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 <TStopwatch.h>
23 #include "TParticle.h"
26 #include "AliITSsegmentationSSD.h"
27 #include "AliITSgeomSPD.h"
28 #include "AliITSgeomSDD.h"
29 #include "AliITSgeomSSD.h"
30 #include "AliITSgeom.h"
31 #include "AliITSRecPoint.h"
33 #include "AliKalmanTrack.h"
35 #include "AliITSTrackV1.h"
36 #include "AliITSIOTrack.h"
37 #include "AliITSRad.h"
38 #include "../TPC/AliTPCtracker.h"
39 #include "AliITSTrackerV1.h"
41 ClassImp(AliITSTrackerV1)
44 //________________________________________________________________
46 AliITSTrackerV1::AliITSTrackerV1(AliITS* IITTSS, Bool_t flag) {
47 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
48 // Class constructor. It does some initializations.
53 Int_t imax=200,jmax=450;
54 frl = new AliITSRad(imax,jmax);
56 /////////////////////////////////////// gets information on geometry ///////////////////////////////////
58 AliITSgeom *g1 = ((AliITS*)gAlice->GetDetector("ITS"))->GetITSgeom();
63 //cout<<" nlad ed ndet \n";
65 for(ia=0; ia<6; ia++) {
66 fNlad[ia]=g1->GetNladders(ia+1);
67 fNdet[ia]=g1->GetNdetectors(ia+1);
68 //cout<<fNlad[i]<<" "<<fNdet[i]<<"\n";
72 //cout<<" raggio medio = ";
74 for(ib=0; ib<6; ib++) {
75 g1->GetCenterThetaPhi(ib+1,ll,dd,det);
76 Double_t r1=TMath::Sqrt(det(0)*det(0)+det(1)*det(1));
77 g1->GetCenterThetaPhi(ib+1,ll,dd+1,det);
78 Double_t r2=TMath::Sqrt(det(0)*det(0)+det(1)*det(1));
79 fAvrad[ib]=(r1+r2)/2.;
80 //cout<<fAvrad[ib]<<" ";
82 //cout<<"\n"; getchar();
84 fDetx[0] = ((AliITSgeomSPD*)(g1->GetShape(1, ll, dd)))->GetDx();
85 fDetz[0] = ((AliITSgeomSPD*)(g1->GetShape(1, ll, dd)))->GetDz();
87 fDetx[1] = ((AliITSgeomSPD*)(g1->GetShape(2, ll, dd)))->GetDx();
88 fDetz[1] = ((AliITSgeomSPD*)(g1->GetShape(2, ll, dd)))->GetDz();
90 fDetx[2] = ((AliITSgeomSDD*)(g1->GetShape(3, ll, dd)))->GetDx();
91 fDetz[2] = ((AliITSgeomSDD*)(g1->GetShape(3, ll, dd)))->GetDz();
93 fDetx[3] = ((AliITSgeomSDD*)(g1->GetShape(4, ll, dd)))->GetDx();
94 fDetz[3] = ((AliITSgeomSDD*)(g1->GetShape(4, ll, dd)))->GetDz();
96 fDetx[4] = ((AliITSgeomSSD*)(g1->GetShape(5, ll, dd)))->GetDx();
97 fDetz[4] = ((AliITSgeomSSD*)(g1->GetShape(5, ll, dd)))->GetDz();
99 fDetx[5] = ((AliITSgeomSSD*)(g1->GetShape(6, ll, dd)))->GetDx();
100 fDetz[5] = ((AliITSgeomSSD*)(g1->GetShape(6, ll, dd)))->GetDz();
102 //cout<<" Detx Detz\n";
103 //for(Int_t la=0; la<6; la++) cout<<" "<<fDetx[la]<<" "<<fDetz[la]<<"\n";
105 //////////////////////////////////////////////////////////////////////////////////////////////////////////
107 ////////////////// allocate memory and define matrices fzmin, fzmax, fphimin and fphimax /////////////////////////////////
110 Double_t epszdrift=0.05;
112 fzmin = new Double_t*[6]; fzmax = new Double_t*[6];
113 Int_t im1, im2, im2max;
114 for(im1=0; im1<6; im1++) {
116 fzmin[im1] = new Double_t[im2max]; fzmax[im1] = new Double_t[im2max];
119 for(im1=0; im1<6; im1++) {
121 for(im2=0; im2<im2max; im2++) {
122 g1->GetCenterThetaPhi(im1+1,1,im2+1,det);
123 if(im2!=0) fzmin[im1][im2]=det(2)-fDetz[im1];
125 fzmin[im1][im2]=det(2)-(fDetz[im1])*epsz;
126 if(im2!=(im2max-1)) fzmax[im1][im2]=det(2)+fDetz[im1];
128 fzmax[im1][im2]=det(2)+fDetz[im1]*epsz;
129 if(im1==2 || im1==3) {fzmin[im1][im2]-=epszdrift; fzmax[im1][im2]+=epszdrift;}
133 fphimin = new Double_t*[6]; fphimax = new Double_t*[6];
134 for(im1=0;im1<6;im1++) {
136 fphimin[im1] = new Double_t[im2max]; fphimax[im1] = new Double_t[im2max];
139 fphidet = new Double_t*[6];
140 for(im1=0; im1<6; im1++) {
142 fphidet[im1] = new Double_t[im2max];
145 Float_t global[3],local[3];
146 Double_t pigre=TMath::Pi();
147 Double_t xmin,ymin,xmax,ymax;
149 for(im1=0; im1<6; im1++) {
151 for(im2=0; im2<im2max; im2++) {
153 g1->GetCenterThetaPhi(im1+1,im2+1,idet,det);
154 fphidet[im1][im2]= TMath::ATan2(Double_t(det(1)),Double_t(det(0)));
155 if(fphidet[im1][im2]<0.) fphidet[im1][im2]+=2.*pigre;
156 local[1]=local[2]=0.;
157 local[0]= -(fDetx[im1]);
158 if(im1==0) local[0]= (fDetx[im1]); //to take into account different reference system
159 g1->LtoG(im1+1,im2+1,idet,local,global);
160 xmax=global[0]; ymax=global[1];
161 local[0]= (fDetx[im1]);
162 if(im1==0) local[0]= -(fDetx[im1]); //take into account different reference system
163 g1->LtoG(im1+1,im2+1,idet,local,global);
164 xmin=global[0]; ymin=global[1];
165 fphimin[im1][im2]= TMath::ATan2(ymin,xmin); if(fphimin[im1][im2]<0.) fphimin[im1][im2]+=2.*pigre;
166 fphimax[im1][im2]= TMath::ATan2(ymax,xmax); if(fphimax[im1][im2]<0.) fphimax[im1][im2]+=2.*pigre;
170 //////////////////////////////////////////////////////////////////////////////////////////////////////////
172 //////////////////////////////////////// gets magnetic field factor ////////////////////////////////
174 AliMagF * fieldPointer = gAlice->Field();
175 fFieldFactor = (Double_t)fieldPointer->Factor();
176 //cout<< " field factor = "<<fFieldFactor<<"\n"; getchar();
178 /////////////////////////////////////////////////////////////////////////////////////////////////////////
182 AliITSTrackerV1::AliITSTrackerV1(const AliITSTrackerV1 &cobj) {
183 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
187 *fresult = *cobj.fresult;
188 fPtref = cobj.fPtref;
189 **fvettid = **cobj.fvettid;
190 fflagvert = cobj.fflagvert;
191 Int_t imax=200,jmax=450;
192 frl = new AliITSRad(imax,jmax);
194 fFieldFactor = cobj.fFieldFactor;
195 Int_t i,im1,im2,im2max;
197 fNlad[i] = cobj.fNlad[i];
198 fNdet[i] = cobj.fNdet[i];
199 fAvrad[i] = cobj.fAvrad[i];
200 fDetx[i] = cobj.fDetx[i];
201 fDetz[i] = cobj.fDetz[i];
203 fzmin = new Double_t*[6]; fzmax = new Double_t*[6];
204 for(im1=0; im1<6; im1++) {
206 fzmin[im1] = new Double_t[im2max]; fzmax[im1] = new Double_t[im2max];
208 fphimin = new Double_t*[6]; fphimax = new Double_t*[6];
209 for(im1=0;im1<6;im1++) {
211 fphimin[im1] = new Double_t[im2max]; fphimax[im1] = new Double_t[im2max];
214 fphidet = new Double_t*[6];
215 for(im1=0; im1<6; im1++) {
217 fphidet[im1] = new Double_t[im2max];
219 for(im1=0; im1<6; im1++) {
221 for(im2=0; im2<im2max; im2++) {
222 fzmin[im1][im2]=cobj.fzmin[im1][im2];
223 fzmax[im1][im2]=cobj.fzmax[im1][im2];
226 for(im1=0; im1<6; im1++) {
228 for(im2=0; im2<im2max; im2++) {
229 fphimin[im1][im2]=cobj.fphimin[im1][im2];
230 fphimax[im1][im2]=cobj.fphimax[im1][im2];
231 fphidet[im1][im2]=cobj.fphidet[im1][im2];
236 AliITSTrackerV1::~AliITSTrackerV1(){
237 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
240 //cout<<" CpuTimeKalman = "<<fTimerKalman->CpuTime()<<"\n";
241 //cout<<" CpuTimeIntersection = "<<fTimerIntersection->CpuTime()<<"\n";
242 //cout<<" CpuTimeIntersection = "<<TStopwatch::GetCPUTime()<<"\n";
243 //delete fTimerKalman;
244 //delete fTimerIntersection;
249 AliITSTrackerV1 &AliITSTrackerV1::operator=(AliITSTrackerV1 obj) {
250 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
251 // assignement operator
254 *fresult = *obj.fresult;
256 **fvettid = **obj.fvettid;
257 fflagvert = obj.fflagvert;
258 Int_t imax=200,jmax=450;
259 frl = new AliITSRad(imax,jmax);
261 fFieldFactor = obj.fFieldFactor;
264 fNlad[i] = obj.fNlad[i];
265 fNdet[i] = obj.fNdet[i];
266 fAvrad[i] = obj.fAvrad[i];
267 fDetx[i] = obj.fDetx[i];
268 fDetz[i] = obj.fDetz[i];
270 fzmin = new Double_t*[6]; fzmax = new Double_t*[6];
271 Int_t im1, im2, im2max;
272 for(im1=0; im1<6; im1++) {
274 fzmin[im1] = new Double_t[im2max]; fzmax[im1] = new Double_t[im2max];
276 fphimin = new Double_t*[6]; fphimax = new Double_t*[6];
277 for(im1=0;im1<6;im1++) {
279 fphimin[im1] = new Double_t[im2max]; fphimax[im1] = new Double_t[im2max];
282 fphidet = new Double_t*[6];
283 for(im1=0; im1<6; im1++) {
285 fphidet[im1] = new Double_t[im2max];
287 for(im1=0; im1<6; im1++) {
289 for(im2=0; im2<im2max; im2++) {
290 fzmin[im1][im2]=obj.fzmin[im1][im2];
291 fzmax[im1][im2]=obj.fzmax[im1][im2];
294 for(im1=0; im1<6; im1++) {
296 for(im2=0; im2<im2max; im2++) {
297 fphimin[im1][im2]=obj.fphimin[im1][im2];
298 fphimax[im1][im2]=obj.fphimax[im1][im2];
299 fphidet[im1][im2]=obj.fphidet[im1][im2];
308 //________________________________________________________________
311 void AliITSTrackerV1::DoTracking(Int_t evNumber, Int_t minTr, Int_t maxTr, TFile *file) {
312 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
313 //The method needs the event number, the minimum and maximum order number of TPC tracks that
314 //are to be tracked trough the ITS, and the file where the recpoints are registered.
315 //The method can be called by a macro. It preforms the tracking for all good TPC tracks
318 printf("begin DoTracking - file %p\n",file);
322 Float_t px,py,pz,x,y,z,pxg,pyg,pzg,ptg;
329 AliKalmanTrack *kkprov;
330 kkprov->SetConvConst(100/0.299792458/0.2/fFieldFactor);
333 TFile *cf=TFile::Open("AliTPCclusters.root");
334 AliTPCParam *digp= (AliTPCParam*)cf->Get("75x40_100x60");
335 if (!digp) { cerr<<"TPC parameters have not been found !\n"; getchar();}
337 AliTPCtracker *tracker = new AliTPCtracker(digp);
340 tracker->LoadInnerSectors();
341 tracker->LoadOuterSectors();
346 ifstream in("itsgood_tracks");
348 cerr<<"Reading itsgood tracks...\n";
349 while (in>>gt[ngood].lab>>gt[ngood].code
350 >>gt[ngood].px >>gt[ngood].py>>gt[ngood].pz
351 >>gt[ngood].x >>gt[ngood].y >>gt[ngood].z
352 >>gt[ngood].pxg >>gt[ngood].pyg >>gt[ngood].pzg
353 >>gt[ngood].ptg >>gt[ngood].flag) {
357 cerr<<"Too many good tracks !\n";
361 if (!in.eof()) cerr<<"Read error (itsgood_tracks) !\n";
365 TFile *tf=TFile::Open("AliTPCtracks.root");
366 if (!tf->IsOpen()) {cerr<<"Can't open AliTPCtracks.root !\n"; return ;}
367 TObjArray tracks(200000);
368 TTree *tracktree=(TTree*)tf->Get("TPCf");
369 if (!tracktree) {cerr<<"Can't get a tree with TPC tracks !\n";}
370 TBranch *tbranch=tracktree->GetBranch("tracks");
371 Int_t nentr=(Int_t)tracktree->GetEntries();
374 AliTPCtrack *ioTrackTPC=0;
375 for (kk=0; kk<nentr; kk++) {
376 ioTrackTPC=new AliTPCtrack;
377 tbranch->SetAddress(&ioTrackTPC);
378 tracktree->GetEvent(kk);
379 tracker->CookLabel(ioTrackTPC,0.1);
380 tracks.AddLast(ioTrackTPC);
386 Int_t nt = tracks.GetEntriesFast();
387 cerr<<"Number of found tracks "<<nt<<endl;
392 Double_t ptg=0.,pxg=0.,pyg=0.,pzg=0.;
394 ////////////////////////////// good tracks definition in TPC ////////////////////////////////
396 ofstream out1 ("AliITSTrag.out");
398 for (i=0; i<ngood; i++) out1 << gt[i].ptg << "\n";
403 TTree *tr=gAlice->TreeR();
404 Int_t nent=(Int_t)tr->GetEntries();
405 //TClonesArray *recPoints = RecPoints(); // nuova eliminata
406 //TClonesArray *recPoints = ITS->RecPoints(); // nuova
408 frecPoints = fITS->RecPoints(); // nuovissima tolta
412 Int_t *np = new Int_t[nent];
414 fvettid = new Int_t* [nent];
417 for (mod=0; mod<nent; mod++) {
419 fITS->ResetRecPoints(); // nuova
420 //gAlice->TreeR()->GetEvent(mod+1); //first entry in TreeR is empty
421 gAlice->TreeR()->GetEvent(mod); //first entry in TreeR is empty
422 numbpoints = frecPoints->GetEntries();
423 totalpoints+=numbpoints;
424 np[mod] = numbpoints;
425 //cout<<" mod = "<<mod<<" numbpoints = "<<numbpoints<<"\n"; getchar();
426 fvettid[mod] = new Int_t[numbpoints];
428 for (ii=0;ii<numbpoints; ii++) *(fvettid[mod]+ii)=0;
431 AliTPCtrack *track=0;
434 if(minTr < 0) {minTr = 0; maxTr = nt-1;}
437 ///////////////////////////////// Definition of vertex end its error ////////////////////////////
438 ////////////////////////// In the future it will be given by a method ///////////////////////////
443 Float_t sigmavx=0.0050; // 50 microns
444 Float_t sigmavy=0.0050; // 50 microns
445 Float_t sigmavz=0.010; // 100 microns
447 //Vx+=gRandom->Gaus(0,sigmavx); Vy+=gRandom->Gaus(0,sigmavy); Vz+=gRandom->Gaus(0,sigmavz);
448 TVector vertex(3), ervertex(3)
449 vertex(0)=Vx; vertex(1)=Vy; vertex(2)=Vz;
450 ervertex(0)=sigmavx; ervertex(1)=sigmavy; ervertex(2)=sigmavz;
451 /////////////////////////////////////////////////////////////////////////////////////////////////
455 TTree tracktree1("TreeT","Tree with ITS tracks");
456 AliITSIOTrack *ioTrack=0;
457 tracktree1.Branch("ITStracks","AliITSIOTrack",&ioTrack,32000,0);
459 ofstream out ("AliITSTra.out");
463 for (j=minTr; j<=maxTr; j++) {
464 track=(AliTPCtrack*)tracks.UncheckedAt(j);
466 if (!track) continue;
467 ////// elimination of not good tracks ////////////
468 Int_t ilab=TMath::Abs(track->GetLabel());
470 for (iii=0;iii<ngood;iii++) {
471 //cout<<" ilab, gt[iii].lab = "<<ilab<<" "<<gt[iii].lab<<"\n"; getchar();
472 if (ilab==gt[iii].lab) {
481 //cout<<" j flaglab = " <<j<<" "<<flaglab<<"\n"; getchar();
482 if (!flaglab) continue;
483 //cout<<" j = " <<j<<"\n"; getchar();
485 ////// propagation to the end of TPC //////////////
487 track->PropagateTo(xk, 28.94, 1.204e-3); //Ne
489 track->PropagateTo(xk, 44.77, 1.71); //Tedlar
491 track->PropagateTo(xk, 44.86, 1.45); //kevlar
493 track->PropagateTo(xk, 41.28, 0.029); //Nomex
495 track->PropagateTo(xk,36.2,1.98e-3); //C02
497 track->PropagateTo(xk, 24.01, 2.7); //Al
499 track->PropagateTo(xk, 44.77, 1.71); //Tedlar
501 track->PropagateTo(xk, 44.86, 1.45); //kevlar
503 track->PropagateTo(xk, 41.28, 0.029); //Nomex
505 ///////////////////////////////////////////////////////////////
508 AliITSTrackV1 trackITS(*track);
510 if(fresult) delete fresult;
511 fresult = new AliITSTrackV1(trackITS);
513 AliITSTrackV1 primaryTrack(trackITS);
517 vgeant=(*fresult).GetVertex();
519 // Definition of dv and zv for vertex constraint
520 Double_t sigmaDv=0.0050; Double_t sigmaZv=0.010;
521 //Double_t sigmaDv=0.0015; Double_t sigmaZv=0.0015;
522 Double_t uniform= gRandom->Uniform();
524 if(uniform<=0.5) signdv=-1.;
528 Double_t vr=TMath::Sqrt(vgeant(0)*vgeant(0)+ vgeant(1)*vgeant(1));
529 Double_t dv=gRandom->Gaus(signdv*vr,(Float_t)sigmaDv);
530 Double_t zv=gRandom->Gaus(vgeant(2),(Float_t)sigmaZv);
532 //cout<<" Dv e Zv = "<<dv<<" "<<zv<<"\n";
533 trackITS.SetDv(dv); trackITS.SetZv(zv);
534 trackITS.SetsigmaDv(sigmaDv); trackITS.SetsigmaZv(sigmaZv);
535 (*fresult).SetDv(dv); (*fresult).SetZv(zv);
536 (*fresult).SetsigmaDv(sigmaDv); (*fresult).SetsigmaZv(sigmaZv);
537 primaryTrack.SetDv(dv); primaryTrack.SetZv(zv);
538 primaryTrack.SetsigmaDv(sigmaDv); primaryTrack.SetsigmaZv(sigmaZv);
540 primaryTrack.PrimaryTrack(frl);
541 TVector d2=primaryTrack.Getd2();
542 TVector tgl2=primaryTrack.Gettgl2();
543 TVector dtgl=primaryTrack.Getdtgl();
544 trackITS.Setd2(d2); trackITS.Settgl2(tgl2); trackITS.Setdtgl(dtgl);
545 (*fresult).Setd2(d2); (*fresult).Settgl2(tgl2); (*fresult).Setdtgl(dtgl);
547 trackITS.SetVertex(vertex); trackITS.SetErrorVertex(ervertex);
548 (*result).SetVertex(vertex); (*result).SetErrorVertex(ervertex);
552 TList *list= new TList();
554 list->AddLast(&trackITS);
556 fPtref=TMath::Abs( (trackITS).GetPt() );
557 //cout << "\n Pt = " << fPtref <<"\n"; //stampa
559 RecursiveTracking(list); // nuova ITS
564 TVector vecTotLabRef(18);
566 for(lay=5; lay>=0; lay--) {
567 TVector vecLabRef(3);
568 vecLabRef=(*fresult).GetLabTrack(lay);
569 Float_t clustZ=(*fresult).GetZclusterTrack( lay);
571 Int_t lpp=(Int_t)vecLabRef(k);
573 TParticle *p=(TParticle*) gAlice->Particle(lpp);
574 Int_t pcode=p->GetPdgCode();
575 if(pcode==11) vecLabRef(k)=p->GetFirstMother();
577 itot++; vecTotLabRef(itot)=vecLabRef(k);
578 if(vecLabRef(k)==0. && clustZ == 0.) vecTotLabRef(itot) =-3.; }
582 (*fresult).Search(vecTotLabRef, labref, freq);
585 //if(freq < 6) labref=-labref; // cinque - sei
586 if(freq < 5) labref=-labref; // cinque - sei
587 (*fresult).SetLabel(labref);
589 // cout<<" progressive track number = "<<j<<"\r";
591 Int_t numOfCluster=(*fresult).GetNumClust();
592 //cout<<" progressive track number = "<<j<<"\n"; // stampa
593 Long_t labITS=(*fresult).GetLabel();
594 //cout << " ITS track label = " << labITS << "\n"; // stampa
595 int lab=track->GetLabel();
596 //cout << " TPC track label = " << lab <<"\n"; // stampa
599 //propagation to vertex
603 (*fresult).Propagation(rbeam);
605 Double_t c00,c10,c11,c20,c21,c22,c30,c31,c32,c33,c40,c41,c42,c43,c44;
606 (*fresult).GetCElements(c00,c10,c11,c20,c21,c22,c30,c31,c32,c33,c40,c41,c42,c43,c44);
608 Double_t pt=TMath::Abs((*fresult).GetPt());
609 Double_t dr=(*fresult).GetD();
610 Double_t z=(*fresult).GetZ();
611 Double_t tgl=(*fresult).GetTgl();
612 Double_t c=(*fresult).GetC();
614 Double_t dz=z-(tgl/cy)*TMath::ASin((*fresult).Arga(rbeam));
617 // cout<<" dr e dz alla fine = "<<dr<<" "<<dz<<"\n"; getchar();
618 Double_t phi=(*fresult).Getphi();
619 Double_t phivertex = phi - TMath::ASin((*fresult).ArgA(rbeam));
620 Double_t duepi=2.*TMath::Pi();
621 if(phivertex>duepi) phivertex-=duepi;
622 if(phivertex<0.) phivertex+=duepi;
623 Double_t dtot=TMath::Sqrt(dr*dr+dz*dz);
625 //////////////////////////////////////////////////////////////////////////////////////////
627 Int_t idmodule,idpoint;
628 if(numOfCluster >=5) { // cinque - sei
629 //if(numOfCluster ==6) { // cinque - sei
632 AliITSIOTrack outTrack;
636 ioTrack->SetStatePhi(phi);
637 ioTrack->SetStateZ(z);
638 ioTrack->SetStateD(dr);
639 ioTrack->SetStateTgl(tgl);
640 ioTrack->SetStateC(c);
641 Double_t radius=(*fresult).Getrtrack();
642 ioTrack->SetRadius(radius);
644 if(c>0.) charge=-1; else charge=1;
645 ioTrack->SetCharge(charge);
649 ioTrack->SetCovMatrix(c00,c10,c11,c20,c21,c22,c30,c31,c32,c33,c40,c41,c42,c43,c44);
651 Double_t px=pt*TMath::Cos(phivertex);
652 Double_t py=pt*TMath::Sin(phivertex);
655 Double_t xtrack=dr*TMath::Sin(phivertex);
656 Double_t ytrack=dr*TMath::Cos(phivertex);
657 Double_t ztrack=dz+vgeant(2);
663 ioTrack->SetX(xtrack);
664 ioTrack->SetY(ytrack);
665 ioTrack->SetZ(ztrack);
666 ioTrack->SetLabel(labITS);
669 for(il=0;il<6; il++){
670 ioTrack->SetIdPoint(il,(*fresult).GetIdPoint(il));
671 ioTrack->SetIdModule(il,(*fresult).GetIdModule(il));
675 //cout<<" labITS = "<<labITS<<"\n";
676 //cout<<" phi z dr tgl c = "<<phi<<" "<<z<<" "<<dr<<" "<<tgl<<" "<<c<<"\n"; getchar();
678 dataOut(kkk) = ptg; kkk++; dataOut(kkk)=labITS; kkk++; dataOut(kkk)=lab; kkk++;
680 for (il=0;il<6;il++) {
681 idpoint=(*fresult).GetIdPoint(il);
682 idmodule=(*fresult).GetIdModule(il);
683 *(fvettid[idmodule]+idpoint)=1;
684 ioTrack->SetIdPoint(il,idpoint);
685 ioTrack->SetIdModule(il,idmodule);
688 //cout<<" +++++++++++++ pt e ptg = "<<pt<<" "<<ptg<<" ++++++++++\n"; getchar();
690 ///////////////////////////////
691 Double_t difpt= (pt-ptg)/ptg*100.;
692 //cout<<" difpt = "<<difpt<<"\n"; getchar();
693 dataOut(kkk)=difpt; kkk++;
694 Double_t lambdag=TMath::ATan(pzg/ptg);
695 Double_t lam=TMath::ATan(tgl);
696 Double_t diflam = (lam - lambdag)*1000.;
697 dataOut(kkk) = diflam; kkk++;
698 Double_t phig=TMath::ATan2(pyg,pxg); if(phig<0) phig=2.*TMath::Pi()+phig;
699 Double_t phi=phivertex;
701 Double_t difphi = (phi - phig)*1000.;
702 dataOut(kkk)=difphi; kkk++;
703 dataOut(kkk)=dtot*1.e4; kkk++;
704 dataOut(kkk)=dr*1.e4; kkk++;
705 dataOut(kkk)=dz*1.e4; kkk++;
707 for (r=0; r<9; r++) { out<<dataOut(r)<<" ";}
712 } // end if on numOfCluster
713 //gObjectTable->Print(); // stampa memoria
714 } // end for (int j=minTr; j<=maxTr; j++)
719 static Bool_t first=kTRUE;
723 tfile=new TFile("itstracks.root","RECREATE");
724 //cout<<"I have opened itstracks.root file "<<endl;
731 sprintf(hname,"TreeT%d",evNumber);
733 tracktree1.Write(hname);
737 TTree *fAli=gAlice->TreeK();
740 if (fAli) fileAli =fAli->GetCurrentFile();
743 ////////////////////////////////////////////////////////////////////////////////////////////////
745 printf("delete vectors\n");
747 if(fvettid) delete [] fvettid;
748 if(fresult) delete fresult;
754 void AliITSTrackerV1::RecursiveTracking(TList *trackITSlist) {
756 /////////////////////// This function perform the recursive tracking in ITS detectors /////////////////////
757 /////////////////////// reference is a pointer to the final best track /////////////////////
758 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
759 // The authors thank Mariana Bondila to have help them to resolve some problems. July-2000
761 //Rlayer[0]=4.; Rlayer[1]=7.; Rlayer[2]=14.9; Rlayer[3]=23.8; Rlayer[4]=39.1; Rlayer[5]=43.6; //vecchio
764 for(index =0; index<trackITSlist->GetSize(); index++) {
765 AliITSTrackV1 *trackITS = (AliITSTrackV1 *) trackITSlist->At(index);
767 if((*trackITS).GetLayer()==7) fresult->SetChi2(10.223e140);
768 // cout <<" Layer inizio = "<<(*trackITS).GetLayer()<<"\n";
769 // cout<<"fvtrack =" <<"\n";
770 // cout << (*trackITS)(0) << " "<<(*trackITS)(1)<<" "<<(*trackITS)(2)<<" "<<(*trackITS)(3)<<" "<<(*trackITS)(4)<<"\n";
771 // cout<< " rtrack = "<<(*trackITS).Getrtrack()<<"\n";
772 // cout<< " Pt = "<<(*trackITS).GetPt()<<"\n";
774 Double_t chi2Now, chi2Ref;
775 if((*trackITS).GetLayer()==1 ) {
776 chi2Now = trackITS->GetChi2();
777 Float_t numClustNow = trackITS->GetNumClust();
778 if(trackITS->GetNumClust()) chi2Now /= (Double_t )trackITS->GetNumClust();
779 chi2Ref = fresult->GetChi2();
780 Float_t numClustRef = fresult->GetNumClust();
781 if(fresult->GetNumClust()) chi2Ref /= (Double_t )fresult->GetNumClust();
782 //cout<<" chi2Now and chi2Ref = "<<chi2Now<<" "<<chi2Ref<<"\n";
783 if( numClustNow > numClustRef ) {*fresult = *trackITS;}
784 if((numClustNow == numClustRef )&& (chi2Now < chi2Ref)) {*fresult = *trackITS;}
787 Float_t numClustNow = trackITS->GetNumClust();
789 chi2Now = trackITS->GetChi2();
790 chi2Now/=numClustNow;
791 //cout<<" chi2Now = "<<chi2Now<<"\n";
793 // if(Ptref > 0.6 && chi2Now > 20.) continue;
794 if(Ptref > 0.6 && chi2Now > 30.) continue;
795 if((Ptref <= 0.6 && Ptref>0.2)&& chi2Now > 15.) continue;
796 // if(chi2Now>5.) continue;
797 //if(chi2Now>15.) continue;
798 // if(Ptref <= 0.2 && chi2Now > 10.) continue;
799 if(Ptref <= 0.2 && chi2Now > 8.) continue;
801 if(fPtref > 1.0 && chi2Now > 30.) continue;
802 if((fPtref >= 0.6 && fPtref<=1.0) && chi2Now > 40.) continue;
803 if((fPtref <= 0.6 && fPtref>0.2)&& chi2Now > 40.) continue;
804 if(fPtref <= 0.2 && chi2Now > 8.) continue;
807 Int_t layerInit = (*trackITS).GetLayer();
808 Int_t layernew = layerInit - 2; // -1 for new layer, -1 for matrix index
811 Int_t ladp, ladm, detp,detm,ladinters,detinters;
812 Int_t layerfin=layerInit-1;
813 //Double_t rFin=fAvrad[layerfin-1];
814 // cout<<"Prima di intersection \n";
816 //if(!fTimerIntersection) fTimerIntersection = new TStopwatch(); // timer
817 //fTimerIntersection->Continue(); // timer
818 Int_t outinters=Intersection(*trackITS, layerfin, ladinters, detinters);
819 //fTimerIntersection->Stop(); // timer
821 // cout<<" outinters = "<<outinters<<"\n";
822 // cout<<" Layer ladder detector intersection ="<<layerfin<<" "<<ladinters<<" "<<detinters<<"\n";
823 // cout << " phiinters zinters = "<<(*trackITS)(0) << " "<<(*trackITS)(1)<<"\n"; getchar();
825 if(outinters==-1) continue;
829 TVector toucLad(9), toucDet(9);
830 Int_t lycur=layerfin;
833 if(ladm <= 0) ladm=fNlad[layerfin-1];
834 if(ladp > fNlad[layerfin-1]) ladp=1;
838 toucLad(0)=ladinters; toucLad(1)=ladm; toucLad(2)=ladp;
839 toucLad(3)=ladinters; toucLad(4)=ladm; toucLad(5)=ladp;
840 toucLad(6)=ladinters; toucLad(7)=ladm; toucLad(8)=ladp;
841 toucDet(0)=detinters; toucDet(1)=detinters; toucDet(2)=detinters;
842 if(detm > 0 && detp <= fNdet[layerfin-1]) {
844 toucDet(3)=detm; toucDet(4)=detm; toucDet(5)=detm;
845 toucDet(6)=detp; toucDet(7)=detp; toucDet(8)=detp;
848 if(detm > 0 && detp > fNdet[layerfin-1]) {
850 toucDet(3)=detm; toucDet(4)=detm; toucDet(5)=detm;
853 if(detm <= 0 && detp <= fNdet[layerfin-1]) {
855 toucDet(3)=detp; toucDet(4)=detp; toucDet(5)=detp;
858 for (iriv=0; iriv<idetot; iriv++) { //for on detectors
859 //AliITSgeom *g1 = aliITS->GetITSgeom(); //vvecchia
860 AliITSgeom *g1 = fITS->GetITSgeom(); //nnuova
862 g1->GetCenterThetaPhi(layerInit-1,(Int_t)toucLad(iriv),(Int_t)toucDet(iriv),ctf);
864 // cout<<" layer, ladder, det, xo, yo, zo = "<<layerInit-1<<" "<<(Int_t)toucLad(iriv)<<
865 // " "<<(Int_t)toucDet(iriv)<<" "<<ctf(0)<<" "<<ctf(1)<<" "<<ctf(2)<< " "<<ctf(6)<<"\n"; getchar();
867 ////////////////////////////////////////////////////////////////////////////////////////////////
869 /*** Rec points sorted by module *****/
870 /**************************************/
873 AliITSRecPoint *recp;
874 //AliITSgeom *geom = aliITS->GetITSgeom(); //vvecchia
875 AliITSgeom *geom = fITS->GetITSgeom(); //nnuova
876 index = geom->GetModuleIndex(lycur,toucLad(iriv),toucDet(iriv));
878 geom->GetModuleId(index,lay,lad,det);
879 //aliITS->ResetRecPoints(); //vvecchia
880 fITS->ResetRecPoints(); //nnuova
881 //gAlice->TreeR()->GetEvent(index+1); //first entry in TreeR is empty
882 gAlice->TreeR()->GetEvent(index); //first entry in TreeR is empty
884 Int_t npoints=frecPoints->GetEntries();
885 Int_t *indlist=new Int_t[npoints+1];
888 for (ind=0; ind<=npoints; ind++) {
890 if (*(fvettid[index]+ind)==0) {
891 indlist[counter]=ind;
900 if(indlist[ind] < 0) recp=0;
901 else recp = (AliITSRecPoint*)frecPoints->UncheckedAt(indlist[ind]);
904 TVector cluster(3),vecclust(9);
905 vecclust(6)=vecclust(7)=vecclust(8)=-1.;
907 // set veclust in global
908 Float_t global[3], local[3];
909 local[0]=recp->GetX();
911 local[2]= recp->GetZ();
912 //AliITSgeom *g1 = aliITS->GetITSgeom(); //vvecchia
913 AliITSgeom *g1 = fITS->GetITSgeom(); //nnuova
915 Int_t plad = TMath::Nint(toucLad(iriv));
916 Int_t pdet = TMath::Nint(toucDet(iriv));
917 g1->LtoG(play,plad,pdet,local,global);
919 vecclust(0)=global[0];
920 vecclust(1)=global[1];
921 vecclust(2)=global[2];
924 vecclust(3) = (float)recp->fTracks[0];
925 vecclust(4) = (float)indlist[ind];
926 vecclust(5) = (float)index;
927 vecclust(6) = (float)recp->fTracks[0];
928 vecclust(7) = (float)recp->fTracks[1];
929 vecclust(8) = (float)recp->fTracks[2];
931 sigma[0] = (Double_t) recp->GetSigmaX2();
932 sigma[1] = (Double_t) recp->GetSigmaZ2();
934 //now we are in r,phi,z in global
935 cluster(0) = TMath::Sqrt(vecclust(0)*vecclust(0)+vecclust(1)*vecclust(1));//r hit
936 // cluster(1) = PhiDef(vecclust(0),vecclust(1)); // phi hit //vecchio
937 cluster(1) = TMath::ATan2(vecclust(1),vecclust(0)); if(cluster(1)<0.) cluster(1)+=2.*TMath::Pi(); //nuovo
938 cluster(2) = vecclust(2); // z hit
940 // cout<<" layer = "<<play<<"\n";
941 // cout<<" cluster prima = "<<vecclust(0)<<" "<<vecclust(1)<<" "
942 // <<vecclust(2)<<"\n"; getchar();
943 //cluster(1)= cluster(1)-trackITS->Getalphaprov(); //provvisorio;
944 //if(cluster(1)<0.) cluster(1)+=2.*TMath::Pi(); //provvisorio
945 //cout<<" cluster(1) dopo = "<<cluster(1)<< " alphaprov = "<<trackITS->Getalphaprov()<<"\n";
946 Float_t sigmatotphi, sigmatotz;
948 //Float_t epsphi=3.2, epsz=3.;
949 Float_t epsphi=5.0, epsz=5.0;
950 if(fPtref<0.2) {epsphi=3.; epsz=3.;}
952 Double_t rTrack=(*trackITS).Getrtrack();
953 Double_t sigmaphi=sigma[0]/(rTrack*rTrack);
954 sigmatotphi=epsphi*TMath::Sqrt(sigmaphi + (*trackITS).GetSigmaphi());
956 sigmatotz=epsz*TMath::Sqrt(sigma[1] + (*trackITS).GetSigmaZ());
957 //cout<<"cluster e sigmatotphi e track = "<<cluster(0)<<" "<<cluster(1)<<" "<<sigmatotphi<<" "<<vecclust(3)<<"\n";
958 //if(vecclust(3)==481) getchar();
959 if(cluster(1)<6. && (*trackITS).Getphi()>6.) cluster(1)=cluster(1)+(2.*TMath::Pi());
960 if(cluster(1)>6. && (*trackITS).Getphi()<6.) cluster(1)=cluster(1)-(2.*TMath::Pi());
961 if(TMath::Abs(cluster(1)-(*trackITS).Getphi()) > sigmatotphi) continue;
962 // cout<<" supero sigmaphi \n";
963 AliITSTrackV1 *newTrack = new AliITSTrackV1((*trackITS));
964 (*newTrack).SetLayer((*trackITS).GetLayer()-1);
966 if (TMath::Abs(rTrack-cluster(0))/rTrack>1e-6)
967 (*newTrack).Correct(Double_t(cluster(0)));
968 //cout<<" cluster(2) e (*newTrack).GetZ() = "<<cluster(2)<<" "<< (*newTrack).GetZ()<<"\n";
969 if(TMath::Abs(cluster(2)-(*newTrack).GetZ()) > sigmatotz){
973 if(iriv == 0) flaghit=1;
975 (*newTrack).AddMS(frl); // add the multiple scattering matrix to the covariance matrix
976 (*newTrack).AddEL(frl,1.,0);
978 Double_t sigmanew[2];
979 sigmanew[0]= sigmaphi;
980 sigmanew[1]=sigma[1];
982 //if(!fTimerKalman) fTimerKalman = new TStopwatch(); // timer
983 //fTimerKalman->Continue(); // timer // timer
985 KalmanFilterVert(newTrack,cluster,sigmanew);
988 KalmanFilter(newTrack,cluster,sigmanew);
990 //fTimerKalman->Stop(); // timer
993 (*newTrack).PutCluster(layernew, vecclust);
994 newTrack->AddClustInTrack();
996 listoftrack.AddLast(newTrack);
998 } // end of for(;;) on rec points
1002 } // end of for on detectors
1004 }//end if(outinters==0)
1006 if(flaghit==0 || outinters==-2) {
1007 AliITSTrackV1 *newTrack = new AliITSTrackV1(*trackITS);
1008 (*newTrack).SetLayer((*trackITS).GetLayer()-1);
1009 (*newTrack).AddMS(frl); // add the multiple scattering matrix to the covariance matrix
1010 (*newTrack).AddEL(frl,1.,0);
1012 listoftrack.AddLast(newTrack);
1016 //gObjectTable->Print(); // stampa memoria
1018 RecursiveTracking(&listoftrack);
1019 listoftrack.Delete();
1020 } // end of for on tracks
1022 //gObjectTable->Print(); // stampa memoria
1026 Int_t AliITSTrackerV1::Intersection(AliITSTrackV1 &track, Int_t layer, Int_t &ladder, Int_t &detector) {
1027 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
1028 // Found the intersection and the detector
1030 Double_t rk=fAvrad[layer-1];
1031 if(track.DoNotCross(rk)){ /*cout<< " Do not cross \n";*/ return -1;}
1032 track.Propagation(rk);
1033 Double_t zinters=track.GetZ();
1034 Double_t phinters=track.Getphi();
1035 //cout<<"zinters = "<<zinters<<" phinters = "<<phinters<<"\n";
1039 TVector distZCenter(2);
1040 //AliITSgeom *g1 = ((AliITS*)gAlice->GetDetector("ITS"))->GetITSgeom();
1045 for(iD = 1; iD<= fNdet[layer-1]; iD++) {
1046 if(zinters > fzmin[layer-1][iD-1] && zinters <= fzmax[layer-1][iD-1]) {
1048 cout<< " Errore su iz in Intersection \n"; getchar();
1051 listDet(iz)= iD; distZCenter(iz)=TMath::Abs(zinters-det(2)); iz++;
1056 if(iz==0) {/* cout<< " No detector along Z \n";*/ return -2;}
1057 detector=Int_t (listDet(0));
1058 if(iz>1 && (distZCenter(0)>distZCenter(1))) detector=Int_t (listDet(1));
1061 TVector distPhiCenter(2);
1063 Double_t pigre=TMath::Pi();
1066 for(iLd = 1; iLd<= fNlad[layer-1]; iLd++) {
1067 Double_t phimin=fphimin[layer-1][iLd-1];
1068 Double_t phimax=fphimax[layer-1][iLd-1];
1069 Double_t phidet=fphidet[layer-1][iLd-1];
1070 Double_t phiconfr=phinters;
1072 //if(phimin <5.5) {cout<<" Error in Intersection for phi \n"; getchar();}
1074 if(phinters>(1.5*pigre)) phiconfr=phinters-(2.*pigre);
1075 if(phidet>(1.5*pigre)) phidet-=(2.*pigre);
1077 if(phiconfr>phimin && phiconfr<= phimax) {
1079 cout<< " Errore su ip in Intersection \n"; getchar();
1082 listLad(ip)= iLd; distPhiCenter(ip)=TMath::Abs(phiconfr-phidet); ip++;
1086 if(ip==0) { cout<< " No detector along phi \n"; getchar();}
1087 ladder=Int_t (listLad(0));
1088 if(ip>1 && (distPhiCenter(0)>distPhiCenter(1))) ladder=Int_t (listLad(1));
1093 void AliITSTrackerV1::KalmanFilter(AliITSTrackV1 *newTrack,TVector &cluster,Double_t sigma[2]){
1094 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
1095 // Kalman filter without vertex constraint
1098 ////////////////////////////// Evaluation of the measurement vector /////////////////////////////////////
1101 Double_t rk,phik,zk;
1102 rk=cluster(0); phik=cluster(1); zk=cluster(2);
1105 ///////////////////////////////////// Evaluation of the error matrix V ///////////////////////////////
1107 Double_t v00=sigma[0];
1108 Double_t v11=sigma[1];
1110 ///////////////////////////////////////////////////////////////////////////////////////////
1113 Double_t cin00,cin10,cin20,cin30,cin40,cin11,cin21,cin31,cin41,cin22,cin32,cin42,cin33,cin43,cin44;
1115 newTrack->GetCElements(cin00,cin10,cin11,cin20,cin21,cin22,cin30,cin31,cin32,cin33,cin40,
1116 cin41,cin42,cin43,cin44); //get C matrix
1118 Double_t rold00=cin00+v00;
1119 Double_t rold10=cin10;
1120 Double_t rold11=cin11+v11;
1122 //////////////////////////////////// R matrix inversion ///////////////////////////////////////////////
1124 Double_t det=rold00*rold11-rold10*rold10;
1125 Double_t r00=rold11/det;
1126 Double_t r10=-rold10/det;
1127 Double_t r11=rold00/det;
1129 ////////////////////////////////////////////////////////////////////////////////////////////////////////
1131 Double_t k00=cin00*r00+cin10*r10;
1132 Double_t k01=cin00*r10+cin10*r11;
1133 Double_t k10=cin10*r00+cin11*r10;
1134 Double_t k11=cin10*r10+cin11*r11;
1135 Double_t k20=cin20*r00+cin21*r10;
1136 Double_t k21=cin20*r10+cin21*r11;
1137 Double_t k30=cin30*r00+cin31*r10;
1138 Double_t k31=cin30*r10+cin31*r11;
1139 Double_t k40=cin40*r00+cin41*r10;
1140 Double_t k41=cin40*r10+cin41*r11;
1142 Double_t x0,x1,x2,x3,x4;
1143 newTrack->GetXElements(x0,x1,x2,x3,x4); // get the state vector
1145 Double_t savex0=x0, savex1=x1;
1147 x0+=k00*(m[0]-savex0)+k01*(m[1]-savex1);
1148 x1+=k10*(m[0]-savex0)+k11*(m[1]-savex1);
1149 x2+=k20*(m[0]-savex0)+k21*(m[1]-savex1);
1150 x3+=k30*(m[0]-savex0)+k31*(m[1]-savex1);
1151 x4+=k40*(m[0]-savex0)+k41*(m[1]-savex1);
1153 Double_t c00,c10,c20,c30,c40,c11,c21,c31,c41,c22,c32,c42,c33,c43,c44;
1155 c00=cin00-k00*cin00-k01*cin10;
1156 c10=cin10-k00*cin10-k01*cin11;
1157 c20=cin20-k00*cin20-k01*cin21;
1158 c30=cin30-k00*cin30-k01*cin31;
1159 c40=cin40-k00*cin40-k01*cin41;
1161 c11=cin11-k10*cin10-k11*cin11;
1162 c21=cin21-k10*cin20-k11*cin21;
1163 c31=cin31-k10*cin30-k11*cin31;
1164 c41=cin41-k10*cin40-k11*cin41;
1166 c22=cin22-k20*cin20-k21*cin21;
1167 c32=cin32-k20*cin30-k21*cin31;
1168 c42=cin42-k20*cin40-k21*cin41;
1170 c33=cin33-k30*cin30-k31*cin31;
1171 c43=cin43-k30*cin40-k31*cin41;
1173 c44=cin44-k40*cin40-k41*cin41;
1175 newTrack->PutXElements(x0,x1,x2,x3,x4); // put the new state vector
1177 newTrack->PutCElements(c00,c10,c11,c20,c21,c22,c30,c31,c32,c33,c40,c41,c42,c43,c44); // put in track the
1179 Double_t vmcold00=v00-c00;
1180 Double_t vmcold10=-c10;
1181 Double_t vmcold11=v11-c11;
1183 ///////////////////////////////////// Matrix vmc inversion ////////////////////////////////////////////////
1185 det=vmcold00*vmcold11-vmcold10*vmcold10;
1186 Double_t vmc00=vmcold11/det;
1187 Double_t vmc10=-vmcold10/det;
1188 Double_t vmc11=vmcold00/det;
1190 ////////////////////////////////////////////////////////////////////////////////////////////////////////////
1192 Double_t chi2=(m[0]-x0)*( vmc00*(m[0]-x0) + 2.*vmc10*(m[1]-x1) ) +
1193 (m[1]-x1)*vmc11*(m[1]-x1);
1195 newTrack->SetChi2(newTrack->GetChi2()+chi2);
1200 void AliITSTrackerV1::KalmanFilterVert(AliITSTrackV1 *newTrack,TVector &cluster,Double_t sigma[2]){
1201 //Origin A. Badala' and G.S. Pappalardo: e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
1202 // Kalman filter with vertex constraint
1204 ////////////////////////////// Evaluation of the measurement vector m ///////////////
1207 Double_t rk,phik,zk;
1208 rk=cluster(0); phik=cluster(1); zk=cluster(2);
1211 Double_t cc=(*newTrack).GetC();
1212 Double_t zv=(*newTrack).GetZv();
1213 Double_t dv=(*newTrack).GetDv();
1215 Double_t tgl= (zk-zv)*cy/TMath::ASin(cy*rk);
1218 ///////////////////////////////////// Evaluation of the error matrix V //////////////
1219 Int_t layer=newTrack->GetLayer();
1220 Double_t v00=sigma[0];
1221 Double_t v11=sigma[1];
1222 Double_t v31=sigma[1]/rk;
1223 Double_t sigmaDv=newTrack->GetsigmaDv();
1224 Double_t v22=sigmaDv*sigmaDv + newTrack->Getd2(layer-1);
1225 Double_t v32=newTrack->Getdtgl(layer-1);
1226 Double_t sigmaZv=newTrack->GetsigmaZv();
1227 Double_t v33=(sigma[1]+sigmaZv*sigmaZv)/(rk*rk) + newTrack->Gettgl2(layer-1);
1228 ///////////////////////////////////////////////////////////////////////////////////////
1230 Double_t cin00,cin10,cin11,cin20,cin21,cin22,cin30,cin31,cin32,cin33,cin40,cin41,cin42,cin43,cin44;
1232 newTrack->GetCElements(cin00,cin10,cin11,cin20,cin21,cin22,cin30,cin31,cin32,cin33,cin40,
1233 cin41,cin42,cin43,cin44); //get C matrix
1242 r[3][1]=cin31+sigma[1]/rk;
1243 r[2][2]=cin22+sigmaDv*sigmaDv+newTrack->Getd2(layer-1);
1244 r[3][2]=cin32+newTrack->Getdtgl(layer-1);
1245 r[3][3]=cin33+(sigma[1]+sigmaZv*sigmaZv)/(rk*rk) + newTrack->Gettgl2(layer-1);
1247 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];
1250 ///////////////////// Matrix R inversion ////////////////////////////////////////////
1255 Int_t ll[kn],mm[kn];
1259 for(k=0; k<kn; k++) {
1263 for(j=k; j<kn ; j++) {
1264 for (i=j; i<kn; i++) {
1265 if(TMath::Abs(big) < TMath::Abs(r[i][j]) ) { big=r[i][j]; ll[k]=i; mm[k]=j; }
1271 for(i=0; i<kn; i++) { hold=-r[k][i]; r[k][i]=r[j][i]; r[j][i]=hold; }
1277 for(j=0; j<kn; j++) { hold=-r[j][k]; r[j][k]=r[j][i]; r[j][i]=hold; }
1282 cout << "Singular matrix\n";
1284 for(i=0; i<kn; i++) {
1285 if(i == k) { continue; }
1286 r[i][k]=r[i][k]/(-big);
1289 for(i=0; i<kn; i++) {
1291 for(j=0; j<kn; j++) {
1292 if(i == k || j == k) { continue; }
1293 r[i][j]=hold*r[k][j]+r[i][j];
1297 for(j=0; j<kn; j++) {
1298 if(j == k) { continue; }
1299 r[k][j]=r[k][j]/big;
1307 for(k=kn-1; k>=0; k--) {
1310 for (j=0; j<kn; j++) {hold=r[j][k]; r[j][k]=-r[j][i]; r[j][i]=hold;}
1314 for (i=0; i<kn; i++) {hold=r[k][i]; r[k][i]=-r[j][i]; r[j][i]=hold;}
1317 //////////////////////////////////////////////////////////////////////////////////
1320 Double_t k00=cin00*r[0][0]+cin10*r[1][0]+cin20*r[2][0]+cin30*r[3][0];
1321 Double_t k01=cin00*r[1][0]+cin10*r[1][1]+cin20*r[2][1]+cin30*r[3][1];
1322 Double_t k02=cin00*r[2][0]+cin10*r[2][1]+cin20*r[2][2]+cin30*r[3][2];
1323 Double_t k03=cin00*r[3][0]+cin10*r[3][1]+cin20*r[3][2]+cin30*r[3][3];
1324 Double_t k10=cin10*r[0][0]+cin11*r[1][0]+cin21*r[2][0]+cin31*r[3][0];
1325 Double_t k11=cin10*r[1][0]+cin11*r[1][1]+cin21*r[2][1]+cin31*r[3][1];
1326 Double_t k12=cin10*r[2][0]+cin11*r[2][1]+cin21*r[2][2]+cin31*r[3][2];
1327 Double_t k13=cin10*r[3][0]+cin11*r[3][1]+cin21*r[3][2]+cin31*r[3][3];
1328 Double_t k20=cin20*r[0][0]+cin21*r[1][0]+cin22*r[2][0]+cin32*r[3][0];
1329 Double_t k21=cin20*r[1][0]+cin21*r[1][1]+cin22*r[2][1]+cin32*r[3][1];
1330 Double_t k22=cin20*r[2][0]+cin21*r[2][1]+cin22*r[2][2]+cin32*r[3][2];
1331 Double_t k23=cin20*r[3][0]+cin21*r[3][1]+cin22*r[3][2]+cin32*r[3][3];
1332 Double_t k30=cin30*r[0][0]+cin31*r[1][0]+cin32*r[2][0]+cin33*r[3][0];
1333 Double_t k31=cin30*r[1][0]+cin31*r[1][1]+cin32*r[2][1]+cin33*r[3][1];
1334 Double_t k32=cin30*r[2][0]+cin31*r[2][1]+cin32*r[2][2]+cin33*r[3][2];
1335 Double_t k33=cin30*r[3][0]+cin31*r[3][1]+cin32*r[3][2]+cin33*r[3][3];
1336 Double_t k40=cin40*r[0][0]+cin41*r[1][0]+cin42*r[2][0]+cin43*r[3][0];
1337 Double_t k41=cin40*r[1][0]+cin41*r[1][1]+cin42*r[2][1]+cin43*r[3][1];
1338 Double_t k42=cin40*r[2][0]+cin41*r[2][1]+cin42*r[2][2]+cin43*r[3][2];
1339 Double_t k43=cin40*r[3][0]+cin41*r[3][1]+cin42*r[3][2]+cin43*r[3][3];
1341 Double_t x0,x1,x2,x3,x4;
1342 newTrack->GetXElements(x0,x1,x2,x3,x4); // get the state vector
1344 Double_t savex0=x0, savex1=x1, savex2=x2, savex3=x3;
1346 x0+=k00*(m[0]-savex0)+k01*(m[1]-savex1)+k02*(m[2]-savex2)+
1348 x1+=k10*(m[0]-savex0)+k11*(m[1]-savex1)+k12*(m[2]-savex2)+
1350 x2+=k20*(m[0]-savex0)+k21*(m[1]-savex1)+k22*(m[2]-savex2)+
1352 x3+=k30*(m[0]-savex0)+k31*(m[1]-savex1)+k32*(m[2]-savex2)+
1354 x4+=k40*(m[0]-savex0)+k41*(m[1]-savex1)+k42*(m[2]-savex2)+
1357 Double_t c00,c10,c20,c30,c40,c11,c21,c31,c41,c22,c32,c42,c33,c43,c44;
1359 c00=cin00-k00*cin00-k01*cin10-k02*cin20-k03*cin30;
1360 c10=cin10-k00*cin10-k01*cin11-k02*cin21-k03*cin31;
1361 c20=cin20-k00*cin20-k01*cin21-k02*cin22-k03*cin32;
1362 c30=cin30-k00*cin30-k01*cin31-k02*cin32-k03*cin33;
1363 c40=cin40-k00*cin40-k01*cin41-k02*cin42-k03*cin43;
1365 c11=cin11-k10*cin10-k11*cin11-k12*cin21-k13*cin31;
1366 c21=cin21-k10*cin20-k11*cin21-k12*cin22-k13*cin32;
1367 c31=cin31-k10*cin30-k11*cin31-k12*cin32-k13*cin33;
1368 c41=cin41-k10*cin40-k11*cin41-k12*cin42-k13*cin43;
1370 c22=cin22-k20*cin20-k21*cin21-k22*cin22-k23*cin32;
1371 c32=cin32-k20*cin30-k21*cin31-k22*cin32-k23*cin33;
1372 c42=cin42-k20*cin40-k21*cin41-k22*cin42-k23*cin43;
1374 c33=cin33-k30*cin30-k31*cin31-k32*cin32-k33*cin33;
1375 c43=cin43-k30*cin40-k31*cin41-k32*cin42-k33*cin43;
1377 c44=cin44-k40*cin40-k41*cin41-k42*cin42-k43*cin43;
1379 newTrack->PutXElements(x0,x1,x2,x3,x4); // put the new state vector
1381 newTrack->PutCElements(c00,c10,c11,c20,c21,c22,c30,c31,c32,c33,c40,c41,c42,c43,c44); // put in track the
1386 vmc[0][0]=v00-c00; vmc[1][0]=-c10; vmc[2][0]=-c20; vmc[3][0]=-c30;
1387 vmc[1][1]=v11-c11; vmc[2][1]=-c21; vmc[3][1]=v31-c31;
1388 vmc[2][2]=v22-c22; vmc[3][2]=v32-c32;
1391 vmc[0][1]=vmc[1][0]; vmc[0][2]=vmc[2][0]; vmc[0][3]=vmc[3][0];
1392 vmc[1][2]=vmc[2][1]; vmc[1][3]=vmc[3][1];
1393 vmc[2][3]=vmc[3][2];
1396 /////////////////////// vmc matrix inversion ///////////////////////////////////
1400 for(k=0; k<kn; k++) {
1404 for(j=k; j<kn ; j++) {
1405 for (i=j; i<kn; i++) {
1406 if(TMath::Abs(big) < TMath::Abs(vmc[i][j]) ) { big=vmc[i][j]; ll[k]=i; mm[k]=j; }
1412 for(i=0; i<kn; i++) { hold=-vmc[k][i]; vmc[k][i]=vmc[j][i]; vmc[j][i]=hold; }
1418 for(j=0; j<kn; j++) { hold=-vmc[j][k]; vmc[j][k]=vmc[j][i]; vmc[j][i]=hold; }
1423 cout << "Singular matrix\n";
1425 for(i=0; i<kn; i++) {
1426 if(i == k) { continue; }
1427 vmc[i][k]=vmc[i][k]/(-big);
1430 for(i=0; i<kn; i++) {
1432 for(j=0; j<kn; j++) {
1433 if(i == k || j == k) { continue; }
1434 vmc[i][j]=hold*vmc[k][j]+vmc[i][j];
1438 for(j=0; j<kn; j++) {
1439 if(j == k) { continue; }
1440 vmc[k][j]=vmc[k][j]/big;
1448 for(k=kn-1; k>=0; k--) {
1451 for (j=0; j<kn; j++) {hold=vmc[j][k]; vmc[j][k]=-vmc[j][i]; vmc[j][i]=hold;}
1455 for (i=0; i<kn; i++) {hold=vmc[k][i]; vmc[k][i]=-vmc[j][i]; vmc[j][i]=hold;}
1460 ////////////////////////////////////////////////////////////////////////////////
1462 Double_t chi2=(m[0]-x0)*( vmc[0][0]*(m[0]-x0) + 2.*vmc[1][0]*(m[1]-x1) +
1463 2.*vmc[2][0]*(m[2]-x2)+ 2.*vmc[3][0]*(m[3]-x3) ) +
1464 (m[1]-x1)* ( vmc[1][1]*(m[1]-x1) + 2.*vmc[2][1]*(m[2]-x2)+
1465 2.*vmc[3][1]*(m[3]-x3) ) +
1466 (m[2]-x2)* ( vmc[2][2]*(m[2]-x2)+ 2.*vmc[3][2]*(m[3]-x3) ) +
1467 (m[3]-x3)*vmc[3][3]*(m[3]-x3);
1469 newTrack->SetChi2(newTrack->GetChi2()+chi2);