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