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 }