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1 /**************************************************************************
2  * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
3  *                                                                        *
4  * Author: The ALICE Off-line Project.                                    *
5  * Contributors are mentioned in the code where appropriate.              *
6  *                                                                        *
7  * Permission to use, copy, modify and distribute this software and its   *
8  * documentation strictly for non-commercial purposes is hereby granted   *
9  * without fee, provided that the above copyright notice appears in all   *
10  * copies and that both the copyright notice and this permission notice   *
11  * appear in the supporting documentation. The authors make no claims     *
12  * about the suitability of this software for any purpose. It is          *
13  * provided "as is" without express or implied warranty.                  *
14  **************************************************************************/
15  
16 /*
17 $Log$
18 Revision 1.10.2.1  2001/10/24 07:26:04  hristov
19 All the changes from the head are merged with the release
20
21 Revision 1.14  2001/10/24 07:19:57  hristov
22 Some pointer correctly initialised in one of the constructors
23
24 Revision 1.13  2001/10/21 19:17:12  hristov
25 Several pointers were set to zero in the default constructors to avoid memory management problems
26
27 Revision 1.12  2001/10/19 21:32:35  nilsen
28 Minor changes to remove compliation warning on gcc 2.92.2 compiler, and
29 cleanded up a little bit of code.
30
31 */
32 //     The purpose of this class is to permorm the ITS tracking. The 
33 // constructor has the task to inizialize some private members. The method 
34 // DoTracking is written to be called by a macro. It gets the event number,
35 // the minimum and maximum order number of TPC tracks that are to be tracked
36 // trough the ITS, and the file where the recpoints are registered. The 
37 // method Recursivetracking is a recursive function that performs the 
38 // tracking trough the ITS The method Intersection found the layer, ladder 
39 // and detector whre the intersection take place and caluclate the 
40 // cohordinates of this intersection. It returns an integer that is 0 if the 
41 // intersection has been found successfully. The two mwthods Kalmanfilter 
42 // and kalmanfiltervert operate the kalmanfilter without and with the vertex
43 // imposition respectively. The authors thank Mariana Bondila to have help 
44 // them to resolve some problems.  July-2000
45
46 #include <fstream.h>
47 #include <TMath.h>
48 #include <TBranch.h>
49 #include <TVector.h>
50 #include <TFile.h>
51 #include <TTree.h>
52 #include <TStopwatch.h>
53
54 #include "TParticle.h"
55 #include "AliRun.h"
56 #include "AliITS.h"
57 #include "AliITSsegmentationSSD.h"
58 #include "AliITSgeomSPD.h"
59 #include "AliITSgeomSDD.h"
60 #include "AliITSgeomSSD.h"
61 #include "AliITSgeom.h"
62 #include "AliITSRecPoint.h"
63 #include "stdlib.h"
64 #include "AliKalmanTrack.h" 
65 #include "AliMagF.h"
66 #include "AliITSTrackV1.h"
67 #include "AliITSIOTrack.h"
68 #include "AliITSRad.h"   
69 #include "../TPC/AliTPCtracker.h"
70 #include "AliITSTrackerV1.h"
71 #include "AliITSVertex.h"
72
73 ClassImp(AliITSTrackerV1)
74  //______________________________________________________________________
75 AliITSTrackerV1::AliITSTrackerV1() {
76   //Default constructor
77   fITS = 0;
78   fresult = 0;
79   frecPoints = 0;
80   fvettid = 0;
81   frl = 0;
82   fzmin = 0;
83   fzmax = 0;
84   fphimin = 0;
85   fphimax = 0;
86   fphidet = 0;
87 }
88 //______________________________________________________________________
89 AliITSTrackerV1::AliITSTrackerV1(AliITS* IITTSS, Bool_t flag) {
90     //Origin   A. Badala' and G.S. Pappalardo:  
91     // e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
92     // Class constructor. It does some initializations.
93
94   //PH Initialisation taken from the default constructor
95     fITS      = IITTSS;
96     fresult = 0;
97     frecPoints = 0;
98     fvettid = 0;
99     frl = 0;
100     fzmin = 0;
101     fzmax = 0;
102     fphimin = 0;
103     fphimax = 0;
104     fphidet = 0;
105
106     fPtref    = 0.;
107     fChi2max  =0.;     
108     fflagvert =flag;
109     Int_t imax = 200,jmax = 450;
110     frl       = new AliITSRad(imax,jmax);
111
112     //////////  gets information on geometry /////////////////////////////
113     AliITSgeom *g1 = ((AliITS*)gAlice->GetDetector("ITS"))->GetITSgeom();
114     // Why not AliITS *g1 = fITS->GetITSgeom(); // ?? BSN
115     Int_t ll=1, dd=1;
116     TVector det(9);
117
118     //cout<<" nlad ed ndet \n";
119     Int_t ia;
120     for(ia=0; ia<6; ia++) {
121         fNlad[ia]=g1->GetNladders(ia+1);
122         fNdet[ia]=g1->GetNdetectors(ia+1);
123         //cout<<fNlad[i]<<" "<<fNdet[i]<<"\n"; 
124     } // end for ia
125     //getchar();
126
127     //cout<<" raggio medio = ";
128     Int_t ib;
129     for(ib=0; ib<6; ib++) {  
130         g1->GetCenterThetaPhi(ib+1,ll,dd,det);
131         Double_t r1=TMath::Sqrt(det(0)*det(0)+det(1)*det(1));
132         g1->GetCenterThetaPhi(ib+1,ll,dd+1,det);
133         Double_t r2=TMath::Sqrt(det(0)*det(0)+det(1)*det(1));
134         fAvrad[ib]=(r1+r2)/2.;
135         //cout<<fAvrad[ib]<<" ";
136     } // end for ib
137     //cout<<"\n"; getchar();
138
139     fDetx[0] = ((AliITSgeomSPD*)(g1->GetShape(1, ll, dd)))->GetDx();
140     fDetz[0] = ((AliITSgeomSPD*)(g1->GetShape(1, ll, dd)))->GetDz();
141
142     fDetx[1] = ((AliITSgeomSPD*)(g1->GetShape(2, ll, dd)))->GetDx();
143     fDetz[1] = ((AliITSgeomSPD*)(g1->GetShape(2, ll, dd)))->GetDz();
144
145     fDetx[2] = ((AliITSgeomSDD*)(g1->GetShape(3, ll, dd)))->GetDx();
146     fDetz[2] = ((AliITSgeomSDD*)(g1->GetShape(3, ll, dd)))->GetDz();
147
148     fDetx[3] = ((AliITSgeomSDD*)(g1->GetShape(4, ll, dd)))->GetDx();
149     fDetz[3] = ((AliITSgeomSDD*)(g1->GetShape(4, ll, dd)))->GetDz();
150
151     fDetx[4] = ((AliITSgeomSSD*)(g1->GetShape(5, ll, dd)))->GetDx();
152     fDetz[4] = ((AliITSgeomSSD*)(g1->GetShape(5, ll, dd)))->GetDz();
153
154     fDetx[5] = ((AliITSgeomSSD*)(g1->GetShape(6, ll, dd)))->GetDx();
155     fDetz[5] = ((AliITSgeomSSD*)(g1->GetShape(6, ll, dd)))->GetDz();
156     //cout<<"    Detx     Detz\n";
157     //for(Int_t la=0; la<6; la++) cout<<"    "<<fDetx[la]<<"     "<<
158     //                                 fDetz[la]<<endl;
159     //getchar();
160     // allocate memory and define matrices fzmin, fzmax, fphimin and fphimax //
161     Double_t epsz=1.2;
162     Double_t epszdrift=0.05;
163
164     fzmin = new Double_t*[6]; fzmax = new Double_t*[6];
165     Int_t im1, im2, im2max;
166     for(im1=0; im1<6; im1++) {
167         im2max=fNdet[im1];
168         fzmin[im1] = new Double_t[im2max]; fzmax[im1] = new Double_t[im2max];
169     } // end for im1
170
171     for(im1=0; im1<6; im1++) {
172         im2max=fNdet[im1];
173         for(im2=0; im2<im2max; im2++) {
174             g1->GetCenterThetaPhi(im1+1,1,im2+1,det);
175             if(im2!=0) fzmin[im1][im2]=det(2)-fDetz[im1];
176             else   
177                 fzmin[im1][im2]=det(2)-(fDetz[im1])*epsz;
178             if(im2!=(im2max-1)) fzmax[im1][im2]=det(2)+fDetz[im1];
179             else
180                 fzmax[im1][im2]=det(2)+fDetz[im1]*epsz;
181             if(im1==2 || im1==3) {
182                 fzmin[im1][im2]-=epszdrift;
183                 fzmax[im1][im2]+=epszdrift;
184             } // end if im1==2 || im1==3
185         } // end for im2
186     } // end for im1
187
188     fphimin = new Double_t*[6]; fphimax = new Double_t*[6];
189     for(im1=0;im1<6;im1++) {
190         im2max=fNlad[im1];
191         fphimin[im1] = new Double_t[im2max]; 
192         fphimax[im1] = new Double_t[im2max];
193     } // end for im1
194   
195     fphidet = new Double_t*[6];
196     for(im1=0; im1<6; im1++) {
197         im2max=fNlad[im1];
198         fphidet[im1] = new Double_t[im2max];
199     } // end for im1
200
201     Float_t global[3],local[3];
202     Double_t pigre=TMath::Pi();
203     Double_t xmin,ymin,xmax,ymax;
204
205     for(im1=0; im1<6; im1++) {
206         im2max=fNlad[im1];
207         for(im2=0; im2<im2max; im2++) {
208             Int_t idet=2;
209             g1->GetCenterThetaPhi(im1+1,im2+1,idet,det);
210             fphidet[im1][im2] = TMath::ATan2(Double_t(det(1)),
211                                              Double_t(det(0))); 
212             if(fphidet[im1][im2]<0.) fphidet[im1][im2]+=2.*pigre;  
213             local[1]=local[2]=0.;  
214             local[0]= -(fDetx[im1]);    
215             if(im1==0) local[0]= (fDetx[im1]); //to take into account 
216                                                // different reference system
217             g1->LtoG(im1+1,im2+1,idet,local,global);
218             xmax=global[0]; ymax=global[1];
219             local[0]= (fDetx[im1]);   
220             if(im1==0) local[0]= -(fDetx[im1]);//take into account different 
221                                                // reference system
222             g1->LtoG(im1+1,im2+1,idet,local,global);
223             xmin=global[0]; ymin=global[1];
224             fphimin[im1][im2]= TMath::ATan2(ymin,xmin);
225             if(fphimin[im1][im2]<0.) fphimin[im1][im2]+=2.*pigre; 
226             fphimax[im1][im2]= TMath::ATan2(ymax,xmax);
227             if(fphimax[im1][im2]<0.) fphimax[im1][im2]+=2.*pigre;
228         } // end for im2
229     } // end for im1
230
231     ////////// gets magnetic field factor //////////////////////////////
232
233     AliMagF * fieldPointer = gAlice->Field();
234     fFieldFactor = (Double_t)fieldPointer->Factor();
235     //cout<< " field factor = "<<fFieldFactor<<"\n"; getchar();
236 }
237 //______________________________________________________________________
238 AliITSTrackerV1::AliITSTrackerV1(const AliITSTrackerV1 &cobj) {
239     // Origin  A. Badala' and G.S. Pappalardo:
240     // e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
241     // copy constructor
242
243     *fITS = *cobj.fITS;
244     *fresult = *cobj.fresult;
245     fPtref = cobj.fPtref;
246     fChi2max = cobj.fChi2max;    
247     **fvettid = **cobj.fvettid;
248     fflagvert = cobj.fflagvert;
249     Int_t imax=200,jmax=450;
250     frl = new AliITSRad(imax,jmax);      
251     *frl = *cobj.frl;
252     fFieldFactor = cobj.fFieldFactor;
253     Int_t i,im1,im2,im2max;
254     for(i=0; i<6; i++) {
255         fNlad[i] = cobj.fNlad[i];
256         fNdet[i] = cobj.fNdet[i]; 
257         fAvrad[i] = cobj.fAvrad[i];
258         fDetx[i] = cobj.fDetx[i];
259         fDetz[i] = cobj.fDetz[i];
260     } // end or i
261     fzmin = new Double_t*[6]; fzmax = new Double_t*[6];
262     for(im1=0; im1<6; im1++) {
263         im2max=fNdet[im1];
264         fzmin[im1] = new Double_t[im2max];
265         fzmax[im1] = new Double_t[im2max];
266     } // end for im1
267     fphimin = new Double_t*[6]; fphimax = new Double_t*[6];
268     for(im1=0;im1<6;im1++) {
269         im2max=fNlad[im1];
270         fphimin[im1] = new Double_t[im2max];
271         fphimax[im1] = new Double_t[im2max];
272     } // end for im1
273   
274     fphidet = new Double_t*[6];
275     for(im1=0; im1<6; im1++) {
276         im2max=fNlad[im1];
277         fphidet[im1] = new Double_t[im2max];
278     } // end for im1
279     for(im1=0; im1<6; im1++) {
280         im2max=fNdet[im1];
281         for(im2=0; im2<im2max; im2++) {
282             fzmin[im1][im2]=cobj.fzmin[im1][im2];
283             fzmax[im1][im2]=cobj.fzmax[im1][im2];
284         } // end for im2
285     } // end for im1
286     for(im1=0; im1<6; im1++) {
287         im2max=fNlad[im1];
288         for(im2=0; im2<im2max; im2++) {
289             fphimin[im1][im2]=cobj.fphimin[im1][im2];
290             fphimax[im1][im2]=cobj.fphimax[im1][im2];
291             fphidet[im1][im2]=cobj.fphidet[im1][im2];  
292         } // end for im2
293     } // end for im2
294 }
295 //______________________________________________________________________
296 AliITSTrackerV1::~AliITSTrackerV1(){
297     // Origin  A. Badala' and G.S. Pappalardo:
298     // e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it  
299     // class destructor
300
301     //delete fTimerKalman;
302     //delete fTimerIntersection;
303 }
304 //______________________________________________________________________
305 AliITSTrackerV1 &AliITSTrackerV1::operator=(AliITSTrackerV1 obj) {
306     // Origin  A. Badala' and G.S. Pappalardo:
307     // e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it  
308     // assignement operator
309
310     *fITS = *obj.fITS;
311     *fresult = *obj.fresult;
312     fPtref = obj.fPtref;
313     fChi2max = obj.fChi2max;      
314     **fvettid = **obj.fvettid;
315     fflagvert = obj.fflagvert;
316     Int_t imax=200,jmax=450;
317     frl = new AliITSRad(imax,jmax);      
318     *frl = *obj.frl;
319     fFieldFactor = obj.fFieldFactor;
320     Int_t i;
321     for(i=0; i<6; i++) {
322         fNlad[i] = obj.fNlad[i];
323         fNdet[i] = obj.fNdet[i]; 
324         fAvrad[i] = obj.fAvrad[i];
325         fDetx[i] = obj.fDetx[i];
326         fDetz[i] = obj.fDetz[i];
327     } // end for i
328     fzmin = new Double_t*[6];
329     fzmax = new Double_t*[6];
330     Int_t im1, im2, im2max;
331     for(im1=0; im1<6; im1++) {
332         im2max=fNdet[im1];
333         fzmin[im1] = new Double_t[im2max]; fzmax[im1] = new Double_t[im2max];
334     } // end for im1
335     fphimin = new Double_t*[6]; fphimax = new Double_t*[6];
336     for(im1=0;im1<6;im1++) {
337         im2max=fNlad[im1];
338         fphimin[im1] = new Double_t[im2max];
339         fphimax[im1] = new Double_t[im2max];
340     } // end for im1
341
342     fphidet = new Double_t*[6];
343     for(im1=0; im1<6; im1++) {
344         im2max=fNlad[im1];
345         fphidet[im1] = new Double_t[im2max];
346     } // end for im1
347     for(im1=0; im1<6; im1++) {
348         im2max=fNdet[im1];
349         for(im2=0; im2<im2max; im2++) {
350             fzmin[im1][im2]=obj.fzmin[im1][im2];
351             fzmax[im1][im2]=obj.fzmax[im1][im2];
352         } // end for im2
353     } // end for im1
354     for(im1=0; im1<6; im1++) {
355         im2max=fNlad[im1];
356         for(im2=0; im2<im2max; im2++) {
357             fphimin[im1][im2]=obj.fphimin[im1][im2];
358             fphimax[im1][im2]=obj.fphimax[im1][im2];
359             fphidet[im1][im2]=obj.fphidet[im1][im2];  
360         } // end for im2
361     } // end for im1
362
363     return *this;
364 }
365 //______________________________________________________________________
366 void AliITSTrackerV1::DoTracking(Int_t evNumber,Int_t minTr,Int_t maxTr,
367                                  TFile *file, Bool_t realmass) {
368     // Origin   A. Badala' and G.S. Pappalardo:
369     // e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
370     // The method needs the event number, the minimum and maximum order
371     // number of TPC tracks that 
372     // are to be tracked trough the ITS, and the file where the recpoints
373     // are registered.
374     // The method can be called by a macro. It preforms the tracking for
375     // all good TPC tracks
376
377     printf("begin DoTracking - file %p\n",file);
378
379     gAlice->GetEvent(evNumber);  //modificato per gestire hbt
380  
381     AliKalmanTrack *kkprov;
382     kkprov->SetConvConst(100/0.299792458/0.2/fFieldFactor);
383
384     TFile *cf=TFile::Open("AliTPCclusters.root");  
385     AliTPCParam *digp= (AliTPCParam*)cf->Get("75x40_100x60");
386     if (!digp) { cerr<<"TPC parameters have not been found !\n"; getchar();}
387
388     cf->cd();
389     AliTPCtracker *tracker = new AliTPCtracker(digp,evNumber);  
390
391     // Load clusters
392     tracker->LoadInnerSectors();
393     tracker->LoadOuterSectors();
394
395     // Load tracks
396     TFile *tf=TFile::Open("AliTPCtracksSorted.root");  //modificato per hbt
397     if (!tf->IsOpen()) {
398         cerr<<"Can't open AliTPCtracksSorted.root !\n";
399         return ;
400     } // end if
401     TObjArray tracks(200000);
402     char tname[100];                 
403     sprintf(tname,"TreeT_TPC_%d",evNumber);
404
405     TTree *tracktree=(TTree*)tf->Get(tname);   
406     if (!tracktree) {cerr<<"Can't get a tree with TPC tracks !\n";}   
407     TBranch *tbranch=tracktree->GetBranch("tracks");
408     Int_t nentr=(Int_t)tracktree->GetEntries();
409     Int_t kk;
410
411     AliTPCtrack *ioTrackTPC=0;    
412     for (kk=0; kk<nentr; kk++) {
413         ioTrackTPC=new AliTPCtrack; 
414         tbranch->SetAddress(&ioTrackTPC);
415         tracktree->GetEvent(kk);    
416         tracker->CookLabel(ioTrackTPC,0.1);       
417         tracks.AddLast(ioTrackTPC);         
418     } // end for kk
419     delete tracker;      
420     tf->Close();
421
422     Int_t nt = tracks.GetEntriesFast();
423     cerr<<"Number of found tracks "<<nt<<endl;
424
425     TVector vec(5);
426     TTree *tr=gAlice->TreeR();
427     Int_t nent=(Int_t)tr->GetEntries();  
428     frecPoints = fITS->RecPoints();
429
430     Int_t numbpoints;
431     Int_t totalpoints=0;
432     Int_t *np = new Int_t[nent];
433     fvettid = new Int_t* [nent];
434     Int_t mod;
435
436     for (mod=0; mod<nent; mod++) {
437         fvettid[mod]=0;
438         fITS->ResetRecPoints();  
439         gAlice->TreeR()->GetEvent(mod); 
440         numbpoints = frecPoints->GetEntries();
441         totalpoints+=numbpoints;
442         np[mod] = numbpoints;
443         //cout<<" mod = "<<mod<<"   numbpoints = "<<numbpoints<<"\n";getchar();
444         fvettid[mod] = new Int_t[numbpoints];
445         Int_t ii;
446         for (ii=0;ii<numbpoints; ii++) *(fvettid[mod]+ii)=0;
447     } // end for mod
448
449     AliTPCtrack *track=0;
450
451     if(minTr < 0) {minTr = 0; maxTr = nt-1;}   
452
453     TVector vgeant(3);
454
455     TTree tracktree1("TreeT","Tree with ITS tracks");
456     AliITSIOTrack *ioTrack=0;
457     tracktree1.Branch("ITStracks","AliITSIOTrack",&ioTrack,32000,0);
458   
459    TDatabasePDG * db = new TDatabasePDG;   
460   
461     Int_t j;       
462     for (j=minTr; j<=maxTr; j++) {     
463         track=(AliTPCtrack*)tracks.UncheckedAt(j);
464         if (!track) continue;
465         
466         ///   mass definition ////////////////////////
467     Double_t mass=0.13956995;
468          Int_t pcode=211;  // a pion by default
469          if(realmass) {
470     Int_t TPClabel=TMath::Abs( track->GetLabel() );   
471          TParticle *p = (TParticle*)gAlice->Particle(TPClabel);
472           pcode=p->GetPdgCode();
473          // Int_t mothercode=p->GetFirstMother();
474          //if(mothercode>0 ) numofsecondaries++; else numofprimaries++;
475          }
476          //if(!pcode) pcode=211;         
477          if(TMath::Abs(pcode)<20443) mass=db->GetParticle(pcode)->Mass();       
478         
479         
480         ///////////////////////////////////////////////
481    /*
482         //////   propagation to the end of TPC //////////////
483         Double_t xk=77.415;
484         track->PropagateTo(xk, 28.94, 1.204e-3,mass);    //Ne    
485         xk -=0.01;
486         track->PropagateTo(xk, 44.77, 1.71,mass);        //Tedlar
487         xk -=0.04;
488         track->PropagateTo(xk, 44.86, 1.45,mass);        //kevlar
489         xk -=2.0;
490         track->PropagateTo(xk, 41.28, 0.029,mass);       //Nomex         
491         xk-=16;
492         track->PropagateTo(xk,36.2,1.98e-3,mass); //C02
493         xk -=0.01;
494         track->PropagateTo(xk, 24.01, 2.7,mass);         //Al    
495         xk -=0.01;
496         track->PropagateTo(xk, 44.77, 1.71,mass);        //Tedlar
497         xk -=0.04;
498         track->PropagateTo(xk, 44.86, 1.45,mass);        //kevlar
499         xk -=0.5;
500         track->PropagateTo(xk, 41.28, 0.029,mass);       //Nomex
501     ////////////////////////////////////////////////////////////////////
502     */
503          //   new propagation to the end of TPC
504     //Double_t xk=80.;
505     //track->PropagateTo(xk,0.,0.); //Ne if it's still there
506          Double_t xk=77.415;     
507          track->PropagateTo(xk, 28.94, 1.204e-3);
508     xk-=0.005;
509     track->PropagateTo(xk, 44.77,1.71); //Tedlar         
510     xk-=0.02;
511     track->PropagateTo(xk, 44.86, 1.45);   //Kevlar
512     xk-=2.0;
513     track->PropagateTo(xk, 41.28, 0.029);//Nomex
514     xk-=0.02;
515     track->PropagateTo(xk, 44.86, 1.45);   //Kevlar
516     xk-=0.005;
517     track->PropagateTo(xk, 44.77, 1.71); //Tedlar
518
519     xk=61.;
520     //track->PropagateTo(xk,0.,0.); //C02
521          track->PropagateTo(xk,36.2,1.98e-3); //C02      
522
523     xk -=0.005;
524     track->PropagateTo(xk, 24.01, 2.7);    //Al    
525     xk -=0.005;
526     track->PropagateTo(xk, 44.77, 1.71);  //Tedlar
527     xk -=0.02;
528     track->PropagateTo(xk, 44.86, 1.45);    //Kevlar
529     xk -=0.5;
530     track->PropagateTo(xk, 41.28, 0.029);  //Nomex    
531     xk -=0.02;
532     track->PropagateTo(xk, 44.86, 1.45);    //Kevlar
533     xk -=0.005;
534     track->PropagateTo(xk, 44.77, 1.71);  //Tedlar
535     xk -=0.005;
536     track->PropagateTo(xk, 24.01, 2.7);    //Al    
537          
538          
539         AliITSTrackV1 trackITS(*track);     
540         trackITS.PutMass(mass);   //new to add mass to track
541         if(fresult){ delete fresult; fresult=0;}         
542         fresult = new AliITSTrackV1(trackITS);   
543
544         AliITSTrackV1 primaryTrack(trackITS);
545         vgeant=(*fresult).GetVertex();
546
547         // Definition of dv and zv for vertex constraint        
548         Double_t sigmaDv=0.0050;  Double_t sigmaZv=0.010;       
549         //Double_t sigmaDv=0.0015;  Double_t sigmaZv=0.0015;
550         Double_t uniform= gRandom->Uniform();
551         Double_t signdv;
552         if(uniform<=0.5) signdv=-1.;
553         else
554             signdv=1.;
555
556         Double_t vr=TMath::Sqrt(vgeant(0)*vgeant(0)+ vgeant(1)*vgeant(1));
557         Double_t dv=gRandom->Gaus(signdv*vr,(Float_t)sigmaDv); 
558         Double_t zv=gRandom->Gaus(vgeant(2),(Float_t)sigmaZv);          
559         //cout<<" Dv e Zv = "<<dv<<" "<<zv<<"\n";
560         trackITS.SetDv(dv);
561         trackITS.SetZv(zv);
562         trackITS.SetsigmaDv(sigmaDv);
563         trackITS.SetsigmaZv(sigmaZv); 
564         (*fresult).SetDv(dv);
565         (*fresult).SetZv(zv);
566         (*fresult).SetsigmaDv(sigmaDv);
567         (*fresult).SetsigmaZv(sigmaZv);
568         primaryTrack.SetDv(dv);
569         primaryTrack.SetZv(zv);
570         primaryTrack.SetsigmaDv(sigmaDv);
571         primaryTrack.SetsigmaZv(sigmaZv);
572         primaryTrack.PrimaryTrack(frl);
573         TVector  d2=primaryTrack.Getd2();
574         TVector  tgl2=primaryTrack.Gettgl2();
575         TVector  dtgl=primaryTrack.Getdtgl();
576         trackITS.Setd2(d2); trackITS.Settgl2(tgl2);
577         trackITS.Setdtgl(dtgl); 
578         (*fresult).Setd2(d2); (*fresult).Settgl2(tgl2);
579         (*fresult).Setdtgl(dtgl);
580         /*
581           trackITS.SetVertex(vertex); trackITS.SetErrorVertex(ervertex);
582           (*result).SetVertex(vertex);   (*result).SetErrorVertex(ervertex);   
583         */
584         TList *list= new TList();
585
586         list->AddLast(&trackITS);
587   
588         fPtref=TMath::Abs( (trackITS).GetPt() );
589         if(fPtref>1.0) fChi2max=40.;         
590         if(fPtref<=1.0) fChi2max=20.;
591         if(fPtref<0.4 ) fChi2max=100.;
592         if(fPtref<0.2 ) fChi2max=40.;             
593         // if(fPtref<0.4 ) fChi2max=30.;                                 
594         // if(fPtref<0.2 ) fChi2max=20.;
595         //if(fPtref<0.2 ) fChi2max=10.;
596         //if(fPtref<0.1 ) fChi2max=5.;
597         //cout << "\n Pt = " << fPtref <<"\n";  //stampa
598         RecursiveTracking(list);   
599         list->Delete();
600         delete list;
601
602         Int_t itot=-1;
603         TVector vecTotLabRef(18);
604         Int_t lay, k;
605         for(lay=5; lay>=0; lay--) {
606             TVector vecLabRef(3); 
607             vecLabRef=(*fresult).GetLabTrack(lay);
608             Float_t clustZ=(*fresult).GetZclusterTrack( lay);   
609             for(k=0; k<3; k++){  
610                 Int_t lpp=(Int_t)vecLabRef(k);
611                 if(lpp>=0) {
612                     TParticle *p=(TParticle*) gAlice->Particle(lpp);
613                     Int_t pcode=p->GetPdgCode();
614                     if(pcode==11) vecLabRef(k)=p->GetFirstMother();
615                 } // end if
616                 itot++; vecTotLabRef(itot)=vecLabRef(k);
617                 if(vecLabRef(k)==0. && clustZ == 0.) vecTotLabRef(itot) =-3.;
618             } // end for k
619         } // end for lay
620         Long_t labref;
621         Int_t freq;  
622         (*fresult).Search(vecTotLabRef, labref, freq);
623
624         //if(freq < 6) labref=-labref;        // cinque - sei
625         if(freq < 5) labref=-labref;        // cinque - sei     
626         (*fresult).SetLabel(labref);
627
628         // cout<<" progressive track number = "<<j<<"\r";
629         // cout<<j<<"\r";
630         Int_t numOfCluster=(*fresult).GetNumClust();  
631         //cout<<" progressive track number = "<<j<<"\n";    // stampa
632         Long_t labITS=(*fresult).GetLabel();
633         //cout << " ITS track label = " << labITS << "\n";      // stampa           
634         Int_t lab=track->GetLabel();                
635         //cout << " TPC track label = " << lab <<"\n";      // stampa
636         //propagation to vertex
637
638         Double_t rbeam=3.;
639     if((*fresult).DoNotCross(rbeam)) continue;  //no intersection with beampipe 
640         (*fresult).Propagation(rbeam);
641         Double_t c00,c10,c11,c20,c21,c22,c30,c31,c32,c33,c40,c41,c42,c43,c44;
642         (*fresult).GetCElements(c00,
643                                 c10,c11,
644                                 c20,c21,c22,
645                                 c30,c31,c32,c33,
646                                 c40,c41,c42,c43,c44);
647                  
648         Double_t pt=TMath::Abs((*fresult).GetPt());
649         Double_t dr=(*fresult).GetD();
650         Double_t z=(*fresult).GetZ();
651         Double_t tgl=(*fresult).GetTgl();
652         Double_t c=(*fresult).GetC();
653         Double_t cy=c/2.;
654         Double_t dz=z-(tgl/cy)*TMath::ASin((*fresult).Arga(rbeam));
655         dz-=vgeant(2);
656         // cout<<" dr e dz alla fine = "<<dr<<" "<<dz<<"\n"; getchar();
657         Double_t phi=(*fresult).Getphi();
658         Double_t phivertex = phi - TMath::ASin((*fresult).ArgA(rbeam));
659         Double_t duepi=2.*TMath::Pi();   
660         if(phivertex>duepi) phivertex-=duepi;
661         if(phivertex<0.) phivertex+=duepi;
662         /////////////////////////////////////////////////////////////
663         Int_t idmodule,idpoint;
664         if(numOfCluster >=5)  {            // cinque - sei
665             //if(numOfCluster ==6)  {            // cinque - sei
666             AliITSIOTrack outTrack;
667             ioTrack=&outTrack;
668             ioTrack->SetStatePhi(phi);
669             ioTrack->SetStateZ(z);
670             ioTrack->SetStateD(dr);
671             ioTrack->SetStateTgl(tgl);
672             ioTrack->SetStateC(c);
673             Double_t radius=(*fresult).Getrtrack();
674             ioTrack->SetRadius(radius);
675             Int_t charge;
676             if(c>0.) charge=-1;  else charge=1;
677             ioTrack->SetCharge(charge);
678             ioTrack->SetCovMatrix(c00,
679                                   c10,c11,
680                                   c20,c21,c22,
681                                   c30,c31,c32,c33,
682                                   c40,c41,c42,c43,c44);
683             Double_t px=pt*TMath::Cos(phivertex);
684             Double_t py=pt*TMath::Sin(phivertex);
685             Double_t pz=pt*tgl;
686             Double_t xtrack=dr*TMath::Sin(phivertex);
687             Double_t ytrack=dr*TMath::Cos(phivertex);
688             Double_t ztrack=dz+vgeant(2);
689             ioTrack->SetPx(px);
690             ioTrack->SetPy(py);
691             ioTrack->SetPz(pz);
692             ioTrack->SetX(xtrack);
693             ioTrack->SetY(ytrack);
694             ioTrack->SetZ(ztrack);
695             ioTrack->SetLabel(labITS);
696             ioTrack->SetTPCLabel(lab);
697                  ioTrack->SetDz(dz);
698             Int_t il;           
699             for(il=0;il<6; il++){
700                 ioTrack->SetIdPoint(il,(*fresult).GetIdPoint(il));
701                 ioTrack->SetIdModule(il,(*fresult).GetIdModule(il));
702             } // end for il
703             tracktree1.Fill();
704             for (il=0;il<6;il++) {
705                 idpoint=(*fresult).GetIdPoint(il);
706                 idmodule=(*fresult).GetIdModule(il);
707                 if(idmodule>0.) *(fvettid[idmodule]+idpoint)=1;
708                                                                
709                 ioTrack->SetIdPoint(il,idpoint);
710                 ioTrack->SetIdModule(il,idmodule);
711             } // end for il         
712         } // end if on numOfCluster
713         //gObjectTable->Print();    // stampa memoria     
714     }  //  end for (int j=minTr; j<=maxTr; j++)
715     delete db;           
716     static Bool_t first=kTRUE;
717     static TFile *tfile;
718     if(first) {
719         tfile=new TFile("itstracks.root","RECREATE");
720         //cout<<"I have opened itstracks.root file "<<endl;
721     } // end if     
722     first=kFALSE;
723     tfile->cd();
724     tfile->ls();
725     char hname[30];
726     sprintf(hname,"TreeT%d",evNumber);
727     tracktree1.Write(hname);
728   
729     TTree *fAli=gAlice->TreeK();
730     TFile *fileAli=0;
731     if (fAli) fileAli =fAli->GetCurrentFile();
732     fileAli->cd();
733     ////////////////////////////////////////////////////////////////////
734
735     printf("delete vectors\n");
736     if(np) delete [] np;
737     if(fvettid) delete [] fvettid;
738     if(fresult) {delete fresult; fresult=0;}
739 }
740 //______________________________________________________________________
741 void AliITSTrackerV1::RecursiveTracking(TList *trackITSlist) {
742     //   This function perform the recursive tracking in ITS detectors
743     // reference is a pointer to the final best track
744     // Origin  A. Badala' and G.S. Pappalardo:
745     // e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
746     // The authors thank Mariana Bondila to have help them to resolve some
747     // problems.  July-2000
748
749     //Rlayer[0]=4.; Rlayer[1]=7.;  Rlayer[2]=14.9;
750     // Rlayer[3]=23.8;  Rlayer[4]=39.1;  Rlayer[5]=43.6; //vecchio
751
752     ////////////////////// 
753     Float_t sigmaphil[6], sigmazl[6];
754     sigmaphil[0]=1.44e-6/(fAvrad[0]*fAvrad[0]);
755     sigmaphil[1]=1.44e-6/(fAvrad[1]*fAvrad[1]);
756     sigmaphil[2]=1.444e-5/(fAvrad[2]*fAvrad[2]);
757     sigmaphil[3]=1.444e-5/(fAvrad[3]*fAvrad[3]);
758     sigmaphil[4]=4e-6/(fAvrad[4]*fAvrad[4]);
759     sigmaphil[5]=4e-6/(fAvrad[5]*fAvrad[5]);
760     sigmazl[0]=1e-2;
761     sigmazl[1]=1e-2;
762     sigmazl[2]=7.84e-4;
763     sigmazl[3]=7.84e-4;
764     sigmazl[4]=0.6889;
765     sigmazl[5]=0.6889;  
766     ///////////////////////////////////////////////////////////
767     Int_t index; 
768     AliITSgeom *g1 = fITS->GetITSgeom();
769     AliITSRecPoint *recp;        
770     for(index =0; index<trackITSlist->GetSize(); index++) {
771         AliITSTrackV1 *trackITS = (AliITSTrackV1 *) trackITSlist->At(index);
772         if((*trackITS).GetLayer()==7) fresult->SetChi2(10.223e140);
773         // cout <<" Layer inizio = "<<(*trackITS).GetLayer()<<"\n";
774         //  cout<<"fvtrack =" <<"\n";
775         //  cout << (*trackITS)(0) << " "<<(*trackITS)(1)<<" "
776         //       <<(*trackITS)(2)<<" "<<(*trackITS)(3)<<" "
777         //       <<(*trackITS)(4)<<"\n";
778         //  cout<< " rtrack = "<<(*trackITS).Getrtrack()<<"\n";
779         //  cout<< " Pt = "<<(*trackITS).GetPt()<<"\n";
780         //  getchar();    
781         Double_t chi2Now, chi2Ref;
782         Float_t numClustRef = fresult->GetNumClust();            
783         if((*trackITS).GetLayer()==1 ) {
784             chi2Now = trackITS->GetChi2();
785             Float_t numClustNow = trackITS->GetNumClust();
786             if(trackITS->GetNumClust()) 
787                 chi2Now /= (Double_t)trackITS->GetNumClust();
788             chi2Ref = fresult->GetChi2();
789             if(fresult->GetNumClust()) 
790                 chi2Ref /= (Double_t)fresult->GetNumClust();
791             //cout<<" chi2Now and chi2Ref = "<<chi2Now<<" "<<chi2Ref<<"\n";
792             if( numClustNow > numClustRef ) {*fresult = *trackITS;} 
793             if((numClustNow == numClustRef )&& 
794                (chi2Now < chi2Ref))  {
795                 *fresult = *trackITS;
796             } // end if
797             continue;   
798         } // end if
799
800         if(trackITS->Getfnoclust()>=2)  continue;      
801         Float_t numClustNow = trackITS->GetNumClust();
802         if(numClustNow) { 
803             chi2Now = trackITS->GetChi2();
804
805             if(numClustNow<numClustRef && chi2Now>fresult->GetChi2()) continue;
806             //cout<<" chi2Now =  "<<chi2Now<<"\n";   
807             //  commentato il 30-7-2001   
808             chi2Now/=numClustNow;
809             if(fPtref > 1.0 && chi2Now > 30.) continue; 
810             if((fPtref >= 0.6 && fPtref<=1.0) && chi2Now > 40.) continue;
811             // if((fPtref <= 0.6 && fPtref>0.2)&& chi2Now > 40.) continue;
812             // if(fPtref <= 0.2 && chi2Now > 8.) continue;
813             if((fPtref <= 0.6 && fPtref>0.2)&& chi2Now > 30.) continue;
814             if(fPtref <= 0.2 && chi2Now > 7.) continue;     
815             /////////////////////////////
816         } // end if
817
818         Int_t layerInit = (*trackITS).GetLayer();
819         Int_t layernew = layerInit - 2;// -1 for new layer, -1 for matrix index
820         TList listoftrack;
821         Int_t ladp, ladm, detp,detm,ladinters,detinters;        
822         Int_t layerfin=layerInit-1;
823         // cout<<"Prima di intersection \n";
824         //if(!fTimerIntersection) fTimerIntersection = new TStopwatch();
825         // timer
826         //fTimerIntersection->Continue();
827         // timer 
828         Int_t  outinters=Intersection(*trackITS,layerfin,ladinters,detinters);
829         //fTimerIntersection->Stop();
830         // timer
831         // cout<<" outinters = "<<outinters<<"\n";
832         //  cout<<" Layer ladder detector intersection ="
833         //      <<layerfin<<" "<<ladinters<<" "<<detinters<<"\n";
834         //  cout << " phiinters zinters = "<<(*trackITS)(0) 
835         //       << " "<<(*trackITS)(1)<<"\n"; getchar();
836         if(outinters==-1) continue;
837         Int_t flaghit=0;
838         if(outinters==0){
839             TVector toucLad(9), toucDet(9);      
840             Int_t lycur=layerfin;
841             ladp=ladinters+1;
842             ladm=ladinters-1;
843             if(ladm <= 0) ladm=fNlad[layerfin-1];    
844             if(ladp > fNlad[layerfin-1]) ladp=1;  
845             detp=detinters+1;
846             detm=detinters-1;
847             Int_t idetot=1;
848             /*
849               toucLad(0)=ladinters; toucLad(1)=ladm; toucLad(2)=ladp;
850               toucLad(3)=ladinters; toucLad(4)=ladm; toucLad(5)=ladp;
851               toucLad(6)=ladinters; toucLad(7)=ladm; toucLad(8)=ladp;
852               toucDet(0)=detinters; toucDet(1)=detinters; toucDet(2)=detinters;
853               if(detm > 0 && detp <= fNdet[layerfin-1]) {     
854                    idetot=9;
855                    toucDet(3)=detm; toucDet(4)=detm; toucDet(5)=detm;      
856                    toucDet(6)=detp; toucDet(7)=detp; toucDet(8)=detp;
857               } // end if
858               if(detm > 0 && detp > fNdet[layerfin-1]) {   
859                    idetot=6;
860                    toucDet(3)=detm; toucDet(4)=detm; toucDet(5)=detm;
861              } // end if
862              if(detm <= 0 && detp <= fNdet[layerfin-1]) {   
863                   idetot=6;
864                   toucDet(3)=detp; toucDet(4)=detp; toucDet(5)=detp;
865              } // end if
866             */
867             Float_t epsphi=5.0, epsz=5.0;                  
868             if(fPtref<0.2) {epsphi=3.; epsz=3.;}     
869             // nuova definizione idetot e toucLad e toucDet to be
870             // transformed in a method
871             // these values could be modified
872             Float_t pigre=TMath::Pi();
873             Float_t rangephi=5., rangez=5.;
874             if(layerfin==1 || layerfin ==2){
875                 rangephi=40.*epsphi*TMath::Sqrt(sigmaphil[layerfin-1]+
876                                                 (*trackITS).GetSigmaphi());
877                 rangez = 40.*epsz*TMath::Sqrt(sigmazl[layerfin-1]+
878                                               (*trackITS).GetSigmaZ());
879             } // end if
880             if(layerfin==3 || layerfin ==4){
881                 //rangephi=30.*fepsphi*TMath::Sqrt(sigmaphil[layerfin-1]+
882                 //                                 (*trackITS).GetSigmaphi());
883                 //rangez = 40.*fepsz*TMath::Sqrt(sigmazl[layerfin-1]+
884                 //                               (*trackITS).GetSigmaZ());
885                 rangephi=40.*epsphi*TMath::Sqrt(sigmaphil[layerfin-1]+
886                                                 (*trackITS).GetSigmaphi());
887                 rangez = 50.*epsz*TMath::Sqrt(sigmazl[layerfin-1]+
888                                               (*trackITS).GetSigmaZ());
889             } // end if
890             if(layerfin==5 || layerfin ==6){
891                 rangephi=20.*epsphi*TMath::Sqrt(sigmaphil[layerfin-1]+
892                                                 (*trackITS).GetSigmaphi());
893                 rangez =5.*epsz*TMath::Sqrt(sigmazl[layerfin-1]+
894                                             (*trackITS).GetSigmaZ());
895             } // end if
896             Float_t phinters, zinters;
897             phinters=(*trackITS).Getphi();
898             zinters=(*trackITS).GetZ();
899             Float_t distz = 0.0;
900             Float_t phicm, phicp, distphim, distphip;
901             phicm=phinters;
902             if(phinters>fphimax[layerfin-1][ladm]) phicm=phinters-2*pigre;
903             distphim=TMath::Abs(phicm-fphimax[layerfin-1][ladm]);
904             phicp=phinters;
905             if(phinters>fphimin[layerfin-1][ladp]) phicp=phinters-2.*pigre;
906             distphip=TMath::Abs(phicp-fphimin[layerfin-1][ladp]);
907             Int_t flagzmin=0;
908             Int_t flagzmax=0;
909             idetot=1;
910             toucLad(0)=ladinters; toucDet(0)=detinters;
911             if(detm>0) distz=TMath::Abs(zinters-fzmax[layerfin-1][detm-1]);
912             if(detm>0 && rangez>=distz){
913                 flagzmin=1; 
914                 idetot++; toucLad(idetot-1)=ladinters; toucDet(idetot-1)=detm;
915                 if(rangephi>=distphim){
916                     idetot++; 
917                     toucLad(idetot-1)=ladm;
918                     toucDet(idetot-1)=detinters;
919                     idetot++;
920                     toucLad(idetot-1)=ladm;
921                     toucDet(idetot-1)=detm;
922                 } // end if
923                 if(rangephi>=distphip){
924                     idetot++;
925                     toucLad(idetot-1)=ladp;
926                     toucDet(idetot-1)=detinters;
927                     idetot++;
928                     toucLad(idetot-1)=ladp;
929                     toucDet(idetot-1)=detm;
930                 } // end if
931             }  //end detm>0....          
932             if(detp<=fNdet[layerfin-1]) 
933                 distz=TMath::Abs(zinters-fzmin[layerfin-1][detp-1]);
934             if(detp<=fNdet[layerfin-1] && rangez>=distz){
935                 flagzmax=1;
936                 idetot++; toucLad(idetot-1)=ladinters; toucDet(idetot-1)=detp;
937                 if(rangephi>=distphim){
938                     idetot++; toucLad(idetot-1)=ladm; toucDet(idetot-1)=detp;
939                     if(flagzmin == 0) {
940                         idetot++;
941                         toucLad(idetot-1)=ladm;
942                         toucDet(idetot-1)=detinters;
943                     } // end if
944                 } // end if
945                 if(rangephi>=distphip){
946                     idetot++;
947                     toucLad(idetot-1)=ladp;
948                     toucDet(idetot-1)=detp;
949                     if(flagzmin == 0) {
950                         idetot++;
951                         toucLad(idetot-1)=ladp; 
952                         toucDet(idetot-1)=detinters;
953                     } // end if
954                 } // end if
955             }  //end detm<fNdet[.......
956
957             if(flagzmin == 0 && flagzmax==0){
958                 if(rangephi>=distphim){
959                     idetot++; 
960                     toucLad(idetot-1)=ladm;
961                     toucDet(idetot-1)=detinters;
962                 } // end if     
963                 if(rangephi>=distphip){
964                     idetot++; 
965                     toucLad(idetot-1)=ladp;
966                     toucDet(idetot-1)=detinters;
967                 } // end if       
968             } // end if
969             ////////////////////////////////////////////////////////////
970             Int_t iriv;
971             for (iriv=0; iriv<idetot; iriv++) {  //for on detectors
972                 ///////////////////////////////////////////////////////
973                 /*** Rec points sorted by module *****/
974                 /**************************************/
975                 Int_t indexmod;       //mod ott
976                 // AliITSRecPoint *recp;
977                 indexmod = g1->GetModuleIndex(lycur,(Int_t)toucLad(iriv),
978                                               (Int_t)toucDet(iriv));
979                 //mod ott 
980                 fITS->ResetRecPoints();   
981                 gAlice->TreeR()->GetEvent(indexmod); 
982                 Int_t npoints=frecPoints->GetEntries();
983                 /* mod ott
984                    Int_t *indlist=new Int_t[npoints+1];
985                    Int_t counter=0;
986                    Int_t ind;
987                    for (ind=0; ind<=npoints; ind++) {
988                         indlist[ind]=-1;
989                         if (*(fvettid[index]+ind)==0) {
990                              indlist[counter]=ind;
991                              counter++;
992                         } // end if
993                    } // end for ind
994                    ind=-1;
995                    for(;;) { 
996                          ind++;
997                          if(indlist[ind] < 0) recp=0;
998                          else 
999                               recp = (AliITSRecPoint*)frecPoints->
1000                                                     UncheckedAt(indlist[ind]);
1001                         if((!recp)  )  break;
1002                    } // end for ;;
1003                 */
1004                 ///////////////////////// new //////////////////////////       
1005                 Int_t indnew;
1006                 for(indnew=0; indnew<npoints; indnew++){
1007                     if (*(fvettid[indexmod]+indnew)==0)
1008                         recp =(AliITSRecPoint*)frecPoints->UncheckedAt(indnew);
1009                     else
1010                         continue;
1011                     ////////////////////////////////////////////////////
1012                     TVector cluster(3),vecclust(9);
1013                     vecclust(6)=vecclust(7)=vecclust(8)=-1.;
1014                     Double_t sigma[2];               
1015                     // set veclust in global
1016                     Float_t global[3], local[3];
1017                     local[0]=recp->GetX();
1018                     local[1]=0.;
1019                     local[2]= recp->GetZ();
1020                     Int_t play = lycur;
1021                     Int_t plad = TMath::Nint(toucLad(iriv));   
1022                     Int_t pdet = TMath::Nint(toucDet(iriv));            
1023                     g1->LtoG(play,plad,pdet,local,global);
1024                     vecclust(0)=global[0];
1025                     vecclust(1)=global[1];
1026                     vecclust(2)=global[2];
1027
1028                     vecclust(3) = (Float_t)recp->fTracks[0]; 
1029                     //vecclust(4) = (Float_t)indlist[ind];
1030                     vecclust(4) = (Float_t)indnew;                       
1031                     vecclust(5) = (Float_t)indexmod;    //mod ott
1032                     vecclust(6) = (Float_t)recp->fTracks[0];
1033                     vecclust(7) = (Float_t)recp->fTracks[1];
1034                     vecclust(8) = (Float_t)recp->fTracks[2];
1035                     sigma[0] = (Double_t)  recp->GetSigmaX2();     
1036                     sigma[1] = (Double_t) recp->GetSigmaZ2();
1037                     //now we are in r,phi,z in global
1038                     cluster(0) = TMath::Sqrt(vecclust(0)*vecclust(0)+
1039                                              vecclust(1)*vecclust(1));//r hit
1040                     cluster(1) = TMath::ATan2(vecclust(1),vecclust(0));
1041                     if(cluster(1)<0.) cluster(1)+=2.*TMath::Pi();
1042                     cluster(2) = vecclust(2);                   // z hit
1043                     // cout<<" layer = "<<play<<"\n";
1044                     // cout<<" cluster prima = "<<vecclust(0)<<" "
1045                     //     <<vecclust(1)<<" "
1046                     //     <<vecclust(2)<<"\n"; getchar();    
1047
1048                     Float_t sigmatotphi, sigmatotz;  
1049                     // Float_t epsphi=5.0, epsz=5.0;                 
1050                     //if(fPtref<0.2) {epsphi=3.; epsz=3.;}
1051                     Double_t rTrack=(*trackITS).Getrtrack();
1052                     Double_t sigmaphi=sigma[0]/(rTrack*rTrack);
1053                     sigmatotphi=epsphi*TMath::Sqrt(sigmaphi + 
1054                                                    (*trackITS).GetSigmaphi());
1055                     sigmatotz=epsz*TMath::Sqrt(sigma[1] + 
1056                                                (*trackITS).GetSigmaZ());
1057                     //cout<<"cluster e sigmatotphi e track = "<<cluster(0)
1058                     //    <<" "<<cluster(1)<<" "<<sigmatotphi<<" "
1059                     //    <<vecclust(3)<<"\n";
1060                     //if(vecclust(3)==481) getchar();
1061                     if(cluster(1)<6. && (*trackITS).Getphi()>6.) 
1062                         cluster(1)=cluster(1)+(2.*TMath::Pi());
1063                     if(cluster(1)>6. && (*trackITS).Getphi()<6.) 
1064                         cluster(1)=cluster(1)-(2.*TMath::Pi());
1065                     if(TMath::Abs(cluster(1)-(*trackITS).Getphi())>sigmatotphi)
1066                         continue;
1067                     // cout<<" supero sigmaphi \n";      
1068                     AliITSTrackV1 *newTrack = new AliITSTrackV1((*trackITS));
1069                     (*newTrack).SetLayer((*trackITS).GetLayer()-1);
1070                     if (TMath::Abs(rTrack-cluster(0))/rTrack>1e-6) 
1071                         (*newTrack).Correct(Double_t(cluster(0)));      
1072                     //cout<<" cluster(2) e(*newTrack).GetZ()="<<cluster(2)<<" "
1073                     //    << (*newTrack).GetZ()<<"\n";
1074                     if(TMath::Abs(cluster(2)-(*newTrack).GetZ()) > sigmatotz){ 
1075                         delete newTrack;
1076                         continue;
1077                     } // end if
1078                     Double_t sigmanew[2];
1079                     sigmanew[0]= sigmaphi;
1080                     sigmanew[1]=sigma[1];
1081                     Double_t m[2];
1082                     m[0]=cluster(1);
1083                     m[1]=cluster(2);
1084                     //  Double_t chi2pred=newTrack->GetPredChi2(m,sigmanew);   
1085                     // cout<<" chi2pred = "<<chi2pred<<"\n";
1086                     // if(chi2pred>fChi2max) continue; //aggiunto il 30-7-2001
1087                     if(iriv == 0) flaghit=1;
1088                     (*newTrack).AddMS(frl);  // add the multiple scattering 
1089                                              //matrix to the covariance matrix 
1090                     (*newTrack).AddEL(frl,1.,0);
1091
1092                     //if(!fTimerKalman) fTimerKalman = new TStopwatch();//timer
1093                     //fTimerKalman->Continue();                        // timer
1094                     if(fflagvert){
1095                         KalmanFilterVert(newTrack,cluster,sigmanew);
1096                         //KalmanFilterVert(newTrack,cluster,sigmanew,chi2pred);
1097                     }else{
1098                         KalmanFilter(newTrack,cluster,sigmanew);
1099                     } // end if
1100                     //fTimerKalman->Stop();                         // timer
1101                     (*newTrack).PutCluster(layernew, vecclust);
1102                     newTrack->AddClustInTrack();
1103                     listoftrack.AddLast(newTrack);
1104                 }   // end for indnew
1105                 // delete [] indlist;  //mod ott
1106             }  // end of for on detectors (iriv)
1107         }//end if(outinters==0)
1108
1109         if(flaghit==0 || outinters==-2) {
1110             AliITSTrackV1 *newTrack = new AliITSTrackV1(*trackITS);
1111             (*newTrack).Setfnoclust();           
1112             (*newTrack).SetLayer((*trackITS).GetLayer()-1); 
1113             (*newTrack).AddMS(frl);  // add the multiple scattering matrix
1114                                      // to the covariance matrix  
1115             (*newTrack).AddEL(frl,1.,0);
1116             listoftrack.AddLast(newTrack);
1117         } // end if
1118
1119         //gObjectTable->Print();   // stampa memoria
1120          
1121         RecursiveTracking(&listoftrack);          
1122         listoftrack.Delete();
1123     } // end of for on tracks (index)
1124
1125     //gObjectTable->Print();   // stampa memoria
1126 }
1127 //______________________________________________________________________
1128 Int_t AliITSTrackerV1::Intersection(AliITSTrackV1 &track,Int_t layer,
1129                                     Int_t &ladder,Int_t &detector) { 
1130     // Origin  A. Badala' and G.S. Pappalardo
1131     // e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
1132     // Found the intersection and the detector 
1133
1134     Double_t rk=fAvrad[layer-1];
1135     if(track.DoNotCross(rk)){ /*cout<< " Do not cross \n";*/ return -1;} 
1136     track.Propagation(rk);
1137     Double_t zinters=track.GetZ();
1138     Double_t phinters=track.Getphi();
1139     //cout<<"zinters = "<<zinters<<"  phinters = "<<phinters<<"\n";
1140
1141     TVector det(9);
1142     TVector listDet(2);
1143     TVector distZCenter(2);
1144
1145     Int_t iz=0; 
1146     Int_t iD;
1147     for(iD = 1; iD<= fNdet[layer-1]; iD++) {
1148         if(zinters > fzmin[layer-1][iD-1] && zinters <= fzmax[layer-1][iD-1]) {
1149             if(iz>1) {
1150                 cout<< " Errore su iz in Intersection \n";
1151                 getchar();
1152             }else {
1153                 listDet(iz)= iD; distZCenter(iz)=TMath::Abs(zinters-det(2));
1154                 iz++;
1155             } // end if
1156         } // end if
1157     } // end for iD
1158
1159     if(iz==0) {/* cout<< " No detector along Z \n";*/ return -2;}
1160     detector=Int_t (listDet(0));
1161     if(iz>1 && (distZCenter(0)>distZCenter(1)))   detector=Int_t (listDet(1));
1162
1163     TVector listLad(2);
1164     TVector distPhiCenter(2);
1165     Int_t ip=0;
1166     Double_t pigre=TMath::Pi();
1167     Int_t iLd;   
1168     for(iLd = 1; iLd<= fNlad[layer-1]; iLd++) {
1169         Double_t phimin=fphimin[layer-1][iLd-1];
1170         Double_t phimax=fphimax[layer-1][iLd-1];
1171         Double_t phidet=fphidet[layer-1][iLd-1];
1172         Double_t phiconfr=phinters;
1173         if(phimin>phimax) {  
1174             //if(phimin <5.5) {cout<<" Error in Intersection for phi \n";
1175             // getchar();}
1176             phimin-=(2.*pigre);
1177             if(phinters>(1.5*pigre)) phiconfr=phinters-(2.*pigre); 
1178             if(phidet>(1.5*pigre)) phidet-=(2.*pigre);
1179         } // end if
1180         if(phiconfr>phimin && phiconfr<= phimax) {
1181             if(ip>1) {
1182                 cout<< " Errore su ip in Intersection \n"; getchar();
1183             }else  {
1184                 listLad(ip)= iLd;
1185                 distPhiCenter(ip)=TMath::Abs(phiconfr-phidet); ip++;
1186             } // end if
1187         } // end if
1188     } // end for iLd
1189     if(ip==0) { cout<< " No detector along phi \n"; getchar();}
1190     ladder=Int_t (listLad(0));
1191     if(ip>1 && (distPhiCenter(0)>distPhiCenter(1)))  ladder=Int_t (listLad(1));
1192     return 0;
1193 }
1194 //______________________________________________________________________
1195 void AliITSTrackerV1::KalmanFilter(AliITSTrackV1 *newTrack,TVector &cluster,
1196                                    Double_t sigma[2]){ 
1197     //Origin  A. Badala' and G.S. Pappalardo:
1198     // e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
1199     // Kalman filter without vertex constraint
1200     ////// Evaluation of the measurement vector ////////////////////////
1201     Double_t m[2];
1202     Double_t rk,phik,zk;
1203     rk=cluster(0);   phik=cluster(1);  zk=cluster(2);
1204     m[0]=phik;    m[1]=zk;
1205     //////////////////////// Evaluation of the error matrix V  /////////
1206     Double_t v00=sigma[0];
1207     Double_t v11=sigma[1];
1208     ////////////////////////////////////////////////////////////////////  
1209     Double_t cin00,cin10,cin20,cin30,cin40,cin11,cin21,cin31,cin41,cin22,
1210              cin32,cin42,cin33,cin43,cin44;
1211
1212     newTrack->GetCElements(cin00,
1213                            cin10,cin11,
1214                            cin20,cin21,cin22,
1215                            cin30,cin31,cin32,cin33,
1216                            cin40,cin41,cin42,cin43,cin44); //get C matrix
1217     Double_t rold00=cin00+v00;
1218     Double_t rold10=cin10;
1219     Double_t rold11=cin11+v11;
1220     ////////////////////// R matrix inversion  /////////////////////////
1221     Double_t det=rold00*rold11-rold10*rold10;
1222     Double_t r00=rold11/det;
1223     Double_t r10=-rold10/det;
1224     Double_t r11=rold00/det;
1225     ////////////////////////////////////////////////////////////////////
1226     Double_t k00=cin00*r00+cin10*r10;
1227     Double_t k01=cin00*r10+cin10*r11;
1228     Double_t k10=cin10*r00+cin11*r10;  
1229     Double_t k11=cin10*r10+cin11*r11;
1230     Double_t k20=cin20*r00+cin21*r10;  
1231     Double_t k21=cin20*r10+cin21*r11;  
1232     Double_t k30=cin30*r00+cin31*r10;  
1233     Double_t k31=cin30*r10+cin31*r11;  
1234     Double_t k40=cin40*r00+cin41*r10;
1235     Double_t k41=cin40*r10+cin41*r11;
1236     Double_t x0,x1,x2,x3,x4;
1237     newTrack->GetXElements(x0,x1,x2,x3,x4);     // get the state vector
1238     Double_t savex0=x0, savex1=x1;
1239     x0+=k00*(m[0]-savex0)+k01*(m[1]-savex1);
1240     x1+=k10*(m[0]-savex0)+k11*(m[1]-savex1);
1241     x2+=k20*(m[0]-savex0)+k21*(m[1]-savex1);
1242     x3+=k30*(m[0]-savex0)+k31*(m[1]-savex1);
1243     x4+=k40*(m[0]-savex0)+k41*(m[1]-savex1);
1244     Double_t c00,c10,c20,c30,c40,c11,c21,c31,c41,c22,c32,c42,c33,c43,c44;
1245     c00=cin00-k00*cin00-k01*cin10;
1246     c10=cin10-k00*cin10-k01*cin11;
1247     c20=cin20-k00*cin20-k01*cin21;
1248     c30=cin30-k00*cin30-k01*cin31;
1249     c40=cin40-k00*cin40-k01*cin41;
1250     c11=cin11-k10*cin10-k11*cin11;
1251     c21=cin21-k10*cin20-k11*cin21;
1252     c31=cin31-k10*cin30-k11*cin31;
1253     c41=cin41-k10*cin40-k11*cin41;
1254     c22=cin22-k20*cin20-k21*cin21;
1255     c32=cin32-k20*cin30-k21*cin31;
1256     c42=cin42-k20*cin40-k21*cin41;
1257     c33=cin33-k30*cin30-k31*cin31;
1258     c43=cin43-k30*cin40-k31*cin41;
1259     c44=cin44-k40*cin40-k41*cin41;
1260     newTrack->PutXElements(x0,x1,x2,x3,x4);  // put the new state vector
1261     newTrack->PutCElements(c00,
1262                            c10,c11,
1263                            c20,c21,c22,
1264                            c30,c31,c32,c33,
1265                            c40,c41,c42,c43,c44); // put in track the
1266                                                  // new cov matrix 
1267     Double_t vmcold00=v00-c00;
1268     Double_t vmcold10=-c10;
1269     Double_t vmcold11=v11-c11;
1270     ////////////////////// Matrix vmc inversion  ///////////////////////
1271     det=vmcold00*vmcold11-vmcold10*vmcold10;
1272     Double_t vmc00=vmcold11/det;
1273     Double_t vmc10=-vmcold10/det;
1274     Double_t vmc11=vmcold00/det;
1275     ////////////////////////////////////////////////////////////////////
1276   Double_t chi2=(m[0]-x0)*( vmc00*(m[0]-x0) + 2.*vmc10*(m[1]-x1) ) +
1277                 (m[1]-x1)*vmc11*(m[1]-x1);
1278   newTrack->SetChi2(newTrack->GetChi2()+chi2);
1279 }
1280 //----------------------------------------------------------------------
1281 //void AliITSTrackerV1::KalmanFilterVert(AliITSTrackV1 *newTrack,
1282 //                                       TVector &cluster,Double_t sigma[2]){
1283 void AliITSTrackerV1::KalmanFilterVert(AliITSTrackV1 *newTrack,
1284                                        TVector &cluster,Double_t sigma[2]
1285                                        /*, Double_t chi2pred*/){
1286     //Origin  A. Badala' and G.S. Pappalardo:
1287     // e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it 
1288     // Kalman filter with vertex constraint
1289     ///////////////////// Evaluation of the measurement vector m ////////
1290     Double_t m[4];
1291     Double_t rk,phik,zk;
1292     rk=cluster(0);   phik=cluster(1);  zk=cluster(2);
1293     m[0]=phik;    m[1]=zk;
1294     Double_t cc=(*newTrack).GetC();
1295     Double_t zv=(*newTrack).GetZv(); 
1296     Double_t dv=(*newTrack).GetDv();
1297     Double_t cy=cc/2.;
1298     Double_t tgl= (zk-zv)*cy/TMath::ASin(cy*rk);
1299     m[2]=dv;    m[3]=tgl;
1300     /////////////////////// Evaluation of the error matrix V  //////////
1301     Int_t layer=newTrack->GetLayer();
1302     Double_t v00=sigma[0];
1303     Double_t v11=sigma[1];
1304     Double_t v31=sigma[1]/rk;
1305     Double_t sigmaDv=newTrack->GetsigmaDv();
1306     Double_t v22=sigmaDv*sigmaDv  + newTrack->Getd2(layer-1);
1307     Double_t v32=newTrack->Getdtgl(layer-1);
1308     Double_t sigmaZv=newTrack->GetsigmaZv();  
1309     Double_t v33=(sigma[1]+sigmaZv*sigmaZv)/(rk*rk)+newTrack->Gettgl2(layer-1);
1310     //////////////////////////////////////////////////////////////////
1311     Double_t cin00,cin10,cin11,cin20,cin21,cin22,
1312              cin30,cin31,cin32,cin33,cin40,cin41,cin42,cin43,cin44;
1313     newTrack->GetCElements(cin00,
1314                            cin10,cin11,
1315                            cin20,cin21,cin22,
1316                            cin30,cin31,cin32,cin33,
1317                            cin40,cin41,cin42,cin43,cin44); //get C matrix
1318     Double_t r[4][4];
1319     r[0][0]=cin00+v00;
1320     r[1][0]=cin10;
1321     r[2][0]=cin20;
1322     r[3][0]=cin30;
1323     r[1][1]=cin11+v11;
1324     r[2][1]=cin21;
1325     r[3][1]=cin31+sigma[1]/rk;
1326     r[2][2]=cin22+sigmaDv*sigmaDv+newTrack->Getd2(layer-1);
1327     r[3][2]=cin32+newTrack->Getdtgl(layer-1);
1328     r[3][3]=cin33+(sigma[1]+sigmaZv*sigmaZv)/(rk*rk)+
1329                                     newTrack->Gettgl2(layer-1);
1330     r[0][1]=r[1][0]; r[0][2]=r[2][0]; r[0][3]=r[3][0]; 
1331     r[1][2]=r[2][1]; r[1][3]=r[3][1]; r[2][3]=r[3][2];
1332     /////////////////////  Matrix R inversion //////////////////////////
1333     const Int_t kn=4;
1334     Double_t big, hold;
1335     Double_t d=1.;
1336     Int_t ll[kn],mm[kn];
1337     Int_t i,j,k;
1338
1339     for(k=0; k<kn; k++) {
1340         ll[k]=k;
1341         mm[k]=k;
1342         big=r[k][k];
1343         for(j=k; j<kn ; j++) {
1344             for (i=j; i<kn; i++) {
1345                 if(TMath::Abs(big) < TMath::Abs(r[i][j]) ) { 
1346                     big=r[i][j]; 
1347                     ll[k]=i; 
1348                     mm[k]=j; 
1349                 } // end if
1350             } // end for i
1351         } // end for j
1352         //
1353         j= ll[k];
1354         if(j > k) {
1355             for(i=0; i<kn; i++) {
1356                 hold=-r[k][i]; 
1357                 r[k][i]=r[j][i]; 
1358                 r[j][i]=hold;
1359             } // end for i
1360         }// end if
1361         //
1362         i=mm[k];
1363         if(i > k ) { 
1364             for(j=0; j<kn; j++) {
1365                 hold=-r[j][k];
1366                 r[j][k]=r[j][i]; 
1367                 r[j][i]=hold; 
1368             } // end for j
1369         } // end if
1370         //
1371         if(!big) {
1372             d=0.;
1373             cout << "Singular matrix\n"; 
1374         } // end if
1375         for(i=0; i<kn; i++) {
1376             if(i == k) { continue; }    
1377             r[i][k]=r[i][k]/(-big);
1378         } // end for i
1379         //
1380         for(i=0; i<kn; i++) {
1381             hold=r[i][k];
1382             for(j=0; j<kn; j++) {
1383                 if(i == k || j == k) continue;
1384                 r[i][j]=hold*r[k][j]+r[i][j];
1385             } // end for j
1386         } // end of ri
1387         // 
1388         for(j=0; j<kn; j++) {
1389             if(j == k) continue;
1390             r[k][j]=r[k][j]/big;
1391         } // end for j
1392         //
1393         d=d*big;
1394         //
1395         r[k][k]=1./big;        
1396     } // end for k
1397     //
1398     for(k=kn-1; k>=0; k--) {
1399         i=ll[k];
1400         if(i > k) {
1401             for (j=0; j<kn; j++) {
1402                 hold=r[j][k];
1403                 r[j][k]=-r[j][i]; 
1404                 r[j][i]=hold;
1405             } // end for j
1406         } // end if i
1407         j=mm[k];
1408         if(j > k) {
1409             for (i=0; i<kn; i++) {
1410                 hold=r[k][i]; 
1411                 r[k][i]=-r[j][i]; 
1412                 r[j][i]=hold;
1413             } // end for i
1414         } // end if
1415     } // end for k
1416     ////////////////////////////////////////////////////////////////////
1417     Double_t k00=cin00*r[0][0]+cin10*r[1][0]+cin20*r[2][0]+cin30*r[3][0];
1418     Double_t k01=cin00*r[1][0]+cin10*r[1][1]+cin20*r[2][1]+cin30*r[3][1];
1419     Double_t k02=cin00*r[2][0]+cin10*r[2][1]+cin20*r[2][2]+cin30*r[3][2];
1420     Double_t k03=cin00*r[3][0]+cin10*r[3][1]+cin20*r[3][2]+cin30*r[3][3];
1421     Double_t k10=cin10*r[0][0]+cin11*r[1][0]+cin21*r[2][0]+cin31*r[3][0];  
1422     Double_t k11=cin10*r[1][0]+cin11*r[1][1]+cin21*r[2][1]+cin31*r[3][1];
1423     Double_t k12=cin10*r[2][0]+cin11*r[2][1]+cin21*r[2][2]+cin31*r[3][2];
1424     Double_t k13=cin10*r[3][0]+cin11*r[3][1]+cin21*r[3][2]+cin31*r[3][3];
1425     Double_t k20=cin20*r[0][0]+cin21*r[1][0]+cin22*r[2][0]+cin32*r[3][0];  
1426     Double_t k21=cin20*r[1][0]+cin21*r[1][1]+cin22*r[2][1]+cin32*r[3][1];  
1427     Double_t k22=cin20*r[2][0]+cin21*r[2][1]+cin22*r[2][2]+cin32*r[3][2];
1428     Double_t k23=cin20*r[3][0]+cin21*r[3][1]+cin22*r[3][2]+cin32*r[3][3];
1429     Double_t k30=cin30*r[0][0]+cin31*r[1][0]+cin32*r[2][0]+cin33*r[3][0];  
1430     Double_t k31=cin30*r[1][0]+cin31*r[1][1]+cin32*r[2][1]+cin33*r[3][1];  
1431     Double_t k32=cin30*r[2][0]+cin31*r[2][1]+cin32*r[2][2]+cin33*r[3][2];  
1432     Double_t k33=cin30*r[3][0]+cin31*r[3][1]+cin32*r[3][2]+cin33*r[3][3];
1433     Double_t k40=cin40*r[0][0]+cin41*r[1][0]+cin42*r[2][0]+cin43*r[3][0];
1434     Double_t k41=cin40*r[1][0]+cin41*r[1][1]+cin42*r[2][1]+cin43*r[3][1];
1435     Double_t k42=cin40*r[2][0]+cin41*r[2][1]+cin42*r[2][2]+cin43*r[3][2];  
1436     Double_t k43=cin40*r[3][0]+cin41*r[3][1]+cin42*r[3][2]+cin43*r[3][3];
1437
1438     Double_t x0,x1,x2,x3,x4;
1439     newTrack->GetXElements(x0,x1,x2,x3,x4);     // get the state vector
1440     Double_t savex0=x0, savex1=x1, savex2=x2, savex3=x3;
1441     x0+=k00*(m[0]-savex0)+k01*(m[1]-savex1)+k02*(m[2]-savex2)+
1442         k03*(m[3]-savex3);
1443     x1+=k10*(m[0]-savex0)+k11*(m[1]-savex1)+k12*(m[2]-savex2)+
1444         k13*(m[3]-savex3);
1445     x2+=k20*(m[0]-savex0)+k21*(m[1]-savex1)+k22*(m[2]-savex2)+
1446         k23*(m[3]-savex3);
1447     x3+=k30*(m[0]-savex0)+k31*(m[1]-savex1)+k32*(m[2]-savex2)+
1448         k33*(m[3]-savex3);
1449     x4+=k40*(m[0]-savex0)+k41*(m[1]-savex1)+k42*(m[2]-savex2)+
1450         k43*(m[3]-savex3);
1451     Double_t c00,c10,c20,c30,c40,c11,c21,c31,c41,c22,c32,c42,c33,c43,c44;
1452     c00=cin00-k00*cin00-k01*cin10-k02*cin20-k03*cin30;
1453     c10=cin10-k00*cin10-k01*cin11-k02*cin21-k03*cin31;
1454     c20=cin20-k00*cin20-k01*cin21-k02*cin22-k03*cin32;
1455     c30=cin30-k00*cin30-k01*cin31-k02*cin32-k03*cin33;
1456     c40=cin40-k00*cin40-k01*cin41-k02*cin42-k03*cin43;
1457     c11=cin11-k10*cin10-k11*cin11-k12*cin21-k13*cin31;
1458     c21=cin21-k10*cin20-k11*cin21-k12*cin22-k13*cin32;
1459     c31=cin31-k10*cin30-k11*cin31-k12*cin32-k13*cin33;
1460     c41=cin41-k10*cin40-k11*cin41-k12*cin42-k13*cin43;
1461     c22=cin22-k20*cin20-k21*cin21-k22*cin22-k23*cin32;
1462     c32=cin32-k20*cin30-k21*cin31-k22*cin32-k23*cin33;
1463     c42=cin42-k20*cin40-k21*cin41-k22*cin42-k23*cin43;
1464     c33=cin33-k30*cin30-k31*cin31-k32*cin32-k33*cin33;
1465     c43=cin43-k30*cin40-k31*cin41-k32*cin42-k33*cin43;
1466     c44=cin44-k40*cin40-k41*cin41-k42*cin42-k43*cin43;
1467
1468     newTrack->PutXElements(x0,x1,x2,x3,x4); // put the new state vector
1469     newTrack->PutCElements(c00,
1470                            c10,c11,
1471                            c20,c21,c22,
1472                            c30,c31,c32,c33,
1473                            c40,c41,c42,c43,c44); // put in track the
1474                                                  // new cov matrix
1475     Double_t vmc[4][4];
1476     vmc[0][0]=v00-c00; vmc[1][0]=-c10; vmc[2][0]=-c20; vmc[3][0]=-c30;
1477     vmc[1][1]=v11-c11; vmc[2][1]=-c21; vmc[3][1]=v31-c31;
1478     vmc[2][2]=v22-c22; vmc[3][2]=v32-c32;
1479     vmc[3][3]=v33-c33;
1480     vmc[0][1]=vmc[1][0]; vmc[0][2]=vmc[2][0]; vmc[0][3]=vmc[3][0];
1481     vmc[1][2]=vmc[2][1]; vmc[1][3]=vmc[3][1];
1482     vmc[2][3]=vmc[3][2];
1483     /////////////////////// vmc matrix inversion /////////////////////// 
1484     d=1.;
1485     for(k=0; k<kn; k++) {
1486         ll[k]=k;
1487         mm[k]=k;
1488         big=vmc[k][k];
1489         for(j=k; j<kn ; j++) {
1490             for (i=j; i<kn; i++) {
1491                 if(TMath::Abs(big) < TMath::Abs(vmc[i][j]) ) {
1492                     big=vmc[i][j]; 
1493                     ll[k]=i;
1494                     mm[k]=j;
1495                 } // end if
1496             } // end for i
1497         } // end for j
1498         //
1499         j= ll[k];
1500         if(j > k) {
1501             for(i=0; i<kn; i++) {
1502                 hold=-vmc[k][i]; 
1503                 vmc[k][i]=vmc[j][i];
1504                 vmc[j][i]=hold;
1505             } // end for i
1506         } // end if
1507         //
1508         i=mm[k];
1509         if(i > k ) { 
1510             for(j=0; j<kn; j++) { 
1511                 hold=-vmc[j][k]; 
1512                 vmc[j][k]=vmc[j][i]; 
1513                 vmc[j][i]=hold; 
1514             } // end for j
1515         } // end if
1516         //
1517         if(!big) {
1518             d=0.;
1519             cout << "Singular matrix\n"; 
1520         } // end if
1521         for(i=0; i<kn; i++) {
1522             if(i == k) continue;    
1523             vmc[i][k]=vmc[i][k]/(-big);
1524         }    // end for i
1525         //
1526         for(i=0; i<kn; i++) {
1527             hold=vmc[i][k];
1528             for(j=0; j<kn; j++) {
1529                 if(i == k || j == k) continue;
1530                 vmc[i][j]=hold*vmc[k][j]+vmc[i][j];
1531             } // end for j
1532         } // end for i
1533         //  
1534         for(j=0; j<kn; j++) {
1535             if(j == k) continue;
1536             vmc[k][j]=vmc[k][j]/big;
1537         } // end for j
1538         //
1539         d=d*big;
1540         //
1541         vmc[k][k]=1./big;        
1542     }  // end for k
1543     //  
1544     for(k=kn-1; k>=0; k--) {
1545         i=ll[k];
1546         if(i > k) {
1547             for (j=0; j<kn; j++) {
1548                 hold=vmc[j][k]; 
1549                 vmc[j][k]=-vmc[j][i];
1550                 vmc[j][i]=hold;
1551             } // end for j
1552         } // end if i>k
1553         j=mm[k];
1554         if(j > k) {
1555             for (i=0; i<kn; i++) {
1556                 hold=vmc[k][i]; 
1557                 vmc[k][i]=-vmc[j][i]; 
1558                 vmc[j][i]=hold;
1559             } // end for i
1560         } // end if j>k
1561     } // end for k
1562     ////////////////////////////////////////////////////////////////////
1563     Double_t chi2=(m[0]-x0)*( vmc[0][0]*(m[0]-x0) + 2.*vmc[1][0]*(m[1]-x1) + 
1564                               2.*vmc[2][0]*(m[2]-x2)+ 2.*vmc[3][0]*(m[3]-x3) )+
1565         (m[1]-x1)* ( vmc[1][1]*(m[1]-x1) + 2.*vmc[2][1]*(m[2]-x2)+ 
1566                      2.*vmc[3][1]*(m[3]-x3) ) +
1567         (m[2]-x2)* ( vmc[2][2]*(m[2]-x2)+ 2.*vmc[3][2]*(m[3]-x3) ) +
1568         (m[3]-x3)*vmc[3][3]*(m[3]-x3);
1569     //cout<<" chi2 kalman = "<<chi2<<"\n";  getchar(); 
1570     newTrack->SetChi2(newTrack->GetChi2()+chi2);   
1571     //   newTrack->SetChi2(newTrack->GetChi2()+chi2pred);
1572 }