Rotation Angle is +60 deg.

[u/mrichter/AliRoot.git] / RICH / AliRICHDetect.cxx

/**************************************************************************
 * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
 *                                                                        *
 * Author: The ALICE Off-line Project.                                    *
 * Contributors are mentioned in the code where appropriate.              *
 *                                                                        *
 * Permission to use, copy, modify and distribute this software and its   *
 * documentation strictly for non-commercial purposes is hereby granted   *
 * without fee, provided that the above copyright notice appears in all   *
 * copies and that both the copyright notice and this permission notice   *
 * appear in the supporting documentation. The authors make no claims     *
 * about the suitability of this software for any purpose. It is          *
 * provided "as is" without express or implied warranty.                  *
 **************************************************************************/

/*
  $Log$
  Revision 1.15  2001/10/21 18:31:23  hristov
  Several pointers were set to zero in the default constructors to avoid memory management problems

  Revision 1.14  2001/05/14 13:25:54  hristov
  stdlib.h included (for Alpha)

  Revision 1.13  2001/05/10 12:26:31  jbarbosa
  Totally reworked version of reconstruction algorithm.

  Revision 1.12  2001/02/27 22:15:03  jbarbosa
  Removed compiler warning.

  Revision 1.11  2001/02/27 15:21:46  jbarbosa
  Transition to SDigits.

  Revision 1.10  2001/02/13 20:39:06  jbarbosa
  Changes to make it work with new IO.

  Revision 1.9  2001/01/22 21:39:11  jbarbosa
  Several tune-ups

  Revision 1.8  2000/11/15 15:52:53  jbarbosa
  Turned on spot algorithm.

  Revision 1.7  2000/11/01 15:37:05  jbarbosa
  Updated to use its own rec. point object.

  Revision 1.6  2000/10/02 21:28:12  fca
  Removal of useless dependecies via forward declarations

  Revision 1.5  2000/06/30 16:30:28  dibari
  Disabled writing to rechits.

  Revision 1.4  2000/06/15 15:46:59  jbarbosa
  Corrected compilation errors on HP-UX (replaced pow with TMath::Power)

  Revision 1.3  2000/06/13 13:15:41  jbarbosa
  Still some code cleanup done (variable names)

  Revision 1.2  2000/06/12 15:19:30  jbarbosa
  Cleaned up version.

  Revision 1.1  2000/04/19 13:05:14  morsch
  J. Barbosa's spot reconstruction algorithm.

*/

#include <stdlib.h>


#include "AliRICH.h"
#include "AliRICHPoints.h"
#include "AliRICHDetect.h"
#include "AliRICHHit.h"
#include "AliRICHDigit.h"
#include "AliRICHSegmentationV0.h"
#include "AliRun.h"
#include "TParticle.h"
#include "TTree.h"
#include "TMath.h"
#include "TRandom.h"
#include "TH3.h"
#include "TH2.h"
#include "TCanvas.h"

#include "malloc.h"


ClassImp(AliRICHDetect)
//___________________________________________
AliRICHDetect::AliRICHDetect() : TObject()
{

// Default constructor 

  fc1 = 0;
  fc2 = 0;
  fc3 = 0;

}

//___________________________________________
AliRICHDetect::AliRICHDetect(const char *name, const char *title)
    : TObject()
{


  fc1= new TCanvas("c1","Reconstructed points",50,50,300,350);
  fc1->Divide(2,2);
  fc2= new TCanvas("c2","Reconstructed points after SPOT",50,50,300,350);
  fc2->Divide(2,2); 
  fc3= new TCanvas("c3","Used Digits",50,50,300,350);
  //fc3->Divide(2,1); 

}

//___________________________________________
AliRICHDetect::~AliRICHDetect()
{
    
// Destructor

}


void AliRICHDetect::Detect(Int_t nev)
{  	
    
//
// Detection algorithm


  //printf("Detection started!\n");
  Float_t omega,omega1,theta1,steptheta,stepphi,x,y,z,cx,cy,l,aux1,aux2,aux3,max,radius=0,meanradius=0;
  Int_t maxi,maxj,maxk;
  //Float_t theta,phi,realomega,realtheta;
  Float_t binomega, bintheta, binphi;
  Int_t intomega, inttheta, intphi;
  Int_t i,j,k;

  AliRICH *pRICH  = (AliRICH*)gAlice->GetDetector("RICH");
  AliRICHSegmentationV0*  segmentation;
  AliRICHChamber*       iChamber;
  AliRICHGeometry*  geometry;
  
  iChamber = &(pRICH->Chamber(0));
  segmentation=(AliRICHSegmentationV0*) iChamber->GetSegmentationModel(0);
  geometry=iChamber->GetGeometryModel();
 
  
  //const Float_t Noise_Level=0;                       //Noise Level in percentage of mesh points
  //const Float_t t=0.6;			       //Softening of Noise Correction (factor)
  
  const Float_t kPi=TMath::Pi();		
  
  const Float_t kHeight=geometry->GetRadiatorToPads(); //Distance from Radiator to Pads in centimeters
  //printf("Distance to Pads:%f\n",kHeight);
 
  const Int_t kSpot=0;                                 //number of passes with spot algorithm
  
  const Int_t kDimensionTheta=30;		       //Matrix dimension for angle Detection
  const Int_t kDimensionPhi=45;
  const Int_t kDimensionOmega=100;
  
  const Float_t SPOTp=1;		              //Percentage of spot action
  const Float_t kMinOmega=20*kPi/180;
  const Float_t kMaxOmega=70*kPi/180;		      //Maximum Cherenkov angle to identify
  const Float_t kMinTheta=0;
  const Float_t kMaxTheta=15*kPi/180;	
  //const Float_t kMaxTheta=0.1;
  const Float_t kMinPhi=0;
  const Float_t kMaxPhi=360*kPi/180;

 
  Float_t kCorr=0.61;                              //Correction factor, accounting for aberration, refractive index, etc.
  //const Float_t kCorr=.9369;                        //from 0 incidence  
  //const Float_t kCorr=1;

  //TRandom* random=0;

  Float_t rechit[6];                                 //Reconstructed point data

  

  //printf("Creating matrices\n");
  //Float_t point[kDimensionTheta][kDimensionPhi][kDimensionOmega];
  //Float_t point1[kDimensionTheta][kDimensionPhi][kDimensionOmega];
  //printf("Created matrices\n");

  Int_t ***point = i3tensor(0,kDimensionTheta,0,kDimensionPhi,0,kDimensionOmega);
  Int_t ***point1 = i3tensor(0,kDimensionTheta,0,kDimensionPhi,0,kDimensionOmega);
  
  //Int_t **point  = new Int_t[kDimensionTheta][kDimensionPhi][kDimensionOmega];
  //Int_t **point1 = new Int_t[kDimensionTheta][kDimensionPhi][kDimensionOmega];

  steptheta=(kMaxTheta-kMinTheta)/kDimensionTheta;
  stepphi=(kMaxPhi-kMinPhi)/kDimensionPhi;

  static TH3F *Points = new TH3F("Points","Reconstructed points 3D",kDimensionTheta,0,kDimensionTheta,kDimensionPhi,0,kDimensionPhi,kDimensionOmega,0,kDimensionOmega);
  static TH2F *ThetaPhi = new TH2F("ThetaPhi","Theta-Phi projection",kDimensionTheta,0,kDimensionTheta,kDimensionPhi,0,kDimensionPhi);
  static TH2F *OmegaTheta = new TH2F("OmegaTheta","Omega-Theta projection",kDimensionTheta,0,kDimensionTheta,kDimensionOmega,0,kDimensionOmega);
  static TH2F *OmegaPhi = new TH2F("OmegaPhi","Omega-Phi projection",kDimensionPhi,0,kDimensionPhi,kDimensionOmega,0,kDimensionOmega);
  static TH3F *SpotPoints = new TH3F("Points","Reconstructed points 3D, spot",kDimensionTheta,0,kDimensionTheta,kDimensionPhi,0,kDimensionPhi,kDimensionOmega,0,kDimensionOmega);
  static TH2F *SpotThetaPhi = new TH2F("ThetaPhi","Theta-Phi projection, spot",kDimensionTheta,0,kDimensionTheta,kDimensionPhi,0,kDimensionPhi);
  static TH2F *SpotOmegaTheta = new TH2F("OmegaTheta","Omega-Theta projection, spot",kDimensionTheta,0,kDimensionTheta,kDimensionOmega,0,kDimensionOmega);
  static TH2F *SpotOmegaPhi = new TH2F("OmegaPhi","Omega-Phi projection, spot",kDimensionPhi,0,kDimensionPhi,kDimensionOmega,0,kDimensionOmega);
  static TH2F *DigitsXY = new TH2F("DigitsXY","Pads used for reconstruction",150,-25,25,150,-25,25);
  Points->SetXTitle("theta");
  Points->SetYTitle("phi");
  Points->SetZTitle("omega");
  ThetaPhi->SetXTitle("theta");
  ThetaPhi->SetYTitle("phi");
  OmegaTheta->SetXTitle("theta");
  OmegaTheta->SetYTitle("omega");
  OmegaPhi->SetXTitle("phi");
  OmegaPhi->SetYTitle("omega");
  SpotPoints->SetXTitle("theta");
  SpotPoints->SetYTitle("phi");
  SpotPoints->SetZTitle("omega");
  SpotThetaPhi->SetXTitle("theta");
  SpotThetaPhi->SetYTitle("phi");
  SpotOmegaTheta->SetXTitle("theta");
  SpotOmegaTheta->SetYTitle("omega");
  SpotOmegaPhi->SetXTitle("phi");
  SpotOmegaPhi->SetYTitle("omega");

  Int_t ntracks = (Int_t)gAlice->TreeH()->GetEntries();
  //Int_t ntrks = gAlice->GetNtrack();
  
  Float_t trackglob[3];
  Float_t trackloc[3];

  //printf("Area de uma elipse com teta 0 e Omega 45:%f",Area(0,45));
    
  Int_t track;
	
  for (track=0; track<ntracks;track++) {
    gAlice->ResetHits();
    gAlice->TreeH()->GetEvent(track);
    TClonesArray *pHits  = pRICH->Hits();
    if (pHits == 0) return;
    Int_t nhits = pHits->GetEntriesFast();
    if (nhits == 0) continue;
    //Int_t nent=(Int_t)gAlice->TreeD()->GetEntries();
    gAlice->TreeD()->GetEvent(0);
    AliRICHHit *mHit = 0;
    AliRICHDigit *points = 0;
    //Int_t npoints=0;
    
    Int_t counter=0, counter1=0;
    //Initialization
    for(i=0;i<kDimensionTheta;i++)
      {
	for(j=0;j<kDimensionPhi;j++)
	  {
	    for(k=0;k<kDimensionOmega;k++)
	      {
		counter++;
		point[i][j][k]=0;
		//printf("Dimensions theta:%d, phi:%d, omega:%d",kDimensionTheta,kDimensionPhi,kDimensionOmega);
		//printf("Resetting %d %d %d, time %d\n",i,j,k,counter);
		//-Noise_Level*(Area(i*kPi/(18*dimension),k*kMaxOmega/dimension)-Area((i-1)*kPi/(18*dimension),(k-1)*kMaxOmega/dimension));
		//printf("n-%f",-Noise_Level*(Area(i*kPi/(18*dimension),k*kMaxOmega/dimension)-Area((i-1)*kPi/(18*dimension),(k-1)*kMaxOmega/dimension)));
	      }
	  }
      }
    mHit = (AliRICHHit*) pHits->UncheckedAt(0);
    //printf("Aqui vou eu\n");
    Int_t nch  = mHit->Chamber();
    //printf("Aqui fui eu\n");
    trackglob[0] = mHit->X();
    trackglob[1] = mHit->Y();
    trackglob[2] = mHit->Z();

    printf("Chamber processed:%d\n",nch);

    printf("Reconstructing particle at (global coordinates): %3.1f %3.1f %3.1f,\n",trackglob[0],trackglob[1],trackglob[2]);

    iChamber = &(pRICH->Chamber(nch-1));
    
    //printf("Nch:%d\n",nch);

    iChamber->GlobaltoLocal(trackglob,trackloc);
    
    printf("Reconstructing particle at (local coordinates) : %3.1f %3.1f %3.1f\n",trackloc[0],trackloc[1],trackloc[2]);


    iChamber->LocaltoGlobal(trackloc,trackglob);
       
    //printf("Transformation 2: %3.1f %3.1f %3.1f\n",trackglob[0],trackglob[1],trackglob[2]);
    
    cx=trackloc[0];
    cy=trackloc[2];
     

    TClonesArray *pDigits = pRICH->DigitsAddress(nch-1);   
    Int_t ndigits = pDigits->GetEntriesFast();
    
    //printf("Got %d digits\n",ndigits);

    counter=0;
    printf("Starting calculations\n");
    for(Float_t theta=0;theta<kMaxTheta;theta+=steptheta)
      {		
	//printf(".");
	for(Float_t phi=0;phi<=kMaxPhi;phi+=stepphi)
	  {		
	    //printf("Phi:%3.1f\n", phi*180/kPi);
	    counter1=0;
	    for (Int_t dig=0;dig<ndigits;dig++)
	      {	
		points=(AliRICHDigit*) pDigits->UncheckedAt(dig);
		segmentation->GetPadC(points->PadX(), points->PadY(),x, y, z);
		x=x-cx;
		y=y-cy;
		radius=TMath::Sqrt(TMath::Power(x,2)+TMath::Power(y,2));

		if(radius>4)
		  {
		    //if(theta==0 && phi==0)
		      //{
			//printf("Radius: %f, Max Radius: %f\n",radius,kCorr*kHeight*tan(theta+kMaxOmega)*3/4);
			meanradius+=radius;
			counter++;
		      //}
		    
		    if (radius<2*kHeight*tan(theta+kMaxOmega)*3/4)
		      {
			
			if(phi==0)
			  {
			    //printf("Radius: %f, Max Radius: %f\n",radius,2*kHeight*tan(theta+kMaxOmega)*3/4);
			    //printf("Loaded digit %d with coordinates x:%f, y%f\n",dig,x,y);
			    //printf("Using digit %d, for theta %f\n",dig,theta);
			  }
			
			counter1++;

			l=kHeight/cos(theta);
			
			//x=x*kCorr;
			//y=y*kCorr;
			/*if(SnellAngle(theta+omega)<999)
			  {
			    //printf("(Angle)/(Snell angle):%f\n",(theta+omega)/SnellAngle(theta+omega));
			    x=x*(theta+omega)/SnellAngle(theta+omega);
			    y=y*(theta+omega)/SnellAngle(theta+omega);
			  }
			else
			  {
			    x=0;
			    y=0;
			  }*/

			//main calculation

			DigitsXY->Fill(x,y,(float) 1);

			theta1=SnellAngle(theta)*1.5;
		
			aux1=-y*sin(phi)+x*cos(phi);
			aux2=y*cos(phi)+x*sin(phi);
			aux3=( TMath::Power(aux1,2)+TMath::Power(cos(theta1)*aux2 ,2))/TMath::Power(sin(theta1)*aux2+l,2);
			omega=atan(sqrt(aux3));
			
			//omega is distorted, theta1 is distorted

			if(InvSnellAngle(theta+omega)<999)
			  {
			    omega1=InvSnellAngle(omega+theta1) - theta;
			    //theta1=InvSnellAngle(omega+theta) - omega1;
			    //omega1=kCorr*omega;
			    
			    kCorr=InvSnellAngle(omega+theta)/(omega+theta);
			    theta1=kCorr*theta/1.4;
			    //if(phi==0)
			      //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);
			  }
			else
			  {
			    omega1=0;
			    theta1=0;
			  }
			
			//printf("Omega:%f\n",omega);


			//if(SnellAngle(theta+omega)<999)
			  //printf("(Angle)/(Snell angle):%f\n",(theta+omega)/SnellAngle(theta+omega));
			if(theta==0 && phi==0)
			  {
			    //printf("Omega: %f Corrected Omega: %f\n",omega, omega/kCorr);
			    //omega=omega/kCorr;
			  }
			
			//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;
			//{Int_t lixo;cin>>lixo;}
			if(omega1<kMaxOmega && omega1>kMinOmega)
			  {
			    //printf("Omega found:%f\n",omega);
			    omega1=omega1-kMinOmega;
			    
			    //printf("Omega: %f Theta: %3.1f Phi:%3.1f\n",omega, theta*180/kPi, phi*180/kPi);

			    bintheta=theta1*kDimensionTheta/kMaxTheta;
			    binphi=phi*kDimensionPhi/kMaxPhi;
			    binomega=omega1*kDimensionOmega/(kMaxOmega-kMinOmega);

			    if(Int_t(bintheta+0.5)==Int_t(bintheta))
			      inttheta=Int_t(bintheta);
			    else
			      inttheta=Int_t(bintheta+0.5);

			    if(Int_t(binomega+0.5)==Int_t(binomega))
			      intomega=Int_t(binomega);
			    else
			      intomega=Int_t(binomega+0.5);
			    
			    if(Int_t(binphi+0.5)==Int_t(binphi))
			      intphi=Int_t(binphi);
			    else
			      intphi=Int_t(binphi+0.5);
			 			 
			    //printf("Point added at %d %d %d\n",inttheta,intphi,intomega);
			    point[inttheta][intphi][intomega]+=1;
			    //printf("Omega stored:%d\n",intomega);
			    Points->Fill(inttheta,intphi,intomega,(float) 1);
			    ThetaPhi->Fill(inttheta,intphi,(float) 1);
			    OmegaTheta->Fill(inttheta,intomega,(float) 1);
			    OmegaPhi->Fill(intphi,intomega,(float) 1);
			    //printf("Filling at %d %d %d\n",Int_t(theta*kDimensionTheta/kMaxTheta),Int_t(phi*kDimensionPhi/kMaxPhi),Int_t(omega*kDimensionOmega/kMaxOmega));
			  }
			//if(omega<kMaxOmega)point[Int_t(theta)][Int_t(phi)][Int_t(omega)]+=1;
		      }
		  }
	      }
	  }
	//printf("Used %d digits for theta %3.1f\n",counter1, theta*180/kPi);
      }

    meanradius=meanradius/counter;
    printf("Mean radius:%f, counter:%d\n",meanradius,counter);
    rechit[5]=meanradius;
    printf("Used %d digits\n",counter1);
    //printf("\n");

    if(nev<20)
      {
	if(nev==0)
	  {
	    fc1->cd(1);
	    Points->Draw();
	    fc1->cd(2);
	    ThetaPhi->Draw();
	    fc1->cd(3);
	    OmegaTheta->Draw();
	    fc1->cd(4);
	    OmegaPhi->Draw();
	    fc3->cd();
	    DigitsXY->Draw();
	  }
	else
	  {
	    //fc1->cd(1);
	    //Points->Draw("same");
	    //fc1->cd(2);
	    //ThetaPhi->Draw("same");
	    //fc1->cd(3);
	    //OmegaTheta->Draw("same");
	    //fc1->cd(4);
	    //OmegaPhi->Draw("same");	
	  }
      }
	
    
    //SPOT execute twice
    for(Int_t s=0;s<kSpot;s++)
      {
	printf("     Applying Spot algorithm, pass %d\n", s);
	
	//buffer copy
	for(i=0;i<=kDimensionTheta;i++)
	  {
	    for(j=0;j<=kDimensionPhi;j++)
	      {
		for(k=0;k<=kDimensionOmega;k++)
		  {
		    point1[i][j][k]=point[i][j][k];	
		  }
	      }
	  }

	//SPOT algorithm			
	for(i=1;i<kDimensionTheta-1;i++)
	  {
	    for(j=1;j<kDimensionPhi-1;j++)
	      {
		for(k=1;k<kDimensionOmega-1;k++)
		  {
		    if((point[i][k][j]>point[i-1][k][j])&&(point[i][k][j]>point[i+1][k][j])&&
		       (point[i][k][j]>point[i][k-1][j])&&(point[i][k][j]>point[i][k+1][j])&&
		       (point[i][k][j]>point[i][k][j-1])&&(point[i][k][j]>point[i][k][j+1]))
		      {
			//cout<<"SPOT"<<endl;
			//Execute SPOT on point											   	
			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]));    
			point1[i-1][k][j]=Int_t(SPOTp*point[i-1][k][j]);
			point1[i+1][k][j]=Int_t(SPOTp*point[i+1][k][j]);
			point1[i][k-1][j]=Int_t(SPOTp*point[i][k-1][j]);
			point1[i][k+1][j]=Int_t(SPOTp*point[i][k+1][j]);
			point1[i][k][j-1]=Int_t(SPOTp*point[i][k][j-1]);
			point1[i][k][j+1]=Int_t(SPOTp*point[i][k][j+1]);
		      }
		  }
	      }
	  }
	
	//copy from buffer copy
	counter1=0;
	for(i=1;i<kDimensionTheta;i++)
	  {
	    for(j=1;j<kDimensionPhi;j++)
	      {
		for(k=1;k<kDimensionOmega;k++)
		  {
		    point[i][j][k]=point1[i][j][k];
		    if(nev<20)
		      {
			if(s==kSpot-1)
			  {
			    if(point1[i][j][k] != 0)
			      {
				SpotPoints->Fill(i,j,k,(float) point1[i][j][k]);
				//printf("Random number %f\n",random->Rndm(2));
				//if(random->Rndm() < .2)
				  //{
				SpotThetaPhi->Fill(i,j,(float) point1[i][j][k]);
				SpotOmegaTheta->Fill(i,k,(float) point1[i][j][k]);
				SpotOmegaPhi->Fill(j,k,(float) point1[i][j][k]);
				    counter1++;
				  //}
				//printf("Filling at %d %d %d value %f\n",i,j,k,(float) point1[i][j][k]);
			      }
			  }
		      }
		    //if(point1[i][j][k] != 0)
		      //printf("Last transfer point: %d, point1, %d\n",point[i][j][k],point1[i][j][k]);
		  }
	      }
	  }
      }
    
    //printf("Filled %d cells\n",counter1);

    if(nev<20)
      {
	if(nev==0)
	  {
	    fc2->cd(1);
	    SpotPoints->Draw();
	    fc2->cd(2);
	    SpotThetaPhi->Draw();
	    fc2->cd(3);
	    SpotOmegaTheta->Draw();
	    fc2->cd(4);
	    SpotOmegaPhi->Draw();
	  }
	else
	  {
	    //fc2->cd(1);
	    //SpotPoints->Draw("same");
	    //fc2->cd(2);
	    //SpotThetaPhi->Draw("same");
	    //fc2->cd(3);
	    //SpotOmegaTheta->Draw("same");
	    //fc2->cd(4);
	    //SpotOmegaPhi->Draw("same");	
	  }
      }
    
    
    //Identification is equivalent to maximum determination
    max=0;maxi=0;maxj=0;maxk=0;
    
    printf("     Proceeding to identification");
    
    for(i=0;i<kDimensionTheta;i++)
      for(j=0;j<kDimensionPhi;j++)
	for(k=0;k<kDimensionOmega;k++)
	    if(point[i][j][k]>max)
	      {
		//cout<<"maxi="<<i*90/dimension<<" maxj="<<j*90/dimension<<" maxk="<<k*kMaxOmega/dimension*180/kPi<<" max="<<max<<endl;
		maxi=i;maxj=j;maxk=k;
		max=point[i][j][k];
		printf(".");
		//printf("Max Omega %d, Max Theta %d, Max Phi %d (%d counts)\n",maxk,maxi,maxj,max);
	      }
    printf("\n");
    
    Float_t FinalOmega = maxk*(kMaxOmega-kMinOmega)/kDimensionOmega; 
    Float_t FinalTheta = maxi*kMaxTheta/kDimensionTheta;
    Float_t FinalPhi = maxj*kMaxPhi/kDimensionPhi;

    FinalOmega += kMinOmega;
    
    //printf("Detected angle for height %3.1f and for center %3.1f %3.1f:%f\n",h,cx,cy,maxk*kPi/(kDimensionTheta*4));
    printf("     Indentified angles: cerenkov - %f, theta - %3.1f, phi - %3.1f (%f activation)\n", FinalOmega, FinalTheta*180/kPi, FinalPhi*180/kPi, max);
    //printf("Detected angle for height %3.1f and for center %3.1f %3.1f:%f\n",kHeight,cx,cy,maxk);

    //fscanf(omegas,"%f",&realomega);
    //fscanf(thetas,"%f",&realtheta);
    //printf("Real Omega: %f",realomega);			
    //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;		
    
    //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));
    
    /*for(j=0;j<np;j++)
      pointpp(maxj*90/kDimensionTheta,maxi*90/kDimensionPhi,maxk*kMaxOmega/kDimensionOmega*180/kPi,cx,cy);//Generates a point on the elipse*/		    


    //Start filling rec. hits
    
    rechit[0] = FinalTheta;
    rechit[1] = 90*kPi/180 + FinalPhi;
    rechit[2] = FinalOmega;
    rechit[3] = cx;
    rechit[4] = cy;

    //CreatePoints(FinalTheta, 270*kPi/180 + FinalPhi, FinalOmega, kHeight);
       
    //printf ("track %d, theta %f, phi %f, omega %f\n\n\n",track,rechit[0],rechit[1],rechit[2]);
    
    // fill rechits
    pRICH->AddRecHit3D(nch-1,rechit);
    //printf("rechit %f %f %f %f %f\n",rechit[0],rechit[1],rechit[2],rechit[3],rechit[4]);
    //printf("Chamber:%d",nch);
  }			
  //printf("\n\n\n\n");
  gAlice->TreeR()->Fill();
  TClonesArray *fRec;
  for (i=0;i<kNCH;i++) {
    fRec=pRICH->RecHitsAddress3D(i);
    int ndig=fRec->GetEntriesFast();
    printf ("Chamber %d, rings %d\n",i+1,ndig);
  }
  pRICH->ResetRecHits3D();

  free_i3tensor(point,0,kDimensionTheta,0,kDimensionPhi,0,kDimensionOmega);
  free_i3tensor(point1,0,kDimensionTheta,0,kDimensionPhi,0,kDimensionOmega);
}



Float_t AliRICHDetect:: Area(Float_t theta,Float_t omega)
{

//
// Calculates area of an ellipse for given incidence angles    


    Float_t area;
    const Float_t kHeight=9.25;                       //Distance from Radiator to Pads in pads
    
    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);
    
    return (area);
}


Int_t ***AliRICHDetect::i3tensor(long nrl, long nrh, long ncl, long nch, long ndl, long ndh)
// allocate a Int_t 3tensor with range t[nrl..nrh][ncl..nch][ndl..ndh] 
{
  long i,j,nrow=nrh-nrl+1,ncol=nch-ncl+1,ndep=ndh-ndl+1;
  Int_t ***t;
  
  int NR_END=1; 

  // allocate pointers to pointers to rows 
  t=(Int_t ***) malloc((size_t)((nrow+NR_END)*sizeof(Int_t**)));
  if (!t) printf("allocation failure 1 in f3tensor()");
  t += NR_END;
  t -= nrl;
  
  // allocate pointers to rows and set pointers to them 
  t[nrl]=(Int_t **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(Int_t*)));
  if (!t[nrl]) printf("allocation failure 2 in f3tensor()");
  t[nrl] += NR_END;
  t[nrl] -= ncl;
  
  // allocate rows and set pointers to them 
  t[nrl][ncl]=(Int_t *) malloc((size_t)((nrow*ncol*ndep+NR_END)*sizeof(Int_t)));
  if (!t[nrl][ncl]) printf("allocation failure 3 in f3tensor()");
  t[nrl][ncl] += NR_END;
  t[nrl][ncl] -= ndl;
  
  for(j=ncl+1;j<=nch;j++) t[nrl][j]=t[nrl][j-1]+ndep;
  for(i=nrl+1;i<=nrh;i++) {
    t[i]=t[i-1]+ncol;
    t[i][ncl]=t[i-1][ncl]+ncol*ndep;
    for(j=ncl+1;j<=nch;j++) t[i][j]=t[i][j-1]+ndep;
  }
  
  // return pointer to array of pointers to rows 
  return t;
}

void AliRICHDetect::free_i3tensor(int ***t, long nrl, long nrh, long ncl, long nch,long ndl, long ndh)
// free a Int_t f3tensor allocated by i3tensor()
{
  int NR_END=1; 

  free((char*) (t[nrl][ncl]+ndl-NR_END));
  free((char*) (t[nrl]+ncl-NR_END));
  free((char*) (t+nrl-NR_END));
}


Float_t AliRICHDetect:: SnellAngle(Float_t iangle)
{ 

// Compute the Snell angle

  Float_t nfreon  = 1.295;
  Float_t nquartz = 1.585;
  Float_t ngas = 1;

  Float_t sinrangle;
  Float_t rangle;
  Float_t a1, a2;

  a1=nfreon/nquartz;
  a2=nquartz/ngas;

  sinrangle = a1*a2*sin(iangle);

  if(sinrangle>1.) {
     rangle = 999.;
     return rangle;
  }
  
  rangle = asin(sinrangle);  
  return rangle;
}

Float_t AliRICHDetect:: InvSnellAngle(Float_t rangle)
{ 

// Compute the inverse Snell angle

  Float_t nfreon  = 1.295;
  Float_t nquartz = 1.585;
  Float_t ngas = 1;

  Float_t siniangle;
  Float_t iangle;
  Float_t a1,a2;

  a1=nfreon/nquartz;
  a2=nquartz/ngas;

  siniangle = sin(rangle)/(a1*a2);
  iangle = asin(siniangle);

  if(siniangle>1.) {
     iangle = 999.;
     return iangle;
  }
  
  iangle = asin(siniangle);
  return iangle;
}



//________________________________________________________________________________
void AliRICHDetect::CreatePoints(Float_t theta, Float_t phi, Float_t omega, Float_t h)
{
  
  // Create points along the ellipse equation
  
  Int_t s1,s2;
  Float_t fiducial=h*TMath::Tan(omega+theta), l=h/TMath::Cos(theta), xtrial, y=0, c0, c1, c2;
  //TRandom *random=new TRandom();
  
  static TH2F *REllipse = new TH2F("REllipse","Reconstructed ellipses",150,-25,25,150,-25,25);

  for(Float_t i=0;i<1000;i++)
    {
      
      Float_t counter=0;
      
      c0=0;c1=0;c2=0;
      while((c1*c1-4*c2*c0)<=0 && counter<1000)
	{
	  //Choose which side to go...
	  if(i>250 && i<750) s1=1; 
	  //if (gRandom->Rndm(1)>.5) s1=1;
	  else s1=-1;
	  //printf("s1:%d\n",s1);
	  //Trial a y
	  y=s1*i*gRandom->Rndm(Int_t(fiducial/50));
	  //printf("Fiducial %f  for omega:%f theta:%f phi:%f\n",fiducial,omega,theta,fphi);
	  Float_t alfa1=theta;
	  Float_t theta1=phi;
	  Float_t omega1=omega;
	  
	  //Solve the eq for a trial x
	  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);
	  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);
	  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);
	  //cout<<"Trial: y="<<y<<"c0="<<c0<<" c1="<<c1<<" c2="<<c2<<endl;
	  //printf("Result:%f\n\n",c1*c1-4*c2*c0);
	  //i+=.01;
	  counter +=1;
	}
      
      if (counter>=1000)
	y=0; 

      //Choose which side to go...
      //if(gRandom->Rndm(1)>.5) s=1; 
      //else s=-1;
      if(i>500) s2=1;
      //if (gRandom->Rndm(1)>.5) s2=1;
      else s2=-1;
      xtrial=(-c1+s2*TMath::Sqrt(c1*c1-4*c2*c0))/(2*c2);
      //cout<<"x="<<xtrial<<" y="<<cy+y<<endl;
      //printf("Coordinates: %f %f\n",xtrial,fCy+y);

      REllipse->Fill(xtrial,y);

      //printf("Coordinates: %f %f %f\n",vectorGlob[0],vectorGlob[1],vectorGlob[2]);
    }
  
  fc3->cd(2);
  REllipse->Draw();
}