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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 1.19  2001/11/21 10:49:07  barbera
19 Bug correction suggested by Rene done
20
21 Revision 1.18  2001/11/20 15:46:17  barbera
22 Point coordinated are calculated in cylindrical reference frame once and for all at the beginning of tracking V1
23
24 Revision 1.10.2.1  2001/10/24 07:26:04  hristov
25 All the changes from the head are merged with the release
26
27 Revision 1.14  2001/10/24 07:19:57  hristov
28 Some pointer correctly initialised in one of the constructors
29
30 Revision 1.13  2001/10/21 19:17:12  hristov
31 Several pointers were set to zero in the default constructors to avoid memory management problems
32
33 Revision 1.12  2001/10/19 21:32:35  nilsen
34 Minor changes to remove compliation warning on gcc 2.92.2 compiler, and
35 cleanded up a little bit of code.
36
37 */
38 //     The purpose of this class is to permorm the ITS tracking. The 
39 // constructor has the task to inizialize some private members. The method 
40 // DoTracking is written to be called by a macro. It gets the event number,
41 // the minimum and maximum order number of TPC tracks that are to be tracked
42 // trough the ITS, and the file where the recpoints are registered. The 
43 // method Recursivetracking is a recursive function that performs the 
44 // tracking trough the ITS The method Intersection found the layer, ladder 
45 // and detector whre the intersection take place and caluclate the 
46 // cohordinates of this intersection. It returns an integer that is 0 if the 
47 // intersection has been found successfully. The two mwthods Kalmanfilter 
48 // and kalmanfiltervert operate the kalmanfilter without and with the vertex
49 // imposition respectively. The authors thank Mariana Bondila to have help 
50 // them to resolve some problems.  July-2000
51
52 #include <fstream.h>
53 #include <TMath.h>
54 #include <TBranch.h>
55 #include <TVector.h>
56 #include <TFile.h>
57 #include <TTree.h>
58 #include <TStopwatch.h>
59
60 #include "TParticle.h"
61 #include "AliRun.h"
62 #include "AliITS.h"
63 #include "AliITSsegmentationSSD.h"
64 #include "AliITSgeomSPD.h"
65 #include "AliITSgeomSDD.h"
66 #include "AliITSgeomSSD.h"
67 #include "AliITSgeom.h"
68 #include "AliITSRecPoint.h"
69 #include "stdlib.h"
70 #include "AliKalmanTrack.h" 
71 #include "AliMagF.h"
72 #include "AliITSTrackV1.h"
73 #include "AliITSIOTrack.h"
74 #include "AliITSRad.h"   
75 #include "../TPC/AliTPCtracker.h"
76 #include "AliITSTrackerV1.h"
77 #include "AliITSVertex.h"
78
79 ClassImp(AliITSTrackerV1)
80  //______________________________________________________________________
81 AliITSTrackerV1::AliITSTrackerV1() {
82   //Default constructor
83   fITS = 0;
84   fresult = 0;
85   fPtref=0.;
86   fChi2max=0.;
87   //fepsphi=0.;
88   //fepsz=0.;
89   frecPoints = 0;
90   fvettid = 0;
91   fflagvert=0;
92   frl = 0;
93   Int_t ia;
94   for(ia=0; ia<6; ia++) {
95   fNlad[ia]=0;
96   fNdet[ia]=0;
97   fAvrad[ia]=0.;
98   fDetx[ia]=0.;
99   fDetz[ia]=0.; 
100   } // end for ia  
101   fzmin = 0;
102   fzmax = 0;
103   fphimin = 0;
104   fphimax = 0;
105   fphidet = 0;
106   fNRecPoints=0;
107   fRecCylR=0;
108   fRecCylPhi=0;
109   fRecCylZ=0;
110   fFieldFactor=0;
111 }
112 //______________________________________________________________________
113 AliITSTrackerV1::AliITSTrackerV1(AliITS* IITTSS, Int_t evnumber, Bool_t flag) {
114     //Origin   A. Badala' and G.S. Pappalardo:  
115     // e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
116     // Class constructor. It does some initializations.
117
118   //PH Initialisation taken from the default constructor
119     fITS      = IITTSS;
120     fresult = 0;
121     fPtref    = 0.;
122     fChi2max  =0.; 
123     frecPoints = 0;              
124     fvettid = 0;
125     fflagvert = flag;    
126     frl = 0;
127     fzmin = 0;
128     fzmax = 0;
129     fphimin = 0;
130     fphimax = 0;
131     fphidet = 0;
132   
133     Int_t imax = 200,jmax = 450;
134     frl       = new AliITSRad(imax,jmax);
135
136     //////////  gets information on geometry /////////////////////////////
137          AliITSgeom *g1 = fITS->GetITSgeom();  
138     Int_t ll=1, dd=1;
139     TVector det(9);
140
141     Int_t ia;
142     for(ia=0; ia<6; ia++) {
143         fNlad[ia]=g1->GetNladders(ia+1);
144         fNdet[ia]=g1->GetNdetectors(ia+1);
145         //cout<<fNlad[i]<<" "<<fNdet[i]<<"\n"; 
146     } // end for ia
147
148     //cout<<" mean radius = ";
149     Int_t ib;
150     for(ib=0; ib<6; ib++) {  
151         g1->GetCenterThetaPhi(ib+1,ll,dd,det);
152         Double_t r1=TMath::Sqrt(det(0)*det(0)+det(1)*det(1));
153         g1->GetCenterThetaPhi(ib+1,ll,dd+1,det);
154         Double_t r2=TMath::Sqrt(det(0)*det(0)+det(1)*det(1));
155         fAvrad[ib]=(r1+r2)/2.;
156         //cout<<fAvrad[ib]<<" ";
157     } // end for ib
158     //cout<<"\n"; getchar();
159
160     fDetx[0] = ((AliITSgeomSPD*)(g1->GetShape(1, ll, dd)))->GetDx();
161     fDetz[0] = ((AliITSgeomSPD*)(g1->GetShape(1, ll, dd)))->GetDz();
162
163     fDetx[1] = ((AliITSgeomSPD*)(g1->GetShape(2, ll, dd)))->GetDx();
164     fDetz[1] = ((AliITSgeomSPD*)(g1->GetShape(2, ll, dd)))->GetDz();
165
166     fDetx[2] = ((AliITSgeomSDD*)(g1->GetShape(3, ll, dd)))->GetDx();
167     fDetz[2] = ((AliITSgeomSDD*)(g1->GetShape(3, ll, dd)))->GetDz();
168
169     fDetx[3] = ((AliITSgeomSDD*)(g1->GetShape(4, ll, dd)))->GetDx();
170     fDetz[3] = ((AliITSgeomSDD*)(g1->GetShape(4, ll, dd)))->GetDz();
171
172     fDetx[4] = ((AliITSgeomSSD*)(g1->GetShape(5, ll, dd)))->GetDx();
173     fDetz[4] = ((AliITSgeomSSD*)(g1->GetShape(5, ll, dd)))->GetDz();
174
175     fDetx[5] = ((AliITSgeomSSD*)(g1->GetShape(6, ll, dd)))->GetDx();
176     fDetz[5] = ((AliITSgeomSSD*)(g1->GetShape(6, ll, dd)))->GetDz();
177     //cout<<"    Detx     Detz\n";
178     //for(Int_t la=0; la<6; la++) cout<<"    "<<fDetx[la]<<"     "<<
179     //                                 fDetz[la]<<endl;
180     //getchar();
181          
182     // allocate memory and define matrices fzmin, fzmax, fphimin and fphimax //
183     Double_t epsz=1.2;
184     Double_t epszdrift=0.05;
185
186     fzmin = new Double_t*[6]; fzmax = new Double_t*[6];
187     Int_t im1, im2, im2max;
188     for(im1=0; im1<6; im1++) {
189         im2max=fNdet[im1];
190         fzmin[im1] = new Double_t[im2max]; fzmax[im1] = new Double_t[im2max];
191     } // end for im1
192
193     for(im1=0; im1<6; im1++) {
194         im2max=fNdet[im1];
195         for(im2=0; im2<im2max; im2++) {
196             g1->GetCenterThetaPhi(im1+1,1,im2+1,det);
197             if(im2!=0) fzmin[im1][im2]=det(2)-fDetz[im1];
198             else   
199                 fzmin[im1][im2]=det(2)-(fDetz[im1])*epsz;
200             if(im2!=(im2max-1)) fzmax[im1][im2]=det(2)+fDetz[im1];
201             else
202                 fzmax[im1][im2]=det(2)+fDetz[im1]*epsz;
203             if(im1==2 || im1==3) {
204                 fzmin[im1][im2]-=epszdrift;
205                 fzmax[im1][im2]+=epszdrift;
206             } // end if im1==2 || im1==3
207         } // end for im2
208     } // end for im1
209
210     fphimin = new Double_t*[6]; fphimax = new Double_t*[6];
211     for(im1=0;im1<6;im1++) {
212         im2max=fNlad[im1];
213         fphimin[im1] = new Double_t[im2max]; 
214         fphimax[im1] = new Double_t[im2max];
215     } // end for im1
216   
217     fphidet = new Double_t*[6];
218     for(im1=0; im1<6; im1++) {
219         im2max=fNlad[im1];
220         fphidet[im1] = new Double_t[im2max];
221     } // end for im1
222
223     //Float_t global[3],local[3];
224          Double_t global[3],local[3];
225     Double_t pigre=TMath::Pi();
226     Double_t xmin,ymin,xmax,ymax;
227
228     for(im1=0; im1<6; im1++) {
229         im2max=fNlad[im1];
230         for(im2=0; im2<im2max; im2++) {
231             Int_t idet=2;
232             g1->GetCenterThetaPhi(im1+1,im2+1,idet,det);
233             fphidet[im1][im2] = TMath::ATan2(Double_t(det(1)),
234                                              Double_t(det(0))); 
235             if(fphidet[im1][im2]<0.) fphidet[im1][im2]+=2.*pigre;  
236             local[1]=local[2]=0.;  
237             local[0]= -(fDetx[im1]);    
238             if(im1==0) local[0]= (fDetx[im1]); //to take into account 
239                                                // different reference system
240             g1->LtoG(im1+1,im2+1,idet,local,global);
241             xmax=global[0]; ymax=global[1];
242             local[0]= (fDetx[im1]);   
243             if(im1==0) local[0]= -(fDetx[im1]);//take into account different 
244                                                // reference system
245             g1->LtoG(im1+1,im2+1,idet,local,global);
246             xmin=global[0]; ymin=global[1];
247             fphimin[im1][im2]= TMath::ATan2(ymin,xmin);
248             if(fphimin[im1][im2]<0.) fphimin[im1][im2]+=2.*pigre; 
249             fphimax[im1][im2]= TMath::ATan2(ymax,xmax);
250             if(fphimax[im1][im2]<0.) fphimax[im1][im2]+=2.*pigre;
251         } // end for im2
252     } // end for im1
253 //////////////////////////////////////////////////////////////////////////////////////////////////////////
254 /////////////// allocate memory and define vector fNRecPoints and matrices fRecCylR, fRecCylPhi, fRecCylZ /////////////
255         gAlice->GetEvent(evnumber);
256   Int_t NumOfModules = g1->GetIndexMax();
257   //fRecCylR = new Float_t *[NumOfModules];
258   fRecCylR = new Double_t *[NumOfModules];
259   //fRecCylPhi = new Float_t *[NumOfModules];
260   fRecCylPhi = new Double_t *[NumOfModules]; 
261   //fRecCylZ = new Float_t *[NumOfModules];
262   fRecCylZ = new Double_t *[NumOfModules];
263   AliITSRecPoint *recp;
264   fNRecPoints = new Int_t[NumOfModules];
265    
266                  for(Int_t module=0; module<NumOfModules; module++) {                           
267                   fITS->ResetRecPoints();                    
268         gAlice->TreeR()->GetEvent(module);                
269                   frecPoints=fITS->RecPoints();
270                   Int_t nRecPoints=fNRecPoints[module]=frecPoints->GetEntries();
271                   /*
272                   fRecCylR[module] = new Float_t[nRecPoints];
273                   fRecCylPhi[module] = new Float_t[nRecPoints];
274                   fRecCylZ[module] = new Float_t[nRecPoints];
275                   */
276                   fRecCylR[module] = new Double_t[nRecPoints];
277                   fRecCylPhi[module] = new Double_t[nRecPoints];
278                   fRecCylZ[module] = new  Double_t[nRecPoints];           
279                   Int_t ind;
280                   for(ind=0; ind<fNRecPoints[module]; ind++) {    
281                     recp=(AliITSRecPoint*)frecPoints->UncheckedAt(ind);                                          
282                         // Float_t global[3], local[3];
283                          Double_t global[3], local[3];
284                local[0]=recp->GetX();
285                local[1]=0.;
286                local[2]= recp->GetZ();                                  
287                          g1->LtoG(module,local,global);
288                          /*
289                          Float_t r = TMath::Sqrt(global[0]*global[0]+global[1]*global[1]);                     // r hit
290                          Float_t phi = TMath::ATan2(global[1],global[0]); if(phi<0.) phi+=2.*TMath::Pi();      // phi hit                       
291           Float_t z = global[2];                                                               // z hit
292                          */
293                                                                                          
294                          Double_t r = TMath::Sqrt(global[0]*global[0]+global[1]*global[1]);                     // r hit
295                          Double_t phi = TMath::ATan2(global[1],global[0]); if(phi<0.) phi+=2.*TMath::Pi();      // phi hit                      
296           Double_t z = global[2];                                                                // z hit
297                                                                                                                                                                                                                                      
298                          fRecCylR[module][ind]=r;
299                          fRecCylPhi[module][ind]=phi;
300                          fRecCylZ[module][ind]=z;                        
301                   }             
302                 }        
303          //}  
304   //}
305 ////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
306          
307
308     ////////// gets magnetic field factor //////////////////////////////
309
310     AliMagF * fieldPointer = gAlice->Field();
311     fFieldFactor = (Double_t)fieldPointer->Factor();
312     //cout<< " field factor = "<<fFieldFactor<<"\n"; getchar();
313 }
314 //______________________________________________________________________
315 AliITSTrackerV1::AliITSTrackerV1(const AliITSTrackerV1 &cobj) {
316     // Origin  A. Badala' and G.S. Pappalardo:
317     // e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
318     // copy constructor
319          
320          *fITS = *cobj.fITS;
321     *fresult = *cobj.fresult;
322     fPtref = cobj.fPtref;
323     fChi2max = cobj.fChi2max;    
324     **fvettid = **cobj.fvettid;
325     fflagvert = cobj.fflagvert;
326     Int_t imax=200,jmax=450;
327     frl = new AliITSRad(imax,jmax);      
328     *frl = *cobj.frl;
329     fFieldFactor = cobj.fFieldFactor;
330     Int_t i,im1,im2,im2max;
331     for(i=0; i<6; i++) {
332         fNlad[i] = cobj.fNlad[i];
333         fNdet[i] = cobj.fNdet[i]; 
334         fAvrad[i] = cobj.fAvrad[i];
335         fDetx[i] = cobj.fDetx[i];
336         fDetz[i] = cobj.fDetz[i];
337     } // end or i
338     fzmin = new Double_t*[6]; fzmax = new Double_t*[6];
339     for(im1=0; im1<6; im1++) {
340         im2max=fNdet[im1];
341         fzmin[im1] = new Double_t[im2max];
342         fzmax[im1] = new Double_t[im2max];
343     } // end for im1
344     fphimin = new Double_t*[6]; fphimax = new Double_t*[6];
345     for(im1=0;im1<6;im1++) {
346         im2max=fNlad[im1];
347         fphimin[im1] = new Double_t[im2max];
348         fphimax[im1] = new Double_t[im2max];
349     } // end for im1
350   
351     fphidet = new Double_t*[6];
352     for(im1=0; im1<6; im1++) {
353         im2max=fNlad[im1];
354         fphidet[im1] = new Double_t[im2max];
355     } // end for im1
356     for(im1=0; im1<6; im1++) {
357         im2max=fNdet[im1];
358         for(im2=0; im2<im2max; im2++) {
359             fzmin[im1][im2]=cobj.fzmin[im1][im2];
360             fzmax[im1][im2]=cobj.fzmax[im1][im2];
361         } // end for im2
362     } // end for im1
363     for(im1=0; im1<6; im1++) {
364         im2max=fNlad[im1];
365         for(im2=0; im2<im2max; im2++) {
366             fphimin[im1][im2]=cobj.fphimin[im1][im2];
367             fphimax[im1][im2]=cobj.fphimax[im1][im2];
368             fphidet[im1][im2]=cobj.fphidet[im1][im2];  
369         } // end for im2
370     } // end for im2
371
372
373         AliITSgeom *g1 = fITS->GetITSgeom();  
374    Int_t NumOfModules = g1->GetIndexMax();
375         /*
376   fRecCylR = new Float_t *[NumOfModules];
377   fRecCylPhi = new Float_t *[NumOfModules]; 
378   fRecCylZ = new Float_t *[NumOfModules];
379   */
380   fRecCylR = new Double_t *[NumOfModules];
381   fRecCylPhi = new Double_t *[NumOfModules]; 
382   fRecCylZ = new Double_t *[NumOfModules];  
383   fNRecPoints = new Int_t[NumOfModules];        
384                 for(Int_t module=0; module<NumOfModules; module++) {            
385                   Int_t nRecPoints=fNRecPoints[module]=cobj.fNRecPoints[module];
386                   /*
387                   fRecCylR[module] = new Float_t[nRecPoints];
388                   fRecCylPhi[module] = new Float_t[nRecPoints];
389                   fRecCylZ[module] = new Float_t[nRecPoints];
390                   */
391                   fRecCylR[module] = new Double_t[nRecPoints];
392                   fRecCylPhi[module] = new Double_t[nRecPoints];
393                   fRecCylZ[module] = new Double_t[nRecPoints];            
394                   Int_t ind;    
395                   for(ind=0; ind<nRecPoints; ind++) {       
396                          fRecCylR[module][ind]=cobj.fRecCylR[module][ind];
397                          fRecCylPhi[module][ind]=cobj.fRecCylPhi[module][ind];
398                          fRecCylZ[module][ind]=cobj.fRecCylZ[module][ind];                       
399                   }             
400                 }        
401  
402 }
403 void AliITSTrackerV1::DelMatrix(Int_t NumOfModules) { 
404   for(Int_t mod=0; mod<NumOfModules; mod++) {
405     delete fRecCylR[mod];
406          delete fRecCylPhi[mod];
407          delete fRecCylZ[mod];
408   }
409     delete fRecCylR;
410          delete fRecCylPhi;
411          delete fRecCylZ;
412 }
413 //______________________________________________________________________
414 AliITSTrackerV1::~AliITSTrackerV1(){
415     // Origin  A. Badala' and G.S. Pappalardo:
416     // e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it  
417     // class destructor  
418   delete frl;
419   delete fNRecPoints;
420   for(Int_t i=0; i<6; i++) {
421     delete fzmin[i];
422          delete fzmax[i];
423          delete fphimin[i];
424          delete fphimax[i];
425          delete fphidet[i];
426   }
427
428   delete fzmin;
429   delete fzmax;
430   delete fphimin;
431   delete fphimax;
432   delete fphidet;
433          
434 }
435 //______________________________________________________________________
436 AliITSTrackerV1 &AliITSTrackerV1::operator=(AliITSTrackerV1 obj) {
437     // Origin  A. Badala' and G.S. Pappalardo:
438     // e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it  
439     // assignement operator
440
441          *fITS = *obj.fITS;
442     *fresult = *obj.fresult;
443     fPtref = obj.fPtref;
444     fChi2max = obj.fChi2max;      
445     **fvettid = **obj.fvettid;
446     fflagvert = obj.fflagvert;
447     Int_t imax=200,jmax=450;
448     frl = new AliITSRad(imax,jmax);      
449     *frl = *obj.frl;
450     fFieldFactor = obj.fFieldFactor;
451     Int_t i;
452     for(i=0; i<6; i++) {
453         fNlad[i] = obj.fNlad[i];
454         fNdet[i] = obj.fNdet[i]; 
455         fAvrad[i] = obj.fAvrad[i];
456         fDetx[i] = obj.fDetx[i];
457         fDetz[i] = obj.fDetz[i];
458     } // end for i
459     fzmin = new Double_t*[6];
460     fzmax = new Double_t*[6];
461     Int_t im1, im2, im2max;
462     for(im1=0; im1<6; im1++) {
463         im2max=fNdet[im1];
464         fzmin[im1] = new Double_t[im2max]; fzmax[im1] = new Double_t[im2max];
465     } // end for im1
466     fphimin = new Double_t*[6]; fphimax = new Double_t*[6];
467     for(im1=0;im1<6;im1++) {
468         im2max=fNlad[im1];
469         fphimin[im1] = new Double_t[im2max];
470         fphimax[im1] = new Double_t[im2max];
471     } // end for im1
472
473     fphidet = new Double_t*[6];
474     for(im1=0; im1<6; im1++) {
475         im2max=fNlad[im1];
476         fphidet[im1] = new Double_t[im2max];
477     } // end for im1
478     for(im1=0; im1<6; im1++) {
479         im2max=fNdet[im1];
480         for(im2=0; im2<im2max; im2++) {
481             fzmin[im1][im2]=obj.fzmin[im1][im2];
482             fzmax[im1][im2]=obj.fzmax[im1][im2];
483         } // end for im2
484     } // end for im1
485     for(im1=0; im1<6; im1++) {
486         im2max=fNlad[im1];
487         for(im2=0; im2<im2max; im2++) {
488             fphimin[im1][im2]=obj.fphimin[im1][im2];
489             fphimax[im1][im2]=obj.fphimax[im1][im2];
490             fphidet[im1][im2]=obj.fphidet[im1][im2];  
491         } // end for im2
492     } // end for im1
493
494         AliITSgeom *g1 = fITS->GetITSgeom();  
495    Int_t NumOfModules = g1->GetIndexMax();
496         /*
497   fRecCylR = new Float_t *[NumOfModules];
498   fRecCylPhi = new Float_t *[NumOfModules]; 
499   fRecCylZ = new Float_t *[NumOfModules];
500   */
501   fRecCylR = new Double_t *[NumOfModules];
502   fRecCylPhi = new Double_t *[NumOfModules]; 
503   fRecCylZ = new Double_t *[NumOfModules];  
504   fNRecPoints = new Int_t[NumOfModules];  
505           for(Int_t module=0; module<NumOfModules; module++) {            
506                   Int_t nRecPoints=fNRecPoints[module]=obj.fNRecPoints[module];
507                   /*
508                   fRecCylR[module] = new Float_t[nRecPoints];
509                   fRecCylPhi[module] = new Float_t[nRecPoints];
510                   fRecCylZ[module] = new Float_t[nRecPoints];
511                   */
512                   fRecCylR[module] = new Double_t[nRecPoints];
513                   fRecCylPhi[module] = new Double_t[nRecPoints];
514                   fRecCylZ[module] = new Double_t[nRecPoints];            
515                   Int_t ind;
516                   for(ind=0; ind<nRecPoints; ind++) {     
517                          fRecCylR[module][ind]=obj.fRecCylR[module][ind];
518                          fRecCylPhi[module][ind]=obj.fRecCylPhi[module][ind];
519                          fRecCylZ[module][ind]=obj.fRecCylZ[module][ind];                        
520                   }             
521                 }        
522          
523          
524     return *this;
525 }
526 //______________________________________________________________________
527 void AliITSTrackerV1::DoTracking(Int_t evNumber,Int_t minTr,Int_t maxTr,
528                                  TFile *file, Bool_t realmass) {
529     // Origin   A. Badala' and G.S. Pappalardo:
530     // e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
531     // The method needs the event number, the minimum and maximum order
532     // number of TPC tracks that 
533     // are to be tracked trough the ITS, and the file where the recpoints
534     // are registered.
535     // The method can be called by a macro. It preforms the tracking for
536     // all good TPC tracks
537
538     printf("begin DoTracking - file %p\n",file);
539
540     gAlice->GetEvent(evNumber);  //modificato per gestire hbt
541  
542     AliKalmanTrack *kkprov;
543     kkprov->SetConvConst(100/0.299792458/0.2/fFieldFactor);
544
545     TFile *cf=TFile::Open("AliTPCclusters.root");  
546     AliTPCParam *digp= (AliTPCParam*)cf->Get("75x40_100x60");
547     if (!digp) { cerr<<"TPC parameters have not been found !\n"; getchar();}
548
549     cf->cd();
550     AliTPCtracker *tracker = new AliTPCtracker(digp,evNumber);  
551
552     // Load clusters
553     tracker->LoadInnerSectors();
554     tracker->LoadOuterSectors();
555
556     // Load tracks
557     TFile *tf=TFile::Open("AliTPCtracksSorted.root");  
558     if (!tf->IsOpen()) {
559         cerr<<"Can't open AliTPCtracksSorted.root !\n";
560         return ;
561     } // end if
562     TObjArray tracks(200000);
563     char tname[100];                 
564     sprintf(tname,"TreeT_TPC_%d",evNumber);
565
566     TTree *tracktree=(TTree*)tf->Get(tname);   
567     if (!tracktree) {cerr<<"Can't get a tree with TPC tracks !\n";}   
568     TBranch *tbranch=tracktree->GetBranch("tracks");
569     Int_t nentr=(Int_t)tracktree->GetEntries();
570     Int_t kk;
571
572     AliTPCtrack *ioTrackTPC=0;    
573     for (kk=0; kk<nentr; kk++) {
574         ioTrackTPC=new AliTPCtrack; 
575         tbranch->SetAddress(&ioTrackTPC);
576         tracktree->GetEvent(kk);    
577         tracker->CookLabel(ioTrackTPC,0.1);       
578         tracks.AddLast(ioTrackTPC);         
579     } // end for kk
580     delete tracker;      
581     tf->Close();
582
583     Int_t nt = tracks.GetEntriesFast();
584     cerr<<"Number of found tracks "<<nt<<endl;
585
586     TVector vec(5);
587     TTree *tr=gAlice->TreeR();
588     Int_t nent=(Int_t)tr->GetEntries();  
589     frecPoints = fITS->RecPoints();
590
591     Int_t numbpoints;
592     Int_t totalpoints=0;
593     Int_t *np = new Int_t[nent];
594     fvettid = new Int_t* [nent];
595     Int_t mod;
596
597     for (mod=0; mod<nent; mod++) {
598         fvettid[mod]=0;
599         fITS->ResetRecPoints();  
600         gAlice->TreeR()->GetEvent(mod); 
601         numbpoints = frecPoints->GetEntries();
602         totalpoints+=numbpoints;
603         np[mod] = numbpoints;
604         //cout<<" mod = "<<mod<<"   numbpoints = "<<numbpoints<<"\n";getchar();
605         fvettid[mod] = new Int_t[numbpoints];
606         Int_t ii;
607         for (ii=0;ii<numbpoints; ii++) *(fvettid[mod]+ii)=0;
608     } // end for mod
609
610     AliTPCtrack *track=0;
611
612     if(minTr < 0) {minTr = 0; maxTr = nt-1;}   
613
614     TVector vgeant(3);
615
616     TTree tracktree1("TreeT","Tree with ITS tracks");
617     AliITSIOTrack *ioTrack=0;
618     tracktree1.Branch("ITStracks","AliITSIOTrack",&ioTrack,32000,0);
619   
620    TDatabasePDG * db = new TDatabasePDG;   
621   
622     Int_t j;       
623     for (j=minTr; j<=maxTr; j++) {     
624         track=(AliTPCtrack*)tracks.UncheckedAt(j);
625         if (!track) continue;
626         
627         ///   mass definition ////////////////////////
628     Double_t mass=0.13956995;
629          Int_t pcode=211;  // a pion by default
630          if(realmass) {
631     Int_t TPClabel=TMath::Abs( track->GetLabel() );   
632          TParticle *p = (TParticle*)gAlice->Particle(TPClabel);
633           pcode=p->GetPdgCode();
634          // Int_t mothercode=p->GetFirstMother();
635          //if(mothercode>0 ) numofsecondaries++; else numofprimaries++;
636          }
637          //if(!pcode) pcode=211;         
638          if(TMath::Abs(pcode)<20443) mass=db->GetParticle(pcode)->Mass();       
639         
640         
641         ///////////////////////////////////////////////
642   /*
643         //////   propagation to the end of TPC //////////////
644         Double_t xk=77.415;
645         track->PropagateTo(xk, 28.94, 1.204e-3,mass);    //Ne    
646         xk -=0.01;
647         track->PropagateTo(xk, 44.77, 1.71,mass);        //Tedlar
648         xk -=0.04;
649         track->PropagateTo(xk, 44.86, 1.45,mass);        //kevlar
650         xk -=2.0;
651         track->PropagateTo(xk, 41.28, 0.029,mass);       //Nomex         
652         xk-=16;
653         track->PropagateTo(xk,36.2,1.98e-3,mass); //C02
654         xk -=0.01;
655         track->PropagateTo(xk, 24.01, 2.7,mass);         //Al    
656         xk -=0.01;
657         track->PropagateTo(xk, 44.77, 1.71,mass);        //Tedlar
658         xk -=0.04;
659         track->PropagateTo(xk, 44.86, 1.45,mass);        //kevlar
660         xk -=0.5;
661         track->PropagateTo(xk, 41.28, 0.029,mass);       //Nomex
662     ////////////////////////////////////////////////////////////////////
663    */
664          //   new propagation to the end of TPC
665     Double_t xk=80.;
666    // track->PropagateTo(xk,0.,0.); //Ne if it's still there   //attenzione funziona solo se modifica in TPC
667         // Double_t xk=77.415;   
668          track->PropagateTo(xk, 28.94, 1.204e-3);
669     xk-=0.005;
670     track->PropagateTo(xk, 44.77,1.71); //Tedlar         
671     xk-=0.02;
672     track->PropagateTo(xk, 44.86, 1.45);   //Kevlar
673     xk-=2.0;
674     track->PropagateTo(xk, 41.28, 0.029);//Nomex
675     xk-=0.02;
676     track->PropagateTo(xk, 44.86, 1.45);   //Kevlar
677     xk-=0.005;
678     track->PropagateTo(xk, 44.77, 1.71); //Tedlar
679
680     xk=61.;
681    // track->PropagateTo(xk,0.,0.); //C02
682          track->PropagateTo(xk,36.2,1.98e-3); //C02        //attenzione funziona solo se modifica in TPC
683
684     xk -=0.005;
685     track->PropagateTo(xk, 24.01, 2.7);    //Al    
686     xk -=0.005;
687     track->PropagateTo(xk, 44.77, 1.71);  //Tedlar
688     xk -=0.02;
689     track->PropagateTo(xk, 44.86, 1.45);    //Kevlar
690     xk -=0.5;
691     track->PropagateTo(xk, 41.28, 0.029);  //Nomex    
692     xk -=0.02;
693     track->PropagateTo(xk, 44.86, 1.45);    //Kevlar
694     xk -=0.005;
695     track->PropagateTo(xk, 44.77, 1.71);  //Tedlar
696     xk -=0.005;
697     track->PropagateTo(xk, 24.01, 2.7);    //Al 
698         ////////////////////////////////////////////////////////////////////////////////////////////////////////        
699         AliITSTrackV1 trackITS(*track);     
700         trackITS.PutMass(mass);   //new to add mass to track
701         if(fresult){ delete fresult; fresult=0;}         
702         fresult = new AliITSTrackV1(trackITS);   
703
704         AliITSTrackV1 primaryTrack(trackITS);
705         vgeant=(*fresult).GetVertex();
706
707         // Definition of dv and zv for vertex constraint        
708         Double_t sigmaDv=0.0050;  Double_t sigmaZv=0.010;       
709         //Double_t sigmaDv=0.0015;  Double_t sigmaZv=0.0015;
710         Double_t uniform= gRandom->Uniform();
711         Double_t signdv;
712         if(uniform<=0.5) signdv=-1.;
713         else
714             signdv=1.;
715
716         Double_t vr=TMath::Sqrt(vgeant(0)*vgeant(0)+ vgeant(1)*vgeant(1));
717         Double_t dv=gRandom->Gaus(signdv*vr,(Float_t)sigmaDv); 
718         Double_t zv=gRandom->Gaus(vgeant(2),(Float_t)sigmaZv);          
719         //cout<<" Dv e Zv = "<<dv<<" "<<zv<<"\n";
720         trackITS.SetDv(dv);
721         trackITS.SetZv(zv);
722         trackITS.SetsigmaDv(sigmaDv);
723         trackITS.SetsigmaZv(sigmaZv); 
724         (*fresult).SetDv(dv);
725         (*fresult).SetZv(zv);
726         (*fresult).SetsigmaDv(sigmaDv);
727         (*fresult).SetsigmaZv(sigmaZv);
728         primaryTrack.SetDv(dv);
729         primaryTrack.SetZv(zv);
730         primaryTrack.SetsigmaDv(sigmaDv);
731         primaryTrack.SetsigmaZv(sigmaZv);
732         primaryTrack.PrimaryTrack(frl);
733         TVector  d2=primaryTrack.Getd2();
734         TVector  tgl2=primaryTrack.Gettgl2();
735         TVector  dtgl=primaryTrack.Getdtgl();
736         trackITS.Setd2(d2); trackITS.Settgl2(tgl2);
737         trackITS.Setdtgl(dtgl); 
738         (*fresult).Setd2(d2); (*fresult).Settgl2(tgl2);
739         (*fresult).Setdtgl(dtgl);
740         /*
741           trackITS.SetVertex(vertex); trackITS.SetErrorVertex(ervertex);
742           (*result).SetVertex(vertex);   (*result).SetErrorVertex(ervertex);   
743         */
744         TList *list= new TList();
745
746         list->AddLast(&trackITS);
747   
748         fPtref=TMath::Abs( (trackITS).GetPt() );
749         if(fPtref>1.0) fChi2max=40.;         
750         if(fPtref<=1.0) fChi2max=20.;
751         if(fPtref<0.4 ) fChi2max=100.;
752         if(fPtref<0.2 ) fChi2max=40.;             
753         // if(fPtref<0.4 ) fChi2max=30.;                                 
754         // if(fPtref<0.2 ) fChi2max=20.;
755         //if(fPtref<0.2 ) fChi2max=10.;
756         //if(fPtref<0.1 ) fChi2max=5.;
757         //cout << "\n Pt = " << fPtref <<"\n";  //stampa
758         RecursiveTracking(list);   
759         list->Delete();
760         delete list;
761
762         Int_t itot=-1;
763         TVector vecTotLabRef(18);
764         Int_t lay, k;
765         for(lay=5; lay>=0; lay--) {
766             TVector vecLabRef(3); 
767             vecLabRef=(*fresult).GetLabTrack(lay);
768             Float_t clustZ=(*fresult).GetZclusterTrack( lay);   
769             for(k=0; k<3; k++){  
770                 Int_t lpp=(Int_t)vecLabRef(k);
771                 if(lpp>=0) {
772                     TParticle *p=(TParticle*) gAlice->Particle(lpp);
773                     Int_t pcode=p->GetPdgCode();
774                     if(pcode==11) vecLabRef(k)=p->GetFirstMother();
775                 } // end if
776                 itot++; vecTotLabRef(itot)=vecLabRef(k);
777                 if(vecLabRef(k)==0. && clustZ == -1.) vecTotLabRef(itot) =-3.;
778             } // end for k
779         } // end for lay
780         Long_t labref;
781         Int_t freq;  
782         (*fresult).Search(vecTotLabRef, labref, freq);
783
784         //if(freq < 6) labref=-labref;        // cinque - sei
785         if(freq < 5) labref=-labref;        // cinque - sei     
786         (*fresult).SetLabel(labref);
787
788         // cout<<" progressive track number = "<<j<<"\r";
789         // cout<<j<<"\r";
790         Int_t numOfCluster=(*fresult).GetNumClust();  
791         //cout<<" progressive track number = "<<j<<"\n";    // stampa
792         Long_t labITS=(*fresult).GetLabel();
793         //cout << " ITS track label = " << labITS << "\n";      // stampa           
794         Int_t lab=track->GetLabel();                
795         //cout << " TPC track label = " << lab <<"\n";      // stampa
796         //propagation to vertex
797
798         Double_t rbeam=3.;
799     if((*fresult).DoNotCross(rbeam)) continue;  //no intersection with beampipe 
800         (*fresult).Propagation(rbeam);
801         Double_t c00,c10,c11,c20,c21,c22,c30,c31,c32,c33,c40,c41,c42,c43,c44;
802         (*fresult).GetCElements(c00,
803                                 c10,c11,
804                                 c20,c21,c22,
805                                 c30,c31,c32,c33,
806                                 c40,c41,c42,c43,c44);
807                  
808         Double_t pt=TMath::Abs((*fresult).GetPt());
809         Double_t dr=(*fresult).GetD();
810         Double_t z=(*fresult).GetZ();
811         Double_t tgl=(*fresult).GetTgl();
812         Double_t c=(*fresult).GetC();
813         Double_t cy=c/2.;
814         Double_t dz=z-(tgl/cy)*TMath::ASin((*fresult).Arga(rbeam));
815         dz-=vgeant(2);
816         // cout<<" dr e dz alla fine = "<<dr<<" "<<dz<<"\n"; getchar();
817         Double_t phi=(*fresult).Getphi();
818         Double_t phivertex = phi - TMath::ASin((*fresult).ArgA(rbeam));
819         Double_t duepi=2.*TMath::Pi();   
820         if(phivertex>duepi) phivertex-=duepi;
821         if(phivertex<0.) phivertex+=duepi;
822         /////////////////////////////////////////////////////////////
823         Int_t idmodule,idpoint;
824         if(numOfCluster >=5)  {            // cinque - sei
825             //if(numOfCluster ==6)  {            // cinque - sei
826             AliITSIOTrack outTrack;
827             ioTrack=&outTrack;
828             ioTrack->SetStatePhi(phi);
829             ioTrack->SetStateZ(z);
830             ioTrack->SetStateD(dr);
831             ioTrack->SetStateTgl(tgl);
832             ioTrack->SetStateC(c);
833             Double_t radius=(*fresult).Getrtrack();
834             ioTrack->SetRadius(radius);
835             Int_t charge;
836             if(c>0.) charge=-1;  else charge=1;
837             ioTrack->SetCharge(charge);
838             ioTrack->SetCovMatrix(c00,
839                                   c10,c11,
840                                   c20,c21,c22,
841                                   c30,c31,c32,c33,
842                                   c40,c41,c42,c43,c44);
843             Double_t px=pt*TMath::Cos(phivertex);
844             Double_t py=pt*TMath::Sin(phivertex);
845             Double_t pz=pt*tgl;
846             Double_t xtrack=dr*TMath::Sin(phivertex);
847             Double_t ytrack=dr*TMath::Cos(phivertex);
848             Double_t ztrack=dz+vgeant(2);
849             ioTrack->SetPx(px);
850             ioTrack->SetPy(py);
851             ioTrack->SetPz(pz);
852             ioTrack->SetX(xtrack);
853             ioTrack->SetY(ytrack);
854             ioTrack->SetZ(ztrack);
855             ioTrack->SetLabel(labITS);
856             ioTrack->SetTPCLabel(lab);
857                  ioTrack->SetDz(dz);
858             Int_t il;           
859             for(il=0;il<6; il++){
860                 ioTrack->SetIdPoint(il,(*fresult).GetIdPoint(il));
861                 ioTrack->SetIdModule(il,(*fresult).GetIdModule(il));
862             } // end for il
863             tracktree1.Fill();
864             for (il=0;il<6;il++) {
865                 idpoint=(*fresult).GetIdPoint(il);
866                 idmodule=(*fresult).GetIdModule(il);
867                 if(idmodule>0.) *(fvettid[idmodule]+idpoint)=1;
868                                                                
869                 ioTrack->SetIdPoint(il,idpoint);
870                 ioTrack->SetIdModule(il,idmodule);
871             } // end for il         
872         } // end if on numOfCluster
873         //gObjectTable->Print();    // stampa memoria     
874     }  //  end for (int j=minTr; j<=maxTr; j++)
875     delete db;           
876     static Bool_t first=kTRUE;
877     static TFile *tfile;
878     if(first) {
879         tfile=new TFile("itstracks.root","RECREATE");
880         //cout<<"I have opened itstracks.root file "<<endl;
881     } // end if     
882     first=kFALSE;
883     tfile->cd();
884     tfile->ls();
885     char hname[30];
886     sprintf(hname,"TreeT%d",evNumber);
887     tracktree1.Write(hname);
888   
889     TTree *fAli=gAlice->TreeK();
890     TFile *fileAli=0;
891     if (fAli) fileAli =fAli->GetCurrentFile();
892     fileAli->cd();
893     ////////////////////////////////////////////////////////////////////
894
895     printf("delete vectors\n");
896     if(np) delete [] np;
897     if(fvettid) delete [] fvettid;
898     if(fresult) {delete fresult; fresult=0;}
899 }
900 //______________________________________________________________________
901 void AliITSTrackerV1::RecursiveTracking(TList *trackITSlist) {
902     //   This function perform the recursive tracking in ITS detectors
903     // reference is a pointer to the final best track
904     // Origin  A. Badala' and G.S. Pappalardo:
905     // e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
906     // The authors thank Mariana Bondila to have help them to resolve some
907     // problems.  July-2000
908
909     //Rlayer[0]=4.; Rlayer[1]=7.;  Rlayer[2]=14.9;
910     // Rlayer[3]=23.8;  Rlayer[4]=39.1;  Rlayer[5]=43.6; //vecchio
911
912     ////////////////////// 
913     Float_t sigmaphil[6], sigmazl[6];
914     sigmaphil[0]=1.44e-6/(fAvrad[0]*fAvrad[0]);
915     sigmaphil[1]=1.44e-6/(fAvrad[1]*fAvrad[1]);
916     sigmaphil[2]=1.444e-5/(fAvrad[2]*fAvrad[2]);
917     sigmaphil[3]=1.444e-5/(fAvrad[3]*fAvrad[3]);
918     sigmaphil[4]=4e-6/(fAvrad[4]*fAvrad[4]);
919     sigmaphil[5]=4e-6/(fAvrad[5]*fAvrad[5]);
920     sigmazl[0]=1e-2;
921     sigmazl[1]=1e-2;
922     sigmazl[2]=7.84e-4;
923     sigmazl[3]=7.84e-4;
924     sigmazl[4]=0.6889;
925     sigmazl[5]=0.6889;  
926     ///////////////////////////////////////////////////////////
927     Int_t index; 
928     AliITSgeom *g1 = fITS->GetITSgeom();
929     AliITSRecPoint *recp;        
930     for(index =0; index<trackITSlist->GetSize(); index++) {
931         AliITSTrackV1 *trackITS = (AliITSTrackV1 *) trackITSlist->At(index);
932         if((*trackITS).GetLayer()==7) fresult->SetChi2(10.223e140);
933         // cout <<" Layer inizio = "<<(*trackITS).GetLayer()<<"\n";
934         //  cout<<"fvtrack =" <<"\n";
935         //  cout << (*trackITS)(0) << " "<<(*trackITS)(1)<<" "
936         //       <<(*trackITS)(2)<<" "<<(*trackITS)(3)<<" "
937         //       <<(*trackITS)(4)<<"\n";
938         //  cout<< " rtrack = "<<(*trackITS).Getrtrack()<<"\n";
939         //  cout<< " Pt = "<<(*trackITS).GetPt()<<"\n";
940         //  getchar();    
941         Double_t chi2Now, chi2Ref;
942         Float_t numClustRef = fresult->GetNumClust();            
943         if((*trackITS).GetLayer()==1 ) {
944             chi2Now = trackITS->GetChi2();
945             Float_t numClustNow = trackITS->GetNumClust();
946             if(trackITS->GetNumClust()) 
947                 chi2Now /= (Double_t)trackITS->GetNumClust();
948             chi2Ref = fresult->GetChi2();
949             if(fresult->GetNumClust()) 
950                 chi2Ref /= (Double_t)fresult->GetNumClust();
951             //cout<<" chi2Now and chi2Ref = "<<chi2Now<<" "<<chi2Ref<<"\n";
952             if( numClustNow > numClustRef ) {*fresult = *trackITS;} 
953             if((numClustNow == numClustRef )&& 
954                (chi2Now < chi2Ref))  {
955                 *fresult = *trackITS;
956             } // end if
957             continue;   
958         } // end if
959
960         if(trackITS->Getfnoclust()>=2)  continue;      
961         Float_t numClustNow = trackITS->GetNumClust();
962         if(numClustNow) { 
963             chi2Now = trackITS->GetChi2();
964
965             if(numClustNow<numClustRef && chi2Now>fresult->GetChi2()) continue;
966             //cout<<" chi2Now =  "<<chi2Now<<"\n";   
967               
968             chi2Now/=numClustNow;
969             if(fPtref > 1.0 && chi2Now > 30.) continue; 
970             if((fPtref >= 0.6 && fPtref<=1.0) && chi2Now > 40.) continue;
971             // if((fPtref <= 0.6 && fPtref>0.2)&& chi2Now > 40.) continue;
972             // if(fPtref <= 0.2 && chi2Now > 8.) continue;
973             if((fPtref <= 0.6 && fPtref>0.2)&& chi2Now > 30.) continue;
974             if(fPtref <= 0.2 && chi2Now > 7.) continue;     
975             /////////////////////////////
976         } // end if
977
978         Int_t layerInit = (*trackITS).GetLayer();
979         Int_t layernew = layerInit - 2;// -1 for new layer, -1 for matrix index
980         TList listoftrack;
981         Int_t ladp, ladm, detp,detm,ladinters,detinters;        
982         Int_t layerfin=layerInit-1;
983         // cout<<"Prima di intersection \n";
984         Int_t  outinters=Intersection(*trackITS,layerfin,ladinters,detinters);
985         // cout<<" outinters = "<<outinters<<"\n";
986         //  cout<<" Layer ladder detector intersection ="
987         //      <<layerfin<<" "<<ladinters<<" "<<detinters<<"\n";
988         //  cout << " phiinters zinters = "<<(*trackITS)(0) 
989         //       << " "<<(*trackITS)(1)<<"\n"; getchar();
990         if(outinters==-1) continue;
991         Int_t flaghit=0;
992         if(outinters==0){
993             TVector toucLad(9), toucDet(9);      
994             Int_t lycur=layerfin;
995             ladp=ladinters+1;
996             ladm=ladinters-1;
997             if(ladm <= 0) ladm=fNlad[layerfin-1];    
998             if(ladp > fNlad[layerfin-1]) ladp=1;  
999             detp=detinters+1;
1000             detm=detinters-1;
1001             Int_t idetot=1;
1002             /*
1003               toucLad(0)=ladinters; toucLad(1)=ladm; toucLad(2)=ladp;
1004               toucLad(3)=ladinters; toucLad(4)=ladm; toucLad(5)=ladp;
1005               toucLad(6)=ladinters; toucLad(7)=ladm; toucLad(8)=ladp;
1006               toucDet(0)=detinters; toucDet(1)=detinters; toucDet(2)=detinters;
1007               if(detm > 0 && detp <= fNdet[layerfin-1]) {     
1008                    idetot=9;
1009                    toucDet(3)=detm; toucDet(4)=detm; toucDet(5)=detm;      
1010                    toucDet(6)=detp; toucDet(7)=detp; toucDet(8)=detp;
1011               } // end if
1012               if(detm > 0 && detp > fNdet[layerfin-1]) {   
1013                    idetot=6;
1014                    toucDet(3)=detm; toucDet(4)=detm; toucDet(5)=detm;
1015              } // end if
1016              if(detm <= 0 && detp <= fNdet[layerfin-1]) {   
1017                   idetot=6;
1018                   toucDet(3)=detp; toucDet(4)=detp; toucDet(5)=detp;
1019              } // end if
1020             */
1021             Float_t epsphi=5.0, epsz=5.0;                  
1022             if(fPtref<0.2) {epsphi=3.; epsz=3.;}     
1023             // new definition of idetot e toucLad e toucDet to be
1024             // transformed in a method
1025             // these values could be modified
1026             Float_t pigre=TMath::Pi();
1027             Float_t rangephi=5., rangez=5.;
1028             if(layerfin==1 || layerfin ==2){
1029                 rangephi=40.*epsphi*TMath::Sqrt(sigmaphil[layerfin-1]+
1030                                                 (*trackITS).GetSigmaphi());
1031                 rangez = 40.*epsz*TMath::Sqrt(sigmazl[layerfin-1]+
1032                                               (*trackITS).GetSigmaZ());
1033             } // end if
1034             if(layerfin==3 || layerfin ==4){
1035                 //rangephi=30.*fepsphi*TMath::Sqrt(sigmaphil[layerfin-1]+
1036                 //                                 (*trackITS).GetSigmaphi());
1037                 //rangez = 40.*fepsz*TMath::Sqrt(sigmazl[layerfin-1]+
1038                 //                               (*trackITS).GetSigmaZ());
1039                 rangephi=40.*epsphi*TMath::Sqrt(sigmaphil[layerfin-1]+
1040                                                 (*trackITS).GetSigmaphi());
1041                 rangez = 50.*epsz*TMath::Sqrt(sigmazl[layerfin-1]+
1042                                               (*trackITS).GetSigmaZ());
1043             } // end if
1044             if(layerfin==5 || layerfin ==6){
1045                 rangephi=20.*epsphi*TMath::Sqrt(sigmaphil[layerfin-1]+
1046                                                 (*trackITS).GetSigmaphi());
1047                 rangez =5.*epsz*TMath::Sqrt(sigmazl[layerfin-1]+
1048                                             (*trackITS).GetSigmaZ());
1049             } // end if
1050             Float_t phinters, zinters;
1051             phinters=(*trackITS).Getphi();
1052             zinters=(*trackITS).GetZ();
1053             Float_t distz = 0.0;
1054             Float_t phicm, phicp, distphim, distphip;
1055             phicm=phinters;
1056                  if(phinters>fphimax[layerfin-1][ladm-1]) phicm=phinters-2*pigre;  //corretto il 20-11-2001
1057                  distphim=TMath::Abs(phicm-fphimax[layerfin-1][ladm-1]);  //corretto il 20-11-2001
1058             phicp=phinters;
1059                  //cout<<" fNlad[layerfin-1] e ladp = "<<fNlad[layerfin-1]<<" "<<ladp<<endl;
1060                  if(phinters>fphimin[layerfin-1][ladp-1]) phicp=phinters-2.*pigre;   //corretto il 20-11-2001
1061                  distphip=TMath::Abs(phicp-fphimin[layerfin-1][ladp-1]);      //corretto il 20-11-2001
1062             Int_t flagzmin=0;
1063             Int_t flagzmax=0;
1064             idetot=1;
1065             toucLad(0)=ladinters; toucDet(0)=detinters;
1066             if(detm>0) distz=TMath::Abs(zinters-fzmax[layerfin-1][detm-1]);
1067             if(detm>0 && rangez>=distz){
1068                 flagzmin=1; 
1069                 idetot++; toucLad(idetot-1)=ladinters; toucDet(idetot-1)=detm;
1070                 if(rangephi>=distphim){
1071                     idetot++; 
1072                     toucLad(idetot-1)=ladm;
1073                     toucDet(idetot-1)=detinters;
1074                     idetot++;
1075                     toucLad(idetot-1)=ladm;
1076                     toucDet(idetot-1)=detm;
1077                 } // end if
1078                 if(rangephi>=distphip){
1079                     idetot++;
1080                     toucLad(idetot-1)=ladp;
1081                     toucDet(idetot-1)=detinters;
1082                     idetot++;
1083                     toucLad(idetot-1)=ladp;
1084                     toucDet(idetot-1)=detm;
1085                 } // end if
1086             }  //end detm>0....          
1087             if(detp<=fNdet[layerfin-1]) 
1088                 distz=TMath::Abs(zinters-fzmin[layerfin-1][detp-1]);
1089             if(detp<=fNdet[layerfin-1] && rangez>=distz){
1090                 flagzmax=1;
1091                 idetot++; toucLad(idetot-1)=ladinters; toucDet(idetot-1)=detp;
1092                 if(rangephi>=distphim){
1093                     idetot++; toucLad(idetot-1)=ladm; toucDet(idetot-1)=detp;
1094                     if(flagzmin == 0) {
1095                         idetot++;
1096                         toucLad(idetot-1)=ladm;
1097                         toucDet(idetot-1)=detinters;
1098                     } // end if
1099                 } // end if
1100                 if(rangephi>=distphip){
1101                     idetot++;
1102                     toucLad(idetot-1)=ladp;
1103                     toucDet(idetot-1)=detp;
1104                     if(flagzmin == 0) {
1105                         idetot++;
1106                         toucLad(idetot-1)=ladp; 
1107                         toucDet(idetot-1)=detinters;
1108                     } // end if
1109                 } // end if
1110             }  //end detm<fNdet[.......
1111
1112             if(flagzmin == 0 && flagzmax==0){
1113                 if(rangephi>=distphim){
1114                     idetot++; 
1115                     toucLad(idetot-1)=ladm;
1116                     toucDet(idetot-1)=detinters;
1117                 } // end if     
1118                 if(rangephi>=distphip){
1119                     idetot++; 
1120                     toucLad(idetot-1)=ladp;
1121                     toucDet(idetot-1)=detinters;
1122                 } // end if       
1123             } // end if
1124             ////////////////////////////////////////////////////////////
1125             Int_t iriv;
1126             for (iriv=0; iriv<idetot; iriv++) {  //for on detectors
1127                 ///////////////////////////////////////////////////////
1128                 /*** Rec points sorted by module *****/
1129                 /**************************************/
1130                 Int_t indexmod;       
1131                 indexmod = g1->GetModuleIndex(lycur,(Int_t)toucLad(iriv),
1132                                               (Int_t)toucDet(iriv)); 
1133                 fITS->ResetRecPoints();   
1134                 gAlice->TreeR()->GetEvent(indexmod); 
1135                 Int_t npoints=frecPoints->GetEntries();
1136        
1137                 Int_t indnew;
1138                 for(indnew=0; indnew<npoints; indnew++){
1139                     if (*(fvettid[indexmod]+indnew)==0)
1140                         recp =(AliITSRecPoint*)frecPoints->UncheckedAt(indnew);
1141                     else
1142                         continue;
1143                     TVector cluster(3),vecclust(9);
1144                     //vecclust(6)=vecclust(7)=vecclust(8)=-1.;
1145                     Double_t sigma[2];
1146   // now vecclust is with cylindrical cohordinates
1147                vecclust(0)=(Float_t)fRecCylR[indexmod][indnew];     
1148                vecclust(1)=(Float_t)fRecCylPhi[indexmod][indnew];
1149                vecclust(2)=(Float_t)fRecCylZ[indexmod][indnew];                          
1150                     vecclust(3) = (Float_t)recp->fTracks[0]; 
1151                     vecclust(4) = (Float_t)indnew;                       
1152                     vecclust(5) = (Float_t)indexmod;    
1153                     vecclust(6) = (Float_t)recp->fTracks[0];
1154                     vecclust(7) = (Float_t)recp->fTracks[1];
1155                     vecclust(8) = (Float_t)recp->fTracks[2];
1156                     sigma[0] = (Double_t)  recp->GetSigmaX2();     
1157                     sigma[1] = (Double_t) recp->GetSigmaZ2();
1158                          
1159                          cluster(0)=fRecCylR[indexmod][indnew];
1160           cluster(1)=fRecCylPhi[indexmod][indnew];
1161                          cluster(2)=fRecCylZ[indexmod][indnew];
1162                          
1163                     // cout<<" layer = "<<play<<"\n";
1164                     // cout<<" cluster prima = "<<vecclust(0)<<" "
1165                     //     <<vecclust(1)<<" "
1166                     //     <<vecclust(2)<<"\n"; getchar();    
1167
1168                     Float_t sigmatotphi, sigmatotz;  
1169                     // Float_t epsphi=5.0, epsz=5.0;                 
1170                     //if(fPtref<0.2) {epsphi=3.; epsz=3.;}
1171                     Double_t rTrack=(*trackITS).Getrtrack();
1172                     Double_t sigmaphi=sigma[0]/(rTrack*rTrack);
1173                     sigmatotphi=epsphi*TMath::Sqrt(sigmaphi + 
1174                                                    (*trackITS).GetSigmaphi());
1175                     sigmatotz=epsz*TMath::Sqrt(sigma[1] + 
1176                                                (*trackITS).GetSigmaZ());
1177                     //cout<<"cluster e sigmatotphi e track = "<<cluster(0)
1178                     //    <<" "<<cluster(1)<<" "<<sigmatotphi<<" "
1179                     //    <<vecclust(3)<<"\n";
1180                     //if(vecclust(3)==481) getchar();
1181                     if(cluster(1)<6. && (*trackITS).Getphi()>6.) 
1182                         cluster(1)=cluster(1)+(2.*TMath::Pi());
1183                     if(cluster(1)>6. && (*trackITS).Getphi()<6.) 
1184                         cluster(1)=cluster(1)-(2.*TMath::Pi());
1185                     if(TMath::Abs(cluster(1)-(*trackITS).Getphi())>sigmatotphi)
1186                         continue;
1187                     // cout<<" supero sigmaphi \n";      
1188                     AliITSTrackV1 *newTrack = new AliITSTrackV1((*trackITS));
1189                     (*newTrack).SetLayer((*trackITS).GetLayer()-1);
1190                     if (TMath::Abs(rTrack-cluster(0))/rTrack>1e-6) 
1191                         (*newTrack).Correct(Double_t(cluster(0)));      
1192                     //cout<<" cluster(2) e(*newTrack).GetZ()="<<cluster(2)<<" "
1193                     //    << (*newTrack).GetZ()<<"\n";
1194                     if(TMath::Abs(cluster(2)-(*newTrack).GetZ()) > sigmatotz){ 
1195                         delete newTrack;
1196                         continue;
1197                     } // end if
1198                     Double_t sigmanew[2];
1199                     sigmanew[0]= sigmaphi;
1200                     sigmanew[1]=sigma[1];
1201                     Double_t m[2];
1202                     m[0]=cluster(1);
1203                     m[1]=cluster(2);
1204                     //  Double_t chi2pred=newTrack->GetPredChi2(m,sigmanew);   
1205                     // cout<<" chi2pred = "<<chi2pred<<"\n";
1206                     // if(chi2pred>fChi2max) continue; //aggiunto il 30-7-2001
1207                     if(iriv == 0) flaghit=1;
1208                     (*newTrack).AddMS(frl);  // add the multiple scattering 
1209                                              //matrix to the covariance matrix 
1210                     (*newTrack).AddEL(frl,1.,0);
1211
1212                     if(fflagvert){
1213                         KalmanFilterVert(newTrack,cluster,sigmanew);
1214                         //KalmanFilterVert(newTrack,cluster,sigmanew,chi2pred);
1215                     }else{
1216                         KalmanFilter(newTrack,cluster,sigmanew);
1217                     } // end if
1218                     (*newTrack).PutCluster(layernew, vecclust);
1219                     newTrack->AddClustInTrack();
1220                     listoftrack.AddLast(newTrack);
1221                 }   // end for indnew
1222             }  // end of for on detectors (iriv)
1223         }//end if(outinters==0)
1224
1225         if(flaghit==0 || outinters==-2) {
1226             AliITSTrackV1 *newTrack = new AliITSTrackV1(*trackITS);
1227             (*newTrack).Setfnoclust();           
1228             (*newTrack).SetLayer((*trackITS).GetLayer()-1); 
1229             (*newTrack).AddMS(frl);  // add the multiple scattering matrix
1230                                      // to the covariance matrix  
1231             (*newTrack).AddEL(frl,1.,0);
1232             listoftrack.AddLast(newTrack);
1233         } // end if
1234
1235         //gObjectTable->Print();   // stampa memoria
1236          
1237         RecursiveTracking(&listoftrack);          
1238         listoftrack.Delete();
1239     } // end of for on tracks (index)
1240
1241     //gObjectTable->Print();   // stampa memoria
1242 }
1243 //______________________________________________________________________
1244 Int_t AliITSTrackerV1::Intersection(AliITSTrackV1 &track,Int_t layer,
1245                                     Int_t &ladder,Int_t &detector) { 
1246     // Origin  A. Badala' and G.S. Pappalardo
1247     // e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
1248     // Found the intersection and the detector 
1249
1250     Double_t rk=fAvrad[layer-1];
1251     if(track.DoNotCross(rk)){ /*cout<< " Do not cross \n";*/ return -1;} 
1252     track.Propagation(rk);
1253     Double_t zinters=track.GetZ();
1254     Double_t phinters=track.Getphi();
1255     //cout<<"zinters = "<<zinters<<"  phinters = "<<phinters<<"\n";
1256
1257     TVector det(9);
1258     TVector listDet(2);
1259     TVector distZCenter(2);
1260
1261     Int_t iz=0; 
1262     Int_t iD;
1263     for(iD = 1; iD<= fNdet[layer-1]; iD++) {
1264         if(zinters > fzmin[layer-1][iD-1] && zinters <= fzmax[layer-1][iD-1]) {
1265             if(iz>1) {
1266                 cout<< " Errore su iz in Intersection \n";
1267                 getchar();
1268             }else {
1269                 listDet(iz)= iD; distZCenter(iz)=TMath::Abs(zinters-det(2));
1270                 iz++;
1271             } // end if
1272         } // end if
1273     } // end for iD
1274
1275     if(iz==0) {/* cout<< " No detector along Z \n";*/ return -2;}
1276     detector=Int_t (listDet(0));
1277     if(iz>1 && (distZCenter(0)>distZCenter(1)))   detector=Int_t (listDet(1));
1278
1279     TVector listLad(2);
1280     TVector distPhiCenter(2);
1281     Int_t ip=0;
1282     Double_t pigre=TMath::Pi();
1283     Int_t iLd;   
1284     for(iLd = 1; iLd<= fNlad[layer-1]; iLd++) {
1285         Double_t phimin=fphimin[layer-1][iLd-1];
1286         Double_t phimax=fphimax[layer-1][iLd-1];
1287         Double_t phidet=fphidet[layer-1][iLd-1];
1288         Double_t phiconfr=phinters;
1289         if(phimin>phimax) {  
1290             //if(phimin <5.5) {cout<<" Error in Intersection for phi \n";
1291             // getchar();}
1292             phimin-=(2.*pigre);
1293             if(phinters>(1.5*pigre)) phiconfr=phinters-(2.*pigre); 
1294             if(phidet>(1.5*pigre)) phidet-=(2.*pigre);
1295         } // end if
1296         if(phiconfr>phimin && phiconfr<= phimax) {
1297             if(ip>1) {
1298                 cout<< " Errore su ip in Intersection \n"; getchar();
1299             }else  {
1300                 listLad(ip)= iLd;
1301                 distPhiCenter(ip)=TMath::Abs(phiconfr-phidet); ip++;
1302             } // end if
1303         } // end if
1304     } // end for iLd
1305     if(ip==0) { cout<< " No detector along phi \n"; getchar();}
1306     ladder=Int_t (listLad(0));
1307     if(ip>1 && (distPhiCenter(0)>distPhiCenter(1)))  ladder=Int_t (listLad(1));
1308     return 0;
1309 }
1310 //______________________________________________________________________
1311 void AliITSTrackerV1::KalmanFilter(AliITSTrackV1 *newTrack,TVector &cluster,
1312                                    Double_t sigma[2]){ 
1313     //Origin  A. Badala' and G.S. Pappalardo:
1314     // e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it
1315     // Kalman filter without vertex constraint
1316     ////// Evaluation of the measurement vector ////////////////////////
1317     Double_t m[2];
1318     Double_t rk,phik,zk;
1319     rk=cluster(0);   phik=cluster(1);  zk=cluster(2);
1320     m[0]=phik;    m[1]=zk;
1321     //////////////////////// Evaluation of the error matrix V  /////////
1322     Double_t v00=sigma[0];
1323     Double_t v11=sigma[1];
1324     ////////////////////////////////////////////////////////////////////  
1325     Double_t cin00,cin10,cin20,cin30,cin40,cin11,cin21,cin31,cin41,cin22,
1326              cin32,cin42,cin33,cin43,cin44;
1327
1328     newTrack->GetCElements(cin00,
1329                            cin10,cin11,
1330                            cin20,cin21,cin22,
1331                            cin30,cin31,cin32,cin33,
1332                            cin40,cin41,cin42,cin43,cin44); //get C matrix
1333     Double_t rold00=cin00+v00;
1334     Double_t rold10=cin10;
1335     Double_t rold11=cin11+v11;
1336     ////////////////////// R matrix inversion  /////////////////////////
1337     Double_t det=rold00*rold11-rold10*rold10;
1338     Double_t r00=rold11/det;
1339     Double_t r10=-rold10/det;
1340     Double_t r11=rold00/det;
1341     ////////////////////////////////////////////////////////////////////
1342     Double_t k00=cin00*r00+cin10*r10;
1343     Double_t k01=cin00*r10+cin10*r11;
1344     Double_t k10=cin10*r00+cin11*r10;  
1345     Double_t k11=cin10*r10+cin11*r11;
1346     Double_t k20=cin20*r00+cin21*r10;  
1347     Double_t k21=cin20*r10+cin21*r11;  
1348     Double_t k30=cin30*r00+cin31*r10;  
1349     Double_t k31=cin30*r10+cin31*r11;  
1350     Double_t k40=cin40*r00+cin41*r10;
1351     Double_t k41=cin40*r10+cin41*r11;
1352     Double_t x0,x1,x2,x3,x4;
1353     newTrack->GetXElements(x0,x1,x2,x3,x4);     // get the state vector
1354     Double_t savex0=x0, savex1=x1;
1355     x0+=k00*(m[0]-savex0)+k01*(m[1]-savex1);
1356     x1+=k10*(m[0]-savex0)+k11*(m[1]-savex1);
1357     x2+=k20*(m[0]-savex0)+k21*(m[1]-savex1);
1358     x3+=k30*(m[0]-savex0)+k31*(m[1]-savex1);
1359     x4+=k40*(m[0]-savex0)+k41*(m[1]-savex1);
1360     Double_t c00,c10,c20,c30,c40,c11,c21,c31,c41,c22,c32,c42,c33,c43,c44;
1361     c00=cin00-k00*cin00-k01*cin10;
1362     c10=cin10-k00*cin10-k01*cin11;
1363     c20=cin20-k00*cin20-k01*cin21;
1364     c30=cin30-k00*cin30-k01*cin31;
1365     c40=cin40-k00*cin40-k01*cin41;
1366     c11=cin11-k10*cin10-k11*cin11;
1367     c21=cin21-k10*cin20-k11*cin21;
1368     c31=cin31-k10*cin30-k11*cin31;
1369     c41=cin41-k10*cin40-k11*cin41;
1370     c22=cin22-k20*cin20-k21*cin21;
1371     c32=cin32-k20*cin30-k21*cin31;
1372     c42=cin42-k20*cin40-k21*cin41;
1373     c33=cin33-k30*cin30-k31*cin31;
1374     c43=cin43-k30*cin40-k31*cin41;
1375     c44=cin44-k40*cin40-k41*cin41;
1376     newTrack->PutXElements(x0,x1,x2,x3,x4);  // put the new state vector
1377     newTrack->PutCElements(c00,
1378                            c10,c11,
1379                            c20,c21,c22,
1380                            c30,c31,c32,c33,
1381                            c40,c41,c42,c43,c44); // put in track the
1382                                                  // new cov matrix 
1383     Double_t vmcold00=v00-c00;
1384     Double_t vmcold10=-c10;
1385     Double_t vmcold11=v11-c11;
1386     ////////////////////// Matrix vmc inversion  ///////////////////////
1387     det=vmcold00*vmcold11-vmcold10*vmcold10;
1388     Double_t vmc00=vmcold11/det;
1389     Double_t vmc10=-vmcold10/det;
1390     Double_t vmc11=vmcold00/det;
1391     ////////////////////////////////////////////////////////////////////
1392   Double_t chi2=(m[0]-x0)*( vmc00*(m[0]-x0) + 2.*vmc10*(m[1]-x1) ) +
1393                 (m[1]-x1)*vmc11*(m[1]-x1);
1394   newTrack->SetChi2(newTrack->GetChi2()+chi2);
1395 }
1396 //----------------------------------------------------------------------
1397 //void AliITSTrackerV1::KalmanFilterVert(AliITSTrackV1 *newTrack,
1398 //                                       TVector &cluster,Double_t sigma[2]){
1399 void AliITSTrackerV1::KalmanFilterVert(AliITSTrackV1 *newTrack,
1400                                        TVector &cluster,Double_t sigma[2]
1401                                        /*, Double_t chi2pred*/){
1402     //Origin  A. Badala' and G.S. Pappalardo:
1403     // e-mail Angela.Badala@ct.infn.it, Giuseppe.S.Pappalardo@ct.infn.it 
1404     // Kalman filter with vertex constraint
1405     ///////////////////// Evaluation of the measurement vector m ////////
1406     Double_t m[4];
1407     Double_t rk,phik,zk;
1408     rk=cluster(0);   phik=cluster(1);  zk=cluster(2);
1409     m[0]=phik;    m[1]=zk;
1410     Double_t cc=(*newTrack).GetC();
1411     Double_t zv=(*newTrack).GetZv(); 
1412     Double_t dv=(*newTrack).GetDv();
1413     Double_t cy=cc/2.;
1414     Double_t tgl= (zk-zv)*cy/TMath::ASin(cy*rk);
1415     m[2]=dv;    m[3]=tgl;
1416     /////////////////////// Evaluation of the error matrix V  //////////
1417     Int_t layer=newTrack->GetLayer();
1418     Double_t v00=sigma[0];
1419     Double_t v11=sigma[1];
1420     Double_t v31=sigma[1]/rk;
1421     Double_t sigmaDv=newTrack->GetsigmaDv();
1422     Double_t v22=sigmaDv*sigmaDv  + newTrack->Getd2(layer-1);
1423     Double_t v32=newTrack->Getdtgl(layer-1);
1424     Double_t sigmaZv=newTrack->GetsigmaZv();  
1425     Double_t v33=(sigma[1]+sigmaZv*sigmaZv)/(rk*rk)+newTrack->Gettgl2(layer-1);
1426     //////////////////////////////////////////////////////////////////
1427     Double_t cin00,cin10,cin11,cin20,cin21,cin22,
1428              cin30,cin31,cin32,cin33,cin40,cin41,cin42,cin43,cin44;
1429     newTrack->GetCElements(cin00,
1430                            cin10,cin11,
1431                            cin20,cin21,cin22,
1432                            cin30,cin31,cin32,cin33,
1433                            cin40,cin41,cin42,cin43,cin44); //get C matrix
1434     Double_t r[4][4];
1435     r[0][0]=cin00+v00;
1436     r[1][0]=cin10;
1437     r[2][0]=cin20;
1438     r[3][0]=cin30;
1439     r[1][1]=cin11+v11;
1440     r[2][1]=cin21;
1441     r[3][1]=cin31+sigma[1]/rk;
1442     r[2][2]=cin22+sigmaDv*sigmaDv+newTrack->Getd2(layer-1);
1443     r[3][2]=cin32+newTrack->Getdtgl(layer-1);
1444     r[3][3]=cin33+(sigma[1]+sigmaZv*sigmaZv)/(rk*rk)+
1445                                     newTrack->Gettgl2(layer-1);
1446     r[0][1]=r[1][0]; r[0][2]=r[2][0]; r[0][3]=r[3][0]; 
1447     r[1][2]=r[2][1]; r[1][3]=r[3][1]; r[2][3]=r[3][2];
1448     /////////////////////  Matrix R inversion //////////////////////////
1449     const Int_t kn=4;
1450     Double_t big, hold;
1451     Double_t d=1.;
1452     Int_t ll[kn],mm[kn];
1453     Int_t i,j,k;
1454
1455     for(k=0; k<kn; k++) {
1456         ll[k]=k;
1457         mm[k]=k;
1458         big=r[k][k];
1459         for(j=k; j<kn ; j++) {
1460             for (i=j; i<kn; i++) {
1461                 if(TMath::Abs(big) < TMath::Abs(r[i][j]) ) { 
1462                     big=r[i][j]; 
1463                     ll[k]=i; 
1464                     mm[k]=j; 
1465                 } // end if
1466             } // end for i
1467         } // end for j
1468         //
1469         j= ll[k];
1470         if(j > k) {
1471             for(i=0; i<kn; i++) {
1472                 hold=-r[k][i]; 
1473                 r[k][i]=r[j][i]; 
1474                 r[j][i]=hold;
1475             } // end for i
1476         }// end if
1477         //
1478         i=mm[k];
1479         if(i > k ) { 
1480             for(j=0; j<kn; j++) {
1481                 hold=-r[j][k];
1482                 r[j][k]=r[j][i]; 
1483                 r[j][i]=hold; 
1484             } // end for j
1485         } // end if
1486         //
1487         if(!big) {
1488             d=0.;
1489             cout << "Singular matrix\n"; 
1490         } // end if
1491         for(i=0; i<kn; i++) {
1492             if(i == k) { continue; }    
1493             r[i][k]=r[i][k]/(-big);
1494         } // end for i
1495         //
1496         for(i=0; i<kn; i++) {
1497             hold=r[i][k];
1498             for(j=0; j<kn; j++) {
1499                 if(i == k || j == k) continue;
1500                 r[i][j]=hold*r[k][j]+r[i][j];
1501             } // end for j
1502         } // end of ri
1503         // 
1504         for(j=0; j<kn; j++) {
1505             if(j == k) continue;
1506             r[k][j]=r[k][j]/big;
1507         } // end for j
1508         //
1509         d=d*big;
1510         //
1511         r[k][k]=1./big;        
1512     } // end for k
1513     //
1514     for(k=kn-1; k>=0; k--) {
1515         i=ll[k];
1516         if(i > k) {
1517             for (j=0; j<kn; j++) {
1518                 hold=r[j][k];
1519                 r[j][k]=-r[j][i]; 
1520                 r[j][i]=hold;
1521             } // end for j
1522         } // end if i
1523         j=mm[k];
1524         if(j > k) {
1525             for (i=0; i<kn; i++) {
1526                 hold=r[k][i]; 
1527                 r[k][i]=-r[j][i]; 
1528                 r[j][i]=hold;
1529             } // end for i
1530         } // end if
1531     } // end for k
1532     ////////////////////////////////////////////////////////////////////
1533     Double_t k00=cin00*r[0][0]+cin10*r[1][0]+cin20*r[2][0]+cin30*r[3][0];
1534     Double_t k01=cin00*r[1][0]+cin10*r[1][1]+cin20*r[2][1]+cin30*r[3][1];
1535     Double_t k02=cin00*r[2][0]+cin10*r[2][1]+cin20*r[2][2]+cin30*r[3][2];
1536     Double_t k03=cin00*r[3][0]+cin10*r[3][1]+cin20*r[3][2]+cin30*r[3][3];
1537     Double_t k10=cin10*r[0][0]+cin11*r[1][0]+cin21*r[2][0]+cin31*r[3][0];  
1538     Double_t k11=cin10*r[1][0]+cin11*r[1][1]+cin21*r[2][1]+cin31*r[3][1];
1539     Double_t k12=cin10*r[2][0]+cin11*r[2][1]+cin21*r[2][2]+cin31*r[3][2];
1540     Double_t k13=cin10*r[3][0]+cin11*r[3][1]+cin21*r[3][2]+cin31*r[3][3];
1541     Double_t k20=cin20*r[0][0]+cin21*r[1][0]+cin22*r[2][0]+cin32*r[3][0];  
1542     Double_t k21=cin20*r[1][0]+cin21*r[1][1]+cin22*r[2][1]+cin32*r[3][1];  
1543     Double_t k22=cin20*r[2][0]+cin21*r[2][1]+cin22*r[2][2]+cin32*r[3][2];
1544     Double_t k23=cin20*r[3][0]+cin21*r[3][1]+cin22*r[3][2]+cin32*r[3][3];
1545     Double_t k30=cin30*r[0][0]+cin31*r[1][0]+cin32*r[2][0]+cin33*r[3][0];  
1546     Double_t k31=cin30*r[1][0]+cin31*r[1][1]+cin32*r[2][1]+cin33*r[3][1];  
1547     Double_t k32=cin30*r[2][0]+cin31*r[2][1]+cin32*r[2][2]+cin33*r[3][2];  
1548     Double_t k33=cin30*r[3][0]+cin31*r[3][1]+cin32*r[3][2]+cin33*r[3][3];
1549     Double_t k40=cin40*r[0][0]+cin41*r[1][0]+cin42*r[2][0]+cin43*r[3][0];
1550     Double_t k41=cin40*r[1][0]+cin41*r[1][1]+cin42*r[2][1]+cin43*r[3][1];
1551     Double_t k42=cin40*r[2][0]+cin41*r[2][1]+cin42*r[2][2]+cin43*r[3][2];  
1552     Double_t k43=cin40*r[3][0]+cin41*r[3][1]+cin42*r[3][2]+cin43*r[3][3];
1553
1554     Double_t x0,x1,x2,x3,x4;
1555     newTrack->GetXElements(x0,x1,x2,x3,x4);     // get the state vector
1556     Double_t savex0=x0, savex1=x1, savex2=x2, savex3=x3;
1557     x0+=k00*(m[0]-savex0)+k01*(m[1]-savex1)+k02*(m[2]-savex2)+
1558         k03*(m[3]-savex3);
1559     x1+=k10*(m[0]-savex0)+k11*(m[1]-savex1)+k12*(m[2]-savex2)+
1560         k13*(m[3]-savex3);
1561     x2+=k20*(m[0]-savex0)+k21*(m[1]-savex1)+k22*(m[2]-savex2)+
1562         k23*(m[3]-savex3);
1563     x3+=k30*(m[0]-savex0)+k31*(m[1]-savex1)+k32*(m[2]-savex2)+
1564         k33*(m[3]-savex3);
1565     x4+=k40*(m[0]-savex0)+k41*(m[1]-savex1)+k42*(m[2]-savex2)+
1566         k43*(m[3]-savex3);
1567     Double_t c00,c10,c20,c30,c40,c11,c21,c31,c41,c22,c32,c42,c33,c43,c44;
1568     c00=cin00-k00*cin00-k01*cin10-k02*cin20-k03*cin30;
1569     c10=cin10-k00*cin10-k01*cin11-k02*cin21-k03*cin31;
1570     c20=cin20-k00*cin20-k01*cin21-k02*cin22-k03*cin32;
1571     c30=cin30-k00*cin30-k01*cin31-k02*cin32-k03*cin33;
1572     c40=cin40-k00*cin40-k01*cin41-k02*cin42-k03*cin43;
1573     c11=cin11-k10*cin10-k11*cin11-k12*cin21-k13*cin31;
1574     c21=cin21-k10*cin20-k11*cin21-k12*cin22-k13*cin32;
1575     c31=cin31-k10*cin30-k11*cin31-k12*cin32-k13*cin33;
1576     c41=cin41-k10*cin40-k11*cin41-k12*cin42-k13*cin43;
1577     c22=cin22-k20*cin20-k21*cin21-k22*cin22-k23*cin32;
1578     c32=cin32-k20*cin30-k21*cin31-k22*cin32-k23*cin33;
1579     c42=cin42-k20*cin40-k21*cin41-k22*cin42-k23*cin43;
1580     c33=cin33-k30*cin30-k31*cin31-k32*cin32-k33*cin33;
1581     c43=cin43-k30*cin40-k31*cin41-k32*cin42-k33*cin43;
1582     c44=cin44-k40*cin40-k41*cin41-k42*cin42-k43*cin43;
1583
1584     newTrack->PutXElements(x0,x1,x2,x3,x4); // put the new state vector
1585     newTrack->PutCElements(c00,
1586                            c10,c11,
1587                            c20,c21,c22,
1588                            c30,c31,c32,c33,
1589                            c40,c41,c42,c43,c44); // put in track the
1590                                                  // new cov matrix
1591     Double_t vmc[4][4];
1592     vmc[0][0]=v00-c00; vmc[1][0]=-c10; vmc[2][0]=-c20; vmc[3][0]=-c30;
1593     vmc[1][1]=v11-c11; vmc[2][1]=-c21; vmc[3][1]=v31-c31;
1594     vmc[2][2]=v22-c22; vmc[3][2]=v32-c32;
1595     vmc[3][3]=v33-c33;
1596     vmc[0][1]=vmc[1][0]; vmc[0][2]=vmc[2][0]; vmc[0][3]=vmc[3][0];
1597     vmc[1][2]=vmc[2][1]; vmc[1][3]=vmc[3][1];
1598     vmc[2][3]=vmc[3][2];
1599     /////////////////////// vmc matrix inversion /////////////////////// 
1600     d=1.;
1601     for(k=0; k<kn; k++) {
1602         ll[k]=k;
1603         mm[k]=k;
1604         big=vmc[k][k];
1605         for(j=k; j<kn ; j++) {
1606             for (i=j; i<kn; i++) {
1607                 if(TMath::Abs(big) < TMath::Abs(vmc[i][j]) ) {
1608                     big=vmc[i][j]; 
1609                     ll[k]=i;
1610                     mm[k]=j;
1611                 } // end if
1612             } // end for i
1613         } // end for j
1614         //
1615         j= ll[k];
1616         if(j > k) {
1617             for(i=0; i<kn; i++) {
1618                 hold=-vmc[k][i]; 
1619                 vmc[k][i]=vmc[j][i];
1620                 vmc[j][i]=hold;
1621             } // end for i
1622         } // end if
1623         //
1624         i=mm[k];
1625         if(i > k ) { 
1626             for(j=0; j<kn; j++) { 
1627                 hold=-vmc[j][k]; 
1628                 vmc[j][k]=vmc[j][i]; 
1629                 vmc[j][i]=hold; 
1630             } // end for j
1631         } // end if
1632         //
1633         if(!big) {
1634             d=0.;
1635             cout << "Singular matrix\n"; 
1636         } // end if
1637         for(i=0; i<kn; i++) {
1638             if(i == k) continue;    
1639             vmc[i][k]=vmc[i][k]/(-big);
1640         }    // end for i
1641         //
1642         for(i=0; i<kn; i++) {
1643             hold=vmc[i][k];
1644             for(j=0; j<kn; j++) {
1645                 if(i == k || j == k) continue;
1646                 vmc[i][j]=hold*vmc[k][j]+vmc[i][j];
1647             } // end for j
1648         } // end for i
1649         //  
1650         for(j=0; j<kn; j++) {
1651             if(j == k) continue;
1652             vmc[k][j]=vmc[k][j]/big;
1653         } // end for j
1654         //
1655         d=d*big;
1656         //
1657         vmc[k][k]=1./big;        
1658     }  // end for k
1659     //  
1660     for(k=kn-1; k>=0; k--) {
1661         i=ll[k];
1662         if(i > k) {
1663             for (j=0; j<kn; j++) {
1664                 hold=vmc[j][k]; 
1665                 vmc[j][k]=-vmc[j][i];
1666                 vmc[j][i]=hold;
1667             } // end for j
1668         } // end if i>k
1669         j=mm[k];
1670         if(j > k) {
1671             for (i=0; i<kn; i++) {
1672                 hold=vmc[k][i]; 
1673                 vmc[k][i]=-vmc[j][i]; 
1674                 vmc[j][i]=hold;
1675             } // end for i
1676         } // end if j>k
1677     } // end for k
1678     ////////////////////////////////////////////////////////////////////
1679     Double_t chi2=(m[0]-x0)*( vmc[0][0]*(m[0]-x0) + 2.*vmc[1][0]*(m[1]-x1) + 
1680                               2.*vmc[2][0]*(m[2]-x2)+ 2.*vmc[3][0]*(m[3]-x3) )+
1681         (m[1]-x1)* ( vmc[1][1]*(m[1]-x1) + 2.*vmc[2][1]*(m[2]-x2)+ 
1682                      2.*vmc[3][1]*(m[3]-x3) ) +
1683         (m[2]-x2)* ( vmc[2][2]*(m[2]-x2)+ 2.*vmc[3][2]*(m[3]-x3) ) +
1684         (m[3]-x3)*vmc[3][3]*(m[3]-x3);
1685     //cout<<" chi2 kalman = "<<chi2<<"\n";  getchar(); 
1686     newTrack->SetChi2(newTrack->GetChi2()+chi2);   
1687     //   newTrack->SetChi2(newTrack->GetChi2()+chi2pred);
1688 }