The access to several data members was changed from public to protected. The digitisa...
[u/mrichter/AliRoot.git] / RICH / AliRICHDetect.cxx
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 1.15  2001/10/21 18:31:23  hristov
19   Several pointers were set to zero in the default constructors to avoid memory management problems
20
21   Revision 1.14  2001/05/14 13:25:54  hristov
22   stdlib.h included (for Alpha)
23
24   Revision 1.13  2001/05/10 12:26:31  jbarbosa
25   Totally reworked version of reconstruction algorithm.
26
27   Revision 1.12  2001/02/27 22:15:03  jbarbosa
28   Removed compiler warning.
29
30   Revision 1.11  2001/02/27 15:21:46  jbarbosa
31   Transition to SDigits.
32
33   Revision 1.10  2001/02/13 20:39:06  jbarbosa
34   Changes to make it work with new IO.
35
36   Revision 1.9  2001/01/22 21:39:11  jbarbosa
37   Several tune-ups
38
39   Revision 1.8  2000/11/15 15:52:53  jbarbosa
40   Turned on spot algorithm.
41
42   Revision 1.7  2000/11/01 15:37:05  jbarbosa
43   Updated to use its own rec. point object.
44
45   Revision 1.6  2000/10/02 21:28:12  fca
46   Removal of useless dependecies via forward declarations
47
48   Revision 1.5  2000/06/30 16:30:28  dibari
49   Disabled writing to rechits.
50
51   Revision 1.4  2000/06/15 15:46:59  jbarbosa
52   Corrected compilation errors on HP-UX (replaced pow with TMath::Power)
53
54   Revision 1.3  2000/06/13 13:15:41  jbarbosa
55   Still some code cleanup done (variable names)
56
57   Revision 1.2  2000/06/12 15:19:30  jbarbosa
58   Cleaned up version.
59
60   Revision 1.1  2000/04/19 13:05:14  morsch
61   J. Barbosa's spot reconstruction algorithm.
62
63 */
64
65 #include <stdlib.h>
66
67
68 #include "AliRICH.h"
69 #include "AliRICHPoints.h"
70 #include "AliRICHDetect.h"
71 #include "AliRICHHit.h"
72 #include "AliRICHDigit.h"
73 #include "AliRICHSegmentationV0.h"
74 #include "AliRun.h"
75 #include "TParticle.h"
76 #include "TTree.h"
77 #include "TMath.h"
78 #include "TRandom.h"
79 #include "TH3.h"
80 #include "TH2.h"
81 #include "TCanvas.h"
82
83 #include "malloc.h"
84
85
86 ClassImp(AliRICHDetect)
87 //___________________________________________
88 AliRICHDetect::AliRICHDetect() : TObject()
89 {
90
91 // Default constructor 
92
93   fc1 = 0;
94   fc2 = 0;
95   fc3 = 0;
96
97 }
98
99 //___________________________________________
100 AliRICHDetect::AliRICHDetect(const char *name, const char *title)
101     : TObject()
102 {
103
104
105   fc1= new TCanvas("c1","Reconstructed points",50,50,300,350);
106   fc1->Divide(2,2);
107   fc2= new TCanvas("c2","Reconstructed points after SPOT",50,50,300,350);
108   fc2->Divide(2,2); 
109   fc3= new TCanvas("c3","Used Digits",50,50,300,350);
110   //fc3->Divide(2,1); 
111
112 }
113
114 //___________________________________________
115 AliRICHDetect::~AliRICHDetect()
116 {
117     
118 // Destructor
119
120 }
121
122
123 void AliRICHDetect::Detect(Int_t nev)
124 {       
125     
126 //
127 // Detection algorithm
128
129
130   //printf("Detection started!\n");
131   Float_t omega,omega1,theta1,steptheta,stepphi,x,y,z,cx,cy,l,aux1,aux2,aux3,max,radius=0,meanradius=0;
132   Int_t maxi,maxj,maxk;
133   //Float_t theta,phi,realomega,realtheta;
134   Float_t binomega, bintheta, binphi;
135   Int_t intomega, inttheta, intphi;
136   Int_t i,j,k;
137
138   AliRICH *pRICH  = (AliRICH*)gAlice->GetDetector("RICH");
139   AliRICHSegmentationV0*  segmentation;
140   AliRICHChamber*       iChamber;
141   AliRICHGeometry*  geometry;
142   
143   iChamber = &(pRICH->Chamber(0));
144   segmentation=(AliRICHSegmentationV0*) iChamber->GetSegmentationModel(0);
145   geometry=iChamber->GetGeometryModel();
146  
147   
148   //const Float_t Noise_Level=0;                       //Noise Level in percentage of mesh points
149   //const Float_t t=0.6;                               //Softening of Noise Correction (factor)
150   
151   const Float_t kPi=TMath::Pi();                
152   
153   const Float_t kHeight=geometry->GetRadiatorToPads(); //Distance from Radiator to Pads in centimeters
154   //printf("Distance to Pads:%f\n",kHeight);
155  
156   const Int_t kSpot=0;                                 //number of passes with spot algorithm
157   
158   const Int_t kDimensionTheta=30;                      //Matrix dimension for angle Detection
159   const Int_t kDimensionPhi=45;
160   const Int_t kDimensionOmega=100;
161   
162   const Float_t SPOTp=1;                              //Percentage of spot action
163   const Float_t kMinOmega=20*kPi/180;
164   const Float_t kMaxOmega=70*kPi/180;                 //Maximum Cherenkov angle to identify
165   const Float_t kMinTheta=0;
166   const Float_t kMaxTheta=15*kPi/180;   
167   //const Float_t kMaxTheta=0.1;
168   const Float_t kMinPhi=0;
169   const Float_t kMaxPhi=360*kPi/180;
170
171  
172   Float_t kCorr=0.61;                              //Correction factor, accounting for aberration, refractive index, etc.
173   //const Float_t kCorr=.9369;                        //from 0 incidence  
174   //const Float_t kCorr=1;
175
176   //TRandom* random=0;
177
178   Float_t rechit[6];                                 //Reconstructed point data
179
180   
181
182   //printf("Creating matrices\n");
183   //Float_t point[kDimensionTheta][kDimensionPhi][kDimensionOmega];
184   //Float_t point1[kDimensionTheta][kDimensionPhi][kDimensionOmega];
185   //printf("Created matrices\n");
186
187   Int_t ***point = i3tensor(0,kDimensionTheta,0,kDimensionPhi,0,kDimensionOmega);
188   Int_t ***point1 = i3tensor(0,kDimensionTheta,0,kDimensionPhi,0,kDimensionOmega);
189   
190   //Int_t **point  = new Int_t[kDimensionTheta][kDimensionPhi][kDimensionOmega];
191   //Int_t **point1 = new Int_t[kDimensionTheta][kDimensionPhi][kDimensionOmega];
192
193   steptheta=(kMaxTheta-kMinTheta)/kDimensionTheta;
194   stepphi=(kMaxPhi-kMinPhi)/kDimensionPhi;
195
196   static TH3F *Points = new TH3F("Points","Reconstructed points 3D",kDimensionTheta,0,kDimensionTheta,kDimensionPhi,0,kDimensionPhi,kDimensionOmega,0,kDimensionOmega);
197   static TH2F *ThetaPhi = new TH2F("ThetaPhi","Theta-Phi projection",kDimensionTheta,0,kDimensionTheta,kDimensionPhi,0,kDimensionPhi);
198   static TH2F *OmegaTheta = new TH2F("OmegaTheta","Omega-Theta projection",kDimensionTheta,0,kDimensionTheta,kDimensionOmega,0,kDimensionOmega);
199   static TH2F *OmegaPhi = new TH2F("OmegaPhi","Omega-Phi projection",kDimensionPhi,0,kDimensionPhi,kDimensionOmega,0,kDimensionOmega);
200   static TH3F *SpotPoints = new TH3F("Points","Reconstructed points 3D, spot",kDimensionTheta,0,kDimensionTheta,kDimensionPhi,0,kDimensionPhi,kDimensionOmega,0,kDimensionOmega);
201   static TH2F *SpotThetaPhi = new TH2F("ThetaPhi","Theta-Phi projection, spot",kDimensionTheta,0,kDimensionTheta,kDimensionPhi,0,kDimensionPhi);
202   static TH2F *SpotOmegaTheta = new TH2F("OmegaTheta","Omega-Theta projection, spot",kDimensionTheta,0,kDimensionTheta,kDimensionOmega,0,kDimensionOmega);
203   static TH2F *SpotOmegaPhi = new TH2F("OmegaPhi","Omega-Phi projection, spot",kDimensionPhi,0,kDimensionPhi,kDimensionOmega,0,kDimensionOmega);
204   static TH2F *DigitsXY = new TH2F("DigitsXY","Pads used for reconstruction",150,-25,25,150,-25,25);
205   Points->SetXTitle("theta");
206   Points->SetYTitle("phi");
207   Points->SetZTitle("omega");
208   ThetaPhi->SetXTitle("theta");
209   ThetaPhi->SetYTitle("phi");
210   OmegaTheta->SetXTitle("theta");
211   OmegaTheta->SetYTitle("omega");
212   OmegaPhi->SetXTitle("phi");
213   OmegaPhi->SetYTitle("omega");
214   SpotPoints->SetXTitle("theta");
215   SpotPoints->SetYTitle("phi");
216   SpotPoints->SetZTitle("omega");
217   SpotThetaPhi->SetXTitle("theta");
218   SpotThetaPhi->SetYTitle("phi");
219   SpotOmegaTheta->SetXTitle("theta");
220   SpotOmegaTheta->SetYTitle("omega");
221   SpotOmegaPhi->SetXTitle("phi");
222   SpotOmegaPhi->SetYTitle("omega");
223
224   Int_t ntracks = (Int_t)gAlice->TreeH()->GetEntries();
225   //Int_t ntrks = gAlice->GetNtrack();
226   
227   Float_t trackglob[3];
228   Float_t trackloc[3];
229
230   //printf("Area de uma elipse com teta 0 e Omega 45:%f",Area(0,45));
231     
232   Int_t track;
233         
234   for (track=0; track<ntracks;track++) {
235     gAlice->ResetHits();
236     gAlice->TreeH()->GetEvent(track);
237     TClonesArray *pHits  = pRICH->Hits();
238     if (pHits == 0) return;
239     Int_t nhits = pHits->GetEntriesFast();
240     if (nhits == 0) continue;
241     //Int_t nent=(Int_t)gAlice->TreeD()->GetEntries();
242     gAlice->TreeD()->GetEvent(0);
243     AliRICHHit *mHit = 0;
244     AliRICHDigit *points = 0;
245     //Int_t npoints=0;
246     
247     Int_t counter=0, counter1=0;
248     //Initialization
249     for(i=0;i<kDimensionTheta;i++)
250       {
251         for(j=0;j<kDimensionPhi;j++)
252           {
253             for(k=0;k<kDimensionOmega;k++)
254               {
255                 counter++;
256                 point[i][j][k]=0;
257                 //printf("Dimensions theta:%d, phi:%d, omega:%d",kDimensionTheta,kDimensionPhi,kDimensionOmega);
258                 //printf("Resetting %d %d %d, time %d\n",i,j,k,counter);
259                 //-Noise_Level*(Area(i*kPi/(18*dimension),k*kMaxOmega/dimension)-Area((i-1)*kPi/(18*dimension),(k-1)*kMaxOmega/dimension));
260                 //printf("n-%f",-Noise_Level*(Area(i*kPi/(18*dimension),k*kMaxOmega/dimension)-Area((i-1)*kPi/(18*dimension),(k-1)*kMaxOmega/dimension)));
261               }
262           }
263       }
264     mHit = (AliRICHHit*) pHits->UncheckedAt(0);
265     //printf("Aqui vou eu\n");
266     Int_t nch  = mHit->Chamber();
267     //printf("Aqui fui eu\n");
268     trackglob[0] = mHit->X();
269     trackglob[1] = mHit->Y();
270     trackglob[2] = mHit->Z();
271
272     printf("Chamber processed:%d\n",nch);
273
274     printf("Reconstructing particle at (global coordinates): %3.1f %3.1f %3.1f,\n",trackglob[0],trackglob[1],trackglob[2]);
275
276     iChamber = &(pRICH->Chamber(nch-1));
277     
278     //printf("Nch:%d\n",nch);
279
280     iChamber->GlobaltoLocal(trackglob,trackloc);
281     
282     printf("Reconstructing particle at (local coordinates) : %3.1f %3.1f %3.1f\n",trackloc[0],trackloc[1],trackloc[2]);
283
284
285     iChamber->LocaltoGlobal(trackloc,trackglob);
286        
287     //printf("Transformation 2: %3.1f %3.1f %3.1f\n",trackglob[0],trackglob[1],trackglob[2]);
288     
289     cx=trackloc[0];
290     cy=trackloc[2];
291      
292
293     TClonesArray *pDigits = pRICH->DigitsAddress(nch-1);   
294     Int_t ndigits = pDigits->GetEntriesFast();
295     
296     //printf("Got %d digits\n",ndigits);
297
298     counter=0;
299     printf("Starting calculations\n");
300     for(Float_t theta=0;theta<kMaxTheta;theta+=steptheta)
301       {         
302         //printf(".");
303         for(Float_t phi=0;phi<=kMaxPhi;phi+=stepphi)
304           {             
305             //printf("Phi:%3.1f\n", phi*180/kPi);
306             counter1=0;
307             for (Int_t dig=0;dig<ndigits;dig++)
308               { 
309                 points=(AliRICHDigit*) pDigits->UncheckedAt(dig);
310                 segmentation->GetPadC(points->PadX(), points->PadY(),x, y, z);
311                 x=x-cx;
312                 y=y-cy;
313                 radius=TMath::Sqrt(TMath::Power(x,2)+TMath::Power(y,2));
314
315                 if(radius>4)
316                   {
317                     //if(theta==0 && phi==0)
318                       //{
319                         //printf("Radius: %f, Max Radius: %f\n",radius,kCorr*kHeight*tan(theta+kMaxOmega)*3/4);
320                         meanradius+=radius;
321                         counter++;
322                       //}
323                     
324                     if (radius<2*kHeight*tan(theta+kMaxOmega)*3/4)
325                       {
326                         
327                         if(phi==0)
328                           {
329                             //printf("Radius: %f, Max Radius: %f\n",radius,2*kHeight*tan(theta+kMaxOmega)*3/4);
330                             //printf("Loaded digit %d with coordinates x:%f, y%f\n",dig,x,y);
331                             //printf("Using digit %d, for theta %f\n",dig,theta);
332                           }
333                         
334                         counter1++;
335
336                         l=kHeight/cos(theta);
337                         
338                         //x=x*kCorr;
339                         //y=y*kCorr;
340                         /*if(SnellAngle(theta+omega)<999)
341                           {
342                             //printf("(Angle)/(Snell angle):%f\n",(theta+omega)/SnellAngle(theta+omega));
343                             x=x*(theta+omega)/SnellAngle(theta+omega);
344                             y=y*(theta+omega)/SnellAngle(theta+omega);
345                           }
346                         else
347                           {
348                             x=0;
349                             y=0;
350                           }*/
351
352                         //main calculation
353
354                         DigitsXY->Fill(x,y,(float) 1);
355
356                         theta1=SnellAngle(theta)*1.5;
357                 
358                         aux1=-y*sin(phi)+x*cos(phi);
359                         aux2=y*cos(phi)+x*sin(phi);
360                         aux3=( TMath::Power(aux1,2)+TMath::Power(cos(theta1)*aux2 ,2))/TMath::Power(sin(theta1)*aux2+l,2);
361                         omega=atan(sqrt(aux3));
362                         
363                         //omega is distorted, theta1 is distorted
364
365                         if(InvSnellAngle(theta+omega)<999)
366                           {
367                             omega1=InvSnellAngle(omega+theta1) - theta;
368                             //theta1=InvSnellAngle(omega+theta) - omega1;
369                             //omega1=kCorr*omega;
370                             
371                             kCorr=InvSnellAngle(omega+theta)/(omega+theta);
372                             theta1=kCorr*theta/1.4;
373                             //if(phi==0)
374                               //printf("Omega:%f Theta:%f Omega1:%f Theta1:%f ISA(o+t):%f ISA(t):%f\n",omega*180/kPi,theta*180/kPi,omega1*180/kPi,theta1*180/kPi,InvSnellAngle(omega+theta)*180/kPi,InvSnellAngle(theta)*180/kPi);
375                           }
376                         else
377                           {
378                             omega1=0;
379                             theta1=0;
380                           }
381                         
382                         //printf("Omega:%f\n",omega);
383
384
385                         //if(SnellAngle(theta+omega)<999)
386                           //printf("(Angle)/(Snell angle):%f\n",(theta+omega)/SnellAngle(theta+omega));
387                         if(theta==0 && phi==0)
388                           {
389                             //printf("Omega: %f Corrected Omega: %f\n",omega, omega/kCorr);
390                             //omega=omega/kCorr;
391                           }
392                         
393                         //cout<<"\ni="<<i<<" theta="<<Int_t(2*theta*dimension/kPi)<<" phi="<<Int_t(2*phi*dimension/kPi)<<" omega="<<Int_t(2*omega*dimension/kPi)<<endl<<endl;
394                         //{Int_t lixo;cin>>lixo;}
395                         if(omega1<kMaxOmega && omega1>kMinOmega)
396                           {
397                             //printf("Omega found:%f\n",omega);
398                             omega1=omega1-kMinOmega;
399                             
400                             //printf("Omega: %f Theta: %3.1f Phi:%3.1f\n",omega, theta*180/kPi, phi*180/kPi);
401
402                             bintheta=theta1*kDimensionTheta/kMaxTheta;
403                             binphi=phi*kDimensionPhi/kMaxPhi;
404                             binomega=omega1*kDimensionOmega/(kMaxOmega-kMinOmega);
405
406                             if(Int_t(bintheta+0.5)==Int_t(bintheta))
407                               inttheta=Int_t(bintheta);
408                             else
409                               inttheta=Int_t(bintheta+0.5);
410
411                             if(Int_t(binomega+0.5)==Int_t(binomega))
412                               intomega=Int_t(binomega);
413                             else
414                               intomega=Int_t(binomega+0.5);
415                             
416                             if(Int_t(binphi+0.5)==Int_t(binphi))
417                               intphi=Int_t(binphi);
418                             else
419                               intphi=Int_t(binphi+0.5);
420                                                  
421                             //printf("Point added at %d %d %d\n",inttheta,intphi,intomega);
422                             point[inttheta][intphi][intomega]+=1;
423                             //printf("Omega stored:%d\n",intomega);
424                             Points->Fill(inttheta,intphi,intomega,(float) 1);
425                             ThetaPhi->Fill(inttheta,intphi,(float) 1);
426                             OmegaTheta->Fill(inttheta,intomega,(float) 1);
427                             OmegaPhi->Fill(intphi,intomega,(float) 1);
428                             //printf("Filling at %d %d %d\n",Int_t(theta*kDimensionTheta/kMaxTheta),Int_t(phi*kDimensionPhi/kMaxPhi),Int_t(omega*kDimensionOmega/kMaxOmega));
429                           }
430                         //if(omega<kMaxOmega)point[Int_t(theta)][Int_t(phi)][Int_t(omega)]+=1;
431                       }
432                   }
433               }
434           }
435         //printf("Used %d digits for theta %3.1f\n",counter1, theta*180/kPi);
436       }
437
438     meanradius=meanradius/counter;
439     printf("Mean radius:%f, counter:%d\n",meanradius,counter);
440     rechit[5]=meanradius;
441     printf("Used %d digits\n",counter1);
442     //printf("\n");
443
444     if(nev<20)
445       {
446         if(nev==0)
447           {
448             fc1->cd(1);
449             Points->Draw();
450             fc1->cd(2);
451             ThetaPhi->Draw();
452             fc1->cd(3);
453             OmegaTheta->Draw();
454             fc1->cd(4);
455             OmegaPhi->Draw();
456             fc3->cd();
457             DigitsXY->Draw();
458           }
459         else
460           {
461             //fc1->cd(1);
462             //Points->Draw("same");
463             //fc1->cd(2);
464             //ThetaPhi->Draw("same");
465             //fc1->cd(3);
466             //OmegaTheta->Draw("same");
467             //fc1->cd(4);
468             //OmegaPhi->Draw("same");   
469           }
470       }
471         
472     
473     //SPOT execute twice
474     for(Int_t s=0;s<kSpot;s++)
475       {
476         printf("     Applying Spot algorithm, pass %d\n", s);
477         
478         //buffer copy
479         for(i=0;i<=kDimensionTheta;i++)
480           {
481             for(j=0;j<=kDimensionPhi;j++)
482               {
483                 for(k=0;k<=kDimensionOmega;k++)
484                   {
485                     point1[i][j][k]=point[i][j][k];     
486                   }
487               }
488           }
489
490         //SPOT algorithm                        
491         for(i=1;i<kDimensionTheta-1;i++)
492           {
493             for(j=1;j<kDimensionPhi-1;j++)
494               {
495                 for(k=1;k<kDimensionOmega-1;k++)
496                   {
497                     if((point[i][k][j]>point[i-1][k][j])&&(point[i][k][j]>point[i+1][k][j])&&
498                        (point[i][k][j]>point[i][k-1][j])&&(point[i][k][j]>point[i][k+1][j])&&
499                        (point[i][k][j]>point[i][k][j-1])&&(point[i][k][j]>point[i][k][j+1]))
500                       {
501                         //cout<<"SPOT"<<endl;
502                         //Execute SPOT on point                                                                                         
503                         point1[i][j][k]+=Int_t(SPOTp*(point[i-1][k][j]+point[i+1][k][j]+point[i][k-1][j]+point[i][k+1][j]+point[i][k][j-1]+point[i][k][j+1]));    
504                         point1[i-1][k][j]=Int_t(SPOTp*point[i-1][k][j]);
505                         point1[i+1][k][j]=Int_t(SPOTp*point[i+1][k][j]);
506                         point1[i][k-1][j]=Int_t(SPOTp*point[i][k-1][j]);
507                         point1[i][k+1][j]=Int_t(SPOTp*point[i][k+1][j]);
508                         point1[i][k][j-1]=Int_t(SPOTp*point[i][k][j-1]);
509                         point1[i][k][j+1]=Int_t(SPOTp*point[i][k][j+1]);
510                       }
511                   }
512               }
513           }
514         
515         //copy from buffer copy
516         counter1=0;
517         for(i=1;i<kDimensionTheta;i++)
518           {
519             for(j=1;j<kDimensionPhi;j++)
520               {
521                 for(k=1;k<kDimensionOmega;k++)
522                   {
523                     point[i][j][k]=point1[i][j][k];
524                     if(nev<20)
525                       {
526                         if(s==kSpot-1)
527                           {
528                             if(point1[i][j][k] != 0)
529                               {
530                                 SpotPoints->Fill(i,j,k,(float) point1[i][j][k]);
531                                 //printf("Random number %f\n",random->Rndm(2));
532                                 //if(random->Rndm() < .2)
533                                   //{
534                                 SpotThetaPhi->Fill(i,j,(float) point1[i][j][k]);
535                                 SpotOmegaTheta->Fill(i,k,(float) point1[i][j][k]);
536                                 SpotOmegaPhi->Fill(j,k,(float) point1[i][j][k]);
537                                     counter1++;
538                                   //}
539                                 //printf("Filling at %d %d %d value %f\n",i,j,k,(float) point1[i][j][k]);
540                               }
541                           }
542                       }
543                     //if(point1[i][j][k] != 0)
544                       //printf("Last transfer point: %d, point1, %d\n",point[i][j][k],point1[i][j][k]);
545                   }
546               }
547           }
548       }
549     
550     //printf("Filled %d cells\n",counter1);
551
552     if(nev<20)
553       {
554         if(nev==0)
555           {
556             fc2->cd(1);
557             SpotPoints->Draw();
558             fc2->cd(2);
559             SpotThetaPhi->Draw();
560             fc2->cd(3);
561             SpotOmegaTheta->Draw();
562             fc2->cd(4);
563             SpotOmegaPhi->Draw();
564           }
565         else
566           {
567             //fc2->cd(1);
568             //SpotPoints->Draw("same");
569             //fc2->cd(2);
570             //SpotThetaPhi->Draw("same");
571             //fc2->cd(3);
572             //SpotOmegaTheta->Draw("same");
573             //fc2->cd(4);
574             //SpotOmegaPhi->Draw("same");       
575           }
576       }
577     
578     
579     //Identification is equivalent to maximum determination
580     max=0;maxi=0;maxj=0;maxk=0;
581     
582     printf("     Proceeding to identification");
583     
584     for(i=0;i<kDimensionTheta;i++)
585       for(j=0;j<kDimensionPhi;j++)
586         for(k=0;k<kDimensionOmega;k++)
587             if(point[i][j][k]>max)
588               {
589                 //cout<<"maxi="<<i*90/dimension<<" maxj="<<j*90/dimension<<" maxk="<<k*kMaxOmega/dimension*180/kPi<<" max="<<max<<endl;
590                 maxi=i;maxj=j;maxk=k;
591                 max=point[i][j][k];
592                 printf(".");
593                 //printf("Max Omega %d, Max Theta %d, Max Phi %d (%d counts)\n",maxk,maxi,maxj,max);
594               }
595     printf("\n");
596     
597     Float_t FinalOmega = maxk*(kMaxOmega-kMinOmega)/kDimensionOmega; 
598     Float_t FinalTheta = maxi*kMaxTheta/kDimensionTheta;
599     Float_t FinalPhi = maxj*kMaxPhi/kDimensionPhi;
600
601     FinalOmega += kMinOmega;
602     
603     //printf("Detected angle for height %3.1f and for center %3.1f %3.1f:%f\n",h,cx,cy,maxk*kPi/(kDimensionTheta*4));
604     printf("     Indentified angles: cerenkov - %f, theta - %3.1f, phi - %3.1f (%f activation)\n", FinalOmega, FinalTheta*180/kPi, FinalPhi*180/kPi, max);
605     //printf("Detected angle for height %3.1f and for center %3.1f %3.1f:%f\n",kHeight,cx,cy,maxk);
606
607     //fscanf(omegas,"%f",&realomega);
608     //fscanf(thetas,"%f",&realtheta);
609     //printf("Real Omega: %f",realomega);                       
610     //cout<<"Detected:theta="<<maxi*90/kDimensionTheta<<"phi="<<maxj*90/kDimensionPhi<<"omega="<<maxk*kMaxOmega/kDimensionOmega*180/kPi<<" OmegaError="<<fabs(maxk*kMaxOmega/kDimensionOmega*180/kPi-realomega)<<" ThetaError="<<fabs(maxi*90/kDimensionTheta-realtheta)<<endl<<endl;           
611     
612     //fprintf(results,"Center Coordinates, cx=%6.2f cy=%6.2f, Real Omega=%6.2f, Detected Omega=%6.2f, Omega Error=%6.2f Theta Error=%6.2f\n",cx,cy,realomega,maxk*kMaxOmega/kDimensionOmega*180/kPi,fabs(maxk*kMaxOmega/kDimensionOmega*180/kPi-realomega),fabs(maxi*90/kDimensionTheta-realtheta));
613     
614     /*for(j=0;j<np;j++)
615       pointpp(maxj*90/kDimensionTheta,maxi*90/kDimensionPhi,maxk*kMaxOmega/kDimensionOmega*180/kPi,cx,cy);//Generates a point on the elipse*/               
616
617
618     //Start filling rec. hits
619     
620     rechit[0] = FinalTheta;
621     rechit[1] = 90*kPi/180 + FinalPhi;
622     rechit[2] = FinalOmega;
623     rechit[3] = cx;
624     rechit[4] = cy;
625
626     //CreatePoints(FinalTheta, 270*kPi/180 + FinalPhi, FinalOmega, kHeight);
627        
628     //printf ("track %d, theta %f, phi %f, omega %f\n\n\n",track,rechit[0],rechit[1],rechit[2]);
629     
630     // fill rechits
631     pRICH->AddRecHit3D(nch-1,rechit);
632     //printf("rechit %f %f %f %f %f\n",rechit[0],rechit[1],rechit[2],rechit[3],rechit[4]);
633     //printf("Chamber:%d",nch);
634   }                     
635   //printf("\n\n\n\n");
636   gAlice->TreeR()->Fill();
637   TClonesArray *fRec;
638   for (i=0;i<kNCH;i++) {
639     fRec=pRICH->RecHitsAddress3D(i);
640     int ndig=fRec->GetEntriesFast();
641     printf ("Chamber %d, rings %d\n",i+1,ndig);
642   }
643   pRICH->ResetRecHits3D();
644
645   free_i3tensor(point,0,kDimensionTheta,0,kDimensionPhi,0,kDimensionOmega);
646   free_i3tensor(point1,0,kDimensionTheta,0,kDimensionPhi,0,kDimensionOmega);
647 }
648
649
650
651 Float_t AliRICHDetect:: Area(Float_t theta,Float_t omega)
652 {
653
654 //
655 // Calculates area of an ellipse for given incidence angles    
656
657
658     Float_t area;
659     const Float_t kHeight=9.25;                       //Distance from Radiator to Pads in pads
660     
661     area=TMath::Pi()*TMath::Power(kHeight*tan(omega),2)/TMath::Power(TMath::Power(cos(theta),2)-TMath::Power(tan(omega)*sin(theta),2),3/2);
662     
663     return (area);
664 }
665
666
667 Int_t ***AliRICHDetect::i3tensor(long nrl, long nrh, long ncl, long nch, long ndl, long ndh)
668 // allocate a Int_t 3tensor with range t[nrl..nrh][ncl..nch][ndl..ndh] 
669 {
670   long i,j,nrow=nrh-nrl+1,ncol=nch-ncl+1,ndep=ndh-ndl+1;
671   Int_t ***t;
672   
673   int NR_END=1; 
674
675   // allocate pointers to pointers to rows 
676   t=(Int_t ***) malloc((size_t)((nrow+NR_END)*sizeof(Int_t**)));
677   if (!t) printf("allocation failure 1 in f3tensor()");
678   t += NR_END;
679   t -= nrl;
680   
681   // allocate pointers to rows and set pointers to them 
682   t[nrl]=(Int_t **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(Int_t*)));
683   if (!t[nrl]) printf("allocation failure 2 in f3tensor()");
684   t[nrl] += NR_END;
685   t[nrl] -= ncl;
686   
687   // allocate rows and set pointers to them 
688   t[nrl][ncl]=(Int_t *) malloc((size_t)((nrow*ncol*ndep+NR_END)*sizeof(Int_t)));
689   if (!t[nrl][ncl]) printf("allocation failure 3 in f3tensor()");
690   t[nrl][ncl] += NR_END;
691   t[nrl][ncl] -= ndl;
692   
693   for(j=ncl+1;j<=nch;j++) t[nrl][j]=t[nrl][j-1]+ndep;
694   for(i=nrl+1;i<=nrh;i++) {
695     t[i]=t[i-1]+ncol;
696     t[i][ncl]=t[i-1][ncl]+ncol*ndep;
697     for(j=ncl+1;j<=nch;j++) t[i][j]=t[i][j-1]+ndep;
698   }
699   
700   // return pointer to array of pointers to rows 
701   return t;
702 }
703
704 void AliRICHDetect::free_i3tensor(int ***t, long nrl, long nrh, long ncl, long nch,long ndl, long ndh)
705 // free a Int_t f3tensor allocated by i3tensor()
706 {
707   int NR_END=1; 
708
709   free((char*) (t[nrl][ncl]+ndl-NR_END));
710   free((char*) (t[nrl]+ncl-NR_END));
711   free((char*) (t+nrl-NR_END));
712 }
713
714
715 Float_t AliRICHDetect:: SnellAngle(Float_t iangle)
716
717
718 // Compute the Snell angle
719
720   Float_t nfreon  = 1.295;
721   Float_t nquartz = 1.585;
722   Float_t ngas = 1;
723
724   Float_t sinrangle;
725   Float_t rangle;
726   Float_t a1, a2;
727
728   a1=nfreon/nquartz;
729   a2=nquartz/ngas;
730
731   sinrangle = a1*a2*sin(iangle);
732
733   if(sinrangle>1.) {
734      rangle = 999.;
735      return rangle;
736   }
737   
738   rangle = asin(sinrangle);  
739   return rangle;
740 }
741
742 Float_t AliRICHDetect:: InvSnellAngle(Float_t rangle)
743
744
745 // Compute the inverse Snell angle
746
747   Float_t nfreon  = 1.295;
748   Float_t nquartz = 1.585;
749   Float_t ngas = 1;
750
751   Float_t siniangle;
752   Float_t iangle;
753   Float_t a1,a2;
754
755   a1=nfreon/nquartz;
756   a2=nquartz/ngas;
757
758   siniangle = sin(rangle)/(a1*a2);
759   iangle = asin(siniangle);
760
761   if(siniangle>1.) {
762      iangle = 999.;
763      return iangle;
764   }
765   
766   iangle = asin(siniangle);
767   return iangle;
768 }
769
770
771
772 //________________________________________________________________________________
773 void AliRICHDetect::CreatePoints(Float_t theta, Float_t phi, Float_t omega, Float_t h)
774 {
775   
776   // Create points along the ellipse equation
777   
778   Int_t s1,s2;
779   Float_t fiducial=h*TMath::Tan(omega+theta), l=h/TMath::Cos(theta), xtrial, y=0, c0, c1, c2;
780   //TRandom *random=new TRandom();
781   
782   static TH2F *REllipse = new TH2F("REllipse","Reconstructed ellipses",150,-25,25,150,-25,25);
783
784   for(Float_t i=0;i<1000;i++)
785     {
786       
787       Float_t counter=0;
788       
789       c0=0;c1=0;c2=0;
790       while((c1*c1-4*c2*c0)<=0 && counter<1000)
791         {
792           //Choose which side to go...
793           if(i>250 && i<750) s1=1; 
794           //if (gRandom->Rndm(1)>.5) s1=1;
795           else s1=-1;
796           //printf("s1:%d\n",s1);
797           //Trial a y
798           y=s1*i*gRandom->Rndm(Int_t(fiducial/50));
799           //printf("Fiducial %f  for omega:%f theta:%f phi:%f\n",fiducial,omega,theta,fphi);
800           Float_t alfa1=theta;
801           Float_t theta1=phi;
802           Float_t omega1=omega;
803           
804           //Solve the eq for a trial x
805           c0=-TMath::Power(y*TMath::Cos(alfa1)*TMath::Cos(theta1),2)-TMath::Power(y*TMath::Sin(alfa1),2)+TMath::Power(l*TMath::Tan(omega1),2)+2*l*y*TMath::Cos(alfa1)*TMath::Sin(theta1)*TMath::Power(TMath::Tan(omega1),2)+TMath::Power(y*TMath::Cos(alfa1)*TMath::Sin(theta1)*TMath::Tan(omega1),2);
806           c1=2*y*TMath::Cos(alfa1)*TMath::Sin(alfa1)-2*y*TMath::Cos(alfa1)*TMath::Power(TMath::Cos(theta1),2)*TMath::Sin(alfa1)+2*l*TMath::Sin(alfa1)*TMath::Sin(theta1)*TMath::Power(TMath::Tan(omega1),2)+2*y*TMath::Cos(alfa1)*TMath::Sin(alfa1)*TMath::Power(TMath::Sin(theta1),2)*TMath::Power(TMath::Tan(omega1),2);
807           c2=-TMath::Power(TMath::Cos(alfa1),2)-TMath::Power(TMath::Cos(theta1)*TMath::Sin(alfa1),2)+TMath::Power(TMath::Sin(alfa1)*TMath::Sin(theta1)*TMath::Tan(omega1),2);
808           //cout<<"Trial: y="<<y<<"c0="<<c0<<" c1="<<c1<<" c2="<<c2<<endl;
809           //printf("Result:%f\n\n",c1*c1-4*c2*c0);
810           //i+=.01;
811           counter +=1;
812         }
813       
814       if (counter>=1000)
815         y=0; 
816
817       //Choose which side to go...
818       //if(gRandom->Rndm(1)>.5) s=1; 
819       //else s=-1;
820       if(i>500) s2=1;
821       //if (gRandom->Rndm(1)>.5) s2=1;
822       else s2=-1;
823       xtrial=(-c1+s2*TMath::Sqrt(c1*c1-4*c2*c0))/(2*c2);
824       //cout<<"x="<<xtrial<<" y="<<cy+y<<endl;
825       //printf("Coordinates: %f %f\n",xtrial,fCy+y);
826
827       REllipse->Fill(xtrial,y);
828
829       //printf("Coordinates: %f %f %f\n",vectorGlob[0],vectorGlob[1],vectorGlob[2]);
830     }
831   
832   fc3->cd(2);
833   REllipse->Draw();
834 }