c00=cin00-k00*cin00-k01*cin10-k02*cin20-k03*cin30;
1256 c10=cin10-k00*cin10-k01*cin11-k02*cin21-k03*cin31;
1257 c20=cin20-k00*cin20-k01*cin21-k02*cin22-k03*cin32;
1258 c30=cin30-k00*cin30-k01*cin31-k02*cin32-k03*cin33;
1259 c40=cin40-k00*cin40-k01*cin41-k02*cin42-k03*cin43;
1261 c11=cin11-k10*cin10-k11*cin11-k12*cin21-k13*cin31;
1262 c21=cin21-k10*cin20-k11*cin21-k12*cin22-k13*cin32;
1263 c31=cin31-k10*cin30-k11*cin31-k12*cin32-k13*cin33;
1264 c41=cin41-k10*cin40-k11*cin41-k12*cin42-k13*cin43;
1266 c22=cin22-k20*cin20-k21*cin21-k22*cin22-k23*cin32;
1267 c32=cin32-k20*cin30-k21*cin31-k22*cin32-k23*cin33;
1268 c42=cin42-k20*cin40-k21*cin41-k22*cin42-k23*cin43;
1270 c33=cin33-k30*cin30-k31*cin31-k32*cin32-k33*cin33;
1271 c43=cin43-k30*cin40-k31*cin41-k32*cin42-k33*cin43;
1273 c44=cin44-k40*cin40-k41*cin41-k42*cin42-k43*cin43;
1275 newTrack->PutXElements(x0,x1,x2,x3,x4); // put the new state vector
1277 newTrack->PutCElements(c00,c10,c11,c20,c21,c22,c30,c31,c32,c33,c40,c41,c42,c43,c44); // put in track the
1282 vmc[0][0]=v00-c00; vmc[1][0]=-c10; vmc[2][0]=-c20; vmc[3][0]=-c30;
1283 vmc[1][1]=v11-c11; vmc[2][1]=-c21; vmc[3][1]=v31-c31;
1284 vmc[2][2]=v22-c22; vmc[3][2]=v32-c32;
1287 vmc[0][1]=vmc[1][0]; vmc[0][2]=vmc[2][0]; vmc[0][3]=vmc[3][0];
1288 vmc[1][2]=vmc[2][1]; vmc[1][3]=vmc[3][1];
1289 vmc[2][3]=vmc[3][2];
1292 /////////////////////// vmc matrix inversion ///////////////////////////////////
1296 for(k=0; k<kn; k++) {
1300 for(j=k; j<kn ; j++) {
1301 for (i=j; i<kn; i++) {
1302 if(TMath::Abs(big) < TMath::Abs(vmc[i][j]) ) { big=vmc[i][j]; ll[k]=i; mm[k]=j; }
1308 for(i=0; i<kn; i++) { hold=-vmc[k][i]; vmc[k][i]=vmc[j][i]; vmc[j][i]=hold; }
1314 for(j=0; j<kn; j++) { hold=-vmc[j][k]; vmc[j][k]=vmc[j][i]; vmc[j][i]=hold; }
1319 cout << "Singular matrix\n";
1321 for(i=0; i<kn; i++) {
1322 if(i == k) { continue; }
1323 vmc[i][k]=vmc[i][k]/(-big);
1326 for(i=0; i<kn; i++) {
1328 for(j=0; j<kn; j++) {
1329 if(i == k || j == k) { continue; }
1330 vmc[i][j]=hold*vmc[k][j]+vmc[i][j];
1334 for(j=0; j<kn; j++) {
1335 if(j == k) { continue; }
1336 vmc[k][j]=vmc[k][j]/big;
1344 for(k=kn-1; k>=0; k--) {
1347 for (j=0; j<kn; j++) {hold=vmc[j][k]; vmc[j][k]=-vmc[j][i]; vmc[j][i]=hold;}
1351 for (i=0; i<kn; i++) {hold=vmc[k][i]; vmc[k][i]=-vmc[j][i]; vmc[j][i]=hold;}
1356 ////////////////////////////////////////////////////////////////////////////////
1358 Double_t chi2=(m[0]-x0)*( vmc[0][0]*(m[0]-x0) + 2.*vmc[1][0]*(m[1]-x1) +
1359 2.*vmc[2][0]*(m[2]-x2)+ 2.*vmc[3][0]*(m[3]-x3) ) +
1360 (m[1]-x1)* ( vmc[1][1]*(m[1]-x1) + 2.*vmc[2][1]*(m[2]-x2)+
1361 2.*vmc[3][1]*(m[3]-x3) ) +
1362 (m[2]-x2)* ( vmc[2][2]*(m[2]-x2)+ 2.*vmc[3][2]*(m[3]-x3) ) +
1363 (m[3]-x3)*vmc[3][3]*(m[3]-x3);
1365 newTrack->SetChi2(newTrack->GetChi2()+chi2);